LMFDB - Embedded newform 160.2.u.a.43.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [160,2,Mod(43,160)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(160, base_ring=CyclotomicField(8))

chi = DirichletCharacter(H, H._module([4, 5, 6]))

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

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

chi := DirichletCharacter("160.43");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 160 = 2^{5} \cdot 5 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	160.u (of order $8$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$1.27760643234$
Analytic rank:	$0$
Dimension:	$88$
Relative dimension:	$22$ over $\Q(\zeta_{8})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label			43.3
Character	$\chi$	$=$	160.43
Dual form			160.2.u.a.67.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.37186 + 0.343520i) q^{2} +(1.11476 - 2.69126i) q^{3} +(1.76399 - 0.942521i) q^{4} +(1.50867 - 1.65043i) q^{5} +(-0.604785 + 4.07496i) q^{6} +0.518179i q^{7} +(-2.09617 + 1.89897i) q^{8} +(-3.87887 - 3.87887i) q^{9} +O(q^{10})$	\(q+(-1.37186 + 0.343520i) q^{2} +(1.11476 - 2.69126i) q^{3} +(1.76399 - 0.942521i) q^{4} +(1.50867 - 1.65043i) q^{5} +(-0.604785 + 4.07496i) q^{6} +0.518179i q^{7} +(-2.09617 + 1.89897i) q^{8} +(-3.87887 - 3.87887i) q^{9} +(-1.50273 + 2.78241i) q^{10} +(-2.17487 + 5.25060i) q^{11} +(-0.570153 - 5.79803i) q^{12} +(1.35516 - 3.27164i) q^{13} +(-0.178005 - 0.710868i) q^{14} +(-2.75992 - 5.90005i) q^{15} +(2.22331 - 3.32519i) q^{16} +(-0.261753 - 0.261753i) q^{17} +(6.65373 + 3.98879i) q^{18} +(2.70412 + 6.52833i) q^{19} +(1.10572 - 4.33329i) q^{20} +(1.39455 + 0.577643i) q^{21} +(1.17993 - 7.95018i) q^{22} -1.83451i q^{23} +(2.77391 + 7.75821i) q^{24} +(-0.447816 - 4.97991i) q^{25} +(-0.735209 + 4.95374i) q^{26} +(-6.68926 + 2.77078i) q^{27} +(0.488395 + 0.914062i) q^{28} +(-0.276806 - 0.668268i) q^{29} +(5.81301 + 7.14594i) q^{30} -2.75551i q^{31} +(-1.90779 + 5.32544i) q^{32} +(11.7063 + 11.7063i) q^{33} +(0.449006 + 0.269171i) q^{34} +(0.855217 + 0.781763i) q^{35} +(-10.4982 - 3.18636i) q^{36} +(1.66881 + 4.02887i) q^{37} +(-5.95229 - 8.02702i) q^{38} +(-7.29415 - 7.29415i) q^{39} +(-0.0283149 + 6.32449i) q^{40} +(-5.14053 + 5.14053i) q^{41} +(-2.11156 - 0.313387i) q^{42} +(1.26731 - 0.524937i) q^{43} +(1.11236 + 11.3119i) q^{44} +(-12.2537 + 0.549847i) q^{45} +(0.630191 + 2.51669i) q^{46} +(-2.43291 + 2.43291i) q^{47} +(-6.47051 - 9.69027i) q^{48} +6.73149 q^{49} +(2.32504 + 6.67789i) q^{50} +(-0.996237 + 0.412655i) q^{51} +(-0.693108 - 7.04839i) q^{52} +(1.16982 + 2.82419i) q^{53} +(8.22489 - 6.09901i) q^{54} +(5.38456 + 11.5109i) q^{55} +(-0.984007 - 1.08619i) q^{56} +20.5839 q^{57} +(0.609301 + 0.821680i) q^{58} +(-1.58456 + 3.82546i) q^{59} +(-10.4294 - 7.80633i) q^{60} +(7.12914 - 2.95299i) q^{61} +(0.946573 + 3.78017i) q^{62} +(2.00995 - 2.00995i) q^{63} +(0.787820 - 7.96111i) q^{64} +(-3.35511 - 7.17241i) q^{65} +(-20.0807 - 12.0380i) q^{66} +(-3.19769 - 1.32452i) q^{67} +(-0.708438 - 0.215022i) q^{68} +(-4.93714 - 2.04503i) q^{69} +(-1.44179 - 0.778683i) q^{70} +(10.6198 - 10.6198i) q^{71} +(15.4966 + 0.764893i) q^{72} +1.13676 q^{73} +(-3.67337 - 4.95376i) q^{74} +(-13.9014 - 4.34619i) q^{75} +(10.9231 + 8.96721i) q^{76} +(-2.72075 - 1.12697i) q^{77} +(12.5122 + 7.50085i) q^{78} +8.62977i q^{79} +(-2.13375 - 8.68603i) q^{80} +4.63461i q^{81} +(5.28620 - 8.81795i) q^{82} +(-6.87768 - 2.84883i) q^{83} +(3.00442 - 0.295441i) q^{84} +(-0.826905 + 0.0371047i) q^{85} +(-1.55824 + 1.15549i) q^{86} -2.10705 q^{87} +(-5.41185 - 15.1361i) q^{88} +(-1.30140 + 1.30140i) q^{89} +(16.6215 - 4.96372i) q^{90} +(1.69529 + 0.702213i) q^{91} +(-1.72906 - 3.23605i) q^{92} +(-7.41579 - 3.07172i) q^{93} +(2.50186 - 4.17336i) q^{94} +(14.8542 + 5.38616i) q^{95} +(12.2054 + 11.0709i) q^{96} +(-9.70520 + 9.70520i) q^{97} +(-9.23465 + 2.31240i) q^{98} +(28.8024 - 11.9304i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 88 q - 4 q^{2} - 4 q^{3} - 4 q^{5} - 8 q^{6} - 16 q^{8}+O(q^{10}) $ 88 * q - 4 * q^2 - 4 * q^3 - 4 * q^5 - 8 * q^6 - 16 * q^8	$ 88 q - 4 q^{2} - 4 q^{3} - 4 q^{5} - 8 q^{6} - 16 q^{8} - 16 q^{10} - 8 q^{11} - 20 q^{12} - 4 q^{13} + 16 q^{14} - 8 q^{15} - 8 q^{16} + 4 q^{18} + 16 q^{19} + 24 q^{20} - 8 q^{21} - 20 q^{22} - 32 q^{24} - 4 q^{25} - 8 q^{26} - 16 q^{27} + 12 q^{28} + 8 q^{30} - 24 q^{32} - 8 q^{33} + 8 q^{34} - 8 q^{35} - 8 q^{36} - 4 q^{37} - 60 q^{38} + 16 q^{40} - 8 q^{41} + 60 q^{42} - 36 q^{43} + 16 q^{44} - 4 q^{45} - 8 q^{46} - 8 q^{47} - 24 q^{48} - 40 q^{49} - 12 q^{50} + 8 q^{51} - 56 q^{52} - 4 q^{53} - 56 q^{54} - 36 q^{55} + 40 q^{56} - 8 q^{57} - 36 q^{58} + 12 q^{60} - 40 q^{61} + 40 q^{62} + 56 q^{63} + 48 q^{64} - 8 q^{65} + 72 q^{66} + 20 q^{67} + 8 q^{68} + 24 q^{69} + 60 q^{70} + 24 q^{71} + 24 q^{72} - 8 q^{73} + 8 q^{75} + 56 q^{76} + 24 q^{77} + 32 q^{78} - 8 q^{80} + 84 q^{82} - 44 q^{83} + 56 q^{84} - 4 q^{85} + 24 q^{86} - 120 q^{87} + 104 q^{88} + 148 q^{90} - 8 q^{91} + 124 q^{92} + 8 q^{93} - 32 q^{94} + 24 q^{96} - 8 q^{97} - 16 q^{98}+O(q^{100}) $ 88 * q - 4 * q^2 - 4 * q^3 - 4 * q^5 - 8 * q^6 - 16 * q^8 - 16 * q^10 - 8 * q^11 - 20 * q^12 - 4 * q^13 + 16 * q^14 - 8 * q^15 - 8 * q^16 + 4 * q^18 + 16 * q^19 + 24 * q^20 - 8 * q^21 - 20 * q^22 - 32 * q^24 - 4 * q^25 - 8 * q^26 - 16 * q^27 + 12 * q^28 + 8 * q^30 - 24 * q^32 - 8 * q^33 + 8 * q^34 - 8 * q^35 - 8 * q^36 - 4 * q^37 - 60 * q^38 + 16 * q^40 - 8 * q^41 + 60 * q^42 - 36 * q^43 + 16 * q^44 - 4 * q^45 - 8 * q^46 - 8 * q^47 - 24 * q^48 - 40 * q^49 - 12 * q^50 + 8 * q^51 - 56 * q^52 - 4 * q^53 - 56 * q^54 - 36 * q^55 + 40 * q^56 - 8 * q^57 - 36 * q^58 + 12 * q^60 - 40 * q^61 + 40 * q^62 + 56 * q^63 + 48 * q^64 - 8 * q^65 + 72 * q^66 + 20 * q^67 + 8 * q^68 + 24 * q^69 + 60 * q^70 + 24 * q^71 + 24 * q^72 - 8 * q^73 + 8 * q^75 + 56 * q^76 + 24 * q^77 + 32 * q^78 - 8 * q^80 + 84 * q^82 - 44 * q^83 + 56 * q^84 - 4 * q^85 + 24 * q^86 - 120 * q^87 + 104 * q^88 + 148 * q^90 - 8 * q^91 + 124 * q^92 + 8 * q^93 - 32 * q^94 + 24 * q^96 - 8 * q^97 - 16 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/160\mathbb{Z}\right)^\times$.

$n$	$31$	$97$	$101$
$\chi(n)$	$-1$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{5}{8}\right)$

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 $

$2$	−1.37186	+	0.343520i	−0.970050	+	0.242905i
$2$	−1.37186	+	0.343520i	−0.970050	+	0.242905i
$3$	1.11476	−	2.69126i	0.643604	−	1.55380i	−0.178179	−	0.983998i	$-0.557021\pi$
$3$	1.11476	−	2.69126i	0.643604	−	1.55380i	0.821783	−	0.569800i	$-0.192979\pi$
$4$	1.76399	−	0.942521i	0.881994	−	0.471261i
$5$	1.50867	−	1.65043i	0.674699	−	0.738093i
$5$	1.50867	−	1.65043i	0.674699	−	0.738093i
$6$	−0.604785	+	4.07496i	−0.246902	+	1.66360i
$7$			0.518179i			0.195853i	0.995194	+	0.0979267i	$0.0312211\pi$
$7$			0.518179i			0.195853i	−0.995194	+	0.0979267i	$0.968779\pi$
$8$	−2.09617	+	1.89897i	−0.741106	+	0.671388i
$9$	−3.87887	−	3.87887i	−1.29296	−	1.29296i
$10$	−1.50273	+	2.78241i	−0.475205	+	0.879875i
$11$	−2.17487	+	5.25060i	−0.655748	+	1.58311i	0.148561	+	0.988903i	$0.452536\pi$
$11$	−2.17487	+	5.25060i	−0.655748	+	1.58311i	−0.804309	+	0.594212i	$0.797464\pi$
$12$	−0.570153	−	5.79803i	−0.164589	−	1.67375i
$13$	1.35516	−	3.27164i	0.375853	−	0.907388i	−0.616881	−	0.787056i	$-0.711604\pi$
$13$	1.35516	−	3.27164i	0.375853	−	0.907388i	0.992734	−	0.120332i	$-0.0383959\pi$
$14$	−0.178005	−	0.710868i	−0.0475738	−	0.189988i
$15$	−2.75992	−	5.90005i	−0.712609	−	1.52339i
$16$	2.22331	−	3.32519i	0.555827	−	0.831298i
$17$	−0.261753	−	0.261753i	−0.0634845	−	0.0634845i	0.674652	−	0.738136i	$-0.264294\pi$
$17$	−0.261753	−	0.261753i	−0.0634845	−	0.0634845i	−0.738136	+	0.674652i	$0.764294\pi$
$18$	6.65373	+	3.98879i	1.56830	+	0.940166i
$19$	2.70412	+	6.52833i	0.620369	+	1.49770i	0.851271	+	0.524726i	$0.175832\pi$
$19$	2.70412	+	6.52833i	0.620369	+	1.49770i	−0.230903	+	0.972977i	$0.574168\pi$
$20$	1.10572	−	4.33329i	0.247246	−	0.968953i
$21$	1.39455	+	0.577643i	0.304317	+	0.126052i
$22$	1.17993	−	7.95018i	0.251561	−	1.69499i
$23$		−	1.83451i		−	0.382522i	−0.981539	−	0.191261i	$-0.938742\pi$
$23$		−	1.83451i		−	0.382522i	0.981539	−	0.191261i	$-0.0612576\pi$
$24$	2.77391	+	7.75821i	0.566222	+	1.58364i
$25$	−0.447816	−	4.97991i	−0.0895633	−	0.995981i
$26$	−0.735209	+	4.95374i	−0.144186	+	0.971509i
$27$	−6.68926	+	2.77078i	−1.28735	+	0.533237i
$28$	0.488395	+	0.914062i	0.0922980	+	0.172741i
$29$	−0.276806	−	0.668268i	−0.0514015	−	0.124094i	0.896093	−	0.443867i	$-0.146394\pi$
$29$	−0.276806	−	0.668268i	−0.0514015	−	0.124094i	−0.947494	+	0.319772i	$0.896394\pi$
$30$	5.81301	+	7.14594i	1.06131	+	1.30466i
$31$		−	2.75551i		−	0.494904i	−0.968900	−	0.247452i	$-0.920407\pi$
$31$		−	2.75551i		−	0.494904i	0.968900	−	0.247452i	$-0.0795933\pi$
$32$	−1.90779	+	5.32544i	−0.337253	+	0.941414i
$33$	11.7063	+	11.7063i	2.03780	+	2.03780i
$34$	0.449006	+	0.269171i	0.0770039	+	0.0461624i
$35$	0.855217	+	0.781763i	0.144558	+	0.132142i
$36$	−10.4982	−	3.18636i	−1.74970	−	0.531060i
$37$	1.66881	+	4.02887i	0.274351	+	0.662342i	0.999660	−	0.0260818i	$-0.00830304\pi$
$37$	1.66881	+	4.02887i	0.274351	+	0.662342i	−0.725309	+	0.688424i	$0.758303\pi$
$38$	−5.95229	−	8.02702i	−0.965589	−	1.30216i
$39$	−7.29415	−	7.29415i	−1.16800	−	1.16800i
$40$	−0.0283149	+	6.32449i	−0.00447697	+	0.999990i
$41$	−5.14053	+	5.14053i	−0.802816	+	0.802816i	−0.983535	−	0.180719i	$-0.942158\pi$
$41$	−5.14053	+	5.14053i	−0.802816	+	0.802816i	0.180719	+	0.983535i	$0.442158\pi$
$42$	−2.11156	−	0.313387i	−0.325821	−	0.0483567i
$43$	1.26731	−	0.524937i	0.193263	−	0.0800521i	−0.283953	−	0.958838i	$-0.591646\pi$
$43$	1.26731	−	0.524937i	0.193263	−	0.0800521i	0.477216	+	0.878786i	$0.341646\pi$
$44$	1.11236	+	11.3119i	0.167694	+	1.70533i
$45$	−12.2537	+	0.549847i	−1.82668	+	0.0819664i
$46$	0.630191	+	2.51669i	0.0929166	+	0.371065i
$47$	−2.43291	+	2.43291i	−0.354877	+	0.354877i	−0.861920	−	0.507044i	$-0.830738\pi$
$47$	−2.43291	+	2.43291i	−0.354877	+	0.354877i	0.507044	+	0.861920i	$0.330738\pi$
$48$	−6.47051	−	9.69027i	−0.933937	−	1.39867i
$49$	6.73149			0.961641
$50$	2.32504	+	6.67789i	0.328810	+	0.944396i
$51$	−0.996237	+	0.412655i	−0.139501	+	0.0577832i
$52$	−0.693108	−	7.04839i	−0.0961168	−	0.977436i
$53$	1.16982	+	2.82419i	0.160687	+	0.387932i	0.983632	−	0.180189i	$-0.0576708\pi$
$53$	1.16982	+	2.82419i	0.160687	+	0.387932i	−0.822945	+	0.568120i	$0.807671\pi$
$54$	8.22489	−	6.09901i	1.11927	−	0.829970i
$55$	5.38456	+	11.5109i	0.726054	+	1.55213i
$56$	−0.984007	−	1.08619i	−0.131493	−	0.145148i
$57$	20.5839			2.72640
$58$	0.609301	+	0.821680i	0.0800052	+	0.107892i
$59$	−1.58456	+	3.82546i	−0.206292	+	0.498032i	−0.992834	−	0.119505i	$-0.961869\pi$
$59$	−1.58456	+	3.82546i	−0.206292	+	0.498032i	0.786542	+	0.617537i	$0.211869\pi$
$60$	−10.4294	−	7.80633i	−1.34643	−	1.00779i
$61$	7.12914	−	2.95299i	0.912793	−	0.378091i	0.123668	−	0.992324i	$-0.460534\pi$
$61$	7.12914	−	2.95299i	0.912793	−	0.378091i	0.789125	+	0.614232i	$0.210534\pi$
$62$	0.946573	+	3.78017i	0.120215	+	0.480082i
$63$	2.00995	−	2.00995i	0.253230	−	0.253230i
$64$	0.787820	−	7.96111i	0.0984776	−	0.995139i
$65$	−3.35511	−	7.17241i	−0.416150	−	0.889628i
$66$	−20.0807	−	12.0380i	−2.47176	−	1.48177i
$67$	−3.19769	−	1.32452i	−0.390659	−	0.161816i	0.178703	−	0.983903i	$-0.442810\pi$
$67$	−3.19769	−	1.32452i	−0.390659	−	0.161816i	−0.569362	+	0.822087i	$0.692810\pi$
$68$	−0.708438	−	0.215022i	−0.0859107	−	0.0260752i
$69$	−4.93714	−	2.04503i	−0.594362	−	0.246193i
$70$	−1.44179	−	0.778683i	−0.172326	−	0.0930704i
$71$	10.6198	−	10.6198i	1.26034	−	1.26034i	0.309410	−	0.950929i	$-0.399868\pi$
$71$	10.6198	−	10.6198i	1.26034	−	1.26034i	0.950929	−	0.309410i	$-0.100132\pi$
$72$	15.4966	+	0.764893i	1.82629	+	0.0901435i
$73$	1.13676			0.133048			0.0665240	−	0.997785i	$-0.478809\pi$
$73$	1.13676			0.133048			0.0665240	+	0.997785i	$0.478809\pi$
$74$	−3.67337	−	4.95376i	−0.427021	−	0.575863i
$75$	−13.9014	−	4.34619i	−1.60520	−	0.501855i
$76$	10.9231	+	8.96721i	1.25297	+	1.02861i
$77$	−2.72075	−	1.12697i	−0.310058	−	0.128430i
$78$	12.5122	+	7.50085i	1.41673	+	0.849304i
$79$			8.62977i			0.970925i	0.874258	+	0.485462i	$0.161349\pi$
$79$			8.62977i			0.970925i	−0.874258	+	0.485462i	$0.838651\pi$
$80$	−2.13375	−	8.68603i	−0.238560	−	0.971128i
$81$			4.63461i			0.514956i
$82$	5.28620	−	8.81795i	0.583763	−	0.973780i
$83$	−6.87768	−	2.84883i	−0.754924	−	0.312700i	−0.0281749	−	0.999603i	$-0.508970\pi$
$83$	−6.87768	−	2.84883i	−0.754924	−	0.312700i	−0.726749	+	0.686903i	$0.758970\pi$
$84$	3.00442	−	0.295441i	0.327809	−	0.0322353i
$85$	−0.826905	+	0.0371047i	−0.0896904	+	0.00402457i
$86$	−1.55824	+	1.15549i	−0.168030	+	0.124599i
$87$	−2.10705			−0.225900
$88$	−5.41185	−	15.1361i	−0.576905	−	1.61352i
$89$	−1.30140	+	1.30140i	−0.137948	+	0.137948i	−0.772709	−	0.634761i	$-0.781099\pi$
$89$	−1.30140	+	1.30140i	−0.137948	+	0.137948i	0.634761	+	0.772709i	$0.281099\pi$
$90$	16.6215	−	4.96372i	1.75206	−	0.523222i
$91$	1.69529	+	0.702213i	0.177715	+	0.0736120i
$92$	−1.72906	−	3.23605i	−0.180267	−	0.337382i
$93$	−7.41579	−	3.07172i	−0.768981	−	0.318523i
$94$	2.50186	−	4.17336i	0.258047	−	0.430450i
$95$	14.8542	+	5.38616i	1.52401	+	0.552608i
$96$	12.2054	+	11.0709i	1.24571	+	1.12992i
$97$	−9.70520	+	9.70520i	−0.985413	+	0.985413i	−0.999895	−	0.0144817i	$-0.995390\pi$
$97$	−9.70520	+	9.70520i	−0.985413	+	0.985413i	0.0144817	+	0.999895i	$0.495390\pi$
$98$	−9.23465	+	2.31240i	−0.932840	+	0.233588i
$99$	28.8024	−	11.9304i	2.89475	−	1.19905i
$100$	−5.48361	−	8.36242i	−0.548361	−	0.836242i
$101$	−0.0113678	+	0.0274442i	−0.00113114	+	0.00273080i	−0.924444	−	0.381318i	$-0.875470\pi$
$101$	−0.0113678	+	0.0274442i	−0.00113114	+	0.00273080i	0.923313	+	0.384048i	$0.125470\pi$
$102$	1.22494	−	0.908331i	0.121287	−	0.0899382i
$103$	−15.0976			−1.48761			−0.743806	−	0.668395i	$-0.766982\pi$
$103$	−15.0976			−1.48761			−0.743806	+	0.668395i	$0.766982\pi$
$104$	3.37211	+	9.43129i	0.330662	+	0.924814i
$105$	3.05728	−	1.43013i	0.298360	−	0.139567i
$106$	−2.57499	−	3.47253i	−0.250105	−	0.337282i
$107$	4.99452	+	12.0578i	0.482838	+	1.16567i	0.958255	+	0.285914i	$0.0922972\pi$
$107$	4.99452	+	12.0578i	0.482838	+	1.16567i	−0.475417	+	0.879761i	$0.657703\pi$
$108$	−9.18825	+	11.1924i	−0.884139	+	1.07699i
$109$	−11.8974	+	4.92806i	−1.13956	+	0.472023i	−0.871021	−	0.491245i	$-0.836542\pi$
$109$	−11.8974	+	4.92806i	−1.13956	+	0.472023i	−0.268542	+	0.963268i	$0.586542\pi$
$110$	−11.3411	−	13.9416i	−1.08133	−	1.32928i
$111$	12.7030			1.20572
$112$	1.72305	+	1.15207i	0.162813	+	0.108860i
$113$	2.05173	−	2.05173i	0.193011	−	0.193011i	−0.603985	−	0.796996i	$-0.706421\pi$
$113$	2.05173	−	2.05173i	0.193011	−	0.193011i	0.796996	+	0.603985i	$0.206421\pi$
$114$	−28.2381	+	7.07097i	−2.64474	+	0.662257i
$115$	−3.02772	−	2.76767i	−0.282337	−	0.258087i
$116$	−1.11814	−	0.917921i	−0.103817	−	0.0852269i
$117$	−17.9467	+	7.43377i	−1.65917	+	0.687253i
$118$	0.859665	−	5.79231i	0.0791386	−	0.533226i
$119$	0.135635	−	0.135635i	0.0124337	−	0.0124337i
$120$	16.9893	+	7.12647i	1.55090	+	0.650554i
$121$	−15.0605	−	15.0605i	−1.36914	−	1.36914i
$122$	−8.76576	+	6.50008i	−0.793615	+	0.588490i
$123$	8.10406	+	19.5649i	0.730719	+	1.76411i
$124$	−2.59713	−	4.86069i	−0.233229	−	0.436503i
$125$	−8.89458	−	6.77396i	−0.795555	−	0.605881i
$126$	−2.06691	+	3.44782i	−0.184135	+	0.307156i
$127$	−10.5218	−	10.5218i	−0.933658	−	0.933658i	0.0642740	−	0.997932i	$-0.479527\pi$
$127$	−10.5218	−	10.5218i	−0.933658	−	0.933658i	−0.997932	+	0.0642740i	$0.979527\pi$
$128$	1.65402	+	11.1921i	0.146197	+	0.989256i
$129$		−	3.99583i		−	0.351814i
$130$	7.06660	+	8.68698i	0.619782	+	0.761899i
$131$	0.423030	+	1.02128i	0.0369603	+	0.0892301i	0.941282	−	0.337622i	$-0.109623\pi$
$131$	0.423030	+	1.02128i	0.0369603	+	0.0892301i	−0.904321	+	0.426852i	$0.859623\pi$
$132$	31.6831	+	9.61630i	2.75766	+	0.836992i
$133$	−3.38285	+	1.40122i	−0.293330	+	0.121501i
$134$	4.84177	+	0.718590i	0.418265	+	0.0620767i
$135$	−5.51892	+	15.2203i	−0.474993	+	1.30996i
$136$	1.04574	+	0.0516164i	0.0896715	+	0.00442607i
$137$		−	8.58550i		−	0.733509i	−0.930318	−	0.366755i	$-0.880469\pi$
$137$		−	8.58550i		−	0.733509i	0.930318	−	0.366755i	$-0.119531\pi$
$138$	7.47556	+	1.10948i	0.636362	+	0.0944455i
$139$	2.64266	+	1.09463i	0.224148	+	0.0928450i	0.491931	−	0.870634i	$-0.336291\pi$
$139$	2.64266	+	1.09463i	0.224148	+	0.0928450i	−0.267783	+	0.963479i	$0.586291\pi$
$140$	2.24542	+	0.572960i	0.189773	+	0.0484239i
$141$	3.83549	+	9.25970i	0.323007	+	0.779807i
$142$	−10.9207	+	18.2170i	−0.916448	+	1.52873i
$143$	14.2308	+	14.2308i	1.19004	+	1.19004i
$144$	−21.5219	+	4.27407i	−1.79349	+	0.356173i
$145$	−1.52054	−	0.551350i	−0.126274	−	0.0457871i
$146$	−1.55948	+	0.390501i	−0.129063	+	0.0323181i
$147$	7.50397	−	18.1162i	0.618917	−	1.49420i
$148$	6.74106	+	5.53398i	0.554112	+	0.454891i
$149$	5.77057	−	13.9314i	0.472743	−	1.14130i	−0.490202	−	0.871609i	$-0.663077\pi$
$149$	5.77057	−	13.9314i	0.472743	−	1.14130i	0.962946	−	0.269695i	$-0.0869229\pi$
$150$	20.5638	+	1.18694i	1.67902	+	0.0969130i
$151$	−9.60398	−	9.60398i	−0.781561	−	0.781561i	0.198533	−	0.980094i	$-0.436382\pi$
$151$	−9.60398	−	9.60398i	−0.781561	−	0.781561i	−0.980094	+	0.198533i	$0.936382\pi$
$152$	−18.0654	−	8.54942i	−1.46530	−	0.693449i
$153$			2.03061i			0.164165i
$154$	4.11962	+	0.611413i	0.331968	+	0.0492690i
$155$	−4.54777	−	4.15716i	−0.365285	−	0.333911i
$156$	−19.7417	−	5.99190i	−1.58060	−	0.479736i
$157$	−7.28422	+	17.5857i	−0.581344	+	1.40349i	0.310251	+	0.950655i	$0.399587\pi$
$157$	−7.28422	+	17.5857i	−0.581344	+	1.40349i	−0.891595	+	0.452834i	$0.850413\pi$
$158$	−2.96450	−	11.8388i	−0.235843	−	0.941846i
$159$	8.90467			0.706187
$160$	5.91102	+	11.1830i	0.467307	+	0.884095i
$161$	0.950604			0.0749181
$162$	−1.59208	−	6.35802i	−0.125086	−	0.499533i
$163$	−3.28242	+	7.92447i	−0.257099	+	0.620693i	−0.998744	−	0.0501001i	$-0.984046\pi$
$163$	−3.28242	+	7.92447i	−0.257099	+	0.620693i	0.741645	+	0.670793i	$0.234046\pi$
$164$	−4.22277	+	13.9129i	−0.329743	+	1.08641i
$165$	36.9813	−	1.65942i	2.87899	−	0.129185i
$166$	10.4138	+	1.54557i	0.808270	+	0.119959i
$167$		−	17.6801i		−	1.36813i	−0.729423	−	0.684063i	$-0.760211\pi$
$167$		−	17.6801i		−	1.36813i	0.729423	−	0.684063i	$-0.239789\pi$
$168$	−4.02014	+	1.43738i	−0.310161	+	0.110896i
$169$	0.325238	+	0.325238i	0.0250183	+	0.0250183i
$170$	1.12165	−	0.334961i	0.0860266	−	0.0256903i
$171$	14.8336	−	35.8115i	1.13435	−	2.73857i
$172$	1.74075	−	2.12045i	0.132731	−	0.161683i
$173$	2.39318	−	5.77764i	0.181950	−	0.439265i	−0.806418	−	0.591345i	$-0.798597\pi$
$173$	2.39318	−	5.77764i	0.181950	−	0.439265i	0.988368	+	0.152080i	$0.0485971\pi$
$174$	2.89058	−	0.723815i	0.219134	−	0.0548722i
$175$	2.58048	−	0.232049i	0.195066	−	0.0175413i
$176$	12.6238	+	18.9055i	0.951558	+	1.42506i
$177$	8.52890	+	8.52890i	0.641071	+	0.641071i
$178$	1.33828	−	2.23239i	0.100308	−	0.167325i
$179$	0.366757	+	0.885430i	0.0274127	+	0.0661802i	0.936993	−	0.349348i	$-0.113597\pi$
$179$	0.366757	+	0.885430i	0.0274127	+	0.0661802i	−0.909580	+	0.415528i	$0.863597\pi$
$180$	−21.0972	+	12.5193i	−1.57249	+	0.933136i
$181$	15.4319	+	6.39210i	1.14704	+	0.475121i	0.873541	−	0.486750i	$-0.161818\pi$
$181$	15.4319	+	6.39210i	1.14704	+	0.475121i	0.273503	+	0.961871i	$0.411818\pi$
$182$	−2.56693	−	0.380970i	−0.190273	−	0.0282394i
$183$		−	22.4782i		−	1.66164i
$184$	3.48368	+	3.84543i	0.256820	+	0.283489i
$185$	9.16704	+	3.32399i	0.673974	+	0.244385i
$186$	11.2286	+	1.66649i	0.823321	+	0.122193i
$187$	1.94364	−	0.805082i	0.142133	−	0.0588735i
$188$	−1.99856	+	6.58470i	−0.145760	+	0.480239i
$189$	−1.43576	−	3.46623i	−0.104436	−	0.252131i
$190$	−22.2281	−	2.28633i	−1.61259	−	0.165868i
$191$			9.99879i			0.723487i	0.932278	+	0.361744i	$0.117818\pi$
$191$			9.99879i			0.723487i	−0.932278	+	0.361744i	$0.882182\pi$
$192$	−20.5472	−	10.9949i	−1.48287	−	0.793490i
$193$	−6.77859	−	6.77859i	−0.487933	−	0.487933i	0.419720	−	0.907654i	$-0.362128\pi$
$193$	−6.77859	−	6.77859i	−0.487933	−	0.487933i	−0.907654	+	0.419720i	$0.862128\pi$
$194$	9.98022	−	16.6481i	0.716538	−	1.19526i
$195$	−23.0429	+	1.03398i	−1.65014	+	0.0740447i
$196$	11.8743	−	6.34457i	0.848162	−	0.453184i
$197$	−1.32330	−	3.19473i	−0.0942814	−	0.227615i	0.869702	−	0.493576i	$-0.164311\pi$
$197$	−1.32330	−	3.19473i	−0.0942814	−	0.227615i	−0.963984	+	0.265961i	$0.914311\pi$
$198$	−35.4145	+	26.2610i	−2.51680	+	1.86628i
$199$	−7.85072	−	7.85072i	−0.556523	−	0.556523i	0.371793	−	0.928316i	$-0.378743\pi$
$199$	−7.85072	−	7.85072i	−0.556523	−	0.556523i	−0.928316	+	0.371793i	$0.878743\pi$
$200$	10.3954	+	9.58832i	0.735065	+	0.677996i
$201$	−7.12927	+	7.12927i	−0.502860	+	0.502860i
$202$	0.00616732	−	0.0415546i	0.000433931	−	0.00292377i
$203$	0.346283	−	0.143435i	0.0243043	−	0.0100672i
$204$	−1.36841	+	1.66689i	−0.0958081	+	0.116706i
$205$	0.728693	+	16.2394i	0.0508941	+	1.13421i
$206$	20.7118	−	5.18634i	1.44306	−	0.361349i
$207$	−7.11582	+	7.11582i	−0.494584	+	0.494584i
$208$	−7.86589	−	11.7800i	−0.545401	−	0.816796i
$209$	−40.1588			−2.77784
$210$	−3.70288	+	3.01218i	−0.255523	+	0.207860i
$211$	−15.1889	+	6.29147i	−1.04565	+	0.433122i	−0.838337	−	0.545152i	$-0.816472\pi$
$211$	−15.1889	+	6.29147i	−1.04565	+	0.433122i	−0.207313	+	0.978275i	$0.566472\pi$
$212$	4.72540	+	3.87925i	0.324542	+	0.266428i
$213$	−16.7421	−	40.4191i	−1.14715	−	2.76947i
$214$	−10.9939	−	14.8259i	−0.751526	−	1.01348i
$215$	1.04559	−	2.88356i	0.0713083	−	0.196657i
$216$	8.76016	−	18.5107i	0.596053	−	1.25949i
$217$	1.42785			0.0969286
$218$	14.6286	−	10.8476i	0.990777	−	0.734692i
$219$	1.26721	−	3.05932i	0.0856303	−	0.206730i
$220$	20.3476	+	15.2300i	1.37183	+	1.02681i
$221$	−1.21108	+	0.501645i	−0.0814659	+	0.0337443i
$222$	−17.4268	+	4.36375i	−1.16961	+	0.292876i
$223$	−6.21795	+	6.21795i	−0.416385	+	0.416385i	−0.883956	−	0.467571i	$-0.845129\pi$
$223$	−6.21795	+	6.21795i	−0.416385	+	0.416385i	0.467571	+	0.883956i	$0.345129\pi$
$224$	−2.75953	−	0.988577i	−0.184379	−	0.0660521i
$225$	−17.5794	+	21.0534i	−1.17196	+	1.40356i
$226$	−2.10987	+	3.51950i	−0.140347	+	0.234113i
$227$	−0.199188	−	0.0825062i	−0.0132205	−	0.00547613i	0.376063	−	0.926594i	$-0.377277\pi$
$227$	−0.199188	−	0.0825062i	−0.0132205	−	0.00547613i	−0.389284	+	0.921118i	$0.627277\pi$
$228$	36.3097	−	19.4007i	2.40467	−	1.28485i
$229$	25.1405	+	10.4135i	1.66133	+	0.688145i	0.998178	−	0.0603414i	$-0.0192189\pi$
$229$	25.1405	+	10.4135i	1.66133	+	0.688145i	0.663151	+	0.748486i	$0.269219\pi$
$230$	5.10436	+	2.75677i	0.336571	+	0.181776i
$231$	−6.06594	+	6.06594i	−0.399110	+	0.399110i
$232$	1.84925	+	0.875154i	0.121409	+	0.0574567i
$233$	9.67544			0.633859			0.316929	−	0.948449i	$-0.397348\pi$
$233$	9.67544			0.633859			0.316929	+	0.948449i	$0.397348\pi$
$234$	22.0667	−	16.3631i	1.44254	−	1.06969i
$235$	0.344876	+	7.68581i	0.0224972	+	0.501367i
$236$	0.810438	+	8.24154i	0.0527550	+	0.536479i
$237$	23.2249	+	9.62008i	1.50862	+	0.624891i
$238$	−0.139479	+	0.232666i	−0.00904107	+	0.0150815i
$239$		−	6.17544i		−	0.399456i	−0.979851	−	0.199728i	$-0.935994\pi$
$239$		−	6.17544i		−	0.399456i	0.979851	−	0.199728i	$-0.0640058\pi$
$240$	−25.7550	−	3.94034i	−1.66248	−	0.254348i
$241$		−	2.29443i		−	0.147797i	−0.997266	−	0.0738987i	$-0.976456\pi$
$241$		−	2.29443i		−	0.147797i	0.997266	−	0.0738987i	$-0.0235441\pi$
$242$	25.8345	+	15.4873i	1.66071	+	0.995563i
$243$	−7.59484	−	3.14589i	−0.487210	−	0.201809i
$244$	9.79247	−	11.9284i	0.626899	−	0.763638i
$245$	10.1556	−	11.1098i	0.648818	−	0.709781i
$246$	−17.8386	−	24.0564i	−1.13735	−	1.53378i
$247$	25.0228			1.59216
$248$	5.23263	+	5.77601i	0.332273	+	0.366777i
$249$	−15.3339	+	15.3339i	−0.971744	+	0.971744i
$250$	14.5291	+	6.23744i	0.918900	+	0.394490i
$251$	−10.5288	−	4.36117i	−0.664571	−	0.275275i	0.0247893	−	0.999693i	$-0.492109\pi$
$251$	−10.5288	−	4.36117i	−0.664571	−	0.275275i	−0.689361	+	0.724418i	$0.742109\pi$
$252$	1.65111	−	5.43995i	0.104010	−	0.342684i
$253$	9.63227	+	3.98982i	0.605576	+	0.250838i
$254$	18.0489	+	10.8200i	1.13249	+	0.678905i
$255$	−0.821938	+	2.26678i	−0.0514718	+	0.141951i
$256$	−6.11382	−	14.7858i	−0.382113	−	0.924115i
$257$	−6.62841	+	6.62841i	−0.413469	+	0.413469i	−0.882945	−	0.469476i	$-0.844443\pi$
$257$	−6.62841	+	6.62841i	−0.413469	+	0.413469i	0.469476	+	0.882945i	$0.344443\pi$
$258$	1.37265	+	5.48172i	0.0854574	+	0.341277i
$259$	−2.08768	+	0.864743i	−0.129722	+	0.0537325i
$260$	−12.6785	−	9.48978i	−0.786288	−	0.588531i
$261$	−1.51843	+	3.66582i	−0.0939885	+	0.226908i
$262$	−0.931169	−	1.25574i	−0.0575278	−	0.0775798i
$263$	10.1364			0.625038			0.312519	−	0.949912i	$-0.398827\pi$
$263$	10.1364			0.625038			0.312519	+	0.949912i	$0.398827\pi$
$264$	−46.7681	−	2.30842i	−2.87838	−	0.142073i
$265$	6.42598	+	2.33008i	0.394745	+	0.143135i
$266$	4.15944	−	3.08435i	0.255031	−	0.189114i
$267$	2.05166	+	4.95314i	0.125559	+	0.303127i
$268$	−6.88907	+	0.677442i	−0.420817	+	0.0413813i
$269$	−18.8399	+	7.80375i	−1.14869	+	0.475803i	−0.874094	−	0.485757i	$-0.838544\pi$
$269$	−18.8399	+	7.80375i	−1.14869	+	0.475803i	−0.274596	+	0.961560i	$0.588544\pi$
$270$	2.34269	−	22.7760i	0.142572	−	1.38610i
$271$	−27.9586			−1.69836			−0.849182	−	0.528101i	$-0.822904\pi$
$271$	−27.9586			−1.69836			−0.849182	+	0.528101i	$0.822904\pi$
$272$	−1.45234	+	0.288422i	−0.0880610	+	0.0174882i
$273$	3.77968	−	3.77968i	0.228756	−	0.228756i
$274$	2.94929	+	11.7781i	0.178173	+	0.711540i
$275$	27.1214	+	8.47934i	1.63548	+	0.511323i
$276$	−10.6365	+	1.04595i	−0.640244	+	0.0629589i
$277$	16.4317	−	6.80625i	0.987287	−	0.408948i	0.170167	−	0.985415i	$-0.445569\pi$
$277$	16.4317	−	6.80625i	0.987287	−	0.408948i	0.817120	+	0.576468i	$0.195569\pi$
$278$	−4.00138	−	0.593864i	−0.239987	−	0.0356176i
$279$	−10.6883	+	10.6883i	−0.639890	+	0.639890i
$280$	−3.27722	−	0.0146722i	−0.195851	−	0.000876830i
$281$	−1.19544	−	1.19544i	−0.0713139	−	0.0713139i	0.670550	−	0.741864i	$-0.266058\pi$
$281$	−1.19544	−	1.19544i	−0.0713139	−	0.0713139i	−0.741864	+	0.670550i	$0.766058\pi$
$282$	−8.44264	−	11.3854i	−0.502752	−	0.677992i
$283$	3.96837	+	9.58050i	0.235895	+	0.569502i	0.996851	−	0.0793027i	$-0.0252694\pi$
$283$	3.96837	+	9.58050i	0.235895	+	0.569502i	−0.760955	+	0.648804i	$0.775269\pi$
$284$	8.72381	−	28.7426i	0.517663	−	1.70556i
$285$	31.0543	−	33.9722i	1.83950	−	2.01234i
$286$	−24.4111	−	14.6340i	−1.44346	−	0.865328i
$287$	−2.66372	−	2.66372i	−0.157234	−	0.157234i
$288$	28.0568	−	13.2566i	1.65326	−	0.781154i
$289$		−	16.8630i		−	0.991939i
$290$	2.27536	+	0.234039i	0.133614	+	0.0137432i
$291$	15.3003	+	36.9381i	0.896918	+	2.16535i
$292$	2.00524	−	1.07142i	0.117348	−	0.0627003i
$293$	−19.6216	+	8.12752i	−1.14630	+	0.474815i	−0.873293	−	0.487196i	$-0.838020\pi$
$293$	−19.6216	+	8.12752i	−1.14630	+	0.474815i	−0.273011	+	0.962011i	$0.588020\pi$
$294$	−4.07110	+	27.4306i	−0.237432	+	1.59978i
$295$	3.92306	+	8.38656i	0.228409	+	0.488284i
$296$	−11.1488	−	5.27615i	−0.648011	−	0.306670i
$297$		−	41.1487i		−	2.38769i
$298$	−3.13069	+	21.0942i	−0.181356	+	1.22195i
$299$	−6.00184	−	2.48605i	−0.347096	−	0.143772i
$300$	−28.6183	+	5.43576i	−1.65228	+	0.313834i
$301$	0.272011	+	0.656694i	0.0156785	+	0.0378512i
$302$	16.4745	+	9.87614i	0.947999	+	0.568308i
$303$	0.0611872	+	0.0611872i	0.00351511	+	0.00351511i
$304$	27.7201	+	5.52275i	1.58985	+	0.316752i
$305$	5.88185	−	16.2212i	0.336794	−	0.928824i
$306$	−0.697557	−	2.78571i	−0.0398767	−	0.159249i
$307$	0.345772	−	0.834766i	0.0197342	−	0.0476426i	−0.913705	−	0.406378i	$-0.866792\pi$
$307$	0.345772	−	0.834766i	0.0197342	−	0.0476426i	0.933439	+	0.358735i	$0.116792\pi$
$308$	−5.86157	+	0.576401i	−0.333994	+	0.0328435i
$309$	−16.8302	+	40.6316i	−0.957434	+	2.31145i
$310$	7.66696	+	4.14079i	0.435454	+	0.235181i
$311$	−0.0408709	−	0.0408709i	−0.00231758	−	0.00231758i	0.705947	−	0.708265i	$-0.250522\pi$
$311$	−0.0408709	−	0.0408709i	−0.00231758	−	0.00231758i	−0.708265	+	0.705947i	$0.750522\pi$
$312$	29.1411	+	1.43837i	1.64979	+	0.0814316i
$313$			9.89815i			0.559476i	0.960076	+	0.279738i	$0.0902476\pi$
$313$			9.89815i			0.559476i	−0.960076	+	0.279738i	$0.909752\pi$
$314$	3.95189	−	26.6273i	0.223018	−	1.50267i
$315$	−0.284919	−	6.34963i	−0.0160534	−	0.357761i
$316$	8.13374	+	15.2228i	0.457559	+	0.856350i
$317$	1.71698	−	4.14516i	0.0964353	−	0.232816i	−0.868299	−	0.496041i	$-0.834786\pi$
$317$	1.71698	−	4.14516i	0.0964353	−	0.232816i	0.964734	+	0.263226i	$0.0847864\pi$
$318$	−12.2159	+	3.05893i	−0.685036	+	0.171537i
$319$	4.11082			0.230162
$320$	−11.9507	−	13.3110i	−0.668063	−	0.744105i
$321$	38.0184			2.12198
$322$	−1.30409	+	0.326552i	−0.0726743	+	0.0181980i
$323$	1.00100	−	2.41663i	0.0556971	−	0.134465i
$324$	4.36822	+	8.17539i	0.242679	+	0.454188i
$325$	−16.8993	−	5.28346i	−0.937404	−	0.293073i
$326$	1.78080	−	11.9988i	0.0986296	−	0.664554i
$327$			37.5125i			2.07445i
$328$	1.01369	−	20.5371i	0.0559715	−	1.13397i
$329$	−1.26068	−	1.26068i	−0.0695038	−	0.0695038i
$330$	−50.1630	+	14.9803i	−2.76138	+	0.824638i
$331$	9.81757	−	23.7017i	0.539623	−	1.30276i	−0.385364	−	0.922765i	$-0.625924\pi$
$331$	9.81757	−	23.7017i	0.539623	−	1.30276i	0.924987	−	0.380000i	$-0.124076\pi$
$332$	−14.8172	+	1.45706i	−0.813201	+	0.0799667i
$333$	9.15435	−	22.1006i	0.501655	−	1.21110i
$334$	6.07346	+	24.2546i	0.332325	+	1.32715i
$335$	−7.01029	+	3.27927i	−0.383013	+	0.179166i
$336$	5.02130	−	3.35288i	0.273934	−	0.182915i
$337$	−20.8519	−	20.8519i	−1.13587	−	1.13587i	−0.989182	−	0.146692i	$-0.953137\pi$
$337$	−20.8519	−	20.8519i	−1.13587	−	1.13587i	−0.146692	−	0.989182i	$-0.546863\pi$
$338$	−0.557906	−	0.334454i	−0.0303461	−	0.0181919i
$339$	−3.23456	−	7.80892i	−0.175677	−	0.424122i
$340$	−1.42368	+	0.844828i	−0.0772098	+	0.0458172i
$341$	14.4681	+	5.99287i	0.783490	+	0.324532i
$342$	−8.04763	+	54.2239i	−0.435166	+	2.93209i
$343$			7.11537i			0.384194i
$344$	−1.65965	+	3.50694i	−0.0894824	+	0.189081i
$345$	−10.8237	+	5.06310i	−0.582728	+	0.272588i
$346$	−1.29836	+	8.74820i	−0.0698004	+	0.470306i
$347$	20.9229	−	8.66654i	1.12320	−	0.465244i	0.257735	−	0.966216i	$-0.417024\pi$
$347$	20.9229	−	8.66654i	1.12320	−	0.465244i	0.865464	+	0.500971i	$0.167024\pi$
$348$	−3.71681	+	1.98594i	−0.199242	+	0.106458i
$349$	7.10680	+	17.1573i	0.380418	+	0.918411i	0.991885	+	0.127141i	$0.0405800\pi$
$349$	7.10680	+	17.1573i	0.380418	+	0.918411i	−0.611466	+	0.791270i	$0.709420\pi$
$350$	−3.46034	+	1.20479i	−0.184963	+	0.0643985i
$351$			25.6396i			1.36854i
$352$	−23.8126	−	21.5992i	−1.26921	−	1.15124i
$353$	16.3865	+	16.3865i	0.872165	+	0.872165i	0.992708	−	0.120544i	$-0.0384637\pi$
$353$	16.3865	+	16.3865i	0.872165	+	0.872165i	−0.120544	+	0.992708i	$0.538464\pi$
$354$	−14.6303	−	8.77059i	−0.777591	−	0.466152i
$355$	−1.50540	−	33.5490i	−0.0798986	−	1.78060i
$356$	−1.06905	+	3.52225i	−0.0566598	+	0.186679i
$357$	−0.213829	−	0.516229i	−0.0113170	−	0.0273218i
$358$	−0.807302	−	1.08870i	−0.0426672	−	0.0575394i
$359$	19.9251	+	19.9251i	1.05161	+	1.05161i	0.998594	+	0.0530115i	$0.0168820\pi$
$359$	19.9251	+	19.9251i	1.05161	+	1.05161i	0.0530115	+	0.998594i	$0.483118\pi$
$360$	24.6417	−	24.4220i	1.29873	−	1.28715i
$361$	−21.8718	+	21.8718i	−1.15115	+	1.15115i
$362$	−23.3662	−	3.46789i	−1.22810	−	0.182268i
$363$	−57.3206	+	23.7430i	−3.00855	+	1.24618i
$364$	3.65233	−	0.359154i	0.191434	−	0.0188248i
$365$	1.71500	−	1.87614i	0.0897673	−	0.0982019i
$366$	7.72172	+	30.8369i	0.403621	+	1.61187i
$367$	4.38625	−	4.38625i	0.228960	−	0.228960i	−0.583298	−	0.812258i	$-0.698238\pi$
$367$	4.38625	−	4.38625i	0.228960	−	0.228960i	0.812258	+	0.583298i	$0.198238\pi$
$368$	−6.10010	−	4.07868i	−0.317990	−	0.212616i
$369$	39.8789			2.07601
$370$	−13.7177	−	1.41098i	−0.713151	−	0.0733533i
$371$	−1.46343	+	0.606175i	−0.0759777	+	0.0314710i
$372$	−15.9765	+	1.57106i	−0.828344	+	0.0814558i
$373$	11.4951	+	27.7516i	0.595194	+	1.43693i	0.878428	+	0.477875i	$0.158593\pi$
$373$	11.4951	+	27.7516i	0.595194	+	1.43693i	−0.283234	+	0.959051i	$0.591407\pi$
$374$	−2.38984	+	1.77214i	−0.123576	+	0.0916351i
$375$	−28.1457	+	16.3863i	−1.45344	+	0.846185i
$376$	0.479758	−	9.71982i	0.0247416	−	0.501261i
$377$	−2.56144			−0.131921
$378$	3.16038	+	4.26197i	0.162552	+	0.219212i
$379$	6.04785	−	14.6008i	0.310657	−	0.749992i	−0.689024	−	0.724738i	$-0.741961\pi$
$379$	6.04785	−	14.6008i	0.310657	−	0.749992i	0.999681	−	0.0252539i	$-0.00803941\pi$
$380$	31.2791	−	4.49926i	1.60459	−	0.230807i
$381$	−40.0461	+	16.5876i	−2.05162	+	0.849810i
$382$	−3.43479	−	13.7169i	−0.175739	−	0.701819i
$383$	16.9638	−	16.9638i	0.866811	−	0.866811i	−0.125307	−	0.992118i	$-0.539991\pi$
$383$	16.9638	−	16.9638i	0.866811	−	0.866811i	0.992118	+	0.125307i	$0.0399915\pi$
$384$	31.9648	+	8.02510i	1.63120	+	0.409529i
$385$	−5.96470	+	2.79017i	−0.303989	+	0.142200i
$386$	11.6278	+	6.97068i	0.591841	+	0.354798i
$387$	−6.95189	−	2.87957i	−0.353384	−	0.146377i
$388$	−7.97249	+	26.2672i	−0.404742	+	1.33352i
$389$	−18.9479	−	7.84847i	−0.960696	−	0.397933i	−0.153455	−	0.988156i	$-0.549040\pi$
$389$	−18.9479	−	7.84847i	−0.960696	−	0.397933i	−0.807241	+	0.590222i	$0.799040\pi$
$390$	31.2564	−	9.33418i	1.58273	−	0.472655i
$391$	−0.480189	+	0.480189i	−0.0242842	+	0.0242842i
$392$	−14.1103	+	12.7829i	−0.712679	+	0.645634i
$393$	3.22012			0.162433
$394$	2.91284	+	3.92814i	0.146747	+	0.197897i
$395$	14.2428	+	13.0195i	0.716633	+	0.655082i
$396$	39.5625	−	48.1919i	1.98809	−	2.42173i
$397$	−2.99662	−	1.24124i	−0.150396	−	0.0622960i	0.306216	−	0.951962i	$-0.400937\pi$
$397$	−2.99662	−	1.24124i	−0.150396	−	0.0622960i	−0.456612	+	0.889666i	$0.650937\pi$
$398$	13.4669	+	8.07319i	0.675037	+	0.404672i
$399$			10.6661i			0.533974i
$400$	−17.5548	−	9.58278i	−0.877739	−	0.479139i
$401$			28.0885i			1.40267i	0.712830	+	0.701337i	$0.247413\pi$
$401$			28.0885i			1.40267i	−0.712830	+	0.701337i	$0.752587\pi$
$402$	7.33130	−	12.2294i	0.365652	−	0.609947i
$403$	−9.01502	−	3.73415i	−0.449070	−	0.186011i
$404$	0.00581416	+	0.0591257i	0.000289265	+	0.00294161i
$405$	7.64908	+	6.99210i	0.380086	+	0.347440i
$406$	−0.425778	+	0.315727i	−0.0211310	+	0.0156693i
$407$	−24.7834			−1.22847
$408$	1.30466	−	2.75682i	0.0645902	−	0.136483i
$409$	19.0544	−	19.0544i	0.942181	−	0.942181i	−0.0562365	−	0.998417i	$-0.517910\pi$
$409$	19.0544	−	19.0544i	0.942181	−	0.942181i	0.998417	+	0.0562365i	$0.0179101\pi$
$410$	−6.57824	−	22.0279i	−0.324876	−	1.08788i
$411$	−23.1058	−	9.57074i	−1.13973	−	0.472090i
$412$	−26.6320	+	14.2298i	−1.31207	+	0.701054i
$413$	−1.98227	−	0.821084i	−0.0975413	−	0.0404029i
$414$	7.31747	−	12.2063i	0.359634	−	0.599908i
$415$	−15.0779	+	7.05316i	−0.740147	+	0.346226i
$416$	14.8376	+	13.4584i	0.727471	+	0.659852i
$417$	5.89184	−	5.89184i	0.288525	−	0.288525i
$418$	55.0921	−	13.7953i	2.69464	−	0.674752i
$419$	3.04245	−	1.26023i	0.148634	−	0.0615660i	−0.307127	−	0.951669i	$-0.599367\pi$
$419$	3.04245	−	1.26023i	0.148634	−	0.0615660i	0.455760	+	0.890103i	$0.349367\pi$
$420$	4.04508	−	5.40429i	0.197380	−	0.263703i
$421$	10.3312	−	24.9417i	0.503511	−	1.21558i	−0.444049	−	0.896003i	$-0.646458\pi$
$421$	10.3312	−	24.9417i	0.503511	−	1.21558i	0.947559	−	0.319580i	$-0.103542\pi$
$422$	18.6758	−	13.8487i	0.909125	−	0.674144i
$423$	18.8739			0.917680
$424$	−7.81518	−	3.69852i	−0.379539	−	0.179616i
$425$	−1.18629	+	1.42072i	−0.0575435	+	0.0689153i
$426$	36.8526	+	49.6980i	1.78552	+	2.40788i
$427$	1.53018	+	3.69417i	0.0740505	+	0.178774i
$428$	20.1750	+	16.5624i	0.975197	+	0.800575i
$429$	54.1624	−	22.4348i	2.61499	−	1.08316i
$430$	−0.443834	+	4.31501i	−0.0214036	+	0.208088i
$431$	−22.4818			−1.08291			−0.541456	−	0.840729i	$-0.682127\pi$
$431$	−22.4818			−1.08291			−0.541456	+	0.840729i	$0.682127\pi$
$432$	−5.65889	+	28.4034i	−0.272263	+	1.36656i
$433$	8.02729	−	8.02729i	0.385767	−	0.385767i	−0.487408	−	0.873175i	$-0.662057\pi$
$433$	8.02729	−	8.02729i	0.385767	−	0.385767i	0.873175	+	0.487408i	$0.162057\pi$
$434$	−1.95880	+	0.490494i	−0.0940256	+	0.0235445i
$435$	−3.17885	+	3.47753i	−0.152414	+	0.166735i
$436$	−16.3421	+	19.9066i	−0.782642	+	0.953353i
$437$	11.9763	−	4.96074i	0.572904	−	0.237304i
$438$	−0.687497	+	4.63227i	−0.0328499	+	0.221338i
$439$	−8.81852	+	8.81852i	−0.420885	+	0.420885i	−0.885508	−	0.464623i	$-0.846190\pi$
$439$	−8.81852	+	8.81852i	−0.420885	+	0.420885i	0.464623	+	0.885508i	$0.346190\pi$
$440$	−33.1458	−	13.9036i	−1.58016	−	0.662829i
$441$	−26.1106	−	26.1106i	−1.24336	−	1.24336i
$442$	1.48910	−	1.10422i	0.0708294	−	0.0525222i
$443$	−9.69919	−	23.4159i	−0.460822	−	1.11252i	−0.968060	−	0.250718i	$-0.919333\pi$
$443$	−9.69919	−	23.4159i	−0.460822	−	1.11252i	0.507238	−	0.861806i	$-0.330667\pi$
$444$	22.4080	−	11.9729i	1.06344	−	0.568208i
$445$	0.184479	+	4.11124i	0.00874514	+	0.194892i
$446$	6.39415	−	10.6661i	0.302772	−	0.505056i
$447$	−31.0602	−	31.0602i	−1.46910	−	1.46910i
$448$	4.12528	+	0.408232i	0.194901	+	0.0192872i
$449$		−	36.9904i		−	1.74569i	−0.488000	−	0.872844i	$-0.662273\pi$
$449$		−	36.9904i		−	1.74569i	0.488000	−	0.872844i	$-0.337727\pi$
$450$	16.8841	−	34.9212i	0.795926	−	1.64620i
$451$	−15.8109	−	38.1708i	−0.744505	−	1.79739i
$452$	1.68543	−	5.55303i	0.0792759	−	0.261193i
$453$	−36.5529	+	15.1407i	−1.71740	+	0.711372i
$454$	0.301600	+	0.0447619i	0.0141548	+	0.00210078i
$455$	3.71659	−	1.73855i	0.174237	−	0.0815044i
$456$	−43.1472	+	39.0882i	−2.02055	+	1.83047i
$457$			38.8029i			1.81512i	0.419917	+	0.907562i	$0.362059\pi$
$457$			38.8029i			1.81512i	−0.419917	+	0.907562i	$0.637941\pi$
$458$	−38.0664	−	5.64962i	−1.77873	−	0.263989i
$459$	2.47620	+	1.02567i	0.115579	+	0.0478744i
$460$	−7.94946	−	2.02845i	−0.370645	−	0.0945769i
$461$	−8.89289	−	21.4693i	−0.414183	−	0.999926i	−0.984002	−	0.178156i	$-0.942987\pi$
$461$	−8.89289	−	21.4693i	−0.414183	−	0.999926i	0.569819	−	0.821770i	$-0.307013\pi$
$462$	6.23784	−	10.4054i	0.290211	−	0.484102i
$463$	−2.77748	−	2.77748i	−0.129081	−	0.129081i	0.639615	−	0.768695i	$-0.279094\pi$
$463$	−2.77748	−	2.77748i	−0.129081	−	0.129081i	−0.768695	+	0.639615i	$0.779094\pi$
$464$	−2.83754	−	0.565332i	−0.131730	−	0.0262449i
$465$	−16.2576	+	7.60500i	−0.753930	+	0.352673i
$466$	−13.2733	+	3.32371i	−0.614875	+	0.153968i
$467$	10.7899	−	26.0490i	0.499295	−	1.20540i	−0.450569	−	0.892741i	$-0.648779\pi$
$467$	10.7899	−	26.0490i	0.499295	−	1.20540i	0.949864	−	0.312663i	$-0.101221\pi$
$468$	−24.6513	+	30.0283i	−1.13951	+	1.38806i
$469$	0.686341	−	1.65697i	0.0316923	−	0.0765119i
$470$	−3.11335	−	10.4254i	−0.143608	−	0.480886i
$471$	39.2074	+	39.2074i	1.80658	+	1.80658i
$472$	−3.94294	−	11.0278i	−0.181489	−	0.507597i
$473$			7.79580i			0.358451i
$474$	−35.1660	−	5.21915i	−1.61523	−	0.239724i
$475$	31.2995	−	16.3898i	1.43612	−	0.752015i
$476$	0.111420	−	0.367098i	0.00510692	−	0.0168259i
$477$	6.41709	−	15.4922i	0.293818	−	0.709340i
$478$	2.12139	+	8.47182i	0.0970299	+	0.387492i
$479$	12.1628			0.555731			0.277866	−	0.960620i	$-0.410373\pi$
$479$	12.1628			0.555731			0.277866	+	0.960620i	$0.410373\pi$
$480$	36.6857	−	3.44176i	1.67447	−	0.157094i
$481$	15.4425			0.704117
$482$	0.788183	+	3.14763i	0.0359008	+	0.143371i
$483$	1.05969	−	2.55832i	0.0482176	−	0.116408i
$484$	−40.7615	−	12.3717i	−1.85280	−	0.562352i
$485$	1.37576	+	30.6597i	0.0624698	+	1.39218i
$486$	11.4997	+	1.70673i	0.521638	+	0.0774188i
$487$		−	27.2448i		−	1.23458i	−0.786736	−	0.617290i	$-0.788231\pi$
$487$		−	27.2448i		−	1.23458i	0.786736	−	0.617290i	$-0.211769\pi$
$488$	−9.33623	+	19.7280i	−0.422631	+	0.893044i
$489$	17.6677	+	17.6677i	0.798961	+	0.798961i
$490$	−10.1156	+	18.7298i	−0.456977	+	0.846125i
$491$	−9.80191	+	23.6639i	−0.442354	+	1.06794i	0.532767	+	0.846262i	$0.321152\pi$
$491$	−9.80191	+	23.6639i	−0.442354	+	1.06794i	−0.975121	+	0.221675i	$0.928848\pi$
$492$	32.7358	+	26.8741i	1.47585	+	1.21158i
$493$	−0.102467	+	0.247376i	−0.00461486	+	0.0111413i
$494$	−34.3278	+	8.59585i	−1.54448	+	0.386745i
$495$	23.7632	−	65.5353i	1.06808	−	2.94559i
$496$	−9.16260	−	6.12634i	−0.411413	−	0.275081i
$497$	5.50296	+	5.50296i	0.246842	+	0.246842i
$498$	15.7684	−	26.3034i	0.706599	−	1.17868i
$499$	9.41086	+	22.7198i	0.421288	+	1.01708i	0.981968	+	0.189047i	$0.0605398\pi$
$499$	9.41086	+	22.7198i	0.421288	+	1.01708i	−0.560680	+	0.828033i	$0.689460\pi$
$500$	−22.0745	−	3.56585i	−0.987203	−	0.159470i
$501$	−47.5816	−	19.7090i	−2.12579	−	0.880532i
$502$	15.9422	+	2.36605i	0.711533	+	0.105602i
$503$		−	38.7327i		−	1.72701i	−0.504342	−	0.863504i	$-0.668265\pi$
$503$		−	38.7327i		−	1.72701i	0.504342	−	0.863504i	$-0.331735\pi$
$504$	−0.396352	+	8.03002i	−0.0176549	+	0.357686i
$505$	0.0281444	+	0.0601660i	0.00125241	+	0.00267735i
$506$	−14.5847	−	2.16458i	−0.648368	−	0.0962275i
$507$	1.23786	−	0.512738i	0.0549753	−	0.0227715i
$508$	−28.4773	−	8.64330i	−1.26348	−	0.383484i
$509$	11.2546	+	27.1711i	0.498852	+	1.20434i	0.950102	+	0.311938i	$0.100978\pi$
$509$	11.2546	+	27.1711i	0.498852	+	1.20434i	−0.451250	+	0.892398i	$0.649022\pi$
$510$	0.348899	−	3.39205i	0.0154495	−	0.150202i
$511$			0.589047i			0.0260579i
$512$	13.4665	+	18.1839i	0.595142	+	0.803621i
$513$	−36.1772	−	36.1772i	−1.59726	−	1.59726i
$514$	6.81624	−	11.3702i	0.300652	−	0.501519i
$515$	−22.7774	+	24.9175i	−1.00369	+	1.09800i
$516$	−3.76616	−	7.04860i	−0.165796	−	0.310297i
$517$	−7.48298	−	18.0655i	−0.329101	−	0.794520i
$518$	2.56694	−	1.90346i	0.112785	−	0.0836334i
$519$	−12.8813	−	12.8813i	−0.565426	−	0.565426i
$520$	20.6531	+	8.66331i	0.905697	+	0.379911i
$521$	31.2483	−	31.2483i	1.36901	−	1.36901i	0.507161	−	0.861851i	$-0.330695\pi$
$521$	31.2483	−	31.2483i	1.36901	−	1.36901i	0.861851	−	0.507161i	$-0.169305\pi$
$522$	0.823790	−	5.55059i	0.0360563	−	0.242943i
$523$	8.37786	−	3.47022i	0.366338	−	0.151742i	−0.191918	−	0.981411i	$-0.561471\pi$
$523$	8.37786	−	3.47022i	0.366338	−	0.151742i	0.558256	+	0.829669i	$0.311471\pi$
$524$	1.70880	+	1.40282i	0.0746494	+	0.0612824i
$525$	2.25210	−	7.20342i	0.0982899	−	0.314383i
$526$	−13.9057	+	3.48206i	−0.606318	+	0.151825i
$527$	−0.721264	+	0.721264i	−0.0314188	+	0.0314188i
$528$	64.9522	−	12.8990i	2.82668	−	0.561356i
$529$	19.6346			0.853677
$530$	−9.61596	−	0.989079i	−0.417691	−	0.0429628i
$531$	20.9847	−	8.69216i	0.910660	−	0.377208i
$532$	−4.64662	+	5.66014i	−0.201457	+	0.245398i
$533$	9.85172	+	23.7842i	0.426726	+	1.03021i
$534$	−4.51608	−	6.09022i	−0.195430	−	0.263549i
$535$	27.4357	+	9.94823i	1.18615	+	0.430100i
$536$	9.21811	−	3.29589i	0.398162	−	0.142361i
$537$	2.79177			0.120474
$538$	23.1649	−	17.1775i	0.998712	−	0.740576i
$539$	−14.6401	+	35.3443i	−0.630594	+	1.52239i
$540$	4.61017	+	32.0502i	0.198390	+	1.37922i
$541$	4.25739	−	1.76347i	0.183040	−	0.0758175i	−0.289281	−	0.957244i	$-0.593416\pi$
$541$	4.25739	−	1.76347i	0.183040	−	0.0758175i	0.472321	+	0.881427i	$0.343416\pi$
$542$	38.3552	−	9.60434i	1.64750	−	0.412542i
$543$	34.4056	−	34.4056i	1.47648	−	1.47648i
$544$	1.89332	−	0.894582i	0.0811756	−	0.0383549i
$545$	−9.81586	+	27.0706i	−0.420465	+	1.15958i
$546$	−3.88678	+	6.48357i	−0.166339	+	0.277471i
$547$	12.5904	+	5.21510i	0.538325	+	0.222982i	0.635245	−	0.772311i	$-0.280899\pi$
$547$	12.5904	+	5.21510i	0.538325	+	0.222982i	−0.0969200	+	0.995292i	$0.530899\pi$
$548$	−8.09202	−	15.1447i	−0.345674	−	0.646951i
$549$	−39.1073	−	16.1988i	−1.66906	−	0.691346i
$550$	−40.1196	−	2.31569i	−1.71070	−	0.0987415i
$551$	3.61416	−	3.61416i	0.153968	−	0.153968i
$552$	14.2325	−	5.08876i	0.605776	−	0.216592i
$553$	−4.47177			−0.190159
$554$	−20.2039	+	14.9818i	−0.858382	+	0.636517i
$555$	19.1647	−	20.9654i	0.813497	−	0.889933i
$556$	5.69333	−	0.559858i	0.241451	−	0.0237433i
$557$	−26.3283	−	10.9055i	−1.11557	−	0.462082i	−0.252715	−	0.967541i	$-0.581323\pi$
$557$	−26.3283	−	10.9055i	−1.11557	−	0.462082i	−0.862851	+	0.505458i	$0.831323\pi$
$558$	10.9911	−	18.3344i	0.465292	−	0.776158i
$559$		−	4.85755i		−	0.205452i
$560$	4.50092	−	1.10566i	0.190199	−	0.0467228i
$561$		−	6.12831i		−	0.258737i
$562$	2.05063	+	1.22931i	0.0865005	+	0.0518555i
$563$	27.1900	+	11.2625i	1.14592	+	0.474656i	0.873164	−	0.487426i	$-0.162064\pi$
$563$	27.1900	+	11.2625i	1.14592	+	0.474656i	0.272758	+	0.962083i	$0.412064\pi$
$564$	15.4932	+	12.7190i	0.652383	+	0.535565i
$565$	−0.290842	−	6.48163i	−0.0122358	−	0.272684i
$566$	−8.73514	−	11.7799i	−0.367165	−	0.495145i
$567$	−2.40156			−0.100856
$568$	−2.09417	+	42.4276i	−0.0878695	+	1.78022i
$569$	−4.15504	+	4.15504i	−0.174188	+	0.174188i	−0.788817	−	0.614628i	$-0.789306\pi$
$569$	−4.15504	+	4.15504i	−0.174188	+	0.174188i	0.614628	+	0.788817i	$0.289306\pi$
$570$	−30.9320	+	57.2728i	−1.29560	+	2.39889i
$571$	11.9570	+	4.95277i	0.500387	+	0.207267i	0.618577	−	0.785724i	$-0.287709\pi$
$571$	11.9570	+	4.95277i	0.500387	+	0.207267i	−0.118191	+	0.992991i	$0.537709\pi$
$572$	38.5157	+	11.6901i	1.61042	+	0.488787i
$573$	26.9093	+	11.1462i	1.12415	+	0.465640i
$574$	4.56928	+	2.73920i	0.190718	+	0.114332i
$575$	−9.13568	+	0.821523i	−0.380984	+	0.0342599i
$576$	−33.9360	+	27.8243i	−1.41400	+	1.15934i
$577$	14.9573	−	14.9573i	0.622679	−	0.622679i	−0.323536	−	0.946216i	$-0.604872\pi$
$577$	14.9573	−	14.9573i	0.622679	−	0.622679i	0.946216	+	0.323536i	$0.104872\pi$
$578$	5.79277	+	23.1336i	0.240947	+	0.962231i
$579$	−25.7994	+	10.6865i	−1.07219	+	0.444114i
$580$	−3.20187	+	0.460564i	−0.132950	+	0.0191239i
$581$	1.47620	−	3.56387i	0.0612433	−	0.147854i
$582$	−33.6788	−	45.4179i	−1.39603	−	1.88263i
$583$	−17.3729			−0.719511
$584$	−2.38284	+	2.15868i	−0.0986028	+	0.0893268i
$585$	−14.8068	+	40.8349i	−0.612186	+	1.68831i
$586$	24.1260	−	17.8902i	0.996637	−	0.739037i
$587$	6.07069	+	14.6559i	0.250564	+	0.604915i	0.998250	−	0.0591375i	$-0.0188350\pi$
$587$	6.07069	+	14.6559i	0.250564	+	0.604915i	−0.747686	+	0.664053i	$0.768835\pi$
$588$	−3.83798	−	39.0294i	−0.158276	−	1.60954i
$589$	17.9889	−	7.45124i	0.741219	−	0.307023i
$590$	−8.26283	−	10.1575i	−0.340175	−	0.418178i
$591$	−10.0730			−0.414348
$592$	17.1070	+	3.40829i	0.703095	+	0.140080i
$593$	0.0583317	−	0.0583317i	0.00239539	−	0.00239539i	−0.705908	−	0.708303i	$-0.749461\pi$
$593$	0.0583317	−	0.0583317i	0.00239539	−	0.00239539i	0.708303	+	0.705908i	$0.249461\pi$
$594$	14.1354	+	56.4501i	0.579982	+	2.31618i
$595$	−0.0192269	−	0.428485i	−0.000788226	−	0.0175662i
$596$	−2.95142	−	30.0137i	−0.120895	−	1.22941i
$597$	−29.8799	+	12.3767i	−1.22290	+	0.506544i
$598$	9.08768	+	1.34875i	0.371623	+	0.0551544i
$599$	16.0735	−	16.0735i	0.656746	−	0.656746i	−0.297863	−	0.954609i	$-0.596274\pi$
$599$	16.0735	−	16.0735i	0.656746	−	0.656746i	0.954609	+	0.297863i	$0.0962737\pi$
$600$	37.3930	−	17.2881i	1.52656	−	0.705782i
$601$	21.9056	+	21.9056i	0.893548	+	0.893548i	0.994855	−	0.101307i	$-0.0323024\pi$
$601$	21.9056	+	21.9056i	0.893548	+	0.893548i	−0.101307	+	0.994855i	$0.532302\pi$
$602$	−0.598748	−	0.807449i	−0.0244032	−	0.0329092i
$603$	7.26575	+	17.5411i	0.295884	+	0.714327i
$604$	−25.9933	−	7.88935i	−1.05765	−	0.321013i
$605$	−47.5778	+	2.13490i	−1.93431	+	0.0867960i
$606$	−0.104959	−	0.0629211i	−0.00426368	−	0.00255600i
$607$	19.5149	+	19.5149i	0.792086	+	0.792086i	0.981833	−	0.189747i	$-0.0607669\pi$
$607$	19.5149	+	19.5149i	0.792086	+	0.792086i	−0.189747	+	0.981833i	$0.560767\pi$
$608$	−39.9252	+	1.94597i	−1.61918	+	0.0789194i
$609$		−	1.09183i		−	0.0442432i
$610$	−2.49675	+	24.2737i	−0.101090	+	0.982815i
$611$	4.66263	+	11.2566i	0.188630	+	0.455392i
$612$	1.91390	+	3.58198i	0.0773647	+	0.144793i
$613$	−16.4712	+	6.82259i	−0.665265	+	0.275562i	−0.689652	−	0.724141i	$-0.742237\pi$
$613$	−16.4712	+	6.82259i	−0.665265	+	0.275562i	0.0243871	+	0.999703i	$0.492237\pi$
$614$	−0.187590	+	1.26396i	−0.00757053	+	0.0510093i
$615$	44.5169	+	16.1419i	1.79509	+	0.650905i
$616$	7.84323	−	2.80431i	0.316013	−	0.112989i
$617$			3.75716i			0.151258i	0.997136	+	0.0756288i	$0.0240964\pi$
$617$			3.75716i			0.151258i	−0.997136	+	0.0756288i	$0.975904\pi$
$618$	9.13082	−	61.5223i	0.367295	−	2.47479i
$619$	−1.33925	−	0.554736i	−0.0538291	−	0.0222967i	0.355606	−	0.934636i	$-0.384274\pi$
$619$	−1.33925	−	0.554736i	−0.0538291	−	0.0222967i	−0.409436	+	0.912339i	$0.634274\pi$
$620$	−11.9404	−	3.04681i	−0.479539	−	0.122363i
$621$	5.08302	+	12.2715i	0.203975	+	0.492438i
$622$	0.0701091	+	0.0420291i	0.00281112	+	0.00168521i
$623$	−0.674357	−	0.674357i	−0.0270176	−	0.0270176i
$624$	−40.4716	+	8.03732i	−1.62016	+	0.321750i
$625$	−24.5989	+	4.46017i	−0.983957	+	0.178407i
$626$	−3.40021	−	13.5788i	−0.135900	−	0.542720i
$627$	−44.7672	+	108.078i	−1.78783	+	4.31620i
$628$	3.72559	+	37.8864i	0.148667	+	1.51183i
$629$	0.617753	−	1.49139i	0.0246314	−	0.0594655i
$630$	2.57209	+	8.61291i	0.102475	+	0.343147i
$631$	3.28226	+	3.28226i	0.130665	+	0.130665i	0.769415	−	0.638750i	$-0.220548\pi$
$631$	3.28226	+	3.28226i	0.130665	+	0.130665i	−0.638750	+	0.769415i	$0.720548\pi$
$632$	−16.3877	−	18.0894i	−0.651867	−	0.719559i
$633$			47.8908i			1.90349i
$634$	−0.931509	+	6.27639i	−0.0369950	+	0.249267i
$635$	−33.2394	+	1.49151i	−1.31906	+	0.0591888i
$636$	15.7077	−	8.39285i	0.622852	−	0.332798i
$637$	9.12222	−	22.0230i	0.361435	−	0.872582i
$638$	−5.63946	+	1.41215i	−0.223268	+	0.0559075i
$639$	−82.3857			−3.25913
$640$	20.9672	+	14.1554i	0.828801	+	0.559543i
$641$	−39.9475			−1.57783			−0.788915	−	0.614502i	$-0.789357\pi$
$641$	−39.9475			−1.57783			−0.788915	+	0.614502i	$0.789357\pi$
$642$	−52.1558	+	13.0601i	−2.05843	+	0.515440i
$643$	−4.10274	+	9.90488i	−0.161796	+	0.390611i	−0.983898	−	0.178730i	$-0.942801\pi$
$643$	−4.10274	+	9.90488i	−0.161796	+	0.390611i	0.822102	+	0.569340i	$0.192801\pi$
$644$	1.67685	−	0.895965i	0.0660773	−	0.0353060i
$645$	−6.59483	−	6.02840i	−0.259671	−	0.237368i
$646$	−0.543069	+	3.65913i	−0.0213668	+	0.143967i
$647$		−	6.69886i		−	0.263359i	−0.991292	−	0.131680i	$-0.957963\pi$
$647$		−	6.69886i		−	0.263359i	0.991292	−	0.131680i	$-0.0420370\pi$
$648$	−8.80098	−	9.71490i	−0.345735	−	0.381637i
$649$	−16.6397	−	16.6397i	−0.653167	−	0.653167i
$650$	24.9984	+	1.44290i	0.980518	+	0.0565953i
$651$	1.59170	−	3.84271i	0.0623837	−	0.150608i
$652$	1.67883	+	17.0724i	0.0657480	+	0.668608i
$653$	10.1057	−	24.3973i	0.395466	−	0.954738i	−0.593262	−	0.805010i	$-0.702160\pi$
$653$	10.1057	−	24.3973i	0.395466	−	0.954738i	0.988727	−	0.149729i	$-0.0478400\pi$
$654$	−12.8863	−	51.4619i	−0.503895	−	2.01232i
$655$	2.32377	+	0.842604i	0.0907972	+	0.0329233i
$656$	5.66428	+	28.5222i	0.221153	+	1.11361i
$657$	−4.40935	−	4.40935i	−0.172025	−	0.172025i
$658$	2.16255	+	1.29641i	0.0843050	+	0.0505393i
$659$	−7.37604	−	17.8073i	−0.287330	−	0.693675i	0.712640	−	0.701530i	$-0.247500\pi$
$659$	−7.37604	−	17.8073i	−0.287330	−	0.693675i	−0.999969	+	0.00785531i	$0.997500\pi$
$660$	63.6704	−	37.7828i	2.47837	−	1.47069i
$661$	−7.76165	−	3.21498i	−0.301893	−	0.125048i	0.226595	−	0.973989i	$-0.427241\pi$
$661$	−7.76165	−	3.21498i	−0.301893	−	0.125048i	−0.528488	+	0.848941i	$0.677241\pi$
$662$	−5.32630	+	35.8879i	−0.207012	+	1.39482i
$663$			3.81854i			0.148300i
$664$	19.8266	−	7.08890i	0.769421	−	0.275103i
$665$	−2.79099	+	7.69712i	−0.108230	+	0.298482i
$666$	−4.96648	+	33.4635i	−0.192447	+	1.29669i
$667$	−1.22594	+	0.507802i	−0.0474687	+	0.0196622i
$668$	−16.6639	−	31.1874i	−0.644744	−	1.20668i
$669$	9.80261	+	23.6656i	0.378991	+	0.914965i
$670$	8.49062	−	6.90687i	0.328021	−	0.266836i
$671$			43.8546i			1.69299i
$672$	−5.73672	+	6.32459i	−0.221299	+	0.243977i
$673$	−9.01456	−	9.01456i	−0.347486	−	0.347486i	0.511686	−	0.859172i	$-0.329021\pi$
$673$	−9.01456	−	9.01456i	−0.347486	−	0.347486i	−0.859172	+	0.511686i	$0.829021\pi$
$674$	35.7689	+	21.4428i	1.37776	+	0.825945i
$675$	16.7938	+	32.0711i	0.646393	+	1.23442i
$676$	0.880259	+	0.267172i	0.0338561	+	0.0102758i
$677$	17.7175	+	42.7737i	0.680937	+	1.64393i	0.762284	+	0.647242i	$0.224078\pi$
$677$	17.7175	+	42.7737i	0.680937	+	1.64393i	−0.0813472	+	0.996686i	$0.525922\pi$
$678$	7.11988	+	9.60159i	0.273437	+	0.368747i
$679$	−5.02903	−	5.02903i	−0.192996	−	0.192996i
$680$	1.66287	−	1.64805i	0.0637681	−	0.0631997i
$681$	−0.444091	+	0.444091i	−0.0170176	+	0.0170176i
$682$	−21.9068	−	3.25130i	−0.838855	−	0.124499i
$683$	39.3555	−	16.3016i	1.50590	−	0.623762i	0.531190	−	0.847253i	$-0.321745\pi$
$683$	39.3555	−	16.3016i	1.50590	−	0.623762i	0.974706	+	0.223491i	$0.0717452\pi$
$684$	−7.58680	−	77.1520i	−0.290089	−	2.94998i
$685$	−14.1697	−	12.9527i	−0.541398	−	0.494898i
$686$	−2.44427	−	9.76128i	−0.0933228	−	0.372687i
$687$	56.0509	−	56.0509i	2.13848	−	2.13848i
$688$	1.07210	−	5.38115i	0.0408735	−	0.205154i
$689$	10.8250			0.412399
$690$	13.1093	−	10.6640i	0.499062	−	0.405972i
$691$	29.4760	−	12.2094i	1.12132	−	0.464466i	0.256498	−	0.966545i	$-0.417431\pi$
$691$	29.4760	−	12.2094i	1.12132	−	0.464466i	0.864822	+	0.502079i	$0.167431\pi$
$692$	−1.22401	−	12.4473i	−0.0465300	−	0.473175i
$693$	6.18206	+	14.9248i	0.234837	+	0.566947i
$694$	−25.7261	+	19.0767i	−0.976549	+	0.724142i
$695$	5.79351	−	2.71009i	0.219760	−	0.102799i
$696$	4.41673	−	4.00123i	0.167416	−	0.151666i
$697$	2.69110			0.101933
$698$	−15.6434	−	21.0961i	−0.592112	−	0.798499i
$699$	10.7857	−	26.0391i	0.407954	−	0.984889i
$700$	4.33323	−	2.84149i	0.163781	−	0.107398i
$701$	7.75687	−	3.21300i	0.292973	−	0.121353i	−0.231356	−	0.972869i	$-0.574316\pi$
$701$	7.75687	−	3.21300i	0.292973	−	0.121353i	0.524329	+	0.851516i	$0.324316\pi$
$702$	−8.80773	−	35.1739i	−0.332426	−	1.32756i
$703$	−21.7891	+	21.7891i	−0.821792	+	0.821792i
$704$	40.0872	+	21.4509i	1.51084	+	0.808461i
$705$	21.0690	+	7.63965i	0.793503	+	0.287726i
$706$	−28.1090	−	16.8508i	−1.05790	−	0.634190i
$707$	−0.0142210	−	0.00589054i	−0.000534837	−	0.000221537i
$708$	23.0836	+	7.00621i	0.867533	+	0.263309i
$709$	11.0612	+	4.58170i	0.415412	+	0.172069i	0.580593	−	0.814194i	$-0.302821\pi$
$709$	11.0612	+	4.58170i	0.415412	+	0.172069i	−0.165181	+	0.986263i	$0.552821\pi$
$710$	13.5900	+	45.5073i	0.510022	+	1.70786i
$711$	33.4737	−	33.4737i	1.25536	−	1.25536i
$712$	0.256629	−	5.19926i	0.00961758	−	0.194851i
$713$	−5.05501			−0.189312
$714$	0.470678	+	0.634739i	0.0176147	+	0.0237545i
$715$	44.9564	−	2.01727i	1.68127	−	0.0754417i
$716$	1.48149	+	1.21621i	0.0553660	+	0.0454520i
$717$	−16.6197	−	6.88410i	−0.620674	−	0.257091i
$718$	−34.1790	−	20.4897i	−1.27555	−	0.764669i
$719$			2.78390i			0.103822i	0.998652	+	0.0519110i	$0.0165312\pi$
$719$			2.78390i			0.103822i	−0.998652	+	0.0519110i	$0.983469\pi$
$720$	−25.4155	+	41.9685i	−0.947178	+	1.56407i
$721$		−	7.82327i		−	0.291354i
$722$	22.4916	−	37.5184i	0.837051	−	1.39629i
$723$	−6.17491	−	2.55773i	−0.229647	−	0.0951230i
$724$	33.2464	−	3.26930i	1.23559	−	0.121503i
$725$	−3.20395	+	1.67773i	−0.118992	+	0.0623092i
$726$	70.4796	−	52.2628i	2.61574	−	1.93965i
$727$	−31.7339			−1.17695			−0.588473	−	0.808517i	$-0.700271\pi$
$727$	−31.7339			−1.17695			−0.588473	+	0.808517i	$0.700271\pi$
$728$	−4.88710	+	1.74736i	−0.181128	+	0.0647613i
$729$	−26.7643	+	26.7643i	−0.991269	+	0.991269i
$730$	−1.70825	+	3.16294i	−0.0632250	+	0.117066i
$731$	−0.469127	−	0.194319i	−0.0173513	−	0.00718713i
$732$	−21.1862	−	39.6513i	−0.783065	−	1.46555i
$733$	−9.08834	−	3.76451i	−0.335685	−	0.139045i	0.208473	−	0.978028i	$-0.433151\pi$
$733$	−9.08834	−	3.76451i	−0.335685	−	0.139045i	−0.544158	+	0.838983i	$0.683151\pi$
$734$	−4.51054	+	7.52407i	−0.166487	+	0.277718i
$735$	−18.5784	−	39.7161i	−0.685274	−	1.46495i
$736$	9.76957	+	3.49986i	0.360111	+	0.129006i
$737$	13.9091	−	13.9091i	0.512348	−	0.512348i
$738$	−54.7082	+	13.6992i	−2.01384	+	0.504275i
$739$	−9.95352	+	4.12288i	−0.366146	+	0.151663i	−0.558168	−	0.829728i	$-0.688496\pi$
$739$	−9.95352	+	4.12288i	−0.366146	+	0.151663i	0.192022	+	0.981391i	$0.438496\pi$
$740$	19.3035	−	2.77666i	0.709610	−	0.102072i
$741$	27.8943	−	67.3429i	1.02472	−	2.47390i
$742$	1.79939	−	1.33430i	0.0660577	−	0.0489839i
$743$	0.504065			0.0184924			0.00924618	−	0.999957i	$-0.497057\pi$
$743$	0.504065			0.0184924			0.00924618	+	0.999957i	$0.497057\pi$
$744$	21.3778	−	7.64353i	0.783749	−	0.280225i
$745$	−14.2868	−	30.5418i	−0.523429	−	1.11896i
$746$	−25.3029	−	34.1225i	−0.926405	−	1.24931i
$747$	15.6274	+	37.7279i	0.571776	+	1.38039i
$748$	2.66975	−	3.25208i	0.0976158	−	0.118908i
$749$	−6.24812	+	2.58805i	−0.228301	+	0.0945655i
$750$	32.9829	−	32.1483i	1.20437	−	1.17389i
$751$	6.55823			0.239313			0.119657	−	0.992815i	$-0.461821\pi$
$751$	6.55823			0.239313			0.119657	+	0.992815i	$0.461821\pi$
$752$	2.68079	+	13.4990i	0.0977585	+	0.492258i
$753$	−23.4741	+	23.4741i	−0.855442	+	0.855442i
$754$	3.51394	−	0.879907i	0.127970	−	0.0320443i
$755$	−30.3399	+	1.36141i	−1.10418	+	0.0495467i
$756$	−5.79966	−	4.76116i	−0.210932	−	0.173162i
$757$	−16.9988	+	7.04114i	−0.617833	+	0.255915i	−0.669573	−	0.742746i	$-0.733523\pi$
$757$	−16.9988	+	7.04114i	−0.617833	+	0.255915i	0.0517407	+	0.998661i	$0.483523\pi$
$758$	−3.28112	+	22.1078i	−0.119176	+	0.802990i
$759$	21.4753	−	21.4753i	0.779502	−	0.779502i
$760$	−41.3650	+	16.9174i	−1.50046	+	0.613657i
$761$	−1.47182	−	1.47182i	−0.0533536	−	0.0533536i	0.679927	−	0.733280i	$-0.262012\pi$
$761$	−1.47182	−	1.47182i	−0.0533536	−	0.0533536i	−0.733280	+	0.679927i	$0.762012\pi$
$762$	49.2394	−	36.5125i	1.78375	−	1.32271i
$763$	−2.55362	−	6.16498i	−0.0924472	−	0.223187i
$764$	9.42408	+	17.6378i	0.340951	+	0.638111i
$765$	3.35138	+	3.06353i	0.121169	+	0.110762i
$766$	−17.4446	+	29.0994i	−0.630297	+	1.05140i
$767$	10.3682	+	10.3682i	0.374373	+	0.374373i
$768$	−46.6079	−	0.0287514i	−1.68182	−	0.00103748i
$769$		−	27.0130i		−	0.974113i	−0.873370	−	0.487056i	$-0.838071\pi$
$769$		−	27.0130i		−	0.974113i	0.873370	−	0.487056i	$-0.161929\pi$
$770$	7.22425	−	5.87671i	0.260344	−	0.211782i
$771$	10.4497	+	25.2278i	0.376337	+	0.908557i
$772$	−18.3463	−	5.56838i	−0.660298	−	0.200410i
$773$	50.2781	−	20.8259i	1.80838	−	0.749055i	0.825603	−	0.564251i	$-0.190835\pi$
$773$	50.2781	−	20.8259i	1.80838	−	0.749055i	0.982775	−	0.184804i	$-0.0591649\pi$
$774$	10.5262	+	1.56224i	0.378356	+	0.0561537i
$775$	−13.7222	+	1.23396i	−0.492915	+	0.0443252i
$776$	1.91382	−	38.7736i	0.0687020	−	1.39189i
$777$			6.58245i			0.236144i
$778$	28.6899	+	4.25801i	1.02858	+	0.152657i
$779$	−47.4597	−	19.6585i	−1.70042	−	0.704338i
$780$	−39.6729	+	23.5424i	−1.42052	+	0.842953i
$781$	32.6636	+	78.8570i	1.16880	+	2.82172i
$782$	0.493796	−	0.823706i	0.0176581	−	0.0294557i
$783$	3.70325	+	3.70325i	0.132343	+	0.132343i
$784$	14.9662	−	22.3835i	0.534506	−	0.799411i
$785$	18.0343	+	38.5531i	0.643673	+	1.37602i
$786$	−4.41754	+	1.10617i	−0.157568	+	0.0394559i
$787$	6.00176	−	14.4895i	0.213940	−	0.516496i	−0.780082	−	0.625677i	$-0.784823\pi$
$787$	6.00176	−	14.4895i	0.213940	−	0.516496i	0.994022	+	0.109181i	$0.0348227\pi$
$788$	−5.34539	−	4.38823i	−0.190422	−	0.156324i
$789$	11.2996	−	27.2797i	0.402277	−	0.971183i
$790$	−24.0116	−	12.9682i	−0.854293	−	0.461388i
$791$	1.06317	+	1.06317i	0.0378018	+	0.0378018i
$792$	−37.7192	+	79.7029i	−1.34029	+	2.83212i
$793$		−	27.3257i		−	0.970365i
$794$	4.53732	+	0.673406i	0.161024	+	0.0238983i
$795$	13.4342	−	14.6965i	0.476463	−	0.521232i
$796$	−21.2480	−	6.44910i	−0.753117	−	0.228582i
$797$	−6.91193	+	16.6869i	−0.244833	+	0.591079i	−0.997751	−	0.0670355i	$-0.978646\pi$
$797$	−6.91193	+	16.6869i	−0.244833	+	0.591079i	0.752917	+	0.658115i	$0.228646\pi$
$798$	−3.66403	−	14.6324i	−0.129705	−	0.517982i
$799$	1.27365			0.0450584
$800$	27.3745	+	7.11579i	0.967836	+	0.251581i
$801$	10.0959			0.356721
$802$	−9.64898	−	38.5335i	−0.340717	−	1.36066i
$803$	−2.47231	+	5.96868i	−0.0872459	+	0.210630i
$804$	−5.85646	+	19.2954i	−0.206541	+	0.680498i
$805$	1.43415	−	1.56890i	0.0505472	−	0.0552966i
$806$	13.6501	+	2.02587i	0.480804	+	0.0713584i
$807$			59.4024i			2.09106i
$808$	−0.0282871	−	0.0791147i	−0.000995135	−	0.00278325i
$809$	22.0780	+	22.0780i	0.776221	+	0.776221i	0.979186	−	0.202965i	$-0.0650578\pi$
$809$	22.0780	+	22.0780i	0.776221	+	0.776221i	−0.202965	+	0.979186i	$0.565058\pi$
$810$	−12.8954	−	6.96456i	−0.453097	−	0.244710i
$811$	0.697644	−	1.68426i	0.0244976	−	0.0591424i	−0.911157	−	0.412059i	$-0.864810\pi$
$811$	0.697644	−	1.68426i	0.0244976	−	0.0591424i	0.935655	+	0.352916i	$0.114810\pi$
$812$	0.475648	−	0.579396i	0.0166920	−	0.0203328i
$813$	−31.1670	+	75.2438i	−1.09307	+	2.63891i
$814$	33.9993	−	8.51360i	1.19168	−	0.298401i
$815$	8.12666	+	17.3728i	0.284664	+	0.608544i
$816$	−0.842783	+	4.23014i	−0.0295033	+	0.148084i
$817$	6.85393	+	6.85393i	0.239789	+	0.239789i
$818$	−19.5944	+	32.6855i	−0.685102	+	1.14282i
$819$	−3.85203	−	9.29962i	−0.134601	−	0.324955i
$820$	16.5914	+	27.9594i	0.579398	+	0.976384i
$821$	−16.6696	−	6.90476i	−0.581772	−	0.240978i	0.0723346	−	0.997380i	$-0.476955\pi$
$821$	−16.6696	−	6.90476i	−0.581772	−	0.240978i	−0.654106	+	0.756403i	$0.726955\pi$
$822$	34.9856	+	5.19238i	1.22026	+	0.181105i
$823$			28.2848i			0.985947i	0.870044	+	0.492974i	$0.164090\pi$
$823$			28.2848i			0.985947i	−0.870044	+	0.492974i	$0.835910\pi$
$824$	31.6471	−	28.6699i	1.10248	−	0.998765i
$825$	53.0538	−	63.5384i	1.84710	−	2.21212i
$826$	3.00146	+	0.445460i	0.104434	+	0.0154995i
$827$	20.1418	−	8.34302i	0.700400	−	0.290115i	−0.00392528	−	0.999992i	$-0.501249\pi$
$827$	20.1418	−	8.34302i	0.700400	−	0.290115i	0.704326	+	0.709877i	$0.251249\pi$
$828$	−5.84541	+	19.2590i	−0.203142	+	0.669298i
$829$	−0.164266	−	0.396574i	−0.00570521	−	0.0137736i	0.921001	−	0.389560i	$-0.127373\pi$
$829$	−0.164266	−	0.396574i	−0.00570521	−	0.0137736i	−0.926706	+	0.375786i	$0.877373\pi$
$830$	18.2619	−	14.8555i	0.633880	−	0.515642i
$831$		−	51.8093i		−	1.79725i
$832$	−24.9782	−	13.3660i	−0.865965	−	0.463383i
$833$	−1.76199	−	1.76199i	−0.0610494	−	0.0610494i
$834$	−6.05881	+	10.1067i	−0.209799	+	0.349968i
$835$	−29.1797	−	26.6734i	−1.00980	−	0.923072i
$836$	−70.8396	+	37.8505i	−2.45004	+	1.30909i
$837$	7.63491	+	18.4323i	0.263901	+	0.637114i
$838$	−3.74090	+	2.77399i	−0.129227	+	0.0958260i
$839$	−28.0177	−	28.0177i	−0.967279	−	0.967279i	0.0322021	−	0.999481i	$-0.489748\pi$
$839$	−28.0177	−	28.0177i	−0.967279	−	0.967279i	−0.999481	+	0.0322021i	$0.989748\pi$
$840$	−3.69279	+	8.80349i	−0.127413	+	0.303749i
$841$	20.1361	−	20.1361i	0.694350	−	0.694350i
$842$	−5.60494	+	37.7654i	−0.193159	+	1.30148i
$843$	−4.54985	+	1.88461i	−0.156705	+	0.0649095i
$844$	−20.8633	+	25.4140i	−0.718143	+	0.874785i
$845$	1.02746	−	0.0461039i	0.0353457	−	0.00158602i
$846$	−25.8923	+	6.48356i	−0.890196	+	0.222910i
$847$	7.80406	−	7.80406i	0.268151	−	0.268151i
$848$	11.9918	+	2.38917i	0.411801	+	0.0820444i
$849$	30.2074			1.03671
$850$	1.13937	−	2.35655i	0.0390802	−	0.0808289i
$851$	7.39099	−	3.06145i	0.253360	−	0.104945i
$852$	−67.6288	−	55.5190i	−2.31693	−	1.90205i
$853$	−18.6821	−	45.1026i	−0.639663	−	1.54428i	−0.827129	−	0.562012i	$-0.810027\pi$
$853$	−18.6821	−	45.1026i	−0.639663	−	1.54428i	0.187466	−	0.982271i	$-0.439973\pi$
$854$	−3.36821	−	4.54224i	−0.115258	−	0.155432i
$855$	−36.7252	−	78.5096i	−1.25598	−	2.68497i
$856$	−33.3668	−	15.7908i	−1.14045	−	0.539717i
$857$	−5.79911			−0.198094			−0.0990469	−	0.995083i	$-0.531579\pi$
$857$	−5.79911			−0.198094			−0.0990469	+	0.995083i	$0.531579\pi$
$858$	−66.5964	+	49.3833i	−2.27356	+	1.68592i
$859$	−5.64979	+	13.6398i	−0.192768	+	0.465384i	−0.990480	−	0.137655i	$-0.956043\pi$
$859$	−5.64979	+	13.6398i	−0.192768	+	0.465384i	0.797712	+	0.603039i	$0.206043\pi$
$860$	−0.873417	−	6.07205i	−0.0297833	−	0.207055i
$861$	−10.1381	+	4.19936i	−0.345507	+	0.143114i
$862$	30.8419	−	7.72296i	1.05048	−	0.263045i
$863$	−32.4517	+	32.4517i	−1.10467	+	1.10467i	−0.110830	+	0.993839i	$0.535351\pi$
$863$	−32.4517	+	32.4517i	−1.10467	+	1.10467i	−0.993839	+	0.110830i	$0.964649\pi$
$864$	−1.99394	−	40.9093i	−0.0678351	−	1.39176i
$865$	−5.92505	−	12.6663i	−0.201458	−	0.430668i
$866$	−8.25477	+	13.7698i	−0.280508	+	0.467918i
$867$	−45.3826	−	18.7981i	−1.54127	−	0.638417i
$868$	2.51871	−	1.34578i	0.0854905	−	0.0456787i
$869$	−45.3114	−	18.7686i	−1.53709	−	0.636682i
$870$	3.16633	−	5.86268i	0.107349	−	0.198764i
$871$	−8.66672	+	8.66672i	−0.293661	+	0.293661i
$872$	15.5807	−	32.9228i	0.527628	−	1.11491i
$873$	75.2904			2.54819
$874$	−14.7256	+	10.9195i	−0.498103	+	0.369358i
$875$	3.51012	−	4.60898i	0.118664	−	0.155812i
$876$	−0.648129	−	6.59098i	−0.0218982	−	0.222689i
$877$	−36.3537	−	15.0582i	−1.22758	−	0.508479i	−0.327766	−	0.944759i	$-0.606296\pi$
$877$	−36.3537	−	15.0582i	−1.22758	−	0.508479i	−0.899811	+	0.436279i	$0.856296\pi$
$878$	9.06842	−	15.1271i	0.306044	−	0.510515i
$879$			61.8669i			2.08672i
$880$	50.2475	+	7.68753i	1.69384	+	0.259147i
$881$			15.1318i			0.509803i	0.966967	+	0.254902i	$0.0820431\pi$
$881$			15.1318i			0.509803i	−0.966967	+	0.254902i	$0.917957\pi$
$882$	44.7895	+	26.8505i	1.50814	+	0.904103i
$883$	8.45173	+	3.50082i	0.284423	+	0.117812i	0.520334	−	0.853963i	$-0.325807\pi$
$883$	8.45173	+	3.50082i	0.284423	+	0.117812i	−0.235911	+	0.971775i	$0.575807\pi$
$884$	−1.66352	+	2.02636i	−0.0559501	+	0.0681540i
$885$	26.9436	−	1.20901i	0.905701	−	0.0406404i
$886$	21.3497	+	28.7914i	0.717259	+	0.967267i
$887$	−43.4202			−1.45791			−0.728954	−	0.684563i	$-0.759993\pi$
$887$	−43.4202			−1.45791			−0.728954	+	0.684563i	$0.759993\pi$
$888$	−26.6277	+	24.1227i	−0.893566	+	0.809505i
$889$	5.45217	−	5.45217i	0.182860	−	0.182860i
$890$	−1.66537	−	5.57667i	−0.0558235	−	0.186930i
$891$	−24.3345	−	10.0797i	−0.815235	−	0.337681i
$892$	−5.10784	+	16.8289i	−0.171023	+	0.563474i
$893$	−22.4618	−	9.30397i	−0.751654	−	0.311345i
$894$	53.2800	+	31.9404i	1.78195	+	1.06825i
$895$	2.01465	+	0.730518i	0.0673425	+	0.0244185i
$896$	−5.79954	+	0.857081i	−0.193749	+	0.0286331i
$897$	−13.3812	+	13.3812i	−0.446785	+	0.446785i
$898$	12.7070	+	50.7456i	0.424037	+	1.69340i
$899$	−1.84142	+	0.762741i	−0.0614148	+	0.0254388i
$900$	−11.1665	+	53.7069i	−0.372217	+	1.79023i
$901$	0.433037	−	1.04544i	0.0144266	−	0.0348288i
$902$	34.8027	+	46.9336i	1.15880	+	1.56272i
$903$	2.07056			0.0689039
$904$	−0.404591	+	8.19695i	−0.0134565	+	0.272627i
$905$	33.8314	−	15.8256i	1.12459	−	0.526062i
$906$	44.9442	−	33.3275i	1.49317	−	1.10723i
$907$	−7.96650	−	19.2328i	−0.264523	−	0.638616i	0.734685	−	0.678409i	$-0.237330\pi$
$907$	−7.96650	−	19.2328i	−0.264523	−	0.638616i	−0.999208	+	0.0397931i	$0.987330\pi$
$908$	−0.429128	+	0.0421986i	−0.0142411	+	0.00140041i
$909$	0.150547	−	0.0623585i	0.00499332	−	0.00206830i
$910$	−4.50141	+	3.66176i	−0.149220	+	0.121386i
$911$	−16.2939			−0.539842			−0.269921	−	0.962882i	$-0.586998\pi$
$911$	−16.2939			−0.539842			−0.269921	+	0.962882i	$0.586998\pi$
$912$	45.7642	−	68.4453i	1.51541	−	2.26645i
$913$	29.9161	−	29.9161i	0.990079	−	0.990079i
$914$	−13.3296	−	53.2321i	−0.440904	−	1.76076i
$915$	−37.0987	−	33.9123i	−1.22644	−	1.12111i
$916$	54.1624	−	5.32610i	1.78958	−	0.175979i
$917$	−0.529209	+	0.219205i	−0.0174760	+	0.00723880i
$918$	−3.74933	−	0.556456i	−0.123746	−	0.0183658i
$919$	24.8900	−	24.8900i	0.821046	−	0.821046i	−0.165212	−	0.986258i	$-0.552831\pi$
$919$	24.8900	−	24.8900i	0.821046	−	0.821046i	0.986258	+	0.165212i	$0.0528310\pi$
$920$	11.6023	+	0.0519439i	0.382518	+	0.00171254i
$921$	−1.86112	−	1.86112i	−0.0613260	−	0.0613260i
$922$	19.5749	+	26.3980i	0.644666	+	0.869371i
$923$	−20.3526	−	49.1356i	−0.669915	−	1.61732i
$924$	−4.98297	+	16.4175i	−0.163928	+	0.540097i
$925$	19.3161	−	10.1147i	0.635108	−	0.332570i
$926$	4.76443	+	2.85619i	0.156569	+	0.0938602i
$927$	58.5617	+	58.5617i	1.92342	+	1.92342i
$928$	4.08691	−	0.199198i	0.134159	−	0.00653898i
$929$			8.35481i			0.274112i	0.990563	+	0.137056i	$0.0437641\pi$
$929$			8.35481i			0.274112i	−0.990563	+	0.137056i	$0.956236\pi$
$930$	19.6907	−	16.0178i	0.645684	−	0.525244i
$931$	18.2028	+	43.9454i	0.596572	+	1.44025i
$932$	17.0674	−	9.11931i	0.559060	−	0.298713i
$933$	−0.155555	+	0.0644331i	−0.00509265	+	0.00210945i
$934$	−5.85379	+	39.4421i	−0.191542	+	1.29058i
$935$	1.60359	−	4.42244i	0.0524429	−	0.144629i
$936$	23.5028	−	49.6627i	0.768212	−	1.62328i
$937$			52.9845i			1.73093i	0.500971	+	0.865464i	$0.332976\pi$
$937$			52.9845i			1.73093i	−0.500971	+	0.865464i	$0.667024\pi$
$938$	−0.372359	+	2.50890i	−0.0121579	+	0.0819186i
$939$	26.6385	+	11.0340i	0.869313	+	0.360081i
$940$	7.85240	+	13.2326i	0.256117	+	0.431601i
$941$	−12.4497	−	30.0563i	−0.405849	−	0.979807i	−0.986218	−	0.165453i	$-0.947091\pi$
$941$	−12.4497	−	30.0563i	−0.405849	−	0.979807i	0.580368	−	0.814354i	$-0.302909\pi$
$942$	−67.2556	−	40.3185i	−2.19130	−	1.31365i
$943$	9.43035	+	9.43035i	0.307095	+	0.307095i
$944$	9.19743	+	13.7741i	0.299351	+	0.448309i
$945$	−7.88686	−	2.85979i	−0.256559	−	0.0930290i
$946$	−2.67801	−	10.6947i	−0.0870698	−	0.347716i
$947$	0.751777	−	1.81495i	0.0244295	−	0.0589779i	−0.911194	−	0.411977i	$-0.864838\pi$
$947$	0.751777	−	1.81495i	0.0244295	−	0.0589779i	0.935624	+	0.352999i	$0.114838\pi$
$948$	50.0356	−	4.92029i	1.62508	−	0.159804i
$949$	1.54049	−	3.71907i	0.0500064	−	0.120726i
$950$	−37.3083	+	33.2365i	−1.21044	+	1.07833i
$951$	−9.24169	−	9.24169i	−0.299682	−	0.299682i
$952$	−0.0267466	+	0.541881i	−0.000866861	+	0.0175625i
$953$			46.2473i			1.49810i	0.662515	+	0.749048i	$0.269489\pi$
$953$			46.2473i			1.49810i	−0.662515	+	0.749048i	$0.730511\pi$
$954$	−3.48144	+	23.4575i	−0.112716	+	0.759465i
$955$	16.5023	+	15.0849i	0.534001	+	0.488136i
$956$	−5.82048	−	10.8934i	−0.188248	−	0.352318i
$957$	4.58256	−	11.0633i	0.148133	−	0.357625i
$958$	−16.6856	+	4.17816i	−0.539087	+	0.134990i
$959$	4.44883			0.143660
$960$	−49.1453	+	17.3239i	−1.58616	+	0.559126i
$961$	23.4072			0.755070
$962$	−21.1849	+	5.30480i	−0.683028	+	0.171034i
$963$	27.3977	−	66.1438i	0.882878	−	2.13146i
$964$	−2.16255	−	4.04735i	−0.0696511	−	0.130356i
$965$	−21.4142	+	0.960895i	−0.689348	+	0.0309323i
$966$	−0.574911	+	3.87368i	−0.0184975	+	0.124634i
$967$			52.5391i			1.68954i	0.535127	+	0.844772i	$0.320264\pi$
$967$			52.5391i			1.68954i	−0.535127	+	0.844772i	$0.679736\pi$
$968$	60.1689	+	2.96986i	1.93390	+	0.0954550i
$969$	−5.38790	−	5.38790i	−0.173084	−	0.173084i
$970$	−12.4196	−	41.5881i	−0.398768	−	1.33531i
$971$	−12.5563	+	30.3136i	−0.402951	+	0.972809i	0.583995	+	0.811757i	$0.301489\pi$
$971$	−12.5563	+	30.3136i	−0.402951	+	0.972809i	−0.986946	+	0.161052i	$0.948511\pi$
$972$	−16.3623	+	1.60900i	−0.524820	+	0.0516086i
$973$	−0.567213	+	1.36937i	−0.0181840	+	0.0439001i
$974$	9.35914	+	37.3760i	0.299886	+	1.19760i
$975$	−33.0577	+	39.5906i	−1.05869	+	1.26791i
$976$	6.03102	−	30.2712i	0.193048	−	0.968957i
$977$	−3.32930	−	3.32930i	−0.106514	−	0.106514i	0.651841	−	0.758355i	$-0.273997\pi$
$977$	−3.32930	−	3.32930i	−0.106514	−	0.106514i	−0.758355	+	0.651841i	$0.773997\pi$
$978$	−30.3068	−	18.1684i	−0.969104	−	0.580960i
$979$	−4.00275	−	9.66348i	−0.127928	−	0.308846i
$980$	7.44312	−	29.1695i	0.237762	−	0.931785i
$981$	65.2637	+	27.0331i	2.08371	+	0.863101i
$982$	5.31780	−	35.8307i	0.169698	−	1.14340i
$983$			27.2902i			0.870423i	0.900328	+	0.435211i	$0.143326\pi$
$983$			27.2902i			0.870423i	−0.900328	+	0.435211i	$0.856674\pi$
$984$	−54.1407	−	25.6220i	−1.72594	−	0.816798i
$985$	−7.26910	−	2.63579i	−0.231613	−	0.0839833i
$986$	0.0555909	−	0.374564i	0.00177037	−	0.0119286i
$987$	−4.79818	+	1.98747i	−0.152728	+	0.0632619i
$988$	44.1400	−	23.5846i	1.40428	−	0.750325i
$989$	−0.963002	−	2.32489i	−0.0306217	−	0.0739272i
$990$	−10.0871	+	98.0682i	−0.320589	+	3.11681i
$991$		−	44.3414i		−	1.40855i	−0.709926	−	0.704276i	$-0.751272\pi$
$991$		−	44.3414i		−	1.40855i	0.709926	−	0.704276i	$-0.248728\pi$
$992$	14.6743	+	5.25694i	0.465910	+	0.166908i
$993$	−52.8432	−	52.8432i	−1.67693	−	1.67693i
$994$	−9.43966	−	5.65890i	−0.299408	−	0.179489i
$995$	−24.8012	+	1.11287i	−0.786251	+	0.0352805i
$996$	−12.5963	+	41.5013i	−0.399128	+	1.31502i
$997$	−1.94799	−	4.70286i	−0.0616934	−	0.148941i	0.890027	−	0.455909i	$-0.150686\pi$
$997$	−1.94799	−	4.70286i	−0.0616934	−	0.148941i	−0.951720	+	0.306968i	$0.900686\pi$
$998$	−20.7151	−	27.9356i	−0.655724	−	0.884285i
$999$	−22.3262	−	22.3262i	−0.706370	−	0.706370i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	160.2.u.a.43.3	✓	88
4.3	odd	2		640.2.u.a.463.2		88
5.2	odd	4		160.2.ba.a.107.10	yes	88
5.3	odd	4		800.2.bb.b.107.13		88
5.4	even	2		800.2.v.b.43.20		88
20.7	even	4		640.2.ba.a.207.21		88
32.3	odd	8		160.2.ba.a.3.10	yes	88
32.29	even	8		640.2.ba.a.303.21		88
160.3	even	8		800.2.v.b.707.20		88
160.67	even	8	inner	160.2.u.a.67.3	yes	88
160.99	odd	8		800.2.bb.b.643.13		88
160.157	odd	8		640.2.u.a.47.2		88

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
160.2.u.a.43.3	✓	88	1.1	even	1	trivial
160.2.u.a.67.3	yes	88	160.67	even	8	inner
160.2.ba.a.3.10	yes	88	32.3	odd	8
160.2.ba.a.107.10	yes	88	5.2	odd	4
640.2.u.a.47.2		88	160.157	odd	8
640.2.u.a.463.2		88	4.3	odd	2
640.2.ba.a.207.21		88	20.7	even	4
640.2.ba.a.303.21		88	32.29	even	8
800.2.v.b.43.20		88	5.4	even	2
800.2.v.b.707.20		88	160.3	even	8
800.2.bb.b.107.13		88	5.3	odd	4
800.2.bb.b.643.13		88	160.99	odd	8

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 160 = 2^{5} \cdot 5 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	160.u (of order \(8\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.37186 + 0.343520i) q^{2} +(1.11476 - 2.69126i) q^{3} +(1.76399 - 0.942521i) q^{4} +(1.50867 - 1.65043i) q^{5} +(-0.604785 + 4.07496i) q^{6} +0.518179i q^{7} +(-2.09617 + 1.89897i) q^{8} +(-3.87887 - 3.87887i) q^{9} +O(q^{10})\)	\(q+(-1.37186 + 0.343520i) q^{2} +(1.11476 - 2.69126i) q^{3} +(1.76399 - 0.942521i) q^{4} +(1.50867 - 1.65043i) q^{5} +(-0.604785 + 4.07496i) q^{6} +0.518179i q^{7} +(-2.09617 + 1.89897i) q^{8} +(-3.87887 - 3.87887i) q^{9} +(-1.50273 + 2.78241i) q^{10} +(-2.17487 + 5.25060i) q^{11} +(-0.570153 - 5.79803i) q^{12} +(1.35516 - 3.27164i) q^{13} +(-0.178005 - 0.710868i) q^{14} +(-2.75992 - 5.90005i) q^{15} +(2.22331 - 3.32519i) q^{16} +(-0.261753 - 0.261753i) q^{17} +(6.65373 + 3.98879i) q^{18} +(2.70412 + 6.52833i) q^{19} +(1.10572 - 4.33329i) q^{20} +(1.39455 + 0.577643i) q^{21} +(1.17993 - 7.95018i) q^{22} -1.83451i q^{23} +(2.77391 + 7.75821i) q^{24} +(-0.447816 - 4.97991i) q^{25} +(-0.735209 + 4.95374i) q^{26} +(-6.68926 + 2.77078i) q^{27} +(0.488395 + 0.914062i) q^{28} +(-0.276806 - 0.668268i) q^{29} +(5.81301 + 7.14594i) q^{30} -2.75551i q^{31} +(-1.90779 + 5.32544i) q^{32} +(11.7063 + 11.7063i) q^{33} +(0.449006 + 0.269171i) q^{34} +(0.855217 + 0.781763i) q^{35} +(-10.4982 - 3.18636i) q^{36} +(1.66881 + 4.02887i) q^{37} +(-5.95229 - 8.02702i) q^{38} +(-7.29415 - 7.29415i) q^{39} +(-0.0283149 + 6.32449i) q^{40} +(-5.14053 + 5.14053i) q^{41} +(-2.11156 - 0.313387i) q^{42} +(1.26731 - 0.524937i) q^{43} +(1.11236 + 11.3119i) q^{44} +(-12.2537 + 0.549847i) q^{45} +(0.630191 + 2.51669i) q^{46} +(-2.43291 + 2.43291i) q^{47} +(-6.47051 - 9.69027i) q^{48} +6.73149 q^{49} +(2.32504 + 6.67789i) q^{50} +(-0.996237 + 0.412655i) q^{51} +(-0.693108 - 7.04839i) q^{52} +(1.16982 + 2.82419i) q^{53} +(8.22489 - 6.09901i) q^{54} +(5.38456 + 11.5109i) q^{55} +(-0.984007 - 1.08619i) q^{56} +20.5839 q^{57} +(0.609301 + 0.821680i) q^{58} +(-1.58456 + 3.82546i) q^{59} +(-10.4294 - 7.80633i) q^{60} +(7.12914 - 2.95299i) q^{61} +(0.946573 + 3.78017i) q^{62} +(2.00995 - 2.00995i) q^{63} +(0.787820 - 7.96111i) q^{64} +(-3.35511 - 7.17241i) q^{65} +(-20.0807 - 12.0380i) q^{66} +(-3.19769 - 1.32452i) q^{67} +(-0.708438 - 0.215022i) q^{68} +(-4.93714 - 2.04503i) q^{69} +(-1.44179 - 0.778683i) q^{70} +(10.6198 - 10.6198i) q^{71} +(15.4966 + 0.764893i) q^{72} +1.13676 q^{73} +(-3.67337 - 4.95376i) q^{74} +(-13.9014 - 4.34619i) q^{75} +(10.9231 + 8.96721i) q^{76} +(-2.72075 - 1.12697i) q^{77} +(12.5122 + 7.50085i) q^{78} +8.62977i q^{79} +(-2.13375 - 8.68603i) q^{80} +4.63461i q^{81} +(5.28620 - 8.81795i) q^{82} +(-6.87768 - 2.84883i) q^{83} +(3.00442 - 0.295441i) q^{84} +(-0.826905 + 0.0371047i) q^{85} +(-1.55824 + 1.15549i) q^{86} -2.10705 q^{87} +(-5.41185 - 15.1361i) q^{88} +(-1.30140 + 1.30140i) q^{89} +(16.6215 - 4.96372i) q^{90} +(1.69529 + 0.702213i) q^{91} +(-1.72906 - 3.23605i) q^{92} +(-7.41579 - 3.07172i) q^{93} +(2.50186 - 4.17336i) q^{94} +(14.8542 + 5.38616i) q^{95} +(12.2054 + 11.0709i) q^{96} +(-9.70520 + 9.70520i) q^{97} +(-9.23465 + 2.31240i) q^{98} +(28.8024 - 11.9304i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 88 q - 4 q^{2} - 4 q^{3} - 4 q^{5} - 8 q^{6} - 16 q^{8}+O(q^{10}) \) 88 * q - 4 * q^2 - 4 * q^3 - 4 * q^5 - 8 * q^6 - 16 * q^8	\( 88 q - 4 q^{2} - 4 q^{3} - 4 q^{5} - 8 q^{6} - 16 q^{8} - 16 q^{10} - 8 q^{11} - 20 q^{12} - 4 q^{13} + 16 q^{14} - 8 q^{15} - 8 q^{16} + 4 q^{18} + 16 q^{19} + 24 q^{20} - 8 q^{21} - 20 q^{22} - 32 q^{24} - 4 q^{25} - 8 q^{26} - 16 q^{27} + 12 q^{28} + 8 q^{30} - 24 q^{32} - 8 q^{33} + 8 q^{34} - 8 q^{35} - 8 q^{36} - 4 q^{37} - 60 q^{38} + 16 q^{40} - 8 q^{41} + 60 q^{42} - 36 q^{43} + 16 q^{44} - 4 q^{45} - 8 q^{46} - 8 q^{47} - 24 q^{48} - 40 q^{49} - 12 q^{50} + 8 q^{51} - 56 q^{52} - 4 q^{53} - 56 q^{54} - 36 q^{55} + 40 q^{56} - 8 q^{57} - 36 q^{58} + 12 q^{60} - 40 q^{61} + 40 q^{62} + 56 q^{63} + 48 q^{64} - 8 q^{65} + 72 q^{66} + 20 q^{67} + 8 q^{68} + 24 q^{69} + 60 q^{70} + 24 q^{71} + 24 q^{72} - 8 q^{73} + 8 q^{75} + 56 q^{76} + 24 q^{77} + 32 q^{78} - 8 q^{80} + 84 q^{82} - 44 q^{83} + 56 q^{84} - 4 q^{85} + 24 q^{86} - 120 q^{87} + 104 q^{88} + 148 q^{90} - 8 q^{91} + 124 q^{92} + 8 q^{93} - 32 q^{94} + 24 q^{96} - 8 q^{97} - 16 q^{98}+O(q^{100}) \) 88 * q - 4 * q^2 - 4 * q^3 - 4 * q^5 - 8 * q^6 - 16 * q^8 - 16 * q^10 - 8 * q^11 - 20 * q^12 - 4 * q^13 + 16 * q^14 - 8 * q^15 - 8 * q^16 + 4 * q^18 + 16 * q^19 + 24 * q^20 - 8 * q^21 - 20 * q^22 - 32 * q^24 - 4 * q^25 - 8 * q^26 - 16 * q^27 + 12 * q^28 + 8 * q^30 - 24 * q^32 - 8 * q^33 + 8 * q^34 - 8 * q^35 - 8 * q^36 - 4 * q^37 - 60 * q^38 + 16 * q^40 - 8 * q^41 + 60 * q^42 - 36 * q^43 + 16 * q^44 - 4 * q^45 - 8 * q^46 - 8 * q^47 - 24 * q^48 - 40 * q^49 - 12 * q^50 + 8 * q^51 - 56 * q^52 - 4 * q^53 - 56 * q^54 - 36 * q^55 + 40 * q^56 - 8 * q^57 - 36 * q^58 + 12 * q^60 - 40 * q^61 + 40 * q^62 + 56 * q^63 + 48 * q^64 - 8 * q^65 + 72 * q^66 + 20 * q^67 + 8 * q^68 + 24 * q^69 + 60 * q^70 + 24 * q^71 + 24 * q^72 - 8 * q^73 + 8 * q^75 + 56 * q^76 + 24 * q^77 + 32 * q^78 - 8 * q^80 + 84 * q^82 - 44 * q^83 + 56 * q^84 - 4 * q^85 + 24 * q^86 - 120 * q^87 + 104 * q^88 + 148 * q^90 - 8 * q^91 + 124 * q^92 + 8 * q^93 - 32 * q^94 + 24 * q^96 - 8 * q^97 - 16 * q^98

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