LMFDB - Embedded newform 855.2.ci.a.182.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [855,2,Mod(182,855)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(855, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([2, 3, 8]))

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

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

chi := DirichletCharacter("855.182");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 855 = 3^{2} \cdot 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	855.ci (of order $12$, degree $4$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$6.82720937282$
Analytic rank:	$0$
Dimension:	$464$
Relative dimension:	$116$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			182.6
Character	$\chi$	$=$	855.182
Dual form			855.2.ci.a.653.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-2.51258 - 0.673244i) q^{2} +(-0.200386 - 1.72042i) q^{3} +(4.12775 + 2.38316i) q^{4} +(-2.14878 + 0.618674i) q^{5} +(-0.654775 + 4.45760i) q^{6} +(-0.809553 + 0.216919i) q^{7} +(-5.08819 - 5.08819i) q^{8} +(-2.91969 + 0.689498i) q^{9} +O(q^{10})$	\(q+(-2.51258 - 0.673244i) q^{2} +(-0.200386 - 1.72042i) q^{3} +(4.12775 + 2.38316i) q^{4} +(-2.14878 + 0.618674i) q^{5} +(-0.654775 + 4.45760i) q^{6} +(-0.809553 + 0.216919i) q^{7} +(-5.08819 - 5.08819i) q^{8} +(-2.91969 + 0.689498i) q^{9} +(5.81549 - 0.107817i) q^{10} +(-1.95110 - 1.12647i) q^{11} +(3.27289 - 7.57902i) q^{12} +(-1.15958 - 4.32762i) q^{13} +2.18011 q^{14} +(1.49496 + 3.57283i) q^{15} +(4.59258 + 7.95459i) q^{16} +(-1.49679 - 5.58611i) q^{17} +(7.80016 + 0.233245i) q^{18} +(-1.36632 - 4.13922i) q^{19} +(-10.3440 - 2.56715i) q^{20} +(0.535416 + 1.34930i) q^{21} +(4.14390 + 4.14390i) q^{22} +(1.81063 - 0.485156i) q^{23} +(-7.73423 + 9.77344i) q^{24} +(4.23449 - 2.65878i) q^{25} +11.6542i q^{26} +(1.77129 + 4.88493i) q^{27} +(-3.85859 - 1.03391i) q^{28} -3.08752 q^{29} +(-1.35084 - 9.98349i) q^{30} +(5.30623 + 9.19066i) q^{31} +(-2.45904 - 9.17726i) q^{32} +(-1.54702 + 3.58243i) q^{33} +15.0433i q^{34} +(1.60535 - 0.966960i) q^{35} +(-13.6949 - 4.11201i) q^{36} +(-0.509987 - 0.509987i) q^{37} +(0.646282 + 11.3200i) q^{38} +(-7.21297 + 2.86217i) q^{39} +(14.0813 + 7.78546i) q^{40} -0.838869i q^{41} +(-0.436864 - 3.75070i) q^{42} +(-4.12932 - 1.10645i) q^{43} +(-5.36910 - 9.29955i) q^{44} +(5.84719 - 3.28791i) q^{45} -4.87597 q^{46} +(-2.26215 + 2.26215i) q^{47} +(12.7649 - 9.49516i) q^{48} +(-5.45386 + 3.14878i) q^{49} +(-12.4295 + 3.82957i) q^{50} +(-9.31052 + 3.69450i) q^{51} +(5.52695 - 20.6268i) q^{52} +(-2.41547 + 9.01466i) q^{53} +(-1.16177 - 13.4663i) q^{54} +(4.88939 + 1.21343i) q^{55} +(5.22289 + 3.01544i) q^{56} +(-6.84741 + 3.18009i) q^{57} +(7.75766 + 2.07866i) q^{58} +7.64421 q^{59} +(-2.34377 + 18.3105i) q^{60} -6.56422 q^{61} +(-7.14477 - 26.6647i) q^{62} +(2.21408 - 1.19152i) q^{63} +6.34382i q^{64} +(5.16907 + 8.58170i) q^{65} +(6.29887 - 7.95963i) q^{66} +(5.86930 - 1.57268i) q^{67} +(7.13420 - 26.6252i) q^{68} +(-1.19750 - 3.01782i) q^{69} +(-4.68456 + 1.34878i) q^{70} +(8.01227 + 4.62589i) q^{71} +(18.3642 + 11.3477i) q^{72} +(3.63616 + 13.5703i) q^{73} +(0.938038 + 1.62473i) q^{74} +(-5.42276 - 6.75231i) q^{75} +(4.22460 - 20.3419i) q^{76} +(1.82387 + 0.488704i) q^{77} +(20.0501 - 2.33534i) q^{78} +(-9.04512 + 5.22220i) q^{79} +(-14.7897 - 14.2513i) q^{80} +(8.04919 - 4.02624i) q^{81} +(-0.564764 + 2.10773i) q^{82} +(-3.18001 + 0.852082i) q^{83} +(-1.00554 + 6.84558i) q^{84} +(6.67226 + 11.0773i) q^{85} +(9.63034 + 5.56008i) q^{86} +(0.618698 + 5.31184i) q^{87} +(4.19588 + 15.6592i) q^{88} +(7.45492 + 12.9123i) q^{89} +(-16.9051 + 4.32456i) q^{90} +(1.87749 + 3.25191i) q^{91} +(8.63002 + 2.31241i) q^{92} +(14.7485 - 10.9706i) q^{93} +(7.20682 - 4.16086i) q^{94} +(5.49675 + 8.04896i) q^{95} +(-15.2960 + 6.06958i) q^{96} +(2.92932 - 10.9324i) q^{97} +(15.8232 - 4.23980i) q^{98} +(6.47330 + 1.94366i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 464 q - 6 q^{2} - 2 q^{3} - 4 q^{6} - 4 q^{7}+O(q^{10}) $ 464 * q - 6 * q^2 - 2 * q^3 - 4 * q^6 - 4 * q^7	$ 464 q - 6 q^{2} - 2 q^{3} - 4 q^{6} - 4 q^{7} - 4 q^{10} - 24 q^{11} + 2 q^{12} + 2 q^{13} + 10 q^{15} + 212 q^{16} + 18 q^{17} - 24 q^{18} - 12 q^{20} - 4 q^{21} - 20 q^{22} + 18 q^{23} - 4 q^{25} - 2 q^{27} - 20 q^{28} + 2 q^{30} - 8 q^{31} - 30 q^{32} + 10 q^{33} - 68 q^{36} - 16 q^{37} + 30 q^{38} - 36 q^{40} - 14 q^{42} + 2 q^{43} + 6 q^{45} - 56 q^{46} + 42 q^{48} - 108 q^{50} + 12 q^{51} - 34 q^{52} - 14 q^{55} - 24 q^{56} - 78 q^{57} - 12 q^{58} - 42 q^{60} - 8 q^{61} - 12 q^{62} + 92 q^{63} - 84 q^{65} - 52 q^{66} + 2 q^{67} - 60 q^{68} - 84 q^{70} - 118 q^{72} - 4 q^{73} + 98 q^{75} - 60 q^{76} - 12 q^{77} + 92 q^{78} + 120 q^{80} - 12 q^{81} + 4 q^{82} - 12 q^{83} + 2 q^{85} - 264 q^{86} + 102 q^{87} + 48 q^{88} - 34 q^{90} - 8 q^{91} + 54 q^{92} - 52 q^{93} - 36 q^{95} + 96 q^{96} + 2 q^{97} + 42 q^{98}+O(q^{100}) $ 464 * q - 6 * q^2 - 2 * q^3 - 4 * q^6 - 4 * q^7 - 4 * q^10 - 24 * q^11 + 2 * q^12 + 2 * q^13 + 10 * q^15 + 212 * q^16 + 18 * q^17 - 24 * q^18 - 12 * q^20 - 4 * q^21 - 20 * q^22 + 18 * q^23 - 4 * q^25 - 2 * q^27 - 20 * q^28 + 2 * q^30 - 8 * q^31 - 30 * q^32 + 10 * q^33 - 68 * q^36 - 16 * q^37 + 30 * q^38 - 36 * q^40 - 14 * q^42 + 2 * q^43 + 6 * q^45 - 56 * q^46 + 42 * q^48 - 108 * q^50 + 12 * q^51 - 34 * q^52 - 14 * q^55 - 24 * q^56 - 78 * q^57 - 12 * q^58 - 42 * q^60 - 8 * q^61 - 12 * q^62 + 92 * q^63 - 84 * q^65 - 52 * q^66 + 2 * q^67 - 60 * q^68 - 84 * q^70 - 118 * q^72 - 4 * q^73 + 98 * q^75 - 60 * q^76 - 12 * q^77 + 92 * q^78 + 120 * q^80 - 12 * q^81 + 4 * q^82 - 12 * q^83 + 2 * q^85 - 264 * q^86 + 102 * q^87 + 48 * q^88 - 34 * q^90 - 8 * q^91 + 54 * q^92 - 52 * q^93 - 36 * q^95 + 96 * q^96 + 2 * q^97 + 42 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/855\mathbb{Z}\right)^\times$.

$n$	$172$	$191$	$496$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{2}{3}\right)$

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 $

$2$	−2.51258	−	0.673244i	−1.77666	−	0.476055i	−0.786694	−	0.617343i	$-0.788209\pi$
$2$	−2.51258	−	0.673244i	−1.77666	−	0.476055i	−0.989969	+	0.141287i	$0.954876\pi$
$3$	−0.200386	−	1.72042i	−0.115693	−	0.993285i
$3$	−0.200386	−	1.72042i	−0.115693	−	0.993285i
$4$	4.12775	+	2.38316i	2.06388	+	1.19158i
$5$	−2.14878	+	0.618674i	−0.960962	+	0.276679i
$5$	−2.14878	+	0.618674i	−0.960962	+	0.276679i
$6$	−0.654775	+	4.45760i	−0.267311	+	1.81981i
$7$	−0.809553	+	0.216919i	−0.305982	+	0.0819877i	−0.408543	−	0.912739i	$-0.633963\pi$
$7$	−0.809553	+	0.216919i	−0.305982	+	0.0819877i	0.102561	+	0.994727i	$0.467296\pi$
$8$	−5.08819	−	5.08819i	−1.79895	−	1.79895i
$9$	−2.91969	+	0.689498i	−0.973230	+	0.229833i
$10$	5.81549	−	0.107817i	1.83902	−	0.0340947i
$11$	−1.95110	−	1.12647i	−0.588278	−	0.339642i	0.176138	−	0.984365i	$-0.443639\pi$
$11$	−1.95110	−	1.12647i	−0.588278	−	0.339642i	−0.764416	+	0.644723i	$0.776973\pi$
$12$	3.27289	−	7.57902i	0.944802	−	2.18788i
$13$	−1.15958	−	4.32762i	−0.321611	−	1.20027i	−0.917675	−	0.397331i	$-0.869937\pi$
$13$	−1.15958	−	4.32762i	−0.321611	−	1.20027i	0.596065	−	0.802936i	$-0.296730\pi$
$14$	2.18011			0.582658
$15$	1.49496	+	3.57283i	0.385998	+	0.922499i
$16$	4.59258	+	7.95459i	1.14815	+	1.98865i
$17$	−1.49679	−	5.58611i	−0.363026	−	1.35483i	−0.870077	−	0.492915i	$-0.835931\pi$
$17$	−1.49679	−	5.58611i	−0.363026	−	1.35483i	0.507051	−	0.861916i	$-0.330735\pi$
$18$	7.80016	+	0.233245i	1.83852	+	0.0549764i
$19$	−1.36632	−	4.13922i	−0.313455	−	0.949603i
$19$	−1.36632	−	4.13922i	−0.313455	−	0.949603i
$20$	−10.3440	−	2.56715i	−2.31299	−	0.574031i
$21$	0.535416	+	1.34930i	0.116837	+	0.294442i
$22$	4.14390	+	4.14390i	0.883483	+	0.883483i
$23$	1.81063	−	0.485156i	0.377542	−	0.101162i	−0.0650576	−	0.997882i	$-0.520723\pi$
$23$	1.81063	−	0.485156i	0.377542	−	0.101162i	0.442599	+	0.896720i	$0.354056\pi$
$24$	−7.73423	+	9.77344i	−1.57874	+	1.99499i
$25$	4.23449	−	2.65878i	0.846897	−	0.531757i
$26$			11.6542i			2.28557i
$27$	1.77129	+	4.88493i	0.340885	+	0.940105i
$28$	−3.85859	−	1.03391i	−0.729205	−	0.195390i
$29$	−3.08752			−0.573339			−0.286669	−	0.958030i	$-0.592548\pi$
$29$	−3.08752			−0.573339			−0.286669	+	0.958030i	$0.592548\pi$
$30$	−1.35084	−	9.98349i	−0.246628	−	1.82273i
$31$	5.30623	+	9.19066i	0.953027	+	1.65069i	0.738820	+	0.673903i	$0.235383\pi$
$31$	5.30623	+	9.19066i	0.953027	+	1.65069i	0.214207	+	0.976788i	$0.431283\pi$
$32$	−2.45904	−	9.17726i	−0.434701	−	1.62233i
$33$	−1.54702	+	3.58243i	−0.269302	+	0.623622i
$34$			15.0433i			2.57990i
$35$	1.60535	−	0.966960i	0.271353	−	0.163446i
$36$	−13.6949	−	4.11201i	−2.28249	−	0.685335i
$37$	−0.509987	−	0.509987i	−0.0838413	−	0.0838413i	0.663942	−	0.747784i	$-0.268882\pi$
$37$	−0.509987	−	0.509987i	−0.0838413	−	0.0838413i	−0.747784	+	0.663942i	$0.768882\pi$
$38$	0.646282	+	11.3200i	0.104841	+	1.83635i
$39$	−7.21297	+	2.86217i	−1.15500	+	0.458314i
$40$	14.0813	+	7.78546i	2.22645	+	1.23099i
$41$		−	0.838869i		−	0.131009i	−0.997852	−	0.0655047i	$-0.979134\pi$
$41$		−	0.838869i		−	0.131009i	0.997852	−	0.0655047i	$-0.0208657\pi$
$42$	−0.436864	−	3.75070i	−0.0674096	−	0.578746i
$43$	−4.12932	−	1.10645i	−0.629715	−	0.168732i	−0.0701747	−	0.997535i	$-0.522356\pi$
$43$	−4.12932	−	1.10645i	−0.629715	−	0.168732i	−0.559540	+	0.828803i	$0.689022\pi$
$44$	−5.36910	−	9.29955i	−0.809422	−	1.40196i
$45$	5.84719	−	3.28791i	0.871648	−	0.490133i
$46$	−4.87597			−0.718923
$47$	−2.26215	+	2.26215i	−0.329969	+	0.329969i	−0.852574	−	0.522606i	$-0.824960\pi$
$47$	−2.26215	+	2.26215i	−0.329969	+	0.329969i	0.522606	+	0.852574i	$0.324960\pi$
$48$	12.7649	−	9.49516i	1.84246	−	1.37051i
$49$	−5.45386	+	3.14878i	−0.779122	+	0.449826i
$50$	−12.4295	+	3.82957i	−1.75780	+	0.541583i
$51$	−9.31052	+	3.69450i	−1.30373	+	0.517333i
$52$	5.52695	−	20.6268i	0.766449	−	2.86043i
$53$	−2.41547	+	9.01466i	−0.331790	+	1.23826i	0.575517	+	0.817790i	$0.304801\pi$
$53$	−2.41547	+	9.01466i	−0.331790	+	1.23826i	−0.907307	+	0.420469i	$0.861866\pi$
$54$	−1.16177	−	13.4663i	−0.158096	−	1.83253i
$55$	4.88939	+	1.21343i	0.659285	+	0.163619i
$56$	5.22289	+	3.01544i	0.697938	+	0.402955i
$57$	−6.84741	+	3.18009i	−0.906962	+	0.421213i
$58$	7.75766	+	2.07866i	1.01863	+	0.272941i
$59$	7.64421			0.995191			0.497596	−	0.867409i	$-0.334216\pi$
$59$	7.64421			0.995191			0.497596	+	0.867409i	$0.334216\pi$
$60$	−2.34377	+	18.3105i	−0.302579	+	2.36387i
$61$	−6.56422			−0.840462			−0.420231	−	0.907417i	$-0.638051\pi$
$61$	−6.56422			−0.840462			−0.420231	+	0.907417i	$0.638051\pi$
$62$	−7.14477	−	26.6647i	−0.907387	−	3.38642i
$63$	2.21408	−	1.19152i	0.278948	−	0.150118i
$64$			6.34382i			0.792978i
$65$	5.16907	+	8.58170i	0.641145	+	1.06443i
$66$	6.29887	−	7.95963i	0.775337	−	0.979763i
$67$	5.86930	−	1.57268i	0.717050	−	0.192133i	0.118195	−	0.992990i	$-0.462289\pi$
$67$	5.86930	−	1.57268i	0.717050	−	0.192133i	0.598855	+	0.800858i	$0.295623\pi$
$68$	7.13420	−	26.6252i	0.865149	−	3.22878i
$69$	−1.19750	−	3.01782i	−0.144162	−	0.363303i
$70$	−4.68456	+	1.34878i	−0.559913	+	0.161210i
$71$	8.01227	+	4.62589i	0.950882	+	0.548992i	0.893355	−	0.449352i	$-0.148345\pi$
$71$	8.01227	+	4.62589i	0.950882	+	0.548992i	0.0575269	+	0.998344i	$0.481679\pi$
$72$	18.3642	+	11.3477i	2.16425	+	1.33733i
$73$	3.63616	+	13.5703i	0.425580	+	1.58829i	0.762653	+	0.646807i	$0.223896\pi$
$73$	3.63616	+	13.5703i	0.425580	+	1.58829i	−0.337074	+	0.941478i	$0.609437\pi$
$74$	0.938038	+	1.62473i	0.109045	+	0.188871i
$75$	−5.42276	−	6.75231i	−0.626166	−	0.779689i
$76$	4.22460	−	20.3419i	0.484595	−	2.33337i
$77$	1.82387	+	0.488704i	0.207849	+	0.0556930i
$78$	20.0501	−	2.33534i	2.27023	−	0.264425i
$79$	−9.04512	+	5.22220i	−1.01766	+	0.587544i	−0.913424	−	0.407010i	$-0.866572\pi$
$79$	−9.04512	+	5.22220i	−1.01766	+	0.587544i	−0.104231	+	0.994553i	$0.533238\pi$
$80$	−14.7897	−	14.2513i	−1.65354	−	1.59335i
$81$	8.04919	−	4.02624i	0.894354	−	0.447360i
$82$	−0.564764	+	2.10773i	−0.0623677	+	0.232759i
$83$	−3.18001	+	0.852082i	−0.349052	+	0.0935281i	−0.429085	−	0.903264i	$-0.641164\pi$
$83$	−3.18001	+	0.852082i	−0.349052	+	0.0935281i	0.0800334	+	0.996792i	$0.474497\pi$
$84$	−1.00554	+	6.84558i	−0.109714	+	0.746913i
$85$	6.67226	+	11.0773i	0.723708	+	1.20150i
$86$	9.63034	+	5.56008i	1.03847	+	0.599559i
$87$	0.618698	+	5.31184i	0.0663314	+	0.569489i
$88$	4.19588	+	15.6592i	0.447282	+	1.66928i
$89$	7.45492	+	12.9123i	0.790220	+	1.36870i	0.925831	+	0.377938i	$0.123367\pi$
$89$	7.45492	+	12.9123i	0.790220	+	1.36870i	−0.135611	+	0.990762i	$0.543300\pi$
$90$	−16.9051	+	4.32456i	−1.78195	+	0.455849i
$91$	1.87749	+	3.25191i	0.196814	+	0.340892i
$92$	8.63002	+	2.31241i	0.899742	+	0.241085i
$93$	14.7485	−	10.9706i	1.52935	−	1.13760i
$94$	7.20682	−	4.16086i	0.743327	−	0.429160i
$95$	5.49675	+	8.04896i	0.563954	+	0.825806i
$96$	−15.2960	+	6.06958i	−1.56114	+	0.619474i
$97$	2.92932	−	10.9324i	0.297427	−	1.11001i	−0.641843	−	0.766836i	$-0.721830\pi$
$97$	2.92932	−	10.9324i	0.297427	−	1.11001i	0.939270	−	0.343178i	$-0.111503\pi$
$98$	15.8232	−	4.23980i	1.59838	−	0.428285i
$99$	6.47330	+	1.94366i	0.650591	+	0.195345i
$100$	23.8152	−	0.883354i	2.38152	−	0.0883354i
$101$		−	1.63203i		−	0.162394i	−0.996698	−	0.0811968i	$-0.974126\pi$
$101$		−	1.63203i		−	0.162394i	0.996698	−	0.0811968i	$-0.0258742\pi$
$102$	25.8807	−	3.01447i	2.56257	−	0.298477i
$103$	−13.5401	−	3.62805i	−1.33414	−	0.357482i	−0.479884	−	0.877332i	$-0.659321\pi$
$103$	−13.5401	−	3.62805i	−1.33414	−	0.357482i	−0.854257	+	0.519850i	$0.825988\pi$
$104$	−16.1196	+	27.9200i	−1.58066	+	2.73778i
$105$	−1.98527	−	2.56811i	−0.193742	−	0.250621i
$106$	12.1381	−	21.0239i	1.17896	−	2.04202i
$107$	−2.09482	+	2.09482i	−0.202514	+	0.202514i	−0.801076	−	0.598562i	$-0.795739\pi$
$107$	−2.09482	+	2.09482i	−0.202514	+	0.202514i	0.598562	+	0.801076i	$0.295739\pi$
$108$	−4.33011	+	24.3851i	−0.416665	+	2.34645i
$109$	6.73945	+	3.89102i	0.645522	+	0.372692i	0.786739	−	0.617286i	$-0.211768\pi$
$109$	6.73945	+	3.89102i	0.645522	+	0.372692i	−0.141216	+	0.989979i	$0.545101\pi$
$110$	−11.4680	−	6.34060i	−1.09344	−	0.604552i
$111$	−0.775197	+	0.979586i	−0.0735785	+	0.0929782i
$112$	−5.44344	−	5.44344i	−0.514357	−	0.514357i
$113$	−0.487714	+	1.82017i	−0.0458803	+	0.171227i	−0.985064	−	0.172187i	$-0.944917\pi$
$113$	−0.487714	+	1.82017i	−0.0458803	+	0.171227i	0.939184	+	0.343414i	$0.111583\pi$
$114$	19.3456	−	3.38025i	1.81189	−	0.316590i
$115$	−3.59048	+	2.16268i	−0.334814	+	0.201671i
$116$	−12.7445	−	7.35807i	−1.18330	−	0.683179i
$117$	6.36951	+	11.8358i	0.588862	+	1.09422i
$118$	−19.2067	−	5.14642i	−1.76812	−	0.473766i
$119$	2.42347	+	4.19757i	0.222159	+	0.384791i
$120$	10.5726	−	25.7859i	0.965138	−	2.35392i
$121$	−2.96215	−	5.13059i	−0.269286	−	0.466417i
$122$	16.4931	+	4.41932i	1.49322	+	0.400107i
$123$	−1.44321	+	0.168098i	−0.130130	+	0.0151569i
$124$			50.5824i			4.54243i
$125$	−7.45404	+	8.33290i	−0.666710	+	0.745317i
$126$	−6.36524	+	1.50318i	−0.567061	+	0.133914i
$127$	−3.82048	+	14.2582i	−0.339012	+	1.26521i	0.560441	+	0.828194i	$0.310632\pi$
$127$	−3.82048	+	14.2582i	−0.339012	+	1.26521i	−0.899453	+	0.437017i	$0.856035\pi$
$128$	−0.647141	+	2.41516i	−0.0571997	+	0.213472i
$129$	−1.07609	+	7.32588i	−0.0947449	+	0.645008i
$130$	−7.21014	−	25.0423i	−0.632371	−	2.19635i
$131$		−	15.6985i		−	1.37158i	−0.727798	−	0.685792i	$-0.759456\pi$
$131$		−	15.6985i		−	1.37158i	0.727798	−	0.685792i	$-0.240544\pi$
$132$	−14.9232	+	11.1006i	−1.29890	+	0.966184i
$133$	2.00399	+	3.05454i	0.173768	+	0.264862i
$134$	−15.8059			−1.36542
$135$	−6.82829	−	9.40077i	−0.587686	−	0.809089i
$136$	−20.8072	+	36.0392i	−1.78421	+	3.09034i
$137$	−0.477135	+	0.477135i	−0.0407644	+	0.0407644i	−0.727195	−	0.686431i	$-0.759176\pi$
$137$	−0.477135	+	0.477135i	−0.0407644	+	0.0407644i	0.686431	+	0.727195i	$0.259176\pi$
$138$	0.977079	+	8.38872i	0.0831745	+	0.714095i
$139$	−11.6558	−	6.72946i	−0.988629	−	0.570785i	−0.0837645	−	0.996486i	$-0.526694\pi$
$139$	−11.6558	−	6.72946i	−0.988629	−	0.570785i	−0.904864	+	0.425701i	$0.860028\pi$
$140$	8.93090	−	0.165575i	0.754799	−	0.0139937i
$141$	4.34516	+	3.43855i	0.365928	+	0.289578i
$142$	−17.0171	−	17.0171i	−1.42805	−	1.42805i
$143$	−2.61246	+	9.74985i	−0.218465	+	0.815323i
$144$	−18.8936	−	20.0584i	−1.57447	−	1.67153i
$145$	6.63440	−	1.91017i	0.550957	−	0.158631i
$146$		−	36.5445i		−	3.02445i
$147$	6.51011	+	8.75195i	0.536945	+	0.721849i
$148$	−0.889720	−	3.32048i	−0.0731346	−	0.272942i
$149$	24.3289			1.99310			0.996549	−	0.0830108i	$-0.0264536\pi$
$149$	24.3289			1.99310			0.996549	+	0.0830108i	$0.0264536\pi$
$150$	9.07917	+	20.6166i	0.741311	+	1.68334i
$151$	8.28231	−	14.3454i	0.674005	−	1.16741i	−0.302754	−	0.953069i	$-0.597906\pi$
$151$	8.28231	−	14.3454i	0.674005	−	1.16741i	0.976759	−	0.214341i	$-0.0687605\pi$
$152$	−14.1091	+	28.0133i	−1.14440	+	2.27218i
$153$	8.22179	+	15.2777i	0.664692	+	1.23513i
$154$	−4.25360	−	2.45582i	−0.342765	−	0.197895i
$155$	−17.0879	−	16.4659i	−1.37254	−	1.32257i
$156$	−36.5944	−	5.37533i	−2.92989	−	0.430371i
$157$	2.99252	+	2.99252i	0.238829	+	0.238829i	0.816365	−	0.577536i	$-0.195986\pi$
$157$	2.99252	+	2.99252i	0.238829	+	0.238829i	−0.577536	+	0.816365i	$0.695986\pi$
$158$	26.2424	−	7.03163i	2.08773	−	0.559407i
$159$	15.9930	+	2.34921i	1.26833	+	0.186304i
$160$	10.9617	+	18.1985i	0.866596	+	1.43872i
$161$	−1.36056	+	0.785519i	−0.107227	+	0.0619076i
$162$	−22.9349	+	4.69719i	−1.80193	+	0.369046i
$163$	4.65492	−	4.65492i	0.364601	−	0.364601i	−0.500903	−	0.865504i	$-0.666998\pi$
$163$	4.65492	−	4.65492i	0.364601	−	0.364601i	0.865504	+	0.500903i	$0.166998\pi$
$164$	1.99916	−	3.46265i	0.156108	−	0.270387i
$165$	1.10785	−	8.65496i	0.0862457	−	0.673787i
$166$	8.56370			0.664672
$167$	−4.46086	−	16.6481i	−0.345191	−	1.28827i	−0.892389	−	0.451268i	$-0.850972\pi$
$167$	−4.46086	−	16.6481i	−0.345191	−	1.28827i	0.547197	−	0.837004i	$-0.315695\pi$
$168$	4.14122	−	9.58982i	0.319502	−	0.739870i
$169$	−6.12537	+	3.53648i	−0.471182	+	0.272037i
$170$	−9.30688	−	32.3246i	−0.713805	−	2.47919i
$171$	6.84322	+	11.1432i	0.523314	+	0.852140i
$172$	−14.4080	−	14.4080i	−1.09860	−	1.09860i
$173$	1.57880	−	5.89216i	0.120034	−	0.447972i	−0.879580	−	0.475750i	$-0.842177\pi$
$173$	1.57880	−	5.89216i	0.120034	−	0.447972i	0.999614	+	0.0277782i	$0.00884321\pi$
$174$	2.02163	−	13.7630i	0.153260	−	1.04337i
$175$	−2.85130	+	3.07097i	−0.215538	+	0.232143i
$176$		−	20.6936i		−	1.55984i
$177$	−1.53180	−	13.1513i	−0.115137	−	0.988508i
$178$	−10.0380	−	37.4622i	−0.752377	−	2.80791i
$179$	−10.1518			−0.758783			−0.379391	−	0.925236i	$-0.623867\pi$
$179$	−10.1518			−0.758783			−0.379391	+	0.925236i	$0.623867\pi$
$180$	31.9714	+	0.363089i	2.38301	+	0.0270631i
$181$	4.40722	+	7.63354i	0.327586	+	0.567396i	0.982032	−	0.188712i	$-0.0604314\pi$
$181$	4.40722	+	7.63354i	0.327586	+	0.567396i	−0.654446	+	0.756109i	$0.727098\pi$
$182$	−2.52802	−	9.43468i	−0.187389	−	0.699345i
$183$	1.31538	+	11.2932i	0.0972358	+	0.834819i
$184$	−11.6814	−	6.74425i	−0.861163	−	0.497193i
$185$	1.41136	+	0.780333i	0.103766	+	0.0573712i
$186$	−44.4427	+	17.6353i	−3.25870	+	1.29308i
$187$	−3.37218	+	12.5851i	−0.246598	+	0.920316i
$188$	−14.7287	+	3.94654i	−1.07420	+	0.287831i
$189$	−2.49359	−	3.57038i	−0.181382	−	0.259707i
$190$	−8.39211	−	23.9243i	−0.608827	−	1.73565i
$191$	1.33861	+	0.772845i	0.0968582	+	0.0559211i	0.547647	−	0.836710i	$-0.315524\pi$
$191$	1.33861	+	0.772845i	0.0968582	+	0.0559211i	−0.450789	+	0.892631i	$0.648857\pi$
$192$	10.9140	−	1.27122i	0.787653	−	0.0917421i
$193$	1.85855	−	1.85855i	0.133781	−	0.133781i	−0.637045	−	0.770826i	$-0.719844\pi$
$193$	1.85855	−	1.85855i	0.133781	−	0.133781i	0.770826	+	0.637045i	$0.219844\pi$
$194$	−14.7203	+	25.4963i	−1.05686	+	1.83053i
$195$	13.7283	−	10.6126i	0.983105	−	0.759987i
$196$	−30.0162			−2.14402
$197$	−17.6633	+	17.6633i	−1.25846	+	1.25846i	−0.306630	+	0.951829i	$0.599201\pi$
$197$	−17.6633	+	17.6633i	−1.25846	+	1.25846i	−0.951829	+	0.306630i	$0.900799\pi$
$198$	−14.9561	−	9.24170i	−1.06289	−	0.656779i
$199$	6.43244	−	3.71377i	0.455984	−	0.263262i	−0.254370	−	0.967107i	$-0.581868\pi$
$199$	6.43244	−	3.71377i	0.455984	−	0.263262i	0.710354	+	0.703845i	$0.248535\pi$
$200$	−35.0743	−	8.01747i	−2.48013	−	0.566921i
$201$	−3.88179	−	9.78253i	−0.273800	−	0.690006i
$202$	−1.09876	+	4.10062i	−0.0773083	+	0.288519i
$203$	2.49952	−	0.669743i	0.175432	−	0.0470068i
$204$	−47.2361	−	6.93849i	−3.30719	−	0.485792i
$205$	0.518986	+	1.80254i	0.0362476	+	0.125895i
$206$	31.5779	+	18.2315i	2.20014	+	1.27025i
$207$	−4.95195	+	2.66493i	−0.344185	+	0.185225i
$208$	29.0990	−	29.0990i	2.01765	−	2.01765i
$209$	−1.99687	+	9.61514i	−0.138127	+	0.665093i
$210$	3.25918	+	7.78914i	0.224905	+	0.537502i
$211$	−13.3740			−0.920705			−0.460352	−	0.887736i	$-0.652277\pi$
$211$	−13.3740			−0.920705			−0.460352	+	0.887736i	$0.652277\pi$
$212$	−31.4538	+	31.4538i	−2.16026	+	2.16026i
$213$	6.35292	−	14.7114i	0.435295	−	1.00801i
$214$	6.67373	−	3.85308i	0.456207	−	0.263391i
$215$	9.55751	−	0.177193i	0.651817	−	0.0120844i
$216$	15.8428	−	33.8681i	1.07796	−	2.30443i
$217$	−6.28930	−	6.28930i	−0.426946	−	0.426946i
$218$	−14.3138	−	14.3138i	−0.969453	−	0.969453i
$219$	22.6180	−	8.97502i	1.52838	−	0.606476i
$220$	17.2904	+	16.6609i	1.16572	+	1.12328i
$221$	−22.4389	+	12.9551i	−1.50941	+	0.871456i
$222$	2.60725	−	1.93939i	0.174987	−	0.130164i
$223$	−13.6283	−	3.65170i	−0.912620	−	0.244536i	−0.228192	−	0.973616i	$-0.573281\pi$
$223$	−13.6283	−	3.65170i	−0.912620	−	0.244536i	−0.684428	+	0.729081i	$0.739948\pi$
$224$	3.98145	+	6.89607i	0.266022	+	0.460763i
$225$	−10.5302	+	10.6825i	−0.702011	+	0.712166i
$226$	2.45084	−	4.24498i	0.163028	−	0.282372i
$227$	−5.17629	−	19.3182i	−0.343562	−	1.28219i	−0.894283	−	0.447502i	$-0.852314\pi$
$227$	−5.17629	−	19.3182i	−0.343562	−	1.28219i	0.550720	−	0.834690i	$-0.314353\pi$
$228$	−35.8431	−	3.19185i	−2.37377	−	0.211385i
$229$	−13.3583	+	7.71240i	−0.882739	+	0.509650i	−0.871561	−	0.490288i	$-0.836892\pi$
$229$	−13.3583	+	7.71240i	−0.882739	+	0.509650i	−0.0111787	+	0.999938i	$0.503558\pi$
$230$	10.4774	−	3.01664i	0.690858	−	0.198911i
$231$	0.475298	−	3.23575i	0.0312723	−	0.212897i
$232$	15.7099	+	15.7099i	1.03141	+	1.03141i
$233$	−3.88230	+	1.04026i	−0.254338	+	0.0681497i	−0.383735	−	0.923443i	$-0.625362\pi$
$233$	−3.88230	+	1.04026i	−0.254338	+	0.0681497i	0.129397	+	0.991593i	$0.458696\pi$
$234$	−8.03554	−	34.0266i	−0.525300	−	2.22439i
$235$	3.46133	−	6.26039i	0.225792	−	0.408383i
$236$	31.5534	+	18.2174i	2.05395	+	1.18585i
$237$	10.7969	+	14.5149i	0.701334	+	0.942847i
$238$	−3.26317	−	12.1783i	−0.211520	−	0.789403i
$239$	1.41776	+	2.45563i	0.0917073	+	0.158842i	0.908230	−	0.418472i	$-0.137434\pi$
$239$	1.41776	+	2.45563i	0.0917073	+	0.158842i	−0.816522	+	0.577314i	$0.804101\pi$
$240$	−21.5546	+	28.3003i	−1.39134	+	1.82678i
$241$	3.28333			0.211498			0.105749	−	0.994393i	$-0.466276\pi$
$241$	3.28333			0.211498			0.105749	+	0.994393i	$0.466276\pi$
$242$	3.98850	+	14.8853i	0.256390	+	0.956861i
$243$	−8.53977	−	13.0412i	−0.547827	−	0.836592i
$244$	−27.0955	−	15.6436i	−1.73461	−	1.00148i
$245$	9.77105	−	10.1402i	0.624249	−	0.647833i
$246$	3.73935	+	0.549271i	0.238412	+	0.0350202i
$247$	−16.3286	+	10.7127i	−1.03897	+	0.681632i
$248$	19.7647	−	73.7630i	1.25506	−	4.68395i
$249$	2.10317	+	5.30021i	0.133283	+	0.335887i
$250$	24.3390	−	15.9187i	1.53933	−	1.00679i
$251$	7.12069	−	4.11113i	0.449454	−	0.259492i	−0.258146	−	0.966106i	$-0.583111\pi$
$251$	7.12069	−	4.11113i	0.449454	−	0.259492i	0.707600	+	0.706614i	$0.249778\pi$
$252$	11.9788	+	0.358196i	0.754591	+	0.0225642i
$253$	−4.07922	−	1.09302i	−0.256458	−	0.0687178i
$254$	19.1985	−	33.2528i	1.20462	−	2.08647i
$255$	17.7205	−	13.6988i	1.10970	−	0.857854i
$256$	9.59581	−	16.6204i	0.599738	−	1.03878i
$257$	3.23639	+	12.0784i	0.201880	+	0.753428i	0.990378	+	0.138390i	$0.0441926\pi$
$257$	3.23639	+	12.0784i	0.201880	+	0.753428i	−0.788498	+	0.615038i	$0.789141\pi$
$258$	7.63588	−	17.6824i	0.475389	−	1.10086i
$259$	0.523487	+	0.302236i	0.0325279	+	0.0187800i
$260$	0.885116	+	47.7419i	0.0548925	+	2.96082i
$261$	9.01462	−	2.12884i	0.557991	−	0.131772i
$262$	−10.5689	+	39.4437i	−0.652950	+	2.43684i
$263$	−7.44893	+	27.7998i	−0.459321	+	1.71421i	0.215743	+	0.976450i	$0.430783\pi$
$263$	−7.44893	+	27.7998i	−0.459321	+	1.71421i	−0.675064	+	0.737759i	$0.735884\pi$
$264$	26.0997	−	10.3566i	1.60632	−	0.637403i
$265$	−0.386827	−	20.8649i	−0.0237626	−	1.28172i
$266$	−2.97872	−	9.02395i	−0.182637	−	0.553294i
$267$	20.7207	−	15.4130i	1.26809	−	0.943263i
$268$	27.9750	+	7.49587i	1.70884	+	0.457883i
$269$	6.46784	−	11.2026i	0.394351	−	0.683036i	−0.598667	−	0.800998i	$-0.704303\pi$
$269$	6.46784	−	11.2026i	0.394351	−	0.683036i	0.993018	+	0.117962i	$0.0376360\pi$
$270$	10.8276	+	28.2173i	0.658948	+	1.71725i
$271$	2.93205	−	5.07846i	0.178109	−	0.308494i	−0.763124	−	0.646253i	$-0.776335\pi$
$271$	2.93205	−	5.07846i	0.178109	−	0.308494i	0.941233	+	0.337758i	$0.109669\pi$
$272$	37.5611	−	37.5611i	2.27747	−	2.27747i
$273$	5.21842	−	3.88171i	0.315833	−	0.234932i
$274$	1.52007	−	0.877611i	0.0918306	−	0.0530184i
$275$	−11.2569	+	0.417542i	−0.678818	+	0.0251787i
$276$	2.24897	−	15.3106i	0.135372	−	0.921592i
$277$	−1.23947	+	0.332115i	−0.0744725	+	0.0199548i	−0.295863	−	0.955230i	$-0.595607\pi$
$277$	−1.23947	+	0.332115i	−0.0744725	+	0.0199548i	0.221390	+	0.975185i	$0.428940\pi$
$278$	24.7555	+	24.7555i	1.48473	+	1.48473i
$279$	−21.8295	−	23.1752i	−1.30690	−	1.38747i
$280$	−13.0884	−	3.24824i	−0.782181	−	0.194119i
$281$			23.0615i			1.37573i	0.725836	+	0.687867i	$0.241453\pi$
$281$			23.0615i			1.37573i	−0.725836	+	0.687867i	$0.758547\pi$
$282$	−8.60257	−	11.5650i	−0.512276	−	0.688684i
$283$	−16.5744	+	16.5744i	−0.985245	+	0.985245i	−0.999893	−	0.0146478i	$-0.995337\pi$
$283$	−16.5744	+	16.5744i	−0.985245	+	0.985245i	0.0146478	+	0.999893i	$0.495337\pi$
$284$	22.0485	+	38.1890i	1.30834	+	2.26610i
$285$	12.7461	−	11.0696i	0.755015	−	0.655707i
$286$	13.1281	−	22.7385i	0.776278	−	1.34455i
$287$	0.181967	+	0.679109i	0.0107412	+	0.0400865i
$288$	13.5073	+	25.0993i	0.795928	+	1.47899i
$289$	−14.2418	+	8.22252i	−0.837754	+	0.483678i
$290$	−17.9555	+	0.332888i	−1.05438	+	0.0195478i
$291$	−19.3953	−	2.84896i	−1.13697	−	0.167009i
$292$	−17.3311	+	64.6805i	−1.01422	+	3.78514i
$293$	−7.59087	+	28.3295i	−0.443464	+	1.65503i	0.276498	+	0.961015i	$0.410826\pi$
$293$	−7.59087	+	28.3295i	−0.443464	+	1.65503i	−0.719961	+	0.694014i	$0.755841\pi$
$294$	−10.4650	−	26.3729i	−0.610330	−	1.53810i
$295$	−16.4257	+	4.72927i	−0.956341	+	0.275349i
$296$			5.18982i			0.301652i
$297$	2.04674	−	11.5263i	0.118764	−	0.668822i
$298$	−61.1282	−	16.3793i	−3.54106	−	0.948825i
$299$	−4.19914	−	7.27313i	−0.242843	−	0.420616i
$300$	−6.29199	−	40.7952i	−0.363268	−	2.35531i
$301$	3.58291			0.206516
$302$	−30.4679	+	30.4679i	−1.75323	+	1.75323i
$303$	−2.80779	+	0.327038i	−0.161303	+	0.0187878i
$304$	26.6509	−	29.8782i	1.52853	−	1.71363i
$305$	14.1050	−	4.06111i	0.807653	−	0.232539i
$306$	−10.3723	−	43.9217i	−0.592945	−	2.51084i
$307$	6.93576	−	1.85843i	0.395845	−	0.106066i	−0.0554050	−	0.998464i	$-0.517645\pi$
$307$	6.93576	−	1.85843i	0.395845	−	0.106066i	0.451250	+	0.892398i	$0.350978\pi$
$308$	6.36382	+	6.36382i	0.362612	+	0.362612i
$309$	−3.52852	+	24.0216i	−0.200730	+	1.36654i
$310$	31.8493	+	52.8761i	1.80892	+	3.00316i
$311$	29.6943	−	17.1440i	1.68381	−	0.972149i	0.724724	−	0.689039i	$-0.241967\pi$
$311$	29.6943	−	17.1440i	1.68381	−	0.972149i	0.959087	−	0.283110i	$-0.0913662\pi$
$312$	51.2642	+	22.1377i	2.90227	+	1.25330i
$313$	2.85457	−	2.85457i	0.161350	−	0.161350i	−0.621815	−	0.783164i	$-0.713604\pi$
$313$	2.85457	−	2.85457i	0.161350	−	0.161350i	0.783164	+	0.621815i	$0.213604\pi$
$314$	−5.50426	−	9.53365i	−0.310623	−	0.538015i
$315$	−4.02040	+	3.93011i	−0.226524	+	0.221437i
$316$	−49.7814			−2.80042
$317$	22.8773	−	22.8773i	1.28492	−	1.28492i	0.347086	−	0.937833i	$-0.387171\pi$
$317$	22.8773	−	22.8773i	1.28492	−	1.28492i	0.937833	−	0.347086i	$-0.112829\pi$
$318$	−38.6022	−	16.6698i	−2.16470	−	0.934795i
$319$	6.02406	+	3.47799i	0.337283	+	0.194730i
$320$	−3.92476	−	13.6315i	−0.219401	−	0.762022i
$321$	4.02375	+	3.18420i	0.224584	+	0.177725i
$322$	3.94736	−	1.05769i	0.219978	−	0.0589429i
$323$	−21.0771	+	13.8280i	−1.17276	+	0.769409i
$324$	42.8202	+	2.56316i	2.37890	+	0.142398i
$325$	−16.4165	−	15.2422i	−0.910621	−	0.845484i
$326$	−14.8297	+	8.56196i	−0.821344	+	0.474203i
$327$	5.34370	−	12.3744i	0.295507	−	0.684305i
$328$	−4.26833	+	4.26833i	−0.235679	+	0.235679i
$329$	1.34063	−	2.32204i	0.0739112	−	0.128018i
$330$	−8.61045	+	21.0004i	−0.473990	+	1.15604i
$331$	−5.85906	+	10.1482i	−0.322043	+	0.557795i	−0.980909	−	0.194465i	$-0.937703\pi$
$331$	−5.85906	+	10.1482i	−0.322043	+	0.557795i	0.658867	+	0.752260i	$0.271036\pi$
$332$	−15.1570	−	4.06129i	−0.831846	−	0.222892i
$333$	1.84064	+	1.13737i	0.100866	+	0.0623274i
$334$			44.8330i			2.45315i
$335$	−11.6389	+	7.01051i	−0.635898	+	0.383025i
$336$	−8.27421	+	10.4558i	−0.451395	+	0.570410i
$337$	−2.25282	−	2.25282i	−0.122719	−	0.122719i	0.643080	−	0.765799i	$-0.277656\pi$
$337$	−2.25282	−	2.25282i	−0.122719	−	0.122719i	−0.765799	+	0.643080i	$0.777656\pi$
$338$	17.7714	−	4.76183i	0.966636	−	0.259009i
$339$	3.22919	+	0.474335i	0.175386	+	0.0257623i
$340$	1.14251	+	61.6253i	0.0619613	+	3.34210i
$341$		−	23.9092i		−	1.29475i
$342$	−9.69206	−	32.6053i	−0.524087	−	1.76309i
$343$	7.88059	−	7.88059i	0.425512	−	0.425512i
$344$	15.3810	+	26.6406i	0.829285	+	1.43636i
$345$	4.44020	+	5.74376i	0.239052	+	0.309234i
$346$	−7.93372	+	13.7416i	−0.426519	+	0.738753i
$347$	−10.8983	+	10.8983i	−0.585050	+	0.585050i	−0.936287	−	0.351237i	$-0.885761\pi$
$347$	−10.8983	+	10.8983i	−0.585050	+	0.585050i	0.351237	+	0.936287i	$0.385761\pi$
$348$	−10.1051	+	23.4004i	−0.541692	+	1.25439i
$349$	9.64354	+	5.56770i	0.516207	+	0.298032i	0.735381	−	0.677654i	$-0.237003\pi$
$349$	9.64354	+	5.56770i	0.516207	+	0.298032i	−0.219175	+	0.975686i	$0.570336\pi$
$350$	9.23163	−	5.79644i	0.493451	−	0.309833i
$351$	19.0862	−	13.3300i	1.01874	−	0.711501i
$352$	−5.54005	+	20.6758i	−0.295286	+	1.10202i
$353$	−9.77377	+	2.61887i	−0.520205	+	0.139389i	−0.509361	−	0.860553i	$-0.670118\pi$
$353$	−9.77377	+	2.61887i	−0.520205	+	0.139389i	−0.0108436	+	0.999941i	$0.503452\pi$
$354$	−5.00524	+	34.0749i	−0.266025	+	1.81106i
$355$	−20.0785	−	4.98302i	−1.06566	−	0.264471i
$356$			71.0650i			3.76644i
$357$	6.73596	−	5.01052i	0.356505	−	0.265185i
$358$	25.5073	+	6.83465i	1.34810	+	0.361223i
$359$	−3.60255	+	6.23981i	−0.190136	+	0.329324i	−0.945295	−	0.326217i	$-0.894226\pi$
$359$	−3.60255	+	6.23981i	−0.190136	+	0.329324i	0.755159	+	0.655541i	$0.227559\pi$
$360$	−46.4812	−	13.0221i	−2.44977	−	0.686324i
$361$	−15.2663	+	11.3110i	−0.803492	+	0.595316i
$362$	−5.93427	−	22.1470i	−0.311899	−	1.16402i
$363$	−8.23319	+	6.12424i	−0.432131	+	0.321439i
$364$			17.8974i			0.938080i
$365$	−16.2089	−	26.9100i	−0.848412	−	1.40853i
$366$	4.29809	−	29.2607i	0.224665	−	1.52948i
$367$	14.2654	+	14.2654i	0.744646	+	0.744646i	0.973468	−	0.228822i	$-0.0734874\pi$
$367$	14.2654	+	14.2654i	0.744646	+	0.744646i	−0.228822	+	0.973468i	$0.573487\pi$
$368$	12.1747	+	12.1747i	0.634648	+	0.634648i
$369$	0.578398	+	2.44924i	0.0301102	+	0.127502i
$370$	−3.02081	−	2.91084i	−0.157045	−	0.151327i
$371$		−	7.82181i		−	0.406088i
$372$	87.0229	−	10.1360i	4.51193	−	0.525528i
$373$	29.4700	+	7.89647i	1.52590	+	0.408864i	0.921679	−	0.387953i	$-0.126818\pi$
$373$	29.4700	+	7.89647i	1.52590	+	0.408864i	0.604221	+	0.796816i	$0.293484\pi$
$374$	16.9457	−	29.3509i	0.876243	−	1.51770i
$375$	15.8298	+	11.1543i	0.817446	+	0.576005i
$376$	23.0205			1.18719
$377$	3.58024	+	13.3616i	0.184392	+	0.688160i
$378$	3.86161	+	10.6497i	0.198620	+	0.547760i
$379$			5.52325i			0.283711i	0.989887	+	0.141855i	$0.0453068\pi$
$379$			5.52325i			0.283711i	−0.989887	+	0.141855i	$0.954693\pi$
$380$	3.50726	+	46.3238i	0.179918	+	2.37636i
$381$	25.2957	+	3.71567i	1.29594	+	0.190360i
$382$	−2.84304	−	2.84304i	−0.145463	−	0.145463i
$383$	19.5275	+	19.5275i	0.997806	+	0.997806i	0.999998	−	0.00219147i	$-0.000697566\pi$
$383$	19.5275	+	19.5275i	0.997806	+	0.997806i	−0.00219147	+	0.999998i	$0.500698\pi$
$384$	4.28477	+	0.629388i	0.218656	+	0.0321183i
$385$	−4.22144	+	0.0782638i	−0.215144	+	0.00398869i
$386$	−5.92101	+	3.41850i	−0.301371	+	0.173997i
$387$	12.8192	+	0.383328i	0.651638	+	0.0194857i
$388$	38.1451	−	38.1451i	1.93652	−	1.93652i
$389$	−30.0136			−1.52175			−0.760874	−	0.648900i	$-0.775229\pi$
$389$	−30.0136			−1.52175			−0.760874	+	0.648900i	$0.775229\pi$
$390$	−41.6384	+	17.4226i	−2.10844	+	0.882228i
$391$	−5.42027	−	9.38818i	−0.274115	−	0.474781i
$392$	43.7719	+	11.7286i	2.21081	+	0.592386i
$393$	−27.0080	+	3.14577i	−1.36237	+	0.158683i
$394$	56.2722	−	32.4888i	2.83495	−	1.63676i
$395$	16.2051	−	16.8173i	0.815367	−	0.846171i
$396$	22.0881	+	23.4498i	1.10997	+	1.17840i
$397$	−18.4631	+	4.94717i	−0.926635	+	0.248291i	−0.690419	−	0.723409i	$-0.742574\pi$
$397$	−18.4631	+	4.94717i	−0.926635	+	0.248291i	−0.236216	+	0.971701i	$0.575907\pi$
$398$	−18.6623	+	5.00055i	−0.935456	+	0.250655i
$399$	4.85352	−	4.05979i	0.242980	−	0.203243i
$400$	40.5967	+	21.4729i	2.02984	+	1.07364i
$401$			10.3794i			0.518320i	0.965834	+	0.259160i	$0.0834458\pi$
$401$			10.3794i			0.518320i	−0.965834	+	0.259160i	$0.916554\pi$
$402$	3.16729	+	27.1928i	0.157970	+	1.35625i
$403$	33.6207	−	33.6207i	1.67477	−	1.67477i
$404$	3.88940	−	6.73664i	0.193505	−	0.335160i
$405$	−14.8050	+	13.6313i	−0.735665	+	0.677345i
$406$	−6.73114			−0.334061
$407$	0.420551	+	1.56952i	0.0208459	+	0.0777981i
$408$	66.1720	+	28.5754i	3.27600	+	1.41469i
$409$	20.3989	+	11.7773i	1.00866	+	0.582352i	0.910800	−	0.412848i	$-0.135466\pi$
$409$	20.3989	+	11.7773i	1.00866	+	0.582352i	0.0978628	+	0.995200i	$0.468799\pi$
$410$	−0.0904444	−	4.87844i	−0.00446673	−	0.240929i
$411$	0.916483	+	0.725261i	0.0452068	+	0.0357745i
$412$	−47.2438	−	47.2438i	−2.32753	−	2.32753i
$413$	−6.18839	+	1.65818i	−0.304511	+	0.0815935i
$414$	14.2363	−	3.36197i	0.699678	−	0.165232i
$415$	6.30598	−	3.79832i	0.309548	−	0.186452i
$416$	−36.8643	+	21.2836i	−1.80742	+	1.04351i
$417$	−9.24183	+	21.4013i	−0.452575	+	1.04803i
$418$	11.4906	−	22.8144i	0.562026	−	1.11589i
$419$	−8.31327	−	14.3990i	−0.406130	−	0.703437i	0.588323	−	0.808626i	$-0.299789\pi$
$419$	−8.31327	−	14.3990i	−0.406130	−	0.703437i	−0.994452	+	0.105189i	$0.966455\pi$
$420$	−2.07449	−	15.3317i	−0.101225	−	0.748111i
$421$	−2.06696	−	3.58008i	−0.100738	−	0.174483i	0.811251	−	0.584698i	$-0.198787\pi$
$421$	−2.06696	−	3.58008i	−0.100738	−	0.174483i	−0.911989	+	0.410215i	$0.865454\pi$
$422$	33.6033	+	9.00397i	1.63578	+	0.438306i
$423$	5.04503	−	8.16453i	0.245298	−	0.396973i
$424$	58.1587	−	33.5780i	2.82444	−	1.63069i
$425$	−21.1904	−	19.6747i	−1.02789	−	0.954361i
$426$	−25.8666	+	32.6866i	−1.25324	+	1.58367i
$427$	5.31409	−	1.42390i	0.257167	−	0.0689076i
$428$	−13.6392	+	3.65461i	−0.659275	+	0.176652i
$429$	17.2973	+	2.54080i	0.835123	+	0.122671i
$430$	−24.1333	−	5.98933i	−1.16381	−	0.288831i
$431$	−18.9852	+	10.9611i	−0.914487	+	0.527979i	−0.881872	−	0.471489i	$-0.843717\pi$
$431$	−18.9852	+	10.9611i	−0.914487	+	0.527979i	−0.0326149	+	0.999468i	$0.510383\pi$
$432$	−30.7228	+	36.5243i	−1.47815	+	1.75728i
$433$	17.0694	+	4.57374i	0.820304	+	0.219800i	0.644479	−	0.764622i	$-0.277074\pi$
$433$	17.0694	+	4.57374i	0.820304	+	0.219800i	0.175825	+	0.984422i	$0.443741\pi$
$434$	11.5681	+	20.0366i	0.555289	+	0.961789i
$435$	−4.61574	−	11.0312i	−0.221308	−	0.528905i
$436$	18.5459	+	32.1224i	0.888185	+	1.53838i
$437$	−4.48206	−	6.83171i	−0.214406	−	0.326805i
$438$	−62.8720	+	7.32303i	−3.00414	+	0.349908i
$439$	10.0894	−	5.82509i	0.481538	−	0.278016i	−0.239519	−	0.970892i	$-0.576990\pi$
$439$	10.0894	−	5.82509i	0.481538	−	0.278016i	0.721057	+	0.692875i	$0.243656\pi$
$440$	−18.7040	−	31.0523i	−0.891677	−	1.48036i
$441$	13.7525	−	12.9539i	0.654880	−	0.616852i
$442$	65.1016	−	17.4439i	3.09657	−	0.829723i
$443$	−16.6416	−	16.6416i	−0.790667	−	0.790667i	0.190936	−	0.981603i	$-0.438848\pi$
$443$	−16.6416	−	16.6416i	−0.790667	−	0.790667i	−0.981603	+	0.190936i	$0.938848\pi$
$444$	−5.53433	+	2.19607i	−0.262648	+	0.104221i
$445$	−24.0075	−	23.1335i	−1.13806	−	1.09663i
$446$	31.7838	+	18.3504i	1.50500	+	0.868915i
$447$	−4.87517	−	41.8558i	−0.230588	−	1.97971i
$448$	−1.37610	−	5.13566i	−0.0650144	−	0.242637i
$449$	−12.5900			−0.594161			−0.297081	−	0.954852i	$-0.596013\pi$
$449$	−12.5900			−0.594161			−0.297081	+	0.954852i	$0.596013\pi$
$450$	33.6498	−	19.7513i	1.58627	−	0.931084i
$451$	−0.944958	+	1.63672i	−0.0444963	+	0.0770699i
$452$	−6.35093	+	6.35093i	−0.298722	+	0.298722i
$453$	−26.3397	−	11.3744i	−1.23755	−	0.534417i
$454$			52.0234i			2.44158i
$455$	−6.04617	−	5.82607i	−0.283449	−	0.273130i
$456$	51.0219	+	18.6600i	2.38932	+	0.873837i
$457$	−10.0376	+	2.68957i	−0.469540	+	0.125813i	−0.485828	−	0.874054i	$-0.661482\pi$
$457$	−10.0376	+	2.68957i	−0.469540	+	0.125813i	0.0162877	+	0.999867i	$0.494815\pi$
$458$	38.7561	−	10.3847i	1.81095	−	0.485243i
$459$	24.6365	−	17.2064i	1.14993	−	0.803125i
$460$	−19.9746	+	0.370322i	−0.931322	+	0.0172663i
$461$	10.1735	−	5.87367i	0.473827	−	0.273564i	−0.244013	−	0.969772i	$-0.578464\pi$
$461$	10.1735	−	5.87367i	0.473827	−	0.273564i	0.717840	+	0.696208i	$0.245131\pi$
$462$	−3.37267	+	7.81009i	−0.156911	+	0.363358i
$463$	−38.9889	−	10.4471i	−1.81197	−	0.485516i	−0.816230	−	0.577727i	$-0.803940\pi$
$463$	−38.9889	−	10.4471i	−1.81197	−	0.485516i	−0.995740	+	0.0922106i	$0.970607\pi$
$464$	−14.1797	−	24.5600i	−0.658277	−	1.14017i
$465$	−24.9040	+	32.6979i	−1.15489	+	1.51633i
$466$	10.4550			0.484316
$467$	28.3271	−	28.3271i	1.31082	−	1.31082i	0.390010	−	0.920811i	$-0.372472\pi$
$467$	28.3271	−	28.3271i	1.31082	−	1.31082i	0.920811	−	0.390010i	$-0.127528\pi$
$468$	−1.91481	+	64.0348i	−0.0885120	+	2.96001i
$469$	−4.41037	+	2.54633i	−0.203652	+	0.117579i
$470$	−12.9116	+	13.3994i	−0.595569	+	0.618070i
$471$	4.54873	−	5.74806i	0.209595	−	0.264856i
$472$	−38.8952	−	38.8952i	−1.79030	−	1.79030i
$473$	6.81032	+	6.81032i	0.313139	+	0.313139i
$474$	−17.3560	−	43.7389i	−0.797187	−	2.00900i
$475$	−16.7910	−	13.8947i	−0.770422	−	0.637534i
$476$			23.1021i			1.05888i
$477$	0.836839	−	27.9855i	0.0383162	−	1.28137i
$478$	−1.90900	−	7.12448i	−0.0873156	−	0.325866i
$479$	−9.73917			−0.444994			−0.222497	−	0.974933i	$-0.571421\pi$
$479$	−9.73917			−0.444994			−0.222497	+	0.974933i	$0.571421\pi$
$480$	29.1126	−	22.5054i	1.32880	−	1.02723i
$481$	−1.61566	+	2.79840i	−0.0736677	+	0.127596i
$482$	−8.24963	−	2.21048i	−0.375760	−	0.100685i
$483$	1.62406	+	2.18332i	0.0738973	+	0.0993447i
$484$		−	28.2371i		−	1.28350i
$485$	0.469117	+	25.3035i	0.0213015	+	1.14897i
$486$	12.6770	+	38.5164i	0.575039	+	1.74714i
$487$	−15.5692	−	15.5692i	−0.705506	−	0.705506i	0.260081	−	0.965587i	$-0.416251\pi$
$487$	−15.5692	−	15.5692i	−0.705506	−	0.705506i	−0.965587	+	0.260081i	$0.916251\pi$
$488$	33.4000	+	33.4000i	1.51195	+	1.51195i
$489$	−8.94119	−	7.07563i	−0.404335	−	0.319971i
$490$	−31.3774	+	18.8998i	−1.41749	+	0.853804i
$491$		−	16.5364i		−	0.746278i	−0.927775	−	0.373139i	$-0.878281\pi$
$491$		−	16.5364i		−	0.746278i	0.927775	−	0.373139i	$-0.121719\pi$
$492$	−6.35781	−	2.74553i	−0.286632	−	0.123778i
$493$	4.62139	+	17.2473i	0.208137	+	0.776778i
$494$	48.2393	−	15.9234i	2.17039	−	0.716425i
$495$	−15.1122	−	0.171624i	−0.679241	−	0.00771393i
$496$	−48.7386	+	84.4177i	−2.18843	+	3.79047i
$497$	−7.48980	−	2.00689i	−0.335964	−	0.0900212i
$498$	−1.71605	−	14.7332i	−0.0768980	−	0.660209i
$499$			21.6216i			0.967914i	0.875092	+	0.483957i	$0.160801\pi$
$499$			21.6216i			0.967914i	−0.875092	+	0.483957i	$0.839199\pi$
$500$	−50.6271	+	16.6320i	−2.26411	+	0.743805i
$501$	−27.7479	+	11.0106i	−1.23968	+	0.491918i
$502$	−20.6591	+	5.53559i	−0.922061	+	0.247066i
$503$	−1.20319	+	4.49038i	−0.0536477	+	0.200216i	−0.987548	−	0.157317i	$-0.949715\pi$
$503$	−1.20319	+	4.49038i	−0.0536477	+	0.200216i	0.933900	+	0.357533i	$0.116382\pi$
$504$	−17.3284	−	5.20297i	−0.771866	−	0.231759i
$505$	1.00970	+	3.50688i	0.0449309	+	0.156054i
$506$	9.51350	+	5.49262i	0.422926	+	0.244177i
$507$	7.31168	+	9.82954i	0.324723	+	0.436545i
$508$	−49.7496	+	49.7496i	−2.20728	+	2.20728i
$509$	−11.8239	+	20.4796i	−0.524086	+	0.907744i	0.475520	+	0.879705i	$0.342260\pi$
$509$	−11.8239	+	20.4796i	−0.524086	+	0.907744i	−0.999607	+	0.0280395i	$0.991074\pi$
$510$	−53.7470	+	22.4892i	−2.37996	+	0.995836i
$511$	−5.88732	−	10.1971i	−0.260440	−	0.451095i
$512$	−31.7638	+	31.7638i	−1.40378	+	1.40378i
$513$	17.7997	−	14.0062i	0.785874	−	0.618387i
$514$		−	32.5267i		−	1.43469i
$515$	31.3391	−	0.581015i	1.38097	−	0.0256026i
$516$	−21.9006	+	27.6749i	−0.964120	+	1.21832i
$517$	6.96192	−	1.86544i	0.306185	−	0.0820419i
$518$	−1.11183	−	1.11183i	−0.0488508	−	0.0488508i
$519$	−10.4534	−	1.53549i	−0.458851	−	0.0674004i
$520$	17.3641	−	69.9666i	0.761465	−	3.06824i
$521$			5.19866i			0.227757i	0.993495	+	0.113879i	$0.0363275\pi$
$521$			5.19866i			0.227757i	−0.993495	+	0.113879i	$0.963672\pi$
$522$	−24.0832	−	0.720150i	−1.05409	−	0.0315201i
$523$	34.9937	+	9.37654i	1.53017	+	0.410007i	0.923074	−	0.384622i	$-0.125668\pi$
$523$	34.9937	+	9.37654i	1.53017	+	0.410007i	0.607094	+	0.794630i	$0.292335\pi$
$524$	37.4120	−	64.7995i	1.63435	−	2.83078i
$525$	5.85472	+	4.29005i	0.255521	+	0.187233i
$526$	37.4321	−	64.8343i	1.63212	−	2.82691i
$527$	43.3977	−	43.3977i	1.89043	−	1.89043i
$528$	−35.6016	+	4.14671i	−1.54936	+	0.180462i
$529$	−16.8756	+	9.74313i	−0.733721	+	0.423614i
$530$	−13.0752	+	52.6851i	−0.567951	+	2.28850i
$531$	−22.3187	+	5.27067i	−0.968550	+	0.228727i
$532$	0.992501	+	17.3842i	0.0430304	+	0.753701i
$533$	−3.63031	+	0.972739i	−0.157246	+	0.0421340i
$534$	−62.4392	+	24.7764i	−2.70201	+	1.07218i
$535$	3.20529	−	5.79731i	0.138577	−	0.250640i
$536$	−37.8662	−	21.8621i	−1.63557	−	0.944298i
$537$	2.03429	+	17.4654i	0.0877860	+	0.753687i
$538$	−23.7931	+	23.7931i	−1.02579	+	1.02579i
$539$	14.1880			0.611120
$540$	−5.78197	−	55.0770i	−0.248816	−	2.37014i
$541$	−22.4678	−	38.9153i	−0.965964	−	1.67310i	−0.707002	−	0.707212i	$-0.749953\pi$
$541$	−22.4678	−	38.9153i	−0.965964	−	1.67310i	−0.258963	−	0.965887i	$-0.583381\pi$
$542$	−10.7861	+	10.7861i	−0.463301	+	0.463301i
$543$	12.2497	−	9.11193i	0.525687	−	0.391031i
$544$	−47.5845	+	27.4729i	−2.04017	+	1.17789i
$545$	−16.8888	−	4.19142i	−0.723439	−	0.179541i
$546$	−15.7250	+	6.23983i	−0.672970	+	0.267040i
$547$	−3.64285	−	3.64285i	−0.155757	−	0.155757i	0.624927	−	0.780683i	$-0.285129\pi$
$547$	−3.64285	−	3.64285i	−0.155757	−	0.155757i	−0.780683	+	0.624927i	$0.785129\pi$
$548$	−3.10658	+	0.832406i	−0.132707	+	0.0355586i
$549$	19.1655	−	4.52602i	0.817963	−	0.193166i
$550$	28.5650	+	6.52955i	1.21802	+	0.278421i
$551$	4.21855	+	12.7800i	0.179716	+	0.544444i
$552$	−9.26215	+	21.4483i	−0.394223	+	0.912902i
$553$	6.18971	−	6.18971i	0.263213	−	0.263213i
$554$	3.33786			0.141812
$555$	1.05968	−	2.58451i	0.0449810	−	0.109706i
$556$	−32.0747	−	55.5551i	−1.36027	−	2.35606i
$557$	−27.1525	−	7.27550i	−1.15049	−	0.308273i	−0.367329	−	0.930091i	$-0.619728\pi$
$557$	−27.1525	−	7.27550i	−1.15049	−	0.308273i	−0.783162	+	0.621818i	$0.786394\pi$
$558$	39.2458	+	72.9263i	1.66141	+	3.08721i
$559$			19.1532i			0.810092i
$560$	15.0645	+	8.32903i	0.636589	+	0.351966i
$561$	22.3275	+	3.27967i	0.942666	+	0.138468i
$562$	15.5260	−	57.9439i	0.654926	−	2.44422i
$563$	4.73114	−	17.6568i	0.199394	−	0.744147i	−0.791692	−	0.610920i	$-0.790800\pi$
$563$	4.73114	−	17.6568i	0.199394	−	0.744147i	0.991086	−	0.133227i	$-0.0425338\pi$
$564$	9.74113	+	24.5487i	0.410176	+	1.03369i
$565$	−0.0781052	−	4.21288i	−0.00328591	−	0.177237i
$566$	52.8031	−	30.4859i	2.21948	−	1.28142i
$567$	−5.64287	+	5.00548i	−0.236978	+	0.210210i
$568$	−17.2306	−	64.3054i	−0.722979	−	2.69819i
$569$	−10.1862	+	17.6431i	−0.427030	+	0.739637i	−0.996608	−	0.0823003i	$-0.973773\pi$
$569$	−10.1862	+	17.6431i	−0.427030	+	0.739637i	0.569578	+	0.821937i	$0.307107\pi$
$570$	−39.4782	+	19.2321i	−1.65356	+	0.805542i
$571$	18.3631	+	31.8057i	0.768470	+	1.33103i	0.938392	+	0.345572i	$0.112315\pi$
$571$	18.3631	+	31.8057i	0.768470	+	1.33103i	−0.169922	+	0.985457i	$0.554352\pi$
$572$	−34.0190	+	34.0190i	−1.42241	+	1.42241i
$573$	1.06138	−	2.45783i	0.0443397	−	0.102677i
$574$		−	1.82882i		−	0.0763337i
$575$	6.37714	−	6.86845i	0.265945	−	0.286434i
$576$	−4.37405	−	18.5220i	−0.182252	−	0.771750i
$577$	−2.03522	−	2.03522i	−0.0847273	−	0.0847273i	0.663473	−	0.748200i	$-0.269082\pi$
$577$	−2.03522	−	2.03522i	−0.0847273	−	0.0847273i	−0.748200	+	0.663473i	$0.769082\pi$
$578$	41.3195	−	11.0715i	1.71866	−	0.460515i
$579$	−3.56991	−	2.82506i	−0.148360	−	0.117405i
$580$	31.9374	+	7.92613i	1.32613	+	0.329114i
$581$	2.38956	−	1.37961i	0.0991355	−	0.0572359i
$582$	46.8141	+	20.2160i	1.94051	+	0.837980i
$583$	14.8675	−	14.8675i	0.615750	−	0.615750i
$584$	50.5469	−	87.5499i	2.09165	−	3.62284i
$585$	−21.0092	−	21.4918i	−0.868622	−	0.888578i
$586$	38.1454	−	66.0697i	1.57577	−	2.72931i
$587$	−41.4324	−	11.1018i	−1.71010	−	0.458219i	−0.734648	−	0.678448i	$-0.762653\pi$
$587$	−41.4324	−	11.1018i	−1.71010	−	0.458219i	−0.975448	+	0.220229i	$0.929319\pi$
$588$	6.01485	+	51.6405i	0.248048	+	2.12962i
$589$	30.7922	−	34.5211i	1.26877	−	1.42242i
$590$	44.4549	−	0.824176i	1.83018	−	0.0339308i
$591$	33.9278	+	26.8488i	1.39560	+	1.10441i
$592$	1.71458	−	6.39889i	0.0704687	−	0.262993i
$593$	−5.39664	+	20.1405i	−0.221613	+	0.827072i	0.762120	+	0.647436i	$0.224159\pi$
$593$	−5.39664	+	20.1405i	−0.221613	+	0.827072i	−0.983733	+	0.179636i	$0.942508\pi$
$594$	−12.9026	+	27.5827i	−0.529400	+	1.13173i
$595$	−7.80442	−	7.52031i	−0.319950	−	0.308303i
$596$	100.424	+	57.9795i	4.11351	+	2.37493i
$597$	−7.67822	−	10.3223i	−0.314249	−	0.422464i
$598$	5.65410	+	21.1014i	0.231213	+	0.862899i
$599$	−3.58845	+	6.21538i	−0.146620	+	0.253954i	−0.929976	−	0.367620i	$-0.880173\pi$
$599$	−3.58845	+	6.21538i	−0.146620	+	0.253954i	0.783356	+	0.621573i	$0.213506\pi$
$600$	−6.76500	+	61.9491i	−0.276180	+	2.52906i
$601$	20.7492	−	35.9386i	0.846376	−	1.46597i	−0.0380443	−	0.999276i	$-0.512113\pi$
$601$	20.7492	−	35.9386i	0.846376	−	1.46597i	0.884421	−	0.466691i	$-0.154554\pi$
$602$	−9.00236	−	2.41217i	−0.366909	−	0.0983129i
$603$	−16.0522	+	8.63860i	−0.653696	+	0.351791i
$604$	68.3746	−	39.4761i	2.78212	−	1.60626i
$605$	9.53916	+	9.19189i	0.387822	+	0.373703i
$606$	7.27496	+	1.06862i	0.295525	+	0.0434096i
$607$	2.70773	−	10.1054i	0.109903	−	0.410165i	−0.888952	−	0.458001i	$-0.848566\pi$
$607$	2.70773	−	10.1054i	0.109903	−	0.410165i	0.998855	+	0.0478357i	$0.0152324\pi$
$608$	−34.6269	+	22.7176i	−1.40431	+	0.921320i
$609$	−1.65311	−	4.16601i	−0.0669873	−	0.168815i
$610$	−38.1742	+	0.707735i	−1.54563	+	0.0286553i
$611$	12.4129	+	7.16659i	0.502172	+	0.289929i
$612$	−2.47164	+	82.6563i	−0.0999101	+	3.34118i
$613$	2.99335	+	11.1713i	0.120900	+	0.451207i	0.999660	−	0.0260574i	$-0.00829525\pi$
$613$	2.99335	+	11.1713i	0.120900	+	0.451207i	−0.878760	+	0.477264i	$0.841629\pi$
$614$	−18.6778			−0.753776
$615$	2.99713	−	1.25408i	0.120856	−	0.0505694i
$616$	−6.79358	−	11.7668i	−0.273721	−	0.474099i
$617$	−4.49027	−	16.7579i	−0.180771	−	0.674648i	−0.995496	−	0.0948005i	$-0.969779\pi$
$617$	−4.49027	−	16.7579i	−0.180771	−	0.674648i	0.814725	−	0.579848i	$-0.196888\pi$
$618$	25.0381	−	57.9806i	1.00718	−	2.33232i
$619$	−19.8058	−	11.4349i	−0.796064	−	0.459608i	0.0460292	−	0.998940i	$-0.485343\pi$
$619$	−19.8058	−	11.4349i	−0.796064	−	0.459608i	−0.842093	+	0.539332i	$0.818677\pi$
$620$	−31.2940	−	108.690i	−1.25680	−	4.36511i
$621$	5.57710	+	7.98543i	0.223801	+	0.320444i
$622$	−86.1516	+	23.0842i	−3.45436	+	0.925594i
$623$	−8.83607	−	8.83607i	−0.354010	−	0.354010i
$624$	−55.8935	−	44.2314i	−2.23753	−	1.77067i
$625$	10.8617	−	22.5172i	0.434469	−	0.900687i
$626$	−9.09416	+	5.25051i	−0.363476	+	0.209853i
$627$	16.9422	+	1.50872i	0.676607	+	0.0602523i
$628$	5.22074	+	19.4841i	0.208330	+	0.777498i
$629$	−2.08550	+	3.61219i	−0.0831543	+	0.144027i
$630$	12.7475	−	7.16800i	0.507873	−	0.285580i
$631$	1.72565	+	2.98891i	0.0686969	+	0.118987i	0.898328	−	0.439326i	$-0.144783\pi$
$631$	1.72565	+	2.98891i	0.0686969	+	0.118987i	−0.829631	+	0.558312i	$0.811449\pi$
$632$	72.5949	+	19.4517i	2.88767	+	0.773749i
$633$	2.67997	+	23.0089i	0.106519	+	0.914522i
$634$	−72.8832	+	42.0791i	−2.89456	+	1.67118i
$635$	−0.611832	−	33.0013i	−0.0242798	−	1.30962i
$636$	60.4168	+	47.8109i	2.39568	+	1.89583i
$637$	19.9510	+	19.9510i	0.790486	+	0.790486i
$638$	−12.7944	−	12.7944i	−0.506535	−	0.506535i
$639$	−26.5829	−	7.98171i	−1.05160	−	0.315752i
$640$	−0.103637	−	5.59002i	−0.00409660	−	0.220965i
$641$	16.4475	−	9.49598i	0.649638	−	0.375069i	−0.138679	−	0.990337i	$-0.544286\pi$
$641$	16.4475	−	9.49598i	0.649638	−	0.375069i	0.788318	+	0.615269i	$0.210952\pi$
$642$	−7.96624	−	10.7095i	−0.314403	−	0.422671i
$643$	−12.7437	+	12.7437i	−0.502564	+	0.502564i	−0.912234	−	0.409670i	$-0.865644\pi$
$643$	−12.7437	+	12.7437i	−0.502564	+	0.502564i	0.409670	+	0.912234i	$0.365644\pi$
$644$	−7.48807			−0.295071
$645$	−2.22004	−	16.4074i	−0.0874141	−	0.646042i
$646$	62.2674	−	20.5539i	2.44988	−	0.808683i
$647$	−0.296172	+	0.296172i	−0.0116437	+	0.0116437i	−0.712905	−	0.701261i	$-0.752621\pi$
$647$	−0.296172	+	0.296172i	−0.0116437	+	0.0116437i	0.701261	+	0.712905i	$0.252621\pi$
$648$	−61.4421	−	20.4695i	−2.41367	−	0.804119i
$649$	−14.9146	−	8.61094i	−0.585449	−	0.338009i
$650$	30.9860	+	49.3495i	1.21537	+	1.93565i
$651$	−9.55995	+	12.0805i	−0.374684	+	0.473474i
$652$	30.3078	−	8.12094i	1.18694	−	0.318041i
$653$	4.47840	−	16.7136i	0.175253	−	0.654054i	−0.821255	−	0.570561i	$-0.806726\pi$
$653$	4.47840	−	16.7136i	0.175253	−	0.654054i	0.996508	−	0.0834929i	$-0.0266076\pi$
$654$	−21.7575	+	27.4940i	−0.850784	+	1.07510i
$655$	9.71225	+	33.7326i	0.379489	+	1.31804i
$656$	6.67286	−	3.85258i	0.260531	−	0.150418i
$657$	−19.9732	−	37.1140i	−0.779227	−	1.44796i
$658$	−4.93173	+	4.93173i	−0.192259	+	0.192259i
$659$	−28.2753			−1.10145			−0.550725	−	0.834686i	$-0.685649\pi$
$659$	−28.2753			−1.10145			−0.550725	+	0.834686i	$0.685649\pi$
$660$	25.1991	−	33.0854i	0.980872	−	1.28785i
$661$	−6.09402	+	10.5552i	−0.237030	+	0.410548i	−0.959861	−	0.280477i	$-0.909507\pi$
$661$	−6.09402	+	10.5552i	−0.237030	+	0.410548i	0.722831	+	0.691025i	$0.242841\pi$
$662$	21.5536	−	21.5536i	0.837703	−	0.837703i
$663$	26.7847	+	36.0084i	1.04023	+	1.39845i
$664$	20.5161	+	11.8450i	0.796178	+	0.459674i
$665$	−6.19588	−	5.32371i	−0.240266	−	0.206445i
$666$	−3.85903	−	4.09693i	−0.149534	−	0.158753i
$667$	−5.59035	+	1.49793i	−0.216459	+	0.0580001i
$668$	21.2619	−	79.3503i	0.822646	−	3.07016i
$669$	−3.55152	+	24.1782i	−0.137310	+	0.934782i
$670$	33.9633	−	9.77870i	1.31212	−	0.377784i
$671$	12.8074	+	7.39437i	0.494425	+	0.285457i
$672$	11.0663	−	8.23164i	0.426892	−	0.317542i
$673$	12.7884	+	47.7268i	0.492955	+	1.83973i	0.541194	+	0.840898i	$0.317972\pi$
$673$	12.7884	+	47.7268i	0.492955	+	1.83973i	−0.0482388	+	0.998836i	$0.515361\pi$
$674$	4.14370	+	7.17709i	0.159609	+	0.276451i
$675$	20.4885	+	15.9757i	0.788602	+	0.614904i
$676$	−33.7120			−1.29662
$677$	5.25062	+	19.5956i	0.201798	+	0.753119i	0.990402	+	0.138218i	$0.0441374\pi$
$677$	5.25062	+	19.5956i	0.201798	+	0.753119i	−0.788604	+	0.614901i	$0.789196\pi$
$678$	−7.79427	−	3.36584i	−0.299337	−	0.129264i
$679$			9.48576i			0.364030i
$680$	22.4136	−	90.3131i	0.859523	−	3.46335i
$681$	−32.1981	+	12.7765i	−1.23383	+	0.489596i
$682$	−16.0967	+	60.0737i	−0.616374	+	2.30034i
$683$	11.4680	+	11.4680i	0.438811	+	0.438811i	0.891612	−	0.452801i	$-0.149575\pi$
$683$	11.4680	+	11.4680i	0.438811	+	0.438811i	−0.452801	+	0.891612i	$0.649575\pi$
$684$	1.69115	+	62.3048i	0.0646626	+	2.38228i
$685$	0.730065	−	1.32045i	0.0278944	−	0.0504517i
$686$	−25.1062	+	14.4951i	−0.958559	+	0.553424i
$687$	15.9454	+	21.4364i	0.608354	+	0.817849i
$688$	−10.1629	−	37.9285i	−0.387457	−	1.44601i
$689$	41.8130			1.59295
$690$	−7.28941	−	17.4210i	−0.277503	−	0.663206i
$691$	−11.6566	+	20.1899i	−0.443439	+	0.768060i	−0.997942	−	0.0641223i	$-0.979575\pi$
$691$	−11.6566	+	20.1899i	−0.443439	+	0.768060i	0.554503	+	0.832182i	$0.312909\pi$
$692$	20.5588	−	20.5588i	0.781530	−	0.781530i
$693$	−5.66209	−	0.169311i	−0.215085	−	0.00643160i
$694$	34.7200	−	20.0456i	1.31795	−	0.760920i
$695$	29.2090	+	7.24898i	1.10796	+	0.274970i
$696$	23.8796	−	30.1757i	0.905154	−	1.14381i
$697$	−4.68602	+	1.25561i	−0.177496	+	0.0475598i
$698$	−20.4817	−	20.4817i	−0.775245	−	0.775245i
$699$	2.56765	+	6.47074i	0.0971173	+	0.244746i
$700$	−19.0881	+	5.88110i	−0.721461	+	0.222285i
$701$	−20.5098	−	11.8413i	−0.774644	−	0.447241i	0.0598844	−	0.998205i	$-0.480927\pi$
$701$	−20.5098	−	11.8413i	−0.774644	−	0.447241i	−0.834529	+	0.550964i	$0.814260\pi$
$702$	−56.9299	+	20.6430i	−2.14868	+	0.779119i
$703$	−1.41414	+	2.80776i	−0.0533355	+	0.105896i
$704$	7.14610	−	12.3774i	0.269329	−	0.466491i
$705$	−11.4641	−	4.70044i	−0.431763	−	0.177029i
$706$	26.3205			0.990586
$707$	0.354020	+	1.32122i	0.0133143	+	0.0496896i
$708$	25.0187	−	57.9356i	0.940259	−	2.17735i
$709$			0.808256i			0.0303547i	0.999885	+	0.0151774i	$0.00483129\pi$
$709$			0.808256i			0.0303547i	−0.999885	+	0.0151774i	$0.995169\pi$
$710$	47.0941	+	26.0380i	1.76741	+	0.977187i
$711$	22.8082	−	21.4838i	0.855376	−	0.805706i
$712$	27.7682	−	103.632i	1.04066	−	3.88378i
$713$	14.0665	+	14.0665i	0.526795	+	0.526795i
$714$	−20.2979	+	8.05440i	−0.759631	+	0.301428i
$715$	−0.418374	−	22.5665i	−0.0156463	−	0.843940i
$716$	−41.9042	−	24.1934i	−1.56603	−	0.904150i
$717$	3.94062	−	2.93122i	0.147165	−	0.109468i
$718$	13.2526	−	13.2526i	0.494583	−	0.494583i
$719$	2.47660	−	4.28960i	0.0923617	−	0.159975i	−0.816143	−	0.577850i	$-0.803892\pi$
$719$	2.47660	−	4.28960i	0.0923617	−	0.159975i	0.908504	+	0.417875i	$0.137225\pi$
$720$	53.0077	+	31.4120i	1.97548	+	1.17065i
$721$	11.7484			0.437533
$722$	45.9730	−	18.1418i	1.71094	−	0.675170i
$723$	−0.657934	−	5.64870i	−0.0244688	−	0.210077i
$724$			42.0125i			1.56138i
$725$	−13.0741	+	8.20906i	−0.485559	+	0.304877i
$726$	24.8097	−	9.84469i	0.920773	−	0.365371i
$727$	−0.616435	+	2.30057i	−0.0228623	+	0.0853233i	−0.976414	−	0.215905i	$-0.930730\pi$
$727$	−0.616435	+	2.30057i	−0.0228623	+	0.0853233i	0.953552	+	0.301228i	$0.0973966\pi$
$728$	6.99330	−	26.0994i	0.259189	−	0.967306i
$729$	−20.7250	+	17.3053i	−0.767594	+	0.640936i
$730$	22.6092	+	78.5261i	0.836802	+	2.90638i
$731$			24.7230i			0.914412i
$732$	−21.4840	+	49.7504i	−0.794070	+	1.83883i
$733$	−25.9010	−	6.94015i	−0.956676	−	0.256340i	−0.253483	−	0.967340i	$-0.581576\pi$
$733$	−25.9010	−	6.94015i	−0.956676	−	0.256340i	−0.703193	+	0.710999i	$0.748243\pi$
$734$	−26.2388	−	45.4470i	−0.968493	−	1.67748i
$735$	−19.4034	−	14.7783i	−0.715704	−	0.545108i
$736$	−8.90481	−	15.4236i	−0.328235	−	0.568521i
$737$	−13.2231	−	3.54313i	−0.487081	−	0.130513i
$738$	0.195662	−	6.54331i	0.00720242	−	0.240863i
$739$	−21.7875	−	12.5790i	−0.801466	−	0.462727i	0.0425176	−	0.999096i	$-0.486462\pi$
$739$	−21.7875	−	12.5790i	−0.801466	−	0.462727i	−0.843983	+	0.536369i	$0.819795\pi$
$740$	3.96611	+	6.58453i	0.145797	+	0.242052i
$741$	21.7024	+	25.9454i	0.797257	+	0.953130i
$742$	−5.26599	+	19.6529i	−0.193320	+	0.721482i
$743$	−17.1754	−	17.1754i	−0.630105	−	0.630105i	0.317990	−	0.948094i	$-0.396992\pi$
$743$	−17.1754	−	17.1754i	−0.630105	−	0.630105i	−0.948094	+	0.317990i	$0.896992\pi$
$744$	−130.864	−	19.2225i	−4.79770	−	0.704732i
$745$	−52.2773	+	15.0516i	−1.91529	+	0.551449i
$746$	−68.7296	−	39.6811i	−2.51637	−	1.45283i
$747$	8.69714	−	4.68043i	0.318212	−	0.171248i
$748$	−43.9119	+	43.9119i	−1.60558	+	1.60558i
$749$	1.24146	−	2.15028i	0.0453620	−	0.0785693i
$750$	−32.2640	−	38.6833i	−1.17812	−	1.41252i
$751$	−17.2363	+	29.8542i	−0.628963	+	1.08940i	0.358797	+	0.933415i	$0.383187\pi$
$751$	−17.2363	+	29.8542i	−0.628963	+	1.08940i	−0.987760	+	0.155980i	$0.950146\pi$
$752$	−28.3836	−	7.60536i	−1.03504	−	0.277339i
$753$	−8.49977	−	11.4268i	−0.309749	−	0.416414i
$754$		−	35.9826i		−	1.31041i
$755$	−8.92172	+	35.9491i	−0.324695	+	1.30832i
$756$	−1.78413	−	20.6803i	−0.0648883	−	0.752135i
$757$	43.3175	−	11.6069i	1.57440	−	0.421859i	0.637213	−	0.770688i	$-0.280087\pi$
$757$	43.3175	−	11.6069i	1.57440	−	0.421859i	0.937187	+	0.348828i	$0.113420\pi$
$758$	3.71850	−	13.8776i	0.135062	−	0.504058i
$759$	−1.06304	+	7.23700i	−0.0385859	+	0.262686i
$760$	12.9862	−	68.9232i	0.471058	−	2.50011i
$761$	1.73582	−	1.00218i	0.0629234	−	0.0363288i	−0.468208	−	0.883618i	$-0.655100\pi$
$761$	1.73582	−	1.00218i	0.0629234	−	0.0363288i	0.531132	+	0.847289i	$0.321767\pi$
$762$	−61.0559	−	26.3661i	−2.21182	−	0.955142i
$763$	−6.29998	−	1.68807i	−0.228075	−	0.0611124i
$764$	3.68363	+	6.38023i	0.133269	+	0.230828i
$765$	−27.1187	−	27.7417i	−0.980478	−	1.00300i
$766$	−35.9176	−	62.2110i	−1.29775	−	2.24778i
$767$	−8.86410	−	33.0813i	−0.320064	−	1.19450i
$768$	−30.5170	−	13.1783i	−1.10119	−	0.475531i
$769$	−13.6582	−	7.88557i	−0.492528	−	0.284361i	0.233095	−	0.972454i	$-0.425115\pi$
$769$	−13.6582	−	7.88557i	−0.492528	−	0.284361i	−0.725623	+	0.688093i	$0.758448\pi$
$770$	10.6594	+	2.64541i	0.384138	+	0.0953340i
$771$	20.1313	−	7.98829i	0.725012	−	0.287691i
$772$	12.1008	−	3.24241i	0.435519	−	0.116697i
$773$	−9.15324	+	34.1603i	−0.329219	+	1.22866i	0.580783	+	0.814058i	$0.302747\pi$
$773$	−9.15324	+	34.1603i	−0.329219	+	1.22866i	−0.910002	+	0.414604i	$0.863920\pi$
$774$	−31.9513	−	9.59361i	−1.14846	−	0.344835i
$775$	46.9051	+	24.8096i	1.68488	+	0.891187i
$776$	−70.5310	+	40.7211i	−2.53191	+	1.46180i
$777$	0.415072	−	0.961182i	0.0148906	−	0.0344822i
$778$	75.4115	+	20.2064i	2.70363	+	0.724436i
$779$	−3.47227	+	1.14616i	−0.124407	+	0.0410656i
$780$	81.9587	−	11.0896i	2.93459	−	0.397071i
$781$	−10.4218	−	18.0511i	−0.372922	−	0.645919i
$782$	7.29833	+	27.2377i	0.260988	+	0.974019i
$783$	−5.46891	−	15.0823i	−0.195443	−	0.538999i
$784$	−50.0946	−	28.9221i	−1.78909	−	1.03293i
$785$	−8.28166	−	4.57887i	−0.295585	−	0.163427i
$786$	69.9777	+	10.2790i	2.49602	+	0.366639i
$787$	3.83193	−	14.3010i	0.136594	−	0.509774i	−0.863393	−	0.504533i	$-0.831665\pi$
$787$	3.83193	−	14.3010i	0.136594	−	0.509774i	0.999986	−	0.00524163i	$-0.00166847\pi$
$788$	−115.004	+	30.8153i	−4.09686	+	1.09775i
$789$	49.3200	+	7.24459i	1.75584	+	0.257914i
$790$	−52.0388	+	31.3449i	−1.85146	+	1.11520i
$791$		−	1.57932i		−	0.0561542i
$792$	−23.0477	−	42.8271i	−0.818964	−	1.52179i
$793$	7.61176	+	28.4075i	0.270302	+	1.00878i
$794$	49.7206			1.76452
$795$	−35.8188	+	4.84655i	−1.27036	+	0.171889i
$796$	35.4020			1.25479
$797$	9.23555	+	2.47466i	0.327140	+	0.0876569i	0.418651	−	0.908147i	$-0.362503\pi$
$797$	9.23555	+	2.47466i	0.327140	+	0.0876569i	−0.0915111	+	0.995804i	$0.529170\pi$
$798$	−14.9281	+	6.93293i	−0.528449	+	0.245423i
$799$	16.0226	+	9.25066i	0.566839	+	0.327265i
$800$	−34.8131	−	32.3229i	−1.23083	−	1.14279i
$801$	−30.6690	−	32.5598i	−1.08364	−	1.15044i
$802$	6.98784	−	26.0790i	0.246749	−	0.920881i
$803$	8.19201	−	30.5730i	0.289090	−	1.07890i
$804$	7.29024	−	49.6308i	0.257107	−	1.75034i
$805$	2.43756	−	2.52965i	0.0859126	−	0.0891583i
$806$	−107.110	+	61.8398i	−3.77278	+	2.17821i
$807$	−20.5693	−	8.88255i	−0.724073	−	0.312680i
$808$	−8.30411	+	8.30411i	−0.292138	+	0.292138i
$809$	−5.93578			−0.208691			−0.104345	−	0.994541i	$-0.533275\pi$
$809$	−5.93578			−0.208691			−0.104345	+	0.994541i	$0.533275\pi$
$810$	46.3759	−	24.2824i	1.62948	−	0.853197i
$811$	15.4063	+	26.6845i	0.540989	+	0.937021i	0.998848	+	0.0479955i	$0.0152833\pi$
$811$	15.4063	+	26.6845i	0.540989	+	0.937021i	−0.457858	+	0.889025i	$0.651383\pi$
$812$	11.9135	+	3.19221i	0.418082	+	0.112025i
$813$	−9.32463	−	4.02670i	−0.327029	−	0.141223i
$814$		−	4.22667i		−	0.148145i
$815$	−7.12250	+	12.8823i	−0.249490	+	0.451246i
$816$	−72.1475	−	57.0941i	−2.52567	−	1.99869i
$817$	1.06214	+	18.6039i	0.0371595	+	0.650869i
$818$	−43.3250	−	43.3250i	−1.51482	−	1.51482i
$819$	−7.72387	−	8.20003i	−0.269894	−	0.286532i
$820$	−2.15350	+	8.67728i	−0.0752034	+	0.303024i
$821$			35.5699i			1.24140i	0.784049	+	0.620699i	$0.213151\pi$
$821$			35.5699i			1.24140i	−0.784049	+	0.620699i	$0.786849\pi$
$822$	−1.81446	−	2.43929i	−0.0632866	−	0.0850801i
$823$	−8.34358	−	31.1387i	−0.290839	−	1.08543i	−0.944466	−	0.328609i	$-0.893420\pi$
$823$	−8.34358	−	31.1387i	−0.290839	−	1.08543i	0.653627	−	0.756817i	$-0.273247\pi$
$824$	50.4342	+	87.3546i	1.75696	+	3.04314i
$825$	2.97408	+	19.2830i	0.103544	+	0.671347i
$826$	16.6652			0.579856
$827$	−8.25613	−	2.21222i	−0.287094	−	0.0769265i	0.112398	−	0.993663i	$-0.464147\pi$
$827$	−8.25613	−	2.21222i	−0.287094	−	0.0769265i	−0.399492	+	0.916737i	$0.630813\pi$
$828$	−26.7914	−	0.801132i	−0.931065	−	0.0278413i
$829$			8.83523i			0.306860i	0.988160	+	0.153430i	$0.0490320\pi$
$829$			8.83523i			0.306860i	−0.988160	+	0.153430i	$0.950968\pi$
$830$	−18.4015	+	5.29814i	−0.638725	+	0.183901i
$831$	0.819750	+	2.06586i	0.0284368	+	0.0716638i
$832$	27.4537	−	7.35619i	0.951785	−	0.255030i
$833$	25.7528	+	25.7528i	0.892280	+	0.892280i
$834$	37.6291	−	47.5505i	1.30299	−	1.64654i
$835$	19.8852	+	33.0133i	0.688154	+	1.14247i
$836$	−31.1570	+	34.9301i	−1.07759	+	1.20808i
$837$	−35.4968	+	42.1999i	−1.22695	+	1.45864i
$838$	11.1937	+	41.7755i	0.386680	+	1.44311i
$839$	−11.7120	−	20.2858i	−0.404343	−	0.700343i	0.589902	−	0.807475i	$-0.299167\pi$
$839$	−11.7120	−	20.2858i	−0.404343	−	0.700343i	−0.994245	+	0.107132i	$0.965833\pi$
$840$	−2.96559	+	23.1684i	−0.102323	+	0.799387i
$841$	−19.4672			−0.671282
$842$	2.78314	+	10.3868i	0.0959134	+	0.357954i
$843$	39.6755	−	4.62122i	1.36650	−	0.159163i
$844$	−55.2046	−	31.8724i	−1.90022	−	1.09709i
$845$	10.9741	−	11.3887i	0.377521	−	0.391784i
$846$	−18.1728	+	17.1175i	−0.624793	+	0.588512i
$847$	3.51094	+	3.51094i	0.120637	+	0.120637i
$848$	−82.8011	+	22.1865i	−2.84340	+	0.761887i
$849$	31.8362	+	25.1936i	1.09262	+	0.864643i
$850$	39.9968	+	63.7005i	1.37188	+	2.18491i
$851$	−1.17082	−	0.675973i	−0.0401352	−	0.0231720i
$852$	61.2830	−	45.5852i	2.09952	−	1.56172i
$853$	41.8076	+	11.2023i	1.43147	+	0.383560i	0.889537	−	0.456863i	$-0.151027\pi$
$853$	41.8076	+	11.2023i	1.43147	+	0.383560i	0.541930	+	0.840424i	$0.317694\pi$
$854$	−14.3107			−0.489702
$855$	−21.5985	−	19.7105i	−0.738655	−	0.674084i
$856$	21.3177			0.728624
$857$	−19.9494	−	5.34542i	−0.681457	−	0.182596i	−0.0985470	−	0.995132i	$-0.531419\pi$
$857$	−19.9494	−	5.34542i	−0.681457	−	0.182596i	−0.582910	+	0.812536i	$0.698086\pi$
$858$	−41.7504	−	18.0293i	−1.42533	−	0.615510i
$859$	−44.0313	−	25.4215i	−1.50233	−	0.867369i	−0.999996	−	0.00269390i	$-0.999143\pi$
$859$	−44.0313	−	25.4215i	−1.50233	−	0.867369i	−0.502331	−	0.864675i	$-0.667524\pi$
$860$	39.8733	+	22.0457i	1.35967	+	0.751751i
$861$	1.13189	−	0.449144i	0.0385747	−	0.0153068i
$862$	55.0815	−	14.7590i	1.87608	−	0.502695i
$863$	−12.2506	−	12.2506i	−0.417014	−	0.417014i	0.467159	−	0.884173i	$-0.345277\pi$
$863$	−12.2506	−	12.2506i	−0.417014	−	0.417014i	−0.884173	+	0.467159i	$0.845277\pi$
$864$	40.4746	−	28.2679i	1.37697	−	0.961692i
$865$	0.252838	+	13.6377i	0.00859673	+	0.463695i
$866$	−39.8091	−	22.9838i	−1.35277	−	0.781020i
$867$	17.0001	+	22.8542i	0.577352	+	0.776170i
$868$	−10.9723	−	40.9491i	−0.372424	−	1.38990i
$869$	23.5305			0.798219
$870$	4.17074	+	30.8243i	0.141401	+	1.04504i
$871$	−13.6119	−	23.5765i	−0.461221	−	0.798859i
$872$	−14.4933	−	54.0899i	−0.490807	−	1.83172i
$873$	−1.01486	+	33.9389i	−0.0343478	+	1.14866i
$874$	6.66214	+	20.1827i	0.225350	+	0.682691i
$875$	4.22688	−	8.36285i	0.142895	−	0.282716i
$876$	114.751	+	16.8556i	3.87706	+	0.569500i
$877$	−27.3869	−	27.3869i	−0.924789	−	0.924789i	0.0725737	−	0.997363i	$-0.476879\pi$
$877$	−27.3869	−	27.3869i	−0.924789	−	0.924789i	−0.997363	+	0.0725737i	$0.976879\pi$
$878$	−29.2720	+	7.84341i	−0.987883	+	0.264702i
$879$	50.2598	+	7.38264i	1.69522	+	0.249010i
$880$	12.8026	+	44.4658i	0.431574	+	1.49894i
$881$		−	20.4341i		−	0.688442i	−0.938889	−	0.344221i	$-0.888143\pi$
$881$		−	20.4341i		−	0.688442i	0.938889	−	0.344221i	$-0.111857\pi$
$882$	−43.2754	+	23.2889i	−1.45716	+	0.784179i
$883$	42.4043	+	11.3622i	1.42702	+	0.382369i	0.887968	−	0.459904i	$-0.152116\pi$
$883$	42.4043	+	11.3622i	1.42702	+	0.382369i	0.539051	+	0.842273i	$0.318783\pi$
$884$	−123.497			−4.15364
$885$	11.4278	+	27.3114i	0.384142	+	0.918063i
$886$	30.6095	+	53.0173i	1.02835	+	1.78115i
$887$	−11.3454	−	42.3416i	−0.380941	−	1.42169i	−0.844467	−	0.535607i	$-0.820083\pi$
$887$	−11.3454	−	42.3416i	−0.380941	−	1.42169i	0.463526	−	0.886083i	$-0.346584\pi$
$888$	8.92868	−	1.03997i	0.299627	−	0.0348991i
$889$		−	12.3715i		−	0.414927i
$890$	44.7462	+	74.2876i	1.49990	+	2.49013i
$891$	−20.2402	−	1.21155i	−0.678071	−	0.0405885i
$892$	−47.5518	−	47.5518i	−1.59215	−	1.59215i
$893$	12.4544	+	6.27273i	0.416770	+	0.209909i
$894$	−15.9299	+	108.448i	−0.532777	+	3.62706i
$895$	21.8140	−	6.28067i	0.729161	−	0.209939i
$896$		−	2.09558i		−	0.0700084i
$897$	−11.6714	+	8.68173i	−0.389696	+	0.289874i
$898$	31.6335	+	8.47617i	1.05562	+	0.282854i
$899$	−16.3831	−	28.3764i	−0.546408	−	0.946406i
$900$	−68.9240	+	18.9997i	−2.29747	+	0.633322i
$901$	53.9724			1.79808
$902$	3.47619	−	3.47619i	0.115745	−	0.115745i
$903$	−0.717967	−	6.16411i	−0.0238925	−	0.205129i
$904$	11.7430	−	6.77981i	0.390566	−	0.225493i
$905$	−14.1928	−	13.6761i	−0.471785	−	0.454610i
$906$	58.5229	+	46.3122i	1.94429	+	1.53862i
$907$	−11.9615	+	44.6408i	−0.397174	+	1.48227i	0.420871	+	0.907121i	$0.361725\pi$
$907$	−11.9615	+	44.6408i	−0.397174	+	1.48227i	−0.818045	+	0.575154i	$0.804942\pi$
$908$	24.6719	−	92.0766i	0.818764	−	3.05567i
$909$	1.12528	+	4.76504i	0.0373233	+	0.158046i
$910$	11.2691	+	18.7090i	0.373568	+	0.620198i
$911$	13.5542	+	7.82551i	0.449070	+	0.259271i	0.707437	−	0.706776i	$-0.249851\pi$
$911$	13.5542	+	7.82551i	0.449070	+	0.259271i	−0.258367	+	0.966047i	$0.583185\pi$
$912$	−56.7436	−	39.8635i	−1.87897	−	1.32001i
$913$	7.16435	+	1.91968i	0.237106	+	0.0635322i
$914$	27.0311			0.894109
$915$	−9.81328	−	23.4528i	−0.324417	−	0.775326i
$916$	−73.5195			−2.42915
$917$	3.40530	+	12.7088i	0.112453	+	0.419680i
$918$	−73.4853	+	26.6460i	−2.42538	+	0.879450i
$919$			7.71782i			0.254587i	0.991865	+	0.127294i	$0.0406291\pi$
$919$			7.71782i			0.254587i	−0.991865	+	0.127294i	$0.959371\pi$
$920$	29.2732	+	7.26492i	0.965108	+	0.239517i
$921$	−4.58712	−	11.5600i	−0.151151	−	0.380916i
$922$	−29.5162	+	7.90883i	−0.972063	+	0.260463i
$923$	10.7282	−	40.0382i	0.353123	−	1.31787i
$924$	9.67322	−	12.2237i	0.318226	−	0.402129i
$925$	−3.51548	−	0.803587i	−0.115588	−	0.0264218i
$926$	90.9295	+	52.4981i	2.98813	+	1.72520i
$927$	42.0343	+	1.25693i	1.38059	+	0.0412831i
$928$	7.59235	+	28.3350i	0.249231	+	0.930143i
$929$	−20.9400	−	36.2691i	−0.687018	−	1.18995i	−0.972798	−	0.231655i	$-0.925586\pi$
$929$	−20.9400	−	36.2691i	−0.687018	−	1.18995i	0.285780	−	0.958295i	$-0.407747\pi$
$930$	84.5870	−	65.3898i	2.77372	−	2.14421i
$931$	20.4852	+	18.2725i	0.671376	+	0.598856i
$932$	−18.5043	−	4.95821i	−0.606129	−	0.162412i
$933$	−35.4453	−	47.6513i	−1.16043	−	1.56003i
$934$	−90.2451	+	52.1030i	−2.95291	+	1.70486i
$935$	−0.540039	−	29.1289i	−0.0176612	−	0.952618i
$936$	27.8135	−	92.6321i	0.909112	−	3.02778i
$937$	−14.9741	+	55.8840i	−0.489182	+	1.82565i	0.0712601	+	0.997458i	$0.477298\pi$
$937$	−14.9741	+	55.8840i	−0.489182	+	1.82565i	−0.560442	+	0.828194i	$0.689369\pi$
$938$	12.7957	−	3.42860i	0.417795	−	0.111948i
$939$	−5.48307	−	4.33904i	−0.178933	−	0.141599i
$940$	29.2070	−	17.5925i	0.952628	−	0.573803i
$941$	14.4369	+	8.33514i	0.470629	+	0.271718i	0.716503	−	0.697584i	$-0.245742\pi$
$941$	14.4369	+	8.33514i	0.470629	+	0.271718i	−0.245874	+	0.969302i	$0.579075\pi$
$942$	−15.2989	+	11.3800i	−0.498465	+	0.370782i
$943$	−0.406982	−	1.51888i	−0.0132532	−	0.0494615i
$944$	35.1067	+	60.8065i	1.14262	+	1.97908i
$945$	7.56707	+	6.12924i	0.246157	+	0.199384i
$946$	−12.5265	−	21.6965i	−0.407271	−	0.705414i
$947$	−23.8378	−	6.38733i	−0.774625	−	0.207560i	−0.150211	−	0.988654i	$-0.547995\pi$
$947$	−23.8378	−	6.38733i	−0.774625	−	0.207560i	−0.624414	+	0.781094i	$0.714662\pi$
$948$	9.97551	+	85.6449i	0.323990	+	2.78162i
$949$	54.5108	−	31.4718i	1.76950	−	1.02162i
$950$	32.8341	+	46.2160i	1.06528	+	1.49945i
$951$	−43.9430	−	34.7743i	−1.42495	−	1.12763i
$952$	9.02698	−	33.6891i	0.292566	−	1.09187i
$953$	−44.4209	+	11.9025i	−1.43893	+	0.385561i	−0.892160	−	0.451720i	$-0.850811\pi$
$953$	−44.4209	+	11.9025i	−1.43893	+	0.385561i	−0.546773	+	0.837281i	$0.684144\pi$
$954$	−20.9437	+	69.7524i	−0.678077	+	2.25832i
$955$	−3.35451	−	0.832510i	−0.108549	−	0.0269394i
$956$			13.5150i			0.437107i
$957$	4.77647	−	11.0609i	0.154401	−	0.357547i
$958$	24.4705	+	6.55684i	0.790605	+	0.211842i
$959$	0.282766	−	0.489766i	0.00913100	−	0.0158154i
$960$	−22.6654	+	9.48379i	−0.731521	+	0.306088i
$961$	−40.8121	+	70.6887i	−1.31652	+	2.28028i
$962$	5.94348	−	5.94348i	0.191626	−	0.191626i
$963$	4.67185	−	7.56060i	0.150548	−	0.243637i
$964$	13.5528	+	7.82469i	0.436505	+	0.252016i
$965$	−2.84377	+	5.14344i	−0.0915442	+	0.165573i
$966$	−2.61067	−	6.57917i	−0.0839970	−	0.211681i
$967$	22.9730	+	22.9730i	0.738762	+	0.738762i	0.972338	−	0.233576i	$-0.0750429\pi$
$967$	22.9730	+	22.9730i	0.738762	+	0.738762i	−0.233576	+	0.972338i	$0.575043\pi$
$968$	−11.0335	+	41.1774i	−0.354629	+	1.32349i
$969$	28.0135	+	33.4905i	0.899923	+	1.07587i
$970$	15.8567	−	63.8930i	0.509129	−	2.05148i
$971$	0.747091	+	0.431333i	0.0239753	+	0.0138421i	0.511940	−	0.859021i	$-0.328927\pi$
$971$	0.747091	+	0.431333i	0.0239753	+	0.0138421i	−0.487964	+	0.872863i	$0.662260\pi$
$972$	−4.17088	−	74.1824i	−0.133781	−	2.37940i
$973$	10.8957	+	2.91949i	0.349300	+	0.0935947i
$974$	28.6369	+	49.6006i	0.917586	+	1.58931i
$975$	−22.9333	+	31.2975i	−0.734454	+	1.00232i
$976$	−30.1467	−	52.2157i	−0.964973	−	1.67138i
$977$	4.57796	+	1.22666i	0.146462	+	0.0392443i	0.331305	−	0.943524i	$-0.392511\pi$
$977$	4.57796	+	1.22666i	0.146462	+	0.0392443i	−0.184843	+	0.982768i	$0.559178\pi$
$978$	17.7018	+	23.7977i	0.566043	+	0.760966i
$979$		−	33.5908i		−	1.07357i
$980$	64.4982	−	18.5703i	2.06032	−	0.593205i
$981$	−22.3600	−	6.71375i	−0.713898	−	0.214353i
$982$	−11.1330	+	41.5491i	−0.355270	+	1.32588i
$983$	−4.68350	+	17.4791i	−0.149381	+	0.557496i	0.850141	+	0.526556i	$0.176517\pi$
$983$	−4.68350	+	17.4791i	−0.149381	+	0.557496i	−0.999521	+	0.0309402i	$0.990150\pi$
$984$	8.19863	+	6.48800i	0.261363	+	0.206830i
$985$	27.0267	−	48.8823i	0.861142	−	1.55752i
$986$		−	46.4465i		−	1.47916i
$987$	−4.26352	−	1.84114i	−0.135709	−	0.0586041i
$988$	−92.9307	+	5.30561i	−2.95652	+	0.168794i
$989$	−8.01345			−0.254813
$990$	37.8550	+	10.6054i	1.20311	+	0.337061i
$991$	−6.91287	+	11.9734i	−0.219594	+	0.380349i	−0.954684	−	0.297621i	$-0.903807\pi$
$991$	−6.91287	+	11.9734i	−0.219594	+	0.380349i	0.735090	+	0.677970i	$0.237140\pi$
$992$	71.2969	−	71.2969i	2.26368	−	2.26368i
$993$	18.6332	+	8.04648i	0.591307	+	0.255347i
$994$	17.4676	+	10.0849i	0.554039	+	0.319875i
$995$	−11.5243	+	11.9596i	−0.365344	+	0.379146i
$996$	−3.94988	+	26.8902i	−0.125157	+	0.852047i
$997$	−1.43667	−	1.43667i	−0.0454997	−	0.0454997i	0.683991	−	0.729491i	$-0.260243\pi$
$997$	−1.43667	−	1.43667i	−0.0454997	−	0.0454997i	−0.729491	+	0.683991i	$0.760243\pi$
$998$	14.5566	−	54.3259i	0.460781	−	1.71966i
$999$	1.58791	−	3.39459i	0.0502394	−	0.107400i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	855.2.ci.a.182.6	yes	464
5.3	odd	4	inner	855.2.ci.a.353.6	yes	464
9.5	odd	6		855.2.bx.a.752.6	yes	464
19.7	even	3		855.2.bx.a.767.111	yes	464
45.23	even	12		855.2.bx.a.68.111	✓	464
95.83	odd	12		855.2.bx.a.83.6	yes	464
171.140	odd	6	inner	855.2.ci.a.482.6	yes	464
855.653	even	12	inner	855.2.ci.a.653.6	yes	464

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
855.2.bx.a.68.111	✓	464	45.23	even	12
855.2.bx.a.83.6	yes	464	95.83	odd	12
855.2.bx.a.752.6	yes	464	9.5	odd	6
855.2.bx.a.767.111	yes	464	19.7	even	3
855.2.ci.a.182.6	yes	464	1.1	even	1	trivial
855.2.ci.a.353.6	yes	464	5.3	odd	4	inner
855.2.ci.a.482.6	yes	464	171.140	odd	6	inner
855.2.ci.a.653.6	yes	464	855.653	even	12	inner

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:	\( N \)	\(=\)	\( 855 = 3^{2} \cdot 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	855.ci (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-2.51258 - 0.673244i) q^{2} +(-0.200386 - 1.72042i) q^{3} +(4.12775 + 2.38316i) q^{4} +(-2.14878 + 0.618674i) q^{5} +(-0.654775 + 4.45760i) q^{6} +(-0.809553 + 0.216919i) q^{7} +(-5.08819 - 5.08819i) q^{8} +(-2.91969 + 0.689498i) q^{9} +O(q^{10})\)	\(q+(-2.51258 - 0.673244i) q^{2} +(-0.200386 - 1.72042i) q^{3} +(4.12775 + 2.38316i) q^{4} +(-2.14878 + 0.618674i) q^{5} +(-0.654775 + 4.45760i) q^{6} +(-0.809553 + 0.216919i) q^{7} +(-5.08819 - 5.08819i) q^{8} +(-2.91969 + 0.689498i) q^{9} +(5.81549 - 0.107817i) q^{10} +(-1.95110 - 1.12647i) q^{11} +(3.27289 - 7.57902i) q^{12} +(-1.15958 - 4.32762i) q^{13} +2.18011 q^{14} +(1.49496 + 3.57283i) q^{15} +(4.59258 + 7.95459i) q^{16} +(-1.49679 - 5.58611i) q^{17} +(7.80016 + 0.233245i) q^{18} +(-1.36632 - 4.13922i) q^{19} +(-10.3440 - 2.56715i) q^{20} +(0.535416 + 1.34930i) q^{21} +(4.14390 + 4.14390i) q^{22} +(1.81063 - 0.485156i) q^{23} +(-7.73423 + 9.77344i) q^{24} +(4.23449 - 2.65878i) q^{25} +11.6542i q^{26} +(1.77129 + 4.88493i) q^{27} +(-3.85859 - 1.03391i) q^{28} -3.08752 q^{29} +(-1.35084 - 9.98349i) q^{30} +(5.30623 + 9.19066i) q^{31} +(-2.45904 - 9.17726i) q^{32} +(-1.54702 + 3.58243i) q^{33} +15.0433i q^{34} +(1.60535 - 0.966960i) q^{35} +(-13.6949 - 4.11201i) q^{36} +(-0.509987 - 0.509987i) q^{37} +(0.646282 + 11.3200i) q^{38} +(-7.21297 + 2.86217i) q^{39} +(14.0813 + 7.78546i) q^{40} -0.838869i q^{41} +(-0.436864 - 3.75070i) q^{42} +(-4.12932 - 1.10645i) q^{43} +(-5.36910 - 9.29955i) q^{44} +(5.84719 - 3.28791i) q^{45} -4.87597 q^{46} +(-2.26215 + 2.26215i) q^{47} +(12.7649 - 9.49516i) q^{48} +(-5.45386 + 3.14878i) q^{49} +(-12.4295 + 3.82957i) q^{50} +(-9.31052 + 3.69450i) q^{51} +(5.52695 - 20.6268i) q^{52} +(-2.41547 + 9.01466i) q^{53} +(-1.16177 - 13.4663i) q^{54} +(4.88939 + 1.21343i) q^{55} +(5.22289 + 3.01544i) q^{56} +(-6.84741 + 3.18009i) q^{57} +(7.75766 + 2.07866i) q^{58} +7.64421 q^{59} +(-2.34377 + 18.3105i) q^{60} -6.56422 q^{61} +(-7.14477 - 26.6647i) q^{62} +(2.21408 - 1.19152i) q^{63} +6.34382i q^{64} +(5.16907 + 8.58170i) q^{65} +(6.29887 - 7.95963i) q^{66} +(5.86930 - 1.57268i) q^{67} +(7.13420 - 26.6252i) q^{68} +(-1.19750 - 3.01782i) q^{69} +(-4.68456 + 1.34878i) q^{70} +(8.01227 + 4.62589i) q^{71} +(18.3642 + 11.3477i) q^{72} +(3.63616 + 13.5703i) q^{73} +(0.938038 + 1.62473i) q^{74} +(-5.42276 - 6.75231i) q^{75} +(4.22460 - 20.3419i) q^{76} +(1.82387 + 0.488704i) q^{77} +(20.0501 - 2.33534i) q^{78} +(-9.04512 + 5.22220i) q^{79} +(-14.7897 - 14.2513i) q^{80} +(8.04919 - 4.02624i) q^{81} +(-0.564764 + 2.10773i) q^{82} +(-3.18001 + 0.852082i) q^{83} +(-1.00554 + 6.84558i) q^{84} +(6.67226 + 11.0773i) q^{85} +(9.63034 + 5.56008i) q^{86} +(0.618698 + 5.31184i) q^{87} +(4.19588 + 15.6592i) q^{88} +(7.45492 + 12.9123i) q^{89} +(-16.9051 + 4.32456i) q^{90} +(1.87749 + 3.25191i) q^{91} +(8.63002 + 2.31241i) q^{92} +(14.7485 - 10.9706i) q^{93} +(7.20682 - 4.16086i) q^{94} +(5.49675 + 8.04896i) q^{95} +(-15.2960 + 6.06958i) q^{96} +(2.92932 - 10.9324i) q^{97} +(15.8232 - 4.23980i) q^{98} +(6.47330 + 1.94366i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 464 q - 6 q^{2} - 2 q^{3} - 4 q^{6} - 4 q^{7}+O(q^{10}) \) 464 * q - 6 * q^2 - 2 * q^3 - 4 * q^6 - 4 * q^7	\( 464 q - 6 q^{2} - 2 q^{3} - 4 q^{6} - 4 q^{7} - 4 q^{10} - 24 q^{11} + 2 q^{12} + 2 q^{13} + 10 q^{15} + 212 q^{16} + 18 q^{17} - 24 q^{18} - 12 q^{20} - 4 q^{21} - 20 q^{22} + 18 q^{23} - 4 q^{25} - 2 q^{27} - 20 q^{28} + 2 q^{30} - 8 q^{31} - 30 q^{32} + 10 q^{33} - 68 q^{36} - 16 q^{37} + 30 q^{38} - 36 q^{40} - 14 q^{42} + 2 q^{43} + 6 q^{45} - 56 q^{46} + 42 q^{48} - 108 q^{50} + 12 q^{51} - 34 q^{52} - 14 q^{55} - 24 q^{56} - 78 q^{57} - 12 q^{58} - 42 q^{60} - 8 q^{61} - 12 q^{62} + 92 q^{63} - 84 q^{65} - 52 q^{66} + 2 q^{67} - 60 q^{68} - 84 q^{70} - 118 q^{72} - 4 q^{73} + 98 q^{75} - 60 q^{76} - 12 q^{77} + 92 q^{78} + 120 q^{80} - 12 q^{81} + 4 q^{82} - 12 q^{83} + 2 q^{85} - 264 q^{86} + 102 q^{87} + 48 q^{88} - 34 q^{90} - 8 q^{91} + 54 q^{92} - 52 q^{93} - 36 q^{95} + 96 q^{96} + 2 q^{97} + 42 q^{98}+O(q^{100}) \) 464 * q - 6 * q^2 - 2 * q^3 - 4 * q^6 - 4 * q^7 - 4 * q^10 - 24 * q^11 + 2 * q^12 + 2 * q^13 + 10 * q^15 + 212 * q^16 + 18 * q^17 - 24 * q^18 - 12 * q^20 - 4 * q^21 - 20 * q^22 + 18 * q^23 - 4 * q^25 - 2 * q^27 - 20 * q^28 + 2 * q^30 - 8 * q^31 - 30 * q^32 + 10 * q^33 - 68 * q^36 - 16 * q^37 + 30 * q^38 - 36 * q^40 - 14 * q^42 + 2 * q^43 + 6 * q^45 - 56 * q^46 + 42 * q^48 - 108 * q^50 + 12 * q^51 - 34 * q^52 - 14 * q^55 - 24 * q^56 - 78 * q^57 - 12 * q^58 - 42 * q^60 - 8 * q^61 - 12 * q^62 + 92 * q^63 - 84 * q^65 - 52 * q^66 + 2 * q^67 - 60 * q^68 - 84 * q^70 - 118 * q^72 - 4 * q^73 + 98 * q^75 - 60 * q^76 - 12 * q^77 + 92 * q^78 + 120 * q^80 - 12 * q^81 + 4 * q^82 - 12 * q^83 + 2 * q^85 - 264 * q^86 + 102 * q^87 + 48 * q^88 - 34 * q^90 - 8 * q^91 + 54 * q^92 - 52 * q^93 - 36 * q^95 + 96 * q^96 + 2 * q^97 + 42 * q^98

Introduction

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