LMFDB - Embedded newform 663.2.ck.a.32.77

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [663,2,Mod(2,663)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(663, base_ring=CyclotomicField(24))

chi = DirichletCharacter(H, H._module([12, 2, 21]))

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

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

chi := DirichletCharacter("663.2");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 663 = 3 \cdot 13 \cdot 17 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	663.ck (of order $24$, 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:	$5.29408165401$
Analytic rank:	$0$
Dimension:	$640$
Relative dimension:	$80$ over $\Q(\zeta_{24})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{24}]$

Embedding invariants

Embedding label			32.77
Character	$\chi$	$=$	663.32
Dual form			663.2.ck.a.518.77

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(2.28090 + 1.31688i) q^{2} +(-1.43093 - 0.975929i) q^{3} +(2.46834 + 4.27530i) q^{4} +(-0.168352 - 0.0697335i) q^{5} +(-1.97863 - 4.11036i) q^{6} +(2.41829 - 3.15158i) q^{7} +7.73453i q^{8} +(1.09513 + 2.79297i) q^{9} +O(q^{10})$	\(q+(2.28090 + 1.31688i) q^{2} +(-1.43093 - 0.975929i) q^{3} +(2.46834 + 4.27530i) q^{4} +(-0.168352 - 0.0697335i) q^{5} +(-1.97863 - 4.11036i) q^{6} +(2.41829 - 3.15158i) q^{7} +7.73453i q^{8} +(1.09513 + 2.79297i) q^{9} +(-0.292163 - 0.380754i) q^{10} +(-1.31444 - 0.173050i) q^{11} +(0.640355 - 8.52658i) q^{12} +(3.15150 + 1.75158i) q^{13} +(9.66614 - 4.00384i) q^{14} +(0.172844 + 0.264083i) q^{15} +(-5.24875 + 9.09111i) q^{16} +(4.09732 + 0.460427i) q^{17} +(-1.18013 + 7.81265i) q^{18} +(3.03047 + 5.24893i) q^{19} +(-0.117418 - 0.891879i) q^{20} +(-6.53612 + 2.14961i) q^{21} +(-2.77023 - 2.12567i) q^{22} +(0.509490 + 0.663981i) q^{23} +(7.54835 - 11.0676i) q^{24} +(-3.51205 - 3.51205i) q^{25} +(4.88165 + 8.14533i) q^{26} +(1.15869 - 5.06532i) q^{27} +(19.4431 + 2.55973i) q^{28} +(-7.59867 - 1.00038i) q^{29} +(0.0464761 + 0.829963i) q^{30} +(-4.47044 - 1.85172i) q^{31} +(-10.5472 + 6.08943i) q^{32} +(1.71199 + 1.53042i) q^{33} +(8.73925 + 6.44586i) q^{34} +(-0.626894 + 0.361937i) q^{35} +(-9.23764 + 11.5760i) q^{36} +(3.04982 + 3.97460i) q^{37} +15.9631i q^{38} +(-2.80017 - 5.58203i) q^{39} +(0.539356 - 1.30212i) q^{40} +(-3.75385 - 0.494204i) q^{41} +(-17.7390 - 3.70423i) q^{42} +(2.34445 - 8.74960i) q^{43} +(-2.50466 - 6.04678i) q^{44} +(0.0103975 - 0.546568i) q^{45} +(0.287715 + 2.18541i) q^{46} +(-2.02188 - 2.02188i) q^{47} +(16.3829 - 7.88634i) q^{48} +(-2.27258 - 8.48139i) q^{49} +(-3.38570 - 12.6356i) q^{50} +(-5.41363 - 4.65753i) q^{51} +(0.290477 + 17.7971i) q^{52} +(-3.65296 + 3.65296i) q^{53} +(9.31328 - 10.0276i) q^{54} +(0.209221 + 0.120794i) q^{55} +(24.3760 + 18.7043i) q^{56} +(0.786186 - 10.4684i) q^{57} +(-16.0144 - 12.2883i) q^{58} +(7.26933 - 4.19695i) q^{59} +(-0.702393 + 1.39081i) q^{60} +(0.760979 + 5.78021i) q^{61} +(-7.75814 - 10.1106i) q^{62} +(11.4506 + 3.30285i) q^{63} -11.0812 q^{64} +(-0.408417 - 0.514646i) q^{65} +(1.88950 + 5.74524i) q^{66} +(-2.55776 - 9.54569i) q^{67} +(8.14513 + 18.6537i) q^{68} +(-0.0810476 - 1.44734i) q^{69} -1.90651 q^{70} +(-9.67717 + 1.27402i) q^{71} +(-21.6023 + 8.47029i) q^{72} +(-2.22928 - 0.923397i) q^{73} +(1.72227 + 13.0819i) q^{74} +(1.59799 + 8.45302i) q^{75} +(-14.9605 + 25.9123i) q^{76} +(-3.72409 + 3.72409i) q^{77} +(0.963951 - 16.4195i) q^{78} +(-1.35753 + 3.27737i) q^{79} +(1.51759 - 1.16449i) q^{80} +(-6.60140 + 6.11732i) q^{81} +(-7.91136 - 6.07060i) q^{82} +2.42471i q^{83} +(-25.3236 - 22.6379i) q^{84} +(-0.657682 - 0.363234i) q^{85} +(16.8696 - 16.8696i) q^{86} +(9.89687 + 8.84724i) q^{87} +(1.33846 - 10.1666i) q^{88} +(-14.9146 + 3.99637i) q^{89} +(0.743480 - 1.23298i) q^{90} +(13.1415 - 5.69638i) q^{91} +(-1.58112 + 3.81715i) q^{92} +(4.58974 + 7.01250i) q^{93} +(-1.94914 - 7.27430i) q^{94} +(-0.144158 - 1.09499i) q^{95} +(21.0352 + 1.57976i) q^{96} +(12.6483 - 1.66519i) q^{97} +(5.98543 - 22.3379i) q^{98} +(-0.956158 - 3.86072i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 640 q - 4 q^{3} + 304 q^{4} - 16 q^{6} - 16 q^{7} - 4 q^{9}+O(q^{10}) $ 640 * q - 4 * q^3 + 304 * q^4 - 16 * q^6 - 16 * q^7 - 4 * q^9	$ 640 q - 4 q^{3} + 304 q^{4} - 16 q^{6} - 16 q^{7} - 4 q^{9} - 56 q^{10} - 16 q^{12} + 4 q^{15} - 288 q^{16} - 8 q^{19} - 32 q^{21} - 8 q^{22} + 24 q^{24} - 32 q^{25} - 64 q^{27} - 24 q^{28} - 32 q^{30} - 32 q^{31} - 48 q^{33} - 4 q^{36} + 80 q^{37} + 36 q^{39} + 32 q^{40} - 4 q^{42} - 8 q^{43} - 104 q^{45} - 96 q^{46} + 76 q^{48} - 8 q^{49} + 64 q^{51} + 32 q^{52} - 72 q^{54} + 68 q^{57} - 144 q^{58} + 168 q^{60} - 8 q^{61} + 16 q^{63} - 480 q^{64} - 120 q^{66} - 64 q^{67} - 24 q^{69} - 128 q^{70} + 208 q^{72} + 32 q^{73} + 32 q^{75} + 104 q^{76} - 180 q^{78} - 64 q^{79} + 48 q^{81} - 56 q^{82} - 32 q^{84} + 56 q^{85} - 76 q^{87} + 56 q^{88} - 16 q^{90} - 108 q^{93} + 40 q^{94} + 128 q^{96} - 192 q^{97} - 20 q^{99}+O(q^{100}) $ 640 * q - 4 * q^3 + 304 * q^4 - 16 * q^6 - 16 * q^7 - 4 * q^9 - 56 * q^10 - 16 * q^12 + 4 * q^15 - 288 * q^16 - 8 * q^19 - 32 * q^21 - 8 * q^22 + 24 * q^24 - 32 * q^25 - 64 * q^27 - 24 * q^28 - 32 * q^30 - 32 * q^31 - 48 * q^33 - 4 * q^36 + 80 * q^37 + 36 * q^39 + 32 * q^40 - 4 * q^42 - 8 * q^43 - 104 * q^45 - 96 * q^46 + 76 * q^48 - 8 * q^49 + 64 * q^51 + 32 * q^52 - 72 * q^54 + 68 * q^57 - 144 * q^58 + 168 * q^60 - 8 * q^61 + 16 * q^63 - 480 * q^64 - 120 * q^66 - 64 * q^67 - 24 * q^69 - 128 * q^70 + 208 * q^72 + 32 * q^73 + 32 * q^75 + 104 * q^76 - 180 * q^78 - 64 * q^79 + 48 * q^81 - 56 * q^82 - 32 * q^84 + 56 * q^85 - 76 * q^87 + 56 * q^88 - 16 * q^90 - 108 * q^93 + 40 * q^94 + 128 * q^96 - 192 * q^97 - 20 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/663\mathbb{Z}\right)^\times$.

$n$	$443$	$547$	$613$
$\chi(n)$	$-1$	$e\left(\frac{3}{8}\right)$	$e\left(\frac{5}{12}\right)$

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 $

$2$	2.28090	+	1.31688i	1.61284	+	0.931174i	0.988708	+	0.149857i	$0.0478813\pi$
$2$	2.28090	+	1.31688i	1.61284	+	0.931174i	0.624134	+	0.781317i	$0.285452\pi$
$3$	−1.43093	−	0.975929i	−0.826148	−	0.563453i
$3$	−1.43093	−	0.975929i	−0.826148	−	0.563453i
$4$	2.46834	+	4.27530i	1.23417	+	2.13765i
$5$	−0.168352	−	0.0697335i	−0.0752891	−	0.0311858i	0.344721	−	0.938705i	$-0.387973\pi$
$5$	−0.168352	−	0.0697335i	−0.0752891	−	0.0311858i	−0.420010	+	0.907519i	$0.637973\pi$
$6$	−1.97863	−	4.11036i	−0.807774	−	1.67805i
$7$	2.41829	−	3.15158i	0.914028	−	1.19118i	−0.0670844	−	0.997747i	$-0.521370\pi$
$7$	2.41829	−	3.15158i	0.914028	−	1.19118i	0.981113	−	0.193437i	$-0.0619637\pi$
$8$			7.73453i			2.73457i
$9$	1.09513	+	2.79297i	0.365042	+	0.930991i
$10$	−0.292163	−	0.380754i	−0.0923900	−	0.120405i
$11$	−1.31444	−	0.173050i	−0.396320	−	0.0521765i	−0.0702673	−	0.997528i	$-0.522385\pi$
$11$	−1.31444	−	0.173050i	−0.396320	−	0.0521765i	−0.326052	+	0.945352i	$0.605719\pi$
$12$	0.640355	−	8.52658i	0.184855	−	2.46141i
$13$	3.15150	+	1.75158i	0.874070	+	0.485800i
$13$	3.15150	+	1.75158i	0.874070	+	0.485800i
$14$	9.66614	−	4.00384i	2.58338	−	1.07007i
$15$	0.172844	+	0.264083i	0.0446283	+	0.0681859i
$16$	−5.24875	+	9.09111i	−1.31219	+	2.27278i
$17$	4.09732	+	0.460427i	0.993745	+	0.111670i
$17$	4.09732	+	0.460427i	0.993745	+	0.111670i
$18$	−1.18013	+	7.81265i	−0.278160	+	1.84146i
$19$	3.03047	+	5.24893i	0.695237	+	1.20419i	0.970101	+	0.242703i	$0.0780341\pi$
$19$	3.03047	+	5.24893i	0.695237	+	1.20419i	−0.274863	+	0.961483i	$0.588633\pi$
$20$	−0.117418	−	0.891879i	−0.0262555	−	0.199430i
$21$	−6.53612	+	2.14961i	−1.42630	+	0.469084i
$22$	−2.77023	−	2.12567i	−0.590615	−	0.453195i
$23$	0.509490	+	0.663981i	0.106236	+	0.138450i	0.843445	−	0.537215i	$-0.180524\pi$
$23$	0.509490	+	0.663981i	0.106236	+	0.138450i	−0.737209	+	0.675664i	$0.763857\pi$
$24$	7.54835	−	11.0676i	1.54080	−	2.25916i
$25$	−3.51205	−	3.51205i	−0.702411	−	0.702411i
$26$	4.88165	+	8.14533i	0.957371	+	1.59743i
$27$	1.15869	−	5.06532i	0.222990	−	0.974821i
$28$	19.4431	+	2.55973i	3.67440	+	0.483744i
$29$	−7.59867	−	1.00038i	−1.41104	−	0.185767i	−0.613814	−	0.789450i	$-0.710366\pi$
$29$	−7.59867	−	1.00038i	−1.41104	−	0.185767i	−0.797224	+	0.603684i	$0.793699\pi$
$30$	0.0464761	+	0.829963i	0.00848533	+	0.151530i
$31$	−4.47044	−	1.85172i	−0.802914	−	0.332578i	−0.0567911	−	0.998386i	$-0.518087\pi$
$31$	−4.47044	−	1.85172i	−0.802914	−	0.332578i	−0.746123	+	0.665808i	$0.768087\pi$
$32$	−10.5472	+	6.08943i	−1.86450	+	1.07647i
$33$	1.71199	+	1.53042i	0.298020	+	0.266413i
$34$	8.73925	+	6.44586i	1.49877	+	1.10546i
$35$	−0.626894	+	0.361937i	−0.105964	+	0.0611786i
$36$	−9.23764	+	11.5760i	−1.53961	+	1.92933i
$37$	3.04982	+	3.97460i	0.501387	+	0.653420i	0.973653	−	0.228036i	$-0.0732305\pi$
$37$	3.04982	+	3.97460i	0.501387	+	0.653420i	−0.472266	+	0.881456i	$0.656564\pi$
$38$			15.9631i			2.58955i
$39$	−2.80017	−	5.58203i	−0.448386	−	0.893840i
$40$	0.539356	−	1.30212i	0.0852796	−	0.205883i
$41$	−3.75385	−	0.494204i	−0.586253	−	0.0771817i	−0.168436	−	0.985713i	$-0.553872\pi$
$41$	−3.75385	−	0.494204i	−0.586253	−	0.0771817i	−0.417818	+	0.908531i	$0.637205\pi$
$42$	−17.7390	−	3.70423i	−2.73719	−	0.571576i
$43$	2.34445	−	8.74960i	0.357525	−	1.33430i	−0.519752	−	0.854317i	$-0.673976\pi$
$43$	2.34445	−	8.74960i	0.357525	−	1.33430i	0.877277	−	0.479985i	$-0.159358\pi$
$44$	−2.50466	−	6.04678i	−0.377591	−	0.911586i
$45$	0.0103975	−	0.546568i	0.00154997	−	0.0814776i
$46$	0.287715	+	2.18541i	0.0424213	+	0.322221i
$47$	−2.02188	−	2.02188i	−0.294922	−	0.294922i	0.544099	−	0.839021i	$-0.316872\pi$
$47$	−2.02188	−	2.02188i	−0.294922	−	0.294922i	−0.839021	+	0.544099i	$0.816872\pi$
$48$	16.3829	−	7.88634i	2.36466	−	1.13829i
$49$	−2.27258	−	8.48139i	−0.324655	−	1.21163i
$50$	−3.38570	−	12.6356i	−0.478810	−	1.78694i
$51$	−5.41363	−	4.65753i	−0.758060	−	0.652184i
$52$	0.290477	+	17.7971i	0.0402819	+	2.46802i
$53$	−3.65296	+	3.65296i	−0.501772	+	0.501772i	−0.911988	−	0.410216i	$-0.865453\pi$
$53$	−3.65296	+	3.65296i	−0.501772	+	0.501772i	0.410216	+	0.911988i	$0.365453\pi$
$54$	9.31328	−	10.0276i	1.26738	−	1.36459i
$55$	0.209221	+	0.120794i	0.0282114	+	0.0162878i
$56$	24.3760	+	18.7043i	3.25738	+	2.49947i
$57$	0.786186	−	10.4684i	0.104133	−	1.38657i
$58$	−16.0144	−	12.2883i	−2.10280	−	1.61354i
$59$	7.26933	−	4.19695i	0.946386	−	0.546396i	0.0544297	−	0.998518i	$-0.482666\pi$
$59$	7.26933	−	4.19695i	0.946386	−	0.546396i	0.891956	+	0.452121i	$0.149333\pi$
$60$	−0.702393	+	1.39081i	−0.0906786	+	0.179553i
$61$	0.760979	+	5.78021i	0.0974334	+	0.740080i	0.968517	+	0.248946i	$0.0800842\pi$
$61$	0.760979	+	5.78021i	0.0974334	+	0.740080i	−0.871084	+	0.491134i	$0.836582\pi$
$62$	−7.75814	−	10.1106i	−0.985285	−	1.28405i
$63$	11.4506	+	3.30285i	1.44264	+	0.416119i
$64$	−11.0812			−1.38514
$65$	−0.408417	−	0.514646i	−0.0506579	−	0.0638340i
$66$	1.88950	+	5.74524i	0.232582	+	0.707190i
$67$	−2.55776	−	9.54569i	−0.312480	−	1.16619i	−0.926313	−	0.376756i	$-0.877040\pi$
$67$	−2.55776	−	9.54569i	−0.312480	−	1.16619i	0.613832	−	0.789436i	$-0.289627\pi$
$68$	8.14513	+	18.6537i	0.987742	+	2.26210i
$69$	−0.0810476	−	1.44734i	−0.00975699	−	0.174239i
$70$	−1.90651			−0.227872
$71$	−9.67717	+	1.27402i	−1.14847	+	0.151199i	−0.680639	−	0.732619i	$-0.738298\pi$
$71$	−9.67717	+	1.27402i	−1.14847	+	0.151199i	−0.467831	+	0.883818i	$0.654964\pi$
$72$	−21.6023	+	8.47029i	−2.54586	+	0.998233i
$73$	−2.22928	−	0.923397i	−0.260917	−	0.108075i	0.248390	−	0.968660i	$-0.420098\pi$
$73$	−2.22928	−	0.923397i	−0.260917	−	0.108075i	−0.509308	+	0.860585i	$0.670098\pi$
$74$	1.72227	+	13.0819i	0.200209	+	1.52074i
$75$	1.59799	+	8.45302i	0.184520	+	0.976071i
$76$	−14.9605	+	25.9123i	−1.71608	+	2.97235i
$77$	−3.72409	+	3.72409i	−0.424399	+	0.424399i
$78$	0.963951	−	16.4195i	0.109146	−	1.85915i
$79$	−1.35753	+	3.27737i	−0.152734	+	0.368733i	−0.981664	−	0.190620i	$-0.938950\pi$
$79$	−1.35753	+	3.27737i	−0.152734	+	0.368733i	0.828930	+	0.559353i	$0.188950\pi$
$80$	1.51759	−	1.16449i	0.169672	−	0.130194i
$81$	−6.60140	+	6.11732i	−0.733488	+	0.679702i
$82$	−7.91136	−	6.07060i	−0.873664	−	0.670386i
$83$			2.42471i			0.266147i	0.991106	+	0.133073i	$0.0424846\pi$
$83$			2.42471i			0.266147i	−0.991106	+	0.133073i	$0.957515\pi$
$84$	−25.3236	−	22.6379i	−2.76303	−	2.47000i
$85$	−0.657682	−	0.363234i	−0.0713357	−	0.0393982i
$86$	16.8696	−	16.8696i	1.81910	−	1.81910i
$87$	9.89687	+	8.84724i	1.06106	+	0.948524i
$88$	1.33846	−	10.1666i	0.142680	−	1.08376i
$89$	−14.9146	+	3.99637i	−1.58095	+	0.423614i	−0.939220	−	0.343317i	$-0.888450\pi$
$89$	−14.9146	+	3.99637i	−1.58095	+	0.423614i	−0.641730	+	0.766931i	$0.721783\pi$
$90$	0.743480	−	1.23298i	0.0783697	−	0.129967i
$91$	13.1415	−	5.69638i	1.37760	−	0.597143i
$92$	−1.58112	+	3.81715i	−0.164843	+	0.397966i
$93$	4.58974	+	7.01250i	0.475934	+	0.727163i
$94$	−1.94914	−	7.27430i	−0.201039	−	0.750287i
$95$	−0.144158	−	1.09499i	−0.0147903	−	0.112344i
$96$	21.0352	+	1.57976i	2.14689	+	0.161234i
$97$	12.6483	−	1.66519i	1.28424	−	0.169074i	0.542671	−	0.839946i	$-0.317413\pi$
$97$	12.6483	−	1.66519i	1.28424	−	0.169074i	0.741573	+	0.670872i	$0.234080\pi$
$98$	5.98543	−	22.3379i	0.604620	−	2.25647i
$99$	−0.956158	−	3.86072i	−0.0960975	−	0.388017i
$100$	6.34612	−	23.6840i	0.634612	−	2.36840i
$101$	4.92070	−	8.52290i	0.489628	−	0.848060i	−0.510301	−	0.859996i	$-0.670466\pi$
$101$	4.92070	−	8.52290i	0.489628	−	0.848060i	0.999929	+	0.0119358i	$0.00379936\pi$
$102$	−6.21457	−	17.7525i	−0.615334	−	1.75776i
$103$		−	14.4932i		−	1.42806i	−0.700115	−	0.714030i	$-0.746868\pi$
$103$		−	14.4932i		−	1.42806i	0.700115	−	0.714030i	$-0.253132\pi$
$104$	−13.5476	+	24.3754i	−1.32845	+	2.39020i
$105$	1.25027	+	0.0938963i	0.122014	+	0.00916334i
$106$	−13.1425	+	3.52153i	−1.27652	+	0.342041i
$107$	−13.8513	−	1.82356i	−1.33906	−	0.176290i	−0.573260	−	0.819374i	$-0.694321\pi$
$107$	−13.8513	−	1.82356i	−1.33906	−	0.176290i	−0.765796	+	0.643084i	$0.777655\pi$
$108$	24.5158	−	7.54919i	2.35903	−	0.726421i
$109$	−3.65205	+	1.51273i	−0.349803	+	0.144893i	−0.550665	−	0.834726i	$-0.685626\pi$
$109$	−3.65205	+	1.51273i	−0.349803	+	0.144893i	0.200862	+	0.979620i	$0.435626\pi$
$110$	0.318142	+	0.551038i	0.0303337	+	0.0525394i
$111$	−0.485152	−	8.66378i	−0.0460486	−	0.822329i
$112$	15.9583	+	38.5268i	1.50792	+	3.64044i
$113$	−0.481175	−	3.65489i	−0.0452651	−	0.343823i	−0.999059	−	0.0433624i	$-0.986193\pi$
$113$	−0.481175	−	3.65489i	−0.0452651	−	0.343823i	0.953794	−	0.300460i	$-0.0971403\pi$
$114$	15.5788	−	22.8420i	1.45909	−	2.13935i
$115$	−0.0394718	−	0.147311i	−0.00368076	−	0.0137368i
$116$	−14.4792	−	34.9559i	−1.34436	−	3.24557i
$117$	−1.44082	+	10.7203i	−0.133203	+	0.991089i
$118$	22.1075			2.03516
$119$	11.3596	−	11.7996i	1.04133	−	1.08166i
$120$	−2.04256	+	1.33687i	−0.186459	+	0.122039i
$121$	−8.92737	−	2.39208i	−0.811579	−	0.217462i
$122$	−5.87612	+	14.1862i	−0.531999	+	1.28436i
$123$	4.88920	+	4.37066i	0.440844	+	0.394090i
$124$	−3.11794	−	23.6831i	−0.279999	−	2.12681i
$125$	0.695019	+	1.67793i	0.0621644	+	0.150078i
$126$	21.7683	+	22.6125i	1.93927	+	2.01449i
$127$	14.8371	−	3.97558i	1.31658	−	0.352776i	0.468883	−	0.883261i	$-0.344657\pi$
$127$	14.8371	−	3.97558i	1.31658	−	0.352776i	0.847694	+	0.530485i	$0.177990\pi$
$128$	−4.18063	−	2.41369i	−0.369519	−	0.213342i
$129$	−11.8937	+	10.2321i	−1.04719	+	0.900883i
$130$	−0.253832	−	1.71169i	−0.0222625	−	0.150125i
$131$	5.93533	+	14.3292i	0.518573	+	1.25194i	0.938780	+	0.344517i	$0.111957\pi$
$131$	5.93533	+	14.3292i	0.518573	+	1.25194i	−0.420208	+	0.907428i	$0.638043\pi$
$132$	−2.31723	+	11.0969i	−0.201689	+	0.965861i
$133$	23.8710	+	3.14267i	2.06988	+	0.272504i
$134$	6.73653	−	25.1411i	0.581947	−	2.17186i
$135$	−0.548290	+	0.771954i	−0.0471893	+	0.0664392i
$136$	−3.56118	+	31.6908i	−0.305369	+	2.71746i
$137$	−14.5003	−	3.88535i	−1.23885	−	0.331948i	−0.420828	−	0.907140i	$-0.638260\pi$
$137$	−14.5003	−	3.88535i	−1.23885	−	0.331948i	−0.818018	+	0.575193i	$0.804927\pi$
$138$	1.72111	−	3.40796i	0.146510	−	0.290105i
$139$	−0.857573	+	1.11761i	−0.0727384	+	0.0947945i	−0.828305	−	0.560277i	$-0.810695\pi$
$139$	−0.857573	+	1.11761i	−0.0727384	+	0.0947945i	0.755567	+	0.655071i	$0.227361\pi$
$140$	−3.09478	−	1.78677i	−0.261556	−	0.151010i
$141$	0.919962	+	4.86639i	0.0774748	+	0.409824i
$142$	−23.7504	−	9.83775i	−1.99309	−	0.825565i
$143$	−3.83936	−	2.84772i	−0.321064	−	0.238138i
$144$	−31.1393	−	4.70371i	−2.59494	−	0.391976i
$145$	1.20949	+	0.698298i	0.100443	+	0.0579905i
$146$	−3.86876	−	5.04187i	−0.320181	−	0.417268i
$147$	−5.02532	+	14.3542i	−0.414482	+	1.18391i
$148$	−9.46459	+	22.8495i	−0.777985	+	1.87822i
$149$	−17.2634	−	4.62571i	−1.41427	−	0.378953i	−0.530823	−	0.847483i	$-0.678117\pi$
$149$	−17.2634	−	4.62571i	−1.41427	−	0.378953i	−0.883448	+	0.468530i	$0.844784\pi$
$150$	−7.48675	+	21.3849i	−0.611290	+	1.74607i
$151$		−	20.3377i		−	1.65506i	−0.561421	−	0.827530i	$-0.689745\pi$
$151$		−	20.3377i		−	1.65506i	0.561421	−	0.827530i	$-0.310255\pi$
$152$	−40.5980	+	23.4393i	−3.29293	+	1.90117i
$153$	3.20112	+	11.9479i	0.258795	+	0.965932i
$154$	−13.3985	+	3.59010i	−1.07968	+	0.289299i
$155$	0.623478	+	0.623478i	0.0500790	+	0.0500790i
$156$	16.9531	−	25.7499i	1.35733	−	2.06164i
$157$			13.1336i			1.04817i	0.851665	+	0.524087i	$0.175593\pi$
$157$			13.1336i			1.04817i	−0.851665	+	0.524087i	$0.824407\pi$
$158$	−7.41230	+	5.68766i	−0.589691	+	0.452486i
$159$	8.79215	−	1.66210i	0.697263	−	0.131813i
$160$	2.20027	−	0.289672i	0.173947	−	0.0229005i
$161$	3.32468			0.262022
$162$	−23.1129	+	5.25976i	−1.81592	+	0.413246i
$163$	−6.17225	+	8.04383i	−0.483448	+	0.630041i	−0.969853	−	0.243692i	$-0.921641\pi$
$163$	−6.17225	+	8.04383i	−0.483448	+	0.630041i	0.486405	+	0.873733i	$0.338308\pi$
$164$	−7.15293	−	17.2687i	−0.558550	−	1.34846i
$165$	−0.181495	−	0.377033i	−0.0141294	−	0.0293519i
$166$	−3.19306	+	5.53054i	−0.247829	+	0.429253i
$167$	7.03807	−	5.40050i	0.544622	−	0.417903i	−0.299466	−	0.954107i	$-0.596809\pi$
$167$	7.03807	−	5.40050i	0.544622	−	0.417903i	0.844089	+	0.536203i	$0.180142\pi$
$168$	−16.6262	−	50.5538i	−1.28274	−	3.90031i
$169$	6.86395	+	11.0402i	0.527996	+	0.849247i
$170$	−1.02177	−	1.69459i	−0.0783665	−	0.129969i
$171$	−11.3414	+	14.2123i	−0.867296	+	1.08684i
$172$	43.1941	−	11.5738i	3.29352	−	0.882495i
$173$	−5.78001	+	7.53266i	−0.439446	+	0.572697i	−0.959597	−	0.281377i	$-0.909209\pi$
$173$	−5.78001	+	7.53266i	−0.439446	+	0.572697i	0.520151	+	0.854074i	$0.325876\pi$
$174$	10.9230	+	33.2127i	0.828074	+	2.51785i
$175$	−19.5617	+	2.57534i	−1.47872	+	0.194678i
$176$	8.47240	−	11.0414i	0.638631	−	0.832281i
$177$	−14.4978	−	1.08880i	−1.08972	−	0.0818394i
$178$	−39.2816	−	10.5255i	−2.94428	−	0.788917i
$179$	4.44956	+	16.6060i	0.332575	+	1.24119i	0.906474	+	0.422262i	$0.138764\pi$
$179$	4.44956	+	16.6060i	0.332575	+	1.24119i	−0.573899	+	0.818926i	$0.694570\pi$
$180$	2.36241	−	1.30467i	0.176083	−	0.0972441i
$181$	−8.08598	−	3.34932i	−0.601026	−	0.248953i	0.0613601	−	0.998116i	$-0.480456\pi$
$181$	−8.08598	−	3.34932i	−0.601026	−	0.248953i	−0.662386	+	0.749163i	$0.730456\pi$
$182$	37.4759	+	4.31286i	2.77790	+	0.319691i
$183$	4.55216	−	9.01374i	0.336506	−	0.666315i
$184$	−5.13558	+	3.94067i	−0.378600	+	0.290510i
$185$	−0.236279	−	0.881804i	−0.0173716	−	0.0648315i
$186$	1.23413	+	22.0390i	0.0904911	+	1.61598i
$187$	−5.30601	−	1.31424i	−0.388014	−	0.0961071i
$188$	3.65345	−	13.6349i	0.266455	−	0.994424i
$189$	−13.1617	−	15.9011i	−0.957372	−	1.15664i
$190$	1.11316	−	2.68740i	0.0807571	−	0.194965i
$191$	11.7866	+	20.4150i	0.852848	+	1.47718i	0.878627	+	0.477508i	$0.158460\pi$
$191$	11.7866	+	20.4150i	0.852848	+	1.47718i	−0.0257795	+	0.999668i	$0.508207\pi$
$192$	15.8564	+	10.8144i	1.14433	+	0.780463i
$193$	−1.24429	+	9.45131i	−0.0895658	+	0.680320i	0.886482	+	0.462763i	$0.153142\pi$
$193$	−1.24429	+	9.45131i	−0.0895658	+	0.680320i	−0.976048	+	0.217557i	$0.930191\pi$
$194$	31.0425	+	12.8582i	2.22872	+	0.923166i
$195$	0.0821582	+	1.13501i	0.00588347	+	0.0812797i
$196$	30.6509	−	30.6509i	2.18935	−	2.18935i
$197$	16.0451	+	2.11238i	1.14317	+	0.150501i	0.678235	−	0.734845i	$-0.262745\pi$
$197$	16.0451	+	2.11238i	1.14317	+	0.150501i	0.464932	+	0.885346i	$0.346079\pi$
$198$	2.90319	−	10.0651i	0.206321	−	0.715293i
$199$	−5.19985	+	6.77658i	−0.368608	+	0.480379i	−0.940425	−	0.340002i	$-0.889572\pi$
$199$	−5.19985	+	6.77658i	−0.368608	+	0.480379i	0.571817	+	0.820381i	$0.306239\pi$
$200$	27.1641	−	27.1641i	1.92079	−	1.92079i
$201$	−5.65594	+	16.1554i	−0.398939	+	1.13952i
$202$	22.4473	−	12.9599i	1.57938	−	0.911858i
$203$	−21.5286	+	21.5286i	−1.51101	+	1.51101i
$204$	6.54960	−	34.6413i	0.458564	−	2.42537i
$205$	0.597504	+	0.344969i	0.0417315	+	0.0240937i
$206$	19.0858	−	33.0576i	1.32977	−	2.30323i
$207$	−1.29652	+	2.15014i	−0.0901146	+	0.149445i
$208$	−32.4653	+	19.4571i	−2.25106	+	1.34910i
$209$	−3.07505	−	7.42384i	−0.212706	−	0.513518i
$210$	2.72809	+	1.86062i	0.188256	+	0.128395i
$211$	4.17411	−	3.20291i	0.287357	−	0.220497i	−0.455016	−	0.890483i	$-0.650367\pi$
$211$	4.17411	−	3.20291i	0.287357	−	0.220497i	0.742374	+	0.669986i	$0.233700\pi$
$212$	−24.6342	−	6.60072i	−1.69189	−	0.453339i
$213$	15.0907	+	7.62119i	1.03400	+	0.522195i
$214$	−29.1921	−	22.3999i	−1.99553	−	1.53122i
$215$	−1.00483	+	1.30952i	−0.0685290	+	0.0893087i
$216$	39.1778	+	8.96193i	2.66571	+	0.609782i
$217$	−16.6466	+	9.61094i	−1.13005	+	0.652433i
$218$	−10.3221	−	1.35892i	−0.699098	−	0.0920379i
$219$	2.28877	+	3.49693i	0.154661	+	0.236301i
$220$			1.19264i			0.0804080i
$221$	12.1062	+	8.62781i	0.814354	+	0.580369i
$222$	10.3026	−	20.4001i	0.691463	−	1.36917i
$223$	−8.38795	+	14.5283i	−0.561698	+	0.972890i	0.435650	+	0.900116i	$0.356519\pi$
$223$	−8.38795	+	14.5283i	−0.561698	+	0.972890i	−0.997348	+	0.0727741i	$0.976815\pi$
$224$	−6.31489	+	47.9663i	−0.421931	+	3.20489i
$225$	5.96293	−	13.6552i	0.397529	−	0.910348i
$226$	3.71553	−	8.97009i	0.247154	−	0.596682i
$227$	16.2575	+	12.4748i	1.07905	+	0.827981i	0.985844	−	0.167666i	$-0.0536230\pi$
$227$	16.2575	+	12.4748i	1.07905	+	0.827981i	0.0932023	+	0.995647i	$0.470290\pi$
$228$	46.6960	−	22.4784i	3.09252	−	1.48867i
$229$	12.5667			0.830431			0.415215	−	0.909723i	$-0.363706\pi$
$229$	12.5667			0.830431			0.415215	+	0.909723i	$0.363706\pi$
$230$	0.103959	−	0.387981i	0.00685486	−	0.0255827i
$231$	8.96335	−	1.69447i	0.589745	−	0.111488i
$232$	7.73750	−	58.7722i	0.507992	−	3.85858i
$233$	5.16362	−	2.13884i	0.338280	−	0.140120i	−0.207076	−	0.978325i	$-0.566395\pi$
$233$	5.16362	−	2.13884i	0.338280	−	0.140120i	0.545356	+	0.838205i	$0.316395\pi$
$234$	−17.4037	+	22.5545i	−1.13771	+	1.47443i
$235$	0.199394	+	0.481380i	0.0130070	+	0.0314018i
$236$	35.8864	+	20.7190i	2.33601	+	1.34869i
$237$	5.14101	−	3.36484i	0.333945	−	0.218570i
$238$	41.4487	−	11.9545i	2.68672	−	0.774893i
$239$	−10.1727	−	10.1727i	−0.658015	−	0.658015i	0.296895	−	0.954910i	$-0.404049\pi$
$239$	−10.1727	−	10.1727i	−0.658015	−	0.658015i	−0.954910	+	0.296895i	$0.904049\pi$
$240$	−3.30802	+	0.185242i	−0.213532	+	0.0119573i
$241$	7.96271	−	1.04831i	0.512923	−	0.0675276i	0.130378	−	0.991464i	$-0.458381\pi$
$241$	7.96271	−	1.04831i	0.512923	−	0.0675276i	0.382545	+	0.923937i	$0.375048\pi$
$242$	−17.2124	−	17.2124i	−1.10645	−	1.10645i
$243$	15.4162	−	2.31097i	0.988950	−	0.148249i
$244$	−22.8338	+	17.5210i	−1.46178	+	1.12166i
$245$	−0.208844	+	1.58633i	−0.0133426	+	0.101347i
$246$	5.39614	+	16.4075i	0.344045	+	1.04611i
$247$	0.356628	+	21.8501i	0.0226917	+	1.39029i
$248$	14.3221	−	34.5767i	0.909457	−	2.19562i
$249$	2.36635	−	3.46960i	0.149961	−	0.219877i
$250$	−0.624354	+	4.74244i	−0.0394876	+	0.299938i
$251$	−2.52233	+	1.45627i	−0.159208	+	0.0919188i	−0.577487	−	0.816400i	$-0.695967\pi$
$251$	−2.52233	+	1.45627i	−0.159208	+	0.0919188i	0.418279	+	0.908318i	$0.362633\pi$
$252$	14.1434	+	57.1073i	0.890950	+	3.59742i
$253$	−0.554794	−	0.960932i	−0.0348796	−	0.0604133i
$254$	39.0773	+	10.4707i	2.45193	+	0.656992i
$255$	0.586608	+	1.16161i	0.0367348	+	0.0727431i
$256$	4.72408	+	8.18234i	0.295255	+	0.511397i
$257$	9.59082	−	2.56985i	0.598259	−	0.160303i	0.0530338	−	0.998593i	$-0.483111\pi$
$257$	9.59082	−	2.56985i	0.598259	−	0.160303i	0.545225	+	0.838290i	$0.316444\pi$
$258$	−40.6028	+	7.67572i	−2.52782	+	0.477870i
$259$	19.9016			1.23663
$260$	1.19215	−	3.01643i	0.0739341	−	0.187071i
$261$	−5.52746	−	22.3184i	−0.342141	−	1.38148i
$262$	−5.33187	+	40.4995i	−0.329404	+	2.50207i
$263$	−10.1856	+	2.72924i	−0.628074	+	0.168292i	−0.558796	−	0.829305i	$-0.688736\pi$
$263$	−10.1856	+	2.72924i	−0.628074	+	0.168292i	−0.0692784	+	0.997597i	$0.522070\pi$
$264$	−11.8371	+	13.2415i	−0.728524	+	0.814955i
$265$	0.869714	−	0.360247i	0.0534261	−	0.0221298i
$266$	50.3088	+	38.6033i	3.08463	+	2.36692i
$267$	25.2420	+	8.83711i	1.54479	+	0.540822i
$268$	34.4972	−	34.4972i	2.10725	−	2.10725i
$269$	−9.49486	−	7.28566i	−0.578912	−	0.444215i	0.277341	−	0.960772i	$-0.410547\pi$
$269$	−9.49486	−	7.28566i	−0.578912	−	0.444215i	−0.856253	+	0.516557i	$0.827213\pi$
$270$	−2.26717	+	1.03872i	−0.137975	+	0.0632145i
$271$	−3.12922	+	0.838472i	−0.190087	+	0.0509336i	−0.352606	−	0.935772i	$-0.614705\pi$
$271$	−3.12922	+	0.838472i	−0.190087	+	0.0509336i	0.162520	+	0.986705i	$0.448038\pi$
$272$	−25.6916	+	34.8325i	−1.55778	+	2.11203i
$273$	−24.3638	−	4.67402i	−1.47457	−	0.282885i
$274$	−27.9573	−	27.9573i	−1.68896	−	1.68896i
$275$	4.00864	+	5.22416i	0.241730	+	0.315028i
$276$	5.98774	−	3.91903i	0.360420	−	0.235898i
$277$	−1.26348	+	1.64660i	−0.0759154	+	0.0989348i	−0.829767	−	0.558109i	$-0.811527\pi$
$277$	−1.26348	+	1.64660i	−0.0759154	+	0.0989348i	0.753852	+	0.657044i	$0.228194\pi$
$278$	−3.42780	+	1.41984i	−0.205586	+	0.0851564i
$279$	0.276098	−	14.5137i	0.0165295	−	0.868911i
$280$	−2.79941	−	4.84873i	−0.167297	−	0.289767i
$281$		−	14.6687i		−	0.875061i	−0.899204	−	0.437530i	$-0.855853\pi$
$281$		−	14.6687i		−	0.875061i	0.899204	−	0.437530i	$-0.144147\pi$
$282$	−4.31011	+	12.3112i	−0.256663	+	0.733124i
$283$	12.1417	−	9.31662i	0.721747	−	0.553816i	−0.181264	−	0.983435i	$-0.558019\pi$
$283$	12.1417	−	9.31662i	0.721747	−	0.553816i	0.903010	+	0.429619i	$0.141352\pi$
$284$	−29.3334	−	38.2281i	−1.74062	−	2.26842i
$285$	−0.862352	+	1.70754i	−0.0510813	+	0.101146i
$286$	−5.00711	−	11.5513i	−0.296077	−	0.683045i
$287$	−10.6354	+	10.6354i	−0.627790	+	0.627790i
$288$	−28.5581	−	22.7893i	−1.68280	−	1.34287i
$289$	16.5760	+	3.77303i	0.975060	+	0.221943i
$290$	1.83915	+	3.18550i	0.107999	+	0.187059i
$291$	−19.7240	−	9.96111i	−1.15624	−	0.583931i
$292$	−1.55483	−	11.8101i	−0.0909894	−	0.691133i
$293$	−3.07829	+	11.4883i	−0.179836	+	0.671156i	0.815842	+	0.578275i	$0.196274\pi$
$293$	−3.07829	+	11.4883i	−0.179836	+	0.671156i	−0.995677	+	0.0928804i	$0.970393\pi$
$294$	−30.3650	+	26.1227i	−1.77092	+	1.52351i
$295$	−1.51647	+	0.199647i	−0.0882923	+	0.0116239i
$296$	−30.7416	+	23.5889i	−1.78682	+	1.37108i
$297$	−2.39959	+	6.45756i	−0.139238	+	0.374706i
$298$	−33.2846	−	33.2846i	−1.92812	−	1.92812i
$299$	0.442646	+	2.98495i	0.0255989	+	0.172624i
$300$	−32.1948	+	27.6969i	−1.85877	+	1.59908i
$301$	−21.9055	−	28.5478i	−1.26261	−	1.64547i
$302$	26.7823	−	46.3884i	1.54115	−	2.66935i
$303$	−15.3589	+	7.39343i	−0.882347	+	0.424741i
$304$	−63.6248			−3.64913
$305$	0.274962	−	1.02617i	0.0157443	−	0.0587585i
$306$	−8.43253	+	31.4675i	−0.482056	+	1.79888i
$307$	−0.174869	−	0.174869i	−0.00998031	−	0.00998031i	0.702099	−	0.712079i	$-0.252246\pi$
$307$	−0.174869	−	0.174869i	−0.00998031	−	0.00998031i	−0.712079	+	0.702099i	$0.752246\pi$
$308$	−25.1139	−	6.72925i	−1.43100	−	0.383435i
$309$	−14.1444	+	20.7388i	−0.804644	+	1.17979i
$310$	0.601047	+	2.24314i	0.0341372	+	0.127402i
$311$	9.87709	−	4.09123i	0.560079	−	0.231992i	−0.0846407	−	0.996412i	$-0.526974\pi$
$311$	9.87709	−	4.09123i	0.560079	−	0.231992i	0.644719	+	0.764419i	$0.276974\pi$
$312$	43.1744	−	21.6580i	2.44427	−	1.22614i
$313$	−26.5765	−	11.0083i	−1.50219	−	0.622228i	−0.528262	−	0.849081i	$-0.677156\pi$
$313$	−26.5765	−	11.0083i	−1.50219	−	0.622228i	−0.973929	+	0.226854i	$0.927156\pi$
$314$	−17.2953	+	29.9564i	−0.976032	+	1.69054i
$315$	−1.69741	−	1.35453i	−0.0956381	−	0.0763191i
$316$	−17.3626	+	2.28583i	−0.976722	+	0.128588i
$317$	24.2500	−	10.0447i	1.36202	−	0.564166i	0.422405	−	0.906407i	$-0.361186\pi$
$317$	24.2500	−	10.0447i	1.36202	−	0.564166i	0.939612	+	0.342242i	$0.111186\pi$
$318$	22.2428	+	7.78711i	1.24732	+	0.436679i
$319$	9.81491	+	2.62990i	0.549529	+	0.147246i
$320$	1.86553	+	0.772727i	0.104286	+	0.0431968i
$321$	18.0406	+	16.1273i	1.00693	+	0.900136i
$322$	7.58328	+	4.37821i	0.422600	+	0.243988i
$323$	10.0000	+	22.9018i	0.556418	+	1.27429i
$324$	−42.4479	−	13.1233i	−2.35821	−	0.729071i
$325$	−4.91661	−	17.2199i	−0.272725	−	0.955188i
$326$	−24.6710	+	10.2191i	−1.36640	+	0.565983i
$327$	6.70215	+	1.39953i	0.370630	+	0.0773942i
$328$	3.82243	−	29.0343i	0.211059	−	1.60315i
$329$	−11.2616	+	1.48262i	−0.620874	+	0.0817396i
$330$	0.0825347	−	1.09898i	0.00454338	−	0.0604969i
$331$	20.7660	−	11.9892i	1.14140	−	0.658988i	0.194623	−	0.980878i	$-0.437652\pi$
$331$	20.7660	−	11.9892i	1.14140	−	0.658988i	0.946777	+	0.321890i	$0.104318\pi$
$332$	−10.3664	+	5.98503i	−0.568929	+	0.328471i
$333$	−7.76101	+	12.8707i	−0.425301	+	0.705312i
$334$	23.1650	−	3.04973i	1.26753	−	0.166874i
$335$	−0.235052	+	1.78539i	−0.0128422	+	0.0975465i
$336$	14.7642	−	70.7034i	0.805451	−	3.85719i
$337$	−17.1994	+	7.12422i	−0.936910	+	0.388081i	−0.798296	−	0.602266i	$-0.794265\pi$
$337$	−17.1994	+	7.12422i	−0.936910	+	0.388081i	−0.138614	+	0.990346i	$0.544265\pi$
$338$	1.11737	+	34.2206i	0.0607768	+	1.86136i
$339$	−2.87838	+	5.69948i	−0.156332	+	0.309553i
$340$	−0.0704543	−	3.70837i	−0.00382092	−	0.201115i
$341$	5.55569	+	3.20758i	0.300858	+	0.173700i
$342$	−44.5844	+	17.4816i	−2.41085	+	0.945295i
$343$	−6.53490	−	2.70684i	−0.352851	−	0.146156i
$344$	67.6741	+	18.1332i	3.64874	+	0.977677i
$345$	−0.0872833	+	0.249313i	−0.00469918	+	0.0134226i
$346$	−23.1032	+	9.56968i	−1.24204	+	0.514469i
$347$	−4.64415	+	0.611415i	−0.249311	+	0.0328225i	−0.254146	−	0.967166i	$-0.581794\pi$
$347$	−4.64415	+	0.611415i	−0.249311	+	0.0328225i	0.00483474	+	0.999988i	$0.498461\pi$
$348$	−13.3957	+	64.1501i	−0.718085	+	3.43881i
$349$	6.21754	−	10.7691i	0.332817	−	0.576456i	−0.650246	−	0.759724i	$-0.725334\pi$
$349$	6.21754	−	10.7691i	0.332817	−	0.576456i	0.983063	+	0.183268i	$0.0586675\pi$
$350$	−48.0097	−	19.8863i	−2.56623	−	1.06297i
$351$	12.5239	−	13.9338i	0.668477	−	0.743732i
$352$	14.9175	−	6.17902i	0.795103	−	0.329343i
$353$	−0.959077	−	3.57932i	−0.0510465	−	0.190508i	0.935694	−	0.352812i	$-0.114774\pi$
$353$	−0.959077	−	3.57932i	−0.0510465	−	0.190508i	−0.986741	+	0.162303i	$0.948108\pi$
$354$	−31.6343	−	21.5754i	−1.68135	−	1.14672i
$355$	1.71801	+	0.460339i	0.0911824	+	0.0244323i
$356$	−53.9001	−	53.9001i	−2.85670	−	2.85670i
$357$	−27.7703	+	5.79823i	−1.46976	+	0.306875i
$358$	−11.7191	+	43.7361i	−0.619371	+	2.31153i
$359$	31.5100			1.66303			0.831517	−	0.555499i	$-0.187473\pi$
$359$	31.5100			1.66303			0.831517	+	0.555499i	$0.187473\pi$
$360$	4.22745	+	0.0804199i	0.222806	+	0.00423850i
$361$	−8.86749	+	15.3589i	−0.466710	+	0.808366i
$362$	−14.0327	−	18.2877i	−0.737541	−	0.961182i
$363$	10.4399	+	12.1354i	0.547955	+	0.636942i
$364$	56.7914	+	42.1231i	2.97668	+	2.20785i
$365$	0.310911	+	0.310911i	0.0162738	+	0.0162738i
$366$	22.2531	−	14.5648i	1.16319	−	0.761315i
$367$	5.94374	−	4.56079i	0.310261	−	0.238071i	−0.441880	−	0.897074i	$-0.645688\pi$
$367$	5.94374	−	4.56079i	0.310261	−	0.238071i	0.752140	+	0.659003i	$0.229022\pi$
$368$	−8.71051	+	1.14676i	−0.454067	+	0.0597790i
$369$	−2.73064	−	11.0256i	−0.142152	−	0.573971i
$370$	0.622301	−	2.32246i	0.0323519	−	0.120739i
$371$	2.67867	+	20.3465i	0.139069	+	1.05634i
$372$	−18.6515	+	36.9318i	−0.967034	+	1.91482i
$373$	1.02659	+	1.77810i	0.0531547	+	0.0920666i	0.891378	−	0.453260i	$-0.149739\pi$
$373$	1.02659	+	1.77810i	0.0531547	+	0.0920666i	−0.838224	+	0.545326i	$0.816406\pi$
$374$	−10.3718	−	9.98504i	−0.536313	−	0.516314i
$375$	0.643011	−	3.07928i	0.0332049	−	0.159014i
$376$	15.6383	−	15.6383i	0.806485	−	0.806485i
$377$	−22.1950	−	16.4624i	−1.14310	−	0.847856i
$378$	−9.08067	−	53.6013i	−0.467059	−	2.75695i
$379$	4.08251	+	5.32043i	0.209705	+	0.273292i	0.886349	−	0.463017i	$-0.153233\pi$
$379$	4.08251	+	5.32043i	0.209705	+	0.273292i	−0.676645	+	0.736310i	$0.736567\pi$
$380$	4.32558	−	3.31913i	0.221897	−	0.170268i
$381$	−25.1107	−	8.79114i	−1.28646	−	0.450384i
$382$			62.0861i			3.17660i
$383$	−15.8389	−	27.4337i	−0.809328	−	1.40180i	−0.913330	−	0.407220i	$-0.866498\pi$
$383$	−15.8389	−	27.4337i	−0.809328	−	1.40180i	0.104002	−	0.994577i	$-0.466835\pi$
$384$	3.62661	+	7.53382i	0.185069	+	0.384458i
$385$	0.886649	−	0.367262i	0.0451878	−	0.0187174i
$386$	−15.2843	+	19.9189i	−0.777952	+	1.01385i
$387$	27.0049	−	3.03394i	1.37274	−	0.154224i
$388$	38.3396	+	49.9651i	1.94640	+	2.53660i
$389$	4.92013	+	4.92013i	0.249460	+	0.249460i	0.820749	−	0.571289i	$-0.193556\pi$
$389$	4.92013	+	4.92013i	0.249460	+	0.249460i	−0.571289	+	0.820749i	$0.693556\pi$
$390$	−1.30728	+	2.69704i	−0.0661964	+	0.136570i
$391$	1.78183	+	2.95512i	0.0901109	+	0.149447i
$392$	65.5995	−	17.5773i	3.31328	−	0.887790i
$393$	5.49119	−	26.2965i	0.276994	−	1.32648i
$394$	33.8156	+	25.9476i	1.70361	+	1.30722i
$395$	0.457085	−	0.457085i	0.0229984	−	0.0229984i
$396$	14.1456	−	13.6174i	0.710842	−	0.684302i
$397$	20.7451	+	15.9183i	1.04117	+	0.798916i	0.979957	−	0.199209i	$-0.0638372\pi$
$397$	20.7451	+	15.9183i	1.04117	+	0.798916i	0.0612107	+	0.998125i	$0.480504\pi$
$398$	−20.7843	+	8.60914i	−1.04182	+	0.431537i
$399$	−31.0907	−	27.7933i	−1.55648	−	1.39141i
$400$	50.3624	−	13.4946i	2.51812	−	0.674728i
$401$	−2.13107	+	16.1871i	−0.106421	+	0.808344i	0.852112	+	0.523360i	$0.175322\pi$
$401$	−2.13107	+	16.1871i	−0.106421	+	0.808344i	−0.958532	+	0.284984i	$0.908012\pi$
$402$	−34.1754	+	29.4008i	−1.70451	+	1.46638i
$403$	−10.8452	−	13.6660i	−0.540236	−	0.680752i
$404$	48.5839			2.41714
$405$	1.53794	−	0.569521i	0.0764207	−	0.0282997i
$406$	−77.4552	+	20.7541i	−3.84404	+	1.03001i
$407$	−3.32101	−	5.75215i	−0.164616	−	0.285124i
$408$	36.0238	−	41.8719i	1.78344	−	2.07297i
$409$	4.84903	+	1.29929i	0.239769	+	0.0642459i	0.376702	−	0.926334i	$-0.377058\pi$
$409$	4.84903	+	1.29929i	0.239769	+	0.0642459i	−0.136933	+	0.990580i	$0.543725\pi$
$410$	0.908566	+	1.57368i	0.0448709	+	0.0777186i
$411$	16.9571	+	19.7109i	0.836434	+	0.972269i
$412$	61.9628	−	35.7743i	3.05269	−	1.76247i
$413$	4.35234	−	33.0593i	0.214165	−	1.62674i
$414$	−5.78871	+	3.19688i	−0.284500	+	0.157118i
$415$	0.169084	−	0.408204i	0.00830000	−	0.0200380i
$416$	−43.9056	+	0.716609i	−2.15265	+	0.0351347i
$417$	2.31784	−	0.762294i	0.113505	−	0.0373297i
$418$	2.76240	−	20.9825i	0.135114	−	1.02629i
$419$	18.7943	−	14.4214i	0.918163	−	0.704531i	−0.0374058	−	0.999300i	$-0.511909\pi$
$419$	18.7943	−	14.4214i	0.918163	−	0.704531i	0.955568	+	0.294769i	$0.0952428\pi$
$420$	2.68465	+	5.57703i	0.130998	+	0.272131i
$421$	6.42988	+	6.42988i	0.313373	+	0.313373i	0.846215	−	0.532842i	$-0.178876\pi$
$421$	6.42988	+	6.42988i	0.313373	+	0.313373i	−0.532842	+	0.846215i	$0.678876\pi$
$422$	13.7386	−	1.80872i	0.668783	−	0.0880470i
$423$	3.43285	−	7.86129i	0.166911	−	0.382229i
$424$	−28.2539	−	28.2539i	−1.37213	−	1.37213i
$425$	−12.7730	−	16.0070i	−0.619579	−	0.776456i
$426$	24.3843	+	37.2559i	1.18142	+	1.80505i
$427$	20.0571	+	11.5799i	0.970629	+	0.560393i
$428$	−26.3935	−	63.7196i	−1.27578	−	3.08000i
$429$	2.71469	+	7.82183i	0.131067	+	0.377641i
$430$	−4.01641	+	1.66365i	−0.193688	+	0.0802284i
$431$	−0.967966	+	7.35244i	−0.0466253	+	0.354154i	0.952191	+	0.305505i	$0.0988251\pi$
$431$	−0.967966	+	7.35244i	−0.0466253	+	0.354154i	−0.998816	+	0.0486497i	$0.984508\pi$
$432$	39.9677	+	37.1204i	1.92294	+	1.78596i
$433$	2.74177	−	10.2324i	0.131761	−	0.491739i	−0.868229	−	0.496163i	$-0.834742\pi$
$433$	2.74177	−	10.2324i	0.131761	−	0.491739i	0.999990	+	0.00442441i	$0.00140834\pi$
$434$	−50.6258			−2.43012
$435$	−1.04920	−	2.17959i	−0.0503055	−	0.104503i
$436$	−15.4819	−	11.8797i	−0.741448	−	0.568933i
$437$	−1.94119	+	4.68645i	−0.0928598	+	0.224183i
$438$	0.615427	+	10.9902i	0.0294062	+	0.525132i
$439$	0.775403	−	5.88977i	0.0370080	−	0.281103i	−0.962928	−	0.269760i	$-0.913056\pi$
$439$	0.775403	−	5.88977i	0.0370080	−	0.281103i	0.999936	−	0.0113437i	$-0.00361090\pi$
$440$	−0.934284	+	1.61823i	−0.0445402	+	0.0771459i
$441$	21.1995	−	15.6355i	1.00950	−	0.744545i
$442$	16.2514	+	35.6216i	0.772998	+	1.69435i
$443$			12.4902i			0.593430i	0.954966	+	0.296715i	$0.0958911\pi$
$443$			12.4902i			0.593430i	−0.954966	+	0.296715i	$0.904109\pi$
$444$	35.8427	−	23.4594i	1.70102	−	1.11333i
$445$	2.78958	+	0.367256i	0.132239	+	0.0174096i
$446$	−38.2642	+	22.0918i	−1.81186	+	1.04608i
$447$	20.1883	+	23.4669i	0.954876	+	1.10995i
$448$	−26.7975	+	34.9231i	−1.26606	+	1.64996i
$449$	−20.8512	−	15.9997i	−0.984027	−	0.755070i	−0.0144594	−	0.999895i	$-0.504603\pi$
$449$	−20.8512	−	15.9997i	−0.984027	−	0.755070i	−0.969567	+	0.244825i	$0.921269\pi$
$450$	31.5831	−	23.2938i	1.48884	−	1.09808i
$451$	4.84870	+	1.29921i	0.228317	+	0.0611772i
$452$	14.4380	−	11.0787i	0.679107	−	0.521097i
$453$	−19.8482	+	29.1019i	−0.932549	+	1.36733i
$454$	20.6539	+	49.8629i	0.969335	+	2.34018i
$455$	−2.60962	+	0.0425931i	−0.122341	+	0.00199680i
$456$	80.9679	+	6.08078i	3.79167	+	0.284758i
$457$	−17.9225	+	31.0427i	−0.838381	+	1.45212i	0.0528672	+	0.998602i	$0.483164\pi$
$457$	−17.9225	+	31.0427i	−0.838381	+	1.45212i	−0.891248	+	0.453516i	$0.850169\pi$
$458$	28.6634	+	16.5488i	1.33935	+	0.773276i
$459$	7.07974	−	20.2207i	0.330454	−	0.943822i
$460$	0.532367	−	0.532367i	0.0248217	−	0.0248217i
$461$	−19.8119	+	11.4384i	−0.922733	+	0.532740i	−0.884506	−	0.466529i	$-0.845504\pi$
$461$	−19.8119	+	11.4384i	−0.922733	+	0.532740i	−0.0382273	+	0.999269i	$0.512171\pi$
$462$	22.6759	+	7.93874i	1.05498	+	0.369344i
$463$	−3.00996	+	3.00996i	−0.139885	+	0.139885i	−0.773581	−	0.633697i	$-0.781537\pi$
$463$	−3.00996	+	3.00996i	−0.139885	+	0.139885i	0.633697	+	0.773581i	$0.281537\pi$
$464$	48.9782	−	63.8296i	2.27375	−	2.96321i
$465$	−0.283684	−	1.50062i	−0.0131555	−	0.0695898i
$466$	14.5943	+	1.92138i	0.676068	+	0.0890061i
$467$	−1.71866	+	1.71866i	−0.0795302	+	0.0795302i	−0.745753	−	0.666223i	$-0.767910\pi$
$467$	−1.71866	+	1.71866i	−0.0795302	+	0.0795302i	0.666223	+	0.745753i	$0.267910\pi$
$468$	−49.3887	+	20.3014i	−2.28300	+	0.938432i
$469$	−36.2694	−	15.0233i	−1.67477	−	0.693711i
$470$	−0.179121	+	1.36056i	−0.00826224	+	0.0627579i
$471$	12.8174	−	18.7932i	0.590596	−	0.865947i
$472$	32.4614	+	56.2248i	1.49416	+	2.58796i
$473$	−4.59576	+	11.0952i	−0.211313	+	0.510156i
$474$	16.1572	−	0.904769i	0.742126	−	0.0415574i
$475$	7.79134	−	29.0777i	0.357491	−	1.33418i
$476$	78.4860	+	19.4402i	3.59740	+	0.891039i
$477$	−14.2031	−	6.20216i	−0.650313	−	0.283977i
$478$	−9.80667	−	36.5990i	−0.448547	−	1.67400i
$479$	25.2992	−	19.4128i	1.15595	−	0.886992i	0.160960	−	0.986961i	$-0.448541\pi$
$479$	25.2992	−	19.4128i	1.15595	−	0.886992i	0.994991	+	0.0999692i	$0.0318744\pi$
$480$	−3.43114	−	1.73281i	−0.156609	−	0.0790916i
$481$	2.64969	+	17.8680i	0.120815	+	0.814708i
$482$	19.5427	+	8.09483i	0.890144	+	0.368710i
$483$	−4.75739	−	3.24465i	−0.216469	−	0.147637i
$484$	−11.8090	−	44.0716i	−0.536771	−	2.00326i
$485$	−2.24549	−	0.601676i	−0.101962	−	0.0273207i
$486$	38.2061	+	15.0302i	1.73307	+	0.681784i
$487$	−4.72452	+	6.15712i	−0.214089	+	0.279006i	−0.888036	−	0.459773i	$-0.847931\pi$
$487$	−4.72452	+	6.15712i	−0.214089	+	0.279006i	0.673948	+	0.738779i	$0.264597\pi$
$488$	−44.7072	+	5.88581i	−2.02380	+	0.266438i
$489$	16.6823	−	5.48649i	0.754398	−	0.248108i
$490$	−2.56536	+	3.34324i	−0.115891	+	0.151032i
$491$	−4.40058	+	1.17913i	−0.198596	+	0.0532135i	−0.356746	−	0.934202i	$-0.616114\pi$
$491$	−4.40058	+	1.17913i	−0.198596	+	0.0532135i	0.158150	+	0.987415i	$0.449447\pi$
$492$	−6.61767	+	31.6911i	−0.298348	+	1.42874i
$493$	−30.6736	−	7.59752i	−1.38147	−	0.342175i
$494$	−27.9605	+	50.3076i	−1.25800	+	2.26345i
$495$	−0.108250	+	0.716634i	−0.00486550	+	0.0322103i
$496$	40.2984	−	30.9220i	1.80945	−	1.38844i
$497$	−19.3870	+	33.5793i	−0.869627	+	1.50624i
$498$	9.96645	−	4.79762i	0.446607	−	0.214987i
$499$	−9.24237	−	22.3131i	−0.413745	−	0.998869i	−0.984123	−	0.177487i	$-0.943203\pi$
$499$	−9.24237	−	22.3131i	−0.413745	−	0.998869i	0.570378	−	0.821382i	$-0.306797\pi$
$500$	−5.45808	+	7.11311i	−0.244093	+	0.318108i
$501$	−15.3415	+	0.859090i	−0.685408	+	0.0383813i
$502$	−7.67091			−0.342370
$503$	26.7503	−	3.52175i	1.19274	−	0.157027i	0.492097	−	0.870540i	$-0.336230\pi$
$503$	26.7503	−	3.52175i	1.19274	−	0.157027i	0.700642	+	0.713513i	$0.252897\pi$
$504$	−25.5459	+	88.5651i	−1.13791	+	3.94500i
$505$	−1.42274	+	1.09171i	−0.0633110	+	0.0485803i
$506$		−	2.92239i		−	0.129916i
$507$	0.952622	−	22.4965i	0.0423074	−	0.999105i
$508$	53.6198	+	53.6198i	2.37899	+	2.37899i
$509$	24.2601	−	6.50047i	1.07531	−	0.288128i	0.322636	−	0.946523i	$-0.395431\pi$
$509$	24.2601	−	6.50047i	1.07531	−	0.288128i	0.752673	+	0.658395i	$0.228764\pi$
$510$	−0.191710	+	3.42202i	−0.00848905	+	0.151530i
$511$	−8.30120	+	4.79270i	−0.367224	+	0.212017i
$512$			34.5389i			1.52642i
$513$	30.0989	−	9.26840i	1.32890	−	0.409210i
$514$	25.2599	+	6.76837i	1.11417	+	0.298540i
$515$	−1.01066	+	2.43996i	−0.0445351	+	0.107517i
$516$	−73.1029	−	25.5930i	−3.21818	−	1.12667i
$517$	2.30777	+	3.00754i	0.101495	+	0.132271i
$518$	45.3936	+	26.2080i	1.99448	+	1.15151i
$519$	15.6221	−	5.13783i	0.685735	−	0.225526i
$520$	3.98055	−	3.15891i	0.174558	−	0.138527i
$521$	−36.0735	−	14.9421i	−1.58041	−	0.654626i	−0.591929	−	0.805990i	$-0.701633\pi$
$521$	−36.0735	−	14.9421i	−1.58041	−	0.654626i	−0.988478	+	0.151364i	$0.951633\pi$
$522$	16.7831	−	58.1852i	0.734576	−	2.54670i
$523$	−14.5572	−	8.40463i	−0.636544	−	0.367509i	0.146738	−	0.989175i	$-0.453123\pi$
$523$	−14.5572	−	8.40463i	−0.636544	−	0.367509i	−0.783282	+	0.621667i	$0.786456\pi$
$524$	−46.6110	+	60.7446i	−2.03621	+	2.65364i
$525$	30.5048	+	15.4057i	1.33134	+	0.672359i
$526$	−26.8265	−	7.18815i	−1.16969	−	0.313418i
$527$	−17.4642	−	9.64537i	−0.760753	−	0.420159i
$528$	−22.8991	+	7.53109i	−0.996555	+	0.327749i
$529$	5.77155	−	21.5397i	0.250937	−	0.936509i
$530$	2.45814	+	0.323620i	0.106775	+	0.0140571i
$531$	19.6828	+	15.7069i	0.854161	+	0.681619i
$532$	45.4859	+	109.813i	1.97206	+	4.76098i
$533$	−10.9646	−	8.13265i	−0.474931	−	0.352264i
$534$	45.9371	+	53.3973i	1.98789	+	2.31073i
$535$	2.20472	+	1.27290i	0.0953185	+	0.0550322i
$536$	73.8314	−	19.7831i	3.18903	−	0.854499i
$537$	9.83923	−	28.1044i	0.424594	−	1.21280i
$538$	−12.0625	−	29.1215i	−0.520052	−	1.25552i
$539$	1.51948	+	11.5416i	0.0654485	+	0.497131i
$540$	−4.65370	−	0.438653i	−0.200263	−	0.0188766i
$541$	−1.11045	+	2.68086i	−0.0477418	+	0.115259i	−0.945951	−	0.324309i	$-0.894868\pi$
$541$	−1.11045	+	2.68086i	−0.0477418	+	0.115259i	0.898209	+	0.439568i	$0.144868\pi$
$542$	−8.24162	−	2.20833i	−0.354008	−	0.0948561i
$543$	8.30178	+	12.6840i	0.356263	+	0.544322i
$544$	−46.0189	+	20.0941i	−1.97305	+	0.861527i
$545$	0.720316			0.0308549
$546$	−49.4164	−	42.7452i	−2.11483	−	1.82933i
$547$	−9.84321	−	23.7636i	−0.420865	−	1.01606i	−0.982093	−	0.188397i	$-0.939671\pi$
$547$	−9.84321	−	23.7636i	−0.420865	−	1.01606i	0.561228	−	0.827661i	$-0.310329\pi$
$548$	−19.1808	−	71.5835i	−0.819361	−	3.05790i
$549$	−15.3106	+	8.45546i	−0.653441	+	0.360870i
$550$	2.26372	+	17.1947i	0.0965255	+	0.733184i
$551$	−17.7766	−	42.9165i	−0.757309	−	1.82831i
$552$	11.1945	−	0.626865i	0.476468	−	0.0266811i
$553$	7.04599	+	12.2040i	0.299626	+	0.518967i
$554$	−5.05026	+	2.09189i	−0.214565	+	0.0888758i
$555$	−0.522479	+	1.49239i	−0.0221780	+	0.0633485i
$556$	−6.89491	−	0.907732i	−0.292409	−	0.0384964i
$557$	27.9648	−	7.49314i	1.18491	−	0.317495i	0.388036	−	0.921644i	$-0.373154\pi$
$557$	27.9648	−	7.49314i	1.18491	−	0.317495i	0.796871	+	0.604150i	$0.206487\pi$
$558$	19.7425	−	32.7407i	0.835767	−	1.38602i
$559$	22.7142	−	23.4679i	0.960707	−	0.992587i
$560$		−	7.59888i		−	0.321111i
$561$	6.30993	+	7.05888i	0.266405	+	0.298026i
$562$	19.3169	−	33.4579i	0.814834	−	1.41133i
$563$	2.84262	−	10.6088i	0.119802	−	0.447107i	−0.879799	−	0.475345i	$-0.842323\pi$
$563$	2.84262	−	10.6088i	0.119802	−	0.447107i	0.999601	+	0.0282384i	$0.00898977\pi$
$564$	−18.5345	+	15.9450i	−0.780443	+	0.671407i
$565$	−0.173861	+	0.648860i	−0.00731441	+	0.0272977i
$566$	39.9628	−	5.26120i	1.67976	−	0.221145i
$567$	3.31511	+	35.5983i	0.139221	+	1.49499i
$568$	−9.85397	−	74.8484i	−0.413464	−	3.14057i
$569$	−10.4430	−	38.9740i	−0.437795	−	1.63387i	−0.734287	−	0.678839i	$-0.762484\pi$
$569$	−10.4430	−	38.9740i	−0.437795	−	1.63387i	0.296492	−	0.955035i	$-0.404183\pi$
$570$	−4.21557	+	2.75913i	−0.176571	+	0.115567i
$571$	−17.8070	+	42.9898i	−0.745198	+	1.79907i	−0.161905	+	0.986806i	$0.551764\pi$
$571$	−17.8070	+	42.9898i	−0.745198	+	1.79907i	−0.583293	+	0.812262i	$0.698236\pi$
$572$	2.69797	−	23.4436i	0.112808	−	0.980224i
$573$	3.05776	−	40.7153i	0.127740	−	1.70091i
$574$	−38.2640	+	10.2528i	−1.59711	+	0.427944i
$575$	0.542579	−	4.12129i	0.0226271	−	0.171870i
$576$	−12.1353	−	30.9494i	−0.505636	−	1.28956i
$577$	−12.3704	+	12.3704i	−0.514985	+	0.514985i	−0.916050	−	0.401065i	$-0.868640\pi$
$577$	−12.3704	+	12.3704i	−0.514985	+	0.514985i	0.401065	+	0.916050i	$0.368640\pi$
$578$	32.8396	+	30.4345i	1.36595	+	1.26591i
$579$	11.0043	−	12.3098i	0.457323	−	0.511579i
$580$			6.89456i			0.286281i
$581$	7.64168	+	5.86367i	0.317030	+	0.243266i
$582$	−31.8709	−	48.6945i	−1.32109	−	2.01845i
$583$	5.43375	−	4.16946i	0.225043	−	0.172681i
$584$	7.14204	−	17.2424i	0.295540	−	0.713496i
$585$	0.990125	−	1.70430i	0.0409366	−	0.0704641i
$586$	−22.1500	+	22.1500i	−0.915010	+	0.915010i
$587$	−5.08444	+	8.80651i	−0.209857	+	0.363483i	−0.951669	−	0.307124i	$-0.900633\pi$
$587$	−5.08444	+	8.80651i	−0.209857	+	0.363483i	0.741812	+	0.670608i	$0.233967\pi$
$588$	−73.7725	+	13.9463i	−3.04233	+	0.575134i
$589$	−3.82800	−	29.0766i	−0.157730	−	1.19808i
$590$	−3.72183	−	1.54163i	−0.153225	−	0.0634681i
$591$	−20.8979	−	18.6816i	−0.859626	−	0.768457i
$592$	−52.1412	+	6.86452i	−2.14299	+	0.282130i
$593$	37.4518			1.53796			0.768980	−	0.639273i	$-0.220765\pi$
$593$	37.4518			1.53796			0.768980	+	0.639273i	$0.220765\pi$
$594$	−13.9771	+	11.5691i	−0.573485	+	0.474686i
$595$	−2.73523	+	1.19433i	−0.112133	+	0.0489629i
$596$	−22.8357	−	85.2239i	−0.935386	−	3.49091i
$597$	14.0541	−	4.62213i	0.575196	−	0.189171i
$598$	−2.92119	+	7.39129i	−0.119456	+	0.302252i
$599$	−26.2698			−1.07335			−0.536677	−	0.843788i	$-0.680321\pi$
$599$	−26.2698			−1.07335			−0.536677	+	0.843788i	$0.680321\pi$
$600$	−65.3801	+	12.3597i	−2.66913	+	0.504583i
$601$	16.5345	+	21.5482i	0.674458	+	0.878971i	0.997730	−	0.0673353i	$-0.0214497\pi$
$601$	16.5345	+	21.5482i	0.674458	+	0.878971i	−0.323273	+	0.946306i	$0.604783\pi$
$602$	−12.3703	−	93.9617i	−0.504175	−	3.82959i
$603$	23.8598	−	17.5975i	0.971646	−	0.716626i
$604$	86.9498	−	50.2005i	3.53794	−	2.04263i
$605$	1.33613	+	1.02525i	0.0543213	+	0.0416822i
$606$	−44.7684	−	3.36216i	−1.81859	−	0.136578i
$607$	−7.89311	−	6.05660i	−0.320371	−	0.245830i	0.436038	−	0.899928i	$-0.356381\pi$
$607$	−7.89311	−	6.05660i	−0.320371	−	0.245830i	−0.756409	+	0.654099i	$0.773048\pi$
$608$	−63.9259	−	36.9076i	−2.59254	−	1.49680i
$609$	51.8163	−	9.79556i	2.09970	−	0.396936i
$610$	1.97851	−	1.97851i	0.0801075	−	0.0801075i
$611$	−2.83049	−	9.91346i	−0.114509	−	0.401056i
$612$	−43.1794	+	43.1773i	−1.74543	+	1.74534i
$613$	3.03491	+	11.3264i	0.122579	+	0.457470i	0.999742	−	0.0227227i	$-0.00723348\pi$
$613$	3.03491	+	11.3264i	0.122579	+	0.457470i	−0.877163	+	0.480192i	$0.840567\pi$
$614$	−0.168578	−	0.629141i	−0.00680325	−	0.0253901i
$615$	−0.518322	−	1.07675i	−0.0209008	−	0.0434187i
$616$	−28.8040	−	28.8040i	−1.16055	−	1.16055i
$617$	2.79700	+	21.2453i	0.112603	+	0.855305i	0.950771	+	0.309894i	$0.100293\pi$
$617$	2.79700	+	21.2453i	0.112603	+	0.855305i	−0.838168	+	0.545412i	$0.816373\pi$
$618$	−59.5724	+	28.6768i	−2.39635	+	1.15355i
$619$	16.0686	+	38.7931i	0.645853	+	1.55923i	0.818665	+	0.574271i	$0.194715\pi$
$619$	16.0686	+	38.7931i	0.645853	+	1.55923i	−0.172812	+	0.984955i	$0.555285\pi$
$620$	−1.12660	+	4.20451i	−0.0452452	+	0.168857i
$621$	3.95361	−	1.81138i	0.158653	−	0.0726882i
$622$	27.9163	+	3.67526i	1.11934	+	0.147364i
$623$	−23.4731	+	56.6691i	−0.940430	+	2.27040i
$624$	65.4442	+	3.84207i	2.61987	+	0.153806i
$625$			24.5030i			0.980121i
$626$	−46.1217	−	60.1069i	−1.84339	−	2.40236i
$627$	−2.84495	+	13.6240i	−0.113616	+	0.544092i
$628$	−56.1499	+	32.4182i	−2.24063	+	1.29363i
$629$	10.6661	+	17.6894i	0.425283	+	0.705323i
$630$	−2.08787	−	5.32483i	−0.0831828	−	0.212146i
$631$	−17.5982	+	10.1603i	−0.700575	+	0.404477i	−0.807561	−	0.589784i	$-0.799213\pi$
$631$	−17.5982	+	10.1603i	−0.700575	+	0.404477i	0.106987	+	0.994260i	$0.465880\pi$
$632$	−25.3489	−	10.4999i	−1.00833	−	0.417662i
$633$	−9.09867	+	0.509505i	−0.361640	+	0.0202510i
$634$	68.5396	+	9.02340i	2.72205	+	0.358365i
$635$	−2.77507	−	0.365345i	−0.110125	−	0.0144983i
$636$	28.8080	+	33.4864i	1.14231	+	1.32782i
$637$	7.69377	−	30.7097i	0.304838	−	1.21676i
$638$	18.9236	+	18.9236i	0.749192	+	0.749192i
$639$	−14.1560	−	25.6329i	−0.560004	−	1.01402i
$640$	0.535501	+	0.697878i	0.0211675	+	0.0275860i
$641$	7.86137	+	6.03224i	0.310505	+	0.238259i	0.752244	−	0.658885i	$-0.228971\pi$
$641$	7.86137	+	6.03224i	0.310505	+	0.238259i	−0.441739	+	0.897144i	$0.645638\pi$
$642$	19.9112	+	60.5420i	0.785831	+	2.38940i
$643$	−0.0622779	−	0.473048i	−0.00245600	−	0.0186552i	0.990173	−	0.139848i	$-0.0446614\pi$
$643$	−0.0622779	−	0.473048i	−0.00245600	−	0.0186552i	−0.992629	+	0.121193i	$0.961328\pi$
$644$	8.20646	+	14.2140i	0.323380	+	0.560110i
$645$	2.71585	−	0.893192i	0.106936	−	0.0351694i
$646$	−7.34982	+	65.4057i	−0.289175	+	2.57335i
$647$	−11.1111	+	19.2451i	−0.436824	+	0.756602i	−0.997443	−	0.0714726i	$-0.977230\pi$
$647$	−11.1111	+	19.2451i	−0.436824	+	0.756602i	0.560618	+	0.828074i	$0.310563\pi$
$648$	−47.3146	−	51.0587i	−1.85869	−	2.00577i
$649$	−10.2814	+	4.25870i	−0.403580	+	0.167168i
$650$	11.4622	−	45.7515i	0.449585	−	1.79452i
$651$	33.1998	+	2.49334i	1.30120	+	0.0977217i
$652$	−49.6250	−	6.53325i	−1.94346	−	0.255862i
$653$	11.8924	+	15.4985i	0.465387	+	0.606505i	0.965802	−	0.259281i	$-0.0834857\pi$
$653$	11.8924	+	15.4985i	0.465387	+	0.606505i	−0.500414	+	0.865786i	$0.666819\pi$
$654$	13.4439	+	12.0181i	0.525699	+	0.469945i
$655$		−	2.82623i		−	0.110430i
$656$	24.1959	−	31.5327i	0.944692	−	1.23115i
$657$	0.137682	−	7.23755i	0.00537148	−	0.282364i
$658$	−27.6391	−	11.4485i	−1.07748	−	0.446309i
$659$	−2.75075	−	4.76444i	−0.107154	−	0.185596i	0.807462	−	0.589919i	$-0.200840\pi$
$659$	−2.75075	−	4.76444i	−0.107154	−	0.185596i	−0.914616	+	0.404323i	$0.867507\pi$
$660$	1.16393	−	1.70659i	0.0453061	−	0.0664289i
$661$	22.4116	+	12.9394i	0.871711	+	0.503283i	0.867917	−	0.496710i	$-0.165459\pi$
$661$	22.4116	+	12.9394i	0.871711	+	0.503283i	0.00379484	+	0.999993i	$0.498792\pi$
$662$	63.1535			2.45453
$663$	−8.90306	−	24.1606i	−0.345766	−	0.938321i
$664$	−18.7540			−0.727797
$665$	−3.79956	−	2.19368i	−0.147341	−	0.0850672i
$666$	−34.6513	+	19.1366i	−1.34271	+	0.741528i
$667$	−3.20721	−	5.55506i	−0.124184	−	0.215093i
$668$	40.4611	+	16.7595i	1.56549	+	0.648446i
$669$	26.1812	−	12.6030i	1.01222	−	0.487261i
$670$	−2.88728	+	3.76277i	−0.111545	+	0.145369i
$671$		−	7.72945i		−	0.298392i
$672$	55.8479	−	62.4736i	2.15438	−	2.40997i
$673$	−27.9470	−	36.4212i	−1.07728	−	1.40394i	−0.908302	−	0.418315i	$-0.862621\pi$
$673$	−27.9470	−	36.4212i	−1.07728	−	1.40394i	−0.168975	−	0.985620i	$-0.554046\pi$
$674$	−48.6118	−	6.39987i	−1.87246	−	0.246514i
$675$	−21.8591	+	13.7203i	−0.841355	+	0.528094i
$676$	−30.2576	+	56.5964i	−1.16375	+	2.17679i
$677$	25.8314	−	10.6997i	0.992781	−	0.411223i	0.173636	−	0.984810i	$-0.444448\pi$
$677$	25.8314	−	10.6997i	0.992781	−	0.411223i	0.819145	+	0.573587i	$0.194448\pi$
$678$	−14.0708	+	9.20949i	−0.540387	+	0.353688i
$679$	25.3394	−	43.8891i	0.972437	−	1.68431i
$680$	2.80944	−	5.08686i	0.107737	−	0.195072i
$681$	−11.0888	−	33.7167i	−0.424924	−	1.29203i
$682$	8.44800	+	14.6324i	0.323491	+	0.560302i
$683$	−4.85669	−	36.8902i	−0.185836	−	1.41156i	−0.789218	−	0.614113i	$-0.789514\pi$
$683$	−4.85669	−	36.8902i	−0.185836	−	1.41156i	0.603382	−	0.797452i	$-0.293819\pi$
$684$	−88.7560	−	13.4070i	−3.39367	−	0.512628i
$685$	2.17021	+	1.66526i	0.0829195	+	0.0636264i
$686$	−11.3409	−	14.7797i	−0.432997	−	0.564292i
$687$	−17.9821	−	12.2642i	−0.686059	−	0.467909i
$688$	67.2382	+	67.2382i	2.56343	+	2.56343i
$689$	−17.9107	+	5.11386i	−0.682345	+	0.194823i
$690$	−0.527400	+	0.453717i	−0.0200778	+	0.0172727i
$691$	10.4814	+	1.37990i	0.398730	+	0.0524938i	0.327225	−	0.944946i	$-0.393886\pi$
$691$	10.4814	+	1.37990i	0.398730	+	0.0524938i	0.0715050	+	0.997440i	$0.477220\pi$
$692$	−46.4714	−	6.11807i	−1.76658	−	0.232574i
$693$	−14.4796	−	6.32293i	−0.550035	−	0.240188i
$694$	−11.3980	−	4.72122i	−0.432663	−	0.179215i
$695$	0.222309	−	0.128350i	0.00843265	−	0.00486859i
$696$	−68.4293	+	76.5476i	−2.59380	+	2.90153i
$697$	−15.1532	−	3.75328i	−0.573968	−	0.142166i
$698$	28.3632	−	16.3755i	1.07356	−	0.619822i
$699$	−9.47614	−	1.97879i	−0.358420	−	0.0748447i
$700$	−59.2953	−	77.2752i	−2.24115	−	2.92073i
$701$			32.6291i			1.23238i	0.787596	+	0.616192i	$0.211325\pi$
$701$			32.6291i			1.23238i	−0.787596	+	0.616192i	$0.788675\pi$
$702$	46.9150	−	15.2892i	1.77069	−	0.577053i
$703$	−11.6200	+	28.0532i	−0.438257	+	1.05805i
$704$	14.5655	+	1.91759i	0.548960	+	0.0722719i
$705$	0.184473	−	0.883417i	0.00694767	−	0.0332714i
$706$	2.52598	−	9.42708i	0.0950664	−	0.354793i
$707$	−14.9609	−	36.1188i	−0.562663	−	1.35839i
$708$	−31.1307	−	64.6701i	−1.16996	−	2.43045i
$709$	1.68176	+	12.7742i	0.0631599	+	0.479747i	0.993569	+	0.113225i	$0.0361181\pi$
$709$	1.68176	+	12.7742i	0.0631599	+	0.479747i	−0.930409	+	0.366522i	$0.880549\pi$
$710$	3.31240	+	3.31240i	0.124312	+	0.124312i
$711$	−10.6403	−	0.202413i	−0.399042	−	0.00759108i
$712$	−30.9100	−	115.358i	−1.15840	−	4.32321i
$713$	−1.04814	−	3.91171i	−0.0392532	−	0.146495i
$714$	−70.9769	−	23.3449i	−2.65625	−	0.873663i
$715$	0.447781	+	0.747150i	0.0167461	+	0.0279418i
$716$	−60.0124	+	60.0124i	−2.24277	+	2.24277i
$717$	4.62858	+	24.4842i	0.172858	+	0.914378i
$718$	71.8713	+	41.4949i	2.68221	+	1.54858i
$719$	28.7676	+	22.0742i	1.07285	+	0.823228i	0.984939	−	0.172900i	$-0.0553139\pi$
$719$	28.7676	+	22.0742i	1.07285	+	0.823228i	0.0879121	+	0.996128i	$0.471981\pi$
$720$	4.91434	+	2.96333i	0.183147	+	0.110437i
$721$	−45.6765	−	35.0488i	−1.70108	−	1.30529i
$722$	−40.4518	+	23.3548i	−1.50546	+	0.869177i
$723$	−12.4172	−	6.27098i	−0.461799	−	0.233220i
$724$	−5.63963	−	42.8372i	−0.209595	−	1.59203i
$725$	23.1736	+	30.2004i	0.860644	+	1.12161i
$726$	7.83167	+	41.4278i	0.290661	+	1.53753i
$727$	−28.3584			−1.05176			−0.525878	−	0.850560i	$-0.676263\pi$
$727$	−28.3584			−1.05176			−0.525878	+	0.850560i	$0.676263\pi$
$728$	44.0588	+	101.643i	1.63293	+	3.76715i
$729$	−24.3149	−	11.7383i	−0.900551	−	0.434751i
$730$	0.299725	+	1.11859i	0.0110933	+	0.0414008i
$731$	13.6345	−	34.7705i	0.504290	−	1.28603i
$732$	49.7727	−	2.78716i	1.83965	−	0.103016i
$733$	26.7368			0.987546			0.493773	−	0.869591i	$-0.335617\pi$
$733$	26.7368			0.987546			0.493773	+	0.869591i	$0.335617\pi$
$734$	19.5631	−	2.57553i	0.722087	−	0.0950646i
$735$	1.84699	−	2.06611i	0.0681271	−	0.0762097i
$736$	−9.41695	−	3.90063i	−0.347114	−	0.143779i
$737$	1.71015	+	12.9899i	0.0629943	+	0.478489i
$738$	8.29109	−	28.7443i	0.305199	−	1.05809i
$739$	−7.36375	+	12.7544i	−0.270880	+	0.469178i	−0.969087	−	0.246718i	$-0.920648\pi$
$739$	−7.36375	+	12.7544i	−0.270880	+	0.469178i	0.698208	+	0.715895i	$0.253981\pi$
$740$	3.18676	−	3.18676i	0.117148	−	0.117148i
$741$	20.8138	−	31.6141i	0.764616	−	1.16137i
$742$	−20.6841	+	49.9358i	−0.759337	+	1.83320i
$743$	11.8787	−	9.11482i	0.435786	−	0.334390i	−0.367458	−	0.930040i	$-0.619772\pi$
$743$	11.8787	−	9.11482i	0.435786	−	0.334390i	0.803244	+	0.595650i	$0.203105\pi$
$744$	−54.2384	+	35.4995i	−1.98848	+	1.30147i
$745$	2.58375	+	1.98258i	0.0946612	+	0.0726361i
$746$			5.40757i			0.197985i
$747$	−6.77216	+	2.65537i	−0.247780	+	0.0971549i
$748$	−7.47828	−	25.9288i	−0.273433	−	0.948050i
$749$	−39.2436	+	39.2436i	−1.43393	+	1.43393i
$750$	5.52169	−	6.17678i	0.201624	−	0.225544i
$751$	−3.84330	+	29.1928i	−0.140244	+	1.06526i	0.766100	+	0.642721i	$0.222195\pi$
$751$	−3.84330	+	29.1928i	−0.140244	+	1.06526i	−0.906345	+	0.422539i	$0.861139\pi$
$752$	28.9935	−	7.76880i	1.05729	−	0.283299i
$753$	5.03049	+	0.377795i	0.183321	+	0.0137676i
$754$	−28.9456	−	66.7772i	−1.05414	−	2.43188i
$755$	−1.41822	+	3.42389i	−0.0516143	+	0.124608i
$756$	35.4944	−	95.5196i	1.29092	−	3.47401i
$757$	−1.49817	−	5.59125i	−0.0544519	−	0.203217i	0.933341	−	0.358992i	$-0.116879\pi$
$757$	−1.49817	−	5.59125i	−0.0544519	−	0.203217i	−0.987793	+	0.155774i	$0.950213\pi$
$758$	2.30544	+	17.5116i	0.0837374	+	0.636049i
$759$	−0.143929	+	1.91647i	−0.00522428	+	0.0695633i
$760$	8.46923	−	1.11500i	0.307211	−	0.0404451i
$761$	−7.90878	+	29.5160i	−0.286693	+	1.06995i	0.660900	+	0.750474i	$0.270175\pi$
$761$	−7.90878	+	29.5160i	−0.286693	+	1.06995i	−0.947593	+	0.319479i	$0.896492\pi$
$762$	−45.6982	−	53.1195i	−1.65547	−	1.92432i
$763$	−4.06424	+	15.1679i	−0.147135	+	0.549116i
$764$	−58.1867	+	100.782i	−2.10512	+	3.64618i
$765$	0.294257	−	2.23468i	0.0106389	−	0.0807949i
$766$		−	83.4315i		−	3.01450i
$767$	30.2606	−	0.493901i	1.09265	−	0.0178337i
$768$	1.22555	−	16.3187i	0.0442234	−	0.588852i
$769$	27.5360	−	7.37824i	0.992972	−	0.266066i	0.274474	−	0.961595i	$-0.411496\pi$
$769$	27.5360	−	7.37824i	0.992972	−	0.266066i	0.718499	+	0.695528i	$0.244830\pi$
$770$	2.50600	+	0.329921i	0.0903100	+	0.0118895i
$771$	−16.2318	−	5.68267i	−0.584574	−	0.204657i
$772$	−43.4785	+	18.0094i	−1.56482	+	0.648171i
$773$	−17.1593	−	29.7207i	−0.617176	−	1.06898i	−0.989998	−	0.141078i	$-0.954943\pi$
$773$	−17.1593	−	29.7207i	−0.617176	−	1.06898i	0.372822	−	0.927903i	$-0.378390\pi$
$774$	65.5908	+	28.6421i	2.35761	+	1.02952i
$775$	9.19709	+	22.2037i	0.330369	+	0.797582i
$776$	12.8794	+	97.8289i	0.462344	+	3.51185i
$777$	−28.4778	−	19.4225i	−1.02164	−	0.696780i
$778$	4.74311	+	17.7015i	0.170049	+	0.634631i
$779$	−8.78189	−	21.2014i	−0.314644	−	0.759618i
$780$	−4.64970	+	3.15284i	−0.166486	+	0.112890i
$781$	12.9406			0.463050
$782$	0.172637	+	9.08680i	0.00617350	+	0.324943i
$783$	−13.8718	+	37.3306i	−0.495737	+	1.33409i
$784$	89.0335	+	23.8564i	3.17977	+	0.852016i
$785$	0.915850	−	2.21106i	0.0326881	−	0.0789160i
$786$	47.1542	−	52.7485i	1.68193	−	1.88148i
$787$	−3.48356	−	26.4603i	−0.124175	−	0.943206i	−0.934185	−	0.356789i	$-0.883871\pi$
$787$	−3.48356	−	26.4603i	−0.124175	−	0.943206i	0.810009	−	0.586417i	$-0.199462\pi$
$788$	30.5738	+	73.8117i	1.08915	+	2.62943i
$789$	17.2385	+	6.03512i	0.613707	+	0.214856i
$790$	1.64449	−	0.440640i	0.0585084	−	0.0156773i
$791$	−12.6823	−	7.32212i	−0.450930	−	0.260345i
$792$	29.8608	−	7.39543i	1.06106	−	0.262785i
$793$	−7.72626	+	19.5493i	−0.274368	+	0.694215i
$794$	26.3551	+	63.6269i	0.935308	+	2.25803i
$795$	−1.59608	−	0.333290i	−0.0566070	−	0.0118206i
$796$	−41.8069	−	5.50398i	−1.48181	−	0.195084i
$797$	−5.68575	+	21.2195i	−0.201400	+	0.751633i	0.789117	+	0.614242i	$0.210538\pi$
$797$	−5.68575	+	21.2195i	−0.201400	+	0.751633i	−0.990517	+	0.137391i	$0.956128\pi$
$798$	−34.3144	−	104.337i	−1.21472	−	3.69347i
$799$	−7.35337	−	9.21523i	−0.260144	−	0.326011i
$800$	58.4287	+	15.6559i	2.06577	+	0.553521i
$801$	−27.4952	−	37.2797i	−0.971494	−	1.31721i
$802$	−26.1772	+	34.1148i	−0.924349	+	1.20463i
$803$	2.77047	+	1.59953i	0.0977676	+	0.0564462i
$804$	−83.0300	+	15.6963i	−2.92824	+	0.553567i
$805$	−0.559715	−	0.231842i	−0.0197274	−	0.00817135i
$806$	−6.74029	−	45.4526i	−0.237417	−	1.60100i
$807$	6.47620	+	19.6916i	0.227973	+	0.693177i
$808$	65.9206	+	38.0593i	2.31908	+	1.33892i
$809$	6.23513	+	8.12578i	0.219215	+	0.285687i	0.889996	−	0.455969i	$-0.150707\pi$
$809$	6.23513	+	8.12578i	0.219215	+	0.285687i	−0.670780	+	0.741656i	$0.734041\pi$
$810$	4.25788	+	0.726255i	0.149606	+	0.0255180i
$811$	7.35631	−	17.7597i	0.258315	−	0.623628i	−0.740512	−	0.672043i	$-0.765417\pi$
$811$	7.35631	−	17.7597i	0.258315	−	0.623628i	0.998827	+	0.0484152i	$0.0154171\pi$
$812$	−145.181	−	38.9012i	−5.09486	−	1.36516i
$813$	5.29599	+	1.85410i	0.185738	+	0.0650262i
$814$		−	17.4935i		−	0.613146i
$815$	1.60003	−	0.923778i	0.0560466	−	0.0323585i
$816$	70.7569	−	24.7697i	2.47699	−	0.867114i
$817$	53.0308	−	14.2096i	1.85531	−	0.497130i
$818$	9.34915	+	9.34915i	0.326885	+	0.326885i
$819$	30.3014	+	30.4656i	1.05882	+	1.06455i
$820$			3.40601i			0.118943i
$821$	−7.39717	+	5.67605i	−0.258163	+	0.198096i	−0.729731	−	0.683734i	$-0.760355\pi$
$821$	−7.39717	+	5.67605i	−0.258163	+	0.198096i	0.471568	+	0.881830i	$0.343688\pi$
$822$	12.7206	+	67.2892i	0.443683	+	2.34698i
$823$	3.48830	−	0.459244i	0.121595	−	0.0160082i	−0.0694833	−	0.997583i	$-0.522135\pi$
$823$	3.48830	−	0.459244i	0.121595	−	0.0160082i	0.191078	+	0.981575i	$0.438802\pi$
$824$	112.098			3.90513
$825$	−0.637677	−	11.3875i	−0.0222011	−	0.396464i
$826$	53.4624	−	69.6736i	1.86019	−	2.42425i
$827$	−12.6955	−	30.6498i	−0.441467	−	1.06580i	−0.975434	−	0.220291i	$-0.929299\pi$
$827$	−12.6955	−	30.6498i	−0.441467	−	1.06580i	0.533967	−	0.845505i	$-0.320701\pi$
$828$	−12.3927	−	0.235750i	−0.430677	−	0.00819289i
$829$	5.31621	−	9.20794i	0.184639	−	0.319805i	−0.758816	−	0.651306i	$-0.774222\pi$
$829$	5.31621	−	9.20794i	0.184639	−	0.319805i	0.943455	+	0.331501i	$0.107555\pi$
$830$	0.923220	−	0.708411i	0.0320454	−	0.0245893i
$831$	3.41493	−	1.12311i	0.118462	−	0.0389601i
$832$	−34.9223	−	19.4095i	−1.21071	−	0.672903i
$833$	−5.40643	−	35.7973i	−0.187322	−	1.24030i
$834$	6.29061	+	1.31359i	0.217826	+	0.0454860i
$835$	−1.56147	+	0.418394i	−0.0540368	+	0.0144791i
$836$	24.1488	−	31.4714i	0.835204	−	1.08846i
$837$	−14.5594	+	20.4986i	−0.503246	+	0.708535i
$838$	61.8592	−	8.14392i	2.13689	−	0.281327i
$839$	26.2428	−	34.2003i	0.906002	−	1.18073i	−0.0769815	−	0.997033i	$-0.524528\pi$
$839$	26.2428	−	34.2003i	0.906002	−	1.18073i	0.982984	−	0.183693i	$-0.0588051\pi$
$840$	−0.726244	+	9.67022i	−0.0250578	+	0.333654i
$841$	28.7272	+	7.69744i	0.990594	+	0.265429i
$842$	6.19856	+	23.1333i	0.213616	+	0.797227i
$843$	−14.3156	+	20.9899i	−0.493055	+	0.722930i
$844$	23.9965	+	9.93968i	0.825994	+	0.342138i
$845$	−0.385684	−	2.33728i	−0.0132679	−	0.0804050i
$846$	18.1824	−	13.4102i	0.625122	−	0.461051i
$847$	−29.1278	+	22.3506i	−1.00084	+	0.767974i
$848$	−14.0360	−	52.3829i	−0.481997	−	1.79884i
$849$	−26.4662	+	1.48205i	−0.908319	+	0.0508638i
$850$	−8.05452	−	53.3310i	−0.276268	−	1.82924i
$851$	−1.08520	+	4.05004i	−0.0372003	+	0.138833i
$852$	4.66624	+	83.3290i	0.159863	+	2.85481i
$853$	−4.55386	+	10.9940i	−0.155921	+	0.376427i	−0.982465	−	0.186445i	$-0.940304\pi$
$853$	−4.55386	+	10.9940i	−0.155921	+	0.376427i	0.826544	+	0.562872i	$0.190304\pi$
$854$	30.4988	+	52.8255i	1.04365	+	1.80765i
$855$	2.90041	−	1.60178i	0.0991918	−	0.0547798i
$856$	14.1044	−	107.133i	0.482077	−	3.66174i
$857$	23.6979	+	9.81598i	0.809504	+	0.335307i	0.748756	−	0.662846i	$-0.230651\pi$
$857$	23.6979	+	9.81598i	0.809504	+	0.335307i	0.0607477	+	0.998153i	$0.480651\pi$
$858$	−4.10846	+	21.4158i	−0.140260	+	0.731122i
$859$	10.0420	−	10.0420i	0.342630	−	0.342630i	−0.514725	−	0.857355i	$-0.672106\pi$
$859$	10.0420	−	10.0420i	0.342630	−	0.342630i	0.857355	+	0.514725i	$0.172106\pi$
$860$	−8.07887	−	1.06360i	−0.275487	−	0.0362686i
$861$	25.5980	−	4.83915i	0.872377	−	0.164918i
$862$	−11.8901	+	15.4955i	−0.404979	+	0.527779i
$863$	−22.4334	+	22.4334i	−0.763641	+	0.763641i	−0.976979	−	0.213338i	$-0.931567\pi$
$863$	−22.4334	+	22.4334i	−0.763641	+	0.763641i	0.213338	+	0.976979i	$0.431567\pi$
$864$	18.6239	+	60.4807i	0.633599	+	2.05759i
$865$	1.49835	−	0.865074i	0.0509455	−	0.0294134i
$866$	19.7286	−	19.7286i	0.670405	−	0.670405i
$867$	−20.0369	−	21.5760i	−0.680490	−	0.732758i
$868$	−82.1793	−	47.4462i	−2.78935	−	1.61043i
$869$	2.35155	−	4.07300i	0.0797707	−	0.138167i
$870$	0.477125	−	6.35311i	0.0161761	−	0.215391i
$871$	8.65924	−	34.5634i	0.293407	−	1.17114i
$872$	−11.7002	−	28.2469i	−0.396220	−	0.956560i
$873$	18.5023	+	33.5029i	0.626210	+	1.13390i
$874$	−10.5992	+	8.13302i	−0.358522	+	0.275104i
$875$	6.96887	+	1.86730i	0.235591	+	0.0631264i
$876$	−9.30095	+	18.4168i	−0.314250	+	0.622247i
$877$	39.3442	+	30.1899i	1.32856	+	1.01944i	0.997110	+	0.0759677i	$0.0242046\pi$
$877$	39.3442	+	30.1899i	1.32856	+	1.01944i	0.331450	+	0.943473i	$0.392462\pi$
$878$	9.52473	−	12.4129i	0.321444	−	0.418914i
$879$	15.6166	−	13.4348i	0.526735	−	0.453145i
$880$	−2.19630	+	1.26803i	−0.0740373	+	0.0427454i
$881$	52.9316	+	6.96858i	1.78331	+	0.234777i	0.948726	−	0.316100i	$-0.102373\pi$
$881$	52.9316	+	6.96858i	1.78331	+	0.234777i	0.834586	+	0.550877i	$0.185707\pi$
$882$	68.9441	−	7.74572i	2.32147	−	0.260812i
$883$			31.0553i			1.04509i	0.852610	+	0.522547i	$0.175018\pi$
$883$			31.0553i			1.04509i	−0.852610	+	0.522547i	$0.824982\pi$
$884$	−7.00409	+	73.0541i	−0.235573	+	2.45708i
$885$	2.36481	+	1.19429i	0.0794921	+	0.0401455i
$886$	−16.4482	+	28.4890i	−0.552587	+	0.957108i
$887$	7.21893	−	54.8332i	0.242388	−	1.84112i	−0.246953	−	0.969028i	$-0.579429\pi$
$887$	7.21893	−	54.8332i	0.242388	−	1.84112i	0.489341	−	0.872093i	$-0.337237\pi$
$888$	67.0102	−	3.75242i	2.24872	−	0.125923i
$889$	23.3510	−	56.3743i	0.783167	−	1.89073i
$890$	5.87914	+	4.51122i	0.197069	+	0.151216i
$891$	9.73576	−	6.89850i	0.326160	−	0.231108i
$892$	−82.8173			−2.77293
$893$	4.48546	−	16.7400i	0.150100	−	0.560182i
$894$	15.1446	+	80.1113i	0.506510	+	2.67932i
$895$	0.408903	−	3.10592i	0.0136681	−	0.103820i
$896$	−17.7169	+	7.33858i	−0.591880	+	0.245165i
$897$	2.27970	−	4.70325i	0.0761170	−	0.157037i
$898$	−26.4898	−	63.9521i	−0.883977	−	2.13411i
$899$	32.1170	+	18.5427i	1.07116	+	0.618435i
$900$	73.0987	−	8.21248i	2.43662	−	0.273749i
$901$	−16.6492	+	13.2854i	−0.554666	+	0.442601i
$902$	9.34852	+	9.34852i	0.311272	+	0.311272i
$903$	3.48464	+	62.2282i	0.115962	+	2.07082i
$904$	28.2688	−	3.72166i	0.940207	−	0.123781i
$905$	1.12773	+	1.12773i	0.0374869	+	0.0374869i
$906$	−83.5954	+	40.2409i	−2.77727	+	1.33691i
$907$	−32.3490	+	24.8222i	−1.07413	+	0.824209i	−0.985128	−	0.171823i	$-0.945034\pi$
$907$	−32.3490	+	24.8222i	−1.07413	+	0.824209i	−0.0890019	+	0.996031i	$0.528368\pi$
$908$	−13.2044	+	100.298i	−0.438204	+	3.32849i
$909$	29.1930	+	4.40972i	0.968271	+	0.146261i
$910$	−6.00838	−	3.33940i	−0.199176	−	0.110700i
$911$	3.50037	−	8.45064i	0.115972	−	0.279982i	−0.855226	−	0.518256i	$-0.826582\pi$
$911$	3.50037	−	8.45064i	0.115972	−	0.279982i	0.971198	+	0.238274i	$0.0765815\pi$
$912$	91.0426	+	62.0932i	3.01472	+	2.05611i
$913$	0.419596	−	3.18715i	0.0138866	−	0.105479i
$914$	−81.7591	+	47.2036i	−2.70435	+	1.56136i
$915$	−1.39492	+	1.20004i	−0.0461148	+	0.0396721i
$916$	31.0189	+	53.7264i	1.02489	+	1.77517i
$917$	59.5129	+	15.9464i	1.96529	+	0.526597i
$918$	42.7764	−	36.7983i	1.41183	−	1.21453i
$919$	16.8674	+	29.2151i	0.556403	+	0.963719i	0.997793	+	0.0664031i	$0.0211523\pi$
$919$	16.8674	+	29.2151i	0.556403	+	0.963719i	−0.441390	+	0.897316i	$0.645514\pi$
$920$	1.13938	−	0.305296i	0.0375642	−	0.0100653i
$921$	0.0795658	+	0.420885i	0.00262178	+	0.0138686i
$922$	−60.2521			−1.98430
$923$	−32.7292	−	12.9352i	−1.07729	−	0.425768i
$924$	29.3690	+	34.1385i	0.966169	+	1.12307i
$925$	3.24788	−	24.6701i	0.106790	−	0.811149i
$926$	−10.8292	+	2.90167i	−0.355869	+	0.0953547i
$927$	40.4792	−	15.8719i	1.32951	−	0.521302i
$928$	86.2365	−	35.7203i	2.83085	−	1.17258i
$929$	−27.4515	−	21.0643i	−0.900655	−	0.691097i	0.0508581	−	0.998706i	$-0.483804\pi$
$929$	−27.4515	−	21.0643i	−0.900655	−	0.691097i	−0.951513	+	0.307609i	$0.900471\pi$
$930$	1.32909	−	3.79636i	0.0435825	−	0.124487i
$931$	37.6312	−	37.6312i	1.23331	−	1.23331i
$932$	21.8898	+	16.7966i	0.717023	+	0.550191i
$933$	−18.1262	−	3.78508i	−0.593425	−	0.123918i
$934$	−6.18337	+	1.65683i	−0.202326	+	0.0542131i
$935$	0.801629	+	0.591262i	0.0262161	+	0.0193363i
$936$	−82.9162	−	11.1440i	−2.71020	−	0.364254i
$937$	4.06041	+	4.06041i	0.132648	+	0.132648i	0.770313	−	0.637665i	$-0.220100\pi$
$937$	4.06041	+	4.06041i	0.132648	+	0.132648i	−0.637665	+	0.770313i	$0.720100\pi$
$938$	−62.9431	−	82.0291i	−2.05517	−	2.67835i
$939$	27.2857	+	41.6889i	0.890437	+	1.36047i
$940$	−1.56587	+	2.04068i	−0.0510731	+	0.0665597i
$941$	−19.3134	+	7.99989i	−0.629600	+	0.260789i	−0.674583	−	0.738199i	$-0.735677\pi$
$941$	−19.3134	+	7.99989i	−0.629600	+	0.260789i	0.0449831	+	0.998988i	$0.485677\pi$
$942$	53.9837	−	25.9865i	1.75889	−	0.846687i
$943$	−1.58441	−	2.74428i	−0.0515955	−	0.0893660i
$944$			88.1150i			2.86790i
$945$	1.10695	+	3.59479i	0.0360091	+	0.116938i
$946$	−25.0935	+	19.2549i	−0.815859	+	0.626031i
$947$	−20.0403	−	26.1171i	−0.651224	−	0.848691i	0.344717	−	0.938707i	$-0.387975\pi$
$947$	−20.0403	−	26.1171i	−0.651224	−	0.848691i	−0.995940	+	0.0900156i	$0.971308\pi$
$948$	27.0755	+	13.6738i	0.879370	+	0.444104i
$949$	−5.40817	−	6.81484i	−0.175557	−	0.221219i
$950$	56.0631	−	56.0631i	1.81893	−	1.81893i
$951$	−44.5030	−	9.29303i	−1.44311	−	0.301347i
$952$	91.2641	+	87.8610i	2.95789	+	2.84759i
$953$	−0.451538	−	0.782087i	−0.0146268	−	0.0253343i	0.858619	−	0.512614i	$-0.171323\pi$
$953$	−0.451538	−	0.782087i	−0.0146268	−	0.0253343i	−0.873246	+	0.487279i	$0.837989\pi$
$954$	−24.2283	−	32.8502i	−0.784420	−	1.06357i
$955$	−0.560683	−	4.25881i	−0.0181433	−	0.137812i
$956$	18.3815	−	68.6007i	0.594501	−	2.21871i
$957$	−11.4779	−	13.3419i	−0.371027	−	0.431281i
$958$	83.2693	−	10.9626i	2.69031	−	0.354186i
$959$	−47.3110	+	36.3030i	−1.52775	+	1.17228i
$960$	−1.91532	−	2.92634i	−0.0618166	−	0.0944473i
$961$	−5.36436	−	5.36436i	−0.173044	−	0.173044i
$962$	−17.4863	+	44.2444i	−0.563780	+	1.42650i
$963$	−10.0758	−	40.6833i	−0.324687	−	1.31100i
$964$	24.1365	+	31.4554i	0.777386	+	1.01311i
$965$	0.868550	−	1.50437i	0.0279596	−	0.0484275i
$966$	−6.57833	−	13.6656i	−0.211654	−	0.439685i
$967$	−48.4893			−1.55931			−0.779655	−	0.626209i	$-0.784606\pi$
$967$	−48.4893			−1.55931			−0.779655	+	0.626209i	$0.784606\pi$
$968$	18.5016	−	69.0490i	0.594665	−	2.21932i
$969$	8.04117	−	42.5303i	0.258320	−	1.36627i
$970$	−4.32940	−	4.32940i	−0.139009	−	0.139009i
$971$	0.786069	+	0.210627i	0.0252262	+	0.00675933i	0.271410	−	0.962464i	$-0.412510\pi$
$971$	0.786069	+	0.210627i	0.0252262	+	0.00675933i	−0.246184	+	0.969223i	$0.579177\pi$
$972$	47.9326	+	60.2046i	1.53744	+	1.93106i
$973$	1.44838	+	5.40542i	0.0464329	+	0.173290i
$974$	−18.8844	+	7.82216i	−0.605094	+	0.250638i
$975$	−9.77005	+	29.4387i	−0.312892	+	0.942794i
$976$	−56.5427	−	23.4208i	−1.80989	−	0.749680i
$977$	−18.3464	+	31.7769i	−0.586953	+	1.01663i	0.407676	+	0.913127i	$0.366339\pi$
$977$	−18.3464	+	31.7769i	−0.586953	+	1.01663i	−0.994629	+	0.103505i	$0.966994\pi$
$978$	45.2756	+	9.45438i	1.44776	+	0.302318i
$979$	20.2960	−	2.67202i	0.648664	−	0.0853982i
$980$	−7.29753	+	3.02274i	−0.233111	+	0.0965578i
$981$	−8.22447	−	8.54345i	−0.262587	−	0.272771i
$982$	−11.5901	−	3.10555i	−0.369854	−	0.0991021i
$983$	−7.40532	−	3.06738i	−0.236193	−	0.0978343i	0.261448	−	0.965218i	$-0.415800\pi$
$983$	−7.40532	−	3.06738i	−0.236193	−	0.0978343i	−0.497641	+	0.867383i	$0.665800\pi$
$984$	−33.8050	+	37.8156i	−1.07766	+	1.20552i
$985$	−2.55392	−	1.47450i	−0.0813745	−	0.0469816i
$986$	−59.9584	−	57.7226i	−1.90946	−	1.83826i
$987$	17.5616	+	8.86902i	0.558990	+	0.282304i
$988$	−92.5355	+	55.4583i	−2.94394	+	1.76436i
$989$	7.00404	−	2.90117i	0.222716	−	0.0922518i
$990$	−1.19063	+	1.49202i	−0.0378407	+	0.0474195i
$991$	−4.88070	+	37.0726i	−0.155041	+	1.17765i	0.720131	+	0.693838i	$0.244082\pi$
$991$	−4.88070	+	37.0726i	−0.155041	+	1.17765i	−0.875172	+	0.483812i	$0.839252\pi$
$992$	58.4264	−	7.69199i	1.85504	−	0.244221i
$993$	−41.4153	−	3.11033i	−1.31427	−	0.0987034i
$994$	−88.4399	+	51.0608i	−2.80514	+	1.61955i
$995$	1.34796	−	0.778244i	0.0427331	−	0.0246720i
$996$	20.6745	+	1.55268i	0.655097	+	0.0491985i
$997$	−50.2222	+	6.61188i	−1.59055	+	0.209400i	−0.873219	−	0.487328i	$-0.837972\pi$
$997$	−50.2222	+	6.61188i	−1.59055	+	0.209400i	−0.717335	+	0.696728i	$0.754638\pi$
$998$	8.30266	−	63.0650i	0.262816	−	1.99629i
$999$	23.6664	−	10.8430i	0.748772	−	0.343056i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	663.2.ck.a.32.77	yes	640
3.2	odd	2	inner	663.2.ck.a.32.4	yes	640
13.11	odd	12		663.2.cf.a.440.4	yes	640
17.8	even	8		663.2.cf.a.110.77	yes	640
39.11	even	12		663.2.cf.a.440.77	yes	640
51.8	odd	8		663.2.cf.a.110.4	✓	640
221.76	odd	24	inner	663.2.ck.a.518.4	yes	640
663.518	even	24	inner	663.2.ck.a.518.77	yes	640

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
663.2.cf.a.110.4	✓	640	51.8	odd	8
663.2.cf.a.110.77	yes	640	17.8	even	8
663.2.cf.a.440.4	yes	640	13.11	odd	12
663.2.cf.a.440.77	yes	640	39.11	even	12
663.2.ck.a.32.4	yes	640	3.2	odd	2	inner
663.2.ck.a.32.77	yes	640	1.1	even	1	trivial
663.2.ck.a.518.4	yes	640	221.76	odd	24	inner
663.2.ck.a.518.77	yes	640	663.518	even	24	inner

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:	\( N \)	\(=\)	\( 663 = 3 \cdot 13 \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	663.ck (of order \(24\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(2.28090 + 1.31688i) q^{2} +(-1.43093 - 0.975929i) q^{3} +(2.46834 + 4.27530i) q^{4} +(-0.168352 - 0.0697335i) q^{5} +(-1.97863 - 4.11036i) q^{6} +(2.41829 - 3.15158i) q^{7} +7.73453i q^{8} +(1.09513 + 2.79297i) q^{9} +O(q^{10})\)	\(q+(2.28090 + 1.31688i) q^{2} +(-1.43093 - 0.975929i) q^{3} +(2.46834 + 4.27530i) q^{4} +(-0.168352 - 0.0697335i) q^{5} +(-1.97863 - 4.11036i) q^{6} +(2.41829 - 3.15158i) q^{7} +7.73453i q^{8} +(1.09513 + 2.79297i) q^{9} +(-0.292163 - 0.380754i) q^{10} +(-1.31444 - 0.173050i) q^{11} +(0.640355 - 8.52658i) q^{12} +(3.15150 + 1.75158i) q^{13} +(9.66614 - 4.00384i) q^{14} +(0.172844 + 0.264083i) q^{15} +(-5.24875 + 9.09111i) q^{16} +(4.09732 + 0.460427i) q^{17} +(-1.18013 + 7.81265i) q^{18} +(3.03047 + 5.24893i) q^{19} +(-0.117418 - 0.891879i) q^{20} +(-6.53612 + 2.14961i) q^{21} +(-2.77023 - 2.12567i) q^{22} +(0.509490 + 0.663981i) q^{23} +(7.54835 - 11.0676i) q^{24} +(-3.51205 - 3.51205i) q^{25} +(4.88165 + 8.14533i) q^{26} +(1.15869 - 5.06532i) q^{27} +(19.4431 + 2.55973i) q^{28} +(-7.59867 - 1.00038i) q^{29} +(0.0464761 + 0.829963i) q^{30} +(-4.47044 - 1.85172i) q^{31} +(-10.5472 + 6.08943i) q^{32} +(1.71199 + 1.53042i) q^{33} +(8.73925 + 6.44586i) q^{34} +(-0.626894 + 0.361937i) q^{35} +(-9.23764 + 11.5760i) q^{36} +(3.04982 + 3.97460i) q^{37} +15.9631i q^{38} +(-2.80017 - 5.58203i) q^{39} +(0.539356 - 1.30212i) q^{40} +(-3.75385 - 0.494204i) q^{41} +(-17.7390 - 3.70423i) q^{42} +(2.34445 - 8.74960i) q^{43} +(-2.50466 - 6.04678i) q^{44} +(0.0103975 - 0.546568i) q^{45} +(0.287715 + 2.18541i) q^{46} +(-2.02188 - 2.02188i) q^{47} +(16.3829 - 7.88634i) q^{48} +(-2.27258 - 8.48139i) q^{49} +(-3.38570 - 12.6356i) q^{50} +(-5.41363 - 4.65753i) q^{51} +(0.290477 + 17.7971i) q^{52} +(-3.65296 + 3.65296i) q^{53} +(9.31328 - 10.0276i) q^{54} +(0.209221 + 0.120794i) q^{55} +(24.3760 + 18.7043i) q^{56} +(0.786186 - 10.4684i) q^{57} +(-16.0144 - 12.2883i) q^{58} +(7.26933 - 4.19695i) q^{59} +(-0.702393 + 1.39081i) q^{60} +(0.760979 + 5.78021i) q^{61} +(-7.75814 - 10.1106i) q^{62} +(11.4506 + 3.30285i) q^{63} -11.0812 q^{64} +(-0.408417 - 0.514646i) q^{65} +(1.88950 + 5.74524i) q^{66} +(-2.55776 - 9.54569i) q^{67} +(8.14513 + 18.6537i) q^{68} +(-0.0810476 - 1.44734i) q^{69} -1.90651 q^{70} +(-9.67717 + 1.27402i) q^{71} +(-21.6023 + 8.47029i) q^{72} +(-2.22928 - 0.923397i) q^{73} +(1.72227 + 13.0819i) q^{74} +(1.59799 + 8.45302i) q^{75} +(-14.9605 + 25.9123i) q^{76} +(-3.72409 + 3.72409i) q^{77} +(0.963951 - 16.4195i) q^{78} +(-1.35753 + 3.27737i) q^{79} +(1.51759 - 1.16449i) q^{80} +(-6.60140 + 6.11732i) q^{81} +(-7.91136 - 6.07060i) q^{82} +2.42471i q^{83} +(-25.3236 - 22.6379i) q^{84} +(-0.657682 - 0.363234i) q^{85} +(16.8696 - 16.8696i) q^{86} +(9.89687 + 8.84724i) q^{87} +(1.33846 - 10.1666i) q^{88} +(-14.9146 + 3.99637i) q^{89} +(0.743480 - 1.23298i) q^{90} +(13.1415 - 5.69638i) q^{91} +(-1.58112 + 3.81715i) q^{92} +(4.58974 + 7.01250i) q^{93} +(-1.94914 - 7.27430i) q^{94} +(-0.144158 - 1.09499i) q^{95} +(21.0352 + 1.57976i) q^{96} +(12.6483 - 1.66519i) q^{97} +(5.98543 - 22.3379i) q^{98} +(-0.956158 - 3.86072i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 640 q - 4 q^{3} + 304 q^{4} - 16 q^{6} - 16 q^{7} - 4 q^{9}+O(q^{10}) \) 640 * q - 4 * q^3 + 304 * q^4 - 16 * q^6 - 16 * q^7 - 4 * q^9	\( 640 q - 4 q^{3} + 304 q^{4} - 16 q^{6} - 16 q^{7} - 4 q^{9} - 56 q^{10} - 16 q^{12} + 4 q^{15} - 288 q^{16} - 8 q^{19} - 32 q^{21} - 8 q^{22} + 24 q^{24} - 32 q^{25} - 64 q^{27} - 24 q^{28} - 32 q^{30} - 32 q^{31} - 48 q^{33} - 4 q^{36} + 80 q^{37} + 36 q^{39} + 32 q^{40} - 4 q^{42} - 8 q^{43} - 104 q^{45} - 96 q^{46} + 76 q^{48} - 8 q^{49} + 64 q^{51} + 32 q^{52} - 72 q^{54} + 68 q^{57} - 144 q^{58} + 168 q^{60} - 8 q^{61} + 16 q^{63} - 480 q^{64} - 120 q^{66} - 64 q^{67} - 24 q^{69} - 128 q^{70} + 208 q^{72} + 32 q^{73} + 32 q^{75} + 104 q^{76} - 180 q^{78} - 64 q^{79} + 48 q^{81} - 56 q^{82} - 32 q^{84} + 56 q^{85} - 76 q^{87} + 56 q^{88} - 16 q^{90} - 108 q^{93} + 40 q^{94} + 128 q^{96} - 192 q^{97} - 20 q^{99}+O(q^{100}) \) 640 * q - 4 * q^3 + 304 * q^4 - 16 * q^6 - 16 * q^7 - 4 * q^9 - 56 * q^10 - 16 * q^12 + 4 * q^15 - 288 * q^16 - 8 * q^19 - 32 * q^21 - 8 * q^22 + 24 * q^24 - 32 * q^25 - 64 * q^27 - 24 * q^28 - 32 * q^30 - 32 * q^31 - 48 * q^33 - 4 * q^36 + 80 * q^37 + 36 * q^39 + 32 * q^40 - 4 * q^42 - 8 * q^43 - 104 * q^45 - 96 * q^46 + 76 * q^48 - 8 * q^49 + 64 * q^51 + 32 * q^52 - 72 * q^54 + 68 * q^57 - 144 * q^58 + 168 * q^60 - 8 * q^61 + 16 * q^63 - 480 * q^64 - 120 * q^66 - 64 * q^67 - 24 * q^69 - 128 * q^70 + 208 * q^72 + 32 * q^73 + 32 * q^75 + 104 * q^76 - 180 * q^78 - 64 * q^79 + 48 * q^81 - 56 * q^82 - 32 * q^84 + 56 * q^85 - 76 * q^87 + 56 * q^88 - 16 * q^90 - 108 * q^93 + 40 * q^94 + 128 * q^96 - 192 * q^97 - 20 * q^99

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