LMFDB - Embedded newform 160.2.u.a.43.13

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			43.13
Character	$\chi$	$=$	160.43
Dual form			160.2.u.a.67.13

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.375898 + 1.36334i) q^{2} +(-0.508197 + 1.22690i) q^{3} +(-1.71740 + 1.02496i) q^{4} +(-2.07129 + 0.842463i) q^{5} +(-1.86371 - 0.231658i) q^{6} -0.810621i q^{7} +(-2.04293 - 1.95613i) q^{8} +(0.874309 + 0.874309i) q^{9} +O(q^{10})$	\(q+(0.375898 + 1.36334i) q^{2} +(-0.508197 + 1.22690i) q^{3} +(-1.71740 + 1.02496i) q^{4} +(-2.07129 + 0.842463i) q^{5} +(-1.86371 - 0.231658i) q^{6} -0.810621i q^{7} +(-2.04293 - 1.95613i) q^{8} +(0.874309 + 0.874309i) q^{9} +(-1.92716 - 2.50720i) q^{10} +(0.353731 - 0.853982i) q^{11} +(-0.384736 - 2.62795i) q^{12} +(-1.60120 + 3.86563i) q^{13} +(1.10515 - 0.304711i) q^{14} +(0.0190103 - 2.96940i) q^{15} +(1.89893 - 3.52052i) q^{16} +(4.37679 + 4.37679i) q^{17} +(-0.863331 + 1.52063i) q^{18} +(-0.285895 - 0.690211i) q^{19} +(2.69375 - 3.56983i) q^{20} +(0.994548 + 0.411955i) q^{21} +(1.29724 + 0.161246i) q^{22} +5.36098i q^{23} +(3.43818 - 1.51237i) q^{24} +(3.58051 - 3.48998i) q^{25} +(-5.87207 - 0.729895i) q^{26} +(-5.19770 + 2.15296i) q^{27} +(0.830850 + 1.39216i) q^{28} +(1.48464 + 3.58424i) q^{29} +(4.05545 - 1.09027i) q^{30} -9.06865i q^{31} +(5.51348 + 1.26554i) q^{32} +(0.867982 + 0.867982i) q^{33} +(-4.32183 + 7.61229i) q^{34} +(0.682918 + 1.67903i) q^{35} +(-2.39767 - 0.605412i) q^{36} +(0.360559 + 0.870467i) q^{37} +(0.833526 - 0.649221i) q^{38} +(-3.92901 - 3.92901i) q^{39} +(5.87948 + 2.33061i) q^{40} +(0.572180 - 0.572180i) q^{41} +(-0.187787 + 1.51076i) q^{42} +(10.6801 - 4.42382i) q^{43} +(0.267796 + 1.82919i) q^{44} +(-2.54752 - 1.07438i) q^{45} +(-7.30885 + 2.01518i) q^{46} +(-1.59734 + 1.59734i) q^{47} +(3.35428 + 4.11891i) q^{48} +6.34289 q^{49} +(6.10394 + 3.56959i) q^{50} +(-7.59414 + 3.14560i) q^{51} +(-1.21220 - 8.28000i) q^{52} +(-1.91662 - 4.62712i) q^{53} +(-4.88902 - 6.27695i) q^{54} +(-0.0132321 + 2.06685i) q^{55} +(-1.58568 + 1.65604i) q^{56} +0.992109 q^{57} +(-4.32846 + 3.37138i) q^{58} +(-0.996806 + 2.40650i) q^{59} +(3.01085 + 5.11914i) q^{60} +(5.76047 - 2.38607i) q^{61} +(12.3637 - 3.40889i) q^{62} +(0.708734 - 0.708734i) q^{63} +(0.347145 + 7.99246i) q^{64} +(0.0598966 - 9.35581i) q^{65} +(-0.857084 + 1.50963i) q^{66} +(-5.66126 - 2.34497i) q^{67} +(-12.0027 - 3.03069i) q^{68} +(-6.57737 - 2.72444i) q^{69} +(-2.03239 + 1.56220i) q^{70} +(-1.22326 + 1.22326i) q^{71} +(-0.0758959 - 3.49641i) q^{72} -11.4586 q^{73} +(-1.05121 + 0.818772i) q^{74} +(2.46223 + 6.16651i) q^{75} +(1.19843 + 0.892340i) q^{76} +(-0.692256 - 0.286742i) q^{77} +(3.87967 - 6.83349i) q^{78} -17.0418i q^{79} +(-0.967340 + 8.89181i) q^{80} -3.76178i q^{81} +(0.995159 + 0.564996i) q^{82} +(7.93236 + 3.28569i) q^{83} +(-2.13027 + 0.311875i) q^{84} +(-12.7529 - 5.37833i) q^{85} +(10.0458 + 12.8977i) q^{86} -5.15198 q^{87} +(-2.39314 + 1.05269i) q^{88} +(-7.65721 + 7.65721i) q^{89} +(0.507134 - 3.87700i) q^{90} +(3.13356 + 1.29796i) q^{91} +(-5.49477 - 9.20696i) q^{92} +(11.1263 + 4.60866i) q^{93} +(-2.77815 - 1.57728i) q^{94} +(1.17365 + 1.18877i) q^{95} +(-4.35462 + 6.12132i) q^{96} +(-2.02530 + 2.02530i) q^{97} +(2.38428 + 8.64753i) q^{98} +(1.05591 - 0.437374i) 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 $

$2$	0.375898	+	1.36334i	0.265800	+	0.964028i
$2$	0.375898	+	1.36334i	0.265800	+	0.964028i
$3$	−0.508197	+	1.22690i	−0.293408	+	0.708349i	0.706592	+	0.707621i	$0.250232\pi$
$3$	−0.508197	+	1.22690i	−0.293408	+	0.708349i	−1.00000		0.000727832i	$0.999768\pi$
$4$	−1.71740	+	1.02496i	−0.858701	+	0.512478i
$5$	−2.07129	+	0.842463i	−0.926311	+	0.376761i
$5$	−2.07129	+	0.842463i	−0.926311	+	0.376761i
$6$	−1.86371	−	0.231658i	−0.760856	−	0.0945741i
$7$		−	0.810621i		−	0.306386i	−0.988196	−	0.153193i	$-0.951044\pi$
$7$		−	0.810621i		−	0.306386i	0.988196	−	0.153193i	$-0.0489556\pi$
$8$	−2.04293	−	1.95613i	−0.722286	−	0.691595i
$9$	0.874309	+	0.874309i	0.291436	+	0.291436i
$10$	−1.92716	−	2.50720i	−0.609422	−	0.792846i
$11$	0.353731	−	0.853982i	0.106654	−	0.257485i	−0.861538	−	0.507692i	$-0.830499\pi$
$11$	0.353731	−	0.853982i	0.106654	−	0.257485i	0.968192	+	0.250207i	$0.0804987\pi$
$12$	−0.384736	−	2.62795i	−0.111064	−	0.758625i
$13$	−1.60120	+	3.86563i	−0.444092	+	1.07213i	0.530407	+	0.847743i	$0.322039\pi$
$13$	−1.60120	+	3.86563i	−0.444092	+	1.07213i	−0.974499	+	0.224391i	$0.927961\pi$
$14$	1.10515	−	0.304711i	0.295365	−	0.0814374i
$15$	0.0190103	−	2.96940i	0.00490845	−	0.766696i
$16$	1.89893	−	3.52052i	0.474733	−	0.880130i
$17$	4.37679	+	4.37679i	1.06153	+	1.06153i	0.997979	+	0.0635485i	$0.0202418\pi$
$17$	4.37679	+	4.37679i	1.06153	+	1.06153i	0.0635485	+	0.997979i	$0.479758\pi$
$18$	−0.863331	+	1.52063i	−0.203489	+	0.358417i
$19$	−0.285895	−	0.690211i	−0.0655888	−	0.158345i	0.887687	−	0.460448i	$-0.152311\pi$
$19$	−0.285895	−	0.690211i	−0.0655888	−	0.158345i	−0.953275	+	0.302103i	$0.902311\pi$
$20$	2.69375	−	3.56983i	0.602342	−	0.798238i
$21$	0.994548	+	0.411955i	0.217028	+	0.0898960i
$22$	1.29724	+	0.161246i	0.276572	+	0.0343777i
$23$			5.36098i			1.11784i	0.829221	+	0.558921i	$0.188785\pi$
$23$			5.36098i			1.11784i	−0.829221	+	0.558921i	$0.811215\pi$
$24$	3.43818	−	1.51237i	0.701815	−	0.308711i
$25$	3.58051	−	3.48998i	0.716102	−	0.697995i
$26$	−5.87207	−	0.729895i	−1.15161	−	0.143144i
$27$	−5.19770	+	2.15296i	−1.00030	+	0.414337i
$28$	0.830850	+	1.39216i	0.157016	+	0.263094i
$29$	1.48464	+	3.58424i	0.275691	+	0.665576i	0.999707	−	0.0242069i	$-0.00770605\pi$
$29$	1.48464	+	3.58424i	0.275691	+	0.665576i	−0.724016	+	0.689783i	$0.757706\pi$
$30$	4.05545	−	1.09027i	0.740421	−	0.199056i
$31$		−	9.06865i		−	1.62878i	−0.580319	−	0.814389i	$-0.697072\pi$
$31$		−	9.06865i		−	1.62878i	0.580319	−	0.814389i	$-0.302928\pi$
$32$	5.51348	+	1.26554i	0.974654	+	0.223718i
$33$	0.867982	+	0.867982i	0.151096	+	0.151096i
$34$	−4.32183	+	7.61229i	−0.741188	+	1.30550i
$35$	0.682918	+	1.67903i	0.115434	+	0.283809i
$36$	−2.39767	−	0.605412i	−0.399611	−	0.100902i
$37$	0.360559	+	0.870467i	0.0592756	+	0.143104i	0.950742	−	0.309982i	$-0.100323\pi$
$37$	0.360559	+	0.870467i	0.0592756	+	0.143104i	−0.891467	+	0.453086i	$0.850323\pi$
$38$	0.833526	−	0.649221i	0.135216	−	0.105318i
$39$	−3.92901	−	3.92901i	−0.629145	−	0.629145i
$40$	5.87948	+	2.33061i	0.929627	+	0.368503i
$41$	0.572180	−	0.572180i	0.0893596	−	0.0893596i	−0.661014	−	0.750374i	$-0.729874\pi$
$41$	0.572180	−	0.572180i	0.0893596	−	0.0893596i	0.750374	+	0.661014i	$0.229874\pi$
$42$	−0.187787	+	1.51076i	−0.0289762	+	0.233116i
$43$	10.6801	−	4.42382i	1.62869	−	0.674627i	0.633608	−	0.773654i	$-0.281573\pi$
$43$	10.6801	−	4.42382i	1.62869	−	0.674627i	0.995085	+	0.0990273i	$0.0315731\pi$
$44$	0.267796	+	1.82919i	0.0403717	+	0.275760i
$45$	−2.54752	−	1.07438i	−0.379763	−	0.160159i
$46$	−7.30885	+	2.01518i	−1.07763	+	0.297123i
$47$	−1.59734	+	1.59734i	−0.232995	+	0.232995i	−0.813942	−	0.580946i	$-0.802683\pi$
$47$	−1.59734	+	1.59734i	−0.232995	+	0.232995i	0.580946	+	0.813942i	$0.302683\pi$
$48$	3.35428	+	4.11891i	0.484149	+	0.594514i
$49$	6.34289			0.906128
$50$	6.10394	+	3.56959i	0.863227	+	0.504816i
$51$	−7.59414	+	3.14560i	−1.06339	+	0.440471i
$52$	−1.21220	−	8.28000i	−0.168102	−	1.14823i
$53$	−1.91662	−	4.62712i	−0.263268	−	0.635584i	0.735869	−	0.677124i	$-0.236774\pi$
$53$	−1.91662	−	4.62712i	−0.263268	−	0.635584i	−0.999137	+	0.0415393i	$0.986774\pi$
$54$	−4.88902	−	6.27695i	−0.665312	−	0.854184i
$55$	−0.0132321	+	2.06685i	−0.00178422	+	0.278694i
$56$	−1.58568	+	1.65604i	−0.211895	+	0.221298i
$57$	0.992109			0.131408
$58$	−4.32846	+	3.37138i	−0.568355	+	0.442684i
$59$	−0.996806	+	2.40650i	−0.129773	+	0.313300i	−0.975389	−	0.220492i	$-0.929234\pi$
$59$	−0.996806	+	2.40650i	−0.129773	+	0.313300i	0.845616	+	0.533792i	$0.179234\pi$
$60$	3.01085	+	5.11914i	0.388700	+	0.660878i
$61$	5.76047	−	2.38607i	0.737553	−	0.305504i	0.0179014	−	0.999840i	$-0.494301\pi$
$61$	5.76047	−	2.38607i	0.737553	−	0.305504i	0.719652	+	0.694335i	$0.244301\pi$
$62$	12.3637	−	3.40889i	1.57019	−	0.432929i
$63$	0.708734	−	0.708734i	0.0892920	−	0.0892920i
$64$	0.347145	+	7.99246i	0.0433931	+	0.999058i
$65$	0.0598966	−	9.35581i	0.00742926	−	1.16045i
$66$	−0.857084	+	1.50963i	−0.105500	+	0.185823i
$67$	−5.66126	−	2.34497i	−0.691633	−	0.286484i	0.00904731	−	0.999959i	$-0.497120\pi$
$67$	−5.66126	−	2.34497i	−0.691633	−	0.286484i	−0.700680	+	0.713475i	$0.747120\pi$
$68$	−12.0027	−	3.03069i	−1.45554	−	0.367525i
$69$	−6.57737	−	2.72444i	−0.791822	−	0.327984i
$70$	−2.03239	+	1.56220i	−0.242917	+	0.186718i
$71$	−1.22326	+	1.22326i	−0.145174	+	0.145174i	−0.775958	−	0.630784i	$-0.782733\pi$
$71$	−1.22326	+	1.22326i	−0.145174	+	0.145174i	0.630784	+	0.775958i	$0.282733\pi$
$72$	−0.0758959	−	3.49641i	−0.00894442	−	0.412056i
$73$	−11.4586			−1.34113			−0.670565	−	0.741851i	$-0.733948\pi$
$73$	−11.4586			−1.34113			−0.670565	+	0.741851i	$0.733948\pi$
$74$	−1.05121	+	0.818772i	−0.122201	+	0.0951804i
$75$	2.46223	+	6.16651i	0.284314	+	0.712048i
$76$	1.19843	+	0.892340i	0.137470	+	0.102358i
$77$	−0.692256	−	0.286742i	−0.0788899	−	0.0326773i
$78$	3.87967	−	6.83349i	0.439287	−	0.773740i
$79$		−	17.0418i		−	1.91736i	−0.284493	−	0.958678i	$-0.591825\pi$
$79$		−	17.0418i		−	1.91736i	0.284493	−	0.958678i	$-0.408175\pi$
$80$	−0.967340	+	8.89181i	−0.108152	+	0.994134i
$81$		−	3.76178i		−	0.417976i
$82$	0.995159	+	0.564996i	0.109897	+	0.0623933i
$83$	7.93236	+	3.28569i	0.870689	+	0.360651i	0.772879	−	0.634554i	$-0.218816\pi$
$83$	7.93236	+	3.28569i	0.870689	+	0.360651i	0.0978105	+	0.995205i	$0.468816\pi$
$84$	−2.13027	+	0.311875i	−0.232432	+	0.0340283i
$85$	−12.7529	−	5.37833i	−1.38325	−	0.583362i
$86$	10.0458	+	12.8977i	1.08327	+	1.39079i
$87$	−5.15198			−0.552350
$88$	−2.39314	+	1.05269i	−0.255110	+	0.112217i
$89$	−7.65721	+	7.65721i	−0.811663	+	0.811663i	−0.984883	−	0.173220i	$-0.944583\pi$
$89$	−7.65721	+	7.65721i	−0.811663	+	0.811663i	0.173220	+	0.984883i	$0.444583\pi$
$90$	0.507134	−	3.87700i	0.0534566	−	0.408672i
$91$	3.13356	+	1.29796i	0.328487	+	0.136064i
$92$	−5.49477	−	9.20696i	−0.572869	−	0.959892i
$93$	11.1263	+	4.60866i	1.15374	+	0.477896i
$94$	−2.77815	−	1.57728i	−0.286544	−	0.162684i
$95$	1.17365	+	1.18877i	0.120414	+	0.121966i
$96$	−4.35462	+	6.12132i	−0.444441	+	0.624755i
$97$	−2.02530	+	2.02530i	−0.205638	+	0.205638i	−0.802411	−	0.596772i	$-0.796450\pi$
$97$	−2.02530	+	2.02530i	−0.205638	+	0.205638i	0.596772	+	0.802411i	$0.296450\pi$
$98$	2.38428	+	8.64753i	0.240849	+	0.873533i
$99$	1.05591	−	0.437374i	0.106123	−	0.0439578i
$100$	−2.57210	+	9.66355i	−0.257210	+	0.966355i
$101$	0.295173	−	0.712610i	0.0293708	−	0.0709073i	−0.908514	−	0.417855i	$-0.862782\pi$
$101$	0.295173	−	0.712610i	0.0293708	−	0.0709073i	0.937884	+	0.346948i	$0.112782\pi$
$102$	−7.14314	−	9.17098i	−0.707277	−	0.908063i
$103$	−9.73185			−0.958908			−0.479454	−	0.877567i	$-0.659165\pi$
$103$	−9.73185			−0.958908			−0.479454	+	0.877567i	$0.659165\pi$
$104$	10.8328	−	4.76508i	1.06224	−	0.467255i
$105$	−2.40706	−	0.0154102i	−0.234905	−	0.00150388i
$106$	5.58790	−	4.35233i	0.542745	−	0.422736i
$107$	2.71497	+	6.55453i	0.262466	+	0.633650i	0.999090	−	0.0426531i	$-0.0135810\pi$
$107$	2.71497	+	6.55453i	0.262466	+	0.633650i	−0.736624	+	0.676303i	$0.763581\pi$
$108$	6.71985	−	9.02490i	0.646618	−	0.868421i
$109$	−10.2140	+	4.23080i	−0.978328	+	0.405237i	−0.813806	−	0.581137i	$-0.802608\pi$
$109$	−10.2140	+	4.23080i	−0.978328	+	0.405237i	−0.164522	+	0.986373i	$0.552608\pi$
$110$	−2.82280	+	0.758886i	−0.269143	+	0.0723570i
$111$	−1.25121			−0.118759
$112$	−2.85381	−	1.53932i	−0.269659	−	0.145452i
$113$	14.5463	−	14.5463i	1.36841	−	1.36841i	0.505690	−	0.862715i	$-0.331238\pi$
$113$	14.5463	−	14.5463i	1.36841	−	1.36841i	0.862715	−	0.505690i	$-0.168762\pi$
$114$	0.372932	+	1.35258i	0.0349283	+	0.126681i
$115$	−4.51643	−	11.1042i	−0.421159	−	1.03547i
$116$	−6.22340	−	4.63388i	−0.577828	−	0.430245i
$117$	−4.77970	+	1.97982i	−0.441884	+	0.183034i
$118$	−3.65558	−	0.454387i	−0.336524	−	0.0418297i
$119$	3.54792	−	3.54792i	0.325237	−	0.325237i
$120$	−5.84736	+	6.02910i	−0.533788	+	0.550379i
$121$	7.17401	+	7.17401i	0.652183	+	0.652183i
$122$	5.41838	+	6.95658i	0.490557	+	0.629819i
$123$	0.411226	+	0.992787i	0.0370790	+	0.0895166i
$124$	9.29496	+	15.5745i	0.834712	+	1.39863i
$125$	−4.47611	+	10.2452i	−0.400356	+	0.916360i
$126$	1.23266	+	0.699834i	0.109814	+	0.0623462i
$127$	12.0188	+	12.0188i	1.06649	+	1.06649i	0.997626	+	0.0688681i	$0.0219388\pi$
$127$	12.0188	+	12.0188i	1.06649	+	1.06649i	0.0688681	+	0.997626i	$0.478061\pi$
$128$	−10.7660	+	3.47763i	−0.951586	+	0.307382i
$129$			15.3515i			1.35162i
$130$	12.7777	−	3.43517i	1.12068	−	0.301285i
$131$	4.28707	+	10.3499i	0.374563	+	0.904274i	0.992965	+	0.118412i	$0.0377805\pi$
$131$	4.28707	+	10.3499i	0.374563	+	0.904274i	−0.618402	+	0.785862i	$0.712220\pi$
$132$	−2.38032	−	0.601031i	−0.207180	−	0.0523130i
$133$	−0.559500	+	0.231752i	−0.0485148	+	0.0200955i
$134$	1.06894	−	8.59970i	0.0923423	−	0.742901i
$135$	8.95217	−	8.83828i	0.770480	−	0.760678i
$136$	−0.379935	−	17.5030i	−0.0325791	−	1.50087i
$137$		−	1.71157i		−	0.146229i	−0.997324	−	0.0731145i	$-0.976706\pi$
$137$		−	1.71157i		−	0.146229i	0.997324	−	0.0731145i	$-0.0232938\pi$
$138$	1.24192	−	9.99132i	0.105719	−	0.850517i
$139$	1.54808	+	0.641236i	0.131306	+	0.0543889i	0.447369	−	0.894349i	$-0.352361\pi$
$139$	1.54808	+	0.641236i	0.131306	+	0.0543889i	−0.316063	+	0.948738i	$0.602361\pi$
$140$	−2.89378	−	2.18361i	−0.244569	−	0.184549i
$141$	−1.14800	−	2.77153i	−0.0966794	−	0.233405i
$142$	−2.12754	−	1.20790i	−0.178539	−	0.101365i
$143$	2.73479	+	2.73479i	0.228694	+	0.228694i
$144$	4.73828	−	1.41777i	0.394857	−	0.118147i
$145$	−6.09471	−	6.17325i	−0.506138	−	0.512660i
$146$	−4.30727	−	15.6220i	−0.356473	−	1.29289i
$147$	−3.22344	+	7.78207i	−0.265865	+	0.641855i
$148$	−1.51141	−	1.12538i	−0.124238	−	0.0925060i
$149$	7.10915	−	17.1630i	0.582404	−	1.40605i	−0.308223	−	0.951314i	$-0.599734\pi$
$149$	7.10915	−	17.1630i	0.582404	−	1.40605i	0.890627	−	0.454734i	$-0.150266\pi$
$150$	−7.48152	+	5.67485i	−0.610863	+	0.463349i
$151$	7.59514	+	7.59514i	0.618083	+	0.618083i	0.945040	−	0.326956i	$-0.106023\pi$
$151$	7.59514	+	7.59514i	0.618083	+	0.618083i	−0.326956	+	0.945040i	$0.606023\pi$
$152$	−0.766076	+	1.96930i	−0.0621370	+	0.159731i
$153$			7.65334i			0.618736i
$154$	0.130709	−	1.05157i	0.0105329	−	0.0847377i
$155$	7.64000	+	18.7838i	0.613660	+	1.50875i
$156$	10.7747	+	2.72062i	0.862670	+	0.217824i
$157$	5.63110	−	13.5947i	0.449411	−	1.08497i	−0.523133	−	0.852251i	$-0.675237\pi$
$157$	5.63110	−	13.5947i	0.449411	−	1.08497i	0.972543	−	0.232722i	$-0.0747632\pi$
$158$	23.2338	−	6.40600i	1.84839	−	0.509634i
$159$	6.65102			0.527460
$160$	−12.4862	+	2.02360i	−0.987120	+	0.159980i
$161$	4.34573			0.342491
$162$	5.12860	−	1.41405i	0.402941	−	0.111098i
$163$	1.98393	−	4.78964i	0.155394	−	0.375154i	−0.826940	−	0.562290i	$-0.809921\pi$
$163$	1.98393	−	4.78964i	0.155394	−	0.375154i	0.982334	+	0.187136i	$0.0599206\pi$
$164$	−0.396204	+	1.56912i	−0.0309383	+	0.122528i
$165$	−2.52909	−	1.06660i	−0.196889	−	0.0830349i
$166$	−1.49776	+	12.0496i	−0.116249	+	0.935230i
$167$			7.59626i			0.587817i	0.955834	+	0.293908i	$0.0949560\pi$
$167$			7.59626i			0.587817i	−0.955834	+	0.293908i	$0.905044\pi$
$168$	−1.22596	−	2.78706i	−0.0945847	−	0.215026i
$169$	−3.18690	−	3.18690i	−0.245146	−	0.245146i
$170$	2.53871	−	19.4083i	0.194710	−	1.48855i
$171$	0.353498	−	0.853419i	0.0270326	−	0.0652626i
$172$	−13.8077	+	18.5441i	−1.05283	+	1.41397i
$173$	−0.0178928	+	0.0431970i	−0.00136036	+	0.00328421i	−0.924558	−	0.381041i	$-0.875566\pi$
$173$	−0.0178928	+	0.0431970i	−0.00136036	+	0.00328421i	0.923198	+	0.384325i	$0.125566\pi$
$174$	−1.93662	−	7.02390i	−0.146815	−	0.532481i
$175$	−2.82905	−	2.90244i	−0.213856	−	0.219404i
$176$	−2.33475	−	2.86697i	−0.175988	−	0.216106i
$177$	−2.44595	−	2.44595i	−0.183849	−	0.183849i
$178$	−13.3177	−	7.56106i	−0.998206	−	0.566726i
$179$	−7.55581	−	18.2413i	−0.564748	−	1.36342i	−0.905931	−	0.423425i	$-0.860828\pi$
$179$	−7.55581	−	18.2413i	−0.564748	−	1.36342i	0.341183	−	0.939997i	$-0.389172\pi$
$180$	5.47631	−	0.765962i	0.408180	−	0.0570914i
$181$	22.1793	+	9.18697i	1.64858	+	0.682862i	0.997121	−	0.0758260i	$-0.0241593\pi$
$181$	22.1793	+	9.18697i	1.64858	+	0.682862i	0.651454	+	0.758688i	$0.274159\pi$
$182$	−0.591668	+	4.76002i	−0.0438574	+	0.352836i
$183$			8.28010i			0.612082i
$184$	10.4868	−	10.9521i	0.773094	−	0.807401i
$185$	−1.48016	−	1.49923i	−0.108824	−	0.110226i
$186$	−2.10083	+	16.9013i	−0.154040	+	1.23927i
$187$	5.28590	−	2.18949i	0.386544	−	0.160112i
$188$	1.10607	−	4.38046i	0.0806683	−	0.319478i
$189$	1.74523	+	4.21336i	0.126947	+	0.306477i
$190$	−1.17953	+	2.04694i	−0.0855723	+	0.148501i
$191$		−	10.7326i		−	0.776586i	−0.921536	−	0.388293i	$-0.873065\pi$
$191$		−	10.7326i		−	0.776586i	0.921536	−	0.388293i	$-0.126935\pi$
$192$	−9.98235	−	3.63584i	−0.720414	−	0.262394i
$193$	−13.3767	−	13.3767i	−0.962880	−	0.962880i	0.0364558	−	0.999335i	$-0.488393\pi$
$193$	−13.3767	−	13.3767i	−0.962880	−	0.962880i	−0.999335	+	0.0364558i	$0.988393\pi$
$194$	−3.52249	−	1.99987i	−0.252900	−	0.143582i
$195$	11.4482	+	4.82808i	0.819821	+	0.345746i
$196$	−10.8933	+	6.50118i	−0.778092	+	0.464370i
$197$	−2.93576	−	7.08755i	−0.209164	−	0.504967i	0.784128	−	0.620599i	$-0.213111\pi$
$197$	−2.93576	−	7.08755i	−0.209164	−	0.504967i	−0.993292	+	0.115632i	$0.963111\pi$
$198$	0.993207	+	1.27516i	0.0705841	+	0.0906220i
$199$	15.2564	+	15.2564i	1.08149	+	1.08149i	0.996370	+	0.0851236i	$0.0271285\pi$
$199$	15.2564	+	15.2564i	1.08149	+	1.08149i	0.0851236	+	0.996370i	$0.472871\pi$
$200$	−14.1416	+	0.125855i	−0.999960	+	0.00889927i
$201$	5.75407	−	5.75407i	0.405861	−	0.405861i
$202$	1.08249	+	0.134552i	0.0761634	+	0.00946708i
$203$	2.90546	−	1.20348i	0.203923	−	0.0844677i
$204$	9.81809	−	13.1859i	0.687404	−	0.923198i
$205$	−0.703113	+	1.66719i	−0.0491075	+	0.116442i
$206$	−3.65818	−	13.2678i	−0.254878	−	0.924414i
$207$	−4.68716	+	4.68716i	−0.325780	+	0.325780i
$208$	10.5685	+	12.9776i	0.732791	+	0.899836i
$209$	−0.690558			−0.0477669
$210$	−0.883799	−	3.28744i	−0.0609880	−	0.226855i
$211$	−12.4406	+	5.15308i	−0.856449	+	0.354753i	−0.767318	−	0.641267i	$-0.778409\pi$
$211$	−12.4406	+	5.15308i	−0.856449	+	0.354753i	−0.0891311	+	0.996020i	$0.528409\pi$
$212$	8.03420	+	5.98218i	0.551791	+	0.410858i
$213$	−0.879155	−	2.12247i	−0.0602387	−	0.145429i
$214$	−7.91550	+	6.16527i	−0.541093	+	0.421449i
$215$	−18.3946	+	18.1606i	−1.25450	+	1.23854i
$216$	14.8300	+	5.76901i	1.00905	+	0.392531i
$217$	−7.35124			−0.499035
$218$	−9.60746	−	12.3349i	−0.650699	−	0.835424i
$219$	5.82324	−	14.0585i	0.393498	−	0.949988i
$220$	−2.09571	−	3.56318i	−0.141293	−	0.240229i
$221$	−23.9272	+	9.91096i	−1.60952	+	0.666683i
$222$	−0.470327	−	1.70582i	−0.0315663	−	0.114487i
$223$	−18.6893	+	18.6893i	−1.25153	+	1.25153i	−0.296495	+	0.955035i	$0.595818\pi$
$223$	−18.6893	+	18.6893i	−1.25153	+	1.25153i	−0.955035	+	0.296495i	$0.904182\pi$
$224$	1.02587	−	4.46934i	0.0685439	−	0.298620i
$225$	6.18179	+	0.0791559i	0.412120	+	0.00527706i
$226$	25.2996	+	14.3637i	1.68290	+	0.955459i
$227$	−21.5239	−	8.91547i	−1.42859	−	0.591741i	−0.471586	−	0.881820i	$-0.656318\pi$
$227$	−21.5239	−	8.91547i	−1.42859	−	0.591741i	−0.957003	+	0.290080i	$0.906318\pi$
$228$	−1.70385	+	1.01687i	−0.112840	+	0.0673437i
$229$	9.93553	+	4.11543i	0.656558	+	0.271955i	0.685989	−	0.727612i	$-0.259370\pi$
$229$	9.93553	+	4.11543i	0.656558	+	0.271955i	−0.0294313	+	0.999567i	$0.509370\pi$
$230$	13.4411	−	10.3315i	0.886277	−	0.681237i
$231$	0.703605	−	0.703605i	0.0462938	−	0.0462938i
$232$	3.97820	−	10.2265i	0.261181	−	0.671402i
$233$	−16.9133			−1.10803			−0.554014	−	0.832507i	$-0.686905\pi$
$233$	−16.9133			−1.10803			−0.554014	+	0.832507i	$0.686905\pi$
$234$	−4.49585	−	5.77216i	−0.293903	−	0.377338i
$235$	1.96285	−	4.65425i	0.128042	−	0.303610i
$236$	−0.754642	−	5.15461i	−0.0491230	−	0.335536i
$237$	20.9086	+	8.66061i	1.35816	+	0.562567i
$238$	6.17068	+	3.50337i	0.399986	+	0.227090i
$239$			16.3930i			1.06038i	0.847880	+	0.530189i	$0.177879\pi$
$239$			16.3930i			1.06038i	−0.847880	+	0.530189i	$0.822121\pi$
$240$	−10.4177	−	5.70562i	−0.672462	−	0.368296i
$241$			2.00046i			0.128861i	0.997922	+	0.0644306i	$0.0205231\pi$
$241$			2.00046i			0.128861i	−0.997922	+	0.0644306i	$0.979477\pi$
$242$	−7.08393	+	12.4773i	−0.455373	+	0.802073i
$243$	−10.9778	−	4.54714i	−0.704225	−	0.291699i
$244$	−7.44743	+	10.0021i	−0.476773	+	0.640316i
$245$	−13.1380	+	5.34365i	−0.839356	+	0.341394i
$246$	−1.19893	+	0.933828i	−0.0764409	+	0.0595387i
$247$	3.12588			0.198895
$248$	−17.7394	+	18.5266i	−1.12645	+	1.17644i
$249$	−8.06240	+	8.06240i	−0.510934	+	0.510934i
$250$	−15.6503	−	2.25131i	−0.989811	−	0.142386i
$251$	2.14679	+	0.889229i	0.135504	+	0.0561277i	0.449405	−	0.893328i	$-0.351636\pi$
$251$	2.14679	+	0.889229i	0.135504	+	0.0561277i	−0.313901	+	0.949456i	$0.601636\pi$
$252$	−0.490760	+	1.94360i	−0.0309149	+	0.122435i
$253$	4.57818	+	1.89635i	0.287828	+	0.119222i
$254$	−11.8679	+	20.9035i	−0.744656	+	1.31160i
$255$	13.0796	−	12.9132i	0.819079	−	0.808658i
$256$	−8.78811	−	13.3705i	−0.549257	−	0.835654i
$257$	5.89815	−	5.89815i	0.367916	−	0.367916i	−0.498800	−	0.866717i	$-0.666226\pi$
$257$	5.89815	−	5.89815i	0.367916	−	0.367916i	0.866717	+	0.498800i	$0.166226\pi$
$258$	−20.9293	+	5.77060i	−1.30300	+	0.359262i
$259$	0.705619	−	0.292277i	0.0438450	−	0.0181612i
$260$	9.48642	+	16.1291i	0.588323	+	1.00028i
$261$	−1.83570	+	4.43176i	−0.113627	+	0.274319i
$262$	−12.4989	+	9.73524i	−0.772187	+	0.601445i
$263$	6.25098			0.385452			0.192726	−	0.981253i	$-0.438267\pi$
$263$	6.25098			0.385452			0.192726	+	0.981253i	$0.438267\pi$
$264$	−0.0753467	−	3.47111i	−0.00463727	−	0.213632i
$265$	7.86806	+	7.96945i	0.483331	+	0.489560i
$266$	−0.526273	−	0.675674i	−0.0322678	−	0.0414282i
$267$	−5.50323	−	13.2860i	−0.336792	−	0.813089i
$268$	12.1261	−	1.77528i	0.740722	−	0.108443i
$269$	5.81666	−	2.40934i	0.354648	−	0.146900i	−0.198244	−	0.980153i	$-0.563524\pi$
$269$	5.81666	−	2.40934i	0.354648	−	0.146900i	0.552893	+	0.833252i	$0.313524\pi$
$270$	15.4147	+	8.88258i	0.938108	+	0.540576i
$271$	−15.8408			−0.962258			−0.481129	−	0.876650i	$-0.659773\pi$
$271$	−15.8408			−0.962258			−0.481129	+	0.876650i	$0.659773\pi$
$272$	23.7198	−	7.09734i	1.43822	−	0.430339i
$273$	−3.18494	+	3.18494i	−0.192761	+	0.192761i
$274$	2.33345	−	0.643375i	0.140969	−	0.0388677i
$275$	−1.71384	−	4.29220i	−0.103348	−	0.258830i
$276$	14.0884	−	2.06256i	0.848023	−	0.124152i
$277$	10.0936	−	4.18090i	0.606465	−	0.251206i	−0.0582513	−	0.998302i	$-0.518552\pi$
$277$	10.0936	−	4.18090i	0.606465	−	0.251206i	0.664716	+	0.747096i	$0.268552\pi$
$278$	−0.292303	+	2.35160i	−0.0175312	+	0.141040i
$279$	7.92881	−	7.92881i	0.474685	−	0.474685i
$280$	1.88925	−	4.76603i	0.112904	−	0.284825i
$281$	−4.80986	−	4.80986i	−0.286932	−	0.286932i	0.548934	−	0.835866i	$-0.315034\pi$
$281$	−4.80986	−	4.80986i	−0.286932	−	0.286932i	−0.835866	+	0.548934i	$0.815034\pi$
$282$	3.34700	−	2.60693i	0.199311	−	0.155241i
$283$	−10.0659	−	24.3013i	−0.598358	−	1.44456i	−0.875254	−	0.483663i	$-0.839306\pi$
$283$	−10.0659	−	24.3013i	−0.598358	−	1.44456i	0.276897	−	0.960900i	$-0.410694\pi$
$284$	0.847040	−	3.35461i	0.0502626	−	0.199060i
$285$	−2.05495	+	0.835815i	−0.121725	+	0.0495094i
$286$	−2.70045	+	4.75645i	−0.159681	+	0.281255i
$287$	−0.463821	−	0.463821i	−0.0273785	−	0.0273785i
$288$	3.71401	+	5.92696i	0.218850	+	0.349249i
$289$			21.3126i			1.25368i
$290$	6.12526	−	10.6297i	0.359688	−	0.624197i
$291$	−1.45558	−	3.51409i	−0.0853278	−	0.206000i
$292$	19.6790	−	11.7446i	1.15163	−	0.687299i
$293$	18.0553	−	7.47876i	1.05480	−	0.436914i	0.213199	−	0.977009i	$-0.431612\pi$
$293$	18.0553	−	7.47876i	1.05480	−	0.436914i	0.841604	+	0.540095i	$0.181612\pi$
$294$	−11.8213	−	1.46938i	−0.689433	−	0.0856962i
$295$	0.0372879	−	5.82434i	0.00217098	−	0.339106i
$296$	0.966145	−	2.48360i	0.0561560	−	0.144357i
$297$			5.20031i			0.301753i
$298$	26.0713	+	3.24066i	1.51027	+	0.187726i
$299$	−20.7236	−	8.58399i	−1.19848	−	0.496425i
$300$	−10.5490	−	8.06670i	−0.609049	−	0.465731i
$301$	−3.58604	−	8.65748i	−0.206696	−	0.499009i
$302$	−7.49977	+	13.2098i	−0.431563	+	0.760136i
$303$	0.724293	+	0.724293i	0.0416095	+	0.0416095i
$304$	−2.97280	−	0.304167i	−0.170502	−	0.0174452i
$305$	−9.92146	+	9.79523i	−0.568101	+	0.560873i
$306$	−10.4341	+	2.87688i	−0.596479	+	0.164460i
$307$	12.5558	−	30.3123i	0.716595	−	1.73001i	0.0337730	−	0.999430i	$-0.489248\pi$
$307$	12.5558	−	30.3123i	0.716595	−	1.73001i	0.682822	−	0.730585i	$-0.260752\pi$
$308$	1.48278	−	0.217081i	0.0844891	−	0.0123693i
$309$	4.94570	−	11.9400i	0.281351	−	0.679241i
$310$	−22.7369	+	17.4767i	−1.29137	+	0.992612i
$311$	−9.72842	−	9.72842i	−0.551648	−	0.551648i	0.375268	−	0.926916i	$-0.377551\pi$
$311$	−9.72842	−	9.72842i	−0.551648	−	0.551648i	−0.926916	+	0.375268i	$0.877551\pi$
$312$	0.341064	+	15.7123i	0.0193090	+	0.889536i
$313$		−	12.4426i		−	0.703299i	−0.936132	−	0.351649i	$-0.885621\pi$
$313$		−	12.4426i		−	0.703299i	0.936132	−	0.351649i	$-0.114379\pi$
$314$	20.6509	+	2.56690i	1.16540	+	0.144858i
$315$	−0.870913	+	2.06508i	−0.0490704	+	0.116354i
$316$	17.4671	+	29.2677i	0.982602	+	1.64644i
$317$	8.20943	−	19.8193i	0.461087	−	1.11316i	−0.506864	−	0.862026i	$-0.669195\pi$
$317$	8.20943	−	19.8193i	0.461087	−	1.11316i	0.967951	−	0.251138i	$-0.0808047\pi$
$318$	2.50011	+	9.06762i	0.140199	+	0.508487i
$319$	3.58604			0.200779
$320$	−7.45240	−	16.2623i	−0.416602	−	0.909089i
$321$	−9.42147			−0.525855
$322$	1.63355	+	5.92471i	0.0910342	+	0.330171i
$323$	1.76961	−	4.27221i	0.0984636	−	0.237712i
$324$	3.85566	+	6.46049i	0.214203	+	0.358916i
$325$	7.75786	+	19.4291i	0.430329	+	1.07773i
$326$	7.27567	+	0.904363i	0.402962	+	0.0500880i
$327$		−	14.6817i		−	0.811897i
$328$	−2.28818	+	0.0496691i	−0.126344	+	0.00274252i
$329$	1.29483	+	1.29483i	0.0713865	+	0.0713865i
$330$	0.503464	−	3.84895i	0.0277148	−	0.211878i
$331$	8.99571	−	21.7176i	0.494449	−	1.19371i	−0.457985	−	0.888960i	$-0.651429\pi$
$331$	8.99571	−	21.7176i	0.494449	−	1.19371i	0.952434	−	0.304746i	$-0.0985714\pi$
$332$	−16.9907	+	2.48746i	−0.932487	+	0.136517i
$333$	−0.445817	+	1.07630i	−0.0244306	+	0.0589808i
$334$	−10.3563	+	2.85542i	−0.566672	+	0.156242i
$335$	13.7017	+	0.0877192i	0.748603	+	0.00479261i
$336$	3.33888	−	2.71905i	0.182151	−	0.148336i
$337$	−6.90744	−	6.90744i	−0.376272	−	0.376272i	0.493483	−	0.869755i	$-0.335723\pi$
$337$	−6.90744	−	6.90744i	−0.376272	−	0.376272i	−0.869755	+	0.493483i	$0.835723\pi$
$338$	3.14688	−	5.54278i	0.171168	−	0.301488i
$339$	10.4545	+	25.2393i	0.567808	+	1.37081i
$340$	27.4144	−	3.83440i	1.48675	−	0.207950i
$341$	−7.74446	−	3.20786i	−0.419386	−	0.173715i
$342$	1.29638	+	0.161139i	0.0701002	+	0.00871342i
$343$		−	10.8160i		−	0.584011i
$344$	−30.4722	−	11.8540i	−1.64295	−	0.639123i
$345$	15.9189	+	0.101914i	0.857045	+	0.00548687i
$346$	−0.0656181	−	0.00815630i	−0.00352765	−	0.000438486i
$347$	−6.98669	+	2.89398i	−0.375065	+	0.155357i	−0.562249	−	0.826968i	$-0.690064\pi$
$347$	−6.98669	+	2.89398i	−0.375065	+	0.155357i	0.187184	+	0.982325i	$0.440064\pi$
$348$	8.84801	−	5.28055i	0.474303	−	0.283067i
$349$	1.31230	+	3.16817i	0.0702457	+	0.169588i	0.955103	−	0.296274i	$-0.0957442\pi$
$349$	1.31230	+	3.16817i	0.0702457	+	0.169588i	−0.884857	+	0.465862i	$0.845744\pi$
$350$	2.89358	−	4.94798i	0.154668	−	0.264481i
$351$		−	23.5397i		−	1.25646i
$352$	3.03103	−	4.26075i	0.161555	−	0.227099i
$353$	7.05995	+	7.05995i	0.375763	+	0.375763i	0.869571	−	0.493808i	$-0.164395\pi$
$353$	7.05995	+	7.05995i	0.375763	+	0.375763i	−0.493808	+	0.869571i	$0.664395\pi$
$354$	2.41524	−	4.25410i	0.128369	−	0.226103i
$355$	1.50318	−	3.56428i	0.0797803	−	0.189172i
$356$	5.30220	−	20.9988i	0.281016	−	1.11293i
$357$	2.54989	+	6.15597i	0.134954	+	0.325808i
$358$	22.0290	−	17.1580i	1.16427	−	0.906830i
$359$	6.96604	+	6.96604i	0.367654	+	0.367654i	0.866621	−	0.498967i	$-0.166287\pi$
$359$	6.96604	+	6.96604i	0.367654	+	0.367654i	−0.498967	+	0.866621i	$0.666287\pi$
$360$	3.10280	+	7.17816i	0.163532	+	0.378322i
$361$	13.0404	−	13.0404i	0.686335	−	0.686335i
$362$	−4.18782	+	33.6913i	−0.220107	+	1.77078i
$363$	−12.4476	+	5.15596i	−0.653329	+	0.270618i
$364$	−6.71194	+	0.982637i	−0.351801	+	0.0515042i
$365$	23.7342	−	9.65347i	1.24230	−	0.505285i
$366$	−11.2886	+	3.11247i	−0.590065	+	0.162692i
$367$	−10.5140	+	10.5140i	−0.548826	+	0.548826i	−0.926101	−	0.377275i	$-0.876861\pi$
$367$	−10.5140	+	10.5140i	−0.548826	+	0.548826i	0.377275	+	0.926101i	$0.376861\pi$
$368$	18.8734	+	10.1801i	0.983846	+	0.530677i
$369$	1.00053			0.0520853
$370$	1.48758	−	2.58152i	0.0773356	−	0.134207i
$371$	−3.75084	+	1.55365i	−0.194734	+	0.0806615i
$372$	−23.8320	+	3.48903i	−1.23563	+	0.180898i
$373$	6.16467	+	14.8828i	0.319195	+	0.770604i	0.999297	+	0.0374868i	$0.0119352\pi$
$373$	6.16467	+	14.8828i	0.319195	+	0.770604i	−0.680103	+	0.733117i	$0.738065\pi$
$374$	4.97199	+	6.38347i	0.257095	+	0.330081i
$375$	−10.2951	−	10.6983i	−0.531635	−	0.552459i
$376$	6.38784	−	0.138659i	0.329427	−	0.00715081i
$377$	−16.2325			−0.836018
$378$	−5.08822	+	3.96314i	−0.261710	+	0.203842i
$379$	−4.07716	+	9.84314i	−0.209430	+	0.505608i	−0.993334	−	0.115274i	$-0.963225\pi$
$379$	−4.07716	+	9.84314i	−0.209430	+	0.505608i	0.783904	+	0.620882i	$0.213225\pi$
$380$	−3.23407	−	0.838663i	−0.165904	−	0.0430225i
$381$	−20.8537	+	8.63789i	−1.06837	+	0.442532i
$382$	14.6322	−	4.03438i	0.748651	−	0.206417i
$383$	0.245014	−	0.245014i	0.0125196	−	0.0125196i	−0.700819	−	0.713339i	$-0.747182\pi$
$383$	0.245014	−	0.245014i	0.0125196	−	0.0125196i	0.713339	+	0.700819i	$0.247182\pi$
$384$	1.20454	−	14.9761i	0.0614691	−	0.764243i
$385$	1.67543	+	0.0107263i	0.0853880	+	0.000546661i
$386$	13.2088	−	23.2654i	0.672309	−	1.18418i
$387$	13.2055	+	5.46988i	0.671271	+	0.278050i
$388$	1.40241	−	5.55410i	0.0711967	−	0.281967i
$389$	−9.70866	−	4.02146i	−0.492248	−	0.203896i	0.122730	−	0.992440i	$-0.460835\pi$
$389$	−9.70866	−	4.02146i	−0.492248	−	0.203896i	−0.614978	+	0.788544i	$0.710835\pi$
$390$	−2.27898	+	17.4226i	−0.115401	+	0.882230i
$391$	−23.4639	+	23.4639i	−1.18662	+	1.18662i
$392$	−12.9581	−	12.4075i	−0.654483	−	0.626673i
$393$	−14.8769			−0.750442
$394$	8.55921	−	6.66664i	0.431207	−	0.335860i
$395$	14.3571	+	35.2986i	0.722385	+	1.77607i
$396$	−1.36514	+	1.83341i	−0.0686009	+	0.0921324i
$397$	13.2841	+	5.50244i	0.666708	+	0.276159i	0.690258	−	0.723563i	$-0.257497\pi$
$397$	13.2841	+	5.50244i	0.666708	+	0.276159i	−0.0235503	+	0.999723i	$0.507497\pi$
$398$	−15.0648	+	26.5345i	−0.755129	+	1.33005i
$399$		−	0.804224i		−	0.0402616i
$400$	−5.48738	−	19.2325i	−0.274369	−	0.961625i
$401$			36.3553i			1.81550i	0.419515	+	0.907748i	$0.362200\pi$
$401$			36.3553i			1.81550i	−0.419515	+	0.907748i	$0.637800\pi$
$402$	10.0077	+	5.68182i	0.499139	+	0.283384i
$403$	35.0561	+	14.5207i	1.74627	+	0.723328i
$404$	0.223463	+	1.52638i	0.0111177	+	0.0759400i
$405$	3.16917	+	7.79176i	0.157477	+	0.387176i
$406$	2.73291	+	3.50874i	0.135632	+	0.174136i
$407$	0.870904			0.0431691
$408$	21.6675	+	8.42885i	1.07270	+	0.417290i
$409$	1.73940	−	1.73940i	0.0860076	−	0.0860076i	−0.662794	−	0.748802i	$-0.730630\pi$
$409$	1.73940	−	1.73940i	0.0860076	−	0.0860076i	0.748802	+	0.662794i	$0.230630\pi$
$410$	−2.53725	−	0.331887i	−0.125306	−	0.0163907i
$411$	2.09991	+	0.869813i	0.103581	+	0.0429047i
$412$	16.7135	−	9.97471i	0.823415	−	0.491419i
$413$	1.95076	+	0.808032i	0.0959907	+	0.0397606i
$414$	−8.15209	−	4.62830i	−0.400653	−	0.227469i
$415$	−19.1983	−	0.122909i	−0.942408	−	0.00603337i
$416$	−13.7203	+	19.2867i	−0.672692	+	0.945608i
$417$	−1.57346	+	1.57346i	−0.0770527	+	0.0770527i
$418$	−0.259579	−	0.941466i	−0.0126964	−	0.0460486i
$419$	−30.4757	+	12.6234i	−1.48883	+	0.616695i	−0.971063	−	0.238824i	$-0.923238\pi$
$419$	−30.4757	+	12.6234i	−1.48883	+	0.616695i	−0.517771	+	0.855519i	$0.673238\pi$
$420$	4.14968	−	2.44066i	0.202484	−	0.119092i
$421$	−2.20626	+	5.32637i	−0.107526	+	0.259591i	−0.968480	−	0.249092i	$-0.919868\pi$
$421$	−2.20626	+	5.32637i	−0.107526	+	0.259591i	0.860953	+	0.508684i	$0.169868\pi$
$422$	−11.7018	−	15.0238i	−0.569636	−	0.731347i
$423$	−2.79313			−0.135807
$424$	−5.13572	+	13.2020i	−0.249412	+	0.641148i
$425$	30.9460	+	0.396254i	1.50110	+	0.0192211i
$426$	2.56318	−	1.99642i	0.124186	−	0.0967269i
$427$	−1.93420	−	4.66956i	−0.0936023	−	0.225976i
$428$	−11.3808	−	8.47402i	−0.550111	−	0.409607i
$429$	−4.74511	+	1.96549i	−0.229096	+	0.0948948i
$430$	−31.6736	−	18.2516i	−1.52744	−	0.880171i
$431$	11.5520			0.556441			0.278220	−	0.960517i	$-0.410255\pi$
$431$	11.5520			0.556441			0.278220	+	0.960517i	$0.410255\pi$
$432$	−2.29056	+	22.3869i	−0.110204	+	1.07709i
$433$	−4.86860	+	4.86860i	−0.233970	+	0.233970i	−0.814348	−	0.580378i	$-0.802905\pi$
$433$	−4.86860	+	4.86860i	−0.233970	+	0.233970i	0.580378	+	0.814348i	$0.302905\pi$
$434$	−2.76332	−	10.0223i	−0.132643	−	0.481083i
$435$	10.6713	−	4.34035i	0.511647	−	0.208104i
$436$	13.2052	−	17.7349i	0.632416	−	0.849348i
$437$	3.70021	−	1.53268i	0.177005	−	0.0733179i
$438$	21.3555	+	2.65448i	1.02041	+	0.126836i
$439$	12.4739	−	12.4739i	0.595347	−	0.595347i	−0.343724	−	0.939071i	$-0.611688\pi$
$439$	12.4739	−	12.4739i	0.595347	−	0.595347i	0.939071	+	0.343724i	$0.111688\pi$
$440$	4.07006	−	4.19656i	0.194032	−	0.200063i
$441$	5.54565	+	5.54565i	0.264079	+	0.264079i
$442$	−22.5062	−	28.8954i	−1.07051	−	1.37441i
$443$	−4.22965	−	10.2113i	−0.200957	−	0.485152i	0.790987	−	0.611833i	$-0.209568\pi$
$443$	−4.22965	−	10.2113i	−0.200957	−	0.485152i	−0.991944	+	0.126681i	$0.959568\pi$
$444$	2.14883	−	1.28243i	0.101979	−	0.0608616i
$445$	9.40941	−	22.3113i	0.446049	−	1.05765i
$446$	−32.5052	−	18.4546i	−1.53917	−	0.873853i
$447$	17.4444	+	17.4444i	0.825091	+	0.825091i
$448$	6.47886	−	0.281403i	0.306097	−	0.0132950i
$449$		−	23.5370i		−	1.11078i	−0.831589	−	0.555391i	$-0.812569\pi$
$449$		−	23.5370i		−	1.11078i	0.831589	−	0.555391i	$-0.187431\pi$
$450$	2.21581	+	8.45765i	0.104454	+	0.398698i
$451$	−0.286234	−	0.691030i	−0.0134782	−	0.0325393i
$452$	−10.0726	+	39.8913i	−0.473773	+	1.87633i
$453$	−13.1783	+	5.45862i	−0.619169	+	0.256468i
$454$	4.06406	−	32.6957i	0.190736	−	1.53448i
$455$	−7.58402	−	0.0485535i	−0.355544	−	0.00227622i
$456$	−2.02681	−	1.94069i	−0.0949141	−	0.0908811i
$457$			9.83092i			0.459871i	0.973206	+	0.229936i	$0.0738515\pi$
$457$			9.83092i			0.459871i	−0.973206	+	0.229936i	$0.926148\pi$
$458$	−1.87599	+	15.0925i	−0.0876593	+	0.705226i
$459$	−32.1723	−	13.3262i	−1.50167	−	0.622013i
$460$	19.1378	+	14.4412i	0.892304	+	0.673323i
$461$	−8.56757	−	20.6839i	−0.399031	−	0.963347i	−0.987896	−	0.155116i	$-0.950425\pi$
$461$	−8.56757	−	20.6839i	−0.399031	−	0.963347i	0.588865	−	0.808231i	$-0.299575\pi$
$462$	1.22374	+	0.694770i	0.0569334	+	0.0323236i
$463$	10.2145	+	10.2145i	0.474707	+	0.474707i	0.903434	−	0.428727i	$-0.141038\pi$
$463$	10.2145	+	10.2145i	0.474707	+	0.474707i	−0.428727	+	0.903434i	$0.641038\pi$
$464$	15.4376	+	1.57952i	0.716673	+	0.0733276i
$465$	−26.9285	−	0.172398i	−1.24878	−	0.00799477i
$466$	−6.35769	−	23.0586i	−0.294514	−	1.06817i
$467$	0.547649	−	1.32214i	0.0253422	−	0.0611814i	−0.910702	−	0.413064i	$-0.864458\pi$
$467$	0.547649	−	1.32214i	0.0253422	−	0.0611814i	0.936044	+	0.351883i	$0.114458\pi$
$468$	6.17944	−	8.29912i	0.285645	−	0.383627i
$469$	−1.90088	+	4.58914i	−0.0877746	+	0.211907i
$470$	7.08316	+	0.926518i	0.326722	+	0.0427371i
$471$	13.8176	+	13.8176i	0.636679	+	0.636679i
$472$	6.74383	−	2.96644i	0.310410	−	0.136542i
$473$		−	10.6854i		−	0.491316i
$474$	−3.94788	+	31.7610i	−0.181332	+	1.45883i
$475$	−3.43247	−	1.47354i	−0.157493	−	0.0676108i
$476$	−2.45674	+	9.72965i	−0.112605	+	0.445958i
$477$	2.36982	−	5.72126i	0.108507	−	0.261958i
$478$	−22.3493	+	6.16211i	−1.02223	+	0.281848i
$479$	−31.8238			−1.45407			−0.727033	−	0.686602i	$-0.759101\pi$
$479$	−31.8238			−1.45407			−0.727033	+	0.686602i	$0.759101\pi$
$480$	3.86270	−	16.3477i	0.176307	−	0.746165i
$481$	−3.94223			−0.179750
$482$	−2.72732	+	0.751971i	−0.124226	+	0.0342513i
$483$	−2.20849	+	5.33176i	−0.100490	+	0.242603i
$484$	−19.6737	−	4.96762i	−0.894259	−	0.225801i
$485$	2.48875	−	5.90124i	0.113008	−	0.267961i
$486$	2.07278	−	16.6757i	0.0940234	−	0.756426i
$487$		−	9.67742i		−	0.438526i	−0.975666	−	0.219263i	$-0.929635\pi$
$487$		−	9.67742i		−	0.438526i	0.975666	−	0.219263i	$-0.0703652\pi$
$488$	−16.4357	−	6.39364i	−0.744009	−	0.289426i
$489$	4.86816	+	4.86816i	0.220146	+	0.220146i
$490$	−12.2238	−	15.9029i	−0.552214	−	0.718420i
$491$	−9.42241	+	22.7477i	−0.425227	+	1.02659i	0.555554	+	0.831480i	$0.312506\pi$
$491$	−9.42241	+	22.7477i	−0.425227	+	1.02659i	−0.980781	+	0.195109i	$0.937494\pi$
$492$	−1.72380	−	1.28352i	−0.0777150	−	0.0578658i
$493$	−9.18949	+	22.1854i	−0.413874	+	0.999180i
$494$	1.17501	+	4.26164i	0.0528663	+	0.191740i
$495$	−1.81864	+	1.79550i	−0.0817417	+	0.0807017i
$496$	−31.9264	−	17.2208i	−1.43354	−	0.773235i
$497$	0.991599	+	0.991599i	0.0444793	+	0.0444793i
$498$	−14.0225	−	7.96117i	−0.628361	−	0.356748i
$499$	7.85461	+	18.9627i	0.351621	+	0.848887i	0.996420	+	0.0845356i	$0.0269407\pi$
$499$	7.85461	+	18.9627i	0.351621	+	0.848887i	−0.644800	+	0.764351i	$0.723059\pi$
$500$	−2.81360	−	22.1830i	−0.125828	−	0.992052i
$501$	−9.31983	−	3.86040i	−0.416379	−	0.172470i
$502$	−0.405349	+	3.26107i	−0.0180916	+	0.145549i
$503$		−	20.3583i		−	0.907731i	−0.891070	−	0.453865i	$-0.850045\pi$
$503$		−	20.3583i		−	0.907731i	0.891070	−	0.453865i	$-0.149955\pi$
$504$	−2.83427	+	0.0615228i	−0.126248	+	0.00274044i
$505$	−0.0110416	+	1.72470i	−0.000491346	+	0.0767480i
$506$	−0.864436	+	6.95446i	−0.0384289	+	0.309163i
$507$	5.52957	−	2.29042i	0.245577	−	0.101721i
$508$	−32.9598	−	8.32235i	−1.46235	−	0.369245i
$509$	−1.82470	−	4.40522i	−0.0808785	−	0.195258i	0.878267	−	0.478170i	$-0.158700\pi$
$509$	−1.82470	−	4.40522i	−0.0808785	−	0.195258i	−0.959146	+	0.282912i	$0.908700\pi$
$510$	22.5218	+	12.9780i	0.997280	+	0.574674i
$511$			9.28860i			0.410903i
$512$	14.9251	−	17.0071i	0.659601	−	0.751616i
$513$	2.97199	+	2.97199i	0.131217	+	0.131217i
$514$	10.2583	+	5.82409i	0.452474	+	0.256890i
$515$	20.1575	−	8.19872i	0.888246	−	0.361279i
$516$	−15.7346	−	26.3647i	−0.692677	−	1.16064i
$517$	0.799069	+	1.92912i	0.0351430	+	0.0848427i
$518$	0.663714	+	0.852133i	0.0291619	+	0.0374406i
$519$	−0.0439052	−	0.0439052i	−0.00192722	−	0.00192722i
$520$	−18.4235	+	18.9961i	−0.807924	+	0.833035i
$521$	7.13106	−	7.13106i	0.312417	−	0.312417i	−0.533428	−	0.845845i	$-0.679097\pi$
$521$	7.13106	−	7.13106i	0.312417	−	0.312417i	0.845845	+	0.533428i	$0.179097\pi$
$522$	−6.73205	−	0.836790i	−0.294654	−	0.0366253i
$523$	−13.8899	+	5.75338i	−0.607363	+	0.251578i	−0.665100	−	0.746754i	$-0.731611\pi$
$523$	−13.8899	+	5.75338i	−0.607363	+	0.251578i	0.0577377	+	0.998332i	$0.481611\pi$
$524$	−17.9708	−	13.3809i	−0.785058	−	0.584546i
$525$	4.99871	−	1.99594i	0.218161	−	0.0871099i
$526$	2.34973	+	8.52222i	0.102453	+	0.371586i
$527$	39.6916	−	39.6916i	1.72899	−	1.72899i
$528$	4.70399	−	1.40751i	0.204715	−	0.0612539i
$529$	−5.74014			−0.249571
$530$	−7.90750	+	13.7226i	−0.343480	+	0.596070i
$531$	−2.97554	+	1.23251i	−0.129128	+	0.0534864i
$532$	0.723349	−	0.971474i	0.0313612	−	0.0421187i
$533$	1.29567	+	3.12801i	0.0561215	+	0.135489i
$534$	16.0447	−	12.4970i	0.694321	−	0.540797i
$535$	−11.1455	−	11.2891i	−0.481860	−	0.488070i
$536$	6.97852	+	15.8648i	0.301426	+	0.685253i
$537$	26.2201			1.13148
$538$	5.47123	+	7.02443i	0.235881	+	0.302845i
$539$	2.24368	−	5.41672i	0.0966420	−	0.233315i
$540$	−6.31563	+	24.3544i	−0.271781	+	1.04805i
$541$	16.0301	−	6.63988i	0.689187	−	0.285471i	−0.0104742	−	0.999945i	$-0.503334\pi$
$541$	16.0301	−	6.63988i	0.689187	−	0.285471i	0.699662	+	0.714474i	$0.253334\pi$
$542$	−5.95451	−	21.5964i	−0.255768	−	0.927644i
$543$	−22.5429	+	22.5429i	−0.967410	+	0.967410i
$544$	18.5923	+	29.6703i	0.797139	+	1.27210i
$545$	17.5920	−	17.3682i	0.753558	−	0.743971i
$546$	−5.53937	−	3.14494i	−0.237063	−	0.134591i
$547$	18.2237	+	7.54852i	0.779191	+	0.322751i	0.736589	−	0.676341i	$-0.236435\pi$
$547$	18.2237	+	7.54852i	0.779191	+	0.322751i	0.0426017	+	0.999092i	$0.486435\pi$
$548$	1.75428	+	2.93945i	0.0749391	+	0.125567i
$549$	7.12260	+	2.95028i	0.303985	+	0.125915i
$550$	5.20751	−	3.94998i	0.222049	−	0.168428i
$551$	2.04943	−	2.04943i	0.0873086	−	0.0873086i
$552$	8.10778	+	18.4320i	0.345090	+	0.784518i
$553$	−13.8145			−0.587451
$554$	9.49416	+	12.1894i	0.403368	+	0.517879i
$555$	2.59162	−	1.05410i	0.110008	−	0.0447439i
$556$	−3.31591	+	0.485454i	−0.140626	+	0.0205878i
$557$	−24.1055	−	9.98481i	−1.02138	−	0.423070i	−0.191787	−	0.981437i	$-0.561428\pi$
$557$	−24.1055	−	9.98481i	−1.02138	−	0.423070i	−0.829594	+	0.558367i	$0.811428\pi$
$558$	13.7901	+	7.82925i	0.583781	+	0.331439i
$559$			48.3686i			2.04577i
$560$	7.20789	+	0.784146i	0.304589	+	0.0331362i
$561$			7.59795i			0.320786i
$562$	4.74946	−	8.36550i	0.200344	−	0.352877i
$563$	19.8321	+	8.21473i	0.835824	+	0.346210i	0.759206	−	0.650851i	$-0.225588\pi$
$563$	19.8321	+	8.21473i	0.835824	+	0.346210i	0.0766186	+	0.997060i	$0.475588\pi$
$564$	4.81227	+	3.58317i	0.202633	+	0.150879i
$565$	−17.8750	+	42.3845i	−0.752007	+	1.78313i
$566$	29.3472	−	22.8581i	1.23356	−	0.960799i
$567$	−3.04938			−0.128062
$568$	4.89188	−	0.106187i	0.205259	−	0.00445551i
$569$	14.8979	−	14.8979i	0.624551	−	0.624551i	−0.322141	−	0.946692i	$-0.604403\pi$
$569$	14.8979	−	14.8979i	0.624551	−	0.624551i	0.946692	+	0.322141i	$0.104403\pi$
$570$	−1.91195	−	2.48741i	−0.0800829	−	0.104186i
$571$	6.23047	+	2.58075i	0.260737	+	0.108001i	0.509223	−	0.860635i	$-0.329933\pi$
$571$	6.23047	+	2.58075i	0.260737	+	0.108001i	−0.248486	+	0.968636i	$0.579933\pi$
$572$	−7.49976	−	1.89369i	−0.313581	−	0.0791793i
$573$	13.1678	+	5.45429i	0.550094	+	0.227856i
$574$	0.457997	−	0.806697i	0.0191164	−	0.0336709i
$575$	18.7097	+	19.1951i	0.780249	+	0.800489i
$576$	−6.68438	+	7.29140i	−0.278516	+	0.303808i
$577$	−18.1617	+	18.1617i	−0.756080	+	0.756080i	−0.975607	−	0.219526i	$-0.929549\pi$
$577$	−18.1617	+	18.1617i	−0.756080	+	0.756080i	0.219526	+	0.975607i	$0.429549\pi$
$578$	−29.0563	+	8.01135i	−1.20858	+	0.333228i
$579$	23.2099	−	9.61386i	0.964571	−	0.399538i
$580$	16.7944	+	4.35514i	0.697348	+	0.180837i
$581$	2.66345	−	6.43014i	0.110498	−	0.266767i
$582$	4.24375	−	3.30540i	0.175909	−	0.137013i
$583$	−4.62945			−0.191732
$584$	23.4092	+	22.4145i	0.968679	+	0.927519i
$585$	8.23224	−	8.12751i	0.340361	−	0.336031i
$586$	16.9831	+	21.8043i	0.701564	+	0.900728i
$587$	9.43980	+	22.7897i	0.389622	+	0.940631i	0.990020	+	0.140929i	$0.0450090\pi$
$587$	9.43980	+	22.7897i	0.389622	+	0.940631i	−0.600398	+	0.799702i	$0.704991\pi$
$588$	−2.44034	−	16.6688i	−0.100638	−	0.687411i
$589$	−6.25928	+	2.59268i	−0.257909	+	0.106830i
$590$	7.95458	−	2.13852i	0.327485	−	0.0880416i
$591$	10.1876			0.419063
$592$	3.74917	+	0.383603i	0.154090	+	0.0157660i
$593$	6.73738	−	6.73738i	0.276671	−	0.276671i	−0.555107	−	0.831779i	$-0.687323\pi$
$593$	6.73738	−	6.73738i	0.276671	−	0.276671i	0.831779	+	0.555107i	$0.187323\pi$
$594$	−7.08980	+	1.95479i	−0.290898	+	0.0802059i
$595$	−4.35979	+	10.3378i	−0.178734	+	0.423807i
$596$	5.38205	+	36.7623i	0.220457	+	1.50584i
$597$	−26.4712	+	10.9647i	−1.08339	+	0.448757i
$598$	3.91295	−	31.4800i	0.160013	−	1.28731i
$599$	17.9363	−	17.9363i	0.732856	−	0.732856i	−0.238328	−	0.971185i	$-0.576599\pi$
$599$	17.9363	−	17.9363i	0.732856	−	0.732856i	0.971185	+	0.238328i	$0.0765994\pi$
$600$	7.03230	−	17.4142i	0.287092	−	0.710932i
$601$	−29.0033	−	29.0033i	−1.18307	−	1.18307i	−0.978945	−	0.204126i	$-0.934565\pi$
$601$	−29.0033	−	29.0033i	−1.18307	−	1.18307i	−0.204126	−	0.978945i	$-0.565435\pi$
$602$	10.4551	−	8.14333i	0.426119	−	0.331897i
$603$	−2.89946	−	6.99992i	−0.118075	−	0.285059i
$604$	−20.8286	−	5.25922i	−0.847502	−	0.213995i
$605$	−20.9033	−	8.81565i	−0.849841	−	0.358407i
$606$	−0.715198	+	1.25972i	−0.0290529	+	0.0511726i
$607$	−9.76508	−	9.76508i	−0.396352	−	0.396352i	0.480592	−	0.876944i	$-0.340422\pi$
$607$	−9.76508	−	9.76508i	−0.396352	−	0.396352i	−0.876944	+	0.480592i	$0.840422\pi$
$608$	−0.702786	−	4.16727i	−0.0285017	−	0.169005i
$609$			4.17630i			0.169232i
$610$	−17.0837	−	9.84433i	−0.691699	−	0.398585i
$611$	−3.61706	−	8.73236i	−0.146331	−	0.353274i
$612$	−7.84433	−	13.1438i	−0.317088	−	0.531309i
$613$	5.06707	−	2.09885i	0.204657	−	0.0847717i	−0.278000	−	0.960581i	$-0.589672\pi$
$613$	5.06707	−	2.09885i	0.204657	−	0.0847717i	0.482657	+	0.875809i	$0.339672\pi$
$614$	46.0457	+	5.72346i	1.85825	+	0.230980i
$615$	−1.68816	−	1.70991i	−0.0680730	−	0.0689502i
$616$	0.853329	+	1.93993i	0.0343816	+	0.0781621i
$617$			27.5407i			1.10875i	0.832268	+	0.554374i	$0.187042\pi$
$617$			27.5407i			1.10875i	−0.832268	+	0.554374i	$0.812958\pi$
$618$	18.1373	+	2.25446i	0.729591	+	0.0906878i
$619$	18.0221	+	7.46500i	0.724370	+	0.300044i	0.714236	−	0.699905i	$-0.246774\pi$
$619$	18.0221	+	7.46500i	0.724370	+	0.300044i	0.0101336	+	0.999949i	$0.496774\pi$
$620$	−32.3735	−	24.4287i	−1.30015	−	0.981081i
$621$	−11.5420	−	27.8648i	−0.463163	−	1.11817i
$622$	9.60627	−	16.9201i	0.385176	−	0.678433i
$623$	6.20710	+	6.20710i	0.248682	+	0.248682i
$624$	−21.2931	+	6.37122i	−0.852405	+	0.255053i
$625$	0.640129	−	24.9918i	0.0256052	−	0.999672i
$626$	16.9636	−	4.67716i	0.678000	−	0.186937i
$627$	0.350939	−	0.847243i	0.0140152	−	0.0338356i
$628$	4.26308	+	29.1191i	0.170115	+	1.16198i
$629$	−2.23176	+	5.38794i	−0.0889861	+	0.214831i
$630$	−3.14278	−	0.411094i	−0.125211	−	0.0163784i
$631$	25.8413	+	25.8413i	1.02873	+	1.02873i	0.999575	+	0.0291526i	$0.00928088\pi$
$631$	25.8413	+	25.8413i	1.02873	+	1.02873i	0.0291526	+	0.999575i	$0.490719\pi$
$632$	−33.3360	+	34.8153i	−1.32603	+	1.38488i
$633$		−	17.8822i		−	0.710752i
$634$	30.1064	+	3.74221i	1.19568	+	0.148622i
$635$	−35.0198	−	14.7690i	−1.38972	−	0.586091i
$636$	−11.4225	+	6.81700i	−0.452931	+	0.270312i
$637$	−10.1562	+	24.5193i	−0.402404	+	0.971490i
$638$	1.34798	+	4.88899i	0.0533672	+	0.193557i
$639$	−2.13901			−0.0846180
$640$	19.3697	−	16.2731i	0.765655	−	0.643252i
$641$	10.5781			0.417809			0.208904	−	0.977936i	$-0.433010\pi$
$641$	10.5781			0.417809			0.208904	+	0.977936i	$0.433010\pi$
$642$	−3.54151	−	12.8447i	−0.139772	−	0.506939i
$643$	15.6451	−	37.7706i	0.616982	−	1.48953i	−0.238210	−	0.971214i	$-0.576561\pi$
$643$	15.6451	−	37.7706i	0.616982	−	1.48953i	0.855192	−	0.518312i	$-0.173439\pi$
$644$	−7.46335	+	4.45417i	−0.294097	+	0.175519i
$645$	−12.9331	−	31.7975i	−0.509239	−	1.25202i
$646$	6.48967	+	0.806663i	0.255333	+	0.0317377i
$647$			2.74049i			0.107740i	0.998548	+	0.0538699i	$0.0171556\pi$
$647$			2.74049i			0.107740i	−0.998548	+	0.0538699i	$0.982844\pi$
$648$	−7.35852	+	7.68507i	−0.289070	+	0.301898i
$649$	1.70251	+	1.70251i	0.0668293	+	0.0668293i
$650$	−23.5723	+	17.8800i	−0.924582	+	0.701310i
$651$	3.73588	−	9.01921i	0.146421	−	0.353491i
$652$	1.50196	+	10.2592i	0.0588212	+	0.401780i
$653$	−7.49175	+	18.0867i	−0.293175	+	0.707787i	0.706825	+	0.707388i	$0.250127\pi$
$653$	−7.49175	+	18.0867i	−0.293175	+	0.707787i	−1.00000		0.000398301i	$0.999873\pi$
$654$	20.0161	−	5.51881i	0.782692	−	0.215802i
$655$	−17.5992	−	17.8260i	−0.687657	−	0.696518i
$656$	−0.927840	−	3.10090i	−0.0362261	−	0.121070i
$657$	−10.0184	−	10.0184i	−0.390854	−	0.390854i
$658$	−1.27857	+	2.25203i	−0.0498440	+	0.0877931i
$659$	12.5791	+	30.3686i	0.490012	+	1.18299i	0.954714	+	0.297526i	$0.0961615\pi$
$659$	12.5791	+	30.3686i	0.490012	+	1.18299i	−0.464702	+	0.885467i	$0.653839\pi$
$660$	5.43668	−	0.760419i	0.211623	−	0.0295993i
$661$	23.3971	+	9.69138i	0.910041	+	0.376951i	0.788072	−	0.615583i	$-0.211079\pi$
$661$	23.3971	+	9.69138i	0.910041	+	0.376951i	0.121968	+	0.992534i	$0.461079\pi$
$662$	32.9899	+	4.10063i	1.28219	+	0.159376i
$663$		−	34.3929i		−	1.33571i
$664$	−9.77805	−	22.2291i	−0.379462	−	0.862657i
$665$	0.963645	−	0.951385i	0.0373686	−	0.0368931i
$666$	−1.63494	−	0.203223i	−0.0633528	−	0.00787472i
$667$	−19.2150	+	7.95912i	−0.744009	+	0.308179i
$668$	−7.78583	−	13.0458i	−0.301243	−	0.504758i
$669$	−13.4320	−	32.4277i	−0.519311	−	1.25373i
$670$	5.03085	+	18.7131i	0.194359	+	0.722948i
$671$		−	5.76337i		−	0.222492i
$672$	4.96207	+	3.52994i	0.191416	+	0.136171i
$673$	−20.6746	−	20.6746i	−0.796946	−	0.796946i	0.185667	−	0.982613i	$-0.440555\pi$
$673$	−20.6746	−	20.6746i	−0.796946	−	0.796946i	−0.982613	+	0.185667i	$0.940555\pi$
$674$	6.82070	−	12.0137i	0.262724	−	0.462750i
$675$	−11.0967	+	25.8485i	−0.427110	+	0.994911i
$676$	8.73961	+	2.20675i	0.336139	+	0.0848752i
$677$	−14.3606	−	34.6696i	−0.551924	−	1.33246i	−0.916032	−	0.401106i	$-0.868626\pi$
$677$	−14.3606	−	34.6696i	−0.551924	−	1.33246i	0.364107	−	0.931357i	$-0.381374\pi$
$678$	−30.4800	+	23.7404i	−1.17058	+	0.911744i
$679$	1.64175	+	1.64175i	0.0630047	+	0.0630047i
$680$	15.5326	+	35.9338i	0.595649	+	1.37800i
$681$	21.8767	−	21.8767i	0.838318	−	0.838318i
$682$	1.46228	−	11.7642i	0.0559937	−	0.450474i
$683$	−17.9359	+	7.42928i	−0.686297	+	0.284274i	−0.698457	−	0.715652i	$-0.746129\pi$
$683$	−17.9359	+	7.42928i	−0.686297	+	0.284274i	0.0121593	+	0.999926i	$0.496129\pi$
$684$	0.267619	+	1.82798i	0.0102327	+	0.0698946i
$685$	1.44193	+	3.54515i	0.0550934	+	0.135453i
$686$	14.7459	−	4.06573i	0.563003	−	0.155230i
$687$	−10.0984	+	10.0984i	−0.385279	+	0.385279i
$688$	4.70655	−	45.9999i	0.179436	−	1.75373i
$689$	20.9557			0.798347
$690$	5.84494	+	21.7412i	0.222513	+	0.827674i
$691$	−10.7885	+	4.46873i	−0.410413	+	0.169999i	−0.578331	−	0.815802i	$-0.696296\pi$
$691$	−10.7885	+	4.46873i	−0.410413	+	0.169999i	0.167918	+	0.985801i	$0.446296\pi$
$692$	−0.0135459	−	0.0925259i	−0.000514938	−	0.00351731i
$693$	−0.354545	−	0.855947i	−0.0134680	−	0.0325147i
$694$	−6.57177	−	8.43740i	−0.249461	−	0.320279i
$695$	−3.74675	−	0.0239870i	−0.142122	−	0.000909877i
$696$	10.5251	+	10.0779i	0.398954	+	0.382002i
$697$	5.00863			0.189715
$698$	−3.82601	+	2.98002i	−0.144816	+	0.112795i
$699$	8.59530	−	20.7509i	0.325104	−	0.784871i
$700$	7.83348	+	2.08500i	0.296078	+	0.0788057i
$701$	−47.2867	+	19.5868i	−1.78599	+	0.739782i	−0.794879	+	0.606769i	$0.792465\pi$
$701$	−47.2867	+	19.5868i	−1.78599	+	0.739782i	−0.991114	+	0.133014i	$0.957535\pi$
$702$	32.0927	−	8.84853i	1.21126	−	0.333966i
$703$	0.497724	−	0.497724i	0.0187720	−	0.0187720i
$704$	6.94822	+	2.53073i	0.261871	+	0.0953803i
$705$	4.71276	+	4.77349i	0.177493	+	0.179780i
$706$	−6.97130	+	12.2790i	−0.262369	+	0.462124i
$707$	−0.577657	−	0.239273i	−0.0217250	−	0.00899879i
$708$	6.70768	+	1.69369i	0.252090	+	0.0636528i
$709$	0.906566	+	0.375512i	0.0340468	+	0.0141027i	0.399642	−	0.916671i	$-0.369134\pi$
$709$	0.906566	+	0.375512i	0.0340468	+	0.0141027i	−0.365595	+	0.930774i	$0.619134\pi$
$710$	5.42437	+	0.709538i	0.203573	+	0.0266285i
$711$	14.8998	−	14.8998i	0.558788	−	0.558788i
$712$	30.6216	−	0.664697i	1.14759	−	0.0249106i
$713$	48.6169			1.82072
$714$	−7.43419	+	5.79038i	−0.278218	+	0.216700i
$715$	−7.96851	−	3.36059i	−0.298005	−	0.125679i
$716$	31.6729	+	23.5833i	1.18367	+	0.881350i
$717$	−20.1126	−	8.33090i	−0.751117	−	0.311123i
$718$	−6.87857	+	12.1156i	−0.256706	+	0.452151i
$719$		−	42.1446i		−	1.57173i	−0.618399	−	0.785864i	$-0.712218\pi$
$719$		−	42.1446i		−	1.57173i	0.618399	−	0.785864i	$-0.287782\pi$
$720$	−8.61995	+	6.92844i	−0.321246	+	0.258208i
$721$			7.88884i			0.293796i
$722$	22.6803	+	12.8766i	0.844075	+	0.479219i
$723$	−2.45436	−	1.01663i	−0.0912787	−	0.0378089i
$724$	−47.5070	+	6.95509i	−1.76558	+	0.258484i
$725$	17.8247	+	7.65204i	0.661991	+	0.284190i
$726$	−11.7084	−	15.0322i	−0.434538	−	0.557897i
$727$	17.3527			0.643576			0.321788	−	0.946812i	$-0.395716\pi$
$727$	17.3527			0.643576			0.321788	+	0.946812i	$0.395716\pi$
$728$	−3.86268	−	8.78130i	−0.143160	−	0.325457i
$729$	19.1377	−	19.1377i	0.708804	−	0.708804i
$730$	22.0826	+	28.7291i	0.817314	+	1.06331i
$731$	66.1065	+	27.3822i	2.44504	+	1.01277i
$732$	−8.48673	−	14.2202i	−0.313679	−	0.525596i
$733$	−4.04772	−	1.67662i	−0.149506	−	0.0619273i	0.306676	−	0.951814i	$-0.400783\pi$
$733$	−4.04772	−	1.67662i	−0.149506	−	0.0619273i	−0.456182	+	0.889887i	$0.650783\pi$
$734$	−18.2864	−	10.3820i	−0.674962	−	0.383206i
$735$	0.120580	−	18.8346i	0.00444768	−	0.694724i
$736$	−6.78453	+	29.5576i	−0.250081	+	1.08951i
$737$	−4.00513	+	4.00513i	−0.147531	+	0.147531i
$738$	0.376096	+	1.36406i	0.0138443	+	0.0502117i
$739$	−27.4135	+	11.3551i	−1.00842	+	0.417703i	−0.824879	−	0.565309i	$-0.808757\pi$
$739$	−27.4135	+	11.3551i	−1.00842	+	0.417703i	−0.183544	+	0.983011i	$0.558757\pi$
$740$	4.07868	+	1.05769i	0.149935	+	0.0388814i
$741$	−1.58856	+	3.83513i	−0.0583573	+	0.140887i
$742$	−3.52809	−	4.52967i	−0.129520	−	0.166289i
$743$	23.9173			0.877440			0.438720	−	0.898624i	$-0.355432\pi$
$743$	23.9173			0.877440			0.438720	+	0.898624i	$0.355432\pi$
$744$	−13.7151	−	31.1796i	−0.502822	−	1.14310i
$745$	−0.265935	+	41.5388i	−0.00974309	+	1.52186i
$746$	−17.9731	+	13.9990i	−0.658042	+	0.512539i
$747$	4.06262	+	9.80804i	0.148644	+	0.358858i
$748$	−6.83389	+	9.17805i	−0.249872	+	0.335583i
$749$	5.31324	−	2.20081i	0.194141	−	0.0804160i
$750$	10.7156	−	18.0572i	0.391277	−	0.659355i
$751$	−22.5603			−0.823236			−0.411618	−	0.911357i	$-0.635036\pi$
$751$	−22.5603			−0.823236			−0.411618	+	0.911357i	$0.635036\pi$
$752$	2.59022	+	8.65668i	0.0944555	+	0.315677i
$753$	−2.18198	+	2.18198i	−0.0795159	+	0.0795159i
$754$	−6.10178	−	22.1305i	−0.222214	−	0.805945i
$755$	−22.1304	−	9.33313i	−0.805407	−	0.339667i
$756$	−7.31577	−	5.44725i	−0.266072	−	0.198115i
$757$	−22.2487	+	9.21573i	−0.808644	+	0.334951i	−0.748413	−	0.663233i	$-0.769184\pi$
$757$	−22.2487	+	9.21573i	−0.808644	+	0.334951i	−0.0602313	+	0.998184i	$0.519184\pi$
$758$	−14.9522	−	1.85855i	−0.543087	−	0.0675054i
$759$	−4.65324	+	4.65324i	−0.168902	+	0.168902i
$760$	−0.0722953	−	4.72439i	−0.00262243	−	0.171372i
$761$	−8.29763	−	8.29763i	−0.300789	−	0.300789i	0.540534	−	0.841322i	$-0.318222\pi$
$761$	−8.29763	−	8.29763i	−0.300789	−	0.300789i	−0.841322	+	0.540534i	$0.818222\pi$
$762$	−19.6153	−	25.1838i	−0.710586	−	0.912311i
$763$	3.42957	+	8.27972i	0.124159	+	0.299746i
$764$	11.0005	+	18.4322i	0.397983	+	0.666855i
$765$	−6.44765	−	15.8523i	−0.233115	−	0.573141i
$766$	0.426137	+	0.241937i	0.0153970	+	0.00874154i
$767$	−7.70657	−	7.70657i	−0.278268	−	0.278268i
$768$	20.8703	−	3.98727i	0.753091	−	0.143878i
$769$		−	22.7180i		−	0.819233i	−0.912258	−	0.409616i	$-0.865663\pi$
$769$		−	22.7180i		−	0.819233i	0.912258	−	0.409616i	$-0.134337\pi$
$770$	0.615169	+	2.28822i	0.0221692	+	0.0824618i
$771$	4.23900	+	10.2338i	0.152664	+	0.368563i
$772$	36.6838	+	9.26267i	1.32028	+	0.333371i
$773$	4.69925	−	1.94650i	0.169020	−	0.0700106i	−0.296569	−	0.955011i	$-0.595842\pi$
$773$	4.69925	−	1.94650i	0.169020	−	0.0700106i	0.465589	+	0.885001i	$0.345842\pi$
$774$	−2.49341	+	20.0597i	−0.0896237	+	0.721030i
$775$	−31.6494	−	32.4704i	−1.13688	−	1.16637i
$776$	8.09930	−	0.175810i	0.290748	−	0.00631120i
$777$			1.01426i			0.0363862i
$778$	1.83315	−	14.7479i	0.0657217	−	0.528737i
$779$	−0.558509	−	0.231342i	−0.0200106	−	0.00828868i
$780$	−24.6097	+	3.44211i	−0.881168	+	0.123247i
$781$	0.611936	+	1.47735i	0.0218968	+	0.0528636i
$782$	−40.8093	−	23.1693i	−1.45934	−	0.828531i
$783$	−15.4334	−	15.4334i	−0.551545	−	0.551545i
$784$	12.0447	−	22.3303i	0.430169	−	0.797510i
$785$	−0.210645	+	32.9025i	−0.00751823	+	1.17434i
$786$	−5.59221	−	20.2823i	−0.199468	−	0.723447i
$787$	−12.3552	+	29.8282i	−0.440417	+	1.06326i	0.535386	+	0.844608i	$0.320166\pi$
$787$	−12.3552	+	29.8282i	−0.440417	+	1.06326i	−0.975803	+	0.218653i	$0.929834\pi$
$788$	12.3063	+	9.16314i	0.438394	+	0.326423i
$789$	−3.17673	+	7.66930i	−0.113095	+	0.273034i
$790$	−42.7273	+	32.8424i	−1.52017	+	1.16848i
$791$	−11.7916	−	11.7916i	−0.419260	−	0.419260i
$792$	−3.01272	−	1.17198i	−0.107052	−	0.0416444i
$793$			26.0884i			0.926428i
$794$	−2.50825	+	20.1791i	−0.0890144	+	0.716128i
$795$	−13.7762	+	5.60324i	−0.488592	+	0.198727i
$796$	−41.8384	−	10.5642i	−1.48292	−	0.374438i
$797$	−5.98915	+	14.4591i	−0.212147	+	0.512167i	−0.993753	−	0.111605i	$-0.964401\pi$
$797$	−5.98915	+	14.4591i	−0.212147	+	0.512167i	0.781606	+	0.623772i	$0.214401\pi$
$798$	1.09643	−	0.302306i	0.0388133	−	0.0107015i
$799$	−13.9824			−0.494662
$800$	24.1578	−	14.7106i	0.854106	−	0.520099i
$801$	−13.3895			−0.473096
$802$	−49.5647	+	13.6659i	−1.75019	+	0.482559i
$803$	−4.05327	+	9.78546i	−0.143037	+	0.345321i
$804$	−3.98438	+	15.7797i	−0.140518	+	0.556508i
$805$	−9.00127	+	3.66111i	−0.317253	+	0.129037i
$806$	−6.61916	+	53.2517i	−0.233150	+	1.87571i
$807$			8.36087i			0.294316i
$808$	−1.99697	+	0.878419i	−0.0702532	+	0.0309027i
$809$	−36.9823	−	36.9823i	−1.30023	−	1.30023i	−0.928236	−	0.371991i	$-0.878675\pi$
$809$	−36.9823	−	36.9823i	−1.30023	−	1.30023i	−0.371991	−	0.928236i	$-0.621325\pi$
$810$	−9.43155	+	7.24956i	−0.331391	+	0.254724i
$811$	16.7840	−	40.5201i	0.589365	−	1.42285i	−0.294745	−	0.955576i	$-0.595235\pi$
$811$	16.7840	−	40.5201i	0.589365	−	1.42285i	0.884111	−	0.467278i	$-0.154765\pi$
$812$	−3.75632	+	5.04482i	−0.131821	+	0.177038i
$813$	8.05023	−	19.4350i	0.282334	−	0.681614i
$814$	0.327371	+	1.18734i	0.0114744	+	0.0416162i
$815$	−0.0742138	+	11.5921i	−0.00259960	+	0.406055i
$816$	−3.34663	+	32.7086i	−0.117156	+	1.14503i
$817$	−6.10674	−	6.10674i	−0.213648	−	0.213648i
$818$	3.02523	+	1.71756i	0.105775	+	0.0600529i
$819$	1.60488	+	3.87453i	0.0560791	+	0.135387i
$820$	−0.501273	−	3.58390i	−0.0175052	−	0.125155i
$821$	41.4829	+	17.1828i	1.44776	+	0.599682i	0.961666	−	0.274223i	$-0.0884207\pi$
$821$	41.4829	+	17.1828i	1.44776	+	0.599682i	0.486095	+	0.873906i	$0.338421\pi$
$822$	−0.396498	+	3.18986i	−0.0138295	+	0.111259i
$823$			5.15995i			0.179865i	0.995948	+	0.0899323i	$0.0286651\pi$
$823$			5.15995i			0.179865i	−0.995948	+	0.0899323i	$0.971335\pi$
$824$	19.8815	+	19.0367i	0.692605	+	0.663176i
$825$	6.13706	+	0.0785831i	0.213665	+	0.00273591i
$826$	−0.368336	+	2.96329i	−0.0128160	+	0.103106i
$827$	−4.47653	+	1.85424i	−0.155664	+	0.0644782i	−0.459155	−	0.888356i	$-0.651848\pi$
$827$	−4.47653	+	1.85424i	−0.155664	+	0.0644782i	0.303491	+	0.952834i	$0.401848\pi$
$828$	3.24560	−	12.8539i	0.112792	−	0.446702i
$829$	−7.40324	−	17.8730i	−0.257125	−	0.620755i	0.741621	−	0.670819i	$-0.234057\pi$
$829$	−7.40324	−	17.8730i	−0.257125	−	0.620755i	−0.998746	+	0.0500640i	$0.984057\pi$
$830$	−7.04904	−	26.2201i	−0.244676	−	0.910111i
$831$			14.5085i			0.503295i
$832$	−31.4518	−	11.4556i	−1.09039	−	0.397151i
$833$	27.7615	+	27.7615i	0.961879	+	0.961879i
$834$	−2.73662	−	1.55370i	−0.0947616	−	0.0538003i
$835$	−6.39957	−	15.7341i	−0.221466	−	0.544501i
$836$	1.18596	−	0.707791i	0.0410174	−	0.0244795i
$837$	19.5244	+	47.1361i	0.674863	+	1.62926i
$838$	−28.6658	−	36.8036i	−0.990244	−	1.27136i
$839$	−11.2001	−	11.2001i	−0.386669	−	0.386669i	0.486828	−	0.873498i	$-0.338154\pi$
$839$	−11.2001	−	11.2001i	−0.386669	−	0.386669i	−0.873498	+	0.486828i	$0.838154\pi$
$840$	4.88731	+	4.73999i	0.168628	+	0.163545i
$841$	9.86351	−	9.86351i	0.340121	−	0.340121i
$842$	−8.09099	−	1.00571i	−0.278834	−	0.0346589i
$843$	8.34556	−	3.45684i	0.287436	−	0.119060i
$844$	16.0839	−	21.6010i	0.553630	−	0.743537i
$845$	9.28585	+	3.91616i	0.319443	+	0.134720i
$846$	−1.04993	−	3.80799i	−0.0360974	−	0.130921i
$847$	5.81541	−	5.81541i	0.199820	−	0.199820i
$848$	−19.9294	−	2.03911i	−0.684379	−	0.0700234i
$849$	34.9307			1.19882
$850$	11.0923	+	42.3390i	0.380464	+	1.45221i
$851$	−4.66656	+	1.93295i	−0.159968	+	0.0662607i
$852$	3.68530	+	2.74403i	0.126256	+	0.0940091i
$853$	−0.819862	−	1.97932i	−0.0280715	−	0.0677707i	0.909222	−	0.416311i	$-0.136677\pi$
$853$	−0.819862	−	1.97932i	−0.0280715	−	0.0677707i	−0.937294	+	0.348541i	$0.886677\pi$
$854$	5.63915	−	4.39225i	0.192968	−	0.150300i
$855$	−0.0132234	+	2.06549i	−0.000452231	+	0.0706382i
$856$	7.27497	−	18.7013i	0.248653	−	0.639197i
$857$	−15.5286			−0.530448			−0.265224	−	0.964187i	$-0.585446\pi$
$857$	−15.5286			−0.530448			−0.265224	+	0.964187i	$0.585446\pi$
$858$	−4.46331	−	5.73039i	−0.152375	−	0.195632i
$859$	−14.0088	+	33.8203i	−0.477974	+	1.15393i	0.482583	+	0.875850i	$0.339699\pi$
$859$	−14.0088	+	33.8203i	−0.477974	+	1.15393i	−0.960557	+	0.278082i	$0.910301\pi$
$860$	12.9771	−	50.0427i	0.442517	−	1.70644i
$861$	0.804774	−	0.333348i	0.0274266	−	0.0113605i
$862$	4.34238	+	15.7493i	0.147902	+	0.536425i
$863$	−13.2837	+	13.2837i	−0.452182	+	0.452182i	−0.896078	−	0.443896i	$-0.853596\pi$
$863$	−13.2837	+	13.2837i	−0.452182	+	0.452182i	0.443896	+	0.896078i	$0.353596\pi$
$864$	−31.3820	+	5.29239i	−1.06764	+	0.180051i
$865$	0.000669322	−	0.104548i	2.27576e−5	−	0.00355473i
$866$	−8.46766	−	4.80747i	−0.287743	−	0.163364i
$867$	−26.1483	−	10.8310i	−0.888043	−	0.367840i
$868$	12.6250	−	7.53469i	0.428521	−	0.255744i
$869$	−14.5534	−	6.02822i	−0.493691	−	0.204494i
$870$	9.92868	+	12.9170i	0.336614	+	0.437928i
$871$	18.1296	−	18.1296i	0.614298	−	0.614298i
$872$	29.1426	+	11.3367i	0.986892	+	0.383910i
$873$	−3.54148			−0.119861
$874$	3.48046	+	4.46852i	0.117728	+	0.151150i
$875$	8.30499	+	3.62843i	0.280760	+	0.122663i
$876$	4.40854	+	30.1127i	0.148951	+	1.01741i
$877$	2.83052	+	1.17244i	0.0955799	+	0.0395905i	0.429961	−	0.902847i	$-0.358527\pi$
$877$	2.83052	+	1.17244i	0.0955799	+	0.0395905i	−0.334381	+	0.942438i	$0.608527\pi$
$878$	21.6951	+	12.3173i	0.732175	+	0.415688i
$879$			25.9527i			0.875362i
$880$	7.25127	+	3.97140i	0.244440	+	0.133876i
$881$			32.6206i			1.09902i	0.835488	+	0.549508i	$0.185185\pi$
$881$			32.6206i			1.09902i	−0.835488	+	0.549508i	$0.814815\pi$
$882$	−5.47602	+	9.64522i	−0.184387	+	0.324771i
$883$	14.0310	+	5.81184i	0.472181	+	0.195584i	0.606068	−	0.795413i	$-0.292746\pi$
$883$	14.0310	+	5.81184i	0.472181	+	0.195584i	−0.133887	+	0.990997i	$0.542746\pi$
$884$	30.9343	−	41.5454i	1.04043	−	1.39732i
$885$	7.12692	+	3.00566i	0.239569	+	0.101034i
$886$	12.3315	−	9.60485i	0.414286	−	0.322681i
$887$	−26.0808			−0.875708			−0.437854	−	0.899046i	$-0.644261\pi$
$887$	−26.0808			−0.875708			−0.437854	+	0.899046i	$0.644261\pi$
$888$	2.55613	+	2.44752i	0.0857782	+	0.0821334i
$889$	9.74267	−	9.74267i	0.326759	−	0.326759i
$890$	33.9548	+	4.44149i	1.13817	+	0.148879i
$891$	−3.21250	−	1.33066i	−0.107623	−	0.0445788i
$892$	12.9413	−	51.2528i	0.433308	−	1.71607i
$893$	1.55917	+	0.645829i	0.0521756	+	0.0216118i
$894$	−17.2253	+	30.3400i	−0.576101	+	1.01472i
$895$	31.0180	+	31.4177i	1.03682	+	1.05018i
$896$	2.81904	+	8.72712i	0.0941775	+	0.291553i
$897$	21.0633	−	21.0633i	0.703285	−	0.703285i
$898$	32.0890	−	8.84753i	1.07082	−	0.295246i
$899$	32.5042	−	13.4637i	1.08408	−	0.449039i
$900$	−10.6978	+	6.20012i	−0.356592	+	0.206671i
$901$	11.8633	−	28.6406i	0.395224	−	0.954156i
$902$	0.834515	−	0.649991i	0.0277863	−	0.0216423i
$903$	12.4442			0.414119
$904$	−58.1717	+	1.26272i	−1.93476	+	0.0419974i
$905$	−53.6795	−	0.343661i	−1.78437	−	0.0114237i
$906$	−12.3957	−	15.9146i	−0.411818	−	0.528727i
$907$	−9.37811	−	22.6408i	−0.311395	−	0.751774i	−0.999654	−	0.0263091i	$-0.991625\pi$
$907$	−9.37811	−	22.6408i	−0.311395	−	0.751774i	0.688259	−	0.725465i	$-0.258375\pi$
$908$	46.1031	−	6.74955i	1.52998	−	0.223992i
$909$	0.881114	−	0.364969i	0.0292247	−	0.0121053i
$910$	−2.78462	−	10.3579i	−0.0923094	−	0.343360i
$911$	19.6911			0.652395			0.326198	−	0.945302i	$-0.394233\pi$
$911$	19.6911			0.652395			0.326198	+	0.945302i	$0.394233\pi$
$912$	1.88395	−	3.49274i	0.0623837	−	0.115656i
$913$	5.61184	−	5.61184i	0.185725	−	0.185725i
$914$	−13.4029	+	3.69542i	−0.443329	+	0.122234i
$915$	−6.97568	−	17.1505i	−0.230609	−	0.566978i
$916$	−21.2814	+	3.11563i	−0.703158	+	0.102943i
$917$	8.38984	−	3.47519i	0.277057	−	0.114761i
$918$	6.07465	−	48.8711i	0.200493	−	1.61299i
$919$	−14.8097	+	14.8097i	−0.488526	+	0.488526i	−0.907841	−	0.419315i	$-0.862270\pi$
$919$	−14.8097	+	14.8097i	−0.488526	+	0.488526i	0.419315	+	0.907841i	$0.362270\pi$
$920$	−12.4944	+	31.5198i	−0.411928	+	1.03918i
$921$	30.8092	+	30.8092i	1.01520	+	1.01520i
$922$	24.9787	−	19.4556i	0.822631	−	0.640735i
$923$	−2.76999	−	6.68735i	−0.0911753	−	0.220117i
$924$	−0.487208	+	1.92954i	−0.0160280	+	0.0634771i
$925$	4.32890	+	1.85837i	0.142333	+	0.0611030i
$926$	−10.0862	+	17.7654i	−0.331454	+	0.583808i
$927$	−8.50865	−	8.50865i	−0.279461	−	0.279461i
$928$	3.64953	+	21.6405i	0.119802	+	0.710383i
$929$		−	2.48749i		−	0.0816119i	−0.999167	−	0.0408059i	$-0.987007\pi$
$929$		−	2.48749i		−	0.0816119i	0.999167	−	0.0408059i	$-0.0129925\pi$
$930$	−9.88732	−	36.7775i	−0.324218	−	1.20598i
$931$	−1.81340	−	4.37794i	−0.0594318	−	0.143481i
$932$	29.0469	−	17.3354i	0.951464	−	0.567840i
$933$	16.8797	−	6.99181i	0.552618	−	0.228902i
$934$	2.00839	+	0.249642i	0.0657166	+	0.00816854i
$935$	−9.10409	+	8.98826i	−0.297736	+	0.293948i
$936$	13.6374	+	5.30506i	0.445752	+	0.173401i
$937$			29.6925i			0.970013i	0.874511	+	0.485006i	$0.161183\pi$
$937$			29.6925i			0.970013i	−0.874511	+	0.485006i	$0.838817\pi$
$938$	−6.97110	−	0.866504i	−0.227614	−	0.0282924i
$939$	15.2658	+	6.32331i	0.498181	+	0.206353i
$940$	1.39939	+	10.0050i	0.0456430	+	0.326329i
$941$	15.1479	+	36.5702i	0.493807	+	1.19215i	0.952768	+	0.303698i	$0.0982215\pi$
$941$	15.1479	+	36.5702i	0.493807	+	1.19215i	−0.458962	+	0.888456i	$0.651778\pi$
$942$	−13.6440	+	24.0320i	−0.444547	+	0.783006i
$943$	3.06745	+	3.06745i	0.0998899	+	0.0998899i
$944$	6.57927	+	8.07906i	0.214137	+	0.262951i
$945$	−7.16449	−	7.25682i	−0.233061	−	0.236064i
$946$	14.5679	−	4.01663i	0.473642	−	0.130592i
$947$	14.5446	−	35.1138i	0.472636	−	1.14104i	−0.490358	−	0.871521i	$-0.663134\pi$
$947$	14.5446	−	35.1138i	0.472636	−	1.14104i	0.962994	−	0.269523i	$-0.0868660\pi$
$948$	−44.7851	+	6.55660i	−1.45455	+	0.212949i
$949$	18.3475	−	44.2948i	0.595586	−	1.43787i
$950$	0.718683	−	5.23353i	0.0233172	−	0.169798i
$951$	20.1442	+	20.1442i	0.653222	+	0.653222i
$952$	−14.1883	+	0.307983i	−0.459846	+	0.00998178i
$953$			34.9734i			1.13290i	0.824096	+	0.566450i	$0.191684\pi$
$953$			34.9734i			1.13290i	−0.824096	+	0.566450i	$0.808316\pi$
$954$	8.69084	+	1.08027i	0.281376	+	0.0349749i
$955$	9.04184	+	22.2304i	0.292587	+	0.719360i
$956$	−16.8021	−	28.1534i	−0.543420	−	0.910547i
$957$	−1.82241	+	4.39969i	−0.0589102	+	0.142222i
$958$	−11.9625	−	43.3867i	−0.386491	−	1.40176i
$959$	−1.38743			−0.0448025
$960$	23.7394	−	0.878873i	0.766187	−	0.0283655i
$961$	−51.2404			−1.65292
$962$	−1.48188	−	5.37461i	−0.0477777	−	0.173284i
$963$	−3.35696	+	8.10441i	−0.108176	+	0.261161i
$964$	−2.05039	−	3.43560i	−0.0660385	−	0.110653i
$965$	38.9766	+	16.4378i	1.25470	+	0.529150i
$966$	−8.09917	−	1.00672i	−0.260587	−	0.0323908i
$967$			11.5019i			0.369876i	0.982750	+	0.184938i	$0.0592084\pi$
$967$			11.5019i			0.369876i	−0.982750	+	0.184938i	$0.940792\pi$
$968$	−0.622752	−	28.6893i	−0.0200160	−	0.922109i
$969$	4.34225	+	4.34225i	0.139493	+	0.139493i
$970$	8.98092	+	1.17476i	0.288360	+	0.0377191i
$971$	−12.3780	+	29.8832i	−0.397230	+	0.958998i	0.591090	+	0.806606i	$0.298698\pi$
$971$	−12.3780	+	29.8832i	−0.397230	+	0.958998i	−0.988320	+	0.152393i	$0.951302\pi$
$972$	23.5139	−	3.44246i	0.754207	−	0.110417i
$973$	0.519799	−	1.25491i	0.0166640	−	0.0402305i
$974$	13.1936	−	3.63772i	0.422751	−	0.116560i
$975$	−27.7800	−	0.355714i	−0.889672	−	0.0113920i
$976$	2.53856	−	24.8108i	0.0812574	−	0.794176i
$977$	−13.9126	−	13.9126i	−0.445104	−	0.445104i	0.448619	−	0.893723i	$-0.351916\pi$
$977$	−13.9126	−	13.9126i	−0.445104	−	0.445104i	−0.893723	+	0.448619i	$0.851916\pi$
$978$	−4.80704	+	8.46690i	−0.153712	+	0.270742i
$979$	3.83053	+	9.24771i	0.122424	+	0.295558i
$980$	17.0862	−	22.6431i	0.545799	−	0.723306i
$981$	−12.6293	−	5.23121i	−0.403221	−	0.167020i
$982$	−34.5548	−	4.29514i	−1.10269	−	0.137063i
$983$		−	29.1931i		−	0.931115i	−0.885018	−	0.465557i	$-0.845854\pi$
$983$		−	29.1931i		−	0.931115i	0.885018	−	0.465557i	$-0.154146\pi$
$984$	1.10191	−	2.83261i	0.0351276	−	0.0903002i
$985$	12.0518	+	12.2071i	0.384003	+	0.388951i
$986$	−33.7006	−	4.18897i	−1.07325	−	0.133404i
$987$	−2.24666	+	0.930596i	−0.0715119	+	0.0296212i
$988$	−5.36838	+	3.20388i	−0.170791	+	0.101929i
$989$	23.7160	+	57.2556i	0.754126	+	1.82062i
$990$	−3.13150	−	1.80450i	−0.0995257	−	0.0573508i
$991$		−	16.1180i		−	0.512006i	−0.966676	−	0.256003i	$-0.917594\pi$
$991$		−	16.1180i		−	0.512006i	0.966676	−	0.256003i	$-0.0824057\pi$
$992$	11.4767	−	49.9998i	0.364386	−	1.58749i
$993$	22.0736	+	22.0736i	0.700485	+	0.700485i
$994$	−0.979148	+	1.72463i	−0.0310567	+	0.0547019i
$995$	−44.4533	−	18.7475i	−1.40926	−	0.594335i
$996$	5.58278	−	22.1100i	0.176897	−	0.700582i
$997$	1.94553	+	4.69692i	0.0616154	+	0.148753i	0.951689	−	0.307065i	$-0.0993469\pi$
$997$	1.94553	+	4.69692i	0.0616154	+	0.148753i	−0.890073	+	0.455818i	$0.849347\pi$
$998$	−22.9001	+	17.8366i	−0.724890	+	0.564606i
$999$	−3.74816	−	3.74816i	−0.118586	−	0.118586i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	160.2.u.a.43.13	✓	88
4.3	odd	2		640.2.u.a.463.16		88
5.2	odd	4		160.2.ba.a.107.1	yes	88
5.3	odd	4		800.2.bb.b.107.22		88
5.4	even	2		800.2.v.b.43.10		88
20.7	even	4		640.2.ba.a.207.7		88
32.3	odd	8		160.2.ba.a.3.1	yes	88
32.29	even	8		640.2.ba.a.303.7		88
160.3	even	8		800.2.v.b.707.10		88
160.67	even	8	inner	160.2.u.a.67.13	yes	88
160.99	odd	8		800.2.bb.b.643.22		88
160.157	odd	8		640.2.u.a.47.16		88

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
160.2.u.a.43.13	✓	88	1.1	even	1	trivial
160.2.u.a.67.13	yes	88	160.67	even	8	inner
160.2.ba.a.3.1	yes	88	32.3	odd	8
160.2.ba.a.107.1	yes	88	5.2	odd	4
640.2.u.a.47.16		88	160.157	odd	8
640.2.u.a.463.16		88	4.3	odd	2
640.2.ba.a.207.7		88	20.7	even	4
640.2.ba.a.303.7		88	32.29	even	8
800.2.v.b.43.10		88	5.4	even	2
800.2.v.b.707.10		88	160.3	even	8
800.2.bb.b.107.22		88	5.3	odd	4
800.2.bb.b.643.22		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)

\(f(q)\)	\(=\)	\(q+(0.375898 + 1.36334i) q^{2} +(-0.508197 + 1.22690i) q^{3} +(-1.71740 + 1.02496i) q^{4} +(-2.07129 + 0.842463i) q^{5} +(-1.86371 - 0.231658i) q^{6} -0.810621i q^{7} +(-2.04293 - 1.95613i) q^{8} +(0.874309 + 0.874309i) q^{9} +O(q^{10})\)	\(q+(0.375898 + 1.36334i) q^{2} +(-0.508197 + 1.22690i) q^{3} +(-1.71740 + 1.02496i) q^{4} +(-2.07129 + 0.842463i) q^{5} +(-1.86371 - 0.231658i) q^{6} -0.810621i q^{7} +(-2.04293 - 1.95613i) q^{8} +(0.874309 + 0.874309i) q^{9} +(-1.92716 - 2.50720i) q^{10} +(0.353731 - 0.853982i) q^{11} +(-0.384736 - 2.62795i) q^{12} +(-1.60120 + 3.86563i) q^{13} +(1.10515 - 0.304711i) q^{14} +(0.0190103 - 2.96940i) q^{15} +(1.89893 - 3.52052i) q^{16} +(4.37679 + 4.37679i) q^{17} +(-0.863331 + 1.52063i) q^{18} +(-0.285895 - 0.690211i) q^{19} +(2.69375 - 3.56983i) q^{20} +(0.994548 + 0.411955i) q^{21} +(1.29724 + 0.161246i) q^{22} +5.36098i q^{23} +(3.43818 - 1.51237i) q^{24} +(3.58051 - 3.48998i) q^{25} +(-5.87207 - 0.729895i) q^{26} +(-5.19770 + 2.15296i) q^{27} +(0.830850 + 1.39216i) q^{28} +(1.48464 + 3.58424i) q^{29} +(4.05545 - 1.09027i) q^{30} -9.06865i q^{31} +(5.51348 + 1.26554i) q^{32} +(0.867982 + 0.867982i) q^{33} +(-4.32183 + 7.61229i) q^{34} +(0.682918 + 1.67903i) q^{35} +(-2.39767 - 0.605412i) q^{36} +(0.360559 + 0.870467i) q^{37} +(0.833526 - 0.649221i) q^{38} +(-3.92901 - 3.92901i) q^{39} +(5.87948 + 2.33061i) q^{40} +(0.572180 - 0.572180i) q^{41} +(-0.187787 + 1.51076i) q^{42} +(10.6801 - 4.42382i) q^{43} +(0.267796 + 1.82919i) q^{44} +(-2.54752 - 1.07438i) q^{45} +(-7.30885 + 2.01518i) q^{46} +(-1.59734 + 1.59734i) q^{47} +(3.35428 + 4.11891i) q^{48} +6.34289 q^{49} +(6.10394 + 3.56959i) q^{50} +(-7.59414 + 3.14560i) q^{51} +(-1.21220 - 8.28000i) q^{52} +(-1.91662 - 4.62712i) q^{53} +(-4.88902 - 6.27695i) q^{54} +(-0.0132321 + 2.06685i) q^{55} +(-1.58568 + 1.65604i) q^{56} +0.992109 q^{57} +(-4.32846 + 3.37138i) q^{58} +(-0.996806 + 2.40650i) q^{59} +(3.01085 + 5.11914i) q^{60} +(5.76047 - 2.38607i) q^{61} +(12.3637 - 3.40889i) q^{62} +(0.708734 - 0.708734i) q^{63} +(0.347145 + 7.99246i) q^{64} +(0.0598966 - 9.35581i) q^{65} +(-0.857084 + 1.50963i) q^{66} +(-5.66126 - 2.34497i) q^{67} +(-12.0027 - 3.03069i) q^{68} +(-6.57737 - 2.72444i) q^{69} +(-2.03239 + 1.56220i) q^{70} +(-1.22326 + 1.22326i) q^{71} +(-0.0758959 - 3.49641i) q^{72} -11.4586 q^{73} +(-1.05121 + 0.818772i) q^{74} +(2.46223 + 6.16651i) q^{75} +(1.19843 + 0.892340i) q^{76} +(-0.692256 - 0.286742i) q^{77} +(3.87967 - 6.83349i) q^{78} -17.0418i q^{79} +(-0.967340 + 8.89181i) q^{80} -3.76178i q^{81} +(0.995159 + 0.564996i) q^{82} +(7.93236 + 3.28569i) q^{83} +(-2.13027 + 0.311875i) q^{84} +(-12.7529 - 5.37833i) q^{85} +(10.0458 + 12.8977i) q^{86} -5.15198 q^{87} +(-2.39314 + 1.05269i) q^{88} +(-7.65721 + 7.65721i) q^{89} +(0.507134 - 3.87700i) q^{90} +(3.13356 + 1.29796i) q^{91} +(-5.49477 - 9.20696i) q^{92} +(11.1263 + 4.60866i) q^{93} +(-2.77815 - 1.57728i) q^{94} +(1.17365 + 1.18877i) q^{95} +(-4.35462 + 6.12132i) q^{96} +(-2.02530 + 2.02530i) q^{97} +(2.38428 + 8.64753i) q^{98} +(1.05591 - 0.437374i) 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

Introduction

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