LMFDB - Embedded newform 300.2.n.a.191.35

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			191.35
Character	$\chi$	$=$	300.191
Dual form			300.2.n.a.11.35

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.572322 + 1.29323i) q^{2} +(1.60959 + 0.639710i) q^{3} +(-1.34489 + 1.48029i) q^{4} +(2.17904 - 0.501802i) q^{5} +(0.0939092 + 2.44769i) q^{6} -2.67645i q^{7} +(-2.68407 - 0.892058i) q^{8} +(2.18154 + 2.05934i) q^{9} +O(q^{10})$	\(q+(0.572322 + 1.29323i) q^{2} +(1.60959 + 0.639710i) q^{3} +(-1.34489 + 1.48029i) q^{4} +(2.17904 - 0.501802i) q^{5} +(0.0939092 + 2.44769i) q^{6} -2.67645i q^{7} +(-2.68407 - 0.892058i) q^{8} +(2.18154 + 2.05934i) q^{9} +(1.89606 + 2.53080i) q^{10} +(1.85172 + 1.34535i) q^{11} +(-3.11168 + 1.52231i) q^{12} +(-2.84737 + 2.06874i) q^{13} +(3.46126 - 1.53179i) q^{14} +(3.82836 + 0.586257i) q^{15} +(-0.382516 - 3.98167i) q^{16} +(1.64171 + 0.533423i) q^{17} +(-1.41466 + 3.99984i) q^{18} +(-6.93479 - 2.25325i) q^{19} +(-2.18776 + 3.90047i) q^{20} +(1.71215 - 4.30797i) q^{21} +(-0.680074 + 3.16468i) q^{22} +(-6.63409 - 4.81995i) q^{23} +(-3.74959 - 3.15287i) q^{24} +(4.49639 - 2.18689i) q^{25} +(-4.30497 - 2.49833i) q^{26} +(2.19400 + 4.71024i) q^{27} +(3.96192 + 3.59954i) q^{28} +(-5.87446 + 1.90873i) q^{29} +(1.43289 + 5.28648i) q^{30} +(-1.24970 - 0.406051i) q^{31} +(4.93030 - 2.77348i) q^{32} +(2.11987 + 3.35003i) q^{33} +(0.249746 + 2.42840i) q^{34} +(-1.34305 - 5.83207i) q^{35} +(-5.98236 + 0.459721i) q^{36} +(7.58270 - 5.50915i) q^{37} +(-1.05496 - 10.2579i) q^{38} +(-5.90649 + 1.50832i) q^{39} +(-6.29632 - 0.596954i) q^{40} +(4.57985 + 6.30362i) q^{41} +(6.55111 - 0.251343i) q^{42} -2.46655i q^{43} +(-4.48189 + 0.931724i) q^{44} +(5.78704 + 3.39267i) q^{45} +(2.43647 - 11.3380i) q^{46} +(1.80384 + 5.55165i) q^{47} +(1.93142 - 6.65354i) q^{48} -0.163362 q^{49} +(5.40153 + 4.56327i) q^{50} +(2.30123 + 1.90881i) q^{51} +(0.767086 - 6.99717i) q^{52} +(-0.712445 + 0.231487i) q^{53} +(-4.83575 + 5.53313i) q^{54} +(4.71007 + 2.00238i) q^{55} +(-2.38754 + 7.18377i) q^{56} +(-9.72073 - 8.06306i) q^{57} +(-5.83051 - 6.50463i) q^{58} +(0.338315 - 0.245801i) q^{59} +(-6.01657 + 4.87862i) q^{60} +(-6.39074 - 4.64315i) q^{61} +(-0.190111 - 1.84854i) q^{62} +(5.51171 - 5.83878i) q^{63} +(6.40847 + 4.78869i) q^{64} +(-5.16643 + 5.93667i) q^{65} +(-3.11912 + 4.65878i) q^{66} +(-0.682543 - 0.221772i) q^{67} +(-2.99754 + 1.71280i) q^{68} +(-7.59478 - 12.0020i) q^{69} +(6.77356 - 5.07469i) q^{70} +(0.00682784 + 0.0210139i) q^{71} +(-4.01836 - 7.47347i) q^{72} +(4.67607 + 3.39736i) q^{73} +(11.4644 + 6.65317i) q^{74} +(8.63631 - 0.643600i) q^{75} +(12.6620 - 7.23512i) q^{76} +(3.60077 - 4.95603i) q^{77} +(-5.33102 - 6.77521i) q^{78} +(9.80854 - 3.18699i) q^{79} +(-2.83152 - 8.48425i) q^{80} +(0.518252 + 8.98507i) q^{81} +(-5.53089 + 9.53050i) q^{82} +(0.850203 - 2.61666i) q^{83} +(4.07439 + 8.32825i) q^{84} +(3.84501 + 0.338536i) q^{85} +(3.18982 - 1.41166i) q^{86} +(-10.6765 - 0.685687i) q^{87} +(-3.77002 - 5.26287i) q^{88} +(-6.76353 + 9.30919i) q^{89} +(-1.07546 + 9.42568i) q^{90} +(5.53687 + 7.62084i) q^{91} +(16.0571 - 3.33805i) q^{92} +(-1.75174 - 1.45302i) q^{93} +(-6.14719 + 5.51012i) q^{94} +(-16.2418 - 1.43002i) q^{95} +(9.70996 - 1.31020i) q^{96} +(-2.56496 - 7.89413i) q^{97} +(-0.0934956 - 0.211265i) q^{98} +(1.26907 + 6.74827i) 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 $\left(\mathbb{Z}/300\mathbb{Z}\right)^\times$.

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

Coefficient data

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

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

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

$2$	0.572322	+	1.29323i	0.404693	+	0.914453i
$2$	0.572322	+	1.29323i	0.404693	+	0.914453i
$3$	1.60959	+	0.639710i	0.929296	+	0.369337i
$3$	1.60959	+	0.639710i	0.929296	+	0.369337i
$4$	−1.34489	+	1.48029i	−0.672447	+	0.740145i
$5$	2.17904	−	0.501802i	0.974494	−	0.224413i
$5$	2.17904	−	0.501802i	0.974494	−	0.224413i
$6$	0.0939092	+	2.44769i	0.0383383	+	0.999265i
$7$		−	2.67645i		−	1.01160i	−0.862650	−	0.505801i	$-0.831197\pi$
$7$		−	2.67645i		−	1.01160i	0.862650	−	0.505801i	$-0.168803\pi$
$8$	−2.68407	−	0.892058i	−0.948962	−	0.315390i
$9$	2.18154	+	2.05934i	0.727181	+	0.686446i
$10$	1.89606	+	2.53080i	0.599586	+	0.800311i
$11$	1.85172	+	1.34535i	0.558315	+	0.405640i	0.830842	−	0.556509i	$-0.187859\pi$
$11$	1.85172	+	1.34535i	0.558315	+	0.405640i	−0.272527	+	0.962148i	$0.587859\pi$
$12$	−3.11168	+	1.52231i	−0.898265	+	0.439454i
$13$	−2.84737	+	2.06874i	−0.789719	+	0.573765i	−0.907880	−	0.419230i	$-0.862300\pi$
$13$	−2.84737	+	2.06874i	−0.789719	+	0.573765i	0.118161	+	0.992994i	$0.462300\pi$
$14$	3.46126	−	1.53179i	0.925062	−	0.409388i
$15$	3.82836	+	0.586257i	0.988477	+	0.151371i
$16$	−0.382516	−	3.98167i	−0.0956290	−	0.995417i
$17$	1.64171	+	0.533423i	0.398172	+	0.129374i	0.501257	−	0.865299i	$-0.332871\pi$
$17$	1.64171	+	0.533423i	0.398172	+	0.129374i	−0.103084	+	0.994673i	$0.532871\pi$
$18$	−1.41466	+	3.99984i	−0.333438	+	0.942772i
$19$	−6.93479	−	2.25325i	−1.59095	−	0.516931i	−0.626103	−	0.779740i	$-0.715351\pi$
$19$	−6.93479	−	2.25325i	−1.59095	−	0.516931i	−0.964848	+	0.262809i	$0.915351\pi$
$20$	−2.18776	+	3.90047i	−0.489198	+	0.872173i
$21$	1.71215	−	4.30797i	0.373622	−	0.940077i
$22$	−0.680074	+	3.16468i	−0.144992	+	0.674712i
$23$	−6.63409	−	4.81995i	−1.38330	−	1.00503i	−0.996563	−	0.0828400i	$-0.973601\pi$
$23$	−6.63409	−	4.81995i	−1.38330	−	1.00503i	−0.386740	−	0.922189i	$-0.626399\pi$
$24$	−3.74959	−	3.15287i	−0.765381	−	0.643577i
$25$	4.49639	−	2.18689i	0.899278	−	0.437377i
$26$	−4.30497	−	2.49833i	−0.844275	−	0.489963i
$27$	2.19400	+	4.71024i	0.422236	+	0.906486i
$28$	3.96192	+	3.59954i	0.748732	+	0.680249i
$29$	−5.87446	+	1.90873i	−1.09086	+	0.354442i	−0.798579	−	0.601891i	$-0.794414\pi$
$29$	−5.87446	+	1.90873i	−1.09086	+	0.354442i	−0.292281	+	0.956332i	$0.594414\pi$
$30$	1.43289	+	5.28648i	0.261608	+	0.965174i
$31$	−1.24970	−	0.406051i	−0.224452	−	0.0729288i	0.194632	−	0.980876i	$-0.437649\pi$
$31$	−1.24970	−	0.406051i	−0.224452	−	0.0729288i	−0.419084	+	0.907947i	$0.637649\pi$
$32$	4.93030	−	2.77348i	0.871561	−	0.490286i
$33$	2.11987	+	3.35003i	0.369022	+	0.583166i
$34$	0.249746	+	2.42840i	0.0428311	+	0.416467i
$35$	−1.34305	−	5.83207i	−0.227016	−	0.985800i
$36$	−5.98236	+	0.459721i	−0.997060	+	0.0766202i
$37$	7.58270	−	5.50915i	1.24659	−	0.905699i	0.248569	−	0.968614i	$-0.420040\pi$
$37$	7.58270	−	5.50915i	1.24659	−	0.905699i	0.998019	+	0.0629150i	$0.0200397\pi$
$38$	−1.05496	−	10.2579i	−0.171137	−	1.66405i
$39$	−5.90649	+	1.50832i	−0.945795	+	0.241525i
$40$	−6.29632	−	0.596954i	−0.995536	−	0.0943867i
$41$	4.57985	+	6.30362i	0.715252	+	0.984460i	0.999668	+	0.0257592i	$0.00820030\pi$
$41$	4.57985	+	6.30362i	0.715252	+	0.984460i	−0.284416	+	0.958701i	$0.591800\pi$
$42$	6.55111	−	0.251343i	1.01086	−	0.0387831i
$43$		−	2.46655i		−	0.376145i	−0.982155	−	0.188073i	$-0.939776\pi$
$43$		−	2.46655i		−	0.376145i	0.982155	−	0.188073i	$-0.0602240\pi$
$44$	−4.48189	+	0.931724i	−0.675670	+	0.140463i
$45$	5.78704	+	3.39267i	0.862681	+	0.505749i
$46$	2.43647	−	11.3380i	0.359238	−	1.67169i
$47$	1.80384	+	5.55165i	0.263117	+	0.809792i	0.992121	+	0.125282i	$0.0399836\pi$
$47$	1.80384	+	5.55165i	0.263117	+	0.809792i	−0.729004	+	0.684510i	$0.760016\pi$
$48$	1.93142	−	6.65354i	0.278777	−	0.960356i
$49$	−0.163362			−0.0233374
$50$	5.40153	+	4.56327i	0.763892	+	0.645344i
$51$	2.30123	+	1.90881i	0.322237	+	0.267286i
$52$	0.767086	−	6.99717i	0.106376	−	0.970334i
$53$	−0.712445	+	0.231487i	−0.0978618	+	0.0317972i	−0.357539	−	0.933898i	$-0.616384\pi$
$53$	−0.712445	+	0.231487i	−0.0978618	+	0.0317972i	0.259677	+	0.965696i	$0.416384\pi$
$54$	−4.83575	+	5.53313i	−0.658063	+	0.752963i
$55$	4.71007	+	2.00238i	0.635106	+	0.270001i
$56$	−2.38754	+	7.18377i	−0.319049	+	0.959971i
$57$	−9.72073	−	8.06306i	−1.28754	−	1.06798i
$58$	−5.83051	−	6.50463i	−0.765584	−	0.854100i
$59$	0.338315	−	0.245801i	0.0440449	−	0.0320005i	−0.565545	−	0.824717i	$-0.691334\pi$
$59$	0.338315	−	0.245801i	0.0440449	−	0.0320005i	0.609590	+	0.792717i	$0.291334\pi$
$60$	−6.01657	+	4.87862i	−0.776735	+	0.629827i
$61$	−6.39074	−	4.64315i	−0.818251	−	0.594494i	0.0979601	−	0.995190i	$-0.468768\pi$
$61$	−6.39074	−	4.64315i	−0.818251	−	0.594494i	−0.916211	+	0.400696i	$0.868768\pi$
$62$	−0.190111	−	1.84854i	−0.0241441	−	0.234764i
$63$	5.51171	−	5.83878i	0.694410	−	0.735617i
$64$	6.40847	+	4.78869i	0.801058	+	0.598586i
$65$	−5.16643	+	5.93667i	−0.640817	+	0.736353i
$66$	−3.11912	+	4.65878i	−0.383937	+	0.573456i
$67$	−0.682543	−	0.221772i	−0.0833859	−	0.0270937i	0.267027	−	0.963689i	$-0.413959\pi$
$67$	−0.682543	−	0.221772i	−0.0833859	−	0.0270937i	−0.350413	+	0.936595i	$0.613959\pi$
$68$	−2.99754	+	1.71280i	−0.363506	+	0.207708i
$69$	−7.59478	−	12.0020i	−0.914304	−	1.44487i
$70$	6.77356	−	5.07469i	0.809595	−	0.606542i
$71$	0.00682784	+	0.0210139i	0.000810315	+	0.00249389i	0.951461	−	0.307770i	$-0.0995827\pi$
$71$	0.00682784	+	0.0210139i	0.000810315	+	0.00249389i	−0.950651	+	0.310264i	$0.899583\pi$
$72$	−4.01836	−	7.47347i	−0.473569	−	0.880757i
$73$	4.67607	+	3.39736i	0.547292	+	0.397631i	0.826786	−	0.562516i	$-0.190167\pi$
$73$	4.67607	+	3.39736i	0.547292	+	0.397631i	−0.279494	+	0.960147i	$0.590167\pi$
$74$	11.4644	+	6.65317i	1.33270	+	0.773416i
$75$	8.63631	−	0.643600i	0.997235	−	0.0743165i
$76$	12.6620	−	7.23512i	1.45243	−	0.829925i
$77$	3.60077	−	4.95603i	0.410346	−	0.564792i
$78$	−5.33102	−	6.77521i	−0.603619	−	0.767142i
$79$	9.80854	−	3.18699i	1.10355	−	0.358564i	0.300080	−	0.953914i	$-0.402987\pi$
$79$	9.80854	−	3.18699i	1.10355	−	0.358564i	0.803466	+	0.595350i	$0.202987\pi$
$80$	−2.83152	−	8.48425i	−0.316574	−	0.948568i
$81$	0.518252	+	8.98507i	0.0575835	+	0.998341i
$82$	−5.53089	+	9.53050i	−0.610785	+	1.05247i
$83$	0.850203	−	2.61666i	0.0933219	−	0.287215i	−0.893491	−	0.449081i	$-0.851751\pi$
$83$	0.850203	−	2.61666i	0.0933219	−	0.287215i	0.986813	+	0.161866i	$0.0517513\pi$
$84$	4.07439	+	8.32825i	0.444552	+	0.908686i
$85$	3.84501	+	0.338536i	0.417050	+	0.0367194i
$86$	3.18982	−	1.41166i	0.343967	−	0.152223i
$87$	−10.6765	−	0.685687i	−1.14464	−	0.0735134i
$88$	−3.77002	−	5.26287i	−0.401885	−	0.561024i
$89$	−6.76353	+	9.30919i	−0.716932	+	0.986773i	0.282688	+	0.959212i	$0.408774\pi$
$89$	−6.76353	+	9.30919i	−0.716932	+	0.986773i	−0.999620	+	0.0275606i	$0.991226\pi$
$90$	−1.07546	+	9.42568i	−0.113363	+	0.993554i
$91$	5.53687	+	7.62084i	0.580421	+	0.798881i
$92$	16.0571	−	3.33805i	1.67407	−	0.348016i
$93$	−1.75174	−	1.45302i	−0.181647	−	0.150671i
$94$	−6.14719	+	5.51012i	−0.634035	+	0.568325i
$95$	−16.2418	−	1.43002i	−1.66638	−	0.146717i
$96$	9.70996	−	1.31020i	0.991019	−	0.133721i
$97$	−2.56496	−	7.89413i	−0.260432	−	0.801528i	−0.992711	−	0.120522i	$-0.961543\pi$
$97$	−2.56496	−	7.89413i	−0.260432	−	0.801528i	0.732278	−	0.681005i	$-0.238457\pi$
$98$	−0.0934956	−	0.211265i	−0.00944448	−	0.0213410i
$99$	1.26907	+	6.74827i	0.127546	+	0.678227i
$100$	−2.80994	+	9.59709i	−0.280994	+	0.959709i
$101$		−	8.19206i		−	0.815140i	−0.913174	−	0.407570i	$-0.866376\pi$
$101$		−	8.19206i		−	0.815140i	0.913174	−	0.407570i	$-0.133624\pi$
$102$	−1.15148	+	4.06848i	−0.114014	+	0.402840i
$103$	11.5728	−	3.76024i	1.14030	−	0.370507i	0.322821	−	0.946460i	$-0.395369\pi$
$103$	11.5728	−	3.76024i	1.14030	−	0.370507i	0.817483	+	0.575953i	$0.195369\pi$
$104$	9.48799	−	3.01262i	0.930374	−	0.295411i
$105$	1.56909	−	10.2464i	0.153127	−	0.999945i
$106$	−0.707115	−	0.788871i	−0.0686810	−	0.0766219i
$107$	−4.43749			−0.428988			−0.214494	−	0.976725i	$-0.568810\pi$
$107$	−4.43749			−0.428988			−0.214494	+	0.976725i	$0.568810\pi$
$108$	−9.92322	−	3.08702i	−0.954862	−	0.297048i
$109$	−12.5441	+	9.11380i	−1.20150	+	0.872944i	−0.994432	−	0.105381i	$-0.966394\pi$
$109$	−12.5441	+	9.11380i	−1.20150	+	0.872944i	−0.207073	+	0.978326i	$0.566394\pi$
$110$	0.106138	+	7.23721i	0.0101199	+	0.690041i
$111$	15.7293	−	4.01673i	1.49296	−	0.381252i
$112$	−10.6567	+	1.02378i	−1.00697	+	0.0967384i
$113$	0.190962	+	0.262836i	0.0179642	+	0.0247256i	0.817905	−	0.575354i	$-0.195136\pi$
$113$	0.190962	+	0.262836i	0.0179642	+	0.0247256i	−0.799940	+	0.600079i	$0.795136\pi$
$114$	4.86402	−	17.1858i	0.455557	−	1.60960i
$115$	−16.8746	−	7.17384i	−1.57356	−	0.668964i
$116$	5.07506	−	11.2629i	0.471208	−	1.04574i
$117$	−10.4719	−	1.35067i	−0.968127	−	0.124869i
$118$	0.511502	+	0.296843i	0.0470876	+	0.0273266i
$119$	1.42768	−	4.39394i	0.130875	−	0.402792i
$120$	−9.75260	−	4.98867i	−0.890286	−	0.455401i
$121$	−1.78029	−	5.47918i	−0.161845	−	0.498107i
$122$	2.34710	−	10.9221i	0.212496	−	0.988839i
$123$	3.33918	+	13.0760i	0.301083	+	1.17902i
$124$	2.28178	−	1.30382i	0.204910	−	0.117086i
$125$	8.70041	−	7.02160i	0.778188	−	0.628031i
$126$	10.7054	+	3.78625i	0.953710	+	0.337306i
$127$	−2.42299	+	3.33497i	−0.215006	+	0.295930i	−0.902874	−	0.429906i	$-0.858547\pi$
$127$	−2.42299	+	3.33497i	−0.215006	+	0.295930i	0.687868	+	0.725836i	$0.258547\pi$
$128$	−2.52518	+	11.0283i	−0.223196	+	0.974774i
$129$	1.57788	−	3.97012i	0.138924	−	0.349550i
$130$	−10.6344	−	3.28370i	−0.932694	−	0.288000i
$131$	−4.03029	+	12.4040i	−0.352128	+	1.08374i	0.605528	+	0.795824i	$0.292962\pi$
$131$	−4.03029	+	12.4040i	−0.352128	+	1.08374i	−0.957656	+	0.287914i	$0.907038\pi$
$132$	−7.81002	−	1.36742i	−0.679775	−	0.119018i
$133$	−6.03070	+	18.5606i	−0.522928	+	1.60941i
$134$	−0.103832	−	1.00961i	−0.00896975	−	0.0872171i
$135$	7.14442	+	9.16282i	0.614893	+	0.788610i
$136$	−3.93061	−	2.89624i	−0.337047	−	0.248351i
$137$	−4.84704	−	6.67138i	−0.414111	−	0.569975i	0.550104	−	0.835096i	$-0.314588\pi$
$137$	−4.84704	−	6.67138i	−0.414111	−	0.569975i	−0.964215	+	0.265121i	$0.914588\pi$
$138$	11.1747	−	16.6908i	0.951256	−	1.42082i
$139$	−6.80822	+	9.37071i	−0.577466	+	0.794814i	−0.993415	−	0.114574i	$-0.963450\pi$
$139$	−6.80822	+	9.37071i	−0.577466	+	0.794814i	0.415949	+	0.909388i	$0.363450\pi$
$140$	10.4394	+	5.85542i	0.882291	+	0.494874i
$141$	−0.648008	+	10.0898i	−0.0545721	+	0.849715i
$142$	−0.0232681	+	0.0208567i	−0.00195262	+	0.00175026i
$143$	−8.05573			−0.673654
$144$	7.36513	−	9.47391i	0.613761	−	0.789492i
$145$	−11.8429	+	7.10700i	−0.983495	+	0.590204i
$146$	−1.71736	+	7.99162i	−0.142130	+	0.661391i
$147$	−0.262945	−	0.104504i	−0.0216874	−	0.00861936i
$148$	−2.04279	+	18.6338i	−0.167916	+	1.53169i
$149$			10.1521i			0.831693i	0.909435	+	0.415847i	$0.136515\pi$
$149$			10.1521i			0.831693i	−0.909435	+	0.415847i	$0.863485\pi$
$150$	5.77507	+	10.8004i	0.471533	+	0.881849i
$151$			16.1010i			1.31028i	0.755508	+	0.655140i	$0.227390\pi$
$151$			16.1010i			1.31028i	−0.755508	+	0.655140i	$0.772610\pi$
$152$	16.6034	+	12.2341i	1.34672	+	0.992318i
$153$	2.48295	+	4.54451i	0.200735	+	0.367402i
$154$	8.47010	+	1.82018i	0.682540	+	0.146674i
$155$	−2.92689	−	0.257699i	−0.235093	−	0.0206989i
$156$	5.71086	−	10.7718i	0.457234	−	0.862438i
$157$	16.9235			1.35064			0.675322	−	0.737523i	$-0.264005\pi$
$157$	16.9235			1.35064			0.675322	+	0.737523i	$0.264005\pi$
$158$	9.73515	+	10.8607i	0.774487	+	0.864033i
$159$	−1.29483	−	0.0831590i	−0.102686	−	0.00659494i
$160$	9.35155	−	8.51754i	0.739305	−	0.673371i
$161$	−12.9003	+	17.7558i	−1.01669	+	1.39935i
$162$	−11.3232	+	5.81257i	−0.889632	+	0.456679i
$163$	2.73834	+	3.76900i	0.214483	+	0.295211i	0.902679	−	0.430314i	$-0.141597\pi$
$163$	2.73834	+	3.76900i	0.214483	+	0.295211i	−0.688196	+	0.725525i	$0.741597\pi$
$164$	−15.4906	−	1.69820i	−1.20961	−	0.132607i
$165$	6.30032	+	6.23608i	0.490480	+	0.485478i
$166$	3.87053	−	0.398061i	0.300412	−	0.0308955i
$167$	4.13795	−	12.7353i	0.320205	−	0.985488i	−0.653354	−	0.757052i	$-0.726639\pi$
$167$	4.13795	−	12.7353i	0.320205	−	0.985488i	0.973559	−	0.228436i	$-0.0733612\pi$
$168$	−8.43849	+	10.0356i	−0.651044	+	0.774261i
$169$	−0.189360	+	0.582791i	−0.0145662	+	0.0448300i
$170$	1.76278	+	5.16624i	0.135199	+	0.396232i
$171$	−10.4883	−	19.1966i	−0.802063	−	1.46800i
$172$	3.65121	+	3.31725i	0.278402	+	0.252938i
$173$	9.79725	−	13.4848i	0.744871	−	1.02523i	−0.253453	−	0.967348i	$-0.581566\pi$
$173$	9.79725	−	13.4848i	0.744871	−	1.02523i	0.998324	−	0.0578791i	$-0.0184338\pi$
$174$	−5.22364	−	14.1996i	−0.396003	−	1.07647i
$175$	−5.85309	−	12.0343i	−0.442452	−	0.909711i
$176$	4.64844	−	7.88756i	0.350390	−	0.594547i
$177$	0.701789	−	0.179214i	0.0527497	−	0.0134705i
$178$	−15.9099	−	3.41895i	−1.19249	−	0.256261i
$179$	6.55445	+	20.1725i	0.489903	+	1.50777i	0.824752	+	0.565494i	$0.191315\pi$
$179$	6.55445	+	20.1725i	0.489903	+	1.50777i	−0.334849	+	0.942272i	$0.608685\pi$
$180$	−12.8051	+	4.00371i	−0.954435	+	0.298419i
$181$	−5.48943	+	16.8947i	−0.408026	+	1.25578i	0.510315	+	0.859987i	$0.329529\pi$
$181$	−5.48943	+	16.8947i	−0.408026	+	1.25578i	−0.918342	+	0.395788i	$0.870471\pi$
$182$	−6.68664	+	11.5220i	−0.495647	+	0.854069i
$183$	−7.31619	−	11.5618i	−0.540828	−	0.854671i
$184$	13.5067	+	18.8551i	0.995726	+	1.39001i
$185$	13.7585	−	15.8097i	1.01154	−	1.16235i
$186$	0.876528	−	3.09700i	0.0642701	−	0.227083i
$187$	2.32234	+	3.19643i	0.169826	+	0.233746i
$188$	−10.6440	−	4.79618i	−0.776296	−	0.349797i
$189$	12.6067	−	5.87213i	0.917002	−	0.427135i
$190$	−7.44622	−	21.8229i	−0.540205	−	1.58320i
$191$	5.41887	−	3.93704i	0.392096	−	0.284874i	−0.374218	−	0.927341i	$-0.622089\pi$
$191$	5.41887	−	3.93704i	0.392096	−	0.284874i	0.766314	+	0.642466i	$0.222089\pi$
$192$	7.25161	+	11.8074i	0.523340	+	0.852124i
$193$	−5.36336			−0.386063			−0.193032	−	0.981193i	$-0.561832\pi$
$193$	−5.36336			−0.386063			−0.193032	+	0.981193i	$0.561832\pi$
$194$	8.74096	−	7.83507i	0.627564	−	0.562525i
$195$	−12.1136	+	6.25057i	−0.867471	+	0.447613i
$196$	0.219705	−	0.241823i	0.0156932	−	0.0172731i
$197$	−16.5630	+	5.38164i	−1.18006	+	0.383426i	−0.832391	−	0.554189i	$-0.813028\pi$
$197$	−16.5630	+	5.38164i	−1.18006	+	0.383426i	−0.347674	+	0.937616i	$0.613028\pi$
$198$	−8.00076	+	5.50338i	−0.568589	+	0.391108i
$199$		−	0.552935i		−	0.0391965i	−0.999808	−	0.0195983i	$-0.993761\pi$
$199$		−	0.552935i		−	0.0391965i	0.999808	−	0.0195983i	$-0.00623872\pi$
$200$	−14.0195	+	1.85872i	−0.991325	+	0.131431i
$201$	−0.956742	−	0.793590i	−0.0674834	−	0.0559755i
$202$	10.5942	−	4.68850i	0.745407	−	0.329882i
$203$	5.10861	+	15.7227i	0.358554	+	1.10352i
$204$	−5.92051	+	0.839349i	−0.414518	+	0.0587662i
$205$	13.1428	+	11.4376i	0.917934	+	0.798839i
$206$	11.4862	+	12.8143i	0.800284	+	0.892812i
$207$	−4.54664	−	24.1768i	−0.316013	−	1.68040i
$208$	9.32620	+	10.5460i	0.646655	+	0.731232i
$209$	−9.80989	−	13.5022i	−0.678564	−	0.933963i
$210$	14.1490	−	3.83504i	0.976372	−	0.264643i
$211$	−6.21102	+	8.54873i	−0.427584	+	0.588519i	−0.967397	−	0.253266i	$-0.918495\pi$
$211$	−6.21102	+	8.54873i	−0.427584	+	0.588519i	0.539813	+	0.841785i	$0.318495\pi$
$212$	0.615495	−	1.36595i	0.0422724	−	0.0938139i
$213$	−0.00245282	+	0.0381916i	−0.000168064	+	0.00261684i
$214$	−2.53967	−	5.73870i	−0.173609	−	0.392290i
$215$	−1.23772	−	5.37470i	−0.0844117	−	0.366551i
$216$	−1.68705	−	14.5998i	−0.114789	−	0.993390i
$217$	−1.08677	+	3.34474i	−0.0737749	+	0.227056i
$218$	−18.9655	−	11.0064i	−1.28451	−	0.745445i
$219$	5.35321	+	8.45968i	0.361736	+	0.571652i
$220$	−9.29865	+	4.27928i	−0.626915	+	0.288509i
$221$	−5.77807	+	1.87741i	−0.388675	+	0.126288i
$222$	14.1968	+	18.0427i	0.952825	+	1.21095i
$223$	−0.202024	+	0.278062i	−0.0135285	+	0.0186204i	−0.815728	−	0.578436i	$-0.803663\pi$
$223$	−0.202024	+	0.278062i	−0.0135285	+	0.0186204i	0.802199	+	0.597057i	$0.203663\pi$
$224$	−7.42306	−	13.1957i	−0.495974	−	0.881673i
$225$	14.3126	+	4.48880i	0.954174	+	0.299253i
$226$	−0.230617	+	0.397385i	−0.0153404	+	0.0264337i
$227$	−10.2571	−	7.45219i	−0.680785	−	0.494619i	0.192833	−	0.981232i	$-0.438232\pi$
$227$	−10.2571	−	7.45219i	−0.680785	−	0.494619i	−0.873618	+	0.486613i	$0.838232\pi$
$228$	25.0090	−	3.54553i	1.65626	−	0.234808i
$229$	−8.64338	−	26.6016i	−0.571170	−	1.75788i	−0.648864	−	0.760904i	$-0.724756\pi$
$229$	−8.64338	−	26.6016i	−0.571170	−	1.75788i	0.0776936	−	0.996977i	$-0.475244\pi$
$230$	−0.380257	−	25.9285i	−0.0250734	−	1.70967i
$231$	8.96618	−	5.67372i	0.589931	−	0.373303i
$232$	17.4702	+	0.117197i	1.14697	+	0.00769437i
$233$	2.61219	+	0.848752i	0.171130	+	0.0556036i	0.393329	−	0.919398i	$-0.371323\pi$
$233$	2.61219	+	0.848752i	0.171130	+	0.0556036i	−0.222199	+	0.975001i	$0.571323\pi$
$234$	−4.24657	−	14.3156i	−0.277607	−	0.935840i
$235$	6.71646	+	11.1921i	0.438134	+	0.730091i
$236$	−0.0911426	+	0.831381i	−0.00593288	+	0.0541183i
$237$	17.8264	+	1.14489i	1.15795	+	0.0743683i
$238$	6.49947	−	0.668431i	0.421298	−	0.0433280i
$239$	0.809300	+	0.587991i	0.0523493	+	0.0380340i	0.613652	−	0.789576i	$-0.289700\pi$
$239$	0.809300	+	0.587991i	0.0523493	+	0.0380340i	−0.561303	+	0.827610i	$0.689700\pi$
$240$	0.869875	−	15.4675i	0.0561502	−	0.998422i
$241$	12.5703	−	9.13283i	0.809721	−	0.588297i	−0.104028	−	0.994574i	$-0.533173\pi$
$241$	12.5703	−	9.13283i	0.809721	−	0.588297i	0.913750	+	0.406277i	$0.133173\pi$
$242$	6.06694	−	5.43818i	0.389998	−	0.349580i
$243$	−4.91367	+	14.7938i	−0.315212	+	0.949021i
$244$	15.4681	−	3.21561i	0.990242	−	0.205858i
$245$	−0.355971	+	0.0819753i	−0.0227422	+	0.00523721i
$246$	−14.9992	+	11.8020i	−0.956315	+	0.752469i
$247$	24.4073	−	7.93042i	1.55300	−	0.504601i
$248$	2.99205	+	2.20467i	0.189995	+	0.139997i
$249$	3.04238	−	3.66785i	0.192803	−	0.232441i
$250$	14.0600	+	7.23302i	0.889232	+	0.457457i
$251$	2.21050			0.139526			0.0697629	−	0.997564i	$-0.477776\pi$
$251$	2.21050			0.139526			0.0697629	+	0.997564i	$0.477776\pi$
$252$	1.23042	+	16.0115i	0.0775091	+	1.00863i
$253$	−5.79995	−	17.8504i	−0.364640	−	1.12225i
$254$	−5.69961	−	1.22482i	−0.357626	−	0.0768519i
$255$	5.97231	+	3.00459i	0.374001	+	0.188155i
$256$	−15.7074	+	3.04610i	−0.981710	+	0.190381i
$257$			12.9252i			0.806255i	0.915144	+	0.403127i	$0.132077\pi$
$257$			12.9252i			0.806255i	−0.915144	+	0.403127i	$0.867923\pi$
$258$	6.03734	−	0.231632i	0.375869	−	0.0144208i
$259$	−14.7449	−	20.2947i	−0.916207	−	1.26105i
$260$	−1.83969	−	15.6320i	−0.114092	−	0.969456i
$261$	−16.7461	−	7.93353i	−1.03656	−	0.491073i
$262$	−18.3478	+	1.88696i	−1.13353	+	0.116577i
$263$	11.9011	−	8.64663i	0.733851	−	0.533174i	−0.156928	−	0.987610i	$-0.550159\pi$
$263$	11.9011	−	8.64663i	0.733851	−	0.533174i	0.890779	+	0.454436i	$0.150159\pi$
$264$	−2.70146	−	10.8828i	−0.166264	−	0.669788i
$265$	−1.43628	+	0.861925i	−0.0882301	+	0.0529476i
$266$	−27.4547	+	2.82354i	−1.68335	+	0.173123i
$267$	−16.8417	+	10.6573i	−1.03069	+	0.652214i
$268$	1.24623	−	0.712102i	0.0761259	−	0.0434985i
$269$	16.6765	+	5.41853i	1.01679	+	0.330373i	0.769553	−	0.638583i	$-0.220479\pi$
$269$	16.6765	+	5.41853i	1.01679	+	0.330373i	0.247232	+	0.968956i	$0.420479\pi$
$270$	−7.76074	+	14.4835i	−0.472304	+	0.881436i
$271$	3.38630	−	1.10028i	0.205703	−	0.0668370i	−0.204353	−	0.978897i	$-0.565509\pi$
$271$	3.38630	−	1.10028i	0.205703	−	0.0668370i	0.410056	+	0.912060i	$0.365509\pi$
$272$	1.49593	−	6.74077i	0.0907043	−	0.408719i
$273$	4.03694	+	15.8084i	0.244327	+	0.956768i
$274$	5.85357	−	10.0865i	0.353627	−	0.609349i
$275$	11.2682	+	1.99973i	0.679498	+	0.120588i
$276$	27.9806	+	4.89898i	1.68424	+	0.294884i
$277$	−13.9525	−	10.1371i	−0.838324	−	0.609078i	0.0835780	−	0.996501i	$-0.473365\pi$
$277$	−13.9525	−	10.1371i	−0.838324	−	0.609078i	−0.921902	+	0.387423i	$0.873365\pi$
$278$	−16.0150	−	3.44154i	−0.960516	−	0.206410i
$279$	−1.89007	−	3.45936i	−0.113155	−	0.207107i
$280$	−1.59771	+	16.8518i	−0.0954817	+	1.00709i
$281$	7.25718	+	2.35800i	0.432927	+	0.140667i	0.517370	−	0.855762i	$-0.326911\pi$
$281$	7.25718	+	2.35800i	0.432927	+	0.140667i	−0.0844429	+	0.996428i	$0.526911\pi$
$282$	−13.4193	+	4.93659i	−0.799109	+	0.293970i
$283$	18.9661	+	6.16246i	1.12742	+	0.366320i	0.812594	−	0.582830i	$-0.198055\pi$
$283$	18.9661	+	6.16246i	1.12742	+	0.366320i	0.314823	+	0.949150i	$0.398055\pi$
$284$	−0.0402894	−	0.0181543i	−0.00239074	−	0.00107726i
$285$	−25.2279	−	12.6918i	−1.49437	−	0.751798i
$286$	−4.61047	−	10.4179i	−0.272623	−	0.616025i
$287$	16.8713	−	12.2577i	0.995881	−	0.723550i
$288$	16.4672	+	4.10269i	0.970338	+	0.241753i
$289$	−11.3426	−	8.24090i	−0.667213	−	0.484759i
$290$	−15.9689	−	11.2481i	−0.937727	−	0.660509i
$291$	0.921430	−	14.3471i	0.0540152	−	0.841043i
$292$	−11.3179	+	2.35284i	−0.662330	+	0.137690i
$293$			10.7374i			0.627288i	0.949541	+	0.313644i	$0.101550\pi$
$293$			10.7374i			0.627288i	−0.949541	+	0.313644i	$0.898450\pi$
$294$	−0.0153412	−	0.399859i	−0.000894716	−	0.0233203i
$295$	0.613858	−	0.705375i	0.0357402	−	0.0410685i
$296$	−25.2670	+	8.02275i	−1.46861	+	0.466313i
$297$	−2.27426	+	11.6738i	−0.131966	+	0.677381i
$298$	−13.1290	+	5.81028i	−0.760544	+	0.336580i
$299$	28.8609			1.66907
$300$	−10.6622	+	13.6498i	−0.615583	+	0.788072i
$301$	−6.60158			−0.380509
$302$	−20.8223	+	9.21495i	−1.19819	+	0.530261i
$303$	5.24054	−	13.1858i	0.301061	−	0.757506i
$304$	−6.31903	+	28.4739i	−0.362421	+	1.63309i
$305$	−16.2556	−	6.91069i	−0.930793	−	0.395705i
$306$	−4.45606	+	5.81196i	−0.254736	+	0.332248i
$307$			25.7559i			1.46997i	0.678084	+	0.734984i	$0.262810\pi$
$307$			25.7559i			1.46997i	−0.678084	+	0.734984i	$0.737190\pi$
$308$	2.49371	+	11.9955i	0.142092	+	0.683508i
$309$	21.0329	+	1.35082i	1.19652	+	0.0768455i
$310$	−1.34186	−	3.93263i	−0.0762124	−	0.223358i
$311$	−10.6715	−	7.75332i	−0.605127	−	0.439651i	0.242568	−	0.970134i	$-0.422010\pi$
$311$	−10.6715	−	7.75332i	−0.605127	−	0.439651i	−0.847695	+	0.530484i	$0.822010\pi$
$312$	17.1989	+	1.22049i	0.973698	+	0.0690966i
$313$	23.1320	−	16.8064i	1.30750	−	0.949954i	0.307500	−	0.951548i	$-0.400508\pi$
$313$	23.1320	−	16.8064i	1.30750	−	0.949954i	0.999999	+	0.00159451i	$0.000507549\pi$
$314$	9.68571	+	21.8860i	0.546596	+	1.23510i
$315$	9.08030	−	15.4887i	0.511617	−	0.872689i
$316$	−8.47378	+	18.8056i	−0.476688	+	1.05790i
$317$	−4.14438	−	1.34659i	−0.232771	−	0.0756320i	0.190309	−	0.981724i	$-0.439051\pi$
$317$	−4.14438	−	1.34659i	−0.232771	−	0.0756320i	−0.423080	+	0.906092i	$0.639051\pi$
$318$	−0.633514	−	1.72210i	−0.0355257	−	0.0965708i
$319$	−13.4458	−	4.36880i	−0.752819	−	0.244606i
$320$	16.3672	+	7.21895i	0.914957	+	0.403551i
$321$	−7.14253	−	2.83871i	−0.398657	−	0.158441i
$322$	−30.3455	−	6.52109i	−1.69109	−	0.363406i
$323$	−10.1830	−	7.39835i	−0.566595	−	0.411655i
$324$	−13.9975	−	11.3168i	−0.777639	−	0.628711i
$325$	−8.27881	+	15.5287i	−0.459226	+	0.861380i
$326$	−3.30698	+	5.69839i	−0.183157	+	0.315605i
$327$	−26.0210	+	6.64489i	−1.43896	+	0.367463i
$328$	−6.66944	−	21.0048i	−0.368258	−	1.15980i
$329$	14.8587	−	4.82788i	0.819186	−	0.266170i
$330$	−4.45888	+	11.7168i	−0.245453	+	0.644990i
$331$	−24.5671	−	7.98232i	−1.35033	−	0.438748i	−0.457525	−	0.889197i	$-0.651264\pi$
$331$	−24.5671	−	7.98232i	−1.35033	−	0.438748i	−0.892802	+	0.450449i	$0.851264\pi$
$332$	2.72998	+	4.77767i	0.149827	+	0.262209i
$333$	27.8872	+	3.59689i	1.52821	+	0.197108i
$334$	18.8380	−	1.93737i	1.03077	−	0.106008i
$335$	−1.59857	−	0.140747i	−0.0873392	−	0.00768983i
$336$	−17.8078	−	5.16934i	−0.971497	−	0.282011i
$337$	21.2843	−	15.4640i	1.15943	−	0.842376i	0.169725	−	0.985492i	$-0.445712\pi$
$337$	21.2843	−	15.4640i	1.15943	−	0.842376i	0.989706	+	0.143116i	$0.0457122\pi$
$338$	−0.862058	+	0.0886575i	−0.0468898	+	0.00482233i
$339$	0.139231	+	0.545218i	0.00756197	+	0.0296122i
$340$	−5.67226	+	5.23643i	−0.307622	+	0.283985i
$341$	−1.76781	−	2.43318i	−0.0957321	−	0.131764i
$342$	18.8230	−	24.5505i	1.01783	−	1.32754i
$343$		−	18.2979i		−	0.987993i
$344$	−2.20030	+	6.62039i	−0.118632	+	0.356947i
$345$	−22.5719	−	22.3418i	−1.21523	−	1.20284i
$346$	23.0461	+	4.95248i	1.23897	+	0.266247i
$347$	−0.424321	−	1.30593i	−0.0227787	−	0.0701058i	0.939021	−	0.343860i	$-0.111735\pi$
$347$	−0.424321	−	1.30593i	−0.0227787	−	0.0701058i	−0.961800	+	0.273754i	$0.911735\pi$
$348$	15.3738	−	14.8821i	0.824121	−	0.797765i
$349$	6.04822			0.323754			0.161877	−	0.986811i	$-0.448245\pi$
$349$	6.04822			0.323754			0.161877	+	0.986811i	$0.448245\pi$
$350$	12.2133	−	14.4569i	0.652831	−	0.772755i
$351$	−15.9914	−	8.87299i	−0.853558	−	0.473605i
$352$	12.8608	+	1.49729i	0.685486	+	0.0798056i
$353$	7.89521	−	2.56531i	0.420219	−	0.136538i	−0.0912719	−	0.995826i	$-0.529093\pi$
$353$	7.89521	−	2.56531i	0.420219	−	0.136538i	0.511491	+	0.859288i	$0.329093\pi$
$354$	0.633414	+	0.805008i	0.0336656	+	0.0427857i
$355$	0.0254229	+	0.0423638i	0.00134931	+	0.00224844i
$356$	−4.68407	−	22.5319i	−0.248255	−	1.19419i
$357$	5.10882	−	6.15913i	0.270387	−	0.325976i
$358$	−22.3365	+	20.0216i	−1.18052	+	1.05818i
$359$	−8.76883	+	6.37093i	−0.462801	+	0.336245i	−0.794629	−	0.607095i	$-0.792335\pi$
$359$	−8.76883	+	6.37093i	−0.462801	+	0.336245i	0.331828	+	0.943340i	$0.392335\pi$
$360$	−12.5064	−	14.2685i	−0.659143	−	0.752018i
$361$	27.6429	+	20.0837i	1.45489	+	1.05704i
$362$	−24.9905	+	2.57012i	−1.31347	+	0.135083i
$363$	0.639548	−	9.95808i	0.0335676	−	0.522664i
$364$	−18.7276	−	2.05306i	−0.981591	−	0.107610i
$365$	11.8941	+	5.05651i	0.622566	+	0.264670i
$366$	10.7648	−	16.0786i	0.562687	−	0.840441i
$367$	−8.52995	−	2.77155i	−0.445260	−	0.144674i	0.0778012	−	0.996969i	$-0.475210\pi$
$367$	−8.52995	−	2.77155i	−0.445260	−	0.144674i	−0.523061	+	0.852295i	$0.675210\pi$
$368$	−16.6538	+	28.2584i	−0.868139	+	1.47307i
$369$	−2.99015	+	23.1831i	−0.155661	+	1.20686i
$370$	28.3198	+	8.74467i	1.47228	+	0.454614i
$371$	0.619563	+	1.90682i	0.0321661	+	0.0989972i
$372$	4.50679	−	0.638927i	0.233666	−	0.0331268i
$373$	2.04089	+	1.48279i	0.105673	+	0.0767762i	0.639367	−	0.768902i	$-0.279196\pi$
$373$	2.04089	+	1.48279i	0.105673	+	0.0767762i	−0.533694	+	0.845678i	$0.679196\pi$
$374$	−2.80459	+	4.83271i	−0.145022	+	0.249894i
$375$	18.4959	−	5.73614i	0.955122	−	0.296213i
$376$	0.110757	−	16.5102i	0.00571186	−	0.851446i
$377$	12.7781	−	17.5876i	0.658107	−	0.905807i
$378$	14.8091	+	12.9426i	0.761699	+	0.665697i
$379$	26.3233	−	8.55294i	1.35213	−	0.439335i	0.458725	−	0.888578i	$-0.348306\pi$
$379$	26.3233	−	8.55294i	1.35213	−	0.439335i	0.893410	+	0.449243i	$0.148306\pi$
$380$	23.9604	−	22.1194i	1.22914	−	1.13470i
$381$	−6.03343	+	3.81790i	−0.309102	+	0.195597i
$382$	8.19285	+	4.75460i	0.419182	+	0.243267i
$383$	−6.76658	+	20.8254i	−0.345756	+	1.06413i	0.615422	+	0.788198i	$0.288986\pi$
$383$	−6.76658	+	20.8254i	−0.345756	+	1.06413i	−0.961178	+	0.275930i	$0.911014\pi$
$384$	−11.1194	+	16.1356i	−0.567435	+	0.823418i
$385$	5.35926	−	12.6062i	0.273133	−	0.642474i
$386$	−3.06957	−	6.93607i	−0.156237	−	0.353037i
$387$	5.07946	−	5.38088i	0.258203	−	0.273525i
$388$	15.1352	+	6.81990i	0.768374	+	0.346228i
$389$	−0.458545	+	0.631134i	−0.0232492	+	0.0319997i	−0.820483	−	0.571670i	$-0.806296\pi$
$389$	−0.458545	+	0.631134i	−0.0232492	+	0.0319997i	0.797234	+	0.603670i	$0.206296\pi$
$390$	−15.0163	−	12.0883i	−0.760380	−	0.612115i
$391$	−8.32016	−	11.4517i	−0.420769	−	0.579138i
$392$	0.438475	+	0.145728i	0.0221463	+	0.00736039i
$393$	−14.4220	+	17.3870i	−0.727495	+	0.877059i
$394$	−16.4391	−	18.3398i	−0.828189	−	0.923943i
$395$	19.7739	−	11.8665i	0.994933	−	0.597068i
$396$	−11.6962	−	7.19712i	−0.587754	−	0.361669i
$397$	8.07064	+	24.8389i	0.405054	+	1.24663i	0.920850	+	0.389917i	$0.127496\pi$
$397$	8.07064	+	24.8389i	0.405054	+	1.24663i	−0.515796	+	0.856711i	$0.672504\pi$
$398$	0.715073	−	0.316457i	0.0358434	−	0.0158626i
$399$	−21.5803	+	26.0170i	−1.08037	+	1.30248i
$400$	−10.4274	−	17.0666i	−0.521370	−	0.853331i
$401$		−	34.6680i		−	1.73124i	−0.500706	−	0.865618i	$-0.666926\pi$
$401$		−	34.6680i		−	1.73124i	0.500706	−	0.865618i	$-0.333074\pi$
$402$	0.478731	−	1.69148i	0.0238769	−	0.0843633i
$403$	4.39836	−	1.42911i	0.219098	−	0.0711893i
$404$	12.1266	+	11.0175i	0.603322	+	0.548139i
$405$	5.63801	+	19.3187i	0.280155	+	0.959955i
$406$	−17.4093	+	15.6050i	−0.864008	+	0.774465i
$407$	21.4528			1.06338
$408$	−4.47391	−	7.17621i	−0.221491	−	0.355275i
$409$	0.542682	−	0.394282i	0.0268339	−	0.0194960i	−0.574287	−	0.818654i	$-0.694721\pi$
$409$	0.542682	−	0.394282i	0.0268339	−	0.0194960i	0.601121	+	0.799158i	$0.294721\pi$
$410$	−7.26958	+	23.5427i	−0.359019	+	1.16269i
$411$	−3.53399	−	13.8389i	−0.174319	−	0.682621i
$412$	−9.99799	+	22.1883i	−0.492565	+	1.09314i
$413$	−0.657872	−	0.905483i	−0.0323718	−	0.0445559i
$414$	28.6640	−	19.7167i	1.40876	−	0.969025i
$415$	0.539580	−	6.12842i	0.0264869	−	0.300832i
$416$	−8.30080	+	18.0966i	−0.406980	+	0.887260i
$417$	−16.9530	+	10.7277i	−0.830190	+	0.525337i
$418$	11.8470	−	20.4140i	0.579455	−	0.998483i
$419$	0.661155	−	2.03483i	0.0322996	−	0.0994078i	−0.933607	−	0.358299i	$-0.883357\pi$
$419$	0.661155	−	2.03483i	0.0322996	−	0.0994078i	0.965907	+	0.258891i	$0.0833570\pi$
$420$	13.0574	+	16.1030i	0.637134	+	0.785746i
$421$	−2.38764	−	7.34841i	−0.116367	−	0.358140i	0.875863	−	0.482560i	$-0.160293\pi$
$421$	−2.38764	−	7.34841i	−0.116367	−	0.358140i	−0.992230	+	0.124420i	$0.960293\pi$
$422$	−14.6102	−	3.13965i	−0.711213	−	0.152836i
$423$	−7.49757	+	15.8259i	−0.364545	+	0.769481i
$424$	2.11875	+	0.0142135i	0.102896	+	0.000690268i
$425$	8.54829	−	1.19175i	0.414653	−	0.0578084i
$426$	−0.0507943	+	0.0186858i	−0.00246099	+	0.000905331i
$427$	−12.4271	+	17.1045i	−0.601391	+	0.827744i
$428$	5.96796	−	6.56877i	0.288472	−	0.317514i
$429$	−12.9664	−	5.15333i	−0.626024	−	0.248805i
$430$	6.24235	−	4.67671i	0.301033	−	0.225531i
$431$	−10.3765	+	31.9356i	−0.499819	+	1.53828i	0.309492	+	0.950902i	$0.399841\pi$
$431$	−10.3765	+	31.9356i	−0.499819	+	1.53828i	−0.809310	+	0.587381i	$0.800159\pi$
$432$	17.9154	−	10.5375i	0.861954	−	0.506987i
$433$	7.66365	−	23.5863i	0.368291	−	1.13348i	−0.579603	−	0.814899i	$-0.696792\pi$
$433$	7.66365	−	23.5863i	0.368291	−	1.13348i	0.947894	−	0.318585i	$-0.103208\pi$
$434$	−4.94751	+	0.508821i	−0.237488	+	0.0244242i
$435$	−23.6085	+	3.86334i	−1.13194	+	0.185233i
$436$	3.37939	−	30.8260i	0.161843	−	1.47630i
$437$	35.1455	+	48.3736i	1.68124	+	2.31402i
$438$	−7.87656	+	11.7646i	−0.376356	+	0.562134i
$439$	−0.770658	+	1.06072i	−0.0367815	+	0.0506254i	−0.827012	−	0.562185i	$-0.809961\pi$
$439$	−0.770658	+	1.06072i	−0.0367815	+	0.0506254i	0.790230	+	0.612810i	$0.209961\pi$
$440$	−10.8559	−	9.57618i	−0.517536	−	0.456526i
$441$	−0.356381	−	0.336417i	−0.0169705	−	0.0160199i
$442$	−5.73484	−	6.39789i	−0.272778	−	0.304317i
$443$	5.40886			0.256983			0.128491	−	0.991711i	$-0.458987\pi$
$443$	5.40886			0.256983			0.128491	+	0.991711i	$0.458987\pi$
$444$	−15.2083	+	28.6860i	−0.721754	+	1.36138i
$445$	−10.0666	+	23.6790i	−0.477202	+	1.12249i
$446$	−0.475221	−	0.102123i	−0.0225024	−	0.00483564i
$447$	−6.49441	+	16.3407i	−0.307175	+	0.772889i
$448$	12.8167	−	17.1519i	0.605531	−	0.810352i
$449$		−	4.98553i		−	0.235282i	−0.993056	−	0.117641i	$-0.962467\pi$
$449$		−	4.98553i		−	0.235282i	0.993056	−	0.117641i	$-0.0375332\pi$
$450$	2.38636	+	21.0786i	0.112494	+	0.993652i
$451$			17.8341i			0.839774i
$452$	−0.645898	−	0.0708085i	−0.0303805	−	0.00333055i
$453$	−10.3000	+	25.9159i	−0.483934	+	1.21764i
$454$	3.76706	−	17.5298i	0.176797	−	0.822714i
$455$	15.8892	+	13.8277i	0.744896	+	0.648251i
$456$	18.8984	+	30.3133i	0.884999	+	1.41955i
$457$	−28.9239			−1.35300			−0.676501	−	0.736441i	$-0.736505\pi$
$457$	−28.9239			−1.35300			−0.676501	+	0.736441i	$0.736505\pi$
$458$	29.4552	−	26.4026i	1.37635	−	1.23371i
$459$	1.08936	+	8.90316i	0.0508470	+	0.415564i
$460$	33.3139	−	15.3312i	1.55327	−	0.714821i
$461$	−12.1101	+	16.6681i	−0.564022	+	0.776310i	−0.991831	−	0.127559i	$-0.959286\pi$
$461$	−12.1101	+	16.6681i	−0.564022	+	0.776310i	0.427809	+	0.903869i	$0.359286\pi$
$462$	12.4690	+	8.34814i	0.580109	+	0.388391i
$463$	−0.364485	−	0.501670i	−0.0169390	−	0.0233146i	0.800463	−	0.599382i	$-0.204587\pi$
$463$	−0.364485	−	0.501670i	−0.0169390	−	0.0233146i	−0.817403	+	0.576067i	$0.804587\pi$
$464$	9.84700	+	22.6600i	0.457135	+	1.05197i
$465$	−4.54623	−	2.28715i	−0.210826	−	0.106064i
$466$	0.397381	+	3.86392i	0.0184083	+	0.178993i
$467$	−12.8476	+	39.5410i	−0.594518	+	1.82974i	−0.0374063	+	0.999300i	$0.511910\pi$
$467$	−12.8476	+	39.5410i	−0.594518	+	1.82974i	−0.557112	+	0.830438i	$0.688090\pi$
$468$	16.0830	−	13.6849i	0.743436	−	0.632587i
$469$	−0.593560	+	1.82679i	−0.0274080	+	0.0843533i
$470$	−10.6300	+	15.0914i	−0.490324	+	0.696115i
$471$	27.2399	+	10.8262i	1.25515	+	0.498843i
$472$	−1.12733	+	0.357949i	−0.0518896	+	0.0164759i
$473$	3.31838	−	4.56736i	0.152579	−	0.210007i
$474$	8.72186	+	23.7090i	0.400608	+	1.08899i
$475$	−36.1091	+	5.03412i	−1.65680	+	0.230981i
$476$	4.58423	+	8.02276i	0.210118	+	0.367723i
$477$	−2.03094	−	0.962165i	−0.0929903	−	0.0440545i
$478$	−0.297228	+	1.38313i	−0.0135949	+	0.0632630i
$479$	−2.79806	−	8.61154i	−0.127847	−	0.393471i	0.866562	−	0.499069i	$-0.166324\pi$
$479$	−2.79806	−	8.61154i	−0.127847	−	0.393471i	−0.994409	+	0.105598i	$0.966324\pi$
$480$	20.5009	−	7.72744i	0.935734	−	0.352708i
$481$	−10.1938	+	31.3732i	−0.464797	+	1.43050i
$482$	19.0051	+	11.0293i	0.865658	+	0.502372i
$483$	−32.1228	+	20.3270i	−1.46164	+	0.924911i
$484$	10.5051	+	4.73357i	0.477503	+	0.215162i
$485$	−9.55043	−	15.9145i	−0.433663	−	0.722640i
$486$	−21.9440	+	2.11230i	−0.995399	+	0.0958159i
$487$	8.79857	+	12.1102i	0.398701	+	0.548765i	0.960417	−	0.278565i	$-0.0898587\pi$
$487$	8.79857	+	12.1102i	0.398701	+	0.548765i	−0.561716	+	0.827330i	$0.689859\pi$
$488$	13.0112	+	18.1634i	0.588992	+	0.822220i
$489$	1.99653	+	7.81828i	0.0902862	+	0.353555i
$490$	−0.309743	−	0.413437i	−0.0139928	−	0.0186772i
$491$	14.2576	−	10.3587i	0.643435	−	0.467483i	−0.217593	−	0.976040i	$-0.569821\pi$
$491$	14.2576	−	10.3587i	0.643435	−	0.467483i	0.861029	+	0.508556i	$0.169821\pi$
$492$	−23.8471	−	12.6429i	−1.07511	−	0.569986i
$493$	−10.6623			−0.480206
$494$	24.2247	+	27.0256i	1.08992	+	1.21594i
$495$	6.15164	+	14.0679i	0.276496	+	0.632305i
$496$	−1.13873	+	5.13119i	−0.0511305	+	0.230397i
$497$	0.0562426	−	0.0182743i	0.00252283	−	0.000819716i
$498$	6.48460	+	1.83530i	0.290582	+	0.0822420i
$499$		−	37.6563i		−	1.68573i	−0.538127	−	0.842864i	$-0.680868\pi$
$499$		−	37.6563i		−	1.68573i	0.538127	−	0.842864i	$-0.319132\pi$
$500$	−1.30713	+	22.3224i	−0.0584566	+	0.998290i
$501$	14.8073	−	17.8515i	0.661542	−	0.797547i
$502$	1.26512	+	2.85869i	0.0564651	+	0.127590i
$503$	−8.99503	−	27.6838i	−0.401068	−	1.23436i	−0.924134	−	0.382069i	$-0.875212\pi$
$503$	−8.99503	−	27.6838i	−0.401068	−	1.23436i	0.523065	−	0.852293i	$-0.324788\pi$
$504$	−20.0023	+	10.7549i	−0.890975	+	0.479063i
$505$	−4.11079	−	17.8508i	−0.182928	−	0.794350i
$506$	19.7653	−	17.7169i	0.878673	−	0.787610i
$507$	−0.677609	+	0.816917i	−0.0300937	+	0.0362805i
$508$	−1.67804	−	8.07191i	−0.0744511	−	0.358133i
$509$	−10.9017	−	15.0049i	−0.483209	−	0.665080i	0.495909	−	0.868375i	$-0.334835\pi$
$509$	−10.9017	−	15.0049i	−0.483209	−	0.665080i	−0.979118	+	0.203295i	$0.934835\pi$
$510$	−0.467549	+	9.44318i	−0.0207034	+	0.418151i
$511$	9.09285	−	12.5152i	0.402244	−	0.553642i
$512$	−12.9290	−	18.5699i	−0.571386	−	0.820682i
$513$	−4.60161	−	37.6082i	−0.203166	−	1.66044i
$514$	−16.7153	+	7.39740i	−0.737282	+	0.326286i
$515$	23.3307	−	14.0010i	1.02807	−	0.616956i
$516$	3.75486	+	7.67511i	0.165298	+	0.337878i
$517$	−4.12873	+	12.7069i	−0.181581	+	0.558850i
$518$	17.8069	−	30.6837i	0.782388	−	1.34817i
$519$	24.3959	−	15.4375i	1.07086	−	0.677631i
$520$	19.1629	−	11.3257i	0.840350	−	0.496664i
$521$	15.9028	−	5.16714i	0.696715	−	0.226377i	0.0608165	−	0.998149i	$-0.480630\pi$
$521$	15.9028	−	5.16714i	0.696715	−	0.226377i	0.635899	+	0.771772i	$0.280630\pi$
$522$	0.675728	−	26.1971i	0.0295758	−	1.14662i
$523$	14.7263	−	20.2690i	0.643936	−	0.886302i	−0.354882	−	0.934911i	$-0.615479\pi$
$523$	14.7263	−	20.2690i	0.643936	−	0.886302i	0.998818	+	0.0486095i	$0.0154790\pi$
$524$	−12.9411	−	22.6480i	−0.565336	−	0.989383i
$525$	−1.72256	−	23.1146i	−0.0751787	−	1.00880i
$526$	17.9933	+	10.4422i	0.784547	+	0.455300i
$527$	−1.83504	−	1.33323i	−0.0799355	−	0.0580765i
$528$	12.5278	−	9.72206i	0.545204	−	0.423098i
$529$	13.6719	+	42.0776i	0.594428	+	1.82946i
$530$	−1.93668	−	1.36415i	−0.0841242	−	0.0592547i
$531$	1.24424	+	0.160482i	0.0539952	+	0.00696431i
$532$	−19.3644	−	33.8892i	−0.839553	−	1.46928i
$533$	−26.0811	−	8.47426i	−1.12970	−	0.367061i
$534$	−23.4212	−	15.6808i	−1.01353	−	0.678574i
$535$	−9.66945	+	2.22674i	−0.418047	+	0.0962704i
$536$	1.63416	+	1.20412i	0.0705849	+	0.0520100i
$537$	−2.35461	+	36.6624i	−0.101609	+	1.58210i
$538$	2.53693	+	24.6677i	0.109375	+	1.06350i
$539$	−0.302501	−	0.219780i	−0.0130296	−	0.00946658i
$540$	−23.1721	−	1.74723i	−0.997169	−	0.0751887i
$541$	7.95973	−	5.78309i	0.342216	−	0.248634i	−0.403380	−	0.915032i	$-0.632165\pi$
$541$	7.95973	−	5.78309i	0.342216	−	0.248634i	0.745596	+	0.666398i	$0.232165\pi$
$542$	3.36096	+	3.74956i	0.144366	+	0.161057i
$543$	−19.6435	+	23.6819i	−0.842981	+	1.01629i
$544$	9.57354	−	1.92331i	0.410462	−	0.0824610i
$545$	−22.7607	+	26.1539i	−0.974960	+	1.12031i
$546$	−18.1335	+	14.2682i	−0.776042	+	0.610622i
$547$	12.5604	−	4.08111i	0.537043	−	0.174496i	−0.0279231	−	0.999610i	$-0.508889\pi$
$547$	12.5604	−	4.08111i	0.537043	−	0.174496i	0.564966	+	0.825114i	$0.308889\pi$
$548$	16.3943	+	1.79728i	0.700331	+	0.0767759i
$549$	−4.37987	−	23.2899i	−0.186928	−	0.993990i
$550$	3.86293	+	15.7169i	0.164716	+	0.670170i
$551$	45.0390			1.91873
$552$	9.67842	+	38.9892i	0.411941	+	1.65949i
$553$	−8.52980	−	26.2520i	−0.362724	−	1.11635i
$554$	5.12427	−	23.8455i	0.217709	−	1.01310i
$555$	32.2590	−	16.6456i	1.36932	−	0.706566i
$556$	−4.71503	−	22.6808i	−0.199962	−	0.961879i
$557$		−	20.6966i		−	0.876944i	−0.898745	−	0.438472i	$-0.855520\pi$
$557$		−	20.6966i		−	0.876944i	0.898745	−	0.438472i	$-0.144480\pi$
$558$	3.39203	−	4.42416i	0.143596	−	0.187290i
$559$	5.10264	+	7.02318i	0.215819	+	0.297049i
$560$	−22.7076	+	7.57842i	−0.959573	+	0.320247i
$561$	1.69322	+	6.63056i	0.0714880	+	0.279942i
$562$	1.10400	+	10.7348i	0.0465696	+	0.452818i
$563$	−33.0338	+	24.0005i	−1.39221	+	1.01150i	−0.396591	+	0.917995i	$0.629807\pi$
$563$	−33.0338	+	24.0005i	−1.39221	+	1.01150i	−0.995619	+	0.0935044i	$0.970193\pi$
$564$	−14.0643	−	14.5290i	−0.592215	−	0.611780i
$565$	0.548004	+	0.476905i	0.0230547	+	0.0200635i
$566$	2.88523	+	28.0545i	0.121275	+	1.17922i
$567$	24.0480	−	1.38707i	1.00992	−	0.0582516i
$568$	0.000419234	−	0.0624937i	1.75907e−5	−	0.00262218i
$569$	−6.61041	−	2.14785i	−0.277123	−	0.0900426i	0.167158	−	0.985930i	$-0.446541\pi$
$569$	−6.61041	−	2.14785i	−0.277123	−	0.0900426i	−0.444281	+	0.895887i	$0.646541\pi$
$570$	1.97499	−	39.8893i	0.0827232	−	1.67078i
$571$	−23.5527	+	7.65273i	−0.985649	+	0.320257i	−0.757117	−	0.653280i	$-0.773393\pi$
$571$	−23.5527	+	7.65273i	−0.985649	+	0.320257i	−0.228532	+	0.973536i	$0.573393\pi$
$572$	10.8341	−	11.9248i	0.452997	−	0.498602i
$573$	11.2407	−	2.87050i	0.469588	−	0.119917i
$574$	25.5079	+	14.8031i	1.06468	+	0.617871i
$575$	−40.3701	−	7.16436i	−1.68355	−	0.298774i
$576$	4.11881	+	23.6439i	0.171617	+	0.985164i
$577$	−13.0154	−	9.45623i	−0.541838	−	0.393668i	0.282929	−	0.959141i	$-0.408694\pi$
$577$	−13.0154	−	9.45623i	−0.541838	−	0.393668i	−0.824767	+	0.565473i	$0.808694\pi$
$578$	4.16576	−	19.3851i	0.173273	−	0.806314i
$579$	−8.63280	−	3.43100i	−0.358767	−	0.142587i
$580$	5.40697	−	27.0890i	0.224512	−	1.12481i
$581$	−7.00334	−	2.27552i	−0.290547	−	0.0944046i
$582$	19.0815	−	7.01955i	0.790954	−	0.290970i
$583$	−1.63068	−	0.529841i	−0.0675360	−	0.0219438i
$584$	−9.52025	−	13.2901i	−0.393951	−	0.549947i
$585$	−23.4964	+	2.31167i	−0.971457	+	0.0955757i
$586$	−13.8860	+	6.14528i	−0.573626	+	0.253859i
$587$	8.32167	−	6.04605i	0.343472	−	0.249547i	−0.402653	−	0.915353i	$-0.631912\pi$
$587$	8.32167	−	6.04605i	0.343472	−	0.249547i	0.746125	+	0.665806i	$0.231912\pi$
$588$	0.508330	−	0.248688i	0.0209632	−	0.0102557i
$589$	7.75144	+	5.63175i	0.319393	+	0.232052i
$590$	1.26354	+	0.390159i	0.0520190	+	0.0160626i
$591$	−30.1023	−	1.93329i	−1.23824	−	0.0795249i
$592$	−24.8361	−	28.0845i	−1.02076	−	1.15426i
$593$			3.83939i			0.157665i	0.996888	+	0.0788325i	$0.0251192\pi$
$593$			3.83939i			0.157665i	−0.996888	+	0.0788325i	$0.974881\pi$
$594$	−16.3985	+	3.74001i	−0.672838	+	0.153454i
$595$	0.906073	−	10.2910i	0.0371454	−	0.421888i
$596$	−15.0281	−	13.6535i	−0.615573	−	0.559270i
$597$	0.353718	−	0.889997i	0.0144767	−	0.0364252i
$598$	16.5178	+	37.3239i	0.675461	+	1.52629i
$599$	−46.4231			−1.89680			−0.948399	−	0.317079i	$-0.897298\pi$
$599$	−46.4231			−1.89680			−0.948399	+	0.317079i	$0.897298\pi$
$600$	−23.7546	−	5.97661i	−0.969777	−	0.243994i
$601$	40.1233			1.63666			0.818332	−	0.574746i	$-0.194899\pi$
$601$	40.1233			1.63666			0.818332	+	0.574746i	$0.194899\pi$
$602$	−3.77823	−	8.53737i	−0.153989	−	0.347957i
$603$	−1.03229	−	1.88939i	−0.0420382	−	0.0769419i
$604$	−23.8341	−	21.6541i	−0.969796	−	0.881094i
$605$	−6.62878	−	11.0460i	−0.269498	−	0.449082i
$606$	20.0516	−	0.769310i	0.814541	−	0.0312511i
$607$		−	13.8983i		−	0.564114i	−0.959398	−	0.282057i	$-0.908983\pi$
$607$		−	13.8983i		−	0.564114i	0.959398	−	0.282057i	$-0.0910168\pi$
$608$	−40.4399	+	8.12430i	−1.64006	+	0.329484i
$609$	−1.83520	+	28.5750i	−0.0743663	+	1.15792i
$610$	−0.366309	−	24.9774i	−0.0148314	−	1.01130i
$611$	−16.6211	−	12.0760i	−0.672419	−	0.488541i
$612$	−10.0665	−	2.43640i	−0.406915	−	0.0984857i
$613$	−31.0010	+	22.5236i	−1.25212	+	0.909719i	−0.998343	−	0.0575441i	$-0.981673\pi$
$613$	−31.0010	+	22.5236i	−1.25212	+	0.909719i	−0.253777	+	0.967263i	$0.581673\pi$
$614$	−33.3084	+	14.7407i	−1.34422	+	0.594886i
$615$	13.8377	+	26.8175i	0.557992	+	1.08138i
$616$	−14.0858	+	10.0902i	−0.567532	+	0.406548i
$617$	−22.7574	−	7.39434i	−0.916180	−	0.297685i	−0.187281	−	0.982306i	$-0.559967\pi$
$617$	−22.7574	−	7.39434i	−0.916180	−	0.297685i	−0.728899	+	0.684622i	$0.759967\pi$
$618$	10.2907	+	27.9735i	0.413952	+	1.12526i
$619$	18.4227	+	5.98591i	0.740472	+	0.240594i	0.654877	−	0.755736i	$-0.272721\pi$
$619$	18.4227	+	5.98591i	0.740472	+	0.240594i	0.0855958	+	0.996330i	$0.472721\pi$
$620$	4.31783	−	3.98606i	0.173408	−	0.160084i
$621$	8.14790	−	41.8231i	0.326964	−	1.67830i
$622$	3.91929	−	18.2382i	0.157149	−	0.731284i
$623$	24.9156	+	18.1022i	0.998221	+	0.725250i
$624$	8.26496	+	22.9407i	0.330863	+	0.918364i
$625$	15.4350	−	19.6662i	0.617402	−	0.786648i
$626$	34.9735	+	20.2964i	1.39782	+	0.811206i
$627$	−7.15241	−	28.0084i	−0.285640	−	1.11855i
$628$	−22.7604	+	25.0517i	−0.908237	+	0.999673i
$629$	15.3873	−	4.99963i	0.613531	−	0.199348i
$630$	25.2273	+	2.87840i	1.00508	+	0.114678i
$631$	40.4375	+	13.1389i	1.60979	+	0.523053i	0.969502	−	0.245082i	$-0.0788149\pi$
$631$	40.4375	+	13.1389i	1.60979	+	0.523053i	0.640288	+	0.768135i	$0.278815\pi$
$632$	−29.1698	−	0.195683i	−1.16031	−	0.00778386i
$633$	−15.4659	+	9.78668i	−0.614714	+	0.388986i
$634$	−0.630467	−	6.13032i	−0.0250390	−	0.243466i
$635$	−3.60630	+	8.48287i	−0.143112	+	0.336632i
$636$	1.86451	−	1.80488i	0.0739324	−	0.0715681i
$637$	0.465152	−	0.337953i	0.0184300	−	0.0133902i
$638$	−2.04545	−	19.8889i	−0.0809801	−	0.787408i
$639$	−0.0283796	+	0.0599036i	−0.00112268	+	0.00236975i
$640$	0.0315700	+	25.2982i	0.00124792	+	0.999999i
$641$	−17.7437	−	24.4221i	−0.700834	−	0.964615i	−0.999946	−	0.0103974i	$-0.996690\pi$
$641$	−17.7437	−	24.4221i	−0.700834	−	0.964615i	0.299112	−	0.954218i	$-0.403310\pi$
$642$	−0.416721	−	10.8616i	−0.0164467	−	0.428673i
$643$		−	23.0968i		−	0.910848i	−0.890275	−	0.455424i	$-0.849488\pi$
$643$		−	23.0968i		−	0.910848i	0.890275	−	0.455424i	$-0.150512\pi$
$644$	−8.93411	−	42.9759i	−0.352053	−	1.69349i
$645$	1.44603	−	9.44282i	0.0569374	−	0.371811i
$646$	3.73985	−	17.4032i	0.147142	−	0.684718i
$647$	3.81823	+	11.7513i	0.150110	+	0.461991i	0.997633	−	0.0687679i	$-0.0219068\pi$
$647$	3.81823	+	11.7513i	0.150110	+	0.461991i	−0.847523	+	0.530759i	$0.821907\pi$
$648$	6.62417	−	24.5789i	0.260222	−	0.965549i
$649$	0.957155			0.0375716
$650$	−24.8204	−	1.81897i	−0.973536	−	0.0713459i
$651$	−3.88892	+	4.68843i	−0.152419	+	0.183754i
$652$	−9.26200	−	1.01537i	−0.362728	−	0.0397651i
$653$	−36.9494	+	12.0056i	−1.44594	+	0.469816i	−0.923745	−	0.383008i	$-0.874888\pi$
$653$	−36.9494	+	12.0056i	−1.44594	+	0.469816i	−0.522199	+	0.852824i	$0.674888\pi$
$654$	−23.4858	−	29.8481i	−0.918366	−	1.16715i
$655$	−2.55782	+	29.0511i	−0.0999421	+	1.13512i
$656$	23.3471	−	20.6467i	0.911550	−	0.806117i
$657$	3.20472	+	17.0411i	0.125028	+	0.664836i
$658$	14.7475	+	16.4526i	0.574919	+	0.641390i
$659$	25.6648	−	18.6466i	0.999759	−	0.726367i	0.0377226	−	0.999288i	$-0.487990\pi$
$659$	25.6648	−	18.6466i	0.999759	−	0.726367i	0.962037	+	0.272921i	$0.0879897\pi$
$660$	−17.7045	+	0.939434i	−0.689146	+	0.0365674i
$661$	4.99498	+	3.62906i	0.194282	+	0.141154i	0.680674	−	0.732587i	$-0.261687\pi$
$661$	4.99498	+	3.62906i	0.194282	+	0.141154i	−0.486392	+	0.873741i	$0.661687\pi$
$662$	−3.73728	−	36.3393i	−0.145254	−	1.41237i
$663$	−10.5013	−	0.674436i	−0.407837	−	0.0261929i
$664$	−4.61621	+	6.26486i	−0.179144	+	0.243124i
$665$	−3.82738	+	43.4704i	−0.148419	+	1.68571i
$666$	11.3088	+	38.1232i	0.438209	+	1.47724i
$667$	48.1717	+	15.6519i	1.86521	+	0.606045i
$668$	13.2868	+	23.2530i	0.514083	+	0.899687i
$669$	−0.503054	+	0.318328i	−0.0194492	+	0.0123073i
$670$	−0.732879	−	2.14787i	−0.0283136	−	0.0829796i
$671$	−5.58720	−	17.1956i	−0.215691	−	0.663830i
$672$	−3.50667	−	25.9882i	−0.135273	−	1.00252i
$673$	−34.1691	−	24.8253i	−1.31712	−	0.956946i	−0.999963	−	0.00857423i	$-0.997271\pi$
$673$	−34.1691	−	24.8253i	−1.31712	−	0.956946i	−0.317160	−	0.948372i	$-0.602729\pi$
$674$	32.1800	+	18.6752i	1.23953	+	0.719341i
$675$	20.1659	+	16.3810i	0.776184	+	0.630506i
$676$	−0.608029	−	1.06410i	−0.0233857	−	0.0409269i
$677$	28.5615	−	39.3115i	1.09771	−	1.51086i	0.259315	−	0.965793i	$-0.416503\pi$
$677$	28.5615	−	39.3115i	1.09771	−	1.51086i	0.838391	−	0.545070i	$-0.183497\pi$
$678$	−0.625409	+	0.492098i	−0.0240187	+	0.0188989i
$679$	−21.1282	+	6.86497i	−0.810827	+	0.263454i
$680$	−10.0183	−	4.33862i	−0.384184	−	0.166379i
$681$	−11.7424	−	18.5565i	−0.449969	−	0.711086i
$682$	2.13491	−	3.67874i	0.0817498	−	0.140866i
$683$	3.75080	−	11.5438i	0.143520	−	0.441710i	−0.853298	−	0.521424i	$-0.825401\pi$
$683$	3.75080	−	11.5438i	0.143520	−	0.441710i	0.996818	+	0.0797145i	$0.0254009\pi$
$684$	42.5223	+	10.2917i	1.62588	+	0.393513i
$685$	−13.9096	−	12.1049i	−0.531458	−	0.462505i
$686$	23.6634	−	10.4723i	0.903473	−	0.399834i
$687$	3.10503	−	48.3468i	0.118464	−	1.84455i
$688$	−9.82098	+	0.943494i	−0.374421	+	0.0359704i
$689$	1.54971	−	2.13299i	0.0590393	−	0.0812606i
$690$	15.9746	−	41.9774i	0.608144	−	1.59805i
$691$	3.28043	+	4.51512i	0.124793	+	0.171763i	0.866842	−	0.498582i	$-0.166146\pi$
$691$	3.28043	+	4.51512i	0.124793	+	0.171763i	−0.742049	+	0.670346i	$0.766146\pi$
$692$	6.78508	+	32.6383i	0.257930	+	1.24072i
$693$	18.0614	−	3.39659i	0.686095	−	0.129026i
$694$	1.44602	−	1.29616i	0.0548900	−	0.0492014i
$695$	−10.1331	+	23.8355i	−0.384371	+	0.904132i
$696$	28.0448	+	11.3645i	1.06303	+	0.430769i
$697$	4.15627	+	12.7917i	0.157430	+	0.484520i
$698$	3.46153	+	7.82175i	0.131021	+	0.296058i
$699$	3.66159	+	3.03718i	0.138494	+	0.114877i
$700$	25.6861	+	7.52066i	0.970843	+	0.284254i
$701$		−	17.6170i		−	0.665384i	−0.943036	−	0.332692i	$-0.892043\pi$
$701$		−	17.6170i		−	0.665384i	0.943036	−	0.332692i	$-0.107957\pi$
$702$	2.32260	−	25.7588i	0.0876610	−	0.972203i
$703$	−64.9980	+	21.1191i	−2.45144	+	0.796523i
$704$	5.42421	+	17.4890i	0.204433	+	0.659141i
$705$	3.65105	+	22.3112i	0.137506	+	0.840289i
$706$	7.83614	+	8.74215i	0.294917	+	0.329015i
$707$	−21.9256			−0.824597
$708$	−0.678545	+	1.27987i	−0.0255013	+	0.0481006i
$709$	7.54144	−	5.47917i	0.283225	−	0.205775i	−0.437098	−	0.899414i	$-0.643994\pi$
$709$	7.54144	−	5.47917i	0.283225	−	0.205775i	0.720323	+	0.693639i	$0.243994\pi$
$710$	−0.0402362	+	0.0571235i	−0.00151004	+	0.00214381i
$711$	27.9608	+	13.2465i	1.04861	+	0.496784i
$712$	26.4581	−	18.9531i	0.991560	−	0.710297i
$713$	6.33345	+	8.71724i	0.237189	+	0.326463i
$714$	10.8891	+	3.08188i	0.407513	+	0.115336i
$715$	−17.5537	+	4.04238i	−0.656472	+	0.151176i
$716$	−38.6763	−	17.4274i	−1.44540	−	0.651294i
$717$	0.926495	+	1.46414i	0.0346006	+	0.0546793i
$718$	−13.2577	−	7.69390i	−0.494772	−	0.287134i
$719$	−1.78258	+	5.48623i	−0.0664792	+	0.204602i	−0.978778	−	0.204923i	$-0.934306\pi$
$719$	−1.78258	+	5.48623i	−0.0664792	+	0.204602i	0.912299	+	0.409525i	$0.134306\pi$
$720$	11.2948	−	24.3398i	0.420934	−	0.907091i
$721$	−10.0641	−	30.9740i	−0.374806	−	1.15353i
$722$	−10.1523	+	47.2430i	−0.377829	+	1.75820i
$723$	26.0753	−	6.65876i	0.969750	−	0.247642i
$724$	−17.6264	−	30.8476i	−0.655080	−	1.14644i
$725$	−22.2397	+	21.4292i	−0.825961	+	0.795859i
$726$	13.2441	−	4.87215i	0.491536	−	0.180822i
$727$	11.1238	−	15.3106i	0.412559	−	0.567839i	−0.551281	−	0.834320i	$-0.685861\pi$
$727$	11.1238	−	15.3106i	0.412559	−	0.567839i	0.963840	+	0.266481i	$0.0858608\pi$
$728$	−8.06311	−	25.3941i	−0.298839	−	0.941167i
$729$	−17.3727	+	20.6686i	−0.643433	+	0.765502i
$730$	0.268026	+	18.2758i	0.00992008	+	0.676418i
$731$	1.31571	−	4.04935i	0.0486634	−	0.149771i
$732$	26.9543	+	4.71928i	0.996259	+	0.174430i
$733$	1.69847	−	5.22735i	0.0627343	−	0.193076i	−0.914777	−	0.403959i	$-0.867634\pi$
$733$	1.69847	−	5.22735i	0.0627343	−	0.193076i	0.977511	+	0.210883i	$0.0676338\pi$
$734$	−1.29763	−	12.6174i	−0.0478962	−	0.465717i
$735$	−0.625407	−	0.0957721i	−0.0230685	−	0.00353261i
$736$	−46.0760	−	5.36427i	−1.69839	−	0.197730i
$737$	−0.965518	−	1.32892i	−0.0355653	−	0.0489514i
$738$	−31.6924	+	9.40122i	−1.16661	+	0.346064i
$739$	19.9136	−	27.4088i	0.732535	−	1.00825i	−0.266478	−	0.963841i	$-0.585860\pi$
$739$	19.9136	−	27.4088i	0.732535	−	1.00825i	0.999014	−	0.0444072i	$-0.0141399\pi$
$740$	4.89918	+	41.6288i	0.180097	+	1.53031i
$741$	44.3589	+	2.84891i	1.62957	+	0.104657i
$742$	−2.11137	+	1.89255i	−0.0775108	+	0.0694778i
$743$	30.2559			1.10998			0.554990	−	0.831857i	$-0.312722\pi$
$743$	30.2559			1.10998			0.554990	+	0.831857i	$0.312722\pi$
$744$	3.40562	+	5.46265i	0.124856	+	0.200270i
$745$	5.09435	+	22.1218i	0.186642	+	0.810480i
$746$	−0.749549	+	3.48798i	−0.0274429	+	0.127704i
$747$	7.24333	−	3.95749i	0.265020	−	0.144797i
$748$	−7.85495	−	0.861122i	−0.287205	−	0.0314857i
$749$			11.8767i			0.433965i
$750$	18.0037	+	20.6365i	0.657404	+	0.753538i
$751$			12.7543i			0.465412i	0.972547	+	0.232706i	$0.0747580\pi$
$751$			12.7543i			0.465412i	−0.972547	+	0.232706i	$0.925242\pi$
$752$	21.4148	−	9.30589i	0.780919	−	0.339351i
$753$	3.55800	+	1.41408i	0.129661	+	0.0515320i
$754$	30.0580	+	6.45931i	1.09465	+	0.235234i
$755$	8.07950	+	35.0846i	0.294043	+	1.27686i
$756$	−8.26223	+	26.5590i	−0.300494	+	0.965940i
$757$	−11.9898			−0.435777			−0.217889	−	0.975974i	$-0.569917\pi$
$757$	−11.9898			−0.435777			−0.217889	+	0.975974i	$0.569917\pi$
$758$	26.1263	+	29.1470i	0.948950	+	1.05867i
$759$	2.08356	−	32.4421i	0.0756285	−	1.17757i
$760$	42.3186	+	18.3269i	1.53506	+	0.664788i
$761$	5.47624	−	7.53739i	0.198513	−	0.273230i	−0.698142	−	0.715959i	$-0.745990\pi$
$761$	5.47624	−	7.53739i	0.198513	−	0.273230i	0.896655	+	0.442729i	$0.145990\pi$
$762$	−8.39050	−	5.61755i	−0.303956	−	0.203502i
$763$	24.3926	+	33.5735i	0.883072	+	1.21544i
$764$	−1.45985	+	13.3164i	−0.0528156	+	0.481771i
$765$	7.69089	+	8.65671i	0.278065	+	0.312984i
$766$	−30.8047	+	3.16808i	−1.11302	+	0.114467i
$767$	−0.454814	+	1.39977i	−0.0164224	+	0.0505428i
$768$	−27.2310	−	5.14519i	−0.982614	−	0.185661i
$769$	5.08185	−	15.6403i	0.183256	−	0.564005i	−0.816658	−	0.577122i	$-0.804176\pi$
$769$	5.08185	−	15.6403i	0.183256	−	0.564005i	0.999914	+	0.0131176i	$0.00417559\pi$
$770$	19.3700	−	0.284073i	0.698047	−	0.0102373i
$771$	−8.26841	+	20.8043i	−0.297780	+	0.749249i
$772$	7.21316	−	7.93933i	0.259607	−	0.285743i
$773$	−12.8718	+	17.7165i	−0.462966	+	0.637219i	−0.975121	−	0.221675i	$-0.928848\pi$
$773$	−12.8718	+	17.7165i	−0.462966	+	0.637219i	0.512154	+	0.858893i	$0.328848\pi$
$774$	9.86581	+	3.48932i	0.354619	+	0.125421i
$775$	−6.50710	+	0.907181i	−0.233742	+	0.0325869i
$776$	−0.157490	+	23.4765i	−0.00565357	+	0.842757i
$777$	−10.7506	−	42.0986i	−0.385675	−	1.51028i
$778$	−1.07864	−	0.231794i	−0.0386710	−	0.00831020i
$779$	−17.5567	−	54.0339i	−0.629033	−	1.93596i
$780$	7.03882	−	26.3380i	0.252030	−	0.943050i
$781$	−0.0156279	+	0.0480978i	−0.000559211	+	0.00172107i
$782$	10.0479	−	17.3140i	0.359312	−	0.619146i
$783$	−21.8791	−	23.4824i	−0.781897	−	0.839191i
$784$	0.0624885	+	0.650453i	0.00223173	+	0.0232305i
$785$	36.8770	−	8.49226i	1.31620	−	0.303102i
$786$	−30.7395	−	8.70005i	−1.09644	−	0.310320i
$787$	−12.9415	−	17.8125i	−0.461315	−	0.634946i	0.513466	−	0.858110i	$-0.328361\pi$
$787$	−12.9415	−	17.8125i	−0.461315	−	0.634946i	−0.974781	+	0.223164i	$0.928361\pi$
$788$	14.3091	−	31.7558i	0.509740	−	1.13125i
$789$	24.6871	−	6.30427i	0.878885	−	0.224438i
$790$	26.6632	+	18.7808i	0.948633	+	0.668190i
$791$	0.703467	−	0.511099i	0.0250124	−	0.0181726i
$792$	2.61358	−	19.2449i	0.0928693	−	0.683838i
$793$	27.8023			0.987288
$794$	−27.5034	+	24.6531i	−0.976060	+	0.874904i
$795$	−2.86320	+	0.468540i	−0.101547	+	0.0166174i
$796$	0.818504	+	0.743640i	0.0290111	+	0.0263576i
$797$	−33.0154	+	10.7274i	−1.16947	+	0.379983i	−0.828444	−	0.560072i	$-0.810773\pi$
$797$	−33.0154	+	10.7274i	−1.16947	+	0.379983i	−0.341023	+	0.940055i	$0.610773\pi$
$798$	−45.9969	−	13.0183i	−1.62827	−	0.460842i
$799$			10.0764i			0.356477i
$800$	16.1032	−	23.2526i	0.569336	−	0.822105i
$801$	−33.9257	+	6.38001i	−1.19871	+	0.225427i
$802$	44.8337	−	19.8412i	1.58313	−	0.700618i
$803$	4.08812	+	12.5819i	0.144267	+	0.444007i
$804$	2.46146	−	0.348961i	0.0868090	−	0.0123069i
$805$	−19.2004	+	45.1639i	−0.676725	+	1.59182i
$806$	4.36546	+	4.87019i	0.153767	+	0.171545i
$807$	23.3760	+	19.3897i	0.822875	+	0.682551i
$808$	−7.30779	+	21.9881i	−0.257087	+	0.773537i
$809$	1.65996	+	2.28474i	0.0583611	+	0.0803272i	0.837200	−	0.546897i	$-0.184191\pi$
$809$	1.65996	+	2.28474i	0.0583611	+	0.0803272i	−0.778839	+	0.627224i	$0.784191\pi$
$810$	−21.7568	+	18.3478i	−0.764456	+	0.644675i
$811$	−4.51911	+	6.22003i	−0.158688	+	0.218415i	−0.880956	−	0.473198i	$-0.843099\pi$
$811$	−4.51911	+	6.22003i	−0.158688	+	0.218415i	0.722269	+	0.691613i	$0.243099\pi$
$812$	−30.1447	−	13.5831i	−1.05787	−	0.476674i
$813$	6.15440	+	0.395260i	0.215844	+	0.0138624i
$814$	12.2779	+	27.7435i	0.430341	+	0.972408i
$815$	7.85824	+	6.83869i	0.275262	+	0.239549i
$816$	6.71998	−	9.89290i	0.235246	−	0.346321i
$817$	−5.55775	+	17.1050i	−0.194441	+	0.598428i
$818$	0.820486	+	0.476157i	0.0286876	+	0.0166485i
$819$	−3.61499	+	28.0275i	−0.126318	+	0.979359i
$820$	−34.6067	+	4.07276i	−1.20852	+	0.142227i
$821$	27.3670	−	8.89206i	0.955113	−	0.310335i	0.210322	−	0.977632i	$-0.432549\pi$
$821$	27.3670	−	8.89206i	0.955113	−	0.310335i	0.744792	+	0.667297i	$0.232549\pi$
$822$	15.8743	−	12.4906i	0.553679	−	0.435658i
$823$	−17.2613	+	23.7581i	−0.601691	+	0.828156i	−0.995862	−	0.0908807i	$-0.971032\pi$
$823$	−17.2613	+	23.7581i	−0.601691	+	0.828156i	0.394171	+	0.919037i	$0.371032\pi$
$824$	−34.4166	−	0.230881i	−1.19896	−	0.00804313i
$825$	16.8579	+	10.4271i	0.586917	+	0.363026i
$826$	0.794484	−	1.36901i	0.0276436	−	0.0476339i
$827$	−22.8073	−	16.5705i	−0.793087	−	0.576211i	0.115791	−	0.993274i	$-0.463060\pi$
$827$	−22.8073	−	16.5705i	−0.793087	−	0.576211i	−0.908878	+	0.417062i	$0.863060\pi$
$828$	41.9034	+	25.7848i	1.45624	+	0.896085i
$829$	15.1460	+	46.6147i	0.526043	+	1.61900i	0.762243	+	0.647291i	$0.224098\pi$
$829$	15.1460	+	46.6147i	0.526043	+	1.61900i	−0.236200	+	0.971704i	$0.575902\pi$
$830$	8.23428	−	2.80963i	0.285816	−	0.0975236i
$831$	−15.9730	−	25.2421i	−0.554096	−	0.875637i
$832$	−28.1538	−	0.377753i	−0.976059	−	0.0130962i
$833$	−0.268192	−	0.0871410i	−0.00929231	−	0.00301926i
$834$	−23.5759	−	15.7844i	−0.816368	−	0.546570i
$835$	2.62615	−	29.8271i	0.0908815	−	1.03221i
$836$	33.1804	+	3.63750i	1.14757	+	0.125805i
$837$	−0.829240	−	6.77724i	−0.0286627	−	0.234256i
$838$	3.00990	−	0.309550i	0.103975	−	0.0106932i
$839$	−11.6872	−	8.49125i	−0.403487	−	0.293150i	0.367473	−	0.930034i	$-0.380223\pi$
$839$	−11.6872	−	8.49125i	−0.403487	−	0.293150i	−0.770960	+	0.636884i	$0.780223\pi$
$840$	−13.3519	+	26.1023i	−0.460684	+	0.900615i
$841$	7.40455	−	5.37972i	0.255329	−	0.185508i
$842$	8.13670	−	7.29344i	0.280409	−	0.251348i
$843$	10.1726	+	8.43790i	0.350364	+	0.290617i
$844$	−4.30144	−	20.6912i	−0.148062	−	0.712222i
$845$	−0.120177	+	1.36494i	−0.00413422	+	0.0469554i
$846$	−24.7576	−	0.638596i	−0.851182	−	0.0219554i
$847$	−14.6647	+	4.76486i	−0.503886	+	0.163722i
$848$	1.19423	+	2.74817i	0.0410099	+	0.0943726i
$849$	26.5854	+	22.0518i	0.912408	+	0.756816i
$850$	6.43358	+	10.3729i	0.220670	+	0.355786i
$851$	−76.8581			−2.63466
$852$	−0.0532358	−	0.0549945i	−0.00182383	−	0.00188408i
$853$	−7.31821	−	22.5231i	−0.250571	−	0.771177i	−0.994670	−	0.103108i	$-0.967121\pi$
$853$	−7.31821	−	22.5231i	−0.250571	−	0.771177i	0.744099	−	0.668069i	$-0.232879\pi$
$854$	−29.2324	−	6.28188i	−1.00031	−	0.214962i
$855$	−32.4874	−	36.5671i	−1.11104	−	1.25057i
$856$	11.9105	+	3.95850i	0.407094	+	0.135299i
$857$			49.4486i			1.68913i	0.535450	+	0.844567i	$0.320142\pi$
$857$			49.4486i			1.68913i	−0.535450	+	0.844567i	$0.679858\pi$
$858$	−0.756508	−	19.7179i	−0.0258267	−	0.673159i
$859$	20.9775	+	28.8731i	0.715744	+	0.985137i	0.999654	+	0.0262859i	$0.00836802\pi$
$859$	20.9775	+	28.8731i	0.715744	+	0.985137i	−0.283911	+	0.958851i	$0.591632\pi$
$860$	9.62071	+	5.39622i	0.328063	+	0.184010i
$861$	34.9972	−	8.93712i	1.19270	−	0.304576i
$862$	−47.2388	+	4.85823i	−1.60896	+	0.165472i
$863$	15.3400	−	11.1451i	0.522179	−	0.379385i	−0.295245	−	0.955422i	$-0.595401\pi$
$863$	15.3400	−	11.1451i	0.522179	−	0.379385i	0.817424	+	0.576036i	$0.195401\pi$
$864$	23.8808	+	17.1379i	0.812442	+	0.583042i
$865$	14.5819	−	34.3000i	0.495799	−	1.16624i
$866$	34.8886	−	3.58808i	1.18556	−	0.121928i
$867$	−12.9852	−	20.5204i	−0.440999	−	0.696911i
$868$	−3.48959	−	6.10706i	−0.118444	−	0.207287i
$869$	22.4503	+	7.29455i	0.761574	+	0.247451i
$870$	−18.5079	−	28.3202i	−0.627476	−	0.960145i
$871$	2.40224	−	0.780536i	0.0813969	−	0.0264474i
$872$	41.7992	−	13.2721i	1.41550	−	0.449448i
$873$	10.6611	−	22.5035i	0.360824	−	0.761628i
$874$	−42.4437	+	73.1365i	−1.43568	+	2.47388i
$875$	−18.7929	−	23.2862i	−0.635317	−	0.787216i
$876$	−19.7223	−	3.45307i	−0.666354	−	0.116668i
$877$	−9.85288	−	7.15854i	−0.332708	−	0.241727i	0.408871	−	0.912592i	$-0.365923\pi$
$877$	−9.85288	−	7.15854i	−0.332708	−	0.241727i	−0.741579	+	0.670866i	$0.765923\pi$
$878$	−1.81282	−	0.389566i	−0.0611797	−	0.0131472i
$879$	−6.86885	+	17.2829i	−0.231681	+	0.582936i
$880$	6.17113	−	19.5199i	0.208029	−	0.658015i
$881$	44.9052	+	14.5906i	1.51289	+	0.491569i	0.943747	−	0.330668i	$-0.107274\pi$
$881$	44.9052	+	14.5906i	1.51289	+	0.491569i	0.569146	+	0.822236i	$0.307274\pi$
$882$	0.231101	−	0.653422i	0.00778157	−	0.0220019i
$883$	14.3659	+	4.66775i	0.483450	+	0.157082i	0.540594	−	0.841284i	$-0.318200\pi$
$883$	14.3659	+	4.66775i	0.483450	+	0.157082i	−0.0571443	+	0.998366i	$0.518200\pi$
$884$	4.99178	−	11.0781i	0.167892	−	0.372598i
$885$	1.43929	−	0.742672i	0.0483813	−	0.0249646i
$886$	3.09561	+	6.99491i	0.103999	+	0.234999i
$887$	15.6304	−	11.3562i	0.524817	−	0.381302i	−0.293598	−	0.955929i	$-0.594853\pi$
$887$	15.6304	−	11.3562i	0.524817	−	0.381302i	0.818416	+	0.574627i	$0.194853\pi$
$888$	−45.8016	−	3.25022i	−1.53700	−	0.109070i
$889$	8.92585	+	6.48501i	0.299363	+	0.217500i
$890$	−36.3838	+	0.533590i	−1.21959	+	0.0178860i
$891$	−11.1284	+	17.3351i	−0.372817	+	0.580747i
$892$	−0.139911	−	0.673018i	−0.00468458	−	0.0225343i
$893$		−	42.5641i		−	1.42435i
$894$	−24.8492	+	0.953377i	−0.831082	+	0.0318857i
$895$	24.4050	+	40.6676i	0.815769	+	1.35937i
$896$	29.5167	+	6.75850i	0.986082	+	0.225786i
$897$	46.4542	+	18.4626i	1.55106	+	0.616449i
$898$	6.44744	−	2.85333i	0.215154	−	0.0952168i
$899$	8.11633			0.270695
$900$	−25.8937	+	15.1498i	−0.863122	+	0.504995i
$901$	−1.29311			−0.0430796
$902$	−23.0636	+	10.2068i	−0.767933	+	0.339850i
$903$	−10.6258	−	4.22310i	−0.353605	−	0.140536i
$904$	−0.278090	−	0.875820i	−0.00924913	−	0.0291293i
$905$	−3.48386	+	39.5688i	−0.115807	+	1.31531i
$906$	−39.4102	+	1.51203i	−1.30932	+	0.0502339i
$907$			7.35888i			0.244348i	0.992509	+	0.122174i	$0.0389865\pi$
$907$			7.35888i			0.244348i	−0.992509	+	0.122174i	$0.961013\pi$
$908$	24.8261	−	5.16101i	0.823882	−	0.171274i
$909$	16.8702	−	17.8713i	0.559550	−	0.592754i
$910$	−8.78866	+	28.4623i	−0.291341	+	0.943515i
$911$	2.85291	+	2.07276i	0.0945212	+	0.0686737i	0.634042	−	0.773299i	$-0.281395\pi$
$911$	2.85291	+	2.07276i	0.0945212	+	0.0686737i	−0.539521	+	0.841972i	$0.681395\pi$
$912$	−28.3861	+	41.7890i	−0.939958	+	1.38377i
$913$	5.09467	−	3.70149i	0.168609	−	0.122502i
$914$	−16.5538	−	37.4053i	−0.547550	−	1.23726i
$915$	−21.7440	−	21.5222i	−0.718833	−	0.711503i
$916$	51.0025	+	22.9816i	1.68517	+	0.759334i
$917$	33.1985	+	10.7868i	1.09631	+	0.356213i
$918$	−10.8904	+	6.50427i	−0.359436	+	0.214673i
$919$	−32.2887	−	10.4912i	−1.06511	−	0.346074i	−0.276526	−	0.961007i	$-0.589183\pi$
$919$	−32.2887	−	10.4912i	−1.06511	−	0.346074i	−0.788579	+	0.614933i	$0.789183\pi$
$920$	38.8931	+	34.3082i	1.28227	+	1.13111i
$921$	−16.4763	+	41.4564i	−0.542913	+	1.36603i
$922$	−28.4866	−	6.12161i	−0.938155	−	0.201605i
$923$	−0.0629137	−	0.0457095i	−0.00207083	−	0.00150455i
$924$	−3.65981	+	20.9031i	−0.120399	+	0.687661i
$925$	22.0469	−	41.3538i	0.724897	−	1.35970i
$926$	0.440173	−	0.758480i	0.0144650	−	0.0249252i
$927$	32.9902	+	15.6292i	1.08354	+	0.513332i
$928$	−23.6690	+	25.7033i	−0.776973	+	0.843752i
$929$	9.72721	−	3.16056i	0.319139	−	0.103695i	−0.145067	−	0.989422i	$-0.546340\pi$
$929$	9.72721	−	3.16056i	0.319139	−	0.103695i	0.464206	+	0.885727i	$0.346340\pi$
$930$	0.355906	−	7.18831i	0.0116706	−	0.235714i
$931$	1.13288	+	0.368095i	0.0371287	+	0.0120638i
$932$	−4.76952	+	2.72532i	−0.156231	+	0.0892707i
$933$	−12.2169	−	19.3063i	−0.399963	−	0.632061i
$934$	−58.4886	+	6.01520i	−1.91381	+	0.196823i
$935$	6.66444	+	5.79978i	0.217950	+	0.189673i
$936$	26.9024	+	12.9668i	0.879334	+	0.423834i
$937$	16.6808	−	12.1193i	0.544937	−	0.395920i	−0.280978	−	0.959714i	$-0.590659\pi$
$937$	16.6808	−	12.1193i	0.544937	−	0.395920i	0.825915	+	0.563794i	$0.190659\pi$
$938$	−2.70217	+	0.277902i	−0.0882289	+	0.00907381i
$939$	47.9842	−	12.2536i	1.56591	−	0.399880i
$940$	−25.6005	−	5.10985i	−0.834995	−	0.166665i
$941$	26.9663	+	37.1159i	0.879077	+	1.20995i	0.976676	+	0.214720i	$0.0688837\pi$
$941$	26.9663	+	37.1159i	0.879077	+	1.20995i	−0.0975990	+	0.995226i	$0.531116\pi$
$942$	1.58928	+	41.4235i	0.0517814	+	1.34965i
$943$		−	63.8934i		−	2.08066i
$944$	−1.10811	−	1.25304i	−0.0360658	−	0.0407829i
$945$	24.5238	−	19.1216i	0.797759	−	0.622027i
$946$	7.80584	+	1.67743i	0.253790	+	0.0545381i
$947$	−1.98218	−	6.10053i	−0.0644123	−	0.198241i	0.913671	−	0.406454i	$-0.133235\pi$
$947$	−1.98218	−	6.10053i	−0.0644123	−	0.198241i	−0.978083	+	0.208214i	$0.933235\pi$
$948$	−25.6695	+	24.8485i	−0.833705	+	0.807043i
$949$	−20.3428			−0.660354
$950$	−27.1763	−	43.8163i	−0.881717	−	1.42159i
$951$	−5.80931	−	4.81865i	−0.188380	−	0.156256i
$952$	−7.75163	+	10.5201i	−0.251232	+	0.340957i
$953$	23.3075	−	7.57306i	0.755004	−	0.245316i	0.0938709	−	0.995584i	$-0.470076\pi$
$953$	23.3075	−	7.57306i	0.755004	−	0.245316i	0.661133	+	0.750269i	$0.270076\pi$
$954$	0.0819512	−	3.17714i	0.00265327	−	0.102864i
$955$	9.83230	−	11.2982i	0.318166	−	0.365600i
$956$	−1.95882	+	0.407213i	−0.0633528	+	0.0131702i
$957$	−18.8474	−	15.6334i	−0.609250	−	0.505355i
$958$	9.53532	−	8.54711i	0.308072	−	0.276145i
$959$	−17.8556	+	12.9728i	−0.576587	+	0.418915i
$960$	21.7265	+	22.0898i	0.701219	+	0.712946i
$961$	−23.6827	−	17.2065i	−0.763957	−	0.555047i
$962$	−46.4070	+	4.77268i	−1.49622	+	0.153877i
$963$	−9.68057	−	9.13829i	−0.311952	−	0.294477i
$964$	−3.38644	+	30.8903i	−0.109070	+	0.994910i
$965$	−11.6870	+	2.69134i	−0.376216	+	0.0866375i
$966$	−44.6721	−	29.9086i	−1.43730	−	0.962292i
$967$	4.98257	+	1.61894i	0.160229	+	0.0520615i	0.388033	−	0.921645i	$-0.373155\pi$
$967$	4.98257	+	1.61894i	0.160229	+	0.0520615i	−0.227804	+	0.973707i	$0.573155\pi$
$968$	−0.109311	+	16.2946i	−0.00351339	+	0.523729i
$969$	−11.6576	−	18.4224i	−0.374495	−	0.591814i
$970$	15.1152	−	21.4591i	0.485320	−	0.689011i
$971$	−12.3524	−	38.0167i	−0.396407	−	1.22002i	−0.927860	−	0.372928i	$-0.878354\pi$
$971$	−12.3524	−	38.0167i	−0.396407	−	1.22002i	0.531453	−	0.847088i	$-0.321646\pi$
$972$	−15.2907	−	27.1697i	−0.490450	−	0.871469i
$973$	25.0802	+	18.2218i	0.804035	+	0.584165i
$974$	−10.6257	+	18.3095i	−0.340468	+	0.586675i
$975$	−23.2594	+	19.6988i	−0.744895	+	0.630867i
$976$	−16.0429	+	27.2219i	−0.513521	+	0.871352i
$977$	8.62708	−	11.8742i	0.276005	−	0.379888i	−0.648401	−	0.761299i	$-0.724562\pi$
$977$	8.62708	−	11.8742i	0.276005	−	0.379888i	0.924405	+	0.381411i	$0.124562\pi$
$978$	−8.96819	+	7.05655i	−0.286771	+	0.225644i
$979$	−25.0483	+	8.13870i	−0.800548	+	0.260114i
$980$	0.357397	−	0.637189i	0.0114166	−	0.0203543i
$981$	−46.1338	−	5.95035i	−1.47294	−	0.189980i
$982$	21.5562	+	12.5098i	0.687885	+	0.399204i
$983$	16.5544	−	50.9493i	0.528004	−	1.62503i	−0.230294	−	0.973121i	$-0.573969\pi$
$983$	16.5544	−	50.9493i	0.528004	−	1.62503i	0.758298	−	0.651908i	$-0.226031\pi$
$984$	2.70196	−	38.0756i	0.0861355	−	1.21381i
$985$	−33.3908	+	20.0381i	−1.06392	+	0.638468i
$986$	−6.10227	−	13.7888i	−0.194336	−	0.439126i
$987$	27.0048	+	1.73436i	0.859573	+	0.0552052i
$988$	−21.0860	+	46.7955i	−0.670834	+	1.48876i
$989$	−11.8886	+	16.3633i	−0.378037	+	0.520323i
$990$	−14.6723	+	16.0069i	−0.466317	+	0.508731i
$991$	−16.4909	−	22.6978i	−0.523851	−	0.721019i	0.462327	−	0.886710i	$-0.347015\pi$
$991$	−16.4909	−	22.6978i	−0.523851	−	0.721019i	−0.986178	+	0.165690i	$0.947015\pi$
$992$	−7.28754	+	1.46405i	−0.231380	+	0.0464837i
$993$	−34.4365	−	28.5640i	−1.09281	−	0.906452i
$994$	0.0558218	+	0.0622759i	0.00177056	+	0.00197527i
$995$	−0.277464	−	1.20487i	−0.00879619	−	0.0381968i
$996$	1.33781	+	9.43648i	0.0423901	+	0.299006i
$997$	−10.2685	−	31.6032i	−0.325206	−	1.00088i	−0.971347	−	0.237664i	$-0.923618\pi$
$997$	−10.2685	−	31.6032i	−0.325206	−	1.00088i	0.646141	−	0.763218i	$-0.276382\pi$
$998$	48.6983	−	21.5515i	1.54152	−	0.682202i
$999$	42.5859	+	23.6292i	1.34736	+	0.747596i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	300.2.n.a.191.35	yes	224
3.2	odd	2	inner	300.2.n.a.191.22	yes	224
4.3	odd	2	inner	300.2.n.a.191.2	yes	224
12.11	even	2	inner	300.2.n.a.191.55	yes	224
25.11	even	5	inner	300.2.n.a.11.55	yes	224
75.11	odd	10	inner	300.2.n.a.11.2	✓	224
100.11	odd	10	inner	300.2.n.a.11.22	yes	224
300.11	even	10	inner	300.2.n.a.11.35	yes	224

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
300.2.n.a.11.2	✓	224	75.11	odd	10	inner
300.2.n.a.11.22	yes	224	100.11	odd	10	inner
300.2.n.a.11.35	yes	224	300.11	even	10	inner
300.2.n.a.11.55	yes	224	25.11	even	5	inner
300.2.n.a.191.2	yes	224	4.3	odd	2	inner
300.2.n.a.191.22	yes	224	3.2	odd	2	inner
300.2.n.a.191.35	yes	224	1.1	even	1	trivial
300.2.n.a.191.55	yes	224	12.11	even	2	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)

\(f(q)\)	\(=\)	\(q+(0.572322 + 1.29323i) q^{2} +(1.60959 + 0.639710i) q^{3} +(-1.34489 + 1.48029i) q^{4} +(2.17904 - 0.501802i) q^{5} +(0.0939092 + 2.44769i) q^{6} -2.67645i q^{7} +(-2.68407 - 0.892058i) q^{8} +(2.18154 + 2.05934i) q^{9} +O(q^{10})\)	\(q+(0.572322 + 1.29323i) q^{2} +(1.60959 + 0.639710i) q^{3} +(-1.34489 + 1.48029i) q^{4} +(2.17904 - 0.501802i) q^{5} +(0.0939092 + 2.44769i) q^{6} -2.67645i q^{7} +(-2.68407 - 0.892058i) q^{8} +(2.18154 + 2.05934i) q^{9} +(1.89606 + 2.53080i) q^{10} +(1.85172 + 1.34535i) q^{11} +(-3.11168 + 1.52231i) q^{12} +(-2.84737 + 2.06874i) q^{13} +(3.46126 - 1.53179i) q^{14} +(3.82836 + 0.586257i) q^{15} +(-0.382516 - 3.98167i) q^{16} +(1.64171 + 0.533423i) q^{17} +(-1.41466 + 3.99984i) q^{18} +(-6.93479 - 2.25325i) q^{19} +(-2.18776 + 3.90047i) q^{20} +(1.71215 - 4.30797i) q^{21} +(-0.680074 + 3.16468i) q^{22} +(-6.63409 - 4.81995i) q^{23} +(-3.74959 - 3.15287i) q^{24} +(4.49639 - 2.18689i) q^{25} +(-4.30497 - 2.49833i) q^{26} +(2.19400 + 4.71024i) q^{27} +(3.96192 + 3.59954i) q^{28} +(-5.87446 + 1.90873i) q^{29} +(1.43289 + 5.28648i) q^{30} +(-1.24970 - 0.406051i) q^{31} +(4.93030 - 2.77348i) q^{32} +(2.11987 + 3.35003i) q^{33} +(0.249746 + 2.42840i) q^{34} +(-1.34305 - 5.83207i) q^{35} +(-5.98236 + 0.459721i) q^{36} +(7.58270 - 5.50915i) q^{37} +(-1.05496 - 10.2579i) q^{38} +(-5.90649 + 1.50832i) q^{39} +(-6.29632 - 0.596954i) q^{40} +(4.57985 + 6.30362i) q^{41} +(6.55111 - 0.251343i) q^{42} -2.46655i q^{43} +(-4.48189 + 0.931724i) q^{44} +(5.78704 + 3.39267i) q^{45} +(2.43647 - 11.3380i) q^{46} +(1.80384 + 5.55165i) q^{47} +(1.93142 - 6.65354i) q^{48} -0.163362 q^{49} +(5.40153 + 4.56327i) q^{50} +(2.30123 + 1.90881i) q^{51} +(0.767086 - 6.99717i) q^{52} +(-0.712445 + 0.231487i) q^{53} +(-4.83575 + 5.53313i) q^{54} +(4.71007 + 2.00238i) q^{55} +(-2.38754 + 7.18377i) q^{56} +(-9.72073 - 8.06306i) q^{57} +(-5.83051 - 6.50463i) q^{58} +(0.338315 - 0.245801i) q^{59} +(-6.01657 + 4.87862i) q^{60} +(-6.39074 - 4.64315i) q^{61} +(-0.190111 - 1.84854i) q^{62} +(5.51171 - 5.83878i) q^{63} +(6.40847 + 4.78869i) q^{64} +(-5.16643 + 5.93667i) q^{65} +(-3.11912 + 4.65878i) q^{66} +(-0.682543 - 0.221772i) q^{67} +(-2.99754 + 1.71280i) q^{68} +(-7.59478 - 12.0020i) q^{69} +(6.77356 - 5.07469i) q^{70} +(0.00682784 + 0.0210139i) q^{71} +(-4.01836 - 7.47347i) q^{72} +(4.67607 + 3.39736i) q^{73} +(11.4644 + 6.65317i) q^{74} +(8.63631 - 0.643600i) q^{75} +(12.6620 - 7.23512i) q^{76} +(3.60077 - 4.95603i) q^{77} +(-5.33102 - 6.77521i) q^{78} +(9.80854 - 3.18699i) q^{79} +(-2.83152 - 8.48425i) q^{80} +(0.518252 + 8.98507i) q^{81} +(-5.53089 + 9.53050i) q^{82} +(0.850203 - 2.61666i) q^{83} +(4.07439 + 8.32825i) q^{84} +(3.84501 + 0.338536i) q^{85} +(3.18982 - 1.41166i) q^{86} +(-10.6765 - 0.685687i) q^{87} +(-3.77002 - 5.26287i) q^{88} +(-6.76353 + 9.30919i) q^{89} +(-1.07546 + 9.42568i) q^{90} +(5.53687 + 7.62084i) q^{91} +(16.0571 - 3.33805i) q^{92} +(-1.75174 - 1.45302i) q^{93} +(-6.14719 + 5.51012i) q^{94} +(-16.2418 - 1.43002i) q^{95} +(9.70996 - 1.31020i) q^{96} +(-2.56496 - 7.89413i) q^{97} +(-0.0934956 - 0.211265i) q^{98} +(1.26907 + 6.74827i) 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

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Representations

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Database

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