LMFDB - Embedded newform 738.2.s.b.133.6

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [738,2,Mod(133,738)] 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("738.133"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(738, base_ring=CyclotomicField(30)) chi = DirichletCharacter(H, H._module([20, 6])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 738 = 2 \cdot 3^{2} \cdot 41 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	738.s (of order $15$, degree $8$, minimal)

Newform invariants

comment:select newform

sage:traces = [176] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(1)] == traces)

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

Self dual:	no
Analytic conductor:	$5.89295966917$
Analytic rank:	$0$
Dimension:	$176$
Relative dimension:	$22$ over $\Q(\zeta_{15})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label			133.6
Character	$\chi$	$=$	738.133
Dual form			738.2.s.b.283.6

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.913545 - 0.406737i) q^{2} +(-1.25797 - 1.19060i) q^{3} +(0.669131 - 0.743145i) q^{4} +(1.47464 - 1.63776i) q^{5} +(-1.63347 - 0.576002i) q^{6} +(-0.463983 - 4.41450i) q^{7} +(0.309017 - 0.951057i) q^{8} +(0.164964 + 2.99546i) q^{9} +(0.681018 - 2.09596i) q^{10} +(-2.03463 - 2.25969i) q^{11} +(-1.72653 + 0.138188i) q^{12} +(-0.326034 + 3.10201i) q^{13} +(-2.21941 - 3.84413i) q^{14} +(-3.80496 + 0.304541i) q^{15} +(-0.104528 - 0.994522i) q^{16} +(-0.488619 + 1.50381i) q^{17} +(1.36907 + 2.66939i) q^{18} +(2.59162 - 1.88292i) q^{19} +(-0.230362 - 2.19175i) q^{20} +(-4.67221 + 6.10571i) q^{21} +(-2.77783 - 1.23677i) q^{22} +(-0.219198 + 2.08553i) q^{23} +(-1.52106 + 0.828484i) q^{24} +(0.0149664 + 0.142396i) q^{25} +(0.963854 + 2.96644i) q^{26} +(3.35886 - 3.96460i) q^{27} +(-3.59108 - 2.60907i) q^{28} +(5.46388 + 1.16138i) q^{29} +(-3.35214 + 1.82583i) q^{30} +(-3.82544 + 0.813122i) q^{31} +(-0.500000 - 0.866025i) q^{32} +(-0.130874 + 5.26504i) q^{33} +(0.165281 + 1.57254i) q^{34} +(-7.91409 - 5.74992i) q^{35} +(2.33644 + 1.88176i) q^{36} +(-0.216842 - 0.667371i) q^{37} +(1.60171 - 2.77424i) q^{38} +(4.10338 - 3.51405i) q^{39} +(-1.10191 - 1.90856i) q^{40} +(-6.06944 - 2.04008i) q^{41} +(-1.78486 + 7.47820i) q^{42} +(2.64081 - 1.17577i) q^{43} -3.04071 q^{44} +(5.14910 + 4.14706i) q^{45} +(0.648013 + 1.99438i) q^{46} +(1.15462 - 0.514069i) q^{47} +(-1.05258 + 1.37553i) q^{48} +(-12.4255 + 2.64112i) q^{49} +(0.0715901 + 0.123998i) q^{50} +(2.40510 - 1.31000i) q^{51} +(2.08708 + 2.31794i) q^{52} +(-2.34430 - 7.21500i) q^{53} +(1.45593 - 4.98801i) q^{54} -6.70117 q^{55} +(-4.34182 - 0.922882i) q^{56} +(-5.50198 - 0.716918i) q^{57} +(5.46388 - 1.16138i) q^{58} +(-0.232223 + 2.20946i) q^{59} +(-2.31970 + 3.03141i) q^{60} +(-1.08975 - 10.3683i) q^{61} +(-3.16399 + 2.29877i) q^{62} +(13.1469 - 2.11808i) q^{63} +(-0.809017 - 0.587785i) q^{64} +(4.59955 + 5.10832i) q^{65} +(2.02192 + 4.86308i) q^{66} +(5.11537 - 5.68119i) q^{67} +(0.790602 + 1.36936i) q^{68} +(2.75876 - 2.36255i) q^{69} +(-9.56858 - 2.03386i) q^{70} +(-1.94727 + 5.99309i) q^{71} +(2.89983 + 0.768758i) q^{72} +13.0090 q^{73} +(-0.469539 - 0.521476i) q^{74} +(0.150709 - 0.196948i) q^{75} +(0.334849 - 3.18587i) q^{76} +(-9.03135 + 10.0303i) q^{77} +(2.31933 - 4.87924i) q^{78} +(7.61133 - 13.1832i) q^{79} +(-1.78293 - 1.29537i) q^{80} +(-8.94557 + 0.988287i) q^{81} +(-6.37448 + 0.604955i) q^{82} +(-7.22335 + 12.5112i) q^{83} +(1.41111 + 7.55765i) q^{84} +(1.74234 + 3.01783i) q^{85} +(1.93428 - 2.14823i) q^{86} +(-5.49065 - 7.96626i) q^{87} +(-2.77783 + 1.23677i) q^{88} +(7.81762 - 5.67983i) q^{89} +(6.39070 + 1.69420i) q^{90} +13.8451 q^{91} +(1.40318 + 1.55838i) q^{92} +(5.78038 + 3.53167i) q^{93} +(0.845705 - 0.939251i) q^{94} +(0.737946 - 7.02109i) q^{95} +(-0.402102 + 1.68473i) q^{96} +(3.49168 + 0.742180i) q^{97} +(-10.2770 + 7.46669i) q^{98} +(6.43316 - 6.46743i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 176 q + 22 q^{2} + 4 q^{3} + 22 q^{4} + 2 q^{5} - 7 q^{6} - 2 q^{7} - 44 q^{8} + 4 q^{9} - 4 q^{10} + 6 q^{11} - 7 q^{12} + 8 q^{14} + 3 q^{15} + 22 q^{16} + 20 q^{17} - 7 q^{18} - 12 q^{19} + 2 q^{20}+ \cdots + 23 q^{99}+O(q^{100}) $ 176 * q + 22 * q^2 + 4 * q^3 + 22 * q^4 + 2 * q^5 - 7 * q^6 - 2 * q^7 - 44 * q^8 + 4 * q^9 - 4 * q^10 + 6 * q^11 - 7 * q^12 + 8 * q^14 + 3 * q^15 + 22 * q^16 + 20 * q^17 - 7 * q^18 - 12 * q^19 + 2 * q^20 + 32 * q^21 - 4 * q^22 + 18 * q^23 - q^24 + 24 * q^25 - 20 * q^27 + 4 * q^28 - 3 * q^29 + 3 * q^30 + 8 * q^31 - 88 * q^32 - 15 * q^33 + 5 * q^34 + 8 * q^35 - 7 * q^36 - 20 * q^37 - 4 * q^38 + 16 * q^39 - 8 * q^40 - 5 * q^41 + 84 * q^42 + 41 * q^43 + 8 * q^44 - 39 * q^45 + 24 * q^46 - 9 * q^47 - 7 * q^48 + 16 * q^49 - 96 * q^50 - 18 * q^51 + 52 * q^53 + 5 * q^54 + 20 * q^55 - 2 * q^56 - 42 * q^57 - 3 * q^58 - 28 * q^59 + 14 * q^60 + 34 * q^61 - 16 * q^62 - 50 * q^63 - 44 * q^64 - 32 * q^65 - 3 * q^66 + 36 * q^67 + 10 * q^68 - 10 * q^69 - 34 * q^70 - 34 * q^71 - q^72 + 136 * q^73 + 10 * q^74 - 59 * q^75 + 6 * q^76 + 13 * q^77 - 23 * q^78 + 6 * q^79 - 4 * q^80 + 20 * q^81 - 20 * q^82 - 6 * q^83 - q^84 - 48 * q^85 - 14 * q^86 + 4 * q^87 - 4 * q^88 - 26 * q^89 + 6 * q^90 + 16 * q^91 - 12 * q^92 - 11 * q^93 + 6 * q^94 + 7 * q^95 - 2 * q^96 - 28 * q^97 - 72 * q^98 + 23 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/738\mathbb{Z}\right)^\times$.

$n$	$83$	$703$
$\chi(n)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{5}\right)$

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 $

$2$	0.913545	−	0.406737i	0.645974	−	0.287606i
$2$	0.913545	−	0.406737i	0.645974	−	0.287606i
$3$	−1.25797	−	1.19060i	−0.726288	−	0.687391i
$3$	−1.25797	−	1.19060i	−0.726288	−	0.687391i
$4$	0.669131	−	0.743145i	0.334565	−	0.371572i
$5$	1.47464	−	1.63776i	0.659480	−	0.732427i	−0.316906	−	0.948457i	$-0.602644\pi$
$5$	1.47464	−	1.63776i	0.659480	−	0.732427i	0.976387	+	0.216030i	$0.0693108\pi$
$6$	−1.63347	−	0.576002i	−0.666861	−	0.235152i
$7$	−0.463983	−	4.41450i	−0.175369	−	1.66852i	−0.629054	−	0.777362i	$-0.716557\pi$
$7$	−0.463983	−	4.41450i	−0.175369	−	1.66852i	0.453685	−	0.891162i	$-0.350109\pi$
$8$	0.309017	−	0.951057i	0.109254	−	0.336249i
$9$	0.164964	+	2.99546i	0.0549880	+	0.998487i
$10$	0.681018	−	2.09596i	0.215357	−	0.662800i
$11$	−2.03463	−	2.25969i	−0.613464	−	0.681321i	0.353733	−	0.935346i	$-0.384912\pi$
$11$	−2.03463	−	2.25969i	−0.613464	−	0.681321i	−0.967198	+	0.254025i	$0.918245\pi$
$12$	−1.72653	+	0.138188i	−0.498406	+	0.0398914i
$13$	−0.326034	+	3.10201i	−0.0904257	+	0.860343i	0.851462	+	0.524416i	$0.175716\pi$
$13$	−0.326034	+	3.10201i	−0.0904257	+	0.860343i	−0.941888	+	0.335927i	$0.890950\pi$
$14$	−2.21941	−	3.84413i	−0.593162	−	1.02739i
$15$	−3.80496	+	0.304541i	−0.982436	+	0.0786322i
$16$	−0.104528	−	0.994522i	−0.0261321	−	0.248630i
$17$	−0.488619	+	1.50381i	−0.118507	+	0.364728i	−0.992662	−	0.120919i	$-0.961416\pi$
$17$	−0.488619	+	1.50381i	−0.118507	+	0.364728i	0.874155	+	0.485647i	$0.161416\pi$
$18$	1.36907	+	2.66939i	0.322692	+	0.629182i
$19$	2.59162	−	1.88292i	0.594559	−	0.431972i	−0.249384	−	0.968405i	$-0.580228\pi$
$19$	2.59162	−	1.88292i	0.594559	−	0.431972i	0.843943	+	0.536432i	$0.180228\pi$
$20$	−0.230362	−	2.19175i	−0.0515105	−	0.490089i
$21$	−4.67221	+	6.10571i	−1.01956	+	1.33238i
$22$	−2.77783	−	1.23677i	−0.592234	−	0.263680i
$23$	−0.219198	+	2.08553i	−0.0457059	+	0.434862i	0.947610	+	0.319431i	$0.103492\pi$
$23$	−0.219198	+	2.08553i	−0.0457059	+	0.434862i	−0.993315	+	0.115431i	$0.963175\pi$
$24$	−1.52106	+	0.828484i	−0.310484	+	0.169114i
$25$	0.0149664	+	0.142396i	0.00299328	+	0.0284791i
$26$	0.963854	+	2.96644i	0.189027	+	0.581766i
$27$	3.35886	−	3.96460i	0.646414	−	0.762987i
$28$	−3.59108	−	2.60907i	−0.678650	−	0.493068i
$29$	5.46388	+	1.16138i	1.01462	+	0.215664i	0.685071	−	0.728476i	$-0.259771\pi$
$29$	5.46388	+	1.16138i	1.01462	+	0.215664i	0.329546	+	0.944140i	$0.393104\pi$
$30$	−3.35214	+	1.82583i	−0.612013	+	0.333349i
$31$	−3.82544	+	0.813122i	−0.687069	+	0.146041i	−0.538202	−	0.842816i	$-0.680896\pi$
$31$	−3.82544	+	0.813122i	−0.687069	+	0.146041i	−0.148867	+	0.988857i	$0.547563\pi$
$32$	−0.500000	−	0.866025i	−0.0883883	−	0.153093i
$33$	−0.130874	+	5.26504i	−0.0227822	+	0.916525i
$34$	0.165281	+	1.57254i	0.0283454	+	0.269689i
$35$	−7.91409	−	5.74992i	−1.33772	−	0.971914i
$36$	2.33644	+	1.88176i	0.389407	+	0.313627i
$37$	−0.216842	−	0.667371i	−0.0356486	−	0.109715i	0.931649	−	0.363360i	$-0.118371\pi$
$37$	−0.216842	−	0.667371i	−0.0356486	−	0.109715i	−0.967297	+	0.253645i	$0.918371\pi$
$38$	1.60171	−	2.77424i	0.259832	−	0.450042i
$39$	4.10338	−	3.51405i	0.657067	−	0.562699i
$40$	−1.10191	−	1.90856i	−0.174227	−	0.301770i
$41$	−6.06944	−	2.04008i	−0.947887	−	0.318607i
$41$	−6.06944	−	2.04008i	−0.947887	−	0.318607i
$42$	−1.78486	+	7.47820i	−0.275410	+	1.15391i
$43$	2.64081	−	1.17577i	0.402720	−	0.179303i	−0.195373	−	0.980729i	$-0.562592\pi$
$43$	2.64081	−	1.17577i	0.402720	−	0.179303i	0.598093	+	0.801426i	$0.295925\pi$
$44$	−3.04071			−0.458404
$45$	5.14910	+	4.14706i	0.767583	+	0.618208i
$46$	0.648013	+	1.99438i	0.0955443	+	0.294055i
$47$	1.15462	−	0.514069i	0.168418	−	0.0749847i	−0.320796	−	0.947148i	$-0.603950\pi$
$47$	1.15462	−	0.514069i	0.168418	−	0.0749847i	0.489214	+	0.872164i	$0.337284\pi$
$48$	−1.05258	+	1.37553i	−0.151927	+	0.198540i
$49$	−12.4255	+	2.64112i	−1.77507	+	0.377303i
$50$	0.0715901	+	0.123998i	0.0101244	+	0.0175359i
$51$	2.40510	−	1.31000i	0.336781	−	0.183437i
$52$	2.08708	+	2.31794i	0.289426	+	0.321441i
$53$	−2.34430	−	7.21500i	−0.322014	−	0.991057i	−0.972771	−	0.231770i	$-0.925548\pi$
$53$	−2.34430	−	7.21500i	−0.322014	−	0.991057i	0.650757	−	0.759286i	$-0.274452\pi$
$54$	1.45593	−	4.98801i	0.198127	−	0.678783i
$55$	−6.70117			−0.903586
$56$	−4.34182	−	0.922882i	−0.580200	−	0.123325i
$57$	−5.50198	−	0.716918i	−0.728755	−	0.0949580i
$58$	5.46388	−	1.16138i	0.717443	−	0.152497i
$59$	−0.232223	+	2.20946i	−0.0302329	+	0.287647i	0.968951	+	0.247253i	$0.0795279\pi$
$59$	−0.232223	+	2.20946i	−0.0302329	+	0.287647i	−0.999184	+	0.0403938i	$0.987139\pi$
$60$	−2.31970	+	3.03141i	−0.299472	+	0.391354i
$61$	−1.08975	−	10.3683i	−0.139528	−	1.32752i	−0.810370	−	0.585918i	$-0.800734\pi$
$61$	−1.08975	−	10.3683i	−0.139528	−	1.32752i	0.670842	−	0.741600i	$-0.265933\pi$
$62$	−3.16399	+	2.29877i	−0.401827	+	0.291944i
$63$	13.1469	−	2.11808i	1.65636	−	0.266852i
$64$	−0.809017	−	0.587785i	−0.101127	−	0.0734732i
$65$	4.59955	+	5.10832i	0.570505	+	0.633609i
$66$	2.02192	+	4.86308i	0.248882	+	0.598604i
$67$	5.11537	−	5.68119i	0.624942	−	0.694068i	−0.344668	−	0.938725i	$-0.612009\pi$
$67$	5.11537	−	5.68119i	0.624942	−	0.694068i	0.969610	+	0.244656i	$0.0786752\pi$
$68$	0.790602	+	1.36936i	0.0958745	+	0.166060i
$69$	2.75876	−	2.36255i	0.332116	−	0.284417i
$70$	−9.56858	−	2.03386i	−1.14366	−	0.243093i
$71$	−1.94727	+	5.99309i	−0.231099	+	0.711249i	0.766516	+	0.642225i	$0.221988\pi$
$71$	−1.94727	+	5.99309i	−0.231099	+	0.711249i	−0.997615	+	0.0690238i	$0.978012\pi$
$72$	2.89983	+	0.768758i	0.341748	+	0.0905990i
$73$	13.0090			1.52259			0.761295	−	0.648406i	$-0.224564\pi$
$73$	13.0090			1.52259			0.761295	+	0.648406i	$0.224564\pi$
$74$	−0.469539	−	0.521476i	−0.0545828	−	0.0606204i
$75$	0.150709	−	0.196948i	0.0174023	−	0.0227416i
$76$	0.334849	−	3.18587i	0.0384098	−	0.365445i
$77$	−9.03135	+	10.0303i	−1.02922	+	1.14306i
$78$	2.31933	−	4.87924i	0.262612	−	0.552465i
$79$	7.61133	−	13.1832i	0.856341	−	1.48323i	−0.0190538	−	0.999818i	$-0.506065\pi$
$79$	7.61133	−	13.1832i	0.856341	−	1.48323i	0.875395	−	0.483408i	$-0.160601\pi$
$80$	−1.78293	−	1.29537i	−0.199337	−	0.144827i
$81$	−8.94557	+	0.988287i	−0.993953	+	0.109810i
$82$	−6.37448	+	0.604955i	−0.703944	+	0.0668061i
$83$	−7.22335	+	12.5112i	−0.792866	+	1.37328i	0.131320	+	0.991340i	$0.458079\pi$
$83$	−7.22335	+	12.5112i	−0.792866	+	1.37328i	−0.924186	+	0.381944i	$0.875255\pi$
$84$	1.41111	+	7.55765i	0.153965	+	0.824607i
$85$	1.74234	+	3.01783i	0.188984	+	0.327329i
$86$	1.93428	−	2.14823i	0.208578	−	0.231650i
$87$	−5.49065	−	7.96626i	−0.588659	−	0.854072i
$88$	−2.77783	+	1.23677i	−0.296117	+	0.131840i
$89$	7.81762	−	5.67983i	0.828666	−	0.602061i	−0.0905155	−	0.995895i	$-0.528851\pi$
$89$	7.81762	−	5.67983i	0.828666	−	0.602061i	0.919182	+	0.393834i	$0.128851\pi$
$90$	6.39070	+	1.69420i	0.673639	+	0.178585i
$91$	13.8451			1.45136
$92$	1.40318	+	1.55838i	0.146291	+	0.162473i
$93$	5.78038	+	3.53167i	0.599397	+	0.366217i
$94$	0.845705	−	0.939251i	0.0872279	−	0.0968763i
$95$	0.737946	−	7.02109i	0.0757117	−	0.720349i
$96$	−0.402102	+	1.68473i	−0.0410394	+	0.171947i
$97$	3.49168	+	0.742180i	0.354527	+	0.0753570i	0.381732	−	0.924273i	$-0.375328\pi$
$97$	3.49168	+	0.742180i	0.354527	+	0.0753570i	−0.0272057	+	0.999630i	$0.508661\pi$
$98$	−10.2770	+	7.46669i	−1.03814	+	0.754249i
$99$	6.43316	−	6.46743i	0.646557	−	0.650001i
$100$	0.115835	+	0.0841592i	0.0115835	+	0.00841592i
$101$	0.815079	+	7.75496i	0.0811034	+	0.771647i	0.957184	+	0.289482i	$0.0934829\pi$
$101$	0.815079	+	7.75496i	0.0811034	+	0.771647i	−0.876080	+	0.482165i	$0.839850\pi$
$102$	1.66434	−	2.17499i	0.164795	−	0.215356i
$103$	9.84140	+	4.38167i	0.969702	+	0.431739i	0.829575	−	0.558395i	$-0.188583\pi$
$103$	9.84140	+	4.38167i	0.969702	+	0.431739i	0.140126	+	0.990134i	$0.455249\pi$
$104$	2.84944	+	1.26865i	0.279410	+	0.124401i
$105$	3.10983	+	16.6557i	0.303489	+	1.62543i
$106$	−5.07623	−	5.63772i	−0.493047	−	0.547584i
$107$	4.11140	−	2.98711i	0.397464	−	0.288774i	−0.371043	−	0.928616i	$-0.621000\pi$
$107$	4.11140	−	2.98711i	0.397464	−	0.288774i	0.768507	+	0.639841i	$0.221000\pi$
$108$	−0.698752	−	5.14896i	−0.0672374	−	0.495459i
$109$	−8.47413			−0.811675			−0.405837	−	0.913945i	$-0.633020\pi$
$109$	−8.47413			−0.811675			−0.405837	+	0.913945i	$0.633020\pi$
$110$	−6.12183	+	2.72561i	−0.583693	+	0.259877i
$111$	−0.521789	+	1.09770i	−0.0495260	+	0.104189i
$112$	−4.34182	+	0.922882i	−0.410263	+	0.0872041i
$113$	−1.38122	+	0.293588i	−0.129934	+	0.0276184i	−0.272420	−	0.962179i	$-0.587824\pi$
$113$	−1.38122	+	0.293588i	−0.129934	+	0.0276184i	0.142485	+	0.989797i	$0.454491\pi$
$114$	−5.31790	+	1.58292i	−0.498067	+	0.148254i
$115$	3.09235	+	3.43440i	0.288363	+	0.320259i
$116$	4.51913	−	3.28334i	0.419590	−	0.304850i
$117$	−9.34573	−	0.464903i	−0.864013	−	0.0429803i
$118$	0.686521	+	2.11289i	0.0631994	+	0.194508i
$119$	6.86530	+	1.45926i	0.629341	+	0.133770i
$120$	−0.886161	+	3.71284i	−0.0808951	+	0.338934i
$121$	0.183353	−	1.74448i	0.0166684	−	0.158589i
$122$	−5.21268	−	9.02863i	−0.471934	−	0.817414i
$123$	5.20624	+	9.79260i	0.469431	+	0.882969i
$124$	−1.95545	+	3.38694i	−0.175605	+	0.304156i
$125$	9.16992	+	6.66233i	0.820182	+	0.595897i
$126$	11.1488	−	7.28229i	0.993215	−	0.648758i
$127$	3.37037	+	10.3729i	0.299072	+	0.920449i	0.981823	+	0.189798i	$0.0607833\pi$
$127$	3.37037	+	10.3729i	0.299072	+	0.920449i	−0.682751	+	0.730651i	$0.739217\pi$
$128$	−0.978148	−	0.207912i	−0.0864569	−	0.0183770i
$129$	−4.72192	−	1.66506i	−0.415742	−	0.146601i
$130$	6.27964	+	2.79588i	0.550761	+	0.245215i
$131$	−15.2648	+	3.24464i	−1.33369	+	0.283485i	−0.818953	−	0.573861i	$-0.805445\pi$
$131$	−15.2648	+	3.24464i	−1.33369	+	0.283485i	−0.514741	+	0.857346i	$0.672112\pi$
$132$	3.82511	+	3.62025i	0.332933	+	0.315103i
$133$	−9.51464	−	10.5671i	−0.825024	−	0.916282i
$134$	2.36237	−	7.27064i	0.204078	−	0.628087i
$135$	−1.53992	−	11.3474i	−0.132535	−	0.976626i
$136$	1.27922	+	0.929408i	0.109692	+	0.0796961i
$137$	8.29483	−	14.3671i	0.708675	−	1.22746i	−0.256674	−	0.966498i	$-0.582627\pi$
$137$	8.29483	−	14.3671i	0.708675	−	1.22746i	0.965349	−	0.260963i	$-0.0840400\pi$
$138$	1.55932	−	3.28038i	0.132738	−	0.279245i
$139$	6.95445	+	3.09632i	0.589868	+	0.262626i	0.679891	−	0.733313i	$-0.262027\pi$
$139$	6.95445	+	3.09632i	0.589868	+	0.262626i	−0.0900223	+	0.995940i	$0.528694\pi$
$140$	−9.56858	+	2.03386i	−0.808693	+	0.171893i
$141$	−2.06452	−	0.728001i	−0.173864	−	0.0613088i
$142$	0.658687	+	6.26698i	0.0552758	+	0.525914i
$143$	7.67293	−	5.57471i	0.641643	−	0.466181i
$144$	2.96181	−	0.477171i	0.246817	−	0.0397643i
$145$	9.95934	−	7.23588i	0.827078	−	0.600907i
$146$	11.8843	−	5.29124i	0.983554	−	0.437906i
$147$	18.7754	+	11.4713i	1.54857	+	0.946137i
$148$	−0.641049	−	0.285413i	−0.0526939	−	0.0234608i
$149$	−5.45283	+	6.05598i	−0.446713	+	0.496125i	−0.923877	−	0.382689i	$-0.874998\pi$
$149$	−5.45283	+	6.05598i	−0.446713	+	0.496125i	0.477164	+	0.878814i	$0.341665\pi$
$150$	0.0575731	−	0.241220i	0.00470082	−	0.0196955i
$151$	11.0663	−	4.92704i	0.900565	−	0.400957i	0.0963853	−	0.995344i	$-0.469272\pi$
$151$	11.0663	−	4.92704i	0.900565	−	0.400957i	0.804179	+	0.594387i	$0.202605\pi$
$152$	−0.989912	−	3.04664i	−0.0802924	−	0.247115i
$153$	−4.58522	−	1.21556i	−0.370693	−	0.0982724i
$154$	−4.17085	+	12.8365i	−0.336096	+	1.03440i
$155$	−4.30946	+	7.46420i	−0.346144	+	0.599539i
$156$	0.134247	−	5.40077i	0.0107484	−	0.432407i
$157$	17.8195	+	7.93375i	1.42215	+	0.633182i	0.966427	−	0.256939i	$-0.0827141\pi$
$157$	17.8195	+	7.93375i	1.42215	+	0.633182i	0.455723	+	0.890122i	$0.349381\pi$
$158$	1.59120	−	15.1393i	0.126589	−	1.20442i
$159$	−5.64110	+	11.8673i	−0.447368	+	0.941142i
$160$	−2.15566	−	0.458200i	−0.170420	−	0.0362239i
$161$	9.30826			0.733594
$162$	−7.77022	+	4.54134i	−0.610486	+	0.356801i
$163$	22.3643			1.75171			0.875853	−	0.482578i	$-0.160300\pi$
$163$	22.3643			1.75171			0.875853	+	0.482578i	$0.160300\pi$
$164$	−5.57732	+	3.14539i	−0.435516	+	0.245614i
$165$	8.42986	+	7.97839i	0.656263	+	0.621117i
$166$	−1.51009	+	14.3676i	−0.117206	+	1.11514i
$167$	−6.63738	−	11.4963i	−0.513616	−	0.889609i	−0.999875	−	0.0157942i	$-0.994972\pi$
$167$	−6.63738	−	11.4963i	−0.513616	−	0.889609i	0.486259	−	0.873814i	$-0.338361\pi$
$168$	4.36309	+	6.33030i	0.336619	+	0.488394i
$169$	3.19975	+	0.680128i	0.246135	+	0.0523175i
$170$	2.81917	+	2.04825i	0.216220	+	0.157093i
$171$	6.06775	+	7.45249i	0.464012	+	0.569906i
$172$	0.893284	−	2.74925i	0.0681123	−	0.209628i
$173$	0.228773	−	0.396246i	0.0173933	−	0.0301260i	−0.857198	−	0.514987i	$-0.827797\pi$
$173$	0.228773	−	0.396246i	0.0173933	−	0.0301260i	0.874591	+	0.484861i	$0.161130\pi$
$174$	−8.25612	−	5.04429i	−0.625895	−	0.382407i
$175$	0.621662	−	0.132138i	0.0469932	−	0.00998872i
$176$	−2.03463	+	2.25969i	−0.153366	+	0.170330i
$177$	2.92270	−	2.50294i	0.219684	−	0.188133i
$178$	4.83156	−	8.36850i	0.362140	−	0.627246i
$179$	0.994515	+	3.06080i	0.0743336	+	0.228775i	0.981319	−	0.192386i	$-0.0616226\pi$
$179$	0.994515	+	3.06080i	0.0743336	+	0.228775i	−0.906986	+	0.421161i	$0.861623\pi$
$180$	6.52729	−	1.05160i	0.486515	−	0.0783816i
$181$	5.17041	−	15.9129i	0.384313	−	1.18279i	−0.552664	−	0.833404i	$-0.686389\pi$
$181$	5.17041	−	15.9129i	0.384313	−	1.18279i	0.936977	−	0.349390i	$-0.113611\pi$
$182$	12.6481	−	5.63131i	0.937541	−	0.417420i
$183$	−10.9735	+	14.3404i	−0.811187	+	1.06007i
$184$	1.91572	+	0.852932i	0.141229	+	0.0628790i
$185$	−1.41276	−	0.628999i	−0.103868	−	0.0462450i
$186$	6.71710	+	0.875250i	0.492521	+	0.0641764i
$187$	4.39231	−	1.95558i	0.321197	−	0.143006i
$188$	0.390563	−	1.20203i	0.0284847	−	0.0876669i
$189$	−19.0602	−	12.9882i	−1.38642	−	0.944752i
$190$	−2.18159	−	6.71423i	−0.158269	−	0.487102i
$191$	−7.46833	+	12.9355i	−0.540389	+	0.935982i	0.458492	+	0.888698i	$0.348390\pi$
$191$	−7.46833	+	12.9355i	−0.540389	+	0.935982i	−0.998882	+	0.0472834i	$0.984944\pi$
$192$	0.317902	+	1.70263i	0.0229426	+	0.122877i
$193$	4.40653	−	4.89395i	0.317189	−	0.352274i	−0.563375	−	0.826201i	$-0.690497\pi$
$193$	4.40653	−	4.89395i	0.317189	−	0.352274i	0.880564	+	0.473927i	$0.157164\pi$
$194$	3.49168	−	0.742180i	0.250688	−	0.0532854i
$195$	0.295857	−	11.9023i	0.0211868	−	0.852342i
$196$	−6.35154	+	11.0012i	−0.453682	+	0.785800i
$197$	−5.56242	+	17.1194i	−0.396306	+	1.21970i	0.531634	+	0.846974i	$0.321578\pi$
$197$	−5.56242	+	17.1194i	−0.396306	+	1.21970i	−0.927940	+	0.372730i	$0.878422\pi$
$198$	3.24645	−	8.52489i	0.230715	−	0.605838i
$199$	−20.8583	−	15.1545i	−1.47861	−	1.07427i	−0.978002	−	0.208597i	$-0.933110\pi$
$199$	−20.8583	−	15.1545i	−1.47861	−	1.07427i	−0.500607	−	0.865675i	$-0.666890\pi$
$200$	0.140051	+	0.0297688i	0.00990312	+	0.00210497i
$201$	−13.1990	+	1.05642i	−0.930984	+	0.0745141i
$202$	3.89884	+	6.75298i	0.274321	+	0.475138i
$203$	2.59178	−	24.6592i	0.181907	−	1.73073i
$204$	0.635806	−	2.66390i	0.0445153	−	0.186510i
$205$	−12.2914	+	6.93187i	−0.858469	+	0.484143i
$206$	10.7727			0.750573
$207$	−6.28327	−	0.312561i	−0.436718	−	0.0217245i
$208$	3.11910			0.216270
$209$	−9.52781	−	2.02520i	−0.659053	−	0.140086i
$210$	9.61545	+	13.9508i	0.663529	+	0.962700i
$211$	1.77345	−	16.8733i	0.122090	−	1.16161i	−0.746261	−	0.665654i	$-0.768153\pi$
$211$	1.77345	−	16.8733i	0.122090	−	1.16161i	0.868350	−	0.495952i	$-0.165181\pi$
$212$	−6.93043	−	3.08563i	−0.475984	−	0.211922i
$213$	9.58495	−	5.22069i	0.656750	−	0.357716i
$214$	2.54098	−	4.40111i	0.173698	−	0.300854i
$215$	1.96864	−	6.05884i	0.134260	−	0.413210i
$216$	−2.73261	−	4.41960i	−0.185931	−	0.300715i
$217$	5.36446	+	16.5101i	0.364164	+	1.12078i
$218$	−7.74151	+	3.44674i	−0.524321	+	0.233443i
$219$	−16.3649	−	15.4885i	−1.10584	−	1.04661i
$220$	−4.48396	+	4.97994i	−0.302308	+	0.335748i
$221$	−4.50554	−	2.00599i	−0.303075	−	0.134938i
$222$	−0.0302022	+	1.21503i	−0.00202704	+	0.0815476i
$223$	−25.5070	+	11.3564i	−1.70807	+	0.760483i	−0.709637	+	0.704567i	$0.751141\pi$
$223$	−25.5070	+	11.3564i	−1.70807	+	0.760483i	−0.998435	+	0.0559157i	$0.982192\pi$
$224$	−3.59108	+	2.60907i	−0.239939	+	0.174326i
$225$	−0.424072	+	0.0683214i	−0.0282715	+	0.00455476i
$226$	−1.14240	+	0.829999i	−0.0759910	+	0.0552107i
$227$	2.92367	+	27.8169i	0.194051	+	1.84627i	0.467018	+	0.884248i	$0.345328\pi$
$227$	2.92367	+	27.8169i	0.194051	+	1.84627i	−0.272967	+	0.962023i	$0.588005\pi$
$228$	−4.21432	+	3.60906i	−0.279100	+	0.239016i
$229$	−10.0681	+	2.14004i	−0.665319	+	0.141418i	−0.528178	−	0.849134i	$-0.677125\pi$
$229$	−10.0681	+	2.14004i	−0.665319	+	0.141418i	−0.137141	+	0.990552i	$0.543791\pi$
$230$	4.22190	+	1.87971i	0.278384	+	0.123944i
$231$	23.3032	−	1.86514i	1.53324	−	0.122717i
$232$	2.79297	−	4.83757i	0.183368	−	0.317602i
$233$	0.889121	+	0.645984i	0.0582482	+	0.0423198i	0.616528	−	0.787333i	$-0.288539\pi$
$233$	0.889121	+	0.645984i	0.0582482	+	0.0423198i	−0.558280	+	0.829653i	$0.688539\pi$
$234$	−8.72685	+	3.37654i	−0.570492	+	0.220731i
$235$	0.860729	−	2.64905i	0.0561478	−	0.172805i
$236$	1.48656	+	1.65099i	0.0967668	+	0.107470i
$237$	−25.2707	+	7.52203i	−1.64151	+	0.488608i
$238$	6.86530	−	1.45926i	0.445011	−	0.0945900i
$239$	6.05664	+	2.69659i	0.391771	+	0.174428i	0.593162	−	0.805083i	$-0.297879\pi$
$239$	6.05664	+	2.69659i	0.391771	+	0.174428i	−0.201391	+	0.979511i	$0.564546\pi$
$240$	0.700600	+	3.75228i	0.0452235	+	0.242209i
$241$	−17.9136	−	3.80766i	−1.15392	−	0.245273i	−0.409067	−	0.912504i	$-0.634146\pi$
$241$	−17.9136	−	3.80766i	−1.15392	−	0.245273i	−0.744850	+	0.667231i	$0.767479\pi$
$242$	−0.542044	−	1.66824i	−0.0348439	−	0.107239i
$243$	12.4299	+	9.40733i	0.797378	+	0.603480i
$244$	−8.43430	−	6.12787i	−0.539950	−	0.392297i
$245$	−13.9977	+	24.2447i	−0.894278	+	1.54893i
$246$	8.73915	+	6.82842i	0.557188	+	0.435364i
$247$	4.99589	+	8.65314i	0.317881	+	0.550586i
$248$	−0.408800	+	3.88948i	−0.0259589	+	0.246982i
$249$	23.9825	−	7.13861i	1.51983	−	0.452391i
$250$	11.0870	+	2.35660i	0.701200	+	0.149045i
$251$	−7.70940	−	23.7271i	−0.486613	−	1.49764i	−0.829631	−	0.558312i	$-0.811449\pi$
$251$	−7.70940	−	23.7271i	−0.486613	−	1.49764i	0.343018	−	0.939329i	$-0.388551\pi$
$252$	7.22297	−	11.1873i	0.455004	−	0.704736i
$253$	5.15862	−	3.74796i	0.324320	−	0.235632i
$254$	7.29804	+	8.10529i	0.457920	+	0.508571i
$255$	1.40120	−	5.87075i	0.0877466	−	0.367641i
$256$	−0.978148	+	0.207912i	−0.0611342	+	0.0129945i
$257$	0.889039	−	0.188971i	0.0554567	−	0.0117877i	−0.180100	−	0.983648i	$-0.557642\pi$
$257$	0.889039	−	0.188971i	0.0554567	−	0.0117877i	0.235556	+	0.971861i	$0.424309\pi$
$258$	−4.99093	+	0.399464i	−0.310722	+	0.0248695i
$259$	−2.84550	+	1.26690i	−0.176811	+	0.0787212i
$260$	6.87393			0.426303
$261$	−2.57754	+	16.5584i	−0.159545	+	1.02494i
$262$	−12.6254	+	9.17289i	−0.779999	+	0.566703i
$263$	−18.0634	−	20.0614i	−1.11383	−	1.23704i	−0.968861	−	0.247604i	$-0.920357\pi$
$263$	−18.0634	−	20.0614i	−1.11383	−	1.23704i	−0.144974	−	0.989436i	$-0.546310\pi$
$264$	4.96690	+	1.75145i	0.305692	+	0.107795i
$265$	−15.2734	−	6.80016i	−0.938239	−	0.417731i
$266$	−12.9901	−	5.78355i	−0.796472	−	0.354612i
$267$	−16.5967	−	2.16258i	−1.01570	−	0.132348i
$268$	−0.799099	−	7.60292i	−0.0488127	−	0.464422i
$269$	10.5757	+	7.68368i	0.644810	+	0.468482i	0.861499	−	0.507759i	$-0.169526\pi$
$269$	10.5757	+	7.68368i	0.644810	+	0.468482i	−0.216689	+	0.976241i	$0.569526\pi$
$270$	−6.02218	−	9.73999i	−0.366498	−	0.592757i
$271$	−8.17450	+	5.93912i	−0.496565	+	0.360776i	−0.807704	−	0.589589i	$-0.799290\pi$
$271$	−8.17450	+	5.93912i	−0.496565	+	0.360776i	0.311138	+	0.950365i	$0.399290\pi$
$272$	1.54665	+	0.328751i	0.0937794	+	0.0199334i
$273$	−17.4167	−	16.4839i	−1.05411	−	0.997652i
$274$	1.73409	−	16.4988i	0.104760	−	0.996727i
$275$	0.291319	−	0.323542i	0.0175672	−	0.0195103i
$276$	0.0902565	−	3.63101i	0.00543280	−	0.218561i
$277$	14.6954	+	16.3209i	0.882963	+	0.980630i	0.999922	−	0.0125066i	$-0.00398108\pi$
$277$	14.6954	+	16.3209i	0.882963	+	0.980630i	−0.116958	+	0.993137i	$0.537314\pi$
$278$	7.61259			0.456573
$279$	−3.06673	−	11.3248i	−0.183601	−	0.677999i
$280$	−7.91409	+	5.74992i	−0.472957	+	0.343623i
$281$	−12.9733	+	5.77609i	−0.773922	+	0.344572i	−0.755407	−	0.655256i	$-0.772561\pi$
$281$	−12.9733	+	5.77609i	−0.773922	+	0.344572i	−0.0185156	+	0.999829i	$0.505894\pi$
$282$	−2.18214	+	0.174654i	−0.129944	+	0.0104005i
$283$	19.3310	−	21.4693i	1.14911	−	1.27622i	0.193659	−	0.981069i	$-0.437964\pi$
$283$	19.3310	−	21.4693i	1.14911	−	1.27622i	0.955452	−	0.295148i	$-0.0953689\pi$
$284$	3.15075	+	5.45726i	0.186963	+	0.323829i
$285$	−9.28759	+	7.95371i	−0.550149	+	0.471137i
$286$	4.74213	−	8.21361i	0.280408	−	0.485681i
$287$	−6.18983	+	27.7401i	−0.365374	+	1.63745i
$288$	2.51166	−	1.64059i	0.148001	−	0.0966729i
$289$	11.7306	+	8.52277i	0.690034	+	0.501339i
$290$	6.15521	−	10.6611i	0.361446	−	0.626043i
$291$	−3.50879	−	5.09082i	−0.205689	−	0.298429i
$292$	8.70473	−	9.66758i	0.509406	−	0.565752i
$293$	−2.04679	+	19.4739i	−0.119575	+	1.13768i	0.755992	+	0.654581i	$0.227155\pi$
$293$	−2.04679	+	19.4739i	−0.119575	+	1.13768i	−0.875567	+	0.483098i	$0.839512\pi$
$294$	21.8180	+	2.84292i	1.27245	+	0.165802i
$295$	3.27611	+	3.63849i	0.190742	+	0.211841i
$296$	−0.701715			−0.0407864
$297$	−15.7928	+	0.476515i	−0.916391	+	0.0276502i
$298$	−2.51822	+	7.75028i	−0.145877	+	0.448962i
$299$	−6.39786	−	1.35991i	−0.369998	−	0.0786454i
$300$	−0.0455173	−	0.243782i	−0.00262794	−	0.0140748i
$301$	−6.41571	−	11.1123i	−0.369795	−	0.640504i
$302$	8.10558	−	9.00216i	0.466424	−	0.518016i
$303$	8.20767	−	10.7259i	0.471519	−	0.616187i
$304$	−2.14351	−	2.38061i	−0.122939	−	0.136537i
$305$	−18.5877	−	13.5047i	−1.06433	−	0.773279i
$306$	−4.68322	+	0.754505i	−0.267722	+	0.0431322i
$307$	−13.4741	+	9.78953i	−0.769009	+	0.558718i	−0.901660	−	0.432445i	$-0.857651\pi$
$307$	−13.4741	+	9.78953i	−0.769009	+	0.558718i	0.132651	+	0.991163i	$0.457651\pi$
$308$	1.41084	+	13.4232i	0.0803898	+	0.764858i
$309$	−7.16336	−	17.2291i	−0.407509	−	0.980131i
$310$	−0.900922	+	8.57170i	−0.0511690	+	0.486840i
$311$	−28.6842	+	6.09702i	−1.62653	+	0.345730i	−0.928787	−	0.370614i	$-0.879147\pi$
$311$	−28.6842	+	6.09702i	−1.62653	+	0.345730i	−0.697747	+	0.716345i	$0.745814\pi$
$312$	−2.07405	−	4.98845i	−0.117420	−	0.282415i
$313$	24.0000	+	5.10136i	1.35656	+	0.288346i	0.828085	−	0.560603i	$-0.189431\pi$
$313$	24.0000	+	5.10136i	1.35656	+	0.288346i	0.528476	+	0.848949i	$0.322764\pi$
$314$	19.5059			1.10078
$315$	15.9181	−	24.6549i	0.896885	−	1.38914i
$316$	−4.70406	−	14.4776i	−0.264624	−	0.814429i
$317$	12.4692	+	13.8485i	0.700340	+	0.777806i	0.983430	−	0.181287i	$-0.0580262\pi$
$317$	12.4692	+	13.8485i	0.700340	+	0.777806i	−0.283090	+	0.959093i	$0.591360\pi$
$318$	−0.326518	+	13.1358i	−0.0183102	+	0.736619i
$319$	−8.49262	−	14.7096i	−0.475495	−	0.823582i
$320$	−2.15566	+	0.458200i	−0.120505	+	0.0256141i
$321$	−8.72844	−	1.13733i	−0.487174	−	0.0634796i
$322$	8.50352	−	3.78601i	0.473883	−	0.210986i
$323$	1.56525	+	4.81735i	0.0870929	+	0.268044i
$324$	−5.25132	+	7.30915i	−0.291740	+	0.406064i
$325$	−0.446593			−0.0247725
$326$	20.4308	−	9.09637i	1.13156	−	0.503801i
$327$	10.6602	+	10.0893i	0.589510	+	0.557938i
$328$	−3.81579	+	5.14196i	−0.210692	+	0.283917i
$329$	−2.80508	−	4.85854i	−0.154649	−	0.267860i
$330$	10.9462	+	3.85989i	0.602566	+	0.212480i
$331$	1.32328	−	2.29198i	0.0727339	−	0.125979i	−0.827365	−	0.561665i	$-0.810161\pi$
$331$	1.32328	−	2.29198i	0.0727339	−	0.125979i	0.900099	+	0.435686i	$0.143494\pi$
$332$	4.46428	+	13.7396i	0.245009	+	0.754060i
$333$	1.96331	−	0.759634i	0.107589	−	0.0416277i
$334$	−10.7395	−	7.80271i	−0.587640	−	0.426945i
$335$	−1.76107	−	16.7555i	−0.0962175	−	0.915449i
$336$	6.56064	+	4.00839i	0.357912	+	0.218676i
$337$	0.468280	+	0.811084i	0.0255088	+	0.0441826i	0.878498	−	0.477746i	$-0.158546\pi$
$337$	0.468280	+	0.811084i	0.0255088	+	0.0441826i	−0.852989	+	0.521929i	$0.825213\pi$
$338$	3.19975	−	0.680128i	0.174043	−	0.0369941i
$339$	2.08708	+	1.27515i	0.113354	+	0.0692568i
$340$	3.40854	+	0.724507i	0.184854	+	0.0392919i
$341$	9.62076	+	6.98989i	0.520993	+	0.378524i
$342$	8.57437	+	4.34021i	0.463649	+	0.234692i
$343$	7.82276	+	24.0760i	0.422389	+	1.29998i
$344$	−0.302163	−	2.87489i	−0.0162916	−	0.155004i
$345$	0.198909	−	8.00210i	0.0107089	−	0.430818i
$346$	0.0478266	−	0.455039i	0.00257117	−	0.0244631i
$347$	32.9849	+	14.6858i	1.77072	+	0.788377i	0.985612	+	0.169024i	$0.0540616\pi$
$347$	32.9849	+	14.6858i	1.77072	+	0.788377i	0.785113	+	0.619353i	$0.212605\pi$
$348$	−9.59404	−	1.25012i	−0.514295	−	0.0670135i
$349$	−0.0298354	−	0.283865i	−0.00159705	−	0.0151949i	0.993694	−	0.112123i	$-0.0357650\pi$
$349$	−0.0298354	−	0.283865i	−0.00159705	−	0.0151949i	−0.995291	+	0.0969279i	$0.969098\pi$
$350$	0.514171	−	0.373567i	0.0274836	−	0.0199680i
$351$	11.2031	+	11.7118i	0.597978	+	0.625131i
$352$	−0.939631	+	2.89189i	−0.0500825	+	0.154138i
$353$	−0.389957	−	3.71019i	−0.0207553	−	0.197474i	0.979231	−	0.202749i	$-0.0649875\pi$
$353$	−0.389957	−	3.71019i	−0.0207553	−	0.197474i	−0.999986	+	0.00527528i	$0.998321\pi$
$354$	1.65198	−	3.47532i	0.0878018	−	0.184711i
$355$	6.94369	+	12.0268i	0.368533	+	0.638317i
$356$	1.01007	−	9.61017i	0.0535336	−	0.509338i
$357$	−6.89893	−	10.0095i	−0.365130	−	0.529759i
$358$	2.15348	+	2.39168i	0.113815	+	0.126404i
$359$	8.79728	−	27.0752i	0.464303	−	1.42898i	−0.395555	−	0.918442i	$-0.629448\pi$
$359$	8.79728	−	27.0752i	0.464303	−	1.42898i	0.859857	−	0.510534i	$-0.170552\pi$
$360$	5.53525	−	3.61557i	0.291733	−	0.190557i
$361$	−2.70022	+	8.31042i	−0.142117	+	0.437390i
$362$	−1.74895	−	16.6401i	−0.0919226	−	0.874586i
$363$	−2.30762	+	1.97620i	−0.121119	+	0.103724i
$364$	9.26418	−	10.2889i	0.485575	−	0.539286i
$365$	19.1837	−	21.3056i	1.00412	−	1.11519i
$366$	−4.19206	+	17.5639i	−0.219123	+	0.918081i
$367$	−20.4818	+	9.11909i	−1.06914	+	0.476013i	−0.864401	−	0.502804i	$-0.832302\pi$
$367$	−20.4818	+	9.11909i	−1.06914	+	0.476013i	−0.204741	+	0.978816i	$0.565635\pi$
$368$	2.09701			0.109314
$369$	5.10975	−	18.5173i	0.266003	−	0.963972i
$370$	−1.54645			−0.0803963
$371$	−30.7629	+	13.6965i	−1.59713	+	0.711088i
$372$	6.49237	−	1.93251i	0.336614	−	0.100196i
$373$	7.59069	−	8.43032i	0.393031	−	0.436505i	−0.513858	−	0.857875i	$-0.671784\pi$
$373$	7.59069	−	8.43032i	0.393031	−	0.436505i	0.906889	+	0.421370i	$0.138451\pi$
$374$	3.21717	−	3.57302i	0.166356	−	0.184757i
$375$	−3.60331	−	19.2987i	−0.186074	−	0.996579i
$376$	−0.132112	−	1.25696i	−0.00681316	−	0.0648229i
$377$	−5.38404	+	16.5704i	−0.277292	+	0.853417i
$378$	−22.6951	−	4.11284i	−1.16731	−	0.211542i
$379$	−6.40935	+	19.7259i	−0.329226	+	1.01325i	0.640271	+	0.768149i	$0.278822\pi$
$379$	−6.40935	+	19.7259i	−0.329226	+	1.01325i	−0.969497	+	0.245104i	$0.921178\pi$
$380$	−4.72390	−	5.24643i	−0.242331	−	0.269136i
$381$	8.11015	−	17.0616i	0.415496	−	0.874090i
$382$	−1.56131	+	14.8548i	−0.0798834	+	0.760039i
$383$	−9.91824	−	17.1789i	−0.506799	−	0.877801i	−0.999969	−	0.00786820i	$-0.997495\pi$
$383$	−9.91824	−	17.1789i	−0.506799	−	0.877801i	0.493170	−	0.869933i	$-0.335838\pi$
$384$	0.982939	+	1.42612i	0.0501604	+	0.0727766i
$385$	3.10923	+	29.5823i	0.158461	+	1.50765i
$386$	2.03502	−	6.26314i	0.103580	−	0.318785i
$387$	3.95760	+	7.71649i	0.201176	+	0.392251i
$388$	2.88794	−	2.09821i	0.146613	−	0.106521i
$389$	1.12303	+	10.6849i	0.0569399	+	0.541747i	0.985393	+	0.170297i	$0.0544727\pi$
$389$	1.12303	+	10.6849i	0.0569399	+	0.541747i	−0.928453	+	0.371450i	$0.878861\pi$
$390$	−4.57083	−	10.9936i	−0.231453	−	0.556685i
$391$	−3.02914	−	1.34866i	−0.153190	−	0.0682046i
$392$	−1.32783	+	12.6335i	−0.0670658	+	0.638088i
$393$	23.0657	+	14.0926i	1.16351	+	0.710877i
$394$	1.88155	+	17.9018i	0.0947912	+	0.901878i
$395$	−10.3669	−	31.9060i	−0.521615	−	1.60537i
$396$	−0.501607	−	9.10832i	−0.0252067	−	0.457711i
$397$	18.0366	+	13.1043i	0.905230	+	0.657688i	0.939804	−	0.341714i	$-0.111007\pi$
$397$	18.0366	+	13.1043i	0.905230	+	0.657688i	−0.0345740	+	0.999402i	$0.511007\pi$
$398$	−25.2189	−	5.36045i	−1.26411	−	0.268695i
$399$	−0.612010	+	24.6211i	−0.0306388	+	1.23260i
$400$	0.140051	−	0.0297688i	0.00700256	−	0.00148844i
$401$	0.498268	+	0.863026i	0.0248823	+	0.0430974i	0.878198	−	0.478296i	$-0.158746\pi$
$401$	0.498268	+	0.863026i	0.0248823	+	0.0430974i	−0.853316	+	0.521394i	$0.825412\pi$
$402$	−11.6282	+	6.33359i	−0.579961	+	0.315891i
$403$	−1.27509	−	12.1317i	−0.0635167	−	0.604321i
$404$	6.30845	+	4.58336i	0.313857	+	0.228031i
$405$	−11.5730	+	16.1080i	−0.575065	+	0.800415i
$406$	−7.66207	−	23.5814i	−0.380262	−	1.17033i
$407$	−1.06686	+	1.84785i	−0.0528821	+	0.0915945i
$408$	−0.502668	−	2.69220i	−0.0248858	−	0.133284i
$409$	2.17335	+	3.76435i	0.107465	+	0.186135i	0.914743	−	0.404037i	$-0.132393\pi$
$409$	2.17335	+	3.76435i	0.107465	+	0.186135i	−0.807278	+	0.590172i	$0.799060\pi$
$410$	−8.40932	+	11.3319i	−0.415307	+	0.559645i
$411$	−27.5400	+	8.19751i	−1.35845	+	0.404353i
$412$	9.84140	−	4.38167i	0.484851	−	0.215869i
$413$	9.86140			0.485248
$414$	−5.86718	+	2.27010i	−0.288356	+	0.111569i
$415$	9.83846	+	30.2797i	0.482951	+	1.48637i
$416$	2.84944	−	1.26865i	0.139705	−	0.0622007i
$417$	−5.06200	−	12.1750i	−0.247887	−	0.596212i
$418$	−9.52781	+	2.02520i	−0.466021	+	0.0990557i
$419$	0.690654	+	1.19625i	0.0337406	+	0.0584405i	0.882403	−	0.470495i	$-0.155925\pi$
$419$	0.690654	+	1.19625i	0.0337406	+	0.0584405i	−0.848662	+	0.528936i	$0.822591\pi$
$420$	14.4585	+	8.83378i	0.705501	+	0.431044i
$421$	13.4834	+	14.9749i	0.657142	+	0.729830i	0.975951	−	0.217989i	$-0.0699496\pi$
$421$	13.4834	+	14.9749i	0.657142	+	0.729830i	−0.318809	+	0.947819i	$0.603283\pi$
$422$	−5.24286	−	16.1359i	−0.255218	−	0.785481i
$423$	1.73034	+	3.37381i	0.0841322	+	0.164040i
$424$	−7.58630			−0.368423
$425$	−0.221450	−	0.0470705i	−0.0107419	−	0.00228326i
$426$	6.63284	−	8.66789i	0.321362	−	0.419961i
$427$	−45.2650	+	9.62138i	−2.19053	+	0.465611i
$428$	0.531210	−	5.05413i	0.0256770	−	0.244300i
$429$	−16.2895	−	2.12255i	−0.786466	−	0.102478i
$430$	−0.665914	−	6.33574i	−0.0321132	−	0.305537i
$431$	5.00085	−	3.63333i	0.240883	−	0.175011i	−0.460794	−	0.887507i	$-0.652435\pi$
$431$	5.00085	−	3.63333i	0.240883	−	0.175011i	0.701676	+	0.712496i	$0.252435\pi$
$432$	−4.29398	−	2.92605i	−0.206594	−	0.140780i
$433$	−32.6130	−	23.6947i	−1.56728	−	1.13870i	−0.929703	−	0.368311i	$-0.879936\pi$
$433$	−32.6130	−	23.6947i	−1.56728	−	1.13870i	−0.637579	−	0.770385i	$-0.720064\pi$
$434$	11.6160	+	12.9008i	0.557584	+	0.619259i
$435$	−21.1435	−	2.75504i	−1.01375	−	0.132094i
$436$	−5.67030	+	6.29751i	−0.271558	+	0.301596i
$437$	3.35881	+	5.81763i	0.160674	+	0.278295i
$438$	−21.2498	−	7.49322i	−1.01536	−	0.358040i
$439$	−29.9725	−	6.37084i	−1.43051	−	0.304064i	−0.573431	−	0.819254i	$-0.694388\pi$
$439$	−29.9725	−	6.37084i	−1.43051	−	0.304064i	−0.857076	+	0.515190i	$0.827721\pi$
$440$	−2.07078	+	6.37319i	−0.0987204	+	0.303830i
$441$	−9.96113	−	36.7844i	−0.474340	−	1.75164i
$442$	−4.93193			−0.234588
$443$	13.1468	+	14.6011i	0.624626	+	0.693717i	0.969544	−	0.244916i	$-0.0787602\pi$
$443$	13.1468	+	14.6011i	0.624626	+	0.693717i	−0.344919	+	0.938633i	$0.612094\pi$
$444$	0.466607	+	1.12227i	0.0221442	+	0.0532606i
$445$	2.22601	−	21.1791i	0.105523	−	1.00399i
$446$	−18.6827	+	20.7492i	−0.884651	+	0.982505i
$447$	14.0697	−	1.12611i	0.665474	−	0.0532633i
$448$	−2.21941	+	3.84413i	−0.104857	+	0.181618i
$449$	21.5128	+	15.6300i	1.01525	+	0.737623i	0.965304	−	0.261128i	$-0.0840946\pi$
$449$	21.5128	+	15.6300i	1.01525	+	0.737623i	0.0499475	+	0.998752i	$0.484095\pi$
$450$	−0.359620	+	0.234900i	−0.0169527	+	0.0110733i
$451$	7.73912	+	17.8658i	0.364421	+	0.841270i
$452$	−0.706039	+	1.22290i	−0.0332093	+	0.0575202i
$453$	−19.7872	−	6.97745i	−0.929683	−	0.327829i
$454$	13.9851	+	24.2228i	0.656351	+	1.13683i
$455$	20.4166	−	22.6749i	0.957144	−	1.06302i
$456$	−2.38203	+	5.01115i	−0.111549	+	0.234669i
$457$	−18.5773	+	8.27117i	−0.869011	+	0.386909i	−0.792291	−	0.610144i	$-0.791112\pi$
$457$	−18.5773	+	8.27117i	−0.869011	+	0.386909i	−0.0767208	+	0.997053i	$0.524445\pi$
$458$	−8.32723	+	6.05009i	−0.389106	+	0.282702i
$459$	4.32081	+	6.98828i	0.201678	+	0.326185i
$460$	4.62144			0.215476
$461$	−4.86009	−	5.39768i	−0.226357	−	0.251395i	0.619259	−	0.785187i	$-0.287433\pi$
$461$	−4.86009	−	5.39768i	−0.226357	−	0.251395i	−0.845616	+	0.533792i	$0.820767\pi$
$462$	20.5299	−	11.1822i	0.955139	−	0.520242i
$463$	0.959969	−	1.06615i	0.0446135	−	0.0495484i	−0.720425	−	0.693533i	$-0.756053\pi$
$463$	0.959969	−	1.06615i	0.0446135	−	0.0495484i	0.765039	+	0.643985i	$0.222720\pi$
$464$	0.583890	−	5.55535i	0.0271064	−	0.257901i
$465$	14.3080	−	4.25890i	0.663518	−	0.197502i
$466$	1.07500	+	0.228498i	0.0497983	+	0.0105850i
$467$	0.513512	−	0.373088i	0.0237625	−	0.0172645i	−0.575841	−	0.817562i	$-0.695325\pi$
$467$	0.513512	−	0.373088i	0.0237625	−	0.0172645i	0.599603	+	0.800298i	$0.295325\pi$
$468$	−6.59901	+	6.63415i	−0.305039	+	0.306664i
$469$	−27.4531	−	19.9458i	−1.26766	−	0.921012i
$470$	−0.291151	−	2.77012i	−0.0134298	−	0.127776i
$471$	−12.9705	−	31.1962i	−0.597647	−	1.43745i
$472$	2.02956	+	0.903618i	0.0934180	+	0.0415924i
$473$	−8.02994	−	3.57516i	−0.369217	−	0.164386i
$474$	−20.0264	+	17.1502i	−0.919844	+	0.787736i
$475$	0.306908	+	0.340855i	0.0140819	+	0.0156395i
$476$	5.67822	−	4.12547i	0.260261	−	0.189091i
$477$	21.2255	−	8.21246i	0.971850	−	0.376023i
$478$	6.62982			0.303241
$479$	33.4815	−	14.9069i	1.52981	−	0.681114i	0.542518	−	0.840044i	$-0.317471\pi$
$479$	33.4815	−	14.9069i	1.52981	−	0.681114i	0.987290	+	0.158930i	$0.0508044\pi$
$480$	2.16622	+	3.14292i	0.0988740	+	0.143454i
$481$	2.14089	−	0.455060i	0.0976161	−	0.0207490i
$482$	−17.9136	+	3.80766i	−0.815943	+	0.173434i
$483$	−11.7095	−	11.0824i	−0.532800	−	0.504265i
$484$	−1.17372	−	1.30354i	−0.0533507	−	0.0592520i
$485$	6.36450	−	4.62408i	0.288997	−	0.209969i
$486$	15.1816	+	3.53833i	0.688650	+	0.160502i
$487$	−0.849799	−	2.61541i	−0.0385081	−	0.118516i	0.929955	−	0.367674i	$-0.119846\pi$
$487$	−0.849799	−	2.61541i	−0.0385081	−	0.118516i	−0.968463	+	0.249159i	$0.919846\pi$
$488$	−10.1975	−	2.16755i	−0.461621	−	0.0981206i
$489$	−28.1335	−	26.6268i	−1.27224	−	1.20411i
$490$	−2.92631	+	27.8420i	−0.132197	+	1.25777i
$491$	13.1127	+	22.7119i	0.591769	+	1.02497i	0.993994	+	0.109433i	$0.0349036\pi$
$491$	13.1127	+	22.7119i	0.591769	+	1.02497i	−0.402225	+	0.915541i	$0.631763\pi$
$492$	10.7610	+	2.68354i	0.485142	+	0.120983i
$493$	−4.41626	+	7.64918i	−0.198898	+	0.344502i
$494$	8.08352	+	5.87302i	0.363695	+	0.264240i
$495$	−1.10545	−	20.0731i	−0.0496864	−	0.902219i
$496$	1.20853	+	3.71949i	0.0542648	+	0.167010i
$497$	27.3600	+	5.81554i	1.22726	+	0.260863i
$498$	19.0056	−	16.2760i	0.851662	−	0.729346i
$499$	9.02912	+	4.02002i	0.404199	+	0.179961i	0.598758	−	0.800930i	$-0.295661\pi$
$499$	9.02912	+	4.02002i	0.404199	+	0.179961i	−0.194559	+	0.980891i	$0.562328\pi$
$500$	11.0870	−	2.35660i	0.495824	−	0.105391i
$501$	−5.33781	+	22.3644i	−0.238476	+	0.999167i
$502$	−16.6936	−	18.5401i	−0.745070	−	0.827484i
$503$	9.29843	−	28.6176i	0.414596	−	1.27600i	−0.498015	−	0.867168i	$-0.665938\pi$
$503$	9.29843	−	28.6176i	0.414596	−	1.27600i	0.912611	−	0.408828i	$-0.134062\pi$
$504$	2.04821	−	13.1580i	0.0912347	−	0.586103i
$505$	13.9027	+	10.1009i	0.618661	+	0.449484i
$506$	3.18820	−	5.52213i	0.141733	−	0.245489i
$507$	−3.21542	−	4.66519i	−0.142802	−	0.207188i
$508$	9.96381	+	4.43617i	0.442073	+	0.196823i
$509$	−39.0346	+	8.29706i	−1.73018	+	0.367761i	−0.962121	−	0.272621i	$-0.912109\pi$
$509$	−39.0346	+	8.29706i	−1.73018	+	0.367761i	−0.768057	+	0.640382i	$0.778776\pi$
$510$	−1.10779	−	5.93312i	−0.0490538	−	0.262723i
$511$	−6.03596	−	57.4283i	−0.267015	−	2.54048i
$512$	−0.809017	+	0.587785i	−0.0357538	+	0.0259767i
$513$	1.23987	−	16.5992i	0.0547416	−	0.732874i
$514$	0.735316	−	0.534238i	0.0324334	−	0.0235642i
$515$	21.6887	−	9.65641i	0.955717	−	0.425512i
$516$	−4.39696	+	2.39492i	−0.193566	+	0.105431i
$517$	−3.51086	−	1.56313i	−0.154407	−	0.0687466i
$518$	−2.08420	+	2.31474i	−0.0915744	+	0.101704i
$519$	−0.759558	+	0.226089i	−0.0333409	+	0.00992420i
$520$	6.27964	−	2.79588i	0.275381	−	0.122607i
$521$	−6.22104	−	19.1464i	−0.272549	−	0.838819i	−0.989858	−	0.142063i	$-0.954626\pi$
$521$	−6.22104	−	19.1464i	−0.272549	−	0.838819i	0.717309	−	0.696755i	$-0.245374\pi$
$522$	4.38022	+	16.1753i	0.191717	+	0.707972i
$523$	−2.26053	+	6.95720i	−0.0988462	+	0.304217i	−0.988237	−	0.152931i	$-0.951129\pi$
$523$	−2.26053	+	6.95720i	−0.0988462	+	0.304217i	0.889391	+	0.457148i	$0.151129\pi$
$524$	−7.80292	+	13.5151i	−0.340872	+	0.590408i
$525$	−0.939354	−	0.573922i	−0.0409968	−	0.0250480i
$526$	−24.6614	−	10.9800i	−1.07529	−	0.478749i
$527$	0.646397	−	6.15005i	0.0281575	−	0.267901i
$528$	5.24987	−	0.420189i	0.228471	−	0.0182864i
$529$	18.1960	+	3.86768i	0.791131	+	0.168160i
$530$	−16.7188			−0.726220
$531$	−6.65665	−	0.331135i	−0.288874	−	0.0143700i
$532$	−14.2194			−0.616489
$533$	8.30720	−	18.1623i	0.359825	−	0.786697i
$534$	−16.0414	+	4.77487i	−0.694181	+	0.206629i
$535$	1.17069	−	11.1384i	0.0506134	−	0.481554i
$536$	−3.82240	−	6.62059i	−0.165103	−	0.285966i
$537$	2.39311	−	5.03446i	0.103270	−	0.217253i
$538$	12.7866	+	2.71787i	0.551269	+	0.117176i
$539$	31.2494	+	22.7040i	1.34601	+	0.977932i
$540$	−9.46315	−	6.44849i	−0.407229	−	0.277499i
$541$	12.2213	−	37.6132i	0.525433	−	1.61712i	−0.238025	−	0.971259i	$-0.576500\pi$
$541$	12.2213	−	37.6132i	0.525433	−	1.61712i	0.763458	−	0.645857i	$-0.223500\pi$
$542$	−5.05212	+	8.75053i	−0.217007	+	0.375867i
$543$	−25.4500	+	13.8620i	−1.09216	+	0.594876i
$544$	1.54665	−	0.328751i	0.0663121	−	0.0140951i
$545$	−12.4963	+	13.8786i	−0.535284	+	0.594493i
$546$	−22.6155	−	7.97480i	−0.967856	−	0.341290i
$547$	−6.44601	+	11.1648i	−0.275611	+	0.477373i	−0.970289	−	0.241948i	$-0.922214\pi$
$547$	−6.44601	+	11.1648i	−0.275611	+	0.477373i	0.694678	+	0.719321i	$0.255547\pi$
$548$	−5.12648	−	15.7777i	−0.218993	−	0.673990i
$549$	30.8779	−	4.97468i	1.31784	−	0.212314i
$550$	0.134536	−	0.414060i	0.00573665	−	0.0176556i
$551$	16.3471	−	7.27820i	0.696411	−	0.310062i
$552$	−1.39441	−	3.35381i	−0.0593501	−	0.142747i
$553$	−61.7288	−	27.4834i	−2.62498	−	1.16871i
$554$	20.0633	+	8.93275i	0.852407	+	0.379516i
$555$	1.02832	+	2.47328i	0.0436496	+	0.104985i
$556$	6.95445	−	3.09632i	0.294934	−	0.131313i
$557$	−0.320115	+	0.985214i	−0.0135637	+	0.0417448i	−0.957609	−	0.288070i	$-0.906986\pi$
$557$	−0.320115	+	0.985214i	−0.0135637	+	0.0417448i	0.944046	+	0.329815i	$0.106986\pi$
$558$	−7.40782	−	9.09838i	−0.313598	−	0.385165i
$559$	2.78624	+	8.57517i	0.117845	+	0.362691i
$560$	−4.89117	+	8.47176i	−0.206690	+	0.357997i
$561$	−7.85368	−	2.76940i	−0.331583	−	0.116924i
$562$	−9.50236	+	10.5534i	−0.400833	+	0.445170i
$563$	12.6587	−	2.69070i	0.533502	−	0.113399i	0.0667199	−	0.997772i	$-0.478747\pi$
$563$	12.6587	−	2.69070i	0.533502	−	0.113399i	0.466782	+	0.884372i	$0.345413\pi$
$564$	−1.92244	+	1.04711i	−0.0809495	+	0.0440913i
$565$	−1.55598	+	2.69504i	−0.0654607	+	0.113381i
$566$	8.92743	−	27.4758i	0.375248	−	1.15489i
$567$	8.51338	+	39.0317i	0.357528	+	1.63918i
$568$	5.09802	+	3.70393i	0.213908	+	0.155414i
$569$	2.40557	+	0.511319i	0.100847	+	0.0214356i	0.258059	−	0.966129i	$-0.416917\pi$
$569$	2.40557	+	0.511319i	0.100847	+	0.0214356i	−0.157212	+	0.987565i	$0.550251\pi$
$570$	−5.24957	+	11.0437i	−0.219880	+	0.462569i
$571$	2.03072	+	3.51731i	0.0849830	+	0.147195i	0.905384	−	0.424594i	$-0.139583\pi$
$571$	2.03072	+	3.51731i	0.0849830	+	0.147195i	−0.820401	+	0.571789i	$0.806250\pi$
$572$	0.991376	−	9.43231i	0.0414515	−	0.394385i
$573$	24.7959	−	7.38071i	1.03586	−	0.308334i
$574$	5.62822	+	27.8595i	0.234917	+	1.16283i
$575$	−0.300251			−0.0125213
$576$	1.62723	−	2.52034i	0.0678012	−	0.105014i
$577$	−27.8453			−1.15921			−0.579607	−	0.814896i	$-0.696794\pi$
$577$	−27.8453			−1.15921			−0.579607	+	0.814896i	$0.696794\pi$
$578$	14.1829	+	3.01468i	0.589933	+	0.125394i
$579$	−11.3700	+	0.910031i	−0.472520	+	0.0378196i
$580$	1.28679	−	12.2430i	0.0534310	−	0.508362i
$581$	58.5823	+	26.0825i	2.43040	+	1.08208i
$582$	−5.27606	−	3.22354i	−0.218700	−	0.133620i
$583$	−11.5339	+	19.9772i	−0.477684	+	0.827373i
$584$	4.02001	−	12.3723i	0.166349	−	0.511970i
$585$	−14.5430	+	14.6205i	−0.601280	+	0.604482i
$586$	6.05092	+	18.6228i	0.249961	+	0.769302i
$587$	−24.7642	+	11.0257i	−1.02213	+	0.455081i	−0.848200	−	0.529677i	$-0.822313\pi$
$587$	−24.7642	+	11.0257i	−1.02213	+	0.455081i	−0.173930	+	0.984758i	$0.555647\pi$
$588$	21.0880	−	6.27703i	0.869655	−	0.258860i
$589$	−8.38305	+	9.31032i	−0.345417	+	0.383625i
$590$	4.47278	+	1.99141i	0.184141	+	0.0819850i
$591$	27.3796	−	14.9130i	1.12625	−	0.613439i
$592$	−0.641049	+	0.285413i	−0.0263469	+	0.0117304i
$593$	−27.7228	+	20.1418i	−1.13844	+	0.827124i	−0.986901	−	0.161327i	$-0.948423\pi$
$593$	−27.7228	+	20.1418i	−1.13844	+	0.827124i	−0.151538	+	0.988451i	$0.548423\pi$
$594$	−14.2336	+	6.85883i	−0.584013	+	0.281421i
$595$	12.5138	−	9.09179i	0.513015	−	0.372727i
$596$	0.851816	+	8.10449i	0.0348917	+	0.331973i
$597$	8.19626	+	43.8977i	0.335451	+	1.79661i
$598$	−6.39786	+	1.35991i	−0.261628	+	0.0556107i
$599$	12.0353	+	5.35846i	0.491749	+	0.218941i	0.637603	−	0.770366i	$-0.279926\pi$
$599$	12.0353	+	5.35846i	0.491749	+	0.218941i	−0.145854	+	0.989306i	$0.546593\pi$
$600$	−0.140737	−	0.204193i	−0.00574558	−	0.00833613i
$601$	−23.0302	+	39.8895i	−0.939423	+	1.62713i	−0.172873	+	0.984944i	$0.555305\pi$
$601$	−23.0302	+	39.8895i	−0.939423	+	1.62713i	−0.766550	+	0.642184i	$0.778028\pi$
$602$	−10.3808	−	7.54212i	−0.423091	−	0.307394i
$603$	17.8616	+	14.3857i	0.727382	+	0.585831i
$604$	3.74331	−	11.5207i	0.152313	−	0.468771i
$605$	−2.58666	−	2.87278i	−0.105163	−	0.116795i
$606$	3.13546	−	13.1370i	0.127369	−	0.533653i
$607$	−9.50269	+	2.01986i	−0.385702	+	0.0819836i	−0.396682	−	0.917956i	$-0.629838\pi$
$607$	−9.50269	+	2.01986i	−0.385702	+	0.0819836i	0.0109795	+	0.999940i	$0.496505\pi$
$608$	−2.92647	−	1.30295i	−0.118684	−	0.0528416i
$609$	−32.6195	+	27.9347i	−1.32181	+	1.13197i
$610$	−22.4735	−	4.77690i	−0.909927	−	0.193411i
$611$	1.21820	+	3.74924i	0.0492832	+	0.151678i
$612$	−3.97145	+	2.59411i	−0.160536	+	0.104861i
$613$	−8.88633	−	6.45629i	−0.358915	−	0.260767i	0.393684	−	0.919246i	$-0.371200\pi$
$613$	−8.88633	−	6.45629i	−0.358915	−	0.260767i	−0.752600	+	0.658478i	$0.771200\pi$
$614$	−8.32747	+	14.4236i	−0.336069	+	0.582089i
$615$	23.7152	+	5.91403i	0.956291	+	0.238477i
$616$	6.74857	+	11.6889i	0.271908	+	0.470958i
$617$	−1.98818	+	18.9162i	−0.0800410	+	0.761539i	0.878722	+	0.477333i	$0.158397\pi$
$617$	−1.98818	+	18.9162i	−0.0800410	+	0.761539i	−0.958763	+	0.284206i	$0.908270\pi$
$618$	−13.5518	−	12.8260i	−0.545132	−	0.515937i
$619$	18.5319	+	3.93908i	0.744861	+	0.158325i	0.564682	−	0.825309i	$-0.308999\pi$
$619$	18.5319	+	3.93908i	0.744861	+	0.158325i	0.180179	+	0.983634i	$0.442332\pi$
$620$	2.66339	+	8.19708i	0.106964	+	0.329203i
$621$	7.53202	+	7.87403i	0.302249	+	0.315974i
$622$	−23.7245	+	17.2368i	−0.951264	+	0.691134i
$623$	−28.7009	−	31.8755i	−1.14988	−	1.27707i
$624$	−3.92372	−	3.71358i	−0.157075	−	0.148662i
$625$	23.7334	−	5.04469i	0.949335	−	0.201787i
$626$	24.0000	−	5.10136i	0.959233	−	0.203891i
$627$	9.57449	+	13.8914i	0.382368	+	0.554769i
$628$	17.8195	−	7.93375i	0.711075	−	0.316591i
$629$	1.10955			0.0442408
$630$	4.51389	−	28.9978i	0.179838	−	1.15530i
$631$	16.0653	−	11.6721i	0.639549	−	0.464659i	−0.220147	−	0.975467i	$-0.570654\pi$
$631$	16.0653	−	11.6721i	0.639549	−	0.464659i	0.859695	+	0.510808i	$0.170654\pi$
$632$	−10.1859	−	11.3126i	−0.405175	−	0.449993i
$633$	−22.3202	+	19.1146i	−0.887149	+	0.759737i
$634$	17.0239	+	7.57951i	0.676104	+	0.301021i
$635$	21.9584	+	9.77653i	0.871394	+	0.387970i
$636$	5.04452	+	12.1330i	0.200028	+	0.481103i
$637$	−4.14164	−	39.4051i	−0.164098	−	1.56129i
$638$	−13.7413	−	9.98367i	−0.544025	−	0.395257i
$639$	−18.2733	−	4.84433i	−0.722880	−	0.191639i
$640$	−1.78293	+	1.29537i	−0.0704764	+	0.0512041i
$641$	37.4031	+	7.95027i	1.47733	+	0.314017i	0.874959	−	0.484197i	$-0.160888\pi$
$641$	37.4031	+	7.95027i	1.47733	+	0.314017i	0.602374	+	0.798214i	$0.294222\pi$
$642$	−8.43642	+	2.51117i	−0.332959	+	0.0991081i
$643$	−3.26884	+	31.1010i	−0.128911	+	1.22650i	0.718486	+	0.695542i	$0.244836\pi$
$643$	−3.26884	+	31.1010i	−0.128911	+	1.22650i	−0.847396	+	0.530961i	$0.821831\pi$
$644$	6.22844	−	6.91738i	0.245435	−	0.272583i
$645$	−9.69011	+	5.27798i	−0.381548	+	0.207820i
$646$	3.38932	+	3.76422i	0.133351	+	0.148101i
$647$	47.9623			1.88559			0.942795	−	0.333372i	$-0.108186\pi$
$647$	47.9623			1.88559			0.942795	+	0.333372i	$0.108186\pi$
$648$	−1.82442	+	8.81314i	−0.0716699	+	0.346213i
$649$	5.46517	−	3.97068i	0.214527	−	0.155863i
$650$	−0.407983	+	0.181646i	−0.0160024	+	0.00712473i
$651$	12.9086	−	27.1561i	0.505926	−	1.06433i
$652$	14.9646	−	16.6199i	0.586060	−	0.650886i
$653$	−7.37165	−	12.7681i	−0.288475	−	0.499653i	0.684971	−	0.728570i	$-0.259815\pi$
$653$	−7.37165	−	12.7681i	−0.288475	−	0.499653i	−0.973446	+	0.228917i	$0.926482\pi$
$654$	13.8422	+	4.88112i	0.541274	+	0.190867i
$655$	−17.1962	+	29.7847i	−0.671912	+	1.16379i
$656$	−1.39448	+	6.24943i	−0.0544452	+	0.243999i
$657$	2.14602	+	38.9680i	0.0837242	+	1.52029i
$658$	−4.53872	−	3.29757i	−0.176938	−	0.128553i
$659$	−20.2012	+	34.9895i	−0.786926	+	1.36300i	0.140915	+	0.990022i	$0.454995\pi$
$659$	−20.2012	+	34.9895i	−0.786926	+	1.36300i	−0.927842	+	0.372974i	$0.878338\pi$
$660$	11.5698	−	0.926022i	0.450353	−	0.0360453i
$661$	−7.20804	+	8.00534i	−0.280360	+	0.311372i	−0.866834	−	0.498596i	$-0.833849\pi$
$661$	−7.20804	+	8.00534i	−0.280360	+	0.311372i	0.586474	+	0.809968i	$0.300516\pi$
$662$	0.276640	−	2.63206i	0.0107519	−	0.102298i
$663$	3.27949	+	7.88775i	0.127365	+	0.306335i
$664$	9.66673	+	10.7360i	0.375142	+	0.416637i
$665$	−31.3370			−1.21520
$666$	1.48460	−	1.49251i	0.0575272	−	0.0578336i
$667$	−3.61977	+	11.1405i	−0.140158	+	0.431362i
$668$	−12.9847	−	2.75998i	−0.502392	−	0.106787i
$669$	45.6078	+	16.0825i	1.76330	+	0.621784i
$670$	−8.42388	−	14.5906i	−0.325443	−	0.563683i
$671$	−21.2118	+	23.5581i	−0.818871	+	0.909449i
$672$	7.62381	+	0.993396i	0.294095	+	0.0383211i
$673$	14.1419	+	15.7061i	0.545128	+	0.605426i	0.951261	−	0.308388i	$-0.0997895\pi$
$673$	14.1419	+	15.7061i	0.545128	+	0.605426i	−0.406132	+	0.913814i	$0.633123\pi$
$674$	0.757692	+	0.550496i	0.0291852	+	0.0212043i
$675$	0.614812	+	0.418952i	0.0236641	+	0.0161255i
$676$	2.64648	−	1.92278i	0.101788	−	0.0739532i
$677$	0.283780	+	2.69999i	0.0109066	+	0.103769i	0.998621	−	0.0525016i	$-0.0167195\pi$
$677$	0.283780	+	2.69999i	0.0109066	+	0.103769i	−0.987714	+	0.156271i	$0.950053\pi$
$678$	2.42529	+	0.316020i	0.0931427	+	0.0121367i
$679$	1.65627	−	15.7584i	0.0635620	−	0.604752i
$680$	3.40854	−	0.724507i	0.130711	−	0.0277836i
$681$	29.4408	−	38.4736i	1.12817	−	1.47431i
$682$	11.6320	+	2.47247i	0.445414	+	0.0946757i
$683$	12.6002			0.482133			0.241066	−	0.970509i	$-0.422503\pi$
$683$	12.6002			0.482133			0.241066	+	0.970509i	$0.422503\pi$
$684$	9.59840	+	0.477472i	0.367004	+	0.0182566i
$685$	−11.2978	−	34.7712i	−0.431668	−	1.32854i
$686$	16.9390	+	18.8127i	0.646735	+	0.718272i
$687$	15.2133	+	9.29494i	0.580422	+	0.354624i
$688$	−1.44536	−	2.50344i	−0.0551040	−	0.0954429i
$689$	23.1453	−	4.91969i	0.881767	−	0.187425i
$690$	−3.07303	−	7.39118i	−0.116988	−	0.281378i
$691$	−13.2645	+	5.90576i	−0.504607	+	0.224666i	−0.643221	−	0.765681i	$-0.722402\pi$
$691$	−13.2645	+	5.90576i	−0.504607	+	0.224666i	0.138613	+	0.990347i	$0.455735\pi$
$692$	−0.141389	−	0.435152i	−0.00537482	−	0.0165420i
$693$	−31.5353	−	25.3984i	−1.19793	−	0.964806i
$694$	36.1065			1.37058
$695$	15.3263	−	6.82373i	0.581361	−	0.258839i
$696$	−9.27306	+	2.76021i	−0.351495	+	0.104625i
$697$	6.03354	−	8.13048i	0.228537	−	0.307964i
$698$	−0.142714	−	0.247188i	−0.00540182	−	0.00935622i
$699$	−0.349379	−	1.87121i	−0.0132147	−	0.0707757i
$700$	0.317775	−	0.550403i	0.0120108	−	0.0208033i
$701$	−8.26732	−	25.4442i	−0.312252	−	0.961014i	−0.976871	−	0.213831i	$-0.931406\pi$
$701$	−8.26732	−	25.4442i	−0.312252	−	0.961014i	0.664618	−	0.747183i	$-0.268594\pi$
$702$	14.9982	+	6.14257i	0.566070	+	0.231836i
$703$	−1.81858	−	1.32128i	−0.0685891	−	0.0498329i
$704$	0.317841	+	3.02405i	0.0119791	+	0.113973i
$705$	−4.23672	+	2.30764i	−0.159564	+	0.0869108i
$706$	−1.86531	−	3.23082i	−0.0702020	−	0.121593i
$707$	33.8561	−	7.19633i	1.27329	−	0.270646i
$708$	0.0956200	−	3.84678i	0.00359362	−	0.144571i
$709$	35.9364	+	7.63851i	1.34962	+	0.286870i	0.825321	−	0.564664i	$-0.190994\pi$
$709$	35.9364	+	7.63851i	1.34962	+	0.286870i	0.524298	+	0.851535i	$0.324328\pi$
$710$	11.2351	+	8.16280i	0.421647	+	0.306344i
$711$	40.7454	+	20.6247i	1.52807	+	0.773486i
$712$	−2.98607	−	9.19016i	−0.111908	−	0.344416i
$713$	−0.857260	−	8.15629i	−0.0321046	−	0.305455i
$714$	−10.3737	−	6.33808i	−0.388226	−	0.237197i
$715$	2.18481	−	20.7871i	0.0817074	−	0.777394i
$716$	2.94008	+	1.30901i	0.109876	+	0.0489199i
$717$	−4.40851	−	10.6032i	−0.164639	−	0.395985i
$718$	−2.97578	−	28.3126i	−0.111055	−	1.05662i
$719$	30.3306	−	22.0365i	1.13114	−	0.821823i	0.145281	−	0.989390i	$-0.453591\pi$
$719$	30.3306	−	22.0365i	1.13114	−	0.821823i	0.985861	+	0.167568i	$0.0535913\pi$
$720$	3.58612	−	5.55438i	0.133647	−	0.206999i
$721$	14.7767	−	45.4779i	0.550311	−	1.69368i
$722$	0.913379	+	8.69022i	0.0339924	+	0.323417i
$723$	18.0014	+	26.1178i	0.669478	+	0.971331i
$724$	−8.36589	−	14.4901i	−0.310916	−	0.538522i
$725$	−0.0836015	+	0.795415i	−0.00310488	+	0.0295410i
$726$	−1.30433	+	2.74395i	−0.0484081	+	0.101837i
$727$	1.89364	+	2.10310i	0.0702311	+	0.0779996i	0.777236	−	0.629209i	$-0.216621\pi$
$727$	1.89364	+	2.10310i	0.0702311	+	0.0779996i	−0.707005	+	0.707208i	$0.749954\pi$
$728$	4.27837	−	13.1675i	0.158567	−	0.488019i
$729$	−4.43607	−	26.6331i	−0.164299	−	0.986411i
$730$	8.85937	−	27.2663i	0.327900	−	1.00917i
$731$	0.477782	+	4.54579i	0.0176714	+	0.168132i
$732$	3.31425	+	17.7505i	0.122498	+	0.656077i
$733$	−11.5868	+	12.8684i	−0.427968	+	0.475307i	−0.918104	−	0.396339i	$-0.870280\pi$
$733$	−11.5868	+	12.8684i	−0.427968	+	0.475307i	0.490136	+	0.871646i	$0.336947\pi$
$734$	−15.0020	+	16.6614i	−0.553734	+	0.614984i
$735$	46.4742	−	13.8334i	1.71423	−	0.510254i
$736$	1.91572	−	0.852932i	0.0706143	−	0.0314395i
$737$	−23.2456			−0.856263
$738$	−2.86368	−	18.9947i	−0.105413	−	0.699205i
$739$	−34.6988			−1.27642			−0.638208	−	0.769864i	$-0.720324\pi$
$739$	−34.6988			−1.27642			−0.638208	+	0.769864i	$0.720324\pi$
$740$	−1.41276	+	0.628999i	−0.0519339	+	0.0231225i
$741$	4.01772	−	16.8335i	0.147595	−	0.618392i
$742$	−22.5324	+	25.0248i	−0.827192	+	0.918689i
$743$	2.55102	−	2.83319i	0.0935877	−	0.103940i	−0.694532	−	0.719462i	$-0.744388\pi$
$743$	2.55102	−	2.83319i	0.0935877	−	0.103940i	0.788119	+	0.615523i	$0.211055\pi$
$744$	5.14505	−	4.40612i	0.188627	−	0.161536i
$745$	1.87725	+	17.8608i	0.0687771	+	0.654370i
$746$	3.50552	−	10.7889i	0.128346	−	0.395009i
$747$	−38.6684	−	19.5734i	−1.41480	−	0.716152i
$748$	1.48575	−	4.57266i	0.0543243	−	0.167193i
$749$	−15.0942	−	16.7638i	−0.551530	−	0.612536i
$750$	−11.1413	−	16.1646i	−0.406821	−	0.590248i
$751$	−3.73283	+	35.5155i	−0.136213	+	1.29598i	0.686336	+	0.727285i	$0.259218\pi$
$751$	−3.73283	+	35.5155i	−0.136213	+	1.29598i	−0.822549	+	0.568695i	$0.807448\pi$
$752$	−0.631943	−	1.09456i	−0.0230446	−	0.0399144i
$753$	−18.5512	+	39.0267i	−0.676043	+	1.42221i
$754$	1.82121	+	17.3277i	0.0663246	+	0.631036i
$755$	8.24957	−	25.3896i	0.300233	−	0.924021i
$756$	−22.4059	+	5.47367i	−0.814893	+	0.199075i
$757$	37.1315	−	26.9776i	1.34957	−	0.980519i	0.350535	−	0.936550i	$-0.386000\pi$
$757$	37.1315	−	26.9776i	1.34957	−	0.980519i	0.999033	−	0.0439690i	$-0.0140003\pi$
$758$	2.16803	+	20.6275i	0.0787465	+	0.749223i
$759$	−10.9517	−	1.42702i	−0.397521	−	0.0517977i
$760$	−6.44941	−	2.87146i	−0.233945	−	0.104159i
$761$	0.0110614	−	0.105242i	0.000400976	−	0.00381503i	−0.994320	−	0.106436i	$-0.966056\pi$
$761$	0.0110614	−	0.105242i	0.000400976	−	0.00381503i	0.994721	+	0.102621i	$0.0327228\pi$
$762$	0.469432	−	18.8852i	0.0170057	−	0.684139i
$763$	3.93185	+	37.4091i	0.142343	+	1.35430i
$764$	4.61568	+	14.2056i	0.166989	+	0.513941i
$765$	−8.75236	+	5.71695i	−0.316442	+	0.206697i
$766$	−16.0481	−	11.6596i	−0.579840	−	0.421278i
$767$	−6.77805	−	1.44072i	−0.244741	−	0.0520213i
$768$	1.47802	+	0.903032i	0.0533333	+	0.0325854i
$769$	24.5052	−	5.20875i	0.883681	−	0.187832i	0.256349	−	0.966584i	$-0.417480\pi$
$769$	24.5052	−	5.20875i	0.883681	−	0.187832i	0.627332	+	0.778752i	$0.284147\pi$
$770$	14.8726	+	25.7602i	0.535973	+	0.928332i
$771$	−1.34337	−	0.820766i	−0.0483803	−	0.0295592i
$772$	−0.688367	−	6.54938i	−0.0247749	−	0.235717i
$773$	30.2889	+	22.0062i	1.08942	+	0.791507i	0.979301	−	0.202412i	$-0.0648779\pi$
$773$	30.2889	+	22.0062i	1.08942	+	0.791507i	0.110115	+	0.993919i	$0.464878\pi$
$774$	6.75403	+	5.43966i	0.242768	+	0.195525i
$775$	−0.173038	−	0.532557i	−0.00621571	−	0.0191300i
$776$	1.78484	−	3.09144i	0.0640722	−	0.110976i
$777$	5.08791	+	1.79412i	0.182528	+	0.0643638i
$778$	5.37189	+	9.30438i	0.192592	+	0.333578i
$779$	−19.5710	+	6.14117i	−0.701204	+	0.220030i
$780$	−8.64718	−	8.18407i	−0.309619	−	0.293037i
$781$	17.5045	−	7.79350i	0.626360	−	0.278873i
$782$	−3.31580			−0.118573
$783$	22.9568	−	17.7612i	0.820411	−	0.634732i
$784$	3.92547	+	12.0814i	0.140195	+	0.431477i
$785$	39.2709	−	17.4846i	1.40164	−	0.624050i
$786$	26.8035	+	3.49255i	0.956050	+	0.124575i
$787$	−28.1505	+	5.98357i	−1.00346	+	0.213291i	−0.680205	−	0.733022i	$-0.738109\pi$
$787$	−28.1505	+	5.98357i	−1.00346	+	0.213291i	−0.323252	+	0.946313i	$0.604776\pi$
$788$	9.00019	+	15.5888i	0.320618	+	0.555327i
$789$	−1.16189	+	46.7428i	−0.0413644	+	1.66409i
$790$	−22.4480	−	24.9310i	−0.798663	−	0.887006i
$791$	1.93691	+	5.96118i	0.0688684	+	0.211955i
$792$	−4.16293	−	8.11685i	−0.147923	−	0.288420i
$793$	32.5177			1.15474
$794$	21.8073	+	4.63527i	0.773910	+	0.164500i
$795$	11.1172	+	26.7388i	0.394287	+	0.948329i
$796$	−25.2189	+	5.36045i	−0.893861	+	0.189996i
$797$	0.257775	−	2.45257i	0.00913087	−	0.0868745i	−0.989007	−	0.147866i	$-0.952760\pi$
$797$	0.257775	−	2.45257i	0.00913087	−	0.0868745i	0.998138	+	0.0609915i	$0.0194263\pi$
$798$	9.45521	+	22.7414i	0.334711	+	0.805038i
$799$	0.208896	+	1.98751i	0.00739022	+	0.0703132i
$800$	0.115835	−	0.0841592i	0.00409539	−	0.00297548i
$801$	18.3033	+	22.4804i	0.646717	+	0.794306i
$802$	0.806215	+	0.585749i	0.0284684	+	0.0206835i
$803$	−26.4685	−	29.3963i	−0.934055	−	1.03737i
$804$	−8.04676	+	10.5156i	−0.283787	+	0.370858i
$805$	13.7264	−	15.2447i	0.483791	−	0.537304i
$806$	−6.09924	−	10.5642i	−0.214837	−	0.372108i
$807$	−4.15570	−	22.2572i	−0.146288	−	0.783489i
$808$	7.62727	+	1.62123i	0.268327	+	0.0570346i
$809$	−0.943563	+	2.90399i	−0.0331739	+	0.102099i	−0.966272	−	0.257522i	$-0.917094\pi$
$809$	−0.943563	+	2.90399i	−0.0331739	+	0.102099i	0.933098	+	0.359621i	$0.117094\pi$
$810$	−4.02069	+	19.4226i	−0.141273	+	0.682440i
$811$	49.8873			1.75178			0.875890	−	0.482510i	$-0.160275\pi$
$811$	49.8873			1.75178			0.875890	+	0.482510i	$0.160275\pi$
$812$	−16.5911	−	18.4263i	−0.582233	−	0.646635i
$813$	17.3543	+	2.26130i	0.608643	+	0.0793073i
$814$	−0.223034	+	2.12202i	−0.00781732	+	0.0743769i
$815$	32.9793	−	36.6273i	1.15522	−	1.28300i
$816$	−1.55423	−	2.25499i	−0.0544088	−	0.0789405i
$817$	4.63011	−	8.01959i	0.161987	−	0.280570i
$818$	3.51655	+	2.55492i	0.122953	+	0.0893308i
$819$	2.28394	+	41.4725i	0.0798074	+	1.44916i
$820$	−3.07318	+	13.7726i	−0.107320	+	0.480961i
$821$	−6.25769	+	10.8386i	−0.218395	+	0.378271i	−0.954317	−	0.298795i	$-0.903415\pi$
$821$	−6.25769	+	10.8386i	−0.218395	+	0.378271i	0.735922	+	0.677066i	$0.236749\pi$
$822$	−21.8248	+	18.6903i	−0.761227	+	0.651900i
$823$	−5.01690	−	8.68953i	−0.174878	−	0.302898i	0.765241	−	0.643744i	$-0.222620\pi$
$823$	−5.01690	−	8.68953i	−0.174878	−	0.302898i	−0.940119	+	0.340846i	$0.889286\pi$
$824$	7.20838	−	8.00571i	0.251116	−	0.278892i
$825$	−0.751677	+	0.0601628i	−0.0261700	+	0.00209460i
$826$	9.00884	−	4.01099i	0.313457	−	0.139560i
$827$	−37.1992	+	27.0268i	−1.29354	+	0.939813i	−0.999870	−	0.0160937i	$-0.994877\pi$
$827$	−37.1992	+	27.0268i	−1.29354	+	0.939813i	−0.293671	+	0.955907i	$0.594877\pi$
$828$	−4.43661	+	4.46024i	−0.154183	+	0.155004i
$829$	−46.1041			−1.60126			−0.800632	−	0.599157i	$-0.795503\pi$
$829$	−46.1041			−1.60126			−0.800632	+	0.599157i	$0.795503\pi$
$830$	21.3037	+	23.6602i	0.739463	+	0.821257i
$831$	0.945255	−	38.0275i	0.0327905	−	1.31916i
$832$	2.08708	−	2.31794i	0.0723566	−	0.0803601i
$833$	2.09958	−	19.9761i	0.0727460	−	0.692132i
$834$	−9.57639	−	9.06352i	−0.331603	−	0.313844i
$835$	−28.6159	−	6.08249i	−0.990293	−	0.210493i
$836$	−7.88037	+	5.72542i	−0.272548	+	0.198018i
$837$	−9.62542	+	17.8975i	−0.332703	+	0.618628i
$838$	1.11750	+	0.811912i	0.0386034	+	0.0280470i
$839$	4.53840	+	43.1800i	0.156683	+	1.49074i	0.736748	+	0.676168i	$0.236361\pi$
$839$	4.53840	+	43.1800i	0.156683	+	1.49074i	−0.580065	+	0.814570i	$0.696973\pi$
$840$	16.8015	+	2.18926i	0.579707	+	0.0755368i
$841$	2.01236	+	0.895962i	0.0693918	+	0.0308952i
$842$	18.4086	+	8.19602i	0.634401	+	0.282453i
$843$	23.1970	+	8.17983i	0.798946	+	0.281728i
$844$	−11.3526	−	12.6084i	−0.390774	−	0.433998i
$845$	5.83237	−	4.23747i	0.200640	−	0.145773i
$846$	2.95300	+	2.37834i	0.101526	+	0.0817688i
$847$	−7.78609			−0.267533
$848$	−6.93043	+	3.08563i	−0.237992	+	0.105961i
$849$	−49.8790	+	3.99222i	−1.71184	+	0.137013i
$850$	−0.221450	+	0.0470705i	−0.00759566	+	0.00161451i
$851$	1.43935	−	0.305943i	0.0493403	−	0.0104876i
$852$	2.53385	−	10.6163i	0.0868083	−	0.363710i
$853$	16.1799	+	17.9696i	0.553989	+	0.615267i	0.953475	−	0.301472i	$-0.0974781\pi$
$853$	16.1799	+	17.9696i	0.553989	+	0.615267i	−0.399486	+	0.916739i	$0.630811\pi$
$854$	−37.4383	+	27.2005i	−1.28111	+	0.930782i
$855$	21.1531	+	1.05226i	0.723422	+	0.0359866i
$856$	−1.57041	−	4.83324i	−0.0536757	−	0.165197i
$857$	12.6687	+	2.69282i	0.432755	+	0.0919849i	0.419138	−	0.907922i	$-0.362332\pi$
$857$	12.6687	+	2.69282i	0.432755	+	0.0919849i	0.0136166	+	0.999907i	$0.495666\pi$
$858$	−15.7445	+	4.68650i	−0.537510	+	0.159994i
$859$	0.880082	−	8.37342i	0.0300280	−	0.285697i	−0.969195	−	0.246293i	$-0.920787\pi$
$859$	0.880082	−	8.37342i	0.0300280	−	0.285697i	0.999223	−	0.0394041i	$-0.0125460\pi$
$860$	−3.18532	−	5.51714i	−0.108619	−	0.188133i
$861$	40.8138	−	27.5265i	1.39093	−	0.938102i
$862$	3.09070	−	5.35324i	0.105270	−	0.182332i
$863$	−24.2704	−	17.6335i	−0.826176	−	0.600252i	0.0922992	−	0.995731i	$-0.470578\pi$
$863$	−24.2704	−	17.6335i	−0.826176	−	0.600252i	−0.918475	+	0.395480i	$0.870578\pi$
$864$	−5.11287	−	0.926562i	−0.173944	−	0.0315223i
$865$	−0.311597	−	0.958996i	−0.0105946	−	0.0326068i
$866$	−39.4310	−	8.38131i	−1.33992	−	0.284809i
$867$	−4.60952	−	24.6877i	−0.156548	−	0.838440i
$868$	15.8589	+	7.06085i	0.538287	+	0.239661i
$869$	−45.2762	+	9.62375i	−1.53589	+	0.326463i
$870$	−20.4362	+	6.08300i	−0.692851	+	0.206233i
$871$	15.9553	+	17.7202i	0.540626	+	0.600426i
$872$	−2.61865	+	8.05938i	−0.0886787	+	0.272925i
$873$	−1.64717	+	10.5816i	−0.0557482	+	0.358134i
$874$	5.43467	+	3.94852i	0.183830	+	0.133561i
$875$	25.1562	−	43.5718i	0.850435	−	1.47300i
$876$	−22.4604	+	1.79769i	−0.758868	+	0.0607383i
$877$	19.2973	+	8.59169i	0.651622	+	0.290121i	0.705801	−	0.708410i	$-0.250587\pi$
$877$	19.2973	+	8.59169i	0.651622	+	0.290121i	−0.0541788	+	0.998531i	$0.517254\pi$
$878$	−29.9725	+	6.37084i	−1.01152	+	0.215006i
$879$	25.7604	−	22.0607i	0.868876	−	0.744088i
$880$	0.700463	+	6.66446i	0.0236126	+	0.224659i
$881$	−20.4622	+	14.8667i	−0.689389	+	0.500871i	−0.876459	−	0.481476i	$-0.840101\pi$
$881$	−20.4622	+	14.8667i	−0.689389	+	0.500871i	0.187070	+	0.982347i	$0.440101\pi$
$882$	−24.0615	−	29.5527i	−0.810193	−	0.995090i
$883$	−25.4741	+	18.5080i	−0.857270	+	0.622843i	−0.927141	−	0.374713i	$-0.877741\pi$
$883$	−25.4741	+	18.5080i	−0.857270	+	0.622843i	0.0698708	+	0.997556i	$0.477741\pi$
$884$	−4.50554	+	2.00599i	−0.151538	+	0.0674689i
$885$	0.210729	−	8.47762i	0.00708358	−	0.284972i
$886$	17.9490	+	7.99142i	0.603009	+	0.268477i
$887$	−12.1847	+	13.5324i	−0.409121	+	0.454375i	−0.912127	−	0.409908i	$-0.865561\pi$
$887$	−12.1847	+	13.5324i	−0.409121	+	0.454375i	0.503006	+	0.864283i	$0.332227\pi$
$888$	0.882735	+	0.835459i	0.0296226	+	0.0280362i
$889$	44.2275	−	19.6914i	1.48334	−	0.660427i
$890$	−6.58075	−	20.2535i	−0.220587	−	0.678898i
$891$	20.4342	+	18.2034i	0.684570	+	0.609837i
$892$	−8.62802	+	26.5543i	−0.288887	+	0.889104i
$893$	2.02438	−	3.50633i	0.0677433	−	0.117335i
$894$	12.3953	−	6.75142i	0.414561	−	0.225801i
$895$	6.47941	+	2.88482i	0.216583	+	0.0964288i
$896$	−0.463983	+	4.41450i	−0.0155006	+	0.147478i
$897$	6.42920	+	9.32798i	0.214665	+	0.311452i
$898$	26.0102	+	5.52864i	0.867971	+	0.184493i
$899$	−21.8461			−0.728608
$900$	−0.232987	+	0.360863i	−0.00776623	+	0.0120288i
$901$	11.9955			0.399627
$902$	14.3367	+	13.1735i	0.477361	+	0.438629i
$903$	−5.15954	+	21.6175i	−0.171699	+	0.719384i
$904$	−0.147602	+	1.40434i	−0.00490918	+	0.0467078i
$905$	−18.4369	−	31.9337i	−0.612864	−	1.06151i
$906$	−20.9145	+	1.67395i	−0.694837	+	0.0556134i
$907$	29.4961	+	6.26959i	0.979403	+	0.208178i	0.669681	−	0.742649i	$-0.266431\pi$
$907$	29.4961	+	6.26959i	0.979403	+	0.208178i	0.309722	+	0.950827i	$0.399764\pi$
$908$	22.6283	+	16.4404i	0.750946	+	0.545594i
$909$	−23.0952	+	3.72083i	−0.766020	+	0.123412i
$910$	9.42876	−	29.0187i	0.312560	−	0.961961i
$911$	−1.42248	+	2.46380i	−0.0471287	+	0.0816293i	−0.888627	−	0.458630i	$-0.848340\pi$
$911$	−1.42248	+	2.46380i	−0.0471287	+	0.0816293i	0.841499	+	0.540259i	$0.181674\pi$
$912$	−0.137877	+	5.54678i	−0.00456556	+	0.183672i
$913$	42.9683	−	9.13319i	1.42204	−	0.302264i
$914$	−13.6071	+	15.1122i	−0.450082	+	0.499866i
$915$	7.30401	+	39.1189i	0.241463	+	1.29323i
$916$	−5.14651	+	8.91402i	−0.170046	+	0.294528i
$917$	21.4061	+	65.8811i	0.706891	+	2.17559i
$918$	6.78965	+	4.62668i	0.224092	+	0.152703i
$919$	5.29603	−	16.2995i	0.174700	−	0.537671i	−0.824920	−	0.565250i	$-0.808780\pi$
$919$	5.29603	−	16.2995i	0.174700	−	0.537671i	0.999620	+	0.0275789i	$0.00877976\pi$
$920$	4.22190	−	1.87971i	0.139192	−	0.0619722i
$921$	28.6054	+	3.72733i	0.942580	+	0.122820i
$922$	−6.63535	−	2.95425i	−0.218524	−	0.0972930i
$923$	−17.9557	−	7.99441i	−0.591020	−	0.263139i
$924$	14.2068	−	18.5657i	0.467370	−	0.610766i
$925$	0.0917854	−	0.0408655i	0.00301789	−	0.00134365i
$926$	0.443332	−	1.36443i	0.0145688	−	0.0448381i
$927$	−11.5017	+	30.2023i	−0.377764	+	0.991975i
$928$	−1.72615	−	5.31255i	−0.0566637	−	0.174393i
$929$	−14.6046	+	25.2959i	−0.479162	+	0.829932i	−0.999714	−	0.0238971i	$-0.992393\pi$
$929$	−14.6046	+	25.2959i	−0.479162	+	0.829932i	0.520553	+	0.853830i	$0.325726\pi$
$930$	11.3388	−	9.71029i	0.371813	−	0.318413i
$931$	−27.2292	+	30.2411i	−0.892400	+	0.991111i
$932$	1.07500	−	0.228498i	0.0352127	−	0.00748470i
$933$	43.3429	+	26.4815i	1.41898	+	0.866964i
$934$	0.317368	−	0.549697i	0.0103846	−	0.0179866i
$935$	3.27432	−	10.0773i	0.107082	−	0.329563i
$936$	−3.33014	+	8.74466i	−0.108849	+	0.285828i
$937$	12.4310	+	9.03166i	0.406104	+	0.295051i	0.772022	−	0.635595i	$-0.219245\pi$
$937$	12.4310	+	9.03166i	0.406104	+	0.295051i	−0.365919	+	0.930647i	$0.619245\pi$
$938$	−33.1923	−	7.05525i	−1.08377	−	0.230362i
$939$	−24.1176	−	34.9916i	−0.787047	−	1.14191i
$940$	−1.39269	−	2.41221i	−0.0454245	−	0.0786776i
$941$	2.55605	−	24.3192i	0.0833249	−	0.792783i	−0.870449	−	0.492258i	$-0.836172\pi$
$941$	2.55605	−	24.3192i	0.0833249	−	0.792783i	0.953774	−	0.300525i	$-0.0971618\pi$
$942$	−24.5377	−	23.2236i	−0.799483	−	0.756666i
$943$	5.58505	−	12.2108i	0.181874	−	0.397638i
$944$	2.22163			0.0723078
$945$	−49.3785	+	12.0630i	−1.60628	+	0.392409i
$946$	−8.78986			−0.285783
$947$	−43.5830	−	9.26385i	−1.41626	−	0.301035i	−0.564700	−	0.825297i	$-0.691008\pi$
$947$	−43.5830	−	9.26385i	−1.41626	−	0.301035i	−0.851557	+	0.524262i	$0.824341\pi$
$948$	−11.3194	+	23.8130i	−0.367638	+	0.773410i
$949$	−4.24139	+	40.3541i	−0.137681	+	1.30995i
$950$	0.419012	+	0.186556i	0.0135946	+	0.00605269i
$951$	0.802057	−	32.2667i	0.0260085	−	1.04632i
$952$	3.50934	−	6.07835i	0.113738	−	0.197000i
$953$	14.9027	−	45.8657i	0.482745	−	1.48574i	−0.352475	−	0.935821i	$-0.614660\pi$
$953$	14.9027	−	45.8657i	0.482745	−	1.48574i	0.835220	−	0.549916i	$-0.185340\pi$
$954$	16.0502	−	16.1357i	0.519644	−	0.522411i
$955$	10.1721	+	31.3066i	0.329162	+	1.01306i
$956$	6.05664	−	2.69659i	0.195886	−	0.0872139i
$957$	−6.82980	+	28.6155i	−0.220776	+	0.925009i
$958$	24.5237	−	27.2363i	0.792324	−	0.879964i
$959$	−67.2720	−	29.9514i	−2.17233	−	0.967182i
$960$	3.25728	+	1.99012i	0.105128	+	0.0642308i
$961$	−14.3471	+	6.38774i	−0.462810	+	0.206056i
$962$	1.77071	−	1.28650i	0.0570900	−	0.0414783i
$963$	9.62599	+	11.8228i	0.310193	+	0.380983i
$964$	−14.8162	+	10.7646i	−0.477197	+	0.346704i
$965$	−1.51704	−	14.4336i	−0.0488352	−	0.464636i
$966$	−15.2048	−	5.36157i	−0.489205	−	0.172506i
$967$	−3.68097	+	0.782414i	−0.118372	+	0.0251607i	−0.266717	−	0.963775i	$-0.585939\pi$
$967$	−3.68097	+	0.782414i	−0.118372	+	0.0251607i	0.148345	+	0.988936i	$0.452605\pi$
$968$	−1.60244	−	0.713453i	−0.0515045	−	0.0229313i
$969$	3.76648	−	7.92365i	0.120997	−	0.254544i
$970$	3.93348	−	6.81298i	0.126296	−	0.218752i
$971$	17.0927	+	12.4186i	0.548532	+	0.398532i	0.827244	−	0.561843i	$-0.189907\pi$
$971$	17.0927	+	12.4186i	0.548532	+	0.398532i	−0.278712	+	0.960375i	$0.589907\pi$
$972$	15.3082	−	2.94248i	0.491012	−	0.0943800i
$973$	10.4420	−	32.1370i	0.334754	−	1.03027i
$974$	−1.84011	−	2.04365i	−0.0589611	−	0.0654829i
$975$	0.561799	+	0.531711i	0.0179920	+	0.0170284i
$976$	−10.1975	+	2.16755i	−0.326415	+	0.0693817i
$977$	−39.0006	−	17.3642i	−1.24774	−	0.555530i	−0.326748	−	0.945111i	$-0.605953\pi$
$977$	−39.0006	−	17.3642i	−1.24774	−	0.555530i	−0.920992	+	0.389582i	$0.872620\pi$
$978$	−36.5314	−	12.8819i	−1.16814	−	0.411917i
$979$	−28.7406	−	6.10901i	−0.918554	−	0.195245i
$980$	8.65103	+	26.6251i	0.276347	+	0.850509i
$981$	−1.39793	−	25.3839i	−0.0446324	−	0.810447i
$982$	21.2168	+	15.4149i	0.677056	+	0.491910i
$983$	−3.96032	+	6.85947i	−0.126314	+	0.218783i	−0.922246	−	0.386604i	$-0.873648\pi$
$983$	−3.96032	+	6.85947i	−0.126314	+	0.218783i	0.795932	+	0.605387i	$0.206982\pi$
$984$	10.9221	−	1.92535i	0.348185	−	0.0613779i
$985$	19.8348	+	34.3549i	0.631989	+	1.09464i
$986$	−0.923249	+	8.78413i	−0.0294023	+	0.279744i
$987$	−2.25586	+	9.45161i	−0.0718048	+	0.300848i
$988$	9.77344	+	2.07741i	0.310934	+	0.0660912i
$989$	1.87323	+	5.76521i	0.0595652	+	0.183323i
$990$	−9.17435	−	17.8881i	−0.291580	−	0.568520i
$991$	−22.4880	+	16.3385i	−0.714356	+	0.519010i	−0.884576	−	0.466396i	$-0.845552\pi$
$991$	−22.4880	+	16.3385i	−0.714356	+	0.519010i	0.170220	+	0.985406i	$0.445552\pi$
$992$	2.61690	+	2.90637i	0.0830868	+	0.0922772i
$993$	−4.39347	+	1.30775i	−0.139422	+	0.0415003i
$994$	27.3600	−	5.81554i	0.867806	−	0.184458i
$995$	−55.5779	+	11.8135i	−1.76194	+	0.374512i
$996$	10.7424	−	22.5992i	0.340387	−	0.716082i
$997$	−2.51216	+	1.11848i	−0.0795608	+	0.0354228i	−0.446131	−	0.894968i	$-0.647199\pi$
$997$	−2.51216	+	1.11848i	−0.0795608	+	0.0354228i	0.366570	+	0.930390i	$0.380532\pi$
$998$	9.88360			0.312860
$999$	−3.37420	−	1.38192i	−0.106755	−	0.0437219i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	738.2.s.b.133.6	✓	176
9.4	even	3	inner	738.2.s.b.625.6	yes	176
41.37	even	5	inner	738.2.s.b.529.6	yes	176
369.283	even	15	inner	738.2.s.b.283.6	yes	176

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
738.2.s.b.133.6	✓	176	1.1	even	1	trivial
738.2.s.b.283.6	yes	176	369.283	even	15	inner
738.2.s.b.529.6	yes	176	41.37	even	5	inner
738.2.s.b.625.6	yes	176	9.4	even	3	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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 738 = 2 \cdot 3^{2} \cdot 41 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	738.s (of order \(15\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.913545 - 0.406737i) q^{2} +(-1.25797 - 1.19060i) q^{3} +(0.669131 - 0.743145i) q^{4} +(1.47464 - 1.63776i) q^{5} +(-1.63347 - 0.576002i) q^{6} +(-0.463983 - 4.41450i) q^{7} +(0.309017 - 0.951057i) q^{8} +(0.164964 + 2.99546i) q^{9} +(0.681018 - 2.09596i) q^{10} +(-2.03463 - 2.25969i) q^{11} +(-1.72653 + 0.138188i) q^{12} +(-0.326034 + 3.10201i) q^{13} +(-2.21941 - 3.84413i) q^{14} +(-3.80496 + 0.304541i) q^{15} +(-0.104528 - 0.994522i) q^{16} +(-0.488619 + 1.50381i) q^{17} +(1.36907 + 2.66939i) q^{18} +(2.59162 - 1.88292i) q^{19} +(-0.230362 - 2.19175i) q^{20} +(-4.67221 + 6.10571i) q^{21} +(-2.77783 - 1.23677i) q^{22} +(-0.219198 + 2.08553i) q^{23} +(-1.52106 + 0.828484i) q^{24} +(0.0149664 + 0.142396i) q^{25} +(0.963854 + 2.96644i) q^{26} +(3.35886 - 3.96460i) q^{27} +(-3.59108 - 2.60907i) q^{28} +(5.46388 + 1.16138i) q^{29} +(-3.35214 + 1.82583i) q^{30} +(-3.82544 + 0.813122i) q^{31} +(-0.500000 - 0.866025i) q^{32} +(-0.130874 + 5.26504i) q^{33} +(0.165281 + 1.57254i) q^{34} +(-7.91409 - 5.74992i) q^{35} +(2.33644 + 1.88176i) q^{36} +(-0.216842 - 0.667371i) q^{37} +(1.60171 - 2.77424i) q^{38} +(4.10338 - 3.51405i) q^{39} +(-1.10191 - 1.90856i) q^{40} +(-6.06944 - 2.04008i) q^{41} +(-1.78486 + 7.47820i) q^{42} +(2.64081 - 1.17577i) q^{43} -3.04071 q^{44} +(5.14910 + 4.14706i) q^{45} +(0.648013 + 1.99438i) q^{46} +(1.15462 - 0.514069i) q^{47} +(-1.05258 + 1.37553i) q^{48} +(-12.4255 + 2.64112i) q^{49} +(0.0715901 + 0.123998i) q^{50} +(2.40510 - 1.31000i) q^{51} +(2.08708 + 2.31794i) q^{52} +(-2.34430 - 7.21500i) q^{53} +(1.45593 - 4.98801i) q^{54} -6.70117 q^{55} +(-4.34182 - 0.922882i) q^{56} +(-5.50198 - 0.716918i) q^{57} +(5.46388 - 1.16138i) q^{58} +(-0.232223 + 2.20946i) q^{59} +(-2.31970 + 3.03141i) q^{60} +(-1.08975 - 10.3683i) q^{61} +(-3.16399 + 2.29877i) q^{62} +(13.1469 - 2.11808i) q^{63} +(-0.809017 - 0.587785i) q^{64} +(4.59955 + 5.10832i) q^{65} +(2.02192 + 4.86308i) q^{66} +(5.11537 - 5.68119i) q^{67} +(0.790602 + 1.36936i) q^{68} +(2.75876 - 2.36255i) q^{69} +(-9.56858 - 2.03386i) q^{70} +(-1.94727 + 5.99309i) q^{71} +(2.89983 + 0.768758i) q^{72} +13.0090 q^{73} +(-0.469539 - 0.521476i) q^{74} +(0.150709 - 0.196948i) q^{75} +(0.334849 - 3.18587i) q^{76} +(-9.03135 + 10.0303i) q^{77} +(2.31933 - 4.87924i) q^{78} +(7.61133 - 13.1832i) q^{79} +(-1.78293 - 1.29537i) q^{80} +(-8.94557 + 0.988287i) q^{81} +(-6.37448 + 0.604955i) q^{82} +(-7.22335 + 12.5112i) q^{83} +(1.41111 + 7.55765i) q^{84} +(1.74234 + 3.01783i) q^{85} +(1.93428 - 2.14823i) q^{86} +(-5.49065 - 7.96626i) q^{87} +(-2.77783 + 1.23677i) q^{88} +(7.81762 - 5.67983i) q^{89} +(6.39070 + 1.69420i) q^{90} +13.8451 q^{91} +(1.40318 + 1.55838i) q^{92} +(5.78038 + 3.53167i) q^{93} +(0.845705 - 0.939251i) q^{94} +(0.737946 - 7.02109i) q^{95} +(-0.402102 + 1.68473i) q^{96} +(3.49168 + 0.742180i) q^{97} +(-10.2770 + 7.46669i) q^{98} +(6.43316 - 6.46743i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 176 q + 22 q^{2} + 4 q^{3} + 22 q^{4} + 2 q^{5} - 7 q^{6} - 2 q^{7} - 44 q^{8} + 4 q^{9} - 4 q^{10} + 6 q^{11} - 7 q^{12} + 8 q^{14} + 3 q^{15} + 22 q^{16} + 20 q^{17} - 7 q^{18} - 12 q^{19} + 2 q^{20}+ \cdots + 23 q^{99}+O(q^{100}) \) 176 * q + 22 * q^2 + 4 * q^3 + 22 * q^4 + 2 * q^5 - 7 * q^6 - 2 * q^7 - 44 * q^8 + 4 * q^9 - 4 * q^10 + 6 * q^11 - 7 * q^12 + 8 * q^14 + 3 * q^15 + 22 * q^16 + 20 * q^17 - 7 * q^18 - 12 * q^19 + 2 * q^20 + 32 * q^21 - 4 * q^22 + 18 * q^23 - q^24 + 24 * q^25 - 20 * q^27 + 4 * q^28 - 3 * q^29 + 3 * q^30 + 8 * q^31 - 88 * q^32 - 15 * q^33 + 5 * q^34 + 8 * q^35 - 7 * q^36 - 20 * q^37 - 4 * q^38 + 16 * q^39 - 8 * q^40 - 5 * q^41 + 84 * q^42 + 41 * q^43 + 8 * q^44 - 39 * q^45 + 24 * q^46 - 9 * q^47 - 7 * q^48 + 16 * q^49 - 96 * q^50 - 18 * q^51 + 52 * q^53 + 5 * q^54 + 20 * q^55 - 2 * q^56 - 42 * q^57 - 3 * q^58 - 28 * q^59 + 14 * q^60 + 34 * q^61 - 16 * q^62 - 50 * q^63 - 44 * q^64 - 32 * q^65 - 3 * q^66 + 36 * q^67 + 10 * q^68 - 10 * q^69 - 34 * q^70 - 34 * q^71 - q^72 + 136 * q^73 + 10 * q^74 - 59 * q^75 + 6 * q^76 + 13 * q^77 - 23 * q^78 + 6 * q^79 - 4 * q^80 + 20 * q^81 - 20 * q^82 - 6 * q^83 - q^84 - 48 * q^85 - 14 * q^86 + 4 * q^87 - 4 * q^88 - 26 * q^89 + 6 * q^90 + 16 * q^91 - 12 * q^92 - 11 * q^93 + 6 * q^94 + 7 * q^95 - 2 * q^96 - 28 * q^97 - 72 * q^98 + 23 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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