LMFDB - Embedded newform 150.2.l.a.23.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [150,2,Mod(17,150)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(150, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([10, 13]))

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

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

chi := DirichletCharacter("150.17");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 150 = 2 \cdot 3 \cdot 5^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	150.l (of order $20$, degree $8$, 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:	$1.19775603032$
Analytic rank:	$0$
Dimension:	$80$
Relative dimension:	$10$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			23.8
Character	$\chi$	$=$	150.23
Dual form			150.2.l.a.137.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.987688 + 0.156434i) q^{2} +(0.0565979 + 1.73113i) q^{3} +(0.951057 + 0.309017i) q^{4} +(1.48885 - 1.66833i) q^{5} +(-0.214907 + 1.71867i) q^{6} +(-1.08662 + 1.08662i) q^{7} +(0.891007 + 0.453990i) q^{8} +(-2.99359 + 0.195956i) q^{9} +O(q^{10})$	\(q+(0.987688 + 0.156434i) q^{2} +(0.0565979 + 1.73113i) q^{3} +(0.951057 + 0.309017i) q^{4} +(1.48885 - 1.66833i) q^{5} +(-0.214907 + 1.71867i) q^{6} +(-1.08662 + 1.08662i) q^{7} +(0.891007 + 0.453990i) q^{8} +(-2.99359 + 0.195956i) q^{9} +(1.73150 - 1.41488i) q^{10} +(-1.61222 - 2.21903i) q^{11} +(-0.481119 + 1.66389i) q^{12} +(0.355240 + 2.24289i) q^{13} +(-1.24323 + 0.903260i) q^{14} +(2.97236 + 2.48296i) q^{15} +(0.809017 + 0.587785i) q^{16} +(2.77486 - 5.44598i) q^{17} +(-2.98739 - 0.274758i) q^{18} +(-4.05302 + 1.31690i) q^{19} +(1.93152 - 1.12660i) q^{20} +(-1.94258 - 1.81958i) q^{21} +(-1.24524 - 2.44391i) q^{22} +(-0.805034 + 5.08279i) q^{23} +(-0.735486 + 1.56814i) q^{24} +(-0.566658 - 4.96779i) q^{25} +2.27085i q^{26} +(-0.508656 - 5.17120i) q^{27} +(-1.36922 + 0.697655i) q^{28} +(2.37081 - 7.29662i) q^{29} +(2.54734 + 2.91737i) q^{30} +(-1.85692 - 5.71500i) q^{31} +(0.707107 + 0.707107i) q^{32} +(3.75017 - 2.91654i) q^{33} +(3.59264 - 4.94484i) q^{34} +(0.195030 + 3.43066i) q^{35} +(-2.90763 - 0.738706i) q^{36} +(-3.29028 + 0.521129i) q^{37} +(-4.20913 + 0.666660i) q^{38} +(-3.86263 + 0.741908i) q^{39} +(2.08398 - 0.810571i) q^{40} +(-5.36418 + 7.38316i) q^{41} +(-1.63402 - 2.10107i) q^{42} +(6.65663 + 6.65663i) q^{43} +(-0.847593 - 2.60862i) q^{44} +(-4.13009 + 5.28605i) q^{45} +(-1.59025 + 4.89427i) q^{46} +(2.15191 - 1.09645i) q^{47} +(-0.971742 + 1.43378i) q^{48} +4.63850i q^{49} +(0.217452 - 4.99527i) q^{50} +(9.58472 + 4.49541i) q^{51} +(-0.355240 + 2.24289i) q^{52} +(0.199432 + 0.391408i) q^{53} +(0.306560 - 5.18710i) q^{54} +(-6.10242 - 0.614083i) q^{55} +(-1.46150 + 0.474872i) q^{56} +(-2.50912 - 6.94175i) q^{57} +(3.48307 - 6.83591i) q^{58} +(5.86967 + 4.26457i) q^{59} +(2.05960 + 3.27994i) q^{60} +(-8.14808 + 5.91993i) q^{61} +(-0.940031 - 5.93512i) q^{62} +(3.03998 - 3.46584i) q^{63} +(0.587785 + 0.809017i) q^{64} +(4.27079 + 2.74667i) q^{65} +(4.16024 - 2.29398i) q^{66} +(5.28646 + 2.69358i) q^{67} +(4.32195 - 4.32195i) q^{68} +(-8.84451 - 1.10594i) q^{69} +(-0.344046 + 3.41894i) q^{70} +(-5.89152 - 1.91427i) q^{71} +(-2.75627 - 1.18446i) q^{72} +(10.2696 + 1.62655i) q^{73} -3.33129 q^{74} +(8.56779 - 1.26212i) q^{75} -4.26159 q^{76} +(4.16312 + 0.659373i) q^{77} +(-3.93113 + 0.128525i) q^{78} +(6.06800 + 1.97161i) q^{79} +(2.18512 - 0.474585i) q^{80} +(8.92320 - 1.17323i) q^{81} +(-6.45312 + 6.45312i) q^{82} +(-6.92579 - 3.52887i) q^{83} +(-1.28522 - 2.33081i) q^{84} +(-4.95434 - 12.7376i) q^{85} +(5.53335 + 7.61600i) q^{86} +(12.7655 + 3.69121i) q^{87} +(-0.429079 - 2.70910i) q^{88} +(-8.12567 + 5.90364i) q^{89} +(-4.90616 + 4.57489i) q^{90} +(-2.82319 - 2.05117i) q^{91} +(-2.33630 + 4.58525i) q^{92} +(9.78829 - 3.53801i) q^{93} +(2.29694 - 0.746320i) q^{94} +(-3.83730 + 8.72245i) q^{95} +(-1.18407 + 1.26411i) q^{96} +(5.51066 + 10.8153i) q^{97} +(-0.725621 + 4.58139i) q^{98} +(5.26115 + 6.32694i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 80 q + 4 q^{3} + 4 q^{7}+O(q^{10}) $ 80 * q + 4 * q^3 + 4 * q^7	$ 80 q + 4 q^{3} + 4 q^{7} - 4 q^{10} - 4 q^{12} - 8 q^{15} + 20 q^{16} - 8 q^{18} - 40 q^{19} - 36 q^{22} - 104 q^{25} + 4 q^{27} - 16 q^{28} + 12 q^{30} + 4 q^{33} - 40 q^{34} - 24 q^{37} - 40 q^{39} - 8 q^{40} - 4 q^{42} - 24 q^{43} - 72 q^{45} - 4 q^{48} - 12 q^{55} - 64 q^{57} + 20 q^{58} + 24 q^{60} + 64 q^{63} + 96 q^{67} + 140 q^{69} + 76 q^{70} + 8 q^{72} + 100 q^{73} + 132 q^{75} + 100 q^{78} + 80 q^{79} - 40 q^{81} + 96 q^{82} + 60 q^{84} + 32 q^{85} + 80 q^{87} + 4 q^{88} + 52 q^{90} + 12 q^{93} - 32 q^{97}+O(q^{100}) $ 80 * q + 4 * q^3 + 4 * q^7 - 4 * q^10 - 4 * q^12 - 8 * q^15 + 20 * q^16 - 8 * q^18 - 40 * q^19 - 36 * q^22 - 104 * q^25 + 4 * q^27 - 16 * q^28 + 12 * q^30 + 4 * q^33 - 40 * q^34 - 24 * q^37 - 40 * q^39 - 8 * q^40 - 4 * q^42 - 24 * q^43 - 72 * q^45 - 4 * q^48 - 12 * q^55 - 64 * q^57 + 20 * q^58 + 24 * q^60 + 64 * q^63 + 96 * q^67 + 140 * q^69 + 76 * q^70 + 8 * q^72 + 100 * q^73 + 132 * q^75 + 100 * q^78 + 80 * q^79 - 40 * q^81 + 96 * q^82 + 60 * q^84 + 32 * q^85 + 80 * q^87 + 4 * q^88 + 52 * q^90 + 12 * q^93 - 32 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/150\mathbb{Z}\right)^\times$.

$n$	$101$	$127$
$\chi(n)$	$-1$	$e\left(\frac{11}{20}\right)$

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 $

$2$	0.987688	+	0.156434i	0.698401	+	0.110616i
$2$	0.987688	+	0.156434i	0.698401	+	0.110616i
$3$	0.0565979	+	1.73113i	0.0326768	+	0.999466i
$3$	0.0565979	+	1.73113i	0.0326768	+	0.999466i
$4$	0.951057	+	0.309017i	0.475528	+	0.154508i
$5$	1.48885	−	1.66833i	0.665833	−	0.746100i
$5$	1.48885	−	1.66833i	0.665833	−	0.746100i
$6$	−0.214907	+	1.71867i	−0.0877353	+	0.701643i
$7$	−1.08662	+	1.08662i	−0.410705	+	0.410705i	−0.881984	−	0.471279i	$-0.843792\pi$
$7$	−1.08662	+	1.08662i	−0.410705	+	0.410705i	0.471279	+	0.881984i	$0.343792\pi$
$8$	0.891007	+	0.453990i	0.315018	+	0.160510i
$9$	−2.99359	+	0.195956i	−0.997864	+	0.0653187i
$10$	1.73150	−	1.41488i	0.547549	−	0.447426i
$11$	−1.61222	−	2.21903i	−0.486102	−	0.669062i	0.493561	−	0.869711i	$-0.335695\pi$
$11$	−1.61222	−	2.21903i	−0.486102	−	0.669062i	−0.979663	+	0.200649i	$0.935695\pi$
$12$	−0.481119	+	1.66389i	−0.138887	+	0.480323i
$13$	0.355240	+	2.24289i	0.0985257	+	0.622067i	0.986699	+	0.162558i	$0.0519745\pi$
$13$	0.355240	+	2.24289i	0.0985257	+	0.622067i	−0.888173	+	0.459509i	$0.848025\pi$
$14$	−1.24323	+	0.903260i	−0.332267	+	0.241406i
$15$	2.97236	+	2.48296i	0.767459	+	0.641098i
$16$	0.809017	+	0.587785i	0.202254	+	0.146946i
$17$	2.77486	−	5.44598i	0.673003	−	1.32084i	−0.261608	−	0.965174i	$-0.584253\pi$
$17$	2.77486	−	5.44598i	0.673003	−	1.32084i	0.934612	−	0.355669i	$-0.115747\pi$
$18$	−2.98739	−	0.274758i	−0.704135	−	0.0647610i
$19$	−4.05302	+	1.31690i	−0.929826	+	0.302119i	−0.734491	−	0.678618i	$-0.762579\pi$
$19$	−4.05302	+	1.31690i	−0.929826	+	0.302119i	−0.195334	+	0.980737i	$0.562579\pi$
$20$	1.93152	−	1.12660i	0.431901	−	0.251915i
$21$	−1.94258	−	1.81958i	−0.423906	−	0.397065i
$22$	−1.24524	−	2.44391i	−0.265485	−	0.521044i
$23$	−0.805034	+	5.08279i	−0.167861	+	1.05983i	0.749566	+	0.661930i	$0.230262\pi$
$23$	−0.805034	+	5.08279i	−0.167861	+	1.05983i	−0.917427	+	0.397904i	$0.869738\pi$
$24$	−0.735486	+	1.56814i	−0.150130	+	0.320095i
$25$	−0.566658	−	4.96779i	−0.113332	−	0.993557i
$26$			2.27085i			0.445351i
$27$	−0.508656	−	5.17120i	−0.0978909	−	0.995197i
$28$	−1.36922	+	0.697655i	−0.258759	+	0.131844i
$29$	2.37081	−	7.29662i	0.440249	−	1.35495i	−0.447361	−	0.894353i	$-0.647636\pi$
$29$	2.37081	−	7.29662i	0.440249	−	1.35495i	0.887611	−	0.460595i	$-0.152364\pi$
$30$	2.54734	+	2.91737i	0.465079	+	0.532637i
$31$	−1.85692	−	5.71500i	−0.333512	−	1.02644i	−0.967450	−	0.253061i	$-0.918563\pi$
$31$	−1.85692	−	5.71500i	−0.333512	−	1.02644i	0.633938	−	0.773383i	$-0.281437\pi$
$32$	0.707107	+	0.707107i	0.125000	+	0.125000i
$33$	3.75017	−	2.91654i	0.652820	−	0.507705i
$34$	3.59264	−	4.94484i	0.616133	−	0.848034i
$35$	0.195030	+	3.43066i	0.0329660	+	0.579888i
$36$	−2.90763	−	0.738706i	−0.484605	−	0.123118i
$37$	−3.29028	+	0.521129i	−0.540919	+	0.0856731i	−0.420915	−	0.907100i	$-0.638291\pi$
$37$	−3.29028	+	0.521129i	−0.540919	+	0.0856731i	−0.120004	+	0.992773i	$0.538291\pi$
$38$	−4.20913	+	0.666660i	−0.682810	+	0.108147i
$39$	−3.86263	+	0.741908i	−0.618515	+	0.118800i
$40$	2.08398	−	0.810571i	0.329506	−	0.128162i
$41$	−5.36418	+	7.38316i	−0.837744	+	1.15306i	0.148687	+	0.988884i	$0.452495\pi$
$41$	−5.36418	+	7.38316i	−0.837744	+	1.15306i	−0.986432	+	0.164172i	$0.947505\pi$
$42$	−1.63402	−	2.10107i	−0.252135	−	0.324201i
$43$	6.65663	+	6.65663i	1.01513	+	1.01513i	0.999884	+	0.0152431i	$0.00485222\pi$
$43$	6.65663	+	6.65663i	1.01513	+	1.01513i	0.0152431	+	0.999884i	$0.495148\pi$
$44$	−0.847593	−	2.60862i	−0.127779	−	0.393265i
$45$	−4.13009	+	5.28605i	−0.615677	+	0.787998i
$46$	−1.59025	+	4.89427i	−0.234469	+	0.721621i
$47$	2.15191	−	1.09645i	0.313888	−	0.159934i	−0.289948	−	0.957042i	$-0.593638\pi$
$47$	2.15191	−	1.09645i	0.313888	−	0.159934i	0.603836	+	0.797108i	$0.293638\pi$
$48$	−0.971742	+	1.43378i	−0.140259	+	0.206948i
$49$			4.63850i			0.662643i
$50$	0.217452	−	4.99527i	0.0307523	−	0.706438i
$51$	9.58472	+	4.49541i	1.34213	+	0.629483i
$52$	−0.355240	+	2.24289i	−0.0492629	+	0.311033i
$53$	0.199432	+	0.391408i	0.0273941	+	0.0537640i	0.904298	−	0.426902i	$-0.140395\pi$
$53$	0.199432	+	0.391408i	0.0273941	+	0.0537640i	−0.876904	+	0.480666i	$0.840395\pi$
$54$	0.306560	−	5.18710i	0.0417175	−	0.705875i
$55$	−6.10242	−	0.614083i	−0.822850	−	0.0828029i
$56$	−1.46150	+	0.474872i	−0.195302	+	0.0634574i
$57$	−2.50912	−	6.94175i	−0.332341	−	0.919457i
$58$	3.48307	−	6.83591i	0.457349	−	0.897599i
$59$	5.86967	+	4.26457i	0.764166	+	0.555199i	0.900185	−	0.435507i	$-0.143431\pi$
$59$	5.86967	+	4.26457i	0.764166	+	0.555199i	−0.136019	+	0.990706i	$0.543431\pi$
$60$	2.05960	+	3.27994i	0.265894	+	0.423439i
$61$	−8.14808	+	5.91993i	−1.04326	+	0.757969i	−0.970918	−	0.239411i	$-0.923046\pi$
$61$	−8.14808	+	5.91993i	−1.04326	+	0.757969i	−0.0723370	+	0.997380i	$0.523046\pi$
$62$	−0.940031	−	5.93512i	−0.119384	−	0.753761i
$63$	3.03998	−	3.46584i	0.383001	−	0.436655i
$64$	0.587785	+	0.809017i	0.0734732	+	0.101127i
$65$	4.27079	+	2.74667i	0.529726	+	0.340683i
$66$	4.16024	−	2.29398i	0.512090	−	0.282369i
$67$	5.28646	+	2.69358i	0.645843	+	0.329074i	0.746047	−	0.665893i	$-0.231949\pi$
$67$	5.28646	+	2.69358i	0.645843	+	0.329074i	−0.100204	+	0.994967i	$0.531949\pi$
$68$	4.32195	−	4.32195i	0.524114	−	0.524114i
$69$	−8.84451	−	1.10594i	−1.06475	−	0.133140i
$70$	−0.344046	+	3.41894i	−0.0411213	+	0.408641i
$71$	−5.89152	−	1.91427i	−0.699195	−	0.227182i	−0.0622154	−	0.998063i	$-0.519817\pi$
$71$	−5.89152	−	1.91427i	−0.699195	−	0.227182i	−0.636980	+	0.770880i	$0.719817\pi$
$72$	−2.75627	−	1.18446i	−0.324830	−	0.139591i
$73$	10.2696	+	1.62655i	1.20197	+	0.190373i	0.725126	−	0.688616i	$-0.241782\pi$
$73$	10.2696	+	1.62655i	1.20197	+	0.190373i	0.476841	+	0.878989i	$0.341782\pi$
$74$	−3.33129			−0.387255
$75$	8.56779	−	1.26212i	0.989323	−	0.145737i
$76$	−4.26159			−0.488838
$77$	4.16312	+	0.659373i	0.474431	+	0.0751425i
$78$	−3.93113	+	0.128525i	−0.445113	+	0.0145526i
$79$	6.06800	+	1.97161i	0.682703	+	0.221824i	0.629778	−	0.776775i	$-0.283146\pi$
$79$	6.06800	+	1.97161i	0.682703	+	0.221824i	0.0529246	+	0.998599i	$0.483146\pi$
$80$	2.18512	−	0.474585i	0.244304	−	0.0530602i
$81$	8.92320	−	1.17323i	0.991467	−	0.130358i
$82$	−6.45312	+	6.45312i	−0.712628	+	0.712628i
$83$	−6.92579	−	3.52887i	−0.760204	−	0.387343i	0.0305056	−	0.999535i	$-0.490288\pi$
$83$	−6.92579	−	3.52887i	−0.760204	−	0.387343i	−0.790710	+	0.612191i	$0.790288\pi$
$84$	−1.28522	−	2.33081i	−0.140229	−	0.254313i
$85$	−4.95434	−	12.7376i	−0.537374	−	1.38159i
$86$	5.53335	+	7.61600i	0.596677	+	0.821255i
$87$	12.7655	+	3.69121i	1.36861	+	0.395739i
$88$	−0.429079	−	2.70910i	−0.0457400	−	0.288791i
$89$	−8.12567	+	5.90364i	−0.861319	+	0.625785i	−0.928243	−	0.371973i	$-0.878681\pi$
$89$	−8.12567	+	5.90364i	−0.861319	+	0.625785i	0.0669245	+	0.997758i	$0.478681\pi$
$90$	−4.90616	+	4.57489i	−0.517155	+	0.482235i
$91$	−2.82319	−	2.05117i	−0.295951	−	0.215021i
$92$	−2.33630	+	4.58525i	−0.243576	+	0.478045i
$93$	9.78829	−	3.53801i	1.01500	−	0.366875i
$94$	2.29694	−	0.746320i	0.236911	−	0.0769770i
$95$	−3.83730	+	8.72245i	−0.393698	+	0.894904i
$96$	−1.18407	+	1.26411i	−0.120849	+	0.129018i
$97$	5.51066	+	10.8153i	0.559523	+	1.09813i	0.981490	+	0.191514i	$0.0613398\pi$
$97$	5.51066	+	10.8153i	0.559523	+	1.09813i	−0.421967	+	0.906611i	$0.638660\pi$
$98$	−0.725621	+	4.58139i	−0.0732988	+	0.462791i
$99$	5.26115	+	6.32694i	0.528766	+	0.635881i
$100$	0.996207	−	4.89975i	0.0996207	−	0.489975i
$101$		−	3.53757i		−	0.352002i	−0.984390	−	0.176001i	$-0.943684\pi$
$101$		−	3.53757i		−	0.352002i	0.984390	−	0.176001i	$-0.0563161\pi$
$102$	8.76348	+	5.93944i	0.867714	+	0.588093i
$103$	−14.6853	+	7.48254i	−1.44699	+	0.737277i	−0.988471	−	0.151409i	$-0.951619\pi$
$103$	−14.6853	+	7.48254i	−1.44699	+	0.737277i	−0.458516	+	0.888686i	$0.651619\pi$
$104$	−0.701732	+	2.15971i	−0.0688105	+	0.211777i
$105$	−5.92787	+	0.531789i	−0.578501	+	0.0518973i
$106$	0.135747	+	0.417787i	0.0131849	+	0.0405791i
$107$	1.32720	+	1.32720i	0.128305	+	0.128305i	0.768343	−	0.640038i	$-0.221081\pi$
$107$	1.32720	+	1.32720i	0.128305	+	0.128305i	−0.640038	+	0.768343i	$0.721081\pi$
$108$	1.11423	−	5.07528i	0.107217	−	0.488369i
$109$	10.6696	−	14.6855i	1.02196	−	1.40661i	0.111147	−	0.993804i	$-0.464548\pi$
$109$	10.6696	−	14.6855i	1.02196	−	1.40661i	0.910818	−	0.412809i	$-0.135452\pi$
$110$	−5.93122	−	1.56115i	−0.565520	−	0.148850i
$111$	−1.08836	−	5.66640i	−0.103303	−	0.537830i
$112$	−1.51780	+	0.240395i	−0.143418	+	0.0227152i
$113$	−6.54968	+	1.03737i	−0.616142	+	0.0975873i	−0.456701	−	0.889620i	$-0.650969\pi$
$113$	−6.54968	+	1.03737i	−0.616142	+	0.0975873i	−0.159441	+	0.987207i	$0.550969\pi$
$114$	−1.39230	−	7.24880i	−0.130401	−	0.678912i
$115$	7.28120	+	8.91056i	0.678975	+	0.830914i
$116$	4.50956	−	6.20687i	0.418702	−	0.576294i
$117$	−1.50295	−	6.64470i	−0.138948	−	0.614303i
$118$	5.13028	+	5.13028i	0.472281	+	0.472281i
$119$	2.90249	+	8.93296i	0.266071	+	0.818883i
$120$	1.52115	+	3.56176i	0.138861	+	0.325142i
$121$	1.07435	−	3.30652i	0.0976685	−	0.300593i
$122$	−8.97385	+	4.57240i	−0.812454	+	0.413966i
$123$	−13.0848	−	8.86820i	−1.17982	−	0.799619i
$124$		−	6.00911i		−	0.539634i
$125$	−9.13158	−	6.45091i	−0.816753	−	0.576987i
$126$	3.54473	−	2.94761i	0.315789	−	0.262594i
$127$	1.37095	−	8.65582i	0.121652	−	0.768080i	−0.849142	−	0.528165i	$-0.822880\pi$
$127$	1.37095	−	8.65582i	0.121652	−	0.768080i	0.970794	−	0.239915i	$-0.0771197\pi$
$128$	0.453990	+	0.891007i	0.0401275	+	0.0787546i
$129$	−11.1467	+	11.9002i	−0.981414	+	1.04776i
$130$	3.78853	+	3.38096i	0.332276	+	0.296529i
$131$	11.0161	−	3.57935i	0.962481	−	0.312729i	0.214704	−	0.976679i	$-0.431121\pi$
$131$	11.0161	−	3.57935i	0.962481	−	0.312729i	0.747777	+	0.663950i	$0.231121\pi$
$132$	4.46788	−	1.61493i	0.388879	−	0.140562i
$133$	2.97312	−	5.83508i	0.257802	−	0.505966i
$134$	4.80000	+	3.48741i	0.414657	+	0.301266i
$135$	−9.38458	−	6.85052i	−0.807696	−	0.589599i
$136$	4.94484	−	3.59264i	0.424017	−	0.308066i
$137$	1.14803	+	7.24839i	0.0980830	+	0.619272i	0.986940	+	0.161087i	$0.0515001\pi$
$137$	1.14803	+	7.24839i	0.0980830	+	0.619272i	−0.888857	+	0.458184i	$0.848500\pi$
$138$	−8.56261	−	2.47591i	−0.728898	−	0.210763i
$139$	−5.12432	−	7.05302i	−0.434639	−	0.598230i	0.534371	−	0.845250i	$-0.320549\pi$
$139$	−5.12432	−	7.05302i	−0.434639	−	0.598230i	−0.969010	+	0.247020i	$0.920549\pi$
$140$	−0.874649	+	3.32302i	−0.0739214	+	0.280847i
$141$	2.01989	+	3.66317i	0.170105	+	0.308494i
$142$	−5.51953	−	2.81234i	−0.463189	−	0.236007i
$143$	4.40432	−	4.40432i	0.368308	−	0.368308i
$144$	−2.53705	−	1.60106i	−0.211421	−	0.133422i
$145$	−8.64339	−	14.8189i	−0.717794	−	1.23064i
$146$	9.88873	+	3.21304i	0.818397	+	0.265913i
$147$	−8.02983	+	0.262529i	−0.662289	+	0.0216531i
$148$	−3.29028	−	0.521129i	−0.270459	−	0.0428366i
$149$	0.907025			0.0743064			0.0371532	−	0.999310i	$-0.488171\pi$
$149$	0.907025			0.0743064			0.0371532	+	0.999310i	$0.488171\pi$
$150$	8.65975	+	0.0937144i	0.707065	+	0.00765175i
$151$	−7.07775			−0.575979			−0.287989	−	0.957634i	$-0.592987\pi$
$151$	−7.07775			−0.575979			−0.287989	+	0.957634i	$0.592987\pi$
$152$	−4.20913	−	0.666660i	−0.341405	−	0.0540733i
$153$	−7.23964	+	16.8468i	−0.585290	+	1.36198i
$154$	4.00871	+	1.30251i	0.323031	+	0.104959i
$155$	−12.2992	−	5.41082i	−0.987894	−	0.434608i
$156$	−3.90284	−	0.488021i	−0.312477	−	0.0390730i
$157$	−3.09020	+	3.09020i	−0.246625	+	0.246625i	−0.819584	−	0.572959i	$-0.805795\pi$
$157$	−3.09020	+	3.09020i	−0.246625	+	0.246625i	0.572959	+	0.819584i	$0.305795\pi$
$158$	5.68486	+	2.89658i	0.452263	+	0.230440i
$159$	−0.666289	+	0.367395i	−0.0528401	+	0.0291363i
$160$	2.23246	−	0.126913i	0.176492	−	0.0100334i
$161$	−4.64830	−	6.39784i	−0.366338	−	0.504221i
$162$	8.99688	+	0.237114i	0.706861	+	0.0186295i
$163$	−1.19195	−	7.52570i	−0.0933610	−	0.589458i	−0.989370	−	0.145422i	$-0.953546\pi$
$163$	−1.19195	−	7.52570i	−0.0933610	−	0.589458i	0.896009	−	0.444036i	$-0.146454\pi$
$164$	−7.38316	+	5.36418i	−0.576528	+	0.418872i
$165$	0.717671	−	10.5988i	0.0558706	−	0.825116i
$166$	−6.28849	−	4.56885i	−0.488081	−	0.354612i
$167$	−7.13033	+	13.9941i	−0.551761	+	1.08289i	0.431741	+	0.901998i	$0.357899\pi$
$167$	−7.13033	+	13.9941i	−0.551761	+	1.08289i	−0.983502	+	0.180895i	$0.942101\pi$
$168$	−0.904781	−	2.50317i	−0.0698053	−	0.193124i
$169$	7.45935	−	2.42369i	0.573797	−	0.186438i
$170$	−2.90074	−	13.3558i	−0.222477	−	1.02435i
$171$	11.8750	−	4.73649i	0.908106	−	0.362209i
$172$	4.27382	+	8.38785i	0.325876	+	0.639567i
$173$	2.95227	−	18.6399i	0.224457	−	1.41717i	−0.575840	−	0.817562i	$-0.695325\pi$
$173$	2.95227	−	18.6399i	0.224457	−	1.41717i	0.800297	−	0.599603i	$-0.204675\pi$
$174$	12.0309	+	5.64273i	0.912064	+	0.427774i
$175$	6.01385	+	4.78237i	0.454605	+	0.361513i
$176$		−	2.74287i		−	0.206751i
$177$	−7.05029	+	10.4025i	−0.529932	+	0.781900i
$178$	−8.94916	+	4.55982i	−0.670768	+	0.341773i
$179$	8.00048	−	24.6229i	0.597984	−	1.84040i	0.0587089	−	0.998275i	$-0.481302\pi$
$179$	8.00048	−	24.6229i	0.597984	−	1.84040i	0.539275	−	0.842130i	$-0.318698\pi$
$180$	−5.56143	+	3.75107i	−0.414524	+	0.279588i
$181$	−2.63278	−	8.10287i	−0.195693	−	0.602282i	−0.999968	−	0.00802385i	$-0.997446\pi$
$181$	−2.63278	−	8.10287i	−0.195693	−	0.602282i	0.804275	−	0.594258i	$-0.202554\pi$
$182$	−2.46756	−	2.46756i	−0.182908	−	0.182908i
$183$	−10.7093	−	13.7703i	−0.791655	−	1.01793i
$184$	−3.02483	+	4.16332i	−0.222993	+	0.306924i
$185$	−4.02931	+	6.26516i	−0.296241	+	0.460624i
$186$	10.2212	−	1.96323i	0.749458	−	0.143951i
$187$	−16.5585	+	2.62260i	−1.21087	+	0.191784i
$188$	2.38541	−	0.377811i	0.173974	−	0.0275547i
$189$	6.17186	+	5.06642i	0.448937	+	0.368528i
$190$	−5.15454	+	8.01477i	−0.373950	+	0.581453i
$191$	5.15251	−	7.09182i	0.372822	−	0.513146i	−0.580843	−	0.814016i	$-0.697277\pi$
$191$	5.15251	−	7.09182i	0.372822	−	0.513146i	0.953665	+	0.300870i	$0.0972769\pi$
$192$	−1.36724	+	1.06332i	−0.0986723	+	0.0767384i
$193$	16.8199	+	16.8199i	1.21072	+	1.21072i	0.970790	+	0.239930i	$0.0771245\pi$
$193$	16.8199	+	16.8199i	1.21072	+	1.21072i	0.239930	+	0.970790i	$0.422875\pi$
$194$	3.75093	+	11.5442i	0.269301	+	0.828824i
$195$	−4.51312	+	7.54873i	−0.323191	+	0.540576i
$196$	−1.43338	+	4.41148i	−0.102384	+	0.315105i
$197$	6.24937	−	3.18421i	0.445249	−	0.226866i	−0.216966	−	0.976179i	$-0.569616\pi$
$197$	6.24937	−	3.18421i	0.445249	−	0.226866i	0.662216	+	0.749313i	$0.269616\pi$
$198$	4.20663	+	7.07207i	0.298952	+	0.502590i
$199$			18.4867i			1.31048i	0.755419	+	0.655242i	$0.227433\pi$
$199$			18.4867i			1.31048i	−0.755419	+	0.655242i	$0.772567\pi$
$200$	1.75043	−	4.68359i	0.123774	−	0.331180i
$201$	−4.36373	+	9.30397i	−0.307794	+	0.656252i
$202$	0.553398	−	3.49402i	0.0389370	−	0.245838i
$203$	5.35249	+	10.5049i	0.375671	+	0.737296i
$204$	7.72646	+	7.23723i	0.540960	+	0.506707i
$205$	4.33110	+	19.9416i	0.302497	+	1.39278i
$206$	−15.6750	+	5.09313i	−1.09213	+	0.354855i
$207$	1.41394	−	15.3735i	0.0982757	−	1.06854i
$208$	−1.03095	+	2.02334i	−0.0714832	+	0.140294i
$209$	9.45659	+	6.87061i	0.654126	+	0.475250i
$210$	−5.93808	−	0.402082i	−0.409767	−	0.0277463i
$211$	12.6782	−	9.21124i	0.872802	−	0.634128i	−0.0585355	−	0.998285i	$-0.518643\pi$
$211$	12.6782	−	9.21124i	0.872802	−	0.634128i	0.931337	+	0.364158i	$0.118643\pi$
$212$	0.0687197	+	0.433879i	0.00471969	+	0.0297989i
$213$	2.98040	−	10.3073i	0.204214	−	0.706246i
$214$	1.10324	+	1.51848i	0.0754158	+	0.103801i
$215$	21.0162	−	1.19475i	1.43329	−	0.0814811i
$216$	1.89446	−	4.83849i	0.128902	−	0.329218i
$217$	8.22782	+	4.19228i	0.558541	+	0.284591i
$218$	12.8356	−	12.8356i	0.869335	−	0.869335i
$219$	−2.23452	+	17.8701i	−0.150995	+	1.20755i
$220$	−5.61398	−	2.46978i	−0.378495	−	0.166512i
$221$	13.2005	+	4.28910i	0.887961	+	0.288516i
$222$	−0.188544	−	5.76689i	−0.0126543	−	0.387048i
$223$	−24.2212	−	3.83626i	−1.62197	−	0.256895i	−0.721695	−	0.692211i	$-0.756637\pi$
$223$	−24.2212	−	3.83626i	−1.62197	−	0.256895i	−0.900278	+	0.435316i	$0.856637\pi$
$224$	−1.53672			−0.102676
$225$	2.66981	+	14.7605i	0.177987	+	0.984033i
$226$	−6.63132			−0.441109
$227$	−21.5518	−	3.41347i	−1.43044	−	0.226560i	−0.607335	−	0.794446i	$-0.707761\pi$
$227$	−21.5518	−	3.41347i	−1.43044	−	0.226560i	−0.823107	+	0.567886i	$0.807761\pi$
$228$	−0.241197	−	7.37736i	−0.0159737	−	0.488577i
$229$	14.1502	+	4.59767i	0.935070	+	0.303823i	0.736634	−	0.676291i	$-0.236414\pi$
$229$	14.1502	+	4.59767i	0.935070	+	0.303823i	0.198436	+	0.980114i	$0.436414\pi$
$230$	5.79763	+	9.93989i	0.382285	+	0.655417i
$231$	−0.905834	+	7.24420i	−0.0595995	+	0.476633i
$232$	5.42501	−	5.42501i	0.356169	−	0.356169i
$233$	−8.91074	−	4.54025i	−0.583762	−	0.297442i	0.137059	−	0.990563i	$-0.456235\pi$
$233$	−8.91074	−	4.54025i	−0.583762	−	0.297442i	−0.720821	+	0.693121i	$0.756235\pi$
$234$	−0.444988	−	6.79801i	−0.0290897	−	0.444400i
$235$	1.37462	−	5.22255i	0.0896704	−	0.340681i
$236$	4.26457	+	5.86967i	0.277600	+	0.382083i
$237$	−3.06967	+	10.6161i	−0.199397	+	0.689587i
$238$	1.46934	+	9.27703i	0.0952429	+	0.601340i
$239$	5.42628	−	3.94243i	0.350997	−	0.255014i	−0.398290	−	0.917260i	$-0.630396\pi$
$239$	5.42628	−	3.94243i	0.350997	−	0.255014i	0.749287	+	0.662245i	$0.230396\pi$
$240$	0.945240	+	3.75587i	0.0610150	+	0.242440i
$241$	7.73169	+	5.61740i	0.498042	+	0.361849i	0.808269	−	0.588814i	$-0.200405\pi$
$241$	7.73169	+	5.61740i	0.498042	+	0.361849i	−0.310227	+	0.950663i	$0.600405\pi$
$242$	1.57838	−	3.09774i	0.101462	−	0.199131i
$243$	2.53604	+	15.3808i	0.162687	+	0.986678i
$244$	−9.57865	+	3.11229i	−0.613210	+	0.199244i
$245$	7.73856	+	6.90603i	0.494398	+	0.441210i
$246$	−11.5364	−	10.8059i	−0.735534	−	0.688961i
$247$	−4.39347	−	8.62267i	−0.279550	−	0.548647i
$248$	0.940031	−	5.93512i	0.0596920	−	0.376881i
$249$	5.71693	−	12.1891i	0.362295	−	0.772455i
$250$	−8.01001	−	7.79998i	−0.506598	−	0.493314i
$251$		−	14.1774i		−	0.894872i	−0.894316	−	0.447436i	$-0.852337\pi$
$251$		−	14.1774i		−	0.894872i	0.894316	−	0.447436i	$-0.147663\pi$
$252$	3.96219	−	2.35680i	0.249595	−	0.148465i
$253$	12.5767	−	6.40816i	0.790692	−	0.402878i
$254$	2.70814	−	8.33479i	0.169924	−	0.522971i
$255$	21.7700	−	9.29751i	1.36329	−	0.582233i
$256$	0.309017	+	0.951057i	0.0193136	+	0.0594410i
$257$	13.7580	+	13.7580i	0.858198	+	0.858198i	0.991126	−	0.132928i	$-0.0424378\pi$
$257$	13.7580	+	13.7580i	0.858198	+	0.858198i	−0.132928	+	0.991126i	$0.542438\pi$
$258$	−12.8711	+	10.0100i	−0.801319	+	0.623194i
$259$	3.00902	−	4.14157i	0.186972	−	0.257344i
$260$	3.21299	+	3.93199i	0.199261	+	0.243852i
$261$	−5.66744	+	22.3077i	−0.350806	+	1.38081i
$262$	11.4404	−	1.81198i	0.706791	−	0.111945i
$263$	11.7698	−	1.86416i	0.725759	−	0.114949i	0.217386	−	0.976086i	$-0.430247\pi$
$263$	11.7698	−	1.86416i	0.725759	−	0.114949i	0.508373	+	0.861137i	$0.330247\pi$
$264$	4.66550	−	0.896119i	0.287142	−	0.0551523i
$265$	0.949923	+	0.250028i	0.0583533	+	0.0153591i
$266$	3.84933	−	5.29814i	0.236017	−	0.324850i
$267$	−10.6798	−	13.7324i	−0.653596	−	0.840410i
$268$	4.19536	+	4.19536i	0.256272	+	0.256272i
$269$	−4.78303	−	14.7206i	−0.291626	−	0.897534i	−0.984334	−	0.176315i	$-0.943582\pi$
$269$	−4.78303	−	14.7206i	−0.291626	−	0.897534i	0.692707	−	0.721219i	$-0.256418\pi$
$270$	−8.19738	−	8.23425i	−0.498877	−	0.501121i
$271$	−1.58590	+	4.88090i	−0.0963366	+	0.296494i	−0.987600	−	0.156993i	$-0.949820\pi$
$271$	−1.58590	+	4.88090i	−0.0963366	+	0.296494i	0.891263	+	0.453487i	$0.149820\pi$
$272$	5.44598	−	2.77486i	0.330211	−	0.168251i
$273$	3.39104	−	5.00339i	0.205235	−	0.302819i
$274$			7.33874i			0.443350i
$275$	−10.1101	+	9.26658i	−0.609660	+	0.558796i
$276$	−8.06987	−	3.78491i	−0.485749	−	0.227825i
$277$	−0.610374	+	3.85375i	−0.0366738	+	0.231549i	−0.999216	−	0.0395814i	$-0.987398\pi$
$277$	−0.610374	+	3.85375i	−0.0366738	+	0.231549i	0.962543	+	0.271131i	$0.0873976\pi$
$278$	−3.95790	−	7.76781i	−0.237379	−	0.465882i
$279$	6.67874	+	16.7445i	0.399846	+	1.00247i
$280$	−1.38372	+	3.14529i	−0.0826929	+	0.187967i
$281$	−2.23510	+	0.726229i	−0.133335	+	0.0433232i	−0.374924	−	0.927055i	$-0.622331\pi$
$281$	−2.23510	+	0.726229i	−0.133335	+	0.0433232i	0.241589	+	0.970379i	$0.422331\pi$
$282$	1.42198	+	3.93405i	0.0846774	+	0.234269i
$283$	1.55470	−	3.05128i	0.0924175	−	0.181380i	−0.840170	−	0.542322i	$-0.817545\pi$
$283$	1.55470	−	3.05128i	0.0924175	−	0.181380i	0.932588	+	0.360943i	$0.117545\pi$
$284$	−5.01163	−	3.64116i	−0.297386	−	0.216063i
$285$	−15.3168	−	6.14917i	−0.907291	−	0.364245i
$286$	5.03908	−	3.66111i	0.297967	−	0.216486i
$287$	−2.19387	−	13.8516i	−0.129500	−	0.817631i
$288$	−2.25535	−	1.97823i	−0.132898	−	0.116568i
$289$	−11.9665	−	16.4704i	−0.703909	−	0.968848i
$290$	−6.21879	−	15.9885i	−0.365180	−	0.938880i
$291$	−18.4107	+	10.1518i	−1.07926	+	0.595107i
$292$	9.26435	+	4.72042i	0.542155	+	0.276242i
$293$	−13.9865	+	13.9865i	−0.817101	+	0.817101i	−0.985687	−	0.168586i	$-0.946080\pi$
$293$	−13.9865	+	13.9865i	−0.817101	+	0.817101i	0.168586	+	0.985687i	$0.446080\pi$
$294$	−7.97204	−	0.996845i	−0.464939	−	0.0581372i
$295$	15.8538	−	3.44326i	0.923042	−	0.200474i
$296$	−3.16825	−	1.02943i	−0.184151	−	0.0598342i
$297$	−10.6550	+	9.46581i	−0.618263	+	0.549262i
$298$	0.895858	+	0.141890i	0.0518957	+	0.00821947i
$299$	−11.6861			−0.675827
$300$	8.53847	+	1.44724i	0.492969	+	0.0835566i
$301$	−14.4665			−0.833835
$302$	−6.99061	−	1.10720i	−0.402264	−	0.0637124i
$303$	6.12398	−	0.200219i	0.351814	−	0.0115023i
$304$	−4.05302	−	1.31690i	−0.232456	−	0.0755297i
$305$	−2.25486	+	22.4076i	−0.129113	+	1.28305i
$306$	−9.78593	+	15.5069i	−0.559424	+	0.886468i
$307$	−0.108217	+	0.108217i	−0.00617628	+	0.00617628i	−0.710188	−	0.704012i	$-0.751390\pi$
$307$	−0.108217	+	0.108217i	−0.00617628	+	0.00617628i	0.704012	+	0.710188i	$0.251390\pi$
$308$	3.75560	+	1.91357i	0.213995	+	0.109036i
$309$	−13.7844	−	24.9986i	−0.784166	−	1.42212i
$310$	−11.3013	−	7.26822i	−0.641872	−	0.412807i
$311$	−9.64088	−	13.2695i	−0.546684	−	0.752446i	0.442874	−	0.896584i	$-0.353959\pi$
$311$	−9.64088	−	13.2695i	−0.546684	−	0.752446i	−0.989558	+	0.144138i	$0.953959\pi$
$312$	−3.77844	−	1.09255i	−0.213912	−	0.0618535i
$313$	−3.64820	−	23.0338i	−0.206208	−	1.30195i	−0.845911	−	0.533325i	$-0.820942\pi$
$313$	−3.64820	−	23.0338i	−0.206208	−	1.30195i	0.639702	−	0.768623i	$-0.279058\pi$
$314$	−3.53557	+	2.56874i	−0.199523	+	0.144962i
$315$	−1.25610	−	10.2318i	−0.0707732	−	0.576496i
$316$	5.16175	+	3.75023i	0.290371	+	0.210967i
$317$	−3.25049	+	6.37945i	−0.182566	+	0.358305i	−0.964093	−	0.265566i	$-0.914441\pi$
$317$	−3.25049	+	6.37945i	−0.182566	+	0.358305i	0.781527	+	0.623872i	$0.214441\pi$
$318$	−0.715559	+	0.258641i	−0.0401266	+	0.0145039i
$319$	−20.0137	+	6.50283i	−1.12055	+	0.364089i
$320$	2.22483	+	0.223884i	0.124372	+	0.0125155i
$321$	−2.22243	+	2.37266i	−0.124044	+	0.132429i
$322$	−3.59023	−	7.04623i	−0.200076	−	0.392671i
$323$	−4.07474	+	25.7269i	−0.226724	+	1.43148i
$324$	8.84902	+	1.64162i	0.491612	+	0.0912009i
$325$	10.9409	−	3.03571i	0.606893	−	0.168391i
$326$		−	7.61951i		−	0.422005i
$327$	26.0263	+	17.6393i	1.43926	+	0.975455i
$328$	−8.13141	+	4.14316i	−0.448982	+	0.228768i
$329$	−1.14688	+	3.52974i	−0.0632297	+	0.194601i
$330$	2.36685	−	10.3561i	0.130291	−	0.570082i
$331$	5.06152	+	15.5778i	0.278206	+	0.856231i	0.988353	+	0.152177i	$0.0486285\pi$
$331$	5.06152	+	15.5778i	0.278206	+	0.856231i	−0.710147	+	0.704054i	$0.751371\pi$
$332$	−5.49634	−	5.49634i	−0.301651	−	0.301651i
$333$	9.74764	−	2.20480i	0.534168	−	0.120822i
$334$	−9.23170	+	12.7063i	−0.505136	+	0.695260i
$335$	12.3645	−	4.80922i	0.675546	−	0.262756i
$336$	−0.502059	−	2.61389i	−0.0273896	−	0.142600i
$337$	9.30661	−	1.47402i	0.506963	−	0.0802951i	0.102287	−	0.994755i	$-0.467384\pi$
$337$	9.30661	−	1.47402i	0.506963	−	0.0802951i	0.404677	+	0.914460i	$0.367384\pi$
$338$	7.74667	−	1.22695i	0.421363	−	0.0667374i
$339$	−2.16651	−	11.2796i	−0.117669	−	0.612624i
$340$	−0.775714	−	13.6452i	−0.0420690	−	0.740014i
$341$	−9.68798	+	13.3344i	−0.524634	+	0.722096i
$342$	12.4698	−	2.82051i	0.674288	−	0.152516i
$343$	−12.6467	−	12.6467i	−0.682856	−	0.682856i
$344$	2.90906	+	8.95315i	0.156846	+	0.482722i
$345$	−15.0132	+	13.1090i	−0.808284	+	0.705764i
$346$	5.83185	−	17.9486i	0.313522	−	0.964922i
$347$	21.2743	−	10.8398i	1.14207	−	0.581912i	0.222533	−	0.974925i	$-0.428567\pi$
$347$	21.2743	−	10.8398i	1.14207	−	0.581912i	0.919533	+	0.393013i	$0.128567\pi$
$348$	11.0001	+	7.45532i	0.589668	+	0.399647i
$349$		−	21.3598i		−	1.14336i	−0.820476	−	0.571681i	$-0.806292\pi$
$349$		−	21.3598i		−	1.14336i	0.820476	−	0.571681i	$-0.193708\pi$
$350$	5.19169	+	5.66426i	0.277507	+	0.302768i
$351$	11.4178	−	2.97788i	0.609435	−	0.158947i
$352$	0.429079	−	2.70910i	0.0228700	−	0.144395i
$353$	5.39943	+	10.5970i	0.287383	+	0.564020i	0.988891	−	0.148641i	$-0.0474898\pi$
$353$	5.39943	+	10.5970i	0.287383	+	0.564020i	−0.701509	+	0.712661i	$0.747490\pi$
$354$	−8.59080	+	9.17152i	−0.456596	+	0.487461i
$355$	−11.9652	+	6.97895i	−0.635048	+	0.370404i
$356$	−9.55229	+	3.10373i	−0.506271	+	0.164497i
$357$	−15.2998	+	5.53017i	−0.809751	+	0.292687i
$358$	11.7539	−	23.0682i	0.621211	−	1.21919i
$359$	−25.6736	−	18.6530i	−1.35500	−	0.984467i	−0.998745	−	0.0500792i	$-0.984053\pi$
$359$	−25.6736	−	18.6530i	−1.35500	−	0.984467i	−0.356257	−	0.934388i	$-0.615947\pi$
$360$	−6.07975	+	2.83489i	−0.320431	+	0.149412i
$361$	−0.678618	+	0.493045i	−0.0357167	+	0.0259497i
$362$	−1.33280	−	8.41497i	−0.0700504	−	0.442281i
$363$	5.78481	+	1.67270i	0.303624	+	0.0877939i
$364$	−2.05117	−	2.82319i	−0.107510	−	0.147975i
$365$	18.0035	−	14.7114i	0.942347	−	0.770032i
$366$	−8.42331	−	15.2761i	−0.440293	−	0.798493i
$367$	−7.10027	−	3.61777i	−0.370631	−	0.188846i	0.258747	−	0.965945i	$-0.416690\pi$
$367$	−7.10027	−	3.61777i	−0.370631	−	0.188846i	−0.629378	+	0.777099i	$0.716690\pi$
$368$	−3.63887	+	3.63887i	−0.189689	+	0.189689i
$369$	14.6114	−	23.1533i	0.760639	−	1.20531i
$370$	−4.95979	+	5.55770i	−0.257847	+	0.288931i
$371$	−0.642021	−	0.208605i	−0.0333320	−	0.0108302i
$372$	10.4025	−	0.340103i	0.539345	−	0.0176335i
$373$	6.60991	+	1.04691i	0.342248	+	0.0542068i	0.325193	−	0.945648i	$-0.394571\pi$
$373$	6.60991	+	1.04691i	0.342248	+	0.0542068i	0.0170555	+	0.999855i	$0.494571\pi$
$374$	−16.7649			−0.866890
$375$	10.6505	−	16.1730i	0.549990	−	0.835171i
$376$	2.41514			0.124551
$377$	17.2077	+	2.72544i	0.886244	+	0.140367i
$378$	5.30331	+	5.96954i	0.272773	+	0.307040i
$379$	−2.68053	−	0.870958i	−0.137690	−	0.0447381i	0.239361	−	0.970931i	$-0.423062\pi$
$379$	−2.68053	−	0.870958i	−0.137690	−	0.0447381i	−0.377051	+	0.926192i	$0.623062\pi$
$380$	−6.34487	+	7.10975i	−0.325485	+	0.364722i
$381$	15.0619	+	1.88338i	0.771645	+	0.0964886i
$382$	6.19848	−	6.19848i	0.317142	−	0.317142i
$383$	−4.98907	−	2.54206i	−0.254930	−	0.129893i	0.321856	−	0.946789i	$-0.395693\pi$
$383$	−4.98907	−	2.54206i	−0.254930	−	0.129893i	−0.576786	+	0.816895i	$0.695693\pi$
$384$	−1.51675	+	0.836344i	−0.0774013	+	0.0426795i
$385$	7.29830	−	5.96375i	0.371956	−	0.303941i
$386$	13.9816	+	19.2440i	0.711643	+	0.979493i
$387$	−21.2317	−	18.6228i	−1.07927	−	0.946652i
$388$	1.89884	+	11.9888i	0.0963992	+	0.608641i
$389$	−4.72410	+	3.43226i	−0.239521	+	0.174022i	−0.701070	−	0.713092i	$-0.747294\pi$
$389$	−4.72410	+	3.43226i	−0.239521	+	0.174022i	0.461549	+	0.887115i	$0.347294\pi$
$390$	−5.63844	+	6.74978i	−0.285513	+	0.341789i
$391$	25.4469	+	18.4882i	1.28690	+	0.934991i
$392$	−2.10584	+	4.13293i	−0.106361	+	0.208745i
$393$	6.81979	+	18.8677i	0.344013	+	0.951748i
$394$	6.67055	−	2.16739i	0.336058	−	0.109192i
$395$	12.3236	−	7.18800i	0.620069	−	0.361667i
$396$	3.04852	+	7.64306i	0.153194	+	0.384078i
$397$	−2.73792	−	5.37347i	−0.137412	−	0.269687i	0.812038	−	0.583605i	$-0.198358\pi$
$397$	−2.73792	−	5.37347i	−0.137412	−	0.269687i	−0.949450	+	0.313918i	$0.898358\pi$
$398$	−2.89195	+	18.2591i	−0.144960	+	0.915244i
$399$	10.2695	+	4.81659i	0.514120	+	0.241131i
$400$	2.46156	−	4.35210i	0.123078	−	0.217605i
$401$			21.8156i			1.08942i	0.838626	+	0.544708i	$0.183360\pi$
$401$			21.8156i			1.08942i	−0.838626	+	0.544708i	$0.816640\pi$
$402$	−5.76547	+	8.50679i	−0.287555	+	0.424280i
$403$	12.1585	−	6.19506i	0.605658	−	0.308598i
$404$	1.09317	−	3.36443i	0.0543872	−	0.167387i
$405$	11.3280	−	16.6336i	0.562891	−	0.826531i
$406$	3.64327	+	11.2128i	0.180812	+	0.556484i
$407$	6.46105	+	6.46105i	0.320262	+	0.320262i
$408$	6.49918	+	8.35681i	0.321757	+	0.413724i
$409$	−10.2656	+	14.1294i	−0.507603	+	0.698656i	−0.983513	−	0.180838i	$-0.942119\pi$
$409$	−10.2656	+	14.1294i	−0.507603	+	0.698656i	0.475910	+	0.879494i	$0.342119\pi$
$410$	1.15822	+	20.3737i	0.0572004	+	1.00618i
$411$	−12.4829	+	2.39763i	−0.615736	+	0.118266i
$412$	−16.2788	+	2.57831i	−0.801999	+	0.127024i
$413$	−11.0121	+	1.74414i	−0.541870	+	0.0858237i
$414$	3.80149	−	14.9631i	0.186833	−	0.735395i
$415$	−16.1988	+	6.30056i	−0.795166	+	0.309282i
$416$	−1.33477	+	1.83716i	−0.0654427	+	0.0900741i
$417$	11.9196	−	9.27003i	0.583708	−	0.453955i
$418$	8.26536	+	8.26536i	0.404272	+	0.404272i
$419$	2.70937	+	8.33859i	0.132361	+	0.407367i	0.995170	−	0.0981637i	$-0.0312969\pi$
$419$	2.70937	+	8.33859i	0.132361	+	0.407367i	−0.862809	+	0.505530i	$0.831297\pi$
$420$	−5.80207	−	1.32605i	−0.283112	−	0.0647047i
$421$	−10.5794	+	32.5601i	−0.515610	+	1.58688i	0.266560	+	0.963818i	$0.414113\pi$
$421$	−10.5794	+	32.5601i	−0.515610	+	1.58688i	−0.782170	+	0.623065i	$0.785887\pi$
$422$	13.9630	−	7.11453i	0.679710	−	0.346330i
$423$	−6.22708	+	3.70401i	−0.302771	+	0.180095i
$424$			0.439287i			0.0213337i
$425$	−28.6269	−	10.6989i	−1.38861	−	0.518974i
$426$	4.55612	−	9.71418i	0.220745	−	0.470653i
$427$	2.42116	−	15.2866i	0.117168	−	0.739772i
$428$	0.852113	+	1.67237i	0.0411884	+	0.0808369i
$429$	7.87370	+	7.37515i	0.380146	+	0.356076i
$430$	20.9443	+	2.10762i	1.01003	+	0.101638i
$431$	−2.50367	+	0.813491i	−0.120597	+	0.0391845i	−0.368694	−	0.929551i	$-0.620195\pi$
$431$	−2.50367	+	0.813491i	−0.120597	+	0.0391845i	0.248097	+	0.968735i	$0.420195\pi$
$432$	2.62804	−	4.48257i	0.126442	−	0.215668i
$433$	−17.1431	+	33.6451i	−0.823843	+	1.61688i	−0.0373338	+	0.999303i	$0.511886\pi$
$433$	−17.1431	+	33.6451i	−0.823843	+	1.61688i	−0.786509	+	0.617579i	$0.788114\pi$
$434$	7.47070	+	5.42778i	0.358605	+	0.260542i
$435$	25.1641	−	15.8015i	1.20653	−	0.757624i
$436$	14.6855	−	10.6696i	0.703307	−	0.510982i
$437$	−3.43073	−	21.6608i	−0.164114	−	1.03618i
$438$	−5.00250	+	17.3005i	−0.239029	+	0.826649i
$439$	1.73789	+	2.39200i	0.0829451	+	0.114164i	0.848473	−	0.529238i	$-0.177522\pi$
$439$	1.73789	+	2.39200i	0.0829451	+	0.114164i	−0.765528	+	0.643402i	$0.777522\pi$
$440$	−5.15851	−	3.31759i	−0.245922	−	0.158160i
$441$	−0.908943	−	13.8858i	−0.0432830	−	0.661228i
$442$	12.3670	+	6.30131i	0.588239	+	0.299723i
$443$	−8.33207	+	8.33207i	−0.395869	+	0.395869i	−0.876773	−	0.480904i	$-0.840308\pi$
$443$	−8.33207	+	8.33207i	−0.395869	+	0.395869i	0.480904	+	0.876773i	$0.340308\pi$
$444$	0.715917	−	5.72539i	0.0339759	−	0.271715i
$445$	−2.24866	+	22.3459i	−0.106597	+	1.05930i
$446$	−23.3229	−	7.57807i	−1.10437	−	0.358832i
$447$	0.0513357	+	1.57017i	0.00242810	+	0.0742667i
$448$	−1.51780	−	0.240395i	−0.0717092	−	0.0113576i
$449$	−11.1961			−0.528377			−0.264188	−	0.964471i	$-0.585104\pi$
$449$	−11.1961			−0.528377			−0.264188	+	0.964471i	$0.585104\pi$
$450$	0.327892	+	14.9964i	0.0154570	+	0.706938i
$451$	25.0317			1.17869
$452$	−6.54968	−	1.03737i	−0.308071	−	0.0487936i
$453$	−0.400586	−	12.2525i	−0.0188212	−	0.575671i
$454$	−20.7525	−	6.74288i	−0.973961	−	0.316459i
$455$	−7.62534	+	1.65614i	−0.357481	+	0.0776410i
$456$	0.915845	−	7.32426i	0.0428884	−	0.342990i
$457$	−7.27927	+	7.27927i	−0.340510	+	0.340510i	−0.856559	−	0.516049i	$-0.827402\pi$
$457$	−7.27927	+	7.27927i	−0.340510	+	0.340510i	0.516049	+	0.856559i	$0.327402\pi$
$458$	13.2567	+	6.75464i	0.619446	+	0.315624i
$459$	−29.5737	−	11.5792i	−1.38038	−	0.540473i
$460$	4.17131	+	10.7245i	0.194488	+	0.500031i
$461$	−11.8441	−	16.3020i	−0.551633	−	0.759258i	0.438600	−	0.898683i	$-0.355475\pi$
$461$	−11.8441	−	16.3020i	−0.551633	−	0.759258i	−0.990233	+	0.139425i	$0.955475\pi$
$462$	−2.02792	+	7.01331i	−0.0943475	+	0.326289i
$463$	−0.0186291	−	0.117620i	−0.000865770	−	0.00546626i	0.987252	−	0.159167i	$-0.0508808\pi$
$463$	−0.0186291	−	0.117620i	−0.000865770	−	0.00546626i	−0.988117	+	0.153701i	$0.950881\pi$
$464$	6.20687	−	4.50956i	0.288147	−	0.209351i
$465$	8.67070	−	21.5977i	0.402094	−	1.00157i
$466$	−8.09078	−	5.87830i	−0.374798	−	0.272307i
$467$	−7.83859	+	15.3841i	−0.362727	+	0.711892i	−0.998184	−	0.0602449i	$-0.980812\pi$
$467$	−7.83859	+	15.3841i	−0.362727	+	0.711892i	0.635457	+	0.772136i	$0.280812\pi$
$468$	0.623934	−	6.78393i	0.0288413	−	0.313587i
$469$	−8.67129	+	2.81747i	−0.400403	+	0.130099i
$470$	2.17468	−	4.94321i	0.100311	−	0.228013i
$471$	−5.52442	−	5.17462i	−0.254552	−	0.238434i
$472$	3.29384	+	6.46453i	0.151611	+	0.297554i
$473$	4.03931	−	25.5032i	0.185728	−	1.17264i
$474$	−4.69260	+	10.0052i	−0.215538	+	0.459552i
$475$	8.83878	+	19.3883i	0.405551	+	0.889596i
$476$			9.39267i			0.430512i
$477$	−0.673718	−	1.13264i	−0.0308474	−	0.0518598i
$478$	5.97621	−	3.04503i	0.273345	−	0.139276i
$479$	6.64843	−	20.4618i	0.303775	−	0.934922i	−0.676357	−	0.736574i	$-0.736442\pi$
$479$	6.64843	−	20.4618i	0.303775	−	0.934922i	0.980132	−	0.198348i	$-0.0635576\pi$
$480$	0.346055	+	3.85749i	0.0157952	+	0.176070i
$481$	−2.33768	−	7.19463i	−0.106589	−	0.328047i
$482$	6.75775	+	6.75775i	0.307807	+	0.307807i
$483$	10.8124	−	8.40890i	0.491980	−	0.382618i
$484$	2.04354	−	2.81269i	0.0928882	−	0.127850i
$485$	26.2480	+	6.90871i	1.19186	+	0.313708i
$486$	0.0987294	+	15.5881i	0.00447846	+	0.707093i
$487$	2.58759	−	0.409833i	0.117255	−	0.0185713i	−0.0975313	−	0.995232i	$-0.531095\pi$
$487$	2.58759	−	0.409833i	0.117255	−	0.0185713i	0.214786	+	0.976661i	$0.431095\pi$
$488$	−9.94759	+	1.57554i	−0.450306	+	0.0713215i
$489$	12.9605	−	2.48936i	0.586093	−	0.112573i
$490$	6.56294	+	8.03158i	0.296483	+	0.362830i
$491$	−4.48442	+	6.17227i	−0.202379	+	0.278551i	−0.898128	−	0.439734i	$-0.855073\pi$
$491$	−4.48442	+	6.17227i	−0.202379	+	0.278551i	0.695749	+	0.718285i	$0.255073\pi$
$492$	−9.70394	−	12.4776i	−0.437488	−	0.562533i
$493$	−33.1585	−	33.1585i	−1.49338	−	1.49338i
$494$	−2.99050	−	9.20380i	−0.134549	−	0.414099i
$495$	18.3885	+	0.642508i	0.826501	+	0.0288786i
$496$	1.85692	−	5.71500i	0.0833780	−	0.256611i
$497$	8.48196	−	4.32177i	0.380468	−	0.193858i
$498$	7.55334	−	11.1447i	0.338473	−	0.499408i
$499$			26.6590i			1.19342i	0.802456	+	0.596711i	$0.203526\pi$
$499$			26.6590i			1.19342i	−0.802456	+	0.596711i	$0.796474\pi$
$500$	−6.69121	−	8.95699i	−0.299240	−	0.400569i
$501$	−24.6290	−	11.5515i	−1.10034	−	0.516081i
$502$	2.21784	−	14.0029i	0.0989870	−	0.624979i
$503$	7.87808	+	15.4616i	0.351266	+	0.689399i	0.997263	−	0.0739419i	$-0.0235579\pi$
$503$	7.87808	+	15.4616i	0.351266	+	0.689399i	−0.645996	+	0.763340i	$0.723558\pi$
$504$	4.28210	−	1.70796i	0.190740	−	0.0760787i
$505$	−5.90184	−	5.26691i	−0.262629	−	0.234374i
$506$	13.4243	−	4.36183i	0.596785	−	0.193907i
$507$	4.61790	+	12.7759i	0.205088	+	0.567398i
$508$	3.97865	−	7.80853i	0.176524	−	0.346448i
$509$	33.7904	+	24.5502i	1.49773	+	1.08817i	0.971273	+	0.237969i	$0.0764816\pi$
$509$	33.7904	+	24.5502i	1.49773	+	1.08817i	0.526461	+	0.850199i	$0.323518\pi$
$510$	22.9565	−	5.77746i	1.01653	−	0.255830i
$511$	−12.9266	+	9.39175i	−0.571841	+	0.415467i
$512$	0.156434	+	0.987688i	0.00691349	+	0.0436501i
$513$	8.87156	+	20.2891i	0.391689	+	0.895785i
$514$	11.4364	+	15.7408i	0.504436	+	0.694297i
$515$	−9.38086	+	35.6403i	−0.413370	+	1.57050i
$516$	−14.2785	+	7.87326i	−0.628577	+	0.346601i
$517$	−5.90240	−	3.00742i	−0.259587	−	0.132266i
$518$	3.61986	−	3.61986i	0.159048	−	0.159048i
$519$	32.4351	+	4.05577i	1.42374	+	0.178029i
$520$	2.55834	+	4.38620i	0.112190	+	0.192348i
$521$	−16.9663	−	5.51270i	−0.743309	−	0.241516i	−0.0872091	−	0.996190i	$-0.527795\pi$
$521$	−16.9663	−	5.51270i	−0.743309	−	0.241516i	−0.656099	+	0.754674i	$0.727795\pi$
$522$	−9.08735	+	21.1465i	−0.397743	+	0.925555i
$523$	5.49799	+	0.870797i	0.240410	+	0.0380773i	0.275477	−	0.961308i	$-0.411164\pi$
$523$	5.49799	+	0.870797i	0.240410	+	0.0380773i	−0.0350664	+	0.999385i	$0.511164\pi$
$524$	11.5830			0.506006
$525$	−7.93851	+	10.6814i	−0.346465	+	0.466175i
$526$	11.9165			0.519586
$527$	−36.2764	−	5.74562i	−1.58023	−	0.250283i
$528$	4.74825	−	0.155241i	0.206641	−	0.00675598i
$529$	−3.31234	−	1.07624i	−0.144015	−	0.0467932i
$530$	0.899114	+	0.395551i	0.0390550	+	0.0171816i
$531$	−18.4071	−	11.6162i	−0.798799	−	0.504099i
$532$	4.63075	−	4.63075i	0.200768	−	0.200768i
$533$	−18.4652	−	9.40850i	−0.799818	−	0.407527i
$534$	−8.40013	−	15.2340i	−0.363509	−	0.659242i
$535$	4.19020	−	0.238208i	0.181158	−	0.0102986i
$536$	3.48741	+	4.80000i	0.150633	+	0.207328i
$537$	43.0782	+	12.4562i	1.85896	+	0.537526i
$538$	−2.42133	−	15.2876i	−0.104391	−	0.659097i
$539$	10.2930	−	7.47827i	0.443349	−	0.322112i
$540$	−6.80834	−	9.41523i	−0.292984	−	0.405167i
$541$	−11.9935	−	8.71377i	−0.515640	−	0.374634i	0.299319	−	0.954153i	$-0.403241\pi$
$541$	−11.9935	−	8.71377i	−0.515640	−	0.374634i	−0.814959	+	0.579519i	$0.803241\pi$
$542$	−2.32992	+	4.57272i	−0.100079	+	0.196415i
$543$	13.8781	−	5.01628i	0.595565	−	0.215269i
$544$	5.81301	−	1.88876i	0.249231	−	0.0809800i
$545$	−8.61478	−	39.6649i	−0.369017	−	1.69906i
$546$	4.13200	−	4.41132i	0.176833	−	0.188787i
$547$	−16.7685	−	32.9101i	−0.716970	−	1.40713i	−0.905191	−	0.425006i	$-0.860272\pi$
$547$	−16.7685	−	32.9101i	−0.716970	−	1.40713i	0.188221	−	0.982127i	$-0.439728\pi$
$548$	−1.14803	+	7.24839i	−0.0490415	+	0.309636i
$549$	23.2320	−	19.3185i	0.991518	−	0.824495i
$550$	−11.4352	+	7.57093i	−0.487599	+	0.322825i
$551$			32.6954i			1.39287i
$552$	−7.37843	−	5.00072i	−0.314047	−	0.212845i
$553$	−8.73602	+	4.45123i	−0.371493	+	0.189285i
$554$	−1.20572	+	3.71082i	−0.0512261	+	0.157658i
$555$	−11.0738	−	6.62066i	−0.470058	−	0.281031i
$556$	−2.69402	−	8.29133i	−0.114252	−	0.351631i
$557$	7.87026	+	7.87026i	0.333474	+	0.333474i	0.853904	−	0.520430i	$-0.174228\pi$
$557$	7.87026	+	7.87026i	0.333474	+	0.333474i	−0.520430	+	0.853904i	$0.674228\pi$
$558$	3.97710	+	17.5831i	0.168364	+	0.744354i
$559$	−12.5654	+	17.2948i	−0.531461	+	0.731493i
$560$	−1.85871	+	2.89010i	−0.0785449	+	0.122129i
$561$	−5.47723	−	28.5163i	−0.231249	−	1.20396i
$562$	−2.32119	+	0.367641i	−0.0979136	+	0.0155080i
$563$	3.65971	−	0.579641i	0.154238	−	0.0244289i	−0.0788377	−	0.996887i	$-0.525121\pi$
$563$	3.65971	−	0.579641i	0.154238	−	0.0244289i	0.233076	+	0.972459i	$0.425121\pi$
$564$	0.789048	+	4.10806i	0.0332249	+	0.172980i
$565$	−8.02081	+	12.4715i	−0.337438	+	0.524681i
$566$	2.01289	−	2.77050i	0.0846079	−	0.116453i
$567$	−8.42130	+	10.9710i	−0.353661	+	0.460739i
$568$	−4.38033	−	4.38033i	−0.183794	−	0.183794i
$569$	1.23085	+	3.78815i	0.0515998	+	0.158808i	0.973536	−	0.228534i	$-0.0733933\pi$
$569$	1.23085	+	3.78815i	0.0515998	+	0.158808i	−0.921936	+	0.387342i	$0.873393\pi$
$570$	−14.1663	−	8.46954i	−0.593362	−	0.354750i
$571$	9.70723	−	29.8758i	0.406235	−	1.25026i	−0.513625	−	0.858015i	$-0.671698\pi$
$571$	9.70723	−	29.8758i	0.406235	−	1.25026i	0.919860	−	0.392248i	$-0.128302\pi$
$572$	5.54976	−	2.82775i	0.232047	−	0.118234i
$573$	12.5685	+	8.51826i	0.525055	+	0.355855i
$574$		−	14.0242i		−	0.585359i
$575$	25.7064	+	1.11904i	1.07203	+	0.0466671i
$576$	−1.91812	−	2.30669i	−0.0799217	−	0.0961120i
$577$	2.77556	−	17.5242i	0.115548	−	0.729541i	−0.860088	−	0.510145i	$-0.829592\pi$
$577$	2.77556	−	17.5242i	0.115548	−	0.729541i	0.975636	−	0.219395i	$-0.0704084\pi$
$578$	−9.24259	−	18.1396i	−0.384441	−	0.754508i
$579$	−28.1653	+	30.0693i	−1.17051	+	1.24964i
$580$	−3.64107	−	16.7645i	−0.151187	−	0.696109i
$581$	11.3603	−	3.69118i	0.471303	−	0.153136i
$582$	−19.7721	+	7.14671i	−0.819582	+	0.296241i
$583$	0.547016	−	1.07358i	0.0226551	−	0.0444631i
$584$	8.41185	+	6.11157i	0.348085	+	0.252899i
$585$	−13.3232	−	7.38554i	−0.550848	−	0.305354i
$586$	−16.0023	+	11.6263i	−0.661049	+	0.480280i
$587$	−0.244573	−	1.54417i	−0.0100946	−	0.0637349i	0.982127	−	0.188220i	$-0.0602720\pi$
$587$	−0.244573	−	1.54417i	−0.0100946	−	0.0637349i	−0.992221	+	0.124486i	$0.960272\pi$
$588$	−7.71795	−	2.23167i	−0.318283	−	0.0920327i
$589$	15.0522	+	20.7176i	0.620216	+	0.853654i
$590$	16.1972	−	0.920794i	0.666829	−	0.0379085i
$591$	5.86598	+	10.6382i	0.241294	+	0.437598i
$592$	−2.96821	−	1.51238i	−0.121992	−	0.0621583i
$593$	10.2180	−	10.2180i	0.419603	−	0.419603i	−0.465464	−	0.885067i	$-0.654113\pi$
$593$	10.2180	−	10.2180i	0.419603	−	0.419603i	0.885067	+	0.465464i	$0.154113\pi$
$594$	−12.0046	+	7.68247i	−0.492553	+	0.315215i
$595$	19.2245	+	8.45750i	0.788128	+	0.346724i
$596$	0.862632	+	0.280286i	0.0353348	+	0.0114810i
$597$	−32.0027	+	1.04631i	−1.30978	+	0.0428225i
$598$	−11.5423	−	1.82811i	−0.471998	−	0.0747571i
$599$	−22.7078			−0.927816			−0.463908	−	0.885883i	$-0.653553\pi$
$599$	−22.7078			−0.927816			−0.463908	+	0.885883i	$0.653553\pi$
$600$	8.20695	+	2.76514i	0.335047	+	0.112886i
$601$	30.2561			1.23417			0.617087	−	0.786895i	$-0.288313\pi$
$601$	30.2561			1.23417			0.617087	+	0.786895i	$0.288313\pi$
$602$	−14.2884	−	2.26306i	−0.582351	−	0.0922354i
$603$	−16.3533	−	7.02758i	−0.665959	−	0.286185i
$604$	−6.73134	−	2.18714i	−0.273894	−	0.0889936i
$605$	−3.91682	−	6.71528i	−0.159241	−	0.273015i
$606$	6.07991	+	0.760248i	0.246979	+	0.0308830i
$607$	18.2359	−	18.2359i	0.740173	−	0.740173i	−0.232438	−	0.972611i	$-0.574670\pi$
$607$	18.2359	−	18.2359i	0.740173	−	0.740173i	0.972611	+	0.232438i	$0.0746703\pi$
$608$	−3.79711	−	1.93472i	−0.153993	−	0.0784634i
$609$	−17.8823	+	9.86039i	−0.724627	+	0.399563i
$610$	−5.73242	+	21.7790i	−0.232099	+	0.881805i
$611$	3.22367	+	4.43700i	0.130416	+	0.179502i
$612$	−12.0913	+	13.7851i	−0.488760	+	0.557229i
$613$	−0.0961939	−	0.607344i	−0.00388524	−	0.0245304i	0.985670	−	0.168688i	$-0.0539529\pi$
$613$	−0.0961939	−	0.607344i	−0.00388524	−	0.0245304i	−0.989555	+	0.144157i	$0.953953\pi$
$614$	−0.123814	+	0.0899560i	−0.00499672	+	0.00363033i
$615$	−34.2764	+	8.62634i	−1.38216	+	0.347848i
$616$	3.41002	+	2.47752i	0.137393	+	0.0998222i
$617$	5.39346	−	10.5853i	0.217133	−	0.426147i	−0.756588	−	0.653892i	$-0.773135\pi$
$617$	5.39346	−	10.5853i	0.217133	−	0.426147i	0.973721	+	0.227745i	$0.0731353\pi$
$618$	−9.70402	−	26.8472i	−0.390353	−	1.07995i
$619$	17.4319	−	5.66397i	0.700647	−	0.227654i	0.0630348	−	0.998011i	$-0.479922\pi$
$619$	17.4319	−	5.66397i	0.700647	−	0.227654i	0.637613	+	0.770357i	$0.279922\pi$
$620$	−10.0252	−	8.94665i	−0.402621	−	0.359306i
$621$	26.6936	+	1.57760i	1.07118	+	0.0633069i
$622$	−7.44637	−	14.6143i	−0.298572	−	0.585981i
$623$	2.41450	−	15.2446i	0.0967350	−	0.610761i
$624$	−3.56101	−	1.67018i	−0.142555	−	0.0668607i
$625$	−24.3578	+	5.63007i	−0.974312	+	0.225203i
$626$		−	23.3209i		−	0.932092i
$627$	−11.3587	+	16.7594i	−0.453622	+	0.669306i
$628$	−3.89388	+	1.98403i	−0.155383	+	0.0791714i
$629$	−6.29202	+	19.3649i	−0.250879	+	0.772127i
$630$	0.359971	−	10.3023i	0.0143416	−	0.410454i
$631$	−10.2915	−	31.6740i	−0.409698	−	1.26092i	−0.916908	−	0.399098i	$-0.869323\pi$
$631$	−10.2915	−	31.6740i	−0.409698	−	1.26092i	0.507210	−	0.861822i	$-0.330677\pi$
$632$	4.51153	+	4.51153i	0.179459	+	0.179459i
$633$	16.6634	+	21.4262i	0.662309	+	0.851614i
$634$	−4.20844	+	5.79242i	−0.167138	+	0.230046i
$635$	−12.3996	−	15.1744i	−0.492065	−	0.602178i
$636$	−0.747210	+	0.143519i	−0.0296288	+	0.00569090i
$637$	−10.4037	+	1.64778i	−0.412208	+	0.0652874i
$638$	−20.7845	+	3.29194i	−0.822867	+	0.130329i
$639$	18.0119	+	4.57607i	0.712541	+	0.181027i
$640$	2.16242	+	0.569168i	0.0854770	+	0.0224983i
$641$	5.38356	−	7.40984i	0.212638	−	0.292671i	−0.689353	−	0.724425i	$-0.742105\pi$
$641$	5.38356	−	7.40984i	0.212638	−	0.292671i	0.901991	+	0.431754i	$0.142105\pi$
$642$	−2.56623	+	1.99579i	−0.101281	+	0.0787674i
$643$	−10.3369	−	10.3369i	−0.407649	−	0.407649i	0.473269	−	0.880918i	$-0.343074\pi$
$643$	−10.3369	−	10.3369i	−0.407649	−	0.407649i	−0.880918	+	0.473269i	$0.843074\pi$
$644$	−2.44376	−	7.52111i	−0.0962975	−	0.296373i
$645$	3.25773	+	36.3140i	0.128273	+	1.42986i
$646$	−8.04914	+	24.7727i	−0.316689	+	0.974669i
$647$	−9.67805	+	4.93122i	−0.380484	+	0.193866i	−0.633763	−	0.773527i	$-0.718491\pi$
$647$	−9.67805	+	4.93122i	−0.380484	+	0.193866i	0.253280	+	0.967393i	$0.418491\pi$
$648$	8.48327	+	3.00570i	0.333254	+	0.118075i
$649$		−	19.9004i		−	0.781157i
$650$	11.2811	−	1.28680i	0.442481	−	0.0504723i
$651$	−6.79169	+	14.4807i	−0.266187	+	0.567542i
$652$	1.19195	−	7.52570i	0.0466805	−	0.294729i
$653$	−14.0273	−	27.5300i	−0.548929	−	1.07733i	−0.984204	−	0.177036i	$-0.943349\pi$
$653$	−14.0273	−	27.5300i	−0.548929	−	1.07733i	0.435276	−	0.900297i	$-0.356651\pi$
$654$	22.9465	+	21.4935i	0.897278	+	0.840463i
$655$	10.4298	−	23.7076i	0.407525	−	0.926333i
$656$	−8.67943	+	2.82012i	−0.338875	+	0.110107i
$657$	−31.0618	−	2.85683i	−1.21184	−	0.111455i
$658$	−1.68494	+	3.30687i	−0.0656856	+	0.128915i
$659$	32.9364	+	23.9297i	1.28302	+	0.932169i	0.999640	−	0.0268379i	$-0.00854379\pi$
$659$	32.9364	+	23.9297i	1.28302	+	0.932169i	0.283381	+	0.959007i	$0.408544\pi$
$660$	3.95776	−	9.85829i	0.154056	−	0.383734i
$661$	0.749210	−	0.544333i	0.0291409	−	0.0211721i	−0.573119	−	0.819472i	$-0.694267\pi$
$661$	0.749210	−	0.544333i	0.0291409	−	0.0211721i	0.602260	+	0.798300i	$0.294267\pi$
$662$	2.56231	+	16.1778i	0.0995869	+	0.628767i
$663$	−6.67785	+	23.0945i	−0.259346	+	0.896915i
$664$	−4.56885	−	6.28849i	−0.177306	−	0.244041i
$665$	−5.30832	−	13.6477i	−0.205848	−	0.529235i
$666$	9.97254	−	0.652788i	0.386428	−	0.0252950i
$667$	35.1786	+	17.9244i	1.36212	+	0.694034i
$668$	−11.1057	+	11.1057i	−0.429694	+	0.429694i
$669$	5.27019	−	42.1471i	0.203757	−	1.62950i
$670$	12.9646	−	2.81577i	0.500867	−	0.108783i
$671$	26.2730	+	8.53660i	1.01426	+	0.329552i
$672$	−0.0869750	−	2.66025i	−0.00335513	−	0.102621i
$673$	9.13465	+	1.44679i	0.352115	+	0.0557695i	0.329987	−	0.943986i	$-0.392956\pi$
$673$	9.13465	+	1.44679i	0.352115	+	0.0557695i	0.0221284	+	0.999755i	$0.492956\pi$
$674$	9.42262			0.362946
$675$	−25.4012	+	5.45719i	−0.977691	+	0.210047i
$676$	7.84323			0.301663
$677$	23.3458	+	3.69762i	0.897253	+	0.142111i	0.587993	−	0.808866i	$-0.299918\pi$
$677$	23.3458	+	3.69762i	0.897253	+	0.142111i	0.309261	+	0.950977i	$0.399918\pi$
$678$	−0.375319	−	11.4797i	−0.0144140	−	0.440873i
$679$	−17.7401	−	5.76412i	−0.680804	−	0.221207i
$680$	1.36841	−	13.5985i	0.0524763	−	0.521480i
$681$	4.68936	−	37.5020i	0.179696	−	1.43708i
$682$	−11.6547	+	11.6547i	−0.446280	+	0.446280i
$683$	20.2551	+	10.3205i	0.775041	+	0.394903i	0.796324	−	0.604870i	$-0.206775\pi$
$683$	20.2551	+	10.3205i	0.775041	+	0.394903i	−0.0212830	+	0.999773i	$0.506775\pi$
$684$	12.7575	−	0.835086i	0.487794	−	0.0319303i
$685$	13.8020	+	8.87646i	0.527346	+	0.339152i
$686$	−10.5126	−	14.4693i	−0.401372	−	0.552442i
$687$	−7.15828	+	24.7559i	−0.273105	+	0.944498i
$688$	1.47266	+	9.29800i	0.0561446	+	0.354483i
$689$	−0.807040	+	0.586349i	−0.0307458	+	0.0223381i
$690$	−16.8791	+	10.5990i	−0.642575	+	0.403497i
$691$	13.7351	+	9.97910i	0.522506	+	0.379623i	0.817547	−	0.575862i	$-0.195333\pi$
$691$	13.7351	+	9.97910i	0.522506	+	0.379623i	−0.295041	+	0.955485i	$0.595333\pi$
$692$	8.56782	−	16.8153i	0.325700	−	0.639222i
$693$	−12.5919	−	1.15811i	−0.478326	−	0.0439928i
$694$	22.7081	−	7.37832i	0.861989	−	0.280077i
$695$	−19.3961	−	1.95182i	−0.735737	−	0.0740368i
$696$	9.69841	+	9.08432i	0.367617	+	0.344340i
$697$	25.3237	+	49.7005i	0.959202	+	1.88254i
$698$	3.34140	−	21.0968i	0.126474	−	0.798525i
$699$	7.35541	−	15.6826i	0.278207	−	0.593170i
$700$	4.24168	+	6.40668i	0.160321	+	0.242150i
$701$			6.88173i			0.259920i	0.991519	+	0.129960i	$0.0414848\pi$
$701$			6.88173i			0.259920i	−0.991519	+	0.129960i	$0.958515\pi$
$702$	11.7430	−	1.15508i	0.443212	−	0.0435958i
$703$	12.6493	−	6.44513i	0.477077	−	0.243083i
$704$	0.847593	−	2.60862i	0.0319448	−	0.0983161i
$705$	9.11868	+	2.08406i	0.343430	+	0.0784901i
$706$	3.67522	+	11.3112i	0.138319	+	0.425701i
$707$	3.84401	+	3.84401i	0.144569	+	0.144569i
$708$	−9.91977	+	7.71471i	−0.372808	+	0.289937i
$709$	5.55483	−	7.64557i	0.208616	−	0.287135i	−0.691868	−	0.722024i	$-0.743212\pi$
$709$	5.55483	−	7.64557i	0.208616	−	0.287135i	0.900484	+	0.434888i	$0.143212\pi$
$710$	−12.9097	+	5.02126i	−0.484491	+	0.188444i
$711$	−18.5515	−	4.71314i	−0.695734	−	0.176757i
$712$	−9.92022	+	1.57121i	−0.371776	+	0.0588835i
$713$	30.5430	−	4.83754i	1.14384	−	0.181167i
$714$	−15.9765	+	3.06867i	−0.597907	+	0.114842i
$715$	−0.790497	−	13.9052i	−0.0295629	−	0.520026i
$716$	15.2178	−	20.9455i	0.568716	−	0.782771i
$717$	7.13195	+	9.17045i	0.266348	+	0.342477i
$718$	−22.4396	−	22.4396i	−0.837438	−	0.837438i
$719$	11.9133	+	36.6654i	0.444292	+	1.36739i	0.883259	+	0.468886i	$0.155344\pi$
$719$	11.9133	+	36.6654i	0.444292	+	1.36739i	−0.438967	+	0.898503i	$0.644656\pi$
$720$	−6.44838	+	1.84890i	−0.240317	+	0.0689045i
$721$	7.82670	−	24.0881i	0.291482	−	0.897088i
$722$	−0.747392	+	0.380815i	−0.0278151	+	0.0141725i
$723$	−9.28683	+	13.7025i	−0.345381	+	0.509600i
$724$		−	8.51986i		−	0.316638i
$725$	−37.5915	−	7.64301i	−1.39611	−	0.283854i
$726$	5.45192	+	2.55705i	0.202340	+	0.0949009i
$727$	−5.82954	+	36.8063i	−0.216206	+	1.36507i	0.605812	+	0.795608i	$0.292848\pi$
$727$	−5.82954	+	36.8063i	−0.216206	+	1.36507i	−0.822018	+	0.569462i	$0.807152\pi$
$728$	−1.58427	−	3.10931i	−0.0587170	−	0.115239i
$729$	−26.4825	+	5.26072i	−0.980835	+	0.194841i
$730$	20.0832	−	11.7139i	0.743314	−	0.433552i
$731$	54.7231	−	17.7806i	2.02401	−	0.657640i
$732$	−5.92990	−	16.4057i	−0.219175	−	0.606372i
$733$	−11.2367	+	22.0534i	−0.415039	+	0.814559i	0.584955	+	0.811066i	$0.301112\pi$
$733$	−11.2367	+	22.0534i	−0.415039	+	0.814559i	−0.999994	+	0.00349370i	$0.998888\pi$
$734$	−6.44691	−	4.68395i	−0.237960	−	0.172888i
$735$	−11.5172	+	13.7873i	−0.424819	+	0.508552i
$736$	−4.16332	+	3.02483i	−0.153462	+	0.111497i
$737$	−2.54578	−	16.0734i	−0.0937750	−	0.592072i
$738$	18.0535	−	20.5825i	0.664558	−	0.757654i
$739$	−2.95524	−	4.06754i	−0.108710	−	0.149627i	0.751195	−	0.660080i	$-0.229478\pi$
$739$	−2.95524	−	4.06754i	−0.108710	−	0.149627i	−0.859906	+	0.510453i	$0.829478\pi$
$740$	−5.76815	+	4.71340i	−0.212041	+	0.173268i
$741$	14.6783	−	8.09368i	0.539220	−	0.297329i
$742$	−0.601483	−	0.306471i	−0.0220811	−	0.0112509i
$743$	−3.70154	+	3.70154i	−0.135796	+	0.135796i	−0.771738	−	0.635941i	$-0.780612\pi$
$743$	−3.70154	+	3.70154i	−0.135796	+	0.135796i	0.635941	+	0.771738i	$0.280612\pi$
$744$	10.3276	+	1.29140i	0.378630	+	0.0473449i
$745$	1.35042	−	1.51322i	0.0494757	−	0.0554400i
$746$	6.36476	+	2.06804i	0.233030	+	0.0757162i
$747$	21.4245	+	9.20684i	0.783882	+	0.336861i
$748$	−16.5585	−	2.62260i	−0.605437	−	0.0958918i
$749$	−2.88433			−0.105391
$750$	13.0494	−	14.3078i	0.476497	−	0.522447i
$751$	−21.2996			−0.777232			−0.388616	−	0.921400i	$-0.627047\pi$
$751$	−21.2996			−0.777232			−0.388616	+	0.921400i	$0.627047\pi$
$752$	2.38541	+	0.377811i	0.0869869	+	0.0137774i
$753$	24.5429	−	0.802413i	0.894394	−	0.0292416i
$754$	16.5695	+	5.38377i	0.603427	+	0.196065i
$755$	−10.5377	+	11.8080i	−0.383506	+	0.429738i
$756$	4.30417	+	6.72566i	0.156541	+	0.244610i
$757$	21.7093	−	21.7093i	0.789039	−	0.789039i	−0.192298	−	0.981337i	$-0.561594\pi$
$757$	21.7093	−	21.7093i	0.789039	−	0.789039i	0.981337	+	0.192298i	$0.0615939\pi$
$758$	−2.51128	−	1.27956i	−0.0912139	−	0.0464758i
$759$	11.8052	+	21.4092i	0.428500	+	0.777105i
$760$	−7.37896	+	6.02966i	−0.267663	+	0.218719i
$761$	2.06195	+	2.83804i	0.0747458	+	0.102879i	0.844753	−	0.535157i	$-0.179747\pi$
$761$	2.06195	+	2.83804i	0.0747458	+	0.102879i	−0.770007	+	0.638035i	$0.779747\pi$
$762$	14.5819	+	4.21640i	0.528245	+	0.152744i
$763$	4.36372	+	27.5514i	0.157977	+	0.997429i
$764$	7.09182	−	5.15251i	0.256573	−	0.186411i
$765$	17.3273	+	37.1605i	0.626470	+	1.34354i
$766$	−4.52998	−	3.29122i	−0.163675	−	0.118917i
$767$	−7.47983	+	14.6800i	−0.270081	+	0.530064i
$768$	−1.62891	+	0.588775i	−0.0587782	+	0.0212456i
$769$	−47.9017	+	15.5642i	−1.72738	+	0.561259i	−0.993067	−	0.117552i	$-0.962495\pi$
$769$	−47.9017	+	15.5642i	−1.72738	+	0.561259i	−0.734312	+	0.678812i	$0.762495\pi$
$770$	8.14139	−	4.74862i	0.293395	−	0.171128i
$771$	−23.0381	+	24.5954i	−0.829697	+	0.885783i
$772$	10.7990	+	21.1943i	0.388665	+	0.762798i
$773$	−0.721941	+	4.55815i	−0.0259664	+	0.163945i	−0.997264	−	0.0739221i	$-0.976448\pi$
$773$	−0.721941	+	4.55815i	−0.0259664	+	0.163945i	0.971298	+	0.237867i	$0.0764484\pi$
$774$	−18.0570	−	21.7149i	−0.649046	−	0.780527i
$775$	−27.3387	+	12.4632i	−0.982034	+	0.447692i
$776$			12.1383i			0.435739i
$777$	7.33988	+	4.97459i	0.263317	+	0.178463i
$778$	−5.20286	+	2.65099i	−0.186532	+	0.0950426i
$779$	12.0182	−	36.9882i	0.430596	−	1.32524i
$780$	−6.62492	+	5.78464i	−0.237210	+	0.207123i
$781$	5.25060	+	16.1597i	0.187881	+	0.578238i
$782$	22.2414	+	22.2414i	0.795350	+	0.795350i
$783$	−38.9382	−	8.54848i	−1.39154	−	0.305498i
$784$	−2.72644	+	3.75263i	−0.0973730	+	0.134022i
$785$	0.554636	+	9.75631i	0.0197958	+	0.348218i
$786$	3.78427	+	19.7022i	0.134981	+	0.702755i
$787$	47.7782	−	7.56732i	1.70311	−	0.269746i	0.772302	−	0.635256i	$-0.219105\pi$
$787$	47.7782	−	7.56732i	1.70311	−	0.269746i	0.930807	+	0.365510i	$0.119105\pi$
$788$	6.92748	−	1.09721i	0.246781	−	0.0390863i
$789$	3.89324	+	20.2695i	0.138603	+	0.721615i
$790$	13.2964	−	5.17166i	0.473063	−	0.183999i
$791$	5.98980	−	8.24426i	0.212973	−	0.293132i
$792$	1.81535	+	8.02586i	0.0645057	+	0.285186i
$793$	−16.1723	−	16.1723i	−0.574295	−	0.574295i
$794$	−1.86361	−	5.73562i	−0.0661372	−	0.203549i
$795$	−0.379067	+	1.65859i	−0.0134441	+	0.0588240i
$796$	−5.71269	+	17.5819i	−0.202481	+	0.623172i
$797$	−18.4066	+	9.37861i	−0.651994	+	0.332207i	−0.748509	−	0.663124i	$-0.769230\pi$
$797$	−18.4066	+	9.37861i	−0.651994	+	0.332207i	0.0965158	+	0.995331i	$0.469230\pi$
$798$	9.38961	+	6.36380i	0.332389	+	0.225276i
$799$		−	14.7617i		−	0.522233i
$800$	3.11207	−	3.91344i	0.110028	−	0.138361i
$801$	23.1681	−	19.2654i	0.818604	−	0.680709i
$802$	−3.41270	+	21.5470i	−0.120507	+	0.760850i
$803$	−12.9475	−	25.4109i	−0.456907	−	0.896731i
$804$	−7.02524	+	7.50014i	−0.247761	+	0.264509i
$805$	−17.5943	−	1.77051i	−0.620119	−	0.0624022i
$806$	12.9779	−	4.21678i	0.457128	−	0.148530i
$807$	25.2126	−	9.11318i	0.887525	−	0.320799i
$808$	1.60602	−	3.15200i	0.0564997	−	0.110887i
$809$	25.4154	+	18.4653i	0.893557	+	0.649207i	0.936803	−	0.349857i	$-0.113770\pi$
$809$	25.4154	+	18.4653i	0.893557	+	0.649207i	−0.0432462	+	0.999064i	$0.513770\pi$
$810$	13.7906	−	14.6567i	0.484551	−	0.514985i
$811$	17.6536	−	12.8261i	0.619903	−	0.450386i	−0.232985	−	0.972480i	$-0.574849\pi$
$811$	17.6536	−	12.8261i	0.619903	−	0.450386i	0.852887	+	0.522095i	$0.174849\pi$
$812$	1.84434	+	11.6447i	0.0647237	+	0.408650i
$813$	−8.53922	−	2.46915i	−0.299483	−	0.0865967i
$814$	5.37077	+	7.39223i	0.188245	+	0.259098i
$815$	−14.3300	−	9.21605i	−0.501958	−	0.322824i
$816$	5.11187	+	9.27062i	0.178951	+	0.324537i
$817$	−35.7456	−	18.2133i	−1.25058	−	0.637202i
$818$	−12.3496	+	12.3496i	−0.431793	+	0.431793i
$819$	8.85343	+	5.58714i	0.309364	+	0.195231i
$820$	−2.04318	+	20.3040i	−0.0713510	+	0.709047i
$821$	−3.02763	−	0.983735i	−0.105665	−	0.0343326i	0.255707	−	0.966754i	$-0.417692\pi$
$821$	−3.02763	−	0.983735i	−0.105665	−	0.0343326i	−0.361372	+	0.932422i	$0.617692\pi$
$822$	−12.7043	+	0.415357i	−0.443113	+	0.0144873i
$823$	53.4535	+	8.46621i	1.86327	+	0.295113i	0.983586	−	0.180440i	$-0.0577522\pi$
$823$	53.4535	+	8.46621i	1.86327	+	0.295113i	0.879687	+	0.475554i	$0.157752\pi$
$824$	−16.4817			−0.574168
$825$	−16.6138	−	16.9773i	−0.578419	−	0.591075i
$826$	−11.1494			−0.387936
$827$	−7.32504	−	1.16017i	−0.254716	−	0.0403431i	0.0277703	−	0.999614i	$-0.491159\pi$
$827$	−7.32504	−	1.16017i	−0.254716	−	0.0403431i	−0.282487	+	0.959271i	$0.591159\pi$
$828$	6.09543	−	14.1842i	0.211831	−	0.492934i
$829$	−14.2896	−	4.64297i	−0.496298	−	0.161257i	0.0501637	−	0.998741i	$-0.484026\pi$
$829$	−14.2896	−	4.64297i	−0.496298	−	0.161257i	−0.546462	+	0.837484i	$0.684026\pi$
$830$	−16.9850	+	3.68895i	−0.589557	+	0.128045i
$831$	−6.70587	−	0.838520i	−0.232624	−	0.0290879i
$832$	−1.60574	+	1.60574i	−0.0556688	+	0.0556688i
$833$	25.2612	+	12.8712i	0.875248	+	0.445961i
$834$	13.2230	−	7.29126i	0.457877	−	0.252476i
$835$	12.7307	+	32.7308i	0.440565	+	1.13270i
$836$	6.87061	+	9.45659i	0.237625	+	0.327063i
$837$	−28.6088	+	12.5094i	−0.988867	+	0.432390i
$838$	1.37157	+	8.65976i	0.0473802	+	0.299147i
$839$	−25.0182	+	18.1768i	−0.863723	+	0.627531i	−0.928895	−	0.370343i	$-0.879240\pi$
$839$	−25.0182	+	18.1768i	−0.863723	+	0.627531i	0.0651724	+	0.997874i	$0.479240\pi$
$840$	−5.52320	−	2.21737i	−0.190569	−	0.0765066i
$841$	−24.1584	−	17.5521i	−0.833047	−	0.605244i
$842$	−15.5427	+	30.5043i	−0.535637	+	1.05125i
$843$	−1.38370	−	3.82814i	−0.0476570	−	0.131848i
$844$	14.9041	−	4.84263i	0.513020	−	0.166690i
$845$	7.06233	−	16.0532i	0.242952	−	0.552246i
$846$	−6.72985	+	2.68428i	−0.231377	+	0.0922874i
$847$	2.42552	+	4.76036i	0.0833419	+	0.163568i
$848$	−0.0687197	+	0.433879i	−0.00235984	+	0.0148995i
$849$	5.37014	+	2.51869i	0.184303	+	0.0864412i
$850$	−26.6007	−	15.0454i	−0.912397	−	0.516054i
$851$		−	17.1433i		−	0.587666i
$852$	6.01966	−	8.88184i	0.206230	−	0.304287i
$853$	32.5101	−	16.5647i	1.11312	−	0.567165i	0.202037	−	0.979378i	$-0.435244\pi$
$853$	32.5101	−	16.5647i	1.11312	−	0.567165i	0.911088	+	0.412212i	$0.135244\pi$
$854$	4.78271	−	14.7197i	0.163661	−	0.503697i
$855$	9.77809	−	26.8634i	0.334403	−	0.918709i
$856$	0.580006	+	1.78508i	0.0198242	+	0.0610126i
$857$	−25.3854	−	25.3854i	−0.867150	−	0.867150i	0.125006	−	0.992156i	$-0.460105\pi$
$857$	−25.3854	−	25.3854i	−0.867150	−	0.867150i	−0.992156	+	0.125006i	$0.960105\pi$
$858$	6.62304	+	8.51607i	0.226107	+	0.290734i
$859$	21.9978	−	30.2774i	0.750556	−	1.03305i	−0.247386	−	0.968917i	$-0.579571\pi$
$859$	21.9978	−	30.2774i	0.750556	−	1.03305i	0.997941	−	0.0641342i	$-0.0204286\pi$
$860$	20.3568	+	5.35809i	0.694160	+	0.182709i
$861$	23.8546	−	4.58184i	0.812963	−	0.156149i
$862$	−2.60010	+	0.411816i	−0.0885598	+	0.0140265i
$863$	29.4253	−	4.66051i	1.00165	−	0.158646i	0.365993	−	0.930618i	$-0.380730\pi$
$863$	29.4253	−	4.66051i	1.00165	−	0.158646i	0.635656	+	0.771972i	$0.280730\pi$
$864$	3.29691	−	4.01626i	0.112163	−	0.136636i
$865$	−26.7020	−	32.6774i	−0.907897	−	1.11106i
$866$	−22.1953	+	30.5491i	−0.754225	+	1.03810i
$867$	27.8351	−	21.6476i	0.945329	−	0.735192i
$868$	6.52963	+	6.52963i	0.221630	+	0.221630i
$869$	−5.40787	−	16.6437i	−0.183449	−	0.564599i
$870$	27.3262	−	11.6704i	0.926445	−	0.395665i
$871$	−4.16347	+	12.8138i	−0.141074	+	0.434180i
$872$	16.1738	−	8.24095i	0.547713	−	0.279074i
$873$	−18.6160	−	31.2967i	−0.630056	−	1.05923i
$874$		−	21.9308i		−	0.741820i
$875$	16.9323	−	2.91288i	0.572416	−	0.0984732i
$876$	−7.64730	+	16.3049i	−0.258378	+	0.550892i
$877$	−0.595727	+	3.76127i	−0.0201163	+	0.127009i	−0.995703	−	0.0926062i	$-0.970480\pi$
$877$	−0.595727	+	3.76127i	−0.0201163	+	0.127009i	0.975587	+	0.219615i	$0.0704802\pi$
$878$	1.34230	+	2.63442i	0.0453006	+	0.0889074i
$879$	−25.0040	−	23.4208i	−0.843365	−	0.789964i
$880$	−4.57601	−	4.08371i	−0.154257	−	0.137662i
$881$	−32.9569	+	10.7083i	−1.11035	+	0.360773i	−0.806075	−	0.591813i	$-0.798412\pi$
$881$	−32.9569	+	10.7083i	−1.11035	+	0.360773i	−0.304270	+	0.952586i	$0.598412\pi$
$882$	1.27446	−	13.8570i	0.0429134	−	0.466590i
$883$	−14.6498	+	28.7519i	−0.493006	+	0.967578i	0.501722	+	0.865029i	$0.332700\pi$
$883$	−14.6498	+	28.7519i	−0.493006	+	0.967578i	−0.994728	+	0.102549i	$0.967300\pi$
$884$	11.2290	+	8.15835i	0.377673	+	0.274395i
$885$	6.85801	+	27.2500i	0.230529	+	0.915998i
$886$	−9.53291	+	6.92606i	−0.320264	+	0.232686i
$887$	−6.90757	−	43.6127i	−0.231934	−	1.46437i	−0.778864	−	0.627193i	$-0.784204\pi$
$887$	−6.90757	−	43.6127i	−0.231934	−	1.46437i	0.546930	−	0.837178i	$-0.315796\pi$
$888$	1.60275	−	5.54290i	0.0537848	−	0.186008i
$889$	7.91591	+	10.8953i	0.265491	+	0.365417i
$890$	−5.71665	+	21.7191i	−0.191623	+	0.728024i
$891$	−16.9896	−	17.9093i	−0.569172	−	0.599985i
$892$	−21.8503	−	11.1333i	−0.731601	−	0.372770i
$893$	−7.27779	+	7.27779i	−0.243542	+	0.243542i
$894$	−0.194926	+	1.55887i	−0.00651929	+	0.0521365i
$895$	−29.1677	−	50.0073i	−0.974969	−	1.67156i
$896$	−1.46150	−	0.474872i	−0.0488254	−	0.0158643i
$897$	−0.661411	−	20.2302i	−0.0220839	−	0.675466i
$898$	−11.0583	−	1.75146i	−0.369019	−	0.0584469i
$899$	−46.1026			−1.53761
$900$	−2.02210	+	14.8631i	−0.0674034	+	0.495436i
$901$	2.68500			0.0894502
$902$	24.7235	+	3.91581i	0.823202	+	0.130382i
$903$	−0.818774	−	25.0433i	−0.0272471	−	0.833390i
$904$	−6.30676	−	2.04919i	−0.209760	−	0.0681551i
$905$	−17.4381	−	7.67160i	−0.579662	−	0.255013i
$906$	1.52105	−	12.1643i	0.0505337	−	0.404131i
$907$	−28.9644	+	28.9644i	−0.961746	+	0.961746i	−0.999295	−	0.0375488i	$-0.988045\pi$
$907$	−28.9644	+	28.9644i	−0.961746	+	0.961746i	0.0375488	+	0.999295i	$0.488045\pi$
$908$	−19.4421	−	9.90627i	−0.645210	−	0.328751i
$909$	0.693209	+	10.5901i	0.0229923	+	0.351250i
$910$	−7.79053	+	0.442883i	−0.258254	+	0.0146814i
$911$	0.920803	+	1.26738i	0.0305076	+	0.0419901i	0.823998	−	0.566592i	$-0.191739\pi$
$911$	0.920803	+	1.26738i	0.0305076	+	0.0419901i	−0.793491	+	0.608582i	$0.791739\pi$
$912$	2.05034	−	7.09082i	0.0678934	−	0.234800i
$913$	3.33523	+	21.0578i	0.110380	+	0.696912i
$914$	−8.32838	+	6.05092i	−0.275478	+	0.200147i
$915$	−38.9180	−	2.63523i	−1.28659	−	0.0871180i
$916$	12.0369	+	8.74529i	0.397709	+	0.288952i
$917$	−8.08095	+	15.8597i	−0.266856	+	0.523735i
$918$	−27.3982	−	16.0630i	−0.904275	−	0.530159i
$919$	32.7370	−	10.6369i	1.07989	−	0.350879i	0.285560	−	0.958361i	$-0.407820\pi$
$919$	32.7370	−	10.6369i	1.07989	−	0.350879i	0.794333	+	0.607482i	$0.207820\pi$
$920$	2.44228	+	11.2450i	0.0805197	+	0.370736i
$921$	−0.193462	−	0.181213i	−0.00637481	−	0.00597116i
$922$	−9.14806	−	17.9541i	−0.301275	−	0.591286i
$923$	2.20061	−	13.8941i	0.0724339	−	0.457330i
$924$	−3.10008	+	6.60972i	−0.101985	+	0.217444i
$925$	4.45332	+	16.0501i	0.146424	+	0.527724i
$926$		−	0.119086i		−	0.00391341i
$927$	42.4956	−	25.2774i	1.39574	−	0.830218i
$928$	6.83591	−	3.48307i	0.224400	−	0.114337i
$929$	−3.37519	+	10.3878i	−0.110736	+	0.340811i	−0.991034	−	0.133611i	$-0.957343\pi$
$929$	−3.37519	+	10.3878i	−0.110736	+	0.340811i	0.880298	+	0.474422i	$0.157343\pi$
$930$	11.9426	−	19.9754i	0.391612	−	0.655018i
$931$	−6.10847	−	18.7999i	−0.200197	−	0.616143i
$932$	−7.07160	−	7.07160i	−0.231638	−	0.231638i
$933$	22.4256	−	17.4406i	0.734180	−	0.570980i
$934$	−10.1487	+	13.9685i	−0.332075	+	0.457062i
$935$	−20.2777	+	31.5296i	−0.663151	+	1.03113i
$936$	1.67749	−	6.60280i	0.0548305	−	0.215819i
$937$	24.5644	−	3.89063i	0.802485	−	0.127101i	0.258298	−	0.966065i	$-0.416838\pi$
$937$	24.5644	−	3.89063i	0.802485	−	0.127101i	0.544187	+	0.838964i	$0.316838\pi$
$938$	−9.00529	+	1.42630i	−0.294033	+	0.0465703i
$939$	39.6679	−	7.61915i	1.29451	−	0.248642i
$940$	2.92120	−	4.54215i	0.0952789	−	0.148149i
$941$	−15.4350	+	21.2444i	−0.503166	+	0.692548i	−0.982748	−	0.184949i	$-0.940788\pi$
$941$	−15.4350	+	21.2444i	−0.503166	+	0.692548i	0.479583	+	0.877497i	$0.340788\pi$
$942$	−4.64691	−	5.97512i	−0.151405	−	0.194680i
$943$	−33.2087	−	33.2087i	−1.08142	−	1.08142i
$944$	2.24201	+	6.90021i	0.0729714	+	0.224583i
$945$	17.6414	−	2.75356i	0.573876	−	0.0895734i
$946$	7.97915	−	24.5573i	0.259425	−	0.798427i
$947$	−37.3987	+	19.0556i	−1.21529	+	0.619223i	−0.939683	−	0.342047i	$-0.888880\pi$
$947$	−37.3987	+	19.0556i	−1.21529	+	0.619223i	−0.275610	+	0.961270i	$0.588880\pi$
$948$	−6.19997	+	9.14789i	−0.201366	+	0.297110i
$949$			23.6115i			0.766461i
$950$	5.69696	+	20.5323i	0.184834	+	0.666155i
$951$	−11.2276	−	5.26594i	−0.364080	−	0.170760i
$952$	−1.46934	+	9.27703i	−0.0476215	+	0.300670i
$953$	−9.66565	−	18.9699i	−0.313101	−	0.614496i	0.679805	−	0.733393i	$-0.262064\pi$
$953$	−9.66565	−	18.9699i	−0.313101	−	0.614496i	−0.992907	+	0.118897i	$0.962064\pi$
$954$	−0.488240	−	1.22408i	−0.0158074	−	0.0396312i
$955$	−4.16020	−	19.1547i	−0.134621	−	0.619833i
$956$	6.37898	−	2.07266i	0.206311	−	0.0670345i
$957$	−12.3899	−	34.2781i	−0.400510	−	1.10805i
$958$	9.76750	−	19.1698i	0.315574	−	0.619348i
$959$	−9.12374	−	6.62879i	−0.294621	−	0.214055i
$960$	−0.261650	+	3.86414i	−0.00844471	+	0.124714i
$961$	−4.13355	+	3.00320i	−0.133340	+	0.0968775i
$962$	−1.18341	−	7.47174i	−0.0381546	−	0.240899i
$963$	−4.23316	−	3.71302i	−0.136412	−	0.119650i
$964$	5.61740	+	7.73169i	0.180924	+	0.249021i
$965$	53.1033	−	3.01887i	1.70946	−	0.0971808i
$966$	11.9947	−	6.61395i	0.385923	−	0.212800i
$967$	−2.98519	−	1.52103i	−0.0959973	−	0.0489130i	0.405333	−	0.914169i	$-0.367156\pi$
$967$	−2.98519	−	1.52103i	−0.0959973	−	0.0489130i	−0.501330	+	0.865256i	$0.667156\pi$
$968$	2.45838	−	2.45838i	0.0790154	−	0.0790154i
$969$	−44.7671	−	5.59779i	−1.43813	−	0.179827i
$970$	24.8441	+	10.9297i	0.797696	+	0.350933i
$971$	−20.1061	−	6.53286i	−0.645234	−	0.209649i	−0.0319227	−	0.999490i	$-0.510163\pi$
$971$	−20.1061	−	6.53286i	−0.645234	−	0.209649i	−0.613312	+	0.789841i	$0.710163\pi$
$972$	−2.34101	+	15.4117i	−0.0750879	+	0.494330i
$973$	13.2322	+	2.09577i	0.424204	+	0.0671874i
$974$	2.61984			0.0839451
$975$	5.87443	+	18.7683i	0.188132	+	0.601066i
$976$	−10.0716			−0.322384
$977$	0.151463	+	0.0239894i	0.00484574	+	0.000767489i	0.158857	−	0.987302i	$-0.449219\pi$
$977$	0.151463	+	0.0239894i	0.00484574	+	0.000767489i	−0.154011	+	0.988069i	$0.549219\pi$
$978$	13.1903	−	0.431248i	0.421780	−	0.0137898i
$979$	26.2007	+	8.51312i	0.837377	+	0.272080i
$980$	5.22572	+	8.95937i	0.166930	+	0.286197i
$981$	−29.0628	+	46.0531i	−0.927904	+	1.47036i
$982$	−5.39477	+	5.39477i	−0.172154	+	0.172154i
$983$	27.8680	+	14.1994i	0.888850	+	0.452892i	0.837909	−	0.545810i	$-0.183778\pi$
$983$	27.8680	+	14.1994i	0.888850	+	0.452892i	0.0509408	+	0.998702i	$0.483778\pi$
$984$	−7.63255	−	13.8420i	−0.243317	−	0.441267i
$985$	3.99205	−	15.1668i	0.127197	−	0.483256i
$986$	−27.5632	−	37.9374i	−0.877790	−	1.20817i
$987$	−6.17534	−	1.78562i	−0.196563	−	0.0568370i
$988$	−1.51389	−	9.55830i	−0.0481632	−	0.304090i
$989$	−39.1931	+	28.4754i	−1.24627	+	0.905466i
$990$	18.0616	+	3.51119i	0.574035	+	0.111593i
$991$	−7.72378	−	5.61165i	−0.245354	−	0.178260i	0.458311	−	0.888792i	$-0.348454\pi$
$991$	−7.72378	−	5.61165i	−0.245354	−	0.178260i	−0.703665	+	0.710532i	$0.748454\pi$
$992$	2.72808	−	5.35415i	0.0866165	−	0.169995i
$993$	−26.6806	+	9.64380i	−0.846683	+	0.306037i
$994$	9.05361	−	2.94169i	0.287163	−	0.0933049i
$995$	30.8419	+	27.5238i	0.977753	+	0.872564i
$996$	9.20377	−	9.82593i	0.291633	−	0.311347i
$997$	−16.0041	−	31.4099i	−0.506856	−	0.994761i	−0.992688	−	0.120708i	$-0.961483\pi$
$997$	−16.0041	−	31.4099i	−0.506856	−	0.994761i	0.485832	−	0.874052i	$-0.338517\pi$
$998$	−4.17039	+	26.3308i	−0.132011	+	0.833487i
$999$	4.36848	+	16.7496i	0.138213	+	0.529934i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	150.2.l.a.23.8	yes	80
3.2	odd	2	inner	150.2.l.a.23.2	✓	80
5.2	odd	4		750.2.l.c.407.5		80
5.3	odd	4		750.2.l.a.407.6		80
5.4	even	2		750.2.l.b.593.3		80
15.2	even	4		750.2.l.c.407.7		80
15.8	even	4		750.2.l.a.407.4		80
15.14	odd	2		750.2.l.b.593.9		80
25.9	even	10		750.2.l.a.293.4		80
25.12	odd	20	inner	150.2.l.a.137.2	yes	80
25.13	odd	20		750.2.l.b.707.9		80
25.16	even	5		750.2.l.c.293.7		80
75.38	even	20		750.2.l.b.707.3		80
75.41	odd	10		750.2.l.c.293.5		80
75.59	odd	10		750.2.l.a.293.6		80
75.62	even	20	inner	150.2.l.a.137.8	yes	80

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
150.2.l.a.23.2	✓	80	3.2	odd	2	inner
150.2.l.a.23.8	yes	80	1.1	even	1	trivial
150.2.l.a.137.2	yes	80	25.12	odd	20	inner
150.2.l.a.137.8	yes	80	75.62	even	20	inner
750.2.l.a.293.4		80	25.9	even	10
750.2.l.a.293.6		80	75.59	odd	10
750.2.l.a.407.4		80	15.8	even	4
750.2.l.a.407.6		80	5.3	odd	4
750.2.l.b.593.3		80	5.4	even	2
750.2.l.b.593.9		80	15.14	odd	2
750.2.l.b.707.3		80	75.38	even	20
750.2.l.b.707.9		80	25.13	odd	20
750.2.l.c.293.5		80	75.41	odd	10
750.2.l.c.293.7		80	25.16	even	5
750.2.l.c.407.5		80	5.2	odd	4
750.2.l.c.407.7		80	15.2	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:	\( N \)	\(=\)	\( 150 = 2 \cdot 3 \cdot 5^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	150.l (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.987688 + 0.156434i) q^{2} +(0.0565979 + 1.73113i) q^{3} +(0.951057 + 0.309017i) q^{4} +(1.48885 - 1.66833i) q^{5} +(-0.214907 + 1.71867i) q^{6} +(-1.08662 + 1.08662i) q^{7} +(0.891007 + 0.453990i) q^{8} +(-2.99359 + 0.195956i) q^{9} +O(q^{10})\)	\(q+(0.987688 + 0.156434i) q^{2} +(0.0565979 + 1.73113i) q^{3} +(0.951057 + 0.309017i) q^{4} +(1.48885 - 1.66833i) q^{5} +(-0.214907 + 1.71867i) q^{6} +(-1.08662 + 1.08662i) q^{7} +(0.891007 + 0.453990i) q^{8} +(-2.99359 + 0.195956i) q^{9} +(1.73150 - 1.41488i) q^{10} +(-1.61222 - 2.21903i) q^{11} +(-0.481119 + 1.66389i) q^{12} +(0.355240 + 2.24289i) q^{13} +(-1.24323 + 0.903260i) q^{14} +(2.97236 + 2.48296i) q^{15} +(0.809017 + 0.587785i) q^{16} +(2.77486 - 5.44598i) q^{17} +(-2.98739 - 0.274758i) q^{18} +(-4.05302 + 1.31690i) q^{19} +(1.93152 - 1.12660i) q^{20} +(-1.94258 - 1.81958i) q^{21} +(-1.24524 - 2.44391i) q^{22} +(-0.805034 + 5.08279i) q^{23} +(-0.735486 + 1.56814i) q^{24} +(-0.566658 - 4.96779i) q^{25} +2.27085i q^{26} +(-0.508656 - 5.17120i) q^{27} +(-1.36922 + 0.697655i) q^{28} +(2.37081 - 7.29662i) q^{29} +(2.54734 + 2.91737i) q^{30} +(-1.85692 - 5.71500i) q^{31} +(0.707107 + 0.707107i) q^{32} +(3.75017 - 2.91654i) q^{33} +(3.59264 - 4.94484i) q^{34} +(0.195030 + 3.43066i) q^{35} +(-2.90763 - 0.738706i) q^{36} +(-3.29028 + 0.521129i) q^{37} +(-4.20913 + 0.666660i) q^{38} +(-3.86263 + 0.741908i) q^{39} +(2.08398 - 0.810571i) q^{40} +(-5.36418 + 7.38316i) q^{41} +(-1.63402 - 2.10107i) q^{42} +(6.65663 + 6.65663i) q^{43} +(-0.847593 - 2.60862i) q^{44} +(-4.13009 + 5.28605i) q^{45} +(-1.59025 + 4.89427i) q^{46} +(2.15191 - 1.09645i) q^{47} +(-0.971742 + 1.43378i) q^{48} +4.63850i q^{49} +(0.217452 - 4.99527i) q^{50} +(9.58472 + 4.49541i) q^{51} +(-0.355240 + 2.24289i) q^{52} +(0.199432 + 0.391408i) q^{53} +(0.306560 - 5.18710i) q^{54} +(-6.10242 - 0.614083i) q^{55} +(-1.46150 + 0.474872i) q^{56} +(-2.50912 - 6.94175i) q^{57} +(3.48307 - 6.83591i) q^{58} +(5.86967 + 4.26457i) q^{59} +(2.05960 + 3.27994i) q^{60} +(-8.14808 + 5.91993i) q^{61} +(-0.940031 - 5.93512i) q^{62} +(3.03998 - 3.46584i) q^{63} +(0.587785 + 0.809017i) q^{64} +(4.27079 + 2.74667i) q^{65} +(4.16024 - 2.29398i) q^{66} +(5.28646 + 2.69358i) q^{67} +(4.32195 - 4.32195i) q^{68} +(-8.84451 - 1.10594i) q^{69} +(-0.344046 + 3.41894i) q^{70} +(-5.89152 - 1.91427i) q^{71} +(-2.75627 - 1.18446i) q^{72} +(10.2696 + 1.62655i) q^{73} -3.33129 q^{74} +(8.56779 - 1.26212i) q^{75} -4.26159 q^{76} +(4.16312 + 0.659373i) q^{77} +(-3.93113 + 0.128525i) q^{78} +(6.06800 + 1.97161i) q^{79} +(2.18512 - 0.474585i) q^{80} +(8.92320 - 1.17323i) q^{81} +(-6.45312 + 6.45312i) q^{82} +(-6.92579 - 3.52887i) q^{83} +(-1.28522 - 2.33081i) q^{84} +(-4.95434 - 12.7376i) q^{85} +(5.53335 + 7.61600i) q^{86} +(12.7655 + 3.69121i) q^{87} +(-0.429079 - 2.70910i) q^{88} +(-8.12567 + 5.90364i) q^{89} +(-4.90616 + 4.57489i) q^{90} +(-2.82319 - 2.05117i) q^{91} +(-2.33630 + 4.58525i) q^{92} +(9.78829 - 3.53801i) q^{93} +(2.29694 - 0.746320i) q^{94} +(-3.83730 + 8.72245i) q^{95} +(-1.18407 + 1.26411i) q^{96} +(5.51066 + 10.8153i) q^{97} +(-0.725621 + 4.58139i) q^{98} +(5.26115 + 6.32694i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 80 q + 4 q^{3} + 4 q^{7}+O(q^{10}) \) 80 * q + 4 * q^3 + 4 * q^7	\( 80 q + 4 q^{3} + 4 q^{7} - 4 q^{10} - 4 q^{12} - 8 q^{15} + 20 q^{16} - 8 q^{18} - 40 q^{19} - 36 q^{22} - 104 q^{25} + 4 q^{27} - 16 q^{28} + 12 q^{30} + 4 q^{33} - 40 q^{34} - 24 q^{37} - 40 q^{39} - 8 q^{40} - 4 q^{42} - 24 q^{43} - 72 q^{45} - 4 q^{48} - 12 q^{55} - 64 q^{57} + 20 q^{58} + 24 q^{60} + 64 q^{63} + 96 q^{67} + 140 q^{69} + 76 q^{70} + 8 q^{72} + 100 q^{73} + 132 q^{75} + 100 q^{78} + 80 q^{79} - 40 q^{81} + 96 q^{82} + 60 q^{84} + 32 q^{85} + 80 q^{87} + 4 q^{88} + 52 q^{90} + 12 q^{93} - 32 q^{97}+O(q^{100}) \) 80 * q + 4 * q^3 + 4 * q^7 - 4 * q^10 - 4 * q^12 - 8 * q^15 + 20 * q^16 - 8 * q^18 - 40 * q^19 - 36 * q^22 - 104 * q^25 + 4 * q^27 - 16 * q^28 + 12 * q^30 + 4 * q^33 - 40 * q^34 - 24 * q^37 - 40 * q^39 - 8 * q^40 - 4 * q^42 - 24 * q^43 - 72 * q^45 - 4 * q^48 - 12 * q^55 - 64 * q^57 + 20 * q^58 + 24 * q^60 + 64 * q^63 + 96 * q^67 + 140 * q^69 + 76 * q^70 + 8 * q^72 + 100 * q^73 + 132 * q^75 + 100 * q^78 + 80 * q^79 - 40 * q^81 + 96 * q^82 + 60 * q^84 + 32 * q^85 + 80 * q^87 + 4 * q^88 + 52 * q^90 + 12 * q^93 - 32 * q^97

Introduction

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