LMFDB - Embedded newform 252.2.n.b.31.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [252,2,Mod(31,252)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(252, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 2, 1]))

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

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

chi := DirichletCharacter("252.31");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 252 = 2^{2} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	252.n (of order $6$, degree $2$, 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:	$2.01223013094$
Analytic rank:	$0$
Dimension:	$84$
Relative dimension:	$42$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			31.8
Character	$\chi$	$=$	252.31
Dual form			252.2.n.b.187.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.18174 + 0.776846i) q^{2} +(-0.238791 - 1.71551i) q^{3} +(0.793020 - 1.83606i) q^{4} +0.121070i q^{5} +(1.61488 + 1.84178i) q^{6} +(0.910048 - 2.48431i) q^{7} +(0.489193 + 2.78580i) q^{8} +(-2.88596 + 0.819299i) q^{9} +O(q^{10})$	\(q+(-1.18174 + 0.776846i) q^{2} +(-0.238791 - 1.71551i) q^{3} +(0.793020 - 1.83606i) q^{4} +0.121070i q^{5} +(1.61488 + 1.84178i) q^{6} +(0.910048 - 2.48431i) q^{7} +(0.489193 + 2.78580i) q^{8} +(-2.88596 + 0.819299i) q^{9} +(-0.0940527 - 0.143073i) q^{10} -0.787794i q^{11} +(-3.33915 - 0.921999i) q^{12} +(-1.37544 - 0.794110i) q^{13} +(0.854488 + 3.64278i) q^{14} +(0.207697 - 0.0289105i) q^{15} +(-2.74224 - 2.91207i) q^{16} +(-1.88990 - 1.09114i) q^{17} +(2.77398 - 3.21014i) q^{18} +(-2.93511 - 5.08375i) q^{19} +(0.222292 + 0.0960109i) q^{20} +(-4.47918 - 0.967966i) q^{21} +(0.611995 + 0.930968i) q^{22} +0.0882074i q^{23} +(4.66226 - 1.50444i) q^{24} +4.98534 q^{25} +(2.24231 - 0.130073i) q^{26} +(2.09466 + 4.75525i) q^{27} +(-3.83966 - 3.64101i) q^{28} +(-3.56388 - 6.17283i) q^{29} +(-0.222985 + 0.195513i) q^{30} +(-2.84243 - 4.92323i) q^{31} +(5.50284 + 1.31101i) q^{32} +(-1.35147 + 0.188119i) q^{33} +(3.08102 - 0.178725i) q^{34} +(0.300776 + 0.110180i) q^{35} +(-0.784340 + 5.94851i) q^{36} +(4.04368 + 7.00386i) q^{37} +(7.41783 + 3.72755i) q^{38} +(-1.03386 + 2.54921i) q^{39} +(-0.337277 + 0.0592266i) q^{40} +(6.59809 + 3.80941i) q^{41} +(6.04519 - 2.33575i) q^{42} +(2.85304 - 1.64720i) q^{43} +(-1.44644 - 0.624737i) q^{44} +(-0.0991925 - 0.349403i) q^{45} +(-0.0685235 - 0.104238i) q^{46} +(0.538205 - 0.932198i) q^{47} +(-4.34086 + 5.39972i) q^{48} +(-5.34362 - 4.52169i) q^{49} +(-5.89138 + 3.87284i) q^{50} +(-1.42056 + 3.50271i) q^{51} +(-2.54878 + 1.89564i) q^{52} +(-2.79216 + 4.83615i) q^{53} +(-6.16944 - 3.99224i) q^{54} +0.0953783 q^{55} +(7.36599 + 1.31991i) q^{56} +(-8.02036 + 6.24916i) q^{57} +(9.00692 + 4.52609i) q^{58} +(-4.82274 - 8.35323i) q^{59} +(0.111626 - 0.404271i) q^{60} +(7.88300 + 4.55125i) q^{61} +(7.18360 + 3.60985i) q^{62} +(-0.590967 + 7.91522i) q^{63} +(-7.52138 + 2.72559i) q^{64} +(0.0961428 - 0.166524i) q^{65} +(1.45095 - 1.27219i) q^{66} +(-3.00802 + 1.73668i) q^{67} +(-3.50213 + 2.60469i) q^{68} +(0.151321 - 0.0210632i) q^{69} +(-0.441031 + 0.103453i) q^{70} +13.4226i q^{71} +(-3.69419 - 7.63891i) q^{72} +(8.22990 + 4.75153i) q^{73} +(-10.2195 - 5.13543i) q^{74} +(-1.19046 - 8.55241i) q^{75} +(-11.6617 + 1.35751i) q^{76} +(-1.95713 - 0.716931i) q^{77} +(-0.758586 - 3.81565i) q^{78} +(13.0358 + 7.52624i) q^{79} +(0.352564 - 0.332003i) q^{80} +(7.65750 - 4.72892i) q^{81} +(-10.7566 + 0.623969i) q^{82} +(-1.15290 - 1.99689i) q^{83} +(-5.32932 + 7.45643i) q^{84} +(0.132104 - 0.228811i) q^{85} +(-2.09193 + 4.16294i) q^{86} +(-9.73853 + 7.58790i) q^{87} +(2.19464 - 0.385383i) q^{88} +(15.2992 - 8.83298i) q^{89} +(0.388652 + 0.335846i) q^{90} +(-3.22453 + 2.69434i) q^{91} +(0.161954 + 0.0699502i) q^{92} +(-7.76711 + 6.05184i) q^{93} +(0.0881561 + 1.51972i) q^{94} +(0.615490 - 0.355353i) q^{95} +(0.935020 - 9.75324i) q^{96} +(-0.600098 + 0.346467i) q^{97} +(9.82743 + 1.19229i) q^{98} +(0.645439 + 2.27354i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 84 q - q^{2} + q^{4} - 16 q^{8} - 14 q^{9}+O(q^{10}) $ 84 * q - q^2 + q^4 - 16 * q^8 - 14 * q^9	$ 84 q - q^{2} + q^{4} - 16 q^{8} - 14 q^{9} - 18 q^{10} + 9 q^{12} - 18 q^{13} - 25 q^{14} - 7 q^{16} + 6 q^{17} - 13 q^{18} + 24 q^{20} + 4 q^{21} + 6 q^{22} + 6 q^{24} - 32 q^{25} - 30 q^{26} - 4 q^{28} + 10 q^{29} + 14 q^{30} + 9 q^{32} - 6 q^{33} + 24 q^{34} - 38 q^{36} + 2 q^{37} - 6 q^{41} + 7 q^{42} - 13 q^{44} - 18 q^{45} + 10 q^{46} - 9 q^{48} + 2 q^{49} - 17 q^{50} - 2 q^{53} - 42 q^{54} - 32 q^{56} + 6 q^{57} + 26 q^{58} + 8 q^{60} - 24 q^{61} - 8 q^{64} + 50 q^{65} + 27 q^{66} + 18 q^{69} - 4 q^{70} - 7 q^{72} + 30 q^{73} + 46 q^{74} + 46 q^{77} + 15 q^{78} + 3 q^{80} - 26 q^{81} - 18 q^{82} + 29 q^{84} - 50 q^{85} + 18 q^{86} - 2 q^{88} - 102 q^{89} + 39 q^{90} + 28 q^{92} - 24 q^{93} + 3 q^{94} - 30 q^{96} - 6 q^{97} + 21 q^{98}+O(q^{100}) $ 84 * q - q^2 + q^4 - 16 * q^8 - 14 * q^9 - 18 * q^10 + 9 * q^12 - 18 * q^13 - 25 * q^14 - 7 * q^16 + 6 * q^17 - 13 * q^18 + 24 * q^20 + 4 * q^21 + 6 * q^22 + 6 * q^24 - 32 * q^25 - 30 * q^26 - 4 * q^28 + 10 * q^29 + 14 * q^30 + 9 * q^32 - 6 * q^33 + 24 * q^34 - 38 * q^36 + 2 * q^37 - 6 * q^41 + 7 * q^42 - 13 * q^44 - 18 * q^45 + 10 * q^46 - 9 * q^48 + 2 * q^49 - 17 * q^50 - 2 * q^53 - 42 * q^54 - 32 * q^56 + 6 * q^57 + 26 * q^58 + 8 * q^60 - 24 * q^61 - 8 * q^64 + 50 * q^65 + 27 * q^66 + 18 * q^69 - 4 * q^70 - 7 * q^72 + 30 * q^73 + 46 * q^74 + 46 * q^77 + 15 * q^78 + 3 * q^80 - 26 * q^81 - 18 * q^82 + 29 * q^84 - 50 * q^85 + 18 * q^86 - 2 * q^88 - 102 * q^89 + 39 * q^90 + 28 * q^92 - 24 * q^93 + 3 * q^94 - 30 * q^96 - 6 * q^97 + 21 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/252\mathbb{Z}\right)^\times$.

$n$	$29$	$73$	$127$
$\chi(n)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{1}{6}\right)$	$-1$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−1.18174	+	0.776846i	−0.835617	+	0.549313i
$2$	−1.18174	+	0.776846i	−0.835617	+	0.549313i
$3$	−0.238791	−	1.71551i	−0.137866	−	0.990451i
$3$	−0.238791	−	1.71551i	−0.137866	−	0.990451i
$4$	0.793020	−	1.83606i	0.396510	−	0.918030i
$5$			0.121070i			0.0541441i	0.999633	+	0.0270721i	$0.00861836\pi$
$5$			0.121070i			0.0541441i	−0.999633	+	0.0270721i	$0.991382\pi$
$6$	1.61488	+	1.84178i	0.659271	+	0.751905i
$7$	0.910048	−	2.48431i	0.343966	−	0.938982i
$7$	0.910048	−	2.48431i	0.343966	−	0.938982i
$8$	0.489193	+	2.78580i	0.172956	+	0.984930i
$9$	−2.88596	+	0.819299i	−0.961986	+	0.273100i
$10$	−0.0940527	−	0.143073i	−0.0297421	−	0.0452437i
$11$		−	0.787794i		−	0.237529i	−0.992922	−	0.118764i	$-0.962107\pi$
$11$		−	0.787794i		−	0.237529i	0.992922	−	0.118764i	$-0.0378933\pi$
$12$	−3.33915	−	0.921999i	−0.963929	−	0.266158i
$13$	−1.37544	−	0.794110i	−0.381478	−	0.220246i	0.296983	−	0.954883i	$-0.404019\pi$
$13$	−1.37544	−	0.794110i	−0.381478	−	0.220246i	−0.678461	+	0.734636i	$0.737353\pi$
$14$	0.854488	+	3.64278i	0.228372	+	0.973574i
$15$	0.207697	−	0.0289105i	0.0536271	−	0.00746465i
$16$	−2.74224	−	2.91207i	−0.685560	−	0.728017i
$17$	−1.88990	−	1.09114i	−0.458369	−	0.264640i	0.252989	−	0.967469i	$-0.418586\pi$
$17$	−1.88990	−	1.09114i	−0.458369	−	0.264640i	−0.711358	+	0.702830i	$0.751920\pi$
$18$	2.77398	−	3.21014i	0.653834	−	0.756638i
$19$	−2.93511	−	5.08375i	−0.673359	−	1.16629i	−0.976946	−	0.213489i	$-0.931517\pi$
$19$	−2.93511	−	5.08375i	−0.673359	−	1.16629i	0.303586	−	0.952804i	$-0.401816\pi$
$20$	0.222292	+	0.0960109i	0.0497060	+	0.0214687i
$21$	−4.47918	−	0.967966i	−0.977437	−	0.211227i
$22$	0.611995	+	0.930968i	0.130478	+	0.198483i
$23$			0.0882074i			0.0183925i	0.999958	+	0.00919625i	$0.00292730\pi$
$23$			0.0882074i			0.0183925i	−0.999958	+	0.00919625i	$0.997073\pi$
$24$	4.66226	−	1.50444i	0.951680	−	0.307093i
$25$	4.98534			0.997068
$26$	2.24231	−	0.130073i	0.439754	−	0.0255093i
$27$	2.09466	+	4.75525i	0.403117	+	0.915148i
$28$	−3.83966	−	3.64101i	−0.725628	−	0.688087i
$29$	−3.56388	−	6.17283i	−0.661796	−	1.14626i	−0.980143	−	0.198291i	$-0.936461\pi$
$29$	−3.56388	−	6.17283i	−0.661796	−	1.14626i	0.318347	−	0.947974i	$-0.396872\pi$
$30$	−0.222985	+	0.195513i	−0.0407113	+	0.0356957i
$31$	−2.84243	−	4.92323i	−0.510515	−	0.884238i	−0.999926	−	0.0121847i	$-0.996121\pi$
$31$	−2.84243	−	4.92323i	−0.510515	−	0.884238i	0.489411	−	0.872053i	$-0.337212\pi$
$32$	5.50284	+	1.31101i	0.972774	+	0.231756i
$33$	−1.35147	+	0.188119i	−0.235261	+	0.0327472i
$34$	3.08102	−	0.178725i	0.528391	−	0.0306510i
$35$	0.300776	+	0.110180i	0.0508404	+	0.0186237i
$36$	−0.784340	+	5.94851i	−0.130723	+	0.991419i
$37$	4.04368	+	7.00386i	0.664777	+	1.15143i	0.979346	+	0.202193i	$0.0648067\pi$
$37$	4.04368	+	7.00386i	0.664777	+	1.15143i	−0.314569	+	0.949235i	$0.601860\pi$
$38$	7.41783	+	3.72755i	1.20333	+	0.604688i
$39$	−1.03386	+	2.54921i	−0.165550	+	0.408200i
$40$	−0.337277	+	0.0592266i	−0.0533282	+	0.00936454i
$41$	6.59809	+	3.80941i	1.03045	+	0.594930i	0.917113	−	0.398627i	$-0.130513\pi$
$41$	6.59809	+	3.80941i	1.03045	+	0.594930i	0.113335	+	0.993557i	$0.463847\pi$
$42$	6.04519	−	2.33575i	0.932793	−	0.360414i
$43$	2.85304	−	1.64720i	0.435084	−	0.251196i	−0.266426	−	0.963855i	$-0.585843\pi$
$43$	2.85304	−	1.64720i	0.435084	−	0.251196i	0.701510	+	0.712659i	$0.252509\pi$
$44$	−1.44644	−	0.624737i	−0.218059	−	0.0941826i
$45$	−0.0991925	−	0.349403i	−0.0147867	−	0.0520859i
$46$	−0.0685235	−	0.104238i	−0.0101032	−	0.0153691i
$47$	0.538205	−	0.932198i	0.0785052	−	0.135975i	−0.824100	−	0.566444i	$-0.808319\pi$
$47$	0.538205	−	0.932198i	0.0785052	−	0.135975i	0.902605	+	0.430469i	$0.141652\pi$
$48$	−4.34086	+	5.39972i	−0.626549	+	0.779382i
$49$	−5.34362	−	4.52169i	−0.763375	−	0.645956i
$50$	−5.89138	+	3.87284i	−0.833167	+	0.547703i
$51$	−1.42056	+	3.50271i	−0.198919	+	0.490477i
$52$	−2.54878	+	1.89564i	−0.353453	+	0.262878i
$53$	−2.79216	+	4.83615i	−0.383532	+	0.664297i	−0.991564	−	0.129615i	$-0.958626\pi$
$53$	−2.79216	+	4.83615i	−0.383532	+	0.664297i	0.608032	+	0.793912i	$0.291959\pi$
$54$	−6.16944	−	3.99224i	−0.839554	−	0.543276i
$55$	0.0953783			0.0128608
$56$	7.36599	+	1.31991i	0.984322	+	0.176380i
$57$	−8.02036	+	6.24916i	−1.06232	+	0.827722i
$58$	9.00692	+	4.52609i	1.18267	+	0.594304i
$59$	−4.82274	−	8.35323i	−0.627868	−	1.08750i	−0.987979	−	0.154589i	$-0.950595\pi$
$59$	−4.82274	−	8.35323i	−0.627868	−	1.08750i	0.360111	−	0.932909i	$-0.382739\pi$
$60$	0.111626	−	0.404271i	0.0144109	−	0.0521911i
$61$	7.88300	+	4.55125i	1.00931	+	0.582728i	0.910991	−	0.412427i	$-0.135319\pi$
$61$	7.88300	+	4.55125i	1.00931	+	0.582728i	0.0983234	+	0.995155i	$0.468652\pi$
$62$	7.18360	+	3.60985i	0.912319	+	0.458451i
$63$	−0.590967	+	7.91522i	−0.0744548	+	0.997224i
$64$	−7.52138	+	2.72559i	−0.940173	+	0.340699i
$65$	0.0961428	−	0.166524i	0.0119251	−	0.0206548i
$66$	1.45095	−	1.27219i	0.178599	−	0.156596i
$67$	−3.00802	+	1.73668i	−0.367488	+	0.212169i	−0.672361	−	0.740224i	$-0.734720\pi$
$67$	−3.00802	+	1.73668i	−0.367488	+	0.212169i	0.304872	+	0.952393i	$0.401386\pi$
$68$	−3.50213	+	2.60469i	−0.424695	+	0.315865i
$69$	0.151321	−	0.0210632i	0.0182169	−	0.00253571i
$70$	−0.441031	+	0.103453i	−0.0527133	+	0.0123650i
$71$			13.4226i			1.59297i	0.604658	+	0.796485i	$0.293310\pi$
$71$			13.4226i			1.59297i	−0.604658	+	0.796485i	$0.706690\pi$
$72$	−3.69419	−	7.63891i	−0.435365	−	0.900254i
$73$	8.22990	+	4.75153i	0.963237	+	0.556125i	0.897168	−	0.441690i	$-0.145621\pi$
$73$	8.22990	+	4.75153i	0.963237	+	0.556125i	0.0660689	+	0.997815i	$0.478954\pi$
$74$	−10.2195	−	5.13543i	−1.18799	−	0.596981i
$75$	−1.19046	−	8.55241i	−0.137462	−	0.987547i
$76$	−11.6617	+	1.35751i	−1.33769	+	0.155718i
$77$	−1.95713	−	0.716931i	−0.223035	−	0.0817019i
$78$	−0.758586	−	3.81565i	−0.0858929	−	0.432037i
$79$	13.0358	+	7.52624i	1.46664	+	0.846768i	0.999304	−	0.0373093i	$-0.0118787\pi$
$79$	13.0358	+	7.52624i	1.46664	+	0.846768i	0.467341	+	0.884077i	$0.345212\pi$
$80$	0.352564	−	0.332003i	0.0394178	−	0.0371190i
$81$	7.65750	−	4.72892i	0.850833	−	0.525436i
$82$	−10.7566	+	0.623969i	−1.18786	+	0.0689058i
$83$	−1.15290	−	1.99689i	−0.126548	−	0.219187i	0.795789	−	0.605574i	$-0.207056\pi$
$83$	−1.15290	−	1.99689i	−0.126548	−	0.219187i	−0.922337	+	0.386387i	$0.873723\pi$
$84$	−5.32932	+	7.45643i	−0.581477	+	0.813563i
$85$	0.132104	−	0.228811i	0.0143287	−	0.0248180i
$86$	−2.09193	+	4.16294i	−0.225578	+	0.448901i
$87$	−9.73853	+	7.58790i	−1.04408	+	0.813508i
$88$	2.19464	−	0.385383i	0.233949	−	0.0410820i
$89$	15.2992	−	8.83298i	1.62171	−	0.936294i	0.635247	−	0.772309i	$-0.280898\pi$
$89$	15.2992	−	8.83298i	1.62171	−	0.936294i	0.986463	−	0.163985i	$-0.0524349\pi$
$90$	0.388652	+	0.335846i	0.0409675	+	0.0354013i
$91$	−3.22453	+	2.69434i	−0.338023	+	0.282444i
$92$	0.161954	+	0.0699502i	0.0168849	+	0.00729281i
$93$	−7.76711	+	6.05184i	−0.805412	+	0.627547i
$94$	0.0881561	+	1.51972i	0.00909261	+	0.156747i
$95$	0.615490	−	0.355353i	0.0631479	−	0.0364585i
$96$	0.935020	−	9.75324i	0.0954300	−	0.995436i
$97$	−0.600098	+	0.346467i	−0.0609307	+	0.0351784i	−0.530156	−	0.847900i	$-0.677867\pi$
$97$	−0.600098	+	0.346467i	−0.0609307	+	0.0351784i	0.469225	+	0.883079i	$0.344533\pi$
$98$	9.82743	+	1.19229i	0.992721	+	0.120440i
$99$	0.645439	+	2.27354i	0.0648691	+	0.228499i
$100$	3.95348	−	9.15339i	0.395348	−	0.915339i
$101$		−	17.1396i		−	1.70545i	−0.522359	−	0.852726i	$-0.674948\pi$
$101$		−	17.1396i		−	1.70545i	0.522359	−	0.852726i	$-0.325052\pi$
$102$	−1.04233	−	5.24285i	−0.103206	−	0.519119i
$103$	5.64688			0.556404			0.278202	−	0.960523i	$-0.410262\pi$
$103$	5.64688			0.556404			0.278202	+	0.960523i	$0.410262\pi$
$104$	1.53938	−	4.22017i	0.150948	−	0.413822i
$105$	0.117192	−	0.542294i	0.0114367	−	0.0529225i
$106$	−0.457346	−	7.88415i	−0.0444214	−	0.765777i
$107$	7.99717	−	4.61717i	0.773116	−	0.446359i	−0.0608692	−	0.998146i	$-0.519387\pi$
$107$	7.99717	−	4.61717i	0.773116	−	0.446359i	0.833985	+	0.551787i	$0.186054\pi$
$108$	10.3920	−	0.0749097i	0.999974	−	0.00720819i
$109$	2.86498	−	4.96229i	0.274415	−	0.475301i	−0.695572	−	0.718456i	$-0.744849\pi$
$109$	2.86498	−	4.96229i	0.274415	−	0.475301i	0.969987	+	0.243155i	$0.0781824\pi$
$110$	−0.112712	+	0.0740942i	−0.0107467	+	0.00706461i
$111$	11.0496	−	8.60944i	1.04878	−	0.817172i
$112$	−9.73005	+	4.16246i	−0.919404	+	0.393315i
$113$	3.13541	−	5.43069i	0.294955	−	0.510877i	−0.680020	−	0.733194i	$-0.738029\pi$
$113$	3.13541	−	5.43069i	0.294955	−	0.510877i	0.974974	+	0.222317i	$0.0713621\pi$
$114$	4.62334	−	13.6155i	0.433015	−	1.27521i
$115$	−0.0106793			−0.000995846
$116$	−14.1599	+	1.64833i	−1.31471	+	0.153044i
$117$	4.62007	+	1.16487i	0.427126	+	0.107692i
$118$	12.1884	+	6.12482i	1.12203	+	0.563836i
$119$	−4.43063	+	3.70213i	−0.406155	+	0.339373i
$120$	0.182143	+	0.564460i	0.0166273	+	0.0515279i
$121$	10.3794			0.943580
$122$	−12.8513	+	0.745480i	−1.16350	+	0.0674926i
$123$	4.95952	−	12.2288i	0.447185	−	1.10263i
$124$	−11.2935	+	1.31465i	−1.01418	+	0.118059i
$125$			1.20893i			0.108130i
$126$	−5.45054	−	9.81283i	−0.485573	−	0.874196i
$127$			16.2397i			1.44104i	0.693436	+	0.720519i	$0.256096\pi$
$127$			16.2397i			1.44104i	−0.693436	+	0.720519i	$0.743904\pi$
$128$	6.77096	−	9.06389i	0.598474	−	0.801143i
$129$	−3.50708	−	4.50108i	−0.308781	−	0.396298i
$130$	0.0157479	+	0.271477i	0.00138118	+	0.0238101i
$131$	0.536875			0.0469070			0.0234535	−	0.999725i	$-0.492534\pi$
$131$	0.536875			0.0469070			0.0234535	+	0.999725i	$0.492534\pi$
$132$	−0.726346	+	2.63056i	−0.0632203	+	0.228961i
$133$	−15.3007	+	2.66526i	−1.32674	+	0.231107i
$134$	2.20556	−	4.38908i	0.190532	−	0.379158i
$135$	−0.575718	+	0.253600i	−0.0495499	+	0.0218264i
$136$	2.11516	−	5.79868i	0.181374	−	0.497232i
$137$	−13.1758			−1.12568			−0.562842	−	0.826564i	$-0.690292\pi$
$137$	−13.1758			−1.12568			−0.562842	+	0.826564i	$0.690292\pi$
$138$	−0.162459	+	0.142444i	−0.0138294	+	0.0121256i
$139$	6.07703	−	10.5257i	0.515447	−	0.892780i	−0.484392	−	0.874851i	$-0.660959\pi$
$139$	6.07703	−	10.5257i	0.515447	−	0.892780i	0.999839	−	0.0179295i	$-0.00570745\pi$
$140$	0.440818	−	0.464868i	0.0372559	−	0.0392885i
$141$	−1.72771	−	0.700695i	−0.145500	−	0.0590092i
$142$	−10.4273	−	15.8620i	−0.875039	−	1.33111i
$143$	−0.625595	+	1.08356i	−0.0523149	+	0.0906121i
$144$	10.2998	+	6.15739i	0.858320	+	0.513116i
$145$	0.747344	−	0.431479i	0.0620635	−	0.0358324i
$146$	−13.4168	+	0.778286i	−1.11038	+	0.0644114i
$147$	−6.48100	+	10.2468i	−0.534544	+	0.845141i
$148$	16.0662	−	1.87024i	1.32064	−	0.153733i
$149$	−13.7637			−1.12757			−0.563783	−	0.825923i	$-0.690654\pi$
$149$	−13.7637			−1.12757			−0.563783	+	0.825923i	$0.690654\pi$
$150$	8.05072	+	9.18193i	0.657338	+	0.749701i
$151$			13.4847i			1.09737i	0.836029	+	0.548686i	$0.184872\pi$
$151$			13.4847i			1.09737i	−0.836029	+	0.548686i	$0.815128\pi$
$152$	12.7265	−	10.6636i	1.03225	−	0.864929i
$153$	6.34815	+	1.60058i	0.513218	+	0.129399i
$154$	2.86976	−	0.673161i	0.231252	−	0.0542449i
$155$	0.596055	−	0.344133i	0.0478763	−	0.0276414i
$156$	3.86063	+	3.91980i	0.309097	+	0.313836i
$157$	−10.9498	+	6.32185i	−0.873887	+	0.504539i	−0.868638	−	0.495447i	$-0.835004\pi$
$157$	−10.9498	+	6.32185i	−0.873887	+	0.504539i	−0.00524883	+	0.999986i	$0.501671\pi$
$158$	−21.2517	+	1.23277i	−1.69069	+	0.0980741i
$159$	8.96322	+	3.63514i	0.710830	+	0.288285i
$160$	−0.158724	+	0.666229i	−0.0125482	+	0.0526700i
$161$	0.219135	+	0.0802730i	0.0172702	+	0.00632640i
$162$	−5.37553	+	11.5371i	−0.422342	+	0.906437i
$163$	−2.17260	+	1.25435i	−0.170171	+	0.0982486i	−0.582667	−	0.812711i	$-0.697991\pi$
$163$	−2.17260	+	1.25435i	−0.170171	+	0.0982486i	0.412495	+	0.910960i	$0.364657\pi$
$164$	12.2267	−	9.09356i	0.954747	−	0.710087i
$165$	−0.0227755	−	0.163622i	−0.00177307	−	0.0127380i
$166$	2.91371	+	1.46417i	0.226148	+	0.113642i
$167$	−6.67408	+	11.5598i	−0.516456	+	0.894527i	0.483362	+	0.875421i	$0.339416\pi$
$167$	−6.67408	+	11.5598i	−0.516456	+	0.894527i	−0.999817	+	0.0191068i	$0.993918\pi$
$168$	0.505378	−	12.9516i	0.0389908	−	0.999240i
$169$	−5.23878	−	9.07383i	−0.402983	−	0.697987i
$170$	0.0216382	+	0.373019i	0.00165957	+	0.0286093i
$171$	12.6357	+	12.2668i	0.966276	+	0.938063i
$172$	−0.761847	−	6.54462i	−0.0580903	−	0.499022i
$173$	10.0949	+	5.82831i	0.767503	+	0.443118i	0.831983	−	0.554801i	$-0.187206\pi$
$173$	10.0949	+	5.82831i	0.767503	+	0.443118i	−0.0644801	+	0.997919i	$0.520539\pi$
$174$	5.61378	−	16.5323i	0.425580	−	1.25331i
$175$	4.53690	−	12.3852i	0.342958	−	0.936229i
$176$	−2.29411	+	2.16032i	−0.172925	+	0.162840i
$177$	−13.1784	+	10.2681i	−0.990552	+	0.771801i
$178$	−11.2178	+	22.3234i	−0.840808	+	1.67321i
$179$	−13.7381	−	7.93170i	−1.02683	−	0.592843i	−0.110759	−	0.993847i	$-0.535328\pi$
$179$	−13.7381	−	7.93170i	−1.02683	−	0.592843i	−0.916076	+	0.401004i	$0.868661\pi$
$180$	−0.720186	−	0.0949600i	−0.0536795	−	0.00707790i
$181$			1.00851i			0.0749616i	0.999297	+	0.0374808i	$0.0119333\pi$
$181$			1.00851i			0.0749616i	−0.999297	+	0.0374808i	$0.988067\pi$
$182$	1.71747	−	5.68898i	0.127307	−	0.421695i
$183$	5.92533	−	14.6102i	0.438013	−	1.08001i
$184$	−0.245728	+	0.0431504i	−0.0181153	+	0.00318109i
$185$	−0.847957	+	0.489568i	−0.0623430	+	0.0359938i
$186$	4.47735	−	13.1856i	0.328296	−	0.966812i
$187$	−0.859592	+	1.48886i	−0.0628596	+	0.108876i
$188$	−1.28476	−	1.72743i	−0.0937011	−	0.125986i
$189$	13.7198	−	0.876278i	0.997967	−	0.0637398i
$190$	−0.451294	+	0.898076i	−0.0327403	+	0.0651533i
$191$	−5.86488	−	3.38609i	−0.424368	−	0.245009i	0.272577	−	0.962134i	$-0.412124\pi$
$191$	−5.86488	−	3.38609i	−0.424368	−	0.245009i	−0.696944	+	0.717125i	$0.745457\pi$
$192$	6.47182	+	12.2522i	0.467063	+	0.884224i
$193$	0.551380	+	0.955019i	0.0396892	+	0.0687438i	0.885188	−	0.465234i	$-0.154030\pi$
$193$	0.551380	+	0.955019i	0.0396892	+	0.0687438i	−0.845498	+	0.533978i	$0.820697\pi$
$194$	0.440008	−	0.875617i	0.0315908	−	0.0628656i
$195$	−0.308632	−	0.125170i	−0.0221016	−	0.00896358i
$196$	−12.5397	+	6.22543i	−0.895693	+	0.444673i
$197$	9.04425			0.644376			0.322188	−	0.946676i	$-0.395582\pi$
$197$	9.04425			0.644376			0.322188	+	0.946676i	$0.395582\pi$
$198$	−2.52893	−	2.18533i	−0.179723	−	0.155305i
$199$	−3.45279	+	5.98040i	−0.244761	+	0.423939i	−0.962065	−	0.272822i	$-0.912043\pi$
$199$	−3.45279	+	5.98040i	−0.244761	+	0.423939i	0.717303	+	0.696761i	$0.245376\pi$
$200$	2.43879	+	13.8882i	0.172449	+	0.982042i
$201$	3.69759	+	4.74559i	0.260808	+	0.334728i
$202$	13.3148	+	20.2545i	0.936827	+	1.42510i
$203$	−18.5785	+	3.23623i	−1.30396	+	0.227139i
$204$	5.30465	+	5.38596i	0.371399	+	0.377093i
$205$	−0.461205	+	0.798831i	−0.0322120	+	0.0557927i
$206$	−6.67315	+	4.38676i	−0.464940	+	0.305640i
$207$	−0.0722682	−	0.254563i	−0.00502299	−	0.0176933i
$208$	1.45928	+	6.18301i	0.101183	+	0.428714i
$209$	−4.00495	+	2.31226i	−0.277028	+	0.159942i
$210$	0.282789	+	0.731891i	0.0195143	+	0.0505052i
$211$	−24.4873	−	14.1377i	−1.68577	−	0.973281i	−0.957694	−	0.287788i	$-0.907080\pi$
$211$	−24.4873	−	14.1377i	−1.68577	−	0.973281i	−0.728079	−	0.685494i	$-0.759586\pi$
$212$	6.66524	+	8.96173i	0.457770	+	0.615494i
$213$	23.0266	−	3.20520i	1.57776	−	0.219617i
$214$	−5.86375	+	11.6689i	−0.400838	+	0.797667i
$215$	0.199427	+	0.345417i	0.0136008	+	0.0235573i
$216$	−12.2225	+	8.16154i	−0.831635	+	0.555322i
$217$	−14.8176	+	2.58110i	−1.00588	+	0.175217i
$218$	0.469274	+	8.08979i	0.0317833	+	0.547910i
$219$	6.18608	−	15.2531i	0.418017	−	1.03071i
$220$	0.0756369	−	0.175120i	0.00509944	−	0.0118066i
$221$	1.73297	+	3.00158i	0.116572	+	0.201908i
$222$	−6.36955	+	18.7580i	−0.427496	+	1.25895i
$223$	−8.22688	−	14.2494i	−0.550913	−	0.954209i	−0.998209	−	0.0598231i	$-0.980946\pi$
$223$	−8.22688	−	14.2494i	−0.550913	−	0.954209i	0.447296	−	0.894386i	$-0.352387\pi$
$224$	8.26481	−	12.4777i	0.552216	−	0.833701i
$225$	−14.3875	+	4.08448i	−0.959166	+	0.272299i
$226$	0.513570	+	8.85340i	0.0341622	+	0.588920i
$227$	23.9055			1.58666			0.793332	−	0.608789i	$-0.208344\pi$
$227$	23.9055			1.58666			0.793332	+	0.608789i	$0.208344\pi$
$228$	5.11354	+	19.6816i	0.338652	+	1.30344i
$229$			19.5051i			1.28894i	0.764631	+	0.644468i	$0.222921\pi$
$229$			19.5051i			1.28894i	−0.764631	+	0.644468i	$0.777079\pi$
$230$	0.0126201	−	0.00829614i	0.000832146	−	0.000547032i
$231$	−0.762558	+	3.52867i	−0.0501726	+	0.232170i
$232$	15.4528	−	12.9480i	1.01453	−	0.850076i
$233$	4.78357	+	8.28538i	0.313382	+	0.542793i	0.979092	−	0.203417i	$-0.0652047\pi$
$233$	4.78357	+	8.28538i	0.313382	+	0.542793i	−0.665710	+	0.746210i	$0.731871\pi$
$234$	−6.36465	+	2.21251i	−0.416070	+	0.144636i
$235$	0.112861	+	0.0651604i	0.00736225	+	0.00425060i
$236$	−19.1616	+	2.23056i	−1.24731	+	0.145197i
$237$	9.79850	−	24.1603i	0.636481	−	1.56938i
$238$	2.35987	−	7.81687i	0.152968	−	0.506693i
$239$	10.1872	+	5.88159i	0.658956	+	0.380449i	0.791879	−	0.610678i	$-0.209103\pi$
$239$	10.1872	+	5.88159i	0.658956	+	0.380449i	−0.132923	+	0.991126i	$0.542436\pi$
$240$	−0.653744	−	0.525548i	−0.0421990	−	0.0339240i
$241$		−	20.2956i		−	1.30735i	−0.756774	−	0.653677i	$-0.773225\pi$
$241$		−	20.2956i		−	1.30735i	0.756774	−	0.653677i	$-0.226775\pi$
$242$	−12.2657	+	8.06318i	−0.788471	+	0.518321i
$243$	−9.94106	−	12.0073i	−0.637720	−	0.770269i
$244$	14.6077	−	10.8644i	0.935165	−	0.695524i
$245$	0.547441	−	0.646952i	0.0349747	−	0.0413323i
$246$	3.63900	+	18.3040i	0.232014	+	1.16702i
$247$			9.32318i			0.593220i
$248$	12.3246	−	10.3268i	0.782616	−	0.655756i
$249$	−3.15038	+	2.45466i	−0.199647	+	0.155558i
$250$	−0.939149	−	1.42864i	−0.0593970	−	0.0903548i
$251$	−14.5706			−0.919691			−0.459845	−	0.887999i	$-0.652095\pi$
$251$	−14.5706			−0.919691			−0.459845	+	0.887999i	$0.652095\pi$
$252$	14.0642	+	7.36198i	0.885960	+	0.463761i
$253$	0.0694893			0.00436875
$254$	−12.6157	−	19.1911i	−0.791581	−	1.20415i
$255$	−0.424073	−	0.171988i	−0.0265565	−	0.0107703i
$256$	−0.960261	+	15.9712i	−0.0600163	+	0.998197i
$257$			12.5551i			0.783166i	0.920143	+	0.391583i	$0.128072\pi$
$257$			12.5551i			0.783166i	−0.920143	+	0.391583i	$0.871928\pi$
$258$	7.64110	+	2.59465i	0.475714	+	0.161536i
$259$	21.0797	−	3.67192i	1.30983	−	0.228162i
$260$	−0.229506	−	0.308581i	−0.0142333	−	0.0191374i
$261$	15.3426	+	14.8946i	0.949683	+	0.921954i
$262$	−0.634447	+	0.417069i	−0.0391963	+	0.0257666i
$263$		−	3.38719i		−	0.208863i	−0.994532	−	0.104432i	$-0.966698\pi$
$263$		−	3.38719i		−	0.208863i	0.994532	−	0.104432i	$-0.0333023\pi$
$264$	−1.18519	−	3.67290i	−0.0729434	−	0.226051i
$265$	−0.585513	−	0.338046i	−0.0359678	−	0.0207660i
$266$	16.0110	−	15.0360i	0.981696	−	0.921913i
$267$	−18.8064	−	24.1367i	−1.15093	−	1.47714i
$268$	0.803232	+	6.90013i	0.0490652	+	0.421493i
$269$	−25.3711	−	14.6480i	−1.54690	−	0.893104i	−0.998376	−	0.0569705i	$-0.981856\pi$
$269$	−25.3711	−	14.6480i	−1.54690	−	0.893104i	−0.548526	−	0.836134i	$-0.684811\pi$
$270$	0.483341	−	0.746934i	0.0294152	−	0.0454569i
$271$	−0.767688	−	1.32967i	−0.0466337	−	0.0807720i	0.841766	−	0.539842i	$-0.181516\pi$
$271$	−0.767688	−	1.32967i	−0.0466337	−	0.0807720i	−0.888400	+	0.459070i	$0.848183\pi$
$272$	2.00511	+	8.49568i	0.121577	+	0.515127i
$273$	5.39216	+	4.88834i	0.326349	+	0.295856i
$274$	15.5704	−	10.2356i	0.940641	−	0.618353i
$275$		−	3.92742i		−	0.236833i
$276$	0.0813271	−	0.294538i	0.00489532	−	0.0177291i
$277$	20.2971			1.21953			0.609767	−	0.792581i	$-0.291263\pi$
$277$	20.2971			1.21953			0.609767	+	0.792581i	$0.291263\pi$
$278$	0.995398	+	17.1596i	0.0597000	+	1.02916i
$279$	12.2367	+	11.8794i	0.732593	+	0.711203i
$280$	−0.159801	+	0.891801i	−0.00954994	+	0.0532953i
$281$	13.9539	+	24.1689i	0.832421	+	1.44180i	0.896113	+	0.443826i	$0.146379\pi$
$281$	13.9539	+	24.1689i	0.832421	+	1.44180i	−0.0636914	+	0.997970i	$0.520287\pi$
$282$	2.58604	−	0.514128i	0.153997	−	0.0306159i
$283$	4.79034	+	8.29712i	0.284756	+	0.493213i	0.972550	−	0.232694i	$-0.0747539\pi$
$283$	4.79034	+	8.29712i	0.284756	+	0.493213i	−0.687794	+	0.725906i	$0.741421\pi$
$284$	24.6447	+	10.6444i	1.46239	+	0.631629i
$285$	−0.756586	−	0.971024i	−0.0448163	−	0.0575185i
$286$	−0.102470	−	1.76648i	−0.00605920	−	0.104454i
$287$	15.4683	−	12.9250i	0.913068	−	0.762937i
$288$	−16.9551	+	0.724954i	−0.999087	+	0.0427183i
$289$	−6.11884	−	10.5981i	−0.359932	−	0.623420i
$290$	−0.547973	+	1.09047i	−0.0321781	+	0.0640345i
$291$	0.737665	+	0.946741i	0.0432427	+	0.0554989i
$292$	15.2506	−	11.3425i	0.892473	−	0.663771i
$293$	3.48475	+	2.01192i	0.203581	+	0.117538i	0.598325	−	0.801254i	$-0.295833\pi$
$293$	3.48475	+	2.01192i	0.203581	+	0.117538i	−0.394743	+	0.918791i	$0.629167\pi$
$294$	−0.301318	−	17.1438i	−0.0175732	−	0.999846i
$295$	1.01133	−	0.583889i	0.0588817	−	0.0339953i
$296$	−17.5332	+	14.6911i	−1.01910	+	0.853904i
$297$	3.74616	−	1.65016i	0.217374	−	0.0957520i
$298$	16.2651	−	10.6923i	0.942212	−	0.619386i
$299$	0.0700463	−	0.121324i	0.00405088	−	0.00701634i
$300$	−16.6468	−	4.59648i	−0.961103	−	0.265378i
$301$	−1.49576	−	8.58688i	−0.0862144	−	0.494939i
$302$	−10.4756	−	15.9354i	−0.602801	−	0.916982i
$303$	−29.4031	+	4.09278i	−1.68917	+	0.235124i
$304$	−6.75546	+	22.4881i	−0.387452	+	1.28978i
$305$	−0.551020	+	0.954394i	−0.0315513	+	0.0546484i
$306$	−8.74527	+	3.04007i	−0.499934	+	0.173789i
$307$	−9.06875			−0.517581			−0.258790	−	0.965934i	$-0.583324\pi$
$307$	−9.06875			−0.517581			−0.258790	+	0.965934i	$0.583324\pi$
$308$	−2.86837	+	3.02487i	−0.163441	+	0.172358i
$309$	−1.34843	−	9.68729i	−0.0767094	−	0.551091i
$310$	−0.437044	+	0.869719i	−0.0248225	+	0.0493967i
$311$	−4.50712	−	7.80656i	−0.255575	−	0.442669i	0.709476	−	0.704729i	$-0.248932\pi$
$311$	−4.50712	−	7.80656i	−0.255575	−	0.442669i	−0.965052	+	0.262060i	$0.915598\pi$
$312$	−7.60734	−	1.63308i	−0.430681	−	0.0924549i
$313$	−22.7315	−	13.1240i	−1.28486	−	0.741814i	−0.307127	−	0.951669i	$-0.599368\pi$
$313$	−22.7315	−	13.1240i	−1.28486	−	0.741814i	−0.977733	+	0.209855i	$0.932701\pi$
$314$	8.02868	−	15.9771i	0.453084	−	0.901638i
$315$	−0.958296	−	0.0715483i	−0.0539939	−	0.00403129i
$316$	24.1563	−	17.9661i	1.35890	−	1.01067i
$317$	−5.59002	+	9.68220i	−0.313967	+	0.543807i	−0.979217	−	0.202814i	$-0.934991\pi$
$317$	−5.59002	+	9.68220i	−0.313967	+	0.543807i	0.665250	+	0.746620i	$0.268325\pi$
$318$	−13.4161	+	2.66725i	−0.752340	+	0.149572i
$319$	−4.86292	+	2.80761i	−0.272271	+	0.157196i
$320$	−0.329987	−	0.910613i	−0.0184468	−	0.0509048i
$321$	−9.83046	−	12.6167i	−0.548683	−	0.704195i
$322$	−0.321320	+	0.0753721i	−0.0179065	+	0.00420032i
$323$			12.8104i			0.712790i
$324$	−2.61004	−	17.8098i	−0.145002	−	0.989431i
$325$	−6.85703	−	3.95891i	−0.380360	−	0.219601i
$326$	1.59301	−	3.17010i	0.0882289	−	0.175576i
$327$	−9.19700	−	3.72995i	−0.508595	−	0.206267i
$328$	−7.38452	+	20.2445i	−0.407742	+	1.11782i
$329$	−1.82608	−	2.18541i	−0.100675	−	0.120486i
$330$	0.154024	+	0.175666i	0.00847875	+	0.00967011i
$331$	14.2070	+	8.20240i	0.780886	+	0.450845i	0.836744	−	0.547594i	$-0.184456\pi$
$331$	14.2070	+	8.20240i	0.780886	+	0.450845i	−0.0558582	+	0.998439i	$0.517789\pi$
$332$	−4.58068	+	0.533229i	−0.251398	+	0.0292647i
$333$	−17.4081	−	16.8999i	−0.953960	−	0.926106i
$334$	−1.09319	−	18.8455i	−0.0598168	−	1.03118i
$335$	−0.210260	−	0.364181i	−0.0114877	−	0.0198973i
$336$	9.46419	+	15.6981i	0.516314	+	0.856399i
$337$	3.97568	−	6.88607i	0.216569	−	0.375108i	−0.737188	−	0.675688i	$-0.763847\pi$
$337$	3.97568	−	6.88607i	0.216569	−	0.375108i	0.953757	+	0.300580i	$0.0971801\pi$
$338$	13.2398	+	6.65319i	0.720153	+	0.361886i
$339$	−10.0651	−	4.08203i	−0.546663	−	0.221706i
$340$	−0.315349	−	0.424002i	−0.0171022	−	0.0229948i
$341$	−3.87849	+	2.23925i	−0.210032	+	0.121262i
$342$	−24.4615	−	4.68013i	−1.32273	−	0.253073i
$343$	−16.0963	+	9.16028i	−0.869116	+	0.494608i
$344$	5.98447	+	7.14220i	0.322661	+	0.385082i
$345$	0.00255012	+	0.0183204i	0.000137294	+	0.000986337i
$346$	−16.4573	+	0.954658i	−0.884749	+	0.0513227i
$347$	31.4932	−	18.1826i	1.69064	−	0.976092i	0.736642	−	0.676283i	$-0.236410\pi$
$347$	31.4932	−	18.1826i	1.69064	−	0.976092i	0.953999	−	0.299809i	$-0.0969229\pi$
$348$	6.20899	+	23.8979i	0.332837	+	1.28106i
$349$	−1.38047	+	0.797016i	−0.0738950	+	0.0426633i	−0.536492	−	0.843905i	$-0.680251\pi$
$349$	−1.38047	+	0.797016i	−0.0738950	+	0.0426633i	0.462597	+	0.886569i	$0.346918\pi$
$350$	4.25992	+	18.1605i	0.227702	+	0.970720i
$351$	0.895118	−	8.20394i	0.0477779	−	0.437894i
$352$	1.03281	−	4.33511i	0.0550487	−	0.231062i
$353$			23.8479i			1.26929i	0.772802	+	0.634647i	$0.218855\pi$
$353$			23.8479i			1.26929i	−0.772802	+	0.634647i	$0.781145\pi$
$354$	7.59672	−	22.3719i	0.403761	−	1.18905i
$355$	−1.62507			−0.0862500
$356$	−4.08534	−	35.0950i	−0.216523	−	1.86003i
$357$	7.40904	+	6.71676i	0.392128	+	0.355489i
$358$	22.3966	−	1.29919i	1.18370	−	0.0686642i
$359$	19.5420	−	11.2826i	1.03139	−	0.595472i	0.114006	−	0.993480i	$-0.463632\pi$
$359$	19.5420	−	11.2826i	1.03139	−	0.595472i	0.917382	+	0.398008i	$0.130298\pi$
$360$	0.924843	−	0.447256i	0.0487435	−	0.0235725i
$361$	−7.72969	+	13.3882i	−0.406826	+	0.704643i
$362$	−0.783454	−	1.19179i	−0.0411774	−	0.0626392i
$363$	−2.47851	−	17.8059i	−0.130088	−	0.934570i
$364$	2.38985	+	8.05711i	0.125262	+	0.422307i
$365$	−0.575268	+	0.996393i	−0.0301109	+	0.0521536i
$366$	4.34765	+	21.8685i	0.227255	+	1.14308i
$367$	−17.9247			−0.935664			−0.467832	−	0.883817i	$-0.654965\pi$
$367$	−17.9247			−0.935664			−0.467832	+	0.883817i	$0.654965\pi$
$368$	0.256866	−	0.241886i	0.0133900	−	0.0126092i
$369$	−22.1629	−	5.58799i	−1.15375	−	0.290899i
$370$	0.621746	−	1.23727i	0.0323230	−	0.0643228i
$371$	9.47353	+	11.3377i	0.491841	+	0.588625i
$372$	4.95208	+	19.0601i	0.256753	+	0.988221i
$373$	−17.2361			−0.892450			−0.446225	−	0.894921i	$-0.647232\pi$
$373$	−17.2361			−0.892450			−0.446225	+	0.894921i	$0.647232\pi$
$374$	−0.140798	−	2.42721i	−0.00728051	−	0.125508i
$375$	2.07392	−	0.288681i	0.107097	−	0.0149074i
$376$	2.86020	+	1.04331i	0.147504	+	0.0538044i
$377$			11.3205i			0.583033i
$378$	−15.5325	+	11.6937i	−0.798904	+	0.601458i
$379$		−	0.579373i		−	0.0297604i	−0.999889	−	0.0148802i	$-0.995263\pi$
$379$		−	0.579373i		−	0.0297604i	0.999889	−	0.0148802i	$-0.00473669\pi$
$380$	−0.164354	−	1.41188i	−0.00843119	−	0.0724278i
$381$	27.8593	−	3.87789i	1.42728	−	0.198670i
$382$	9.56123	−	0.554630i	0.489195	−	0.0283773i
$383$	31.7991			1.62486			0.812430	−	0.583059i	$-0.198144\pi$
$383$	31.7991			1.62486			0.812430	+	0.583059i	$0.198144\pi$
$384$	−17.1661	−	9.45127i	−0.876002	−	0.482308i
$385$	0.0867988	−	0.236949i	0.00442368	−	0.0120761i
$386$	−1.39349	−	0.700247i	−0.0709268	−	0.0356416i
$387$	−6.88420	+	7.09125i	−0.349943	+	0.360468i
$388$	0.160244	+	1.37657i	0.00813516	+	0.0698848i
$389$	10.5902			0.536944			0.268472	−	0.963288i	$-0.413481\pi$
$389$	10.5902			0.536944			0.268472	+	0.963288i	$0.413481\pi$
$390$	0.461961	−	0.0918420i	0.0233923	−	0.00465060i
$391$	0.0962463	−	0.166703i	0.00486738	−	0.00843056i
$392$	9.98247	−	17.0983i	0.504191	−	0.863592i
$393$	−0.128201	−	0.921015i	−0.00646689	−	0.0464591i
$394$	−10.6880	+	7.02599i	−0.538451	+	0.353964i
$395$	−0.911201	+	1.57825i	−0.0458475	+	0.0794102i
$396$	4.68621	+	0.617899i	0.235491	+	0.0310506i
$397$	16.0213	−	9.24988i	0.804084	−	0.464238i	−0.0408132	−	0.999167i	$-0.512995\pi$
$397$	16.0213	−	9.24988i	0.804084	−	0.464238i	0.844897	+	0.534929i	$0.179662\pi$
$398$	−0.565555	−	9.74956i	−0.0283487	−	0.488701i
$399$	8.22596	+	25.6121i	0.411813	+	1.28221i
$400$	−13.6710	−	14.5176i	−0.683550	−	0.725882i
$401$	−7.73034			−0.386035			−0.193017	−	0.981195i	$-0.561827\pi$
$401$	−7.73034			−0.386035			−0.193017	+	0.981195i	$0.561827\pi$
$402$	−8.05618	−	2.73560i	−0.401806	−	0.136439i
$403$			9.02880i			0.449757i
$404$	−31.4693	−	13.5920i	−1.56566	−	0.676229i
$405$	0.572530	+	0.927093i	0.0284493	+	0.0460676i
$406$	19.4410	−	18.2570i	0.964838	−	0.906082i
$407$	5.51760	−	3.18559i	0.273497	−	0.157904i
$408$	−10.4528	−	2.24391i	−0.517490	−	0.111090i
$409$	−12.9151	+	7.45651i	−0.638608	+	0.368701i	−0.784078	−	0.620662i	$-0.786864\pi$
$409$	−12.9151	+	7.45651i	−0.638608	+	0.368701i	0.145470	+	0.989363i	$0.453531\pi$
$410$	−0.0755439	−	1.30230i	−0.00373085	−	0.0643158i
$411$	3.14627	+	22.6032i	0.155194	+	1.11494i
$412$	4.47809	−	10.3680i	0.220620	−	0.510796i
$413$	−25.1410	+	4.37935i	−1.23711	+	0.215494i
$414$	0.283158	+	0.244686i	0.0139165	+	0.0120256i
$415$	0.241763	−	0.139582i	0.0118677	−	0.00685181i
$416$	−6.52773	−	6.17307i	−0.320048	−	0.302660i
$417$	−19.5081	−	7.91176i	−0.955318	−	0.387441i
$418$	2.93654	−	5.84372i	0.143631	−	0.285826i
$419$	−10.7579	+	18.6332i	−0.525556	+	0.910289i	0.474001	+	0.880524i	$0.342809\pi$
$419$	−10.7579	+	18.6332i	−0.525556	+	0.910289i	−0.999557	+	0.0297650i	$0.990524\pi$
$420$	−0.902750	−	0.645221i	−0.0440497	−	0.0314836i
$421$	6.84725	+	11.8598i	0.333715	+	0.578011i	0.983237	−	0.182332i	$-0.0583645\pi$
$421$	6.84725	+	11.8598i	0.333715	+	0.578011i	−0.649522	+	0.760342i	$0.725031\pi$
$422$	39.9204	−	2.31571i	1.94330	−	0.112727i
$423$	−0.789487	+	3.13123i	−0.0383862	+	0.152246i
$424$	−14.8385	−	5.41258i	−0.720620	−	0.262858i
$425$	−9.42182	−	5.43969i	−0.457025	−	0.263864i
$426$	−24.7215	+	21.6759i	−1.19776	+	1.05020i
$427$	18.4806	−	15.4420i	0.894341	−	0.747289i
$428$	−2.13549	−	18.3448i	−0.103223	−	0.886730i
$429$	2.00825	+	0.814470i	0.0969593	+	0.0393230i
$430$	−0.504007	−	0.253270i	−0.0243054	−	0.0122137i
$431$	14.9098	+	8.60820i	0.718181	+	0.414642i	0.814083	−	0.580749i	$-0.197240\pi$
$431$	14.9098	+	8.60820i	0.718181	+	0.414642i	−0.0959016	+	0.995391i	$0.530573\pi$
$432$	8.10355	−	19.1398i	0.389882	−	0.920865i
$433$		−	13.4777i		−	0.647695i	−0.946109	−	0.323848i	$-0.895023\pi$
$433$		−	13.4777i		−	0.647695i	0.946109	−	0.323848i	$-0.104977\pi$
$434$	15.5054	−	14.5612i	0.744284	−	0.698959i
$435$	−0.918667	−	1.17904i	−0.0440467	−	0.0565308i
$436$	−6.83908	−	9.19547i	−0.327533	−	0.440383i
$437$	0.448424	−	0.258898i	0.0214510	−	0.0123848i
$438$	4.53898	+	22.8308i	0.216881	+	1.09090i
$439$	−4.44920	+	7.70624i	−0.212349	+	0.367799i	−0.952449	−	0.304698i	$-0.901445\pi$
$439$	−4.44920	+	7.70624i	−0.212349	+	0.367799i	0.740100	+	0.672496i	$0.234778\pi$
$440$	0.0466584	+	0.265705i	0.00222435	+	0.0126670i
$441$	19.1261	+	8.67138i	0.910766	+	0.412923i
$442$	−4.37968	−	2.20084i	−0.208320	−	0.104684i
$443$	−21.3589	−	12.3316i	−1.01479	−	0.585891i	−0.102201	−	0.994764i	$-0.532589\pi$
$443$	−21.3589	−	12.3316i	−1.01479	−	0.585891i	−0.912591	+	0.408873i	$0.865922\pi$
$444$	−7.04490	−	27.1152i	−0.334336	−	1.28683i
$445$	1.06941	+	1.85227i	0.0506949	+	0.0878061i
$446$	20.7916	+	10.4480i	0.984511	+	0.494729i
$447$	3.28665	+	23.6118i	0.155453	+	1.11680i
$448$	−0.0736063	+	21.1659i	−0.00347757	+	0.999994i
$449$	27.3526			1.29085			0.645425	−	0.763824i	$-0.276680\pi$
$449$	27.3526			1.29085			0.645425	+	0.763824i	$0.276680\pi$
$450$	13.8293	−	16.0037i	0.651917	−	0.754420i
$451$	3.00103	−	5.19794i	0.141313	−	0.244761i
$452$	−7.48464	−	10.0635i	−0.352048	−	0.473345i
$453$	23.1332	−	3.22004i	1.08689	−	0.151291i
$454$	−28.2501	+	18.5709i	−1.32584	+	0.871576i
$455$	−0.326204	−	0.390394i	−0.0152927	−	0.0183020i
$456$	−21.3324	−	19.2861i	−0.998982	−	0.903153i
$457$	18.3778	−	31.8313i	0.859677	−	1.48901i	−0.0125592	−	0.999921i	$-0.503998\pi$
$457$	18.3778	−	31.8313i	0.859677	−	1.48901i	0.872237	−	0.489084i	$-0.162669\pi$
$458$	−15.1525	−	23.0500i	−0.708029	−	1.07706i
$459$	1.22993	−	11.2725i	0.0574080	−	0.526157i
$460$	−0.00846887	+	0.0196078i	−0.000394863	+	0.000914217i
$461$	4.64718	−	2.68305i	0.216441	−	0.124962i	−0.387860	−	0.921718i	$-0.626786\pi$
$461$	4.64718	−	2.68305i	0.216441	−	0.124962i	0.604301	+	0.796756i	$0.293452\pi$
$462$	−1.84009	−	4.76236i	−0.0856087	−	0.221565i
$463$	−4.42338	−	2.55384i	−0.205572	−	0.118687i	0.393680	−	0.919248i	$-0.371202\pi$
$463$	−4.42338	−	2.55384i	−0.205572	−	0.118687i	−0.599252	+	0.800561i	$0.704535\pi$
$464$	−8.20266	+	27.3056i	−0.380799	+	1.26763i
$465$	−0.732696	−	0.940364i	−0.0339780	−	0.0436083i
$466$	−12.0894	−	6.07507i	−0.560030	−	0.281422i
$467$	−0.342427	−	0.593101i	−0.0158456	−	0.0274455i	0.857994	−	0.513660i	$-0.171711\pi$
$467$	−0.342427	−	0.593101i	−0.0158456	−	0.0274455i	−0.873839	+	0.486214i	$0.838377\pi$
$468$	5.80258	−	7.55896i	0.268225	−	0.349413i
$469$	1.57702	+	9.05333i	0.0728198	+	0.418044i
$470$	−0.183992	+	0.0106731i	−0.00848693	+	0.000492312i
$471$	13.4599	+	17.2748i	0.620200	+	0.795983i
$472$	20.9112	−	17.5215i	0.962516	−	0.806494i
$473$	−1.29766	−	2.24761i	−0.0596663	−	0.103345i
$474$	7.18956	+	36.1631i	0.330227	+	1.66103i
$475$	−14.6325	−	25.3442i	−0.671385	−	1.16287i
$476$	3.28375	+	11.0708i	0.150510	+	0.507428i
$477$	4.09579	−	16.2445i	0.187533	−	0.743787i
$478$	−16.6077	+	0.963386i	−0.759620	+	0.0440642i
$479$	−13.2479			−0.605313			−0.302656	−	0.953100i	$-0.597873\pi$
$479$	−13.2479			−0.605313			−0.302656	+	0.953100i	$0.597873\pi$
$480$	1.18082	+	0.113203i	0.0538970	+	0.00516698i
$481$		−	12.8445i		−	0.585659i
$482$	15.7666	+	23.9841i	0.718147	+	1.09245i
$483$	0.0853817	−	0.395097i	0.00388500	−	0.0179775i
$484$	8.23106	−	19.0572i	0.374139	−	0.866235i
$485$	−0.0419467	−	0.0726538i	−0.00190470	−	0.00329904i
$486$	21.0756	+	6.46683i	0.956008	+	0.293341i
$487$	6.29077	+	3.63198i	0.285062	+	0.164581i	0.635713	−	0.771926i	$-0.280706\pi$
$487$	6.29077	+	3.63198i	0.285062	+	0.164581i	−0.350651	+	0.936506i	$0.614040\pi$
$488$	−8.82257	+	24.1869i	−0.399379	+	1.09489i
$489$	2.67066	+	3.42760i	0.120771	+	0.155001i
$490$	−0.144351	+	1.18981i	−0.00652110	+	0.0537500i
$491$	23.9003	+	13.7989i	1.07861	+	0.622734i	0.930520	−	0.366241i	$-0.119355\pi$
$491$	23.9003	+	13.7989i	1.07861	+	0.622734i	0.148086	+	0.988974i	$0.452689\pi$
$492$	−18.5197	−	18.8036i	−0.834934	−	0.847733i
$493$			15.5547i			0.700550i
$494$	−7.24268	−	11.0176i	−0.325864	−	0.495704i
$495$	−0.275258	+	0.0781433i	−0.0123719	+	0.00351228i
$496$	−6.54216	+	21.7780i	−0.293752	+	0.977861i
$497$	33.3459	+	12.2152i	1.49577	+	0.547927i
$498$	1.81604	−	5.34813i	0.0813786	−	0.239655i
$499$			14.8609i			0.665265i	0.943056	+	0.332633i	$0.107937\pi$
$499$			14.8609i			0.665265i	−0.943056	+	0.332633i	$0.892063\pi$
$500$	2.21966	+	0.958702i	0.0992662	+	0.0428745i
$501$	21.4248	+	8.68906i	0.957187	+	0.388199i
$502$	17.2187	−	11.3191i	0.768509	−	0.505198i
$503$	−36.3565			−1.62106			−0.810529	−	0.585698i	$-0.800820\pi$
$503$	−36.3565			−1.62106			−0.810529	+	0.585698i	$0.800820\pi$
$504$	−22.3393	+	2.22575i	−0.995073	+	0.0991430i
$505$	2.07509			0.0923402
$506$	−0.0821183	+	0.0539825i	−0.00365060	+	0.00239981i
$507$	−14.3153	+	11.1539i	−0.635764	+	0.495364i
$508$	29.8170	+	12.8784i	1.32292	+	0.571386i
$509$		−	2.06897i		−	0.0917055i	−0.998948	−	0.0458528i	$-0.985399\pi$
$509$		−	2.06897i		−	0.0917055i	0.998948	−	0.0458528i	$-0.0146005\pi$
$510$	0.634752	−	0.126194i	0.0281073	−	0.00558798i
$511$	19.2939	−	16.1215i	0.853512	−	0.713174i
$512$	−11.2724	−	19.6197i	−0.498172	−	0.867078i
$513$	18.0265	−	24.6059i	0.795888	−	1.08638i
$514$	−9.75338	−	14.8369i	−0.430203	−	0.654426i
$515$			0.683668i			0.0301260i
$516$	−11.0454	+	2.86976i	−0.486248	+	0.126334i
$517$	−0.734380	−	0.423995i	−0.0322980	−	0.0186473i
$518$	−22.0582	+	20.7150i	−0.969184	+	0.910163i
$519$	7.58795	−	18.7097i	0.333074	−	0.821265i
$520$	0.510936	+	0.186372i	0.0224060	+	0.00817297i
$521$	8.99770	+	5.19483i	0.394196	+	0.227589i	0.683977	−	0.729504i	$-0.260249\pi$
$521$	8.99770	+	5.19483i	0.394196	+	0.227589i	−0.289780	+	0.957093i	$0.593582\pi$
$522$	−29.7018	−	5.68274i	−1.30001	−	0.248727i
$523$	6.36621	+	11.0266i	0.278375	+	0.482160i	0.970981	−	0.239156i	$-0.0768708\pi$
$523$	6.36621	+	11.0266i	0.278375	+	0.482160i	−0.692606	+	0.721316i	$0.743537\pi$
$524$	0.425753	−	0.985735i	0.0185991	−	0.0430620i
$525$	−22.3302	−	4.82564i	−0.974571	−	0.210608i
$526$	2.63133	+	4.00278i	0.114731	+	0.174529i
$527$			12.4059i			0.540410i
$528$	4.25387	+	3.41971i	0.185126	+	0.148824i
$529$	22.9922			0.999662
$530$	0.954534	−	0.0553708i	0.0414623	−	0.00240516i
$531$	20.7620	+	20.1558i	0.900995	+	0.874688i
$532$	−7.24020	+	30.2067i	−0.313902	+	1.30962i
$533$	−6.05018	−	10.4792i	−0.262062	−	0.453905i
$534$	40.9748	+	13.9136i	1.77315	+	0.602100i
$535$	0.559001	+	0.968217i	0.0241677	+	0.0418597i
$536$	−6.30955	−	7.53018i	−0.272531	−	0.325254i
$537$	−10.3264	+	25.4619i	−0.445616	+	1.09876i
$538$	41.3613	−	2.39929i	1.78321	−	0.103441i
$539$	−3.56216	+	4.20968i	−0.153433	+	0.181324i
$540$	0.00906932	+	1.25816i	0.000390281	+	0.0541427i
$541$	−4.02354	−	6.96897i	−0.172985	−	0.299620i	0.766477	−	0.642272i	$-0.222008\pi$
$541$	−4.02354	−	6.96897i	−0.172985	−	0.299620i	−0.939462	+	0.342652i	$0.888675\pi$
$542$	1.94016	+	0.974954i	0.0833370	+	0.0418779i
$543$	1.73010	−	0.240823i	0.0742458	−	0.0103347i
$544$	−8.96935	−	8.48203i	−0.384558	−	0.363664i
$545$	0.600784	+	0.346863i	0.0257348	+	0.0148580i
$546$	−10.1696	−	1.58786i	−0.435220	−	0.0679543i
$547$	−21.1399	+	12.2051i	−0.903876	+	0.521853i	−0.878456	−	0.477824i	$-0.841426\pi$
$547$	−21.1399	+	12.2051i	−0.903876	+	0.521853i	−0.0254202	+	0.999677i	$0.508092\pi$
$548$	−10.4487	+	24.1916i	−0.446345	+	1.03341i
$549$	−26.4788	−	6.67618i	−1.13009	−	0.284933i
$550$	3.05100	+	4.64120i	0.130095	+	0.197901i
$551$	−20.9207	+	36.2358i	−0.891254	+	1.54370i
$552$	0.132703	+	0.411246i	0.00564821	+	0.0175038i
$553$	30.5608	−	25.5358i	1.29958	−	1.08589i
$554$	−23.9859	+	15.7677i	−1.01906	+	0.669906i
$555$	1.04234	+	1.33778i	0.0442451	+	0.0567854i
$556$	−14.5067	−	19.5049i	−0.615220	−	0.827192i
$557$	−2.86442	+	4.96132i	−0.121369	+	0.210218i	−0.920308	−	0.391195i	$-0.872062\pi$
$557$	−2.86442	+	4.96132i	−0.121369	+	0.210218i	0.798939	+	0.601413i	$0.205395\pi$
$558$	−23.6891	−	4.53235i	−1.00284	−	0.191870i
$559$	−5.23224			−0.221300
$560$	−0.503948	−	1.17802i	−0.0212957	−	0.0497803i
$561$	2.75941	+	1.11911i	0.116503	+	0.0472490i
$562$	−35.2654	−	17.7213i	−1.48758	−	0.747529i
$563$	−5.25822	−	9.10751i	−0.221608	−	0.383836i	0.733689	−	0.679486i	$-0.237797\pi$
$563$	−5.25822	−	9.10751i	−0.221608	−	0.383836i	−0.955296	+	0.295650i	$0.904464\pi$
$564$	−2.65663	+	2.61652i	−0.111864	+	0.110175i
$565$	0.657494	+	0.379604i	0.0276610	+	0.0159701i
$566$	−12.1065	−	6.08368i	−0.508875	−	0.255716i
$567$	−4.77943	−	23.3272i	−0.200717	−	0.979649i
$568$	−37.3927	+	6.56624i	−1.56896	+	0.275513i
$569$	5.83697	−	10.1099i	0.244698	−	0.423830i	−0.717348	−	0.696715i	$-0.754644\pi$
$569$	5.83697	−	10.1099i	0.244698	−	0.423830i	0.962047	+	0.272885i	$0.0879777\pi$
$570$	1.64842	+	0.559748i	0.0690449	+	0.0234452i
$571$	−11.2995	+	6.52375i	−0.472868	+	0.273010i	−0.717439	−	0.696621i	$-0.754686\pi$
$571$	−11.2995	+	6.52375i	−0.472868	+	0.273010i	0.244572	+	0.969631i	$0.421353\pi$
$572$	1.49338	+	2.00792i	0.0624412	+	0.0839553i
$573$	−4.40839	+	10.8698i	−0.184163	+	0.454094i
$574$	−8.23885	+	27.2905i	−0.343883	+	1.13908i
$575$			0.439744i			0.0183386i
$576$	19.4733	−	14.0282i	0.811388	−	0.584508i
$577$	15.9806	+	9.22642i	0.665282	+	0.384101i	0.794287	−	0.607543i	$-0.207845\pi$
$577$	15.9806	+	9.22642i	0.665282	+	0.384101i	−0.129004	+	0.991644i	$0.541178\pi$
$578$	15.4640	+	7.77085i	0.643218	+	0.323225i
$579$	1.50668	−	1.17395i	0.0626155	−	0.0487877i
$580$	−0.199563	−	1.71434i	−0.00828641	−	0.0711841i
$581$	−6.01009	+	1.04691i	−0.249341	+	0.0434331i
$582$	−1.60720	−	0.545749i	−0.0666206	−	0.0226220i
$583$	3.80990	+	2.19964i	0.157790	+	0.0911000i
$584$	−9.21082	+	25.2513i	−0.381147	+	1.04491i
$585$	−0.141031	+	0.559352i	−0.00583091	+	0.0231263i
$586$	−5.68103	+	0.329546i	−0.234681	+	0.0136134i
$587$	19.0791	+	33.0459i	0.787478	+	1.36395i	0.927508	+	0.373804i	$0.121947\pi$
$587$	19.0791	+	33.0459i	0.787478	+	1.36395i	−0.140030	+	0.990147i	$0.544720\pi$
$588$	13.6742	+	20.0254i	0.563913	+	0.825834i
$589$	−16.6857	+	28.9004i	−0.687520	+	1.19082i
$590$	−0.741532	+	1.47565i	−0.0305284	+	0.0607516i
$591$	−2.15969	−	15.5155i	−0.0888377	−	0.638223i
$592$	9.30697	−	30.9817i	0.382514	−	1.27334i
$593$	−14.3641	+	8.29312i	−0.589863	+	0.340558i	−0.765043	−	0.643979i	$-0.777283\pi$
$593$	−14.3641	+	8.29312i	−0.589863	+	0.340558i	0.175180	+	0.984536i	$0.443949\pi$
$594$	−3.14507	+	4.86025i	−0.129044	+	0.199418i
$595$	−0.448216	−	0.536416i	−0.0183751	−	0.0219909i
$596$	−10.9149	+	25.2710i	−0.447091	+	1.03514i
$597$	11.0839	+	4.49522i	0.453635	+	0.183977i
$598$	0.0114734	+	0.197788i	0.000469180	+	0.00808817i
$599$	−29.0475	+	16.7706i	−1.18685	+	0.685227i	−0.957589	−	0.288138i	$-0.906964\pi$
$599$	−29.0475	+	16.7706i	−1.18685	+	0.685227i	−0.229259	+	0.973365i	$0.573630\pi$
$600$	23.2430	−	7.50015i	0.948890	−	0.306193i
$601$	−31.5568	+	18.2193i	−1.28723	+	0.743182i	−0.978159	−	0.207858i	$-0.933351\pi$
$601$	−31.5568	+	18.2193i	−1.28723	+	0.743182i	−0.309069	+	0.951040i	$0.600018\pi$
$602$	8.43829	+	8.98548i	0.343919	+	0.366221i
$603$	7.25816	−	7.47646i	0.295575	−	0.304465i
$604$	24.7588	+	10.6937i	1.00742	+	0.435119i
$605$			1.25663i			0.0510893i
$606$	31.5674	−	27.6783i	1.28234	−	1.12435i
$607$	12.6993			0.515450			0.257725	−	0.966218i	$-0.417027\pi$
$607$	12.6993			0.515450			0.257725	+	0.966218i	$0.417027\pi$
$608$	−9.48657	−	31.8230i	−0.384731	−	1.29059i
$609$	9.98818	+	31.0989i	0.404742	+	1.26019i
$610$	−0.0902552	−	1.55590i	−0.00365433	−	0.0629967i
$611$	−1.48053	+	0.854787i	−0.0598960	+	0.0345810i
$612$	7.97297	−	10.3863i	0.322288	−	0.419841i
$613$	−18.5394	+	32.1112i	−0.748799	+	1.29696i	0.199600	+	0.979877i	$0.436036\pi$
$613$	−18.5394	+	32.1112i	−0.748799	+	1.29696i	−0.948399	+	0.317080i	$0.897298\pi$
$614$	10.7169	−	7.04502i	0.432499	−	0.284314i
$615$	1.48053	+	0.600449i	0.0597009	+	0.0242124i
$616$	1.03981	−	5.80289i	0.0418953	−	0.233805i
$617$	21.2232	−	36.7597i	0.854414	−	1.47989i	−0.0227735	−	0.999741i	$-0.507250\pi$
$617$	21.2232	−	36.7597i	0.854414	−	1.47989i	0.877188	−	0.480148i	$-0.159417\pi$
$618$	9.11903	+	10.4003i	0.366821	+	0.418363i
$619$	9.91513			0.398523			0.199261	−	0.979946i	$-0.436146\pi$
$619$	9.91513			0.398523			0.199261	+	0.979946i	$0.436146\pi$
$620$	−0.159165	−	1.36730i	−0.00639221	−	0.0549120i
$621$	−0.419448	+	0.184764i	−0.0168319	+	0.00741433i
$622$	11.3907	+	5.72399i	0.456727	+	0.229511i
$623$	−8.02091	−	46.0464i	−0.321351	−	1.84481i
$624$	10.2586	−	3.97986i	0.410671	−	0.159322i
$625$	24.7803			0.991214
$626$	37.0581	−	2.14967i	1.48114	−	0.0859182i
$627$	4.92306	+	6.31839i	0.196608	+	0.252332i
$628$	2.92392	+	25.1178i	0.116677	+	1.00231i
$629$		−	17.6488i		−	0.703705i
$630$	1.18804	−	0.659897i	0.0473326	−	0.0262909i
$631$		−	1.68031i		−	0.0668920i	−0.999441	−	0.0334460i	$-0.989352\pi$
$631$		−	1.68031i		−	0.0668920i	0.999441	−	0.0334460i	$-0.0106482\pi$
$632$	−14.5896	+	39.9970i	−0.580342	+	1.59100i
$633$	−18.4061	+	45.3841i	−0.731576	+	1.80386i
$634$	−0.915627	−	15.7844i	−0.0363642	−	0.626880i
$635$	−1.96614			−0.0780237
$636$	13.7824	−	13.5743i	0.546506	−	0.538255i
$637$	3.75911	+	10.4627i	0.148941	+	0.414549i
$638$	3.56563	−	7.09560i	0.141165	−	0.280918i
$639$	−10.9971	−	38.7371i	−0.435039	−	1.53241i
$640$	1.09737	+	0.819759i	0.0433772	+	0.0324038i
$641$	1.15497			0.0456185			0.0228092	−	0.999740i	$-0.492739\pi$
$641$	1.15497			0.0456185			0.0228092	+	0.999740i	$0.492739\pi$
$642$	21.4183	+	7.27290i	0.845312	+	0.287039i
$643$	5.50859	−	9.54116i	0.217238	−	0.376267i	−0.736725	−	0.676193i	$-0.763629\pi$
$643$	5.50859	−	9.54116i	0.217238	−	0.376267i	0.953962	+	0.299926i	$0.0969620\pi$
$644$	0.321164	−	0.338687i	0.0126556	−	0.0133461i
$645$	0.544946	−	0.424602i	0.0214572	−	0.0167187i
$646$	−9.95172	−	15.1386i	−0.391545	−	0.595619i
$647$	12.3459	−	21.3838i	0.485368	−	0.840683i	−0.514490	−	0.857496i	$-0.672019\pi$
$647$	12.3459	−	21.3838i	0.485368	−	0.840683i	0.999859	+	0.0168136i	$0.00535217\pi$
$648$	16.9198	+	19.0189i	0.664674	+	0.747134i
$649$	−6.58063	+	3.79933i	−0.258312	+	0.149137i
$650$	11.1787	−	0.648456i	0.438464	−	0.0254345i
$651$	7.96623	+	24.8034i	0.312221	+	0.972122i
$652$	0.580150	+	4.98376i	0.0227204	+	0.195179i
$653$	−1.88646			−0.0738230			−0.0369115	−	0.999319i	$-0.511752\pi$
$653$	−1.88646			−0.0738230			−0.0369115	+	0.999319i	$0.511752\pi$
$654$	13.7661	−	2.73682i	0.538296	−	0.107018i
$655$			0.0649994i			0.00253974i
$656$	−7.00028	−	29.6604i	−0.273315	−	1.15804i
$657$	−27.6441	−	6.96998i	−1.07850	−	0.271925i
$658$	3.85568	+	1.16401i	0.150310	+	0.0453778i
$659$	6.59789	−	3.80929i	0.257017	−	0.148389i	−0.365956	−	0.930632i	$-0.619258\pi$
$659$	6.59789	−	3.80929i	0.257017	−	0.148389i	0.622973	+	0.782243i	$0.285925\pi$
$660$	−0.318482	−	0.0879387i	−0.0123969	−	0.00342301i
$661$	−0.453975	+	0.262102i	−0.0176576	+	0.0101946i	−0.508803	−	0.860883i	$-0.669912\pi$
$661$	−0.453975	+	0.262102i	−0.0176576	+	0.0101946i	0.491145	+	0.871078i	$0.336578\pi$
$662$	−23.1610	+	1.34353i	−0.900176	+	0.0522176i
$663$	4.73543	−	3.68967i	0.183909	−	0.143295i
$664$	4.99894	−	4.18863i	0.193997	−	0.162550i
$665$	−0.322683	−	1.85246i	−0.0125131	−	0.0718352i
$666$	33.7005	+	6.44779i	1.30587	+	0.249847i
$667$	0.544489	−	0.314361i	0.0210827	−	0.0121721i
$668$	15.9319	+	21.4212i	0.616424	+	0.828811i
$669$	−22.4805	+	17.5159i	−0.869145	+	0.677205i
$670$	0.531385	+	0.267028i	0.0205292	+	0.0103162i
$671$	3.58545	−	6.21018i	0.138415	−	0.239741i
$672$	−23.3792	−	11.1988i	−0.901872	−	0.432003i
$673$	3.99861	+	6.92580i	0.154135	+	0.266970i	0.932744	−	0.360540i	$-0.117408\pi$
$673$	3.99861	+	6.92580i	0.154135	+	0.266970i	−0.778609	+	0.627510i	$0.784074\pi$
$674$	0.651203	+	11.2260i	0.0250834	+	0.432411i
$675$	10.4426	+	23.7066i	0.401935	+	0.912466i
$676$	−20.8146	+	2.42299i	−0.800560	+	0.0931917i
$677$	−37.4008	−	21.5934i	−1.43743	−	0.829900i	−0.439759	−	0.898116i	$-0.644936\pi$
$677$	−37.4008	−	21.5934i	−1.43743	−	0.829900i	−0.997671	+	0.0682155i	$0.978269\pi$
$678$	15.0655	−	2.99515i	0.578586	−	0.115028i
$679$	0.314613	+	1.80613i	0.0120738	+	0.0693130i
$680$	0.702045	+	0.256083i	0.0269222	+	0.00982033i
$681$	−5.70843	−	41.0102i	−0.218748	−	1.57151i
$682$	2.84382	−	5.65920i	0.108895	−	0.216702i
$683$	8.19378	+	4.73068i	0.313526	+	0.181015i	0.648503	−	0.761212i	$-0.275395\pi$
$683$	8.19378	+	4.73068i	0.313526	+	0.181015i	−0.334977	+	0.942226i	$0.608729\pi$
$684$	32.5429	−	13.4721i	1.24431	−	0.515120i
$685$		−	1.59519i		−	0.0609492i
$686$	11.9055	−	23.3294i	0.454553	−	0.890720i
$687$	33.4613	−	4.65766i	1.27663	−	0.177701i
$688$	−12.6205	−	3.79122i	−0.481151	−	0.144539i
$689$	7.68088	−	4.43456i	0.292618	−	0.168943i
$690$	−0.0172457	−	0.0196689i	−0.000656533	−	0.000748782i
$691$	−14.2230	+	24.6349i	−0.541067	+	0.937155i	0.457776	+	0.889067i	$0.348646\pi$
$691$	−14.2230	+	24.6349i	−0.541067	+	0.937155i	−0.998843	+	0.0480876i	$0.984687\pi$
$692$	18.7066	−	13.9129i	0.711119	−	0.528890i
$693$	6.23557	+	0.465560i	0.236870	+	0.0176852i
$694$	−23.0917	+	45.9524i	−0.876547	+	1.74433i
$695$	1.27435	+	0.735746i	0.0483388	+	0.0279084i
$696$	−25.9024	−	23.4177i	−0.981828	−	0.887644i
$697$	−8.31317	−	14.3988i	−0.314884	−	0.545395i
$698$	1.01220	−	2.01428i	0.0383124	−	0.0762417i
$699$	13.0714	−	10.1847i	0.494405	−	0.385222i
$700$	−19.1420	−	18.1517i	−0.723501	−	0.686070i
$701$	−33.5350			−1.26660			−0.633300	−	0.773906i	$-0.718300\pi$
$701$	−33.5350			−1.26660			−0.633300	+	0.773906i	$0.718300\pi$
$702$	5.31540	+	10.3903i	0.200617	+	0.392157i
$703$	23.7373	−	41.1141i	0.895267	−	1.55065i
$704$	2.14720	+	5.92530i	0.0809258	+	0.223318i
$705$	0.0848331	−	0.209174i	0.00319500	−	0.00787796i
$706$	−18.5261	−	28.1820i	−0.697240	−	1.06064i
$707$	−42.5801	−	15.5978i	−1.60139	−	0.586617i
$708$	8.40218	+	32.3393i	0.315773	+	1.21538i
$709$	−13.9444	+	24.1524i	−0.523693	+	0.907063i	0.475926	+	0.879485i	$0.342113\pi$
$709$	−13.9444	+	24.1524i	−0.523693	+	0.907063i	−0.999620	+	0.0275782i	$0.991220\pi$
$710$	1.92042	−	1.26243i	0.0720719	−	0.0473783i
$711$	−43.7871	−	11.0402i	−1.64214	−	0.414038i
$712$	32.0912	+	38.2994i	1.20267	+	1.43533i
$713$	0.434265	−	0.250723i	0.0162634	−	0.00938965i
$714$	−13.9734	−	2.18178i	−0.522943	−	0.0816512i
$715$	−0.131187	−	0.0757408i	−0.00490611	−	0.00283255i
$716$	−25.4577	+	18.9340i	−0.951399	+	0.707597i
$717$	7.65732	−	18.8808i	0.285968	−	0.705115i
$718$	−14.3288	+	28.5142i	−0.534744	+	1.06414i
$719$	−22.0843	−	38.2510i	−0.823604	−	1.42652i	−0.902982	−	0.429679i	$-0.858627\pi$
$719$	−22.0843	−	38.2510i	−0.823604	−	1.42652i	0.0793781	−	0.996845i	$-0.474707\pi$
$720$	−0.745475	+	1.24700i	−0.0277822	+	0.0464730i
$721$	5.13894	−	14.0286i	0.191384	−	0.522453i
$722$	−1.26610	−	21.8262i	−0.0471193	−	0.812286i
$723$	−34.8173	+	4.84641i	−1.29487	+	0.180240i
$724$	1.85168	+	0.799765i	0.0688171	+	0.0297230i
$725$	−17.7672	−	30.7736i	−0.659856	−	1.14290i
$726$	16.7614	+	19.1166i	0.622075	+	0.709483i
$727$	6.96878	+	12.0703i	0.258458	+	0.447662i	0.965829	−	0.259180i	$-0.0834524\pi$
$727$	6.96878	+	12.0703i	0.258458	+	0.447662i	−0.707371	+	0.706842i	$0.750119\pi$
$728$	−9.08332	−	7.66486i	−0.336650	−	0.284078i
$729$	−18.2248	+	19.9212i	−0.674993	+	0.737824i
$730$	−0.0942270	−	1.62437i	−0.00348750	−	0.0601207i
$731$	−7.18929			−0.265906
$732$	−22.1262	−	22.4654i	−0.817810	−	0.830346i
$733$		−	17.1989i		−	0.635254i	−0.948216	−	0.317627i	$-0.897114\pi$
$733$		−	17.1989i		−	0.635254i	0.948216	−	0.317627i	$-0.102886\pi$
$734$	21.1824	−	13.9248i	0.781856	−	0.513972i
$735$	−1.24058	−	0.784654i	−0.0457594	−	0.0289424i
$736$	−0.115641	+	0.485391i	−0.00426257	+	0.0178918i
$737$	1.36815	+	2.36970i	0.0503964	+	0.0872891i
$738$	30.5317	−	10.6136i	1.12389	−	0.390691i
$739$	8.40583	+	4.85311i	0.309214	+	0.178525i	0.646574	−	0.762851i	$-0.276201\pi$
$739$	8.40583	+	4.85311i	0.309214	+	0.178525i	−0.337361	+	0.941375i	$0.609534\pi$
$740$	0.226430	+	1.94514i	0.00832373	+	0.0715047i
$741$	15.9940	−	2.22630i	0.587555	−	0.0817850i
$742$	−20.0029	−	6.03877i	−0.734330	−	0.221690i
$743$	−1.44066	−	0.831764i	−0.0528526	−	0.0305145i	0.473341	−	0.880879i	$-0.343048\pi$
$743$	−1.44066	−	0.831764i	−0.0528526	−	0.0305145i	−0.526193	+	0.850365i	$0.676381\pi$
$744$	−20.6588	−	18.6771i	−0.757390	−	0.684736i
$745$		−	1.66637i		−	0.0610510i
$746$	20.3686	−	13.3898i	0.745746	−	0.490234i
$747$	4.96328	+	4.81836i	0.181597	+	0.176295i
$748$	2.05196	+	2.75896i	0.0750270	+	0.100877i
$749$	−4.19268	−	24.0693i	−0.153197	−	0.879474i
$750$	−2.22658	+	1.95227i	−0.0813032	+	0.0712867i
$751$		−	15.8562i		−	0.578601i	−0.957238	−	0.289300i	$-0.906577\pi$
$751$		−	15.8562i		−	0.578601i	0.957238	−	0.289300i	$-0.0934226\pi$
$752$	−4.19051	+	0.989021i	−0.152812	+	0.0360659i
$753$	3.47934	+	24.9961i	0.126794	+	0.910909i
$754$	−8.79425	−	13.3778i	−0.320268	−	0.487192i
$755$	−1.63260			−0.0594162
$756$	9.27116	−	25.8852i	0.337189	−	0.941437i
$757$	−1.10758			−0.0402555			−0.0201278	−	0.999797i	$-0.506407\pi$
$757$	−1.10758			−0.0402555			−0.0201278	+	0.999797i	$0.506407\pi$
$758$	0.450083	+	0.684668i	0.0163478	+	0.0248683i
$759$	−0.0165934	−	0.119210i	−0.000602304	−	0.00432703i
$760$	1.29104	+	1.54080i	0.0468308	+	0.0558905i
$761$		−	25.0964i		−	0.909744i	−0.890557	−	0.454872i	$-0.849685\pi$
$761$		−	25.0964i		−	0.909744i	0.890557	−	0.454872i	$-0.150315\pi$
$762$	−29.9100	+	26.2251i	−1.08352	+	0.950034i
$763$	−9.72061	−	11.6334i	−0.351910	−	0.421159i
$764$	−10.8680	+	8.08303i	−0.393191	+	0.292434i
$765$	−0.193782	+	0.768570i	−0.00700620	+	0.0277877i
$766$	−37.5783	+	24.7030i	−1.35776	+	0.892557i
$767$			15.3191i			0.553142i
$768$	27.6280	−	2.16644i	0.996940	−	0.0781746i
$769$	10.1877	+	5.88189i	0.367379	+	0.212106i	0.672313	−	0.740267i	$-0.265301\pi$
$769$	10.1877	+	5.88189i	0.367379	+	0.212106i	−0.304934	+	0.952374i	$0.598634\pi$
$770$	0.0814996	+	0.347442i	0.00293704	+	0.0125209i
$771$	21.5384	−	2.99805i	0.775687	−	0.107972i
$772$	2.19073	−	0.255019i	0.0788461	−	0.00917833i
$773$	−4.03375	−	2.32889i	−0.145084	−	0.0837642i	0.425701	−	0.904864i	$-0.360028\pi$
$773$	−4.03375	−	2.32889i	−0.145084	−	0.0837642i	−0.570785	+	0.821100i	$0.693361\pi$
$774$	2.62652	−	13.7280i	0.0944085	−	0.493442i
$775$	−14.1705	−	24.5440i	−0.509018	−	0.881646i
$776$	−1.25875	−	1.50226i	−0.0451865	−	0.0539281i
$777$	−11.3329	−	35.2857i	−0.406564	−	1.26587i
$778$	−12.5148	+	8.22694i	−0.448679	+	0.294950i
$779$		−	44.7241i		−	1.60241i
$780$	−0.474571	+	0.467406i	−0.0169924	+	0.0167358i
$781$	10.5743			0.378376
$782$	0.0157648	+	0.271769i	0.000563749	+	0.00971843i
$783$	21.8882	−	29.8771i	0.782221	−	1.06772i
$784$	1.48602	+	27.9605i	0.0530723	+	0.998591i
$785$	−0.765386	−	1.32569i	−0.0273178	−	0.0473158i
$786$	0.866987	+	0.988808i	0.0309244	+	0.0352696i
$787$	18.9121	+	32.7567i	0.674143	+	1.16765i	0.976718	+	0.214525i	$0.0688204\pi$
$787$	18.9121	+	32.7567i	0.674143	+	1.16765i	−0.302575	+	0.953126i	$0.597846\pi$
$788$	7.17227	−	16.6058i	0.255502	−	0.591557i
$789$	−5.81076	+	0.808832i	−0.206869	+	0.0287952i
$790$	−0.149252	−	2.57294i	−0.00531014	−	0.0915411i
$791$	−10.6382	−	12.7315i	−0.378250	−	0.452681i
$792$	−6.01789	+	2.91026i	−0.213836	+	0.103412i
$793$	−7.22838	−	12.5199i	−0.256687	−	0.444596i
$794$	−11.7472	+	23.3770i	−0.416894	+	0.829619i
$795$	−0.440106	+	1.08518i	−0.0156090	+	0.0384873i
$796$	8.24225	+	11.0821i	0.292139	+	0.392795i
$797$	40.7370	+	23.5195i	1.44298	+	0.833104i	0.998047	−	0.0624614i	$-0.0198950\pi$
$797$	40.7370	+	23.5195i	1.44298	+	0.833104i	0.444931	+	0.895565i	$0.353228\pi$
$798$	−29.6176	−	23.8766i	−1.04845	−	0.845221i
$799$	−2.03431	+	1.17451i	−0.0719687	+	0.0415512i
$800$	27.4335	+	6.53583i	0.969922	+	0.231076i
$801$	−36.9159	+	38.0262i	−1.30436	+	1.34359i
$802$	9.13526	−	6.00529i	0.322577	−	0.212054i
$803$	3.74323	−	6.48347i	0.132096	−	0.228797i
$804$	11.6454	−	3.02565i	0.410703	−	0.106706i
$805$	−0.00971865	+	0.0265306i	−0.000342537	+	0.000935082i
$806$	−7.01399	−	10.6697i	−0.247057	−	0.375824i
$807$	−19.0704	+	47.0222i	−0.671310	+	1.65526i
$808$	47.7475	−	8.38456i	1.67975	−	0.294968i
$809$	25.6159	−	44.3680i	0.900606	−	1.55989i	0.0738961	−	0.997266i	$-0.476457\pi$
$809$	25.6159	−	44.3680i	0.900606	−	1.55989i	0.826710	−	0.562629i	$-0.190210\pi$
$810$	−1.39679	−	0.650815i	−0.0490782	−	0.0228673i
$811$	35.2639			1.23828			0.619141	−	0.785280i	$-0.287481\pi$
$811$	35.2639			1.23828			0.619141	+	0.785280i	$0.287481\pi$
$812$	−8.79124	+	36.6777i	−0.308512	+	1.28714i
$813$	−2.09775	+	1.63449i	−0.0735714	+	0.0573241i
$814$	−4.04566	+	8.05087i	−0.141800	+	0.282183i
$815$	−0.151865	−	0.263037i	−0.00531958	−	0.00921379i
$816$	14.0956	−	5.46848i	0.493446	−	0.191435i
$817$	−16.7479	−	9.66943i	−0.585936	−	0.338290i
$818$	9.46968	−	18.8447i	0.331100	−	0.658888i
$819$	7.09839	−	10.4176i	0.248038	−	0.364021i
$820$	1.10096	+	1.48029i	0.0384471	+	0.0516939i
$821$	14.0415	−	24.3205i	0.490050	−	0.848792i	−0.509884	−	0.860243i	$-0.670312\pi$
$821$	14.0415	−	24.3205i	0.490050	−	0.848792i	0.999934	+	0.0114510i	$0.00364505\pi$
$822$	−21.2773	−	24.2670i	−0.742131	−	0.846408i
$823$	−30.5204	+	17.6210i	−1.06387	+	0.614228i	−0.926501	−	0.376292i	$-0.877199\pi$
$823$	−30.5204	+	17.6210i	−1.06387	+	0.614228i	−0.137372	+	0.990519i	$0.543866\pi$
$824$	2.76242	+	15.7311i	0.0962333	+	0.548019i
$825$	−6.73754	+	0.937835i	−0.234571	+	0.0326512i
$826$	26.3080	−	24.7059i	0.915373	−	0.859629i
$827$			18.2748i			0.635478i	0.948178	+	0.317739i	$0.102924\pi$
$827$			18.2748i			0.635478i	−0.948178	+	0.317739i	$0.897076\pi$
$828$	−0.524703	−	0.0691846i	−0.0182347	−	0.00240433i
$829$	37.2925	+	21.5308i	1.29522	+	0.747797i	0.979575	−	0.201079i	$-0.0644449\pi$
$829$	37.2925	+	21.5308i	1.29522	+	0.747797i	0.315648	+	0.948876i	$0.397778\pi$
$830$	−0.177268	+	0.352763i	−0.00615305	+	0.0122446i
$831$	−4.84677	−	34.8199i	−0.168133	−	1.20789i
$832$	12.5096	+	2.22392i	0.433693	+	0.0771007i
$833$	5.16515	+	14.3762i	0.178962	+	0.498105i
$834$	29.1998	−	5.80518i	1.01111	−	0.201017i
$835$	−1.39955	−	0.808030i	−0.0484334	−	0.0279630i
$836$	1.06944	+	9.18700i	0.0369874	+	0.317739i
$837$	17.4573	−	23.8289i	0.603412	−	0.823649i
$838$	−1.76210	−	30.3767i	−0.0608708	−	1.04935i
$839$	−9.15093	−	15.8499i	−0.315925	−	0.547199i	0.663708	−	0.747991i	$-0.268982\pi$
$839$	−9.15093	−	15.8499i	−0.315925	−	0.547199i	−0.979634	+	0.200793i	$0.935648\pi$
$840$	1.56805	+	0.0611861i	0.0541030	+	0.00211112i
$841$	−10.9025	+	18.8837i	−0.375949	+	0.651162i
$842$	−17.3049	−	8.69593i	−0.596366	−	0.299682i
$843$	38.1300	−	29.7094i	1.31327	−	1.02325i
$844$	−45.3766	+	33.7486i	−1.56193	+	1.16167i
$845$	1.09857	−	0.634259i	0.0377919	−	0.0218192i
$846$	−1.49952	−	4.31361i	−0.0515545	−	0.148305i
$847$	9.44574	−	25.7856i	0.324559	−	0.886005i
$848$	21.7400	−	5.13095i	0.746553	−	0.176197i
$849$	13.0899	−	10.1992i	0.449245	−	0.350035i
$850$	15.3599	−	0.891003i	0.526842	−	0.0305612i
$851$	−0.617792	+	0.356682i	−0.0211776	+	0.0122269i
$852$	12.3756	−	44.8201i	0.423982	−	1.53551i
$853$	−37.5921	+	21.7038i	−1.28713	+	0.743125i	−0.978141	−	0.207941i	$-0.933324\pi$
$853$	−37.5921	+	21.7038i	−1.28713	+	0.743125i	−0.308989	+	0.951066i	$0.599991\pi$
$854$	−9.84328	+	32.6050i	−0.336830	+	1.11572i
$855$	−1.48514	+	1.52980i	−0.0507906	+	0.0523182i
$856$	16.7747	+	20.0198i	0.573347	+	0.684264i
$857$			38.4976i			1.31505i	0.753431	+	0.657527i	$0.228397\pi$
$857$			38.4976i			1.31505i	−0.753431	+	0.657527i	$0.771603\pi$
$858$	−3.00595	+	0.597610i	−0.102621	+	0.0204021i
$859$	2.50557			0.0854891			0.0427445	−	0.999086i	$-0.486390\pi$
$859$	2.50557			0.0854891			0.0427445	+	0.999086i	$0.486390\pi$
$860$	0.792357	−	0.0922368i	0.0270191	−	0.00314525i
$861$	−25.8666	−	23.4497i	−0.881533	−	0.799165i
$862$	−24.3068	+	1.40999i	−0.827893	+	0.0480246i
$863$	23.9226	−	13.8117i	0.814335	−	0.470157i	−0.0341239	−	0.999418i	$-0.510864\pi$
$863$	23.9226	−	13.8117i	0.814335	−	0.470157i	0.848459	+	0.529261i	$0.177531\pi$
$864$	5.29239	+	28.9135i	0.180051	+	0.983657i
$865$	−0.705633	+	1.22219i	−0.0239922	+	0.0415558i
$866$	10.4701	+	15.9271i	0.355788	+	0.541225i
$867$	−16.7201	+	13.0277i	−0.567845	+	0.442443i
$868$	−7.01159	+	29.2529i	−0.237989	+	0.992907i
$869$	5.92913	−	10.2696i	0.201132	−	0.348371i
$870$	2.00156	+	0.679660i	0.0678593	+	0.0230426i
$871$	5.51646			0.186918
$872$	15.2255	+	5.55375i	0.515600	+	0.188074i
$873$	1.44800	−	1.49155i	0.0490073	−	0.0504812i
$874$	−0.328797	+	0.654307i	−0.0111217	+	0.0221323i
$875$	3.00335	+	1.10018i	0.101532	+	0.0371929i
$876$	−23.0999	−	23.4540i	−0.780475	−	0.792439i
$877$	17.3854			0.587063			0.293532	−	0.955949i	$-0.405169\pi$
$877$	17.3854			0.587063			0.293532	+	0.955949i	$0.405169\pi$
$878$	−0.728764	−	12.5631i	−0.0245946	−	0.423985i
$879$	2.61935	−	6.45856i	0.0883484	−	0.217842i
$880$	−0.261550	−	0.277748i	−0.00881684	−	0.00936288i
$881$			25.8969i			0.872489i	0.899828	+	0.436244i	$0.143692\pi$
$881$			25.8969i			0.872489i	−0.899828	+	0.436244i	$0.856308\pi$
$882$	−29.3384	+	4.61070i	−0.987875	+	0.155250i
$883$			1.97128i			0.0663387i	0.999450	+	0.0331694i	$0.0105601\pi$
$883$			1.97128i			0.0663387i	−0.999450	+	0.0331694i	$0.989440\pi$
$884$	6.88537	−	0.801513i	0.231580	−	0.0269578i
$885$	−1.24316	−	1.59551i	−0.0417885	−	0.0536326i
$886$	34.8204	−	2.01987i	1.16982	−	0.0678589i
$887$	0.786525			0.0264089			0.0132045	−	0.999913i	$-0.495797\pi$
$887$	0.786525			0.0264089			0.0132045	+	0.999913i	$0.495797\pi$
$888$	29.3896	+	26.5703i	0.986250	+	0.891642i
$889$	40.3444	+	14.7789i	1.35311	+	0.495668i
$890$	−2.70269	−	1.35814i	−0.0905945	−	0.0455248i
$891$	−3.72542	−	6.03254i	−0.124806	−	0.202098i
$892$	−32.6868	+	3.80501i	−1.09444	+	0.127401i
$893$	−6.31875			−0.211449
$894$	−22.2267	−	25.3497i	−0.743371	−	0.847822i
$895$	0.960291	−	1.66327i	0.0320990	−	0.0555971i
$896$	−16.3557	−	25.0698i	−0.546404	−	0.837522i
$897$	−0.224859	−	0.0911942i	−0.00750782	−	0.00304488i
$898$	−32.3237	+	21.2488i	−1.07866	+	0.709081i
$899$	−20.2602	+	35.0916i	−0.675714	+	1.17037i
$900$	−3.91020	+	29.6554i	−0.130340	+	0.988512i
$901$	10.5538	−	6.09325i	0.351599	−	0.202996i
$902$	0.491559	+	8.47395i	0.0163671	+	0.282152i
$903$	−14.3737	+	4.61647i	−0.478327	+	0.153627i
$904$	16.6627	+	6.07798i	0.554192	+	0.202151i
$905$	−0.122100			−0.00405873
$906$	−24.8360	+	21.7762i	−0.825120	+	0.723465i
$907$		−	34.1606i		−	1.13429i	−0.823620	−	0.567143i	$-0.808049\pi$
$907$		−	34.1606i		−	1.13429i	0.823620	−	0.567143i	$-0.191951\pi$
$908$	18.9576	−	43.8920i	0.629128	−	1.45661i
$909$	14.0424	+	49.4641i	0.465758	+	1.64062i
$910$	0.688764	+	0.207934i	0.0228323	+	0.00689295i
$911$	−24.1673	+	13.9530i	−0.800699	+	0.462284i	−0.843716	−	0.536790i	$-0.819637\pi$
$911$	−24.1673	+	13.9530i	−0.800699	+	0.462284i	0.0430164	+	0.999074i	$0.486303\pi$
$912$	40.1917	+	6.21911i	1.33088	+	0.205935i
$913$	−1.57314	+	0.908251i	−0.0520633	+	0.0300587i
$914$	3.01022	+	51.8930i	0.0995694	+	1.71647i
$915$	1.76885	+	0.717379i	0.0584765	+	0.0237158i
$916$	35.8126	+	15.4680i	1.18328	+	0.511076i
$917$	0.488582	−	1.33377i	0.0161344	−	0.0440448i
$918$	7.30357	+	14.2767i	0.241054	+	0.471200i
$919$	28.7012	−	16.5707i	0.946767	−	0.546616i	0.0546916	−	0.998503i	$-0.482582\pi$
$919$	28.7012	−	16.5707i	0.946767	−	0.546616i	0.892075	+	0.451887i	$0.149249\pi$
$920$	−0.00522422	−	0.0297503i	−0.000172237	−	0.000980839i
$921$	2.16554	+	15.5575i	0.0713569	+	0.512638i
$922$	−3.40744	+	6.78081i	−0.112218	+	0.223314i
$923$	10.6590	−	18.4620i	0.350846	−	0.607683i
$924$	5.87413	+	4.19841i	0.193245	+	0.138118i
$925$	20.1591	+	34.9166i	0.662828	+	1.14805i
$926$	7.21123	−	0.418311i	0.236976	−	0.0137465i
$927$	−16.2967	+	4.62649i	−0.535253	+	0.151954i
$928$	−11.5188	−	38.6404i	−0.378125	−	1.26843i
$929$	−36.1392	−	20.8650i	−1.18569	−	0.684559i	−0.228366	−	0.973575i	$-0.573338\pi$
$929$	−36.1392	−	20.8650i	−1.18569	−	0.684559i	−0.957324	+	0.289017i	$0.906672\pi$
$930$	1.59637	+	0.542073i	0.0523472	+	0.0177753i
$931$	−7.30306	+	40.4373i	−0.239348	+	1.32528i
$932$	19.0059	−	2.21244i	0.622560	−	0.0724710i
$933$	−12.3160	+	9.59615i	−0.403207	+	0.314164i
$934$	0.865408	+	0.434878i	0.0283170	+	0.0142297i
$935$	−0.180256	−	0.104071i	−0.00589499	−	0.00340348i
$936$	−0.984997	+	13.4404i	−0.0321956	+	0.439315i
$937$			11.0320i			0.360400i	0.983630	+	0.180200i	$0.0576745\pi$
$937$			11.0320i			0.360400i	−0.983630	+	0.180200i	$0.942326\pi$
$938$	−8.89667	−	9.47358i	−0.290486	−	0.309324i
$939$	−17.0863	+	42.1300i	−0.557591	+	1.37486i
$940$	0.209140	−	0.155546i	0.00682138	−	0.00507336i
$941$	9.51174	−	5.49160i	0.310074	−	0.179021i	−0.336886	−	0.941546i	$-0.609374\pi$
$941$	9.51174	−	5.49160i	0.310074	−	0.179021i	0.646959	+	0.762524i	$0.276040\pi$
$942$	−29.3260	−	9.95810i	−0.955494	−	0.324452i
$943$	−0.336018	+	0.582000i	−0.0109422	+	0.0189525i
$944$	−11.1001	+	36.9507i	−0.361276	+	1.20264i
$945$	0.106091	+	1.66105i	0.00345114	+	0.0540340i
$946$	3.27954	+	1.64801i	0.106627	+	0.0535814i
$947$	−24.7658	−	14.2986i	−0.804782	−	0.464641i	0.0403587	−	0.999185i	$-0.487150\pi$
$947$	−24.7658	−	14.2986i	−0.804782	−	0.464641i	−0.845140	+	0.534544i	$0.820483\pi$
$948$	−36.5894	−	37.1502i	−1.18837	−	1.20658i
$949$	−7.54648	−	13.0709i	−0.244969	−	0.424299i
$950$	36.9804	+	18.5831i	1.19980	+	0.602916i
$951$	17.9448	+	7.27772i	0.581899	+	0.235996i
$952$	−12.4808	−	10.5318i	−0.404506	−	0.341338i
$953$	−16.5382			−0.535726			−0.267863	−	0.963457i	$-0.586318\pi$
$953$	−16.5382			−0.535726			−0.267863	+	0.963457i	$0.586318\pi$
$954$	7.77936	+	22.3786i	0.251866	+	0.724535i
$955$	0.409954	−	0.710060i	0.0132658	−	0.0229770i
$956$	18.8776	−	14.0401i	0.610546	−	0.454090i
$957$	5.97770	+	7.67196i	0.193232	+	0.247999i
$958$	15.6556	−	10.2916i	0.505809	−	0.332506i
$959$	−11.9906	+	32.7328i	−0.387197	+	1.05700i
$960$	−1.48337	+	0.783543i	−0.0478755	+	0.0252887i
$961$	−0.658793	+	1.14106i	−0.0212514	+	0.0368085i
$962$	9.97820	+	15.1789i	0.321710	+	0.489386i
$963$	−19.2967	+	19.8770i	−0.621826	+	0.640528i
$964$	−37.2639	−	16.0948i	−1.20019	−	0.518379i
$965$	−0.115624	+	0.0667556i	−0.00372207	+	0.00214894i
$966$	0.206030	+	0.533230i	0.00662891	+	0.0171564i
$967$	−3.27690	−	1.89192i	−0.105378	−	0.0608401i	0.446385	−	0.894841i	$-0.352711\pi$
$967$	−3.27690	−	1.89192i	−0.105378	−	0.0608401i	−0.551763	+	0.834001i	$0.686045\pi$
$968$	5.07752	+	28.9149i	0.163198	+	0.929360i
$969$	21.9764	−	3.05902i	0.705984	−	0.0982697i
$970$	0.106011	+	0.0532718i	0.00340381	+	0.00171045i
$971$	9.98069	+	17.2871i	0.320296	+	0.554768i	0.980549	−	0.196275i	$-0.0628844\pi$
$971$	9.98069	+	17.2871i	0.320296	+	0.554768i	−0.660253	+	0.751043i	$0.729551\pi$
$972$	−29.9296	+	8.73037i	−0.959992	+	0.280027i
$973$	−20.6188	−	24.6762i	−0.661009	−	0.791082i
$974$	−10.2555	+	0.594906i	−0.328609	+	0.0190620i
$975$	−5.15415	+	12.7087i	−0.165065	+	0.407003i
$976$	−8.36351	−	35.4364i	−0.267709	−	1.13429i
$977$	18.9119	+	32.7563i	0.605045	+	1.04797i	0.992044	+	0.125888i	$0.0401781\pi$
$977$	18.9119	+	32.7563i	0.605045	+	1.04797i	−0.387000	+	0.922080i	$0.626489\pi$
$978$	−5.81874	−	1.97584i	−0.186063	−	0.0631804i
$979$	−6.95858	−	12.0526i	−0.222397	−	0.385203i
$980$	−0.753712	−	1.51818i	−0.0240764	−	0.0484965i
$981$	−4.20261	+	16.6682i	−0.134179	+	0.532176i
$982$	−38.9636	+	2.26021i	−1.24338	+	0.0721261i
$983$	23.5153			0.750023			0.375011	−	0.927020i	$-0.377639\pi$
$983$	23.5153			0.750023			0.375011	+	0.927020i	$0.377639\pi$
$984$	36.4930	+	7.83401i	1.16336	+	0.249739i
$985$			1.09499i			0.0348892i
$986$	−12.0836	−	18.3817i	−0.384821	−	0.585391i
$987$	−3.31305	+	3.65452i	−0.105456	+	0.116325i
$988$	17.1179	+	7.39347i	0.544594	+	0.235218i
$989$	0.145295	+	0.251659i	0.00462012	+	0.00800229i
$990$	0.264578	−	0.306178i	0.00840883	−	0.00973097i
$991$	20.3738	+	11.7628i	0.647194	+	0.373658i	0.787380	−	0.616468i	$-0.211437\pi$
$991$	20.3738	+	11.7628i	0.647194	+	0.373658i	−0.140186	+	0.990125i	$0.544770\pi$
$992$	−9.18703	−	30.8182i	−0.291688	−	0.978479i
$993$	10.6788	−	26.3309i	0.338882	−	0.835585i
$994$	−48.8956	+	11.4695i	−1.55087	+	0.363789i
$995$	−0.724047	−	0.418029i	−0.0229538	−	0.0132524i
$996$	2.00859	+	7.73088i	0.0636446	+	0.244962i
$997$		−	51.9427i		−	1.64504i	−0.568736	−	0.822520i	$-0.692567\pi$
$997$		−	51.9427i		−	1.64504i	0.568736	−	0.822520i	$-0.307433\pi$
$998$	−11.5446	−	17.5617i	−0.365439	−	0.555907i
$999$	−24.8350	+	33.8994i	−0.785744	+	1.07253i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	252.2.n.b.31.8	✓	84
3.2	odd	2		756.2.n.b.199.35		84
4.3	odd	2	inner	252.2.n.b.31.22	yes	84
7.5	odd	6		252.2.bj.b.103.36	yes	84
9.2	odd	6		756.2.bj.b.451.7		84
9.7	even	3		252.2.bj.b.115.36	yes	84
12.11	even	2		756.2.n.b.199.21		84
21.5	even	6		756.2.bj.b.523.7		84
28.19	even	6		252.2.bj.b.103.35	yes	84
36.7	odd	6		252.2.bj.b.115.35	yes	84
36.11	even	6		756.2.bj.b.451.8		84
63.47	even	6		756.2.n.b.19.21		84
63.61	odd	6	inner	252.2.n.b.187.22	yes	84
84.47	odd	6		756.2.bj.b.523.8		84
252.47	odd	6		756.2.n.b.19.35		84
252.187	even	6	inner	252.2.n.b.187.8	yes	84

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
252.2.n.b.31.8	✓	84	1.1	even	1	trivial
252.2.n.b.31.22	yes	84	4.3	odd	2	inner
252.2.n.b.187.8	yes	84	252.187	even	6	inner
252.2.n.b.187.22	yes	84	63.61	odd	6	inner
252.2.bj.b.103.35	yes	84	28.19	even	6
252.2.bj.b.103.36	yes	84	7.5	odd	6
252.2.bj.b.115.35	yes	84	36.7	odd	6
252.2.bj.b.115.36	yes	84	9.7	even	3
756.2.n.b.19.21		84	63.47	even	6
756.2.n.b.19.35		84	252.47	odd	6
756.2.n.b.199.21		84	12.11	even	2
756.2.n.b.199.35		84	3.2	odd	2
756.2.bj.b.451.7		84	9.2	odd	6
756.2.bj.b.451.8		84	36.11	even	6
756.2.bj.b.523.7		84	21.5	even	6
756.2.bj.b.523.8		84	84.47	odd	6

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:	\( N \)	\(=\)	\( 252 = 2^{2} \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	252.n (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.18174 + 0.776846i) q^{2} +(-0.238791 - 1.71551i) q^{3} +(0.793020 - 1.83606i) q^{4} +0.121070i q^{5} +(1.61488 + 1.84178i) q^{6} +(0.910048 - 2.48431i) q^{7} +(0.489193 + 2.78580i) q^{8} +(-2.88596 + 0.819299i) q^{9} +O(q^{10})\)	\(q+(-1.18174 + 0.776846i) q^{2} +(-0.238791 - 1.71551i) q^{3} +(0.793020 - 1.83606i) q^{4} +0.121070i q^{5} +(1.61488 + 1.84178i) q^{6} +(0.910048 - 2.48431i) q^{7} +(0.489193 + 2.78580i) q^{8} +(-2.88596 + 0.819299i) q^{9} +(-0.0940527 - 0.143073i) q^{10} -0.787794i q^{11} +(-3.33915 - 0.921999i) q^{12} +(-1.37544 - 0.794110i) q^{13} +(0.854488 + 3.64278i) q^{14} +(0.207697 - 0.0289105i) q^{15} +(-2.74224 - 2.91207i) q^{16} +(-1.88990 - 1.09114i) q^{17} +(2.77398 - 3.21014i) q^{18} +(-2.93511 - 5.08375i) q^{19} +(0.222292 + 0.0960109i) q^{20} +(-4.47918 - 0.967966i) q^{21} +(0.611995 + 0.930968i) q^{22} +0.0882074i q^{23} +(4.66226 - 1.50444i) q^{24} +4.98534 q^{25} +(2.24231 - 0.130073i) q^{26} +(2.09466 + 4.75525i) q^{27} +(-3.83966 - 3.64101i) q^{28} +(-3.56388 - 6.17283i) q^{29} +(-0.222985 + 0.195513i) q^{30} +(-2.84243 - 4.92323i) q^{31} +(5.50284 + 1.31101i) q^{32} +(-1.35147 + 0.188119i) q^{33} +(3.08102 - 0.178725i) q^{34} +(0.300776 + 0.110180i) q^{35} +(-0.784340 + 5.94851i) q^{36} +(4.04368 + 7.00386i) q^{37} +(7.41783 + 3.72755i) q^{38} +(-1.03386 + 2.54921i) q^{39} +(-0.337277 + 0.0592266i) q^{40} +(6.59809 + 3.80941i) q^{41} +(6.04519 - 2.33575i) q^{42} +(2.85304 - 1.64720i) q^{43} +(-1.44644 - 0.624737i) q^{44} +(-0.0991925 - 0.349403i) q^{45} +(-0.0685235 - 0.104238i) q^{46} +(0.538205 - 0.932198i) q^{47} +(-4.34086 + 5.39972i) q^{48} +(-5.34362 - 4.52169i) q^{49} +(-5.89138 + 3.87284i) q^{50} +(-1.42056 + 3.50271i) q^{51} +(-2.54878 + 1.89564i) q^{52} +(-2.79216 + 4.83615i) q^{53} +(-6.16944 - 3.99224i) q^{54} +0.0953783 q^{55} +(7.36599 + 1.31991i) q^{56} +(-8.02036 + 6.24916i) q^{57} +(9.00692 + 4.52609i) q^{58} +(-4.82274 - 8.35323i) q^{59} +(0.111626 - 0.404271i) q^{60} +(7.88300 + 4.55125i) q^{61} +(7.18360 + 3.60985i) q^{62} +(-0.590967 + 7.91522i) q^{63} +(-7.52138 + 2.72559i) q^{64} +(0.0961428 - 0.166524i) q^{65} +(1.45095 - 1.27219i) q^{66} +(-3.00802 + 1.73668i) q^{67} +(-3.50213 + 2.60469i) q^{68} +(0.151321 - 0.0210632i) q^{69} +(-0.441031 + 0.103453i) q^{70} +13.4226i q^{71} +(-3.69419 - 7.63891i) q^{72} +(8.22990 + 4.75153i) q^{73} +(-10.2195 - 5.13543i) q^{74} +(-1.19046 - 8.55241i) q^{75} +(-11.6617 + 1.35751i) q^{76} +(-1.95713 - 0.716931i) q^{77} +(-0.758586 - 3.81565i) q^{78} +(13.0358 + 7.52624i) q^{79} +(0.352564 - 0.332003i) q^{80} +(7.65750 - 4.72892i) q^{81} +(-10.7566 + 0.623969i) q^{82} +(-1.15290 - 1.99689i) q^{83} +(-5.32932 + 7.45643i) q^{84} +(0.132104 - 0.228811i) q^{85} +(-2.09193 + 4.16294i) q^{86} +(-9.73853 + 7.58790i) q^{87} +(2.19464 - 0.385383i) q^{88} +(15.2992 - 8.83298i) q^{89} +(0.388652 + 0.335846i) q^{90} +(-3.22453 + 2.69434i) q^{91} +(0.161954 + 0.0699502i) q^{92} +(-7.76711 + 6.05184i) q^{93} +(0.0881561 + 1.51972i) q^{94} +(0.615490 - 0.355353i) q^{95} +(0.935020 - 9.75324i) q^{96} +(-0.600098 + 0.346467i) q^{97} +(9.82743 + 1.19229i) q^{98} +(0.645439 + 2.27354i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 84 q - q^{2} + q^{4} - 16 q^{8} - 14 q^{9}+O(q^{10}) \) 84 * q - q^2 + q^4 - 16 * q^8 - 14 * q^9	\( 84 q - q^{2} + q^{4} - 16 q^{8} - 14 q^{9} - 18 q^{10} + 9 q^{12} - 18 q^{13} - 25 q^{14} - 7 q^{16} + 6 q^{17} - 13 q^{18} + 24 q^{20} + 4 q^{21} + 6 q^{22} + 6 q^{24} - 32 q^{25} - 30 q^{26} - 4 q^{28} + 10 q^{29} + 14 q^{30} + 9 q^{32} - 6 q^{33} + 24 q^{34} - 38 q^{36} + 2 q^{37} - 6 q^{41} + 7 q^{42} - 13 q^{44} - 18 q^{45} + 10 q^{46} - 9 q^{48} + 2 q^{49} - 17 q^{50} - 2 q^{53} - 42 q^{54} - 32 q^{56} + 6 q^{57} + 26 q^{58} + 8 q^{60} - 24 q^{61} - 8 q^{64} + 50 q^{65} + 27 q^{66} + 18 q^{69} - 4 q^{70} - 7 q^{72} + 30 q^{73} + 46 q^{74} + 46 q^{77} + 15 q^{78} + 3 q^{80} - 26 q^{81} - 18 q^{82} + 29 q^{84} - 50 q^{85} + 18 q^{86} - 2 q^{88} - 102 q^{89} + 39 q^{90} + 28 q^{92} - 24 q^{93} + 3 q^{94} - 30 q^{96} - 6 q^{97} + 21 q^{98}+O(q^{100}) \) 84 * q - q^2 + q^4 - 16 * q^8 - 14 * q^9 - 18 * q^10 + 9 * q^12 - 18 * q^13 - 25 * q^14 - 7 * q^16 + 6 * q^17 - 13 * q^18 + 24 * q^20 + 4 * q^21 + 6 * q^22 + 6 * q^24 - 32 * q^25 - 30 * q^26 - 4 * q^28 + 10 * q^29 + 14 * q^30 + 9 * q^32 - 6 * q^33 + 24 * q^34 - 38 * q^36 + 2 * q^37 - 6 * q^41 + 7 * q^42 - 13 * q^44 - 18 * q^45 + 10 * q^46 - 9 * q^48 + 2 * q^49 - 17 * q^50 - 2 * q^53 - 42 * q^54 - 32 * q^56 + 6 * q^57 + 26 * q^58 + 8 * q^60 - 24 * q^61 - 8 * q^64 + 50 * q^65 + 27 * q^66 + 18 * q^69 - 4 * q^70 - 7 * q^72 + 30 * q^73 + 46 * q^74 + 46 * q^77 + 15 * q^78 + 3 * q^80 - 26 * q^81 - 18 * q^82 + 29 * q^84 - 50 * q^85 + 18 * q^86 - 2 * q^88 - 102 * q^89 + 39 * q^90 + 28 * q^92 - 24 * q^93 + 3 * q^94 - 30 * q^96 - 6 * q^97 + 21 * q^98

Introduction

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