LMFDB - Embedded newform 96.2.o.a.11.7

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			11.7
Character	$\chi$	$=$	96.11
Dual form			96.2.o.a.35.7

$q$-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 $\left(\mathbb{Z}/96\mathbb{Z}\right)^\times$.

$n$	$31$	$37$	$65$
$\chi(n)$	$-1$	$e\left(\frac{5}{8}\right)$	$-1$

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	−0.314269	−	0.949334i	$-0.601759\pi$
$5$	−2.70066	−	1.11865i	−1.20777	−	0.500275i	−0.893502	+	0.449059i	$0.851759\pi$
$6$	0.953596	−	2.25625i	0.389304	−	0.921109i
$7$	−3.28204	+	3.28204i	−1.24049	+	1.24049i	−0.280697	+	0.959797i	$0.590565\pi$
$7$	−3.28204	+	3.28204i	−1.24049	+	1.24049i	−0.959797	+	0.280697i	$0.909435\pi$
$8$	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	0.424007	−	0.905659i	$-0.360623\pi$
$11$	0.276697	+	0.114612i	0.0834272	+	0.0345567i	−0.340580	+	0.940216i	$0.610623\pi$
$12$	2.81619	+	2.01720i	0.812963	+	0.582316i
$13$	−0.155281	−	0.374881i	−0.0430671	−	0.103973i	0.900882	−	0.434064i	$-0.142921\pi$
$13$	−0.155281	−	0.374881i	−0.0430671	−	0.103973i	−0.943949	+	0.330091i	$0.892921\pi$
$14$	−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	−0.652506	−	0.757784i	$-0.726282\pi$
$19$	−2.51972	+	1.04370i	−0.578062	+	0.239441i	0.0744431	+	0.997225i	$0.476282\pi$
$20$	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	−0.961827	−	0.273658i	$-0.911766\pi$
$23$	−3.30034	+	3.30034i	−0.688169	+	0.688169i	0.273658	+	0.961827i	$0.411766\pi$
$24$	−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	0.851880	−	0.523736i	$-0.175462\pi$
$29$	−0.650676	−	1.57087i	−0.120827	−	0.291703i	−0.972708	+	0.232033i	$0.925462\pi$
$30$	−5.09929	+	5.02661i	−0.930998	+	0.917730i
$31$		−	4.16702i		−	0.748419i	−0.927344	−	0.374209i	$-0.877914\pi$
$31$		−	4.16702i		−	0.748419i	0.927344	−	0.374209i	$-0.122086\pi$
$32$	−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	0.501534	+	0.865138i	$0.332769\pi$
$37$	−2.82757	+	6.82635i	−0.464849	+	1.12225i	−0.966383	+	0.257107i	$0.917231\pi$
$38$	−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	0.939380	−	0.342877i	$-0.111401\pi$
$41$	3.81949	+	3.81949i	0.596504	+	0.596504i	−0.342877	+	0.939380i	$0.611401\pi$
$42$	4.27535	+	10.5348i	0.659701	+	1.62556i
$43$	2.07136	−	5.00071i	0.315880	−	0.762602i	−0.683584	−	0.729872i	$-0.739580\pi$
$43$	2.07136	−	5.00071i	0.315880	−	0.762602i	0.999464	−	0.0327301i	$-0.0104202\pi$
$44$	−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	$-0.870116\pi$
$47$		−	5.44085i		−	0.793629i	0.917899	−	0.396815i	$-0.129884\pi$
$48$	−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	−0.998545	−	0.0539269i	$-0.982826\pi$
$53$	−1.85159	+	4.47012i	−0.254335	+	0.614019i	0.744210	+	0.667946i	$0.232826\pi$
$54$	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	−0.987814	−	0.155642i	$-0.950255\pi$
$59$	−1.37699	+	3.32434i	−0.179268	+	0.432792i	0.808545	+	0.588434i	$0.200255\pi$
$60$	−5.34901	−	8.59809i	−0.690554	−	1.11001i
$61$	−10.9629	+	4.54098i	−1.40366	+	0.581413i	−0.950698	−	0.310119i	$-0.899631\pi$
$61$	−10.9629	+	4.54098i	−1.40366	+	0.581413i	−0.452958	+	0.891532i	$0.649631\pi$
$62$	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	0.942145	+	0.335206i	$0.108806\pi$
$67$	4.19888	+	10.1370i	0.512974	+	1.23843i	−0.429170	+	0.903224i	$0.641194\pi$
$68$	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	0.894834	−	0.446400i	$-0.147294\pi$
$71$	3.77857	+	3.77857i	0.448434	+	0.448434i	−0.446400	+	0.894834i	$0.647294\pi$
$72$	7.23681	−	4.43042i	0.852866	−	0.522130i
$73$	−3.89137	+	3.89137i	−0.455450	+	0.455450i	−0.897159	−	0.441708i	$-0.854373\pi$
$73$	−3.89137	+	3.89137i	−0.455450	+	0.455450i	0.441708	+	0.897159i	$0.354373\pi$
$74$	−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	−0.988699	−	0.149916i	$-0.952100\pi$
$83$	−3.60399	−	8.70081i	−0.395590	−	0.955038i	0.593109	−	0.805122i	$-0.297900\pi$
$84$	−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	−0.875443	−	0.483322i	$-0.839430\pi$
$89$	−3.69926	+	3.69926i	−0.392121	+	0.392121i	0.483322	+	0.875443i	$0.339430\pi$
$90$	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	0.254032	−	0.967196i	$-0.418243\pi$
$101$	−2.51499	−	1.04174i	−0.250251	−	0.103657i	−0.504283	+	0.863538i	$0.668243\pi$
$102$	−1.35146	+	3.19762i	−0.133815	+	0.316611i
$103$	−0.332885	+	0.332885i	−0.0328001	+	0.0328001i	−0.723317	−	0.690517i	$-0.757383\pi$
$103$	−0.332885	+	0.332885i	−0.0328001	+	0.0328001i	0.690517	+	0.723317i	$0.257383\pi$
$104$	−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	0.401660	−	0.915789i	$-0.368433\pi$
$107$	0.394269	+	0.163312i	0.0381154	+	0.0157879i	−0.363544	+	0.931577i	$0.618433\pi$
$108$	5.80661	+	8.61877i	0.558742	+	0.829342i
$109$	1.81782	+	4.38860i	0.174115	+	0.420352i	0.986713	−	0.162474i	$-0.0519472\pi$
$109$	1.81782	+	4.38860i	0.174115	+	0.420352i	−0.812598	+	0.582825i	$0.801947\pi$
$110$	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	$-0.931686\pi$
$127$		−	4.80013i		−	0.425943i	0.977058	−	0.212971i	$-0.0683141\pi$
$128$	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	−0.770328	+	0.637648i	$0.779907\pi$
$131$	−20.2118	+	8.37202i	−1.76592	+	0.731467i	−0.995589	+	0.0938185i	$0.970093\pi$
$132$	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	0.995773	+	0.0918436i	$0.0292760\pi$
$137$	12.7302	+	12.7302i	1.08762	+	1.08762i	0.0918436	+	0.995773i	$0.470724\pi$
$138$	4.29920	+	10.5936i	0.365972	+	0.901785i
$139$	0.193431	−	0.466984i	0.0164066	−	0.0396091i	−0.915464	−	0.402400i	$-0.868176\pi$
$139$	0.193431	−	0.466984i	0.0164066	−	0.0396091i	0.931871	+	0.362791i	$0.118176\pi$
$140$	−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	−0.642269	−	0.766479i	$-0.722007\pi$
$149$	4.31949	−	10.4282i	0.353866	−	0.854308i	0.996136	−	0.0878294i	$-0.0279930\pi$
$150$	8.04593	−	3.26528i	0.656947	−	0.266609i
$151$	−13.7687	−	13.7687i	−1.12048	−	1.12048i	−0.991669	−	0.128814i	$-0.958883\pi$
$151$	−13.7687	−	13.7687i	−1.12048	−	1.12048i	−0.128814	−	0.991669i	$-0.541117\pi$
$152$	−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	−0.0423321	−	0.999104i	$-0.513479\pi$
$157$	7.94660	−	3.29159i	0.634208	−	0.262697i	0.676540	+	0.736406i	$0.263479\pi$
$158$	−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	0.993045	+	0.117739i	$0.0375645\pi$
$163$	4.77631	+	11.5310i	0.374110	+	0.903181i	−0.618935	+	0.785442i	$0.712435\pi$
$164$	−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	−0.988076	−	0.153970i	$-0.950794\pi$
$167$	−14.7585	−	14.7585i	−1.14205	−	1.14205i	−0.153970	−	0.988076i	$-0.549206\pi$
$168$	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	−0.0742253	−	0.997241i	$-0.523648\pi$
$173$	7.60827	−	3.15145i	0.578446	−	0.239600i	0.652671	+	0.757641i	$0.273648\pi$
$174$	−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	0.863515	−	0.504323i	$-0.168258\pi$
$179$	−1.38731	−	3.34926i	−0.103692	−	0.250335i	−0.967208	+	0.253987i	$0.918258\pi$
$180$	6.47863	+	16.2986i	0.482889	+	1.21483i
$181$	6.51464	+	2.69845i	0.484229	+	0.200574i	0.611424	−	0.791303i	$-0.290597\pi$
$181$	6.51464	+	2.69845i	0.484229	+	0.200574i	−0.127194	+	0.991878i	$0.540597\pi$
$182$	−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	0.840575	−	0.541696i	$-0.182217\pi$
$197$	14.7643	+	6.11558i	1.05191	+	0.435717i	0.211340	+	0.977413i	$0.432217\pi$
$198$	−1.04868	+	0.717508i	−0.0745263	+	0.0509911i
$199$	0.686194	−	0.686194i	0.0486430	−	0.0486430i	−0.682367	−	0.731010i	$-0.739049\pi$
$199$	0.686194	−	0.686194i	0.0486430	−	0.0486430i	0.731010	+	0.682367i	$0.239049\pi$
$200$	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	−0.303579	−	0.952806i	$-0.598182\pi$
$211$	2.25868	−	0.935575i	0.155494	−	0.0644076i	0.459073	+	0.888399i	$0.348182\pi$
$212$	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	$0.112613\pi$
$223$			10.3472i			0.692900i	−0.938068	+	0.346450i	$0.887387\pi$
$224$	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	−0.00672494	−	0.999977i	$-0.502141\pi$
$227$	10.4804	−	4.34114i	0.695611	−	0.288131i	0.702336	+	0.711846i	$0.252141\pi$
$228$	−9.20134	−	2.14352i	−0.609374	−	0.141958i
$229$	−7.39471	+	17.8524i	−0.488656	+	1.17972i	0.466740	+	0.884395i	$0.345428\pi$
$229$	−7.39471	+	17.8524i	−0.488656	+	1.17972i	−0.955396	+	0.295326i	$0.904572\pi$
$230$	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	−0.998877	−	0.0473714i	$-0.984916\pi$
$233$	−15.9703	−	15.9703i	−1.04625	−	1.04625i	−0.0473714	−	0.998877i	$-0.515084\pi$
$234$	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	$0.259645\pi$
$239$			22.5155i			1.45641i	−0.685361	+	0.728204i	$0.740355\pi$
$240$	2.28617	+	20.1229i	0.147571	+	1.29893i
$241$			21.7886i			1.40353i	0.712409	+	0.701765i	$0.247604\pi$
$241$			21.7886i			1.40353i	−0.712409	+	0.701765i	$0.752396\pi$
$242$	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	0.615868	+	0.787849i	$0.288805\pi$
$251$	−5.96821	+	14.4085i	−0.376710	+	0.909458i	−0.992578	+	0.121609i	$0.961195\pi$
$252$	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	$-0.879198\pi$
$257$		−	11.8781i		−	0.740934i	0.928846	−	0.370467i	$-0.120802\pi$
$258$	−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	0.598167	−	0.801372i	$-0.295896\pi$
$263$	−3.29543	−	3.29543i	−0.203205	−	0.203205i	−0.801372	+	0.598167i	$0.795896\pi$
$264$	−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	0.649180	−	0.760635i	$-0.275112\pi$
$269$	26.9975	−	11.1827i	1.64607	−	0.681824i	0.996890	+	0.0788107i	$0.0251123\pi$
$270$	−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	0.0549177	−	0.998491i	$-0.482510\pi$
$277$	−10.1905	−	4.22105i	−0.612289	−	0.253619i	−0.667207	+	0.744872i	$0.732510\pi$
$278$	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	−0.989069	−	0.147453i	$-0.952893\pi$
$281$	−14.1081	+	14.1081i	−0.841616	+	0.841616i	0.147453	+	0.989069i	$0.452893\pi$
$282$	−12.2759	−	5.18837i	−0.731020	−	0.308963i
$283$	17.2200	+	7.13275i	1.02362	+	0.423998i	0.830406	−	0.557159i	$-0.188108\pi$
$283$	17.2200	+	7.13275i	1.02362	+	0.423998i	0.193215	+	0.981156i	$0.438108\pi$
$284$	−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	−0.353577	−	0.935405i	$-0.615035\pi$
$293$	−21.6538	−	8.96928i	−1.26503	−	0.523991i	−0.911448	+	0.411414i	$0.865035\pi$
$294$	−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	−0.866153	−	0.499779i	$-0.833415\pi$
$307$	−19.7154	+	8.16639i	−1.12522	+	0.466081i	−0.259065	+	0.965860i	$0.583415\pi$
$308$	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	−0.940144	−	0.340779i	$-0.889309\pi$
$311$	−10.5699	+	10.5699i	−0.599365	+	0.599365i	0.340779	+	0.940144i	$0.389309\pi$
$312$	1.78946	+	0.865673i	0.101308	+	0.0490091i
$313$	−24.0589	−	24.0589i	−1.35989	−	1.35989i	−0.874044	−	0.485846i	$-0.838511\pi$
$313$	−24.0589	−	24.0589i	−1.35989	−	1.35989i	−0.485846	−	0.874044i	$-0.661489\pi$
$314$	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	−0.948475	−	0.316851i	$-0.897375\pi$
$317$	−8.93517	−	21.5714i	−0.501849	−	1.21157i	0.446626	−	0.894721i	$-0.352625\pi$
$318$	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	0.299467	+	0.954107i	$0.403191\pi$
$331$	−10.6785	+	25.7802i	−0.586943	+	1.41701i	−0.886411	+	0.462900i	$0.846809\pi$
$332$	−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	$-0.932540\pi$
$337$		−	7.72298i		−	0.420698i	0.977626	−	0.210349i	$-0.0674600\pi$
$338$	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	−0.827208	−	0.561896i	$-0.810072\pi$
$347$	2.88801	−	6.97227i	0.155037	−	0.374291i	0.982245	+	0.187604i	$0.0600723\pi$
$348$	1.33634	−	5.73641i	0.0716352	−	0.307504i
$349$	3.70439	−	1.53441i	0.198292	−	0.0821351i	−0.281328	−	0.959612i	$-0.590775\pi$
$349$	3.70439	−	1.53441i	0.198292	−	0.0821351i	0.479619	+	0.877477i	$0.340775\pi$
$350$	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	$0.342018\pi$
$353$			33.0427i			1.75869i	−0.476189	+	0.879343i	$0.657982\pi$
$354$	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	0.679457	−	0.733715i	$-0.262215\pi$
$359$	−1.02805	−	1.02805i	−0.0542584	−	0.0542584i	−0.733715	+	0.679457i	$0.762215\pi$
$360$	−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	0.0611312	−	0.998130i	$-0.480529\pi$
$373$	−11.6155	−	4.81129i	−0.601427	−	0.249119i	−0.662558	+	0.749011i	$0.730529\pi$
$374$	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	−0.0454550	−	0.998966i	$-0.514474\pi$
$379$	−15.2623	−	6.32186i	−0.783972	−	0.324732i	−0.738517	+	0.674234i	$0.764474\pi$
$380$	−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	0.536903	−	0.843644i	$-0.319594\pi$
$389$	6.31149	+	2.61431i	0.320005	+	0.132551i	−0.216898	+	0.976194i	$0.569594\pi$
$390$	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	0.876604	−	0.481212i	$-0.159803\pi$
$397$	−1.66407	−	4.01741i	−0.0835171	−	0.201628i	−0.960121	+	0.279584i	$0.909803\pi$
$398$	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	0.949979	−	0.312314i	$-0.101104\pi$
$409$	12.8960	+	12.8960i	0.637664	+	0.637664i	−0.312314	+	0.949979i	$0.601104\pi$
$410$	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	−0.520113	−	0.854097i	$-0.674110\pi$
$419$	−5.81232	+	2.40754i	−0.283951	+	0.117616i	0.236163	+	0.971714i	$0.424110\pi$
$420$	45.7749	+	10.6636i	2.23359	+	0.520331i
$421$	7.88620	−	19.0390i	0.384350	−	0.927903i	−0.606763	−	0.794883i	$-0.707532\pi$
$421$	7.88620	−	19.0390i	0.384350	−	0.927903i	0.991113	−	0.133020i	$-0.0424676\pi$
$422$	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	$0.301173\pi$
$431$			33.6809i			1.62235i	−0.584801	+	0.811177i	$0.698827\pi$
$432$	−3.09513	−	20.5529i	−0.148914	−	0.988850i
$433$			20.3471i			0.977819i	0.872335	+	0.488909i	$0.162605\pi$
$433$			20.3471i			0.977819i	−0.872335	+	0.488909i	$0.837395\pi$
$434$	−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	0.939089	−	0.343675i	$-0.111672\pi$
$439$	12.4753	+	12.4753i	0.595414	+	0.595414i	−0.343675	+	0.939089i	$0.611672\pi$
$440$	−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	−0.435030	−	0.900416i	$-0.643262\pi$
$443$	10.7190	−	25.8778i	0.509273	−	1.22949i	0.944303	−	0.329077i	$-0.106738\pi$
$444$	−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	$0.125212\pi$
$449$			16.2439i			0.766596i	−0.923625	+	0.383298i	$0.874788\pi$
$450$	−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	−0.770442	−	0.637510i	$-0.779965\pi$
$457$	−2.84177	+	2.84177i	−0.132932	+	0.132932i	0.637510	+	0.770442i	$0.279965\pi$
$458$	−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	−0.811361	−	0.584546i	$-0.801273\pi$
$461$	−20.8642	+	8.64224i	−0.971743	+	0.402509i	−0.160382	+	0.987055i	$0.551273\pi$
$462$	−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	0.984847	−	0.173428i	$-0.0554844\pi$
$467$	3.58346	+	8.65124i	0.165823	+	0.400332i	−0.819024	+	0.573760i	$0.805484\pi$
$468$	−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	−0.421466	−	0.906844i	$-0.638484\pi$
$487$	10.7114	−	10.7114i	0.485378	−	0.485378i	0.906844	+	0.421466i	$0.138484\pi$
$488$	−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	0.789623	−	0.613593i	$-0.210276\pi$
$491$	20.2550	+	8.38989i	0.914095	+	0.378630i	0.124472	+	0.992223i	$0.460276\pi$
$492$	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	−0.141203	−	0.989981i	$-0.545097\pi$
$499$	10.2527	−	4.24681i	0.458974	−	0.190113i	0.600177	+	0.799867i	$0.295097\pi$
$500$	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	−0.291052	−	0.956707i	$-0.594005\pi$
$503$	14.9291	−	14.9291i	0.665655	−	0.665655i	0.956707	+	0.291052i	$0.0940054\pi$
$504$	−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	0.935415	−	0.353553i	$-0.115027\pi$
$509$	0.540947	+	1.30596i	0.0239770	+	0.0578857i	−0.911438	+	0.411438i	$0.865027\pi$
$510$	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	0.613539	−	0.789664i	$-0.289745\pi$
$521$	−4.02013	−	4.02013i	−0.176125	−	0.176125i	−0.789664	+	0.613539i	$0.789745\pi$
$522$	7.09019	+	1.32945i	0.310329	+	0.0581885i
$523$	2.35502	−	5.68552i	0.102978	−	0.248610i	−0.863990	−	0.503509i	$-0.832042\pi$
$523$	2.35502	−	5.68552i	0.102978	−	0.248610i	0.966968	+	0.254899i	$0.0820421\pi$
$524$	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	0.285230	−	0.958459i	$-0.407930\pi$
$541$	27.0891	−	11.2207i	1.16465	−	0.482414i	0.879421	+	0.476045i	$0.157930\pi$
$542$	−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	0.963752	−	0.266800i	$-0.0859662\pi$
$547$	2.18960	+	5.28616i	0.0936205	+	0.226020i	−0.870132	+	0.492820i	$0.835966\pi$
$548$	−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	−0.956030	−	0.293268i	$-0.905257\pi$
$557$	−33.6235	+	13.9273i	−1.42467	+	0.590119i	−0.468644	+	0.883387i	$0.655257\pi$
$558$	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	0.977997	+	0.208620i	$0.0668972\pi$
$563$	10.2970	+	24.8591i	0.433965	+	1.04768i	−0.544031	+	0.839065i	$0.683103\pi$
$564$	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	−0.594101	−	0.804390i	$-0.702492\pi$
$569$	5.01618	−	5.01618i	0.210289	−	0.210289i	0.804390	+	0.594101i	$0.202492\pi$
$570$	7.60247	−	17.9878i	0.318432	−	0.753424i
$571$	−8.20928	−	3.40040i	−0.343548	−	0.142302i	0.204237	−	0.978921i	$-0.434529\pi$
$571$	−8.20928	−	3.40040i	−0.343548	−	0.142302i	−0.547785	+	0.836619i	$0.684529\pi$
$572$	−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	0.792240	−	0.610210i	$-0.208915\pi$
$587$	22.3129	+	9.24233i	0.920954	+	0.381472i	0.128714	+	0.991682i	$0.458915\pi$
$588$	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	−0.601992	−	0.798502i	$-0.705626\pi$
$599$	4.80949	−	4.80949i	0.196511	−	0.196511i	0.798502	+	0.601992i	$0.205626\pi$
$600$	−17.3374	−	1.00453i	−0.707798	−	0.0410097i
$601$	5.18282	+	5.18282i	0.211411	+	0.211411i	0.804867	−	0.593455i	$-0.202237\pi$
$601$	5.18282	+	5.18282i	0.211411	+	0.211411i	−0.593455	+	0.804867i	$0.702237\pi$
$602$	−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	$0.0336398\pi$
$607$			5.19779i			0.210972i	−0.994421	+	0.105486i	$0.966360\pi$
$608$	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	−0.463087	−	0.886313i	$-0.653258\pi$
$613$	12.1586	−	29.3536i	0.491083	−	1.18558i	0.954170	−	0.299266i	$-0.0967419\pi$
$614$	−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	0.455548	−	0.890211i	$-0.349443\pi$
$617$	−10.7968	−	10.7968i	−0.434663	−	0.434663i	−0.890211	+	0.455548i	$0.849443\pi$
$618$	0.433633	+	1.06851i	0.0174433	+	0.0429817i
$619$	−11.7667	+	28.4074i	−0.472944	+	1.14179i	0.489912	+	0.871772i	$0.337029\pi$
$619$	−11.7667	+	28.4074i	−0.472944	+	1.14179i	−0.962856	+	0.270016i	$0.912971\pi$
$620$	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	0.596600	−	0.802539i	$-0.296518\pi$
$631$	−5.17311	−	5.17311i	−0.205938	−	0.205938i	−0.802539	+	0.596600i	$0.796518\pi$
$632$	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	$-0.752437\pi$
$641$		−	35.5298i		−	1.40334i	0.712500	−	0.701672i	$-0.247563\pi$
$642$	0.744445	−	0.733835i	0.0293809	−	0.0289622i
$643$	3.04889	+	7.36067i	0.120237	+	0.290277i	0.972526	−	0.232793i	$-0.0747866\pi$
$643$	3.04889	+	7.36067i	0.120237	+	0.290277i	−0.852290	+	0.523070i	$0.824787\pi$
$644$	−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	0.866536	−	0.499115i	$-0.166341\pi$
$647$	9.34579	+	9.34579i	0.367421	+	0.367421i	−0.499115	+	0.866536i	$0.666341\pi$
$648$	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	−0.443233	−	0.896406i	$-0.646169\pi$
$653$	−3.13779	+	1.29972i	−0.122791	+	0.0508618i	0.320442	+	0.947268i	$0.396169\pi$
$654$	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	−0.964004	−	0.265889i	$-0.914335\pi$
$659$	−12.0747	−	29.1508i	−0.470362	−	1.13555i	0.493642	−	0.869665i	$-0.335665\pi$
$660$	−0.494613	−	2.99212i	−0.0192528	−	0.116468i
$661$	21.5134	+	8.91114i	0.836774	+	0.346603i	0.759581	−	0.650413i	$-0.225404\pi$
$661$	21.5134	+	8.91114i	0.836774	+	0.346603i	0.0771932	+	0.997016i	$0.475404\pi$
$662$	−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	0.499714	−	0.866191i	$-0.333438\pi$
$677$	6.25960	+	2.59281i	0.240576	+	0.0996498i	−0.259138	+	0.965840i	$0.583438\pi$
$678$	−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	−0.181657	−	0.983362i	$-0.558146\pi$
$683$	−26.2767	−	10.8842i	−1.00545	−	0.416471i	−0.823793	+	0.566891i	$0.808146\pi$
$684$	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	−0.821855	−	0.569697i	$-0.807061\pi$
$691$	−26.2910	+	10.8901i	−1.00016	+	0.414279i	−0.178303	+	0.983976i	$0.557061\pi$
$692$	−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	0.879383	+	0.476116i	$0.157956\pi$
$701$	15.7331	+	37.9830i	0.594230	+	1.43460i	−0.285153	+	0.958482i	$0.592044\pi$
$702$	−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	−0.850718	−	0.525622i	$-0.823833\pi$
$709$	3.26185	−	7.87481i	0.122501	−	0.295745i	0.973220	+	0.229877i	$0.0738325\pi$
$710$	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	$-0.959979\pi$
$719$		−	6.72495i		−	0.250798i	0.992106	−	0.125399i	$-0.0400211\pi$
$720$	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	0.451132	−	0.892457i	$-0.351021\pi$
$727$	−11.8994	−	11.8994i	−0.441326	−	0.441326i	−0.892457	+	0.451132i	$0.851021\pi$
$728$	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	−0.831861	−	0.554984i	$-0.812724\pi$
$733$	−27.8224	+	11.5244i	−1.02764	+	0.425664i	−0.195782	+	0.980647i	$0.562724\pi$
$734$	−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	−0.996833	−	0.0795214i	$-0.974661\pi$
$739$	−9.46555	−	22.8519i	−0.348196	−	0.840619i	0.648637	−	0.761098i	$-0.275339\pi$
$740$	−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	0.955966	+	0.293479i	$0.0948130\pi$
$743$	34.0574	+	34.0574i	1.24944	+	1.24944i	0.293479	+	0.955966i	$0.405187\pi$
$744$	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	0.796851	−	0.604176i	$-0.206498\pi$
$757$	25.6728	+	10.6340i	0.933093	+	0.386500i	0.136242	+	0.990676i	$0.456498\pi$
$758$	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	0.0660371	−	0.997817i	$-0.478964\pi$
$761$	29.3477	−	29.3477i	1.06385	−	1.06385i	0.997817	−	0.0660371i	$-0.0210356\pi$
$762$	−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	0.149186	−	0.988809i	$-0.452335\pi$
$773$	−12.3588	−	5.11920i	−0.444517	−	0.184125i	−0.593703	+	0.804684i	$0.702335\pi$
$774$	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	0.419444	−	0.907781i	$-0.362225\pi$
$787$	38.0948	−	15.7794i	1.35793	−	0.562475i	0.938490	+	0.345307i	$0.112225\pi$
$788$	−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	0.800194	−	0.599741i	$-0.204730\pi$
$797$	−5.35573	−	12.9299i	−0.189710	−	0.458000i	−0.989904	+	0.141742i	$0.954730\pi$
$798$	−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	0.241963	−	0.970286i	$-0.422209\pi$
$809$	−20.7156	−	20.7156i	−0.728323	−	0.728323i	−0.970286	+	0.241963i	$0.922209\pi$
$810$	36.1066	−	8.97725i	1.26866	−	0.315428i
$811$	11.3246	−	27.3401i	0.397662	−	0.960040i	−0.590557	−	0.806996i	$-0.701092\pi$
$811$	11.3246	−	27.3401i	0.397662	−	0.960040i	0.988219	−	0.153045i	$-0.0489079\pi$
$812$	−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	−0.999472	−	0.0325031i	$-0.989652\pi$
$821$	−7.72933	+	18.6602i	−0.269755	+	0.651247i	0.729716	+	0.683750i	$0.239652\pi$
$822$	40.8621	−	16.5831i	1.42523	−	0.578401i
$823$	−9.01439	−	9.01439i	−0.314222	−	0.314222i	0.532321	−	0.846543i	$-0.321320\pi$
$823$	−9.01439	−	9.01439i	−0.314222	−	0.314222i	−0.846543	+	0.532321i	$0.821320\pi$
$824$	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	−0.871339	−	0.490682i	$-0.836748\pi$
$827$	2.63867	−	6.37031i	0.0917555	−	0.221517i	0.963094	+	0.269165i	$0.0867476\pi$
$828$	28.0014	+	0.401941i	0.973117	+	0.0139684i
$829$	−13.8454	+	5.73494i	−0.480870	+	0.199183i	−0.609932	−	0.792454i	$-0.708803\pi$
$829$	−13.8454	+	5.73494i	−0.480870	+	0.199183i	0.129062	+	0.991636i	$0.458803\pi$
$830$	−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	0.0938284	−	0.995588i	$-0.470089\pi$
$839$	−26.1199	−	26.1199i	−0.901760	−	0.901760i	−0.995588	+	0.0938284i	$0.970089\pi$
$840$	−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	0.353436	−	0.935459i	$-0.385013\pi$
$853$	−1.69735	−	0.703064i	−0.0581161	−	0.0240725i	−0.411552	+	0.911386i	$0.635013\pi$
$854$	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	−0.707301	−	0.706912i	$-0.750088\pi$
$857$	−0.0113831	+	0.0113831i	−0.000388840	+	0.000388840i	0.706912	+	0.707301i	$0.250088\pi$
$858$	−0.274191	−	0.115886i	−0.00936073	−	0.00395628i
$859$	24.9835	+	10.3485i	0.852428	+	0.353087i	0.765741	−	0.643149i	$-0.222372\pi$
$859$	24.9835	+	10.3485i	0.852428	+	0.353087i	0.0866863	+	0.996236i	$0.472372\pi$
$860$	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	−0.988558	−	0.150840i	$-0.951802\pi$
$877$	−11.7332	−	28.3264i	−0.396202	−	0.956515i	0.592357	−	0.805676i	$-0.298198\pi$
$878$	−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	0.0267846	−	0.999641i	$-0.491473\pi$
$883$	22.3631	−	9.26309i	0.752577	−	0.311728i	0.725793	+	0.687914i	$0.241473\pi$
$884$	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	−0.0394616	+	0.999221i	$0.512564\pi$
$887$	−30.9346	+	30.9346i	−1.03868	+	1.03868i	−0.999221	+	0.0394616i	$0.987436\pi$
$888$	−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	−0.985173	−	0.171565i	$-0.945118\pi$
$907$	−5.03654	+	12.1593i	−0.167235	+	0.403742i	0.817937	+	0.575307i	$0.195118\pi$
$908$	−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	$0.181473\pi$
$911$			32.5810i			1.07946i	−0.841840	+	0.539728i	$0.818527\pi$
$912$	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	0.554279	−	0.832331i	$-0.312994\pi$
$919$	−8.42914	−	8.42914i	−0.278052	−	0.278052i	−0.832331	+	0.554279i	$0.812994\pi$
$920$	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	$0.151981\pi$
$929$			28.0122i			0.919051i	−0.888165	+	0.459525i	$0.848019\pi$
$930$	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	−0.921487	−	0.388408i	$-0.873025\pi$
$937$	−16.3178	+	16.3178i	−0.533079	+	0.533079i	0.388408	+	0.921487i	$0.373025\pi$
$938$	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	−0.200374	−	0.979720i	$-0.564216\pi$
$941$	10.7582	−	4.45619i	0.350707	−	0.145268i	0.551081	+	0.834452i	$0.314216\pi$
$942$	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	0.999672	+	0.0256122i	$0.00815350\pi$
$947$	9.56768	+	23.0984i	0.310908	+	0.750598i	−0.688764	+	0.724985i	$0.741847\pi$
$948$	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	−0.764989	−	0.644044i	$-0.777255\pi$
$953$	−3.73365	+	3.73365i	−0.120945	+	0.120945i	0.644044	+	0.764989i	$0.277255\pi$
$954$	−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	−0.0510357	+	0.998697i	$0.516252\pi$
$967$	−32.6431	+	32.6431i	−1.04973	+	1.04973i	−0.998697	+	0.0510357i	$0.983748\pi$
$968$	−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	−0.648942	−	0.760838i	$-0.724788\pi$
$971$	−51.2848	−	21.2429i	−1.64581	−	0.681716i	−0.996865	+	0.0791224i	$0.974788\pi$
$972$	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	−0.363140	+	0.931735i	$0.618295\pi$
$983$	−40.5980	+	40.5980i	−1.29487	+	1.29487i	−0.931735	+	0.363140i	$0.881705\pi$
$984$	−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	$-0.833241\pi$
$991$		−	31.4960i		−	1.00050i	0.865880	−	0.500251i	$-0.166759\pi$
$992$	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	−0.996950	−	0.0780412i	$-0.975133\pi$
$997$	−7.47755	+	18.0524i	−0.236816	+	0.571726i	0.760134	+	0.649767i	$0.225133\pi$
$998$	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.11.7	✓	56
3.2	odd	2	inner	96.2.o.a.11.8	yes	56
4.3	odd	2		384.2.o.a.335.14		56
8.3	odd	2		768.2.o.a.671.1		56
8.5	even	2		768.2.o.b.671.14		56
12.11	even	2		384.2.o.a.335.5		56
24.5	odd	2		768.2.o.b.671.5		56
24.11	even	2		768.2.o.a.671.10		56
32.3	odd	8	inner	96.2.o.a.35.8	yes	56
32.13	even	8		768.2.o.a.95.10		56
32.19	odd	8		768.2.o.b.95.5		56
32.29	even	8		384.2.o.a.47.5		56
96.29	odd	8		384.2.o.a.47.14		56
96.35	even	8	inner	96.2.o.a.35.7	yes	56
96.77	odd	8		768.2.o.a.95.1		56
96.83	even	8		768.2.o.b.95.14		56

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
96.2.o.a.11.7	✓	56	1.1	even	1	trivial
96.2.o.a.11.8	yes	56	3.2	odd	2	inner
96.2.o.a.35.7	yes	56	96.35	even	8	inner
96.2.o.a.35.8	yes	56	32.3	odd	8	inner
384.2.o.a.47.5		56	32.29	even	8
384.2.o.a.47.14		56	96.29	odd	8
384.2.o.a.335.5		56	12.11	even	2
384.2.o.a.335.14		56	4.3	odd	2
768.2.o.a.95.1		56	96.77	odd	8
768.2.o.a.95.10		56	32.13	even	8
768.2.o.a.671.1		56	8.3	odd	2
768.2.o.a.671.10		56	24.11	even	2
768.2.o.b.95.5		56	32.19	odd	8
768.2.o.b.95.14		56	96.83	even	8
768.2.o.b.671.5		56	24.5	odd	2
768.2.o.b.671.14		56	8.5	even	2

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 96 = 2^{5} \cdot 3 \)
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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