LMFDB - Embedded newform 300.2.n.a.11.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [300,2,Mod(11,300)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(300, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([5, 5, 8]))

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

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

chi := DirichletCharacter("300.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 300 = 2^{2} \cdot 3 \cdot 5^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	300.n (of order $10$, degree $4$, 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:	$2.39551206064$
Analytic rank:	$0$
Dimension:	$224$
Relative dimension:	$56$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			11.3
Character	$\chi$	$=$	300.11
Dual form			300.2.n.a.191.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.39445 + 0.235585i) q^{2} +(-1.04145 - 1.38397i) q^{3} +(1.88900 - 0.657024i) q^{4} +(1.89530 - 1.18653i) q^{5} +(1.77830 + 1.68454i) q^{6} +4.72716i q^{7} +(-2.47934 + 1.36121i) q^{8} +(-0.830762 + 2.88268i) q^{9} +O(q^{10})$	\(q+(-1.39445 + 0.235585i) q^{2} +(-1.04145 - 1.38397i) q^{3} +(1.88900 - 0.657024i) q^{4} +(1.89530 - 1.18653i) q^{5} +(1.77830 + 1.68454i) q^{6} +4.72716i q^{7} +(-2.47934 + 1.36121i) q^{8} +(-0.830762 + 2.88268i) q^{9} +(-2.36338 + 2.10106i) q^{10} +(2.39258 - 1.73831i) q^{11} +(-2.87660 - 1.93007i) q^{12} +(3.16282 + 2.29792i) q^{13} +(-1.11365 - 6.59181i) q^{14} +(-3.61598 - 1.38733i) q^{15} +(3.13664 - 2.48223i) q^{16} +(-0.528610 + 0.171756i) q^{17} +(0.479344 - 4.21547i) q^{18} +(-1.14860 + 0.373201i) q^{19} +(2.80064 - 3.48661i) q^{20} +(6.54227 - 4.92311i) q^{21} +(-2.92683 + 2.98765i) q^{22} +(-0.664017 + 0.482436i) q^{23} +(4.46598 + 2.01370i) q^{24} +(2.18430 - 4.49765i) q^{25} +(-4.95175 - 2.45923i) q^{26} +(4.85475 - 1.85241i) q^{27} +(3.10586 + 8.92961i) q^{28} +(6.07319 + 1.97330i) q^{29} +(5.36915 + 1.08270i) q^{30} +(4.42801 - 1.43875i) q^{31} +(-3.78912 + 4.20030i) q^{32} +(-4.89754 - 1.50090i) q^{33} +(0.696659 - 0.364038i) q^{34} +(5.60891 + 8.95938i) q^{35} +(0.324678 + 5.99121i) q^{36} +(3.51289 + 2.55226i) q^{37} +(1.51374 - 0.791004i) q^{38} +(-0.113656 - 6.77042i) q^{39} +(-3.08397 + 5.52170i) q^{40} +(-1.90569 + 2.62296i) q^{41} +(-7.96308 + 8.40630i) q^{42} -9.83201i q^{43} +(3.37748 - 4.85566i) q^{44} +(1.84584 + 6.44925i) q^{45} +(0.812286 - 0.829167i) q^{46} +(1.36526 - 4.20183i) q^{47} +(-6.70200 - 1.75590i) q^{48} -15.3461 q^{49} +(-1.98633 + 6.78634i) q^{50} +(0.788227 + 0.552707i) q^{51} +(7.48435 + 2.26273i) q^{52} +(-7.98997 - 2.59610i) q^{53} +(-6.33332 + 3.72681i) q^{54} +(2.47210 - 6.13349i) q^{55} +(-6.43465 - 11.7202i) q^{56} +(1.71271 + 1.20095i) q^{57} +(-8.93365 - 1.32092i) q^{58} +(-0.804579 - 0.584561i) q^{59} +(-7.74209 - 0.244882i) q^{60} +(-4.40480 + 3.20028i) q^{61} +(-5.83570 + 3.04943i) q^{62} +(-13.6269 - 3.92715i) q^{63} +(4.29422 - 6.74979i) q^{64} +(8.72102 + 0.602474i) q^{65} +(7.18298 + 0.939156i) q^{66} +(-0.581557 + 0.188959i) q^{67} +(-0.885697 + 0.671757i) q^{68} +(1.35922 + 0.416548i) q^{69} +(-9.93206 - 11.1721i) q^{70} +(-4.78758 + 14.7347i) q^{71} +(-1.86419 - 8.27797i) q^{72} +(8.18277 - 5.94513i) q^{73} +(-5.49983 - 2.73143i) q^{74} +(-8.49946 + 1.66106i) q^{75} +(-1.92450 + 1.45963i) q^{76} +(8.21730 + 11.3101i) q^{77} +(1.75350 + 9.41426i) q^{78} +(14.2920 + 4.64377i) q^{79} +(2.99962 - 8.42628i) q^{80} +(-7.61967 - 4.78964i) q^{81} +(2.03947 - 4.10654i) q^{82} +(0.119077 + 0.366481i) q^{83} +(9.12374 - 13.5982i) q^{84} +(-0.798081 + 0.952740i) q^{85} +(2.31627 + 13.7103i) q^{86} +(-3.59393 - 10.4602i) q^{87} +(-3.56582 + 7.56667i) q^{88} +(-5.82238 - 8.01381i) q^{89} +(-4.09328 - 8.55833i) q^{90} +(-10.8626 + 14.9511i) q^{91} +(-0.937355 + 1.34760i) q^{92} +(-6.60273 - 4.62986i) q^{93} +(-0.913902 + 6.18090i) q^{94} +(-1.73412 + 2.07017i) q^{95} +(9.75929 + 0.869632i) q^{96} +(-4.82234 + 14.8416i) q^{97} +(21.3994 - 3.61530i) q^{98} +(3.02333 + 8.34118i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 224 q - 6 q^{4} + q^{6} - 6 q^{9}+O(q^{10}) $ 224 * q - 6 * q^4 + q^6 - 6 * q^9	$ 224 q - 6 q^{4} + q^{6} - 6 q^{9} - 8 q^{10} - 9 q^{12} - 12 q^{13} - 18 q^{16} - 26 q^{18} + 12 q^{21} - 6 q^{22} - 16 q^{24} - 12 q^{25} + 2 q^{28} - 13 q^{30} + 6 q^{33} - 30 q^{34} + 35 q^{36} + 12 q^{37} - 24 q^{40} - 13 q^{42} - 6 q^{45} - 18 q^{46} - 34 q^{48} - 168 q^{49} - 28 q^{52} - 38 q^{54} - 44 q^{57} - 34 q^{58} - 76 q^{60} + 4 q^{61} + 18 q^{64} - 46 q^{66} - 18 q^{69} + 72 q^{70} - 29 q^{72} - 20 q^{73} + 16 q^{76} + 5 q^{78} - 30 q^{81} - 20 q^{82} - 18 q^{84} - 76 q^{85} + 6 q^{88} + 2 q^{90} - 52 q^{93} + 96 q^{94} - 50 q^{96} - 72 q^{97}+O(q^{100}) $ 224 * q - 6 * q^4 + q^6 - 6 * q^9 - 8 * q^10 - 9 * q^12 - 12 * q^13 - 18 * q^16 - 26 * q^18 + 12 * q^21 - 6 * q^22 - 16 * q^24 - 12 * q^25 + 2 * q^28 - 13 * q^30 + 6 * q^33 - 30 * q^34 + 35 * q^36 + 12 * q^37 - 24 * q^40 - 13 * q^42 - 6 * q^45 - 18 * q^46 - 34 * q^48 - 168 * q^49 - 28 * q^52 - 38 * q^54 - 44 * q^57 - 34 * q^58 - 76 * q^60 + 4 * q^61 + 18 * q^64 - 46 * q^66 - 18 * q^69 + 72 * q^70 - 29 * q^72 - 20 * q^73 + 16 * q^76 + 5 * q^78 - 30 * q^81 - 20 * q^82 - 18 * q^84 - 76 * q^85 + 6 * q^88 + 2 * q^90 - 52 * q^93 + 96 * q^94 - 50 * q^96 - 72 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/300\mathbb{Z}\right)^\times$.

$n$	$101$	$151$	$277$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{4}{5}\right)$

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 $

$2$	−1.39445	+	0.235585i	−0.986027	+	0.166584i
$2$	−1.39445	+	0.235585i	−0.986027	+	0.166584i
$3$	−1.04145	−	1.38397i	−0.601282	−	0.799037i
$3$	−1.04145	−	1.38397i	−0.601282	−	0.799037i
$4$	1.88900	−	0.657024i	0.944500	−	0.328512i
$5$	1.89530	−	1.18653i	0.847603	−	0.530631i
$5$	1.89530	−	1.18653i	0.847603	−	0.530631i
$6$	1.77830	+	1.68454i	0.725987	+	0.687709i
$7$			4.72716i			1.78670i	0.449361	+	0.893350i	$0.351652\pi$
$7$			4.72716i			1.78670i	−0.449361	+	0.893350i	$0.648348\pi$
$8$	−2.47934	+	1.36121i	−0.876578	+	0.481260i
$9$	−0.830762	+	2.88268i	−0.276921	+	0.960893i
$10$	−2.36338	+	2.10106i	−0.747365	+	0.664414i
$11$	2.39258	−	1.73831i	0.721391	−	0.524122i	−0.165437	−	0.986220i	$-0.552903\pi$
$11$	2.39258	−	1.73831i	0.721391	−	0.524122i	0.886828	+	0.462099i	$0.152903\pi$
$12$	−2.87660	−	1.93007i	−0.830404	−	0.557162i
$13$	3.16282	+	2.29792i	0.877207	+	0.637328i	0.932511	−	0.361141i	$-0.117613\pi$
$13$	3.16282	+	2.29792i	0.877207	+	0.637328i	−0.0553039	+	0.998470i	$0.517613\pi$
$14$	−1.11365	−	6.59181i	−0.297635	−	1.76174i
$15$	−3.61598	−	1.38733i	−0.933642	−	0.358207i
$16$	3.13664	−	2.48223i	0.784160	−	0.620559i
$17$	−0.528610	+	0.171756i	−0.128207	+	0.0416569i	−0.372418	−	0.928065i	$-0.621471\pi$
$17$	−0.528610	+	0.171756i	−0.128207	+	0.0416569i	0.244211	+	0.969722i	$0.421471\pi$
$18$	0.479344	−	4.21547i	0.112982	−	0.993597i
$19$	−1.14860	+	0.373201i	−0.263506	+	0.0856183i	−0.437790	−	0.899077i	$-0.644239\pi$
$19$	−1.14860	+	0.373201i	−0.263506	+	0.0856183i	0.174284	+	0.984695i	$0.444239\pi$
$20$	2.80064	−	3.48661i	0.626242	−	0.779629i
$21$	6.54227	−	4.92311i	1.42764	−	1.07431i
$22$	−2.92683	+	2.98765i	−0.624002	+	0.636970i
$23$	−0.664017	+	0.482436i	−0.138457	+	0.100595i	−0.654858	−	0.755752i	$-0.727272\pi$
$23$	−0.664017	+	0.482436i	−0.138457	+	0.100595i	0.516401	+	0.856347i	$0.327272\pi$
$24$	4.46598	+	2.01370i	0.911615	+	0.411046i
$25$	2.18430	−	4.49765i	0.436861	−	0.899529i
$26$	−4.95175	−	2.45923i	−0.971119	−	0.482295i
$27$	4.85475	−	1.85241i	0.934296	−	0.356497i
$28$	3.10586	+	8.92961i	0.586952	+	1.68754i
$29$	6.07319	+	1.97330i	1.12776	+	0.366432i	0.812725	−	0.582647i	$-0.197983\pi$
$29$	6.07319	+	1.97330i	1.12776	+	0.366432i	0.315037	+	0.949079i	$0.397983\pi$
$30$	5.36915	+	1.08270i	0.980268	+	0.197673i
$31$	4.42801	−	1.43875i	0.795293	−	0.258406i	0.116937	−	0.993139i	$-0.462693\pi$
$31$	4.42801	−	1.43875i	0.795293	−	0.258406i	0.678356	+	0.734733i	$0.262693\pi$
$32$	−3.78912	+	4.20030i	−0.669828	+	0.742516i
$33$	−4.89754	−	1.50090i	−0.852552	−	0.261274i
$34$	0.696659	−	0.364038i	0.119476	−	0.0624320i
$35$	5.60891	+	8.95938i	0.948079	+	1.51441i
$36$	0.324678	+	5.99121i	0.0541131	+	0.998535i
$37$	3.51289	+	2.55226i	0.577515	+	0.419589i	0.837827	−	0.545935i	$-0.183826\pi$
$37$	3.51289	+	2.55226i	0.577515	+	0.419589i	−0.260312	+	0.965524i	$0.583826\pi$
$38$	1.51374	−	0.791004i	0.245561	−	0.128318i
$39$	−0.113656	−	6.77042i	−0.0181996	−	1.08414i
$40$	−3.08397	+	5.52170i	−0.487618	+	0.873057i
$41$	−1.90569	+	2.62296i	−0.297619	+	0.409637i	−0.931470	−	0.363818i	$-0.881473\pi$
$41$	−1.90569	+	2.62296i	−0.297619	+	0.409637i	0.633851	+	0.773455i	$0.281473\pi$
$42$	−7.96308	+	8.40630i	−1.22873	+	1.29712i
$43$		−	9.83201i		−	1.49937i	−0.661796	−	0.749684i	$-0.730206\pi$
$43$		−	9.83201i		−	1.49937i	0.661796	−	0.749684i	$-0.269794\pi$
$44$	3.37748	−	4.85566i	0.509174	−	0.732018i
$45$	1.84584	+	6.44925i	0.275161	+	0.961398i
$46$	0.812286	−	0.829167i	0.119765	−	0.122254i
$47$	1.36526	−	4.20183i	0.199143	−	0.612901i	−0.800760	−	0.598986i	$-0.795571\pi$
$47$	1.36526	−	4.20183i	0.199143	−	0.612901i	0.999903	−	0.0139148i	$-0.00442937\pi$
$48$	−6.70200	−	1.75590i	−0.967350	−	0.253442i
$49$	−15.3461			−2.19230
$50$	−1.98633	+	6.78634i	−0.280910	+	0.959734i
$51$	0.788227	+	0.552707i	0.110374	+	0.0773945i
$52$	7.48435	+	2.26273i	1.03789	+	0.313784i
$53$	−7.98997	−	2.59610i	−1.09751	−	0.356601i	−0.296364	−	0.955075i	$-0.595774\pi$
$53$	−7.98997	−	2.59610i	−1.09751	−	0.356601i	−0.801142	+	0.598474i	$0.795774\pi$
$54$	−6.33332	+	3.72681i	−0.861855	+	0.507154i
$55$	2.47210	−	6.13349i	0.333338	−	0.827040i
$56$	−6.43465	−	11.7202i	−0.859867	−	1.56618i
$57$	1.71271	+	1.20095i	0.226853	+	0.159070i
$58$	−8.93365	−	1.32092i	−1.17305	−	0.173446i
$59$	−0.804579	−	0.584561i	−0.104747	−	0.0761034i	0.534179	−	0.845372i	$-0.320621\pi$
$59$	−0.804579	−	0.584561i	−0.104747	−	0.0761034i	−0.638926	+	0.769268i	$0.720621\pi$
$60$	−7.74209	−	0.244882i	−0.999500	−	0.0316142i
$61$	−4.40480	+	3.20028i	−0.563977	+	0.409754i	−0.832913	−	0.553405i	$-0.813328\pi$
$61$	−4.40480	+	3.20028i	−0.563977	+	0.409754i	0.268935	+	0.963158i	$0.413328\pi$
$62$	−5.83570	+	3.04943i	−0.741135	+	0.387279i
$63$	−13.6269	−	3.92715i	−1.71683	−	0.494774i
$64$	4.29422	−	6.74979i	0.536778	−	0.843723i
$65$	8.72102	+	0.602474i	1.08171	+	0.0747277i
$66$	7.18298	+	0.939156i	0.884164	+	0.115602i
$67$	−0.581557	+	0.188959i	−0.0710484	+	0.0230850i	−0.344326	−	0.938850i	$-0.611892\pi$
$67$	−0.581557	+	0.188959i	−0.0710484	+	0.0230850i	0.273277	+	0.961935i	$0.411892\pi$
$68$	−0.885697	+	0.671757i	−0.107407	+	0.0814624i
$69$	1.35922	+	0.416548i	0.163631	+	0.0501464i
$70$	−9.93206	−	11.1721i	−1.18711	−	1.33532i
$71$	−4.78758	+	14.7347i	−0.568181	+	1.74868i	0.0901228	+	0.995931i	$0.471274\pi$
$71$	−4.78758	+	14.7347i	−0.568181	+	1.74868i	−0.658304	+	0.752752i	$0.728726\pi$
$72$	−1.86419	−	8.27797i	−0.219696	−	0.975568i
$73$	8.18277	−	5.94513i	0.957720	−	0.695825i	0.00510015	−	0.999987i	$-0.498377\pi$
$73$	8.18277	−	5.94513i	0.957720	−	0.695825i	0.952620	+	0.304162i	$0.0983766\pi$
$74$	−5.49983	−	2.73143i	−0.639342	−	0.317522i
$75$	−8.49946	+	1.66106i	−0.981434	+	0.191802i
$76$	−1.92450	+	1.45963i	−0.220755	+	0.167431i
$77$	8.21730	+	11.3101i	0.936448	+	1.28891i
$78$	1.75350	+	9.41426i	0.198544	+	1.06596i
$79$	14.2920	+	4.64377i	1.60798	+	0.522465i	0.969064	−	0.246811i	$-0.0793826\pi$
$79$	14.2920	+	4.64377i	1.60798	+	0.522465i	0.638917	+	0.769275i	$0.279383\pi$
$80$	2.99962	−	8.42628i	0.335368	−	0.942087i
$81$	−7.61967	−	4.78964i	−0.846630	−	0.532182i
$82$	2.03947	−	4.10654i	0.225221	−	0.453492i
$83$	0.119077	+	0.366481i	0.0130704	+	0.0402265i	0.957379	−	0.288835i	$-0.0932678\pi$
$83$	0.119077	+	0.366481i	0.0130704	+	0.0402265i	−0.944309	+	0.329061i	$0.893268\pi$
$84$	9.12374	−	13.5982i	0.995482	−	1.48368i
$85$	−0.798081	+	0.952740i	−0.0865640	+	0.103339i
$86$	2.31627	+	13.7103i	0.249770	+	1.47842i
$87$	−3.59393	−	10.4602i	−0.385310	−	1.12145i
$88$	−3.56582	+	7.56667i	−0.380117	+	0.806610i
$89$	−5.82238	−	8.01381i	−0.617171	−	0.849463i	0.379972	−	0.924998i	$-0.375933\pi$
$89$	−5.82238	−	8.01381i	−0.617171	−	0.849463i	−0.997143	+	0.0755352i	$0.975933\pi$
$90$	−4.09328	−	8.55833i	−0.431469	−	0.902128i
$91$	−10.8626	+	14.9511i	−1.13871	+	1.56731i
$92$	−0.937355	+	1.34760i	−0.0977261	+	0.140497i
$93$	−6.60273	−	4.62986i	−0.684672	−	0.480094i
$94$	−0.913902	+	6.18090i	−0.0942618	+	0.637511i
$95$	−1.73412	+	2.07017i	−0.177917	+	0.212395i
$96$	9.75929	+	0.869632i	0.996053	+	0.0887564i
$97$	−4.82234	+	14.8416i	−0.489634	+	1.50694i	0.335521	+	0.942033i	$0.391088\pi$
$97$	−4.82234	+	14.8416i	−0.489634	+	1.50694i	−0.825155	+	0.564906i	$0.808912\pi$
$98$	21.3994	−	3.61530i	2.16167	−	0.365201i
$99$	3.02333	+	8.34118i	0.303856	+	0.838320i
$100$	1.17109	−	9.93119i	0.117109	−	0.993119i
$101$		−	0.541191i		−	0.0538505i	−0.999637	−	0.0269253i	$-0.991428\pi$
$101$		−	0.541191i		−	0.0538505i	0.999637	−	0.0269253i	$-0.00857161\pi$
$102$	−1.22936	−	0.585030i	−0.121724	−	0.0579266i
$103$	−4.33328	−	1.40797i	−0.426971	−	0.138731i	0.0876456	−	0.996152i	$-0.472066\pi$
$103$	−4.33328	−	1.40797i	−0.426971	−	0.138731i	−0.514617	+	0.857420i	$0.672066\pi$
$104$	−10.9696	−	1.39207i	−1.07566	−	0.136504i
$105$	6.55814	−	17.0933i	0.640009	−	1.66814i
$106$	11.7532	+	1.73782i	1.14158	+	0.168792i
$107$	−6.74072			−0.651650			−0.325825	−	0.945430i	$-0.605642\pi$
$107$	−6.74072			−0.651650			−0.325825	+	0.945430i	$0.605642\pi$
$108$	7.95353	−	6.68889i	0.765329	−	0.643639i
$109$	−3.02378	−	2.19691i	−0.289626	−	0.210426i	0.433479	−	0.901164i	$-0.357286\pi$
$109$	−3.02378	−	2.19691i	−0.289626	−	0.210426i	−0.723105	+	0.690738i	$0.757286\pi$
$110$	−2.00227	+	9.13526i	−0.190909	+	0.871013i
$111$	−0.126236	−	7.51980i	−0.0119818	−	0.713747i
$112$	11.7339	+	14.8274i	1.10875	+	1.40106i
$113$	−3.67046	+	5.05195i	−0.345287	+	0.475247i	−0.945976	−	0.324235i	$-0.894893\pi$
$113$	−3.67046	+	5.05195i	−0.345287	+	0.475247i	0.600689	+	0.799483i	$0.294893\pi$
$114$	−2.67122	−	1.27119i	−0.250182	−	0.119058i
$115$	−0.686085	+	1.70223i	−0.0639778	+	0.158734i
$116$	12.7687	−	0.262668i	1.18555	−	0.0243881i
$117$	−9.25171	+	7.20836i	−0.855321	+	0.666413i
$118$	1.25966	+	0.625597i	0.115961	+	0.0575908i
$119$	−0.811919	−	2.49883i	−0.0744285	−	0.229067i
$120$	10.8537	−	1.48244i	0.990801	−	0.135328i
$121$	−0.696462	+	2.14349i	−0.0633148	+	0.194863i
$122$	5.38836	−	5.50034i	0.487839	−	0.497978i
$123$	5.61478	−	0.0942565i	0.506268	−	0.00849882i
$124$	7.41921	−	5.62710i	0.666265	−	0.505328i
$125$	−1.19667	−	11.1161i	−0.107034	−	0.994255i
$126$	19.9272	+	2.26594i	1.77526	+	0.201866i
$127$	−6.31110	−	8.68649i	−0.560020	−	0.770801i	0.431309	−	0.902204i	$-0.358052\pi$
$127$	−6.31110	−	8.68649i	−0.560020	−	0.770801i	−0.991329	+	0.131403i	$0.958052\pi$
$128$	−4.39795	+	10.4239i	−0.388727	+	0.921353i
$129$	−13.6072	+	10.2395i	−1.19805	+	0.901542i
$130$	−12.3030	+	1.21442i	−1.07904	+	0.106511i
$131$	3.43036	+	10.5576i	0.299712	+	0.922418i	0.981598	+	0.190959i	$0.0611599\pi$
$131$	3.43036	+	10.5576i	0.299712	+	0.922418i	−0.681886	+	0.731458i	$0.738840\pi$
$132$	−10.2376	+	0.382591i	−0.891067	+	0.0333003i
$133$	−1.76418	−	5.42960i	−0.152974	−	0.470806i
$134$	0.766438	−	0.400501i	0.0662101	−	0.0345980i
$135$	7.00325	−	9.27117i	0.602744	−	0.797935i
$136$	1.07681	−	1.14539i	0.0923355	−	0.0982164i
$137$	11.2897	−	15.5390i	0.964546	−	1.32758i	0.0197913	−	0.999804i	$-0.493700\pi$
$137$	11.2897	−	15.5390i	0.964546	−	1.32758i	0.944754	−	0.327779i	$-0.106300\pi$
$138$	−1.99350	−	0.260645i	−0.169698	−	0.0221876i
$139$	−2.56446	−	3.52968i	−0.217515	−	0.299383i	0.686290	−	0.727328i	$-0.259238\pi$
$139$	−2.56446	−	3.52968i	−0.217515	−	0.299383i	−0.903805	+	0.427944i	$0.859238\pi$
$140$	16.4818	+	13.2391i	1.39296	+	1.11891i
$141$	−7.23707	+	2.48652i	−0.609472	+	0.209403i
$142$	3.20480	−	21.6747i	0.268941	−	1.81890i
$143$	11.5618			0.966847
$144$	4.54968	+	11.1041i	0.379140	+	0.925339i
$145$	13.8519	−	3.46602i	1.15033	−	0.287837i
$146$	−10.0099	+	10.2179i	−0.828426	+	0.845642i
$147$	15.9822	+	21.2386i	1.31819	+	1.75173i
$148$	8.31274	+	2.51317i	0.683303	+	0.206581i
$149$			4.69487i			0.384619i	0.981334	+	0.192310i	$0.0615978\pi$
$149$			4.69487i			0.384619i	−0.981334	+	0.192310i	$0.938402\pi$
$150$	11.4608	−	4.31861i	0.935769	−	0.352613i
$151$			7.47785i			0.608539i	0.952586	+	0.304269i	$0.0984123\pi$
$151$			7.47785i			0.608539i	−0.952586	+	0.304269i	$0.901588\pi$
$152$	2.33975	−	2.48877i	0.189779	−	0.201866i
$153$	−0.0559676	−	1.66650i	−0.00452471	−	0.134729i
$154$	−14.1231	−	13.8356i	−1.13807	−	1.11490i
$155$	6.68527	−	7.98080i	0.536974	−	0.641033i
$156$	−4.66302	−	12.7146i	−0.373341	−	1.01799i
$157$	3.23025			0.257802			0.128901	−	0.991657i	$-0.458855\pi$
$157$	3.23025			0.257802			0.128901	+	0.991657i	$0.458855\pi$
$158$	−21.0236	−	3.10853i	−1.67255	−	0.247301i
$159$	4.72823	+	13.7616i	0.374973	+	1.09137i
$160$	−2.19773	+	12.4567i	−0.173746	+	0.984790i
$161$	−2.28056	−	3.13892i	−0.179733	−	0.247381i
$162$	11.7536	+	4.88385i	0.923453	+	0.383712i
$163$	−8.63821	+	11.8895i	−0.676597	+	0.931255i	−0.999887	−	0.0150445i	$-0.995211\pi$
$163$	−8.63821	+	11.8895i	−0.676597	+	0.931255i	0.323290	+	0.946300i	$0.395211\pi$
$164$	−1.87650	+	6.20685i	−0.146530	+	0.484673i
$165$	−11.0632	+	2.96641i	−0.861266	+	0.230934i
$166$	−0.252385	−	0.482988i	−0.0195888	−	0.0374872i
$167$	−0.327444	−	1.00777i	−0.0253383	−	0.0779834i	0.937588	−	0.347749i	$-0.113054\pi$
$167$	−0.327444	−	1.00777i	−0.0253383	−	0.0779834i	−0.962926	+	0.269765i	$0.913054\pi$
$168$	−9.51911	+	21.1114i	−0.734415	+	1.62878i
$169$	0.705745	+	2.17206i	0.0542881	+	0.167082i
$170$	0.888436	−	1.51657i	0.0681399	−	0.116315i
$171$	−0.121610	−	3.62107i	−0.00929972	−	0.276910i
$172$	−6.45986	−	18.5727i	−0.492560	−	1.41615i
$173$	−11.4970	−	15.8242i	−0.874098	−	1.20309i	−0.978021	−	0.208508i	$-0.933139\pi$
$173$	−11.4970	−	15.8242i	−0.874098	−	1.20309i	0.103923	−	0.994585i	$-0.466861\pi$
$174$	7.47584	+	13.7396i	0.566742	+	1.04160i
$175$	21.2611	+	10.3256i	1.60719	+	0.780539i
$176$	3.18977	−	11.3914i	0.240438	−	0.858661i
$177$	0.0289127	+	1.72231i	0.00217321	+	0.129457i
$178$	10.0070	+	9.80323i	0.750054	+	0.734783i
$179$	−2.93426	+	9.03072i	−0.219317	+	0.674988i	0.779502	+	0.626400i	$0.215472\pi$
$179$	−2.93426	+	9.03072i	−0.219317	+	0.674988i	−0.998819	+	0.0485880i	$0.984528\pi$
$180$	7.72410	+	10.9699i	0.575720	+	0.817647i
$181$	−5.97127	−	18.3777i	−0.443841	−	1.36600i	−0.883750	−	0.467960i	$-0.844989\pi$
$181$	−5.97127	−	18.3777i	−0.443841	−	1.36600i	0.439908	−	0.898043i	$-0.355011\pi$
$182$	11.6252	−	23.4078i	0.861716	−	1.73510i
$183$	9.01648	+	2.76320i	0.666518	+	0.204262i
$184$	0.989625	−	2.09999i	0.0729561	−	0.154813i
$185$	9.68630	+	0.669158i	0.712151	+	0.0491975i
$186$	10.2979	+	4.90062i	0.755081	+	0.359331i
$187$	−0.966180	+	1.32983i	−0.0706540	+	0.0972469i
$188$	−0.181731	−	8.83427i	−0.0132541	−	0.644305i
$189$	8.75667	+	22.9492i	0.636954	+	1.66931i
$190$	1.93045	−	3.29528i	0.140049	−	0.239065i
$191$	−13.9771	−	10.1550i	−1.01135	−	0.734788i	−0.0468569	−	0.998902i	$-0.514920\pi$
$191$	−13.9771	−	10.1550i	−1.01135	−	0.734788i	−0.964491	+	0.264114i	$0.914920\pi$
$192$	−13.8137	+	1.08648i	−0.996921	+	0.0784098i
$193$	3.00653			0.216415			0.108207	−	0.994128i	$-0.465489\pi$
$193$	3.00653			0.216415			0.108207	+	0.994128i	$0.465489\pi$
$194$	3.22806	−	21.8320i	0.231762	−	1.56745i
$195$	−8.24870	−	12.6971i	−0.590702	−	0.909259i
$196$	−28.9887	+	10.0827i	−2.07062	+	0.720196i
$197$	1.59660	+	0.518766i	0.113753	+	0.0369606i	0.365340	−	0.930874i	$-0.380953\pi$
$197$	1.59660	+	0.518766i	0.113753	+	0.0369606i	−0.251587	+	0.967835i	$0.580953\pi$
$198$	−6.18095	−	10.9191i	−0.439261	−	0.775989i
$199$		−	18.8808i		−	1.33842i	−0.743072	−	0.669212i	$-0.766632\pi$
$199$		−	18.8808i		−	1.33842i	0.743072	−	0.669212i	$-0.233368\pi$
$200$	0.706605	+	14.1245i	0.0499645	+	0.998751i
$201$	0.867177	+	0.608067i	0.0611659	+	0.0428897i
$202$	0.127496	+	0.754666i	0.00897061	+	0.0530981i
$203$	−9.32810	+	28.7089i	−0.654704	+	2.01497i
$204$	1.85210	+	0.526180i	0.129673	+	0.0368400i
$205$	−0.499638	+	7.23244i	−0.0348962	+	0.505135i
$206$	6.37425	+	0.942492i	0.444115	+	0.0656665i
$207$	−0.839069	−	2.31494i	−0.0583193	−	0.160899i
$208$	15.6246	−	0.643104i	1.08337	−	0.0445912i
$209$	−2.09937	+	2.88954i	−0.145217	+	0.199873i
$210$	−5.11809	+	25.3809i	−0.353182	+	1.75145i
$211$	−1.63417	−	2.24924i	−0.112501	−	0.154844i	0.749053	−	0.662510i	$-0.230509\pi$
$211$	−1.63417	−	2.24924i	−0.112501	−	0.154844i	−0.861554	+	0.507665i	$0.830509\pi$
$212$	−16.7987	+	0.345570i	−1.15374	+	0.0237338i
$213$	25.3784	−	8.71954i	1.73890	−	0.597453i
$214$	9.39962	−	1.58801i	0.642545	−	0.108554i
$215$	−11.6659	−	18.6346i	−0.795611	−	1.27087i
$216$	−9.51503	+	11.2011i	−0.647416	+	0.762137i
$217$	6.80119	+	20.9319i	0.461695	+	1.42095i
$218$	4.73408	+	2.35113i	0.320633	+	0.159239i
$219$	−16.7498	−	5.13317i	−1.13185	−	0.346868i
$220$	0.639950	−	13.2104i	0.0431454	−	0.890644i
$221$	−2.06658	−	0.671472i	−0.139013	−	0.0451681i
$222$	1.94758	+	10.4563i	0.130713	+	0.701778i
$223$	−6.88081	−	9.47063i	−0.460773	−	0.634200i	0.513896	−	0.857853i	$-0.328202\pi$
$223$	−6.88081	−	9.47063i	−0.460773	−	0.634200i	−0.974669	+	0.223653i	$0.928202\pi$
$224$	−19.8555	−	17.9118i	−1.32665	−	1.19678i
$225$	11.1506	+	10.0331i	0.743375	+	0.668875i
$226$	3.92812	−	7.90941i	0.261294	−	0.526126i
$227$	17.1198	−	12.4383i	1.13628	−	0.825558i	0.149686	−	0.988734i	$-0.452174\pi$
$227$	17.1198	−	12.4383i	1.13628	−	0.825558i	0.986597	+	0.163176i	$0.0521739\pi$
$228$	4.02436	+	1.14331i	0.266520	+	0.0757179i
$229$	8.59053	−	26.4389i	0.567678	−	1.74713i	−0.0921790	−	0.995742i	$-0.529383\pi$
$229$	8.59053	−	26.4389i	0.567678	−	1.74713i	0.659857	−	0.751391i	$-0.270617\pi$
$230$	0.555693	−	2.53532i	0.0366413	−	0.167174i
$231$	7.09502	−	23.1515i	0.466818	−	1.52325i
$232$	−17.7435	+	3.37440i	−1.16492	+	0.221540i
$233$	6.85704	−	2.22799i	0.449220	−	0.145960i	−0.0756657	−	0.997133i	$-0.524108\pi$
$233$	6.85704	−	2.22799i	0.449220	−	0.145960i	0.524885	+	0.851173i	$0.324108\pi$
$234$	11.2029	−	12.2313i	0.732357	−	0.799584i
$235$	−2.39802	−	9.58364i	−0.156430	−	0.625168i
$236$	−1.90392	−	0.575608i	−0.123935	−	0.0374689i
$237$	−8.45761	−	24.6161i	−0.549381	−	1.59899i
$238$	1.72087	+	3.29322i	0.111547	+	0.213468i
$239$	11.1364	−	8.09108i	0.720355	−	0.523368i	−0.166143	−	0.986102i	$-0.553131\pi$
$239$	11.1364	−	8.09108i	0.720355	−	0.523368i	0.886498	+	0.462733i	$0.153131\pi$
$240$	−14.7857	+	4.62416i	−0.954413	+	0.298488i
$241$	−12.2762	−	8.91917i	−0.790779	−	0.574534i	0.117416	−	0.993083i	$-0.462539\pi$
$241$	−12.2762	−	8.91917i	−0.790779	−	0.574534i	−0.908194	+	0.418549i	$0.862539\pi$
$242$	0.466211	−	3.15307i	0.0299692	−	0.202687i
$243$	1.30677	+	15.5336i	0.0838296	+	0.996480i
$244$	−6.21802	+	8.93939i	−0.398068	+	0.572286i
$245$	−29.0854	+	18.2086i	−1.85820	+	1.16330i
$246$	−7.80735	+	1.45419i	−0.497778	+	0.0927160i
$247$	−4.49038	−	1.45901i	−0.285716	−	0.0928349i
$248$	−9.02008	+	9.59457i	−0.572776	+	0.609256i
$249$	0.383187	−	0.546471i	0.0242835	−	0.0346312i
$250$	4.28749	+	15.2190i	0.271165	+	0.962533i
$251$	11.6075			0.732661			0.366331	−	0.930485i	$-0.380614\pi$
$251$	11.6075			0.732661			0.366331	+	0.930485i	$0.380614\pi$
$252$	−28.3214	+	1.53481i	−1.78408	+	0.0966838i
$253$	−0.750090	+	2.30854i	−0.0471578	+	0.145137i
$254$	10.8469	+	10.6261i	0.680598	+	0.666741i
$255$	2.14973	+	0.112291i	0.134621	+	0.00703196i
$256$	3.67702	−	15.5718i	0.229814	−	0.973235i
$257$			0.872538i			0.0544274i	0.999630	+	0.0272137i	$0.00866346\pi$
$257$			0.872538i			0.0544274i	−0.999630	+	0.0272137i	$0.991337\pi$
$258$	16.5624	−	17.4842i	1.03113	−	1.08852i
$259$	−12.0650	+	16.6060i	−0.749680	+	1.03185i
$260$	16.8698	−	4.59184i	1.04622	−	0.284774i
$261$	−10.7338	+	15.8677i	−0.664403	+	0.982186i
$262$	−7.27067	−	13.9139i	−0.449184	−	0.859602i
$263$	11.1421	+	8.09520i	0.687050	+	0.499171i	0.875689	−	0.482875i	$-0.160408\pi$
$263$	11.1421	+	8.09520i	0.687050	+	0.499171i	−0.188639	+	0.982047i	$0.560408\pi$
$264$	14.1857	−	2.94532i	0.873069	−	0.181272i
$265$	−18.2237	+	4.55994i	−1.11947	+	0.280115i
$266$	3.73920	+	7.15571i	0.229265	+	0.438745i
$267$	−5.02719	+	16.4040i	−0.307659	+	1.00391i
$268$	−0.974410	+	0.739040i	−0.0595215	+	0.0451441i
$269$	5.48763	−	1.78304i	0.334587	−	0.108714i	−0.136905	−	0.990584i	$-0.543716\pi$
$269$	5.48763	−	1.78304i	0.334587	−	0.108714i	0.471492	+	0.881870i	$0.343716\pi$
$270$	−7.58156	+	14.5781i	−0.461399	+	0.887193i
$271$	−21.3973	−	6.95241i	−1.29979	−	0.422329i	−0.424284	−	0.905529i	$-0.639474\pi$
$271$	−21.3973	−	6.95241i	−1.29979	−	0.422329i	−0.875510	+	0.483201i	$0.839474\pi$
$272$	−1.23172	+	1.85087i	−0.0746841	+	0.112226i
$273$	32.0049	−	0.537273i	1.93702	−	0.0325172i
$274$	−12.0822	+	24.3280i	−0.729915	+	1.46971i
$275$	−2.59219	−	14.5580i	−0.156315	−	0.877881i
$276$	2.84125	−	0.106181i	0.171023	−	0.00639134i
$277$	−0.491461	+	0.357067i	−0.0295290	+	0.0214541i	−0.602452	−	0.798155i	$-0.705809\pi$
$277$	−0.491461	+	0.357067i	−0.0295290	+	0.0214541i	0.572923	+	0.819609i	$0.305809\pi$
$278$	4.40756	+	4.31782i	0.264348	+	0.258966i
$279$	0.468823	+	13.9598i	0.0280677	+	0.835750i
$280$	−26.1020	−	14.5784i	−1.55989	−	0.871228i
$281$	−29.7848	+	9.67767i	−1.77681	+	0.577322i	−0.998708	−	0.0508130i	$-0.983819\pi$
$281$	−29.7848	+	9.67767i	−1.77681	+	0.577322i	−0.778105	+	0.628135i	$0.783819\pi$
$282$	9.50598	−	5.17228i	0.566073	−	0.308005i
$283$	4.58299	−	1.48910i	0.272430	−	0.0885180i	−0.169616	−	0.985510i	$-0.554253\pi$
$283$	4.58299	−	1.48910i	0.272430	−	0.0885180i	0.442046	+	0.896992i	$0.354253\pi$
$284$	0.637280	+	30.9793i	0.0378156	+	1.83828i
$285$	4.67105	+	0.243993i	0.276689	+	0.0144529i
$286$	−16.1224	+	2.72379i	−0.953338	+	0.161061i
$287$	−12.3991	−	9.00851i	−0.731899	−	0.531755i
$288$	−8.96027	−	14.4123i	−0.527989	−	0.849251i
$289$	−13.5034	+	9.81077i	−0.794315	+	0.577104i
$290$	−18.4992	+	8.09649i	−1.08631	+	0.475442i
$291$	25.5626	−	8.78284i	1.49851	−	0.514859i
$292$	11.5512	−	16.6066i	0.675980	−	0.971829i
$293$			29.2911i			1.71120i	0.517635	+	0.855602i	$0.326813\pi$
$293$			29.2911i			1.71120i	−0.517635	+	0.855602i	$0.673187\pi$
$294$	−27.2899	−	25.8510i	−1.59158	−	1.50766i
$295$	−2.21852	−	0.153262i	−0.129167	−	0.00892323i
$296$	−12.1838	−	1.54615i	−0.708169	−	0.0898680i
$297$	8.39531	−	12.8711i	0.487146	−	0.746859i
$298$	−1.10604	−	6.54678i	−0.0640712	−	0.379245i
$299$	−3.20876			−0.185568
$300$	−14.9641	+	8.72208i	−0.863955	+	0.503570i
$301$	46.4775			2.67892
$302$	−1.76167	−	10.4275i	−0.101373	−	0.600036i
$303$	−0.748994	+	0.563624i	−0.0430286	+	0.0323793i
$304$	−2.67636	+	4.02168i	−0.153500	+	0.230659i
$305$	−4.55120	+	11.2919i	−0.260601	+	0.646572i
$306$	0.470647	+	2.31067i	0.0269051	+	0.132092i
$307$			0.637534i			0.0363860i	0.999834	+	0.0181930i	$0.00579133\pi$
$307$			0.637534i			0.0363860i	−0.999834	+	0.0181930i	$0.994209\pi$
$308$	22.9535	+	15.9659i	1.30790	+	0.909741i
$309$	2.56431	+	7.46347i	0.145878	+	0.424582i
$310$	−7.44215	+	12.7038i	−0.422686	+	0.721528i
$311$	−18.8639	+	13.7054i	−1.06967	+	0.777161i	−0.975853	−	0.218428i	$-0.929907\pi$
$311$	−18.8639	+	13.7054i	−1.06967	+	0.777161i	−0.0938179	+	0.995589i	$0.529907\pi$
$312$	9.49774	+	16.6314i	0.537704	+	0.941570i
$313$	−19.0299	−	13.8260i	−1.07563	−	0.781494i	−0.0987180	−	0.995115i	$-0.531474\pi$
$313$	−19.0299	−	13.8260i	−1.07563	−	0.781494i	−0.976917	+	0.213621i	$0.931474\pi$
$314$	−4.50443	+	0.760997i	−0.254200	+	0.0429455i
$315$	−30.4867	+	8.72557i	−1.71773	+	0.491630i
$316$	30.0487	−	0.618137i	1.69037	−	0.0347729i
$317$	5.47100	−	1.77764i	0.307282	−	0.0998421i	−0.151317	−	0.988485i	$-0.548351\pi$
$317$	5.47100	−	1.77764i	0.307282	−	0.0998421i	0.458599	+	0.888643i	$0.348351\pi$
$318$	−9.83531	−	18.0760i	−0.551537	−	1.01365i
$319$	17.9608	−	5.83583i	1.00561	−	0.326744i
$320$	0.130023	−	17.8881i	0.00726852	−	0.999974i
$321$	7.02013	+	9.32898i	0.391825	+	0.520693i
$322$	3.91961	+	3.83981i	0.218431	+	0.213984i
$323$	0.543060	−	0.394556i	0.0302167	−	0.0219537i
$324$	−17.5405	−	4.04133i	−0.974470	−	0.224518i
$325$	17.2438	−	9.20587i	0.956513	−	0.510650i
$326$	9.24460	−	18.6143i	0.512011	−	1.03095i
$327$	0.108660	+	6.47281i	0.00600893	+	0.357947i
$328$	1.15446	−	9.09724i	0.0637442	−	0.502311i
$329$	19.8628	+	6.45380i	1.09507	+	0.355810i
$330$	14.7282	−	6.74282i	0.810762	−	0.371180i
$331$	−0.975079	+	0.316822i	−0.0535952	+	0.0174141i	−0.335692	−	0.941972i	$-0.608970\pi$
$331$	−0.975079	+	0.316822i	−0.0535952	+	0.0174141i	0.282097	+	0.959386i	$0.408970\pi$
$332$	0.465723	+	0.614047i	0.0255599	+	0.0337002i
$333$	−10.2757	+	8.00620i	−0.563106	+	0.438737i
$334$	0.694020	+	1.32814i	0.0379751	+	0.0726728i
$335$	−0.878017	+	1.04817i	−0.0479712	+	0.0572675i
$336$	8.30043	−	31.6815i	0.452825	−	1.72837i
$337$	−15.6066	−	11.3389i	−0.850145	−	0.617667i	0.0750408	−	0.997180i	$-0.476091\pi$
$337$	−15.6066	−	11.3389i	−0.850145	−	0.617667i	−0.925186	+	0.379514i	$0.876091\pi$
$338$	−1.49583	−	2.86257i	−0.0813626	−	0.155704i
$339$	10.8144	−	0.181543i	0.587355	−	0.00986005i
$340$	−0.881602	+	2.32408i	−0.0478116	+	0.126041i
$341$	8.09339	−	11.1396i	0.438281	−	0.603243i
$342$	1.02265	+	5.02077i	0.0552985	+	0.271492i
$343$		−	39.4533i		−	2.13028i
$344$	13.3834	+	24.3769i	0.721585	+	1.31431i
$345$	3.07037	−	0.823270i	0.165303	−	0.0443234i
$346$	19.7599	+	19.3576i	1.06230	+	1.04067i
$347$	−0.379677	+	1.16852i	−0.0203821	+	0.0627297i	−0.960730	−	0.277484i	$-0.910499\pi$
$347$	−0.379677	+	1.16852i	−0.0203821	+	0.0627297i	0.940348	+	0.340214i	$0.110499\pi$
$348$	−13.6615	−	17.3980i	−0.732336	−	0.932633i
$349$	25.1965			1.34874			0.674369	−	0.738395i	$-0.264416\pi$
$349$	25.1965			1.34874			0.674369	+	0.738395i	$0.264416\pi$
$350$	−32.0802	−	9.38973i	−1.71476	−	0.501902i
$351$	19.6114	+	5.29697i	1.04678	+	0.282732i
$352$	−1.76434	+	16.6363i	−0.0940398	+	0.886716i
$353$	28.7901	+	9.35448i	1.53234	+	0.497889i	0.949252	−	0.314517i	$-0.101843\pi$
$353$	28.7901	+	9.35448i	1.53234	+	0.497889i	0.583092	+	0.812406i	$0.301843\pi$
$354$	−0.446067	−	2.39487i	−0.0237082	−	0.127286i
$355$	8.40919	+	33.6072i	0.446314	+	1.78368i
$356$	−16.2637	−	11.3127i	−0.861976	−	0.599569i
$357$	−2.61274	+	3.72608i	−0.138281	+	0.197205i
$358$	1.96419	−	13.2842i	0.103811	−	0.702091i
$359$	−16.9951	−	12.3476i	−0.896966	−	0.651684i	0.0407191	−	0.999171i	$-0.487035\pi$
$359$	−16.9951	−	12.3476i	−0.896966	−	0.651684i	−0.937685	+	0.347487i	$0.887035\pi$
$360$	−13.3552	−	13.4773i	−0.703882	−	0.710317i
$361$	−14.1913	+	10.3106i	−0.746912	+	0.542663i
$362$	12.6562	+	24.2201i	0.665193	+	1.27298i
$363$	3.69186	−	1.26845i	0.193773	−	0.0665766i
$364$	−10.6963	+	35.3797i	−0.560637	+	1.85440i
$365$	8.45472	−	20.9769i	0.442540	−	1.09798i
$366$	−13.2240	−	1.72901i	−0.691231	−	0.0903767i
$367$	−0.370475	+	0.120375i	−0.0193386	+	0.00628351i	−0.318670	−	0.947866i	$-0.603236\pi$
$367$	−0.370475	+	0.120375i	−0.0193386	+	0.00628351i	0.299332	+	0.954149i	$0.403236\pi$
$368$	−0.885261	+	3.16148i	−0.0461474	+	0.164803i
$369$	−5.97797	−	7.67254i	−0.311200	−	0.399417i
$370$	−13.6647	+	1.34883i	−0.710396	+	0.0701225i
$371$	12.2722	−	37.7699i	0.637140	−	1.96091i
$372$	−15.5145	−	4.40765i	−0.804389	−	0.228526i
$373$	−18.7228	+	13.6029i	−0.969428	+	0.704330i	−0.955321	−	0.295570i	$-0.904490\pi$
$373$	−18.7228	+	13.6029i	−0.969428	+	0.704330i	−0.0141065	+	0.999900i	$0.504490\pi$
$374$	1.03400	−	2.08201i	0.0534671	−	0.107658i
$375$	−14.1381	+	13.2330i	−0.730090	+	0.683352i
$376$	2.33463	+	12.2762i	0.120400	+	0.633095i
$377$	14.6739	+	20.1969i	0.755744	+	1.04019i
$378$	−17.6172	−	29.9386i	−0.906133	−	1.53988i
$379$	19.5775	+	6.36113i	1.00563	+	0.326749i	0.765113	−	0.643896i	$-0.222683\pi$
$379$	19.5775	+	6.36113i	1.00563	+	0.326749i	0.240517	+	0.970645i	$0.422683\pi$
$380$	−1.91560	+	5.04990i	−0.0982680	+	0.259055i
$381$	−5.44917	+	17.7809i	−0.279169	+	0.910945i
$382$	21.8828	+	10.8678i	1.11962	+	0.556047i
$383$	−8.82015	−	27.1456i	−0.450689	−	1.38708i	−0.876123	−	0.482088i	$-0.839879\pi$
$383$	−8.82015	−	27.1456i	−0.450689	−	1.38708i	0.425434	−	0.904989i	$-0.360121\pi$
$384$	19.0067	−	4.76935i	0.969930	−	0.243385i
$385$	28.9940	+	11.6860i	1.47767	+	0.595575i
$386$	−4.19246	+	0.708292i	−0.213391	+	0.0360511i
$387$	28.3425	+	8.16806i	1.44073	+	0.415206i
$388$	0.641907	+	31.2042i	0.0325879	+	1.58415i
$389$	−7.77318	−	10.6989i	−0.394116	−	0.542454i	0.565139	−	0.824995i	$-0.308822\pi$
$389$	−7.77318	−	10.6989i	−0.394116	−	0.542454i	−0.959255	+	0.282542i	$0.908822\pi$
$390$	14.4937	+	15.7623i	0.733916	+	0.798153i
$391$	0.268145	−	0.369070i	0.0135607	−	0.0186647i
$392$	38.0481	−	20.8892i	1.92172	−	1.05506i
$393$	11.0388	−	15.7427i	0.556835	−	0.794114i
$394$	−2.34859	−	0.347261i	−0.118320	−	0.0174948i
$395$	32.5976	−	8.15659i	1.64017	−	0.410403i
$396$	11.1914	+	13.7701i	0.562390	+	0.691973i
$397$	0.489168	−	1.50550i	0.0245506	−	0.0755591i	−0.938031	−	0.346553i	$-0.887352\pi$
$397$	0.489168	−	1.50550i	0.0245506	−	0.0755591i	0.962581	+	0.270994i	$0.0873522\pi$
$398$	4.44802	+	26.3284i	0.222959	+	1.31972i
$399$	−5.67711	+	8.09624i	−0.284211	+	0.405319i
$400$	−4.31284	−	19.5295i	−0.215642	−	0.976473i
$401$		−	0.673754i		−	0.0336457i	−0.999858	−	0.0168228i	$-0.994645\pi$
$401$		−	0.673754i		−	0.0336457i	0.999858	−	0.0168228i	$-0.00535513\pi$
$402$	−1.35249	−	0.643627i	−0.0674560	−	0.0321012i
$403$	17.3111	+	5.62471i	0.862327	+	0.280187i
$404$	−0.355575	−	1.02231i	−0.0176905	−	0.0508618i
$405$	−20.1246	−	0.0368449i	−0.999998	−	0.00183084i
$406$	6.24421	−	42.2308i	0.309895	−	2.09588i
$407$	12.8415			0.636530
$408$	−2.70663	−	0.297406i	−0.133998	−	0.0147238i
$409$	9.68951	+	7.03984i	0.479116	+	0.348098i	0.800983	−	0.598687i	$-0.204311\pi$
$409$	9.68951	+	7.03984i	0.479116	+	0.348098i	−0.321868	+	0.946785i	$0.604311\pi$
$410$	−1.00713	−	10.2030i	−0.0497386	−	0.503890i
$411$	−33.2632	+	0.558396i	−1.64075	+	0.0275436i
$412$	−9.11064	+	0.187416i	−0.448849	+	0.00923334i
$413$	2.76332	−	3.80338i	0.135974	−	0.187152i
$414$	1.71541	+	3.03040i	0.0843076	+	0.148936i
$415$	0.660526	+	0.553303i	0.0324240	+	0.0271606i
$416$	−21.6363	+	4.57769i	−1.06080	+	0.224440i
$417$	−2.21422	+	7.22513i	−0.108431	+	0.353816i
$418$	2.24674	−	4.52390i	0.109892	−	0.221271i
$419$	−1.59083	−	4.89606i	−0.0777169	−	0.239188i	0.904649	−	0.426158i	$-0.140133\pi$
$419$	−1.59083	−	4.89606i	−0.0777169	−	0.239188i	−0.982366	+	0.186970i	$0.940133\pi$
$420$	1.15760	−	36.5982i	0.0564851	−	1.78581i
$421$	−3.17772	+	9.78003i	−0.154873	+	0.476649i	−0.998148	−	0.0608326i	$-0.980624\pi$
$421$	−3.17772	+	9.78003i	−0.154873	+	0.476649i	0.843275	+	0.537482i	$0.180624\pi$
$422$	2.80866	+	2.75148i	0.136723	+	0.133940i
$423$	10.9783	+	7.42633i	0.533785	+	0.361080i
$424$	23.3437	−	4.43941i	1.13367	−	0.215597i
$425$	−0.382149	+	2.75267i	−0.0185369	+	0.133524i
$426$	−33.3348	+	18.1377i	−1.61508	+	0.878777i
$427$	−15.1282	−	20.8222i	−0.732107	−	1.00766i
$428$	−12.7332	+	4.42881i	−0.615483	+	0.214075i
$429$	−12.0411	−	16.0012i	−0.581348	−	0.772547i
$430$	20.6576	+	23.2367i	0.996200	+	1.12057i
$431$	−0.375545	−	1.15581i	−0.0180894	−	0.0556733i	0.941604	−	0.336721i	$-0.109318\pi$
$431$	−0.375545	−	1.15581i	−0.0180894	−	0.0556733i	−0.959694	+	0.281048i	$0.909318\pi$
$432$	10.6295	−	17.8610i	0.511410	−	0.859337i
$433$	−8.97298	−	27.6160i	−0.431214	−	1.32714i	−0.896917	−	0.442199i	$-0.854198\pi$
$433$	−8.97298	−	27.6160i	−0.431214	−	1.32714i	0.465703	−	0.884941i	$-0.345802\pi$
$434$	−14.4152	−	27.5863i	−0.691951	−	1.32419i
$435$	−19.2229	−	15.5609i	−0.921668	−	0.746089i
$436$	−7.15535	−	2.16326i	−0.342679	−	0.103601i
$437$	0.582641	−	0.801937i	0.0278715	−	0.0383618i
$438$	24.5662	+	3.21196i	1.17382	+	0.153473i
$439$	3.88565	+	5.34814i	0.185452	+	0.255253i	0.891613	−	0.452799i	$-0.149574\pi$
$439$	3.88565	+	5.34814i	0.185452	+	0.255253i	−0.706161	+	0.708052i	$0.749574\pi$
$440$	2.21979	+	18.5720i	0.105824	+	0.885387i
$441$	12.7489	−	44.2378i	0.607093	−	2.10656i
$442$	3.03994	+	0.449482i	0.144595	+	0.0213797i
$443$	−33.7862			−1.60523			−0.802616	−	0.596497i	$-0.796559\pi$
$443$	−33.7862			−1.60523			−0.802616	+	0.596497i	$0.796559\pi$
$444$	−5.17914	−	14.1220i	−0.245791	−	0.670198i
$445$	−20.5437	−	8.28015i	−0.973867	−	0.392517i
$446$	11.8261	+	11.5853i	0.559982	+	0.548581i
$447$	6.49758	−	4.88948i	0.307325	−	0.231264i
$448$	31.9074	+	20.2995i	1.50748	+	0.959062i
$449$			2.40917i			0.113696i	0.998383	+	0.0568479i	$0.0181050\pi$
$449$			2.40917i			0.113696i	−0.998383	+	0.0568479i	$0.981895\pi$
$450$	−17.9127	−	11.3638i	−0.844412	−	0.535695i
$451$			9.58834i			0.451497i
$452$	−3.61424	+	11.9547i	−0.170000	+	0.562302i
$453$	10.3491	−	7.78781i	0.486245	−	0.365903i
$454$	−20.9425	+	21.3778i	−0.982881	+	1.00331i
$455$	−2.84799	+	41.2257i	−0.133516	+	1.93269i
$456$	−5.88113	−	0.646222i	−0.275409	−	0.0302621i
$457$	−0.341439			−0.0159718			−0.00798591	−	0.999968i	$-0.502542\pi$
$457$	−0.341439			−0.0159718			−0.00798591	+	0.999968i	$0.502542\pi$
$458$	−5.75048	+	38.8916i	−0.268702	+	1.81729i
$459$	−2.24811	+	1.81304i	−0.104933	+	0.0846253i
$460$	−0.177606	+	3.66630i	−0.00828093	+	0.170942i
$461$	−14.1785	−	19.5150i	−0.660358	−	0.908905i	0.339135	−	0.940738i	$-0.389866\pi$
$461$	−14.1785	−	19.5150i	−0.660358	−	0.908905i	−0.999493	+	0.0318327i	$0.989866\pi$
$462$	−4.43954	+	33.9551i	−0.206546	+	1.57974i
$463$	6.14463	−	8.45736i	0.285565	−	0.393047i	−0.642002	−	0.766703i	$-0.721896\pi$
$463$	6.14463	−	8.45736i	0.285565	−	0.393047i	0.927567	+	0.373656i	$0.121896\pi$
$464$	23.9476	−	8.88555i	1.11174	−	0.412501i
$465$	−18.0076	−	0.940629i	−0.835082	−	0.0436206i
$466$	−9.03694	+	4.72224i	−0.418628	+	0.218754i
$467$	1.73157	+	5.32922i	0.0801275	+	0.246607i	0.983093	−	0.183105i	$-0.0586150\pi$
$467$	1.73157	+	5.32922i	0.0801275	+	0.246607i	−0.902966	+	0.429712i	$0.858615\pi$
$468$	−12.7404	+	19.6952i	−0.588926	+	0.910410i
$469$	−0.893241	−	2.74911i	−0.0412460	−	0.126942i
$470$	5.60169	+	12.7990i	0.258387	+	0.590374i
$471$	−3.36414	−	4.47057i	−0.155012	−	0.205993i
$472$	2.79053	+	0.354124i	0.128445	+	0.0162999i
$473$	−17.0911	−	23.5239i	−0.785851	−	1.08163i
$474$	17.5929	+	32.3335i	0.808069	+	1.48513i
$475$	−0.830355	+	5.98116i	−0.0380993	+	0.274435i
$476$	−3.17550	−	4.18684i	−0.145549	−	0.191903i
$477$	14.1215	−	20.8758i	0.646578	−	0.955836i
$478$	−13.6231	+	13.9062i	−0.623105	+	0.636055i
$479$	4.29353	−	13.2141i	0.196176	−	0.603769i	−0.803784	−	0.594921i	$-0.797183\pi$
$479$	4.29353	−	13.2141i	0.196176	−	0.603769i	0.999961	−	0.00884836i	$-0.00281656\pi$
$480$	19.5286	−	9.93146i	0.891355	−	0.453307i
$481$	5.24572	+	16.1447i	0.239184	+	0.736134i
$482$	19.2198	+	9.54529i	0.875437	+	0.434776i
$483$	−1.96909	+	6.42525i	−0.0895967	+	0.292359i
$484$	0.0927069	+	4.50665i	0.00421395	+	0.204848i
$485$	8.47024	+	33.8511i	0.384614	+	1.53710i
$486$	−5.48171	−	21.3530i	−0.248655	−	0.968592i
$487$	−12.9137	+	17.7742i	−0.585177	+	0.805427i	−0.994251	−	0.107074i	$-0.965852\pi$
$487$	−12.9137	+	17.7742i	−0.585177	+	0.805427i	0.409074	+	0.912501i	$0.365852\pi$
$488$	6.56475	−	13.9304i	0.297172	−	0.630601i
$489$	25.4510	−	0.427251i	1.15093	−	0.0193209i
$490$	36.2686	−	32.2430i	1.63845	−	1.45659i
$491$	10.1785	+	7.39510i	0.459348	+	0.333736i	0.793276	−	0.608863i	$-0.208374\pi$
$491$	10.1785	+	7.39510i	0.459348	+	0.333736i	−0.333927	+	0.942599i	$0.608374\pi$
$492$	10.5444	−	3.86710i	0.475378	−	0.174342i
$493$	−3.54928			−0.159851
$494$	6.60535	+	0.976661i	0.297189	+	0.0439421i
$495$	15.6272	+	12.2217i	0.702388	+	0.549327i
$496$	10.3178	−	15.5042i	0.463281	−	0.696158i
$497$	−69.6532	−	22.6317i	−3.12437	−	1.01517i
$498$	−0.405597	+	0.852302i	−0.0181752	+	0.0381926i
$499$		−	11.6724i		−	0.522527i	−0.965268	−	0.261263i	$-0.915861\pi$
$499$		−	11.6724i		−	0.522527i	0.965268	−	0.261263i	$-0.0841391\pi$
$500$	−9.56407	−	20.2121i	−0.427718	−	0.903912i
$501$	−1.05371	+	1.50271i	−0.0470762	+	0.0671363i
$502$	−16.1862	+	2.73456i	−0.722424	+	0.122049i
$503$	4.93243	−	15.1805i	0.219926	−	0.676863i	−0.778841	−	0.627222i	$-0.784192\pi$
$503$	4.93243	−	15.1805i	0.219926	−	0.676863i	0.998767	−	0.0496418i	$-0.0158080\pi$
$504$	39.1313	−	8.81231i	1.74305	−	0.392532i
$505$	−0.642138	−	1.02572i	−0.0285748	−	0.0456438i
$506$	0.502109	−	3.39586i	0.0223215	−	0.150964i
$507$	2.27107	−	3.23883i	0.100862	−	0.143841i
$508$	−17.6289	−	12.2622i	−0.782156	−	0.544049i
$509$	−6.30000	+	8.67121i	−0.279243	+	0.384345i	−0.925483	−	0.378789i	$-0.876340\pi$
$509$	−6.30000	+	8.67121i	−0.279243	+	0.384345i	0.646240	+	0.763134i	$0.276340\pi$
$510$	−3.02415	+	0.349858i	−0.133912	+	0.0154920i
$511$	28.1036	+	38.6813i	1.24323	+	1.71116i
$512$	−1.45896	+	22.5803i	−0.0644777	+	0.997919i
$513$	−4.88482	+	3.93947i	−0.215670	+	0.173932i
$514$	−0.205557	−	1.21671i	−0.00906671	−	0.0536669i
$515$	−9.88345	+	2.47304i	−0.435517	+	0.108975i
$516$	−18.9764	+	28.2828i	−0.835391	+	1.24508i
$517$	−4.03761	−	12.4265i	−0.177574	−	0.546517i
$518$	12.9119	−	25.9986i	0.567317	−	1.14231i
$519$	−9.92677	+	32.3916i	−0.435737	+	1.42183i
$520$	−22.4424	+	10.3774i	−0.984166	+	0.455079i
$521$	36.9235	+	11.9972i	1.61765	+	0.525606i	0.971385	−	0.237509i	$-0.0763310\pi$
$521$	36.9235	+	11.9972i	1.61765	+	0.525606i	0.646263	+	0.763115i	$0.276331\pi$
$522$	11.2295	−	24.6555i	0.491503	−	1.07914i
$523$	5.88363	+	8.09813i	0.257273	+	0.354106i	0.918042	−	0.396483i	$-0.129770\pi$
$523$	5.88363	+	8.09813i	0.257273	+	0.354106i	−0.660769	+	0.750590i	$0.729770\pi$
$524$	13.4165	+	17.6894i	0.586103	+	0.772765i
$525$	−7.85209	−	40.1784i	−0.342693	−	1.75353i
$526$	−17.4442	−	8.66347i	−0.760604	−	0.377745i
$527$	−2.09358	+	1.52107i	−0.0911976	+	0.0662590i
$528$	−19.0874	+	7.44905i	−0.830673	+	0.324178i
$529$	−6.89922	+	21.2336i	−0.299966	+	0.923200i
$530$	24.3379	−	10.6518i	1.05717	−	0.462687i
$531$	2.35352	−	1.83371i	0.102134	−	0.0795763i
$532$	−6.89992	−	9.09740i	−0.299150	−	0.394423i
$533$	−12.0547	+	3.91681i	−0.522147	+	0.169656i
$534$	3.14564	−	24.0589i	0.136125	−	1.04113i
$535$	−12.7757	+	7.99805i	−0.552340	+	0.345786i
$536$	1.18466	−	1.26011i	0.0511696	−	0.0544286i
$537$	15.5542	−	5.34411i	0.671211	−	0.230615i
$538$	−7.23219	+	3.77917i	−0.311802	+	0.162931i
$539$	−36.7168	+	26.6763i	−1.58150	+	1.14903i
$540$	7.13776	−	22.1145i	0.307160	−	0.951658i
$541$	22.3539	+	16.2411i	0.961071	+	0.698259i	0.953399	−	0.301712i	$-0.0975580\pi$
$541$	22.3539	+	16.2411i	0.961071	+	0.698259i	0.00767157	+	0.999971i	$0.497558\pi$
$542$	31.4754	+	4.65393i	1.35199	+	0.199903i
$543$	−19.2154	+	27.4035i	−0.824613	+	1.17600i
$544$	1.28154	−	2.87113i	0.0549456	−	0.123099i
$545$	−8.33766	−	0.575990i	−0.357146	−	0.0246727i
$546$	−44.5028	+	8.28906i	−1.90454	+	0.354739i
$547$	−3.99568	−	1.29828i	−0.170843	−	0.0555103i	0.222346	−	0.974968i	$-0.428628\pi$
$547$	−3.99568	−	1.29828i	−0.170843	−	0.0555103i	−0.393190	+	0.919457i	$0.628628\pi$
$548$	11.1168	−	36.7707i	0.474886	−	1.57077i
$549$	−5.56603	−	15.3563i	−0.237552	−	0.655391i
$550$	7.04433	+	19.6898i	0.300371	+	0.839575i
$551$	−7.71207			−0.328545
$552$	−3.93697	+	0.817419i	−0.167569	+	0.0347917i
$553$	−21.9519	+	67.5609i	−0.933488	+	2.87298i
$554$	0.601200	−	0.613695i	0.0255425	−	0.0260734i
$555$	−9.16170	−	14.1025i	−0.388893	−	0.598616i
$556$	−7.16335	−	4.98265i	−0.303794	−	0.211311i
$557$		−	29.8853i		−	1.26628i	−0.774036	−	0.633141i	$-0.781765\pi$
$557$		−	29.8853i		−	1.26628i	0.774036	−	0.633141i	$-0.218235\pi$
$558$	−3.94246	−	19.3558i	−0.166898	−	0.819396i
$559$	22.5932	−	31.0968i	0.955589	−	1.31526i
$560$	39.8324	+	14.1797i	1.68323	+	0.599203i
$561$	2.84668	−	0.0477878i	0.120187	−	0.00201760i
$562$	39.2536	−	20.5119i	1.65581	−	0.865243i
$563$	11.1929	+	8.13209i	0.471723	+	0.342727i	0.798112	−	0.602509i	$-0.205832\pi$
$563$	11.1929	+	8.13209i	0.471723	+	0.342727i	−0.326389	+	0.945235i	$0.605832\pi$
$564$	−12.0371	+	9.45197i	−0.506855	+	0.398000i
$565$	−0.962328	+	13.9300i	−0.0404854	+	0.586041i
$566$	−6.03995	+	3.15617i	−0.253878	+	0.132664i
$567$	22.6414	−	36.0194i	0.950850	−	1.51267i
$568$	−8.18691	−	43.0491i	−0.343515	−	1.80630i
$569$	−18.9950	+	6.17185i	−0.796312	+	0.258737i	−0.678789	−	0.734333i	$-0.737495\pi$
$569$	−18.9950	+	6.17185i	−0.796312	+	0.258737i	−0.117522	+	0.993070i	$0.537495\pi$
$570$	−6.57105	+	0.760192i	−0.275231	+	0.0318409i
$571$	4.17672	+	1.35710i	0.174790	+	0.0567928i	0.395105	−	0.918636i	$-0.370708\pi$
$571$	4.17672	+	1.35710i	0.174790	+	0.0567928i	−0.220314	+	0.975429i	$0.570708\pi$
$572$	21.8403	−	7.59638i	0.913187	−	0.317621i
$573$	0.502270	+	29.9198i	0.0209826	+	1.24992i
$574$	19.4123	+	9.64089i	0.810254	+	0.402403i
$575$	0.719413	+	4.04030i	0.0300016	+	0.168492i
$576$	15.8900	+	17.9863i	0.662083	+	0.749431i
$577$	20.3805	−	14.8073i	0.848452	−	0.616437i	−0.0762666	−	0.997087i	$-0.524300\pi$
$577$	20.3805	−	14.8073i	0.848452	−	0.616437i	0.924719	+	0.380651i	$0.124300\pi$
$578$	16.5185	−	16.8618i	0.687081	−	0.701360i
$579$	−3.13115	−	4.16095i	−0.130126	−	0.172923i
$580$	23.8889	−	15.6483i	0.991933	−	0.649761i
$581$	−1.73242	+	0.562896i	−0.0718728	+	0.0233529i
$582$	−33.5768	+	18.2694i	−1.39180	+	0.757292i
$583$	−23.6295	+	7.67769i	−0.978634	+	0.317978i
$584$	−12.1953	+	25.8784i	−0.504644	+	1.07086i
$585$	−8.98183	+	24.6394i	−0.371353	+	1.01871i
$586$	−6.90053	−	40.8450i	−0.285058	−	1.68729i
$587$	−3.48619	−	2.53287i	−0.143891	−	0.104543i	0.513511	−	0.858083i	$-0.328345\pi$
$587$	−3.48619	−	2.53287i	−0.143891	−	0.104543i	−0.657402	+	0.753540i	$0.728345\pi$
$588$	44.1446	+	29.6190i	1.82049	+	1.22147i
$589$	−4.54905	+	3.30508i	−0.187440	+	0.136183i
$590$	3.12972	−	0.308932i	0.128849	−	0.0127185i
$591$	−0.944819	−	2.74992i	−0.0388647	−	0.113116i
$592$	17.3540	−	0.714285i	0.713244	−	0.0293569i
$593$		−	1.44492i		−	0.0593356i	−0.999560	−	0.0296678i	$-0.990555\pi$
$593$		−	1.44492i		−	0.0593356i	0.999560	−	0.0296678i	$-0.00944494\pi$
$594$	−8.67463	+	19.9260i	−0.355924	+	0.817574i
$595$	−4.50376	−	3.77266i	−0.184636	−	0.154664i
$596$	3.08464	+	8.86861i	0.126352	+	0.363273i
$597$	−26.1305	+	19.6634i	−1.06945	+	0.804769i
$598$	4.47447	−	0.755936i	0.182975	−	0.0309125i
$599$	4.78359			0.195452			0.0977261	−	0.995213i	$-0.468843\pi$
$599$	4.78359			0.195452			0.0977261	+	0.995213i	$0.468843\pi$
$600$	18.8120	−	15.6879i	0.767996	−	0.640454i
$601$	−5.10574			−0.208267			−0.104134	−	0.994563i	$-0.533207\pi$
$601$	−5.10574			−0.208267			−0.104134	+	0.994563i	$0.533207\pi$
$602$	−64.8107	+	10.9494i	−2.64149	+	0.446264i
$603$	−0.0615734	−	1.83342i	−0.00250746	−	0.0746627i
$604$	4.91312	+	14.1257i	0.199912	+	0.574765i
$605$	1.22331	+	4.88892i	0.0497345	+	0.198763i
$606$	0.911656	−	0.962398i	0.0370335	−	0.0390948i
$607$			28.3746i			1.15169i	0.817559	+	0.575844i	$0.195327\pi$
$607$			28.3746i			1.15169i	−0.817559	+	0.575844i	$0.804673\pi$
$608$	2.78461	−	6.23856i	0.112931	−	0.253007i
$609$	49.4472	−	16.9891i	2.00370	−	0.688433i
$610$	3.68623	−	16.8182i	0.149251	−	0.680950i
$611$	13.9735	−	10.1524i	0.565309	−	0.410721i
$612$	−1.20065	−	3.11125i	−0.0485336	−	0.125765i
$613$	17.6715	+	12.8391i	0.713746	+	0.518567i	0.884380	−	0.466768i	$-0.154582\pi$
$613$	17.6715	+	12.8391i	0.713746	+	0.518567i	−0.170634	+	0.985334i	$0.554582\pi$
$614$	−0.150193	−	0.889011i	−0.00606130	−	0.0358776i
$615$	10.5298	−	6.84074i	0.424604	−	0.275845i
$616$	−35.7689	−	16.8562i	−1.44117	−	0.679156i
$617$	−12.5336	+	4.07242i	−0.504584	+	0.163949i	−0.550238	−	0.835008i	$-0.685463\pi$
$617$	−12.5336	+	4.07242i	−0.504584	+	0.163949i	0.0456535	+	0.998957i	$0.485463\pi$
$618$	−5.33409	−	9.80335i	−0.214568	−	0.394349i
$619$	17.4954	−	5.68459i	0.703199	−	0.228483i	0.0644749	−	0.997919i	$-0.479463\pi$
$619$	17.4954	−	5.68459i	0.703199	−	0.228483i	0.638724	+	0.769436i	$0.279463\pi$
$620$	7.38491	−	19.4681i	0.296585	−	0.781858i
$621$	−2.32996	+	3.57214i	−0.0934981	+	0.143345i
$622$	23.0760	−	23.5556i	0.925263	−	0.944492i
$623$	37.8826	−	27.5233i	1.51773	−	1.10270i
$624$	−17.1623	−	20.9543i	−0.687041	−	0.838841i
$625$	−15.4576	−	19.6485i	−0.618305	−	0.785938i
$626$	29.7935	+	14.7966i	1.19079	+	0.591392i
$627$	6.18543	−	0.103836i	0.247022	−	0.00414681i
$628$	6.10194	−	2.12235i	0.243494	−	0.0846909i
$629$	−2.29532	−	0.745793i	−0.0915202	−	0.0297367i
$630$	40.4566	−	19.3496i	1.61183	−	0.770906i
$631$	14.0665	−	4.57049i	0.559979	−	0.181948i	−0.0153325	−	0.999882i	$-0.504881\pi$
$631$	14.0665	−	4.57049i	0.559979	−	0.181948i	0.575312	+	0.817934i	$0.304881\pi$
$632$	−41.7559	+	7.94099i	−1.66096	+	0.315875i
$633$	−1.41098	+	4.60412i	−0.0560815	+	0.182997i
$634$	−7.21028	+	3.76772i	−0.286357	+	0.149635i
$635$	−22.2682	−	8.97518i	−0.883686	−	0.356169i
$636$	17.9733	+	22.8891i	0.712688	+	0.907612i
$637$	−48.5368	−	35.2641i	−1.92310	−	1.39721i
$638$	−23.6707	+	12.3691i	−0.937132	+	0.489697i
$639$	−38.4979	−	26.0421i	−1.52296	−	1.03021i
$640$	4.03284	+	24.9747i	0.159412	+	0.987212i
$641$	20.0413	−	27.5845i	0.791583	−	1.08952i	−0.202326	−	0.979318i	$-0.564850\pi$
$641$	20.0413	−	27.5845i	0.791583	−	1.08952i	0.993909	−	0.110202i	$-0.0351499\pi$
$642$	−11.9870	−	11.3550i	−0.473089	−	0.448146i
$643$			4.06227i			0.160200i	0.996787	+	0.0801001i	$0.0255240\pi$
$643$			4.06227i			0.160200i	−0.996787	+	0.0801001i	$0.974476\pi$
$644$	−6.37031	−	4.43103i	−0.251026	−	0.174607i
$645$	−13.6402	+	35.5523i	−0.537084	+	1.39987i
$646$	−0.664321	+	0.678127i	−0.0261373	+	0.0266806i
$647$	−8.68537	+	26.7308i	−0.341457	+	1.05090i	0.621996	+	0.783020i	$0.286322\pi$
$647$	−8.68537	+	26.7308i	−0.341457	+	1.05090i	−0.963453	+	0.267876i	$0.913678\pi$
$648$	25.4114	+	1.50318i	0.998255	+	0.0590504i
$649$	−2.94118			−0.115451
$650$	−21.8769	+	16.8995i	−0.858082	+	0.662854i
$651$	21.8861	−	31.2122i	0.857784	−	1.22330i
$652$	−8.50591	+	28.1347i	−0.333117	+	1.10184i
$653$	−0.961734	−	0.312486i	−0.0376356	−	0.0122285i	0.290139	−	0.956985i	$-0.406299\pi$
$653$	−0.961734	−	0.312486i	−0.0376356	−	0.0122285i	−0.327774	+	0.944756i	$0.606299\pi$
$654$	−1.67642	−	9.00043i	−0.0655530	−	0.351945i
$655$	19.0284	+	15.9395i	0.743500	+	0.622807i
$656$	0.533333	+	12.9576i	0.0208232	+	0.505911i
$657$	10.3400	+	28.5273i	0.403400	+	1.11295i
$658$	−29.2181	−	4.32016i	−1.13904	−	0.168417i
$659$	−15.8356	−	11.5053i	−0.616869	−	0.448182i	0.234957	−	0.972006i	$-0.424505\pi$
$659$	−15.8356	−	11.5053i	−0.616869	−	0.448182i	−0.851827	+	0.523824i	$0.824505\pi$
$660$	−18.9493	+	12.8723i	−0.737601	+	0.501053i
$661$	13.7758	−	10.0087i	0.535816	−	0.389293i	−0.286713	−	0.958017i	$-0.592563\pi$
$661$	13.7758	−	10.0087i	0.535816	−	0.389293i	0.822529	+	0.568724i	$0.192563\pi$
$662$	1.28506	−	0.671508i	0.0499454	−	0.0260989i
$663$	1.22294	+	3.55939i	0.0474951	+	0.138235i
$664$	−0.794089	−	0.746542i	−0.0308166	−	0.0289715i
$665$	−9.78603	−	8.19746i	−0.379486	−	0.317884i
$666$	12.4429	−	13.5851i	0.482152	−	0.526411i
$667$	−4.98469	+	1.61962i	−0.193008	+	0.0627121i
$668$	−1.28067	−	1.68854i	−0.0495505	−	0.0653314i
$669$	−5.94107	+	19.3860i	−0.229695	+	0.749508i
$670$	0.977422	−	1.66847i	0.0377611	−	0.0644585i
$671$	−4.97578	+	15.3139i	−0.192088	+	0.591186i
$672$	−4.11089	+	46.1338i	−0.158581	+	1.77965i
$673$	−2.43636	+	1.77012i	−0.0939149	+	0.0682331i	−0.633752	−	0.773537i	$-0.718486\pi$
$673$	−2.43636	+	1.77012i	−0.0939149	+	0.0682331i	0.539837	+	0.841770i	$0.318486\pi$
$674$	24.4339	+	12.1348i	0.941160	+	0.467416i
$675$	2.27274	−	25.8812i	0.0874778	−	0.996166i
$676$	2.76025	+	3.63933i	0.106163	+	0.139974i
$677$	11.6857	+	16.0840i	0.449119	+	0.618159i	0.972208	−	0.234119i	$-0.0752205\pi$
$677$	11.6857	+	16.0840i	0.449119	+	0.618159i	−0.523089	+	0.852278i	$0.675220\pi$
$678$	−15.0373	+	2.80085i	−0.577506	+	0.107566i
$679$	−70.1588	−	22.7960i	−2.69245	−	0.874830i
$680$	0.681835	−	3.44852i	0.0261472	−	0.132245i
$681$	−35.0437	−	10.7395i	−1.34288	−	0.411539i
$682$	−8.66153	+	17.4403i	−0.331667	+	0.667824i
$683$	−1.22546	−	3.77158i	−0.0468909	−	0.144315i	0.924870	−	0.380284i	$-0.124174\pi$
$683$	−1.22546	−	3.77158i	−0.0468909	−	0.144315i	−0.971761	+	0.235969i	$0.924174\pi$
$684$	−2.60885	−	6.76031i	−0.0997519	−	0.258487i
$685$	2.95996	−	42.8465i	0.113094	−	1.63708i
$686$	9.29459	+	55.0158i	0.354869	+	2.10051i
$687$	−45.5374	+	15.6458i	−1.73736	+	0.596923i
$688$	−24.4054	−	30.8395i	−0.930445	−	1.17574i
$689$	−19.3052	−	26.5713i	−0.735468	−	1.01229i
$690$	−4.08754	+	1.87134i	−0.155610	+	0.0712408i
$691$	3.57072	−	4.91468i	0.135837	−	0.186963i	−0.735680	−	0.677330i	$-0.763137\pi$
$691$	3.57072	−	4.91468i	0.135837	−	0.186963i	0.871516	+	0.490366i	$0.163137\pi$
$692$	−32.1147	−	22.3382i	−1.22082	−	0.849169i
$693$	−39.4301	+	14.2918i	−1.49783	+	0.542900i
$694$	0.254155	−	1.71890i	0.00964759	−	0.0652485i
$695$	−9.04848	−	3.64699i	−0.343228	−	0.138338i
$696$	23.1491	+	21.0423i	0.877464	+	0.797607i
$697$	0.556859	−	1.71384i	0.0210925	−	0.0649162i
$698$	−35.1353	+	5.93591i	−1.32989	+	0.224678i
$699$	−10.2247	−	7.16962i	−0.386735	−	0.271180i
$700$	46.9464	+	5.53594i	1.77441	+	0.209239i
$701$			21.6026i			0.815921i	0.913000	+	0.407960i	$0.133760\pi$
$701$			21.6026i			0.815921i	−0.913000	+	0.407960i	$0.866240\pi$
$702$	−28.5950	−	2.76625i	−1.07925	−	0.104405i
$703$	−4.98740	−	1.62050i	−0.188103	−	0.0611184i
$704$	−1.45896	−	23.6142i	−0.0549865	−	0.889992i
$705$	−10.7661	+	13.2997i	−0.405474	+	0.500895i
$706$	−42.3503	−	6.26187i	−1.59387	−	0.235669i
$707$	2.55830			0.0962147
$708$	1.18621	+	3.23444i	0.0445806	+	0.121558i
$709$	−27.4257	−	19.9260i	−1.02999	−	0.748335i	−0.0616869	−	0.998096i	$-0.519648\pi$
$709$	−27.4257	−	19.9260i	−1.02999	−	0.748335i	−0.968308	+	0.249761i	$0.919648\pi$
$710$	−19.6436	−	44.8825i	−0.737210	−	1.68441i
$711$	−25.2598	+	37.3415i	−0.947316	+	1.40042i
$712$	25.3441	+	11.9435i	0.949810	+	0.447601i
$713$	−2.24617	+	3.09158i	−0.0841196	+	0.115781i
$714$	2.76553	−	5.81136i	0.103498	−	0.217485i
$715$	21.9131	−	13.7184i	0.819503	−	0.513039i
$716$	0.390582	+	18.9869i	0.0145968	+	0.709574i
$717$	−22.7959	−	6.98604i	−0.851327	−	0.260898i
$718$	26.6078	+	13.2144i	0.992992	+	0.493158i
$719$	12.2302	+	37.6406i	0.456108	+	1.40376i	0.869829	+	0.493353i	$0.164229\pi$
$719$	12.2302	+	37.6406i	0.456108	+	1.40376i	−0.413721	+	0.910404i	$0.635771\pi$
$720$	21.7983	+	15.6472i	0.812374	+	0.583136i
$721$	6.65570	−	20.4841i	0.247871	−	0.762869i
$722$	17.3601	−	17.7209i	0.646077	−	0.659504i
$723$	0.441147	+	26.2788i	0.0164064	+	0.977318i
$724$	−23.3543	−	30.7922i	−0.867956	−	1.14438i
$725$	22.1409	−	23.0048i	0.822292	−	0.854375i
$726$	−4.84930	+	2.63855i	−0.179975	+	0.0979257i
$727$	−19.2803	−	26.5370i	−0.715066	−	0.984203i	−0.999673	−	0.0255594i	$-0.991863\pi$
$727$	−19.2803	−	26.5370i	−0.715066	−	0.984203i	0.284608	−	0.958644i	$-0.408137\pi$
$728$	6.58053	−	51.8553i	0.243891	−	1.92188i
$729$	20.1371	−	17.9860i	0.745819	−	0.666148i
$730$	−6.84788	+	31.2431i	−0.253451	+	1.15636i
$731$	1.68871	+	5.19730i	0.0624590	+	0.192229i
$732$	18.8476	−	0.704359i	0.696628	−	0.0260339i
$733$	10.6589	+	32.8046i	0.393694	+	1.21167i	0.929974	+	0.367625i	$0.119829\pi$
$733$	10.6589	+	32.8046i	0.393694	+	1.21167i	−0.536280	+	0.844040i	$0.680171\pi$
$734$	0.488252	−	0.255135i	0.0180217	−	0.00941721i
$735$	55.4911	+	21.2901i	2.04682	+	0.785297i
$736$	0.489660	−	4.61708i	0.0180491	−	0.170188i
$737$	−1.06295	+	1.46303i	−0.0391544	+	0.0538914i
$738$	10.1435	+	9.29069i	0.373388	+	0.341995i
$739$	5.12509	+	7.05408i	0.188530	+	0.259489i	0.892810	−	0.450433i	$-0.148730\pi$
$739$	5.12509	+	7.05408i	0.188530	+	0.259489i	−0.704281	+	0.709922i	$0.748730\pi$
$740$	18.7371	−	5.10009i	0.688788	−	0.187483i
$741$	2.65728	+	7.73406i	0.0976175	+	0.284118i
$742$	−8.21497	+	55.5595i	−0.301581	+	2.03965i
$743$	0.480665			0.0176339			0.00881694	−	0.999961i	$-0.497193\pi$
$743$	0.480665			0.0176339			0.00881694	+	0.999961i	$0.497193\pi$
$744$	22.6726	+	2.49128i	0.831218	+	0.0913348i
$745$	5.57060	+	8.89818i	0.204091	+	0.326004i
$746$	22.9034	−	23.3794i	0.838552	−	0.855980i
$747$	−1.15537	+	0.0388019i	−0.0422729	+	0.00141969i
$748$	−0.951382	+	3.14686i	−0.0347860	+	0.115060i
$749$		−	31.8645i		−	1.16430i
$750$	16.5974	−	21.7836i	0.606053	−	0.795424i
$751$			23.7249i			0.865735i	0.901458	+	0.432868i	$0.142498\pi$
$751$			23.7249i			0.865735i	−0.901458	+	0.432868i	$0.857502\pi$
$752$	−6.14761	−	16.5685i	−0.224180	−	0.604192i
$753$	−12.0887	−	16.0645i	−0.440536	−	0.585424i
$754$	−25.2201	−	24.7067i	−0.918463	−	0.899763i
$755$	8.87268	+	14.1728i	0.322910	+	0.515799i
$756$	31.6195	+	37.5977i	1.14999	+	1.36741i
$757$	19.1634			0.696505			0.348252	−	0.937401i	$-0.386775\pi$
$757$	19.1634			0.696505			0.348252	+	0.937401i	$0.386775\pi$
$758$	−28.7986	−	4.25813i	−1.04601	−	0.154662i
$759$	3.97614	−	1.36613i	0.144325	−	0.0495872i
$760$	1.48153	−	7.49314i	0.0537408	−	0.271805i
$761$	−0.518237	−	0.713292i	−0.0187861	−	0.0258568i	0.799521	−	0.600639i	$-0.205087\pi$
$761$	−0.518237	−	0.713292i	−0.0187861	−	0.0258568i	−0.818307	+	0.574782i	$0.805087\pi$
$762$	3.40969	−	26.0784i	0.123520	−	0.944722i
$763$	10.3851	−	14.2939i	0.375968	−	0.517475i
$764$	−33.0748	−	9.99944i	−1.19660	−	0.361767i
$765$	−2.08343	−	3.09211i	−0.0753264	−	0.111795i
$766$	18.6944	+	35.7754i	0.675456	+	1.29262i
$767$	−1.20146	−	3.69772i	−0.0433823	−	0.133517i
$768$	−25.3803	+	11.1283i	−0.915833	+	0.401558i
$769$	−4.35809	−	13.4128i	−0.157157	−	0.483679i	0.841216	−	0.540699i	$-0.181840\pi$
$769$	−4.35809	−	13.4128i	−0.157157	−	0.483679i	−0.998373	+	0.0570200i	$0.981840\pi$
$770$	−43.1839	−	9.46508i	−1.55624	−	0.341098i
$771$	1.20757	−	0.908705i	0.0434895	−	0.0327262i
$772$	5.67933	−	1.97536i	0.204404	−	0.0710948i
$773$	18.3307	+	25.2300i	0.659309	+	0.907461i	0.999458	−	0.0329106i	$-0.0104777\pi$
$773$	18.3307	+	25.2300i	0.659309	+	0.907461i	−0.340149	+	0.940371i	$0.610478\pi$
$774$	−41.4466	−	4.71292i	−1.48977	−	0.169402i
$775$	3.20114	−	23.0583i	0.114988	−	0.828277i
$776$	−8.24635	−	43.3616i	−0.296027	−	1.55659i
$777$	35.5473	−	0.596740i	1.27525	−	0.0214079i
$778$	13.3598	+	13.0878i	0.478973	+	0.469221i
$779$	1.20998	−	3.72392i	0.0433519	−	0.133423i
$780$	−23.9241	−	18.5652i	−0.856620	−	0.664742i
$781$	14.1588	+	43.5763i	0.506641	+	1.55928i
$782$	−0.286968	+	0.577821i	−0.0102620	+	0.0206629i
$783$	33.1391	−	1.67020i	1.18430	−	0.0596879i
$784$	−48.1351	+	38.0926i	−1.71911	+	1.36045i
$785$	6.12228	−	3.83278i	0.218514	−	0.136798i
$786$	−11.6844	+	24.5530i	−0.416768	+	0.875777i
$787$	−6.00401	+	8.26381i	−0.214020	+	0.294573i	−0.902507	−	0.430676i	$-0.858275\pi$
$787$	−6.00401	+	8.26381i	−0.214020	+	0.294573i	0.688487	+	0.725249i	$0.258275\pi$
$788$	3.35681	−	0.0690536i	0.119582	−	0.00245993i
$789$	−0.400393	−	23.8511i	−0.0142544	−	0.849121i
$790$	−43.5343	+	19.0535i	−1.54888	+	0.677893i
$791$	−23.8814	−	17.3508i	−0.849124	−	0.616925i
$792$	−18.8499	−	16.5652i	−0.669804	−	0.588619i
$793$	−21.2856			−0.755873
$794$	−0.327448	+	2.21460i	−0.0116207	+	0.0785930i
$795$	25.2899	+	20.4722i	0.896941	+	0.726073i
$796$	−12.4051	−	35.6658i	−0.439688	−	1.26414i
$797$	38.0081	+	12.3496i	1.34632	+	0.437445i	0.891452	−	0.453116i	$-0.149688\pi$
$797$	38.0081	+	12.3496i	1.34632	+	0.437445i	0.454864	+	0.890561i	$0.349688\pi$
$798$	6.00911	−	12.6273i	0.212720	−	0.447001i
$799$			2.45562i			0.0868738i
$800$	10.6149	+	26.2169i	0.375293	+	0.926906i
$801$	27.9383	−	10.1265i	0.987150	−	0.357801i
$802$	0.158726	+	0.939519i	0.00560482	+	0.0331756i
$803$	9.24346	−	28.4484i	0.326195	−	1.00392i
$804$	2.03761	+	0.578883i	0.0718610	+	0.0204156i
$805$	−8.04674	−	3.24324i	−0.283610	−	0.114309i
$806$	−25.4646	−	3.76517i	−0.896952	−	0.132623i
$807$	−8.18277	−	5.73779i	−0.288047	−	0.201980i
$808$	0.736674	+	1.34179i	0.0259161	+	0.0472042i
$809$	−2.36317	+	3.25263i	−0.0830847	+	0.114356i	−0.848536	−	0.529137i	$-0.822516\pi$
$809$	−2.36317	+	3.25263i	−0.0830847	+	0.114356i	0.765452	+	0.643494i	$0.222516\pi$
$810$	28.0715	−	4.68966i	0.986331	−	0.164778i
$811$	−29.1134	−	40.0711i	−1.02231	−	1.40709i	−0.910572	−	0.413350i	$-0.864359\pi$
$811$	−29.1134	−	40.0711i	−1.02231	−	1.40709i	−0.111737	−	0.993738i	$-0.535641\pi$
$812$	1.24167	+	60.3600i	0.0435742	+	2.11822i
$813$	12.6623	+	36.8539i	0.444086	+	1.29252i
$814$	−17.9069	+	3.02526i	−0.627636	+	0.106035i
$815$	−2.26478	+	32.7836i	−0.0793319	+	1.14836i
$816$	3.84433	−	0.222921i	0.134579	−	0.00780381i
$817$	3.66932	+	11.2930i	0.128373	+	0.395092i
$818$	−15.1701	−	7.53403i	−0.530409	−	0.263421i
$819$	−34.0751	−	43.7344i	−1.19068	−	1.52820i
$820$	3.80807	+	13.9903i	0.132983	+	0.488564i
$821$	39.6675	+	12.8888i	1.38441	+	0.449821i	0.904116	−	0.427288i	$-0.140531\pi$
$821$	39.6675	+	12.8888i	1.38441	+	0.449821i	0.480291	+	0.877109i	$0.340531\pi$
$822$	46.2524	−	8.61495i	1.61324	−	0.300481i
$823$	2.29773	+	3.16256i	0.0800939	+	0.110240i	0.847184	−	0.531300i	$-0.178296\pi$
$823$	2.29773	+	3.16256i	0.0800939	+	0.110240i	−0.767090	+	0.641539i	$0.778296\pi$
$824$	12.6602	−	2.40767i	0.441039	−	0.0838751i
$825$	−17.4483	+	18.7490i	−0.607470	+	0.652755i
$826$	−2.95730	+	5.95463i	−0.102898	+	0.207188i
$827$	−20.3092	+	14.7555i	−0.706221	+	0.513100i	−0.881952	−	0.471338i	$-0.843771\pi$
$827$	−20.3092	+	14.7555i	−0.706221	+	0.513100i	0.175731	+	0.984438i	$0.443771\pi$
$828$	−3.10597	−	3.82163i	−0.107940	−	0.132811i
$829$	−0.455407	+	1.40160i	−0.0158169	+	0.0486795i	−0.958653	−	0.284576i	$-0.908147\pi$
$829$	−0.455407	+	1.40160i	−0.0158169	+	0.0486795i	0.942837	+	0.333256i	$0.108147\pi$
$830$	−1.05142	−	0.615945i	−0.0364954	−	0.0213798i
$831$	1.00600	+	0.308301i	0.0348979	+	0.0106948i
$832$	29.0923	−	11.4805i	1.00859	−	0.398016i
$833$	8.11210	−	2.63578i	0.281068	−	0.0913244i
$834$	1.38550	−	10.5967i	0.0479758	−	0.366935i
$835$	−1.81635	−	1.52150i	−0.0628573	−	0.0526536i
$836$	−2.06722	+	6.83767i	−0.0714962	+	0.236486i
$837$	18.8317	−	15.1872i	0.650918	−	0.524948i
$838$	3.37177	+	6.45255i	0.116476	+	0.222900i
$839$	37.4142	−	27.1830i	1.29168	−	0.938463i	0.291845	−	0.956466i	$-0.405731\pi$
$839$	37.4142	−	27.1830i	1.29168	−	0.938463i	0.999838	+	0.0180031i	$0.00573088\pi$
$840$	7.00775	+	51.3071i	0.241790	+	1.77026i
$841$	9.52819	+	6.92264i	0.328558	+	0.238712i
$842$	2.12716	−	14.3864i	0.0733069	−	0.495789i
$843$	44.4130	+	31.1426i	1.52967	+	1.07261i
$844$	−4.56475	−	3.17513i	−0.157125	−	0.109292i
$845$	3.91481	+	3.27931i	0.134673	+	0.112812i
$846$	−17.0583	−	7.76934i	−0.586476	−	0.267115i
$847$	−10.1326	−	3.29229i	−0.348161	−	0.113124i
$848$	−31.5058	+	11.6900i	−1.08191	+	0.401435i
$849$	−6.83383	−	4.79190i	−0.234536	−	0.164458i
$850$	−0.115598	−	3.92850i	−0.00396499	−	0.134746i
$851$	−3.56392			−0.122170
$852$	42.2109	−	33.1454i	1.44612	−	1.13554i
$853$	10.9501	−	33.7010i	0.374924	−	1.15390i	−0.568605	−	0.822610i	$-0.692517\pi$
$853$	10.9501	−	33.7010i	0.374924	−	1.15390i	0.943530	−	0.331288i	$-0.107483\pi$
$854$	26.0010	+	25.4717i	0.889737	+	0.871622i
$855$	−4.52699	−	6.71872i	−0.154820	−	0.229775i
$856$	16.7125	−	9.17553i	0.571222	−	0.313613i
$857$			45.5905i			1.55734i	0.627433	+	0.778671i	$0.284106\pi$
$857$			45.5905i			1.55734i	−0.627433	+	0.778671i	$0.715894\pi$
$858$	20.5603	+	19.4763i	0.701918	+	0.664910i
$859$	−5.53094	+	7.61269i	−0.188713	+	0.259742i	−0.892882	−	0.450291i	$-0.851320\pi$
$859$	−5.53094	+	7.61269i	−0.188713	+	0.259742i	0.704168	+	0.710033i	$0.251320\pi$
$860$	−34.2803	−	27.5359i	−1.16895	−	0.938967i
$861$	0.445566	+	26.5420i	0.0151848	+	0.904549i
$862$	0.795971	+	1.52325i	0.0271109	+	0.0518820i
$863$	28.3473	+	20.5955i	0.964954	+	0.701080i	0.954296	−	0.298863i	$-0.0966075\pi$
$863$	28.3473	+	20.5955i	0.964954	+	0.701080i	0.0106577	+	0.999943i	$0.496607\pi$
$864$	−10.6145	+	27.4104i	−0.361113	+	0.932522i
$865$	−40.5660	−	16.3501i	−1.37929	−	0.555921i
$866$	19.0183	+	36.3953i	0.646268	+	1.23676i
$867$	27.6409	+	8.47086i	0.938735	+	0.287685i
$868$	26.6002	+	35.0718i	0.902870	+	1.19042i
$869$	42.2673	−	13.7335i	1.43382	−	0.465876i
$870$	30.4714	+	17.1704i	1.03308	+	0.582130i
$871$	−2.27357	−	0.738727i	−0.0770370	−	0.0250308i
$872$	10.4874	+	1.33088i	0.355149	+	0.0450691i
$873$	−38.7774	−	26.2311i	−1.31242	−	0.887789i
$874$	−0.623542	+	1.25552i	−0.0210916	+	0.0424687i
$875$	52.5477	−	5.65688i	1.77644	−	0.191237i
$876$	−35.0131	+	1.30848i	−1.18298	+	0.0442095i
$877$	29.8645	−	21.6978i	1.00845	−	0.732684i	0.0445692	−	0.999006i	$-0.485808\pi$
$877$	29.8645	−	21.6978i	1.00845	−	0.732684i	0.963884	+	0.266322i	$0.0858085\pi$
$878$	−6.67830	−	6.54233i	−0.225382	−	0.220793i
$879$	40.5381	−	30.5052i	1.36731	−	1.02892i
$880$	−7.47067	−	25.3749i	−0.251836	−	0.855387i
$881$	35.4501	−	11.5184i	1.19434	−	0.388066i	0.356666	−	0.934232i	$-0.383913\pi$
$881$	35.4501	−	11.5184i	1.19434	−	0.388066i	0.837677	+	0.546166i	$0.183913\pi$
$882$	−7.35605	+	64.6910i	−0.247691	+	2.17826i
$883$	9.25857	−	3.00829i	0.311576	−	0.101237i	−0.149055	−	0.988829i	$-0.547623\pi$
$883$	9.25857	−	3.00829i	0.311576	−	0.101237i	0.460631	+	0.887592i	$0.347623\pi$
$884$	−4.34494	+	0.0893804i	−0.146136	+	0.00300619i
$885$	2.09836	+	3.22998i	0.0705357	+	0.108575i
$886$	47.1133	−	7.95951i	1.58280	−	0.267405i
$887$	−13.4889	−	9.80028i	−0.452914	−	0.329061i	0.337831	−	0.941207i	$-0.390307\pi$
$887$	−13.4889	−	9.80028i	−0.452914	−	0.329061i	−0.790745	+	0.612146i	$0.790307\pi$
$888$	10.5490	+	18.4723i	0.354001	+	0.619889i
$889$	41.0625	−	29.8336i	1.37719	−	1.00059i
$890$	30.5980	+	6.70649i	1.02565	+	0.224802i
$891$	−26.5566	+	1.78576i	−0.889680	+	0.0598253i
$892$	−19.2203	−	13.3692i	−0.643543	−	0.447632i
$893$			5.33573i			0.178553i
$894$	−7.90868	+	8.34888i	−0.264506	+	0.279228i
$895$	5.15391	+	20.5975i	0.172276	+	0.688498i
$896$	−49.2756	−	20.7898i	−1.64618	−	0.694539i
$897$	3.34177	+	4.44084i	0.111578	+	0.148275i
$898$	−0.567564	−	3.35948i	−0.0189398	−	0.112107i
$899$	29.7312			0.991590
$900$	27.6555	+	11.6263i	0.921851	+	0.387545i
$901$	4.66948			0.155563
$902$	−2.25887	−	13.3705i	−0.0752120	−	0.445188i
$903$	−48.4040	−	64.3236i	−1.61079	−	2.14056i
$904$	2.22354	−	17.5217i	0.0739539	−	0.582764i
$905$	−33.1230	−	27.7461i	−1.10104	−	0.922312i
$906$	−12.5967	+	13.2978i	−0.418498	+	0.441791i
$907$		−	51.1519i		−	1.69847i	−0.528015	−	0.849235i	$-0.677064\pi$
$907$		−	51.1519i		−	1.69847i	0.528015	−	0.849235i	$-0.322936\pi$
$908$	24.1671	−	34.7440i	0.802013	−	1.15302i
$909$	1.56008	+	0.449601i	0.0517446	+	0.0149123i
$910$	−5.74075	−	58.1583i	−0.190304	−	1.92793i
$911$	26.1140	−	18.9729i	0.865194	−	0.628600i	−0.0640988	−	0.997944i	$-0.520417\pi$
$911$	26.1140	−	18.9729i	0.865194	−	0.628600i	0.929293	+	0.369343i	$0.120417\pi$
$912$	8.35320	−	0.484377i	0.276602	−	0.0160393i
$913$	0.921962	+	0.669844i	0.0305125	+	0.0221686i
$914$	0.476120	−	0.0804377i	0.0157487	−	0.00266064i
$915$	20.3675	−	5.46122i	0.673330	−	0.180542i
$916$	−1.14350	−	55.5873i	−0.0377821	−	1.83666i
$917$	−49.9073	+	16.2159i	−1.64808	+	0.535495i
$918$	2.70776	−	3.05781i	0.0893693	−	0.100923i
$919$	27.0159	−	8.77801i	0.891173	−	0.289560i	0.172584	−	0.984995i	$-0.444788\pi$
$919$	27.0159	−	8.77801i	0.891173	−	0.289560i	0.718589	+	0.695435i	$0.244788\pi$
$920$	−0.616060	−	5.15432i	−0.0203109	−	0.169933i
$921$	0.882330	−	0.663960i	0.0290737	−	0.0218782i
$922$	24.3687	+	23.8725i	0.802540	+	0.786200i
$923$	−49.0013	+	35.6015i	−1.61290	+	1.17184i
$924$	−1.80857	−	48.3947i	−0.0594976	−	1.59207i
$925$	19.1524	−	10.2248i	0.629727	−	0.336190i
$926$	−6.57598	+	13.2410i	−0.216100	+	0.435125i
$927$	7.65865	−	11.3218i	0.251543	−	0.371856i
$928$	−31.3005	+	18.0322i	−1.02749	+	0.591935i
$929$	−17.8805	−	5.80972i	−0.586639	−	0.190611i	0.000633358	−	1.00000i	$-0.499798\pi$
$929$	−17.8805	−	5.80972i	−0.586639	−	0.190611i	−0.587273	+	0.809389i	$0.699798\pi$
$930$	25.3323	−	2.93065i	0.830680	−	0.0960998i
$931$	17.6264	−	5.72718i	0.577683	−	0.187701i
$932$	11.4891	−	8.71391i	0.376338	−	0.285434i
$933$	38.6137	+	11.8336i	1.26415	+	0.387414i
$934$	−3.67008	−	7.02342i	−0.120089	−	0.229813i
$935$	−0.253315	+	3.66683i	−0.00828429	+	0.119918i
$936$	13.1260	−	30.4654i	0.429038	−	0.995794i
$937$	27.4672	+	19.9561i	0.897315	+	0.651937i	0.937775	−	0.347244i	$-0.112882\pi$
$937$	27.4672	+	19.9561i	0.897315	+	0.651937i	−0.0404600	+	0.999181i	$0.512882\pi$
$938$	1.89323	+	3.62308i	0.0618162	+	0.118298i
$939$	0.683844	+	40.7360i	0.0223164	+	1.32937i
$940$	−10.8265	−	16.5279i	−0.353123	−	0.539082i
$941$	−21.7929	+	29.9953i	−0.710427	+	0.977819i	0.289361	+	0.957220i	$0.406557\pi$
$941$	−21.7929	+	29.9953i	−0.710427	+	0.977819i	−0.999788	+	0.0205986i	$0.993443\pi$
$942$	5.74434	+	5.44147i	0.187161	+	0.177293i
$943$		−	2.66106i		−	0.0866561i
$944$	−3.97469	+	0.163597i	−0.129365	+	0.00532464i
$945$	43.8263	+	33.1055i	1.42567	+	1.07692i
$946$	29.3746	+	28.7766i	0.955052	+	0.935608i
$947$	−14.6026	+	44.9422i	−0.474521	+	1.46043i	0.372081	+	0.928200i	$0.378644\pi$
$947$	−14.6026	+	44.9422i	−0.474521	+	1.46043i	−0.846602	+	0.532226i	$0.821356\pi$
$948$	−32.1498	−	40.9429i	−1.04418	−	1.32976i
$949$	39.5420			1.28359
$950$	−0.251179	−	8.53607i	−0.00814931	−	0.276947i
$951$	−8.15798	−	5.72040i	−0.264541	−	0.185497i
$952$	5.41445	+	5.09025i	0.175483	+	0.164976i
$953$	24.1777	+	7.85580i	0.783192	+	0.254474i	0.673202	−	0.739458i	$-0.264918\pi$
$953$	24.1777	+	7.85580i	0.783192	+	0.254474i	0.109989	+	0.993933i	$0.464918\pi$
$954$	−14.7737	+	32.4371i	−0.478317	+	1.05019i
$955$	−38.5399	−	2.66245i	−1.24712	−	0.0861549i
$956$	15.7207	−	22.6009i	0.508442	−	0.730967i
$957$	−26.7819	−	18.7796i	−0.865737	−	0.607057i
$958$	−2.87408	+	19.4380i	−0.0928574	+	0.628013i
$959$	73.4552	+	53.3684i	2.37199	+	1.72335i
$960$	−24.8920	+	18.4496i	−0.803386	+	0.595458i
$961$	−7.54229	+	5.47979i	−0.243300	+	0.176767i
$962$	−11.1183	−	21.2772i	−0.358470	−	0.686004i
$963$	5.59994	−	19.4313i	0.180455	−	0.626166i
$964$	−29.0498	−	8.78257i	−0.935632	−	0.282867i
$965$	5.69827	−	3.56733i	0.183434	−	0.114836i
$966$	1.23211	−	9.42360i	0.0396425	−	0.303200i
$967$	−40.2535	+	13.0791i	−1.29446	+	0.420597i	−0.873652	−	0.486551i	$-0.838255\pi$
$967$	−40.2535	+	13.0791i	−1.29446	+	0.420597i	−0.420812	+	0.907148i	$0.638255\pi$
$968$	−1.19097	−	6.26247i	−0.0382793	−	0.201283i
$969$	−1.11163	−	0.340670i	−0.0357106	−	0.0109439i
$970$	−19.7862	−	45.2084i	−0.635295	−	1.45155i
$971$	0.754649	−	2.32257i	0.0242178	−	0.0745349i	−0.938217	−	0.346047i	$-0.887524\pi$
$971$	0.754649	−	2.32257i	0.0242178	−	0.0745349i	0.962435	+	0.271512i	$0.0875237\pi$
$972$	12.6744	+	28.4844i	0.406533	+	0.913636i
$973$	16.6854	−	12.1226i	0.534908	−	0.388634i
$974$	13.8203	−	27.8276i	0.442830	−	0.891654i
$975$	−30.6992	−	14.2775i	−0.983162	−	0.457245i
$976$	−5.87244	+	20.9719i	−0.187972	+	0.671294i
$977$	−1.03356	−	1.42258i	−0.0330667	−	0.0455123i	0.792164	−	0.610309i	$-0.208955\pi$
$977$	−1.03356	−	1.42258i	−0.0330667	−	0.0455123i	−0.825230	+	0.564797i	$0.808955\pi$
$978$	−35.3895	+	6.59164i	−1.13163	+	0.210777i
$979$	−27.8611	−	9.05261i	−0.890443	−	0.289323i
$980$	−42.9788	+	53.5057i	−1.37291	+	1.70918i
$981$	8.84503	−	6.89149i	0.282400	−	0.220028i
$982$	−15.9356	−	7.91423i	−0.508525	−	0.252553i
$983$	−6.68084	−	20.5615i	−0.213086	−	0.655811i	−0.999284	−	0.0378362i	$-0.987954\pi$
$983$	−6.68084	−	20.5615i	−0.213086	−	0.655811i	0.786198	−	0.617974i	$-0.212046\pi$
$984$	−13.7926	+	7.87658i	−0.439693	+	0.251096i
$985$	3.64156	−	0.911192i	0.116030	−	0.0290330i
$986$	4.94930	−	0.836155i	0.157618	−	0.0266286i
$987$	−11.7542	−	34.2108i	−0.374140	−	1.08894i
$988$	−9.44094	+	0.194211i	−0.300356	+	0.00617868i
$989$	4.74332	+	6.52862i	0.150829	+	0.207598i
$990$	−24.6706	−	13.3611i	−0.784083	−	0.424645i
$991$	−19.3390	+	26.6179i	−0.614324	+	0.845545i	−0.996924	−	0.0783692i	$-0.975029\pi$
$991$	−19.3390	+	26.6179i	−0.614324	+	0.845545i	0.382600	+	0.923914i	$0.375029\pi$
$992$	−10.7351	+	24.0506i	−0.340839	+	0.763606i
$993$	1.45397	+	1.01953i	0.0461403	+	0.0323538i
$994$	102.460	+	15.1496i	3.24983	+	0.480516i
$995$	−22.4026	−	35.7847i	−0.710209	−	1.13445i
$996$	0.364796	−	1.28405i	0.0115590	−	0.0406866i
$997$	−3.17520	+	9.77226i	−0.100560	+	0.309490i	−0.988663	−	0.150154i	$-0.952023\pi$
$997$	−3.17520	+	9.77226i	−0.100560	+	0.309490i	0.888103	+	0.459644i	$0.152023\pi$
$998$	2.74983	+	16.2766i	0.0870444	+	0.515226i
$999$	21.7820	+	5.88326i	0.689153	+	0.186138i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	300.2.n.a.11.3	✓	224
3.2	odd	2	inner	300.2.n.a.11.54	yes	224
4.3	odd	2	inner	300.2.n.a.11.37	yes	224
12.11	even	2	inner	300.2.n.a.11.20	yes	224
25.16	even	5	inner	300.2.n.a.191.20	yes	224
75.41	odd	10	inner	300.2.n.a.191.37	yes	224
100.91	odd	10	inner	300.2.n.a.191.54	yes	224
300.191	even	10	inner	300.2.n.a.191.3	yes	224

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
300.2.n.a.11.3	✓	224	1.1	even	1	trivial
300.2.n.a.11.20	yes	224	12.11	even	2	inner
300.2.n.a.11.37	yes	224	4.3	odd	2	inner
300.2.n.a.11.54	yes	224	3.2	odd	2	inner
300.2.n.a.191.3	yes	224	300.191	even	10	inner
300.2.n.a.191.20	yes	224	25.16	even	5	inner
300.2.n.a.191.37	yes	224	75.41	odd	10	inner
300.2.n.a.191.54	yes	224	100.91	odd	10	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	300.n (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.39445 + 0.235585i) q^{2} +(-1.04145 - 1.38397i) q^{3} +(1.88900 - 0.657024i) q^{4} +(1.89530 - 1.18653i) q^{5} +(1.77830 + 1.68454i) q^{6} +4.72716i q^{7} +(-2.47934 + 1.36121i) q^{8} +(-0.830762 + 2.88268i) q^{9} +O(q^{10})\)	\(q+(-1.39445 + 0.235585i) q^{2} +(-1.04145 - 1.38397i) q^{3} +(1.88900 - 0.657024i) q^{4} +(1.89530 - 1.18653i) q^{5} +(1.77830 + 1.68454i) q^{6} +4.72716i q^{7} +(-2.47934 + 1.36121i) q^{8} +(-0.830762 + 2.88268i) q^{9} +(-2.36338 + 2.10106i) q^{10} +(2.39258 - 1.73831i) q^{11} +(-2.87660 - 1.93007i) q^{12} +(3.16282 + 2.29792i) q^{13} +(-1.11365 - 6.59181i) q^{14} +(-3.61598 - 1.38733i) q^{15} +(3.13664 - 2.48223i) q^{16} +(-0.528610 + 0.171756i) q^{17} +(0.479344 - 4.21547i) q^{18} +(-1.14860 + 0.373201i) q^{19} +(2.80064 - 3.48661i) q^{20} +(6.54227 - 4.92311i) q^{21} +(-2.92683 + 2.98765i) q^{22} +(-0.664017 + 0.482436i) q^{23} +(4.46598 + 2.01370i) q^{24} +(2.18430 - 4.49765i) q^{25} +(-4.95175 - 2.45923i) q^{26} +(4.85475 - 1.85241i) q^{27} +(3.10586 + 8.92961i) q^{28} +(6.07319 + 1.97330i) q^{29} +(5.36915 + 1.08270i) q^{30} +(4.42801 - 1.43875i) q^{31} +(-3.78912 + 4.20030i) q^{32} +(-4.89754 - 1.50090i) q^{33} +(0.696659 - 0.364038i) q^{34} +(5.60891 + 8.95938i) q^{35} +(0.324678 + 5.99121i) q^{36} +(3.51289 + 2.55226i) q^{37} +(1.51374 - 0.791004i) q^{38} +(-0.113656 - 6.77042i) q^{39} +(-3.08397 + 5.52170i) q^{40} +(-1.90569 + 2.62296i) q^{41} +(-7.96308 + 8.40630i) q^{42} -9.83201i q^{43} +(3.37748 - 4.85566i) q^{44} +(1.84584 + 6.44925i) q^{45} +(0.812286 - 0.829167i) q^{46} +(1.36526 - 4.20183i) q^{47} +(-6.70200 - 1.75590i) q^{48} -15.3461 q^{49} +(-1.98633 + 6.78634i) q^{50} +(0.788227 + 0.552707i) q^{51} +(7.48435 + 2.26273i) q^{52} +(-7.98997 - 2.59610i) q^{53} +(-6.33332 + 3.72681i) q^{54} +(2.47210 - 6.13349i) q^{55} +(-6.43465 - 11.7202i) q^{56} +(1.71271 + 1.20095i) q^{57} +(-8.93365 - 1.32092i) q^{58} +(-0.804579 - 0.584561i) q^{59} +(-7.74209 - 0.244882i) q^{60} +(-4.40480 + 3.20028i) q^{61} +(-5.83570 + 3.04943i) q^{62} +(-13.6269 - 3.92715i) q^{63} +(4.29422 - 6.74979i) q^{64} +(8.72102 + 0.602474i) q^{65} +(7.18298 + 0.939156i) q^{66} +(-0.581557 + 0.188959i) q^{67} +(-0.885697 + 0.671757i) q^{68} +(1.35922 + 0.416548i) q^{69} +(-9.93206 - 11.1721i) q^{70} +(-4.78758 + 14.7347i) q^{71} +(-1.86419 - 8.27797i) q^{72} +(8.18277 - 5.94513i) q^{73} +(-5.49983 - 2.73143i) q^{74} +(-8.49946 + 1.66106i) q^{75} +(-1.92450 + 1.45963i) q^{76} +(8.21730 + 11.3101i) q^{77} +(1.75350 + 9.41426i) q^{78} +(14.2920 + 4.64377i) q^{79} +(2.99962 - 8.42628i) q^{80} +(-7.61967 - 4.78964i) q^{81} +(2.03947 - 4.10654i) q^{82} +(0.119077 + 0.366481i) q^{83} +(9.12374 - 13.5982i) q^{84} +(-0.798081 + 0.952740i) q^{85} +(2.31627 + 13.7103i) q^{86} +(-3.59393 - 10.4602i) q^{87} +(-3.56582 + 7.56667i) q^{88} +(-5.82238 - 8.01381i) q^{89} +(-4.09328 - 8.55833i) q^{90} +(-10.8626 + 14.9511i) q^{91} +(-0.937355 + 1.34760i) q^{92} +(-6.60273 - 4.62986i) q^{93} +(-0.913902 + 6.18090i) q^{94} +(-1.73412 + 2.07017i) q^{95} +(9.75929 + 0.869632i) q^{96} +(-4.82234 + 14.8416i) q^{97} +(21.3994 - 3.61530i) q^{98} +(3.02333 + 8.34118i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 224 q - 6 q^{4} + q^{6} - 6 q^{9}+O(q^{10}) \) 224 * q - 6 * q^4 + q^6 - 6 * q^9	\( 224 q - 6 q^{4} + q^{6} - 6 q^{9} - 8 q^{10} - 9 q^{12} - 12 q^{13} - 18 q^{16} - 26 q^{18} + 12 q^{21} - 6 q^{22} - 16 q^{24} - 12 q^{25} + 2 q^{28} - 13 q^{30} + 6 q^{33} - 30 q^{34} + 35 q^{36} + 12 q^{37} - 24 q^{40} - 13 q^{42} - 6 q^{45} - 18 q^{46} - 34 q^{48} - 168 q^{49} - 28 q^{52} - 38 q^{54} - 44 q^{57} - 34 q^{58} - 76 q^{60} + 4 q^{61} + 18 q^{64} - 46 q^{66} - 18 q^{69} + 72 q^{70} - 29 q^{72} - 20 q^{73} + 16 q^{76} + 5 q^{78} - 30 q^{81} - 20 q^{82} - 18 q^{84} - 76 q^{85} + 6 q^{88} + 2 q^{90} - 52 q^{93} + 96 q^{94} - 50 q^{96} - 72 q^{97}+O(q^{100}) \) 224 * q - 6 * q^4 + q^6 - 6 * q^9 - 8 * q^10 - 9 * q^12 - 12 * q^13 - 18 * q^16 - 26 * q^18 + 12 * q^21 - 6 * q^22 - 16 * q^24 - 12 * q^25 + 2 * q^28 - 13 * q^30 + 6 * q^33 - 30 * q^34 + 35 * q^36 + 12 * q^37 - 24 * q^40 - 13 * q^42 - 6 * q^45 - 18 * q^46 - 34 * q^48 - 168 * q^49 - 28 * q^52 - 38 * q^54 - 44 * q^57 - 34 * q^58 - 76 * q^60 + 4 * q^61 + 18 * q^64 - 46 * q^66 - 18 * q^69 + 72 * q^70 - 29 * q^72 - 20 * q^73 + 16 * q^76 + 5 * q^78 - 30 * q^81 - 20 * q^82 - 18 * q^84 - 76 * q^85 + 6 * q^88 + 2 * q^90 - 52 * q^93 + 96 * q^94 - 50 * q^96 - 72 * q^97

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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