LMFDB - Embedded newform 160.2.u.a.43.11

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			43.11
Character	$\chi$	$=$	160.43
Dual form			160.2.u.a.67.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.201889 - 1.39973i) q^{2} +(0.867966 - 2.09546i) q^{3} +(-1.91848 + 0.565181i) q^{4} +(-0.324298 - 2.21243i) q^{5} +(-3.10830 - 0.791867i) q^{6} +1.82364i q^{7} +(1.17842 + 2.57125i) q^{8} +(-1.51625 - 1.51625i) q^{9} +O(q^{10})$	\(q+(-0.201889 - 1.39973i) q^{2} +(0.867966 - 2.09546i) q^{3} +(-1.91848 + 0.565181i) q^{4} +(-0.324298 - 2.21243i) q^{5} +(-3.10830 - 0.791867i) q^{6} +1.82364i q^{7} +(1.17842 + 2.57125i) q^{8} +(-1.51625 - 1.51625i) q^{9} +(-3.03132 + 0.900595i) q^{10} +(0.961996 - 2.32246i) q^{11} +(-0.480865 + 4.51065i) q^{12} +(-0.933824 + 2.25445i) q^{13} +(2.55261 - 0.368174i) q^{14} +(-4.91752 - 1.24076i) q^{15} +(3.36114 - 2.16858i) q^{16} +(4.72557 + 4.72557i) q^{17} +(-1.81622 + 2.42845i) q^{18} +(-2.59683 - 6.26929i) q^{19} +(1.87258 + 4.06121i) q^{20} +(3.82136 + 1.58286i) q^{21} +(-3.44504 - 0.877653i) q^{22} -2.92890i q^{23} +(6.41077 - 0.237572i) q^{24} +(-4.78966 + 1.43497i) q^{25} +(3.34415 + 0.851950i) q^{26} +(1.79308 - 0.742720i) q^{27} +(-1.03069 - 3.49863i) q^{28} +(-0.782843 - 1.88995i) q^{29} +(-0.743929 + 7.13369i) q^{30} +4.36460i q^{31} +(-3.71400 - 4.26687i) q^{32} +(-4.03164 - 4.03164i) q^{33} +(5.66047 - 7.56855i) q^{34} +(4.03468 - 0.591405i) q^{35} +(3.76585 + 2.05194i) q^{36} +(2.62132 + 6.32842i) q^{37} +(-8.25104 + 4.90056i) q^{38} +(3.91357 + 3.91357i) q^{39} +(5.30654 - 3.44102i) q^{40} +(2.88617 - 2.88617i) q^{41} +(1.44408 - 5.66844i) q^{42} +(5.94638 - 2.46307i) q^{43} +(-0.532959 + 4.99931i) q^{44} +(-2.86287 + 3.84630i) q^{45} +(-4.09966 + 0.591314i) q^{46} +(2.37861 - 2.37861i) q^{47} +(-1.62680 - 8.92537i) q^{48} +3.67432 q^{49} +(2.97555 + 6.41452i) q^{50} +(14.0038 - 5.80058i) q^{51} +(0.517351 - 4.85290i) q^{52} +(4.38389 + 10.5837i) q^{53} +(-1.40161 - 2.35988i) q^{54} +(-5.45025 - 1.37517i) q^{55} +(-4.68904 + 2.14902i) q^{56} -15.3910 q^{57} +(-2.48737 + 1.47733i) q^{58} +(-5.32909 + 12.8656i) q^{59} +(10.1354 - 0.398918i) q^{60} +(-9.94533 + 4.11949i) q^{61} +(6.10926 - 0.881167i) q^{62} +(2.76510 - 2.76510i) q^{63} +(-5.22265 + 6.06003i) q^{64} +(5.29064 + 1.33490i) q^{65} +(-4.82926 + 6.45715i) q^{66} +(-7.52483 - 3.11689i) q^{67} +(-11.7367 - 6.39511i) q^{68} +(-6.13738 - 2.54218i) q^{69} +(-1.64237 - 5.52806i) q^{70} +(-4.67129 + 4.67129i) q^{71} +(2.11187 - 5.68543i) q^{72} -3.68202 q^{73} +(8.32886 - 4.94678i) q^{74} +(-1.15034 + 11.2820i) q^{75} +(8.52525 + 10.5598i) q^{76} +(4.23535 + 1.75434i) q^{77} +(4.68783 - 6.26805i) q^{78} -6.84547i q^{79} +(-5.88783 - 6.73301i) q^{80} -10.8349i q^{81} +(-4.62254 - 3.45717i) q^{82} +(1.14210 + 0.473073i) q^{83} +(-8.22582 - 0.876926i) q^{84} +(8.92247 - 11.9875i) q^{85} +(-4.64814 - 7.82605i) q^{86} -4.63979 q^{87} +(7.10527 - 0.263309i) q^{88} +(2.03382 - 2.03382i) q^{89} +(5.96177 + 3.23071i) q^{90} +(-4.11131 - 1.70296i) q^{91} +(1.65536 + 5.61904i) q^{92} +(9.14583 + 3.78833i) q^{93} +(-3.80962 - 2.84919i) q^{94} +(-13.0282 + 7.77841i) q^{95} +(-12.1647 + 4.07902i) q^{96} +(-12.8371 + 12.8371i) q^{97} +(-0.741807 - 5.14306i) q^{98} +(-4.98006 + 2.06281i) 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 $

$2$	−0.201889	−	1.39973i	−0.142757	−	0.989758i
$2$	−0.201889	−	1.39973i	−0.142757	−	0.989758i
$3$	0.867966	−	2.09546i	0.501120	−	1.20981i	−0.447754	−	0.894157i	$-0.647776\pi$
$3$	0.867966	−	2.09546i	0.501120	−	1.20981i	0.948874	−	0.315655i	$-0.102224\pi$
$4$	−1.91848	+	0.565181i	−0.959241	+	0.282591i
$5$	−0.324298	−	2.21243i	−0.145031	−	0.989427i
$5$	−0.324298	−	2.21243i	−0.145031	−	0.989427i
$6$	−3.10830	−	0.791867i	−1.26896	−	0.323278i
$7$			1.82364i			0.689273i	0.938736	+	0.344636i	$0.111998\pi$
$7$			1.82364i			0.689273i	−0.938736	+	0.344636i	$0.888002\pi$
$8$	1.17842	+	2.57125i	0.416635	+	0.909074i
$9$	−1.51625	−	1.51625i	−0.505416	−	0.505416i
$10$	−3.03132	+	0.900595i	−0.958589	+	0.284793i
$11$	0.961996	−	2.32246i	0.290053	−	0.700249i	−0.709939	−	0.704263i	$-0.751278\pi$
$11$	0.961996	−	2.32246i	0.290053	−	0.700249i	0.999992	+	0.00401368i	$0.00127760\pi$
$12$	−0.480865	+	4.51065i	−0.138814	+	1.30211i
$13$	−0.933824	+	2.25445i	−0.258996	+	0.625272i	−0.998873	−	0.0474707i	$-0.984884\pi$
$13$	−0.933824	+	2.25445i	−0.258996	+	0.625272i	0.739876	+	0.672743i	$0.234884\pi$
$14$	2.55261	−	0.368174i	0.682213	−	0.0983988i
$15$	−4.91752	−	1.24076i	−1.26970	−	0.320362i
$16$	3.36114	−	2.16858i	0.840285	−	0.542145i
$17$	4.72557	+	4.72557i	1.14612	+	1.14612i	0.987309	+	0.158809i	$0.0507653\pi$
$17$	4.72557	+	4.72557i	1.14612	+	1.14612i	0.158809	+	0.987309i	$0.449235\pi$
$18$	−1.81622	+	2.42845i	−0.428088	+	0.572391i
$19$	−2.59683	−	6.26929i	−0.595753	−	1.43827i	−0.877872	−	0.478895i	$-0.841038\pi$
$19$	−2.59683	−	6.26929i	−0.595753	−	1.43827i	0.282120	−	0.959379i	$-0.408962\pi$
$20$	1.87258	+	4.06121i	0.418722	+	0.908114i
$21$	3.82136	+	1.58286i	0.833890	+	0.345409i
$22$	−3.44504	−	0.877653i	−0.734484	−	0.187116i
$23$		−	2.92890i		−	0.610718i	−0.952237	−	0.305359i	$-0.901224\pi$
$23$		−	2.92890i		−	0.610718i	0.952237	−	0.305359i	$-0.0987764\pi$
$24$	6.41077	−	0.237572i	1.30859	−	0.0484942i
$25$	−4.78966	+	1.43497i	−0.957932	+	0.286995i
$26$	3.34415	+	0.851950i	0.655841	+	0.167081i
$27$	1.79308	−	0.742720i	0.345079	−	0.142937i
$28$	−1.03069	−	3.49863i	−0.194782	−	0.661178i
$29$	−0.782843	−	1.88995i	−0.145370	−	0.350955i	0.834377	−	0.551195i	$-0.185828\pi$
$29$	−0.782843	−	1.88995i	−0.145370	−	0.350955i	−0.979747	+	0.200240i	$0.935828\pi$
$30$	−0.743929	+	7.13369i	−0.135822	+	1.30243i
$31$			4.36460i			0.783906i	0.919985	+	0.391953i	$0.128200\pi$
$31$			4.36460i			0.783906i	−0.919985	+	0.391953i	$0.871800\pi$
$32$	−3.71400	−	4.26687i	−0.656549	−	0.754284i
$33$	−4.03164	−	4.03164i	−0.701818	−	0.701818i
$34$	5.66047	−	7.56855i	0.970762	−	1.29800i
$35$	4.03468	−	0.591405i	0.681985	−	0.0999656i
$36$	3.76585	+	2.05194i	0.627641	+	0.341990i
$37$	2.62132	+	6.32842i	0.430942	+	1.04039i	0.978984	+	0.203936i	$0.0653733\pi$
$37$	2.62132	+	6.32842i	0.430942	+	1.04039i	−0.548042	+	0.836451i	$0.684627\pi$
$38$	−8.25104	+	4.90056i	−1.33849	+	0.794975i
$39$	3.91357	+	3.91357i	0.626673	+	0.626673i
$40$	5.30654	−	3.44102i	0.839038	−	0.544073i
$41$	2.88617	−	2.88617i	0.450744	−	0.450744i	−0.444857	−	0.895601i	$-0.646746\pi$
$41$	2.88617	−	2.88617i	0.450744	−	0.450744i	0.895601	+	0.444857i	$0.146746\pi$
$42$	1.44408	−	5.66844i	0.222827	−	0.874659i
$43$	5.94638	−	2.46307i	0.906815	−	0.375615i	0.119978	−	0.992777i	$-0.461718\pi$
$43$	5.94638	−	2.46307i	0.906815	−	0.375615i	0.786836	+	0.617162i	$0.211718\pi$
$44$	−0.532959	+	4.99931i	−0.0803466	+	0.753674i
$45$	−2.86287	+	3.84630i	−0.426772	+	0.573373i
$46$	−4.09966	+	0.591314i	−0.604462	+	0.0871845i
$47$	2.37861	−	2.37861i	0.346955	−	0.346955i	−0.512019	−	0.858974i	$-0.671102\pi$
$47$	2.37861	−	2.37861i	0.346955	−	0.346955i	0.858974	+	0.512019i	$0.171102\pi$
$48$	−1.62680	−	8.92537i	−0.234809	−	1.28827i
$49$	3.67432			0.524903
$50$	2.97555	+	6.41452i	0.420807	+	0.907150i
$51$	14.0038	−	5.80058i	1.96093	−	0.812244i
$52$	0.517351	−	4.85290i	0.0717437	−	0.672976i
$53$	4.38389	+	10.5837i	0.602174	+	1.45378i	0.871339	+	0.490682i	$0.163252\pi$
$53$	4.38389	+	10.5837i	0.602174	+	1.45378i	−0.269165	+	0.963094i	$0.586748\pi$
$54$	−1.40161	−	2.35988i	−0.190735	−	0.321140i
$55$	−5.45025	−	1.37517i	−0.734912	−	0.185428i
$56$	−4.68904	+	2.14902i	−0.626600	+	0.287175i
$57$	−15.3910			−2.03858
$58$	−2.48737	+	1.47733i	−0.326608	+	0.193983i
$59$	−5.32909	+	12.8656i	−0.693788	+	1.67495i	0.0432175	+	0.999066i	$0.486239\pi$
$59$	−5.32909	+	12.8656i	−0.693788	+	1.67495i	−0.737005	+	0.675887i	$0.763761\pi$
$60$	10.1354	−	0.398918i	1.30848	−	0.0515001i
$61$	−9.94533	+	4.11949i	−1.27337	+	0.527447i	−0.913987	−	0.405744i	$-0.867013\pi$
$61$	−9.94533	+	4.11949i	−1.27337	+	0.527447i	−0.359382	+	0.933190i	$0.617013\pi$
$62$	6.10926	−	0.881167i	0.775877	−	0.111908i
$63$	2.76510	−	2.76510i	0.348369	−	0.348369i
$64$	−5.22265	+	6.06003i	−0.652831	+	0.757504i
$65$	5.29064	+	1.33490i	0.656223	+	0.165574i
$66$	−4.82926	+	6.45715i	−0.594440	+	0.794820i
$67$	−7.52483	−	3.11689i	−0.919304	−	0.380788i	−0.127693	−	0.991814i	$-0.540757\pi$
$67$	−7.52483	−	3.11689i	−0.919304	−	0.380788i	−0.791611	+	0.611025i	$0.790757\pi$
$68$	−11.7367	−	6.39511i	−1.42329	−	0.775521i
$69$	−6.13738	−	2.54218i	−0.738853	−	0.306043i
$70$	−1.64237	−	5.52806i	−0.196300	−	0.660729i
$71$	−4.67129	+	4.67129i	−0.554380	+	0.554380i	−0.927702	−	0.373322i	$-0.878219\pi$
$71$	−4.67129	+	4.67129i	−0.554380	+	0.554380i	0.373322	+	0.927702i	$0.378219\pi$
$72$	2.11187	−	5.68543i	0.248887	−	0.670034i
$73$	−3.68202			−0.430947			−0.215474	−	0.976510i	$-0.569130\pi$
$73$	−3.68202			−0.430947			−0.215474	+	0.976510i	$0.569130\pi$
$74$	8.32886	−	4.94678i	0.968210	−	0.575051i
$75$	−1.15034	+	11.2820i	−0.132830	+	1.30274i
$76$	8.52525	+	10.5598i	0.977913	+	1.21130i
$77$	4.23535	+	1.75434i	0.482663	+	0.199925i
$78$	4.68783	−	6.26805i	0.530792	−	0.709717i
$79$		−	6.84547i		−	0.770176i	−0.922880	−	0.385088i	$-0.874171\pi$
$79$		−	6.84547i		−	0.770176i	0.922880	−	0.385088i	$-0.125829\pi$
$80$	−5.88783	−	6.73301i	−0.658280	−	0.752773i
$81$		−	10.8349i		−	1.20388i
$82$	−4.62254	−	3.45717i	−0.510474	−	0.381780i
$83$	1.14210	+	0.473073i	0.125362	+	0.0519265i	0.444482	−	0.895788i	$-0.353388\pi$
$83$	1.14210	+	0.473073i	0.125362	+	0.0519265i	−0.319121	+	0.947714i	$0.603388\pi$
$84$	−8.22582	−	0.876926i	−0.897510	−	0.0956805i
$85$	8.92247	−	11.9875i	0.967778	−	1.30022i
$86$	−4.64814	−	7.82605i	−0.501222	−	0.843905i
$87$	−4.63979			−0.497438
$88$	7.10527	−	0.263309i	0.757424	−	0.0280689i
$89$	2.03382	−	2.03382i	0.215585	−	0.215585i	−0.591050	−	0.806635i	$-0.701286\pi$
$89$	2.03382	−	2.03382i	0.215585	−	0.215585i	0.806635	+	0.591050i	$0.201286\pi$
$90$	5.96177	+	3.23071i	0.628425	+	0.340547i
$91$	−4.11131	−	1.70296i	−0.430983	−	0.178519i
$92$	1.65536	+	5.61904i	0.172583	+	0.585825i
$93$	9.14583	+	3.78833i	0.948379	+	0.392831i
$94$	−3.80962	−	2.84919i	−0.392932	−	0.293871i
$95$	−13.0282	+	7.77841i	−1.33667	+	0.798048i
$96$	−12.1647	+	4.07902i	−1.24155	+	0.416313i
$97$	−12.8371	+	12.8371i	−1.30341	+	1.30341i	−0.377324	+	0.926081i	$0.623156\pi$
$97$	−12.8371	+	12.8371i	−1.30341	+	1.30341i	−0.926081	+	0.377324i	$0.876844\pi$
$98$	−0.741807	−	5.14306i	−0.0749338	−	0.519527i
$99$	−4.98006	+	2.06281i	−0.500515	+	0.207320i
$100$	8.37786	−	5.45999i	0.837786	−	0.545999i
$101$	0.488605	−	1.17960i	0.0486180	−	0.117374i	−0.897705	−	0.440598i	$-0.854767\pi$
$101$	0.488605	−	1.17960i	0.0486180	−	0.117374i	0.946323	+	0.323223i	$0.104767\pi$
$102$	−10.9465	−	18.4305i	−1.08386	−	1.82489i
$103$	−7.65794			−0.754559			−0.377279	−	0.926099i	$-0.623140\pi$
$103$	−7.65794			−0.754559			−0.377279	+	0.926099i	$0.623140\pi$
$104$	−6.89719	+	0.255598i	−0.676325	+	0.0250635i
$105$	2.26270	−	8.96781i	0.220817	−	0.875168i
$106$	13.9292	−	8.27299i	1.35292	−	0.803543i
$107$	2.49673	+	6.02765i	0.241368	+	0.582715i	0.997419	−	0.0717982i	$-0.0228738\pi$
$107$	2.49673	+	6.02765i	0.241368	+	0.582715i	−0.756051	+	0.654513i	$0.772874\pi$
$108$	−3.02023	+	2.43831i	−0.290622	+	0.234627i
$109$	3.58555	−	1.48518i	0.343434	−	0.142255i	−0.204298	−	0.978909i	$-0.565491\pi$
$109$	3.58555	−	1.48518i	0.343434	−	0.142255i	0.547732	+	0.836654i	$0.315491\pi$
$110$	−0.824522	+	7.90651i	−0.0786151	+	0.753856i
$111$	15.5361			1.47463
$112$	3.95471	+	6.12952i	0.373685	+	0.579186i
$113$	0.386850	−	0.386850i	0.0363917	−	0.0363917i	−0.688677	−	0.725068i	$-0.741808\pi$
$113$	0.386850	−	0.386850i	0.0363917	−	0.0363917i	0.725068	+	0.688677i	$0.241808\pi$
$114$	3.10728	+	21.5432i	0.291023	+	2.01770i
$115$	−6.47997	+	0.949837i	−0.604261	+	0.0885728i
$116$	2.57003	+	3.18339i	0.238622	+	0.295570i
$117$	4.83421	−	2.00240i	0.446923	−	0.185122i
$118$	19.0842	+	4.86186i	1.75684	+	0.447570i
$119$	−8.61775	+	8.61775i	−0.789988	+	0.789988i
$120$	−2.60461	−	14.1063i	−0.237768	−	1.28772i
$121$	3.30977	+	3.30977i	0.300888	+	0.300888i
$122$	7.77403	+	13.0891i	0.703827	+	1.18503i
$123$	−3.54274	−	8.55294i	−0.319438	−	0.771192i
$124$	−2.46679	−	8.37341i	−0.221524	−	0.751954i
$125$	4.72805	+	10.1314i	0.422890	+	0.906181i
$126$	−4.42863	−	3.31214i	−0.394534	−	0.295069i
$127$	11.3789	+	11.3789i	1.00972	+	1.00972i	0.999952	+	0.00976528i	$0.00310843\pi$
$127$	11.3789	+	11.3789i	1.00972	+	1.00972i	0.00976528	+	0.999952i	$0.496892\pi$
$128$	9.53680	+	6.08683i	0.842942	+	0.538005i
$129$		−	14.5982i		−	1.28530i
$130$	0.800376	−	7.67497i	0.0701976	−	0.673139i
$131$	−2.60401	−	6.28664i	−0.227514	−	0.549266i	0.768360	−	0.640018i	$-0.221073\pi$
$131$	−2.60401	−	6.28664i	−0.227514	−	0.549266i	−0.995874	+	0.0907516i	$0.971073\pi$
$132$	10.0132	+	5.45602i	0.871540	+	0.474886i
$133$	11.4330	−	4.73568i	0.991363	−	0.410636i
$134$	−2.84361	+	11.1620i	−0.245651	+	0.964249i
$135$	−2.22471	−	3.72620i	−0.191472	−	0.320701i
$136$	−6.58190	+	17.7193i	−0.564393	+	1.51942i
$137$		−	6.54710i		−	0.559357i	−0.960094	−	0.279678i	$-0.909772\pi$
$137$		−	6.54710i		−	0.559357i	0.960094	−	0.279678i	$-0.0902278\pi$
$138$	−2.31930	+	9.10390i	−0.197432	+	0.774976i
$139$	0.437814	+	0.181348i	0.0371349	+	0.0153818i	0.401174	−	0.916002i	$-0.368602\pi$
$139$	0.437814	+	0.181348i	0.0371349	+	0.0153818i	−0.364039	+	0.931384i	$0.618602\pi$
$140$	−7.40620	+	3.41492i	−0.625938	+	0.288614i
$141$	−2.91971	−	7.04881i	−0.245884	−	0.593617i
$142$	7.48162	+	5.59545i	0.627844	+	0.469560i
$143$	4.33755	+	4.33755i	0.362724	+	0.362724i
$144$	−8.38443	−	1.80822i	−0.698702	−	0.150685i
$145$	−3.92750	+	2.34489i	−0.326161	+	0.194733i
$146$	0.743360	+	5.15382i	0.0615209	+	0.426534i
$147$	3.18919	−	7.69938i	0.263040	−	0.635034i
$148$	−8.60566	−	10.6594i	−0.707381	−	0.876201i
$149$	7.08331	−	17.1006i	0.580287	−	1.40094i	−0.312265	−	0.949995i	$-0.601088\pi$
$149$	7.08331	−	17.1006i	0.580287	−	1.40094i	0.892553	−	0.450943i	$-0.148912\pi$
$150$	16.0240	−	0.667556i	1.30836	−	0.0545057i
$151$	−7.29408	−	7.29408i	−0.593584	−	0.593584i	0.345014	−	0.938598i	$-0.387874\pi$
$151$	−7.29408	−	7.29408i	−0.593584	−	0.593584i	−0.938598	+	0.345014i	$0.887874\pi$
$152$	13.0598	−	14.0650i	1.05929	−	1.14082i
$153$		−	14.3303i		−	1.15853i
$154$	1.60053	−	6.28252i	0.128974	−	0.506260i
$155$	9.65636	−	1.41543i	0.775618	−	0.113690i
$156$	−9.71999	−	5.29624i	−0.778222	−	0.424038i
$157$	−0.561317	+	1.35514i	−0.0447980	+	0.108152i	−0.944695	−	0.327951i	$-0.893642\pi$
$157$	−0.561317	+	1.35514i	−0.0447980	+	0.108152i	0.899897	+	0.436103i	$0.143642\pi$
$158$	−9.58181	+	1.38203i	−0.762288	+	0.109948i
$159$	25.9826			2.06056
$160$	−8.23570	+	9.60069i	−0.651089	+	0.759001i
$161$	5.34127			0.420951
$162$	−15.1659	+	2.18745i	−1.19155	+	0.171862i
$163$	−7.62304	+	18.4037i	−0.597083	+	1.44149i	0.279458	+	0.960158i	$0.409845\pi$
$163$	−7.62304	+	18.4037i	−0.597083	+	1.44149i	−0.876541	+	0.481328i	$0.840155\pi$
$164$	−3.90585	+	7.16827i	−0.304996	+	0.559748i
$165$	−7.61225	+	10.2272i	−0.592613	+	0.796183i
$166$	0.431596	−	1.69414i	0.0334983	−	0.131491i
$167$		−	17.3636i		−	1.34363i	−0.740717	−	0.671817i	$-0.765514\pi$
$167$		−	17.3636i		−	1.34363i	0.740717	−	0.671817i	$-0.234486\pi$
$168$	0.433247	+	11.6910i	0.0334257	+	0.901977i
$169$	4.98187	+	4.98187i	0.383221	+	0.383221i
$170$	−18.5805	−	10.0689i	−1.42506	−	0.772249i
$171$	−5.56837	+	13.4432i	−0.425824	+	1.02803i
$172$	−10.0159	+	8.08614i	−0.763708	+	0.616562i
$173$	2.46740	−	5.95682i	0.187593	−	0.452889i	−0.801902	−	0.597455i	$-0.796179\pi$
$173$	2.46740	−	5.95682i	0.187593	−	0.452889i	0.989495	+	0.144566i	$0.0461786\pi$
$174$	0.936724	+	6.49445i	0.0710129	+	0.492343i
$175$	−2.61688	−	8.73464i	−0.197817	−	0.660276i
$176$	−1.80304	−	9.89229i	−0.135909	−	0.745660i
$177$	22.3337	+	22.3337i	1.67871	+	1.67871i
$178$	−3.25741	−	2.43619i	−0.244153	−	0.182600i
$179$	1.97869	+	4.77697i	0.147894	+	0.357047i	0.980414	−	0.196947i	$-0.0631028\pi$
$179$	1.97869	+	4.77697i	0.147894	+	0.357047i	−0.832520	+	0.553995i	$0.813103\pi$
$180$	3.31851	−	8.99710i	0.247347	−	0.670604i
$181$	−23.4920	−	9.73069i	−1.74614	−	0.723277i	−0.998229	−	0.0594823i	$-0.981055\pi$
$181$	−23.4920	−	9.73069i	−1.74614	−	0.723277i	−0.747915	−	0.663794i	$-0.768945\pi$
$182$	−1.55365	+	6.09853i	−0.115164	+	0.452053i
$183$			24.4156i			1.80485i
$184$	7.53093	−	3.45148i	0.555187	−	0.254446i
$185$	13.1511	−	7.85177i	0.966887	−	0.577274i
$186$	3.45618	−	13.5665i	0.253420	−	0.994745i
$187$	15.5209	−	6.42898i	1.13500	−	0.470134i
$188$	−3.21897	+	5.90766i	−0.234767	+	0.430860i
$189$	1.35446	+	3.26995i	0.0985222	+	0.237854i
$190$	13.5179	+	16.6656i	0.980693	+	1.20905i
$191$		−	2.68508i		−	0.194285i	−0.995270	−	0.0971427i	$-0.969030\pi$
$191$		−	2.68508i		−	0.194285i	0.995270	−	0.0971427i	$-0.0309703\pi$
$192$	8.16544	+	16.2037i	0.589290	+	1.16940i
$193$	−0.0457614	−	0.0457614i	−0.00329397	−	0.00329397i	0.705458	−	0.708752i	$-0.250741\pi$
$193$	−0.0457614	−	0.0457614i	−0.00329397	−	0.00329397i	−0.708752	+	0.705458i	$0.750741\pi$
$194$	20.5601	+	15.3767i	1.47613	+	1.10398i
$195$	7.38933	−	9.92766i	0.529161	−	0.710934i
$196$	−7.04912	+	2.07666i	−0.503509	+	0.148333i
$197$	−9.95419	−	24.0315i	−0.709207	−	1.71218i	−0.701974	−	0.712202i	$-0.747698\pi$
$197$	−9.95419	−	24.0315i	−0.709207	−	1.71218i	−0.00723226	−	0.999974i	$-0.502302\pi$
$198$	3.89279	+	6.55427i	0.276649	+	0.465792i
$199$	6.69150	+	6.69150i	0.474348	+	0.474348i	0.903319	−	0.428970i	$-0.141124\pi$
$199$	6.69150	+	6.69150i	0.474348	+	0.474348i	−0.428970	+	0.903319i	$0.641124\pi$
$200$	−9.33391	−	10.6244i	−0.660007	−	0.751259i
$201$	−13.0626	+	13.0626i	−0.921364	+	0.921364i
$202$	−1.74976	−	0.445766i	−0.123113	−	0.0313640i
$203$	3.44660	−	1.42763i	0.241904	−	0.100200i
$204$	−23.5877	+	19.0430i	−1.65147	+	1.33328i
$205$	−7.32142	−	5.44946i	−0.511350	−	0.380607i
$206$	1.54606	+	10.7190i	0.107719	+	0.746831i
$207$	−4.44094	+	4.44094i	−0.308666	+	0.308666i
$208$	1.75024	+	9.60260i	0.121357	+	0.665820i
$209$	−17.0583			−1.17995
$210$	−13.0093	−	1.35666i	−0.897728	−	0.0936186i
$211$	11.4178	−	4.72942i	0.786035	−	0.325586i	0.0466868	−	0.998910i	$-0.485134\pi$
$211$	11.4178	−	4.72942i	0.786035	−	0.325586i	0.739348	+	0.673323i	$0.235134\pi$
$212$	−14.3921	−	17.8268i	−0.988453	−	1.22435i
$213$	5.73396	+	13.8430i	0.392884	+	0.948506i
$214$	7.93301	−	4.71167i	0.542289	−	0.322083i
$215$	−7.37777	−	12.3572i	−0.503160	−	0.842751i
$216$	4.02273	+	3.73523i	0.273712	+	0.254150i
$217$	−7.95948			−0.540325
$218$	−2.80274	−	4.71896i	−0.189826	−	0.319608i
$219$	−3.19587	+	7.71550i	−0.215957	+	0.521365i
$220$	11.2334	−	0.442134i	0.757358	−	0.0298087i
$221$	−15.0664	+	6.24071i	−1.01348	+	0.419795i
$222$	−3.13658	−	21.7464i	−0.210514	−	1.45952i
$223$	−0.318654	+	0.318654i	−0.0213387	+	0.0213387i	−0.717696	−	0.696357i	$-0.754803\pi$
$223$	−0.318654	+	0.318654i	−0.0213387	+	0.0213387i	0.696357	+	0.717696i	$0.254803\pi$
$224$	7.78126	−	6.77301i	0.519907	−	0.452541i
$225$	9.43809	+	5.08654i	0.629206	+	0.339103i
$226$	−0.619585	−	0.463384i	−0.0412142	−	0.0308238i
$227$	−8.12326	−	3.36476i	−0.539160	−	0.223327i	0.0964500	−	0.995338i	$-0.469251\pi$
$227$	−8.12326	−	3.36476i	−0.539160	−	0.223327i	−0.635610	+	0.772011i	$0.719251\pi$
$228$	29.5273	−	8.69869i	1.95549	−	0.576085i
$229$	−13.4394	−	5.56677i	−0.888099	−	0.367863i	−0.108467	−	0.994100i	$-0.534594\pi$
$229$	−13.4394	−	5.56677i	−0.888099	−	0.367863i	−0.779633	+	0.626237i	$0.784594\pi$
$230$	2.63775	+	8.87844i	0.173928	+	0.585427i
$231$	7.35228	−	7.35228i	0.483744	−	0.483744i
$232$	3.93702	−	4.24004i	0.258478	−	0.278372i
$233$	3.17102			0.207741			0.103870	−	0.994591i	$-0.466877\pi$
$233$	3.17102			0.207741			0.103870	+	0.994591i	$0.466877\pi$
$234$	−3.77879	−	6.36233i	−0.247027	−	0.415918i
$235$	−6.03387	−	4.49111i	−0.393606	−	0.292968i
$236$	2.95239	−	27.6942i	0.192184	−	1.80274i
$237$	−14.3444	−	5.94164i	−0.931768	−	0.385951i
$238$	13.8023	+	10.3227i	0.894673	+	0.669120i
$239$			9.99182i			0.646317i	0.946345	+	0.323159i	$0.104745\pi$
$239$			9.99182i			0.646317i	−0.946345	+	0.323159i	$0.895255\pi$
$240$	−19.2192	+	6.49367i	−1.24059	+	0.419164i
$241$			5.00164i			0.322184i	0.986939	+	0.161092i	$0.0515015\pi$
$241$			5.00164i			0.322184i	−0.986939	+	0.161092i	$0.948498\pi$
$242$	3.96457	−	5.30099i	0.254852	−	0.340761i
$243$	−17.3248	−	7.17615i	−1.11138	−	0.460350i
$244$	16.7517	−	13.5241i	1.07242	−	0.865791i
$245$	−1.19158	−	8.12917i	−0.0761271	−	0.519354i
$246$	−11.2565	+	6.68563i	−0.717691	+	0.426260i
$247$	16.5588			1.05361
$248$	−11.2225	+	5.14334i	−0.712628	+	0.326603i
$249$	1.98261	−	1.98261i	0.125643	−	0.125643i
$250$	13.2267	−	8.66341i	0.836529	−	0.547922i
$251$	−9.18980	−	3.80654i	−0.580055	−	0.240267i	0.0733105	−	0.997309i	$-0.476644\pi$
$251$	−9.18980	−	3.80654i	−0.580055	−	0.240267i	−0.653366	+	0.757042i	$0.726644\pi$
$252$	−3.74201	+	6.86757i	−0.235724	+	0.432616i
$253$	−6.80226	−	2.81759i	−0.427655	−	0.177140i
$254$	13.6301	−	18.2247i	0.855231	−	1.14352i
$255$	−17.3748	−	29.1014i	−1.08805	−	1.82240i
$256$	6.59454	−	14.5778i	0.412158	−	0.911112i
$257$	9.13325	−	9.13325i	0.569717	−	0.569717i	−0.362332	−	0.932049i	$-0.618019\pi$
$257$	9.13325	−	9.13325i	0.569717	−	0.569717i	0.932049	+	0.362332i	$0.118019\pi$
$258$	−20.4336	+	2.94723i	−1.27214	+	0.183487i
$259$	−11.5408	+	4.78035i	−0.717110	+	0.297037i
$260$	−10.9045	+	0.429186i	−0.676266	+	0.0266170i
$261$	−1.67865	+	4.05262i	−0.103906	+	0.250851i
$262$	−8.27387	+	4.91412i	−0.511161	+	0.303595i
$263$	−20.8614			−1.28637			−0.643185	−	0.765711i	$-0.722387\pi$
$263$	−20.8614			−1.28637			−0.643185	+	0.765711i	$0.722387\pi$
$264$	5.61538	−	15.1173i	0.345603	−	0.930407i
$265$	21.9939	−	13.1313i	1.35107	−	0.806649i
$266$	−8.93687	−	15.0469i	−0.547954	−	0.922588i
$267$	−2.49650	−	6.02708i	−0.152783	−	0.368851i
$268$	16.1978	+	1.72680i	0.989441	+	0.105481i
$269$	−6.99960	+	2.89933i	−0.426773	+	0.176775i	−0.585723	−	0.810512i	$-0.699189\pi$
$269$	−6.99960	+	2.89933i	−0.426773	+	0.176775i	0.158950	+	0.987287i	$0.449189\pi$
$270$	−4.76653	+	3.86627i	−0.290082	+	0.235294i
$271$	−1.81693			−0.110371			−0.0551855	−	0.998476i	$-0.517575\pi$
$271$	−1.81693			−0.110371			−0.0551855	+	0.998476i	$0.517575\pi$
$272$	26.1311	+	5.63553i	1.58443	+	0.341704i
$273$	−7.13696	+	7.13696i	−0.431949	+	0.431949i
$274$	−9.16417	+	1.32179i	−0.553627	+	0.0798523i
$275$	−1.27496	+	12.5043i	−0.0768832	+	0.754035i
$276$	13.2112	+	1.40840i	0.795223	+	0.0847760i
$277$	0.276400	−	0.114489i	0.0166073	−	0.00687895i	−0.374364	−	0.927282i	$-0.622139\pi$
$277$	0.276400	−	0.114489i	0.0166073	−	0.00687895i	0.390972	+	0.920403i	$0.372139\pi$
$278$	0.165449	−	0.649433i	0.00992295	−	0.0389504i
$279$	6.61782	−	6.61782i	0.396199	−	0.396199i
$280$	6.27520	+	9.67724i	0.375015	+	0.578326i
$281$	13.1693	+	13.1693i	0.785615	+	0.785615i	0.980772	−	0.195157i	$-0.0625215\pi$
$281$	13.1693	+	13.1693i	0.785615	+	0.785615i	−0.195157	+	0.980772i	$0.562522\pi$
$282$	−9.27697	+	5.50989i	−0.552435	+	0.328109i
$283$	−5.75146	−	13.8853i	−0.341889	−	0.825393i	−0.997525	−	0.0703159i	$-0.977599\pi$
$283$	−5.75146	−	13.8853i	−0.341889	−	0.825393i	0.655636	−	0.755077i	$-0.272401\pi$
$284$	6.32165	−	11.6019i	0.375121	−	0.688446i
$285$	4.99127	+	34.0514i	0.295657	+	2.01703i
$286$	5.19568	−	6.94709i	0.307227	−	0.410790i
$287$	5.26334	+	5.26334i	0.310685	+	0.310685i
$288$	−0.838291	+	12.1010i	−0.0493968	+	0.713057i
$289$			27.6620i			1.62717i
$290$	4.07513	+	5.02403i	0.239300	+	0.295021i
$291$	15.7573	+	38.0416i	0.923712	+	2.23004i
$292$	7.06388	−	2.08101i	0.413382	−	0.121782i
$293$	14.4094	−	5.96856i	0.841805	−	0.348687i	0.0802402	−	0.996776i	$-0.474431\pi$
$293$	14.4094	−	5.96856i	0.841805	−	0.348687i	0.761565	+	0.648088i	$0.224431\pi$
$294$	−11.4209	−	2.90957i	−0.666081	−	0.169690i
$295$	30.1923	+	7.61793i	1.75786	+	0.443533i
$296$	−13.1829	+	14.1976i	−0.766243	+	0.825220i
$297$		−	4.87887i		−	0.283101i
$298$	−25.3663	−	6.46228i	−1.46943	−	0.374350i
$299$	6.60306	+	2.73508i	0.381865	+	0.158174i
$300$	−4.16948	−	22.2945i	−0.240725	−	1.28717i
$301$	4.49177	+	10.8441i	0.258901	+	0.625042i
$302$	−8.73713	+	11.6823i	−0.502766	+	0.672243i
$303$	−2.04770	−	2.04770i	−0.117637	−	0.117637i
$304$	−22.3237	−	15.4406i	−1.28035	−	0.885576i
$305$	12.3393	+	20.6674i	0.706548	+	1.18341i
$306$	−20.0585	+	2.89313i	−1.14667	+	0.165389i
$307$	−9.29966	+	22.4514i	−0.530760	+	1.28137i	0.400261	+	0.916401i	$0.368919\pi$
$307$	−9.29966	+	22.4514i	−0.530760	+	1.28137i	−0.931021	+	0.364966i	$0.881081\pi$
$308$	−9.11695	−	0.971927i	−0.519487	−	0.0553807i
$309$	−6.64683	+	16.0469i	−0.378125	+	0.912874i
$310$	−3.93074	−	13.2305i	−0.223251	−	0.751444i
$311$	−19.1588	−	19.1588i	−1.08640	−	1.08640i	−0.995896	−	0.0905018i	$-0.971153\pi$
$311$	−19.1588	−	19.1588i	−1.08640	−	1.08640i	−0.0905018	−	0.995896i	$-0.528847\pi$
$312$	−5.45093	+	14.6746i	−0.308598	+	0.830786i
$313$			30.3841i			1.71741i	0.512471	+	0.858705i	$0.328730\pi$
$313$			30.3841i			1.71741i	−0.512471	+	0.858705i	$0.671270\pi$
$314$	2.01015	+	0.512103i	0.113439	+	0.0288997i
$315$	−7.01429	−	5.22086i	−0.395210	−	0.294162i
$316$	3.86893	+	13.1329i	0.217644	+	0.738784i
$317$	4.70994	−	11.3708i	0.264537	−	0.638648i	−0.734672	−	0.678422i	$-0.762664\pi$
$317$	4.70994	−	11.3708i	0.264537	−	0.638648i	0.999209	+	0.0397745i	$0.0126640\pi$
$318$	−5.24562	−	36.3686i	−0.294160	−	2.03945i
$319$	−5.14243			−0.287921
$320$	15.1011	+	9.58946i	0.844175	+	0.536067i
$321$	14.7977			0.825930
$322$	−1.07835	−	7.47633i	−0.0600939	−	0.416639i
$323$	17.3545	−	41.8974i	0.965629	−	2.33123i
$324$	6.12367	+	20.7865i	0.340204	+	1.15481i
$325$	1.23763	−	12.1381i	0.0686511	−	0.673299i
$326$	27.2991	+	6.95469i	1.51196	+	0.385185i
$327$		−	8.80246i		−	0.486777i
$328$	10.8222	+	4.01994i	0.597555	+	0.221964i
$329$	4.33773	+	4.33773i	0.239147	+	0.239147i
$330$	15.8521	+	8.59033i	0.872629	+	0.472882i
$331$	−1.22280	+	2.95210i	−0.0672112	+	0.162262i	−0.953916	−	0.300074i	$-0.902989\pi$
$331$	−1.22280	+	2.95210i	−0.0672112	+	0.162262i	0.886705	+	0.462336i	$0.152989\pi$
$332$	−2.45847	−	0.262089i	−0.134926	−	0.0143840i
$333$	5.62089	−	13.5700i	0.308023	−	0.743633i
$334$	−24.3043	+	3.50552i	−1.32987	+	0.191814i
$335$	−4.45559	+	17.6589i	−0.243435	+	0.964810i
$336$	16.2767	−	2.96671i	0.887967	−	0.161847i
$337$	−13.5567	−	13.5567i	−0.738483	−	0.738483i	0.233802	−	0.972284i	$-0.424883\pi$
$337$	−13.5567	−	13.5567i	−0.738483	−	0.738483i	−0.972284	+	0.233802i	$0.924883\pi$
$338$	5.96748	−	7.97905i	0.324588	−	0.434003i
$339$	−0.474854	−	1.14640i	−0.0257905	−	0.0622638i
$340$	−10.3425	+	28.0405i	−0.560902	+	1.52071i
$341$	10.1366	+	4.19873i	0.548930	+	0.227374i
$342$	19.9411	+	5.08016i	1.07829	+	0.274704i
$343$			19.4662i			1.05107i
$344$	13.3405	+	12.3871i	0.719272	+	0.667867i
$345$	−3.63406	+	14.4029i	−0.195651	+	0.775427i
$346$	−8.83608	−	2.25107i	−0.475031	−	0.121018i
$347$	−13.7757	+	5.70610i	−0.739521	+	0.306320i	−0.720458	−	0.693499i	$-0.756068\pi$
$347$	−13.7757	+	5.70610i	−0.739521	+	0.306320i	−0.0190630	+	0.999818i	$0.506068\pi$
$348$	8.90135	−	2.62232i	0.477162	−	0.140571i
$349$	−12.3458	−	29.8055i	−0.660857	−	1.59545i	−0.796463	−	0.604687i	$-0.793298\pi$
$349$	−12.3458	−	29.8055i	−0.660857	−	1.59545i	0.135606	−	0.990763i	$-0.456702\pi$
$350$	−11.6978	+	5.42635i	−0.625274	+	0.290051i
$351$			4.73599i			0.252788i
$352$	−13.4825	+	4.52092i	−0.718620	+	0.240966i
$353$	−13.9524	−	13.9524i	−0.742610	−	0.742610i	0.230469	−	0.973080i	$-0.425974\pi$
$353$	−13.9524	−	13.9524i	−0.742610	−	0.742610i	−0.973080	+	0.230469i	$0.925974\pi$
$354$	26.7522	−	35.7701i	1.42186	−	1.90116i
$355$	11.8498	+	8.81999i	0.628921	+	0.468116i
$356$	−2.75237	+	5.05133i	−0.145876	+	0.267720i
$357$	10.5782	+	25.5380i	0.559857	+	1.35162i
$358$	6.28699	−	3.73404i	0.332278	−	0.197350i
$359$	2.20044	+	2.20044i	0.116135	+	0.116135i	0.762786	−	0.646651i	$-0.223831\pi$
$359$	2.20044	+	2.20044i	0.116135	+	0.116135i	−0.646651	+	0.762786i	$0.723831\pi$
$360$	−13.2635	−	2.82859i	−0.699046	−	0.149080i
$361$	−19.1255	+	19.1255i	−1.00660	+	1.00660i
$362$	−8.87755	+	34.8469i	−0.466594	+	1.83151i
$363$	9.80825	−	4.06271i	0.514799	−	0.213237i
$364$	8.84996	+	0.943464i	0.463864	+	0.0494510i
$365$	1.19407	+	8.14619i	0.0625006	+	0.426391i
$366$	34.1752	−	4.92925i	1.78637	−	0.257656i
$367$	8.62030	−	8.62030i	0.449976	−	0.449976i	−0.445371	−	0.895346i	$-0.646928\pi$
$367$	8.62030	−	8.62030i	0.449976	−	0.449976i	0.895346	+	0.445371i	$0.146928\pi$
$368$	−6.35155	−	9.84444i	−0.331097	−	0.513177i
$369$	−8.75230			−0.455626
$370$	−13.6454	−	16.8228i	−0.709391	−	0.874573i
$371$	−19.3008	+	7.99466i	−1.00205	+	0.415062i
$372$	−19.6872	−	2.09879i	−1.02073	−	0.108817i
$373$	6.40576	+	15.4649i	0.331678	+	0.800741i	0.998459	+	0.0554878i	$0.0176714\pi$
$373$	6.40576	+	15.4649i	0.331678	+	0.800741i	−0.666782	+	0.745253i	$0.732329\pi$
$374$	−12.1323	−	20.4272i	−0.627349	−	1.05626i
$375$	25.3337	−	1.11370i	1.30823	−	0.0575111i
$376$	8.91899	+	3.31299i	0.459962	+	0.170854i
$377$	4.99184			0.257093
$378$	4.30359	−	2.55604i	0.221353	−	0.131468i
$379$	−1.48142	+	3.57646i	−0.0760954	+	0.183711i	−0.957350	−	0.288932i	$-0.906700\pi$
$379$	−1.48142	+	3.57646i	−0.0760954	+	0.183711i	0.881254	+	0.472643i	$0.156700\pi$
$380$	20.5981	−	22.2860i	1.05666	−	1.14325i
$381$	33.7206	−	13.9675i	1.72756	−	0.715578i
$382$	−3.75838	+	0.542089i	−0.192295	+	0.0277357i
$383$	9.98754	−	9.98754i	0.510340	−	0.510340i	−0.404291	−	0.914630i	$-0.632482\pi$
$383$	9.98754	−	9.98754i	0.510340	−	0.510340i	0.914630	+	0.404291i	$0.132482\pi$
$384$	21.0323	−	14.7008i	1.07330	−	0.750195i
$385$	2.50783	−	9.93932i	0.127811	−	0.506555i
$386$	−0.0548147	+	0.0732922i	−0.00279000	+	0.00373048i
$387$	−12.7508	−	5.28156i	−0.648160	−	0.268477i
$388$	17.3724	−	31.8829i	0.881949	−	1.61861i
$389$	13.9522	+	5.77917i	0.707403	+	0.293016i	0.707229	−	0.706984i	$-0.249945\pi$
$389$	13.9522	+	5.77917i	0.707403	+	0.293016i	0.000173278		1.00000i	$0.499945\pi$
$390$	−15.3879	−	8.33876i	−0.779194	−	0.422250i
$391$	13.8407	−	13.8407i	0.699955	−	0.699955i
$392$	4.32990	+	9.44760i	0.218693	+	0.477176i
$393$	−15.4336			−0.778521
$394$	−31.6280	+	18.7849i	−1.59340	+	0.946369i
$395$	−15.1451	+	2.21998i	−0.762033	+	0.111699i
$396$	8.38829	−	6.77209i	0.421527	−	0.340310i
$397$	1.51451	+	0.627330i	0.0760110	+	0.0314848i	0.420365	−	0.907355i	$-0.361902\pi$
$397$	1.51451	+	0.627330i	0.0760110	+	0.0314848i	−0.344354	+	0.938840i	$0.611902\pi$
$398$	8.01535	−	10.7172i	0.401773	−	0.537206i
$399$		−	28.0677i		−	1.40514i
$400$	−12.9869	+	15.2099i	−0.649344	+	0.760495i
$401$		−	27.9256i		−	1.39454i	−0.716810	−	0.697268i	$-0.754399\pi$
$401$		−	27.9256i		−	1.39454i	0.716810	−	0.697268i	$-0.245601\pi$
$402$	20.9213	+	15.6469i	1.04346	+	0.780396i
$403$	−9.83978	−	4.07577i	−0.490154	−	0.203029i
$404$	−0.270694	+	2.53918i	−0.0134675	+	0.126329i
$405$	−23.9714	+	3.51373i	−1.19115	+	0.174599i
$406$	−2.69412	−	4.53608i	−0.133707	−	0.225122i
$407$	17.2192			0.853526
$408$	31.4172	+	29.1718i	1.55538	+	1.44422i
$409$	−2.15738	+	2.15738i	−0.106676	+	0.106676i	−0.758430	−	0.651754i	$-0.774033\pi$
$409$	−2.15738	+	2.15738i	−0.106676	+	0.106676i	0.651754	+	0.758430i	$0.274033\pi$
$410$	−6.14964	+	11.3482i	−0.303709	+	0.560447i
$411$	−13.7192	−	5.68266i	−0.676716	−	0.280305i
$412$	14.6916	−	4.32812i	0.723804	−	0.213231i
$413$	−23.4622	−	9.71836i	−1.15450	−	0.478209i
$414$	7.11269	+	5.31953i	0.349569	+	0.261441i
$415$	0.676258	−	2.68023i	0.0331962	−	0.131567i
$416$	13.0877	−	4.38852i	0.641676	−	0.215165i
$417$	0.760015	−	0.760015i	0.0372181	−	0.0372181i
$418$	3.44390	+	23.8771i	0.168447	+	1.16786i
$419$	16.0038	−	6.62899i	0.781837	−	0.323847i	0.0441804	−	0.999024i	$-0.485932\pi$
$419$	16.0038	−	6.62899i	0.781837	−	0.323847i	0.737657	+	0.675176i	$0.235932\pi$
$420$	0.727484	+	18.4834i	0.0354976	+	0.901898i
$421$	−2.01327	+	4.86046i	−0.0981206	+	0.236884i	−0.965316	−	0.261084i	$-0.915920\pi$
$421$	−2.01327	+	4.86046i	−0.0981206	+	0.236884i	0.867196	+	0.497968i	$0.165920\pi$
$422$	−8.92504	−	15.0270i	−0.434464	−	0.731504i
$423$	−7.21312			−0.350714
$424$	−22.0471	+	23.7441i	−1.07070	+	1.15311i
$425$	−29.4149	−	15.8528i	−1.42683	−	0.768974i
$426$	18.2188	−	10.8207i	0.882704	−	0.524266i
$427$	−7.51248	−	18.1367i	−0.363555	−	0.877699i
$428$	−8.19665	−	10.1528i	−0.396200	−	0.490755i
$429$	12.8540	−	5.32429i	0.620596	−	0.257059i
$430$	−15.8072	+	12.8217i	−0.762290	+	0.618315i
$431$	25.6648			1.23623			0.618114	−	0.786088i	$-0.287897\pi$
$431$	25.6648			1.23623			0.618114	+	0.786088i	$0.287897\pi$
$432$	4.41616	−	6.38483i	0.212473	−	0.307190i
$433$	−0.537220	+	0.537220i	−0.0258172	+	0.0258172i	−0.719898	−	0.694080i	$-0.755811\pi$
$433$	−0.537220	+	0.537220i	−0.0258172	+	0.0258172i	0.694080	+	0.719898i	$0.255811\pi$
$434$	1.60694	+	11.1411i	0.0771354	+	0.534791i
$435$	1.50468	+	10.2652i	0.0721437	+	0.492178i
$436$	−6.03942	+	4.87579i	−0.289236	+	0.233508i
$437$	−18.3621	+	7.60584i	−0.878379	+	0.363837i
$438$	11.4448	+	2.91567i	0.546855	+	0.139316i
$439$	9.22880	−	9.22880i	0.440467	−	0.440467i	−0.451702	−	0.892169i	$-0.649183\pi$
$439$	9.22880	−	9.22880i	0.440467	−	0.440467i	0.892169	+	0.451702i	$0.149183\pi$
$440$	−2.88678	−	15.6345i	−0.137622	−	0.745346i
$441$	−5.57119	−	5.57119i	−0.265295	−	0.265295i
$442$	11.7770	+	19.8289i	0.560177	+	0.943167i
$443$	10.4611	+	25.2553i	0.497021	+	1.19991i	0.951081	+	0.308943i	$0.0999752\pi$
$443$	10.4611	+	25.2553i	0.497021	+	1.19991i	−0.454060	+	0.890971i	$0.650025\pi$
$444$	−29.8058	+	8.78073i	−1.41452	+	0.416715i
$445$	−5.15925	−	3.84012i	−0.244572	−	0.182039i
$446$	0.510362	+	0.381697i	0.0241664	+	0.0180739i
$447$	−29.6855	−	29.6855i	−1.40408	−	1.40408i
$448$	−11.0513	−	9.52425i	−0.522127	−	0.449978i
$449$			7.44244i			0.351230i	0.984459	+	0.175615i	$0.0561914\pi$
$449$			7.44244i			0.351230i	−0.984459	+	0.175615i	$0.943809\pi$
$450$	5.21433	−	14.2377i	0.245806	−	0.671171i
$451$	−3.92654	−	9.47951i	−0.184894	−	0.446373i
$452$	−0.523524	+	0.960804i	−0.0246245	+	0.0451924i
$453$	−21.6154	+	8.95340i	−1.01558	+	0.420668i
$454$	−3.06976	+	12.0497i	−0.144071	+	0.565519i
$455$	−2.43439	+	9.64825i	−0.114126	+	0.452317i
$456$	−18.1371	−	39.5740i	−0.849345	−	1.85322i
$457$			6.88148i			0.321902i	0.986962	+	0.160951i	$0.0514561\pi$
$457$			6.88148i			0.321902i	−0.986962	+	0.160951i	$0.948544\pi$
$458$	−5.07870	+	19.9354i	−0.237312	+	0.931518i
$459$	11.9831	+	4.96357i	0.559324	+	0.231679i
$460$	11.8949	−	5.48460i	0.554601	−	0.255721i
$461$	13.9103	+	33.5825i	0.647869	+	1.56409i	0.815825	+	0.578299i	$0.196283\pi$
$461$	13.9103	+	33.5825i	0.647869	+	1.56409i	−0.167956	+	0.985795i	$0.553717\pi$
$462$	−11.7755	−	8.80684i	−0.547848	−	0.409731i
$463$	−10.3388	−	10.3388i	−0.480487	−	0.480487i	0.424800	−	0.905287i	$-0.360344\pi$
$463$	−10.3388	−	10.3388i	−0.480487	−	0.480487i	−0.905287	+	0.424800i	$0.860344\pi$
$464$	−6.72975	−	4.65473i	−0.312421	−	0.216091i
$465$	5.41542	−	21.4630i	0.251134	−	0.995324i
$466$	−0.640196	−	4.43857i	−0.0296565	−	0.205613i
$467$	2.48244	−	5.99315i	0.114874	−	0.277330i	−0.855977	−	0.517013i	$-0.827044\pi$
$467$	2.48244	−	5.99315i	0.114874	−	0.277330i	0.970851	+	0.239684i	$0.0770437\pi$
$468$	−8.14263	+	6.57377i	−0.376393	+	0.303873i
$469$	5.68409	−	13.7226i	0.262467	−	0.633651i
$470$	−5.06817	+	9.35249i	−0.233777	+	0.431398i
$471$	2.35243	+	2.35243i	0.108394	+	0.108394i
$472$	−39.3605	+	1.45863i	−1.81171	+	0.0671390i
$473$		−	16.1797i		−	0.743945i
$474$	−5.42070	+	21.2778i	−0.248981	+	0.977322i
$475$	21.4342	+	26.3014i	0.983467	+	1.20679i
$476$	11.6624	−	21.4036i	0.534545	−	0.981031i
$477$	9.40037	−	22.6945i	0.430413	−	1.03911i
$478$	13.9858	−	2.01724i	0.639697	−	0.0922666i
$479$	−18.3769			−0.839664			−0.419832	−	0.907602i	$-0.637911\pi$
$479$	−18.3769			−0.839664			−0.419832	+	0.907602i	$0.637911\pi$
$480$	12.9695	+	25.5906i	0.591975	+	1.16805i
$481$	−16.7150			−0.762137
$482$	7.00093	−	1.00978i	0.318884	−	0.0459941i
$483$	4.63604	−	11.1924i	0.210947	−	0.509271i
$484$	−8.22035	−	4.47911i	−0.373652	−	0.203596i
$485$	32.5641	+	24.2380i	1.47866	+	1.10059i
$486$	−6.54698	+	25.6987i	−0.296977	+	1.16572i
$487$			24.6185i			1.11557i	0.829985	+	0.557786i	$0.188349\pi$
$487$			24.6185i			1.11557i	−0.829985	+	0.557786i	$0.811651\pi$
$488$	−22.3120	−	20.7174i	−1.01002	−	0.937834i
$489$	31.9475	+	31.9475i	1.44472	+	1.44472i
$490$	−11.1381	+	3.30908i	−0.503167	+	0.149489i
$491$	−11.5895	+	27.9794i	−0.523025	+	1.26269i	0.412991	+	0.910735i	$0.364484\pi$
$491$	−11.5895	+	27.9794i	−0.523025	+	1.26269i	−0.936016	+	0.351958i	$0.885516\pi$
$492$	11.6306	+	14.4064i	0.524350	+	0.649489i
$493$	5.23171	−	12.6305i	0.235624	−	0.568847i
$494$	−3.34304	−	23.1778i	−0.150411	−	1.04282i
$495$	6.17883	+	10.3490i	0.277718	+	0.465155i
$496$	9.46498	+	14.6700i	0.424990	+	0.658705i
$497$	−8.51876	−	8.51876i	−0.382119	−	0.382119i
$498$	−3.17538	−	2.37484i	−0.142292	−	0.106419i
$499$	−12.7332	−	30.7406i	−0.570015	−	1.37614i	−0.901542	−	0.432691i	$-0.857564\pi$
$499$	−12.7332	−	30.7406i	−0.570015	−	1.37614i	0.331528	−	0.943446i	$-0.392436\pi$
$500$	−14.7968	−	16.7647i	−0.661731	−	0.749741i
$501$	−36.3846	−	15.0710i	−1.62554	−	0.673322i
$502$	−3.47280	+	13.6317i	−0.154999	+	0.608414i
$503$		−	13.6615i		−	0.609137i	−0.952490	−	0.304569i	$-0.901488\pi$
$503$		−	13.6615i		−	0.609137i	0.952490	−	0.304569i	$-0.0985123\pi$
$504$	10.3682	+	3.85130i	0.461836	+	0.171551i
$505$	−2.76822	−	0.698461i	−0.123184	−	0.0310811i
$506$	−2.57056	+	10.0902i	−0.114275	+	0.448563i
$507$	14.7634	−	6.11519i	0.655665	−	0.271585i
$508$	−28.2614	−	15.3991i	−1.25390	−	0.683226i
$509$	−7.40082	−	17.8672i	−0.328035	−	0.791948i	−0.998738	−	0.0502212i	$-0.984007\pi$
$509$	−7.40082	−	17.8672i	−0.328035	−	0.791948i	0.670703	−	0.741726i	$-0.265993\pi$
$510$	−37.2262	+	30.1952i	−1.64840	+	1.33707i
$511$		−	6.71469i		−	0.297040i
$512$	−21.7363	−	6.28746i	−0.960619	−	0.277869i
$513$	−9.31265	−	9.31265i	−0.411164	−	0.411164i
$514$	−14.6280	−	10.9402i	−0.645213	−	0.482550i
$515$	2.48346	+	16.9426i	0.109434	+	0.746581i
$516$	8.25065	+	28.0065i	0.363215	+	1.23292i
$517$	−3.23602	−	7.81244i	−0.142320	−	0.343591i
$518$	9.02116	+	15.1889i	0.396367	+	0.667361i
$519$	−10.3406	−	10.3406i	−0.453904	−	0.453904i
$520$	2.80224	+	15.1766i	0.122886	+	0.665540i
$521$	9.29888	−	9.29888i	0.407391	−	0.407391i	−0.473437	−	0.880828i	$-0.656987\pi$
$521$	9.29888	−	9.29888i	0.407391	−	0.407391i	0.880828	+	0.473437i	$0.156987\pi$
$522$	6.01147	+	1.53147i	0.263115	+	0.0670307i
$523$	19.6029	−	8.11978i	0.857175	−	0.355053i	0.0895728	−	0.995980i	$-0.471450\pi$
$523$	19.6029	−	8.11978i	0.857175	−	0.355053i	0.767602	+	0.640927i	$0.221450\pi$
$524$	8.54884	+	10.5891i	0.373458	+	0.462585i
$525$	−20.5744	−	2.09781i	−0.897940	−	0.0915561i
$526$	4.21170	+	29.2003i	0.183639	+	1.27319i
$527$	−20.6252	+	20.6252i	−0.898449	+	0.898449i
$528$	−22.2938	−	4.80798i	−0.970215	−	0.209241i
$529$	14.4216			0.627024
$530$	−22.8206	−	28.1344i	−0.991263	−	1.22208i
$531$	27.5876	−	11.4272i	1.19720	−	0.495896i
$532$	−19.2574	+	15.5470i	−0.834914	+	0.674048i
$533$	3.81155	+	9.20190i	0.165097	+	0.398578i
$534$	−7.93226	+	4.71122i	−0.343262	+	0.203875i
$535$	12.5260	−	7.47859i	0.541548	−	0.323328i
$536$	−0.853127	−	23.0212i	−0.0368495	−	0.994365i
$537$	11.7274			0.506073
$538$	5.47142	+	9.21219i	0.235890	+	0.397166i
$539$	3.53469	−	8.53349i	0.152250	−	0.367563i
$540$	6.37404	+	5.89129i	0.274295	+	0.253521i
$541$	33.4570	−	13.8583i	1.43843	−	0.595817i	0.479012	−	0.877808i	$-0.340995\pi$
$541$	33.4570	−	13.8583i	1.43843	−	0.595817i	0.959417	+	0.281992i	$0.0909951\pi$
$542$	0.366820	+	2.54322i	0.0157563	+	0.109240i
$543$	−40.7805	+	40.7805i	−1.75006	+	1.75006i
$544$	2.61263	−	37.7141i	0.112016	−	1.61698i
$545$	−4.44865	−	7.45113i	−0.190559	−	0.319171i
$546$	11.4307	+	8.54893i	0.489188	+	0.365861i
$547$	4.65457	+	1.92799i	0.199015	+	0.0824348i	0.479965	−	0.877288i	$-0.340649\pi$
$547$	4.65457	+	1.92799i	0.199015	+	0.0824348i	−0.280950	+	0.959722i	$0.590649\pi$
$548$	3.70030	+	12.5605i	0.158069	+	0.536558i
$549$	21.3258	+	8.83342i	0.910161	+	0.377001i
$550$	17.7600	−	0.739875i	0.757288	−	0.0315484i
$551$	−9.81574	+	9.81574i	−0.418165	+	0.418165i
$552$	−0.695825	−	18.7765i	−0.0296163	−	0.799181i
$553$	12.4837			0.530861
$554$	−0.216055	−	0.363771i	−0.00917930	−	0.0154551i
$555$	−5.03835	−	34.3726i	−0.213866	−	1.45903i
$556$	−0.942433	−	0.100470i	−0.0399680	−	0.00426086i
$557$	1.64543	+	0.681558i	0.0697190	+	0.0288785i	0.417270	−	0.908782i	$-0.362987\pi$
$557$	1.64543	+	0.681558i	0.0697190	+	0.0288785i	−0.347551	+	0.937661i	$0.612987\pi$
$558$	−10.5992	−	7.92709i	−0.448701	−	0.335580i
$559$			15.7059i			0.664289i
$560$	12.2786	−	10.7373i	0.518866	−	0.453734i
$561$		−	38.1036i		−	1.60873i
$562$	15.7747	−	21.0922i	0.665417	−	0.889721i
$563$	16.0756	+	6.65874i	0.677507	+	0.280632i	0.694784	−	0.719218i	$-0.255500\pi$
$563$	16.0756	+	6.65874i	0.677507	+	0.280632i	−0.0172775	+	0.999851i	$0.505500\pi$
$564$	9.58527	+	11.8729i	0.403613	+	0.499937i
$565$	−0.981331	−	0.730421i	−0.0412849	−	0.0307291i
$566$	−18.2744	+	10.8538i	−0.768132	+	0.456218i
$567$	19.7590			0.829798
$568$	−17.5158	−	6.50630i	−0.734946	−	0.272998i
$569$	10.3064	−	10.3064i	0.432066	−	0.432066i	−0.457265	−	0.889331i	$-0.651171\pi$
$569$	10.3064	−	10.3064i	0.432066	−	0.432066i	0.889331	+	0.457265i	$0.151171\pi$
$570$	46.6550	−	13.8610i	1.95416	−	0.580575i
$571$	−6.02968	−	2.49758i	−0.252334	−	0.104520i	0.252931	−	0.967484i	$-0.418605\pi$
$571$	−6.02968	−	2.49758i	−0.252334	−	0.104520i	−0.505265	+	0.862964i	$0.668605\pi$
$572$	−10.7730	−	5.87000i	−0.450442	−	0.245437i
$573$	−5.62646	−	2.33056i	−0.235049	−	0.0973604i
$574$	6.30464	−	8.42987i	0.263151	−	0.351856i
$575$	4.20289	+	14.0284i	0.175273	+	0.585026i
$576$	17.1073	−	1.26968i	0.712806	−	0.0529034i
$577$	−1.54388	+	1.54388i	−0.0642726	+	0.0642726i	−0.738512	−	0.674240i	$-0.764471\pi$
$577$	−1.54388	+	1.54388i	−0.0642726	+	0.0642726i	0.674240	+	0.738512i	$0.264471\pi$
$578$	38.7192	−	5.58466i	1.61051	−	0.232291i
$579$	−0.135610	+	0.0561716i	−0.00563577	+	0.00233441i
$580$	6.20955	−	6.71838i	0.257838	−	0.278965i
$581$	−0.862716	+	2.08278i	−0.0357915	+	0.0864083i
$582$	50.0667	−	29.7362i	2.07533	−	1.23261i
$583$	28.7974			1.19267
$584$	−4.33897	−	9.46738i	−0.179548	−	0.391763i
$585$	−5.99788	−	10.0460i	−0.247982	−	0.415350i
$586$	−11.2635	−	18.9642i	−0.465290	−	0.783406i
$587$	−17.1761	−	41.4669i	−0.708935	−	1.71152i	−0.702645	−	0.711541i	$-0.747998\pi$
$587$	−17.1761	−	41.4669i	−0.708935	−	1.71152i	−0.00629022	−	0.999980i	$-0.502002\pi$
$588$	−1.76685	+	16.5736i	−0.0728638	+	0.683483i
$589$	27.3630	−	11.3341i	1.12747	−	0.467014i
$590$	4.56753	−	43.7990i	0.188042	−	1.80318i
$591$	−58.9969			−2.42681
$592$	22.5343	+	15.5862i	0.926154	+	0.640588i
$593$	−19.2722	+	19.2722i	−0.791415	+	0.791415i	−0.981724	−	0.190309i	$-0.939051\pi$
$593$	−19.2722	+	19.2722i	−0.791415	+	0.791415i	0.190309	+	0.981724i	$0.439051\pi$
$594$	−6.82909	+	0.984992i	−0.280201	+	0.0404147i
$595$	21.8609	+	16.2714i	0.896208	+	0.667063i
$596$	−3.92425	+	36.8106i	−0.160744	+	1.50782i
$597$	19.8297	−	8.21375i	0.811577	−	0.336166i
$598$	2.49528	−	9.79467i	0.102039	−	0.400534i
$599$	−13.0546	+	13.0546i	−0.533398	+	0.533398i	−0.921582	−	0.388184i	$-0.873102\pi$
$599$	−13.0546	+	13.0546i	−0.533398	+	0.533398i	0.388184	+	0.921582i	$0.373102\pi$
$600$	−30.3645	+	10.3372i	−1.23963	+	0.422013i
$601$	16.1482	+	16.1482i	0.658701	+	0.658701i	0.955073	−	0.296372i	$-0.0957768\pi$
$601$	16.1482	+	16.1482i	0.658701	+	0.658701i	−0.296372	+	0.955073i	$0.595777\pi$
$602$	14.2719	−	8.47656i	0.581681	−	0.345479i
$603$	6.68353	+	16.1355i	0.272175	+	0.657088i
$604$	18.1160	+	9.87108i	0.737131	+	0.401649i
$605$	6.24927	−	8.39598i	0.254069	−	0.341345i
$606$	−2.45281	+	3.27963i	−0.0996387	+	0.133226i
$607$	14.4280	+	14.4280i	0.585616	+	0.585616i	0.936441	−	0.350825i	$-0.114099\pi$
$607$	14.4280	+	14.4280i	0.585616	+	0.585616i	−0.350825	+	0.936441i	$0.614099\pi$
$608$	−17.1057	+	34.3645i	−0.693726	+	1.39366i
$609$		−	8.46132i		−	0.342870i
$610$	26.4375	−	21.4442i	1.07042	−	0.868252i
$611$	3.14125	+	7.58365i	0.127081	+	0.306802i
$612$	8.09919	+	27.4923i	0.327390	+	1.11131i
$613$	−15.9240	+	6.59592i	−0.643163	+	0.266407i	−0.680334	−	0.732902i	$-0.738165\pi$
$613$	−15.9240	+	6.59592i	−0.643163	+	0.266407i	0.0371713	+	0.999309i	$0.488165\pi$
$614$	33.3033	+	8.48431i	1.34401	+	0.342399i
$615$	−17.7738	+	10.6118i	−0.716710	+	0.427907i
$616$	0.480182	+	12.9575i	0.0193471	+	0.522072i
$617$		−	2.54063i		−	0.102282i	−0.998691	−	0.0511409i	$-0.983714\pi$
$617$		−	2.54063i		−	0.102282i	0.998691	−	0.0511409i	$-0.0162858\pi$
$618$	23.8032	+	6.06406i	0.957504	+	0.243932i
$619$	−29.5153	−	12.2256i	−1.18632	−	0.491390i	−0.299765	−	0.954013i	$-0.596908\pi$
$619$	−29.5153	−	12.2256i	−1.18632	−	0.491390i	−0.886555	+	0.462623i	$0.846908\pi$
$620$	−17.7256	+	8.17308i	−0.711876	+	0.328239i
$621$	−2.17535	−	5.25176i	−0.0872938	−	0.210746i
$622$	−22.9492	+	30.6851i	−0.920179	+	1.23036i
$623$	3.70897	+	3.70897i	0.148597	+	0.148597i
$624$	21.6410	+	4.66718i	0.866332	+	0.186837i
$625$	20.8817	−	13.7461i	0.835268	−	0.549843i
$626$	42.5295	−	6.13423i	1.69982	−	0.245173i
$627$	−14.8061	+	35.7450i	−0.591297	+	1.42752i
$628$	0.310977	−	2.91705i	0.0124093	−	0.116403i
$629$	−17.5182	+	42.2926i	−0.698495	+	1.68632i
$630$	−5.89167	+	10.8721i	−0.234730	+	0.433156i
$631$	−6.90354	−	6.90354i	−0.274826	−	0.274826i	0.556214	−	0.831039i	$-0.312254\pi$
$631$	−6.90354	−	6.90354i	−0.274826	−	0.274826i	−0.831039	+	0.556214i	$0.812254\pi$
$632$	17.6014	−	8.06685i	0.700147	−	0.320882i
$633$		−	28.0305i		−	1.11411i
$634$	−16.8669	−	4.29699i	−0.669871	−	0.170655i
$635$	21.4849	−	28.8652i	0.852602	−	1.14548i
$636$	−49.8472	+	14.6849i	−1.97657	+	0.582294i
$637$	−3.43117	+	8.28358i	−0.135948	+	0.328207i
$638$	1.03820	+	7.19801i	0.0411029	+	0.284972i
$639$	14.1657			0.560385
$640$	10.3739	−	23.0734i	0.410064	−	0.912057i
$641$	6.05600			0.239198			0.119599	−	0.992822i	$-0.461839\pi$
$641$	6.05600			0.239198			0.119599	+	0.992822i	$0.461839\pi$
$642$	−2.98751	−	20.7128i	−0.117908	−	0.817470i
$643$	−9.28921	+	22.4261i	−0.366331	+	0.884400i	0.628014	+	0.778202i	$0.283868\pi$
$643$	−9.28921	+	22.4261i	−0.366331	+	0.884400i	−0.994345	+	0.106198i	$0.966132\pi$
$644$	−10.2471	+	3.01878i	−0.403793	+	0.118957i
$645$	−32.2975	+	4.73419i	−1.27171	+	0.186408i
$646$	−62.1487	−	15.8329i	−2.44521	−	0.622938i
$647$			29.7754i			1.17059i	0.810820	+	0.585295i	$0.199021\pi$
$647$			29.7754i			1.17059i	−0.810820	+	0.585295i	$0.800979\pi$
$648$	27.8592	−	12.7681i	1.09441	−	0.501576i
$649$	24.7532	+	24.7532i	0.971649	+	0.971649i
$650$	−17.2399	+	0.718208i	−0.676203	+	0.0281704i
$651$	−6.90856	+	16.6787i	−0.270768	+	0.653691i
$652$	4.22327	−	39.6155i	0.165396	−	1.55146i
$653$	−5.87242	+	14.1773i	−0.229806	+	0.554800i	−0.996153	−	0.0876259i	$-0.972072\pi$
$653$	−5.87242	+	14.1773i	−0.229806	+	0.554800i	0.766348	+	0.642426i	$0.222072\pi$
$654$	−12.3211	+	1.77712i	−0.481791	+	0.0694910i
$655$	−13.0643	+	7.79993i	−0.510463	+	0.304769i
$656$	3.44194	−	15.9597i	0.134385	−	0.623122i
$657$	5.58285	+	5.58285i	0.217808	+	0.217808i
$658$	5.19591	−	6.94739i	0.202557	−	0.270837i
$659$	1.99148	+	4.80787i	0.0775772	+	0.187288i	0.957910	−	0.287069i	$-0.0926808\pi$
$659$	1.99148	+	4.80787i	0.0775772	+	0.187288i	−0.880333	+	0.474357i	$0.842681\pi$
$660$	8.82377	−	23.9229i	0.343465	−	0.931198i
$661$	3.68451	+	1.52617i	0.143311	+	0.0593613i	0.453186	−	0.891416i	$-0.350287\pi$
$661$	3.68451	+	1.52617i	0.143311	+	0.0593613i	−0.309875	+	0.950777i	$0.600287\pi$
$662$	4.37901	+	1.11559i	0.170195	+	0.0433587i
$663$			36.9877i			1.43648i
$664$	0.129485	+	3.49410i	0.00502501	+	0.135597i
$665$	−14.1850	−	23.7588i	−0.550072	−	0.921327i
$666$	−20.1292	−	5.12808i	−0.779989	−	0.198709i
$667$	−5.53547	+	2.29287i	−0.214334	+	0.0887802i
$668$	9.81356	+	33.3117i	0.379698	+	1.28887i
$669$	0.391145	+	0.944307i	0.0151225	+	0.0365090i
$670$	25.6173	+	2.67147i	0.989681	+	0.103208i
$671$			27.0606i			1.04466i
$672$	−7.43868	−	22.1840i	−0.286953	−	0.855767i
$673$	7.68998	+	7.68998i	0.296427	+	0.296427i	0.839613	−	0.543186i	$-0.182782\pi$
$673$	7.68998	+	7.68998i	0.296427	+	0.296427i	−0.543186	+	0.839613i	$0.682782\pi$
$674$	−16.2388	+	21.7127i	−0.625495	+	0.836343i
$675$	−7.52248	+	6.13040i	−0.289541	+	0.235959i
$676$	−12.3733	−	6.74196i	−0.475895	−	0.259306i
$677$	−1.69476	−	4.09151i	−0.0651349	−	0.157250i	0.887960	−	0.459920i	$-0.152122\pi$
$677$	−1.69476	−	4.09151i	−0.0651349	−	0.157250i	−0.953095	+	0.302670i	$0.902122\pi$
$678$	−1.50878	+	0.896112i	−0.0579443	+	0.0344150i
$679$	−23.4102	−	23.4102i	−0.898401	−	0.898401i
$680$	41.3372	+	8.81563i	1.58521	+	0.338064i
$681$	−14.1014	+	14.1014i	−0.540368	+	0.540368i
$682$	3.83061	−	15.0362i	0.146681	−	0.575767i
$683$	17.1345	−	7.09732i	0.655632	−	0.271572i	−0.0299673	−	0.999551i	$-0.509540\pi$
$683$	17.1345	−	7.09732i	0.655632	−	0.271572i	0.685599	+	0.727979i	$0.259540\pi$
$684$	3.08495	−	28.9377i	0.117956	−	1.10646i
$685$	−14.4850	+	2.12321i	−0.553443	+	0.0811238i
$686$	27.2473	−	3.93001i	1.04031	−	0.150049i
$687$	−23.3299	+	23.3299i	−0.890090	+	0.890090i
$688$	14.6453	−	21.1739i	0.558345	−	0.807248i
$689$	−27.9541			−1.06497
$690$	20.8939	+	2.17889i	0.795416	+	0.0829491i
$691$	−4.22700	+	1.75088i	−0.160803	+	0.0666066i	−0.461633	−	0.887071i	$-0.652736\pi$
$691$	−4.22700	+	1.75088i	−0.160803	+	0.0666066i	0.300830	+	0.953678i	$0.402736\pi$
$692$	−1.36697	+	12.8226i	−0.0519645	+	0.487441i
$693$	−3.76182	−	9.08185i	−0.142900	−	0.344991i
$694$	10.7682	+	18.1303i	0.408754	+	0.688217i
$695$	0.259238	−	1.02744i	0.00983345	−	0.0389731i
$696$	−5.46763	−	11.9301i	−0.207250	−	0.452207i
$697$	27.2776			1.03321
$698$	−39.2271	+	23.2982i	−1.48477	+	0.881851i
$699$	2.75234	−	6.64473i	0.104103	−	0.251327i
$700$	9.95708	+	15.2782i	0.376342	+	0.577463i
$701$	10.1497	−	4.20416i	0.383351	−	0.158789i	−0.182682	−	0.983172i	$-0.558478\pi$
$701$	10.1497	−	4.20416i	0.383351	−	0.158789i	0.566032	+	0.824383i	$0.308478\pi$
$702$	6.62910	−	0.956146i	0.250199	−	0.0360874i
$703$	32.8676	−	32.8676i	1.23963	−	1.23963i
$704$	9.05004	+	17.9591i	0.341086	+	0.676860i
$705$	−14.6481	+	8.74557i	−0.551680	+	0.329377i
$706$	−16.7127	+	22.3464i	−0.628991	+	0.841018i
$707$	2.15116	+	0.891041i	0.0809028	+	0.0335110i
$708$	−55.4694	−	30.2242i	−2.08467	−	1.13590i
$709$	−18.5278	−	7.67448i	−0.695827	−	0.288221i	0.00659835	−	0.999978i	$-0.497900\pi$
$709$	−18.5278	−	7.67448i	−0.695827	−	0.288221i	−0.702426	+	0.711757i	$0.747900\pi$
$710$	9.95325	−	18.3671i	0.373539	−	0.689306i
$711$	−10.3794	+	10.3794i	−0.389259	+	0.389259i
$712$	7.62617	+	2.83277i	0.285803	+	0.106162i
$713$	12.7835			0.478745
$714$	33.6107	−	19.9625i	1.25785	−	0.747076i
$715$	8.18984	−	11.0032i	0.306283	−	0.411495i
$716$	−6.49592	−	8.04621i	−0.242764	−	0.300701i
$717$	20.9374	+	8.67256i	0.781922	+	0.323883i
$718$	2.63577	−	3.52426i	0.0983661	−	0.131524i
$719$			11.7080i			0.436633i	0.975878	+	0.218316i	$0.0700565\pi$
$719$			11.7080i			0.436633i	−0.975878	+	0.218316i	$0.929943\pi$
$720$	−1.28150	+	19.1363i	−0.0477586	+	0.713169i
$721$		−	13.9653i		−	0.520097i
$722$	30.6317	+	22.9093i	1.13999	+	0.852594i
$723$	10.4807	+	4.34125i	0.389782	+	0.161453i
$724$	50.5685	+	5.39094i	1.87936	+	0.200353i
$725$	6.46158	+	7.92886i	0.239977	+	0.294471i
$726$	−7.66687	−	12.9087i	−0.284544	−	0.479086i
$727$	5.39264			0.200002			0.100001	−	0.994987i	$-0.468115\pi$
$727$	5.39264			0.200002			0.100001	+	0.994987i	$0.468115\pi$
$728$	−0.466120	−	12.5780i	−0.0172756	−	0.466172i
$729$	−7.09035	+	7.09035i	−0.262605	+	0.262605i
$730$	11.1614	−	3.31601i	0.413101	−	0.122731i
$731$	39.7394	+	16.4606i	1.46982	+	0.608818i
$732$	−13.7992	−	46.8408i	−0.510034	−	1.73129i
$733$	30.9236	+	12.8090i	1.14219	+	0.473110i	0.871907	−	0.489672i	$-0.162883\pi$
$733$	30.9236	+	12.8090i	1.14219	+	0.473110i	0.270281	+	0.962781i	$0.412883\pi$
$734$	−13.8064	−	10.3257i	−0.509604	−	0.381130i
$735$	−18.0686	−	4.55895i	−0.666469	−	0.168159i
$736$	−12.4972	+	10.8779i	−0.460654	+	0.400966i
$737$	−14.4777	+	14.4777i	−0.533293	+	0.533293i
$738$	1.76700	+	12.2508i	0.0650440	+	0.450960i
$739$	−3.39245	+	1.40520i	−0.124793	+	0.0516911i	−0.444206	−	0.895925i	$-0.646514\pi$
$739$	−3.39245	+	1.40520i	−0.124793	+	0.0516911i	0.319413	+	0.947616i	$0.396514\pi$
$740$	−20.7924	+	22.4962i	−0.764345	+	0.826977i
$741$	14.3725	−	34.6982i	0.527986	−	1.27467i
$742$	15.0870	+	25.4019i	0.553860	+	0.932532i
$743$	−5.47555			−0.200879			−0.100439	−	0.994943i	$-0.532025\pi$
$743$	−5.47555			−0.200879			−0.100439	+	0.994943i	$0.532025\pi$
$744$	1.03691	+	27.9805i	0.0380149	+	1.02581i
$745$	−40.1310	−	10.1256i	−1.47029	−	0.370973i
$746$	20.3534	−	12.0885i	0.745190	−	0.442592i
$747$	−1.01441	−	2.44900i	−0.0371153	−	0.0896042i
$748$	−26.1431	+	21.1060i	−0.955886	+	0.771712i
$749$	−10.9923	+	4.55315i	−0.401649	+	0.166369i
$750$	−6.67348	−	35.2355i	−0.243681	−	1.28662i
$751$	18.2140			0.664637			0.332318	−	0.943167i	$-0.392169\pi$
$751$	18.2140			0.664637			0.332318	+	0.943167i	$0.392169\pi$
$752$	2.83664	−	13.1530i	0.103442	−	0.479642i
$753$	−15.9529	+	15.9529i	−0.581355	+	0.581355i
$754$	−1.00780	−	6.98722i	−0.0367019	−	0.254459i
$755$	−13.7722	+	18.5031i	−0.501220	+	0.673396i
$756$	−4.44661	−	5.50782i	−0.161722	−	0.200317i
$757$	44.4252	−	18.4015i	1.61466	−	0.668814i	0.621270	−	0.783597i	$-0.286617\pi$
$757$	44.4252	−	18.4015i	1.61466	−	0.668814i	0.993391	+	0.114782i	$0.0366171\pi$
$758$	5.30516	+	1.35154i	0.192692	+	0.0490900i
$759$	−11.8083	+	11.8083i	−0.428613	+	0.428613i
$760$	−35.3529	−	24.3325i	−1.28239	−	0.882633i
$761$	−31.2459	−	31.2459i	−1.13266	−	1.13266i	−0.989733	−	0.142929i	$-0.954348\pi$
$761$	−31.2459	−	31.2459i	−1.13266	−	1.13266i	−0.142929	−	0.989733i	$-0.545652\pi$
$762$	−26.3586	−	44.3798i	−0.954871	−	1.60771i
$763$	2.70845	+	6.53877i	0.0980524	+	0.236719i
$764$	1.51755	+	5.15127i	0.0549032	+	0.186366i
$765$	−31.7046	+	4.64728i	−1.14628	+	0.168023i
$766$	−15.9962	−	11.9635i	−0.577967	−	0.432258i
$767$	−24.0283	−	24.0283i	−0.867612	−	0.867612i
$768$	−24.8233	−	26.4716i	−0.895733	−	0.955211i
$769$			1.65940i			0.0598396i	0.999552	+	0.0299198i	$0.00952519\pi$
$769$			1.65940i			0.0598396i	−0.999552	+	0.0299198i	$0.990475\pi$
$770$	−14.4187	−	1.50363i	−0.519612	−	0.0541872i
$771$	−11.2110	−	27.0657i	−0.403753	−	0.974747i
$772$	0.113656	+	0.0619288i	0.00409056	+	0.00222887i
$773$	45.6560	−	18.9113i	1.64213	−	0.680193i	0.645620	−	0.763659i	$-0.276599\pi$
$773$	45.6560	−	18.9113i	1.64213	−	0.680193i	0.996511	+	0.0834663i	$0.0265991\pi$
$774$	−4.81850	+	18.9140i	−0.173197	+	0.679849i
$775$	−6.26309	−	20.9050i	−0.224977	−	0.750929i
$776$	−48.1347	−	17.8798i	−1.72794	−	0.641848i
$777$			28.3324i			1.01642i
$778$	5.27248	−	20.6960i	0.189028	−	0.741987i
$779$	−25.5891	−	10.5994i	−0.916825	−	0.379761i
$780$	−8.56536	+	23.2223i	−0.306689	+	0.831493i
$781$	6.35514	+	15.3427i	0.227405	+	0.549004i
$782$	−22.1675	−	16.5789i	−0.792709	−	0.592862i
$783$	−2.80741	−	2.80741i	−0.100329	−	0.100329i
$784$	12.3499	−	7.96806i	0.441069	−	0.284574i
$785$	3.18018	+	0.802403i	0.113505	+	0.0286390i
$786$	3.11587	+	21.6028i	0.111140	+	0.770547i
$787$	4.56876	−	11.0300i	0.162859	−	0.393176i	−0.821292	−	0.570508i	$-0.806746\pi$
$787$	4.56876	−	11.0300i	0.162859	−	0.393176i	0.984151	+	0.177332i	$0.0567465\pi$
$788$	32.6791	+	40.4781i	1.16414	+	1.44197i
$789$	−18.1070	+	43.7141i	−0.644626	+	1.55626i
$790$	6.16500	+	20.7509i	0.219341	+	0.738282i
$791$	0.705476	+	0.705476i	0.0250838	+	0.0250838i
$792$	−11.1726	−	10.3741i	−0.397001	−	0.368628i
$793$		−	26.2681i		−	0.932809i
$794$	0.572329	−	2.24655i	0.0203112	−	0.0797272i
$795$	−8.42613	−	57.4847i	−0.298844	−	2.03877i
$796$	−16.6194	−	9.05561i	−0.589060	−	0.320968i
$797$	−16.9223	+	40.8540i	−0.599417	+	1.44712i	0.274759	+	0.961513i	$0.411402\pi$
$797$	−16.9223	+	40.8540i	−0.599417	+	1.44712i	−0.874177	+	0.485608i	$0.838598\pi$
$798$	−39.2871	+	5.66656i	−1.39075	+	0.200594i
$799$	22.4805			0.795304
$800$	23.9116	+	15.1074i	0.845404	+	0.534127i
$801$	−6.16756			−0.217920
$802$	−39.0882	+	5.63788i	−1.38025	+	0.199080i
$803$	−3.54209	+	8.55135i	−0.124997	+	0.301771i
$804$	17.6776	−	32.4431i	0.623441	−	1.14418i
$805$	−1.73216	−	11.8172i	−0.0610508	−	0.416500i
$806$	−3.71843	+	14.5959i	−0.130976	+	0.514118i
$807$			17.1839i			0.604901i
$808$	3.60882	−	0.133737i	0.126958	−	0.00470484i
$809$	−3.75843	−	3.75843i	−0.132140	−	0.132140i	0.637944	−	0.770083i	$-0.279785\pi$
$809$	−3.75843	−	3.75843i	−0.132140	−	0.132140i	−0.770083	+	0.637944i	$0.779785\pi$
$810$	9.75784	+	32.8440i	0.342856	+	1.15402i
$811$	20.2589	−	48.9092i	0.711385	−	1.71744i	0.0148739	−	0.999889i	$-0.495265\pi$
$811$	20.2589	−	48.9092i	0.711385	−	1.71744i	0.696511	−	0.717546i	$-0.254735\pi$
$812$	−5.80536	+	4.68683i	−0.203728	+	0.164475i
$813$	−1.57704	+	3.80731i	−0.0553091	+	0.133528i
$814$	−3.47638	−	24.1023i	−0.121847	−	0.844784i
$815$	43.1889	+	10.8971i	1.51284	+	0.381710i
$816$	34.4899	−	49.8650i	1.20739	−	1.74562i
$817$	−30.8834	−	30.8834i	−1.08047	−	1.08047i
$818$	3.45531	+	2.58420i	0.120812	+	0.0903544i
$819$	3.65166	+	8.81588i	0.127599	+	0.308052i
$820$	17.1259	+	6.31675i	0.598063	+	0.220591i
$821$	−5.09516	−	2.11048i	−0.177822	−	0.0736564i	0.291996	−	0.956420i	$-0.405681\pi$
$821$	−5.09516	−	2.11048i	−0.177822	−	0.0736564i	−0.469818	+	0.882763i	$0.655681\pi$
$822$	−5.18443	+	20.3504i	−0.180828	+	0.709801i
$823$			11.2266i			0.391335i	0.980670	+	0.195668i	$0.0626874\pi$
$823$			11.2266i			0.391335i	−0.980670	+	0.195668i	$0.937313\pi$
$824$	−9.02428	−	19.6905i	−0.314376	−	0.685950i
$825$	25.0955	+	13.5249i	0.873713	+	0.470876i
$826$	−8.86629	+	34.8027i	−0.308498	+	1.21094i
$827$	−25.1892	+	10.4337i	−0.875916	+	0.362816i	−0.774911	−	0.632070i	$-0.782206\pi$
$827$	−25.1892	+	10.4337i	−0.875916	+	0.362816i	−0.101004	+	0.994886i	$0.532206\pi$
$828$	6.00992	−	11.0298i	0.208859	−	0.383312i
$829$	18.1278	+	43.7643i	0.629603	+	1.52000i	0.840117	+	0.542405i	$0.182486\pi$
$829$	18.1278	+	43.7643i	0.629603	+	1.52000i	−0.210514	+	0.977591i	$0.567514\pi$
$830$	−3.88812	−	0.405468i	−0.134959	−	0.0140740i
$831$		−	0.678556i		−	0.0235388i
$832$	−8.78500	−	17.4332i	−0.304565	−	0.604387i
$833$	17.3633	+	17.3633i	0.601601	+	0.601601i
$834$	−1.21725	−	0.910376i	−0.0421501	−	0.0315238i
$835$	−38.4156	+	5.63098i	−1.32943	+	0.194868i
$836$	32.7261	−	9.64105i	1.13186	−	0.333443i
$837$	3.24168	+	7.82610i	0.112049	+	0.270510i
$838$	−12.5098	−	21.0627i	−0.432144	−	0.727598i
$839$	−31.7081	−	31.7081i	−1.09468	−	1.09468i	−0.995021	−	0.0996625i	$-0.968224\pi$
$839$	−31.7081	−	31.7081i	−1.09468	−	1.09468i	−0.0996625	−	0.995021i	$-0.531776\pi$
$840$	25.7249	−	4.74989i	0.887593	−	0.163887i
$841$	17.5470	−	17.5470i	0.605070	−	0.605070i
$842$	7.20978	+	1.83675i	0.248465	+	0.0632987i
$843$	39.0262	−	16.1652i	1.34413	−	0.556759i
$844$	−19.2319	+	15.5264i	−0.661989	+	0.534442i
$845$	9.40641	−	12.6376i	0.323590	−	0.434748i
$846$	1.45625	+	10.0964i	0.0500670	+	0.347122i
$847$	−6.03584	+	6.03584i	−0.207394	+	0.207394i
$848$	37.6864	+	26.0663i	1.29415	+	0.895121i
$849$	−34.0880			−1.16990
$850$	−16.2511	+	44.3734i	−0.557407	+	1.52200i
$851$	18.5353	−	7.67758i	0.635382	−	0.263184i
$852$	−18.8243	−	23.3168i	−0.644909	−	0.798820i
$853$	−13.2578	−	32.0071i	−0.453937	−	1.09590i	−0.970812	−	0.239841i	$-0.922905\pi$
$853$	−13.2578	−	32.0071i	−0.453937	−	1.09590i	0.516875	−	0.856061i	$-0.327095\pi$
$854$	−23.8698	+	14.1771i	−0.816809	+	0.485129i
$855$	31.5480	+	7.95999i	1.07892	+	0.272226i
$856$	−12.5564	+	13.5228i	−0.429168	+	0.462201i
$857$	−7.59255			−0.259357			−0.129678	−	0.991556i	$-0.541394\pi$
$857$	−7.59255			−0.259357			−0.129678	+	0.991556i	$0.541394\pi$
$858$	−10.0476	−	16.9172i	−0.343021	−	0.577542i
$859$	−5.10344	+	12.3208i	−0.174127	+	0.420380i	−0.986715	−	0.162458i	$-0.948058\pi$
$859$	−5.10344	+	12.3208i	−0.174127	+	0.420380i	0.812588	+	0.582838i	$0.198058\pi$
$860$	21.1381	+	19.5372i	0.720805	+	0.666213i
$861$	15.5975	−	6.46070i	0.531562	−	0.220180i
$862$	−5.18145	−	35.9237i	−0.176481	−	1.22357i
$863$	18.3684	−	18.3684i	0.625268	−	0.625268i	−0.321605	−	0.946874i	$-0.604222\pi$
$863$	18.3684	−	18.3684i	0.625268	−	0.625268i	0.946874	+	0.321605i	$0.104222\pi$
$864$	−9.82861	−	4.89240i	−0.334376	−	0.166443i
$865$	−13.9792	−	3.52715i	−0.475307	−	0.119927i
$866$	0.860422	+	0.643504i	0.0292383	+	0.0218671i
$867$	57.9644	+	24.0096i	1.96857	+	0.815410i
$868$	15.2701	−	4.49855i	0.518302	−	0.152691i
$869$	−15.8984	−	6.58532i	−0.539315	−	0.223392i
$870$	14.0647	−	4.17857i	0.476838	−	0.141667i
$871$	14.0537	−	14.0537i	0.476192	−	0.476192i
$872$	8.04407	+	7.46918i	0.272407	+	0.252938i
$873$	38.9283			1.31752
$874$	14.3532	+	24.1664i	0.485505	+	0.817442i
$875$	−18.4761	+	8.62228i	−0.624606	+	0.291486i
$876$	1.77055	−	16.6083i	0.0598214	−	0.561142i
$877$	1.81384	+	0.751316i	0.0612489	+	0.0253701i	0.413098	−	0.910687i	$-0.364447\pi$
$877$	1.81384	+	0.751316i	0.0612489	+	0.0253701i	−0.351849	+	0.936057i	$0.614447\pi$
$878$	−14.7810	−	11.0546i	−0.498835	−	0.373075i
$879$		−	35.3747i		−	1.19316i
$880$	−21.3012	+	7.19715i	−0.718065	+	0.242616i
$881$			22.4610i			0.756732i	0.925656	+	0.378366i	$0.123514\pi$
$881$			22.4610i			0.756732i	−0.925656	+	0.378366i	$0.876486\pi$
$882$	−6.67339	+	8.92291i	−0.224705	+	0.300450i
$883$	−48.6401	−	20.1474i	−1.63687	−	0.678014i	−0.640894	−	0.767630i	$-0.721436\pi$
$883$	−48.6401	−	20.1474i	−1.63687	−	0.678014i	−0.995976	+	0.0896157i	$0.971436\pi$
$884$	25.3775	−	20.4879i	0.853537	−	0.689083i
$885$	42.1689	−	56.6545i	1.41749	−	1.90442i
$886$	33.2386	−	19.7414i	1.11667	−	0.663227i
$887$	9.54383			0.320451			0.160225	−	0.987080i	$-0.448778\pi$
$887$	9.54383			0.320451			0.160225	+	0.987080i	$0.448778\pi$
$888$	18.3081	+	39.9473i	0.614380	+	1.34054i
$889$	−20.7511	+	20.7511i	−0.695971	+	0.695971i
$890$	−4.33353	+	7.99683i	−0.145260	+	0.268054i
$891$	−25.1636	−	10.4231i	−0.843013	−	0.349187i
$892$	0.431235	−	0.791429i	0.0144388	−	0.0264990i
$893$	−21.0890	−	8.73535i	−0.705717	−	0.292317i
$894$	−35.5585	+	47.5449i	−1.18925	+	1.59014i
$895$	9.92701	−	5.92686i	0.331823	−	0.198113i
$896$	−11.1002	+	17.3917i	−0.370832	+	0.581017i
$897$	11.4625	−	11.4625i	0.382720	−	0.382720i
$898$	10.4174	−	1.50255i	0.347633	−	0.0501407i
$899$	8.24888	−	3.41680i	0.275116	−	0.113957i
$900$	−20.9816	−	4.42420i	−0.699387	−	0.147473i
$901$	−29.2974	+	70.7301i	−0.976037	+	2.35636i
$902$	−12.4760	+	7.40990i	−0.415406	+	0.246723i
$903$	26.6220			0.885924
$904$	1.45056	+	0.538815i	0.0482449	+	0.0179207i
$905$	−13.9100	+	55.1299i	−0.462385	+	1.83258i
$906$	16.8963	+	28.4481i	0.561341	+	0.945126i
$907$	13.9489	+	33.6757i	0.463166	+	1.11818i	0.967090	+	0.254434i	$0.0818893\pi$
$907$	13.9489	+	33.6757i	0.463166	+	1.11818i	−0.503924	+	0.863748i	$0.668111\pi$
$908$	17.4860	+	1.86413i	0.580294	+	0.0618632i
$909$	−2.52941	+	1.04771i	−0.0838951	+	0.0347505i
$910$	13.9964	+	1.45960i	0.463976	+	0.0483853i
$911$	−27.6810			−0.917111			−0.458555	−	0.888666i	$-0.651633\pi$
$911$	−27.6810			−0.917111			−0.458555	+	0.888666i	$0.651633\pi$
$912$	−51.7312	+	33.3765i	−1.71299	+	1.10521i
$913$	2.19739	−	2.19739i	0.0727230	−	0.0727230i
$914$	9.63220	−	1.38930i	0.318605	−	0.0459539i
$915$	54.0177	−	7.91793i	1.78577	−	0.261759i
$916$	28.9294	+	3.08407i	0.955856	+	0.101901i
$917$	11.4646	−	4.74879i	0.378594	−	0.156819i
$918$	4.52838	−	17.7752i	0.149459	−	0.586669i
$919$	21.1056	−	21.1056i	0.696210	−	0.696210i	−0.267381	−	0.963591i	$-0.586158\pi$
$919$	21.1056	−	21.1056i	0.696210	−	0.696210i	0.963591	+	0.267381i	$0.0861583\pi$
$920$	−10.0784	−	15.5423i	−0.332275	−	0.512415i
$921$	38.9741	+	38.9741i	1.28424	+	1.28424i
$922$	44.1981	−	26.2507i	1.45559	−	0.864519i
$923$	−6.16903	−	14.8933i	−0.203056	−	0.490220i
$924$	−9.94984	+	18.2606i	−0.327326	+	0.600729i
$925$	−21.6363	−	26.5495i	−0.711399	−	0.872942i
$926$	−12.3843	+	16.5589i	−0.406972	+	0.544158i
$927$	11.6113	+	11.6113i	0.381366	+	0.381366i
$928$	−5.15670	+	10.3596i	−0.169277	+	0.340070i
$929$		−	0.803203i		−	0.0263522i	−0.999913	−	0.0131761i	$-0.995806\pi$
$929$		−	0.803203i		−	0.0263522i	0.999913	−	0.0131761i	$-0.00419421\pi$
$930$	−31.1357	−	3.24696i	−1.02098	−	0.106472i
$931$	−9.54158	−	23.0354i	−0.312713	−	0.754955i
$932$	−6.08355	+	1.79220i	−0.199273	+	0.0587055i
$933$	−56.7757	+	23.5173i	−1.85875	+	0.769921i
$934$	−8.88996	−	2.26479i	−0.290889	−	0.0741063i
$935$	−19.2571	−	32.2540i	−0.629773	−	1.05482i
$936$	10.8454	+	10.0703i	0.354493	+	0.329158i
$937$		−	39.8003i		−	1.30022i	−0.759840	−	0.650110i	$-0.774723\pi$
$937$		−	39.8003i		−	1.30022i	0.759840	−	0.650110i	$-0.225277\pi$
$938$	−20.3555	−	5.18573i	−0.664630	−	0.169320i
$939$	63.6685	+	26.3723i	2.07774	+	0.860629i
$940$	14.1142	+	5.20589i	0.460353	+	0.169797i
$941$	7.33770	+	17.7148i	0.239202	+	0.577485i	0.997201	−	0.0747711i	$-0.0238226\pi$
$941$	7.33770	+	17.7148i	0.239202	+	0.577485i	−0.757999	+	0.652256i	$0.773823\pi$
$942$	2.81783	−	3.76769i	0.0918099	−	0.122758i
$943$	−8.45330	−	8.45330i	−0.275277	−	0.275277i
$944$	9.98815	+	54.7995i	0.325087	+	1.78357i
$945$	6.79527	−	4.05707i	0.221050	−	0.131977i
$946$	−22.6472	+	3.26652i	−0.736325	+	0.106204i
$947$	−9.12853	+	22.0382i	−0.296637	+	0.716146i	0.703348	+	0.710845i	$0.251687\pi$
$947$	−9.12853	+	22.0382i	−0.296637	+	0.716146i	−0.999986	+	0.00530103i	$0.998313\pi$
$948$	30.8775	+	3.29175i	1.00286	+	0.106911i
$949$	3.43836	−	8.30092i	0.111614	−	0.269459i
$950$	32.4875	−	35.3120i	1.05403	−	1.14567i
$951$	−19.7389	−	19.7389i	−0.640079	−	0.640079i
$952$	−32.3137	−	12.0030i	−1.04729	−	0.389021i
$953$		−	23.2769i		−	0.754013i	−0.926211	−	0.377006i	$-0.876953\pi$
$953$		−	23.2769i		−	0.754013i	0.926211	−	0.377006i	$-0.123047\pi$
$954$	−33.6640	−	8.57619i	−1.08991	−	0.277664i
$955$	−5.94054	+	0.870766i	−0.192231	+	0.0281773i
$956$	−5.64719	−	19.1691i	−0.182643	−	0.619974i
$957$	−4.46346	+	10.7757i	−0.144283	+	0.348330i
$958$	3.71011	+	25.7227i	0.119868	+	0.831064i
$959$	11.9396			0.385549
$960$	33.2015	−	23.3203i	1.07157	−	0.752659i
$961$	11.9502			0.385492
$962$	3.37458	+	23.3964i	0.108801	+	0.754331i
$963$	5.35374	−	12.9251i	0.172522	−	0.416505i
$964$	−2.82683	−	9.59555i	−0.0910461	−	0.309052i
$965$	−0.0864033	+	0.116084i	−0.00278142	+	0.00373687i
$966$	−16.6023	−	4.22957i	−0.534169	−	0.136084i
$967$			22.8538i			0.734928i	0.930038	+	0.367464i	$0.119774\pi$
$967$			22.8538i			0.734928i	−0.930038	+	0.367464i	$0.880226\pi$
$968$	−4.60994	+	12.4106i	−0.148169	+	0.398890i
$969$	−72.7311	−	72.7311i	−2.33646	−	2.33646i
$970$	27.3523	−	50.4743i	0.878229	−	1.62063i
$971$	−10.1954	+	24.6138i	−0.327185	+	0.789895i	0.671614	+	0.740901i	$0.265601\pi$
$971$	−10.1954	+	24.6138i	−0.327185	+	0.789895i	−0.998799	+	0.0489935i	$0.984399\pi$
$972$	37.2930	+	3.97568i	1.19617	+	0.127520i
$973$	−0.330715	+	0.798417i	−0.0106022	+	0.0255961i
$974$	34.4593	−	4.97022i	1.10415	−	0.159256i
$975$	−24.3606	−	13.1288i	−0.780162	−	0.420459i
$976$	−24.4942	+	35.4134i	−0.784041	+	1.13356i
$977$	13.9131	+	13.9131i	0.445118	+	0.445118i	0.893728	−	0.448610i	$-0.148081\pi$
$977$	13.9131	+	13.9131i	0.445118	+	0.445118i	−0.448610	+	0.893728i	$0.648081\pi$
$978$	38.2680	−	51.1677i	1.22367	−	1.63616i
$979$	−2.76695	−	6.68001i	−0.0884322	−	0.213494i
$980$	6.88047	+	14.9222i	0.219789	+	0.476672i
$981$	−7.68850	−	3.18468i	−0.245475	−	0.101679i
$982$	41.5034	+	10.5733i	1.32443	+	0.337409i
$983$		−	38.7998i		−	1.23752i	−0.785580	−	0.618761i	$-0.787635\pi$
$983$		−	38.7998i		−	1.23752i	0.785580	−	0.618761i	$-0.212365\pi$
$984$	17.8169	−	19.1882i	0.567982	−	0.611699i
$985$	−49.9399	+	29.8163i	−1.59122	+	0.950026i
$986$	−18.7354	−	4.77302i	−0.596658	−	0.152004i
$987$	12.8545	−	5.32452i	0.409164	−	0.169481i
$988$	−31.7677	+	9.35871i	−1.01067	+	0.297740i
$989$	−7.21409	−	17.4164i	−0.229395	−	0.553808i
$990$	13.2384	−	10.7381i	0.420744	−	0.341278i
$991$			46.6196i			1.48092i	0.672101	+	0.740460i	$0.265392\pi$
$991$			46.6196i			1.48092i	−0.672101	+	0.740460i	$0.734608\pi$
$992$	18.6232	−	16.2101i	0.591287	−	0.514672i
$993$	5.12465	+	5.12465i	0.162626	+	0.162626i
$994$	−10.2041	+	13.6438i	−0.323655	+	0.432755i
$995$	12.6344	−	16.9745i	0.400538	−	0.538128i
$996$	−2.68306	+	4.92412i	−0.0850160	+	0.156027i
$997$	−8.50942	−	20.5436i	−0.269496	−	0.650621i	0.729964	−	0.683486i	$-0.239537\pi$
$997$	−8.50942	−	20.5436i	−0.269496	−	0.650621i	−0.999460	+	0.0328648i	$0.989537\pi$
$998$	−40.4578	+	24.0292i	−1.28067	+	0.760630i
$999$	9.40049	+	9.40049i	0.297418	+	0.297418i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	160.2.u.a.43.11	✓	88
4.3	odd	2		640.2.u.a.463.5		88
5.2	odd	4		160.2.ba.a.107.21	yes	88
5.3	odd	4		800.2.bb.b.107.2		88
5.4	even	2		800.2.v.b.43.12		88
20.7	even	4		640.2.ba.a.207.18		88
32.3	odd	8		160.2.ba.a.3.21	yes	88
32.29	even	8		640.2.ba.a.303.18		88
160.3	even	8		800.2.v.b.707.12		88
160.67	even	8	inner	160.2.u.a.67.11	yes	88
160.99	odd	8		800.2.bb.b.643.2		88
160.157	odd	8		640.2.u.a.47.5		88

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
160.2.u.a.43.11	✓	88	1.1	even	1	trivial
160.2.u.a.67.11	yes	88	160.67	even	8	inner
160.2.ba.a.3.21	yes	88	32.3	odd	8
160.2.ba.a.107.21	yes	88	5.2	odd	4
640.2.u.a.47.5		88	160.157	odd	8
640.2.u.a.463.5		88	4.3	odd	2
640.2.ba.a.207.18		88	20.7	even	4
640.2.ba.a.303.18		88	32.29	even	8
800.2.v.b.43.12		88	5.4	even	2
800.2.v.b.707.12		88	160.3	even	8
800.2.bb.b.107.2		88	5.3	odd	4
800.2.bb.b.643.2		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)

\(f(q)\)	\(=\)	\(q+(-0.201889 - 1.39973i) q^{2} +(0.867966 - 2.09546i) q^{3} +(-1.91848 + 0.565181i) q^{4} +(-0.324298 - 2.21243i) q^{5} +(-3.10830 - 0.791867i) q^{6} +1.82364i q^{7} +(1.17842 + 2.57125i) q^{8} +(-1.51625 - 1.51625i) q^{9} +O(q^{10})\)	\(q+(-0.201889 - 1.39973i) q^{2} +(0.867966 - 2.09546i) q^{3} +(-1.91848 + 0.565181i) q^{4} +(-0.324298 - 2.21243i) q^{5} +(-3.10830 - 0.791867i) q^{6} +1.82364i q^{7} +(1.17842 + 2.57125i) q^{8} +(-1.51625 - 1.51625i) q^{9} +(-3.03132 + 0.900595i) q^{10} +(0.961996 - 2.32246i) q^{11} +(-0.480865 + 4.51065i) q^{12} +(-0.933824 + 2.25445i) q^{13} +(2.55261 - 0.368174i) q^{14} +(-4.91752 - 1.24076i) q^{15} +(3.36114 - 2.16858i) q^{16} +(4.72557 + 4.72557i) q^{17} +(-1.81622 + 2.42845i) q^{18} +(-2.59683 - 6.26929i) q^{19} +(1.87258 + 4.06121i) q^{20} +(3.82136 + 1.58286i) q^{21} +(-3.44504 - 0.877653i) q^{22} -2.92890i q^{23} +(6.41077 - 0.237572i) q^{24} +(-4.78966 + 1.43497i) q^{25} +(3.34415 + 0.851950i) q^{26} +(1.79308 - 0.742720i) q^{27} +(-1.03069 - 3.49863i) q^{28} +(-0.782843 - 1.88995i) q^{29} +(-0.743929 + 7.13369i) q^{30} +4.36460i q^{31} +(-3.71400 - 4.26687i) q^{32} +(-4.03164 - 4.03164i) q^{33} +(5.66047 - 7.56855i) q^{34} +(4.03468 - 0.591405i) q^{35} +(3.76585 + 2.05194i) q^{36} +(2.62132 + 6.32842i) q^{37} +(-8.25104 + 4.90056i) q^{38} +(3.91357 + 3.91357i) q^{39} +(5.30654 - 3.44102i) q^{40} +(2.88617 - 2.88617i) q^{41} +(1.44408 - 5.66844i) q^{42} +(5.94638 - 2.46307i) q^{43} +(-0.532959 + 4.99931i) q^{44} +(-2.86287 + 3.84630i) q^{45} +(-4.09966 + 0.591314i) q^{46} +(2.37861 - 2.37861i) q^{47} +(-1.62680 - 8.92537i) q^{48} +3.67432 q^{49} +(2.97555 + 6.41452i) q^{50} +(14.0038 - 5.80058i) q^{51} +(0.517351 - 4.85290i) q^{52} +(4.38389 + 10.5837i) q^{53} +(-1.40161 - 2.35988i) q^{54} +(-5.45025 - 1.37517i) q^{55} +(-4.68904 + 2.14902i) q^{56} -15.3910 q^{57} +(-2.48737 + 1.47733i) q^{58} +(-5.32909 + 12.8656i) q^{59} +(10.1354 - 0.398918i) q^{60} +(-9.94533 + 4.11949i) q^{61} +(6.10926 - 0.881167i) q^{62} +(2.76510 - 2.76510i) q^{63} +(-5.22265 + 6.06003i) q^{64} +(5.29064 + 1.33490i) q^{65} +(-4.82926 + 6.45715i) q^{66} +(-7.52483 - 3.11689i) q^{67} +(-11.7367 - 6.39511i) q^{68} +(-6.13738 - 2.54218i) q^{69} +(-1.64237 - 5.52806i) q^{70} +(-4.67129 + 4.67129i) q^{71} +(2.11187 - 5.68543i) q^{72} -3.68202 q^{73} +(8.32886 - 4.94678i) q^{74} +(-1.15034 + 11.2820i) q^{75} +(8.52525 + 10.5598i) q^{76} +(4.23535 + 1.75434i) q^{77} +(4.68783 - 6.26805i) q^{78} -6.84547i q^{79} +(-5.88783 - 6.73301i) q^{80} -10.8349i q^{81} +(-4.62254 - 3.45717i) q^{82} +(1.14210 + 0.473073i) q^{83} +(-8.22582 - 0.876926i) q^{84} +(8.92247 - 11.9875i) q^{85} +(-4.64814 - 7.82605i) q^{86} -4.63979 q^{87} +(7.10527 - 0.263309i) q^{88} +(2.03382 - 2.03382i) q^{89} +(5.96177 + 3.23071i) q^{90} +(-4.11131 - 1.70296i) q^{91} +(1.65536 + 5.61904i) q^{92} +(9.14583 + 3.78833i) q^{93} +(-3.80962 - 2.84919i) q^{94} +(-13.0282 + 7.77841i) q^{95} +(-12.1647 + 4.07902i) q^{96} +(-12.8371 + 12.8371i) q^{97} +(-0.741807 - 5.14306i) q^{98} +(-4.98006 + 2.06281i) 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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