LMFDB - Embedded newform 588.2.x.a.223.17

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [588,2,Mod(55,588)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(588, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([7, 0, 9]))

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

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

chi := DirichletCharacter("588.55");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 588 = 2^{2} \cdot 3 \cdot 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	588.x (of order $14$, degree $6$, 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:	$4.69520363885$
Analytic rank:	$0$
Dimension:	$168$
Relative dimension:	$28$ over $\Q(\zeta_{14})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label			223.17
Character	$\chi$	$=$	588.223
Dual form			588.2.x.a.559.17

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.334927 + 1.37398i) q^{2} +(-0.222521 + 0.974928i) q^{3} +(-1.77565 + 0.920366i) q^{4} +(3.66097 + 0.835592i) q^{5} +(-1.41406 + 0.0207900i) q^{6} +(0.940574 - 2.47292i) q^{7} +(-1.85928 - 2.13145i) q^{8} +(-0.900969 - 0.433884i) q^{9} +O(q^{10})$	\(q+(0.334927 + 1.37398i) q^{2} +(-0.222521 + 0.974928i) q^{3} +(-1.77565 + 0.920366i) q^{4} +(3.66097 + 0.835592i) q^{5} +(-1.41406 + 0.0207900i) q^{6} +(0.940574 - 2.47292i) q^{7} +(-1.85928 - 2.13145i) q^{8} +(-0.900969 - 0.433884i) q^{9} +(0.0780688 + 5.30996i) q^{10} +(0.615107 + 1.27728i) q^{11} +(-0.502172 - 1.93593i) q^{12} +(2.92044 + 6.06435i) q^{13} +(3.71277 + 0.464085i) q^{14} +(-1.62928 + 3.38324i) q^{15} +(2.30585 - 3.26849i) q^{16} +(-2.52480 + 2.01346i) q^{17} +(0.294389 - 1.38323i) q^{18} +3.53465 q^{19} +(-7.26964 + 1.88571i) q^{20} +(2.20162 + 1.46727i) q^{21} +(-1.54895 + 1.27294i) q^{22} +(-5.43528 - 4.33449i) q^{23} +(2.49174 - 1.33837i) q^{24} +(8.19963 + 3.94874i) q^{25} +(-7.35417 + 6.04374i) q^{26} +(0.623490 - 0.781831i) q^{27} +(0.605861 + 5.25670i) q^{28} +(3.09780 + 3.88452i) q^{29} +(-5.19420 - 1.10547i) q^{30} -1.53816 q^{31} +(5.26314 + 2.07349i) q^{32} +(-1.38213 + 0.315463i) q^{33} +(-3.61208 - 2.79467i) q^{34} +(5.50976 - 8.26734i) q^{35} +(1.99914 - 0.0587966i) q^{36} +(-6.46581 - 8.10787i) q^{37} +(1.18385 + 4.85654i) q^{38} +(-6.56216 + 1.49777i) q^{39} +(-5.02573 - 9.35678i) q^{40} +(-4.59645 - 1.04911i) q^{41} +(-1.27862 + 3.51641i) q^{42} +(-1.11278 + 0.253985i) q^{43} +(-2.26778 - 1.70188i) q^{44} +(-2.93587 - 2.34128i) q^{45} +(4.13509 - 8.91971i) q^{46} +(-3.04994 + 1.46877i) q^{47} +(2.67344 + 2.97535i) q^{48} +(-5.23064 - 4.65192i) q^{49} +(-2.67921 + 12.5887i) q^{50} +(-1.40116 - 2.90954i) q^{51} +(-10.7671 - 8.08028i) q^{52} +(5.08062 - 6.37090i) q^{53} +(1.28305 + 0.594807i) q^{54} +(1.18460 + 5.19007i) q^{55} +(-7.01969 + 2.59305i) q^{56} +(-0.786534 + 3.44603i) q^{57} +(-4.29972 + 5.55735i) q^{58} +(1.42951 + 6.26308i) q^{59} +(-0.220788 - 7.50699i) q^{60} +(8.39662 - 6.69608i) q^{61} +(-0.515171 - 2.11340i) q^{62} +(-1.92039 + 1.81992i) q^{63} +(-1.08617 + 7.92592i) q^{64} +(5.62431 + 24.6417i) q^{65} +(-0.896353 - 1.79337i) q^{66} +10.7256i q^{67} +(2.63003 - 5.89894i) q^{68} +(5.43528 - 4.33449i) q^{69} +(13.2045 + 4.80136i) q^{70} +(-5.74181 - 4.57894i) q^{71} +(0.750350 + 2.72708i) q^{72} +(3.06354 - 6.36150i) q^{73} +(8.97449 - 11.5994i) q^{74} +(-5.67432 + 7.11538i) q^{75} +(-6.27630 + 3.25317i) q^{76} +(3.73717 - 0.319729i) q^{77} +(-4.25575 - 8.51464i) q^{78} -4.18757i q^{79} +(11.1728 - 10.0391i) q^{80} +(0.623490 + 0.781831i) q^{81} +(-0.0980176 - 6.66681i) q^{82} +(6.05594 + 2.91639i) q^{83} +(-5.25972 - 0.579056i) q^{84} +(-10.9256 + 5.26151i) q^{85} +(-0.721670 - 1.44387i) q^{86} +(-4.47645 + 2.15574i) q^{87} +(1.57881 - 3.68589i) q^{88} +(-1.93655 + 4.02129i) q^{89} +(2.23357 - 4.81799i) q^{90} +(17.7435 - 1.51803i) q^{91} +(13.6405 + 2.69408i) q^{92} +(0.342273 - 1.49959i) q^{93} +(-3.03957 - 3.69863i) q^{94} +(12.9402 + 2.95353i) q^{95} +(-3.19266 + 4.66979i) q^{96} -8.69538i q^{97} +(4.63977 - 8.74485i) q^{98} -1.41768i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) $ 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9	$ 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + 20 q^{10} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 q^{42} + 20 q^{44} - 28 q^{46} - 8 q^{47} + 8 q^{48} - 8 q^{49} + 114 q^{50} + 20 q^{52} - 8 q^{53} - q^{56} + 12 q^{57} - 6 q^{58} + 20 q^{59} + 10 q^{60} - 14 q^{61} - 16 q^{62} - 12 q^{63} + 42 q^{64} - 8 q^{65} - 6 q^{66} - 16 q^{68} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98}+O(q^{100}) $ 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9 + 20 * q^10 - 12 * q^14 + 36 * q^16 + 12 * q^19 - 25 * q^20 + 2 * q^21 - 6 * q^22 - 15 * q^24 + 32 * q^25 + 6 * q^26 - 28 * q^27 - 66 * q^28 - 8 * q^30 - 4 * q^31 + 25 * q^32 - 68 * q^34 - 12 * q^35 - 10 * q^37 + 35 * q^38 + 14 * q^39 + 16 * q^40 + 9 * q^42 + 20 * q^44 - 28 * q^46 - 8 * q^47 + 8 * q^48 - 8 * q^49 + 114 * q^50 + 20 * q^52 - 8 * q^53 - q^56 + 12 * q^57 - 6 * q^58 + 20 * q^59 + 10 * q^60 - 14 * q^61 - 16 * q^62 - 12 * q^63 + 42 * q^64 - 8 * q^65 - 6 * q^66 - 16 * q^68 + 59 * q^70 + 28 * q^71 - 15 * q^72 + 22 * q^74 + 18 * q^75 + 7 * q^76 + 8 * q^77 + 6 * q^78 + 26 * q^80 - 28 * q^81 + 12 * q^82 + 10 * q^83 + 11 * q^84 - 24 * q^85 - 6 * q^86 - 242 * q^88 + 20 * q^90 - 16 * q^91 + 7 * q^92 - 4 * q^93 - 53 * q^94 - 10 * q^96 - 118 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/588\mathbb{Z}\right)^\times$.

$n$	$197$	$295$	$493$
$\chi(n)$	$1$	$-1$	$e\left(\frac{1}{14}\right)$

Coefficient data

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

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

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

$2$	0.334927	+	1.37398i	0.236829	+	0.971551i
$2$	0.334927	+	1.37398i	0.236829	+	0.971551i
$3$	−0.222521	+	0.974928i	−0.128473	+	0.562875i
$3$	−0.222521	+	0.974928i	−0.128473	+	0.562875i
$4$	−1.77565	+	0.920366i	−0.887824	+	0.460183i
$5$	3.66097	+	0.835592i	1.63724	+	0.373688i	0.939468	−	0.342637i	$-0.111320\pi$
$5$	3.66097	+	0.835592i	1.63724	+	0.373688i	0.697767	+	0.716325i	$0.254177\pi$
$6$	−1.41406	+	0.0207900i	−0.577288	+	0.00848747i
$7$	0.940574	−	2.47292i	0.355504	−	0.934675i
$7$	0.940574	−	2.47292i	0.355504	−	0.934675i
$8$	−1.85928	−	2.13145i	−0.657354	−	0.753582i
$9$	−0.900969	−	0.433884i	−0.300323	−	0.144628i
$10$	0.0780688	+	5.30996i	0.0246875	+	1.67916i
$11$	0.615107	+	1.27728i	0.185462	+	0.385115i	0.972882	−	0.231301i	$-0.0742982\pi$
$11$	0.615107	+	1.27728i	0.185462	+	0.385115i	−0.787421	+	0.616416i	$0.788584\pi$
$12$	−0.502172	−	1.93593i	−0.144965	−	0.558855i
$13$	2.92044	+	6.06435i	0.809984	+	1.68195i	0.728268	+	0.685292i	$0.240326\pi$
$13$	2.92044	+	6.06435i	0.809984	+	1.68195i	0.0817156	+	0.996656i	$0.473960\pi$
$14$	3.71277	+	0.464085i	0.992278	+	0.124032i
$15$	−1.62928	+	3.38324i	−0.420679	+	0.873550i
$16$	2.30585	−	3.26849i	0.576463	−	0.817123i
$17$	−2.52480	+	2.01346i	−0.612354	+	0.488336i	−0.879868	−	0.475218i	$-0.842369\pi$
$17$	−2.52480	+	2.01346i	−0.612354	+	0.488336i	0.267514	+	0.963554i	$0.413798\pi$
$18$	0.294389	−	1.38323i	0.0693882	−	0.326031i
$19$	3.53465			0.810904			0.405452	−	0.914116i	$-0.367114\pi$
$19$	3.53465			0.810904			0.405452	+	0.914116i	$0.367114\pi$
$20$	−7.26964	+	1.88571i	−1.62554	+	0.421659i
$21$	2.20162	+	1.46727i	0.480433	+	0.320184i
$22$	−1.54895	+	1.27294i	−0.330236	+	0.271392i
$23$	−5.43528	−	4.33449i	−1.13333	−	0.903804i	−0.137105	−	0.990557i	$-0.543780\pi$
$23$	−5.43528	−	4.33449i	−1.13333	−	0.903804i	−0.996230	+	0.0867524i	$0.972351\pi$
$24$	2.49174	−	1.33837i	0.508624	−	0.273194i
$25$	8.19963	+	3.94874i	1.63993	+	0.789747i
$26$	−7.35417	+	6.04374i	−1.44227	+	1.18527i
$27$	0.623490	−	0.781831i	0.119991	−	0.150464i
$28$	0.605861	+	5.25670i	0.114497	+	0.993424i
$29$	3.09780	+	3.88452i	0.575247	+	0.721337i	0.981294	−	0.192515i	$-0.0616645\pi$
$29$	3.09780	+	3.88452i	0.575247	+	0.721337i	−0.406047	+	0.913852i	$0.633093\pi$
$30$	−5.19420	−	1.10547i	−0.948328	−	0.201830i
$31$	−1.53816			−0.276261			−0.138131	−	0.990414i	$-0.544109\pi$
$31$	−1.53816			−0.276261			−0.138131	+	0.990414i	$0.544109\pi$
$32$	5.26314	+	2.07349i	0.930400	+	0.366545i
$33$	−1.38213	+	0.315463i	−0.240598	+	0.0549150i
$34$	−3.61208	−	2.79467i	−0.619467	−	0.479281i
$35$	5.50976	−	8.26734i	0.931320	−	1.39743i
$36$	1.99914	−	0.0587966i	0.333189	−	0.00979943i
$37$	−6.46581	−	8.10787i	−1.06297	−	1.33293i	−0.940250	−	0.340484i	$-0.889409\pi$
$37$	−6.46581	−	8.10787i	−1.06297	−	1.33293i	−0.122722	−	0.992441i	$-0.539163\pi$
$38$	1.18385	+	4.85654i	0.192046	+	0.787835i
$39$	−6.56216	+	1.49777i	−1.05079	+	0.239835i
$40$	−5.02573	−	9.35678i	−0.794638	−	1.47944i
$41$	−4.59645	−	1.04911i	−0.717845	−	0.163843i	−0.152030	−	0.988376i	$-0.548581\pi$
$41$	−4.59645	−	1.04911i	−0.717845	−	0.163843i	−0.565815	+	0.824532i	$0.691438\pi$
$42$	−1.27862	+	3.51641i	−0.197295	+	0.542594i
$43$	−1.11278	+	0.253985i	−0.169697	+	0.0387323i	−0.306525	−	0.951863i	$-0.599166\pi$
$43$	−1.11278	+	0.253985i	−0.169697	+	0.0387323i	0.136828	+	0.990595i	$0.456309\pi$
$44$	−2.26778	−	1.70188i	−0.341881	−	0.256568i
$45$	−2.93587	−	2.34128i	−0.437654	−	0.349017i
$46$	4.13509	−	8.91971i	0.609686	−	1.31514i
$47$	−3.04994	+	1.46877i	−0.444879	+	0.214243i	−0.642892	−	0.765957i	$-0.722266\pi$
$47$	−3.04994	+	1.46877i	−0.444879	+	0.214243i	0.198013	+	0.980199i	$0.436551\pi$
$48$	2.67344	+	2.97535i	0.385879	+	0.429454i
$49$	−5.23064	−	4.65192i	−0.747234	−	0.664561i
$50$	−2.67921	+	12.5887i	−0.378898	+	1.78031i
$51$	−1.40116	−	2.90954i	−0.196201	−	0.407416i
$52$	−10.7671	−	8.08028i	−1.49313	−	1.12053i
$53$	5.08062	−	6.37090i	0.697877	−	0.875110i	−0.298986	−	0.954258i	$-0.596648\pi$
$53$	5.08062	−	6.37090i	0.697877	−	0.875110i	0.996863	+	0.0791474i	$0.0252198\pi$
$54$	1.28305	+	0.594807i	0.174600	+	0.0809430i
$55$	1.18460	+	5.19007i	0.159731	+	0.699829i
$56$	−7.01969	+	2.59305i	−0.938046	+	0.346511i
$57$	−0.786534	+	3.44603i	−0.104179	+	0.456438i
$58$	−4.29972	+	5.55735i	−0.564581	+	0.729715i
$59$	1.42951	+	6.26308i	0.186106	+	0.815383i	0.978644	+	0.205561i	$0.0659020\pi$
$59$	1.42951	+	6.26308i	0.186106	+	0.815383i	−0.792538	+	0.609822i	$0.791241\pi$
$60$	−0.220788	−	7.50699i	−0.0285036	−	0.969148i
$61$	8.39662	−	6.69608i	1.07508	−	0.857345i	0.0847923	−	0.996399i	$-0.472977\pi$
$61$	8.39662	−	6.69608i	1.07508	−	0.857345i	0.990285	+	0.139053i	$0.0444059\pi$
$62$	−0.515171	−	2.11340i	−0.0654267	−	0.268402i
$63$	−1.92039	+	1.81992i	−0.241946	+	0.229289i
$64$	−1.08617	+	7.92592i	−0.135771	+	0.990740i
$65$	5.62431	+	24.6417i	0.697609	+	3.05643i
$66$	−0.896353	−	1.79337i	−0.110333	−	0.220748i
$67$			10.7256i			1.31034i	0.755480	+	0.655172i	$0.227404\pi$
$67$			10.7256i			1.31034i	−0.755480	+	0.655172i	$0.772596\pi$
$68$	2.63003	−	5.89894i	0.318939	−	0.715351i
$69$	5.43528	−	4.33449i	0.654331	−	0.521812i
$70$	13.2045	+	4.80136i	1.57824	+	0.573872i
$71$	−5.74181	−	4.57894i	−0.681427	−	0.543420i	0.220457	−	0.975397i	$-0.429245\pi$
$71$	−5.74181	−	4.57894i	−0.681427	−	0.543420i	−0.901885	+	0.431976i	$0.857816\pi$
$72$	0.750350	+	2.72708i	0.0884295	+	0.321390i
$73$	3.06354	−	6.36150i	0.358560	−	0.744557i	−0.641179	−	0.767391i	$-0.721555\pi$
$73$	3.06354	−	6.36150i	0.358560	−	0.744557i	0.999739	+	0.0228338i	$0.00726886\pi$
$74$	8.97449	−	11.5994i	1.04326	−	1.34841i
$75$	−5.67432	+	7.11538i	−0.655214	+	0.821613i
$76$	−6.27630	+	3.25317i	−0.719940	+	0.373165i
$77$	3.73717	−	0.319729i	0.425890	−	0.0364365i
$78$	−4.25575	−	8.51464i	−0.481869	−	0.964094i
$79$		−	4.18757i		−	0.471138i	−0.971858	−	0.235569i	$-0.924305\pi$
$79$		−	4.18757i		−	0.471138i	0.971858	−	0.235569i	$-0.0756954\pi$
$80$	11.1728	−	10.0391i	1.24915	−	1.12241i
$81$	0.623490	+	0.781831i	0.0692766	+	0.0868702i
$82$	−0.0980176	−	6.66681i	−0.0108242	−	0.736226i
$83$	6.05594	+	2.91639i	0.664726	+	0.320115i	0.735645	−	0.677367i	$-0.236879\pi$
$83$	6.05594	+	2.91639i	0.664726	+	0.320115i	−0.0709196	+	0.997482i	$0.522593\pi$
$84$	−5.25972	−	0.579056i	−0.573883	−	0.0631802i
$85$	−10.9256	+	5.26151i	−1.18505	+	0.570691i
$86$	−0.721670	−	1.44387i	−0.0778197	−	0.155697i
$87$	−4.47645	+	2.15574i	−0.479926	+	0.231120i
$88$	1.57881	−	3.68589i	0.168302	−	0.392918i
$89$	−1.93655	+	4.02129i	−0.205274	+	0.426256i	−0.978035	−	0.208441i	$-0.933161\pi$
$89$	−1.93655	+	4.02129i	−0.205274	+	0.426256i	0.772761	+	0.634697i	$0.218875\pi$
$90$	2.23357	−	4.81799i	0.235439	−	0.507860i
$91$	17.7435	−	1.51803i	1.86003	−	0.159133i
$92$	13.6405	+	2.69408i	1.42212	+	0.280878i
$93$	0.342273	−	1.49959i	0.0354920	−	0.155501i
$94$	−3.03957	−	3.69863i	−0.313508	−	0.381484i
$95$	12.9402	+	2.95353i	1.32764	+	0.303025i
$96$	−3.19266	+	4.66979i	−0.325850	+	0.476608i
$97$		−	8.69538i		−	0.882882i	−0.897290	−	0.441441i	$-0.854467\pi$
$97$		−	8.69538i		−	0.882882i	0.897290	−	0.441441i	$-0.145533\pi$
$98$	4.63977	−	8.74485i	0.468688	−	0.883364i
$99$		−	1.41768i		−	0.142482i
$100$	−18.1939	+	0.535102i	−1.81939	+	0.0535102i
$101$	1.49162	+	0.340454i	0.148422	+	0.0338764i	0.296086	−	0.955161i	$-0.404318\pi$
$101$	1.49162	+	0.340454i	0.148422	+	0.0338764i	−0.147664	+	0.989038i	$0.547176\pi$
$102$	3.52836	−	2.89965i	0.349360	−	0.287108i
$103$	4.29755	−	18.8288i	0.423450	−	1.85525i	−0.0882619	−	0.996097i	$-0.528131\pi$
$103$	4.29755	−	18.8288i	0.423450	−	1.85525i	0.511712	−	0.859157i	$-0.329012\pi$
$104$	7.49596	−	17.5001i	0.735040	−	1.71602i
$105$	6.83402	+	7.21128i	0.666932	+	0.703749i
$106$	10.4551	+	4.84689i	1.01549	+	0.470772i
$107$	−4.01597	+	8.33926i	−0.388239	+	0.806186i	0.611648	+	0.791130i	$0.290507\pi$
$107$	−4.01597	+	8.33926i	−0.388239	+	0.806186i	−0.999887	+	0.0150562i	$0.995207\pi$
$108$	−0.387527	+	1.96210i	−0.0372898	+	0.188803i
$109$	−8.95883	+	4.31434i	−0.858100	+	0.413239i	−0.810578	−	0.585631i	$-0.800847\pi$
$109$	−8.95883	+	4.31434i	−0.858100	+	0.413239i	−0.0475222	+	0.998870i	$0.515132\pi$
$110$	−6.73430	+	3.36591i	−0.642091	+	0.320927i
$111$	9.34337	−	4.49953i	0.886833	−	0.427076i
$112$	−5.91389	−	8.77644i	−0.558810	−	0.829296i
$113$	10.2644	+	4.94308i	0.965595	+	0.465006i	0.849127	−	0.528188i	$-0.177129\pi$
$113$	10.2644	+	4.94308i	0.965595	+	0.465006i	0.116468	+	0.993194i	$0.462843\pi$
$114$	−4.99821	+	0.0734853i	−0.468125	+	0.00688253i
$115$	−16.2765	−	20.4101i	−1.51779	−	1.90325i
$116$	−9.07578	−	4.04643i	−0.842665	−	0.375701i
$117$		−	6.73092i		−	0.622274i
$118$	−8.12657	+	4.06179i	−0.748112	+	0.373918i
$119$	2.60436	+	8.13743i	0.238741	+	0.745957i
$120$	10.2405	−	2.81765i	0.934827	−	0.257215i
$121$	5.60529	−	7.02882i	0.509572	−	0.638983i
$122$	12.0125	+	9.29410i	1.08756	+	0.841448i
$123$	2.04561	−	4.24776i	0.184447	−	0.383007i
$124$	2.73123	−	1.41567i	0.245272	−	0.127131i
$125$	12.0397	+	9.60136i	1.07687	+	0.858772i
$126$	−3.14373	−	2.02903i	−0.280065	−	0.180761i
$127$	−2.81406	+	2.24414i	−0.249707	+	0.199135i	−0.740342	−	0.672231i	$-0.765336\pi$
$127$	−2.81406	+	2.24414i	−0.249707	+	0.199135i	0.490635	+	0.871365i	$0.336765\pi$
$128$	−11.2539	+	1.16223i	−0.994710	+	0.102727i
$129$		−	1.14140i		−	0.100494i
$130$	−31.9735	+	15.9809i	−2.80426	+	1.40161i
$131$	−0.723339	−	3.16916i	−0.0631984	−	0.276890i	0.933449	−	0.358711i	$-0.116784\pi$
$131$	−0.723339	−	3.16916i	−0.0631984	−	0.276890i	−0.996647	+	0.0818207i	$0.973927\pi$
$132$	2.16384	−	1.83222i	0.188338	−	0.159474i
$133$	3.32460	−	8.74090i	0.288279	−	0.757932i
$134$	−14.7368	+	3.59230i	−1.27307	+	0.310327i
$135$	2.93587	−	2.34128i	0.252679	−	0.201505i
$136$	8.98590	+	1.63791i	0.770535	+	0.140449i
$137$	−3.58061	−	15.6877i	−0.305912	−	1.34029i	−0.861046	−	0.508527i	$-0.830190\pi$
$137$	−3.58061	−	15.6877i	−0.305912	−	1.34029i	0.555134	−	0.831761i	$-0.312667\pi$
$138$	7.77593	+	6.01624i	0.661931	+	0.512136i
$139$	3.58557	−	15.7094i	0.304124	−	1.33245i	−0.559715	−	0.828685i	$-0.689089\pi$
$139$	3.58557	−	15.7094i	0.304124	−	1.33245i	0.863839	−	0.503768i	$-0.168053\pi$
$140$	−2.17442	+	19.7509i	−0.183772	+	1.66925i
$141$	−0.753272	−	3.30030i	−0.0634370	−	0.277936i
$142$	4.36829	−	9.42275i	0.366579	−	0.790740i
$143$	−5.94951	+	7.46045i	−0.497523	+	0.623874i
$144$	−3.49565	+	1.94434i	−0.291304	+	0.162028i
$145$	8.09508	+	16.8096i	0.672259	+	1.39596i
$146$	9.76664	+	2.07860i	0.808293	+	0.172027i
$147$	5.69922	−	4.06435i	0.470064	−	0.335222i
$148$	18.9432	+	8.44581i	1.55712	+	0.694241i
$149$	0.140849	−	0.0678292i	0.0115388	−	0.00555678i	−0.428105	−	0.903729i	$-0.640819\pi$
$149$	0.140849	−	0.0678292i	0.0115388	−	0.00555678i	0.439644	+	0.898172i	$0.355105\pi$
$150$	−11.6769	−	5.41328i	−0.953413	−	0.441993i
$151$	11.8155	+	9.42258i	0.961535	+	0.766798i	0.972443	−	0.233142i	$-0.0749008\pi$
$151$	11.8155	+	9.42258i	0.961535	+	0.766798i	−0.0109080	+	0.999941i	$0.503472\pi$
$152$	−6.57190	−	7.53394i	−0.533051	−	0.611083i
$153$	3.14837	−	0.718596i	0.254531	−	0.0580950i
$154$	1.69098	+	5.02771i	0.136263	+	0.405145i
$155$	−5.63115	−	1.28527i	−0.452305	−	0.103236i
$156$	10.2736	−	8.69911i	0.822546	−	0.696486i
$157$	−4.58884	+	1.04737i	−0.366229	+	0.0835894i	−0.401675	−	0.915782i	$-0.631572\pi$
$157$	−4.58884	+	1.04737i	−0.366229	+	0.0835894i	0.0354462	+	0.999372i	$0.488715\pi$
$158$	5.75364	−	1.40253i	0.457735	−	0.111579i
$159$	5.08062	+	6.37090i	0.402919	+	0.505245i
$160$	17.5356	+	11.9888i	1.38631	+	0.947800i
$161$	−15.8311	+	9.36409i	−1.24767	+	0.737994i
$162$	−0.865398	+	1.11852i	−0.0679921	+	0.0878792i
$163$	12.1981	−	2.78414i	0.955428	−	0.218070i	0.283738	−	0.958902i	$-0.408426\pi$
$163$	12.1981	−	2.78414i	0.955428	−	0.218070i	0.671691	+	0.740832i	$0.265568\pi$
$164$	9.12724	−	2.36757i	0.712718	−	0.184876i
$165$	−5.32354			−0.414437
$166$	−1.97876	+	9.29752i	−0.153582	+	0.721627i
$167$	−2.95078	−	3.70016i	−0.228338	−	0.286327i	0.654443	−	0.756111i	$-0.272903\pi$
$167$	−2.95078	−	3.70016i	−0.228338	−	0.286327i	−0.882781	+	0.469784i	$0.844332\pi$
$168$	−0.966011	−	7.42070i	−0.0745294	−	0.572520i
$169$	−20.1420	+	25.2573i	−1.54939	+	1.94287i
$170$	−10.8885	−	13.2494i	−0.835111	−	1.01618i
$171$	−3.18461	−	1.53363i	−0.243533	−	0.117279i
$172$	1.74215	−	1.47515i	0.132837	−	0.112479i
$173$	10.1954	+	8.13055i	0.775141	+	0.618154i	0.929060	−	0.369929i	$-0.120618\pi$
$173$	10.1954	+	8.13055i	0.775141	+	0.618154i	−0.153919	+	0.988083i	$0.549189\pi$
$174$	−4.46124	−	5.42854i	−0.338205	−	0.411537i
$175$	17.4773	−	16.5629i	1.32116	−	1.25204i
$176$	5.59313	+	0.934752i	0.421598	+	0.0704596i
$177$	−6.42415			−0.482868
$178$	−6.17378	−	1.31395i	−0.462745	−	0.0984845i
$179$	−19.6126	+	15.6405i	−1.46591	+	1.16903i	−0.515971	+	0.856606i	$0.672569\pi$
$179$	−19.6126	+	15.6405i	−1.46591	+	1.16903i	−0.949943	+	0.312422i	$0.898860\pi$
$180$	7.36790	+	1.45521i	0.549171	+	0.108465i
$181$	−2.25530	+	4.68318i	−0.167635	+	0.348098i	−0.967815	−	0.251662i	$-0.919023\pi$
$181$	−2.25530	+	4.68318i	−0.167635	+	0.348098i	0.800180	+	0.599760i	$0.204737\pi$
$182$	8.02852	+	23.8708i	0.595114	+	1.76942i
$183$	4.65977	+	9.67612i	0.344460	+	0.715279i
$184$	0.866940	+	19.6441i	0.0639117	+	1.44818i
$185$	−16.8963	−	35.0854i	−1.24224	−	2.57953i
$186$	2.17505	−	0.0319783i	0.159482	−	0.00234476i
$187$	−4.12478	−	1.98639i	−0.301634	−	0.145259i
$188$	4.06381	−	5.41508i	0.296384	−	0.394936i
$189$	−1.34697	−	2.27721i	−0.0979774	−	0.165643i
$190$	0.275946	+	18.7689i	0.0200192	+	1.36164i
$191$	16.8377	+	3.84309i	1.21833	+	0.278076i	0.782901	−	0.622147i	$-0.213739\pi$
$191$	16.8377	+	3.84309i	1.21833	+	0.278076i	0.435430	+	0.900223i	$0.356596\pi$
$192$	−7.48551	−	2.82262i	−0.540220	−	0.203705i
$193$	3.26527	−	14.3061i	0.235039	−	1.02977i	−0.710355	−	0.703843i	$-0.751466\pi$
$193$	3.26527	−	14.3061i	0.235039	−	1.02977i	0.945394	−	0.325930i	$-0.105677\pi$
$194$	11.9473	−	2.91232i	0.857766	−	0.209092i
$195$	−25.2754			−1.81001
$196$	13.5693	+	3.44608i	0.969232	+	0.246148i
$197$	1.36992			0.0976026			0.0488013	−	0.998809i	$-0.484460\pi$
$197$	1.36992			0.0976026			0.0488013	+	0.998809i	$0.484460\pi$
$198$	1.94786	−	0.474818i	0.138428	−	0.0337438i
$199$	2.18437	−	9.57035i	0.154846	−	0.678424i	−0.836590	−	0.547830i	$-0.815454\pi$
$199$	2.18437	−	9.57035i	0.154846	−	0.678424i	0.991436	−	0.130595i	$-0.0416887\pi$
$200$	−6.82886	−	24.8189i	−0.482873	−	1.75496i
$201$	−10.4567	−	2.38668i	−0.737559	−	0.168343i
$202$	0.0318083	+	2.16349i	0.00223803	+	0.152223i
$203$	12.5198	−	4.00692i	0.878718	−	0.281231i
$204$	5.16580	+	3.87673i	0.361679	+	0.271426i
$205$	−15.9508	−	7.68152i	−1.11405	−	0.536500i
$206$	27.3097	−	0.401517i	1.90276	−	0.0279750i
$207$	3.01635	+	6.26352i	0.209651	+	0.435345i
$208$	26.5554	+	4.43806i	1.84128	+	0.307724i
$209$	2.17419	+	4.51475i	0.150392	+	0.312292i
$210$	−7.61926	+	11.8051i	−0.525779	+	0.814627i
$211$	1.51503	−	3.14598i	0.104299	−	0.216578i	−0.842288	−	0.539028i	$-0.818792\pi$
$211$	1.51503	−	3.14598i	0.104299	−	0.216578i	0.946587	+	0.322449i	$0.104506\pi$
$212$	−3.15784	+	15.9885i	−0.216881	+	1.09810i
$213$	5.74181	−	4.57894i	0.393422	−	0.313744i
$214$	−12.8030	−	2.72483i	−0.875198	−	0.186266i
$215$	−4.28608			−0.292308
$216$	−2.82568	+	0.124704i	−0.192263	+	0.00848503i
$217$	−1.44675	+	3.80374i	−0.0982120	+	0.258215i
$218$	−8.92838	−	10.8643i	−0.604706	−	0.735821i
$219$	5.52030	+	4.40229i	0.373027	+	0.297479i
$220$	−6.88020	−	8.12547i	−0.463863	−	0.547819i
$221$	−19.5839	−	9.43109i	−1.31735	−	0.634404i
$222$	9.31161	+	11.3306i	0.624954	+	0.760460i
$223$	−9.88787	+	12.3990i	−0.662141	+	0.830298i	−0.993574	−	0.113180i	$-0.963896\pi$
$223$	−9.88787	+	12.3990i	−0.662141	+	0.830298i	0.331434	+	0.943478i	$0.392468\pi$
$224$	10.0779	−	11.0650i	0.673361	−	0.739314i
$225$	−5.67432	−	7.11538i	−0.378288	−	0.474358i
$226$	−3.35387	+	15.7587i	−0.223096	+	1.04825i
$227$	−17.3089			−1.14883			−0.574415	−	0.818565i	$-0.694770\pi$
$227$	−17.3089			−1.14883			−0.574415	+	0.818565i	$0.694770\pi$
$228$	−1.77500	−	6.84283i	−0.117552	−	0.453178i
$229$	−4.91454	+	1.12171i	−0.324762	+	0.0741248i	−0.381794	−	0.924248i	$-0.624694\pi$
$229$	−4.91454	+	1.12171i	−0.324762	+	0.0741248i	0.0570317	+	0.998372i	$0.481836\pi$
$230$	22.5917	−	29.1995i	1.48965	−	1.92536i
$231$	−0.519885	+	3.71462i	−0.0342059	+	0.244404i
$232$	2.51999	−	13.8252i	0.165445	−	0.907669i
$233$	−8.91741	−	11.1821i	−0.584199	−	0.732562i	0.398624	−	0.917114i	$-0.369488\pi$
$233$	−8.91741	−	11.1821i	−0.584199	−	0.732562i	−0.982823	+	0.184552i	$0.940916\pi$
$234$	9.24816	−	2.25437i	0.604571	−	0.147373i
$235$	−12.3930	+	2.82863i	−0.808432	+	0.184519i
$236$	−8.30263	−	9.80535i	−0.540455	−	0.638274i
$237$	4.08258	+	0.931822i	0.265192	+	0.0605283i
$238$	−10.3084	+	6.30379i	−0.668195	+	0.408614i
$239$	−10.9648	+	2.50265i	−0.709256	+	0.161883i	−0.561906	−	0.827201i	$-0.689932\pi$
$239$	−10.9648	+	2.50265i	−0.709256	+	0.161883i	−0.147350	+	0.989084i	$0.547074\pi$
$240$	7.30122	+	13.1266i	0.471292	+	0.847316i
$241$	−0.859274	−	0.685248i	−0.0553507	−	0.0441407i	0.595424	−	0.803412i	$-0.296984\pi$
$241$	−0.859274	−	0.685248i	−0.0553507	−	0.0441407i	−0.650774	+	0.759271i	$0.725556\pi$
$242$	11.5348	+	5.34743i	0.741486	+	0.343746i
$243$	−0.900969	+	0.433884i	−0.0577972	+	0.0278337i
$244$	−8.74660	+	19.6179i	−0.559943	+	1.25590i
$245$	−15.2621	−	21.4012i	−0.975060	−	1.36727i
$246$	6.52147	+	1.38794i	0.415794	+	0.0884921i
$247$	10.3227	+	21.4354i	0.656819	+	1.36390i
$248$	2.85986	+	3.27851i	0.181602	+	0.208186i
$249$	−4.19084	+	5.25515i	−0.265584	+	0.333031i
$250$	−9.15966	+	19.7581i	−0.579308	+	1.24961i
$251$	−0.387241	−	1.69661i	−0.0244424	−	0.107089i	0.961235	−	0.275730i	$-0.0889195\pi$
$251$	−0.387241	−	1.69661i	−0.0244424	−	0.107089i	−0.985678	+	0.168640i	$0.946062\pi$
$252$	1.73494	−	4.99900i	0.109291	−	0.314907i
$253$	2.19309	−	9.60857i	0.137879	−	0.604085i
$254$	−4.02590	−	3.11484i	−0.252608	−	0.195442i
$255$	−2.69841	−	11.8225i	−0.168981	−	0.740355i
$256$	−5.36610	−	15.0733i	−0.335381	−	0.942083i
$257$	4.68793	−	3.73850i	0.292425	−	0.233201i	−0.466277	−	0.884639i	$-0.654405\pi$
$257$	4.68793	−	3.73850i	0.292425	−	0.233201i	0.758702	+	0.651437i	$0.225834\pi$
$258$	1.56826	−	0.382285i	0.0976355	−	0.0238000i
$259$	−26.1317	+	8.36336i	−1.62374	+	0.519674i
$260$	−32.6662	−	38.5786i	−2.02587	−	2.39254i
$261$	−1.10559	−	4.84391i	−0.0684344	−	0.299831i
$262$	4.11209	−	2.05529i	0.254046	−	0.126976i
$263$		−	13.9615i		−	0.860901i	−0.902614	−	0.430451i	$-0.858355\pi$
$263$		−	13.9615i		−	0.860901i	0.902614	−	0.430451i	$-0.141645\pi$
$264$	3.24216	+	2.35942i	0.199541	+	0.145212i
$265$	23.9235	−	19.0783i	1.46961	−	1.17197i
$266$	13.1233	+	1.64038i	0.804643	+	0.100578i
$267$	−3.48955	−	2.78282i	−0.213557	−	0.170306i
$268$	−9.87150	−	19.0449i	−0.602998	−	1.16335i
$269$	1.37349	−	2.85208i	0.0837432	−	0.173895i	−0.854892	−	0.518806i	$-0.826377\pi$
$269$	1.37349	−	2.85208i	0.0837432	−	0.173895i	0.938635	+	0.344911i	$0.112091\pi$
$270$	4.20017	+	3.24967i	0.255614	+	0.197769i
$271$	7.77652	−	9.75145i	0.472390	−	0.592358i	−0.487364	−	0.873199i	$-0.662042\pi$
$271$	7.77652	−	9.75145i	0.472390	−	0.592358i	0.959755	+	0.280840i	$0.0906131\pi$
$272$	0.759168	+	12.8950i	0.0460314	+	0.781876i
$273$	−2.46834	+	17.6365i	−0.149391	+	1.06741i
$274$	20.3553	−	10.1739i	1.22971	−	0.614628i
$275$			12.9021i			0.778029i
$276$	−5.66183	+	12.6990i	−0.340802	+	0.764389i
$277$	2.55771	+	3.20726i	0.153678	+	0.192706i	0.852710	−	0.522384i	$-0.174957\pi$
$277$	2.55771	+	3.20726i	0.153678	+	0.192706i	−0.699033	+	0.715090i	$0.746386\pi$
$278$	22.7853	−	0.334997i	1.36657	−	0.0200918i
$279$	1.38583	+	0.667382i	0.0829677	+	0.0399551i
$280$	−27.8656	+	3.62748i	−1.66529	+	0.216784i
$281$	−21.9608	+	10.5758i	−1.31007	+	0.630898i	−0.952941	−	0.303156i	$-0.901960\pi$
$281$	−21.9608	+	10.5758i	−1.31007	+	0.630898i	−0.357132	+	0.934054i	$0.616245\pi$
$282$	4.28226	−	2.14034i	0.255005	−	0.127456i
$283$	22.4677	−	10.8199i	1.33557	−	0.643174i	0.376515	−	0.926410i	$-0.377122\pi$
$283$	22.4677	−	10.8199i	1.33557	−	0.643174i	0.959050	+	0.283236i	$0.0914080\pi$
$284$	14.4097	+	2.84602i	0.855061	+	0.168880i
$285$	−5.75895	+	11.9586i	−0.341131	+	0.708365i
$286$	−12.2432	−	5.67581i	−0.723953	−	0.335618i
$287$	−6.91766	+	10.3799i	−0.408337	+	0.612705i
$288$	−3.84227	−	4.15174i	−0.226408	−	0.244644i
$289$	−1.46226	+	6.40660i	−0.0860156	+	0.376859i
$290$	−20.3848	+	16.7525i	−1.19704	+	0.983739i
$291$	8.47737	+	1.93490i	0.496952	+	0.113426i
$292$	0.415147	+	14.1154i	0.0242946	+	0.826039i
$293$			5.03450i			0.294119i	0.989128	+	0.147059i	$0.0469808\pi$
$293$			5.03450i			0.294119i	−0.989128	+	0.147059i	$0.953019\pi$
$294$	7.49316	+	6.46936i	0.437010	+	0.377301i
$295$			24.1234i			1.40452i
$296$	−5.25979	+	28.8563i	−0.305719	+	1.67724i
$297$	1.38213	+	0.315463i	0.0801995	+	0.0183050i
$298$	0.140370	+	0.170806i	0.00813142	+	0.00989451i
$299$	10.4125	−	45.6201i	0.602169	−	2.63828i
$300$	3.52685	−	17.8569i	0.203623	−	1.03097i
$301$	−0.418569	+	2.99070i	−0.0241259	+	0.172381i
$302$	−8.98910	+	19.3902i	−0.517265	+	1.11578i
$303$	−0.663835	+	1.37847i	−0.0381363	+	0.0791909i
$304$	8.15038	−	11.5530i	0.467456	−	0.662609i
$305$	36.3350	−	17.4980i	2.08053	−	1.00193i
$306$	2.04181	+	4.08513i	0.116723	+	0.233531i
$307$	−26.4379	+	12.7318i	−1.50889	+	0.726644i	−0.991621	−	0.129178i	$-0.958766\pi$
$307$	−26.4379	+	12.7318i	−1.50889	+	0.726644i	−0.517271	+	0.855822i	$0.673052\pi$
$308$	−6.34163	+	4.00729i	−0.361348	+	0.228337i
$309$	17.4004	+	8.37959i	0.989875	+	0.476698i
$310$	−0.120082	−	8.16757i	−0.00682021	−	0.463887i
$311$	8.69888	+	10.9080i	0.493268	+	0.618538i	0.964696	−	0.263366i	$-0.0848327\pi$
$311$	8.69888	+	10.9080i	0.493268	+	0.618538i	−0.471428	+	0.881905i	$0.656261\pi$
$312$	15.3933	+	11.2022i	0.871475	+	0.634197i
$313$		−	29.1224i		−	1.64609i	−0.567973	−	0.823047i	$-0.692272\pi$
$313$		−	29.1224i		−	1.64609i	0.567973	−	0.823047i	$-0.307728\pi$
$314$	−2.97599	−	5.95418i	−0.167945	−	0.336014i
$315$	−8.55119	+	5.05802i	−0.481805	+	0.284987i
$316$	3.85410	+	7.43565i	0.216810	+	0.418288i
$317$	−2.98173	+	3.73897i	−0.167471	+	0.210001i	−0.858484	−	0.512841i	$-0.828593\pi$
$317$	−2.98173	+	3.73897i	−0.167471	+	0.210001i	0.691013	+	0.722842i	$0.257165\pi$
$318$	−7.05186	+	9.11446i	−0.395448	+	0.511114i
$319$	−3.05615	+	6.34616i	−0.171112	+	0.355317i
$320$	−10.5993	+	28.1090i	−0.592517	+	1.57134i
$321$	−7.23654	−	5.77095i	−0.403904	−	0.322103i
$322$	−18.1684	−	18.6154i	−1.01248	−	1.03739i
$323$	−8.92429	+	7.11688i	−0.496561	+	0.395994i
$324$	−1.82667	−	0.814419i	−0.101482	−	0.0452455i
$325$			61.2575i			3.39795i
$326$	7.91082	+	15.8275i	0.438140	+	0.876602i
$327$	−2.21265	−	9.69424i	−0.122360	−	0.536093i
$328$	6.30995	+	11.7477i	0.348409	+	0.648658i
$329$	0.763460	+	8.92373i	0.0420909	+	0.491981i
$330$	−1.78300	−	7.31445i	−0.0981508	−	0.402647i
$331$	6.31473	−	5.03583i	0.347089	−	0.276794i	−0.434391	−	0.900724i	$-0.643036\pi$
$331$	6.31473	−	5.03583i	0.347089	−	0.276794i	0.781480	+	0.623930i	$0.214465\pi$
$332$	−13.4374	+	0.395206i	−0.737471	+	0.0216898i
$333$	2.30762	+	10.1103i	0.126457	+	0.554044i
$334$	4.09566	−	5.29360i	0.224105	−	0.289653i
$335$	−8.96225	+	39.2662i	−0.489660	+	2.14534i
$336$	9.87236	−	3.81267i	0.538581	−	0.207998i
$337$	−3.47941	−	15.2443i	−0.189536	−	0.830410i	−0.976861	−	0.213873i	$-0.931392\pi$
$337$	−3.47941	−	15.2443i	−0.189536	−	0.830410i	0.787326	−	0.616537i	$-0.211465\pi$
$338$	−41.4492	−	19.2154i	−2.25454	−	1.04518i
$339$	−7.10320	+	8.90713i	−0.385793	+	0.483769i
$340$	14.5576	−	19.3982i	0.789496	−	1.05201i
$341$	−0.946132	−	1.96466i	−0.0512359	−	0.106392i
$342$	1.04056	−	4.88925i	0.0562672	−	0.264380i
$343$	−16.4236	+	8.55946i	−0.886793	+	0.462167i
$344$	2.61032	+	1.89961i	0.140739	+	0.102420i
$345$	23.5203	−	11.3268i	1.26629	−	0.609812i
$346$	−7.75651	+	16.7314i	−0.416993	+	0.899486i
$347$	−2.52638	−	2.01472i	−0.135623	−	0.108156i	0.553329	−	0.832963i	$-0.313357\pi$
$347$	−2.52638	−	2.01472i	−0.135623	−	0.108156i	−0.688952	+	0.724807i	$0.741929\pi$
$348$	5.96453	−	7.94782i	0.319732	−	0.426048i
$349$	5.14131	−	1.17347i	0.275208	−	0.0628145i	−0.0826892	−	0.996575i	$-0.526351\pi$
$349$	5.14131	−	1.17347i	0.275208	−	0.0628145i	0.357897	+	0.933761i	$0.383494\pi$
$350$	28.6108	+	18.4661i	1.52931	+	0.987052i
$351$	6.56216	+	1.49777i	0.350262	+	0.0799451i
$352$	0.588960	+	7.99794i	0.0313917	+	0.426291i
$353$	−16.1141	+	3.67793i	−0.857665	+	0.195756i	−0.628671	−	0.777671i	$-0.716401\pi$
$353$	−16.1141	+	3.67793i	−0.857665	+	0.195756i	−0.228994	+	0.973428i	$0.573544\pi$
$354$	−2.15162	−	8.82666i	−0.114357	−	0.469131i
$355$	−17.1945	−	21.5612i	−0.912587	−	1.14435i
$356$	−0.262427	−	8.92274i	−0.0139086	−	0.472904i
$357$	−8.51293	+	0.728315i	−0.450552	+	0.0385465i
$358$	−28.0586	−	21.7089i	−1.48294	−	1.14735i
$359$	−0.155928	+	0.0355895i	−0.00822956	+	0.00187834i	−0.226634	−	0.973980i	$-0.572772\pi$
$359$	−0.155928	+	0.0355895i	−0.00822956	+	0.00187834i	0.218404	+	0.975858i	$0.429915\pi$
$360$	0.468278	+	10.6107i	0.0246804	+	0.559236i
$361$	−6.50625			−0.342434
$362$	−7.18996	−	1.53022i	−0.377896	−	0.0804264i
$363$	5.60529	+	7.02882i	0.294202	+	0.368917i
$364$	−30.1091	+	19.0260i	−1.57815	+	0.997235i
$365$	16.5311	−	20.7294i	0.865279	−	1.08503i
$366$	−11.7341	+	9.64323i	−0.613352	+	0.504060i
$367$	4.17056	+	2.00844i	0.217701	+	0.104839i	0.539556	−	0.841950i	$-0.318592\pi$
$367$	4.17056	+	2.00844i	0.217701	+	0.104839i	−0.321855	+	0.946789i	$0.604306\pi$
$368$	−26.7002	+	7.77048i	−1.39184	+	0.405064i
$369$	3.68607	+	2.93954i	0.191889	+	0.153026i
$370$	42.5477	−	34.9662i	2.21195	−	1.81781i
$371$	−10.9760	−	18.5563i	−0.569846	−	0.963393i
$372$	0.772420	+	2.97777i	0.0400481	+	0.154390i
$373$	−28.7493			−1.48858			−0.744292	−	0.667854i	$-0.767213\pi$
$373$	−28.7493			−1.48858			−0.744292	+	0.667854i	$0.767213\pi$
$374$	1.34776	−	6.33267i	0.0696911	−	0.327454i
$375$	−12.0397	+	9.60136i	−0.621729	+	0.495812i
$376$	8.80130	+	3.76994i	0.453892	+	0.194420i
$377$	−14.5101	+	30.1306i	−0.747311	+	1.55181i
$378$	2.67771	−	2.61340i	0.137726	−	0.134419i
$379$	−2.75821	−	5.72749i	−0.141680	−	0.294201i	0.818039	−	0.575162i	$-0.195061\pi$
$379$	−2.75821	−	5.72749i	−0.141680	−	0.294201i	−0.959719	+	0.280961i	$0.909347\pi$
$380$	−25.6956	+	6.66534i	−1.31816	+	0.341925i
$381$	−1.56168	−	3.24287i	−0.0800075	−	0.166137i
$382$	0.359057	+	24.4218i	0.0183709	+	1.24953i
$383$	−31.1234	−	14.9883i	−1.59033	−	0.765864i	−0.591161	−	0.806553i	$-0.701330\pi$
$383$	−31.1234	−	14.9883i	−1.59033	−	0.765864i	−0.999172	+	0.0406894i	$0.987045\pi$
$384$	1.37113	−	11.2303i	0.0699702	−	0.573095i
$385$	13.9488	+	1.95223i	0.710898	+	0.0994948i
$386$	20.7499	−	0.305072i	1.05614	−	0.0155277i
$387$	1.11278	+	0.253985i	0.0565658	+	0.0129108i
$388$	8.00294	+	15.4399i	0.406288	+	0.783844i
$389$	1.10567	−	4.84424i	0.0560595	−	0.245613i	−0.939133	−	0.343555i	$-0.888369\pi$
$389$	1.10567	−	4.84424i	0.0560595	−	0.245613i	0.995192	+	0.0979421i	$0.0312260\pi$
$390$	−8.46541	−	34.7279i	−0.428663	−	1.75852i
$391$	22.4503			1.13536
$392$	−0.190137	+	19.7981i	−0.00960339	+	0.999954i
$393$	3.25066			0.163974
$394$	0.458822	+	1.88224i	0.0231151	+	0.0948259i
$395$	3.49910	−	15.3306i	0.176059	−	0.771364i
$396$	1.30478	+	2.51729i	0.0655678	+	0.126499i
$397$	−7.51615	−	1.71551i	−0.377225	−	0.0860991i	0.0297046	−	0.999559i	$-0.490543\pi$
$397$	−7.51615	−	1.71551i	−0.377225	−	0.0860991i	−0.406929	+	0.913460i	$0.633400\pi$
$398$	13.8811	−	0.204084i	0.695796	−	0.0102298i
$399$	7.78195	+	5.18628i	0.389585	+	0.259639i
$400$	31.8136	−	17.6953i	1.59068	−	0.884763i
$401$	23.9564	+	11.5368i	1.19633	+	0.576121i	0.922627	−	0.385695i	$-0.126038\pi$
$401$	23.9564	+	11.5368i	1.19633	+	0.576121i	0.273700	+	0.961815i	$0.411752\pi$
$402$	−0.222985	−	15.1667i	−0.0111215	−	0.756445i
$403$	−4.49210	−	9.32793i	−0.223767	−	0.464657i
$404$	−2.96194	+	0.768315i	−0.147362	+	0.0382251i
$405$	1.62928	+	3.38324i	0.0809598	+	0.168115i
$406$	9.69866	+	15.8599i	0.481336	+	0.787116i
$407$	6.37888	−	13.2459i	0.316189	−	0.656574i
$408$	−3.59639	+	8.39614i	−0.178048	+	0.415671i
$409$	17.4388	−	13.9070i	0.862292	−	0.687655i	−0.0889716	−	0.996034i	$-0.528358\pi$
$409$	17.4388	−	13.9070i	0.862292	−	0.687655i	0.951263	+	0.308379i	$0.0997866\pi$
$410$	5.21190	−	24.4889i	0.257397	−	1.20942i
$411$	16.0911			0.793715
$412$	9.69844	+	37.3886i	0.477808	+	1.84200i
$413$	16.8326	+	2.35584i	0.828280	+	0.115923i
$414$	−7.59570	+	6.24223i	−0.373308	+	0.306789i
$415$	19.7337	+	15.7371i	0.968689	+	0.772504i
$416$	2.79629	+	37.9730i	0.137100	+	1.86178i
$417$	14.5177	+	6.99134i	0.710933	+	0.342367i
$418$	−5.47498	+	4.49940i	−0.267790	+	0.220073i
$419$	−15.6433	+	19.6161i	−0.764226	+	0.958309i	−0.999909	−	0.0135213i	$-0.995696\pi$
$419$	−15.6433	+	19.6161i	−0.764226	+	0.958309i	0.235683	+	0.971830i	$0.424267\pi$
$420$	−18.7718	−	6.51489i	−0.915972	−	0.317894i
$421$	11.2481	+	14.1046i	0.548198	+	0.687418i	0.976327	−	0.216299i	$-0.0693986\pi$
$421$	11.2481	+	14.1046i	0.548198	+	0.687418i	−0.428129	+	0.903717i	$0.640827\pi$
$422$	4.82995	+	1.02794i	0.235118	+	0.0500395i
$423$	3.38518			0.164593
$424$	−23.0255	+	1.01617i	−1.11822	+	0.0493497i
$425$	−28.6531	+	6.53988i	−1.38988	+	0.317231i
$426$	8.21446	+	6.35553i	0.397992	+	0.307926i
$427$	−8.66121	−	27.0623i	−0.419145	−	1.30964i
$428$	−0.544214	−	18.5038i	−0.0263056	−	0.894413i
$429$	−5.94951	−	7.46045i	−0.287245	−	0.360194i
$430$	−1.43552	−	5.88899i	−0.0692271	−	0.283992i
$431$	30.4210	−	6.94340i	1.46533	−	0.334452i	0.585862	−	0.810411i	$-0.300756\pi$
$431$	30.4210	−	6.94340i	1.46533	−	0.334452i	0.879467	+	0.475959i	$0.157899\pi$
$432$	−1.11774	−	3.84066i	−0.0537771	−	0.184784i
$433$	−21.1617	−	4.83002i	−1.01697	−	0.232116i	−0.318625	−	0.947881i	$-0.603221\pi$
$433$	−21.1617	−	4.83002i	−1.01697	−	0.232116i	−0.698342	+	0.715765i	$0.746078\pi$
$434$	−5.71082	−	0.713836i	−0.274128	−	0.0342652i
$435$	−18.1895	+	4.15163i	−0.872118	+	0.199055i
$436$	11.9369	−	15.9062i	0.571676	−	0.761767i
$437$	−19.2118	−	15.3209i	−0.919026	−	0.732899i
$438$	−4.19977	+	9.05924i	−0.200673	+	0.432867i
$439$	−5.95980	+	2.87009i	−0.284446	+	0.136982i	−0.570667	−	0.821182i	$-0.693315\pi$
$439$	−5.95980	+	2.87009i	−0.284446	+	0.136982i	0.286221	+	0.958164i	$0.407601\pi$
$440$	8.85988	−	12.1747i	0.422378	−	0.580406i
$441$	2.69425	+	6.46073i	0.128298	+	0.307654i
$442$	6.39898	−	30.0666i	0.304368	−	1.43012i
$443$	11.9816	+	24.8801i	0.569263	+	1.18209i	0.964641	+	0.263568i	$0.0848995\pi$
$443$	11.9816	+	24.8801i	0.569263	+	1.18209i	−0.395378	+	0.918519i	$0.629386\pi$
$444$	−12.4493	+	16.5889i	−0.590818	+	0.787274i
$445$	−10.4498	+	13.1037i	−0.495369	+	0.621173i
$446$	−20.3477	−	9.43299i	−0.963491	−	0.446665i
$447$	0.0347868	+	0.152411i	0.00164536	+	0.00720878i
$448$	18.5785	+	10.1409i	0.877753	+	0.479114i
$449$	−0.290611	+	1.27325i	−0.0137148	+	0.0600885i	−0.981322	−	0.192371i	$-0.938382\pi$
$449$	−0.290611	+	1.27325i	−0.0137148	+	0.0600885i	0.967607	+	0.252459i	$0.0812394\pi$
$450$	7.87591	−	10.1795i	0.371274	−	0.479868i
$451$	−1.48730	−	6.51628i	−0.0700341	−	0.306840i
$452$	−22.7754	+	0.669848i	−1.07127	+	0.0315070i
$453$	−11.8155	+	9.42258i	−0.555142	+	0.442711i
$454$	−5.79720	−	23.7820i	−0.272076	−	1.11615i
$455$	66.2269	+	9.26890i	3.10477	+	0.434533i
$456$	8.80743	−	4.73067i	0.412446	−	0.221534i
$457$	0.119706	+	0.524465i	0.00559960	+	0.0245334i	0.977651	−	0.210237i	$-0.0674234\pi$
$457$	0.119706	+	0.524465i	0.00559960	+	0.0245334i	−0.972051	+	0.234770i	$0.924566\pi$
$458$	−3.18722	−	6.37679i	−0.148929	−	0.297968i
$459$			3.22934i			0.150733i
$460$	47.6862	+	21.2608i	2.22338	+	0.991291i
$461$	21.6883	−	17.2959i	1.01013	−	0.805549i	0.0291303	−	0.999576i	$-0.490726\pi$
$461$	21.6883	−	17.2959i	1.01013	−	0.805549i	0.980996	+	0.194027i	$0.0621548\pi$
$462$	−5.27794	+	0.529812i	−0.245552	+	0.0246491i
$463$	27.5419	+	21.9639i	1.27998	+	1.02075i	0.998120	+	0.0612934i	$0.0195225\pi$
$463$	27.5419	+	21.9639i	1.27998	+	1.02075i	0.281859	+	0.959456i	$0.409049\pi$
$464$	19.8396	−	1.16801i	0.921030	−	0.0542237i
$465$	2.50610	−	5.20397i	0.116218	−	0.241328i
$466$	12.3773	−	15.9975i	0.573366	−	0.741071i
$467$	−4.47839	+	5.61572i	−0.207235	+	0.259865i	−0.874577	−	0.484887i	$-0.838861\pi$
$467$	−4.47839	+	5.61572i	−0.207235	+	0.259865i	0.667342	+	0.744752i	$0.267432\pi$
$468$	6.19491	+	11.9517i	0.286360	+	0.552470i
$469$	26.5236	+	10.0882i	1.22474	+	0.465832i
$470$	−8.03724	−	16.0804i	−0.370730	−	0.741733i
$471$		−	4.70685i		−	0.216880i
$472$	10.6916	−	14.6917i	0.492121	−	0.676242i
$473$	−1.00889	−	1.26511i	−0.0463888	−	0.0581697i
$474$	0.0870595	+	5.92148i	0.00399877	+	0.271982i
$475$	28.9828	+	13.9574i	1.32982	+	0.640409i
$476$	−12.1138	−	12.0522i	−0.555237	−	0.552414i
$477$	−7.34171	+	3.53558i	−0.336154	+	0.161883i
$478$	−7.11101	−	14.2273i	−0.325250	−	0.650740i
$479$	4.69725	−	2.26208i	0.214623	−	0.103357i	−0.323484	−	0.946234i	$-0.604854\pi$
$479$	4.69725	−	2.26208i	0.214623	−	0.103357i	0.538107	+	0.842877i	$0.319140\pi$
$480$	−15.5903	+	14.4282i	−0.711595	+	0.658553i
$481$	30.2860	−	62.8895i	1.38092	−	2.86751i
$482$	0.653724	−	1.41013i	0.0297763	−	0.0642299i
$483$	−5.60656	−	17.5179i	−0.255107	−	0.797093i
$484$	−3.48394	+	17.6396i	−0.158361	+	0.801801i
$485$	7.26580	−	31.8335i	0.329923	−	1.44549i
$486$	−0.897907	−	1.09259i	−0.0407299	−	0.0495611i
$487$	18.8245	+	4.29656i	0.853018	+	0.194696i	0.626607	−	0.779336i	$-0.284443\pi$
$487$	18.8245	+	4.29656i	0.853018	+	0.194696i	0.226412	+	0.974032i	$0.427300\pi$
$488$	−29.8840	−	5.44711i	−1.35279	−	0.246579i
$489$			12.5118i			0.565803i
$490$	24.2932	−	28.1377i	1.09746	−	1.27113i
$491$			10.2043i			0.460515i	0.973130	+	0.230258i	$0.0739569\pi$
$491$			10.2043i			0.460515i	−0.973130	+	0.230258i	$0.926043\pi$
$492$	0.277206	+	9.42524i	0.0124974	+	0.424922i
$493$	−15.6427	−	3.57033i	−0.704510	−	0.160800i
$494$	−25.9944	+	21.3625i	−1.16954	+	0.961145i
$495$	1.18460	−	5.19007i	0.0532438	−	0.233276i
$496$	−3.54677	+	5.02746i	−0.159254	+	0.225740i
$497$	−16.7239	+	9.89219i	−0.750171	+	0.443725i
$498$	−8.62410	−	3.99804i	−0.386455	−	0.179157i
$499$	−2.27215	+	4.71817i	−0.101715	+	0.211214i	−0.945616	−	0.325286i	$-0.894540\pi$
$499$	−2.27215	+	4.71817i	−0.101715	+	0.211214i	0.843900	+	0.536500i	$0.180254\pi$
$500$	−30.2151	−	5.96768i	−1.35126	−	0.266883i
$501$	4.26401	−	2.05344i	0.190502	−	0.0917408i
$502$	2.20142	−	1.10030i	0.0982540	−	0.0491089i
$503$	−29.8848	+	14.3918i	−1.33250	+	0.641697i	−0.958330	−	0.285665i	$-0.907786\pi$
$503$	−29.8848	+	14.3918i	−1.33250	+	0.641697i	−0.374167	+	0.927361i	$0.622071\pi$
$504$	7.44961	+	0.709471i	0.331832	+	0.0316023i
$505$	5.17631	+	2.49278i	0.230343	+	0.110927i
$506$	13.9365	−	0.204899i	0.619554	−	0.00910888i
$507$	−20.1420	−	25.2573i	−0.894539	−	1.12172i
$508$	2.93135	−	6.57476i	0.130058	−	0.291708i
$509$			6.03886i			0.267668i	0.991004	+	0.133834i	$0.0427289\pi$
$509$			6.03886i			0.267668i	−0.991004	+	0.133834i	$0.957271\pi$
$510$	15.3401	−	7.66725i	0.679273	−	0.339511i
$511$	−12.8500	−	13.5593i	−0.568450	−	0.599830i
$512$	18.9132	−	12.4214i	0.835854	−	0.548952i
$513$	2.20382	−	2.76350i	0.0973010	−	0.122012i
$514$	6.70674	+	5.18900i	0.295822	+	0.228877i
$515$	31.4664	−	65.3406i	1.38657	−	2.87925i
$516$	1.05050	+	2.02672i	0.0462458	+	0.0892214i
$517$	−3.75208	−	2.99218i	−0.165016	−	0.131596i
$518$	−20.2433	−	33.1033i	−0.889439	−	1.45448i
$519$	−10.1954	+	8.13055i	−0.447528	+	0.356892i
$520$	42.0654	−	57.8037i	1.84469	−	2.53486i
$521$			43.9841i			1.92698i	0.267748	+	0.963489i	$0.413721\pi$
$521$			43.9841i			1.92698i	−0.267748	+	0.963489i	$0.586279\pi$
$522$	6.28515	−	3.14142i	0.275094	−	0.137496i
$523$	0.685742	+	3.00443i	0.0299854	+	0.131375i	0.987705	−	0.156328i	$-0.0499657\pi$
$523$	0.685742	+	3.00443i	0.0299854	+	0.131375i	−0.957720	+	0.287703i	$0.907109\pi$
$524$	4.20118	+	4.96157i	0.183529	+	0.216747i
$525$	12.2586	+	20.7247i	0.535010	+	0.904499i
$526$	19.1828	−	4.67607i	0.836410	−	0.203886i
$527$	3.88354	−	3.09702i	0.169170	−	0.134908i
$528$	−2.15591	+	5.24490i	−0.0938237	+	0.228255i
$529$	5.63648	+	24.6950i	0.245064	+	1.07370i
$530$	34.2259	+	26.4806i	1.48668	+	1.15024i
$531$	1.42951	−	6.26308i	0.0620353	−	0.271794i
$532$	2.14151	+	18.5806i	0.0928461	+	0.805572i
$533$	−7.06147	−	30.9383i	−0.305866	−	1.34009i
$534$	2.65480	−	5.72661i	0.114884	−	0.247815i
$535$	−21.6706	+	27.1740i	−0.936901	+	1.17484i
$536$	22.8611	−	19.9419i	0.987451	−	0.861359i
$537$	−10.8842	−	22.6012i	−0.469687	−	0.975315i
$538$	4.37873	+	0.931911i	0.188780	+	0.0401775i
$539$	2.72442	−	9.54244i	0.117349	−	0.411022i
$540$	−3.05824	+	6.85936i	−0.131606	+	0.295180i
$541$	−29.0782	+	14.0033i	−1.25017	+	0.602049i	−0.937557	−	0.347832i	$-0.886918\pi$
$541$	−29.0782	+	14.0033i	−1.25017	+	0.602049i	−0.312611	+	0.949881i	$0.601204\pi$
$542$	16.0029	+	7.41877i	0.687382	+	0.318664i
$543$	−4.06391	−	3.24086i	−0.174399	−	0.139079i
$544$	−17.4633	+	5.36198i	−0.748731	+	0.229893i
$545$	−36.4030	+	8.30875i	−1.55933	+	0.355908i
$546$	−25.0589	+	2.51547i	−1.07242	+	0.107652i
$547$	−34.5333	−	7.88200i	−1.47654	−	0.337010i	−0.592935	−	0.805250i	$-0.702031\pi$
$547$	−34.5333	−	7.88200i	−1.47654	−	0.337010i	−0.883601	+	0.468240i	$0.844888\pi$
$548$	20.7963	+	24.5603i	0.888374	+	1.04916i
$549$	−10.4704	+	2.38980i	−0.446866	+	0.101994i
$550$	−17.7273	+	4.32127i	−0.755895	+	0.184260i
$551$	10.9496	+	13.7304i	0.466470	+	0.584935i
$552$	−19.3445	−	3.52601i	−0.823355	−	0.150077i
$553$	−10.3555	−	3.93872i	−0.440361	−	0.167491i
$554$	−3.55007	+	4.58844i	−0.150828	+	0.194944i
$555$	37.9655	−	8.66539i	1.61155	−	0.367825i
$556$	8.09169	+	31.1944i	0.343164	+	1.32294i
$557$	−17.6714			−0.748760			−0.374380	−	0.927275i	$-0.622144\pi$
$557$	−17.6714			−0.748760			−0.374380	+	0.927275i	$0.622144\pi$
$558$	−0.452818	+	2.12763i	−0.0191693	+	0.0900699i
$559$	−4.79006	−	6.00654i	−0.202598	−	0.254050i
$560$	−14.3170	−	37.0719i	−0.605005	−	1.56657i
$561$	2.85444	−	3.57935i	0.120514	−	0.151120i
$562$	−21.8862	−	26.6316i	−0.923213	−	1.12339i
$563$	−34.6850	−	16.7034i	−1.46180	−	0.703964i	−0.477198	−	0.878796i	$-0.658348\pi$
$563$	−34.6850	−	16.7034i	−1.46180	−	0.703964i	−0.984598	+	0.174831i	$0.944062\pi$
$564$	4.37503	+	5.16689i	0.184222	+	0.217565i
$565$	33.4473	+	26.6733i	1.40714	+	1.12216i
$566$	22.3913	+	27.2463i	0.941178	+	1.14525i
$567$	2.51984	−	0.806468i	0.105823	−	0.0338685i
$568$	0.915832	+	20.7519i	0.0384275	+	0.870731i
$569$	29.3971			1.23239			0.616195	−	0.787594i	$-0.288673\pi$
$569$	29.3971			1.23239			0.616195	+	0.787594i	$0.288673\pi$
$570$	−18.3597	−	3.90744i	−0.769003	−	0.163665i
$571$	1.50015	−	1.19633i	0.0627792	−	0.0500647i	−0.591597	−	0.806233i	$-0.701503\pi$
$571$	1.50015	−	1.19633i	0.0627792	−	0.0500647i	0.654377	+	0.756169i	$0.272931\pi$
$572$	3.69789	−	18.7229i	0.154616	−	0.782842i
$573$	−7.49346	+	15.5603i	−0.313044	+	0.650042i
$574$	−16.5787	−	6.02824i	−0.691980	−	0.251614i
$575$	−27.4516	−	57.0037i	−1.14481	−	2.37722i
$576$	4.41753	−	6.66974i	0.184064	−	0.277906i
$577$	11.6520	+	24.1956i	0.485079	+	1.00728i	0.989596	+	0.143875i	$0.0459564\pi$
$577$	11.6520	+	24.1956i	0.485079	+	1.00728i	−0.504517	+	0.863402i	$0.668329\pi$
$578$	−9.29230	+	0.136618i	−0.386509	+	0.00568258i
$579$	13.2208	+	6.36680i	0.549437	+	0.264595i
$580$	−29.8450	−	22.3975i	−1.23925	−	0.930005i
$581$	12.9080	−	12.2328i	0.535516	−	0.507500i
$582$	0.180777	+	12.2958i	0.00749344	+	0.509677i
$583$	11.2626	+	2.57061i	0.466448	+	0.106464i
$584$	−19.2552	+	5.29802i	−0.796786	+	0.219233i
$585$	5.62431	−	24.6417i	0.232536	−	1.01881i
$586$	−6.91731	+	1.68619i	−0.285751	+	0.0696558i
$587$	−16.8610			−0.695929			−0.347964	−	0.937508i	$-0.613127\pi$
$587$	−16.8610			−0.695929			−0.347964	+	0.937508i	$0.613127\pi$
$588$	−6.37912	+	12.4622i	−0.263070	+	0.513933i
$589$	−5.43685			−0.224022
$590$	−33.1451	+	8.07958i	−1.36456	+	0.332631i
$591$	−0.304835	+	1.33557i	−0.0125392	+	0.0549380i
$592$	−41.4097	+	2.43791i	−1.70193	+	0.100198i
$593$	−20.5368	−	4.68738i	−0.843344	−	0.192488i	−0.221041	−	0.975264i	$-0.570946\pi$
$593$	−20.5368	−	4.68738i	−0.843344	−	0.192488i	−0.622303	+	0.782777i	$0.713803\pi$
$594$	0.0294735	+	2.00468i	0.00120931	+	0.0822531i
$595$	2.73491	+	31.9671i	0.112120	+	1.31052i
$596$	−0.187670	+	0.250073i	−0.00768727	+	0.0102434i
$597$	8.84434	+	4.25921i	0.361975	+	0.174318i
$598$	66.1685	−	0.972831i	2.70583	−	0.0397820i
$599$	20.0658	+	41.6670i	0.819865	+	1.70247i	0.705137	+	0.709071i	$0.250885\pi$
$599$	20.0658	+	41.6670i	0.819865	+	1.70247i	0.114728	+	0.993397i	$0.463400\pi$
$600$	25.7162	−	1.13492i	1.04986	−	0.0463329i
$601$	16.3098	+	33.8677i	0.665292	+	1.38149i	0.911104	+	0.412176i	$0.135231\pi$
$601$	16.3098	+	33.8677i	0.665292	+	1.38149i	−0.245812	+	0.969318i	$0.579055\pi$
$602$	−4.24936	+	0.426561i	−0.173191	+	0.0173853i
$603$	4.65367	−	9.66345i	0.189512	−	0.393526i
$604$	−29.6525	−	5.85656i	−1.20654	−	0.238300i
$605$	26.3940	−	21.0485i	1.07307	−	0.855745i
$606$	−2.11633	−	0.450411i	−0.0859699	−	0.0182967i
$607$	39.2142			1.59166			0.795828	−	0.605523i	$-0.207036\pi$
$607$	39.2142			1.59166			0.795828	+	0.605523i	$0.207036\pi$
$608$	18.6034	+	7.32906i	0.754466	+	0.297233i
$609$	1.12054	+	13.0975i	0.0454068	+	0.530739i
$610$	36.2115	+	44.0630i	1.46616	+	1.78406i
$611$	−17.8143	−	14.2064i	−0.720690	−	0.574731i
$612$	−4.92903	+	4.17363i	−0.199244	+	0.168709i
$613$	27.5110	+	13.2486i	1.11116	+	0.535105i	0.897150	−	0.441727i	$-0.145634\pi$
$613$	27.5110	+	13.2486i	1.11116	+	0.535105i	0.214008	+	0.976832i	$0.431348\pi$
$614$	−26.3481	−	32.0610i	−1.06332	−	1.29388i
$615$	11.0383	−	13.8416i	0.445108	−	0.558148i
$616$	−7.62992	−	7.37113i	−0.307418	−	0.296991i
$617$	1.62130	+	2.03304i	0.0652709	+	0.0818471i	0.813395	−	0.581712i	$-0.197617\pi$
$617$	1.62130	+	2.03304i	0.0652709	+	0.0818471i	−0.748124	+	0.663559i	$0.769045\pi$
$618$	−5.68554	+	26.7144i	−0.228706	+	1.07461i
$619$	4.54398			0.182638			0.0913189	−	0.995822i	$-0.470892\pi$
$619$	4.54398			0.182638			0.0913189	+	0.995822i	$0.470892\pi$
$620$	11.1819	−	2.90053i	0.449075	−	0.116488i
$621$	−6.77769	+	1.54696i	−0.271979	+	0.0620775i
$622$	−12.0740	+	15.6055i	−0.484122	+	0.625723i
$623$	8.12285	+	8.57126i	0.325435	+	0.343400i
$624$	−10.2359	+	24.9020i	−0.409765	+	0.996879i
$625$	7.68263	+	9.63372i	0.307305	+	0.385349i
$626$	40.0136	−	9.75387i	1.59927	−	0.389843i
$627$	−4.88536	+	1.11505i	−0.195102	+	0.0445308i
$628$	7.18419	−	6.08317i	0.286680	−	0.242745i
$629$	32.6498	+	7.45209i	1.30183	+	0.297134i
$630$	−9.81364	−	10.0551i	−0.390985	−	0.400605i
$631$	16.8557	−	3.84720i	0.671014	−	0.153155i	0.126578	−	0.991957i	$-0.459601\pi$
$631$	16.8557	−	3.84720i	0.671014	−	0.153155i	0.544436	+	0.838802i	$0.316744\pi$
$632$	−8.92560	+	7.78586i	−0.355041	+	0.309705i
$633$	2.72998	+	2.17709i	0.108507	+	0.0865315i
$634$	−6.13594	−	2.84456i	−0.243689	−	0.112972i
$635$	−12.1774	+	5.86431i	−0.483244	+	0.232718i
$636$	−14.8850	−	6.63644i	−0.590227	−	0.263152i
$637$	12.9351	−	45.3061i	0.512509	−	1.79509i
$638$	−9.74309	−	2.07359i	−0.385733	−	0.0820943i
$639$	3.18646	+	6.61676i	0.126055	+	0.261755i
$640$	−42.1712	−	5.14876i	−1.66696	−	0.203523i
$641$	−16.8934	+	21.1837i	−0.667250	+	0.836705i	−0.994111	−	0.108368i	$-0.965438\pi$
$641$	−16.8934	+	21.1837i	−0.667250	+	0.836705i	0.326861	+	0.945072i	$0.394009\pi$
$642$	5.50546	−	11.8757i	0.217283	−	0.468697i
$643$	−6.13035	−	26.8588i	−0.241758	−	1.05921i	−0.939416	−	0.342779i	$-0.888632\pi$
$643$	−6.13035	−	26.8588i	−0.241758	−	1.05921i	0.697659	−	0.716430i	$-0.254225\pi$
$644$	19.4921	−	31.1978i	0.768097	−	1.22936i
$645$	0.953743	−	4.17862i	0.0375536	−	0.164533i
$646$	−12.7674	−	9.87817i	−0.502328	−	0.388651i
$647$	8.10205	+	35.4974i	0.318524	+	1.39555i	0.840142	+	0.542367i	$0.182472\pi$
$647$	8.10205	+	35.4974i	0.318524	+	1.39555i	−0.521618	+	0.853179i	$0.674671\pi$
$648$	0.507195	−	2.78258i	0.0199245	−	0.109310i
$649$	−7.12042	+	5.67835i	−0.279501	+	0.222895i
$650$	−84.1666	+	20.5168i	−3.30129	+	0.804734i
$651$	−3.38644	−	2.25689i	−0.132725	−	0.0884545i
$652$	−19.0971	+	16.1704i	−0.747900	+	0.633280i
$653$	−1.44640	−	6.33708i	−0.0566019	−	0.247989i	0.938710	−	0.344708i	$-0.112022\pi$
$653$	−1.44640	−	6.33708i	−0.0566019	−	0.247989i	−0.995312	+	0.0967194i	$0.969165\pi$
$654$	12.5786	−	6.28700i	0.491863	−	0.245841i
$655$		−	12.2066i		−	0.476951i
$656$	−14.0277	+	12.6044i	−0.547691	+	0.492118i
$657$	−5.52030	+	4.40229i	−0.215367	+	0.171750i
$658$	−12.0053	+	4.03778i	−0.468017	+	0.157409i
$659$	−3.08414	−	2.45952i	−0.120141	−	0.0958093i	0.561576	−	0.827425i	$-0.310195\pi$
$659$	−3.08414	−	2.45952i	−0.120141	−	0.0958093i	−0.681717	+	0.731616i	$0.738767\pi$
$660$	9.45274	−	4.89961i	0.367947	−	0.190717i
$661$	−6.36270	+	13.2123i	−0.247480	+	0.513898i	−0.987292	−	0.158916i	$-0.949200\pi$
$661$	−6.36270	+	13.2123i	−0.247480	+	0.513898i	0.739812	+	0.672814i	$0.234915\pi$
$662$	9.03411	+	6.98968i	0.351120	+	0.271662i
$663$	13.5524	−	16.9942i	0.526333	−	0.660001i
$664$	−5.04354	−	18.3303i	−0.195727	−	0.711354i
$665$	19.4751	−	29.2221i	0.755212	−	1.13319i
$666$	−13.1185	+	6.55685i	−0.508333	+	0.254073i
$667$		−	34.5408i		−	1.33743i
$668$	8.64506	+	3.85439i	0.334487	+	0.149131i
$669$	−9.88787	−	12.3990i	−0.382287	−	0.479373i
$670$	−56.9527	+	0.837336i	−2.20027	+	0.0323491i
$671$	13.7176	+	6.60605i	0.529562	+	0.255024i
$672$	8.54506	+	12.2875i	0.329633	+	0.474000i
$673$	−15.9528	+	7.68244i	−0.614934	+	0.296136i	−0.715304	−	0.698814i	$-0.753712\pi$
$673$	−15.9528	+	7.68244i	−0.614934	+	0.296136i	0.100370	+	0.994950i	$0.467997\pi$
$674$	19.7800	−	9.88638i	0.761899	−	0.380809i
$675$	8.19963	−	3.94874i	0.315604	−	0.151987i
$676$	12.5192	−	63.3861i	0.481507	−	2.43793i
$677$	4.80980	−	9.98766i	0.184856	−	0.383857i	−0.787861	−	0.615853i	$-0.788811\pi$
$677$	4.80980	−	9.98766i	0.184856	−	0.383857i	0.972717	+	0.231996i	$0.0745257\pi$
$678$	−14.6173	−	6.77642i	−0.561373	−	0.260247i
$679$	−21.5030	−	8.17865i	−0.825208	−	0.313868i
$680$	31.5285	+	13.5049i	1.20906	+	0.517888i
$681$	3.85158	−	16.8749i	0.147593	−	0.646647i
$682$	2.38253	−	1.95799i	0.0912316	−	0.0749752i
$683$	−28.9164	−	6.59998i	−1.10646	−	0.252541i	−0.370003	−	0.929031i	$-0.620643\pi$
$683$	−28.9164	−	6.59998i	−1.10646	−	0.252541i	−0.736452	+	0.676489i	$0.763500\pi$
$684$	7.06625	−	0.207825i	0.270185	−	0.00794640i
$685$		−	60.4240i		−	2.30868i
$686$	−17.2613	−	19.6990i	−0.659038	−	0.752110i
$687$		−	5.04093i		−	0.192323i
$688$	−1.73576	+	4.22276i	−0.0661752	+	0.160991i
$689$	53.4730	+	12.2049i	2.03716	+	0.464968i
$690$	23.4403	+	28.5228i	0.892358	+	1.08584i
$691$	−8.83237	+	38.6971i	−0.335999	+	1.47211i	0.471304	+	0.881971i	$0.343784\pi$
$691$	−8.83237	+	38.6971i	−0.335999	+	1.47211i	−0.807303	+	0.590138i	$0.799074\pi$
$692$	−25.5865	−	5.05350i	−0.972653	−	0.192105i
$693$	−3.50580	−	1.33343i	−0.133174	−	0.0506528i
$694$	1.92204	−	4.14598i	0.0729595	−	0.157379i
$695$	26.2533	−	54.5155i	0.995844	−	2.06789i
$696$	12.9178	+	5.53321i	0.489649	+	0.209736i
$697$	13.7175	−	6.60598i	0.519586	−	0.250219i
$698$	3.33429	+	6.67104i	0.126205	+	0.252503i
$699$	12.8860	−	6.20558i	0.487394	−	0.234717i
$700$	−15.7895	+	45.4954i	−0.596787	+	1.71957i
$701$	41.8392	+	20.1487i	1.58025	+	0.761006i	0.998623	−	0.0524524i	$-0.0167038\pi$
$701$	41.8392	+	20.1487i	1.58025	+	0.761006i	0.581623	+	0.813459i	$0.302418\pi$
$702$	0.139936	+	9.51793i	0.00528153	+	0.359231i
$703$	−22.8544	−	28.6585i	−0.861969	−	1.08088i
$704$	−10.7918	+	3.48794i	−0.406729	+	0.131457i
$705$		−	12.7117i		−	0.478752i
$706$	−10.4504	−	20.9086i	−0.393307	−	0.786905i
$707$	2.24490	−	3.36844i	0.0844280	−	0.126683i
$708$	11.4070	−	5.91257i	0.428702	−	0.222208i
$709$	2.48010	−	3.10995i	0.0931421	−	0.116796i	−0.733076	−	0.680146i	$-0.761916\pi$
$709$	2.48010	−	3.10995i	0.0931421	−	0.116796i	0.826218	+	0.563350i	$0.190488\pi$
$710$	23.8658	−	30.8463i	0.895666	−	1.15764i
$711$	−1.81692	+	3.77287i	−0.0681398	+	0.141494i
$712$	12.1718	−	3.34903i	0.456157	−	0.125510i
$713$	8.36033	+	6.66714i	0.313097	+	0.249686i
$714$	−3.85190	−	11.4527i	−0.144154	−	0.428606i
$715$	−28.0149	+	22.3411i	−1.04770	+	0.835510i
$716$	20.4301	−	45.8228i	0.763507	−	1.71248i
$717$		−	11.2468i		−	0.420020i
$718$	−0.101124	−	0.202322i	−0.00377391	−	0.00755059i
$719$	0.473107	+	2.07282i	0.0176439	+	0.0773031i	0.982983	−	0.183694i	$-0.0588057\pi$
$719$	0.473107	+	2.07282i	0.0176439	+	0.0773031i	−0.965339	+	0.260998i	$0.915949\pi$
$720$	−14.4221	+	4.19723i	−0.537481	+	0.156422i
$721$	−42.5198	−	28.3373i	−1.58352	−	1.05534i
$722$	−2.17912	−	8.93946i	−0.0810983	−	0.332692i
$723$	0.859274	−	0.685248i	0.0319568	−	0.0254847i
$724$	−0.305621	−	10.3914i	−0.0113583	−	0.386193i
$725$	10.0619	+	44.0840i	0.373689	+	1.63724i
$726$	−7.78010	+	10.0557i	−0.288746	+	0.373202i
$727$	2.90052	−	12.7080i	0.107574	−	0.471315i	−0.892231	−	0.451580i	$-0.850861\pi$
$727$	2.90052	−	12.7080i	0.107574	−	0.471315i	0.999805	−	0.0197348i	$-0.00628220\pi$
$728$	−36.2257	−	34.9970i	−1.34262	−	1.29708i
$729$	−0.222521	−	0.974928i	−0.00824152	−	0.0361084i
$730$	34.0185	+	15.7706i	1.25908	+	0.583697i
$731$	2.29816	−	2.88180i	0.0850005	−	0.106587i
$732$	−17.1797	−	12.8927i	−0.634980	−	0.476527i
$733$	12.4288	+	25.8086i	0.459066	+	0.953261i	0.994104	+	0.108433i	$0.0345833\pi$
$733$	12.4288	+	25.8086i	0.459066	+	0.953261i	−0.535037	+	0.844828i	$0.679702\pi$
$734$	−1.36272	+	6.40295i	−0.0502989	+	0.236337i
$735$	24.2608	−	10.1172i	0.894873	−	0.373179i
$736$	−19.6191	−	34.0830i	−0.723170	−	1.25632i
$737$	−13.6997	+	6.59740i	−0.504633	+	0.243018i
$738$	−2.80431	+	6.04912i	−0.103228	+	0.222671i
$739$	10.8949	+	8.68840i	0.400776	+	0.319608i	0.803050	−	0.595911i	$-0.203209\pi$
$739$	10.8949	+	8.68840i	0.400776	+	0.319608i	−0.402275	+	0.915519i	$0.631780\pi$
$740$	62.2933	+	46.7486i	2.28995	+	1.71851i
$741$	−23.1950	+	5.29410i	−0.852088	+	0.194483i
$742$	21.8198	−	21.2958i	0.801030	−	0.781794i
$743$	−8.90295	−	2.03204i	−0.326618	−	0.0745484i	0.0560680	−	0.998427i	$-0.482144\pi$
$743$	−8.90295	−	2.03204i	−0.326618	−	0.0745484i	−0.382686	+	0.923879i	$0.625001\pi$
$744$	−3.83269	+	2.05862i	−0.140513	+	0.0754728i
$745$	0.572321	−	0.130628i	0.0209682	−	0.00478586i
$746$	−9.62893	−	39.5011i	−0.352540	−	1.44624i
$747$	−4.19084	−	5.25515i	−0.153335	−	0.192276i
$748$	9.15237	−	0.269180i	0.334644	−	0.00984220i
$749$	16.8450	+	17.7749i	0.615502	+	0.649479i
$750$	−17.2245	−	13.3266i	−0.628951	−	0.486619i
$751$	−22.8682	+	5.21951i	−0.834472	+	0.190463i	−0.618349	−	0.785903i	$-0.712198\pi$
$751$	−22.8682	+	5.21951i	−0.834472	+	0.190463i	−0.216123	+	0.976366i	$0.569341\pi$
$752$	−2.23203	+	13.3555i	−0.0813938	+	0.487024i
$753$	1.74024			0.0634180
$754$	−46.2588	−	9.84511i	−1.68464	−	0.358538i
$755$	35.3829	+	44.3687i	1.28771	+	1.61474i
$756$	4.48760	+	2.80382i	0.163213	+	0.101974i
$757$	2.02461	−	2.53878i	0.0735857	−	0.0922735i	−0.743676	−	0.668540i	$-0.766920\pi$
$757$	2.02461	−	2.53878i	0.0735857	−	0.0922735i	0.817262	+	0.576267i	$0.195491\pi$
$758$	6.94566	−	5.70802i	0.252278	−	0.207325i
$759$	8.87965	+	4.27621i	0.322311	+	0.155217i
$760$	−17.7642	−	33.0729i	−0.644376	−	1.19968i
$761$	2.30418	+	1.83752i	0.0835263	+	0.0666100i	0.664363	−	0.747410i	$-0.268703\pi$
$761$	2.30418	+	1.83752i	0.0835263	+	0.0666100i	−0.580836	+	0.814020i	$0.697274\pi$
$762$	3.93259	−	3.23185i	0.142463	−	0.117077i
$763$	2.24257	+	26.2124i	0.0811866	+	0.948953i
$764$	−33.4348	+	8.67285i	−1.20963	+	0.313773i
$765$	12.1266			0.438436
$766$	10.1695	−	47.7830i	0.367439	−	1.72647i
$767$	−33.8067	+	26.9600i	−1.22069	+	0.973468i
$768$	15.8895	−	1.87743i	0.573362	−	0.0677458i
$769$	9.07022	−	18.8345i	0.327081	−	0.679190i	−0.670978	−	0.741478i	$-0.734125\pi$
$769$	9.07022	−	18.8345i	0.327081	−	0.679190i	0.998058	+	0.0622876i	$0.0198396\pi$
$770$	1.98951	+	19.8193i	0.0716969	+	0.714237i
$771$	2.60160	+	5.40229i	0.0936945	+	0.194559i
$772$	7.36886	+	28.4078i	0.265211	+	1.02242i
$773$	13.7131	+	28.4756i	0.493227	+	1.02420i	0.987896	+	0.155115i	$0.0495749\pi$
$773$	13.7131	+	28.4756i	0.493227	+	1.02420i	−0.494669	+	0.869081i	$0.664711\pi$
$774$	0.0237296	+	1.61400i	0.000852944	+	0.0580142i
$775$	−12.6123	−	6.07378i	−0.453049	−	0.218177i
$776$	−18.5338	+	16.1671i	−0.665324	+	0.580366i
$777$	−2.33883	−	27.3375i	−0.0839051	−	0.980728i
$778$	7.02621	−	0.103302i	0.251902	−	0.00370354i
$779$	−16.2468	−	3.70824i	−0.582104	−	0.132861i
$780$	44.8802	−	23.2626i	1.60697	−	0.832936i
$781$	2.31677	−	10.1505i	0.0829007	−	0.363212i
$782$	7.51922	+	30.8463i	0.268887	+	1.10306i
$783$	4.96848			0.177559
$784$	−27.2659	+	6.36966i	−0.973781	+	0.227488i
$785$	−17.6748			−0.630839
$786$	1.08873	+	4.46634i	0.0388338	+	0.159309i
$787$	−7.37030	+	32.2914i	−0.262723	+	1.15106i	0.655561	+	0.755142i	$0.272432\pi$
$787$	−7.37030	+	32.2914i	−0.262723	+	1.15106i	−0.918284	+	0.395922i	$0.870425\pi$
$788$	−2.43249	+	1.26083i	−0.0866539	+	0.0449151i
$789$	13.6114	+	3.10672i	0.484580	+	0.110602i
$790$	22.2358	−	0.326919i	0.791116	−	0.0116312i
$791$	21.8783	−	20.7337i	0.777902	−	0.737206i
$792$	−3.02171	+	2.63586i	−0.107372	+	0.0936610i
$793$	65.1292	+	31.3646i	2.31281	+	1.11379i
$794$	−0.160279	−	10.9016i	−0.00568809	−	0.386884i
$795$	13.2765	+	27.5690i	0.470870	+	0.977771i
$796$	4.92956	+	19.0040i	0.174724	+	0.673579i
$797$	1.29111	+	2.68103i	0.0457336	+	0.0949668i	0.922584	−	0.385797i	$-0.126074\pi$
$797$	1.29111	+	2.68103i	0.0457336	+	0.0949668i	−0.876850	+	0.480764i	$0.840359\pi$
$798$	−4.51947	+	12.4293i	−0.159987	+	0.439992i
$799$	4.74317	−	9.84929i	0.167801	−	0.348443i
$800$	34.9682	+	37.7846i	1.23631	+	1.33589i
$801$	3.48955	−	2.78282i	0.123297	−	0.0983261i
$802$	−7.82770	+	36.7797i	−0.276406	+	1.29873i
$803$	10.0098			0.353239
$804$	20.7640	−	5.38611i	0.732292	−	0.189953i
$805$	−65.7818	+	21.0533i	−2.31850	+	0.742030i
$806$	11.3119	−	9.29623i	0.398444	−	0.327446i
$807$	2.47494	+	1.97370i	0.0871222	+	0.0694776i
$808$	−2.04768	−	3.81232i	−0.0720373	−	0.134117i
$809$	−39.6549	−	19.0968i	−1.39419	−	0.671408i	−0.422219	−	0.906494i	$-0.638749\pi$
$809$	−39.6549	−	19.0968i	−1.39419	−	0.671408i	−0.971975	+	0.235086i	$0.924463\pi$
$810$	−4.10282	+	3.37175i	−0.144158	+	0.118471i
$811$	2.33423	−	2.92703i	0.0819658	−	0.102782i	−0.739158	−	0.673532i	$-0.764776\pi$
$811$	2.33423	−	2.92703i	0.0819658	−	0.102782i	0.821124	+	0.570750i	$0.193348\pi$
$812$	−18.5429	+	18.6377i	−0.650729	+	0.654055i
$813$	7.77652	+	9.75145i	0.272735	+	0.341998i
$814$	20.3360	+	4.32806i	0.712778	+	0.151698i
$815$	46.9832			1.64575
$816$	−12.7407	−	2.12928i	−0.446012	−	0.0745397i
$817$	−3.93329	+	0.897747i	−0.137608	+	0.0314082i
$818$	24.9486	+	19.3027i	0.872308	+	0.674904i
$819$	−16.6450	−	6.33093i	−0.581624	−	0.221221i
$820$	35.3929	−	1.04094i	1.23597	−	0.0363512i
$821$	−11.2426	−	14.0978i	−0.392369	−	0.492015i	0.545935	−	0.837828i	$-0.316175\pi$
$821$	−11.2426	−	14.0978i	−0.392369	−	0.492015i	−0.938304	+	0.345813i	$0.887603\pi$
$822$	5.38934	+	22.1089i	0.187975	+	0.771135i
$823$	−28.0884	+	6.41099i	−0.979100	+	0.223473i	−0.681983	−	0.731368i	$-0.738882\pi$
$823$	−28.0884	+	6.41099i	−0.979100	+	0.223473i	−0.297117	+	0.954841i	$0.596025\pi$
$824$	−48.1230	+	25.8479i	−1.67644	+	0.900455i
$825$	−12.5787	−	2.87100i	−0.437933	−	0.0999553i
$826$	2.40082	+	23.9168i	0.0835353	+	0.832170i
$827$	−1.72502	+	0.393724i	−0.0599847	+	0.0136911i	−0.252408	−	0.967621i	$-0.581222\pi$
$827$	−1.72502	+	0.393724i	−0.0599847	+	0.0136911i	0.192423	+	0.981312i	$0.438365\pi$
$828$	−11.1207	−	8.34566i	−0.386472	−	0.290032i
$829$	26.1226	+	20.8321i	0.907277	+	0.723529i	0.961443	−	0.275003i	$-0.0886788\pi$
$829$	26.1226	+	20.8321i	0.907277	+	0.723529i	−0.0541668	+	0.998532i	$0.517250\pi$
$830$	−15.0131	+	32.3845i	−0.521113	+	1.12408i
$831$	−3.69599	+	1.77990i	−0.128213	+	0.0617439i
$832$	−51.2377	+	16.5602i	−1.77635	+	0.574123i
$833$	22.5728	+	1.21349i	0.782101	+	0.0420450i
$834$	−4.74361	+	22.2886i	−0.164258	+	0.771790i
$835$	−7.71090	−	16.0118i	−0.266847	−	0.554113i
$836$	−8.01581	−	6.01555i	−0.277233	−	0.208052i
$837$	−0.959026	+	1.20258i	−0.0331488	+	0.0415673i
$838$	−32.1915	−	14.9237i	−1.11204	−	0.515529i
$839$	2.56580	+	11.2415i	0.0885813	+	0.388100i	0.999712	−	0.0240186i	$-0.00764608\pi$
$839$	2.56580	+	11.2415i	0.0885813	+	0.388100i	−0.911130	+	0.412119i	$0.864789\pi$
$840$	2.66415	−	27.9742i	0.0919218	−	0.965200i
$841$	0.959990	−	4.20599i	0.0331031	−	0.145034i
$842$	−15.6122	+	20.1787i	−0.538033	+	0.695403i
$843$	−5.42387	−	23.7635i	−0.186808	−	0.818460i
$844$	0.205305	+	6.98054i	0.00706688	+	0.240280i
$845$	−94.8441	+	75.6357i	−3.26274	+	2.60195i
$846$	1.13379	+	4.65117i	0.0389804	+	0.159910i
$847$	−12.1095	−	20.4726i	−0.416087	−	0.703445i
$848$	−9.10808	−	31.2963i	−0.312773	−	1.07472i
$849$	5.54906	+	24.3120i	0.190443	+	0.834387i
$850$	−18.5823	−	37.1784i	−0.637369	−	1.27521i
$851$			72.0946i			2.47137i
$852$	−5.98113	+	13.4152i	−0.204910	+	0.459596i
$853$	−12.6800	+	10.1120i	−0.434156	+	0.346228i	−0.816053	−	0.577977i	$-0.803842\pi$
$853$	−12.6800	+	10.1120i	−0.434156	+	0.346228i	0.381897	+	0.924205i	$0.375271\pi$
$854$	34.2822	−	20.9642i	1.17311	−	0.717381i
$855$	−10.3773	−	8.27560i	−0.354895	−	0.283019i
$856$	25.2415	−	6.94514i	0.862738	−	0.237380i
$857$	15.3575	−	31.8901i	0.524601	−	1.08935i	−0.455388	−	0.890293i	$-0.650499\pi$
$857$	15.3575	−	31.8901i	0.524601	−	1.08935i	0.979989	−	0.199052i	$-0.0637864\pi$
$858$	8.25786	−	10.6732i	0.281919	−	0.364378i
$859$	−0.425156	+	0.533129i	−0.0145061	+	0.0181901i	−0.789032	−	0.614353i	$-0.789417\pi$
$859$	−0.425156	+	0.533129i	−0.0145061	+	0.0181901i	0.774526	+	0.632543i	$0.217989\pi$
$860$	7.61057	−	3.94476i	0.259518	−	0.134515i
$861$	−8.58030	−	9.05396i	−0.292416	−	0.308558i
$862$	19.7289	+	39.4724i	0.671970	+	1.34443i
$863$			33.6359i			1.14498i	0.819912	+	0.572490i	$0.194022\pi$
$863$			33.6359i			1.14498i	−0.819912	+	0.572490i	$0.805978\pi$
$864$	4.90263	−	2.82209i	0.166791	−	0.0960094i
$865$	30.5312	+	38.2849i	1.03809	+	1.30172i
$866$	−0.451266	−	30.6935i	−0.0153346	−	1.04301i
$867$	−5.92059	−	2.85121i	−0.201074	−	0.0968320i
$868$	−0.931910	−	8.08564i	−0.0316311	−	0.274445i
$869$	5.34871	−	2.57580i	0.181443	−	0.0873781i
$870$	−11.7964	−	23.6015i	−0.399935	−	0.800166i
$871$	−65.0439	+	31.3235i	−2.20393	+	1.06136i
$872$	25.8528	+	11.0737i	0.875485	+	0.375004i
$873$	−3.77279	+	7.83427i	−0.127689	+	0.265150i
$874$	14.6161	−	31.5281i	0.494397	−	1.06645i
$875$	35.0676	−	20.7425i	1.18550	−	0.701223i
$876$	−13.8538	−	2.73622i	−0.468078	−	0.0924485i
$877$	2.68293	−	11.7547i	0.0905962	−	0.396928i	−0.909216	−	0.416326i	$-0.863318\pi$
$877$	2.68293	−	11.7547i	0.0905962	−	0.396928i	0.999812	+	0.0193975i	$0.00617480\pi$
$878$	−5.93954	−	7.22738i	−0.200450	−	0.243912i
$879$	−4.90827	−	1.12028i	−0.165552	−	0.0377862i
$880$	19.6952	+	8.09568i	0.663926	+	0.272905i
$881$		−	19.6994i		−	0.663689i	−0.943334	−	0.331845i	$-0.892329\pi$
$881$		−	19.6994i		−	0.663689i	0.943334	−	0.331845i	$-0.107671\pi$
$882$	−7.97454	+	5.86572i	−0.268517	+	0.197509i
$883$			24.1337i			0.812165i	0.913836	+	0.406083i	$0.133105\pi$
$883$			24.1337i			0.812165i	−0.913836	+	0.406083i	$0.866895\pi$
$884$	43.4541	−	1.27803i	1.46152	−	0.0429847i
$885$	−23.5186	−	5.36797i	−0.790569	−	0.180442i
$886$	−30.1718	+	24.7955i	−1.01364	+	0.833021i
$887$	−4.87293	+	21.3497i	−0.163617	+	0.716852i	0.824842	+	0.565363i	$0.191264\pi$
$887$	−4.87293	+	21.3497i	−0.163617	+	0.716852i	−0.988459	+	0.151489i	$0.951593\pi$
$888$	−26.9624	−	11.5491i	−0.904800	−	0.387561i
$889$	2.90273	+	9.06971i	0.0973545	+	0.304188i
$890$	−21.5041	−	9.96909i	−0.720819	−	0.334164i
$891$	−0.615107	+	1.27728i	−0.0206069	+	0.0427906i
$892$	6.14576	−	31.1167i	0.205775	−	1.04186i
$893$	−10.7805	+	5.19160i	−0.360754	+	0.173730i
$894$	−0.197759	+	0.0988429i	−0.00661404	+	0.00330580i
$895$	−84.8702	+	40.8713i	−2.83690	+	1.36618i
$896$	−7.71100	+	28.9230i	−0.257606	+	0.966250i
$897$	42.1593	+	20.3028i	1.40766	+	0.677892i
$898$	−1.84676	+	0.0271516i	−0.0616271	+	0.000906061i
$899$	−4.76491	−	5.97501i	−0.158919	−	0.199278i
$900$	16.6244	+	7.41195i	0.554145	+	0.247065i
$901$			26.3149i			0.876676i
$902$	8.45511	−	4.22600i	0.281524	−	0.140710i
$903$	−2.82258	−	1.07357i	−0.0939296	−	0.0357261i
$904$	−8.54846	−	31.0687i	−0.284318	−	1.03333i
$905$	−12.1698	+	15.2605i	−0.404538	+	0.507275i
$906$	−16.9038	−	13.0784i	−0.561591	−	0.434502i
$907$	−14.0375	+	29.1492i	−0.466109	+	0.967885i	0.526909	+	0.849921i	$0.323351\pi$
$907$	−14.0375	+	29.1492i	−0.466109	+	0.967885i	−0.993018	+	0.117963i	$0.962364\pi$
$908$	30.7344	−	15.9305i	1.01996	−	0.528672i
$909$	−1.19619	−	0.953930i	−0.0396751	−	0.0316398i
$910$	9.44589	+	94.0990i	0.313128	+	3.11935i
$911$	23.6041	−	18.8236i	0.782039	−	0.623655i	−0.148891	−	0.988854i	$-0.547570\pi$
$911$	23.6041	−	18.8236i	0.782039	−	0.623655i	0.930930	+	0.365199i	$0.118999\pi$
$912$	9.44969	+	10.5168i	0.312911	+	0.348246i
$913$			9.52903i			0.315365i
$914$	−0.680512	+	0.340131i	−0.0225093	+	0.0112505i
$915$	8.97400	+	39.3176i	0.296671	+	1.29980i
$916$	7.69411	−	6.51494i	0.254221	−	0.215260i
$917$	−8.51741	−	1.19207i	−0.281270	−	0.0393656i
$918$	−4.43705	+	1.08159i	−0.146445	+	0.0356979i
$919$	−35.5468	+	28.3477i	−1.17258	+	0.935103i	−0.998765	−	0.0496750i	$-0.984181\pi$
$919$	−35.5468	+	28.3477i	−1.17258	+	0.935103i	−0.173817	+	0.984778i	$0.555610\pi$
$920$	−13.2406	+	72.6407i	−0.436529	+	2.39489i
$921$	−6.52963	−	28.6082i	−0.215159	−	0.942671i
$922$	31.0282	+	24.0065i	1.02186	+	0.790612i
$923$	10.9997	−	48.1929i	0.362060	−	1.58629i
$924$	−2.49567	−	7.07434i	−0.0821017	−	0.232729i
$925$	−21.0014	−	92.0133i	−0.690523	−	3.02538i
$926$	−20.9535	+	45.1983i	−0.688574	+	1.48531i
$927$	−12.0415	+	15.0995i	−0.395493	+	0.495933i
$928$	8.24964	+	26.8680i	0.270808	+	0.881986i
$929$	−10.4689	−	21.7390i	−0.343475	−	0.713232i	0.655650	−	0.755065i	$-0.272395\pi$
$929$	−10.4689	−	21.7390i	−0.343475	−	0.713232i	−0.999125	+	0.0418325i	$0.986680\pi$
$930$	7.98951	+	1.70038i	0.261986	+	0.0557578i
$931$	−18.4885	−	16.4429i	−0.605936	−	0.538895i
$932$	26.1258	+	11.6481i	0.855778	+	0.381548i
$933$	−12.5702	+	6.05351i	−0.411531	+	0.198183i
$934$	−9.21583	−	4.27237i	−0.301551	−	0.139796i
$935$	−13.4409	−	10.7187i	−0.439564	−	0.350540i
$936$	−14.3466	+	12.5147i	−0.468934	+	0.409054i
$937$	−38.7503	+	8.84450i	−1.26592	+	0.288937i	−0.802205	−	0.597049i	$-0.796340\pi$
$937$	−38.7503	+	8.84450i	−1.26592	+	0.288937i	−0.463712	+	0.885986i	$0.653483\pi$
$938$	−4.97760	+	39.8217i	−0.162524	+	1.30023i
$939$	28.3922	+	6.48034i	0.926545	+	0.211478i
$940$	19.4023	−	16.4288i	0.632832	−	0.535847i
$941$	−3.50221	+	0.799357i	−0.114169	+	0.0260583i	−0.279224	−	0.960226i	$-0.590077\pi$
$941$	−3.50221	+	0.799357i	−0.114169	+	0.0260583i	0.165055	+	0.986284i	$0.447220\pi$
$942$	6.46712	−	1.57645i	0.210710	−	0.0513635i
$943$	20.4356	+	25.6255i	0.665476	+	0.834481i
$944$	23.7671	+	9.76940i	0.773552	+	0.317967i
$945$	−3.02838	−	9.46231i	−0.0985133	−	0.307809i
$946$	1.40033	−	1.80991i	0.0455286	−	0.0588453i
$947$	−17.5750	+	4.01138i	−0.571111	+	0.130352i	−0.498318	−	0.866995i	$-0.666049\pi$
$947$	−17.5750	+	4.01138i	−0.571111	+	0.130352i	−0.0727937	+	0.997347i	$0.523191\pi$
$948$	−8.10684	+	2.10288i	−0.263298	+	0.0682984i
$949$	47.5252			1.54273
$950$	−9.47007	+	44.4966i	−0.307250	+	1.44366i
$951$	−2.98173	−	3.73897i	−0.0966892	−	0.121244i
$952$	12.5023	−	20.6808i	0.405202	−	0.670269i
$953$	−3.80357	+	4.76952i	−0.123210	+	0.154500i	−0.839611	−	0.543189i	$-0.817217\pi$
$953$	−3.80357	+	4.76952i	−0.123210	+	0.154500i	0.716401	+	0.697689i	$0.245788\pi$
$954$	−7.31676	−	8.90321i	−0.236889	−	0.288252i
$955$	58.4309	+	28.1388i	1.89078	+	0.910551i
$956$	17.1663	−	14.5355i	0.555199	−	0.470111i
$957$	−5.50699	−	4.39168i	−0.178016	−	0.141963i
$958$	4.68129	+	5.69630i	0.151246	+	0.184039i
$959$	−42.1621	−	5.90087i	−1.36149	−	0.190549i
$960$	−25.0456	−	16.5884i	−0.808345	−	0.535387i
$961$	−28.6341			−0.923680
$962$	96.5525	+	20.5490i	3.11298	+	0.662526i
$963$	7.23654	−	5.77095i	0.233194	−	0.185966i
$964$	2.15645	+	0.425913i	0.0694545	+	0.0137177i
$965$	23.9081	−	49.6456i	0.769628	−	1.59815i
$966$	22.1915	−	13.5705i	0.714000	−	0.436624i
$967$	−7.09510	−	14.7331i	−0.228163	−	0.473785i	0.755187	−	0.655510i	$-0.227546\pi$
$967$	−7.09510	−	14.7331i	−0.228163	−	0.473785i	−0.983349	+	0.181725i	$0.941832\pi$
$968$	−25.4034	+	1.12111i	−0.816495	+	0.0360339i
$969$	−4.95261	−	10.2842i	−0.159101	−	0.330376i
$970$	46.1722	−	0.678838i	1.48250	−	0.0217962i
$971$	10.7835	+	5.19308i	0.346061	+	0.166654i	0.598837	−	0.800871i	$-0.295630\pi$
$971$	10.7835	+	5.19308i	0.346061	+	0.166654i	−0.252777	+	0.967525i	$0.581344\pi$
$972$	1.20047	−	1.59965i	0.0385051	−	0.0513087i
$973$	−35.4755	−	23.6427i	−1.13729	−	0.757949i
$974$	0.401425	+	27.3035i	0.0128625	+	0.874861i
$975$	−59.7216	−	13.6311i	−1.91262	−	0.436544i
$976$	−2.52473	−	42.8845i	−0.0808148	−	1.37270i
$977$	−8.33123	+	36.5015i	−0.266540	+	1.16779i	0.647469	+	0.762092i	$0.275827\pi$
$977$	−8.33123	+	36.5015i	−0.266540	+	1.16779i	−0.914009	+	0.405695i	$0.867030\pi$
$978$	−17.1910	+	4.19053i	−0.549706	+	0.133999i
$979$	−6.32751			−0.202228
$980$	46.7971	+	23.9543i	1.49488	+	0.765193i
$981$	9.94355			0.317473
$982$	−14.0206	+	3.41771i	−0.447414	+	0.109063i
$983$	11.9718	−	52.4518i	0.381840	−	1.67295i	−0.309872	−	0.950778i	$-0.600286\pi$
$983$	11.9718	−	52.4518i	0.381840	−	1.67295i	0.691712	−	0.722173i	$-0.256857\pi$
$984$	−12.8573	+	3.53764i	−0.409874	+	0.112776i
$985$	5.01523	+	1.14469i	0.159798	+	0.0364729i
$986$	−0.333574	−	22.6885i	−0.0106232	−	0.722549i
$987$	−8.86988	−	1.24140i	−0.282331	−	0.0395142i
$988$	−38.0579	−	28.5610i	−1.21078	−	0.908645i
$989$	7.14917	+	3.44286i	0.227330	+	0.109476i
$990$	7.52781	−	0.110676i	0.239250	−	0.00351752i
$991$	16.4666	+	34.1932i	0.523079	+	1.08618i	0.980425	+	0.196895i	$0.0630858\pi$
$991$	16.4666	+	34.1932i	0.523079	+	1.08618i	−0.457346	+	0.889289i	$0.651200\pi$
$992$	−8.09554	−	3.18936i	−0.257034	−	0.101262i
$993$	3.50441	+	7.27698i	0.111209	+	0.230928i
$994$	−19.1930	−	19.6652i	−0.608764	−	0.623743i
$995$	15.9938	−	33.2115i	0.507038	−	1.05288i
$996$	2.60480	−	13.1884i	0.0825361	−	0.417890i
$997$	−45.4879	+	36.2754i	−1.44062	+	1.14885i	−0.477876	+	0.878427i	$0.658593\pi$
$997$	−45.4879	+	36.2754i	−1.44062	+	1.14885i	−0.962741	+	0.270426i	$0.912835\pi$
$998$	−7.24368	−	1.54165i	−0.229295	−	0.0488001i
$999$	−10.3704			−0.328103

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	588.2.x.a.223.17	✓	168
4.3	odd	2		588.2.x.b.223.8	yes	168
49.20	odd	14		588.2.x.b.559.8	yes	168
196.167	even	14	inner	588.2.x.a.559.17	yes	168

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
588.2.x.a.223.17	✓	168	1.1	even	1	trivial
588.2.x.a.559.17	yes	168	196.167	even	14	inner
588.2.x.b.223.8	yes	168	4.3	odd	2
588.2.x.b.559.8	yes	168	49.20	odd	14

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:	\( N \)	\(=\)	\( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	588.x (of order \(14\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.334927 + 1.37398i) q^{2} +(-0.222521 + 0.974928i) q^{3} +(-1.77565 + 0.920366i) q^{4} +(3.66097 + 0.835592i) q^{5} +(-1.41406 + 0.0207900i) q^{6} +(0.940574 - 2.47292i) q^{7} +(-1.85928 - 2.13145i) q^{8} +(-0.900969 - 0.433884i) q^{9} +O(q^{10})\)	\(q+(0.334927 + 1.37398i) q^{2} +(-0.222521 + 0.974928i) q^{3} +(-1.77565 + 0.920366i) q^{4} +(3.66097 + 0.835592i) q^{5} +(-1.41406 + 0.0207900i) q^{6} +(0.940574 - 2.47292i) q^{7} +(-1.85928 - 2.13145i) q^{8} +(-0.900969 - 0.433884i) q^{9} +(0.0780688 + 5.30996i) q^{10} +(0.615107 + 1.27728i) q^{11} +(-0.502172 - 1.93593i) q^{12} +(2.92044 + 6.06435i) q^{13} +(3.71277 + 0.464085i) q^{14} +(-1.62928 + 3.38324i) q^{15} +(2.30585 - 3.26849i) q^{16} +(-2.52480 + 2.01346i) q^{17} +(0.294389 - 1.38323i) q^{18} +3.53465 q^{19} +(-7.26964 + 1.88571i) q^{20} +(2.20162 + 1.46727i) q^{21} +(-1.54895 + 1.27294i) q^{22} +(-5.43528 - 4.33449i) q^{23} +(2.49174 - 1.33837i) q^{24} +(8.19963 + 3.94874i) q^{25} +(-7.35417 + 6.04374i) q^{26} +(0.623490 - 0.781831i) q^{27} +(0.605861 + 5.25670i) q^{28} +(3.09780 + 3.88452i) q^{29} +(-5.19420 - 1.10547i) q^{30} -1.53816 q^{31} +(5.26314 + 2.07349i) q^{32} +(-1.38213 + 0.315463i) q^{33} +(-3.61208 - 2.79467i) q^{34} +(5.50976 - 8.26734i) q^{35} +(1.99914 - 0.0587966i) q^{36} +(-6.46581 - 8.10787i) q^{37} +(1.18385 + 4.85654i) q^{38} +(-6.56216 + 1.49777i) q^{39} +(-5.02573 - 9.35678i) q^{40} +(-4.59645 - 1.04911i) q^{41} +(-1.27862 + 3.51641i) q^{42} +(-1.11278 + 0.253985i) q^{43} +(-2.26778 - 1.70188i) q^{44} +(-2.93587 - 2.34128i) q^{45} +(4.13509 - 8.91971i) q^{46} +(-3.04994 + 1.46877i) q^{47} +(2.67344 + 2.97535i) q^{48} +(-5.23064 - 4.65192i) q^{49} +(-2.67921 + 12.5887i) q^{50} +(-1.40116 - 2.90954i) q^{51} +(-10.7671 - 8.08028i) q^{52} +(5.08062 - 6.37090i) q^{53} +(1.28305 + 0.594807i) q^{54} +(1.18460 + 5.19007i) q^{55} +(-7.01969 + 2.59305i) q^{56} +(-0.786534 + 3.44603i) q^{57} +(-4.29972 + 5.55735i) q^{58} +(1.42951 + 6.26308i) q^{59} +(-0.220788 - 7.50699i) q^{60} +(8.39662 - 6.69608i) q^{61} +(-0.515171 - 2.11340i) q^{62} +(-1.92039 + 1.81992i) q^{63} +(-1.08617 + 7.92592i) q^{64} +(5.62431 + 24.6417i) q^{65} +(-0.896353 - 1.79337i) q^{66} +10.7256i q^{67} +(2.63003 - 5.89894i) q^{68} +(5.43528 - 4.33449i) q^{69} +(13.2045 + 4.80136i) q^{70} +(-5.74181 - 4.57894i) q^{71} +(0.750350 + 2.72708i) q^{72} +(3.06354 - 6.36150i) q^{73} +(8.97449 - 11.5994i) q^{74} +(-5.67432 + 7.11538i) q^{75} +(-6.27630 + 3.25317i) q^{76} +(3.73717 - 0.319729i) q^{77} +(-4.25575 - 8.51464i) q^{78} -4.18757i q^{79} +(11.1728 - 10.0391i) q^{80} +(0.623490 + 0.781831i) q^{81} +(-0.0980176 - 6.66681i) q^{82} +(6.05594 + 2.91639i) q^{83} +(-5.25972 - 0.579056i) q^{84} +(-10.9256 + 5.26151i) q^{85} +(-0.721670 - 1.44387i) q^{86} +(-4.47645 + 2.15574i) q^{87} +(1.57881 - 3.68589i) q^{88} +(-1.93655 + 4.02129i) q^{89} +(2.23357 - 4.81799i) q^{90} +(17.7435 - 1.51803i) q^{91} +(13.6405 + 2.69408i) q^{92} +(0.342273 - 1.49959i) q^{93} +(-3.03957 - 3.69863i) q^{94} +(12.9402 + 2.95353i) q^{95} +(-3.19266 + 4.66979i) q^{96} -8.69538i q^{97} +(4.63977 - 8.74485i) q^{98} -1.41768i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) \) 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9	\( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + 20 q^{10} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 q^{42} + 20 q^{44} - 28 q^{46} - 8 q^{47} + 8 q^{48} - 8 q^{49} + 114 q^{50} + 20 q^{52} - 8 q^{53} - q^{56} + 12 q^{57} - 6 q^{58} + 20 q^{59} + 10 q^{60} - 14 q^{61} - 16 q^{62} - 12 q^{63} + 42 q^{64} - 8 q^{65} - 6 q^{66} - 16 q^{68} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98}+O(q^{100}) \) 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9 + 20 * q^10 - 12 * q^14 + 36 * q^16 + 12 * q^19 - 25 * q^20 + 2 * q^21 - 6 * q^22 - 15 * q^24 + 32 * q^25 + 6 * q^26 - 28 * q^27 - 66 * q^28 - 8 * q^30 - 4 * q^31 + 25 * q^32 - 68 * q^34 - 12 * q^35 - 10 * q^37 + 35 * q^38 + 14 * q^39 + 16 * q^40 + 9 * q^42 + 20 * q^44 - 28 * q^46 - 8 * q^47 + 8 * q^48 - 8 * q^49 + 114 * q^50 + 20 * q^52 - 8 * q^53 - q^56 + 12 * q^57 - 6 * q^58 + 20 * q^59 + 10 * q^60 - 14 * q^61 - 16 * q^62 - 12 * q^63 + 42 * q^64 - 8 * q^65 - 6 * q^66 - 16 * q^68 + 59 * q^70 + 28 * q^71 - 15 * q^72 + 22 * q^74 + 18 * q^75 + 7 * q^76 + 8 * q^77 + 6 * q^78 + 26 * q^80 - 28 * q^81 + 12 * q^82 + 10 * q^83 + 11 * q^84 - 24 * q^85 - 6 * q^86 - 242 * q^88 + 20 * q^90 - 16 * q^91 + 7 * q^92 - 4 * q^93 - 53 * q^94 - 10 * q^96 - 118 * q^98

Introduction

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