LMFDB - Embedded newform 192.2.s.a.155.24

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [192,2,Mod(11,192)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(192, base_ring=CyclotomicField(16))

chi = DirichletCharacter(H, H._module([8, 5, 8]))

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

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

chi := DirichletCharacter("192.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 192 = 2^{6} \cdot 3 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	192.s (of order $16$, degree $8$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$1.53312771881$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$30$ over $\Q(\zeta_{16})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label			155.24
Character	$\chi$	$=$	192.155
Dual form			192.2.s.a.83.24

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.11054 + 0.875617i) q^{2} +(1.20118 - 1.24787i) q^{3} +(0.466590 + 1.94481i) q^{4} +(1.81918 + 0.361856i) q^{5} +(2.42661 - 0.334031i) q^{6} +(-2.53347 - 1.04940i) q^{7} +(-1.18475 + 2.56834i) q^{8} +(-0.114341 - 2.99782i) q^{9} +O(q^{10})$	\(q+(1.11054 + 0.875617i) q^{2} +(1.20118 - 1.24787i) q^{3} +(0.466590 + 1.94481i) q^{4} +(1.81918 + 0.361856i) q^{5} +(2.42661 - 0.334031i) q^{6} +(-2.53347 - 1.04940i) q^{7} +(-1.18475 + 2.56834i) q^{8} +(-0.114341 - 2.99782i) q^{9} +(1.70342 + 1.99476i) q^{10} +(-4.03981 + 2.69931i) q^{11} +(2.98732 + 1.75382i) q^{12} +(-1.10865 - 5.57354i) q^{13} +(-1.89465 - 3.38375i) q^{14} +(2.63670 - 1.83543i) q^{15} +(-3.56459 + 1.81486i) q^{16} +(3.00866 + 3.00866i) q^{17} +(2.49796 - 3.42931i) q^{18} +(1.06596 + 5.35893i) q^{19} +(0.145065 + 3.70679i) q^{20} +(-4.35266 + 1.90092i) q^{21} +(-6.84993 - 0.539635i) q^{22} +(4.06382 - 1.68329i) q^{23} +(1.78186 + 4.56344i) q^{24} +(-1.44094 - 0.596856i) q^{25} +(3.64909 - 7.16038i) q^{26} +(-3.87822 - 3.45823i) q^{27} +(0.858792 - 5.41677i) q^{28} +(2.31305 - 3.46173i) q^{29} +(4.53530 + 0.270423i) q^{30} -6.64751 q^{31} +(-5.54773 - 1.10575i) q^{32} +(-1.48415 + 8.28350i) q^{33} +(0.706797 + 5.97566i) q^{34} +(-4.22910 - 2.82579i) q^{35} +(5.77685 - 1.62112i) q^{36} +(1.21661 + 0.241999i) q^{37} +(-3.50859 + 6.88467i) q^{38} +(-8.28672 - 5.31138i) q^{39} +(-3.08463 + 4.24356i) q^{40} +(2.36116 + 5.70035i) q^{41} +(-6.49828 - 1.70022i) q^{42} +(5.44971 - 3.64138i) q^{43} +(-7.13459 - 6.59720i) q^{44} +(0.876774 - 5.49494i) q^{45} +(5.98694 + 1.68899i) q^{46} +(-1.67870 + 1.67870i) q^{47} +(-2.01701 + 6.62810i) q^{48} +(0.367501 + 0.367501i) q^{49} +(-1.07760 - 1.92454i) q^{50} +(7.36833 - 0.140469i) q^{51} +(10.3222 - 4.75667i) q^{52} +(1.54938 + 2.31881i) q^{53} +(-1.27883 - 7.23634i) q^{54} +(-8.32589 + 3.44870i) q^{55} +(5.69674 - 5.26355i) q^{56} +(7.96764 + 5.10686i) q^{57} +(5.59988 - 1.81903i) q^{58} +(1.24445 - 6.25625i) q^{59} +(4.79983 + 4.27150i) q^{60} +(1.32732 - 1.98647i) q^{61} +(-7.38231 - 5.82067i) q^{62} +(-2.85623 + 7.71489i) q^{63} +(-5.19276 - 6.08566i) q^{64} -10.5404i q^{65} +(-8.90138 + 7.89960i) q^{66} +(-2.24725 - 1.50157i) q^{67} +(-4.44746 + 7.25508i) q^{68} +(2.78085 - 7.09304i) q^{69} +(-2.22226 - 6.84123i) q^{70} +(-1.46064 + 3.52630i) q^{71} +(7.83489 + 3.25798i) q^{72} +(4.57706 + 11.0500i) q^{73} +(1.13920 + 1.33404i) q^{74} +(-2.47562 + 1.08117i) q^{75} +(-9.92475 + 4.57351i) q^{76} +(13.0674 - 2.59927i) q^{77} +(-4.55199 - 13.1545i) q^{78} +(3.67572 - 3.67572i) q^{79} +(-7.14133 + 2.01168i) q^{80} +(-8.97385 + 0.685550i) q^{81} +(-2.36916 + 8.39793i) q^{82} +(15.2655 - 3.03649i) q^{83} +(-5.72784 - 7.57816i) q^{84} +(4.38457 + 6.56198i) q^{85} +(9.24057 + 0.727968i) q^{86} +(-1.54138 - 7.04453i) q^{87} +(-2.14662 - 13.5736i) q^{88} +(-1.41615 + 3.41889i) q^{89} +(5.78515 - 5.33462i) q^{90} +(-3.04014 + 15.2838i) q^{91} +(5.16982 + 7.11796i) q^{92} +(-7.98484 + 8.29520i) q^{93} +(-3.33415 + 0.394361i) q^{94} +10.1346i q^{95} +(-8.04364 + 5.59463i) q^{96} +2.24657i q^{97} +(0.0863337 + 0.729914i) q^{98} +(8.55398 + 11.8020i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9}+O(q^{10}) $ 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9	$ 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9} - 16 q^{10} - 8 q^{12} - 16 q^{13} - 8 q^{15} - 16 q^{16} - 8 q^{18} - 16 q^{19} - 8 q^{21} - 16 q^{22} - 48 q^{24} - 16 q^{25} - 8 q^{27} - 16 q^{28} - 88 q^{30} - 32 q^{31} - 16 q^{34} - 88 q^{36} - 16 q^{37} - 8 q^{39} - 16 q^{40} - 48 q^{42} - 16 q^{43} - 8 q^{45} - 16 q^{46} - 8 q^{48} - 16 q^{49} - 8 q^{51} + 32 q^{52} - 8 q^{54} - 80 q^{55} - 8 q^{57} + 128 q^{58} - 8 q^{60} - 16 q^{61} + 80 q^{64} - 24 q^{66} - 144 q^{67} - 8 q^{69} + 80 q^{70} - 8 q^{72} - 16 q^{73} - 8 q^{75} + 96 q^{76} + 16 q^{78} - 48 q^{79} - 8 q^{81} + 64 q^{82} + 104 q^{84} - 16 q^{85} - 8 q^{87} + 64 q^{88} + 136 q^{90} - 16 q^{91} - 32 q^{93} + 80 q^{94} + 128 q^{96} - 8 q^{99}+O(q^{100}) $ 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9 - 16 * q^10 - 8 * q^12 - 16 * q^13 - 8 * q^15 - 16 * q^16 - 8 * q^18 - 16 * q^19 - 8 * q^21 - 16 * q^22 - 48 * q^24 - 16 * q^25 - 8 * q^27 - 16 * q^28 - 88 * q^30 - 32 * q^31 - 16 * q^34 - 88 * q^36 - 16 * q^37 - 8 * q^39 - 16 * q^40 - 48 * q^42 - 16 * q^43 - 8 * q^45 - 16 * q^46 - 8 * q^48 - 16 * q^49 - 8 * q^51 + 32 * q^52 - 8 * q^54 - 80 * q^55 - 8 * q^57 + 128 * q^58 - 8 * q^60 - 16 * q^61 + 80 * q^64 - 24 * q^66 - 144 * q^67 - 8 * q^69 + 80 * q^70 - 8 * q^72 - 16 * q^73 - 8 * q^75 + 96 * q^76 + 16 * q^78 - 48 * q^79 - 8 * q^81 + 64 * q^82 + 104 * q^84 - 16 * q^85 - 8 * q^87 + 64 * q^88 + 136 * q^90 - 16 * q^91 - 32 * q^93 + 80 * q^94 + 128 * q^96 - 8 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/192\mathbb{Z}\right)^\times$.

$n$	$65$	$127$	$133$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{9}{16}\right)$

Coefficient data

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

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

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

$2$	1.11054	+	0.875617i	0.785269	+	0.619155i
$2$	1.11054	+	0.875617i	0.785269	+	0.619155i
$3$	1.20118	−	1.24787i	0.693501	−	0.720456i
$3$	1.20118	−	1.24787i	0.693501	−	0.720456i
$4$	0.466590	+	1.94481i	0.233295	+	0.972406i
$5$	1.81918	+	0.361856i	0.813560	+	0.161827i	0.584300	−	0.811538i	$-0.301369\pi$
$5$	1.81918	+	0.361856i	0.813560	+	0.161827i	0.229260	+	0.973365i	$0.426369\pi$
$6$	2.42661	−	0.334031i	0.990658	−	0.136368i
$7$	−2.53347	−	1.04940i	−0.957563	−	0.396636i	−0.151495	−	0.988458i	$-0.548409\pi$
$7$	−2.53347	−	1.04940i	−0.957563	−	0.396636i	−0.806068	+	0.591823i	$0.798409\pi$
$8$	−1.18475	+	2.56834i	−0.418871	+	0.908046i
$9$	−0.114341	−	2.99782i	−0.0381138	−	0.999273i
$10$	1.70342	+	1.99476i	0.538667	+	0.630797i
$11$	−4.03981	+	2.69931i	−1.21805	+	0.813874i	−0.987258	−	0.159129i	$-0.949131\pi$
$11$	−4.03981	+	2.69931i	−1.21805	+	0.813874i	−0.230791	+	0.973003i	$0.574131\pi$
$12$	2.98732	+	1.75382i	0.862366	+	0.506286i
$13$	−1.10865	−	5.57354i	−0.307483	−	1.54582i	−0.757520	−	0.652812i	$-0.773589\pi$
$13$	−1.10865	−	5.57354i	−0.307483	−	1.54582i	0.450036	−	0.893010i	$-0.351411\pi$
$14$	−1.89465	−	3.38375i	−0.506366	−	0.904345i
$15$	2.63670	−	1.83543i	0.680794	−	0.473907i
$16$	−3.56459	+	1.81486i	−0.891147	+	0.453715i
$17$	3.00866	+	3.00866i	0.729706	+	0.729706i	0.970561	−	0.240855i	$-0.0774278\pi$
$17$	3.00866	+	3.00866i	0.729706	+	0.729706i	−0.240855	+	0.970561i	$0.577428\pi$
$18$	2.49796	−	3.42931i	0.588775	−	0.808297i
$19$	1.06596	+	5.35893i	0.244548	+	1.22942i	0.886518	+	0.462694i	$0.153117\pi$
$19$	1.06596	+	5.35893i	0.244548	+	1.22942i	−0.641970	+	0.766729i	$0.721883\pi$
$20$	0.145065	+	3.70679i	0.0324376	+	0.828864i
$21$	−4.35266	+	1.90092i	−0.949829	+	0.414815i
$22$	−6.84993	−	0.539635i	−1.46041	−	0.115051i
$23$	4.06382	−	1.68329i	0.847365	−	0.350990i	0.0836118	−	0.996498i	$-0.473354\pi$
$23$	4.06382	−	1.68329i	0.847365	−	0.350990i	0.763753	+	0.645508i	$0.223354\pi$
$24$	1.78186	+	4.56344i	0.363720	+	0.931508i
$25$	−1.44094	−	0.596856i	−0.288188	−	0.119371i
$26$	3.64909	−	7.16038i	0.715646	−	1.40427i
$27$	−3.87822	−	3.45823i	−0.746365	−	0.665537i
$28$	0.858792	−	5.41677i	0.162296	−	1.02367i
$29$	2.31305	−	3.46173i	0.429523	−	0.642826i	−0.552073	−	0.833796i	$-0.686163\pi$
$29$	2.31305	−	3.46173i	0.429523	−	0.642826i	0.981596	+	0.190969i	$0.0611631\pi$
$30$	4.53530	+	0.270423i	0.828028	+	0.0493722i
$31$	−6.64751			−1.19393			−0.596964	−	0.802268i	$-0.703626\pi$
$31$	−6.64751			−1.19393			−0.596964	+	0.802268i	$0.703626\pi$
$32$	−5.54773	−	1.10575i	−0.980710	−	0.195470i
$33$	−1.48415	+	8.28350i	−0.258357	+	1.44197i
$34$	0.706797	+	5.97566i	0.121215	+	1.02482i
$35$	−4.22910	−	2.82579i	−0.714848	−	0.477646i
$36$	5.77685	−	1.62112i	0.962808	−	0.270187i
$37$	1.21661	+	0.241999i	0.200010	+	0.0397844i	0.294078	−	0.955781i	$-0.404987\pi$
$37$	1.21661	+	0.241999i	0.200010	+	0.0397844i	−0.0940687	+	0.995566i	$0.529987\pi$
$38$	−3.50859	+	6.88467i	−0.569168	+	1.11684i
$39$	−8.28672	−	5.31138i	−1.32694	−	0.850501i
$40$	−3.08463	+	4.24356i	−0.487723	+	0.670965i
$41$	2.36116	+	5.70035i	0.368751	+	0.890245i	0.993956	+	0.109783i	$0.0350157\pi$
$41$	2.36116	+	5.70035i	0.368751	+	0.890245i	−0.625204	+	0.780461i	$0.714984\pi$
$42$	−6.49828	−	1.70022i	−1.00271	−	0.262350i
$43$	5.44971	−	3.64138i	0.831073	−	0.555306i	−0.0656776	−	0.997841i	$-0.520921\pi$
$43$	5.44971	−	3.64138i	0.831073	−	0.555306i	0.896751	+	0.442535i	$0.145921\pi$
$44$	−7.13459	−	6.59720i	−1.07558	−	0.994565i
$45$	0.876774	−	5.49494i	0.130702	−	0.819137i
$46$	5.98694	+	1.68899i	0.882727	+	0.249028i
$47$	−1.67870	+	1.67870i	−0.244863	+	0.244863i	−0.818858	−	0.573996i	$-0.805393\pi$
$47$	−1.67870	+	1.67870i	−0.244863	+	0.244863i	0.573996	+	0.818858i	$0.305393\pi$
$48$	−2.01701	+	6.62810i	−0.291130	+	0.956684i
$49$	0.367501	+	0.367501i	0.0525002	+	0.0525002i
$50$	−1.07760	−	1.92454i	−0.152396	−	0.272171i
$51$	7.36833	−	0.140469i	1.03177	−	0.0196696i
$52$	10.3222	−	4.75667i	1.43143	−	0.659631i
$53$	1.54938	+	2.31881i	0.212824	+	0.318513i	0.922487	−	0.386027i	$-0.126153\pi$
$53$	1.54938	+	2.31881i	0.212824	+	0.318513i	−0.709663	+	0.704541i	$0.751153\pi$
$54$	−1.27883	−	7.23634i	−0.174026	−	0.984741i
$55$	−8.32589	+	3.44870i	−1.12266	+	0.465022i
$56$	5.69674	−	5.26355i	0.761258	−	0.703372i
$57$	7.96764	+	5.10686i	1.05534	+	0.676420i
$58$	5.59988	−	1.81903i	0.735300	−	0.238851i
$59$	1.24445	−	6.25625i	0.162013	−	0.814494i	−0.811232	−	0.584724i	$-0.801203\pi$
$59$	1.24445	−	6.25625i	0.162013	−	0.814494i	0.973245	−	0.229770i	$-0.0737973\pi$
$60$	4.79983	+	4.27150i	0.619656	+	0.551448i
$61$	1.32732	−	1.98647i	0.169946	−	0.254342i	−0.736714	−	0.676205i	$-0.763624\pi$
$61$	1.32732	−	1.98647i	0.169946	−	0.254342i	0.906660	+	0.421863i	$0.138624\pi$
$62$	−7.38231	−	5.82067i	−0.937555	−	0.739226i
$63$	−2.85623	+	7.71489i	−0.359851	+	0.971984i
$64$	−5.19276	−	6.08566i	−0.649095	−	0.760708i
$65$		−	10.5404i		−	1.30738i
$66$	−8.90138	+	7.89960i	−1.09568	+	0.972373i
$67$	−2.24725	−	1.50157i	−0.274546	−	0.183446i	0.410673	−	0.911782i	$-0.365294\pi$
$67$	−2.24725	−	1.50157i	−0.274546	−	0.183446i	−0.685219	+	0.728337i	$0.740294\pi$
$68$	−4.44746	+	7.25508i	−0.539334	+	0.879808i
$69$	2.78085	−	7.09304i	0.334775	−	0.853901i
$70$	−2.22226	−	6.84123i	−0.265611	−	0.817683i
$71$	−1.46064	+	3.52630i	−0.173346	+	0.418495i	−0.986545	−	0.163492i	$-0.947724\pi$
$71$	−1.46064	+	3.52630i	−0.173346	+	0.418495i	0.813198	+	0.581986i	$0.197724\pi$
$72$	7.83489	+	3.25798i	0.923351	+	0.383957i
$73$	4.57706	+	11.0500i	0.535704	+	1.29330i	0.927696	+	0.373336i	$0.121786\pi$
$73$	4.57706	+	11.0500i	0.535704	+	1.29330i	−0.391992	+	0.919969i	$0.628214\pi$
$74$	1.13920	+	1.33404i	0.132429	+	0.155078i
$75$	−2.47562	+	1.08117i	−0.285860	+	0.124843i
$76$	−9.92475	+	4.57351i	−1.13845	+	0.524618i
$77$	13.0674	−	2.59927i	1.48917	−	0.296214i
$78$	−4.55199	−	13.1545i	−0.515411	−	1.48945i
$79$	3.67572	−	3.67572i	0.413550	−	0.413550i	−0.469423	−	0.882973i	$-0.655538\pi$
$79$	3.67572	−	3.67572i	0.413550	−	0.413550i	0.882973	+	0.469423i	$0.155538\pi$
$80$	−7.14133	+	2.01168i	−0.798425	+	0.224912i
$81$	−8.97385	+	0.685550i	−0.997095	+	0.0761722i
$82$	−2.36916	+	8.39793i	−0.261630	+	0.927396i
$83$	15.2655	−	3.03649i	1.67560	−	0.333298i	0.736369	−	0.676580i	$-0.236539\pi$
$83$	15.2655	−	3.03649i	1.67560	−	0.333298i	0.939232	+	0.343282i	$0.111539\pi$
$84$	−5.72784	−	7.57816i	−0.624959	−	0.826845i
$85$	4.38457	+	6.56198i	0.475574	+	0.711746i
$86$	9.24057	+	0.727968i	0.996436	+	0.0784989i
$87$	−1.54138	−	7.04453i	−0.165254	−	0.755253i
$88$	−2.14662	−	13.5736i	−0.228830	−	1.44695i
$89$	−1.41615	+	3.41889i	−0.150111	+	0.362401i	−0.980992	−	0.194050i	$-0.937837\pi$
$89$	−1.41615	+	3.41889i	−0.150111	+	0.362401i	0.830880	+	0.556451i	$0.187837\pi$
$90$	5.78515	−	5.33462i	0.609808	−	0.562318i
$91$	−3.04014	+	15.2838i	−0.318694	+	1.60218i
$92$	5.16982	+	7.11796i	0.538991	+	0.742099i
$93$	−7.98484	+	8.29520i	−0.827990	+	0.860173i
$94$	−3.33415	+	0.394361i	−0.343891	+	0.0406752i
$95$			10.1346i			1.03978i
$96$	−8.04364	+	5.59463i	−0.820950	+	0.571000i
$97$			2.24657i			0.228105i	0.993475	+	0.114052i	$0.0363832\pi$
$97$			2.24657i			0.228105i	−0.993475	+	0.114052i	$0.963617\pi$
$98$	0.0863337	+	0.729914i	0.00872102	+	0.0737325i
$99$	8.55398	+	11.8020i	0.859707	+	1.18614i
$100$	0.488446	−	3.08084i	0.0488446	−	0.308084i
$101$	−1.45597	+	7.31964i	−0.144874	+	0.728332i	0.838235	+	0.545310i	$0.183588\pi$
$101$	−1.45597	+	7.31964i	−0.144874	+	0.728332i	−0.983109	+	0.183022i	$0.941412\pi$
$102$	8.30581	+	6.29584i	0.822398	+	0.623381i
$103$	−1.41233	+	3.40965i	−0.139161	+	0.335963i	−0.978060	−	0.208323i	$-0.933199\pi$
$103$	−1.41233	+	3.40965i	−0.139161	+	0.335963i	0.838900	+	0.544286i	$0.183199\pi$
$104$	15.6282	+	3.75584i	1.53247	+	0.368291i
$105$	−8.60612	+	1.88307i	−0.839871	+	0.183769i
$106$	−0.309745	+	3.93179i	−0.0300851	+	0.381890i
$107$	0.680435	+	1.01834i	0.0657802	+	0.0984470i	0.862901	−	0.505372i	$-0.168645\pi$
$107$	0.680435	+	1.01834i	0.0657802	+	0.0984470i	−0.797121	+	0.603819i	$0.793645\pi$
$108$	4.91608	−	9.15599i	0.473050	−	0.881036i
$109$	13.1194	−	2.60960i	1.25661	−	0.249955i	0.478500	−	0.878087i	$-0.341181\pi$
$109$	13.1194	−	2.60960i	1.25661	−	0.249955i	0.778106	+	0.628133i	$0.216181\pi$
$110$	−12.2660	−	3.46038i	−1.16951	−	0.329934i
$111$	1.76335	−	1.22748i	0.167370	−	0.116508i
$112$	10.9353	−	0.857219i	1.03329	−	0.0809996i
$113$	−10.1696	+	10.1696i	−0.956680	+	0.956680i	−0.999100	−	0.0424199i	$-0.986493\pi$
$113$	−10.1696	+	10.1696i	−0.956680	+	0.956680i	0.0424199	+	0.999100i	$0.486493\pi$
$114$	4.37671	+	12.6480i	0.409917	+	1.18459i
$115$	8.00191	−	1.59168i	0.746182	−	0.148425i
$116$	7.81165	+	2.88324i	0.725294	+	0.267703i
$117$	−16.5817	+	3.96081i	−1.53298	+	0.366177i
$118$	6.86008	−	5.85814i	0.631522	−	0.539286i
$119$	−4.46507	−	10.7796i	−0.409312	−	0.988167i
$120$	1.59020	+	8.94647i	0.145165	+	0.816698i
$121$	4.82425	−	11.6468i	0.438568	−	1.05880i
$122$	3.21343	−	1.04383i	0.290930	−	0.0945041i
$123$	9.94945	+	3.90072i	0.897112	+	0.351716i
$124$	−3.10166	−	12.9282i	−0.278537	−	1.16098i
$125$	−10.1165	−	6.75960i	−0.904843	−	0.604597i
$126$	−9.92724	+	6.06671i	−0.884389	+	0.540466i
$127$		−	9.63581i		−	0.855040i	−0.904006	−	0.427520i	$-0.859387\pi$
$127$		−	9.63581i		−	0.855040i	0.904006	−	0.427520i	$-0.140613\pi$
$128$	−0.438047	−	11.3052i	−0.0387183	−	0.999250i
$129$	2.00212	−	11.1745i	0.176277	−	0.983857i
$130$	9.22937	−	11.7055i	0.809470	−	1.02664i
$131$	2.06321	−	3.08781i	0.180263	−	0.269783i	−0.730323	−	0.683102i	$-0.760631\pi$
$131$	2.06321	−	3.08781i	0.180263	−	0.269783i	0.910586	+	0.413319i	$0.135631\pi$
$132$	−16.8023	+	0.978607i	−1.46246	+	0.0851768i
$133$	2.92308	−	14.6953i	0.253463	−	1.27425i
$134$	−1.18086	−	3.63528i	−0.102011	−	0.314041i
$135$	−5.80379	−	7.69449i	−0.499510	−	0.662237i
$136$	−11.2917	+	4.16277i	−0.968259	+	0.356954i
$137$	2.52353	−	1.04528i	0.215599	−	0.0893042i	−0.272270	−	0.962221i	$-0.587774\pi$
$137$	2.52353	−	1.04528i	0.215599	−	0.0893042i	0.487869	+	0.872917i	$0.337774\pi$
$138$	9.29903	−	5.44212i	0.791586	−	0.463264i
$139$	0.173688	+	0.259942i	0.0147320	+	0.0220480i	0.838763	−	0.544497i	$-0.183280\pi$
$139$	0.173688	+	0.259942i	0.0147320	+	0.0220480i	−0.824031	+	0.566545i	$0.808280\pi$
$140$	3.52239	−	9.54329i	0.297696	−	0.806555i
$141$	0.0783752	+	4.11120i	0.00660038	+	0.346225i
$142$	−4.70979	+	2.63713i	−0.395237	+	0.221303i
$143$	19.5235	+	19.5235i	1.63263	+	1.63263i
$144$	5.84820	+	10.4785i	0.487350	+	0.873207i
$145$	5.46049	−	5.46049i	0.453469	−	0.453469i
$146$	−4.59257	+	16.2792i	−0.380084	+	1.34728i
$147$	0.900027	−	0.0171580i	0.0742329	−	0.00141516i
$148$	0.0970156	+	2.47900i	0.00797463	+	0.203772i
$149$	−7.39252	+	4.93952i	−0.605619	+	0.404661i	−0.820226	−	0.572039i	$-0.806153\pi$
$149$	−7.39252	+	4.93952i	−0.605619	+	0.404661i	0.214608	+	0.976700i	$0.431153\pi$
$150$	−3.69596	−	0.967018i	−0.301774	−	0.0789567i
$151$	8.06410	+	19.4685i	0.656248	+	1.58432i	0.803555	+	0.595231i	$0.202939\pi$
$151$	8.06410	+	19.4685i	0.656248	+	1.58432i	−0.147307	+	0.989091i	$0.547061\pi$
$152$	−15.0265	−	3.61123i	−1.21881	−	0.292909i
$153$	8.67540	−	9.36343i	0.701364	−	0.756988i
$154$	16.7878	+	8.55546i	1.35280	+	0.689418i
$155$	−12.0930	−	2.40544i	−0.971332	−	0.193210i
$156$	6.46313	−	18.5943i	0.517465	−	1.48874i
$157$	−17.3245	−	11.5758i	−1.38264	−	0.923852i	−0.382643	−	0.923896i	$-0.624986\pi$
$157$	−17.3245	−	11.5758i	−1.38264	−	0.923852i	−1.00000		4.40734e-5i	$0.999986\pi$
$158$	7.30054	−	0.863503i	0.580800	−	0.0686966i
$159$	4.75465	+	0.851887i	0.377068	+	0.0675590i
$160$	−9.69218	−	4.01903i	−0.766234	−	0.317732i
$161$	−12.0620			−0.950621
$162$	−10.5661	−	7.09633i	−0.830150	−	0.557540i
$163$	2.97418	−	4.45118i	0.232956	−	0.348643i	−0.696513	−	0.717545i	$-0.745266\pi$
$163$	2.97418	−	4.45118i	0.232956	−	0.348643i	0.929469	+	0.368901i	$0.120266\pi$
$164$	−9.98441	+	7.25174i	−0.779652	+	0.566266i
$165$	−5.69736	+	14.5321i	−0.443539	+	1.13132i
$166$	19.6117	+	9.99456i	1.52216	+	0.775728i
$167$	2.43121	+	1.00704i	0.188133	+	0.0779273i	0.474761	−	0.880115i	$-0.342534\pi$
$167$	2.43121	+	1.00704i	0.188133	+	0.0779273i	−0.286628	+	0.958042i	$0.592534\pi$
$168$	0.274581	−	13.4312i	0.0211844	−	1.03624i
$169$	−17.8248	+	7.38329i	−1.37114	+	0.567945i
$170$	−0.876544	+	11.1265i	−0.0672278	+	0.853366i
$171$	15.9432	−	3.80830i	1.21921	−	0.291228i
$172$	9.62458	+	8.89964i	0.733868	+	0.678591i
$173$	−2.61780	−	13.1606i	−0.199028	−	1.00058i	−0.943107	−	0.332490i	$-0.892111\pi$
$173$	−2.61780	−	13.1606i	−0.199028	−	1.00058i	0.744079	−	0.668092i	$-0.232889\pi$
$174$	4.45654	−	9.17288i	0.337850	−	0.695394i
$175$	3.02424	+	3.02424i	0.228611	+	0.228611i
$176$	9.50139	−	16.9536i	0.716194	−	1.27793i
$177$	−6.31216	−	9.06777i	−0.474451	−	0.681575i
$178$	−4.56632	+	2.55680i	−0.342260	+	0.191640i
$179$	−1.62138	−	8.15124i	−0.121188	−	0.609252i	−0.992872	−	0.119184i	$-0.961972\pi$
$179$	−1.62138	−	8.15124i	−0.121188	−	0.609252i	0.871684	−	0.490068i	$-0.163028\pi$
$180$	11.0957	−	0.858720i	0.827026	−	0.0640052i
$181$	12.0552	−	8.05503i	0.896056	−	0.598726i	−0.0199890	−	0.999800i	$-0.506363\pi$
$181$	12.0552	−	8.05503i	0.896056	−	0.598726i	0.916045	+	0.401074i	$0.131363\pi$
$182$	−16.7590	+	14.3113i	−1.24226	+	1.06082i
$183$	−0.884507	−	4.04243i	−0.0653846	−	0.298825i
$184$	−0.491329	+	12.4315i	−0.0362212	+	0.916466i
$185$	2.12566	+	0.880478i	0.156282	+	0.0647340i
$186$	−16.1309	+	2.22047i	−1.18277	+	0.162813i
$187$	−20.2757	−	4.03309i	−1.48271	−	0.294929i
$188$	−4.04801	−	2.48149i	−0.295231	−	0.180981i
$189$	6.19631	+	12.8311i	0.450715	+	0.933329i
$190$	−8.87400	+	11.2548i	−0.643787	+	0.816510i
$191$	2.26912			0.164188			0.0820939	−	0.996625i	$-0.473839\pi$
$191$	2.26912			0.164188			0.0820939	+	0.996625i	$0.473839\pi$
$192$	−13.8315	−	0.830095i	−0.998204	−	0.0599069i
$193$	3.57693			0.257473			0.128736	−	0.991679i	$-0.458908\pi$
$193$	3.57693			0.257473			0.128736	+	0.991679i	$0.458908\pi$
$194$	−1.96714	+	2.49491i	−0.141232	+	0.179124i
$195$	−13.1530	−	12.6609i	−0.941909	−	0.906668i
$196$	−0.543248	+	0.886193i	−0.0388035	+	0.0632995i
$197$	−9.80297	−	1.94993i	−0.698433	−	0.138927i	−0.166911	−	0.985972i	$-0.553379\pi$
$197$	−9.80297	−	1.94993i	−0.698433	−	0.138927i	−0.531521	+	0.847045i	$0.678379\pi$
$198$	−0.834497	+	20.5966i	−0.0593051	+	1.46373i
$199$	−9.34408	−	3.87044i	−0.662384	−	0.274369i	0.0260572	−	0.999660i	$-0.491705\pi$
$199$	−9.34408	−	3.87044i	−0.662384	−	0.274369i	−0.688441	+	0.725292i	$0.741705\pi$
$200$	3.24008	−	2.99370i	0.229108	−	0.211687i
$201$	−4.57311	+	1.00062i	−0.322562	+	0.0705785i
$202$	−8.02611	+	6.85387i	−0.564715	+	0.482237i
$203$	−9.49279	+	6.34288i	−0.666263	+	0.445183i
$204$	3.71117	+	14.2645i	0.259834	+	0.998714i
$205$	2.23266	+	11.2243i	0.155936	+	0.783942i
$206$	−4.55399	+	2.54990i	−0.317292	+	0.177660i
$207$	−5.51086	−	11.9901i	−0.383031	−	0.833372i
$208$	14.0671	+	17.8553i	0.975375	+	1.23805i
$209$	−18.7717	−	18.7717i	−1.29847	−	1.29847i
$210$	−11.2063	−	5.44444i	−0.773306	−	0.375702i
$211$	−3.81847	−	19.1967i	−0.262874	−	1.32156i	−0.856220	−	0.516611i	$-0.827193\pi$
$211$	−3.81847	−	19.1967i	−0.262874	−	1.32156i	0.593346	−	0.804947i	$-0.297807\pi$
$212$	−3.78673	+	4.09519i	−0.260074	+	0.281259i
$213$	2.64586	+	6.05840i	0.181291	+	0.415115i
$214$	−0.136029	+	1.72671i	−0.00929879	+	0.118035i
$215$	11.2316	−	4.65230i	0.765992	−	0.317284i
$216$	13.4766	−	5.86348i	0.916969	−	0.398959i
$217$	16.8413	+	6.97589i	1.14326	+	0.473554i
$218$	16.8546	+	8.58947i	1.14153	+	0.581752i
$219$	19.2868	+	7.56146i	1.30328	+	0.510956i
$220$	−10.5918	−	14.5832i	−0.714102	−	0.983197i
$221$	13.4333	−	20.1044i	0.903624	−	1.35237i
$222$	3.03307	+	0.180851i	0.203567	+	0.0121379i
$223$	−27.0466			−1.81118			−0.905588	−	0.424158i	$-0.860570\pi$
$223$	−27.0466			−1.81118			−0.905588	+	0.424158i	$0.860570\pi$
$224$	12.8947	+	8.62316i	0.861561	+	0.576159i
$225$	−1.62451	+	4.38792i	−0.108301	+	0.292528i
$226$	−20.1985	+	2.38906i	−1.34358	+	0.158918i
$227$	−9.15247	−	6.11549i	−0.607471	−	0.405899i	0.213439	−	0.976956i	$-0.431533\pi$
$227$	−9.15247	−	6.11549i	−0.607471	−	0.405899i	−0.820910	+	0.571057i	$0.806533\pi$
$228$	−6.21427	+	17.8784i	−0.411550	+	1.18402i
$229$	−0.362612	−	0.0721280i	−0.0239621	−	0.00476636i	0.183095	−	0.983095i	$-0.441388\pi$
$229$	−0.362612	−	0.0721280i	−0.0239621	−	0.00476636i	−0.207057	+	0.978329i	$0.566388\pi$
$230$	10.2801	+	5.23899i	0.677852	+	0.345449i
$231$	12.4527	−	19.4286i	0.819331	−	1.27831i
$232$	6.15052	+	10.0420i	0.403801	+	0.659288i
$233$	1.70099	+	4.10656i	0.111436	+	0.269029i	0.969752	−	0.244091i	$-0.0784895\pi$
$233$	1.70099	+	4.10656i	0.111436	+	0.269029i	−0.858317	+	0.513120i	$0.828489\pi$
$234$	−21.8828	−	10.1206i	−1.43052	−	0.661604i
$235$	−3.66129	+	2.44639i	−0.238836	+	0.159585i
$236$	12.7479	−	0.498888i	0.829816	−	0.0324749i
$237$	−0.171613	−	9.00200i	−0.0111474	−	0.584742i
$238$	4.48020	−	15.8809i	0.290408	−	1.02940i
$239$	−11.4281	+	11.4281i	−0.739219	+	0.739219i	−0.972427	−	0.233208i	$-0.925078\pi$
$239$	−11.4281	+	11.4281i	−0.739219	+	0.739219i	0.233208	+	0.972427i	$0.425078\pi$
$240$	−6.06771	+	11.3278i	−0.391669	+	0.731207i
$241$	−18.6070	−	18.6070i	−1.19858	−	1.19858i	−0.974591	−	0.223990i	$-0.928092\pi$
$241$	−18.6070	−	18.6070i	−1.19858	−	1.19858i	−0.223990	−	0.974591i	$-0.571908\pi$
$242$	15.5556	−	8.70998i	0.999953	−	0.559899i
$243$	−9.92372	+	12.0216i	−0.636607	+	0.771188i
$244$	4.48263	+	1.65452i	0.286971	+	0.105920i
$245$	0.535566	+	0.801532i	0.0342161	+	0.0512080i
$246$	7.63371	+	13.0438i	0.486707	+	0.831643i
$247$	28.6865	−	11.8823i	1.82528	−	0.756054i
$248$	7.87560	−	17.0731i	0.500101	−	1.08414i
$249$	14.5474	−	22.6966i	0.921904	−	1.43834i
$250$	−5.31589	−	16.3649i	−0.336206	−	1.03501i
$251$	−2.82543	+	14.2044i	−0.178339	+	0.896573i	0.783171	+	0.621806i	$0.213601\pi$
$251$	−2.82543	+	14.2044i	−0.178339	+	0.896573i	−0.961511	+	0.274767i	$0.911399\pi$
$252$	−16.3367	−	1.95514i	−1.02911	−	0.123162i
$253$	−11.8733	+	17.7697i	−0.746470	+	1.11717i
$254$	8.43728	−	10.7009i	0.529402	−	0.671437i
$255$	13.4551	+	2.41074i	0.842592	+	0.150967i
$256$	9.41258	−	12.9384i	0.588286	−	0.808653i
$257$			28.6727i			1.78855i	0.447513	+	0.894277i	$0.352310\pi$
$257$			28.6727i			1.78855i	−0.447513	+	0.894277i	$0.647690\pi$
$258$	12.0080	−	10.6566i	0.747584	−	0.663450i
$259$	−2.82830	−	1.88981i	−0.175742	−	0.117427i
$260$	20.4991	−	4.91805i	1.27130	−	0.305005i
$261$	−10.6421	−	6.53829i	−0.658730	−	0.404710i
$262$	4.99500	−	1.62255i	0.308592	−	0.100241i
$263$	0.197316	−	0.476364i	0.0121670	−	0.0293739i	−0.917679	−	0.397322i	$-0.869940\pi$
$263$	0.197316	−	0.476364i	0.0121670	−	0.0293739i	0.929846	+	0.367948i	$0.119940\pi$
$264$	−19.5165	−	13.6256i	−1.20116	−	0.838600i
$265$	1.97952	+	4.77898i	0.121601	+	0.293570i
$266$	16.1137	−	13.7602i	0.987993	−	0.843693i
$267$	2.56527	+	5.87386i	0.156992	+	0.359474i
$268$	1.87172	−	5.07110i	0.114334	−	0.309767i
$269$	−8.72945	+	1.73640i	−0.532244	+	0.105870i	−0.453893	−	0.891056i	$-0.649965\pi$
$269$	−8.72945	+	1.73640i	−0.532244	+	0.105870i	−0.0783504	+	0.996926i	$0.524965\pi$
$270$	0.292106	−	13.6269i	0.0177770	−	0.829308i
$271$	10.2842	−	10.2842i	0.624722	−	0.624722i	−0.322013	−	0.946735i	$-0.604360\pi$
$271$	10.2842	−	10.2842i	0.624722	−	0.624722i	0.946735	+	0.322013i	$0.104360\pi$
$272$	−16.1849	−	5.26434i	−0.981354	−	0.319197i
$273$	15.4204	+	22.1523i	0.933287	+	1.34072i
$274$	3.71774	+	1.04882i	0.224597	+	0.0633616i
$275$	7.43222	−	1.47836i	0.448180	−	0.0891485i
$276$	15.0921	+	2.09870i	0.908440	+	0.126327i
$277$	13.3194	+	19.9338i	0.800283	+	1.19771i	0.976956	+	0.213439i	$0.0684665\pi$
$277$	13.3194	+	19.9338i	0.800283	+	1.19771i	−0.176673	+	0.984270i	$0.556533\pi$
$278$	−0.0347228	+	0.440759i	−0.00208254	+	0.0264350i
$279$	0.760086	+	19.9280i	0.0455051	+	1.19306i
$280$	12.2680	−	7.51393i	0.733154	−	0.449043i
$281$	−4.06448	+	9.81253i	−0.242467	+	0.585367i	−0.997527	−	0.0702892i	$-0.977608\pi$
$281$	−4.06448	+	9.81253i	−0.242467	+	0.585367i	0.755060	+	0.655656i	$0.227608\pi$
$282$	−3.51280	+	4.63427i	−0.209184	+	0.275967i
$283$	−4.81249	+	24.1940i	−0.286073	+	1.43819i	0.523931	+	0.851761i	$0.324465\pi$
$283$	−4.81249	+	24.1940i	−0.286073	+	1.43819i	−0.810004	+	0.586425i	$0.800535\pi$
$284$	−7.53951	−	1.19534i	−0.447388	−	0.0709303i
$285$	12.6466	+	12.1734i	0.749119	+	0.721091i
$286$	4.58647	+	38.7766i	0.271204	+	2.29291i
$287$		−	16.9195i		−	0.998725i
$288$	−2.68049	+	16.7575i	−0.157949	+	0.987447i
$289$			1.10403i			0.0649428i
$290$	10.8454	−	1.28278i	0.636863	−	0.0753277i
$291$	2.80342	+	2.69854i	0.164340	+	0.158191i
$292$	−19.3546	+	14.0573i	−1.13264	+	0.822644i
$293$	3.29602	−	16.5702i	0.192556	−	0.968043i	−0.756754	−	0.653700i	$-0.773216\pi$
$293$	3.29602	−	16.5702i	0.192556	−	0.968043i	0.949309	−	0.314343i	$-0.101784\pi$
$294$	1.01454	+	0.769024i	0.0591690	+	0.0448504i
$295$	4.52773	−	10.9309i	0.263615	−	0.636422i
$296$	−2.06291	+	2.83797i	−0.119904	+	0.164953i
$297$	25.0021	+	3.50206i	1.45077	+	0.203210i
$298$	−12.5348	−	0.987487i	−0.726121	−	0.0572036i
$299$	−13.8872	−	20.7837i	−0.803119	−	1.20195i
$300$	−3.25777	−	4.31016i	−0.188087	−	0.248847i
$301$	−17.6280	+	3.50642i	−1.01606	+	0.202107i
$302$	−8.09143	+	28.6815i	−0.465609	+	1.65044i
$303$	7.38506	+	10.6091i	0.424261	+	0.609474i
$304$	−13.5254	−	17.1678i	−0.775735	−	0.984643i
$305$	3.13345	−	3.13345i	0.179421	−	0.179421i
$306$	17.8331	−	2.80211i	1.01945	−	0.160186i
$307$	17.7219	−	3.52511i	1.01144	−	0.201189i	0.338567	−	0.940942i	$-0.390058\pi$
$307$	17.7219	−	3.52511i	1.01144	−	0.201189i	0.672878	+	0.739754i	$0.265058\pi$
$308$	11.1522	+	24.2009i	0.635456	+	1.37897i
$309$	2.55834	+	5.85800i	0.145539	+	0.333250i
$310$	−11.3235	−	13.2602i	−0.643130	−	0.753127i
$311$	1.82988	+	4.41773i	0.103763	+	0.250506i	0.967231	−	0.253897i	$-0.0817124\pi$
$311$	1.82988	+	4.41773i	0.103763	+	0.250506i	−0.863468	+	0.504403i	$0.831712\pi$
$312$	23.4591	−	14.9905i	1.32811	−	0.848670i
$313$	1.18216	−	2.85398i	0.0668194	−	0.161316i	−0.886942	−	0.461880i	$-0.847175\pi$
$313$	1.18216	−	2.85398i	0.0668194	−	0.161316i	0.953762	+	0.300564i	$0.0971749\pi$
$314$	−9.10348	−	28.0250i	−0.513739	−	1.58154i
$315$	−7.98766	+	13.0012i	−0.450054	+	0.732534i
$316$	8.86363	+	5.43353i	0.498618	+	0.305660i
$317$	25.2510	+	16.8722i	1.41824	+	0.947636i	0.999213	+	0.0396610i	$0.0126278\pi$
$317$	25.2510	+	16.8722i	1.41824	+	0.947636i	0.419024	+	0.907975i	$0.362372\pi$
$318$	4.53429	+	5.10931i	0.254271	+	0.286516i
$319$			20.2284i			1.13257i
$320$	−7.24440	−	12.9499i	−0.404974	−	0.723922i
$321$	2.08808	+	0.374119i	0.116545	+	0.0208813i
$322$	−13.3953	−	10.5617i	−0.746493	−	0.588581i
$323$	−12.9161	+	19.3303i	−0.718670	+	1.07557i
$324$	−5.52037	−	17.1326i	−0.306687	−	0.951810i
$325$	−1.72911	+	8.69283i	−0.0959139	+	0.482192i
$326$	7.20047	−	2.33896i	0.398797	−	0.129543i
$327$	12.5022	−	19.5058i	0.691376	−	1.07867i
$328$	−17.4378	−	0.689190i	−0.962842	−	0.0380542i
$329$	6.01455	−	2.49131i	0.331593	−	0.137350i
$330$	−19.0517	+	11.1497i	−1.04876	+	0.613773i
$331$	−16.5464	−	24.7634i	−0.909472	−	1.36112i	−0.932417	−	0.361384i	$-0.882304\pi$
$331$	−16.5464	−	24.7634i	−0.909472	−	1.36112i	0.0229456	−	0.999737i	$-0.492696\pi$
$332$	13.0281	+	28.2717i	0.715010	+	1.55161i
$333$	0.586361	−	3.67485i	0.0321324	−	0.201381i
$334$	1.81817	+	3.24717i	0.0994860	+	0.177677i
$335$	−3.54480	−	3.54480i	−0.193673	−	0.193673i
$336$	12.0655	−	14.6755i	0.658230	−	0.800612i
$337$	11.1289	−	11.1289i	0.606231	−	0.606231i	−0.335728	−	0.941959i	$-0.608982\pi$
$337$	11.1289	−	11.1289i	0.606231	−	0.606231i	0.941959	+	0.335728i	$0.108982\pi$
$338$	−26.2601	−	7.40831i	−1.42836	−	0.402959i
$339$	0.474802	+	24.9059i	0.0257877	+	1.35270i
$340$	−10.7160	+	11.5889i	−0.581157	+	0.628497i
$341$	26.8547	−	17.9437i	1.45426	−	0.971707i
$342$	21.0402	+	9.73091i	1.13772	+	0.526187i
$343$	6.80039	+	16.4176i	0.367187	+	0.886467i
$344$	2.89579	+	18.3108i	0.156131	+	0.987254i
$345$	7.62552	−	11.8972i	0.410544	−	0.640524i
$346$	8.61647	−	16.9075i	0.463224	−	0.908955i
$347$	−0.907599	−	0.180533i	−0.0487225	−	0.00969150i	0.170669	−	0.985328i	$-0.445407\pi$
$347$	−0.907599	−	0.180533i	−0.0487225	−	0.00969150i	−0.219391	+	0.975637i	$0.570407\pi$
$348$	12.9811	−	6.28461i	0.695860	−	0.336890i
$349$	−24.7626	−	16.5458i	−1.32551	−	0.885678i	−0.327268	−	0.944932i	$-0.606128\pi$
$349$	−24.7626	−	16.5458i	−1.32551	−	0.885678i	−0.998243	+	0.0592533i	$0.981128\pi$
$350$	0.710457	+	6.00661i	0.0379755	+	0.321067i
$351$	−14.9750	+	25.4494i	−0.799308	+	1.35839i
$352$	25.3965	−	10.5081i	1.35364	−	0.560082i
$353$	16.3771			0.871666			0.435833	−	0.900028i	$-0.356454\pi$
$353$	16.3771			0.871666			0.435833	+	0.900028i	$0.356454\pi$
$354$	0.929999	−	15.5971i	0.0494289	−	0.828979i
$355$	−3.93318	+	5.88642i	−0.208751	+	0.312419i
$356$	−7.30985	−	1.15893i	−0.387421	−	0.0614230i
$357$	−18.8149	−	7.37645i	−0.995789	−	0.390403i
$358$	5.33676	−	10.4720i	0.282056	−	0.553461i
$359$	−15.3492	−	6.35785i	−0.810101	−	0.335555i	−0.0611065	−	0.998131i	$-0.519463\pi$
$359$	−15.3492	−	6.35785i	−0.810101	−	0.335555i	−0.748994	+	0.662577i	$0.769463\pi$
$360$	13.0741	+	8.76195i	0.689067	+	0.461795i
$361$	−10.0282	+	4.15381i	−0.527800	+	0.218622i
$362$	20.4409	+	1.61033i	1.07435	+	0.0846368i
$363$	−8.73882	−	20.0099i	−0.458669	−	1.05024i
$364$	−31.1427	+	1.21877i	−1.63232	+	0.0638809i
$365$	4.32796	+	21.7581i	0.226536	+	1.13887i
$366$	2.55734	−	5.26376i	0.133674	−	0.275141i
$367$	4.38028	+	4.38028i	0.228649	+	0.228649i	0.812128	−	0.583479i	$-0.198309\pi$
$367$	4.38028	+	4.38028i	0.228649	+	0.228649i	−0.583479	+	0.812128i	$0.698309\pi$
$368$	−11.4309	+	13.3755i	−0.595878	+	0.697246i
$369$	16.8186	−	7.73012i	0.875543	−	0.402414i
$370$	1.58967	+	2.83907i	0.0826428	+	0.147596i
$371$	−1.49196	−	7.50057i	−0.0774585	−	0.389410i
$372$	−19.8583	−	11.6586i	−1.02960	−	0.604468i
$373$	−21.1643	+	14.1416i	−1.09585	+	0.732222i	−0.965801	−	0.259286i	$-0.916513\pi$
$373$	−21.1643	+	14.1416i	−1.09585	+	0.732222i	−0.130047	+	0.991508i	$0.541513\pi$
$374$	−18.9855	−	22.2327i	−0.981717	−	1.14962i
$375$	−20.5867	+	4.50450i	−1.06309	+	0.232611i
$376$	−2.32264	−	6.30029i	−0.119781	−	0.324913i
$377$	−21.8584	−	9.05406i	−1.12577	−	0.466308i
$378$	−4.35393	+	19.6751i	−0.223942	+	1.01198i
$379$	1.24095	+	0.246841i	0.0637435	+	0.0126794i	0.226859	−	0.973928i	$-0.427154\pi$
$379$	1.24095	+	0.246841i	0.0637435	+	0.0126794i	−0.163116	+	0.986607i	$0.552154\pi$
$380$	−19.7098	+	4.72868i	−1.01109	+	0.242576i
$381$	−12.0242	−	11.5743i	−0.616019	−	0.592971i
$382$	2.51994	+	1.98688i	0.128932	+	0.101658i
$383$	−5.73072			−0.292826			−0.146413	−	0.989224i	$-0.546773\pi$
$383$	−5.73072			−0.292826			−0.146413	+	0.989224i	$0.546773\pi$
$384$	−14.6336	−	13.0330i	−0.746767	−	0.665086i
$385$	24.7125			1.25946
$386$	3.97231	+	3.13202i	0.202185	+	0.159416i
$387$	−11.5393	−	15.9209i	−0.586577	−	0.809305i
$388$	−4.36916	+	1.04823i	−0.221811	+	0.0532157i
$389$	−2.07643	−	0.413028i	−0.105279	−	0.0209414i	0.142169	−	0.989842i	$-0.454592\pi$
$389$	−2.07643	−	0.413028i	−0.105279	−	0.0209414i	−0.247449	+	0.968901i	$0.579592\pi$
$390$	−3.52083	−	25.5775i	−0.178284	−	1.29517i
$391$	17.2911	+	7.16220i	0.874447	+	0.362208i
$392$	−1.37926	+	0.508473i	−0.0696633	+	0.0256818i
$393$	−1.37489	−	6.28361i	−0.0693541	−	0.316966i
$394$	−9.17918	−	10.7491i	−0.462440	−	0.541533i
$395$	8.01686	−	5.35669i	0.403372	−	0.269524i
$396$	−18.9614	+	22.1426i	−0.952848	+	1.11271i
$397$	3.43087	+	17.2481i	0.172190	+	0.865659i	0.966208	+	0.257764i	$0.0829858\pi$
$397$	3.43087	+	17.2481i	0.172190	+	0.865659i	−0.794018	+	0.607895i	$0.792014\pi$
$398$	−6.98793	−	12.4801i	−0.350273	−	0.625572i
$399$	−14.8267	−	21.2993i	−0.742262	−	1.06630i
$400$	6.21956	−	0.487552i	0.310978	−	0.0243776i
$401$	−16.4590	−	16.4590i	−0.821921	−	0.821921i	0.164462	−	0.986383i	$-0.447411\pi$
$401$	−16.4590	−	16.4590i	−0.821921	−	0.821921i	−0.986383	+	0.164462i	$0.947411\pi$
$402$	−5.95477	−	2.89306i	−0.296997	−	0.144293i
$403$	7.36974	+	37.0502i	0.367113	+	1.84560i
$404$	−14.9147	+	0.583686i	−0.742033	+	0.0290395i
$405$	−16.5731	−	2.00011i	−0.823523	−	0.0993863i
$406$	−16.0960	−	1.26804i	−0.798833	−	0.0629317i
$407$	−5.56811	+	2.30639i	−0.276001	+	0.114323i
$408$	−8.36883	+	19.0908i	−0.414319	+	0.945136i
$409$	−21.7837	−	9.02309i	−1.07713	−	0.446163i	−0.227631	−	0.973748i	$-0.573098\pi$
$409$	−21.7837	−	9.02309i	−1.07713	−	0.446163i	−0.849503	+	0.527584i	$0.823098\pi$
$410$	−7.34877	+	14.4200i	−0.362930	+	0.712153i
$411$	1.72684	−	4.40459i	0.0851786	−	0.217262i
$412$	−7.29011	−	1.15580i	−0.359158	−	0.0569421i
$413$	−9.71807	+	14.5441i	−0.478195	+	0.715669i
$414$	4.37874	−	18.1409i	0.215203	−	0.891577i
$415$	28.8693			1.41714
$416$	−0.0124441	+	32.1464i	−0.000610122	+	1.57611i
$417$	0.533003	+	0.0954976i	0.0261012	+	0.00467654i
$418$	−4.40987	−	37.2835i	−0.215694	−	1.82360i
$419$	8.94776	+	5.97870i	0.437126	+	0.292079i	0.754596	−	0.656190i	$-0.227833\pi$
$419$	8.94776	+	5.97870i	0.437126	+	0.292079i	−0.317469	+	0.948269i	$0.602833\pi$
$420$	−7.67774	−	15.8587i	−0.374635	−	0.773823i
$421$	32.8464	+	6.53355i	1.60084	+	0.318426i	0.913163	−	0.407595i	$-0.133633\pi$
$421$	32.8464	+	6.53355i	1.60084	+	0.318426i	0.687673	+	0.726021i	$0.258633\pi$
$422$	12.5684	−	24.6622i	0.611822	−	1.20054i
$423$	5.22437	+	4.84048i	0.254018	+	0.235352i
$424$	−7.79112	+	1.23214i	−0.378370	+	0.0598379i
$425$	−2.53955	−	6.13102i	−0.123186	−	0.297398i
$426$	−2.36651	+	9.04485i	−0.114658	+	0.438224i
$427$	−5.44733	+	3.63979i	−0.263615	+	0.176142i
$428$	−1.66300	+	1.79847i	−0.0803842	+	0.0869322i
$429$	47.8138	−	0.911515i	2.30847	−	0.0440084i
$430$	16.5468	+	4.66806i	0.797957	+	0.225114i
$431$	28.3044	−	28.3044i	1.36337	−	1.36337i	0.493798	−	0.869576i	$-0.335608\pi$
$431$	28.3044	−	28.3044i	1.36337	−	1.36337i	0.869576	−	0.493798i	$-0.164392\pi$
$432$	20.1005	+	5.28875i	0.967085	+	0.254455i
$433$	−6.21090	−	6.21090i	−0.298477	−	0.298477i	0.541940	−	0.840417i	$-0.317690\pi$
$433$	−6.21090	−	6.21090i	−0.298477	−	0.298477i	−0.840417	+	0.541940i	$0.817690\pi$
$434$	12.5947	+	22.4935i	0.604564	+	1.07972i
$435$	−0.254941	−	13.3730i	−0.0122235	−	0.641186i
$436$	11.1965	+	24.2971i	0.536217	+	1.16362i
$437$	13.3525	+	19.9834i	0.638737	+	0.955937i
$438$	14.7978	+	25.2851i	0.707065	+	1.20817i
$439$	−15.2844	+	6.33102i	−0.729487	+	0.302163i	−0.716341	−	0.697750i	$-0.754185\pi$
$439$	−15.2844	+	6.33102i	−0.729487	+	0.302163i	−0.0131457	+	0.999914i	$0.504185\pi$
$440$	1.00663	−	25.4695i	0.0479890	−	1.21421i
$441$	1.05968	−	1.14372i	0.0504610	−	0.0544630i
$442$	32.5220	−	10.5643i	1.54691	−	0.502490i
$443$	7.04153	−	35.4002i	0.334553	−	1.68191i	−0.337434	−	0.941349i	$-0.609559\pi$
$443$	7.04153	−	35.4002i	0.334553	−	1.68191i	0.671987	−	0.740563i	$-0.265441\pi$
$444$	3.20999	+	2.85665i	0.152339	+	0.135571i
$445$	−3.81337	+	5.70711i	−0.180771	+	0.270543i
$446$	−30.0363	−	23.6825i	−1.42226	−	1.12140i
$447$	−2.71587	+	15.1581i	−0.128456	+	0.716954i
$448$	6.76943	+	20.8671i	0.319825	+	0.985879i
$449$			7.64201i			0.360649i	0.983607	+	0.180324i	$0.0577147\pi$
$449$			7.64201i			0.360649i	−0.983607	+	0.180324i	$0.942285\pi$
$450$	−5.64622	+	3.45050i	−0.266165	+	0.162658i
$451$	−24.9257	−	16.6548i	−1.17370	−	0.784244i
$452$	−24.5231	−	15.0330i	−1.15347	−	0.707093i
$453$	33.9805	+	13.3222i	1.59654	+	0.625931i
$454$	−4.80935	−	14.8055i	−0.225714	−	0.694859i
$455$	−11.0611	+	26.7039i	−0.518553	+	1.25190i
$456$	−22.5558	+	14.4133i	−1.05627	+	0.674964i
$457$	−6.44274	−	15.5541i	−0.301379	−	0.727592i	−0.999928	−	0.0120301i	$-0.996171\pi$
$457$	−6.44274	−	15.5541i	−0.301379	−	0.727592i	0.698549	−	0.715562i	$-0.253829\pi$
$458$	−0.339538	−	0.397610i	−0.0158656	−	0.0185791i
$459$	−1.26361	−	22.0729i	−0.0589801	−	1.03027i
$460$	6.82913	+	14.8196i	0.318410	+	0.690965i
$461$	−19.4906	+	3.87693i	−0.907769	+	0.180566i	−0.626827	−	0.779158i	$-0.715647\pi$
$461$	−19.4906	+	3.87693i	−0.907769	+	0.180566i	−0.280942	+	0.959725i	$0.590647\pi$
$462$	30.8412	−	10.6723i	1.43486	−	0.496522i
$463$	11.9477	−	11.9477i	0.555257	−	0.555257i	−0.372697	−	0.927953i	$-0.621567\pi$
$463$	11.9477	−	11.9477i	0.555257	−	0.555257i	0.927953	+	0.372697i	$0.121567\pi$
$464$	−1.96253	+	16.5375i	−0.0911084	+	0.767734i
$465$	−17.5275	+	12.2011i	−0.812819	+	0.565811i
$466$	−1.70675	+	6.04990i	−0.0790639	+	0.280256i
$467$	−33.4927	+	6.66210i	−1.54986	+	0.308285i	−0.894511	−	0.447045i	$-0.852476\pi$
$467$	−33.4927	+	6.66210i	−1.54986	+	0.308285i	−0.655344	+	0.755331i	$0.727476\pi$
$468$	−15.4399	−	30.4002i	−0.713709	−	1.40525i
$469$	4.11762	+	6.16245i	0.190134	+	0.284555i
$470$	−6.20810	−	0.489072i	−0.286359	−	0.0225592i
$471$	−35.2549	+	7.71397i	−1.62446	+	0.355441i
$472$	14.5938	+	10.6082i	0.671736	+	0.488283i
$473$	−12.1866	+	29.4210i	−0.560339	+	1.35278i
$474$	7.69172	−	10.1473i	0.353292	−	0.466082i
$475$	1.66253	−	8.35812i	0.0762822	−	0.383497i
$476$	18.8810	−	13.7134i	0.865409	−	0.628552i
$477$	6.77422	−	4.90990i	0.310170	−	0.224809i
$478$	−22.6979	+	2.68469i	−1.03818	+	0.122795i
$479$			5.21612i			0.238331i	0.992874	+	0.119165i	$0.0380219\pi$
$479$			5.21612i			0.238331i	−0.992874	+	0.119165i	$0.961978\pi$
$480$	−16.6572	+	7.26697i	−0.760296	+	0.331690i
$481$		−	7.04913i		−	0.321413i
$482$	−4.37117	−	36.9564i	−0.199101	−	1.68332i
$483$	−14.4886	+	15.0518i	−0.659256	+	0.684880i
$484$	24.9017	+	3.94800i	1.13190	+	0.179454i
$485$	−0.812937	+	4.08691i	−0.0369136	+	0.185577i
$486$	−21.5470	+	4.66111i	−0.977393	+	0.211432i
$487$	−1.65755	+	4.00167i	−0.0751105	+	0.181333i	−0.956975	−	0.290170i	$-0.906288\pi$
$487$	−1.65755	+	4.00167i	−0.0751105	+	0.181333i	0.881865	+	0.471503i	$0.156288\pi$
$488$	3.52941	+	5.76248i	0.159769	+	0.260855i
$489$	−1.98195	−	9.05804i	−0.0896270	−	0.409619i
$490$	−0.107068	+	1.35908i	−0.00483684	+	0.0613971i
$491$	19.2029	+	28.7392i	0.866617	+	1.29698i	0.953693	+	0.300782i	$0.0972476\pi$
$491$	19.2029	+	28.7392i	0.866617	+	1.29698i	−0.0870764	+	0.996202i	$0.527752\pi$
$492$	−2.94386	+	21.1698i	−0.132719	+	0.954410i
$493$	17.3743	−	3.45597i	0.782500	−	0.155649i
$494$	42.2618	+	11.9226i	1.90145	+	0.536423i
$495$	11.2906	+	24.5652i	0.507473	+	1.10412i
$496$	23.6956	−	12.0643i	1.06397	−	0.541702i
$497$	7.40099	−	7.40099i	0.331980	−	0.331980i
$498$	36.0290	−	12.4675i	1.61450	−	0.558682i
$499$	15.9928	−	3.18117i	0.715938	−	0.142409i	0.176337	−	0.984330i	$-0.443575\pi$
$499$	15.9928	−	3.18117i	0.715938	−	0.142409i	0.539601	+	0.841921i	$0.318575\pi$
$500$	8.42592	−	22.8286i	0.376819	−	1.02092i
$501$	4.17698	−	1.82419i	0.186614	−	0.0814990i
$502$	−15.5754	+	13.3005i	−0.695162	+	0.593631i
$503$	5.83040	+	14.0758i	0.259965	+	0.627611i	0.998936	−	0.0461269i	$-0.0146879\pi$
$503$	5.83040	+	14.0758i	0.259965	+	0.627611i	−0.738971	+	0.673737i	$0.764688\pi$
$504$	−16.4306	−	16.4759i	−0.731875	−	0.733897i
$505$	−5.29732	+	12.7889i	−0.235728	+	0.569097i
$506$	−28.7452	+	9.33743i	−1.27788	+	0.415100i
$507$	−12.1975	+	31.1117i	−0.541708	+	1.38172i
$508$	18.7398	−	4.49597i	0.831446	−	0.199476i
$509$	−9.74610	−	6.51214i	−0.431988	−	0.288645i	0.320503	−	0.947247i	$-0.396148\pi$
$509$	−9.74610	−	6.51214i	−0.431988	−	0.288645i	−0.752491	+	0.658602i	$0.771148\pi$
$510$	12.8315	+	14.4588i	0.568190	+	0.640244i
$511$		−	32.7980i		−	1.45090i
$512$	21.7822	−	6.12682i	0.962644	−	0.270770i
$513$	14.3984	−	24.4695i	0.635706	−	1.08035i
$514$	−25.1063	+	31.8421i	−1.10739	+	1.40450i
$515$	−3.80307	+	5.69170i	−0.167583	+	0.250806i
$516$	22.6664	−	1.32014i	0.997833	−	0.0581161i
$517$	2.25028	−	11.3129i	0.0989673	−	0.497542i
$518$	−1.48619	−	4.57521i	−0.0652992	−	0.201023i
$519$	−19.5671	−	12.5415i	−0.858901	−	0.550513i
$520$	27.0714	+	12.4877i	1.18716	+	0.547622i
$521$	34.5592	−	14.3149i	1.51407	−	0.627147i	0.537674	−	0.843153i	$-0.319303\pi$
$521$	34.5592	−	14.3149i	1.51407	−	0.627147i	0.976392	+	0.216006i	$0.0693031\pi$
$522$	−6.09343	−	16.5794i	−0.266702	−	0.725662i
$523$	−6.16883	−	9.23231i	−0.269744	−	0.403701i	0.671725	−	0.740801i	$-0.265554\pi$
$523$	−6.16883	−	9.23231i	−0.269744	−	0.403701i	−0.941469	+	0.337100i	$0.890554\pi$
$524$	6.96787	+	2.57181i	0.304393	+	0.112350i
$525$	7.40650	−	0.141196i	0.323246	−	0.00616231i
$526$	0.636240	−	0.356247i	0.0277414	−	0.0155331i
$527$	−20.0001	−	20.0001i	−0.871217	−	0.871217i
$528$	−9.74300	−	32.2208i	−0.424010	−	1.40223i
$529$	−2.58228	+	2.58228i	−0.112273	+	0.112273i
$530$	−1.98623	+	7.04054i	−0.0862761	+	0.305821i
$531$	−18.8974	−	3.01527i	−0.820077	−	0.130852i
$532$	29.9435	−	1.17184i	1.29822	−	0.0508058i
$533$	29.1534	−	19.4797i	1.26278	−	0.843760i
$534$	−2.29442	+	8.76933i	−0.0992894	+	0.379486i
$535$	0.869337	+	2.09876i	0.0375847	+	0.0907375i
$536$	6.51896	−	3.99274i	0.281576	−	0.172460i
$537$	−12.1192	−	7.76782i	−0.522983	−	0.335206i
$538$	−11.2148	−	5.71532i	−0.483504	−	0.246405i
$539$	−2.47664	−	0.492633i	−0.106676	−	0.0212192i
$540$	12.2564	−	14.8774i	0.527430	−	0.640223i
$541$	1.61666	+	1.08022i	0.0695056	+	0.0464421i	0.589838	−	0.807522i	$-0.299192\pi$
$541$	1.61666	+	1.08022i	0.0695056	+	0.0464421i	−0.520332	+	0.853964i	$0.674192\pi$
$542$	20.4261	−	2.41598i	0.877374	−	0.103775i
$543$	4.42885	−	24.7188i	0.190060	−	1.06079i
$544$	−13.3644	−	20.0180i	−0.572994	−	0.858266i
$545$	24.8107			1.06277
$546$	−2.27196	+	38.1034i	−0.0972309	+	1.63067i
$547$	19.7133	−	29.5031i	0.842881	−	1.26146i	−0.120336	−	0.992733i	$-0.538397\pi$
$547$	19.7133	−	29.5031i	0.842881	−	1.26146i	0.963216	−	0.268727i	$-0.0866028\pi$
$548$	3.21032	+	4.42007i	0.137138	+	0.188816i
$549$	−6.10686	−	3.75193i	−0.260634	−	0.160128i
$550$	9.54824	+	4.86600i	0.407138	+	0.207487i
$551$	21.0168	+	8.70543i	0.895345	+	0.370864i
$552$	14.9227	+	15.5456i	0.635154	+	0.661665i
$553$	−13.1696	+	5.45504i	−0.560029	+	0.231972i
$554$	−2.66275	+	33.8000i	−0.113129	+	1.43602i
$555$	3.65202	−	1.59493i	0.155019	−	0.0677010i
$556$	−0.424497	+	0.459076i	−0.0180027	+	0.0194692i
$557$	6.08125	+	30.5725i	0.257671	+	1.29540i	0.865331	+	0.501201i	$0.167108\pi$
$557$	6.08125	+	30.5725i	0.257671	+	1.29540i	−0.607660	+	0.794197i	$0.707892\pi$
$558$	−16.6052	+	22.7964i	−0.702955	+	0.965048i
$559$	−26.3372	−	26.3372i	−1.11394	−	1.11394i
$560$	20.2034	+	2.39758i	0.853750	+	0.101316i
$561$	−29.3875	+	20.4569i	−1.24074	+	0.863692i
$562$	−13.1058	+	7.33826i	−0.552834	+	0.309546i
$563$	0.146249	+	0.735244i	0.00616367	+	0.0309868i	0.983745	−	0.179573i	$-0.0574715\pi$
$563$	0.146249	+	0.735244i	0.00616367	+	0.0309868i	−0.977581	+	0.210559i	$0.932471\pi$
$564$	−7.95894	+	2.07067i	−0.335132	+	0.0871909i
$565$	−22.1803	+	14.8204i	−0.933133	+	0.623500i
$566$	−26.5292	+	22.6545i	−1.11510	+	0.952239i
$567$	23.4544	+	7.68033i	0.984993	+	0.322543i
$568$	−7.32626	−	7.92919i	−0.307403	−	0.332702i
$569$	−2.49656	−	1.03411i	−0.104661	−	0.0433522i	0.329738	−	0.944072i	$-0.393039\pi$
$569$	−2.49656	−	1.03411i	−0.104661	−	0.0433522i	−0.434400	+	0.900720i	$0.643039\pi$
$570$	3.38526	+	24.5926i	0.141793	+	1.03007i
$571$	29.1438	+	5.79706i	1.21963	+	0.242599i	0.762611	−	0.646857i	$-0.223917\pi$
$571$	29.1438	+	5.79706i	1.21963	+	0.242599i	0.457019	+	0.889457i	$0.348917\pi$
$572$	−28.8600	+	47.0789i	−1.20670	+	1.96847i
$573$	2.72562	−	2.83156i	0.113864	−	0.118290i
$574$	14.8150	−	18.7897i	0.618366	−	0.784268i
$575$	−6.86040			−0.286098
$576$	−17.6500	+	16.2628i	−0.735415	+	0.677617i
$577$	3.98329			0.165827			0.0829133	−	0.996557i	$-0.473578\pi$
$577$	3.98329			0.165827			0.0829133	+	0.996557i	$0.473578\pi$
$578$	−0.966705	+	1.22606i	−0.0402096	+	0.0509975i
$579$	4.29653	−	4.46353i	0.178558	−	0.185498i
$580$	13.1674	+	8.07183i	0.546748	+	0.335164i
$581$	−41.8611	−	8.32669i	−1.73669	−	0.345450i
$582$	0.750425	+	5.45155i	0.0311061	+	0.225974i
$583$	−12.5184	−	5.18529i	−0.518459	−	0.214753i
$584$	−33.8028	−	1.33598i	−1.39877	−	0.0552833i
$585$	−31.5983	+	1.20521i	−1.30643	+	0.0498292i
$586$	18.1695	−	15.5158i	0.750577	−	0.640952i
$587$	17.1170	−	11.4372i	0.706496	−	0.472065i	−0.149690	−	0.988733i	$-0.547828\pi$
$587$	17.1170	−	11.4372i	0.706496	−	0.472065i	0.856186	+	0.516667i	$0.172828\pi$
$588$	0.453312	+	1.74238i	0.0186943	+	0.0718544i
$589$	−7.08597	−	35.6236i	−0.291972	−	1.46784i
$590$	14.5995	−	8.17463i	0.601052	−	0.336544i
$591$	−14.2084	+	9.89058i	−0.584454	+	0.406844i
$592$	−4.77591	+	1.34535i	−0.196289	+	0.0552936i
$593$	33.8602	+	33.8602i	1.39047	+	1.39047i	0.824259	+	0.566213i	$0.191592\pi$
$593$	33.8602	+	33.8602i	1.39047	+	1.39047i	0.566213	+	0.824259i	$0.308408\pi$
$594$	24.6994	+	25.7815i	1.01343	+	1.05783i
$595$	−4.22207	−	21.2258i	−0.173088	−	0.870171i
$596$	−13.0557	−	12.0723i	−0.534783	−	0.494502i
$597$	−16.0537	+	7.01107i	−0.657034	+	0.286944i
$598$	2.77627	−	35.2410i	0.113530	−	1.44111i
$599$	8.52160	−	3.52976i	0.348183	−	0.144222i	−0.201736	−	0.979440i	$-0.564658\pi$
$599$	8.52160	−	3.52976i	0.348183	−	0.144222i	0.549920	+	0.835218i	$0.314658\pi$
$600$	0.156171	−	7.63915i	0.00637565	−	0.311867i
$601$	30.4580	+	12.6161i	1.24241	+	0.514621i	0.904466	−	0.426546i	$-0.140270\pi$
$601$	30.4580	+	12.6161i	1.24241	+	0.514621i	0.337940	+	0.941168i	$0.390270\pi$
$602$	−22.6468	−	11.5413i	−0.923015	−	0.470390i
$603$	−4.24447	+	6.90856i	−0.172848	+	0.281338i
$604$	−34.0999	+	24.7670i	−1.38750	+	1.00775i
$605$	12.9906	−	19.4418i	0.528143	−	0.790422i
$606$	−1.08807	+	18.2482i	−0.0442000	+	0.741284i
$607$	−9.72380			−0.394677			−0.197338	−	0.980335i	$-0.563230\pi$
$607$	−9.72380			−0.394677			−0.197338	+	0.980335i	$0.563230\pi$
$608$	0.0119649	−	30.9086i	0.000485243	−	1.25351i
$609$	−3.48746	+	19.4647i	−0.141319	+	0.788748i
$610$	6.22351	−	0.736112i	0.251983	−	0.0298043i
$611$	11.2174	+	7.49520i	0.453806	+	0.303223i
$612$	22.2580	+	12.5031i	0.899724	+	0.505409i
$613$	−29.7006	−	5.90781i	−1.19960	−	0.238614i	−0.445441	−	0.895311i	$-0.646953\pi$
$613$	−29.7006	−	5.90781i	−1.19960	−	0.238614i	−0.754155	+	0.656697i	$0.771953\pi$
$614$	22.7675	+	11.6029i	0.918823	+	0.468253i
$615$	16.6883	+	10.6964i	0.672937	+	0.431319i
$616$	−8.80574	+	36.6410i	−0.354793	+	1.47631i
$617$	−12.9781	−	31.3318i	−0.522477	−	1.26137i	−0.936360	−	0.351040i	$-0.885828\pi$
$617$	−12.9781	−	31.3318i	−0.522477	−	1.26137i	0.413884	−	0.910330i	$-0.364172\pi$
$618$	−2.28823	+	8.74565i	−0.0920460	+	0.351802i
$619$	11.1457	−	7.44732i	0.447983	−	0.299333i	−0.311039	−	0.950397i	$-0.600677\pi$
$619$	11.1457	−	7.44732i	0.447983	−	0.299333i	0.759023	+	0.651064i	$0.225677\pi$
$620$	−0.964324	−	24.6409i	−0.0387282	−	0.989604i
$621$	−21.5816	−	7.52547i	−0.866040	−	0.301987i
$622$	−1.83608	+	6.50833i	−0.0736202	+	0.260960i
$623$	7.17555	−	7.17555i	0.287482	−	0.287482i
$624$	39.1781	+	3.89365i	1.56838	+	0.155871i
$625$	−10.4434	−	10.4434i	−0.417735	−	0.417735i
$626$	3.81182	−	2.13433i	0.152351	−	0.0853052i
$627$	−45.9728	+	0.876417i	−1.83598	+	0.0350007i
$628$	14.4294	−	39.0940i	0.575796	−	1.56002i
$629$	2.93227	+	4.38846i	0.116917	+	0.174979i
$630$	−20.2547	+	7.44418i	−0.806965	+	0.296583i
$631$	−6.39028	+	2.64694i	−0.254393	+	0.105373i	−0.506236	−	0.862395i	$-0.668963\pi$
$631$	−6.39028	+	2.64694i	−0.254393	+	0.105373i	0.251843	+	0.967768i	$0.418963\pi$
$632$	5.08571	+	13.7953i	0.202299	+	0.548747i
$633$	−28.5416	−	18.2938i	−1.13443	−	0.727112i
$634$	13.2686	+	40.8474i	0.526965	+	1.62226i
$635$	3.48678	−	17.5292i	0.138369	−	0.695626i
$636$	0.561711	+	9.64438i	0.0222733	+	0.382425i
$637$	1.64085	−	2.45571i	0.0650130	−	0.0972988i
$638$	−17.7123	+	22.4644i	−0.701237	+	0.889373i
$639$	10.7382	+	3.97554i	0.424798	+	0.157270i
$640$	3.29398	−	20.7247i	0.130206	−	0.819216i
$641$			20.3331i			0.803108i	0.915835	+	0.401554i	$0.131530\pi$
$641$			20.3331i			0.803108i	−0.915835	+	0.401554i	$0.868470\pi$
$642$	1.99131	+	2.24383i	0.0785906	+	0.0885570i
$643$	39.5012	+	26.3938i	1.55777	+	1.04087i	0.973322	+	0.229444i	$0.0736908\pi$
$643$	39.5012	+	26.3938i	1.55777	+	1.04087i	0.584453	+	0.811428i	$0.301309\pi$
$644$	−5.62801	−	23.4584i	−0.221775	−	0.924389i
$645$	7.68576	−	19.6038i	0.302626	−	0.771900i
$646$	−31.2697	+	10.1575i	−1.23029	+	0.399641i
$647$	−7.92030	+	19.1213i	−0.311379	+	0.751736i	0.688275	+	0.725450i	$0.258368\pi$
$647$	−7.92030	+	19.1213i	−0.311379	+	0.751736i	−0.999654	+	0.0262864i	$0.991632\pi$
$648$	8.87100	−	23.8601i	0.348486	−	0.937314i
$649$	11.8603	+	28.6332i	0.465556	+	1.12395i
$650$	−9.53184	+	8.13968i	−0.373869	+	0.319265i
$651$	28.9344	−	12.6364i	1.13403	−	0.495259i
$652$	10.0444	+	3.70735i	0.393370	+	0.145191i
$653$	−2.80684	+	0.558315i	−0.109840	+	0.0218485i	−0.249704	−	0.968322i	$-0.580333\pi$
$653$	−2.80684	+	0.558315i	−0.109840	+	0.0218485i	0.139864	+	0.990171i	$0.455333\pi$
$654$	30.9638	−	10.7148i	1.21078	−	0.418980i
$655$	4.87068	−	4.87068i	0.190313	−	0.190313i
$656$	−18.7619	−	16.0342i	−0.732529	−	0.626031i
$657$	32.6026	−	14.9847i	1.27195	−	0.584608i
$658$	8.86082	+	2.49975i	0.345431	+	0.0974504i
$659$	27.7966	−	5.52908i	1.08280	−	0.215382i	0.378726	−	0.925509i	$-0.376362\pi$
$659$	27.7966	−	5.52908i	1.08280	−	0.215382i	0.704074	+	0.710127i	$0.251362\pi$
$660$	−30.9205	−	4.29978i	−1.20358	−	0.167369i
$661$	−12.7705	−	19.1124i	−0.496714	−	0.743386i	0.495408	−	0.868661i	$-0.335019\pi$
$661$	−12.7705	−	19.1124i	−0.496714	−	0.743386i	−0.992122	+	0.125275i	$0.960019\pi$
$662$	3.30788	−	41.9890i	0.128564	−	1.63195i
$663$	−8.95179	−	40.9120i	−0.347659	−	1.58889i
$664$	−10.2869	+	42.8044i	−0.399211	+	1.66113i
$665$	10.6352	−	25.6757i	0.412415	−	0.995659i
$666$	3.86894	−	3.56764i	0.149918	−	0.138243i
$667$	3.57274	−	17.9614i	0.138337	−	0.695467i
$668$	−0.824128	+	5.19813i	−0.0318865	+	0.201122i
$669$	−32.4878	+	33.7506i	−1.25605	+	1.30487i
$670$	−0.832748	−	7.04052i	−0.0321718	−	0.271999i
$671$			11.6078i			0.448115i
$672$	26.2493	−	5.73286i	1.01259	−	0.221150i
$673$			15.9241i			0.613829i	0.951737	+	0.306915i	$0.0992966\pi$
$673$			15.9241i			0.613829i	−0.951737	+	0.306915i	$0.900703\pi$
$674$	22.1038	−	2.61442i	0.851405	−	0.100704i
$675$	3.52421	+	7.29784i	0.135647	+	0.280894i
$676$	−22.6760	−	31.2210i	−0.872154	−	1.20081i
$677$	4.57034	−	22.9767i	0.175652	−	0.883065i	−0.787953	−	0.615736i	$-0.788859\pi$
$677$	4.57034	−	22.9767i	0.175652	−	0.883065i	0.963605	−	0.267329i	$-0.0861410\pi$
$678$	−21.2808	+	28.0747i	−0.817283	+	1.07820i
$679$	2.35755	−	5.69163i	0.0904745	−	0.218425i
$680$	−22.0480	+	3.48681i	−0.845502	+	0.133713i
$681$	−18.6251	+	4.07527i	−0.713714	+	0.156165i
$682$	45.5350	+	3.58723i	1.74362	+	0.137362i
$683$	23.4218	+	35.0532i	0.896211	+	1.34128i	0.939621	+	0.342218i	$0.111178\pi$
$683$	23.4218	+	35.0532i	0.896211	+	1.34128i	−0.0434094	+	0.999057i	$0.513822\pi$
$684$	14.8454	+	29.2297i	0.567627	+	1.11763i
$685$	4.96898	−	0.988391i	0.189855	−	0.0377645i
$686$	−6.82344	+	24.1869i	−0.260520	+	0.923461i
$687$	−0.525568	+	0.365853i	−0.0200517	+	0.0139582i
$688$	−12.8174	+	22.8705i	−0.488658	+	0.871929i
$689$	11.2063	−	11.2063i	0.426925	−	0.426925i
$690$	18.8858	−	6.53527i	0.718971	−	0.248793i
$691$	9.49831	−	1.88933i	0.361333	−	0.0718736i	−0.0110855	−	0.999939i	$-0.503529\pi$
$691$	9.49831	−	1.88933i	0.361333	−	0.0718736i	0.372418	+	0.928065i	$0.378529\pi$
$692$	24.3734	−	11.2317i	0.926539	−	0.426966i
$693$	−9.28629	−	38.8765i	−0.352757	−	1.47680i
$694$	−0.849846	−	0.995198i	−0.0322597	−	0.0377772i
$695$	0.221907	+	0.535730i	0.00841740	+	0.0203214i
$696$	19.9189	+	4.38717i	0.755024	+	0.166295i
$697$	−10.0465	+	24.2543i	−0.380537	+	0.918698i
$698$	−13.0120	−	40.0573i	−0.492511	−	1.51619i
$699$	7.16763	+	2.81010i	0.271105	+	0.106288i
$700$	−4.47050	+	7.29265i	−0.168969	+	0.275636i
$701$	−25.3298	−	16.9248i	−0.956692	−	0.639241i	−0.0239222	−	0.999714i	$-0.507615\pi$
$701$	−25.3298	−	16.9248i	−0.956692	−	0.639241i	−0.932770	+	0.360473i	$0.882615\pi$
$702$	−38.9143	+	15.1501i	−1.46872	+	0.571805i
$703$			6.77770i			0.255626i
$704$	37.4049	+	10.5680i	1.40975	+	0.398297i
$705$	−1.34509	+	7.50735i	−0.0506589	+	0.282743i
$706$	18.1874	+	14.3401i	0.684492	+	0.539696i
$707$	11.3699	−	17.0162i	0.427608	−	0.639961i
$708$	14.6899	−	16.5069i	0.552081	−	0.620367i
$709$	−0.530735	+	2.66819i	−0.0199322	+	0.100206i	−0.989471	−	0.144733i	$-0.953768\pi$
$709$	−0.530735	+	2.66819i	−0.0199322	+	0.100206i	0.969539	+	0.244939i	$0.0787678\pi$
$710$	−9.52219	+	3.09313i	−0.357361	+	0.116083i
$711$	−11.4394	−	10.5989i	−0.429012	−	0.397488i
$712$	−7.10309	−	7.68766i	−0.266200	−	0.288107i
$713$	−27.0143	+	11.1897i	−1.01169	+	0.419057i
$714$	−14.4357	−	24.6665i	−0.540243	−	0.923119i
$715$	28.4519	+	42.5813i	1.06404	+	1.59245i
$716$	15.0961	−	6.95657i	0.564168	−	0.259979i
$717$	0.533555	+	27.9878i	0.0199260	+	1.04522i
$718$	−11.4788	−	20.5007i	−0.428387	−	0.765078i
$719$	2.95133	+	2.95133i	0.110066	+	0.110066i	0.759995	−	0.649929i	$-0.225201\pi$
$719$	2.95133	+	2.95133i	0.110066	+	0.110066i	−0.649929	+	0.759995i	$0.725201\pi$
$720$	6.84719	+	21.1784i	0.255180	+	0.789273i
$721$	7.15618	−	7.15618i	0.266510	−	0.266510i
$722$	−14.7738	−	4.16789i	−0.549826	−	0.155113i
$723$	−45.5693	+	0.868726i	−1.69474	+	0.0323083i
$724$	21.2904	+	19.6867i	0.791250	+	0.731651i
$725$	−5.39912	+	3.60757i	−0.200518	+	0.133982i
$726$	7.81617	−	29.8736i	0.290085	−	1.10871i
$727$	8.05165	+	19.4384i	0.298619	+	0.720930i	0.999967	+	0.00811135i	$0.00258195\pi$
$727$	8.05165	+	19.4384i	0.298619	+	0.720930i	−0.701348	+	0.712819i	$0.747418\pi$
$728$	−35.6523	−	25.9156i	−1.32136	−	0.960495i
$729$	3.08124	+	26.8236i	0.114120	+	0.993467i
$730$	−14.2454	+	27.9529i	−0.527247	+	1.03458i
$731$	27.3520	+	5.44065i	1.01165	+	0.201230i
$732$	7.44906	−	3.60635i	0.275325	−	0.133295i
$733$	28.6759	+	19.1606i	1.05917	+	0.707713i	0.957887	−	0.287145i	$-0.0927060\pi$
$733$	28.6759	+	19.1606i	1.05917	+	0.707713i	0.101281	+	0.994858i	$0.467706\pi$
$734$	1.02902	+	8.69992i	0.0379818	+	0.321120i
$735$	1.64352	+	0.294467i	0.0606220	+	0.0108616i
$736$	−24.4063	+	4.84489i	−0.899627	+	0.178585i
$737$	13.1317			0.483712
$738$	25.4464	+	6.14209i	0.936694	+	0.226094i
$739$	−6.95996	+	10.4163i	−0.256026	+	0.383170i	−0.937109	−	0.349036i	$-0.886509\pi$
$739$	−6.95996	+	10.4163i	−0.256026	+	0.383170i	0.681083	+	0.732206i	$0.261509\pi$
$740$	−0.720552	+	4.54483i	−0.0264880	+	0.167071i
$741$	19.6300	−	50.0697i	0.721127	−	1.83936i
$742$	4.91075	−	9.63605i	0.180279	−	0.353750i
$743$	−0.150192	−	0.0622115i	−0.00551000	−	0.00228232i	0.379927	−	0.925017i	$-0.375949\pi$
$743$	−0.150192	−	0.0622115i	−0.00551000	−	0.00228232i	−0.385437	+	0.922734i	$0.625949\pi$
$744$	−11.8449	−	30.3355i	−0.434256	−	1.11215i
$745$	−15.2357	+	6.31083i	−0.558192	+	0.231211i
$746$	−35.8864	−	2.82712i	−1.31389	−	0.103508i
$747$	−10.8483	−	45.4159i	−0.396919	−	1.66168i
$748$	−1.61683	−	41.3142i	−0.0591173	−	1.51060i
$749$	−0.655216	−	3.29399i	−0.0239411	−	0.120360i
$750$	−26.8066	−	13.0237i	−0.978838	−	0.475558i
$751$	−11.3901	−	11.3901i	−0.415632	−	0.415632i	0.468063	−	0.883695i	$-0.344952\pi$
$751$	−11.3901	−	11.3901i	−0.415632	−	0.415632i	−0.883695	+	0.468063i	$0.844952\pi$
$752$	2.93726	−	9.03045i	0.107111	−	0.329307i
$753$	14.3313	+	20.5878i	0.522263	+	0.750260i
$754$	−16.3467	−	29.1945i	−0.595313	−	1.06320i
$755$	7.62523	+	38.3346i	0.277510	+	1.39514i
$756$	−22.0630	+	18.0375i	−0.802425	+	0.656019i
$757$	25.2501	−	16.8716i	0.917731	−	0.613208i	−0.00444009	−	0.999990i	$-0.501413\pi$
$757$	25.2501	−	16.8716i	0.917731	−	0.613208i	0.922171	+	0.386782i	$0.126413\pi$
$758$	1.16199	+	1.36073i	0.0422053	+	0.0494238i
$759$	7.91222	+	36.1609i	0.287195	+	1.31256i
$760$	−26.0290	−	12.0069i	−0.944172	−	0.435535i
$761$	−42.7772	−	17.7189i	−1.55067	−	0.642310i	−0.567235	−	0.823556i	$-0.691987\pi$
$761$	−42.7772	−	17.7189i	−1.55067	−	0.642310i	−0.983438	+	0.181246i	$0.941987\pi$
$762$	−3.21866	−	23.3823i	−0.116600	−	0.847053i
$763$	−35.9760	−	7.15608i	−1.30242	−	0.259068i
$764$	1.05875	+	4.41301i	0.0383041	+	0.159657i
$765$	19.1703	−	13.8945i	0.693103	−	0.502355i
$766$	−6.36418	−	5.01791i	−0.229947	−	0.181305i
$767$	−36.2491			−1.30888
$768$	−4.83926	−	27.2870i	−0.174622	−	0.984636i
$769$	−35.6461			−1.28543			−0.642715	−	0.766105i	$-0.722192\pi$
$769$	−35.6461			−1.28543			−0.642715	+	0.766105i	$0.722192\pi$
$770$	27.4441	+	21.6387i	0.989018	+	0.779803i
$771$	35.7797	+	34.4410i	1.28858	+	1.24036i
$772$	1.66896	+	6.95645i	0.0600671	+	0.250368i
$773$	−6.60145	−	1.31311i	−0.237438	−	0.0472293i	0.0749371	−	0.997188i	$-0.476124\pi$
$773$	−6.60145	−	1.31311i	−0.237438	−	0.0472293i	−0.312375	+	0.949959i	$0.601124\pi$
$774$	1.12574	−	27.7848i	0.0404638	−	0.998704i
$775$	9.57865	+	3.96761i	0.344075	+	0.142521i
$776$	−5.76997	−	2.66162i	−0.207130	−	0.0955465i
$777$	−5.75552	+	1.25934i	−0.206478	+	0.0451787i
$778$	−1.94430	−	2.27684i	−0.0697066	−	0.0816288i
$779$	−28.0309	+	18.7296i	−1.00431	+	0.671059i
$780$	18.4861	−	31.4876i	0.661907	−	1.12744i
$781$	−3.61788	−	18.1883i	−0.129458	−	0.650829i
$782$	12.9311	+	23.0943i	0.462414	+	0.825849i
$783$	−20.9420	+	5.42628i	−0.748406	+	0.193919i
$784$	−1.97695	−	0.643028i	−0.0706054	−	0.0229653i
$785$	−27.3274	−	27.3274i	−0.975358	−	0.975358i
$786$	3.97517	−	8.18207i	0.141790	−	0.291845i
$787$	4.24130	+	21.3224i	0.151186	+	0.760063i	0.979759	+	0.200182i	$0.0641532\pi$
$787$	4.24130	+	21.3224i	0.151186	+	0.760063i	−0.828573	+	0.559881i	$0.810847\pi$
$788$	−0.781712	−	19.9748i	−0.0278474	−	0.711571i
$789$	−0.357426	−	0.818422i	−0.0127247	−	0.0291366i
$790$	13.5934	+	1.07089i	0.483633	+	0.0381004i
$791$	36.4366	−	15.0925i	1.29553	−	0.536628i
$792$	−40.4458	+	7.98720i	−1.43718	+	0.283813i
$793$	−12.5432	−	5.19557i	−0.445423	−	0.184500i
$794$	−11.2926	+	22.1588i	−0.400761	+	0.786388i
$795$	8.34128	+	3.27023i	0.295835	+	0.115983i
$796$	3.16744	−	19.9784i	0.112267	−	0.708115i
$797$	−16.0658	+	24.0441i	−0.569079	+	0.851686i	−0.998682	−	0.0513314i	$-0.983654\pi$
$797$	−16.0658	+	24.0441i	−0.569079	+	0.851686i	0.429603	+	0.903018i	$0.358654\pi$
$798$	2.18448	−	36.6362i	0.0773297	−	1.29691i
$799$	−10.1012			−0.357356
$800$	7.33397	+	4.90451i	0.259295	+	0.173401i
$801$	10.4111	+	3.85444i	0.367859	+	0.136190i
$802$	−3.86656	−	32.6900i	−0.136533	−	1.15433i
$803$	−48.3179	−	32.2850i	−1.70510	−	1.13931i
$804$	−4.07979	−	8.42696i	−0.143883	−	0.297196i
$805$	−21.9429	−	4.36472i	−0.773387	−	0.153836i
$806$	−24.2574	+	47.5987i	−0.854430	+	1.67659i
$807$	−8.31883	+	12.9789i	−0.292837	+	0.456879i
$808$	−17.0744	−	12.4113i	−0.600675	−	0.436629i
$809$	20.7186	+	50.0190i	0.728426	+	1.75858i	0.647773	+	0.761833i	$0.275701\pi$
$809$	20.7186	+	50.0190i	0.728426	+	1.75858i	0.0806530	+	0.996742i	$0.474299\pi$
$810$	−16.6537	−	16.7329i	−0.585152	−	0.587933i
$811$	−25.7531	+	17.2076i	−0.904312	+	0.604242i	−0.918398	−	0.395659i	$-0.870516\pi$
$811$	−25.7531	+	17.2076i	−0.904312	+	0.604242i	0.0140856	+	0.999901i	$0.495516\pi$
$812$	−16.7649	−	15.5022i	−0.588334	−	0.544019i
$813$	−0.480151	−	25.1865i	−0.0168396	−	0.883329i
$814$	−8.20311	−	2.31420i	−0.287519	−	0.0811128i
$815$	7.02125	−	7.02125i	0.245944	−	0.245944i
$816$	−26.0101	+	13.8732i	−0.910537	+	0.485659i
$817$	25.3231	+	25.3231i	0.885943	+	0.885943i
$818$	−16.2908	−	29.0946i	−0.569595	−	1.01727i
$819$	46.1658	+	7.36623i	1.61316	+	0.257397i
$820$	−20.7875	+	9.57926i	−0.725931	+	0.334522i
$821$	−5.31810	−	7.95910i	−0.185603	−	0.277774i	0.726986	−	0.686652i	$-0.240920\pi$
$821$	−5.31810	−	7.95910i	−0.185603	−	0.277774i	−0.912589	+	0.408878i	$0.865920\pi$
$822$	5.77445	−	3.37942i	0.201407	−	0.117871i
$823$	1.22080	−	0.505670i	0.0425543	−	0.0176266i	−0.361305	−	0.932448i	$-0.617669\pi$
$823$	1.22080	−	0.505670i	0.0425543	−	0.0176266i	0.403859	+	0.914821i	$0.367669\pi$
$824$	−7.08391	−	7.66691i	−0.246780	−	0.267089i
$825$	7.08262	−	11.0502i	0.246585	−	0.384718i
$826$	−23.5274	+	7.64249i	−0.818622	+	0.265916i
$827$	1.49799	−	7.53091i	0.0520902	−	0.261875i	−0.945961	−	0.324282i	$-0.894877\pi$
$827$	1.49799	−	7.53091i	0.0520902	−	0.261875i	0.998051	+	0.0624063i	$0.0198775\pi$
$828$	20.7472	−	16.3121i	0.721017	−	0.566883i
$829$	14.5715	−	21.8077i	0.506088	−	0.757414i	−0.487174	−	0.873305i	$-0.661972\pi$
$829$	14.5715	−	21.8077i	0.506088	−	0.757414i	0.993262	+	0.115891i	$0.0369722\pi$
$830$	32.0605	+	25.2785i	1.11284	+	0.877429i
$831$	40.8737	+	7.32331i	1.41789	+	0.254043i
$832$	−28.1618	+	35.6889i	−0.976333	+	1.23729i
$833$			2.21137i			0.0766194i
$834$	0.508300	+	0.572760i	0.0176010	+	0.0198331i
$835$	4.05840	+	2.71174i	0.140447	+	0.0938435i
$836$	27.7488	−	45.2662i	0.959711	−	1.56556i
$837$	25.7805	+	22.9886i	0.891105	+	0.794604i
$838$	4.70177	+	14.4744i	0.162420	+	0.500009i
$839$	2.73742	−	6.60871i	0.0945062	−	0.228158i	−0.869556	−	0.493834i	$-0.835595\pi$
$839$	2.73742	−	6.60871i	0.0945062	−	0.228158i	0.964062	+	0.265676i	$0.0855951\pi$
$840$	5.35969	−	24.3344i	0.184927	−	0.839617i
$841$	4.46448	+	10.7782i	0.153948	+	0.371662i
$842$	30.7563	+	36.0166i	1.05993	+	1.24121i
$843$	7.36256	+	16.8585i	0.253580	+	0.580639i
$844$	35.5524	−	16.3832i	1.22376	−	0.563933i
$845$	−35.0982	+	6.98147i	−1.20742	+	0.240170i
$846$	1.56345	+	9.95009i	0.0537527	+	0.342091i
$847$	−24.4442	+	24.4442i	−0.839913	+	0.839913i
$848$	−9.73122	−	5.45370i	−0.334171	−	0.187281i
$849$	24.4103	+	35.0667i	0.837758	+	1.20349i
$850$	2.54816	−	9.03241i	0.0874011	−	0.309809i
$851$	5.35145	−	1.06447i	0.183445	−	0.0364895i
$852$	−10.5479	+	7.97249i	−0.361366	+	0.273133i
$853$	18.7414	+	28.0485i	0.641693	+	0.960361i	0.999646	+	0.0266213i	$0.00847482\pi$
$853$	18.7414	+	28.0485i	0.641693	+	0.960361i	−0.357953	+	0.933740i	$0.616525\pi$
$854$	−9.23653	−	0.727650i	−0.316068	−	0.0248997i
$855$	30.3816	−	1.15880i	1.03903	−	0.0396302i
$856$	−3.42160	+	0.541113i	−0.116948	+	0.0184949i
$857$	1.24738	−	3.01144i	0.0426097	−	0.102869i	−0.901142	−	0.433524i	$-0.857270\pi$
$857$	1.24738	−	3.01144i	0.0426097	−	0.102869i	0.943752	+	0.330655i	$0.107270\pi$
$858$	53.8972	+	40.8543i	1.84002	+	1.39474i
$859$	3.32514	−	16.7166i	0.113452	−	0.570363i	−0.881683	−	0.471843i	$-0.843589\pi$
$859$	3.32514	−	16.7166i	0.113452	−	0.570363i	0.995135	−	0.0985203i	$-0.0314109\pi$
$860$	14.2884	+	19.6727i	0.487231	+	0.670834i
$861$	−21.1133	−	20.3233i	−0.719538	−	0.692617i
$862$	56.2169	−	6.64930i	1.91476	−	0.226476i
$863$		−	50.3267i		−	1.71314i	−0.516031	−	0.856570i	$-0.672591\pi$
$863$		−	50.3267i		−	1.71314i	0.516031	−	0.856570i	$-0.327409\pi$
$864$	17.6914	+	23.4737i	0.601874	+	0.798591i
$865$		−	24.8887i		−	0.846241i
$866$	−1.45907	−	12.3358i	−0.0495812	−	0.419188i
$867$	1.37768	+	1.32613i	0.0467884	+	0.0450379i
$868$	−5.70883	+	36.0080i	−0.193770	+	1.22219i
$869$	−4.92728	+	24.7711i	−0.167147	+	0.840302i
$870$	11.4265	−	15.0745i	0.387395	−	0.511072i
$871$	−5.87764	+	14.1899i	−0.199156	+	0.480806i
$872$	−8.84074	+	36.7867i	−0.299385	+	1.24575i
$873$	6.73482	−	0.256876i	0.227939	−	0.00869395i
$874$	−2.66937	+	33.8840i	−0.0902928	+	1.14614i
$875$	18.5363	+	27.7415i	0.626640	+	0.937833i
$876$	−5.70661	+	41.0373i	−0.192808	+	1.38652i
$877$	−41.0570	+	8.16674i	−1.38639	+	0.275771i	−0.831211	−	0.555957i	$-0.812352\pi$
$877$	−41.0570	+	8.16674i	−1.38639	+	0.275771i	−0.555184	+	0.831728i	$0.687352\pi$
$878$	−22.5175	−	6.35248i	−0.759929	−	0.214386i
$879$	−16.7183	−	24.0168i	−0.563895	−	0.810066i
$880$	23.4195	−	27.4035i	0.789470	−	0.923771i
$881$	18.0469	−	18.0469i	0.608017	−	0.608017i	−0.334411	−	0.942427i	$-0.608537\pi$
$881$	18.0469	−	18.0469i	0.608017	−	0.608017i	0.942427	+	0.334411i	$0.108537\pi$
$882$	2.17828	−	0.342272i	0.0733465	−	0.0115249i
$883$	−14.0528	+	2.79527i	−0.472913	+	0.0940682i	−0.425792	−	0.904821i	$-0.640005\pi$
$883$	−14.0528	+	2.79527i	−0.472913	+	0.0940682i	−0.0471207	+	0.998889i	$0.515005\pi$
$884$	45.3672	+	16.7448i	1.52586	+	0.563189i
$885$	−8.20170	−	18.7800i	−0.275697	−	0.631282i
$886$	38.8169	−	33.1475i	1.30408	−	1.11361i
$887$	4.36421	+	10.5361i	0.146536	+	0.353769i	0.980056	−	0.198720i	$-0.0636784\pi$
$887$	4.36421	+	10.5361i	0.146536	+	0.353769i	−0.833521	+	0.552488i	$0.813678\pi$
$888$	1.06348	+	5.98314i	0.0356881	+	0.200781i
$889$	−10.1118	+	24.4121i	−0.339139	+	0.818755i
$890$	−9.23214	+	2.99891i	−0.309462	+	0.100524i
$891$	34.4021	−	26.9927i	1.15252	−	0.904291i
$892$	−12.6197	−	52.6006i	−0.422538	−	1.76120i
$893$	−10.7854	−	7.20660i	−0.360921	−	0.241160i
$894$	−16.2888	+	14.4556i	−0.544778	+	0.483468i
$895$		−	15.4152i		−	0.515275i
$896$	−10.7539	+	29.1012i	−0.359263	+	0.972202i
$897$	−42.6163	−	7.63553i	−1.42292	−	0.254943i
$898$	−6.69147	+	8.48674i	−0.223297	+	0.283206i
$899$	−15.3760	+	23.0119i	−0.512819	+	0.767488i
$900$	−9.29166	−	1.11201i	−0.309722	−	0.0370669i
$901$	−2.31495	+	11.6381i	−0.0771223	+	0.387720i
$902$	−13.0977	−	40.3211i	−0.436105	−	1.34255i
$903$	−16.7988	+	26.2092i	−0.559029	+	0.872187i
$904$	−14.0707	−	38.1676i	−0.467984	−	1.26943i
$905$	24.8453	−	10.2913i	0.825886	−	0.342093i
$906$	26.0715	+	44.5487i	0.866167	+	1.48003i
$907$	−7.89232	−	11.8117i	−0.262060	−	0.392201i	0.676984	−	0.735998i	$-0.263287\pi$
$907$	−7.89232	−	11.8117i	−0.262060	−	0.392201i	−0.939044	+	0.343797i	$0.888287\pi$
$908$	7.62302	−	20.6533i	0.252979	−	0.685403i
$909$	22.1095	+	3.52779i	0.733324	+	0.117009i
$910$	−35.6662	+	19.9704i	−1.18232	+	0.662012i
$911$	39.4079	+	39.4079i	1.30564	+	1.30564i	0.924528	+	0.381114i	$0.124459\pi$
$911$	39.4079	+	39.4079i	1.30564	+	1.30564i	0.381114	+	0.924528i	$0.375541\pi$
$912$	−37.6696	−	3.74372i	−1.24736	−	0.123967i
$913$	−53.4731	+	53.4731i	−1.76970	+	1.76970i
$914$	6.46457	−	22.9148i	0.213829	−	0.757956i
$915$	−0.146295	−	7.67395i	−0.00483636	−	0.253693i
$916$	−0.0289156	−	0.738867i	−0.000955397	−	0.0244128i
$917$	−8.46742	+	5.65775i	−0.279619	+	0.186835i
$918$	17.9241	−	25.6192i	0.591584	−	0.845560i
$919$	−13.7841	−	33.2777i	−0.454694	−	1.09773i	−0.970517	−	0.241034i	$-0.922514\pi$
$919$	−13.7841	−	33.2777i	−0.454694	−	1.09773i	0.515822	−	0.856696i	$-0.327486\pi$
$920$	−5.39225	+	22.4374i	−0.177777	+	0.739738i
$921$	16.8883	−	26.3489i	0.556490	−	0.868226i
$922$	−25.0398	−	12.7609i	−0.824641	−	0.420256i
$923$	21.2733	+	4.23153i	0.700220	+	0.139282i
$924$	43.5952	+	15.1531i	1.43418	+	0.498500i
$925$	−1.60862	−	1.07485i	−0.0528912	−	0.0353408i
$926$	23.7300	−	2.80677i	0.779816	−	0.0922361i
$927$	10.3830	+	3.84403i	0.341023	+	0.126255i
$928$	−16.6600	+	16.6471i	−0.546890	+	0.546467i
$929$	−22.0567			−0.723657			−0.361829	−	0.932245i	$-0.617847\pi$
$929$	−22.0567			−0.723657			−0.361829	+	0.932245i	$0.617847\pi$
$930$	−30.1484	−	1.79764i	−0.988606	−	0.0589468i
$931$	−1.57767	+	2.36115i	−0.0517062	+	0.0773837i
$932$	−7.19281	+	5.22418i	−0.235608	+	0.171124i
$933$	7.71075	+	3.02303i	0.252439	+	0.0989696i
$934$	−43.0283	−	21.9282i	−1.40793	−	0.717513i
$935$	−35.4257	−	14.6738i	−1.15854	−	0.479884i
$936$	9.47239	−	47.2801i	0.309615	−	1.54540i
$937$	48.3543	−	20.0290i	1.57967	−	0.654319i	0.591306	−	0.806447i	$-0.298613\pi$
$937$	48.3543	−	20.0290i	1.57967	−	0.654319i	0.988361	+	0.152128i	$0.0486126\pi$
$938$	−0.823175	+	10.4491i	−0.0268776	+	0.341175i
$939$	−2.14140	−	4.90331i	−0.0698820	−	0.160013i
$940$	−6.46610	−	5.97906i	−0.210901	−	0.195015i
$941$	8.32105	+	41.8327i	0.271258	+	1.36371i	0.840622	+	0.541622i	$0.182190\pi$
$941$	8.32105	+	41.8327i	0.271258	+	1.36371i	−0.569364	+	0.822086i	$0.692810\pi$
$942$	−45.9064	−	22.3031i	−1.49571	−	0.726674i
$943$	19.1907	+	19.1907i	0.624934	+	0.624934i
$944$	6.91827	+	24.5594i	0.225170	+	0.799342i
$945$	6.62914	+	25.5843i	0.215646	+	0.832257i
$946$	−39.2952	+	22.0024i	−1.27760	+	0.715358i
$947$	−0.687226	−	3.45492i	−0.0223318	−	0.112270i	0.968012	−	0.250905i	$-0.0807283\pi$
$947$	−0.687226	−	3.45492i	−0.0223318	−	0.112270i	−0.990343	+	0.138636i	$0.955728\pi$
$948$	17.4271	−	4.53399i	0.566006	−	0.147257i
$949$	56.5133	−	37.7610i	1.83450	−	1.22577i
$950$	9.16482	−	7.82627i	0.297346	−	0.253918i
$951$	51.3852	−	11.2434i	1.66628	−	0.364592i
$952$	32.9757	+	1.30329i	1.06875	+	0.0422399i
$953$	53.1464	+	22.0140i	1.72158	+	0.713102i	0.999779	+	0.0210009i	$0.00668529\pi$
$953$	53.1464	+	22.0140i	1.72158	+	0.713102i	0.721801	+	0.692101i	$0.243315\pi$
$954$	11.8222	+	0.478993i	0.382759	+	0.0155080i
$955$	4.12793	+	0.821096i	0.133577	+	0.0265700i
$956$	−27.5576	−	16.8932i	−0.891278	−	0.546365i
$957$	25.2423	+	24.2979i	0.815968	+	0.785439i
$958$	−4.56733	+	5.79270i	−0.147564	+	0.187154i
$959$	−7.49020			−0.241871
$960$	−24.8616	−	6.51511i	−0.802404	−	0.210274i
$961$	13.1894			0.425464
$962$	6.17234	−	7.82833i	0.199004	−	0.252395i
$963$	2.97501	−	2.15626i	0.0958683	−	0.0694845i
$964$	27.5053	−	44.8689i	0.885885	−	1.44513i
$965$	6.50706	+	1.29433i	0.209470	+	0.0416661i
$966$	−29.2698	+	4.02909i	−0.941740	+	0.129634i
$967$	35.8213	+	14.8377i	1.15193	+	0.477147i	0.875182	−	0.483794i	$-0.160742\pi$
$967$	35.8213	+	14.8377i	1.15193	+	0.477147i	0.276753	+	0.960941i	$0.410742\pi$
$968$	24.1974	+	26.1888i	0.777733	+	0.841738i
$969$	8.60710	+	39.3367i	0.276500	+	1.26368i
$970$	−4.48137	+	3.82685i	−0.143888	+	0.122873i
$971$	5.60043	−	3.74209i	0.179726	−	0.120089i	−0.462453	−	0.886644i	$-0.653031\pi$
$971$	5.60043	−	3.74209i	0.179726	−	0.120089i	0.642179	+	0.766555i	$0.278031\pi$
$972$	−28.0101	−	13.6906i	−0.898425	−	0.439126i
$973$	−0.167250	−	0.840823i	−0.00536179	−	0.0269556i
$974$	−5.34470	+	2.99263i	−0.171255	+	0.0958900i
$975$	8.77052	+	12.5993i	0.280882	+	0.403502i
$976$	−1.12618	+	9.48986i	−0.0360481	+	0.303763i
$977$	12.2498	+	12.2498i	0.391905	+	0.391905i	0.875366	−	0.483461i	$-0.160620\pi$
$977$	12.2498	+	12.2498i	0.391905	+	0.391905i	−0.483461	+	0.875366i	$0.660620\pi$
$978$	5.73034	−	11.7947i	0.183236	−	0.377154i
$979$	−3.50768	−	17.6343i	−0.112106	−	0.563594i
$980$	−1.30894	+	1.41556i	−0.0418125	+	0.0452185i
$981$	−9.32320	−	39.0311i	−0.297667	−	1.24617i
$982$	−3.83896	+	48.7304i	−0.122506	+	1.55505i
$983$	−27.4233	+	11.3591i	−0.874667	+	0.362299i	−0.774426	−	0.632664i	$-0.781961\pi$
$983$	−27.4233	+	11.3591i	−0.874667	+	0.362299i	−0.100241	+	0.994963i	$0.531961\pi$
$984$	−21.8059	+	20.9322i	−0.695148	+	0.667295i
$985$	−17.1277	−	7.09454i	−0.545735	−	0.226051i
$986$	22.3209	+	11.3753i	0.710844	+	0.362262i
$987$	4.11573	−	10.4979i	0.131005	−	0.334151i
$988$	36.4937	+	50.2456i	1.16102	+	1.59853i
$989$	16.0172	−	23.9714i	0.509316	−	0.762245i
$990$	−8.97109	+	37.1668i	−0.285120	+	1.18124i
$991$	−38.0058			−1.20729			−0.603646	−	0.797252i	$-0.706286\pi$
$991$	−38.0058			−1.20729			−0.603646	+	0.797252i	$0.706286\pi$
$992$	36.8786	+	7.35045i	1.17090	+	0.233377i
$993$	−50.7766	−	9.09760i	−1.61135	−	0.288704i
$994$	14.6995	−	1.73865i	0.466240	−	0.0551466i
$995$	−15.5980	−	10.4222i	−0.494489	−	0.330407i
$996$	50.9283	+	17.7020i	1.61373	+	0.560908i
$997$	51.6499	+	10.2738i	1.63577	+	0.325374i	0.925555	−	0.378613i	$-0.123599\pi$
$997$	51.6499	+	10.2738i	1.63577	+	0.325374i	0.710213	+	0.703987i	$0.248599\pi$
$998$	20.5461	+	10.4708i	0.650377	+	0.331447i
$999$	−3.88140	−	5.14585i	−0.122802	−	0.162808i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	192.2.s.a.155.24	yes	240
3.2	odd	2	inner	192.2.s.a.155.7	yes	240
4.3	odd	2		768.2.s.a.527.9		240
12.11	even	2		768.2.s.a.527.21		240
64.19	odd	16	inner	192.2.s.a.83.7	✓	240
64.45	even	16		768.2.s.a.239.21		240
192.83	even	16	inner	192.2.s.a.83.24	yes	240
192.173	odd	16		768.2.s.a.239.9		240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
192.2.s.a.83.7	✓	240	64.19	odd	16	inner
192.2.s.a.83.24	yes	240	192.83	even	16	inner
192.2.s.a.155.7	yes	240	3.2	odd	2	inner
192.2.s.a.155.24	yes	240	1.1	even	1	trivial
768.2.s.a.239.9		240	192.173	odd	16
768.2.s.a.239.21		240	64.45	even	16
768.2.s.a.527.9		240	4.3	odd	2
768.2.s.a.527.21		240	12.11	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:	\( N \)	\(=\)	\( 192 = 2^{6} \cdot 3 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	192.s (of order \(16\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(1.11054 + 0.875617i) q^{2} +(1.20118 - 1.24787i) q^{3} +(0.466590 + 1.94481i) q^{4} +(1.81918 + 0.361856i) q^{5} +(2.42661 - 0.334031i) q^{6} +(-2.53347 - 1.04940i) q^{7} +(-1.18475 + 2.56834i) q^{8} +(-0.114341 - 2.99782i) q^{9} +O(q^{10})\)	\(q+(1.11054 + 0.875617i) q^{2} +(1.20118 - 1.24787i) q^{3} +(0.466590 + 1.94481i) q^{4} +(1.81918 + 0.361856i) q^{5} +(2.42661 - 0.334031i) q^{6} +(-2.53347 - 1.04940i) q^{7} +(-1.18475 + 2.56834i) q^{8} +(-0.114341 - 2.99782i) q^{9} +(1.70342 + 1.99476i) q^{10} +(-4.03981 + 2.69931i) q^{11} +(2.98732 + 1.75382i) q^{12} +(-1.10865 - 5.57354i) q^{13} +(-1.89465 - 3.38375i) q^{14} +(2.63670 - 1.83543i) q^{15} +(-3.56459 + 1.81486i) q^{16} +(3.00866 + 3.00866i) q^{17} +(2.49796 - 3.42931i) q^{18} +(1.06596 + 5.35893i) q^{19} +(0.145065 + 3.70679i) q^{20} +(-4.35266 + 1.90092i) q^{21} +(-6.84993 - 0.539635i) q^{22} +(4.06382 - 1.68329i) q^{23} +(1.78186 + 4.56344i) q^{24} +(-1.44094 - 0.596856i) q^{25} +(3.64909 - 7.16038i) q^{26} +(-3.87822 - 3.45823i) q^{27} +(0.858792 - 5.41677i) q^{28} +(2.31305 - 3.46173i) q^{29} +(4.53530 + 0.270423i) q^{30} -6.64751 q^{31} +(-5.54773 - 1.10575i) q^{32} +(-1.48415 + 8.28350i) q^{33} +(0.706797 + 5.97566i) q^{34} +(-4.22910 - 2.82579i) q^{35} +(5.77685 - 1.62112i) q^{36} +(1.21661 + 0.241999i) q^{37} +(-3.50859 + 6.88467i) q^{38} +(-8.28672 - 5.31138i) q^{39} +(-3.08463 + 4.24356i) q^{40} +(2.36116 + 5.70035i) q^{41} +(-6.49828 - 1.70022i) q^{42} +(5.44971 - 3.64138i) q^{43} +(-7.13459 - 6.59720i) q^{44} +(0.876774 - 5.49494i) q^{45} +(5.98694 + 1.68899i) q^{46} +(-1.67870 + 1.67870i) q^{47} +(-2.01701 + 6.62810i) q^{48} +(0.367501 + 0.367501i) q^{49} +(-1.07760 - 1.92454i) q^{50} +(7.36833 - 0.140469i) q^{51} +(10.3222 - 4.75667i) q^{52} +(1.54938 + 2.31881i) q^{53} +(-1.27883 - 7.23634i) q^{54} +(-8.32589 + 3.44870i) q^{55} +(5.69674 - 5.26355i) q^{56} +(7.96764 + 5.10686i) q^{57} +(5.59988 - 1.81903i) q^{58} +(1.24445 - 6.25625i) q^{59} +(4.79983 + 4.27150i) q^{60} +(1.32732 - 1.98647i) q^{61} +(-7.38231 - 5.82067i) q^{62} +(-2.85623 + 7.71489i) q^{63} +(-5.19276 - 6.08566i) q^{64} -10.5404i q^{65} +(-8.90138 + 7.89960i) q^{66} +(-2.24725 - 1.50157i) q^{67} +(-4.44746 + 7.25508i) q^{68} +(2.78085 - 7.09304i) q^{69} +(-2.22226 - 6.84123i) q^{70} +(-1.46064 + 3.52630i) q^{71} +(7.83489 + 3.25798i) q^{72} +(4.57706 + 11.0500i) q^{73} +(1.13920 + 1.33404i) q^{74} +(-2.47562 + 1.08117i) q^{75} +(-9.92475 + 4.57351i) q^{76} +(13.0674 - 2.59927i) q^{77} +(-4.55199 - 13.1545i) q^{78} +(3.67572 - 3.67572i) q^{79} +(-7.14133 + 2.01168i) q^{80} +(-8.97385 + 0.685550i) q^{81} +(-2.36916 + 8.39793i) q^{82} +(15.2655 - 3.03649i) q^{83} +(-5.72784 - 7.57816i) q^{84} +(4.38457 + 6.56198i) q^{85} +(9.24057 + 0.727968i) q^{86} +(-1.54138 - 7.04453i) q^{87} +(-2.14662 - 13.5736i) q^{88} +(-1.41615 + 3.41889i) q^{89} +(5.78515 - 5.33462i) q^{90} +(-3.04014 + 15.2838i) q^{91} +(5.16982 + 7.11796i) q^{92} +(-7.98484 + 8.29520i) q^{93} +(-3.33415 + 0.394361i) q^{94} +10.1346i q^{95} +(-8.04364 + 5.59463i) q^{96} +2.24657i q^{97} +(0.0863337 + 0.729914i) q^{98} +(8.55398 + 11.8020i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9}+O(q^{10}) \) 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9	\( 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9} - 16 q^{10} - 8 q^{12} - 16 q^{13} - 8 q^{15} - 16 q^{16} - 8 q^{18} - 16 q^{19} - 8 q^{21} - 16 q^{22} - 48 q^{24} - 16 q^{25} - 8 q^{27} - 16 q^{28} - 88 q^{30} - 32 q^{31} - 16 q^{34} - 88 q^{36} - 16 q^{37} - 8 q^{39} - 16 q^{40} - 48 q^{42} - 16 q^{43} - 8 q^{45} - 16 q^{46} - 8 q^{48} - 16 q^{49} - 8 q^{51} + 32 q^{52} - 8 q^{54} - 80 q^{55} - 8 q^{57} + 128 q^{58} - 8 q^{60} - 16 q^{61} + 80 q^{64} - 24 q^{66} - 144 q^{67} - 8 q^{69} + 80 q^{70} - 8 q^{72} - 16 q^{73} - 8 q^{75} + 96 q^{76} + 16 q^{78} - 48 q^{79} - 8 q^{81} + 64 q^{82} + 104 q^{84} - 16 q^{85} - 8 q^{87} + 64 q^{88} + 136 q^{90} - 16 q^{91} - 32 q^{93} + 80 q^{94} + 128 q^{96} - 8 q^{99}+O(q^{100}) \) 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9 - 16 * q^10 - 8 * q^12 - 16 * q^13 - 8 * q^15 - 16 * q^16 - 8 * q^18 - 16 * q^19 - 8 * q^21 - 16 * q^22 - 48 * q^24 - 16 * q^25 - 8 * q^27 - 16 * q^28 - 88 * q^30 - 32 * q^31 - 16 * q^34 - 88 * q^36 - 16 * q^37 - 8 * q^39 - 16 * q^40 - 48 * q^42 - 16 * q^43 - 8 * q^45 - 16 * q^46 - 8 * q^48 - 16 * q^49 - 8 * q^51 + 32 * q^52 - 8 * q^54 - 80 * q^55 - 8 * q^57 + 128 * q^58 - 8 * q^60 - 16 * q^61 + 80 * q^64 - 24 * q^66 - 144 * q^67 - 8 * q^69 + 80 * q^70 - 8 * q^72 - 16 * q^73 - 8 * q^75 + 96 * q^76 + 16 * q^78 - 48 * q^79 - 8 * q^81 + 64 * q^82 + 104 * q^84 - 16 * q^85 - 8 * q^87 + 64 * q^88 + 136 * q^90 - 16 * q^91 - 32 * q^93 + 80 * q^94 + 128 * q^96 - 8 * q^99

Introduction

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