LMFDB - Embedded newform 600.2.bk.a.59.20

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [600,2,Mod(59,600)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(600, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([5, 5, 5, 7]))

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

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

chi := DirichletCharacter("600.59");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 600 = 2^{3} \cdot 3 \cdot 5^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	600.bk (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:	$4.79102412128$
Analytic rank:	$0$
Dimension:	$464$
Relative dimension:	$116$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			59.20
Character	$\chi$	$=$	600.59
Dual form			600.2.bk.a.539.20

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.20643 - 0.737927i) q^{2} +(1.51281 - 0.843447i) q^{3} +(0.910928 + 1.78051i) q^{4} +(1.90067 - 1.17790i) q^{5} +(-2.44750 - 0.0987875i) q^{6} +1.56189 q^{7} +(0.214918 - 2.82025i) q^{8} +(1.57719 - 2.55195i) q^{9} +O(q^{10})$	\(q+(-1.20643 - 0.737927i) q^{2} +(1.51281 - 0.843447i) q^{3} +(0.910928 + 1.78051i) q^{4} +(1.90067 - 1.17790i) q^{5} +(-2.44750 - 0.0987875i) q^{6} +1.56189 q^{7} +(0.214918 - 2.82025i) q^{8} +(1.57719 - 2.55195i) q^{9} +(-3.16222 + 0.0184939i) q^{10} +(1.14651 - 1.57803i) q^{11} +(2.87983 + 1.92525i) q^{12} +(-1.94136 + 1.41048i) q^{13} +(-1.88430 - 1.15256i) q^{14} +(1.88186 - 3.38506i) q^{15} +(-2.34042 + 3.24383i) q^{16} +(0.00572900 - 0.0176320i) q^{17} +(-3.78592 + 1.91489i) q^{18} +(0.636179 - 1.95796i) q^{19} +(3.82864 + 2.31118i) q^{20} +(2.36284 - 1.31737i) q^{21} +(-2.54765 + 1.05774i) q^{22} +(-4.12198 + 5.67342i) q^{23} +(-2.05360 - 4.44778i) q^{24} +(2.22510 - 4.47760i) q^{25} +(3.38294 - 0.269059i) q^{26} +(0.233562 - 5.19090i) q^{27} +(1.42277 + 2.78095i) q^{28} +(0.542170 + 1.66863i) q^{29} +(-4.76825 + 2.69515i) q^{30} +(6.09046 + 1.97891i) q^{31} +(5.21725 - 2.18638i) q^{32} +(0.403463 - 3.35428i) q^{33} +(-0.0199228 + 0.0170442i) q^{34} +(2.96863 - 1.83975i) q^{35} +(5.98048 + 0.483564i) q^{36} +(-6.20429 + 4.50768i) q^{37} +(-2.21233 + 1.89268i) q^{38} +(-1.74725 + 3.77123i) q^{39} +(-2.91349 - 5.61352i) q^{40} +(2.82163 + 3.88365i) q^{41} +(-3.82271 - 0.154295i) q^{42} -4.53790i q^{43} +(3.85409 + 0.603893i) q^{44} +(-0.00821732 - 6.70820i) q^{45} +(9.15943 - 3.80284i) q^{46} +(3.20735 - 1.04213i) q^{47} +(-0.804616 + 6.88132i) q^{48} -4.56051 q^{49} +(-5.98856 + 3.75994i) q^{50} +(-0.00620480 - 0.0315061i) q^{51} +(-4.27981 - 2.17176i) q^{52} +(-9.85574 + 3.20232i) q^{53} +(-4.11228 + 6.09009i) q^{54} +(0.320369 - 4.34979i) q^{55} +(0.335677 - 4.40491i) q^{56} +(-0.689014 - 3.49860i) q^{57} +(0.577237 - 2.41316i) q^{58} +(0.814794 + 1.12147i) q^{59} +(7.74136 + 0.267125i) q^{60} +(7.29104 - 10.0353i) q^{61} +(-5.88740 - 6.88173i) q^{62} +(2.46340 - 3.98586i) q^{63} +(-7.90762 - 1.21224i) q^{64} +(-2.02848 + 4.96759i) q^{65} +(-2.96196 + 3.74897i) q^{66} +(-0.770226 - 0.250262i) q^{67} +(0.0366127 - 0.00586099i) q^{68} +(-1.45055 + 12.0595i) q^{69} +(-4.93903 + 0.0288853i) q^{70} +(-0.412482 - 1.26949i) q^{71} +(-6.85817 - 4.99654i) q^{72} +(-0.892548 + 1.22849i) q^{73} +(10.8114 - 0.859872i) q^{74} +(-0.410464 - 8.65052i) q^{75} +(4.06567 - 0.650836i) q^{76} +(1.79072 - 2.46471i) q^{77} +(4.89081 - 3.26037i) q^{78} +(-9.36404 + 3.04256i) q^{79} +(-0.627461 + 8.92224i) q^{80} +(-4.02491 - 8.04985i) q^{81} +(-0.538246 - 6.76749i) q^{82} +(2.84404 - 8.75306i) q^{83} +(4.49796 + 3.00703i) q^{84} +(-0.00987986 - 0.0402609i) q^{85} +(-3.34864 + 5.47465i) q^{86} +(2.22760 + 2.06703i) q^{87} +(-4.20404 - 3.57259i) q^{88} +(-5.71341 + 7.86384i) q^{89} +(-4.94025 + 8.09901i) q^{90} +(-3.03219 + 2.20301i) q^{91} +(-13.8564 - 2.17114i) q^{92} +(10.8828 - 2.14326i) q^{93} +(-4.63844 - 1.10953i) q^{94} +(-1.09711 - 4.47079i) q^{95} +(6.04862 - 7.70806i) q^{96} +(-3.47931 + 1.13050i) q^{97} +(5.50192 + 3.36532i) q^{98} +(-2.21880 - 5.41470i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 464 q - 10 q^{3} - 6 q^{4} + q^{6} - 6 q^{9}+O(q^{10}) $ 464 * q - 10 * q^3 - 6 * q^4 + q^6 - 6 * q^9	$ 464 q - 10 q^{3} - 6 q^{4} + q^{6} - 6 q^{9} - 16 q^{10} - 5 q^{12} - 18 q^{16} - 12 q^{19} - 10 q^{22} + 12 q^{24} - 16 q^{25} - 10 q^{27} - 50 q^{28} - 21 q^{30} - 10 q^{33} - 14 q^{34} - 25 q^{36} - 32 q^{40} + 15 q^{42} - 34 q^{46} - 70 q^{48} + 336 q^{49} - 4 q^{51} - 60 q^{52} + 40 q^{54} - 70 q^{58} - 50 q^{60} - 30 q^{64} + 28 q^{66} - 20 q^{67} - 16 q^{70} - 5 q^{72} - 20 q^{73} - 42 q^{75} - 48 q^{76} + 75 q^{78} - 6 q^{81} - 76 q^{84} - 70 q^{88} + 66 q^{90} - 96 q^{91} - 108 q^{94} - 50 q^{96} - 60 q^{97} - 52 q^{99}+O(q^{100}) $ 464 * q - 10 * q^3 - 6 * q^4 + q^6 - 6 * q^9 - 16 * q^10 - 5 * q^12 - 18 * q^16 - 12 * q^19 - 10 * q^22 + 12 * q^24 - 16 * q^25 - 10 * q^27 - 50 * q^28 - 21 * q^30 - 10 * q^33 - 14 * q^34 - 25 * q^36 - 32 * q^40 + 15 * q^42 - 34 * q^46 - 70 * q^48 + 336 * q^49 - 4 * q^51 - 60 * q^52 + 40 * q^54 - 70 * q^58 - 50 * q^60 - 30 * q^64 + 28 * q^66 - 20 * q^67 - 16 * q^70 - 5 * q^72 - 20 * q^73 - 42 * q^75 - 48 * q^76 + 75 * q^78 - 6 * q^81 - 76 * q^84 - 70 * q^88 + 66 * q^90 - 96 * q^91 - 108 * q^94 - 50 * q^96 - 60 * q^97 - 52 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/600\mathbb{Z}\right)^\times$.

$n$	$151$	$301$	$401$	$577$
$\chi(n)$	$-1$	$-1$	$-1$	$e\left(\frac{7}{10}\right)$

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 $

$2$	−1.20643	−	0.737927i	−0.853072	−	0.521793i
$2$	−1.20643	−	0.737927i	−0.853072	−	0.521793i
$3$	1.51281	−	0.843447i	0.873422	−	0.486964i
$3$	1.51281	−	0.843447i	0.873422	−	0.486964i
$4$	0.910928	+	1.78051i	0.455464	+	0.890254i
$5$	1.90067	−	1.17790i	0.850006	−	0.526773i
$5$	1.90067	−	1.17790i	0.850006	−	0.526773i
$6$	−2.44750	−	0.0987875i	−0.999186	−	0.0403298i
$7$	1.56189			0.590338			0.295169	−	0.955445i	$-0.404624\pi$
$7$	1.56189			0.590338			0.295169	+	0.955445i	$0.404624\pi$
$8$	0.214918	−	2.82025i	0.0759849	−	0.997109i
$9$	1.57719	−	2.55195i	0.525732	−	0.850651i
$10$	−3.16222	+	0.0184939i	−0.999983	+	0.00584827i
$11$	1.14651	−	1.57803i	0.345685	−	0.475795i	−0.600406	−	0.799695i	$-0.704994\pi$
$11$	1.14651	−	1.57803i	0.345685	−	0.475795i	0.946091	+	0.323901i	$0.104994\pi$
$12$	2.87983	+	1.92525i	0.831334	+	0.555773i
$13$	−1.94136	+	1.41048i	−0.538437	+	0.391197i	−0.823504	−	0.567310i	$-0.807984\pi$
$13$	−1.94136	+	1.41048i	−0.538437	+	0.391197i	0.285067	+	0.958507i	$0.407984\pi$
$14$	−1.88430	−	1.15256i	−0.503601	−	0.308034i
$15$	1.88186	−	3.38506i	0.485894	−	0.874018i
$16$	−2.34042	+	3.24383i	−0.585105	+	0.810957i
$17$	0.00572900	−	0.0176320i	0.00138949	−	0.00427640i	−0.950359	−	0.311154i	$-0.899284\pi$
$17$	0.00572900	−	0.0176320i	0.00138949	−	0.00427640i	0.951749	+	0.306878i	$0.0992844\pi$
$18$	−3.78592	+	1.91489i	−0.892350	+	0.451343i
$19$	0.636179	−	1.95796i	0.145949	−	0.449186i	−0.851182	−	0.524870i	$-0.824114\pi$
$19$	0.636179	−	1.95796i	0.145949	−	0.449186i	0.997132	+	0.0756839i	$0.0241140\pi$
$20$	3.82864	+	2.31118i	0.856109	+	0.516795i
$21$	2.36284	−	1.31737i	0.515614	−	0.287473i
$22$	−2.54765	+	1.05774i	−0.543161	+	0.225511i
$23$	−4.12198	+	5.67342i	−0.859492	+	1.18299i	0.122198	+	0.992506i	$0.461006\pi$
$23$	−4.12198	+	5.67342i	−0.859492	+	1.18299i	−0.981690	+	0.190484i	$0.938994\pi$
$24$	−2.05360	−	4.44778i	−0.419190	−	0.907899i
$25$	2.22510	−	4.47760i	0.445020	−	0.895521i
$26$	3.38294	−	0.269059i	0.663449	−	0.0527668i
$27$	0.233562	−	5.19090i	0.0449490	−	0.998989i
$28$	1.42277	+	2.78095i	0.268878	+	0.525551i
$29$	0.542170	+	1.66863i	0.100678	+	0.309856i	0.988692	−	0.149961i	$-0.0479148\pi$
$29$	0.542170	+	1.66863i	0.100678	+	0.309856i	−0.888013	+	0.459818i	$0.847915\pi$
$30$	−4.76825	+	2.69515i	−0.870559	+	0.492064i
$31$	6.09046	+	1.97891i	1.09388	+	0.355423i	0.799744	−	0.600341i	$-0.204968\pi$
$31$	6.09046	+	1.97891i	1.09388	+	0.355423i	0.294135	+	0.955764i	$0.404968\pi$
$32$	5.21725	−	2.18638i	0.922289	−	0.386501i
$33$	0.403463	−	3.35428i	0.0702339	−	0.583906i
$34$	−0.0199228	+	0.0170442i	−0.00341673	+	0.00292305i
$35$	2.96863	−	1.83975i	0.501791	−	0.310974i
$36$	5.98048	+	0.483564i	0.996747	+	0.0805941i
$37$	−6.20429	+	4.50768i	−1.01998	+	0.741058i	−0.966279	−	0.257499i	$-0.917102\pi$
$37$	−6.20429	+	4.50768i	−1.01998	+	0.741058i	−0.0537008	+	0.998557i	$0.517102\pi$
$38$	−2.21233	+	1.89268i	−0.358887	+	0.307033i
$39$	−1.74725	+	3.77123i	−0.279783	+	0.603880i
$40$	−2.91349	−	5.61352i	−0.460663	−	0.887575i
$41$	2.82163	+	3.88365i	0.440665	+	0.606523i	0.970360	−	0.241665i	$-0.0776935\pi$
$41$	2.82163	+	3.88365i	0.440665	+	0.606523i	−0.529695	+	0.848188i	$0.677693\pi$
$42$	−3.82271	−	0.154295i	−0.589857	−	0.0238082i
$43$		−	4.53790i		−	0.692024i	−0.938230	−	0.346012i	$-0.887536\pi$
$43$		−	4.53790i		−	0.692024i	0.938230	−	0.346012i	$-0.112464\pi$
$44$	3.85409	+	0.603893i	0.581025	+	0.0910403i
$45$	−0.00821732	−	6.70820i	−0.00122497	−	0.999999i
$46$	9.15943	−	3.80284i	1.35048	−	0.560698i
$47$	3.20735	−	1.04213i	0.467839	−	0.152010i	−0.0656045	−	0.997846i	$-0.520898\pi$
$47$	3.20735	−	1.04213i	0.467839	−	0.152010i	0.533444	+	0.845835i	$0.320898\pi$
$48$	−0.804616	+	6.88132i	−0.116136	+	0.993233i
$49$	−4.56051			−0.651501
$50$	−5.98856	+	3.75994i	−0.846911	+	0.531735i
$51$	−0.00620480	−	0.0315061i	−0.000868846	−	0.00441173i
$52$	−4.27981	−	2.17176i	−0.593503	−	0.301169i
$53$	−9.85574	+	3.20232i	−1.35379	+	0.439873i	−0.893965	−	0.448137i	$-0.852088\pi$
$53$	−9.85574	+	3.20232i	−1.35379	+	0.439873i	−0.459825	+	0.888010i	$0.652088\pi$
$54$	−4.11228	+	6.09009i	−0.559610	+	0.828756i
$55$	0.320369	−	4.34979i	0.0431985	−	0.586526i
$56$	0.335677	−	4.40491i	0.0448568	−	0.588631i
$57$	−0.689014	−	3.49860i	−0.0912622	−	0.463401i
$58$	0.577237	−	2.41316i	0.0757950	−	0.316863i
$59$	0.814794	+	1.12147i	0.106077	+	0.146003i	0.858755	−	0.512386i	$-0.171238\pi$
$59$	0.814794	+	1.12147i	0.106077	+	0.146003i	−0.752678	+	0.658389i	$0.771238\pi$
$60$	7.74136	+	0.267125i	0.999405	+	0.0344856i
$61$	7.29104	−	10.0353i	0.933522	−	1.28488i	−0.0249482	−	0.999689i	$-0.507942\pi$
$61$	7.29104	−	10.0353i	0.933522	−	1.28488i	0.958470	−	0.285194i	$-0.0920579\pi$
$62$	−5.88740	−	6.88173i	−0.747701	−	0.873980i
$63$	2.46340	−	3.98586i	0.310359	−	0.502171i
$64$	−7.90762	−	1.21224i	−0.988453	−	0.151530i
$65$	−2.02848	+	4.96759i	−0.251602	+	0.616154i
$66$	−2.96196	+	3.74897i	−0.364593	+	0.461466i
$67$	−0.770226	−	0.250262i	−0.0940981	−	0.0305743i	0.261590	−	0.965179i	$-0.415753\pi$
$67$	−0.770226	−	0.250262i	−0.0940981	−	0.0305743i	−0.355688	+	0.934605i	$0.615753\pi$
$68$	0.0366127	−	0.00586099i	0.00443994	−	0.000710750i
$69$	−1.45055	+	12.0595i	−0.174626	+	1.45179i
$70$	−4.93903	+	0.0288853i	−0.590328	+	0.00345245i
$71$	−0.412482	−	1.26949i	−0.0489526	−	0.150661i	0.923592	−	0.383376i	$-0.125239\pi$
$71$	−0.412482	−	1.26949i	−0.0489526	−	0.150661i	−0.972545	+	0.232716i	$0.925239\pi$
$72$	−6.85817	−	4.99654i	−0.808244	−	0.588848i
$73$	−0.892548	+	1.22849i	−0.104465	+	0.143784i	−0.858049	−	0.513568i	$-0.828323\pi$
$73$	−0.892548	+	1.22849i	−0.104465	+	0.143784i	0.753584	+	0.657352i	$0.228323\pi$
$74$	10.8114	−	0.859872i	1.25680	−	0.0999580i
$75$	−0.410464	−	8.65052i	−0.0473963	−	0.998876i
$76$	4.06567	−	0.650836i	0.466364	−	0.0746560i
$77$	1.79072	−	2.46471i	0.204071	−	0.280880i
$78$	4.89081	−	3.26037i	0.553775	−	0.369164i
$79$	−9.36404	+	3.04256i	−1.05354	+	0.342315i	−0.784056	−	0.620691i	$-0.786852\pi$
$79$	−9.36404	+	3.04256i	−1.05354	+	0.342315i	−0.269482	+	0.963006i	$0.586852\pi$
$80$	−0.627461	+	8.92224i	−0.0701523	+	0.997536i
$81$	−4.02491	−	8.04985i	−0.447213	−	0.894428i
$82$	−0.538246	−	6.76749i	−0.0594393	−	0.747344i
$83$	2.84404	−	8.75306i	0.312174	−	0.960773i	−0.664728	−	0.747086i	$-0.731453\pi$
$83$	2.84404	−	8.75306i	0.312174	−	0.960773i	0.976902	−	0.213688i	$-0.0685475\pi$
$84$	4.49796	+	3.00703i	0.490768	+	0.328094i
$85$	−0.00987986	−	0.0402609i	−0.00107162	−	0.00436691i
$86$	−3.34864	+	5.47465i	−0.361093	+	0.590346i
$87$	2.22760	+	2.06703i	0.238824	+	0.221609i
$88$	−4.20404	−	3.57259i	−0.448152	−	0.380839i
$89$	−5.71341	+	7.86384i	−0.605620	+	0.833565i	−0.996208	−	0.0870008i	$-0.972272\pi$
$89$	−5.71341	+	7.86384i	−0.605620	+	0.833565i	0.390588	+	0.920566i	$0.372272\pi$
$90$	−4.94025	+	8.09901i	−0.520748	+	0.853711i
$91$	−3.03219	+	2.20301i	−0.317859	+	0.230938i
$92$	−13.8564	−	2.17114i	−1.44463	−	0.226357i
$93$	10.8828	−	2.14326i	1.12850	−	0.222246i
$94$	−4.63844	−	1.10953i	−0.478419	−	0.114440i
$95$	−1.09711	−	4.47079i	−0.112561	−	0.458693i
$96$	6.04862	−	7.70806i	0.617335	−	0.786700i
$97$	−3.47931	+	1.13050i	−0.353271	+	0.114785i	−0.480276	−	0.877117i	$-0.659464\pi$
$97$	−3.47931	+	1.13050i	−0.353271	+	0.114785i	0.127005	+	0.991902i	$0.459464\pi$
$98$	5.50192	+	3.36532i	0.555778	+	0.339949i
$99$	−2.21880	−	5.41470i	−0.222998	−	0.544198i
$100$	9.99932	−	0.116963i	0.999932	−	0.0116963i
$101$	10.7353			1.06821			0.534103	−	0.845419i	$-0.320649\pi$
$101$	10.7353			1.06821			0.534103	+	0.845419i	$0.320649\pi$
$102$	−0.0157635	+	0.0425884i	−0.00156082	+	0.00421688i
$103$	−5.01062	−	15.4211i	−0.493711	−	1.51949i	−0.818955	−	0.573857i	$-0.805446\pi$
$103$	−5.01062	−	15.4211i	−0.493711	−	1.51949i	0.325244	−	0.945630i	$-0.394554\pi$
$104$	3.56068	+	5.77826i	0.349153	+	0.566605i
$105$	2.93925	−	5.28707i	0.286842	−	0.515966i
$106$	14.2533	+	3.40945i	1.38440	+	0.331155i
$107$	17.7636			1.71727			0.858634	−	0.512589i	$-0.171314\pi$
$107$	17.7636			1.71727			0.858634	+	0.512589i	$0.171314\pi$
$108$	9.45520	−	4.31268i	0.909827	−	0.414988i
$109$	5.07774	+	6.98891i	0.486359	+	0.669416i	0.979711	−	0.200414i	$-0.0642286\pi$
$109$	5.07774	+	6.98891i	0.486359	+	0.669416i	−0.493352	+	0.869830i	$0.664229\pi$
$110$	−3.59633	+	5.01130i	−0.342897	+	0.477808i
$111$	−5.58393	+	12.0523i	−0.530003	+	1.14395i
$112$	−3.65547	+	5.06649i	−0.345410	+	0.478739i
$113$	−13.6255	+	9.89948i	−1.28178	+	0.931265i	−0.999605	−	0.0280990i	$-0.991055\pi$
$113$	−13.6255	+	9.89948i	−1.28178	+	0.931265i	−0.282171	+	0.959364i	$0.591055\pi$
$114$	−1.75047	+	4.72925i	−0.163946	+	0.442934i
$115$	−1.15180	+	15.6386i	−0.107406	+	1.45831i
$116$	−2.47713	+	2.48534i	−0.229996	+	0.230758i
$117$	0.537576	+	7.17886i	0.0496989	+	0.663686i
$118$	−0.155428	−	1.95423i	−0.0143083	−	0.179901i
$119$	0.00894805	−	0.0275393i	0.000820266	−	0.00252452i
$120$	−9.14226	−	6.03482i	−0.834570	−	0.550901i
$121$	2.22348	+	6.84317i	0.202135	+	0.622106i
$122$	−16.2014	+	6.72654i	−1.46680	+	0.608992i
$123$	7.54425	+	3.49532i	0.680242	+	0.315163i
$124$	2.02450	+	12.6468i	0.181806	+	1.13571i
$125$	−1.04499	−	11.1314i	−0.0934665	−	0.995622i
$126$	−5.91318	+	2.99084i	−0.526788	+	0.266445i
$127$	9.29135	+	6.75056i	0.824474	+	0.599016i	0.917991	−	0.396602i	$-0.129811\pi$
$127$	9.29135	+	6.75056i	0.824474	+	0.599016i	−0.0935164	+	0.995618i	$0.529811\pi$
$128$	8.64541	+	7.29773i	0.764154	+	0.645034i
$129$	−3.82748	−	6.86499i	−0.336991	−	0.604429i
$130$	6.11293	−	4.49616i	0.536140	−	0.394339i
$131$	10.6793	+	3.46992i	0.933056	+	0.303168i	0.735812	−	0.677186i	$-0.236801\pi$
$131$	10.6793	+	3.46992i	0.933056	+	0.303168i	0.197244	+	0.980354i	$0.436801\pi$
$132$	6.33986	−	2.33714i	0.551814	−	0.203422i
$133$	0.993639	−	3.05811i	0.0861594	−	0.265171i
$134$	0.744546	+	0.870293i	0.0643190	+	0.0751819i
$135$	−5.67044	−	10.1413i	−0.488034	−	0.872825i
$136$	−0.0484955	−	0.0199467i	−0.00415846	−	0.00171041i
$137$	−13.3633	+	9.70903i	−1.14171	+	0.829499i	−0.987356	−	0.158517i	$-0.949329\pi$
$137$	−13.3633	+	9.70903i	−1.14171	+	0.829499i	−0.154351	+	0.988016i	$0.549329\pi$
$138$	10.6490	−	13.4785i	0.906503	−	1.14736i
$139$	5.13792	+	3.73291i	0.435792	+	0.316622i	0.783961	−	0.620810i	$-0.213196\pi$
$139$	5.13792	+	3.73291i	0.435792	+	0.316622i	−0.348168	+	0.937432i	$0.613196\pi$
$140$	5.97990	+	3.60980i	0.505393	+	0.305084i
$141$	3.97313	−	4.28177i	0.334598	−	0.360590i
$142$	−0.439161	+	1.83593i	−0.0368536	+	0.154068i
$143$			4.68066i			0.391416i
$144$	4.58680	+	11.0888i	0.382233	+	0.924066i
$145$	2.99597	+	2.53289i	0.248801	+	0.210345i
$146$	1.98333	−	0.823444i	0.164141	−	0.0681487i
$147$	−6.89919	+	3.84655i	−0.569036	+	0.317258i
$148$	−13.6776	−	6.94062i	−1.12429	−	0.570516i
$149$	−11.9635			−0.980092			−0.490046	−	0.871697i	$-0.663020\pi$
$149$	−11.9635			−0.980092			−0.490046	+	0.871697i	$0.663020\pi$
$150$	−5.88826	+	10.7391i	−0.480774	+	0.876844i
$151$			11.2345i			0.914252i	0.889402	+	0.457126i	$0.151121\pi$
$151$			11.2345i			0.914252i	−0.889402	+	0.457126i	$0.848879\pi$
$152$	−5.38520	−	2.21498i	−0.436797	−	0.179659i
$153$	−0.0359604	−	0.0424293i	−0.00290723	−	0.00343021i
$154$	−3.97914	+	1.65207i	−0.320648	+	0.133128i
$155$	13.9069	−	3.41270i	1.11703	−	0.274115i
$156$	−8.30632	+	0.324329i	−0.665037	+	0.0259671i
$157$	−24.2851			−1.93816			−0.969080	−	0.246745i	$-0.920639\pi$
$157$	−24.2851			−1.93816			−0.969080	+	0.246745i	$0.920639\pi$
$158$	13.5422	+	3.23935i	1.07736	+	0.257709i
$159$	−12.2089	+	13.1573i	−0.968227	+	1.04344i
$160$	7.34094	−	10.3010i	0.580352	−	0.814365i
$161$	−6.43807	+	8.86124i	−0.507391	+	0.698363i
$162$	−1.08444	+	12.6816i	−0.0852015	+	0.996364i
$163$	14.0327	+	19.3143i	1.09912	+	1.51282i	0.836539	+	0.547907i	$0.184575\pi$
$163$	14.0327	+	19.3143i	1.09912	+	1.51282i	0.262585	+	0.964909i	$0.415425\pi$
$164$	−4.34456	+	8.56166i	−0.339253	+	0.668554i
$165$	−3.18416	−	6.85063i	−0.247887	−	0.533321i
$166$	−9.89024	+	8.46123i	−0.767632	+	0.656719i
$167$	13.5418	+	4.39999i	1.04789	+	0.340481i	0.781841	−	0.623478i	$-0.214281\pi$
$167$	13.5418	+	4.39999i	1.04789	+	0.340481i	0.266052	+	0.963959i	$0.414281\pi$
$168$	−3.20749	−	6.94692i	−0.247463	−	0.535967i
$169$	−2.23780	+	6.88723i	−0.172138	+	0.529787i
$170$	−0.0177903	+	0.0558624i	−0.00136445	+	0.00428445i
$171$	−3.99323	−	4.71157i	−0.305370	−	0.360303i
$172$	8.07978	−	4.13370i	0.616077	−	0.315192i
$173$	−8.19111	+	11.2741i	−0.622758	+	0.857153i	−0.997550	−	0.0699557i	$-0.977714\pi$
$173$	−8.19111	+	11.2741i	−0.622758	+	0.857153i	0.374792	+	0.927109i	$0.377714\pi$
$174$	−1.16212	−	4.13752i	−0.0881001	−	0.313665i
$175$	3.47535	−	6.99351i	0.262712	−	0.528660i
$176$	2.43556	+	7.41234i	0.183587	+	0.558726i
$177$	2.17853	+	1.00933i	0.163748	+	0.0758662i
$178$	12.6957	−	5.27106i	0.951586	−	0.395082i
$179$	12.2127	−	3.96814i	0.912818	−	0.296593i	0.185301	−	0.982682i	$-0.440674\pi$
$179$	12.2127	−	3.96814i	0.912818	−	0.296593i	0.727517	+	0.686089i	$0.240674\pi$
$180$	11.9365	−	6.12532i	0.889696	−	0.456554i
$181$	3.23766	+	1.05198i	0.240653	+	0.0781929i	0.426860	−	0.904318i	$-0.359620\pi$
$181$	3.23766	+	1.05198i	0.240653	+	0.0781929i	−0.186207	+	0.982510i	$0.559620\pi$
$182$	5.28377	−	0.420240i	0.391659	−	0.0311502i
$183$	2.56576	−	21.3310i	0.189666	−	1.57684i
$184$	15.1146	+	12.8443i	1.11426	+	0.946897i
$185$	−6.48272	+	15.8757i	−0.476619	+	1.16720i
$186$	−14.7109	−	5.44504i	−1.07866	−	0.399250i
$187$	−0.0212556	−	0.0292558i	−0.00155436	−	0.00213940i
$188$	4.77718	+	4.76140i	0.348412	+	0.347261i
$189$	0.364797	−	8.10760i	0.0265351	−	0.589741i
$190$	−1.97553	+	6.20326i	−0.143320	+	0.450032i
$191$	2.68432	−	1.95027i	0.194230	−	0.141117i	−0.486420	−	0.873725i	$-0.661697\pi$
$191$	2.68432	−	1.95027i	0.194230	−	0.141117i	0.680650	+	0.732609i	$0.261697\pi$
$192$	−12.9852	+	4.83576i	−0.937126	+	0.348991i
$193$		−	9.86393i		−	0.710022i	−0.934862	−	0.355011i	$-0.884477\pi$
$193$		−	9.86393i		−	0.710022i	0.934862	−	0.355011i	$-0.115523\pi$
$194$	5.03176	+	1.20362i	0.361259	+	0.0864147i
$195$	1.12119	+	9.22594i	0.0802901	+	0.660683i
$196$	−4.15430	−	8.12003i	−0.296735	−	0.580002i
$197$	13.3884	−	4.35016i	0.953885	−	0.309936i	0.209592	−	0.977789i	$-0.432787\pi$
$197$	13.3884	−	4.35016i	0.953885	−	0.309936i	0.744293	+	0.667853i	$0.232787\pi$
$198$	−1.31884	+	8.16974i	−0.0937256	+	0.580598i
$199$			18.0274i			1.27793i	0.769236	+	0.638965i	$0.220637\pi$
$199$			18.0274i			1.27793i	−0.769236	+	0.638965i	$0.779363\pi$
$200$	−12.1497	−	7.23766i	−0.859117	−	0.511780i
$201$	−1.37629	+	0.271046i	−0.0970760	+	0.0191181i
$202$	−12.9514	−	7.92190i	−0.911257	−	0.557383i
$203$	0.846808	+	2.60621i	0.0594343	+	0.182920i
$204$	0.0504447	−	0.0397475i	0.00353183	−	0.00278288i
$205$	9.93754	+	4.05793i	0.694068	+	0.283418i
$206$	−5.33471	+	22.3019i	−0.371687	+	1.55385i
$207$	7.97713	+	19.4672i	0.554449	+	1.35306i
$208$	−0.0317597	−	9.59856i	−0.00220214	−	0.665541i
$209$	−2.36034	−	3.24872i	−0.163268	−	0.224719i
$210$	−7.44746	+	4.20951i	−0.513924	+	0.290484i
$211$	4.70069	+	3.41525i	0.323609	+	0.235115i	0.737714	−	0.675114i	$-0.235905\pi$
$211$	4.70069	+	3.41525i	0.323609	+	0.235115i	−0.414105	+	0.910229i	$0.635905\pi$
$212$	−14.6796	−	14.6311i	−1.00820	−	1.00487i
$213$	−1.69476	−	1.57259i	−0.116123	−	0.107752i
$214$	−21.4304	−	13.1082i	−1.46495	−	0.896059i
$215$	−5.34520	−	8.62506i	−0.364540	−	0.588224i
$216$	−14.5894	−	1.77432i	−0.992686	−	0.120727i
$217$	9.51261	+	3.09083i	0.645758	+	0.209820i
$218$	−0.968614	−	12.1786i	−0.0656028	−	0.824839i
$219$	−0.314093	+	2.61129i	−0.0212244	+	0.176454i
$220$	8.03668	−	3.39193i	0.541833	−	0.228684i
$221$	0.0137476	+	0.0423108i	0.000924765	+	0.00284613i
$222$	15.6303	−	10.4196i	1.04904	−	0.699320i
$223$	−17.9810	−	13.0640i	−1.20410	−	0.874828i	−0.209416	−	0.977827i	$-0.567156\pi$
$223$	−17.9810	−	13.0640i	−1.20410	−	0.874828i	−0.994682	+	0.102998i	$0.967156\pi$
$224$	8.14876	−	3.41488i	0.544462	−	0.228166i
$225$	−7.91721	−	12.7404i	−0.527814	−	0.849360i
$226$	23.7432	−	1.88839i	1.57938	−	0.125614i
$227$	−13.5333	−	9.83254i	−0.898238	−	0.652608i	0.0397746	−	0.999209i	$-0.487336\pi$
$227$	−13.5333	−	9.83254i	−0.898238	−	0.652608i	−0.938013	+	0.346600i	$0.887336\pi$
$228$	5.60165	−	4.41377i	0.370978	−	0.292309i
$229$	7.48734	−	2.43278i	0.494777	−	0.160763i	−0.0509908	−	0.998699i	$-0.516238\pi$
$229$	7.48734	−	2.43278i	0.494777	−	0.160763i	0.545768	+	0.837936i	$0.316238\pi$
$230$	12.9297	−	18.0168i	0.852559	−	1.18800i
$231$	0.630163	−	5.23901i	0.0414617	−	0.344702i
$232$	4.82247	−	1.17044i	0.316611	−	0.0768430i
$233$	1.51226	−	4.65425i	0.0990712	−	0.304910i	−0.889222	−	0.457476i	$-0.848754\pi$
$233$	1.51226	−	4.65425i	0.0990712	−	0.304910i	0.988293	+	0.152566i	$0.0487536\pi$
$234$	4.64893	−	9.05746i	0.303910	−	0.592105i
$235$	4.86858	−	5.75868i	0.317591	−	0.375655i
$236$	−1.25456	+	2.47233i	−0.0816652	+	0.160935i
$237$	−11.5998	+	12.5009i	−0.753487	+	0.812020i
$238$	−0.0311171	+	0.0266211i	−0.00201702	+	0.00172559i
$239$	−17.9015	−	13.0062i	−1.15795	−	0.841299i	−0.168432	−	0.985713i	$-0.553870\pi$
$239$	−17.9015	−	13.0062i	−1.15795	−	0.841299i	−0.989517	+	0.144414i	$0.953870\pi$
$240$	6.57620	+	14.0269i	0.424492	+	0.905432i
$241$	−11.2469	+	8.17133i	−0.724474	+	0.526361i	−0.887811	−	0.460209i	$-0.847774\pi$
$241$	−11.2469	+	8.17133i	−0.724474	+	0.526361i	0.163336	+	0.986570i	$0.447774\pi$
$242$	2.36729	−	9.89654i	0.152175	−	0.636174i
$243$	−12.8786	−	8.78310i	−0.826160	−	0.563436i
$244$	24.5095	+	3.84036i	1.56906	+	0.245854i
$245$	−8.66803	+	5.37183i	−0.553780	+	0.343193i
$246$	−6.52228	−	9.78395i	−0.415846	−	0.623802i
$247$	1.52661	+	4.69842i	0.0971358	+	0.298953i
$248$	6.88997	−	16.7513i	0.437514	−	1.06371i
$249$	−3.08024	−	15.6405i	−0.195203	−	0.991178i
$250$	−6.95346	+	14.2003i	−0.439775	+	0.898108i
$251$		−	19.8154i		−	1.25074i	−0.780330	−	0.625368i	$-0.784949\pi$
$251$		−	19.8154i		−	1.25074i	0.780330	−	0.625368i	$-0.215051\pi$
$252$	9.34084	+	0.755273i	0.588417	+	0.0475777i
$253$	4.22696	+	13.0092i	0.265747	+	0.817884i
$254$	−6.22791	−	15.0004i	−0.390774	−	0.941208i
$255$	−0.0489043	−	0.0525740i	−0.00306251	−	0.00329231i
$256$	−5.04486	−	15.1839i	−0.315304	−	0.948991i
$257$	14.4392			0.900692			0.450346	−	0.892854i	$-0.351301\pi$
$257$	14.4392			0.900692			0.450346	+	0.892854i	$0.351301\pi$
$258$	−0.448288	+	11.1065i	−0.0279092	+	0.691461i
$259$	−9.69040	+	7.04049i	−0.602132	+	0.437475i
$260$	−10.6926	+	0.913388i	−0.663129	+	0.0566459i
$261$	5.11337	+	1.24816i	0.316509	+	0.0772591i
$262$	−10.3233	−	12.0668i	−0.637773	−	0.745486i
$263$	9.55079	+	13.1455i	0.588927	+	0.810588i	0.994639	−	0.103413i	$-0.0329763\pi$
$263$	9.55079	+	13.1455i	0.588927	+	0.810588i	−0.405712	+	0.914001i	$0.632976\pi$
$264$	−9.37321	−	1.85876i	−0.576881	−	0.114399i
$265$	−14.9605	+	17.6956i	−0.919016	+	1.08703i
$266$	−3.45541	+	2.95615i	−0.211865	+	0.181253i
$267$	−2.01058	+	16.7155i	−0.123046	+	1.02297i
$268$	−0.256028	−	1.59937i	−0.0156394	−	0.0976968i
$269$	7.77219	−	23.9203i	0.473879	−	1.45845i	−0.373585	−	0.927596i	$-0.621872\pi$
$269$	7.77219	−	23.9203i	0.473879	−	1.45845i	0.847464	−	0.530853i	$-0.178128\pi$
$270$	−0.642575	+	16.4191i	−0.0391058	+	0.999235i
$271$	3.26289	−	1.06018i	0.198207	−	0.0644013i	−0.208231	−	0.978080i	$-0.566771\pi$
$271$	3.26289	−	1.06018i	0.198207	−	0.0644013i	0.406438	+	0.913678i	$0.366771\pi$
$272$	0.0437871	+	0.0598503i	0.00265498	+	0.00362896i
$273$	−2.72900	+	5.89023i	−0.165167	+	0.356493i
$274$	23.2864	−	1.85207i	1.40678	−	0.111887i
$275$	−4.51471	−	8.64489i	−0.272247	−	0.521306i
$276$	−22.7934	+	8.40260i	−1.37200	+	0.505777i
$277$	−20.3032	−	14.7511i	−1.21990	−	0.886309i	−0.223809	−	0.974633i	$-0.571849\pi$
$277$	−20.3032	−	14.7511i	−1.21990	−	0.886309i	−0.996092	+	0.0883237i	$0.971849\pi$
$278$	−3.44390	−	8.29489i	−0.206551	−	0.497495i
$279$	14.6559	−	12.4214i	0.877428	−	0.743652i
$280$	−4.55054	−	8.76768i	−0.271946	−	0.523969i
$281$	−17.0555	−	5.54166i	−1.01745	−	0.330588i	−0.247630	−	0.968855i	$-0.579652\pi$
$281$	−17.0555	−	5.54166i	−1.01745	−	0.330588i	−0.769815	+	0.638267i	$0.779652\pi$
$282$	−7.95292	+	2.23376i	−0.473589	+	0.133019i
$283$	−23.8748	−	7.75738i	−1.41921	−	0.461129i	−0.503857	−	0.863787i	$-0.668086\pi$
$283$	−23.8748	−	7.75738i	−1.41921	−	0.461129i	−0.915350	+	0.402658i	$0.868086\pi$
$284$	1.88460	−	1.89084i	0.111830	−	0.112201i
$285$	−5.43059	−	5.83810i	−0.321681	−	0.345819i
$286$	3.45398	−	5.64687i	0.204238	−	0.333906i
$287$	4.40707	+	6.06581i	0.260141	+	0.358054i
$288$	2.64908	−	16.7625i	0.156099	−	0.987741i
$289$	13.7530	+	9.99215i	0.809001	+	0.587773i
$290$	−1.74532	−	5.26655i	−0.102489	−	0.309262i
$291$	−4.31003	+	4.64485i	−0.252659	+	0.272286i
$292$	−3.00038	−	0.470126i	−0.175584	−	0.0275121i
$293$			28.1970i			1.64728i	0.567110	+	0.823642i	$0.308061\pi$
$293$			28.1970i			1.64728i	−0.567110	+	0.823642i	$0.691939\pi$
$294$	11.1618	+	0.450522i	0.650971	+	0.0262749i
$295$	2.86963	+	1.17180i	0.167077	+	0.0682246i
$296$	11.3794	+	18.4664i	0.661413	+	1.07334i
$297$	−7.92363	−	6.31998i	−0.459776	−	0.366722i
$298$	14.4331	+	8.82822i	0.836089	+	0.511405i
$299$		−	16.8281i		−	0.973196i
$300$	15.0284	−	8.61084i	0.867666	−	0.497147i
$301$		−	7.08769i		−	0.408528i
$302$	8.29025	−	13.5536i	0.477050	−	0.779923i
$303$	16.2405	−	9.05469i	0.932995	−	0.520178i
$304$	4.86235	+	6.64610i	0.278875	+	0.381180i
$305$	2.03733	−	27.6618i	0.116657	−	1.58391i
$306$	0.0120738	+	0.0777240i	0.000690215	+	0.00444318i
$307$			23.3799i			1.33436i	0.744897	+	0.667180i	$0.232499\pi$
$307$			23.3799i			1.33436i	−0.744897	+	0.667180i	$0.767501\pi$
$308$	6.01965	+	0.943212i	0.343001	+	0.0537445i
$309$	−20.5870	−	19.1030i	−1.17115	−	1.08673i
$310$	−19.2960	−	6.14512i	−1.09594	−	0.349020i
$311$	0.0207958	+	0.0151090i	0.00117922	+	0.000856753i	0.588375	−	0.808588i	$-0.299768\pi$
$311$	0.0207958	+	0.0151090i	0.00117922	+	0.000856753i	−0.587195	+	0.809445i	$0.699768\pi$
$312$	10.2603	+	5.73817i	0.580874	+	0.324860i
$313$	14.3073	+	19.6924i	0.808699	+	1.11308i	0.991523	+	0.129933i	$0.0414762\pi$
$313$	14.3073	+	19.6924i	0.808699	+	1.11308i	−0.182824	+	0.983146i	$0.558524\pi$
$314$	29.2982	+	17.9206i	1.65339	+	1.01132i
$315$	−0.0128345	−	10.4774i	−0.000723143	−	0.590337i
$316$	−13.9473	−	13.9012i	−0.784596	−	0.782004i
$317$	3.22055	+	1.04642i	0.180884	+	0.0587728i	0.398059	−	0.917360i	$-0.369684\pi$
$317$	3.22055	+	1.04642i	0.180884	+	0.0587728i	−0.217174	+	0.976133i	$0.569684\pi$
$318$	24.4382	−	6.86405i	1.37043	−	0.384917i
$319$	3.25475	+	1.05753i	0.182231	+	0.0592105i
$320$	−16.4577	+	7.01031i	−0.920013	+	0.391888i
$321$	26.8729	−	14.9826i	1.49990	−	0.836248i
$322$	14.3060	−	5.93961i	0.797242	−	0.331001i
$323$	−0.0308781	−	0.0224343i	−0.00171810	−	0.00124828i
$324$	10.6664	−	14.4992i	0.592579	−	0.805513i
$325$	1.99585	+	11.8311i	0.110710	+	0.656272i
$326$	−2.67683	−	33.6564i	−0.148256	−	1.86406i
$327$	13.5764	+	6.29009i	0.750778	+	0.347843i
$328$	11.5593	−	7.12305i	0.638254	−	0.393304i
$329$	5.00951	−	1.62769i	0.276183	−	0.0897374i
$330$	−1.21381	+	10.6145i	−0.0668179	+	0.584307i
$331$	−1.93679	+	5.96083i	−0.106456	+	0.327637i	−0.990069	−	0.140580i	$-0.955103\pi$
$331$	−1.93679	+	5.96083i	−0.106456	+	0.327637i	0.883614	+	0.468217i	$0.155103\pi$
$332$	18.1756	−	2.90957i	0.997516	−	0.159683i
$333$	1.71801	+	22.9425i	0.0941464	+	1.25724i
$334$	−13.0903	−	15.3011i	−0.716268	−	0.837238i
$335$	−1.75873	+	0.431585i	−0.0960897	+	0.0235800i
$336$	−1.25672	+	10.7478i	−0.0685597	+	0.586343i
$337$	−15.7322	−	21.6535i	−0.856987	−	1.17954i	−0.982280	−	0.187422i	$-0.939987\pi$
$337$	−15.7322	−	21.6535i	−0.856987	−	1.17954i	0.125293	−	0.992120i	$-0.460013\pi$
$338$	7.78201	−	6.65760i	0.423285	−	0.362126i
$339$	−12.2631	+	26.4684i	−0.666039	+	1.43757i
$340$	0.0626851	−	0.0542660i	0.00339957	−	0.00294298i
$341$	10.1055	−	7.34211i	0.547246	−	0.397598i
$342$	1.34074	+	8.63088i	0.0724990	+	0.466705i
$343$	−18.0562			−0.974944
$344$	−12.7980	−	0.975277i	−0.690023	−	0.0525834i
$345$	11.4479	+	24.6297i	0.616332	+	1.32602i
$346$	18.2014	−	7.55692i	0.978514	−	0.406263i
$347$	−5.88923	−	18.1252i	−0.316150	−	0.973011i	−0.975278	−	0.220980i	$-0.929075\pi$
$347$	−5.88923	−	18.1252i	−0.316150	−	0.973011i	0.659128	−	0.752031i	$-0.270925\pi$
$348$	−1.65118	+	5.84917i	−0.0885124	+	0.313549i
$349$		−	15.8284i		−	0.847275i	−0.905832	−	0.423638i	$-0.860753\pi$
$349$		−	15.8284i		−	0.847275i	0.905832	−	0.423638i	$-0.139247\pi$
$350$	−9.35346	+	5.87259i	−0.499963	+	0.313903i
$351$	6.86824	+	10.4068i	0.366600	+	0.555476i
$352$	2.53144	−	10.7397i	0.134926	−	0.572428i
$353$	−2.62947	−	8.09267i	−0.139952	−	0.430729i	0.856375	−	0.516354i	$-0.172711\pi$
$353$	−2.62947	−	8.09267i	−0.139952	−	0.430729i	−0.996327	+	0.0856250i	$0.972711\pi$
$354$	−1.88342	−	2.82528i	−0.100103	−	0.150162i
$355$	−2.27933	−	1.92702i	−0.120974	−	0.102276i
$356$	−19.2061	−	3.00939i	−1.01792	−	0.159497i
$357$	−0.00969120	−	0.0492089i	−0.000512913	−	0.00260441i
$358$	−17.6619	−	4.22479i	−0.933459	−	0.223287i
$359$	3.87524	−	2.81552i	0.204527	−	0.148598i	−0.480807	−	0.876826i	$-0.659656\pi$
$359$	3.87524	−	2.81552i	0.204527	−	0.148598i	0.685334	+	0.728229i	$0.259656\pi$
$360$	−18.9206	−	1.41854i	−0.997201	−	0.0747634i
$361$	11.9425	+	8.67670i	0.628550	+	0.456668i
$362$	−3.12971	−	3.65829i	−0.164494	−	0.192275i
$363$	9.13555	+	8.47703i	0.479492	+	0.444929i
$364$	−6.68458	−	3.39205i	−0.350367	−	0.177792i
$365$	−0.249405	+	3.38628i	−0.0130544	+	0.177246i
$366$	−18.8361	+	23.8410i	−0.984581	+	1.24619i
$367$	1.31579	−	4.04958i	0.0686837	−	0.211387i	−0.910823	−	0.412796i	$-0.864552\pi$
$367$	1.31579	−	4.04958i	0.0686837	−	0.211387i	0.979507	+	0.201410i	$0.0645522\pi$
$368$	−8.75644	−	26.6492i	−0.456461	−	1.38918i
$369$	14.3611	−	1.07541i	0.747611	−	0.0559835i
$370$	19.5360	−	14.3690i	1.01563	−	0.747011i
$371$	−15.3935	+	5.00167i	−0.799193	+	0.259674i
$372$	13.7296	+	17.4246i	0.711845	+	0.903424i
$373$	24.7804	+	18.0040i	1.28308	+	0.932212i	0.999641	−	0.0267779i	$-0.00852469\pi$
$373$	24.7804	+	18.0040i	1.28308	+	0.932212i	0.283439	+	0.958990i	$0.408525\pi$
$374$	0.00405465	+	0.0509801i	0.000209661	+	0.00263612i
$375$	−10.9696	−	15.9583i	−0.566468	−	0.824084i
$376$	−2.24975	−	9.26949i	−0.116022	−	0.478037i
$377$	−3.40612	−	2.47469i	−0.175424	−	0.127453i
$378$	−6.42292	+	9.51203i	−0.330359	+	0.489246i
$379$	−4.27742	−	13.1646i	−0.219716	−	0.676218i	−0.998785	−	0.0492791i	$-0.984308\pi$
$379$	−4.27742	−	13.1646i	−0.219716	−	0.676218i	0.779069	−	0.626939i	$-0.215692\pi$
$380$	6.96088	−	6.02598i	0.357086	−	0.309126i
$381$	19.7498	+	2.37556i	1.01181	+	0.121704i
$382$	−4.67759	+	0.372028i	−0.239326	+	0.0190346i
$383$	12.0849	+	3.92661i	0.617507	+	0.200640i	0.601033	−	0.799224i	$-0.294756\pi$
$383$	12.0849	+	3.92661i	0.617507	+	0.200640i	0.0164740	+	0.999864i	$0.494756\pi$
$384$	19.2341	+	3.74814i	0.981537	+	0.191271i
$385$	0.500379	−	6.79388i	0.0255017	−	0.346248i
$386$	−7.27886	+	11.9001i	−0.370484	+	0.605700i
$387$	−11.5805	−	7.15716i	−0.588671	−	0.363819i
$388$	−5.18227	−	5.16515i	−0.263090	−	0.262221i
$389$	−17.2968	−	12.5669i	−0.876984	−	0.637166i	0.0554682	−	0.998460i	$-0.482335\pi$
$389$	−17.2968	−	12.5669i	−0.876984	−	0.637166i	−0.932452	+	0.361295i	$0.882335\pi$
$390$	5.45544	−	11.9578i	0.276247	−	0.605505i
$391$	0.0764192	+	0.105182i	0.00386468	+	0.00531928i
$392$	−0.980135	+	12.8618i	−0.0495043	+	0.649618i
$393$	19.0825	−	3.75810i	0.962583	−	0.189571i
$394$	−19.3622	−	4.63152i	−0.975455	−	0.233333i
$395$	−14.2141	+	16.8128i	−0.715190	+	0.845945i
$396$	7.61975	−	8.88299i	0.382907	−	0.446387i
$397$	−9.14848	−	28.1561i	−0.459149	−	1.41312i	−0.866194	−	0.499708i	$-0.833441\pi$
$397$	−9.14848	−	28.1561i	−0.459149	−	1.41312i	0.407045	−	0.913408i	$-0.366559\pi$
$398$	13.3029	−	21.7487i	0.666815	−	1.09017i
$399$	−1.07616	−	5.46442i	−0.0538755	−	0.273563i
$400$	9.31691	+	17.6973i	0.465846	+	0.884866i
$401$			3.89120i			0.194317i	0.995269	+	0.0971585i	$0.0309754\pi$
$401$			3.89120i			0.194317i	−0.995269	+	0.0971585i	$0.969025\pi$
$402$	1.86040	+	0.688604i	0.0927885	+	0.0343444i
$403$	−14.6150	+	4.74870i	−0.728025	+	0.236550i
$404$	9.77912	+	19.1144i	0.486529	+	0.950975i
$405$	−17.1320	−	10.5592i	−0.851294	−	0.524689i
$406$	0.901579	−	3.76908i	0.0447446	−	0.187056i
$407$			14.9587i			0.741474i
$408$	−0.0901885	+	0.0107279i	−0.00446500	+	0.000531109i
$409$	−10.4345	+	7.58111i	−0.515953	+	0.374862i	−0.815077	−	0.579352i	$-0.803305\pi$
$409$	−10.4345	+	7.58111i	−0.515953	+	0.374862i	0.299124	+	0.954214i	$0.403305\pi$
$410$	−8.99446	−	12.2288i	−0.444205	−	0.603936i
$411$	−12.0272	+	25.9592i	−0.593256	+	1.28047i
$412$	22.8931	−	22.9690i	1.12786	−	1.13160i
$413$	1.27262	+	1.75161i	0.0626214	+	0.0861909i
$414$	4.74154	−	29.3722i	0.233034	−	1.44357i
$415$	−4.90465	−	19.9867i	−0.240760	−	0.981108i
$416$	−7.04472	+	11.6034i	−0.345396	+	0.568903i
$417$	10.9212	+	1.31363i	0.534814	+	0.0643290i
$418$	0.450250	+	5.66110i	0.0220225	+	0.276893i
$419$	−4.61408	−	1.49920i	−0.225412	−	0.0732409i	0.194133	−	0.980975i	$-0.437811\pi$
$419$	−4.61408	−	1.49920i	−0.225412	−	0.0732409i	−0.419546	+	0.907734i	$0.637811\pi$
$420$	12.0911	+	0.417218i	0.589987	+	0.0203582i
$421$	22.5874	−	7.33910i	1.10084	−	0.357686i	0.298417	−	0.954436i	$-0.403541\pi$
$421$	22.5874	−	7.33910i	1.10084	−	0.357686i	0.802428	+	0.596750i	$0.203541\pi$
$422$	−3.15083	−	7.58901i	−0.153380	−	0.369427i
$423$	2.39914	−	9.82863i	0.116650	−	0.477884i
$424$	6.91318	+	28.4839i	0.335734	+	1.38330i
$425$	−0.0662017	−	0.0648853i	−0.00321125	−	0.00314740i
$426$	0.884139	+	3.14782i	0.0428367	+	0.152512i
$427$	11.3878	−	15.6739i	0.551093	−	0.758514i
$428$	16.1813	+	31.6282i	0.782154	+	1.52880i
$429$	3.94789	+	7.08095i	0.190606	+	0.341872i
$430$	0.0839233	+	14.3499i	0.00404714	+	0.692012i
$431$	7.00584	−	21.5618i	0.337460	−	1.03859i	−0.628038	−	0.778183i	$-0.716142\pi$
$431$	7.00584	−	21.5618i	0.337460	−	1.03859i	0.965498	−	0.260411i	$-0.0838582\pi$
$432$	16.2918	+	12.9065i	0.783838	+	0.620965i
$433$	−11.3219	−	3.67872i	−0.544098	−	0.176788i	0.0240558	−	0.999711i	$-0.492342\pi$
$433$	−11.3219	−	3.67872i	−0.544098	−	0.176788i	−0.568154	+	0.822923i	$0.692342\pi$
$434$	−9.19545	−	10.7485i	−0.441396	−	0.515943i
$435$	6.66869	+	1.30485i	0.319739	+	0.0625626i
$436$	−7.81835	+	15.4073i	−0.374431	+	0.737878i
$437$	8.48599	+	11.6800i	0.405940	+	0.558728i
$438$	2.30587	−	2.91855i	0.110179	−	0.139453i
$439$	−11.7346	+	16.1512i	−0.560060	+	0.770856i	−0.991334	−	0.131364i	$-0.958064\pi$
$439$	−11.7346	+	16.1512i	−0.560060	+	0.770856i	0.431274	+	0.902221i	$0.358064\pi$
$440$	−12.1987	−	1.83837i	−0.581548	−	0.0876407i
$441$	−7.19281	+	11.6382i	−0.342515	+	0.554200i
$442$	0.0146368	−	0.0611896i	0.000696202	−	0.00291049i
$443$	−18.4414			−0.876176			−0.438088	−	0.898932i	$-0.644344\pi$
$443$	−18.4414			−0.876176			−0.438088	+	0.898932i	$0.644344\pi$
$444$	−26.5457	+	1.03651i	−1.25980	+	0.0491904i
$445$	−1.59650	+	21.6764i	−0.0756813	+	1.02756i
$446$	12.0525	+	29.0294i	0.570703	+	1.37458i
$447$	−18.0986	+	10.0906i	−0.856034	+	0.477270i
$448$	−12.3508	−	1.89339i	−0.583521	−	0.0894542i
$449$			11.4314i			0.539481i	0.962933	+	0.269740i	$0.0869379\pi$
$449$			11.4314i			0.539481i	−0.962933	+	0.269740i	$0.913062\pi$
$450$	0.150045	+	21.2127i	0.00707321	+	0.999975i
$451$	9.36354			0.440912
$452$	−30.0379	−	15.2425i	−1.41287	−	0.716949i
$453$	9.47572	+	16.9957i	0.445208	+	0.798528i
$454$	9.07126	+	21.8488i	0.425736	+	1.02542i
$455$	−3.16826	+	7.75881i	−0.148530	+	0.363739i
$456$	−10.0150	+	1.19128i	−0.468996	+	0.0557868i
$457$			25.8234i			1.20797i	0.796997	+	0.603983i	$0.206420\pi$
$457$			25.8234i			1.20797i	−0.796997	+	0.603983i	$0.793580\pi$
$458$	−10.8281	−	2.59014i	−0.505966	−	0.121029i
$459$	−0.0901881	−	0.0338568i	−0.00420962	−	0.00158030i
$460$	−28.8938	+	12.1948i	−1.34718	+	0.568587i
$461$	−3.87697	−	2.81678i	−0.180568	−	0.131191i	0.493829	−	0.869559i	$-0.335597\pi$
$461$	−3.87697	−	2.81678i	−0.180568	−	0.131191i	−0.674398	+	0.738368i	$0.735597\pi$
$462$	−4.62625	+	5.85547i	−0.215233	+	0.272421i
$463$	−24.7100	+	17.9528i	−1.14837	+	0.834339i	−0.988263	−	0.152761i	$-0.951184\pi$
$463$	−24.7100	+	17.9528i	−1.14837	+	0.834339i	−0.160106	+	0.987100i	$0.551184\pi$
$464$	−6.68165	−	2.14658i	−0.310188	−	0.0996527i
$465$	18.1601	−	16.8925i	0.842155	−	0.783372i
$466$	−5.25892	+	4.49907i	−0.243615	+	0.208415i
$467$	−10.5045	+	32.3294i	−0.486088	+	1.49603i	0.344311	+	0.938856i	$0.388113\pi$
$467$	−10.5045	+	32.3294i	−0.486088	+	1.49603i	−0.830399	+	0.557170i	$0.811887\pi$
$468$	−12.2923	+	7.49658i	−0.568213	+	0.346530i
$469$	−1.20301	−	0.390881i	−0.0555497	−	0.0180492i
$470$	−10.1231	+	3.35476i	−0.466942	+	0.154744i
$471$	−36.7387	+	20.4832i	−1.69283	+	0.943815i
$472$	3.33793	−	2.05690i	0.153641	−	0.0946765i
$473$	−7.16096	−	5.20274i	−0.329261	−	0.239222i
$474$	23.2190	−	6.52161i	1.06649	−	0.299547i
$475$	−7.35139	−	7.20520i	−0.337305	−	0.330597i
$476$	0.0571849	−	0.00915421i	0.00262107	−	0.000419582i
$477$	−7.37224	+	30.2021i	−0.337552	+	1.38286i
$478$	11.9992	+	28.9010i	0.548830	+	1.32190i
$479$	−9.66400	−	29.7427i	−0.441559	−	1.35898i	−0.886213	−	0.463278i	$-0.846673\pi$
$479$	−9.66400	−	29.7427i	−0.441559	−	1.35898i	0.444654	−	0.895702i	$-0.353327\pi$
$480$	2.41711	−	21.7752i	0.110326	−	0.993895i
$481$	5.68677	−	17.5021i	0.259294	−	0.798026i
$482$	19.5984	−	1.55874i	0.892681	−	0.0709985i
$483$	−2.26559	+	18.8355i	−0.103088	+	0.857047i
$484$	−10.1589	+	10.1926i	−0.461768	+	0.463298i
$485$	−5.28142	+	6.24699i	−0.239817	+	0.283661i
$486$	9.05574	+	20.0996i	0.410777	+	0.911736i
$487$	24.9800	−	18.1490i	1.13195	−	0.822412i	0.145975	−	0.989288i	$-0.453368\pi$
$487$	24.9800	−	18.1490i	1.13195	−	0.822412i	0.985978	+	0.166877i	$0.0533682\pi$
$488$	−26.7349	−	22.7193i	−1.21023	−	1.02845i
$489$	37.5194	+	17.3831i	1.69669	+	0.786092i
$490$	14.4214	−	0.0843414i	0.651490	−	0.00381016i
$491$	11.9624	+	16.4648i	0.539856	+	0.743048i	0.988592	−	0.150616i	$-0.0481258\pi$
$491$	11.9624	+	16.4648i	0.539856	+	0.743048i	−0.448736	+	0.893664i	$0.648126\pi$
$492$	0.648812	+	16.6166i	0.0292507	+	0.749133i
$493$	0.0325274			0.00146496
$494$	1.62535	−	6.79482i	0.0731279	−	0.305713i
$495$	−10.5952	−	7.67804i	−0.476218	−	0.345102i
$496$	−20.6735	+	15.1249i	−0.928267	+	0.679130i
$497$	−0.644251	−	1.98280i	−0.0288986	−	0.0889407i
$498$	−7.82548	+	21.1421i	−0.350668	+	0.947402i
$499$	−8.13318			−0.364091			−0.182046	−	0.983290i	$-0.558272\pi$
$499$	−8.13318			−0.364091			−0.182046	+	0.983290i	$0.558272\pi$
$500$	18.8676	−	12.0005i	0.843786	−	0.536679i
$501$	24.1973	−	4.76541i	1.08106	−	0.212903i
$502$	−14.6223	+	23.9058i	−0.652626	+	1.06697i
$503$	−36.5129	+	11.8638i	−1.62803	+	0.528980i	−0.973818	−	0.227330i	$-0.927000\pi$
$503$	−36.5129	+	11.8638i	−1.62803	+	0.528980i	−0.654214	+	0.756309i	$0.727000\pi$
$504$	−10.7117	−	7.80403i	−0.477137	−	0.347619i
$505$	20.4043	−	12.6452i	0.907982	−	0.562702i
$506$	4.50035	−	18.8139i	0.200065	−	0.836379i
$507$	2.42365	+	12.3065i	0.107638	+	0.546553i
$508$	−3.55568	+	22.6926i	−0.157758	+	1.00682i
$509$	6.77036	−	4.91896i	0.300091	−	0.218029i	−0.427542	−	0.903995i	$-0.640620\pi$
$509$	6.77036	−	4.91896i	0.300091	−	0.218029i	0.727633	+	0.685967i	$0.240620\pi$
$510$	0.0202036	+	0.0995145i	0.000894632	+	0.00440657i
$511$	−1.39406	+	1.91876i	−0.0616695	+	0.0848808i
$512$	−5.11832	+	22.0409i	−0.226200	+	0.974081i
$513$	−10.0150	−	3.75964i	−0.442172	−	0.165992i
$514$	−17.4198	−	10.6551i	−0.768355	−	0.469975i
$515$	−27.6881	−	23.4084i	−1.22008	−	1.03150i
$516$	8.73662	−	13.0684i	0.384608	−	0.575303i
$517$	2.03273	−	6.25611i	0.0893995	−	0.275143i
$518$	16.8861	−	1.34302i	0.741934	−	0.0590090i
$519$	−2.88250	+	23.9643i	−0.126528	+	1.05192i
$520$	13.5739	+	6.78845i	0.595255	+	0.297693i
$521$	27.8136	−	9.03720i	1.21854	−	0.395927i	0.371989	−	0.928237i	$-0.378676\pi$
$521$	27.8136	−	9.03720i	1.21854	−	0.395927i	0.846549	+	0.532310i	$0.178676\pi$
$522$	−5.24785	−	5.27910i	−0.229692	−	0.231060i
$523$	18.0758	−	24.8793i	0.790401	−	1.08789i	−0.203657	−	0.979042i	$-0.565283\pi$
$523$	18.0758	−	24.8793i	0.790401	−	1.08789i	0.994058	−	0.108852i	$-0.0347174\pi$
$524$	3.54986	+	22.1754i	0.155076	+	0.968739i
$525$	−0.641098	−	13.5111i	−0.0279798	−	0.589674i
$526$	−1.82188	−	22.9069i	−0.0794377	−	0.998788i
$527$	0.0697845	−	0.0960501i	0.00303986	−	0.00418401i
$528$	9.93645	+	9.15920i	0.432429	+	0.398603i
$529$	−8.08957	−	24.8971i	−0.351720	−	1.08248i
$530$	31.1068	−	10.3087i	1.35119	−	0.447783i
$531$	4.14702	−	0.310542i	0.179965	−	0.0134764i
$532$	6.35012	−	1.01653i	0.275312	−	0.0440722i
$533$	−10.9556	−	3.55970i	−0.474540	−	0.154188i
$534$	14.7604	−	18.6823i	0.638745	−	0.808462i
$535$	33.7627	−	20.9237i	1.45969	−	0.904611i
$536$	−0.871336	+	2.11845i	−0.0376360	+	0.0915029i
$537$	15.1286	−	16.3038i	0.652845	−	0.703560i
$538$	−27.0280	+	23.1228i	−1.16526	+	0.996895i
$539$	−5.22866	+	7.19663i	−0.225214	+	0.309981i
$540$	12.8913	−	19.3343i	0.554754	−	0.832014i
$541$	−9.55301	−	13.1486i	−0.410716	−	0.565302i	0.552677	−	0.833396i	$-0.313606\pi$
$541$	−9.55301	−	13.1486i	−0.410716	−	0.565302i	−0.963393	+	0.268093i	$0.913606\pi$
$542$	−4.71878	−	1.12875i	−0.202689	−	0.0484840i
$543$	5.78525	−	1.13935i	0.248269	−	0.0488940i
$544$	−0.00866074	−	0.104517i	−0.000371326	−	0.00448111i
$545$	17.8833	+	7.30254i	0.766038	+	0.312807i
$546$	7.63890	−	5.09232i	0.326915	−	0.217931i
$547$	11.6442	−	3.78343i	0.497870	−	0.161768i	−0.0493088	−	0.998784i	$-0.515702\pi$
$547$	11.6442	−	3.78343i	0.497870	−	0.161768i	0.547179	+	0.837016i	$0.315702\pi$
$548$	−29.4601	−	14.9493i	−1.25847	−	0.638603i
$549$	−14.1101	−	34.4339i	−0.602204	−	1.46960i
$550$	−0.932633	+	13.7609i	−0.0397676	+	0.586769i
$551$	3.61202			0.153877
$552$	33.6990	+	6.68271i	1.43432	+	0.284435i
$553$	−14.6256	+	4.75214i	−0.621943	+	0.202081i
$554$	13.6090	+	32.7784i	0.578193	+	1.39262i
$555$	3.58315	+	29.4847i	0.152096	+	1.25156i
$556$	−1.96621	+	12.5485i	−0.0833861	+	0.532176i
$557$			6.51576i			0.276082i	0.990427	+	0.138041i	$0.0440805\pi$
$557$			6.51576i			0.276082i	−0.990427	+	0.138041i	$0.955919\pi$
$558$	−26.8474	+	4.17054i	−1.13654	+	0.176553i
$559$	6.40063	+	8.80971i	0.270718	+	0.372611i
$560$	−0.980023	+	13.9355i	−0.0414135	+	0.588883i
$561$	−0.0568315	−	0.0263306i	−0.00239943	−	0.00111168i
$562$	16.4868	+	19.2713i	0.695456	+	0.812911i
$563$	16.2566	−	11.8111i	0.685133	−	0.497778i	−0.189924	−	0.981799i	$-0.560824\pi$
$563$	16.2566	−	11.8111i	0.685133	−	0.497778i	0.875056	+	0.484021i	$0.160824\pi$
$564$	11.2430	+	3.17380i	0.473414	+	0.133641i
$565$	−14.2369	+	34.8651i	−0.598952	+	1.46679i
$566$	23.0788	+	26.9765i	0.970073	+	1.13391i
$567$	−6.28646	−	12.5730i	−0.264007	−	0.528014i
$568$	−3.66893	+	0.890467i	−0.153945	+	0.0373632i
$569$	13.3861	+	4.34941i	0.561175	+	0.182337i	0.575850	−	0.817556i	$-0.304671\pi$
$569$	13.3861	+	4.34941i	0.561175	+	0.182337i	−0.0146749	+	0.999892i	$0.504671\pi$
$570$	2.24352	+	11.0506i	0.0939707	+	0.462859i
$571$	−12.8892	−	39.6689i	−0.539397	−	1.66009i	−0.733952	−	0.679202i	$-0.762326\pi$
$571$	−12.8892	−	39.6689i	−0.539397	−	1.66009i	0.194555	−	0.980892i	$-0.437674\pi$
$572$	−8.33395	+	4.26374i	−0.348460	+	0.178276i
$573$	2.41592	−	5.21447i	0.100926	−	0.217838i
$574$	−0.840679	−	10.5701i	−0.0350893	−	0.441185i
$575$	16.2315	+	31.0805i	0.676900	+	1.29615i
$576$	−15.5654	+	18.2679i	−0.648560	+	0.761163i
$577$	20.6918	−	28.4798i	0.861411	−	1.18563i	−0.119821	−	0.992796i	$-0.538232\pi$
$577$	20.6918	−	28.4798i	0.861411	−	1.18563i	0.981231	−	0.192835i	$-0.0617681\pi$
$578$	−9.21852	−	22.2035i	−0.383440	−	0.923544i
$579$	−8.31970	−	14.9223i	−0.345755	−	0.620148i
$580$	−1.78072	+	7.64162i	−0.0739406	+	0.317301i
$581$	4.44207	−	13.6713i	0.184288	−	0.567181i
$582$	8.62729	−	2.42318i	0.357613	−	0.100444i
$583$	−6.24631	+	19.2242i	−0.258696	+	0.796184i
$584$	3.27282	+	2.78123i	0.135430	+	0.115088i
$585$	9.47774	+	13.0114i	0.391856	+	0.537957i
$586$	20.8073	−	34.0175i	0.859541	−	1.40525i
$587$	−3.42098	+	2.48548i	−0.141199	+	0.102587i	−0.656142	−	0.754637i	$-0.727813\pi$
$587$	−3.42098	+	2.48548i	−0.141199	+	0.102587i	0.514944	+	0.857224i	$0.327813\pi$
$588$	−13.1335	−	8.78014i	−0.541615	−	0.362087i
$589$	7.74924	−	10.6659i	0.319302	−	0.439481i
$590$	−2.59730	−	3.53126i	−0.106929	−	0.145380i
$591$	16.5850	−	17.8734i	0.682216	−	0.735213i
$592$	−0.101499	−	30.6755i	−0.00417159	−	1.26076i
$593$	47.5536			1.95279			0.976396	−	0.215989i	$-0.0692975\pi$
$593$	47.5536			1.95279			0.976396	+	0.215989i	$0.0692975\pi$
$594$	4.89559	+	13.4716i	0.200869	+	0.552748i
$595$	−0.0154312	−	0.0628830i	−0.000632618	−	0.00257795i
$596$	−10.8979	−	21.3012i	−0.446396	−	0.872531i
$597$	15.2052	+	27.2721i	0.622306	+	1.11617i
$598$	−12.4179	+	20.3019i	−0.507807	+	0.830206i
$599$	−11.6759			−0.477066			−0.238533	−	0.971134i	$-0.576666\pi$
$599$	−11.6759			−0.477066			−0.238533	+	0.971134i	$0.576666\pi$
$600$	−24.4848	−	0.701540i	−0.999590	−	0.0286403i
$601$	0.981939			0.0400541			0.0200271	−	0.999799i	$-0.493625\pi$
$601$	0.981939			0.0400541			0.0200271	+	0.999799i	$0.493625\pi$
$602$	−5.23020	+	8.55078i	−0.213167	+	0.348504i
$603$	−1.85345	+	1.57087i	−0.0754784	+	0.0639707i
$604$	−20.0032	+	10.2338i	−0.813917	+	0.416409i
$605$	12.2867	+	10.3876i	0.499524	+	0.422315i
$606$	−26.2747	−	1.06052i	−1.06734	−	0.0430806i
$607$	22.9001			0.929485			0.464743	−	0.885446i	$-0.346147\pi$
$607$	22.9001			0.929485			0.464743	+	0.885446i	$0.346147\pi$
$608$	−0.961734	−	11.6061i	−0.0390035	−	0.470689i
$609$	3.47926	+	3.22846i	0.140987	+	0.130824i
$610$	−22.8703	+	31.8686i	−0.925991	+	1.29032i
$611$	−4.75671	+	6.54705i	−0.192436	+	0.264865i
$612$	0.0427884	−	0.102678i	0.00172962	−	0.00415050i
$613$	1.72975	−	1.25674i	0.0698641	−	0.0507592i	−0.552305	−	0.833642i	$-0.686252\pi$
$613$	1.72975	−	1.25674i	0.0698641	−	0.0507592i	0.622169	+	0.782883i	$0.286252\pi$
$614$	17.2526	−	28.2061i	0.696260	−	1.13831i
$615$	18.4563	−	2.24291i	0.744229	−	0.0904430i
$616$	−6.56624	−	5.57998i	−0.264561	−	0.224824i
$617$	−4.94503	+	15.2192i	−0.199080	+	0.612704i	0.800825	+	0.598898i	$0.204395\pi$
$617$	−4.94503	+	15.2192i	−0.199080	+	0.612704i	−0.999905	+	0.0138056i	$0.995605\pi$
$618$	10.7401	+	38.2381i	0.432029	+	1.53816i
$619$	9.61990	−	29.6070i	0.386656	−	1.19001i	−0.548615	−	0.836075i	$-0.684845\pi$
$619$	9.61990	−	29.6070i	0.386656	−	1.19001i	0.935272	−	0.353931i	$-0.115155\pi$
$620$	18.7445	+	21.6527i	0.752799	+	0.869592i
$621$	28.4874	+	22.7219i	1.14316	+	0.911798i
$622$	−0.0139392	−	0.0335736i	−0.000558911	−	0.00134618i
$623$	−8.92370	+	12.2824i	−0.357521	+	0.492085i
$624$	−8.14393	−	14.4940i	−0.326018	−	0.580225i
$625$	−15.0979	−	19.9262i	−0.603914	−	0.797049i
$626$	−2.72923	−	34.3152i	−0.109082	−	1.37151i
$627$	−6.31087	−	2.92389i	−0.252032	−	0.116769i
$628$	−22.1220	−	43.2398i	−0.882762	−	1.72546i
$629$	0.0439353	+	0.135219i	0.00175181	+	0.00539153i
$630$	−7.71611	+	12.6497i	−0.307417	+	0.503978i
$631$	−35.8370	−	11.6442i	−1.42665	−	0.463547i	−0.508942	−	0.860801i	$-0.669963\pi$
$631$	−35.8370	−	11.6442i	−1.42665	−	0.463547i	−0.917709	+	0.397254i	$0.869963\pi$
$632$	6.56829	+	27.0628i	0.261272	+	1.07650i
$633$	9.99183	+	1.20185i	0.397140	+	0.0477691i
$634$	−3.11317	−	3.63896i	−0.123640	−	0.144522i
$635$	25.6113	+	1.88631i	1.01635	+	0.0748559i
$636$	−34.5481	−	9.75266i	−1.36992	−	0.386718i
$637$	8.85360	−	6.43251i	0.350792	−	0.254865i
$638$	−3.14624	−	3.67761i	−0.124561	−	0.145598i
$639$	−3.89024	−	0.949598i	−0.153896	−	0.0375655i
$640$	25.0281	+	3.68714i	0.989322	+	0.145747i
$641$	5.23996	+	7.21218i	0.206966	+	0.284864i	0.899863	−	0.436172i	$-0.143666\pi$
$641$	5.23996	+	7.21218i	0.206966	+	0.284864i	−0.692897	+	0.721036i	$0.743666\pi$
$642$	−43.4763	−	1.75482i	−1.71587	−	0.0692571i
$643$		−	30.3552i		−	1.19709i	−0.801089	−	0.598545i	$-0.795746\pi$
$643$		−	30.3552i		−	1.19709i	0.801089	−	0.598545i	$-0.204254\pi$
$644$	−21.6421	−	3.39108i	−0.852819	−	0.133627i
$645$	−15.3611	−	8.53970i	−0.604841	−	0.336250i
$646$	0.0206973	+	0.0498511i	0.000814325	+	0.00196136i
$647$	26.2931	−	8.54316i	1.03369	−	0.335866i	0.257442	−	0.966294i	$-0.417120\pi$
$647$	26.2931	−	8.54316i	1.03369	−	0.335866i	0.776248	+	0.630427i	$0.217120\pi$
$648$	−23.5676	+	9.62121i	−0.925823	+	0.377957i
$649$	2.70388			0.106137
$650$	6.32264	−	15.7461i	0.247994	−	0.617615i
$651$	16.9977	−	3.34753i	0.666194	−	0.131200i
$652$	−21.6066	+	42.5793i	−0.846179	+	1.66753i
$653$	−0.313071	+	0.101723i	−0.0122514	+	0.00398073i	−0.315136	−	0.949046i	$-0.602050\pi$
$653$	−0.313071	+	0.101723i	−0.0122514	+	0.00398073i	0.302885	+	0.953027i	$0.402050\pi$
$654$	−11.7373	−	17.6069i	−0.458966	−	0.688486i
$655$	24.3851	−	5.98399i	0.952804	−	0.233814i
$656$	−19.2017	+	0.0635345i	−0.749700	+	0.00248061i
$657$	1.72732	+	4.21530i	0.0673891	+	0.164455i
$658$	−7.24472	−	1.73297i	−0.282429	−	0.0675581i
$659$	7.26872	+	10.0045i	0.283149	+	0.389721i	0.926774	−	0.375620i	$-0.122570\pi$
$659$	7.26872	+	10.0045i	0.283149	+	0.389721i	−0.643625	+	0.765341i	$0.722570\pi$
$660$	9.29706	−	11.9099i	0.361888	−	0.463591i
$661$	−4.94201	+	6.80209i	−0.192222	+	0.264571i	−0.894239	−	0.447589i	$-0.852283\pi$
$661$	−4.94201	+	6.80209i	−0.192222	+	0.264571i	0.702018	+	0.712160i	$0.252283\pi$
$662$	6.73525	−	5.76209i	0.261773	−	0.223950i
$663$	0.0564845	+	0.0524129i	0.00219368	+	0.00203555i
$664$	−24.0746	−	9.90210i	−0.934275	−	0.384276i
$665$	−1.71356	−	6.98286i	−0.0664492	−	0.270784i
$666$	14.8573	−	28.9463i	0.575707	−	1.12164i
$667$	−11.7016	−	3.80209i	−0.453089	−	0.147218i
$668$	4.50136	+	28.1193i	0.174163	+	1.08797i
$669$	−38.2206	−	4.59729i	−1.47770	−	0.177742i
$670$	2.44026	+	0.777139i	0.0942753	+	0.0300235i
$671$	−7.47672	−	23.0110i	−0.288636	−	0.888330i
$672$	9.44726	−	12.0391i	0.364436	−	0.464419i
$673$	27.4473	−	37.7779i	1.05801	−	1.45623i	0.176365	−	0.984325i	$-0.443566\pi$
$673$	27.4473	−	37.7779i	1.05801	−	1.45623i	0.881649	−	0.471906i	$-0.156434\pi$
$674$	3.00102	+	37.7326i	0.115595	+	1.45340i
$675$	−22.7231	−	12.5961i	−0.874612	−	0.484823i
$676$	−14.3012	+	2.28935i	−0.550048	+	0.0880521i
$677$	19.6849	−	27.0939i	0.756551	−	1.04130i	−0.240942	−	0.970539i	$-0.577456\pi$
$677$	19.6849	−	27.0939i	0.756551	−	1.04130i	0.997493	−	0.0707633i	$-0.0225435\pi$
$678$	34.3262	−	22.8829i	1.31829	−	0.878814i
$679$	−5.43430	+	1.76571i	−0.208549	+	0.0677617i
$680$	−0.115669	+	0.0192109i	−0.00443571	+	0.000736704i
$681$	−28.7666	−	3.46013i	−1.10234	−	0.132592i
$682$	−17.6095	+	1.40056i	−0.674304	+	0.0536302i
$683$	−2.71865	+	8.36713i	−0.104026	+	0.320159i	−0.989501	−	0.144528i	$-0.953833\pi$
$683$	−2.71865	+	8.36713i	−0.104026	+	0.320159i	0.885475	+	0.464688i	$0.153833\pi$
$684$	4.75145	−	11.4019i	0.181676	−	0.435962i
$685$	−13.9630	+	34.1944i	−0.533500	+	1.30650i
$686$	21.7835	+	13.3242i	0.831697	+	0.508719i
$687$	9.27501	−	9.99552i	0.353864	−	0.381353i
$688$	14.7202	+	10.6206i	0.561202	+	0.404907i
$689$	14.6167	−	20.1182i	0.556853	−	0.766442i
$690$	4.36393	−	38.1616i	0.166132	−	1.45279i
$691$	−8.42515	+	6.12123i	−0.320508	+	0.232863i	−0.736392	−	0.676555i	$-0.763472\pi$
$691$	−8.42515	+	6.12123i	−0.320508	+	0.232863i	0.415884	+	0.909418i	$0.363472\pi$
$692$	−27.5351	−	4.31445i	−1.04673	−	0.164011i
$693$	−3.46551	−	8.45714i	−0.131644	−	0.321260i
$694$	−6.27014	+	26.2125i	−0.238011	+	0.995013i
$695$	14.1625	+	1.04309i	0.537214	+	0.0395666i
$696$	6.30829	−	5.83815i	0.239115	−	0.221294i
$697$	0.0846418	−	0.0275018i	0.00320604	−	0.00104170i
$698$	−11.6802	+	19.0958i	−0.442102	+	0.722787i
$699$	−1.63785	−	8.31651i	−0.0619493	−	0.314559i
$700$	15.6178	−	0.182684i	0.590297	−	0.00690479i
$701$	−36.9035			−1.39383			−0.696913	−	0.717156i	$-0.745444\pi$
$701$	−36.9035			−1.39383			−0.696913	+	0.717156i	$0.745444\pi$
$702$	−0.606534	−	17.6233i	−0.0228921	−	0.665150i
$703$	4.87881	+	15.0154i	0.184008	+	0.566317i
$704$	−10.9791	+	11.0886i	−0.413791	+	0.417919i
$705$	2.50811	−	12.8182i	0.0944607	−	0.482761i
$706$	−2.79954	+	11.7036i	−0.105362	+	0.440469i
$707$	16.7674			0.630602
$708$	0.187355	+	4.79832i	0.00704125	+	0.180332i
$709$	−14.6914	−	20.2210i	−0.551748	−	0.759415i	0.438500	−	0.898731i	$-0.355510\pi$
$709$	−14.6914	−	20.2210i	−0.551748	−	0.759415i	−0.990248	+	0.139316i	$0.955510\pi$
$710$	1.32784	+	4.00678i	0.0498329	+	0.150372i
$711$	−7.00445	+	28.6953i	−0.262687	+	1.07616i
$712$	20.9501	+	17.8033i	0.785137	+	0.667208i
$713$	−36.3320	+	26.3967i	−1.36064	+	0.988564i
$714$	−0.0246209	+	0.0665183i	−0.000921412	+	0.00248938i
$715$	5.51335	+	8.89639i	0.206188	+	0.332706i
$716$	18.1902	+	18.1301i	0.679798	+	0.677553i
$717$	−38.0515	−	4.57695i	−1.42106	−	0.170929i
$718$	−6.75283	+	0.537081i	−0.252014	+	0.0200437i
$719$	4.01884	−	12.3687i	0.149877	−	0.461275i	−0.847728	−	0.530430i	$-0.822030\pi$
$719$	4.01884	−	12.3687i	0.149877	−	0.461275i	0.997606	+	0.0691550i	$0.0220303\pi$
$720$	21.7795	+	15.6734i	0.811674	+	0.584111i
$721$	−7.82603	−	24.0860i	−0.291456	−	0.897011i
$722$	−8.00492	−	19.2805i	−0.297912	−	0.717544i
$723$	−10.1223	+	21.8478i	−0.376452	+	0.812529i
$724$	1.07621	+	6.72295i	0.0399972	+	0.249856i
$725$	8.67784	+	1.28524i	0.322287	+	0.0477327i
$726$	−4.76594	−	16.9683i	−0.176881	−	0.629752i
$727$	21.7300	+	15.7878i	0.805921	+	0.585536i	0.912645	−	0.408753i	$-0.134036\pi$
$727$	21.7300	+	15.7878i	0.805921	+	0.585536i	−0.106724	+	0.994289i	$0.534036\pi$
$728$	5.56137	+	9.02499i	0.206118	+	0.334488i
$729$	−26.8909	−	2.42479i	−0.995959	−	0.0898071i
$730$	2.79972	−	3.90126i	0.103622	−	0.144392i
$731$	−0.0800126	−	0.0259977i	−0.00295937	−	0.000961558i
$732$	40.3173	−	14.8627i	1.49017	−	0.549341i
$733$	2.51484	−	7.73988i	0.0928877	−	0.285879i	−0.893810	−	0.448446i	$-0.851977\pi$
$733$	2.51484	−	7.73988i	0.0928877	−	0.285879i	0.986697	+	0.162567i	$0.0519775\pi$
$734$	−4.57570	+	3.91457i	−0.168892	+	0.144489i
$735$	−8.58224	+	15.4376i	−0.316561	+	0.569424i
$736$	−9.10116	+	38.6119i	−0.335473	+	1.42325i
$737$	−1.27799	+	0.928516i	−0.0470754	+	0.0342023i
$738$	−18.1192	−	9.30007i	−0.666978	−	0.342340i
$739$	30.2991	+	22.0136i	1.11457	+	0.809782i	0.983377	−	0.181575i	$-0.0581194\pi$
$739$	30.2991	+	22.0136i	1.11457	+	0.809782i	0.131193	+	0.991357i	$0.458119\pi$
$740$	−34.1720	+	2.91905i	−1.25619	+	0.107306i
$741$	6.27234	+	5.82020i	0.230420	+	0.213811i
$742$	22.2620	+	5.32517i	0.817265	+	0.195493i
$743$		−	10.4294i		−	0.382617i	−0.981530	−	0.191308i	$-0.938727\pi$
$743$		−	10.4294i		−	0.382617i	0.981530	−	0.191308i	$-0.0612730\pi$
$744$	−3.70562	−	31.1529i	−0.135855	−	1.14212i
$745$	−22.7388	+	14.0919i	−0.833084	+	0.516286i
$746$	−16.6101	−	40.0066i	−0.608138	−	1.46475i
$747$	−17.8518	−	21.0631i	−0.653162	−	0.770660i
$748$	0.0327279	−	0.0644957i	0.00119665	−	0.00235820i
$749$	27.7447			1.01377
$750$	1.45796	+	27.3473i	0.0532372	+	0.998582i
$751$		−	9.67665i		−	0.353106i	−0.984291	−	0.176553i	$-0.943505\pi$
$751$		−	9.67665i		−	0.353106i	0.984291	−	0.176553i	$-0.0564947\pi$
$752$	−4.12605	+	12.8431i	−0.150461	+	0.468340i
$753$	−16.7132	−	29.9769i	−0.609064	−	1.09242i
$754$	2.28309	+	5.49899i	0.0831452	+	0.200262i
$755$	13.2331	+	21.3531i	0.481603	+	0.777120i
$756$	14.7680	−	6.73591i	0.537105	−	0.244983i
$757$	−3.04281			−0.110593			−0.0552965	−	0.998470i	$-0.517610\pi$
$757$	−3.04281			−0.110593			−0.0552965	+	0.998470i	$0.517610\pi$
$758$	−4.55408	+	19.0385i	−0.165412	+	0.691509i
$759$	17.3672	+	16.1153i	0.630389	+	0.584949i
$760$	−12.8445	+	2.13328i	−0.465920	+	0.0773821i
$761$	6.94656	−	9.56112i	0.251813	−	0.346590i	−0.664332	−	0.747437i	$-0.731284\pi$
$761$	6.94656	−	9.56112i	0.251813	−	0.346590i	0.916145	+	0.400847i	$0.131284\pi$
$762$	−22.0737	−	17.4399i	−0.799645	−	0.631779i
$763$	7.93085	+	10.9159i	0.287116	+	0.395181i
$764$	5.91770	+	3.00289i	0.214095	+	0.108641i
$765$	−0.118326	−	0.0382864i	−0.00427810	−	0.00138425i
$766$	−11.6819	−	13.6549i	−0.422085	−	0.493372i
$767$	−3.16362	−	1.02792i	−0.114232	−	0.0371161i
$768$	−20.4387	−	18.7152i	−0.737518	−	0.675328i
$769$	12.0757	−	37.1653i	0.435462	−	1.34021i	−0.457150	−	0.889390i	$-0.651130\pi$
$769$	12.0757	−	37.1653i	0.435462	−	1.34021i	0.892612	−	0.450825i	$-0.148870\pi$
$770$	−5.61706	+	7.82708i	−0.202425	+	0.282068i
$771$	21.8438	−	12.1787i	0.786684	−	0.438605i
$772$	17.5628	−	8.98533i	0.632100	−	0.323389i
$773$	−2.03120	+	2.79571i	−0.0730573	+	0.100555i	−0.843982	−	0.536372i	$-0.819795\pi$
$773$	−2.03120	+	2.79571i	−0.0730573	+	0.100555i	0.770925	+	0.636926i	$0.219795\pi$
$774$	8.68957	+	17.1802i	0.312340	+	0.617528i
$775$	22.4127	−	22.8674i	0.805087	−	0.821421i
$776$	2.44052	+	10.0555i	0.0876096	+	0.360971i
$777$	−8.72147	+	18.8243i	−0.312881	+	0.675317i
$778$	11.5939	+	27.9248i	0.415661	+	1.00115i
$779$	9.39907	−	3.05394i	0.336757	−	0.109419i
$780$	−15.4055	+	10.4005i	−0.551607	+	0.372396i
$781$	−2.47621	−	0.804570i	−0.0886058	−	0.0287898i
$782$	−0.0145775	−	0.183286i	−0.000521290	−	0.00655429i
$783$	8.78831	−	2.42462i	0.314069	−	0.0866490i
$784$	10.6735	−	14.7935i	0.381197	−	0.528340i
$785$	−46.1580	+	28.6054i	−1.64745	+	1.02097i
$786$	−25.7948	−	9.54760i	−0.920070	−	0.340552i
$787$	−9.26255	−	12.7488i	−0.330174	−	0.454446i	0.611365	−	0.791349i	$-0.290621\pi$
$787$	−9.26255	−	12.7488i	−0.330174	−	0.454446i	−0.941539	+	0.336903i	$0.890621\pi$
$788$	19.9414	+	19.8755i	0.710382	+	0.708035i
$789$	25.5361	+	11.8311i	0.909109	+	0.421199i
$790$	29.5549	−	9.79444i	1.05152	−	0.348470i
$791$	−21.2814	+	15.4619i	−0.756681	+	0.549761i
$792$	−15.7477	+	5.09385i	−0.559569	+	0.181002i
$793$			29.7659i			1.05702i
$794$	−9.74020	+	40.7192i	−0.345667	+	1.44507i
$795$	−7.70707	+	39.3886i	−0.273342	+	1.39697i
$796$	−32.0980	+	16.4217i	−1.13768	+	0.582051i
$797$	−9.36259	+	3.04209i	−0.331640	+	0.107756i	−0.470104	−	0.882611i	$-0.655784\pi$
$797$	−9.36259	+	3.04209i	−0.331640	+	0.107756i	0.138464	+	0.990368i	$0.455784\pi$
$798$	−2.73403	+	7.38655i	−0.0967836	+	0.261481i
$799$		−	0.0625224i		−	0.00221188i
$800$	1.81916	−	28.2257i	0.0643172	−	0.997930i
$801$	11.0570	+	26.9831i	0.390679	+	0.953403i
$802$	2.87142	−	4.69444i	0.101393	−	0.165766i
$803$	0.915279	+	2.81694i	0.0322995	+	0.0994077i
$804$	−1.73630	−	2.20359i	−0.0612346	−	0.0777147i
$805$	−1.79899	+	24.4257i	−0.0634060	+	0.860893i
$806$	21.1361	+	5.05584i	0.744488	+	0.178085i
$807$	−8.41768	−	42.7424i	−0.296316	−	1.50460i
$808$	2.30722	−	30.2763i	0.0811676	−	1.06512i
$809$	−23.5397	−	32.3996i	−0.827611	−	1.13911i	−0.988363	−	0.152114i	$-0.951392\pi$
$809$	−23.5397	−	32.3996i	−0.827611	−	1.13911i	0.160752	−	0.986995i	$-0.448608\pi$
$810$	12.8766	+	25.3810i	0.452436	+	0.891797i
$811$	3.86788	+	2.81018i	0.135820	+	0.0986788i	0.653621	−	0.756822i	$-0.273249\pi$
$811$	3.86788	+	2.81018i	0.135820	+	0.0986788i	−0.517801	+	0.855501i	$0.673249\pi$
$812$	−3.86899	+	3.88182i	−0.135775	+	0.136225i
$813$	4.04194	−	4.35593i	0.141757	−	0.152769i
$814$	11.0384	−	18.0465i	0.386896	−	0.632531i
$815$	49.4219	+	20.1811i	1.73117	+	0.706913i
$816$	0.116722	+	0.0536101i	0.00408609	+	0.00187673i
$817$	−8.88502	−	2.88692i	−0.310847	−	0.101000i
$818$	18.1828	−	1.44615i	0.635745	−	0.0505634i
$819$	0.839633	+	11.2126i	0.0293391	+	0.391799i
$820$	1.82721	+	21.3904i	0.0638090	+	0.746984i
$821$	−6.42810	−	19.7837i	−0.224342	−	0.690455i	−0.998358	−	0.0572880i	$-0.981755\pi$
$821$	−6.42810	−	19.7837i	−0.224342	−	0.690455i	0.774015	−	0.633167i	$-0.218245\pi$
$822$	33.6659	−	22.4427i	1.17423	−	0.782779i
$823$	−7.09168	−	5.15240i	−0.247200	−	0.179602i	0.457285	−	0.889320i	$-0.348822\pi$
$823$	−7.09168	−	5.15240i	−0.247200	−	0.179602i	−0.704485	+	0.709719i	$0.748822\pi$
$824$	−44.5683	+	10.8169i	−1.55261	+	0.376826i
$825$	−14.1214	−	9.27017i	−0.491644	−	0.322746i
$826$	−0.242760	−	3.05228i	−0.00844671	−	0.106202i
$827$	23.7047	+	17.2225i	0.824294	+	0.598884i	0.917939	−	0.396721i	$-0.129852\pi$
$827$	23.7047	+	17.2225i	0.824294	+	0.598884i	−0.0936455	+	0.995606i	$0.529852\pi$
$828$	−27.3949	+	31.9365i	−0.952038	+	1.10987i
$829$	4.77311	−	1.55088i	0.165777	−	0.0538643i	−0.224953	−	0.974370i	$-0.572223\pi$
$829$	4.77311	−	1.55088i	0.165777	−	0.0538643i	0.390730	+	0.920505i	$0.372223\pi$
$830$	−8.83162	+	27.7317i	−0.306550	+	0.962582i
$831$	−43.1567	−	5.19101i	−1.49709	−	0.180074i
$832$	17.0614	−	8.80015i	0.591497	−	0.305090i
$833$	−0.0261272	+	0.0804111i	−0.000905252	+	0.00278608i
$834$	−12.2063	−	9.64386i	−0.422668	−	0.333940i
$835$	30.9212	−	7.58793i	1.07007	−	0.262591i
$836$	3.63428	−	7.16195i	0.125694	−	0.247701i
$837$	11.6948	−	31.1528i	0.404232	−	1.07680i
$838$	4.46024	+	5.21353i	0.154076	+	0.180098i
$839$	40.6431	+	29.5289i	1.40315	+	1.01945i	0.994274	+	0.106863i	$0.0340807\pi$
$839$	40.6431	+	29.5289i	1.40315	+	1.01945i	0.408881	+	0.912588i	$0.365919\pi$
$840$	−14.2792	−	9.42571i	−0.492678	−	0.325218i
$841$	20.9711	−	15.2364i	0.723142	−	0.525393i
$842$	−32.6658	−	7.81379i	−1.12574	−	0.269281i
$843$	−30.4758	+	6.00191i	−1.04964	+	0.206717i
$844$	−1.79889	+	11.4807i	−0.0619204	+	0.395181i
$845$	3.85916	+	15.7263i	0.132759	+	0.541000i
$846$	−10.1472	+	10.0871i	−0.348868	+	0.346803i
$847$	3.47282	+	10.6883i	0.119328	+	0.367253i
$848$	12.6788	−	39.4651i	0.435391	−	1.35524i
$849$	−42.6610	+	8.40165i	−1.46412	+	0.288344i
$850$	0.0319869	+	0.127131i	0.00109714	+	0.00436057i
$851$		−	53.7801i		−	1.84356i
$852$	1.25621	−	4.45004i	0.0430371	−	0.152456i
$853$	−8.65291	−	26.6309i	−0.296270	−	0.911825i	−0.982792	−	0.184716i	$-0.940863\pi$
$853$	−8.65291	−	26.6309i	−0.296270	−	0.911825i	0.686522	−	0.727109i	$-0.259137\pi$
$854$	−25.3047	+	10.5061i	−0.865910	+	0.359511i
$855$	−13.1396	−	4.25152i	−0.449364	−	0.145399i
$856$	3.81770	−	50.0977i	0.130486	−	1.71230i
$857$	22.5032			0.768695			0.384347	−	0.923189i	$-0.374427\pi$
$857$	22.5032			0.768695			0.384347	+	0.923189i	$0.374427\pi$
$858$	0.462391	−	11.4559i	0.0157858	−	0.391098i
$859$	−27.0632	+	19.6625i	−0.923384	+	0.670877i	−0.944364	−	0.328902i	$-0.893321\pi$
$859$	−27.0632	+	19.6625i	−0.923384	+	0.670877i	0.0209804	+	0.999780i	$0.493321\pi$
$860$	10.4879	−	17.3740i	0.357635	−	0.592448i
$861$	11.7833	+	5.45930i	0.401572	+	0.186052i
$862$	−24.3630	+	20.8429i	−0.829808	+	0.709911i
$863$	−18.3763	−	25.2928i	−0.625536	−	0.860977i	0.372205	−	0.928151i	$-0.378602\pi$
$863$	−18.3763	−	25.2928i	−0.625536	−	0.860977i	−0.997741	+	0.0671736i	$0.978602\pi$
$864$	−10.1307	−	27.5929i	−0.344655	−	0.938730i
$865$	−2.28884	+	31.0766i	−0.0778229	+	1.05664i
$866$	10.9445	+	12.7929i	0.371908	+	0.434720i
$867$	29.2336	+	3.51630i	0.992824	+	0.119420i
$868$	3.16205	+	19.7528i	0.107327	+	0.670454i
$869$	−5.93469	+	18.2651i	−0.201320	+	0.619601i
$870$	−7.08240	−	6.49521i	−0.240116	−	0.220208i
$871$	1.84828	−	0.600542i	0.0626265	−	0.0203486i
$872$	20.8018	−	12.8185i	0.704437	−	0.434087i
$873$	−2.60258	+	10.6621i	−0.0880840	+	0.360856i
$874$	−1.61876	−	20.3531i	−0.0547554	−	0.688452i
$875$	−1.63215	−	17.3860i	−0.0551768	−	0.587753i
$876$	−4.93553	+	1.81945i	−0.166756	+	0.0614734i
$877$	−10.6720	−	7.75363i	−0.360367	−	0.261822i	0.392838	−	0.919608i	$-0.371493\pi$
$877$	−10.6720	−	7.75363i	−0.360367	−	0.261822i	−0.753205	+	0.657786i	$0.771493\pi$
$878$	26.0753	−	10.8260i	0.879999	−	0.365361i
$879$	23.7826	+	42.6567i	0.802168	+	1.43877i
$880$	13.3602	+	11.2196i	0.450372	+	0.378212i
$881$	−20.5791	−	6.68655i	−0.693327	−	0.225276i	−0.0589061	−	0.998264i	$-0.518761\pi$
$881$	−20.5791	−	6.68655i	−0.693327	−	0.225276i	−0.634421	+	0.772988i	$0.718761\pi$
$882$	17.2657	−	8.73286i	0.581368	−	0.294051i
$883$	6.31681	+	2.05246i	0.212578	+	0.0690706i	0.413370	−	0.910563i	$-0.364352\pi$
$883$	6.31681	+	2.05246i	0.212578	+	0.0690706i	−0.200792	+	0.979634i	$0.564352\pi$
$884$	−0.0628117	+	0.0630199i	−0.00211259	+	0.00211959i
$885$	5.32956	−	0.647679i	0.179151	−	0.0217715i
$886$	22.2481	+	13.6084i	0.747441	+	0.457182i
$887$	−12.7250	−	17.5145i	−0.427264	−	0.588079i	0.540058	−	0.841628i	$-0.318402\pi$
$887$	−12.7250	−	17.5145i	−0.427264	−	0.588079i	−0.967323	+	0.253549i	$0.918402\pi$
$888$	32.7903	+	18.3383i	1.10037	+	0.615394i
$889$	14.5120	+	10.5436i	0.486718	+	0.353621i
$890$	17.9216	−	24.9729i	0.600735	−	0.837092i
$891$	−17.3175	−	2.87777i	−0.580159	−	0.0964089i
$892$	6.88110	−	43.9157i	0.230396	−	1.47041i
$893$		−	6.94282i		−	0.232333i
$894$	29.2807	+	1.18185i	0.979294	+	0.0395269i
$895$	18.5382	−	21.9274i	0.619664	−	0.732953i
$896$	13.5032	+	11.3982i	0.451109	+	0.380788i
$897$	−14.1936	−	25.4578i	−0.473912	−	0.850010i
$898$	8.43553	−	13.7911i	0.281497	−	0.460216i
$899$			11.2356i			0.374729i
$900$	15.4724	−	25.7022i	0.515746	−	0.856741i
$901$			0.192123i			0.00640054i
$902$	−11.2964	−	6.90961i	−0.376130	−	0.230065i
$903$	−5.97809	−	10.7223i	−0.198938	−	0.356817i
$904$	24.9907	+	40.5548i	0.831177	+	1.34883i
$905$	7.39284	−	1.81417i	0.245746	−	0.0603051i
$906$	1.10983	−	27.4964i	0.0368716	−	0.913508i
$907$			8.89134i			0.295232i	0.989045	+	0.147616i	$0.0471600\pi$
$907$			8.89134i			0.295232i	−0.989045	+	0.147616i	$0.952840\pi$
$908$	5.17903	−	33.0529i	0.171872	−	1.09690i
$909$	16.9317	−	27.3961i	0.561590	−	0.908670i
$910$	9.54771	−	7.02249i	0.316503	−	0.232793i
$911$	−48.2617	−	35.0642i	−1.59898	−	1.16173i	−0.889427	−	0.457077i	$-0.848897\pi$
$911$	−48.2617	−	35.0642i	−1.59898	−	1.16173i	−0.709554	−	0.704651i	$-0.751103\pi$
$912$	12.9614	+	5.95315i	0.429196	+	0.197129i
$913$	−10.5519	−	14.5234i	−0.349217	−	0.480656i
$914$	19.0557	−	31.1540i	0.630308	−	1.03048i
$915$	−20.2492	−	43.5655i	−0.669417	−	1.44023i
$916$	11.1520	+	11.1152i	0.368473	+	0.367256i
$917$	16.6799	+	5.41962i	0.550818	+	0.178972i
$918$	0.0838215	+	0.107398i	0.00276652	+	0.00354466i
$919$	6.79099	+	2.20653i	0.224014	+	0.0727866i	0.418874	−	0.908045i	$-0.362425\pi$
$919$	6.79099	+	2.20653i	0.224014	+	0.0727866i	−0.194859	+	0.980831i	$0.562425\pi$
$920$	43.8572	+	6.60939i	1.44593	+	0.217905i
$921$	19.7197	+	35.3693i	0.649786	+	1.16546i
$922$	2.59870	+	6.25916i	0.0855835	+	0.206134i
$923$	2.59137	+	1.88274i	0.0852959	+	0.0619711i
$924$	9.90214	−	3.65035i	0.325756	−	0.120088i
$925$	6.37844	+	37.8104i	0.209722	+	1.24320i
$926$	43.0586	−	3.42463i	1.41499	−	0.112540i
$927$	−47.2567	−	11.5352i	−1.55211	−	0.378867i
$928$	6.47690	+	7.52027i	0.212615	+	0.246865i
$929$	−8.00536	+	2.60110i	−0.262647	+	0.0853393i	−0.437380	−	0.899277i	$-0.644094\pi$
$929$	−8.00536	+	2.60110i	−0.262647	+	0.0853393i	0.174733	+	0.984616i	$0.444094\pi$
$930$	−34.3743	+	6.97874i	−1.12718	+	0.228842i
$931$	−2.90130	+	8.92928i	−0.0950862	+	0.292645i
$932$	9.66448	−	1.54710i	0.316571	−	0.0506769i
$933$	0.0442037	+	0.00531695i	0.00144716	+	0.000174069i
$934$	36.5296	−	31.2515i	1.19528	−	1.02258i
$935$	−0.0748604	−	0.0305687i	−0.00244820	−	0.000999704i
$936$	20.3617	+	0.0267665i	0.665544	+	0.000874891i
$937$	16.0114	+	22.0378i	0.523069	+	0.719943i	0.986054	−	0.166423i	$-0.0532218\pi$
$937$	16.0114	+	22.0378i	0.523069	+	0.719943i	−0.462985	+	0.886366i	$0.653222\pi$
$938$	1.16290	+	1.35930i	0.0379699	+	0.0443827i
$939$	38.2538	+	17.7234i	1.24837	+	0.578380i
$940$	14.6883	+	3.42281i	0.479080	+	0.111640i
$941$	−41.2020	+	29.9350i	−1.34315	+	0.975853i	−0.343824	+	0.939034i	$0.611722\pi$
$941$	−41.2020	+	29.9350i	−1.34315	+	0.975853i	−0.999322	+	0.0368183i	$0.988278\pi$
$942$	59.4377	+	2.39906i	1.93658	+	0.0781657i
$943$	−33.6643			−1.09626
$944$	−5.54481	+	0.0183467i	−0.180468	+	0.000597133i
$945$	−8.85659	−	15.8396i	−0.288105	−	0.515261i
$946$	4.79993	+	11.5610i	0.156059	+	0.375880i
$947$	−6.46462	−	19.8960i	−0.210072	−	0.646535i	−0.999467	−	0.0326490i	$-0.989606\pi$
$947$	−6.46462	−	19.8960i	−0.210072	−	0.646535i	0.789395	−	0.613886i	$-0.210394\pi$
$948$	−32.8245	−	9.26611i	−1.06609	−	0.300949i
$949$		−	3.64386i		−	0.118285i
$950$	3.55199	+	14.1173i	0.115242	+	0.458027i
$951$	5.75468	−	1.13333i	0.186608	−	0.0367506i
$952$	−0.0757445	−	0.0311544i	−0.00245489	−	0.00100972i
$953$	−3.73229	−	11.4868i	−0.120901	−	0.372094i	0.872231	−	0.489094i	$-0.162672\pi$
$953$	−3.73229	−	11.4868i	−0.120901	−	0.372094i	−0.993132	+	0.116999i	$0.962672\pi$
$954$	31.1810	−	30.9964i	1.00952	−	1.00354i
$955$	2.80478	−	6.86868i	0.0907606	−	0.222265i
$956$	6.85066	−	43.7214i	0.221566	−	1.41405i
$957$	5.81580	−	1.14536i	0.187998	−	0.0370243i
$958$	−10.2891	+	43.0137i	−0.332424	+	1.38971i
$959$	−20.8720	+	15.1644i	−0.673993	+	0.489684i
$960$	−18.9845	+	24.4865i	−0.612724	+	0.790297i
$961$	8.09811	+	5.88362i	0.261229	+	0.189794i
$962$	−19.7759	+	16.9185i	−0.637601	+	0.545476i
$963$	28.0166	−	45.3317i	0.902822	−	1.46079i
$964$	−24.7942	−	12.5817i	−0.798567	−	0.405228i
$965$	−11.6187	−	18.7481i	−0.374020	−	0.603522i
$966$	16.6325	−	21.0518i	0.535143	−	0.677332i
$967$	−7.81762	+	24.0602i	−0.251398	+	0.773723i	0.743120	+	0.669158i	$0.233345\pi$
$967$	−7.81762	+	24.0602i	−0.251398	+	0.773723i	−0.994518	+	0.104565i	$0.966655\pi$
$968$	19.7773	−	4.80005i	0.635667	−	0.154279i
$969$	−0.0656349	−	0.00789475i	−0.00210850	−	0.000253616i
$970$	10.9815	−	3.63923i	0.352594	−	0.116849i
$971$	−12.0350	+	3.91039i	−0.386220	+	0.125491i	−0.495690	−	0.868500i	$-0.665085\pi$
$971$	−12.0350	+	3.91039i	−0.386220	+	0.125491i	0.109470	+	0.993990i	$0.465085\pi$
$972$	3.90695	−	30.9311i	0.125315	−	0.992117i
$973$	8.02484	+	5.83039i	0.257265	+	0.186914i
$974$	−43.5292	+	3.46206i	−1.39477	+	0.110931i
$975$	12.9983	+	16.2148i	0.416277	+	0.519290i
$976$	15.4886	+	47.1376i	0.495777	+	1.50884i
$977$	−8.91581	−	6.47771i	−0.285242	−	0.207240i	0.435959	−	0.899967i	$-0.356409\pi$
$977$	−8.91581	−	6.47771i	−0.285242	−	0.207240i	−0.721201	+	0.692726i	$0.756409\pi$
$978$	−32.4369	−	48.6580i	−1.03722	−	1.55591i
$979$	5.85892	+	18.0319i	0.187252	+	0.576302i
$980$	−17.4605	−	10.5402i	−0.557756	−	0.336693i
$981$	25.8439	−	1.93528i	0.825133	−	0.0617886i
$982$	−2.28191	−	28.6910i	−0.0728187	−	0.915566i
$983$	−36.4043	−	11.8285i	−1.16112	−	0.377269i	−0.335796	−	0.941935i	$-0.609005\pi$
$983$	−36.4043	−	11.8285i	−1.16112	−	0.377269i	−0.825320	+	0.564665i	$0.809005\pi$
$984$	11.4791	−	20.5255i	0.365940	−	0.654328i
$985$	20.3229	−	24.0384i	0.647542	−	0.765928i
$986$	−0.0392419	−	0.0240029i	−0.00124972	−	0.000764407i
$987$	6.20557	−	6.68764i	0.197526	−	0.212870i
$988$	−6.97494	+	6.99806i	−0.221902	+	0.222638i
$989$	25.7454	+	18.7052i	0.818657	+	0.594789i
$990$	7.11647	+	17.0815i	0.226176	+	0.542884i
$991$	0.249181	+	0.342968i	0.00791549	+	0.0108947i	0.812956	−	0.582325i	$-0.197857\pi$
$991$	0.249181	+	0.342968i	0.00791549	+	0.0108947i	−0.805041	+	0.593219i	$0.797857\pi$
$992$	36.1021	−	2.99159i	1.14624	−	0.0949832i
$993$	2.09764	+	10.6512i	0.0665667	+	0.338005i
$994$	−0.685920	+	2.86751i	−0.0217561	+	0.0909519i
$995$	21.2345	+	34.2642i	0.673179	+	1.08625i
$996$	25.0422	−	19.7318i	0.793493	−	0.625226i
$997$	−6.43026	−	19.7903i	−0.203648	−	0.626766i	−0.999766	−	0.0216238i	$-0.993116\pi$
$997$	−6.43026	−	19.7903i	−0.203648	−	0.626766i	0.796118	−	0.605142i	$-0.206884\pi$
$998$	9.81208	+	6.00169i	0.310596	+	0.189980i
$999$	21.9498	+	33.2587i	0.694462	+	1.05226i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	600.2.bk.a.59.20	✓	464
3.2	odd	2	inner	600.2.bk.a.59.97	yes	464
8.3	odd	2	inner	600.2.bk.a.59.26	yes	464
24.11	even	2	inner	600.2.bk.a.59.91	yes	464
25.14	even	10	inner	600.2.bk.a.539.91	yes	464
75.14	odd	10	inner	600.2.bk.a.539.26	yes	464
200.139	odd	10	inner	600.2.bk.a.539.97	yes	464
600.539	even	10	inner	600.2.bk.a.539.20	yes	464

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
600.2.bk.a.59.20	✓	464	1.1	even	1	trivial
600.2.bk.a.59.26	yes	464	8.3	odd	2	inner
600.2.bk.a.59.91	yes	464	24.11	even	2	inner
600.2.bk.a.59.97	yes	464	3.2	odd	2	inner
600.2.bk.a.539.20	yes	464	600.539	even	10	inner
600.2.bk.a.539.26	yes	464	75.14	odd	10	inner
600.2.bk.a.539.91	yes	464	25.14	even	10	inner
600.2.bk.a.539.97	yes	464	200.139	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:	\( N \)	\(=\)	\( 600 = 2^{3} \cdot 3 \cdot 5^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	600.bk (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.20643 - 0.737927i) q^{2} +(1.51281 - 0.843447i) q^{3} +(0.910928 + 1.78051i) q^{4} +(1.90067 - 1.17790i) q^{5} +(-2.44750 - 0.0987875i) q^{6} +1.56189 q^{7} +(0.214918 - 2.82025i) q^{8} +(1.57719 - 2.55195i) q^{9} +O(q^{10})\)	\(q+(-1.20643 - 0.737927i) q^{2} +(1.51281 - 0.843447i) q^{3} +(0.910928 + 1.78051i) q^{4} +(1.90067 - 1.17790i) q^{5} +(-2.44750 - 0.0987875i) q^{6} +1.56189 q^{7} +(0.214918 - 2.82025i) q^{8} +(1.57719 - 2.55195i) q^{9} +(-3.16222 + 0.0184939i) q^{10} +(1.14651 - 1.57803i) q^{11} +(2.87983 + 1.92525i) q^{12} +(-1.94136 + 1.41048i) q^{13} +(-1.88430 - 1.15256i) q^{14} +(1.88186 - 3.38506i) q^{15} +(-2.34042 + 3.24383i) q^{16} +(0.00572900 - 0.0176320i) q^{17} +(-3.78592 + 1.91489i) q^{18} +(0.636179 - 1.95796i) q^{19} +(3.82864 + 2.31118i) q^{20} +(2.36284 - 1.31737i) q^{21} +(-2.54765 + 1.05774i) q^{22} +(-4.12198 + 5.67342i) q^{23} +(-2.05360 - 4.44778i) q^{24} +(2.22510 - 4.47760i) q^{25} +(3.38294 - 0.269059i) q^{26} +(0.233562 - 5.19090i) q^{27} +(1.42277 + 2.78095i) q^{28} +(0.542170 + 1.66863i) q^{29} +(-4.76825 + 2.69515i) q^{30} +(6.09046 + 1.97891i) q^{31} +(5.21725 - 2.18638i) q^{32} +(0.403463 - 3.35428i) q^{33} +(-0.0199228 + 0.0170442i) q^{34} +(2.96863 - 1.83975i) q^{35} +(5.98048 + 0.483564i) q^{36} +(-6.20429 + 4.50768i) q^{37} +(-2.21233 + 1.89268i) q^{38} +(-1.74725 + 3.77123i) q^{39} +(-2.91349 - 5.61352i) q^{40} +(2.82163 + 3.88365i) q^{41} +(-3.82271 - 0.154295i) q^{42} -4.53790i q^{43} +(3.85409 + 0.603893i) q^{44} +(-0.00821732 - 6.70820i) q^{45} +(9.15943 - 3.80284i) q^{46} +(3.20735 - 1.04213i) q^{47} +(-0.804616 + 6.88132i) q^{48} -4.56051 q^{49} +(-5.98856 + 3.75994i) q^{50} +(-0.00620480 - 0.0315061i) q^{51} +(-4.27981 - 2.17176i) q^{52} +(-9.85574 + 3.20232i) q^{53} +(-4.11228 + 6.09009i) q^{54} +(0.320369 - 4.34979i) q^{55} +(0.335677 - 4.40491i) q^{56} +(-0.689014 - 3.49860i) q^{57} +(0.577237 - 2.41316i) q^{58} +(0.814794 + 1.12147i) q^{59} +(7.74136 + 0.267125i) q^{60} +(7.29104 - 10.0353i) q^{61} +(-5.88740 - 6.88173i) q^{62} +(2.46340 - 3.98586i) q^{63} +(-7.90762 - 1.21224i) q^{64} +(-2.02848 + 4.96759i) q^{65} +(-2.96196 + 3.74897i) q^{66} +(-0.770226 - 0.250262i) q^{67} +(0.0366127 - 0.00586099i) q^{68} +(-1.45055 + 12.0595i) q^{69} +(-4.93903 + 0.0288853i) q^{70} +(-0.412482 - 1.26949i) q^{71} +(-6.85817 - 4.99654i) q^{72} +(-0.892548 + 1.22849i) q^{73} +(10.8114 - 0.859872i) q^{74} +(-0.410464 - 8.65052i) q^{75} +(4.06567 - 0.650836i) q^{76} +(1.79072 - 2.46471i) q^{77} +(4.89081 - 3.26037i) q^{78} +(-9.36404 + 3.04256i) q^{79} +(-0.627461 + 8.92224i) q^{80} +(-4.02491 - 8.04985i) q^{81} +(-0.538246 - 6.76749i) q^{82} +(2.84404 - 8.75306i) q^{83} +(4.49796 + 3.00703i) q^{84} +(-0.00987986 - 0.0402609i) q^{85} +(-3.34864 + 5.47465i) q^{86} +(2.22760 + 2.06703i) q^{87} +(-4.20404 - 3.57259i) q^{88} +(-5.71341 + 7.86384i) q^{89} +(-4.94025 + 8.09901i) q^{90} +(-3.03219 + 2.20301i) q^{91} +(-13.8564 - 2.17114i) q^{92} +(10.8828 - 2.14326i) q^{93} +(-4.63844 - 1.10953i) q^{94} +(-1.09711 - 4.47079i) q^{95} +(6.04862 - 7.70806i) q^{96} +(-3.47931 + 1.13050i) q^{97} +(5.50192 + 3.36532i) q^{98} +(-2.21880 - 5.41470i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 464 q - 10 q^{3} - 6 q^{4} + q^{6} - 6 q^{9}+O(q^{10}) \) 464 * q - 10 * q^3 - 6 * q^4 + q^6 - 6 * q^9	\( 464 q - 10 q^{3} - 6 q^{4} + q^{6} - 6 q^{9} - 16 q^{10} - 5 q^{12} - 18 q^{16} - 12 q^{19} - 10 q^{22} + 12 q^{24} - 16 q^{25} - 10 q^{27} - 50 q^{28} - 21 q^{30} - 10 q^{33} - 14 q^{34} - 25 q^{36} - 32 q^{40} + 15 q^{42} - 34 q^{46} - 70 q^{48} + 336 q^{49} - 4 q^{51} - 60 q^{52} + 40 q^{54} - 70 q^{58} - 50 q^{60} - 30 q^{64} + 28 q^{66} - 20 q^{67} - 16 q^{70} - 5 q^{72} - 20 q^{73} - 42 q^{75} - 48 q^{76} + 75 q^{78} - 6 q^{81} - 76 q^{84} - 70 q^{88} + 66 q^{90} - 96 q^{91} - 108 q^{94} - 50 q^{96} - 60 q^{97} - 52 q^{99}+O(q^{100}) \) 464 * q - 10 * q^3 - 6 * q^4 + q^6 - 6 * q^9 - 16 * q^10 - 5 * q^12 - 18 * q^16 - 12 * q^19 - 10 * q^22 + 12 * q^24 - 16 * q^25 - 10 * q^27 - 50 * q^28 - 21 * q^30 - 10 * q^33 - 14 * q^34 - 25 * q^36 - 32 * q^40 + 15 * q^42 - 34 * q^46 - 70 * q^48 + 336 * q^49 - 4 * q^51 - 60 * q^52 + 40 * q^54 - 70 * q^58 - 50 * q^60 - 30 * q^64 + 28 * q^66 - 20 * q^67 - 16 * q^70 - 5 * q^72 - 20 * q^73 - 42 * q^75 - 48 * q^76 + 75 * q^78 - 6 * q^81 - 76 * q^84 - 70 * q^88 + 66 * q^90 - 96 * q^91 - 108 * q^94 - 50 * q^96 - 60 * q^97 - 52 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

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