LMFDB - Embedded newform 160.2.u.a.43.15

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			43.15
Character	$\chi$	$=$	160.43
Dual form			160.2.u.a.67.15

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.640905 + 1.26065i) q^{2} +(0.0983610 - 0.237464i) q^{3} +(-1.17848 + 1.61591i) q^{4} +(1.44168 - 1.70926i) q^{5} +(0.362400 - 0.0281932i) q^{6} +4.12414i q^{7} +(-2.79240 - 0.450008i) q^{8} +(2.07461 + 2.07461i) q^{9} +O(q^{10})$	\(q+(0.640905 + 1.26065i) q^{2} +(0.0983610 - 0.237464i) q^{3} +(-1.17848 + 1.61591i) q^{4} +(1.44168 - 1.70926i) q^{5} +(0.362400 - 0.0281932i) q^{6} +4.12414i q^{7} +(-2.79240 - 0.450008i) q^{8} +(2.07461 + 2.07461i) q^{9} +(3.07876 + 0.721985i) q^{10} +(0.648455 - 1.56551i) q^{11} +(0.267805 + 0.438790i) q^{12} +(0.641689 - 1.54917i) q^{13} +(-5.19910 + 2.64318i) q^{14} +(-0.264083 - 0.510472i) q^{15} +(-1.22236 - 3.80865i) q^{16} +(-4.72586 - 4.72586i) q^{17} +(-1.28573 + 3.94498i) q^{18} +(-0.413548 - 0.998394i) q^{19} +(1.06302 + 4.34396i) q^{20} +(0.979336 + 0.405654i) q^{21} +(2.38916 - 0.185866i) q^{22} +0.650047i q^{23} +(-0.381524 + 0.618832i) q^{24} +(-0.843118 - 4.92840i) q^{25} +(2.36423 - 0.183927i) q^{26} +(1.40910 - 0.583668i) q^{27} +(-6.66426 - 4.86023i) q^{28} +(-1.40538 - 3.39288i) q^{29} +(0.474275 - 0.660080i) q^{30} -1.22685i q^{31} +(4.01797 - 3.98195i) q^{32} +(-0.307970 - 0.307970i) q^{33} +(2.92883 - 8.98648i) q^{34} +(7.04921 + 5.94569i) q^{35} +(-5.79727 + 0.907499i) q^{36} +(2.14788 + 5.18545i) q^{37} +(0.993581 - 1.16122i) q^{38} +(-0.304756 - 0.304756i) q^{39} +(-4.79493 + 4.12416i) q^{40} +(6.54457 - 6.54457i) q^{41} +(0.116273 + 1.49459i) q^{42} +(-6.89471 + 2.85588i) q^{43} +(1.76554 + 2.89277i) q^{44} +(6.53695 - 0.555116i) q^{45} +(-0.819482 + 0.416618i) q^{46} +(-6.12116 + 6.12116i) q^{47} +(-1.02465 - 0.0843562i) q^{48} -10.0085 q^{49} +(5.67264 - 4.22151i) q^{50} +(-1.58706 + 0.657383i) q^{51} +(1.74711 + 2.86259i) q^{52} +(3.72357 + 8.98950i) q^{53} +(1.63890 + 1.40231i) q^{54} +(-1.74099 - 3.36534i) q^{55} +(1.85590 - 11.5162i) q^{56} -0.277760 q^{57} +(3.37653 - 3.94621i) q^{58} +(5.15691 - 12.4499i) q^{59} +(1.13610 + 0.174847i) q^{60} +(0.373056 - 0.154525i) q^{61} +(1.54663 - 0.786295i) q^{62} +(-8.55596 + 8.55596i) q^{63} +(7.59499 + 2.51320i) q^{64} +(-1.72283 - 3.33022i) q^{65} +(0.190863 - 0.585622i) q^{66} +(-10.2628 - 4.25100i) q^{67} +(13.2059 - 2.06724i) q^{68} +(0.154363 + 0.0639392i) q^{69} +(-2.97757 + 12.6972i) q^{70} +(-2.53418 + 2.53418i) q^{71} +(-4.85954 - 6.72672i) q^{72} -5.66366 q^{73} +(-5.16046 + 6.03111i) q^{74} +(-1.25325 - 0.284552i) q^{75} +(2.10068 + 0.508331i) q^{76} +(6.45638 + 2.67432i) q^{77} +(0.188872 - 0.579511i) q^{78} +11.8936i q^{79} +(-8.27222 - 3.40153i) q^{80} +8.40979i q^{81} +(12.4449 + 4.05598i) q^{82} +(15.6367 + 6.47691i) q^{83} +(-1.80963 + 1.10447i) q^{84} +(-14.8909 + 1.26453i) q^{85} +(-8.01912 - 6.86147i) q^{86} -0.943923 q^{87} +(-2.51524 + 4.07972i) q^{88} +(-6.18006 + 6.18006i) q^{89} +(4.88937 + 7.88504i) q^{90} +(6.38901 + 2.64641i) q^{91} +(-1.05042 - 0.766068i) q^{92} +(-0.291334 - 0.120674i) q^{93} +(-11.6397 - 3.79357i) q^{94} +(-2.30272 - 0.732504i) q^{95} +(-0.550360 - 1.34579i) q^{96} +(0.138522 - 0.138522i) q^{97} +(-6.41451 - 12.6173i) q^{98} +(4.59310 - 1.90253i) 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 $

$2$	0.640905	+	1.26065i	0.453188	+	0.891415i
$2$	0.640905	+	1.26065i	0.453188	+	0.891415i
$3$	0.0983610	−	0.237464i	0.0567887	−	0.137100i	−0.892939	−	0.450179i	$-0.851360\pi$
$3$	0.0983610	−	0.237464i	0.0567887	−	0.137100i	0.949727	+	0.313079i	$0.101360\pi$
$4$	−1.17848	+	1.61591i	−0.589241	+	0.807957i
$5$	1.44168	−	1.70926i	0.644739	−	0.764403i
$5$	1.44168	−	1.70926i	0.644739	−	0.764403i
$6$	0.362400	−	0.0281932i	0.147949	−	0.0115098i
$7$			4.12414i			1.55878i	0.626540	+	0.779389i	$0.284470\pi$
$7$			4.12414i			1.55878i	−0.626540	+	0.779389i	$0.715530\pi$
$8$	−2.79240	−	0.450008i	−0.987262	−	0.159102i
$9$	2.07461	+	2.07461i	0.691535	+	0.691535i
$10$	3.07876	+	0.721985i	0.973588	+	0.228312i
$11$	0.648455	−	1.56551i	0.195517	−	0.472019i	−0.795468	−	0.605996i	$-0.792775\pi$
$11$	0.648455	−	1.56551i	0.195517	−	0.472019i	0.990984	+	0.133977i	$0.0427748\pi$
$12$	0.267805	+	0.438790i	0.0773088	+	0.126668i
$13$	0.641689	−	1.54917i	0.177972	−	0.429664i	−0.809569	−	0.587025i	$-0.800299\pi$
$13$	0.641689	−	1.54917i	0.177972	−	0.429664i	0.987541	+	0.157362i	$0.0502989\pi$
$14$	−5.19910	+	2.64318i	−1.38952	+	0.706420i
$15$	−0.264083	−	0.510472i	−0.0681858	−	0.131803i
$16$	−1.22236	−	3.80865i	−0.305590	−	0.952163i
$17$	−4.72586	−	4.72586i	−1.14619	−	1.14619i	−0.987296	−	0.158893i	$-0.949208\pi$
$17$	−4.72586	−	4.72586i	−1.14619	−	1.14619i	−0.158893	−	0.987296i	$-0.550792\pi$
$18$	−1.28573	+	3.94498i	−0.303049	+	0.929840i
$19$	−0.413548	−	0.998394i	−0.0948745	−	0.229047i	0.869317	−	0.494256i	$-0.164559\pi$
$19$	−0.413548	−	0.998394i	−0.0948745	−	0.229047i	−0.964191	+	0.265208i	$0.914559\pi$
$20$	1.06302	+	4.34396i	0.237698	+	0.971339i
$21$	0.979336	+	0.405654i	0.213709	+	0.0885210i
$22$	2.38916	−	0.185866i	0.509370	−	0.0396269i
$23$			0.650047i			0.135544i	0.997701	+	0.0677720i	$0.0215891\pi$
$23$			0.650047i			0.135544i	−0.997701	+	0.0677720i	$0.978411\pi$
$24$	−0.381524	+	0.618832i	−0.0778782	+	0.126319i
$25$	−0.843118	−	4.92840i	−0.168624	−	0.985681i
$26$	2.36423	−	0.183927i	0.463664	−	0.0360711i
$27$	1.40910	−	0.583668i	0.271181	−	0.112327i
$28$	−6.66426	−	4.86023i	−1.25943	−	0.918496i
$29$	−1.40538	−	3.39288i	−0.260972	−	0.630043i	0.738027	−	0.674771i	$-0.235758\pi$
$29$	−1.40538	−	3.39288i	−0.260972	−	0.630043i	−0.998999	+	0.0447286i	$0.985758\pi$
$30$	0.474275	−	0.660080i	0.0865904	−	0.120514i
$31$		−	1.22685i		−	0.220349i	−0.993912	−	0.110175i	$-0.964859\pi$
$31$		−	1.22685i		−	0.220349i	0.993912	−	0.110175i	$-0.0351410\pi$
$32$	4.01797	−	3.98195i	0.710283	−	0.703916i
$33$	−0.307970	−	0.307970i	−0.0536107	−	0.0536107i
$34$	2.92883	−	8.98648i	0.502291	−	1.54117i
$35$	7.04921	+	5.94569i	1.19153	+	1.00500i
$36$	−5.79727	+	0.907499i	−0.966212	+	0.151250i
$37$	2.14788	+	5.18545i	0.353110	+	0.852483i	0.996233	+	0.0867199i	$0.0276385\pi$
$37$	2.14788	+	5.18545i	0.353110	+	0.852483i	−0.643123	+	0.765763i	$0.722361\pi$
$38$	0.993581	−	1.16122i	0.161180	−	0.188374i
$39$	−0.304756	−	0.304756i	−0.0488001	−	0.0488001i
$40$	−4.79493	+	4.12416i	−0.758144	+	0.652087i
$41$	6.54457	−	6.54457i	1.02209	−	1.02209i	0.0223401	−	0.999750i	$-0.492888\pi$
$41$	6.54457	−	6.54457i	1.02209	−	1.02209i	0.999750	−	0.0223401i	$-0.00711167\pi$
$42$	0.116273	+	1.49459i	0.0179412	+	0.230620i
$43$	−6.89471	+	2.85588i	−1.05143	+	0.435518i	−0.840403	−	0.541962i	$-0.817682\pi$
$43$	−6.89471	+	2.85588i	−1.05143	+	0.435518i	−0.211030	+	0.977480i	$0.567682\pi$
$44$	1.76554	+	2.89277i	0.266165	+	0.436102i
$45$	6.53695	−	0.555116i	0.974471	−	0.0827519i
$46$	−0.819482	+	0.416618i	−0.120826	+	0.0614270i
$47$	−6.12116	+	6.12116i	−0.892863	+	0.892863i	−0.994792	−	0.101929i	$-0.967499\pi$
$47$	−6.12116	+	6.12116i	−0.892863	+	0.892863i	0.101929	+	0.994792i	$0.467499\pi$
$48$	−1.02465	−	0.0843562i	−0.147896	−	0.0121758i
$49$	−10.0085			−1.42979
$50$	5.67264	−	4.22151i	0.802232	−	0.597012i
$51$	−1.58706	+	0.657383i	−0.222233	+	0.0920520i
$52$	1.74711	+	2.86259i	0.242281	+	0.396970i
$53$	3.72357	+	8.98950i	0.511472	+	1.23480i	0.943027	+	0.332716i	$0.107965\pi$
$53$	3.72357	+	8.98950i	0.511472	+	1.23480i	−0.431555	+	0.902087i	$0.642035\pi$
$54$	1.63890	+	1.40231i	0.223026	+	0.190830i
$55$	−1.74099	−	3.36534i	−0.234755	−	0.453782i
$56$	1.85590	−	11.5162i	0.248005	−	1.53892i
$57$	−0.277760			−0.0367902
$58$	3.37653	−	3.94621i	0.443360	−	0.518162i
$59$	5.15691	−	12.4499i	0.671372	−	1.62084i	−0.107908	−	0.994161i	$-0.534415\pi$
$59$	5.15691	−	12.4499i	0.671372	−	1.62084i	0.779280	−	0.626676i	$-0.215585\pi$
$60$	1.13610	+	0.174847i	0.146669	+	0.0225727i
$61$	0.373056	−	0.154525i	0.0477650	−	0.0197849i	−0.358673	−	0.933463i	$-0.616771\pi$
$61$	0.373056	−	0.154525i	0.0477650	−	0.0197849i	0.406438	+	0.913678i	$0.366771\pi$
$62$	1.54663	−	0.786295i	0.196423	−	0.0998596i
$63$	−8.55596	+	8.55596i	−1.07795	+	1.07795i
$64$	7.59499	+	2.51320i	0.949373	+	0.314151i
$65$	−1.72283	−	3.33022i	−0.213690	−	0.413063i
$66$	0.190863	−	0.585622i	0.0234937	−	0.0720851i
$67$	−10.2628	−	4.25100i	−1.25380	−	0.519342i	−0.345801	−	0.938308i	$-0.612393\pi$
$67$	−10.2628	−	4.25100i	−1.25380	−	0.519342i	−0.908002	+	0.418965i	$0.862393\pi$
$68$	13.2059	−	2.06724i	1.60145	−	0.250690i
$69$	0.154363	+	0.0639392i	0.0185831	+	0.00769738i
$70$	−2.97757	+	12.6972i	−0.355887	+	1.51761i
$71$	−2.53418	+	2.53418i	−0.300752	+	0.300752i	−0.841308	−	0.540556i	$-0.818214\pi$
$71$	−2.53418	+	2.53418i	−0.300752	+	0.300752i	0.540556	+	0.841308i	$0.318214\pi$
$72$	−4.85954	−	6.72672i	−0.572702	−	0.792751i
$73$	−5.66366			−0.662881			−0.331441	−	0.943476i	$-0.607535\pi$
$73$	−5.66366			−0.662881			−0.331441	+	0.943476i	$0.607535\pi$
$74$	−5.16046	+	6.03111i	−0.599891	+	0.701103i
$75$	−1.25325	−	0.284552i	−0.144713	−	0.0328572i
$76$	2.10068	+	0.508331i	0.240964	+	0.0583096i
$77$	6.45638	+	2.67432i	0.735773	+	0.304767i
$78$	0.188872	−	0.579511i	0.0213855	−	0.0656168i
$79$			11.8936i			1.33814i	0.743200	+	0.669069i	$0.233307\pi$
$79$			11.8936i			1.33814i	−0.743200	+	0.669069i	$0.766693\pi$
$80$	−8.27222	−	3.40153i	−0.924862	−	0.380303i
$81$			8.40979i			0.934421i
$82$	12.4449	+	4.05598i	1.37431	+	0.447908i
$83$	15.6367	+	6.47691i	1.71635	+	0.710934i	0.999912	+	0.0132782i	$0.00422671\pi$
$83$	15.6367	+	6.47691i	1.71635	+	0.710934i	0.716434	+	0.697655i	$0.245773\pi$
$84$	−1.80963	+	1.10447i	−0.197447	+	0.120507i
$85$	−14.8909	+	1.26453i	−1.61514	+	0.137158i
$86$	−8.01912	−	6.86147i	−0.864724	−	0.739892i
$87$	−0.943923			−0.101199
$88$	−2.51524	+	4.07972i	−0.268125	+	0.434899i
$89$	−6.18006	+	6.18006i	−0.655085	+	0.655085i	−0.954213	−	0.299128i	$-0.903304\pi$
$89$	−6.18006	+	6.18006i	−0.655085	+	0.655085i	0.299128	+	0.954213i	$0.403304\pi$
$90$	4.88937	+	7.88504i	0.515385	+	0.831156i
$91$	6.38901	+	2.64641i	0.669750	+	0.277420i
$92$	−1.05042	−	0.766068i	−0.109514	−	0.0798681i
$93$	−0.291334	−	0.120674i	−0.0302099	−	0.0125133i
$94$	−11.6397	−	3.79357i	−1.20055	−	0.391276i
$95$	−2.30272	−	0.732504i	−0.236254	−	0.0751533i
$96$	−0.550360	−	1.34579i	−0.0561709	−	0.137354i
$97$	0.138522	−	0.138522i	0.0140647	−	0.0140647i	−0.700039	−	0.714104i	$-0.746834\pi$
$97$	0.138522	−	0.138522i	0.0140647	−	0.0140647i	0.714104	+	0.700039i	$0.246834\pi$
$98$	−6.41451	−	12.6173i	−0.647963	−	1.27454i
$99$	4.59310	−	1.90253i	0.461624	−	0.191211i
$100$	8.95748	+	4.44563i	0.895748	+	0.444563i
$101$	−3.42504	+	8.26878i	−0.340804	+	0.822775i	0.656830	+	0.754038i	$0.271897\pi$
$101$	−3.42504	+	8.26878i	−0.340804	+	0.822775i	−0.997635	+	0.0687364i	$0.978103\pi$
$102$	−1.84589	−	1.57941i	−0.182770	−	0.156385i
$103$	7.40468			0.729605			0.364802	−	0.931085i	$-0.381137\pi$
$103$	7.40468			0.729605			0.364802	+	0.931085i	$0.381137\pi$
$104$	−2.48899	+	4.03715i	−0.244066	+	0.395875i
$105$	2.10526	−	1.08911i	0.205452	−	0.106287i
$106$	−8.94617	+	10.4555i	−0.868928	+	1.01553i
$107$	−3.73389	−	9.01441i	−0.360969	−	0.871456i	−0.995159	−	0.0982786i	$-0.968666\pi$
$107$	−3.73389	−	9.01441i	−0.360969	−	0.871456i	0.634190	−	0.773177i	$-0.281334\pi$
$108$	−0.717441	+	2.96482i	−0.0690358	+	0.285290i
$109$	3.31048	−	1.37124i	0.317086	−	0.131341i	−0.218463	−	0.975845i	$-0.570104\pi$
$109$	3.31048	−	1.37124i	0.317086	−	0.131341i	0.535550	+	0.844504i	$0.320104\pi$
$110$	3.12671	−	4.35165i	0.298120	−	0.414913i
$111$	1.44263			0.136928
$112$	15.7074	−	5.04118i	1.48421	−	0.476346i
$113$	4.07143	−	4.07143i	0.383008	−	0.383008i	−0.489177	−	0.872185i	$-0.662703\pi$
$113$	4.07143	−	4.07143i	0.383008	−	0.383008i	0.872185	+	0.489177i	$0.162703\pi$
$114$	−0.178018	−	0.350158i	−0.0166729	−	0.0327953i
$115$	1.11110	+	0.937159i	0.103610	+	0.0873905i
$116$	7.13882	+	1.72748i	0.662823	+	0.160393i
$117$	4.54518	−	1.88267i	0.420202	−	0.174053i
$118$	19.0000	−	1.47812i	1.74910	−	0.136072i
$119$	19.4901	−	19.4901i	1.78665	−	1.78665i
$120$	0.507707	+	1.54428i	0.0463471	+	0.140973i
$121$	5.74785	+	5.74785i	0.522532	+	0.522532i
$122$	0.433896	+	0.371258i	0.0392831	+	0.0336121i
$123$	−0.910372	−	2.19783i	−0.0820855	−	0.198172i
$124$	1.98249	+	1.44582i	0.178033	+	0.129839i
$125$	−9.63941	−	5.66408i	−0.862175	−	0.506610i
$126$	−16.2696	−	5.30253i	−1.44941	−	0.472387i
$127$	−7.75203	−	7.75203i	−0.687882	−	0.687882i	0.273882	−	0.961763i	$-0.411692\pi$
$127$	−7.75203	−	7.75203i	−0.687882	−	0.687882i	−0.961763	+	0.273882i	$0.911692\pi$
$128$	1.69939	+	11.1854i	0.150206	+	0.988655i
$129$			1.91815i			0.168884i
$130$	3.09408	−	4.30624i	0.271369	−	0.377682i
$131$	−0.787294	−	1.90070i	−0.0687862	−	0.166065i	0.885748	−	0.464167i	$-0.153646\pi$
$131$	−0.787294	−	1.90070i	−0.0687862	−	0.166065i	−0.954534	+	0.298102i	$0.903646\pi$
$132$	0.860590	−	0.134716i	0.0749048	−	0.0117255i
$133$	4.11751	−	1.70553i	0.357034	−	0.147888i
$134$	−1.21846	−	15.6623i	−0.105259	−	1.35302i
$135$	1.03383	−	3.24997i	0.0889780	−	0.279713i
$136$	11.0698	+	15.3232i	0.949228	+	1.31395i
$137$			19.4309i			1.66009i	0.557696	+	0.830045i	$0.311685\pi$
$137$			19.4309i			1.66009i	−0.557696	+	0.830045i	$0.688315\pi$
$138$	0.0183269	+	0.235577i	0.00156009	+	0.0200536i
$139$	−13.7210	−	5.68342i	−1.16380	−	0.482061i	−0.284661	−	0.958628i	$-0.591881\pi$
$139$	−13.7210	−	5.68342i	−1.16380	−	0.482061i	−0.879138	+	0.476567i	$0.841881\pi$
$140$	−17.9151	+	4.38403i	−1.51410	+	0.370519i
$141$	0.851474	+	2.05564i	0.0717070	+	0.173116i
$142$	−4.81889	−	1.57055i	−0.404392	−	0.131798i
$143$	−2.00914	−	2.00914i	−0.168013	−	0.168013i
$144$	5.36554	−	10.4374i	0.447129	−	0.869781i
$145$	−7.82541	−	2.48930i	−0.649865	−	0.206725i
$146$	−3.62987	−	7.13990i	−0.300410	−	0.590902i
$147$	−0.984448	+	2.37667i	−0.0811959	+	0.196024i
$148$	−10.9105	−	2.64017i	−0.896837	−	0.217020i
$149$	−0.750543	+	1.81197i	−0.0614869	+	0.148442i	−0.951637	−	0.307225i	$-0.900599\pi$
$149$	−0.750543	+	1.81197i	−0.0614869	+	0.148442i	0.890150	+	0.455668i	$0.150599\pi$
$150$	−0.444493	−	1.76228i	−0.0362927	−	0.143890i
$151$	−3.75531	−	3.75531i	−0.305603	−	0.305603i	0.537598	−	0.843201i	$-0.319332\pi$
$151$	−3.75531	−	3.75531i	−0.305603	−	0.305603i	−0.843201	+	0.537598i	$0.819332\pi$
$152$	0.705506	+	2.97401i	0.0572241	+	0.241224i
$153$		−	19.6086i		−	1.58526i
$154$	0.766539	+	9.85323i	0.0617695	+	0.793996i
$155$	−2.09701	−	1.76873i	−0.168436	−	0.142068i
$156$	0.851611	−	0.133310i	0.0681834	−	0.0106734i
$157$	2.91986	−	7.04915i	0.233030	−	0.562584i	−0.763501	−	0.645806i	$-0.776521\pi$
$157$	2.91986	−	7.04915i	0.233030	−	0.562584i	0.996531	+	0.0832227i	$0.0265213\pi$
$158$	−14.9937	+	7.62268i	−1.19284	+	0.606428i
$159$	2.50094			0.198337
$160$	−1.01355	−	12.6084i	−0.0801284	−	0.996785i
$161$	−2.68088			−0.211283
$162$	−10.6018	+	5.38987i	−0.832957	+	0.423468i
$163$	4.23448	−	10.2229i	0.331670	−	0.800723i	−0.666790	−	0.745246i	$-0.732332\pi$
$163$	4.23448	−	10.2229i	0.331670	−	0.800723i	0.998460	−	0.0554768i	$-0.0176679\pi$
$164$	2.86281	+	18.2881i	0.223548	+	1.42806i
$165$	−0.970394	+	0.0824056i	−0.0755451	+	0.00641527i
$166$	1.85648	+	23.8634i	0.144090	+	1.85216i
$167$		−	5.68173i		−	0.439666i	−0.975538	−	0.219833i	$-0.929449\pi$
$167$		−	5.68173i		−	0.439666i	0.975538	−	0.219833i	$-0.0705512\pi$
$168$	−2.55215	−	1.57346i	−0.196903	−	0.121395i
$169$	7.20421	+	7.20421i	0.554170	+	0.554170i
$170$	−11.1378	−	17.9618i	−0.854228	−	1.37760i
$171$	1.21332	−	2.92922i	0.0927852	−	0.224003i
$172$	3.51043	−	14.5069i	0.267668	−	1.10614i
$173$	−2.88514	+	6.96534i	−0.219353	+	0.529565i	−0.994800	−	0.101848i	$-0.967525\pi$
$173$	−2.88514	+	6.96534i	−0.219353	+	0.529565i	0.775447	+	0.631413i	$0.217525\pi$
$174$	−0.604965	−	1.18996i	−0.0458623	−	0.0902105i
$175$	20.3254	−	3.47713i	1.53646	−	0.262847i
$176$	−6.75513	−	0.556127i	−0.509187	−	0.0419197i
$177$	−2.44916	−	2.44916i	−0.184090	−	0.184090i
$178$	−11.7517	−	3.83007i	−0.880829	−	0.287076i
$179$	4.28195	+	10.3375i	0.320048	+	0.772664i	0.999250	+	0.0387130i	$0.0123258\pi$
$179$	4.28195	+	10.3375i	0.320048	+	0.772664i	−0.679202	+	0.733951i	$0.737674\pi$
$180$	−6.80666	+	11.2173i	−0.507339	+	0.836092i
$181$	10.6335	+	4.40455i	0.790383	+	0.327387i	0.741098	−	0.671397i	$-0.234306\pi$
$181$	10.6335	+	4.40455i	0.790383	+	0.327387i	0.0492855	+	0.998785i	$0.484306\pi$
$182$	0.758541	+	9.75041i	0.0562268	+	0.722749i
$183$		−	0.103787i		−	0.00767214i
$184$	0.292526	−	1.81519i	0.0215653	−	0.133818i
$185$	11.9598	+	3.80448i	0.879304	+	0.279711i
$186$	−0.0345888	−	0.444611i	−0.00253618	−	0.0326004i
$187$	−10.4629	+	4.33387i	−0.765122	+	0.316924i
$188$	−2.67759	−	17.1049i	−0.195283	−	1.24751i
$189$	2.40713	+	5.81132i	0.175093	+	0.422711i
$190$	−0.552389	−	3.37239i	−0.0400745	−	0.244659i
$191$		−	23.5765i		−	1.70594i	−0.521962	−	0.852969i	$-0.674800\pi$
$191$		−	23.5765i		−	1.70594i	0.521962	−	0.852969i	$-0.325200\pi$
$192$	1.34385	−	1.55634i	0.0969838	−	0.112319i
$193$	−3.31149	−	3.31149i	−0.238366	−	0.238366i	0.577807	−	0.816173i	$-0.303909\pi$
$193$	−3.31149	−	3.31149i	−0.238366	−	0.238366i	−0.816173	+	0.577807i	$0.803909\pi$
$194$	0.263407	+	0.0858483i	0.0189115	+	0.00616355i
$195$	−0.960268	+	0.0815458i	−0.0687663	+	0.00583961i
$196$	11.7949	−	16.1729i	0.842491	−	1.15521i
$197$	−4.19561	−	10.1291i	−0.298925	−	0.721668i	−0.999963	−	0.00854507i	$-0.997280\pi$
$197$	−4.19561	−	10.1291i	−0.298925	−	0.721668i	0.701039	−	0.713123i	$-0.252720\pi$
$198$	5.34216	+	4.57096i	0.379651	+	0.324844i
$199$	12.7775	+	12.7775i	0.905774	+	0.905774i	0.995928	−	0.0901534i	$-0.0287357\pi$
$199$	12.7775	+	12.7775i	0.905774	+	0.905774i	−0.0901534	+	0.995928i	$0.528736\pi$
$200$	0.136500	+	14.1415i	0.00965198	+	0.999953i
$201$	−2.01892	+	2.01892i	−0.142404	+	0.142404i
$202$	−12.6192	+	0.981719i	−0.887882	+	0.0690735i
$203$	13.9927	−	5.79598i	0.982097	−	0.406798i
$204$	0.808051	−	3.33927i	0.0565749	−	0.233796i
$205$	−1.75118	−	20.6215i	−0.122307	−	1.44027i
$206$	4.74569	+	9.33472i	0.330648	+	0.650381i
$207$	−1.34859	+	1.34859i	−0.0937335	+	0.0937335i
$208$	−6.68464	−	0.550325i	−0.463496	−	0.0381581i
$209$	−1.83116			−0.126664
$210$	2.72226	+	1.95598i	0.187854	+	0.134975i
$211$	−12.5762	+	5.20922i	−0.865780	+	0.358618i	−0.770965	−	0.636877i	$-0.780226\pi$
$211$	−12.5762	+	5.20922i	−0.865780	+	0.358618i	−0.0948144	+	0.995495i	$0.530226\pi$
$212$	−18.9144	−	4.57699i	−1.29905	−	0.314349i
$213$	0.352513	+	0.851042i	0.0241538	+	0.0583124i
$214$	8.97095	−	10.4845i	0.613242	−	0.716706i
$215$	−5.05853	+	15.9021i	−0.344989	+	1.08451i
$216$	−4.19742	+	0.995727i	−0.285598	+	0.0677507i
$217$	5.05971			0.343475
$218$	3.85036	+	3.29452i	0.260779	+	0.223133i
$219$	−0.557083	+	1.34492i	−0.0376442	+	0.0908811i
$220$	7.48983	+	1.15270i	0.504964	+	0.0777150i
$221$	−10.3537	+	4.28865i	−0.696466	+	0.288486i
$222$	0.924587	+	1.81865i	0.0620542	+	0.122060i
$223$	−14.7815	+	14.7815i	−0.989844	+	0.989844i	−0.999949	−	0.0101049i	$-0.996783\pi$
$223$	−14.7815	+	14.7815i	−0.989844	+	0.989844i	0.0101049	+	0.999949i	$0.496783\pi$
$224$	16.4221	+	16.5707i	1.09725	+	1.10717i
$225$	8.47536	−	11.9736i	0.565024	−	0.798242i
$226$	7.74206	+	2.52326i	0.514994	+	0.167844i
$227$	15.1344	+	6.26888i	1.00451	+	0.416080i	0.823448	−	0.567392i	$-0.192048\pi$
$227$	15.1344	+	6.26888i	1.00451	+	0.416080i	0.181059	+	0.983472i	$0.442048\pi$
$228$	0.327335	−	0.448836i	0.0216783	−	0.0297249i
$229$	0.547116	+	0.226623i	0.0361545	+	0.0149757i	0.400687	−	0.916215i	$-0.368771\pi$
$229$	0.547116	+	0.226623i	0.0361545	+	0.0149757i	−0.364533	+	0.931190i	$0.618771\pi$
$230$	−0.469324	+	2.00133i	−0.0309463	+	0.131964i
$231$	1.27011	−	1.27011i	0.0835672	−	0.0835672i
$232$	2.39755	+	10.1067i	0.157407	+	0.663538i
$233$	−2.46903			−0.161751			−0.0808756	−	0.996724i	$-0.525772\pi$
$233$	−2.46903			−0.161751			−0.0808756	+	0.996724i	$0.525772\pi$
$234$	5.28642	+	4.52327i	0.345584	+	0.295695i
$235$	1.63788	+	19.2874i	0.106843	+	1.25817i
$236$	14.0406	+	23.0051i	0.913966	+	1.49750i
$237$	2.82431	+	1.16987i	0.183459	+	0.0759912i
$238$	37.0615	+	12.0789i	2.40234	+	0.782960i
$239$		−	20.9501i		−	1.35515i	−0.735453	−	0.677576i	$-0.763030\pi$
$239$		−	20.9501i		−	1.35515i	0.735453	−	0.677576i	$-0.236970\pi$
$240$	−1.62141	+	1.62978i	−0.104661	+	0.105202i
$241$			18.1090i			1.16650i	0.812291	+	0.583252i	$0.198220\pi$
$241$			18.1090i			1.16650i	−0.812291	+	0.583252i	$0.801780\pi$
$242$	−3.56221	+	10.9299i	−0.228987	+	0.702598i
$243$	6.22432	+	2.57820i	0.399290	+	0.165391i
$244$	−0.189941	+	0.784932i	−0.0121597	+	0.0502501i
$245$	−14.4291	+	17.1071i	−0.921841	+	1.09294i
$246$	2.18724	−	2.55626i	0.139453	−	0.162981i
$247$	−1.81205			−0.115298
$248$	−0.552093	+	3.42586i	−0.0350580	+	0.217542i
$249$	3.07607	−	3.07607i	0.194938	−	0.194938i
$250$	0.962479	−	15.7821i	0.0608725	−	0.998146i
$251$	−2.97957	−	1.23418i	−0.188069	−	0.0779007i	0.286662	−	0.958032i	$-0.407454\pi$
$251$	−2.97957	−	1.23418i	−0.188069	−	0.0779007i	−0.474731	+	0.880131i	$0.657454\pi$
$252$	−3.74265	−	23.9088i	−0.235765	−	1.50611i
$253$	1.01765	+	0.421526i	0.0639794	+	0.0265011i
$254$	4.80430	−	14.7409i	0.301448	−	0.924928i
$255$	−1.16440	+	3.66043i	−0.0729176	+	0.229225i
$256$	−13.0117	+	9.31108i	−0.813230	+	0.581942i
$257$	2.61533	−	2.61533i	0.163140	−	0.163140i	−0.620816	−	0.783956i	$-0.713199\pi$
$257$	2.61533	−	2.61533i	0.163140	−	0.163140i	0.783956	+	0.620816i	$0.213199\pi$
$258$	−2.41812	+	1.22935i	−0.150546	+	0.0765362i
$259$	−21.3855	+	8.85818i	−1.32883	+	0.550420i
$260$	7.41168	+	1.14067i	0.459653	+	0.0707414i
$261$	4.12329	−	9.95450i	0.255225	−	0.616168i
$262$	1.89153	−	2.21067i	0.116859	−	0.136576i
$263$	−14.1955			−0.875334			−0.437667	−	0.899137i	$-0.644195\pi$
$263$	−14.1955			−0.875334			−0.437667	+	0.899137i	$0.644195\pi$
$264$	0.721386	+	0.998564i	0.0443983	+	0.0614574i
$265$	20.7336	+	6.59544i	1.27365	+	0.405155i
$266$	4.78901	+	4.09767i	0.293633	+	0.251244i
$267$	0.859667	+	2.07542i	0.0526108	+	0.127014i
$268$	18.9638	−	11.5741i	1.15840	−	0.707002i
$269$	−17.1884	+	7.11965i	−1.04799	+	0.434093i	−0.839175	−	0.543862i	$-0.816962\pi$
$269$	−17.1884	+	7.11965i	−1.04799	+	0.434093i	−0.208818	+	0.977955i	$0.566962\pi$
$270$	4.75967	−	0.779623i	0.289664	−	0.0474463i
$271$	−8.34343			−0.506827			−0.253414	−	0.967358i	$-0.581553\pi$
$271$	−8.34343			−0.506827			−0.253414	+	0.967358i	$0.581553\pi$
$272$	−12.2225	+	23.7758i	−0.741096	+	1.44162i
$273$	1.25686	−	1.25686i	0.0760685	−	0.0760685i
$274$	−24.4955	+	12.4533i	−1.47983	+	0.752333i
$275$	−8.26218	−	1.87594i	−0.498228	−	0.113123i
$276$	−0.285234	+	0.174086i	−0.0171691	+	0.0104787i
$277$	−2.98963	+	1.23834i	−0.179629	+	0.0744049i	−0.470685	−	0.882301i	$-0.655993\pi$
$277$	−2.98963	+	1.23834i	−0.179629	+	0.0744049i	0.291056	+	0.956706i	$0.405993\pi$
$278$	−1.62904	−	20.9399i	−0.0977031	−	1.25589i
$279$	2.54523	−	2.54523i	0.152379	−	0.152379i
$280$	−17.0086	−	19.7749i	−1.01646	−	1.18178i
$281$	4.07936	+	4.07936i	0.243354	+	0.243354i	0.818236	−	0.574882i	$-0.194952\pi$
$281$	4.07936	+	4.07936i	0.243354	+	0.243354i	−0.574882	+	0.818236i	$0.694952\pi$
$282$	−2.04573	+	2.39088i	−0.121822	+	0.142375i
$283$	−4.26219	−	10.2898i	−0.253361	−	0.611668i	0.745110	−	0.666941i	$-0.232397\pi$
$283$	−4.26219	−	10.2898i	−0.253361	−	0.611668i	−0.998471	+	0.0552736i	$0.982397\pi$
$284$	−1.10853	−	7.08151i	−0.0657792	−	0.420210i
$285$	−0.400441	+	0.474763i	−0.0237201	+	0.0281225i
$286$	1.24516	−	3.82049i	0.0736277	−	0.225910i
$287$	26.9907	+	26.9907i	1.59321	+	1.59321i
$288$	16.5967	+	0.0747201i	0.977969	+	0.00440292i
$289$			27.6675i			1.62750i
$290$	−1.87721	−	11.4605i	−0.110233	−	0.672985i
$291$	−0.0192688	−	0.0465191i	−0.00112956	−	0.00272700i
$292$	6.67452	−	9.15199i	0.390597	−	0.535580i
$293$	−0.725570	+	0.300541i	−0.0423883	+	0.0175578i	−0.403777	−	0.914858i	$-0.632303\pi$
$293$	−0.725570	+	0.300541i	−0.0423883	+	0.0175578i	0.361389	+	0.932415i	$0.382303\pi$
$294$	−3.62709	+	0.282172i	−0.211536	+	0.0164566i
$295$	−13.8454	−	26.7632i	−0.806112	−	1.55822i
$296$	−3.66426	−	15.4464i	−0.212981	−	0.897805i
$297$		−	2.58444i		−	0.149964i
$298$	−2.76529	+	0.215128i	−0.160189	+	0.0124620i
$299$	1.00704	+	0.417128i	0.0582383	+	0.0241231i
$300$	1.93674	−	1.68980i	0.111818	−	0.0975609i
$301$	−11.7781	−	28.4347i	−0.678876	−	1.63895i
$302$	2.32734	−	7.14093i	0.133923	−	0.410915i
$303$	1.62665	+	1.62665i	0.0934487	+	0.0934487i
$304$	−3.29703	+	2.79546i	−0.189098	+	0.160330i
$305$	0.273705	−	0.860425i	0.0156723	−	0.0492678i
$306$	24.7196	−	12.5672i	1.41312	−	0.718421i
$307$	4.10155	−	9.90202i	0.234088	−	0.565138i	−0.762563	−	0.646914i	$-0.776059\pi$
$307$	4.10155	−	9.90202i	0.234088	−	0.565138i	0.996651	+	0.0817758i	$0.0260592\pi$
$308$	−11.9302	+	7.28132i	−0.679786	+	0.414892i
$309$	0.728331	−	1.75835i	0.0414333	−	0.100029i
$310$	0.885769	−	3.77718i	0.0503083	−	0.214529i
$311$	18.0584	+	18.0584i	1.02400	+	1.02400i	0.999705	+	0.0242933i	$0.00773356\pi$
$311$	18.0584	+	18.0584i	1.02400	+	1.02400i	0.0242933	+	0.999705i	$0.492266\pi$
$312$	0.713859	+	0.988145i	0.0404143	+	0.0559427i
$313$		−	1.18689i		−	0.0670870i	−0.999437	−	0.0335435i	$-0.989321\pi$
$313$		−	1.18689i		−	0.0670870i	0.999437	−	0.0335435i	$-0.0106792\pi$
$314$	10.7579	−	0.836917i	0.607102	−	0.0472300i
$315$	2.28938	+	26.9593i	0.128992	+	1.51898i
$316$	−19.2191	−	14.0164i	−1.08116	−	0.788486i
$317$	10.5230	−	25.4048i	0.591031	−	1.42688i	−0.291476	−	0.956578i	$-0.594146\pi$
$317$	10.5230	−	25.4048i	0.591031	−	1.42688i	0.882508	−	0.470298i	$-0.155854\pi$
$318$	1.60286	+	3.15281i	0.0898841	+	0.176801i
$319$	−6.22292			−0.348416
$320$	15.2453	−	9.35854i	0.852235	−	0.523159i
$321$	−2.50787			−0.139976
$322$	−1.71819	−	3.37966i	−0.0957510	−	0.188341i
$323$	−2.76390	+	6.67264i	−0.153787	+	0.371275i
$324$	−13.5895	−	9.91079i	−0.754972	−	0.550599i
$325$	−8.17597	−	1.85637i	−0.453521	−	0.102973i
$326$	15.6015	−	1.21373i	0.864085	−	0.0672222i
$327$		−	0.920997i		−	0.0509313i
$328$	−21.2202	+	15.3299i	−1.17169	+	0.846455i
$329$	−25.2445	−	25.2445i	−1.39177	−	1.39177i
$330$	−0.725815	−	1.17051i	−0.0399548	−	0.0644347i
$331$	−7.31472	+	17.6593i	−0.402053	+	0.970643i	0.585114	+	0.810951i	$0.301050\pi$
$331$	−7.31472	+	17.6593i	−0.402053	+	0.970643i	−0.987167	+	0.159691i	$0.948950\pi$
$332$	−28.8937	+	17.6346i	−1.58575	+	0.967822i
$333$	−6.30176	+	15.2138i	−0.345334	+	0.833710i
$334$	7.16268	−	3.64145i	0.391925	−	0.199251i
$335$	−22.0618	+	11.4132i	−1.20536	+	0.623571i
$336$	0.347897	−	4.22581i	0.0189793	−	0.230537i
$337$	11.9699	+	11.9699i	0.652040	+	0.652040i	0.953484	−	0.301444i	$-0.0974686\pi$
$337$	11.9699	+	11.9699i	0.652040	+	0.652040i	−0.301444	+	0.953484i	$0.597469\pi$
$338$	−4.46479	+	13.6992i	−0.242852	+	0.745139i
$339$	−0.566350	−	1.36729i	−0.0307599	−	0.0742610i
$340$	15.5053	−	25.5526i	0.840891	−	1.38578i
$341$	−1.92065	−	0.795559i	−0.104009	−	0.0430819i
$342$	4.47035	−	0.347775i	0.241729	−	0.0188055i
$343$		−	12.4076i		−	0.669946i
$344$	20.5379	−	4.87209i	1.10733	−	0.262685i
$345$	0.331830	−	0.171666i	0.0178651	−	0.00924218i
$346$	−10.6300	+	0.826966i	−0.571470	+	0.0444580i
$347$	−9.88739	+	4.09549i	−0.530783	+	0.219858i	−0.631946	−	0.775012i	$-0.717744\pi$
$347$	−9.88739	+	4.09549i	−0.530783	+	0.219858i	0.101163	+	0.994870i	$0.467744\pi$
$348$	1.11240	−	1.52530i	0.0596307	−	0.0817646i
$349$	−8.27757	−	19.9838i	−0.443088	−	1.06971i	−0.974859	−	0.222821i	$-0.928473\pi$
$349$	−8.27757	−	19.9838i	−0.443088	−	1.06971i	0.531771	−	0.846888i	$-0.321527\pi$
$350$	17.4101	+	23.3948i	0.930610	+	1.25050i
$351$		−	2.55747i		−	0.136508i
$352$	−3.62831	−	8.87228i	−0.193390	−	0.472894i
$353$	−11.7641	−	11.7641i	−0.626138	−	0.626138i	0.320956	−	0.947094i	$-0.395996\pi$
$353$	−11.7641	−	11.7641i	−0.626138	−	0.626138i	−0.947094	+	0.320956i	$0.895996\pi$
$354$	1.51786	−	4.65722i	0.0806734	−	0.247529i
$355$	0.678088	+	7.98504i	0.0359892	+	0.423802i
$356$	−2.70336	−	17.2695i	−0.143278	−	0.915284i
$357$	−2.71114	−	6.54527i	−0.143489	−	0.346412i
$358$	−10.2877	+	12.0234i	−0.543722	+	0.635458i
$359$	6.92403	+	6.92403i	0.365436	+	0.365436i	0.865810	−	0.500373i	$-0.166804\pi$
$359$	6.92403	+	6.92403i	0.365436	+	0.365436i	−0.500373	+	0.865810i	$0.666804\pi$
$360$	−18.5036	−	1.39157i	−0.975225	−	0.0733424i
$361$	12.6093	−	12.6093i	0.663645	−	0.663645i
$362$	1.26247	+	16.2280i	0.0663541	+	0.852927i
$363$	1.93027	−	0.799545i	0.101313	−	0.0419652i
$364$	−11.8057	+	7.20534i	−0.618788	+	0.377662i
$365$	−8.16518	+	9.68065i	−0.427385	+	0.506708i
$366$	0.130839	−	0.0665175i	0.00683906	−	0.00347692i
$367$	21.8025	−	21.8025i	1.13808	−	1.13808i	0.149285	−	0.988794i	$-0.452303\pi$
$367$	21.8025	−	21.8025i	1.13808	−	1.13808i	0.988794	−	0.149285i	$-0.0476971\pi$
$368$	2.47580	−	0.794590i	0.129060	−	0.0414209i
$369$	27.1548			1.41362
$370$	2.86899	+	17.5155i	0.149152	+	0.910587i
$371$	−37.0739	+	15.3565i	−1.92478	+	0.797271i
$372$	0.538331	−	0.328558i	0.0279112	−	0.0170349i
$373$	−11.6761	−	28.1887i	−0.604568	−	1.45956i	−0.868833	−	0.495106i	$-0.835129\pi$
$373$	−11.6761	−	28.1887i	−0.604568	−	1.45956i	0.264265	−	0.964450i	$-0.414871\pi$
$374$	−12.1692	−	10.4124i	−0.629255	−	0.538415i
$375$	−2.29316	+	1.73189i	−0.118418	+	0.0894346i
$376$	19.8473	−	14.3381i	1.02355	−	0.739433i
$377$	−6.15798			−0.317152
$378$	−5.78331	+	6.75905i	−0.297461	+	0.347648i
$379$	2.73483	−	6.60247i	0.140479	−	0.339146i	−0.837945	−	0.545755i	$-0.816243\pi$
$379$	2.73483	−	6.60247i	0.140479	−	0.339146i	0.978424	+	0.206609i	$0.0662428\pi$
$380$	3.89737	−	2.85775i	0.199931	−	0.146599i
$381$	−2.60333	+	1.07833i	−0.133373	+	0.0552447i
$382$	29.7218	−	15.1103i	1.52070	−	0.773110i
$383$	−1.73926	+	1.73926i	−0.0888718	+	0.0888718i	−0.750145	−	0.661273i	$-0.770016\pi$
$383$	−1.73926	+	1.73926i	−0.0888718	+	0.0888718i	0.661273	+	0.750145i	$0.270016\pi$
$384$	2.82328	+	0.696658i	0.144075	+	0.0355512i
$385$	13.8791	−	7.18010i	0.707346	−	0.365932i
$386$	2.05228	−	6.29698i	0.104458	−	0.320508i
$387$	−20.2286	−	8.37897i	−1.02828	−	0.425927i
$388$	0.0605938	+	0.387084i	0.00307618	+	0.0196512i
$389$	−1.99934	−	0.828156i	−0.101371	−	0.0419892i	0.331422	−	0.943483i	$-0.392472\pi$
$389$	−1.99934	−	0.828156i	−0.101371	−	0.0419892i	−0.432793	+	0.901494i	$0.642472\pi$
$390$	−0.718241	−	1.15830i	−0.0363696	−	0.0586528i
$391$	3.07203	−	3.07203i	0.155359	−	0.155359i
$392$	27.9478	+	4.50392i	1.41158	+	0.227482i
$393$	−0.528787			−0.0266738
$394$	10.0803	−	11.7810i	0.507837	−	0.593517i
$395$	20.3293	+	17.1468i	1.02288	+	0.862750i
$396$	−2.33857	+	9.66416i	−0.117518	+	0.485642i
$397$	26.8492	+	11.1213i	1.34752	+	0.558163i	0.935602	−	0.353056i	$-0.114858\pi$
$397$	26.8492	+	11.1213i	1.34752	+	0.558163i	0.411922	+	0.911219i	$0.364858\pi$
$398$	−7.91882	+	24.2972i	−0.396935	+	1.21791i
$399$		−	1.14552i		−	0.0573478i
$400$	−17.7400	+	9.23542i	−0.886999	+	0.461771i
$401$		−	10.9234i		−	0.545488i	−0.962087	−	0.272744i	$-0.912069\pi$
$401$		−	10.9234i		−	0.545488i	0.962087	−	0.272744i	$-0.0879312\pi$
$402$	−3.83909	−	1.25122i	−0.191477	−	0.0624052i
$403$	−1.90061	−	0.787257i	−0.0946760	−	0.0392161i
$404$	−9.32530	−	15.2792i	−0.463951	−	0.760168i
$405$	14.3745	+	12.1242i	0.714274	+	0.602457i
$406$	16.2747	+	13.9253i	0.807700	+	0.691100i
$407$	9.51068			0.471427
$408$	4.72754	−	1.12148i	0.234048	−	0.0555217i
$409$	−14.0669	+	14.0669i	−0.695565	+	0.695565i	−0.963451	−	0.267886i	$-0.913675\pi$
$409$	−14.0669	+	14.0669i	−0.695565	+	0.695565i	0.267886	+	0.963451i	$0.413675\pi$
$410$	24.8742	−	15.4241i	1.22845	−	0.761740i
$411$	4.61414	+	1.91124i	0.227599	+	0.0942744i
$412$	−8.72628	+	11.9653i	−0.429913	+	0.589489i
$413$	51.3450	+	21.2678i	2.52652	+	1.04652i
$414$	−2.56442	−	0.835784i	−0.126034	−	0.0410765i
$415$	33.6138	−	17.3894i	1.65003	−	0.853613i
$416$	−3.59045	−	8.77971i	−0.176036	−	0.430460i
$417$	−2.69922	+	2.69922i	−0.132181	+	0.132181i
$418$	−1.17360	−	2.30846i	−0.0574027	−	0.112910i
$419$	8.44915	−	3.49975i	0.412768	−	0.170974i	−0.166629	−	0.986020i	$-0.553288\pi$
$419$	8.44915	−	3.49975i	0.412768	−	0.170974i	0.579397	+	0.815046i	$0.303288\pi$
$420$	−0.721094	+	4.68542i	−0.0351858	+	0.228625i
$421$	7.01800	−	16.9430i	0.342036	−	0.825749i	−0.655473	−	0.755218i	$-0.727531\pi$
$421$	7.01800	−	16.9430i	0.342036	−	0.825749i	0.997510	−	0.0705306i	$-0.0224692\pi$
$422$	−14.6271	−	12.5156i	−0.712038	−	0.609248i
$423$	−25.3980			−1.23489
$424$	−6.35235	−	26.7779i	−0.308497	−	1.30045i
$425$	−19.3065	+	27.2754i	−0.936502	+	1.32305i
$426$	−0.846940	+	0.989833i	−0.0410344	+	0.0479576i
$427$	0.637283	+	1.53854i	0.0308403	+	0.0744550i
$428$	18.9668	+	4.58967i	0.916796	+	0.221850i
$429$	−0.674720	+	0.279478i	−0.0325758	+	0.0134933i
$430$	−23.2890	+	3.81469i	−1.12310	+	0.183961i
$431$	−0.0903042			−0.00434980			−0.00217490	−	0.999998i	$-0.500692\pi$
$431$	−0.0903042			−0.00434980			−0.00217490	+	0.999998i	$0.500692\pi$
$432$	−3.94541	−	4.65332i	−0.189824	−	0.223883i
$433$	13.5561	−	13.5561i	0.651466	−	0.651466i	−0.301880	−	0.953346i	$-0.597614\pi$
$433$	13.5561	−	13.5561i	0.651466	−	0.651466i	0.953346	+	0.301880i	$0.0976141\pi$
$434$	3.24279	+	6.37853i	0.155659	+	0.306179i
$435$	−1.36084	+	1.61341i	−0.0652471	+	0.0773570i
$436$	−1.68553	+	6.96544i	−0.0807220	+	0.333584i
$437$	0.649002	−	0.268826i	0.0310460	−	0.0128597i
$438$	−2.05251	+	0.159676i	−0.0980726	+	0.00762964i
$439$	−20.8236	+	20.8236i	−0.993856	+	0.993856i	−0.999981	−	0.00612500i	$-0.998050\pi$
$439$	−20.8236	+	20.8236i	−0.993856	+	0.993856i	0.00612500	+	0.999981i	$0.498050\pi$
$440$	3.34712	+	10.1808i	0.159567	+	0.485352i
$441$	−20.7637	−	20.7637i	−0.988750	−	0.988750i
$442$	−12.0422	−	10.3038i	−0.572790	−	0.490102i
$443$	0.213272	+	0.514885i	0.0101329	+	0.0244629i	0.928865	−	0.370418i	$-0.120786\pi$
$443$	0.213272	+	0.514885i	0.0101329	+	0.0244629i	−0.918732	+	0.394881i	$0.870786\pi$
$444$	−1.70011	+	2.33116i	−0.0806837	+	0.110632i
$445$	1.65364	+	19.4730i	0.0783901	+	0.923108i
$446$	−28.1079	−	9.16080i	−1.33095	−	0.433776i
$447$	0.356454	+	0.356454i	0.0168597	+	0.0168597i
$448$	−10.3648	+	31.3228i	−0.489691	+	1.47986i
$449$			20.4638i			0.965746i	0.875690	+	0.482873i	$0.160407\pi$
$449$			20.4638i			0.965746i	−0.875690	+	0.482873i	$0.839593\pi$
$450$	20.5265	+	3.01051i	0.967627	+	0.141917i
$451$	−6.00173	−	14.4895i	−0.282610	−	0.682282i
$452$	1.78097	+	11.3772i	0.0837700	+	0.535138i
$453$	−1.26113	+	0.522377i	−0.0592530	+	0.0245434i
$454$	1.79685	+	23.0970i	0.0843302	+	1.08399i
$455$	13.7343	−	7.10518i	0.643874	−	0.333096i
$456$	0.775617	+	0.124994i	0.0363216	+	0.00585339i
$457$		−	9.46550i		−	0.442777i	−0.975186	−	0.221389i	$-0.928941\pi$
$457$		−	9.46550i		−	0.442777i	0.975186	−	0.221389i	$-0.0710589\pi$
$458$	0.0649569	+	0.834966i	0.00303523	+	0.0390154i
$459$	−9.41753	−	3.90087i	−0.439573	−	0.182077i
$460$	−2.82378	+	0.691011i	−0.131659	+	0.0322186i
$461$	−7.36381	−	17.7778i	−0.342967	−	0.827995i	−0.997413	−	0.0718864i	$-0.977098\pi$
$461$	−7.36381	−	17.7778i	−0.342967	−	0.827995i	0.654446	−	0.756109i	$-0.272902\pi$
$462$	2.41519	+	0.787147i	0.112365	+	0.0366214i
$463$	11.6637	+	11.6637i	0.542059	+	0.542059i	0.924132	−	0.382073i	$-0.124790\pi$
$463$	11.6637	+	11.6637i	0.542059	+	0.542059i	−0.382073	+	0.924132i	$0.624790\pi$
$464$	−11.2044	+	9.49992i	−0.520153	+	0.441023i
$465$	−0.626273	+	0.323990i	−0.0290427	+	0.0150247i
$466$	−1.58241	−	3.11258i	−0.0733037	−	0.144187i
$467$	11.7011	−	28.2491i	0.541464	−	1.30721i	−0.382225	−	0.924069i	$-0.624842\pi$
$467$	11.7011	−	28.2491i	0.541464	−	1.30721i	0.923690	−	0.383142i	$-0.125158\pi$
$468$	−2.31417	+	9.56332i	−0.106973	+	0.442064i
$469$	17.5317	−	42.3253i	0.809540	−	1.95440i
$470$	−23.2649	+	14.4262i	−1.07313	+	0.665430i
$471$	−1.38672	−	1.38672i	−0.0638968	−	0.0638968i
$472$	−20.0027	+	32.4444i	−0.920699	+	1.49337i
$473$			12.6456i			0.581447i
$474$	0.335319	+	4.31025i	0.0154017	+	0.197976i
$475$	−4.57182	+	2.87990i	−0.209769	+	0.132139i
$476$	8.52559	+	54.4631i	0.390770	+	2.49631i
$477$	−10.9247	+	26.3746i	−0.500209	+	1.20761i
$478$	26.4108	−	13.4270i	1.20800	−	0.614139i
$479$	−5.95562			−0.272119			−0.136060	−	0.990701i	$-0.543444\pi$
$479$	−5.95562			−0.272119			−0.136060	+	0.990701i	$0.543444\pi$
$480$	−3.09375	−	0.999495i	−0.141210	−	0.0456205i
$481$	9.41144			0.429125
$482$	−22.8292	+	11.6062i	−1.03984	+	0.528646i
$483$	−0.263694	+	0.636614i	−0.0119985	+	0.0289669i
$484$	−16.0618	+	2.51429i	−0.730080	+	0.114286i
$485$	−0.0370652	−	0.436473i	−0.00168304	−	0.0198192i
$486$	0.738988	+	9.49907i	0.0335212	+	0.430887i
$487$			27.0205i			1.22441i	0.790697	+	0.612207i	$0.209718\pi$
$487$			27.0205i			1.22441i	−0.790697	+	0.612207i	$0.790282\pi$
$488$	−1.11126	+	0.263617i	−0.0503044	+	0.0119334i
$489$	−2.01108	−	2.01108i	−0.0909440	−	0.0909440i
$490$	−30.8138	−	7.22600i	−1.39203	−	0.326438i
$491$	12.6646	−	30.5751i	0.571547	−	1.37984i	−0.328692	−	0.944437i	$-0.606608\pi$
$491$	12.6646	−	30.5751i	0.571547	−	1.37984i	0.900238	−	0.435398i	$-0.143392\pi$
$492$	4.62437	+	1.11902i	0.208483	+	0.0504495i
$493$	−9.39267	+	22.6759i	−0.423024	+	1.02127i
$494$	−1.16135	−	2.28437i	−0.0522518	−	0.102779i
$495$	3.36988	−	10.5936i	0.151465	−	0.476148i
$496$	−4.67265	+	1.49965i	−0.209808	+	0.0673364i
$497$	−10.4513	−	10.4513i	−0.468805	−	0.468805i
$498$	5.84932	+	1.90638i	0.262114	+	0.0854271i
$499$	4.17405	+	10.0771i	0.186856	+	0.451111i	0.989351	−	0.145548i	$-0.0464946\pi$
$499$	4.17405	+	10.0771i	0.186856	+	0.451111i	−0.802495	+	0.596659i	$0.796495\pi$
$500$	20.5125	−	8.90145i	0.917349	−	0.398085i
$501$	−1.34921	−	0.558861i	−0.0602782	−	0.0249681i
$502$	−0.353752	−	4.54719i	−0.0157887	−	0.202951i
$503$		−	6.86620i		−	0.306149i	−0.988215	−	0.153074i	$-0.951083\pi$
$503$		−	6.86620i		−	0.306149i	0.988215	−	0.153074i	$-0.0489174\pi$
$504$	27.7419	−	20.0414i	1.23572	−	0.892715i
$505$	9.19566	+	17.7752i	0.409202	+	0.790987i
$506$	0.120822	+	1.55306i	0.00537119	+	0.0690421i
$507$	2.41936	−	1.00213i	0.107447	−	0.0445062i
$508$	21.6623	−	3.39099i	0.961107	−	0.150451i
$509$	9.56661	+	23.0958i	0.424033	+	1.02371i	0.981146	+	0.193269i	$0.0619089\pi$
$509$	9.56661	+	23.0958i	0.424033	+	1.02371i	−0.557113	+	0.830436i	$0.688091\pi$
$510$	−5.36080	+	0.878086i	−0.237380	+	0.0388823i
$511$		−	23.3577i		−	1.03328i
$512$	−20.0773	−	10.4357i	−0.887298	−	0.461196i
$513$	−1.16546	−	1.16546i	−0.0514563	−	0.0514563i
$514$	4.97320	+	1.62084i	0.219359	+	0.0714924i
$515$	10.6752	−	12.6565i	0.470405	−	0.557712i
$516$	−3.09957	−	2.26051i	−0.136451	−	0.0995134i
$517$	5.61343	+	13.5520i	0.246879	+	0.596018i
$518$	−24.8732	−	21.2824i	−1.09286	−	0.935097i
$519$	1.37023	+	1.37023i	0.0601466	+	0.0601466i
$520$	3.31219	+	10.0746i	0.145249	+	0.441800i
$521$	14.7050	−	14.7050i	0.644238	−	0.644238i	−0.307357	−	0.951594i	$-0.599444\pi$
$521$	14.7050	−	14.7050i	0.644238	−	0.644238i	0.951594	+	0.307357i	$0.0994445\pi$
$522$	15.1918	−	1.18186i	0.664927	−	0.0517285i
$523$	7.71979	−	3.19764i	0.337563	−	0.139823i	−0.207462	−	0.978243i	$-0.566520\pi$
$523$	7.71979	−	3.19764i	0.337563	−	0.139823i	0.545025	+	0.838420i	$0.316520\pi$
$524$	3.99917	+	0.967737i	0.174705	+	0.0422758i
$525$	1.17353	−	5.16858i	0.0512171	−	0.225575i
$526$	−9.09799	−	17.8956i	−0.396691	−	0.780286i
$527$	−5.79793	+	5.79793i	−0.252562	+	0.252562i
$528$	−0.796501	+	1.54940i	−0.0346633	+	0.0674290i
$529$	22.5774			0.981628
$530$	4.97369	+	30.3648i	0.216043	+	1.31896i
$531$	36.5272	−	15.1300i	1.58514	−	0.656588i
$532$	−2.09643	+	8.66349i	−0.0908917	+	0.375610i
$533$	−5.93910	−	14.3383i	−0.257251	−	0.621059i
$534$	−2.06542	+	2.41389i	−0.0893793	+	0.104459i
$535$	−20.7910	−	6.61371i	−0.898874	−	0.285936i
$536$	26.7449	+	16.4888i	1.15520	+	0.712210i
$537$	2.87597			0.124107
$538$	−19.9915	−	17.1055i	−0.861895	−	0.737471i
$539$	−6.49008	+	15.6684i	−0.279548	+	0.674888i
$540$	4.03333	+	5.50062i	0.173567	+	0.236709i
$541$	−33.9033	+	14.0432i	−1.45762	+	0.603765i	−0.963997	−	0.265911i	$-0.914327\pi$
$541$	−33.9033	+	14.0432i	−1.45762	+	0.603765i	−0.493621	+	0.869677i	$0.664327\pi$
$542$	−5.34734	−	10.5182i	−0.229688	−	0.451793i
$543$	2.09185	−	2.09185i	0.0897697	−	0.0897697i
$544$	−37.8065	−	0.170209i	−1.62094	−	0.00729765i
$545$	2.42884	−	7.63535i	0.104040	−	0.327063i
$546$	2.38999	+	0.778933i	0.102282	+	0.0333353i
$547$	41.0857	+	17.0182i	1.75670	+	0.727647i	0.997003	+	0.0773651i	$0.0246507\pi$
$547$	41.0857	+	17.0182i	1.75670	+	0.727647i	0.759693	+	0.650282i	$0.225349\pi$
$548$	−31.3986	−	22.8989i	−1.34128	−	0.978193i
$549$	1.09452	+	0.453366i	0.0467131	+	0.0193492i
$550$	−2.93037	−	11.6180i	−0.124951	−	0.495395i
$551$	−2.80624	+	2.80624i	−0.119550	+	0.119550i
$552$	−0.402270	−	0.248008i	−0.0171217	−	0.0105559i
$553$	−49.0510			−2.08586
$554$	−3.47718	−	2.97522i	−0.147731	−	0.126405i
$555$	2.07981	−	2.46582i	0.0882829	−	0.104668i
$556$	25.3539	−	15.4741i	1.07524	−	0.656250i
$557$	−14.2378	−	5.89750i	−0.603276	−	0.249885i	0.0600745	−	0.998194i	$-0.480866\pi$
$557$	−14.2378	−	5.89750i	−0.603276	−	0.249885i	−0.663351	+	0.748309i	$0.730866\pi$
$558$	4.83991	+	1.57740i	0.204890	+	0.0667767i
$559$			12.5137i			0.529273i
$560$	14.0284	−	34.1158i	0.592808	−	1.44165i
$561$			2.91084i			0.122896i
$562$	−2.52817	+	7.75714i	−0.106644	+	0.327215i
$563$	7.26747	+	3.01028i	0.306287	+	0.126868i	0.530533	−	0.847664i	$-0.321992\pi$
$563$	7.26747	+	3.01028i	0.306287	+	0.126868i	−0.224246	+	0.974533i	$0.571992\pi$
$564$	−4.32519	−	1.04663i	−0.182123	−	0.0440709i
$565$	−1.08942	−	12.8288i	−0.0458323	−	0.539713i
$566$	10.2402	−	11.9680i	0.430430	−	0.503050i
$567$	−34.6831			−1.45655
$568$	8.21685	−	5.93604i	0.344771	−	0.249071i
$569$	2.91139	−	2.91139i	0.122052	−	0.122052i	−0.643443	−	0.765494i	$-0.722494\pi$
$569$	2.91139	−	2.91139i	0.122052	−	0.122052i	0.765494	+	0.643443i	$0.222494\pi$
$570$	−0.855155	−	0.200538i	−0.0358185	−	0.00839963i
$571$	27.0095	+	11.1877i	1.13031	+	0.468191i	0.867887	−	0.496762i	$-0.165478\pi$
$571$	27.0095	+	11.1877i	1.13031	+	0.468191i	0.262425	+	0.964952i	$0.415478\pi$
$572$	5.61433	−	0.878862i	0.234747	−	0.0367471i
$573$	−5.59858	−	2.31901i	−0.233884	−	0.0968780i
$574$	−16.7274	+	51.3244i	−0.698189	+	2.14224i
$575$	3.20369	−	0.548066i	0.133603	−	0.0228559i
$576$	10.5427	+	20.9705i	0.439279	+	0.873771i
$577$	−0.327991	+	0.327991i	−0.0136545	+	0.0136545i	−0.713901	−	0.700247i	$-0.753073\pi$
$577$	−0.327991	+	0.327991i	−0.0136545	+	0.0136545i	0.700247	+	0.713901i	$0.253073\pi$
$578$	−34.8790	+	17.7322i	−1.45078	+	0.737562i
$579$	−1.11208	+	0.460639i	−0.0462165	+	0.0191435i
$580$	13.2446	−	9.71160i	0.549952	−	0.403252i
$581$	−26.7117	+	64.4877i	−1.10819	+	2.67540i
$582$	0.0462948	−	0.0541055i	0.00191898	−	0.00224275i
$583$	16.4877			0.682851
$584$	15.8152	+	2.54869i	0.654437	+	0.105466i
$585$	3.33472	−	10.4831i	0.137874	−	0.433422i
$586$	−0.843899	−	0.722073i	−0.0348611	−	0.0298286i
$587$	−6.23054	−	15.0418i	−0.257162	−	0.620843i	0.741587	−	0.670857i	$-0.234074\pi$
$587$	−6.23054	−	15.0418i	−0.257162	−	0.620843i	−0.998749	+	0.0500135i	$0.984074\pi$
$588$	−2.68034	−	4.39165i	−0.110535	−	0.181108i
$589$	−1.22488	+	0.507362i	−0.0504704	+	0.0209055i
$590$	24.8655	−	34.6069i	1.02370	−	1.42474i
$591$	−2.81798			−0.115916
$592$	17.1241	−	14.5190i	0.703796	−	0.596728i
$593$	4.64086	−	4.64086i	0.190577	−	0.190577i	−0.605368	−	0.795945i	$-0.706974\pi$
$593$	4.64086	−	4.64086i	0.190577	−	0.190577i	0.795945	+	0.605368i	$0.206974\pi$
$594$	3.25808	−	1.65638i	0.133680	−	0.0679621i
$595$	−5.21510	−	61.4121i	−0.213798	−	2.51765i
$596$	−2.04349	−	3.34819i	−0.0837045	−	0.137147i
$597$	4.29102	−	1.77740i	0.175620	−	0.0727440i
$598$	0.119561	+	1.53686i	0.00488922	+	0.0628468i
$599$	−13.1614	+	13.1614i	−0.537762	+	0.537762i	−0.922871	−	0.385109i	$-0.874164\pi$
$599$	−13.1614	+	13.1614i	−0.537762	+	0.537762i	0.385109	+	0.922871i	$0.374164\pi$
$600$	3.37152	+	1.35856i	0.137642	+	0.0554628i
$601$	17.4634	+	17.4634i	0.712348	+	0.712348i	0.967026	−	0.254678i	$-0.0819696\pi$
$601$	17.4634	+	17.4634i	0.712348	+	0.712348i	−0.254678	+	0.967026i	$0.581970\pi$
$602$	28.2977	−	33.0720i	1.15333	−	1.34791i
$603$	−12.4722	−	30.1105i	−0.507906	−	1.22619i
$604$	10.4938	−	1.64269i	0.426988	−	0.0668402i
$605$	18.1111	−	1.53799i	0.736321	−	0.0625282i
$606$	−1.00811	+	3.09317i	−0.0409517	+	0.125651i
$607$	20.0063	+	20.0063i	0.812031	+	0.812031i	0.984938	−	0.172907i	$-0.0553162\pi$
$607$	20.0063	+	20.0063i	0.812031	+	0.812031i	−0.172907	+	0.984938i	$0.555316\pi$
$608$	−5.63718	−	2.36478i	−0.228618	−	0.0959047i
$609$		−	3.89287i		−	0.157747i
$610$	1.26011	−	0.206404i	0.0510205	−	0.00835704i
$611$	5.55486	+	13.4106i	0.224726	+	0.542536i
$612$	31.6858	+	23.1084i	1.28082	+	0.934101i
$613$	13.5417	−	5.60914i	0.546943	−	0.226551i	−0.0920629	−	0.995753i	$-0.529346\pi$
$613$	13.5417	−	5.60914i	0.546943	−	0.226551i	0.639006	+	0.769202i	$0.279346\pi$
$614$	15.1117	−	1.17563i	0.609859	−	0.0474444i
$615$	−5.06913	−	1.61251i	−0.204407	−	0.0650228i
$616$	−16.8253	−	10.3732i	−0.677912	−	0.417948i
$617$		−	3.56421i		−	0.143490i	−0.997423	−	0.0717449i	$-0.977143\pi$
$617$		−	3.56421i		−	0.143490i	0.997423	−	0.0717449i	$-0.0228568\pi$
$618$	2.68345	−	0.208761i	0.107944	−	0.00839761i
$619$	5.87879	+	2.43508i	0.236289	+	0.0978740i	0.497686	−	0.867357i	$-0.334183\pi$
$619$	5.87879	+	2.43508i	0.236289	+	0.0978740i	−0.261397	+	0.965231i	$0.584183\pi$
$620$	5.32940	−	1.30417i	0.214034	−	0.0523766i
$621$	0.379411	+	0.915979i	0.0152252	+	0.0367570i
$622$	−11.1916	+	34.3391i	−0.448744	+	1.37687i
$623$	−25.4874	−	25.4874i	−1.02113	−	1.02113i
$624$	−0.788190	+	1.53323i	−0.0315529	+	0.0613785i
$625$	−23.5783	+	8.31045i	−0.943132	+	0.332418i
$626$	1.49625	−	0.760683i	0.0598023	−	0.0304030i
$627$	−0.180115	+	0.434836i	−0.00719310	+	0.0173657i
$628$	7.94983	+	13.0255i	0.317233	+	0.519776i
$629$	14.3551	−	34.6563i	0.572376	−	1.38184i
$630$	−32.5190	+	20.1644i	−1.29559	+	0.803371i
$631$	12.3669	+	12.3669i	0.492319	+	0.492319i	0.909036	−	0.416717i	$-0.136819\pi$
$631$	12.3669	+	12.3669i	0.492319	+	0.492319i	−0.416717	+	0.909036i	$0.636819\pi$
$632$	5.35223	−	33.2118i	0.212900	−	1.32109i
$633$			3.49878i			0.139064i
$634$	38.7709	−	3.01621i	1.53979	−	0.119789i
$635$	−24.4262	+	2.07426i	−0.969323	+	0.0823147i
$636$	−2.94731	+	4.04130i	−0.116869	+	0.160248i
$637$	−6.42236	+	15.5049i	−0.254463	+	0.614328i
$638$	−3.98830	−	7.84493i	−0.157898	−	0.310584i
$639$	−10.5149			−0.415961
$640$	21.5686	+	13.2210i	0.852574	+	0.522606i
$641$	−40.2566			−1.59004			−0.795021	−	0.606582i	$-0.792540\pi$
$641$	−40.2566			−1.59004			−0.795021	+	0.606582i	$0.792540\pi$
$642$	−1.60731	−	3.16155i	−0.0634353	−	0.124776i
$643$	−2.36076	+	5.69937i	−0.0930992	+	0.224761i	−0.963569	−	0.267461i	$-0.913815\pi$
$643$	−2.36076	+	5.69937i	−0.0930992	+	0.224761i	0.870469	+	0.492222i	$0.163815\pi$
$644$	3.15937	−	4.33208i	0.124497	−	0.170708i
$645$	3.27862	+	2.76536i	0.129095	+	0.108886i
$646$	−10.1833	+	0.792215i	−0.400655	+	0.0311693i
$647$		−	29.9013i		−	1.17554i	−0.809028	−	0.587770i	$-0.800006\pi$
$647$		−	29.9013i		−	1.17554i	0.809028	−	0.587770i	$-0.199994\pi$
$648$	3.78447	−	23.4835i	0.148668	−	0.922518i
$649$	−16.1464	−	16.1464i	−0.633801	−	0.633801i
$650$	−2.89979	−	11.4968i	−0.113739	−	0.450942i
$651$	0.497678	−	1.20150i	0.0195055	−	0.0470905i
$652$	11.5291	+	18.8901i	0.451516	+	0.739794i
$653$	−11.4902	+	27.7399i	−0.449648	+	1.08555i	0.522806	+	0.852452i	$0.324885\pi$
$653$	−11.4902	+	27.7399i	−0.449648	+	1.08555i	−0.972454	+	0.233095i	$0.925115\pi$
$654$	1.16106	−	0.590272i	0.0454009	−	0.0230814i
$655$	−4.38380	−	1.39451i	−0.171289	−	0.0544879i
$656$	−32.9258	−	16.9262i	−1.28554	−	0.660857i
$657$	−11.7499	−	11.7499i	−0.458406	−	0.458406i
$658$	15.6452	−	48.0038i	0.609913	−	1.87138i
$659$	−16.1349	−	38.9531i	−0.628527	−	1.51740i	−0.841453	−	0.540330i	$-0.818299\pi$
$659$	−16.1349	−	38.9531i	−0.628527	−	1.51740i	0.212926	−	0.977068i	$-0.431701\pi$
$660$	1.01043	−	1.66519i	0.0393310	−	0.0648173i
$661$	47.2128	+	19.5562i	1.83637	+	0.760648i	0.960614	+	0.277888i	$0.0896343\pi$
$661$	47.2128	+	19.5562i	1.83637	+	0.760648i	0.875753	+	0.482760i	$0.160366\pi$
$662$	−26.9502	+	2.09662i	−1.04745	+	0.0814873i
$663$			2.88047i			0.111868i
$664$	−40.7491	−	25.1227i	−1.58137	−	0.974952i
$665$	3.02095	−	9.49672i	0.117147	−	0.368267i
$666$	−23.2181	+	1.80627i	−0.899683	+	0.0699915i
$667$	2.20553	−	0.913561i	0.0853985	−	0.0353732i
$668$	9.18119	+	6.69582i	0.355231	+	0.259069i
$669$	2.05616	+	4.96401i	0.0794957	+	0.191920i
$670$	−28.5276	−	20.4974i	−1.10212	−	0.791883i
$671$		−	0.684226i		−	0.0264142i
$672$	5.55024	−	2.26976i	0.214105	−	0.0875580i
$673$	18.0167	+	18.0167i	0.694492	+	0.694492i	0.963217	−	0.268725i	$-0.0866023\pi$
$673$	18.0167	+	18.0167i	0.694492	+	0.694492i	−0.268725	+	0.963217i	$0.586602\pi$
$674$	−7.41828	+	22.7614i	−0.285741	+	0.876735i
$675$	−4.06458	−	6.45250i	−0.156446	−	0.248357i
$676$	−20.1314	+	3.15135i	−0.774286	+	0.121206i
$677$	−3.44093	−	8.30714i	−0.132246	−	0.319269i	0.843861	−	0.536562i	$-0.180277\pi$
$677$	−3.44093	−	8.30714i	−0.132246	−	0.319269i	−0.976106	+	0.217293i	$0.930277\pi$
$678$	1.36070	−	1.59027i	0.0522574	−	0.0610741i
$679$	0.571282	+	0.571282i	0.0219238	+	0.0219238i
$680$	42.1503	+	3.16994i	1.61639	+	0.121562i
$681$	2.97727	−	2.97727i	0.114089	−	0.114089i
$682$	−0.228031	−	2.93114i	−0.00873175	−	0.112239i
$683$	17.5670	−	7.27650i	0.672184	−	0.278428i	−0.0203715	−	0.999792i	$-0.506485\pi$
$683$	17.5670	−	7.27650i	0.672184	−	0.278428i	0.692555	+	0.721365i	$0.256485\pi$
$684$	3.30349	+	5.41267i	0.126312	+	0.206958i
$685$	33.2123	+	28.0131i	1.26898	+	1.07032i
$686$	15.6416	−	7.95208i	0.597200	−	0.303612i
$687$	0.107630	−	0.107630i	0.00410633	−	0.00410633i
$688$	19.3049	+	22.7686i	0.735991	+	0.868046i
$689$	16.3157			0.621578
$690$	0.429083	+	0.308301i	0.0163349	+	0.0117368i
$691$	−38.2391	+	15.8391i	−1.45468	+	0.602550i	−0.963308	−	0.268398i	$-0.913506\pi$
$691$	−38.2391	+	15.8391i	−1.45468	+	0.602550i	−0.491375	+	0.870948i	$0.663506\pi$
$692$	−7.85531	−	12.8707i	−0.298614	−	0.489269i
$693$	7.84628	+	18.9426i	0.298056	+	0.719570i
$694$	−11.4999	−	9.83973i	−0.436529	−	0.373511i
$695$	−29.4957	+	15.2590i	−1.11884	+	0.578808i
$696$	2.63581	+	0.424773i	0.0999101	+	0.0161010i
$697$	−61.8574			−2.34302
$698$	19.8875	−	23.2429i	0.752753	−	0.879755i
$699$	−0.242856	+	0.586306i	−0.00918565	+	0.0221761i
$700$	−18.3344	+	36.9419i	−0.692975	+	1.39627i
$701$	22.9791	−	9.51825i	0.867908	−	0.359499i	0.0961128	−	0.995370i	$-0.469359\pi$
$701$	22.9791	−	9.51825i	0.867908	−	0.359499i	0.771795	+	0.635871i	$0.219359\pi$
$702$	3.22408	−	1.63910i	0.121685	−	0.0618637i
$703$	4.28887	−	4.28887i	0.161758	−	0.161758i
$704$	8.85945	−	10.2603i	0.333903	−	0.386700i
$705$	4.74117	+	1.50819i	0.178563	+	0.0568016i
$706$	7.29073	−	22.3700i	0.274390	−	0.841906i
$707$	−34.1016	−	14.1254i	−1.28252	−	0.531239i
$708$	6.84394	−	1.07134i	0.257211	−	0.0402635i
$709$	12.3065	+	5.09752i	0.462181	+	0.191441i	0.601609	−	0.798791i	$-0.294527\pi$
$709$	12.3065	+	5.09752i	0.462181	+	0.191441i	−0.139428	+	0.990232i	$0.544527\pi$
$710$	−9.63176	+	5.97248i	−0.361474	+	0.224143i
$711$	−24.6746	+	24.6746i	−0.925370	+	0.925370i
$712$	20.0383	−	14.4761i	0.750966	−	0.542515i
$713$	0.797511			0.0298670
$714$	6.51372	−	7.61269i	0.243770	−	0.284898i
$715$	−6.33067	+	0.537599i	−0.236754	+	0.0201051i
$716$	−21.7508	−	5.26335i	−0.812865	−	0.196700i
$717$	−4.97491	−	2.06068i	−0.185792	−	0.0769574i
$718$	−4.29114	+	13.1664i	−0.160144	+	0.491367i
$719$			26.2077i			0.977384i	0.872456	+	0.488692i	$0.162526\pi$
$719$			26.2077i			0.977384i	−0.872456	+	0.488692i	$0.837474\pi$
$720$	−10.1047	−	24.2184i	−0.376582	−	0.902568i
$721$			30.5379i			1.13729i
$722$	23.9772	+	7.81454i	0.892339	+	0.290827i
$723$	4.30025	+	1.78122i	0.159928	+	0.0662443i
$724$	−19.6488	+	11.9922i	−0.730241	+	0.445685i
$725$	−15.5366	+	9.78687i	−0.577015	+	0.363475i
$726$	2.24507	+	1.92097i	0.0833223	+	0.0712938i
$727$	5.88451			0.218244			0.109122	−	0.994028i	$-0.465196\pi$
$727$	5.88451			0.218244			0.109122	+	0.994028i	$0.465196\pi$
$728$	−16.6498	−	10.2650i	−0.617081	−	0.380444i
$729$	−16.6154	+	16.6154i	−0.615385	+	0.615385i
$730$	−17.4370	−	4.08908i	−0.645373	−	0.151343i
$731$	46.0799	+	19.0869i	1.70433	+	0.705955i
$732$	0.167711	+	0.122311i	0.00619876	+	0.00452074i
$733$	−29.5228	−	12.2288i	−1.09045	−	0.451680i	−0.236287	−	0.971683i	$-0.575931\pi$
$733$	−29.5228	−	12.2288i	−1.09045	−	0.451680i	−0.854164	+	0.520004i	$0.825931\pi$
$734$	41.4586	+	13.5120i	1.53026	+	0.498737i
$735$	2.64308	+	5.10907i	0.0974914	+	0.188451i
$736$	2.58845	+	2.61187i	0.0954117	+	0.0962747i
$737$	−13.3100	+	13.3100i	−0.490279	+	0.490279i
$738$	17.4036	+	34.2328i	0.640637	+	1.26012i
$739$	−15.9281	+	6.59764i	−0.585925	+	0.242698i	−0.655896	−	0.754851i	$-0.727709\pi$
$739$	−15.9281	+	6.59764i	−0.585925	+	0.242698i	0.0699714	+	0.997549i	$0.477709\pi$
$740$	−20.2422	+	14.8426i	−0.744117	+	0.545623i
$741$	−0.178235	+	0.430298i	−0.00654764	+	0.0158074i
$742$	−43.1201	−	36.8952i	−1.58299	−	1.35447i
$743$	43.6105			1.59991			0.799957	−	0.600058i	$-0.204856\pi$
$743$	43.6105			1.59991			0.799957	+	0.600058i	$0.204856\pi$
$744$	0.759215	+	0.468073i	0.0278342	+	0.0171604i
$745$	2.01508	+	3.89515i	0.0738268	+	0.142707i
$746$	28.0528	−	32.7858i	1.02709	−	1.20037i
$747$	19.0028	+	45.8769i	0.695278	+	1.67855i
$748$	5.32716	−	22.0145i	0.194780	−	0.804930i
$749$	37.1767	−	15.3991i	1.35841	−	0.562670i
$750$	−3.65301	−	1.78089i	−0.133389	−	0.0650290i
$751$	23.0493			0.841081			0.420540	−	0.907274i	$-0.361841\pi$
$751$	23.0493			0.841081			0.420540	+	0.907274i	$0.361841\pi$
$752$	30.7956	+	15.8311i	1.12300	+	0.577302i
$753$	−0.586147	+	0.586147i	−0.0213604	+	0.0213604i
$754$	−3.94668	−	7.76307i	−0.143730	−	0.282714i
$755$	−11.8327	+	1.00483i	−0.430638	+	0.0365697i
$756$	−12.2273	−	2.95883i	−0.444704	−	0.107611i
$757$	−28.8245	+	11.9395i	−1.04764	+	0.433948i	−0.839050	−	0.544055i	$-0.816888\pi$
$757$	−28.8245	+	11.9395i	−1.04764	+	0.433948i	−0.208593	+	0.978003i	$0.566888\pi$
$758$	10.0762	−	0.783884i	0.365983	−	0.0284720i
$759$	0.200195	−	0.200195i	0.00726661	−	0.00726661i
$760$	6.10047	+	3.08168i	0.221287	+	0.111784i
$761$	−15.8143	−	15.8143i	−0.573268	−	0.573268i	0.359772	−	0.933040i	$-0.382854\pi$
$761$	−15.8143	−	15.8143i	−0.573268	−	0.573268i	−0.933040	+	0.359772i	$0.882854\pi$
$762$	−3.02789	−	2.59078i	−0.109689	−	0.0938541i
$763$	5.65520	+	13.6529i	0.204732	+	0.494267i
$764$	38.0976	+	27.7845i	1.37832	+	1.00521i
$765$	−33.5161	−	28.2693i	−1.21178	−	1.02208i
$766$	−3.30729	−	1.07790i	−0.119497	−	0.0389460i
$767$	−15.9779	−	15.9779i	−0.576929	−	0.576929i
$768$	0.931208	+	4.00566i	0.0336021	+	0.144542i
$769$		−	39.2686i		−	1.41606i	−0.706182	−	0.708030i	$-0.749584\pi$
$769$		−	39.2686i		−	1.41606i	0.706182	−	0.708030i	$-0.250416\pi$
$770$	17.9468	+	12.8950i	0.646758	+	0.464703i
$771$	−0.363802	−	0.878296i	−0.0131020	−	0.0316310i
$772$	9.25361	−	1.44855i	0.333045	−	0.0521345i
$773$	−5.52014	+	2.28651i	−0.198545	+	0.0822402i	−0.479741	−	0.877410i	$-0.659269\pi$
$773$	−5.52014	+	2.28651i	−0.198545	+	0.0822402i	0.281195	+	0.959651i	$0.409269\pi$
$774$	−2.40166	−	30.8714i	−0.0863259	−	1.10965i
$775$	−6.04642	+	1.03438i	−0.217194	+	0.0371560i
$776$	−0.449143	+	0.324472i	−0.0161233	+	0.0116479i
$777$			5.94960i			0.213441i
$778$	−0.237374	−	3.05125i	−0.00851027	−	0.109392i
$779$	−9.24056	−	3.82756i	−0.331077	−	0.137137i
$780$	0.999889	−	1.64781i	0.0358018	−	0.0590011i
$781$	2.32398	+	5.61059i	0.0831586	+	0.200763i
$782$	5.84163	+	1.90388i	0.208896	+	0.0680825i
$783$	−3.96063	−	3.96063i	−0.141541	−	0.141541i
$784$	12.2340	+	38.1190i	0.436929	+	1.36139i
$785$	−7.83932	−	15.1534i	−0.279797	−	0.540848i
$786$	−0.338902	−	0.666615i	−0.0120882	−	0.0237774i
$787$	12.6232	−	30.4752i	0.449970	−	1.08632i	−0.522363	−	0.852723i	$-0.674949\pi$
$787$	12.6232	−	30.4752i	0.449970	−	1.08632i	0.972333	−	0.233600i	$-0.0750507\pi$
$788$	21.3122	+	5.15722i	0.759216	+	0.183718i
$789$	−1.39629	+	3.37093i	−0.0497091	+	0.120008i
$790$	−8.58702	+	36.6176i	−0.305512	+	1.30280i
$791$	16.7912	+	16.7912i	0.597025	+	0.597025i
$792$	−13.6819	+	3.24568i	−0.486166	+	0.115330i
$793$		−	0.677086i		−	0.0240440i
$794$	3.18770	+	40.9752i	0.113127	+	1.45416i
$795$	3.60555	−	4.27475i	0.127876	−	0.151610i
$796$	−35.7055	+	5.58930i	−1.26555	+	0.198107i
$797$	7.76477	−	18.7458i	0.275042	−	0.664011i	−0.724642	−	0.689125i	$-0.757995\pi$
$797$	7.76477	−	18.7458i	0.275042	−	0.664011i	0.999685	+	0.0251143i	$0.00799496\pi$
$798$	1.44410	−	0.734170i	0.0511207	−	0.0259893i
$799$	57.8554			2.04678
$800$	−23.0123	−	16.4449i	−0.813607	−	0.581415i
$801$	−25.6424			−0.906029
$802$	13.7706	−	7.00085i	0.486256	−	0.247209i
$803$	−3.67263	+	8.86651i	−0.129604	+	0.312892i
$804$	−0.883141	−	5.64167i	−0.0311460	−	0.198966i
$805$	−3.86497	+	4.58232i	−0.136222	+	0.161505i
$806$	−0.225651	−	2.90056i	−0.00794823	−	0.102168i
$807$			4.78192i			0.168332i
$808$	13.2851	−	21.5484i	0.467368	−	0.758072i
$809$	−1.75888	−	1.75888i	−0.0618389	−	0.0618389i	0.675511	−	0.737350i	$-0.263923\pi$
$809$	−1.75888	−	1.75888i	−0.0618389	−	0.0618389i	−0.737350	+	0.675511i	$0.763923\pi$
$810$	−6.07174	+	25.8917i	−0.213339	+	0.909741i
$811$	−4.48133	+	10.8189i	−0.157361	+	0.379903i	−0.982822	−	0.184556i	$-0.940915\pi$
$811$	−4.48133	+	10.8189i	−0.157361	+	0.379903i	0.825461	+	0.564459i	$0.190915\pi$
$812$	−7.12438	+	29.4415i	−0.250017	+	1.03319i
$813$	−0.820668	+	1.98127i	−0.0287821	+	0.0694861i
$814$	6.09544	+	11.9897i	0.213645	+	0.420237i
$815$	−11.3689	−	21.9760i	−0.398234	−	0.769787i
$816$	4.44370	+	5.24101i	0.155561	+	0.183472i
$817$	5.70259	+	5.70259i	0.199508	+	0.199508i
$818$	−26.7491	−	8.71793i	−0.935259	−	0.304815i
$819$	7.76441	+	18.7449i	0.271310	+	0.655001i
$820$	35.3864	+	21.4724i	1.23575	+	0.749848i
$821$	−21.5004	−	8.90578i	−0.750371	−	0.310814i	−0.0254779	−	0.999675i	$-0.508111\pi$
$821$	−21.5004	−	8.90578i	−0.750371	−	0.310814i	−0.724893	+	0.688862i	$0.758111\pi$
$822$	0.547817	+	7.04174i	0.0191073	+	0.245609i
$823$			17.6485i			0.615187i	0.951518	+	0.307594i	$0.0995237\pi$
$823$			17.6485i			0.615187i	−0.951518	+	0.307594i	$0.900476\pi$
$824$	−20.6768	−	3.33217i	−0.720311	−	0.116081i
$825$	−1.25815	+	1.77746i	−0.0438030	+	0.0618830i
$826$	6.09599	+	78.3588i	0.212106	+	2.72645i
$827$	11.1043	−	4.59956i	0.386135	−	0.159942i	−0.181167	−	0.983452i	$-0.557987\pi$
$827$	11.1043	−	4.59956i	0.386135	−	0.159942i	0.567302	+	0.823510i	$0.307987\pi$
$828$	−0.589917	−	3.76850i	−0.0205010	−	0.130964i
$829$	11.2515	+	27.1635i	0.390781	+	0.943428i	0.989770	+	0.142671i	$0.0455692\pi$
$829$	11.2515	+	27.1635i	0.390781	+	0.943428i	−0.598989	+	0.800757i	$0.704431\pi$
$830$	43.4652	+	31.2303i	1.50870	+	1.08402i
$831$			0.831734i			0.0288525i
$832$	8.76701	−	10.1533i	0.303941	−	0.352001i
$833$	47.2989	+	47.2989i	1.63881	+	1.63881i
$834$	−5.13272	−	1.67283i	−0.177731	−	0.0579254i
$835$	−9.71154	−	8.19124i	−0.336082	−	0.283470i
$836$	2.15799	−	2.95900i	0.0746357	−	0.102339i
$837$	−0.716074	−	1.72876i	−0.0247511	−	0.0597545i
$838$	9.82707	+	8.40842i	0.339470	+	0.290464i
$839$	−15.5757	−	15.5757i	−0.537734	−	0.537734i	0.385129	−	0.922863i	$-0.374157\pi$
$839$	−15.5757	−	15.5757i	−0.537734	−	0.537734i	−0.922863	+	0.385129i	$0.874157\pi$
$840$	−6.36883	+	2.09386i	−0.219745	+	0.0722449i
$841$	10.9695	−	10.9695i	0.378260	−	0.378260i
$842$	25.8570	−	2.01157i	0.891092	−	0.0693232i
$843$	1.36995	−	0.567454i	0.0471837	−	0.0195441i
$844$	6.40314	−	26.4610i	0.220405	−	0.910825i
$845$	22.7000	−	1.92768i	0.780904	−	0.0663142i
$846$	−16.2777	−	32.0180i	−0.559638	−	1.10080i
$847$	−23.7049	+	23.7049i	−0.814511	+	0.814511i
$848$	29.6863	−	25.1702i	1.01943	−	0.864348i
$849$	−2.86271			−0.0982478
$850$	−46.7584	−	6.85781i	−1.60380	−	0.235221i
$851$	−3.37079	+	1.39622i	−0.115549	+	0.0478620i
$852$	−1.79064	−	0.433307i	−0.0613464	−	0.0148449i
$853$	0.00207674	+	0.00501369i	7.11061e−5	+	0.000171665i	0.923915	−	0.382598i	$-0.124970\pi$
$853$	0.00207674	+	0.00501369i	7.11061e−5	+	0.000171665i	−0.923844	+	0.382769i	$0.874970\pi$
$854$	−1.53112	+	1.78945i	−0.0523939	+	0.0612336i
$855$	−3.25757	−	6.29688i	−0.111407	−	0.215349i
$856$	6.36995	+	26.8521i	0.217721	+	0.917786i
$857$	32.4343			1.10794			0.553968	−	0.832538i	$-0.313113\pi$
$857$	32.4343			1.10794			0.553968	+	0.832538i	$0.313113\pi$
$858$	−0.784756	−	0.671468i	−0.0267911	−	0.0229235i
$859$	0.115888	−	0.279778i	0.00395405	−	0.00954591i	−0.921890	−	0.387451i	$-0.873356\pi$
$859$	0.115888	−	0.279778i	0.00395405	−	0.00954591i	0.925844	+	0.377905i	$0.123356\pi$
$860$	−19.7350	−	26.9145i	−0.672959	−	0.917776i
$861$	9.06417	−	3.75450i	0.308906	−	0.127953i
$862$	−0.0578764	−	0.113842i	−0.00197128	−	0.00387748i
$863$	−8.86758	+	8.86758i	−0.301856	+	0.301856i	−0.841740	−	0.539884i	$-0.818468\pi$
$863$	−8.86758	+	8.86758i	−0.301856	+	0.301856i	0.539884	+	0.841740i	$0.318468\pi$
$864$	3.33758	−	7.95612i	0.113547	−	0.270673i
$865$	7.74611	+	14.9732i	0.263376	+	0.509105i
$866$	25.7777	+	8.40136i	0.875963	+	0.285490i
$867$	6.57004	+	2.72140i	0.223130	+	0.0924235i
$868$	−5.96278	+	8.17606i	−0.202390	+	0.277513i
$869$	18.6196	+	7.71249i	0.631626	+	0.261628i
$870$	−2.90611	−	0.681498i	−0.0985263	−	0.0231050i
$871$	−13.1711	+	13.1711i	−0.446285	+	0.446285i
$872$	−9.86125	+	2.33932i	−0.333944	+	0.0792194i
$873$	0.574755			0.0194525
$874$	0.754844	+	0.645874i	0.0255330	+	0.0218470i
$875$	23.3594	−	39.7543i	0.789693	−	1.34394i
$876$	−1.51676	−	2.48516i	−0.0512465	−	0.0839658i
$877$	−30.7451	−	12.7350i	−1.03819	−	0.430031i	−0.202527	−	0.979277i	$-0.564915\pi$
$877$	−30.7451	−	12.7350i	−1.03819	−	0.430031i	−0.835661	+	0.549245i	$0.814915\pi$
$878$	−39.5972	−	12.9054i	−1.33634	−	0.435535i
$879$			0.201859i			0.00680852i
$880$	−10.6893	+	10.7445i	−0.360336	+	0.362197i
$881$		−	13.0165i		−	0.438537i	−0.975665	−	0.219268i	$-0.929633\pi$
$881$		−	13.0165i		−	0.438537i	0.975665	−	0.219268i	$-0.0703671\pi$
$882$	12.8683	−	39.4834i	0.433297	−	1.32948i
$883$	7.52417	+	3.11662i	0.253209	+	0.104882i	0.505678	−	0.862723i	$-0.331243\pi$
$883$	7.52417	+	3.11662i	0.253209	+	0.104882i	−0.252469	+	0.967605i	$0.581243\pi$
$884$	5.27158	−	21.7848i	0.177302	−	0.732702i
$885$	−7.71716	+	0.655340i	−0.259410	+	0.0220290i
$886$	−0.512403	+	0.598855i	−0.0172145	+	0.0201189i
$887$	−4.29355			−0.144163			−0.0720817	−	0.997399i	$-0.522964\pi$
$887$	−4.29355			−0.144163			−0.0720817	+	0.997399i	$0.522964\pi$
$888$	−4.02839	−	0.649194i	−0.135184	−	0.0217855i
$889$	31.9705	−	31.9705i	1.07226	−	1.07226i
$890$	−23.4888	+	14.5650i	−0.787346	+	0.488219i
$891$	13.1656	+	5.45337i	0.441064	+	0.182695i
$892$	−6.46591	−	41.3054i	−0.216495	−	1.38301i
$893$	8.64272	+	3.57993i	0.289218	+	0.119798i
$894$	−0.220911	+	0.677818i	−0.00738838	+	0.0226696i
$895$	23.8427	+	7.58447i	0.796974	+	0.253521i
$896$	−46.1299	+	7.00851i	−1.54109	+	0.234138i
$897$	0.198106	−	0.198106i	0.00661456	−	0.00661456i
$898$	−25.7977	+	13.1153i	−0.860881	+	0.437665i
$899$	−4.16257	+	1.72419i	−0.138829	+	0.0575050i
$900$	9.36030	+	27.8062i	0.312010	+	0.926872i
$901$	24.8860	−	60.0802i	0.829073	−	2.00156i
$902$	14.4196	−	16.8524i	0.480120	−	0.561125i
$903$	−7.91074			−0.263253
$904$	−13.2012	+	9.53689i	−0.439067	+	0.317192i
$905$	22.8586	−	11.8255i	0.759846	−	0.393092i
$906$	−1.46680	−	1.25505i	−0.0487311	−	0.0416962i
$907$	3.25588	+	7.86039i	0.108110	+	0.261000i	0.968671	−	0.248346i	$-0.0798871\pi$
$907$	3.25588	+	7.86039i	0.108110	+	0.261000i	−0.860562	+	0.509347i	$0.829887\pi$
$908$	−27.9656	+	17.0682i	−0.928072	+	0.566427i
$909$	−24.2601	+	10.0489i	−0.804656	+	0.333299i
$910$	17.7595	+	12.7604i	0.588723	+	0.423004i
$911$	−35.9659			−1.19160			−0.595802	−	0.803131i	$-0.703166\pi$
$911$	−35.9659			−1.19160			−0.595802	+	0.803131i	$0.703166\pi$
$912$	0.339522	+	1.05789i	0.0112427	+	0.0350303i
$913$	20.2793	−	20.2793i	0.671148	−	0.671148i
$914$	11.9327	−	6.06648i	0.394698	−	0.200661i
$915$	−0.177398	−	0.149627i	−0.00586461	−	0.00494653i
$916$	−1.01097	+	0.617022i	−0.0334034	+	0.0203870i
$917$	7.83874	−	3.24691i	0.258858	−	0.107222i
$918$	−1.11810	−	14.3723i	−0.0369029	−	0.474357i
$919$	24.9532	−	24.9532i	0.823129	−	0.823129i	−0.163427	−	0.986555i	$-0.552255\pi$
$919$	24.9532	−	24.9532i	0.823129	−	0.823129i	0.986555	+	0.163427i	$0.0522547\pi$
$920$	−2.68090	−	3.11692i	−0.0883865	−	0.102762i
$921$	−1.94795	−	1.94795i	−0.0641870	−	0.0641870i
$922$	17.6921	−	20.6771i	0.582659	−	0.680963i
$923$	2.29973	+	5.55204i	0.0756966	+	0.182748i
$924$	0.555587	+	3.54919i	0.0182775	+	0.116760i
$925$	23.7451	−	14.9576i	0.780733	−	0.491802i
$926$	−7.22855	+	22.1792i	−0.237545	+	0.728854i
$927$	15.3618	+	15.3618i	0.504547	+	0.504547i
$928$	−19.1571	−	8.03635i	−0.628861	−	0.263806i
$929$		−	42.1006i		−	1.38128i	−0.723200	−	0.690639i	$-0.757330\pi$
$929$		−	42.1006i		−	1.38128i	0.723200	−	0.690639i	$-0.242670\pi$
$930$	−0.809820	−	0.581865i	−0.0265550	−	0.0190801i
$931$	4.13901	+	9.99245i	0.135651	+	0.327489i
$932$	2.90970	−	3.98973i	0.0953105	−	0.130688i
$933$	6.06447	−	2.51199i	0.198542	−	0.0822387i
$934$	43.1115	−	3.35390i	1.41065	−	0.109743i
$935$	−7.67643	+	24.1318i	−0.251046	+	0.789194i
$936$	−13.5392	+	3.21181i	−0.442542	+	0.104981i
$937$		−	7.33789i		−	0.239718i	−0.992791	−	0.119859i	$-0.961756\pi$
$937$		−	7.33789i		−	0.239718i	0.992791	−	0.119859i	$-0.0382443\pi$
$938$	64.5936	−	5.02511i	2.10906	−	0.164076i
$939$	−0.281844	−	0.116744i	−0.00919763	−	0.00380978i
$940$	−33.0970	−	20.0832i	−1.07950	−	0.655041i
$941$	−7.31958	−	17.6710i	−0.238611	−	0.576059i	0.758528	−	0.651640i	$-0.225919\pi$
$941$	−7.31958	−	17.6710i	−0.238611	−	0.576059i	−0.997140	+	0.0755813i	$0.975919\pi$
$942$	0.859417	−	2.63693i	0.0280013	−	0.0859159i
$943$	4.25428	+	4.25428i	0.138538	+	0.138538i
$944$	−53.7209	−	4.42266i	−1.74847	−	0.143945i
$945$	13.4033	+	4.26366i	0.436011	+	0.138697i
$946$	−15.9417	+	8.10465i	−0.518311	+	0.263505i
$947$	−18.7957	+	45.3769i	−0.610779	+	1.47455i	0.251366	+	0.967892i	$0.419120\pi$
$947$	−18.7957	+	45.3769i	−0.610779	+	1.47455i	−0.862146	+	0.506660i	$0.830880\pi$
$948$	−5.21881	+	3.18518i	−0.169499	+	0.103450i
$949$	−3.63431	+	8.77399i	−0.117975	+	0.284816i
$950$	−6.56064	−	3.91773i	−0.212855	−	0.127108i
$951$	−4.99768	−	4.99768i	−0.162061	−	0.162061i
$952$	−63.1948	+	45.6534i	−2.04816	+	1.47964i
$953$			33.2555i			1.07725i	0.842545	+	0.538626i	$0.181056\pi$
$953$			33.2555i			1.07725i	−0.842545	+	0.538626i	$0.818944\pi$
$954$	−40.2509	+	3.13135i	−1.30317	+	0.101381i
$955$	−40.2983	−	33.9898i	−1.30402	−	1.09988i
$956$	33.8536	+	24.6894i	1.09491	+	0.798512i
$957$	−0.612092	+	1.47772i	−0.0197861	+	0.0477679i
$958$	−3.81699	−	7.50797i	−0.123321	−	0.242571i
$959$	−80.1356			−2.58771
$960$	−0.722783	−	4.54072i	−0.0233277	−	0.146551i
$961$	29.4948			0.951446
$962$	6.03184	+	11.8645i	0.194474	+	0.382528i
$963$	10.9550	−	26.4477i	0.353020	−	0.852265i
$964$	−29.2626	−	21.3412i	−0.942486	−	0.687353i
$965$	−10.4343	+	0.886077i	−0.335892	+	0.0285238i
$966$	−0.971551	+	0.0755826i	−0.0312591	+	0.00243183i
$967$		−	24.2489i		−	0.779792i	−0.920859	−	0.389896i	$-0.872511\pi$
$967$		−	24.2489i		−	0.779792i	0.920859	−	0.389896i	$-0.127489\pi$
$968$	−13.4637	−	18.6369i	−0.432740	−	0.599012i
$969$	1.31265	+	1.31265i	0.0421685	+	0.0421685i
$970$	0.526485	−	0.326464i	0.0169044	−	0.0104821i
$971$	4.29335	−	10.3651i	0.137780	−	0.332631i	−0.839896	−	0.542747i	$-0.817384\pi$
$971$	4.29335	−	10.3651i	0.137780	−	0.332631i	0.977676	+	0.210116i	$0.0673842\pi$
$972$	−11.5014	+	7.01961i	−0.368907	+	0.225154i
$973$	23.4392	−	56.5873i	0.751427	−	1.81411i
$974$	−34.0634	+	17.3175i	−1.09146	+	0.554890i
$975$	−1.24502	+	1.75891i	−0.0398725	+	0.0563301i
$976$	−1.04454	−	1.23196i	−0.0334349	−	0.0394340i
$977$	−23.5053	−	23.5053i	−0.752001	−	0.752001i	0.222852	−	0.974852i	$-0.428463\pi$
$977$	−23.5053	−	23.5053i	−0.752001	−	0.752001i	−0.974852	+	0.222852i	$0.928463\pi$
$978$	1.24636	−	3.82417i	0.0398541	−	0.122284i
$979$	5.66745	+	13.6824i	0.181132	+	0.437292i
$980$	−10.6392	−	43.4766i	−0.339858	−	1.38881i
$981$	9.71273	+	4.02314i	0.310104	+	0.128449i
$982$	46.6614	−	3.63006i	1.48902	−	0.115840i
$983$		−	4.02651i		−	0.128426i	−0.997936	−	0.0642128i	$-0.979546\pi$
$983$		−	4.02651i		−	0.128426i	0.997936	−	0.0642128i	$-0.0204536\pi$
$984$	1.55308	+	6.54690i	0.0495104	+	0.208708i
$985$	−23.3620	−	7.43154i	−0.744374	−	0.236789i
$986$	−34.6062	+	2.69222i	−1.10209	+	0.0857376i
$987$	−8.47775	+	3.51160i	−0.269850	+	0.111775i
$988$	2.13547	−	2.92813i	0.0679385	−	0.0931561i
$989$	−1.85646	−	4.48188i	−0.0590318	−	0.142515i
$990$	15.5146	−	2.54126i	0.493088	−	0.0807666i
$991$		−	2.24400i		−	0.0712830i	−0.999365	−	0.0356415i	$-0.988653\pi$
$991$		−	2.24400i		−	0.0712830i	0.999365	−	0.0356415i	$-0.0113474\pi$
$992$	−4.88526	−	4.92945i	−0.155107	−	0.156510i
$993$	3.47397	+	3.47397i	0.110243	+	0.110243i
$994$	6.47716	−	19.8738i	0.205443	−	0.630357i
$995$	40.2612	−	3.41897i	1.27636	−	0.108389i
$996$	1.34557	+	8.59577i	0.0426361	+	0.272367i
$997$	−2.45350	−	5.92328i	−0.0777032	−	0.187592i	0.880254	−	0.474502i	$-0.157372\pi$
$997$	−2.45350	−	5.92328i	−0.0777032	−	0.187592i	−0.957958	+	0.286910i	$0.907372\pi$
$998$	−10.0285	+	11.7205i	−0.317446	+	0.371004i
$999$	6.05316	+	6.05316i	0.191514	+	0.191514i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	160.2.u.a.43.15	✓	88
4.3	odd	2		640.2.u.a.463.11		88
5.2	odd	4		160.2.ba.a.107.4	yes	88
5.3	odd	4		800.2.bb.b.107.19		88
5.4	even	2		800.2.v.b.43.8		88
20.7	even	4		640.2.ba.a.207.12		88
32.3	odd	8		160.2.ba.a.3.4	yes	88
32.29	even	8		640.2.ba.a.303.12		88
160.3	even	8		800.2.v.b.707.8		88
160.67	even	8	inner	160.2.u.a.67.15	yes	88
160.99	odd	8		800.2.bb.b.643.19		88
160.157	odd	8		640.2.u.a.47.11		88

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
160.2.u.a.43.15	✓	88	1.1	even	1	trivial
160.2.u.a.67.15	yes	88	160.67	even	8	inner
160.2.ba.a.3.4	yes	88	32.3	odd	8
160.2.ba.a.107.4	yes	88	5.2	odd	4
640.2.u.a.47.11		88	160.157	odd	8
640.2.u.a.463.11		88	4.3	odd	2
640.2.ba.a.207.12		88	20.7	even	4
640.2.ba.a.303.12		88	32.29	even	8
800.2.v.b.43.8		88	5.4	even	2
800.2.v.b.707.8		88	160.3	even	8
800.2.bb.b.107.19		88	5.3	odd	4
800.2.bb.b.643.19		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)

\(f(q)\)	\(=\)	\(q+(0.640905 + 1.26065i) q^{2} +(0.0983610 - 0.237464i) q^{3} +(-1.17848 + 1.61591i) q^{4} +(1.44168 - 1.70926i) q^{5} +(0.362400 - 0.0281932i) q^{6} +4.12414i q^{7} +(-2.79240 - 0.450008i) q^{8} +(2.07461 + 2.07461i) q^{9} +O(q^{10})\)	\(q+(0.640905 + 1.26065i) q^{2} +(0.0983610 - 0.237464i) q^{3} +(-1.17848 + 1.61591i) q^{4} +(1.44168 - 1.70926i) q^{5} +(0.362400 - 0.0281932i) q^{6} +4.12414i q^{7} +(-2.79240 - 0.450008i) q^{8} +(2.07461 + 2.07461i) q^{9} +(3.07876 + 0.721985i) q^{10} +(0.648455 - 1.56551i) q^{11} +(0.267805 + 0.438790i) q^{12} +(0.641689 - 1.54917i) q^{13} +(-5.19910 + 2.64318i) q^{14} +(-0.264083 - 0.510472i) q^{15} +(-1.22236 - 3.80865i) q^{16} +(-4.72586 - 4.72586i) q^{17} +(-1.28573 + 3.94498i) q^{18} +(-0.413548 - 0.998394i) q^{19} +(1.06302 + 4.34396i) q^{20} +(0.979336 + 0.405654i) q^{21} +(2.38916 - 0.185866i) q^{22} +0.650047i q^{23} +(-0.381524 + 0.618832i) q^{24} +(-0.843118 - 4.92840i) q^{25} +(2.36423 - 0.183927i) q^{26} +(1.40910 - 0.583668i) q^{27} +(-6.66426 - 4.86023i) q^{28} +(-1.40538 - 3.39288i) q^{29} +(0.474275 - 0.660080i) q^{30} -1.22685i q^{31} +(4.01797 - 3.98195i) q^{32} +(-0.307970 - 0.307970i) q^{33} +(2.92883 - 8.98648i) q^{34} +(7.04921 + 5.94569i) q^{35} +(-5.79727 + 0.907499i) q^{36} +(2.14788 + 5.18545i) q^{37} +(0.993581 - 1.16122i) q^{38} +(-0.304756 - 0.304756i) q^{39} +(-4.79493 + 4.12416i) q^{40} +(6.54457 - 6.54457i) q^{41} +(0.116273 + 1.49459i) q^{42} +(-6.89471 + 2.85588i) q^{43} +(1.76554 + 2.89277i) q^{44} +(6.53695 - 0.555116i) q^{45} +(-0.819482 + 0.416618i) q^{46} +(-6.12116 + 6.12116i) q^{47} +(-1.02465 - 0.0843562i) q^{48} -10.0085 q^{49} +(5.67264 - 4.22151i) q^{50} +(-1.58706 + 0.657383i) q^{51} +(1.74711 + 2.86259i) q^{52} +(3.72357 + 8.98950i) q^{53} +(1.63890 + 1.40231i) q^{54} +(-1.74099 - 3.36534i) q^{55} +(1.85590 - 11.5162i) q^{56} -0.277760 q^{57} +(3.37653 - 3.94621i) q^{58} +(5.15691 - 12.4499i) q^{59} +(1.13610 + 0.174847i) q^{60} +(0.373056 - 0.154525i) q^{61} +(1.54663 - 0.786295i) q^{62} +(-8.55596 + 8.55596i) q^{63} +(7.59499 + 2.51320i) q^{64} +(-1.72283 - 3.33022i) q^{65} +(0.190863 - 0.585622i) q^{66} +(-10.2628 - 4.25100i) q^{67} +(13.2059 - 2.06724i) q^{68} +(0.154363 + 0.0639392i) q^{69} +(-2.97757 + 12.6972i) q^{70} +(-2.53418 + 2.53418i) q^{71} +(-4.85954 - 6.72672i) q^{72} -5.66366 q^{73} +(-5.16046 + 6.03111i) q^{74} +(-1.25325 - 0.284552i) q^{75} +(2.10068 + 0.508331i) q^{76} +(6.45638 + 2.67432i) q^{77} +(0.188872 - 0.579511i) q^{78} +11.8936i q^{79} +(-8.27222 - 3.40153i) q^{80} +8.40979i q^{81} +(12.4449 + 4.05598i) q^{82} +(15.6367 + 6.47691i) q^{83} +(-1.80963 + 1.10447i) q^{84} +(-14.8909 + 1.26453i) q^{85} +(-8.01912 - 6.86147i) q^{86} -0.943923 q^{87} +(-2.51524 + 4.07972i) q^{88} +(-6.18006 + 6.18006i) q^{89} +(4.88937 + 7.88504i) q^{90} +(6.38901 + 2.64641i) q^{91} +(-1.05042 - 0.766068i) q^{92} +(-0.291334 - 0.120674i) q^{93} +(-11.6397 - 3.79357i) q^{94} +(-2.30272 - 0.732504i) q^{95} +(-0.550360 - 1.34579i) q^{96} +(0.138522 - 0.138522i) q^{97} +(-6.41451 - 12.6173i) q^{98} +(4.59310 - 1.90253i) 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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