LMFDB - Embedded newform 99.2.p.a.29.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [99,2,Mod(2,99)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(99, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([5, 3]))

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

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

chi := DirichletCharacter("99.2");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 99 = 3^{2} \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	99.p (of order $30$, degree $8$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$0.790518980011$
Analytic rank:	$0$
Dimension:	$80$
Relative dimension:	$10$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			29.3
Character	$\chi$	$=$	99.29
Dual form			99.2.p.a.41.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.65764 + 0.738027i) q^{2} +(-0.00460448 - 1.73204i) q^{3} +(0.864813 - 0.960472i) q^{4} +(-0.488756 + 1.09776i) q^{5} +(1.28593 + 2.86770i) q^{6} +(1.00654 - 4.73540i) q^{7} +(0.396737 - 1.22103i) q^{8} +(-2.99996 + 0.0159503i) q^{9} -2.18041i q^{10} +(1.36897 - 3.02091i) q^{11} +(-1.66756 - 1.49347i) q^{12} +(3.04321 + 0.319854i) q^{13} +(1.82638 + 8.59243i) q^{14} +(1.90363 + 0.841493i) q^{15} +(0.513703 + 4.88755i) q^{16} +(-1.80866 + 1.31407i) q^{17} +(4.96107 - 2.24049i) q^{18} +(-4.34428 - 1.41154i) q^{19} +(0.631690 + 1.41880i) q^{20} +(-8.20657 - 1.72157i) q^{21} +(-0.0397341 + 6.01791i) q^{22} +(1.72112 - 0.993689i) q^{23} +(-2.11671 - 0.681544i) q^{24} +(2.37945 + 2.64264i) q^{25} +(-5.28060 + 1.71577i) q^{26} +(0.0414400 + 5.19599i) q^{27} +(-3.67776 - 5.06200i) q^{28} +(-1.65886 - 0.352601i) q^{29} +(-3.77657 + 0.0100397i) q^{30} +(-0.555254 + 5.28289i) q^{31} +(-3.17481 - 5.49894i) q^{32} +(-5.23866 - 2.35720i) q^{33} +(2.02828 - 3.51308i) q^{34} +(4.70641 + 3.41941i) q^{35} +(-2.57908 + 2.89517i) q^{36} +(0.344857 + 1.06136i) q^{37} +(8.24299 - 0.866373i) q^{38} +(0.539989 - 5.27245i) q^{39} +(1.14650 + 1.03231i) q^{40} +(10.3998 - 2.21054i) q^{41} +(14.8741 - 3.20293i) q^{42} +(3.28272 + 1.89528i) q^{43} +(-1.71760 - 3.92738i) q^{44} +(1.44874 - 3.30104i) q^{45} +(-2.11962 + 2.91741i) q^{46} +(2.42651 - 2.18484i) q^{47} +(8.46310 - 0.912261i) q^{48} +(-15.0161 - 6.68560i) q^{49} +(-5.89460 - 2.62445i) q^{50} +(2.28435 + 3.12662i) q^{51} +(2.93902 - 2.64630i) q^{52} +(0.749954 - 1.03222i) q^{53} +(-3.90347 - 8.58247i) q^{54} +(2.64716 + 2.97930i) q^{55} +(-5.38274 - 3.10773i) q^{56} +(-2.42485 + 7.53098i) q^{57} +(3.01001 - 0.639797i) q^{58} +(0.0234836 + 0.0211447i) q^{59} +(2.45451 - 1.10065i) q^{60} +(1.18080 - 0.124107i) q^{61} +(-2.97851 - 9.16690i) q^{62} +(-2.94405 + 14.2221i) q^{63} +(1.36926 + 0.994827i) q^{64} +(-1.83851 + 3.18440i) q^{65} +(10.4235 + 0.0411118i) q^{66} +(1.05277 + 1.82345i) q^{67} +(-0.302026 + 2.87359i) q^{68} +(-1.72904 - 2.97648i) q^{69} +(-10.3251 - 2.19467i) q^{70} +(2.26013 + 3.11080i) q^{71} +(-1.17072 + 3.66937i) q^{72} +(6.69980 - 2.17690i) q^{73} +(-1.35496 - 1.50483i) q^{74} +(4.56622 - 4.13348i) q^{75} +(-5.11273 + 2.95184i) q^{76} +(-12.9273 - 9.52329i) q^{77} +(2.99610 + 9.13833i) q^{78} +(-1.55422 - 3.49084i) q^{79} +(-5.61646 - 1.82490i) q^{80} +(8.99949 - 0.0957007i) q^{81} +(-15.6076 + 11.3396i) q^{82} +(0.759844 + 7.22943i) q^{83} +(-8.75067 + 6.39334i) q^{84} +(-0.558543 - 2.62774i) q^{85} +(-6.84032 - 0.718946i) q^{86} +(-0.603082 + 2.87484i) q^{87} +(-3.14551 - 2.87006i) q^{88} +10.2875i q^{89} +(0.0347783 + 6.54114i) q^{90} +(4.57775 - 14.0889i) q^{91} +(0.534037 - 2.51244i) q^{92} +(9.15276 + 0.937400i) q^{93} +(-2.40980 + 5.41250i) q^{94} +(3.67283 - 4.07909i) q^{95} +(-9.50979 + 5.52424i) q^{96} +(13.2506 - 5.89957i) q^{97} +29.8254 q^{98} +(-4.05866 + 9.08445i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 80 q - 15 q^{2} - 3 q^{3} + 5 q^{4} - 6 q^{5} - 15 q^{6} - 5 q^{7} - q^{9} - 3 q^{11} - 54 q^{12} - 5 q^{13} - 9 q^{14} + 5 q^{16} - 50 q^{19} - 3 q^{20} - 11 q^{22} - 42 q^{23} - 5 q^{24} - 2 q^{25} + 3 q^{27}+ \cdots + 35 q^{99}+O(q^{100}) $ 80 * q - 15 * q^2 - 3 * q^3 + 5 * q^4 - 6 * q^5 - 15 * q^6 - 5 * q^7 - q^9 - 3 * q^11 - 54 * q^12 - 5 * q^13 - 9 * q^14 + 5 * q^16 - 50 * q^19 - 3 * q^20 - 11 * q^22 - 42 * q^23 - 5 * q^24 - 2 * q^25 + 3 * q^27 - 20 * q^28 + 30 * q^29 + 50 * q^30 - 6 * q^31 + 4 * q^33 - 10 * q^34 - 17 * q^36 - 6 * q^37 + 9 * q^38 + 85 * q^39 + 15 * q^40 - 15 * q^41 + 19 * q^42 - 12 * q^45 - 40 * q^46 - 21 * q^47 + 70 * q^48 - q^49 + 60 * q^50 - 45 * q^51 - 5 * q^52 - 18 * q^55 + 90 * q^56 + 60 * q^57 - 29 * q^58 + 81 * q^59 + 43 * q^60 - 5 * q^61 + 15 * q^63 - 8 * q^64 - 39 * q^66 + 10 * q^67 + 180 * q^68 - 20 * q^69 + 30 * q^70 + 5 * q^72 - 20 * q^73 - 15 * q^74 - 30 * q^75 + 33 * q^77 + 152 * q^78 - 5 * q^79 - 73 * q^81 - 2 * q^82 - 60 * q^83 - 135 * q^84 - 5 * q^85 - 48 * q^86 - 59 * q^88 - 70 * q^90 + 52 * q^91 - 213 * q^92 - 34 * q^93 - 5 * q^94 - 135 * q^95 - 145 * q^96 + 27 * q^97 + 35 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/99\mathbb{Z}\right)^\times$.

$n$	$46$	$56$
$\chi(n)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{1}{6}\right)$

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 $

$2$	−1.65764	+	0.738027i	−1.17213	+	0.521864i	−0.898071	−	0.439850i	$-0.855032\pi$
$2$	−1.65764	+	0.738027i	−1.17213	+	0.521864i	−0.274055	+	0.961714i	$0.588365\pi$
$3$	−0.00460448	−	1.73204i	−0.00265840	−	0.999996i
$3$	−0.00460448	−	1.73204i	−0.00265840	−	0.999996i
$4$	0.864813	−	0.960472i	0.432407	−	0.480236i
$5$	−0.488756	+	1.09776i	−0.218579	+	0.490935i	−0.989239	−	0.146311i	$-0.953260\pi$
$5$	−0.488756	+	1.09776i	−0.218579	+	0.490935i	0.770660	+	0.637246i	$0.219927\pi$
$6$	1.28593	+	2.86770i	0.524978	+	1.17073i
$7$	1.00654	−	4.73540i	0.380437	−	1.78981i	−0.204641	−	0.978837i	$-0.565603\pi$
$7$	1.00654	−	4.73540i	0.380437	−	1.78981i	0.585077	−	0.810977i	$-0.301064\pi$
$8$	0.396737	−	1.22103i	0.140268	−	0.431700i
$9$	−2.99996	+	0.0159503i	−0.999986	+	0.00531678i
$10$		−	2.18041i		−	0.689506i
$11$	1.36897	−	3.02091i	0.412759	−	0.910840i
$11$	1.36897	−	3.02091i	0.412759	−	0.910840i
$12$	−1.66756	−	1.49347i	−0.481384	−	0.431128i
$13$	3.04321	+	0.319854i	0.844034	+	0.0887116i	0.516668	−	0.856186i	$-0.327172\pi$
$13$	3.04321	+	0.319854i	0.844034	+	0.0887116i	0.327366	+	0.944897i	$0.393839\pi$
$14$	1.82638	+	8.59243i	0.488120	+	2.29642i
$15$	1.90363	+	0.841493i	0.491515	+	0.217273i
$16$	0.513703	+	4.88755i	0.128426	+	1.22189i
$17$	−1.80866	+	1.31407i	−0.438664	+	0.318708i	−0.785104	−	0.619364i	$-0.787390\pi$
$17$	−1.80866	+	1.31407i	−0.438664	+	0.318708i	0.346440	+	0.938072i	$0.387390\pi$
$18$	4.96107	−	2.24049i	1.16933	−	0.528089i
$19$	−4.34428	−	1.41154i	−0.996645	−	0.323830i	−0.235121	−	0.971966i	$-0.575549\pi$
$19$	−4.34428	−	1.41154i	−0.996645	−	0.323830i	−0.761524	+	0.648136i	$0.775549\pi$
$20$	0.631690	+	1.41880i	0.141250	+	0.317253i
$21$	−8.20657	−	1.72157i	−1.79082	−	0.375677i
$22$	−0.0397341	+	6.01791i	−0.00847133	+	1.28302i
$23$	1.72112	−	0.993689i	0.358878	−	0.207199i	−0.309710	−	0.950831i	$-0.600232\pi$
$23$	1.72112	−	0.993689i	0.358878	−	0.207199i	0.668589	+	0.743632i	$0.266899\pi$
$24$	−2.11671	−	0.681544i	−0.432071	−	0.139120i
$25$	2.37945	+	2.64264i	0.475890	+	0.528529i
$26$	−5.28060	+	1.71577i	−1.03561	+	0.336490i
$27$	0.0414400	+	5.19599i	0.00797512	+	0.999968i
$28$	−3.67776	−	5.06200i	−0.695030	−	0.956627i
$29$	−1.65886	−	0.352601i	−0.308042	−	0.0654763i	0.0512972	−	0.998683i	$-0.483664\pi$
$29$	−1.65886	−	0.352601i	−0.308042	−	0.0654763i	−0.359339	+	0.933207i	$0.616998\pi$
$30$	−3.77657	+	0.0100397i	−0.689504	+	0.00183298i
$31$	−0.555254	+	5.28289i	−0.0997266	+	0.948835i	0.824209	+	0.566286i	$0.191620\pi$
$31$	−0.555254	+	5.28289i	−0.0997266	+	0.948835i	−0.923935	+	0.382549i	$0.875046\pi$
$32$	−3.17481	−	5.49894i	−0.561233	−	0.972084i
$33$	−5.23866	−	2.35720i	−0.911934	−	0.410337i
$34$	2.02828	−	3.51308i	0.347847	−	0.602489i
$35$	4.70641	+	3.41941i	0.795528	+	0.577985i
$36$	−2.57908	+	2.89517i	−0.429847	+	0.482528i
$37$	0.344857	+	1.06136i	0.0566941	+	0.174486i	0.975394	−	0.220471i	$-0.0707594\pi$
$37$	0.344857	+	1.06136i	0.0566941	+	0.174486i	−0.918699	+	0.394957i	$0.870759\pi$
$38$	8.24299	−	0.866373i	1.33719	−	0.140544i
$39$	0.539989	−	5.27245i	0.0864675	−	0.844267i
$40$	1.14650	+	1.03231i	0.181277	+	0.163223i
$41$	10.3998	−	2.21054i	1.62417	−	0.345228i	0.696191	−	0.717857i	$-0.254877\pi$
$41$	10.3998	−	2.21054i	1.62417	−	0.345228i	0.927981	+	0.372628i	$0.121543\pi$
$42$	14.8741	−	3.20293i	2.29512	−	0.494223i
$43$	3.28272	+	1.89528i	0.500609	+	0.289027i	0.728965	−	0.684551i	$-0.240002\pi$
$43$	3.28272	+	1.89528i	0.500609	+	0.289027i	−0.228356	+	0.973578i	$0.573335\pi$
$44$	−1.71760	−	3.92738i	−0.258938	−	0.592075i
$45$	1.44874	−	3.30104i	0.215965	−	0.492091i
$46$	−2.11962	+	2.91741i	−0.312521	+	0.430149i
$47$	2.42651	−	2.18484i	0.353943	−	0.318692i	−0.472909	−	0.881111i	$-0.656796\pi$
$47$	2.42651	−	2.18484i	0.353943	−	0.318692i	0.826852	+	0.562420i	$0.190129\pi$
$48$	8.46310	−	0.912261i	1.22154	−	0.131673i
$49$	−15.0161	−	6.68560i	−2.14516	−	0.955086i
$50$	−5.89460	−	2.62445i	−0.833623	−	0.371153i
$51$	2.28435	+	3.12662i	0.319873	+	0.437815i
$52$	2.93902	−	2.64630i	0.407569	−	0.366976i
$53$	0.749954	−	1.03222i	0.103014	−	0.141787i	−0.754398	−	0.656417i	$-0.772071\pi$
$53$	0.749954	−	1.03222i	0.103014	−	0.141787i	0.857412	+	0.514631i	$0.172071\pi$
$54$	−3.90347	−	8.58247i	−0.531195	−	1.16793i
$55$	2.64716	+	2.97930i	0.356943	+	0.401728i
$56$	−5.38274	−	3.10773i	−0.719299	−	0.415288i
$57$	−2.42485	+	7.53098i	−0.321179	+	0.997503i
$58$	3.01001	−	0.639797i	0.395233	−	0.0840095i
$59$	0.0234836	+	0.0211447i	0.00305730	+	0.00275281i	0.670658	−	0.741767i	$-0.266012\pi$
$59$	0.0234836	+	0.0211447i	0.00305730	+	0.00275281i	−0.667601	+	0.744520i	$0.732679\pi$
$60$	2.45451	−	1.10065i	0.316876	−	0.142093i
$61$	1.18080	−	0.124107i	0.151186	−	0.0158903i	−0.0286330	−	0.999590i	$-0.509115\pi$
$61$	1.18080	−	0.124107i	0.151186	−	0.0158903i	0.179819	+	0.983700i	$0.442449\pi$
$62$	−2.97851	−	9.16690i	−0.378271	−	1.16420i
$63$	−2.94405	+	14.2221i	−0.370915	+	1.79181i
$64$	1.36926	+	0.994827i	0.171158	+	0.124353i
$65$	−1.83851	+	3.18440i	−0.228039	+	0.394976i
$66$	10.4235	+	0.0411118i	1.28304	+	0.00506051i
$67$	1.05277	+	1.82345i	0.128617	+	0.222770i	0.923141	−	0.384462i	$-0.125613\pi$
$67$	1.05277	+	1.82345i	0.128617	+	0.222770i	−0.794524	+	0.607232i	$0.792280\pi$
$68$	−0.302026	+	2.87359i	−0.0366261	+	0.348474i
$69$	−1.72904	−	2.97648i	−0.208152	−	0.358326i
$70$	−10.3251	−	2.19467i	−1.23409	−	0.262314i
$71$	2.26013	+	3.11080i	0.268228	+	0.369184i	0.921790	−	0.387688i	$-0.126726\pi$
$71$	2.26013	+	3.11080i	0.268228	+	0.369184i	−0.653563	+	0.756873i	$0.726726\pi$
$72$	−1.17072	+	3.66937i	−0.137971	+	0.432439i
$73$	6.69980	−	2.17690i	0.784152	−	0.254786i	0.110540	−	0.993872i	$-0.464742\pi$
$73$	6.69980	−	2.17690i	0.784152	−	0.254786i	0.673612	+	0.739085i	$0.264742\pi$
$74$	−1.35496	−	1.50483i	−0.157511	−	0.174934i
$75$	4.56622	−	4.13348i	0.527262	−	0.477293i
$76$	−5.11273	+	2.95184i	−0.586471	+	0.338599i
$77$	−12.9273	−	9.52329i	−1.47321	−	1.08528i
$78$	2.99610	+	9.13833i	0.339242	+	1.03471i
$79$	−1.55422	−	3.49084i	−0.174863	−	0.392750i	0.804758	−	0.593603i	$-0.202295\pi$
$79$	−1.55422	−	3.49084i	−0.174863	−	0.392750i	−0.979621	+	0.200854i	$0.935628\pi$
$80$	−5.61646	−	1.82490i	−0.627940	−	0.204030i
$81$	8.99949	−	0.0957007i	0.999943	−	0.0106334i
$82$	−15.6076	+	11.3396i	−1.72357	+	1.25225i
$83$	0.759844	+	7.22943i	0.0834037	+	0.793533i	0.953650	+	0.300917i	$0.0972927\pi$
$83$	0.759844	+	7.22943i	0.0834037	+	0.793533i	−0.870247	+	0.492616i	$0.836041\pi$
$84$	−8.75067	+	6.39334i	−0.954776	+	0.697571i
$85$	−0.558543	−	2.62774i	−0.0605825	−	0.285018i
$86$	−6.84032	−	0.718946i	−0.737610	−	0.0775260i
$87$	−0.603082	+	2.87484i	−0.0646572	+	0.308215i
$88$	−3.14551	−	2.87006i	−0.335313	−	0.305950i
$89$			10.2875i			1.09048i	0.838281	+	0.545238i	$0.183561\pi$
$89$			10.2875i			1.09048i	−0.838281	+	0.545238i	$0.816439\pi$
$90$	0.0347783	+	6.54114i	0.00366595	+	0.689497i
$91$	4.57775	−	14.0889i	0.479879	−	1.47692i
$92$	0.534037	−	2.51244i	0.0556772	−	0.261940i
$93$	9.15276	+	0.937400i	0.949097	+	0.0972038i
$94$	−2.40980	+	5.41250i	−0.248552	+	0.558257i
$95$	3.67283	−	4.07909i	0.376825	−	0.418506i
$96$	−9.50979	+	5.52424i	−0.970589	+	0.563815i
$97$	13.2506	−	5.89957i	1.34540	−	0.599010i	0.397506	−	0.917600i	$-0.369876\pi$
$97$	13.2506	−	5.89957i	1.34540	−	0.599010i	0.947893	+	0.318589i	$0.103209\pi$
$98$	29.8254			3.01282
$99$	−4.05866	+	9.08445i	−0.407911	+	0.913022i
$100$	4.59597			0.459597
$101$	−14.6950	+	6.54265i	−1.46221	+	0.651018i	−0.974987	−	0.222260i	$-0.928657\pi$
$101$	−14.6950	+	6.54265i	−1.46221	+	0.651018i	−0.487222	+	0.873278i	$0.661990\pi$
$102$	−6.09415	−	3.49689i	−0.603411	−	0.346244i
$103$	−1.39257	+	1.54661i	−0.137214	+	0.152392i	−0.807835	−	0.589408i	$-0.799361\pi$
$103$	−1.39257	+	1.54661i	−0.137214	+	0.152392i	0.670621	+	0.741800i	$0.266028\pi$
$104$	1.59791	−	3.58896i	0.156688	−	0.351926i
$105$	5.90089	−	8.16745i	0.575868	−	0.797062i
$106$	−0.481342	+	2.26454i	−0.0467521	+	0.219951i
$107$	−0.129361	+	0.398133i	−0.0125058	+	0.0384889i	−0.957115	−	0.289709i	$-0.906441\pi$
$107$	−0.129361	+	0.398133i	−0.0125058	+	0.0384889i	0.944609	+	0.328198i	$0.106441\pi$
$108$	5.02644	+	4.45376i	0.483669	+	0.428563i
$109$			14.6788i			1.40597i	0.711205	+	0.702985i	$0.248150\pi$
$109$			14.6788i			1.40597i	−0.711205	+	0.702985i	$0.751850\pi$
$110$	−6.58684	−	2.98491i	−0.628030	−	0.284600i
$111$	1.83673	−	0.602194i	0.174335	−	0.0571577i
$112$	23.6616	+	2.48694i	2.23581	+	0.234993i
$113$	−0.664620	−	3.12679i	−0.0625222	−	0.294144i	0.935767	−	0.352620i	$-0.114709\pi$
$113$	−0.664620	−	3.12679i	−0.0625222	−	0.294144i	−0.998289	+	0.0584761i	$0.981376\pi$
$114$	−1.53855	−	14.2732i	−0.144099	−	1.33681i
$115$	0.249629	+	2.37506i	0.0232780	+	0.221475i
$116$	−1.77326	+	1.28835i	−0.164643	+	0.119620i
$117$	−9.13460	−	0.911009i	−0.844494	−	0.0842228i
$118$	−0.0545326	−	0.0177187i	−0.00502013	−	0.00163114i
$119$	4.40215	+	9.88738i	0.403544	+	0.906375i
$120$	1.78273	−	1.99054i	0.162740	−	0.181710i
$121$	−7.25185	−	8.27107i	−0.659259	−	0.751916i
$122$	−1.86575	+	1.07719i	−0.168917	+	0.0975241i
$123$	−3.87664	−	18.0027i	−0.349545	−	1.62325i
$124$	4.59388	+	5.10202i	0.412543	+	0.458175i
$125$	−9.77817	+	3.17712i	−0.874587	+	0.284170i
$126$	−5.61611	−	25.7478i	−0.500323	−	2.29380i
$127$	−13.1088	−	18.0428i	−1.16322	−	1.60104i	−0.698567	−	0.715545i	$-0.746179\pi$
$127$	−13.1088	−	18.0428i	−1.16322	−	1.60104i	−0.464654	−	0.885492i	$-0.653821\pi$
$128$	9.41780	+	2.00181i	0.832423	+	0.176937i
$129$	3.26759	−	5.69454i	0.287695	−	0.501376i
$130$	0.697414	−	6.63545i	0.0611672	−	0.581967i
$131$	7.74960	+	13.4227i	0.677086	+	1.17275i	0.975855	+	0.218421i	$0.0700907\pi$
$131$	7.74960	+	13.4227i	0.677086	+	1.17275i	−0.298769	+	0.954326i	$0.596576\pi$
$132$	−6.79450	+	2.99305i	−0.591385	+	0.260512i
$133$	−11.0569	+	19.1511i	−0.958756	+	1.66061i
$134$	−3.09087	−	2.24565i	−0.267011	−	0.193995i
$135$	−5.72423	−	2.49408i	−0.492663	−	0.214656i
$136$	0.886955	+	2.72977i	0.0760557	+	0.234075i
$137$	17.0469	−	1.79170i	1.45641	−	0.153075i	0.657015	−	0.753878i	$-0.271819\pi$
$137$	17.0469	−	1.79170i	1.45641	−	0.153075i	0.799397	+	0.600803i	$0.205152\pi$
$138$	5.06284	+	3.65785i	0.430978	+	0.311377i
$139$	7.70480	+	6.93744i	0.653513	+	0.588426i	0.927734	−	0.373241i	$-0.121753\pi$
$139$	7.70480	+	6.93744i	0.653513	+	0.588426i	−0.274222	+	0.961667i	$0.588420\pi$
$140$	7.35441	−	1.56323i	0.621561	−	0.132117i
$141$	−3.79541	−	4.19277i	−0.319632	−	0.353095i
$142$	−6.04233	−	3.48854i	−0.507061	−	0.292752i
$143$	5.13231	−	8.75541i	0.429185	−	0.732164i
$144$	−1.61904	−	14.6543i	−0.134920	−	1.22119i
$145$	1.19785	−	1.64870i	0.0994759	−	0.136917i
$146$	−9.49922	+	8.55313i	−0.786161	+	0.707862i
$147$	−11.5106	+	26.0394i	−0.949380	+	2.14769i
$148$	1.31764	+	0.586653i	0.108310	+	0.0482225i
$149$	−0.0369600	−	0.0164557i	−0.00302788	−	0.00134810i	0.405222	−	0.914218i	$-0.367194\pi$
$149$	−0.0369600	−	0.0164557i	−0.00302788	−	0.00134810i	−0.408250	+	0.912870i	$0.633861\pi$
$150$	−4.51852	+	10.2218i	−0.368935	+	0.834607i
$151$	−2.04486	+	1.84120i	−0.166408	+	0.149834i	−0.748127	−	0.663555i	$-0.769047\pi$
$151$	−2.04486	+	1.84120i	−0.166408	+	0.149834i	0.581719	+	0.813390i	$0.302380\pi$
$152$	−3.44707	+	4.74449i	−0.279594	+	0.384829i
$153$	5.40493	−	3.97099i	0.436963	−	0.321036i
$154$	28.4573	+	6.24544i	2.29315	+	0.503272i
$155$	−5.52799	−	3.19159i	−0.444019	−	0.256354i
$156$	−4.59705	−	5.07833i	−0.368059	−	0.406592i
$157$	−2.06376	+	0.438666i	−0.164706	+	0.0350094i	−0.289527	−	0.957170i	$-0.593498\pi$
$157$	−2.06376	+	0.438666i	−0.164706	+	0.0350094i	0.124820	+	0.992179i	$0.460165\pi$
$158$	5.15266	+	4.63948i	0.409924	+	0.369097i
$159$	−1.79131	−	1.29420i	−0.142060	−	0.102637i
$160$	7.58825	−	0.797557i	0.599904	−	0.0630525i
$161$	−2.97314	−	9.15039i	−0.234316	−	0.721152i
$162$	−14.8473	+	6.80051i	−1.16651	+	0.534298i
$163$	−11.8085	−	8.57941i	−0.924917	−	0.671991i	0.0198264	−	0.999803i	$-0.493689\pi$
$163$	−11.8085	−	8.57941i	−0.924917	−	0.671991i	−0.944743	+	0.327812i	$0.893689\pi$
$164$	6.87070	−	11.9004i	0.536512	−	0.929265i
$165$	5.14809	−	4.59872i	0.400778	−	0.358010i
$166$	−6.59506	−	11.4230i	−0.511876	−	0.886596i
$167$	0.0932678	−	0.887384i	0.00721728	−	0.0686678i	−0.990320	−	0.138800i	$-0.955675\pi$
$167$	0.0932678	−	0.887384i	0.00721728	−	0.0686678i	0.997538	+	0.0701322i	$0.0223421\pi$
$168$	−5.35794	+	9.33746i	−0.413374	+	0.720401i
$169$	−3.55710	−	0.756085i	−0.273623	−	0.0581604i
$170$	2.86520	+	3.94362i	0.219751	+	0.302461i
$171$	13.0552	+	4.16527i	0.998353	+	0.318526i
$172$	4.65930	−	1.51390i	0.355268	−	0.115434i
$173$	−8.86427	−	9.84476i	−0.673938	−	0.748484i	0.305065	−	0.952332i	$-0.401322\pi$
$173$	−8.86427	−	9.84476i	−0.673938	−	0.748484i	−0.979003	+	0.203848i	$0.934655\pi$
$174$	−1.12202	−	5.21052i	−0.0850598	−	0.395009i
$175$	14.9090	−	8.60772i	1.12701	−	0.650682i
$176$	15.4681	+	5.13906i	1.16595	+	0.387371i
$177$	0.0365155	−	0.0407720i	0.00274467	−	0.00306461i
$178$	−7.59248	−	17.0530i	−0.569080	−	1.27817i
$179$	19.1587	+	6.22502i	1.43199	+	0.465280i	0.919389	−	0.393350i	$-0.128684\pi$
$179$	19.1587	+	6.22502i	1.43199	+	0.465280i	0.512596	+	0.858630i	$0.328684\pi$
$180$	−1.91767	−	4.24626i	−0.142935	−	0.316498i
$181$	3.63758	−	2.64286i	0.270379	−	0.196442i	−0.444331	−	0.895863i	$-0.646559\pi$
$181$	3.63758	−	2.64286i	0.270379	−	0.196442i	0.714710	+	0.699421i	$0.246559\pi$
$182$	2.80973	+	26.7328i	0.208271	+	1.98156i
$183$	−0.220396	−	2.04463i	−0.0162922	−	0.151143i
$184$	−0.530493	−	2.49578i	−0.0391085	−	0.183991i
$185$	−1.33367	−	0.140175i	−0.0980537	−	0.0103059i
$186$	−15.8638	+	5.20112i	−1.16319	+	0.381364i
$187$	1.49369	+	7.26271i	0.109229	+	0.531102i
$188$		−	4.22008i		−	0.307781i
$189$	24.6468	+	5.03374i	1.79279	+	0.366151i
$190$	−3.07774	+	9.47231i	−0.223283	+	0.687193i
$191$	3.69541	−	17.3855i	0.267390	−	1.25797i	−0.615403	−	0.788212i	$-0.711007\pi$
$191$	3.69541	−	17.3855i	0.267390	−	1.25797i	0.882794	−	0.469761i	$-0.155660\pi$
$192$	1.71678	−	2.37620i	0.123898	−	0.171488i
$193$	2.50508	−	5.62649i	0.180319	−	0.405004i	−0.800659	−	0.599120i	$-0.795517\pi$
$193$	2.50508	−	5.62649i	0.180319	−	0.405004i	0.980979	+	0.194116i	$0.0621839\pi$
$194$	−17.6107	+	19.5587i	−1.26438	+	1.40423i
$195$	5.52398	+	3.16972i	0.395581	+	0.226989i
$196$	−19.4075	+	8.64076i	−1.38625	+	0.617197i
$197$	−22.5100			−1.60377			−0.801886	−	0.597477i	$-0.796170\pi$
$197$	−22.5100			−1.60377			−0.801886	+	0.597477i	$0.796170\pi$
$198$	0.0232127	−	18.0541i	0.00164966	−	1.28305i
$199$	9.30680			0.659742			0.329871	−	0.944026i	$-0.392995\pi$
$199$	9.30680			0.659742			0.329871	+	0.944026i	$0.392995\pi$
$200$	4.17077	−	1.85695i	0.294918	−	0.131306i
$201$	3.15346	−	1.83184i	0.222428	−	0.129208i
$202$	19.5304	−	21.6907i	1.37415	−	1.52615i
$203$	−3.33941	+	7.50044i	−0.234381	+	0.526428i
$204$	4.97857	+	0.509891i	0.348570	+	0.0356995i
$205$	−2.65630	+	12.4969i	−0.185524	+	0.872823i
$206$	1.16694	−	3.59147i	0.0813046	−	0.250230i
$207$	−5.14744	+	3.00848i	−0.357772	+	0.209104i
$208$			15.0382i			1.04271i
$209$	−10.2113	+	11.1913i	−0.706332	+	0.774121i
$210$	−3.75373	+	17.8937i	−0.259032	+	1.23478i
$211$	−13.9344	−	1.46456i	−0.959282	−	0.100825i	−0.388073	−	0.921629i	$-0.626859\pi$
$211$	−13.9344	−	1.46456i	−0.959282	−	0.100825i	−0.571210	+	0.820804i	$0.693526\pi$
$212$	−0.342852	−	1.61299i	−0.0235471	−	0.110781i
$213$	5.37764	−	3.92897i	0.368470	−	0.269208i
$214$	−0.0793990	−	0.755431i	−0.00542761	−	0.0516402i
$215$	−3.68502	+	2.67732i	−0.251316	+	0.182592i
$216$	6.36090	+	2.01084i	0.432805	+	0.136820i
$217$	24.4577	+	7.94680i	1.66030	+	0.539464i
$218$	−10.8333	−	24.3320i	−0.733725	−	1.64797i
$219$	−3.80133	−	11.5943i	−0.256870	−	0.783472i
$220$	5.15083	+	0.0340091i	0.347269	+	0.00229289i
$221$	−5.92443	+	3.42047i	−0.398520	+	0.230086i
$222$	−2.60020	+	2.35378i	−0.174514	+	0.157975i
$223$	−10.7949	−	11.9890i	−0.722881	−	0.802841i	0.263960	−	0.964534i	$-0.414971\pi$
$223$	−10.7949	−	11.9890i	−0.722881	−	0.802841i	−0.986841	+	0.161693i	$0.948305\pi$
$224$	−29.2353	+	9.49912i	−1.95336	+	0.634686i
$225$	−7.18039	−	7.88987i	−0.478693	−	0.525991i
$226$	3.40936	+	4.69258i	0.226787	+	0.312146i
$227$	−14.3933	−	3.05940i	−0.955320	−	0.203060i	−0.296224	−	0.955118i	$-0.595728\pi$
$227$	−14.3933	−	3.05940i	−0.955320	−	0.203060i	−0.659096	+	0.752059i	$0.729061\pi$
$228$	5.13626	+	8.84189i	0.340157	+	0.585569i
$229$	−2.32043	+	22.0774i	−0.153338	+	1.45892i	0.599323	+	0.800507i	$0.295436\pi$
$229$	−2.32043	+	22.0774i	−0.153338	+	1.45892i	−0.752661	+	0.658408i	$0.771230\pi$
$230$	−2.16665	−	3.75275i	−0.142865	−	0.247449i
$231$	−16.4352	+	22.4346i	−1.08136	+	1.47609i
$232$	−1.08867	+	1.88562i	−0.0714744	+	0.123797i
$233$	−4.18134	−	3.03792i	−0.273929	−	0.199021i	0.442336	−	0.896849i	$-0.354150\pi$
$233$	−4.18134	−	3.03792i	−0.273929	−	0.199021i	−0.716265	+	0.697828i	$0.754150\pi$
$234$	15.8142	−	5.23146i	1.03381	−	0.341991i
$235$	1.21247	+	3.73159i	0.0790927	+	0.243422i
$236$	0.0406178	−	0.00426911i	0.00264400	−	0.000277895i
$237$	−6.03913	+	2.70805i	−0.392283	+	0.175907i
$238$	−14.5943	−	13.1408i	−0.946009	−	0.851790i
$239$	−13.3666	+	2.84115i	−0.864612	+	0.183779i	−0.618809	−	0.785541i	$-0.712385\pi$
$239$	−13.3666	+	2.84115i	−0.864612	+	0.183779i	−0.245802	+	0.969320i	$0.579051\pi$
$240$	−3.13495	+	9.73637i	−0.202360	+	0.628480i
$241$	6.10765	+	3.52625i	0.393428	+	0.227146i	0.683645	−	0.729815i	$-0.260394\pi$
$241$	6.10765	+	3.52625i	0.393428	+	0.227146i	−0.290216	+	0.956961i	$0.593727\pi$
$242$	18.1252	+	8.35837i	1.16513	+	0.537296i
$243$	−0.207196	−	15.5871i	−0.0132916	−	0.999912i
$244$	0.901971	−	1.24146i	0.0577428	−	0.0794761i
$245$	14.6784	−	13.2165i	0.937771	−	0.844373i
$246$	19.7125	+	26.9809i	1.25683	+	1.72024i
$247$	−12.7691	−	5.68515i	−0.812476	−	0.361737i
$248$	6.23028	+	2.77390i	0.395623	+	0.176143i
$249$	12.5182	−	1.34937i	0.793309	−	0.0855129i
$250$	13.8639	−	12.4831i	0.876827	−	0.789499i
$251$	−3.95496	+	5.44354i	−0.249635	+	0.343593i	−0.915383	−	0.402583i	$-0.868112\pi$
$251$	−3.95496	+	5.44354i	−0.249635	+	0.343593i	0.665748	+	0.746176i	$0.268112\pi$
$252$	11.1139	+	15.1271i	0.700107	+	0.952918i
$253$	−0.645692	−	6.55969i	−0.0405943	−	0.412404i
$254$	35.0457	+	20.2337i	2.19897	+	1.26957i
$255$	−4.54879	+	0.979521i	−0.284856	+	0.0613400i
$256$	−20.3997	+	4.33609i	−1.27498	+	0.271006i
$257$	10.5166	+	9.46922i	0.656009	+	0.590673i	0.928431	−	0.371504i	$-0.121158\pi$
$257$	10.5166	+	9.46922i	0.656009	+	0.590673i	−0.272422	+	0.962178i	$0.587825\pi$
$258$	−1.21375	+	11.8510i	−0.0755648	+	0.737814i
$259$	5.37308	−	0.564733i	0.333867	−	0.0350908i
$260$	1.46856	+	4.51975i	0.0910760	+	0.280303i
$261$	4.98212	+	1.03133i	0.308385	+	0.0638376i
$262$	−22.7523	−	16.5305i	−1.40564	−	1.02126i
$263$	3.47292	−	6.01527i	0.214149	−	0.370917i	−0.738860	−	0.673859i	$-0.764635\pi$
$263$	3.47292	−	6.01527i	0.214149	−	0.370917i	0.953009	+	0.302942i	$0.0979688\pi$
$264$	−4.95659	+	5.46138i	−0.305057	+	0.336125i
$265$	0.766593	+	1.32778i	0.0470914	+	0.0815648i
$266$	4.19428	−	39.9059i	0.257168	−	2.44679i
$267$	17.8185	−	0.0473687i	1.09047	−	0.00289892i
$268$	2.66183	+	0.565789i	0.162597	+	0.0345611i
$269$	4.05850	+	5.58605i	0.247451	+	0.340587i	0.914617	−	0.404322i	$-0.132493\pi$
$269$	4.05850	+	5.58605i	0.247451	+	0.340587i	−0.667165	+	0.744910i	$0.732493\pi$
$270$	11.3294	−	0.0903561i	0.689485	−	0.00549890i
$271$	−12.9581	+	4.21033i	−0.787146	+	0.255759i	−0.674888	−	0.737920i	$-0.735808\pi$
$271$	−12.9581	+	4.21033i	−0.787146	+	0.255759i	−0.112258	+	0.993679i	$0.535808\pi$
$272$	−7.35168	−	8.16487i	−0.445761	−	0.495068i
$273$	−24.4236	−	7.86400i	−1.47819	−	0.475951i
$274$	−26.9352	+	15.5510i	−1.62721	+	0.939473i
$275$	11.2406	−	3.57041i	0.677833	−	0.215304i
$276$	−4.35413	−	0.913407i	−0.262088	−	0.0549806i
$277$	−4.74062	−	10.6476i	−0.284836	−	0.639753i	0.713294	−	0.700864i	$-0.247202\pi$
$277$	−4.74062	−	10.6476i	−0.284836	−	0.639753i	−0.998131	+	0.0611112i	$0.980536\pi$
$278$	−17.8918	−	5.81339i	−1.07308	−	0.348664i
$279$	1.58147	−	15.8573i	0.0946804	−	0.949352i
$280$	6.04241	−	4.39007i	0.361103	−	0.262357i
$281$	−2.28295	−	21.7209i	−0.136190	−	1.29576i	−0.822632	−	0.568574i	$-0.807495\pi$
$281$	−2.28295	−	21.7209i	−0.136190	−	1.29576i	0.686443	−	0.727184i	$-0.259171\pi$
$282$	9.38579	+	4.14896i	0.558916	+	0.247067i
$283$	4.88066	+	22.9617i	0.290125	+	1.36493i	0.845786	+	0.533523i	$0.179132\pi$
$283$	4.88066	+	22.9617i	0.290125	+	1.36493i	−0.555661	+	0.831409i	$0.687535\pi$
$284$	4.94243	+	0.519470i	0.293279	+	0.0308249i
$285$	−7.08209	−	6.34273i	−0.419507	−	0.375711i
$286$	−2.04577	+	18.3011i	−0.120969	+	1.08216i
$287$		−	51.4721i		−	3.03830i
$288$	9.61202	+	16.4459i	0.566393	+	0.969086i
$289$	−3.70882	+	11.4146i	−0.218166	+	0.671445i
$290$	−0.768814	+	3.61699i	−0.0451463	+	0.212397i
$291$	−10.2793	−	22.9235i	−0.602585	−	1.34380i
$292$	3.70322	−	8.31758i	0.216715	−	0.486749i
$293$	1.13529	−	1.26087i	0.0663243	−	0.0736606i	−0.709069	−	0.705139i	$-0.750885\pi$
$293$	1.13529	−	1.26087i	0.0663243	−	0.0736606i	0.775394	+	0.631478i	$0.217551\pi$
$294$	−0.137331	−	51.6589i	−0.00800928	−	3.01281i
$295$	−0.0346897	+	0.0154448i	−0.00201971	+	0.000899233i
$296$	1.43277			0.0832781
$297$	15.7534	+	6.98795i	0.914103	+	0.405482i
$298$	0.0734110			0.00425258
$299$	5.55557	−	2.47350i	0.321287	−	0.143046i
$300$	−0.0211620	−	7.96042i	−0.00122179	−	0.459595i
$301$	12.2791	−	13.6373i	0.707755	−	0.786042i
$302$	2.03077	−	4.56119i	0.116858	−	0.262467i
$303$	11.3998	+	25.4223i	0.654903	+	1.46047i
$304$	4.66732	−	21.9580i	0.267689	−	1.25938i
$305$	−0.440884	+	1.35690i	−0.0252449	+	0.0776959i
$306$	−6.02872	+	10.5714i	−0.344639	+	0.604330i
$307$		−	2.35281i		−	0.134282i	−0.997743	−	0.0671410i	$-0.978612\pi$
$307$		−	2.35281i		−	0.134282i	0.997743	−	0.0671410i	$-0.0213877\pi$
$308$	−20.3266	+	4.18047i	−1.15821	+	0.238205i
$309$	2.68521	+	2.40488i	0.152756	+	0.136809i
$310$	11.5189	+	1.21068i	0.654228	+	0.0687621i
$311$	−2.20518	−	10.3746i	−0.125044	−	0.588288i	−0.995395	−	0.0958557i	$-0.969441\pi$
$311$	−2.20518	−	10.3746i	−0.125044	−	0.588288i	0.870351	−	0.492432i	$-0.163892\pi$
$312$	−6.22359	−	2.75112i	−0.352341	−	0.155751i
$313$	2.64814	+	25.1954i	0.149682	+	1.42413i	0.769132	+	0.639090i	$0.220689\pi$
$313$	2.64814	+	25.1954i	0.149682	+	1.42413i	−0.619450	+	0.785036i	$0.712645\pi$
$314$	3.09722	−	2.25026i	0.174786	−	0.126990i
$315$	−14.1736	−	10.1830i	−0.798590	−	0.573747i
$316$	−4.69696	−	1.52614i	−0.264225	−	0.0858518i
$317$	10.9056	+	24.4944i	0.612520	+	1.37574i	0.907424	+	0.420215i	$0.138045\pi$
$317$	10.9056	+	24.4944i	0.612520	+	1.37574i	−0.294905	+	0.955527i	$0.595288\pi$
$318$	3.92449	+	0.823279i	0.220075	+	0.0461672i
$319$	−3.33610	+	4.52856i	−0.186786	+	0.253551i
$320$	−1.76132	+	1.01690i	−0.0984609	+	0.0568464i
$321$	0.690179	+	0.222226i	0.0385220	+	0.0124035i
$322$	11.6816	+	12.9738i	0.650992	+	0.722999i
$323$	9.71216	−	3.15567i	0.540399	−	0.175586i
$324$	7.69096	−	8.72653i	0.427276	−	0.484807i
$325$	6.39590	+	8.80320i	0.354781	+	0.488314i
$326$	25.9061	+	5.50651i	1.43481	+	0.304978i
$327$	25.4243	−	0.0675881i	1.40596	−	0.00373763i
$328$	1.42684	−	13.5755i	0.0787839	−	0.749579i
$329$	−7.90372	−	13.6896i	−0.435746	−	0.754735i
$330$	−5.13967	+	11.4224i	−0.282930	+	0.628784i
$331$	8.66186	−	15.0028i	0.476099	−	0.824627i	−0.523526	−	0.852010i	$-0.675384\pi$
$331$	8.66186	−	15.0028i	0.476099	−	0.824627i	0.999625	+	0.0273822i	$0.00871710\pi$
$332$	7.60079	+	5.52230i	0.417148	+	0.303076i
$333$	−1.05148	−	3.17853i	−0.0576210	−	0.174183i
$334$	0.500309	+	1.53979i	0.0273757	+	0.0842538i
$335$	−2.51627	+	0.264471i	−0.137479	+	0.0144496i
$336$	4.19853	−	40.9944i	0.229049	−	2.23643i
$337$	9.66376	+	8.70129i	0.526419	+	0.473989i	0.888964	−	0.457977i	$-0.151426\pi$
$337$	9.66376	+	8.70129i	0.526419	+	0.473989i	−0.362546	+	0.931966i	$0.618092\pi$
$338$	6.45439	−	1.37192i	0.351073	−	0.0746228i
$339$	−5.41268	+	1.16555i	−0.293977	+	0.0633040i
$340$	−3.00691	−	1.73604i	−0.163072	−	0.0941499i
$341$	15.1990	+	8.90948i	0.823074	+	0.482476i
$342$	−24.7148	+	2.73056i	−1.33642	+	0.147652i
$343$	−26.8543	+	36.9618i	−1.45000	+	1.99575i
$344$	3.61657	−	3.25637i	0.194992	−	0.175572i
$345$	4.11256	−	0.443304i	0.221413	−	0.0238667i
$346$	21.9594	+	9.77697i	1.18055	+	0.525613i
$347$	−19.4186	−	8.64572i	−1.04244	−	0.464126i	−0.187185	−	0.982325i	$-0.559936\pi$
$347$	−19.4186	−	8.64572i	−1.04244	−	0.464126i	−0.855260	+	0.518198i	$0.826603\pi$
$348$	2.23965	+	3.06544i	0.120058	+	0.164325i
$349$	−6.93428	+	6.24365i	−0.371183	+	0.334215i	−0.833520	−	0.552490i	$-0.813678\pi$
$349$	−6.93428	+	6.24365i	−0.371183	+	0.334215i	0.462337	+	0.886705i	$0.347011\pi$
$350$	−18.3610	+	25.2717i	−0.981436	+	1.35083i
$351$	−1.53585	+	15.8257i	−0.0819775	+	0.844715i
$352$	−20.9580	+	2.06297i	−1.11707	+	0.109957i
$353$	7.89937	+	4.56070i	0.420441	+	0.242742i	0.695266	−	0.718753i	$-0.255287\pi$
$353$	7.89937	+	4.56070i	0.420441	+	0.242742i	−0.274825	+	0.961494i	$0.588620\pi$
$354$	−0.0304385	+	0.0945345i	−0.00161779	+	0.00502445i
$355$	−4.51958	+	0.960666i	−0.239874	+	0.0509869i
$356$	9.88089	+	8.89679i	0.523686	+	0.471529i
$357$	17.1051	−	7.67024i	0.905299	−	0.405952i
$358$	−36.3523	+	3.82078i	−1.92128	+	0.201935i
$359$	−2.41692	−	7.43851i	−0.127560	−	0.392589i	0.866799	−	0.498658i	$-0.166174\pi$
$359$	−2.41692	−	7.43851i	−0.127560	−	0.392589i	−0.994359	+	0.106069i	$0.966174\pi$
$360$	−3.45591	−	3.07860i	−0.182142	−	0.162257i
$361$	1.50897	+	1.09633i	0.0794193	+	0.0577015i
$362$	−4.07929	+	7.06553i	−0.214402	+	0.371356i
$363$	−14.2925	+	12.5986i	−0.750160	+	0.661256i
$364$	−9.57308	−	16.5811i	−0.501766	−	0.869084i
$365$	−0.884849	+	8.41877i	−0.0463151	+	0.440659i
$366$	1.87433	+	3.22659i	0.0979728	+	0.168657i
$367$	−23.9688	−	5.09473i	−1.25116	−	0.265943i	−0.465750	−	0.884916i	$-0.654215\pi$
$367$	−23.9688	−	5.09473i	−1.25116	−	0.265943i	−0.785412	+	0.618974i	$0.787549\pi$
$368$	5.74086	+	7.90161i	0.299263	+	0.411900i
$369$	−31.1636	+	6.79741i	−1.62231	+	0.353859i
$370$	2.31420	−	0.751929i	0.120310	−	0.0390909i
$371$	−4.13313	−	4.59031i	−0.214582	−	0.238317i
$372$	8.81577	−	7.98030i	0.457077	−	0.413759i
$373$	−2.47795	+	1.43065i	−0.128303	+	0.0740760i	−0.562778	−	0.826608i	$-0.690267\pi$
$373$	−2.47795	+	1.43065i	−0.128303	+	0.0740760i	0.434475	+	0.900684i	$0.356934\pi$
$374$	−7.83607	−	10.9366i	−0.405194	−	0.565516i
$375$	5.54794	+	16.9216i	0.286494	+	0.873828i
$376$	−1.70507	−	3.82965i	−0.0879324	−	0.197499i
$377$	−4.93546	−	1.60363i	−0.254189	−	0.0825911i
$378$	−44.5705	+	9.84591i	−2.29246	+	0.506419i
$379$	23.6747	−	17.2007i	1.21609	−	0.883540i	0.220320	−	0.975428i	$-0.429290\pi$
$379$	23.6747	−	17.2007i	1.21609	−	0.883540i	0.995769	+	0.0918872i	$0.0292899\pi$
$380$	−0.741543	−	7.05531i	−0.0380404	−	0.361930i
$381$	−31.1905	+	22.7882i	−1.59794	+	1.16747i
$382$	6.70535	+	31.5462i	0.343076	+	1.61404i
$383$	28.3035	+	2.97482i	1.44624	+	0.152006i	0.794883	−	0.606763i	$-0.207532\pi$
$383$	28.3035	+	2.97482i	1.44624	+	0.152006i	0.651359	+	0.758769i	$0.274199\pi$
$384$	3.42387	−	16.3213i	0.174724	−	0.832891i
$385$	16.7727	−	9.53660i	0.854814	−	0.486030i
$386$			11.1755i			0.568818i
$387$	−9.87824	−	5.63339i	−0.502139	−	0.286361i
$388$	5.79296	−	17.8289i	0.294093	−	0.905125i
$389$	−2.96928	+	13.9694i	−0.150548	+	0.708275i	0.836515	+	0.547944i	$0.184589\pi$
$389$	−2.96928	+	13.9694i	−0.150548	+	0.708275i	−0.987063	+	0.160331i	$0.948744\pi$
$390$	−11.4961	−	1.17740i	−0.582128	−	0.0596199i
$391$	−1.80714	+	4.05891i	−0.0913911	+	0.205268i
$392$	−14.1208	+	15.6827i	−0.713207	+	0.792097i
$393$	23.2130	−	13.4845i	1.17094	−	0.680201i
$394$	37.3134	−	16.6130i	1.87982	−	0.836951i
$395$	4.59175			0.231036
$396$	5.21538	+	11.7546i	0.262083	+	0.590690i
$397$	2.20687			0.110760			0.0553798	−	0.998465i	$-0.482363\pi$
$397$	2.20687			0.110760			0.0553798	+	0.998465i	$0.482363\pi$
$398$	−15.4273	+	6.86867i	−0.773300	+	0.344295i
$399$	33.2215	+	19.0629i	1.66316	+	0.954338i
$400$	−11.6937	+	12.9872i	−0.584687	+	0.649361i
$401$	−12.8297	+	28.8160i	−0.640684	+	1.43900i	0.242583	+	0.970131i	$0.422005\pi$
$401$	−12.8297	+	28.8160i	−0.640684	+	1.43900i	−0.883267	+	0.468870i	$0.844661\pi$
$402$	−3.87533	+	5.36387i	−0.193284	+	0.267525i
$403$	−3.37951	+	15.8993i	−0.168345	+	0.792003i
$404$	−6.42442	+	19.7723i	−0.319627	+	0.983710i
$405$	−4.29350	+	9.92610i	−0.213346	+	0.493232i
$406$		−	14.8976i		−	0.739355i
$407$	3.67837	+	0.411185i	0.182330	+	0.0203817i
$408$	4.72399	−	1.54881i	0.233872	−	0.0766777i
$409$	6.74107	+	0.708515i	0.333324	+	0.0350338i	0.269712	−	0.962941i	$-0.413071\pi$
$409$	6.74107	+	0.708515i	0.333324	+	0.0350338i	0.0636119	+	0.997975i	$0.479738\pi$
$410$	−4.81989	−	22.6758i	−0.238037	−	1.11988i
$411$	−3.18179	−	29.5177i	−0.156946	−	1.45600i
$412$	0.281160	+	2.67506i	0.0138517	+	0.131791i
$413$	0.123766	−	0.0899212i	0.00609012	−	0.00442473i
$414$	6.31224	−	8.78591i	0.310230	−	0.431804i
$415$	−8.30760	−	2.69930i	−0.407804	−	0.132504i
$416$	−7.90276	−	17.7499i	−0.387465	−	0.870260i
$417$	11.9805	−	13.3770i	0.586686	−	0.655075i
$418$	8.66715	−	26.0874i	0.423924	−	1.27598i
$419$	−24.7759	+	14.3044i	−1.21038	+	0.698815i	−0.962843	−	0.270062i	$-0.912956\pi$
$419$	−24.7759	+	14.3044i	−1.21038	+	0.698815i	−0.247541	+	0.968877i	$0.579622\pi$
$420$	−2.74144	−	12.7310i	−0.133769	−	0.621208i
$421$	−3.74264	−	4.15662i	−0.182405	−	0.202582i	0.645007	−	0.764177i	$-0.276854\pi$
$421$	−3.74264	−	4.15662i	−0.182405	−	0.202582i	−0.827412	+	0.561595i	$0.810188\pi$
$422$	24.1790	−	7.85624i	1.17702	−	0.382436i
$423$	−7.24458	+	6.59313i	−0.352244	+	0.320569i
$424$	−0.962842	−	1.32524i	−0.0467597	−	0.0643592i
$425$	−7.77622	−	1.65289i	−0.377202	−	0.0801767i
$426$	−6.01448	+	10.4816i	−0.291403	+	0.507837i
$427$	0.600828	−	5.71649i	0.0290761	−	0.276640i
$428$	0.270522	+	0.468558i	0.0130762	+	0.0226486i
$429$	−15.1884	−	8.84907i	−0.733302	−	0.427237i
$430$	4.13248	−	7.15767i	0.199286	−	0.345173i
$431$	15.7825	+	11.4667i	0.760216	+	0.552329i	0.898977	−	0.437997i	$-0.144312\pi$
$431$	15.7825	+	11.4667i	0.760216	+	0.552329i	−0.138760	+	0.990326i	$0.544312\pi$
$432$	−25.3744	+	2.87173i	−1.22083	+	0.138166i
$433$	−6.96921	−	21.4490i	−0.334919	−	1.03077i	−0.966762	−	0.255678i	$-0.917701\pi$
$433$	−6.96921	−	21.4490i	−0.334919	−	1.03077i	0.631843	−	0.775096i	$-0.282299\pi$
$434$	−46.4070	+	4.87757i	−2.22761	+	0.234131i
$435$	−2.86113	−	2.06714i	−0.137181	−	0.0991116i
$436$	14.0985	+	12.6944i	0.675198	+	0.607951i
$437$	−8.87966	+	1.88743i	−0.424772	+	0.0902880i
$438$	14.8581	+	16.4137i	0.709950	+	0.784276i
$439$	25.9695	+	14.9935i	1.23946	+	0.715601i	0.968983	−	0.247126i	$-0.0794861\pi$
$439$	25.9695	+	14.9935i	1.23946	+	0.715601i	0.270474	+	0.962727i	$0.412819\pi$
$440$	4.68804	−	2.05027i	0.223494	−	0.0977428i
$441$	45.1543	+	19.8170i	2.15021	+	0.943667i
$442$	7.29615	−	10.0423i	0.347043	−	0.477663i
$443$	−23.4444	+	21.1094i	−1.11388	+	1.00294i	−0.113922	+	0.993490i	$0.536341\pi$
$443$	−23.4444	+	21.1094i	−1.11388	+	1.00294i	−0.999955	+	0.00944948i	$0.996992\pi$
$444$	1.01004	−	2.28492i	0.0479344	−	0.108437i
$445$	−11.2933	−	5.02810i	−0.535353	−	0.238355i
$446$	26.7422	+	11.9064i	1.26628	+	0.563785i
$447$	−0.0283317	+	0.0640922i	−0.00134005	+	0.00303145i
$448$	6.08913	−	5.48268i	0.287684	−	0.259032i
$449$	22.3362	−	30.7432i	1.05411	−	1.45086i	0.168921	−	0.985630i	$-0.445972\pi$
$449$	22.3362	−	30.7432i	1.05411	−	1.45086i	0.885190	−	0.465229i	$-0.154028\pi$
$450$	17.7254	+	7.77921i	0.835584	+	0.366715i
$451$	7.55911	−	34.4430i	0.355944	−	1.62186i
$452$	−3.57797	−	2.06574i	−0.168294	−	0.0971644i
$453$	3.19845	+	3.53330i	0.150276	+	0.166009i
$454$	26.1169	−	5.55131i	1.22572	−	0.260536i
$455$	13.2289	+	11.9113i	0.620179	+	0.558412i
$456$	8.23353	+	5.94864i	0.385571	+	0.278570i
$457$	39.0111	−	4.10023i	1.82486	−	0.191801i	0.870846	−	0.491555i	$-0.163571\pi$
$457$	39.0111	−	4.10023i	1.82486	−	0.191801i	0.954016	+	0.299755i	$0.0969048\pi$
$458$	−12.4473	−	38.3088i	−0.581624	−	1.79005i
$459$	−6.90282	−	9.34330i	−0.322196	−	0.436108i
$460$	2.49706	+	1.81422i	0.116426	+	0.0845885i
$461$	−8.77604	+	15.2006i	−0.408741	+	0.707960i	−0.994749	−	0.102345i	$-0.967365\pi$
$461$	−8.77604	+	15.2006i	−0.408741	+	0.707960i	0.586008	+	0.810305i	$0.300699\pi$
$462$	10.6863	−	49.3180i	0.497174	−	2.29448i
$463$	−2.53619	−	4.39282i	−0.117867	−	0.204151i	0.801055	−	0.598590i	$-0.204272\pi$
$463$	−2.53619	−	4.39282i	−0.117867	−	0.204151i	−0.918922	+	0.394439i	$0.870939\pi$
$464$	0.871196	−	8.28888i	0.0404443	−	0.384802i
$465$	−5.50251	+	9.58942i	−0.255173	+	0.444699i
$466$	9.17322	+	1.94983i	0.424941	+	0.0903240i
$467$	−9.96792	−	13.7197i	−0.461260	−	0.634870i	0.513509	−	0.858084i	$-0.328345\pi$
$467$	−9.96792	−	13.7197i	−0.461260	−	0.634870i	−0.974770	+	0.223214i	$0.928345\pi$
$468$	−8.77472	+	7.98568i	−0.405612	+	0.369138i
$469$	9.69445	−	3.14992i	0.447648	−	0.145450i
$470$	−4.76385	−	5.29079i	−0.219740	−	0.244046i
$471$	0.769293	+	3.57251i	0.0354471	+	0.164613i
$472$	0.0351352	−	0.0202853i	0.00161723	−	0.000933706i
$473$	10.2194	−	7.32223i	0.469889	−	0.336677i
$474$	8.01206	−	8.94601i	0.368006	−	0.410904i
$475$	−6.60678	−	14.8391i	−0.303140	−	0.680863i
$476$	13.3036	+	4.32260i	0.609769	+	0.198126i
$477$	−2.23336	+	3.10859i	−0.102259	+	0.142332i
$478$	20.0601	−	14.5745i	0.917526	−	0.666622i
$479$	1.88983	+	17.9805i	0.0863485	+	0.821551i	0.948899	+	0.315580i	$0.102199\pi$
$479$	1.88983	+	17.9805i	0.0863485	+	0.821551i	−0.862550	+	0.505971i	$0.831134\pi$
$480$	−1.41635	−	13.1395i	−0.0646470	−	0.599734i
$481$	0.709991	+	3.34024i	0.0323728	+	0.152302i
$482$	−12.7267	−	1.33763i	−0.579687	−	0.0609276i
$483$	−15.8352	+	5.19175i	−0.720526	+	0.236233i
$484$	−14.2156	−	0.187729i	−0.646165	−	0.00853315i
$485$			17.4295i			0.791435i
$486$	11.8471	+	25.6848i	0.537397	+	1.16509i
$487$	−8.03498	+	24.7291i	−0.364100	+	1.12058i	0.586443	+	0.809991i	$0.300528\pi$
$487$	−8.03498	+	24.7291i	−0.364100	+	1.12058i	−0.950543	+	0.310594i	$0.899472\pi$
$488$	0.316929	−	1.49103i	0.0143467	−	0.0674959i
$489$	−14.8055	+	20.4924i	−0.669530	+	0.926700i
$490$	−14.5774	+	32.7413i	−0.658538	+	1.47910i
$491$	4.90602	−	5.44869i	0.221406	−	0.245896i	−0.622201	−	0.782858i	$-0.713761\pi$
$491$	4.90602	−	5.44869i	0.221406	−	0.245896i	0.843607	+	0.536962i	$0.180428\pi$
$492$	−20.6437	−	11.8456i	−0.930688	−	0.534039i
$493$	3.46364	−	1.54211i	0.155995	−	0.0694532i
$494$	25.3622			1.14110
$495$	−7.98890	−	8.89554i	−0.359074	−	0.399825i
$496$	−26.1057			−1.17218
$497$	17.0058	−	7.57147i	0.762815	−	0.339627i
$498$	−19.7548	+	11.4755i	−0.885232	+	0.514231i
$499$	−6.30257	+	6.99971i	−0.282142	+	0.313350i	−0.867512	−	0.497416i	$-0.834282\pi$
$499$	−6.30257	+	6.99971i	−0.282142	+	0.313350i	0.585371	+	0.810766i	$0.300949\pi$
$500$	−5.40476	+	12.1393i	−0.241708	+	0.542885i
$501$	−1.53742	−	0.157458i	−0.0686868	−	0.00703471i
$502$	2.53841	−	11.9423i	0.113295	−	0.533010i
$503$	−10.3211	+	31.7652i	−0.460196	+	1.41634i	0.404728	+	0.914437i	$0.367366\pi$
$503$	−10.3211	+	31.7652i	−0.460196	+	1.41634i	−0.864925	+	0.501902i	$0.832634\pi$
$504$	16.1976	+	9.23720i	0.721497	+	0.411458i
$505$		−	19.3294i		−	0.860149i
$506$	5.91155	+	10.3970i	0.262800	+	0.462205i
$507$	−1.29320	+	6.16454i	−0.0574328	+	0.273777i
$508$	−28.6663	−	3.01295i	−1.27186	−	0.133678i
$509$	−4.26297	−	20.0557i	−0.188953	−	0.888953i	−0.965805	−	0.259270i	$-0.916518\pi$
$509$	−4.26297	−	20.0557i	−0.188953	−	0.888953i	0.776852	−	0.629683i	$-0.216815\pi$
$510$	6.81733	−	4.98082i	0.301876	−	0.220554i
$511$	−3.56486	−	33.9174i	−0.157700	−	1.50042i
$512$	15.0364	−	10.9246i	0.664521	−	0.482803i
$513$	7.15432	−	22.6313i	0.315871	−	0.999196i
$514$	−24.4213	−	7.93496i	−1.07718	−	0.349996i
$515$	−1.01718	−	2.28463i	−0.0448225	−	0.100673i
$516$	−2.64359	−	8.06314i	−0.116378	−	0.354960i
$517$	−3.27840	−	10.3213i	−0.144184	−	0.453929i
$518$	−8.48982	+	4.90160i	−0.373021	+	0.215364i
$519$	−17.0108	+	15.3986i	−0.746689	+	0.675925i
$520$	3.15884	+	3.50825i	0.138524	+	0.153847i
$521$	−12.4115	+	4.03273i	−0.543757	+	0.176677i	−0.568000	−	0.823029i	$-0.692282\pi$
$521$	−12.4115	+	4.03273i	−0.543757	+	0.176677i	0.0242430	+	0.999706i	$0.492282\pi$
$522$	−9.01969	+	1.96737i	−0.394781	+	0.0861096i
$523$	−4.85832	−	6.68690i	−0.212439	−	0.292398i	0.689478	−	0.724307i	$-0.257840\pi$
$523$	−4.85832	−	6.68690i	−0.212439	−	0.292398i	−0.901917	+	0.431909i	$0.857840\pi$
$524$	19.5941	+	4.16485i	0.855972	+	0.181942i
$525$	−14.9776	−	25.7834i	−0.653676	−	1.12528i
$526$	−1.31740	+	12.5342i	−0.0574414	+	0.546519i
$527$	−5.93780	−	10.2846i	−0.258655	−	0.448003i
$528$	8.82985	−	26.8152i	0.384270	−	1.16698i
$529$	−9.52516	+	16.4981i	−0.414138	+	0.717307i
$530$	−2.25067	−	1.63521i	−0.0977628	−	0.0710289i
$531$	−0.0707870	−	0.0630587i	−0.00307189	−	0.00273651i
$532$	8.83197	+	27.1820i	0.382915	+	1.17849i
$533$	32.3557	−	3.40073i	1.40148	−	0.147302i
$534$	−29.5016	+	13.2290i	−1.27666	+	0.572476i
$535$	−0.373830	−	0.336598i	−0.0161621	−	0.0145524i
$536$	2.64417	−	0.562035i	0.114211	−	0.0242762i
$537$	10.6938	−	33.2123i	0.461472	−	1.43322i
$538$	−10.8502	−	6.26435i	−0.467784	−	0.270075i
$539$	−40.7532	+	36.2100i	−1.75537	+	1.55968i
$540$	−7.34588	+	3.34105i	−0.316117	+	0.143776i
$541$	5.73469	−	7.89312i	0.246554	−	0.339352i	−0.667747	−	0.744388i	$-0.732741\pi$
$541$	5.73469	−	7.89312i	0.246554	−	0.339352i	0.914301	+	0.405036i	$0.132741\pi$
$542$	18.3724	−	16.5426i	0.789163	−	0.710565i
$543$	−4.59430	−	6.28828i	−0.197160	−	0.269856i
$544$	12.9681	+	5.77378i	0.556003	+	0.247549i
$545$	−16.1138	−	7.17434i	−0.690240	−	0.307315i
$546$	46.2894	−	4.98966i	1.98100	−	0.213538i
$547$	−5.78545	+	5.20924i	−0.247368	+	0.222731i	−0.783482	−	0.621414i	$-0.786558\pi$
$547$	−5.78545	+	5.20924i	−0.247368	+	0.222731i	0.536114	+	0.844146i	$0.319892\pi$
$548$	13.0215	−	17.9225i	0.556250	−	0.765613i
$549$	−3.54038	+	0.391151i	−0.151100	+	0.0166939i
$550$	−15.9978	+	14.2143i	−0.682147	+	0.606100i
$551$	6.70882	+	3.87334i	0.285805	+	0.165010i
$552$	−4.32035	+	0.930330i	−0.183886	+	0.0395975i
$553$	−18.0949	+	3.84619i	−0.769474	+	0.163557i
$554$	15.7165	+	14.1512i	0.667729	+	0.601225i
$555$	−0.236648	+	2.31063i	−0.0100452	+	0.0980807i
$556$	13.3264	−	1.40066i	0.565167	−	0.0594014i
$557$	1.09093	+	3.35755i	0.0462244	+	0.142264i	0.971505	−	0.237019i	$-0.0761705\pi$
$557$	1.09093	+	3.35755i	0.0462244	+	0.142264i	−0.925281	+	0.379283i	$0.876171\pi$
$558$	9.08161	+	27.4528i	0.384455	+	1.16217i
$559$	9.38378	+	6.81772i	0.396892	+	0.288359i
$560$	−14.2948	+	24.7594i	−0.604067	+	1.04627i
$561$	12.5725	−	2.62058i	0.530810	−	0.110641i
$562$	19.8149	+	34.3204i	0.835841	+	1.44772i
$563$	−0.157070	+	1.49442i	−0.00661970	+	0.0629822i	−0.997333	−	0.0729849i	$-0.976747\pi$
$563$	−0.157070	+	1.49442i	−0.00661970	+	0.0629822i	0.990713	+	0.135967i	$0.0434142\pi$
$564$	−7.30936	+	0.0194313i	−0.307780	+	0.000818204i
$565$	3.75732	+	0.798643i	0.158072	+	0.0335992i
$566$	−25.0367	−	34.4601i	−1.05237	−	1.44847i
$567$	8.60518	−	42.7126i	0.361383	−	1.79376i
$568$	4.69506	−	1.52552i	0.197000	−	0.0640093i
$569$	−9.92854	−	11.0268i	−0.416226	−	0.462266i	0.498174	−	0.867077i	$-0.334004\pi$
$569$	−9.92854	−	11.0268i	−0.416226	−	0.462266i	−0.914400	+	0.404811i	$0.867337\pi$
$570$	16.4206	+	5.28717i	0.687785	+	0.221455i
$571$	25.8594	−	14.9299i	1.08218	−	0.624798i	0.150697	−	0.988580i	$-0.451848\pi$
$571$	25.8594	−	14.9299i	1.08218	−	0.624798i	0.931484	+	0.363782i	$0.118515\pi$
$572$	−3.97084	−	12.5012i	−0.166029	−	0.522703i
$573$	−30.1295	−	6.32056i	−1.25868	−	0.264045i
$574$	37.9878	+	85.3221i	1.58558	+	3.56128i
$575$	6.72128	+	2.18388i	0.280297	+	0.0910740i
$576$	−4.12360	−	2.96260i	−0.171817	−	0.123442i
$577$	−20.6394	+	14.9954i	−0.859228	+	0.624266i	−0.927675	−	0.373389i	$-0.878196\pi$
$577$	−20.6394	+	14.9954i	−0.859228	+	0.624266i	0.0684465	+	0.997655i	$0.478196\pi$
$578$	−2.27639	−	21.6584i	−0.0946854	−	0.900871i
$579$	−9.75687	−	4.31300i	−0.405482	−	0.179242i
$580$	−0.547613	−	2.57632i	−0.0227384	−	0.106976i
$581$	34.9991	+	3.67855i	1.45201	+	0.152612i
$582$	33.9576	+	30.4125i	1.40759	+	1.26064i
$583$	−2.09159	−	3.67863i	−0.0866250	−	0.152353i
$584$		−	9.04432i		−	0.374256i
$585$	5.46467	−	9.58238i	0.225936	−	0.396183i
$586$	−0.951344	+	2.92793i	−0.0392996	+	0.120952i
$587$	4.91248	−	23.1114i	0.202760	−	0.953910i	−0.752603	−	0.658475i	$-0.771202\pi$
$587$	4.91248	−	23.1114i	0.202760	−	0.953910i	0.955363	−	0.295436i	$-0.0954648\pi$
$588$	15.0555	+	33.5748i	0.620880	+	1.38460i
$589$	9.86919	−	22.1666i	0.406653	−	0.913358i
$590$	0.0461042	−	0.0512039i	0.00189808	−	0.00210803i
$591$	0.103647	+	38.9884i	0.00426347	+	1.60377i
$592$	−5.01030	+	2.23073i	−0.205922	+	0.0916824i
$593$	−10.1681			−0.417553			−0.208777	−	0.977963i	$-0.566948\pi$
$593$	−10.1681			−0.417553			−0.208777	+	0.977963i	$0.566948\pi$
$594$	−31.2707	+	0.0429244i	−1.28305	+	0.00176121i
$595$	−13.0056			−0.533178
$596$	−0.0477687	+	0.0212680i	−0.00195668	+	0.000871171i
$597$	−0.0428530	−	16.1198i	−0.00175386	−	0.659739i
$598$	−7.38360	+	8.20032i	−0.301938	+	0.335336i
$599$	2.47923	−	5.56843i	0.101298	−	0.227520i	−0.855786	−	0.517331i	$-0.826926\pi$
$599$	2.47923	−	5.56843i	0.101298	−	0.227520i	0.957084	+	0.289811i	$0.0935924\pi$
$600$	−3.23552	−	7.21540i	−0.132089	−	0.294568i
$601$	−2.91575	+	13.7175i	−0.118936	+	0.559550i	0.877815	+	0.479001i	$0.159001\pi$
$601$	−2.91575	+	13.7175i	−0.118936	+	0.559550i	−0.996751	+	0.0805495i	$0.974333\pi$
$602$	−10.2896	+	31.6680i	−0.419371	+	1.29069i
$603$	−3.18735	−	5.45349i	−0.129799	−	0.222083i
$604$			3.55632i			0.144705i
$605$	12.6241	−	3.91829i	0.513242	−	0.159301i
$606$	−37.6591	−	33.7276i	−1.52980	−	1.37009i
$607$	0.841863	+	0.0884833i	0.0341701	+	0.00359143i	0.121598	−	0.992579i	$-0.461198\pi$
$607$	0.841863	+	0.0884833i	0.0341701	+	0.00359143i	−0.0874280	+	0.996171i	$0.527865\pi$
$608$	6.03029	+	28.3703i	0.244561	+	1.15057i
$609$	13.0065	+	5.74948i	0.527049	+	0.232981i
$610$	−0.270605	−	2.57463i	−0.0109565	−	0.104244i
$611$	8.08321	−	5.87280i	0.327012	−	0.237588i
$612$	0.860231	−	8.62546i	0.0347728	−	0.348663i
$613$	−24.1513	−	7.84724i	−0.975462	−	0.316947i	−0.222443	−	0.974946i	$-0.571403\pi$
$613$	−24.1513	−	7.84724i	−0.975462	−	0.316947i	−0.753019	+	0.657999i	$0.771403\pi$
$614$	1.73644	+	3.90011i	0.0700770	+	0.157395i
$615$	21.6575	+	4.54329i	0.873313	+	0.183203i
$616$	−16.7570	+	12.0064i	−0.675158	+	0.483753i
$617$	8.73291	−	5.04195i	0.351574	−	0.202981i	−0.313805	−	0.949488i	$-0.601604\pi$
$617$	8.73291	−	5.04195i	0.351574	−	0.202981i	0.665378	+	0.746507i	$0.268270\pi$
$618$	−6.22597	−	2.00466i	−0.250445	−	0.0806391i
$619$	−17.4316	−	19.3597i	−0.700635	−	0.778134i	0.282842	−	0.959166i	$-0.408723\pi$
$619$	−17.4316	−	19.3597i	−0.700635	−	0.778134i	−0.983477	+	0.181033i	$0.942056\pi$
$620$	−7.84611	+	2.54935i	−0.315107	+	0.102385i
$621$	5.23452	+	8.90174i	0.210054	+	0.357215i
$622$	11.3121	+	15.5698i	0.453574	+	0.624291i
$623$	48.7156	+	10.3548i	1.95175	+	0.414857i
$624$	26.0468	−	0.0692430i	1.04271	−	0.00277194i
$625$	−0.567118	+	5.39577i	−0.0226847	+	0.215831i
$626$	−22.9845	−	39.8103i	−0.918646	−	1.59114i
$627$	19.4309	+	17.6349i	0.775996	+	0.704271i
$628$	−1.36344	+	2.36155i	−0.0544073	+	0.0942362i
$629$	−2.01842	−	1.46647i	−0.0804798	−	0.0584720i
$630$	31.0100	+	6.41924i	1.23547	+	0.255749i
$631$	3.44605	+	10.6058i	0.137185	+	0.422212i	0.995923	−	0.0902022i	$-0.0287513\pi$
$631$	3.44605	+	10.6058i	0.137185	+	0.422212i	−0.858739	+	0.512414i	$0.828751\pi$
$632$	−4.87904	+	0.512807i	−0.194078	+	0.0203984i
$633$	−2.47253	+	24.1417i	−0.0982741	+	0.959547i
$634$	−36.1551	−	32.5542i	−1.43590	−	1.29289i
$635$	26.2137	−	5.57190i	1.04026	−	0.221114i
$636$	−2.79219	+	0.601261i	−0.110718	+	0.0238416i
$637$	−43.5588	−	25.1487i	−1.72586	−	0.996426i
$638$	2.18783	−	9.96884i	0.0866172	−	0.394670i
$639$	−6.82991	−	9.29622i	−0.270187	−	0.367753i
$640$	−6.80053	+	9.36013i	−0.268815	+	0.369991i
$641$	−8.20366	+	7.38661i	−0.324025	+	0.291754i	−0.815048	−	0.579393i	$-0.803290\pi$
$641$	−8.20366	+	7.38661i	−0.324025	+	0.291754i	0.491023	+	0.871146i	$0.336623\pi$
$642$	−1.30808	+	0.141001i	−0.0516256	+	0.00556487i
$643$	33.5638	+	14.9436i	1.32363	+	0.589317i	0.942190	−	0.335078i	$-0.108763\pi$
$643$	33.5638	+	14.9436i	1.32363	+	0.589317i	0.381437	+	0.924395i	$0.375429\pi$
$644$	−11.3599	−	5.05776i	−0.447643	−	0.199304i
$645$	4.65421	+	6.37029i	0.183259	+	0.250830i
$646$	−13.7703	+	12.3988i	−0.541784	+	0.487824i
$647$	1.59821	−	2.19975i	0.0628321	−	0.0864810i	−0.776445	−	0.630186i	$-0.782979\pi$
$647$	1.59821	−	2.19975i	0.0628321	−	0.0864810i	0.839277	+	0.543705i	$0.182979\pi$
$648$	3.45358	−	11.0266i	0.135669	−	0.433167i
$649$	0.0960246	−	0.0419955i	0.00376930	−	0.00164847i
$650$	−17.0991	−	9.87215i	−0.670681	−	0.387218i
$651$	13.6516	−	42.3985i	0.535048	−	1.66173i
$652$	−18.4525	+	3.92219i	−0.722655	+	0.153605i
$653$	−32.8807	−	29.6059i	−1.28672	−	1.15857i	−0.978272	−	0.207327i	$-0.933524\pi$
$653$	−32.8807	−	29.6059i	−1.28672	−	1.15857i	−0.308448	−	0.951241i	$-0.599810\pi$
$654$	−42.0943	+	18.8758i	−1.64602	+	0.738103i
$655$	−18.5226	+	1.94681i	−0.723739	+	0.0760681i
$656$	16.1465	+	49.6939i	0.630416	+	1.94022i
$657$	−20.0644	+	6.63746i	−0.782786	+	0.258952i
$658$	23.2048	+	16.8593i	0.904618	+	0.657244i
$659$	4.58714	−	7.94516i	0.178690	−	0.309499i	−0.762742	−	0.646702i	$-0.776148\pi$
$659$	4.58714	−	7.94516i	0.178690	−	0.309499i	0.941432	+	0.337203i	$0.109481\pi$
$660$	0.0351883	−	8.92163i	0.00136970	−	0.347274i
$661$	4.94816	+	8.57046i	0.192461	+	0.333352i	0.946065	−	0.323976i	$-0.105020\pi$
$661$	4.94816	+	8.57046i	0.192461	+	0.333352i	−0.753604	+	0.657328i	$0.771686\pi$
$662$	−3.28575	+	31.2618i	−0.127704	+	1.21503i
$663$	5.95169	+	10.2456i	0.231144	+	0.397907i
$664$	9.12882	+	1.94039i	0.354267	+	0.0753018i
$665$	−15.6193	−	21.4981i	−0.605691	−	0.833662i
$666$	4.08882	+	4.49283i	0.158439	+	0.174094i
$667$	−3.20547	+	1.04152i	−0.124116	+	0.0403278i
$668$	−0.771649	−	0.857003i	−0.0298560	−	0.0331584i
$669$	−20.7157	+	18.7525i	−0.800916	+	0.725013i
$670$	3.97588	−	2.29547i	0.153602	−	0.0886819i
$671$	1.24156	−	3.73700i	0.0479300	−	0.144265i
$672$	16.5875	+	50.5931i	0.639877	+	1.95167i
$673$	−7.19227	−	16.1541i	−0.277242	−	0.622695i	0.720232	−	0.693733i	$-0.244035\pi$
$673$	−7.19227	−	16.1541i	−0.277242	−	0.622695i	−0.997474	+	0.0710383i	$0.977369\pi$
$674$	−22.4408	−	7.29146i	−0.864387	−	0.280856i
$675$	−13.6325	+	12.4731i	−0.524717	+	0.480090i
$676$	−3.80243	+	2.76263i	−0.146247	+	0.106255i
$677$	−1.24345	−	11.8306i	−0.0477895	−	0.454687i	−0.992083	−	0.125583i	$-0.959920\pi$
$677$	−1.24345	−	11.8306i	−0.0477895	−	0.454687i	0.944294	−	0.329104i	$-0.106747\pi$
$678$	8.11206	−	5.92677i	0.311542	−	0.227616i
$679$	−14.5995	−	68.6853i	−0.560278	−	2.63590i
$680$	−3.43015	−	0.360523i	−0.131540	−	0.0138254i
$681$	−5.23274	+	24.9440i	−0.200519	+	0.955856i
$682$	−31.7699	−	3.55138i	−1.21653	−	0.135989i
$683$		−	18.2564i		−	0.698561i	−0.937018	−	0.349280i	$-0.886426\pi$
$683$		−	18.2564i		−	0.698561i	0.937018	−	0.349280i	$-0.113574\pi$
$684$	15.2909	−	8.93694i	0.584662	−	0.341712i
$685$	−6.36490	+	19.5892i	−0.243190	+	0.748463i
$686$	17.2359	−	81.0883i	0.658068	−	3.09597i
$687$	38.2497	+	3.91743i	1.45932	+	0.149459i
$688$	−7.57693	+	17.0181i	−0.288868	+	0.648808i
$689$	2.61243	−	2.90139i	0.0995255	−	0.110534i
$690$	−6.48995	+	3.77002i	−0.247068	+	0.143522i
$691$	16.4659	−	7.33107i	0.626391	−	0.278887i	−0.0688913	−	0.997624i	$-0.521946\pi$
$691$	16.4659	−	7.33107i	0.626391	−	0.278887i	0.695282	+	0.718737i	$0.255279\pi$
$692$	−17.1216			−0.650864
$693$	38.9333	+	28.3633i	1.47896	+	1.07743i
$694$	38.5698			1.46409
$695$	−11.3814	+	5.06735i	−0.431723	+	0.192215i
$696$	3.27100	+	1.87694i	0.123987	+	0.0711451i
$697$	−15.9048	+	17.6641i	−0.602438	+	0.669075i
$698$	6.88652	−	15.4674i	0.260659	−	0.585449i
$699$	−5.24257	+	7.25626i	−0.198292	+	0.274457i
$700$	4.62603	−	21.7638i	0.174847	−	0.822593i
$701$	−2.60431	+	8.01524i	−0.0983635	+	0.302732i	−0.988116	−	0.153712i	$-0.950877\pi$
$701$	−2.60431	+	8.01524i	−0.0983635	+	0.302732i	0.889752	+	0.456444i	$0.150877\pi$
$702$	−9.13395	−	27.3668i	−0.344739	−	1.03289i
$703$		−	5.09762i		−	0.192260i
$704$	4.87977	−	2.77454i	0.183913	−	0.104569i
$705$	6.45771	−	2.11723i	0.243211	−	0.0797396i
$706$	−16.4602	−	1.73004i	−0.619488	−	0.0651108i
$707$	16.1909	+	76.1723i	0.608923	+	2.86476i
$708$	−0.00758131	−	0.0703322i	−0.000284923	−	0.00264325i
$709$	−2.16511	−	20.5997i	−0.0813126	−	0.773637i	−0.956869	−	0.290521i	$-0.906171\pi$
$709$	−2.16511	−	20.5997i	−0.0813126	−	0.773637i	0.875556	−	0.483116i	$-0.160495\pi$
$710$	6.78282	−	4.92801i	0.254555	−	0.184945i
$711$	4.71827	+	10.4476i	0.176949	+	0.391814i
$712$	12.5614	+	4.08144i	0.470758	+	0.152959i
$713$	4.29389	+	9.64424i	0.160808	+	0.361180i
$714$	−22.6932	+	25.3385i	−0.849273	+	0.948270i
$715$	7.10293	+	9.91333i	0.265634	+	0.370738i
$716$	22.5476	−	13.0179i	0.842644	−	0.486501i
$717$	4.98255	+	23.1384i	0.186077	+	0.864120i
$718$	9.49619	+	10.5466i	0.354395	+	0.393595i
$719$	−34.3009	+	11.1450i	−1.27921	+	0.415640i	−0.868301	−	0.496038i	$-0.834788\pi$
$719$	−34.3009	+	11.1450i	−1.27921	+	0.415640i	−0.410906	+	0.911678i	$0.634788\pi$
$720$	16.8783	+	5.38504i	0.629015	+	0.200688i
$721$	5.92214	+	8.15112i	0.220552	+	0.303564i
$722$	−3.31044	−	0.703656i	−0.123202	−	0.0261874i
$723$	6.07951	−	10.5950i	0.226099	−	0.394031i
$724$	0.607437	−	5.77937i	0.0225752	−	0.214789i
$725$	−3.01536	−	5.22276i	−0.111988	−	0.193968i
$726$	14.3936	−	31.4322i	0.534197	−	1.16656i
$727$	10.4928	−	18.1741i	0.389158	−	0.674042i	−0.603178	−	0.797606i	$-0.706099\pi$
$727$	10.4928	−	18.1741i	0.389158	−	0.674042i	0.992337	+	0.123565i	$0.0394327\pi$
$728$	−15.3868	−	11.1792i	−0.570273	−	0.414327i
$729$	−26.9966	+	0.430643i	−0.999873	+	0.0159497i
$730$	−4.74653	−	14.6083i	−0.175677	−	0.540678i
$731$	−8.42783	+	0.885800i	−0.311714	+	0.0327625i
$732$	−2.15441	−	1.55654i	−0.0796294	−	0.0575313i
$733$	−30.1889	−	27.1822i	−1.11505	−	1.00400i	−0.999943	−	0.0106457i	$-0.996611\pi$
$733$	−30.1889	−	27.1822i	−1.11505	−	1.00400i	−0.115110	−	0.993353i	$-0.536722\pi$
$734$	43.4916	−	9.24443i	1.60531	−	0.341218i
$735$	−22.9592	−	25.3629i	−0.846863	−	0.935523i
$736$	−10.9285	−	6.30956i	−0.402829	−	0.232573i
$737$	6.94971	−	0.684083i	0.255996	−	0.0251985i
$738$	46.6413	−	34.2672i	1.71689	−	1.26139i
$739$	−0.159730	+	0.219850i	−0.00587578	+	0.00808731i	−0.811945	−	0.583734i	$-0.801591\pi$
$739$	−0.159730	+	0.219850i	−0.00587578	+	0.00808731i	0.806069	+	0.591822i	$0.201591\pi$
$740$	−1.28801	+	1.15973i	−0.0473483	+	0.0426326i
$741$	−9.78814	+	22.1428i	−0.359576	+	0.813434i
$742$	10.2390	+	4.55870i	0.375886	+	0.167355i
$743$	−18.7849	−	8.36360i	−0.689153	−	0.306831i	0.0321177	−	0.999484i	$-0.489775\pi$
$743$	−18.7849	−	8.36360i	−0.689153	−	0.306831i	−0.721271	+	0.692653i	$0.756442\pi$
$744$	4.77583	−	10.8039i	0.175091	−	0.396090i
$745$	0.0361289	−	0.0325306i	0.00132366	−	0.00119183i
$746$	3.05169	−	4.20029i	0.111730	−	0.153783i
$747$	−2.39481	−	21.6759i	−0.0876216	−	0.793079i
$748$	8.26740	+	4.84624i	0.302286	+	0.177196i
$749$	1.75511	+	1.01331i	0.0641304	+	0.0370257i
$750$	−21.6851	−	23.9553i	−0.791827	−	0.874725i
$751$	50.9801	−	10.8362i	1.86029	−	0.395417i	0.865814	−	0.500366i	$-0.166801\pi$
$751$	50.9801	−	10.8362i	1.86029	−	0.395417i	0.994478	+	0.104949i	$0.0334678\pi$
$752$	11.9250	+	10.7374i	0.434861	+	0.391551i
$753$	9.44666	+	6.82510i	0.344255	+	0.248721i
$754$	9.36473	−	0.984272i	0.341043	−	0.0358451i
$755$	−1.02176	−	3.14467i	−0.0371858	−	0.114446i
$756$	26.1497	−	19.3193i	0.951054	−	0.702638i
$757$	30.2153	+	21.9527i	1.09819	+	0.797884i	0.980764	−	0.195197i	$-0.0625347\pi$
$757$	30.2153	+	21.9527i	1.09819	+	0.797884i	0.117429	+	0.993081i	$0.462535\pi$
$758$	−26.5495	+	45.9851i	−0.964322	+	1.67025i
$759$	−11.3587	+	1.14857i	−0.412295	+	0.0416905i
$760$	−3.52355	−	6.10297i	−0.127813	−	0.221378i
$761$	−4.66624	+	44.3963i	−0.169151	+	1.60936i	0.499856	+	0.866109i	$0.333386\pi$
$761$	−4.66624	+	44.3963i	−0.169151	+	1.60936i	−0.669007	+	0.743256i	$0.733280\pi$
$762$	34.8843	−	60.7940i	1.26372	−	2.20233i
$763$	69.5098	+	14.7748i	2.51642	+	0.534883i
$764$	−13.5025	−	18.5846i	−0.488503	−	0.672367i
$765$	1.71752	+	7.87420i	0.0620970	+	0.284692i
$766$	−49.1124	+	15.9576i	−1.77450	+	0.576571i
$767$	0.0647022	+	0.0718591i	0.00233626	+	0.00259468i
$768$	7.60423	+	35.3132i	0.274394	+	1.27426i
$769$	19.3337	−	11.1623i	0.697192	−	0.402524i	−0.109109	−	0.994030i	$-0.534800\pi$
$769$	19.3337	−	11.1623i	0.697192	−	0.402524i	0.806301	+	0.591506i	$0.201466\pi$
$770$	−20.7647	+	28.1869i	−0.748308	+	1.01579i
$771$	16.3527	−	18.2589i	0.588927	−	0.657577i
$772$	−3.23767	−	7.27192i	−0.116526	−	0.261722i
$773$	19.1268	+	6.21468i	0.687944	+	0.223526i	0.632070	−	0.774911i	$-0.282206\pi$
$773$	19.1268	+	6.21468i	0.687944	+	0.223526i	0.0558738	+	0.998438i	$0.482206\pi$
$774$	20.5321	+	2.04770i	0.738012	+	0.0736032i
$775$	−15.2820	+	11.1030i	−0.548946	+	0.398832i
$776$	−1.94653	−	18.5200i	−0.0698765	−	0.664830i
$777$	−1.00288	−	9.30381i	−0.0359783	−	0.333772i
$778$	−5.38778	−	25.3475i	−0.193161	−	0.908753i
$779$	−48.2998	−	5.07651i	−1.73052	−	0.181885i
$780$	7.82165	−	2.56442i	0.280060	−	0.0918208i
$781$	12.4915	−	2.56907i	0.446981	−	0.0919285i
$782$		−	8.06192i		−	0.288294i
$783$	1.76337	−	8.63400i	0.0630175	−	0.308554i
$784$	24.9624	−	76.8265i	0.891516	−	2.74380i
$785$	0.527125	−	2.47993i	0.0188139	−	0.0885124i
$786$	−28.5269	+	39.4842i	−1.01752	+	1.40835i
$787$	−14.1620	+	31.8083i	−0.504820	+	1.13384i	0.463946	+	0.885864i	$0.346433\pi$
$787$	−14.1620	+	31.8083i	−0.504820	+	1.13384i	−0.968765	+	0.247980i	$0.920233\pi$
$788$	−19.4670	+	21.6203i	−0.693482	+	0.770190i
$789$	−10.4347	−	5.98755i	−0.371485	−	0.213162i
$790$	−7.61146	+	3.38884i	−0.270803	+	0.120569i
$791$	−15.4756			−0.550249
$792$	9.48218	+	8.55989i	0.336935	+	0.304163i
$793$	3.63312			0.129016
$794$	−3.65819	+	1.62873i	−0.129824	+	0.0578014i
$795$	2.29624	−	1.33389i	0.0814393	−	0.0473081i
$796$	8.04865	−	8.93893i	0.285277	−	0.316832i
$797$	0.319992	−	0.718713i	0.0113347	−	0.0254581i	−0.907789	−	0.419426i	$-0.862231\pi$
$797$	0.319992	−	0.718713i	0.0113347	−	0.0254581i	0.919124	+	0.393968i	$0.128898\pi$
$798$	−69.1381	−	7.08094i	−2.44746	−	0.250662i
$799$	−1.51770	+	7.14022i	−0.0536924	+	0.252603i
$800$	6.97744	−	21.4743i	0.246690	−	0.759233i
$801$	−0.164090	−	30.8621i	−0.00579782	−	1.09046i
$802$		−	57.2351i		−	2.02104i
$803$	2.59559	−	23.2196i	0.0915964	−	0.819402i
$804$	0.967716	−	4.61301i	0.0341287	−	0.162688i
$805$	11.4981	+	1.20850i	0.405255	+	0.0425941i
$806$	−6.13215	−	28.8495i	−0.215996	−	1.01618i
$807$	9.65659	−	7.05522i	0.339928	−	0.248356i
$808$	2.15871	+	20.5388i	0.0759433	+	0.722552i
$809$	24.9035	−	18.0934i	0.875560	−	0.636131i	−0.0565132	−	0.998402i	$-0.517998\pi$
$809$	24.9035	−	18.0934i	0.875560	−	0.636131i	0.932073	+	0.362270i	$0.117998\pi$
$810$	−0.208667	−	19.6226i	−0.00733181	−	0.689467i
$811$	41.4535	+	13.4691i	1.45563	+	0.472963i	0.926732	−	0.375723i	$-0.122606\pi$
$811$	41.4535	+	13.4691i	1.45563	+	0.472963i	0.528898	+	0.848686i	$0.322606\pi$
$812$	4.31600	+	9.69390i	0.151462	+	0.340189i
$813$	7.35214	+	22.4246i	0.257851	+	0.786463i
$814$	−6.40087	+	2.03315i	−0.224351	+	0.0712617i
$815$	15.1897	−	8.76976i	0.532071	−	0.307191i
$816$	−14.1081	+	12.7710i	−0.493881	+	0.447076i
$817$	−11.5858	−	12.8673i	−0.405335	−	0.450170i
$818$	−11.6971	+	3.80063i	−0.408981	+	0.132886i
$819$	−13.5083	+	42.3391i	−0.472020	+	1.47945i
$820$	9.70574	+	13.3588i	0.338939	+	0.466510i
$821$	−38.1089	−	8.10030i	−1.33001	−	0.282702i	−0.512535	−	0.858666i	$-0.671294\pi$
$821$	−38.1089	−	8.10030i	−1.33001	−	0.282702i	−0.817475	+	0.575964i	$0.804627\pi$
$822$	27.0591	+	46.5813i	0.943795	+	1.62471i
$823$	−3.92819	+	37.3742i	−0.136928	+	1.30278i	0.683042	+	0.730379i	$0.260656\pi$
$823$	−3.92819	+	37.3742i	−0.136928	+	1.30278i	−0.819971	+	0.572406i	$0.806010\pi$
$824$	1.33597	+	2.31397i	0.0465408	+	0.0806111i
$825$	−6.23587	−	19.4528i	−0.217105	−	0.677259i
$826$	−0.138795	+	0.240399i	−0.00482928	+	0.00836456i
$827$	36.8905	+	26.8025i	1.28281	+	0.932015i	0.999634	−	0.0270532i	$-0.00861234\pi$
$827$	36.8905	+	26.8025i	1.28281	+	0.932015i	0.283175	+	0.959068i	$0.408612\pi$
$828$	−1.56201	+	7.54575i	−0.0542837	+	0.262233i
$829$	8.83146	+	27.1804i	0.306729	+	0.944016i	0.979026	+	0.203734i	$0.0653078\pi$
$829$	8.83146	+	27.1804i	0.306729	+	0.944016i	−0.672297	+	0.740282i	$0.734692\pi$
$830$	15.7631	−	1.65677i	0.547146	−	0.0575074i
$831$	−18.4203	+	8.26000i	−0.638994	+	0.286536i
$832$	3.84875	+	3.46543i	0.133431	+	0.120142i
$833$	35.9443	−	7.64020i	1.24540	−	0.264717i
$834$	−9.98667	+	31.0161i	−0.345810	+	1.07400i
$835$	0.928554	+	0.536101i	0.0321339	+	0.0185525i
$836$	1.91808	+	19.4861i	0.0663382	+	0.673941i
$837$	−27.4728	−	2.66617i	−0.949600	−	0.0921563i
$838$	30.5125	−	41.9968i	1.05404	−	1.45076i
$839$	4.22962	−	3.80837i	0.146023	−	0.131480i	−0.592882	−	0.805289i	$-0.702010\pi$
$839$	4.22962	−	3.80837i	0.146023	−	0.131480i	0.738905	+	0.673810i	$0.235343\pi$
$840$	−7.63161	−	10.4455i	−0.263316	−	0.360404i
$841$	−23.8653	−	10.6255i	−0.822943	−	0.366398i
$842$	9.27164	+	4.12800i	0.319522	+	0.142260i
$843$	−37.6110	+	4.05419i	−1.29539	+	0.139634i
$844$	−13.4573	+	12.1170i	−0.463220	+	0.417085i
$845$	2.56856	−	3.53532i	0.0883612	−	0.121619i
$846$	7.14297	−	16.2757i	0.245580	−	0.559571i
$847$	−46.4662	+	26.0153i	−1.59660	+	0.893895i
$848$	5.43030	+	3.13518i	0.186477	+	0.107663i
$849$	39.7482	−	8.55925i	1.36416	−	0.293753i
$850$	14.1100	−	2.99918i	0.483969	−	0.102871i
$851$	1.64820	+	1.48405i	0.0564996	+	0.0508725i
$852$	0.876988	−	8.56290i	0.0300451	−	0.293360i
$853$	−24.9261	+	2.61983i	−0.853452	+	0.0897014i	−0.521143	−	0.853469i	$-0.674494\pi$
$853$	−24.9261	+	2.61983i	−0.853452	+	0.0897014i	−0.332309	+	0.943171i	$0.607828\pi$
$854$	3.22297	+	9.91929i	0.110288	+	0.339431i
$855$	−10.9533	+	12.2957i	−0.374594	+	0.420504i
$856$	0.434810	+	0.315908i	0.0148615	+	0.0107975i
$857$	−17.9582	+	31.1045i	−0.613440	+	1.06251i	0.377216	+	0.926126i	$0.376882\pi$
$857$	−17.9582	+	31.1045i	−0.613440	+	1.06251i	−0.990656	+	0.136385i	$0.956452\pi$
$858$	31.7077	+	3.45911i	1.08248	+	0.118092i
$859$	7.86620	+	13.6247i	0.268391	+	0.464868i	0.968447	−	0.249221i	$-0.0801746\pi$
$859$	7.86620	+	13.6247i	0.268391	+	0.464868i	−0.700055	+	0.714089i	$0.746841\pi$
$860$	−0.615358	+	5.85474i	−0.0209835	+	0.199645i
$861$	−89.1520	+	0.237003i	−3.03829	+	0.00807703i
$862$	−34.6244	−	7.35963i	−1.17931	−	0.250670i
$863$	16.0883	+	22.1436i	0.547652	+	0.753778i	0.989691	−	0.143217i	$-0.0457448\pi$
$863$	16.0883	+	22.1436i	0.547652	+	0.753778i	−0.442039	+	0.896996i	$0.645745\pi$
$864$	28.4408	−	16.7242i	0.967577	−	0.568968i
$865$	15.1397	−	4.91919i	0.514765	−	0.167257i
$866$	27.3824	+	30.4112i	0.930491	+	1.03342i
$867$	19.7876	+	6.37128i	0.672023	+	0.216380i
$868$	28.7841	−	16.6185i	0.976995	−	0.564068i
$869$	−12.6732	−	0.0836764i	−0.429909	−	0.00283853i
$870$	6.26832	+	1.31497i	0.212516	+	0.0445815i
$871$	2.62057	+	5.88589i	0.0887945	+	0.199436i
$872$	17.9232	+	5.82361i	0.606957	+	0.197212i
$873$	−39.6573	+	17.9098i	−1.34219	+	0.606155i
$874$	13.3263	−	9.68210i	0.450768	−	0.327502i
$875$	5.20282	+	49.5015i	0.175887	+	1.67346i
$876$	−14.4235	−	6.37585i	−0.487324	−	0.215420i
$877$	−10.8203	−	50.9056i	−0.365376	−	1.71896i	−0.649665	−	0.760221i	$-0.725091\pi$
$877$	−10.8203	−	50.9056i	−0.365376	−	1.71896i	0.284289	−	0.958739i	$-0.408242\pi$
$878$	−54.1137	−	5.68757i	−1.82625	−	0.191946i
$879$	−2.18911	−	1.96057i	−0.0738367	−	0.0661283i
$880$	−13.2016	+	14.4686i	−0.445027	+	0.487737i
$881$			39.9758i			1.34682i	0.739270	+	0.673409i	$0.235171\pi$
$881$			39.9758i			1.34682i	−0.739270	+	0.673409i	$0.764829\pi$
$882$	−89.4750	+	0.475725i	−3.01278	+	0.0160185i
$883$	−5.74452	+	17.6798i	−0.193318	+	0.594973i	0.806674	+	0.590997i	$0.201266\pi$
$883$	−5.74452	+	17.6798i	−0.193318	+	0.594973i	−0.999992	+	0.00397571i	$0.998734\pi$
$884$	−1.83826	+	8.64832i	−0.0618273	+	0.290875i
$885$	0.0269109	+	0.0600130i	0.000904599	+	0.00201731i
$886$	23.2830	−	52.2944i	0.782206	−	1.75686i
$887$	36.4857	−	40.5215i	1.22507	−	1.36058i	0.313419	−	0.949615i	$-0.398526\pi$
$887$	36.4857	−	40.5215i	1.22507	−	1.36058i	0.911652	−	0.410964i	$-0.134808\pi$
$888$	−0.00659717	−	2.48162i	−0.000221386	−	0.0832778i
$889$	−98.6344	+	43.9149i	−3.30809	+	1.47286i
$890$	22.4310			0.751890
$891$	12.0309	−	27.3177i	0.403051	−	0.915178i
$892$	−20.8507			−0.698132
$893$	−13.6254	+	6.06643i	−0.455958	+	0.203005i
$894$	−0.000338020	−	0.127151i	−1.13051e−5	−	0.00425257i
$895$	−16.1975	+	17.9892i	−0.541424	+	0.601312i
$896$	18.9588	−	42.5822i	0.633369	−	1.42257i
$897$	−4.30979	−	9.61110i	−0.143900	−	0.320905i
$898$	−14.3360	+	67.4457i	−0.478399	+	2.25069i
$899$	2.78384	−	8.56777i	0.0928461	−	0.285751i
$900$	−13.7877	+	0.0733072i	−0.459590	+	0.00244357i
$901$			2.85243i			0.0950281i
$902$	12.8896	+	62.6728i	0.429177	+	2.08678i
$903$	−23.6770	−	21.2051i	−0.787920	−	0.705663i
$904$	−4.08159	−	0.428993i	−0.135752	−	0.0142681i
$905$	1.12334	+	5.28492i	0.0373412	+	0.175677i
$906$	−7.90954	−	3.49639i	−0.262777	−	0.116160i
$907$	1.29961	+	12.3650i	0.0431530	+	0.410573i	0.994680	+	0.103009i	$0.0328471\pi$
$907$	1.29961	+	12.3650i	0.0431530	+	0.410573i	−0.951527	+	0.307564i	$0.900486\pi$
$908$	−15.3860	+	11.1786i	−0.510603	+	0.370975i
$909$	43.9801	−	19.8621i	1.45873	−	0.658783i
$910$	−30.7195	−	9.98139i	−1.01834	−	0.330880i
$911$	−18.2983	−	41.0986i	−0.606249	−	1.36166i	−0.912253	−	0.409628i	$-0.865659\pi$
$911$	−18.2983	−	41.0986i	−0.606249	−	1.36166i	0.306004	−	0.952030i	$-0.401008\pi$
$912$	−38.0537	−	7.98290i	−1.26008	−	0.264340i
$913$	22.8797	+	7.60144i	0.757208	+	0.251571i
$914$	−61.6402	+	35.5880i	−2.03887	+	1.17715i
$915$	2.35224	+	0.757383i	0.0777628	+	0.0250383i
$916$	19.1980	+	21.3215i	0.634319	+	0.704483i
$917$	71.3622	−	23.1870i	2.35659	−	0.765702i
$918$	18.3380	+	10.3933i	0.605244	+	0.343031i
$919$	13.6185	+	18.7442i	0.449232	+	0.618315i	0.972232	−	0.234017i	$-0.0751872\pi$
$919$	13.6185	+	18.7442i	0.449232	+	0.618315i	−0.523000	+	0.852333i	$0.675187\pi$
$920$	2.99906	+	0.637469i	0.0988760	+	0.0210167i
$921$	−4.07517	+	0.0108335i	−0.134282	+	0.000356975i
$922$	3.32907	−	31.6740i	0.109637	−	1.04313i
$923$	5.88304	+	10.1897i	0.193643	+	0.335399i
$924$	7.33436	+	35.1873i	0.241283	+	1.15758i
$925$	−1.98423	+	3.43678i	−0.0652410	+	0.113001i
$926$	7.44610	+	5.40991i	0.244694	+	0.177781i
$927$	4.15299	−	4.66197i	0.136402	−	0.153119i
$928$	3.32763	+	10.2414i	0.109235	+	0.336190i
$929$	−11.5041	+	1.20913i	−0.377438	+	0.0396703i	−0.291348	−	0.956617i	$-0.594104\pi$
$929$	−11.5041	+	1.20913i	−0.377438	+	0.0396703i	−0.0860898	+	0.996287i	$0.527437\pi$
$930$	2.04392	−	19.9568i	0.0670227	−	0.654408i
$931$	55.7971	+	50.2400i	1.82868	+	1.64655i
$932$	−6.53392	+	1.38883i	−0.214026	+	0.0454926i
$933$	−17.9591	+	3.86725i	−0.587953	+	0.126608i
$934$	26.6487	+	15.3856i	0.871971	+	0.503433i
$935$	−8.70280	−	1.90998i	−0.284612	−	0.0624630i
$936$	−4.73641	+	10.7922i	−0.154814	+	0.352754i
$937$	15.1544	−	20.8582i	0.495071	−	0.681407i	−0.486242	−	0.873824i	$-0.661633\pi$
$937$	15.1544	−	20.8582i	0.495071	−	0.681407i	0.981313	+	0.192417i	$0.0616326\pi$
$938$	−13.7451	+	12.3762i	−0.448795	+	0.404097i
$939$	43.6273	−	4.70271i	1.42372	−	0.153467i
$940$	4.63265	+	2.06259i	0.151100	+	0.0672743i
$941$	54.0436	+	24.0617i	1.76177	+	0.784391i	0.988670	+	0.150107i	$0.0479617\pi$
$941$	54.0436	+	24.0617i	1.76177	+	0.784391i	0.773100	+	0.634284i	$0.218705\pi$
$942$	−3.91182	−	5.35417i	−0.127454	−	0.174448i
$943$	15.7027	−	14.1387i	0.511349	−	0.460421i
$944$	−0.0912824	+	0.125639i	−0.00297099	+	0.00408921i
$945$	−17.5722	+	24.5961i	−0.571622	+	0.800112i
$946$	−11.5361	+	19.6798i	−0.375069	+	0.639845i
$947$	0.104615	+	0.0603997i	0.00339954	+	0.00196272i	0.501699	−	0.865042i	$-0.332709\pi$
$947$	0.104615	+	0.0603997i	0.00339954	+	0.00196272i	−0.498299	+	0.867005i	$0.666042\pi$
$948$	−2.62171	+	8.14238i	−0.0851491	+	0.264452i
$949$	21.0852	−	4.48179i	0.684454	−	0.145485i
$950$	21.9033	+	19.7218i	0.710636	+	0.639860i
$951$	42.3752	−	19.0018i	1.37411	−	0.616175i
$952$	13.8193	−	1.45247i	0.447886	−	0.0470747i
$953$	−2.50261	−	7.70223i	−0.0810674	−	0.249500i	0.902306	−	0.431097i	$-0.141873\pi$
$953$	−2.50261	−	7.70223i	−0.0810674	−	0.249500i	−0.983373	+	0.181597i	$0.941873\pi$
$954$	1.40789	−	6.80119i	0.0455820	−	0.220197i
$955$	17.2791	+	12.5540i	0.559138	+	0.406237i
$956$	−8.83074	+	15.2953i	−0.285607	+	0.494685i
$957$	7.85903	+	5.75742i	0.254046	+	0.186111i
$958$	−16.4028	−	28.4104i	−0.529949	−	0.917899i
$959$	8.67396	−	82.5272i	0.280097	−	2.66494i
$960$	1.76943	+	3.04601i	0.0571080	+	0.0983095i
$961$	2.72196	+	0.578570i	0.0878050	+	0.0186635i
$962$	−3.64210	−	5.01292i	−0.117426	−	0.161623i
$963$	0.381728	−	1.19644i	0.0123010	−	0.0385549i
$964$	8.66885	−	2.81668i	0.279205	−	0.0907192i
$965$	4.95219	+	5.49997i	0.159417	+	0.177050i
$966$	22.4173	−	20.2928i	0.721266	−	0.652911i
$967$	−8.61320	+	4.97284i	−0.276982	+	0.159916i	−0.632056	−	0.774922i	$-0.717789\pi$
$967$	−8.61320	+	4.97284i	−0.276982	+	0.159916i	0.355074	+	0.934838i	$0.384456\pi$
$968$	−12.9763	+	5.57330i	−0.417075	+	0.179133i
$969$	−5.51049	−	16.8074i	−0.177022	−	0.539931i
$970$	−12.8635	−	28.8918i	−0.413021	−	0.927661i
$971$	−36.6171	−	11.8976i	−1.17510	−	0.381813i	−0.344555	−	0.938766i	$-0.611970\pi$
$971$	−36.6171	−	11.8976i	−1.17510	−	0.381813i	−0.830544	+	0.556953i	$0.811970\pi$
$972$	−15.1501	−	13.2809i	−0.485941	−	0.425985i
$973$	40.6068	−	29.5025i	1.30179	−	0.945808i
$974$	−4.93170	−	46.9220i	−0.158022	−	1.50348i
$975$	15.2181	−	11.1185i	0.487369	−	0.356077i
$976$	1.21316	+	5.70748i	0.0388324	+	0.182692i
$977$	−20.2002	−	2.12313i	−0.646263	−	0.0679250i	−0.224274	−	0.974526i	$-0.572001\pi$
$977$	−20.2002	−	2.12313i	−0.646263	−	0.0679250i	−0.421989	+	0.906601i	$0.638668\pi$
$978$	9.41824	−	44.8959i	0.301162	−	1.43561i
$979$	31.0777	+	14.0833i	0.993249	+	0.450104i
$980$		−	25.5281i		−	0.815464i
$981$	−0.234131	−	44.0356i	−0.00747523	−	1.40595i
$982$	−4.11112	+	12.6527i	−0.131191	+	0.403765i
$983$	2.02155	−	9.51064i	0.0644774	−	0.303342i	−0.934078	−	0.357068i	$-0.883776\pi$
$983$	2.02155	−	9.51064i	0.0644774	−	0.303342i	0.998556	+	0.0537258i	$0.0171097\pi$
$984$	−23.5199	−	2.40884i	−0.749786	−	0.0767910i
$985$	11.0019	−	24.7107i	0.350550	−	0.787349i
$986$	−4.60334	+	5.11252i	−0.146600	+	0.162816i
$987$	−23.6747	+	13.7526i	−0.753574	+	0.437751i
$988$	−16.5033	+	7.34773i	−0.525039	+	0.233763i
$989$	7.53327			0.239544
$990$	19.8078	+	8.84955i	0.629534	+	0.281257i
$991$	−22.9196			−0.728065			−0.364032	−	0.931386i	$-0.618600\pi$
$991$	−22.9196			−0.728065			−0.364032	+	0.931386i	$0.618600\pi$
$992$	30.8131	−	13.7189i	0.978317	−	0.435575i
$993$	−26.0254	−	14.9336i	−0.825890	−	0.473905i
$994$	−22.6015	+	25.1015i	−0.716876	+	0.796171i
$995$	−4.54876	+	10.2167i	−0.144205	+	0.323891i
$996$	9.52987	−	13.1903i	0.301966	−	0.417952i
$997$	4.47047	−	21.0319i	0.141581	−	0.666087i	−0.848913	−	0.528532i	$-0.822743\pi$
$997$	4.47047	−	21.0319i	0.141581	−	0.666087i	0.990494	−	0.137554i	$-0.0439242\pi$
$998$	5.28139	−	16.2544i	0.167179	−	0.514525i
$999$	−5.50052	+	1.83585i	−0.174029	+	0.0580838i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	99.2.p.a.29.3	✓	80
3.2	odd	2		297.2.t.a.62.8		80
9.2	odd	6		891.2.k.a.161.5		80
9.4	even	3		297.2.t.a.260.8		80
9.5	odd	6	inner	99.2.p.a.95.3	yes	80
9.7	even	3		891.2.k.a.161.16		80
11.8	odd	10	inner	99.2.p.a.74.3	yes	80
33.8	even	10		297.2.t.a.8.8		80
99.41	even	30	inner	99.2.p.a.41.3	yes	80
99.52	odd	30		891.2.k.a.404.5		80
99.74	even	30		891.2.k.a.404.16		80
99.85	odd	30		297.2.t.a.206.8		80

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
99.2.p.a.29.3	✓	80	1.1	even	1	trivial
99.2.p.a.41.3	yes	80	99.41	even	30	inner
99.2.p.a.74.3	yes	80	11.8	odd	10	inner
99.2.p.a.95.3	yes	80	9.5	odd	6	inner
297.2.t.a.8.8		80	33.8	even	10
297.2.t.a.62.8		80	3.2	odd	2
297.2.t.a.206.8		80	99.85	odd	30
297.2.t.a.260.8		80	9.4	even	3
891.2.k.a.161.5		80	9.2	odd	6
891.2.k.a.161.16		80	9.7	even	3
891.2.k.a.404.5		80	99.52	odd	30
891.2.k.a.404.16		80	99.74	even	30

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 99 = 3^{2} \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	99.p (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.65764 + 0.738027i) q^{2} +(-0.00460448 - 1.73204i) q^{3} +(0.864813 - 0.960472i) q^{4} +(-0.488756 + 1.09776i) q^{5} +(1.28593 + 2.86770i) q^{6} +(1.00654 - 4.73540i) q^{7} +(0.396737 - 1.22103i) q^{8} +(-2.99996 + 0.0159503i) q^{9} -2.18041i q^{10} +(1.36897 - 3.02091i) q^{11} +(-1.66756 - 1.49347i) q^{12} +(3.04321 + 0.319854i) q^{13} +(1.82638 + 8.59243i) q^{14} +(1.90363 + 0.841493i) q^{15} +(0.513703 + 4.88755i) q^{16} +(-1.80866 + 1.31407i) q^{17} +(4.96107 - 2.24049i) q^{18} +(-4.34428 - 1.41154i) q^{19} +(0.631690 + 1.41880i) q^{20} +(-8.20657 - 1.72157i) q^{21} +(-0.0397341 + 6.01791i) q^{22} +(1.72112 - 0.993689i) q^{23} +(-2.11671 - 0.681544i) q^{24} +(2.37945 + 2.64264i) q^{25} +(-5.28060 + 1.71577i) q^{26} +(0.0414400 + 5.19599i) q^{27} +(-3.67776 - 5.06200i) q^{28} +(-1.65886 - 0.352601i) q^{29} +(-3.77657 + 0.0100397i) q^{30} +(-0.555254 + 5.28289i) q^{31} +(-3.17481 - 5.49894i) q^{32} +(-5.23866 - 2.35720i) q^{33} +(2.02828 - 3.51308i) q^{34} +(4.70641 + 3.41941i) q^{35} +(-2.57908 + 2.89517i) q^{36} +(0.344857 + 1.06136i) q^{37} +(8.24299 - 0.866373i) q^{38} +(0.539989 - 5.27245i) q^{39} +(1.14650 + 1.03231i) q^{40} +(10.3998 - 2.21054i) q^{41} +(14.8741 - 3.20293i) q^{42} +(3.28272 + 1.89528i) q^{43} +(-1.71760 - 3.92738i) q^{44} +(1.44874 - 3.30104i) q^{45} +(-2.11962 + 2.91741i) q^{46} +(2.42651 - 2.18484i) q^{47} +(8.46310 - 0.912261i) q^{48} +(-15.0161 - 6.68560i) q^{49} +(-5.89460 - 2.62445i) q^{50} +(2.28435 + 3.12662i) q^{51} +(2.93902 - 2.64630i) q^{52} +(0.749954 - 1.03222i) q^{53} +(-3.90347 - 8.58247i) q^{54} +(2.64716 + 2.97930i) q^{55} +(-5.38274 - 3.10773i) q^{56} +(-2.42485 + 7.53098i) q^{57} +(3.01001 - 0.639797i) q^{58} +(0.0234836 + 0.0211447i) q^{59} +(2.45451 - 1.10065i) q^{60} +(1.18080 - 0.124107i) q^{61} +(-2.97851 - 9.16690i) q^{62} +(-2.94405 + 14.2221i) q^{63} +(1.36926 + 0.994827i) q^{64} +(-1.83851 + 3.18440i) q^{65} +(10.4235 + 0.0411118i) q^{66} +(1.05277 + 1.82345i) q^{67} +(-0.302026 + 2.87359i) q^{68} +(-1.72904 - 2.97648i) q^{69} +(-10.3251 - 2.19467i) q^{70} +(2.26013 + 3.11080i) q^{71} +(-1.17072 + 3.66937i) q^{72} +(6.69980 - 2.17690i) q^{73} +(-1.35496 - 1.50483i) q^{74} +(4.56622 - 4.13348i) q^{75} +(-5.11273 + 2.95184i) q^{76} +(-12.9273 - 9.52329i) q^{77} +(2.99610 + 9.13833i) q^{78} +(-1.55422 - 3.49084i) q^{79} +(-5.61646 - 1.82490i) q^{80} +(8.99949 - 0.0957007i) q^{81} +(-15.6076 + 11.3396i) q^{82} +(0.759844 + 7.22943i) q^{83} +(-8.75067 + 6.39334i) q^{84} +(-0.558543 - 2.62774i) q^{85} +(-6.84032 - 0.718946i) q^{86} +(-0.603082 + 2.87484i) q^{87} +(-3.14551 - 2.87006i) q^{88} +10.2875i q^{89} +(0.0347783 + 6.54114i) q^{90} +(4.57775 - 14.0889i) q^{91} +(0.534037 - 2.51244i) q^{92} +(9.15276 + 0.937400i) q^{93} +(-2.40980 + 5.41250i) q^{94} +(3.67283 - 4.07909i) q^{95} +(-9.50979 + 5.52424i) q^{96} +(13.2506 - 5.89957i) q^{97} +29.8254 q^{98} +(-4.05866 + 9.08445i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 80 q - 15 q^{2} - 3 q^{3} + 5 q^{4} - 6 q^{5} - 15 q^{6} - 5 q^{7} - q^{9} - 3 q^{11} - 54 q^{12} - 5 q^{13} - 9 q^{14} + 5 q^{16} - 50 q^{19} - 3 q^{20} - 11 q^{22} - 42 q^{23} - 5 q^{24} - 2 q^{25} + 3 q^{27}+ \cdots + 35 q^{99}+O(q^{100}) \) 80 * q - 15 * q^2 - 3 * q^3 + 5 * q^4 - 6 * q^5 - 15 * q^6 - 5 * q^7 - q^9 - 3 * q^11 - 54 * q^12 - 5 * q^13 - 9 * q^14 + 5 * q^16 - 50 * q^19 - 3 * q^20 - 11 * q^22 - 42 * q^23 - 5 * q^24 - 2 * q^25 + 3 * q^27 - 20 * q^28 + 30 * q^29 + 50 * q^30 - 6 * q^31 + 4 * q^33 - 10 * q^34 - 17 * q^36 - 6 * q^37 + 9 * q^38 + 85 * q^39 + 15 * q^40 - 15 * q^41 + 19 * q^42 - 12 * q^45 - 40 * q^46 - 21 * q^47 + 70 * q^48 - q^49 + 60 * q^50 - 45 * q^51 - 5 * q^52 - 18 * q^55 + 90 * q^56 + 60 * q^57 - 29 * q^58 + 81 * q^59 + 43 * q^60 - 5 * q^61 + 15 * q^63 - 8 * q^64 - 39 * q^66 + 10 * q^67 + 180 * q^68 - 20 * q^69 + 30 * q^70 + 5 * q^72 - 20 * q^73 - 15 * q^74 - 30 * q^75 + 33 * q^77 + 152 * q^78 - 5 * q^79 - 73 * q^81 - 2 * q^82 - 60 * q^83 - 135 * q^84 - 5 * q^85 - 48 * q^86 - 59 * q^88 - 70 * q^90 + 52 * q^91 - 213 * q^92 - 34 * q^93 - 5 * q^94 - 135 * q^95 - 145 * q^96 + 27 * q^97 + 35 * q^99

Introduction

L-functions

Modular forms

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Database

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