LMFDB - Embedded newform 170.2.o.a.57.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [170,2,Mod(3,170)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(170, base_ring=CyclotomicField(16))

chi = DirichletCharacter(H, H._module([12, 1]))

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

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

chi := DirichletCharacter("170.3");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 170 = 2 \cdot 5 \cdot 17 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	170.o (of order $16$, degree $8$, 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:	$1.35745683436$
Analytic rank:	$0$
Dimension:	$32$
Relative dimension:	$4$ over $\Q(\zeta_{16})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label			57.4
Character	$\chi$	$=$	170.57
Dual form			170.2.o.a.3.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.382683 - 0.923880i) q^{2} +(1.56304 - 2.33925i) q^{3} +(-0.707107 + 0.707107i) q^{4} +(-2.19349 + 0.434263i) q^{5} +(-2.75933 - 0.548865i) q^{6} +(0.254312 - 1.27851i) q^{7} +(0.923880 + 0.382683i) q^{8} +(-1.88095 - 4.54102i) q^{9} +O(q^{10})$	\(q+(-0.382683 - 0.923880i) q^{2} +(1.56304 - 2.33925i) q^{3} +(-0.707107 + 0.707107i) q^{4} +(-2.19349 + 0.434263i) q^{5} +(-2.75933 - 0.548865i) q^{6} +(0.254312 - 1.27851i) q^{7} +(0.923880 + 0.382683i) q^{8} +(-1.88095 - 4.54102i) q^{9} +(1.24062 + 1.86034i) q^{10} +(1.14054 - 5.73386i) q^{11} +(0.548865 + 2.75933i) q^{12} +5.33794i q^{13} +(-1.27851 + 0.254312i) q^{14} +(-2.41266 + 5.80990i) q^{15} -1.00000i q^{16} +(1.22423 + 3.93717i) q^{17} +(-3.47555 + 3.47555i) q^{18} +(-0.311731 + 0.752584i) q^{19} +(1.24396 - 1.85810i) q^{20} +(-2.59326 - 2.59326i) q^{21} +(-5.73386 + 1.14054i) q^{22} +(5.82170 - 3.88994i) q^{23} +(2.33925 - 1.56304i) q^{24} +(4.62283 - 1.90511i) q^{25} +(4.93161 - 2.04274i) q^{26} +(-5.28458 - 1.05117i) q^{27} +(0.724218 + 1.08387i) q^{28} +(-1.17050 + 1.75178i) q^{29} +(6.29093 + 0.00565639i) q^{30} +(0.301321 + 1.51484i) q^{31} +(-0.923880 + 0.382683i) q^{32} +(-11.6302 - 11.6302i) q^{33} +(3.16897 - 2.63773i) q^{34} +(-0.00262084 + 2.91484i) q^{35} +(4.54102 + 1.88095i) q^{36} +(5.79208 + 3.87014i) q^{37} +0.814591 q^{38} +(12.4868 + 8.34339i) q^{39} +(-2.19271 - 0.438207i) q^{40} +(-4.40455 - 6.59188i) q^{41} +(-1.40346 + 3.38825i) q^{42} +(-0.544211 + 1.31384i) q^{43} +(3.24797 + 4.86093i) q^{44} +(6.09786 + 9.14388i) q^{45} +(-5.82170 - 3.88994i) q^{46} -0.109944 q^{47} +(-2.33925 - 1.56304i) q^{48} +(4.89724 + 2.02850i) q^{49} +(-3.52917 - 3.54189i) q^{50} +(11.1235 + 3.29016i) q^{51} +(-3.77449 - 3.77449i) q^{52} +(0.915351 - 0.379151i) q^{53} +(1.05117 + 5.28458i) q^{54} +(-0.0117539 + 13.0725i) q^{55} +(0.724218 - 1.08387i) q^{56} +(1.27324 + 1.90553i) q^{57} +(2.06637 + 0.411026i) q^{58} +(-5.08359 + 2.10569i) q^{59} +(-2.40221 - 5.81423i) q^{60} +(-4.82682 + 3.22518i) q^{61} +(1.28422 - 0.858089i) q^{62} +(-6.28410 + 1.24998i) q^{63} +(0.707107 + 0.707107i) q^{64} +(-2.31807 - 11.7087i) q^{65} +(-6.29423 + 15.1956i) q^{66} +(-4.12405 + 4.12405i) q^{67} +(-3.64966 - 1.91834i) q^{68} -19.6985i q^{69} +(2.69397 - 1.11304i) q^{70} +(-5.38952 + 1.07204i) q^{71} -4.91517i q^{72} +(1.59643 + 8.02579i) q^{73} +(1.35901 - 6.83222i) q^{74} +(2.76913 - 13.7917i) q^{75} +(-0.311731 - 0.752584i) q^{76} +(-7.04075 - 2.91637i) q^{77} +(2.92981 - 14.7291i) q^{78} +(-5.01247 - 0.997043i) q^{79} +(0.434263 + 2.19349i) q^{80} +(-0.292298 + 0.292298i) q^{81} +(-4.40455 + 6.59188i) q^{82} +(0.987480 + 2.38399i) q^{83} +3.66742 q^{84} +(-4.39510 - 8.10451i) q^{85} +1.42209 q^{86} +(2.26832 + 5.47620i) q^{87} +(3.24797 - 4.86093i) q^{88} +(0.779290 - 0.779290i) q^{89} +(6.11429 - 9.13290i) q^{90} +(6.82461 + 1.35750i) q^{91} +(-1.36596 + 6.86717i) q^{92} +(4.01457 + 1.66289i) q^{93} +(0.0420738 + 0.101575i) q^{94} +(0.356960 - 1.78616i) q^{95} +(-0.548865 + 2.75933i) q^{96} +(-2.93692 - 14.7649i) q^{97} -5.30073i q^{98} +(-28.1829 + 5.60592i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 32 q+O(q^{10}) $ 32 * q	$ 32 q + 8 q^{10} - 40 q^{15} + 16 q^{18} + 8 q^{20} - 8 q^{25} + 8 q^{26} - 72 q^{27} + 8 q^{28} + 8 q^{29} - 16 q^{31} - 64 q^{33} - 24 q^{34} + 32 q^{35} + 16 q^{37} + 32 q^{39} - 8 q^{40} + 16 q^{41} - 40 q^{42} + 48 q^{43} + 16 q^{44} + 24 q^{45} - 64 q^{47} + 16 q^{49} + 32 q^{50} + 32 q^{51} - 16 q^{52} - 24 q^{54} + 8 q^{55} + 8 q^{56} - 8 q^{57} - 16 q^{58} + 64 q^{59} - 48 q^{60} - 24 q^{61} - 24 q^{62} - 24 q^{63} - 16 q^{65} - 16 q^{67} - 16 q^{68} + 24 q^{70} + 8 q^{71} + 16 q^{73} - 8 q^{74} - 8 q^{75} + 40 q^{77} + 48 q^{78} - 72 q^{79} + 8 q^{80} + 48 q^{81} + 16 q^{82} + 16 q^{83} - 8 q^{85} - 64 q^{86} + 24 q^{87} + 16 q^{88} - 16 q^{89} + 48 q^{90} + 48 q^{91} + 8 q^{92} + 8 q^{93} - 8 q^{94} + 40 q^{95} + 16 q^{97} + 64 q^{99}+O(q^{100}) $ 32 * q + 8 * q^10 - 40 * q^15 + 16 * q^18 + 8 * q^20 - 8 * q^25 + 8 * q^26 - 72 * q^27 + 8 * q^28 + 8 * q^29 - 16 * q^31 - 64 * q^33 - 24 * q^34 + 32 * q^35 + 16 * q^37 + 32 * q^39 - 8 * q^40 + 16 * q^41 - 40 * q^42 + 48 * q^43 + 16 * q^44 + 24 * q^45 - 64 * q^47 + 16 * q^49 + 32 * q^50 + 32 * q^51 - 16 * q^52 - 24 * q^54 + 8 * q^55 + 8 * q^56 - 8 * q^57 - 16 * q^58 + 64 * q^59 - 48 * q^60 - 24 * q^61 - 24 * q^62 - 24 * q^63 - 16 * q^65 - 16 * q^67 - 16 * q^68 + 24 * q^70 + 8 * q^71 + 16 * q^73 - 8 * q^74 - 8 * q^75 + 40 * q^77 + 48 * q^78 - 72 * q^79 + 8 * q^80 + 48 * q^81 + 16 * q^82 + 16 * q^83 - 8 * q^85 - 64 * q^86 + 24 * q^87 + 16 * q^88 - 16 * q^89 + 48 * q^90 + 48 * q^91 + 8 * q^92 + 8 * q^93 - 8 * q^94 + 40 * q^95 + 16 * q^97 + 64 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/170\mathbb{Z}\right)^\times$.

$n$	$71$	$137$
$\chi(n)$	$e\left(\frac{15}{16}\right)$	$e\left(\frac{1}{4}\right)$

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 $

$2$	−0.382683	−	0.923880i	−0.270598	−	0.653281i
$2$	−0.382683	−	0.923880i	−0.270598	−	0.653281i
$3$	1.56304	−	2.33925i	0.902419	−	1.35057i	−0.0339033	−	0.999425i	$-0.510794\pi$
$3$	1.56304	−	2.33925i	0.902419	−	1.35057i	0.936323	−	0.351141i	$-0.114206\pi$
$4$	−0.707107	+	0.707107i	−0.353553	+	0.353553i
$5$	−2.19349	+	0.434263i	−0.980960	+	0.194208i
$5$	−2.19349	+	0.434263i	−0.980960	+	0.194208i
$6$	−2.75933	−	0.548865i	−1.12649	−	0.224073i
$7$	0.254312	−	1.27851i	0.0961208	−	0.483232i	−0.902498	−	0.430694i	$-0.858269\pi$
$7$	0.254312	−	1.27851i	0.0961208	−	0.483232i	0.998619	−	0.0525381i	$-0.0167311\pi$
$8$	0.923880	+	0.382683i	0.326641	+	0.135299i
$9$	−1.88095	−	4.54102i	−0.626984	−	1.51367i
$10$	1.24062	+	1.86034i	0.392319	+	0.588291i
$11$	1.14054	−	5.73386i	0.343884	−	1.72882i	−0.291450	−	0.956586i	$-0.594138\pi$
$11$	1.14054	−	5.73386i	0.343884	−	1.72882i	0.635335	−	0.772237i	$-0.280862\pi$
$12$	0.548865	+	2.75933i	0.158444	+	0.796551i
$13$			5.33794i			1.48048i	0.672344	+	0.740239i	$0.265288\pi$
$13$			5.33794i			1.48048i	−0.672344	+	0.740239i	$0.734712\pi$
$14$	−1.27851	+	0.254312i	−0.341696	+	0.0679677i
$15$	−2.41266	+	5.80990i	−0.622946	+	1.50011i
$16$		−	1.00000i		−	0.250000i
$17$	1.22423	+	3.93717i	0.296919	+	0.954903i
$17$	1.22423	+	3.93717i	0.296919	+	0.954903i
$18$	−3.47555	+	3.47555i	−0.819195	+	0.819195i
$19$	−0.311731	+	0.752584i	−0.0715159	+	0.172655i	−0.955595	−	0.294682i	$-0.904786\pi$
$19$	−0.311731	+	0.752584i	−0.0715159	+	0.172655i	0.884080	+	0.467336i	$0.154786\pi$
$20$	1.24396	−	1.85810i	0.278159	−	0.415485i
$21$	−2.59326	−	2.59326i	−0.565895	−	0.565895i
$22$	−5.73386	+	1.14054i	−1.22246	+	0.243163i
$23$	5.82170	−	3.88994i	1.21391	−	0.811108i	0.227239	−	0.973839i	$-0.427030\pi$
$23$	5.82170	−	3.88994i	1.21391	−	0.811108i	0.986670	+	0.162731i	$0.0520303\pi$
$24$	2.33925	−	1.56304i	0.477497	−	0.319053i
$25$	4.62283	−	1.90511i	0.924566	−	0.381021i
$26$	4.93161	−	2.04274i	0.967168	−	0.400614i
$27$	−5.28458	−	1.05117i	−1.01702	−	0.202298i
$28$	0.724218	+	1.08387i	0.136864	+	0.204832i
$29$	−1.17050	+	1.75178i	−0.217357	+	0.325298i	−0.924085	−	0.382188i	$-0.875171\pi$
$29$	−1.17050	+	1.75178i	−0.217357	+	0.325298i	0.706727	+	0.707486i	$0.250171\pi$
$30$	6.29093	+	0.00565639i	1.14856	+	0.00103271i
$31$	0.301321	+	1.51484i	0.0541188	+	0.272074i	0.998365	−	0.0571677i	$-0.0182070\pi$
$31$	0.301321	+	1.51484i	0.0541188	+	0.272074i	−0.944246	+	0.329241i	$0.893207\pi$
$32$	−0.923880	+	0.382683i	−0.163320	+	0.0676495i
$33$	−11.6302	−	11.6302i	−2.02456	−	2.02456i
$34$	3.16897	−	2.63773i	0.543475	−	0.452366i
$35$	−0.00262084	+	2.91484i	−0.000443002	+	0.492699i
$36$	4.54102	+	1.88095i	0.756837	+	0.313492i
$37$	5.79208	+	3.87014i	0.952212	+	0.636248i	0.931579	−	0.363539i	$-0.118432\pi$
$37$	5.79208	+	3.87014i	0.952212	+	0.636248i	0.0206333	+	0.999787i	$0.493432\pi$
$38$	0.814591			0.132144
$39$	12.4868	+	8.34339i	1.99948	+	1.33601i
$40$	−2.19271	−	0.438207i	−0.346698	−	0.0692866i
$41$	−4.40455	−	6.59188i	−0.687876	−	1.02948i	−0.996920	−	0.0784311i	$-0.975009\pi$
$41$	−4.40455	−	6.59188i	−0.687876	−	1.02948i	0.309044	−	0.951048i	$-0.399991\pi$
$42$	−1.40346	+	3.38825i	−0.216559	+	0.522819i
$43$	−0.544211	+	1.31384i	−0.0829914	+	0.200359i	−0.959928	−	0.280248i	$-0.909583\pi$
$43$	−0.544211	+	1.31384i	−0.0829914	+	0.200359i	0.876936	+	0.480607i	$0.159583\pi$
$44$	3.24797	+	4.86093i	0.489650	+	0.732813i
$45$	6.09786	+	9.14388i	0.909015	+	1.36309i
$46$	−5.82170	−	3.88994i	−0.858363	−	0.573540i
$47$	−0.109944			−0.0160370			−0.00801850	−	0.999968i	$-0.502552\pi$
$47$	−0.109944			−0.0160370			−0.00801850	+	0.999968i	$0.502552\pi$
$48$	−2.33925	−	1.56304i	−0.337642	−	0.225605i
$49$	4.89724	+	2.02850i	0.699606	+	0.289786i
$50$	−3.52917	−	3.54189i	−0.499100	−	0.500898i
$51$	11.1235	+	3.29016i	1.55760	+	0.460715i
$52$	−3.77449	−	3.77449i	−0.523428	−	0.523428i
$53$	0.915351	−	0.379151i	0.125733	−	0.0520804i	−0.318930	−	0.947778i	$-0.603323\pi$
$53$	0.915351	−	0.379151i	0.125733	−	0.0520804i	0.444663	+	0.895698i	$0.353323\pi$
$54$	1.05117	+	5.28458i	0.143046	+	0.719141i
$55$	−0.0117539	+	13.0725i	−0.00158490	+	1.76269i
$56$	0.724218	−	1.08387i	0.0967778	−	0.144838i
$57$	1.27324	+	1.90553i	0.168644	+	0.252394i
$58$	2.06637	+	0.411026i	0.271328	+	0.0539704i
$59$	−5.08359	+	2.10569i	−0.661827	+	0.274138i	−0.688207	−	0.725514i	$-0.741602\pi$
$59$	−5.08359	+	2.10569i	−0.661827	+	0.274138i	0.0263799	+	0.999652i	$0.491602\pi$
$60$	−2.40221	−	5.81423i	−0.310124	−	0.750613i
$61$	−4.82682	+	3.22518i	−0.618011	+	0.412942i	−0.824785	−	0.565447i	$-0.808704\pi$
$61$	−4.82682	+	3.22518i	−0.618011	+	0.412942i	0.206774	+	0.978389i	$0.433704\pi$
$62$	1.28422	−	0.858089i	0.163096	−	0.108977i
$63$	−6.28410	+	1.24998i	−0.791722	+	0.157483i
$64$	0.707107	+	0.707107i	0.0883883	+	0.0883883i
$65$	−2.31807	−	11.7087i	−0.287521	−	1.45229i
$66$	−6.29423	+	15.1956i	−0.774766	+	1.87045i
$67$	−4.12405	+	4.12405i	−0.503833	+	0.503833i	−0.912627	−	0.408794i	$-0.865950\pi$
$67$	−4.12405	+	4.12405i	−0.503833	+	0.503833i	0.408794	+	0.912627i	$0.365950\pi$
$68$	−3.64966	−	1.91834i	−0.442586	−	0.232633i
$69$		−	19.6985i		−	2.37142i
$70$	2.69397	−	1.11304i	0.321991	−	0.133034i
$71$	−5.38952	+	1.07204i	−0.639618	+	0.127228i	−0.504237	−	0.863566i	$-0.668226\pi$
$71$	−5.38952	+	1.07204i	−0.639618	+	0.127228i	−0.135382	+	0.990794i	$0.543226\pi$
$72$		−	4.91517i		−	0.579258i
$73$	1.59643	+	8.02579i	0.186848	+	0.939348i	0.954439	+	0.298407i	$0.0964554\pi$
$73$	1.59643	+	8.02579i	0.186848	+	0.939348i	−0.767591	+	0.640940i	$0.778545\pi$
$74$	1.35901	−	6.83222i	0.157982	−	0.794230i
$75$	2.76913	−	13.7917i	0.319752	−	1.59253i
$76$	−0.311731	−	0.752584i	−0.0357580	−	0.0863273i
$77$	−7.04075	−	2.91637i	−0.802368	−	0.332352i
$78$	2.92981	−	14.7291i	0.331736	−	1.66775i
$79$	−5.01247	−	0.997043i	−0.563947	−	0.112176i	−0.0951198	−	0.995466i	$-0.530323\pi$
$79$	−5.01247	−	0.997043i	−0.563947	−	0.112176i	−0.468828	+	0.883290i	$0.655323\pi$
$80$	0.434263	+	2.19349i	0.0485521	+	0.245240i
$81$	−0.292298	+	0.292298i	−0.0324776	+	0.0324776i
$82$	−4.40455	+	6.59188i	−0.486402	+	0.727952i
$83$	0.987480	+	2.38399i	0.108390	+	0.261677i	0.968763	−	0.247988i	$-0.0797694\pi$
$83$	0.987480	+	2.38399i	0.108390	+	0.261677i	−0.860373	+	0.509665i	$0.829769\pi$
$84$	3.66742			0.400148
$85$	−4.39510	−	8.10451i	−0.476716	−	0.879058i
$86$	1.42209			0.153348
$87$	2.26832	+	5.47620i	0.243189	+	0.587110i
$88$	3.24797	−	4.86093i	0.346235	−	0.518177i
$89$	0.779290	−	0.779290i	0.0826045	−	0.0826045i	−0.664597	−	0.747202i	$-0.731397\pi$
$89$	0.779290	−	0.779290i	0.0826045	−	0.0826045i	0.747202	+	0.664597i	$0.231397\pi$
$90$	6.11429	−	9.13290i	0.644503	−	0.962692i
$91$	6.82461	+	1.35750i	0.715414	+	0.142305i
$92$	−1.36596	+	6.86717i	−0.142412	+	0.715952i
$93$	4.01457	+	1.66289i	0.416291	+	0.172434i
$94$	0.0420738	+	0.101575i	0.00433958	+	0.0104767i
$95$	0.356960	−	1.78616i	0.0366233	−	0.183256i
$96$	−0.548865	+	2.75933i	−0.0560183	+	0.281623i
$97$	−2.93692	−	14.7649i	−0.298199	−	1.49915i	−0.781617	−	0.623758i	$-0.785605\pi$
$97$	−2.93692	−	14.7649i	−0.298199	−	1.49915i	0.483418	−	0.875389i	$-0.339395\pi$
$98$		−	5.30073i		−	0.535455i
$99$	−28.1829	+	5.60592i	−2.83249	+	0.563416i
$100$	−1.92172	+	4.61595i	−0.192172	+	0.461595i
$101$			6.75581i			0.672228i	0.941821	+	0.336114i	$0.109113\pi$
$101$			6.75581i			0.672228i	−0.941821	+	0.336114i	$0.890887\pi$
$102$	−1.21708	−	11.5359i	−0.120508	−	1.14222i
$103$	−4.75400	+	4.75400i	−0.468426	+	0.468426i	−0.901404	−	0.432978i	$-0.857463\pi$
$103$	−4.75400	+	4.75400i	−0.468426	+	0.468426i	0.432978	+	0.901404i	$0.357463\pi$
$104$	−2.04274	+	4.93161i	−0.200307	+	0.483584i
$105$	6.81445	+	4.56214i	0.665022	+	0.445219i
$106$	−0.700579	−	0.700579i	−0.0680463	−	0.0680463i
$107$	−16.4030	+	3.26275i	−1.58573	+	0.315422i	−0.907704	−	0.419611i	$-0.862166\pi$
$107$	−16.4030	+	3.26275i	−1.58573	+	0.315422i	−0.678031	+	0.735033i	$0.737166\pi$
$108$	4.48005	−	2.99348i	0.431093	−	0.288047i
$109$	−2.02154	+	1.35075i	−0.193628	+	0.129378i	−0.648605	−	0.761125i	$-0.724647\pi$
$109$	−2.02154	+	1.35075i	−0.193628	+	0.129378i	0.454977	+	0.890503i	$0.349647\pi$
$110$	12.0819	−	4.99176i	1.15196	−	0.475946i
$111$	18.1065	−	7.49994i	1.71859	−	0.711863i
$112$	−1.27851	−	0.254312i	−0.120808	−	0.0240302i
$113$	6.28548	+	9.40688i	0.591288	+	0.884925i	0.999610	−	0.0279127i	$-0.00888606\pi$
$113$	6.28548	+	9.40688i	0.591288	+	0.884925i	−0.408322	+	0.912838i	$0.633886\pi$
$114$	1.27324	−	1.90553i	0.119249	−	0.178469i
$115$	−11.0806	+	11.0607i	−1.03327	+	1.03142i
$116$	−0.411026	−	2.06637i	−0.0381628	−	0.191858i
$117$	24.2397	−	10.0404i	2.24096	−	0.928236i
$118$	3.89081	+	3.89081i	0.358178	+	0.358178i
$119$	5.34504	−	0.563921i	0.489979	−	0.0516945i
$120$	−4.45236	+	4.44436i	−0.406443	+	0.405713i
$121$	−21.4136	−	8.86981i	−1.94669	−	0.806347i
$122$	4.82682	+	3.22518i	0.437000	+	0.291994i
$123$	−22.3045			−2.01113
$124$	−1.28422	−	0.858089i	−0.115326	−	0.0770587i
$125$	−9.31283	+	6.18637i	−0.832965	+	0.553325i
$126$	3.55966	+	5.32740i	0.317119	+	0.474603i
$127$	1.36362	−	3.29207i	0.121002	−	0.292124i	−0.851760	−	0.523933i	$-0.824464\pi$
$127$	1.36362	−	3.29207i	0.121002	−	0.292124i	0.972761	+	0.231809i	$0.0744643\pi$
$128$	0.382683	−	0.923880i	0.0338248	−	0.0816602i
$129$	2.22278	+	3.32663i	0.195705	+	0.292893i
$130$	−9.93037	+	6.62236i	−0.870951	+	0.580819i
$131$	9.80467	+	6.55127i	0.856638	+	0.572387i	0.904503	−	0.426467i	$-0.140242\pi$
$131$	9.80467	+	6.55127i	0.856638	+	0.572387i	−0.0478655	+	0.998854i	$0.515242\pi$
$132$	16.4476			1.43158
$133$	0.882911	+	0.589942i	0.0765581	+	0.0511545i
$134$	5.38834	+	2.23192i	0.465481	+	0.192809i
$135$	12.0482	+	0.0108329i	1.03694	+	0.000932351i
$136$	−0.375650	+	4.10596i	−0.0322117	+	0.352083i
$137$	9.59397	+	9.59397i	0.819668	+	0.819668i	0.986060	−	0.166391i	$-0.0532115\pi$
$137$	9.59397	+	9.59397i	0.819668	+	0.819668i	−0.166391	+	0.986060i	$0.553212\pi$
$138$	−18.1991	+	7.53830i	−1.54921	+	0.641703i
$139$	2.01112	+	10.1106i	0.170581	+	0.857570i	0.967381	+	0.253326i	$0.0815246\pi$
$139$	2.01112	+	10.1106i	0.170581	+	0.857570i	−0.796800	+	0.604244i	$0.793475\pi$
$140$	−2.05925	−	2.06296i	−0.174039	−	0.174352i
$141$	−0.171847	+	0.257187i	−0.0144721	+	0.0216590i
$142$	3.05292	+	4.56901i	0.256195	+	0.383423i
$143$	30.6070	+	6.08810i	2.55948	+	0.509113i
$144$	−4.54102	+	1.88095i	−0.378419	+	0.156746i
$145$	1.80676	−	4.35083i	0.150043	−	0.361317i
$146$	6.80394	−	4.54625i	0.563098	−	0.376250i
$147$	12.3997	−	8.28524i	1.02271	−	0.683355i
$148$	−6.83222	+	1.35901i	−0.561605	+	0.111710i
$149$	−13.6274	−	13.6274i	−1.11640	−	1.11640i	−0.992265	−	0.124139i	$-0.960383\pi$
$149$	−13.6274	−	13.6274i	−1.11640	−	1.11640i	−0.124139	−	0.992265i	$-0.539617\pi$
$150$	−13.8016	+	2.71951i	−1.12689	+	0.222047i
$151$	3.26423	−	7.88055i	0.265639	−	0.641310i	−0.733629	−	0.679550i	$-0.762175\pi$
$151$	3.26423	−	7.88055i	0.265639	−	0.641310i	0.999269	+	0.0382398i	$0.0121751\pi$
$152$	−0.576003	+	0.576003i	−0.0467200	+	0.0467200i
$153$	15.5760	−	12.9649i	1.25925	−	1.04815i
$154$			7.62085i			0.614106i
$155$	−1.31879	−	3.19195i	−0.105927	−	0.256383i
$156$	−14.7291	+	2.92981i	−1.17928	+	0.234572i
$157$		−	0.880010i		−	0.0702324i	−0.999383	−	0.0351162i	$-0.988820\pi$
$157$		−	0.880010i		−	0.0702324i	0.999383	−	0.0351162i	$-0.0111801\pi$
$158$	0.997043	+	5.01247i	0.0793205	+	0.398771i
$159$	0.543799	−	2.73386i	0.0431260	−	0.216809i
$160$	1.86034	−	1.24062i	0.147073	−	0.0980797i
$161$	−3.49280	−	8.43237i	−0.275271	−	0.664564i
$162$	0.381906	+	0.158191i	0.0300054	+	0.0124286i
$163$	1.32917	−	6.68221i	0.104109	−	0.523391i	−0.893173	−	0.449713i	$-0.851526\pi$
$163$	1.32917	−	6.68221i	0.104109	−	0.523391i	0.997282	−	0.0736779i	$-0.0234737\pi$
$164$	7.77565	+	1.54667i	0.607177	+	0.120775i
$165$	30.5614	+	20.4602i	2.37920	+	1.59283i
$166$	1.82463	−	1.82463i	0.141618	−	0.141618i
$167$	7.45689	−	11.1600i	0.577032	−	0.863589i	−0.422044	−	0.906575i	$-0.638687\pi$
$167$	7.45689	−	11.1600i	0.577032	−	0.863589i	0.999076	+	0.0429863i	$0.0136872\pi$
$168$	−1.40346	−	3.38825i	−0.108279	−	0.261409i
$169$	−15.4936			−1.19181
$170$	−5.80566	+	7.16200i	−0.445274	+	0.549301i
$171$	4.00385			0.306182
$172$	−0.544211	−	1.31384i	−0.0414957	−	0.100180i
$173$	−13.1343	+	19.6568i	−0.998580	+	1.49448i	−0.134635	+	0.990895i	$0.542986\pi$
$173$	−13.1343	+	19.6568i	−0.998580	+	1.49448i	−0.863945	+	0.503585i	$0.832014\pi$
$174$	4.19130	−	4.19130i	0.317742	−	0.317742i
$175$	−1.26006	−	6.39483i	−0.0952516	−	0.483404i
$176$	−5.73386	−	1.14054i	−0.432206	−	0.0859711i
$177$	−3.02010	+	15.1831i	−0.227005	+	1.14123i
$178$	−1.01819	−	0.421748i	−0.0763166	−	0.0316114i
$179$	−9.49226	−	22.9163i	−0.709485	−	1.71285i	−0.701284	−	0.712882i	$-0.747390\pi$
$179$	−9.49226	−	22.9163i	−0.709485	−	1.71285i	−0.00820077	−	0.999966i	$-0.502610\pi$
$180$	−10.7775	−	2.15386i	−0.803310	−	0.160539i
$181$	−1.10723	+	5.56640i	−0.0822995	+	0.413747i	0.917570	+	0.397575i	$0.130148\pi$
$181$	−1.10723	+	5.56640i	−0.0822995	+	0.413747i	−0.999869	+	0.0161726i	$0.994852\pi$
$182$	−1.35750	−	6.82461i	−0.100625	−	0.505874i
$183$			16.3322i			1.20731i
$184$	6.86717	−	1.36596i	0.506254	−	0.100700i
$185$	−14.3856	−	5.97385i	−1.05765	−	0.439206i
$186$		−	4.34534i		−	0.318616i
$187$	23.9714	−	2.52907i	1.75296	−	0.184944i
$188$	0.0777423	−	0.0777423i	0.00566994	−	0.00566994i
$189$	−2.68786	+	6.48908i	−0.195513	+	0.472011i
$190$	−1.78680	+	0.353747i	−0.129628	+	0.0256635i
$191$	−0.202904	−	0.202904i	−0.0146816	−	0.0146816i	0.699728	−	0.714409i	$-0.253305\pi$
$191$	−0.202904	−	0.202904i	−0.0146816	−	0.0146816i	−0.714409	+	0.699728i	$0.753305\pi$
$192$	2.75933	−	0.548865i	0.199138	−	0.0396109i
$193$	20.3846	−	13.6206i	1.46732	−	0.980429i	0.472223	−	0.881479i	$-0.343452\pi$
$193$	20.3846	−	13.6206i	1.46732	−	0.980429i	0.995092	−	0.0989501i	$-0.0315484\pi$
$194$	−12.5171	+	8.36364i	−0.898673	+	0.600474i
$195$	−31.0129	−	12.8786i	−2.22088	−	0.922258i
$196$	−4.89724	+	2.02850i	−0.349803	+	0.144893i
$197$	2.46774	+	0.490864i	0.175819	+	0.0349726i	0.282215	−	0.959351i	$-0.408931\pi$
$197$	2.46774	+	0.490864i	0.175819	+	0.0349726i	−0.106396	+	0.994324i	$0.533931\pi$
$198$	15.9643	+	23.8923i	1.13453	+	1.69795i
$199$	7.18214	−	10.7488i	0.509128	−	0.761964i	−0.484485	−	0.874799i	$-0.660993\pi$
$199$	7.18214	−	10.7488i	0.509128	−	0.761964i	0.993614	+	0.112835i	$0.0359931\pi$
$200$	4.99999	+	0.00899134i	0.353553	+	0.000635784i
$201$	3.20114	+	16.0932i	0.225791	+	1.13513i
$202$	6.24155	−	2.58533i	0.439154	−	0.181904i
$203$	1.94200	+	1.94200i	0.136302	+	0.136302i
$204$	−10.1920	+	5.53902i	−0.713584	+	0.387809i
$205$	12.5240	+	12.5465i	0.874712	+	0.876287i
$206$	6.21141	+	2.57285i	0.432769	+	0.179259i
$207$	−28.6146	−	19.1197i	−1.98886	−	1.32891i
$208$	5.33794			0.370119
$209$	3.95967	+	2.64577i	0.273896	+	0.183012i
$210$	1.60709	−	8.04159i	0.110900	−	0.554922i
$211$	7.92328	+	11.8580i	0.545461	+	0.816340i	0.997119	−	0.0758509i	$-0.0241673\pi$
$211$	7.92328	+	11.8580i	0.545461	+	0.816340i	−0.451658	+	0.892191i	$0.649167\pi$
$212$	−0.379151	+	0.915351i	−0.0260402	+	0.0628666i
$213$	−5.91624	+	14.2831i	−0.405374	+	0.978660i
$214$	9.29153	+	13.9058i	0.635156	+	0.950578i
$215$	0.623171	−	3.11823i	0.0424999	−	0.212662i
$216$	−4.48005	−	2.99348i	−0.304829	−	0.203680i
$217$	2.01337			0.136677
$218$	2.02154	+	1.35075i	0.136916	+	0.0914842i
$219$	21.2696	+	8.81016i	1.43727	+	0.595335i
$220$	−9.23532	−	9.25195i	−0.622645	−	0.623766i
$221$	−21.0163	+	6.53485i	−1.41371	+	0.439581i
$222$	−13.8581	−	13.8581i	−0.930094	−	0.930094i
$223$	−12.6106	+	5.22346i	−0.844465	+	0.349789i	−0.762613	−	0.646856i	$-0.776084\pi$
$223$	−12.6106	+	5.22346i	−0.844465	+	0.349789i	−0.0818526	+	0.996644i	$0.526084\pi$
$224$	0.254312	+	1.27851i	0.0169919	+	0.0854241i
$225$	−17.3465	−	17.4090i	−1.15643	−	1.16060i
$226$	6.28548	−	9.40688i	0.418104	−	0.625737i
$227$	−4.38201	−	6.55814i	−0.290844	−	0.435279i	0.657058	−	0.753840i	$-0.271801\pi$
$227$	−4.38201	−	6.55814i	−0.290844	−	0.435279i	−0.947902	+	0.318561i	$0.896801\pi$
$228$	−2.24773	−	0.447101i	−0.148859	−	0.0296100i
$229$	9.79199	−	4.05598i	0.647073	−	0.268026i	−0.0349144	−	0.999390i	$-0.511116\pi$
$229$	9.79199	−	4.05598i	0.647073	−	0.268026i	0.681987	+	0.731364i	$0.261116\pi$
$230$	14.4591	+	6.00440i	0.953407	+	0.395919i
$231$	−17.8271	+	11.9117i	−1.17294	+	0.783730i
$232$	−1.75178	+	1.17050i	−0.115010	+	0.0768474i
$233$	2.34162	−	0.465778i	0.153405	−	0.0305141i	−0.117790	−	0.993038i	$-0.537581\pi$
$233$	2.34162	−	0.465778i	0.153405	−	0.0305141i	0.271195	+	0.962524i	$0.412581\pi$
$234$	−18.5523	−	18.5523i	−1.21280	−	1.21280i
$235$	0.241162	−	0.0477447i	0.0157317	−	0.00311452i
$236$	2.10569	−	5.08359i	0.137069	−	0.330914i
$237$	−10.1670	+	10.1670i	−0.660418	+	0.660418i
$238$	−2.56645	−	4.72237i	−0.166359	−	0.306106i
$239$			10.4783i			0.677786i	0.940825	+	0.338893i	$0.110053\pi$
$239$			10.4783i			0.677786i	−0.940825	+	0.338893i	$0.889947\pi$
$240$	5.80990	+	2.41266i	0.375027	+	0.155737i
$241$	6.35785	−	1.26466i	0.409545	−	0.0814636i	0.0139818	−	0.999902i	$-0.495549\pi$
$241$	6.35785	−	1.26466i	0.409545	−	0.0814636i	0.395564	+	0.918439i	$0.370549\pi$
$242$			23.1779i			1.48993i
$243$	−2.92662	−	14.7131i	−0.187743	−	0.943847i
$244$	1.13253	−	5.69362i	0.0725029	−	0.364497i
$245$	−11.6230	−	2.32282i	−0.742564	−	0.148399i
$246$	8.53557	+	20.6067i	0.544208	+	1.31384i
$247$	−4.01725	−	1.66400i	−0.255611	−	0.105878i
$248$	−0.301321	+	1.51484i	−0.0191339	+	0.0961926i
$249$	7.12021	+	1.41630i	0.451225	+	0.0897542i
$250$	9.27932	+	6.23652i	0.586876	+	0.394432i
$251$	15.4336	−	15.4336i	0.974160	−	0.974160i	−0.0255144	−	0.999674i	$-0.508122\pi$
$251$	15.4336	−	15.4336i	0.974160	−	0.974160i	0.999674	+	0.0255144i	$0.00812236\pi$
$252$	3.55966	−	5.32740i	0.224237	−	0.335595i
$253$	−15.6645	−	37.8174i	−0.984818	−	2.37756i
$254$	−3.56331			−0.223582
$255$	−25.8282	−	2.38641i	−1.61742	−	0.149443i
$256$	−1.00000			−0.0625000
$257$	3.71392	+	8.96619i	0.231668	+	0.559296i	0.996374	−	0.0850837i	$-0.0271158\pi$
$257$	3.71392	+	8.96619i	0.231668	+	0.559296i	−0.764706	+	0.644379i	$0.777116\pi$
$258$	2.22278	−	3.32663i	0.138384	−	0.207107i
$259$	6.42102	−	6.42102i	0.398983	−	0.398983i
$260$	9.91845	+	6.64020i	0.615116	+	0.411808i
$261$	10.1566	+	2.02026i	0.628675	+	0.125051i
$262$	2.30050	−	11.5654i	0.142125	−	0.714512i
$263$	14.7991	+	6.13000i	0.912553	+	0.377992i	0.789033	−	0.614350i	$-0.210582\pi$
$263$	14.7991	+	6.13000i	0.912553	+	0.377992i	0.123520	+	0.992342i	$0.460582\pi$
$264$	−6.29423	−	15.1956i	−0.387383	−	0.935226i
$265$	−1.84317	+	1.22917i	−0.113225	+	0.0755072i
$266$	0.207160	−	1.04146i	0.0127018	−	0.0638563i
$267$	−0.604895	−	3.04101i	−0.0370189	−	0.186107i
$268$		−	5.83229i		−	0.356264i
$269$	16.1671	−	3.21583i	0.985724	−	0.196073i	0.324194	−	0.945991i	$-0.394907\pi$
$269$	16.1671	−	3.21583i	0.985724	−	0.196073i	0.661531	+	0.749918i	$0.269907\pi$
$270$	−4.60063	−	11.1352i	−0.279986	−	0.677668i
$271$			5.17301i			0.314238i	0.987580	+	0.157119i	$0.0502206\pi$
$271$			5.17301i			0.314238i	−0.987580	+	0.157119i	$0.949779\pi$
$272$	3.93717	−	1.22423i	0.238726	−	0.0742297i
$273$	13.8426	−	13.8426i	0.837795	−	0.837795i
$274$	5.19222	−	12.5351i	0.313673	−	0.757275i
$275$	−5.65111	−	28.6795i	−0.340775	−	1.72944i
$276$	13.9290	+	13.9290i	0.838425	+	0.838425i
$277$	20.2746	−	4.03287i	1.21818	−	0.242312i	0.456182	−	0.889886i	$-0.349217\pi$
$277$	20.2746	−	4.03287i	1.21818	−	0.242312i	0.762002	+	0.647575i	$0.224217\pi$
$278$	8.57135	−	5.72719i	0.514076	−	0.343494i
$279$	6.31216	−	4.21765i	0.377899	−	0.252504i
$280$	−1.11788	+	2.69196i	−0.0668064	+	0.160876i
$281$	−1.20815	+	0.500433i	−0.0720724	+	0.0298534i	−0.418428	−	0.908250i	$-0.637419\pi$
$281$	−1.20815	+	0.500433i	−0.0720724	+	0.0298534i	0.346356	+	0.938103i	$0.387419\pi$
$282$	0.303372	+	0.0603445i	0.0180656	+	0.00359347i
$283$	−2.53325	−	3.79127i	−0.150586	−	0.225368i	0.748506	−	0.663128i	$-0.230772\pi$
$283$	−2.53325	−	3.79127i	−0.150586	−	0.225368i	−0.899091	+	0.437761i	$0.855772\pi$
$284$	3.05292	−	4.56901i	0.181157	−	0.271121i
$285$	−3.62034	−	3.62685i	−0.214450	−	0.214836i
$286$	−6.08810	−	30.6070i	−0.359997	−	1.80983i
$287$	−9.54792	+	3.95488i	−0.563596	+	0.233449i
$288$	3.47555	+	3.47555i	0.204799	+	0.204799i
$289$	−14.0025	+	9.63997i	−0.823679	+	0.567057i
$290$	−4.71106	−	0.00423588i	−0.276643	−	0.000248739i
$291$	−39.1293	−	16.2079i	−2.29380	−	0.950122i
$292$	−6.80394	−	4.54625i	−0.398170	−	0.266049i
$293$	−31.2813			−1.82747			−0.913735	−	0.406310i	$-0.866815\pi$
$293$	−31.2813			−1.82747			−0.913735	+	0.406310i	$0.866815\pi$
$294$	−12.3997	−	8.28524i	−0.723167	−	0.483205i
$295$	10.2364	−	6.82644i	0.595986	−	0.397451i
$296$	3.87014	+	5.79208i	0.224948	+	0.336658i
$297$	−12.0545	+	29.1022i	−0.699474	+	1.68868i
$298$	−7.37512	+	17.8051i	−0.427229	+	1.03142i
$299$	20.7642	+	31.0759i	1.20083	+	1.79716i
$300$	7.79414	+	11.7103i	0.449995	+	0.676093i
$301$	1.54136	+	1.02991i	0.0888426	+	0.0593628i
$302$	−8.52985			−0.490838
$303$	15.8035	+	10.5596i	0.907888	+	0.606631i
$304$	0.752584	+	0.311731i	0.0431637	+	0.0178790i
$305$	9.18703	−	9.17052i	0.526048	−	0.525102i
$306$	−17.9387	−	9.42895i	−1.02549	−	0.539017i
$307$	−12.1175	−	12.1175i	−0.691579	−	0.691579i	0.271000	−	0.962579i	$-0.412646\pi$
$307$	−12.1175	−	12.1175i	−0.691579	−	0.691579i	−0.962579	+	0.271000i	$0.912646\pi$
$308$	7.04075	−	2.91637i	0.401184	−	0.166176i
$309$	3.69012	+	18.5515i	0.209924	+	1.05536i
$310$	−2.44430	+	2.43990i	−0.138827	+	0.138577i
$311$	−3.04967	+	4.56416i	−0.172931	+	0.258810i	−0.907804	−	0.419396i	$-0.862242\pi$
$311$	−3.04967	+	4.56416i	−0.172931	+	0.258810i	0.734872	+	0.678205i	$0.237242\pi$
$312$	8.34339	+	12.4868i	0.472351	+	0.706924i
$313$	−6.28639	−	1.25044i	−0.355328	−	0.0706791i	0.0141989	−	0.999899i	$-0.495480\pi$
$313$	−6.28639	−	1.25044i	−0.355328	−	0.0706791i	−0.369527	+	0.929220i	$0.620480\pi$
$314$	−0.813023	+	0.336765i	−0.0458815	+	0.0190048i
$315$	13.2413	−	5.47079i	0.746063	−	0.308244i
$316$	4.24937	−	2.83934i	0.239046	−	0.159725i
$317$	−16.0464	+	10.7218i	−0.901254	+	0.602199i	−0.917529	−	0.397669i	$-0.869819\pi$
$317$	−16.0464	+	10.7218i	−0.901254	+	0.602199i	0.0162752	+	0.999868i	$0.494819\pi$
$318$	−2.73386	+	0.543799i	−0.153307	+	0.0304947i
$319$	8.70947	+	8.70947i	0.487637	+	0.487637i
$320$	−1.85810	−	1.24396i	−0.103871	−	0.0695397i
$321$	−18.0060	+	43.4704i	−1.00500	+	2.42628i
$322$	−6.45386	+	6.45386i	−0.359659	+	0.359659i
$323$	−3.34468	−	0.306001i	−0.186103	−	0.0170263i
$324$		−	0.413372i		−	0.0229651i
$325$	10.1693	+	24.6764i	0.564094	+	1.36880i
$326$	−6.68221	+	1.32917i	−0.370093	+	0.0736161i
$327$			6.84014i			0.378261i
$328$	−1.54667	−	7.77565i	−0.0854008	−	0.429339i
$329$	−0.0279601	+	0.140565i	−0.00154149	+	0.00774959i
$330$	7.20746	−	36.0648i	0.396758	−	1.98530i
$331$	−5.53455	−	13.3616i	−0.304207	−	0.734420i	−0.999871	−	0.0160529i	$-0.994890\pi$
$331$	−5.53455	−	13.3616i	−0.304207	−	0.734420i	0.695665	−	0.718367i	$-0.255110\pi$
$332$	−2.38399	−	0.987480i	−0.130838	−	0.0541950i
$333$	6.67978	−	33.5815i	0.366050	−	1.84026i
$334$	−13.1642	−	2.61851i	−0.720310	−	0.143279i
$335$	7.25516	−	10.8370i	0.396392	−	0.592089i
$336$	−2.59326	+	2.59326i	−0.141474	+	0.141474i
$337$	4.77956	−	7.15312i	0.260359	−	0.389655i	−0.678142	−	0.734931i	$-0.737215\pi$
$337$	4.77956	−	7.15312i	0.260359	−	0.389655i	0.938501	+	0.345276i	$0.112215\pi$
$338$	5.92913	+	14.3142i	0.322502	+	0.778590i
$339$	31.8295			1.72874
$340$	8.83856	+	2.62295i	0.479338	+	0.142249i
$341$	9.02956			0.488978
$342$	−1.53221	−	3.69908i	−0.0828523	−	0.200023i
$343$	8.90842	−	13.3324i	0.481009	−	0.719881i
$344$	−1.00557	+	1.00557i	−0.0542168	+	0.0542168i
$345$	8.55434	+	43.2086i	0.460550	+	2.32627i
$346$	23.1868	+	4.61214i	1.24653	+	0.247950i
$347$	−6.64863	+	33.4249i	−0.356917	+	1.79434i	0.217802	+	0.975993i	$0.430111\pi$
$347$	−6.64863	+	33.4249i	−0.356917	+	1.79434i	−0.574720	+	0.818350i	$0.694889\pi$
$348$	−5.47620	−	2.26832i	−0.293555	−	0.121595i
$349$	−2.62113	−	6.32796i	−0.140306	−	0.338728i	0.838070	−	0.545562i	$-0.183684\pi$
$349$	−2.62113	−	6.32796i	−0.140306	−	0.338728i	−0.978376	+	0.206834i	$0.933684\pi$
$350$	−5.42585	+	3.61134i	−0.290024	+	0.193034i
$351$	5.61108	−	28.2088i	0.299497	−	1.50567i
$352$	1.14054	+	5.73386i	0.0607907	+	0.305616i
$353$			23.7210i			1.26254i	0.775563	+	0.631270i	$0.217466\pi$
$353$			23.7210i			1.26254i	−0.775563	+	0.631270i	$0.782534\pi$
$354$	15.1831	−	3.02010i	0.806971	−	0.160516i
$355$	11.3563	−	4.69199i	0.602732	−	0.249025i
$356$			1.10208i			0.0584102i
$357$	7.03535	−	13.3848i	0.372350	−	0.708400i
$358$	−17.5394	+	17.5394i	−0.926987	+	0.926987i
$359$	−10.0001	+	24.1423i	−0.527783	+	1.27418i	0.405189	+	0.914233i	$0.367206\pi$
$359$	−10.0001	+	24.1423i	−0.527783	+	1.27418i	−0.932972	+	0.359948i	$0.882794\pi$
$360$	2.13448	+	10.7814i	0.112497	+	0.568229i
$361$	12.9658	+	12.9658i	0.682412	+	0.682412i
$362$	5.56640	−	1.10723i	0.292564	−	0.0581945i
$363$	−54.2190	+	36.2280i	−2.84576	+	1.90147i
$364$	−5.78563	+	3.86583i	−0.303249	+	0.202625i
$365$	−6.98706	−	16.9113i	−0.365720	−	0.885175i
$366$	15.0890	−	6.25006i	0.788714	−	0.326696i
$367$	14.9598	+	2.97569i	0.780894	+	0.155330i	0.569412	−	0.822052i	$-0.307171\pi$
$367$	14.9598	+	2.97569i	0.780894	+	0.155330i	0.211482	+	0.977382i	$0.432171\pi$
$368$	−3.88994	−	5.82170i	−0.202777	−	0.303477i
$369$	−21.6491	+	32.4002i	−1.12701	+	1.68669i
$370$	−0.0140055	+	15.5766i	−0.000728110	+	0.809790i
$371$	−0.251964	−	1.26671i	−0.0130813	−	0.0657643i
$372$	−4.01457	+	1.66289i	−0.208146	+	0.0862168i
$373$	3.61554	+	3.61554i	0.187206	+	0.187206i	0.794487	−	0.607281i	$-0.207740\pi$
$373$	3.61554	+	3.61554i	0.187206	+	0.187206i	−0.607281	+	0.794487i	$0.707740\pi$
$374$	−11.5100	−	21.1789i	−0.595169	−	1.09513i
$375$	−0.0848458	+	31.4546i	−0.00438142	+	1.62431i
$376$	−0.101575	−	0.0420738i	−0.00523834	−	0.00216979i
$377$	−9.35091	−	6.24808i	−0.481596	−	0.321792i
$378$	7.02373			0.361261
$379$	−20.5807	−	13.7516i	−1.05716	−	0.706372i	−0.0997236	−	0.995015i	$-0.531796\pi$
$379$	−20.5807	−	13.7516i	−1.05716	−	0.706372i	−0.957437	+	0.288643i	$0.906796\pi$
$380$	1.01060	+	1.51542i	0.0518426	+	0.0777392i
$381$	−5.56959	−	8.33548i	−0.285339	−	0.427039i
$382$	−0.109811	+	0.265107i	−0.00561842	+	0.0135641i
$383$	6.42058	−	15.5006i	0.328076	−	0.792046i	−0.670659	−	0.741766i	$-0.733989\pi$
$383$	6.42058	−	15.5006i	0.328076	−	0.792046i	0.998735	−	0.0502803i	$-0.0160115\pi$
$384$	−1.56304	−	2.33925i	−0.0797634	−	0.119374i
$385$	16.7103	+	3.33951i	0.851636	+	0.170197i
$386$	−20.3846	−	13.6206i	−1.03755	−	0.693268i
$387$	6.98982			0.355313
$388$	12.5171	+	8.36364i	0.635458	+	0.424599i
$389$	−10.3937	−	4.30522i	−0.526983	−	0.218283i	0.103298	−	0.994650i	$-0.467060\pi$
$389$	−10.3937	−	4.30522i	−0.526983	−	0.218283i	−0.630281	+	0.776367i	$0.717060\pi$
$390$	−0.0301935	+	33.5806i	−0.00152891	+	1.70042i
$391$	22.4424	+	18.1588i	1.13496	+	0.918332i
$392$	3.74819	+	3.74819i	0.189312	+	0.189312i
$393$	30.6501	−	12.6957i	1.54609	−	0.640413i
$394$	−0.490864	−	2.46774i	−0.0247294	−	0.124323i
$395$	11.4278	+	0.0102751i	0.574995	+	0.000516998i
$396$	15.9643	−	23.8923i	0.802237	−	1.20063i
$397$	−20.7302	−	31.0249i	−1.04042	−	1.55710i	−0.812107	−	0.583508i	$-0.801680\pi$
$397$	−20.7302	−	31.0249i	−1.04042	−	1.55710i	−0.228311	−	0.973588i	$-0.573320\pi$
$398$	−12.6791	−	2.52203i	−0.635546	−	0.126418i
$399$	2.76004	−	1.14325i	0.138175	−	0.0572339i
$400$	−1.90511	−	4.62283i	−0.0952554	−	0.231142i
$401$	−3.29578	+	2.20217i	−0.164583	+	0.109971i	−0.635134	−	0.772402i	$-0.719055\pi$
$401$	−3.29578	+	2.20217i	−0.164583	+	0.109971i	0.470551	+	0.882373i	$0.344055\pi$
$402$	13.6432	−	9.11608i	0.680460	−	0.454669i
$403$	−8.08613	+	1.60843i	−0.402799	+	0.0801217i
$404$	−4.77708	−	4.77708i	−0.237668	−	0.237668i
$405$	0.514220	−	0.768089i	0.0255518	−	0.0381666i
$406$	1.05100	−	2.53735i	0.0521604	−	0.125926i
$407$	28.7969	−	28.7969i	1.42741	−	1.42741i
$408$	9.01770	+	7.29650i	0.446443	+	0.361230i
$409$			0.304764i			0.0150696i	0.999972	+	0.00753480i	$0.00239842\pi$
$409$			0.304764i			0.0150696i	−0.999972	+	0.00753480i	$0.997602\pi$
$410$	6.79875	−	16.3720i	0.335766	−	0.808555i
$411$	37.4384	−	7.44696i	1.84670	−	0.367332i
$412$		−	6.72318i		−	0.331227i
$413$	1.39933	+	7.03493i	0.0688568	+	0.346166i
$414$	−6.71394	+	33.7533i	−0.329972	+	1.65888i
$415$	−3.20131	−	4.80044i	−0.157146	−	0.235644i
$416$	−2.04274	−	4.93161i	−0.100154	−	0.241792i
$417$	26.7947	+	11.0987i	1.31214	+	0.543506i
$418$	0.929070	−	4.67075i	0.0454423	−	0.228454i
$419$	−35.8559	−	7.13218i	−1.75168	−	0.348430i	−0.788035	−	0.615631i	$-0.788901\pi$
$419$	−35.8559	−	7.13218i	−1.75168	−	0.348430i	−0.963641	+	0.267201i	$0.913901\pi$
$420$	−8.04446	+	1.59263i	−0.392530	+	0.0777122i
$421$	15.7246	−	15.7246i	0.766371	−	0.766371i	−0.211095	−	0.977466i	$-0.567703\pi$
$421$	15.7246	−	15.7246i	0.766371	−	0.766371i	0.977466	+	0.211095i	$0.0677029\pi$
$422$	7.92328	−	11.8580i	0.385699	−	0.577240i
$423$	0.206800	+	0.499259i	0.0100550	+	0.0242748i
$424$	0.990769			0.0481160
$425$	13.1601	+	15.8686i	0.638359	+	0.769738i
$426$	15.4599			0.749034
$427$	2.89591	+	6.99134i	0.140143	+	0.338335i
$428$	9.29153	−	13.9058i	0.449123	−	0.672160i
$429$	62.0814	−	62.0814i	2.99732	−	2.99732i
$430$	−3.11935	+	0.617562i	−0.150428	+	0.0297815i
$431$	−34.8166	−	6.92546i	−1.67706	−	0.333588i	−0.737336	−	0.675526i	$-0.763916\pi$
$431$	−34.8166	−	6.92546i	−1.67706	−	0.333588i	−0.939722	+	0.341939i	$0.888916\pi$
$432$	−1.05117	+	5.28458i	−0.0505744	+	0.254255i
$433$	4.35002	+	1.80184i	0.209048	+	0.0865907i	0.484751	−	0.874652i	$-0.338910\pi$
$433$	4.35002	+	1.80184i	0.209048	+	0.0865907i	−0.275702	+	0.961243i	$0.588910\pi$
$434$	−0.770484	−	1.86011i	−0.0369844	−	0.0892883i
$435$	−7.35365	−	11.0270i	−0.352581	−	0.528703i
$436$	0.474319	−	2.38457i	0.0227158	−	0.114200i
$437$	1.11270	+	5.59393i	0.0532278	+	0.267594i
$438$		−	23.0220i		−	1.10004i
$439$	−16.6816	+	3.31818i	−0.796170	+	0.158368i	−0.576383	−	0.817180i	$-0.695536\pi$
$439$	−16.6816	+	3.31818i	−0.796170	+	0.158368i	−0.219787	+	0.975548i	$0.570536\pi$
$440$	−5.01348	+	12.0729i	−0.239008	+	0.575553i
$441$		−	26.0540i		−	1.24067i
$442$	14.0800	+	16.9158i	0.669718	+	0.804602i
$443$	8.08098	−	8.08098i	0.383939	−	0.383939i	−0.488580	−	0.872519i	$-0.662485\pi$
$443$	8.08098	−	8.08098i	0.383939	−	0.383939i	0.872519	+	0.488580i	$0.162485\pi$
$444$	−7.49994	+	18.1065i	−0.355931	+	0.859295i
$445$	−1.37095	+	2.04778i	−0.0649893	+	0.0970743i
$446$	9.65170	+	9.65170i	0.457021	+	0.457021i
$447$	−53.1782	+	10.5778i	−2.51524	+	0.500313i
$448$	1.08387	−	0.724218i	0.0512080	−	0.0342161i
$449$	9.49028	−	6.34120i	0.447874	−	0.299260i	−0.311104	−	0.950376i	$-0.600699\pi$
$449$	9.49028	−	6.34120i	0.447874	−	0.299260i	0.758978	+	0.651116i	$0.225699\pi$
$450$	−9.44558	+	22.6882i	−0.445269	+	1.06953i
$451$	−42.8205	+	17.7368i	−2.01634	+	0.835194i
$452$	−11.0962	−	2.20717i	−0.521920	−	0.103816i
$453$	−13.3325	−	19.9534i	−0.626414	−	0.937494i
$454$	−4.38201	+	6.55814i	−0.205658	+	0.307789i
$455$	−15.5593	−	0.0139899i	−0.729429	−	0.000655855i
$456$	0.447101	+	2.24773i	0.0209374	+	0.105260i
$457$	−7.42458	+	3.07536i	−0.347307	+	0.143859i	−0.549516	−	0.835483i	$-0.685188\pi$
$457$	−7.42458	+	3.07536i	−0.347307	+	0.143859i	0.202209	+	0.979342i	$0.435188\pi$
$458$	−7.49447	−	7.49447i	−0.350193	−	0.350193i
$459$	−2.33090	−	22.0932i	−0.108797	−	1.03122i
$460$	0.0140771	−	15.6563i	0.000656348	−	0.729978i
$461$	32.2280	+	13.3493i	1.50101	+	0.621737i	0.973679	−	0.227924i	$-0.0731939\pi$
$461$	32.2280	+	13.3493i	1.50101	+	0.621737i	0.527328	+	0.849662i	$0.323194\pi$
$462$	17.8271	+	11.9117i	0.829390	+	0.554181i
$463$	−39.0872			−1.81654			−0.908269	−	0.418386i	$-0.862596\pi$
$463$	−39.0872			−1.81654			−0.908269	+	0.418386i	$0.862596\pi$
$464$	1.75178	+	1.17050i	0.0813245	+	0.0543393i
$465$	−9.52806	−	1.90416i	−0.441853	−	0.0883032i
$466$	−1.32642	−	1.98513i	−0.0614454	−	0.0919595i
$467$	−6.46053	+	15.5971i	−0.298958	+	0.721748i	0.701005	+	0.713156i	$0.252735\pi$
$467$	−6.46053	+	15.5971i	−0.298958	+	0.721748i	−0.999963	+	0.00859198i	$0.997265\pi$
$468$	−10.0404	+	24.2397i	−0.464118	+	1.12048i
$469$	4.22385	+	6.32144i	0.195039	+	0.291897i
$470$	−0.136399	−	0.204533i	−0.00629162	−	0.00943442i
$471$	−2.05856	−	1.37549i	−0.0948535	−	0.0633791i
$472$	−5.50244			−0.253270
$473$	6.91269	+	4.61891i	0.317846	+	0.212378i
$474$	13.2838	+	5.50235i	0.610147	+	0.252731i
$475$	−0.00732427	+	4.07295i	−0.000336060	+	0.186880i
$476$	−3.38077	+	4.17827i	−0.154957	+	0.191511i
$477$	−3.44347	−	3.44347i	−0.157665	−	0.157665i
$478$	9.68071	−	4.00988i	0.442785	−	0.183408i
$479$	−1.23929	−	6.23034i	−0.0566247	−	0.284672i	0.942090	−	0.335361i	$-0.108858\pi$
$479$	−1.23929	−	6.23034i	−0.0566247	−	0.284672i	−0.998714	+	0.0506892i	$0.983858\pi$
$480$	0.00565639	−	6.29093i	0.000258178	−	0.287140i
$481$	−20.6586	+	30.9178i	−0.941950	+	1.40973i
$482$	−3.60143	−	5.38993i	−0.164041	−	0.245504i
$483$	−25.1848	−	5.00957i	−1.14595	−	0.227943i
$484$	21.4136	−	8.86981i	0.973346	−	0.403173i
$485$	12.8540	+	31.1113i	0.583668	+	1.41269i
$486$	−12.4732	+	8.33431i	−0.565795	+	0.378052i
$487$	22.4720	−	15.0153i	1.01830	−	0.680407i	0.0699246	−	0.997552i	$-0.477724\pi$
$487$	22.4720	−	15.0153i	1.01830	−	0.680407i	0.948377	+	0.317145i	$0.102724\pi$
$488$	−5.69362	+	1.13253i	−0.257738	+	0.0512673i
$489$	−13.5538	−	13.5538i	−0.612924	−	0.612924i
$490$	2.30191	+	11.6271i	0.103990	+	0.525260i
$491$	−0.0788074	+	0.190258i	−0.00355653	+	0.00858621i	−0.925648	−	0.378386i	$-0.876479\pi$
$491$	−0.0788074	+	0.190258i	−0.00355653	+	0.00858621i	0.922091	+	0.386972i	$0.126479\pi$
$492$	15.7717	−	15.7717i	0.711042	−	0.711042i
$493$	−8.33002	−	2.46389i	−0.375165	−	0.110968i
$494$			4.34824i			0.195636i
$495$	59.3845	−	24.5353i	2.66914	−	1.10278i
$496$	1.51484	−	0.301321i	0.0680184	−	0.0135297i
$497$			7.16319i			0.321313i
$498$	−1.41630	−	7.12021i	−0.0634658	−	0.319064i
$499$	−4.34370	+	21.8373i	−0.194451	+	0.977570i	0.753086	+	0.657923i	$0.228565\pi$
$499$	−4.34370	+	21.8373i	−0.194451	+	0.977570i	−0.947536	+	0.319648i	$0.896435\pi$
$500$	2.21075	−	10.9596i	0.0988676	−	0.490128i
$501$	−14.4507	−	34.8871i	−0.645609	−	1.55864i
$502$	−20.1650	−	8.35260i	−0.900007	−	0.372795i
$503$	0.317750	−	1.59744i	0.0141678	−	0.0712262i	−0.973055	−	0.230575i	$-0.925939\pi$
$503$	0.317750	−	1.59744i	0.0141678	−	0.0712262i	0.987222	+	0.159349i	$0.0509394\pi$
$504$	−6.28410	−	1.24998i	−0.279916	−	0.0556787i
$505$	−2.93380	−	14.8188i	−0.130552	−	0.659429i
$506$	−28.9442	+	28.9442i	−1.28673	+	1.28673i
$507$	−24.2170	+	36.2433i	−1.07552	+	1.60962i
$508$	1.36362	+	3.29207i	0.0605009	+	0.146062i
$509$	−35.1547			−1.55820			−0.779102	−	0.626897i	$-0.784325\pi$
$509$	−35.1547			−1.55820			−0.779102	+	0.626897i	$0.784325\pi$
$510$	7.67926	+	24.7754i	0.340043	+	1.09707i
$511$	10.6671			0.471883
$512$	0.382683	+	0.923880i	0.0169124	+	0.0408301i
$513$	2.43846	−	3.64941i	0.107661	−	0.161126i
$514$	6.86243	−	6.86243i	0.302689	−	0.302689i
$515$	8.36339	−	12.4924i	0.368535	−	0.550479i
$516$	−3.92402	−	0.780537i	−0.172746	−	0.0343612i
$517$	−0.125395	+	0.630404i	−0.00551487	+	0.0277251i
$518$	−8.38946	−	3.47503i	−0.368612	−	0.152684i
$519$	25.4529	+	61.4487i	1.11726	+	2.69730i
$520$	2.33912	−	11.7045i	0.102577	−	0.513278i
$521$	6.77862	−	34.0784i	0.296977	−	1.49300i	−0.487653	−	0.873038i	$-0.662147\pi$
$521$	6.77862	−	34.0784i	0.296977	−	1.49300i	0.784629	−	0.619965i	$-0.212853\pi$
$522$	−2.02026	−	10.1566i	−0.0884246	−	0.444540i
$523$			0.224643i			0.00982294i	0.999988	+	0.00491147i	$0.00156338\pi$
$523$			0.224643i			0.00982294i	−0.999988	+	0.00491147i	$0.998437\pi$
$524$	−11.5654	+	2.30050i	−0.505237	+	0.100498i
$525$	−16.9286	−	7.04776i	−0.738826	−	0.307589i
$526$		−	16.0185i		−	0.698438i
$527$	−5.59530	+	3.04086i	−0.243735	+	0.132462i
$528$	−11.6302	+	11.6302i	−0.506140	+	0.506140i
$529$	9.95889	−	24.0429i	0.432995	−	1.04534i
$530$	1.84095	+	1.23248i	0.0799659	+	0.0535355i
$531$	19.1240	+	19.1240i	0.829911	+	0.829911i
$532$	−1.04146	+	0.207160i	−0.0451532	+	0.00898153i
$533$	35.1871	−	23.5112i	1.52412	−	1.01838i
$534$	−2.57804	+	1.72259i	−0.111563	+	0.0745439i
$535$	34.5629	−	14.2800i	1.49429	−	0.617380i
$536$	−5.38834	+	2.23192i	−0.232741	+	0.0964043i
$537$	−68.4438	−	13.6143i	−2.95357	−	0.587501i
$538$	−9.15792	−	13.7058i	−0.394826	−	0.590899i
$539$	17.2166	−	25.7665i	0.741572	−	1.10984i
$540$	−8.52702	+	8.51170i	−0.366944	+	0.366285i
$541$	6.22565	+	31.2985i	0.267662	+	1.34563i	0.847457	+	0.530864i	$0.178132\pi$
$541$	6.22565	+	31.2985i	0.267662	+	1.34563i	−0.579796	+	0.814762i	$0.696868\pi$
$542$	4.77923	−	1.97962i	0.205286	−	0.0850321i
$543$	11.2906	+	11.2906i	0.484525	+	0.484525i
$544$	−2.63773	−	3.16897i	−0.113092	−	0.135869i
$545$	3.84765	−	3.84074i	0.164815	−	0.164519i
$546$	−18.0863	−	7.49159i	−0.774022	−	0.320610i
$547$	−5.72658	−	3.82638i	−0.244851	−	0.163604i	0.427090	−	0.904209i	$-0.359539\pi$
$547$	−5.72658	−	3.82638i	−0.244851	−	0.163604i	−0.671940	+	0.740605i	$0.734539\pi$
$548$	−13.5679			−0.579593
$549$	23.7246	+	15.8523i	1.01254	+	0.676559i
$550$	−24.3338	+	16.1961i	−1.03760	+	0.690605i
$551$	−0.953483	−	1.42699i	−0.0406197	−	0.0607917i
$552$	7.53830	−	18.1991i	0.320851	−	0.774604i
$553$	−2.54946	+	6.15494i	−0.108414	+	0.261735i
$554$	−11.4847	−	17.1880i	−0.487936	−	0.730248i
$555$	−36.4595	+	24.3140i	−1.54762	+	1.03207i
$556$	−8.57135	−	5.72719i	−0.363506	−	0.242887i
$557$	−33.2286			−1.40794			−0.703971	−	0.710228i	$-0.748592\pi$
$557$	−33.2286			−1.40794			−0.703971	+	0.710228i	$0.748592\pi$
$558$	−6.31216	−	4.21765i	−0.267215	−	0.178548i
$559$	−7.01321	−	2.90496i	−0.296627	−	0.122867i
$560$	2.91484	+	0.00262084i	0.123175	+	0.000110751i
$561$	31.5521	−	60.0281i	1.33213	−	2.53439i
$562$	0.924680	+	0.924680i	0.0390053	+	0.0390053i
$563$	20.5149	−	8.49755i	0.864600	−	0.358129i	0.0940950	−	0.995563i	$-0.470004\pi$
$563$	20.5149	−	8.49755i	0.864600	−	0.358129i	0.770505	+	0.637434i	$0.220004\pi$
$564$	−0.0603445	−	0.303372i	−0.00254096	−	0.0127743i
$565$	−17.8722	−	17.9044i	−0.751890	−	0.753243i
$566$	−2.53325	+	3.79127i	−0.106480	+	0.159359i
$567$	0.299372	+	0.448041i	0.0125724	+	0.0188160i
$568$	−5.38952	−	1.07204i	−0.226139	−	0.0449819i
$569$	−13.2905	+	5.50510i	−0.557166	+	0.230786i	−0.643454	−	0.765484i	$-0.722499\pi$
$569$	−13.2905	+	5.50510i	−0.557166	+	0.230786i	0.0862883	+	0.996270i	$0.472499\pi$
$570$	−1.96533	+	4.73269i	−0.0823187	+	0.198231i
$571$	17.4454	−	11.6566i	0.730068	−	0.487816i	−0.134133	−	0.990963i	$-0.542825\pi$
$571$	17.4454	−	11.6566i	0.730068	−	0.487816i	0.864200	+	0.503148i	$0.167825\pi$
$572$	−25.9473	+	17.3375i	−1.08491	+	0.724915i
$573$	−0.791791	+	0.157497i	−0.0330775	+	0.00657953i
$574$	7.30766	+	7.30766i	0.305016	+	0.305016i
$575$	19.5020	−	29.0735i	0.813290	−	1.21245i
$576$	1.88095	−	4.54102i	0.0783731	−	0.189209i
$577$	−13.0297	+	13.0297i	−0.542435	+	0.542435i	−0.924242	−	0.381807i	$-0.875302\pi$
$577$	−13.0297	+	13.0297i	−0.542435	+	0.542435i	0.381807	+	0.924242i	$0.375302\pi$
$578$	14.2647	+	9.24760i	0.593334	+	0.384650i
$579$		−	68.9741i		−	2.86646i
$580$	1.79893	+	4.35408i	0.0746966	+	0.180793i
$581$	3.29908	−	0.656228i	0.136869	−	0.0272249i
$582$			42.3532i			1.75560i
$583$	−1.13001	−	5.68093i	−0.0468001	−	0.235280i
$584$	−1.59643	+	8.02579i	−0.0660607	+	0.332110i
$585$	−48.8094	+	32.5500i	−2.01802	+	1.34578i
$586$	11.9708	+	28.9001i	0.494510	+	1.19385i
$587$	21.5891	+	8.94250i	0.891077	+	0.369096i	0.780783	−	0.624803i	$-0.214821\pi$
$587$	21.5891	+	8.94250i	0.891077	+	0.369096i	0.110295	+	0.993899i	$0.464821\pi$
$588$	−2.90939	+	14.6265i	−0.119981	+	0.603186i
$589$	−1.23398	−	0.245453i	−0.0508452	−	0.0101137i
$590$	−10.2241	−	6.84484i	−0.420920	−	0.281798i
$591$	5.00542	−	5.00542i	0.205895	−	0.205895i
$592$	3.87014	−	5.79208i	0.159062	−	0.238053i
$593$	10.6733	+	25.7677i	0.438301	+	1.05815i	0.976535	+	0.215357i	$0.0690916\pi$
$593$	10.6733	+	25.7677i	0.438301	+	1.05815i	−0.538234	+	0.842795i	$0.680908\pi$
$594$	31.4999			1.29246
$595$	−11.4794	+	3.55811i	−0.470611	+	0.145868i
$596$	19.2721			0.789417
$597$	−13.9182	−	33.6016i	−0.569636	−	1.37522i
$598$	20.7642	−	31.0759i	0.849113	−	1.27079i
$599$	−6.03820	+	6.03820i	−0.246714	+	0.246714i	−0.819621	−	0.572907i	$-0.805816\pi$
$599$	−6.03820	+	6.03820i	−0.246714	+	0.246714i	0.572907	+	0.819621i	$0.305816\pi$
$600$	7.83620	−	11.6822i	0.319912	−	0.476923i
$601$	−1.21570	−	0.241819i	−0.0495896	−	0.00986398i	0.170233	−	0.985404i	$-0.445548\pi$
$601$	−1.21570	−	0.241819i	−0.0495896	−	0.00986398i	−0.219823	+	0.975540i	$0.570548\pi$
$602$	0.361655	−	1.81816i	0.0147399	−	0.0741027i
$603$	26.4846	+	10.9703i	1.07854	+	0.446744i
$604$	3.26423	+	7.88055i	0.132820	+	0.320655i
$605$	50.8225	+	10.1567i	2.06623	+	0.412930i
$606$	3.70803	−	18.6415i	0.150628	−	0.757260i
$607$	7.10414	+	35.7149i	0.288348	+	1.44962i	0.804922	+	0.593381i	$0.202207\pi$
$607$	7.10414	+	35.7149i	0.288348	+	1.44962i	−0.516574	+	0.856243i	$0.672793\pi$
$608$		−	0.814591i		−	0.0330360i
$609$	7.57824	−	1.50741i	0.307086	−	0.0610832i
$610$	−11.9882	−	4.97830i	−0.485387	−	0.201565i
$611$		−	0.586875i		−	0.0237424i
$612$	−1.84638	+	20.1815i	−0.0746355	+	0.815788i
$613$	−1.67709	+	1.67709i	−0.0677372	+	0.0677372i	−0.740164	−	0.672427i	$-0.765252\pi$
$613$	−1.67709	+	1.67709i	−0.0677372	+	0.0677372i	0.672427	+	0.740164i	$0.265252\pi$
$614$	−6.55792	+	15.8322i	−0.264656	+	0.638936i
$615$	48.9249	−	9.68604i	1.97284	−	0.390579i
$616$	−5.38876	−	5.38876i	−0.217119	−	0.217119i
$617$	9.31821	−	1.85351i	0.375137	−	0.0746194i	−0.00392093	−	0.999992i	$-0.501248\pi$
$617$	9.31821	−	1.85351i	0.375137	−	0.0746194i	0.379058	+	0.925373i	$0.376248\pi$
$618$	15.7272	−	10.5086i	0.632640	−	0.422717i
$619$	33.6978	−	22.5162i	1.35443	−	0.905001i	0.354877	−	0.934913i	$-0.384523\pi$
$619$	33.6978	−	22.5162i	1.35443	−	0.905001i	0.999553	+	0.0299118i	$0.00952263\pi$
$620$	3.18957	+	1.32452i	0.128096	+	0.0531942i
$621$	−34.8543	+	14.4371i	−1.39865	+	0.579341i
$622$	5.38379	+	1.07090i	0.215870	+	0.0429393i
$623$	−0.798148	−	1.19451i	−0.0319771	−	0.0478571i
$624$	8.34339	−	12.4868i	0.334003	−	0.499871i
$625$	17.7411	−	17.6140i	0.709645	−	0.704559i
$626$	1.25044	+	6.28639i	0.0499777	+	0.251255i
$627$	12.3782	−	5.12723i	0.494338	−	0.204762i
$628$	0.622261	+	0.622261i	0.0248309	+	0.0248309i
$629$	−8.14658	+	27.5423i	−0.324825	+	1.09818i
$630$	−10.1216	−	10.1398i	−0.403253	−	0.403979i
$631$	−12.6410	−	5.23609i	−0.503232	−	0.208446i	0.116602	−	0.993179i	$-0.462800\pi$
$631$	−12.6410	−	5.23609i	−0.503232	−	0.208446i	−0.619834	+	0.784733i	$0.712800\pi$
$632$	−4.24937	−	2.83934i	−0.169031	−	0.112943i
$633$	40.1233			1.59476
$634$	16.0464	+	10.7218i	0.637283	+	0.425819i
$635$	−1.56147	+	7.81331i	−0.0619650	+	0.310062i
$636$	1.54861	+	2.31766i	0.0614063	+	0.0919010i
$637$	−10.8280	+	26.1412i	−0.429022	+	1.03575i
$638$	4.71353	−	11.3795i	0.186611	−	0.450518i
$639$	15.0056	+	22.4575i	0.593613	+	0.888404i
$640$	−0.438207	+	2.19271i	−0.0173217	+	0.0866745i
$641$	−28.3365	−	18.9339i	−1.11923	−	0.747843i	−0.148711	−	0.988881i	$-0.547512\pi$
$641$	−28.3365	−	18.9339i	−1.11923	−	0.747843i	−0.970516	+	0.241038i	$0.922512\pi$
$642$	47.0520			1.85700
$643$	−9.56293	−	6.38975i	−0.377125	−	0.251987i	0.352532	−	0.935800i	$-0.385321\pi$
$643$	−9.56293	−	6.38975i	−0.377125	−	0.251987i	−0.729658	+	0.683813i	$0.760321\pi$
$644$	8.43237	+	3.49280i	0.332282	+	0.137636i
$645$	−6.32029	−	6.33167i	−0.248861	−	0.249309i
$646$	0.997245	+	3.20718i	0.0392361	+	0.126185i
$647$	22.0524	+	22.0524i	0.866968	+	0.866968i	0.992136	−	0.125168i	$-0.0399469\pi$
$647$	22.0524	+	22.0524i	0.866968	+	0.866968i	−0.125168	+	0.992136i	$0.539947\pi$
$648$	−0.381906	+	0.158191i	−0.0150027	+	0.00621432i
$649$	6.27573	+	31.5502i	0.246344	+	1.23845i
$650$	18.9064	−	18.8385i	0.741569	−	0.738906i
$651$	3.14697	−	4.70978i	0.123340	−	0.184591i
$652$	3.78517	+	5.66490i	0.148239	+	0.221855i
$653$	−45.3548	−	9.02163i	−1.77487	−	0.353044i	−0.804368	−	0.594132i	$-0.797496\pi$
$653$	−45.3548	−	9.02163i	−1.77487	−	0.353044i	−0.970503	+	0.241088i	$0.922496\pi$
$654$	6.31947	−	2.61761i	0.247111	−	0.102357i
$655$	−24.3515	−	10.1124i	−0.951490	−	0.395123i
$656$	−6.59188	+	4.40455i	−0.257370	+	0.171969i
$657$	33.4425	−	22.3456i	1.30472	−	0.871783i
$658$	0.140565	−	0.0279601i	0.00547979	−	0.00109000i
$659$	26.4734	+	26.4734i	1.03126	+	1.03126i	0.999495	+	0.0317611i	$0.0101116\pi$
$659$	26.4734	+	26.4734i	1.03126	+	1.03126i	0.0317611	+	0.999495i	$0.489888\pi$
$660$	−36.0777	+	7.14259i	−1.40432	+	0.278025i
$661$	−3.99375	+	9.64176i	−0.155339	+	0.375021i	−0.982320	−	0.187208i	$-0.940056\pi$
$661$	−3.99375	+	9.64176i	−0.155339	+	0.375021i	0.826981	+	0.562229i	$0.190056\pi$
$662$	−10.2265	+	10.2265i	−0.397465	+	0.397465i
$663$	−17.5627	+	59.3767i	−0.682077	+	2.30600i
$664$			2.58041i			0.100139i
$665$	−2.19285	−	0.910619i	−0.0850350	−	0.0353123i
$666$	−33.5815	+	6.67978i	−1.30126	+	0.258836i
$667$			14.7516i			0.571182i
$668$	2.61851	+	13.1642i	0.101313	+	0.509336i
$669$	−7.49177	+	37.6637i	−0.289649	+	1.45616i
$670$	−12.7885	−	2.55575i	−0.494064	−	0.0987373i
$671$	12.9876	+	31.3547i	0.501379	+	1.21044i
$672$	3.38825	+	1.40346i	0.130705	+	0.0541397i
$673$	−1.81154	+	9.10724i	−0.0698299	+	0.351058i	−0.999865	−	0.0164114i	$-0.994776\pi$
$673$	−1.81154	+	9.10724i	−0.0698299	+	0.351058i	0.930035	+	0.367470i	$0.119776\pi$
$674$	−8.43768	−	1.67836i	−0.325007	−	0.0646480i
$675$	−26.4323	+	5.20832i	−1.01738	+	0.200468i
$676$	10.9556	−	10.9556i	0.421370	−	0.421370i
$677$	21.1958	−	31.7217i	0.814619	−	1.21916i	−0.158157	−	0.987414i	$-0.550555\pi$
$677$	21.1958	−	31.7217i	0.814619	−	1.21916i	0.972776	−	0.231749i	$-0.0744449\pi$
$678$	−12.1806	−	29.4066i	−0.467794	−	1.12935i
$679$	−19.6240			−0.753099
$680$	−0.959081	−	9.16952i	−0.0367791	−	0.351635i
$681$	−22.1904			−0.850336
$682$	−3.45546	−	8.34222i	−0.132316	−	0.319440i
$683$	−15.1546	+	22.6804i	−0.579874	+	0.867842i	−0.999200	−	0.0399935i	$-0.987266\pi$
$683$	−15.1546	+	22.6804i	−0.579874	+	0.867842i	0.419326	+	0.907836i	$0.362266\pi$
$684$	−2.83115	+	2.83115i	−0.108252	+	0.108252i
$685$	−25.2106	−	16.8780i	−0.963249	−	0.644876i
$686$	−15.7266	−	3.12822i	−0.600445	−	0.119436i
$687$	5.81730	−	29.2455i	0.221944	−	1.11579i
$688$	1.31384	+	0.544211i	0.0500898	+	0.0207479i
$689$	2.02388	+	4.88609i	0.0771038	+	0.186145i
$690$	36.6459	−	24.4384i	1.39509	−	0.930354i
$691$	−5.53015	+	27.8020i	−0.210377	+	1.05764i	0.720821	+	0.693122i	$0.243765\pi$
$691$	−5.53015	+	27.8020i	−0.210377	+	1.05764i	−0.931198	+	0.364515i	$0.881235\pi$
$692$	−4.61214	−	23.1868i	−0.175327	−	0.881430i
$693$			37.4578i			1.42290i
$694$	33.4249	−	6.64863i	1.26879	−	0.252378i
$695$	−8.80205	−	21.3042i	−0.333881	−	0.808114i
$696$			5.92740i			0.224677i
$697$	20.5612	−	25.4114i	0.778809	−	0.962526i
$698$	−4.84321	+	4.84321i	−0.183318	+	0.183318i
$699$	2.57047	−	6.20567i	0.0972242	−	0.234720i
$700$	5.41283	+	3.63083i	0.204586	+	0.137233i
$701$	−2.93942	−	2.93942i	−0.111020	−	0.111020i	0.649414	−	0.760435i	$-0.275014\pi$
$701$	−2.93942	−	2.93942i	−0.111020	−	0.111020i	−0.760435	+	0.649414i	$0.775014\pi$
$702$	−28.2088	+	5.61108i	−1.06467	+	0.211776i
$703$	−4.71818	+	3.15259i	−0.177949	+	0.118902i
$704$	4.86093	−	3.24797i	0.183203	−	0.122412i
$705$	0.265258	−	0.638764i	0.00999019	−	0.0240573i
$706$	21.9153	−	9.07762i	0.824794	−	0.341641i
$707$	8.63737	+	1.71808i	0.324842	+	0.0646151i
$708$	−8.60051	−	12.8716i	−0.323227	−	0.483744i
$709$	9.66796	−	14.4691i	0.363088	−	0.543399i	−0.604281	−	0.796771i	$-0.706540\pi$
$709$	9.66796	−	14.4691i	0.363088	−	0.543399i	0.967369	+	0.253372i	$0.0815396\pi$
$710$	−8.68071	−	8.69634i	−0.325781	−	0.326368i
$711$	4.90063	+	24.6371i	0.183788	+	0.923965i
$712$	1.01819	−	0.421748i	0.0381583	−	0.0158057i
$713$	7.64684	+	7.64684i	0.286377	+	0.286377i
$714$	−15.0583	−	1.37767i	−0.563542	−	0.0515578i
$715$	−69.7800	−	0.0627416i	−2.60963	−	0.00234640i
$716$	22.9163	+	9.49226i	0.856424	+	0.354742i
$717$	24.5114	+	16.3780i	0.915395	+	0.611647i
$718$	26.1314			0.975216
$719$	7.89793	+	5.27723i	0.294543	+	0.196807i	0.694058	−	0.719919i	$-0.255821\pi$
$719$	7.89793	+	5.27723i	0.294543	+	0.196807i	−0.399515	+	0.916727i	$0.630821\pi$
$720$	9.14388	−	6.09786i	0.340772	−	0.227254i
$721$	4.86905	+	7.28705i	0.181333	+	0.271384i
$722$	7.01705	−	16.9407i	0.261148	−	0.630466i
$723$	6.97921	−	16.8493i	0.259560	−	0.626632i
$724$	−3.15311	−	4.71897i	−0.117185	−	0.175379i
$725$	−2.07371	+	10.3281i	−0.0770156	+	0.383577i
$726$	54.2190	+	36.2280i	2.01225	+	1.34455i
$727$	11.5433			0.428116			0.214058	−	0.976821i	$-0.431332\pi$
$727$	11.5433			0.428116			0.214058	+	0.976821i	$0.431332\pi$
$728$	5.78563	+	3.86583i	0.214430	+	0.143277i
$729$	−40.1378	−	16.6256i	−1.48658	−	0.615764i
$730$	−12.9501	+	12.9269i	−0.479306	+	0.478445i
$731$	−5.83905	−	0.534208i	−0.215965	−	0.0197584i
$732$	−11.5486	−	11.5486i	−0.426849	−	0.426849i
$733$	2.72799	−	1.12997i	0.100760	−	0.0417363i	−0.331734	−	0.943373i	$-0.607634\pi$
$733$	2.72799	−	1.12997i	0.100760	−	0.0417363i	0.432494	+	0.901637i	$0.357634\pi$
$734$	−2.97569	−	14.9598i	−0.109835	−	0.552176i
$735$	−23.6008	+	23.5584i	−0.870528	+	0.868964i
$736$	−3.88994	+	5.82170i	−0.143385	+	0.214591i
$737$	18.9431	+	28.3504i	0.697778	+	1.04430i
$738$	38.2186	+	7.60216i	1.40685	+	0.279839i
$739$	−9.10333	+	3.77072i	−0.334871	+	0.138708i	−0.543782	−	0.839226i	$-0.683008\pi$
$739$	−9.10333	+	3.77072i	−0.334871	+	0.138708i	0.208911	+	0.977935i	$0.433008\pi$
$740$	14.3963	−	5.94797i	0.529218	−	0.218652i
$741$	−10.1716	+	6.79645i	−0.373663	+	0.249674i
$742$	−1.07386	+	0.717533i	−0.0394228	+	0.0263415i
$743$	2.49842	−	0.496966i	0.0916580	−	0.0182319i	−0.149048	−	0.988830i	$-0.547621\pi$
$743$	2.49842	−	0.496966i	0.0916580	−	0.0182319i	0.240706	+	0.970598i	$0.422621\pi$
$744$	3.07262	+	3.07262i	0.112648	+	0.112648i
$745$	35.8096	+	23.9738i	1.31196	+	0.878333i
$746$	1.95672	−	4.72394i	0.0716406	−	0.172956i
$747$	8.96834	−	8.96834i	0.328134	−	0.328134i
$748$	−15.1620	+	18.7387i	−0.554379	+	0.685154i
$749$			21.8011i			0.796596i
$750$	29.0927	−	11.9587i	1.06231	−	0.436672i
$751$	−28.9085	+	5.75025i	−1.05489	+	0.209830i	−0.691921	−	0.721973i	$-0.743235\pi$
$751$	−28.9085	+	5.75025i	−1.05489	+	0.209830i	−0.362964	+	0.931803i	$0.618235\pi$
$752$			0.109944i			0.00400925i
$753$	−11.9798	−	60.2263i	−0.436567	−	2.19477i
$754$	−2.19403	+	11.0302i	−0.0799020	+	0.401694i
$755$	−3.73784	+	18.7035i	−0.136034	+	0.680689i
$756$	−2.68786	−	6.48908i	−0.0977566	−	0.236005i
$757$	−9.60850	−	3.97997i	−0.349227	−	0.144655i	0.201173	−	0.979556i	$-0.435525\pi$
$757$	−9.60850	−	3.97997i	−0.349227	−	0.144655i	−0.550400	+	0.834901i	$0.685525\pi$
$758$	−4.82892	+	24.2766i	−0.175394	+	0.881766i
$759$	−112.949	−	22.4669i	−4.09977	−	0.815495i
$760$	1.01332	−	1.51360i	0.0367571	−	0.0549039i
$761$	−0.842952	+	0.842952i	−0.0305570	+	0.0305570i	−0.722220	−	0.691663i	$-0.756878\pi$
$761$	−0.842952	+	0.842952i	−0.0305570	+	0.0305570i	0.691663	+	0.722220i	$0.256878\pi$
$762$	−5.56959	+	8.33548i	−0.201765	+	0.301962i
$763$	1.21285	+	2.92807i	0.0439080	+	0.106003i
$764$	0.286950			0.0103815
$765$	−28.5358	+	35.2025i	−1.03171	+	1.27275i
$766$	−16.7778			−0.606206
$767$	−11.2401	−	27.1359i	−0.405855	−	0.979820i
$768$	−1.56304	+	2.33925i	−0.0564012	+	0.0844104i
$769$	5.06321	−	5.06321i	0.182584	−	0.182584i	−0.609897	−	0.792481i	$-0.708789\pi$
$769$	5.06321	−	5.06321i	0.182584	−	0.182584i	0.792481	+	0.609897i	$0.208789\pi$
$770$	−3.30946	−	16.7163i	−0.119264	−	0.602413i
$771$	26.7791	+	5.32670i	0.964427	+	0.191837i
$772$	−4.78290	+	24.0453i	−0.172140	+	0.865408i
$773$	1.07061	+	0.443463i	0.0385073	+	0.0159502i	0.401854	−	0.915704i	$-0.368366\pi$
$773$	1.07061	+	0.443463i	0.0385073	+	0.0159502i	−0.363347	+	0.931654i	$0.618366\pi$
$774$	−2.67489	−	6.45775i	−0.0961469	−	0.232119i
$775$	4.27889	+	6.42881i	0.153702	+	0.230930i
$776$	2.93692	−	14.7649i	0.105429	−	0.530029i
$777$	−4.98407	−	25.0566i	−0.178803	−	0.898902i
$778$			11.2501i			0.403335i
$779$	6.33398	−	1.25991i	0.226938	−	0.0451409i
$780$	31.0360	−	12.8228i	1.11127	−	0.459131i
$781$			32.1254i			1.14954i
$782$	8.18824	−	27.6832i	0.292811	−	0.989948i
$783$	8.02705	−	8.02705i	0.286863	−	0.286863i
$784$	2.02850	−	4.89724i	0.0724465	−	0.174901i
$785$	0.382156	+	1.93030i	0.0136397	+	0.0688952i
$786$	−23.4586	−	23.4586i	−0.836740	−	0.836740i
$787$	36.4127	−	7.24294i	1.29797	−	0.258183i	0.502714	−	0.864453i	$-0.332335\pi$
$787$	36.4127	−	7.24294i	1.29797	−	0.258183i	0.795259	+	0.606270i	$0.207335\pi$
$788$	−2.09205	+	1.39786i	−0.0745261	+	0.0497968i
$789$	37.4712	−	25.0374i	1.33401	−	0.891356i
$790$	−4.36374	−	10.5619i	−0.155255	−	0.375774i
$791$	13.6253	−	5.64377i	0.484459	−	0.200669i
$792$	−28.1829	−	5.60592i	−1.00143	−	0.199198i
$793$	−17.2158	−	25.7653i	−0.611351	−	0.914951i
$794$	−20.7302	+	31.0249i	−0.735687	+	1.10103i
$795$	−0.00560418	+	6.23286i	−0.000198760	+	0.221057i
$796$	2.52203	+	12.6791i	0.0893911	+	0.449399i
$797$	0.0379559	−	0.0157219i	0.00134447	−	0.000556897i	−0.382011	−	0.924158i	$-0.624768\pi$
$797$	0.0379559	−	0.0157219i	0.00134447	−	0.000556897i	0.383356	+	0.923601i	$0.374768\pi$
$798$	−2.11245	−	2.11245i	−0.0747797	−	0.0747797i
$799$	−0.134597	−	0.432868i	−0.00476169	−	0.0153138i
$800$	−3.54189	+	3.52917i	−0.125225	+	0.124775i
$801$	−5.00458	−	2.07296i	−0.176828	−	0.0732446i
$802$	3.29578	+	2.20217i	0.116378	+	0.0777614i
$803$	47.8395			1.68822
$804$	−13.6432	−	9.11608i	−0.481158	−	0.321500i
$805$	11.3233	+	16.9796i	0.399094	+	0.598451i
$806$	4.58043	+	6.85509i	0.161339	+	0.241460i
$807$	17.7471	−	42.8453i	0.624727	−	1.50823i
$808$	−2.58533	+	6.24155i	−0.0909518	+	0.219577i
$809$	−21.2673	−	31.8287i	−0.747717	−	1.11904i	−0.988904	−	0.148559i	$-0.952537\pi$
$809$	−21.2673	−	31.8287i	−0.747717	−	1.11904i	0.241186	−	0.970479i	$-0.422463\pi$
$810$	−0.906405	−	0.181143i	−0.0318478	−	0.00636470i
$811$	−3.94173	−	2.63378i	−0.138413	−	0.0924845i	0.484436	−	0.874827i	$-0.339025\pi$
$811$	−3.94173	−	2.63378i	−0.138413	−	0.0924845i	−0.622849	+	0.782342i	$0.714025\pi$
$812$	−2.74641			−0.0963799
$813$	12.1009	+	8.08560i	0.424399	+	0.283574i
$814$	−37.6250	−	15.5848i	−1.31876	−	0.546246i
$815$	−0.0136979	+	15.2346i	−0.000479818	+	0.533644i
$816$	3.29016	−	11.1235i	0.115179	−	0.389401i
$817$	−0.819129	−	0.819129i	−0.0286577	−	0.0286577i
$818$	0.281565	−	0.116628i	0.00984469	−	0.00407780i
$819$	−6.67234	−	33.5441i	−0.233150	−	1.17213i
$820$	−17.7275	−	0.0159394i	−0.619072	−	0.000556629i
$821$	24.1132	−	36.0879i	0.841555	−	1.25948i	−0.122151	−	0.992512i	$-0.538979\pi$
$821$	24.1132	−	36.0879i	0.841555	−	1.25948i	0.963706	−	0.266965i	$-0.0860208\pi$
$822$	−21.2072	−	31.7388i	−0.739685	−	1.10702i
$823$	31.8058	+	6.32657i	1.10868	+	0.220531i	0.715281	−	0.698837i	$-0.246299\pi$
$823$	31.8058	+	6.32657i	1.10868	+	0.220531i	0.393401	+	0.919367i	$0.371299\pi$
$824$	−6.21141	+	2.57285i	−0.216385	+	0.0896294i
$825$	−75.9214	−	31.6077i	−2.64324	−	1.10044i
$826$	5.96393	−	3.98497i	0.207512	−	0.138655i
$827$	37.1352	−	24.8130i	1.29132	−	0.862832i	0.295604	−	0.955311i	$-0.404479\pi$
$827$	37.1352	−	24.8130i	1.29132	−	0.862832i	0.995715	+	0.0924789i	$0.0294791\pi$
$828$	33.7533	−	6.71394i	1.17301	−	0.233326i
$829$	−24.9924	−	24.9924i	−0.868024	−	0.868024i	0.124230	−	0.992253i	$-0.460354\pi$
$829$	−24.9924	−	24.9924i	−0.868024	−	0.868024i	−0.992253	+	0.124230i	$0.960354\pi$
$830$	−3.20994	+	4.79467i	−0.111419	+	0.166425i
$831$	22.2561	−	53.7309i	0.772055	−	1.86390i
$832$	−3.77449	+	3.77449i	−0.130857	+	0.130857i
$833$	−1.99122	+	21.7646i	−0.0689917	+	0.754098i
$834$		−	29.0023i		−	1.00427i
$835$	−11.5103	+	27.7177i	−0.398329	+	0.959211i
$836$	−4.67075	+	0.929070i	−0.161541	+	0.0321326i
$837$		−	8.32205i		−	0.287652i
$838$	7.13218	+	35.8559i	0.246377	+	1.23862i
$839$	9.26094	−	46.5579i	0.319723	−	1.60736i	−0.402314	−	0.915502i	$-0.631794\pi$
$839$	9.26094	−	46.5579i	0.319723	−	1.60736i	0.722037	−	0.691855i	$-0.243206\pi$
$840$	4.54988	+	6.82264i	0.156986	+	0.235404i
$841$	9.39915	+	22.6916i	0.324109	+	0.782468i
$842$	−20.5452	−	8.51010i	−0.708034	−	0.293277i
$843$	−0.717749	+	3.60837i	−0.0247206	+	0.124279i
$844$	−13.9875	−	2.78229i	−0.481470	−	0.0957702i
$845$	33.9851	−	6.72829i	1.16912	−	0.231460i
$846$	0.382116	−	0.382116i	0.0131374	−	0.0131374i
$847$	−16.7859	+	25.1219i	−0.576770	+	0.863197i
$848$	−0.379151	−	0.915351i	−0.0130201	−	0.0314333i
$849$	−12.8283			−0.440265
$850$	9.62448	−	18.2310i	0.330117	−	0.625318i
$851$	48.7744			1.67196
$852$	−5.91624	−	14.2831i	−0.202687	−	0.489330i
$853$	−10.7826	+	16.1374i	−0.369191	+	0.552533i	−0.968827	−	0.247740i	$-0.920312\pi$
$853$	−10.7826	+	16.1374i	−0.369191	+	0.552533i	0.599636	+	0.800273i	$0.295312\pi$
$854$	5.35094	−	5.35094i	0.183106	−	0.183106i
$855$	−8.78243	+	1.73873i	−0.300353	+	0.0594632i
$856$	−16.4030	−	3.26275i	−0.560642	−	0.111519i
$857$	−2.54865	+	12.8130i	−0.0870604	+	0.437682i	0.912529	+	0.409013i	$0.134127\pi$
$857$	−2.54865	+	12.8130i	−0.0870604	+	0.437682i	−0.999589	+	0.0286691i	$0.990873\pi$
$858$	−81.1133	−	33.5982i	−2.76916	−	1.14702i
$859$	8.74774	+	21.1189i	0.298469	+	0.720568i	0.999969	+	0.00789846i	$0.00251418\pi$
$859$	8.74774	+	21.1189i	0.298469	+	0.720568i	−0.701500	+	0.712670i	$0.747486\pi$
$860$	1.76428	+	2.64557i	0.0601613	+	0.0902133i
$861$	−5.67230	+	28.5166i	−0.193312	+	0.971843i
$862$	6.92546	+	34.8166i	0.235882	+	1.18586i
$863$		−	48.9670i		−	1.66686i	−0.552627	−	0.833429i	$-0.686375\pi$
$863$		−	48.9670i		−	1.66686i	0.552627	−	0.833429i	$-0.313625\pi$
$864$	5.28458	−	1.05117i	0.179785	−	0.0357615i
$865$	20.2737	−	48.8209i	0.689327	−	1.65996i
$866$		−	4.70842i		−	0.159999i
$867$	0.663809	+	47.8230i	0.0225441	+	1.62416i
$868$	−1.42367	+	1.42367i	−0.0483225	+	0.0483225i
$869$	−11.4338	+	27.6036i	−0.387865	+	0.936390i
$870$	−7.37347	+	11.0137i	−0.249984	+	0.373400i
$871$	−22.0139	−	22.0139i	−0.745914	−	0.745914i
$872$	−2.38457	+	0.474319i	−0.0807516	+	0.0160625i
$873$	−61.5235	+	41.1087i	−2.08226	+	1.39132i
$874$	4.74231	−	3.16871i	0.160411	−	0.107183i
$875$	5.54098	+	13.4798i	0.187319	+	0.455701i
$876$	−21.2696	+	8.81016i	−0.718633	+	0.297668i
$877$	−9.49886	−	1.88944i	−0.320754	−	0.0638019i	0.0320876	−	0.999485i	$-0.489784\pi$
$877$	−9.49886	−	1.88944i	−0.320754	−	0.0638019i	−0.352841	+	0.935683i	$0.614784\pi$
$878$	9.44938	+	14.1420i	0.318901	+	0.477269i
$879$	−48.8937	+	73.1747i	−1.64915	+	2.46812i
$880$	13.0725	+	0.0117539i	0.440673	+	0.000396224i
$881$	−3.65125	−	18.3561i	−0.123014	−	0.618431i	−0.992273	−	0.124075i	$-0.960404\pi$
$881$	−3.65125	−	18.3561i	−0.123014	−	0.618431i	0.869259	−	0.494356i	$-0.164596\pi$
$882$	−24.0708	+	9.97043i	−0.810505	+	0.335722i
$883$	19.9922	+	19.9922i	0.672793	+	0.672793i	0.958359	−	0.285566i	$-0.0921817\pi$
$883$	19.9922	+	19.9922i	0.672793	+	0.672793i	−0.285566	+	0.958359i	$0.592182\pi$
$884$	10.2400	−	19.4816i	0.344407	−	0.655238i
$885$	0.0311240	−	34.6155i	0.00104622	−	1.16359i
$886$	−10.5583	−	4.37340i	−0.354713	−	0.146927i
$887$	−44.3262	−	29.6178i	−1.48833	−	0.994469i	−0.991987	−	0.126341i	$-0.959677\pi$
$887$	−44.3262	−	29.6178i	−1.48833	−	0.994469i	−0.496340	−	0.868128i	$-0.665323\pi$
$888$	19.5983			0.657676
$889$	−3.86217	−	2.58062i	−0.129533	−	0.0865511i
$890$	2.41655	+	0.482940i	0.0810028	+	0.0161882i
$891$	1.34262	+	2.00937i	0.0449795	+	0.0673165i
$892$	5.22346	−	12.6106i	0.174894	−	0.422233i
$893$	0.0342730	−	0.0827422i	0.00114690	−	0.00276886i
$894$	30.1230	+	45.0823i	1.00746	+	1.50778i
$895$	30.7729	+	46.1447i	1.02863	+	1.54245i
$896$	−1.08387	−	0.724218i	−0.0362095	−	0.0241944i
$897$	105.150			3.51084
$898$	−9.49028	−	6.34120i	−0.316695	−	0.211609i
$899$	−3.00637	−	1.24528i	−0.100268	−	0.0415324i
$900$	24.5758	+	0.0441939i	0.819193	+	0.00147313i
$901$	2.61338	+	3.13972i	0.0870642	+	0.104599i
$902$	32.7734	+	32.7734i	1.09123	+	1.09123i
$903$	4.81841	−	1.99585i	0.160347	−	0.0664178i
$904$	2.20717	+	11.0962i	0.0734093	+	0.369053i
$905$	0.0114106	−	12.6907i	0.000379303	−	0.421853i
$906$	−13.3325	+	19.9534i	−0.442941	+	0.662909i
$907$	−19.1618	−	28.6777i	−0.636257	−	0.952226i	−0.999787	−	0.0206435i	$-0.993428\pi$
$907$	−19.1618	−	28.6777i	−0.636257	−	0.952226i	0.363530	−	0.931583i	$-0.381572\pi$
$908$	7.73585	+	1.53876i	0.256723	+	0.0510654i
$909$	30.6783	−	12.7074i	1.01753	−	0.421476i
$910$	5.94135	+	14.3802i	0.196954	+	0.476700i
$911$	−16.3825	+	10.9464i	−0.542777	+	0.362672i	−0.796532	−	0.604597i	$-0.793334\pi$
$911$	−16.3825	+	10.9464i	−0.542777	+	0.362672i	0.253755	+	0.967269i	$0.418334\pi$
$912$	1.90553	−	1.27324i	0.0630985	−	0.0421610i
$913$	14.7957	−	2.94305i	0.489666	−	0.0974007i
$914$	5.68253	+	5.68253i	0.187961	+	0.187961i
$915$	−7.09247	−	35.8246i	−0.234470	−	1.18432i
$916$	−4.05598	+	9.79199i	−0.134013	+	0.323537i
$917$	10.8693	−	10.8693i	0.358936	−	0.358936i
$918$	−19.5194	+	10.6082i	−0.644237	+	0.350121i
$919$		−	7.48557i		−	0.246926i	−0.992349	−	0.123463i	$-0.960600\pi$
$919$		−	7.48557i		−	0.246926i	0.992349	−	0.123463i	$-0.0394001\pi$
$920$	−14.4699	+	5.97839i	−0.477059	+	0.197102i
$921$	−47.2857	+	9.40572i	−1.55812	+	0.309929i
$922$		−	34.8833i		−	1.14882i
$923$	−5.72249	−	28.7689i	−0.188358	−	0.946941i
$924$	4.18282	−	21.0285i	0.137605	−	0.691786i
$925$	34.1488	+	6.85649i	1.12281	+	0.225440i
$926$	14.9580	+	36.1119i	0.491552	+	1.18671i
$927$	30.5301	+	12.6460i	1.00274	+	0.415349i
$928$	0.411026	−	2.06637i	0.0134926	−	0.0678319i
$929$	23.3245	+	4.63954i	0.765253	+	0.152218i	0.562258	−	0.826962i	$-0.309933\pi$
$929$	23.3245	+	4.63954i	0.765253	+	0.152218i	0.202995	+	0.979180i	$0.434933\pi$
$930$	1.88702	+	9.53147i	0.0618778	+	0.312549i
$931$	−3.05324	+	3.05324i	−0.100066	+	0.100066i
$932$	−1.32642	+	1.98513i	−0.0434484	+	0.0650252i
$933$	5.90995	+	14.2679i	0.193483	+	0.467110i
$934$	16.8822			0.552402
$935$	−51.4829	+	15.9574i	−1.68367	+	0.521863i
$936$	26.2369			0.857579
$937$	−11.3016	−	27.2845i	−0.369207	−	0.891345i	−0.993881	−	0.110459i	$-0.964768\pi$
$937$	−11.3016	−	27.2845i	−0.369207	−	0.891345i	0.624674	−	0.780886i	$-0.285232\pi$
$938$	4.22385	−	6.32144i	0.137914	−	0.206402i
$939$	−12.7510	+	12.7510i	−0.416112	+	0.416112i
$940$	−0.136767	+	0.204288i	−0.00446083	+	0.00666313i
$941$	1.26326	+	0.251277i	0.0411810	+	0.00819140i	0.215638	−	0.976473i	$-0.430817\pi$
$941$	1.26326	+	0.251277i	0.0411810	+	0.00819140i	−0.174457	+	0.984665i	$0.555817\pi$
$942$	−0.483007	+	2.42824i	−0.0157372	+	0.0791163i
$943$	−51.2840	−	21.2425i	−1.67004	−	0.691752i
$944$	2.10569	+	5.08359i	0.0685345	+	0.165457i
$945$	3.07785	−	15.4010i	0.100122	−	0.500994i
$946$	1.62195	−	8.15407i	0.0527340	−	0.265112i
$947$	7.32823	+	36.8415i	0.238136	+	1.19719i	0.896001	+	0.444052i	$0.146460\pi$
$947$	7.32823	+	36.8415i	0.238136	+	1.19719i	−0.657865	+	0.753136i	$0.728540\pi$
$948$		−	14.3783i		−	0.466986i
$949$	−42.8412	+	8.52164i	−1.39068	+	0.276624i
$950$	3.76572	−	1.55188i	0.122176	−	0.0503498i
$951$			54.2951i			1.76064i
$952$	5.15398	+	1.52447i	0.167041	+	0.0494082i
$953$	25.9594	−	25.9594i	0.840908	−	0.840908i	−0.148069	−	0.988977i	$-0.547306\pi$
$953$	25.9594	−	25.9594i	0.840908	−	0.840908i	0.988977	+	0.148069i	$0.0473056\pi$
$954$	−1.86359	+	4.49910i	−0.0603360	+	0.145664i
$955$	0.533184	+	0.356956i	0.0172534	+	0.0115508i
$956$	−7.40929	−	7.40929i	−0.239634	−	0.239634i
$957$	33.9869	−	6.76041i	1.09864	−	0.218533i
$958$	−5.28183	+	3.52921i	−0.170648	+	0.114023i
$959$	14.7059	−	9.82614i	0.474877	−	0.317303i
$960$	−5.81423	+	2.40221i	−0.187653	+	0.0775310i
$961$	26.4363	−	10.9503i	0.852784	−	0.353235i
$962$	36.4700	+	7.25433i	1.17584	+	0.233889i
$963$	45.6695	+	68.3492i	1.47168	+	2.20252i
$964$	−3.60143	+	5.38993i	−0.115994	+	0.173598i
$965$	−38.7986	+	38.7289i	−1.24897	+	1.24673i
$966$	5.00957	+	25.1848i	0.161180	+	0.810307i
$967$	−21.7497	+	9.00902i	−0.699423	+	0.289711i	−0.703920	−	0.710279i	$-0.748569\pi$
$967$	−21.7497	+	9.00902i	−0.699423	+	0.289711i	0.00449664	+	0.999990i	$0.498569\pi$
$968$	−16.3893	−	16.3893i	−0.526771	−	0.526771i
$969$	−5.94366	+	7.34574i	−0.190938	+	0.235979i
$970$	23.8241	−	23.7813i	0.764946	−	0.763571i
$971$	−16.1076	−	6.67199i	−0.516918	−	0.214114i	0.108945	−	0.994048i	$-0.465253\pi$
$971$	−16.1076	−	6.67199i	−0.516918	−	0.214114i	−0.625862	+	0.779933i	$0.715253\pi$
$972$	12.4732	+	8.33431i	0.400078	+	0.267323i
$973$	13.4380			0.430801
$974$	−22.4720	−	15.0153i	−0.720048	−	0.481121i
$975$	73.6193	+	14.7815i	2.35770	+	0.473385i
$976$	3.22518	+	4.82682i	0.103235	+	0.154503i
$977$	4.93111	−	11.9048i	0.157760	−	0.380867i	−0.825160	−	0.564899i	$-0.808915\pi$
$977$	4.93111	−	11.9048i	0.157760	−	0.380867i	0.982920	+	0.184032i	$0.0589151\pi$
$978$	−7.33526	+	17.7089i	−0.234556	+	0.566268i
$979$	−3.57953	−	5.35714i	−0.114402	−	0.171215i
$980$	9.86116	−	6.57620i	0.315003	−	0.210069i
$981$	9.93619	+	6.63915i	0.317238	+	0.211972i
$982$	0.205934			0.00657160
$983$	−27.2056	−	18.1782i	−0.867724	−	0.579795i	0.0400767	−	0.999197i	$-0.487240\pi$
$983$	−27.2056	−	18.1782i	−0.867724	−	0.579795i	−0.907801	+	0.419402i	$0.862240\pi$
$984$	−20.6067	−	8.53557i	−0.656918	−	0.272104i
$985$	−5.62613	−	0.00505865i	−0.179264	−	0.000161182i
$986$	0.911426	+	8.63883i	0.0290257	+	0.275116i
$987$	0.285114	+	0.285114i	0.00907526	+	0.00907526i
$988$	4.01725	−	1.66400i	0.127806	−	0.0529388i
$989$	1.94253	+	9.76574i	0.0617688	+	0.310533i
$990$	−45.3932	−	45.4749i	−1.44269	−	1.44529i
$991$	2.85767	−	4.27680i	0.0907767	−	0.135857i	−0.783302	−	0.621642i	$-0.786466\pi$
$991$	2.85767	−	4.27680i	0.0907767	−	0.135857i	0.874079	+	0.485785i	$0.161466\pi$
$992$	−0.858089	−	1.28422i	−0.0272444	−	0.0407741i
$993$	−39.9068	−	7.93796i	−1.26640	−	0.251903i
$994$	6.61793	−	2.74124i	0.209908	−	0.0869467i
$995$	−11.0862	+	26.6964i	−0.351455	+	0.846334i
$996$	−6.03622	+	4.03327i	−0.191265	+	0.127799i
$997$	−43.3514	+	28.9665i	−1.37295	+	0.917378i	−0.999945	−	0.0104506i	$-0.996673\pi$
$997$	−43.3514	+	28.9665i	−1.37295	+	0.917378i	−0.373007	+	0.927828i	$0.621673\pi$
$998$	21.8373	−	4.34370i	0.691247	−	0.137498i
$999$	−26.5406	−	26.5406i	−0.839706	−	0.839706i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	170.2.o.a.57.4	yes	32
5.2	odd	4		850.2.v.c.193.1		32
5.3	odd	4		170.2.r.a.23.4	yes	32
5.4	even	2		850.2.s.c.57.1		32
17.3	odd	16		170.2.r.a.37.4	yes	32
85.3	even	16	inner	170.2.o.a.3.4	✓	32
85.37	even	16		850.2.s.c.343.1		32
85.54	odd	16		850.2.v.c.207.1		32

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
170.2.o.a.3.4	✓	32	85.3	even	16	inner
170.2.o.a.57.4	yes	32	1.1	even	1	trivial
170.2.r.a.23.4	yes	32	5.3	odd	4
170.2.r.a.37.4	yes	32	17.3	odd	16
850.2.s.c.57.1		32	5.4	even	2
850.2.s.c.343.1		32	85.37	even	16
850.2.v.c.193.1		32	5.2	odd	4
850.2.v.c.207.1		32	85.54	odd	16

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:	\( N \)	\(=\)	\( 170 = 2 \cdot 5 \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	170.o (of order \(16\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.382683 - 0.923880i) q^{2} +(1.56304 - 2.33925i) q^{3} +(-0.707107 + 0.707107i) q^{4} +(-2.19349 + 0.434263i) q^{5} +(-2.75933 - 0.548865i) q^{6} +(0.254312 - 1.27851i) q^{7} +(0.923880 + 0.382683i) q^{8} +(-1.88095 - 4.54102i) q^{9} +O(q^{10})\)	\(q+(-0.382683 - 0.923880i) q^{2} +(1.56304 - 2.33925i) q^{3} +(-0.707107 + 0.707107i) q^{4} +(-2.19349 + 0.434263i) q^{5} +(-2.75933 - 0.548865i) q^{6} +(0.254312 - 1.27851i) q^{7} +(0.923880 + 0.382683i) q^{8} +(-1.88095 - 4.54102i) q^{9} +(1.24062 + 1.86034i) q^{10} +(1.14054 - 5.73386i) q^{11} +(0.548865 + 2.75933i) q^{12} +5.33794i q^{13} +(-1.27851 + 0.254312i) q^{14} +(-2.41266 + 5.80990i) q^{15} -1.00000i q^{16} +(1.22423 + 3.93717i) q^{17} +(-3.47555 + 3.47555i) q^{18} +(-0.311731 + 0.752584i) q^{19} +(1.24396 - 1.85810i) q^{20} +(-2.59326 - 2.59326i) q^{21} +(-5.73386 + 1.14054i) q^{22} +(5.82170 - 3.88994i) q^{23} +(2.33925 - 1.56304i) q^{24} +(4.62283 - 1.90511i) q^{25} +(4.93161 - 2.04274i) q^{26} +(-5.28458 - 1.05117i) q^{27} +(0.724218 + 1.08387i) q^{28} +(-1.17050 + 1.75178i) q^{29} +(6.29093 + 0.00565639i) q^{30} +(0.301321 + 1.51484i) q^{31} +(-0.923880 + 0.382683i) q^{32} +(-11.6302 - 11.6302i) q^{33} +(3.16897 - 2.63773i) q^{34} +(-0.00262084 + 2.91484i) q^{35} +(4.54102 + 1.88095i) q^{36} +(5.79208 + 3.87014i) q^{37} +0.814591 q^{38} +(12.4868 + 8.34339i) q^{39} +(-2.19271 - 0.438207i) q^{40} +(-4.40455 - 6.59188i) q^{41} +(-1.40346 + 3.38825i) q^{42} +(-0.544211 + 1.31384i) q^{43} +(3.24797 + 4.86093i) q^{44} +(6.09786 + 9.14388i) q^{45} +(-5.82170 - 3.88994i) q^{46} -0.109944 q^{47} +(-2.33925 - 1.56304i) q^{48} +(4.89724 + 2.02850i) q^{49} +(-3.52917 - 3.54189i) q^{50} +(11.1235 + 3.29016i) q^{51} +(-3.77449 - 3.77449i) q^{52} +(0.915351 - 0.379151i) q^{53} +(1.05117 + 5.28458i) q^{54} +(-0.0117539 + 13.0725i) q^{55} +(0.724218 - 1.08387i) q^{56} +(1.27324 + 1.90553i) q^{57} +(2.06637 + 0.411026i) q^{58} +(-5.08359 + 2.10569i) q^{59} +(-2.40221 - 5.81423i) q^{60} +(-4.82682 + 3.22518i) q^{61} +(1.28422 - 0.858089i) q^{62} +(-6.28410 + 1.24998i) q^{63} +(0.707107 + 0.707107i) q^{64} +(-2.31807 - 11.7087i) q^{65} +(-6.29423 + 15.1956i) q^{66} +(-4.12405 + 4.12405i) q^{67} +(-3.64966 - 1.91834i) q^{68} -19.6985i q^{69} +(2.69397 - 1.11304i) q^{70} +(-5.38952 + 1.07204i) q^{71} -4.91517i q^{72} +(1.59643 + 8.02579i) q^{73} +(1.35901 - 6.83222i) q^{74} +(2.76913 - 13.7917i) q^{75} +(-0.311731 - 0.752584i) q^{76} +(-7.04075 - 2.91637i) q^{77} +(2.92981 - 14.7291i) q^{78} +(-5.01247 - 0.997043i) q^{79} +(0.434263 + 2.19349i) q^{80} +(-0.292298 + 0.292298i) q^{81} +(-4.40455 + 6.59188i) q^{82} +(0.987480 + 2.38399i) q^{83} +3.66742 q^{84} +(-4.39510 - 8.10451i) q^{85} +1.42209 q^{86} +(2.26832 + 5.47620i) q^{87} +(3.24797 - 4.86093i) q^{88} +(0.779290 - 0.779290i) q^{89} +(6.11429 - 9.13290i) q^{90} +(6.82461 + 1.35750i) q^{91} +(-1.36596 + 6.86717i) q^{92} +(4.01457 + 1.66289i) q^{93} +(0.0420738 + 0.101575i) q^{94} +(0.356960 - 1.78616i) q^{95} +(-0.548865 + 2.75933i) q^{96} +(-2.93692 - 14.7649i) q^{97} -5.30073i q^{98} +(-28.1829 + 5.60592i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 32 q+O(q^{10}) \) 32 * q	\( 32 q + 8 q^{10} - 40 q^{15} + 16 q^{18} + 8 q^{20} - 8 q^{25} + 8 q^{26} - 72 q^{27} + 8 q^{28} + 8 q^{29} - 16 q^{31} - 64 q^{33} - 24 q^{34} + 32 q^{35} + 16 q^{37} + 32 q^{39} - 8 q^{40} + 16 q^{41} - 40 q^{42} + 48 q^{43} + 16 q^{44} + 24 q^{45} - 64 q^{47} + 16 q^{49} + 32 q^{50} + 32 q^{51} - 16 q^{52} - 24 q^{54} + 8 q^{55} + 8 q^{56} - 8 q^{57} - 16 q^{58} + 64 q^{59} - 48 q^{60} - 24 q^{61} - 24 q^{62} - 24 q^{63} - 16 q^{65} - 16 q^{67} - 16 q^{68} + 24 q^{70} + 8 q^{71} + 16 q^{73} - 8 q^{74} - 8 q^{75} + 40 q^{77} + 48 q^{78} - 72 q^{79} + 8 q^{80} + 48 q^{81} + 16 q^{82} + 16 q^{83} - 8 q^{85} - 64 q^{86} + 24 q^{87} + 16 q^{88} - 16 q^{89} + 48 q^{90} + 48 q^{91} + 8 q^{92} + 8 q^{93} - 8 q^{94} + 40 q^{95} + 16 q^{97} + 64 q^{99}+O(q^{100}) \) 32 * q + 8 * q^10 - 40 * q^15 + 16 * q^18 + 8 * q^20 - 8 * q^25 + 8 * q^26 - 72 * q^27 + 8 * q^28 + 8 * q^29 - 16 * q^31 - 64 * q^33 - 24 * q^34 + 32 * q^35 + 16 * q^37 + 32 * q^39 - 8 * q^40 + 16 * q^41 - 40 * q^42 + 48 * q^43 + 16 * q^44 + 24 * q^45 - 64 * q^47 + 16 * q^49 + 32 * q^50 + 32 * q^51 - 16 * q^52 - 24 * q^54 + 8 * q^55 + 8 * q^56 - 8 * q^57 - 16 * q^58 + 64 * q^59 - 48 * q^60 - 24 * q^61 - 24 * q^62 - 24 * q^63 - 16 * q^65 - 16 * q^67 - 16 * q^68 + 24 * q^70 + 8 * q^71 + 16 * q^73 - 8 * q^74 - 8 * q^75 + 40 * q^77 + 48 * q^78 - 72 * q^79 + 8 * q^80 + 48 * q^81 + 16 * q^82 + 16 * q^83 - 8 * q^85 - 64 * q^86 + 24 * q^87 + 16 * q^88 - 16 * q^89 + 48 * q^90 + 48 * q^91 + 8 * q^92 + 8 * q^93 - 8 * q^94 + 40 * q^95 + 16 * q^97 + 64 * q^99

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