LMFDB - Embedded newform 798.2.bp.f.739.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [798,2,Mod(289,798)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(798, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([0, 6, 2]))

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

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

chi := DirichletCharacter("798.289");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 798 = 2 \cdot 3 \cdot 7 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	798.bp (of order $9$, degree $6$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$6.37206208130$
Analytic rank:	$0$
Dimension:	$42$
Relative dimension:	$7$ over $\Q(\zeta_{9})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label			739.4
Character	$\chi$	$=$	798.739
Dual form			798.2.bp.f.541.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.939693 + 0.342020i) q^{2} +(0.939693 - 0.342020i) q^{3} +(0.766044 - 0.642788i) q^{4} +(1.11787 + 0.938007i) q^{5} +(-0.766044 + 0.642788i) q^{6} +(2.49241 + 0.887642i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(0.766044 - 0.642788i) q^{9} +O(q^{10})$	\(q+(-0.939693 + 0.342020i) q^{2} +(0.939693 - 0.342020i) q^{3} +(0.766044 - 0.642788i) q^{4} +(1.11787 + 0.938007i) q^{5} +(-0.766044 + 0.642788i) q^{6} +(2.49241 + 0.887642i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(0.766044 - 0.642788i) q^{9} +(-1.37128 - 0.499103i) q^{10} +(1.49152 + 2.58339i) q^{11} +(0.500000 - 0.866025i) q^{12} +(-2.31976 + 1.94651i) q^{13} +(-2.64569 + 0.0183426i) q^{14} +(1.37128 + 0.499103i) q^{15} +(0.173648 - 0.984808i) q^{16} +(3.93779 + 3.30420i) q^{17} +(-0.500000 + 0.866025i) q^{18} +(-4.32412 + 0.549556i) q^{19} +1.45928 q^{20} +(2.64569 - 0.0183426i) q^{21} +(-2.28514 - 1.91746i) q^{22} +(0.0247520 + 0.140376i) q^{23} +(-0.173648 + 0.984808i) q^{24} +(-0.498457 - 2.82689i) q^{25} +(1.51411 - 2.62252i) q^{26} +(0.500000 - 0.866025i) q^{27} +(2.47986 - 0.922115i) q^{28} +(0.880103 + 4.99131i) q^{29} -1.45928 q^{30} -1.92624 q^{31} +(0.173648 + 0.984808i) q^{32} +(2.28514 + 1.91746i) q^{33} +(-4.83042 - 1.75813i) q^{34} +(1.95358 + 3.33017i) q^{35} +(0.173648 - 0.984808i) q^{36} +(-3.75991 - 6.51235i) q^{37} +(3.87538 - 1.99535i) q^{38} +(-1.51411 + 2.62252i) q^{39} +(-1.37128 + 0.499103i) q^{40} +(-2.72366 - 2.28542i) q^{41} +(-2.47986 + 0.922115i) q^{42} +(6.64550 - 2.41876i) q^{43} +(2.80314 + 1.02026i) q^{44} +1.45928 q^{45} +(-0.0712706 - 0.123444i) q^{46} +(-0.0813938 + 0.0682975i) q^{47} +(-0.173648 - 0.984808i) q^{48} +(5.42418 + 4.42473i) q^{49} +(1.43525 + 2.48593i) q^{50} +(4.83042 + 1.75813i) q^{51} +(-0.525846 + 2.98222i) q^{52} +(-2.14005 + 1.79572i) q^{53} +(-0.173648 + 0.984808i) q^{54} +(-0.755906 + 4.28696i) q^{55} +(-2.01492 + 1.71467i) q^{56} +(-3.87538 + 1.99535i) q^{57} +(-2.53416 - 4.38929i) q^{58} +(3.09976 + 2.60101i) q^{59} +(1.37128 - 0.499103i) q^{60} +(-0.0524543 - 0.297483i) q^{61} +(1.81007 - 0.658813i) q^{62} +(2.47986 - 0.922115i) q^{63} +(-0.500000 - 0.866025i) q^{64} -4.41903 q^{65} +(-2.80314 - 1.02026i) q^{66} +(-3.70044 - 1.34685i) q^{67} +5.14043 q^{68} +(0.0712706 + 0.123444i) q^{69} +(-2.97475 - 2.46117i) q^{70} +(15.0704 - 5.48517i) q^{71} +(0.173648 + 0.984808i) q^{72} +(8.84643 - 3.21984i) q^{73} +(5.76051 + 4.83364i) q^{74} +(-1.43525 - 2.48593i) q^{75} +(-2.95922 + 3.20047i) q^{76} +(1.42435 + 7.76279i) q^{77} +(0.525846 - 2.98222i) q^{78} +(-0.367615 + 2.08485i) q^{79} +(1.11787 - 0.938007i) q^{80} +(0.173648 - 0.984808i) q^{81} +(3.34106 + 1.21605i) q^{82} +(-2.33671 - 4.04731i) q^{83} +(2.01492 - 1.71467i) q^{84} +(1.30259 + 7.38736i) q^{85} +(-5.41746 + 4.54579i) q^{86} +(2.53416 + 4.38929i) q^{87} -2.98304 q^{88} +(4.82797 + 1.75724i) q^{89} +(-1.37128 + 0.499103i) q^{90} +(-7.50957 + 2.79237i) q^{91} +(0.109193 + 0.0916238i) q^{92} +(-1.81007 + 0.658813i) q^{93} +(0.0531260 - 0.0920170i) q^{94} +(-5.34930 - 3.44172i) q^{95} +(0.500000 + 0.866025i) q^{96} +(0.143942 - 0.816333i) q^{97} +(-6.61041 - 2.30271i) q^{98} +(2.80314 + 1.02026i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 42 q + 6 q^{5} - 21 q^{8}+O(q^{10}) $ 42 * q + 6 * q^5 - 21 * q^8	$ 42 q + 6 q^{5} - 21 q^{8} - 3 q^{10} - 9 q^{11} + 21 q^{12} - 24 q^{13} - 3 q^{14} + 3 q^{15} - 21 q^{18} + 18 q^{19} - 6 q^{20} + 3 q^{21} - 3 q^{22} + 15 q^{23} - 18 q^{25} + 9 q^{26} + 21 q^{27} - 12 q^{28} + 9 q^{29} + 6 q^{30} - 6 q^{31} + 3 q^{33} + 9 q^{34} + 12 q^{35} - 15 q^{37} + 9 q^{38} - 9 q^{39} - 3 q^{40} + 3 q^{41} + 12 q^{42} + 6 q^{44} - 6 q^{45} - 18 q^{46} + 15 q^{47} - 30 q^{50} - 9 q^{51} + 21 q^{52} + 12 q^{53} - 15 q^{55} - 9 q^{57} - 18 q^{58} + 6 q^{59} + 3 q^{60} - 3 q^{61} + 6 q^{62} - 12 q^{63} - 21 q^{64} + 72 q^{65} - 6 q^{66} + 3 q^{67} - 36 q^{68} + 18 q^{69} - 6 q^{70} + 12 q^{71} + 9 q^{73} + 12 q^{74} + 30 q^{75} + 51 q^{77} - 21 q^{78} - 51 q^{79} + 6 q^{80} + 12 q^{82} + 24 q^{83} - 6 q^{85} + 9 q^{86} + 18 q^{87} + 18 q^{88} + 12 q^{89} - 3 q^{90} + 6 q^{92} - 6 q^{93} + 30 q^{94} - 21 q^{95} + 21 q^{96} - 27 q^{97} + 36 q^{98} + 6 q^{99}+O(q^{100}) $ 42 * q + 6 * q^5 - 21 * q^8 - 3 * q^10 - 9 * q^11 + 21 * q^12 - 24 * q^13 - 3 * q^14 + 3 * q^15 - 21 * q^18 + 18 * q^19 - 6 * q^20 + 3 * q^21 - 3 * q^22 + 15 * q^23 - 18 * q^25 + 9 * q^26 + 21 * q^27 - 12 * q^28 + 9 * q^29 + 6 * q^30 - 6 * q^31 + 3 * q^33 + 9 * q^34 + 12 * q^35 - 15 * q^37 + 9 * q^38 - 9 * q^39 - 3 * q^40 + 3 * q^41 + 12 * q^42 + 6 * q^44 - 6 * q^45 - 18 * q^46 + 15 * q^47 - 30 * q^50 - 9 * q^51 + 21 * q^52 + 12 * q^53 - 15 * q^55 - 9 * q^57 - 18 * q^58 + 6 * q^59 + 3 * q^60 - 3 * q^61 + 6 * q^62 - 12 * q^63 - 21 * q^64 + 72 * q^65 - 6 * q^66 + 3 * q^67 - 36 * q^68 + 18 * q^69 - 6 * q^70 + 12 * q^71 + 9 * q^73 + 12 * q^74 + 30 * q^75 + 51 * q^77 - 21 * q^78 - 51 * q^79 + 6 * q^80 + 12 * q^82 + 24 * q^83 - 6 * q^85 + 9 * q^86 + 18 * q^87 + 18 * q^88 + 12 * q^89 - 3 * q^90 + 6 * q^92 - 6 * q^93 + 30 * q^94 - 21 * q^95 + 21 * q^96 - 27 * q^97 + 36 * q^98 + 6 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/798\mathbb{Z}\right)^\times$.

$n$	$115$	$211$	$533$
$\chi(n)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{5}{9}\right)$	$1$

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 $

$2$	−0.939693	+	0.342020i	−0.664463	+	0.241845i
$2$	−0.939693	+	0.342020i	−0.664463	+	0.241845i
$3$	0.939693	−	0.342020i	0.542532	−	0.197465i
$3$	0.939693	−	0.342020i	0.542532	−	0.197465i
$4$	0.766044	−	0.642788i	0.383022	−	0.321394i
$5$	1.11787	+	0.938007i	0.499928	+	0.419490i	0.857568	−	0.514370i	$-0.171974\pi$
$5$	1.11787	+	0.938007i	0.499928	+	0.419490i	−0.357640	+	0.933859i	$0.616419\pi$
$6$	−0.766044	+	0.642788i	−0.312736	+	0.262417i
$7$	2.49241	+	0.887642i	0.942041	+	0.335497i
$7$	2.49241	+	0.887642i	0.942041	+	0.335497i
$8$	−0.500000	+	0.866025i	−0.176777	+	0.306186i
$9$	0.766044	−	0.642788i	0.255348	−	0.214263i
$10$	−1.37128	−	0.499103i	−0.433635	−	0.157830i
$11$	1.49152	+	2.58339i	0.449710	+	0.778921i	0.998367	−	0.0571270i	$-0.0181940\pi$
$11$	1.49152	+	2.58339i	0.449710	+	0.778921i	−0.548657	+	0.836048i	$0.684861\pi$
$12$	0.500000	−	0.866025i	0.144338	−	0.250000i
$13$	−2.31976	+	1.94651i	−0.643384	+	0.539864i	−0.905055	−	0.425293i	$-0.860171\pi$
$13$	−2.31976	+	1.94651i	−0.643384	+	0.539864i	0.261671	+	0.965157i	$0.415726\pi$
$14$	−2.64569	+	0.0183426i	−0.707090	+	0.00490226i
$15$	1.37128	+	0.499103i	0.354062	+	0.128868i
$16$	0.173648	−	0.984808i	0.0434120	−	0.246202i
$17$	3.93779	+	3.30420i	0.955055	+	0.801387i	0.980142	−	0.198299i	$-0.0635416\pi$
$17$	3.93779	+	3.30420i	0.955055	+	0.801387i	−0.0250862	+	0.999685i	$0.507986\pi$
$18$	−0.500000	+	0.866025i	−0.117851	+	0.204124i
$19$	−4.32412	+	0.549556i	−0.992020	+	0.126077i
$19$	−4.32412	+	0.549556i	−0.992020	+	0.126077i
$20$	1.45928			0.326305
$21$	2.64569	−	0.0183426i	0.577336	−	0.00400268i
$22$	−2.28514	−	1.91746i	−0.487194	−	0.408804i
$23$	0.0247520	+	0.140376i	0.00516115	+	0.0292704i	0.987280	−	0.158994i	$-0.0508250\pi$
$23$	0.0247520	+	0.140376i	0.00516115	+	0.0292704i	−0.982118	+	0.188264i	$0.939714\pi$
$24$	−0.173648	+	0.984808i	−0.0354458	+	0.201023i
$25$	−0.498457	−	2.82689i	−0.0996914	−	0.565378i
$26$	1.51411	−	2.62252i	0.296942	−	0.514319i
$27$	0.500000	−	0.866025i	0.0962250	−	0.166667i
$28$	2.47986	−	0.922115i	0.468649	−	0.174263i
$29$	0.880103	+	4.99131i	0.163431	+	0.926863i	0.950667	+	0.310212i	$0.100400\pi$
$29$	0.880103	+	4.99131i	0.163431	+	0.926863i	−0.787236	+	0.616651i	$0.788489\pi$
$30$	−1.45928			−0.266427
$31$	−1.92624			−0.345963			−0.172981	−	0.984925i	$-0.555340\pi$
$31$	−1.92624			−0.345963			−0.172981	+	0.984925i	$0.555340\pi$
$32$	0.173648	+	0.984808i	0.0306970	+	0.174091i
$33$	2.28514	+	1.91746i	0.397792	+	0.333787i
$34$	−4.83042	−	1.75813i	−0.828410	−	0.301517i
$35$	1.95358	+	3.33017i	0.330215	+	0.562901i
$36$	0.173648	−	0.984808i	0.0289414	−	0.164135i
$37$	−3.75991	−	6.51235i	−0.618125	−	1.07062i	−0.989828	−	0.142272i	$-0.954559\pi$
$37$	−3.75991	−	6.51235i	−0.618125	−	1.07062i	0.371703	−	0.928352i	$-0.378774\pi$
$38$	3.87538	−	1.99535i	0.628670	−	0.323688i
$39$	−1.51411	+	2.62252i	−0.242452	+	0.419939i
$40$	−1.37128	+	0.499103i	−0.216818	+	0.0789152i
$41$	−2.72366	−	2.28542i	−0.425364	−	0.356923i	0.404835	−	0.914390i	$-0.367329\pi$
$41$	−2.72366	−	2.28542i	−0.425364	−	0.356923i	−0.830199	+	0.557467i	$0.811773\pi$
$42$	−2.47986	+	0.922115i	−0.382651	+	0.142285i
$43$	6.64550	−	2.41876i	1.01343	−	0.368858i	0.218681	−	0.975796i	$-0.429825\pi$
$43$	6.64550	−	2.41876i	1.01343	−	0.368858i	0.794749	+	0.606938i	$0.207603\pi$
$44$	2.80314	+	1.02026i	0.422589	+	0.153810i
$45$	1.45928			0.217537
$46$	−0.0712706	−	0.123444i	−0.0105083	−	0.0182009i
$47$	−0.0813938	+	0.0682975i	−0.0118725	+	0.00996222i	−0.648705	−	0.761040i	$-0.724689\pi$
$47$	−0.0813938	+	0.0682975i	−0.0118725	+	0.00996222i	0.636832	+	0.771003i	$0.280244\pi$
$48$	−0.173648	−	0.984808i	−0.0250640	−	0.142145i
$49$	5.42418	+	4.42473i	0.774883	+	0.632104i
$50$	1.43525	+	2.48593i	0.202975	+	0.351563i
$51$	4.83042	+	1.75813i	0.676394	+	0.246187i
$52$	−0.525846	+	2.98222i	−0.0729217	+	0.413560i
$53$	−2.14005	+	1.79572i	−0.293959	+	0.246661i	−0.777825	−	0.628481i	$-0.783677\pi$
$53$	−2.14005	+	1.79572i	−0.293959	+	0.246661i	0.483866	+	0.875142i	$0.339232\pi$
$54$	−0.173648	+	0.984808i	−0.0236305	+	0.134015i
$55$	−0.755906	+	4.28696i	−0.101926	+	0.578053i
$56$	−2.01492	+	1.71467i	−0.269256	+	0.229132i
$57$	−3.87538	+	1.99535i	−0.513307	+	0.264290i
$58$	−2.53416	−	4.38929i	−0.332751	−	0.576341i
$59$	3.09976	+	2.60101i	0.403555	+	0.338623i	0.821866	−	0.569681i	$-0.192933\pi$
$59$	3.09976	+	2.60101i	0.403555	+	0.338623i	−0.418311	+	0.908304i	$0.637378\pi$
$60$	1.37128	−	0.499103i	0.177031	−	0.0644340i
$61$	−0.0524543	−	0.297483i	−0.00671608	−	0.0380888i	0.981266	−	0.192660i	$-0.0617115\pi$
$61$	−0.0524543	−	0.297483i	−0.00671608	−	0.0380888i	−0.987982	+	0.154571i	$0.950600\pi$
$62$	1.81007	−	0.658813i	0.229880	−	0.0836693i
$63$	2.47986	−	0.922115i	0.312433	−	0.116176i
$64$	−0.500000	−	0.866025i	−0.0625000	−	0.108253i
$65$	−4.41903			−0.548113
$66$	−2.80314	−	1.02026i	−0.345043	−	0.125585i
$67$	−3.70044	−	1.34685i	−0.452081	−	0.164544i	0.105937	−	0.994373i	$-0.466216\pi$
$67$	−3.70044	−	1.34685i	−0.452081	−	0.164544i	−0.558018	+	0.829829i	$0.688438\pi$
$68$	5.14043			0.623368
$69$	0.0712706	+	0.123444i	0.00857998	+	0.0148610i
$70$	−2.97475	−	2.46117i	−0.355551	−	0.294166i
$71$	15.0704	−	5.48517i	1.78853	−	0.650970i	0.789204	−	0.614131i	$-0.210493\pi$
$71$	15.0704	−	5.48517i	1.78853	−	0.650970i	0.999321	−	0.0368394i	$-0.0117290\pi$
$72$	0.173648	+	0.984808i	0.0204646	+	0.116061i
$73$	8.84643	−	3.21984i	1.03540	−	0.376853i	0.232263	−	0.972653i	$-0.425387\pi$
$73$	8.84643	−	3.21984i	1.03540	−	0.376853i	0.803133	+	0.595800i	$0.203165\pi$
$74$	5.76051	+	4.83364i	0.669646	+	0.561900i
$75$	−1.43525	−	2.48593i	−0.165728	−	0.287050i
$76$	−2.95922	+	3.20047i	−0.339446	+	0.367119i
$77$	1.42435	+	7.76279i	0.162320	+	0.884652i
$78$	0.525846	−	2.98222i	0.0595403	−	0.337670i
$79$	−0.367615	+	2.08485i	−0.0413599	+	0.234564i	−0.998479	−	0.0551306i	$-0.982442\pi$
$79$	−0.367615	+	2.08485i	−0.0413599	+	0.234564i	0.957119	+	0.289694i	$0.0935536\pi$
$80$	1.11787	−	0.938007i	0.124982	−	0.104872i
$81$	0.173648	−	0.984808i	0.0192942	−	0.109423i
$82$	3.34106	+	1.21605i	0.368958	+	0.134290i
$83$	−2.33671	−	4.04731i	−0.256488	−	0.444250i	0.708811	−	0.705399i	$-0.249232\pi$
$83$	−2.33671	−	4.04731i	−0.256488	−	0.444250i	−0.965299	+	0.261149i	$0.915899\pi$
$84$	2.01492	−	1.71467i	0.219846	−	0.187085i
$85$	1.30259	+	7.38736i	0.141286	+	0.801272i
$86$	−5.41746	+	4.54579i	−0.584180	+	0.490185i
$87$	2.53416	+	4.38929i	0.271690	+	0.470581i
$88$	−2.98304			−0.317993
$89$	4.82797	+	1.75724i	0.511764	+	0.186267i	0.584978	−	0.811049i	$-0.301103\pi$
$89$	4.82797	+	1.75724i	0.511764	+	0.186267i	−0.0732136	+	0.997316i	$0.523325\pi$
$90$	−1.37128	+	0.499103i	−0.144545	+	0.0526101i
$91$	−7.50957	+	2.79237i	−0.787217	+	0.292720i
$92$	0.109193	+	0.0916238i	0.0113842	+	0.00955244i
$93$	−1.81007	+	0.658813i	−0.187696	+	0.0683157i
$94$	0.0531260	−	0.0920170i	0.00547953	−	0.00949083i
$95$	−5.34930	−	3.44172i	−0.548827	−	0.353113i
$96$	0.500000	+	0.866025i	0.0510310	+	0.0883883i
$97$	0.143942	−	0.816333i	0.0146150	−	0.0828860i	−0.976628	−	0.214937i	$-0.931045\pi$
$97$	0.143942	−	0.816333i	0.0146150	−	0.0828860i	0.991243	+	0.132051i	$0.0421564\pi$
$98$	−6.61041	−	2.30271i	−0.667752	−	0.232608i
$99$	2.80314	+	1.02026i	0.281726	+	0.102540i
$100$	−2.19893	−	1.84512i	−0.219893	−	0.184512i
$101$	−0.0956416	−	0.542411i	−0.00951670	−	0.0539719i	0.979680	−	0.200569i	$-0.0642791\pi$
$101$	−0.0956416	−	0.542411i	−0.00951670	−	0.0539719i	−0.989196	+	0.146597i	$0.953168\pi$
$102$	−5.14043			−0.508978
$103$	−2.57199			−0.253426			−0.126713	−	0.991939i	$-0.540443\pi$
$103$	−2.57199			−0.253426			−0.126713	+	0.991939i	$0.540443\pi$
$104$	−0.525846	−	2.98222i	−0.0515634	−	0.292431i
$105$	2.97475	+	2.46117i	0.290306	+	0.240186i
$106$	1.39682	−	2.41937i	0.135671	−	0.234990i
$107$	−9.65419	+	16.7215i	−0.933305	+	1.61653i	−0.155677	+	0.987808i	$0.549756\pi$
$107$	−9.65419	+	16.7215i	−0.933305	+	1.61653i	−0.777628	+	0.628724i	$0.783577\pi$
$108$	−0.173648	−	0.984808i	−0.0167093	−	0.0947632i
$109$	1.00622	−	5.70658i	0.0963787	−	0.546591i	−0.897937	−	0.440123i	$-0.854935\pi$
$109$	1.00622	−	5.70658i	0.0963787	−	0.546591i	0.994316	−	0.106468i	$-0.0339541\pi$
$110$	−0.755906	−	4.28696i	−0.0720728	−	0.408745i
$111$	−5.76051	−	4.83364i	−0.546763	−	0.458789i
$112$	1.30696	−	2.30040i	0.123496	−	0.217368i
$113$	2.94354			0.276905			0.138453	−	0.990369i	$-0.455787\pi$
$113$	2.94354			0.276905			0.138453	+	0.990369i	$0.455787\pi$
$114$	2.95922	−	3.20047i	0.277156	−	0.299752i
$115$	−0.104004	+	0.180140i	−0.00969841	+	0.0167981i
$116$	3.88255	+	3.25785i	0.360486	+	0.302483i
$117$	−0.525846	+	2.98222i	−0.0486145	+	0.275706i
$118$	−3.80242	−	1.38397i	−0.350041	−	0.127405i
$119$	6.88164	+	11.7308i	0.630839	+	1.07536i
$120$	−1.11787	+	0.938007i	−0.102047	+	0.0856280i
$121$	1.05074	−	1.81994i	0.0955218	−	0.165449i
$122$	0.151036	+	0.261602i	0.0136742	+	0.0236843i
$123$	−3.34106	−	1.21605i	−0.301253	−	0.109647i
$124$	−1.47559	+	1.23816i	−0.132511	+	0.111190i
$125$	5.74263	−	9.94653i	0.513637	−	0.889645i
$126$	−2.01492	+	1.71467i	−0.179504	+	0.152755i
$127$	−6.72458	+	5.64259i	−0.596710	+	0.500699i	−0.890386	−	0.455206i	$-0.849566\pi$
$127$	−6.72458	+	5.64259i	−0.596710	+	0.500699i	0.293676	+	0.955905i	$0.405121\pi$
$128$	0.766044	+	0.642788i	0.0677094	+	0.0568149i
$129$	5.41746	−	4.54579i	0.476981	−	0.400235i
$130$	4.15253	−	1.51140i	0.364201	−	0.132558i
$131$	−3.90405	+	1.42096i	−0.341099	+	0.124150i	−0.506889	−	0.862011i	$-0.669205\pi$
$131$	−3.90405	+	1.42096i	−0.341099	+	0.124150i	0.165790	+	0.986161i	$0.446982\pi$
$132$	2.98304			0.259640
$133$	−11.2653	−	2.46855i	−0.976823	−	0.214051i
$134$	3.93793			0.340185
$135$	1.37128	−	0.499103i	0.118021	−	0.0429560i
$136$	−4.83042	+	1.75813i	−0.414205	+	0.150758i
$137$	12.7183	−	10.6719i	1.08660	−	0.911762i	0.0901442	−	0.995929i	$-0.471267\pi$
$137$	12.7183	−	10.6719i	1.08660	−	0.911762i	0.996452	+	0.0841665i	$0.0268228\pi$
$138$	−0.109193	−	0.0916238i	−0.00929512	−	0.00779953i
$139$	−1.51772	+	1.27352i	−0.128731	+	0.108019i	−0.704880	−	0.709326i	$-0.748999\pi$
$139$	−1.51772	+	1.27352i	−0.128731	+	0.108019i	0.576149	+	0.817345i	$0.304555\pi$
$140$	3.63712	+	1.29532i	0.307393	+	0.109474i
$141$	−0.0531260	+	0.0920170i	−0.00447402	+	0.00774923i
$142$	−12.2855	+	10.3087i	−1.03098	+	0.865091i
$143$	−8.48854	−	3.08958i	−0.709847	−	0.258363i
$144$	−0.500000	−	0.866025i	−0.0416667	−	0.0721688i
$145$	−3.69804	+	6.40520i	−0.307106	+	0.531923i
$146$	−7.21167	+	6.05131i	−0.596842	+	0.500810i
$147$	6.61041	+	2.30271i	0.545218	+	0.189924i
$148$	−7.06631	−	2.57193i	−0.580847	−	0.211411i
$149$	−1.08560	+	6.15673i	−0.0889356	+	0.504379i	0.907502	+	0.420047i	$0.137987\pi$
$149$	−1.08560	+	6.15673i	−0.0889356	+	0.504379i	−0.996438	+	0.0843314i	$0.973125\pi$
$150$	2.19893	+	1.84512i	0.179542	+	0.150654i
$151$	8.52367	−	14.7634i	0.693646	−	1.20143i	−0.276989	−	0.960873i	$-0.589336\pi$
$151$	8.52367	−	14.7634i	0.693646	−	1.20143i	0.970635	−	0.240557i	$-0.0773302\pi$
$152$	1.68613	−	4.01957i	0.136763	−	0.326030i
$153$	5.14043			0.415579
$154$	−3.99348	−	6.80748i	−0.321804	−	0.548562i
$155$	−2.15329	−	1.80683i	−0.172957	−	0.145128i
$156$	0.525846	+	2.98222i	0.0421014	+	0.238769i
$157$	3.17167	−	17.9874i	0.253127	−	1.43555i	−0.547708	−	0.836670i	$-0.684500\pi$
$157$	3.17167	−	17.9874i	0.253127	−	1.43555i	0.800835	−	0.598885i	$-0.204389\pi$
$158$	−0.367615	−	2.08485i	−0.0292459	−	0.165862i
$159$	−1.39682	+	2.41937i	−0.110775	+	0.191868i
$160$	−0.729640	+	1.26377i	−0.0576831	+	0.0999101i
$161$	−0.0629113	+	0.371844i	−0.00495810	+	0.0293054i
$162$	0.173648	+	0.984808i	0.0136431	+	0.0773738i
$163$	−17.4528			−1.36701			−0.683505	−	0.729946i	$-0.739545\pi$
$163$	−17.4528			−1.36701			−0.683505	+	0.729946i	$0.739545\pi$
$164$	−3.55548			−0.277637
$165$	0.755906	+	4.28696i	0.0588472	+	0.333739i
$166$	3.58005	+	3.00402i	0.277866	+	0.233157i
$167$	−7.76021	−	2.82448i	−0.600503	−	0.218565i	0.0238398	−	0.999716i	$-0.492411\pi$
$167$	−7.76021	−	2.82448i	−0.600503	−	0.218565i	−0.624343	+	0.781151i	$0.714633\pi$
$168$	−1.30696	+	2.30040i	−0.100834	+	0.177480i
$169$	−0.665046	+	3.77167i	−0.0511574	+	0.290128i
$170$	−3.75066	−	6.49634i	−0.287663	−	0.498246i
$171$	−2.95922	+	3.20047i	−0.226297	+	0.244746i
$172$	3.53600	−	6.12453i	0.269617	−	0.466991i
$173$	3.48044	−	1.26678i	0.264613	−	0.0963112i	−0.206307	−	0.978487i	$-0.566144\pi$
$173$	3.48044	−	1.26678i	0.264613	−	0.0963112i	0.470919	+	0.882176i	$0.343922\pi$
$174$	−3.88255	−	3.25785i	−0.294335	−	0.246977i
$175$	1.26691	−	7.48821i	0.0957694	−	0.566056i
$176$	2.80314	−	1.02026i	0.211295	−	0.0769049i
$177$	3.80242	+	1.38397i	0.285808	+	0.104025i
$178$	−5.13782			−0.385096
$179$	−8.20633	−	14.2138i	−0.613370	−	1.06239i	−0.990668	−	0.136296i	$-0.956480\pi$
$179$	−8.20633	−	14.2138i	−0.613370	−	1.06239i	0.377298	−	0.926092i	$-0.376853\pi$
$180$	1.11787	−	0.938007i	0.0833214	−	0.0699149i
$181$	−2.93691	−	16.6560i	−0.218299	−	1.23803i	−0.875090	−	0.483961i	$-0.839198\pi$
$181$	−2.93691	−	16.6560i	−0.218299	−	1.23803i	0.656791	−	0.754073i	$-0.271913\pi$
$182$	6.10164	−	5.19240i	0.452284	−	0.384886i
$183$	−0.151036	−	0.261602i	−0.0111649	−	0.0193382i
$184$	−0.133945	−	0.0487520i	−0.00987455	−	0.00359404i
$185$	1.90553	−	10.8068i	0.140097	−	0.794532i
$186$	1.47559	−	1.23816i	0.108195	−	0.0907865i
$187$	−2.66274	+	15.1011i	−0.194719	+	1.10430i
$188$	−0.0184505	+	0.104638i	−0.00134564	+	0.00763150i
$189$	2.01492	−	1.71467i	0.146564	−	0.124724i
$190$	6.20384	+	1.40459i	0.450074	+	0.101900i
$191$	−10.6751	−	18.4898i	−0.772423	−	1.33788i	−0.936232	−	0.351384i	$-0.885711\pi$
$191$	−10.6751	−	18.4898i	−0.772423	−	1.33788i	0.163808	−	0.986492i	$-0.447622\pi$
$192$	−0.766044	−	0.642788i	−0.0552845	−	0.0463892i
$193$	12.1418	−	4.41927i	0.873989	−	0.318106i	0.134207	−	0.990953i	$-0.457151\pi$
$193$	12.1418	−	4.41927i	0.873989	−	0.318106i	0.739781	+	0.672847i	$0.234929\pi$
$194$	0.143942	+	0.816333i	0.0103344	+	0.0586093i
$195$	−4.15253	+	1.51140i	−0.297369	+	0.108233i
$196$	6.99933	−	0.0970575i	0.499952	−	0.00693268i
$197$	−6.00373	−	10.3988i	−0.427748	−	0.740881i	0.568925	−	0.822390i	$-0.307360\pi$
$197$	−6.00373	−	10.3988i	−0.427748	−	0.740881i	−0.996673	+	0.0815086i	$0.974026\pi$
$198$	−2.98304			−0.211995
$199$	−5.75586	−	2.09496i	−0.408022	−	0.148508i	0.129852	−	0.991533i	$-0.458550\pi$
$199$	−5.75586	−	2.09496i	−0.408022	−	0.148508i	−0.537873	+	0.843026i	$0.680772\pi$
$200$	2.69739	+	0.981769i	0.190734	+	0.0694215i
$201$	−3.93793			−0.277760
$202$	0.275389	+	0.476988i	0.0193763	+	0.0335608i
$203$	−2.23692	+	13.2216i	−0.157001	+	0.927974i
$204$	4.83042	−	1.75813i	0.338197	−	0.123094i
$205$	−0.900964	−	5.10962i	−0.0629261	−	0.356872i
$206$	2.41688	−	0.879674i	0.168392	−	0.0612898i
$207$	0.109193	+	0.0916238i	0.00758943	+	0.00636829i
$208$	1.51411	+	2.62252i	0.104985	+	0.181839i
$209$	−7.86922	−	10.3512i	−0.544325	−	0.716007i
$210$	−3.63712	−	1.29532i	−0.250985	−	0.0893855i
$211$	4.28772	−	24.3168i	0.295179	−	1.67404i	−0.371297	−	0.928514i	$-0.621087\pi$
$211$	4.28772	−	24.3168i	0.295179	−	1.67404i	0.666476	−	0.745527i	$-0.267802\pi$
$212$	−0.485111	+	2.75120i	−0.0333176	+	0.188953i
$213$	12.2855	−	10.3087i	0.841788	−	0.706344i
$214$	3.35286	−	19.0150i	0.229197	−	1.29984i
$215$	9.69765	+	3.52966i	0.661374	+	0.240721i
$216$	0.500000	+	0.866025i	0.0340207	+	0.0589256i
$217$	−4.80097	−	1.70981i	−0.325911	−	0.116070i
$218$	1.00622	+	5.70658i	0.0681501	+	0.386498i
$219$	7.21167	−	6.05131i	0.487320	−	0.408910i
$220$	2.17655	+	3.76989i	0.146743	+	0.254166i
$221$	−15.5664			−1.04711
$222$	7.06631	+	2.57193i	0.474260	+	0.172616i
$223$	−26.6608	+	9.70376i	−1.78534	+	0.649812i	−0.785835	+	0.618437i	$0.787766\pi$
$223$	−26.6608	+	9.70376i	−1.78534	+	0.649812i	−0.999508	+	0.0313750i	$0.990011\pi$
$224$	−0.441355	+	2.60868i	−0.0294893	+	0.174300i
$225$	−2.19893	−	1.84512i	−0.146595	−	0.123008i
$226$	−2.76602	+	1.00675i	−0.183993	+	0.0669681i
$227$	3.09519	−	5.36103i	0.205435	−	0.355824i	−0.744836	−	0.667247i	$-0.767472\pi$
$227$	3.09519	−	5.36103i	0.205435	−	0.355824i	0.950271	+	0.311423i	$0.100806\pi$
$228$	−1.68613	+	4.01957i	−0.111667	+	0.266203i
$229$	13.6494	+	23.6415i	0.901980	+	1.56227i	0.824921	+	0.565248i	$0.191220\pi$
$229$	13.6494	+	23.6415i	0.901980	+	1.56227i	0.0770591	+	0.997027i	$0.475447\pi$
$230$	0.0361202	−	0.204848i	0.00238169	−	0.0135072i
$231$	3.99348	+	6.80748i	0.262752	+	0.447899i
$232$	−4.76265	−	1.73346i	−0.312684	−	0.113807i
$233$	−5.80931	−	4.87459i	−0.380581	−	0.319345i	0.432350	−	0.901706i	$-0.357685\pi$
$233$	−5.80931	−	4.87459i	−0.380581	−	0.319345i	−0.812930	+	0.582361i	$0.802129\pi$
$234$	−0.525846	−	2.98222i	−0.0343756	−	0.194954i
$235$	−0.155052			−0.0101144
$236$	4.04645			0.263402
$237$	0.367615	+	2.08485i	0.0238791	+	0.135425i
$238$	−10.4788	−	8.66966i	−0.679239	−	0.561970i
$239$	2.44426	−	4.23357i	0.158106	−	0.273847i	−0.776080	−	0.630635i	$-0.782795\pi$
$239$	2.44426	−	4.23357i	0.158106	−	0.273847i	0.934186	+	0.356788i	$0.116128\pi$
$240$	0.729640	−	1.26377i	0.0470981	−	0.0815763i
$241$	1.08821	+	6.17153i	0.0700976	+	0.397543i	0.999588	+	0.0286972i	$0.00913585\pi$
$241$	1.08821	+	6.17153i	0.0700976	+	0.397543i	−0.929491	+	0.368846i	$0.879753\pi$
$242$	−0.364918	+	2.06955i	−0.0234578	+	0.133036i
$243$	−0.173648	−	0.984808i	−0.0111395	−	0.0631754i
$244$	−0.231401	−	0.194168i	−0.0148139	−	0.0124303i
$245$	1.91312	+	10.0342i	0.122225	+	0.641062i
$246$	3.55548			0.226689
$247$	8.96118	−	9.69175i	0.570186	−	0.616672i
$248$	0.963120	−	1.66817i	0.0611582	−	0.105929i
$249$	−3.58005	−	3.00402i	−0.226877	−	0.190372i
$250$	−1.99440	+	11.3108i	−0.126137	+	0.715357i
$251$	−16.2872	−	5.92805i	−1.02804	−	0.374175i	−0.227704	−	0.973730i	$-0.573122\pi$
$251$	−16.2872	−	5.92805i	−1.02804	−	0.374175i	−0.800333	+	0.599555i	$0.795344\pi$
$252$	1.30696	−	2.30040i	0.0823307	−	0.144912i
$253$	−0.325727	+	0.273317i	−0.0204783	+	0.0171833i
$254$	4.38916	−	7.60224i	0.275400	−	0.477007i
$255$	3.75066	+	6.49634i	0.234876	+	0.406816i
$256$	−0.939693	−	0.342020i	−0.0587308	−	0.0213763i
$257$	13.3384	−	11.1922i	0.832026	−	0.698153i	−0.123729	−	0.992316i	$-0.539485\pi$
$257$	13.3384	−	11.1922i	0.832026	−	0.698153i	0.955755	+	0.294163i	$0.0950410\pi$
$258$	−3.53600	+	6.12453i	−0.220142	+	0.381296i
$259$	−3.59058	−	19.5689i	−0.223108	−	1.21595i
$260$	−3.38517	+	2.84050i	−0.209940	+	0.176160i
$261$	3.88255	+	3.25785i	0.240324	+	0.201656i
$262$	3.18261	−	2.67053i	0.196623	−	0.164986i
$263$	−26.4626	+	9.63159i	−1.63175	+	0.593910i	−0.985569	−	0.169272i	$-0.945858\pi$
$263$	−26.4626	+	9.63159i	−1.63175	+	0.593910i	−0.646184	+	0.763182i	$0.723636\pi$
$264$	−2.80314	+	1.02026i	−0.172521	+	0.0627926i
$265$	−4.07671			−0.250430
$266$	11.4302	−	1.53327i	0.700830	−	0.0940107i
$267$	5.13782			0.314429
$268$	−3.70044	+	1.34685i	−0.226041	+	0.0822720i
$269$	−6.71267	+	2.44321i	−0.409279	+	0.148965i	−0.538451	−	0.842657i	$-0.680990\pi$
$269$	−6.71267	+	2.44321i	−0.409279	+	0.148965i	0.129172	+	0.991622i	$0.458768\pi$
$270$	−1.11787	+	0.938007i	−0.0680316	+	0.0570853i
$271$	−1.86341	−	1.56358i	−0.113194	−	0.0949810i	0.584434	−	0.811441i	$-0.301317\pi$
$271$	−1.86341	−	1.56358i	−0.113194	−	0.0949810i	−0.697628	+	0.716460i	$0.745761\pi$
$272$	3.93779	−	3.30420i	0.238764	−	0.200347i
$273$	−6.10164	+	5.19240i	−0.369288	+	0.314258i
$274$	−8.30127	+	14.3782i	−0.501498	+	0.868620i
$275$	6.55950	−	5.50407i	0.395552	−	0.331908i
$276$	0.133945	+	0.0487520i	0.00806254	+	0.00293452i
$277$	−7.84525	−	13.5884i	−0.471376	−	0.816446i	0.528088	−	0.849190i	$-0.322909\pi$
$277$	−7.84525	−	13.5884i	−0.471376	−	0.816446i	−0.999464	+	0.0327431i	$0.989576\pi$
$278$	0.990622	−	1.71581i	0.0594136	−	0.102907i
$279$	−1.47559	+	1.23816i	−0.0883410	+	0.0741269i
$280$	−3.86080	+	0.0267670i	−0.230727	+	0.00159963i
$281$	−0.691806	−	0.251797i	−0.0412697	−	0.0150209i	0.321303	−	0.946977i	$-0.395879\pi$
$281$	−0.691806	−	0.251797i	−0.0412697	−	0.0150209i	−0.362573	+	0.931956i	$0.618101\pi$
$282$	0.0184505	−	0.104638i	0.00109871	−	0.00623109i
$283$	14.4420	+	12.1183i	0.858490	+	0.720359i	0.961642	−	0.274307i	$-0.0884484\pi$
$283$	14.4420	+	12.1183i	0.858490	+	0.720359i	−0.103152	+	0.994666i	$0.532893\pi$
$284$	8.01878	−	13.8889i	0.475827	−	0.824157i
$285$	−6.20384	−	1.40459i	−0.367484	−	0.0832007i
$286$	9.03331			0.534151
$287$	−4.75983	−	8.11383i	−0.280964	−	0.478944i
$288$	0.766044	+	0.642788i	0.0451396	+	0.0378766i
$289$	1.63646	+	9.28081i	0.0962622	+	0.545930i
$290$	1.28432	−	7.28372i	0.0754177	−	0.427715i
$291$	−0.143942	−	0.816333i	−0.00843800	−	0.0478543i
$292$	4.70709	−	8.15291i	0.275461	−	0.477113i
$293$	−14.5593	+	25.2174i	−0.850562	+	1.47322i	0.0301399	+	0.999546i	$0.490405\pi$
$293$	−14.5593	+	25.2174i	−0.850562	+	1.47322i	−0.880702	+	0.473671i	$0.842929\pi$
$294$	−6.99933	+	0.0970575i	−0.408209	+	0.00566051i
$295$	1.02538	+	5.81520i	0.0596998	+	0.338574i
$296$	7.51981			0.437080
$297$	2.98304			0.173093
$298$	−1.08560	−	6.15673i	−0.0628870	−	0.356650i
$299$	−0.330661	−	0.277457i	−0.0191226	−	0.0160458i
$300$	−2.69739	−	0.981769i	−0.155734	−	0.0566825i
$301$	18.7103	−	0.129719i	1.07844	−	0.00747686i
$302$	−2.96024	+	16.7883i	−0.170343	+	0.966061i
$303$	−0.275389	−	0.476988i	−0.0158207	−	0.0274022i
$304$	−0.209668	+	4.35385i	−0.0120253	+	0.249711i
$305$	0.220404	−	0.381751i	0.0126203	−	0.0218590i
$306$	−4.83042	+	1.75813i	−0.276137	+	0.100506i
$307$	19.9354	+	16.7278i	1.13778	+	0.954708i	0.999364	−	0.0356671i	$-0.0113556\pi$
$307$	19.9354	+	16.7278i	1.13778	+	0.954708i	0.138412	+	0.990375i	$0.455800\pi$
$308$	6.08094	+	5.03109i	0.346494	+	0.286673i
$309$	−2.41688	+	0.879674i	−0.137492	+	0.0500429i
$310$	2.64140	+	0.961393i	0.150022	+	0.0546034i
$311$	−15.5739			−0.883113			−0.441556	−	0.897234i	$-0.645573\pi$
$311$	−15.5739			−0.883113			−0.441556	+	0.897234i	$0.645573\pi$
$312$	−1.51411	−	2.62252i	−0.0857198	−	0.148471i
$313$	−7.15339	+	6.00241i	−0.404334	+	0.339276i	−0.822166	−	0.569248i	$-0.807234\pi$
$313$	−7.15339	+	6.00241i	−0.404334	+	0.339276i	0.417832	+	0.908524i	$0.362790\pi$
$314$	3.17167	+	17.9874i	0.178988	+	1.01509i
$315$	3.63712	+	1.29532i	0.204929	+	0.0729829i
$316$	1.05850	+	1.83338i	0.0595455	+	0.103136i
$317$	−1.80606	−	0.657353i	−0.101439	−	0.0369206i	0.290802	−	0.956783i	$-0.406078\pi$
$317$	−1.80606	−	0.657353i	−0.101439	−	0.0369206i	−0.392241	+	0.919863i	$0.628300\pi$
$318$	0.485111	−	2.75120i	0.0272037	−	0.154280i
$319$	−11.5818	+	9.71828i	−0.648456	+	0.544119i
$320$	0.253401	−	1.43711i	0.0141656	−	0.0803369i
$321$	−3.35286	+	19.0150i	−0.187139	+	1.06132i
$322$	−0.0680610	−	0.370936i	−0.00379289	−	0.0206715i
$323$	−18.8433	−	12.1237i	−1.04847	−	0.674582i
$324$	−0.500000	−	0.866025i	−0.0277778	−	0.0481125i
$325$	6.65886	+	5.58745i	0.369367	+	0.309936i
$326$	16.4003	−	5.96922i	0.908328	−	0.330604i
$327$	−1.00622	−	5.70658i	−0.0556443	−	0.315574i
$328$	3.34106	−	1.21605i	0.184479	−	0.0671449i
$329$	−0.263490	+	0.0979766i	−0.0145267	+	0.00540163i
$330$	−2.17655	−	3.76989i	−0.119815	−	0.207525i
$331$	29.1980			1.60486			0.802432	−	0.596743i	$-0.203539\pi$
$331$	29.1980			1.60486			0.802432	+	0.596743i	$0.203539\pi$
$332$	−4.39158	−	1.59841i	−0.241020	−	0.0877239i
$333$	−7.06631	−	2.57193i	−0.387232	−	0.140941i
$334$	8.25824			0.451871
$335$	−2.87327	−	4.97665i	−0.156984	−	0.271904i
$336$	0.441355	−	2.60868i	0.0240779	−	0.142315i
$337$	9.36481	−	3.40851i	0.510134	−	0.185674i	−0.0741126	−	0.997250i	$-0.523612\pi$
$337$	9.36481	−	3.40851i	0.510134	−	0.185674i	0.584246	+	0.811576i	$0.301390\pi$
$338$	−0.665046	−	3.77167i	−0.0361738	−	0.205152i
$339$	2.76602	−	1.00675i	0.150230	−	0.0546792i
$340$	5.74635	+	4.82176i	0.311639	+	0.261497i
$341$	−2.87302	−	4.97622i	−0.155583	−	0.269478i
$342$	1.68613	−	4.01957i	0.0911754	−	0.217354i
$343$	9.59169	+	15.8430i	0.517903	+	0.855439i
$344$	−1.22804	+	6.96456i	−0.0662114	+	0.375504i
$345$	−0.0361202	+	0.204848i	−0.00194464	+	0.0110286i
$346$	−2.83728	+	2.38076i	−0.152533	+	0.127990i
$347$	1.25491	−	7.11694i	0.0673671	−	0.382058i	−0.932419	−	0.361379i	$-0.882306\pi$
$347$	1.25491	−	7.11694i	0.0673671	−	0.382058i	0.999786	−	0.0206788i	$-0.00658274\pi$
$348$	4.76265	+	1.73346i	0.255305	+	0.0929234i
$349$	8.16359	+	14.1397i	0.436987	+	0.756883i	0.997455	−	0.0712922i	$-0.0227123\pi$
$349$	8.16359	+	14.1397i	0.436987	+	0.756883i	−0.560469	+	0.828176i	$0.689379\pi$
$350$	1.37061	+	7.46993i	0.0732624	+	0.399284i
$351$	0.525846	+	2.98222i	0.0280676	+	0.159179i
$352$	−2.28514	+	1.91746i	−0.121798	+	0.102201i
$353$	11.3684	+	19.6906i	0.605077	+	1.04802i	0.992039	+	0.125928i	$0.0401910\pi$
$353$	11.3684	+	19.6906i	0.605077	+	1.04802i	−0.386962	+	0.922095i	$0.626476\pi$
$354$	−4.04645			−0.215067
$355$	21.9919	+	8.00440i	1.16721	+	0.424830i
$356$	4.82797	−	1.75724i	0.255882	−	0.0931334i
$357$	10.4788	+	8.66966i	0.554596	+	0.458847i
$358$	12.5728	+	10.5499i	0.664495	+	0.557577i
$359$	−24.7731	+	9.01666i	−1.30747	+	0.475881i	−0.899423	−	0.437078i	$-0.856013\pi$
$359$	−24.7731	+	9.01666i	−1.30747	+	0.475881i	−0.408050	+	0.912960i	$0.633791\pi$
$360$	−0.729640	+	1.26377i	−0.0384554	+	0.0666067i
$361$	18.3960	−	4.75269i	0.968209	−	0.250141i
$362$	8.45649	+	14.6471i	0.444463	+	0.769833i
$363$	0.364918	−	2.06955i	0.0191532	−	0.108623i
$364$	−3.95777	+	6.96614i	−0.207443	+	0.365125i
$365$	12.9094	+	4.69864i	0.675710	+	0.245938i
$366$	0.231401	+	0.194168i	0.0120955	+	0.0101493i
$367$	2.14378	+	12.1580i	0.111905	+	0.634643i	0.988236	+	0.152935i	$0.0488724\pi$
$367$	2.14378	+	12.1580i	0.111905	+	0.634643i	−0.876332	+	0.481708i	$0.840017\pi$
$368$	0.142541			0.00743048
$369$	−3.55548			−0.185091
$370$	1.90553	+	10.8068i	0.0990638	+	0.561819i
$371$	−6.92784	+	2.57606i	−0.359676	+	0.133742i
$372$	−0.963120	+	1.66817i	−0.0499354	+	0.0864907i
$373$	11.9457	−	20.6906i	0.618527	−	1.07132i	−0.371228	−	0.928542i	$-0.621063\pi$
$373$	11.9457	−	20.6906i	0.618527	−	1.07132i	0.989755	−	0.142778i	$-0.0456035\pi$
$374$	−2.66274	−	15.1011i	−0.137687	−	0.780861i
$375$	1.99440	−	11.3108i	0.102990	−	0.584086i
$376$	−0.0184505	−	0.104638i	−0.000951511	−	0.00539629i
$377$	−11.7572	−	9.86550i	−0.605529	−	0.508099i
$378$	−1.30696	+	2.30040i	−0.0672227	+	0.118320i
$379$	−20.1544			−1.03526			−0.517631	−	0.855604i	$-0.673186\pi$
$379$	−20.1544			−1.03526			−0.517631	+	0.855604i	$0.673186\pi$
$380$	−6.31010	+	0.801956i	−0.323701	+	0.0411395i
$381$	−4.38916	+	7.60224i	−0.224863	+	0.389475i
$382$	16.3552	+	13.7236i	0.836805	+	0.702163i
$383$	−5.40087	+	30.6298i	−0.275972	+	1.56511i	0.459887	+	0.887977i	$0.347890\pi$
$383$	−5.40087	+	30.6298i	−0.275972	+	1.56511i	−0.735859	+	0.677135i	$0.763221\pi$
$384$	0.939693	+	0.342020i	0.0479535	+	0.0174536i
$385$	−5.68931	+	10.0139i	−0.289954	+	0.510354i
$386$	−9.89812	+	8.30551i	−0.503801	+	0.422739i
$387$	3.53600	−	6.12453i	0.179745	−	0.311327i
$388$	−0.414463	−	0.717871i	−0.0210412	−	0.0364444i
$389$	22.1324	+	8.05553i	1.12216	+	0.408432i	0.835439	−	0.549584i	$-0.185214\pi$
$389$	22.1324	+	8.05553i	1.12216	+	0.408432i	0.286718	+	0.958015i	$0.407436\pi$
$390$	3.38517	−	2.84050i	0.171415	−	0.143834i
$391$	−0.366361	+	0.634557i	−0.0185277	+	0.0320909i
$392$	−6.54402	+	2.48512i	−0.330523	+	0.125517i
$393$	−3.18261	+	2.67053i	−0.160542	+	0.134710i
$394$	9.19824	+	7.71824i	0.463401	+	0.388839i
$395$	−2.36655	+	1.98577i	−0.119074	+	0.0999149i
$396$	2.80314	−	1.02026i	0.140863	−	0.0512700i
$397$	−32.4955	+	11.8274i	−1.63090	+	0.593601i	−0.985415	−	0.170168i	$-0.945569\pi$
$397$	−32.4955	+	11.8274i	−1.63090	+	0.593601i	−0.645490	+	0.763769i	$0.723347\pi$
$398$	6.12525			0.307031
$399$	−11.4302	+	1.53327i	−0.572225	+	0.0767594i
$400$	−2.87050			−0.143525
$401$	20.7573	−	7.55505i	1.03657	−	0.377281i	0.232992	−	0.972479i	$-0.425148\pi$
$401$	20.7573	−	7.55505i	1.03657	−	0.377281i	0.803580	+	0.595197i	$0.202926\pi$
$402$	3.70044	−	1.34685i	0.184561	−	0.0671748i
$403$	4.46840	−	3.74944i	0.222587	−	0.186773i
$404$	−0.421921	−	0.354033i	−0.0209913	−	0.0176138i
$405$	1.11787	−	0.938007i	0.0555476	−	0.0466100i
$406$	−2.42003	−	13.1893i	−0.120104	−	0.654574i
$407$	11.2159	−	19.4266i	0.555954	−	0.962940i
$408$	−3.93779	+	3.30420i	−0.194950	+	0.163582i
$409$	9.51363	+	3.46268i	0.470419	+	0.171218i	0.566342	−	0.824170i	$-0.308358\pi$
$409$	9.51363	+	3.46268i	0.470419	+	0.171218i	−0.0959233	+	0.995389i	$0.530580\pi$
$410$	2.59422	+	4.49333i	0.128120	+	0.221910i
$411$	8.30127	−	14.3782i	0.409471	−	0.709225i
$412$	−1.97026	+	1.65325i	−0.0970678	+	0.0814496i
$413$	5.41710	+	9.23426i	0.266558	+	0.454388i
$414$	−0.133945	−	0.0487520i	−0.00658304	−	0.00239603i
$415$	1.18425	−	6.71623i	0.0581327	−	0.329687i
$416$	−2.31976	−	1.94651i	−0.113735	−	0.0954353i
$417$	−0.990622	+	1.71581i	−0.0485110	+	0.0840235i
$418$	10.9350	+	7.03551i	0.534847	+	0.344118i
$419$	−26.1225			−1.27617			−0.638083	−	0.769968i	$-0.720272\pi$
$419$	−26.1225			−1.27617			−0.638083	+	0.769968i	$0.720272\pi$
$420$	3.86080	−	0.0267670i	0.188388	−	0.00130610i
$421$	−3.64331	−	3.05710i	−0.177564	−	0.148994i	0.549674	−	0.835379i	$-0.314752\pi$
$421$	−3.64331	−	3.05710i	−0.177564	−	0.148994i	−0.727238	+	0.686385i	$0.759196\pi$
$422$	4.28772	+	24.3168i	0.208723	+	1.18373i
$423$	−0.0184505	+	0.104638i	−0.000897093	+	0.00508767i
$424$	−0.485111	−	2.75120i	−0.0235591	−	0.133610i
$425$	7.37780	−	12.7787i	0.357876	−	0.619859i
$426$	−8.01878	+	13.8889i	−0.388511	+	0.672921i
$427$	0.133321	−	0.788009i	0.00645186	−	0.0381344i
$428$	3.35286	+	19.0150i	0.162067	+	0.919126i
$429$	−9.03331			−0.436133
$430$	−10.3200			−0.497676
$431$	3.94167	+	22.3543i	0.189863	+	1.07677i	0.919546	+	0.392983i	$0.128557\pi$
$431$	3.94167	+	22.3543i	0.189863	+	1.07677i	−0.729682	+	0.683786i	$0.760332\pi$
$432$	−0.766044	−	0.642788i	−0.0368563	−	0.0309261i
$433$	−25.6885	−	9.34985i	−1.23451	−	0.449325i	−0.359371	−	0.933195i	$-0.617009\pi$
$433$	−25.6885	−	9.34985i	−1.23451	−	0.449325i	−0.875140	+	0.483869i	$0.839231\pi$
$434$	5.09623	−	0.0353322i	0.244627	−	0.00169600i
$435$	−1.28432	+	7.28372i	−0.0615783	+	0.349228i
$436$	−2.89731	−	5.01828i	−0.138756	−	0.240332i
$437$	−0.184175	−	0.593399i	−0.00881028	−	0.0283861i
$438$	−4.70709	+	8.15291i	−0.224913	+	0.389561i
$439$	2.07147	−	0.753952i	0.0988657	−	0.0359842i	−0.292114	−	0.956384i	$-0.594359\pi$
$439$	2.07147	−	0.753952i	0.0988657	−	0.0359842i	0.390979	+	0.920399i	$0.372136\pi$
$440$	−3.33466	−	2.79811i	−0.158974	−	0.133395i
$441$	6.99933	−	0.0970575i	0.333301	−	0.00462179i
$442$	14.6276	−	5.32401i	0.695764	−	0.253237i
$443$	−9.07366	−	3.30254i	−0.431102	−	0.156908i	0.117349	−	0.993091i	$-0.462560\pi$
$443$	−9.07366	−	3.30254i	−0.431102	−	0.156908i	−0.548452	+	0.836182i	$0.684783\pi$
$444$	−7.51981			−0.356875
$445$	3.74876	+	6.49304i	0.177708	+	0.307800i
$446$	21.7341	−	18.2371i	1.02914	−	0.863551i
$447$	1.08560	+	6.15673i	0.0513470	+	0.291203i
$448$	−0.477483	−	2.60231i	−0.0225589	−	0.122948i
$449$	−6.96941	−	12.0714i	−0.328907	−	0.569683i	0.653389	−	0.757023i	$-0.273347\pi$
$449$	−6.96941	−	12.0714i	−0.328907	−	0.569683i	−0.982295	+	0.187340i	$0.940013\pi$
$450$	2.69739	+	0.981769i	0.127156	+	0.0462810i
$451$	1.84174	−	10.4450i	0.0867240	−	0.491836i
$452$	2.25488	−	1.89207i	0.106061	−	0.0889956i
$453$	2.96024	−	16.7883i	0.139084	−	0.788785i
$454$	−1.07495	+	6.09634i	−0.0504499	+	0.286115i
$455$	−11.0140	−	3.92252i	−0.516345	−	0.183890i
$456$	0.209668	−	4.35385i	0.00981863	−	0.203888i
$457$	14.4545	+	25.0359i	0.676151	+	1.17113i	0.976131	+	0.217183i	$0.0696868\pi$
$457$	14.4545	+	25.0359i	0.676151	+	1.17113i	−0.299979	+	0.953946i	$0.596980\pi$
$458$	−20.9121	−	17.5474i	−0.977160	−	0.819935i
$459$	4.83042	−	1.75813i	0.225465	−	0.0820624i
$460$	0.0361202	+	0.204848i	0.00168411	+	0.00955107i
$461$	30.5247	−	11.1101i	1.42168	−	0.517448i	0.487142	−	0.873323i	$-0.338039\pi$
$461$	30.5247	−	11.1101i	1.42168	−	0.517448i	0.934534	+	0.355875i	$0.115817\pi$
$462$	−6.08094	−	5.03109i	−0.282911	−	0.234067i
$463$	−15.4927	−	26.8342i	−0.720008	−	1.24709i	−0.960996	−	0.276562i	$-0.910805\pi$
$463$	−15.4927	−	26.8342i	−0.720008	−	1.24709i	0.240988	−	0.970528i	$-0.422529\pi$
$464$	5.06831			0.235290
$465$	−2.64140	−	0.961393i	−0.122492	−	0.0445835i
$466$	7.12618	+	2.59372i	0.330114	+	0.120152i
$467$	−36.4880			−1.68846			−0.844231	−	0.535980i	$-0.819942\pi$
$467$	−36.4880			−1.68846			−0.844231	+	0.535980i	$0.819942\pi$
$468$	1.51411	+	2.62252i	0.0699899	+	0.121226i
$469$	−8.02749	−	6.64157i	−0.370675	−	0.306679i
$470$	0.145701	−	0.0530308i	0.00672068	−	0.00244613i
$471$	−3.17167	−	17.9874i	−0.146143	−	0.828818i
$472$	−3.80242	+	1.38397i	−0.175021	+	0.0637023i
$473$	16.1605	+	13.5603i	0.743061	+	0.623502i
$474$	−1.05850	−	1.83338i	−0.0486187	−	0.0842101i
$475$	3.70892	+	11.9499i	0.170177	+	0.548298i
$476$	12.8120	+	4.56286i	0.587239	+	0.209138i
$477$	−0.485111	+	2.75120i	−0.0222117	+	0.125969i
$478$	−0.848881	+	4.81424i	−0.0388269	+	0.220198i
$479$	22.3983	−	18.7944i	1.02340	−	0.858737i	0.0333515	−	0.999444i	$-0.489382\pi$
$479$	22.3983	−	18.7944i	1.02340	−	0.858737i	0.990051	+	0.140707i	$0.0449375\pi$
$480$	−0.253401	+	1.43711i	−0.0115661	+	0.0655948i
$481$	21.3984	+	7.78838i	0.975683	+	0.355119i
$482$	−3.13337	−	5.42715i	−0.142721	−	0.247200i
$483$	0.0680610	+	0.370936i	0.00309688	+	0.0168782i
$484$	−0.364918	−	2.06955i	−0.0165872	−	0.0940706i
$485$	0.926635	−	0.777539i	0.0420763	−	0.0353062i
$486$	0.500000	+	0.866025i	0.0226805	+	0.0392837i
$487$	−6.79186			−0.307769			−0.153884	−	0.988089i	$-0.549178\pi$
$487$	−6.79186			−0.307769			−0.153884	+	0.988089i	$0.549178\pi$
$488$	0.283855	+	0.103315i	0.0128495	+	0.00467684i
$489$	−16.4003	+	5.96922i	−0.741647	+	0.269937i
$490$	−5.22965	−	8.77475i	−0.236251	−	0.396403i
$491$	26.7485	+	22.4446i	1.20714	+	1.01291i	0.999397	+	0.0347297i	$0.0110570\pi$
$491$	26.7485	+	22.4446i	1.20714	+	1.01291i	0.207745	+	0.978183i	$0.433387\pi$
$492$	−3.34106	+	1.21605i	−0.150627	+	0.0548236i
$493$	−13.0266	+	22.5628i	−0.586690	+	1.01618i
$494$	−5.10598	+	12.1722i	−0.229729	+	0.547652i
$495$	2.17655	+	3.76989i	0.0978284	+	0.169444i
$496$	−0.334488	+	1.89698i	−0.0150190	+	0.0851767i
$497$	42.4304	−	0.294171i	1.90326	−	0.0131954i
$498$	4.39158	+	1.59841i	0.196792	+	0.0716263i
$499$	18.3185	+	15.3710i	0.820048	+	0.688102i	0.952983	−	0.303023i	$-0.0979958\pi$
$499$	18.3185	+	15.3710i	0.820048	+	0.688102i	−0.132935	+	0.991125i	$0.542440\pi$
$500$	−1.99440	−	11.3108i	−0.0891921	−	0.505833i
$501$	−8.25824			−0.368951
$502$	17.3325			0.773585
$503$	1.57096	+	8.90934i	0.0700455	+	0.397248i	0.999593	+	0.0285442i	$0.00908714\pi$
$503$	1.57096	+	8.90934i	0.0700455	+	0.397248i	−0.929547	+	0.368704i	$0.879802\pi$
$504$	−0.441355	+	2.60868i	−0.0196595	+	0.116200i
$505$	0.401870	−	0.696059i	0.0178830	−	0.0309742i
$506$	0.212603	−	0.368239i	0.00945136	−	0.0163702i
$507$	0.665046	+	3.77167i	0.0295357	+	0.167506i
$508$	−1.52434	+	8.64495i	−0.0676316	+	0.383558i
$509$	0.549800	+	3.11807i	0.0243695	+	0.138206i	0.994565	−	0.104117i	$-0.0332017\pi$
$509$	0.549800	+	3.11807i	0.0243695	+	0.138206i	−0.970196	+	0.242323i	$0.922091\pi$
$510$	−5.74635	−	4.82176i	−0.254453	−	0.213511i
$511$	24.9070	−	0.172680i	1.10182	−	0.00763893i
$512$	1.00000			0.0441942
$513$	−1.68613	+	4.01957i	−0.0744444	+	0.177468i
$514$	−8.70602	+	15.0793i	−0.384006	+	0.665118i
$515$	−2.87516	−	2.41255i	−0.126695	−	0.106310i
$516$	1.22804	−	6.96456i	0.0540614	−	0.306597i
$517$	−0.297839	−	0.108405i	−0.0130990	−	0.00476763i
$518$	10.0670	+	17.1607i	0.442318	+	0.753997i
$519$	2.83728	−	2.38076i	0.124543	−	0.104504i
$520$	2.20952	−	3.82699i	0.0968937	−	0.167825i
$521$	12.0679	+	20.9022i	0.528705	+	0.915743i	0.999440	+	0.0334688i	$0.0106554\pi$
$521$	12.0679	+	20.9022i	0.528705	+	0.915743i	−0.470735	+	0.882275i	$0.656011\pi$
$522$	−4.76265	−	1.73346i	−0.208456	−	0.0758717i
$523$	−10.7120	+	8.98843i	−0.468403	+	0.393037i	−0.846212	−	0.532847i	$-0.821122\pi$
$523$	−10.7120	+	8.98843i	−0.468403	+	0.393037i	0.377809	+	0.925884i	$0.376678\pi$
$524$	−2.07730	+	3.59800i	−0.0907474	+	0.157179i
$525$	−1.37061	−	7.46993i	−0.0598185	−	0.326014i
$526$	21.5725	−	18.1015i	0.940606	−	0.789262i
$527$	−7.58514	−	6.36468i	−0.330414	−	0.277250i
$528$	2.28514	−	1.91746i	0.0994480	−	0.0834467i
$529$	21.5938	−	7.85951i	0.938863	−	0.341718i
$530$	3.83085	−	1.39432i	0.166402	−	0.0605652i
$531$	4.04645			0.175601
$532$	−10.2165	+	5.35015i	−0.442939	+	0.231959i
$533$	10.7668			0.466362
$534$	−4.82797	+	1.75724i	−0.208927	+	0.0760431i
$535$	−26.4771	+	9.63687i	−1.14470	+	0.416638i
$536$	3.01663	−	2.53125i	0.130299	−	0.109333i
$537$	−12.5728	−	10.5499i	−0.542558	−	0.455260i
$538$	5.47222	−	4.59174i	0.235924	−	0.197964i
$539$	−3.34052	+	20.6123i	−0.143886	+	0.887836i
$540$	0.729640	−	1.26377i	0.0313987	−	0.0543842i
$541$	1.86933	−	1.56855i	0.0803688	−	0.0674374i	−0.601718	−	0.798708i	$-0.705517\pi$
$541$	1.86933	−	1.56855i	0.0803688	−	0.0674374i	0.682087	+	0.731271i	$0.261073\pi$
$542$	2.28581	+	0.831966i	0.0981838	+	0.0357360i
$543$	−8.45649	−	14.6471i	−0.362903	−	0.628566i
$544$	−2.57021	+	4.45174i	−0.110197	+	0.190867i
$545$	6.47764	−	5.43539i	0.277472	−	0.232826i
$546$	3.95777	−	6.96614i	0.169377	−	0.298123i
$547$	−33.5267	−	12.2027i	−1.43350	−	0.521751i	−0.495566	−	0.868570i	$-0.665039\pi$
$547$	−33.5267	−	12.2027i	−1.43350	−	0.521751i	−0.937932	+	0.346820i	$0.887262\pi$
$548$	2.88300	−	16.3503i	0.123156	−	0.698450i
$549$	−0.231401	−	0.194168i	−0.00987594	−	0.00828690i
$550$	−4.28141	+	7.41561i	−0.182560	+	0.316203i
$551$	−6.54867	−	21.0993i	−0.278983	−	0.898862i
$552$	−0.142541			−0.00606696
$553$	−2.76684	+	4.86998i	−0.117658	+	0.207092i
$554$	12.0196	+	10.0857i	0.510665	+	0.428499i
$555$	−1.90553	−	10.8068i	−0.0808853	−	0.458723i
$556$	−0.344040	+	1.95115i	−0.0145905	+	0.0827470i
$557$	−0.284047	−	1.61091i	−0.0120355	−	0.0682566i	0.978198	−	0.207672i	$-0.0665887\pi$
$557$	−0.284047	−	1.61091i	−0.0120355	−	0.0682566i	−0.990234	+	0.139416i	$0.955478\pi$
$558$	0.963120	−	1.66817i	0.0407721	−	0.0706194i
$559$	−10.7078	+	18.5465i	−0.452892	+	0.784431i
$560$	3.61881	−	1.34562i	0.152923	−	0.0568630i
$561$	2.66274	+	15.1011i	0.112421	+	0.637570i
$562$	0.736205			0.0310549
$563$	−9.79798			−0.412936			−0.206468	−	0.978453i	$-0.566197\pi$
$563$	−9.79798			−0.412936			−0.206468	+	0.978453i	$0.566197\pi$
$564$	0.0184505	+	0.104638i	0.000776905	+	0.00440605i
$565$	3.29051	+	2.76106i	0.138433	+	0.116159i
$566$	−17.7158	−	6.44802i	−0.744650	−	0.271030i
$567$	1.30696	−	2.30040i	0.0548871	−	0.0966079i
$568$	−2.78489	+	15.7939i	−0.116852	+	0.662698i
$569$	−21.3963	−	37.0596i	−0.896981	−	1.55362i	−0.831333	−	0.555774i	$-0.812422\pi$
$569$	−21.3963	−	37.0596i	−0.896981	−	1.55362i	−0.0656481	−	0.997843i	$-0.520911\pi$
$570$	6.31010	−	0.801956i	0.264301	−	0.0335902i
$571$	18.1811	−	31.4907i	0.760857	−	1.31784i	−0.181552	−	0.983381i	$-0.558112\pi$
$571$	18.1811	−	31.4907i	0.760857	−	1.31784i	0.942409	−	0.334462i	$-0.108555\pi$
$572$	−8.48854	+	3.08958i	−0.354924	+	0.129182i
$573$	−16.3552	−	13.7236i	−0.683248	−	0.573313i
$574$	7.24787	+	5.99655i	0.302520	+	0.250291i
$575$	0.384489	−	0.139943i	0.0160343	−	0.00583601i
$576$	−0.939693	−	0.342020i	−0.0391539	−	0.0142508i
$577$	6.22364			0.259094			0.129547	−	0.991573i	$-0.458648\pi$
$577$	6.22364			0.259094			0.129547	+	0.991573i	$0.458648\pi$
$578$	−4.71199	−	8.16140i	−0.195993	−	0.339470i
$579$	9.89812	−	8.30551i	0.411352	−	0.345165i
$580$	1.28432	+	7.28372i	0.0533284	+	0.302440i
$581$	−2.23148	−	12.1617i	−0.0925774	−	0.504552i
$582$	0.414463	+	0.717871i	0.0171800	+	0.0297567i
$583$	−7.83097	−	2.85024i	−0.324326	−	0.118045i
$584$	−1.63475	+	9.27115i	−0.0676466	+	0.383643i
$585$	−3.38517	+	2.84050i	−0.139960	+	0.117440i
$586$	5.05638	−	28.6762i	0.208877	−	1.18460i
$587$	−7.66811	+	43.4880i	−0.316497	+	1.79494i	0.247203	+	0.968964i	$0.420489\pi$
$587$	−7.66811	+	43.4880i	−0.316497	+	1.79494i	−0.563700	+	0.825980i	$0.690623\pi$
$588$	6.54402	−	2.48512i	0.269871	−	0.102484i
$589$	8.32929	−	1.05858i	0.343202	−	0.0436179i
$590$	−2.95246	−	5.11380i	−0.121551	−	0.210532i
$591$	−9.19824	−	7.71824i	−0.378365	−	0.317486i
$592$	−7.06631	+	2.57193i	−0.290424	+	0.105706i
$593$	−4.08888	−	23.1892i	−0.167910	−	0.952265i	−0.946013	−	0.324128i	$-0.894929\pi$
$593$	−4.08888	−	23.1892i	−0.167910	−	0.952265i	0.778103	−	0.628137i	$-0.216182\pi$
$594$	−2.80314	+	1.02026i	−0.115014	+	0.0418617i
$595$	−3.31075	+	19.5685i	−0.135727	+	0.802232i
$596$	3.12585	+	5.41414i	0.128040	+	0.221772i
$597$	−6.12525			−0.250690
$598$	0.405616	+	0.147632i	0.0165869	+	0.00603712i
$599$	−18.3904	−	6.69357i	−0.751413	−	0.273492i	−0.0622129	−	0.998063i	$-0.519816\pi$
$599$	−18.3904	−	6.69357i	−0.751413	−	0.273492i	−0.689200	+	0.724571i	$0.742038\pi$
$600$	2.87050			0.117188
$601$	−10.8166	−	18.7348i	−0.441217	−	0.764210i	0.556563	−	0.830805i	$-0.312120\pi$
$601$	−10.8166	−	18.7348i	−0.441217	−	0.764210i	−0.997780	+	0.0665956i	$0.978786\pi$
$602$	−17.5376	+	6.52119i	−0.714777	+	0.265784i
$603$	−3.70044	+	1.34685i	−0.150694	+	0.0548480i
$604$	−2.96024	−	16.7883i	−0.120450	−	0.683108i
$605$	2.88171	−	1.04886i	0.117158	−	0.0426420i
$606$	0.421921	+	0.354033i	0.0171394	+	0.0143816i
$607$	19.6708	+	34.0708i	0.798413	+	1.38289i	0.920649	+	0.390391i	$0.127660\pi$
$607$	19.6708	+	34.0708i	0.798413	+	1.38289i	−0.122236	+	0.992501i	$0.539007\pi$
$608$	−1.29208	−	4.16299i	−0.0524008	−	0.168832i
$609$	2.42003	+	13.1893i	0.0980646	+	0.534458i
$610$	−0.0765455	+	0.434111i	−0.00309924	+	0.0175766i
$611$	0.0558722	−	0.316867i	0.00226035	−	0.0128191i
$612$	3.93779	−	3.30420i	0.159176	−	0.133564i
$613$	4.18319	−	23.7241i	0.168957	−	0.958205i	−0.775932	−	0.630816i	$-0.782720\pi$
$613$	4.18319	−	23.7241i	0.168957	−	0.958205i	0.944890	−	0.327389i	$-0.106169\pi$
$614$	−24.4544	−	8.90069i	−0.986901	−	0.359203i
$615$	−2.59422	−	4.49333i	−0.104609	−	0.181188i
$616$	−7.43495	−	2.64787i	−0.299563	−	0.106686i
$617$	−3.24981	−	18.4306i	−0.130832	−	0.741987i	−0.977672	−	0.210138i	$-0.932609\pi$
$617$	−3.24981	−	18.4306i	−0.130832	−	0.741987i	0.846839	−	0.531849i	$-0.178503\pi$
$618$	1.97026	−	1.65325i	0.0792555	−	0.0665033i
$619$	−16.6139	−	28.7761i	−0.667769	−	1.15661i	−0.978527	−	0.206121i	$-0.933916\pi$
$619$	−16.6139	−	28.7761i	−0.667769	−	1.15661i	0.310758	−	0.950489i	$-0.399417\pi$
$620$	−2.81092			−0.112889
$621$	0.133945	+	0.0487520i	0.00537503	+	0.00195635i
$622$	14.6346	−	5.32657i	0.586796	−	0.213576i
$623$	10.4735	+	8.66526i	0.419611	+	0.347166i
$624$	2.31976	+	1.94651i	0.0928645	+	0.0779226i
$625$	2.26252	−	0.823490i	0.0905009	−	0.0329396i
$626$	4.66904	−	8.08702i	0.186613	−	0.323222i
$627$	−10.9350	−	7.03551i	−0.436700	−	0.280971i
$628$	−9.13247	−	15.8179i	−0.364425	−	0.631203i
$629$	6.71238	−	38.0678i	0.267640	−	1.51786i
$630$	−3.86080	+	0.0267670i	−0.153818	+	0.00106642i
$631$	−8.93398	−	3.25170i	−0.355656	−	0.129448i	0.158012	−	0.987437i	$-0.449492\pi$
$631$	−8.93398	−	3.25170i	−0.355656	−	0.129448i	−0.513668	+	0.857989i	$0.671714\pi$
$632$	−1.62172	−	1.36079i	−0.0645087	−	0.0541292i
$633$	−4.28772	−	24.3168i	−0.170421	−	0.966508i
$634$	1.92197			0.0763313
$635$	−12.8100			−0.508350
$636$	0.485111	+	2.75120i	0.0192359	+	0.109092i
$637$	−21.1955	+	0.293912i	−0.839798	+	0.0116452i
$638$	7.55948	−	13.0934i	0.299283	−	0.518373i
$639$	8.01878	−	13.8889i	0.317218	−	0.549438i
$640$	0.253401	+	1.43711i	0.0100166	+	0.0568068i
$641$	2.91104	−	16.5093i	0.114979	−	0.652080i	−0.871781	−	0.489895i	$-0.837035\pi$
$641$	2.91104	−	16.5093i	0.114979	−	0.652080i	0.986760	−	0.162184i	$-0.0518539\pi$
$642$	−3.35286	−	19.0150i	−0.132327	−	0.750463i
$643$	22.1363	+	18.5746i	0.872972	+	0.732511i	0.964722	−	0.263271i	$-0.0848015\pi$
$643$	22.1363	+	18.5746i	0.872972	+	0.732511i	−0.0917495	+	0.995782i	$0.529246\pi$
$644$	0.190824	+	0.325288i	0.00751952	+	0.0128181i
$645$	10.3200			0.406351
$646$	21.8535	+	4.94777i	0.859814	+	0.194667i
$647$	−4.03729	+	6.99279i	−0.158722	+	0.274915i	−0.934408	−	0.356204i	$-0.884071\pi$
$647$	−4.03729	+	6.99279i	−0.158722	+	0.274915i	0.775686	+	0.631119i	$0.217404\pi$
$648$	0.766044	+	0.642788i	0.0300931	+	0.0252511i
$649$	−2.09606	+	11.8873i	−0.0822775	+	0.466619i
$650$	−8.16830	−	2.97302i	−0.320387	−	0.116611i
$651$	−5.09623	+	0.0353322i	−0.199737	+	0.00138478i
$652$	−13.3696	+	11.2185i	−0.523595	+	0.439349i
$653$	−11.0599	+	19.1564i	−0.432809	+	0.749647i	−0.997114	−	0.0759193i	$-0.975811\pi$
$653$	−11.0599	+	19.1564i	−0.432809	+	0.749647i	0.564305	+	0.825566i	$0.309144\pi$
$654$	2.89731	+	5.01828i	0.113294	+	0.196230i
$655$	−5.69711	−	2.07358i	−0.222604	−	0.0810214i
$656$	−2.72366	+	2.28542i	−0.106341	+	0.0892307i
$657$	4.70709	−	8.15291i	0.183641	−	0.318075i
$658$	0.214090	−	0.182187i	0.00834609	−	0.00710238i
$659$	14.7039	−	12.3380i	0.572783	−	0.480622i	−0.309785	−	0.950807i	$-0.600257\pi$
$659$	14.7039	−	12.3380i	0.572783	−	0.480622i	0.882568	+	0.470185i	$0.155813\pi$
$660$	3.33466	+	2.79811i	0.129801	+	0.108916i
$661$	−17.8432	+	14.9722i	−0.694019	+	0.582351i	−0.920065	−	0.391766i	$-0.871864\pi$
$661$	−17.8432	+	14.9722i	−0.694019	+	0.582351i	0.226046	+	0.974117i	$0.427420\pi$
$662$	−27.4371	+	9.98629i	−1.06637	+	0.388128i
$663$	−14.6276	+	5.32401i	−0.568089	+	0.206767i
$664$	4.67343			0.181364
$665$	−10.2776	−	13.3264i	−0.398549	−	0.516777i
$666$	7.51981			0.291387
$667$	−0.678875	+	0.247090i	−0.0262861	+	0.00956737i
$668$	−7.76021	+	2.82448i	−0.300251	+	0.109283i
$669$	−21.7341	+	18.2371i	−0.840290	+	0.705087i
$670$	4.40211	+	3.69381i	0.170068	+	0.142704i
$671$	0.690277	−	0.579211i	0.0266479	−	0.0223602i
$672$	0.477483	+	2.60231i	0.0184193	+	0.100386i
$673$	6.79439	−	11.7682i	0.261905	−	0.453632i	−0.704843	−	0.709363i	$-0.748983\pi$
$673$	6.79439	−	11.7682i	0.261905	−	0.453632i	0.966748	+	0.255731i	$0.0823161\pi$
$674$	−7.63426	+	6.40591i	−0.294061	+	0.246746i
$675$	−2.69739	−	0.981769i	−0.103823	−	0.0377883i
$676$	1.91492	+	3.31675i	0.0736509	+	0.127567i
$677$	−5.83274	+	10.1026i	−0.224171	+	0.388275i	−0.956070	−	0.293138i	$-0.905301\pi$
$677$	−5.83274	+	10.1026i	−0.224171	+	0.388275i	0.731900	+	0.681412i	$0.238634\pi$
$678$	−2.25488	+	1.89207i	−0.0865983	+	0.0726646i
$679$	1.08337	−	1.90687i	0.0415760	−	0.0731788i
$680$	−7.04894	−	2.56560i	−0.270314	−	0.0983864i
$681$	1.07495	−	6.09634i	0.0411921	−	0.233612i
$682$	4.40173	+	3.69349i	0.168551	+	0.141431i
$683$	−21.3275	+	36.9404i	−0.816075	+	1.41348i	0.0924783	+	0.995715i	$0.470521\pi$
$683$	−21.3275	+	36.9404i	−0.816075	+	1.41348i	−0.908553	+	0.417769i	$0.862812\pi$
$684$	−0.209668	+	4.35385i	−0.00801687	+	0.166474i
$685$	24.2278			0.925695
$686$	−14.4319	−	11.6070i	−0.551011	−	0.443156i
$687$	20.9121	+	17.5474i	0.797848	+	0.669474i
$688$	−1.22804	−	6.96456i	−0.0468186	−	0.265521i
$689$	1.46903	−	8.33126i	0.0559654	−	0.317396i
$690$	−0.0361202	−	0.204848i	−0.00137507	−	0.00779841i
$691$	19.4545	−	33.6961i	0.740083	−	1.28186i	−0.212374	−	0.977189i	$-0.568119\pi$
$691$	19.4545	−	33.6961i	0.740083	−	1.28186i	0.952457	−	0.304673i	$-0.0985473\pi$
$692$	1.85190	−	3.20759i	0.0703987	−	0.121934i
$693$	6.08094	+	5.03109i	0.230996	+	0.191115i
$694$	1.25491	+	7.11694i	0.0476357	+	0.270156i
$695$	−2.89119			−0.109669
$696$	−5.06831			−0.192114
$697$	−3.17371	−	17.9990i	−0.120213	−	0.681762i
$698$	−12.5073	−	10.4949i	−0.473410	−	0.397238i
$699$	−7.12618	−	2.59372i	−0.269537	−	0.0981034i
$700$	−3.84282	−	6.55066i	−0.145245	−	0.247592i
$701$	−1.69050	+	9.58729i	−0.0638492	+	0.362107i	0.936097	+	0.351742i	$0.114411\pi$
$701$	−1.69050	+	9.58729i	−0.0638492	+	0.362107i	−0.999946	+	0.0103652i	$0.996701\pi$
$702$	−1.51411	−	2.62252i	−0.0571465	−	0.0989807i
$703$	19.8372	+	26.0939i	0.748173	+	0.984149i
$704$	1.49152	−	2.58339i	0.0562138	−	0.0973651i
$705$	−0.145701	+	0.0530308i	−0.00548741	+	0.00199725i
$706$	−17.4173	−	14.6149i	−0.655510	−	0.550038i
$707$	0.243089	−	1.43680i	0.00914229	−	0.0540366i
$708$	3.80242	−	1.38397i	0.142904	−	0.0520127i
$709$	37.9666	+	13.8187i	1.42587	+	0.518973i	0.935744	−	0.352680i	$-0.114730\pi$
$709$	37.9666	+	13.8187i	1.42587	+	0.518973i	0.490123	+	0.871653i	$0.336952\pi$
$710$	−23.4033			−0.878311
$711$	1.05850	+	1.83338i	0.0396970	+	0.0687573i
$712$	−3.93580	+	3.30253i	−0.147500	+	0.123767i
$713$	−0.0476783	−	0.270397i	−0.00178557	−	0.0101265i
$714$	−12.8120	−	4.56286i	−0.479478	−	0.170761i
$715$	−6.59107	−	11.4161i	−0.246492	−	0.426937i
$716$	−15.4229	−	5.61346i	−0.576379	−	0.209785i
$717$	0.848881	−	4.81424i	0.0317020	−	0.179791i
$718$	20.1952	−	16.9458i	0.753678	−	0.632411i
$719$	−6.04693	+	34.2938i	−0.225512	+	1.27894i	0.636191	+	0.771532i	$0.280509\pi$
$719$	−6.04693	+	34.2938i	−0.225512	+	1.27894i	−0.861703	+	0.507413i	$0.830602\pi$
$720$	0.253401	−	1.43711i	0.00944371	−	0.0535580i
$721$	−6.41045	−	2.28301i	−0.238738	−	0.0850237i
$722$	−15.6611	+	10.7579i	−0.582844	+	0.400366i
$723$	3.13337	+	5.42715i	0.116531	+	0.201838i
$724$	−12.9561	−	10.8715i	−0.481509	−	0.404034i
$725$	13.6712	−	4.97591i	0.507736	−	0.184801i
$726$	0.364918	+	2.06955i	0.0135434	+	0.0768083i
$727$	34.4701	−	12.5461i	1.27842	−	0.465308i	0.388514	−	0.921443i	$-0.372989\pi$
$727$	34.4701	−	12.5461i	1.27842	−	0.465308i	0.889911	+	0.456135i	$0.150766\pi$
$728$	1.33652	−	7.89967i	0.0495348	−	0.292781i
$729$	−0.500000	−	0.866025i	−0.0185185	−	0.0320750i
$730$	−13.7379			−0.508463
$731$	34.1607	+	12.4335i	1.26348	+	0.459869i
$732$	−0.283855	−	0.103315i	−0.0104916	−	0.00381862i
$733$	−41.1517			−1.51997			−0.759986	−	0.649939i	$-0.774794\pi$
$733$	−41.1517			−1.51997			−0.759986	+	0.649939i	$0.774794\pi$
$734$	−6.17278	−	10.6916i	−0.227842	−	0.394633i
$735$	5.22965	+	8.77475i	0.192899	+	0.323662i
$736$	−0.133945	+	0.0487520i	−0.00493728	+	0.00179702i
$737$	−2.03984	−	11.5685i	−0.0751386	−	0.426132i
$738$	3.34106	−	1.21605i	0.122986	−	0.0447633i
$739$	−2.17851	−	1.82799i	−0.0801378	−	0.0672436i	0.601839	−	0.798618i	$-0.294435\pi$
$739$	−2.17851	−	1.82799i	−0.0801378	−	0.0672436i	−0.681977	+	0.731374i	$0.738879\pi$
$740$	−5.48676	−	9.50334i	−0.201697	−	0.349350i
$741$	5.10598	−	12.1722i	0.187573	−	0.447156i
$742$	5.62898	−	4.79017i	0.206646	−	0.175853i
$743$	8.48815	−	48.1387i	0.311400	−	1.76604i	−0.280332	−	0.959903i	$-0.590444\pi$
$743$	8.48815	−	48.1387i	0.311400	−	1.76604i	0.591732	−	0.806135i	$-0.298444\pi$
$744$	0.334488	−	1.89698i	0.0122629	−	0.0695465i
$745$	−6.98862	+	5.86415i	−0.256043	+	0.214846i
$746$	−4.14871	+	23.5285i	−0.151895	+	0.861440i
$747$	−4.39158	−	1.59841i	−0.160680	−	0.0584826i
$748$	7.66704	+	13.2797i	0.280335	+	0.485554i
$749$	−38.9049	+	33.1074i	−1.42155	+	1.20972i
$750$	1.99440	+	11.3108i	0.0728250	+	0.413011i
$751$	15.7808	−	13.2417i	0.575849	−	0.483195i	−0.307732	−	0.951473i	$-0.599570\pi$
$751$	15.7808	−	13.2417i	0.575849	−	0.483195i	0.883581	+	0.468278i	$0.155126\pi$
$752$	0.0531260	+	0.0920170i	0.00193731	+	0.00335551i
$753$	−17.3325			−0.631630
$754$	14.4224	+	5.24932i	0.525232	+	0.191169i
$755$	23.3766	−	8.50838i	0.850761	−	0.309652i
$756$	0.441355	−	2.60868i	0.0160519	−	0.0948767i
$757$	−7.02862	−	5.89771i	−0.255460	−	0.214356i	0.506059	−	0.862499i	$-0.331102\pi$
$757$	−7.02862	−	5.89771i	−0.255460	−	0.214356i	−0.761519	+	0.648143i	$0.775546\pi$
$758$	18.9389	−	6.89321i	0.687893	−	0.250373i
$759$	−0.212603	+	0.368239i	−0.00771700	+	0.0133662i
$760$	5.65527	−	2.91177i	0.205138	−	0.105621i
$761$	3.03173	+	5.25112i	0.109900	+	0.190353i	0.915730	−	0.401795i	$-0.131614\pi$
$761$	3.03173	+	5.25112i	0.109900	+	0.190353i	−0.805829	+	0.592148i	$0.798280\pi$
$762$	1.52434	−	8.64495i	0.0552209	−	0.313174i
$763$	7.57332	−	13.3299i	0.274173	−	0.482576i
$764$	−20.0626	−	7.30220i	−0.725840	−	0.264184i
$765$	5.74635	+	4.82176i	0.207760	+	0.174331i
$766$	−5.40087	−	30.6298i	−0.195141	−	1.10670i
$767$	−12.2536			−0.442451
$768$	−1.00000			−0.0360844
$769$	−0.871119	−	4.94036i	−0.0314134	−	0.178154i	0.965064	−	0.262013i	$-0.0843865\pi$
$769$	−0.871119	−	4.94036i	−0.0314134	−	0.178154i	−0.996478	+	0.0838594i	$0.973275\pi$
$770$	1.92126	−	11.3558i	0.0692373	−	0.409235i
$771$	8.70602	−	15.0793i	0.313540	−	0.543066i
$772$	6.46054	−	11.1900i	0.232520	−	0.402736i
$773$	−0.841383	−	4.77172i	−0.0302625	−	0.171627i	0.965931	−	0.258801i	$-0.0833274\pi$
$773$	−0.841383	−	4.77172i	−0.0302625	−	0.171627i	−0.996193	+	0.0871742i	$0.972216\pi$
$774$	−1.22804	+	6.96456i	−0.0441410	+	0.250336i
$775$	0.960148	+	5.44527i	0.0344895	+	0.195600i
$776$	0.634994	+	0.532823i	0.0227950	+	0.0191272i
$777$	−10.0670	−	17.1607i	−0.361151	−	0.615636i
$778$	−23.5528			−0.844408
$779$	13.0334	+	8.38562i	0.466969	+	0.300446i
$780$	−2.20952	+	3.82699i	−0.0791133	+	0.137028i
$781$	36.6481	+	30.7514i	1.31137	+	1.10037i
$782$	0.127236	−	0.721591i	0.00454995	−	0.0258040i
$783$	4.76265	+	1.73346i	0.170203	+	0.0619490i
$784$	5.29941	−	4.57343i	0.189265	−	0.163337i
$785$	20.4179	−	17.1326i	0.728746	−	0.611490i
$786$	2.07730	−	3.59800i	0.0740950	−	0.128336i
$787$	−12.5801	−	21.7894i	−0.448434	−	0.776710i	0.549851	−	0.835263i	$-0.314685\pi$
$787$	−12.5801	−	21.7894i	−0.448434	−	0.776710i	−0.998284	+	0.0585532i	$0.981351\pi$
$788$	−11.2833	−	4.10679i	−0.401951	−	0.146298i
$789$	−21.5725	+	18.1015i	−0.768001	+	0.644430i
$790$	1.54466	−	2.67542i	0.0549564	−	0.0951872i
$791$	7.33650	+	2.61281i	0.260856	+	0.0929009i
$792$	−2.28514	+	1.91746i	−0.0811989	+	0.0681340i
$793$	0.700734	+	0.587985i	0.0248838	+	0.0208800i
$794$	26.4906	−	22.2283i	0.940117	−	0.788851i
$795$	−3.83085	+	1.39432i	−0.135866	+	0.0494513i
$796$	−5.75586	+	2.09496i	−0.204011	+	0.0742539i
$797$	41.1507			1.45763			0.728817	−	0.684709i	$-0.240071\pi$
$797$	41.1507			1.45763			0.728817	+	0.684709i	$0.240071\pi$
$798$	10.2165	−	5.35015i	0.361658	−	0.189393i
$799$	−0.546181			−0.0193225
$800$	2.69739	−	0.981769i	0.0953671	−	0.0347108i
$801$	4.82797	−	1.75724i	0.170588	−	0.0620890i
$802$	−16.9215	+	14.1989i	−0.597520	+	0.501379i
$803$	21.5127	+	18.0513i	0.759167	+	0.637016i
$804$	−3.01663	+	2.53125i	−0.106388	+	0.0892704i
$805$	−0.419120	+	0.356664i	−0.0147720	+	0.0125707i
$806$	−2.91654	+	5.05160i	−0.102731	+	0.177935i
$807$	−5.47222	+	4.59174i	−0.192631	+	0.161637i
$808$	0.517562	+	0.188377i	0.0182078	+	0.00662709i
$809$	0.549521	+	0.951799i	0.0193201	+	0.0334635i	0.875524	−	0.483175i	$-0.160516\pi$
$809$	0.549521	+	0.951799i	0.0193201	+	0.0334635i	−0.856204	+	0.516638i	$0.827183\pi$
$810$	−0.729640	+	1.26377i	−0.0256369	+	0.0444045i
$811$	21.7897	−	18.2837i	0.765138	−	0.642027i	−0.174321	−	0.984689i	$-0.555773\pi$
$811$	21.7897	−	18.2837i	0.765138	−	0.642027i	0.939459	+	0.342662i	$0.111328\pi$
$812$	6.78509	+	11.5662i	0.238110	+	0.405894i
$813$	−2.28581	−	0.831966i	−0.0801668	−	0.0291783i
$814$	−3.89526	+	22.0911i	−0.136529	+	0.774293i
$815$	−19.5101	−	16.3709i	−0.683407	−	0.573447i
$816$	2.57021	−	4.45174i	0.0899754	−	0.155842i
$817$	−27.4067	+	14.1111i	−0.958838	+	0.493685i
$818$	−10.1242			−0.353984
$819$	−3.95777	+	6.96614i	−0.138296	+	0.243417i
$820$	−3.97458	−	3.33507i	−0.138798	−	0.116466i
$821$	3.13083	+	17.7558i	0.109267	+	0.619683i	0.989430	+	0.145012i	$0.0463220\pi$
$821$	3.13083	+	17.7558i	0.109267	+	0.619683i	−0.880163	+	0.474671i	$0.842567\pi$
$822$	−2.88300	+	16.3503i	−0.100556	+	0.570282i
$823$	3.93201	+	22.2996i	0.137061	+	0.777314i	0.973402	+	0.229104i	$0.0735794\pi$
$823$	3.93201	+	22.2996i	0.137061	+	0.777314i	−0.836341	+	0.548210i	$0.815309\pi$
$824$	1.28600	−	2.22741i	0.0447998	−	0.0775956i
$825$	4.28141	−	7.41561i	0.149059	−	0.258179i
$826$	−8.24871	−	6.82460i	−0.287009	−	0.237458i
$827$	3.21312	+	18.2225i	0.111731	+	0.633660i	0.988317	+	0.152413i	$0.0487045\pi$
$827$	3.21312	+	18.2225i	0.111731	+	0.633660i	−0.876586	+	0.481246i	$0.840184\pi$
$828$	0.142541			0.00495365
$829$	−46.6547			−1.62039			−0.810193	−	0.586163i	$-0.800638\pi$
$829$	−46.6547			−1.62039			−0.810193	+	0.586163i	$0.800638\pi$
$830$	1.18425	+	6.71623i	0.0411060	+	0.233124i
$831$	−12.0196	−	10.0857i	−0.416956	−	0.349868i
$832$	2.84560	+	1.03571i	0.0986535	+	0.0359069i
$833$	6.73912	+	35.3463i	0.233497	+	1.22468i
$834$	0.344040	−	1.95115i	0.0119131	−	0.0675626i
$835$	−6.02554	−	10.4365i	−0.208523	−	0.361172i
$836$	−12.6818	−	2.87124i	−0.438609	−	0.0993039i
$837$	−0.963120	+	1.66817i	−0.0332903	+	0.0576605i
$838$	24.5471	−	8.93441i	0.847965	−	0.308634i
$839$	31.6687	+	26.5732i	1.09333	+	0.917409i	0.996958	−	0.0779365i	$-0.0248331\pi$
$839$	31.6687	+	26.5732i	1.09333	+	0.917409i	0.0963675	+	0.995346i	$0.469278\pi$
$840$	−3.61881	+	1.34562i	−0.124861	+	0.0464284i
$841$	3.11248	−	1.13285i	0.107327	−	0.0390638i
$842$	4.46918	+	1.62665i	0.154018	+	0.0560580i
$843$	−0.736205			−0.0253562
$844$	−12.3460	−	21.3839i	−0.424966	−	0.736063i
$845$	−4.28129	+	3.59243i	−0.147281	+	0.123583i
$846$	−0.0184505	−	0.104638i	−0.000634340	−	0.00359752i
$847$	4.23432	−	3.60334i	0.145493	−	0.123812i
$848$	1.39682	+	2.41937i	0.0479670	+	0.0830814i
$849$	17.7158	+	6.44802i	0.608004	+	0.221295i
$850$	−2.56228	+	14.5314i	−0.0878856	+	0.498424i
$851$	0.821110	−	0.688993i	0.0281473	−	0.0236184i
$852$	2.78489	−	15.7939i	0.0954089	−	0.541091i
$853$	−9.44175	+	53.5468i	−0.323279	+	1.83341i	0.198221	+	0.980157i	$0.436484\pi$
$853$	−9.44175	+	53.5468i	−0.323279	+	1.83341i	−0.521500	+	0.853251i	$0.674627\pi$
$854$	0.144234	+	0.786085i	0.00493559	+	0.0268993i
$855$	−6.31010	+	0.801956i	−0.215801	+	0.0274263i
$856$	−9.65419	−	16.7215i	−0.329973	−	0.571530i
$857$	39.8967	+	33.4773i	1.36285	+	1.14356i	0.975092	+	0.221802i	$0.0711938\pi$
$857$	39.8967	+	33.4773i	1.36285	+	1.14356i	0.387755	+	0.921762i	$0.373251\pi$
$858$	8.48854	−	3.08958i	0.289794	−	0.105476i
$859$	3.25340	+	18.4510i	0.111005	+	0.629539i	0.988651	+	0.150230i	$0.0480015\pi$
$859$	3.25340	+	18.4510i	0.111005	+	0.629539i	−0.877646	+	0.479309i	$0.840887\pi$
$860$	9.69765	−	3.52966i	0.330687	−	0.120360i
$861$	−7.24787	−	5.99655i	−0.247007	−	0.204362i
$862$	−11.3496	−	19.6581i	−0.386568	−	0.669556i
$863$	−16.1349			−0.549237			−0.274618	−	0.961553i	$-0.588552\pi$
$863$	−16.1349			−0.549237			−0.274618	+	0.961553i	$0.588552\pi$
$864$	0.939693	+	0.342020i	0.0319690	+	0.0116358i
$865$	5.07893	+	1.84858i	0.172689	+	0.0628536i
$866$	27.3371			0.928954
$867$	4.71199	+	8.16140i	0.160028	+	0.277176i
$868$	−4.77680	+	1.77621i	−0.162135	+	0.0602886i
$869$	−5.93427	+	2.15990i	−0.201306	+	0.0732695i
$870$	−1.28432	−	7.28372i	−0.0435424	−	0.246941i
$871$	11.2058	−	4.07857i	0.379693	−	0.138197i
$872$	4.43893	+	3.72470i	0.150321	+	0.126134i
$873$	−0.414463	−	0.717871i	−0.0140274	−	0.0242963i
$874$	0.376022	+	0.494621i	0.0127191	+	0.0167308i
$875$	23.1419	−	19.6934i	0.782340	−	0.665759i
$876$	1.63475	−	9.27115i	0.0552332	−	0.313243i
$877$	−7.07661	+	40.1335i	−0.238960	+	1.35521i	0.595151	+	0.803614i	$0.297092\pi$
$877$	−7.07661	+	40.1335i	−0.238960	+	1.35521i	−0.834111	+	0.551597i	$0.814019\pi$
$878$	−1.68868	+	1.41697i	−0.0569900	+	0.0478203i
$879$	−5.05638	+	28.6762i	−0.170548	+	0.967223i
$880$	4.09057	+	1.48884i	0.137893	+	0.0501889i
$881$	−17.6236	−	30.5249i	−0.593753	−	1.02841i	−0.993722	−	0.111881i	$-0.964312\pi$
$881$	−17.6236	−	30.5249i	−0.593753	−	1.02841i	0.399969	−	0.916529i	$-0.369021\pi$
$882$	−6.54402	+	2.48512i	−0.220349	+	0.0836782i
$883$	−2.08935	−	11.8493i	−0.0703121	−	0.398760i	−0.999570	−	0.0293277i	$-0.990663\pi$
$883$	−2.08935	−	11.8493i	−0.0703121	−	0.398760i	0.929258	−	0.369432i	$-0.120448\pi$
$884$	−11.9245	+	10.0059i	−0.401065	+	0.336534i
$885$	2.95246	+	5.11380i	0.0992457	+	0.171899i
$886$	9.65598			0.324399
$887$	−49.8318	−	18.1373i	−1.67319	−	0.608991i	−0.680837	−	0.732435i	$-0.738384\pi$
$887$	−49.8318	−	18.1373i	−1.67319	−	0.608991i	−0.992352	+	0.123444i	$0.960606\pi$
$888$	7.06631	−	2.57193i	0.237130	−	0.0863082i
$889$	−21.7690	+	8.09461i	−0.730108	+	0.271485i
$890$	−5.74343	−	4.81931i	−0.192520	−	0.161544i
$891$	2.80314	−	1.02026i	0.0939087	−	0.0341800i
$892$	−14.1859	+	24.5708i	−0.474980	+	0.822690i
$893$	0.314423	−	0.340057i	0.0105218	−	0.0113796i
$894$	−3.12585	−	5.41414i	−0.104544	−	0.181076i
$895$	4.15899	−	23.5868i	0.139020	−	0.788421i
$896$	1.33873	+	2.28206i	0.0447238	+	0.0762383i
$897$	−0.405616	−	0.147632i	−0.0135431	−	0.00492929i
$898$	10.6777	+	8.95970i	0.356321	+	0.298989i
$899$	−1.69529	−	9.61446i	−0.0565410	−	0.320660i
$900$	−2.87050			−0.0956833
$901$	−14.3605			−0.478418
$902$	1.84174	+	10.4450i	0.0613231	+	0.347781i
$903$	17.5376	−	6.52119i	0.583613	−	0.217012i
$904$	−1.47177	+	2.54918i	−0.0489504	+	0.0847845i
$905$	12.3404	−	21.3742i	0.410208	−	0.710502i
$906$	2.96024	+	16.7883i	0.0983473	+	0.557755i
$907$	9.71989	−	55.1243i	0.322744	−	1.83037i	−0.202334	−	0.979317i	$-0.564853\pi$
$907$	9.71989	−	55.1243i	0.322744	−	1.83037i	0.525078	−	0.851054i	$-0.324036\pi$
$908$	−1.07495	−	6.09634i	−0.0356734	−	0.202314i
$909$	−0.421921	−	0.354033i	−0.0139942	−	0.0117425i
$910$	11.6914	−	0.0810565i	0.387565	−	0.00268700i
$911$	−3.01112			−0.0997628			−0.0498814	−	0.998755i	$-0.515884\pi$
$911$	−3.01112			−0.0997628			−0.0498814	+	0.998755i	$0.515884\pi$
$912$	1.29208	+	4.16299i	0.0427851	+	0.137851i
$913$	6.97051	−	12.0733i	0.230690	−	0.399567i
$914$	−22.1455	−	18.5823i	−0.732509	−	0.614648i
$915$	0.0765455	−	0.434111i	0.00253052	−	0.0143513i
$916$	25.6525	+	9.33676i	0.847584	+	0.308495i
$917$	−10.9918	+	0.0762063i	−0.362981	+	0.00251655i
$918$	−3.93779	+	3.30420i	−0.129967	+	0.109055i
$919$	−18.8939	+	32.7251i	−0.623251	+	1.07950i	0.365625	+	0.930762i	$0.380855\pi$
$919$	−18.8939	+	32.7251i	−0.623251	+	1.07950i	−0.988876	+	0.148740i	$0.952478\pi$
$920$	−0.104004	−	0.180140i	−0.00342891	−	0.00593904i
$921$	24.4544	+	8.90069i	0.805801	+	0.293288i
$922$	−24.8839	+	20.8801i	−0.819509	+	0.687650i
$923$	−24.2827	+	42.0588i	−0.799274	+	1.38438i
$924$	7.43495	+	2.64787i	0.244592	+	0.0871086i
$925$	−16.5355	+	13.8750i	−0.543685	+	0.456206i
$926$	23.7362	+	19.9171i	0.780021	+	0.654515i
$927$	−1.97026	+	1.65325i	−0.0647119	+	0.0542997i
$928$	−4.76265	+	1.73346i	−0.156342	+	0.0569037i
$929$	39.1492	−	14.2491i	1.28444	−	0.467499i	0.392544	−	0.919733i	$-0.371595\pi$
$929$	39.1492	−	14.2491i	1.28444	−	0.467499i	0.891899	+	0.452234i	$0.149373\pi$
$930$	2.81092			0.0921738
$931$	−25.8864	−	16.1522i	−0.848394	−	0.529366i
$932$	−7.58352			−0.248406
$933$	−14.6346	+	5.32657i	−0.479117	+	0.174384i
$934$	34.2875	−	12.4796i	1.12192	−	0.408346i
$935$	−17.1416	+	14.3835i	−0.560589	+	0.470390i
$936$	−2.31976	−	1.94651i	−0.0758236	−	0.0636235i
$937$	42.5816	−	35.7302i	1.39108	−	1.16726i	0.426182	−	0.904637i	$-0.359858\pi$
$937$	42.5816	−	35.7302i	1.39108	−	1.16726i	0.964900	−	0.262619i	$-0.0845862\pi$
$938$	9.81492	+	3.49547i	0.320469	+	0.114131i
$939$	−4.66904	+	8.08702i	−0.152368	+	0.263910i
$940$	−0.118776	+	0.0996652i	−0.00387406	+	0.00325072i
$941$	18.4850	+	6.72799i	0.602593	+	0.219326i	0.625259	−	0.780417i	$-0.284993\pi$
$941$	18.4850	+	6.72799i	0.602593	+	0.219326i	−0.0226659	+	0.999743i	$0.507215\pi$
$942$	9.13247	+	15.8179i	0.297552	+	0.515375i
$943$	0.253401	−	0.438904i	0.00825189	−	0.0142927i
$944$	3.09976	−	2.60101i	0.100889	−	0.0846557i
$945$	3.86080	−	0.0267670i	0.125592	−	0.000870730i
$946$	−19.8238	−	7.21527i	−0.644527	−	0.234589i
$947$	−5.20363	+	29.5112i	−0.169095	+	0.958987i	0.775646	+	0.631169i	$0.217424\pi$
$947$	−5.20363	+	29.5112i	−0.169095	+	0.958987i	−0.944741	+	0.327818i	$0.893687\pi$
$948$	1.62172	+	1.36079i	0.0526711	+	0.0441963i
$949$	−14.2541	+	24.6889i	−0.462708	+	0.801434i
$950$	−7.57234	−	9.96069i	−0.245679	−	0.323167i
$951$	−1.92197			−0.0623242
$952$	−13.6000	+	0.0942887i	−0.440777	+	0.00305592i
$953$	−32.2126	−	27.0296i	−1.04347	−	0.875575i	−0.0510782	−	0.998695i	$-0.516266\pi$
$953$	−32.2126	−	27.0296i	−1.04347	−	0.875575i	−0.992392	+	0.123119i	$0.960710\pi$
$954$	−0.485111	−	2.75120i	−0.0157060	−	0.0890734i
$955$	5.41017	−	30.6826i	0.175069	−	0.992866i
$956$	−0.848881	−	4.81424i	−0.0274548	−	0.155704i
$957$	−7.55948	+	13.0934i	−0.244363	+	0.423250i
$958$	−14.6194	+	25.3216i	−0.472332	+	0.818104i
$959$	41.1720	−	15.3094i	1.32951	−	0.494368i
$960$	−0.253401	−	1.43711i	−0.00817849	−	0.0463825i
$961$	−27.2896			−0.880310
$962$	−22.7717			−0.734189
$963$	3.35286	+	19.0150i	0.108045	+	0.612751i
$964$	4.80060	+	4.02818i	0.154617	+	0.129739i
$965$	17.7183	+	6.44895i	0.570374	+	0.207599i
$966$	−0.190824	−	0.325288i	−0.00613967	−	0.0104660i
$967$	−4.23976	+	24.0449i	−0.136341	+	0.773231i	0.837575	+	0.546323i	$0.183973\pi$
$967$	−4.23976	+	24.0449i	−0.136341	+	0.773231i	−0.973916	+	0.226908i	$0.927138\pi$
$968$	1.05074	+	1.81994i	0.0337721	+	0.0584949i
$969$	−21.8535	−	4.94777i	−0.702035	−	0.158945i
$970$	−0.604818	+	1.04758i	−0.0194195	+	0.0336356i
$971$	20.1406	−	7.33059i	0.646344	−	0.235250i	0.00201450	−	0.999998i	$-0.499359\pi$
$971$	20.1406	−	7.33059i	0.646344	−	0.235250i	0.644330	+	0.764748i	$0.277137\pi$
$972$	−0.766044	−	0.642788i	−0.0245709	−	0.0206174i
$973$	−4.91321	+	1.82694i	−0.157510	+	0.0585689i
$974$	6.38226	−	2.32295i	0.204501	−	0.0744323i
$975$	8.16830	+	2.97302i	0.261595	+	0.0952128i
$976$	−0.302072			−0.00966909
$977$	8.27785	+	14.3377i	0.264832	+	0.458702i	0.967520	−	0.252796i	$-0.0813502\pi$
$977$	8.27785	+	14.3377i	0.264832	+	0.458702i	−0.702688	+	0.711498i	$0.748017\pi$
$978$	13.3696	−	11.2185i	0.427514	−	0.358727i
$979$	2.66139	+	15.0935i	0.0850583	+	0.482390i
$980$	7.91540	+	6.45692i	0.252848	+	0.206259i
$981$	−2.89731	−	5.01828i	−0.0925038	−	0.160221i
$982$	−32.8119	−	11.9425i	−1.04707	−	0.381102i
$983$	−3.15391	+	17.8867i	−0.100594	+	0.570497i	0.892295	+	0.451453i	$0.149094\pi$
$983$	−3.15391	+	17.8867i	−0.100594	+	0.570497i	−0.992889	+	0.119044i	$0.962017\pi$
$984$	2.72366	−	2.28542i	0.0868270	−	0.0728565i
$985$	3.04271	−	17.2560i	0.0969487	−	0.549823i
$986$	4.52410	−	25.6575i	0.144077	−	0.817100i
$987$	−0.214090	+	0.182187i	−0.00681455	+	0.00579907i
$988$	0.634923	−	13.1845i	0.0201996	−	0.419453i
$989$	0.504026	+	0.872998i	0.0160271	+	0.0277597i
$990$	−3.33466	−	2.79811i	−0.105982	−	0.0889299i
$991$	10.9735	−	3.99404i	0.348586	−	0.126875i	−0.161793	−	0.986825i	$-0.551728\pi$
$991$	10.9735	−	3.99404i	0.348586	−	0.126875i	0.510379	+	0.859950i	$0.329505\pi$
$992$	−0.334488	−	1.89698i	−0.0106200	−	0.0602290i
$993$	27.4371	−	9.98629i	0.870690	−	0.316905i
$994$	−39.7709	+	14.7885i	−1.26146	+	0.469062i
$995$	−4.46923	−	7.74094i	−0.141684	−	0.245404i
$996$	−4.67343			−0.148083
$997$	−44.5040	−	16.1981i	−1.40946	−	0.513000i	−0.478485	−	0.878096i	$-0.658814\pi$
$997$	−44.5040	−	16.1981i	−1.40946	−	0.513000i	−0.930970	+	0.365096i	$0.881036\pi$
$998$	−22.4709	−	8.17876i	−0.711305	−	0.258894i
$999$	−7.51981			−0.237916

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	798.2.bp.f.739.4	yes	42
7.2	even	3		798.2.bq.e.625.4	yes	42
19.9	even	9		798.2.bq.e.655.4	yes	42
133.9	even	9	inner	798.2.bp.f.541.4	✓	42

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
798.2.bp.f.541.4	✓	42	133.9	even	9	inner
798.2.bp.f.739.4	yes	42	1.1	even	1	trivial
798.2.bq.e.625.4	yes	42	7.2	even	3
798.2.bq.e.655.4	yes	42	19.9	even	9

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:	\( N \)	\(=\)	\( 798 = 2 \cdot 3 \cdot 7 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	798.bp (of order \(9\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.939693 + 0.342020i) q^{2} +(0.939693 - 0.342020i) q^{3} +(0.766044 - 0.642788i) q^{4} +(1.11787 + 0.938007i) q^{5} +(-0.766044 + 0.642788i) q^{6} +(2.49241 + 0.887642i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(0.766044 - 0.642788i) q^{9} +O(q^{10})\)	\(q+(-0.939693 + 0.342020i) q^{2} +(0.939693 - 0.342020i) q^{3} +(0.766044 - 0.642788i) q^{4} +(1.11787 + 0.938007i) q^{5} +(-0.766044 + 0.642788i) q^{6} +(2.49241 + 0.887642i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(0.766044 - 0.642788i) q^{9} +(-1.37128 - 0.499103i) q^{10} +(1.49152 + 2.58339i) q^{11} +(0.500000 - 0.866025i) q^{12} +(-2.31976 + 1.94651i) q^{13} +(-2.64569 + 0.0183426i) q^{14} +(1.37128 + 0.499103i) q^{15} +(0.173648 - 0.984808i) q^{16} +(3.93779 + 3.30420i) q^{17} +(-0.500000 + 0.866025i) q^{18} +(-4.32412 + 0.549556i) q^{19} +1.45928 q^{20} +(2.64569 - 0.0183426i) q^{21} +(-2.28514 - 1.91746i) q^{22} +(0.0247520 + 0.140376i) q^{23} +(-0.173648 + 0.984808i) q^{24} +(-0.498457 - 2.82689i) q^{25} +(1.51411 - 2.62252i) q^{26} +(0.500000 - 0.866025i) q^{27} +(2.47986 - 0.922115i) q^{28} +(0.880103 + 4.99131i) q^{29} -1.45928 q^{30} -1.92624 q^{31} +(0.173648 + 0.984808i) q^{32} +(2.28514 + 1.91746i) q^{33} +(-4.83042 - 1.75813i) q^{34} +(1.95358 + 3.33017i) q^{35} +(0.173648 - 0.984808i) q^{36} +(-3.75991 - 6.51235i) q^{37} +(3.87538 - 1.99535i) q^{38} +(-1.51411 + 2.62252i) q^{39} +(-1.37128 + 0.499103i) q^{40} +(-2.72366 - 2.28542i) q^{41} +(-2.47986 + 0.922115i) q^{42} +(6.64550 - 2.41876i) q^{43} +(2.80314 + 1.02026i) q^{44} +1.45928 q^{45} +(-0.0712706 - 0.123444i) q^{46} +(-0.0813938 + 0.0682975i) q^{47} +(-0.173648 - 0.984808i) q^{48} +(5.42418 + 4.42473i) q^{49} +(1.43525 + 2.48593i) q^{50} +(4.83042 + 1.75813i) q^{51} +(-0.525846 + 2.98222i) q^{52} +(-2.14005 + 1.79572i) q^{53} +(-0.173648 + 0.984808i) q^{54} +(-0.755906 + 4.28696i) q^{55} +(-2.01492 + 1.71467i) q^{56} +(-3.87538 + 1.99535i) q^{57} +(-2.53416 - 4.38929i) q^{58} +(3.09976 + 2.60101i) q^{59} +(1.37128 - 0.499103i) q^{60} +(-0.0524543 - 0.297483i) q^{61} +(1.81007 - 0.658813i) q^{62} +(2.47986 - 0.922115i) q^{63} +(-0.500000 - 0.866025i) q^{64} -4.41903 q^{65} +(-2.80314 - 1.02026i) q^{66} +(-3.70044 - 1.34685i) q^{67} +5.14043 q^{68} +(0.0712706 + 0.123444i) q^{69} +(-2.97475 - 2.46117i) q^{70} +(15.0704 - 5.48517i) q^{71} +(0.173648 + 0.984808i) q^{72} +(8.84643 - 3.21984i) q^{73} +(5.76051 + 4.83364i) q^{74} +(-1.43525 - 2.48593i) q^{75} +(-2.95922 + 3.20047i) q^{76} +(1.42435 + 7.76279i) q^{77} +(0.525846 - 2.98222i) q^{78} +(-0.367615 + 2.08485i) q^{79} +(1.11787 - 0.938007i) q^{80} +(0.173648 - 0.984808i) q^{81} +(3.34106 + 1.21605i) q^{82} +(-2.33671 - 4.04731i) q^{83} +(2.01492 - 1.71467i) q^{84} +(1.30259 + 7.38736i) q^{85} +(-5.41746 + 4.54579i) q^{86} +(2.53416 + 4.38929i) q^{87} -2.98304 q^{88} +(4.82797 + 1.75724i) q^{89} +(-1.37128 + 0.499103i) q^{90} +(-7.50957 + 2.79237i) q^{91} +(0.109193 + 0.0916238i) q^{92} +(-1.81007 + 0.658813i) q^{93} +(0.0531260 - 0.0920170i) q^{94} +(-5.34930 - 3.44172i) q^{95} +(0.500000 + 0.866025i) q^{96} +(0.143942 - 0.816333i) q^{97} +(-6.61041 - 2.30271i) q^{98} +(2.80314 + 1.02026i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 42 q + 6 q^{5} - 21 q^{8}+O(q^{10}) \) 42 * q + 6 * q^5 - 21 * q^8	\( 42 q + 6 q^{5} - 21 q^{8} - 3 q^{10} - 9 q^{11} + 21 q^{12} - 24 q^{13} - 3 q^{14} + 3 q^{15} - 21 q^{18} + 18 q^{19} - 6 q^{20} + 3 q^{21} - 3 q^{22} + 15 q^{23} - 18 q^{25} + 9 q^{26} + 21 q^{27} - 12 q^{28} + 9 q^{29} + 6 q^{30} - 6 q^{31} + 3 q^{33} + 9 q^{34} + 12 q^{35} - 15 q^{37} + 9 q^{38} - 9 q^{39} - 3 q^{40} + 3 q^{41} + 12 q^{42} + 6 q^{44} - 6 q^{45} - 18 q^{46} + 15 q^{47} - 30 q^{50} - 9 q^{51} + 21 q^{52} + 12 q^{53} - 15 q^{55} - 9 q^{57} - 18 q^{58} + 6 q^{59} + 3 q^{60} - 3 q^{61} + 6 q^{62} - 12 q^{63} - 21 q^{64} + 72 q^{65} - 6 q^{66} + 3 q^{67} - 36 q^{68} + 18 q^{69} - 6 q^{70} + 12 q^{71} + 9 q^{73} + 12 q^{74} + 30 q^{75} + 51 q^{77} - 21 q^{78} - 51 q^{79} + 6 q^{80} + 12 q^{82} + 24 q^{83} - 6 q^{85} + 9 q^{86} + 18 q^{87} + 18 q^{88} + 12 q^{89} - 3 q^{90} + 6 q^{92} - 6 q^{93} + 30 q^{94} - 21 q^{95} + 21 q^{96} - 27 q^{97} + 36 q^{98} + 6 q^{99}+O(q^{100}) \) 42 * q + 6 * q^5 - 21 * q^8 - 3 * q^10 - 9 * q^11 + 21 * q^12 - 24 * q^13 - 3 * q^14 + 3 * q^15 - 21 * q^18 + 18 * q^19 - 6 * q^20 + 3 * q^21 - 3 * q^22 + 15 * q^23 - 18 * q^25 + 9 * q^26 + 21 * q^27 - 12 * q^28 + 9 * q^29 + 6 * q^30 - 6 * q^31 + 3 * q^33 + 9 * q^34 + 12 * q^35 - 15 * q^37 + 9 * q^38 - 9 * q^39 - 3 * q^40 + 3 * q^41 + 12 * q^42 + 6 * q^44 - 6 * q^45 - 18 * q^46 + 15 * q^47 - 30 * q^50 - 9 * q^51 + 21 * q^52 + 12 * q^53 - 15 * q^55 - 9 * q^57 - 18 * q^58 + 6 * q^59 + 3 * q^60 - 3 * q^61 + 6 * q^62 - 12 * q^63 - 21 * q^64 + 72 * q^65 - 6 * q^66 + 3 * q^67 - 36 * q^68 + 18 * q^69 - 6 * q^70 + 12 * q^71 + 9 * q^73 + 12 * q^74 + 30 * q^75 + 51 * q^77 - 21 * q^78 - 51 * q^79 + 6 * q^80 + 12 * q^82 + 24 * q^83 - 6 * q^85 + 9 * q^86 + 18 * q^87 + 18 * q^88 + 12 * q^89 - 3 * q^90 + 6 * q^92 - 6 * q^93 + 30 * q^94 - 21 * q^95 + 21 * q^96 - 27 * q^97 + 36 * q^98 + 6 * q^99

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