LMFDB - Embedded newform 153.2.n.a.106.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [153,2,Mod(4,153)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(153, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([4, 9]))

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

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

chi := DirichletCharacter("153.4");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 153 = 3^{2} \cdot 17 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	153.n (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:	$1.22171115093$
Analytic rank:	$0$
Dimension:	$64$
Relative dimension:	$16$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			106.8
Character	$\chi$	$=$	153.106
Dual form			153.2.n.a.13.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.145499 - 0.0840042i) q^{2} +(-1.52883 + 0.814046i) q^{3} +(-0.985887 - 1.70761i) q^{4} +(1.69754 + 0.454855i) q^{5} +(0.290828 + 0.00998502i) q^{6} +(2.66770 - 0.714807i) q^{7} +0.667291i q^{8} +(1.67466 - 2.48908i) q^{9} +O(q^{10})$	\(q+(-0.145499 - 0.0840042i) q^{2} +(-1.52883 + 0.814046i) q^{3} +(-0.985887 - 1.70761i) q^{4} +(1.69754 + 0.454855i) q^{5} +(0.290828 + 0.00998502i) q^{6} +(2.66770 - 0.714807i) q^{7} +0.667291i q^{8} +(1.67466 - 2.48908i) q^{9} +(-0.208782 - 0.208782i) q^{10} +(3.67064 - 0.983546i) q^{11} +(2.89733 + 1.80809i) q^{12} +(-1.65455 - 2.86576i) q^{13} +(-0.448195 - 0.120094i) q^{14} +(-2.96553 + 0.686481i) q^{15} +(-1.91572 + 3.31812i) q^{16} +(4.06030 - 0.716900i) q^{17} +(-0.452755 + 0.221482i) q^{18} -0.246643i q^{19} +(-0.896872 - 3.34717i) q^{20} +(-3.49658 + 3.26445i) q^{21} +(-0.616699 - 0.165244i) q^{22} +(-1.90081 + 7.09393i) q^{23} +(-0.543206 - 1.02018i) q^{24} +(-1.65537 - 0.955726i) q^{25} +0.555955i q^{26} +(-0.534045 + 5.16864i) q^{27} +(-3.85066 - 3.85066i) q^{28} +(-0.151520 - 0.565480i) q^{29} +(0.489151 + 0.149235i) q^{30} +(-9.59425 - 2.57077i) q^{31} +(1.71325 - 0.989147i) q^{32} +(-4.81115 + 4.49175i) q^{33} +(-0.650994 - 0.236774i) q^{34} +4.85367 q^{35} +(-5.90139 - 0.405704i) q^{36} +(3.78095 - 3.78095i) q^{37} +(-0.0207190 + 0.0358864i) q^{38} +(4.86238 + 3.03439i) q^{39} +(-0.303521 + 1.13276i) q^{40} +(1.16308 - 4.34066i) q^{41} +(0.782977 - 0.181249i) q^{42} +(8.58346 + 4.95566i) q^{43} +(-5.29835 - 5.29835i) q^{44} +(3.97498 - 3.46360i) q^{45} +(0.872486 - 0.872486i) q^{46} +(-5.06766 + 8.77745i) q^{47} +(0.227709 - 6.63233i) q^{48} +(0.543481 - 0.313779i) q^{49} +(0.160570 + 0.278115i) q^{50} +(-5.62393 + 4.40129i) q^{51} +(-3.26239 + 5.65062i) q^{52} +2.31635i q^{53} +(0.511890 - 0.707172i) q^{54} +6.67845 q^{55} +(0.476984 + 1.78013i) q^{56} +(0.200779 + 0.377075i) q^{57} +(-0.0254566 + 0.0950053i) q^{58} +(-4.27412 + 2.46766i) q^{59} +(4.09592 + 4.38717i) q^{60} +(5.40469 - 1.44818i) q^{61} +(1.18000 + 1.18000i) q^{62} +(2.68827 - 7.83717i) q^{63} +7.33050 q^{64} +(-1.50516 - 5.61733i) q^{65} +(1.07735 - 0.249391i) q^{66} +(2.97199 + 5.14764i) q^{67} +(-5.22718 - 6.22661i) q^{68} +(-2.86876 - 12.3928i) q^{69} +(-0.706206 - 0.407728i) q^{70} +(-1.52540 + 1.52540i) q^{71} +(1.66094 + 1.11748i) q^{72} +(-4.27560 + 4.27560i) q^{73} +(-0.867741 + 0.232510i) q^{74} +(3.30878 + 0.113601i) q^{75} +(-0.421168 + 0.243162i) q^{76} +(9.08912 - 5.24761i) q^{77} +(-0.452573 - 0.849962i) q^{78} +(-6.95678 + 1.86406i) q^{79} +(-4.76128 + 4.76128i) q^{80} +(-3.39104 - 8.33672i) q^{81} +(-0.533860 + 0.533860i) q^{82} +(-1.05211 - 0.607437i) q^{83} +(9.02162 + 2.75240i) q^{84} +(7.21863 + 0.629882i) q^{85} +(-0.832593 - 1.44209i) q^{86} +(0.691975 + 0.741180i) q^{87} +(0.656312 + 2.44939i) q^{88} -6.20503 q^{89} +(-0.869313 + 0.170037i) q^{90} +(-6.46229 - 6.46229i) q^{91} +(13.9876 - 3.74797i) q^{92} +(16.7607 - 3.87988i) q^{93} +(1.47468 - 0.851410i) q^{94} +(0.112187 - 0.418687i) q^{95} +(-1.81407 + 2.90691i) q^{96} +(-3.69595 - 13.7935i) q^{97} -0.105435 q^{98} +(3.69895 - 10.7836i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 64 q - 6 q^{3} + 24 q^{4} - 2 q^{5} - 10 q^{6} - 2 q^{7}+O(q^{10}) $ 64 * q - 6 * q^3 + 24 * q^4 - 2 * q^5 - 10 * q^6 - 2 * q^7	$ 64 q - 6 q^{3} + 24 q^{4} - 2 q^{5} - 10 q^{6} - 2 q^{7} - 16 q^{10} - 24 q^{12} - 4 q^{13} - 16 q^{16} - 8 q^{17} - 8 q^{18} + 18 q^{20} - 16 q^{21} - 4 q^{22} - 8 q^{23} - 2 q^{24} - 10 q^{29} - 36 q^{30} - 2 q^{31} + 12 q^{33} + 20 q^{34} - 128 q^{35} - 8 q^{37} - 24 q^{38} + 34 q^{39} - 20 q^{40} + 32 q^{41} + 20 q^{44} + 20 q^{45} - 40 q^{46} - 64 q^{47} + 62 q^{48} + 48 q^{50} + 40 q^{51} + 36 q^{52} - 46 q^{54} - 16 q^{55} + 12 q^{56} + 72 q^{57} - 10 q^{58} - 2 q^{61} - 28 q^{62} + 64 q^{63} - 8 q^{64} + 8 q^{65} - 4 q^{67} - 60 q^{68} - 24 q^{69} - 84 q^{71} + 72 q^{72} - 44 q^{73} - 14 q^{74} + 46 q^{75} - 56 q^{78} + 10 q^{79} + 204 q^{80} + 44 q^{81} - 52 q^{82} - 60 q^{84} + 22 q^{85} + 32 q^{86} + 16 q^{88} + 128 q^{89} - 66 q^{90} + 44 q^{91} + 136 q^{92} + 4 q^{95} - 2 q^{96} - 44 q^{97} + 208 q^{98} + 6 q^{99}+O(q^{100}) $ 64 * q - 6 * q^3 + 24 * q^4 - 2 * q^5 - 10 * q^6 - 2 * q^7 - 16 * q^10 - 24 * q^12 - 4 * q^13 - 16 * q^16 - 8 * q^17 - 8 * q^18 + 18 * q^20 - 16 * q^21 - 4 * q^22 - 8 * q^23 - 2 * q^24 - 10 * q^29 - 36 * q^30 - 2 * q^31 + 12 * q^33 + 20 * q^34 - 128 * q^35 - 8 * q^37 - 24 * q^38 + 34 * q^39 - 20 * q^40 + 32 * q^41 + 20 * q^44 + 20 * q^45 - 40 * q^46 - 64 * q^47 + 62 * q^48 + 48 * q^50 + 40 * q^51 + 36 * q^52 - 46 * q^54 - 16 * q^55 + 12 * q^56 + 72 * q^57 - 10 * q^58 - 2 * q^61 - 28 * q^62 + 64 * q^63 - 8 * q^64 + 8 * q^65 - 4 * q^67 - 60 * q^68 - 24 * q^69 - 84 * q^71 + 72 * q^72 - 44 * q^73 - 14 * q^74 + 46 * q^75 - 56 * q^78 + 10 * q^79 + 204 * q^80 + 44 * q^81 - 52 * q^82 - 60 * q^84 + 22 * q^85 + 32 * q^86 + 16 * q^88 + 128 * q^89 - 66 * q^90 + 44 * q^91 + 136 * q^92 + 4 * q^95 - 2 * q^96 - 44 * q^97 + 208 * q^98 + 6 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/153\mathbb{Z}\right)^\times$.

$n$	$37$	$137$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{2}{3}\right)$

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 $

$2$	−0.145499	−	0.0840042i	−0.102884	−	0.0593999i	0.447675	−	0.894196i	$-0.352252\pi$
$2$	−0.145499	−	0.0840042i	−0.102884	−	0.0593999i	−0.550559	+	0.834796i	$0.685585\pi$
$3$	−1.52883	+	0.814046i	−0.882672	+	0.469990i
$3$	−1.52883	+	0.814046i	−0.882672	+	0.469990i
$4$	−0.985887	−	1.70761i	−0.492943	−	0.853803i
$5$	1.69754	+	0.454855i	0.759165	+	0.203418i	0.617579	−	0.786509i	$-0.288113\pi$
$5$	1.69754	+	0.454855i	0.759165	+	0.203418i	0.141585	+	0.989926i	$0.454780\pi$
$6$	0.290828	+	0.00998502i	0.118730	+	0.00407637i
$7$	2.66770	−	0.714807i	1.00829	−	0.270172i	0.283378	−	0.959008i	$-0.408545\pi$
$7$	2.66770	−	0.714807i	1.00829	−	0.270172i	0.724917	+	0.688837i	$0.241878\pi$
$8$			0.667291i			0.235923i
$9$	1.67466	−	2.48908i	0.558219	−	0.829693i
$10$	−0.208782	−	0.208782i	−0.0660226	−	0.0660226i
$11$	3.67064	−	0.983546i	1.10674	−	0.296550i	0.341234	−	0.939978i	$-0.389155\pi$
$11$	3.67064	−	0.983546i	1.10674	−	0.296550i	0.765507	+	0.643428i	$0.222488\pi$
$12$	2.89733	+	1.80809i	0.836386	+	0.521949i
$13$	−1.65455	−	2.86576i	−0.458889	−	0.794818i	0.540014	−	0.841656i	$-0.318419\pi$
$13$	−1.65455	−	2.86576i	−0.458889	−	0.794818i	−0.998903	+	0.0468378i	$0.985086\pi$
$14$	−0.448195	−	0.120094i	−0.119785	−	0.0320964i
$15$	−2.96553	+	0.686481i	−0.765697	+	0.177249i
$16$	−1.91572	+	3.31812i	−0.478929	+	0.829530i
$17$	4.06030	−	0.716900i	0.984768	−	0.173874i
$17$	4.06030	−	0.716900i	0.984768	−	0.173874i
$18$	−0.452755	+	0.221482i	−0.106715	+	0.0522037i
$19$		−	0.246643i		−	0.0565837i	−0.999600	−	0.0282919i	$-0.990993\pi$
$19$		−	0.246643i		−	0.0565837i	0.999600	−	0.0282919i	$-0.00900678\pi$
$20$	−0.896872	−	3.34717i	−0.200547	−	0.748450i
$21$	−3.49658	+	3.26445i	−0.763015	+	0.712361i
$22$	−0.616699	−	0.165244i	−0.131481	−	0.0352301i
$23$	−1.90081	+	7.09393i	−0.396347	+	1.47919i	0.423128	+	0.906070i	$0.360932\pi$
$23$	−1.90081	+	7.09393i	−0.396347	+	1.47919i	−0.819474	+	0.573116i	$0.805734\pi$
$24$	−0.543206	−	1.02018i	−0.110881	−	0.208243i
$25$	−1.65537	−	0.955726i	−0.331073	−	0.191145i
$26$			0.555955i			0.109032i
$27$	−0.534045	+	5.16864i	−0.102777	+	0.994704i
$28$	−3.85066	−	3.85066i	−0.727706	−	0.727706i
$29$	−0.151520	−	0.565480i	−0.0281365	−	0.105007i	0.950430	−	0.310940i	$-0.100644\pi$
$29$	−0.151520	−	0.565480i	−0.0281365	−	0.105007i	−0.978566	+	0.205933i	$0.933977\pi$
$30$	0.489151	+	0.149235i	0.0893063	+	0.0272464i
$31$	−9.59425	−	2.57077i	−1.72318	−	0.461724i	−0.744584	−	0.667529i	$-0.767352\pi$
$31$	−9.59425	−	2.57077i	−1.72318	−	0.461724i	−0.978593	+	0.205805i	$0.934019\pi$
$32$	1.71325	−	0.989147i	0.302863	−	0.174858i
$33$	−4.81115	+	4.49175i	−0.837514	+	0.781914i
$34$	−0.650994	−	0.236774i	−0.111645	−	0.0406064i
$35$	4.85367			0.820419
$36$	−5.90139	−	0.405704i	−0.983565	−	0.0676174i
$37$	3.78095	−	3.78095i	0.621584	−	0.621584i	−0.324353	−	0.945936i	$-0.605146\pi$
$37$	3.78095	−	3.78095i	0.621584	−	0.621584i	0.945936	+	0.324353i	$0.105146\pi$
$38$	−0.0207190	+	0.0358864i	−0.00336107	+	0.00582154i
$39$	4.86238	+	3.03439i	0.778604	+	0.485891i
$40$	−0.303521	+	1.13276i	−0.0479909	+	0.179104i
$41$	1.16308	−	4.34066i	0.181642	−	0.677897i	−0.813682	−	0.581310i	$-0.802541\pi$
$41$	1.16308	−	4.34066i	0.181642	−	0.677897i	0.995324	−	0.0965876i	$-0.0307928\pi$
$42$	0.782977	−	0.181249i	0.120816	−	0.0279673i
$43$	8.58346	+	4.95566i	1.30897	+	0.755732i	0.981924	−	0.189278i	$-0.0606147\pi$
$43$	8.58346	+	4.95566i	1.30897	+	0.755732i	0.327042	+	0.945010i	$0.393948\pi$
$44$	−5.29835	−	5.29835i	−0.798756	−	0.798756i
$45$	3.97498	−	3.46360i	0.592555	−	0.516322i
$46$	0.872486	−	0.872486i	0.128641	−	0.128641i
$47$	−5.06766	+	8.77745i	−0.739195	+	1.28032i	0.213664	+	0.976907i	$0.431460\pi$
$47$	−5.06766	+	8.77745i	−0.739195	+	1.28032i	−0.952858	+	0.303415i	$0.901873\pi$
$48$	0.227709	−	6.63233i	0.0328669	−	0.957295i
$49$	0.543481	−	0.313779i	0.0776402	−	0.0448256i
$50$	0.160570	+	0.278115i	0.0227080	+	0.0393314i
$51$	−5.62393	+	4.40129i	−0.787508	+	0.616304i
$52$	−3.26239	+	5.65062i	−0.452412	+	0.783601i
$53$			2.31635i			0.318175i	0.987264	+	0.159088i	$0.0508552\pi$
$53$			2.31635i			0.318175i	−0.987264	+	0.159088i	$0.949145\pi$
$54$	0.511890	−	0.707172i	0.0696594	−	0.0962339i
$55$	6.67845			0.900522
$56$	0.476984	+	1.78013i	0.0637397	+	0.237880i
$57$	0.200779	+	0.377075i	0.0265938	+	0.0499449i
$58$	−0.0254566	+	0.0950053i	−0.00334262	+	0.0124748i
$59$	−4.27412	+	2.46766i	−0.556443	+	0.321263i	−0.751717	−	0.659486i	$-0.770774\pi$
$59$	−4.27412	+	2.46766i	−0.556443	+	0.321263i	0.195274	+	0.980749i	$0.437441\pi$
$60$	4.09592	+	4.38717i	0.528781	+	0.566381i
$61$	5.40469	−	1.44818i	0.691999	−	0.185421i	0.104355	−	0.994540i	$-0.466722\pi$
$61$	5.40469	−	1.44818i	0.691999	−	0.185421i	0.587644	+	0.809119i	$0.300055\pi$
$62$	1.18000	+	1.18000i	0.149860	+	0.149860i
$63$	2.68827	−	7.83717i	0.338690	−	0.987391i
$64$	7.33050			0.916313
$65$	−1.50516	−	5.61733i	−0.186692	−	0.696744i
$66$	1.07735	−	0.249391i	0.132612	−	0.0306979i
$67$	2.97199	+	5.14764i	0.363086	+	0.628884i	0.988467	−	0.151436i	$-0.0483897\pi$
$67$	2.97199	+	5.14764i	0.363086	+	0.628884i	−0.625381	+	0.780320i	$0.715056\pi$
$68$	−5.22718	−	6.22661i	−0.633889	−	0.755088i
$69$	−2.86876	−	12.3928i	−0.345358	−	1.49191i
$70$	−0.706206	−	0.407728i	−0.0844077	−	0.0487328i
$71$	−1.52540	+	1.52540i	−0.181031	+	0.181031i	−0.791805	−	0.610774i	$-0.790858\pi$
$71$	−1.52540	+	1.52540i	−0.181031	+	0.181031i	0.610774	+	0.791805i	$0.290858\pi$
$72$	1.66094	+	1.11748i	0.195744	+	0.131697i
$73$	−4.27560	+	4.27560i	−0.500421	+	0.500421i	−0.911569	−	0.411148i	$-0.865128\pi$
$73$	−4.27560	+	4.27560i	−0.500421	+	0.500421i	0.411148	+	0.911569i	$0.365128\pi$
$74$	−0.867741	+	0.232510i	−0.100873	+	0.0270288i
$75$	3.30878	+	0.113601i	0.382065	+	0.0131175i
$76$	−0.421168	+	0.243162i	−0.0483113	+	0.0278926i
$77$	9.08912	−	5.24761i	1.03580	−	0.598020i
$78$	−0.452573	−	0.849962i	−0.0512438	−	0.0962393i
$79$	−6.95678	+	1.86406i	−0.782699	+	0.209724i	−0.627975	−	0.778234i	$-0.716116\pi$
$79$	−6.95678	+	1.86406i	−0.782699	+	0.209724i	−0.154725	+	0.987958i	$0.549449\pi$
$80$	−4.76128	+	4.76128i	−0.532327	+	0.532327i
$81$	−3.39104	−	8.33672i	−0.376782	−	0.926302i
$82$	−0.533860	+	0.533860i	−0.0589550	+	0.0589550i
$83$	−1.05211	−	0.607437i	−0.115484	−	0.0666749i	0.441145	−	0.897436i	$-0.354572\pi$
$83$	−1.05211	−	0.607437i	−0.115484	−	0.0666749i	−0.556630	+	0.830761i	$0.687906\pi$
$84$	9.02162	+	2.75240i	0.984339	+	0.300311i
$85$	7.21863	+	0.629882i	0.782970	+	0.0683203i
$86$	−0.832593	−	1.44209i	−0.0897808	−	0.155505i
$87$	0.691975	+	0.741180i	0.0741875	+	0.0794628i
$88$	0.656312	+	2.44939i	0.0699630	+	0.261106i
$89$	−6.20503			−0.657731			−0.328866	−	0.944377i	$-0.606666\pi$
$89$	−6.20503			−0.657731			−0.328866	+	0.944377i	$0.606666\pi$
$90$	−0.869313	+	0.170037i	−0.0916337	+	0.0179234i
$91$	−6.46229	−	6.46229i	−0.677432	−	0.677432i
$92$	13.9876	−	3.74797i	1.45831	−	0.390753i
$93$	16.7607	−	3.87988i	1.73801	−	0.402325i
$94$	1.47468	−	0.851410i	0.152102	−	0.0878162i
$95$	0.112187	−	0.418687i	0.0115101	−	0.0429564i
$96$	−1.81407	+	2.90691i	−0.185147	+	0.296685i
$97$	−3.69595	−	13.7935i	−0.375267	−	1.40051i	−0.852955	−	0.521985i	$-0.825192\pi$
$97$	−3.69595	−	13.7935i	−0.375267	−	1.40051i	0.477688	−	0.878529i	$-0.341475\pi$
$98$	−0.105435			−0.0106505
$99$	3.69895	−	10.7836i	0.371758	−	1.08380i
$100$			3.76895i			0.376895i
$101$	−7.39202	+	12.8034i	−0.735533	+	1.27398i	0.218955	+	0.975735i	$0.429735\pi$
$101$	−7.39202	+	12.8034i	−0.735533	+	1.27398i	−0.954489	+	0.298246i	$0.903598\pi$
$102$	1.18801	−	0.167952i	0.117630	−	0.0166297i
$103$	−0.309484	−	0.536042i	−0.0304944	−	0.0528178i	0.850375	−	0.526176i	$-0.176375\pi$
$103$	−0.309484	−	0.536042i	−0.0304944	−	0.0528178i	−0.880870	+	0.473359i	$0.843042\pi$
$104$	1.91229	−	1.10406i	0.187516	−	0.108262i
$105$	−7.42044	+	3.95111i	−0.724161	+	0.385589i
$106$	0.194583	−	0.337028i	0.0188996	−	0.0327350i
$107$	3.57341	−	3.57341i	0.345455	−	0.345455i	−0.512959	−	0.858413i	$-0.671451\pi$
$107$	3.57341	−	3.57341i	0.345455	−	0.345455i	0.858413	+	0.512959i	$0.171451\pi$
$108$	9.35250	−	4.18375i	0.899945	−	0.402582i
$109$	9.65772	+	9.65772i	0.925042	+	0.925042i	0.997380	−	0.0723383i	$-0.0230461\pi$
$109$	9.65772	+	9.65772i	0.925042	+	0.925042i	−0.0723383	+	0.997380i	$0.523046\pi$
$110$	−0.971711	−	0.561018i	−0.0926490	−	0.0534909i
$111$	−2.70257	+	8.85830i	−0.256516	+	0.840792i
$112$	−2.73874	+	10.2211i	−0.258786	+	0.965804i
$113$	−1.98407	+	7.40465i	−0.186646	+	0.696571i	0.807627	+	0.589694i	$0.200752\pi$
$113$	−1.98407	+	7.40465i	−0.186646	+	0.696571i	−0.994272	+	0.106877i	$0.965915\pi$
$114$	0.00246273	−	0.0717305i	0.000230656	−	0.00671818i
$115$	−6.45342	+	11.1777i	−0.601785	+	1.04232i
$116$	−0.816235	+	0.816235i	−0.0757855	+	0.0757855i
$117$	−9.90390	−	0.680866i	−0.915616	−	0.0629461i
$118$	0.829176			0.0763319
$119$	10.3192	−	4.81481i	0.945961	−	0.441372i
$120$	−0.458083	−	1.97887i	−0.0418170	−	0.180646i
$121$	2.97999	−	1.72050i	0.270908	−	0.156409i
$122$	−0.908033	−	0.243307i	−0.0822094	−	0.0220279i
$123$	1.75535	+	7.58294i	0.158274	+	0.683731i
$124$	5.06898	+	18.9177i	0.455207	+	1.69886i
$125$	−8.58878	−	8.58878i	−0.768204	−	0.768204i
$126$	−1.04950	+	0.914479i	−0.0934966	+	0.0814682i
$127$		−	12.9765i		−	1.15148i	−0.817634	−	0.575738i	$-0.804715\pi$
$127$		−	12.9765i		−	1.15148i	0.817634	−	0.575738i	$-0.195285\pi$
$128$	−4.49309	−	2.59409i	−0.397137	−	0.229287i
$129$	−17.1568	−	0.589047i	−1.51057	−	0.0518627i
$130$	−0.252879	+	0.943758i	−0.0221790	+	0.0827730i
$131$	−15.0016	−	4.01965i	−1.31069	−	0.351199i	−0.465209	−	0.885201i	$-0.654021\pi$
$131$	−15.0016	−	4.01965i	−1.31069	−	0.351199i	−0.845483	+	0.534002i	$0.820687\pi$
$132$	12.4134	+	3.78719i	1.08045	+	0.329632i
$133$	−0.176302	−	0.657968i	−0.0152873	−	0.0570531i
$134$		−	0.998638i		−	0.0862692i
$135$	−3.25755	+	8.53107i	−0.280365	+	0.734238i
$136$	0.478381	+	2.70940i	0.0410208	+	0.232329i
$137$	−4.35280	+	7.53928i	−0.371885	+	0.644124i	−0.989856	−	0.142078i	$-0.954622\pi$
$137$	−4.35280	+	7.53928i	−0.371885	+	0.644124i	0.617971	+	0.786201i	$0.287955\pi$
$138$	−0.623641	+	2.04413i	−0.0530879	+	0.174008i
$139$	−3.01565	−	0.808041i	−0.255784	−	0.0685371i	0.128648	−	0.991690i	$-0.458936\pi$
$139$	−3.01565	−	0.808041i	−0.255784	−	0.0685371i	−0.384432	+	0.923153i	$0.625603\pi$
$140$	−4.78516	−	8.28815i	−0.404420	−	0.700476i
$141$	0.602359	−	17.5446i	0.0507278	−	1.47752i
$142$	0.350084	−	0.0938048i	0.0293784	−	0.00787192i
$143$	−8.89186	−	8.89186i	−0.743574	−	0.743574i
$144$	5.05090	+	10.3251i	0.420908	+	0.860424i
$145$		−	1.02885i		−	0.0854410i
$146$	0.981265	−	0.262929i	0.0812101	−	0.0217602i
$147$	−0.575461	+	0.922134i	−0.0474632	+	0.0760563i
$148$	−10.1839	−	2.72878i	−0.837115	−	0.224304i
$149$	3.99505	+	6.91964i	0.327288	+	0.566879i	0.981973	−	0.189023i	$-0.0605321\pi$
$149$	3.99505	+	6.91964i	0.327288	+	0.566879i	−0.654685	+	0.755902i	$0.727199\pi$
$150$	−0.471883	−	0.294480i	−0.0385291	−	0.0240442i
$151$	−9.10137	−	5.25468i	−0.740659	−	0.427620i	0.0816498	−	0.996661i	$-0.473981\pi$
$151$	−9.10137	−	5.25468i	−0.740659	−	0.427620i	−0.822309	+	0.569041i	$0.807314\pi$
$152$	0.164582			0.0133494
$153$	5.01520	−	11.3070i	0.405455	−	0.914115i
$154$	−1.76328			−0.142089
$155$	−15.1173	−	8.72799i	−1.21425	−	0.701049i
$156$	0.387779	−	11.2946i	0.0310471	−	0.904291i
$157$	4.16110	+	7.20724i	0.332092	+	0.575200i	0.982922	−	0.184023i	$-0.0589122\pi$
$157$	4.16110	+	7.20724i	0.332092	+	0.575200i	−0.650830	+	0.759224i	$0.725579\pi$
$158$	1.16880	+	0.313178i	0.0929846	+	0.0249151i
$159$	−1.88562	−	3.54131i	−0.149539	−	0.280844i
$160$	3.35824	−	0.899838i	0.265492	−	0.0711385i
$161$			20.2832i			1.59854i
$162$	−0.206924	+	1.49785i	−0.0162575	+	0.117682i
$163$	9.10888	+	9.10888i	0.713463	+	0.713463i	0.967258	−	0.253795i	$-0.0816789\pi$
$163$	9.10888	+	9.10888i	0.713463	+	0.713463i	−0.253795	+	0.967258i	$0.581679\pi$
$164$	−8.55880	+	2.29332i	−0.668330	+	0.179078i
$165$	−10.2102	+	5.43657i	−0.794866	+	0.423236i
$166$	0.102054	+	0.176764i	0.00792096	+	0.0137195i
$167$	22.7926	+	6.10726i	1.76375	+	0.472594i	0.987471	−	0.157801i	$-0.0504405\pi$
$167$	22.7926	+	6.10726i	1.76375	+	0.472594i	0.776274	+	0.630395i	$0.217107\pi$
$168$	−2.17834	−	2.33323i	−0.168062	−	0.180013i
$169$	1.02495	−	1.77527i	0.0788426	−	0.136559i
$170$	−0.997394	−	0.698042i	−0.0764966	−	0.0535374i
$171$	−0.613913	−	0.413042i	−0.0469471	−	0.0315861i
$172$		−	19.5429i		−	1.49013i
$173$	2.65548	+	9.91037i	0.201892	+	0.753472i	0.990374	+	0.138414i	$0.0442005\pi$
$173$	2.65548	+	9.91037i	0.201892	+	0.753472i	−0.788482	+	0.615057i	$0.789133\pi$
$174$	−0.0384198	−	0.165970i	−0.00291260	−	0.0125822i
$175$	−5.09918	−	1.36632i	−0.385461	−	0.103284i
$176$	−3.76839	+	14.0638i	−0.284053	+	1.06010i
$177$	4.52562	−	7.25198i	0.340167	−	0.545092i
$178$	0.902828	+	0.521248i	0.0676698	+	0.0390692i
$179$			5.95330i			0.444971i	0.974936	+	0.222485i	$0.0714170\pi$
$179$			5.95330i			0.444971i	−0.974936	+	0.222485i	$0.928583\pi$
$180$	−9.83333	−	3.37298i	−0.732933	−	0.251407i
$181$	−1.66729	−	1.66729i	−0.123929	−	0.123929i	0.642422	−	0.766351i	$-0.277930\pi$
$181$	−1.66729	−	1.66729i	−0.123929	−	0.123929i	−0.766351	+	0.642422i	$0.777930\pi$
$182$	0.397401	+	1.48312i	0.0294573	+	0.109936i
$183$	−7.08398	+	6.61369i	−0.523663	+	0.488898i
$184$	−4.73371	−	1.26839i	−0.348974	−	0.0935073i
$185$	8.13810	−	4.69854i	0.598325	−	0.345443i
$186$	−2.76460	−	0.843450i	−0.202710	−	0.0618447i
$187$	14.1988	−	6.62498i	1.03832	−	0.484467i
$188$	19.9846			1.45752
$189$	2.26991	+	14.1701i	0.165111	+	1.03072i
$190$	−0.0514945	+	0.0514945i	−0.00373581	+	0.00373581i
$191$	8.85206	−	15.3322i	0.640512	−	1.10940i	−0.344806	−	0.938674i	$-0.612055\pi$
$191$	8.85206	−	15.3322i	0.640512	−	1.10940i	0.985319	−	0.170726i	$-0.0546114\pi$
$192$	−11.2071	+	5.96737i	−0.808803	+	0.430658i
$193$	−2.08987	+	7.79952i	−0.150432	+	0.561422i	0.849021	+	0.528359i	$0.177193\pi$
$193$	−2.08987	+	7.79952i	−0.150432	+	0.561422i	−0.999453	+	0.0330622i	$0.989474\pi$
$194$	−0.620950	+	2.31742i	−0.0445816	+	0.166381i
$195$	6.87390	+	7.36269i	0.492250	+	0.527253i
$196$	−1.07162	−	0.618701i	−0.0765444	−	0.0441929i
$197$	−3.88297	−	3.88297i	−0.276650	−	0.276650i	0.555120	−	0.831770i	$-0.312672\pi$
$197$	−3.88297	−	3.88297i	−0.276650	−	0.276650i	−0.831770	+	0.555120i	$0.812672\pi$
$198$	−1.44407	+	1.25829i	−0.102625	+	0.0894225i
$199$	−3.70333	+	3.70333i	−0.262522	+	0.262522i	−0.826078	−	0.563556i	$-0.809433\pi$
$199$	−3.70333	+	3.70333i	−0.262522	+	0.262522i	0.563556	+	0.826078i	$0.309433\pi$
$200$	0.637747	−	1.10461i	0.0450956	−	0.0781078i
$201$	−8.73409	−	5.45054i	−0.616055	−	0.384451i
$202$	2.15107	−	1.24192i	0.151349	−	0.0873812i
$203$	−0.808418	−	1.40022i	−0.0567398	−	0.0982763i
$204$	13.0602	+	5.26428i	0.914399	+	0.368574i
$205$	3.94875	−	6.83943i	0.275792	−	0.477686i
$206$			0.103992i			0.00724546i
$207$	14.4741	+	16.6112i	1.00602	+	1.15456i
$208$	12.6786			0.879101
$209$	−0.242585	−	0.905338i	−0.0167799	−	0.0626235i
$210$	1.41158	+	0.0484639i	0.0974083	+	0.00334433i
$211$	4.12052	−	15.3780i	0.283668	−	1.05866i	−0.666139	−	0.745828i	$-0.732054\pi$
$211$	4.12052	−	15.3780i	0.283668	−	1.05866i	0.949807	−	0.312836i	$-0.101279\pi$
$212$	3.95541	−	2.28366i	0.271659	−	0.156842i
$213$	1.09033	−	3.57382i	0.0747084	−	0.244874i
$214$	−0.820111	+	0.219748i	−0.0560616	+	0.0150217i
$215$	12.3167	+	12.3167i	0.839991	+	0.839991i
$216$	−3.44898	−	0.356364i	−0.234674	−	0.0242475i
$217$	−27.4321			−1.86222
$218$	−0.593905	−	2.21648i	−0.0402243	−	0.150119i
$219$	3.05614	−	10.0172i	0.206515	−	0.676900i
$220$	−6.58420	−	11.4042i	−0.443906	−	0.768868i
$221$	−8.77242	−	10.4497i	−0.590097	−	0.702923i
$222$	1.13736	−	1.06185i	0.0763343	−	0.0712667i
$223$	0.0747596	+	0.0431625i	0.00500628	+	0.00289037i	0.502501	−	0.864577i	$-0.332413\pi$
$223$	0.0747596	+	0.0431625i	0.00500628	+	0.00289037i	−0.497495	+	0.867467i	$0.665747\pi$
$224$	3.86339	−	3.86339i	0.258134	−	0.258134i
$225$	−5.15105	+	2.51983i	−0.343403	+	0.167988i
$226$	0.910703	−	0.910703i	0.0605790	−	0.0605790i
$227$	26.8393	−	7.19156i	1.78139	−	0.477321i	0.790550	−	0.612398i	$-0.209795\pi$
$227$	26.8393	−	7.19156i	1.78139	−	0.477321i	0.990835	+	0.135077i	$0.0431282\pi$
$228$	0.445951	−	0.714604i	0.0295338	−	0.0473258i
$229$	24.4368	−	14.1086i	1.61483	−	0.932321i	0.626598	−	0.779342i	$-0.284447\pi$
$229$	24.4368	−	14.1086i	1.61483	−	0.932321i	0.988229	−	0.152979i	$-0.0488867\pi$
$230$	1.87794	−	1.08423i	0.123828	−	0.0714919i
$231$	−9.62395	+	15.4217i	−0.633210	+	1.01467i
$232$	0.377340	−	0.101108i	0.0247736	−	0.00663805i
$233$	18.7526	−	18.7526i	1.22853	−	1.22853i	0.264006	−	0.964521i	$-0.414956\pi$
$233$	18.7526	−	18.7526i	1.22853	−	1.22853i	0.964521	−	0.264006i	$-0.0850437\pi$
$234$	1.38382	+	0.931034i	0.0904629	+	0.0608636i
$235$	−12.5950	+	12.5950i	−0.821610	+	0.821610i
$236$	8.42760	+	4.86568i	0.548590	+	0.316728i
$237$	9.11832	−	8.51299i	0.592299	−	0.552978i
$238$	−1.90590	−	0.166305i	−0.123541	−	0.0107800i
$239$	2.00476	+	3.47235i	0.129677	+	0.224608i	0.923552	−	0.383474i	$-0.125272\pi$
$239$	2.00476	+	3.47235i	0.129677	+	0.224608i	−0.793874	+	0.608082i	$0.791939\pi$
$240$	3.40330	−	11.1551i	0.219682	−	0.720059i
$241$	−2.98272	−	11.1317i	−0.192134	−	0.717053i	−0.992990	−	0.118196i	$-0.962289\pi$
$241$	−2.98272	−	11.1317i	−0.192134	−	0.717053i	0.800857	−	0.598856i	$-0.204378\pi$
$242$	−0.578116			−0.0371627
$243$	11.9708	+	9.98498i	0.767928	+	0.640537i
$244$	−7.80133	−	7.80133i	−0.499429	−	0.499429i
$245$	1.06531	−	0.285448i	0.0680600	−	0.0182366i
$246$	0.381596	−	1.25077i	0.0243297	−	0.0797462i
$247$	−0.706818	+	0.408082i	−0.0449738	+	0.0259656i
$248$	1.71545	−	6.40215i	0.108931	−	0.406537i
$249$	2.10298	+	0.0722020i	0.133271	+	0.00457562i
$250$	0.528170	+	1.97116i	0.0334044	+	0.124667i
$251$	11.9288			0.752938			0.376469	−	0.926429i	$-0.377138\pi$
$251$	11.9288			0.752938			0.376469	+	0.926429i	$0.377138\pi$
$252$	−16.0331	+	3.13606i	−1.00999	+	0.197553i
$253$			27.9088i			1.75461i
$254$	−1.09008	+	1.88807i	−0.0683976	+	0.118468i
$255$	−11.5488	+	4.91331i	−0.723215	+	0.307683i
$256$	−6.89467	−	11.9419i	−0.430917	−	0.746370i
$257$	−21.3151	+	12.3063i	−1.32960	+	0.767645i	−0.985238	−	0.171191i	$-0.945238\pi$
$257$	−21.3151	+	12.3063i	−1.32960	+	0.767645i	−0.344363	+	0.938837i	$0.611905\pi$
$258$	2.44683	+	1.52695i	0.152333	+	0.0950637i
$259$	7.38377	−	12.7891i	0.458805	−	0.794674i
$260$	−8.10827	+	8.10827i	−0.502853	+	0.502853i
$261$	−1.66127	−	0.569840i	−0.102830	−	0.0352722i
$262$	1.84505	+	1.84505i	0.113988	+	0.113988i
$263$	−23.2476	−	13.4220i	−1.43351	−	0.827635i	−0.436119	−	0.899889i	$-0.643647\pi$
$263$	−23.2476	−	13.4220i	−1.43351	−	0.827635i	−0.997386	+	0.0722539i	$0.976981\pi$
$264$	−2.99731	−	3.21044i	−0.184471	−	0.197589i
$265$	−1.05360	+	3.93211i	−0.0647224	+	0.241547i
$266$	−0.0296202	+	0.110544i	−0.00181613	+	0.00677789i
$267$	9.48645	−	5.05118i	0.580561	−	0.309127i
$268$	5.86009	−	10.1500i	0.357962	−	0.620008i
$269$	−0.0154266	+	0.0154266i	−0.000940574	+	0.000940574i	−0.707577	−	0.706636i	$-0.750212\pi$
$269$	−0.0154266	+	0.0154266i	−0.000940574	+	0.000940574i	0.706636	+	0.707577i	$0.250212\pi$
$270$	1.19062	−	0.967619i	0.0724586	−	0.0588874i
$271$	−24.6416			−1.49687			−0.748435	−	0.663208i	$-0.769194\pi$
$271$	−24.6416			−1.49687			−0.748435	+	0.663208i	$0.769194\pi$
$272$	−5.39963	+	14.8460i	−0.327401	+	0.900168i
$273$	15.1404	+	4.61916i	0.916337	+	0.279564i
$274$	1.26666	−	0.731307i	0.0765218	−	0.0441799i
$275$	−7.01626	−	1.88000i	−0.423097	−	0.113368i
$276$	−18.3337	+	17.1166i	−1.10356	+	1.03030i
$277$	−3.91110	−	14.5964i	−0.234995	−	0.877015i	−0.978151	−	0.207896i	$-0.933338\pi$
$277$	−3.91110	−	14.5964i	−0.234995	−	0.877015i	0.743155	−	0.669119i	$-0.233328\pi$
$278$	0.370897	+	0.370897i	0.0222449	+	0.0222449i
$279$	−22.4659	+	19.5757i	−1.34500	+	1.17197i
$280$			3.23881i			0.193556i
$281$	10.7808	+	6.22428i	0.643127	+	0.371309i	0.785818	−	0.618458i	$-0.212242\pi$
$281$	10.7808	+	6.22428i	0.643127	+	0.371309i	−0.142691	+	0.989767i	$0.545576\pi$
$282$	−1.56146	+	2.50212i	−0.0929835	+	0.148999i
$283$	−2.27781	+	8.50090i	−0.135402	+	0.505326i	0.864594	+	0.502471i	$0.167575\pi$
$283$	−2.27781	+	8.50090i	−0.135402	+	0.505326i	−0.999996	+	0.00285517i	$0.999091\pi$
$284$	4.10865	+	1.10091i	0.243803	+	0.0653269i
$285$	0.169316	+	0.731427i	0.0100294	+	0.0433260i
$286$	0.546807	+	2.04071i	0.0323334	+	0.120670i
$287$		−	12.4109i		−	0.732595i
$288$	0.407046	−	5.92091i	0.0239854	−	0.348893i
$289$	15.9721	−	5.82166i	0.939536	−	0.342451i
$290$	−0.0864274	+	0.149697i	−0.00507519	+	0.00879049i
$291$	16.8790	+	18.0792i	0.989465	+	1.05982i
$292$	11.5163	+	3.08578i	0.673940	+	0.180582i
$293$	−8.30079	−	14.3774i	−0.484937	−	0.839936i	0.514913	−	0.857242i	$-0.327824\pi$
$293$	−8.30079	−	14.3774i	−0.484937	−	0.839936i	−0.999850	+	0.0173065i	$0.994491\pi$
$294$	0.161192	−	0.0858289i	0.00940093	−	0.00500564i
$295$	−8.37794	+	2.24486i	−0.487782	+	0.130701i
$296$	2.52299	+	2.52299i	0.146646	+	0.146646i
$297$	3.12330	+	19.4975i	0.181232	+	1.13136i
$298$		−	1.34240i		−	0.0777634i
$299$	23.4745	−	6.28996i	1.35756	−	0.363758i
$300$	−3.06810	−	5.76209i	−0.177137	−	0.332675i
$301$	26.4404	+	7.08469i	1.52400	+	0.408355i
$302$	0.882830	+	1.52911i	0.0508012	+	0.0879902i
$303$	0.878640	−	25.5916i	0.0504766	−	1.47020i
$304$	0.818390	+	0.472498i	0.0469379	+	0.0270996i
$305$	9.83341			0.563059
$306$	−1.67954	+	1.22386i	−0.0960130	+	0.0699636i
$307$	−17.3374			−0.989498			−0.494749	−	0.869036i	$-0.664740\pi$
$307$	−17.3374			−0.989498			−0.494749	+	0.869036i	$0.664740\pi$
$308$	−17.9217	−	10.3471i	−1.02118	−	0.589580i
$309$	0.909513	+	0.567585i	0.0517404	+	0.0322888i
$310$	1.46637	+	2.53984i	0.0832845	+	0.144253i
$311$	28.9268	+	7.75092i	1.64029	+	0.439514i	0.956871	−	0.290512i	$-0.0938256\pi$
$311$	28.9268	+	7.75092i	1.64029	+	0.439514i	0.683419	+	0.730026i	$0.260492\pi$
$312$	−2.02482	+	3.24462i	−0.114633	+	0.183691i
$313$	−6.44953	+	1.72815i	−0.364549	+	0.0976806i	−0.436444	−	0.899732i	$-0.643762\pi$
$313$	−6.44953	+	1.72815i	−0.364549	+	0.0976806i	0.0718945	+	0.997412i	$0.477096\pi$
$314$		−	1.39820i		−	0.0789050i
$315$	8.12823	−	12.0812i	0.457974	−	0.680697i
$316$	10.0417	+	10.0417i	0.564889	+	0.564889i
$317$	−18.9719	+	5.08351i	−1.06557	+	0.285519i	−0.748672	−	0.662941i	$-0.769308\pi$
$317$	−18.9719	+	5.08351i	−1.06557	+	0.285519i	−0.316898	+	0.948460i	$0.602641\pi$
$318$	−0.0231288	+	0.673659i	−0.00129700	+	0.0377769i
$319$	−1.11235	−	1.92665i	−0.0622797	−	0.107872i
$320$	12.4438	+	3.33432i	0.695632	+	0.186394i
$321$	−2.55423	+	8.37207i	−0.142563	+	0.467283i
$322$	1.70387	−	2.95119i	0.0949530	−	0.164463i
$323$	−0.176818	−	1.00144i	−0.00983842	−	0.0557218i
$324$	−10.8926	+	14.0096i	−0.605147	+	0.778312i
$325$			6.32517i			0.350857i
$326$	−0.560154	−	2.09052i	−0.0310240	−	0.115783i
$327$	−22.6269	−	6.90321i	−1.25127	−	0.381748i
$328$	2.89648	+	0.776110i	0.159932	+	0.0428535i
$329$	−7.24481	+	27.0380i	−0.399419	+	1.49065i
$330$	1.94228	+	0.0666844i	0.106919	+	0.00367086i
$331$	−19.1866	−	11.0774i	−1.05459	−	0.608870i	−0.130662	−	0.991427i	$-0.541710\pi$
$331$	−19.1866	−	11.0774i	−1.05459	−	0.608870i	−0.923932	+	0.382557i	$0.875043\pi$
$332$			2.39546i			0.131468i
$333$	−3.07929	−	15.7429i	−0.168744	−	0.862704i
$334$	−2.80328	−	2.80328i	−0.153389	−	0.153389i
$335$	2.70365	+	10.0902i	0.147716	+	0.551285i
$336$	−4.13338	−	17.8558i	−0.225495	−	0.974115i
$337$	11.1359	+	2.98385i	0.606611	+	0.162541i	0.549034	−	0.835800i	$-0.314996\pi$
$337$	11.1359	+	2.98385i	0.606611	+	0.162541i	0.0575769	+	0.998341i	$0.481663\pi$
$338$	−0.298261	+	0.172201i	−0.0162232	+	0.00936649i
$339$	−2.99442	−	12.9356i	−0.162634	−	0.702565i
$340$	−6.04116	−	12.9476i	−0.327628	−	0.702180i
$341$	−37.7455			−2.04404
$342$	0.0546268	+	0.111669i	0.00295388	+	0.00603835i
$343$	−12.4447	+	12.4447i	−0.671949	+	0.671949i
$344$	−3.30687	+	5.72767i	−0.178294	+	0.308815i
$345$	0.767075	−	22.3421i	0.0412979	−	1.20286i
$346$	0.446142	−	1.66503i	0.0239848	−	0.0895123i
$347$	6.21167	−	23.1823i	0.333460	−	1.24449i	−0.572070	−	0.820205i	$-0.693859\pi$
$347$	6.21167	−	23.1823i	0.333460	−	1.24449i	0.905529	−	0.424284i	$-0.139474\pi$
$348$	0.583434	−	1.91234i	0.0312753	−	0.102512i
$349$	−13.5174	−	7.80427i	−0.723569	−	0.417753i	0.0924956	−	0.995713i	$-0.470516\pi$
$349$	−13.5174	−	7.80427i	−0.723569	−	0.417753i	−0.816065	+	0.577960i	$0.803849\pi$
$350$	0.627151	+	0.627151i	0.0335226	+	0.0335226i
$351$	15.6957	−	7.02130i	0.837772	−	0.374769i
$352$	5.31587	−	5.31587i	0.283337	−	0.283337i
$353$	−4.53430	+	7.85363i	−0.241336	+	0.418007i	−0.961095	−	0.276217i	$-0.910919\pi$
$353$	−4.53430	+	7.85363i	−0.241336	+	0.418007i	0.719759	+	0.694224i	$0.244252\pi$
$354$	−1.26767	+	0.674988i	−0.0673760	+	0.0358752i
$355$	−3.28326	+	1.89559i	−0.174258	+	0.100608i
$356$	6.11745	+	10.5957i	0.324224	+	0.561573i
$357$	−11.8569	+	15.7613i	−0.627532	+	0.834179i
$358$	0.500102	−	0.866203i	0.0264312	−	0.0457802i
$359$			28.0711i			1.48153i	0.671762	+	0.740767i	$0.265538\pi$
$359$			28.0711i			1.48153i	−0.671762	+	0.740767i	$0.734462\pi$
$360$	2.31123	+	2.65247i	0.121812	+	0.139797i
$361$	18.9392			0.996798
$362$	0.102531	+	0.382650i	0.00538889	+	0.0201116i
$363$	−3.15534	+	5.05620i	−0.165612	+	0.265382i
$364$	−4.66396	+	17.4061i	−0.244458	+	0.912329i
$365$	−9.20279	+	5.31323i	−0.481696	+	0.278107i
$366$	1.58629	−	0.367205i	0.0829168	−	0.0191941i
$367$	−7.01473	+	1.87959i	−0.366166	+	0.0981139i	−0.437210	−	0.899359i	$-0.644034\pi$
$367$	−7.01473	+	1.87959i	−0.366166	+	0.0981139i	0.0710443	+	0.997473i	$0.477367\pi$
$368$	−19.8971	−	19.8971i	−1.03721	−	1.03721i
$369$	−8.85650	−	10.1641i	−0.461051	−	0.529122i
$370$	−1.57879			−0.0820772
$371$	1.65574	+	6.17932i	0.0859620	+	0.320814i
$372$	−23.1495	−	24.7956i	−1.20024	−	1.28559i
$373$	12.0179	+	20.8157i	0.622265	+	1.07779i	0.989063	+	0.147494i	$0.0471206\pi$
$373$	12.0179	+	20.8157i	0.622265	+	1.07779i	−0.366798	+	0.930301i	$0.619546\pi$
$374$	−2.62245	−	0.228829i	−0.135604	−	0.0118325i
$375$	20.1225	+	6.13914i	1.03912	+	0.317024i
$376$	−5.85711	−	3.38161i	−0.302058	−	0.174393i
$377$	−1.36983	+	1.36983i	−0.0705499	+	0.0705499i
$378$	0.860077	−	2.25242i	0.0442376	−	0.115852i
$379$	3.21502	−	3.21502i	0.165145	−	0.165145i	−0.619697	−	0.784841i	$-0.712744\pi$
$379$	3.21502	−	3.21502i	0.165145	−	0.165145i	0.784841	+	0.619697i	$0.212744\pi$
$380$	−0.825555	+	0.221207i	−0.0423501	+	0.0113477i
$381$	10.5635	+	19.8389i	0.541182	+	1.01638i
$382$	−2.57594	+	1.48722i	−0.131797	+	0.0760928i
$383$	−33.1661	+	19.1485i	−1.69471	+	0.978441i	−0.744091	+	0.668078i	$0.767117\pi$
$383$	−33.1661	+	19.1485i	−1.69471	+	0.978441i	−0.950618	+	0.310363i	$0.899549\pi$
$384$	8.98089	+	0.308342i	0.458304	+	0.0157350i
$385$	17.8161	−	4.77381i	0.907992	−	0.243296i
$386$	0.959268	−	0.959268i	0.0488254	−	0.0488254i
$387$	26.7094	−	13.0659i	1.35772	−	0.664176i
$388$	−19.9100	+	19.9100i	−1.01078	+	1.01078i
$389$	−3.14581	−	1.81624i	−0.159499	−	0.0920868i	0.418126	−	0.908389i	$-0.362687\pi$
$389$	−3.14581	−	1.81624i	−0.159499	−	0.0920868i	−0.577625	+	0.816302i	$0.696020\pi$
$390$	−0.381653	−	1.64870i	−0.0193257	−	0.0834853i
$391$	−2.63224	+	30.1662i	−0.133118	+	1.52557i
$392$	0.209382	+	0.362660i	0.0105754	+	0.0183171i
$393$	26.2070	−	6.06658i	1.32197	−	0.306018i
$394$	0.238784	+	0.891156i	0.0120298	+	0.0448958i
$395$	−12.6573			−0.636859
$396$	−22.0609	+	4.31509i	−1.10860	+	0.216842i
$397$	−2.82316	−	2.82316i	−0.141690	−	0.141690i	0.632704	−	0.774394i	$-0.281945\pi$
$397$	−2.82316	−	2.82316i	−0.141690	−	0.141690i	−0.774394	+	0.632704i	$0.781945\pi$
$398$	0.849927	−	0.227737i	0.0426030	−	0.0114154i
$399$	0.805153	+	0.862405i	0.0403080	+	0.0431743i
$400$	6.34243	−	3.66180i	0.317122	−	0.183090i
$401$	6.98455	−	26.0667i	0.348792	−	1.30171i	−0.539327	−	0.842096i	$-0.681321\pi$
$401$	6.98455	−	26.0667i	0.348792	−	1.30171i	0.888119	−	0.459613i	$-0.152012\pi$
$402$	0.812937	+	1.52675i	0.0405456	+	0.0761474i
$403$	8.50692	+	31.7482i	0.423760	+	1.58149i
$404$	29.1508			1.45031
$405$	−1.96444	−	15.6944i	−0.0976138	−	0.779860i
$406$			0.271642i			0.0134814i
$407$	10.1598	−	17.5972i	0.503601	−	0.872263i
$408$	−2.93694	−	3.75280i	−0.145400	−	0.185791i
$409$	2.28554	+	3.95866i	0.113012	+	0.195743i	0.916984	−	0.398925i	$-0.130617\pi$
$409$	2.28554	+	3.95866i	0.113012	+	0.195743i	−0.803971	+	0.594668i	$0.797283\pi$
$410$	−1.14908	+	0.663422i	−0.0567491	+	0.0327641i
$411$	0.517389	−	15.0697i	0.0255209	−	0.743332i
$412$	−0.610233	+	1.05695i	−0.0300640	+	0.0520724i
$413$	−9.63816	+	9.63816i	−0.474263	+	0.474263i
$414$	−0.710573	−	3.63281i	−0.0349227	−	0.178543i
$415$	−1.50971	−	1.50971i	−0.0741087	−	0.0741087i
$416$	−5.66931	−	3.27318i	−0.277961	−	0.160481i
$417$	5.26821	−	1.21952i	0.257985	−	0.0597201i
$418$	−0.0407562	+	0.152104i	−0.00199345	+	0.00743966i
$419$	9.98956	−	37.2815i	0.488022	−	1.82132i	−0.0780270	−	0.996951i	$-0.524862\pi$
$419$	9.98956	−	37.2815i	0.488022	−	1.82132i	0.566049	−	0.824372i	$-0.308471\pi$
$420$	14.0626	+	8.77585i	0.686187	+	0.428217i
$421$	−4.16499	+	7.21398i	−0.202989	+	0.351588i	−0.949490	−	0.313797i	$-0.898399\pi$
$421$	−4.16499	+	7.21398i	−0.202989	+	0.351588i	0.746501	+	0.665384i	$0.231732\pi$
$422$	−1.89135	+	1.89135i	−0.0920694	+	0.0920694i
$423$	13.3612	+	27.3130i	0.649643	+	1.32801i
$424$	−1.54568			−0.0750648
$425$	−7.40645	−	2.69381i	−0.359265	−	0.130669i
$426$	−0.458859	+	0.428396i	−0.0222318	+	0.0207559i
$427$	13.3829	−	7.72662i	0.647644	−	0.373917i
$428$	−9.62496	−	2.57900i	−0.465240	−	0.124661i
$429$	20.8325	+	6.35578i	1.00580	+	0.306860i
$430$	−0.757419	−	2.82673i	−0.0365260	−	0.136317i
$431$	−14.4665	−	14.4665i	−0.696828	−	0.696828i	0.266897	−	0.963725i	$-0.414002\pi$
$431$	−14.4665	−	14.4665i	−0.696828	−	0.696828i	−0.963725	+	0.266897i	$0.914002\pi$
$432$	−16.1271	−	11.6737i	−0.775914	−	0.561650i
$433$		−	26.1393i		−	1.25617i	−0.778143	−	0.628087i	$-0.783838\pi$
$433$		−	26.1393i		−	1.25617i	0.778143	−	0.628087i	$-0.216162\pi$
$434$	3.99136	+	2.30441i	0.191592	+	0.110615i
$435$	0.837528	+	1.57293i	0.0401564	+	0.0754164i
$436$	6.97016	−	26.0130i	0.333810	−	1.24580i
$437$	1.74967	+	0.468821i	0.0836978	+	0.0224268i
$438$	−1.28615	+	1.20077i	−0.0614548	+	0.0573750i
$439$	4.49687	+	16.7825i	0.214624	+	0.800987i	0.986299	+	0.164969i	$0.0527526\pi$
$439$	4.49687	+	16.7825i	0.214624	+	0.800987i	−0.771675	+	0.636017i	$0.780581\pi$
$440$			4.45647i			0.212454i
$441$	0.129124	−	1.87824i	0.00614876	−	0.0894400i
$442$	0.398564	+	2.25735i	0.0189578	+	0.107371i
$443$	1.12430	−	1.94735i	0.0534171	−	0.0925212i	−0.838080	−	0.545547i	$-0.816322\pi$
$443$	1.12430	−	1.94735i	0.0534171	−	0.0925212i	0.891498	+	0.453026i	$0.149655\pi$
$444$	17.7909	−	4.11835i	0.844319	−	0.195448i
$445$	−10.5333	−	2.82239i	−0.499326	−	0.133794i
$446$	−0.00725166	−	0.0125602i	−0.000343376	−	0.000594745i
$447$	−11.7407	−	7.32681i	−0.555315	−	0.346546i
$448$	19.5556	−	5.23990i	0.923913	−	0.247562i
$449$	−6.40152	−	6.40152i	−0.302107	−	0.302107i	0.539731	−	0.841838i	$-0.318526\pi$
$449$	−6.40152	−	6.40152i	−0.302107	−	0.302107i	−0.841838	+	0.539731i	$0.818526\pi$
$450$	0.961151	+	0.0660765i	0.0453091	+	0.00311488i
$451$		−	17.0770i		−	0.804123i
$452$	14.6003	−	3.91214i	0.686740	−	0.184011i
$453$	18.1920	+	0.624589i	0.854736	+	0.0293457i
$454$	−4.50922	−	1.20824i	−0.211628	−	0.0567056i
$455$	−8.03061	−	13.9094i	−0.376481	−	0.652084i
$456$	−0.251619	+	0.133978i	−0.0117831	+	0.00627408i
$457$	27.1162	+	15.6556i	1.26844	+	0.732337i	0.974694	−	0.223545i	$-0.0717631\pi$
$457$	27.1162	+	15.6556i	1.26844	+	0.732337i	0.293751	+	0.955882i	$0.405096\pi$
$458$	−4.74072			−0.221519
$459$	1.53701	+	21.3691i	0.0717414	+	0.997423i
$460$	25.4494			1.18658
$461$	18.4986	+	10.6802i	0.861567	+	0.497426i	0.864537	−	0.502570i	$-0.167612\pi$
$461$	18.4986	+	10.6802i	0.861567	+	0.497426i	−0.00296968	+	0.999996i	$0.500945\pi$
$462$	2.69577	−	1.43539i	0.125418	−	0.0667806i
$463$	3.99696	+	6.92294i	0.185754	+	0.321736i	0.943830	−	0.330430i	$-0.107194\pi$
$463$	3.99696	+	6.92294i	0.185754	+	0.321736i	−0.758076	+	0.652166i	$0.773860\pi$
$464$	2.16660	+	0.580539i	0.100582	+	0.0269508i
$465$	30.2168	+	1.03744i	1.40127	+	0.0481100i
$466$	−4.30380	+	1.15320i	−0.199370	+	0.0534210i
$467$			17.4539i			0.807672i	0.914831	+	0.403836i	$0.132323\pi$
$467$			17.4539i			0.807672i	−0.914831	+	0.403836i	$0.867677\pi$
$468$	8.60147	+	17.5832i	0.397603	+	0.812784i
$469$	11.6079	+	11.6079i	0.536005	+	0.536005i
$470$	2.89061	−	0.774537i	0.133334	−	0.0357267i
$471$	−12.2287	−	7.63134i	−0.563467	−	0.351633i
$472$	−1.64665	−	2.85208i	−0.0757932	−	0.131278i
$473$	36.3810	+	9.74825i	1.67280	+	0.448225i
$474$	−2.04184	+	0.472658i	−0.0937847	+	0.0217099i
$475$	−0.235723	+	0.408284i	−0.0108157	+	0.0187334i
$476$	−18.3954	−	12.8743i	−0.843150	−	0.590092i
$477$	5.76558	+	3.87909i	0.263988	+	0.177612i
$478$		−	0.673634i		−	0.0308113i
$479$	−3.38034	−	12.6156i	−0.154452	−	0.576422i	−0.999152	−	0.0411817i	$-0.986888\pi$
$479$	−3.38034	−	12.6156i	−0.154452	−	0.576422i	0.844700	−	0.535240i	$-0.179779\pi$
$480$	−4.40168	+	4.10947i	−0.200908	+	0.187571i
$481$	−17.0910	−	4.57953i	−0.779283	−	0.208808i
$482$	−0.501121	+	1.87021i	−0.0228254	+	0.0851857i
$483$	−16.5114	−	31.0096i	−0.751296	−	1.41098i
$484$	−5.87586	−	3.39243i	−0.267085	−	0.154201i
$485$		−	25.0961i		−	1.13956i
$486$	−0.902966	−	2.45841i	−0.0409594	−	0.111516i
$487$	12.1972	+	12.1972i	0.552710	+	0.552710i	0.927222	−	0.374512i	$-0.122190\pi$
$487$	12.1972	+	12.1972i	0.552710	+	0.552710i	−0.374512	+	0.927222i	$0.622190\pi$
$488$	0.966359	+	3.60650i	0.0437450	+	0.163259i
$489$	−21.3410	−	6.51091i	−0.965074	−	0.294433i
$490$	−0.178980	−	0.0479577i	−0.00808551	−	0.00216651i
$491$	4.77055	−	2.75428i	0.215292	−	0.124299i	−0.388476	−	0.921459i	$-0.626999\pi$
$491$	4.77055	−	2.75428i	0.215292	−	0.124299i	0.603768	+	0.797160i	$0.293665\pi$
$492$	11.2181	−	10.4734i	0.505751	−	0.472176i
$493$	−1.02061	−	2.18739i	−0.0459659	−	0.0985153i
$494$	0.137122			0.00616942
$495$	11.1841	−	16.6232i	0.502689	−	0.747157i
$496$	26.9100	−	26.9100i	1.20829	−	1.20829i
$497$	−2.97893	+	5.15966i	−0.133623	+	0.231443i
$498$	−0.299918	−	0.187165i	−0.0134396	−	0.00838706i
$499$	6.90443	−	25.7677i	0.309085	−	1.15352i	−0.620287	−	0.784375i	$-0.712984\pi$
$499$	6.90443	−	25.7677i	0.309085	−	1.15352i	0.929372	−	0.369145i	$-0.120349\pi$
$500$	−6.19869	+	23.1338i	−0.277214	+	1.03458i
$501$	−39.8177	+	9.21726i	−1.77892	+	0.411797i
$502$	−1.73563	−	1.00207i	−0.0774650	−	0.0447244i
$503$	−16.9400	−	16.9400i	−0.755316	−	0.755316i	0.220150	−	0.975466i	$-0.429345\pi$
$503$	−16.9400	−	16.9400i	−0.755316	−	0.755316i	−0.975466	+	0.220150i	$0.929345\pi$
$504$	5.22967	+	1.79386i	0.232948	+	0.0799047i
$505$	−18.3720	+	18.3720i	−0.817541	+	0.817541i
$506$	2.34446	−	4.06072i	0.104224	−	0.180521i
$507$	−0.121830	+	3.54846i	−0.00541064	+	0.157592i
$508$	−22.1587	+	12.7933i	−0.983134	+	0.567613i
$509$	−8.31057	−	14.3943i	−0.368359	−	0.638017i	0.620950	−	0.783850i	$-0.286747\pi$
$509$	−8.31057	−	14.3943i	−0.368359	−	0.638017i	−0.989309	+	0.145833i	$0.953414\pi$
$510$	2.09309	+	0.255265i	0.0926834	+	0.0113033i
$511$	−8.34977	+	14.4622i	−0.369372	+	0.639771i
$512$			12.6931i			0.560960i
$513$	1.27481	+	0.131718i	0.0562841	+	0.00581551i
$514$	4.13512			0.182392
$515$	−0.281541	−	1.05073i	−0.0124062	−	0.0463005i
$516$	15.9088	+	29.8778i	0.700347	+	1.31530i
$517$	−9.96856	+	37.2032i	−0.438417	+	1.63619i
$518$	−2.14867	+	1.24053i	−0.0944071	+	0.0545060i
$519$	−12.1273	−	12.9896i	−0.532329	−	0.570181i
$520$	3.74839	−	1.00438i	0.164378	−	0.0440449i
$521$	21.8725	+	21.8725i	0.958250	+	0.958250i	0.999163	−	0.0409126i	$-0.0130265\pi$
$521$	21.8725	+	21.8725i	0.958250	+	0.958250i	−0.0409126	+	0.999163i	$0.513027\pi$
$522$	0.193845	+	0.222465i	0.00848436	+	0.00973702i
$523$	−15.3304			−0.670351			−0.335176	−	0.942156i	$-0.608796\pi$
$523$	−15.3304			−0.670351			−0.335176	+	0.942156i	$0.608796\pi$
$524$	7.92585	+	29.5797i	0.346242	+	1.29219i
$525$	8.90803	−	2.06209i	0.388778	−	0.0899970i
$526$	2.25500	+	3.90578i	0.0983229	+	0.170300i
$527$	−40.7985	−	3.55999i	−1.77721	−	0.155076i
$528$	−5.68737	−	24.5689i	−0.247511	−	1.06922i
$529$	−26.7921	−	15.4684i	−1.16487	−	0.672541i
$530$	0.483612	−	0.483612i	0.0210068	−	0.0210068i
$531$	−1.01547	+	14.7711i	−0.0440678	+	0.641012i
$532$	−0.949736	+	0.949736i	−0.0411763	+	0.0411763i
$533$	−14.3636	+	3.84873i	−0.622158	+	0.166707i
$534$	−1.80459	−	0.0619573i	−0.0780924	−	0.00268115i
$535$	7.69141	−	4.44064i	0.332529	−	0.191985i
$536$	−3.43497	+	1.98318i	−0.148368	+	0.0856604i
$537$	−4.84626	−	9.10161i	−0.209132	−	0.392763i
$538$	0.00354045		0.000948661i	0.000152640		4.08997e-5i
$539$	1.68631	−	1.68631i	0.0726345	−	0.0726345i
$540$	17.7793	−	2.84806i	0.765098	−	0.122561i
$541$	2.92537	−	2.92537i	0.125771	−	0.125771i	−0.641419	−	0.767191i	$-0.721654\pi$
$541$	2.92537	−	2.92537i	0.125771	−	0.125771i	0.767191	+	0.641419i	$0.221654\pi$
$542$	3.58534	+	2.07000i	0.154003	+	0.0889139i
$543$	3.90626	+	1.19176i	0.167634	+	0.0511432i
$544$	6.24721	−	5.24447i	0.267847	−	0.224855i
$545$	12.0015	+	20.7873i	0.514089	+	0.890429i
$546$	−1.81489	−	1.94394i	−0.0776700	−	0.0831929i
$547$	2.43222	+	9.07717i	0.103994	+	0.388112i	0.998229	−	0.0594862i	$-0.0189462\pi$
$547$	2.43222	+	9.07717i	0.103994	+	0.388112i	−0.894235	+	0.447598i	$0.852280\pi$
$548$	17.1655			0.733273
$549$	5.44636	−	15.8779i	0.232445	−	0.677653i
$550$	0.862935	+	0.862935i	0.0367957	+	0.0367957i
$551$	−0.139471	+	0.0373713i	−0.00594168	+	0.00159207i
$552$	8.26959	−	1.91430i	0.351977	−	0.0814779i
$553$	−17.2261	+	9.94552i	−0.732530	+	0.422927i
$554$	−0.657098	+	2.45232i	−0.0279174	+	0.104189i
$555$	−8.61697	+	13.8081i	−0.365770	+	0.586120i
$556$	1.59327	+	5.94618i	0.0675698	+	0.252174i
$557$	−5.26180			−0.222949			−0.111475	−	0.993767i	$-0.535557\pi$
$557$	−5.26180			−0.222949			−0.111475	+	0.993767i	$0.535557\pi$
$558$	4.91322	−	0.961020i	0.207993	−	0.0406832i
$559$		−	32.7975i		−	1.38719i
$560$	−9.29826	+	16.1051i	−0.392923	+	0.680563i
$561$	−16.3146	+	21.6870i	−0.688802	+	0.915625i
$562$	−1.04573	−	1.81126i	−0.0441115	−	0.0764033i
$563$	16.1746	−	9.33840i	0.681677	−	0.393567i	−0.118809	−	0.992917i	$-0.537908\pi$
$563$	16.1746	−	9.33840i	0.681677	−	0.393567i	0.800487	+	0.599350i	$0.204574\pi$
$564$	−30.5531	+	16.2684i	−1.28652	+	0.685021i
$565$	−6.73609	+	11.6673i	−0.283389	+	0.490845i
$566$	1.04553	−	1.04553i	0.0439469	−	0.0439469i
$567$	−15.0054	−	19.8159i	−0.630168	−	0.832189i
$568$	−1.01788	−	1.01788i	−0.0427095	−	0.0427095i
$569$	−38.4389	−	22.1927i	−1.61144	−	0.930367i	−0.989036	−	0.147672i	$-0.952822\pi$
$569$	−38.4389	−	22.1927i	−1.61144	−	0.930367i	−0.622406	−	0.782695i	$-0.713845\pi$
$570$	0.0368076	−	0.120645i	0.00154170	−	0.00505328i
$571$	6.87975	−	25.6756i	0.287909	−	1.07449i	−0.658779	−	0.752336i	$-0.728927\pi$
$571$	6.87975	−	25.6756i	0.287909	−	1.07449i	0.946688	−	0.322153i	$-0.104407\pi$
$572$	−6.41742	+	23.9501i	−0.268326	+	1.00141i
$573$	−1.05219	+	30.6464i	−0.0439557	+	1.28027i
$574$	−1.04257	+	1.80579i	−0.0435161	+	0.0753720i
$575$	9.92639	−	9.92639i	0.413959	−	0.413959i
$576$	12.2761	−	18.2462i	0.511503	−	0.760259i
$577$	16.4724			0.685756			0.342878	−	0.939380i	$-0.388598\pi$
$577$	16.4724			0.685756			0.342878	+	0.939380i	$0.388598\pi$
$578$	−2.81298	−	0.494675i	−0.117004	−	0.0205758i
$579$	−3.15410	−	13.6254i	−0.131080	−	0.566253i
$580$	−1.75686	+	1.01433i	−0.0729498	+	0.0421176i
$581$	−3.24092	−	0.868401i	−0.134456	−	0.0360273i
$582$	−0.937156	−	4.04842i	−0.0388464	−	0.167813i
$583$	2.27824	+	8.50250i	0.0943550	+	0.352138i
$584$	−2.85307	−	2.85307i	−0.118061	−	0.118061i
$585$	−16.5026	−	5.66064i	−0.682299	−	0.234039i
$586$			2.78920i			0.115221i
$587$	−5.53498	−	3.19562i	−0.228453	−	0.131897i	0.381405	−	0.924408i	$-0.375440\pi$
$587$	−5.53498	−	3.19562i	−0.228453	−	0.131897i	−0.609858	+	0.792511i	$0.708774\pi$
$588$	2.14198	+	0.0735409i	0.0883338	+	0.00303277i
$589$	−0.634062	+	2.36635i	−0.0261261	+	0.0975038i
$590$	1.40756	+	0.377155i	0.0579485	+	0.0155272i
$591$	9.09733	+	2.77549i	0.374214	+	0.114169i
$592$	5.30241	+	19.7889i	0.217928	+	0.813317i
$593$			21.0370i			0.863887i	0.901901	+	0.431943i	$0.142172\pi$
$593$			21.0370i			0.863887i	−0.901901	+	0.431943i	$0.857828\pi$
$594$	1.18343	−	3.09924i	0.0485568	−	0.127164i
$595$	19.7074	−	3.47959i	0.807923	−	0.142649i
$596$	7.87734	−	13.6440i	0.322669	−	0.558878i
$597$	2.64709	−	8.67645i	0.108338	−	0.355103i
$598$	−3.94390	−	1.05677i	−0.161278	−	0.0432144i
$599$	−11.1011	−	19.2276i	−0.453578	−	0.785620i	0.545027	−	0.838418i	$-0.316519\pi$
$599$	−11.1011	−	19.2276i	−0.453578	−	0.785620i	−0.998605	+	0.0527982i	$0.983186\pi$
$600$	−0.0758048	+	2.20792i	−0.00309472	+	0.0901380i
$601$	−2.83266	+	0.759009i	−0.115547	+	0.0309606i	−0.316129	−	0.948716i	$-0.602383\pi$
$601$	−2.83266	+	0.759009i	−0.115547	+	0.0309606i	0.200582	+	0.979677i	$0.435717\pi$
$602$	−3.25192	−	3.25192i	−0.132539	−	0.132539i
$603$	17.7900	+	1.22301i	0.724463	+	0.0498048i
$604$			20.7221i			0.843169i
$605$	5.84124	−	1.56516i	0.237480	−	0.0636326i
$606$	−2.27765	+	3.64976i	−0.0925230	+	0.148261i
$607$	−8.76551	−	2.34871i	−0.355781	−	0.0953313i	0.0765014	−	0.997069i	$-0.475625\pi$
$607$	−8.76551	−	2.34871i	−0.355781	−	0.0953313i	−0.432283	+	0.901738i	$0.642292\pi$
$608$	−0.243966	−	0.422562i	−0.00989413	−	0.0171371i
$609$	2.37578	+	1.48261i	0.0962715	+	0.0600786i
$610$	−1.43076	−	0.826047i	−0.0579296	−	0.0334457i
$611$	33.5387			1.35683
$612$	−24.2523	+	2.58342i	−0.980340	+	0.104429i
$613$	−5.51225			−0.222638			−0.111319	−	0.993785i	$-0.535507\pi$
$613$	−5.51225			−0.222638			−0.111319	+	0.993785i	$0.535507\pi$
$614$	2.52258	+	1.45641i	0.101803	+	0.0587761i
$615$	−0.469361	+	13.6708i	−0.0189265	+	0.551260i
$616$	3.50168	+	6.06509i	0.141087	+	0.244369i
$617$	2.30831	+	0.618510i	0.0929290	+	0.0249003i	0.304984	−	0.952357i	$-0.401349\pi$
$617$	2.30831	+	0.618510i	0.0929290	+	0.0249003i	−0.212055	+	0.977258i	$0.568016\pi$
$618$	−0.0846542	−	0.158986i	−0.00340529	−	0.00639536i
$619$	−2.14996	+	0.576081i	−0.0864143	+	0.0231546i	−0.301767	−	0.953382i	$-0.597577\pi$
$619$	−2.14996	+	0.576081i	−0.0864143	+	0.0231546i	0.215353	+	0.976536i	$0.430910\pi$
$620$			34.4192i			1.38231i
$621$	−35.6508	−	13.6131i	−1.43062	−	0.546274i
$622$	−3.55773	−	3.55773i	−0.142652	−	0.142652i
$623$	−16.5531	+	4.43540i	−0.663187	+	0.177700i
$624$	−19.3834	+	10.3209i	−0.775958	+	0.413168i
$625$	−5.89454	−	10.2096i	−0.235782	−	0.408386i
$626$	1.08358	+	0.290343i	0.0433084	+	0.0116044i
$627$	1.10786	+	1.18663i	0.0442436	+	0.0473896i
$628$	8.20475	−	14.2110i	0.327405	−	0.567082i
$629$	12.6412	−	18.0623i	0.504038	−	0.720193i
$630$	−2.19752	+	1.07500i	−0.0875513	+	0.0428289i
$631$		−	19.5356i		−	0.777699i	−0.921301	−	0.388850i	$-0.872873\pi$
$631$		−	19.5356i		−	0.777699i	0.921301	−	0.388850i	$-0.127127\pi$
$632$	−1.24387	−	4.64220i	−0.0494786	−	0.184657i
$633$	6.21881	+	26.8647i	0.247175	+	1.06777i
$634$	3.18744	+	0.854073i	0.126590	+	0.0339196i
$635$	5.90242	−	22.0281i	0.234230	−	0.874160i
$636$	−4.18816	+	6.71122i	−0.166071	+	0.266117i
$637$	−1.79843	−	1.03832i	−0.0712564	−	0.0411399i
$638$			0.373769i			0.0147976i
$639$	1.24232	+	6.35135i	0.0491453	+	0.251256i
$640$	−6.44728	−	6.44728i	−0.254851	−	0.254851i
$641$	10.6411	+	39.7130i	0.420297	+	1.56857i	0.773984	+	0.633205i	$0.218261\pi$
$641$	10.6411	+	39.7130i	0.420297	+	1.56857i	−0.353687	+	0.935364i	$0.615072\pi$
$642$	1.07493	−	1.00357i	0.0424240	−	0.0396076i
$643$	−34.2641	−	9.18104i	−1.35125	−	0.362065i	−0.490651	−	0.871356i	$-0.663241\pi$
$643$	−34.2641	−	9.18104i	−1.35125	−	0.362065i	−0.860594	+	0.509291i	$0.829908\pi$
$644$	34.6356	−	19.9969i	1.36484	−	0.787988i
$645$	−28.8565	−	8.80380i	−1.13622	−	0.346649i
$646$	−0.0583985	+	0.160563i	−0.00229766	+	0.00631727i
$647$	−7.39297			−0.290648			−0.145324	−	0.989384i	$-0.546422\pi$
$647$	−7.39297			−0.290648			−0.145324	+	0.989384i	$0.546422\pi$
$648$	5.56302	−	2.26281i	0.218536	−	0.0888916i
$649$	−13.2617	+	13.2617i	−0.520568	+	0.520568i
$650$	0.531341	−	0.920309i	0.0208409	−	0.0360975i
$651$	41.9392	−	22.3310i	1.64373	−	0.875222i
$652$	6.57405	−	24.5347i	0.257460	−	0.960853i
$653$	−10.2730	+	38.3394i	−0.402014	+	1.50034i	0.407482	+	0.913213i	$0.366407\pi$
$653$	−10.2730	+	38.3394i	−0.402014	+	1.50034i	−0.809496	+	0.587125i	$0.800260\pi$
$654$	2.71230	+	2.90516i	0.106059	+	0.113601i
$655$	−23.6374	−	13.6471i	−0.923591	−	0.533235i
$656$	12.1747	+	12.1747i	0.475343	+	0.475343i
$657$	3.48214	+	17.8025i	0.135851	+	0.694540i
$658$	3.32542	−	3.32542i	0.129638	−	0.129638i
$659$	−14.3886	+	24.9219i	−0.560502	+	0.970818i	0.436951	+	0.899486i	$0.356058\pi$
$659$	−14.3886	+	24.9219i	−0.560502	+	0.970818i	−0.997453	+	0.0713325i	$0.977275\pi$
$660$	19.3496	+	12.0752i	0.753184	+	0.470027i
$661$	8.01435	−	4.62709i	0.311722	−	0.179973i	−0.335975	−	0.941871i	$-0.609066\pi$
$661$	8.01435	−	4.62709i	0.311722	−	0.179973i	0.647697	+	0.761898i	$0.275732\pi$
$662$	1.86110	+	3.22352i	0.0723336	+	0.125286i
$663$	21.9181	+	8.83469i	0.851228	+	0.343111i
$664$	0.405337	−	0.702065i	0.0157301	−	0.0272454i
$665$		−	1.19712i		−	0.0464224i
$666$	−0.874432	+	2.54925i	−0.0338835	+	0.0987815i
$667$	4.29948			0.166477
$668$	−12.0421	−	44.9419i	−0.465924	−	1.73885i
$669$	−0.149431	−	0.00513044i	−0.00577735	−	0.000198354i
$670$	0.454236	−	1.69523i	0.0175487	−	0.0654925i
$671$	18.4143	−	10.6315i	0.710878	−	0.410425i
$672$	−2.76150	+	9.05146i	−0.106527	+	0.349168i
$673$	28.8215	−	7.72271i	1.11099	−	0.297689i	0.343757	−	0.939059i	$-0.388300\pi$
$673$	28.8215	−	7.72271i	1.11099	−	0.297689i	0.767232	+	0.641370i	$0.221634\pi$
$674$	−1.36961	−	1.36961i	−0.0527554	−	0.0527554i
$675$	5.82384	−	8.04558i	0.224160	−	0.309675i
$676$	−4.04196			−0.155460
$677$	1.18015	+	4.40437i	0.0453568	+	0.169274i	0.984889	−	0.173187i	$-0.0554064\pi$
$677$	1.18015	+	4.40437i	0.0453568	+	0.169274i	−0.939532	+	0.342460i	$0.888740\pi$
$678$	−0.650958	+	2.13367i	−0.0249999	+	0.0819429i
$679$	−19.7193	−	34.1549i	−0.756759	−	1.31074i
$680$	−0.420314	+	4.81692i	−0.0161183	+	0.184721i
$681$	−35.1785	+	32.8431i	−1.34804	+	1.25855i
$682$	5.49196	+	3.17078i	0.210298	+	0.121416i
$683$	7.46016	−	7.46016i	0.285455	−	0.285455i	−0.549825	−	0.835280i	$-0.685306\pi$
$683$	7.46016	−	7.46016i	0.285455	−	0.285455i	0.835280	+	0.549825i	$0.185306\pi$
$684$	−0.100064	+	1.45553i	−0.00382604	+	0.0556538i
$685$	−10.8184	+	10.8184i	−0.413348	+	0.413348i
$686$	2.85610	−	0.765289i	0.109046	−	0.0292189i
$687$	−25.8747	+	41.4623i	−0.987182	+	1.58189i
$688$	−32.8870	+	18.9873i	−1.25380	+	0.723884i
$689$	6.63810	−	3.83251i	0.252891	−	0.146007i
$690$	−1.98844	+	3.18633i	−0.0756987	+	0.121302i
$691$	5.78958	−	1.55131i	0.220246	−	0.0590148i	−0.147008	−	0.989135i	$-0.546964\pi$
$691$	5.78958	−	1.55131i	0.220246	−	0.0590148i	0.367255	+	0.930120i	$0.380298\pi$
$692$	14.3050	−	14.3050i	0.543795	−	0.543795i
$693$	2.15945	−	31.4115i	0.0820309	−	1.19322i
$694$	−2.85120	+	2.85120i	−0.108230	+	0.108230i
$695$	−4.75165	−	2.74337i	−0.180241	−	0.104062i
$696$	−0.494583	+	0.461749i	−0.0187471	+	0.0175025i
$697$	1.61062	−	18.4582i	0.0610067	−	0.699154i
$698$	1.31118	+	2.27103i	0.0496290	+	0.0859599i
$699$	−13.4041	+	43.9352i	−0.506991	+	1.66178i
$700$	2.69407	+	10.0544i	0.101826	+	0.380021i
$701$	24.6712			0.931819			0.465910	−	0.884832i	$-0.345727\pi$
$701$	24.6712			0.931819			0.465910	+	0.884832i	$0.345727\pi$
$702$	−2.87353	−	0.296905i	−0.108454	−	0.0112060i
$703$	−0.932542	−	0.932542i	−0.0351715	−	0.0351715i
$704$	26.9077	−	7.20989i	1.01412	−	0.271733i
$705$	9.00277	−	29.5087i	0.339064	−	1.11136i
$706$	1.31948	−	0.761800i	0.0496591	−	0.0286707i
$707$	−10.5677	+	39.4393i	−0.397441	+	1.48327i
$708$	−16.8453	−	0.578350i	−0.633084	−	0.0217357i
$709$	−5.50188	−	20.5333i	−0.206627	−	0.771144i	−0.988947	−	0.148267i	$-0.952630\pi$
$709$	−5.50188	−	20.5333i	−0.206627	−	0.771144i	0.782320	−	0.622877i	$-0.214036\pi$
$710$	0.636951			0.0239043
$711$	−7.01043	+	20.4377i	−0.262912	+	0.766472i
$712$		−	4.14056i		−	0.155174i
$713$	36.4737	−	63.1743i	1.36595	−	2.36590i
$714$	3.04919	−	1.29724i	0.114113	−	0.0485480i
$715$	−11.0498	−	19.1388i	−0.413239	−	0.715751i
$716$	10.1659	−	5.86928i	0.379917	−	0.219345i
$717$	−5.89160	−	3.67668i	−0.220026	−	0.137308i
$718$	2.35809	−	4.08433i	0.0880030	−	0.152426i
$719$	6.22104	−	6.22104i	0.232005	−	0.232005i	−0.581524	−	0.813529i	$-0.697543\pi$
$719$	6.22104	−	6.22104i	0.232005	−	0.232005i	0.813529	+	0.581524i	$0.197543\pi$
$720$	3.87769	+	19.8247i	0.144513	+	0.738824i
$721$	−1.20878	−	1.20878i	−0.0450172	−	0.0450172i
$722$	−2.75564	−	1.59097i	−0.102554	−	0.0592097i
$723$	13.6218	+	14.5904i	0.506598	+	0.542621i
$724$	−1.20332	+	4.49084i	−0.0447209	+	0.166901i
$725$	−0.289623	+	1.08089i	−0.0107563	+	0.0401432i
$726$	0.883843	−	0.470613i	0.0328025	−	0.0174661i
$727$	15.3122	−	26.5215i	0.567898	−	0.983629i	−0.428875	−	0.903364i	$-0.641090\pi$
$727$	15.3122	−	26.5215i	0.567898	−	0.983629i	0.996774	−	0.0802652i	$-0.0255767\pi$
$728$	4.31223	−	4.31223i	0.159822	−	0.159822i
$729$	−26.4296	−	5.52057i	−0.978874	−	0.204466i
$730$	1.78533			0.0660782
$731$	38.4042	+	13.9680i	1.42043	+	0.516626i
$732$	18.2776	+	5.57629i	0.675559	+	0.206106i
$733$	−3.14310	+	1.81467i	−0.116093	+	0.0670262i	−0.556922	−	0.830565i	$-0.688018\pi$
$733$	−3.14310	+	1.81467i	−0.116093	+	0.0670262i	0.440829	+	0.897591i	$0.354684\pi$
$734$	1.17853	+	0.315787i	0.0435005	+	0.0116559i
$735$	−1.39631	+	1.30361i	−0.0515036	+	0.0480844i
$736$	3.76037	+	14.0339i	0.138609	+	0.517296i
$737$	15.9721	+	15.9721i	0.588338	+	0.588338i
$738$	0.434788	+	2.22286i	0.0160048	+	0.0818244i
$739$			0.624118i			0.0229585i	0.999934	+	0.0114793i	$0.00365405\pi$
$739$			0.624118i			0.0229585i	−0.999934	+	0.0114793i	$0.996346\pi$
$740$	−16.0465	−	9.26445i	−0.589881	−	0.340568i
$741$	0.748409	−	1.19927i	0.0274935	−	0.0440563i
$742$	0.278179	−	1.03818i	0.0102123	−	0.0381127i
$743$	−17.5550	−	4.70385i	−0.644031	−	0.172568i	−0.0780023	−	0.996953i	$-0.524854\pi$
$743$	−17.5550	−	4.70385i	−0.644031	−	0.172568i	−0.566029	+	0.824386i	$0.691521\pi$
$744$	2.58901	+	11.1843i	0.0949177	+	0.410035i
$745$	3.63434	+	13.5636i	0.133152	+	0.496930i
$746$		−	4.03822i		−	0.147850i
$747$	−3.27389	+	1.60154i	−0.119785	+	0.0585973i
$748$	−25.3113	−	17.7145i	−0.925472	−	0.647707i
$749$	6.97848	−	12.0871i	0.254988	−	0.441652i
$750$	−2.41210	−	2.58361i	−0.0880773	−	0.0943402i
$751$	35.2431	+	9.44336i	1.28604	+	0.344593i	0.836154	−	0.548494i	$-0.184799\pi$
$751$	35.2431	+	9.44336i	1.28604	+	0.344593i	0.449884	+	0.893087i	$0.351465\pi$
$752$	−19.4164	−	33.6302i	−0.708044	−	1.22637i
$753$	−18.2371	+	9.71057i	−0.664597	+	0.353873i
$754$	0.314381	−	0.0842382i	0.0114491	−	0.00306778i
$755$	−13.0599	−	13.0599i	−0.475297	−	0.475297i
$756$	21.9591	−	17.8462i	0.798643	−	0.649060i
$757$		−	14.8940i		−	0.541330i	−0.962674	−	0.270665i	$-0.912756\pi$
$757$		−	14.8940i		−	0.541330i	0.962674	−	0.270665i	$-0.0872436\pi$
$758$	−0.737859	+	0.197709i	−0.0268002	+	0.00718110i
$759$	−22.7191	−	42.6679i	−0.824650	−	1.54875i
$760$	0.279386	+	0.0748612i	0.0101344	+	0.00271550i
$761$	4.97274	+	8.61303i	0.180262	+	0.312222i	0.941970	−	0.335698i	$-0.108972\pi$
$761$	4.97274	+	8.61303i	0.180262	+	0.312222i	−0.761708	+	0.647920i	$0.775639\pi$
$762$	0.129570	−	3.77392i	0.00469384	−	0.136715i
$763$	32.6673	+	18.8605i	1.18264	+	0.682795i
$764$	−34.9085			−1.26295
$765$	13.6566	−	16.9129i	0.493754	−	0.611487i
$766$	6.43420			0.232477
$767$	14.1435	+	8.16573i	0.510691	+	0.294847i
$768$	20.2621	+	12.6446i	0.731145	+	0.456273i
$769$	−5.91735	−	10.2492i	−0.213385	−	0.369594i	0.739387	−	0.673281i	$-0.235116\pi$
$769$	−5.91735	−	10.2492i	−0.213385	−	0.369594i	−0.952772	+	0.303687i	$0.901782\pi$
$770$	−2.99325	−	0.802039i	−0.107869	−	0.0289035i
$771$	22.5694	−	36.1658i	0.812816	−	1.30248i
$772$	15.3789	−	4.12076i	0.553498	−	0.148309i
$773$			0.787352i			0.0283191i	0.999900	+	0.0141595i	$0.00450727\pi$
$773$			0.787352i			0.0283191i	−0.999900	+	0.0141595i	$0.995493\pi$
$774$	−4.98379	−	0.342622i	−0.179139	−	0.0123153i
$775$	13.4250	+	13.4250i	0.482242	+	0.482242i
$776$	9.20425	−	2.46627i	0.330413	−	0.0885340i
$777$	−0.877660	+	25.5631i	−0.0314859	+	0.917070i
$778$	0.305143	+	0.528523i	0.0109399	+	0.0189485i
$779$	−1.07059	−	0.286864i	−0.0383579	−	0.0102780i
$780$	5.79568	−	18.9967i	0.207519	−	0.680190i
$781$	−4.09889	+	7.09949i	−0.146670	+	0.254040i
$782$	2.91707	−	4.16804i	0.104314	−	0.149049i
$783$	3.00368	−	0.481159i	0.107343	−	0.0171952i
$784$			2.40445i			0.0858731i
$785$	3.78540	+	14.1273i	0.135107	+	0.504225i
$786$	−4.32273	−	1.31882i	−0.154187	−	0.0470406i
$787$	−35.8970	−	9.61857i	−1.27959	−	0.342865i	−0.445893	−	0.895086i	$-0.647114\pi$
$787$	−35.8970	−	9.61857i	−1.27959	−	0.342865i	−0.833698	+	0.552221i	$0.813780\pi$
$788$	−2.80241	+	10.4588i	−0.0998319	+	0.372578i
$789$	46.4677	+	1.59538i	1.65430	+	0.0567971i
$790$	1.84163	+	1.06327i	0.0655224	+	0.0378294i
$791$			21.1716i			0.752775i
$792$	7.19582	+	2.46827i	0.255692	+	0.0877063i
$793$	−13.0924	−	13.0924i	−0.464926	−	0.464926i
$794$	0.173611	+	0.647925i	0.00616123	+	0.0229940i
$795$	−1.59013	−	6.86921i	−0.0563961	−	0.243626i
$796$	9.97488	+	2.67276i	0.353550	+	0.0947335i
$797$	−2.69730	+	1.55729i	−0.0955433	+	0.0551619i	−0.547010	−	0.837126i	$-0.684234\pi$
$797$	−2.69730	+	1.55729i	−0.0955433	+	0.0551619i	0.451467	+	0.892288i	$0.350901\pi$
$798$	−0.0447037	−	0.193116i	−0.00158249	−	0.00683622i
$799$	−14.2837	+	39.2721i	−0.505321	+	1.38935i
$800$	−3.78142			−0.133693
$801$	−10.3913	+	15.4448i	−0.367158	+	0.545715i
$802$	−3.20596	+	3.20596i	−0.113206	+	0.113206i
$803$	−11.4889	+	19.8994i	−0.405436	+	0.702236i
$804$	−0.696550	+	20.2880i	−0.0245654	+	0.715502i
$805$	−9.22591	+	34.4316i	−0.325170	+	1.21355i
$806$	1.42923	−	5.33397i	0.0503426	−	0.187881i
$807$	0.0110267	−	0.0361426i	0.000388158	−	0.00127228i
$808$	−8.54356	−	4.93263i	−0.300561	−	0.173529i
$809$	−3.79597	−	3.79597i	−0.133459	−	0.133459i	0.637221	−	0.770681i	$-0.280084\pi$
$809$	−3.79597	−	3.79597i	−0.133459	−	0.133459i	−0.770681	+	0.637221i	$0.780084\pi$
$810$	−1.03257	+	2.44854i	−0.0362807	+	0.0860331i
$811$	28.6594	−	28.6594i	1.00637	−	1.00637i	0.00638799	−	0.999980i	$-0.497967\pi$
$811$	28.6594	−	28.6594i	1.00637	−	1.00637i	0.999980	−	0.00638799i	$-0.00203338\pi$
$812$	−1.59402	+	2.76092i	−0.0559390	+	0.0968893i
$813$	37.6729	−	20.0594i	1.32124	−	0.703513i
$814$	−2.95648	+	1.70693i	−0.103625	+	0.0598277i
$815$	11.3195	+	19.6059i	0.396505	+	0.686766i
$816$	−3.83015	−	27.0925i	−0.134082	−	0.948428i
$817$	1.22228	−	2.11705i	0.0427621	−	0.0740661i
$818$		−	0.767978i		−	0.0268517i
$819$	−26.9073	+	5.26304i	−0.940217	+	0.183905i
$820$	−15.5721			−0.543800
$821$	1.77853	+	6.63756i	0.0620711	+	0.231652i	0.989992	−	0.141125i	$-0.0450720\pi$
$821$	1.77853	+	6.63756i	0.0620711	+	0.231652i	−0.927921	+	0.372778i	$0.878405\pi$
$822$	−1.34119	+	2.14917i	−0.0467795	+	0.0749608i
$823$	8.31969	−	31.0495i	0.290006	−	1.08232i	−0.655096	−	0.755545i	$-0.727372\pi$
$823$	8.31969	−	31.0495i	0.290006	−	1.08232i	0.945103	−	0.326773i	$-0.105961\pi$
$824$	0.357696	−	0.206516i	0.0124609	−	0.00719433i
$825$	12.2571	−	2.83735i	0.426737	−	0.0987840i
$826$	2.21199	−	0.592701i	0.0769650	−	0.0206227i
$827$	15.6816	+	15.6816i	0.545303	+	0.545303i	0.925079	−	0.379775i	$-0.123999\pi$
$827$	15.6816	+	15.6816i	0.545303	+	0.545303i	−0.379775	+	0.925079i	$0.623999\pi$
$828$	14.0955	−	41.0929i	0.489851	−	1.42808i
$829$	36.6368			1.27245			0.636225	−	0.771504i	$-0.280495\pi$
$829$	36.6368			1.27245			0.636225	+	0.771504i	$0.280495\pi$
$830$	0.0928401	+	0.346484i	0.00322253	+	0.0120266i
$831$	17.8616	+	19.1317i	0.619612	+	0.663671i
$832$	−12.1287	−	21.0074i	−0.420485	−	0.728302i
$833$	1.98175	−	1.66366i	0.0686636	−	0.0576424i
$834$	−0.868966	−	0.265112i	−0.0300898	−	0.00918007i
$835$	35.9135	+	20.7347i	1.24284	+	0.717553i
$836$	−1.30680	+	1.30680i	−0.0451966	+	0.0451966i
$837$	18.4111	−	48.2163i	0.636382	−	1.66660i
$838$	−4.58528	+	4.58528i	−0.158396	+	0.158396i
$839$	4.09339	−	1.09682i	0.141319	−	0.0378664i	−0.187466	−	0.982271i	$-0.560027\pi$
$839$	4.09339	−	1.09682i	0.141319	−	0.0378664i	0.328785	+	0.944405i	$0.393361\pi$
$840$	−2.63654	−	4.95159i	−0.0909692	−	0.170846i
$841$	24.8179	−	14.3286i	0.855791	−	0.494091i
$842$	1.21201	−	0.699753i	0.0417686	−	0.0241151i
$843$	−21.5488	−	0.739838i	−0.742181	−	0.0254814i
$844$	−30.3219	+	8.12473i	−1.04372	+	0.279665i
$845$	2.54740	−	2.54740i	0.0876331	−	0.0876331i
$846$	0.350365	−	5.09643i	0.0120458	−	0.175219i
$847$	6.71989	−	6.71989i	0.230898	−	0.230898i
$848$	−7.68593	−	4.43747i	−0.263936	−	0.152383i
$849$	−3.43773	−	14.8507i	−0.117983	−	0.509674i
$850$	0.851343	+	1.01412i	0.0292008	+	0.0347840i
$851$	19.6349	+	34.0086i	0.673075	+	1.16580i
$852$	−7.17762	+	1.66152i	−0.245901	+	0.0569228i
$853$	−5.33958	−	19.9276i	−0.182824	−	0.682307i	−0.995086	−	0.0990150i	$-0.968431\pi$
$853$	−5.33958	−	19.9276i	−0.182824	−	0.682307i	0.812262	−	0.583292i	$-0.198236\pi$
$854$	−2.59627			−0.0888427
$855$	−0.854270	−	0.980399i	−0.0292154	−	0.0335289i
$856$	2.38451	+	2.38451i	0.0815007	+	0.0815007i
$857$	−5.29995	+	1.42012i	−0.181043	+	0.0485103i	−0.348201	−	0.937420i	$-0.613207\pi$
$857$	−5.29995	+	1.42012i	−0.181043	+	0.0485103i	0.167159	+	0.985930i	$0.446541\pi$
$858$	−2.49721	−	2.67478i	−0.0852534	−	0.0913156i
$859$	−27.1273	+	15.6619i	−0.925571	+	0.534378i	−0.885408	−	0.464815i	$-0.846121\pi$
$859$	−27.1273	+	15.6619i	−0.925571	+	0.534378i	−0.0401626	+	0.999193i	$0.512788\pi$
$860$	8.88919	−	33.1749i	0.303119	−	1.13126i
$861$	10.1031	+	18.9743i	0.344312	+	0.646641i
$862$	0.889624	+	3.32012i	0.0303007	+	0.113084i
$863$	−12.5910			−0.428602			−0.214301	−	0.976768i	$-0.568747\pi$
$863$	−12.5910			−0.428602			−0.214301	+	0.976768i	$0.568747\pi$
$864$	4.19759	+	9.38343i	0.142805	+	0.319231i
$865$			18.0311i			0.613077i
$866$	−2.19581	+	3.80326i	−0.0746167	+	0.129240i
$867$	−19.6796	+	21.9024i	−0.668354	+	0.743844i
$868$	27.0450	+	46.8433i	0.917967	+	1.58996i
$869$	−23.7025	+	13.6846i	−0.804052	+	0.464220i
$870$	0.0102730	−	0.299217i	0.000348289	−	0.0101444i
$871$	9.83459	−	17.0340i	0.333232	−	0.577175i
$872$	−6.44451	+	6.44451i	−0.218239	+	0.218239i
$873$	−40.5225	−	13.8998i	−1.37148	−	0.470438i
$874$	−0.215192	−	0.215192i	−0.00727899	−	0.00727899i
$875$	−29.0516	−	16.7729i	−0.982123	−	0.567029i
$876$	−20.1184	+	4.65715i	−0.679739	+	0.157350i
$877$	−8.72192	+	32.5506i	−0.294518	+	1.09916i	0.647081	+	0.762421i	$0.275989\pi$
$877$	−8.72192	+	32.5506i	−0.294518	+	1.09916i	−0.941599	+	0.336736i	$0.890677\pi$
$878$	0.755511	−	2.81960i	0.0254973	−	0.0951571i
$879$	24.3944	+	15.2234i	0.822802	+	0.513472i
$880$	−12.7940	+	22.1599i	−0.431287	+	0.747010i
$881$	−5.58855	+	5.58855i	−0.188283	+	0.188283i	−0.794954	−	0.606670i	$-0.792505\pi$
$881$	−5.58855	+	5.58855i	−0.188283	+	0.188283i	0.606670	+	0.794954i	$0.292505\pi$
$882$	−0.176567	+	0.262436i	−0.00594534	+	0.00883668i
$883$	48.9810			1.64834			0.824171	−	0.566341i	$-0.191641\pi$
$883$	48.9810			1.64834			0.824171	+	0.566341i	$0.191641\pi$
$884$	−9.19536	+	25.2821i	−0.309273	+	0.850327i
$885$	10.9810	−	10.2520i	0.369124	−	0.344619i
$886$	−0.327170	+	0.188892i	−0.0109915	+	0.00634595i
$887$	29.6728	+	7.95079i	0.996314	+	0.266961i	0.719900	−	0.694077i	$-0.244187\pi$
$887$	29.6728	+	7.95079i	0.996314	+	0.266961i	0.276413	+	0.961039i	$0.410854\pi$
$888$	−5.91106	−	1.80340i	−0.198362	−	0.0605181i
$889$	−9.27568	−	34.6173i	−0.311096	−	1.16103i
$890$	1.29550	+	1.29550i	0.0434252	+	0.0434252i
$891$	−20.6469	−	27.2659i	−0.691696	−	0.913441i
$892$		−	0.170213i		−	0.00569916i
$893$	2.16489	+	1.24990i	0.0724454	+	0.0418264i
$894$	1.09278	+	2.05231i	0.0365480	+	0.0686396i
$895$	−2.70789	+	10.1060i	−0.0905149	+	0.337806i
$896$	−13.8405	−	3.70855i	−0.462378	−	0.123894i
$897$	−30.7682	+	28.7256i	−1.02732	+	0.959119i
$898$	0.393664	+	1.46917i	0.0131367	+	0.0490269i
$899$			5.81488i			0.193937i
$900$	9.38122	+	6.31170i	0.312707	+	0.210390i
$901$	1.66059	+	9.40508i	0.0553223	+	0.313329i
$902$	−1.43454	+	2.48469i	−0.0477648	+	0.0827311i
$903$	−46.1902	+	10.6924i	−1.53712	+	0.355821i
$904$	−4.94106	−	1.32395i	−0.164337	−	0.0440340i
$905$	−2.07192	−	3.58868i	−0.0688731	−	0.119292i
$906$	−2.59446	−	1.61908i	−0.0861952	−	0.0537904i
$907$	−35.3027	+	9.45934i	−1.17221	+	0.314092i	−0.791832	−	0.610739i	$-0.790872\pi$
$907$	−35.3027	+	9.45934i	−1.17221	+	0.314092i	−0.380377	+	0.924832i	$0.624206\pi$
$908$	−38.7408	−	38.7408i	−1.28566	−	1.28566i
$909$	19.4895	+	39.8406i	0.646425	+	1.32143i
$910$			2.69842i			0.0894518i
$911$	−38.4688	+	10.3077i	−1.27453	+	0.341508i	−0.831764	−	0.555130i	$-0.812669\pi$
$911$	−38.4688	+	10.3077i	−1.27453	+	0.341508i	−0.442763	+	0.896638i	$0.646002\pi$
$912$	−1.63582	−	0.0561627i	−0.0541673	−	0.00185973i
$913$	−4.45937	−	1.19488i	−0.147584	−	0.0395449i
$914$	−2.63027	−	4.55575i	−0.0870015	−	0.150691i
$915$	−15.0336	+	8.00485i	−0.496997	+	0.264632i
$916$	−48.1838	−	27.8189i	−1.59204	−	0.919163i
$917$	−42.8929			−1.41645
$918$	1.57146	−	3.23831i	0.0518658	−	0.106880i
$919$	−30.3616			−1.00154			−0.500768	−	0.865581i	$-0.666949\pi$
$919$	−30.3616			−1.00154			−0.500768	+	0.865581i	$0.666949\pi$
$920$	−7.45875	−	4.30631i	−0.245908	−	0.141975i
$921$	26.5060	−	14.1134i	0.873402	−	0.465054i
$922$	−1.79436	−	3.10792i	−0.0590941	−	0.102354i
$923$	6.89526	+	1.84758i	0.226960	+	0.0608138i
$924$	35.8223	+	1.22989i	1.17847	+	0.0404604i
$925$	−9.87240	+	2.64530i	−0.324602	+	0.0869770i
$926$		−	1.34304i		−	0.0441352i
$927$	−1.85253	−	0.127357i	−0.0608452	−	0.00418294i
$928$	−0.818935	−	0.818935i	−0.0268829	−	0.0268829i
$929$	25.8914	−	6.93757i	0.849468	−	0.227614i	0.192279	−	0.981340i	$-0.438412\pi$
$929$	25.8914	−	6.93757i	0.849468	−	0.227614i	0.657189	+	0.753726i	$0.271745\pi$
$930$	−4.30938	−	2.68929i	−0.141310	−	0.0881852i
$931$	−0.0773913	−	0.134046i	−0.00253640	−	0.00439317i
$932$	−50.5101	−	13.5341i	−1.65451	−	0.443326i
$933$	−50.5339	+	11.6979i	−1.65441	+	0.382973i
$934$	1.46620	−	2.53954i	0.0479757	−	0.0830963i
$935$	27.1165	−	4.78778i	0.886805	−	0.156577i
$936$	0.454336	−	6.60878i	0.0148504	−	0.216015i
$937$		−	10.4135i		−	0.340193i	−0.985427	−	0.170097i	$-0.945592\pi$
$937$		−	10.4135i		−	0.340193i	0.985427	−	0.170097i	$-0.0544080\pi$
$938$	−0.713834	−	2.66406i	−0.0233075	−	0.0869848i
$939$	8.45346	−	7.89226i	0.275868	−	0.257554i
$940$	33.9247	+	9.09009i	1.10650	+	0.296486i
$941$	−2.28670	+	8.53408i	−0.0745443	+	0.278203i	−0.993130	−	0.117020i	$-0.962666\pi$
$941$	−2.28670	+	8.53408i	−0.0745443	+	0.278203i	0.918585	+	0.395223i	$0.129333\pi$
$942$	1.13820	+	2.13761i	0.0370845	+	0.0696472i
$943$	28.5815	+	16.5016i	0.930743	+	0.537365i
$944$		−	18.9094i		−	0.615449i
$945$	−2.59208	+	25.0868i	−0.0843203	+	0.816075i
$946$	−4.47452	−	4.47452i	−0.145479	−	0.145479i
$947$	−1.74310	−	6.50534i	−0.0566432	−	0.211395i	0.931804	−	0.362962i	$-0.118235\pi$
$947$	−1.74310	−	6.50534i	−0.0566432	−	0.211395i	−0.988447	+	0.151567i	$0.951568\pi$
$948$	−23.5265	−	7.17766i	−0.764104	−	0.233120i
$949$	19.3270	+	5.17865i	0.627381	+	0.168106i
$950$	0.0685951	−	0.0396034i	0.00222552	−	0.00128490i
$951$	24.8667	−	23.2159i	0.806358	−	0.752826i
$952$	3.21288	+	6.88592i	0.104130	+	0.223174i
$953$	−16.6737			−0.540113			−0.270057	−	0.962844i	$-0.587042\pi$
$953$	−16.6737			−0.540113			−0.270057	+	0.962844i	$0.587042\pi$
$954$	−0.513029	−	1.04874i	−0.0166099	−	0.0339542i
$955$	22.0007	−	22.0007i	0.711926	−	0.711926i
$956$	3.95294	−	6.84669i	0.127847	−	0.221438i
$957$	3.26898	+	2.04002i	0.105671	+	0.0659444i
$958$	−0.567926	+	2.11953i	−0.0183488	+	0.0684788i
$959$	−6.22283	+	23.2239i	−0.200946	+	0.749939i
$960$	−21.7388	+	5.03225i	−0.701618	+	0.162415i
$961$	58.5939	+	33.8292i	1.89013	+	1.09126i
$962$	2.10204	+	2.10204i	0.0677723	+	0.0677723i
$963$	−2.91027	−	14.8788i	−0.0937820	−	0.479461i
$964$	−16.0679	+	16.0679i	−0.517511	+	0.517511i
$965$	−7.09531	+	12.2894i	−0.228406	+	0.395611i
$966$	−0.202528	+	5.89890i	−0.00651622	+	0.189794i
$967$	2.34639	−	1.35469i	0.0754547	−	0.0435638i	−0.461798	−	0.886985i	$-0.652795\pi$
$967$	2.34639	−	1.35469i	0.0754547	−	0.0435638i	0.537253	+	0.843421i	$0.319462\pi$
$968$	1.14807	+	1.98852i	0.0369005	+	0.0639135i
$969$	1.08555	+	1.38710i	0.0348728	+	0.0445601i
$970$	−2.10818	+	3.65147i	−0.0676896	+	0.117242i
$971$		−	50.4743i		−	1.61980i	−0.586569	−	0.809899i	$-0.699522\pi$
$971$		−	50.4743i		−	1.61980i	0.586569	−	0.809899i	$-0.300478\pi$
$972$	5.24855	−	30.2855i	0.168347	−	0.971407i
$973$	−8.62243			−0.276423
$974$	−0.750073	−	2.79931i	−0.0240339	−	0.0896958i
$975$	−5.14898	−	9.67013i	−0.164899	−	0.309692i
$976$	−5.54862	+	20.7077i	−0.177607	+	0.662838i
$977$	47.7424	−	27.5641i	1.52741	−	0.881853i	0.527946	−	0.849278i	$-0.322962\pi$
$977$	47.7424	−	27.5641i	1.52741	−	0.881853i	0.999469	−	0.0325753i	$-0.0103709\pi$
$978$	2.55816	+	2.74007i	0.0818010	+	0.0876177i
$979$	−22.7764	+	6.10293i	−0.727938	+	0.195050i
$980$	−1.53770	−	1.53770i	−0.0491202	−	0.0491202i
$981$	40.2122	−	7.86546i	1.28388	−	0.251125i
$982$	−0.925483			−0.0295334
$983$	−1.68967	−	6.30593i	−0.0538921	−	0.201128i	0.933731	−	0.357977i	$-0.116533\pi$
$983$	−1.68967	−	6.30593i	−0.0538921	−	0.201128i	−0.987623	+	0.156849i	$0.949867\pi$
$984$	−5.06003	+	1.17133i	−0.161308	+	0.0373406i
$985$	−4.82532	−	8.35770i	−0.153748	−	0.266299i
$986$	−0.0352522	+	0.404000i	−0.00112266	+	0.0128660i
$987$	−10.9341	−	47.2342i	−0.348035	−	1.50348i
$988$	1.39369	+	0.804645i	0.0443390	+	0.0255992i
$989$	−51.4707	+	51.4707i	−1.63667	+	1.63667i
$990$	−3.02370	+	1.47915i	−0.0960995	+	0.0470106i
$991$	8.86952	−	8.86952i	0.281750	−	0.281750i	−0.552057	−	0.833807i	$-0.686157\pi$
$991$	8.86952	−	8.86952i	0.281750	−	0.281750i	0.833807	+	0.552057i	$0.186157\pi$
$992$	−18.9802	+	5.08574i	−0.602623	+	0.161472i
$993$	38.3507	+	1.31670i	1.21702	+	0.0417842i
$994$	0.866866	−	0.500486i	0.0274953	−	0.0158744i
$995$	−7.97104	+	4.60208i	−0.252699	+	0.145896i
$996$	−1.95001	−	3.66225i	−0.0617885	−	0.116043i
$997$	−41.1283	+	11.0203i	−1.30255	+	0.349016i	−0.842412	−	0.538833i	$-0.818865\pi$
$997$	−41.1283	+	11.0203i	−1.30255	+	0.349016i	−0.460134	+	0.887850i	$0.652199\pi$
$998$	−3.16918	+	3.16918i	−0.100319	+	0.100319i
$999$	17.5231	+	21.5615i	0.554407	+	0.682176i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	153.2.n.a.106.8	yes	64
3.2	odd	2		459.2.o.a.208.9		64
9.4	even	3	inner	153.2.n.a.4.9	✓	64
9.5	odd	6		459.2.o.a.361.8		64
17.13	even	4	inner	153.2.n.a.115.9	yes	64
51.47	odd	4		459.2.o.a.370.8		64
153.13	even	12	inner	153.2.n.a.13.8	yes	64
153.149	odd	12		459.2.o.a.64.9		64

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
153.2.n.a.4.9	✓	64	9.4	even	3	inner
153.2.n.a.13.8	yes	64	153.13	even	12	inner
153.2.n.a.106.8	yes	64	1.1	even	1	trivial
153.2.n.a.115.9	yes	64	17.13	even	4	inner
459.2.o.a.64.9		64	153.149	odd	12
459.2.o.a.208.9		64	3.2	odd	2
459.2.o.a.361.8		64	9.5	odd	6
459.2.o.a.370.8		64	51.47	odd	4

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:	\( N \)	\(=\)	\( 153 = 3^{2} \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	153.n (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.145499 - 0.0840042i) q^{2} +(-1.52883 + 0.814046i) q^{3} +(-0.985887 - 1.70761i) q^{4} +(1.69754 + 0.454855i) q^{5} +(0.290828 + 0.00998502i) q^{6} +(2.66770 - 0.714807i) q^{7} +0.667291i q^{8} +(1.67466 - 2.48908i) q^{9} +O(q^{10})\)	\(q+(-0.145499 - 0.0840042i) q^{2} +(-1.52883 + 0.814046i) q^{3} +(-0.985887 - 1.70761i) q^{4} +(1.69754 + 0.454855i) q^{5} +(0.290828 + 0.00998502i) q^{6} +(2.66770 - 0.714807i) q^{7} +0.667291i q^{8} +(1.67466 - 2.48908i) q^{9} +(-0.208782 - 0.208782i) q^{10} +(3.67064 - 0.983546i) q^{11} +(2.89733 + 1.80809i) q^{12} +(-1.65455 - 2.86576i) q^{13} +(-0.448195 - 0.120094i) q^{14} +(-2.96553 + 0.686481i) q^{15} +(-1.91572 + 3.31812i) q^{16} +(4.06030 - 0.716900i) q^{17} +(-0.452755 + 0.221482i) q^{18} -0.246643i q^{19} +(-0.896872 - 3.34717i) q^{20} +(-3.49658 + 3.26445i) q^{21} +(-0.616699 - 0.165244i) q^{22} +(-1.90081 + 7.09393i) q^{23} +(-0.543206 - 1.02018i) q^{24} +(-1.65537 - 0.955726i) q^{25} +0.555955i q^{26} +(-0.534045 + 5.16864i) q^{27} +(-3.85066 - 3.85066i) q^{28} +(-0.151520 - 0.565480i) q^{29} +(0.489151 + 0.149235i) q^{30} +(-9.59425 - 2.57077i) q^{31} +(1.71325 - 0.989147i) q^{32} +(-4.81115 + 4.49175i) q^{33} +(-0.650994 - 0.236774i) q^{34} +4.85367 q^{35} +(-5.90139 - 0.405704i) q^{36} +(3.78095 - 3.78095i) q^{37} +(-0.0207190 + 0.0358864i) q^{38} +(4.86238 + 3.03439i) q^{39} +(-0.303521 + 1.13276i) q^{40} +(1.16308 - 4.34066i) q^{41} +(0.782977 - 0.181249i) q^{42} +(8.58346 + 4.95566i) q^{43} +(-5.29835 - 5.29835i) q^{44} +(3.97498 - 3.46360i) q^{45} +(0.872486 - 0.872486i) q^{46} +(-5.06766 + 8.77745i) q^{47} +(0.227709 - 6.63233i) q^{48} +(0.543481 - 0.313779i) q^{49} +(0.160570 + 0.278115i) q^{50} +(-5.62393 + 4.40129i) q^{51} +(-3.26239 + 5.65062i) q^{52} +2.31635i q^{53} +(0.511890 - 0.707172i) q^{54} +6.67845 q^{55} +(0.476984 + 1.78013i) q^{56} +(0.200779 + 0.377075i) q^{57} +(-0.0254566 + 0.0950053i) q^{58} +(-4.27412 + 2.46766i) q^{59} +(4.09592 + 4.38717i) q^{60} +(5.40469 - 1.44818i) q^{61} +(1.18000 + 1.18000i) q^{62} +(2.68827 - 7.83717i) q^{63} +7.33050 q^{64} +(-1.50516 - 5.61733i) q^{65} +(1.07735 - 0.249391i) q^{66} +(2.97199 + 5.14764i) q^{67} +(-5.22718 - 6.22661i) q^{68} +(-2.86876 - 12.3928i) q^{69} +(-0.706206 - 0.407728i) q^{70} +(-1.52540 + 1.52540i) q^{71} +(1.66094 + 1.11748i) q^{72} +(-4.27560 + 4.27560i) q^{73} +(-0.867741 + 0.232510i) q^{74} +(3.30878 + 0.113601i) q^{75} +(-0.421168 + 0.243162i) q^{76} +(9.08912 - 5.24761i) q^{77} +(-0.452573 - 0.849962i) q^{78} +(-6.95678 + 1.86406i) q^{79} +(-4.76128 + 4.76128i) q^{80} +(-3.39104 - 8.33672i) q^{81} +(-0.533860 + 0.533860i) q^{82} +(-1.05211 - 0.607437i) q^{83} +(9.02162 + 2.75240i) q^{84} +(7.21863 + 0.629882i) q^{85} +(-0.832593 - 1.44209i) q^{86} +(0.691975 + 0.741180i) q^{87} +(0.656312 + 2.44939i) q^{88} -6.20503 q^{89} +(-0.869313 + 0.170037i) q^{90} +(-6.46229 - 6.46229i) q^{91} +(13.9876 - 3.74797i) q^{92} +(16.7607 - 3.87988i) q^{93} +(1.47468 - 0.851410i) q^{94} +(0.112187 - 0.418687i) q^{95} +(-1.81407 + 2.90691i) q^{96} +(-3.69595 - 13.7935i) q^{97} -0.105435 q^{98} +(3.69895 - 10.7836i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 64 q - 6 q^{3} + 24 q^{4} - 2 q^{5} - 10 q^{6} - 2 q^{7}+O(q^{10}) \) 64 * q - 6 * q^3 + 24 * q^4 - 2 * q^5 - 10 * q^6 - 2 * q^7	\( 64 q - 6 q^{3} + 24 q^{4} - 2 q^{5} - 10 q^{6} - 2 q^{7} - 16 q^{10} - 24 q^{12} - 4 q^{13} - 16 q^{16} - 8 q^{17} - 8 q^{18} + 18 q^{20} - 16 q^{21} - 4 q^{22} - 8 q^{23} - 2 q^{24} - 10 q^{29} - 36 q^{30} - 2 q^{31} + 12 q^{33} + 20 q^{34} - 128 q^{35} - 8 q^{37} - 24 q^{38} + 34 q^{39} - 20 q^{40} + 32 q^{41} + 20 q^{44} + 20 q^{45} - 40 q^{46} - 64 q^{47} + 62 q^{48} + 48 q^{50} + 40 q^{51} + 36 q^{52} - 46 q^{54} - 16 q^{55} + 12 q^{56} + 72 q^{57} - 10 q^{58} - 2 q^{61} - 28 q^{62} + 64 q^{63} - 8 q^{64} + 8 q^{65} - 4 q^{67} - 60 q^{68} - 24 q^{69} - 84 q^{71} + 72 q^{72} - 44 q^{73} - 14 q^{74} + 46 q^{75} - 56 q^{78} + 10 q^{79} + 204 q^{80} + 44 q^{81} - 52 q^{82} - 60 q^{84} + 22 q^{85} + 32 q^{86} + 16 q^{88} + 128 q^{89} - 66 q^{90} + 44 q^{91} + 136 q^{92} + 4 q^{95} - 2 q^{96} - 44 q^{97} + 208 q^{98} + 6 q^{99}+O(q^{100}) \) 64 * q - 6 * q^3 + 24 * q^4 - 2 * q^5 - 10 * q^6 - 2 * q^7 - 16 * q^10 - 24 * q^12 - 4 * q^13 - 16 * q^16 - 8 * q^17 - 8 * q^18 + 18 * q^20 - 16 * q^21 - 4 * q^22 - 8 * q^23 - 2 * q^24 - 10 * q^29 - 36 * q^30 - 2 * q^31 + 12 * q^33 + 20 * q^34 - 128 * q^35 - 8 * q^37 - 24 * q^38 + 34 * q^39 - 20 * q^40 + 32 * q^41 + 20 * q^44 + 20 * q^45 - 40 * q^46 - 64 * q^47 + 62 * q^48 + 48 * q^50 + 40 * q^51 + 36 * q^52 - 46 * q^54 - 16 * q^55 + 12 * q^56 + 72 * q^57 - 10 * q^58 - 2 * q^61 - 28 * q^62 + 64 * q^63 - 8 * q^64 + 8 * q^65 - 4 * q^67 - 60 * q^68 - 24 * q^69 - 84 * q^71 + 72 * q^72 - 44 * q^73 - 14 * q^74 + 46 * q^75 - 56 * q^78 + 10 * q^79 + 204 * q^80 + 44 * q^81 - 52 * q^82 - 60 * q^84 + 22 * q^85 + 32 * q^86 + 16 * q^88 + 128 * q^89 - 66 * q^90 + 44 * q^91 + 136 * q^92 + 4 * q^95 - 2 * q^96 - 44 * q^97 + 208 * q^98 + 6 * q^99

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