LMFDB - Embedded newform 165.2.p.a.161.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [165,2,Mod(41,165)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(165, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([5, 0, 3]))

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

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

chi := DirichletCharacter("165.41");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 165 = 3 \cdot 5 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	165.p (of order $10$, 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:	$1.31753163335$
Analytic rank:	$0$
Dimension:	$16$
Relative dimension:	$4$ over $\Q(\zeta_{10})$
Coefficient field:	$\mathbb{Q}[x]/(x^{16} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{16} - x^{14} + 15x^{12} - 59x^{10} + 104x^{8} - 59x^{6} + 15x^{4} - x^{2} + 1 $ x^16 - x^14 + 15x^12 - 59x^10 + 104x^8 - 59x^6 + 15*x^4 - x^2 + 1
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 5^{2} $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			161.4
Root			$-1.23158 + 1.69513i$ of defining polynomial
Character	$\chi$	$=$	165.161
Dual form			165.2.p.a.41.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.99274 + 1.44781i) q^{2} +(1.08779 - 1.34786i) q^{3} +(1.25683 + 3.86812i) q^{4} +(-0.587785 - 0.809017i) q^{5} +(4.11912 - 1.11103i) q^{6} +(-4.90846 + 1.59485i) q^{7} +(-1.57346 + 4.84261i) q^{8} +(-0.633446 - 2.93236i) q^{9} +O(q^{10})$	\(q+(1.99274 + 1.44781i) q^{2} +(1.08779 - 1.34786i) q^{3} +(1.25683 + 3.86812i) q^{4} +(-0.587785 - 0.809017i) q^{5} +(4.11912 - 1.11103i) q^{6} +(-4.90846 + 1.59485i) q^{7} +(-1.57346 + 4.84261i) q^{8} +(-0.633446 - 2.93236i) q^{9} -2.46317i q^{10} +(2.74369 - 1.86337i) q^{11} +(6.58084 + 2.51366i) q^{12} +(-0.329779 + 0.453901i) q^{13} +(-12.0903 - 3.92839i) q^{14} +(-1.72982 - 0.0877853i) q^{15} +(-3.56585 + 2.59074i) q^{16} +(0.0267325 - 0.0194223i) q^{17} +(2.98321 - 6.76056i) q^{18} +(-0.705981 - 0.229387i) q^{19} +(2.39063 - 3.29042i) q^{20} +(-3.18971 + 8.35076i) q^{21} +(8.16529 + 0.259132i) q^{22} +2.72674i q^{23} +(4.81557 + 7.38852i) q^{24} +(-0.309017 + 0.951057i) q^{25} +(-1.31433 + 0.427051i) q^{26} +(-4.64146 - 2.33598i) q^{27} +(-12.3382 - 16.9821i) q^{28} +(1.76823 + 5.44205i) q^{29} +(-3.32000 - 2.67940i) q^{30} +(-4.85761 - 3.52926i) q^{31} -0.673078 q^{32} +(0.472986 - 5.72506i) q^{33} +0.0813908 q^{34} +(4.17538 + 3.03359i) q^{35} +(10.5466 - 6.13573i) q^{36} +(1.05302 + 3.24085i) q^{37} +(-1.07473 - 1.47924i) q^{38} +(0.253067 + 0.938242i) q^{39} +(4.84261 - 1.57346i) q^{40} +(0.702822 - 2.16306i) q^{41} +(-18.4466 + 12.0228i) q^{42} +4.71203i q^{43} +(10.6561 + 8.27100i) q^{44} +(-2.00000 + 2.23607i) q^{45} +(-3.94781 + 5.43370i) q^{46} +(5.66685 + 1.84127i) q^{47} +(-0.386925 + 7.62443i) q^{48} +(15.8863 - 11.5420i) q^{49} +(-1.99274 + 1.44781i) q^{50} +(0.00290070 - 0.0571589i) q^{51} +(-2.17022 - 0.705148i) q^{52} +(3.24085 - 4.46064i) q^{53} +(-5.86718 - 11.3750i) q^{54} +(-3.12020 - 1.12443i) q^{55} -26.2792i q^{56} +(-1.07714 + 0.702039i) q^{57} +(-4.35544 + 13.4047i) q^{58} +(3.63010 - 1.17949i) q^{59} +(-1.83453 - 6.80151i) q^{60} +(-2.95574 - 4.06823i) q^{61} +(-4.57026 - 14.0658i) q^{62} +(7.78593 + 13.3831i) q^{63} +(5.79042 + 4.20699i) q^{64} +0.561053 q^{65} +(9.23135 - 10.7238i) q^{66} -9.72674 q^{67} +(0.108726 + 0.0789940i) q^{68} +(3.67526 + 2.96611i) q^{69} +(3.92839 + 12.0903i) q^{70} +(-2.27471 - 3.13087i) q^{71} +(15.1970 + 1.54642i) q^{72} +(4.92345 - 1.59973i) q^{73} +(-2.59375 + 7.98274i) q^{74} +(0.945746 + 1.45106i) q^{75} -3.01912i q^{76} +(-10.4955 + 13.5221i) q^{77} +(-0.854102 + 2.23607i) q^{78} +(-6.03576 + 8.30751i) q^{79} +(4.19190 + 1.36203i) q^{80} +(-8.19749 + 3.71499i) q^{81} +(4.53225 - 3.29288i) q^{82} +(-9.20255 + 6.68605i) q^{83} +(-36.3107 - 1.84270i) q^{84} +(-0.0314259 - 0.0102109i) q^{85} +(-6.82213 + 9.38986i) q^{86} +(9.25857 + 3.53646i) q^{87} +(4.70649 + 16.2186i) q^{88} -11.6694i q^{89} +(-7.22289 + 1.56028i) q^{90} +(0.894797 - 2.75390i) q^{91} +(-10.5474 + 3.42705i) q^{92} +(-10.0410 + 2.70829i) q^{93} +(8.62676 + 11.8737i) q^{94} +(0.229387 + 0.705981i) q^{95} +(-0.732164 + 0.907214i) q^{96} +(0.610876 + 0.443827i) q^{97} +48.3680 q^{98} +(-7.20206 - 6.86515i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 16 q + 8 q^{3} - 12 q^{4} + 10 q^{6} - 10 q^{7} - 20 q^{9}+O(q^{10}) $ 16 * q + 8 * q^3 - 12 * q^4 + 10 * q^6 - 10 * q^7 - 20 * q^9	$ 16 q + 8 q^{3} - 12 q^{4} + 10 q^{6} - 10 q^{7} - 20 q^{9} + 4 q^{12} - 12 q^{15} - 16 q^{16} + 20 q^{18} + 40 q^{19} + 30 q^{22} - 70 q^{24} + 4 q^{25} - 4 q^{27} - 110 q^{28} - 10 q^{30} + 10 q^{31} + 12 q^{33} + 100 q^{34} + 40 q^{36} - 2 q^{37} - 10 q^{39} + 50 q^{40} - 10 q^{42} - 32 q^{45} - 40 q^{46} + 22 q^{48} + 42 q^{49} - 40 q^{52} + 6 q^{55} + 40 q^{57} - 20 q^{58} + 14 q^{60} - 50 q^{61} + 70 q^{63} + 42 q^{64} + 30 q^{66} - 108 q^{67} - 12 q^{69} + 40 q^{70} - 40 q^{72} - 50 q^{73} + 12 q^{75} + 40 q^{78} - 40 q^{79} - 4 q^{81} + 50 q^{82} - 150 q^{84} - 20 q^{85} + 70 q^{88} - 20 q^{90} + 10 q^{91} - 50 q^{94} + 40 q^{96} - 58 q^{97} + 12 q^{99}+O(q^{100}) $ 16 * q + 8 * q^3 - 12 * q^4 + 10 * q^6 - 10 * q^7 - 20 * q^9 + 4 * q^12 - 12 * q^15 - 16 * q^16 + 20 * q^18 + 40 * q^19 + 30 * q^22 - 70 * q^24 + 4 * q^25 - 4 * q^27 - 110 * q^28 - 10 * q^30 + 10 * q^31 + 12 * q^33 + 100 * q^34 + 40 * q^36 - 2 * q^37 - 10 * q^39 + 50 * q^40 - 10 * q^42 - 32 * q^45 - 40 * q^46 + 22 * q^48 + 42 * q^49 - 40 * q^52 + 6 * q^55 + 40 * q^57 - 20 * q^58 + 14 * q^60 - 50 * q^61 + 70 * q^63 + 42 * q^64 + 30 * q^66 - 108 * q^67 - 12 * q^69 + 40 * q^70 - 40 * q^72 - 50 * q^73 + 12 * q^75 + 40 * q^78 - 40 * q^79 - 4 * q^81 + 50 * q^82 - 150 * q^84 - 20 * q^85 + 70 * q^88 - 20 * q^90 + 10 * q^91 - 50 * q^94 + 40 * q^96 - 58 * q^97 + 12 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/165\mathbb{Z}\right)^\times$.

$n$	$46$	$56$	$67$
$\chi(n)$	$e\left(\frac{7}{10}\right)$	$-1$	$1$

Coefficient data

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

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

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

$2$	1.99274	+	1.44781i	1.40908	+	1.02376i	0.993455	+	0.114223i	$0.0364378\pi$
$2$	1.99274	+	1.44781i	1.40908	+	1.02376i	0.415627	+	0.909535i	$0.363562\pi$
$3$	1.08779	−	1.34786i	0.628033	−	0.778187i
$3$	1.08779	−	1.34786i	0.628033	−	0.778187i
$4$	1.25683	+	3.86812i	0.628415	+	1.93406i
$5$	−0.587785	−	0.809017i	−0.262866	−	0.361803i
$5$	−0.587785	−	0.809017i	−0.262866	−	0.361803i
$6$	4.11912	−	1.11103i	1.68163	−	0.453575i
$7$	−4.90846	+	1.59485i	−1.85522	+	0.602798i	−0.859420	+	0.511271i	$0.829175\pi$
$7$	−4.90846	+	1.59485i	−1.85522	+	0.602798i	−0.995803	+	0.0915272i	$0.970825\pi$
$8$	−1.57346	+	4.84261i	−0.556302	+	1.71212i
$9$	−0.633446	−	2.93236i	−0.211149	−	0.977454i
$10$		−	2.46317i		−	0.778921i
$11$	2.74369	−	1.86337i	0.827254	−	0.561828i
$11$	2.74369	−	1.86337i	0.827254	−	0.561828i
$12$	6.58084	+	2.51366i	1.89973	+	0.725631i
$13$	−0.329779	+	0.453901i	−0.0914641	+	0.125890i	−0.852297	−	0.523059i	$-0.824791\pi$
$13$	−0.329779	+	0.453901i	−0.0914641	+	0.125890i	0.760833	+	0.648948i	$0.224791\pi$
$14$	−12.0903	−	3.92839i	−3.23128	−	1.04991i
$15$	−1.72982	−	0.0877853i	−0.446639	−	0.0226661i
$16$	−3.56585	+	2.59074i	−0.891462	+	0.647685i
$17$	0.0267325	−	0.0194223i	0.00648358	−	0.00471060i	−0.584539	−	0.811366i	$-0.698725\pi$
$17$	0.0267325	−	0.0194223i	0.00648358	−	0.00471060i	0.591022	+	0.806655i	$0.298725\pi$
$18$	2.98321	−	6.76056i	0.703150	−	1.59348i
$19$	−0.705981	−	0.229387i	−0.161963	−	0.0526250i	0.226913	−	0.973915i	$-0.427137\pi$
$19$	−0.705981	−	0.229387i	−0.161963	−	0.0526250i	−0.388876	+	0.921290i	$0.627137\pi$
$20$	2.39063	−	3.29042i	0.534562	−	0.735761i
$21$	−3.18971	+	8.35076i	−0.696051	+	1.82229i
$22$	8.16529	+	0.259132i	1.74084	+	0.0552470i
$23$			2.72674i			0.568565i	0.958741	+	0.284283i	$0.0917554\pi$
$23$			2.72674i			0.568565i	−0.958741	+	0.284283i	$0.908245\pi$
$24$	4.81557	+	7.38852i	0.982974	+	1.50818i
$25$	−0.309017	+	0.951057i	−0.0618034	+	0.190211i
$26$	−1.31433	+	0.427051i	−0.257761	+	0.0837516i
$27$	−4.64146	−	2.33598i	−0.893250	−	0.449560i
$28$	−12.3382	−	16.9821i	−2.33170	−	3.20931i
$29$	1.76823	+	5.44205i	0.328352	+	1.01056i	0.969905	+	0.243484i	$0.0782905\pi$
$29$	1.76823	+	5.44205i	0.328352	+	1.01056i	−0.641553	+	0.767079i	$0.721710\pi$
$30$	−3.32000	−	2.67940i	−0.606146	−	0.489188i
$31$	−4.85761	−	3.52926i	−0.872452	−	0.633874i	0.0587916	−	0.998270i	$-0.481275\pi$
$31$	−4.85761	−	3.52926i	−0.872452	−	0.633874i	−0.931244	+	0.364397i	$0.881275\pi$
$32$	−0.673078			−0.118984
$33$	0.472986	−	5.72506i	0.0823364	−	0.996605i
$34$	0.0813908			0.0139584
$35$	4.17538	+	3.03359i	0.705768	+	0.512771i
$36$	10.5466	−	6.13573i	1.75777	−	1.02262i
$37$	1.05302	+	3.24085i	0.173115	+	0.532792i	0.999542	−	0.0302508i	$-0.00963060\pi$
$37$	1.05302	+	3.24085i	0.173115	+	0.532792i	−0.826428	+	0.563043i	$0.809631\pi$
$38$	−1.07473	−	1.47924i	−0.174344	−	0.239964i
$39$	0.253067	+	0.938242i	0.0405231	+	0.150239i
$40$	4.84261	−	1.57346i	0.765684	−	0.248786i
$41$	0.702822	−	2.16306i	0.109762	−	0.337814i	−0.881056	−	0.473011i	$-0.843167\pi$
$41$	0.702822	−	2.16306i	0.109762	−	0.337814i	0.990819	+	0.135198i	$0.0431669\pi$
$42$	−18.4466	+	12.0228i	−2.84637	+	1.85516i
$43$			4.71203i			0.718578i	0.933226	+	0.359289i	$0.116981\pi$
$43$			4.71203i			0.718578i	−0.933226	+	0.359289i	$0.883019\pi$
$44$	10.6561	+	8.27100i	1.60647	+	1.24690i
$45$	−2.00000	+	2.23607i	−0.298142	+	0.333333i
$46$	−3.94781	+	5.43370i	−0.582073	+	0.801155i
$47$	5.66685	+	1.84127i	0.826595	+	0.268577i	0.691610	−	0.722271i	$-0.256902\pi$
$47$	5.66685	+	1.84127i	0.826595	+	0.268577i	0.134984	+	0.990848i	$0.456902\pi$
$48$	−0.386925	+	7.62443i	−0.0558478	+	1.10049i
$49$	15.8863	−	11.5420i	2.26947	−	1.64886i
$50$	−1.99274	+	1.44781i	−0.281816	+	0.204752i
$51$	0.00290070	−	0.0571589i	0.000406180	−	0.00800384i
$52$	−2.17022	−	0.705148i	−0.300956	−	0.0977864i
$53$	3.24085	−	4.46064i	0.445165	−	0.612717i	−0.526185	−	0.850370i	$-0.676378\pi$
$53$	3.24085	−	4.46064i	0.445165	−	0.612717i	0.971350	+	0.237653i	$0.0763782\pi$
$54$	−5.86718	−	11.3750i	−0.798422	−	1.54794i
$55$	−3.12020	−	1.12443i	−0.420728	−	0.151618i
$56$		−	26.2792i		−	3.51170i
$57$	−1.07714	+	0.702039i	−0.142670	+	0.0929873i
$58$	−4.35544	+	13.4047i	−0.571897	+	1.76012i
$59$	3.63010	−	1.17949i	0.472599	−	0.153557i	−0.0630275	−	0.998012i	$-0.520076\pi$
$59$	3.63010	−	1.17949i	0.472599	−	0.153557i	0.535626	+	0.844455i	$0.320076\pi$
$60$	−1.83453	−	6.80151i	−0.236837	−	0.878071i
$61$	−2.95574	−	4.06823i	−0.378444	−	0.520884i	0.576727	−	0.816937i	$-0.304329\pi$
$61$	−2.95574	−	4.06823i	−0.378444	−	0.520884i	−0.955171	+	0.296053i	$0.904329\pi$
$62$	−4.57026	−	14.0658i	−0.580424	−	1.78636i
$63$	7.78593	+	13.3831i	0.980935	+	1.68611i
$64$	5.79042	+	4.20699i	0.723803	+	0.525874i
$65$	0.561053			0.0695900
$66$	9.23135	−	10.7238i	1.13630	−	1.32001i
$67$	−9.72674			−1.18831			−0.594155	−	0.804350i	$-0.702514\pi$
$67$	−9.72674			−1.18831			−0.594155	+	0.804350i	$0.702514\pi$
$68$	0.108726	+	0.0789940i	0.0131850	+	0.00957943i
$69$	3.67526	+	2.96611i	0.442450	+	0.357078i
$70$	3.92839	+	12.0903i	0.469532	+	1.44507i
$71$	−2.27471	−	3.13087i	−0.269958	−	0.371565i	0.652418	−	0.757860i	$-0.273755\pi$
$71$	−2.27471	−	3.13087i	−0.269958	−	0.371565i	−0.922376	+	0.386294i	$0.873755\pi$
$72$	15.1970	+	1.54642i	1.79098	+	0.182247i
$73$	4.92345	−	1.59973i	0.576247	−	0.187234i	−0.00637171	−	0.999980i	$-0.502028\pi$
$73$	4.92345	−	1.59973i	0.576247	−	0.187234i	0.582619	+	0.812746i	$0.302028\pi$
$74$	−2.59375	+	7.98274i	−0.301517	+	0.927975i
$75$	0.945746	+	1.45106i	0.109205	+	0.167554i
$76$		−	3.01912i		−	0.346317i
$77$	−10.4955	+	13.5221i	−1.19607	+	1.54098i
$78$	−0.854102	+	2.23607i	−0.0967080	+	0.253185i
$79$	−6.03576	+	8.30751i	−0.679076	+	0.934668i	−0.999922	−	0.0124633i	$-0.996033\pi$
$79$	−6.03576	+	8.30751i	−0.679076	+	0.934668i	0.320846	+	0.947131i	$0.396033\pi$
$80$	4.19190	+	1.36203i	0.468669	+	0.152280i
$81$	−8.19749	+	3.71499i	−0.910832	+	0.412777i
$82$	4.53225	−	3.29288i	0.500504	−	0.363637i
$83$	−9.20255	+	6.68605i	−1.01011	+	0.733889i	−0.964232	−	0.265058i	$-0.914609\pi$
$83$	−9.20255	+	6.68605i	−1.01011	+	0.733889i	−0.0458791	+	0.998947i	$0.514609\pi$
$84$	−36.3107	−	1.84270i	−3.96182	−	0.201055i
$85$	−0.0314259	−	0.0102109i	−0.00340862	−	0.00110753i
$86$	−6.82213	+	9.38986i	−0.735650	+	1.01253i
$87$	9.25857	+	3.53646i	0.992623	+	0.379148i
$88$	4.70649	+	16.2186i	0.501714	+	1.72891i
$89$		−	11.6694i		−	1.23695i	−0.785805	−	0.618475i	$-0.787751\pi$
$89$		−	11.6694i		−	1.23695i	0.785805	−	0.618475i	$-0.212249\pi$
$90$	−7.22289	+	1.56028i	−0.761360	+	0.164468i
$91$	0.894797	−	2.75390i	0.0938003	−	0.288687i
$92$	−10.5474	+	3.42705i	−1.09964	+	0.357295i
$93$	−10.0410	+	2.70829i	−1.04120	+	0.280837i
$94$	8.62676	+	11.8737i	0.889782	+	1.22468i
$95$	0.229387	+	0.705981i	0.0235346	+	0.0724322i
$96$	−0.732164	+	0.907214i	−0.0747262	+	0.0925921i
$97$	0.610876	+	0.443827i	0.0620250	+	0.0450638i	0.618366	−	0.785890i	$-0.287795\pi$
$97$	0.610876	+	0.443827i	0.0620250	+	0.0450638i	−0.556341	+	0.830954i	$0.687795\pi$
$98$	48.3680			4.88590
$99$	−7.20206	−	6.86515i	−0.723834	−	0.689974i
$100$	−4.06719			−0.406719
$101$	9.11569	+	6.62294i	0.907045	+	0.659007i	0.940266	−	0.340441i	$-0.110576\pi$
$101$	9.11569	+	6.62294i	0.907045	+	0.659007i	−0.0332209	+	0.999448i	$0.510576\pi$
$102$	0.0885357	−	0.109703i	0.00876634	−	0.0108622i
$103$	−2.50876	−	7.72116i	−0.247195	−	0.760789i	−0.995268	−	0.0971716i	$-0.969020\pi$
$103$	−2.50876	−	7.72116i	−0.247195	−	0.760789i	0.748072	−	0.663617i	$-0.230980\pi$
$104$	−1.67917	−	2.31118i	−0.164657	−	0.226630i
$105$	8.63077	−	2.32793i	0.842277	−	0.227183i
$106$	12.9164	−	4.19678i	1.25455	−	0.407627i
$107$	0.127109	−	0.391201i	0.0122881	−	0.0378188i	−0.944724	−	0.327865i	$-0.893671\pi$
$107$	0.127109	−	0.391201i	0.0122881	−	0.0378188i	0.957013	+	0.290046i	$0.0936708\pi$
$108$	3.20234	−	20.8897i	0.308146	−	2.01011i
$109$		−	0.874759i		−	0.0837867i	−0.999122	−	0.0418934i	$-0.986661\pi$
$109$		−	0.874759i		−	0.0837867i	0.999122	−	0.0418934i	$-0.0133390\pi$
$110$	−4.58979	−	6.75817i	−0.437620	−	0.644366i
$111$	5.51366	+	2.10603i	0.523333	+	0.199896i
$112$	13.3710	−	18.4035i	1.26344	−	1.73897i
$113$	−8.26013	−	2.68388i	−0.777048	−	0.252478i	−0.106469	−	0.994316i	$-0.533954\pi$
$113$	−8.26013	−	2.68388i	−0.777048	−	0.252478i	−0.670579	+	0.741838i	$0.733954\pi$
$114$	−3.16288	−	0.160510i	−0.296231	−	0.0150331i
$115$	2.20598	−	1.60274i	0.205709	−	0.149456i
$116$	−18.8282	+	13.6795i	−1.74815	+	1.27011i
$117$	1.53990	+	0.679508i	0.142364	+	0.0628205i
$118$	8.94154	+	2.90528i	0.823135	+	0.267453i
$119$	−0.100239	+	0.137968i	−0.00918894	+	0.0126475i
$120$	3.14692	−	8.23874i	0.287273	−	0.752091i
$121$	4.05569	−	10.2250i	0.368699	−	0.929549i
$122$		−	12.3863i		−	1.12140i
$123$	−2.15098	−	3.30025i	−0.193948	−	0.297574i
$124$	7.54642	−	23.2255i	0.677689	−	2.08571i
$125$	0.951057	−	0.309017i	0.0850651	−	0.0276393i
$126$	−3.86088	+	37.9417i	−0.343954	+	3.38011i
$127$	−1.55735	−	2.14351i	−0.138192	−	0.190206i	0.734312	−	0.678813i	$-0.237505\pi$
$127$	−1.55735	−	2.14351i	−0.138192	−	0.190206i	−0.872504	+	0.488607i	$0.837505\pi$
$128$	5.86388	+	18.0472i	0.518299	+	1.59516i
$129$	6.35115	+	5.12568i	0.559187	+	0.451291i
$130$	1.11803	+	0.812299i	0.0980581	+	0.0712434i
$131$	−16.6512			−1.45482			−0.727412	−	0.686201i	$-0.759277\pi$
$131$	−16.6512			−1.45482			−0.727412	+	0.686201i	$0.759277\pi$
$132$	22.7397	−	5.36585i	1.97924	−	0.467037i
$133$	3.83112			0.332200
$134$	−19.3829	−	14.0825i	−1.67443	−	1.21654i
$135$	0.838333	+	5.12808i	0.0721522	+	0.441355i
$136$	0.0519921	+	0.160015i	0.00445828	+	0.0137212i
$137$	7.49665	+	10.3183i	0.640482	+	0.881548i	0.998641	−	0.0521127i	$-0.0165955\pi$
$137$	7.49665	+	10.3183i	0.640482	+	0.881548i	−0.358159	+	0.933661i	$0.616596\pi$
$138$	3.02948	+	11.2318i	0.257887	+	0.956113i
$139$	11.3010	−	3.67192i	0.958538	−	0.311448i	0.212358	−	0.977192i	$-0.431886\pi$
$139$	11.3010	−	3.67192i	0.958538	−	0.311448i	0.746180	+	0.665744i	$0.231886\pi$
$140$	−6.48657	+	19.9636i	−0.548215	+	1.68723i
$141$	8.64609	−	5.63520i	0.728132	−	0.474570i
$142$		−	9.53236i		−	0.799938i
$143$	−0.0590242	+	1.85987i	−0.00493585	+	0.155530i
$144$	9.85576	+	8.81526i	0.821313	+	0.734605i
$145$	3.36337	−	4.62928i	0.279313	−	0.384441i
$146$	12.1273	+	3.94039i	1.00366	+	0.326109i
$147$	1.72380	−	33.9677i	0.142176	−	2.80161i
$148$	−11.2125	+	8.14639i	−0.921665	+	0.669629i
$149$	13.8957	−	10.0958i	1.13838	−	0.827084i	0.151490	−	0.988459i	$-0.451593\pi$
$149$	13.8957	−	10.0958i	1.13838	−	0.827084i	0.986893	+	0.161375i	$0.0515929\pi$
$150$	−0.216230	+	4.26085i	−0.0176551	+	0.347897i
$151$	−2.45004	−	0.796065i	−0.199381	−	0.0647828i	0.207624	−	0.978209i	$-0.433427\pi$
$151$	−2.45004	−	0.796065i	−0.199381	−	0.0647828i	−0.407005	+	0.913426i	$0.633427\pi$
$152$	2.22167	−	3.05786i	0.180201	−	0.248025i
$153$	−0.0738868	−	0.0660863i	−0.00597339	−	0.00534276i
$154$	−40.4922	+	11.7505i	−3.26296	+	0.946883i
$155$			6.00433i			0.482280i
$156$	−3.31117	+	2.15810i	−0.265106	+	0.172787i
$157$	−5.92839	+	18.2457i	−0.473137	+	1.45617i	0.375317	+	0.926897i	$0.377534\pi$
$157$	−5.92839	+	18.2457i	−0.473137	+	1.45617i	−0.848454	+	0.529269i	$0.822466\pi$
$158$	−24.0554	+	7.81609i	−1.91375	+	0.621814i
$159$	−2.48697	−	9.22043i	−0.197230	−	0.731227i
$160$	0.395625	+	0.544531i	0.0312769	+	0.0430490i
$161$	−4.34876	−	13.3841i	−0.342730	−	1.05481i
$162$	−21.7141	−	4.46541i	−1.70602	−	0.350836i
$163$	−11.8527	−	8.61147i	−0.928373	−	0.674502i	0.0172209	−	0.999852i	$-0.494518\pi$
$163$	−11.8527	−	8.61147i	−0.928373	−	0.674502i	−0.945594	+	0.325349i	$0.894518\pi$
$164$	9.25032			0.722329
$165$	−4.90968	+	2.98245i	−0.382218	+	0.232183i
$166$	−28.0185			−2.17466
$167$	−16.8415	−	12.2361i	−1.30323	−	0.946855i	−0.303253	−	0.952910i	$-0.598073\pi$
$167$	−16.8415	−	12.2361i	−1.30323	−	0.946855i	−0.999982	+	0.00605473i	$0.998073\pi$
$168$	−35.4206	−	28.5861i	−2.73276	−	2.20547i
$169$	3.91995	+	12.0644i	0.301534	+	0.928028i
$170$	−0.0478403	−	0.0658465i	−0.00366918	−	0.00505020i
$171$	−0.225445	+	2.21550i	−0.0172402	+	0.169423i
$172$	−18.2267	+	5.92222i	−1.38977	+	0.451565i
$173$	4.76707	−	14.6715i	0.362433	−	1.11546i	−0.589139	−	0.808032i	$-0.700533\pi$
$173$	4.76707	−	14.6715i	0.362433	−	1.11546i	0.951573	−	0.307424i	$-0.0994670\pi$
$174$	13.3298	+	20.4519i	1.01053	+	1.55046i
$175$		−	5.16106i		−	0.390139i
$176$	−4.95608	+	13.7527i	−0.373578	+	1.03665i
$177$	2.35898	−	6.17589i	0.177312	−	0.464209i
$178$	16.8950	−	23.2540i	1.26634	−	1.74296i
$179$	13.9067	+	4.51856i	1.03944	+	0.337733i	0.778514	−	0.627627i	$-0.215974\pi$
$179$	13.9067	+	4.51856i	1.03944	+	0.337733i	0.260921	+	0.965360i	$0.415974\pi$
$180$	−11.1630	−	4.92589i	−0.832044	−	0.367154i
$181$	5.14096	−	3.73513i	0.382125	−	0.277630i	−0.380096	−	0.924947i	$-0.624109\pi$
$181$	5.14096	−	3.73513i	0.382125	−	0.277630i	0.762221	+	0.647317i	$0.224109\pi$
$182$	5.77024	−	4.19232i	0.427718	−	0.310756i
$183$	−8.69861	−	0.441438i	−0.643020	−	0.0326320i
$184$	−13.2046	−	4.29042i	−0.973452	−	0.316294i
$185$	2.00295	−	2.75683i	0.147260	−	0.202686i
$186$	−23.9302	−	9.14052i	−1.75465	−	0.670215i
$187$	0.0371548	−	0.103101i	0.00271703	−	0.00753951i
$188$			24.2342i			1.76746i
$189$	26.5080	+	4.06362i	1.92817	+	0.295585i
$190$	−0.565019	+	1.73895i	−0.0409908	+	0.126157i
$191$	3.49976	−	1.13714i	0.253234	−	0.0822806i	−0.179649	−	0.983731i	$-0.557496\pi$
$191$	3.49976	−	1.13714i	0.253234	−	0.0822806i	0.432883	+	0.901450i	$0.357496\pi$
$192$	11.9692	−	3.22837i	0.863800	−	0.232988i
$193$	0.484435	+	0.666767i	0.0348704	+	0.0479949i	0.826096	−	0.563529i	$-0.190557\pi$
$193$	0.484435	+	0.666767i	0.0348704	+	0.0479949i	−0.791226	+	0.611524i	$0.790557\pi$
$194$	0.574740	+	1.76887i	0.0412639	+	0.126997i
$195$	0.610305	−	0.756220i	0.0437048	−	0.0541540i
$196$	64.6124	+	46.9437i	4.61517	+	3.35312i
$197$	−13.2380			−0.943171			−0.471585	−	0.881820i	$-0.656318\pi$
$197$	−13.2380			−0.943171			−0.471585	+	0.881820i	$0.656318\pi$
$198$	−4.41240	−	24.1077i	−0.313576	−	1.71326i
$199$	−9.62237			−0.682112			−0.341056	−	0.940043i	$-0.610785\pi$
$199$	−9.62237			−0.682112			−0.341056	+	0.940043i	$0.610785\pi$
$200$	−4.11937	−	2.99290i	−0.291283	−	0.211630i
$201$	−10.5806	+	13.1103i	−0.746299	+	0.924728i
$202$	8.57646	+	26.3956i	0.603437	+	1.85719i
$203$	−17.3586	−	23.8920i	−1.21833	−	1.67689i
$204$	0.224743	−	0.0606187i	0.0157352	−	0.00424416i
$205$	−2.16306	+	0.702822i	−0.151075	+	0.0490872i
$206$	6.17949	−	19.0185i	0.430545	−	1.32508i
$207$	7.99580	−	1.72725i	0.555746	−	0.120052i
$208$		−	2.47291i		−	0.171466i
$209$	−2.36443	+	0.686137i	−0.163551	+	0.0474611i
$210$	20.5693	+	7.85678i	1.41942	+	0.542169i
$211$	−1.22546	+	1.68670i	−0.0843641	+	0.116117i	−0.849113	−	0.528211i	$-0.822863\pi$
$211$	−1.22546	+	1.68670i	−0.0843641	+	0.116117i	0.764749	+	0.644328i	$0.222863\pi$
$212$	21.3275	+	6.92973i	1.46478	+	0.475936i
$213$	−6.69436	−	0.339726i	−0.458690	−	0.0232776i
$214$	0.819681	−	0.595533i	0.0560323	−	0.0407098i
$215$	3.81211	−	2.76966i	0.259984	−	0.188889i
$216$	18.6154	−	18.8012i	1.26662	−	1.27926i
$217$	29.4720	+	9.57604i	2.00069	+	0.650064i
$218$	1.26649	−	1.74317i	0.0857774	−	0.118062i
$219$	3.19945	−	8.37628i	0.216199	−	0.566017i
$220$	0.427879	−	13.4825i	0.0288476	−	0.908993i
$221$			0.0185390i			0.00124707i
$222$	7.93817	+	12.1795i	0.532775	+	0.817436i
$223$	0.440233	−	1.35490i	0.0294802	−	0.0907306i	−0.935234	−	0.354031i	$-0.884811\pi$
$223$	0.440233	−	1.35490i	0.0294802	−	0.0907306i	0.964714	+	0.263300i	$0.0848109\pi$
$224$	3.30377	−	1.07346i	0.220743	−	0.0717236i
$225$	2.98459	+	0.303706i	0.198972	+	0.0202471i
$226$	−12.5746	−	17.3074i	−0.836448	−	1.15127i
$227$	−3.35631	−	10.3297i	−0.222766	−	0.685603i	−0.998511	−	0.0545564i	$-0.982626\pi$
$227$	−3.35631	−	10.3297i	−0.222766	−	0.685603i	0.775745	−	0.631047i	$-0.217374\pi$
$228$	−4.06935	−	3.28416i	−0.269499	−	0.217499i
$229$	−16.2869	−	11.8331i	−1.07627	−	0.781954i	−0.0992391	−	0.995064i	$-0.531641\pi$
$229$	−16.2869	−	11.8331i	−1.07627	−	0.781954i	−0.977028	+	0.213110i	$0.931641\pi$
$230$	6.71642			0.442868
$231$	6.80900	+	28.8555i	0.447999	+	1.89856i
$232$	−29.1360			−1.91287
$233$	11.4066	+	8.28737i	0.747271	+	0.542924i	0.894980	−	0.446107i	$-0.147190\pi$
$233$	11.4066	+	8.28737i	0.747271	+	0.542924i	−0.147709	+	0.989031i	$0.547190\pi$
$234$	2.08482	+	3.58357i	0.136289	+	0.234265i
$235$	−1.84127	−	5.66685i	−0.120111	−	0.369664i
$236$	9.12483	+	12.5593i	0.593976	+	0.817538i
$237$	4.63174	+	17.1721i	0.300864	+	1.11545i
$238$	−0.399503	+	0.129806i	−0.0258959	+	0.00841410i
$239$	0.717220	−	2.20738i	0.0463931	−	0.142783i	−0.925177	−	0.379537i	$-0.876083\pi$
$239$	0.717220	−	2.20738i	0.0463931	−	0.142783i	0.971570	+	0.236753i	$0.0760834\pi$
$240$	6.39572	−	4.16850i	0.412842	−	0.269075i
$241$			16.9902i			1.09443i	0.836991	+	0.547216i	$0.184312\pi$
$241$			16.9902i			1.09443i	−0.836991	+	0.547216i	$0.815688\pi$
$242$	22.8859	−	14.5040i	1.47116	−	0.932351i
$243$	−3.90983	+	15.0902i	−0.250816	+	0.968035i
$244$	12.0216	−	16.5463i	0.769601	−	1.05927i
$245$	−18.6754	−	6.06801i	−1.19313	−	0.387671i
$246$	0.491788	−	9.69078i	0.0313553	−	0.617861i
$247$	0.336937	−	0.244799i	0.0214388	−	0.0155762i
$248$	24.7341	−	17.9704i	1.57062	−	1.14112i
$249$	−0.998556	+	19.6767i	−0.0632809	+	1.24696i
$250$	2.34261	+	0.761160i	0.148160	+	0.0481400i
$251$	−15.3639	+	21.1466i	−0.969761	+	1.33476i	−0.0275936	+	0.999619i	$0.508784\pi$
$251$	−15.3639	+	21.1466i	−0.969761	+	1.33476i	−0.942167	+	0.335142i	$0.891216\pi$
$252$	−41.9820	+	46.9372i	−2.64461	+	2.95677i
$253$	5.08093	+	7.48134i	0.319436	+	0.470348i
$254$		−	6.52621i		−	0.409491i
$255$	−0.0479475	+	0.0312504i	−0.00300259	+	0.00195698i
$256$	−10.0202	+	30.8391i	−0.626263	+	1.92744i
$257$	20.6306	−	6.70330i	1.28690	−	0.418141i	0.415897	−	0.909412i	$-0.363468\pi$
$257$	20.6306	−	6.70330i	1.28690	−	0.418141i	0.871007	+	0.491271i	$0.163468\pi$
$258$	5.23519	+	19.4094i	0.325929	+	1.20838i
$259$	−10.3374	−	14.2282i	−0.642332	−	0.884094i
$260$	0.705148	+	2.17022i	0.0437314	+	0.134591i
$261$	14.8380	−	8.63233i	0.918448	−	0.534328i
$262$	−33.1816	−	24.1078i	−2.04997	−	1.48939i
$263$	−3.29349			−0.203085			−0.101543	−	0.994831i	$-0.532378\pi$
$263$	−3.29349			−0.203085			−0.101543	+	0.994831i	$0.532378\pi$
$264$	26.9800	+	11.2986i	1.66050	+	0.695383i
$265$	−5.51366			−0.338701
$266$	7.63443	+	5.54674i	0.468097	+	0.340092i
$267$	−15.7286	−	12.6938i	−0.962578	−	0.776845i
$268$	−12.2249	−	37.6242i	−0.746752	−	2.29827i
$269$	5.26398	+	7.24525i	0.320951	+	0.441751i	0.938757	−	0.344580i	$-0.111979\pi$
$269$	5.26398	+	7.24525i	0.320951	+	0.441751i	−0.617807	+	0.786330i	$0.711979\pi$
$270$	−5.75391	+	11.4327i	−0.350172	+	0.695772i
$271$	−5.19796	+	1.68892i	−0.315754	+	0.102595i	−0.462606	−	0.886564i	$-0.653086\pi$
$271$	−5.19796	+	1.68892i	−0.315754	+	0.102595i	0.146853	+	0.989158i	$0.453086\pi$
$272$	−0.0450058	+	0.138514i	−0.00272888	+	0.00839863i
$273$	−2.73853	−	4.20172i	−0.165743	−	0.254299i
$274$			31.4154i			1.89787i
$275$	0.924324	+	3.18522i	0.0557388	+	0.192076i
$276$	−6.85410	+	17.9443i	−0.412568	+	1.08012i
$277$	14.2757	−	19.6489i	0.857746	−	1.18059i	−0.124356	−	0.992238i	$-0.539687\pi$
$277$	14.2757	−	19.6489i	0.857746	−	1.18059i	0.982102	−	0.188349i	$-0.0603135\pi$
$278$	27.8362	+	9.04454i	1.66951	+	0.542455i
$279$	−7.27203	+	16.4799i	−0.435365	+	0.986623i
$280$	−21.2603	+	15.4465i	−1.27055	+	0.923106i
$281$	8.07203	−	5.86468i	0.481537	−	0.349857i	−0.320383	−	0.947288i	$-0.603812\pi$
$281$	8.07203	−	5.86468i	0.481537	−	0.349857i	0.801921	+	0.597431i	$0.203812\pi$
$282$	25.3881	+	1.28840i	1.51184	+	0.0767231i
$283$	20.1494	+	6.54695i	1.19776	+	0.389175i	0.838936	−	0.544230i	$-0.183178\pi$
$283$	20.1494	+	6.54695i	1.19776	+	0.389175i	0.358823	+	0.933406i	$0.383178\pi$
$284$	9.25166	−	12.7338i	0.548985	−	0.755613i
$285$	1.20109	+	0.458774i	0.0711463	+	0.0271755i
$286$	−2.81036	+	3.62078i	−0.166180	+	0.214101i
$287$			11.7382i			0.692884i
$288$	0.426359	+	1.97371i	0.0251234	+	0.116302i
$289$	−5.25295	+	16.1669i	−0.308997	+	0.950995i
$290$	13.4047	−	4.35544i	0.787149	−	0.255760i
$291$	1.26272	−	0.340586i	0.0740219	−	0.0199655i
$292$	12.3759	+	17.0339i	0.724244	+	0.996836i
$293$	2.85851	+	8.79758i	0.166996	+	0.513960i	0.999178	−	0.0405424i	$-0.0129086\pi$
$293$	2.85851	+	8.79758i	0.166996	+	0.513960i	−0.832182	+	0.554503i	$0.812909\pi$
$294$	52.6140	−	65.1932i	3.06851	−	3.80214i
$295$	−3.08795	−	2.24353i	−0.179787	−	0.130623i
$296$	−17.3510			−1.00851
$297$	−17.0876	+	2.23955i	−0.991520	+	0.129952i
$298$	42.3075			2.45081
$299$	−1.23767	−	0.899221i	−0.0715764	−	0.0520033i
$300$	−4.42422	+	5.48199i	−0.255433	+	0.316503i
$301$	−7.51500	−	23.1288i	−0.433157	−	1.33312i
$302$	−3.72974	−	5.13354i	−0.214622	−	0.295402i
$303$	18.8427	−	5.08233i	1.08248	−	0.291972i
$304$	3.11170	−	1.01105i	0.178468	−	0.0579879i
$305$	−1.55393	+	4.78249i	−0.0889775	+	0.273845i
$306$	−0.0515567	−	0.238667i	−0.00294730	−	0.0136437i
$307$			3.91403i			0.223386i	0.993743	+	0.111693i	$0.0356273\pi$
$307$			3.91403i			0.223386i	−0.993743	+	0.111693i	$0.964373\pi$
$308$	−65.4961	−	23.6029i	−3.73198	−	1.34490i
$309$	−13.1360	−	5.01752i	−0.747282	−	0.285437i
$310$	−8.69315	+	11.9651i	−0.493738	+	0.679572i
$311$	26.6243	+	8.65076i	1.50973	+	0.490540i	0.942837	−	0.333254i	$-0.108147\pi$
$311$	26.6243	+	8.65076i	1.50973	+	0.490540i	0.566889	+	0.823794i	$0.308147\pi$
$312$	−4.94173	−	0.250783i	−0.279770	−	0.0141978i
$313$	−4.13312	+	3.00289i	−0.233618	+	0.169733i	−0.698435	−	0.715673i	$-0.746120\pi$
$313$	−4.13312	+	3.00289i	−0.233618	+	0.169733i	0.464817	+	0.885407i	$0.346120\pi$
$314$	−38.2301	+	27.7758i	−2.15745	+	1.56748i
$315$	6.25071	−	14.1654i	0.352188	−	0.798127i
$316$	−39.7204	−	12.9059i	−2.23445	−	0.726016i
$317$	−15.2740	+	21.0228i	−0.857871	+	1.18076i	0.124202	+	0.992257i	$0.460363\pi$
$317$	−15.2740	+	21.0228i	−0.857871	+	1.18076i	−0.982073	+	0.188501i	$0.939637\pi$
$318$	8.39355	−	21.9746i	0.470687	−	1.23227i
$319$	14.9920	+	11.6364i	0.839393	+	0.651516i
$320$		−	7.15736i		−	0.400108i
$321$	−0.389017	−	0.596868i	−0.0217128	−	0.0333139i
$322$	10.7117	−	32.9673i	0.596940	−	1.83719i
$323$	−0.0233279	+	0.00757968i	−0.00129800	+	0.000421745i
$324$	−24.6729	−	27.0398i	−1.37072	−	1.50221i
$325$	−0.329779	−	0.453901i	−0.0182928	−	0.0251779i
$326$	−11.1515	−	34.3209i	−0.617626	−	1.90086i
$327$	−1.17905	−	0.951550i	−0.0652017	−	0.0526208i
$328$	9.36901	+	6.80698i	0.517317	+	0.375853i
$329$	−30.7520			−1.69541
$330$	−14.1018	−	1.16504i	−0.776277	−	0.0641336i
$331$	35.6436			1.95915			0.979575	−	0.201077i	$-0.0644441\pi$
$331$	35.6436			1.95915			0.979575	+	0.201077i	$0.0644441\pi$
$332$	−37.4285	−	27.1934i	−2.05416	−	1.49243i
$333$	8.83631	−	5.14072i	0.484227	−	0.281710i
$334$	−15.8453	−	48.7667i	−0.867014	−	2.66839i
$335$	5.71724	+	7.86910i	0.312366	+	0.429935i
$336$	−10.2606	−	38.0412i	−0.559764	−	2.07532i
$337$	−9.04209	+	2.93795i	−0.492554	+	0.160041i	−0.544754	−	0.838596i	$-0.683377\pi$
$337$	−9.04209	+	2.93795i	−0.492554	+	0.160041i	0.0521995	+	0.998637i	$0.483377\pi$
$338$	−9.65548	+	29.7165i	−0.525189	+	1.61637i
$339$	−12.6027	+	8.21401i	−0.684487	+	0.446124i
$340$		−	0.134393i		−	0.00728847i
$341$	−19.9041	−	0.631672i	−1.07787	−	0.0342069i
$342$	−3.65688	+	4.08851i	−0.197741	+	0.221082i
$343$	−38.3340	+	52.7622i	−2.06984	+	2.84889i
$344$	−22.8185	−	7.41419i	−1.23029	−	0.399746i
$345$	0.239368	−	4.71679i	0.0128871	−	0.253943i
$346$	30.7412	−	22.3348i	1.65266	−	1.20072i
$347$	16.8889	−	12.2705i	0.906643	−	0.658714i	−0.0335210	−	0.999438i	$-0.510672\pi$
$347$	16.8889	−	12.2705i	0.906643	−	0.658714i	0.940163	+	0.340724i	$0.110672\pi$
$348$	−2.04302	+	40.2580i	−0.109517	+	2.15806i
$349$	−30.4221	−	9.88473i	−1.62846	−	0.529118i	−0.654541	−	0.756027i	$-0.727138\pi$
$349$	−30.4221	−	9.88473i	−1.62846	−	0.529118i	−0.973916	+	0.226909i	$0.927138\pi$
$350$	7.47224	−	10.2847i	0.399408	−	0.549738i
$351$	2.59096	−	1.33641i	0.138295	−	0.0713322i
$352$	−1.84672	+	1.25419i	−0.0984304	+	0.0668487i
$353$			14.8770i			0.791824i	0.918289	+	0.395912i	$0.129571\pi$
$353$			14.8770i			0.791824i	−0.918289	+	0.395912i	$0.870429\pi$
$354$	13.6424	−	8.89161i	0.725084	−	0.472584i
$355$	−1.19588	+	3.68055i	−0.0634709	+	0.195343i
$356$	45.1385	−	14.6664i	2.39234	−	0.777317i
$357$	0.0769221	+	0.285188i	0.00407115	+	0.0150938i
$358$	21.1704	+	29.1386i	1.11889	+	1.54002i
$359$	8.60921	+	26.4964i	0.454377	+	1.39843i	0.871865	+	0.489746i	$0.162910\pi$
$359$	8.60921	+	26.4964i	0.454377	+	1.39843i	−0.417489	+	0.908682i	$0.637090\pi$
$360$	−7.68149	−	13.2036i	−0.404850	−	0.695890i
$361$	−14.9255	−	10.8440i	−0.785554	−	0.570739i
$362$	15.6524			0.822671
$363$	−9.37018	−	16.5891i	−0.491807	−	0.870704i
$364$	11.7770			0.617285
$365$	−4.18814	−	3.04286i	−0.219217	−	0.159271i
$366$	−16.6950	−	13.4736i	−0.872661	−	0.704278i
$367$	4.91113	+	15.1149i	0.256359	+	0.788992i	0.993559	+	0.113317i	$0.0361477\pi$
$367$	4.91113	+	15.1149i	0.256359	+	0.788992i	−0.737200	+	0.675675i	$0.763852\pi$
$368$	−7.06428	−	9.72315i	−0.368251	−	0.506854i
$369$	−6.78808	−	0.690743i	−0.353374	−	0.0359587i
$370$	7.98274	−	2.59375i	0.415003	−	0.134843i
$371$	−8.79348	+	27.0636i	−0.456535	+	1.40507i
$372$	−23.0958	−	35.4359i	−1.19746	−	1.83726i
$373$		−	11.2020i		−	0.580016i	−0.957024	−	0.290008i	$-0.906342\pi$
$373$		−	11.2020i		−	0.580016i	0.957024	−	0.290008i	$-0.0936580\pi$
$374$	0.223311	−	0.151661i	0.0115471	−	0.00784222i
$375$	0.618034	−	1.61803i	0.0319151	−	0.0835549i
$376$	−17.8331	+	24.5452i	−0.919672	+	1.26582i
$377$	−3.05328	−	0.992070i	−0.157252	−	0.0510942i
$378$	46.9402	+	46.4763i	2.41434	+	2.39048i
$379$	−17.4849	+	12.7035i	−0.898138	+	0.652535i	−0.937987	−	0.346670i	$-0.887312\pi$
$379$	−17.4849	+	12.7035i	−0.898138	+	0.652535i	0.0398492	+	0.999206i	$0.487312\pi$
$380$	−2.44252	+	1.77460i	−0.125299	+	0.0910349i
$381$	−4.58321	−	0.232589i	−0.234805	−	0.0119159i
$382$	8.62048	+	2.80096i	0.441062	+	0.143310i
$383$	16.6127	−	22.8654i	0.848869	−	1.16837i	−0.135242	−	0.990813i	$-0.543181\pi$
$383$	16.6127	−	22.8654i	0.848869	−	1.16837i	0.984111	−	0.177555i	$-0.0568189\pi$
$384$	30.7037	+	11.7278i	1.56684	+	0.598480i
$385$	17.1087	+	0.542957i	0.871939	+	0.0276716i
$386$			2.03007i			0.103328i
$387$	13.8174	−	2.98482i	0.702377	−	0.151727i
$388$	−0.949012	+	2.92076i	−0.0481788	+	0.148279i
$389$	10.7434	−	3.49073i	0.544710	−	0.176987i	−0.0237199	−	0.999719i	$-0.507551\pi$
$389$	10.7434	−	3.49073i	0.544710	−	0.176987i	0.568430	+	0.822732i	$0.307551\pi$
$390$	2.31105	−	0.623345i	0.117024	−	0.0315643i
$391$	0.0529596	+	0.0728926i	0.00267828	+	0.00368634i
$392$	30.8972	+	95.0919i	1.56055	+	4.80287i
$393$	−18.1129	+	22.4435i	−0.913677	+	1.13212i
$394$	−26.3800	−	19.1662i	−1.32900	−	0.965578i
$395$	10.2686			0.516672
$396$	17.5035	−	36.4868i	0.879584	−	1.83353i
$397$	5.97765			0.300010			0.150005	−	0.988685i	$-0.452071\pi$
$397$	5.97765			0.300010			0.150005	+	0.988685i	$0.452071\pi$
$398$	−19.1749	−	13.9314i	−0.961151	−	0.698317i
$399$	4.16743	−	5.16381i	0.208633	−	0.258514i
$400$	−1.36203	−	4.19190i	−0.0681016	−	0.209595i
$401$	−15.1269	−	20.8204i	−0.755401	−	1.03972i	−0.997583	−	0.0694895i	$-0.977863\pi$
$401$	−15.1269	−	20.8204i	−0.755401	−	1.03972i	0.242182	−	0.970231i	$-0.422137\pi$
$402$	−40.0657	+	10.8067i	−1.99829	+	0.538988i
$403$	3.20387	−	1.04100i	0.159596	−	0.0518559i
$404$	−14.1615	+	43.5845i	−0.704559	+	2.16841i
$405$	7.82385	+	4.44829i	0.388770	+	0.221038i
$406$		−	72.7425i		−	3.61015i
$407$	8.92805	+	6.92973i	0.442547	+	0.343494i
$408$	0.272234	+	0.103984i	0.0134776	+	0.00514798i
$409$	−8.69833	+	11.9722i	−0.430105	+	0.591989i	−0.967977	−	0.251038i	$-0.919228\pi$
$409$	−8.69833	+	11.9722i	−0.430105	+	0.591989i	0.537872	+	0.843026i	$0.319228\pi$
$410$	−5.32798	−	1.73117i	−0.263130	−	0.0854962i
$411$	22.0623	+	1.11962i	1.08825	+	0.0552267i
$412$	26.7133	−	19.4084i	1.31607	−	0.956182i
$413$	−15.9371	+	11.5790i	−0.784212	+	0.569763i
$414$	18.4343	+	8.13446i	0.905996	+	0.399787i
$415$	10.8183	+	3.51506i	0.531047	+	0.172548i
$416$	0.221967	−	0.305511i	0.0108828	−	0.0149789i
$417$	7.34383	−	19.2264i	0.359629	−	0.941521i
$418$	−5.70510	−	2.05595i	−0.279045	−	0.100560i
$419$		−	19.7867i		−	0.966642i	−0.875443	−	0.483321i	$-0.839430\pi$
$419$		−	19.7867i		−	0.966642i	0.875443	−	0.483321i	$-0.160570\pi$
$420$	19.8521	+	30.4591i	0.968685	+	1.48625i
$421$	4.88849	−	15.0452i	0.238250	−	0.733259i	−0.758423	−	0.651762i	$-0.774030\pi$
$421$	4.88849	−	15.0452i	0.238250	−	0.733259i	0.996674	−	0.0814968i	$-0.0259700\pi$
$422$	−4.88405	+	1.58692i	−0.237752	+	0.0772503i
$423$	1.80963	−	17.7836i	0.0879870	−	0.864668i
$424$	16.5018	+	22.7128i	0.801399	+	1.10303i
$425$	0.0102109	+	0.0314259i	0.000495301	+	0.00152438i
$426$	−12.8483	−	10.3692i	−0.622501	−	0.502387i
$427$	20.9964	+	15.2548i	1.01609	+	0.738229i
$428$	1.67297			0.0808660
$429$	2.44263	+	2.10269i	0.117931	+	0.101519i
$430$	11.6065			0.559715
$431$	−27.4746	−	19.9615i	−1.32341	−	0.961511i	−0.999883	−	0.0152912i	$-0.995132\pi$
$431$	−27.4746	−	19.9615i	−1.32341	−	0.961511i	−0.323524	−	0.946220i	$-0.604868\pi$
$432$	22.6027	−	3.69506i	1.08747	−	0.177779i
$433$	7.63957	+	23.5122i	0.367134	+	1.12992i	0.948634	+	0.316376i	$0.102466\pi$
$433$	7.63957	+	23.5122i	0.367134	+	1.12992i	−0.581500	+	0.813547i	$0.697534\pi$
$434$	44.8658	+	61.7525i	2.15363	+	2.96422i
$435$	−2.58099	−	9.56902i	−0.123749	−	0.458799i
$436$	3.38368	−	1.09942i	0.162049	−	0.0526528i
$437$	0.625480	−	1.92503i	0.0299208	−	0.0920867i
$438$	18.5030	−	12.0596i	0.884106	−	0.576228i
$439$			36.3858i			1.73660i	0.496041	+	0.868299i	$0.334787\pi$
$439$			36.3858i			1.73660i	−0.496041	+	0.868299i	$0.665213\pi$
$440$	10.3547	−	13.3407i	0.493641	−	0.635991i
$441$	−43.9086	−	39.2730i	−2.09088	−	1.87014i
$442$	−0.0268409	+	0.0369434i	−0.00127669	+	0.00175722i
$443$	7.42179	+	2.41149i	0.352620	+	0.114573i	0.479971	−	0.877285i	$-0.340647\pi$
$443$	7.42179	+	2.41149i	0.352620	+	0.114573i	−0.127351	+	0.991858i	$0.540647\pi$
$444$	−1.21666	+	23.9744i	−0.0577399	+	1.13778i
$445$	−9.44071	+	6.85908i	−0.447533	+	0.325151i
$446$	2.83891	−	2.06259i	0.134426	−	0.0976664i
$447$	1.50781	−	29.7116i	0.0713168	−	1.40531i
$448$	−35.1316	−	11.4149i	−1.65981	−	0.539305i
$449$	14.5002	−	19.9579i	0.684309	−	0.941870i	−0.315667	−	0.948870i	$-0.602228\pi$
$449$	14.5002	−	19.9579i	0.684309	−	0.941870i	0.999976	+	0.00699979i	$0.00222812\pi$
$450$	5.50781	+	4.92633i	0.259640	+	0.232229i
$451$	−2.10226	−	7.24440i	−0.0989917	−	0.341125i
$452$		−	35.3244i		−	1.66152i
$453$	−3.73809	+	2.43635i	−0.175631	+	0.114470i
$454$	8.26714	−	25.4437i	0.387996	−	1.19413i
$455$	−2.75390	+	0.894797i	−0.129105	+	0.0419487i
$456$	−1.70487	−	6.32079i	−0.0798378	−	0.295998i
$457$	−12.9981	−	17.8903i	−0.608025	−	0.836874i	0.388389	−	0.921496i	$-0.373032\pi$
$457$	−12.9981	−	17.8903i	−0.608025	−	0.836874i	−0.996413	+	0.0846217i	$0.973032\pi$
$458$	−15.3234	−	47.1607i	−0.716017	−	2.20367i
$459$	−0.169448	+	0.0277012i	−0.00790915	+	0.00129298i
$460$	8.97214	+	6.51864i	0.418328	+	0.303933i
$461$	30.3758			1.41474			0.707372	−	0.706842i	$-0.249881\pi$
$461$	30.3758			1.41474			0.707372	+	0.706842i	$0.249881\pi$
$462$	−28.2088	+	67.3598i	−1.31239	+	3.13386i
$463$	4.09884			0.190489			0.0952446	−	0.995454i	$-0.469637\pi$
$463$	4.09884			0.190489			0.0952446	+	0.995454i	$0.469637\pi$
$464$	−20.4042	−	14.8245i	−0.947240	−	0.688210i
$465$	8.09299	+	6.53143i	0.375304	+	0.302888i
$466$	10.7318	+	33.0292i	0.497143	+	1.53005i
$467$	−13.1153	−	18.0516i	−0.606903	−	0.835330i	0.389415	−	0.921062i	$-0.372677\pi$
$467$	−13.1153	−	18.0516i	−0.606903	−	0.835330i	−0.996318	+	0.0857320i	$0.972677\pi$
$468$	−0.693029	+	6.81055i	−0.0320353	+	0.314818i
$469$	47.7433	−	15.5127i	2.20458	−	0.716312i
$470$	4.53535	−	13.9584i	0.209200	−	0.643852i
$471$	18.1438	+	27.8380i	0.836023	+	1.28271i
$472$			19.4350i			0.894570i
$473$	8.78026	+	12.9284i	0.403717	+	0.594446i
$474$	−15.6322	+	40.9256i	−0.718009	+	1.87977i
$475$	0.436320	−	0.600544i	0.0200198	−	0.0275548i
$476$	−0.659661	−	0.214337i	−0.0302355	−	0.00982411i
$477$	−15.1331	−	6.67776i	−0.692898	−	0.305754i
$478$	4.62510	−	3.36033i	0.211547	−	0.153698i
$479$	−0.884082	+	0.642323i	−0.0403947	+	0.0293485i	−0.607799	−	0.794091i	$-0.707948\pi$
$479$	−0.884082	+	0.642323i	−0.0403947	+	0.0293485i	0.567405	+	0.823439i	$0.307948\pi$
$480$	1.16431	+	0.0590863i	0.0531431	+	0.00269691i
$481$	−1.81829	−	0.590797i	−0.0829067	−	0.0269380i
$482$	−24.5986	+	33.8570i	−1.12043	+	1.54215i
$483$	−22.7704	−	8.69751i	−1.03609	−	0.395751i
$484$	44.6490	+	2.83680i	2.02950	+	0.128945i
$485$		−	0.755084i		−	0.0342866i
$486$	−29.6390	+	24.4101i	−1.34445	+	1.10727i
$487$	1.29506	−	3.98579i	0.0586849	−	0.180614i	−0.917417	−	0.397928i	$-0.869730\pi$
$487$	1.29506	−	3.98579i	0.0586849	−	0.180614i	0.976102	+	0.217314i	$0.0697295\pi$
$488$	24.3516	−	7.91231i	1.10234	−	0.358174i
$489$	−24.5002	+	6.60830i	−1.10794	+	0.298838i
$490$	−28.4300	−	39.1305i	−1.28434	−	1.76774i
$491$	13.0988	+	40.3141i	0.591143	+	1.81935i	0.573059	+	0.819514i	$0.305756\pi$
$491$	13.0988	+	40.3141i	0.591143	+	1.81935i	0.0180833	+	0.999836i	$0.494244\pi$
$492$	10.0624	−	12.4681i	0.453646	−	0.562107i
$493$	0.152966	+	0.111136i	0.00688925	+	0.00500533i
$494$	1.02585			0.0461552
$495$	−1.32076	+	9.86183i	−0.0593637	+	0.443256i
$496$	26.4649			1.18831
$497$	16.1586	+	11.7399i	0.724811	+	0.526606i
$498$	−30.4781	+	37.7649i	−1.36576	+	1.69229i
$499$	0.625136	+	1.92397i	0.0279850	+	0.0861288i	0.964074	−	0.265636i	$-0.0855818\pi$
$499$	0.625136	+	1.92397i	0.0279850	+	0.0861288i	−0.936089	+	0.351764i	$0.885582\pi$
$500$	2.39063	+	3.29042i	0.106912	+	0.147152i
$501$	−34.8124	+	9.38975i	−1.55530	+	0.419503i
$502$	−61.2326	+	19.8957i	−2.73295	+	0.887988i
$503$	11.5098	−	35.4236i	0.513198	−	1.57946i	−0.273338	−	0.961918i	$-0.588128\pi$
$503$	11.5098	−	35.4236i	0.513198	−	1.57946i	0.786536	−	0.617544i	$-0.211872\pi$
$504$	−77.0601	+	16.6465i	−3.43253	+	0.741492i
$505$		−	11.2676i		−	0.501402i
$506$	−0.706585	+	22.2646i	−0.0314115	+	0.989784i
$507$	20.5251	+	7.83990i	0.911552	+	0.348182i
$508$	6.33403	−	8.71804i	0.281027	−	0.386801i
$509$	−5.07641	−	1.64943i	−0.225008	−	0.0731095i	0.194343	−	0.980934i	$-0.437742\pi$
$509$	−5.07641	−	1.64943i	−0.225008	−	0.0731095i	−0.419351	+	0.907824i	$0.637742\pi$
$510$	−0.140792	−	0.00714491i	−0.00623437	−	0.000316382i
$511$	−21.6152	+	15.7044i	−0.956202	+	0.694721i
$512$	−33.9132	+	24.6394i	−1.49877	+	1.08892i
$513$	2.74094	+	2.71385i	0.121016	+	0.119820i
$514$	50.8167	+	16.5113i	2.24143	+	0.728284i
$515$	−4.77194	+	6.56801i	−0.210277	+	0.289421i
$516$	−11.8444	+	31.0091i	−0.521422	+	1.36510i
$517$	18.9791	−	5.50756i	0.834698	−	0.242222i
$518$		−	43.3196i		−	1.90335i
$519$	−14.5896	−	22.3848i	−0.640412	−	0.982584i
$520$	−0.882794	+	2.71696i	−0.0387131	+	0.119147i
$521$	16.8431	−	5.47265i	0.737909	−	0.239761i	0.0841383	−	0.996454i	$-0.473186\pi$
$521$	16.8431	−	5.47265i	0.737909	−	0.239761i	0.653770	+	0.756693i	$0.273186\pi$
$522$	42.0663	+	4.28059i	1.84119	+	0.187356i
$523$	−6.38808	−	8.79244i	−0.279331	−	0.384466i	0.646181	−	0.763184i	$-0.276365\pi$
$523$	−6.38808	−	8.79244i	−0.279331	−	0.384466i	−0.925512	+	0.378718i	$0.876365\pi$
$524$	−20.9277	−	64.4090i	−0.914232	−	2.81372i
$525$	−6.95638	−	5.61412i	−0.303601	−	0.245020i
$526$	−6.56308	−	4.76836i	−0.286164	−	0.207910i
$527$	−0.198402			−0.00864253
$528$	13.1455	+	21.6401i	0.572086	+	0.941763i
$529$	15.5649			0.676734
$530$	−10.9873	−	7.98274i	−0.477258	−	0.346748i
$531$	−5.75817	−	9.89762i	−0.249883	−	0.429520i
$532$	4.81506	+	14.8192i	0.208759	+	0.642495i
$533$	0.750042	+	1.03234i	0.0324879	+	0.0447158i
$534$	−12.9650	−	48.0675i	−0.561049	−	2.08009i
$535$	−0.391201	+	0.127109i	−0.0169131	+	0.00549540i
$536$	15.3046	−	47.1028i	0.661060	−	2.03453i
$537$	21.2179	−	13.8290i	0.915619	−	0.596767i
$538$			22.0592i			0.951038i
$539$	22.0799	−	61.2698i	0.951049	−	2.63908i
$540$	−18.7824	+	9.68790i	−0.808266	+	0.416901i
$541$	−15.7923	+	21.7362i	−0.678964	+	0.934513i	−0.999921	−	0.0125803i	$-0.995995\pi$
$541$	−15.7923	+	21.7362i	−0.678964	+	0.934513i	0.320957	+	0.947094i	$0.395995\pi$
$542$	−12.8034	−	4.16009i	−0.549955	−	0.178691i
$543$	0.557838	−	10.9923i	0.0239391	−	0.471725i
$544$	−0.0179930	+	0.0130727i	−0.000771445	+	0.000560487i
$545$	−0.707695	+	0.514171i	−0.0303143	+	0.0220246i
$546$	0.626120	−	12.3378i	0.0267955	−	0.528010i
$547$	−32.1952	−	10.4609i	−1.37657	−	0.447275i	−0.475029	−	0.879970i	$-0.657563\pi$
$547$	−32.1952	−	10.4609i	−1.37657	−	0.447275i	−0.901540	+	0.432695i	$0.857563\pi$
$548$	−30.4903	+	41.9662i	−1.30248	+	1.79271i
$549$	−10.0572	+	11.2443i	−0.429232	+	0.479896i
$550$	−2.76966	+	7.68557i	−0.118099	+	0.327714i
$551$		−	4.24759i		−	0.180954i
$552$	−20.1466	+	13.1308i	−0.857496	+	0.558885i
$553$	16.3770	−	50.4032i	0.696421	−	2.14336i
$554$	56.8958	−	18.4866i	2.41727	−	0.785418i
$555$	−1.53703	−	5.69854i	−0.0652434	−	0.241889i
$556$	28.4069	+	39.0987i	1.20472	+	1.65815i
$557$	−2.45699	−	7.56184i	−0.104106	−	0.320406i	0.885414	−	0.464804i	$-0.153875\pi$
$557$	−2.45699	−	7.56184i	−0.104106	−	0.320406i	−0.989520	+	0.144399i	$0.953875\pi$
$558$	−38.3510	+	22.3116i	−1.62353	+	0.944525i
$559$	−2.13880	−	1.55393i	−0.0904614	−	0.0657241i
$560$	−22.7480			−0.961279
$561$	−0.0985496	−	0.162231i	−0.00416077	−	0.00684942i
$562$	24.5764			1.03669
$563$	21.8527	+	15.8769i	0.920983	+	0.669133i	0.943768	−	0.330607i	$-0.107253\pi$
$563$	21.8527	+	15.8769i	0.920983	+	0.669133i	−0.0227855	+	0.999740i	$0.507253\pi$
$564$	32.6643	+	26.3616i	1.37542	+	1.11003i
$565$	2.68388	+	8.26013i	0.112912	+	0.347506i
$566$	30.6739	+	42.2190i	1.28932	+	1.77460i
$567$	34.3122	−	31.3087i	1.44098	−	1.31484i
$568$	18.7407	−	6.08923i	0.786343	−	0.255498i
$569$	−9.89104	+	30.4415i	−0.414654	+	1.27617i	0.497906	+	0.867231i	$0.334103\pi$
$569$	−9.89104	+	30.4415i	−0.414654	+	1.27617i	−0.912560	+	0.408943i	$0.865897\pi$
$570$	1.72924	+	2.65317i	0.0724298	+	0.111129i
$571$		−	16.9234i		−	0.708221i	−0.935204	−	0.354110i	$-0.884784\pi$
$571$		−	16.9234i		−	0.708221i	0.935204	−	0.354110i	$-0.115216\pi$
$572$	−7.26837	+	2.10922i	−0.303906	+	0.0881909i
$573$	2.27428	−	5.95414i	0.0950094	−	0.248738i
$574$	−16.9947	+	23.3912i	−0.709346	+	0.976331i
$575$	−2.59329	−	0.842610i	−0.108148	−	0.0351393i
$576$	8.66849	−	19.6445i	0.361187	−	0.818521i
$577$	6.21890	−	4.51830i	0.258896	−	0.188099i	−0.450764	−	0.892643i	$-0.648848\pi$
$577$	6.21890	−	4.51830i	0.258896	−	0.188099i	0.709660	+	0.704544i	$0.248848\pi$
$578$	−33.8745	+	24.6112i	−1.40899	+	1.02369i
$579$	1.42567	+	0.0723499i	0.0592488	+	0.00300676i
$580$	22.1338	+	7.19172i	0.919057	+	0.298620i
$581$	34.5071	−	47.4949i	1.43159	−	1.97042i
$582$	3.00938	+	1.14948i	0.124743	+	0.0476475i
$583$	0.580052	−	18.2775i	0.0240233	−	0.756978i
$584$			26.3595i			1.09076i
$585$	−0.355397	−	1.64521i	−0.0146939	−	0.0680210i
$586$	−7.04098	+	21.6699i	−0.290860	+	0.895175i
$587$	1.76172	−	0.572416i	0.0727138	−	0.0236261i	−0.272434	−	0.962174i	$-0.587829\pi$
$587$	1.76172	−	0.572416i	0.0727138	−	0.0236261i	0.345148	+	0.938548i	$0.387829\pi$
$588$	133.558	−	36.0238i	5.50783	−	1.48560i
$589$	2.61981	+	3.60586i	0.107948	+	0.148577i
$590$	−2.90528	−	8.94154i	−0.119609	−	0.368117i
$591$	−14.4001	+	17.8430i	−0.592342	+	0.733963i
$592$	−12.1511	−	8.82828i	−0.499406	−	0.362840i
$593$	−10.8159			−0.444155			−0.222077	−	0.975029i	$-0.571284\pi$
$593$	−10.8159			−0.444155			−0.222077	+	0.975029i	$0.571284\pi$
$594$	−37.2935	−	20.2767i	−1.53017	−	0.831964i
$595$	0.170538			0.00699136
$596$	56.5165	+	41.0617i	2.31501	+	1.68195i
$597$	−10.4671	+	12.9696i	−0.428389	+	0.530810i
$598$	−1.16446	−	3.58383i	−0.0476182	−	0.146554i
$599$	3.28614	+	4.52298i	0.134268	+	0.184804i	0.870857	−	0.491537i	$-0.163565\pi$
$599$	3.28614	+	4.52298i	0.134268	+	0.184804i	−0.736589	+	0.676341i	$0.763565\pi$
$600$	−8.51499	+	2.29670i	−0.347623	+	0.0937624i
$601$	−11.7907	+	3.83104i	−0.480954	+	0.156272i	−0.539453	−	0.842016i	$-0.681369\pi$
$601$	−11.7907	+	3.83104i	−0.480954	+	0.156272i	0.0584983	+	0.998288i	$0.481369\pi$
$602$	18.5107	−	56.9700i	0.754439	−	2.32193i
$603$	6.16137	+	28.5223i	0.250910	+	1.16152i
$604$		−	10.4776i		−	0.426326i
$605$	−10.6561	+	2.72900i	−0.433232	+	0.110950i
$606$	44.9069	+	17.1529i	1.82422	+	0.696789i
$607$	−8.82016	+	12.1399i	−0.357999	+	0.492744i	−0.949590	−	0.313495i	$-0.898500\pi$
$607$	−8.82016	+	12.1399i	−0.357999	+	0.492744i	0.591591	+	0.806238i	$0.298500\pi$
$608$	0.475180	+	0.154395i	0.0192711	+	0.00626156i
$609$	−51.0854	−	2.59249i	−2.07009	−	0.105053i
$610$	−10.0207	+	7.28048i	−0.405727	+	0.294778i
$611$	−2.70456	+	1.96498i	−0.109415	+	0.0794945i
$612$	0.162767	−	0.368862i	0.00657947	−	0.0149104i
$613$	−22.5108	−	7.31421i	−0.909204	−	0.295418i	−0.183173	−	0.983081i	$-0.558637\pi$
$613$	−22.5108	−	7.31421i	−0.909204	−	0.295418i	−0.726031	+	0.687662i	$0.758637\pi$
$614$	−5.66678	+	7.79966i	−0.228693	+	0.314769i
$615$	−1.40564	+	3.68002i	−0.0566810	+	0.148393i
$616$	−48.9679	−	72.1020i	−1.97297	−	2.90507i
$617$			41.7035i			1.67892i	0.543421	+	0.839460i	$0.317129\pi$
$617$			41.7035i			1.67892i	−0.543421	+	0.839460i	$0.682871\pi$
$618$	−18.9123	−	29.0171i	−0.760764	−	1.16724i
$619$	−2.27462	+	7.00055i	−0.0914246	+	0.281376i	−0.986305	−	0.164929i	$-0.947260\pi$
$619$	−2.27462	+	7.00055i	−0.0914246	+	0.281376i	0.894881	+	0.446305i	$0.147260\pi$
$620$	−23.2255	+	7.54642i	−0.932759	+	0.303072i
$621$	6.36963	−	12.6561i	0.255604	−	0.507871i
$622$	40.5307	+	55.7858i	1.62513	+	2.23681i
$623$	18.6109	+	57.2785i	0.745631	+	2.29482i
$624$	−3.33314	−	2.69000i	−0.133432	−	0.107686i
$625$	−0.809017	−	0.587785i	−0.0323607	−	0.0235114i
$626$	−12.5839			−0.502953
$627$	−1.64717	+	3.93329i	−0.0657818	+	0.157080i
$628$	−78.0276			−3.11364
$629$	0.0910944	+	0.0661839i	0.00363217	+	0.00263893i
$630$	32.9648	−	19.1780i	1.31335	−	0.764072i
$631$	10.9637	+	33.7427i	0.436456	+	1.34327i	0.891587	+	0.452850i	$0.149593\pi$
$631$	10.9637	+	33.7427i	0.436456	+	1.34327i	−0.455130	+	0.890425i	$0.650407\pi$
$632$	−30.7330	−	42.3004i	−1.22249	−	1.68262i
$633$	0.940397	+	3.48651i	0.0373774	+	0.138576i
$634$	−60.8742	+	19.7792i	−2.41762	+	0.785533i
$635$	−0.818747	+	2.51984i	−0.0324910	+	0.0999970i
$636$	32.5401	−	21.2084i	1.29030	−	0.840969i
$637$			11.0171i			0.436514i
$638$	13.0279	+	44.8941i	0.515779	+	1.77737i
$639$	−7.73992	+	8.65350i	−0.306187	+	0.342327i
$640$	11.1538	−	15.3518i	0.440891	−	0.606834i
$641$	9.91333	+	3.22104i	0.391553	+	0.127223i	0.498175	−	0.867076i	$-0.334004\pi$
$641$	9.91333	+	3.22104i	0.391553	+	0.127223i	−0.106622	+	0.994300i	$0.534004\pi$
$642$	0.0889424	−	1.75263i	0.00351028	−	0.0691707i
$643$	22.8047	−	16.5686i	0.899331	−	0.653402i	−0.0389633	−	0.999241i	$-0.512406\pi$
$643$	22.8047	−	16.5686i	0.899331	−	0.653402i	0.938294	+	0.345839i	$0.112406\pi$
$644$	46.3057	−	33.6431i	1.82470	−	1.32572i
$645$	0.413647	−	8.15098i	0.0162873	−	0.320945i
$646$	−0.0574604	−	0.0186700i	−0.00226075	−	0.000734562i
$647$	−17.9448	+	24.6989i	−0.705484	+	0.971015i	0.294399	+	0.955683i	$0.404881\pi$
$647$	−17.9448	+	24.6989i	−0.705484	+	0.971015i	−0.999882	+	0.0153326i	$0.995119\pi$
$648$	−5.09182	−	45.5426i	−0.200026	−	1.78908i
$649$	7.76205	−	10.0004i	0.304687	−	0.392549i
$650$		−	1.38197i		−	0.0542052i
$651$	44.9664	−	29.3074i	1.76237	−	1.14865i
$652$	18.4134	−	56.6708i	0.721126	−	2.21940i
$653$	−9.79067	+	3.18118i	−0.383138	+	0.124489i	−0.494252	−	0.869318i	$-0.664558\pi$
$653$	−9.79067	+	3.18118i	−0.383138	+	0.124489i	0.111114	+	0.993808i	$0.464558\pi$
$654$	−0.971881	−	3.60324i	−0.0380036	−	0.140898i
$655$	9.78734	+	13.4711i	0.382423	+	0.526360i
$656$	3.09778	+	9.53398i	0.120948	+	0.372239i
$657$	−7.80972	−	13.4240i	−0.304686	−	0.523720i
$658$	−61.2809	−	44.5232i	−2.38898	−	1.73569i
$659$	−20.3871			−0.794170			−0.397085	−	0.917782i	$-0.629978\pi$
$659$	−20.3871			−0.794170			−0.397085	+	0.917782i	$0.629978\pi$
$660$	−17.7071	−	15.2428i	−0.689249	−	0.593326i
$661$	3.84698			0.149630			0.0748151	−	0.997197i	$-0.476163\pi$
$661$	3.84698			0.149630			0.0748151	+	0.997197i	$0.476163\pi$
$662$	71.0286	+	51.6053i	2.76060	+	2.00570i
$663$	0.0249879	+	0.0201664i	0.000970449	+	0.000783198i
$664$	−17.8981	−	55.0846i	−0.694580	−	2.13770i
$665$	−2.25187	−	3.09944i	−0.0873239	−	0.120191i
$666$	25.0513	+	2.54917i	0.970718	+	0.0987785i
$667$	−14.8391	+	4.82151i	−0.574571	+	0.186689i
$668$	26.1637	−	80.5237i	1.01230	−	3.11555i
$669$	−1.34733	−	2.06721i	−0.0520908	−	0.0799229i
$670$			23.9586i			0.925601i
$671$	−15.6903	−	5.65433i	−0.605716	−	0.218283i
$672$	2.14692	−	5.62071i	0.0828193	−	0.216824i
$673$	22.4928	−	30.9587i	0.867034	−	1.19337i	−0.112813	−	0.993616i	$-0.535986\pi$
$673$	22.4928	−	30.9587i	0.867034	−	1.19337i	0.979846	−	0.199753i	$-0.0640140\pi$
$674$	−22.2722	−	7.23667i	−0.857892	−	0.278746i
$675$	3.65594	−	3.69244i	0.140717	−	0.142122i
$676$	−41.7397	+	30.3257i	−1.60537	+	1.16637i
$677$	−11.8441	+	8.60522i	−0.455205	+	0.330726i	−0.791647	−	0.610978i	$-0.790776\pi$
$677$	−11.8441	+	8.60522i	−0.455205	+	0.330726i	0.336443	+	0.941704i	$0.390776\pi$
$678$	−37.0064	−	1.87800i	−1.42122	−	0.0721242i
$679$	−3.70630	−	1.20425i	−0.142235	−	0.0462148i
$680$	0.0988948	−	0.136117i	0.00379244	−	0.00521985i
$681$	−17.5739	−	6.71262i	−0.673432	−	0.257228i
$682$	−38.7492	−	30.0762i	−1.48378	−	1.15168i
$683$		−	3.68574i		−	0.141031i	−0.997511	−	0.0705155i	$-0.977536\pi$
$683$		−	3.68574i		−	0.141031i	0.997511	−	0.0705155i	$-0.0224644\pi$
$684$	−8.85316	+	1.91245i	−0.338509	+	0.0731245i
$685$	3.94122	−	12.1298i	0.150586	−	0.463457i
$686$	−152.780	+	49.6411i	−5.83315	+	1.89531i
$687$	−33.6660	+	9.08053i	−1.28444	+	0.346444i
$688$	−12.2076	−	16.8024i	−0.465412	−	0.640584i
$689$	0.955930	+	2.94205i	0.0364180	+	0.112083i
$690$	7.30602	−	9.05279i	0.278136	−	0.344634i
$691$	24.7913	+	18.0119i	0.943104	+	0.685205i	0.949166	−	0.314776i	$-0.101929\pi$
$691$	24.7913	+	18.0119i	0.943104	+	0.685205i	−0.00606152	+	0.999982i	$0.501929\pi$
$692$	62.7427			2.38512
$693$	46.2999	+	22.2111i	1.75879	+	0.843728i
$694$	51.4206			1.95190
$695$	−9.61320	−	6.98440i	−0.364650	−	0.264933i
$696$	−31.6937	+	39.2712i	−1.20135	+	1.48857i
$697$	−0.0232235	−	0.0714744i	−0.000879651	−	0.00270729i
$698$	−46.3121	−	63.7432i	−1.75294	−	2.41272i
$699$	23.5781	−	6.35959i	0.891807	−	0.240542i
$700$	19.9636	−	6.48657i	0.754553	−	0.245169i
$701$	2.49417	−	7.67627i	0.0942035	−	0.289929i	−0.892842	−	0.450370i	$-0.851292\pi$
$701$	2.49417	−	7.67627i	0.0942035	−	0.289929i	0.987045	+	0.160442i	$0.0512919\pi$
$702$	7.09799	+	1.08811i	0.267896	+	0.0410679i
$703$		−	2.52953i		−	0.0954029i
$704$	23.7263	+	0.752973i	0.894219	+	0.0283787i
$705$	−9.64102	−	3.68254i	−0.363102	−	0.138693i
$706$	−21.5391	+	29.6461i	−0.810636	+	1.11574i
$707$	−55.3066	−	17.9702i	−2.08002	−	0.675839i
$708$	26.8540	+	1.36279i	1.00923	+	0.0512167i
$709$	6.79268	−	4.93517i	0.255104	−	0.185344i	−0.452882	−	0.891571i	$-0.649604\pi$
$709$	6.79268	−	4.93517i	0.255104	−	0.185344i	0.707986	+	0.706226i	$0.249604\pi$
$710$	−7.71184	+	5.60298i	−0.289420	+	0.210276i
$711$	28.1840	+	12.4367i	1.05698	+	0.466411i
$712$	56.5102	+	18.3613i	2.11781	+	0.688117i
$713$	9.62338	−	13.2454i	0.360398	−	0.496046i
$714$	−0.259613	+	0.679675i	−0.00971577	+	0.0254362i
$715$	1.53936	−	1.04545i	0.0575687	−	0.0390976i
$716$			59.4719i			2.22257i
$717$	−2.19505	−	3.36786i	−0.0819756	−	0.125775i
$718$	−21.2059	+	65.2651i	−0.791398	+	2.43567i
$719$	−28.4635	+	9.24835i	−1.06151	+	0.344905i	−0.787176	−	0.616729i	$-0.788457\pi$
$719$	−28.4635	+	9.24835i	−1.06151	+	0.344905i	−0.274334	+	0.961634i	$0.588457\pi$
$720$	1.33862	−	13.1550i	0.0498876	−	0.490256i
$721$	24.6283	+	33.8979i	0.917204	+	1.26242i
$722$	−14.0426	−	43.2187i	−0.522612	−	1.60844i
$723$	22.9003	+	18.4816i	0.851673	+	0.687340i
$724$	20.9092	+	15.1915i	0.777086	+	0.564586i
$725$	−5.72211			−0.212514
$726$	5.34561	−	46.6242i	0.198394	−	1.73039i
$727$	11.4941			0.426292			0.213146	−	0.977020i	$-0.431629\pi$
$727$	11.4941			0.426292			0.213146	+	0.977020i	$0.431629\pi$
$728$	11.9282	+	8.66631i	0.442087	+	0.321195i
$729$	16.0864	+	21.6848i	0.595791	+	0.803139i
$730$	−3.94039	−	12.1273i	−0.145841	−	0.448851i
$731$	0.0915183	+	0.125964i	0.00338493	+	0.00465895i
$732$	−9.22514	−	34.2021i	−0.340971	−	1.26415i
$733$	−22.8495	+	7.42425i	−0.843965	+	0.274221i	−0.698916	−	0.715203i	$-0.746334\pi$
$733$	−22.8495	+	7.42425i	−0.843965	+	0.274221i	−0.145049	+	0.989424i	$0.546334\pi$
$734$	−12.0969	+	37.2306i	−0.446506	+	1.37420i
$735$	−28.4937	+	18.5711i	−1.05101	+	0.685007i
$736$		−	1.83531i		−	0.0676504i
$737$	−26.6872	+	18.1245i	−0.983035	+	0.667626i
$738$	−12.5268	−	11.2043i	−0.461119	−	0.412438i
$739$	28.1573	−	38.7552i	1.03578	−	1.42563i	0.135269	−	0.990809i	$-0.456810\pi$
$739$	28.1573	−	38.7552i	1.03578	−	1.42563i	0.900515	−	0.434825i	$-0.143190\pi$
$740$	13.1811	+	4.28281i	0.484548	+	0.157439i
$741$	0.0365605	−	0.720432i	0.00134308	−	0.0264657i
$742$	−56.7061	+	41.1994i	−2.08175	+	1.51248i
$743$	30.3381	−	22.0419i	1.11300	−	0.808641i	0.129865	−	0.991532i	$-0.458546\pi$
$743$	30.3381	−	22.0419i	1.11300	−	0.808641i	0.983133	+	0.182891i	$0.0585456\pi$
$744$	2.68386	−	52.8859i	0.0983950	−	1.93889i
$745$	−16.3354	−	5.30770i	−0.598483	−	0.194459i
$746$	16.2183	−	22.3226i	0.593796	−	0.817290i
$747$	25.4352	+	22.7500i	0.930627	+	0.832378i
$748$	0.445506	+	0.0141385i	0.0162893	+	0.000516953i
$749$			2.12291i			0.0775696i
$750$	3.57419	−	2.32953i	0.130511	−	0.0850624i
$751$	9.23145	−	28.4115i	0.336860	−	1.03675i	−0.628938	−	0.777455i	$-0.716510\pi$
$751$	9.23145	−	28.4115i	0.336860	−	1.03675i	0.965798	−	0.259294i	$-0.0834899\pi$
$752$	−24.9774	+	8.11564i	−0.910831	+	0.295947i
$753$	11.7900	+	43.7113i	0.429652	+	1.59293i
$754$	−4.64807	−	6.39751i	−0.169273	−	0.232984i
$755$	0.796065	+	2.45004i	0.0289718	+	0.0891659i
$756$	17.5974	+	107.643i	0.640012	+	3.91495i
$757$	−27.3377	−	19.8620i	−0.993605	−	0.721897i	−0.0328978	−	0.999459i	$-0.510474\pi$
$757$	−27.3377	−	19.8620i	−0.993605	−	0.721897i	−0.960708	+	0.277562i	$0.910474\pi$
$758$	−53.2352			−1.93359
$759$	15.6108	+	1.28971i	0.566635	+	0.0468136i
$760$	−3.77972			−0.137105
$761$	−23.2927	−	16.9231i	−0.844360	−	0.613463i	0.0792253	−	0.996857i	$-0.474755\pi$
$761$	−23.2927	−	16.9231i	−0.844360	−	0.613463i	−0.923585	+	0.383393i	$0.874755\pi$
$762$	−8.79641	−	7.09911i	−0.318660	−	0.257174i
$763$	1.39511	+	4.29372i	0.0505065	+	0.155443i
$764$	8.79720	+	12.1083i	0.318271	+	0.438063i
$765$	−0.0100354	+	0.0986202i	−0.000362831	+	0.00356562i
$766$	66.2097	−	21.5128i	2.39225	−	0.777290i
$767$	−0.661757	+	2.03668i	−0.0238946	+	0.0735402i
$768$	30.6668	+	47.0521i	1.10659	+	1.69785i
$769$		−	16.4288i		−	0.592439i	−0.955120	−	0.296219i	$-0.904274\pi$
$769$		−	16.4288i		−	0.592439i	0.955120	−	0.296219i	$-0.0957260\pi$
$770$	33.3071	+	25.8521i	1.20030	+	0.931646i
$771$	13.4066	−	35.0989i	0.482827	−	1.26406i
$772$	−1.97029	+	2.71186i	−0.0709121	+	0.0976022i
$773$	−26.4825	−	8.60469i	−0.952510	−	0.309489i	−0.208775	−	0.977964i	$-0.566948\pi$
$773$	−26.4825	−	8.60469i	−0.952510	−	0.309489i	−0.743735	+	0.668475i	$0.766948\pi$
$774$	31.8559	+	14.0570i	1.14504	+	0.505268i
$775$	4.85761	−	3.52926i	0.174490	−	0.126775i
$776$	−3.11047	+	2.25989i	−0.111659	+	0.0811253i
$777$	−30.4224	−	1.54388i	−1.09140	−	0.0553862i
$778$	26.4627	+	8.59825i	0.948733	+	0.308262i
$779$	−0.992358	+	1.36586i	−0.0355549	+	0.0489372i
$780$	3.69220	+	1.41030i	0.132202	+	0.0504967i
$781$	−12.0751	−	4.35151i	−0.432080	−	0.155709i
$782$			0.221932i			0.00793626i
$783$	4.50537	−	29.3896i	0.161009	−	1.05030i
$784$	−26.7456	+	82.3143i	−0.955198	+	2.93980i
$785$	18.2457	−	5.92839i	0.651217	−	0.211593i
$786$	−68.5884	+	18.4999i	−2.44647	+	0.659871i
$787$	−11.5618	−	15.9134i	−0.412133	−	0.567252i	0.551604	−	0.834106i	$-0.314016\pi$
$787$	−11.5618	−	15.9134i	−0.412133	−	0.567252i	−0.963737	+	0.266854i	$0.914016\pi$
$788$	−16.6379	−	51.2063i	−0.592702	−	1.82415i
$789$	−3.58261	+	4.43916i	−0.127544	+	0.158038i
$790$	20.4628	+	14.8671i	0.728033	+	0.528947i
$791$	44.8249			1.59379
$792$	44.5774	−	24.0747i	1.58399	−	0.855458i
$793$	2.82132			0.100188
$794$	11.9119	+	8.65451i	0.422738	+	0.307137i
$795$	−5.99768	+	7.43163i	−0.212716	+	0.263573i
$796$	−12.0937	−	37.2205i	−0.428649	−	1.31925i
$797$	22.3361	+	30.7430i	0.791184	+	1.08897i	0.993960	+	0.109746i	$0.0350038\pi$
$797$	22.3361	+	30.7430i	0.791184	+	1.08897i	−0.202776	+	0.979225i	$0.564996\pi$
$798$	15.7808	−	4.25648i	0.558636	−	0.150678i
$799$	0.187251	−	0.0608414i	0.00662445	−	0.00215241i
$800$	0.207992	−	0.640135i	0.00735364	−	0.0226322i
$801$	−34.2188	+	7.39191i	−1.20906	+	0.261180i
$802$		−	63.3906i		−	2.23840i
$803$	10.5276	−	13.5634i	0.371509	−	0.478641i
$804$	−64.0102	−	24.4497i	−2.25747	−	0.862275i
$805$	−8.27183	+	11.3852i	−0.291544	+	0.401275i
$806$	7.89166	+	2.56416i	0.277972	+	0.0903186i
$807$	15.4917	+	0.786171i	0.545332	+	0.0276745i
$808$	−46.4155	+	33.7228i	−1.63289	+	1.18636i
$809$	−22.0554	+	16.0242i	−0.775426	+	0.563380i	−0.903603	−	0.428371i	$-0.859088\pi$
$809$	−22.0554	+	16.0242i	−0.775426	+	0.563380i	0.128177	+	0.991751i	$0.459088\pi$
$810$	9.15063	+	20.1918i	0.321520	+	0.709467i
$811$	−25.8219	−	8.39003i	−0.906728	−	0.294614i	−0.181717	−	0.983351i	$-0.558166\pi$
$811$	−25.8219	−	8.39003i	−0.906728	−	0.294614i	−0.725011	+	0.688737i	$0.758166\pi$
$812$	70.6004	−	97.1732i	2.47759	−	3.41011i
$813$	−3.37784	+	8.84330i	−0.118466	+	0.310148i
$814$	7.75836	+	26.7353i	0.271931	+	0.937072i
$815$			14.6507i			0.513192i
$816$	0.137740	+	0.211335i	0.00482187	+	0.00739820i
$817$	1.08088	−	3.32660i	0.0378152	−	0.116383i
$818$	−34.6671	+	11.2640i	−1.21211	+	0.393837i
$819$	−8.64225	−	0.879419i	−0.301985	−	0.0307294i
$820$	−5.43720	−	7.48367i	−0.189875	−	0.261341i
$821$	5.39901	+	16.6165i	0.188427	+	0.579918i	0.999991	−	0.00434561i	$-0.00138325\pi$
$821$	5.39901	+	16.6165i	0.188427	+	0.579918i	−0.811564	+	0.584264i	$0.801383\pi$
$822$	42.3435	+	34.1732i	1.47690	+	1.19193i
$823$	29.2160	+	21.2267i	1.01841	+	0.739915i	0.965956	−	0.258708i	$-0.0832968\pi$
$823$	29.2160	+	21.2267i	1.01841	+	0.739915i	0.0524506	+	0.998624i	$0.483297\pi$
$824$	41.3380			1.44008
$825$	5.29869	+	2.21898i	0.184477	+	0.0772549i
$826$	−48.5226			−1.68832
$827$	5.20327	+	3.78039i	0.180935	+	0.131457i	0.674566	−	0.738214i	$-0.264331\pi$
$827$	5.20327	+	3.78039i	0.180935	+	0.131457i	−0.493631	+	0.869671i	$0.664331\pi$
$828$	16.7306	+	28.7579i	0.581427	+	0.999405i
$829$	4.88819	+	15.0443i	0.169774	+	0.522510i	0.999356	−	0.0358743i	$-0.0114216\pi$
$829$	4.88819	+	15.0443i	0.169774	+	0.522510i	−0.829583	+	0.558384i	$0.811422\pi$
$830$	16.4688	+	22.6674i	0.571642	+	0.786798i
$831$	−10.9550	−	40.6154i	−0.380023	−	1.40893i
$832$	−3.81911	+	1.24091i	−0.132404	+	0.0430207i
$833$	0.200506	−	0.617095i	0.00694713	−	0.0213811i
$834$	42.4706	−	27.6808i	1.47064	−	0.958507i
$835$			20.8172i			0.720410i
$836$	−5.62575	−	8.28355i	−0.194571	−	0.286492i
$837$	14.3021	+	27.7282i	0.494354	+	0.958427i
$838$	28.6474	−	39.4297i	0.989608	−	1.36208i
$839$	−15.5016	−	5.03678i	−0.535175	−	0.173889i	0.0289458	−	0.999581i	$-0.490785\pi$
$839$	−15.5016	−	5.03678i	−0.535175	−	0.173889i	−0.564121	+	0.825692i	$0.690785\pi$
$840$	−2.30692	+	45.4584i	−0.0795964	+	1.56846i
$841$	−3.02777	+	2.19981i	−0.104406	+	0.0758554i
$842$	31.5242	−	22.9036i	1.08639	−	0.789312i
$843$	0.875885	−	17.2595i	0.0301671	−	0.594448i
$844$	−8.06456	−	2.62033i	−0.277594	−	0.0901956i
$845$	7.45619	−	10.2626i	0.256501	−	0.353043i
$846$	29.3534	−	32.8181i	1.00919	−	1.12831i
$847$	−3.59976	+	56.6574i	−0.123689	+	1.94677i
$848$			24.3022i			0.834540i
$849$	30.7426	−	20.0369i	1.05508	−	0.687665i
$850$	−0.0251511	+	0.0774072i	−0.000862677	+	0.00265505i
$851$	−8.83696	+	2.87130i	−0.302927	+	0.0984270i
$852$	−7.09956	−	26.3216i	−0.243227	−	0.901762i
$853$	−0.0358499	−	0.0493431i	−0.00122748	−	0.00168948i	0.808403	−	0.588630i	$-0.200332\pi$
$853$	−0.0358499	−	0.0493431i	−0.00122748	−	0.00168948i	−0.809630	+	0.586940i	$0.800332\pi$
$854$	19.7543	+	60.7976i	0.675980	+	2.08045i
$855$	1.92489	−	1.11985i	0.0658298	−	0.0382980i
$856$	1.69443	+	1.23108i	0.0579145	+	0.0420774i
$857$	20.1296			0.687612			0.343806	−	0.939041i	$-0.388284\pi$
$857$	20.1296			0.687612			0.343806	+	0.939041i	$0.388284\pi$
$858$	1.82323	+	7.72659i	0.0622441	+	0.263781i
$859$	−22.1360			−0.755271			−0.377636	−	0.925954i	$-0.623263\pi$
$859$	−22.1360			−0.755271			−0.377636	+	0.925954i	$0.623263\pi$
$860$	15.5046	+	11.2647i	0.528701	+	0.384124i
$861$	15.8214	+	12.7686i	0.539193	+	0.435154i
$862$	−25.8494	−	79.5563i	−0.880434	−	2.70970i
$863$	10.5697	+	14.5479i	0.359796	+	0.495216i	0.950092	−	0.311971i	$-0.100989\pi$
$863$	10.5697	+	14.5479i	0.359796	+	0.495216i	−0.590296	+	0.807187i	$0.700989\pi$
$864$	3.12406	+	1.57230i	0.106283	+	0.0534907i
$865$	−14.6715	+	4.76707i	−0.498847	+	0.162085i
$866$	−18.8175	+	57.9144i	−0.639445	+	1.96801i
$867$	16.0766	+	24.6664i	0.545991	+	0.837714i
$868$			126.037i			4.27797i
$869$	−1.08029	+	34.0401i	−0.0366463	+	1.15473i
$870$	8.71088	−	22.8054i	0.295327	−	0.773175i
$871$	3.20767	−	4.41498i	0.108688	−	0.149596i
$872$	4.23612	+	1.37640i	0.143453	+	0.0466107i
$873$	0.914505	−	2.07245i	0.0309513	−	0.0701418i
$874$	4.03350	−	2.93051i	0.136435	−	0.0991260i
$875$	−4.17538	+	3.03359i	−0.141154	+	0.102554i
$876$	36.4217	+	1.84833i	1.23057	+	0.0624492i
$877$	−23.6851	−	7.69574i	−0.799788	−	0.259867i	−0.119521	−	0.992832i	$-0.538136\pi$
$877$	−23.6851	−	7.69574i	−0.799788	−	0.259867i	−0.680266	+	0.732965i	$0.738136\pi$
$878$	−52.6798	+	72.5075i	−1.77786	+	2.44701i
$879$	14.9673	+	5.71701i	0.504836	+	0.192830i
$880$	14.0393	−	4.07408i	0.473264	−	0.137337i
$881$			36.3157i			1.22351i	0.791048	+	0.611754i	$0.209536\pi$
$881$			36.3157i			1.22351i	−0.791048	+	0.611754i	$0.790464\pi$
$882$	−30.6385	−	141.832i	−1.03165	−	4.77574i
$883$	3.54255	−	10.9028i	0.119216	−	0.366910i	−0.873587	−	0.486668i	$-0.838212\pi$
$883$	3.54255	−	10.9028i	0.119216	−	0.366910i	0.992803	+	0.119759i	$0.0382121\pi$
$884$	−0.0717110	+	0.0233003i	−0.00241190	+	0.000783674i
$885$	−6.38298	+	1.72164i	−0.214561	+	0.0578724i
$886$	11.2983	+	15.5508i	0.379575	+	0.522440i
$887$	−9.31889	−	28.6806i	−0.312898	−	0.963000i	−0.976611	−	0.215013i	$-0.931021\pi$
$887$	−9.31889	−	28.6806i	−0.312898	−	0.963000i	0.663713	−	0.747987i	$-0.268979\pi$
$888$	−18.8742	+	23.3867i	−0.633377	+	0.784808i
$889$	11.0628	+	8.03757i	0.371033	+	0.269571i
$890$	−28.7436			−0.963487
$891$	−15.5690	+	25.4678i	−0.521581	+	0.853202i
$892$	5.79421			0.194004
$893$	−3.57833	−	2.59981i	−0.119744	−	0.0869992i
$894$	46.0215	−	57.0246i	1.53919	−	1.90719i
$895$	−4.51856	−	13.9067i	−0.151039	−	0.464850i
$896$	−57.5652	−	79.2317i	−1.92312	−	2.64694i
$897$	−2.55834	+	0.690047i	−0.0854206	+	0.0230400i
$898$	57.7905	−	18.7773i	1.92849	−	0.626606i
$899$	10.6170	−	32.6759i	0.354098	−	1.08980i
$900$	2.57634	+	11.9265i	0.0858782	+	0.397549i
$901$		−	0.182189i		−	0.00606959i
$902$	6.29926	−	17.4799i	0.209742	−	0.582017i
$903$	−39.3490	−	15.0300i	−1.30945	−	0.500167i
$904$	25.9940	−	35.7776i	0.864547	−	1.18995i
$905$	−6.04356	−	1.96367i	−0.200895	−	0.0652747i
$906$	−10.9764	−	0.557033i	−0.364668	−	0.0185062i
$907$	21.3970	−	15.5458i	0.710475	−	0.516190i	−0.172852	−	0.984948i	$-0.555298\pi$
$907$	21.3970	−	15.5458i	0.710475	−	0.516190i	0.883327	+	0.468757i	$0.155298\pi$
$908$	35.7381	−	25.9652i	1.18601	−	0.861686i
$909$	13.6465	−	30.9258i	0.452627	−	1.02574i
$910$	−6.78332	−	2.20403i	−0.224865	−	0.0730630i
$911$	23.4121	−	32.2240i	0.775678	−	1.06763i	−0.220068	−	0.975485i	$-0.570628\pi$
$911$	23.4121	−	32.2240i	0.775678	−	1.06763i	0.995746	−	0.0921441i	$-0.0293720\pi$
$912$	2.02211	−	5.29395i	0.0669587	−	0.175300i
$913$	−12.7904	+	35.4922i	−0.423300	+	1.17462i
$914$		−	54.4696i		−	1.80169i
$915$	4.75579	+	7.29680i	0.157221	+	0.241225i
$916$	25.3021	−	77.8719i	0.836005	−	2.57296i
$917$	81.7318	−	26.5563i	2.69902	−	0.876965i
$918$	−0.377772	−	0.190128i	−0.0124683	−	0.00627514i
$919$	19.8537	+	27.3262i	0.654913	+	0.901410i	0.999300	−	0.0374179i	$-0.0119133\pi$
$919$	19.8537	+	27.3262i	0.654913	+	0.901410i	−0.344387	+	0.938828i	$0.611913\pi$
$920$	4.29042	+	13.2046i	0.141451	+	0.435341i
$921$	5.27556	+	4.25763i	0.173836	+	0.140294i
$922$	60.5312	+	43.9785i	1.99349	+	1.44836i
$923$	2.17125			0.0714677
$924$	−103.059	+	62.6045i	−3.39039	+	2.05954i
$925$	−3.40763			−0.112042
$926$	8.16793	+	5.93435i	0.268415	+	0.195015i
$927$	−21.0521	+	12.2475i	−0.691441	+	0.402262i
$928$	−1.19016	−	3.66292i	−0.0390688	−	0.120241i
$929$	−26.8431	−	36.9463i	−0.880693	−	1.21217i	−0.976228	−	0.216744i	$-0.930456\pi$
$929$	−26.8431	−	36.9463i	−0.880693	−	1.21217i	0.0955351	−	0.995426i	$-0.469544\pi$
$930$	6.67098	+	24.7326i	0.218750	+	0.811014i
$931$	−13.8630	+	4.50436i	−0.454342	+	0.147625i
$932$	−17.7204	+	54.5379i	−0.580452	+	1.78645i
$933$	40.6215	−	26.4756i	1.32989	−	0.866774i
$934$		−	54.9608i		−	1.79837i
$935$	−0.105250	+	0.0305426i	−0.00344203	+	0.000998849i
$936$	−5.71356	+	6.38796i	−0.186754	+	0.208797i
$937$	−2.56551	+	3.53112i	−0.0838115	+	0.115357i	−0.848864	−	0.528611i	$-0.822713\pi$
$937$	−2.56551	+	3.53112i	−0.0838115	+	0.115357i	0.765053	+	0.643968i	$0.222713\pi$
$938$	117.600	+	38.2104i	3.83976	+	1.24762i
$939$	−0.448479	+	8.83736i	−0.0146356	+	0.288396i
$940$	19.6059	−	14.2445i	0.639474	−	0.464605i
$941$	−13.1383	+	9.54556i	−0.428298	+	0.311176i	−0.780968	−	0.624571i	$-0.785274\pi$
$941$	−13.1383	+	9.54556i	−0.428298	+	0.311176i	0.352670	+	0.935748i	$0.385274\pi$
$942$	−4.14829	+	81.7429i	−0.135159	+	2.66333i
$943$	5.89812	+	1.91641i	0.192069	+	0.0624070i
$944$	−9.88863	+	13.6105i	−0.321847	+	0.442985i
$945$	−12.2935	−	23.8339i	−0.399906	−	0.775318i
$946$	−1.22104	+	38.4751i	−0.0396993	+	1.25093i
$947$		−	33.3294i		−	1.08306i	−0.840682	−	0.541529i	$-0.817845\pi$
$947$		−	33.3294i		−	1.08306i	0.840682	−	0.541529i	$-0.182155\pi$
$948$	−60.6026	+	39.4986i	−1.96828	+	1.28285i
$949$	−0.897532	+	2.76232i	−0.0291351	+	0.0896686i
$950$	1.73895	−	0.565019i	0.0564190	−	0.0183316i
$951$	11.7210	+	43.4554i	0.380079	+	1.40914i
$952$	−0.510402	−	0.702508i	−0.0165422	−	0.0227684i
$953$	−18.0677	−	55.6068i	−0.585272	−	1.80128i	−0.598176	−	0.801365i	$-0.704108\pi$
$953$	−18.0677	−	55.6068i	−0.585272	−	1.80128i	0.0129045	−	0.999917i	$-0.495892\pi$
$954$	−20.4883	−	35.2170i	−0.663333	−	1.14019i
$955$	−2.97707	−	2.16297i	−0.0963358	−	0.0699920i
$956$	9.43983			0.305306
$957$	31.9924	−	7.54920i	1.03417	−	0.244031i
$958$	−2.69171			−0.0869652
$959$	−53.2531	−	38.6906i	−1.71963	−	1.24939i
$960$	−9.64710	−	7.78567i	−0.311359	−	0.251281i
$961$	1.56116	+	4.80476i	0.0503601	+	0.154992i
$962$	−2.76801	−	3.80984i	−0.0892444	−	0.122834i
$963$	−1.22766	−	0.124924i	−0.0395608	−	0.00402563i
$964$	−65.7200	+	21.3537i	−2.11670	+	0.687758i
$965$	0.254682	−	0.783831i	0.00819851	−	0.0252324i
$966$	−32.7832	−	50.2992i	−1.05478	−	1.61835i
$967$		−	57.9179i		−	1.86251i	−0.364364	−	0.931257i	$-0.618714\pi$
$967$		−	57.9179i		−	1.86251i	0.364364	−	0.931257i	$-0.381286\pi$
$968$	43.1344	+	35.7288i	1.38639	+	1.14837i
$969$	−0.0151594	+	0.0396877i	−0.000486989	+	0.00127495i
$970$	1.09322	−	1.50469i	0.0351012	−	0.0483126i
$971$	−38.8778	−	12.6322i	−1.24765	−	0.405386i	−0.390571	−	0.920573i	$-0.627722\pi$
$971$	−38.8778	−	12.6322i	−1.24765	−	0.405386i	−0.857078	+	0.515187i	$0.827722\pi$
$972$	−63.2846	+	3.84207i	−2.02986	+	0.123234i
$973$	−49.6143	+	36.0469i	−1.59056	+	1.15561i
$974$	8.35141	−	6.06765i	0.267596	−	0.194420i
$975$	−0.970523	−	0.0492522i	−0.0310816	−	0.00157733i
$976$	21.0794	+	6.84913i	0.674737	+	0.219235i
$977$	−5.74633	+	7.90914i	−0.183841	+	0.253036i	−0.890984	−	0.454035i	$-0.849984\pi$
$977$	−5.74633	+	7.90914i	−0.183841	+	0.253036i	0.707142	+	0.707071i	$0.249984\pi$
$978$	−58.3902	−	22.3031i	−1.86711	−	0.713174i
$979$	−21.7444	−	32.0171i	−0.694952	−	1.02327i
$980$		−	79.8653i		−	2.55120i
$981$	−2.56511	+	0.554113i	−0.0818977	+	0.0176915i
$982$	−32.2646	+	99.3003i	−1.02961	+	3.16880i
$983$	10.4885	−	3.40791i	0.334530	−	0.108695i	−0.136935	−	0.990580i	$-0.543725\pi$
$983$	10.4885	−	3.40791i	0.334530	−	0.108695i	0.471465	+	0.881885i	$0.343725\pi$
$984$	19.3663	−	5.22357i	0.617376	−	0.166521i
$985$	7.78112	+	10.7098i	0.247927	+	0.341242i
$986$	0.143918	+	0.442933i	0.00458327	+	0.0141058i
$987$	−33.4516	+	41.4494i	−1.06478	+	1.31935i
$988$	1.37038	+	0.995642i	0.0435977	+	0.0316756i
$989$	−12.8485			−0.408558
$990$	−16.9100	+	17.7399i	−0.537435	+	0.563810i
$991$	25.5993			0.813189			0.406595	−	0.913609i	$-0.366716\pi$
$991$	25.5993			0.813189			0.406595	+	0.913609i	$0.366716\pi$
$992$	3.26955	+	2.37547i	0.103808	+	0.0754211i
$993$	38.7726	−	48.0426i	1.23041	−	1.52459i
$994$	15.2027	+	46.7892i	0.482201	+	1.48406i
$995$	5.65589	+	7.78466i	0.179304	+	0.246790i
$996$	−77.3670	+	20.8678i	−2.45147	+	0.661220i
$997$	−16.6357	+	5.40525i	−0.526857	+	0.171186i	−0.560355	−	0.828253i	$-0.689335\pi$
$997$	−16.6357	+	5.40525i	−0.526857	+	0.171186i	0.0334981	+	0.999439i	$0.489335\pi$
$998$	−1.53981	+	4.73906i	−0.0487420	+	0.150012i
$999$	2.68303	−	17.5021i	0.0848875	−	0.553742i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	165.2.p.a.161.4	yes	16
3.2	odd	2	inner	165.2.p.a.161.1	yes	16
5.2	odd	4		825.2.bs.f.524.1		16
5.3	odd	4		825.2.bs.e.524.4		16
5.4	even	2		825.2.bi.d.326.1		16
11.8	odd	10	inner	165.2.p.a.41.1	✓	16
15.2	even	4		825.2.bs.e.524.3		16
15.8	even	4		825.2.bs.f.524.2		16
15.14	odd	2		825.2.bi.d.326.4		16
33.8	even	10	inner	165.2.p.a.41.4	yes	16
55.8	even	20		825.2.bs.e.74.3		16
55.19	odd	10		825.2.bi.d.701.4		16
55.52	even	20		825.2.bs.f.74.2		16
165.8	odd	20		825.2.bs.f.74.1		16
165.74	even	10		825.2.bi.d.701.1		16
165.107	odd	20		825.2.bs.e.74.4		16

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
165.2.p.a.41.1	✓	16	11.8	odd	10	inner
165.2.p.a.41.4	yes	16	33.8	even	10	inner
165.2.p.a.161.1	yes	16	3.2	odd	2	inner
165.2.p.a.161.4	yes	16	1.1	even	1	trivial
825.2.bi.d.326.1		16	5.4	even	2
825.2.bi.d.326.4		16	15.14	odd	2
825.2.bi.d.701.1		16	165.74	even	10
825.2.bi.d.701.4		16	55.19	odd	10
825.2.bs.e.74.3		16	55.8	even	20
825.2.bs.e.74.4		16	165.107	odd	20
825.2.bs.e.524.3		16	15.2	even	4
825.2.bs.e.524.4		16	5.3	odd	4
825.2.bs.f.74.1		16	165.8	odd	20
825.2.bs.f.74.2		16	55.52	even	20
825.2.bs.f.524.1		16	5.2	odd	4
825.2.bs.f.524.2		16	15.8	even	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:	\( N \)	\(=\)	\( 165 = 3 \cdot 5 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	165.p (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(1.99274 + 1.44781i) q^{2} +(1.08779 - 1.34786i) q^{3} +(1.25683 + 3.86812i) q^{4} +(-0.587785 - 0.809017i) q^{5} +(4.11912 - 1.11103i) q^{6} +(-4.90846 + 1.59485i) q^{7} +(-1.57346 + 4.84261i) q^{8} +(-0.633446 - 2.93236i) q^{9} +O(q^{10})\)	\(q+(1.99274 + 1.44781i) q^{2} +(1.08779 - 1.34786i) q^{3} +(1.25683 + 3.86812i) q^{4} +(-0.587785 - 0.809017i) q^{5} +(4.11912 - 1.11103i) q^{6} +(-4.90846 + 1.59485i) q^{7} +(-1.57346 + 4.84261i) q^{8} +(-0.633446 - 2.93236i) q^{9} -2.46317i q^{10} +(2.74369 - 1.86337i) q^{11} +(6.58084 + 2.51366i) q^{12} +(-0.329779 + 0.453901i) q^{13} +(-12.0903 - 3.92839i) q^{14} +(-1.72982 - 0.0877853i) q^{15} +(-3.56585 + 2.59074i) q^{16} +(0.0267325 - 0.0194223i) q^{17} +(2.98321 - 6.76056i) q^{18} +(-0.705981 - 0.229387i) q^{19} +(2.39063 - 3.29042i) q^{20} +(-3.18971 + 8.35076i) q^{21} +(8.16529 + 0.259132i) q^{22} +2.72674i q^{23} +(4.81557 + 7.38852i) q^{24} +(-0.309017 + 0.951057i) q^{25} +(-1.31433 + 0.427051i) q^{26} +(-4.64146 - 2.33598i) q^{27} +(-12.3382 - 16.9821i) q^{28} +(1.76823 + 5.44205i) q^{29} +(-3.32000 - 2.67940i) q^{30} +(-4.85761 - 3.52926i) q^{31} -0.673078 q^{32} +(0.472986 - 5.72506i) q^{33} +0.0813908 q^{34} +(4.17538 + 3.03359i) q^{35} +(10.5466 - 6.13573i) q^{36} +(1.05302 + 3.24085i) q^{37} +(-1.07473 - 1.47924i) q^{38} +(0.253067 + 0.938242i) q^{39} +(4.84261 - 1.57346i) q^{40} +(0.702822 - 2.16306i) q^{41} +(-18.4466 + 12.0228i) q^{42} +4.71203i q^{43} +(10.6561 + 8.27100i) q^{44} +(-2.00000 + 2.23607i) q^{45} +(-3.94781 + 5.43370i) q^{46} +(5.66685 + 1.84127i) q^{47} +(-0.386925 + 7.62443i) q^{48} +(15.8863 - 11.5420i) q^{49} +(-1.99274 + 1.44781i) q^{50} +(0.00290070 - 0.0571589i) q^{51} +(-2.17022 - 0.705148i) q^{52} +(3.24085 - 4.46064i) q^{53} +(-5.86718 - 11.3750i) q^{54} +(-3.12020 - 1.12443i) q^{55} -26.2792i q^{56} +(-1.07714 + 0.702039i) q^{57} +(-4.35544 + 13.4047i) q^{58} +(3.63010 - 1.17949i) q^{59} +(-1.83453 - 6.80151i) q^{60} +(-2.95574 - 4.06823i) q^{61} +(-4.57026 - 14.0658i) q^{62} +(7.78593 + 13.3831i) q^{63} +(5.79042 + 4.20699i) q^{64} +0.561053 q^{65} +(9.23135 - 10.7238i) q^{66} -9.72674 q^{67} +(0.108726 + 0.0789940i) q^{68} +(3.67526 + 2.96611i) q^{69} +(3.92839 + 12.0903i) q^{70} +(-2.27471 - 3.13087i) q^{71} +(15.1970 + 1.54642i) q^{72} +(4.92345 - 1.59973i) q^{73} +(-2.59375 + 7.98274i) q^{74} +(0.945746 + 1.45106i) q^{75} -3.01912i q^{76} +(-10.4955 + 13.5221i) q^{77} +(-0.854102 + 2.23607i) q^{78} +(-6.03576 + 8.30751i) q^{79} +(4.19190 + 1.36203i) q^{80} +(-8.19749 + 3.71499i) q^{81} +(4.53225 - 3.29288i) q^{82} +(-9.20255 + 6.68605i) q^{83} +(-36.3107 - 1.84270i) q^{84} +(-0.0314259 - 0.0102109i) q^{85} +(-6.82213 + 9.38986i) q^{86} +(9.25857 + 3.53646i) q^{87} +(4.70649 + 16.2186i) q^{88} -11.6694i q^{89} +(-7.22289 + 1.56028i) q^{90} +(0.894797 - 2.75390i) q^{91} +(-10.5474 + 3.42705i) q^{92} +(-10.0410 + 2.70829i) q^{93} +(8.62676 + 11.8737i) q^{94} +(0.229387 + 0.705981i) q^{95} +(-0.732164 + 0.907214i) q^{96} +(0.610876 + 0.443827i) q^{97} +48.3680 q^{98} +(-7.20206 - 6.86515i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 16 q + 8 q^{3} - 12 q^{4} + 10 q^{6} - 10 q^{7} - 20 q^{9}+O(q^{10}) \) 16 * q + 8 * q^3 - 12 * q^4 + 10 * q^6 - 10 * q^7 - 20 * q^9	\( 16 q + 8 q^{3} - 12 q^{4} + 10 q^{6} - 10 q^{7} - 20 q^{9} + 4 q^{12} - 12 q^{15} - 16 q^{16} + 20 q^{18} + 40 q^{19} + 30 q^{22} - 70 q^{24} + 4 q^{25} - 4 q^{27} - 110 q^{28} - 10 q^{30} + 10 q^{31} + 12 q^{33} + 100 q^{34} + 40 q^{36} - 2 q^{37} - 10 q^{39} + 50 q^{40} - 10 q^{42} - 32 q^{45} - 40 q^{46} + 22 q^{48} + 42 q^{49} - 40 q^{52} + 6 q^{55} + 40 q^{57} - 20 q^{58} + 14 q^{60} - 50 q^{61} + 70 q^{63} + 42 q^{64} + 30 q^{66} - 108 q^{67} - 12 q^{69} + 40 q^{70} - 40 q^{72} - 50 q^{73} + 12 q^{75} + 40 q^{78} - 40 q^{79} - 4 q^{81} + 50 q^{82} - 150 q^{84} - 20 q^{85} + 70 q^{88} - 20 q^{90} + 10 q^{91} - 50 q^{94} + 40 q^{96} - 58 q^{97} + 12 q^{99}+O(q^{100}) \) 16 * q + 8 * q^3 - 12 * q^4 + 10 * q^6 - 10 * q^7 - 20 * q^9 + 4 * q^12 - 12 * q^15 - 16 * q^16 + 20 * q^18 + 40 * q^19 + 30 * q^22 - 70 * q^24 + 4 * q^25 - 4 * q^27 - 110 * q^28 - 10 * q^30 + 10 * q^31 + 12 * q^33 + 100 * q^34 + 40 * q^36 - 2 * q^37 - 10 * q^39 + 50 * q^40 - 10 * q^42 - 32 * q^45 - 40 * q^46 + 22 * q^48 + 42 * q^49 - 40 * q^52 + 6 * q^55 + 40 * q^57 - 20 * q^58 + 14 * q^60 - 50 * q^61 + 70 * q^63 + 42 * q^64 + 30 * q^66 - 108 * q^67 - 12 * q^69 + 40 * q^70 - 40 * q^72 - 50 * q^73 + 12 * q^75 + 40 * q^78 - 40 * q^79 - 4 * q^81 + 50 * q^82 - 150 * q^84 - 20 * q^85 + 70 * q^88 - 20 * q^90 + 10 * q^91 - 50 * q^94 + 40 * q^96 - 58 * q^97 + 12 * q^99

Introduction

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