LMFDB - Embedded newform 189.2.bd.a.59.6

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [189,2,Mod(47,189)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("189.47"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(189, base_ring=CyclotomicField(18)) chi = DirichletCharacter(H, H._module([7, 15])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 189 = 3^{3} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	189.bd (of order $18$, degree $6$, minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

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

Self dual:	no
Analytic conductor:	$1.50917259820$
Analytic rank:	$0$
Dimension:	$132$
Relative dimension:	$22$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			59.6
Character	$\chi$	$=$	189.59
Dual form			189.2.bd.a.173.6

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.600445 + 1.64971i) q^{2} +(1.26150 + 1.18685i) q^{3} +(-0.828916 - 0.695543i) q^{4} +(0.270023 + 0.226576i) q^{5} +(-2.71542 + 1.36847i) q^{6} +(2.53352 - 0.762430i) q^{7} +(-1.39560 + 0.805749i) q^{8} +(0.182767 + 2.99443i) q^{9} +(-0.535918 + 0.309412i) q^{10} +(-0.647450 - 0.771601i) q^{11} +(-0.220171 - 1.86123i) q^{12} +(0.216492 - 0.258005i) q^{13} +(-0.263449 + 4.63736i) q^{14} +(0.0717217 + 0.606302i) q^{15} +(-0.867071 - 4.91741i) q^{16} +(-2.61130 - 4.52291i) q^{17} +(-5.04967 - 1.49648i) q^{18} +(-0.480077 - 0.277173i) q^{19} +(-0.0662328 - 0.375625i) q^{20} +(4.10092 + 2.04510i) q^{21} +(1.66167 - 0.604800i) q^{22} +(0.811938 + 2.23078i) q^{23} +(-2.71685 - 0.639915i) q^{24} +(-0.846665 - 4.80168i) q^{25} +(0.295641 + 0.512066i) q^{26} +(-3.32338 + 3.99439i) q^{27} +(-2.63037 - 1.13018i) q^{28} +(0.750003 + 0.893819i) q^{29} +(-1.04329 - 0.245731i) q^{30} +(1.12246 - 1.33769i) q^{31} +(5.45888 + 0.962549i) q^{32} +(0.0990172 - 1.74180i) q^{33} +(9.02943 - 1.59213i) q^{34} +(0.856855 + 0.368160i) q^{35} +(1.93126 - 2.60925i) q^{36} -6.14160 q^{37} +(0.745514 - 0.625561i) q^{38} +(0.579318 - 0.0685296i) q^{39} +(-0.559406 - 0.0986384i) q^{40} +(8.82053 + 7.40131i) q^{41} +(-5.83620 + 5.53736i) q^{42} +(5.78827 + 2.10676i) q^{43} +1.08992i q^{44} +(-0.629114 + 0.849974i) q^{45} -4.16766 q^{46} +(4.23097 - 3.55021i) q^{47} +(4.74242 - 7.23239i) q^{48} +(5.83740 - 3.86326i) q^{49} +(8.42975 + 1.48639i) q^{50} +(2.07386 - 8.80488i) q^{51} +(-0.358907 + 0.0632850i) q^{52} +(-3.63746 - 2.10009i) q^{53} +(-4.59407 - 7.88102i) q^{54} -0.355046i q^{55} +(-2.92144 + 3.10542i) q^{56} +(-0.276655 - 0.919434i) q^{57} +(-1.92488 + 0.700598i) q^{58} +(2.30113 - 13.0504i) q^{59} +(0.362258 - 0.552459i) q^{60} +(9.07139 + 10.8109i) q^{61} +(1.53283 + 2.65494i) q^{62} +(2.74608 + 7.44708i) q^{63} +(0.127580 - 0.220974i) q^{64} +(0.116915 - 0.0206153i) q^{65} +(2.81401 + 1.20921i) q^{66} +(-7.87228 + 2.86527i) q^{67} +(-0.981328 + 5.56539i) q^{68} +(-1.62335 + 3.77778i) q^{69} +(-1.12185 + 1.19250i) q^{70} +(-9.96202 - 5.75157i) q^{71} +(-2.66782 - 4.03175i) q^{72} +7.95615i q^{73} +(3.68770 - 10.1319i) q^{74} +(4.63081 - 7.06218i) q^{75} +(0.205158 + 0.563667i) q^{76} +(-2.22862 - 1.46123i) q^{77} +(-0.234794 + 0.996854i) q^{78} +(-11.1407 - 4.05487i) q^{79} +(0.880037 - 1.52427i) q^{80} +(-8.93319 + 1.09456i) q^{81} +(-17.5062 + 10.1072i) q^{82} +(-2.81649 + 2.36332i) q^{83} +(-1.97686 - 4.54759i) q^{84} +(0.319671 - 1.81295i) q^{85} +(-6.95108 + 8.28397i) q^{86} +(-0.114701 + 2.01770i) q^{87} +(1.52530 + 0.555162i) q^{88} +(1.99527 - 3.45591i) q^{89} +(-1.02446 - 1.54822i) q^{90} +(0.351774 - 0.818719i) q^{91} +(0.878576 - 2.41387i) q^{92} +(3.00362 - 0.355309i) q^{93} +(3.31634 + 9.11158i) q^{94} +(-0.0668311 - 0.183617i) q^{95} +(5.74398 + 7.69314i) q^{96} +(-5.45431 + 14.9856i) q^{97} +(2.86821 + 11.9497i) q^{98} +(2.19217 - 2.07976i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 132 q - 3 q^{2} - 9 q^{3} - 3 q^{4} - 9 q^{5} + 18 q^{6} - 6 q^{7} - 18 q^{8} - 15 q^{9} - 9 q^{10} + 9 q^{11} - 9 q^{12} - 42 q^{14} - 24 q^{15} - 15 q^{16} - 9 q^{17} - 3 q^{18} - 9 q^{19} - 18 q^{20}+ \cdots + 96 q^{99}+O(q^{100}) $ 132 * q - 3 * q^2 - 9 * q^3 - 3 * q^4 - 9 * q^5 + 18 * q^6 - 6 * q^7 - 18 * q^8 - 15 * q^9 - 9 * q^10 + 9 * q^11 - 9 * q^12 - 42 * q^14 - 24 * q^15 - 15 * q^16 - 9 * q^17 - 3 * q^18 - 9 * q^19 - 18 * q^20 + 15 * q^21 - 12 * q^22 + 30 * q^23 - 36 * q^24 - 3 * q^25 - 12 * q^28 + 6 * q^29 - 3 * q^30 - 9 * q^31 - 51 * q^32 - 9 * q^33 + 18 * q^34 - 9 * q^35 - 6 * q^37 - 9 * q^38 - 9 * q^39 - 9 * q^40 + 27 * q^42 - 12 * q^43 - 63 * q^45 - 6 * q^46 + 45 * q^47 + 30 * q^49 - 9 * q^50 + 33 * q^51 - 9 * q^52 + 45 * q^53 + 117 * q^54 - 51 * q^56 - 3 * q^58 - 9 * q^59 - 15 * q^60 - 63 * q^61 + 99 * q^62 - 33 * q^63 + 18 * q^64 - 102 * q^65 + 63 * q^66 - 3 * q^67 + 144 * q^68 - 108 * q^69 - 15 * q^70 + 18 * q^71 + 15 * q^72 - 33 * q^74 - 9 * q^75 - 36 * q^76 - 57 * q^77 + 66 * q^78 - 21 * q^79 - 72 * q^80 + 57 * q^81 - 18 * q^82 + 90 * q^83 + 51 * q^84 + 9 * q^85 - 33 * q^86 - 9 * q^87 + 45 * q^88 - 9 * q^89 - 81 * q^90 - 21 * q^91 + 150 * q^92 - 87 * q^93 - 9 * q^94 + 27 * q^95 - 9 * q^96 - 180 * q^98 + 96 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/189\mathbb{Z}\right)^\times$.

$n$	$29$	$136$
$\chi(n)$	$e\left(\frac{5}{18}\right)$	$e\left(\frac{1}{6}\right)$

Coefficient data

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

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

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

$2$	−0.600445	+	1.64971i	−0.424579	+	1.16652i	0.524481	+	0.851422i	$0.324260\pi$
$2$	−0.600445	+	1.64971i	−0.424579	+	1.16652i	−0.949059	+	0.315098i	$0.897963\pi$
$3$	1.26150	+	1.18685i	0.728328	+	0.685229i
$3$	1.26150	+	1.18685i	0.728328	+	0.685229i
$4$	−0.828916	−	0.695543i	−0.414458	−	0.347772i
$5$	0.270023	+	0.226576i	0.120758	+	0.101328i	0.701167	−	0.712997i	$-0.252663\pi$
$5$	0.270023	+	0.226576i	0.120758	+	0.101328i	−0.580409	+	0.814325i	$0.697107\pi$
$6$	−2.71542	+	1.36847i	−1.10857	+	0.558675i
$7$	2.53352	−	0.762430i	0.957579	−	0.288171i
$7$	2.53352	−	0.762430i	0.957579	−	0.288171i
$8$	−1.39560	+	0.805749i	−0.493418	+	0.284875i
$9$	0.182767	+	2.99443i	0.0609222	+	0.998143i
$10$	−0.535918	+	0.309412i	−0.169472	+	0.0978448i
$11$	−0.647450	−	0.771601i	−0.195213	−	0.232646i	0.659554	−	0.751657i	$-0.270745\pi$
$11$	−0.647450	−	0.771601i	−0.195213	−	0.232646i	−0.854768	+	0.519010i	$0.826301\pi$
$12$	−0.220171	−	1.86123i	−0.0635580	−	0.537290i
$13$	0.216492	−	0.258005i	0.0600440	−	0.0715576i	−0.735186	−	0.677865i	$-0.762905\pi$
$13$	0.216492	−	0.258005i	0.0600440	−	0.0715576i	0.795230	+	0.606307i	$0.207350\pi$
$14$	−0.263449	+	4.63736i	−0.0704098	+	1.23939i
$15$	0.0717217	+	0.606302i	0.0185185	+	0.156547i
$16$	−0.867071	−	4.91741i	−0.216768	−	1.22935i
$17$	−2.61130	−	4.52291i	−0.633334	−	1.09697i	−0.986865	−	0.161544i	$-0.948353\pi$
$17$	−2.61130	−	4.52291i	−0.633334	−	1.09697i	0.353531	−	0.935423i	$-0.384981\pi$
$18$	−5.04967	−	1.49648i	−1.19022	−	0.352723i
$19$	−0.480077	−	0.277173i	−0.110137	−	0.0635878i	0.443920	−	0.896067i	$-0.353588\pi$
$19$	−0.480077	−	0.277173i	−0.110137	−	0.0635878i	−0.554057	+	0.832479i	$0.686921\pi$
$20$	−0.0662328	−	0.375625i	−0.0148101	−	0.0839923i
$21$	4.10092	+	2.04510i	0.894895	+	0.446278i
$22$	1.66167	−	0.604800i	0.354270	−	0.128944i
$23$	0.811938	+	2.23078i	0.169301	+	0.465150i	0.995107	−	0.0988041i	$-0.0315017\pi$
$23$	0.811938	+	2.23078i	0.169301	+	0.465150i	−0.825806	+	0.563954i	$0.809280\pi$
$24$	−2.71685	−	0.639915i	−0.554575	−	0.130622i
$25$	−0.846665	−	4.80168i	−0.169333	−	0.960335i
$26$	0.295641	+	0.512066i	0.0579800	+	0.100424i
$27$	−3.32338	+	3.99439i	−0.639585	+	0.768720i
$28$	−2.63037	−	1.13018i	−0.497094	−	0.213584i
$29$	0.750003	+	0.893819i	0.139272	+	0.165978i	0.831172	−	0.556015i	$-0.187670\pi$
$29$	0.750003	+	0.893819i	0.139272	+	0.165978i	−0.691900	+	0.721994i	$0.743226\pi$
$30$	−1.04329	−	0.245731i	−0.190477	−	0.0448642i
$31$	1.12246	−	1.33769i	0.201599	−	0.240257i	−0.655767	−	0.754963i	$-0.727655\pi$
$31$	1.12246	−	1.33769i	0.201599	−	0.240257i	0.857366	+	0.514707i	$0.172099\pi$
$32$	5.45888	+	0.962549i	0.965004	+	0.170156i
$33$	0.0990172	−	1.74180i	0.0172367	−	0.303209i
$34$	9.02943	−	1.59213i	1.54853	−	0.273048i
$35$	0.856855	+	0.368160i	0.144835	+	0.0622304i
$36$	1.93126	−	2.60925i	0.321876	−	0.434875i
$37$	−6.14160			−1.00967			−0.504837	−	0.863215i	$-0.668447\pi$
$37$	−6.14160			−1.00967			−0.504837	+	0.863215i	$0.668447\pi$
$38$	0.745514	−	0.625561i	0.120938	−	0.101479i
$39$	0.579318	−	0.0685296i	0.0927651	−	0.0109735i
$40$	−0.559406	−	0.0986384i	−0.0884499	−	0.0155961i
$41$	8.82053	+	7.40131i	1.37754	+	1.15589i	0.970114	+	0.242650i	$0.0780166\pi$
$41$	8.82053	+	7.40131i	1.37754	+	1.15589i	0.407422	+	0.913240i	$0.366428\pi$
$42$	−5.83620	+	5.53736i	−0.900545	+	0.854433i
$43$	5.78827	+	2.10676i	0.882703	+	0.321278i	0.743300	−	0.668958i	$-0.233259\pi$
$43$	5.78827	+	2.10676i	0.882703	+	0.321278i	0.139403	+	0.990236i	$0.455482\pi$
$44$			1.08992i			0.164312i
$45$	−0.629114	+	0.849974i	−0.0937828	+	0.126707i
$46$	−4.16766			−0.614488
$47$	4.23097	−	3.55021i	0.617151	−	0.517851i	−0.279756	−	0.960071i	$-0.590253\pi$
$47$	4.23097	−	3.55021i	0.617151	−	0.517851i	0.896906	+	0.442220i	$0.145809\pi$
$48$	4.74242	−	7.23239i	0.684509	−	1.04391i
$49$	5.83740	−	3.86326i	0.833914	−	0.551894i
$50$	8.42975	+	1.48639i	1.19215	+	0.210208i
$51$	2.07386	−	8.80488i	0.290399	−	1.23293i
$52$	−0.358907	+	0.0632850i	−0.0497714	+	0.00877604i
$53$	−3.63746	−	2.10009i	−0.499644	−	0.288469i	0.228923	−	0.973445i	$-0.426480\pi$
$53$	−3.63746	−	2.10009i	−0.499644	−	0.288469i	−0.728566	+	0.684975i	$0.759813\pi$
$54$	−4.59407	−	7.88102i	−0.625174	−	1.07247i
$55$		−	0.355046i		−	0.0478744i
$56$	−2.92144	+	3.10542i	−0.390394	+	0.414979i
$57$	−0.276655	−	0.919434i	−0.0366438	−	0.121782i
$58$	−1.92488	+	0.700598i	−0.252749	+	0.0919930i
$59$	2.30113	−	13.0504i	0.299582	−	1.69901i	−0.348390	−	0.937350i	$-0.613272\pi$
$59$	2.30113	−	13.0504i	0.299582	−	1.69901i	0.647972	−	0.761664i	$-0.275617\pi$
$60$	0.362258	−	0.552459i	0.0467673	−	0.0713222i
$61$	9.07139	+	10.8109i	1.16147	+	1.38419i	0.909110	+	0.416556i	$0.136763\pi$
$61$	9.07139	+	10.8109i	1.16147	+	1.38419i	0.252363	+	0.967633i	$0.418792\pi$
$62$	1.53283	+	2.65494i	0.194669	+	0.337177i
$63$	2.74608	+	7.44708i	0.345974	+	0.938244i
$64$	0.127580	−	0.220974i	0.0159475	−	0.0276218i
$65$	0.116915	−	0.0206153i	0.0145016	−	0.00255702i
$66$	2.81401	+	1.20921i	0.346381	+	0.148843i
$67$	−7.87228	+	2.86527i	−0.961751	+	0.350049i	−0.774720	−	0.632305i	$-0.782109\pi$
$67$	−7.87228	+	2.86527i	−0.961751	+	0.350049i	−0.187032	+	0.982354i	$0.559887\pi$
$68$	−0.981328	+	5.56539i	−0.119003	+	0.674902i
$69$	−1.62335	+	3.77778i	−0.195428	+	0.454791i
$70$	−1.12185	+	1.19250i	−0.134087	+	0.142531i
$71$	−9.96202	−	5.75157i	−1.18227	−	0.682586i	−0.225734	−	0.974189i	$-0.572478\pi$
$71$	−9.96202	−	5.75157i	−1.18227	−	0.682586i	−0.956540	+	0.291603i	$0.905811\pi$
$72$	−2.66782	−	4.03175i	−0.314406	−	0.475147i
$73$			7.95615i			0.931197i	0.884996	+	0.465598i	$0.154161\pi$
$73$			7.95615i			0.931197i	−0.884996	+	0.465598i	$0.845839\pi$
$74$	3.68770	−	10.1319i	0.428686	−	1.17780i
$75$	4.63081	−	7.06218i	0.534720	−	0.815471i
$76$	0.205158	+	0.563667i	0.0235332	+	0.0646571i
$77$	−2.22862	−	1.46123i	−0.253974	−	0.166522i
$78$	−0.234794	+	0.996854i	−0.0265852	+	0.112871i
$79$	−11.1407	−	4.05487i	−1.25342	−	0.456209i	−0.371866	−	0.928286i	$-0.621282\pi$
$79$	−11.1407	−	4.05487i	−1.25342	−	0.456209i	−0.881557	+	0.472077i	$0.843504\pi$
$80$	0.880037	−	1.52427i	0.0983911	−	0.170418i
$81$	−8.93319	+	1.09456i	−0.992577	+	0.121618i
$82$	−17.5062	+	10.1072i	−1.93324	+	1.11616i
$83$	−2.81649	+	2.36332i	−0.309150	+	0.259408i	−0.784141	−	0.620583i	$-0.786896\pi$
$83$	−2.81649	+	2.36332i	−0.309150	+	0.259408i	0.474991	+	0.879991i	$0.342451\pi$
$84$	−1.97686	−	4.54759i	−0.215694	−	0.496182i
$85$	0.319671	−	1.81295i	0.0346732	−	0.196642i
$86$	−6.95108	+	8.28397i	−0.749554	+	0.893283i
$87$	−0.114701	+	2.01770i	−0.0122973	+	0.216320i
$88$	1.52530	+	0.555162i	0.162597	+	0.0591805i
$89$	1.99527	−	3.45591i	0.211498	−	0.366326i	−0.740685	−	0.671852i	$-0.765499\pi$
$89$	1.99527	−	3.45591i	0.211498	−	0.366326i	0.952184	+	0.305526i	$0.0988324\pi$
$90$	−1.02446	−	1.54822i	−0.107988	−	0.163196i
$91$	0.351774	−	0.818719i	0.0368760	−	0.0858250i
$92$	0.878576	−	2.41387i	0.0915979	−	0.251663i
$93$	3.00362	−	0.355309i	0.311461	−	0.0368438i
$94$	3.31634	+	9.11158i	0.342055	+	0.939787i
$95$	−0.0668311	−	0.183617i	−0.00685672	−	0.0188387i
$96$	5.74398	+	7.69314i	0.586243	+	0.785178i
$97$	−5.45431	+	14.9856i	−0.553801	+	1.52156i	0.274679	+	0.961536i	$0.411429\pi$
$97$	−5.45431	+	14.9856i	−0.553801	+	1.52156i	−0.828480	+	0.560019i	$0.810794\pi$
$98$	2.86821	+	11.9497i	0.289733	+	1.20710i
$99$	2.19217	−	2.07976i	0.220321	−	0.209024i
$100$	−2.63796	+	4.56908i	−0.263796	+	0.456908i
$101$	−7.07728	−	2.57592i	−0.704216	−	0.256314i	−0.0350059	−	0.999387i	$-0.511145\pi$
$101$	−7.07728	−	2.57592i	−0.704216	−	0.256314i	−0.669210	+	0.743074i	$0.733367\pi$
$102$	13.2803	+	8.70812i	1.31494	+	0.862232i
$103$	0.442245	−	0.527048i	0.0435757	−	0.0519315i	−0.743816	−	0.668384i	$-0.766986\pi$
$103$	0.442245	−	0.527048i	0.0435757	−	0.0519315i	0.787392	+	0.616452i	$0.211431\pi$
$104$	−0.0942483	+	0.534509i	−0.00924181	+	0.0524129i
$105$	0.643971	+	1.48139i	0.0628452	+	0.144569i
$106$	5.64863	−	4.73976i	0.548643	−	0.460366i
$107$	−11.1522	+	6.43871i	−1.07812	+	0.622454i	−0.930389	−	0.366574i	$-0.880531\pi$
$107$	−11.1522	+	6.43871i	−1.07812	+	0.622454i	−0.147733	+	0.989027i	$0.547197\pi$
$108$	5.53307	−	0.999458i	0.532420	−	0.0961729i
$109$	1.25012	−	2.16528i	0.119740	−	0.207396i	−0.799924	−	0.600101i	$-0.795127\pi$
$109$	1.25012	−	2.16528i	0.119740	−	0.207396i	0.919665	+	0.392705i	$0.128460\pi$
$110$	0.585723	+	0.213186i	0.0558465	+	0.0203265i
$111$	−7.74764	−	7.28917i	−0.735373	−	0.691858i
$112$	−5.94591	−	11.7972i	−0.561836	−	1.11473i
$113$	−1.54656	−	4.24914i	−0.145488	−	0.399726i	0.845448	−	0.534058i	$-0.179333\pi$
$113$	−1.54656	−	4.24914i	−0.145488	−	0.399726i	−0.990936	+	0.134332i	$0.957111\pi$
$114$	1.68291	+	0.0956696i	0.157619	+	0.00896028i
$115$	−0.286200	+	0.786327i	−0.0266882	+	0.0733254i
$116$		−	1.26256i		−	0.117226i
$117$	0.812144	+	0.601114i	0.0750827	+	0.0555730i
$118$	20.1476	+	11.6322i	1.85474	+	1.07083i
$119$	−10.0642	−	9.46793i	−0.922582	−	0.867923i
$120$	−0.588622	−	0.788365i	−0.0537336	−	0.0719675i
$121$	1.73395	−	9.83374i	0.157632	−	0.893976i
$122$	−23.2816	+	8.47383i	−2.10782	+	0.767184i
$123$	2.34285	+	19.8054i	0.211248	+	1.78579i
$124$	−1.86084	+	0.328117i	−0.167109	+	0.0294658i
$125$	1.74055	−	3.01472i	0.155679	−	0.269645i
$126$	−13.9344	+	0.0586750i	−1.24137	+	0.00522719i
$127$	−9.46933	−	16.4014i	−0.840267	−	1.45539i	−0.889669	−	0.456607i	$-0.849065\pi$
$127$	−9.46933	−	16.4014i	−0.840267	−	1.45539i	0.0494015	−	0.998779i	$-0.484269\pi$
$128$	7.41401	+	8.83567i	0.655312	+	0.780970i
$129$	4.80150	+	9.52750i	0.422748	+	0.838849i
$130$	−0.0361919	+	0.205255i	−0.00317424	+	0.0180020i
$131$	8.41929	−	3.06437i	0.735596	−	0.267735i	0.0530646	−	0.998591i	$-0.483101\pi$
$131$	8.41929	−	3.06437i	0.735596	−	0.267735i	0.682532	+	0.730856i	$0.260879\pi$
$132$	−1.29358	+	1.37494i	−0.112591	+	0.119673i
$133$	−1.42761	−	0.336196i	−0.123789	−	0.0291519i
$134$		−	14.7074i		−	1.27053i
$135$	−1.80242	+	0.325577i	−0.155128	+	0.0280212i
$136$	7.28866	+	4.20811i	0.624997	+	0.360842i
$137$	18.7966	−	3.31435i	1.60590	−	0.283164i	0.702413	−	0.711770i	$-0.252106\pi$
$137$	18.7966	−	3.31435i	1.60590	−	0.283164i	0.903492	+	0.428606i	$0.140995\pi$
$138$	−5.25751	−	4.94640i	−0.447549	−	0.421065i
$139$	−5.33535	−	0.940766i	−0.452538	−	0.0797947i	−0.0572665	−	0.998359i	$-0.518238\pi$
$139$	−5.33535	−	0.940766i	−0.452538	−	0.0797947i	−0.395272	+	0.918564i	$0.629350\pi$
$140$	−0.454189	−	0.901154i	−0.0383860	−	0.0761614i
$141$	9.55094	+	0.542948i	0.804334	+	0.0457245i
$142$	15.4701	−	12.9809i	1.29822	−	1.08933i
$143$	−0.339244			−0.0283690
$144$	14.5663	−	3.49512i	1.21386	−	0.291260i
$145$			0.411284i			0.0341553i
$146$	−13.1253	−	4.77723i	−1.08626	−	0.395366i
$147$	11.9490	+	2.05463i	0.985537	+	0.169463i
$148$	5.09087	+	4.27175i	0.418467	+	0.351136i
$149$	−7.98411	−	1.40781i	−0.654084	−	0.115333i	−0.163249	−	0.986585i	$-0.552197\pi$
$149$	−7.98411	−	1.40781i	−0.654084	−	0.115333i	−0.490835	+	0.871252i	$0.663308\pi$
$150$	8.87000	+	11.8799i	0.724233	+	0.969993i
$151$	−8.69497	+	7.29595i	−0.707587	+	0.593736i	−0.923921	−	0.382584i	$-0.875034\pi$
$151$	−8.69497	+	7.29595i	−0.707587	+	0.593736i	0.216334	+	0.976319i	$0.430590\pi$
$152$	0.893326			0.0724583
$153$	13.0663	−	8.64599i	1.05635	−	0.698987i
$154$	3.74876	−	2.79918i	0.302084	−	0.225564i
$155$	0.606177	−	0.106885i	0.0486893	−	0.00858525i
$156$	−0.527871	−	0.346135i	−0.0422635	−	0.0277130i
$157$	−10.0784	−	1.77709i	−0.804341	−	0.141827i	−0.243662	−	0.969860i	$-0.578349\pi$
$157$	−10.0784	−	1.77709i	−0.804341	−	0.141827i	−0.560679	+	0.828033i	$0.689460\pi$
$158$	13.3787	−	15.9441i	1.06435	−	1.26845i
$159$	−2.09616	−	6.96639i	−0.166237	−	0.552470i
$160$	1.25593	+	1.49676i	0.0992902	+	0.118329i
$161$	3.75787	+	5.03267i	0.296162	+	0.396630i
$162$	3.55818	−	15.3944i	0.279557	−	1.20950i
$163$	7.70976	+	13.3537i	0.603875	+	1.04594i	0.992228	+	0.124431i	$0.0397106\pi$
$163$	7.70976	+	13.3537i	0.603875	+	1.04594i	−0.388353	+	0.921510i	$0.626956\pi$
$164$	−2.16355	−	12.2701i	−0.168945	−	0.958136i
$165$	0.421387	−	0.447891i	0.0328049	−	0.0348683i
$166$	−2.20764	−	6.06543i	−0.171346	−	0.470769i
$167$	−2.06205	+	0.750523i	−0.159566	+	0.0580773i	−0.420568	−	0.907261i	$-0.638169\pi$
$167$	−2.06205	+	0.750523i	−0.159566	+	0.0580773i	0.261002	+	0.965338i	$0.415947\pi$
$168$	−7.37107	+	0.450174i	−0.568691	+	0.0347317i
$169$	2.23773	+	12.6908i	0.172133	+	0.976215i
$170$	2.79889	+	1.61594i	0.214665	+	0.123937i
$171$	0.742231	−	1.48821i	0.0567599	−	0.113807i
$172$	−3.33265	−	5.77232i	−0.254112	−	0.440135i
$173$	2.16762	+	12.2932i	0.164801	+	0.934634i	0.949269	+	0.314465i	$0.101825\pi$
$173$	2.16762	+	12.2932i	0.164801	+	0.934634i	−0.784468	+	0.620169i	$0.787064\pi$
$174$	−3.25974	−	1.40074i	−0.247120	−	0.106190i
$175$	−5.80598	−	11.5196i	−0.438891	−	0.870800i
$176$	−3.23289	+	3.85281i	−0.243688	+	0.290416i
$177$	18.3917	−	13.7319i	1.38241	−	1.03216i
$178$	4.50320	+	5.36670i	0.337529	+	0.402251i
$179$	−11.5403	+	6.66279i	−0.862562	+	0.498000i	−0.864869	−	0.501997i	$-0.832599\pi$
$179$	−11.5403	+	6.66279i	−0.862562	+	0.498000i	0.00230765	+	0.999997i	$0.499265\pi$
$180$	1.11268	−	0.266981i	0.0829340	−	0.0198996i
$181$	17.6147	−	10.1698i	1.30929	−	0.755918i	0.327312	−	0.944916i	$-0.393857\pi$
$181$	17.6147	−	10.1698i	1.30929	−	0.755918i	0.981977	+	0.188998i	$0.0605240\pi$
$182$	1.13943	+	1.07192i	0.0844599	+	0.0794561i
$183$	−1.38733	+	24.4043i	−0.102554	+	1.80402i
$184$	−2.93059	−	2.45905i	−0.216046	−	0.181284i
$185$	−1.65837	−	1.39154i	−0.121926	−	0.102308i
$186$	−1.21735	+	5.16844i	−0.0892606	+	0.378969i
$187$	−1.79919	+	4.94324i	−0.131570	+	0.361486i
$188$	−5.97644			−0.435877
$189$	−5.37440	+	12.6537i	−0.390930	+	0.920421i
$190$	0.343043			0.0248869
$191$	7.78006	−	21.3755i	0.562945	−	1.54668i	−0.252351	−	0.967636i	$-0.581204\pi$
$191$	7.78006	−	21.3755i	0.562945	−	1.54668i	0.815296	−	0.579044i	$-0.196574\pi$
$192$	0.423206	−	0.127341i	0.0305422	−	0.00919006i
$193$	10.9611	+	9.19748i	0.789000	+	0.662049i	0.945498	−	0.325629i	$-0.105576\pi$
$193$	10.9611	+	9.19748i	0.789000	+	0.662049i	−0.156498	+	0.987678i	$0.550020\pi$
$194$	−21.4468	−	17.9960i	−1.53979	−	1.29204i
$195$	0.171956	+	0.112755i	0.0123140	+	0.00807455i
$196$	−7.52578	−	0.857850i	−0.537555	−	0.0612750i
$197$	−18.0576	+	10.4256i	−1.28655	+	0.742791i	−0.978038	−	0.208428i	$-0.933165\pi$
$197$	−18.0576	+	10.4256i	−1.28655	+	0.742791i	−0.308515	+	0.951220i	$0.599832\pi$
$198$	2.11473	+	4.86523i	0.150287	+	0.345757i
$199$	−8.92119	+	5.15065i	−0.632406	+	0.365120i	−0.781683	−	0.623676i	$-0.785639\pi$
$199$	−8.92119	+	5.15065i	−0.632406	+	0.365120i	0.149277	+	0.988795i	$0.452305\pi$
$200$	5.05055	+	6.01901i	0.357128	+	0.425608i
$201$	−13.3315	−	5.72868i	−0.940334	−	0.404070i
$202$	8.49903	−	10.1288i	0.597990	−	0.712656i
$203$	2.58162	+	1.69268i	0.181194	+	0.118803i
$204$	−7.84323	+	5.85605i	−0.549136	+	0.410005i
$205$	0.704786	+	3.99704i	0.0492244	+	0.279165i
$206$	0.603931	+	1.04604i	0.0420779	+	0.0728810i
$207$	−6.53152	+	2.83900i	−0.453972	+	0.197324i
$208$	−1.45643	−	0.840869i	−0.100985	−	0.0583038i
$209$	0.0969593	+	0.549883i	0.00670681	+	0.0380362i
$210$	−2.83054	+	0.172870i	−0.195326	+	0.0119291i
$211$	−21.6090	+	7.86503i	−1.48762	+	0.541451i	−0.952823	−	0.303527i	$-0.901836\pi$
$211$	−21.6090	+	7.86503i	−1.48762	+	0.541451i	−0.534801	+	0.844978i	$0.679613\pi$
$212$	1.55445	+	4.27081i	0.106760	+	0.293320i
$213$	−5.74082	−	19.0790i	−0.393355	−	1.30727i
$214$	−3.92573	−	22.2639i	−0.268358	−	1.52193i
$215$	1.08562	+	1.88036i	0.0740389	+	0.128239i
$216$	1.41963	−	8.25237i	0.0965935	−	0.561503i
$217$	1.82387	−	4.24486i	0.123812	−	0.288160i
$218$	2.82145	+	3.36247i	0.191093	+	0.227735i
$219$	−9.44277	+	10.0367i	−0.638083	+	0.678216i
$220$	−0.246950	+	0.294304i	−0.0166494	+	0.0198419i
$221$	−1.73226	−	0.305444i	−0.116524	−	0.0205464i
$222$	16.6770	−	8.40460i	1.11929	−	0.564080i
$223$	−16.7430	+	2.95225i	−1.12120	+	0.197697i	−0.703366	−	0.710827i	$-0.748321\pi$
$223$	−16.7430	+	2.95225i	−1.12120	+	0.197697i	−0.417831	+	0.908525i	$0.637210\pi$
$224$	14.5640	−	1.72338i	0.973101	−	0.115148i
$225$	14.2235	−	3.41286i	0.948236	−	0.227524i
$226$	7.93847			0.528059
$227$	10.5284	−	8.83437i	0.698794	−	0.586358i	−0.222636	−	0.974902i	$-0.571466\pi$
$227$	10.5284	−	8.83437i	0.698794	−	0.586358i	0.921430	+	0.388544i	$0.127022\pi$
$228$	−0.410182	+	0.954559i	−0.0271650	+	0.0632172i
$229$	13.1410	+	2.31712i	0.868384	+	0.153120i	0.590052	−	0.807365i	$-0.299107\pi$
$229$	13.1410	+	2.31712i	0.868384	+	0.153120i	0.278332	+	0.960485i	$0.410218\pi$
$230$	−1.12536	−	0.944292i	−0.0742043	−	0.0622648i
$231$	−1.07714	−	4.48837i	−0.0708706	−	0.295313i
$232$	−1.76690	−	0.643098i	−0.116002	−	0.0422214i
$233$			11.4460i			0.749853i	0.927055	+	0.374926i	$0.122332\pi$
$233$			11.4460i			0.749853i	−0.927055	+	0.374926i	$0.877668\pi$
$234$	−1.47931	+	0.978865i	−0.0967056	+	0.0639904i
$235$	1.94685			0.126998
$236$	−10.9845	+	9.21713i	−0.715033	+	0.599984i
$237$	−9.24143	−	18.3375i	−0.600295	−	1.19115i
$238$	21.6623	−	10.9180i	1.40416	−	0.707709i
$239$	23.1955	+	4.08999i	1.50039	+	0.264559i	0.862693	−	0.505728i	$-0.168776\pi$
$239$	23.1955	+	4.08999i	1.50039	+	0.264559i	0.637698	+	0.770287i	$0.279887\pi$
$240$	2.91925	−	0.878392i	0.188437	−	0.0567000i
$241$	−2.25704	+	0.397977i	−0.145389	+	0.0256359i	−0.245869	−	0.969303i	$-0.579073\pi$
$241$	−2.25704	+	0.397977i	−0.145389	+	0.0256359i	0.100480	+	0.994939i	$0.467962\pi$
$242$	15.1817	+	8.76514i	0.975914	+	0.563444i
$243$	−12.5683	−	9.22158i	−0.806257	−	0.591565i
$244$		−	15.2708i		−	0.977615i
$245$	2.45155	+	0.279448i	0.156624	+	0.0178533i
$246$	−34.0799	−	8.02703i	−2.17286	−	0.511785i
$247$	−0.175445	+	0.0638566i	−0.0111633	+	0.00406310i
$248$	−0.488654	+	2.77130i	−0.0310296	+	0.175978i
$249$	−6.35791	−	0.361432i	−0.402916	−	0.0229048i
$250$	3.92831	+	4.68157i	0.248448	+	0.296089i
$251$	1.67631	+	2.90345i	0.105807	+	0.183264i	0.914068	−	0.405561i	$-0.132924\pi$
$251$	1.67631	+	2.90345i	0.105807	+	0.183264i	−0.808260	+	0.588825i	$0.799591\pi$
$252$	2.90349	−	8.08302i	0.182903	−	0.509183i
$253$	1.19558	−	2.07081i	0.0751656	−	0.130191i
$254$	32.7433	−	5.77352i	2.05450	−	0.362263i
$255$	2.55496	−	1.90763i	0.159998	−	0.119460i
$256$	−18.5484	+	6.75108i	−1.15928	+	0.421943i
$257$	−1.70247	+	9.65520i	−0.106197	+	0.602275i	0.884538	+	0.466468i	$0.154474\pi$
$257$	−1.70247	+	9.65520i	−0.106197	+	0.602275i	−0.990735	+	0.135807i	$0.956637\pi$
$258$	−18.6006	+	2.20034i	−1.15802	+	0.136987i
$259$	−15.5599	+	4.68254i	−0.966842	+	0.290959i
$260$	−0.111252	−	0.0642313i	−0.00689955	−	0.00398345i
$261$	−2.53940	+	2.40919i	−0.157185	+	0.149125i
$262$			15.7294i			0.971763i
$263$	−0.114854	+	0.315559i	−0.00708222	+	0.0194582i	−0.943183	−	0.332273i	$-0.892185\pi$
$263$	−0.114854	+	0.315559i	−0.00708222	+	0.0194582i	0.936101	+	0.351731i	$0.114407\pi$
$264$	1.26527	+	2.51064i	0.0778717	+	0.154519i
$265$	−0.506367	−	1.39123i	−0.0311059	−	0.0854627i
$266$	1.41183	−	2.15327i	0.0865646	−	0.132025i
$267$	6.61869	−	1.99154i	0.405057	−	0.121880i
$268$	8.51838	+	3.10044i	0.520343	+	0.189389i
$269$	1.95505	−	3.38625i	0.119202	−	0.206463i	−0.800250	−	0.599667i	$-0.795300\pi$
$269$	1.95505	−	3.38625i	0.119202	−	0.206463i	0.919452	+	0.393203i	$0.128633\pi$
$270$	0.545146	−	3.16896i	0.0331766	−	0.192857i
$271$	9.90664	−	5.71960i	0.601785	−	0.347441i	−0.167958	−	0.985794i	$-0.553717\pi$
$271$	9.90664	−	5.71960i	0.601785	−	0.347441i	0.769744	+	0.638353i	$0.220384\pi$
$272$	−19.9768	+	16.7625i	−1.21127	+	1.01638i
$273$	1.41546	−	0.615310i	0.0856676	−	0.0372402i
$274$	−5.81862	+	32.9991i	−0.351516	+	1.99355i
$275$	−3.15680	+	3.76213i	−0.190362	+	0.226865i
$276$	3.97323	−	2.00236i	0.239160	−	0.120528i
$277$	−20.2855	−	7.38332i	−1.21884	−	0.443621i	−0.349077	−	0.937094i	$-0.613505\pi$
$277$	−20.2855	−	7.38332i	−1.21884	−	0.443621i	−0.869761	+	0.493473i	$0.835727\pi$
$278$	4.75557	−	8.23689i	0.285220	−	0.494016i
$279$	4.21077	+	3.11663i	0.252092	+	0.186588i
$280$	−1.49247	+	0.176606i	−0.0891921	+	0.0105542i
$281$	−5.27604	+	14.4958i	−0.314742	+	0.864746i	0.676941	+	0.736038i	$0.263305\pi$
$281$	−5.27604	+	14.4958i	−0.314742	+	0.864746i	−0.991682	+	0.128709i	$0.958917\pi$
$282$	−6.63052	+	15.4303i	−0.394842	+	0.918859i
$283$	2.06439	+	5.67186i	0.122715	+	0.337157i	0.985805	−	0.167893i	$-0.0536963\pi$
$283$	2.06439	+	5.67186i	0.122715	+	0.337157i	−0.863090	+	0.505050i	$0.831474\pi$
$284$	4.25721	+	11.6966i	0.252619	+	0.694065i
$285$	0.133619	−	0.310951i	0.00791488	−	0.0184192i
$286$	0.203697	−	0.559654i	0.0120449	−	0.0330930i
$287$	27.9899	+	12.0263i	1.65219	+	0.709889i
$288$	−1.88458	+	16.5222i	−0.111050	+	0.973577i
$289$	−5.13781	+	8.89894i	−0.302224	+	0.523467i
$290$	−0.678499	−	0.246953i	−0.0398428	−	0.0145016i
$291$	−24.6663	+	12.4309i	−1.44596	+	0.728710i
$292$	5.53384	−	6.59498i	0.323844	−	0.385942i
$293$	−3.30078	+	18.7197i	−0.192834	+	1.09361i	0.722636	+	0.691228i	$0.242930\pi$
$293$	−3.30078	+	18.7197i	−0.192834	+	1.09361i	−0.915470	+	0.402386i	$0.868181\pi$
$294$	−10.5643	+	18.4787i	−0.616120	+	1.07770i
$295$	3.57826	−	3.00252i	0.208334	−	0.174813i
$296$	8.57121	−	4.94859i	0.498191	−	0.287631i
$297$	5.23380	−	0.0218432i	0.303696	−	0.00126747i
$298$	7.11650	−	12.3261i	0.412248	−	0.714035i
$299$	0.751330	+	0.273462i	0.0434505	+	0.0158147i
$300$	−8.75061	+	2.63303i	−0.505217	+	0.152018i
$301$	16.2709	+	0.924354i	0.937841	+	0.0532789i
$302$	−6.81534	−	18.7250i	−0.392179	−	1.07750i
$303$	−5.87076	−	11.6492i	−0.337266	−	0.669229i
$304$	−0.946709	+	2.60106i	−0.0542975	+	0.149181i
$305$			4.97454i			0.284841i
$306$	6.41780	+	26.7470i	0.366881	+	1.52902i
$307$	−11.6881	−	6.74813i	−0.667076	−	0.385136i	0.127892	−	0.991788i	$-0.459179\pi$
$307$	−11.6881	−	6.74813i	−0.667076	−	0.385136i	−0.794968	+	0.606652i	$0.792512\pi$
$308$	0.830989	+	2.76133i	0.0473500	+	0.157342i
$309$	1.18342	−	0.139991i	0.0673224	−	0.00796381i
$310$	−0.187646	+	1.06420i	−0.0106576	+	0.0604422i
$311$	18.7686	−	6.83122i	1.06427	−	0.387363i	0.250239	−	0.968184i	$-0.419491\pi$
$311$	18.7686	−	6.83122i	1.06427	−	0.387363i	0.814031	+	0.580821i	$0.197268\pi$
$312$	−0.753277	+	0.562424i	−0.0426459	+	0.0318410i
$313$	23.8526	−	4.20587i	1.34823	−	0.237730i	0.547526	−	0.836788i	$-0.315570\pi$
$313$	23.8526	−	4.20587i	1.34823	−	0.237730i	0.800705	+	0.599059i	$0.204458\pi$
$314$	8.98318	−	15.5593i	0.506950	−	0.878064i
$315$	−0.945825	+	2.63308i	−0.0532912	+	0.148357i
$316$	6.41434	+	11.1100i	0.360835	+	0.624984i
$317$	11.4898	+	13.6930i	0.645329	+	0.769073i	0.985202	−	0.171398i	$-0.0548284\pi$
$317$	11.4898	+	13.6930i	0.645329	+	0.769073i	−0.339873	+	0.940471i	$0.610384\pi$
$318$	12.7511	+	0.724872i	0.715048	+	0.0406488i
$319$	0.204082	−	1.15741i	0.0114264	−	0.0648023i
$320$	0.0845169	−	0.0307616i	0.00472464	−	0.00171963i
$321$	−21.7103	−	5.11354i	−1.21175	−	0.285410i
$322$	−10.5588	+	3.17755i	−0.588421	+	0.177078i
$323$			2.89513i			0.161089i
$324$	8.16618	+	5.30612i	0.453677	+	0.294784i
$325$	−1.42215	−	0.821079i	−0.0788868	−	0.0455453i
$326$	−26.6590	+	4.70070i	−1.47650	+	0.260348i
$327$	4.14690	−	1.24779i	0.229324	−	0.0690029i
$328$	−18.2735	−	3.22211i	−1.00899	−	0.177911i
$329$	8.01245	−	12.2203i	0.441741	−	0.673728i
$330$	0.485870	+	0.964100i	0.0267463	+	0.0530720i
$331$	6.09096	−	5.11092i	0.334789	−	0.280922i	−0.459859	−	0.887992i	$-0.652100\pi$
$331$	6.09096	−	5.11092i	0.334789	−	0.280922i	0.794648	+	0.607070i	$0.207655\pi$
$332$	3.97842			0.218344
$333$	−1.12248	−	18.3906i	−0.0615115	−	1.00780i
$334$		−	3.85242i		−	0.210795i
$335$	−2.77489	−	1.00998i	−0.151609	−	0.0551811i
$336$	6.50080	−	21.9391i	0.354648	−	1.19688i
$337$	−3.13485	−	2.63046i	−0.170766	−	0.143290i	0.553399	−	0.832916i	$-0.313330\pi$
$337$	−3.13485	−	2.63046i	−0.170766	−	0.143290i	−0.724166	+	0.689626i	$0.757775\pi$
$338$	−22.2797	−	3.92852i	−1.21186	−	0.213683i
$339$	3.09211	−	7.19584i	0.167941	−	0.390824i
$340$	−1.52596	+	1.28044i	−0.0827570	+	0.0694414i
$341$	−1.75890			−0.0952497
$342$	2.00945	+	2.11806i	0.108659	+	0.114531i
$343$	11.8437	−	14.2382i	0.639499	−	0.768792i
$344$	−9.77562	+	1.72370i	−0.527066	+	0.0929359i
$345$	−1.29429	+	0.652275i	−0.0696825	+	0.0351173i
$346$	−21.5817	−	3.80544i	−1.16024	−	0.204582i
$347$	7.73595	−	9.21934i	0.415287	−	0.494920i	−0.517331	−	0.855786i	$-0.673074\pi$
$347$	7.73595	−	9.21934i	0.415287	−	0.494920i	0.932618	+	0.360866i	$0.117519\pi$
$348$	1.49847	−	1.59272i	0.0803265	−	0.0853788i
$349$	5.51788	+	6.57596i	0.295365	+	0.352003i	0.893235	−	0.449591i	$-0.148430\pi$
$349$	5.51788	+	6.57596i	0.295365	+	0.352003i	−0.597869	+	0.801594i	$0.703986\pi$
$350$	22.4902	−	2.66129i	1.20215	−	0.142252i
$351$	0.311087	+	1.72220i	0.0166046	+	0.0919242i
$352$	−2.79165	−	4.83528i	−0.148795	−	0.257721i
$353$	2.55700	+	14.5015i	0.136095	+	0.771834i	0.974091	+	0.226157i	$0.0726163\pi$
$353$	2.55700	+	14.5015i	0.136095	+	0.771834i	−0.837996	+	0.545677i	$0.816273\pi$
$354$	11.6105	+	38.5863i	0.617091	+	2.05084i
$355$	−1.38680	−	3.81021i	−0.0736038	−	0.202225i
$356$	−4.05765	+	1.47686i	−0.215055	+	0.0782736i
$357$	−1.45894	−	23.8885i	−0.0772154	−	1.26431i
$358$	−4.06235	−	23.0388i	−0.214702	−	1.21764i
$359$	−9.38510	−	5.41849i	−0.495327	−	0.285977i	0.231455	−	0.972846i	$-0.425651\pi$
$359$	−9.38510	−	5.41849i	−0.495327	−	0.285977i	−0.726782	+	0.686869i	$0.758985\pi$
$360$	0.193125	−	1.69313i	0.0101786	−	0.0892357i
$361$	−9.34635	−	16.1884i	−0.491913	−	0.852019i
$362$	6.20063	+	35.1655i	0.325898	+	1.84826i
$363$	13.8586	−	10.3473i	0.727386	−	0.543094i
$364$	−0.861046	+	0.433975i	−0.0451311	+	0.0227465i
$365$	−1.80267	+	2.14834i	−0.0943562	+	0.112449i
$366$	−39.4270	−	16.9421i	−2.06088	−	0.885579i
$367$	−19.6061	−	23.3656i	−1.02343	−	1.21967i	−0.975312	−	0.220833i	$-0.929122\pi$
$367$	−19.6061	−	23.3656i	−1.02343	−	1.21967i	−0.0481167	−	0.998842i	$-0.515322\pi$
$368$	10.2656	−	5.92687i	0.535134	−	0.308960i
$369$	−20.5506	+	27.7652i	−1.06982	+	1.44540i
$370$	3.29140	−	1.90029i	0.171112	−	0.0987913i
$371$	−10.8167	−	2.54730i	−0.561577	−	0.132249i
$372$	−2.73688	−	1.79463i	−0.141901	−	0.0930470i
$373$	24.5686	+	20.6155i	1.27211	+	1.06743i	0.994281	+	0.106800i	$0.0340604\pi$
$373$	24.5686	+	20.6155i	1.27211	+	1.06743i	0.277832	+	0.960630i	$0.410384\pi$
$374$	−7.07459	−	5.93629i	−0.365818	−	0.306958i
$375$	5.77373	−	1.73730i	0.298154	−	0.0897136i
$376$	−3.04416	+	8.36376i	−0.156991	+	0.431328i
$377$	0.392979			0.0202394
$378$	−17.6479	−	16.4640i	−0.907709	−	0.846818i
$379$	3.24554			0.166712			0.0833561	−	0.996520i	$-0.473436\pi$
$379$	3.24554			0.166712			0.0833561	+	0.996520i	$0.473436\pi$
$380$	−0.0723161	+	0.198687i	−0.00370974	+	0.0101924i
$381$	7.52042	−	31.9290i	0.385283	−	1.63577i
$382$	30.5919	+	25.6697i	1.56522	+	1.31337i
$383$	−24.4142	−	20.4859i	−1.24751	−	1.04678i	−0.996899	−	0.0786938i	$-0.974925\pi$
$383$	−24.4142	−	20.4859i	−1.24751	−	1.04678i	−0.250608	−	0.968089i	$-0.580631\pi$
$384$	−1.13386	+	19.9455i	−0.0578618	+	1.01784i
$385$	−0.270698	−	0.899515i	−0.0137960	−	0.0458435i
$386$	−21.7547	+	12.5601i	−1.10729	+	0.639292i
$387$	−5.25063	+	17.7176i	−0.266905	+	0.900636i
$388$	14.9443	−	8.62809i	0.758681	−	0.438025i
$389$	−8.49623	−	10.1254i	−0.430776	−	0.513379i	0.506370	−	0.862316i	$-0.330987\pi$
$389$	−8.49623	−	10.1254i	−0.430776	−	0.513379i	−0.937146	+	0.348938i	$0.886543\pi$
$390$	−0.289263	+	0.215974i	−0.0146474	+	0.0109363i
$391$	7.96940	−	9.49756i	0.403030	−	0.480312i
$392$	−5.03385	+	10.0950i	−0.254248	+	0.509876i
$393$	14.2579	+	6.12674i	0.719215	+	0.309053i
$394$	−6.35655	−	36.0498i	−0.320238	−	1.81616i
$395$	−2.08950	−	3.61912i	−0.105134	−	0.182097i
$396$	−3.26369	+	0.199201i	−0.164007	+	0.0100102i
$397$	−7.23472	−	4.17697i	−0.363100	−	0.209636i	0.307340	−	0.951600i	$-0.400561\pi$
$397$	−7.23472	−	4.17697i	−0.363100	−	0.209636i	−0.670440	+	0.741964i	$0.733895\pi$
$398$	−3.14039	−	17.8100i	−0.157414	−	0.892737i
$399$	−1.40191	−	2.11847i	−0.0701834	−	0.106056i
$400$	−22.8777	+	8.32679i	−1.14388	+	0.416340i
$401$	−0.427148	−	1.17358i	−0.0213308	−	0.0586058i	0.928570	−	0.371157i	$-0.121039\pi$
$401$	−0.427148	−	1.17358i	−0.0213308	−	0.0586058i	−0.949901	+	0.312551i	$0.898817\pi$
$402$	17.4555	−	18.5534i	0.870601	−	0.925359i
$403$	−0.102128	−	0.579198i	−0.00508737	−	0.0288519i
$404$	4.07481	+	7.05777i	0.202729	+	0.351137i
$405$	−2.66017	−	1.72849i	−0.132185	−	0.0858893i
$406$	−4.34255	+	3.24256i	−0.215517	+	0.160926i
$407$	3.97638	+	4.73887i	0.197102	+	0.234897i
$408$	4.20024	+	13.9591i	0.207943	+	0.691078i
$409$	18.4823	−	22.0264i	0.913893	−	1.08913i	−0.0818212	−	0.996647i	$-0.526074\pi$
$409$	18.4823	−	22.0264i	0.913893	−	1.08913i	0.995714	−	0.0924878i	$-0.0294819\pi$
$410$	−7.01714	−	1.23731i	−0.346552	−	0.0611064i
$411$	27.6456	+	18.1278i	1.36366	+	0.894176i
$412$	−0.733169	+	0.129277i	−0.0361206	+	0.00636904i
$413$	−4.12004	−	34.8178i	−0.202734	−	1.71327i
$414$	−0.761710	−	12.4798i	−0.0374360	−	0.613347i
$415$	−1.29599			−0.0636175
$416$	1.43015	−	1.20003i	0.0701186	−	0.0588365i
$417$	−5.61399	−	7.51904i	−0.274918	−	0.368209i
$418$	−0.965366	−	0.170220i	−0.0472176	−	0.00832574i
$419$	17.9352	+	15.0494i	0.876194	+	0.735214i	0.965393	−	0.260800i	$-0.0839864\pi$
$419$	17.9352	+	15.0494i	0.876194	+	0.735214i	−0.0891993	+	0.996014i	$0.528431\pi$
$420$	0.496575	−	1.67586i	0.0242304	−	0.0817736i
$421$	19.5384	+	7.11141i	0.952246	+	0.346589i	0.770990	−	0.636847i	$-0.219762\pi$
$421$	19.5384	+	7.11141i	0.952246	+	0.346589i	0.181255	+	0.983436i	$0.441984\pi$
$422$		−	40.3710i		−	1.96523i
$423$	11.4041	+	12.0205i	0.554487	+	0.584456i
$424$	6.76857			0.328711
$425$	−19.5067	+	16.3680i	−0.946212	+	0.793966i
$426$	34.9219	+	1.98523i	1.69197	+	0.0961846i
$427$	31.2250	+	20.4732i	1.51109	+	0.990767i
$428$	13.7226	+	2.41967i	0.663308	+	0.116959i
$429$	−0.427957	−	0.402632i	−0.0206619	−	0.0194393i
$430$	−3.75390	+	0.661913i	−0.181029	+	0.0319203i
$431$	−6.13033	−	3.53935i	−0.295288	−	0.170484i	0.345036	−	0.938589i	$-0.387867\pi$
$431$	−6.13033	−	3.53935i	−0.295288	−	0.170484i	−0.640324	+	0.768105i	$0.721200\pi$
$432$	22.5236	+	12.8790i	1.08367	+	0.619641i
$433$		−	27.8368i		−	1.33775i	−0.743374	−	0.668876i	$-0.766776\pi$
$433$		−	27.8368i		−	1.33775i	0.743374	−	0.668876i	$-0.233224\pi$
$434$	5.90765	+	5.55765i	0.283576	+	0.266776i
$435$	−0.488133	+	0.518835i	−0.0234042	+	0.0248762i
$436$	−2.54229	+	0.925319i	−0.121754	+	0.0443148i
$437$	0.228519	−	1.29599i	0.0109315	−	0.0619958i
$438$	−10.8877	−	21.6043i	−0.520237	−	1.03229i
$439$	−3.91966	−	4.67127i	−0.187075	−	0.222947i	0.664353	−	0.747419i	$-0.268707\pi$
$439$	−3.91966	−	4.67127i	−0.187075	−	0.222947i	−0.851428	+	0.524472i	$0.824263\pi$
$440$	0.286078	+	0.495502i	0.0136382	+	0.0236221i
$441$	12.6351	+	16.7736i	0.601672	+	0.798743i
$442$	1.54402	−	2.67432i	0.0734415	−	0.127204i
$443$	−8.81598	+	1.55449i	−0.418860	+	0.0738563i	−0.379106	−	0.925353i	$-0.623768\pi$
$443$	−8.81598	+	1.55449i	−0.418860	+	0.0738563i	−0.0397537	+	0.999210i	$0.512657\pi$
$444$	1.35221	+	11.4309i	0.0641729	+	0.542488i
$445$	1.32179	−	0.481094i	0.0626591	−	0.0228060i
$446$	5.18292	−	29.3938i	0.245418	−	1.39184i
$447$	−8.40110	−	11.2519i	−0.397358	−	0.532197i
$448$	0.154748	−	0.657113i	0.00731113	−	0.0310457i
$449$	13.4361	+	7.75732i	0.634087	+	0.366090i	0.782333	−	0.622860i	$-0.214029\pi$
$449$	13.4361	+	7.75732i	0.634087	+	0.366090i	−0.148246	+	0.988951i	$0.547363\pi$
$450$	−2.91022	+	25.5139i	−0.137189	+	1.20274i
$451$		−	11.5979i		−	0.546124i
$452$	−1.67349	+	4.59788i	−0.0787145	+	0.216266i
$453$	−19.6279	−	1.11580i	−0.922200	−	0.0524249i
$454$	8.25242	+	22.6733i	0.387305	+	1.06411i
$455$	0.280489	−	0.141369i	0.0131495	−	0.00662748i
$456$	1.12693	+	1.06025i	0.0527734	+	0.0496505i
$457$	31.6803	+	11.5307i	1.48194	+	0.539382i	0.951314	−	0.308224i	$-0.0997346\pi$
$457$	31.6803	+	11.5307i	1.48194	+	0.539382i	0.530626	+	0.847606i	$0.321957\pi$
$458$	−11.7130	+	20.2876i	−0.547315	+	0.947977i
$459$	26.7446	+	4.60079i	1.24833	+	0.214747i
$460$	0.784160	−	0.452735i	0.0365616	−	0.0211089i
$461$	−6.66457	+	5.59224i	−0.310400	+	0.260457i	−0.784657	−	0.619930i	$-0.787161\pi$
$461$	−6.66457	+	5.59224i	−0.310400	+	0.260457i	0.474257	+	0.880386i	$0.342717\pi$
$462$	8.05127	+	0.918055i	0.374579	+	0.0427118i
$463$	0.286128	−	1.62271i	0.0132975	−	0.0754139i	−0.977437	−	0.211228i	$-0.932254\pi$
$463$	0.286128	−	1.62271i	0.0132975	−	0.0754139i	0.990734	+	0.135814i	$0.0433649\pi$
$464$	3.74496	−	4.46308i	0.173856	−	0.207193i
$465$	0.891550	+	0.584607i	0.0413447	+	0.0271105i
$466$	−18.8826	−	6.87269i	−0.874718	−	0.318371i
$467$	9.62207	−	16.6659i	0.445256	−	0.771207i	−0.552814	−	0.833305i	$-0.686446\pi$
$467$	9.62207	−	16.6659i	0.445256	−	0.771207i	0.998070	+	0.0620983i	$0.0197792\pi$
$468$	−0.255098	−	1.06315i	−0.0117919	−	0.0491443i
$469$	−17.7600	+	13.2613i	−0.820079	+	0.612349i
$470$	−1.16898	+	3.21174i	−0.0539208	+	0.148146i
$471$	−10.6047	−	14.2033i	−0.488640	−	0.654455i
$472$	7.30386	+	20.0672i	0.336188	+	0.923668i
$473$	−2.12204	−	5.83025i	−0.0975715	−	0.268075i
$474$	35.8006	−	4.23498i	1.64438	−	0.194519i
$475$	−0.924429	+	2.53985i	−0.0424157	+	0.116536i
$476$	1.75701	+	14.8482i	0.0805323	+	0.680566i
$477$	5.62376	−	11.2759i	0.257494	−	0.516290i
$478$	−20.6749	+	35.8100i	−0.945648	+	1.63791i
$479$	2.14195	+	0.779607i	0.0978683	+	0.0356211i	0.390490	−	0.920607i	$-0.372306\pi$
$479$	2.14195	+	0.779607i	0.0978683	+	0.0356211i	−0.292622	+	0.956228i	$0.594528\pi$
$480$	−0.192075	+	3.37877i	−0.00876699	+	0.154219i
$481$	−1.32961	+	1.58456i	−0.0606248	+	0.0722499i
$482$	0.698682	−	3.96242i	0.0318241	−	0.180483i
$483$	−1.23248	+	10.8088i	−0.0560797	+	0.491815i
$484$	−8.27709	+	6.94531i	−0.376231	+	0.315696i
$485$	−4.86816	+	2.81063i	−0.221052	+	0.127624i
$486$	22.7595	−	15.1970i	1.03239	−	0.689350i
$487$	−2.87457	+	4.97890i	−0.130259	+	0.225615i	−0.923776	−	0.382932i	$-0.874914\pi$
$487$	−2.87457	+	4.97890i	−0.130259	+	0.225615i	0.793517	+	0.608548i	$0.208248\pi$
$488$	−21.3708	−	7.77835i	−0.967413	−	0.352109i
$489$	−6.12299	+	25.9960i	−0.276891	+	1.17558i
$490$	−1.93303	+	3.87655i	−0.0873254	+	0.175125i
$491$	10.3834	+	28.5281i	0.468596	+	1.28746i	0.918868	+	0.394566i	$0.129105\pi$
$491$	10.3834	+	28.5281i	0.468596	+	1.28746i	−0.450272	+	0.892892i	$0.648673\pi$
$492$	11.8335	−	18.0466i	0.533495	−	0.813603i
$493$	2.08418	−	5.72623i	0.0938666	−	0.257896i
$494$		−	0.327775i		−	0.0147473i
$495$	1.06316	−	0.0648906i	0.0477855	−	0.00291662i
$496$	−7.55122	−	4.35970i	−0.339060	−	0.195756i
$497$	−29.6241	−	6.97636i	−1.32882	−	0.312933i
$498$	4.41383	−	10.2717i	0.197789	−	0.460285i
$499$	−1.61837	+	9.17824i	−0.0724483	+	0.410874i	0.926918	+	0.375265i	$0.122448\pi$
$499$	−1.61837	+	9.17824i	−0.0724483	+	0.410874i	−0.999366	+	0.0356094i	$0.988663\pi$
$500$	−3.53964	+	1.28832i	−0.158297	+	0.0576155i
$501$	−3.49203	−	1.50056i	−0.156012	−	0.0670400i
$502$	−5.79637	+	1.02206i	−0.258705	+	0.0456166i
$503$	10.1934	−	17.6555i	0.454501	−	0.787219i	−0.544158	−	0.838983i	$-0.683151\pi$
$503$	10.1934	−	17.6555i	0.454501	−	0.787219i	0.998659	+	0.0517635i	$0.0164842\pi$
$504$	−9.83290	−	8.18048i	−0.437992	−	0.364387i
$505$	−1.32738	−	2.29910i	−0.0590678	−	0.102308i
$506$	2.69835	+	3.21577i	0.119956	+	0.142958i
$507$	−12.2392	+	18.6653i	−0.543561	+	0.828955i
$508$	−3.55857	+	20.1817i	−0.157886	+	0.895417i
$509$	−26.7646	+	9.74150i	−1.18632	+	0.431785i	−0.858429	−	0.512932i	$-0.828559\pi$
$509$	−26.7646	+	9.74150i	−1.18632	+	0.431785i	−0.327889	+	0.944716i	$0.606337\pi$
$510$	1.61292	+	5.36037i	0.0714213	+	0.237361i
$511$	6.06601	+	20.1570i	0.268344	+	0.891694i
$512$		−	11.5849i		−	0.511984i
$513$	2.70261	−	0.996464i	0.119323	−	0.0439950i
$514$	−14.9060	−	8.60600i	−0.657476	−	0.379594i
$515$	0.238833	−	0.0421126i	0.0105242	−	0.00185570i
$516$	2.64675	−	11.2371i	0.116517	−	0.494688i
$517$	−5.47868	−	0.966040i	−0.240952	−	0.0424864i
$518$	1.61800	−	28.4808i	0.0710909	−	1.25138i
$519$	−11.8557	+	18.0805i	−0.520409	+	0.793647i
$520$	−0.146556	+	0.122975i	−0.00642690	+	0.00539281i
$521$	6.29710			0.275881			0.137940	−	0.990441i	$-0.455952\pi$
$521$	6.29710			0.275881			0.137940	+	0.990441i	$0.455952\pi$
$522$	−2.44969	−	5.63586i	−0.107220	−	0.246675i
$523$			1.46443i			0.0640350i	0.999487	+	0.0320175i	$0.0101932\pi$
$523$			1.46443i			0.0640350i	−0.999487	+	0.0320175i	$0.989807\pi$
$524$	−9.11028	−	3.31587i	−0.397985	−	0.144855i
$525$	6.34781	−	21.4228i	0.277041	−	0.934969i
$526$	−0.451618	−	0.378952i	−0.0196915	−	0.0165231i
$527$	−8.98133	−	1.58365i	−0.391233	−	0.0689849i
$528$	−8.65100	+	1.02336i	−0.376486	+	0.0445359i
$529$	13.3019	−	11.1616i	0.578343	−	0.485287i
$530$	2.59917			0.112901
$531$	39.4990	+	4.50540i	1.71411	+	0.195518i
$532$	0.949528	+	1.27164i	0.0411673	+	0.0551326i
$533$	3.81914	−	0.673418i	0.165425	−	0.0291690i
$534$	−0.688693	+	12.1147i	−0.0298027	+	0.524255i
$535$	−4.47020	−	0.788216i	−0.193264	−	0.0340776i
$536$	8.67784	−	10.3418i	0.374826	−	0.446700i
$537$	−22.4658	−	5.29150i	−0.969472	−	0.228345i
$538$	4.41243	+	5.25853i	0.190233	+	0.226711i
$539$	−6.76032	−	2.00288i	−0.291187	−	0.0862701i
$540$	1.72051	+	0.983785i	0.0740389	+	0.0423354i
$541$	18.0276	+	31.2248i	0.775068	+	1.34246i	0.934756	+	0.355290i	$0.115618\pi$
$541$	18.0276	+	31.2248i	0.775068	+	1.34246i	−0.159688	+	0.987168i	$0.551049\pi$
$542$	3.48728	+	19.7774i	0.149792	+	0.849511i
$543$	34.2910	+	8.07676i	1.47157	+	0.346607i
$544$	−9.90128	−	27.2035i	−0.424514	−	1.16634i
$545$	0.828162	−	0.301426i	0.0354746	−	0.0129117i
$546$	0.165176	+	2.70456i	0.00706886	+	0.115744i
$547$	−4.12524	−	23.3954i	−0.176383	−	1.00032i	−0.936536	−	0.350572i	$-0.885987\pi$
$547$	−4.12524	−	23.3954i	−0.176383	−	1.00032i	0.760153	−	0.649744i	$-0.225124\pi$
$548$	−17.8861	−	10.3265i	−0.764056	−	0.441128i
$549$	−30.7144	+	29.1395i	−1.31086	+	1.24364i
$550$	−4.31094	−	7.46676i	−0.183819	−	0.318384i
$551$	−0.112317	−	0.636983i	−0.00478487	−	0.0271364i
$552$	−0.778404	−	6.58027i	−0.0331311	−	0.280075i
$553$	−31.3166	−	1.77910i	−1.33172	−	0.0756551i
$554$	24.3607	−	29.0319i	1.03499	−	1.23345i
$555$	−0.440486	−	3.72367i	−0.0186976	−	0.158061i
$556$	3.76821	+	4.49078i	0.159808	+	0.190451i
$557$	−26.3606	+	15.2193i	−1.11694	+	0.644863i	−0.940617	−	0.339470i	$-0.889752\pi$
$557$	−26.3606	+	15.2193i	−1.11694	+	0.644863i	−0.176319	+	0.984333i	$0.556419\pi$
$558$	−7.66987	+	5.07518i	−0.324691	+	0.214849i
$559$	1.79667	−	1.03731i	0.0759909	−	0.0438734i
$560$	1.06744	−	4.53272i	0.0451075	−	0.191543i
$561$	−8.13657	+	4.10053i	−0.343526	+	0.173124i
$562$	−20.7459	−	17.4078i	−0.875111	−	0.734306i
$563$	34.7083	+	29.1237i	1.46278	+	1.22742i	0.922538	+	0.385907i	$0.126111\pi$
$563$	34.7083	+	29.1237i	1.46278	+	1.22742i	0.540241	+	0.841510i	$0.318333\pi$
$564$	−7.53929	−	7.09315i	−0.317461	−	0.298676i
$565$	0.545147	−	1.49778i	0.0229345	−	0.0630120i
$566$	−10.5965			−0.445403
$567$	−21.7979	+	9.58402i	−0.915424	+	0.402491i
$568$	18.5373			0.777807
$569$	10.4450	−	28.6974i	0.437876	−	1.20306i	−0.502994	−	0.864290i	$-0.667768\pi$
$569$	10.4450	−	28.6974i	0.437876	−	1.20306i	0.940871	−	0.338766i	$-0.110009\pi$
$570$	0.432748	+	0.407141i	0.0181258	+	0.0170532i
$571$	20.5687	+	17.2592i	0.860774	+	0.722275i	0.962135	−	0.272574i	$-0.0878751\pi$
$571$	20.5687	+	17.2592i	0.860774	+	0.722275i	−0.101360	+	0.994850i	$0.532320\pi$
$572$	0.281205	+	0.235959i	0.0117578	+	0.00986594i
$573$	35.1841	−	17.7315i	1.46984	−	0.740743i
$574$	−36.6463	+	38.9541i	−1.52959	+	1.62591i
$575$	10.0240	−	5.78739i	0.418032	−	0.241351i
$576$	0.685009	+	0.341641i	0.0285421	+	0.0142351i
$577$	−35.6467	+	20.5806i	−1.48399	+	0.856782i	−0.999834	−	0.0182004i	$-0.994206\pi$
$577$	−35.6467	+	20.5806i	−1.48399	+	0.856782i	−0.484155	+	0.874982i	$0.660873\pi$
$578$	−11.5957	−	13.8192i	−0.482317	−	0.574803i
$579$	2.91143	+	24.6119i	0.120995	+	1.02283i
$580$	0.286066	−	0.340920i	0.0118782	−	0.0141559i
$581$	−5.33376	+	8.13488i	−0.221282	+	0.337492i
$582$	−5.69657	−	48.1562i	−0.236131	−	1.99614i
$583$	0.734643	+	4.16637i	0.0304258	+	0.172553i
$584$	−6.41066	−	11.1036i	−0.265275	−	0.459469i
$585$	0.0830993	+	0.346327i	0.00343573	+	0.0143188i
$586$	−28.9001	−	16.6855i	−1.19385	−	0.689270i
$587$	3.64875	+	20.6931i	0.150600	+	0.854096i	0.962699	+	0.270575i	$0.0872140\pi$
$587$	3.64875	+	20.6931i	0.150600	+	0.854096i	−0.812099	+	0.583520i	$0.801675\pi$
$588$	−8.47563	−	10.0142i	−0.349529	−	0.412977i
$589$	−0.909637	+	0.331081i	−0.0374810	+	0.0136420i
$590$	2.80473	+	7.70593i	0.115469	+	0.317248i
$591$	−35.1533	−	8.27985i	−1.44601	−	0.340588i
$592$	5.32521	+	30.2008i	0.218865	+	1.24124i
$593$	2.06936	+	3.58423i	0.0849783	+	0.147187i	0.905382	−	0.424598i	$-0.139585\pi$
$593$	2.06936	+	3.58423i	0.0849783	+	0.147187i	−0.820404	+	0.571785i	$0.806251\pi$
$594$	−3.10657	+	8.64735i	−0.127464	+	0.354805i
$595$	−0.572352	−	4.83686i	−0.0234642	−	0.198292i
$596$	5.63896	+	6.72026i	0.230981	+	0.275272i
$597$	−17.3671	−	4.09058i	−0.710790	−	0.167416i
$598$	−0.902264	+	1.07528i	−0.0368963	+	0.0439713i
$599$	6.52086	+	1.14980i	0.266435	+	0.0469797i	0.305270	−	0.952266i	$-0.401253\pi$
$599$	6.52086	+	1.14980i	0.266435	+	0.0469797i	−0.0388344	+	0.999246i	$0.512364\pi$
$600$	−0.772402	+	13.5872i	−0.0315332	+	0.554697i
$601$	−31.9246	+	5.62916i	−1.30223	+	0.229618i	−0.781394	−	0.624038i	$-0.785491\pi$
$601$	−31.9246	+	5.62916i	−1.30223	+	0.229618i	−0.520836	+	0.853657i	$0.674380\pi$
$602$	−11.2947	+	26.2873i	−0.460338	+	1.07139i
$603$	−10.0186	−	23.0493i	−0.407991	−	0.938639i
$604$	12.2821			0.499750
$605$	2.69630	−	2.26246i	0.109620	−	0.0919821i
$606$	22.7429	−	2.69034i	0.923865	−	0.109287i
$607$	24.9150	+	4.39319i	1.01127	+	0.178314i	0.654647	−	0.755934i	$-0.272817\pi$
$607$	24.9150	+	4.39319i	1.01127	+	0.178314i	0.356623	+	0.934249i	$0.383928\pi$
$608$	−2.35389	−	1.97515i	−0.0954630	−	0.0801030i
$609$	1.24775	+	5.19932i	0.0505616	+	0.210687i
$610$	−8.20654	−	2.98694i	−0.332273	−	0.120937i
$611$		−	1.86020i		−	0.0752557i
$612$	−16.8445	−	1.92135i	−0.680899	−	0.0776659i
$613$	22.4873			0.908252			0.454126	−	0.890937i	$-0.349952\pi$
$613$	22.4873			0.908252			0.454126	+	0.890937i	$0.349952\pi$
$614$	18.1505	−	15.2301i	0.732495	−	0.614637i
$615$	−3.85481	+	5.87875i	−0.155441	+	0.237054i
$616$	4.28763	+	0.243581i	0.172754	+	0.00981416i
$617$	−34.4853	−	6.08069i	−1.38833	−	0.244799i	−0.570988	−	0.820958i	$-0.693440\pi$
$617$	−34.4853	−	6.08069i	−1.38833	−	0.244799i	−0.817337	+	0.576159i	$0.804551\pi$
$618$	−0.479634	+	2.03636i	−0.0192937	+	0.0819142i
$619$	0.0312777	−	0.00551510i	0.00125716	−	0.000221671i	−0.173020	−	0.984918i	$-0.555352\pi$
$619$	0.0312777	−	0.00551510i	0.00125716	−	0.000221671i	0.174277	+	0.984697i	$0.444241\pi$
$620$	−0.576814	−	0.333024i	−0.0231654	−	0.0133745i
$621$	−11.6090	−	4.17054i	−0.465852	−	0.167358i
$622$			35.0645i			1.40596i
$623$	2.42016	−	10.2769i	0.0969617	−	0.411734i
$624$	−0.839297	−	2.78932i	−0.0335988	−	0.111662i
$625$	−21.7555	+	7.91835i	−0.870219	+	0.316734i
$626$	−7.38375	+	41.8753i	−0.295114	+	1.67367i
$627$	−0.530316	+	0.808754i	−0.0211788	+	0.0322985i
$628$	7.11808	+	8.48300i	0.284042	+	0.338508i
$629$	16.0376	+	27.7779i	0.639461	+	1.10758i
$630$	−3.77590	−	3.14135i	−0.150435	−	0.125155i
$631$	12.1382	−	21.0239i	0.483213	−	0.836949i	−0.516601	−	0.856226i	$-0.672803\pi$
$631$	12.1382	−	21.0239i	0.483213	−	0.836949i	0.999814	+	0.0192769i	$0.00613639\pi$
$632$	18.8151	−	3.31761i	0.748425	−	0.131967i
$633$	−36.5944	−	15.7249i	−1.45450	−	0.625009i
$634$	−29.4884	+	10.7329i	−1.17113	+	0.426257i
$635$	1.15922	−	6.57426i	0.0460022	−	0.260892i
$636$	−3.10788	+	7.23252i	−0.123235	+	0.286788i
$637$	0.267011	−	2.34244i	0.0105793	−	0.0928108i
$638$	1.78684	+	1.03163i	0.0707418	+	0.0408428i
$639$	15.4019	−	30.8817i	0.609291	−	1.22166i
$640$			4.06567i			0.160710i
$641$	5.81918	−	15.9881i	0.229844	−	0.631491i	−0.770136	−	0.637880i	$-0.779812\pi$
$641$	5.81918	−	15.9881i	0.229844	−	0.631491i	0.999980	+	0.00638934i	$0.00203380\pi$
$642$	21.4717	−	32.7452i	0.847419	−	1.29235i
$643$	4.55599	+	12.5175i	0.179671	+	0.493641i	0.996534	−	0.0831906i	$-0.0265110\pi$
$643$	4.55599	+	12.5175i	0.179671	+	0.493641i	−0.816863	+	0.576832i	$0.804289\pi$
$644$	0.385481	−	6.78542i	0.0151901	−	0.267383i
$645$	−0.862188	+	3.66054i	−0.0339486	+	0.144134i
$646$	−4.77612	−	1.73836i	−0.187914	−	0.0683950i
$647$	−14.3125	+	24.7899i	−0.562681	+	0.974593i	0.434580	+	0.900633i	$0.356897\pi$
$647$	−14.3125	+	24.7899i	−0.562681	+	0.974593i	−0.997261	+	0.0739595i	$0.976436\pi$
$648$	11.5852	−	8.72548i	0.455110	−	0.342769i
$649$	−11.5595	+	6.67391i	−0.453752	+	0.261974i
$650$	2.20847	−	1.85312i	0.0866231	−	0.0726854i
$651$	7.33882	−	3.19023i	0.287631	−	0.125035i
$652$	2.89733	−	16.4316i	0.113468	−	0.643509i
$653$	−9.00061	+	10.7265i	−0.352221	+	0.419761i	−0.912843	−	0.408311i	$-0.866118\pi$
$653$	−9.00061	+	10.7265i	−0.352221	+	0.419761i	0.560622	+	0.828072i	$0.310562\pi$
$654$	−0.431496	+	7.59040i	−0.0168728	+	0.296808i
$655$	2.96771	+	1.08016i	0.115958	+	0.0422053i
$656$	28.7472	−	49.7916i	1.12239	−	1.94404i
$657$	−23.8241	+	1.45412i	−0.929467	+	0.0567306i
$658$	15.3489	+	20.5558i	0.598364	+	0.801350i
$659$	13.4707	−	37.0105i	0.524745	−	1.44173i	−0.340437	−	0.940267i	$-0.610575\pi$
$659$	13.4707	−	37.0105i	0.524745	−	1.44173i	0.865182	−	0.501458i	$-0.167203\pi$
$660$	−0.660822	+	0.0781710i	−0.0257225	+	0.00304280i
$661$	9.11360	+	25.0394i	0.354478	+	0.973921i	0.980913	+	0.194447i	$0.0622912\pi$
$661$	9.11360	+	25.0394i	0.354478	+	0.973921i	−0.626435	+	0.779474i	$0.715487\pi$
$662$	4.77425	+	13.1171i	0.185556	+	0.509812i
$663$	−1.82273	−	2.44125i	−0.0707889	−	0.0948103i
$664$	2.02645	−	5.56762i	0.0786415	−	0.216066i
$665$	−0.309312	−	0.414242i	−0.0119946	−	0.0160636i
$666$	31.0131	+	9.19077i	1.20173	+	0.356135i
$667$	−1.38496	+	2.39882i	−0.0536258	+	0.0928826i
$668$	2.23128	+	0.812121i	0.0863310	+	0.0314219i
$669$	−24.6252	−	16.1472i	−0.952067	−	0.624289i
$670$	3.33234	−	3.97133i	0.128740	−	0.153426i
$671$	2.46840	−	13.9990i	0.0952915	−	0.540425i
$672$	20.4180	+	15.1113i	0.787640	+	0.582931i
$673$	15.2986	−	12.8371i	0.589718	−	0.494832i	−0.298404	−	0.954440i	$-0.596454\pi$
$673$	15.2986	−	12.8371i	0.589718	−	0.494832i	0.888122	+	0.459608i	$0.152010\pi$
$674$	6.22179	−	3.59215i	0.239654	−	0.138365i
$675$	21.9936	+	12.5759i	0.846532	+	0.484046i
$676$	6.97210	−	12.0760i	0.268158	−	0.464463i
$677$	11.5482	+	4.20319i	0.443832	+	0.161542i	0.554262	−	0.832342i	$-0.313001\pi$
$677$	11.5482	+	4.20319i	0.443832	+	0.161542i	−0.110430	+	0.993884i	$0.535223\pi$
$678$	10.0144	+	9.42179i	0.384600	+	0.361842i
$679$	−2.39311	+	42.1247i	−0.0918393	+	1.61660i
$680$	1.01465	+	2.78772i	0.0389099	+	0.106904i
$681$	23.7667	+	1.35108i	0.910740	+	0.0517734i
$682$	1.05612	−	2.90167i	0.0404410	−	0.111111i
$683$			42.1297i			1.61205i	0.591882	+	0.806024i	$0.298385\pi$
$683$			42.1297i			1.61205i	−0.591882	+	0.806024i	$0.701615\pi$
$684$	−1.65036	+	0.717351i	−0.0631033	+	0.0274286i
$685$	5.82647	+	3.36391i	0.222618	+	0.128529i
$686$	16.3774	+	28.0879i	0.625294	+	1.07240i
$687$	13.8274	+	18.5195i	0.527546	+	0.706563i
$688$	5.34094	−	30.2900i	0.203621	−	1.15479i
$689$	−1.32931	+	0.483830i	−0.0506428	+	0.0184325i
$690$	−0.298912	−	2.52686i	−0.0113794	−	0.0961961i
$691$	26.2753	−	4.63305i	0.999561	−	0.176250i	0.350155	−	0.936692i	$-0.386129\pi$
$691$	26.2753	−	4.63305i	0.999561	−	0.176250i	0.649406	+	0.760442i	$0.275018\pi$
$692$	6.75367	−	11.6977i	0.256736	−	0.444680i
$693$	3.96822	−	6.94049i	0.150740	−	0.263647i
$694$	10.5642	+	18.2978i	0.401012	+	0.694574i
$695$	−1.22751	−	1.46289i	−0.0465621	−	0.0554906i
$696$	−1.46568	−	2.90831i	−0.0555564	−	0.110239i
$697$	10.4424	−	59.2215i	0.395532	−	2.24318i
$698$	−14.1616	+	5.15440i	−0.536024	+	0.195097i
$699$	−13.5847	+	14.4391i	−0.513821	+	0.546138i
$700$	−3.19971	+	13.5871i	−0.120938	+	0.513544i
$701$		−	51.3062i		−	1.93781i	−0.247434	−	0.968905i	$-0.579587\pi$
$701$		−	51.3062i		−	1.93781i	0.247434	−	0.968905i	$-0.420413\pi$
$702$	−3.02792	−	0.520883i	−0.114281	−	0.0196595i
$703$	2.94844	+	1.70228i	0.111203	+	0.0642029i
$704$	−0.253105	+	0.0446293i	−0.00953927	+	0.00168203i
$705$	2.45595	+	2.31062i	0.0924965	+	0.0870231i
$706$	−25.4585	−	4.48902i	−0.958143	−	0.168947i
$707$	−19.8944	−	1.13020i	−0.748204	−	0.0425056i
$708$	−24.7964	−	1.40961i	−0.931905	−	0.0529765i
$709$	9.48209	−	7.95642i	0.356107	−	0.298810i	−0.447130	−	0.894469i	$-0.647554\pi$
$709$	9.48209	−	7.95642i	0.356107	−	0.298810i	0.803237	+	0.595660i	$0.203109\pi$
$710$	7.11843			0.267150
$711$	10.1059	−	34.1010i	0.379000	−	1.27889i
$712$			6.43075i			0.241002i
$713$	3.89546	+	1.41783i	0.145886	+	0.0530982i
$714$	40.2850	+	11.9369i	1.50763	+	0.446727i
$715$	−0.0916036	−	0.0768646i	−0.00342578	−	0.00287457i
$716$	14.2002	+	2.50388i	0.530686	+	0.0935742i
$717$	24.4069	+	32.6891i	0.911492	+	1.22080i
$718$	14.5742	−	12.2292i	0.543903	−	0.456389i
$719$	−6.72204			−0.250690			−0.125345	−	0.992113i	$-0.540004\pi$
$719$	−6.72204			−0.250690			−0.125345	+	0.992113i	$0.540004\pi$
$720$	4.72515	+	2.35662i	0.176096	+	0.0878261i
$721$	0.718599	−	1.67246i	0.0267620	−	0.0622858i
$722$	32.3180	−	5.69854i	1.20275	−	0.212078i
$723$	−3.31959	−	2.17672i	−0.123457	−	0.0809532i
$724$	−21.6747	−	3.82183i	−0.805532	−	0.142037i
$725$	3.65683	−	4.35804i	0.135811	−	0.161854i
$726$	8.74876	+	29.0756i	0.324697	+	1.07910i
$727$	−0.661805	−	0.788708i	−0.0245450	−	0.0292516i	0.753632	−	0.657296i	$-0.228300\pi$
$727$	−0.661805	−	0.788708i	−0.0245450	−	0.0292516i	−0.778177	+	0.628045i	$0.783856\pi$
$728$	0.168746	+	1.42604i	0.00625414	+	0.0528527i
$729$	−4.91028	−	26.5497i	−0.181862	−	0.983324i
$730$	−2.46173	−	4.26384i	−0.0911128	−	0.157812i
$731$	−5.58625	−	31.6812i	−0.206615	−	1.17177i
$732$	18.1242	−	19.2642i	0.669891	−	0.712024i
$733$	−11.4122	−	31.3546i	−0.421518	−	1.15811i	−0.950838	−	0.309688i	$-0.899775\pi$
$733$	−11.4122	−	31.3546i	−0.421518	−	1.15811i	0.529321	−	0.848422i	$-0.322447\pi$
$734$	50.3188	−	18.3145i	1.85730	−	0.676002i
$735$	2.76097	+	3.26215i	0.101840	+	0.120326i
$736$	2.28504	+	12.9591i	0.0842277	+	0.477679i
$737$	7.30775	+	4.21913i	0.269184	+	0.155414i
$738$	−33.4649	−	50.5739i	−1.23186	−	1.86165i
$739$	19.8033	+	34.3003i	0.728476	+	1.26176i	0.957527	+	0.288342i	$0.0931041\pi$
$739$	19.8033	+	34.3003i	0.728476	+	1.26176i	−0.229052	+	0.973414i	$0.573563\pi$
$740$	0.406776	+	2.30694i	0.0149534	+	0.0848048i
$741$	−0.297112	−	0.127672i	−0.0109147	−	0.00469013i
$742$	10.6972	−	16.3149i	0.392705	−	0.598940i
$743$	−27.9888	+	33.3557i	−1.02681	+	1.22370i	−0.0524680	+	0.998623i	$0.516709\pi$
$743$	−27.9888	+	33.3557i	−1.02681	+	1.22370i	−0.974340	+	0.225080i	$0.927736\pi$
$744$	−3.90556	+	2.91603i	−0.143185	+	0.106907i
$745$	−1.83692	−	2.18915i	−0.0672994	−	0.0802043i
$746$	−48.7616	+	28.1525i	−1.78529	+	1.03074i
$747$	−7.59154	−	8.00184i	−0.277760	−	0.292772i
$748$	4.92962	−	2.84612i	0.180245	−	0.104064i
$749$	−23.3451	+	24.8153i	−0.853013	+	0.906732i
$750$	−0.600773	+	10.5681i	−0.0219371	+	0.385893i
$751$	−34.3654	−	28.8360i	−1.25401	−	1.05224i	−0.996293	−	0.0860209i	$-0.972585\pi$
$751$	−34.3654	−	28.8360i	−1.25401	−	1.05224i	−0.257719	−	0.966220i	$-0.582971\pi$
$752$	−21.1264	−	17.7271i	−0.770399	−	0.646442i
$753$	−1.33130	+	5.65222i	−0.0485152	+	0.205978i
$754$	−0.235962	+	0.648301i	−0.00859324	+	0.0236097i
$755$	−4.00093			−0.145609
$756$	13.2561	−	6.75072i	0.482120	−	0.245521i
$757$	−17.5926			−0.639414			−0.319707	−	0.947516i	$-0.603585\pi$
$757$	−17.5926			−0.639414			−0.319707	+	0.947516i	$0.603585\pi$
$758$	−1.94877	+	5.35420i	−0.0707824	+	0.194473i
$759$	3.96597	−	1.19335i	0.143956	−	0.0433158i
$760$	0.241218	+	0.202406i	0.00874991	+	0.00734204i
$761$	30.0803	+	25.2404i	1.09041	+	0.914963i	0.996743	−	0.0806406i	$-0.0256966\pi$
$761$	30.0803	+	25.2404i	1.09041	+	0.914963i	0.0936671	+	0.995604i	$0.470141\pi$
$762$	48.1580	+	31.5781i	1.74458	+	1.14395i
$763$	1.51634	−	6.43890i	0.0548951	−	0.233104i
$764$	−21.3166	+	12.3072i	−0.771208	+	0.445257i
$765$	5.48716	+	0.625887i	0.198389	+	0.0226290i
$766$	48.4552	−	27.9756i	1.75076	−	1.01080i
$767$	−2.86888	−	3.41900i	−0.103589	−	0.123453i
$768$	−31.4114	−	13.4978i	−1.13346	−	0.487058i
$769$	14.8060	−	17.6451i	0.533917	−	0.636297i	−0.429896	−	0.902879i	$-0.641450\pi$
$769$	14.8060	−	17.6451i	0.533917	−	0.636297i	0.963812	+	0.266581i	$0.0858941\pi$
$770$	1.64648	+	0.0935367i	0.0593349	+	0.00337083i
$771$	−13.6070	+	10.1595i	−0.490042	+	0.365884i
$772$	−2.68861	−	15.2479i	−0.0967653	−	0.548783i
$773$	6.55667	+	11.3565i	0.235827	+	0.408465i	0.959513	−	0.281665i	$-0.0908868\pi$
$773$	6.55667	+	11.3565i	0.235827	+	0.408465i	−0.723686	+	0.690130i	$0.757553\pi$
$774$	−26.0762	−	19.3005i	−0.937289	−	0.693741i
$775$	−7.37351	−	4.25710i	−0.264864	−	0.152919i
$776$	−4.46260	−	25.3086i	−0.160198	−	0.908527i
$777$	−25.1862	−	12.5602i	−0.903551	−	0.450595i
$778$	21.8055	−	7.93655i	0.781765	−	0.284539i
$779$	−2.18310	−	5.99801i	−0.0782176	−	0.214901i
$780$	−0.0641112	−	0.213067i	−0.00229555	−	0.00762903i
$781$	2.01199	+	11.4106i	0.0719946	+	0.408302i
$782$	10.8830	+	18.8500i	0.389176	+	0.674073i
$783$	−6.06281	+	0.0253031i	−0.216667	+	0.000904260i
$784$	−24.0586	−	25.3551i	−0.859237	−	0.905541i
$785$	−2.31874	−	2.76337i	−0.0827595	−	0.0986289i
$786$	−18.6684	+	19.8426i	−0.665880	+	0.707762i
$787$	12.5548	−	14.9623i	0.447532	−	0.533348i	−0.494363	−	0.869256i	$-0.664599\pi$
$787$	12.5548	−	14.9623i	0.447532	−	0.533348i	0.941895	+	0.335908i	$0.109043\pi$
$788$	22.2197	+	3.91793i	0.791544	+	0.139570i
$789$	−0.519411	+	0.261763i	−0.0184915	+	0.00931903i
$790$	7.22511	−	1.27398i	0.257058	−	0.0453263i
$791$	−7.15791	−	9.58613i	−0.254506	−	0.340843i
$792$	−1.38362	+	4.66885i	−0.0491648	+	0.165900i
$793$	4.75313			0.168789
$794$	11.2348	−	9.42714i	0.398709	−	0.334557i
$795$	1.01240	−	2.35602i	0.0359063	−	0.0835595i
$796$	10.9774	+	1.93561i	0.389084	+	0.0686060i
$797$	−33.0527	−	27.7345i	−1.17079	−	0.982407i	−0.170792	−	0.985307i	$-0.554632\pi$
$797$	−33.0527	−	27.7345i	−1.17079	−	0.982407i	−0.999996	+	0.00289994i	$0.999077\pi$
$798$	4.33663	−	1.04072i	0.153515	−	0.0368412i
$799$	−27.1056	−	9.86564i	−0.958928	−	0.349021i
$800$		−	27.0268i		−	0.955540i
$801$	10.7131	+	5.34307i	0.378530	+	0.188788i
$802$	2.19254			0.0774214
$803$	6.13897	−	5.15121i	0.216640	−	0.181782i
$804$	7.06618	+	14.0212i	0.249205	+	0.494491i
$805$	−0.125572	+	2.21038i	−0.00442583	+	0.0779056i
$806$	1.01683	+	0.179295i	0.0358163	+	0.00631539i
$807$	6.48528	−	1.95140i	0.228293	−	0.0686925i
$808$	11.9526	−	2.10756i	0.420490	−	0.0741438i
$809$	3.19658	+	1.84555i	0.112386	+	0.0648860i	0.555139	−	0.831757i	$-0.312665\pi$
$809$	3.19658	+	1.84555i	0.112386	+	0.0648860i	−0.442753	+	0.896643i	$0.645998\pi$
$810$	4.44879	−	3.35064i	0.156314	−	0.117729i
$811$			11.5750i			0.406454i	0.979132	+	0.203227i	$0.0651429\pi$
$811$			11.5750i			0.406454i	−0.979132	+	0.203227i	$0.934857\pi$
$812$	−0.962614	−	3.19872i	−0.0337811	−	0.112253i
$813$	19.2855	+	4.54243i	0.676374	+	0.159310i
$814$	−10.2053	+	3.71444i	−0.357697	+	0.130191i
$815$	−0.943816	+	5.35264i	−0.0330604	+	0.187495i
$816$	−45.0954	−	2.56356i	−1.57865	−	0.0897427i
$817$	−2.19488	−	2.61576i	−0.0767892	−	0.0915138i
$818$	25.2395	+	43.7161i	0.882479	+	1.52850i
$819$	2.51589	+	0.903729i	0.0879122	+	0.0315788i
$820$	2.19591	−	3.80342i	0.0766844	−	0.132821i
$821$	−28.5920	+	5.04153i	−0.997866	+	0.175951i	−0.648646	−	0.761090i	$-0.724665\pi$
$821$	−28.5920	+	5.04153i	−0.997866	+	0.175951i	−0.349220	+	0.937041i	$0.613553\pi$
$822$	−46.5052	+	34.7225i	−1.62205	+	1.21109i
$823$	1.98381	−	0.722049i	0.0691514	−	0.0251691i	−0.307213	−	0.951641i	$-0.599396\pi$
$823$	1.98381	−	0.722049i	0.0691514	−	0.0251691i	0.376364	+	0.926472i	$0.377174\pi$
$824$	−0.192529	+	1.09189i	−0.00670706	+	0.0380376i
$825$	−8.44740	+	0.999274i	−0.294101	+	0.0347903i
$826$	59.9130	+	14.1093i	2.08464	+	0.490925i
$827$	23.9638	+	13.8355i	0.833303	+	0.481108i	0.854982	−	0.518657i	$-0.173568\pi$
$827$	23.9638	+	13.8355i	0.833303	+	0.481108i	−0.0216789	+	0.999765i	$0.506901\pi$
$828$	7.38873	+	2.18966i	0.256776	+	0.0760959i
$829$		−	29.6342i		−	1.02924i	−0.857419	−	0.514620i	$-0.827933\pi$
$829$		−	29.6342i		−	1.02924i	0.857419	−	0.514620i	$-0.172067\pi$
$830$	0.778169	−	2.13800i	0.0270106	−	0.0742111i
$831$	−16.8273	−	33.3900i	−0.583732	−	1.15829i
$832$	−0.0293925	−	0.0807553i	−0.00101900	−	0.00279969i
$833$	−32.7164	−	16.3139i	−1.13356	−	0.565243i
$834$	15.7751	−	4.74668i	0.546248	−	0.164364i
$835$	−0.726850	−	0.264552i	−0.0251537	−	0.00915519i
$836$	0.302096	−	0.523246i	0.0104482	−	0.0180969i
$837$	1.61291	+	8.92919i	0.0557503	+	0.308638i
$838$	−35.5963	+	20.5515i	−1.22965	+	0.709941i
$839$	41.3017	−	34.6563i	1.42589	−	1.19647i	0.477803	−	0.878467i	$-0.341433\pi$
$839$	41.3017	−	34.6563i	1.42589	−	1.19647i	0.948091	−	0.318000i	$-0.103011\pi$
$840$	−2.09236	−	1.54855i	−0.0721931	−	0.0534301i
$841$	4.79939	−	27.2187i	0.165496	−	0.938576i
$842$	−23.4635	+	27.9627i	−0.808606	+	0.963660i
$843$	−23.8601	+	12.0246i	−0.821785	+	0.414148i
$844$	23.3825	+	8.51053i	0.804859	+	0.292945i
$845$	−2.27119	+	3.93382i	−0.0781313	+	0.135327i
$846$	−26.6778	+	11.5958i	−0.917203	+	0.398673i
$847$	−3.10454	−	26.2360i	−0.106673	−	0.901478i
$848$	−7.17305	+	19.7078i	−0.246323	+	0.676768i
$849$	−4.12743	+	9.60518i	−0.141653	+	0.329649i
$850$	−15.2898	−	42.0084i	−0.524436	−	1.44088i
$851$	−4.98660	−	13.7006i	−0.170938	−	0.469650i
$852$	−8.51164	+	19.8079i	−0.291604	+	0.678608i
$853$	5.90206	−	16.2158i	0.202083	−	0.555217i	−0.796709	−	0.604363i	$-0.793428\pi$
$853$	5.90206	−	16.2158i	0.202083	−	0.555217i	0.998792	+	0.0491457i	$0.0156499\pi$
$854$	−52.5237	+	39.2192i	−1.79732	+	1.34205i
$855$	0.537613	−	0.233680i	0.0183860	−	0.00799168i
$856$	10.3760	−	17.9717i	0.354643	−	0.614260i
$857$	16.9597	+	6.17281i	0.579331	+	0.210859i	0.615030	−	0.788503i	$-0.289144\pi$
$857$	16.9597	+	6.17281i	0.579331	+	0.210859i	−0.0356997	+	0.999363i	$0.511366\pi$
$858$	0.921191	−	0.464245i	0.0314489	−	0.0158491i
$859$	9.16133	−	10.9180i	0.312581	−	0.372519i	−0.586765	−	0.809757i	$-0.699599\pi$
$859$	9.16133	−	10.9180i	0.312581	−	0.372519i	0.899346	+	0.437238i	$0.144043\pi$
$860$	0.407977	−	2.31376i	0.0139119	−	0.0788984i
$861$	21.0359	+	48.3911i	0.716901	+	1.64916i
$862$	9.51982	−	7.98808i	0.324247	−	0.272075i
$863$	−21.5995	+	12.4705i	−0.735257	+	0.424501i	−0.820342	−	0.571873i	$-0.806217\pi$
$863$	−21.5995	+	12.4705i	−0.735257	+	0.424501i	0.0850854	+	0.996374i	$0.472884\pi$
$864$	−21.9867	+	18.6060i	−0.748004	+	0.632989i
$865$	−2.20004	+	3.81057i	−0.0748034	+	0.129563i
$866$	45.9226	+	16.7145i	1.56051	+	0.567981i
$867$	−17.0431	+	5.12821i	−0.578813	+	0.174163i
$868$	−4.46431	+	2.25005i	−0.151529	+	0.0763718i
$869$	4.08428	+	11.2215i	0.138550	+	0.380663i
$870$	−0.562830	−	1.11681i	−0.0190817	−	0.0378634i
$871$	−0.965028	+	2.65139i	−0.0326987	+	0.0898390i
$872$			4.02915i			0.136444i
$873$	−45.8701	−	13.5937i	−1.55247	−	0.460076i
$874$	2.00080	+	1.15516i	0.0676780	+	0.0390739i
$875$	2.11120	−	8.96489i	0.0713715	−	0.303069i
$876$	14.8082	−	1.75172i	0.500323	−	0.0591850i
$877$	1.21727	−	6.90349i	0.0411043	−	0.233114i	−0.957334	−	0.288985i	$-0.906682\pi$
$877$	1.21727	−	6.90349i	0.0411043	−	0.233114i	0.998438	+	0.0558705i	$0.0177934\pi$
$878$	10.0598	−	3.66146i	0.339501	−	0.123568i
$879$	−26.3814	+	19.6973i	−0.889823	+	0.664374i
$880$	−1.74591	+	0.307850i	−0.0588545	+	0.0103776i
$881$	−7.65183	+	13.2534i	−0.257797	+	0.446517i	−0.965651	−	0.259841i	$-0.916330\pi$
$881$	−7.65183	+	13.2534i	−0.257797	+	0.446517i	0.707855	+	0.706358i	$0.249663\pi$
$882$	−35.2583	+	10.7726i	−1.18721	+	0.362734i
$883$	−4.97301	−	8.61350i	−0.167355	−	0.289867i	0.770134	−	0.637882i	$-0.220189\pi$
$883$	−4.97301	−	8.61350i	−0.167355	−	0.289867i	−0.937489	+	0.348015i	$0.886856\pi$
$884$	1.22345	+	1.45805i	0.0411490	+	0.0490394i
$885$	8.07751	+	0.459187i	0.271523	+	0.0154354i
$886$	2.72905	−	15.4772i	0.0916841	−	0.519966i
$887$	−1.46566	+	0.533458i	−0.0492122	+	0.0179118i	−0.366509	−	0.930415i	$-0.619447\pi$
$887$	−1.46566	+	0.533458i	−0.0492122	+	0.0179118i	0.317297	+	0.948326i	$0.397225\pi$
$888$	16.6858	+	3.93010i	0.559940	+	0.131886i
$889$	−36.4956	−	34.3334i	−1.22402	−	1.15151i
$890$			2.46945i			0.0827760i
$891$	6.62836	+	6.18418i	0.222058	+	0.207178i
$892$	15.9320	+	9.19834i	0.533443	+	0.307983i
$893$	−3.01521	+	0.531663i	−0.100900	+	0.0177914i
$894$	23.6068	−	7.10321i	0.789529	−	0.237567i
$895$	−4.62577	−	0.815648i	−0.154622	−	0.0272641i
$896$	25.5201	+	16.7326i	0.852566	+	0.558998i
$897$	0.623244	+	1.23669i	0.0208095	+	0.0412918i
$898$	−20.8649	+	17.5078i	−0.696272	+	0.584241i
$899$	2.03750			0.0679544
$900$	−14.1639	−	7.06410i	−0.472130	−	0.235470i
$901$			21.9359i			0.730790i
$902$	19.1332	+	6.96390i	0.637065	+	0.231873i
$903$	19.4287	+	20.4773i	0.646547	+	0.681440i
$904$	5.58212	+	4.68395i	0.185659	+	0.155786i
$905$	7.06061	+	1.24498i	0.234702	+	0.0413844i
$906$	13.6262	−	31.7104i	0.452701	−	1.05351i
$907$	−14.8030	+	12.4212i	−0.491526	+	0.412439i	−0.854573	−	0.519331i	$-0.826181\pi$
$907$	−14.8030	+	12.4212i	−0.491526	+	0.412439i	0.363047	+	0.931771i	$0.381737\pi$
$908$	−14.8718			−0.493539
$909$	6.41991	−	21.6632i	0.212935	−	0.718523i
$910$	0.0647994	+	0.547609i	0.00214808	+	0.0181531i
$911$	−17.0503	+	3.00643i	−0.564902	+	0.0996075i	−0.448804	−	0.893630i	$-0.648150\pi$
$911$	−17.0503	+	3.00643i	−0.564902	+	0.0996075i	−0.116098	+	0.993238i	$0.537039\pi$
$912$	−4.28135	+	2.15764i	−0.141770	+	0.0714465i
$913$	3.64707	+	0.643077i	0.120701	+	0.0212828i
$914$	−38.0445	+	45.3397i	−1.25840	+	1.49970i
$915$	−5.90404	+	6.27538i	−0.195181	+	0.207458i
$916$	−9.28116	−	11.0609i	−0.306658	−	0.365461i
$917$	18.9940	−	14.1827i	0.627238	−	0.468355i
$918$	−23.6486	+	41.3583i	−0.780521	+	1.36503i
$919$	0.419253	+	0.726167i	0.0138299	+	0.0239540i	0.872858	−	0.487975i	$-0.162264\pi$
$919$	0.419253	+	0.726167i	0.0138299	+	0.0239540i	−0.859028	+	0.511929i	$0.828931\pi$
$920$	−0.234162	−	1.32800i	−0.00772010	−	0.0437829i
$921$	−6.73552	−	22.3848i	−0.221943	−	0.737605i
$922$	−5.22386	−	14.3524i	−0.172039	−	0.472672i
$923$	−3.64063	+	1.32508i	−0.119833	+	0.0436155i
$924$	−2.22900	+	4.46968i	−0.0733287	+	0.147042i
$925$	5.19988	+	29.4900i	0.170971	+	0.969625i
$926$	2.50520	+	1.44638i	0.0823260	+	0.0475309i
$927$	1.65903	+	1.22795i	0.0544898	+	0.0403310i
$928$	3.23384	+	5.60117i	0.106156	+	0.183867i
$929$	2.75942	+	15.6494i	0.0905335	+	0.513441i	0.996025	+	0.0890762i	$0.0283915\pi$
$929$	2.75942	+	15.6494i	0.0905335	+	0.513441i	−0.905491	+	0.424365i	$0.860497\pi$
$930$	−1.49976	+	1.11977i	−0.0491790	+	0.0367188i
$931$	−3.87319	+	0.236693i	−0.126939	+	0.00775729i
$932$	7.96119	−	9.48777i	0.260777	−	0.310782i
$933$	31.7843	+	13.6580i	1.04057	+	0.447142i
$934$	21.7164	+	25.8806i	0.710582	+	0.846838i
$935$	−1.60584	+	0.927133i	−0.0525167	+	0.0303205i
$936$	−1.61777	−	0.184529i	−0.0528786	−	0.00603153i
$937$	−9.96827	+	5.75518i	−0.325649	+	0.188014i	−0.653908	−	0.756574i	$-0.726872\pi$
$937$	−9.96827	+	5.75518i	−0.325649	+	0.188014i	0.328259	+	0.944588i	$0.393538\pi$
$938$	−11.2134	−	37.2614i	−0.366129	−	1.21663i
$939$	35.0819	+	23.0039i	1.14485	+	0.750702i
$940$	−1.61378	−	1.35412i	−0.0526355	−	0.0441665i
$941$	8.51414	+	7.14421i	0.277553	+	0.232895i	0.770928	−	0.636922i	$-0.219793\pi$
$941$	8.51414	+	7.14421i	0.277553	+	0.232895i	−0.493375	+	0.869817i	$0.664237\pi$
$942$	29.7989	−	8.96640i	0.970901	−	0.292141i
$943$	−9.34897	+	25.6861i	−0.304444	+	0.836454i
$944$	−66.1692			−2.15362
$945$	−4.31823	+	2.19907i	−0.140472	+	0.0715359i
$946$	10.8924			0.354142
$947$	−2.50226	+	6.87491i	−0.0813126	+	0.223404i	−0.973686	−	0.227893i	$-0.926816\pi$
$947$	−2.50226	+	6.87491i	−0.0813126	+	0.223404i	0.892374	+	0.451297i	$0.149039\pi$
$948$	−5.09419	+	21.6281i	−0.165451	+	0.702448i
$949$	2.05272	+	1.72244i	0.0666342	+	0.0559128i
$950$	−3.63494	−	3.05008i	−0.117933	−	0.0989576i
$951$	−1.75718	+	30.9103i	−0.0569804	+	1.00234i
$952$	21.6743	+	5.10422i	0.702468	+	0.165429i
$953$	−4.40070	+	2.54074i	−0.142553	+	0.0823028i	−0.569580	−	0.821936i	$-0.692894\pi$
$953$	−4.40070	+	2.54074i	−0.142553	+	0.0823028i	0.427027	+	0.904239i	$0.359561\pi$
$954$	15.2253	+	16.0481i	0.492936	+	0.519578i
$955$	6.94398	−	4.00911i	0.224702	−	0.129732i
$956$	−16.3823	−	19.5237i	−0.529843	−	0.631442i
$957$	1.63112	−	1.21785i	0.0527266	−	0.0393676i
$958$	−2.57225	+	3.06549i	−0.0831055	+	0.0990413i
$959$	45.0946	−	22.7281i	1.45618	−	0.733928i
$960$	0.143128	+	0.0615032i	0.00461942	+	0.00198501i
$961$	4.85358	+	27.5260i	0.156567	+	0.887937i
$962$	−1.81571	−	3.14491i	−0.0585409	−	0.101396i
$963$	−21.3185	−	32.2176i	−0.686979	−	1.03820i
$964$	2.14771	+	1.23998i	0.0691729	+	0.0399370i
$965$	0.875826	+	4.96706i	0.0281938	+	0.159895i
$966$	−17.0913	−	8.52329i	−0.549902	−	0.274232i
$967$	−1.71991	+	0.625995i	−0.0553085	+	0.0201306i	−0.369526	−	0.929220i	$-0.620480\pi$
$967$	−1.71991	+	0.625995i	−0.0553085	+	0.0201306i	0.314218	+	0.949351i	$0.398258\pi$
$968$	5.50362	+	15.1211i	0.176893	+	0.486010i
$969$	−3.43609	+	3.65220i	−0.110383	+	0.117326i
$970$	−1.71366	−	9.71867i	−0.0550225	−	0.312048i
$971$	19.7282	+	34.1703i	0.633109	+	1.09658i	0.986912	+	0.161257i	$0.0515548\pi$
$971$	19.7282	+	34.1703i	0.633109	+	1.09658i	−0.353804	+	0.935320i	$0.615112\pi$
$972$	4.00407	+	16.3857i	0.128430	+	0.525572i
$973$	−14.2345	+	1.68438i	−0.456336	+	0.0539989i
$974$	−6.48771	−	7.73175i	−0.207880	−	0.247741i
$975$	−0.819545	−	2.72367i	−0.0262464	−	0.0872274i
$976$	45.2958	−	53.9815i	1.44988	−	1.72791i
$977$	47.9915	+	8.46220i	1.53539	+	0.270730i	0.876459	−	0.481477i	$-0.159900\pi$
$977$	47.9915	+	8.46220i	1.53539	+	0.270730i	0.658927	+	0.752207i	$0.271011\pi$
$978$	−39.2094	−	25.7103i	−1.25378	−	0.822126i
$979$	−3.95842	+	0.697977i	−0.126512	+	0.0223074i
$980$	−1.83776	−	1.93680i	−0.0587052	−	0.0618688i
$981$	6.71226	+	3.34767i	0.214306	+	0.106883i
$982$	−53.2978			−1.70080
$983$	−15.5815	+	13.0744i	−0.496972	+	0.417009i	−0.856517	−	0.516119i	$-0.827376\pi$
$983$	−15.5815	+	13.0744i	−0.496972	+	0.417009i	0.359545	+	0.933128i	$0.382932\pi$
$984$	−19.2279	−	25.7526i	−0.612962	−	0.820964i
$985$	−7.23815	−	1.27628i	−0.230627	−	0.0406657i
$986$	8.19518	+	6.87657i	0.260988	+	0.218995i
$987$	24.6114	−	5.90636i	0.783390	−	0.188001i
$988$	0.189844	+	0.0690975i	0.00603974	+	0.00219828i
$989$			14.6229i			0.464982i
$990$	−0.531319	+	1.79287i	−0.0168864	+	0.0569811i
$991$	6.34196			0.201459			0.100730	−	0.994914i	$-0.467882\pi$
$991$	6.34196			0.201459			0.100730	+	0.994914i	$0.467882\pi$
$992$	7.41495	−	6.22189i	0.235425	−	0.197545i
$993$	13.7497	+	0.781635i	0.436332	+	0.0248044i
$994$	29.2966	−	44.6822i	0.929232	−	1.41723i
$995$	−3.57594	−	0.630534i	−0.113365	−	0.0199893i
$996$	5.01878	+	4.72180i	0.159026	+	0.149616i
$997$	33.5162	−	5.90980i	1.06147	−	0.187165i	0.384460	−	0.923142i	$-0.374388\pi$
$997$	33.5162	−	5.90980i	1.06147	−	0.187165i	0.677007	+	0.735976i	$0.263277\pi$
$998$	−14.1697	−	8.18087i	−0.448533	−	0.258961i
$999$	20.4109	−	24.5320i	0.645772	−	0.776157i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	189.2.bd.a.59.6	yes	132
3.2	odd	2		567.2.bd.a.206.17		132
7.5	odd	6		189.2.ba.a.5.17	✓	132
21.5	even	6		567.2.ba.a.530.6		132
27.11	odd	18		189.2.ba.a.38.17	yes	132
27.16	even	9		567.2.ba.a.521.6		132
189.124	odd	18		567.2.bd.a.278.17		132
189.173	even	18	inner	189.2.bd.a.173.6	yes	132

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
189.2.ba.a.5.17	✓	132	7.5	odd	6
189.2.ba.a.38.17	yes	132	27.11	odd	18
189.2.bd.a.59.6	yes	132	1.1	even	1	trivial
189.2.bd.a.173.6	yes	132	189.173	even	18	inner
567.2.ba.a.521.6		132	27.16	even	9
567.2.ba.a.530.6		132	21.5	even	6
567.2.bd.a.206.17		132	3.2	odd	2
567.2.bd.a.278.17		132	189.124	odd	18

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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 189 = 3^{3} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	189.bd (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.600445 + 1.64971i) q^{2} +(1.26150 + 1.18685i) q^{3} +(-0.828916 - 0.695543i) q^{4} +(0.270023 + 0.226576i) q^{5} +(-2.71542 + 1.36847i) q^{6} +(2.53352 - 0.762430i) q^{7} +(-1.39560 + 0.805749i) q^{8} +(0.182767 + 2.99443i) q^{9} +(-0.535918 + 0.309412i) q^{10} +(-0.647450 - 0.771601i) q^{11} +(-0.220171 - 1.86123i) q^{12} +(0.216492 - 0.258005i) q^{13} +(-0.263449 + 4.63736i) q^{14} +(0.0717217 + 0.606302i) q^{15} +(-0.867071 - 4.91741i) q^{16} +(-2.61130 - 4.52291i) q^{17} +(-5.04967 - 1.49648i) q^{18} +(-0.480077 - 0.277173i) q^{19} +(-0.0662328 - 0.375625i) q^{20} +(4.10092 + 2.04510i) q^{21} +(1.66167 - 0.604800i) q^{22} +(0.811938 + 2.23078i) q^{23} +(-2.71685 - 0.639915i) q^{24} +(-0.846665 - 4.80168i) q^{25} +(0.295641 + 0.512066i) q^{26} +(-3.32338 + 3.99439i) q^{27} +(-2.63037 - 1.13018i) q^{28} +(0.750003 + 0.893819i) q^{29} +(-1.04329 - 0.245731i) q^{30} +(1.12246 - 1.33769i) q^{31} +(5.45888 + 0.962549i) q^{32} +(0.0990172 - 1.74180i) q^{33} +(9.02943 - 1.59213i) q^{34} +(0.856855 + 0.368160i) q^{35} +(1.93126 - 2.60925i) q^{36} -6.14160 q^{37} +(0.745514 - 0.625561i) q^{38} +(0.579318 - 0.0685296i) q^{39} +(-0.559406 - 0.0986384i) q^{40} +(8.82053 + 7.40131i) q^{41} +(-5.83620 + 5.53736i) q^{42} +(5.78827 + 2.10676i) q^{43} +1.08992i q^{44} +(-0.629114 + 0.849974i) q^{45} -4.16766 q^{46} +(4.23097 - 3.55021i) q^{47} +(4.74242 - 7.23239i) q^{48} +(5.83740 - 3.86326i) q^{49} +(8.42975 + 1.48639i) q^{50} +(2.07386 - 8.80488i) q^{51} +(-0.358907 + 0.0632850i) q^{52} +(-3.63746 - 2.10009i) q^{53} +(-4.59407 - 7.88102i) q^{54} -0.355046i q^{55} +(-2.92144 + 3.10542i) q^{56} +(-0.276655 - 0.919434i) q^{57} +(-1.92488 + 0.700598i) q^{58} +(2.30113 - 13.0504i) q^{59} +(0.362258 - 0.552459i) q^{60} +(9.07139 + 10.8109i) q^{61} +(1.53283 + 2.65494i) q^{62} +(2.74608 + 7.44708i) q^{63} +(0.127580 - 0.220974i) q^{64} +(0.116915 - 0.0206153i) q^{65} +(2.81401 + 1.20921i) q^{66} +(-7.87228 + 2.86527i) q^{67} +(-0.981328 + 5.56539i) q^{68} +(-1.62335 + 3.77778i) q^{69} +(-1.12185 + 1.19250i) q^{70} +(-9.96202 - 5.75157i) q^{71} +(-2.66782 - 4.03175i) q^{72} +7.95615i q^{73} +(3.68770 - 10.1319i) q^{74} +(4.63081 - 7.06218i) q^{75} +(0.205158 + 0.563667i) q^{76} +(-2.22862 - 1.46123i) q^{77} +(-0.234794 + 0.996854i) q^{78} +(-11.1407 - 4.05487i) q^{79} +(0.880037 - 1.52427i) q^{80} +(-8.93319 + 1.09456i) q^{81} +(-17.5062 + 10.1072i) q^{82} +(-2.81649 + 2.36332i) q^{83} +(-1.97686 - 4.54759i) q^{84} +(0.319671 - 1.81295i) q^{85} +(-6.95108 + 8.28397i) q^{86} +(-0.114701 + 2.01770i) q^{87} +(1.52530 + 0.555162i) q^{88} +(1.99527 - 3.45591i) q^{89} +(-1.02446 - 1.54822i) q^{90} +(0.351774 - 0.818719i) q^{91} +(0.878576 - 2.41387i) q^{92} +(3.00362 - 0.355309i) q^{93} +(3.31634 + 9.11158i) q^{94} +(-0.0668311 - 0.183617i) q^{95} +(5.74398 + 7.69314i) q^{96} +(-5.45431 + 14.9856i) q^{97} +(2.86821 + 11.9497i) q^{98} +(2.19217 - 2.07976i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 132 q - 3 q^{2} - 9 q^{3} - 3 q^{4} - 9 q^{5} + 18 q^{6} - 6 q^{7} - 18 q^{8} - 15 q^{9} - 9 q^{10} + 9 q^{11} - 9 q^{12} - 42 q^{14} - 24 q^{15} - 15 q^{16} - 9 q^{17} - 3 q^{18} - 9 q^{19} - 18 q^{20}+ \cdots + 96 q^{99}+O(q^{100}) \) 132 * q - 3 * q^2 - 9 * q^3 - 3 * q^4 - 9 * q^5 + 18 * q^6 - 6 * q^7 - 18 * q^8 - 15 * q^9 - 9 * q^10 + 9 * q^11 - 9 * q^12 - 42 * q^14 - 24 * q^15 - 15 * q^16 - 9 * q^17 - 3 * q^18 - 9 * q^19 - 18 * q^20 + 15 * q^21 - 12 * q^22 + 30 * q^23 - 36 * q^24 - 3 * q^25 - 12 * q^28 + 6 * q^29 - 3 * q^30 - 9 * q^31 - 51 * q^32 - 9 * q^33 + 18 * q^34 - 9 * q^35 - 6 * q^37 - 9 * q^38 - 9 * q^39 - 9 * q^40 + 27 * q^42 - 12 * q^43 - 63 * q^45 - 6 * q^46 + 45 * q^47 + 30 * q^49 - 9 * q^50 + 33 * q^51 - 9 * q^52 + 45 * q^53 + 117 * q^54 - 51 * q^56 - 3 * q^58 - 9 * q^59 - 15 * q^60 - 63 * q^61 + 99 * q^62 - 33 * q^63 + 18 * q^64 - 102 * q^65 + 63 * q^66 - 3 * q^67 + 144 * q^68 - 108 * q^69 - 15 * q^70 + 18 * q^71 + 15 * q^72 - 33 * q^74 - 9 * q^75 - 36 * q^76 - 57 * q^77 + 66 * q^78 - 21 * q^79 - 72 * q^80 + 57 * q^81 - 18 * q^82 + 90 * q^83 + 51 * q^84 + 9 * q^85 - 33 * q^86 - 9 * q^87 + 45 * q^88 - 9 * q^89 - 81 * q^90 - 21 * q^91 + 150 * q^92 - 87 * q^93 - 9 * q^94 + 27 * q^95 - 9 * q^96 - 180 * q^98 + 96 * q^99

Introduction

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