LMFDB - Embedded newform 96.2.o.a.35.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [96,2,Mod(11,96)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(96, base_ring=CyclotomicField(8))

chi = DirichletCharacter(H, H._module([4, 5, 4]))

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

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

chi := DirichletCharacter("96.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 96 = 2^{5} \cdot 3 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	96.o (of order $8$, degree $4$, 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:	$0.766563859404$
Analytic rank:	$0$
Dimension:	$56$
Relative dimension:	$14$ over $\Q(\zeta_{8})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label			35.7
Character	$\chi$	$=$	96.35
Dual form			96.2.o.a.11.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.310967 - 1.37960i) q^{2} +(-1.70463 + 0.306981i) q^{3} +(-1.80660 + 0.858022i) q^{4} +(-2.70066 + 1.11865i) q^{5} +(0.953596 + 2.25625i) q^{6} +(-3.28204 - 3.28204i) q^{7} +(1.74552 + 2.22557i) q^{8} +(2.81152 - 1.04658i) q^{9} +O(q^{10})$	\(q+(-0.310967 - 1.37960i) q^{2} +(-1.70463 + 0.306981i) q^{3} +(-1.80660 + 0.858022i) q^{4} +(-2.70066 + 1.11865i) q^{5} +(0.953596 + 2.25625i) q^{6} +(-3.28204 - 3.28204i) q^{7} +(1.74552 + 2.22557i) q^{8} +(2.81152 - 1.04658i) q^{9} +(2.38311 + 3.37797i) q^{10} +(0.276697 - 0.114612i) q^{11} +(2.81619 - 2.01720i) q^{12} +(-0.155281 + 0.374881i) q^{13} +(-3.50730 + 5.54851i) q^{14} +(4.26022 - 2.73593i) q^{15} +(2.52760 - 3.10020i) q^{16} -1.41723 q^{17} +(-2.31815 - 3.55333i) q^{18} +(-2.51972 - 1.04370i) q^{19} +(3.91918 - 4.33817i) q^{20} +(6.60218 + 4.58713i) q^{21} +(-0.244162 - 0.346091i) q^{22} +(-3.30034 - 3.30034i) q^{23} +(-3.65867 - 3.25793i) q^{24} +(2.50664 - 2.50664i) q^{25} +(0.565473 + 0.0976497i) q^{26} +(-4.47133 + 2.64711i) q^{27} +(8.74538 + 3.11326i) q^{28} +(-0.650676 + 1.57087i) q^{29} +(-5.09929 - 5.02661i) q^{30} +4.16702i q^{31} +(-5.06304 - 2.52301i) q^{32} +(-0.436482 + 0.280311i) q^{33} +(0.440711 + 1.95521i) q^{34} +(12.5351 + 5.19221i) q^{35} +(-4.18131 + 4.30310i) q^{36} +(-2.82757 - 6.82635i) q^{37} +(-0.656341 + 3.80076i) q^{38} +(0.149615 - 0.686701i) q^{39} +(-7.20368 - 4.05787i) q^{40} +(3.81949 - 3.81949i) q^{41} +(4.27535 - 10.5348i) q^{42} +(2.07136 + 5.00071i) q^{43} +(-0.401541 + 0.444469i) q^{44} +(-6.42221 + 5.97156i) q^{45} +(-3.52686 + 5.57945i) q^{46} +5.44085i q^{47} +(-3.35691 + 6.06062i) q^{48} +14.5435i q^{49} +(-4.23765 - 2.67868i) q^{50} +(2.41585 - 0.435062i) q^{51} +(-0.0411259 - 0.810493i) q^{52} +(-1.85159 - 4.47012i) q^{53} +(5.04240 + 5.34548i) q^{54} +(-0.619053 + 0.619053i) q^{55} +(1.57553 - 13.0333i) q^{56} +(4.61558 + 1.00562i) q^{57} +(2.36951 + 0.409184i) q^{58} +(-1.37699 - 3.32434i) q^{59} +(-5.34901 + 8.59809i) q^{60} +(-10.9629 - 4.54098i) q^{61} +(5.74883 - 1.29581i) q^{62} +(-12.6624 - 5.79262i) q^{63} +(-1.90631 + 7.76955i) q^{64} -1.18613i q^{65} +(0.522449 + 0.515003i) q^{66} +(4.19888 - 10.1370i) q^{67} +(2.56036 - 1.21601i) q^{68} +(6.63900 + 4.61272i) q^{69} +(3.26517 - 18.9080i) q^{70} +(3.77857 - 3.77857i) q^{71} +(7.23681 + 4.43042i) q^{72} +(-3.89137 - 3.89137i) q^{73} +(-8.53836 + 6.02369i) q^{74} +(-3.50340 + 5.04239i) q^{75} +(5.44763 - 0.276423i) q^{76} +(-1.28429 - 0.531970i) q^{77} +(-0.993899 + 0.00713300i) q^{78} +4.81995 q^{79} +(-3.35814 + 11.2001i) q^{80} +(6.80935 - 5.88497i) q^{81} +(-6.45711 - 4.08164i) q^{82} +(-3.60399 + 8.70081i) q^{83} +(-15.8634 - 2.62229i) q^{84} +(3.82744 - 1.58538i) q^{85} +(6.25486 - 4.41271i) q^{86} +(0.626933 - 2.87750i) q^{87} +(0.738056 + 0.415751i) q^{88} +(-3.69926 - 3.69926i) q^{89} +(10.2355 + 7.00313i) q^{90} +(1.74001 - 0.720735i) q^{91} +(8.79416 + 3.13063i) q^{92} +(-1.27920 - 7.10323i) q^{93} +(7.50620 - 1.69193i) q^{94} +7.97242 q^{95} +(9.40513 + 2.74655i) q^{96} +10.9958 q^{97} +(20.0643 - 4.52256i) q^{98} +(0.657990 - 0.611818i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 56 q - 4 q^{3} - 8 q^{4} - 4 q^{6} - 8 q^{7} - 4 q^{9}+O(q^{10}) $ 56 * q - 4 * q^3 - 8 * q^4 - 4 * q^6 - 8 * q^7 - 4 * q^9	$ 56 q - 4 q^{3} - 8 q^{4} - 4 q^{6} - 8 q^{7} - 4 q^{9} - 16 q^{10} - 4 q^{12} - 8 q^{13} - 8 q^{15} - 40 q^{16} - 4 q^{18} - 8 q^{19} - 4 q^{21} - 24 q^{22} + 16 q^{24} - 8 q^{25} - 28 q^{27} - 8 q^{28} + 44 q^{30} - 8 q^{33} - 24 q^{34} + 48 q^{36} - 8 q^{37} - 28 q^{39} + 24 q^{40} + 56 q^{42} - 8 q^{43} - 4 q^{45} + 24 q^{46} + 48 q^{48} - 16 q^{51} + 48 q^{52} + 40 q^{54} + 24 q^{55} - 4 q^{57} + 96 q^{58} + 8 q^{60} - 40 q^{61} + 40 q^{64} - 28 q^{66} + 56 q^{67} - 4 q^{69} + 40 q^{70} - 64 q^{72} - 8 q^{73} + 16 q^{75} + 48 q^{76} - 92 q^{78} + 16 q^{79} - 48 q^{82} - 136 q^{84} - 48 q^{85} + 52 q^{87} - 48 q^{88} - 136 q^{90} + 40 q^{91} + 8 q^{93} - 64 q^{94} - 104 q^{96} - 16 q^{97} + 60 q^{99}+O(q^{100}) $ 56 * q - 4 * q^3 - 8 * q^4 - 4 * q^6 - 8 * q^7 - 4 * q^9 - 16 * q^10 - 4 * q^12 - 8 * q^13 - 8 * q^15 - 40 * q^16 - 4 * q^18 - 8 * q^19 - 4 * q^21 - 24 * q^22 + 16 * q^24 - 8 * q^25 - 28 * q^27 - 8 * q^28 + 44 * q^30 - 8 * q^33 - 24 * q^34 + 48 * q^36 - 8 * q^37 - 28 * q^39 + 24 * q^40 + 56 * q^42 - 8 * q^43 - 4 * q^45 + 24 * q^46 + 48 * q^48 - 16 * q^51 + 48 * q^52 + 40 * q^54 + 24 * q^55 - 4 * q^57 + 96 * q^58 + 8 * q^60 - 40 * q^61 + 40 * q^64 - 28 * q^66 + 56 * q^67 - 4 * q^69 + 40 * q^70 - 64 * q^72 - 8 * q^73 + 16 * q^75 + 48 * q^76 - 92 * q^78 + 16 * q^79 - 48 * q^82 - 136 * q^84 - 48 * q^85 + 52 * q^87 - 48 * q^88 - 136 * q^90 + 40 * q^91 + 8 * q^93 - 64 * q^94 - 104 * q^96 - 16 * q^97 + 60 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/96\mathbb{Z}\right)^\times$.

$n$	$31$	$37$	$65$
$\chi(n)$	$-1$	$e\left(\frac{3}{8}\right)$	$-1$

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 $

$2$	−0.310967	−	1.37960i	−0.219887	−	0.975525i
$2$	−0.310967	−	1.37960i	−0.219887	−	0.975525i
$3$	−1.70463	+	0.306981i	−0.984168	+	0.177236i
$3$	−1.70463	+	0.306981i	−0.984168	+	0.177236i
$4$	−1.80660	+	0.858022i	−0.903299	+	0.429011i
$5$	−2.70066	+	1.11865i	−1.20777	+	0.500275i	−0.893502	−	0.449059i	$-0.851759\pi$
$5$	−2.70066	+	1.11865i	−1.20777	+	0.500275i	−0.314269	+	0.949334i	$0.601759\pi$
$6$	0.953596	+	2.25625i	0.389304	+	0.921109i
$7$	−3.28204	−	3.28204i	−1.24049	−	1.24049i	−0.959797	−	0.280697i	$-0.909435\pi$
$7$	−3.28204	−	3.28204i	−1.24049	−	1.24049i	−0.280697	−	0.959797i	$-0.590565\pi$
$8$	1.74552	+	2.22557i	0.617135	+	0.786857i
$9$	2.81152	−	1.04658i	0.937175	−	0.348860i
$10$	2.38311	+	3.37797i	0.753604	+	1.06821i
$11$	0.276697	−	0.114612i	0.0834272	−	0.0345567i	−0.340580	−	0.940216i	$-0.610623\pi$
$11$	0.276697	−	0.114612i	0.0834272	−	0.0345567i	0.424007	+	0.905659i	$0.360623\pi$
$12$	2.81619	−	2.01720i	0.812963	−	0.582316i
$13$	−0.155281	+	0.374881i	−0.0430671	+	0.103973i	−0.943949	−	0.330091i	$-0.892921\pi$
$13$	−0.155281	+	0.374881i	−0.0430671	+	0.103973i	0.900882	+	0.434064i	$0.142921\pi$
$14$	−3.50730	+	5.54851i	−0.937364	+	1.48290i
$15$	4.26022	−	2.73593i	1.09998	−	0.706415i
$16$	2.52760	−	3.10020i	0.631899	−	0.775050i
$17$	−1.41723			−0.343728			−0.171864	−	0.985121i	$-0.554979\pi$
$17$	−1.41723			−0.343728			−0.171864	+	0.985121i	$0.554979\pi$
$18$	−2.31815	−	3.55333i	−0.546394	−	0.837528i
$19$	−2.51972	−	1.04370i	−0.578062	−	0.239441i	0.0744431	−	0.997225i	$-0.476282\pi$
$19$	−2.51972	−	1.04370i	−0.578062	−	0.239441i	−0.652506	+	0.757784i	$0.726282\pi$
$20$	3.91918	−	4.33817i	0.876355	−	0.970045i
$21$	6.60218	+	4.58713i	1.44071	+	1.00099i
$22$	−0.244162	−	0.346091i	−0.0520555	−	0.0737868i
$23$	−3.30034	−	3.30034i	−0.688169	−	0.688169i	0.273658	−	0.961827i	$-0.411766\pi$
$23$	−3.30034	−	3.30034i	−0.688169	−	0.688169i	−0.961827	+	0.273658i	$0.911766\pi$
$24$	−3.65867	−	3.25793i	−0.746824	−	0.665022i
$25$	2.50664	−	2.50664i	0.501328	−	0.501328i
$26$	0.565473	+	0.0976497i	0.110898	+	0.0191507i
$27$	−4.47133	+	2.64711i	−0.860508	+	0.509438i
$28$	8.74538	+	3.11326i	1.65272	+	0.588352i
$29$	−0.650676	+	1.57087i	−0.120827	+	0.291703i	−0.972708	−	0.232033i	$-0.925462\pi$
$29$	−0.650676	+	1.57087i	−0.120827	+	0.291703i	0.851880	+	0.523736i	$0.175462\pi$
$30$	−5.09929	−	5.02661i	−0.930998	−	0.917730i
$31$			4.16702i			0.748419i	0.927344	+	0.374209i	$0.122086\pi$
$31$			4.16702i			0.748419i	−0.927344	+	0.374209i	$0.877914\pi$
$32$	−5.06304	−	2.52301i	−0.895028	−	0.446010i
$33$	−0.436482	+	0.280311i	−0.0759817	+	0.0487959i
$34$	0.440711	+	1.95521i	0.0755814	+	0.335315i
$35$	12.5351	+	5.19221i	2.11882	+	0.877644i
$36$	−4.18131	+	4.30310i	−0.696885	+	0.717183i
$37$	−2.82757	−	6.82635i	−0.464849	−	1.12225i	−0.966383	−	0.257107i	$-0.917231\pi$
$37$	−2.82757	−	6.82635i	−0.464849	−	1.12225i	0.501534	−	0.865138i	$-0.332769\pi$
$38$	−0.656341	+	3.80076i	−0.106473	+	0.616565i
$39$	0.149615	−	0.686701i	0.0239575	−	0.109960i
$40$	−7.20368	−	4.05787i	−1.13900	−	0.641606i
$41$	3.81949	−	3.81949i	0.596504	−	0.596504i	−0.342877	−	0.939380i	$-0.611401\pi$
$41$	3.81949	−	3.81949i	0.596504	−	0.596504i	0.939380	+	0.342877i	$0.111401\pi$
$42$	4.27535	−	10.5348i	0.659701	−	1.62556i
$43$	2.07136	+	5.00071i	0.315880	+	0.762602i	0.999464	+	0.0327301i	$0.0104202\pi$
$43$	2.07136	+	5.00071i	0.315880	+	0.762602i	−0.683584	+	0.729872i	$0.739580\pi$
$44$	−0.401541	+	0.444469i	−0.0605345	+	0.0670062i
$45$	−6.42221	+	5.97156i	−0.957367	+	0.890188i
$46$	−3.52686	+	5.57945i	−0.520007	+	0.822645i
$47$			5.44085i			0.793629i	0.917899	+	0.396815i	$0.129884\pi$
$47$			5.44085i			0.793629i	−0.917899	+	0.396815i	$0.870116\pi$
$48$	−3.35691	+	6.06062i	−0.484529	+	0.874775i
$49$			14.5435i			2.07765i
$50$	−4.23765	−	2.67868i	−0.599294	−	0.378823i
$51$	2.41585	−	0.435062i	0.338286	−	0.0609209i
$52$	−0.0411259	−	0.810493i	−0.00570314	−	0.112395i
$53$	−1.85159	−	4.47012i	−0.254335	−	0.614019i	0.744210	−	0.667946i	$-0.232826\pi$
$53$	−1.85159	−	4.47012i	−0.254335	−	0.614019i	−0.998545	+	0.0539269i	$0.982826\pi$
$54$	5.04240	+	5.34548i	0.686184	+	0.727428i
$55$	−0.619053	+	0.619053i	−0.0834731	+	0.0834731i
$56$	1.57553	−	13.0333i	0.210540	−	1.74164i
$57$	4.61558	+	1.00562i	0.611348	+	0.133197i
$58$	2.36951	+	0.409184i	0.311132	+	0.0537284i
$59$	−1.37699	−	3.32434i	−0.179268	−	0.432792i	0.808545	−	0.588434i	$-0.200255\pi$
$59$	−1.37699	−	3.32434i	−0.179268	−	0.432792i	−0.987814	+	0.155642i	$0.950255\pi$
$60$	−5.34901	+	8.59809i	−0.690554	+	1.11001i
$61$	−10.9629	−	4.54098i	−1.40366	−	0.581413i	−0.452958	−	0.891532i	$-0.649631\pi$
$61$	−10.9629	−	4.54098i	−1.40366	−	0.581413i	−0.950698	+	0.310119i	$0.899631\pi$
$62$	5.74883	−	1.29581i	0.730102	−	0.164568i
$63$	−12.6624	−	5.79262i	−1.59532	−	0.729801i
$64$	−1.90631	+	7.76955i	−0.238289	+	0.971194i
$65$		−	1.18613i		−	0.147121i
$66$	0.522449	+	0.515003i	0.0643090	+	0.0633925i
$67$	4.19888	−	10.1370i	0.512974	−	1.23843i	−0.429170	−	0.903224i	$-0.641194\pi$
$67$	4.19888	−	10.1370i	0.512974	−	1.23843i	0.942145	−	0.335206i	$-0.108806\pi$
$68$	2.56036	−	1.21601i	0.310489	−	0.147463i
$69$	6.63900	+	4.61272i	0.799242	+	0.555306i
$70$	3.26517	−	18.9080i	0.390263	−	2.25994i
$71$	3.77857	−	3.77857i	0.448434	−	0.448434i	−0.446400	−	0.894834i	$-0.647294\pi$
$71$	3.77857	−	3.77857i	0.448434	−	0.448434i	0.894834	+	0.446400i	$0.147294\pi$
$72$	7.23681	+	4.43042i	0.852866	+	0.522130i
$73$	−3.89137	−	3.89137i	−0.455450	−	0.455450i	0.441708	−	0.897159i	$-0.354373\pi$
$73$	−3.89137	−	3.89137i	−0.455450	−	0.455450i	−0.897159	+	0.441708i	$0.854373\pi$
$74$	−8.53836	+	6.02369i	−0.992564	+	0.700239i
$75$	−3.50340	+	5.04239i	−0.404538	+	0.582245i
$76$	5.44763	−	0.276423i	0.624886	−	0.0317079i
$77$	−1.28429	−	0.531970i	−0.146358	−	0.0606236i
$78$	−0.993899	+	0.00713300i	−0.112537	+	0.000807653i
$79$	4.81995			0.542287			0.271143	−	0.962539i	$-0.412598\pi$
$79$	4.81995			0.542287			0.271143	+	0.962539i	$0.412598\pi$
$80$	−3.35814	+	11.2001i	−0.375451	+	1.25221i
$81$	6.80935	−	5.88497i	0.756594	−	0.653885i
$82$	−6.45711	−	4.08164i	−0.713068	−	0.450741i
$83$	−3.60399	+	8.70081i	−0.395590	+	0.955038i	0.593109	+	0.805122i	$0.297900\pi$
$83$	−3.60399	+	8.70081i	−0.395590	+	0.955038i	−0.988699	+	0.149916i	$0.952100\pi$
$84$	−15.8634	−	2.62229i	−1.73083	−	0.286116i
$85$	3.82744	−	1.58538i	0.415145	−	0.171959i
$86$	6.25486	−	4.41271i	0.674479	−	0.475835i
$87$	0.626933	−	2.87750i	0.0672143	−	0.308500i
$88$	0.738056	+	0.415751i	0.0786770	+	0.0443192i
$89$	−3.69926	−	3.69926i	−0.392121	−	0.392121i	0.483322	−	0.875443i	$-0.339430\pi$
$89$	−3.69926	−	3.69926i	−0.392121	−	0.392121i	−0.875443	+	0.483322i	$0.839430\pi$
$90$	10.2355	+	7.00313i	1.07891	+	0.738195i
$91$	1.74001	−	0.720735i	0.182402	−	0.0755536i
$92$	8.79416	+	3.13063i	0.916854	+	0.326390i
$93$	−1.27920	−	7.10323i	−0.132647	−	0.736570i
$94$	7.50620	−	1.69193i	0.774206	−	0.174509i
$95$	7.97242			0.817953
$96$	9.40513	+	2.74655i	0.959907	+	0.280318i
$97$	10.9958			1.11646			0.558229	−	0.829687i	$-0.311481\pi$
$97$	10.9958			1.11646			0.558229	+	0.829687i	$0.311481\pi$
$98$	20.0643	−	4.52256i	2.02680	−	0.456848i
$99$	0.657990	−	0.611818i	0.0661305	−	0.0614900i
$100$	−2.37774	+	6.67925i	−0.237774	+	0.667925i
$101$	−2.51499	+	1.04174i	−0.250251	+	0.103657i	−0.504283	−	0.863538i	$-0.668243\pi$
$101$	−2.51499	+	1.04174i	−0.250251	+	0.103657i	0.254032	+	0.967196i	$0.418243\pi$
$102$	−1.35146	−	3.19762i	−0.133815	−	0.316611i
$103$	−0.332885	−	0.332885i	−0.0328001	−	0.0328001i	0.690517	−	0.723317i	$-0.257383\pi$
$103$	−0.332885	−	0.332885i	−0.0328001	−	0.0328001i	−0.723317	+	0.690517i	$0.757383\pi$
$104$	−1.10537	+	0.308774i	−0.108390	+	0.0302778i
$105$	−22.9616	−	5.00275i	−2.24082	−	0.488219i
$106$	−5.59121	+	3.94451i	−0.543066	+	0.383125i
$107$	0.394269	−	0.163312i	0.0381154	−	0.0157879i	−0.363544	−	0.931577i	$-0.618433\pi$
$107$	0.394269	−	0.163312i	0.0381154	−	0.0157879i	0.401660	+	0.915789i	$0.368433\pi$
$108$	5.80661	−	8.61877i	0.558742	−	0.829342i
$109$	1.81782	−	4.38860i	0.174115	−	0.420352i	−0.812598	−	0.582825i	$-0.801947\pi$
$109$	1.81782	−	4.38860i	0.174115	−	0.420352i	0.986713	+	0.162474i	$0.0519472\pi$
$110$	1.04655	+	0.661541i	0.0997848	+	0.0630755i
$111$	6.91552	+	10.7684i	0.656392	+	1.02209i
$112$	−18.4706	+	1.87931i	−1.74531	+	0.177578i
$113$	−18.5323			−1.74337			−0.871687	−	0.490063i	$-0.836974\pi$
$113$	−18.5323			−1.74337			−0.871687	+	0.490063i	$0.836974\pi$
$114$	−0.0479436	−	6.68037i	−0.00449033	−	0.625674i
$115$	12.6050	+	5.22117i	1.17542	+	0.486876i
$116$	−0.172331	−	3.39623i	−0.0160005	−	0.315332i
$117$	−0.0442333	+	1.21650i	−0.00408937	+	0.112465i
$118$	−4.15806	+	2.93345i	−0.382781	+	0.270046i
$119$	4.65139	+	4.65139i	0.426392	+	0.426392i
$120$	13.5253	+	4.70578i	1.23469	+	0.429577i
$121$	−7.71475	+	7.71475i	−0.701341	+	0.701341i
$122$	−2.85564	+	16.5365i	−0.258538	+	1.49715i
$123$	−5.33830	+	7.68333i	−0.481339	+	0.692782i
$124$	−3.57539	−	7.52813i	−0.321080	−	0.676046i
$125$	1.62772	−	3.92966i	0.145587	−	0.351479i
$126$	−4.05390	+	19.2704i	−0.361150	+	1.71675i
$127$			4.80013i			0.425943i	0.977058	+	0.212971i	$0.0683141\pi$
$127$			4.80013i			0.425943i	−0.977058	+	0.212971i	$0.931686\pi$
$128$	11.3117	+	0.213874i	0.999821	+	0.0189040i
$129$	−5.06603	−	7.88850i	−0.446039	−	0.694543i
$130$	−1.63638	+	0.368847i	−0.143520	+	0.0323500i
$131$	−20.2118	−	8.37202i	−1.76592	−	0.731467i	−0.995589	−	0.0938185i	$-0.970093\pi$
$131$	−20.2118	−	8.37202i	−1.76592	−	0.731467i	−0.770328	−	0.637648i	$-0.779907\pi$
$132$	0.548035	−	0.880920i	0.0477003	−	0.0766743i
$133$	4.84434	+	11.6953i	0.420057	+	1.01411i
$134$	−15.2907	−	2.64050i	−1.32092	−	0.228105i
$135$	9.11434	−	12.1508i	0.784437	−	1.04577i
$136$	−2.47380	−	3.15414i	−0.212127	−	0.270465i
$137$	12.7302	−	12.7302i	1.08762	−	1.08762i	0.0918436	−	0.995773i	$-0.470724\pi$
$137$	12.7302	−	12.7302i	1.08762	−	1.08762i	0.995773	−	0.0918436i	$-0.0292760\pi$
$138$	4.29920	−	10.5936i	0.365972	−	0.901785i
$139$	0.193431	+	0.466984i	0.0164066	+	0.0396091i	0.931871	−	0.362791i	$-0.118176\pi$
$139$	0.193431	+	0.466984i	0.0164066	+	0.0396091i	−0.915464	+	0.402400i	$0.868176\pi$
$140$	−27.1009	+	1.37515i	−2.29045	+	0.116222i
$141$	−1.67024	−	9.27463i	−0.140660	−	0.781065i
$142$	−6.38793	−	4.03791i	−0.536063	−	0.338854i
$143$			0.121525i			0.0101624i
$144$	3.86180	−	11.3616i	0.321816	−	0.946802i
$145$		−	4.97026i		−	0.412758i
$146$	−4.15845	+	6.57862i	−0.344156	+	0.544451i
$147$	−4.46459	−	24.7913i	−0.368233	−	2.04475i
$148$	10.9654	+	9.90636i	0.901353	+	0.814298i
$149$	4.31949	+	10.4282i	0.353866	+	0.854308i	0.996136	+	0.0878294i	$0.0279930\pi$
$149$	4.31949	+	10.4282i	0.353866	+	0.854308i	−0.642269	+	0.766479i	$0.722007\pi$
$150$	8.04593	+	3.26528i	0.656947	+	0.266609i
$151$	−13.7687	+	13.7687i	−1.12048	+	1.12048i	−0.128814	+	0.991669i	$0.541117\pi$
$151$	−13.7687	+	13.7687i	−1.12048	+	1.12048i	−0.991669	+	0.128814i	$0.958883\pi$
$152$	−2.07539	−	7.42960i	−0.168336	−	0.602620i
$153$	−3.98457	+	1.48324i	−0.322133	+	0.119913i
$154$	−0.334534	+	1.93723i	−0.0269575	+	0.156106i
$155$	−4.66143	−	11.2537i	−0.374415	−	0.903918i
$156$	0.318911	+	1.36897i	0.0255333	+	0.109605i
$157$	7.94660	+	3.29159i	0.634208	+	0.262697i	0.676540	−	0.736406i	$-0.263479\pi$
$157$	7.94660	+	3.29159i	0.634208	+	0.262697i	−0.0423321	+	0.999104i	$0.513479\pi$
$158$	−1.49885	−	6.64961i	−0.119242	−	0.529015i
$159$	4.52851	+	7.05151i	0.359135	+	0.559221i
$160$	16.4959	+	1.15003i	1.30412	+	0.0909180i
$161$			21.6637i			1.70734i
$162$	−10.2364	−	7.56415i	−0.804247	−	0.594296i
$163$	4.77631	−	11.5310i	0.374110	−	0.903181i	−0.618935	−	0.785442i	$-0.712435\pi$
$163$	4.77631	−	11.5310i	0.374110	−	0.903181i	0.993045	−	0.117739i	$-0.0375645\pi$
$164$	−3.62308	+	10.1775i	−0.282915	+	0.794728i
$165$	0.865219	−	1.24529i	0.0673572	−	0.0969460i
$166$	13.1244	+	2.26641i	1.01865	+	0.175907i
$167$	−14.7585	+	14.7585i	−1.14205	+	1.14205i	−0.153970	+	0.988076i	$0.549206\pi$
$167$	−14.7585	+	14.7585i	−1.14205	+	1.14205i	−0.988076	+	0.153970i	$0.950794\pi$
$168$	1.31526	+	22.7005i	0.101475	+	1.75139i
$169$	9.07596	+	9.07596i	0.698151	+	0.698151i
$170$	−3.37740	−	4.78734i	−0.259035	−	0.367173i
$171$	−8.17656	−	0.297309i	−0.625277	−	0.0227358i
$172$	−8.03284	−	7.25701i	−0.612499	−	0.553342i
$173$	7.60827	+	3.15145i	0.578446	+	0.239600i	0.652671	−	0.757641i	$-0.273648\pi$
$173$	7.60827	+	3.15145i	0.578446	+	0.239600i	−0.0742253	+	0.997241i	$0.523648\pi$
$174$	−4.16475	+	0.0298895i	−0.315729	+	0.00226592i
$175$	−16.4538			−1.24379
$176$	0.344059	−	1.14751i	0.0259344	−	0.0864966i
$177$	3.36776	+	5.24406i	0.253136	+	0.394167i
$178$	−3.95316	+	6.25386i	−0.296302	+	0.468747i
$179$	−1.38731	+	3.34926i	−0.103692	+	0.250335i	−0.967208	−	0.253987i	$-0.918258\pi$
$179$	−1.38731	+	3.34926i	−0.103692	+	0.250335i	0.863515	+	0.504323i	$0.168258\pi$
$180$	6.47863	−	16.2986i	0.482889	−	1.21483i
$181$	6.51464	−	2.69845i	0.484229	−	0.200574i	−0.127194	−	0.991878i	$-0.540597\pi$
$181$	6.51464	−	2.69845i	0.484229	−	0.200574i	0.611424	+	0.791303i	$0.290597\pi$
$182$	−1.53541	−	2.17639i	−0.113812	−	0.161325i
$183$	20.0817	+	4.37529i	1.48448	+	0.323431i
$184$	1.58432	−	13.1060i	0.116798	−	0.966184i
$185$	15.2726	+	15.2726i	1.12286	+	1.12286i
$186$	−9.40183	+	3.97365i	−0.689376	+	0.291362i
$187$	−0.392142	+	0.162431i	−0.0286763	+	0.0118781i
$188$	−4.66837	−	9.82943i	−0.340476	−	0.716885i
$189$	23.3630	+	5.98714i	1.69941	+	0.435500i
$190$	−2.47916	−	10.9988i	−0.179857	−	0.797934i
$191$	18.8097			1.36102			0.680511	−	0.732737i	$-0.261758\pi$
$191$	18.8097			1.36102			0.680511	+	0.732737i	$0.261758\pi$
$192$	0.864450	−	13.8294i	0.0623863	−	0.998052i
$193$	−11.1498			−0.802582			−0.401291	−	0.915951i	$-0.631438\pi$
$193$	−11.1498			−0.802582			−0.401291	+	0.915951i	$0.631438\pi$
$194$	−3.41935	−	15.1699i	−0.245495	−	1.08913i
$195$	0.364119	+	2.02191i	0.0260751	+	0.144792i
$196$	−12.4787	−	26.2743i	−0.891333	−	1.87674i
$197$	14.7643	−	6.11558i	1.05191	−	0.435717i	0.211340	−	0.977413i	$-0.432217\pi$
$197$	14.7643	−	6.11558i	1.05191	−	0.435717i	0.840575	+	0.541696i	$0.182217\pi$
$198$	−1.04868	−	0.717508i	−0.0745263	−	0.0509911i
$199$	0.686194	+	0.686194i	0.0486430	+	0.0486430i	0.731010	−	0.682367i	$-0.239049\pi$
$199$	0.686194	+	0.686194i	0.0486430	+	0.0486430i	−0.682367	+	0.731010i	$0.739049\pi$
$200$	9.95410	+	1.20331i	0.703861	+	0.0850867i
$201$	−4.04566	+	18.5688i	−0.285359	+	1.30974i
$202$	2.21927	+	3.14574i	0.156147	+	0.221333i
$203$	7.29119	−	3.02011i	0.511742	−	0.211970i
$204$	−3.99117	+	2.85883i	−0.279438	+	0.200158i
$205$	−6.04246	+	14.5878i	−0.422024	+	1.01886i
$206$	−0.355732	+	0.562765i	−0.0247850	+	0.0392097i
$207$	−12.7331	−	5.82492i	−0.885009	−	0.404860i
$208$	0.769719	+	1.42895i	0.0533704	+	0.0990798i
$209$	−0.816817			−0.0565004
$210$	0.238510	+	33.2336i	0.0164588	+	2.29333i
$211$	2.25868	+	0.935575i	0.155494	+	0.0644076i	0.459073	−	0.888399i	$-0.348182\pi$
$211$	2.25868	+	0.935575i	0.155494	+	0.0644076i	−0.303579	+	0.952806i	$0.598182\pi$
$212$	7.18054	+	6.48702i	0.493161	+	0.445530i
$213$	−5.28111	+	7.60101i	−0.361856	+	0.520813i
$214$	−0.347910	−	0.493149i	−0.0237826	−	0.0337110i
$215$	−11.1881	−	11.1881i	−0.763021	−	0.763021i
$216$	−13.6961	−	5.33066i	−0.931904	−	0.362705i
$217$	13.6763	−	13.6763i	0.928409	−	0.928409i
$218$	−6.61980	−	1.14315i	−0.448349	−	0.0774240i
$219$	7.82792	+	5.43876i	0.528962	+	0.367518i
$220$	0.587219	−	1.64954i	0.0395903	−	0.111212i
$221$	0.220068	−	0.531291i	0.0148034	−	0.0357385i
$222$	12.7056	−	12.8893i	0.852743	−	0.865071i
$223$		−	10.3472i		−	0.692900i	−0.938068	−	0.346450i	$-0.887387\pi$
$223$		−	10.3472i		−	0.692900i	0.938068	−	0.346450i	$-0.112613\pi$
$224$	8.33646	+	24.8977i	0.557003	+	1.66355i
$225$	4.42409	−	9.67088i	0.294939	−	0.644725i
$226$	5.76294	+	25.5672i	0.383345	+	1.70071i
$227$	10.4804	+	4.34114i	0.695611	+	0.288131i	0.702336	−	0.711846i	$-0.252141\pi$
$227$	10.4804	+	4.34114i	0.695611	+	0.288131i	−0.00672494	+	0.999977i	$0.502141\pi$
$228$	−9.20134	+	2.14352i	−0.609374	+	0.141958i
$229$	−7.39471	−	17.8524i	−0.488656	−	1.17972i	−0.955396	−	0.295326i	$-0.904572\pi$
$229$	−7.39471	−	17.8524i	−0.488656	−	1.17972i	0.466740	−	0.884395i	$-0.345428\pi$
$230$	3.28338	−	19.0135i	0.216500	−	1.25371i
$231$	2.35254	+	0.512559i	0.154786	+	0.0337239i
$232$	−4.63185	+	1.29386i	−0.304096	+	0.0849463i
$233$	−15.9703	+	15.9703i	−1.04625	+	1.04625i	−0.0473714	+	0.998877i	$0.515084\pi$
$233$	−15.9703	+	15.9703i	−1.04625	+	1.04625i	−0.998877	+	0.0473714i	$0.984916\pi$
$234$	1.69204	−	0.317267i	0.110612	−	0.0207404i
$235$	−6.08640	−	14.6939i	−0.397033	−	0.958522i
$236$	5.34001	+	4.82426i	0.347605	+	0.314033i
$237$	−8.21623	+	1.47963i	−0.533702	+	0.0961126i
$238$	4.97063	−	7.86349i	0.322198	−	0.509715i
$239$		−	22.5155i		−	1.45641i	−0.685361	−	0.728204i	$-0.740355\pi$
$239$		−	22.5155i		−	1.45641i	0.685361	−	0.728204i	$-0.259645\pi$
$240$	2.28617	−	20.1229i	0.147571	−	1.29893i
$241$		−	21.7886i		−	1.40353i	−0.712409	−	0.701765i	$-0.752396\pi$
$241$		−	21.7886i		−	1.40353i	0.712409	−	0.701765i	$-0.247604\pi$
$242$	13.0423	+	8.24424i	0.838392	+	0.529960i
$243$	−9.80084	+	12.1220i	−0.628724	+	0.777628i
$244$	23.7018	−	1.20268i	1.51735	−	0.0769934i
$245$	−16.2691	−	39.2771i	−1.03939	−	2.50932i
$246$	12.2600	+	4.97547i	0.781667	+	0.317224i
$247$	0.782526	−	0.782526i	0.0497909	−	0.0497909i
$248$	−9.27399	+	7.27362i	−0.588899	+	0.461875i
$249$	3.47249	−	15.9380i	0.220060	−	1.01003i
$250$	−5.92753	−	1.02361i	−0.374890	−	0.0647385i
$251$	−5.96821	−	14.4085i	−0.376710	−	0.909458i	−0.992578	−	0.121609i	$-0.961195\pi$
$251$	−5.96821	−	14.4085i	−0.376710	−	0.909458i	0.615868	−	0.787849i	$-0.288805\pi$
$252$	27.8461	−	0.399712i	1.75414	−	0.0251795i
$253$	−1.29145	−	0.534937i	−0.0811928	−	0.0336312i
$254$	6.62226	−	1.49268i	0.415518	−	0.0936593i
$255$	−6.03769	+	3.87744i	−0.378095	+	0.242815i
$256$	−3.22250	−	15.6721i	−0.201406	−	0.979508i
$257$			11.8781i			0.740934i	0.928846	+	0.370467i	$0.120802\pi$
$257$			11.8781i			0.740934i	−0.928846	+	0.370467i	$0.879198\pi$
$258$	−9.30761	+	9.44217i	−0.579466	+	0.587844i
$259$	−13.1242	+	31.6845i	−0.815495	+	1.96878i
$260$	1.01772	+	2.14286i	0.0631166	+	0.132894i
$261$	−0.185352	+	5.09752i	−0.0114730	+	0.315529i
$262$	−5.26483	+	30.4877i	−0.325262	+	1.88354i
$263$	−3.29543	+	3.29543i	−0.203205	+	0.203205i	−0.801372	−	0.598167i	$-0.795896\pi$
$263$	−3.29543	+	3.29543i	−0.203205	+	0.203205i	0.598167	+	0.801372i	$0.295896\pi$
$264$	−1.38574	−	0.482132i	−0.0852864	−	0.0296732i
$265$	10.0010	+	10.0010i	0.614357	+	0.614357i
$266$	14.6284	−	10.3201i	0.896923	−	0.632766i
$267$	7.44148	+	5.17027i	0.455411	+	0.316415i
$268$	1.11207	+	21.9162i	0.0679304	+	1.33874i
$269$	26.9975	+	11.1827i	1.64607	+	0.681824i	0.996890	−	0.0788107i	$-0.0251123\pi$
$269$	26.9975	+	11.1827i	1.64607	+	0.681824i	0.649180	+	0.760635i	$0.275112\pi$
$270$	−19.5975	−	8.79565i	−1.19267	−	0.535286i
$271$	3.49827			0.212505			0.106252	−	0.994339i	$-0.466115\pi$
$271$	3.49827			0.212505			0.106252	+	0.994339i	$0.466115\pi$
$272$	−3.58218	+	4.39369i	−0.217201	+	0.266407i
$273$	−2.74482	+	1.76274i	−0.166124	+	0.106686i
$274$	−21.5213	−	13.6040i	−1.30015	−	0.821845i
$275$	0.406289	−	0.980869i	0.0245002	−	0.0591486i
$276$	−15.9518	−	2.63692i	−0.960187	−	0.158724i
$277$	−10.1905	+	4.22105i	−0.612289	+	0.253619i	−0.667207	−	0.744872i	$-0.732510\pi$
$277$	−10.1905	+	4.22105i	−0.612289	+	0.253619i	0.0549177	+	0.998491i	$0.482510\pi$
$278$	0.584101	−	0.412075i	0.0350321	−	0.0247146i
$279$	4.36112	+	11.7157i	0.261093	+	0.701399i
$280$	10.3247	+	36.9608i	0.617017	+	2.20883i
$281$	−14.1081	−	14.1081i	−0.841616	−	0.841616i	0.147453	−	0.989069i	$-0.452893\pi$
$281$	−14.1081	−	14.1081i	−0.841616	−	0.841616i	−0.989069	+	0.147453i	$0.952893\pi$
$282$	−12.2759	+	5.18837i	−0.731020	+	0.308963i
$283$	17.2200	−	7.13275i	1.02362	−	0.423998i	0.193215	−	0.981156i	$-0.438108\pi$
$283$	17.2200	−	7.13275i	1.02362	−	0.423998i	0.830406	+	0.557159i	$0.188108\pi$
$284$	−3.58426	+	10.0685i	−0.212687	+	0.597453i
$285$	−13.5900	+	2.44738i	−0.805004	+	0.144971i
$286$	0.167656	−	0.0377904i	0.00991372	−	0.00223459i
$287$	−25.0714			−1.47992
$288$	−16.8754	−	1.79465i	−0.994393	−	0.105751i
$289$	−14.9915			−0.881851
$290$	−6.85698	+	1.54559i	−0.402655	+	0.0907601i
$291$	−18.7438	+	3.37552i	−1.09878	+	0.197876i
$292$	10.3690	+	3.69126i	0.606801	+	0.216015i
$293$	−21.6538	+	8.96928i	−1.26503	+	0.523991i	−0.911448	−	0.411414i	$-0.865035\pi$
$293$	−21.6538	+	8.96928i	−1.26503	+	0.523991i	−0.353577	+	0.935405i	$0.615035\pi$
$294$	−32.8138	+	13.8686i	−1.91374	+	0.808836i
$295$	7.43753	+	7.43753i	0.433030	+	0.433030i
$296$	10.2569	−	18.2085i	0.596172	−	1.05835i
$297$	−0.933812	+	1.24491i	−0.0541853	+	0.0722372i
$298$	13.0435	−	9.20199i	0.755589	−	0.533057i
$299$	1.74971	−	0.724755i	0.101189	−	0.0419137i
$300$	2.00277	−	12.1156i	0.115630	−	0.699492i
$301$	9.61423	−	23.2108i	0.554155	−	1.33785i
$302$	23.2770	+	14.7137i	1.33944	+	0.846680i
$303$	3.96733	−	2.54784i	0.227917	−	0.146370i
$304$	−9.60451	+	5.17357i	−0.550856	+	0.296725i
$305$	34.6868			1.98616
$306$	3.28535	+	5.03588i	0.187811	+	0.287882i
$307$	−19.7154	−	8.16639i	−1.12522	−	0.466081i	−0.259065	−	0.965860i	$-0.583415\pi$
$307$	−19.7154	−	8.16639i	−1.12522	−	0.466081i	−0.866153	+	0.499779i	$0.833415\pi$
$308$	2.77663	−	0.140892i	0.158213	−	0.00802805i
$309$	0.669635	+	0.465256i	0.0380942	+	0.0264675i
$310$	−14.0761	+	9.93045i	−0.799466	+	0.564012i
$311$	−10.5699	−	10.5699i	−0.599365	−	0.599365i	0.340779	−	0.940144i	$-0.389309\pi$
$311$	−10.5699	−	10.5699i	−0.599365	−	0.599365i	−0.940144	+	0.340779i	$0.889309\pi$
$312$	1.78946	−	0.865673i	0.101308	−	0.0490091i
$313$	−24.0589	+	24.0589i	−1.35989	+	1.35989i	−0.485846	+	0.874044i	$0.661489\pi$
$313$	−24.0589	+	24.0589i	−1.35989	+	1.35989i	−0.874044	+	0.485846i	$0.838511\pi$
$314$	2.06995	−	11.9867i	0.116814	−	0.676449i
$315$	40.6768	+	1.47905i	2.29188	+	0.0833352i
$316$	−8.70772	+	4.13562i	−0.489847	+	0.232647i
$317$	−8.93517	+	21.5714i	−0.501849	+	1.21157i	0.446626	+	0.894721i	$0.352625\pi$
$317$	−8.93517	+	21.5714i	−0.501849	+	1.21157i	−0.948475	+	0.316851i	$0.897375\pi$
$318$	8.32005	−	8.44033i	0.466565	−	0.473310i
$319$			0.509230i			0.0285114i
$320$	−3.54310	−	23.1154i	−0.198066	−	1.29219i
$321$	−0.621949	+	0.399419i	−0.0347138	+	0.0222934i
$322$	29.8872	−	6.73670i	1.66555	−	0.375421i
$323$	3.57101	+	1.47916i	0.198696	+	0.0823027i
$324$	−7.25233	+	16.4743i	−0.402907	+	0.915241i
$325$	0.550458	+	1.32892i	0.0305339	+	0.0737154i
$326$	−17.3935	−	3.00363i	−0.963338	−	0.166356i
$327$	−1.75149	+	8.03897i	−0.0968575	+	0.444556i
$328$	15.1675	+	1.83354i	0.837487	+	0.101240i
$329$	17.8571	−	17.8571i	0.984492	−	0.984492i
$330$	−1.98706	−	0.806411i	−0.109384	−	0.0443914i
$331$	−10.6785	−	25.7802i	−0.586943	−	1.41701i	−0.886411	−	0.462900i	$-0.846809\pi$
$331$	−10.6785	−	25.7802i	−0.586943	−	1.41701i	0.299467	−	0.954107i	$-0.403191\pi$
$332$	−0.954515	−	18.8112i	−0.0523858	−	1.03240i
$333$	−15.0941	−	16.2332i	−0.827151	−	0.889573i
$334$	24.9502	+	15.7714i	1.36522	+	0.862973i
$335$			32.0736i			1.75237i
$336$	30.9087	−	8.87367i	1.68621	−	0.484098i
$337$			7.72298i			0.420698i	0.977626	+	0.210349i	$0.0674600\pi$
$337$			7.72298i			0.420698i	−0.977626	+	0.210349i	$0.932540\pi$
$338$	9.69888	−	15.3435i	0.527550	−	0.834579i
$339$	31.5907	−	5.68907i	1.71577	−	0.308988i
$340$	−5.55437	+	6.14817i	−0.301228	+	0.333432i
$341$	0.477589	+	1.15300i	0.0258629	+	0.0624385i
$342$	2.13248	+	11.3728i	0.115311	+	0.614973i
$343$	24.7581	−	24.7581i	1.33681	−	1.33681i
$344$	−7.51382	+	13.3388i	−0.405118	+	0.719181i
$345$	−23.0897	−	5.03065i	−1.24311	−	0.270841i
$346$	1.98182	−	11.4764i	0.106543	−	0.616973i
$347$	2.88801	+	6.97227i	0.155037	+	0.374291i	0.982245	−	0.187604i	$-0.0600723\pi$
$347$	2.88801	+	6.97227i	0.155037	+	0.374291i	−0.827208	+	0.561896i	$0.810072\pi$
$348$	1.33634	+	5.73641i	0.0716352	+	0.307504i
$349$	3.70439	+	1.53441i	0.198292	+	0.0821351i	0.479619	−	0.877477i	$-0.340775\pi$
$349$	3.70439	+	1.53441i	0.198292	+	0.0821351i	−0.281328	+	0.959612i	$0.590775\pi$
$350$	5.11659	+	22.6996i	0.273493	+	1.21335i
$351$	−0.298041	−	2.08726i	−0.0159083	−	0.111410i
$352$	−1.69009	−	0.117827i	−0.0900823	−	0.00628019i
$353$		−	33.0427i		−	1.75869i	−0.476189	−	0.879343i	$-0.657982\pi$
$353$		−	33.0427i		−	1.75869i	0.476189	−	0.879343i	$-0.342018\pi$
$354$	6.18744	−	6.27690i	0.328859	−	0.333613i
$355$	−5.97773	+	14.4315i	−0.317265	+	0.765945i
$356$	9.85714	+	3.50904i	0.522427	+	0.185979i
$357$	−9.35679	−	6.50101i	−0.495214	−	0.344070i
$358$	5.05205	+	0.872422i	0.267009	+	0.0461090i
$359$	−1.02805	+	1.02805i	−0.0542584	+	0.0542584i	−0.733715	−	0.679457i	$-0.762215\pi$
$359$	−1.02805	+	1.02805i	−0.0542584	+	0.0542584i	0.679457	+	0.733715i	$0.262215\pi$
$360$	−24.5002	−	3.86959i	−1.29128	−	0.203945i
$361$	−8.17537	−	8.17537i	−0.430283	−	0.430283i
$362$	−5.74863	−	8.14847i	−0.302141	−	0.428274i
$363$	10.7825	−	15.5191i	0.565935	−	0.814540i
$364$	−2.52509	+	2.79504i	−0.132351	+	0.146500i
$365$	14.8623	+	6.15618i	0.777930	+	0.322229i
$366$	−0.208595	−	29.0653i	−0.0109034	−	1.51927i
$367$	11.6801			0.609694			0.304847	−	0.952401i	$-0.401395\pi$
$367$	11.6801			0.609694			0.304847	+	0.952401i	$0.401395\pi$
$368$	−18.5737	+	1.88979i	−0.968219	+	0.0985121i
$369$	6.74119	−	14.7360i	0.350932	−	0.767125i
$370$	16.3208	−	25.8193i	0.848478	−	1.34228i
$371$	−8.59414	+	20.7481i	−0.446185	+	1.07719i
$372$	8.40572	+	11.7351i	0.435816	+	0.608437i
$373$	−11.6155	+	4.81129i	−0.601427	+	0.249119i	−0.662558	−	0.749011i	$-0.730529\pi$
$373$	−11.6155	+	4.81129i	−0.601427	+	0.249119i	0.0611312	+	0.998130i	$0.480529\pi$
$374$	0.346033	+	0.490489i	0.0178929	+	0.0253626i
$375$	−1.56832	+	7.19829i	−0.0809879	+	0.371718i
$376$	−12.1090	+	9.49712i	−0.624473	+	0.489776i
$377$	−0.487851	−	0.487851i	−0.0251256	−	0.0251256i
$378$	0.994733	−	34.0934i	0.0511636	−	1.75358i
$379$	−15.2623	+	6.32186i	−0.783972	+	0.324732i	−0.738517	−	0.674234i	$-0.764474\pi$
$379$	−15.2623	+	6.32186i	−0.783972	+	0.324732i	−0.0454550	+	0.998966i	$0.514474\pi$
$380$	−14.4030	+	6.84051i	−0.738857	+	0.350911i
$381$	−1.47355	−	8.18244i	−0.0754923	−	0.419199i
$382$	−5.84921	−	25.9499i	−0.299271	−	1.32771i
$383$	28.9536			1.47946			0.739729	−	0.672905i	$-0.234954\pi$
$383$	28.9536			1.47946			0.739729	+	0.672905i	$0.234954\pi$
$384$	−19.3479	+	3.10790i	−0.987343	+	0.158599i
$385$	4.06351			0.207096
$386$	3.46723	+	15.3823i	0.176477	+	0.782939i
$387$	11.0573	+	11.8918i	0.562076	+	0.604493i
$388$	−19.8651	+	9.43467i	−1.00850	+	0.478973i
$389$	6.31149	−	2.61431i	0.320005	−	0.132551i	−0.216898	−	0.976194i	$-0.569594\pi$
$389$	6.31149	−	2.61431i	0.320005	−	0.132551i	0.536903	+	0.843644i	$0.319594\pi$
$390$	2.67620	−	1.13109i	0.135515	−	0.0572748i
$391$	4.67733	+	4.67733i	0.236543	+	0.236543i
$392$	−32.3676	+	25.3860i	−1.63481	+	1.28219i
$393$	37.0238	+	8.06654i	1.86760	+	0.406903i
$394$	−13.0283	−	18.4671i	−0.656356	−	0.930361i
$395$	−13.0170	+	5.39183i	−0.654958	+	0.271293i
$396$	−0.663770	+	1.66988i	−0.0333557	+	0.0839146i
$397$	−1.66407	+	4.01741i	−0.0835171	+	0.201628i	−0.960121	−	0.279584i	$-0.909803\pi$
$397$	−1.66407	+	4.01741i	−0.0835171	+	0.201628i	0.876604	+	0.481212i	$0.159803\pi$
$398$	0.733290	−	1.16006i	0.0367565	−	0.0581484i
$399$	−11.8480	−	18.4490i	−0.593143	−	0.923604i
$400$	−1.43531	−	14.1069i	−0.0717657	−	0.705344i
$401$	−3.93840			−0.196674			−0.0983371	−	0.995153i	$-0.531352\pi$
$401$	−3.93840			−0.196674			−0.0983371	+	0.995153i	$0.531352\pi$
$402$	26.8756	−	0.192880i	1.34043	−	0.00961999i
$403$	−1.56214	−	0.647058i	−0.0778155	−	0.0322322i
$404$	3.64974	−	4.03993i	0.181581	−	0.200994i
$405$	−11.8065	+	23.5105i	−0.586670	+	1.16825i
$406$	−6.43387	−	9.11978i	−0.319308	−	0.452607i
$407$	−1.56476	−	1.56476i	−0.0775621	−	0.0775621i
$408$	5.18517	+	4.61722i	0.256704	+	0.228587i
$409$	12.8960	−	12.8960i	0.637664	−	0.637664i	−0.312314	−	0.949979i	$-0.601104\pi$
$409$	12.8960	−	12.8960i	0.637664	−	0.637664i	0.949979	+	0.312314i	$0.101104\pi$
$410$	22.0044	+	3.79986i	1.08672	+	0.187662i
$411$	−17.7924	+	25.6083i	−0.877634	+	1.26316i
$412$	0.887012	+	0.315767i	0.0436999	+	0.0155567i
$413$	−6.39128	+	15.4299i	−0.314494	+	0.759256i
$414$	−4.07651	+	19.3779i	−0.200349	+	0.952372i
$415$		−	27.5295i		−	1.35137i
$416$	1.73202	−	1.50626i	0.0849193	−	0.0738505i
$417$	−0.473084	−	0.736656i	−0.0231670	−	0.0360742i
$418$	0.254003	+	1.12688i	0.0124237	+	0.0551176i
$419$	−5.81232	−	2.40754i	−0.283951	−	0.117616i	0.236163	−	0.971714i	$-0.424110\pi$
$419$	−5.81232	−	2.40754i	−0.283951	−	0.117616i	−0.520113	+	0.854097i	$0.674110\pi$
$420$	45.7749	−	10.6636i	2.23359	−	0.520331i
$421$	7.88620	+	19.0390i	0.384350	+	0.927903i	0.991113	+	0.133020i	$0.0424676\pi$
$421$	7.88620	+	19.0390i	0.384350	+	0.927903i	−0.606763	+	0.794883i	$0.707532\pi$
$422$	0.588345	−	3.40701i	0.0286402	−	0.165850i
$423$	5.69428	+	15.2971i	0.276865	+	0.743770i
$424$	6.71659	−	11.9235i	0.326186	−	0.579058i
$425$	−3.55248	+	3.55248i	−0.172321	+	0.172321i
$426$	12.1286	+	4.92216i	0.587633	+	0.238479i
$427$	21.0770	+	50.8843i	1.01999	+	2.46246i
$428$	−0.572161	+	0.633330i	−0.0276564	+	0.0306132i
$429$	−0.0373060	−	0.207155i	−0.00180115	−	0.0100016i
$430$	−11.9560	+	18.9142i	−0.576568	+	0.912125i
$431$		−	33.6809i		−	1.62235i	−0.584801	−	0.811177i	$-0.698827\pi$
$431$		−	33.6809i		−	1.62235i	0.584801	−	0.811177i	$-0.301173\pi$
$432$	−3.09513	+	20.5529i	−0.148914	+	0.988850i
$433$		−	20.3471i		−	0.977819i	−0.872335	−	0.488909i	$-0.837395\pi$
$433$		−	20.3471i		−	0.977819i	0.872335	−	0.488909i	$-0.162605\pi$
$434$	−23.1207	−	14.6150i	−1.10983	−	0.701541i
$435$	1.52578	+	8.47245i	0.0731554	+	0.406223i
$436$	0.481447	+	9.48817i	0.0230572	+	0.454401i
$437$	4.87135	+	11.7605i	0.233028	+	0.562580i
$438$	5.06910	−	12.4907i	0.242211	−	0.596828i
$439$	12.4753	−	12.4753i	0.595414	−	0.595414i	−0.343675	−	0.939089i	$-0.611672\pi$
$439$	12.4753	−	12.4753i	0.595414	−	0.595414i	0.939089	+	0.343675i	$0.111672\pi$
$440$	−2.45832	−	0.297175i	−0.117196	−	0.0141673i
$441$	15.2209	+	40.8895i	0.724807	+	1.94712i
$442$	−0.801403	−	0.138392i	−0.0381189	−	0.00658263i
$443$	10.7190	+	25.8778i	0.509273	+	1.22949i	0.944303	+	0.329077i	$0.106738\pi$
$443$	10.7190	+	25.8778i	0.509273	+	1.22949i	−0.435030	+	0.900416i	$0.643262\pi$
$444$	−21.7331	−	13.5205i	−1.03141	−	0.641654i
$445$	14.1286	+	5.85227i	0.669761	+	0.277424i
$446$	−14.2750	+	3.21764i	−0.675942	+	0.152360i
$447$	−10.5644	−	16.4502i	−0.499678	−	0.778066i
$448$	31.7565	−	19.2434i	1.50036	−	0.909164i
$449$		−	16.2439i		−	0.766596i	−0.923625	−	0.383298i	$-0.874788\pi$
$449$		−	16.2439i		−	0.766596i	0.923625	−	0.383298i	$-0.125212\pi$
$450$	−14.7177	−	3.09615i	−0.693799	−	0.145954i
$451$	0.619083	−	1.49460i	0.0291515	−	0.0703779i
$452$	33.4805	−	15.9011i	1.57479	−	0.747926i
$453$	19.2438	−	27.6973i	0.904154	−	1.30133i
$454$	2.72997	−	15.8088i	0.128124	−	0.741942i
$455$	−3.89292	+	3.89292i	−0.182503	+	0.182503i
$456$	5.81852	+	12.0276i	0.272477	+	0.563245i
$457$	−2.84177	−	2.84177i	−0.132932	−	0.132932i	0.637510	−	0.770442i	$-0.279965\pi$
$457$	−2.84177	−	2.84177i	−0.132932	−	0.132932i	−0.770442	+	0.637510i	$0.779965\pi$
$458$	−22.3297	+	15.7533i	−1.04340	+	0.736102i
$459$	6.33689	−	3.75156i	0.295781	−	0.175108i
$460$	−27.2521	+	1.38282i	−1.27063	+	0.0644744i
$461$	−20.8642	−	8.64224i	−0.971743	−	0.402509i	−0.160382	−	0.987055i	$-0.551273\pi$
$461$	−20.8642	−	8.64224i	−0.971743	−	0.402509i	−0.811361	+	0.584546i	$0.801273\pi$
$462$	−0.0244366	−	3.40496i	−0.00113690	−	0.158413i
$463$	−22.3599			−1.03915			−0.519576	−	0.854424i	$-0.673910\pi$
$463$	−22.3599			−1.03915			−0.519576	+	0.854424i	$0.673910\pi$
$464$	3.22537	+	5.98775i	0.149734	+	0.277974i
$465$	11.4007	+	17.7524i	0.528694	+	0.823248i
$466$	26.9989	+	17.0664i	1.25070	+	0.790586i
$467$	3.58346	−	8.65124i	0.165823	−	0.400332i	−0.819024	−	0.573760i	$-0.805484\pi$
$467$	3.58346	−	8.65124i	0.165823	−	0.400332i	0.984847	+	0.173428i	$0.0554844\pi$
$468$	−0.963871	−	2.23568i	−0.0445550	−	0.103344i
$469$	−47.0508	+	19.4891i	−2.17260	+	0.899922i
$470$	−18.3790	+	12.9661i	−0.847760	+	0.598082i
$471$	−14.5565	−	3.17148i	−0.670726	−	0.146134i
$472$	4.99498	−	8.86728i	0.229913	−	0.408149i
$473$	1.14628	+	1.14628i	0.0527060	+	0.0527060i
$474$	4.59629	+	10.8750i	0.211114	+	0.499505i
$475$	−8.93220	+	3.69984i	−0.409838	+	0.169760i
$476$	−12.3942	−	4.41220i	−0.568087	−	0.202233i
$477$	−9.88412	−	10.6300i	−0.452563	−	0.486716i
$478$	−31.0624	+	7.00159i	−1.42076	+	0.320245i
$479$	−1.51545			−0.0692426			−0.0346213	−	0.999401i	$-0.511023\pi$
$479$	−1.51545			−0.0692426			−0.0346213	+	0.999401i	$0.511023\pi$
$480$	−28.4725	+	3.10356i	−1.29958	+	0.141657i
$481$	2.99813			0.136703
$482$	−30.0596	+	6.77555i	−1.36918	+	0.308618i
$483$	−6.65035	−	36.9286i	−0.302601	−	1.68031i
$484$	7.31803	−	20.5569i	0.332638	−	0.934404i
$485$	−29.6960	+	12.3005i	−1.34843	+	0.558536i
$486$	19.7713	+	9.75169i	0.896845	+	0.442346i
$487$	10.7114	+	10.7114i	0.485378	+	0.485378i	0.906844	−	0.421466i	$-0.138484\pi$
$487$	10.7114	+	10.7114i	0.485378	+	0.485378i	−0.421466	+	0.906844i	$0.638484\pi$
$488$	−9.02970	−	32.3251i	−0.408756	−	1.46329i
$489$	−4.60203	+	21.1224i	−0.208111	+	0.955188i
$490$	−49.1276	+	34.6588i	−2.21936	+	1.56572i
$491$	20.2550	−	8.38989i	0.914095	−	0.378630i	0.124472	−	0.992223i	$-0.460276\pi$
$491$	20.2550	−	8.38989i	0.914095	−	0.378630i	0.789623	+	0.613593i	$0.210276\pi$
$492$	3.05171	−	18.4611i	0.137582	−	0.832289i
$493$	0.922155	−	2.22628i	0.0415318	−	0.100267i
$494$	−1.32291	−	0.836234i	−0.0595207	−	0.0376239i
$495$	−1.09260	+	2.38837i	−0.0491085	+	0.107349i
$496$	12.9186	+	10.5325i	0.580062	+	0.472925i
$497$	−24.8028			−1.11256
$498$	−23.0679	+	0.165554i	−1.03370	+	0.00741864i
$499$	10.2527	+	4.24681i	0.458974	+	0.190113i	0.600177	−	0.799867i	$-0.295097\pi$
$499$	10.2527	+	4.24681i	0.458974	+	0.190113i	−0.141203	+	0.989981i	$0.545097\pi$
$500$	0.431100	+	8.49593i	0.0192794	+	0.379950i
$501$	20.6272	−	29.6883i	0.921554	−	1.32638i
$502$	−18.0221	+	12.7143i	−0.804366	+	0.567468i
$503$	14.9291	+	14.9291i	0.665655	+	0.665655i	0.956707	−	0.291052i	$-0.0940054\pi$
$503$	14.9291	+	14.9291i	0.665655	+	0.665655i	−0.291052	+	0.956707i	$0.594005\pi$
$504$	−9.21068	−	38.2923i	−0.410276	−	1.70567i
$505$	5.62678	−	5.62678i	0.250389	−	0.250389i
$506$	−0.336400	+	1.94804i	−0.0149548	+	0.0866007i
$507$	−18.2573	−	12.6850i	−0.810836	−	0.563361i
$508$	−4.11862	−	8.67191i	−0.182734	−	0.384754i
$509$	0.540947	−	1.30596i	0.0239770	−	0.0578857i	−0.911438	−	0.411438i	$-0.865027\pi$
$509$	0.540947	−	1.30596i	0.0239770	−	0.0578857i	0.935415	+	0.353553i	$0.115027\pi$
$510$	7.22684	+	7.12385i	0.320010	+	0.315449i
$511$			25.5432i			1.12997i
$512$	−20.6192	+	9.31929i	−0.911248	+	0.411858i
$513$	14.0293	−	2.00325i	0.619407	−	0.0884456i
$514$	16.3870	−	3.69369i	0.722800	−	0.162922i
$515$	1.27139	+	0.526627i	0.0560241	+	0.0232059i
$516$	15.9208	+	9.90458i	0.700874	+	0.436025i
$517$	0.623584	+	1.50547i	0.0274252	+	0.0662103i
$518$	47.7932	+	8.25325i	2.09991	+	0.362627i
$519$	−13.9367	−	3.03645i	−0.611754	−	0.133286i
$520$	2.63981	−	2.07041i	0.115763	−	0.0907936i
$521$	−4.02013	+	4.02013i	−0.176125	+	0.176125i	−0.789664	−	0.613539i	$-0.789745\pi$
$521$	−4.02013	+	4.02013i	−0.176125	+	0.176125i	0.613539	+	0.789664i	$0.289745\pi$
$522$	7.09019	−	1.32945i	0.310329	−	0.0581885i
$523$	2.35502	+	5.68552i	0.102978	+	0.248610i	0.966968	−	0.254899i	$-0.0820421\pi$
$523$	2.35502	+	5.68552i	0.102978	+	0.248610i	−0.863990	+	0.503509i	$0.832042\pi$
$524$	43.6981	−	2.21732i	1.90896	−	0.0968642i
$525$	28.0476	−	5.05100i	1.22410	−	0.220444i
$526$	5.57114	+	3.52160i	0.242913	+	0.153549i
$527$		−	5.90561i		−	0.257253i
$528$	−0.234230	+	2.06170i	−0.0101935	+	0.0897238i
$529$		−	1.21549i		−	0.0528475i
$530$	10.6874	−	16.9074i	0.464231	−	0.734410i
$531$	−7.35061	−	7.90533i	−0.318989	−	0.343062i
$532$	−18.7866	−	16.9721i	−0.814501	−	0.735834i
$533$	0.838760	+	2.02495i	0.0363307	+	0.0877101i
$534$	4.81886	−	11.8741i	0.208532	−	0.513841i
$535$	−0.882097	+	0.882097i	−0.0381364	+	0.0381364i
$536$	29.8898	−	8.34943i	1.29104	−	0.360640i
$537$	1.33669	−	6.13513i	0.0576823	−	0.264750i
$538$	7.03238	−	40.7233i	0.303187	−	1.75571i
$539$	1.66686	+	4.02415i	0.0717966	+	0.173332i
$540$	−6.04030	+	29.7719i	−0.259933	+	1.28118i
$541$	27.0891	+	11.2207i	1.16465	+	0.482414i	0.879421	−	0.476045i	$-0.157930\pi$
$541$	27.0891	+	11.2207i	1.16465	+	0.482414i	0.285230	+	0.958459i	$0.407930\pi$
$542$	−1.08785	−	4.82622i	−0.0467271	−	0.207304i
$543$	−10.2767	+	6.59973i	−0.441014	+	0.283222i
$544$	7.17548	+	3.57568i	0.307646	+	0.153306i
$545$			13.8856i			0.594794i
$546$	3.28542	+	3.23860i	0.140603	+	0.138599i
$547$	2.18960	−	5.28616i	0.0936205	−	0.226020i	−0.870132	−	0.492820i	$-0.835966\pi$
$547$	2.18960	−	5.28616i	0.0936205	−	0.226020i	0.963752	+	0.266800i	$0.0859662\pi$
$548$	−12.0756	+	33.9212i	−0.515844	+	1.44904i
$549$	−35.5750	−	1.29354i	−1.51830	−	0.0552071i
$550$	−1.47955	−	0.255499i	−0.0630883	−	0.0108945i
$551$	3.27904	−	3.27904i	0.139692	−	0.139692i
$552$	1.32260	+	22.8272i	0.0562936	+	0.971588i
$553$	−15.8193	−	15.8193i	−0.672703	−	0.672703i
$554$	8.99229	+	12.7462i	0.382046	+	0.541536i
$555$	−30.7225	−	21.3457i	−1.30410	−	0.906074i
$556$	−0.750135	−	0.677685i	−0.0318128	−	0.0287403i
$557$	−33.6235	−	13.9273i	−1.42467	−	0.590119i	−0.468644	−	0.883387i	$-0.655257\pi$
$557$	−33.6235	−	13.9273i	−1.42467	−	0.590119i	−0.956030	+	0.293268i	$0.905257\pi$
$558$	14.8068	−	9.65979i	0.626822	−	0.408932i
$559$	−2.19631			−0.0928941
$560$	47.7806	−	25.7375i	2.01910	−	1.08761i
$561$	0.618594	−	0.397264i	0.0261171	−	0.0167725i
$562$	−15.0764	+	23.8506i	−0.635958	+	1.00608i
$563$	10.2970	−	24.8591i	0.433965	−	1.04768i	−0.544031	−	0.839065i	$-0.683103\pi$
$563$	10.2970	−	24.8591i	0.433965	−	1.04768i	0.977997	−	0.208620i	$-0.0668972\pi$
$564$	10.9753	+	15.3224i	0.462143	+	0.645191i
$565$	50.0494	−	20.7312i	2.10560	−	0.872166i
$566$	−15.1952	−	21.5386i	−0.638702	−	0.905337i
$567$	−41.6632	−	3.03385i	−1.74969	−	0.127410i
$568$	15.0050	+	1.81389i	0.629597	+	0.0761093i
$569$	5.01618	+	5.01618i	0.210289	+	0.210289i	0.804390	−	0.594101i	$-0.202492\pi$
$569$	5.01618	+	5.01618i	0.210289	+	0.210289i	−0.594101	+	0.804390i	$0.702492\pi$
$570$	7.60247	+	17.9878i	0.318432	+	0.753424i
$571$	−8.20928	+	3.40040i	−0.343548	+	0.142302i	−0.547785	−	0.836619i	$-0.684529\pi$
$571$	−8.20928	+	3.40040i	−0.343548	+	0.142302i	0.204237	+	0.978921i	$0.434529\pi$
$572$	−0.104271	−	0.219547i	−0.00435980	−	0.00917973i
$573$	−32.0636	+	5.77423i	−1.33948	+	0.241222i
$574$	7.79639	+	34.5885i	0.325415	+	1.44370i
$575$	−16.5455			−0.689997
$576$	2.77180	+	23.8394i	0.115492	+	0.993308i
$577$	36.7704			1.53077			0.765386	−	0.643571i	$-0.222548\pi$
$577$	36.7704			1.53077			0.765386	+	0.643571i	$0.222548\pi$
$578$	4.66186	+	20.6822i	0.193908	+	0.860268i
$579$	19.0063	−	3.42279i	0.789875	−	0.142246i
$580$	4.26459	+	8.97926i	0.177078	+	0.372844i
$581$	40.3848	−	16.7279i	1.67544	−	0.693992i
$582$	10.4856	+	24.8093i	0.434642	+	1.02838i
$583$	−1.02466	−	1.02466i	−0.0424369	−	0.0424369i
$584$	1.86804	−	15.4530i	0.0773002	−	0.639448i
$585$	−1.24138	−	3.33483i	−0.0513246	−	0.137878i
$586$	19.1076	+	27.0844i	0.789329	+	1.11885i
$587$	22.3129	−	9.24233i	0.920954	−	0.381472i	0.128714	−	0.991682i	$-0.458915\pi$
$587$	22.3129	−	9.24233i	0.920954	−	0.381472i	0.792240	+	0.610210i	$0.208915\pi$
$588$	29.3372	+	40.9573i	1.20985	+	1.68905i
$589$	4.34912	−	10.4997i	0.179202	−	0.432633i
$590$	7.94800	−	12.5737i	0.327214	−	0.517649i
$591$	−23.2903	+	14.9572i	−0.958036	+	0.615256i
$592$	−28.3100	−	8.48824i	−1.16353	−	0.348864i
$593$	−2.15691			−0.0885737			−0.0442868	−	0.999019i	$-0.514102\pi$
$593$	−2.15691			−0.0885737			−0.0442868	+	0.999019i	$0.514102\pi$
$594$	2.00787	+	0.901161i	0.0823839	+	0.0369751i
$595$	−17.7651	−	7.35854i	−0.728297	−	0.301671i
$596$	−16.7512	−	15.1333i	−0.686155	−	0.619884i
$597$	−1.38035	−	0.959057i	−0.0564942	−	0.0392516i
$598$	−1.54398	−	2.18853i	−0.0631379	−	0.0894957i
$599$	4.80949	+	4.80949i	0.196511	+	0.196511i	0.798502	−	0.601992i	$-0.205626\pi$
$599$	4.80949	+	4.80949i	0.196511	+	0.196511i	−0.601992	+	0.798502i	$0.705626\pi$
$600$	−17.3374	+	1.00453i	−0.707798	+	0.0410097i
$601$	5.18282	−	5.18282i	0.211411	−	0.211411i	−0.593455	−	0.804867i	$-0.702237\pi$
$601$	5.18282	−	5.18282i	0.211411	−	0.211411i	0.804867	+	0.593455i	$0.202237\pi$
$602$	−35.0114	−	6.04600i	−1.42696	−	0.246417i
$603$	1.19609	−	32.8948i	0.0487086	−	1.33958i
$604$	13.0607	−	36.6884i	0.531432	−	1.49283i
$605$	12.2048	−	29.4650i	0.496196	−	1.19792i
$606$	−4.74872	−	4.68104i	−0.192903	−	0.190154i
$607$		−	5.19779i		−	0.210972i	−0.994421	−	0.105486i	$-0.966360\pi$
$607$		−	5.19779i		−	0.210972i	0.994421	−	0.105486i	$-0.0336398\pi$
$608$	10.1242	+	11.6416i	0.410589	+	0.472128i
$609$	−11.5017	+	7.38643i	−0.466071	+	0.299313i
$610$	−10.7865	−	47.8540i	−0.436731	−	1.93755i
$611$	−2.03967	−	0.844859i	−0.0825162	−	0.0341793i
$612$	5.92586	−	6.09847i	0.239539	−	0.246516i
$613$	12.1586	+	29.3536i	0.491083	+	1.18558i	0.954170	+	0.299266i	$0.0967419\pi$
$613$	12.1586	+	29.3536i	0.491083	+	1.18558i	−0.463087	+	0.886313i	$0.653258\pi$
$614$	−5.13552	+	29.7389i	−0.207253	+	1.20016i
$615$	5.82198	−	26.7217i	0.234765	−	1.07752i
$616$	−1.05782	−	3.78684i	−0.0426207	−	0.152576i
$617$	−10.7968	+	10.7968i	−0.434663	+	0.434663i	−0.890211	−	0.455548i	$-0.849443\pi$
$617$	−10.7968	+	10.7968i	−0.434663	+	0.434663i	0.455548	+	0.890211i	$0.349443\pi$
$618$	0.433633	−	1.06851i	0.0174433	−	0.0429817i
$619$	−11.7667	−	28.4074i	−0.472944	−	1.14179i	−0.962856	−	0.270016i	$-0.912971\pi$
$619$	−11.7667	−	28.4074i	−0.472944	−	1.14179i	0.489912	−	0.871772i	$-0.337029\pi$
$620$	18.0773	+	16.3313i	0.726000	+	0.655881i
$621$	23.4933	+	6.02053i	0.942753	+	0.241595i
$622$	−11.2954	+	17.8692i	−0.452903	+	0.716488i
$623$			24.2822i			0.972848i
$624$	−1.75075	−	2.19954i	−0.0700859	−	0.0880520i
$625$			30.1581i			1.20633i
$626$	40.6733	+	25.7102i	1.62563	+	1.02759i
$627$	1.39237	−	0.250748i	0.0556059	−	0.0100139i
$628$	−17.1806	+	0.871774i	−0.685579	+	0.0347876i
$629$	4.00730	+	9.67449i	0.159782	+	0.385747i
$630$	−10.6087	−	56.5777i	−0.422659	−	2.25411i
$631$	−5.17311	+	5.17311i	−0.205938	+	0.205938i	−0.802539	−	0.596600i	$-0.796518\pi$
$631$	−5.17311	+	5.17311i	−0.205938	+	0.205938i	0.596600	+	0.802539i	$0.296518\pi$
$632$	8.41333	+	10.7271i	0.334664	+	0.426702i
$633$	−4.13741	−	0.901437i	−0.164447	−	0.0358289i
$634$	32.5385	+	5.61897i	1.29227	+	0.223158i
$635$	−5.36966	−	12.9635i	−0.213088	−	0.514441i
$636$	−14.2316	−	8.85368i	−0.564318	−	0.351071i
$637$	−5.45209	−	2.25833i	−0.216020	−	0.0894782i
$638$	0.702534	−	0.158354i	0.0278136	−	0.00626929i
$639$	6.66897	−	14.5781i	0.263820	−	0.576701i
$640$	−30.7882	+	12.0762i	−1.21701	+	0.477354i
$641$			35.5298i			1.40334i	0.712500	+	0.701672i	$0.247563\pi$
$641$			35.5298i			1.40334i	−0.712500	+	0.701672i	$0.752437\pi$
$642$	0.744445	+	0.733835i	0.0293809	+	0.0289622i
$643$	3.04889	−	7.36067i	0.120237	−	0.290277i	−0.852290	−	0.523070i	$-0.824787\pi$
$643$	3.04889	−	7.36067i	0.120237	−	0.290277i	0.972526	+	0.232793i	$0.0747866\pi$
$644$	−18.5879	−	39.1376i	−0.732466	−	1.54224i
$645$	22.5061	+	15.6370i	0.886176	+	0.615707i
$646$	0.930184	−	5.38654i	0.0365976	−	0.211930i
$647$	9.34579	−	9.34579i	0.367421	−	0.367421i	−0.499115	−	0.866536i	$-0.666341\pi$
$647$	9.34579	−	9.34579i	0.367421	−	0.367421i	0.866536	+	0.499115i	$0.166341\pi$
$648$	24.9833	+	4.88234i	0.981435	+	0.191796i
$649$	−0.762015	−	0.762015i	−0.0299117	−	0.0299117i
$650$	1.66221	−	1.17266i	0.0651973	−	0.0459957i
$651$	−19.1147	+	27.5114i	−0.749163	+	1.07826i
$652$	1.26500	+	24.9301i	0.0495413	+	0.976340i
$653$	−3.13779	−	1.29972i	−0.122791	−	0.0508618i	0.320442	−	0.947268i	$-0.396169\pi$
$653$	−3.13779	−	1.29972i	−0.122791	−	0.0508618i	−0.443233	+	0.896406i	$0.646169\pi$
$654$	11.6352	−	0.0835036i	0.454974	−	0.00326525i
$655$	63.9506			2.49876
$656$	−2.18706	−	21.4953i	−0.0853902	−	0.839251i
$657$	−15.0133	−	6.86805i	−0.585725	−	0.267948i
$658$	−30.1886	−	19.0827i	−1.17687	−	0.743920i
$659$	−12.0747	+	29.1508i	−0.470362	+	1.13555i	0.493642	+	0.869665i	$0.335665\pi$
$659$	−12.0747	+	29.1508i	−0.470362	+	1.13555i	−0.964004	+	0.265889i	$0.914335\pi$
$660$	−0.494613	+	2.99212i	−0.0192528	+	0.116468i
$661$	21.5134	−	8.91114i	0.836774	−	0.346603i	0.0771932	−	0.997016i	$-0.475404\pi$
$661$	21.5134	−	8.91114i	0.836774	−	0.346603i	0.759581	+	0.650413i	$0.225404\pi$
$662$	−32.2457	+	22.7489i	−1.25326	+	0.884159i
$663$	−0.212038	+	0.973211i	−0.00823487	+	0.0377964i
$664$	−25.6551	+	7.16651i	−0.995611	+	0.278115i
$665$	−26.1658	−	26.1658i	−1.01467	−	1.01467i
$666$	−17.7015	+	25.8718i	−0.685921	+	1.00251i
$667$	7.33186	−	3.03696i	0.283891	−	0.117591i
$668$	13.9996	−	39.3258i	0.541659	−	1.52156i
$669$	3.17640	+	17.6382i	0.122807	+	0.681931i
$670$	44.2488	−	9.97384i	1.70948	−	0.385323i
$671$	−3.55385			−0.137195
$672$	−21.8537	−	39.8822i	−0.843025	−	1.53849i
$673$	−27.9251			−1.07643			−0.538216	−	0.842807i	$-0.680902\pi$
$673$	−27.9251			−1.07643			−0.538216	+	0.842807i	$0.680902\pi$
$674$	10.6546	−	2.40160i	0.410401	−	0.0925060i
$675$	−4.57265	+	17.8434i	−0.176001	+	0.686792i
$676$	−24.1840	−	8.60925i	−0.930154	−	0.331125i
$677$	6.25960	−	2.59281i	0.240576	−	0.0996498i	−0.259138	−	0.965840i	$-0.583438\pi$
$677$	6.25960	−	2.59281i	0.240576	−	0.0996498i	0.499714	+	0.866191i	$0.333438\pi$
$678$	−17.6723	−	41.8135i	−0.678702	−	1.60584i
$679$	−36.0887	−	36.0887i	−1.38496	−	1.38496i
$680$	10.2093	+	5.75093i	0.391507	+	0.220538i
$681$	−19.1979	−	4.18273i	−0.735665	−	0.160283i
$682$	1.44217	−	1.01743i	0.0552234	−	0.0389593i
$683$	−26.2767	+	10.8842i	−1.00545	+	0.416471i	−0.823793	−	0.566891i	$-0.808146\pi$
$683$	−26.2767	+	10.8842i	−1.00545	+	0.416471i	−0.181657	+	0.983362i	$0.558146\pi$
$684$	15.0269	−	6.47855i	0.574566	−	0.247713i
$685$	−20.1393	+	48.6207i	−0.769484	+	1.85770i
$686$	−41.8553	−	26.4574i	−1.59804	−	1.01015i
$687$	18.0856	+	28.1617i	0.690009	+	1.07444i
$688$	20.7388	+	6.21815i	0.790659	+	0.237065i
$689$	1.96328			0.0747950
$690$	0.239840	+	33.4189i	0.00913057	+	1.27224i
$691$	−26.2910	−	10.8901i	−1.00016	−	0.414279i	−0.178303	−	0.983976i	$-0.557061\pi$
$691$	−26.2910	−	10.8901i	−1.00016	−	0.414279i	−0.821855	+	0.569697i	$0.807061\pi$
$692$	−16.4491	+	0.834658i	−0.625301	+	0.0317289i
$693$	−4.16756	−	0.151537i	−0.158312	−	0.00575641i
$694$	8.72088	−	6.15245i	0.331040	−	0.233544i
$695$	−1.04478	−	1.04478i	−0.0396309	−	0.0396309i
$696$	7.49839	−	3.62745i	0.284226	−	0.137498i
$697$	−5.41308	+	5.41308i	−0.205035	+	0.205035i
$698$	0.964929	−	5.58774i	0.0365231	−	0.211499i
$699$	22.3209	−	32.1260i	0.844252	−	1.21512i
$700$	29.7254	−	14.1177i	1.12351	−	0.533599i
$701$	15.7331	−	37.9830i	0.594230	−	1.43460i	−0.285153	−	0.958482i	$-0.592044\pi$
$701$	15.7331	−	37.9830i	0.594230	−	1.43460i	0.879383	−	0.476116i	$-0.157956\pi$
$702$	−2.78691	+	1.06025i	−0.105185	+	0.0400165i
$703$			20.1516i			0.760032i
$704$	0.363010	+	2.36830i	0.0136815	+	0.0892585i
$705$	14.8858	+	23.1792i	0.560632	+	0.872979i
$706$	−45.5858	+	10.2752i	−1.71564	+	0.386712i
$707$	11.6733	+	4.83525i	0.439021	+	0.181848i
$708$	−10.5837	−	6.58429i	−0.397760	−	0.247453i
$709$	3.26185	+	7.87481i	0.122501	+	0.295745i	0.973220	−	0.229877i	$-0.0738325\pi$
$709$	3.26185	+	7.87481i	0.122501	+	0.295745i	−0.850718	+	0.525622i	$0.823833\pi$
$710$	21.7686	+	3.75915i	0.816961	+	0.141078i
$711$	13.5514	−	5.04446i	0.508218	−	0.189182i
$712$	1.77582	−	14.6901i	0.0665518	−	0.550535i
$713$	13.7526	−	13.7526i	0.515039	−	0.515039i
$714$	−6.05914	+	14.9302i	−0.226758	+	0.558750i
$715$	−0.135944	−	0.328198i	−0.00508402	−	0.0122739i
$716$	−0.367428	−	7.24111i	−0.0137314	−	0.270613i
$717$	6.91184	+	38.3806i	0.258127	+	1.43335i
$718$	1.73799	+	1.09861i	0.0648612	+	0.0409997i
$719$			6.72495i			0.250798i	0.992106	+	0.125399i	$0.0400211\pi$
$719$			6.72495i			0.250798i	−0.992106	+	0.125399i	$0.959979\pi$
$720$	2.28028	+	35.0039i	0.0849810	+	1.30452i
$721$			2.18508i			0.0813766i
$722$	−8.73648	+	13.8210i	−0.325138	+	0.514365i
$723$	6.68870	+	37.1415i	0.248756	+	1.38131i
$724$	−9.45401	+	10.4647i	−0.351355	+	0.388918i
$725$	2.30660	+	5.56862i	0.0856649	+	0.206813i
$726$	−24.7631	−	10.0496i	−0.919046	−	0.372977i
$727$	−11.8994	+	11.8994i	−0.441326	+	0.441326i	−0.892457	−	0.451132i	$-0.851021\pi$
$727$	−11.8994	+	11.8994i	−0.441326	+	0.441326i	0.451132	+	0.892457i	$0.351021\pi$
$728$	4.64127	+	2.61445i	0.172017	+	0.0968980i
$729$	12.9856	−	23.6722i	0.480947	−	0.876750i
$730$	3.87137	−	22.4184i	0.143286	−	0.829744i
$731$	−2.93559	−	7.08715i	−0.108577	−	0.262128i
$732$	−40.0336	+	9.32613i	−1.47969	+	0.344704i
$733$	−27.8224	−	11.5244i	−1.02764	−	0.425664i	−0.195782	−	0.980647i	$-0.562724\pi$
$733$	−27.8224	−	11.5244i	−1.02764	−	0.425664i	−0.831861	+	0.554984i	$0.812724\pi$
$734$	−3.63212	−	16.1138i	−0.134064	−	0.594772i
$735$	39.7901	+	61.9586i	1.46768	+	2.28538i
$736$	8.38296	+	25.0366i	0.309000	+	0.922861i
$737$		−	3.28611i		−	0.121045i
$738$	−22.4261	−	4.71775i	−0.825515	−	0.173663i
$739$	−9.46555	+	22.8519i	−0.348196	+	0.840619i	0.648637	+	0.761098i	$0.275339\pi$
$739$	−9.46555	+	22.8519i	−0.348196	+	0.840619i	−0.996833	+	0.0795214i	$0.974661\pi$
$740$	−40.6956	−	14.4872i	−1.49600	−	0.532561i
$741$	−1.09370	+	1.57414i	−0.0401779	+	0.0578274i
$742$	31.2966	+	5.40451i	1.14893	+	0.198406i
$743$	34.0574	−	34.0574i	1.24944	−	1.24944i	0.293479	−	0.955966i	$-0.405187\pi$
$743$	34.0574	−	34.0574i	1.24944	−	1.24944i	0.955966	−	0.293479i	$-0.0948130\pi$
$744$	13.5759	−	15.2458i	0.497715	−	0.558937i
$745$	−23.3309	−	23.3309i	−0.854778	−	0.854778i
$746$	10.2497	+	14.5286i	0.375268	+	0.531929i
$747$	−1.02663	+	28.2344i	−0.0375626	+	1.03304i
$748$	0.569074	−	0.629913i	0.0208074	−	0.0230319i
$749$	−1.83000	−	0.758011i	−0.0668667	−	0.0276971i
$750$	10.4185	−	0.0747711i	0.380429	−	0.00273025i
$751$	−28.4849			−1.03943			−0.519714	−	0.854341i	$-0.673961\pi$
$751$	−28.4849			−1.03943			−0.519714	+	0.854341i	$0.673961\pi$
$752$	16.8677	+	13.7523i	0.615103	+	0.501494i
$753$	14.5967	+	22.7291i	0.531935	+	0.828294i
$754$	−0.521335	+	0.824746i	−0.0189859	+	0.0300355i
$755$	21.7822	−	52.5870i	0.792737	−	1.91384i
$756$	−47.3446	+	9.22960i	−1.72191	+	0.335677i
$757$	25.6728	−	10.6340i	0.933093	−	0.386500i	0.136242	−	0.990676i	$-0.456498\pi$
$757$	25.6728	−	10.6340i	0.933093	−	0.386500i	0.796851	+	0.604176i	$0.206498\pi$
$758$	13.4677	+	19.0900i	0.489170	+	0.693381i
$759$	2.36566	+	0.515417i	0.0858681	+	0.0187085i
$760$	13.9160	+	17.7432i	0.504787	+	0.643613i
$761$	29.3477	+	29.3477i	1.06385	+	1.06385i	0.997817	+	0.0660371i	$0.0210356\pi$
$761$	29.3477	+	29.3477i	1.06385	+	1.06385i	0.0660371	+	0.997817i	$0.478964\pi$
$762$	−10.8303	+	4.57738i	−0.392340	+	0.165821i
$763$	−20.3697	+	8.43740i	−0.737432	+	0.305454i
$764$	−33.9816	+	16.1391i	−1.22941	+	0.583894i
$765$	9.10173	−	8.46306i	0.329074	−	0.305982i
$766$	−9.00361	−	39.9444i	−0.325314	−	1.44325i
$767$	1.46005			0.0527193
$768$	10.3042	+	25.7259i	0.371822	+	0.928304i
$769$	−32.2426			−1.16270			−0.581349	−	0.813654i	$-0.697475\pi$
$769$	−32.2426			−1.16270			−0.581349	+	0.813654i	$0.697475\pi$
$770$	−1.26362	−	5.60602i	−0.0455377	−	0.202027i
$771$	−3.64635	−	20.2477i	−0.131320	−	0.729204i
$772$	20.1432	−	9.56679i	0.724971	−	0.344316i
$773$	−12.3588	+	5.11920i	−0.444517	+	0.184125i	−0.593703	−	0.804684i	$-0.702335\pi$
$773$	−12.3588	+	5.11920i	−0.444517	+	0.184125i	0.149186	+	0.988809i	$0.452335\pi$
$774$	12.9675	−	18.9527i	0.466105	−	0.681239i
$775$	10.4452	+	10.4452i	0.375203	+	0.375203i
$776$	19.1935	+	24.4720i	0.689005	+	0.878494i
$777$	12.6453	−	58.0392i	0.453647	−	2.08215i
$778$	−5.56937	−	7.89438i	−0.199671	−	0.283027i
$779$	−13.6104	+	5.63762i	−0.487644	+	0.201989i
$780$	−2.39266	−	3.34036i	−0.0856710	−	0.119604i
$781$	0.612450	−	1.47859i	0.0219152	−	0.0529079i
$782$	4.99836	−	7.90735i	0.178741	−	0.282766i
$783$	−1.24889	−	8.74629i	−0.0446316	−	0.312567i
$784$	45.0879	+	36.7602i	1.61028	+	1.31286i
$785$	−25.1432			−0.897398
$786$	−0.384578	−	53.5865i	−0.0137175	−	1.91137i
$787$	38.0948	+	15.7794i	1.35793	+	0.562475i	0.938490	−	0.345307i	$-0.112225\pi$
$787$	38.0948	+	15.7794i	1.35793	+	0.562475i	0.419444	+	0.907781i	$0.362225\pi$
$788$	−21.4259	+	23.7165i	−0.763266	+	0.844866i
$789$	4.60585	−	6.62911i	0.163972	−	0.236003i
$790$	11.4865	+	16.2816i	0.408670	+	0.579275i
$791$	60.8237	+	60.8237i	2.16264	+	2.16264i
$792$	2.51018	+	0.396460i	0.0891953	+	0.0140876i
$793$	3.40465	−	3.40465i	0.120903	−	0.120903i
$794$	6.05990	+	1.04646i	0.215058	+	0.0371376i
$795$	−20.1181	−	13.9779i	−0.713516	−	0.495744i
$796$	−1.82845	−	0.650907i	−0.0648075	−	0.0230708i
$797$	−5.35573	+	12.9299i	−0.189710	+	0.458000i	−0.989904	−	0.141742i	$-0.954730\pi$
$797$	−5.35573	+	12.9299i	−0.189710	+	0.458000i	0.800194	+	0.599741i	$0.204730\pi$
$798$	−21.7679	+	22.0826i	−0.770574	+	0.781715i
$799$		−	7.71092i		−	0.272793i
$800$	−19.0155	+	6.36694i	−0.672300	+	0.225105i
$801$	−14.2721	−	6.52900i	−0.504282	−	0.230691i
$802$	1.22471	+	5.43342i	0.0432461	+	0.191861i
$803$	−1.52272	−	0.630733i	−0.0537358	−	0.0222581i
$804$	−8.62352	−	37.0176i	−0.304128	−	1.30551i
$805$	−24.2341	−	58.5062i	−0.854138	−	2.06207i
$806$	−0.406908	+	2.35634i	−0.0143327	+	0.0829984i
$807$	−49.4537	−	10.7747i	−1.74085	−	0.379288i
$808$	−6.70844	−	3.77890i	−0.236002	−	0.132941i
$809$	−20.7156	+	20.7156i	−0.728323	+	0.728323i	−0.970286	−	0.241963i	$-0.922209\pi$
$809$	−20.7156	+	20.7156i	−0.728323	+	0.728323i	0.241963	+	0.970286i	$0.422209\pi$
$810$	36.1066	+	8.97725i	1.26866	+	0.315428i
$811$	11.3246	+	27.3401i	0.397662	+	0.960040i	0.988219	+	0.153045i	$0.0489079\pi$
$811$	11.3246	+	27.3401i	0.397662	+	0.960040i	−0.590557	+	0.806996i	$0.701092\pi$
$812$	−10.5809	+	11.7121i	−0.371318	+	0.411015i
$813$	−5.96326	+	1.07390i	−0.209141	+	0.0376635i
$814$	−1.67215	+	2.64533i	−0.0586089	+	0.0927187i
$815$			36.4844i			1.27799i
$816$	4.75751	−	8.58927i	0.166546	−	0.300685i
$817$		−	14.7623i		−	0.516466i
$818$	−21.8015	−	13.7811i	−0.762272	−	0.481844i
$819$	4.13777	−	3.84742i	0.144585	−	0.134440i
$820$	−1.60034	−	31.5389i	−0.0558863	−	1.10138i
$821$	−7.72933	−	18.6602i	−0.269755	−	0.651247i	0.729716	−	0.683750i	$-0.239652\pi$
$821$	−7.72933	−	18.6602i	−0.269755	−	0.651247i	−0.999472	+	0.0325031i	$0.989652\pi$
$822$	40.8621	+	16.5831i	1.42523	+	0.578401i
$823$	−9.01439	+	9.01439i	−0.314222	+	0.314222i	−0.846543	−	0.532321i	$-0.821320\pi$
$823$	−9.01439	+	9.01439i	−0.314222	+	0.314222i	0.532321	+	0.846543i	$0.321320\pi$
$824$	0.159801	−	1.32192i	0.00556692	−	0.0460511i
$825$	−0.391464	+	1.79674i	−0.0136290	+	0.0625545i
$826$	23.2746	+	4.01922i	0.809827	+	0.139846i
$827$	2.63867	+	6.37031i	0.0917555	+	0.221517i	0.963094	−	0.269165i	$-0.0867476\pi$
$827$	2.63867	+	6.37031i	0.0917555	+	0.221517i	−0.871339	+	0.490682i	$0.836748\pi$
$828$	28.0014	−	0.401941i	0.973117	−	0.0139684i
$829$	−13.8454	−	5.73494i	−0.480870	−	0.199183i	0.129062	−	0.991636i	$-0.458803\pi$
$829$	−13.8454	−	5.73494i	−0.480870	−	0.199183i	−0.609932	+	0.792454i	$0.708803\pi$
$830$	−37.9798	+	8.56078i	−1.31830	+	0.297149i
$831$	16.0753	−	10.3236i	0.557645	−	0.358123i
$832$	−2.61664	−	1.92110i	−0.0907157	−	0.0666022i
$833$		−	20.6115i		−	0.714145i
$834$	−0.869177	+	0.881743i	−0.0300971	+	0.0305323i
$835$	23.3480	−	56.3672i	0.807992	−	1.95067i
$836$	1.47566	−	0.700847i	0.0510368	−	0.0242393i
$837$	−11.0306	−	18.6321i	−0.381273	−	0.644020i
$838$	−1.51401	+	8.76735i	−0.0523005	+	0.302863i
$839$	−26.1199	+	26.1199i	−0.901760	+	0.901760i	−0.995588	−	0.0938284i	$-0.970089\pi$
$839$	−26.1199	+	26.1199i	−0.901760	+	0.901760i	0.0938284	+	0.995588i	$0.470089\pi$
$840$	−28.9460	−	59.8351i	−0.998732	−	2.06451i
$841$	18.4618	+	18.4618i	0.636615	+	0.636615i
$842$	23.8138	−	16.8003i	0.820679	−	0.578977i
$843$	28.3799	+	19.7181i	0.977457	+	0.679128i
$844$	−4.88327	+	0.247786i	−0.168089	+	0.00852915i
$845$	−34.6639	−	14.3583i	−1.19247	−	0.493939i
$846$	19.3331	−	12.6127i	0.664687	−	0.433634i
$847$	50.6402			1.74002
$848$	−18.5384	−	5.55838i	−0.636610	−	0.190876i
$849$	−27.1641	+	17.4449i	−0.932268	+	0.598708i
$850$	6.00571	+	3.79630i	0.205994	+	0.130212i
$851$	−13.1974	+	31.8612i	−0.452399	+	1.09219i
$852$	3.01902	−	18.2633i	0.103430	−	0.625690i
$853$	−1.69735	+	0.703064i	−0.0581161	+	0.0240725i	−0.411552	−	0.911386i	$-0.635013\pi$
$853$	−1.69735	+	0.703064i	−0.0581161	+	0.0240725i	0.353436	+	0.935459i	$0.385013\pi$
$854$	63.6458	−	44.9012i	2.17791	−	1.53649i
$855$	22.4147	−	8.34377i	0.766565	−	0.285351i
$856$	1.05167	+	0.592409i	0.0359452	+	0.0202481i
$857$	−0.0113831	−	0.0113831i	−0.000388840	−	0.000388840i	0.706912	−	0.707301i	$-0.250088\pi$
$857$	−0.0113831	−	0.0113831i	−0.000388840	−	0.000388840i	−0.707301	+	0.706912i	$0.750088\pi$
$858$	−0.274191	+	0.115886i	−0.00936073	+	0.00395628i
$859$	24.9835	−	10.3485i	0.852428	−	0.353087i	0.0866863	−	0.996236i	$-0.472372\pi$
$859$	24.9835	−	10.3485i	0.852428	−	0.353087i	0.765741	+	0.643149i	$0.222372\pi$
$860$	29.8120	+	10.6128i	1.01658	+	0.361892i
$861$	42.7375	−	7.69645i	1.45649	−	0.262294i
$862$	−46.4663	+	10.4737i	−1.58265	+	0.356735i
$863$	16.4680			0.560576			0.280288	−	0.959916i	$-0.409570\pi$
$863$	16.4680			0.560576			0.280288	+	0.959916i	$0.409570\pi$
$864$	29.3172	−	2.12123i	0.997393	−	0.0721656i
$865$	−24.0727			−0.818496
$866$	−28.0709	+	6.32728i	−0.953887	+	0.215010i
$867$	25.5549	−	4.60210i	0.867890	−	0.156296i
$868$	−12.9730	+	36.4422i	−0.440333	+	1.23693i
$869$	1.33366	−	0.552422i	0.0452415	−	0.0187396i
$870$	11.2141	−	4.73962i	0.380195	−	0.160688i
$871$	3.14815	+	3.14815i	0.106671	+	0.106671i
$872$	12.9402	−	3.61472i	0.438209	−	0.122410i
$873$	30.9151	−	11.5080i	1.04632	−	0.389487i
$874$	14.7100	−	10.3777i	0.497572	−	0.351029i
$875$	−18.2395	+	7.55505i	−0.616608	+	0.255407i
$876$	−18.8085	−	3.10914i	−0.635480	−	0.105048i
$877$	−11.7332	+	28.3264i	−0.396202	+	0.956515i	0.592357	+	0.805676i	$0.298198\pi$
$877$	−11.7332	+	28.3264i	−0.396202	+	0.956515i	−0.988558	+	0.150840i	$0.951802\pi$
$878$	−21.0904	−	13.3315i	−0.711765	−	0.449918i
$879$	34.1582	−	21.9366i	1.15213	−	0.739903i
$880$	0.354473	+	3.48391i	0.0119493	+	0.117442i
$881$	16.3847			0.552015			0.276008	−	0.961155i	$-0.410988\pi$
$881$	16.3847			0.552015			0.276008	+	0.961155i	$0.410988\pi$
$882$	51.6780	−	33.7141i	1.74009	−	1.13521i
$883$	22.3631	+	9.26309i	0.752577	+	0.311728i	0.725793	−	0.687914i	$-0.241473\pi$
$883$	22.3631	+	9.26309i	0.752577	+	0.311728i	0.0267846	+	0.999641i	$0.491473\pi$
$884$	0.0582848	+	1.14865i	0.00196033	+	0.0386334i
$885$	−14.9614	−	10.3951i	−0.502923	−	0.349426i
$886$	32.3679	−	22.8350i	1.08742	−	0.767158i
$887$	−30.9346	−	30.9346i	−1.03868	−	1.03868i	−0.999221	−	0.0394616i	$-0.987436\pi$
$887$	−30.9346	−	30.9346i	−1.03868	−	1.03868i	−0.0394616	−	0.999221i	$-0.512564\pi$
$888$	−11.8946	+	34.1874i	−0.399157	+	1.14725i
$889$	15.7542	−	15.7542i	0.528379	−	0.528379i
$890$	3.68026	−	21.3117i	0.123362	−	0.714371i
$891$	1.20964	−	2.40878i	0.0405244	−	0.0806972i
$892$	8.87813	+	18.6933i	0.297262	+	0.625897i
$893$	5.67862	−	13.7094i	0.190028	−	0.458767i
$894$	−19.4095	+	19.6901i	−0.649150	+	0.658535i
$895$		−	10.5971i		−	0.354222i
$896$	−36.4234	−	37.8273i	−1.21682	−	1.26372i
$897$	−2.76013	+	1.77257i	−0.0921579	+	0.0591843i
$898$	−22.4101	+	5.05132i	−0.747834	+	0.168565i
$899$	−6.54585	−	2.71138i	−0.218316	−	0.0904295i
$900$	0.305278	+	21.2674i	0.0101759	+	0.708912i
$901$	2.62412	+	6.33518i	0.0874220	+	0.211055i
$902$	−2.25446	−	0.389316i	−0.0750654	−	0.0129628i
$903$	−9.26342	+	42.5172i	−0.308267	+	1.41488i
$904$	−32.3485	−	41.2449i	−1.07590	−	1.37179i
$905$	−14.5752	+	14.5752i	−0.484496	+	0.484496i
$906$	−44.1955	−	17.9359i	−1.46830	−	0.595879i
$907$	−5.03654	−	12.1593i	−0.167235	−	0.403742i	0.817937	−	0.575307i	$-0.195118\pi$
$907$	−5.03654	−	12.1593i	−0.167235	−	0.403742i	−0.985173	+	0.171565i	$0.945118\pi$
$908$	−22.6587	+	1.14975i	−0.751956	+	0.0381557i
$909$	−5.98069	+	5.56102i	−0.198367	+	0.184447i
$910$	6.58124	+	4.16010i	0.218166	+	0.137906i
$911$		−	32.5810i		−	1.07946i	−0.841840	−	0.539728i	$-0.818527\pi$
$911$		−	32.5810i		−	1.07946i	0.841840	−	0.539728i	$-0.181473\pi$
$912$	14.7839	−	11.7674i	0.489545	−	0.389659i
$913$			2.82055i			0.0933464i
$914$	−3.03681	+	4.80420i	−0.100449	+	0.158909i
$915$	−59.1282	+	10.6482i	−1.95472	+	0.352019i
$916$	28.6770	+	25.9073i	0.947516	+	0.856002i
$917$	38.8587	+	93.8133i	1.28323	+	3.09799i
$918$	−7.14622	−	7.57576i	−0.235861	−	0.250037i
$919$	−8.42914	+	8.42914i	−0.278052	+	0.278052i	−0.832331	−	0.554279i	$-0.812994\pi$
$919$	−8.42914	+	8.42914i	−0.278052	+	0.278052i	0.554279	+	0.832331i	$0.312994\pi$
$920$	10.3822	+	37.1670i	0.342293	+	1.22536i
$921$	36.1144	+	7.86841i	1.19001	+	0.259273i
$922$	−5.43475	+	31.4717i	−0.178984	+	1.03647i
$923$	0.829774	+	2.00325i	0.0273123	+	0.0659378i
$924$	−4.68988	+	1.09254i	−0.154286	+	0.0359420i
$925$	−24.1989	−	10.0235i	−0.795655	−	0.329571i
$926$	6.95319	+	30.8477i	0.228496	+	1.01372i
$927$	−1.28430	−	0.587524i	−0.0421821	−	0.0192968i
$928$	7.25773	−	6.31172i	0.238247	−	0.207192i
$929$		−	28.0122i		−	0.919051i	−0.888165	−	0.459525i	$-0.848019\pi$
$929$		−	28.0122i		−	0.919051i	0.888165	−	0.459525i	$-0.151981\pi$
$930$	20.9460	−	21.2488i	0.686846	−	0.696776i
$931$	15.1791	−	36.6456i	0.497474	−	1.20101i
$932$	15.1491	−	42.5548i	0.496224	−	1.39393i
$933$	21.2626	+	14.7730i	0.696105	+	0.483647i
$934$	−13.0496	−	2.25349i	−0.426996	−	0.0737366i
$935$	0.877339	−	0.877339i	0.0286920	−	0.0286920i
$936$	−2.78461	+	2.02498i	−0.0910179	+	0.0661886i
$937$	−16.3178	−	16.3178i	−0.533079	−	0.533079i	0.388408	−	0.921487i	$-0.373025\pi$
$937$	−16.3178	−	16.3178i	−0.533079	−	0.533079i	−0.921487	+	0.388408i	$0.873025\pi$
$938$	41.5184	+	58.8509i	1.35562	+	1.92155i
$939$	33.6259	−	48.3972i	1.09734	−	1.57938i
$940$	23.6033	+	21.3237i	0.769856	+	0.695501i
$941$	10.7582	+	4.45619i	0.350707	+	0.145268i	0.551081	−	0.834452i	$-0.314216\pi$
$941$	10.7582	+	4.45619i	0.350707	+	0.145268i	−0.200374	+	0.979720i	$0.564216\pi$
$942$	0.151203	+	21.0683i	0.00492646	+	0.686444i
$943$	−25.2112			−0.820991
$944$	−13.7866	−	4.13365i	−0.448715	−	0.134539i
$945$	−69.7929	+	9.96578i	−2.27036	+	0.324187i
$946$	1.22495	−	1.93786i	0.0398266	−	0.0630054i
$947$	9.56768	−	23.0984i	0.310908	−	0.750598i	−0.688764	−	0.724985i	$-0.741847\pi$
$947$	9.56768	−	23.0984i	0.310908	−	0.750598i	0.999672	−	0.0256122i	$-0.00815350\pi$
$948$	13.5739	−	9.72281i	0.440859	−	0.315782i
$949$	2.06305	−	0.854544i	0.0669695	−	0.0277397i
$950$	7.88193	+	11.1723i	0.255723	+	0.362479i
$951$	8.60914	−	39.5142i	0.279170	−	1.28134i
$952$	−2.23289	+	18.4711i	−0.0723684	+	0.598651i
$953$	−3.73365	−	3.73365i	−0.120945	−	0.120945i	0.644044	−	0.764989i	$-0.277255\pi$
$953$	−3.73365	−	3.73365i	−0.120945	−	0.120945i	−0.764989	+	0.644044i	$0.777255\pi$
$954$	−11.5916	+	16.9417i	−0.375291	+	0.548509i
$955$	−50.7986	+	21.0415i	−1.64380	+	0.680886i
$956$	19.3188	+	40.6765i	0.624815	+	1.31557i
$957$	−0.156324	−	0.868048i	−0.00505324	−	0.0280600i
$958$	0.471255	+	2.09071i	0.0152256	+	0.0675479i
$959$	−83.5622			−2.69836
$960$	13.1357	+	38.3155i	0.423952	+	1.23663i
$961$	13.6359			0.439869
$962$	−0.932321	−	4.13623i	−0.0300592	−	0.133357i
$963$	0.937579	−	0.871788i	0.0302130	−	0.0280930i
$964$	18.6951	+	39.3633i	0.602129	+	1.26781i
$965$	30.1118	−	12.4727i	0.969334	−	0.401511i
$966$	−48.8786	+	20.6584i	−1.57264	+	0.664673i
$967$	−32.6431	−	32.6431i	−1.04973	−	1.04973i	−0.998697	−	0.0510357i	$-0.983748\pi$
$967$	−32.6431	−	32.6431i	−1.04973	−	1.04973i	−0.0510357	−	0.998697i	$-0.516252\pi$
$968$	−30.6360	−	3.70345i	−0.984677	−	0.119033i
$969$	−6.54132	−	1.42519i	−0.210138	−	0.0457836i
$970$	26.2042	+	37.1436i	0.841368	+	1.19261i
$971$	−51.2848	+	21.2429i	−1.64581	+	0.681716i	−0.996865	−	0.0791224i	$-0.974788\pi$
$971$	−51.2848	+	21.2429i	−1.64581	+	0.681716i	−0.648942	+	0.760838i	$0.724788\pi$
$972$	7.30522	−	30.3090i	0.234315	−	0.972161i
$973$	0.897811	−	2.16751i	0.0287825	−	0.0694871i
$974$	11.4465	−	18.1083i	0.366770	−	0.580227i
$975$	−1.34628	−	2.09634i	−0.0431155	−	0.0671367i
$976$	−41.7878	+	22.5094i	−1.33759	+	0.720509i
$977$	25.6955			0.822072			0.411036	−	0.911619i	$-0.365167\pi$
$977$	25.6955			0.822072			0.411036	+	0.911619i	$0.365167\pi$
$978$	30.5716	−	0.219406i	0.977571	−	0.00701582i
$979$	−1.44755	−	0.599596i	−0.0462640	−	0.0191632i
$980$	63.0923	+	56.9987i	2.01541	+	1.82076i
$981$	0.517824	−	14.2411i	0.0165328	−	0.454685i
$982$	−17.8733	−	25.3348i	−0.570361	−	0.808467i
$983$	−40.5980	−	40.5980i	−1.29487	−	1.29487i	−0.931735	−	0.363140i	$-0.881705\pi$
$983$	−40.5980	−	40.5980i	−1.29487	−	1.29487i	−0.363140	−	0.931735i	$-0.618295\pi$
$984$	−26.4179	+	1.53065i	−0.842172	+	0.0487952i
$985$	−33.0322	+	33.0322i	−1.05249	+	1.05249i
$986$	−3.35814	−	0.579906i	−0.106945	−	0.0184680i
$987$	−24.9579	+	35.9215i	−0.794419	+	1.14339i
$988$	−0.742286	+	2.08513i	−0.0236153	+	0.0663370i
$989$	9.66786	−	23.3403i	0.307420	−	0.742177i
$990$	3.63476	+	0.764640i	0.115520	+	0.0243019i
$991$			31.4960i			1.00050i	0.865880	+	0.500251i	$0.166759\pi$
$991$			31.4960i			1.00050i	−0.865880	+	0.500251i	$0.833241\pi$
$992$	10.5135	−	21.0978i	0.333802	−	0.669856i
$993$	26.1169	+	40.6676i	0.828795	+	1.29055i
$994$	7.71286	+	34.2180i	0.244637	+	1.08533i
$995$	−2.62078	−	1.08556i	−0.0830844	−	0.0344147i
$996$	7.40178	+	31.7731i	0.234534	+	1.00677i
$997$	−7.47755	−	18.0524i	−0.236816	−	0.571726i	0.760134	−	0.649767i	$-0.225133\pi$
$997$	−7.47755	−	18.0524i	−0.236816	−	0.571726i	−0.996950	+	0.0780412i	$0.975133\pi$
$998$	2.67065	−	15.4653i	0.0845378	−	0.489544i
$999$	30.7131	+	23.0380i	0.971720	+	0.728889i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	96.2.o.a.35.7	yes	56
3.2	odd	2	inner	96.2.o.a.35.8	yes	56
4.3	odd	2		384.2.o.a.47.14		56
8.3	odd	2		768.2.o.a.95.1		56
8.5	even	2		768.2.o.b.95.14		56
12.11	even	2		384.2.o.a.47.5		56
24.5	odd	2		768.2.o.b.95.5		56
24.11	even	2		768.2.o.a.95.10		56
32.5	even	8		768.2.o.a.671.10		56
32.11	odd	8	inner	96.2.o.a.11.8	yes	56
32.21	even	8		384.2.o.a.335.5		56
32.27	odd	8		768.2.o.b.671.5		56
96.5	odd	8		768.2.o.a.671.1		56
96.11	even	8	inner	96.2.o.a.11.7	✓	56
96.53	odd	8		384.2.o.a.335.14		56
96.59	even	8		768.2.o.b.671.14		56

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
96.2.o.a.11.7	✓	56	96.11	even	8	inner
96.2.o.a.11.8	yes	56	32.11	odd	8	inner
96.2.o.a.35.7	yes	56	1.1	even	1	trivial
96.2.o.a.35.8	yes	56	3.2	odd	2	inner
384.2.o.a.47.5		56	12.11	even	2
384.2.o.a.47.14		56	4.3	odd	2
384.2.o.a.335.5		56	32.21	even	8
384.2.o.a.335.14		56	96.53	odd	8
768.2.o.a.95.1		56	8.3	odd	2
768.2.o.a.95.10		56	24.11	even	2
768.2.o.a.671.1		56	96.5	odd	8
768.2.o.a.671.10		56	32.5	even	8
768.2.o.b.95.5		56	24.5	odd	2
768.2.o.b.95.14		56	8.5	even	2
768.2.o.b.671.5		56	32.27	odd	8
768.2.o.b.671.14		56	96.59	even	8

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:	\( N \)	\(=\)	\( 96 = 2^{5} \cdot 3 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	96.o (of order \(8\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.310967 - 1.37960i) q^{2} +(-1.70463 + 0.306981i) q^{3} +(-1.80660 + 0.858022i) q^{4} +(-2.70066 + 1.11865i) q^{5} +(0.953596 + 2.25625i) q^{6} +(-3.28204 - 3.28204i) q^{7} +(1.74552 + 2.22557i) q^{8} +(2.81152 - 1.04658i) q^{9} +O(q^{10})\)	\(q+(-0.310967 - 1.37960i) q^{2} +(-1.70463 + 0.306981i) q^{3} +(-1.80660 + 0.858022i) q^{4} +(-2.70066 + 1.11865i) q^{5} +(0.953596 + 2.25625i) q^{6} +(-3.28204 - 3.28204i) q^{7} +(1.74552 + 2.22557i) q^{8} +(2.81152 - 1.04658i) q^{9} +(2.38311 + 3.37797i) q^{10} +(0.276697 - 0.114612i) q^{11} +(2.81619 - 2.01720i) q^{12} +(-0.155281 + 0.374881i) q^{13} +(-3.50730 + 5.54851i) q^{14} +(4.26022 - 2.73593i) q^{15} +(2.52760 - 3.10020i) q^{16} -1.41723 q^{17} +(-2.31815 - 3.55333i) q^{18} +(-2.51972 - 1.04370i) q^{19} +(3.91918 - 4.33817i) q^{20} +(6.60218 + 4.58713i) q^{21} +(-0.244162 - 0.346091i) q^{22} +(-3.30034 - 3.30034i) q^{23} +(-3.65867 - 3.25793i) q^{24} +(2.50664 - 2.50664i) q^{25} +(0.565473 + 0.0976497i) q^{26} +(-4.47133 + 2.64711i) q^{27} +(8.74538 + 3.11326i) q^{28} +(-0.650676 + 1.57087i) q^{29} +(-5.09929 - 5.02661i) q^{30} +4.16702i q^{31} +(-5.06304 - 2.52301i) q^{32} +(-0.436482 + 0.280311i) q^{33} +(0.440711 + 1.95521i) q^{34} +(12.5351 + 5.19221i) q^{35} +(-4.18131 + 4.30310i) q^{36} +(-2.82757 - 6.82635i) q^{37} +(-0.656341 + 3.80076i) q^{38} +(0.149615 - 0.686701i) q^{39} +(-7.20368 - 4.05787i) q^{40} +(3.81949 - 3.81949i) q^{41} +(4.27535 - 10.5348i) q^{42} +(2.07136 + 5.00071i) q^{43} +(-0.401541 + 0.444469i) q^{44} +(-6.42221 + 5.97156i) q^{45} +(-3.52686 + 5.57945i) q^{46} +5.44085i q^{47} +(-3.35691 + 6.06062i) q^{48} +14.5435i q^{49} +(-4.23765 - 2.67868i) q^{50} +(2.41585 - 0.435062i) q^{51} +(-0.0411259 - 0.810493i) q^{52} +(-1.85159 - 4.47012i) q^{53} +(5.04240 + 5.34548i) q^{54} +(-0.619053 + 0.619053i) q^{55} +(1.57553 - 13.0333i) q^{56} +(4.61558 + 1.00562i) q^{57} +(2.36951 + 0.409184i) q^{58} +(-1.37699 - 3.32434i) q^{59} +(-5.34901 + 8.59809i) q^{60} +(-10.9629 - 4.54098i) q^{61} +(5.74883 - 1.29581i) q^{62} +(-12.6624 - 5.79262i) q^{63} +(-1.90631 + 7.76955i) q^{64} -1.18613i q^{65} +(0.522449 + 0.515003i) q^{66} +(4.19888 - 10.1370i) q^{67} +(2.56036 - 1.21601i) q^{68} +(6.63900 + 4.61272i) q^{69} +(3.26517 - 18.9080i) q^{70} +(3.77857 - 3.77857i) q^{71} +(7.23681 + 4.43042i) q^{72} +(-3.89137 - 3.89137i) q^{73} +(-8.53836 + 6.02369i) q^{74} +(-3.50340 + 5.04239i) q^{75} +(5.44763 - 0.276423i) q^{76} +(-1.28429 - 0.531970i) q^{77} +(-0.993899 + 0.00713300i) q^{78} +4.81995 q^{79} +(-3.35814 + 11.2001i) q^{80} +(6.80935 - 5.88497i) q^{81} +(-6.45711 - 4.08164i) q^{82} +(-3.60399 + 8.70081i) q^{83} +(-15.8634 - 2.62229i) q^{84} +(3.82744 - 1.58538i) q^{85} +(6.25486 - 4.41271i) q^{86} +(0.626933 - 2.87750i) q^{87} +(0.738056 + 0.415751i) q^{88} +(-3.69926 - 3.69926i) q^{89} +(10.2355 + 7.00313i) q^{90} +(1.74001 - 0.720735i) q^{91} +(8.79416 + 3.13063i) q^{92} +(-1.27920 - 7.10323i) q^{93} +(7.50620 - 1.69193i) q^{94} +7.97242 q^{95} +(9.40513 + 2.74655i) q^{96} +10.9958 q^{97} +(20.0643 - 4.52256i) q^{98} +(0.657990 - 0.611818i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 56 q - 4 q^{3} - 8 q^{4} - 4 q^{6} - 8 q^{7} - 4 q^{9}+O(q^{10}) \) 56 * q - 4 * q^3 - 8 * q^4 - 4 * q^6 - 8 * q^7 - 4 * q^9	\( 56 q - 4 q^{3} - 8 q^{4} - 4 q^{6} - 8 q^{7} - 4 q^{9} - 16 q^{10} - 4 q^{12} - 8 q^{13} - 8 q^{15} - 40 q^{16} - 4 q^{18} - 8 q^{19} - 4 q^{21} - 24 q^{22} + 16 q^{24} - 8 q^{25} - 28 q^{27} - 8 q^{28} + 44 q^{30} - 8 q^{33} - 24 q^{34} + 48 q^{36} - 8 q^{37} - 28 q^{39} + 24 q^{40} + 56 q^{42} - 8 q^{43} - 4 q^{45} + 24 q^{46} + 48 q^{48} - 16 q^{51} + 48 q^{52} + 40 q^{54} + 24 q^{55} - 4 q^{57} + 96 q^{58} + 8 q^{60} - 40 q^{61} + 40 q^{64} - 28 q^{66} + 56 q^{67} - 4 q^{69} + 40 q^{70} - 64 q^{72} - 8 q^{73} + 16 q^{75} + 48 q^{76} - 92 q^{78} + 16 q^{79} - 48 q^{82} - 136 q^{84} - 48 q^{85} + 52 q^{87} - 48 q^{88} - 136 q^{90} + 40 q^{91} + 8 q^{93} - 64 q^{94} - 104 q^{96} - 16 q^{97} + 60 q^{99}+O(q^{100}) \) 56 * q - 4 * q^3 - 8 * q^4 - 4 * q^6 - 8 * q^7 - 4 * q^9 - 16 * q^10 - 4 * q^12 - 8 * q^13 - 8 * q^15 - 40 * q^16 - 4 * q^18 - 8 * q^19 - 4 * q^21 - 24 * q^22 + 16 * q^24 - 8 * q^25 - 28 * q^27 - 8 * q^28 + 44 * q^30 - 8 * q^33 - 24 * q^34 + 48 * q^36 - 8 * q^37 - 28 * q^39 + 24 * q^40 + 56 * q^42 - 8 * q^43 - 4 * q^45 + 24 * q^46 + 48 * q^48 - 16 * q^51 + 48 * q^52 + 40 * q^54 + 24 * q^55 - 4 * q^57 + 96 * q^58 + 8 * q^60 - 40 * q^61 + 40 * q^64 - 28 * q^66 + 56 * q^67 - 4 * q^69 + 40 * q^70 - 64 * q^72 - 8 * q^73 + 16 * q^75 + 48 * q^76 - 92 * q^78 + 16 * q^79 - 48 * q^82 - 136 * q^84 - 48 * q^85 + 52 * q^87 - 48 * q^88 - 136 * q^90 + 40 * q^91 + 8 * q^93 - 64 * q^94 - 104 * q^96 - 16 * q^97 + 60 * q^99

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