LMFDB - Embedded newform 750.2.o.a.229.8

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [750,2,Mod(19,750)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(750, base_ring=CyclotomicField(50)) chi = DirichletCharacter(H, H._module([0, 9])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("750.19"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 750 = 2 \cdot 3 \cdot 5^{3} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	750.o (of order $50$, degree $20$, minimal)

Newform invariants

comment:select newform

sage:traces = [240] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(1)] == traces)

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

Self dual:	no
Analytic conductor:	$5.98878015160$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$12$ over $\Q(\zeta_{50})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{50}]$

Embedding invariants

Embedding label			229.8
Character	$\chi$	$=$	750.229
Dual form			750.2.o.a.619.8

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.248690 + 0.968583i) q^{2} +(0.982287 - 0.187381i) q^{3} +(-0.876307 + 0.481754i) q^{4} +(-1.80201 - 1.32392i) q^{5} +(0.425779 + 0.904827i) q^{6} +(1.23973 - 1.70635i) q^{7} +(-0.684547 - 0.728969i) q^{8} +(0.929776 - 0.368125i) q^{9} +(0.834183 - 2.07464i) q^{10} +(-4.81280 + 1.23572i) q^{11} +(-0.770513 + 0.637424i) q^{12} +(-1.73813 - 4.39002i) q^{13} +(1.96105 + 0.776433i) q^{14} +(-2.01817 - 0.962805i) q^{15} +(0.535827 - 0.844328i) q^{16} +(0.599292 - 1.09011i) q^{17} +(0.587785 + 0.809017i) q^{18} +(0.960789 - 5.03663i) q^{19} +(2.21692 + 0.292033i) q^{20} +(0.898037 - 1.90842i) q^{21} +(-2.39379 - 4.35429i) q^{22} +(-5.68760 - 0.357833i) q^{23} +(-0.809017 - 0.587785i) q^{24} +(1.49448 + 4.77143i) q^{25} +(3.81984 - 2.77528i) q^{26} +(0.844328 - 0.535827i) q^{27} +(-0.264348 + 2.09253i) q^{28} +(4.79080 + 0.605219i) q^{29} +(0.430658 - 2.19420i) q^{30} +(-0.369946 - 0.203379i) q^{31} +(0.951057 + 0.309017i) q^{32} +(-4.49600 + 2.11566i) q^{33} +(1.20490 + 0.309365i) q^{34} +(-4.49307 + 1.43355i) q^{35} +(-0.637424 + 0.770513i) q^{36} +(-8.73478 - 5.54326i) q^{37} +(5.11733 - 0.321955i) q^{38} +(-2.52995 - 3.98656i) q^{39} +(0.268466 + 2.21989i) q^{40} +(-0.222389 - 3.53477i) q^{41} +(2.07180 + 0.395217i) q^{42} +(4.39058 - 1.42659i) q^{43} +(3.62218 - 3.40145i) q^{44} +(-2.16283 - 0.567584i) q^{45} +(-1.06786 - 5.59790i) q^{46} +(3.28965 - 3.50312i) q^{47} +(0.368125 - 0.929776i) q^{48} +(0.788440 + 2.42657i) q^{49} +(-4.24986 + 2.63414i) q^{50} +(0.384411 - 1.18310i) q^{51} +(3.63804 + 3.00965i) q^{52} +(4.58590 + 2.15796i) q^{53} +(0.728969 + 0.684547i) q^{54} +(10.3087 + 4.14498i) q^{55} +(-2.09253 + 0.264348i) q^{56} -5.12745i q^{57} +(0.605219 + 4.79080i) q^{58} +(4.66096 + 5.63413i) q^{59} +(2.23237 - 0.128548i) q^{60} +(0.221033 - 3.51321i) q^{61} +(0.104988 - 0.408902i) q^{62} +(0.524527 - 2.04290i) q^{63} +(-0.0627905 + 0.998027i) q^{64} +(-2.67989 + 10.2120i) q^{65} +(-3.16730 - 3.82861i) q^{66} +(-1.52695 - 12.0871i) q^{67} +1.24398i q^{68} +(-5.65391 + 0.714254i) q^{69} +(-2.50589 - 3.99541i) q^{70} +(-10.2862 - 9.65936i) q^{71} +(-0.904827 - 0.425779i) q^{72} +(8.74640 + 7.23565i) q^{73} +(3.19686 - 9.83892i) q^{74} +(2.36209 + 4.40687i) q^{75} +(1.58447 + 4.87650i) q^{76} +(-3.85803 + 9.74426i) q^{77} +(3.23215 - 3.44189i) q^{78} +(2.35215 + 12.3304i) q^{79} +(-2.08339 + 0.812097i) q^{80} +(0.728969 - 0.684547i) q^{81} +(3.36841 - 1.09446i) q^{82} +(3.58868 + 0.684576i) q^{83} +(0.132435 + 2.10500i) q^{84} +(-2.52314 + 1.17097i) q^{85} +(2.47366 + 3.89786i) q^{86} +(4.81935 - 0.303208i) q^{87} +(4.19539 + 2.66247i) q^{88} +(-9.71221 + 11.7400i) q^{89} +(0.0118771 - 2.23604i) q^{90} +(-9.64571 - 2.47660i) q^{91} +(5.15647 - 2.42645i) q^{92} +(-0.401503 - 0.130456i) q^{93} +(4.21116 + 2.31511i) q^{94} +(-8.39944 + 7.80406i) q^{95} +(0.992115 + 0.125333i) q^{96} +(0.190802 - 1.51036i) q^{97} +(-2.15426 + 1.36713i) q^{98} +(-4.01993 + 2.92065i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 10 q^{11} + 20 q^{13} - 10 q^{17} + 10 q^{19} + 60 q^{23} - 60 q^{24} + 60 q^{25} + 10 q^{28} + 20 q^{29} + 10 q^{30} - 30 q^{31} - 10 q^{34} - 10 q^{35} + 20 q^{37} - 90 q^{38} - 20 q^{41} - 10 q^{42}+ \cdots - 20 q^{99}+O(q^{100}) $ 240 * q - 10 * q^11 + 20 * q^13 - 10 * q^17 + 10 * q^19 + 60 * q^23 - 60 * q^24 + 60 * q^25 + 10 * q^28 + 20 * q^29 + 10 * q^30 - 30 * q^31 - 10 * q^34 - 10 * q^35 + 20 * q^37 - 90 * q^38 - 20 * q^41 - 10 * q^42 - 10 * q^46 + 140 * q^47 + 50 * q^49 + 20 * q^50 + 10 * q^51 - 80 * q^52 + 30 * q^53 - 10 * q^55 - 30 * q^58 + 20 * q^59 + 40 * q^60 - 100 * q^61 - 10 * q^62 - 10 * q^63 - 20 * q^65 - 40 * q^66 - 10 * q^67 - 10 * q^69 + 10 * q^70 + 80 * q^71 + 20 * q^73 - 80 * q^75 + 10 * q^76 + 20 * q^77 + 140 * q^79 + 100 * q^82 - 70 * q^83 - 20 * q^85 + 20 * q^86 + 30 * q^87 - 10 * q^88 + 40 * q^89 + 10 * q^90 + 170 * q^91 + 120 * q^92 + 50 * q^93 - 30 * q^94 + 220 * q^95 - 60 * q^97 - 120 * q^98 - 20 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/750\mathbb{Z}\right)^\times$.

$n$	$127$	$251$
$\chi(n)$	$e\left(\frac{21}{50}\right)$	$1$

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 $

$2$	0.248690	+	0.968583i	0.175850	+	0.684892i
$2$	0.248690	+	0.968583i	0.175850	+	0.684892i
$3$	0.982287	−	0.187381i	0.567124	−	0.108185i
$3$	0.982287	−	0.187381i	0.567124	−	0.108185i
$4$	−0.876307	+	0.481754i	−0.438153	+	0.240877i
$5$	−1.80201	−	1.32392i	−0.805883	−	0.592074i
$5$	−1.80201	−	1.32392i	−0.805883	−	0.592074i
$6$	0.425779	+	0.904827i	0.173824	+	0.369394i
$7$	1.23973	−	1.70635i	0.468575	−	0.644938i	−0.507684	−	0.861543i	$-0.669498\pi$
$7$	1.23973	−	1.70635i	0.468575	−	0.644938i	0.976259	+	0.216605i	$0.0694984\pi$
$8$	−0.684547	−	0.728969i	−0.242024	−	0.257729i
$9$	0.929776	−	0.368125i	0.309925	−	0.122708i
$10$	0.834183	−	2.07464i	0.263792	−	0.656059i
$11$	−4.81280	+	1.23572i	−1.45111	+	0.372583i	−0.890306	−	0.455363i	$-0.849509\pi$
$11$	−4.81280	+	1.23572i	−1.45111	+	0.372583i	−0.560808	+	0.827946i	$0.689509\pi$
$12$	−0.770513	+	0.637424i	−0.222428	+	0.184008i
$13$	−1.73813	−	4.39002i	−0.482071	−	1.21757i	−0.943790	−	0.330546i	$-0.892767\pi$
$13$	−1.73813	−	4.39002i	−0.482071	−	1.21757i	0.461719	−	0.887026i	$-0.347233\pi$
$14$	1.96105	+	0.776433i	0.524112	+	0.207511i
$15$	−2.01817	−	0.962805i	−0.521089	−	0.248595i
$16$	0.535827	−	0.844328i	0.133957	−	0.211082i
$17$	0.599292	−	1.09011i	0.145350	−	0.264390i	−0.793603	−	0.608435i	$-0.791797\pi$
$17$	0.599292	−	1.09011i	0.145350	−	0.264390i	0.938953	+	0.344045i	$0.111797\pi$
$18$	0.587785	+	0.809017i	0.138542	+	0.190687i
$19$	0.960789	−	5.03663i	0.220420	−	1.15548i	−0.684210	−	0.729285i	$-0.739853\pi$
$19$	0.960789	−	5.03663i	0.220420	−	1.15548i	0.904630	−	0.426197i	$-0.140147\pi$
$20$	2.21692	+	0.292033i	0.495717	+	0.0653006i
$21$	0.898037	−	1.90842i	0.195968	−	0.416452i
$22$	−2.39379	−	4.35429i	−0.510358	−	0.928337i
$23$	−5.68760	−	0.357833i	−1.18595	−	0.0746134i	−0.542467	−	0.840077i	$-0.682510\pi$
$23$	−5.68760	−	0.357833i	−1.18595	−	0.0746134i	−0.643479	+	0.765464i	$0.722510\pi$
$24$	−0.809017	−	0.587785i	−0.165140	−	0.119981i
$25$	1.49448	+	4.77143i	0.298896	+	0.954286i
$26$	3.81984	−	2.77528i	0.749132	−	0.544277i
$27$	0.844328	−	0.535827i	0.162491	−	0.103120i
$28$	−0.264348	+	2.09253i	−0.0499570	+	0.395451i
$29$	4.79080	+	0.605219i	0.889630	+	0.112386i	0.556845	−	0.830616i	$-0.312012\pi$
$29$	4.79080	+	0.605219i	0.889630	+	0.112386i	0.332785	+	0.943003i	$0.392012\pi$
$30$	0.430658	−	2.19420i	0.0786271	−	0.400605i
$31$	−0.369946	−	0.203379i	−0.0664442	−	0.0365280i	0.448185	−	0.893941i	$-0.352071\pi$
$31$	−0.369946	−	0.203379i	−0.0664442	−	0.0365280i	−0.514629	+	0.857413i	$0.672071\pi$
$32$	0.951057	+	0.309017i	0.168125	+	0.0546270i
$33$	−4.49600	+	2.11566i	−0.782653	+	0.368289i
$34$	1.20490	+	0.309365i	0.206638	+	0.0530557i
$35$	−4.49307	+	1.43355i	−0.759468	+	0.242314i
$36$	−0.637424	+	0.770513i	−0.106237	+	0.128419i
$37$	−8.73478	−	5.54326i	−1.43599	−	0.911307i	−0.999935	−	0.0113866i	$-0.996375\pi$
$37$	−8.73478	−	5.54326i	−1.43599	−	0.911307i	−0.436055	−	0.899920i	$-0.643625\pi$
$38$	5.11733	−	0.321955i	0.830141	−	0.0522281i
$39$	−2.52995	−	3.98656i	−0.405116	−	0.638361i
$40$	0.268466	+	2.21989i	0.0424482	+	0.350996i
$41$	−0.222389	−	3.53477i	−0.0347313	−	0.552038i	−0.976465	−	0.215678i	$-0.930804\pi$
$41$	−0.222389	−	3.53477i	−0.0347313	−	0.552038i	0.941733	−	0.336360i	$-0.109196\pi$
$42$	2.07180	+	0.395217i	0.319686	+	0.0609833i
$43$	4.39058	−	1.42659i	0.669557	−	0.217552i	0.0455393	−	0.998963i	$-0.485499\pi$
$43$	4.39058	−	1.42659i	0.669557	−	0.217552i	0.624018	+	0.781410i	$0.285499\pi$
$44$	3.62218	−	3.40145i	0.546064	−	0.512788i
$45$	−2.16283	−	0.567584i	−0.322416	−	0.0846104i
$46$	−1.06786	−	5.59790i	−0.157447	−	0.825365i
$47$	3.28965	−	3.50312i	0.479844	−	0.510982i	−0.442807	−	0.896617i	$-0.646017\pi$
$47$	3.28965	−	3.50312i	0.479844	−	0.510982i	0.922652	+	0.385635i	$0.126017\pi$
$48$	0.368125	−	0.929776i	0.0531342	−	0.134202i
$49$	0.788440	+	2.42657i	0.112634	+	0.346653i
$50$	−4.24986	+	2.63414i	−0.601021	+	0.372523i
$51$	0.384411	−	1.18310i	0.0538283	−	0.165666i
$52$	3.63804	+	3.00965i	0.504506	+	0.417363i
$53$	4.58590	+	2.15796i	0.629921	+	0.296418i	0.714112	−	0.700031i	$-0.246831\pi$
$53$	4.58590	+	2.15796i	0.629921	+	0.296418i	−0.0841911	+	0.996450i	$0.526831\pi$
$54$	0.728969	+	0.684547i	0.0992001	+	0.0931551i
$55$	10.3087	+	4.14498i	1.39003	+	0.558909i
$56$	−2.09253	+	0.264348i	−0.279626	+	0.0353250i
$57$		−	5.12745i		−	0.679148i
$58$	0.605219	+	4.79080i	0.0794692	+	0.629063i
$59$	4.66096	+	5.63413i	0.606806	+	0.733502i	0.981034	−	0.193835i	$-0.0620925\pi$
$59$	4.66096	+	5.63413i	0.606806	+	0.733502i	−0.374229	+	0.927336i	$0.622092\pi$
$60$	2.23237	−	0.128548i	0.288198	−	0.0165955i
$61$	0.221033	−	3.51321i	0.0283003	−	0.449821i	−0.958204	−	0.286086i	$-0.907646\pi$
$61$	0.221033	−	3.51321i	0.0283003	−	0.449821i	0.986504	−	0.163735i	$-0.0523542\pi$
$62$	0.104988	−	0.408902i	0.0133335	−	0.0519306i
$63$	0.524527	−	2.04290i	0.0660842	−	0.257381i
$64$	−0.0627905	+	0.998027i	−0.00784881	+	0.124753i
$65$	−2.67989	+	10.2120i	−0.332400	+	1.26664i
$66$	−3.16730	−	3.82861i	−0.389868	−	0.471269i
$67$	−1.52695	−	12.0871i	−0.186547	−	1.47667i	−0.755958	−	0.654620i	$-0.772829\pi$
$67$	−1.52695	−	12.0871i	−0.186547	−	1.47667i	0.569411	−	0.822053i	$-0.307171\pi$
$68$			1.24398i			0.150855i
$69$	−5.65391	+	0.714254i	−0.680650	+	0.0859861i
$70$	−2.50589	−	3.99541i	−0.299511	−	0.477542i
$71$	−10.2862	−	9.65936i	−1.22074	−	1.14635i	−0.984634	−	0.174628i	$-0.944128\pi$
$71$	−10.2862	−	9.65936i	−1.22074	−	1.14635i	−0.236109	−	0.971727i	$-0.575872\pi$
$72$	−0.904827	−	0.425779i	−0.106635	−	0.0501786i
$73$	8.74640	+	7.23565i	1.02369	+	0.846869i	0.988303	−	0.152505i	$-0.0487340\pi$
$73$	8.74640	+	7.23565i	1.02369	+	0.846869i	0.0353857	+	0.999374i	$0.488734\pi$
$74$	3.19686	−	9.83892i	0.371627	−	1.14375i
$75$	2.36209	+	4.40687i	0.272750	+	0.508862i
$76$	1.58447	+	4.87650i	0.181751	+	0.559373i
$77$	−3.85803	+	9.74426i	−0.439663	+	1.11046i
$78$	3.23215	−	3.44189i	0.365968	−	0.389717i
$79$	2.35215	+	12.3304i	0.264638	+	1.38728i	0.827842	+	0.560961i	$0.189568\pi$
$79$	2.35215	+	12.3304i	0.264638	+	1.38728i	−0.563204	+	0.826318i	$0.690432\pi$
$80$	−2.08339	+	0.812097i	−0.232930	+	0.0907952i
$81$	0.728969	−	0.684547i	0.0809965	−	0.0760608i
$82$	3.36841	−	1.09446i	0.371979	−	0.120863i
$83$	3.58868	+	0.684576i	0.393908	+	0.0751420i	0.380530	−	0.924768i	$-0.375742\pi$
$83$	3.58868	+	0.684576i	0.393908	+	0.0751420i	0.0133781	+	0.999911i	$0.495742\pi$
$84$	0.132435	+	2.10500i	0.0144499	+	0.229674i
$85$	−2.52314	+	1.17097i	−0.273673	+	0.127010i
$86$	2.47366	+	3.89786i	0.266741	+	0.420317i
$87$	4.81935	−	0.303208i	0.516689	−	0.0325073i
$88$	4.19539	+	2.66247i	0.447230	+	0.283821i
$89$	−9.71221	+	11.7400i	−1.02949	+	1.24444i	−0.0602891	+	0.998181i	$0.519202\pi$
$89$	−9.71221	+	11.7400i	−1.02949	+	1.24444i	−0.969203	+	0.246262i	$0.920798\pi$
$90$	0.0118771	−	2.23604i	0.00125196	−	0.235699i
$91$	−9.64571	−	2.47660i	−1.01114	−	0.259618i
$92$	5.15647	−	2.42645i	0.537599	−	0.252975i
$93$	−0.401503	−	0.130456i	−0.0416339	−	0.0135277i
$94$	4.21116	+	2.31511i	0.434348	+	0.238785i
$95$	−8.39944	+	7.80406i	−0.861764	+	0.800679i
$96$	0.992115	+	0.125333i	0.101257	+	0.0127918i
$97$	0.190802	−	1.51036i	0.0193730	−	0.153353i	−0.979461	−	0.201635i	$-0.935375\pi$
$97$	0.190802	−	1.51036i	0.0193730	−	0.153353i	0.998834	+	0.0482817i	$0.0153745\pi$
$98$	−2.15426	+	1.36713i	−0.217613	+	0.138101i
$99$	−4.01993	+	2.92065i	−0.404018	+	0.293536i
$100$	−3.60828	−	3.46126i	−0.360828	−	0.346126i
$101$	−3.36679	−	2.44611i	−0.335008	−	0.243397i	0.407545	−	0.913185i	$-0.366385\pi$
$101$	−3.36679	−	2.44611i	−0.335008	−	0.243397i	−0.742553	+	0.669788i	$0.766385\pi$
$102$	1.24153	+	0.0781101i	0.122929	+	0.00773406i
$103$	6.92970	+	12.6051i	0.682804	+	1.24202i	0.959676	+	0.281109i	$0.0907022\pi$
$103$	6.92970	+	12.6051i	0.682804	+	1.24202i	−0.276872	+	0.960907i	$0.589298\pi$
$104$	−2.01035	+	4.27222i	−0.197131	+	0.418925i
$105$	−4.14487	+	2.25007i	−0.404498	+	0.219585i
$106$	−0.949696	+	4.97848i	−0.0922427	+	0.483553i
$107$	9.01557	+	12.4089i	0.871569	+	1.19961i	0.978686	+	0.205365i	$0.0658381\pi$
$107$	9.01557	+	12.4089i	0.871569	+	1.19961i	−0.107117	+	0.994246i	$0.534162\pi$
$108$	−0.481754	+	0.876307i	−0.0463568	+	0.0843226i
$109$	8.17078	−	12.8751i	0.782619	−	1.23321i	−0.185482	−	0.982648i	$-0.559385\pi$
$109$	8.17078	−	12.8751i	0.782619	−	1.23321i	0.968101	−	0.250562i	$-0.0806154\pi$
$110$	−1.45109	+	11.0156i	−0.138356	+	1.05030i
$111$	−9.61877	−	3.80834i	−0.912973	−	0.361472i
$112$	−0.776433	−	1.96105i	−0.0733661	−	0.185302i
$113$	−1.71828	+	1.42148i	−0.161642	+	0.133722i	−0.714729	−	0.699402i	$-0.753450\pi$
$113$	−1.71828	+	1.42148i	−0.161642	+	0.133722i	0.553087	+	0.833124i	$0.313450\pi$
$114$	4.96636	−	1.27515i	0.465143	−	0.119428i
$115$	9.77537	+	8.17473i	0.911558	+	0.762298i
$116$	−4.48978	+	1.77763i	−0.416866	+	0.165049i
$117$	−3.23215	−	3.44189i	−0.298812	−	0.318202i
$118$	−4.29799	+	5.91568i	−0.395662	+	0.544583i
$119$	−1.11714	−	2.37404i	−0.102408	−	0.217628i
$120$	0.679677	+	2.13027i	0.0620458	+	0.194466i
$121$	11.9967	−	6.59522i	1.09061	−	0.599566i
$122$	3.45781	−	0.659612i	0.313055	−	0.0597185i
$123$	−0.880799	−	3.43049i	−0.0794190	−	0.309317i
$124$	0.422165			0.0379115
$125$	3.62391	−	10.5767i	0.324132	−	0.946012i
$126$	2.10916			0.187899
$127$	−5.16033	−	20.0982i	−0.457905	−	1.78342i	−0.607110	−	0.794618i	$-0.707671\pi$
$127$	−5.16033	−	20.0982i	−0.457905	−	1.78342i	0.149205	−	0.988806i	$-0.452329\pi$
$128$	−0.982287	+	0.187381i	−0.0868227	+	0.0165623i
$129$	4.04549	−	2.22403i	0.356186	−	0.195815i
$130$	−10.5576	−	0.0560789i	−0.925966	−	0.00491844i
$131$	0.473181	+	1.00556i	0.0413420	+	0.0878563i	0.924431	−	0.381349i	$-0.124540\pi$
$131$	0.473181	+	1.00556i	0.0413420	+	0.0878563i	−0.883089	+	0.469205i	$0.844540\pi$
$132$	2.92065	−	4.01993i	0.254210	−	0.349890i
$133$	−7.40311	−	7.88352i	−0.641931	−	0.683588i
$134$	11.3276	−	4.48492i	0.978557	−	0.387438i
$135$	−2.23088	−	0.152256i	−0.192003	−	0.0131041i
$136$	−1.20490	+	0.309365i	−0.103319	+	0.0265278i
$137$	−3.36547	+	2.78416i	−0.287531	+	0.237867i	−0.769996	−	0.638049i	$-0.779742\pi$
$137$	−3.36547	+	2.78416i	−0.287531	+	0.237867i	0.482464	+	0.875916i	$0.339742\pi$
$138$	−2.09788	−	5.29865i	−0.178584	−	0.451051i
$139$	−11.6040	−	4.59436i	−0.984241	−	0.389689i	−0.179789	−	0.983705i	$-0.557541\pi$
$139$	−11.6040	−	4.59436i	−0.984241	−	0.389689i	−0.804453	+	0.594017i	$0.797541\pi$
$140$	3.24669	−	3.42078i	0.274396	−	0.289109i
$141$	2.57496	−	4.05749i	0.216851	−	0.341702i
$142$	6.79782	−	12.3652i	0.570461	−	1.03766i
$143$	13.7901	+	18.9804i	1.15319	+	1.58722i
$144$	0.187381	−	0.982287i	0.0156151	−	0.0818573i
$145$	−7.83182	−	7.43324i	−0.650397	−	0.617297i
$146$	−4.83319	+	10.2710i	−0.399997	+	0.850038i
$147$	1.22917	+	2.23585i	0.101380	+	0.184410i
$148$	10.3248	+	0.649584i	0.848696	+	0.0533955i
$149$	−1.81057	−	1.31546i	−0.148328	−	0.107767i	0.511146	−	0.859494i	$-0.329221\pi$
$149$	−1.81057	−	1.31546i	−0.148328	−	0.107767i	−0.659474	+	0.751727i	$0.729221\pi$
$150$	−3.68100	+	3.38382i	−0.300552	+	0.276288i
$151$	−13.3748	+	9.71737i	−1.08843	+	0.790788i	−0.979133	−	0.203221i	$-0.934859\pi$
$151$	−13.3748	+	9.71737i	−1.08843	+	0.790788i	−0.109294	+	0.994009i	$0.534859\pi$
$152$	−4.32925	+	2.74743i	−0.351149	+	0.222846i
$153$	0.155912	−	1.23417i	0.0126047	−	0.0997768i
$154$	−10.3976	−	1.31352i	−0.837861	−	0.105846i
$155$	0.397388	+	0.856270i	0.0319190	+	0.0687772i
$156$	4.13755	+	2.27464i	0.331270	+	0.182117i
$157$	16.7357	+	5.43777i	1.33566	+	0.433981i	0.887844	−	0.460145i	$-0.152203\pi$
$157$	16.7357	+	5.43777i	1.33566	+	0.433981i	0.447814	+	0.894127i	$0.352203\pi$
$158$	−11.3581	+	5.34470i	−0.903599	+	0.425201i
$159$	4.90903	+	1.26042i	0.389311	+	0.0999581i
$160$	−1.30470	−	1.81597i	−0.103146	−	0.143565i
$161$	−7.66169	+	9.26139i	−0.603826	+	0.729900i
$162$	0.844328	+	0.535827i	0.0663367	+	0.0420985i
$163$	−1.31945	+	0.0830127i	−0.103347	+	0.00650206i	−0.114380	−	0.993437i	$-0.536488\pi$
$163$	−1.31945	+	0.0830127i	−0.103347	+	0.00650206i	0.0110327	+	0.999939i	$0.496488\pi$
$164$	1.89777	+	2.99041i	0.148191	+	0.233511i
$165$	10.9028	+	2.13990i	0.848782	+	0.166591i
$166$	0.229398	+	3.64618i	0.0178047	+	0.282998i
$167$	−8.21638	−	1.56736i	−0.635803	−	0.121286i	−0.140605	−	0.990066i	$-0.544905\pi$
$167$	−8.21638	−	1.56736i	−0.635803	−	0.121286i	−0.495198	+	0.868780i	$0.664905\pi$
$168$	−2.00593	+	0.651766i	−0.154761	+	0.0502849i
$169$	−6.77456	+	6.36173i	−0.521120	+	0.489364i
$170$	−1.76166	−	2.15267i	−0.135113	−	0.165102i
$171$	−0.960789	−	5.03663i	−0.0734734	−	0.385161i
$172$	−3.16023	+	3.36530i	−0.240965	+	0.256602i
$173$	5.09766	−	12.8752i	0.387568	−	0.978886i	−0.596741	−	0.802434i	$-0.703538\pi$
$173$	5.09766	−	12.8752i	0.387568	−	0.978886i	0.984309	−	0.176452i	$-0.0564620\pi$
$174$	1.49221	+	4.59254i	0.113124	+	0.348160i
$175$	9.99447	+	3.36519i	0.755511	+	0.254385i
$176$	−1.53548	+	4.72571i	−0.115741	+	0.356214i
$177$	5.63413	+	4.66096i	0.423488	+	0.350339i
$178$	−13.7865	−	6.48745i	−1.03335	−	0.486255i
$179$	−12.5442	−	11.7798i	−0.937596	−	0.880461i	0.0554173	−	0.998463i	$-0.482351\pi$
$179$	−12.5442	−	11.7798i	−0.937596	−	0.880461i	−0.993013	+	0.118002i	$0.962351\pi$
$180$	2.16874	−	0.544576i	0.161648	−	0.0405903i
$181$	11.5244	−	1.45587i	0.856603	−	0.108214i	0.315249	−	0.949009i	$-0.397912\pi$
$181$	11.5244	−	1.45587i	0.856603	−	0.108214i	0.541354	+	0.840795i	$0.317912\pi$
$182$		−	9.95857i		−	0.738179i
$183$	−0.441193	−	3.49240i	−0.0326139	−	0.258166i
$184$	3.63258	+	4.39103i	0.267797	+	0.323711i
$185$	8.40135	+	21.5532i	0.617679	+	1.58462i
$186$	0.0265079	−	0.421332i	0.00194366	−	0.0308935i
$187$	−1.53721	+	5.98702i	−0.112412	+	0.437815i
$188$	−1.19510	+	4.65460i	−0.0871616	+	0.339472i
$189$	0.132435	−	2.10500i	0.00963325	−	0.153116i
$190$	−9.64773	−	6.19476i	−0.699920	−	0.449415i
$191$	−4.17750	−	5.04974i	−0.302274	−	0.365386i	0.597404	−	0.801940i	$-0.296199\pi$
$191$	−4.17750	−	5.04974i	−0.302274	−	0.365386i	−0.899678	+	0.436554i	$0.856199\pi$
$192$	0.125333	+	0.992115i	0.00904515	+	0.0715997i
$193$		−	6.88160i		−	0.495349i	−0.968843	−	0.247674i	$-0.920334\pi$
$193$		−	6.88160i		−	0.495349i	0.968843	−	0.247674i	$-0.0796663\pi$
$194$	1.51036	−	0.190802i	0.108437	−	0.0136988i
$195$	−0.718887	+	10.5333i	−0.0514806	+	0.754304i
$196$	−1.85992	−	1.74658i	−0.132852	−	0.124756i
$197$	8.61544	+	4.05412i	0.613824	+	0.288844i	0.707450	−	0.706764i	$-0.249846\pi$
$197$	8.61544	+	4.05412i	0.613824	+	0.288844i	−0.0936253	+	0.995608i	$0.529846\pi$
$198$	−3.82861	−	3.16730i	−0.272087	−	0.225090i
$199$	−1.97473	+	6.07760i	−0.139985	+	0.430830i	−0.996332	−	0.0855711i	$-0.972729\pi$
$199$	−1.97473	+	6.07760i	−0.139985	+	0.430830i	0.856347	+	0.516401i	$0.172729\pi$
$200$	2.45518	−	4.35570i	0.173607	−	0.307994i
$201$	−3.76480	−	11.5869i	−0.265549	−	0.817275i
$202$	1.53198	−	3.86934i	0.107790	−	0.272246i
$203$	6.97203	−	7.42446i	0.489341	−	0.521095i
$204$	0.233099	+	1.22195i	0.0163202	+	0.0855533i
$205$	−4.27900	+	6.66411i	−0.298858	+	0.465442i
$206$	−10.4857	+	9.84675i	−0.730575	+	0.686056i
$207$	−5.41992	+	1.76104i	−0.376711	+	0.122401i
$208$	−4.63795	−	0.884736i	−0.321584	−	0.0613454i
$209$	1.59977	+	25.4276i	0.110658	+	1.75886i
$210$	−3.21017	−	3.45508i	−0.221523	−	0.238423i
$211$	2.06803	+	3.25869i	0.142369	+	0.224337i	0.908028	−	0.418909i	$-0.137587\pi$
$211$	2.06803	+	3.25869i	0.142369	+	0.224337i	−0.765660	+	0.643246i	$0.777587\pi$
$212$	−5.05825	+	0.318238i	−0.347402	+	0.0218567i
$213$	−11.9140	−	7.56083i	−0.816331	−	0.518059i
$214$	−9.77694	+	11.8183i	−0.668338	+	0.807882i
$215$	−9.80055	−	3.24204i	−0.668392	−	0.221106i
$216$	−0.968583	−	0.248690i	−0.0659037	−	0.0169212i
$217$	−0.805670	+	0.379119i	−0.0546924	+	0.0257363i
$218$	14.5026	+	4.71217i	0.982239	+	0.319149i
$219$	9.94730	+	5.46857i	0.672176	+	0.369532i
$220$	−11.0304	+	1.33398i	−0.743672	+	0.0899371i
$221$	−5.82724	−	0.736152i	−0.391983	−	0.0495189i
$222$	1.29660	−	10.2637i	0.0870223	−	0.688853i
$223$	−16.8100	+	10.6679i	−1.12568	+	0.714378i	−0.962247	−	0.272177i	$-0.912256\pi$
$223$	−16.8100	+	10.6679i	−1.12568	+	0.714378i	−0.163432	+	0.986555i	$0.552256\pi$
$224$	1.70635	−	1.23973i	0.114010	−	0.0828331i
$225$	3.14601	+	3.88621i	0.209734	+	0.259080i
$226$	−1.80414	−	1.31079i	−0.120010	−	0.0871923i
$227$	18.9001	+	1.18909i	1.25444	+	0.0789228i	0.676062	−	0.736845i	$-0.263685\pi$
$227$	18.9001	+	1.18909i	1.25444	+	0.0789228i	0.578380	+	0.815767i	$0.303685\pi$
$228$	2.47017	+	4.49322i	0.163591	+	0.297571i
$229$	−3.15946	+	6.71420i	−0.208783	+	0.443687i	−0.981602	−	0.190940i	$-0.938846\pi$
$229$	−3.15946	+	6.71420i	−0.208783	+	0.443687i	0.772819	+	0.634627i	$0.218846\pi$
$230$	−5.48687	+	11.5012i	−0.361794	+	0.758369i
$231$	−1.96380	+	10.2946i	−0.129208	+	0.677334i
$232$	−2.83835	−	3.90665i	−0.186347	−	0.256484i
$233$	10.6994	−	19.4622i	0.700942	−	1.27501i	−0.250778	−	0.968044i	$-0.580687\pi$
$233$	10.6994	−	19.4622i	0.700942	−	1.27501i	0.951721	−	0.306965i	$-0.0993134\pi$
$234$	2.52995	−	3.98656i	0.165388	−	0.260610i
$235$	−10.5658	+	1.95743i	−0.689238	+	0.127689i
$236$	−6.79870	−	2.69179i	−0.442557	−	0.175221i
$237$	4.62097	+	11.6712i	0.300165	+	0.758129i
$238$	2.02164	−	1.67244i	0.131043	−	0.108408i
$239$	−5.58316	+	1.43351i	−0.361145	+	0.0927262i	−0.424902	−	0.905239i	$-0.639692\pi$
$239$	−5.58316	+	1.43351i	−0.361145	+	0.0927262i	0.0637576	+	0.997965i	$0.479692\pi$
$240$	−1.89431	+	1.18810i	−0.122277	+	0.0766915i
$241$	−0.822745	+	0.325748i	−0.0529977	+	0.0209833i	−0.394474	−	0.918907i	$-0.629073\pi$
$241$	−0.822745	+	0.325748i	−0.0529977	+	0.0209833i	0.341476	+	0.939890i	$0.389073\pi$
$242$	9.37147	+	9.97960i	0.602421	+	0.641513i
$243$	0.587785	−	0.809017i	0.0377064	−	0.0518985i
$244$	1.49881	+	3.18514i	0.0959515	+	0.203907i
$245$	1.79180	−	5.41653i	0.114474	−	0.346050i
$246$	3.10367	−	1.70625i	0.197883	−	0.108787i
$247$	−23.7809	+	4.53644i	−1.51314	+	0.288647i
$248$	0.104988	+	0.408902i	0.00666675	+	0.0259653i
$249$	3.65339			0.231524
$250$	11.1457	+	0.879729i	0.704914	+	0.0556389i
$251$	−15.7677			−0.995249			−0.497624	−	0.867393i	$-0.665794\pi$
$251$	−15.7677			−0.995249			−0.497624	+	0.867393i	$0.665794\pi$
$252$	0.524527	+	2.04290i	0.0330421	+	0.128690i
$253$	27.8154	−	5.30608i	1.74874	−	0.333590i
$254$	18.1834	−	9.99642i	1.14093	−	0.627231i
$255$	−2.25903	+	1.62302i	−0.141466	+	0.101638i
$256$	−0.425779	−	0.904827i	−0.0266112	−	0.0565517i
$257$	−4.10845	+	5.65479i	−0.256278	+	0.352736i	−0.917698	−	0.397280i	$-0.869954\pi$
$257$	−4.10845	+	5.65479i	−0.256278	+	0.352736i	0.661420	+	0.750016i	$0.269954\pi$
$258$	3.16023	+	3.36530i	0.196747	+	0.209515i
$259$	−20.2875	+	8.03240i	−1.26061	+	0.499109i
$260$	−2.57126	−	10.2399i	−0.159463	−	0.635051i
$261$	4.67717	−	1.20089i	0.289510	−	0.0743335i
$262$	−0.856294	+	0.708388i	−0.0529020	+	0.0437644i
$263$	8.67959	+	21.9221i	0.535206	+	1.35178i	0.906085	+	0.423096i	$0.139057\pi$
$263$	8.67959	+	21.9221i	0.535206	+	1.35178i	−0.370879	+	0.928681i	$0.620943\pi$
$264$	4.61997	+	1.82918i	0.284340	+	0.112578i
$265$	−5.40687	−	9.96001i	−0.332141	−	0.611839i
$266$	5.79476	−	9.13108i	0.355300	−	0.559863i
$267$	−7.34032	+	13.3520i	−0.449220	+	0.817128i
$268$	7.16108	+	9.85638i	0.437433	+	0.602074i
$269$	1.43754	−	7.53585i	0.0876484	−	0.459469i	−0.911220	−	0.411919i	$-0.864859\pi$
$269$	1.43754	−	7.53585i	0.0876484	−	0.459469i	0.998869	−	0.0475501i	$-0.0151414\pi$
$270$	−0.407325	−	2.19866i	−0.0247890	−	0.133806i
$271$	5.83178	−	12.3932i	0.354255	−	0.752831i	−0.645687	−	0.763603i	$-0.723429\pi$
$271$	5.83178	−	12.3932i	0.354255	−	0.752831i	0.999942	+	0.0107715i	$0.00342874\pi$
$272$	−0.599292	−	1.09011i	−0.0363374	−	0.0660975i
$273$	−9.93892	−	0.625304i	−0.601531	−	0.0378451i
$274$	−3.53365	−	2.56734i	−0.213475	−	0.155099i
$275$	−13.0888	−	21.1172i	−0.789283	−	1.27341i
$276$	4.61046	−	3.34970i	0.277517	−	0.201628i
$277$	11.5133	−	7.30658i	0.691769	−	0.439010i	−0.142918	−	0.989734i	$-0.545649\pi$
$277$	11.5133	−	7.30658i	0.691769	−	0.439010i	0.834687	+	0.550725i	$0.185649\pi$
$278$	1.56422	−	12.3820i	0.0938154	−	0.742626i
$279$	−0.418836	−	0.0529113i	−0.0250750	−	0.00316771i
$280$	4.12073	+	2.29398i	0.246261	+	0.137091i
$281$	8.93286	+	4.91088i	0.532890	+	0.292959i	0.725390	−	0.688338i	$-0.241660\pi$
$281$	8.93286	+	4.91088i	0.532890	+	0.292959i	−0.192500	+	0.981297i	$0.561660\pi$
$282$	4.57038	+	1.48501i	0.272162	+	0.0884308i
$283$	30.0055	−	14.1195i	1.78364	−	0.839318i	0.819889	−	0.572523i	$-0.194035\pi$
$283$	30.0055	−	14.1195i	1.78364	−	0.839318i	0.963753	−	0.266795i	$-0.0859647\pi$
$284$	13.6673	+	3.50916i	0.811003	+	0.208230i
$285$	−6.78833	+	9.23972i	−0.402106	+	0.547314i
$286$	−14.9547	+	18.0771i	−0.884288	+	1.06892i
$287$	−6.30724	−	4.00270i	−0.372305	−	0.236272i
$288$	0.998027	−	0.0627905i	0.0588093	−	0.00369997i
$289$	8.27987	+	13.0470i	0.487051	+	0.767470i
$290$	5.25202	−	9.43434i	0.308409	−	0.554004i
$291$	−0.0955897	−	1.51936i	−0.00560357	−	0.0890662i
$292$	−11.1503	−	2.12704i	−0.652524	−	0.124476i
$293$	17.8883	−	5.81226i	1.04505	−	0.339556i	0.264323	−	0.964434i	$-0.414851\pi$
$293$	17.8883	−	5.81226i	1.04505	−	0.339556i	0.780722	+	0.624878i	$0.214851\pi$
$294$	−1.85992	+	1.74658i	−0.108473	+	0.101863i
$295$	−0.939968	−	16.3235i	−0.0547271	−	0.950391i
$296$	1.93851	+	10.1620i	0.112673	+	0.590655i
$297$	−3.40145	+	3.62218i	−0.197372	+	0.210180i
$298$	0.823860	−	2.08083i	0.0477250	−	0.120539i
$299$	8.31489	+	25.5906i	0.480863	+	1.47994i
$300$	−4.19294	−	2.72383i	−0.242080	−	0.157260i
$301$	3.00890	−	9.26043i	0.173430	−	0.533762i
$302$	−12.7383	−	10.5380i	−0.733005	−	0.606394i
$303$	−3.76551	−	1.77191i	−0.216323	−	0.101794i
$304$	−3.73775	−	3.50998i	−0.214375	−	0.201311i
$305$	−5.04951	+	6.03822i	−0.289134	+	0.345747i
$306$	1.23417	−	0.155912i	0.0705528	−	0.00891290i
$307$			3.85557i			0.220049i	0.993929	+	0.110024i	$0.0350929\pi$
$307$			3.85557i			0.220049i	−0.993929	+	0.110024i	$0.964907\pi$
$308$	−1.31352	−	10.3976i	−0.0748447	−	0.592457i
$309$	9.16892	+	11.0833i	0.521601	+	0.630508i
$310$	−0.730542	+	0.597849i	−0.0414920	+	0.0339556i
$311$	2.03307	−	32.3148i	0.115285	−	1.83240i	−0.338126	−	0.941101i	$-0.609793\pi$
$311$	2.03307	−	32.3148i	0.115285	−	1.83240i	0.453411	−	0.891302i	$-0.350207\pi$
$312$	−1.17421	+	4.57325i	−0.0664765	+	0.258909i
$313$	7.07365	−	27.5500i	0.399826	−	1.55722i	−0.376212	−	0.926534i	$-0.622773\pi$
$313$	7.07365	−	27.5500i	0.399826	−	1.55722i	0.776038	−	0.630686i	$-0.217227\pi$
$314$	−1.10492	+	17.5623i	−0.0623545	+	0.991096i
$315$	−3.64983	+	2.98689i	−0.205645	+	0.168292i
$316$	−8.00142	−	9.67206i	−0.450115	−	0.544096i
$317$	−1.84872	−	14.6342i	−0.103835	−	0.821936i	−0.954911	−	0.296893i	$-0.904049\pi$
$317$	−1.84872	−	14.6342i	−0.103835	−	0.821936i	0.851076	−	0.525043i	$-0.175951\pi$
$318$			5.06826i			0.284214i
$319$	−23.8051	+	3.00728i	−1.33283	+	0.168375i
$320$	1.43445	−	1.71532i	0.0801885	−	0.0958896i
$321$	11.1811	+	10.4997i	0.624067	+	0.586038i
$322$	−10.8758	−	5.11777i	−0.606085	−	0.285202i
$323$	−4.91468	−	4.06578i	−0.273460	−	0.226226i
$324$	−0.309017	+	0.951057i	−0.0171676	+	0.0528365i
$325$	18.3490	−	14.8542i	1.01782	−	0.823961i
$326$	−0.408539	−	1.25735i	−0.0226269	−	0.0696383i
$327$	5.61350	−	14.1781i	0.310427	−	0.784050i
$328$	−2.42450	+	2.58183i	−0.133871	+	0.142558i
$329$	−1.89925	−	9.95620i	−0.104709	−	0.548903i
$330$	0.638744	+	11.0924i	0.0351617	+	0.610619i
$331$	−19.6513	+	18.4538i	−1.08013	+	1.01431i	−0.0802845	+	0.996772i	$0.525583\pi$
$331$	−19.6513	+	18.4538i	−1.08013	+	1.01431i	−0.999846	+	0.0175382i	$0.994417\pi$
$332$	−3.47458	+	1.12896i	−0.190692	+	0.0619597i
$333$	−10.1620	−	1.93851i	−0.556875	−	0.106230i
$334$	−0.525214	−	8.34804i	−0.0287384	−	0.456784i
$335$	−13.2507	+	23.8026i	−0.723965	+	1.30048i
$336$	−1.13014	−	1.78082i	−0.0616544	−	0.0971518i
$337$	10.7310	−	0.675137i	0.584554	−	0.0367770i	0.232240	−	0.972659i	$-0.425395\pi$
$337$	10.7310	−	0.675137i	0.584554	−	0.0367770i	0.352315	+	0.935882i	$0.385395\pi$
$338$	−7.84663	−	4.97962i	−0.426801	−	0.270856i
$339$	−1.42148	+	1.71828i	−0.0772044	+	0.0933241i
$340$	1.64693	−	2.24166i	0.0893172	−	0.121571i
$341$	2.03179	+	0.521676i	0.110028	+	0.0282503i
$342$	4.63946	−	2.18316i	0.250873	−	0.118052i
$343$	19.1595	+	6.22531i	1.03452	+	0.336135i
$344$	−4.04549	−	2.22403i	−0.218118	−	0.119912i
$345$	11.1340	+	6.19821i	0.599435	+	0.333701i
$346$	13.7385	+	1.73557i	0.738585	+	0.0933049i
$347$	0.702253	−	5.55891i	0.0376989	−	0.298418i	−0.961981	−	0.273117i	$-0.911946\pi$
$347$	0.702253	−	5.55891i	0.0376989	−	0.298418i	0.999680	−	0.0253012i	$-0.00805448\pi$
$348$	−4.07716	+	2.58744i	−0.218559	+	0.138702i
$349$	26.5627	−	19.2989i	1.42187	−	1.03305i	0.430410	−	0.902633i	$-0.358369\pi$
$349$	26.5627	−	19.2989i	1.42187	−	1.03305i	0.991459	−	0.130415i	$-0.0416311\pi$
$350$	−0.773947	+	10.5174i	−0.0413692	+	0.562177i
$351$	−3.81984	−	2.77528i	−0.203888	−	0.148133i
$352$	−4.95910	−	0.312000i	−0.264321	−	0.0166297i
$353$	1.48991	+	2.71013i	0.0792997	+	0.144246i	0.912984	−	0.407996i	$-0.133772\pi$
$353$	1.48991	+	2.71013i	0.0792997	+	0.144246i	−0.833684	+	0.552242i	$0.813772\pi$
$354$	−3.11338	+	6.61626i	−0.165474	+	0.351650i
$355$	5.74759	+	31.0243i	0.305050	+	1.64660i
$356$	2.85507	−	14.9668i	0.151318	−	0.793238i
$357$	−1.54220	−	2.12266i	−0.0816220	−	0.112343i
$358$	8.29008	−	15.0796i	0.438144	−	0.796981i
$359$	15.4904	−	24.4090i	0.817554	−	1.28826i	−0.137105	−	0.990557i	$-0.543780\pi$
$359$	15.4904	−	24.4090i	0.817554	−	1.28826i	0.954659	−	0.297702i	$-0.0962203\pi$
$360$	1.06681	+	1.96518i	0.0562259	+	0.103574i
$361$	−6.77879	−	2.68391i	−0.356778	−	0.141258i
$362$	4.27614	+	10.8003i	0.224749	+	0.567651i
$363$	10.5484	−	8.72636i	0.553645	−	0.458015i
$364$	9.64571	−	2.47660i	0.505572	−	0.129809i
$365$	−6.18169	−	24.6182i	−0.323565	−	1.28858i
$366$	3.27296	−	1.29586i	0.171080	−	0.0677355i
$367$	17.1621	+	18.2758i	0.895854	+	0.953987i	0.999173	−	0.0406608i	$-0.0129463\pi$
$367$	17.1621	+	18.2758i	0.895854	+	0.953987i	−0.103319	+	0.994648i	$0.532946\pi$
$368$	−3.34970	+	4.61046i	−0.174615	+	0.240337i
$369$	−1.50801	−	3.20468i	−0.0785037	−	0.166829i
$370$	−18.7867	+	13.4975i	−0.976674	+	0.701699i
$371$	9.36751	−	5.14983i	0.486337	−	0.267366i
$372$	0.414687	−	0.0791058i	0.0215005	−	0.00410144i
$373$	−0.805687	−	3.13794i	−0.0417169	−	0.162477i	0.944312	−	0.329052i	$-0.106729\pi$
$373$	−0.805687	−	3.13794i	−0.0417169	−	0.162477i	−0.986029	+	0.166575i	$0.946729\pi$
$374$	−6.18122			−0.319623
$375$	1.57784	−	11.0684i	0.0814791	−	0.571572i
$376$	−4.80558			−0.247829
$377$	−5.67012	−	22.0837i	−0.292026	−	1.13737i
$378$	2.07180	−	0.395217i	0.106562	−	0.0203278i
$379$	−12.6280	+	6.94228i	−0.648655	+	0.356601i	−0.771871	−	0.635779i	$-0.780679\pi$
$379$	−12.6280	+	6.94228i	−0.648655	+	0.356601i	0.123217	+	0.992380i	$0.460679\pi$
$380$	3.60085	−	10.8852i	0.184720	−	0.558399i
$381$	−8.83495	−	18.7752i	−0.452628	−	0.961884i
$382$	3.85219	−	5.30208i	0.197095	−	0.271278i
$383$	−14.8091	−	15.7701i	−0.756710	−	0.805814i	0.229149	−	0.973391i	$-0.426406\pi$
$383$	−14.8091	−	15.7701i	−0.756710	−	0.805814i	−0.985859	+	0.167577i	$0.946406\pi$
$384$	−0.929776	+	0.368125i	−0.0474475	+	0.0187858i
$385$	19.8528	−	12.4515i	1.01179	−	0.634590i
$386$	6.66541	−	1.71139i	0.339260	−	0.0871072i
$387$	3.55709	−	2.94268i	0.180817	−	0.149585i
$388$	0.560418	+	1.41545i	0.0284509	+	0.0718588i
$389$	7.39846	+	2.92926i	0.375117	+	0.148519i	0.548115	−	0.836403i	$-0.315345\pi$
$389$	7.39846	+	2.92926i	0.375117	+	0.148519i	−0.172998	+	0.984922i	$0.555345\pi$
$390$	−10.3811	+	1.92322i	−0.525669	+	0.0973859i
$391$	−3.79861	+	5.98565i	−0.192104	+	0.302707i
$392$	1.22917	−	2.23585i	0.0620824	−	0.112927i
$393$	0.653223	+	0.899084i	0.0329507	+	0.0453528i
$394$	−1.78418	+	9.35299i	−0.0898856	+	0.471197i
$395$	12.0858	−	25.3336i	0.608105	−	1.27467i
$396$	2.11566	−	4.49600i	0.106316	−	0.225933i
$397$	−18.1476	−	33.0103i	−0.910801	−	1.65674i	−0.741261	−	0.671217i	$-0.765772\pi$
$397$	−18.1476	−	33.0103i	−0.910801	−	1.65674i	−0.169540	−	0.985523i	$-0.554228\pi$
$398$	−6.37776	−	0.401255i	−0.319688	−	0.0201131i
$399$	−8.74921	−	6.35667i	−0.438008	−	0.318232i
$400$	4.82943	+	1.29483i	0.241472	+	0.0647413i
$401$	28.2142	−	20.4988i	1.40895	−	1.02366i	0.415476	−	0.909604i	$-0.363615\pi$
$401$	28.2142	−	20.4988i	1.40895	−	1.02366i	0.993474	−	0.114058i	$-0.0363851\pi$
$402$	10.2866	−	6.52806i	0.513048	−	0.325590i
$403$	−0.249825	+	1.97757i	−0.0124447	+	0.0985097i
$404$	4.12876	+	0.521584i	0.205414	+	0.0259498i
$405$	−2.21989	+	0.268466i	−0.110307	+	0.0133402i
$406$	8.92508	+	4.90660i	0.442944	+	0.243511i
$407$	48.8887	+	15.8849i	2.42332	+	0.787385i
$408$	−1.12559	+	0.529661i	−0.0557248	+	0.0262221i
$409$	6.74380	+	1.73151i	0.333459	+	0.0856178i	0.411707	−	0.911316i	$-0.364933\pi$
$409$	6.74380	+	1.73151i	0.333459	+	0.0856178i	−0.0782480	+	0.996934i	$0.524933\pi$
$410$	−7.51889	−	2.48727i	−0.371332	−	0.122837i
$411$	−2.78416	+	3.36547i	−0.137332	+	0.166006i
$412$	−12.1451	−	7.70751i	−0.598346	−	0.379722i
$413$	15.3921	−	0.968391i	0.757397	−	0.0476514i
$414$	−3.05359	−	4.81169i	−0.150076	−	0.236482i
$415$	−5.56051	−	5.98473i	−0.272955	−	0.293779i
$416$	−0.296471	−	4.71227i	−0.0145357	−	0.231038i
$417$	−12.2594	−	2.33860i	−0.600345	−	0.114522i
$418$	−24.2309	+	7.87308i	−1.18517	+	0.385085i
$419$	−6.52733	+	6.12957i	−0.318881	+	0.299449i	−0.827413	−	0.561594i	$-0.810188\pi$
$419$	−6.52733	+	6.12957i	−0.318881	+	0.299449i	0.508532	+	0.861043i	$0.330188\pi$
$420$	2.54819	−	3.96856i	0.124339	−	0.193646i
$421$	5.98746	+	31.3873i	0.291811	+	1.52973i	0.762244	+	0.647290i	$0.224098\pi$
$421$	5.98746	+	31.3873i	0.291811	+	1.52973i	−0.470433	+	0.882436i	$0.655902\pi$
$422$	−2.64202	+	2.81346i	−0.128611	+	0.136957i
$423$	1.76905	−	4.46812i	0.0860143	−	0.217247i
$424$	−1.56618	−	4.82020i	−0.0760603	−	0.234090i
$425$	6.09700	+	1.23033i	0.295748	+	0.0596798i
$426$	4.36041	−	13.4200i	0.211262	−	0.650199i
$427$	−5.72074	−	4.73260i	−0.276846	−	0.229027i
$428$	−13.8784	−	6.53069i	−0.670839	−	0.315673i
$429$	17.1024	+	16.0602i	0.825712	+	0.775395i
$430$	0.702892	−	10.2989i	0.0338965	−	0.496657i
$431$	20.0322	−	2.53065i	0.964917	−	0.121897i	0.372943	−	0.927854i	$-0.378349\pi$
$431$	20.0322	−	2.53065i	0.964917	−	0.121897i	0.591974	+	0.805957i	$0.298349\pi$
$432$		−	1.00000i		−	0.0481125i
$433$	−0.774507	−	6.13085i	−0.0372204	−	0.294630i	−0.999727	−	0.0233712i	$-0.992560\pi$
$433$	−0.774507	−	6.13085i	−0.0372204	−	0.294630i	0.962506	−	0.271259i	$-0.0874400\pi$
$434$	−0.567570	−	0.686075i	−0.0272443	−	0.0329326i
$435$	−9.08595	−	5.83404i	−0.435638	−	0.279721i
$436$	−0.957487	+	15.2188i	−0.0458553	+	0.728850i
$437$	−7.26685	+	28.3025i	−0.347621	+	1.35389i
$438$	−2.82298	+	10.9948i	−0.134887	+	0.525350i
$439$	−1.49105	+	23.6995i	−0.0711638	+	1.13112i	0.786733	+	0.617293i	$0.211771\pi$
$439$	−1.49105	+	23.6995i	−0.0711638	+	1.13112i	−0.857897	+	0.513822i	$0.828229\pi$
$440$	−4.03523	−	10.3522i	−0.192372	−	0.493519i
$441$	1.62635	+	1.96592i	0.0774454	+	0.0936154i
$442$	−0.736152	−	5.82724i	−0.0350152	−	0.277174i
$443$		−	1.50558i		−	0.0715323i	−0.999360	−	0.0357661i	$-0.988613\pi$
$443$		−	1.50558i		−	0.0715323i	0.999360	−	0.0357661i	$-0.0113871\pi$
$444$	10.2637	−	1.29660i	0.487093	−	0.0615341i
$445$	33.0444	−	8.29751i	1.56645	−	0.393340i
$446$	−14.5133	−	13.6289i	−0.687223	−	0.645345i
$447$	−2.02500	−	0.952891i	−0.0957791	−	0.0450702i
$448$	1.62514	+	1.34443i	0.0767804	+	0.0635183i
$449$	5.63427	−	17.3405i	0.265898	−	0.818348i	−0.725588	−	0.688130i	$-0.758432\pi$
$449$	5.63427	−	17.3405i	0.265898	−	0.818348i	0.991485	−	0.130219i	$-0.0415680\pi$
$450$	−2.98173	+	4.01364i	−0.140560	+	0.189205i
$451$	5.43829	+	16.7373i	0.256079	+	0.788130i
$452$	0.820934	−	2.07344i	0.0386135	−	0.0975266i
$453$	−11.3171	+	12.0514i	−0.531722	+	0.566226i
$454$	3.54852	+	18.6020i	0.166540	+	0.873036i
$455$	14.1029	+	17.2330i	0.661152	+	0.807894i
$456$	−3.73775	+	3.50998i	−0.175036	+	0.164370i
$457$	5.00913	−	1.62757i	0.234317	−	0.0761343i	−0.189505	−	0.981880i	$-0.560688\pi$
$457$	5.00913	−	1.62757i	0.234317	−	0.0761343i	0.423822	+	0.905746i	$0.360688\pi$
$458$	−7.28898	−	1.39045i	−0.340592	−	0.0649714i
$459$	−0.0781101	−	1.24153i	−0.00364587	−	0.0579494i
$460$	−12.5044	−	2.45425i	−0.583022	−	0.114430i
$461$	−15.0523	−	23.7187i	−0.701057	−	1.10469i	−0.989125	−	0.147079i	$-0.953013\pi$
$461$	−15.0523	−	23.7187i	−0.701057	−	1.10469i	0.288067	−	0.957610i	$-0.406987\pi$
$462$	−10.4595	+	0.658058i	−0.486622	+	0.0306156i
$463$	33.2884	+	21.1255i	1.54705	+	0.981785i	0.988313	+	0.152437i	$0.0487120\pi$
$463$	33.2884	+	21.1255i	1.54705	+	0.981785i	0.558732	+	0.829348i	$0.311288\pi$
$464$	3.07805	−	3.72072i	0.142895	−	0.172730i
$465$	0.550799	+	0.766640i	0.0255427	+	0.0355521i
$466$	21.5116	+	5.52323i	0.996504	+	0.255859i
$467$	−17.1723	+	8.08066i	−0.794638	+	0.373928i	−0.779853	−	0.625963i	$-0.784706\pi$
$467$	−17.1723	+	8.08066i	−0.794638	+	0.373928i	−0.0147847	+	0.999891i	$0.504706\pi$
$468$	4.49049	+	1.45905i	0.207573	+	0.0674446i
$469$	−22.5178	−	12.3793i	−1.03977	−	0.571621i
$470$	−4.52355	−	9.74708i	−0.208656	−	0.449599i
$471$	17.4582	+	2.20549i	0.804433	+	0.101624i
$472$	0.916460	−	7.25453i	0.0421835	−	0.333917i
$473$	−19.3681	+	12.2914i	−0.890547	+	0.565158i
$474$	−10.1554	+	7.37832i	−0.466452	+	0.338897i
$475$	25.4678	−	2.94282i	1.16854	−	0.135026i
$476$	2.12266	+	1.54220i	0.0972920	+	0.0706867i
$477$	5.05825	+	0.318238i	0.231602	+	0.0145711i
$478$	−2.77695	−	5.05126i	−0.127015	−	0.231039i
$479$	4.02643	−	8.55661i	0.183972	−	0.390961i	−0.791472	−	0.611205i	$-0.790685\pi$
$479$	4.02643	−	8.55661i	0.183972	−	0.390961i	0.975445	+	0.220243i	$0.0706852\pi$
$480$	−1.62187	−	1.53933i	−0.0740279	−	0.0702605i
$481$	−9.15282	+	47.9808i	−0.417333	+	2.18773i
$482$	−0.520122	−	0.715887i	−0.0236909	−	0.0326078i
$483$	−5.79057	+	10.5330i	−0.263480	+	0.479268i
$484$	−7.33549	+	11.5589i	−0.333431	+	0.525404i
$485$	−2.34341	+	2.46907i	−0.106409	+	0.112115i
$486$	0.929776	+	0.368125i	0.0421755	+	0.0166985i
$487$	−7.94640	−	20.0703i	−0.360086	−	0.909472i	−0.991029	−	0.133644i	$-0.957332\pi$
$487$	−7.94640	−	20.0703i	−0.360086	−	0.909472i	0.630944	−	0.775828i	$-0.282668\pi$
$488$	−2.71233	+	2.24383i	−0.122781	+	0.101574i
$489$	−1.28052	+	0.328783i	−0.0579073	+	0.0148681i
$490$	5.69196	+	0.388472i	0.257137	+	0.0175494i
$491$	−28.5551	+	11.3057i	−1.28867	+	0.510221i	−0.909730	−	0.415200i	$-0.863712\pi$
$491$	−28.5551	+	11.3057i	−1.28867	+	0.510221i	−0.378941	+	0.925421i	$0.623712\pi$
$492$	2.42450	+	2.58183i	0.109305	+	0.116398i
$493$	3.53084	−	4.85979i	0.159021	−	0.218874i
$494$	−10.3080	−	21.9056i	−0.463778	−	0.985579i
$495$	11.1107	+	0.0590163i	0.499387	+	0.00265259i
$496$	−0.369946	+	0.203379i	−0.0166111	+	0.00913200i
$497$	−29.2343	+	5.57674i	−1.31134	+	0.250151i
$498$	0.908560	+	3.53861i	0.0407136	+	0.158569i
$499$	−15.0628			−0.674304			−0.337152	−	0.941450i	$-0.609464\pi$
$499$	−15.0628			−0.674304			−0.337152	+	0.941450i	$0.609464\pi$
$500$	1.91973	+	11.0143i	0.0858528	+	0.492574i
$501$	−8.36454			−0.373700
$502$	−3.92127	−	15.2723i	−0.175015	−	0.681638i
$503$	−20.5945	+	3.92860i	−0.918262	+	0.175168i	−0.624783	−	0.780798i	$-0.714813\pi$
$503$	−20.5945	+	3.92860i	−0.918262	+	0.175168i	−0.293478	+	0.955966i	$0.594813\pi$
$504$	−1.84827	+	1.01610i	−0.0823285	+	0.0452605i
$505$	2.82853	+	8.86527i	0.125868	+	0.394499i
$506$	12.0568	+	25.6220i	0.535990	+	1.13904i
$507$	−5.46249	+	7.51848i	−0.242598	+	0.333907i
$508$	14.2044	+	15.1262i	0.630218	+	0.671114i
$509$	14.9321	−	5.91205i	0.661855	−	0.262047i	−0.0130906	−	0.999914i	$-0.504167\pi$
$509$	14.9321	−	5.91205i	0.661855	−	0.262047i	0.674946	+	0.737867i	$0.264167\pi$
$510$	−2.13383	−	1.78443i	−0.0944876	−	0.0790160i
$511$	23.1897	−	5.95411i	1.02585	−	0.263394i
$512$	0.770513	−	0.637424i	0.0340522	−	0.0281704i
$513$	−1.88754	−	4.76738i	−0.0833370	−	0.210485i
$514$	−6.49887	−	2.57308i	−0.286653	−	0.113494i
$515$	4.20070	−	31.8888i	0.185105	−	1.40519i
$516$	−2.47366	+	3.89786i	−0.108897	+	0.171594i
$517$	−11.5035	+	20.9249i	−0.505925	+	0.920275i
$518$	−12.8253	−	17.6526i	−0.563513	−	0.775610i
$519$	2.59479	−	13.6024i	0.113899	−	0.597078i
$520$	9.27874	−	5.03704i	0.406900	−	0.220889i
$521$	3.18471	−	6.76785i	0.139525	−	0.296505i	−0.822837	−	0.568278i	$-0.807610\pi$
$521$	3.18471	−	6.76785i	0.139525	−	0.296505i	0.962361	+	0.271773i	$0.0876099\pi$
$522$	2.32633	+	4.23158i	0.101821	+	0.185211i
$523$	−10.3943	−	0.653957i	−0.454513	−	0.0285955i	−0.166115	−	0.986106i	$-0.553122\pi$
$523$	−10.3943	−	0.653957i	−0.454513	−	0.0285955i	−0.288397	+	0.957511i	$0.593122\pi$
$524$	−0.899084	−	0.653223i	−0.0392767	−	0.0285362i
$525$	10.4480	+	1.43281i	0.455989	+	0.0625329i
$526$	−19.0749	+	13.8587i	−0.831705	+	0.604269i
$527$	−0.443411	+	0.281397i	−0.0193153	+	0.0122579i
$528$	−0.622769	+	4.92973i	−0.0271025	+	0.214539i
$529$	9.40208	+	1.18776i	0.408786	+	0.0516417i
$530$	8.30247	−	7.71396i	0.360636	−	0.335073i
$531$	6.40772	+	3.52267i	0.278071	+	0.152871i
$532$	10.2853	+	3.34190i	0.445925	+	0.144890i
$533$	−15.1312	+	7.12018i	−0.655403	+	0.308409i
$534$	−14.7580	−	3.78920i	−0.638640	−	0.163975i
$535$	0.182174	−	34.2968i	0.00787607	−	1.48278i
$536$	−7.76584	+	9.38729i	−0.335433	+	0.405469i
$537$	−14.5293	−	9.22057i	−0.626985	−	0.397897i
$538$	7.65660	−	0.481713i	0.330100	−	0.0207681i
$539$	−6.79316	−	10.7043i	−0.292602	−	0.461067i
$540$	2.02828	−	0.941311i	0.0872834	−	0.0405076i
$541$	−2.12538	−	33.7820i	−0.0913774	−	1.45240i	−0.730297	−	0.683129i	$-0.760619\pi$
$541$	−2.12538	−	33.7820i	−0.0913774	−	1.45240i	0.638920	−	0.769273i	$-0.279381\pi$
$542$	13.4541	+	2.56651i	0.577904	+	0.110241i
$543$	11.0475	−	3.58954i	0.474093	−	0.154042i
$544$	0.906822	−	0.851563i	0.0388797	−	0.0365105i
$545$	−31.7694	+	12.3836i	−1.36085	+	0.530455i
$546$	−1.86605	−	9.78218i	−0.0798596	−	0.418639i
$547$	−26.0528	+	27.7434i	−1.11394	+	1.18622i	−0.133157	+	0.991095i	$0.542512\pi$
$547$	−26.0528	+	27.7434i	−1.11394	+	1.18622i	−0.980778	+	0.195126i	$0.937488\pi$
$548$	1.60790	−	4.06110i	0.0686863	−	0.173482i
$549$	−1.08779	−	3.34787i	−0.0464257	−	0.142884i
$550$	17.1987	−	17.9292i	0.733354	−	0.764503i
$551$	7.65122	−	23.5480i	0.325953	−	1.00318i
$552$	4.39103	+	3.63258i	0.186895	+	0.154613i
$553$	23.9560	+	11.2728i	1.01871	+	0.479369i
$554$	9.94028	+	9.33454i	0.422322	+	0.396587i
$555$	12.2912	+	19.5971i	0.521732	+	0.831852i
$556$	12.3820	−	1.56422i	0.525116	−	0.0663375i
$557$			23.6092i			1.00035i	0.865923	+	0.500177i	$0.166732\pi$
$557$			23.6092i			1.00035i	−0.865923	+	0.500177i	$0.833268\pi$
$558$	−0.0529113	−	0.418836i	−0.00223991	−	0.0177307i
$559$	−13.8941	−	16.7951i	−0.587659	−	0.710358i
$560$	−1.19712	+	4.56176i	−0.0505877	+	0.192770i
$561$	−0.388122	+	6.16902i	−0.0163865	+	0.260456i
$562$	−2.53508	+	9.87350i	−0.106936	+	0.416489i
$563$	1.06297	−	4.13999i	0.0447988	−	0.174480i	−0.942247	−	0.334919i	$-0.891291\pi$
$563$	1.06297	−	4.13999i	0.0447988	−	0.174480i	0.987046	+	0.160439i	$0.0512911\pi$
$564$	−0.301745	+	4.79610i	−0.0127058	+	0.201952i
$565$	4.97829	−	0.286668i	0.209438	−	0.0120602i
$566$	21.1380	+	25.5514i	0.888496	+	1.07401i
$567$	−0.264348	−	2.09253i	−0.0111016	−	0.0878779i
$568$			14.1106i			0.592067i
$569$	−30.5299	+	3.85683i	−1.27988	+	0.161687i	−0.735715	−	0.677291i	$-0.763154\pi$
$569$	−30.5299	+	3.85683i	−1.27988	+	0.161687i	−0.544166	+	0.838978i	$0.683154\pi$
$570$	−10.6376	−	4.27723i	−0.445561	−	0.179154i
$571$	−1.93926	−	1.82109i	−0.0811557	−	0.0762103i	0.642908	−	0.765944i	$-0.277728\pi$
$571$	−1.93926	−	1.82109i	−0.0811557	−	0.0762103i	−0.724064	+	0.689733i	$0.757728\pi$
$572$	−21.2282	−	9.98925i	−0.887597	−	0.417672i
$573$	−5.04974	−	4.17750i	−0.210956	−	0.174518i
$574$	2.30840	−	7.10452i	0.0963507	−	0.296537i
$575$	−6.79264	−	27.6727i	−0.283273	−	1.15403i
$576$	0.309017	+	0.951057i	0.0128757	+	0.0396274i
$577$	−6.70731	+	16.9407i	−0.279229	+	0.705251i	0.720699	+	0.693248i	$0.243821\pi$
$577$	−6.70731	+	16.9407i	−0.279229	+	0.705251i	−0.999928	+	0.0120034i	$0.996179\pi$
$578$	−10.5780	+	11.2644i	−0.439986	+	0.468537i
$579$	−1.28948	−	6.75971i	−0.0535891	−	0.280924i
$580$	10.4441	+	2.74079i	0.433666	+	0.113805i
$581$	5.61712	−	5.27483i	0.233038	−	0.218837i
$582$	1.44785	−	0.470435i	0.0600153	−	0.0195002i
$583$	−24.7376	−	4.71895i	−1.02453	−	0.195439i
$584$	−0.712760	−	11.3290i	−0.0294942	−	0.468797i
$585$	1.26759	+	10.4814i	0.0524082	+	0.433353i
$586$	10.0783	+	15.8809i	0.416331	+	0.656032i
$587$	−12.0912	+	0.760713i	−0.499057	+	0.0313980i	−0.310325	−	0.950631i	$-0.600438\pi$
$587$	−12.0912	+	0.760713i	−0.499057	+	0.0313980i	−0.188732	+	0.982029i	$0.560438\pi$
$588$	−2.15426	−	1.36713i	−0.0888400	−	0.0563796i
$589$	−1.37979	+	1.66788i	−0.0568531	+	0.0687236i
$590$	15.5769	−	4.96993i	0.641291	−	0.204609i
$591$	9.22250	+	2.36794i	0.379363	+	0.0974039i
$592$	−9.36066	+	4.40479i	−0.384721	+	0.181036i
$593$	−14.7267	−	4.78500i	−0.604753	−	0.196496i	−0.00939404	−	0.999956i	$-0.502990\pi$
$593$	−14.7267	−	4.78500i	−0.604753	−	0.196496i	−0.595359	+	0.803460i	$0.702990\pi$
$594$	−4.35429	−	2.39379i	−0.178659	−	0.0982184i
$595$	−1.12994	+	5.75705i	−0.0463230	+	0.236016i
$596$	2.22035	+	0.280495i	0.0909489	+	0.0114895i
$597$	−0.800926	+	6.33998i	−0.0327797	+	0.259478i
$598$	−22.7188	+	14.4178i	−0.929041	+	0.589587i
$599$	17.4295	−	12.6632i	0.712148	−	0.517406i	−0.171718	−	0.985146i	$-0.554932\pi$
$599$	17.4295	−	12.6632i	0.712148	−	0.517406i	0.883866	+	0.467740i	$0.154932\pi$
$600$	1.59551	−	4.73860i	0.0651366	−	0.193453i
$601$	−8.11059	−	5.89269i	−0.330838	−	0.240368i	0.409948	−	0.912109i	$-0.365547\pi$
$601$	−8.11059	−	5.89269i	−0.330838	−	0.240368i	−0.740786	+	0.671741i	$0.765547\pi$
$602$	9.71778	+	0.611391i	0.396067	+	0.0249184i
$603$	−5.86928	−	10.6762i	−0.239016	−	0.434768i
$604$	7.03906	−	14.9588i	0.286415	−	0.608663i
$605$	−30.3497	−	3.99794i	−1.23389	−	0.162540i
$606$	0.779802	−	4.08786i	0.0316773	−	0.166058i
$607$	−3.43596	−	4.72920i	−0.139461	−	0.191952i	0.733573	−	0.679610i	$-0.237851\pi$
$607$	−3.43596	−	4.72920i	−0.139461	−	0.191952i	−0.873035	+	0.487658i	$0.837851\pi$
$608$	2.47017	−	4.49322i	0.100179	−	0.182224i
$609$	5.45733	−	8.59938i	0.221142	−	0.348465i
$610$	−7.10428	−	3.38923i	−0.287644	−	0.137226i
$611$	−21.0966	−	8.35273i	−0.853476	−	0.337915i
$612$	0.457939	+	1.15662i	0.0185111	+	0.0467537i
$613$	24.1724	−	19.9972i	0.976316	−	0.807679i	−0.00501860	−	0.999987i	$-0.501597\pi$
$613$	24.1724	−	19.9972i	0.976316	−	0.807679i	0.981334	+	0.192309i	$0.0615975\pi$
$614$	−3.73444	+	0.958841i	−0.150710	+	0.0386957i
$615$	−2.95447	+	7.34788i	−0.119136	+	0.296295i
$616$	9.74426	−	3.85803i	0.392607	−	0.155444i
$617$	17.9859	+	19.1530i	0.724084	+	0.771071i	0.980716	−	0.195438i	$-0.0626128\pi$
$617$	17.9859	+	19.1530i	0.724084	+	0.771071i	−0.256632	+	0.966509i	$0.582613\pi$
$618$	−8.45490	+	11.6372i	−0.340106	+	0.468115i
$619$	0.859714	+	1.82699i	0.0345548	+	0.0734328i	0.921359	−	0.388712i	$-0.127080\pi$
$619$	0.859714	+	1.82699i	0.0345548	+	0.0734328i	−0.886804	+	0.462145i	$0.847080\pi$
$620$	−0.760745	−	0.558911i	−0.0305523	−	0.0224464i
$621$	−4.99393	+	2.74544i	−0.200400	+	0.110171i
$622$	31.8051	−	6.06716i	1.27527	−	0.243271i
$623$	7.99203	+	31.1269i	0.320194	+	1.24707i
$624$	−4.72158			−0.189015
$625$	−20.5330	+	14.2616i	−0.821322	+	0.570465i
$626$	28.4436			1.13684
$627$	6.33608	+	24.6774i	0.253039	+	0.985520i
$628$	−17.2853	+	3.29735i	−0.689759	+	0.131579i
$629$	−11.2774	+	6.19982i	−0.449661	+	0.247203i
$630$	−3.80073	−	2.79235i	−0.151425	−	0.111250i
$631$	−0.517322	−	1.09937i	−0.0205943	−	0.0437650i	0.894265	−	0.447537i	$-0.147699\pi$
$631$	−0.517322	−	1.09937i	−0.0205943	−	0.0437650i	−0.914860	+	0.403772i	$0.867699\pi$
$632$	7.37832	−	10.1554i	0.293494	−	0.403960i
$633$	2.64202	+	2.81346i	0.105011	+	0.111825i
$634$	13.7146	−	5.43001i	0.544678	−	0.215653i
$635$	−17.3094	+	43.0490i	−0.686901	+	1.70835i
$636$	−4.90903	+	1.26042i	−0.194656	+	0.0499791i
$637$	9.28227	−	7.67896i	0.367777	−	0.304251i
$638$	−8.83288	−	22.3093i	−0.349697	−	0.883234i
$639$	−13.1197	−	5.19445i	−0.519007	−	0.205489i
$640$	2.01817	+	0.962805i	0.0797751	+	0.0380582i
$641$	15.4725	−	24.3807i	0.611127	−	0.962981i	−0.388019	−	0.921651i	$-0.626841\pi$
$641$	15.4725	−	24.3807i	0.611127	−	0.962981i	0.999146	−	0.0413300i	$-0.0131595\pi$
$642$	−7.38924	+	13.4410i	−0.291630	+	0.530473i
$643$	12.6338	+	17.3889i	0.498228	+	0.685753i	0.981879	−	0.189508i	$-0.0606895\pi$
$643$	12.6338	+	17.3889i	0.498228	+	0.685753i	−0.483651	+	0.875261i	$0.660689\pi$
$644$	2.25228	−	11.8069i	0.0887523	−	0.465256i
$645$	−10.2345	−	1.34818i	−0.402981	−	0.0530845i
$646$	2.71581	−	5.77139i	0.106852	−	0.227072i
$647$	4.22161	+	7.67908i	0.165969	+	0.301896i	0.946192	−	0.323605i	$-0.104895\pi$
$647$	4.22161	+	7.67908i	0.165969	+	0.301896i	−0.780224	+	0.625500i	$0.784895\pi$
$648$	−0.998027	−	0.0627905i	−0.0392062	−	0.00246664i
$649$	−29.3945	−	21.3563i	−1.15383	−	0.838309i
$650$	18.9507	+	14.0785i	0.743308	+	0.552204i
$651$	−0.720359	+	0.523372i	−0.0282331	+	0.0205125i
$652$	1.11625	−	0.708394i	0.0437158	−	0.0277429i
$653$	2.76398	−	21.8792i	0.108163	−	0.856199i	−0.840917	−	0.541164i	$-0.817984\pi$
$653$	2.76398	−	21.8792i	0.108163	−	0.856199i	0.949080	−	0.315035i	$-0.102016\pi$
$654$	15.1287	+	1.91120i	0.591578	+	0.0747337i
$655$	0.478603	−	2.43848i	0.0187006	−	0.0952794i
$656$	−3.10367	−	1.70625i	−0.121178	−	0.0666181i
$657$	10.7958	+	3.50777i	0.421185	+	0.136851i
$658$	9.17109	−	4.31559i	0.357526	−	0.168239i
$659$	−0.595146	−	0.152807i	−0.0231836	−	0.00595253i	0.237080	−	0.971490i	$-0.423810\pi$
$659$	−0.595146	−	0.152807i	−0.0231836	−	0.00595253i	−0.260264	+	0.965538i	$0.583810\pi$
$660$	−10.5851	+	3.37725i	−0.412024	+	0.131459i
$661$	−26.6189	+	32.1768i	−1.03536	+	1.25153i	−0.0681134	+	0.997678i	$0.521698\pi$
$661$	−26.6189	+	32.1768i	−1.03536	+	1.25153i	−0.967243	+	0.253853i	$0.918302\pi$
$662$	−22.7611	−	14.4446i	−0.884634	−	0.561406i
$663$	−5.86196	+	0.368804i	−0.227660	+	0.0143231i
$664$	−1.95758	−	3.08466i	−0.0759689	−	0.119708i
$665$	2.90336	+	24.0073i	0.112587	+	0.930963i
$666$	−0.649584	−	10.3248i	−0.0251709	−	0.400079i
$667$	−27.0316	−	5.15655i	−1.04667	−	0.199663i
$668$	7.95515	−	2.58479i	0.307794	−	0.100008i
$669$	−14.5133	+	13.6289i	−0.561115	+	0.526922i
$670$	−26.3501	−	6.91496i	−1.01799	−	0.267148i
$671$	3.27755	+	17.1815i	0.126528	+	0.663285i
$672$	1.44382	−	1.53751i	0.0556965	−	0.0593108i
$673$	−4.62357	+	11.6778i	−0.178225	+	0.450146i	−0.991236	−	0.132103i	$-0.957827\pi$
$673$	−4.62357	+	11.6778i	−0.178225	+	0.450146i	0.813011	+	0.582249i	$0.197827\pi$
$674$	3.32262	+	10.2260i	0.127982	+	0.393889i
$675$	3.81849	+	3.22787i	0.146974	+	0.124241i
$676$	2.87180	−	8.83850i	0.110454	−	0.339942i
$677$	−12.8630	−	10.6412i	−0.494367	−	0.408976i	0.356550	−	0.934276i	$-0.383953\pi$
$677$	−12.8630	−	10.6412i	−0.494367	−	0.408976i	−0.850917	+	0.525301i	$0.823953\pi$
$678$	−2.01781	−	0.949507i	−0.0774933	−	0.0364656i
$679$	−2.34064	−	2.19801i	−0.0898257	−	0.0843520i
$680$	2.58081	+	1.03771i	0.0989696	+	0.0397942i
$681$	18.7881	−	2.37349i	0.719962	−	0.0909524i
$682$			2.09770i			0.0803250i
$683$	1.35561	+	10.7308i	0.0518710	+	0.410601i	0.996576	+	0.0826801i	$0.0263480\pi$
$683$	1.35561	+	10.7308i	0.0518710	+	0.410601i	−0.944705	+	0.327921i	$0.893652\pi$
$684$	3.26836	+	3.95077i	0.124969	+	0.151061i
$685$	9.75061	−	0.561476i	0.372552	−	0.0214529i
$686$	−1.26495	+	20.1058i	−0.0482959	+	0.767642i
$687$	−1.84538	+	7.18729i	−0.0704058	+	0.274212i
$688$	1.14808	−	4.47149i	0.0437703	−	0.170474i
$689$	1.50259	−	23.8830i	0.0572441	−	0.909869i
$690$	−3.23457	+	12.3256i	−0.123138	+	0.469229i
$691$	−10.8325	−	13.0942i	−0.412086	−	0.498126i	0.523106	−	0.852268i	$-0.324773\pi$
$691$	−10.8325	−	13.0942i	−0.412086	−	0.498126i	−0.935192	+	0.354141i	$0.884773\pi$
$692$	1.73557	+	13.7385i	0.0659766	+	0.522258i
$693$			10.4802i			0.398111i
$694$	5.55891	−	0.702253i	0.211013	−	0.0266572i
$695$	14.8280	+	23.6419i	0.562459	+	0.896788i
$696$	−3.52010	−	3.30560i	−0.133429	−	0.125298i
$697$	−3.98656	−	1.87593i	−0.151002	−	0.0710559i
$698$	25.2985	+	20.9287i	0.957563	+	0.792165i
$699$	6.86306	−	21.1223i	0.259585	−	0.798919i
$700$	−10.3794	+	1.86593i	−0.392305	+	0.0705255i
$701$	−1.96302	−	6.04156i	−0.0741424	−	0.228187i	0.907117	−	0.420879i	$-0.138278\pi$
$701$	−1.96302	−	6.04156i	−0.0741424	−	0.228187i	−0.981259	+	0.192692i	$0.938278\pi$
$702$	1.73813	−	4.39002i	0.0656015	−	0.165691i
$703$	−36.3117	+	38.6680i	−1.36952	+	1.45839i
$704$	−0.931080	−	4.88089i	−0.0350914	−	0.183956i
$705$	−10.0119	+	3.90260i	−0.377069	+	0.146980i
$706$	−2.25446	+	2.11708i	−0.0848478	+	0.0796774i
$707$	−8.34783	+	2.71237i	−0.313953	+	0.102009i
$708$	−7.18267	−	1.37017i	−0.269941	−	0.0514940i
$709$	2.16745	+	34.4506i	0.0814003	+	1.29382i	0.800677	+	0.599097i	$0.204474\pi$
$709$	2.16745	+	34.4506i	0.0814003	+	1.29382i	−0.719276	+	0.694724i	$0.755526\pi$
$710$	−28.6203	+	13.2824i	−1.07410	+	0.498481i
$711$	6.72610	+	10.5986i	0.252248	+	0.397480i
$712$	15.2066	−	0.956718i	0.569891	−	0.0358545i
$713$	2.03133	+	1.28912i	0.0760738	+	0.0482779i
$714$	1.67244	−	2.02164i	0.0625896	−	0.0756578i
$715$	0.278651	−	52.4599i	0.0104209	−	1.96189i
$716$	16.6675	+	4.27949i	0.622894	+	0.159932i
$717$	−5.21565	+	2.45430i	−0.194782	+	0.0916575i
$718$	27.4945	+	8.93350i	1.02609	+	0.333395i
$719$	8.61727	+	4.73738i	0.321370	+	0.176675i	0.634270	−	0.773111i	$-0.281301\pi$
$719$	8.61727	+	4.73738i	0.321370	+	0.176675i	−0.312900	+	0.949786i	$0.601301\pi$
$720$	−1.63813	+	1.52201i	−0.0610495	+	0.0567221i
$721$	30.0996	+	3.80247i	1.12097	+	0.141611i
$722$	0.913776	−	7.23328i	0.0340072	−	0.269195i
$723$	−0.747133	+	0.474145i	−0.0277862	+	0.0176336i
$724$	−9.39755	+	6.82772i	−0.349257	+	0.253750i
$725$	4.27201	+	23.7635i	0.158659	+	0.882553i
$726$	11.0755	+	8.04680i	0.411049	+	0.298645i
$727$	−15.4164	−	0.969916i	−0.571762	−	0.0359722i	−0.225721	−	0.974192i	$-0.572474\pi$
$727$	−15.4164	−	0.969916i	−0.571762	−	0.0359722i	−0.346040	+	0.938220i	$0.612474\pi$
$728$	4.79758	+	8.72676i	0.177810	+	0.323435i
$729$	0.425779	−	0.904827i	0.0157696	−	0.0335121i
$730$	22.3075	−	12.1098i	0.825637	−	0.448203i
$731$	1.07611	−	5.64114i	0.0398012	−	0.208645i
$732$	2.06910	+	2.84787i	0.0764760	+	0.105260i
$733$	−12.6766	+	23.0586i	−0.468221	+	0.851690i	0.531768	+	0.846890i	$0.321528\pi$
$733$	−12.6766	+	23.0586i	−0.468221	+	0.851690i	−0.999988	+	0.00480011i	$0.998472\pi$
$734$	−13.4336	+	21.1679i	−0.495842	+	0.781322i
$735$	0.745107	−	5.65634i	0.0274837	−	0.208637i
$736$	−5.29865	−	2.09788i	−0.195311	−	0.0773290i
$737$	22.2851	+	56.2859i	0.820884	+	2.07332i
$738$	2.72897	−	2.25760i	0.100455	−	0.0831035i
$739$	−34.3846	+	8.82847i	−1.26486	+	0.324761i	−0.820789	−	0.571232i	$-0.806466\pi$
$739$	−34.3846	+	8.82847i	−1.26486	+	0.324761i	−0.444070	+	0.895992i	$0.646466\pi$
$740$	−17.7455	−	14.8398i	−0.652336	−	0.545522i
$741$	−22.5096	+	8.91218i	−0.826911	+	0.327397i
$742$	7.31765	+	7.79250i	0.268639	+	0.286072i
$743$	6.92173	−	9.52695i	0.253934	−	0.349510i	−0.662950	−	0.748663i	$-0.730696\pi$
$743$	6.92173	−	9.52695i	0.253934	−	0.349510i	0.916884	+	0.399154i	$0.130696\pi$
$744$	0.179749	+	0.381986i	0.00658992	+	0.0140043i
$745$	1.52111	+	4.76752i	0.0557293	+	0.174669i
$746$	2.83899	−	1.56075i	0.103943	−	0.0571431i
$747$	3.58868	−	0.684576i	0.131303	−	0.0250473i
$748$	−1.53721	−	5.98702i	−0.0562058	−	0.218907i
$749$	32.3507			1.18207
$750$	11.1131	−	1.22434i	0.405793	−	0.0447068i
$751$	26.7118			0.974728			0.487364	−	0.873199i	$-0.337959\pi$
$751$	26.7118			0.974728			0.487364	+	0.873199i	$0.337959\pi$
$752$	−1.19510	−	4.65460i	−0.0435808	−	0.169736i
$753$	−15.4884	+	2.95457i	−0.564429	+	0.107671i
$754$	19.9798	−	10.9840i	0.727620	−	0.400013i
$755$	36.9666	+	0.196355i	1.34535	+	0.00714608i
$756$	0.898037	+	1.90842i	0.0326613	+	0.0694087i
$757$	−19.0874	+	26.2716i	−0.693744	+	0.954857i	0.306251	+	0.951951i	$0.400925\pi$
$757$	−19.0874	+	26.2716i	−0.693744	+	0.954857i	−0.999996	+	0.00290656i	$0.999075\pi$
$758$	−9.86462	−	10.5048i	−0.358299	−	0.381550i
$759$	26.3285	−	10.4242i	0.955664	−	0.378374i
$760$	11.4387	+	0.780683i	0.414926	+	0.0283184i
$761$	−23.9462	+	6.14834i	−0.868049	+	0.222877i	−0.656349	−	0.754458i	$-0.727900\pi$
$761$	−23.9462	+	6.14834i	−0.868049	+	0.222877i	−0.211700	+	0.977335i	$0.567900\pi$
$762$	15.9882	−	13.2266i	0.579192	−	0.479149i
$763$	−11.8398	−	29.9038i	−0.428628	−	1.08259i
$764$	6.09350	+	2.41259i	0.220455	+	0.0872844i
$765$	−1.91490	+	2.01757i	−0.0692332	+	0.0729455i
$766$	11.5918	−	18.2657i	0.418828	−	0.659967i
$767$	16.6326	−	30.2546i	0.600568	−	1.09243i
$768$	−0.587785	−	0.809017i	−0.0212099	−	0.0291929i
$769$	−4.57555	+	23.9858i	−0.164998	+	0.864952i	0.799460	+	0.600719i	$0.205119\pi$
$769$	−4.57555	+	23.9858i	−0.164998	+	0.864952i	−0.964459	+	0.264233i	$0.914881\pi$
$770$	16.9975	+	16.1325i	0.612549	+	0.581376i
$771$	−2.97607	+	6.32448i	−0.107181	+	0.227770i
$772$	3.31524	+	6.03040i	0.119318	+	0.217039i
$773$	51.0369	+	3.21097i	1.83567	+	0.115491i	0.942495	−	0.334220i	$-0.108473\pi$
$773$	51.0369	+	3.21097i	1.83567	+	0.115491i	0.893175	+	0.449710i	$0.148473\pi$
$774$	3.73485	+	2.71353i	0.134246	+	0.0975357i
$775$	0.417533	−	2.06912i	0.0149982	−	0.0743249i
$776$	−1.23161	+	0.894820i	−0.0442124	+	0.0321222i
$777$	−18.4231	+	11.6916i	−0.660923	+	0.419435i
$778$	−0.997308	+	7.89451i	−0.0357552	+	0.283032i
$779$	−18.0170	−	2.27608i	−0.645526	−	0.0815489i
$780$	−4.44448	−	9.57671i	−0.159138	−	0.342901i
$781$	61.4415	+	33.7777i	2.19855	+	1.20866i
$782$	−6.74227	−	2.19070i	−0.241103	−	0.0783392i
$783$	4.36930	−	2.05604i	0.156146	−	0.0734768i
$784$	2.47129	+	0.634519i	0.0882603	+	0.0226614i
$785$	−22.9588	−	31.9557i	−0.819435	−	1.14055i
$786$	−0.708388	+	0.856294i	−0.0252674	+	0.0305430i
$787$	14.1630	+	8.98814i	0.504858	+	0.320393i	0.763748	−	0.645514i	$-0.223357\pi$
$787$	14.1630	+	8.98814i	0.504858	+	0.320393i	−0.258890	+	0.965907i	$0.583357\pi$
$788$	−9.50285	+	0.597869i	−0.338525	+	0.0212982i
$789$	12.6336	+	19.9074i	0.449770	+	0.708724i
$790$	27.5433	+	5.40594i	0.979946	+	0.192335i
$791$	0.295337	+	4.69424i	0.0105010	+	0.166908i
$792$	4.88089	+	0.931080i	0.173435	+	0.0330845i
$793$	−15.8072	+	5.13609i	−0.561332	+	0.182388i
$794$	27.4601	−	25.7868i	0.974523	−	0.915138i
$795$	−7.17742	−	8.77045i	−0.254557	−	0.311056i
$796$	−1.19744	−	6.27718i	−0.0424420	−	0.222489i
$797$	31.7355	−	33.7949i	1.12413	−	1.19708i	0.145956	−	0.989291i	$-0.453374\pi$
$797$	31.7355	−	33.7949i	1.12413	−	1.19708i	0.978174	−	0.207787i	$-0.0666260\pi$
$798$	3.98113	−	10.0552i	0.140930	−	0.355949i
$799$	−1.84732	−	5.68546i	−0.0653534	−	0.201137i
$800$	−0.0531154	+	4.99972i	−0.00187791	+	0.176767i
$801$	−4.70839	+	14.4909i	−0.166363	+	0.512012i
$802$	26.8714	+	22.2300i	0.948862	+	0.784967i
$803$	−51.0359	−	24.0157i	−1.80102	−	0.847494i
$804$	8.88114	+	8.33995i	0.313214	+	0.294127i
$805$	26.0678	−	6.54567i	0.918768	−	0.230705i
$806$	−1.97757	+	0.249825i	−0.0696569	+	0.00879971i
$807$		−	7.67174i		−	0.270058i
$808$	0.521584	+	4.12876i	0.0183493	+	0.145249i
$809$	20.8874	+	25.2486i	0.734363	+	0.887693i	0.997016	−	0.0771976i	$-0.0245972\pi$
$809$	20.8874	+	25.2486i	0.734363	+	0.887693i	−0.262652	+	0.964891i	$0.584597\pi$
$810$	−0.812097	−	2.08339i	−0.0285342	−	0.0732027i
$811$	−0.933367	+	14.8354i	−0.0327750	+	0.520943i	0.947050	+	0.321086i	$0.104048\pi$
$811$	−0.933367	+	14.8354i	−0.0327750	+	0.520943i	−0.979825	+	0.199857i	$0.935952\pi$
$812$	−2.53288	+	9.86491i	−0.0888866	+	0.346190i
$813$	3.40624	−	13.2664i	0.119462	−	0.465273i
$814$	−3.22772	+	51.3032i	−0.113132	+	1.79817i
$815$	2.48756	+	1.59725i	0.0871356	+	0.0559493i
$816$	−0.792943	−	0.958503i	−0.0277585	−	0.0335543i
$817$	−2.96677	−	23.4844i	−0.103794	−	0.821614i
$818$			6.96254i			0.243440i
$819$	−9.88005	+	1.24814i	−0.345237	+	0.0436135i
$820$	0.539252	−	7.90123i	0.0188315	−	0.275923i
$821$	−33.0420	−	31.0285i	−1.15317	−	1.08290i	−0.995437	−	0.0954197i	$-0.969581\pi$
$821$	−33.0420	−	31.0285i	−1.15317	−	1.08290i	−0.157735	−	0.987481i	$-0.550419\pi$
$822$	−3.95213	−	1.85973i	−0.137846	−	0.0648656i
$823$	−19.4711	−	16.1079i	−0.678720	−	0.561486i	0.232910	−	0.972498i	$-0.425175\pi$
$823$	−19.4711	−	16.1079i	−0.678720	−	0.561486i	−0.911630	+	0.411013i	$0.865175\pi$
$824$	4.44500	−	13.6803i	0.154849	−	0.476576i
$825$	−16.8139	−	18.2905i	−0.585385	−	0.636795i
$826$	4.76583	+	14.6677i	0.165825	+	0.510356i
$827$	19.5093	−	49.2749i	0.678406	−	1.71346i	−0.0220460	−	0.999757i	$-0.507018\pi$
$827$	19.5093	−	49.2749i	0.678406	−	1.71346i	0.700452	−	0.713700i	$-0.252982\pi$
$828$	3.90113	−	4.15428i	0.135574	−	0.144371i
$829$	−1.43714	−	7.53376i	−0.0499140	−	0.261658i	0.948579	−	0.316541i	$-0.102521\pi$
$829$	−1.43714	−	7.53376i	−0.0499140	−	0.261658i	−0.998493	+	0.0548828i	$0.982521\pi$
$830$	4.41386	−	6.87415i	0.153207	−	0.238605i
$831$	9.94028	−	9.33454i	0.344824	−	0.323812i
$832$	4.49049	−	1.45905i	0.155680	−	0.0505834i
$833$	3.11773	+	0.594738i	0.108023	+	0.0206065i
$834$	−0.783654	−	12.4558i	−0.0271357	−	0.431310i
$835$	12.7310	+	13.7022i	0.440573	+	0.474185i
$836$	−13.6517	−	21.5116i	−0.472154	−	0.743996i
$837$	−0.421332	+	0.0265079i	−0.0145634	+	0.000916249i
$838$	−7.56028	−	4.79790i	−0.261165	−	0.165741i
$839$	−17.9445	+	21.6912i	−0.619512	+	0.748862i	−0.983174	−	0.182669i	$-0.941526\pi$
$839$	−17.9445	+	21.6912i	−0.619512	+	0.748862i	0.363662	+	0.931531i	$0.381526\pi$
$840$	4.47759	+	1.48120i	0.154492	+	0.0511062i
$841$	−5.50339	−	1.41303i	−0.189772	−	0.0487252i
$842$	−28.9122	+	13.6051i	−0.996381	+	0.468861i
$843$	9.69484	+	3.15004i	0.333908	+	0.108493i
$844$	−3.38211	−	1.85933i	−0.116417	−	0.0640009i
$845$	20.6302	−	2.49495i	0.709702	−	0.0858289i
$846$	4.76769	+	0.602299i	0.163916	+	0.0207075i
$847$	3.61893	−	28.6468i	0.124348	−	0.984315i
$848$	4.27927	−	2.71571i	0.146951	−	0.0932578i
$849$	26.8283	−	19.4919i	0.920744	−	0.668960i
$850$	0.324585	+	6.21142i	0.0111332	+	0.213050i
$851$	47.6964	+	34.6534i	1.63501	+	1.18790i
$852$	14.0827	+	0.886011i	0.482467	+	0.0303542i
$853$	−7.22879	−	13.1491i	−0.247509	−	0.450217i	0.723145	−	0.690696i	$-0.242696\pi$
$853$	−7.22879	−	13.1491i	−0.247509	−	0.450217i	−0.970654	+	0.240479i	$0.922696\pi$
$854$	3.16123	−	6.71796i	0.108175	−	0.229884i
$855$	−4.93674	+	10.3481i	−0.168833	+	0.353896i
$856$	2.87409	−	15.0665i	0.0982345	−	0.514963i
$857$	10.8732	+	14.9657i	0.371421	+	0.511217i	0.953286	−	0.302068i	$-0.0976769\pi$
$857$	10.8732	+	14.9657i	0.371421	+	0.511217i	−0.581865	+	0.813285i	$0.697677\pi$
$858$	−11.3025	+	20.5591i	−0.385860	+	0.701877i
$859$	−10.9400	+	17.2387i	−0.373269	+	0.588178i	−0.978090	−	0.208184i	$-0.933245\pi$
$859$	−10.9400	+	17.2387i	−0.373269	+	0.588178i	0.604821	+	0.796362i	$0.293245\pi$
$860$	10.1502	−	1.88043i	0.346117	−	0.0641220i
$861$	−6.94555	−	2.74994i	−0.236704	−	0.0937177i
$862$	7.43295	+	18.7735i	0.253167	+	0.639428i
$863$	−3.57574	+	2.95811i	−0.121720	+	0.100695i	−0.696292	−	0.717758i	$-0.745168\pi$
$863$	−3.57574	+	2.95811i	−0.121720	+	0.100695i	0.574573	+	0.818454i	$0.305168\pi$
$864$	0.968583	−	0.248690i	0.0329519	−	0.00846060i
$865$	−26.2318	+	16.4524i	−0.891908	+	0.559399i
$866$	5.74563	−	2.27486i	0.195244	−	0.0773028i
$867$	10.5780	+	11.2644i	0.359247	+	0.382559i
$868$	0.523372	−	0.720359i	0.0177644	−	0.0244506i
$869$	−26.5573	−	56.4372i	−0.900895	−	1.91450i
$870$	3.39117	−	10.2514i	0.114972	−	0.347554i
$871$	−50.4085	+	27.7123i	−1.70803	+	0.938996i
$872$	−14.9788	+	2.85736i	−0.507247	+	0.0967625i
$873$	−0.378595	−	1.47453i	−0.0128135	−	0.0499053i
$874$	−29.2205			−0.988400
$875$	−13.5549	−	19.2960i	−0.458239	−	0.652323i
$876$	−11.3514			−0.383528
$877$	11.7032	+	45.5811i	0.395190	+	1.53916i	0.785725	+	0.618576i	$0.212290\pi$
$877$	11.7032	+	45.5811i	0.395190	+	1.53916i	−0.390534	+	0.920588i	$0.627710\pi$
$878$	−23.3257	+	4.44962i	−0.787206	+	0.150168i
$879$	16.4823	−	9.06124i	0.555936	−	0.305628i
$880$	9.02340	−	6.48293i	0.304179	−	0.218540i
$881$	22.4226	+	47.6504i	0.755436	+	1.60538i	0.795328	+	0.606179i	$0.207299\pi$
$881$	22.4226	+	47.6504i	0.755436	+	1.60538i	−0.0398923	+	0.999204i	$0.512701\pi$
$882$	−1.49970	+	2.06416i	−0.0504976	+	0.0695040i
$883$	−26.0301	−	27.7192i	−0.875982	−	0.932826i	0.122236	−	0.992501i	$-0.460994\pi$
$883$	−26.0301	−	27.7192i	−0.875982	−	0.932826i	−0.998218	+	0.0596751i	$0.980994\pi$
$884$	5.46109	−	2.16220i	0.183676	−	0.0727226i
$885$	−3.98204	−	15.8582i	−0.133855	−	0.533069i
$886$	1.45828	−	0.374422i	0.0489918	−	0.0125790i
$887$	−9.19451	+	7.60636i	−0.308721	+	0.255396i	−0.778862	−	0.627195i	$-0.784203\pi$
$887$	−9.19451	+	7.60636i	−0.308721	+	0.255396i	0.470141	+	0.882591i	$0.344203\pi$
$888$	3.80834	+	9.61877i	0.127800	+	0.322785i
$889$	−40.6919	−	16.1110i	−1.36476	−	0.540347i
$890$	16.2546	+	29.9427i	0.544857	+	1.00368i
$891$	−2.66247	+	4.19539i	−0.0891962	+	0.140551i
$892$	9.59138	−	17.4467i	0.321143	−	0.584157i
$893$	−14.4833	−	19.9345i	−0.484664	−	0.667082i
$894$	0.419358	−	2.19835i	0.0140254	−	0.0735239i
$895$	7.00929	+	37.8347i	0.234295	+	1.26468i
$896$	−0.898037	+	1.90842i	−0.0300013	+	0.0637560i
$897$	12.9628	+	23.5793i	0.432816	+	0.787289i
$898$	18.1969	+	1.14485i	0.607238	+	0.0382042i
$899$	−1.64925	−	1.19825i	−0.0550055	−	0.0399639i
$900$	−4.62907	−	1.88990i	−0.154302	−	0.0629968i
$901$	5.10070	−	3.70587i	0.169929	−	0.123461i
$902$	−14.8590	+	9.42984i	−0.494752	+	0.313979i
$903$	1.22037	−	9.66021i	0.0406113	−	0.321472i
$904$	2.21246	+	0.279499i	0.0735853	+	0.00929599i
$905$	−22.6946	−	12.6339i	−0.754393	−	0.419964i
$906$	−14.4873	−	7.96444i	−0.481307	−	0.264601i
$907$	1.21777	+	0.395677i	0.0404354	+	0.0131382i	0.329165	−	0.944272i	$-0.393233\pi$
$907$	1.21777	+	0.395677i	0.0404354	+	0.0131382i	−0.288729	+	0.957411i	$0.593233\pi$
$908$	−17.1351	+	8.06317i	−0.568649	+	0.267586i
$909$	−4.03083	−	1.03494i	−0.133694	−	0.0343269i
$910$	−13.1843	+	17.9455i	−0.437056	+	0.594886i
$911$	−19.8573	+	24.0033i	−0.657900	+	0.795265i	−0.988934	−	0.148354i	$-0.952602\pi$
$911$	−19.8573	+	24.0033i	−0.657900	+	0.795265i	0.331034	+	0.943619i	$0.392602\pi$
$912$	−4.32925	−	2.74743i	−0.143356	−	0.0909764i
$913$	−18.1175	+	1.13986i	−0.599602	+	0.0377238i
$914$	2.82215	+	4.44700i	0.0933485	+	0.147094i
$915$	−3.82862	+	6.87745i	−0.126570	+	0.227361i
$916$	−0.465932	−	7.40578i	−0.0153948	−	0.244694i
$917$	2.30245	+	0.439216i	0.0760337	+	0.0145042i
$918$	1.18310	−	0.384411i	0.0390480	−	0.0126874i
$919$	13.1011	−	12.3027i	0.432164	−	0.405829i	−0.437700	−	0.899121i	$-0.644207\pi$
$919$	13.1011	−	12.3027i	0.432164	−	0.405829i	0.869864	+	0.493292i	$0.164207\pi$
$920$	−0.732576	−	12.7219i	−0.0241523	−	0.419429i
$921$	0.722462	+	3.78728i	0.0238059	+	0.124795i
$922$	19.2302	−	20.4780i	0.633312	−	0.674408i
$923$	−24.5260	+	61.9457i	−0.807284	+	2.03897i
$924$	−3.23857	−	9.96728i	−0.106541	−	0.327899i
$925$	13.3953	−	49.9617i	0.440435	−	1.64273i
$926$	−12.1833	+	37.4963i	−0.400368	+	1.23221i
$927$	11.0833	+	9.16892i	0.364024	+	0.301147i
$928$	4.36930	+	2.05604i	0.143429	+	0.0674928i
$929$	−15.5945	−	14.6442i	−0.511640	−	0.480462i	0.385190	−	0.922837i	$-0.374136\pi$
$929$	−15.5945	−	14.6442i	−0.511640	−	0.480462i	−0.896830	+	0.442375i	$0.854136\pi$
$930$	−0.605576	+	0.724150i	−0.0198576	+	0.0237458i
$931$	12.9793	−	1.63966i	0.425378	−	0.0537377i
$932$			22.2093i			0.727490i
$933$	−4.05812	−	32.1233i	−0.132857	−	1.05167i
$934$	−12.0974	−	14.6232i	−0.395838	−	0.478485i
$935$	10.6964	−	8.75354i	0.349809	−	0.286272i
$936$	−0.296471	+	4.71227i	−0.00969045	+	0.154025i
$937$	−7.04534	+	27.4398i	−0.230161	+	0.896418i	0.743559	+	0.668670i	$0.233136\pi$
$937$	−7.04534	+	27.4398i	−0.230161	+	0.896418i	−0.973720	+	0.227748i	$0.926864\pi$
$938$	6.39039	−	24.8889i	0.208654	−	0.812653i
$939$	1.78599	−	28.3875i	0.0582836	−	0.926392i
$940$	8.31590	−	6.80543i	0.271235	−	0.221969i
$941$	−0.0227521	−	0.0275025i	−0.000741696	−	0.000896556i	0.770142	−	0.637872i	$-0.220185\pi$
$941$	−0.0227521	−	0.0275025i	−0.000741696	−	0.000896556i	−0.770884	+	0.636976i	$0.780185\pi$
$942$	2.20549	+	17.4582i	0.0718587	+	0.568820i
$943$			20.1839i			0.657279i
$944$	7.25453	−	0.916460i	0.236115	−	0.0298282i
$945$	−3.02549	+	3.61789i	−0.0984193	+	0.117690i
$946$	−16.7219	−	15.7029i	−0.543675	−	0.510545i
$947$	30.3802	+	14.2958i	0.987223	+	0.464552i	0.850453	−	0.526051i	$-0.176328\pi$
$947$	30.3802	+	14.2958i	0.987223	+	0.464552i	0.136770	+	0.990603i	$0.456328\pi$
$948$	−9.67206	−	8.00142i	−0.314134	−	0.259874i
$949$	16.5622	−	50.9733i	0.537633	−	1.65466i
$950$	9.18395	+	23.9358i	0.297967	+	0.776581i
$951$	−4.55815	−	14.0285i	−0.147808	−	0.454906i
$952$	−0.965868	+	2.43950i	−0.0313039	+	0.0790647i
$953$	−19.5201	+	20.7868i	−0.632318	+	0.673350i	−0.962723	−	0.270489i	$-0.912815\pi$
$953$	−19.5201	+	20.7868i	−0.632318	+	0.673350i	0.330405	+	0.943839i	$0.392815\pi$
$954$	0.949696	+	4.97848i	0.0307476	+	0.161184i
$955$	0.842470	+	14.6303i	0.0272617	+	0.473427i
$956$	4.20196	−	3.94590i	0.135901	−	0.127620i
$957$	−22.8199	+	7.41464i	−0.737663	+	0.239681i
$958$	9.28912	+	1.77199i	0.300118	+	0.0572505i
$959$	0.578454	+	9.19427i	0.0186793	+	0.296898i
$960$	1.08763	−	1.95373i	0.0351030	−	0.0630564i
$961$	−16.5151	−	26.0237i	−0.532746	−	0.839474i
$962$	−48.7496	+	3.06706i	−1.57175	+	0.0988861i
$963$	12.9505	+	8.21863i	0.417323	+	0.264841i
$964$	0.564047	−	0.681816i	0.0181667	−	0.0219598i
$965$	−9.11068	+	12.4007i	−0.293283	+	0.399193i
$966$	−11.6421	−	2.98920i	−0.374580	−	0.0961758i
$967$	−24.2778	+	11.4243i	−0.780723	+	0.367380i	−0.774478	−	0.632600i	$-0.781988\pi$
$967$	−24.2778	+	11.4243i	−0.780723	+	0.367380i	−0.00624431	+	0.999981i	$0.501988\pi$
$968$	−13.0200	−	4.23045i	−0.418478	−	0.135972i
$969$	−5.58948	−	3.07284i	−0.179560	−	0.0987139i
$970$	−2.97428	−	1.65576i	−0.0954984	−	0.0531632i
$971$	54.0105	+	6.82312i	1.73328	+	0.218964i	0.927649	−	0.373453i	$-0.121826\pi$
$971$	54.0105	+	6.82312i	1.73328	+	0.218964i	0.805631	+	0.592417i	$0.201826\pi$
$972$	−0.125333	+	0.992115i	−0.00402007	+	0.0318221i
$973$	−22.2255	+	14.1047i	−0.712516	+	0.452176i
$974$	17.4636	−	12.6880i	0.559569	−	0.406551i
$975$	15.2406	−	18.0293i	0.488091	−	0.577401i
$976$	−2.84787	−	2.06910i	−0.0911581	−	0.0662302i
$977$	−13.6967	−	0.861725i	−0.438197	−	0.0275690i	−0.157840	−	0.987465i	$-0.550453\pi$
$977$	−13.6967	−	0.861725i	−0.438197	−	0.0275690i	−0.280357	+	0.959896i	$0.590453\pi$
$978$	−0.636907	−	1.15853i	−0.0203660	−	0.0370457i
$979$	32.2356	−	68.5040i	1.03025	−	2.18940i
$980$	1.03927	+	5.60975i	0.0331982	+	0.179197i
$981$	2.85736	−	14.9788i	0.0912285	−	0.478237i
$982$	−18.0519	−	24.8463i	−0.576060	−	0.792878i
$983$	5.18239	−	9.42674i	0.165293	−	0.300666i	−0.780669	−	0.624945i	$-0.785121\pi$
$983$	5.18239	−	9.42674i	0.165293	−	0.300666i	0.945962	+	0.324278i	$0.105121\pi$
$984$	−1.89777	+	2.99041i	−0.0604987	+	0.0953306i
$985$	−10.1578	−	18.7117i	−0.323654	−	0.596204i
$986$	5.58520	+	2.21134i	0.177869	+	0.0704233i
$987$	−3.73121	−	9.42397i	−0.118766	−	0.299968i
$988$	18.6539	−	15.4318i	0.593459	−	0.490952i
$989$	−25.4823	+	6.54275i	−0.810291	+	0.208047i
$990$	2.70595	+	10.7763i	0.0860006	+	0.342492i
$991$	−34.1308	+	13.5134i	−1.08420	+	0.429266i	−0.841180	−	0.540755i	$-0.818139\pi$
$991$	−34.1308	+	13.5134i	−1.08420	+	0.429266i	−0.243022	+	0.970021i	$0.578139\pi$
$992$	−0.288992	−	0.307745i	−0.00917549	−	0.00977091i
$993$	−15.8453	+	21.8092i	−0.502835	+	0.692093i
$994$	−12.6718	−	26.9290i	−0.401926	−	0.854135i
$995$	11.6047	−	8.33752i	0.367895	−	0.264317i
$996$	−3.20149	+	1.76003i	−0.101443	+	0.0557688i
$997$	−49.6849	+	9.47790i	−1.57354	+	0.300168i	−0.898958	−	0.438036i	$-0.855674\pi$
$997$	−49.6849	+	9.47790i	−1.57354	+	0.300168i	−0.674578	+	0.738204i	$0.735674\pi$
$998$	−3.74597	−	14.5896i	−0.118577	−	0.461825i
$999$	−10.3453			−0.327309

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	750.2.o.a.229.8	✓	240
125.119	even	50	inner	750.2.o.a.619.8	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
750.2.o.a.229.8	✓	240	1.1	even	1	trivial
750.2.o.a.619.8	yes	240	125.119	even	50	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 750 = 2 \cdot 3 \cdot 5^{3} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	750.o (of order \(50\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(0.248690 + 0.968583i) q^{2} +(0.982287 - 0.187381i) q^{3} +(-0.876307 + 0.481754i) q^{4} +(-1.80201 - 1.32392i) q^{5} +(0.425779 + 0.904827i) q^{6} +(1.23973 - 1.70635i) q^{7} +(-0.684547 - 0.728969i) q^{8} +(0.929776 - 0.368125i) q^{9} +(0.834183 - 2.07464i) q^{10} +(-4.81280 + 1.23572i) q^{11} +(-0.770513 + 0.637424i) q^{12} +(-1.73813 - 4.39002i) q^{13} +(1.96105 + 0.776433i) q^{14} +(-2.01817 - 0.962805i) q^{15} +(0.535827 - 0.844328i) q^{16} +(0.599292 - 1.09011i) q^{17} +(0.587785 + 0.809017i) q^{18} +(0.960789 - 5.03663i) q^{19} +(2.21692 + 0.292033i) q^{20} +(0.898037 - 1.90842i) q^{21} +(-2.39379 - 4.35429i) q^{22} +(-5.68760 - 0.357833i) q^{23} +(-0.809017 - 0.587785i) q^{24} +(1.49448 + 4.77143i) q^{25} +(3.81984 - 2.77528i) q^{26} +(0.844328 - 0.535827i) q^{27} +(-0.264348 + 2.09253i) q^{28} +(4.79080 + 0.605219i) q^{29} +(0.430658 - 2.19420i) q^{30} +(-0.369946 - 0.203379i) q^{31} +(0.951057 + 0.309017i) q^{32} +(-4.49600 + 2.11566i) q^{33} +(1.20490 + 0.309365i) q^{34} +(-4.49307 + 1.43355i) q^{35} +(-0.637424 + 0.770513i) q^{36} +(-8.73478 - 5.54326i) q^{37} +(5.11733 - 0.321955i) q^{38} +(-2.52995 - 3.98656i) q^{39} +(0.268466 + 2.21989i) q^{40} +(-0.222389 - 3.53477i) q^{41} +(2.07180 + 0.395217i) q^{42} +(4.39058 - 1.42659i) q^{43} +(3.62218 - 3.40145i) q^{44} +(-2.16283 - 0.567584i) q^{45} +(-1.06786 - 5.59790i) q^{46} +(3.28965 - 3.50312i) q^{47} +(0.368125 - 0.929776i) q^{48} +(0.788440 + 2.42657i) q^{49} +(-4.24986 + 2.63414i) q^{50} +(0.384411 - 1.18310i) q^{51} +(3.63804 + 3.00965i) q^{52} +(4.58590 + 2.15796i) q^{53} +(0.728969 + 0.684547i) q^{54} +(10.3087 + 4.14498i) q^{55} +(-2.09253 + 0.264348i) q^{56} -5.12745i q^{57} +(0.605219 + 4.79080i) q^{58} +(4.66096 + 5.63413i) q^{59} +(2.23237 - 0.128548i) q^{60} +(0.221033 - 3.51321i) q^{61} +(0.104988 - 0.408902i) q^{62} +(0.524527 - 2.04290i) q^{63} +(-0.0627905 + 0.998027i) q^{64} +(-2.67989 + 10.2120i) q^{65} +(-3.16730 - 3.82861i) q^{66} +(-1.52695 - 12.0871i) q^{67} +1.24398i q^{68} +(-5.65391 + 0.714254i) q^{69} +(-2.50589 - 3.99541i) q^{70} +(-10.2862 - 9.65936i) q^{71} +(-0.904827 - 0.425779i) q^{72} +(8.74640 + 7.23565i) q^{73} +(3.19686 - 9.83892i) q^{74} +(2.36209 + 4.40687i) q^{75} +(1.58447 + 4.87650i) q^{76} +(-3.85803 + 9.74426i) q^{77} +(3.23215 - 3.44189i) q^{78} +(2.35215 + 12.3304i) q^{79} +(-2.08339 + 0.812097i) q^{80} +(0.728969 - 0.684547i) q^{81} +(3.36841 - 1.09446i) q^{82} +(3.58868 + 0.684576i) q^{83} +(0.132435 + 2.10500i) q^{84} +(-2.52314 + 1.17097i) q^{85} +(2.47366 + 3.89786i) q^{86} +(4.81935 - 0.303208i) q^{87} +(4.19539 + 2.66247i) q^{88} +(-9.71221 + 11.7400i) q^{89} +(0.0118771 - 2.23604i) q^{90} +(-9.64571 - 2.47660i) q^{91} +(5.15647 - 2.42645i) q^{92} +(-0.401503 - 0.130456i) q^{93} +(4.21116 + 2.31511i) q^{94} +(-8.39944 + 7.80406i) q^{95} +(0.992115 + 0.125333i) q^{96} +(0.190802 - 1.51036i) q^{97} +(-2.15426 + 1.36713i) q^{98} +(-4.01993 + 2.92065i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 10 q^{11} + 20 q^{13} - 10 q^{17} + 10 q^{19} + 60 q^{23} - 60 q^{24} + 60 q^{25} + 10 q^{28} + 20 q^{29} + 10 q^{30} - 30 q^{31} - 10 q^{34} - 10 q^{35} + 20 q^{37} - 90 q^{38} - 20 q^{41} - 10 q^{42}+ \cdots - 20 q^{99}+O(q^{100}) \) 240 * q - 10 * q^11 + 20 * q^13 - 10 * q^17 + 10 * q^19 + 60 * q^23 - 60 * q^24 + 60 * q^25 + 10 * q^28 + 20 * q^29 + 10 * q^30 - 30 * q^31 - 10 * q^34 - 10 * q^35 + 20 * q^37 - 90 * q^38 - 20 * q^41 - 10 * q^42 - 10 * q^46 + 140 * q^47 + 50 * q^49 + 20 * q^50 + 10 * q^51 - 80 * q^52 + 30 * q^53 - 10 * q^55 - 30 * q^58 + 20 * q^59 + 40 * q^60 - 100 * q^61 - 10 * q^62 - 10 * q^63 - 20 * q^65 - 40 * q^66 - 10 * q^67 - 10 * q^69 + 10 * q^70 + 80 * q^71 + 20 * q^73 - 80 * q^75 + 10 * q^76 + 20 * q^77 + 140 * q^79 + 100 * q^82 - 70 * q^83 - 20 * q^85 + 20 * q^86 + 30 * q^87 - 10 * q^88 + 40 * q^89 + 10 * q^90 + 170 * q^91 + 120 * q^92 + 50 * q^93 - 30 * q^94 + 220 * q^95 - 60 * q^97 - 120 * q^98 - 20 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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