LMFDB - Embedded newform 855.2.bx.a.68.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [855,2,Mod(68,855)]

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([10, 9, 8]))

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

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

chi := DirichletCharacter("855.68");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 855 = 3^{2} \cdot 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	855.bx (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			68.10
Character	$\chi$	$=$	855.68
Dual form			855.2.bx.a.767.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.72878 - 1.72878i) q^{2} +(-0.596167 + 1.62622i) q^{3} +3.97736i q^{4} +(-2.15959 - 0.579784i) q^{5} +(3.84201 - 1.78073i) q^{6} +(-0.563084 - 0.150878i) q^{7} +(3.41842 - 3.41842i) q^{8} +(-2.28917 - 1.93900i) q^{9} +O(q^{10})$	\(q+(-1.72878 - 1.72878i) q^{2} +(-0.596167 + 1.62622i) q^{3} +3.97736i q^{4} +(-2.15959 - 0.579784i) q^{5} +(3.84201 - 1.78073i) q^{6} +(-0.563084 - 0.150878i) q^{7} +(3.41842 - 3.41842i) q^{8} +(-2.28917 - 1.93900i) q^{9} +(2.73114 + 4.73578i) q^{10} +(1.92712 - 1.11262i) q^{11} +(-6.46805 - 2.37117i) q^{12} +(2.01487 + 2.01487i) q^{13} +(0.712614 + 1.23428i) q^{14} +(2.23034 - 3.16632i) q^{15} -3.86466 q^{16} +(0.770994 - 0.206587i) q^{17} +(0.605372 + 7.30957i) q^{18} +(3.41608 + 2.70747i) q^{19} +(2.30601 - 8.58948i) q^{20} +(0.581053 - 0.825749i) q^{21} +(-5.25504 - 1.40808i) q^{22} +(-2.57223 + 2.57223i) q^{23} +(3.52114 + 7.59704i) q^{24} +(4.32770 + 2.50420i) q^{25} -6.96653i q^{26} +(4.51796 - 2.56672i) q^{27} +(0.600096 - 2.23959i) q^{28} +(2.00065 - 3.46523i) q^{29} +(-9.32963 + 1.61812i) q^{30} +(-0.209825 + 0.363427i) q^{31} +(-0.155683 - 0.155683i) q^{32} +(0.660481 + 3.79722i) q^{33} +(-1.69002 - 0.975734i) q^{34} +(1.12856 + 0.652303i) q^{35} +(7.71208 - 9.10485i) q^{36} +(-7.53703 + 7.53703i) q^{37} +(-1.22504 - 10.5863i) q^{38} +(-4.47782 + 2.07542i) q^{39} +(-9.36434 + 5.40045i) q^{40} +(-0.602920 + 0.348096i) q^{41} +(-2.43205 + 0.423026i) q^{42} +(-8.47315 - 8.47315i) q^{43} +(4.42530 + 7.66484i) q^{44} +(3.81948 + 5.51467i) q^{45} +8.89365 q^{46} +(-5.27720 + 1.41402i) q^{47} +(2.30399 - 6.28478i) q^{48} +(-5.76788 - 3.33009i) q^{49} +(-3.15244 - 11.8108i) q^{50} +(-0.123686 + 1.37696i) q^{51} +(-8.01386 + 8.01386i) q^{52} +(-6.97238 - 1.86824i) q^{53} +(-12.2478 - 3.37326i) q^{54} +(-4.80687 + 1.28550i) q^{55} +(-2.44062 + 1.40909i) q^{56} +(-6.43949 + 3.94119i) q^{57} +(-9.44931 + 2.53194i) q^{58} +(2.95077 + 5.11089i) q^{59} +(12.5936 + 8.87084i) q^{60} +(-0.533252 + 0.923619i) q^{61} +(0.991027 - 0.265545i) q^{62} +(0.996443 + 1.43720i) q^{63} +8.26761i q^{64} +(-3.18311 - 5.51949i) q^{65} +(5.42274 - 7.70639i) q^{66} +(-2.04614 + 2.04614i) q^{67} +(0.821671 + 3.06652i) q^{68} +(-2.64953 - 5.71649i) q^{69} +(-0.823340 - 3.07872i) q^{70} +(-10.5779 - 6.10718i) q^{71} +(-14.4536 + 1.19704i) q^{72} +(-7.78946 + 2.08718i) q^{73} +26.0597 q^{74} +(-6.65241 + 5.54486i) q^{75} +(-10.7686 + 13.5870i) q^{76} +(-1.25300 + 0.335740i) q^{77} +(11.3291 + 4.15322i) q^{78} -14.5408i q^{79} +(8.34611 + 2.24067i) q^{80} +(1.48059 + 8.87738i) q^{81} +(1.64410 + 0.440535i) q^{82} +(-1.06704 - 0.285912i) q^{83} +(3.28430 + 2.31106i) q^{84} +(-1.78481 - 0.000865357i) q^{85} +29.2964i q^{86} +(4.44250 + 5.31936i) q^{87} +(2.78429 - 10.3911i) q^{88} +(-2.01390 - 3.48818i) q^{89} +(2.93061 - 16.1367i) q^{90} +(-0.830542 - 1.43854i) q^{91} +(-10.2307 - 10.2307i) q^{92} +(-0.465921 - 0.557885i) q^{93} +(11.5676 + 6.67858i) q^{94} +(-5.80761 - 7.82762i) q^{95} +(0.345987 - 0.160361i) q^{96} +(2.37295 - 2.37295i) q^{97} +(4.21441 + 15.7284i) q^{98} +(-6.56887 - 1.18969i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 464 q - 2 q^{3} - 6 q^{5} - 4 q^{6} - 4 q^{7}+O(q^{10}) $ 464 * q - 2 * q^3 - 6 * q^5 - 4 * q^6 - 4 * q^7	$ 464 q - 2 q^{3} - 6 q^{5} - 4 q^{6} - 4 q^{7} - 4 q^{10} - 24 q^{11} + 2 q^{12} - 4 q^{13} - 8 q^{15} - 424 q^{16} - 18 q^{17} - 24 q^{18} - 12 q^{20} - 4 q^{21} + 10 q^{22} + 2 q^{25} - 2 q^{27} - 20 q^{28} + 2 q^{30} - 8 q^{31} - 8 q^{33} + 76 q^{36} - 16 q^{37} - 18 q^{38} + 18 q^{40} + 36 q^{41} + 82 q^{42} - 4 q^{43} + 6 q^{45} - 56 q^{46} + 54 q^{47} - 36 q^{48} - 108 q^{50} + 12 q^{51} + 68 q^{52} - 14 q^{55} - 24 q^{56} - 6 q^{57} - 12 q^{58} + 78 q^{60} + 4 q^{61} + 12 q^{62} - 70 q^{63} - 84 q^{65} - 4 q^{66} - 4 q^{67} - 60 q^{68} + 42 q^{70} + 14 q^{72} - 4 q^{73} + 98 q^{75} + 24 q^{76} - 12 q^{77} - 64 q^{78} - 120 q^{80} - 36 q^{81} + 4 q^{82} - 12 q^{83} - 4 q^{85} + 102 q^{87} + 48 q^{88} - 46 q^{90} - 8 q^{91} - 22 q^{93} + 54 q^{95} + 96 q^{96} - 4 q^{97} - 42 q^{98}+O(q^{100}) $ 464 * q - 2 * q^3 - 6 * q^5 - 4 * q^6 - 4 * q^7 - 4 * q^10 - 24 * q^11 + 2 * q^12 - 4 * q^13 - 8 * q^15 - 424 * q^16 - 18 * q^17 - 24 * q^18 - 12 * q^20 - 4 * q^21 + 10 * q^22 + 2 * q^25 - 2 * q^27 - 20 * q^28 + 2 * q^30 - 8 * q^31 - 8 * q^33 + 76 * q^36 - 16 * q^37 - 18 * q^38 + 18 * q^40 + 36 * q^41 + 82 * q^42 - 4 * q^43 + 6 * q^45 - 56 * q^46 + 54 * q^47 - 36 * q^48 - 108 * q^50 + 12 * q^51 + 68 * q^52 - 14 * q^55 - 24 * q^56 - 6 * q^57 - 12 * q^58 + 78 * q^60 + 4 * q^61 + 12 * q^62 - 70 * q^63 - 84 * q^65 - 4 * q^66 - 4 * q^67 - 60 * q^68 + 42 * q^70 + 14 * q^72 - 4 * q^73 + 98 * q^75 + 24 * q^76 - 12 * q^77 - 64 * q^78 - 120 * q^80 - 36 * q^81 + 4 * q^82 - 12 * q^83 - 4 * q^85 + 102 * q^87 + 48 * q^88 - 46 * q^90 - 8 * q^91 - 22 * q^93 + 54 * q^95 + 96 * q^96 - 4 * q^97 - 42 * q^98

Display 100 coefficients 10 coefficients

Character values

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

$n$	$172$	$191$	$496$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{2}{3}\right)$

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 $

$2$	−1.72878	−	1.72878i	−1.22243	−	1.22243i	−0.966765	−	0.255667i	$-0.917705\pi$
$2$	−1.72878	−	1.72878i	−1.22243	−	1.22243i	−0.255667	−	0.966765i	$-0.582295\pi$
$3$	−0.596167	+	1.62622i	−0.344197	+	0.938897i
$3$	−0.596167	+	1.62622i	−0.344197	+	0.938897i
$4$			3.97736i			1.98868i
$5$	−2.15959	−	0.579784i	−0.965800	−	0.259287i
$5$	−2.15959	−	0.579784i	−0.965800	−	0.259287i
$6$	3.84201	−	1.78073i	1.56850	−	0.726980i
$7$	−0.563084	−	0.150878i	−0.212826	−	0.0570265i	0.150831	−	0.988560i	$-0.451805\pi$
$7$	−0.563084	−	0.150878i	−0.212826	−	0.0570265i	−0.363657	+	0.931533i	$0.618472\pi$
$8$	3.41842	−	3.41842i	1.20859	−	1.20859i
$9$	−2.28917	−	1.93900i	−0.763056	−	0.646332i
$10$	2.73114	+	4.73578i	0.863664	+	1.49759i
$11$	1.92712	−	1.11262i	0.581048	−	0.335468i	−0.180502	−	0.983575i	$-0.557772\pi$
$11$	1.92712	−	1.11262i	0.581048	−	0.335468i	0.761550	+	0.648106i	$0.224439\pi$
$12$	−6.46805	−	2.37117i	−1.86717	−	0.684498i
$13$	2.01487	+	2.01487i	0.558824	+	0.558824i	0.928973	−	0.370148i	$-0.120693\pi$
$13$	2.01487	+	2.01487i	0.558824	+	0.558824i	−0.370148	+	0.928973i	$0.620693\pi$
$14$	0.712614	+	1.23428i	0.190454	+	0.329876i
$15$	2.23034	−	3.16632i	0.575870	−	0.817541i
$16$	−3.86466			−0.966166
$17$	0.770994	−	0.206587i	0.186993	−	0.0501047i	−0.164107	−	0.986443i	$-0.552474\pi$
$17$	0.770994	−	0.206587i	0.186993	−	0.0501047i	0.351100	+	0.936338i	$0.385808\pi$
$18$	0.605372	+	7.30957i	0.142687	+	1.72288i
$19$	3.41608	+	2.70747i	0.783703	+	0.621135i
$19$	3.41608	+	2.70747i	0.783703	+	0.621135i
$20$	2.30601	−	8.58948i	0.515639	−	1.92067i
$21$	0.581053	−	0.825749i	0.126796	−	0.180193i
$22$	−5.25504	−	1.40808i	−1.12038	−	0.300205i
$23$	−2.57223	+	2.57223i	−0.536348	+	0.536348i	−0.922454	−	0.386106i	$-0.873820\pi$
$23$	−2.57223	+	2.57223i	−0.536348	+	0.536348i	0.386106	+	0.922454i	$0.373820\pi$
$24$	3.52114	+	7.59704i	0.718750	+	1.55074i
$25$	4.32770	+	2.50420i	0.865540	+	0.500840i
$26$		−	6.96653i		−	1.36625i
$27$	4.51796	−	2.56672i	0.869481	−	0.493966i
$28$	0.600096	−	2.23959i	0.113407	−	0.423242i
$29$	2.00065	−	3.46523i	0.371512	−	0.643477i	−0.618286	−	0.785953i	$-0.712173\pi$
$29$	2.00065	−	3.46523i	0.371512	−	0.643477i	0.989798	+	0.142475i	$0.0455062\pi$
$30$	−9.32963	+	1.61812i	−1.70335	+	0.295426i
$31$	−0.209825	+	0.363427i	−0.0376857	+	0.0652735i	−0.884253	−	0.467008i	$-0.845332\pi$
$31$	−0.209825	+	0.363427i	−0.0376857	+	0.0652735i	0.846567	+	0.532282i	$0.178665\pi$
$32$	−0.155683	−	0.155683i	−0.0275211	−	0.0275211i
$33$	0.660481	+	3.79722i	0.114975	+	0.661012i
$34$	−1.69002	−	0.975734i	−0.289836	−	0.167337i
$35$	1.12856	+	0.652303i	0.190761	+	0.110259i
$36$	7.71208	−	9.10485i	1.28535	−	1.51747i
$37$	−7.53703	+	7.53703i	−1.23908	+	1.23908i	−0.278703	+	0.960377i	$0.589905\pi$
$37$	−7.53703	+	7.53703i	−1.23908	+	1.23908i	−0.960377	+	0.278703i	$0.910095\pi$
$38$	−1.22504	−	10.5863i	−0.198728	−	1.71732i
$39$	−4.47782	+	2.07542i	−0.717024	+	0.332333i
$40$	−9.36434	+	5.40045i	−1.48063	+	0.853886i
$41$	−0.602920	+	0.348096i	−0.0941603	+	0.0543635i	−0.546341	−	0.837563i	$-0.683980\pi$
$41$	−0.602920	+	0.348096i	−0.0941603	+	0.0543635i	0.452180	+	0.891926i	$0.350646\pi$
$42$	−2.43205	+	0.423026i	−0.375274	+	0.0652743i
$43$	−8.47315	−	8.47315i	−1.29214	−	1.29214i	−0.933459	−	0.358685i	$-0.883225\pi$
$43$	−8.47315	−	8.47315i	−1.29214	−	1.29214i	−0.358685	−	0.933459i	$-0.616775\pi$
$44$	4.42530	+	7.66484i	0.667139	+	1.15552i
$45$	3.81948	+	5.51467i	0.569374	+	0.822078i
$46$	8.89365			1.31130
$47$	−5.27720	+	1.41402i	−0.769758	+	0.206256i	−0.622265	−	0.782807i	$-0.713787\pi$
$47$	−5.27720	+	1.41402i	−0.769758	+	0.206256i	−0.147494	+	0.989063i	$0.547121\pi$
$48$	2.30399	−	6.28478i	0.332552	−	0.907130i
$49$	−5.76788	−	3.33009i	−0.823983	−	0.475727i
$50$	−3.15244	−	11.8108i	−0.445822	−	1.67031i
$51$	−0.123686	+	1.37696i	−0.0173194	+	0.192814i
$52$	−8.01386	+	8.01386i	−1.11132	+	1.11132i
$53$	−6.97238	−	1.86824i	−0.957730	−	0.256623i	−0.254091	−	0.967180i	$-0.581776\pi$
$53$	−6.97238	−	1.86824i	−0.957730	−	0.256623i	−0.703639	+	0.710557i	$0.748443\pi$
$54$	−12.2478	−	3.37326i	−1.66672	−	0.459042i
$55$	−4.80687	+	1.28550i	−0.648159	+	0.173337i
$56$	−2.44062	+	1.40909i	−0.326142	+	0.188298i
$57$	−6.43949	+	3.94119i	−0.852931	+	0.522024i
$58$	−9.44931	+	2.53194i	−1.24076	+	0.332459i
$59$	2.95077	+	5.11089i	0.384158	+	0.665381i	0.991652	−	0.128943i	$-0.0411585\pi$
$59$	2.95077	+	5.11089i	0.384158	+	0.665381i	−0.607494	+	0.794324i	$0.707825\pi$
$60$	12.5936	+	8.87084i	1.62583	+	1.14522i
$61$	−0.533252	+	0.923619i	−0.0682759	+	0.118257i	−0.898142	−	0.439705i	$-0.855083\pi$
$61$	−0.533252	+	0.923619i	−0.0682759	+	0.118257i	0.829867	+	0.557962i	$0.188416\pi$
$62$	0.991027	−	0.265545i	0.125861	−	0.0337242i
$63$	0.996443	+	1.43720i	0.125540	+	0.181071i
$64$			8.26761i			1.03345i
$65$	−3.18311	−	5.51949i	−0.394816	−	0.684608i
$66$	5.42274	−	7.70639i	0.667493	−	0.948591i
$67$	−2.04614	+	2.04614i	−0.249976	+	0.249976i	−0.820961	−	0.570984i	$-0.806562\pi$
$67$	−2.04614	+	2.04614i	−0.249976	+	0.249976i	0.570984	+	0.820961i	$0.306562\pi$
$68$	0.821671	+	3.06652i	0.0996422	+	0.371870i
$69$	−2.64953	−	5.71649i	−0.318966	−	0.688185i
$70$	−0.823340	−	3.07872i	−0.0984079	−	0.367977i
$71$	−10.5779	−	6.10718i	−1.25537	−	0.724788i	−0.283199	−	0.959061i	$-0.591396\pi$
$71$	−10.5779	−	6.10718i	−1.25537	−	0.724788i	−0.972171	+	0.234273i	$0.924729\pi$
$72$	−14.4536	+	1.19704i	−1.70338	+	0.141072i
$73$	−7.78946	+	2.08718i	−0.911688	+	0.244286i	−0.684029	−	0.729455i	$-0.739774\pi$
$73$	−7.78946	+	2.08718i	−0.911688	+	0.244286i	−0.227659	+	0.973741i	$0.573107\pi$
$74$	26.0597			3.02938
$75$	−6.65241	+	5.54486i	−0.768154	+	0.640266i
$76$	−10.7686	+	13.5870i	−1.23524	+	1.55853i
$77$	−1.25300	+	0.335740i	−0.142793	+	0.0382612i
$78$	11.3291	+	4.15322i	1.28277	+	0.470259i
$79$		−	14.5408i		−	1.63597i	−0.575241	−	0.817984i	$-0.695092\pi$
$79$		−	14.5408i		−	1.63597i	0.575241	−	0.817984i	$-0.304908\pi$
$80$	8.34611	+	2.24067i	0.933123	+	0.250515i
$81$	1.48059	+	8.87738i	0.164510	+	0.986375i
$82$	1.64410	+	0.440535i	0.181560	+	0.0486489i
$83$	−1.06704	−	0.285912i	−0.117123	−	0.0313829i	0.199782	−	0.979840i	$-0.435977\pi$
$83$	−1.06704	−	0.285912i	−0.117123	−	0.0313829i	−0.316904	+	0.948458i	$0.602643\pi$
$84$	3.28430	+	2.31106i	0.358347	+	0.252157i
$85$	−1.78481		0.000865357i	−0.193590		9.38612e-5i
$86$			29.2964i			3.15912i
$87$	4.44250	+	5.31936i	0.476286	+	0.570295i
$88$	2.78429	−	10.3911i	0.296806	−	1.10769i
$89$	−2.01390	−	3.48818i	−0.213473	−	0.369747i	0.739326	−	0.673348i	$-0.235144\pi$
$89$	−2.01390	−	3.48818i	−0.213473	−	0.369747i	−0.952799	+	0.303601i	$0.901811\pi$
$90$	2.93061	−	16.1367i	0.308914	−	1.70096i
$91$	−0.830542	−	1.43854i	−0.0870645	−	0.150800i
$92$	−10.2307	−	10.2307i	−1.06662	−	1.06662i
$93$	−0.465921	−	0.557885i	−0.0483138	−	0.0578499i
$94$	11.5676	+	6.67858i	1.19311	+	0.688843i
$95$	−5.80761	−	7.82762i	−0.595848	−	0.803097i
$96$	0.345987	−	0.160361i	0.0353122	−	0.0163668i
$97$	2.37295	−	2.37295i	0.240936	−	0.240936i	−0.576301	−	0.817237i	$-0.695504\pi$
$97$	2.37295	−	2.37295i	0.240936	−	0.240936i	0.817237	+	0.576301i	$0.195504\pi$
$98$	4.21441	+	15.7284i	0.425719	+	1.58881i
$99$	−6.56887	−	1.18969i	−0.660196	−	0.119569i
$100$	−9.96009	+	17.2128i	−0.996009	+	1.72128i
$101$	5.38298	+	3.10786i	0.535626	+	0.309244i	0.743304	−	0.668953i	$-0.233257\pi$
$101$	5.38298	+	3.10786i	0.535626	+	0.309244i	−0.207678	+	0.978197i	$0.566591\pi$
$102$	2.59429	−	2.16664i	0.256873	−	0.214530i
$103$	4.49107	−	1.20338i	0.442519	−	0.118573i	−0.0306780	−	0.999529i	$-0.509767\pi$
$103$	4.49107	−	1.20338i	0.442519	−	0.118573i	0.473197	+	0.880957i	$0.343100\pi$
$104$	13.7753			1.35078
$105$	−1.73360	+	1.44640i	−0.169182	+	0.141154i
$106$	8.82393	+	15.2835i	0.857056	+	1.48446i
$107$	−0.979178	−	0.979178i	−0.0946607	−	0.0946607i	0.658191	−	0.752851i	$-0.271322\pi$
$107$	−0.979178	−	0.979178i	−0.0946607	−	0.0946607i	−0.752851	+	0.658191i	$0.771322\pi$
$108$	10.2088	+	17.9695i	0.982339	+	1.72912i
$109$	10.2728	+	5.93102i	0.983959	+	0.568089i	0.903463	−	0.428666i	$-0.141016\pi$
$109$	10.2728	+	5.93102i	0.983959	+	0.568089i	0.0804961	+	0.996755i	$0.474350\pi$
$110$	10.5324	+	6.08768i	1.00422	+	0.580438i
$111$	−7.76352	−	16.7502i	−0.736881	−	1.58986i
$112$	2.17613	+	0.583093i	0.205625	+	0.0550971i
$113$	4.95600	+	18.4960i	0.466221	+	1.73996i	0.652808	+	0.757523i	$0.273591\pi$
$113$	4.95600	+	18.4960i	0.466221	+	1.73996i	−0.186587	+	0.982438i	$0.559743\pi$
$114$	17.9459	+	4.31900i	1.68079	+	0.404512i
$115$	7.04632	−	4.06364i	0.657073	−	0.378937i
$116$	13.7825	+	7.95731i	1.27967	+	0.738818i
$117$	−0.705552	−	8.51920i	−0.0652283	−	0.787600i
$118$	3.73436	−	13.9368i	0.343776	−	1.28299i
$119$	−0.465304			−0.0426543
$120$	−3.19960	−	18.4480i	−0.292082	−	1.68407i
$121$	−3.02414	+	5.23797i	−0.274922	+	0.476179i
$122$	2.51861	−	0.674859i	0.228024	−	0.0610989i
$123$	−0.206639	−	1.18800i	−0.0186320	−	0.107119i
$124$	−1.44548	−	0.834549i	−0.129808	−	0.0749447i
$125$	−7.89419	−	7.91718i	−0.706078	−	0.708135i
$126$	0.761978	−	4.20724i	0.0678824	−	0.374811i
$127$	7.71319	+	2.06674i	0.684435	+	0.183394i	0.584249	−	0.811575i	$-0.301389\pi$
$127$	7.71319	+	2.06674i	0.684435	+	0.183394i	0.100187	+	0.994969i	$0.468056\pi$
$128$	13.9815	−	13.9815i	1.23580	−	1.23580i
$129$	18.8306	−	8.72778i	1.65794	−	0.768438i
$130$	−4.03908	+	15.0449i	−0.354251	+	1.31952i
$131$	−9.13964	+	5.27677i	−0.798534	+	0.461034i	−0.842958	−	0.537979i	$-0.819188\pi$
$131$	−9.13964	+	5.27677i	−0.798534	+	0.461034i	0.0444242	+	0.999013i	$0.485855\pi$
$132$	−15.1029	+	2.62697i	−1.31454	+	0.228648i
$133$	−1.51505	−	2.03994i	−0.131371	−	0.176886i
$134$	7.07467			0.611158
$135$	−11.2451	+	2.92364i	−0.967824	+	0.251627i
$136$	1.92938	−	3.34178i	0.165443	−	0.286555i
$137$	−8.58844	+	2.30126i	−0.733760	+	0.196610i	−0.606303	−	0.795234i	$-0.707348\pi$
$137$	−8.58844	+	2.30126i	−0.733760	+	0.196610i	−0.127457	+	0.991844i	$0.540681\pi$
$138$	−5.30210	+	14.4630i	−0.451345	+	1.23117i
$139$			17.3363i			1.47045i	0.677826	+	0.735223i	$0.262922\pi$
$139$			17.3363i			1.47045i	−0.677826	+	0.735223i	$0.737078\pi$
$140$	−2.59444	+	4.48868i	−0.219270	+	0.379363i
$141$	0.846587	−	9.42486i	0.0712955	−	0.793717i
$142$	7.72896	+	28.8449i	0.648600	+	2.42061i
$143$	6.12468	+	1.64110i	0.512171	+	0.137236i
$144$	8.84687	+	7.49357i	0.737239	+	0.624464i
$145$	−6.32969	+	6.32355i	−0.525652	+	0.525142i
$146$	17.0745	+	9.85799i	1.41310	+	0.815853i
$147$	8.85407	−	7.39454i	0.730271	−	0.609891i
$148$	−29.9775	−	29.9775i	−2.46413	−	2.46413i
$149$	1.72248	+	2.98342i	0.141111	+	0.244411i	0.927915	−	0.372791i	$-0.121599\pi$
$149$	1.72248	+	2.98342i	0.141111	+	0.244411i	−0.786804	+	0.617202i	$0.788266\pi$
$150$	21.0864	+	1.91470i	1.72170	+	0.156334i
$151$	−4.43513	−	7.68186i	−0.360925	−	0.625141i	0.627188	−	0.778868i	$-0.284206\pi$
$151$	−4.43513	−	7.68186i	−0.360925	−	0.625141i	−0.988113	+	0.153727i	$0.950872\pi$
$152$	20.9328	−	2.42235i	1.69788	−	0.196478i
$153$	−2.16551	−	1.02204i	−0.175071	−	0.0826271i
$154$	2.74658	+	1.58574i	0.221326	+	0.127783i
$155$	0.663846	−	0.663203i	0.0533214	−	0.0532697i
$156$	−8.25468	−	17.8099i	−0.660903	−	1.42593i
$157$	−2.11220	−	0.565963i	−0.168572	−	0.0451688i	0.173546	−	0.984826i	$-0.444478\pi$
$157$	−2.11220	−	0.565963i	−0.168572	−	0.0451688i	−0.342118	+	0.939657i	$0.611144\pi$
$158$	−25.1378	+	25.1378i	−1.99986	+	1.99986i
$159$	7.19488	−	10.2248i	0.570591	−	0.810881i
$160$	0.245950	+	0.426474i	0.0194440	+	0.0337158i
$161$	1.83648	−	1.06029i	0.144735	−	0.0835627i
$162$	12.7874	−	17.9066i	1.00467	−	1.40688i
$163$	−7.27137	−	7.27137i	−0.569537	−	0.569537i	0.362461	−	0.931999i	$-0.381936\pi$
$163$	−7.27137	−	7.27137i	−0.569537	−	0.569537i	−0.931999	+	0.362461i	$0.881936\pi$
$164$	−1.38450	−	2.39803i	−0.108112	−	0.187255i
$165$	0.775198	−	8.58340i	0.0603491	−	0.668217i
$166$	1.35039	+	2.33895i	0.104811	+	0.181538i
$167$	−9.83848	−	9.83848i	−0.761325	−	0.761325i	0.215237	−	0.976562i	$-0.430948\pi$
$167$	−9.83848	−	9.83848i	−0.761325	−	0.761325i	−0.976562	+	0.215237i	$0.930948\pi$
$168$	−0.836474	−	4.80904i	−0.0645354	−	0.371025i
$169$		−	4.88061i		−	0.375431i
$170$	3.08405	+	3.08704i	0.236536	+	0.236765i
$171$	−2.57022	−	12.8216i	−0.196550	−	0.980494i
$172$	33.7008	−	33.7008i	2.56966	−	2.56966i
$173$	−1.16038	+	1.16038i	−0.0882219	+	0.0882219i	−0.749841	−	0.661619i	$-0.769870\pi$
$173$	−1.16038	+	1.16038i	−0.0882219	+	0.0882219i	0.661619	+	0.749841i	$0.269870\pi$
$174$	1.51589	−	16.8761i	0.114920	−	1.27937i
$175$	−2.05903	−	2.06303i	−0.155648	−	0.155950i
$176$	−7.44766	+	4.29991i	−0.561389	+	0.324118i
$177$	−10.0706	+	1.75165i	−0.756951	+	0.131662i
$178$	−2.54870	+	9.51190i	−0.191033	+	0.712947i
$179$	−21.5158			−1.60816			−0.804082	−	0.594518i	$-0.797343\pi$
$179$	−21.5158			−1.60816			−0.804082	+	0.594518i	$0.797343\pi$
$180$	−21.9338	+	15.1914i	−1.63485	+	1.13230i
$181$	−3.55039	−	6.14945i	−0.263898	−	0.457085i	0.703376	−	0.710818i	$-0.251675\pi$
$181$	−3.55039	−	6.14945i	−0.263898	−	0.457085i	−0.967274	+	0.253733i	$0.918342\pi$
$182$	−1.05110	+	3.92274i	−0.0779124	+	0.290773i
$183$	−1.18410	−	1.41781i	−0.0875311	−	0.104808i
$184$			17.5859i			1.29645i
$185$	20.6468	−	11.9071i	1.51798	−	0.875426i
$186$	−0.158984	+	1.76993i	−0.0116573	+	0.129778i
$187$	1.25594	−	1.25594i	0.0918436	−	0.0918436i
$188$	−5.62407	−	20.9893i	−0.410177	−	1.53080i
$189$	−2.93125	+	0.763620i	−0.213217	+	0.0555452i
$190$	−3.49216	+	23.5723i	−0.253348	+	1.71012i
$191$	−20.5394	+	11.8584i	−1.48618	+	0.858044i	−0.999876	−	0.0157482i	$-0.994987\pi$
$191$	−20.5394	+	11.8584i	−1.48618	+	0.858044i	−0.486300	+	0.873792i	$0.661654\pi$
$192$	−13.4449	−	4.92888i	−0.970305	−	0.355711i
$193$	5.15055	−	19.2221i	0.370745	−	1.38364i	−0.488719	−	0.872441i	$-0.662536\pi$
$193$	5.15055	−	19.2221i	0.370745	−	1.38364i	0.859464	−	0.511197i	$-0.170798\pi$
$194$	−8.20461			−0.589056
$195$	10.8736	−	1.88589i	0.778672	−	0.135052i
$196$	13.2449	−	22.9409i	0.946068	−	1.63864i
$197$	−9.04786	−	9.04786i	−0.644633	−	0.644633i	0.307058	−	0.951691i	$-0.400656\pi$
$197$	−9.04786	−	9.04786i	−0.644633	−	0.644633i	−0.951691	+	0.307058i	$0.900656\pi$
$198$	9.29941	+	13.4128i	0.660880	+	0.953209i
$199$	−13.1658	+	7.60126i	−0.933296	+	0.538839i	−0.887853	−	0.460128i	$-0.847804\pi$
$199$	−13.1658	+	7.60126i	−0.933296	+	0.538839i	−0.0454437	+	0.998967i	$0.514470\pi$
$200$	23.3543	−	6.23349i	1.65140	−	0.440775i
$201$	−2.10763	−	4.54732i	−0.148661	−	0.320743i
$202$	−3.93317	−	14.6788i	−0.276737	−	1.03280i
$203$	−1.64936	+	1.64936i	−0.115763	+	0.115763i
$204$	−5.47668	−	0.491942i	−0.383444	−	0.0344428i
$205$	1.50388	−	0.402183i	0.105036	−	0.0280897i
$206$	−9.84446	−	5.68370i	−0.685896	−	0.396002i
$207$	10.8758	−	0.900726i	0.755922	−	0.0626048i
$208$	−7.78679	−	7.78679i	−0.539917	−	0.539917i
$209$	9.59558	+	1.41680i	0.663740	+	0.0980020i
$210$	5.49751	+	0.496500i	0.379364	+	0.0342618i
$211$	0.283681	+	0.491350i	0.0195294	+	0.0338259i	0.875625	−	0.482992i	$-0.160450\pi$
$211$	0.283681	+	0.491350i	0.0195294	+	0.0338259i	−0.856096	+	0.516818i	$0.827117\pi$
$212$	7.43068	−	27.7317i	0.510341	−	1.90462i
$213$	16.2378	−	13.5611i	1.11260	−	0.929193i
$214$			3.38557i			0.231432i
$215$	13.3860	+	23.2112i	0.912916	+	1.58299i
$216$	6.67014	−	24.2184i	0.453846	−	1.64785i
$217$	0.172982	−	0.172982i	0.0117428	−	0.0117428i
$218$	−7.50604	−	28.0129i	−0.508373	−	1.89727i
$219$	1.24961	−	13.9117i	0.0844411	−	0.940064i
$220$	−5.11290	−	19.1187i	−0.344711	−	1.28898i
$221$	1.96970	+	1.13721i	0.132496	+	0.0764967i
$222$	−15.5360	+	42.3788i	−1.04271	+	2.84428i
$223$	0.685417	+	0.685417i	0.0458989	+	0.0458989i	0.729684	−	0.683785i	$-0.239667\pi$
$223$	0.685417	+	0.685417i	0.0458989	+	0.0458989i	−0.683785	+	0.729684i	$0.739667\pi$
$224$	0.0641735	+	0.111152i	0.00428777	+	0.00742664i
$225$	−5.05121	−	14.1239i	−0.336747	−	0.941595i
$226$	23.4078	−	40.5434i	1.55706	−	2.69691i
$227$	−0.254015	+	0.947996i	−0.0168596	+	0.0629207i	−0.973843	−	0.227221i	$-0.927036\pi$
$227$	−0.254015	+	0.947996i	−0.0168596	+	0.0629207i	0.956984	+	0.290142i	$0.0937026\pi$
$228$	−15.6755	−	25.6122i	−1.03814	−	1.69621i
$229$	−12.4020	−	7.16030i	−0.819548	−	0.473166i	0.0307128	−	0.999528i	$-0.490222\pi$
$229$	−12.4020	−	7.16030i	−0.819548	−	0.473166i	−0.850260	+	0.526362i	$0.823556\pi$
$230$	−19.2067	−	5.15640i	−1.26645	−	0.340003i
$231$	0.201011	−	2.23781i	0.0132255	−	0.147237i
$232$	−5.00654	−	18.6847i	−0.328696	−	1.22671i
$233$	5.81012	+	21.6837i	0.380634	+	1.42054i	0.844936	+	0.534867i	$0.179638\pi$
$233$	5.81012	+	21.6837i	0.380634	+	1.42054i	−0.464303	+	0.885677i	$0.653695\pi$
$234$	−13.5081	+	15.9476i	−0.883050	+	1.04252i
$235$	12.2164	+	0.00592309i	0.796912	+	0.000386380i
$236$	−20.3278	+	11.7363i	−1.32323	+	0.763967i
$237$	23.6465	+	8.66875i	1.53601	+	0.563096i
$238$	0.804408	+	0.804408i	0.0521420	+	0.0521420i
$239$	−9.43370	+	16.3396i	−0.610215	+	1.05692i	0.380989	+	0.924580i	$0.375584\pi$
$239$	−9.43370	+	16.3396i	−0.610215	+	1.05692i	−0.991204	+	0.132344i	$0.957750\pi$
$240$	−8.61950	+	12.2368i	−0.556386	+	0.789880i
$241$	12.0745	−	20.9136i	0.777785	−	1.34716i	−0.155431	−	0.987847i	$-0.549676\pi$
$241$	12.0745	−	20.9136i	0.777785	−	1.34716i	0.933216	−	0.359317i	$-0.116990\pi$
$242$	14.2834	−	3.82722i	0.918170	−	0.246023i
$243$	−15.3192	−	2.88465i	−0.982729	−	0.185050i
$244$	−3.67356	−	2.12093i	−0.235176	−	0.135779i
$245$	10.5255	+	10.5358i	0.672453	+	0.673105i
$246$	−1.69656	+	2.41103i	−0.108169	+	0.153722i
$247$	1.42777	+	12.3382i	0.0908468	+	0.785058i
$248$	0.525077	+	1.95962i	0.0333424	+	0.124436i
$249$	1.10109	−	1.56478i	0.0697786	−	0.0991641i
$250$	−0.0397589	+	27.3344i	−0.00251457	+	1.72878i
$251$	19.2873	−	11.1355i	1.21740	−	0.702867i	0.253040	−	0.967456i	$-0.418570\pi$
$251$	19.2873	−	11.1355i	1.21740	−	0.702867i	0.964361	+	0.264589i	$0.0852363\pi$
$252$	−5.71627	+	3.96321i	−0.360091	+	0.249659i
$253$	−2.09507	+	7.81892i	−0.131716	+	0.491571i
$254$	−9.76147	−	16.9074i	−0.612489	−	1.06086i
$255$	1.06545	−	2.90197i	0.0667212	−	0.181729i
$256$	−31.8067			−1.98792
$257$	9.65380	+	9.65380i	0.602187	+	0.602187i	0.940893	−	0.338705i	$-0.109989\pi$
$257$	9.65380	+	9.65380i	0.602187	+	0.602187i	−0.338705	+	0.940893i	$0.609989\pi$
$258$	−47.6424	−	17.4656i	−2.96608	−	1.08736i
$259$	5.38116	−	3.10681i	0.334369	−	0.193048i
$260$	21.9530	−	12.6604i	1.36147	−	0.785163i
$261$	−11.2989	+	4.05324i	−0.699385	+	0.250889i
$262$	24.9228	+	6.67805i	1.53974	+	0.412571i
$263$	−19.3225	+	19.3225i	−1.19148	+	1.19148i	−0.214826	+	0.976652i	$0.568918\pi$
$263$	−19.3225	+	19.3225i	−1.19148	+	1.19148i	−0.976652	+	0.214826i	$0.931082\pi$
$264$	15.2383	+	10.7227i	0.937852	+	0.659936i
$265$	13.9743	+	8.07713i	0.858437	+	0.496174i
$266$	−0.907433	+	6.14580i	−0.0556383	+	0.376823i
$267$	6.87317	−	1.19550i	0.420631	−	0.0731637i
$268$	−8.13825	−	8.13825i	−0.497123	−	0.497123i
$269$	−4.83365	+	8.37212i	−0.294713	+	0.510457i	−0.974918	−	0.222564i	$-0.928557\pi$
$269$	−4.83365	+	8.37212i	−0.294713	+	0.510457i	0.680205	+	0.733022i	$0.261891\pi$
$270$	24.4946	+	14.3860i	1.49070	+	0.875503i
$271$	2.42132	−	4.19386i	0.147085	−	0.254759i	−0.783064	−	0.621941i	$-0.786344\pi$
$271$	2.42132	−	4.19386i	0.147085	−	0.254759i	0.930149	+	0.367183i	$0.119678\pi$
$272$	−2.97963	+	0.798390i	−0.180667	+	0.0484095i
$273$	2.83452	−	0.493031i	0.171553	−	0.0298396i
$274$	18.8259	+	10.8691i	1.13731	+	0.656629i
$275$	11.1262	+	0.0107890i	0.670936	+	0.000650601i
$276$	22.7365	−	10.5381i	1.36858	−	0.634321i
$277$	−2.59419	−	0.695112i	−0.155870	−	0.0417652i	0.180040	−	0.983659i	$-0.442377\pi$
$277$	−2.59419	−	0.695112i	−0.155870	−	0.0417652i	−0.335910	+	0.941894i	$0.609044\pi$
$278$	29.9706	−	29.9706i	1.79752	−	1.79752i
$279$	1.18501	−	0.425097i	0.0709446	−	0.0254499i
$280$	6.08772	−	1.62804i	0.363811	−	0.0972939i
$281$	12.4828	+	7.20697i	0.744664	+	0.429932i	0.823763	−	0.566935i	$-0.191871\pi$
$281$	12.4828	+	7.20697i	0.744664	+	0.429932i	−0.0790988	+	0.996867i	$0.525204\pi$
$282$	−17.7571	+	14.8300i	−1.05742	+	0.883111i
$283$	1.87900	−	7.01253i	0.111695	−	0.416851i	−0.887323	−	0.461148i	$-0.847438\pi$
$283$	1.87900	−	7.01253i	0.111695	−	0.416851i	0.999018	+	0.0442962i	$0.0141045\pi$
$284$	24.2904	−	42.0722i	1.44137	−	2.49653i
$285$	16.1917	−	4.77787i	0.959115	−	0.283016i
$286$	−7.75111	−	13.4253i	−0.458333	−	0.793856i
$287$	0.392015	−	0.105040i	0.0231399	−	0.00620032i
$288$	0.0545159	+	0.658253i	0.00321238	+	0.0387879i
$289$	−14.1707	+	8.18145i	−0.833569	+	0.481261i
$290$	21.8747	+	0.0106058i	1.28452	+	0.000622796i
$291$	2.44426	+	5.27360i	0.143285	+	0.309144i
$292$	−8.30146	−	30.9815i	−0.485806	−	1.81305i
$293$	−3.58086	−	13.3640i	−0.209196	−	0.780731i	−0.988129	−	0.153624i	$-0.950906\pi$
$293$	−3.58086	−	13.3640i	−0.209196	−	0.780731i	0.778933	−	0.627107i	$-0.215761\pi$
$294$	−28.0903	−	2.52320i	−1.63826	−	0.147156i
$295$	−3.40926	−	12.7483i	−0.198495	−	0.742233i
$296$			51.5294i			2.99509i
$297$	5.85085	−	9.97315i	0.339501	−	0.578701i
$298$	2.17989	−	8.13545i	0.126277	−	0.471274i
$299$	−10.3654			−0.599448
$300$	−22.0539	−	26.4590i	−1.27328	−	1.52761i
$301$	3.49269	+	6.04951i	0.201315	+	0.348688i
$302$	−5.61289	+	20.9476i	−0.322986	+	1.20540i
$303$	−8.26322	+	6.90108i	−0.474709	+	0.396457i
$304$	−13.2020	−	10.4634i	−0.757187	−	0.600120i
$305$	1.68711	−	1.68547i	0.0966035	−	0.0965098i
$306$	1.97680	+	5.51057i	0.113006	+	0.315018i
$307$	−0.859165	−	3.20645i	−0.0490352	−	0.183002i	0.937065	−	0.349156i	$-0.113532\pi$
$307$	−0.859165	−	3.20645i	−0.0490352	−	0.183002i	−0.986100	+	0.166154i	$0.946865\pi$
$308$	−1.33536	−	4.98363i	−0.0760892	−	0.283969i
$309$	−0.720474	+	8.02088i	−0.0409864	+	0.456292i
$310$	−2.29418	−	0.00111232i	−0.130300	−	6.31756e-5i
$311$	−27.3317	−	15.7800i	−1.54984	−	0.894801i	−0.998153	−	0.0607499i	$-0.980651\pi$
$311$	−27.3317	−	15.7800i	−1.54984	−	0.894801i	−0.551687	−	0.834051i	$-0.686016\pi$
$312$	−8.21240	+	22.4017i	−0.464936	+	1.26825i
$313$	−10.0422	+	2.69080i	−0.567619	+	0.152093i	−0.531204	−	0.847244i	$-0.678260\pi$
$313$	−10.0422	+	2.69080i	−0.567619	+	0.152093i	−0.0364146	+	0.999337i	$0.511594\pi$
$314$	2.67311	+	4.62996i	0.150852	+	0.261284i
$315$	−1.31865	−	3.68150i	−0.0742973	−	0.207429i
$316$	57.8340			3.25342
$317$	20.3415	−	5.45049i	1.14249	−	0.306130i	0.362539	−	0.931968i	$-0.381910\pi$
$317$	20.3415	−	5.45049i	1.14249	−	0.306130i	0.779953	+	0.625839i	$0.215243\pi$
$318$	−30.1148	+	5.23811i	−1.68876	+	0.293739i
$319$		−	8.90388i		−	0.498522i
$320$	4.79343	−	17.8547i	0.267961	−	0.998107i
$321$	2.17611	−	1.00860i	0.121459	−	0.0562947i
$322$	−5.00788	−	1.34186i	−0.279078	−	0.0747787i
$323$	3.19311	+	1.38172i	0.177669	+	0.0768810i
$324$	−35.3085	+	5.88883i	−1.96158	+	0.327157i
$325$	3.67412	+	13.7654i	0.203803	+	0.763566i
$326$			25.1412i			1.39244i
$327$	−15.7695	+	13.1700i	−0.872054	+	0.728302i
$328$	−0.871095	+	3.25097i	−0.0480982	+	0.179505i
$329$	3.18485			0.175587
$330$	−16.1790	+	13.4987i	−0.890622	+	0.743077i
$331$	2.41162	+	4.17704i	0.132554	+	0.229591i	0.924661	−	0.380792i	$-0.124349\pi$
$331$	2.41162	+	4.17704i	0.132554	+	0.229591i	−0.792106	+	0.610383i	$0.791015\pi$
$332$	1.13717	−	4.24399i	0.0624105	−	0.232919i
$333$	31.8678	−	2.63926i	1.74635	−	0.144631i
$334$			34.0171i			1.86134i
$335$	5.60517	−	3.23252i	0.306243	−	0.176612i
$336$	−2.24557	+	3.19124i	−0.122506	+	0.174097i
$337$	30.2437	+	8.10376i	1.64748	+	0.441440i	0.958905	−	0.283728i	$-0.0915712\pi$
$337$	30.2437	+	8.10376i	1.64748	+	0.441440i	0.688572	+	0.725168i	$0.258238\pi$
$338$	−8.43749	+	8.43749i	−0.458939	+	0.458939i
$339$	−33.0332	−	2.96720i	−1.79412	−	0.161156i
$340$	0.00344184	−	7.09883i	0.000186660	−	0.384988i
$341$			0.933823i			0.0505694i
$342$	−17.7224	+	26.6091i	−0.958318	+	1.43886i
$343$	5.63081	+	5.63081i	0.304035	+	0.304035i
$344$	−57.9295			−3.12335
$345$	2.40758	+	13.8815i	0.129620	+	0.747353i
$346$	4.01207			0.215690
$347$	6.18941	−	23.0992i	0.332265	−	1.24003i	−0.574539	−	0.818477i	$-0.694819\pi$
$347$	6.18941	−	23.0992i	0.332265	−	1.24003i	0.906804	−	0.421553i	$-0.138515\pi$
$348$	−21.1570	+	17.6694i	−1.13413	+	0.947180i
$349$	−2.21728	+	1.28015i	−0.118688	+	0.0685248i	−0.558169	−	0.829727i	$-0.688496\pi$
$349$	−2.21728	+	1.28015i	−0.118688	+	0.0685248i	0.439480	+	0.898252i	$0.355163\pi$
$350$	−0.00691016	+	7.12614i	−0.000369363	+	0.380908i
$351$	14.2747	+	3.93149i	0.761927	+	0.209847i
$352$	−0.473236	−	0.126803i	−0.0252235	−	0.00675863i
$353$	−25.2281	−	6.75984i	−1.34276	−	0.359790i	−0.485299	−	0.874348i	$-0.661289\pi$
$353$	−25.2281	−	6.75984i	−1.34276	−	0.359790i	−0.857456	+	0.514558i	$0.827956\pi$
$354$	20.4380	+	14.3816i	1.08627	+	0.764372i
$355$	19.3032	+	19.3219i	1.02451	+	1.02550i
$356$	13.8738	−	8.01002i	0.735308	−	0.424530i
$357$	0.277399	−	0.756686i	0.0146815	−	0.0400480i
$358$	37.1960	+	37.1960i	1.96587	+	1.96587i
$359$	−3.86794	+	6.69948i	−0.204142	+	0.353585i	−0.949859	−	0.312678i	$-0.898774\pi$
$359$	−3.86794	+	6.69948i	−0.204142	+	0.353585i	0.745717	+	0.666263i	$0.232107\pi$
$360$	31.9080	+	5.79487i	1.68170	+	0.305417i
$361$	4.33925	+	18.4979i	0.228381	+	0.973572i
$362$	−4.49321	+	16.7689i	−0.236158	+	0.881353i
$363$	−6.71519	−	8.04063i	−0.352456	−	0.422023i
$364$	5.72159	−	3.30336i	0.299893	−	0.173143i
$365$	18.0322	+	0.00874283i	0.943848	+	0.000457621i
$366$	−0.404044	+	4.49813i	−0.0211197	+	0.235121i
$367$	7.08815	+	26.4533i	0.369998	+	1.38085i	0.860517	+	0.509422i	$0.170141\pi$
$367$	7.08815	+	26.4533i	0.369998	+	1.38085i	−0.490519	+	0.871431i	$0.663193\pi$
$368$	9.94082	−	9.94082i	0.518201	−	0.518201i
$369$	2.05514	+	0.372209i	0.106986	+	0.0193764i
$370$	−56.2785	−	15.1090i	−2.92578	−	0.785481i
$371$	3.64416	+	2.10396i	0.189196	+	0.109232i
$372$	2.21891	−	1.85314i	0.115045	−	0.0960806i
$373$	9.61879	−	2.57735i	0.498042	−	0.133450i	−0.00104902	−	0.999999i	$-0.500334\pi$
$373$	9.61879	−	2.57735i	0.498042	−	0.133450i	0.499091	+	0.866549i	$0.333667\pi$
$374$	−4.34249			−0.224545
$375$	17.5813	−	8.11770i	0.907896	−	0.419196i
$376$	−13.2059	+	22.8734i	−0.681045	+	1.17960i
$377$	11.0130	−	2.95094i	0.567200	−	0.151981i
$378$	6.38762	+	3.74736i	0.328544	+	0.192743i
$379$		−	23.3566i		−	1.19975i	−0.800094	−	0.599874i	$-0.795217\pi$
$379$		−	23.3566i		−	1.19975i	0.800094	−	0.599874i	$-0.204783\pi$
$380$	31.1333	−	23.0989i	1.59710	−	1.18495i
$381$	−7.95933	+	11.3112i	−0.407769	+	0.579491i
$382$	56.0086	+	15.0075i	2.86565	+	0.767848i
$383$	−4.83454	−	1.29541i	−0.247034	−	0.0661925i	0.133177	−	0.991092i	$-0.457482\pi$
$383$	−4.83454	−	1.29541i	−0.247034	−	0.0661925i	−0.380211	+	0.924900i	$0.624149\pi$
$384$	14.4017	+	31.0723i	0.734932	+	1.58565i
$385$	2.90063	+	0.00140636i	0.147830	+	7.16747e-5i
$386$	−42.1350	+	24.3266i	−2.14461	+	1.23819i
$387$	2.96707	+	35.8259i	0.150825	+	1.82113i
$388$	9.43806	+	9.43806i	0.479145	+	0.479145i
$389$	13.9427	−	24.1495i	0.706925	−	1.22443i	−0.259067	−	0.965859i	$-0.583415\pi$
$389$	13.9427	−	24.1495i	0.706925	−	1.22443i	0.965992	−	0.258571i	$-0.0832517\pi$
$390$	−22.0583	−	15.5377i	−1.11696	−	0.786782i
$391$	−1.45179	+	2.51457i	−0.0734199	+	0.127167i
$392$	−31.1006	+	8.33339i	−1.57082	+	0.420900i
$393$	−3.13243	−	18.0089i	−0.158010	−	0.908428i
$394$			31.2835i			1.57604i
$395$	−8.43053	+	31.4023i	−0.424186	+	1.58002i
$396$	4.73184	−	26.1267i	0.237784	−	1.31292i
$397$	−7.46324	−	27.8532i	−0.374569	−	1.39791i	−0.853973	−	0.520317i	$-0.825814\pi$
$397$	−7.46324	−	27.8532i	−0.374569	−	1.39791i	0.479404	−	0.877594i	$-0.340853\pi$
$398$	35.9016	+	9.61981i	1.79958	+	0.482197i
$399$	4.22061	−	1.24765i	0.211295	−	0.0624605i
$400$	−16.7251	−	9.67788i	−0.836255	−	0.483894i
$401$	16.1101	−	9.30115i	0.804498	−	0.464477i	−0.0405434	−	0.999178i	$-0.512909\pi$
$401$	16.1101	−	9.30115i	0.804498	−	0.464477i	0.845042	+	0.534701i	$0.179576\pi$
$402$	−4.21769	+	11.5049i	−0.210359	+	0.573815i
$403$	−1.15503	+	0.309489i	−0.0575361	+	0.0154167i
$404$	−12.3611	+	21.4100i	−0.614987	+	1.06519i
$405$	1.94949	−	20.0300i	0.0968711	−	0.995297i
$406$	5.70277			0.283024
$407$	−6.13888	+	22.9106i	−0.304293	+	1.13564i
$408$	4.28423	+	5.12985i	0.212101	+	0.253965i
$409$			31.4853i			1.55685i	0.627739	+	0.778424i	$0.283981\pi$
$409$			31.4853i			1.55685i	−0.627739	+	0.778424i	$0.716019\pi$
$410$	−3.29517	−	1.90460i	−0.162737	−	0.0940614i
$411$	1.37779	−	15.3386i	0.0679613	−	0.756598i
$412$	4.78627	+	17.8626i	0.235803	+	0.880028i
$413$	−0.890414	−	3.32307i	−0.0438144	−	0.163518i
$414$	−20.3591	−	17.2448i	−1.00059	−	0.847533i
$415$	2.13860	+	1.23610i	0.104980	+	0.0606780i
$416$		−	0.627361i		−	0.0307589i
$417$	−28.1926	−	10.3353i	−1.38060	−	0.506123i
$418$	−14.1393	−	19.0380i	−0.691577	−	0.931178i
$419$	−8.89002	+	15.3980i	−0.434306	+	0.752239i	−0.997239	−	0.0742631i	$-0.976340\pi$
$419$	−8.89002	+	15.3980i	−0.434306	+	0.752239i	0.562933	+	0.826503i	$0.309673\pi$
$420$	−5.75285	−	6.89513i	−0.280710	−	0.336448i
$421$	−34.2766			−1.67054			−0.835270	−	0.549840i	$-0.814689\pi$
$421$	−34.2766			−1.67054			−0.835270	+	0.549840i	$0.814689\pi$
$422$	0.359014	−	1.33986i	0.0174765	−	0.0652233i
$423$	14.8222	+	6.99553i	0.720679	+	0.340134i
$424$	−30.2209	+	17.4481i	−1.46766	+	0.847353i
$425$	3.85396	+	1.03667i	0.186945	+	0.0502860i
$426$	−51.5158	−	4.62740i	−2.49595	−	0.224198i
$427$	0.439620	−	0.439620i	0.0212747	−	0.0212747i
$428$	3.89454	−	3.89454i	0.188250	−	0.188250i
$429$	−6.32012	+	8.98169i	−0.305138	+	0.433640i
$430$	16.9856	−	63.2684i	0.819119	−	3.05107i
$431$	−13.6084	+	7.85683i	−0.655495	+	0.378450i	−0.790558	−	0.612387i	$-0.790210\pi$
$431$	−13.6084	+	7.85683i	−0.655495	+	0.378450i	0.135063	+	0.990837i	$0.456876\pi$
$432$	−17.4604	+	9.91951i	−0.840063	+	0.477253i
$433$	6.50210	−	24.2662i	0.312471	−	1.16616i	−0.613850	−	0.789423i	$-0.710380\pi$
$433$	6.50210	−	24.2662i	0.312471	−	1.16616i	0.926321	−	0.376735i	$-0.122953\pi$
$434$	−0.598097			−0.0287096
$435$	−6.50992	−	14.0633i	−0.312127	−	0.674286i
$436$	−23.5898	+	40.8587i	−1.12975	+	1.95678i
$437$	−15.7512	+	1.82273i	−0.753482	+	0.0871928i
$438$	−26.2105	+	21.8899i	−1.25239	+	1.04594i
$439$			26.9710i			1.28725i	0.765339	+	0.643627i	$0.222571\pi$
$439$			26.9710i			1.28725i	−0.765339	+	0.643627i	$0.777429\pi$
$440$	−12.0375	+	20.8263i	−0.573867	+	0.992854i
$441$	6.74662	+	18.8070i	0.321268	+	0.895572i
$442$	−1.43919	−	5.37115i	−0.0684555	−	0.255479i
$443$	0.762544	+	2.84585i	0.0362296	+	0.135211i	0.981672	−	0.190579i	$-0.0610365\pi$
$443$	0.762544	+	2.84585i	0.0362296	+	0.135211i	−0.945442	+	0.325790i	$0.894370\pi$
$444$	66.6215	−	30.8783i	3.16172	−	1.46542i
$445$	2.32682	+	8.70069i	0.110302	+	0.412452i
$446$		−	2.36987i		−	0.112217i
$447$	−5.87857	+	1.02251i	−0.278047	+	0.0483629i
$448$	1.24740	−	4.65536i	0.0589341	−	0.219945i
$449$	−6.39698			−0.301892			−0.150946	−	0.988542i	$-0.548232\pi$
$449$	−6.39698			−0.301892			−0.150946	+	0.988542i	$0.548232\pi$
$450$	−15.6847	+	33.1496i	−0.739385	+	1.56269i
$451$	−0.774599	+	1.34164i	−0.0364744	+	0.0631756i
$452$	−73.5654	+	19.7118i	−3.46023	+	0.927165i
$453$	15.1365	−	2.63280i	0.711173	−	0.123700i
$454$	2.07801	−	1.19974i	0.0975259	−	0.0563066i
$455$	0.959591	+	3.58820i	0.0449863	+	0.168217i
$456$	−8.54022	+	35.4855i	−0.399932	+	1.66176i
$457$	21.1123	+	5.65702i	0.987590	+	0.264624i	0.716238	−	0.697856i	$-0.245862\pi$
$457$	21.1123	+	5.65702i	0.987590	+	0.264624i	0.271352	+	0.962480i	$0.412529\pi$
$458$	9.06175	+	33.8189i	0.423428	+	1.58025i
$459$	2.95306	−	2.91228i	0.137837	−	0.135933i
$460$	16.1626	+	28.0258i	0.753583	+	1.30671i
$461$		−	15.9688i		−	0.743742i	−0.928284	−	0.371871i	$-0.878716\pi$
$461$		−	15.9688i		−	0.743742i	0.928284	−	0.371871i	$-0.121284\pi$
$462$	−4.21618	+	3.52118i	−0.196155	+	0.163820i
$463$	6.86197	−	1.83866i	0.318903	−	0.0854497i	−0.0958169	−	0.995399i	$-0.530546\pi$
$463$	6.86197	−	1.83866i	0.318903	−	0.0854497i	0.414720	+	0.909949i	$0.363880\pi$
$464$	−7.73185	+	13.3920i	−0.358942	+	0.621706i
$465$	0.682749	+	1.47494i	0.0316617	+	0.0683986i
$466$	27.4419	−	47.5307i	1.27122	−	2.20182i
$467$	−21.5692	−	21.5692i	−0.998104	−	0.998104i	0.00189416	−	0.999998i	$-0.499397\pi$
$467$	−21.5692	−	21.5692i	−0.998104	−	0.998104i	−0.999998	+	0.00189416i	$0.999397\pi$
$468$	33.8839	−	2.80623i	1.56628	−	0.129718i
$469$	1.46087	−	0.843434i	0.0674567	−	0.0389462i
$470$	−21.1093	−	21.1298i	−0.973699	−	0.974643i
$471$	2.17961	−	3.09749i	0.100431	−	0.142725i
$472$	27.5581	+	7.38418i	1.26847	+	0.339884i
$473$	−25.7562	−	6.90135i	−1.18427	−	0.317324i
$474$	−25.8933	−	55.8660i	−1.18932	−	2.56601i
$475$	8.00375	+	20.2717i	0.367237	+	0.930127i
$476$		−	1.85068i		−	0.0848258i
$477$	12.3384	+	17.7961i	0.564938	+	0.814830i
$478$	44.5564	−	11.9389i	2.03796	−	0.546071i
$479$	−19.9791	+	34.6047i	−0.912866	+	1.58113i	−0.102871	+	0.994695i	$0.532803\pi$
$479$	−19.9791	+	34.6047i	−0.912866	+	1.58113i	−0.809995	+	0.586436i	$0.800530\pi$
$480$	−0.840167	+	0.145717i	−0.0383482	+	0.00665106i
$481$	−30.3723			−1.38486
$482$	−57.0291	+	15.2809i	−2.59760	+	0.696026i
$483$	0.629416	+	3.61862i	0.0286394	+	0.164653i
$484$	−20.8333	−	12.0281i	−0.946968	−	0.546732i
$485$	−6.50040	+	3.74881i	−0.295168	+	0.170225i
$486$	21.4967	+	31.4705i	0.975108	+	1.42753i
$487$	−12.8310	+	12.8310i	−0.581429	+	0.581429i	−0.935296	−	0.353867i	$-0.884867\pi$
$487$	−12.8310	+	12.8310i	−0.581429	+	0.581429i	0.353867	+	0.935296i	$0.384867\pi$
$488$	1.33444	+	4.98019i	0.0604072	+	0.225443i
$489$	16.1598	−	7.48988i	0.730771	−	0.338704i
$490$	0.0176534	−	36.4104i	0.000797500	−	1.64485i
$491$	34.9530	−	20.1801i	1.57741	−	0.910716i	0.582186	−	0.813055i	$-0.302197\pi$
$491$	34.9530	−	20.1801i	1.57741	−	0.910716i	0.995220	−	0.0976606i	$-0.0311360\pi$
$492$	4.72511	−	0.821876i	0.213025	−	0.0370530i
$493$	0.826618	−	3.08498i	0.0372290	−	0.138941i
$494$	18.8616	−	23.7982i	0.848626	−	1.07073i
$495$	13.4963	+	6.37778i	0.606615	+	0.286660i
$496$	0.810903	−	1.40452i	0.0364106	−	0.0630650i
$497$	5.03483	+	5.03483i	0.225843	+	0.225843i
$498$	−4.60870	+	0.801628i	−0.206521	+	0.0359218i
$499$	1.59967	−	0.923570i	0.0716110	−	0.0413446i	−0.463767	−	0.885957i	$-0.653503\pi$
$499$	1.59967	−	0.923570i	0.0716110	−	0.0413446i	0.535378	+	0.844613i	$0.320169\pi$
$500$	31.4895	−	31.3980i	1.40825	−	1.40416i
$501$	21.8649	−	10.1341i	0.976852	−	0.452760i
$502$	−52.5943	−	14.0926i	−2.34740	−	0.628983i
$503$	−18.9989	−	5.09073i	−0.847117	−	0.226984i	−0.190950	−	0.981600i	$-0.561157\pi$
$503$	−18.9989	−	5.09073i	−0.847117	−	0.226984i	−0.656167	+	0.754615i	$0.727823\pi$
$504$	8.31922	+	1.50670i	0.370568	+	0.0671139i
$505$	−9.82316	−	9.83269i	−0.437125	−	0.437549i
$506$	17.1391	−	9.89527i	0.761927	−	0.439898i
$507$	7.93693	+	2.90966i	0.352491	+	0.129222i
$508$	−8.22018	+	30.6781i	−0.364712	+	1.36112i
$509$	24.5884			1.08986			0.544931	−	0.838481i	$-0.316556\pi$
$509$	24.5884			1.08986			0.544931	+	0.838481i	$0.316556\pi$
$510$	−6.85881	+	3.17494i	−0.303713	+	0.140589i
$511$	4.70103			0.207962
$512$	27.0237	+	27.0237i	1.19429	+	1.19429i
$513$	22.3830	+	3.46409i	0.988235	+	0.152943i
$514$		−	33.3786i		−	1.47227i
$515$	−10.3966	−	0.00504075i	−0.458129	−	0.000222122i
$516$	34.7135	+	74.8961i	1.52818	+	3.29712i
$517$	−8.59651	+	8.59651i	−0.378074	+	0.378074i
$518$	−14.6738	−	3.93184i	−0.644731	−	0.172755i
$519$	−1.19525	−	2.57881i	−0.0524655	−	0.113197i
$520$	−29.7491	−	7.98671i	−1.30459	−	0.350241i
$521$			3.12729i			0.137009i	0.997651	+	0.0685044i	$0.0218227\pi$
$521$			3.12729i			0.137009i	−0.997651	+	0.0685044i	$0.978177\pi$
$522$	26.5405	+	12.5261i	1.16165	+	0.548255i
$523$	6.88537	−	25.6966i	0.301076	−	1.12363i	−0.635194	−	0.772352i	$-0.719080\pi$
$523$	6.88537	−	25.6966i	0.301076	−	1.12363i	0.936271	−	0.351280i	$-0.114253\pi$
$524$	−20.9876	−	36.3516i	−0.916849	−	1.58803i
$525$	4.58246	−	2.11852i	0.199995	−	0.0924600i
$526$	66.8088			2.91300
$527$	−0.0866942	+	0.323547i	−0.00377646	+	0.0140939i
$528$	−2.55254	−	14.6750i	−0.111085	−	0.638647i
$529$			9.76723i			0.424662i
$530$	−10.1950	−	38.1221i	−0.442842	−	1.65592i
$531$	3.15518	−	17.4212i	0.136923	−	0.756017i
$532$	8.11359	−	6.02588i	0.351769	−	0.261255i
$533$	−1.91617	−	0.513437i	−0.0829987	−	0.0222394i
$534$	−13.9490	−	9.81543i	−0.603631	−	0.424755i
$535$	1.54692	+	2.68234i	0.0668790	+	0.115968i
$536$			13.9892i			0.604239i
$537$	12.8270	−	34.9893i	0.553526	−	1.50990i
$538$	22.8299	−	6.11724i	0.984266	−	0.263733i
$539$	−14.8205			−0.638364
$540$	−11.6284	−	44.7258i	−0.500405	−	1.92469i
$541$	−7.26759	−	12.5878i	−0.312458	−	0.541193i	0.666436	−	0.745562i	$-0.267819\pi$
$541$	−7.26759	−	12.5878i	−0.312458	−	0.541193i	−0.978894	+	0.204369i	$0.934486\pi$
$542$	−11.4362	+	3.06432i	−0.491226	+	0.131624i
$543$	12.1170	−	2.10760i	0.519989	−	0.0904458i
$544$	−0.152193	−	0.0878684i	−0.00652520	−	0.00376733i
$545$	−18.7465	−	18.7646i	−0.803010	−	0.803789i
$546$	−5.75261	−	4.04792i	−0.246189	−	0.173235i
$547$	−0.629748	−	2.35025i	−0.0269261	−	0.100490i	0.951155	−	0.308713i	$-0.0998984\pi$
$547$	−0.629748	−	2.35025i	−0.0269261	−	0.100490i	−0.978081	+	0.208224i	$0.933232\pi$
$548$	−9.15296	−	34.1593i	−0.390995	−	1.45921i
$549$	3.01160	−	1.08035i	0.128532	−	0.0461081i
$550$	−19.2161	−	19.2534i	−0.819378	−	0.820969i
$551$	16.2164	−	6.42082i	0.690842	−	0.273536i
$552$	−28.5986	−	10.4842i	−1.21724	−	0.446236i
$553$	−2.19389	+	8.18770i	−0.0932936	+	0.348176i
$554$	3.28309	+	5.68648i	0.139485	+	0.241595i
$555$	7.05457	+	40.6748i	0.299450	+	1.72655i
$556$	−68.9526			−2.92424
$557$	5.44111	−	20.3065i	0.230547	−	0.860415i	−0.749558	−	0.661938i	$-0.769734\pi$
$557$	5.44111	−	20.3065i	0.230547	−	0.860415i	0.980106	−	0.198476i	$-0.0635993\pi$
$558$	−2.78352	−	1.31372i	−0.117836	−	0.0556142i
$559$		−	34.1446i		−	1.44416i
$560$	−4.36150	−	2.52093i	−0.184307	−	0.106529i
$561$	1.29368	+	2.79119i	0.0546194	+	0.117844i
$562$	−9.12081	−	34.0393i	−0.384738	−	1.43586i
$563$	9.17285	+	34.2335i	0.386590	+	1.44277i	0.835646	+	0.549269i	$0.185094\pi$
$563$	9.17285	+	34.2335i	0.386590	+	1.44277i	−0.449056	+	0.893503i	$0.648240\pi$
$564$	37.4861	+	3.36718i	1.57845	+	0.141784i
$565$	0.0207598	−	42.8174i	0.000873372	−	1.80134i
$566$	−15.3715	+	8.87473i	−0.646112	+	0.373033i
$567$	0.505705	−	5.22210i	0.0212376	−	0.219308i
$568$	−57.0367	+	15.2829i	−2.39321	+	0.641258i
$569$	−9.86804	−	17.0919i	−0.413690	−	0.716531i	0.581600	−	0.813475i	$-0.302427\pi$
$569$	−9.86804	−	17.0919i	−0.413690	−	0.716531i	−0.995290	+	0.0969433i	$0.969093\pi$
$570$	−36.2518	−	19.7321i	−1.51842	−	0.826485i
$571$	5.45069	−	9.44086i	0.228104	−	0.395088i	−0.729142	−	0.684362i	$-0.760081\pi$
$571$	5.45069	−	9.44086i	0.228104	−	0.395088i	0.957246	+	0.289274i	$0.0934140\pi$
$572$	−6.52725	+	24.3600i	−0.272918	+	1.01854i
$573$	−7.03945	−	40.4711i	−0.294077	−	1.69070i
$574$	−0.859299	−	0.496116i	−0.0358664	−	0.0207075i
$575$	−17.5732	+	4.69048i	−0.732855	+	0.195606i
$576$	16.0309	−	18.9260i	0.667953	−	0.788581i
$577$	25.5775	−	25.5775i	1.06480	−	1.06480i	0.0670554	−	0.997749i	$-0.478640\pi$
$577$	25.5775	−	25.5775i	1.06480	−	1.06480i	0.997749	−	0.0670554i	$-0.0213604\pi$
$578$	38.6419	+	10.3541i	1.60729	+	0.430672i
$579$	28.1888	+	19.8355i	1.17148	+	0.824336i
$580$	−25.1510	−	25.1754i	−1.04434	−	1.04535i
$581$	0.557694	+	0.321985i	0.0231371	+	0.0133582i
$582$	4.89132	−	13.3425i	0.202752	−	0.553063i
$583$	−15.5153	+	4.15730i	−0.642576	+	0.172178i
$584$	−19.4928	+	33.7625i	−0.806617	+	1.39710i
$585$	−3.41559	+	18.8071i	−0.141217	+	0.777577i
$586$	−16.9128	+	29.2939i	−0.698662	+	1.21012i
$587$	14.8479	+	14.8479i	0.612840	+	0.612840i	0.943685	−	0.330845i	$-0.107334\pi$
$587$	14.8479	+	14.8479i	0.612840	+	0.612840i	−0.330845	+	0.943685i	$0.607334\pi$
$588$	29.4107	+	35.2158i	1.21288	+	1.45227i
$589$	−1.70075	+	0.673404i	−0.0700781	+	0.0277471i
$590$	−16.1451	+	27.9328i	−0.664682	+	1.14998i
$591$	20.1078	−	9.31975i	0.827126	−	0.383363i
$592$	29.1281	−	29.1281i	1.19716	−	1.19716i
$593$	0.783759	+	0.210008i	0.0321851	+	0.00862398i	0.274876	−	0.961480i	$-0.411363\pi$
$593$	0.783759	+	0.210008i	0.0321851	+	0.00862398i	−0.242691	+	0.970104i	$0.578030\pi$
$594$	−27.3562	+	7.12656i	−1.12244	+	0.292406i
$595$	1.00487	+	0.269776i	0.0411956	+	0.0110597i
$596$	−11.8661	+	6.85090i	−0.486055	+	0.280624i
$597$	−4.51230	−	25.9420i	−0.184676	−	1.06174i
$598$	17.9195	+	17.9195i	0.732784	+	0.732784i
$599$	7.05074			0.288086			0.144043	−	0.989571i	$-0.453990\pi$
$599$	7.05074			0.288086			0.144043	+	0.989571i	$0.453990\pi$
$600$	−3.78604	+	41.6954i	−0.154564	+	1.70221i
$601$	−4.48648	−	7.77081i	−0.183007	−	0.316978i	0.759896	−	0.650045i	$-0.225250\pi$
$601$	−4.48648	−	7.77081i	−0.183007	−	0.316978i	−0.942903	+	0.333067i	$0.891917\pi$
$602$	4.42019	−	16.4964i	0.180153	−	0.672342i
$603$	8.65144	−	0.716504i	0.352314	−	0.0291783i
$604$	30.5535	−	17.6401i	1.24321	−	0.717765i
$605$	9.56782	−	9.55855i	0.388987	−	0.388610i
$606$	26.2157	+	2.35482i	1.06494	+	0.0956582i
$607$	−4.16665	−	15.5502i	−0.169119	−	0.631162i	−0.997479	−	0.0709649i	$-0.977392\pi$
$607$	−4.16665	−	15.5502i	−0.169119	−	0.631162i	0.828360	−	0.560197i	$-0.189274\pi$
$608$	−0.110319	−	0.953332i	−0.00447404	−	0.0386627i
$609$	−1.69893	−	3.66552i	−0.0688440	−	0.148534i
$610$	−5.83045	−	0.00282687i	−0.236068	−	0.000114457i
$611$	−13.4819	−	7.78379i	−0.545420	−	0.314899i
$612$	4.06502	−	8.61299i	0.164319	−	0.348160i
$613$	−16.6179	+	4.45276i	−0.671192	+	0.179845i	−0.578292	−	0.815830i	$-0.696280\pi$
$613$	−16.6179	+	4.45276i	−0.671192	+	0.179845i	−0.0929001	+	0.995675i	$0.529614\pi$
$614$	−4.05794	+	7.02855i	−0.163765	+	0.283649i
$615$	−0.242529	+	2.68541i	−0.00977972	+	0.108286i
$616$	−3.13558	+	5.43098i	−0.126336	+	0.218820i
$617$	30.8059	+	30.8059i	1.24020	+	1.24020i	0.959919	+	0.280279i	$0.0904269\pi$
$617$	30.8059	+	30.8059i	1.24020	+	1.24020i	0.280279	+	0.959919i	$0.409573\pi$
$618$	15.1119	−	12.6208i	0.607889	−	0.507683i
$619$	−40.3237	+	23.2809i	−1.62074	+	0.935738i	−0.634024	+	0.773313i	$0.718598\pi$
$619$	−40.3237	+	23.2809i	−1.62074	+	0.935738i	−0.986721	+	0.162424i	$0.948069\pi$
$620$	2.63780	+	2.64035i	0.105936	+	0.106039i
$621$	−5.01904	+	18.2234i	−0.201407	+	0.731282i
$622$	19.9704	+	74.5307i	0.800741	+	2.98841i
$623$	0.607708	+	2.26800i	0.0243473	+	0.0908653i
$624$	17.3052	−	8.02079i	0.692764	−	0.321088i
$625$	12.4580	+	21.6748i	0.498320	+	0.866993i
$626$	22.0126	+	12.7090i	0.879799	+	0.507952i
$627$	−8.02460	+	14.7599i	−0.320471	+	0.589452i
$628$	2.25104	−	8.40099i	0.0898262	−	0.335236i
$629$	−4.25395	+	7.36806i	−0.169616	+	0.293784i
$630$	−4.08485	+	8.64415i	−0.162744	+	0.344391i
$631$	21.1276	+	36.5941i	0.841078	+	1.45679i	0.888985	+	0.457937i	$0.151412\pi$
$631$	21.1276	+	36.5941i	0.841078	+	1.45679i	−0.0479070	+	0.998852i	$0.515255\pi$
$632$	−49.7065	−	49.7065i	−1.97722	−	1.97722i
$633$	−0.968164	+	0.168400i	−0.0384811	+	0.00669331i
$634$	−44.5886	−	25.7433i	−1.77084	−	1.02240i
$635$	−15.4591	−	8.93532i	−0.613476	−	0.354587i
$636$	40.6678	+	28.6166i	1.61258	+	1.13472i
$637$	−4.91183	−	18.3312i	−0.194614	−	0.726309i
$638$	−15.3928	+	15.3928i	−0.609409	+	0.609409i
$639$	12.3729	+	34.4909i	0.489464	+	1.36444i
$640$	−38.3007	+	22.0881i	−1.51397	+	0.873110i
$641$		−	5.59479i		−	0.220981i	−0.993877	−	0.110490i	$-0.964758\pi$
$641$		−	5.59479i		−	0.220981i	0.993877	−	0.110490i	$-0.0352422\pi$
$642$	−5.50567	−	2.01836i	−0.217291	−	0.0796585i
$643$	5.27878	−	19.7007i	0.208175	−	0.776918i	−0.780284	−	0.625426i	$-0.784925\pi$
$643$	5.27878	−	19.7007i	0.208175	−	0.776918i	0.988458	−	0.151493i	$-0.0484080\pi$
$644$	4.21716	+	7.30433i	0.166179	+	0.287831i
$645$	−45.7267	+	7.93077i	−1.80049	+	0.312274i
$646$	−3.13149	−	7.90887i	−0.123207	−	0.311170i
$647$	33.9856	+	33.9856i	1.33611	+	1.33611i	0.899793	+	0.436317i	$0.143718\pi$
$647$	33.9856	+	33.9856i	1.33611	+	1.33611i	0.436317	+	0.899793i	$0.356282\pi$
$648$	35.4079	+	25.2853i	1.39095	+	0.993301i
$649$	11.3730	+	6.56619i	0.446428	+	0.257746i
$650$	17.4456	−	30.1491i	0.684271	−	1.18254i
$651$	0.178181	+	0.384433i	0.00698345	+	0.0150671i
$652$	28.9208	−	28.9208i	1.13263	−	1.13263i
$653$	9.09509	+	33.9434i	0.355919	+	1.32831i	0.879325	+	0.476223i	$0.157994\pi$
$653$	9.09509	+	33.9434i	0.355919	+	1.32831i	−0.523406	+	0.852083i	$0.675339\pi$
$654$	50.0299	+	4.49393i	1.95633	+	0.175727i
$655$	22.7973	−	6.09668i	0.890765	−	0.238217i
$656$	2.33008	−	1.34527i	0.0909745	−	0.0525241i
$657$	21.8784	+	10.3258i	0.853559	+	0.402849i
$658$	−5.50591	−	5.50591i	−0.214643	−	0.214643i
$659$	−4.85837	+	8.41494i	−0.189255	+	0.327800i	−0.945002	−	0.327064i	$-0.893941\pi$
$659$	−4.85837	+	8.41494i	−0.189255	+	0.327800i	0.755747	+	0.654864i	$0.227274\pi$
$660$	34.1393	+	3.08324i	1.32887	+	0.120015i
$661$	−19.1245			−0.743856			−0.371928	−	0.928262i	$-0.621303\pi$
$661$	−19.1245			−0.743856			−0.371928	+	0.928262i	$0.621303\pi$
$662$	3.05203	−	11.3903i	0.118621	−	0.442698i
$663$	−3.02361	+	2.52519i	−0.117427	+	0.0980703i
$664$	−4.62494	+	2.67021i	−0.179483	+	0.103624i
$665$	2.08916	+	5.28385i	0.0810141	+	0.204899i
$666$	−59.6551	−	50.5297i	−2.31159	−	1.95799i
$667$	3.76724	+	14.0595i	0.145868	+	0.544387i
$668$	39.1312	−	39.1312i	1.51403	−	1.51403i
$669$	−1.52326	+	0.706014i	−0.0588927	+	0.0272961i
$670$	−15.2784	−	4.10178i	−0.590257	−	0.158466i
$671$			2.37323i			0.0916175i
$672$	−0.219015	+	0.0380950i	−0.00844869	+	0.00146955i
$673$	−13.1759	+	49.1731i	−0.507893	+	1.89548i	−0.0674007	+	0.997726i	$0.521471\pi$
$673$	−13.1759	+	49.1731i	−0.507893	+	1.89548i	−0.440492	+	0.897756i	$0.645196\pi$
$674$	−38.2750	−	66.2942i	−1.47430	−	2.55356i
$675$	25.9799	+	0.205860i	0.999969	+	0.00792354i
$676$	19.4119			0.746612
$677$	−10.7433	+	40.0945i	−0.412898	+	1.54096i	0.376111	+	0.926575i	$0.377261\pi$
$677$	−10.7433	+	40.0945i	−0.412898	+	1.54096i	−0.789009	+	0.614382i	$0.789405\pi$
$678$	51.9775	+	62.2368i	1.99618	+	2.39019i
$679$	−1.69420	+	0.978144i	−0.0650173	+	0.0375377i
$680$	−6.10418	+	6.09827i	−0.234085	+	0.233858i
$681$	−1.39021	−	0.978248i	−0.0532731	−	0.0374865i
$682$	1.61437	−	1.61437i	0.0618176	−	0.0618176i
$683$	−0.131636	+	0.131636i	−0.00503690	+	0.00503690i	−0.709621	−	0.704584i	$-0.751134\pi$
$683$	−0.131636	+	0.131636i	−0.00503690	+	0.00503690i	0.704584	+	0.709621i	$0.251134\pi$
$684$	50.9962	−	10.2227i	1.94989	−	0.390875i
$685$	19.8818	+	0.00963960i	0.759644	+	0.000368310i
$686$		−	19.4689i		−	0.743325i
$687$	19.0379	−	15.8996i	0.726341	−	0.606609i
$688$	32.7459	+	32.7459i	1.24843	+	1.24843i
$689$	−10.2842	−	17.8127i	−0.391796	−	0.678610i
$690$	19.8358	−	28.1602i	0.755137	−	1.07204i
$691$	−15.6601	−	27.1241i	−0.595738	−	1.03185i	−0.993442	−	0.114335i	$-0.963526\pi$
$691$	−15.6601	−	27.1241i	−0.595738	−	1.03185i	0.397704	−	0.917514i	$-0.369807\pi$
$692$	−4.61524	−	4.61524i	−0.175445	−	0.175445i
$693$	3.51933	+	1.66100i	0.133688	+	0.0630960i
$694$	−50.6335	+	29.2333i	−1.92202	+	1.10968i
$695$	10.0513	−	37.4394i	0.381268	−	1.42016i
$696$	33.3701	+	2.99746i	1.26489	+	0.113619i
$697$	−0.392935	+	0.392935i	−0.0148835	+	0.0148835i
$698$	6.04629	+	1.62010i	0.228855	+	0.0613216i
$699$	−38.7262	−	3.47857i	−1.46476	−	0.131572i
$700$	8.20541	−	8.18951i	0.310135	−	0.309534i
$701$	−37.8419	−	21.8481i	−1.42927	−	0.825190i	−0.432207	−	0.901774i	$-0.642265\pi$
$701$	−37.8419	−	21.8481i	−1.42927	−	0.825190i	−0.997063	+	0.0765848i	$0.975598\pi$
$702$	−17.8811	−	31.4745i	−0.674880	−	1.18793i
$703$	−46.1534	+	5.34086i	−1.74071	+	0.201435i
$704$	9.19872	+	15.9327i	0.346690	+	0.600485i
$705$	−7.29267	+	19.8631i	−0.274658	+	0.748086i
$706$	31.9275	+	55.3001i	1.20161	+	2.08125i
$707$	−2.56216	−	2.56216i	−0.0963600	−	0.0963600i
$708$	−6.96696	−	40.0543i	−0.261834	−	1.50533i
$709$	2.86940	+	1.65665i	0.107763	+	0.0622168i	0.552913	−	0.833239i	$-0.313516\pi$
$709$	2.86940	+	1.65665i	0.107763	+	0.0622168i	−0.445150	+	0.895456i	$0.646850\pi$
$710$	0.0323753	−	66.7744i	0.00121502	−	2.50600i
$711$	−28.1946	+	33.2864i	−1.05738	+	1.24834i
$712$	−18.8084	−	5.03970i	−0.704876	−	0.188871i
$713$	−0.395101	−	1.47454i	−0.0147967	−	0.0552219i
$714$	−1.78770	+	0.828581i	−0.0669032	+	0.0310089i
$715$	−12.2753	−	7.09511i	−0.459072	−	0.265342i
$716$		−	85.5760i		−	3.19812i
$717$	−20.9478	−	25.0824i	−0.782308	−	0.936720i
$718$	18.2687	−	4.89510i	0.681783	−	0.182683i
$719$	9.88208	−	17.1163i	0.368539	−	0.638329i	−0.620798	−	0.783971i	$-0.713191\pi$
$719$	9.88208	−	17.1163i	0.368539	−	0.638329i	0.989337	+	0.145642i	$0.0465247\pi$
$720$	−14.7610	−	21.3123i	−0.550110	−	0.794264i
$721$	−2.71042			−0.100941
$722$	24.4771	−	39.4803i	0.910944	−	1.46931i
$723$	26.8117	+	32.1037i	0.997136	+	1.19395i
$724$	24.4586	−	14.1212i	0.908995	−	0.524809i
$725$	17.3359	−	9.98646i	0.643837	−	0.370888i
$726$	−2.29139	+	25.5095i	−0.0850415	+	0.946748i
$727$	26.0320	−	26.0320i	0.965473	−	0.965473i	−0.0339506	−	0.999424i	$-0.510809\pi$
$727$	26.0320	−	26.0320i	0.965473	−	0.965473i	0.999424	+	0.0339506i	$0.0108089\pi$
$728$	−7.75667	−	2.07839i	−0.287481	−	0.0770304i
$729$	13.8239	−	23.1927i	0.511996	−	0.858988i
$730$	−31.1586	−	31.1888i	−1.15323	−	1.15435i
$731$	−8.28319	−	4.78230i	−0.306365	−	0.176880i
$732$	5.63916	−	4.70958i	0.208429	−	0.174071i
$733$	12.0921	−	3.24008i	0.446633	−	0.119675i	−0.0284903	−	0.999594i	$-0.509070\pi$
$733$	12.0921	−	3.24008i	0.446633	−	0.119675i	0.475124	+	0.879919i	$0.342403\pi$
$734$	33.4781	−	57.9858i	1.23570	−	2.14030i
$735$	−23.4084	+	10.8358i	−0.863433	+	0.399683i
$736$	0.800906			0.0295218
$737$	−1.66658	+	6.21975i	−0.0613891	+	0.229107i
$738$	−2.90942	−	4.19636i	−0.107097	−	0.154470i
$739$	−36.2577	−	20.9334i	−1.33376	−	0.770047i	−0.347886	−	0.937537i	$-0.613100\pi$
$739$	−36.2577	−	20.9334i	−1.33376	−	0.770047i	−0.985874	+	0.167490i	$0.946434\pi$
$740$	47.3587	+	82.1197i	1.74094	+	3.01878i
$741$	−20.9157	−	5.03374i	−0.768358	−	0.184919i
$742$	−2.66267	−	9.93724i	−0.0977498	−	0.364807i
$743$	−19.9053	−	5.33361i	−0.730255	−	0.195671i	−0.125512	−	0.992092i	$-0.540057\pi$
$743$	−19.9053	−	5.33361i	−0.730255	−	0.195671i	−0.604743	+	0.796421i	$0.706724\pi$
$744$	−3.49980	−	0.314369i	−0.128309	−	0.0115253i
$745$	−1.99011	−	7.44163i	−0.0729121	−	0.272640i
$746$	−21.0844	−	12.1731i	−0.771956	−	0.445689i
$747$	1.88825	+	2.72348i	0.0690873	+	0.0996469i
$748$	4.99533	+	4.99533i	0.182647	+	0.182647i
$749$	0.403623	+	0.699096i	0.0147481	+	0.0255444i
$750$	−44.4280	−	16.3605i	−1.62228	−	0.597402i
$751$	−44.5188			−1.62452			−0.812258	−	0.583299i	$-0.801762\pi$
$751$	−44.5188			−1.62452			−0.812258	+	0.583299i	$0.801762\pi$
$752$	20.3946	−	5.46471i	0.743714	−	0.199278i
$753$	6.61032	+	38.0039i	0.240893	+	1.38494i
$754$	−24.1406	−	13.9376i	−0.879150	−	0.507578i
$755$	5.12425	+	19.1611i	0.186491	+	0.697345i
$756$	−3.03719	−	11.6586i	−0.110462	−	0.424021i
$757$	13.5741	+	50.6592i	0.493359	+	1.84124i	0.539033	+	0.842285i	$0.318790\pi$
$757$	13.5741	+	50.6592i	0.493359	+	1.84124i	−0.0456740	+	0.998956i	$0.514544\pi$
$758$	−40.3784	+	40.3784i	−1.46661	+	1.46661i
$759$	−11.4663	−	8.06843i	−0.416199	−	0.292866i
$760$	−46.6109	−	6.90525i	−1.69076	−	0.250480i
$761$	29.5156	+	17.0408i	1.06994	+	0.617729i	0.928165	−	0.372170i	$-0.121386\pi$
$761$	29.5156	+	17.0408i	1.06994	+	0.617729i	0.141774	+	0.989899i	$0.454719\pi$
$762$	33.3145	−	5.79466i	1.20686	−	0.209918i
$763$	−4.88961	−	4.88961i	−0.177016	−	0.177016i
$764$	−47.1651	−	81.6924i	−1.70637	−	2.95553i
$765$	4.08405	+	3.46272i	0.147659	+	0.125195i
$766$	6.11838	+	10.5973i	0.221066	+	0.382898i
$767$	−4.35235	+	16.2432i	−0.157154	+	0.586508i
$768$	18.9621	−	51.7246i	0.684236	−	1.86645i
$769$		−	13.2758i		−	0.478739i	−0.970929	−	0.239369i	$-0.923059\pi$
$769$		−	13.2758i		−	0.478739i	0.970929	−	0.239369i	$-0.0769407\pi$
$770$	−5.01212	−	5.01698i	−0.180624	−	0.180799i
$771$	−21.4545	+	9.94390i	−0.772664	+	0.358121i
$772$	76.4532	+	20.4856i	2.75161	+	0.737292i
$773$	−17.5856	−	4.71205i	−0.632511	−	0.169481i	−0.0717020	−	0.997426i	$-0.522843\pi$
$773$	−17.5856	−	4.71205i	−0.632511	−	0.169481i	−0.560809	+	0.827945i	$0.689510\pi$
$774$	56.8057	−	67.0645i	2.04184	−	2.41058i
$775$	−1.81815	+	1.04736i	−0.0653100	+	0.0376224i
$776$		−	16.2234i		−	0.582388i
$777$	1.84428	+	10.6031i	0.0661633	+	0.380385i
$778$	−65.8532	+	17.6453i	−2.36095	+	0.632615i
$779$	−3.00208	−	0.443261i	−0.107561	−	0.0158815i
$780$	7.50087	+	43.2480i	0.268574	+	1.54853i
$781$	−27.1799			−0.972574
$782$	6.85695	−	1.83731i	0.245204	−	0.0657022i
$783$	0.144581	−	20.7909i	0.00516689	−	0.743006i
$784$	22.2909	+	12.8697i	0.796104	+	0.459631i
$785$	4.23337	+	2.44687i	0.151095	+	0.0873326i
$786$	−25.7181	+	36.5487i	−0.917335	+	1.30365i
$787$	−11.0388	−	41.1974i	−0.393491	−	1.46853i	−0.824335	−	0.566102i	$-0.808451\pi$
$787$	−11.0388	−	41.1974i	−0.393491	−	1.46853i	0.430844	−	0.902426i	$-0.358216\pi$
$788$	35.9866	−	35.9866i	1.28197	−	1.28197i
$789$	−19.9032	−	42.9421i	−0.708572	−	1.52878i
$790$	68.8621	−	39.7130i	2.45000	−	1.41293i
$791$		−	11.1626i		−	0.396896i
$792$	−26.5220	+	18.3883i	−0.942418	+	0.653398i
$793$	−2.93540	+	0.786539i	−0.104239	+	0.0279308i
$794$	−35.2497	+	61.0543i	−1.25097	+	2.16674i
$795$	−21.4662	+	17.9100i	−0.761328	+	0.635202i
$796$	−30.2329	−	52.3650i	−1.07158	−	1.85603i
$797$	46.5500	−	12.4730i	1.64889	−	0.441818i	0.689586	−	0.724204i	$-0.257793\pi$
$797$	46.5500	−	12.4730i	1.64889	−	0.441818i	0.959301	+	0.282386i	$0.0911260\pi$
$798$	−9.45342	−	5.13961i	−0.334647	−	0.181940i
$799$	−3.77657	+	2.18040i	−0.133605	+	0.0771371i
$800$	−0.283888	−	1.06361i	−0.0100370	−	0.0376043i
$801$	−2.15341	+	11.8900i	−0.0760869	+	0.420112i
$802$	−43.9304	−	11.7711i	−1.55124	−	0.415652i
$803$	−12.6890	+	12.6890i	−0.447784	+	0.447784i
$804$	18.0863	−	8.38281i	0.637856	−	0.295639i
$805$	−4.58079	+	1.22504i	−0.161452	+	0.0431769i
$806$	2.53183	+	1.46175i	0.0891798	+	0.0514880i
$807$	−10.7332	−	12.8518i	−0.377828	−	0.452403i
$808$	29.0252	−	7.77729i	1.02110	−	0.273604i
$809$	−7.25562			−0.255094			−0.127547	−	0.991833i	$-0.540710\pi$
$809$	−7.25562			−0.255094			−0.127547	+	0.991833i	$0.540710\pi$
$810$	−37.9976	+	31.2572i	−1.33510	+	1.09826i
$811$	3.46447	+	6.00065i	0.121654	+	0.210711i	0.920420	−	0.390931i	$-0.127847\pi$
$811$	3.46447	+	6.00065i	0.121654	+	0.210711i	−0.798766	+	0.601642i	$0.794513\pi$
$812$	−6.56011	−	6.56011i	−0.230215	−	0.230215i
$813$	5.37661	+	6.43784i	0.188566	+	0.225785i
$814$	50.2202	−	28.9946i	1.76022	−	1.01626i
$815$	11.4874	+	19.9190i	0.402386	+	0.697733i
$816$	0.478003	−	5.32150i	0.0167335	−	0.186290i
$817$	−6.00422	−	51.8858i	−0.210061	−	1.81525i
$818$	54.4312	−	54.4312i	1.90314	−	1.90314i
$819$	−0.888074	+	4.90348i	−0.0310318	+	0.171341i
$820$	1.59963	+	5.98148i	0.0558614	+	0.208882i
$821$	17.5513	+	10.1332i	0.612544	+	0.353653i	0.773961	−	0.633234i	$-0.218273\pi$
$821$	17.5513	+	10.1332i	0.612544	+	0.353653i	−0.161416	+	0.986886i	$0.551606\pi$
$822$	−28.8990	+	24.1352i	−1.00797	+	0.841811i
$823$	18.9573	+	18.9573i	0.660810	+	0.660810i	0.955571	−	0.294761i	$-0.0952400\pi$
$823$	18.9573	+	18.9573i	0.660810	+	0.660810i	−0.294761	+	0.955571i	$0.595240\pi$
$824$	11.2387	−	19.4660i	0.391519	−	0.678131i
$825$	−6.65063	+	18.0872i	−0.231545	+	0.629716i
$826$	−4.20553	+	7.28418i	−0.146329	+	0.253449i
$827$	−4.86296	+	18.1488i	−0.169102	+	0.631096i	0.828380	+	0.560167i	$0.189263\pi$
$827$	−4.86296	+	18.1488i	−0.169102	+	0.631096i	−0.997481	+	0.0709292i	$0.977404\pi$
$828$	3.58251	+	43.2571i	0.124501	+	1.50329i
$829$			12.8197i			0.445248i	0.974904	+	0.222624i	$0.0714622\pi$
$829$			12.8197i			0.445248i	−0.974904	+	0.222624i	$0.928538\pi$
$830$	−1.56022	−	5.83412i	−0.0541559	−	0.202505i
$831$	2.67698	−	3.80432i	0.0928633	−	0.131970i
$832$	−16.6581	+	16.6581i	−0.577517	+	0.577517i
$833$	−5.13495	−	1.37591i	−0.177915	−	0.0476723i
$834$	30.8713	+	66.6063i	1.06898	+	2.30639i
$835$	15.5429	+	26.9513i	0.537886	+	0.932689i
$836$	−5.63511	+	38.1651i	−0.194895	+	1.31997i
$837$	−0.0151634	+	2.18051i	−0.000524123	+	0.0753695i
$838$	41.9886	−	11.2508i	1.45047	−	0.388652i
$839$	32.2827			1.11452			0.557262	−	0.830337i	$-0.311852\pi$
$839$	32.2827			1.11452			0.557262	+	0.830337i	$0.311852\pi$
$840$	−0.981759	+	10.8705i	−0.0338739	+	0.375070i
$841$	6.49478	+	11.2493i	0.223958	+	0.387906i
$842$	59.2567	+	59.2567i	2.04212	+	2.04212i
$843$	−19.1620	+	16.0033i	−0.659973	+	0.551181i
$844$	−1.95428	+	1.12830i	−0.0672689	+	0.0388377i
$845$	−2.82970	+	10.5401i	−0.0973446	+	0.362592i
$846$	−13.5305	−	37.7180i	−0.465190	−	1.29677i
$847$	2.49314	−	2.49314i	0.0856654	−	0.0856654i
$848$	26.9459	+	7.22013i	0.925326	+	0.247940i
$849$	10.2837	+	7.23630i	0.352936	+	0.248349i
$850$	−4.87048	−	8.45483i	−0.167056	−	0.289998i
$851$		−	38.7740i		−	1.32916i
$852$	53.9375	+	64.5836i	1.84787	+	2.21260i
$853$	−31.1991	−	31.1991i	−1.06824	−	1.06824i	−0.997495	−	0.0707429i	$-0.977463\pi$
$853$	−31.1991	−	31.1991i	−1.06824	−	1.06824i	−0.0707429	−	0.997495i	$-0.522537\pi$
$854$	−1.52001			−0.0520137
$855$	−1.88313	+	29.1797i	−0.0644017	+	0.997924i
$856$	−6.69448			−0.228812
$857$	−1.86333	−	1.86333i	−0.0636500	−	0.0636500i	0.674565	−	0.738215i	$-0.264331\pi$
$857$	−1.86333	−	1.86333i	−0.0636500	−	0.0636500i	−0.738215	+	0.674565i	$0.764331\pi$
$858$	26.4535	−	4.60126i	0.903106	−	0.157084i
$859$			43.9066i			1.49807i	0.662528	+	0.749037i	$0.269484\pi$
$859$			43.9066i			1.49807i	−0.662528	+	0.749037i	$0.730516\pi$
$860$	−92.3192	+	53.2408i	−3.14806	+	1.81550i
$861$	−0.0628885	+	0.700123i	−0.00214323	+	0.0238601i
$862$	37.1087	+	9.94325i	1.26393	+	0.338668i
$863$	−3.50699	+	3.50699i	−0.119379	+	0.119379i	−0.764273	−	0.644893i	$-0.776902\pi$
$863$	−3.50699	+	3.50699i	−0.119379	+	0.119379i	0.644893	+	0.764273i	$0.276902\pi$
$864$	−1.10296	−	0.303774i	−0.0375236	−	0.0103346i
$865$	3.17871	−	1.83318i	0.108080	−	0.0623299i
$866$	−53.1916	+	30.7102i	−1.80752	+	1.04357i
$867$	−4.85672	−	27.9221i	−0.164943	−	0.948285i
$868$	0.688013	+	0.688013i	0.0233527	+	0.0233527i
$869$	−16.1784	−	28.0218i	−0.548815	−	0.950576i
$870$	−13.0582	+	35.5666i	−0.442715	+	1.20582i
$871$	−8.24543			−0.279386
$872$	55.3916	−	14.8421i	1.87579	−	0.502618i
$873$	−10.0332	+	0.830942i	−0.339573	+	0.0281231i
$874$	30.3814	+	24.0793i	1.02767	+	0.814493i
$875$	3.25056	+	5.64910i	0.109889	+	0.190975i
$876$	55.3317	+	4.97016i	1.86948	+	0.167926i
$877$	−26.7363	−	7.16396i	−0.902820	−	0.241910i	−0.222593	−	0.974911i	$-0.571452\pi$
$877$	−26.7363	−	7.16396i	−0.902820	−	0.241910i	−0.680227	+	0.733002i	$0.738119\pi$
$878$	46.6268	−	46.6268i	1.57358	−	1.57358i
$879$	23.8675	+	2.14389i	0.805031	+	0.0723118i
$880$	18.5770	−	4.96803i	0.626229	−	0.167472i
$881$		−	3.31384i		−	0.111646i	−0.998441	−	0.0558230i	$-0.982222\pi$
$881$		−	3.31384i		−	0.111646i	0.998441	−	0.0558230i	$-0.0177783\pi$
$882$	20.8498	−	44.1766i	0.702048	−	1.48750i
$883$	−1.95693	+	7.30334i	−0.0658558	+	0.245777i	−0.991005	−	0.133827i	$-0.957273\pi$
$883$	−1.95693	+	7.30334i	−0.0658558	+	0.245777i	0.925149	+	0.379604i	$0.123940\pi$
$884$	−4.52307	+	7.83419i	−0.152127	+	0.263492i
$885$	22.7639	+	2.05589i	0.765202	+	0.0691081i
$886$	3.60158	−	6.23813i	0.120998	−	0.209574i
$887$	−3.38157	−	3.38157i	−0.113542	−	0.113542i	0.648053	−	0.761595i	$-0.275583\pi$
$887$	−3.38157	−	3.38157i	−0.113542	−	0.113542i	−0.761595	+	0.648053i	$0.775583\pi$
$888$	−83.7981	−	30.7202i	−2.81208	−	1.03090i
$889$	−4.03135	−	2.32750i	−0.135207	−	0.0780619i
$890$	11.0190	−	19.0641i	0.369358	−	0.639032i
$891$	12.7304	+	15.4604i	0.426486	+	0.517944i
$892$	−2.72615	+	2.72615i	−0.0912782	+	0.0912782i
$893$	−21.8558	−	9.45742i	−0.731375	−	0.316481i
$894$	11.9304	+	8.39506i	0.399013	+	0.280773i
$895$	46.4654	+	12.4745i	1.55317	+	0.416977i
$896$	−9.98227	+	5.76327i	−0.333484	+	0.192537i
$897$	6.17953	−	16.8564i	0.206328	−	0.562820i
$898$	11.0590	+	11.0590i	0.369042	+	0.369042i
$899$	0.839573	+	1.45418i	0.0280013	+	0.0484997i
$900$	56.1759	−	20.0905i	1.87253	−	0.669682i
$901$	−5.76162			−0.191947
$902$	3.65852	−	0.980297i	0.121815	−	0.0326403i
$903$	−11.9201	+	2.07335i	−0.396675	+	0.0689967i
$904$	80.1689	+	46.2855i	2.66638	+	1.53943i
$905$	4.10204	+	15.3388i	0.136357	+	0.509878i
$906$	−30.7191	−	21.6161i	−1.02058	−	0.718146i
$907$	−12.0522	+	12.0522i	−0.400187	+	0.400187i	−0.878299	−	0.478112i	$-0.841321\pi$
$907$	−12.0522	+	12.0522i	−0.400187	+	0.400187i	0.478112	+	0.878299i	$0.341321\pi$
$908$	−3.77052	−	1.01031i	−0.125129	−	0.0335282i
$909$	−6.29641	−	17.5520i	−0.208839	−	0.582163i
$910$	4.54429	−	7.86213i	0.150642	−	0.260627i
$911$	−0.850414	+	0.490987i	−0.0281755	+	0.0162671i	−0.514022	−	0.857777i	$-0.671845\pi$
$911$	−0.850414	+	0.490987i	−0.0281755	+	0.0162671i	0.485846	+	0.874044i	$0.338512\pi$
$912$	24.8865	−	15.2314i	0.824073	−	0.504361i
$913$	−2.37442	+	0.636223i	−0.0785818	+	0.0210559i
$914$	−26.7187	−	46.2782i	−0.883777	−	1.53075i
$915$	1.73515	+	3.74843i	0.0573622	+	0.123919i
$916$	28.4791	−	49.3272i	0.940976	−	1.62982i
$917$	5.94254	−	1.59230i	0.196240	−	0.0525823i
$918$	−10.1399	−	0.0705132i	−0.334666	−	0.00232728i
$919$			39.3803i			1.29904i	0.760347	+	0.649518i	$0.225029\pi$
$919$			39.3803i			1.29904i	−0.760347	+	0.649518i	$0.774971\pi$
$920$	10.1960	−	37.9785i	0.336154	−	1.25211i
$921$	5.72659	+	0.514390i	0.188698	+	0.0169497i
$922$	−27.6066	+	27.6066i	−0.909173	+	0.909173i
$923$	−9.00800	−	33.6183i	−0.296502	−	1.10656i
$924$	8.90057	+	0.799492i	0.292807	+	0.0263014i
$925$	−51.4922	+	13.7438i	−1.69305	+	0.451893i
$926$	−15.0415	−	8.68420i	−0.494293	−	0.285380i
$927$	−12.6142	−	5.95344i	−0.414304	−	0.195536i
$928$	−0.850945	+	0.228010i	−0.0279336	+	0.00748479i
$929$	20.0619			0.658210			0.329105	−	0.944293i	$-0.393253\pi$
$929$	20.0619			0.658210			0.329105	+	0.944293i	$0.393253\pi$
$930$	1.36952	−	3.73017i	0.0449084	−	0.122317i
$931$	−10.6875	−	26.9922i	−0.350267	−	0.884633i
$932$	−86.2437	+	23.1089i	−2.82501	+	0.756958i
$933$	41.9560	−	35.0398i	1.37358	−	1.14715i
$934$			74.5768i			2.44023i
$935$	−3.44050	+	1.98415i	−0.112516	+	0.0648887i
$936$	−31.5340	−	26.7103i	−1.03072	−	0.873054i
$937$	54.7660	+	14.6745i	1.78913	+	0.479395i	0.992197	−	0.124676i	$-0.0397893\pi$
$937$	54.7660	+	14.6745i	1.78913	+	0.479395i	0.796930	+	0.604072i	$0.206456\pi$
$938$	−3.98363	−	1.06741i	−0.130070	−	0.0348522i
$939$	1.61101	−	17.9350i	0.0525732	−	0.585286i
$940$	−0.0235582	+	48.5891i	−0.000768385	+	1.58480i
$941$		−	36.7597i		−	1.19833i	−0.800625	−	0.599165i	$-0.795499\pi$
$941$		−	36.7597i		−	1.19833i	0.800625	−	0.599165i	$-0.204501\pi$
$942$	−9.12294	+	1.58683i	−0.297242	+	0.0517016i
$943$	0.655467	−	2.44624i	0.0213449	−	0.0796604i
$944$	−11.4037	−	19.7519i	−0.371160	−	0.642869i
$945$	6.77306	+	0.0503842i	0.220328	+	0.00163900i
$946$	32.5959	+	56.4577i	1.05978	+	1.83560i
$947$	10.0319	+	10.0319i	0.325993	+	0.325993i	0.851061	−	0.525067i	$-0.175960\pi$
$947$	10.0319	+	10.0319i	0.325993	+	0.325993i	−0.525067	+	0.851061i	$0.675960\pi$
$948$	−34.4787	+	94.0507i	−1.11982	+	3.05462i
$949$	−19.9001	−	11.4894i	−0.645986	−	0.372960i
$950$	21.2085	−	48.8819i	0.688094	−	1.58594i
$951$	−3.26326	+	36.3291i	−0.105818	+	1.17805i
$952$	−1.59060	+	1.59060i	−0.0515517	+	0.0515517i
$953$	5.20961	+	19.4425i	0.168756	+	0.629805i	0.997531	+	0.0702239i	$0.0223714\pi$
$953$	5.20961	+	19.4425i	0.168756	+	0.629805i	−0.828775	+	0.559581i	$0.810962\pi$
$954$	9.43517	−	52.0961i	0.305475	−	1.68667i
$955$	51.2320	−	13.7010i	1.65783	−	0.443352i
$956$	−64.9886	−	37.5212i	−2.10188	−	1.21352i
$957$	14.4797	+	5.30820i	0.468061	+	0.171590i
$958$	94.3634	−	25.2846i	3.04874	−	0.816908i
$959$	5.18323			0.167375
$960$	26.1779	+	18.4395i	0.844889	+	0.595134i
$961$	15.4119	+	26.6943i	0.497160	+	0.861106i
$962$	52.5070	+	52.5070i	1.69289	+	1.69289i
$963$	0.342881	+	4.14013i	0.0110492	+	0.133414i
$964$	83.1809	+	48.0245i	2.67908	+	1.54677i
$965$	−22.2678	+	38.5258i	−0.716825	+	1.24019i
$966$	5.16768	−	7.34393i	0.166267	−	0.236287i
$967$	−38.9448	−	10.4352i	−1.25238	−	0.335574i	−0.429124	−	0.903245i	$-0.641178\pi$
$967$	−38.9448	−	10.4352i	−1.25238	−	0.335574i	−0.823255	+	0.567671i	$0.807844\pi$
$968$	7.56778	+	28.2434i	0.243238	+	0.907776i
$969$	−4.15060	+	4.36895i	−0.133337	+	0.140351i
$970$	17.7186	+	4.75690i	0.568911	+	0.152735i
$971$	41.7000	+	24.0755i	1.33822	+	0.772619i	0.986543	−	0.163504i	$-0.0522795\pi$
$971$	41.7000	+	24.0755i	1.33822	+	0.772619i	0.351673	+	0.936123i	$0.385613\pi$
$972$	11.4733	−	60.9301i	0.368005	−	1.95433i
$973$	2.61567	−	9.76180i	0.0838544	−	0.312949i
$974$	44.3640			1.42151
$975$	−24.5759	−	2.23155i	−0.787059	−	0.0714669i
$976$	2.06084	−	3.56948i	0.0659658	−	0.114256i
$977$	54.3611	−	14.5660i	1.73916	−	0.466008i	0.756904	−	0.653526i	$-0.226711\pi$
$977$	54.3611	−	14.5660i	1.73916	−	0.466008i	0.982261	+	0.187518i	$0.0600444\pi$
$978$	−40.8850	−	14.9884i	−1.30736	−	0.479275i
$979$	−7.76206	−	4.48143i	−0.248076	−	0.143227i
$980$	−41.9045	+	41.8639i	−1.33859	+	1.33729i
$981$	−12.0160	−	33.4961i	−0.383642	−	1.06945i
$982$	−95.3130	−	25.5390i	−3.04156	−	0.814983i
$983$	−36.7735	+	36.7735i	−1.17289	+	1.17289i	−0.191376	+	0.981517i	$0.561295\pi$
$983$	−36.7735	+	36.7735i	−1.17289	+	1.17289i	−0.981517	+	0.191376i	$0.938705\pi$
$984$	−4.76747	−	3.35471i	−0.151981	−	0.106944i
$985$	14.2939	+	24.7855i	0.455442	+	0.789732i
$986$	−6.76229	+	3.90421i	−0.215355	+	0.124335i
$987$	−1.89870	+	5.17926i	−0.0604364	+	0.164858i
$988$	−49.0732	+	5.67875i	−1.56123	+	0.180665i
$989$	43.5899			1.38608
$990$	−12.3064	−	34.3580i	−0.391123	−	1.09197i
$991$	10.5873	−	18.3377i	0.336317	−	0.582517i	−0.647420	−	0.762133i	$-0.724152\pi$
$991$	10.5873	−	18.3377i	0.336317	−	0.582517i	0.983737	+	0.179616i	$0.0574855\pi$
$992$	0.0892456	−	0.0239133i	0.00283355	−	0.000759247i
$993$	−8.23050	+	1.43160i	−0.261187	+	0.0454303i
$994$		−	17.4082i		−	0.552156i
$995$	32.8398	−	8.78234i	1.04109	−	0.278419i
$996$	6.22370	+	4.37942i	0.197206	+	0.138767i
$997$	−3.14001	−	11.7187i	−0.0994452	−	0.371135i	0.898211	−	0.439565i	$-0.144867\pi$
$997$	−3.14001	−	11.7187i	−0.0994452	−	0.371135i	−0.997656	+	0.0684306i	$0.978201\pi$
$998$	−4.36212	−	1.16883i	−0.138081	−	0.0369986i
$999$	−14.7065	+	53.3975i	−0.465294	+	1.68942i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	855.2.bx.a.68.10	✓	464
5.2	odd	4	inner	855.2.bx.a.752.107	yes	464
9.2	odd	6		855.2.ci.a.353.107	yes	464
19.7	even	3		855.2.ci.a.653.107	yes	464
45.2	even	12		855.2.ci.a.182.107	yes	464
95.7	odd	12		855.2.ci.a.482.107	yes	464
171.83	odd	6	inner	855.2.bx.a.83.107	yes	464
855.767	even	12	inner	855.2.bx.a.767.10	yes	464

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
855.2.bx.a.68.10	✓	464	1.1	even	1	trivial
855.2.bx.a.83.107	yes	464	171.83	odd	6	inner
855.2.bx.a.752.107	yes	464	5.2	odd	4	inner
855.2.bx.a.767.10	yes	464	855.767	even	12	inner
855.2.ci.a.182.107	yes	464	45.2	even	12
855.2.ci.a.353.107	yes	464	9.2	odd	6
855.2.ci.a.482.107	yes	464	95.7	odd	12
855.2.ci.a.653.107	yes	464	19.7	even	3

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.bx (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.72878 - 1.72878i) q^{2} +(-0.596167 + 1.62622i) q^{3} +3.97736i q^{4} +(-2.15959 - 0.579784i) q^{5} +(3.84201 - 1.78073i) q^{6} +(-0.563084 - 0.150878i) q^{7} +(3.41842 - 3.41842i) q^{8} +(-2.28917 - 1.93900i) q^{9} +O(q^{10})\)	\(q+(-1.72878 - 1.72878i) q^{2} +(-0.596167 + 1.62622i) q^{3} +3.97736i q^{4} +(-2.15959 - 0.579784i) q^{5} +(3.84201 - 1.78073i) q^{6} +(-0.563084 - 0.150878i) q^{7} +(3.41842 - 3.41842i) q^{8} +(-2.28917 - 1.93900i) q^{9} +(2.73114 + 4.73578i) q^{10} +(1.92712 - 1.11262i) q^{11} +(-6.46805 - 2.37117i) q^{12} +(2.01487 + 2.01487i) q^{13} +(0.712614 + 1.23428i) q^{14} +(2.23034 - 3.16632i) q^{15} -3.86466 q^{16} +(0.770994 - 0.206587i) q^{17} +(0.605372 + 7.30957i) q^{18} +(3.41608 + 2.70747i) q^{19} +(2.30601 - 8.58948i) q^{20} +(0.581053 - 0.825749i) q^{21} +(-5.25504 - 1.40808i) q^{22} +(-2.57223 + 2.57223i) q^{23} +(3.52114 + 7.59704i) q^{24} +(4.32770 + 2.50420i) q^{25} -6.96653i q^{26} +(4.51796 - 2.56672i) q^{27} +(0.600096 - 2.23959i) q^{28} +(2.00065 - 3.46523i) q^{29} +(-9.32963 + 1.61812i) q^{30} +(-0.209825 + 0.363427i) q^{31} +(-0.155683 - 0.155683i) q^{32} +(0.660481 + 3.79722i) q^{33} +(-1.69002 - 0.975734i) q^{34} +(1.12856 + 0.652303i) q^{35} +(7.71208 - 9.10485i) q^{36} +(-7.53703 + 7.53703i) q^{37} +(-1.22504 - 10.5863i) q^{38} +(-4.47782 + 2.07542i) q^{39} +(-9.36434 + 5.40045i) q^{40} +(-0.602920 + 0.348096i) q^{41} +(-2.43205 + 0.423026i) q^{42} +(-8.47315 - 8.47315i) q^{43} +(4.42530 + 7.66484i) q^{44} +(3.81948 + 5.51467i) q^{45} +8.89365 q^{46} +(-5.27720 + 1.41402i) q^{47} +(2.30399 - 6.28478i) q^{48} +(-5.76788 - 3.33009i) q^{49} +(-3.15244 - 11.8108i) q^{50} +(-0.123686 + 1.37696i) q^{51} +(-8.01386 + 8.01386i) q^{52} +(-6.97238 - 1.86824i) q^{53} +(-12.2478 - 3.37326i) q^{54} +(-4.80687 + 1.28550i) q^{55} +(-2.44062 + 1.40909i) q^{56} +(-6.43949 + 3.94119i) q^{57} +(-9.44931 + 2.53194i) q^{58} +(2.95077 + 5.11089i) q^{59} +(12.5936 + 8.87084i) q^{60} +(-0.533252 + 0.923619i) q^{61} +(0.991027 - 0.265545i) q^{62} +(0.996443 + 1.43720i) q^{63} +8.26761i q^{64} +(-3.18311 - 5.51949i) q^{65} +(5.42274 - 7.70639i) q^{66} +(-2.04614 + 2.04614i) q^{67} +(0.821671 + 3.06652i) q^{68} +(-2.64953 - 5.71649i) q^{69} +(-0.823340 - 3.07872i) q^{70} +(-10.5779 - 6.10718i) q^{71} +(-14.4536 + 1.19704i) q^{72} +(-7.78946 + 2.08718i) q^{73} +26.0597 q^{74} +(-6.65241 + 5.54486i) q^{75} +(-10.7686 + 13.5870i) q^{76} +(-1.25300 + 0.335740i) q^{77} +(11.3291 + 4.15322i) q^{78} -14.5408i q^{79} +(8.34611 + 2.24067i) q^{80} +(1.48059 + 8.87738i) q^{81} +(1.64410 + 0.440535i) q^{82} +(-1.06704 - 0.285912i) q^{83} +(3.28430 + 2.31106i) q^{84} +(-1.78481 - 0.000865357i) q^{85} +29.2964i q^{86} +(4.44250 + 5.31936i) q^{87} +(2.78429 - 10.3911i) q^{88} +(-2.01390 - 3.48818i) q^{89} +(2.93061 - 16.1367i) q^{90} +(-0.830542 - 1.43854i) q^{91} +(-10.2307 - 10.2307i) q^{92} +(-0.465921 - 0.557885i) q^{93} +(11.5676 + 6.67858i) q^{94} +(-5.80761 - 7.82762i) q^{95} +(0.345987 - 0.160361i) q^{96} +(2.37295 - 2.37295i) q^{97} +(4.21441 + 15.7284i) q^{98} +(-6.56887 - 1.18969i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 464 q - 2 q^{3} - 6 q^{5} - 4 q^{6} - 4 q^{7}+O(q^{10}) \) 464 * q - 2 * q^3 - 6 * q^5 - 4 * q^6 - 4 * q^7	\( 464 q - 2 q^{3} - 6 q^{5} - 4 q^{6} - 4 q^{7} - 4 q^{10} - 24 q^{11} + 2 q^{12} - 4 q^{13} - 8 q^{15} - 424 q^{16} - 18 q^{17} - 24 q^{18} - 12 q^{20} - 4 q^{21} + 10 q^{22} + 2 q^{25} - 2 q^{27} - 20 q^{28} + 2 q^{30} - 8 q^{31} - 8 q^{33} + 76 q^{36} - 16 q^{37} - 18 q^{38} + 18 q^{40} + 36 q^{41} + 82 q^{42} - 4 q^{43} + 6 q^{45} - 56 q^{46} + 54 q^{47} - 36 q^{48} - 108 q^{50} + 12 q^{51} + 68 q^{52} - 14 q^{55} - 24 q^{56} - 6 q^{57} - 12 q^{58} + 78 q^{60} + 4 q^{61} + 12 q^{62} - 70 q^{63} - 84 q^{65} - 4 q^{66} - 4 q^{67} - 60 q^{68} + 42 q^{70} + 14 q^{72} - 4 q^{73} + 98 q^{75} + 24 q^{76} - 12 q^{77} - 64 q^{78} - 120 q^{80} - 36 q^{81} + 4 q^{82} - 12 q^{83} - 4 q^{85} + 102 q^{87} + 48 q^{88} - 46 q^{90} - 8 q^{91} - 22 q^{93} + 54 q^{95} + 96 q^{96} - 4 q^{97} - 42 q^{98}+O(q^{100}) \) 464 * q - 2 * q^3 - 6 * q^5 - 4 * q^6 - 4 * q^7 - 4 * q^10 - 24 * q^11 + 2 * q^12 - 4 * q^13 - 8 * q^15 - 424 * q^16 - 18 * q^17 - 24 * q^18 - 12 * q^20 - 4 * q^21 + 10 * q^22 + 2 * q^25 - 2 * q^27 - 20 * q^28 + 2 * q^30 - 8 * q^31 - 8 * q^33 + 76 * q^36 - 16 * q^37 - 18 * q^38 + 18 * q^40 + 36 * q^41 + 82 * q^42 - 4 * q^43 + 6 * q^45 - 56 * q^46 + 54 * q^47 - 36 * q^48 - 108 * q^50 + 12 * q^51 + 68 * q^52 - 14 * q^55 - 24 * q^56 - 6 * q^57 - 12 * q^58 + 78 * q^60 + 4 * q^61 + 12 * q^62 - 70 * q^63 - 84 * q^65 - 4 * q^66 - 4 * q^67 - 60 * q^68 + 42 * q^70 + 14 * q^72 - 4 * q^73 + 98 * q^75 + 24 * q^76 - 12 * q^77 - 64 * q^78 - 120 * q^80 - 36 * q^81 + 4 * q^82 - 12 * q^83 - 4 * q^85 + 102 * q^87 + 48 * q^88 - 46 * q^90 - 8 * q^91 - 22 * q^93 + 54 * q^95 + 96 * q^96 - 4 * q^97 - 42 * q^98

Introduction

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