LMFDB - Embedded newform 165.2.w.a.7.9

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			7.9
Character	$\chi$	$=$	165.7
Dual form			165.2.w.a.118.9

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.73704 - 0.275120i) q^{2} +(0.453990 + 0.891007i) q^{3} +(1.03949 - 0.337751i) q^{4} +(-0.351743 - 2.20823i) q^{5} +(1.03373 + 1.42281i) q^{6} +(3.16835 + 1.61435i) q^{7} +(-1.42129 + 0.724185i) q^{8} +(-0.587785 + 0.809017i) q^{9} +O(q^{10})$	\(q+(1.73704 - 0.275120i) q^{2} +(0.453990 + 0.891007i) q^{3} +(1.03949 - 0.337751i) q^{4} +(-0.351743 - 2.20823i) q^{5} +(1.03373 + 1.42281i) q^{6} +(3.16835 + 1.61435i) q^{7} +(-1.42129 + 0.724185i) q^{8} +(-0.587785 + 0.809017i) q^{9} +(-1.21852 - 3.73900i) q^{10} +(-3.28967 + 0.421987i) q^{11} +(0.772858 + 0.772858i) q^{12} +(-0.617875 - 3.90111i) q^{13} +(5.94768 + 1.93252i) q^{14} +(1.80786 - 1.31592i) q^{15} +(-4.03809 + 2.93384i) q^{16} +(-0.00823225 + 0.0519764i) q^{17} +(-0.798428 + 1.56700i) q^{18} +(-0.125987 + 0.387749i) q^{19} +(-1.11147 - 2.17663i) q^{20} +3.55592i q^{21} +(-5.59818 + 1.63806i) q^{22} +(-2.20366 + 2.20366i) q^{23} +(-1.29051 - 0.937609i) q^{24} +(-4.75255 + 1.55346i) q^{25} +(-2.14654 - 6.60637i) q^{26} +(-0.987688 - 0.156434i) q^{27} +(3.83872 + 0.607994i) q^{28} +(-1.75189 - 5.39176i) q^{29} +(2.77828 - 2.78318i) q^{30} +(5.87256 + 4.26666i) q^{31} +(-3.95126 + 3.95126i) q^{32} +(-1.86947 - 2.73954i) q^{33} +0.0925497i q^{34} +(2.45042 - 7.56428i) q^{35} +(-0.337751 + 1.03949i) q^{36} +(2.73134 - 5.36055i) q^{37} +(-0.112167 + 0.708195i) q^{38} +(3.19540 - 2.32160i) q^{39} +(2.09910 + 2.88382i) q^{40} +(-1.71294 - 0.556568i) q^{41} +(0.978303 + 6.17676i) q^{42} +(1.80411 + 1.80411i) q^{43} +(-3.27706 + 1.54974i) q^{44} +(1.99324 + 1.01340i) q^{45} +(-3.22156 + 4.43410i) q^{46} +(-6.65773 + 3.39228i) q^{47} +(-4.44733 - 2.26603i) q^{48} +(3.31779 + 4.56655i) q^{49} +(-7.82797 + 4.00593i) q^{50} +(-0.0500487 + 0.0162618i) q^{51} +(-1.95988 - 3.84648i) q^{52} +(8.56606 - 1.35673i) q^{53} -1.75869 q^{54} +(2.08896 + 7.11591i) q^{55} -5.67224 q^{56} +(-0.402684 + 0.0637788i) q^{57} +(-4.52647 - 8.88370i) q^{58} +(14.0520 - 4.56577i) q^{59} +(1.43480 - 1.97849i) q^{60} +(8.29176 + 11.4126i) q^{61} +(11.3747 + 5.79569i) q^{62} +(-3.16835 + 1.61435i) q^{63} +(0.0912729 - 0.125626i) q^{64} +(-8.39721 + 2.73659i) q^{65} +(-4.00104 - 4.24435i) q^{66} +(-4.15401 - 4.15401i) q^{67} +(0.00899774 + 0.0568095i) q^{68} +(-2.96391 - 0.963033i) q^{69} +(2.17539 - 13.8136i) q^{70} +(11.1795 - 8.12242i) q^{71} +(0.249537 - 1.57552i) q^{72} +(-5.71228 + 11.2110i) q^{73} +(3.26964 - 10.0629i) q^{74} +(-3.54175 - 3.52930i) q^{75} +0.445614i q^{76} +(-11.1041 - 3.97369i) q^{77} +(4.91181 - 4.91181i) q^{78} +(6.38755 + 4.64083i) q^{79} +(7.89897 + 7.88507i) q^{80} +(-0.309017 - 0.951057i) q^{81} +(-3.12856 - 0.495515i) q^{82} +(-6.77719 - 1.07340i) q^{83} +(1.20102 + 3.69635i) q^{84} +(0.117671 - 0.000103613i) q^{85} +(3.63015 + 2.63746i) q^{86} +(4.00875 - 4.00875i) q^{87} +(4.36999 - 2.98210i) q^{88} +12.0063i q^{89} +(3.74114 + 1.21193i) q^{90} +(4.34013 - 13.3575i) q^{91} +(-1.54639 + 3.03497i) q^{92} +(-1.13554 + 7.16951i) q^{93} +(-10.6314 + 7.72419i) q^{94} +(0.900553 + 0.141821i) q^{95} +(-5.31443 - 1.72676i) q^{96} +(-1.76753 - 11.1598i) q^{97} +(7.01948 + 7.01948i) q^{98} +(1.59222 - 2.90944i) 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 $

$2$	1.73704	−	0.275120i	1.22827	−	0.194539i	0.491618	−	0.870811i	$-0.336406\pi$
$2$	1.73704	−	0.275120i	1.22827	−	0.194539i	0.736652	+	0.676272i	$0.236406\pi$
$3$	0.453990	+	0.891007i	0.262112	+	0.514423i
$3$	0.453990	+	0.891007i	0.262112	+	0.514423i
$4$	1.03949	−	0.337751i	0.519746	−	0.168876i
$5$	−0.351743	−	2.20823i	−0.157304	−	0.987550i
$5$	−0.351743	−	2.20823i	−0.157304	−	0.987550i
$6$	1.03373	+	1.42281i	0.422019	+	0.580859i
$7$	3.16835	+	1.61435i	1.19752	+	0.610168i	0.934962	−	0.354747i	$-0.115433\pi$
$7$	3.16835	+	1.61435i	1.19752	+	0.610168i	0.262561	+	0.964915i	$0.415433\pi$
$8$	−1.42129	+	0.724185i	−0.502503	+	0.256038i
$9$	−0.587785	+	0.809017i	−0.195928	+	0.269672i
$10$	−1.21852	−	3.73900i	−0.385329	−	1.18238i
$11$	−3.28967	+	0.421987i	−0.991873	+	0.127234i
$11$	−3.28967	+	0.421987i	−0.991873	+	0.127234i
$12$	0.772858	+	0.772858i	0.223105	+	0.223105i
$13$	−0.617875	−	3.90111i	−0.171368	−	1.08197i	−0.912039	−	0.410104i	$-0.865492\pi$
$13$	−0.617875	−	3.90111i	−0.171368	−	1.08197i	0.740671	−	0.671868i	$-0.234508\pi$
$14$	5.94768	+	1.93252i	1.58958	+	0.516487i
$15$	1.80786	−	1.31592i	0.466787	−	0.339769i
$16$	−4.03809	+	2.93384i	−1.00952	+	0.733461i
$17$	−0.00823225	+	0.0519764i	−0.00199661	+	0.0126061i	−0.988667	−	0.150128i	$-0.952031\pi$
$17$	−0.00823225	+	0.0519764i	−0.00199661	+	0.0126061i	0.986670	+	0.162734i	$0.0520314\pi$
$18$	−0.798428	+	1.56700i	−0.188191	+	0.369346i
$19$	−0.125987	+	0.387749i	−0.0289034	+	0.0889557i	−0.964468	−	0.264201i	$-0.914892\pi$
$19$	−0.125987	+	0.387749i	−0.0289034	+	0.0889557i	0.935564	+	0.353157i	$0.114892\pi$
$20$	−1.11147	−	2.17663i	−0.248531	−	0.486710i
$21$			3.55592i			0.775965i
$22$	−5.59818	+	1.63806i	−1.19354	+	0.349235i
$23$	−2.20366	+	2.20366i	−0.459494	+	0.459494i	−0.898489	−	0.438995i	$-0.855334\pi$
$23$	−2.20366	+	2.20366i	−0.459494	+	0.459494i	0.438995	+	0.898489i	$0.355334\pi$
$24$	−1.29051	−	0.937609i	−0.263424	−	0.191389i
$25$	−4.75255	+	1.55346i	−0.950511	+	0.310691i
$26$	−2.14654	−	6.60637i	−0.420971	−	1.29562i
$27$	−0.987688	−	0.156434i	−0.190081	−	0.0301058i
$28$	3.83872	+	0.607994i	0.725450	+	0.114900i
$29$	−1.75189	−	5.39176i	−0.325317	−	1.00122i	−0.971297	−	0.237870i	$-0.923551\pi$
$29$	−1.75189	−	5.39176i	−0.325317	−	1.00122i	0.645980	−	0.763355i	$-0.276449\pi$
$30$	2.77828	−	2.78318i	0.507242	−	0.508137i
$31$	5.87256	+	4.26666i	1.05474	+	0.766315i	0.973109	−	0.230347i	$-0.0739861\pi$
$31$	5.87256	+	4.26666i	1.05474	+	0.766315i	0.0816341	+	0.996662i	$0.473986\pi$
$32$	−3.95126	+	3.95126i	−0.698491	+	0.698491i
$33$	−1.86947	−	2.73954i	−0.325433	−	0.476893i
$34$			0.0925497i			0.0158721i
$35$	2.45042	−	7.56428i	0.414197	−	1.27860i
$36$	−0.337751	+	1.03949i	−0.0562919	+	0.173249i
$37$	2.73134	−	5.36055i	0.449029	−	0.881269i	−0.549910	−	0.835224i	$-0.685338\pi$
$37$	2.73134	−	5.36055i	0.449029	−	0.881269i	0.998939	−	0.0460452i	$-0.0146618\pi$
$38$	−0.112167	+	0.708195i	−0.0181959	+	0.114884i
$39$	3.19540	−	2.32160i	0.511674	−	0.371753i
$40$	2.09910	+	2.88382i	0.331896	+	0.455971i
$41$	−1.71294	−	0.556568i	−0.267516	−	0.0869213i	0.172187	−	0.985064i	$-0.444917\pi$
$41$	−1.71294	−	0.556568i	−0.267516	−	0.0869213i	−0.439704	+	0.898143i	$0.644917\pi$
$42$	0.978303	+	6.17676i	0.150955	+	0.953095i
$43$	1.80411	+	1.80411i	0.275124	+	0.275124i	0.831159	−	0.556035i	$-0.187678\pi$
$43$	1.80411	+	1.80411i	0.275124	+	0.275124i	−0.556035	+	0.831159i	$0.687678\pi$
$44$	−3.27706	+	1.54974i	−0.494035	+	0.233632i
$45$	1.99324	+	1.01340i	0.297135	+	0.151069i
$46$	−3.22156	+	4.43410i	−0.474993	+	0.653772i
$47$	−6.65773	+	3.39228i	−0.971130	+	0.494815i	−0.866218	−	0.499666i	$-0.833456\pi$
$47$	−6.65773	+	3.39228i	−0.971130	+	0.494815i	−0.104912	+	0.994482i	$0.533456\pi$
$48$	−4.44733	−	2.26603i	−0.641917	−	0.327073i
$49$	3.31779	+	4.56655i	0.473971	+	0.652365i
$50$	−7.82797	+	4.00593i	−1.10704	+	0.566524i
$51$	−0.0500487	+	0.0162618i	−0.00700822	+	0.00227711i
$52$	−1.95988	−	3.84648i	−0.271786	−	0.533411i
$53$	8.56606	−	1.35673i	1.17664	−	0.186361i	0.462665	−	0.886533i	$-0.346893\pi$
$53$	8.56606	−	1.35673i	1.17664	−	0.186361i	0.713974	+	0.700172i	$0.246893\pi$
$54$	−1.75869			−0.239327
$55$	2.08896	+	7.11591i	0.281675	+	0.959510i
$56$	−5.67224			−0.757986
$57$	−0.402684	+	0.0637788i	−0.0533368	+	0.00844771i
$58$	−4.52647	−	8.88370i	−0.594355	−	1.16649i
$59$	14.0520	−	4.56577i	1.82941	−	0.594413i	0.830091	−	0.557628i	$-0.188288\pi$
$59$	14.0520	−	4.56577i	1.82941	−	0.594413i	0.999323	−	0.0367850i	$-0.0117117\pi$
$60$	1.43480	−	1.97849i	0.185232	−	0.255423i
$61$	8.29176	+	11.4126i	1.06165	+	1.46124i	0.878251	+	0.478200i	$0.158710\pi$
$61$	8.29176	+	11.4126i	1.06165	+	1.46124i	0.183400	+	0.983038i	$0.441290\pi$
$62$	11.3747	+	5.79569i	1.44459	+	0.736054i
$63$	−3.16835	+	1.61435i	−0.399174	+	0.203389i
$64$	0.0912729	−	0.125626i	0.0114091	−	0.0157033i
$65$	−8.39721	+	2.73659i	−1.04155	+	0.339433i
$66$	−4.00104	−	4.24435i	−0.492494	−	0.522443i
$67$	−4.15401	−	4.15401i	−0.507493	−	0.507493i	0.406263	−	0.913756i	$-0.366832\pi$
$67$	−4.15401	−	4.15401i	−0.507493	−	0.507493i	−0.913756	+	0.406263i	$0.866832\pi$
$68$	0.00899774	+	0.0568095i	0.00109114	+	0.00688916i
$69$	−2.96391	−	0.963033i	−0.356813	−	0.115935i
$70$	2.17539	−	13.8136i	0.260009	−	1.65104i
$71$	11.1795	−	8.12242i	1.32677	−	0.963954i	0.326947	−	0.945043i	$-0.393980\pi$
$71$	11.1795	−	8.12242i	1.32677	−	0.963954i	0.999821	−	0.0189109i	$-0.00601989\pi$
$72$	0.249537	−	1.57552i	0.0294082	−	0.185676i
$73$	−5.71228	+	11.2110i	−0.668572	+	1.31215i	0.268591	+	0.963254i	$0.413442\pi$
$73$	−5.71228	+	11.2110i	−0.668572	+	1.31215i	−0.937163	+	0.348892i	$0.886558\pi$
$74$	3.26964	−	10.0629i	0.380088	−	1.16979i
$75$	−3.54175	−	3.52930i	−0.408967	−	0.407529i
$76$			0.445614i			0.0511154i
$77$	−11.1041	−	3.97369i	−1.26542	−	0.452844i
$78$	4.91181	−	4.91181i	0.556153	−	0.556153i
$79$	6.38755	+	4.64083i	0.718655	+	0.522134i	0.885954	−	0.463773i	$-0.153505\pi$
$79$	6.38755	+	4.64083i	0.718655	+	0.522134i	−0.167299	+	0.985906i	$0.553505\pi$
$80$	7.89897	+	7.88507i	0.883132	+	0.881578i
$81$	−0.309017	−	0.951057i	−0.0343352	−	0.105673i
$82$	−3.12856	−	0.495515i	−0.345492	−	0.0547205i
$83$	−6.77719	−	1.07340i	−0.743893	−	0.117821i	−0.227028	−	0.973888i	$-0.572901\pi$
$83$	−6.77719	−	1.07340i	−0.743893	−	0.117821i	−0.516865	+	0.856067i	$0.672901\pi$
$84$	1.20102	+	3.69635i	0.131042	+	0.403305i
$85$	0.117671		0.000103613i	0.0127633		1.12384e-5i
$86$	3.63015	+	2.63746i	0.391449	+	0.284405i
$87$	4.00875	−	4.00875i	0.429783	−	0.429783i
$88$	4.36999	−	2.98210i	0.465843	−	0.317893i
$89$			12.0063i			1.27267i	0.771414	+	0.636334i	$0.219550\pi$
$89$			12.0063i			1.27267i	−0.771414	+	0.636334i	$0.780450\pi$
$90$	3.74114	+	1.21193i	0.394351	+	0.127749i
$91$	4.34013	−	13.3575i	0.454969	−	1.40025i
$92$	−1.54639	+	3.03497i	−0.161223	+	0.316417i
$93$	−1.13554	+	7.16951i	−0.117750	+	0.743444i
$94$	−10.6314	+	7.72419i	−1.09655	+	0.796689i
$95$	0.900553	+	0.141821i	0.0923948	+	0.0145505i
$96$	−5.31443	−	1.72676i	−0.542402	−	0.176237i
$97$	−1.76753	−	11.1598i	−0.179466	−	1.13310i	−0.898774	−	0.438412i	$-0.855541\pi$
$97$	−1.76753	−	11.1598i	−0.179466	−	1.13310i	0.719308	−	0.694691i	$-0.244459\pi$
$98$	7.01948	+	7.01948i	0.709074	+	0.709074i
$99$	1.59222	−	2.90944i	0.160025	−	0.292409i
$100$	−4.41556	+	3.21999i	−0.441556	+	0.321999i
$101$	−0.941656	+	1.29608i	−0.0936983	+	0.128965i	−0.853292	−	0.521433i	$-0.825398\pi$
$101$	−0.941656	+	1.29608i	−0.0936983	+	0.128965i	0.759594	+	0.650398i	$0.225398\pi$
$102$	−0.0824624	+	0.0420167i	−0.00816500	+	0.00416027i
$103$	−10.7703	−	5.48773i	−1.06123	−	0.540722i	−0.165905	−	0.986142i	$-0.553055\pi$
$103$	−10.7703	−	5.48773i	−1.06123	−	0.540722i	−0.895322	+	0.445419i	$0.853055\pi$
$104$	3.70331	+	5.09716i	0.363139	+	0.499818i
$105$	7.85229	−	1.25077i	0.766305	−	0.122063i
$106$	14.5063	−	4.71338i	1.40898	−	0.457804i
$107$	1.52683	+	2.99657i	0.147604	+	0.289689i	0.952956	−	0.303107i	$-0.0980240\pi$
$107$	1.52683	+	2.99657i	0.147604	+	0.289689i	−0.805353	+	0.592796i	$0.798024\pi$
$108$	−1.07953	+	0.170981i	−0.103878	+	0.0164526i
$109$	−10.6806			−1.02302			−0.511510	−	0.859278i	$-0.670914\pi$
$109$	−10.6806			−1.02302			−0.511510	+	0.859278i	$0.670914\pi$
$110$	5.58633	+	11.7859i	0.532636	+	1.12374i
$111$	6.01628			0.571040
$112$	−17.5303	+	2.77653i	−1.65646	+	0.262358i
$113$	−3.30572	−	6.48784i	−0.310976	−	0.610325i	0.681631	−	0.731696i	$-0.261271\pi$
$113$	−3.30572	−	6.48784i	−0.310976	−	0.610325i	−0.992607	+	0.121371i	$0.961271\pi$
$114$	−0.681929	+	0.221572i	−0.0638685	+	0.0207521i
$115$	5.64130	+	4.09106i	0.526054	+	0.381493i
$116$	−3.64215	−	5.01298i	−0.338165	−	0.465444i
$117$	3.51924	+	1.79314i	0.325354	+	0.165776i
$118$	23.1527	−	11.7969i	2.13138	−	1.08599i
$119$	−0.109991	+	0.151390i	−0.0100829	+	0.0138779i
$120$	−1.61653	+	3.17953i	−0.147568	+	0.290250i
$121$	10.6439	−	2.77639i	0.967623	−	0.252400i
$122$	17.5429	+	17.5429i	1.58826	+	1.58826i
$123$	−0.281753	−	1.77892i	−0.0254048	−	0.160399i
$124$	7.54555	+	2.45170i	0.677610	+	0.220169i
$125$	5.10207	+	9.94831i	0.456343	+	0.889804i
$126$	−5.05940	+	3.67587i	−0.450727	+	0.327472i
$127$	1.07572	−	6.79183i	0.0954547	−	0.602677i	−0.892870	−	0.450315i	$-0.851312\pi$
$127$	1.07572	−	6.79183i	0.0954547	−	0.602677i	0.988325	−	0.152363i	$-0.0486882\pi$
$128$	5.19771	−	10.2011i	0.459417	−	0.901657i
$129$	−0.788425	+	2.42652i	−0.0694170	+	0.213643i
$130$	−13.8334	+	7.06380i	−1.21327	+	0.619536i
$131$		−	3.08234i		−	0.269305i	−0.990893	−	0.134652i	$-0.957008\pi$
$131$		−	3.08234i		−	0.269305i	0.990893	−	0.134652i	$-0.0429918\pi$
$132$	−2.86858	−	2.21631i	−0.249678	−	0.192905i
$133$	−1.02514	+	1.02514i	−0.0888905	+	0.0888905i
$134$	−8.35852	−	6.07282i	−0.722066	−	0.524612i
$135$	0.00196891	+	2.23607i	0.000169457	+	0.192450i
$136$	−0.0259401	−	0.0798354i	−0.00222434	−	0.00684583i
$137$	−8.82781	−	1.39819i	−0.754211	−	0.119455i	−0.232522	−	0.972591i	$-0.574698\pi$
$137$	−8.82781	−	1.39819i	−0.754211	−	0.119455i	−0.521689	+	0.853136i	$0.674698\pi$
$138$	−5.41337	−	0.857393i	−0.460816	−	0.0729862i
$139$	−2.51819	−	7.75020i	−0.213590	−	0.657364i	−0.999251	−	0.0387055i	$-0.987677\pi$
$139$	−2.51819	−	7.75020i	−0.213590	−	0.657364i	0.785660	−	0.618658i	$-0.212323\pi$
$140$	−0.00765231	−	8.69063i	−0.000646739	−	0.734493i
$141$	−6.04509	−	4.39202i	−0.509089	−	0.369874i
$142$	17.1846	−	17.1846i	1.44210	−	1.44210i
$143$	3.67882	+	12.5726i	0.307638	+	1.05138i
$144$		−	4.99135i		−	0.415946i
$145$	−11.2900	+	5.76508i	−0.937585	+	0.478764i
$146$	−6.83808	+	21.0454i	−0.565923	+	1.74173i
$147$	−2.56258	+	5.02935i	−0.211358	+	0.414814i
$148$	1.02867	−	6.49476i	0.0845560	−	0.533866i
$149$	−12.4812	+	9.06813i	−1.02250	+	0.742890i	−0.966794	−	0.255557i	$-0.917741\pi$
$149$	−12.4812	+	9.06813i	−1.02250	+	0.742890i	−0.0557068	+	0.998447i	$0.517741\pi$
$150$	−7.12314	−	5.15612i	−0.581602	−	0.420995i
$151$	−18.2853	−	5.94127i	−1.48804	−	0.483493i	−0.551536	−	0.834151i	$-0.685958\pi$
$151$	−18.2853	−	5.94127i	−1.48804	−	0.483493i	−0.936504	+	0.350658i	$0.885958\pi$
$152$	−0.101737	−	0.642343i	−0.00825197	−	0.0521009i
$153$	−0.0372110	−	0.0372110i	−0.00300833	−	0.00300833i
$154$	−20.3814	−	3.84750i	−1.64238	−	0.310041i
$155$	7.35614	−	14.4687i	0.590860	−	1.16216i
$156$	2.53747	−	3.49253i	0.203160	−	0.279626i
$157$	2.72329	−	1.38759i	0.217342	−	0.110741i	−0.341930	−	0.939725i	$-0.611081\pi$
$157$	2.72329	−	1.38759i	0.217342	−	0.110741i	0.559272	+	0.828984i	$0.311081\pi$
$158$	12.3722	+	6.30394i	0.984278	+	0.501515i
$159$	5.09777	+	7.01647i	0.404279	+	0.556442i
$160$	10.1151	+	7.33546i	0.799670	+	0.579919i
$161$	−10.5394	+	3.42447i	−0.830623	+	0.269886i
$162$	−0.798428	−	1.56700i	−0.0627304	−	0.123115i
$163$	−3.86542	+	0.612223i	−0.302763	+	0.0479530i	−0.305968	−	0.952042i	$-0.598980\pi$
$163$	−3.86542	+	0.612223i	−0.302763	+	0.0479530i	0.00320445	+	0.999995i	$0.498980\pi$
$164$	−1.96857			−0.153719
$165$	−5.39196	+	5.09184i	−0.419763	+	0.396399i
$166$	−12.0675			−0.936622
$167$	−6.40474	+	1.01441i	−0.495614	+	0.0784975i	−0.399238	−	0.916848i	$-0.630725\pi$
$167$	−6.40474	+	1.01441i	−0.495614	+	0.0784975i	−0.0963760	+	0.995345i	$0.530725\pi$
$168$	−2.57515	−	5.05401i	−0.198677	−	0.389925i
$169$	−2.47313	+	0.803569i	−0.190241	+	0.0618130i
$170$	0.204371	−	0.0325537i	0.0156745	−	0.00249675i
$171$	−0.239642	−	0.329839i	−0.0183259	−	0.0252234i
$172$	2.48470	+	1.26602i	0.189456	+	0.0965329i
$173$	−16.8264	+	8.57348i	−1.27929	+	0.651830i	−0.955693	−	0.294366i	$-0.904892\pi$
$173$	−16.8264	+	8.57348i	−1.27929	+	0.651830i	−0.323595	+	0.946196i	$0.604892\pi$
$174$	5.86046	−	8.06623i	0.444280	−	0.611499i
$175$	−17.5656	−	2.75041i	−1.32783	−	0.207912i
$176$	12.0459	−	11.3554i	0.907997	−	0.855945i
$177$	10.4476	+	10.4476i	0.785290	+	0.785290i
$178$	3.30317	+	20.8554i	0.247583	+	1.56318i
$179$	−4.76520	−	1.54831i	−0.356168	−	0.115726i	0.125467	−	0.992098i	$-0.459957\pi$
$179$	−4.76520	−	1.54831i	−0.356168	−	0.115726i	−0.481635	+	0.876372i	$0.659957\pi$
$180$	2.41424	+	0.380199i	0.179947	+	0.0283383i
$181$	3.88155	−	2.82011i	0.288513	−	0.209617i	−0.434109	−	0.900860i	$-0.642937\pi$
$181$	3.88155	−	2.82011i	0.288513	−	0.209617i	0.722622	+	0.691243i	$0.242937\pi$
$182$	3.86404	−	24.3966i	0.286422	−	1.80839i
$183$	−6.40435	+	12.5692i	−0.473423	+	0.929145i
$184$	1.53619	−	4.72790i	0.113249	−	0.348545i
$185$	−12.7980	−	4.14588i	−0.940931	−	0.304811i
$186$			12.7661i			0.936057i
$187$	0.00514803	−	0.174459i	0.000376462	−	0.0127577i
$188$	−5.77491	+	5.77491i	−0.421178	+	0.421178i
$189$	−2.87680	−	2.09012i	−0.209256	−	0.152034i
$190$	1.60331	−	0.00141175i	0.116316	−	0.000102419i
$191$	2.37032	+	7.29509i	0.171510	+	0.527854i	0.999457	−	0.0329527i	$-0.0104911\pi$
$191$	2.37032	+	7.29509i	0.171510	+	0.527854i	−0.827947	+	0.560807i	$0.810491\pi$
$192$	0.153371	+	0.0242916i	0.0110686	+	0.00175309i
$193$	8.66115	+	1.37179i	0.623443	+	0.0987437i	0.460161	−	0.887836i	$-0.347792\pi$
$193$	8.66115	+	1.37179i	0.623443	+	0.0987437i	0.163283	+	0.986579i	$0.447792\pi$
$194$	−6.14054	−	18.8986i	−0.440865	−	1.35684i
$195$	−6.25058	−	6.23958i	−0.447613	−	0.446825i
$196$	4.99118	+	3.62630i	0.356513	+	0.259022i
$197$	4.77390	−	4.77390i	0.340126	−	0.340126i	−0.516289	−	0.856415i	$-0.672687\pi$
$197$	4.77390	−	4.77390i	0.340126	−	0.340126i	0.856415	+	0.516289i	$0.172687\pi$
$198$	1.96531	−	5.49185i	0.139668	−	0.390289i
$199$		−	8.12813i		−	0.576188i	−0.957602	−	0.288094i	$-0.906978\pi$
$199$		−	8.12813i		−	0.576188i	0.957602	−	0.288094i	$-0.0930215\pi$
$200$	5.62978	−	5.64965i	0.398086	−	0.399490i
$201$	1.81537	−	5.58713i	0.128046	−	0.394086i
$202$	−1.27911	+	2.51040i	−0.0899982	+	0.176631i
$203$	3.15361	−	19.9111i	0.221340	−	1.39749i
$204$	−0.0465327	+	0.0338080i	−0.00325794	+	0.00236703i
$205$	−0.626515	+	3.97833i	−0.0437577	+	0.277859i
$206$	−20.2182	−	6.56928i	−1.40867	−	0.457703i
$207$	−0.487518	−	3.07807i	−0.0338849	−	0.213941i
$208$	13.9403	+	13.9403i	0.966584	+	0.966584i
$209$	0.250831	−	1.32873i	0.0173504	−	0.0919102i
$210$	13.2956	−	4.33295i	0.917483	−	0.299002i
$211$	−9.92125	+	13.6554i	−0.683007	+	0.940079i	−0.999965	−	0.00836098i	$-0.997339\pi$
$211$	−9.92125	+	13.6554i	−0.683007	+	0.940079i	0.316958	+	0.948440i	$0.397339\pi$
$212$	8.44611	−	4.30351i	0.580081	−	0.295566i
$213$	12.3125	+	6.27355i	0.843641	+	0.429857i
$214$	3.47657	+	4.78508i	0.237653	+	0.327102i
$215$	3.34931	−	4.61847i	0.228421	−	0.314977i
$216$	1.51708	−	0.492930i	0.103224	−	0.0335396i
$217$	11.7184	+	22.9987i	0.795497	+	1.56125i
$218$	−18.5527	+	2.93845i	−1.25654	+	0.199017i
$219$	−12.5824			−0.850238
$220$	4.57487	+	6.69138i	0.308437	+	0.451133i
$221$	0.207852			0.0139816
$222$	10.4505	−	1.65520i	0.701392	−	0.111090i
$223$	6.53746	+	12.8305i	0.437780	+	0.859193i	0.999492	+	0.0318596i	$0.0101429\pi$
$223$	6.53746	+	12.8305i	0.437780	+	0.859193i	−0.561712	+	0.827333i	$0.689857\pi$
$224$	−18.8977	+	6.14024i	−1.26266	+	0.410262i
$225$	1.53671	−	4.75800i	0.102447	−	0.317200i
$226$	−7.52709	−	10.3602i	−0.500695	−	0.689147i
$227$	20.0967	+	10.2398i	1.33386	+	0.679638i	0.967981	−	0.251023i	$-0.0807670\pi$
$227$	20.0967	+	10.2398i	1.33386	+	0.679638i	0.365883	+	0.930661i	$0.380767\pi$
$228$	−0.397045	+	0.202304i	−0.0262949	+	0.0133979i
$229$	−0.482250	+	0.663760i	−0.0318680	+	0.0438625i	−0.824654	−	0.565638i	$-0.808630\pi$
$229$	−0.482250	+	0.663760i	−0.0318680	+	0.0438625i	0.792786	+	0.609500i	$0.208630\pi$
$230$	10.9247	+	5.55428i	0.720351	+	0.366239i
$231$	−1.50055	−	11.6978i	−0.0987291	−	0.769659i
$232$	6.39458	+	6.39458i	0.419825	+	0.419825i
$233$	−1.63336	−	10.3126i	−0.107005	−	0.675602i	−0.981629	−	0.190800i	$-0.938892\pi$
$233$	−1.63336	−	10.3126i	−0.107005	−	0.675602i	0.874624	−	0.484802i	$-0.161108\pi$
$234$	6.60637	+	2.14654i	0.431872	+	0.140324i
$235$	9.83275	+	13.5086i	0.641418	+	0.881203i
$236$	13.0648	−	9.49216i	0.850449	−	0.617887i
$237$	−1.23512	+	7.79824i	−0.0802296	+	0.506550i
$238$	−0.149408	+	0.293230i	−0.00968468	+	0.0190073i
$239$	−5.27032	+	16.2204i	−0.340909	+	1.04921i	0.622829	+	0.782358i	$0.285983\pi$
$239$	−5.27032	+	16.2204i	−0.340909	+	1.04921i	−0.963738	+	0.266851i	$0.914017\pi$
$240$	−3.43959	+	10.6178i	−0.222025	+	0.685375i
$241$		−	7.27508i		−	0.468629i	−0.972161	−	0.234315i	$-0.924715\pi$
$241$		−	7.27508i		−	0.468629i	0.972161	−	0.234315i	$-0.0752846\pi$
$242$	17.7249	−	7.75103i	1.13940	−	0.498255i
$243$	0.707107	−	0.707107i	0.0453609	−	0.0453609i
$244$	12.4738	+	9.06278i	0.798556	+	0.580185i
$245$	8.91698	−	8.93270i	0.569685	−	0.570689i
$246$	−0.978829	−	3.01253i	−0.0624079	−	0.192072i
$247$	1.59049	+	0.251909i	0.101201	+	0.0160286i
$248$	−11.4365	−	1.81136i	−0.726218	−	0.115022i
$249$	−2.12037	−	6.52583i	−0.134373	−	0.413558i
$250$	11.5994	+	15.8769i	0.733613	+	1.00414i
$251$	21.5347	+	15.6459i	1.35926	+	0.987560i	0.998492	+	0.0549040i	$0.0174853\pi$
$251$	21.5347	+	15.6459i	1.35926	+	0.987560i	0.360768	+	0.932656i	$0.382515\pi$
$252$	−2.74822	+	2.74822i	−0.173122	+	0.173122i
$253$	6.31938	−	8.17921i	0.397296	−	0.514223i
$254$		−	12.0936i		−	0.758820i
$255$	0.0535140	+	0.104799i	0.00335118	+	0.00656277i
$256$	6.12613	−	18.8543i	0.382883	−	1.17839i
$257$	8.73628	−	17.1459i	0.544954	−	1.06953i	−0.440206	−	0.897897i	$-0.645095\pi$
$257$	8.73628	−	17.1459i	0.544954	−	1.06953i	0.985160	−	0.171636i	$-0.0549054\pi$
$258$	−0.701939	+	4.43187i	−0.0437008	+	0.275916i
$259$	17.3076	−	12.5747i	1.07544	−	0.781356i
$260$	−7.80454	+	5.68083i	−0.484017	+	0.352310i
$261$	5.39176	+	1.75189i	0.333741	+	0.108439i
$262$	−0.848011	−	5.35413i	−0.0523903	−	0.330779i
$263$	6.53116	+	6.53116i	0.402729	+	0.402729i	0.879193	−	0.476465i	$-0.158082\pi$
$263$	6.53116	+	6.53116i	0.402729	+	0.402729i	−0.476465	+	0.879193i	$0.658082\pi$
$264$	4.64100	+	2.53985i	0.285634	+	0.156317i
$265$	−6.00902	−	18.4386i	−0.369131	−	1.13267i
$266$	−1.49866	+	2.06273i	−0.0918889	+	0.126474i
$267$	−10.6977	+	5.45076i	−0.654690	+	0.333581i
$268$	−5.72108	−	2.91504i	−0.349471	−	0.178064i
$269$	6.19038	+	8.52033i	0.377434	+	0.519493i	0.954902	−	0.296920i	$-0.0959593\pi$
$269$	6.19038	+	8.52033i	0.377434	+	0.519493i	−0.577468	+	0.816413i	$0.695959\pi$
$270$	0.618606	+	3.88359i	0.0376472	+	0.236348i
$271$	7.50009	−	2.43693i	0.455598	−	0.148033i	−0.0722228	−	0.997389i	$-0.523009\pi$
$271$	7.50009	−	2.43693i	0.455598	−	0.148033i	0.527821	+	0.849356i	$0.323009\pi$
$272$	−0.119248	−	0.234037i	−0.00723048	−	0.0141906i
$273$	13.8720	−	2.19711i	0.839573	−	0.132975i
$274$	−15.7189			−0.949614
$275$	14.9788	−	7.11588i	0.903255	−	0.429103i
$276$	−3.40622			−0.205031
$277$	−20.5183	+	3.24977i	−1.23282	+	0.195260i	−0.738641	−	0.674099i	$-0.764532\pi$
$277$	−20.5183	+	3.24977i	−1.23282	+	0.195260i	−0.494182	+	0.869359i	$0.664532\pi$
$278$	−6.50643	−	12.7696i	−0.390230	−	0.765869i
$279$	−6.90361	+	2.24312i	−0.413308	+	0.134292i
$280$	1.99517	+	12.5256i	0.119234	+	0.748549i
$281$	−13.2268	−	18.2051i	−0.789043	−	1.08603i	−0.994227	−	0.107301i	$-0.965779\pi$
$281$	−13.2268	−	18.2051i	−0.789043	−	1.08603i	0.205183	−	0.978724i	$-0.434221\pi$
$282$	−11.7089	−	5.96597i	−0.697253	−	0.355268i
$283$	−1.31333	+	0.669175i	−0.0780693	+	0.0397783i	−0.492589	−	0.870262i	$-0.663950\pi$
$283$	−1.31333	+	0.669175i	−0.0780693	+	0.0397783i	0.414520	+	0.910040i	$0.363950\pi$
$284$	8.87769	−	12.2191i	0.526794	−	0.725070i
$285$	0.282479	+	0.866784i	0.0167326	+	0.0513439i
$286$	9.84922	+	20.8270i	0.582396	+	1.23153i
$287$	−4.52869	−	4.52869i	−0.267320	−	0.267320i
$288$	−0.874144	−	5.51913i	−0.0515095	−	0.325218i
$289$	16.1653	+	5.25243i	0.950902	+	0.308967i
$290$	−18.0251	+	13.1203i	−1.05847	+	0.770448i
$291$	9.14099	−	6.64132i	0.535854	−	0.389321i
$292$	−2.15134	+	13.5830i	−0.125898	+	0.794888i
$293$	−9.05904	+	17.7794i	−0.529234	+	1.03868i	0.459384	+	0.888238i	$0.348070\pi$
$293$	−9.05904	+	17.7794i	−0.529234	+	1.03868i	−0.988619	+	0.150443i	$0.951930\pi$
$294$	−3.06762	+	9.44118i	−0.178907	+	0.550621i
$295$	−15.0250	−	29.4241i	−0.874787	−	1.71313i
$296$			9.59691i			0.557809i
$297$	3.31518	+	0.0978262i	0.192366	+	0.00567645i
$298$	−19.1855	+	19.1855i	−1.11139	+	1.11139i
$299$	9.95828	+	7.23511i	0.575902	+	0.418417i
$300$	−4.87365	−	2.47245i	−0.281380	−	0.142747i
$301$	2.80358	+	8.62852i	0.161596	+	0.497340i
$302$	−33.3969	−	5.28954i	−1.92177	−	0.304379i
$303$	−1.58232	−	0.250615i	−0.0909018	−	0.0143974i
$304$	−0.628847	−	1.93539i	−0.0360668	−	0.111002i
$305$	22.2851	−	22.3244i	1.27604	−	1.27829i
$306$	−0.0748743	−	0.0543994i	−0.00428028	−	0.00310980i
$307$	23.4339	−	23.4339i	1.33744	−	1.33744i	0.438914	−	0.898529i	$-0.355363\pi$
$307$	23.4339	−	23.4339i	1.33744	−	1.33744i	0.898529	−	0.438914i	$-0.144637\pi$
$308$	−12.8847	−	0.380209i	−0.734173	−	0.0216644i
$309$		−	12.0878i		−	0.687649i
$310$	8.79726	−	27.1565i	0.499651	−	1.54239i
$311$	−3.51097	+	10.8056i	−0.199089	+	0.612732i	0.800816	+	0.598911i	$0.204400\pi$
$311$	−3.51097	+	10.8056i	−0.199089	+	0.612732i	−0.999904	+	0.0138213i	$0.995600\pi$
$312$	−2.86034	+	5.61373i	−0.161935	+	0.317815i
$313$	3.27788	−	20.6957i	0.185277	−	1.16979i	−0.703242	−	0.710951i	$-0.748265\pi$
$313$	3.27788	−	20.6957i	0.185277	−	1.16979i	0.888518	−	0.458841i	$-0.151735\pi$
$314$	4.34871	−	3.15952i	0.245412	−	0.178302i
$315$	4.67931	+	6.42860i	0.263649	+	0.362211i
$316$	8.20725	+	2.66670i	0.461694	+	0.150013i
$317$	−0.202893	−	1.28102i	−0.0113956	−	0.0719491i	0.981335	−	0.192305i	$-0.0615964\pi$
$317$	−0.202893	−	1.28102i	−0.0113956	−	0.0719491i	−0.992731	+	0.120356i	$0.961596\pi$
$318$	10.7854	+	10.7854i	0.604814	+	0.604814i
$319$	8.03838	+	16.9978i	0.450063	+	0.951696i
$320$	−0.309517	−	0.157363i	−0.0173025	−	0.00879688i
$321$	−1.97679	+	2.72082i	−0.110334	+	0.151862i
$322$	−17.3652	+	8.84803i	−0.967726	+	0.493081i
$323$	−0.0191166	−	0.00974041i	−0.00106368	−	0.000541971i
$324$	−0.642441	−	0.884244i	−0.0356912	−	0.0491247i
$325$	8.99668	+	17.5804i	0.499046	+	0.975184i
$326$	−6.54595	+	2.12691i	−0.362546	+	0.117798i
$327$	−4.84891	−	9.51652i	−0.268145	−	0.526265i
$328$	2.83765	−	0.449439i	0.156683	−	0.0248161i
$329$	−26.5703			−1.46487
$330$	−7.96516	+	10.3281i	−0.438468	+	0.568545i
$331$	−9.92595			−0.545580			−0.272790	−	0.962074i	$-0.587946\pi$
$331$	−9.92595			−0.545580			−0.272790	+	0.962074i	$0.587946\pi$
$332$	−7.40737	+	1.17321i	−0.406532	+	0.0643884i
$333$	2.73134	+	5.36055i	0.149676	+	0.293756i
$334$	−10.8462	+	3.52414i	−0.593477	+	0.192832i
$335$	−7.71187	+	10.6342i	−0.421344	+	0.581006i
$336$	−10.4325	−	14.3591i	−0.569140	−	0.783355i
$337$	−18.3108	−	9.32981i	−0.997452	−	0.508227i	−0.122516	−	0.992467i	$-0.539096\pi$
$337$	−18.3108	−	9.32981i	−0.997452	−	0.508227i	−0.874936	+	0.484239i	$0.839096\pi$
$338$	−4.07484	+	2.07623i	−0.221642	+	0.112932i
$339$	4.27995	−	5.89084i	0.232455	−	0.319946i
$340$	0.122283	−	0.0398514i	0.00663175	−	0.00216124i
$341$	−21.1193	−	11.5578i	−1.14367	−	0.625888i
$342$	−0.507012	−	0.507012i	−0.0274161	−	0.0274161i
$343$	−0.753984	−	4.76047i	−0.0407113	−	0.257041i
$344$	−3.87068	−	1.25766i	−0.208693	−	0.0678085i
$345$	−1.08406	+	6.88373i	−0.0583640	+	0.370608i
$346$	−26.8693	+	19.5217i	−1.44451	+	1.04949i
$347$	−2.03077	+	12.8218i	−0.109018	+	0.688310i	0.871280	+	0.490785i	$0.163290\pi$
$347$	−2.03077	+	12.8218i	−0.109018	+	0.688310i	−0.980298	+	0.197524i	$0.936710\pi$
$348$	2.81310	−	5.52102i	0.150798	−	0.295958i
$349$	−6.88757	+	21.1977i	−0.368683	+	1.13469i	0.578960	+	0.815356i	$0.303459\pi$
$349$	−6.88757	+	21.1977i	−0.368683	+	1.13469i	−0.947643	+	0.319333i	$0.896541\pi$
$350$	−31.2687	+	0.0550658i	−1.67138	+	0.00294339i
$351$			3.94973i			0.210821i
$352$	11.3310	−	14.6657i	0.603942	−	0.781686i
$353$	2.48610	−	2.48610i	0.132322	−	0.132322i	−0.637844	−	0.770166i	$-0.720174\pi$
$353$	2.48610	−	2.48610i	0.132322	−	0.132322i	0.770166	+	0.637844i	$0.220174\pi$
$354$	21.0222	+	15.2735i	1.11732	+	0.811779i
$355$	−21.8685	−	21.8300i	−1.16066	−	1.15862i
$356$	4.05515	+	12.4805i	0.214923	+	0.661464i
$357$	−0.184824	−	0.0292732i	−0.00978192	−	0.00154930i
$358$	−8.70330	−	1.37847i	−0.459984	−	0.0728543i
$359$	0.396744	+	1.22105i	0.0209394	+	0.0644448i	0.960980	−	0.276617i	$-0.0892134\pi$
$359$	0.396744	+	1.22105i	0.0209394	+	0.0644448i	−0.940041	+	0.341062i	$0.889213\pi$
$360$	−3.56687	+	0.00314072i	−0.187991	+	0.000165530i
$361$	15.2368	+	11.0702i	0.801939	+	0.582643i
$362$	5.96653	−	5.96653i	0.313594	−	0.313594i
$363$	7.30599	+	8.22329i	0.383465	+	0.431611i
$364$		−	15.3509i		−	0.804607i
$365$	26.7657	+	8.67064i	1.40098	+	0.453842i
$366$	−7.66654	+	23.5952i	−0.400737	+	1.23334i
$367$	−6.12158	+	12.0143i	−0.319544	+	0.627140i	−0.993778	−	0.111377i	$-0.964474\pi$
$367$	−6.12158	+	12.0143i	−0.319544	+	0.627140i	0.674234	+	0.738517i	$0.264474\pi$
$368$	2.43338	−	15.3637i	0.126849	−	0.800890i
$369$	1.45711	−	1.05865i	0.0758543	−	0.0551114i
$370$	−23.3713	−	3.68056i	−1.21502	−	0.191343i
$371$	29.3305	+	9.53006i	1.52276	+	0.494776i
$372$	1.24113	+	7.83618i	0.0643495	+	0.406287i
$373$	−22.0374	−	22.0374i	−1.14106	−	1.14106i	−0.988258	−	0.152798i	$-0.951172\pi$
$373$	−22.0374	−	22.0374i	−1.14106	−	1.14106i	−0.152798	−	0.988258i	$-0.548828\pi$
$374$	−0.0390548	−	0.304458i	−0.00201947	−	0.0157432i
$375$	−6.54772	+	9.06241i	−0.338123	+	0.467981i
$376$	7.00595	−	9.64286i	0.361304	−	0.497292i
$377$	−19.9514	+	10.1657i	−1.02755	+	0.523562i
$378$	−5.57214	−	2.83915i	−0.286600	−	0.146030i
$379$	−20.3181	−	27.9655i	−1.04367	−	1.43649i	−0.894169	−	0.447730i	$-0.852233\pi$
$379$	−20.3181	−	27.9655i	−1.04367	−	1.43649i	−0.149503	−	0.988761i	$-0.547767\pi$
$380$	0.984018	−	0.156741i	0.0504790	−	0.00804066i
$381$	6.53993	−	2.12495i	0.335051	−	0.108865i
$382$	6.12435	+	12.0197i	0.313349	+	0.614982i
$383$	21.0798	−	3.33872i	1.07713	−	0.170601i	0.407433	−	0.913235i	$-0.366424\pi$
$383$	21.0798	−	3.33872i	1.07713	−	0.170601i	0.669697	+	0.742635i	$0.266424\pi$
$384$	11.4489			0.584252
$385$	−4.86905	+	25.9180i	−0.248150	+	1.32090i
$386$	15.4221			0.784966
$387$	−2.51999	+	0.399127i	−0.128098	+	0.0202887i
$388$	−5.60656	−	11.0035i	−0.284630	−	0.558618i
$389$	24.7114	−	8.02921i	1.25292	−	0.407097i	0.393951	−	0.919132i	$-0.371108\pi$
$389$	24.7114	−	8.02921i	1.25292	−	0.407097i	0.858965	+	0.512035i	$0.171108\pi$
$390$	−12.5741	−	9.11872i	−0.636715	−	0.461744i
$391$	−0.0963970	−	0.132679i	−0.00487501	−	0.00670987i
$392$	−8.02259	−	4.08771i	−0.405202	−	0.206461i
$393$	2.74638	−	1.39935i	0.138537	−	0.0705879i
$394$	6.97904	−	9.60583i	0.351599	−	0.483935i
$395$	8.00123	−	15.7375i	0.402586	−	0.791842i
$396$	0.672438	−	3.56211i	0.0337913	−	0.179003i
$397$	−2.47951	−	2.47951i	−0.124443	−	0.124443i	0.642142	−	0.766585i	$-0.278046\pi$
$397$	−2.47951	−	2.47951i	−0.124443	−	0.124443i	−0.766585	+	0.642142i	$0.778046\pi$
$398$	−2.23621	−	14.1189i	−0.112091	−	0.707714i
$399$	−1.37880	−	0.448000i	−0.0690265	−	0.0224281i
$400$	14.6336	−	20.2163i	0.731682	−	1.01081i
$401$	−12.4569	+	9.05044i	−0.622066	+	0.451957i	−0.853642	−	0.520859i	$-0.825612\pi$
$401$	−12.4569	+	9.05044i	−0.622066	+	0.451957i	0.231577	+	0.972817i	$0.425612\pi$
$402$	1.61623	−	10.2045i	0.0806104	−	0.508954i
$403$	13.0162	−	25.5457i	0.648383	−	1.27252i
$404$	−0.541092	+	1.66531i	−0.0269203	+	0.0828522i
$405$	−1.99146	+	1.01691i	−0.0989563	+	0.0505305i
$406$		−	35.4540i		−	1.75955i
$407$	−6.72311	+	18.7870i	−0.333252	+	0.931238i
$408$	0.0593573	−	0.0593573i	0.00293862	−	0.00293862i
$409$	17.7536	+	12.8987i	0.877857	+	0.637801i	0.932684	−	0.360695i	$-0.117461\pi$
$409$	17.7536	+	12.8987i	0.877857	+	0.637801i	−0.0548263	+	0.998496i	$0.517461\pi$
$410$	0.00623664	+	7.08287i	0.000308006	+	0.349798i
$411$	−2.76195	−	8.50040i	−0.136237	−	0.419294i
$412$	−13.0491	−	2.06678i	−0.642883	−	0.101823i
$413$	51.8924	+	8.21895i	2.55346	+	0.404428i
$414$	−1.69367	−	5.21259i	−0.0832396	−	0.256185i
$415$	0.0135100	+	15.3431i	0.000663180	+	0.753165i
$416$	17.8557	+	12.9729i	0.875447	+	0.636049i
$417$	5.76225	−	5.76225i	0.282178	−	0.282178i
$418$	0.0701436	−	2.37706i	0.00343084	−	0.116266i
$419$		−	6.86537i		−	0.335395i	−0.985838	−	0.167698i	$-0.946367\pi$
$419$		−	6.86537i		−	0.335395i	0.985838	−	0.167698i	$-0.0536332\pi$
$420$	7.73994	−	3.95228i	0.377670	−	0.192852i
$421$	6.37539	−	19.6214i	0.310717	−	0.956290i	−0.666764	−	0.745269i	$-0.732321\pi$
$421$	6.37539	−	19.6214i	0.310717	−	0.956290i	0.977482	−	0.211021i	$-0.0676789\pi$
$422$	−13.4767	+	26.4495i	−0.656035	+	1.28754i
$423$	1.16890	−	7.38015i	0.0568339	−	0.358835i
$424$	−11.1924	+	8.13173i	−0.543549	+	0.394912i
$425$	−0.0416189	−	0.259809i	−0.00201881	−	0.0126026i
$426$	23.1133	+	7.50997i	1.11984	+	0.363859i
$427$	7.84716	+	49.5450i	0.379751	+	2.39765i
$428$	2.59922	+	2.59922i	0.125638	+	0.125638i
$429$	−9.53214	+	8.98570i	−0.460216	+	0.433834i
$430$	4.54724	−	8.94392i	0.219287	−	0.431314i
$431$	−1.34430	+	1.85027i	−0.0647527	+	0.0891245i	−0.840165	−	0.542331i	$-0.817542\pi$
$431$	−1.34430	+	1.85027i	−0.0647527	+	0.0891245i	0.775412	+	0.631455i	$0.217542\pi$
$432$	4.44733	−	2.26603i	0.213972	−	0.109024i
$433$	−6.43099	−	3.27675i	−0.309054	−	0.157471i	0.292584	−	0.956240i	$-0.405485\pi$
$433$	−6.43099	−	3.27675i	−0.309054	−	0.157471i	−0.601638	+	0.798769i	$0.705485\pi$
$434$	26.6827	+	36.7256i	1.28081	+	1.76288i
$435$	−10.2623	−	7.44219i	−0.492039	−	0.356826i
$436$	−11.1024	+	3.60740i	−0.531710	+	0.172763i
$437$	−0.576832	−	1.13210i	−0.0275936	−	0.0541555i
$438$	−21.8560	+	3.46166i	−1.04432	+	0.165404i
$439$	35.1730			1.67872			0.839358	−	0.543579i	$-0.182931\pi$
$439$	35.1730			1.67872			0.839358	+	0.543579i	$0.182931\pi$
$440$	−8.12227	−	8.60101i	−0.387214	−	0.410037i
$441$	−5.64457			−0.268789
$442$	0.361046	−	0.0571841i	0.0171732	−	0.00271997i
$443$	0.176103	+	0.345621i	0.00836689	+	0.0164209i	0.895152	−	0.445761i	$-0.147067\pi$
$443$	0.176103	+	0.345621i	0.00836689	+	0.0164209i	−0.886785	+	0.462182i	$0.847067\pi$
$444$	6.25388	−	2.03201i	0.296796	−	0.0964348i
$445$	26.5127	−	4.22314i	1.25682	−	0.200196i
$446$	14.8857	+	20.4884i	0.704859	+	0.970155i
$447$	−13.7461	−	7.00400i	−0.650169	−	0.331278i
$448$	0.491990	−	0.250681i	0.0232443	−	0.0118436i
$449$	−0.761291	+	1.04783i	−0.0359276	+	0.0494500i	−0.826603	−	0.562786i	$-0.809730\pi$
$449$	−0.761291	+	1.04783i	−0.0359276	+	0.0494500i	0.790675	+	0.612236i	$0.209730\pi$
$450$	1.36030	−	8.68759i	0.0641252	−	0.409537i
$451$	5.86987	+	1.10809i	0.276401	+	0.0521777i
$452$	−5.62755	−	5.62755i	−0.264698	−	0.264698i
$453$	−3.00766	−	18.9896i	−0.141312	−	0.892211i
$454$	37.7258	+	12.2579i	1.77056	+	0.575290i
$455$	−31.0231	−	4.88558i	−1.45439	−	0.229039i
$456$	0.526144	−	0.382266i	0.0246390	−	0.0179012i
$457$	0.925694	−	5.84460i	0.0433021	−	0.273399i	−0.956532	−	0.291628i	$-0.905803\pi$
$457$	0.925694	−	5.84460i	0.0433021	−	0.273399i	0.999834	+	0.0182295i	$0.00580296\pi$
$458$	−0.655072	+	1.28565i	−0.0306095	+	0.0600746i
$459$	0.0162618	−	0.0500487i	0.000759036	−	0.00233607i
$460$	7.24584	+	2.34726i	0.337839	+	0.109442i
$461$		−	0.362371i		−	0.0168773i	−0.999964	−	0.00843866i	$-0.997314\pi$
$461$		−	0.362371i		−	0.0168773i	0.999964	−	0.00843866i	$-0.00268614\pi$
$462$	−5.82481	−	19.9067i	−0.270995	−	0.926143i
$463$	−21.3056	+	21.3056i	−0.990155	+	0.990155i	−0.999952	−	0.00979684i	$-0.996882\pi$
$463$	−21.3056	+	21.3056i	−0.990155	+	0.990155i	0.00979684	+	0.999952i	$0.496882\pi$
$464$	22.8929	+	16.6326i	1.06277	+	0.772151i
$465$	16.2313	−	0.0142921i	0.752711	−	0.000662780i
$466$	−5.67440	−	17.4640i	−0.262862	−	0.809005i
$467$	−28.6186	−	4.53274i	−1.32431	−	0.209750i	−0.546083	−	0.837731i	$-0.683882\pi$
$467$	−28.6186	−	4.53274i	−1.32431	−	0.209750i	−0.778229	+	0.627981i	$0.783882\pi$
$468$	4.26386	+	0.675328i	0.197097	+	0.0312171i
$469$	−6.45531	−	19.8674i	−0.298078	−	0.917391i
$470$	20.7963	+	20.7597i	0.959262	+	0.957574i
$471$	2.47270	+	1.79652i	0.113936	+	0.0827793i
$472$	−16.6656	+	16.6656i	−0.767094	+	0.767094i
$473$	−6.69624	−	5.17362i	−0.307893	−	0.237883i
$474$			13.8856i			0.637788i
$475$	−0.00358992	−	2.03851i	−0.000164717	−	0.0935334i
$476$	−0.0632026	+	0.194518i	−0.00289689	+	0.00891570i
$477$	−3.93739	+	7.72755i	−0.180280	+	0.353820i
$478$	−4.69219	+	29.6254i	−0.214616	+	1.35503i
$479$	−6.77857	+	4.92492i	−0.309721	+	0.225025i	−0.731777	−	0.681544i	$-0.761309\pi$
$479$	−6.77857	+	4.92492i	−0.309721	+	0.225025i	0.422056	+	0.906570i	$0.361309\pi$
$480$	−1.94378	+	12.3429i	−0.0887210	+	0.563372i
$481$	−22.5997	−	7.34309i	−1.03046	−	0.334816i
$482$	−2.00152	−	12.6371i	−0.0911666	−	0.575603i
$483$	−7.83602	−	7.83602i	−0.356551	−	0.356551i
$484$	10.1265	−	6.48101i	0.460294	−	0.294592i
$485$	−24.0216	+	7.82849i	−1.09077	+	0.355473i
$486$	1.03373	−	1.42281i	0.0468910	−	0.0645399i
$487$	−9.80268	+	4.99472i	−0.444202	+	0.226332i	−0.661761	−	0.749715i	$-0.730191\pi$
$487$	−9.80268	+	4.99472i	−0.444202	+	0.226332i	0.217559	+	0.976047i	$0.430191\pi$
$488$	−20.0499	−	10.2159i	−0.907616	−	0.462453i
$489$	−2.30036	−	3.16617i	−0.104026	−	0.143179i
$490$	13.0316	−	17.9697i	0.588706	−	0.811787i
$491$	−1.54676	+	0.502574i	−0.0698045	+	0.0226809i	−0.343711	−	0.939075i	$-0.611684\pi$
$491$	−1.54676	+	0.502574i	−0.0698045	+	0.0226809i	0.273907	+	0.961756i	$0.411684\pi$
$492$	−0.893711	−	1.75401i	−0.0402916	−	0.0790767i
$493$	0.294666	−	0.0466705i	0.0132711	−	0.00210193i
$494$	2.83205			0.127420
$495$	−6.98476	−	2.49262i	−0.313941	−	0.112035i
$496$	−36.2316			−1.62685
$497$	48.5332	−	7.68690i	2.17701	−	0.344804i
$498$	−5.47855	−	10.7523i	−0.245500	−	0.481820i
$499$	−7.79008	+	2.53115i	−0.348732	+	0.113310i	−0.478145	−	0.878281i	$-0.658691\pi$
$499$	−7.79008	+	2.53115i	−0.348732	+	0.113310i	0.129413	+	0.991591i	$0.458691\pi$
$500$	8.66361	+	8.61796i	0.387448	+	0.385407i
$501$	−3.81154	−	5.24613i	−0.170287	−	0.234380i
$502$	41.7111	+	21.2529i	1.86166	+	0.948561i
$503$	−9.59564	+	4.88922i	−0.427848	+	0.218000i	−0.654635	−	0.755945i	$-0.727178\pi$
$503$	−9.59564	+	4.88922i	−0.427848	+	0.218000i	0.226787	+	0.973944i	$0.427178\pi$
$504$	3.33406	−	4.58894i	0.148511	−	0.204408i
$505$	3.19326	+	1.62351i	0.142098	+	0.0722451i
$506$	8.72674	−	15.9462i	0.387951	−	0.708894i
$507$	−1.83876	−	1.83876i	−0.0816623	−	0.0816623i
$508$	−1.17575	−	7.42337i	−0.0521653	−	0.329359i
$509$	14.7872	+	4.80466i	0.655433	+	0.212963i	0.617808	−	0.786329i	$-0.288021\pi$
$509$	14.7872	+	4.80466i	0.655433	+	0.212963i	0.0376245	+	0.999292i	$0.488021\pi$
$510$	0.121788	+	0.167317i	0.00539287	+	0.00740892i
$511$	−36.1970	+	26.2986i	−1.60126	+	1.16338i
$512$	1.87211	−	11.8200i	0.0827362	−	0.522376i
$513$	0.185093	−	0.363266i	0.00817207	−	0.0160386i
$514$	10.4581	−	32.1866i	0.461285	−	1.41969i
$515$	−8.32980	+	25.7135i	−0.367055	+	1.13307i
$516$			2.78864i			0.122763i
$517$	20.4702	−	13.9690i	0.900280	−	0.614354i
$518$	26.6045	−	26.6045i	1.16893	−	1.16893i
$519$	−15.2781	−	11.1002i	−0.670632	−	0.487243i
$520$	9.95309	−	9.97064i	0.436472	−	0.437241i
$521$	−2.90883	−	8.95246i	−0.127438	−	0.392214i	0.866899	−	0.498483i	$-0.166110\pi$
$521$	−2.90883	−	8.95246i	−0.127438	−	0.392214i	−0.994337	+	0.106269i	$0.966110\pi$
$522$	9.84766	+	1.55972i	0.431020	+	0.0682669i
$523$	−7.35516	−	1.16494i	−0.321619	−	0.0509394i	−0.00646219	−	0.999979i	$-0.502057\pi$
$523$	−7.35516	−	1.16494i	−0.321619	−	0.0509394i	−0.315156	+	0.949040i	$0.602057\pi$
$524$	−1.04106	−	3.20406i	−0.0454790	−	0.139970i
$525$	−5.52397	−	16.8997i	−0.241086	−	0.737564i
$526$	13.1417	+	9.54801i	0.573006	+	0.416313i
$527$	−0.270110	+	0.270110i	−0.0117662	+	0.0117662i
$528$	15.5865	+	5.57777i	0.678314	+	0.242741i
$529$			13.2878i			0.577731i
$530$	−15.5107	−	30.3753i	−0.673742	−	1.31942i
$531$	−4.56577	+	14.0520i	−0.198138	+	0.609805i
$532$	−0.719379	+	1.41186i	−0.0311890	+	0.0612119i
$533$	−1.11285	+	7.02625i	−0.0482028	+	0.304341i
$534$	−17.0827	+	12.4113i	−0.739241	+	0.537090i
$535$	6.08005	−	4.42560i	0.262864	−	0.191335i
$536$	8.91234	+	2.89580i	0.384955	+	0.125079i
$537$	−0.783804	−	4.94874i	−0.0338236	−	0.213554i
$538$	13.0970	+	13.0970i	0.564653	+	0.564653i
$539$	−12.8415	−	13.6224i	−0.553121	−	0.586758i
$540$	0.757281	+	2.32371i	0.0325882	+	0.0999965i
$541$	15.3203	−	21.0866i	0.658673	−	0.906585i	−0.340764	−	0.940149i	$-0.610686\pi$
$541$	15.3203	−	21.0866i	0.658673	−	0.906585i	0.999437	+	0.0335635i	$0.0106856\pi$
$542$	12.3575	−	6.29645i	0.530799	−	0.270456i
$543$	4.27493	+	2.17818i	0.183455	+	0.0934748i
$544$	−0.172845	−	0.237900i	−0.00741065	−	0.0101999i
$545$	3.75683	+	23.5853i	0.160925	+	1.01028i
$546$	23.4917	−	7.63293i	1.00535	−	0.326659i
$547$	2.30402	+	4.52190i	0.0985129	+	0.193342i	0.935003	−	0.354639i	$-0.115396\pi$
$547$	2.30402	+	4.52190i	0.0985129	+	0.193342i	−0.836490	+	0.547982i	$0.815396\pi$
$548$	−9.64868	+	1.52820i	−0.412171	+	0.0652815i
$549$	−14.1068			−0.602063
$550$	24.0610	−	16.4815i	1.02596	−	0.702773i
$551$	2.31136			0.0984674
$552$	4.91000	−	0.777668i	0.208983	−	0.0330997i
$553$	12.7460	+	25.0155i	0.542017	+	1.06377i
$554$	−34.7469	+	11.2900i	−1.47625	+	0.479664i
$555$	−2.11618	−	13.2853i	−0.0898270	−	0.563931i
$556$	−5.23528	−	7.20575i	−0.222025	−	0.305592i
$557$	−18.7607	−	9.55905i	−0.794916	−	0.405030i	0.00886077	−	0.999961i	$-0.497179\pi$
$557$	−18.7607	−	9.55905i	−0.794916	−	0.405030i	−0.803777	+	0.594931i	$0.797179\pi$
$558$	−11.3747	+	5.79569i	−0.481529	+	0.245351i
$559$	5.92331	−	8.15274i	0.250529	−	0.344824i
$560$	12.2974	+	37.7344i	0.519659	+	1.59457i
$561$	0.157781	−	0.0746158i	0.00666153	−	0.00315028i
$562$	−27.9840	−	27.9840i	−1.18043	−	1.18043i
$563$	1.37065	+	8.65393i	0.0577659	+	0.364720i	0.999591	+	0.0286148i	$0.00910962\pi$
$563$	1.37065	+	8.65393i	0.0577659	+	0.364720i	−0.941825	+	0.336105i	$0.890890\pi$
$564$	−7.76723	−	2.52373i	−0.327059	−	0.106268i
$565$	−13.1639	+	9.58184i	−0.553809	+	0.403111i
$566$	−2.09720	+	1.52370i	−0.0881518	+	0.0640460i
$567$	0.556268	−	3.51214i	0.0233611	−	0.147496i
$568$	−10.0073	+	19.6404i	−0.419896	+	0.824093i
$569$	−3.14785	+	9.68810i	−0.131965	+	0.406146i	−0.995106	−	0.0988172i	$-0.968494\pi$
$569$	−3.14785	+	9.68810i	−0.131965	+	0.406146i	0.863141	+	0.504964i	$0.168494\pi$
$570$	0.729146	+	1.42792i	0.0305406	+	0.0598090i
$571$			33.9225i			1.41961i	0.704396	+	0.709807i	$0.251218\pi$
$571$			33.9225i			1.41961i	−0.704396	+	0.709807i	$0.748782\pi$
$572$	8.07052	+	11.8266i	0.337445	+	0.494495i
$573$	−5.42387	+	5.42387i	−0.226585	+	0.226585i
$574$	−9.11243	−	6.62057i	−0.380346	−	0.276337i
$575$	7.04971	−	13.8963i	0.293993	−	0.579515i
$576$	0.0479850	+	0.147683i	0.00199938	+	0.00615345i
$577$	32.1342	+	5.08956i	1.33776	+	0.211881i	0.783983	−	0.620782i	$-0.213185\pi$
$577$	32.1342	+	5.08956i	1.33776	+	0.211881i	0.553780	+	0.832663i	$0.313185\pi$
$578$	29.5248	+	4.67627i	1.22807	+	0.194507i
$579$	2.70981	+	8.33992i	0.112616	+	0.346595i
$580$	−9.78872	+	9.80597i	−0.406454	+	0.407171i
$581$	−19.7396	−	14.3417i	−0.818938	−	0.594993i
$582$	14.0511	−	14.0511i	0.582436	−	0.582436i
$583$	−27.6070	+	8.07796i	−1.14336	+	0.334555i
$584$		−	20.0708i		−	0.830537i
$585$	2.72180	−	8.40201i	0.112533	−	0.347380i
$586$	−10.8444	+	33.3757i	−0.447979	+	1.37874i
$587$	6.79522	−	13.3364i	0.280469	−	0.550451i	−0.707199	−	0.707014i	$-0.750042\pi$
$587$	6.79522	−	13.3364i	0.280469	−	0.550451i	0.987668	+	0.156564i	$0.0500416\pi$
$588$	−0.965112	+	6.09348i	−0.0398006	+	0.251291i
$589$	−2.39426	+	1.73953i	−0.0986538	+	0.0716762i
$590$	−34.1940	−	46.9770i	−1.40775	−	1.93401i
$591$	6.42088	+	2.08627i	0.264120	+	0.0858177i
$592$	4.69763	+	29.6597i	0.193072	+	1.21901i
$593$	−4.08613	−	4.08613i	−0.167797	−	0.167797i	0.618213	−	0.786010i	$-0.287857\pi$
$593$	−4.08613	−	4.08613i	−0.167797	−	0.167797i	−0.786010	+	0.618213i	$0.787857\pi$
$594$	5.78551	−	0.742144i	0.237382	−	0.0304505i
$595$	0.372991	+	0.189635i	0.0152912	+	0.00777428i
$596$	−9.91134	+	13.6418i	−0.405984	+	0.558790i
$597$	7.24222	−	3.69009i	0.296404	−	0.151025i
$598$	19.2884	+	9.82793i	0.788762	+	0.401894i
$599$	9.11360	+	12.5438i	0.372372	+	0.512526i	0.953544	−	0.301255i	$-0.0974056\pi$
$599$	9.11360	+	12.5438i	0.372372	+	0.512526i	−0.581172	+	0.813781i	$0.697406\pi$
$600$	7.58974	+	2.45129i	0.309850	+	0.100073i
$601$	−9.85618	+	3.20247i	−0.402042	+	0.130631i	−0.503056	−	0.864254i	$-0.667791\pi$
$601$	−9.85618	+	3.20247i	−0.402042	+	0.130631i	0.101014	+	0.994885i	$0.467791\pi$
$602$	7.24379	+	14.2167i	0.295235	+	0.579431i
$603$	5.80233	−	0.918999i	0.236289	−	0.0374245i
$604$	−21.0141			−0.855053
$605$	−9.87481	−	22.5275i	−0.401468	−	0.915873i
$606$	−2.81749			−0.114453
$607$	−6.16132	+	0.975858i	−0.250080	+	0.0396088i	−0.280216	−	0.959937i	$-0.590406\pi$
$607$	−6.16132	+	0.975858i	−0.250080	+	0.0396088i	0.0301356	+	0.999546i	$0.490406\pi$
$608$	−1.03429	−	2.02990i	−0.0419459	−	0.0823235i
$609$	19.1727	−	6.22957i	0.776915	−	0.252435i
$610$	32.5682	−	44.9094i	1.31865	−	1.81833i
$611$	17.3473	+	23.8765i	0.701797	+	0.965940i
$612$	−0.0512486	−	0.0261124i	−0.00207160	−	0.00105553i
$613$	3.60766	−	1.83819i	0.145712	−	0.0742440i	−0.379614	−	0.925145i	$-0.623943\pi$
$613$	3.60766	−	1.83819i	0.145712	−	0.0742440i	0.525326	+	0.850901i	$0.323943\pi$
$614$	34.2584	−	47.1526i	1.38256	−	1.90293i
$615$	−3.82915	+	1.24790i	−0.154406	+	0.0503200i
$616$	18.6598	−	2.39361i	0.751825	−	0.0964414i
$617$	−0.371517	−	0.371517i	−0.0149567	−	0.0149567i	0.699589	−	0.714546i	$-0.253367\pi$
$617$	−0.371517	−	0.371517i	−0.0149567	−	0.0149567i	−0.714546	+	0.699589i	$0.753367\pi$
$618$	−3.32558	−	20.9969i	−0.133774	−	0.844619i
$619$	−34.0962	−	11.0785i	−1.37044	−	0.445283i	−0.470925	−	0.882173i	$-0.656080\pi$
$619$	−34.0962	−	11.0785i	−1.37044	−	0.445283i	−0.899515	+	0.436890i	$0.856080\pi$
$620$	2.75982	−	17.5247i	0.110837	−	0.703807i
$621$	2.52125	−	1.83180i	0.101174	−	0.0735075i
$622$	−3.12583	+	19.7357i	−0.125335	+	0.791331i
$623$	−19.3825	+	38.0402i	−0.776542	+	1.52405i
$624$	−6.09212	+	18.7496i	−0.243880	+	0.750586i
$625$	20.1735	−	14.7658i	0.806942	−	0.590631i
$626$		−	36.8510i		−	1.47286i
$627$	1.29778	−	0.379738i	0.0518284	−	0.0151653i
$628$	2.36218	−	2.36218i	0.0942613	−	0.0942613i
$629$	0.256137	+	0.186094i	0.0102128	+	0.00742007i
$630$	9.89676	+	9.87935i	0.394296	+	0.393603i
$631$	5.42915	+	16.7092i	0.216131	+	0.665182i	0.999071	+	0.0430859i	$0.0137189\pi$
$631$	5.42915	+	16.7092i	0.216131	+	0.665182i	−0.782940	+	0.622097i	$0.786281\pi$
$632$	−12.4394	−	1.97021i	−0.494813	−	0.0783706i
$633$	−16.6712	−	2.64046i	−0.662622	−	0.104949i
$634$	−0.704865	−	2.16935i	−0.0279938	−	0.0861560i
$635$	−15.3763	+	0.0135392i	−0.610189	+	0.000537287i
$636$	7.66891	+	5.57179i	0.304092	+	0.220936i
$637$	15.7646	−	15.7646i	0.624617	−	0.624617i
$638$	18.6394	+	27.3143i	0.737941	+	1.08138i
$639$			13.8187i			0.546659i
$640$	−24.3546	−	7.88959i	−0.962700	−	0.311863i
$641$	6.06445	−	18.6644i	0.239531	−	0.737201i	−0.756957	−	0.653465i	$-0.773315\pi$
$641$	6.06445	−	18.6644i	0.239531	−	0.737201i	0.996488	−	0.0837363i	$-0.0266853\pi$
$642$	−2.68521	+	5.27003i	−0.105977	+	0.207991i
$643$	4.34300	−	27.4206i	0.171271	−	1.08136i	−0.740918	−	0.671595i	$-0.765609\pi$
$643$	4.34300	−	27.4206i	0.171271	−	1.08136i	0.912189	−	0.409769i	$-0.134391\pi$
$644$	−9.79903	+	7.11941i	−0.386136	+	0.280544i
$645$	5.63564	+	0.887512i	0.221903	+	0.0349458i
$646$	−0.0358860	−	0.0116601i	−0.00141192	−	0.000458760i
$647$	6.94574	+	43.8537i	0.273065	+	1.72407i	0.618640	+	0.785674i	$0.287684\pi$
$647$	6.94574	+	43.8537i	0.273065	+	1.72407i	−0.345575	+	0.938391i	$0.612316\pi$
$648$	1.12795	+	1.12795i	0.0443099	+	0.0443099i
$649$	−44.2997	+	20.9496i	−1.73892	+	0.822345i
$650$	20.4643	+	28.0626i	0.802675	+	1.10071i
$651$	−15.1719	+	20.8823i	−0.594634	+	0.818444i
$652$	−3.81130	+	1.94195i	−0.149262	+	0.0760527i
$653$	4.28617	+	2.18391i	0.167731	+	0.0854631i	0.535840	−	0.844319i	$-0.319995\pi$
$653$	4.28617	+	2.18391i	0.167731	+	0.0854631i	−0.368110	+	0.929782i	$0.619995\pi$
$654$	−11.0409	−	15.1965i	−0.431734	−	0.594230i
$655$	−6.80650	+	1.08419i	−0.265952	+	0.0423628i
$656$	8.54988	−	2.77803i	0.333817	−	0.108464i
$657$	−5.71228	−	11.2110i	−0.222857	−	0.437382i
$658$	−46.1537	+	7.31002i	−1.79926	+	0.284974i
$659$	6.14036			0.239194			0.119597	−	0.992822i	$-0.461840\pi$
$659$	6.14036			0.239194			0.119597	+	0.992822i	$0.461840\pi$
$660$	−3.88512	+	7.11406i	−0.151228	+	0.276914i
$661$	23.1701			0.901213			0.450607	−	0.892723i	$-0.351208\pi$
$661$	23.1701			0.901213			0.450607	+	0.892723i	$0.351208\pi$
$662$	−17.2417	+	2.73082i	−0.670119	+	0.106136i
$663$	0.0943628	+	0.185197i	0.00366475	+	0.00719247i
$664$	10.4097	−	3.38232i	0.403975	−	0.131260i
$665$	2.62432	+	1.90315i	0.101767	+	0.0738010i
$666$	6.21922	+	8.56002i	0.240990	+	0.331694i
$667$	15.7421	+	8.02102i	0.609538	+	0.310575i
$668$	−6.31505	+	3.21768i	−0.244337	+	0.124496i
$669$	−8.46410	+	11.6498i	−0.327241	+	0.450409i
$670$	−10.4701	+	20.5936i	−0.404496	+	0.795600i
$671$	−32.0931	−	34.0448i	−1.23894	−	1.31428i
$672$	−14.0504	−	14.0504i	−0.542005	−	0.542005i
$673$	2.57392	+	16.2511i	0.0992172	+	0.626433i	0.986318	+	0.164856i	$0.0527160\pi$
$673$	2.57392	+	16.2511i	0.0992172	+	0.626433i	−0.887100	+	0.461576i	$0.847284\pi$
$674$	−34.3733	−	11.1686i	−1.32401	−	0.430197i
$675$	4.93706	−	0.790868i	0.190027	−	0.0304405i
$676$	−2.29939	+	1.67061i	−0.0884381	+	0.0642541i
$677$	5.90944	−	37.3107i	0.227118	−	1.43397i	−0.565751	−	0.824576i	$-0.691414\pi$
$677$	5.90944	−	37.3107i	0.227118	−	1.43397i	0.792869	−	0.609392i	$-0.208586\pi$
$678$	5.81374	−	11.4101i	0.223275	−	0.438202i
$679$	12.4157	−	38.2115i	0.476469	−	1.46642i
$680$	−0.167171	+	0.0853632i	−0.00641070	+	0.00327353i
$681$			22.5550i			0.864311i
$682$	−39.8647	−	14.2659i	−1.52650	−	0.546271i
$683$	34.4644	−	34.4644i	1.31874	−	1.31874i	0.403970	−	0.914772i	$-0.367630\pi$
$683$	34.4644	−	34.4644i	1.31874	−	1.31874i	0.914772	−	0.403970i	$-0.132370\pi$
$684$	−0.360509	−	0.261925i	−0.0137844	−	0.0100150i
$685$	0.0175978	+	19.9856i	0.000672379	+	0.763612i
$686$	−2.61939	−	8.06167i	−0.100009	−	0.307796i
$687$	−0.810352	−	0.128347i	−0.0309168	−	0.00489675i
$688$	−12.5781	−	1.99218i	−0.479537	−	0.0759512i
$689$	−10.5855	−	32.5788i	−0.403275	−	1.24115i
$690$	0.0107913	+	12.2555i	0.000410818	+	0.466560i
$691$	−10.7683	−	7.82366i	−0.409647	−	0.297626i	0.363812	−	0.931473i	$-0.381475\pi$
$691$	−10.7683	−	7.82366i	−0.409647	−	0.297626i	−0.773459	+	0.633846i	$0.781475\pi$
$692$	−14.5952	+	14.5952i	−0.554826	+	0.554826i
$693$	9.74158	−	6.64769i	0.370052	−	0.252525i
$694$			22.8306i			0.866638i
$695$	−16.2285	+	8.28683i	−0.615581	+	0.314337i
$696$	−2.79453	+	8.60069i	−0.105927	+	0.326008i
$697$	0.0430297	−	0.0844506i	0.00162987	−	0.00319879i
$698$	−6.13204	+	38.7162i	−0.232101	+	1.46543i
$699$	8.44708	−	6.13716i	0.319498	−	0.232129i
$700$	−19.1882	+	3.07376i	−0.725247	+	0.116177i
$701$	−18.8958	−	6.13961i	−0.713684	−	0.231890i	−0.0704013	−	0.997519i	$-0.522428\pi$
$701$	−18.8958	−	6.13961i	−0.713684	−	0.231890i	−0.643283	+	0.765629i	$0.722428\pi$
$702$	1.08665	+	6.86083i	0.0410129	+	0.258945i
$703$	1.73443	+	1.73443i	0.0654154	+	0.0654154i
$704$	−0.247245	+	0.451785i	−0.00931840	+	0.0170273i
$705$	−7.57226	+	14.8938i	−0.285188	+	0.560933i
$706$	3.63447	−	5.00241i	0.136785	−	0.188268i
$707$	−5.07583	+	2.58626i	−0.190896	+	0.0972664i
$708$	14.3889	+	7.33151i	0.540768	+	0.275535i
$709$	−17.2431	−	23.7331i	−0.647579	−	0.891316i	0.351412	−	0.936221i	$-0.385702\pi$
$709$	−17.2431	−	23.7331i	−0.647579	−	0.891316i	−0.998991	+	0.0449047i	$0.985702\pi$
$710$	−43.9922	−	31.9031i	−1.65100	−	1.19730i
$711$	−7.50901	+	2.43983i	−0.281610	+	0.0915006i
$712$	−8.69480	−	17.0645i	−0.325852	−	0.639520i
$713$	−22.3433	+	3.53884i	−0.836765	+	0.132531i
$714$	−0.329099			−0.0123162
$715$	26.4692	−	12.5460i	0.989893	−	0.469194i
$716$	−5.47633			−0.204660
$717$	−16.8451	+	2.66801i	−0.629093	+	0.0996386i
$718$	1.02510	+	2.01186i	0.0382562	+	0.0750820i
$719$	24.0550	−	7.81595i	0.897100	−	0.291486i	0.176061	−	0.984379i	$-0.443664\pi$
$719$	24.0550	−	7.81595i	0.897100	−	0.291486i	0.721040	+	0.692894i	$0.243664\pi$
$720$	−11.0221	+	1.75567i	−0.410768	+	0.0654300i
$721$	−25.2649	−	34.7741i	−0.940912	−	1.29505i
$722$	29.5126	+	15.0374i	1.09834	+	0.559635i
$723$	6.48215	−	3.30282i	0.241074	−	0.122833i
$724$	3.08234	−	4.24248i	0.114554	−	0.157671i
$725$	16.7018	+	22.9031i	0.620290	+	0.850601i
$726$	14.9532	+	12.2741i	0.554964	+	0.455536i
$727$	21.5768	+	21.5768i	0.800241	+	0.800241i	0.983133	−	0.182892i	$-0.0585460\pi$
$727$	21.5768	+	21.5768i	0.800241	+	0.800241i	−0.182892	+	0.983133i	$0.558546\pi$
$728$	3.50474	+	22.1280i	0.129894	+	0.820119i
$729$	0.951057	+	0.309017i	0.0352243	+	0.0114451i
$730$	48.8784	+	7.69747i	1.80907	+	0.284896i
$731$	−0.108623	+	0.0789193i	−0.00401757	+	0.00291893i
$732$	−2.41199	+	15.2287i	−0.0891497	+	0.562869i
$733$	2.94839	−	5.78655i	0.108901	−	0.213731i	−0.830124	−	0.557579i	$-0.811730\pi$
$733$	2.94839	−	5.78655i	0.108901	−	0.213731i	0.939025	+	0.343848i	$0.111730\pi$
$734$	−7.32804	+	22.5534i	−0.270483	+	0.832461i
$735$	12.0073	+	3.88973i	0.442897	+	0.143475i
$736$		−	17.4144i		−	0.641905i
$737$	15.4183	+	11.9124i	0.567939	+	0.438798i
$738$	2.23980	−	2.23980i	0.0824482	−	0.0824482i
$739$	9.19161	+	6.67810i	0.338119	+	0.245658i	0.743868	−	0.668327i	$-0.232989\pi$
$739$	9.19161	+	6.67810i	0.338119	+	0.245658i	−0.405749	+	0.913985i	$0.632989\pi$
$740$	−14.7037	+	0.0129470i	−0.540520	+	0.000475941i
$741$	0.497616	+	1.53150i	0.0182804	+	0.0562612i
$742$	53.5701	+	8.48466i	1.96662	+	0.311482i
$743$	15.5045	+	2.45567i	0.568804	+	0.0900898i	0.434211	−	0.900811i	$-0.357027\pi$
$743$	15.5045	+	2.45567i	0.568804	+	0.0900898i	0.134593	+	0.990901i	$0.457027\pi$
$744$	−3.57812	−	11.0123i	−0.131180	−	0.403731i
$745$	24.4147	+	24.3717i	0.894485	+	0.892911i
$746$	−44.3428	−	32.2169i	−1.62350	−	1.17954i
$747$	4.85193	−	4.85193i	0.177523	−	0.177523i
$748$	−0.0535724	−	0.183087i	−0.00195880	−	0.00669434i
$749$			11.9590i			0.436972i
$750$	−8.88039	+	17.5431i	−0.324266	+	0.640585i
$751$	2.69814	−	8.30403i	0.0984566	−	0.303018i	−0.889683	−	0.456580i	$-0.849074\pi$
$751$	2.69814	−	8.30403i	0.0984566	−	0.303018i	0.988139	+	0.153562i	$0.0490743\pi$
$752$	16.9321	−	33.2311i	0.617449	−	1.21181i
$753$	−4.16403	+	26.2907i	−0.151746	+	0.958085i
$754$	−31.8595	+	23.1473i	−1.16025	+	0.842974i
$755$	−6.68795	+	42.4680i	−0.243399	+	1.54557i
$756$	−3.69635	−	1.20102i	−0.134435	−	0.0436806i
$757$	−6.80187	−	42.9453i	−0.247218	−	1.56087i	−0.728957	−	0.684559i	$-0.759995\pi$
$757$	−6.80187	−	42.9453i	−0.247218	−	1.56087i	0.481739	−	0.876315i	$-0.340005\pi$
$758$	−42.9872	−	42.9872i	−1.56136	−	1.56136i
$759$	10.1567	+	1.91733i	0.368664	+	0.0695946i
$760$	−1.38266	+	0.450598i	−0.0501542	+	0.0163449i
$761$	−7.52827	+	10.3618i	−0.272899	+	0.375614i	−0.923366	−	0.383921i	$-0.874573\pi$
$761$	−7.52827	+	10.3618i	−0.272899	+	0.375614i	0.650466	+	0.759535i	$0.274573\pi$
$762$	10.7755	−	5.49038i	0.390354	−	0.198896i
$763$	−33.8400	−	17.2423i	−1.22509	−	0.624214i
$764$	4.92785	+	6.78260i	0.178283	+	0.245386i
$765$	−0.0690817	+	0.0952591i	−0.00249765	+	0.00344410i
$766$	35.6979	−	11.5989i	1.28982	−	0.419087i
$767$	−26.4939	−	51.9973i	−0.956640	−	1.87751i
$768$	19.5805	−	3.10125i	0.706550	−	0.111907i
$769$	35.8357			1.29227			0.646134	−	0.763224i	$-0.276385\pi$
$769$	35.8357			1.29227			0.646134	+	0.763224i	$0.276385\pi$
$770$	−1.32716	+	46.3601i	−0.0478277	+	1.67070i
$771$	19.2433			0.693031
$772$	9.46652	−	1.49935i	0.340707	−	0.0539628i
$773$	11.7039	+	22.9702i	0.420960	+	0.826181i	0.999941	+	0.0108400i	$0.00345053\pi$
$773$	11.7039	+	22.9702i	0.420960	+	0.826181i	−0.578981	+	0.815341i	$0.696549\pi$
$774$	−4.26750	+	1.38659i	−0.153392	+	0.0498401i
$775$	−34.5377	−	11.1548i	−1.24063	−	0.400692i
$776$	10.5939	+	14.5813i	0.380300	+	0.523438i
$777$	19.0617	+	9.71241i	0.683834	+	0.348431i
$778$	40.7155	−	20.7456i	1.45972	−	0.743766i
$779$	0.431617	−	0.594070i	0.0154643	−	0.0212848i
$780$	−8.60485	−	4.37485i	−0.308103	−	0.156645i
$781$	−33.3495	+	31.4377i	−1.19334	+	1.12493i
$782$	−0.203948	−	0.203948i	−0.00729315	−	0.00729315i
$783$	0.886863	+	5.59943i	0.0316939	+	0.200107i
$784$	−26.7951	−	8.70626i	−0.956968	−	0.310938i
$785$	−4.02201	−	5.52558i	−0.143552	−	0.197216i
$786$	4.38557	−	3.18631i	0.156428	−	0.113652i
$787$	0.477051	−	3.01198i	0.0170050	−	0.107366i	−0.977726	−	0.209886i	$-0.932691\pi$
$787$	0.477051	−	3.01198i	0.0170050	−	0.107366i	0.994731	+	0.102520i	$0.0326907\pi$
$788$	3.35004	−	6.57482i	0.119340	−	0.234218i
$789$	−2.85422	+	8.78439i	−0.101613	+	0.312733i
$790$	9.56873	−	29.5380i	0.340440	−	1.05091i
$791$		−	25.8924i		−	0.920626i
$792$	−0.156048	+	5.28823i	−0.00554492	+	0.187909i
$793$	39.3986	−	39.3986i	1.39909	−	1.39909i
$794$	−4.98917	−	3.62484i	−0.177059	−	0.128641i
$795$	13.7009	−	13.7250i	0.485920	−	0.486777i
$796$	−2.74529	−	8.44912i	−0.0973041	−	0.299471i
$797$	40.6280	+	6.43485i	1.43912	+	0.227934i	0.826719	−	0.562615i	$-0.190205\pi$
$797$	40.6280	+	6.43485i	1.43912	+	0.227934i	0.612399	+	0.790549i	$0.290205\pi$
$798$	−2.51829	−	0.398857i	−0.0891463	−	0.0141194i
$799$	−0.121510	−	0.373971i	−0.00429873	−	0.0132301i
$800$	12.6405	−	24.9167i	0.446908	−	0.880938i
$801$	−9.71332	−	7.05714i	−0.343203	−	0.249352i
$802$	−19.1481	+	19.1481i	−0.676142	+	0.676142i
$803$	14.0606	−	39.2909i	0.496189	−	1.38655i
$804$		−	6.42092i		−	0.226448i
$805$	11.2692	+	22.0689i	0.397186	+	0.777828i
$806$	15.5815	−	47.9549i	0.548835	−	1.68914i
$807$	−4.78129	+	9.38382i	−0.168309	+	0.330326i
$808$	0.399769	−	2.52404i	0.0140638	−	0.0887955i
$809$	−6.07313	+	4.41238i	−0.213520	+	0.155131i	−0.689405	−	0.724376i	$-0.742128\pi$
$809$	−6.07313	+	4.41238i	−0.213520	+	0.155131i	0.475885	+	0.879507i	$0.342128\pi$
$810$	−3.17946	+	2.31429i	−0.111715	+	0.0813160i
$811$	2.93790	+	0.954581i	0.103164	+	0.0335199i	0.360144	−	0.932897i	$-0.382728\pi$
$811$	2.93790	+	0.954581i	0.103164	+	0.0335199i	−0.256980	+	0.966417i	$0.582728\pi$
$812$	−3.44686	−	21.7626i	−0.120961	−	0.763717i
$813$	5.57629	+	5.57629i	0.195569	+	0.195569i
$814$	−6.50961	+	34.4834i	−0.228162	+	1.20864i
$815$	2.71156	+	8.32040i	0.0949819	+	0.291451i
$816$	0.154391	−	0.212502i	0.00540478	−	0.00743904i
$817$	−0.926837	+	0.472247i	−0.0324259	+	0.0165218i
$818$	34.3873	+	17.5212i	1.20232	+	0.612614i
$819$	8.25541	+	11.3626i	0.288467	+	0.397041i
$820$	0.692429	+	4.34705i	0.0241807	+	0.151805i
$821$	28.7266	−	9.33384i	1.00257	−	0.325753i	0.238675	−	0.971099i	$-0.423287\pi$
$821$	28.7266	−	9.33384i	1.00257	−	0.325753i	0.763890	+	0.645346i	$0.223287\pi$
$822$	−7.13623	−	14.0056i	−0.248905	−	0.488503i
$823$	−47.0199	+	7.44722i	−1.63901	+	0.259594i	−0.906823	−	0.421511i	$-0.861500\pi$
$823$	−47.0199	+	7.44722i	−1.63901	+	0.259594i	−0.732186	+	0.681104i	$0.761500\pi$
$824$	19.2819			0.671716
$825$	13.1405	+	10.1157i	0.457494	+	0.352182i
$826$	92.4002			3.21501
$827$	−25.6900	+	4.06890i	−0.893329	+	0.141489i	−0.586188	−	0.810175i	$-0.699372\pi$
$827$	−25.6900	+	4.06890i	−0.893329	+	0.141489i	−0.307140	+	0.951664i	$0.599372\pi$
$828$	−1.54639	−	3.03497i	−0.0537409	−	0.105472i
$829$	−39.8775	+	12.9570i	−1.38500	+	0.450015i	−0.904311	−	0.426874i	$-0.859615\pi$
$829$	−39.8775	+	12.9570i	−1.38500	+	0.450015i	−0.480693	+	0.876889i	$0.659615\pi$
$830$	4.24467	+	26.6479i	0.147335	+	0.924962i
$831$	−12.2107	−	16.8065i	−0.423583	−	0.583012i
$832$	−0.546477	−	0.278444i	−0.0189457	−	0.00965331i
$833$	−0.264666	+	0.134854i	−0.00917013	+	0.00467241i
$834$	8.42393	−	11.5945i	0.291697	−	0.401486i
$835$	4.49287	+	13.7863i	0.155482	+	0.477095i
$836$	−0.188043	−	1.46592i	−0.00650361	−	0.0507000i
$837$	−5.13280	−	5.13280i	−0.177416	−	0.177416i
$838$	−1.88880	−	11.9254i	−0.0652474	−	0.411956i
$839$	4.31813	+	1.40305i	0.149078	+	0.0484385i	0.382606	−	0.923912i	$-0.375027\pi$
$839$	4.31813	+	1.40305i	0.149078	+	0.0484385i	−0.233527	+	0.972350i	$0.575027\pi$
$840$	−10.2546	+	7.46422i	−0.353818	+	0.257540i
$841$	−2.54044	+	1.84574i	−0.0876015	+	0.0636462i
$842$	5.67604	−	35.8371i	0.195609	−	1.23503i
$843$	10.2160	−	20.0501i	0.351859	−	0.690562i
$844$	−5.70092	+	17.5456i	−0.196234	+	0.603945i
$845$	2.64437	+	5.17859i	0.0909691	+	0.178149i
$846$		−	13.1412i		−	0.451803i
$847$	38.2055	+	8.38636i	1.31276	+	0.288159i
$848$	−30.6101	+	30.6101i	−1.05115	+	1.05115i
$849$	−1.19248	−	0.866386i	−0.0409257	−	0.0297343i
$850$	−0.143772	−	0.439848i	−0.00493134	−	0.0150866i
$851$	5.79388	+	17.8317i	0.198612	+	0.611264i
$852$	14.9177	+	2.36273i	0.511071	+	0.0809457i
$853$	−14.7689	−	2.33916i	−0.505676	−	0.0800913i	−0.101616	−	0.994824i	$-0.532401\pi$
$853$	−14.7689	−	2.33916i	−0.505676	−	0.0800913i	−0.404060	+	0.914732i	$0.632401\pi$
$854$	27.2616	+	83.9026i	0.932873	+	2.87109i
$855$	−0.644067	+	0.645203i	−0.0220266	+	0.0220655i
$856$	−4.34014	−	3.15329i	−0.148343	−	0.107777i
$857$	−34.9207	+	34.9207i	−1.19287	+	1.19287i	−0.216611	+	0.976258i	$0.569500\pi$
$857$	−34.9207	+	34.9207i	−1.19287	+	1.19287i	−0.976258	+	0.216611i	$0.930500\pi$
$858$	−14.0855	+	18.2310i	−0.480872	+	0.622395i
$859$			24.9745i			0.852118i	0.904695	+	0.426059i	$0.140098\pi$
$859$			24.9745i			0.852118i	−0.904695	+	0.426059i	$0.859902\pi$
$860$	1.92168	−	5.93210i	0.0655288	−	0.202283i
$861$	1.97911	−	6.09107i	0.0674479	−	0.207583i
$862$	−1.82606	+	3.58384i	−0.0621957	+	0.122066i
$863$	4.61566	−	29.1421i	0.157119	−	0.992009i	−0.775553	−	0.631283i	$-0.782529\pi$
$863$	4.61566	−	29.1421i	0.157119	−	0.992009i	0.932672	−	0.360726i	$-0.117471\pi$
$864$	4.52073	−	3.28450i	0.153798	−	0.111741i
$865$	24.8508	+	34.1409i	0.844952	+	1.16083i
$866$	−12.0724	−	3.92255i	−0.410236	−	0.133294i
$867$	2.65895	+	16.7880i	0.0903028	+	0.570149i
$868$	19.9490	+	19.9490i	0.677114	+	0.677114i
$869$	−22.9713	−	12.5713i	−0.779248	−	0.426453i
$870$	−19.8735	−	10.1040i	−0.673773	−	0.342558i
$871$	−13.6386	+	18.7719i	−0.462126	+	0.636061i
$872$	15.1803	−	7.73476i	0.514070	−	0.261932i
$873$	10.0674	+	5.12958i	0.340729	+	0.173610i
$874$	−1.31344	−	1.80780i	−0.0444278	−	0.0611496i
$875$	0.105019	+	39.7563i	0.00355030	+	1.34401i
$876$	−13.0793	+	4.24971i	−0.441908	+	0.143585i
$877$	−21.6187	−	42.4291i	−0.730012	−	1.43273i	−0.894831	−	0.446405i	$-0.852704\pi$
$877$	−21.6187	−	42.4291i	−0.730012	−	1.43273i	0.164819	−	0.986324i	$-0.447296\pi$
$878$	61.0968	−	9.67678i	2.06192	−	0.326576i
$879$	−19.9542			−0.673040
$880$	−29.3124	−	22.6060i	−0.988121	−	0.762049i
$881$	13.0808			0.440703			0.220352	−	0.975421i	$-0.429280\pi$
$881$	13.0808			0.440703			0.220352	+	0.975421i	$0.429280\pi$
$882$	−9.80482	+	1.55293i	−0.330146	+	0.0522899i
$883$	14.8038	+	29.0542i	0.498189	+	0.977750i	0.994006	+	0.109323i	$0.0348684\pi$
$883$	14.8038	+	29.0542i	0.498189	+	0.977750i	−0.495818	+	0.868427i	$0.665132\pi$
$884$	0.216060	−	0.0702023i	0.00726690	−	0.00236116i
$885$	19.3958	−	26.7456i	0.651984	−	0.899043i
$886$	0.400984	+	0.551907i	0.0134713	+	0.0185417i
$887$	38.6623	+	19.6994i	1.29815	+	0.661442i	0.960093	−	0.279683i	$-0.0902292\pi$
$887$	38.6623	+	19.6994i	1.29815	+	0.661442i	0.338060	+	0.941124i	$0.390229\pi$
$888$	−8.55091	+	4.35690i	−0.286950	+	0.146208i
$889$	14.3727	−	19.7823i	0.482044	−	0.663476i
$890$	44.8917	−	14.6299i	1.50477	−	0.490396i
$891$	1.41790	+	2.99826i	0.0475013	+	0.100446i
$892$	11.1291	+	11.1291i	0.372631	+	0.372631i
$893$	−0.476565	−	3.00891i	−0.0159476	−	0.100689i
$894$	−25.8044	−	8.38437i	−0.863030	−	0.280415i
$895$	−1.74290	+	11.0673i	−0.0582586	+	0.369938i
$896$	32.9363	−	23.9296i	1.10033	−	0.799433i
$897$	−1.92557	+	12.1576i	−0.0642929	+	0.405929i
$898$	−1.03411	+	2.02956i	−0.0345088	+	0.0677273i
$899$	12.7167	−	39.1381i	0.424127	−	1.30533i
$900$	−0.00962400	−	5.46492i	−0.000320800	−	0.182164i
$901$			0.456402i			0.0152049i
$902$	10.5010	+	0.309870i	0.349646	+	0.0103175i
$903$	−6.41527	+	6.41527i	−0.213487	+	0.213487i
$904$	9.39680	+	6.82718i	0.312533	+	0.227069i
$905$	−7.59276	−	7.57940i	−0.252392	−	0.251948i
$906$	−10.4488	−	32.1582i	−0.347139	−	1.06839i
$907$	−19.9250	−	3.15581i	−0.661600	−	0.104787i	−0.183400	−	0.983038i	$-0.558710\pi$
$907$	−19.9250	−	3.15581i	−0.661600	−	0.104787i	−0.478200	+	0.878251i	$0.658710\pi$
$908$	24.3488	+	3.85648i	0.808045	+	0.127982i
$909$	−0.495058	−	1.52363i	−0.0164200	−	0.0505357i
$910$	−55.2324	+	0.0486334i	−1.83094	+	0.00161218i
$911$	5.17394	+	3.75909i	0.171420	+	0.124544i	0.670187	−	0.742192i	$-0.266214\pi$
$911$	5.17394	+	3.75909i	0.171420	+	0.124544i	−0.498767	+	0.866736i	$0.666214\pi$
$912$	1.43896	−	1.43896i	0.0476486	−	0.0476486i
$913$	22.7477	+	0.671251i	0.752838	+	0.0222152i
$914$		−	10.4070i		−	0.344232i
$915$	30.0085	+	9.72113i	0.992049	+	0.321371i
$916$	−0.277109	+	0.852854i	−0.00915594	+	0.0281791i
$917$	4.97598	−	9.76591i	0.164321	−	0.322499i
$918$	0.0144780	−	0.0914103i	0.000477844	−	0.00301699i
$919$	37.1776	−	27.0111i	1.22638	−	0.891014i	0.229762	−	0.973247i	$-0.426205\pi$
$919$	37.1776	−	27.0111i	1.22638	−	0.891014i	0.996613	+	0.0822330i	$0.0262052\pi$
$920$	−10.9806	−	1.72925i	−0.362020	−	0.0570117i
$921$	31.5185	+	10.2410i	1.03857	+	0.337452i
$922$	−0.0996954	−	0.629452i	−0.00328329	−	0.0207299i
$923$	−38.5940	−	38.5940i	−1.27034	−	1.27034i
$924$	−5.51076	−	11.6530i	−0.181291	−	0.383354i
$925$	−4.65344	+	29.7193i	−0.153004	+	0.977165i
$926$	−31.1470	+	42.8702i	−1.02355	+	1.40880i
$927$	10.7703	−	5.48773i	0.353742	−	0.180241i
$928$	28.2264	+	14.3821i	0.926577	+	0.472115i
$929$	−25.0810	−	34.5211i	−0.822882	−	1.13260i	−0.989206	−	0.146529i	$-0.953190\pi$
$929$	−25.0810	−	34.5211i	−0.822882	−	1.13260i	0.166324	−	0.986071i	$-0.446810\pi$
$930$	28.1905	−	4.49039i	0.924403	−	0.147246i
$931$	−2.18867	+	0.711143i	−0.0717309	+	0.0233068i
$932$	−5.18096	−	10.1682i	−0.169708	−	0.333071i
$933$	−11.2219	+	1.77737i	−0.367387	+	0.0581884i
$934$	−50.9586			−1.66742
$935$	−0.387056	+	0.0499967i	−0.0126581	+	0.00163507i
$936$	−6.30044			−0.205936
$937$	3.15758	−	0.500112i	0.103154	−	0.0163379i	−0.104644	−	0.994510i	$-0.533370\pi$
$937$	3.15758	−	0.500112i	0.103154	−	0.0163379i	0.207798	+	0.978172i	$0.433370\pi$
$938$	−16.6790	−	32.7344i	−0.544589	−	1.06882i
$939$	19.9282	−	6.47505i	0.650331	−	0.211305i
$940$	14.7836	+	10.7210i	0.482188	+	0.349682i
$941$	−0.910694	−	1.25346i	−0.0296878	−	0.0408617i	0.793915	−	0.608029i	$-0.208039\pi$
$941$	−0.910694	−	1.25346i	−0.0296878	−	0.0408617i	−0.823603	+	0.567167i	$0.808039\pi$
$942$	4.78942	+	2.44033i	0.156048	+	0.0795104i
$943$	5.00121	−	2.54824i	0.162862	−	0.0829822i
$944$	−43.3480	+	59.6634i	−1.41086	+	1.94188i
$945$	−3.60357	+	7.08782i	−0.117224	+	0.230567i
$946$	−13.0550	−	7.14450i	−0.424454	−	0.232288i
$947$	−11.7420	−	11.7420i	−0.381563	−	0.381563i	0.490102	−	0.871665i	$-0.336959\pi$
$947$	−11.7420	−	11.7420i	−0.381563	−	0.381563i	−0.871665	+	0.490102i	$0.836959\pi$
$948$	1.34997	+	8.52337i	0.0438449	+	0.276826i
$949$	47.2647	+	15.3572i	1.53428	+	0.498517i
$950$	−0.567070	−	3.53998i	−0.0183982	−	0.114852i
$951$	1.04928	−	0.762348i	0.0340253	−	0.0247208i
$952$	0.0466953	−	0.294823i	0.00151340	−	0.00955526i
$953$	−3.68449	+	7.23122i	−0.119352	+	0.234242i	−0.942951	−	0.332930i	$-0.891963\pi$
$953$	−3.68449	+	7.23122i	−0.119352	+	0.234242i	0.823599	+	0.567172i	$0.191963\pi$
$954$	−4.71338	+	14.5063i	−0.152601	+	0.469659i
$955$	15.2755	−	7.80020i	0.494303	−	0.252409i
$956$			18.6410i			0.602893i
$957$	−11.4958	+	14.8791i	−0.371607	+	0.480973i
$958$	−10.4197	+	10.4197i	−0.336645	+	0.336645i
$959$	−25.7124	−	18.6812i	−0.830297	−	0.603246i
$960$	−0.000305738	−	0.347223i	−9.86765e−6	−	0.0112066i
$961$	6.70300	+	20.6297i	0.216226	+	0.665474i
$962$	−41.2767	−	6.53759i	−1.33081	−	0.210780i
$963$	−3.32172	−	0.526109i	−0.107041	−	0.0169536i
$964$	−2.45717	−	7.56239i	−0.0791401	−	0.243568i
$965$	−0.0172656	−	19.6083i	−0.000555799	−	0.631214i
$966$	−15.7673	−	11.4556i	−0.507304	−	0.368578i
$967$	−38.2478	+	38.2478i	−1.22997	+	1.22997i	−0.265990	+	0.963976i	$0.585699\pi$
$967$	−38.2478	+	38.2478i	−1.22997	+	1.22997i	−0.963976	+	0.265990i	$0.914301\pi$
$968$	−13.1174	+	11.6542i	−0.421610	+	0.374580i
$969$		−	0.0214551i		−	0.000689237i
$970$	−39.5727	+	20.2072i	−1.27060	+	0.648814i
$971$	0.310111	−	0.954423i	0.00995193	−	0.0306289i	−0.945957	−	0.324291i	$-0.894874\pi$
$971$	0.310111	−	0.954423i	0.00995193	−	0.0306289i	0.955909	+	0.293662i	$0.0948742\pi$
$972$	0.496205	−	0.973858i	0.0159158	−	0.0312365i
$973$	4.53306	−	28.6206i	0.145323	−	0.917534i
$974$	−15.6535	+	11.3729i	−0.501569	+	0.364412i
$975$	−11.5798	+	15.9974i	−0.370851	+	0.512328i
$976$	−66.9658	−	21.7585i	−2.14352	−	0.696473i
$977$	−1.81299	−	11.4468i	−0.0580027	−	0.366215i	−0.999568	−	0.0293846i	$-0.990645\pi$
$977$	−1.81299	−	11.4468i	−0.0580027	−	0.366215i	0.941565	−	0.336830i	$-0.109355\pi$
$978$	−4.86689	−	4.86689i	−0.155626	−	0.155626i
$979$	−5.06651	−	39.4968i	−0.161926	−	1.26232i
$980$	6.25210	−	12.2972i	0.199716	−	0.392819i
$981$	6.27792	−	8.64082i	0.200439	−	0.275880i
$982$	−2.54852	+	1.29854i	−0.0813265	+	0.0414379i
$983$	−2.67670	−	1.36385i	−0.0853734	−	0.0434999i	0.410782	−	0.911733i	$-0.365256\pi$
$983$	−2.67670	−	1.36385i	−0.0853734	−	0.0434999i	−0.496156	+	0.868233i	$0.665256\pi$
$984$	1.68872	+	2.32432i	0.0538344	+	0.0740967i
$985$	−12.2210	−	8.86268i	−0.389395	−	0.282388i
$986$	0.499006	−	0.162137i	0.0158916	−	0.00516349i
$987$	−12.0627	−	23.6744i	−0.383960	−	0.753563i
$988$	1.73839	−	0.275333i	0.0553055	−	0.00875953i
$989$	−7.95128			−0.252836
$990$	−12.8185	−	2.40814i	−0.407400	−	0.0765356i
$991$	32.4226			1.02994			0.514969	−	0.857209i	$-0.327803\pi$
$991$	32.4226			1.02994			0.514969	+	0.857209i	$0.327803\pi$
$992$	−40.0627	+	6.34531i	−1.27199	+	0.201464i
$993$	−4.50629	−	8.84409i	−0.143003	−	0.280659i
$994$	82.1890	−	26.7048i	2.60688	−	0.847026i
$995$	−17.9488	+	2.85901i	−0.569014	+	0.0906367i
$996$	−4.40822	−	6.06739i	−0.139680	−	0.192253i
$997$	−51.5806	−	26.2816i	−1.63357	−	0.832347i	−0.998189	−	0.0601504i	$-0.980842\pi$
$997$	−51.5806	−	26.2816i	−1.63357	−	0.832347i	−0.635384	−	0.772197i	$-0.719158\pi$
$998$	−12.8353	+	6.53990i	−0.406294	+	0.207017i
$999$	−3.53628	+	4.86728i	−0.111883	+	0.153994i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	165.2.w.a.7.9	✓	96
3.2	odd	2		495.2.bj.c.172.4		96
5.2	odd	4		825.2.cw.b.568.9		96
5.3	odd	4	inner	165.2.w.a.73.4	yes	96
5.4	even	2		825.2.cw.b.7.4		96
11.8	odd	10	inner	165.2.w.a.52.4	yes	96
15.8	even	4		495.2.bj.c.73.9		96
33.8	even	10		495.2.bj.c.217.9		96
55.8	even	20	inner	165.2.w.a.118.9	yes	96
55.19	odd	10		825.2.cw.b.382.9		96
55.52	even	20		825.2.cw.b.118.4		96
165.8	odd	20		495.2.bj.c.118.4		96

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
165.2.w.a.7.9	✓	96	1.1	even	1	trivial
165.2.w.a.52.4	yes	96	11.8	odd	10	inner
165.2.w.a.73.4	yes	96	5.3	odd	4	inner
165.2.w.a.118.9	yes	96	55.8	even	20	inner
495.2.bj.c.73.9		96	15.8	even	4
495.2.bj.c.118.4		96	165.8	odd	20
495.2.bj.c.172.4		96	3.2	odd	2
495.2.bj.c.217.9		96	33.8	even	10
825.2.cw.b.7.4		96	5.4	even	2
825.2.cw.b.118.4		96	55.52	even	20
825.2.cw.b.382.9		96	55.19	odd	10
825.2.cw.b.568.9		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)

\(f(q)\)	\(=\)	\(q+(1.73704 - 0.275120i) q^{2} +(0.453990 + 0.891007i) q^{3} +(1.03949 - 0.337751i) q^{4} +(-0.351743 - 2.20823i) q^{5} +(1.03373 + 1.42281i) q^{6} +(3.16835 + 1.61435i) q^{7} +(-1.42129 + 0.724185i) q^{8} +(-0.587785 + 0.809017i) q^{9} +O(q^{10})\)	\(q+(1.73704 - 0.275120i) q^{2} +(0.453990 + 0.891007i) q^{3} +(1.03949 - 0.337751i) q^{4} +(-0.351743 - 2.20823i) q^{5} +(1.03373 + 1.42281i) q^{6} +(3.16835 + 1.61435i) q^{7} +(-1.42129 + 0.724185i) q^{8} +(-0.587785 + 0.809017i) q^{9} +(-1.21852 - 3.73900i) q^{10} +(-3.28967 + 0.421987i) q^{11} +(0.772858 + 0.772858i) q^{12} +(-0.617875 - 3.90111i) q^{13} +(5.94768 + 1.93252i) q^{14} +(1.80786 - 1.31592i) q^{15} +(-4.03809 + 2.93384i) q^{16} +(-0.00823225 + 0.0519764i) q^{17} +(-0.798428 + 1.56700i) q^{18} +(-0.125987 + 0.387749i) q^{19} +(-1.11147 - 2.17663i) q^{20} +3.55592i q^{21} +(-5.59818 + 1.63806i) q^{22} +(-2.20366 + 2.20366i) q^{23} +(-1.29051 - 0.937609i) q^{24} +(-4.75255 + 1.55346i) q^{25} +(-2.14654 - 6.60637i) q^{26} +(-0.987688 - 0.156434i) q^{27} +(3.83872 + 0.607994i) q^{28} +(-1.75189 - 5.39176i) q^{29} +(2.77828 - 2.78318i) q^{30} +(5.87256 + 4.26666i) q^{31} +(-3.95126 + 3.95126i) q^{32} +(-1.86947 - 2.73954i) q^{33} +0.0925497i q^{34} +(2.45042 - 7.56428i) q^{35} +(-0.337751 + 1.03949i) q^{36} +(2.73134 - 5.36055i) q^{37} +(-0.112167 + 0.708195i) q^{38} +(3.19540 - 2.32160i) q^{39} +(2.09910 + 2.88382i) q^{40} +(-1.71294 - 0.556568i) q^{41} +(0.978303 + 6.17676i) q^{42} +(1.80411 + 1.80411i) q^{43} +(-3.27706 + 1.54974i) q^{44} +(1.99324 + 1.01340i) q^{45} +(-3.22156 + 4.43410i) q^{46} +(-6.65773 + 3.39228i) q^{47} +(-4.44733 - 2.26603i) q^{48} +(3.31779 + 4.56655i) q^{49} +(-7.82797 + 4.00593i) q^{50} +(-0.0500487 + 0.0162618i) q^{51} +(-1.95988 - 3.84648i) q^{52} +(8.56606 - 1.35673i) q^{53} -1.75869 q^{54} +(2.08896 + 7.11591i) q^{55} -5.67224 q^{56} +(-0.402684 + 0.0637788i) q^{57} +(-4.52647 - 8.88370i) q^{58} +(14.0520 - 4.56577i) q^{59} +(1.43480 - 1.97849i) q^{60} +(8.29176 + 11.4126i) q^{61} +(11.3747 + 5.79569i) q^{62} +(-3.16835 + 1.61435i) q^{63} +(0.0912729 - 0.125626i) q^{64} +(-8.39721 + 2.73659i) q^{65} +(-4.00104 - 4.24435i) q^{66} +(-4.15401 - 4.15401i) q^{67} +(0.00899774 + 0.0568095i) q^{68} +(-2.96391 - 0.963033i) q^{69} +(2.17539 - 13.8136i) q^{70} +(11.1795 - 8.12242i) q^{71} +(0.249537 - 1.57552i) q^{72} +(-5.71228 + 11.2110i) q^{73} +(3.26964 - 10.0629i) q^{74} +(-3.54175 - 3.52930i) q^{75} +0.445614i q^{76} +(-11.1041 - 3.97369i) q^{77} +(4.91181 - 4.91181i) q^{78} +(6.38755 + 4.64083i) q^{79} +(7.89897 + 7.88507i) q^{80} +(-0.309017 - 0.951057i) q^{81} +(-3.12856 - 0.495515i) q^{82} +(-6.77719 - 1.07340i) q^{83} +(1.20102 + 3.69635i) q^{84} +(0.117671 - 0.000103613i) q^{85} +(3.63015 + 2.63746i) q^{86} +(4.00875 - 4.00875i) q^{87} +(4.36999 - 2.98210i) q^{88} +12.0063i q^{89} +(3.74114 + 1.21193i) q^{90} +(4.34013 - 13.3575i) q^{91} +(-1.54639 + 3.03497i) q^{92} +(-1.13554 + 7.16951i) q^{93} +(-10.6314 + 7.72419i) q^{94} +(0.900553 + 0.141821i) q^{95} +(-5.31443 - 1.72676i) q^{96} +(-1.76753 - 11.1598i) q^{97} +(7.01948 + 7.01948i) q^{98} +(1.59222 - 2.90944i) 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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