LMFDB - Embedded newform 840.2.dc.e.317.31

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [840,2,Mod(53,840)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("840.53"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(840, base_ring=CyclotomicField(12)) chi = DirichletCharacter(H, H._module([0, 6, 6, 9, 8])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 840 = 2^{3} \cdot 3 \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	840.dc (of order $12$, degree $4$, minimal)

Newform invariants

comment:select newform

sage:traces = [704,0,0,0,0] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(5)] == traces)

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

Self dual:	no
Analytic conductor:	$6.70743376979$
Analytic rank:	$0$
Dimension:	$704$
Relative dimension:	$176$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			317.31
Character	$\chi$	$=$	840.317
Dual form			840.2.dc.e.53.31

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.15675 + 0.813596i) q^{2} +(1.62621 - 0.596176i) q^{3} +(0.676122 - 1.88225i) q^{4} +(1.61503 + 1.54650i) q^{5} +(-1.39607 + 2.01271i) q^{6} +(-2.64070 + 0.163401i) q^{7} +(0.749289 + 2.72737i) q^{8} +(2.28915 - 1.93902i) q^{9} +(-3.12641 - 0.474926i) q^{10} +(-2.26343 - 3.92037i) q^{11} +(-0.0226321 - 3.46403i) q^{12} +(-0.229579 - 0.229579i) q^{13} +(2.92168 - 2.33748i) q^{14} +(3.54838 + 1.55210i) q^{15} +(-3.08572 - 2.54526i) q^{16} +(6.05216 + 1.62167i) q^{17} +(-1.07038 + 4.10540i) q^{18} +(3.28122 - 5.68324i) q^{19} +(4.00286 - 1.99427i) q^{20} +(-4.19693 + 1.84005i) q^{21} +(5.80781 + 2.69336i) q^{22} +(5.55149 - 1.48752i) q^{23} +(2.84450 + 3.98859i) q^{24} +(0.216658 + 4.99530i) q^{25} +(0.452350 + 0.0787800i) q^{26} +(2.56665 - 4.51800i) q^{27} +(-1.47788 + 5.08093i) q^{28} +0.429607i q^{29} +(-5.36735 + 1.09156i) q^{30} +(2.50770 + 4.34346i) q^{31} +(5.64021 + 0.433688i) q^{32} +(-6.01805 - 5.02596i) q^{33} +(-8.32019 + 3.04815i) q^{34} +(-4.51752 - 3.81995i) q^{35} +(-2.10197 - 5.61976i) q^{36} +(0.269605 + 1.00618i) q^{37} +(0.828326 + 9.24366i) q^{38} +(-0.510215 - 0.236475i) q^{39} +(-3.00776 + 5.56357i) q^{40} +2.07585i q^{41} +(3.35773 - 5.54307i) q^{42} +(1.23989 + 1.23989i) q^{43} +(-8.90946 + 1.60968i) q^{44} +(6.69575 + 0.408594i) q^{45} +(-5.21142 + 6.23735i) q^{46} +(-1.96466 - 7.33221i) q^{47} +(-6.53546 - 2.29951i) q^{48} +(6.94660 - 0.862984i) q^{49} +(-4.31478 - 5.60202i) q^{50} +(10.8089 - 0.970966i) q^{51} +(-0.587349 + 0.276902i) q^{52} +(11.2309 + 3.00932i) q^{53} +(0.706867 + 7.31439i) q^{54} +(2.40736 - 9.83192i) q^{55} +(-2.42430 - 7.07974i) q^{56} +(1.94776 - 11.1984i) q^{57} +(-0.349527 - 0.496946i) q^{58} +(-1.56340 + 0.902632i) q^{59} +(5.32058 - 5.62952i) q^{60} +(-12.1211 - 6.99814i) q^{61} +(-6.43459 - 2.98403i) q^{62} +(-5.72812 + 5.49442i) q^{63} +(-6.87713 + 4.08718i) q^{64} +(-0.0157329 - 0.725823i) q^{65} +(11.0505 + 0.917499i) q^{66} +(-1.44231 - 0.386465i) q^{67} +(7.14438 - 10.2952i) q^{68} +(8.14109 - 5.72869i) q^{69} +(8.33352 + 0.743282i) q^{70} +15.8264i q^{71} +(7.00367 + 4.79047i) q^{72} +(-13.7419 - 3.68214i) q^{73} +(-1.13049 - 0.944545i) q^{74} +(3.33041 + 7.99427i) q^{75} +(-8.47877 - 10.0186i) q^{76} +(6.61762 + 9.98268i) q^{77} +(0.782584 - 0.141567i) q^{78} +(-4.85675 - 2.80405i) q^{79} +(-1.04728 - 8.88275i) q^{80} +(1.48040 - 8.87741i) q^{81} +(-1.68891 - 2.40124i) q^{82} +(-4.47966 + 4.47966i) q^{83} +(0.625788 + 9.14376i) q^{84} +(7.26651 + 11.9787i) q^{85} +(-2.44302 - 0.425469i) q^{86} +(0.256121 + 0.698633i) q^{87} +(8.99635 - 9.11070i) q^{88} +(4.03760 - 6.99333i) q^{89} +(-8.07771 + 4.97500i) q^{90} +(0.643763 + 0.568737i) q^{91} +(0.953607 - 11.4550i) q^{92} +(6.66752 + 5.56837i) q^{93} +(8.23807 + 6.88307i) q^{94} +(14.0884 - 4.10420i) q^{95} +(9.43074 - 2.65728i) q^{96} +(5.18418 + 5.18418i) q^{97} +(-7.33333 + 6.64998i) q^{98} +(-12.7830 - 4.58548i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 704 q - 16 q^{6} - 24 q^{7} + 12 q^{10} + 10 q^{12} + 32 q^{15} - 72 q^{16} + 6 q^{18} + 64 q^{22} - 8 q^{25} + 24 q^{28} + 8 q^{30} - 16 q^{31} + 44 q^{33} - 240 q^{36} + 16 q^{40} - 78 q^{42} - 8 q^{46}+ \cdots - 80 q^{97}+O(q^{100}) $ 704 * q - 16 * q^6 - 24 * q^7 + 12 * q^10 + 10 * q^12 + 32 * q^15 - 72 * q^16 + 6 * q^18 + 64 * q^22 - 8 * q^25 + 24 * q^28 + 8 * q^30 - 16 * q^31 + 44 * q^33 - 240 * q^36 + 16 * q^40 - 78 * q^42 - 8 * q^46 - 20 * q^48 - 60 * q^52 + 272 * q^55 + 8 * q^57 - 20 * q^58 - 14 * q^60 + 12 * q^63 - 84 * q^66 + 112 * q^70 - 38 * q^72 + 104 * q^73 - 64 * q^76 - 16 * q^78 - 168 * q^81 - 72 * q^82 - 64 * q^87 + 52 * q^88 - 44 * q^90 + 40 * q^96 - 80 * q^97

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/840\mathbb{Z}\right)^\times$.

$n$	$241$	$281$	$337$	$421$	$631$
$\chi(n)$	$e\left(\frac{1}{3}\right)$	$-1$	$e\left(\frac{1}{4}\right)$	$-1$	$1$

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 $

$2$	−1.15675	+	0.813596i	−0.817943	+	0.575300i
$2$	−1.15675	+	0.813596i	−0.817943	+	0.575300i
$3$	1.62621	−	0.596176i	0.938895	−	0.344202i
$3$	1.62621	−	0.596176i	0.938895	−	0.344202i
$4$	0.676122	−	1.88225i	0.338061	−	0.941124i
$5$	1.61503	+	1.54650i	0.722264	+	0.691617i
$5$	1.61503	+	1.54650i	0.722264	+	0.691617i
$6$	−1.39607	+	2.01271i	−0.569943	+	0.821684i
$7$	−2.64070	+	0.163401i	−0.998091	+	0.0617596i
$7$	−2.64070	+	0.163401i	−0.998091	+	0.0617596i
$8$	0.749289	+	2.72737i	0.264914	+	0.964272i
$9$	2.28915	−	1.93902i	0.763049	−	0.646340i
$10$	−3.12641	−	0.474926i	−0.988658	−	0.150185i
$11$	−2.26343	−	3.92037i	−0.682449	−	1.18204i	−0.974231	−	0.225551i	$-0.927582\pi$
$11$	−2.26343	−	3.92037i	−0.682449	−	1.18204i	0.291782	−	0.956485i	$-0.405752\pi$
$12$	−0.0226321	−	3.46403i	−0.00653331	−	0.999979i
$13$	−0.229579	−	0.229579i	−0.0636738	−	0.0636738i	0.674553	−	0.738227i	$-0.264336\pi$
$13$	−0.229579	−	0.229579i	−0.0636738	−	0.0636738i	−0.738227	+	0.674553i	$0.764336\pi$
$14$	2.92168	−	2.33748i	0.780851	−	0.624717i
$15$	3.54838	+	1.55210i	0.916187	+	0.400751i
$16$	−3.08572	−	2.54526i	−0.771430	−	0.636315i
$17$	6.05216	+	1.62167i	1.46786	+	0.393313i	0.902198	−	0.431322i	$-0.141953\pi$
$17$	6.05216	+	1.62167i	1.46786	+	0.393313i	0.565665	+	0.824635i	$0.308619\pi$
$18$	−1.07038	+	4.10540i	−0.252292	+	0.967651i
$19$	3.28122	−	5.68324i	0.752764	−	1.30383i	−0.193714	−	0.981058i	$-0.562053\pi$
$19$	3.28122	−	5.68324i	0.752764	−	1.30383i	0.946478	−	0.322767i	$-0.104613\pi$
$20$	4.00286	−	1.99427i	0.895067	−	0.445932i
$21$	−4.19693	+	1.84005i	−0.915845	+	0.401531i
$22$	5.80781	+	2.69336i	1.23823	+	0.574225i
$23$	5.55149	−	1.48752i	1.15757	−	0.310169i	0.371572	−	0.928404i	$-0.378819\pi$
$23$	5.55149	−	1.48752i	1.15757	−	0.310169i	0.785993	+	0.618235i	$0.212152\pi$
$24$	2.84450	+	3.98859i	0.580631	+	0.814167i
$25$	0.216658	+	4.99530i	0.0433316	+	0.999061i
$26$	0.452350	+	0.0787800i	0.0887131	+	0.0154500i
$27$	2.56665	−	4.51800i	0.493952	−	0.869489i
$28$	−1.47788	+	5.08093i	−0.279292	+	0.960206i
$29$			0.429607i			0.0797760i	0.999204	+	0.0398880i	$0.0127001\pi$
$29$			0.429607i			0.0797760i	−0.999204	+	0.0398880i	$0.987300\pi$
$30$	−5.36735	+	1.09156i	−0.979940	+	0.199290i
$31$	2.50770	+	4.34346i	0.450396	+	0.780109i	0.998410	−	0.0563602i	$-0.0179495\pi$
$31$	2.50770	+	4.34346i	0.450396	+	0.780109i	−0.548015	+	0.836469i	$0.684616\pi$
$32$	5.64021	+	0.433688i	0.997057	+	0.0766660i
$33$	−6.01805	−	5.02596i	−1.04761	−	0.874908i
$34$	−8.32019	+	3.04815i	−1.42690	+	0.522754i
$35$	−4.51752	−	3.81995i	−0.763600	−	0.645690i
$36$	−2.10197	−	5.61976i	−0.350329	−	0.936627i
$37$	0.269605	+	1.00618i	0.0443228	+	0.165415i	0.984540	−	0.175161i	$-0.0560446\pi$
$37$	0.269605	+	1.00618i	0.0443228	+	0.165415i	−0.940217	+	0.340576i	$0.889378\pi$
$38$	0.828326	+	9.24366i	0.134372	+	1.49952i
$39$	−0.510215	−	0.236475i	−0.0816998	−	0.0378664i
$40$	−3.00776	+	5.56357i	−0.475569	+	0.879678i
$41$			2.07585i			0.324194i	0.986775	+	0.162097i	$0.0518257\pi$
$41$			2.07585i			0.324194i	−0.986775	+	0.162097i	$0.948174\pi$
$42$	3.35773	−	5.54307i	0.518108	−	0.855315i
$43$	1.23989	+	1.23989i	0.189082	+	0.189082i	0.795299	−	0.606217i	$-0.207314\pi$
$43$	1.23989	+	1.23989i	0.189082	+	0.189082i	−0.606217	+	0.795299i	$0.707314\pi$
$44$	−8.90946	+	1.60968i	−1.34315	+	0.242669i
$45$	6.69575	+	0.408594i	0.998143	+	0.0609096i
$46$	−5.21142	+	6.23735i	−0.768382	+	0.919647i
$47$	−1.96466	−	7.33221i	−0.286575	−	1.06951i	−0.947681	−	0.319220i	$-0.896579\pi$
$47$	−1.96466	−	7.33221i	−0.286575	−	1.06951i	0.661105	−	0.750293i	$-0.270088\pi$
$48$	−6.53546	−	2.29951i	−0.943313	−	0.331905i
$49$	6.94660	−	0.862984i	0.992372	−	0.123283i
$50$	−4.31478	−	5.60202i	−0.610202	−	0.792246i
$51$	10.8089	−	0.970966i	1.51355	−	0.135962i
$52$	−0.587349	+	0.276902i	−0.0814506	+	0.0383993i
$53$	11.2309	+	3.00932i	1.54269	+	0.413362i	0.927133	−	0.374733i	$-0.122266\pi$
$53$	11.2309	+	3.00932i	1.54269	+	0.413362i	0.615554	+	0.788095i	$0.288932\pi$
$54$	0.706867	+	7.31439i	0.0961924	+	0.995363i
$55$	2.40736	−	9.83192i	0.324608	−	1.32574i
$56$	−2.42430	−	7.07974i	−0.323961	−	0.946070i
$57$	1.94776	−	11.1984i	0.257987	−	1.48326i
$58$	−0.349527	−	0.496946i	−0.0458951	−	0.0652522i
$59$	−1.56340	+	0.902632i	−0.203538	+	0.117513i	−0.598305	−	0.801269i	$-0.704159\pi$
$59$	−1.56340	+	0.902632i	−0.203538	+	0.117513i	0.394767	+	0.918781i	$0.370825\pi$
$60$	5.32058	−	5.62952i	0.686884	−	0.726767i
$61$	−12.1211	−	6.99814i	−1.55195	−	0.896020i	−0.997983	−	0.0634829i	$-0.979779\pi$
$61$	−12.1211	−	6.99814i	−1.55195	−	0.896020i	−0.553969	−	0.832537i	$-0.686887\pi$
$62$	−6.43459	−	2.98403i	−0.817194	−	0.378972i
$63$	−5.72812	+	5.49442i	−0.721675	+	0.692232i
$64$	−6.87713	+	4.08718i	−0.859641	+	0.510898i
$65$	−0.0157329	−	0.725823i	−0.00195143	−	0.0900272i
$66$	11.0505	+	0.917499i	1.36022	+	0.112936i
$67$	−1.44231	−	0.386465i	−0.176206	−	0.0472142i	0.169637	−	0.985507i	$-0.445740\pi$
$67$	−1.44231	−	0.386465i	−0.176206	−	0.0472142i	−0.345843	+	0.938292i	$0.612407\pi$
$68$	7.14438	−	10.2952i	0.866383	−	1.24848i
$69$	8.14109	−	5.72869i	0.980072	−	0.689653i
$70$	8.33352	+	0.743282i	0.996046	+	0.0888391i
$71$			15.8264i			1.87825i	0.343579	+	0.939124i	$0.388361\pi$
$71$			15.8264i			1.87825i	−0.343579	+	0.939124i	$0.611639\pi$
$72$	7.00367	+	4.79047i	0.825390	+	0.564563i
$73$	−13.7419	−	3.68214i	−1.60837	−	0.430962i	−0.660815	−	0.750548i	$-0.729789\pi$
$73$	−13.7419	−	3.68214i	−1.60837	−	0.430962i	−0.947557	+	0.319586i	$0.896456\pi$
$74$	−1.13049	−	0.944545i	−0.131417	−	0.109801i
$75$	3.33041	+	7.99427i	0.384563	+	0.923099i
$76$	−8.47877	−	10.0186i	−0.972582	−	1.14922i
$77$	6.61762	+	9.98268i	0.754148	+	1.13763i
$78$	0.782584	−	0.141567i	0.0886102	−	0.0160293i
$79$	−4.85675	−	2.80405i	−0.546427	−	0.315480i	0.201253	−	0.979539i	$-0.435499\pi$
$79$	−4.85675	−	2.80405i	−0.546427	−	0.315480i	−0.747680	+	0.664059i	$0.768832\pi$
$80$	−1.04728	−	8.88275i	−0.117090	−	0.993121i
$81$	1.48040	−	8.87741i	0.164489	−	0.986379i
$82$	−1.68891	−	2.40124i	−0.186509	−	0.265172i
$83$	−4.47966	+	4.47966i	−0.491706	+	0.491706i	−0.908843	−	0.417137i	$-0.863033\pi$
$83$	−4.47966	+	4.47966i	−0.491706	+	0.491706i	0.417137	+	0.908843i	$0.363033\pi$
$84$	0.625788	+	9.14376i	0.0682791	+	0.997666i
$85$	7.26651	+	11.9787i	0.788163	+	1.29928i
$86$	−2.44302	−	0.425469i	−0.263437	−	0.0458795i
$87$	0.256121	+	0.698633i	0.0274591	+	0.0749013i
$88$	8.99635	−	9.11070i	0.959014	−	0.971204i
$89$	4.03760	−	6.99333i	0.427985	−	0.741291i	−0.568709	−	0.822539i	$-0.692557\pi$
$89$	4.03760	−	6.99333i	0.427985	−	0.741291i	0.996694	+	0.0812472i	$0.0258903\pi$
$90$	−8.07771	+	4.97500i	−0.851465	+	0.524411i
$91$	0.643763	+	0.568737i	0.0674848	+	0.0596198i
$92$	0.953607	−	11.4550i	0.0994204	−	1.19427i
$93$	6.66752	+	5.56837i	0.691390	+	0.577413i
$94$	8.23807	+	6.88307i	0.849692	+	0.709934i
$95$	14.0884	−	4.10420i	1.44544	−	0.421082i
$96$	9.43074	−	2.65728i	0.962521	−	0.271208i
$97$	5.18418	+	5.18418i	0.526374	+	0.526374i	0.919489	−	0.393115i	$-0.128603\pi$
$97$	5.18418	+	5.18418i	0.526374	+	0.526374i	−0.393115	+	0.919489i	$0.628603\pi$
$98$	−7.33333	+	6.64998i	−0.740778	+	0.671750i
$99$	−12.7830	−	4.58548i	−1.28474	−	0.460858i
$100$	9.54889	+	2.96963i	0.954889	+	0.296963i
$101$	7.70114	+	13.3388i	0.766292	+	1.32726i	0.939561	+	0.342382i	$0.111234\pi$
$101$	7.70114	+	13.3388i	0.766292	+	1.32726i	−0.173269	+	0.984875i	$0.555433\pi$
$102$	−11.7132	+	9.91725i	−1.15978	+	0.981954i
$103$	−0.551908	−	2.05975i	−0.0543811	−	0.202953i	0.933390	−	0.358863i	$-0.116836\pi$
$103$	−0.551908	−	2.05975i	−0.0543811	−	0.202953i	−0.987771	+	0.155910i	$0.950169\pi$
$104$	0.454127	−	0.798170i	0.0445308	−	0.0782670i
$105$	−9.62382	−	3.51883i	−0.939188	−	0.343403i
$106$	−15.4397	+	5.65643i	−1.49964	+	0.549401i
$107$	−1.49504	+	0.400594i	−0.144531	+	0.0387269i	−0.330359	−	0.943855i	$-0.607170\pi$
$107$	−1.49504	+	0.400594i	−0.144531	+	0.0387269i	0.185828	+	0.982582i	$0.440503\pi$
$108$	−6.76863	−	7.88579i	−0.651312	−	0.758810i
$109$	−3.39363	−	5.87794i	−0.325051	−	0.563005i	0.656472	−	0.754351i	$-0.272048\pi$
$109$	−3.39363	−	5.87794i	−0.325051	−	0.563005i	−0.981523	+	0.191346i	$0.938715\pi$
$110$	5.21451	+	13.3316i	0.497184	+	1.27112i
$111$	1.03830	+	1.47553i	0.0985507	+	0.140051i
$112$	8.56436	+	6.21706i	0.809255	+	0.587457i
$113$	5.22841	+	5.22841i	0.491848	+	0.491848i	0.908888	−	0.417040i	$-0.136933\pi$
$113$	5.22841	+	5.22841i	0.491848	+	0.491848i	−0.417040	+	0.908888i	$0.636933\pi$
$114$	6.85788	+	14.5383i	0.642300	+	1.36164i
$115$	11.2663	+	6.18301i	1.05059	+	0.576568i
$116$	0.808627	+	0.290467i	0.0750791	+	0.0269691i
$117$	−0.970700	−	0.0803821i	−0.0897412	−	0.00743132i
$118$	1.07408	−	2.31610i	0.0988774	−	0.213214i
$119$	−16.2469	−	3.29342i	−1.48935	−	0.301907i
$120$	−1.57440	+	10.8407i	−0.143723	+	0.989618i
$121$	−4.74620	+	8.22066i	−0.431473	+	0.747333i
$122$	19.7147	−	1.76664i	1.78489	−	0.159944i
$123$	1.23757	+	3.37578i	0.111588	+	0.304384i
$124$	9.87098	−	1.78340i	0.886440	−	0.160154i
$125$	−7.37534	+	8.40264i	−0.659671	+	0.751555i
$126$	2.15574	−	11.0160i	0.192048	−	0.981385i
$127$	5.56672	+	5.56672i	0.493967	+	0.493967i	0.909554	−	0.415587i	$-0.136424\pi$
$127$	5.56672	+	5.56672i	0.493967	+	0.493967i	−0.415587	+	0.909554i	$0.636424\pi$
$128$	4.62978	−	10.3230i	0.409218	−	0.912437i
$129$	2.75553	+	1.27714i	0.242611	+	0.112446i
$130$	0.608726	+	0.826792i	0.0533888	+	0.0725145i
$131$	4.15259	−	7.19250i	0.362813	−	0.628411i	−0.625609	−	0.780137i	$-0.715150\pi$
$131$	4.15259	−	7.19250i	0.362813	−	0.628411i	0.988423	+	0.151725i	$0.0484829\pi$
$132$	−13.5290	+	7.92930i	−1.17755	+	0.690157i
$133$	−7.73608	+	15.5439i	−0.670803	+	1.34783i
$134$	1.98281	−	0.726414i	0.171289	−	0.0627526i
$135$	11.1323	−	3.32738i	0.958117	−	0.286376i
$136$	0.111915	+	17.7216i	0.00959662	+	1.51961i
$137$	−17.3199	−	4.64086i	−1.47974	−	0.396496i	−0.573482	−	0.819218i	$-0.694408\pi$
$137$	−17.3199	−	4.64086i	−1.47974	−	0.396496i	−0.906259	+	0.422722i	$0.861075\pi$
$138$	−4.75633	+	13.2502i	−0.404886	+	1.12793i
$139$	−9.32009			−0.790520			−0.395260	−	0.918569i	$-0.629345\pi$
$139$	−9.32009			−0.790520			−0.395260	+	0.918569i	$0.629345\pi$
$140$	−10.2445	+	5.92033i	−0.865818	+	0.500359i
$141$	−7.56625	−	10.7525i	−0.637193	−	0.905521i
$142$	−12.8763	−	18.3071i	−1.08055	−	1.53630i
$143$	−0.380400	+	1.41967i	−0.0318106	+	0.118719i
$144$	−11.9990	+	0.156796i	−0.999915	+	0.0130664i
$145$	−0.664388	+	0.693829i	−0.0551744	+	0.0576193i
$146$	18.8917	−	6.92109i	1.56349	−	0.572794i
$147$	10.7822	−	5.54479i	0.889299	−	0.457327i
$148$	2.07617	+	0.172837i	0.170660	+	0.0142071i
$149$	−7.76118	−	4.48092i	−0.635820	−	0.367091i	0.147182	−	0.989109i	$-0.452980\pi$
$149$	−7.76118	−	4.48092i	−0.635820	−	0.367091i	−0.783003	+	0.622018i	$0.786313\pi$
$150$	−10.3565	−	6.53773i	−0.845609	−	0.533803i
$151$	−3.75709	−	6.50747i	−0.305748	−	0.529570i	0.671680	−	0.740842i	$-0.265573\pi$
$151$	−3.75709	−	6.50747i	−0.305748	−	0.529570i	−0.977428	+	0.211271i	$0.932240\pi$
$152$	17.9589	+	4.69072i	1.45666	+	0.380468i
$153$	16.9987	−	8.02301i	1.37427	−	0.648622i
$154$	−15.7768	−	6.16335i	−1.27133	−	0.496657i
$155$	−2.66716	+	10.8930i	−0.214232	+	0.874946i
$156$	−0.790073	+	0.800465i	−0.0632565	+	0.0640885i
$157$	−8.46908	−	2.26928i	−0.675906	−	0.181109i	−0.0954924	−	0.995430i	$-0.530443\pi$
$157$	−8.46908	−	2.26928i	−0.675906	−	0.181109i	−0.580414	+	0.814322i	$0.697109\pi$
$158$	7.89939	−	0.707866i	0.628442	−	0.0563148i
$159$	20.0580	−	1.80181i	1.59070	−	0.142893i
$160$	8.43841	+	9.42301i	0.667115	+	0.744955i
$161$	−14.4168	+	4.83520i	−1.13620	+	0.381067i
$162$	5.51018	+	11.4734i	0.432921	+	0.901432i
$163$	16.8353	−	4.51101i	1.31864	−	0.353329i	0.470173	−	0.882574i	$-0.344191\pi$
$163$	16.8353	−	4.51101i	1.31864	−	0.353329i	0.848469	+	0.529245i	$0.177525\pi$
$164$	3.90727	+	1.40353i	0.305107	+	0.109597i
$165$	−1.94668	−	17.4240i	−0.151549	−	1.35646i
$166$	1.53719	−	8.82645i	0.119309	−	0.685066i
$167$	5.49015	−	5.49015i	0.424841	−	0.424841i	−0.462026	−	0.886866i	$-0.652877\pi$
$167$	5.49015	−	5.49015i	0.424841	−	0.424841i	0.886866	+	0.462026i	$0.152877\pi$
$168$	−8.16321	−	10.0679i	−0.629805	−	0.776753i
$169$		−	12.8946i		−	0.991891i
$170$	−18.1513	−	7.94434i	−1.39214	−	0.609303i
$171$	−3.50872	−	19.3721i	−0.268319	−	1.48142i
$172$	3.17211	−	1.49547i	0.241871	−	0.114028i
$173$	2.21318	+	8.25968i	0.168265	+	0.627972i	0.997601	+	0.0692228i	$0.0220519\pi$
$173$	2.21318	+	8.25968i	0.168265	+	0.627972i	−0.829337	+	0.558749i	$0.811281\pi$
$174$	−0.864672	−	0.599761i	−0.0655506	−	0.0454678i
$175$	−1.38836	−	13.1557i	−0.104950	−	0.994477i
$176$	−2.99406	+	17.8582i	−0.225686	+	1.34611i
$177$	−2.00430	+	2.39994i	−0.150653	+	0.180390i
$178$	1.01927	+	11.3745i	0.0763975	+	0.852554i
$179$	−11.2398	+	6.48933i	−0.840106	+	0.485035i	−0.857300	−	0.514817i	$-0.827860\pi$
$179$	−11.2398	+	6.48933i	−0.840106	+	0.485035i	0.0171945	+	0.999852i	$0.494527\pi$
$180$	5.29622	−	12.3268i	0.394757	−	0.918786i
$181$			0.814414i			0.0605349i	0.999542	+	0.0302675i	$0.00963590\pi$
$181$			0.814414i			0.0605349i	−0.999542	+	0.0302675i	$0.990364\pi$
$182$	−1.20739	−	0.134120i	−0.0894979	−	0.00994165i
$183$	−23.8837	−	4.15415i	−1.76553	−	0.307083i
$184$	8.21669	+	14.0264i	0.605742	+	1.03404i
$185$	−1.12064	+	2.04196i	−0.0823910	+	0.150128i
$186$	−12.2430	−	1.01652i	−0.897703	−	0.0745346i
$187$	−7.34106	−	27.3972i	−0.536832	−	2.00348i
$188$	−15.1294	−	1.25949i	−1.10342	−	0.0918578i
$189$	−6.03951	+	12.3501i	−0.439310	+	0.898336i
$190$	−12.9576	+	16.2098i	−0.940041	+	1.17598i
$191$	−6.70911	−	3.87351i	−0.485454	−	0.280277i	0.237232	−	0.971453i	$-0.423760\pi$
$191$	−6.70911	−	3.87351i	−0.485454	−	0.280277i	−0.722687	+	0.691176i	$0.757093\pi$
$192$	−8.74701	+	10.7466i	−0.631261	+	0.775570i
$193$	−3.92087	−	1.05059i	−0.282230	−	0.0756233i	0.114927	−	0.993374i	$-0.463337\pi$
$193$	−3.92087	−	1.05059i	−0.282230	−	0.0756233i	−0.397157	+	0.917751i	$0.630003\pi$
$194$	−10.2146	−	1.77895i	−0.733367	−	0.127721i
$195$	−0.458303	−	1.17096i	−0.0328198	−	0.0838545i
$196$	3.07240	−	13.6587i	0.219457	−	0.975622i
$197$	4.31270	+	4.31270i	0.307267	+	0.307267i	0.843849	−	0.536581i	$-0.180285\pi$
$197$	4.31270	+	4.31270i	0.307267	+	0.307267i	−0.536581	+	0.843849i	$0.680285\pi$
$198$	18.5174	−	5.09597i	1.31597	−	0.362155i
$199$	−10.7603	+	6.21245i	−0.762776	+	0.440389i	−0.830292	−	0.557329i	$-0.811826\pi$
$199$	−10.7603	+	6.21245i	−0.762776	+	0.440389i	0.0675154	+	0.997718i	$0.478493\pi$
$200$	−13.4617	+	4.33383i	−0.951887	+	0.306448i
$201$	−2.57590	+	0.231394i	−0.181690	+	0.0163213i
$202$	−19.7606	−	9.16394i	−1.39035	−	0.644773i
$203$	−0.0701980	−	1.13446i	−0.00492693	−	0.0796237i
$204$	5.48054	−	21.0015i	0.383714	−	1.47040i
$205$	−3.21031	+	3.35257i	−0.224218	+	0.234154i
$206$	2.31422	+	1.93357i	0.161239	+	0.134718i
$207$	9.82386	−	14.1696i	0.682805	−	0.984855i
$208$	0.124078	+	1.29276i	0.00860328	+	0.0896365i
$209$	−29.7072			−2.05489
$210$	13.9952	−	3.75951i	0.965762	−	0.259431i
$211$			14.3841i			0.990241i	0.868824	+	0.495120i	$0.164876\pi$
$211$			14.3841i			0.990241i	−0.868824	+	0.495120i	$0.835124\pi$
$212$	13.2578	−	19.1047i	0.910547	−	1.31212i
$213$	9.43532	+	25.7371i	0.646497	+	1.76348i
$214$	1.40346	−	1.67974i	0.0959383	−	0.114825i
$215$	0.0849691	+	3.91997i	0.00579484	+	0.267340i
$216$	14.2454	+	3.61492i	0.969279	+	0.245964i
$217$	−7.33180	−	11.0600i	−0.497715	−	0.750803i
$218$	8.70784	+	4.03824i	0.589769	+	0.273504i
$219$	−24.5426	+	2.20466i	−1.65843	+	0.148977i
$220$	−16.8784	−	11.1788i	−1.13794	−	0.753676i
$221$	−1.01715	−	1.76175i	−0.0684207	−	0.118508i
$222$	−2.40153	−	0.862062i	−0.161180	−	0.0578578i
$223$	10.8534	−	10.8534i	0.726797	−	0.726797i	−0.243183	−	0.969980i	$-0.578192\pi$
$223$	10.8534	−	10.8534i	0.726797	−	0.726797i	0.969980	+	0.243183i	$0.0781916\pi$
$224$	−14.9650	−	0.223629i	−0.999888	−	0.0149418i
$225$	10.1820	+	11.0149i	0.678797	+	0.734326i
$226$	−10.3018	−	1.79413i	−0.685263	−	0.119344i
$227$	−0.485433	+	1.81166i	−0.0322193	+	0.120244i	−0.980163	−	0.198195i	$-0.936492\pi$
$227$	−0.485433	+	1.81166i	−0.0322193	+	0.120244i	0.947943	+	0.318439i	$0.103159\pi$
$228$	−19.7612	−	11.2376i	−1.30872	−	0.744230i
$229$	−1.95174	+	3.38052i	−0.128975	+	0.223391i	−0.923280	−	0.384128i	$-0.874502\pi$
$229$	−1.95174	+	3.38052i	−0.128975	+	0.223391i	0.794305	+	0.607519i	$0.207835\pi$
$230$	−18.0627	+	2.01404i	−1.19102	+	0.132802i
$231$	16.7131	+	12.2887i	1.09964	+	0.808538i
$232$	−1.17170	+	0.321900i	−0.0769258	+	0.0211338i
$233$	−8.33150	+	2.23242i	−0.545815	+	0.146251i	−0.521182	−	0.853446i	$-0.674509\pi$
$233$	−8.33150	+	2.23242i	−0.545815	+	0.146251i	−0.0246335	+	0.999697i	$0.507842\pi$
$234$	1.18825	−	0.696776i	0.0776784	−	0.0455497i
$235$	8.16630	−	14.8801i	0.532710	−	0.970671i
$236$	0.641926	+	3.55301i	0.0417858	+	0.231281i
$237$	−9.56983	−	1.66450i	−0.621627	−	0.108121i
$238$	21.4731	−	9.40878i	1.39189	−	0.609881i
$239$	−23.2744			−1.50549			−0.752747	−	0.658310i	$-0.771272\pi$
$239$	−23.2744			−1.50549			−0.752747	+	0.658310i	$0.771272\pi$
$240$	−6.99879	−	13.8209i	−0.451770	−	0.892134i
$241$	−1.84014	−	3.18722i	−0.118534	−	0.205307i	0.800653	−	0.599128i	$-0.204486\pi$
$241$	−1.84014	−	3.18722i	−0.118534	−	0.205307i	−0.919187	+	0.393822i	$0.871153\pi$
$242$	−1.19815	−	13.3707i	−0.0770201	−	0.859502i
$243$	−2.88505	−	15.3192i	−0.185076	−	0.982724i
$244$	−21.3676	+	18.0834i	−1.36792	+	1.15767i
$245$	12.5536	+	9.34919i	0.802019	+	0.597298i
$246$	−4.17808	−	2.89804i	−0.266385	−	0.184772i
$247$	−2.05806	+	0.551454i	−0.130951	+	0.0350882i
$248$	−9.96725	+	10.0939i	−0.632921	+	0.640966i
$249$	−4.61422	+	9.95554i	−0.292414	+	0.630907i
$250$	1.69504	−	15.7203i	0.107204	−	0.994237i
$251$	4.05482			0.255938			0.127969	−	0.991778i	$-0.459154\pi$
$251$	4.05482			0.255938			0.127969	+	0.991778i	$0.459154\pi$
$252$	6.46896	+	14.4966i	0.407506	+	0.913202i
$253$	−18.3970	−	18.3970i	−1.15661	−	1.15661i
$254$	−10.9684	−	1.91022i	−0.688216	−	0.119858i
$255$	18.9583	+	15.1479i	1.18722	+	0.948596i
$256$	3.04331	+	15.7079i	0.190207	+	0.981744i
$257$	5.36645	+	20.0279i	0.334750	+	1.24930i	0.904140	+	0.427236i	$0.140513\pi$
$257$	5.36645	+	20.0279i	0.334750	+	1.24930i	−0.569390	+	0.822067i	$0.692821\pi$
$258$	−4.22652	+	0.764564i	−0.263132	+	0.0475997i
$259$	−0.876357	−	2.61297i	−0.0544541	−	0.162362i
$260$	−1.37682	−	0.461132i	−0.0853865	−	0.0285982i
$261$	0.833016	+	0.983434i	0.0515624	+	0.0608730i
$262$	1.04830	+	11.6984i	0.0647641	+	0.722731i
$263$	−0.184224	+	0.687533i	−0.0113597	+	0.0423951i	−0.971373	−	0.237559i	$-0.923653\pi$
$263$	−0.184224	+	0.687533i	−0.0113597	+	0.0423951i	0.960013	+	0.279954i	$0.0903193\pi$
$264$	9.19842	−	20.1794i	0.566123	−	1.24195i
$265$	13.4844	+	22.2288i	0.828340	+	1.36550i
$266$	−3.69778	−	24.2744i	−0.226725	−	1.48836i
$267$	2.39675	−	13.7798i	0.146679	−	0.843309i
$268$	−1.70260	+	2.45348i	−0.104003	+	0.149870i
$269$	2.09771	−	1.21112i	0.127900	−	0.0738431i	−0.434685	−	0.900583i	$-0.643140\pi$
$269$	2.09771	−	1.21112i	0.127900	−	0.0738431i	0.562585	+	0.826740i	$0.309807\pi$
$270$	−10.1701	+	12.9062i	−0.618934	+	0.785443i
$271$	−7.67447	+	13.2926i	−0.466191	+	0.807466i	−0.999254	−	0.0386088i	$-0.987707\pi$
$271$	−7.67447	+	13.2926i	−0.466191	+	0.807466i	0.533063	+	0.846075i	$0.321041\pi$
$272$	−14.5477	−	20.4083i	−0.882082	−	1.23744i
$273$	1.38596	+	0.541092i	0.0838824	+	0.0327484i
$274$	23.8105	−	8.72314i	1.43845	−	0.526984i
$275$	19.0931	−	12.1559i	1.15135	−	0.733027i
$276$	−5.27844	−	19.1968i	−0.317725	−	1.15551i
$277$	6.06139	+	1.62414i	0.364193	+	0.0975853i	0.436275	−	0.899813i	$-0.356298\pi$
$277$	6.06139	+	1.62414i	0.364193	+	0.0975853i	−0.0720815	+	0.997399i	$0.522964\pi$
$278$	10.7810	−	7.58279i	0.646600	−	0.454786i
$279$	14.1626	+	5.08035i	0.847890	+	0.304152i
$280$	7.03352	−	15.1832i	0.420333	−	0.907370i
$281$		−	11.9040i		−	0.710130i	−0.934842	−	0.355065i	$-0.884459\pi$
$281$		−	11.9040i		−	0.710130i	0.934842	−	0.355065i	$-0.115541\pi$
$282$	17.5004	+	6.28200i	1.04213	+	0.374088i
$283$	2.22988	−	8.32203i	0.132553	−	0.494693i	−0.867443	−	0.497536i	$-0.834238\pi$
$283$	2.22988	−	8.32203i	0.132553	−	0.494693i	0.999996	+	0.00284269i	$0.000904857\pi$
$284$	29.7892	+	10.7006i	1.76766	+	0.634962i
$285$	20.4640	−	15.0735i	1.21218	−	0.892877i
$286$	−0.715014	−	1.95169i	−0.0422796	−	0.115406i
$287$	−0.339196	−	5.48171i	−0.0200221	−	0.323575i
$288$	13.7522	−	9.94370i	0.810356	−	0.585938i
$289$	19.2763	+	11.1292i	1.13390	+	0.654659i
$290$	0.204032	−	1.34313i	0.0119812	−	0.0788712i
$291$	11.5213	+	5.33991i	0.675389	+	0.313031i
$292$	−16.2219	+	23.3762i	−0.949317	+	1.36799i
$293$	−16.0507	+	16.0507i	−0.937692	+	0.937692i	−0.998170	−	0.0604777i	$-0.980738\pi$
$293$	−16.0507	+	16.0507i	−0.937692	+	0.937692i	0.0604777	+	0.998170i	$0.480738\pi$
$294$	−7.96101	+	15.1863i	−0.464296	+	0.885680i
$295$	−3.92087	−	0.960030i	−0.228282	−	0.0558951i
$296$	−2.54222	+	1.48923i	−0.147763	+	0.0865599i
$297$	−23.5216	+	0.163946i	−1.36486	+	0.00951314i
$298$	12.6234	−	1.13118i	0.731252	−	0.0655276i
$299$	−1.61601	−	0.933004i	−0.0934563	−	0.0539570i
$300$	17.2990	−	0.863563i	0.998756	−	0.0498578i
$301$	−3.47679	−	3.07159i	−0.200399	−	0.177044i
$302$	9.64045	+	4.47073i	0.554746	+	0.257262i
$303$	20.4760	+	17.1005i	1.17631	+	0.982396i
$304$	−24.5903	+	9.18533i	−1.41035	+	0.526815i
$305$	−8.75338	−	30.0476i	−0.501217	−	1.72052i
$306$	−13.1357	+	23.1107i	−0.750919	+	1.32115i
$307$	−6.39185	+	6.39185i	−0.364802	+	0.364802i	−0.865577	−	0.500775i	$-0.833048\pi$
$307$	−6.39185	+	6.39185i	−0.364802	+	0.364802i	0.500775	+	0.865577i	$0.333048\pi$
$308$	23.2642	−	5.70650i	1.32560	−	0.325158i
$309$	−2.12549	−	3.02056i	−0.120915	−	0.171833i
$310$	−5.77727	−	14.7704i	−0.328127	−	0.838903i
$311$	5.47968	−	3.16369i	0.310724	−	0.179397i	−0.336526	−	0.941674i	$-0.609252\pi$
$311$	5.47968	−	3.16369i	0.310724	−	0.179397i	0.647250	+	0.762277i	$0.275919\pi$
$312$	0.262659	−	1.56873i	0.0148701	−	0.0888121i
$313$	8.85424	+	33.0445i	0.500471	+	1.86778i	0.496932	+	0.867790i	$0.334460\pi$
$313$	8.85424	+	33.0445i	0.500471	+	1.86778i	0.00353933	+	0.999994i	$0.498873\pi$
$314$	11.6429	−	4.26543i	0.657044	−	0.240712i
$315$	−17.7482	+	0.0151148i	−1.00000	+	0.000851625i
$316$	−8.56167	+	7.24574i	−0.481631	+	0.407604i
$317$	−13.6970	+	3.67010i	−0.769300	+	0.206133i	−0.622062	−	0.782968i	$-0.713705\pi$
$317$	−13.6970	+	3.67010i	−0.769300	+	0.206133i	−0.147238	+	0.989101i	$0.547038\pi$
$318$	−21.7360	+	18.4033i	−1.21890	+	1.03201i
$319$	1.68422	−	0.972384i	0.0942981	−	0.0544430i
$320$	−17.4276	−	4.03457i	−0.974234	−	0.225539i
$321$	−2.19243	+	1.54276i	−0.122369	+	0.0861083i
$322$	12.7426	−	17.3225i	0.710119	−	0.965347i
$323$	29.0748	−	29.0748i	1.61777	−	1.61777i
$324$	−15.7086	−	8.78869i	−0.872698	−	0.488261i
$325$	1.09708	−	1.19656i	0.0608549	−	0.0663731i
$326$	−15.8040	+	18.9152i	−0.875304	+	1.04762i
$327$	−9.02306	−	7.53559i	−0.498976	−	0.416719i
$328$	−5.66163	+	1.55541i	−0.312611	+	0.0858834i
$329$	6.38617	+	19.0412i	0.352081	+	1.04977i
$330$	16.4279	+	18.5714i	0.904328	+	1.02232i
$331$	2.08489	+	1.20371i	0.114596	+	0.0661621i	0.556202	−	0.831047i	$-0.312258\pi$
$331$	2.08489	+	1.20371i	0.114596	+	0.0661621i	−0.441606	+	0.897209i	$0.645591\pi$
$332$	5.40303	+	11.4606i	0.296530	+	0.628983i
$333$	2.56817	+	1.78052i	0.140735	+	0.0975722i
$334$	−1.88394	+	10.8175i	−0.103085	+	0.591906i
$335$	−1.73170	−	2.85469i	−0.0946131	−	0.155968i
$336$	17.6339	+	5.00441i	0.962010	+	0.273013i
$337$	10.7800	+	10.7800i	0.587223	+	0.587223i	0.936878	−	0.349656i	$-0.113701\pi$
$337$	10.7800	+	10.7800i	0.587223	+	0.587223i	−0.349656	+	0.936878i	$0.613701\pi$
$338$	10.4910	+	14.9158i	0.570635	+	0.811310i
$339$	11.6196	+	5.38547i	0.631089	+	0.292498i
$340$	27.4600	−	5.57829i	1.48923	−	0.302525i
$341$	11.3520	−	19.6622i	0.614744	−	1.06477i
$342$	19.8198	+	19.5540i	1.07173	+	1.05736i
$343$	−18.2029	+	3.41396i	−0.982863	+	0.184336i
$344$	−2.45262	+	4.31069i	−0.132236	+	0.232417i
$345$	22.0076	+	3.33821i	1.18485	+	0.179723i
$346$	−9.28013	−	7.75372i	−0.498903	−	0.416843i
$347$	−8.18357	+	30.5415i	−0.439317	+	1.63955i	0.291203	+	0.956661i	$0.405945\pi$
$347$	−8.18357	+	30.5415i	−0.439317	+	1.63955i	−0.730519	+	0.682892i	$0.760722\pi$
$348$	1.48817	−	0.00972289i	0.0797743	−	0.000521202i
$349$	1.12955			0.0604632			0.0302316	−	0.999543i	$-0.490376\pi$
$349$	1.12955			0.0604632			0.0302316	+	0.999543i	$0.490376\pi$
$350$	12.3094	+	14.0882i	0.657966	+	0.753048i
$351$	−1.62649	+	0.447990i	−0.0868155	+	0.0239119i
$352$	−11.0660	−	23.0933i	−0.589818	−	1.23088i
$353$	−6.87169	+	25.6455i	−0.365743	+	1.36497i	0.500668	+	0.865640i	$0.333088\pi$
$353$	−6.87169	+	25.6455i	−0.365743	+	1.36497i	−0.866411	+	0.499332i	$0.833579\pi$
$354$	0.365889	−	4.40681i	0.0194468	−	0.234219i
$355$	−24.4756	+	25.5601i	−1.29903	+	1.35659i
$356$	−10.4333	−	12.3281i	−0.552962	−	0.653389i
$357$	−28.3844	+	4.33021i	−1.50226	+	0.229179i
$358$	7.72195	−	16.6512i	0.408118	−	0.880043i
$359$	12.0525	−	20.8756i	0.636108	−	1.10177i	−0.350171	−	0.936686i	$-0.613876\pi$
$359$	12.0525	−	20.8756i	0.636108	−	1.10177i	0.986279	−	0.165086i	$-0.0527902\pi$
$360$	3.90266	+	18.5680i	0.205688	+	0.978618i
$361$	−12.0328	−	20.8415i	−0.633307	−	1.09692i
$362$	−0.662604	−	0.942070i	−0.0348257	−	0.0495141i
$363$	−2.81738	+	16.1981i	−0.147874	+	0.850181i
$364$	1.50577	−	0.827187i	0.0789236	−	0.0433564i
$365$	−16.4992	−	27.1987i	−0.863609	−	1.42365i
$366$	31.0072	−	14.6264i	1.62077	−	0.764534i
$367$	1.94548	−	7.26062i	0.101553	−	0.379001i	−0.896378	−	0.443290i	$-0.853811\pi$
$367$	1.94548	−	7.26062i	0.101553	−	0.379001i	0.997931	+	0.0642887i	$0.0204779\pi$
$368$	−20.9164	−	9.53992i	−1.09035	−	0.497303i
$369$	4.02512	+	4.75194i	0.209540	+	0.247376i
$370$	−0.365035	−	3.27377i	−0.0189773	−	0.170195i
$371$	−30.1492	−	6.11157i	−1.56527	−	0.317297i
$372$	14.9891	−	8.78504i	0.777149	−	0.455483i
$373$	1.49275	−	0.399982i	0.0772918	−	0.0207103i	−0.219966	−	0.975508i	$-0.570595\pi$
$373$	1.49275	−	0.399982i	0.0772918	−	0.0207103i	0.297258	+	0.954797i	$0.403928\pi$
$374$	30.7820	+	25.7190i	1.59170	+	1.32990i
$375$	−6.98444	+	18.0615i	−0.360675	+	0.932692i
$376$	18.5256	−	10.8523i	0.955384	−	0.559665i
$377$	0.0986288	−	0.0986288i	0.00507964	−	0.00507964i
$378$	−3.06180	−	19.1996i	−0.157482	−	0.987522i
$379$	−8.83814			−0.453985			−0.226993	−	0.973897i	$-0.572889\pi$
$379$	−8.83814			−0.453985			−0.226993	+	0.973897i	$0.572889\pi$
$380$	1.80037	−	29.2929i	0.0923571	−	1.50269i
$381$	12.3714	+	5.73394i	0.633808	+	0.293759i
$382$	10.9122	−	0.977845i	0.558317	−	0.0500309i
$383$	−24.4797	+	6.55933i	−1.25086	+	0.335166i	−0.822667	−	0.568523i	$-0.807515\pi$
$383$	−24.4797	+	6.55933i	−1.25086	+	0.335166i	−0.428189	+	0.903689i	$0.640848\pi$
$384$	1.37466	−	19.5476i	0.0701503	−	0.997536i
$385$	−4.75057	+	26.3565i	−0.242111	+	1.34325i
$386$	5.39020	−	1.97473i	0.274354	−	0.100511i
$387$	5.24248	+	0.434121i	0.266490	+	0.0220676i
$388$	13.2631	−	6.25278i	0.673330	−	0.317437i
$389$	−17.8516	+	10.3066i	−0.905114	+	0.522568i	−0.878856	−	0.477088i	$-0.841692\pi$
$389$	−17.8516	+	10.3066i	−0.905114	+	0.522568i	−0.0262579	+	0.999655i	$0.508359\pi$
$390$	1.48283	+	0.981634i	0.0750862	+	0.0497070i
$391$	36.0107			1.82114
$392$	7.55869	+	18.2993i	0.381772	+	0.924257i
$393$	2.46501	−	14.1722i	0.124343	−	0.714894i
$394$	−8.49750	−	1.47990i	−0.428098	−	0.0745564i
$395$	−3.50734	−	12.0396i	−0.176474	−	0.605778i
$396$	−17.2739	+	20.9604i	−0.868045	+	1.05330i
$397$	7.20751	+	26.8988i	0.361734	+	1.35001i	0.871794	+	0.489872i	$0.162957\pi$
$397$	7.20751	+	26.8988i	0.361734	+	1.35001i	−0.510060	+	0.860139i	$0.670377\pi$
$398$	7.39248	−	15.9408i	0.370552	−	0.799038i
$399$	−3.31363	+	29.8898i	−0.165889	+	1.49636i
$400$	12.0458	−	15.9656i	0.602290	−	0.798278i
$401$	9.07915	+	5.24185i	0.453391	+	0.261766i	0.709261	−	0.704946i	$-0.249029\pi$
$401$	9.07915	+	5.24185i	0.453391	+	0.261766i	−0.255870	+	0.966711i	$0.582362\pi$
$402$	2.79140	−	2.36341i	0.139223	−	0.117876i
$403$	0.421453	−	1.57288i	0.0209941	−	0.0783509i
$404$	30.3138	−	5.47683i	1.50817	−	0.272482i
$405$	16.1198	−	12.0479i	0.801001	−	0.598663i
$406$	1.00420	+	1.25517i	0.0498374	+	0.0622932i
$407$	3.33437	−	3.33437i	0.165278	−	0.165278i
$408$	10.7472	+	28.7524i	0.532065	+	1.42346i
$409$	−9.15151	+	5.28362i	−0.452513	+	0.261258i	−0.708891	−	0.705318i	$-0.750804\pi$
$409$	−9.15151	+	5.28362i	−0.452513	+	0.261258i	0.256378	+	0.966577i	$0.417471\pi$
$410$	0.985878	−	6.48997i	0.0486890	−	0.320517i
$411$	−30.9327	+	2.77869i	−1.52580	+	0.137063i
$412$	−4.25011	−	0.353813i	−0.209388	−	0.0174311i
$413$	3.98099	−	2.63904i	0.195892	−	0.129859i
$414$	0.164630	+	24.3833i	0.00809110	+	1.19837i
$415$	−14.1626	+	0.306988i	−0.695214	+	0.0150694i
$416$	−1.19531	−	1.39444i	−0.0586048	−	0.0683680i
$417$	−15.1565	+	5.55641i	−0.742215	+	0.272099i
$418$	34.3637	−	24.1697i	1.68078	−	1.18218i
$419$			19.8126i			0.967909i	0.875093	+	0.483955i	$0.160800\pi$
$419$			19.8126i			0.967909i	−0.875093	+	0.483955i	$0.839200\pi$
$420$	−13.1302	+	15.7353i	−0.640687	+	0.767802i
$421$		−	12.0978i		−	0.589609i	−0.955558	−	0.294805i	$-0.904745\pi$
$421$		−	12.0978i		−	0.589609i	0.955558	−	0.294805i	$-0.0952545\pi$
$422$	−11.7028	−	16.6387i	−0.569685	−	0.809960i
$423$	−18.7147	−	12.9750i	−0.909940	−	0.630866i
$424$	0.207679	+	32.8858i	0.0100858	+	1.59707i
$425$	−6.78949	+	30.5837i	−0.329339	+	1.48353i
$426$	−31.8539	−	22.0948i	−1.54333	−	1.07049i
$427$	33.1518	+	16.4994i	1.60433	+	0.798462i
$428$	−0.256810	+	3.08488i	−0.0124134	+	0.149113i
$429$	0.227762	+	2.53548i	0.0109965	+	0.122414i
$430$	−3.28756	−	4.46528i	−0.158540	−	0.215335i
$431$	−1.55352	+	0.896926i	−0.0748305	+	0.0432034i	−0.536948	−	0.843615i	$-0.680423\pi$
$431$	−1.55352	+	0.896926i	−0.0748305	+	0.0432034i	0.462118	+	0.886819i	$0.347090\pi$
$432$	−19.4194	+	7.40849i	−0.934318	+	0.356441i
$433$	17.7904	−	17.7904i	0.854954	−	0.854954i	−0.135785	−	0.990738i	$-0.543356\pi$
$433$	17.7904	−	17.7904i	0.854954	−	0.854954i	0.990738	+	0.135785i	$0.0433556\pi$
$434$	17.4794	+	6.82850i	0.839039	+	0.327779i
$435$	−0.666794	+	1.52441i	−0.0319703	+	0.0730897i
$436$	−13.3583	+	2.41345i	−0.639744	+	0.115583i
$437$	9.76175	−	36.4313i	0.466968	−	1.74275i
$438$	26.5958	−	22.5180i	1.27080	−	1.07595i
$439$	−2.54870	−	1.47149i	−0.121643	−	0.0702306i	0.437944	−	0.899002i	$-0.355707\pi$
$439$	−2.54870	−	1.47149i	−0.121643	−	0.0702306i	−0.559587	+	0.828772i	$0.689040\pi$
$440$	28.6191	−	0.801191i	1.36436	−	0.0381953i
$441$	14.2285	−	15.4451i	0.677545	−	0.735481i
$442$	2.60994	+	1.21035i	0.124142	+	0.0575705i
$443$	7.43540	+	27.7493i	0.353266	+	1.31841i	0.882652	+	0.470027i	$0.155756\pi$
$443$	7.43540	+	27.7493i	0.353266	+	1.31841i	−0.529386	+	0.848381i	$0.677578\pi$
$444$	3.47933	−	0.956691i	0.165122	−	0.0454026i
$445$	17.3361	−	5.05029i	0.821808	−	0.239407i
$446$	−3.72434	+	21.3849i	−0.176353	+	1.01260i
$447$	−15.2928	−	2.65991i	−0.723322	−	0.125809i
$448$	17.4926	−	11.9168i	0.826448	−	0.563014i
$449$	25.2557			1.19189			0.595945	−	0.803025i	$-0.296778\pi$
$449$	25.2557			1.19189			0.595945	+	0.803025i	$0.296778\pi$
$450$	−20.7396	−	4.45742i	−0.977675	−	0.210125i
$451$	8.13811	−	4.69854i	0.383209	−	0.221246i
$452$	13.3762	−	6.30613i	0.629164	−	0.296615i
$453$	−9.98943	−	8.34266i	−0.469344	−	0.391972i
$454$	−0.912437	−	2.49057i	−0.0428228	−	0.116888i
$455$	0.160146	+	1.91411i	0.00750775	+	0.0897349i
$456$	32.0015	−	3.07855i	1.49861	−	0.144166i
$457$	24.3537	−	6.52556i	1.13922	−	0.305253i	0.360582	−	0.932727i	$-0.382578\pi$
$457$	24.3537	−	6.52556i	1.13922	−	0.305253i	0.778637	+	0.627474i	$0.215911\pi$
$458$	−0.492707	−	5.49833i	−0.0230227	−	0.256920i
$459$	22.8605	−	23.1814i	1.06703	−	1.08201i
$460$	19.2553	−	17.0255i	0.897785	−	0.793817i
$461$	4.63479			0.215864			0.107932	−	0.994158i	$-0.465577\pi$
$461$	4.63479			0.215864			0.107932	+	0.994158i	$0.465577\pi$
$462$	−29.3309	−	0.617190i	−1.36460	−	0.0287143i
$463$	−23.2833	+	23.2833i	−1.08207	+	1.08207i	−0.0857512	+	0.996317i	$0.527329\pi$
$463$	−23.2833	+	23.2833i	−1.08207	+	1.08207i	−0.996317	+	0.0857512i	$0.972671\pi$
$464$	1.09346	−	1.32565i	0.0507626	−	0.0615415i
$465$	2.15676	+	19.3044i	0.100018	+	0.895222i
$466$	7.82114	−	9.36082i	0.362308	−	0.433632i
$467$	−19.6113	+	5.25484i	−0.907504	+	0.243165i	−0.682236	−	0.731132i	$-0.738992\pi$
$467$	−19.6113	+	5.25484i	−0.907504	+	0.243165i	−0.225268	+	0.974297i	$0.572326\pi$
$468$	−0.807610	+	1.77275i	−0.0373318	+	0.0819454i
$469$	3.87185	+	0.784865i	0.178786	+	0.0362417i
$470$	2.66007	+	23.8566i	0.122700	+	1.10042i
$471$	−15.1254	+	1.35872i	−0.696943	+	0.0626066i
$472$	−3.63326	−	3.58766i	−0.167234	−	0.165135i
$473$	2.05443	−	7.66725i	0.0944630	−	0.352541i
$474$	12.4241	−	5.86057i	0.570657	−	0.269185i
$475$	29.1004	+	15.1594i	1.33522	+	0.695560i
$476$	−17.1839	+	28.3540i	−0.787624	+	1.29960i
$477$	31.5444	−	14.8882i	1.44432	−	0.681685i
$478$	26.9225	−	18.9360i	1.23141	−	0.866110i
$479$	5.92500	+	10.2624i	0.270720	+	0.468901i	0.969046	−	0.246878i	$-0.0794048\pi$
$479$	5.92500	+	10.2624i	0.270720	+	0.468901i	−0.698326	+	0.715780i	$0.746071\pi$
$480$	19.3404	+	10.2931i	0.882767	+	0.469812i
$481$	0.169102	−	0.292894i	0.00771040	−	0.0133548i
$482$	4.72168	+	2.18967i	0.215067	+	0.0997366i
$483$	−20.5621	+	16.4580i	−0.935609	+	0.748865i
$484$	12.2643	+	14.4917i	0.557469	+	0.658714i
$485$	0.355268	+	16.3900i	0.0161319	+	0.744230i
$486$	15.8009	+	15.3731i	0.716743	+	0.697338i
$487$	6.98134	−	26.0547i	0.316355	−	1.18065i	−0.606367	−	0.795185i	$-0.707374\pi$
$487$	6.98134	−	26.0547i	0.316355	−	1.18065i	0.922722	−	0.385467i	$-0.125960\pi$
$488$	10.0043	−	38.3025i	0.452874	−	1.73387i
$489$	24.6885	−	17.3727i	1.11645	−	0.785619i
$490$	−22.1278	−	0.601083i	−0.999631	−	0.0271542i
$491$	37.0507			1.67207			0.836037	−	0.548673i	$-0.184867\pi$
$491$	37.0507			1.67207			0.836037	+	0.548673i	$0.184867\pi$
$492$	7.19081	−	0.0469809i	0.324187	−	0.00211806i
$493$	−0.696680	+	2.60005i	−0.0313769	+	0.117100i
$494$	1.93199	−	2.31232i	0.0869242	−	0.104036i
$495$	−13.5535	−	27.1746i	−0.609184	−	1.22141i
$496$	3.31718	−	19.7854i	0.148946	−	0.888392i
$497$	−2.58604	−	41.7928i	−0.116000	−	1.87466i
$498$	−2.76232	−	15.2701i	−0.123782	−	0.684272i
$499$	15.0503	−	26.0678i	0.673743	−	1.16696i	−0.303092	−	0.952961i	$-0.598019\pi$
$499$	15.0503	−	26.0678i	0.673743	−	1.16696i	0.976835	−	0.213995i	$-0.0686477\pi$
$500$	10.8292	+	19.5634i	0.484298	+	0.874903i
$501$	5.65507	−	12.2013i	0.252650	−	0.545112i
$502$	−4.69040	+	3.29899i	−0.209343	+	0.147241i
$503$	−0.461456	−	0.461456i	−0.0205753	−	0.0205753i	0.696744	−	0.717320i	$-0.254631\pi$
$503$	−0.461456	−	0.461456i	−0.0205753	−	0.0205753i	−0.717320	+	0.696744i	$0.754631\pi$
$504$	−19.2774	−	11.5058i	−0.858682	−	0.512509i
$505$	−8.19085	+	33.4524i	−0.364488	+	1.48861i
$506$	36.2484	+	6.31292i	1.61144	+	0.280644i
$507$	−7.68744	−	20.9694i	−0.341411	−	0.931282i
$508$	14.2417	−	6.71417i	0.631875	−	0.297893i
$509$	−9.62722	−	5.55828i	−0.426719	−	0.246366i	0.271229	−	0.962515i	$-0.412570\pi$
$509$	−9.62722	−	5.55828i	−0.426719	−	0.246366i	−0.697948	+	0.716149i	$0.745903\pi$
$510$	−34.2542	−	2.09780i	−1.51680	−	0.0928919i
$511$	36.8900	+	7.47800i	1.63192	+	0.330807i
$512$	−16.3002	−	15.6940i	−0.720375	−	0.693584i
$513$	−17.2551	−	29.4114i	−0.761833	−	1.29855i
$514$	−22.5022	−	18.8010i	−0.992530	−	0.829278i
$515$	2.29406	−	4.18008i	0.101088	−	0.184197i
$516$	4.26697	−	4.32309i	0.187843	−	0.190313i
$517$	−24.2981	+	24.2981i	−1.06863	+	1.06863i
$518$	3.13962	+	2.30954i	0.137947	+	0.101475i
$519$	8.52332	+	12.1126i	0.374132	+	0.531683i
$520$	1.96780	−	0.586761i	0.0862938	−	0.0257312i
$521$	31.6790	−	18.2899i	1.38788	−	0.801293i	0.394804	−	0.918765i	$-0.370812\pi$
$521$	31.6790	−	18.2899i	1.38788	−	0.801293i	0.993076	+	0.117472i	$0.0374790\pi$
$522$	−1.76371	−	0.459844i	−0.0771953	−	0.0201268i
$523$	−40.1383	+	10.7550i	−1.75513	+	0.470284i	−0.985708	−	0.168462i	$-0.946120\pi$
$523$	−40.1383	+	10.7550i	−1.75513	+	0.470284i	−0.769417	+	0.638747i	$0.779453\pi$
$524$	−10.7304	−	12.6792i	−0.468760	−	0.553894i
$525$	−10.1009	−	20.5663i	−0.440839	−	0.897586i
$526$	−0.346274	−	0.945184i	−0.0150983	−	0.0412120i
$527$	8.13332	+	30.3540i	0.354293	+	1.32224i
$528$	5.77763	+	30.8262i	0.251439	+	1.34154i
$529$	8.68774	−	5.01587i	0.377728	−	0.218081i
$530$	−33.6833	−	14.7422i	−1.46311	−	0.640362i
$531$	−1.82864	+	5.09773i	−0.0793563	+	0.221223i
$532$	24.0269	+	25.0708i	1.04170	+	1.08696i
$533$	0.476573	−	0.476573i	0.0206427	−	0.0206427i
$534$	8.43875	+	17.8897i	0.365180	+	0.774162i
$535$	−3.03405	−	1.66511i	−0.131174	−	0.0719889i
$536$	−0.0266708	−	4.22329i	−0.00115200	−	0.182418i
$537$	−14.4096	+	17.2540i	−0.621821	+	0.744564i
$538$	−1.44116	+	3.10765i	−0.0621330	+	0.133980i
$539$	−19.1063	−	25.2799i	−0.822968	−	1.08888i
$540$	1.26384	−	23.2035i	0.0543871	−	0.998520i
$541$	−0.732953	−	0.423170i	−0.0315121	−	0.0181935i	0.484161	−	0.874979i	$-0.339125\pi$
$541$	−0.732953	−	0.423170i	−0.0315121	−	0.0181935i	−0.515673	+	0.856785i	$0.672458\pi$
$542$	−1.93738	−	21.6201i	−0.0832175	−	0.928661i
$543$	0.485534	+	1.32441i	0.0208363	+	0.0568360i
$544$	33.4321	+	11.7713i	1.43339	+	0.504690i
$545$	3.60943	−	14.7413i	0.154611	−	0.631449i
$546$	−2.04344	+	0.501710i	−0.0874511	+	0.0214712i
$547$	−0.469863	+	0.469863i	−0.0200899	+	0.0200899i	−0.717080	−	0.696990i	$-0.754522\pi$
$547$	−0.469863	+	0.469863i	−0.0200899	+	0.0200899i	0.696990	+	0.717080i	$0.254522\pi$
$548$	−20.4456	+	29.4626i	−0.873394	+	1.25858i
$549$	−41.3166	+	7.48335i	−1.76335	+	0.319381i
$550$	−12.1958	+	29.5953i	−0.520032	+	1.26195i
$551$	2.44156	+	1.40964i	0.104014	+	0.0600525i
$552$	21.7243	+	17.9114i	0.924648	+	0.762358i
$553$	13.2834	+	6.61105i	0.564868	+	0.281131i
$554$	−8.33288	+	3.05280i	−0.354030	+	0.129701i
$555$	−0.605033	+	3.98876i	−0.0256822	+	0.169313i
$556$	−6.30152	+	17.5427i	−0.267244	+	0.743977i
$557$	0.763042	−	2.84771i	0.0323311	−	0.120661i	−0.947874	−	0.318644i	$-0.896772\pi$
$557$	0.763042	−	2.84771i	0.0323311	−	0.120661i	0.980205	+	0.197983i	$0.0634391\pi$
$558$	−20.5158	+	5.64593i	−0.868504	+	0.239011i
$559$		−	0.569308i		−	0.0240792i
$560$	4.21701	+	23.2855i	0.178201	+	0.983994i
$561$	−28.2717	−	40.1772i	−1.19363	−	1.69628i
$562$	9.68501	+	13.7698i	0.408538	+	0.580846i
$563$	22.7766	+	6.10297i	0.959920	+	0.257210i	0.704566	−	0.709638i	$-0.251142\pi$
$563$	22.7766	+	6.10297i	0.959920	+	0.257210i	0.255353	+	0.966848i	$0.417808\pi$
$564$	−25.3545	+	6.97158i	−1.06762	+	0.293556i
$565$	0.358299	+	16.5298i	0.0150738	+	0.695414i
$566$	4.19137	+	11.4407i	0.176176	+	0.480888i
$567$	−2.45872	+	23.6845i	−0.103256	+	0.994655i
$568$	−43.1645	+	11.8585i	−1.81114	+	0.497574i
$569$	20.5570	−	35.6057i	0.861794	−	1.49267i	−0.00840260	−	0.999965i	$-0.502675\pi$
$569$	20.5570	−	35.6057i	0.861794	−	1.49267i	0.870196	−	0.492705i	$-0.163992\pi$
$570$	−11.4079	+	34.0856i	−0.477824	+	1.42769i
$571$	−19.7956	+	11.4290i	−0.828420	+	0.478289i	−0.853312	−	0.521401i	$-0.825409\pi$
$571$	−19.7956	+	11.4290i	−0.828420	+	0.478289i	0.0248911	+	0.999690i	$0.492076\pi$
$572$	2.41498	+	1.67588i	0.100975	+	0.0700720i
$573$	−13.2197	−	2.29934i	−0.552263	−	0.0960564i
$574$	4.85226	+	6.06498i	0.202529	+	0.253147i
$575$	8.63337	+	27.4091i	0.360037	+	1.14304i
$576$	−7.81764	+	22.6911i	−0.325735	+	0.945461i
$577$	0.853067	−	3.18369i	0.0355136	−	0.132539i	−0.945893	−	0.324479i	$-0.894811\pi$
$577$	0.853067	−	3.18369i	0.0355136	−	0.132539i	0.981407	+	0.191940i	$0.0614779\pi$
$578$	−31.3525	+	2.80950i	−1.30409	+	0.116860i
$579$	−7.00251	+	0.629037i	−0.291014	+	0.0261419i
$580$	0.856751	+	1.71966i	0.0355746	+	0.0714048i
$581$	11.0975	−	12.5614i	0.460400	−	0.521135i
$582$	−17.6717	+	3.19675i	−0.732517	+	0.132510i
$583$	−13.6227	−	50.8408i	−0.564196	−	2.10561i
$584$	−0.254112	−	40.2384i	−0.0105152	−	1.66508i
$585$	−1.44340	−	1.63101i	−0.0596773	−	0.0674340i
$586$	5.50779	−	31.6254i	0.227525	−	1.30643i
$587$	−2.73530	−	2.73530i	−0.112898	−	0.112898i	0.648401	−	0.761299i	$-0.275438\pi$
$587$	−2.73530	−	2.73530i	−0.112898	−	0.112898i	−0.761299	+	0.648401i	$0.775438\pi$
$588$	−3.14662	−	24.0437i	−0.129764	−	0.991545i
$589$	32.9133			1.35617
$590$	5.31653	−	2.07950i	0.218878	−	0.0856115i
$591$	9.58451	+	4.44225i	0.394254	+	0.182730i
$592$	1.72906	−	3.79100i	0.0710640	−	0.155809i
$593$	−15.8533	+	4.24789i	−0.651019	+	0.174440i	−0.569190	−	0.822206i	$-0.692743\pi$
$593$	−15.8533	+	4.24789i	−0.651019	+	0.174440i	−0.0818294	+	0.996646i	$0.526076\pi$
$594$	27.0752	−	19.3268i	1.11091	−	0.792987i
$595$	−21.1460	−	30.4449i	−0.866902	−	1.24812i
$596$	−13.6817	+	11.5788i	−0.560424	+	0.474287i
$597$	−13.7948	+	16.5178i	−0.564584	+	0.676029i
$598$	2.62840	−	0.235532i	0.107483	−	0.00963160i
$599$	−7.47868	−	12.9535i	−0.305571	−	0.529264i	0.671818	−	0.740717i	$-0.265514\pi$
$599$	−7.47868	−	12.9535i	−0.305571	−	0.529264i	−0.977388	+	0.211453i	$0.932181\pi$
$600$	−19.3079	+	15.0733i	−0.788242	+	0.615365i
$601$	−37.6410			−1.53541			−0.767704	−	0.640805i	$-0.778601\pi$
$601$	−37.6410			−1.53541			−0.767704	+	0.640805i	$0.778601\pi$
$602$	6.52080	+	0.724347i	0.265768	+	0.0295222i
$603$	−4.05102	+	1.91199i	−0.164970	+	0.0778622i
$604$	−14.7889	+	2.67193i	−0.601753	+	0.108719i
$605$	−20.3785	+	5.93662i	−0.828506	+	0.241358i
$606$	−37.5984	−	3.12172i	−1.52733	−	0.126811i
$607$	0.371474	−	0.0995362i	0.0150777	−	0.00404005i	−0.251272	−	0.967916i	$-0.580849\pi$
$607$	0.371474	−	0.0995362i	0.0150777	−	0.00404005i	0.266350	+	0.963876i	$0.414182\pi$
$608$	20.9715	−	30.6316i	0.850508	−	1.24228i
$609$	−0.790497	−	1.80303i	−0.0320325	−	0.0730625i
$610$	34.5720	+	27.6357i	1.39978	+	1.11894i
$611$	−1.23228	+	2.13437i	−0.0498527	+	0.0863473i
$612$	−3.60808	−	37.4204i	−0.145848	−	1.51263i
$613$	−2.92281	+	10.9081i	−0.118051	+	0.440573i	−0.999497	−	0.0317118i	$-0.989904\pi$
$613$	−2.92281	+	10.9081i	−0.118051	+	0.440573i	0.881446	+	0.472285i	$0.156571\pi$
$614$	2.19336	−	12.5941i	0.0885168	−	0.508257i
$615$	−3.22194	+	7.36591i	−0.129921	+	0.297022i
$616$	−22.2680	+	25.5286i	−0.897202	+	1.02858i
$617$	−3.04424	+	3.04424i	−0.122556	+	0.122556i	−0.765725	−	0.643168i	$-0.777620\pi$
$617$	−3.04424	+	3.04424i	−0.122556	+	0.122556i	0.643168	+	0.765725i	$0.277620\pi$
$618$	4.91617	+	1.76472i	0.197757	+	0.0709876i
$619$	0.319983	+	0.554226i	0.0128612	+	0.0222762i	0.872384	−	0.488821i	$-0.162573\pi$
$619$	0.319983	+	0.554226i	0.0128612	+	0.0222762i	−0.859523	+	0.511097i	$0.829239\pi$
$620$	18.7000	+	12.3852i	0.751010	+	0.497404i
$621$	7.52812	−	28.8996i	0.302093	−	1.15970i
$622$	−3.76463	+	8.11784i	−0.150948	+	0.325496i
$623$	−9.51938	+	19.1270i	−0.381386	+	0.766309i
$624$	0.972488	+	2.02833i	0.0389307	+	0.0811980i
$625$	−24.9061	+	2.16454i	−0.996245	+	0.0865817i
$626$	−37.1270	−	31.0203i	−1.48389	−	1.23982i
$627$	−48.3103	+	17.7107i	−1.92933	+	0.707299i
$628$	−9.99749	+	14.4066i	−0.398943	+	0.574886i
$629$			6.52677i			0.260239i
$630$	20.5179	−	14.4574i	0.817453	−	0.575996i
$631$	−2.65551			−0.105714			−0.0528572	−	0.998602i	$-0.516833\pi$
$631$	−2.65551			−0.105714			−0.0528572	+	0.998602i	$0.516833\pi$
$632$	4.00857	−	15.3472i	0.159452	−	0.610479i
$633$	8.57544	+	23.3916i	0.340843	+	0.929732i
$634$	12.8580	−	15.3892i	0.510655	−	0.611183i
$635$	0.381484	+	17.5994i	0.0151387	+	0.698411i
$636$	10.1702	−	38.9724i	0.403274	−	1.54535i
$637$	−1.79292	−	1.39667i	−0.0710380	−	0.0553382i
$638$	−1.15708	+	2.49507i	−0.0458094	+	0.0987809i
$639$	30.6877	+	36.2290i	1.21399	+	1.43320i
$640$	23.4418	−	9.51208i	0.926620	−	0.375998i
$641$	30.6677	−	17.7060i	1.21130	−	0.699345i	0.248258	−	0.968694i	$-0.420142\pi$
$641$	30.6677	−	17.7060i	1.21130	−	0.699345i	0.963043	+	0.269349i	$0.0868085\pi$
$642$	1.28090	−	3.56833i	0.0505531	−	0.140831i
$643$	17.2121	+	17.2121i	0.678781	+	0.678781i	0.959724	−	0.280943i	$-0.0906474\pi$
$643$	17.2121	+	17.2121i	0.678781	+	0.678781i	−0.280943	+	0.959724i	$0.590647\pi$
$644$	−0.646434	+	30.4051i	−0.0254731	+	1.19813i
$645$	2.47517	+	6.32406i	0.0974597	+	0.249009i
$646$	−9.97701	+	57.2873i	−0.392540	+	2.25394i
$647$	−17.5527	−	4.70324i	−0.690070	−	0.184904i	−0.103291	−	0.994651i	$-0.532937\pi$
$647$	−17.5527	−	4.70324i	−0.690070	−	0.184904i	−0.586778	+	0.809748i	$0.699604\pi$
$648$	25.3213	−	2.61415i	0.994713	−	0.102693i
$649$	7.07730	+	4.08608i	0.277808	+	0.160393i
$650$	−0.295525	+	2.27669i	−0.0115914	+	0.0892992i
$651$	−18.5168	−	13.6149i	−0.725731	−	0.533611i
$652$	2.89188	−	34.7382i	0.113255	−	1.36045i
$653$	−6.85950	−	25.6000i	−0.268433	−	1.00181i	−0.960116	−	0.279604i	$-0.909797\pi$
$653$	−6.85950	−	25.6000i	−0.268433	−	1.00181i	0.691683	−	0.722202i	$-0.256870\pi$
$654$	16.5683	+	1.37564i	0.647872	+	0.0537916i
$655$	17.8298	−	5.19412i	0.696667	−	0.202951i
$656$	5.28359	−	6.40550i	0.206289	−	0.250093i
$657$	−38.5971	+	18.2169i	−1.50582	+	0.710710i
$658$	−22.8790	−	16.8300i	−0.891916	−	0.656102i
$659$			24.3580i			0.948851i	0.880296	+	0.474426i	$0.157344\pi$
$659$			24.3580i			0.948851i	−0.880296	+	0.474426i	$0.842656\pi$
$660$	−34.1125	−	8.11663i	−1.32783	−	0.315940i
$661$	−4.23280	+	2.44381i	−0.164637	+	0.0950530i	−0.580054	−	0.814578i	$-0.696969\pi$
$661$	−4.23280	+	2.44381i	−0.164637	+	0.0950530i	0.415418	+	0.909631i	$0.363635\pi$
$662$	−3.39103	+	0.303871i	−0.131796	+	0.0118103i
$663$	−2.70441	−	2.25859i	−0.105031	−	0.0877162i
$664$	−15.5743	−	8.86114i	−0.604398	−	0.343879i
$665$	−36.5327	+	13.1400i	−1.41668	+	0.509548i
$666$	−4.41935	+	0.0298383i	−0.171246	+	0.00115621i
$667$	0.639047	+	2.38496i	0.0247440	+	0.0923459i
$668$	−6.62182	−	14.0458i	−0.256206	−	0.543450i
$669$	11.1794	−	24.1205i	0.432221	−	0.932552i
$670$	4.32570	+	1.89324i	0.167117	+	0.0731422i
$671$			63.3591i			2.44595i
$672$	−24.4696	+	8.55808i	−0.943934	+	0.330135i
$673$	2.29256	−	2.29256i	0.0883718	−	0.0883718i	−0.661539	−	0.749911i	$-0.730096\pi$
$673$	2.29256	−	2.29256i	0.0883718	−	0.0883718i	0.749911	+	0.661539i	$0.230096\pi$
$674$	−21.2402	−	3.69914i	−0.818143	−	0.142486i
$675$	23.1249	+	11.8423i	0.890076	+	0.455812i
$676$	−24.2708	−	8.71831i	−0.933493	−	0.335320i
$677$	35.3951	−	9.48409i	1.36034	−	0.364503i	0.496401	−	0.868093i	$-0.334654\pi$
$677$	35.3951	−	9.48409i	1.36034	−	0.364503i	0.863943	+	0.503590i	$0.167988\pi$
$678$	−17.8225	+	3.22403i	−0.684468	+	0.123818i
$679$	−14.5370	−	12.8428i	−0.557878	−	0.492861i
$680$	−27.2257	+	28.7940i	−1.04406	+	1.10420i
$681$	0.290650	+	3.23555i	0.0111377	+	0.123987i
$682$	2.86574	+	31.9801i	0.109735	+	1.22458i
$683$	9.21808	+	2.46998i	0.352720	+	0.0945110i	0.430829	−	0.902434i	$-0.358221\pi$
$683$	9.21808	+	2.46998i	0.352720	+	0.0945110i	−0.0781085	+	0.996945i	$0.524888\pi$
$684$	−38.8355	−	6.49364i	−1.48491	−	0.248291i
$685$	−20.7951	−	34.2805i	−0.794541	−	1.30979i
$686$	18.2785	−	18.7589i	0.697877	−	0.716217i
$687$	−1.15857	+	6.66103i	−0.0442022	+	0.254134i
$688$	−0.670113	−	6.98182i	−0.0255478	−	0.266179i
$689$	−1.88751	−	3.26926i	−0.0719084	−	0.124549i
$690$	−28.1731	+	14.0438i	−1.07253	+	0.534639i
$691$	22.6510	+	13.0776i	0.861685	+	0.497494i	0.864576	−	0.502502i	$-0.167587\pi$
$691$	22.6510	+	13.0776i	0.861685	+	0.497494i	−0.00289134	+	0.999996i	$0.500920\pi$
$692$	17.0432	+	1.41881i	0.647883	+	0.0539349i
$693$	34.5053	+	10.0201i	1.31075	+	0.380633i
$694$	−15.3821	−	41.9869i	−0.583898	−	1.59380i
$695$	−15.0522	−	14.4135i	−0.570964	−	0.546737i
$696$	−1.71352	+	1.22202i	−0.0649510	+	0.0463204i
$697$	−3.36635	+	12.5634i	−0.127510	+	0.475872i
$698$	−1.30660	+	0.918994i	−0.0494554	+	0.0347844i
$699$	−12.2179	+	8.59744i	−0.462123	+	0.325185i
$700$	−25.7010	−	6.28161i	−0.971406	−	0.237423i
$701$	−14.5794			−0.550656			−0.275328	−	0.961350i	$-0.588786\pi$
$701$	−14.5794			−0.550656			−0.275328	+	0.961350i	$0.588786\pi$
$702$	1.51695	−	1.84151i	0.0572536	−	0.0695035i
$703$	6.60300	+	1.76927i	0.249037	+	0.0667292i
$704$	31.5892	+	17.7099i	1.19056	+	0.667465i
$705$	4.40899	−	29.0668i	0.166052	−	1.09472i
$706$	−12.9163	−	35.2561i	−0.486111	−	1.32688i
$707$	−22.5160	−	33.9653i	−0.846800	−	1.27740i
$708$	3.16213	+	5.39525i	0.118840	+	0.202766i
$709$	22.4625	−	38.9061i	0.843595	−	1.46115i	−0.0432403	−	0.999065i	$-0.513768\pi$
$709$	22.4625	−	38.9061i	0.843595	−	1.46115i	0.886836	−	0.462085i	$-0.152899\pi$
$710$	7.51637	−	49.4798i	0.282085	−	1.85694i
$711$	−16.5549	+	2.99846i	−0.620858	+	0.112451i
$712$	22.0988	+	5.77202i	0.828186	+	0.216316i
$713$	20.3824	+	20.3824i	0.763328	+	0.763328i
$714$	29.3105	−	28.1024i	1.09692	−	1.05171i
$715$	−2.80988	+	1.70453i	−0.105084	+	0.0637456i
$716$	4.61502	+	25.5438i	0.172471	+	0.954615i
$717$	−37.8491	+	13.8756i	−1.41350	+	0.518195i
$718$	3.04259	+	33.9537i	0.113549	+	1.26714i
$719$	11.8847	−	20.5849i	0.443225	−	0.767687i	−0.554702	−	0.832049i	$-0.687168\pi$
$719$	11.8847	−	20.5849i	0.443225	−	0.767687i	0.997927	+	0.0643616i	$0.0205011\pi$
$720$	−19.6212	−	18.3032i	−0.731240	−	0.682121i
$721$	1.79399	+	5.34899i	0.0668115	+	0.199207i
$722$	30.8755	+	14.3184i	1.14907	+	0.532877i
$723$	−4.89261	−	4.08605i	−0.181958	−	0.151962i
$724$	1.53293	+	0.550643i	0.0569709	+	0.0204645i
$725$	−2.14602	+	0.0930777i	−0.0797011	+	0.00345682i
$726$	−9.91975	−	21.0293i	−0.368156	−	0.780472i
$727$	−9.93030	−	9.93030i	−0.368295	−	0.368295i	0.498560	−	0.866855i	$-0.333862\pi$
$727$	−9.93030	−	9.93030i	−0.368295	−	0.368295i	−0.866855	+	0.498560i	$0.833862\pi$
$728$	−1.06879	+	2.18193i	−0.0396121	+	0.0808678i
$729$	−13.8246	−	23.1922i	−0.512023	−	0.858972i
$730$	41.2142	+	18.0383i	1.52541	+	0.667627i
$731$	5.49333	+	9.51473i	0.203178	+	0.351915i
$732$	−23.9674	+	42.1463i	−0.885861	+	1.55777i
$733$	−1.59065	+	0.426214i	−0.0587520	+	0.0157426i	−0.288075	−	0.957608i	$-0.593015\pi$
$733$	−1.59065	+	0.426214i	−0.0587520	+	0.0157426i	0.229323	+	0.973350i	$0.426349\pi$
$734$	3.65679	+	9.98153i	0.134975	+	0.368425i
$735$	25.9886	+	7.71964i	0.958604	+	0.284743i
$736$	31.9567	−	5.98228i	1.17794	−	0.220510i
$737$	1.74947	+	6.52912i	0.0644426	+	0.240503i
$738$	−8.52220	−	2.22196i	−0.313707	−	0.0817914i
$739$	10.6038	+	18.3663i	0.390066	+	0.675614i	0.992458	−	0.122586i	$-0.0391189\pi$
$739$	10.6038	+	18.3663i	0.390066	+	0.675614i	−0.602392	+	0.798200i	$0.705786\pi$
$740$	3.08578	+	3.48993i	0.113436	+	0.128293i
$741$	−3.01808	+	2.12375i	−0.110872	+	0.0780178i
$742$	39.8474	−	17.4598i	1.46284	−	0.640969i
$743$	6.22673	+	6.22673i	0.228437	+	0.228437i	0.812039	−	0.583603i	$-0.198357\pi$
$743$	6.22673	+	6.22673i	0.228437	+	0.228437i	−0.583603	+	0.812039i	$0.698357\pi$
$744$	−10.1911	+	22.3571i	−0.373625	+	0.819653i
$745$	−5.60480	−	19.2395i	−0.205344	−	0.704881i
$746$	−1.40131	+	1.67717i	−0.0513056	+	0.0614057i
$747$	−1.56845	+	18.9407i	−0.0573866	+	0.693005i
$748$	−56.5318	−	4.70616i	−2.06701	−	0.172074i
$749$	3.88249	−	1.30214i	0.141863	−	0.0475791i
$750$	−6.61555	−	26.5751i	−0.241566	−	0.970384i
$751$	10.5867	−	18.3367i	0.386313	−	0.669114i	−0.605637	−	0.795741i	$-0.707082\pi$
$751$	10.5867	−	18.3367i	0.386313	−	0.669114i	0.991950	+	0.126627i	$0.0404150\pi$
$752$	−12.6000	+	27.6257i	−0.459474	+	1.00741i
$753$	6.59401	−	2.41739i	0.240299	−	0.0880944i
$754$	−0.0338444	+	0.194333i	−0.00123254	+	0.00707717i
$755$	3.99600	−	16.3201i	0.145429	−	0.593950i
$756$	19.1625	+	19.7180i	0.696932	+	0.717137i
$757$	−0.0101012	+	0.0101012i	−0.000367133	+	0.000367133i	−0.707290	−	0.706923i	$-0.750083\pi$
$757$	−0.0101012	+	0.0101012i	−0.000367133	+	0.000367133i	0.706923	+	0.707290i	$0.250083\pi$
$758$	10.2235	−	7.19068i	0.371334	−	0.261177i
$759$	−40.8853	−	18.9496i	−1.48404	−	0.687828i
$760$	21.7500	+	35.3492i	0.788955	+	1.28225i
$761$	−13.0967	−	7.56139i	−0.474756	−	0.274100i	0.243473	−	0.969908i	$-0.421713\pi$
$761$	−13.0967	−	7.56139i	−0.474756	−	0.274100i	−0.718228	+	0.695807i	$0.755047\pi$
$762$	−18.9757	+	3.43264i	−0.687418	+	0.124352i
$763$	9.92202	+	14.9674i	0.359201	+	0.541855i
$764$	−11.8271	+	10.0093i	−0.427889	+	0.362122i
$765$	39.8611	+	13.3312i	1.44118	+	0.481989i
$766$	22.9802	−	27.5041i	0.830308	−	0.993764i
$767$	0.566151	+	0.151700i	0.0204425	+	0.00547756i
$768$	14.3138	+	23.7301i	0.516503	+	0.856285i
$769$		−	20.8029i		−	0.750171i	−0.926990	−	0.375086i	$-0.877613\pi$
$769$		−	20.8029i		−	0.750171i	0.926990	−	0.375086i	$-0.122387\pi$
$770$	−15.9484	−	34.3528i	−0.574739	−	1.23799i
$771$	20.6671	+	29.3703i	0.744309	+	1.05774i
$772$	−4.62846	+	6.66971i	−0.166582	+	0.240048i
$773$	−5.02848	−	1.34738i	−0.180862	−	0.0484618i	0.167251	−	0.985914i	$-0.446511\pi$
$773$	−5.02848	−	1.34738i	−0.180862	−	0.0484618i	−0.348113	+	0.937453i	$0.613178\pi$
$774$	−6.41742	+	3.76310i	−0.230669	+	0.135262i
$775$	−21.1536	+	13.4678i	−0.759859	+	0.483776i
$776$	−10.2548	+	18.0237i	−0.368124	+	0.647012i
$777$	−2.98293	−	3.72678i	−0.107012	−	0.133698i
$778$	12.2644	−	26.4462i	0.439698	−	0.948142i
$779$	11.7976	+	6.81134i	0.422692	+	0.244041i
$780$	−2.51391	+	0.0709261i	−0.0900126	+	0.00253956i
$781$	62.0453	−	35.8219i	2.22016	−	1.28181i
$782$	−41.6553	+	29.2982i	−1.48959	+	1.04770i
$783$	1.94096	+	1.10265i	0.0693644	+	0.0394055i
$784$	−23.6318	−	15.0180i	−0.843992	−	0.536356i
$785$	−10.1684	−	16.7624i	−0.362925	−	0.598277i
$786$	8.67908	+	18.3992i	0.309572	+	0.656277i
$787$	−31.0976	−	8.33259i	−1.10851	−	0.297025i	−0.342285	−	0.939596i	$-0.611201\pi$
$787$	−31.0976	−	8.33259i	−1.10851	−	0.297025i	−0.766226	+	0.642571i	$0.777868\pi$
$788$	11.0335	−	5.20166i	0.393052	−	0.185302i
$789$	0.110303	+	1.22791i	0.00392689	+	0.0437146i
$790$	13.8525	+	11.0732i	0.492849	+	0.393967i
$791$	−14.6610	−	12.9523i	−0.521285	−	0.460532i
$792$	2.92815	−	38.2999i	0.104047	−	1.36093i
$793$	1.17613	+	4.38939i	0.0417657	+	0.155872i
$794$	−30.2220	−	25.2511i	−1.07254	−	0.896126i
$795$	35.1808	+	28.1097i	1.24773	+	0.996950i
$796$	4.41811	+	24.4539i	0.156596	+	0.866745i
$797$	−3.02678	−	3.02678i	−0.107214	−	0.107214i	0.651465	−	0.758679i	$-0.274155\pi$
$797$	−3.02678	−	3.02678i	−0.107214	−	0.107214i	−0.758679	+	0.651465i	$0.774155\pi$
$798$	−20.4852	−	37.2708i	−0.725168	−	1.31937i
$799$		−	47.5617i		−	1.68261i
$800$	−0.944411	+	28.2685i	−0.0333900	+	0.999442i
$801$	−4.31754	−	23.8378i	−0.152553	−	0.842266i
$802$	−14.7670	+	1.32328i	−0.521442	+	0.0467265i
$803$	16.6685	+	62.2078i	0.588219	+	2.19526i
$804$	−1.30608	+	5.00494i	−0.0460620	+	0.176511i
$805$	−30.7612	−	14.4866i	−1.08419	−	0.510584i
$806$	0.792179	+	2.16232i	0.0279033	+	0.0761645i
$807$	2.68930	−	3.22014i	0.0946677	−	0.113354i
$808$	−30.6094	+	30.9985i	−1.07684	+	1.09052i
$809$	1.64827	+	2.85488i	0.0579500	+	0.100372i	0.893545	−	0.448974i	$-0.148210\pi$
$809$	1.64827	+	2.85488i	0.0579500	+	0.100372i	−0.835595	+	0.549346i	$0.814877\pi$
$810$	−8.84445	+	27.0514i	−0.310762	+	0.950488i
$811$			37.6515i			1.32212i	0.750332	+	0.661061i	$0.229894\pi$
$811$			37.6515i			1.32212i	−0.750332	+	0.661061i	$0.770106\pi$
$812$	−2.18280	−	0.634905i	−0.0766014	−	0.0222808i
$813$	−4.55562	+	26.1919i	−0.159773	+	0.918591i
$814$	−1.14419	+	6.56984i	−0.0401037	+	0.230273i
$815$	34.1658	+	18.7504i	1.19678	+	0.656799i
$816$	−35.8246	−	24.5153i	−1.25411	−	0.858208i
$817$	11.1150	−	2.97825i	0.388864	−	0.104196i
$818$	6.28723	−	13.5574i	0.219828	−	0.474025i
$819$	2.57646	+	0.0536521i	0.0900289	+	0.00187476i
$820$	4.13981	+	8.30935i	0.144568	+	0.290175i
$821$	−12.5365	+	21.7139i	−0.437528	+	0.757820i	−0.997498	−	0.0706922i	$-0.977479\pi$
$821$	−12.5365	+	21.7139i	−0.437528	+	0.757820i	0.559970	+	0.828513i	$0.310813\pi$
$822$	33.5205	−	28.3810i	1.16916	−	0.989900i
$823$	−31.1073	−	8.33518i	−1.08433	−	0.290546i	−0.327963	−	0.944690i	$-0.606362\pi$
$823$	−31.1073	−	8.33518i	−1.08433	−	0.290546i	−0.756370	+	0.654144i	$0.773029\pi$
$824$	5.20416	−	3.04860i	0.181296	−	0.106203i
$825$	23.8024	−	31.1509i	0.828692	−	1.08453i
$826$	−2.45788	+	6.29162i	−0.0855207	+	0.218914i
$827$	15.3668	+	15.3668i	0.534356	+	0.534356i	0.921866	−	0.387510i	$-0.126665\pi$
$827$	15.3668	+	15.3668i	0.534356	+	0.534356i	−0.387510	+	0.921866i	$0.626665\pi$
$828$	−20.0286	−	28.0713i	−0.696041	−	0.975546i
$829$	−13.9213	−	24.1124i	−0.483507	−	0.837458i	0.516314	−	0.856399i	$-0.327304\pi$
$829$	−13.9213	−	24.1124i	−0.483507	−	0.837458i	−0.999821	+	0.0189412i	$0.993970\pi$
$830$	16.1328	−	11.8777i	0.559976	−	0.412282i
$831$	10.8254	−	0.972447i	0.375529	−	0.0337338i
$832$	2.51718	+	0.640514i	0.0872675	+	0.0222058i
$833$	43.4414	+	6.04218i	1.50515	+	0.209349i
$834$	13.0115	−	18.7586i	0.450551	−	0.649557i
$835$	17.3573	−	0.376236i	0.600674	−	0.0130202i
$836$	−20.0857	+	55.9164i	−0.694679	+	1.93391i
$837$	26.0601	−	0.181640i	0.900770	−	0.00627839i
$838$	−16.1195	−	22.9182i	−0.556838	−	0.791695i
$839$	−27.4785			−0.948664			−0.474332	−	0.880346i	$-0.657310\pi$
$839$	−27.4785			−0.948664			−0.474332	+	0.880346i	$0.657310\pi$
$840$	2.38614	−	28.8844i	0.0823298	−	0.996605i
$841$	28.8154			0.993636
$842$	9.84270	+	13.9940i	0.339202	+	0.482267i
$843$	−7.09685	−	19.3584i	−0.244429	−	0.666738i
$844$	27.0744	+	9.72539i	0.931939	+	0.334762i
$845$	19.9415	−	20.8252i	0.686009	−	0.716408i
$846$	32.2046	−	0.217437i	1.10722	−	0.00747563i
$847$	11.1900	−	22.4838i	0.384494	−	0.772554i
$848$	−26.9960	−	37.8715i	−0.927046	−	1.30051i
$849$	−1.33513	−	14.8628i	−0.0458215	−	0.510090i
$850$	−17.0291	−	40.9015i	−0.584092	−	1.40291i
$851$	2.99342	+	5.18475i	0.102613	+	0.177731i
$852$	54.8231	−	0.358184i	1.87821	−	0.0122712i
$853$	27.3218	+	27.3218i	0.935480	+	0.935480i	0.998041	−	0.0625610i	$-0.0199268\pi$
$853$	27.3218	+	27.3218i	0.935480	+	0.935480i	−0.0625610	+	0.998041i	$0.519927\pi$
$854$	−51.7720	+	7.88657i	−1.77160	+	0.269873i
$855$	24.2924	−	36.7129i	0.830782	−	1.25555i
$856$	−2.21278	−	3.77736i	−0.0756314	−	0.129108i
$857$	−1.15958	−	0.310708i	−0.0396105	−	0.0106136i	0.238959	−	0.971030i	$-0.423194\pi$
$857$	−1.15958	−	0.310708i	−0.0396105	−	0.0106136i	−0.278570	+	0.960416i	$0.589860\pi$
$858$	−2.32632	−	2.74759i	−0.0794192	−	0.0938013i
$859$	25.0727	−	43.4273i	0.855471	−	1.48172i	−0.0207365	−	0.999785i	$-0.506601\pi$
$859$	25.0727	−	43.4273i	0.855471	−	1.48172i	0.876207	−	0.481934i	$-0.160066\pi$
$860$	7.43581	+	2.49044i	0.253559	+	0.0849234i
$861$	−3.81967	−	8.71221i	−0.130174	−	0.296911i
$862$	1.06729	−	2.30146i	0.0363522	−	0.0783879i
$863$	−16.5319	+	4.42971i	−0.562753	+	0.150789i	−0.528971	−	0.848640i	$-0.677422\pi$
$863$	−16.5319	+	4.42971i	−0.562753	+	0.150789i	−0.0337822	+	0.999429i	$0.510755\pi$
$864$	16.4358	−	24.3693i	0.559158	−	0.829061i
$865$	−9.19927	+	16.7623i	−0.312785	+	0.569936i
$866$	−6.10478	+	35.0532i	−0.207449	+	1.19116i
$867$	37.9824	+	6.60637i	1.28995	+	0.224364i
$868$	−25.7749	+	6.32235i	−0.874857	+	0.214595i
$869$			25.3870i			0.861196i
$870$	−0.468941	−	2.30585i	−0.0158986	−	0.0781757i
$871$	0.242400	+	0.419848i	0.00821340	+	0.0142260i
$872$	13.4885	−	13.6600i	0.456779	−	0.462585i
$873$	21.9196	+	1.81513i	0.741866	+	0.0614327i
$874$	18.3485	+	50.0839i	0.620649	+	1.69411i
$875$	18.1031	−	23.3940i	0.611996	−	0.790861i
$876$	−12.4440	+	47.6858i	−0.420445	+	1.61115i
$877$	−5.44771	−	20.3311i	−0.183956	−	0.686533i	−0.994852	−	0.101342i	$-0.967686\pi$
$877$	−5.44771	−	20.3311i	−0.183956	−	0.686533i	0.810896	−	0.585191i	$-0.198980\pi$
$878$	4.14540	−	0.371471i	0.139901	−	0.0125365i
$879$	−16.5328	+	35.6709i	−0.557639	+	1.20315i
$880$	−32.4532	+	24.2112i	−1.09400	+	0.816159i
$881$			37.5417i			1.26481i	0.774638	+	0.632405i	$0.217932\pi$
$881$			37.5417i			1.26481i	−0.774638	+	0.632405i	$0.782068\pi$
$882$	−3.89263	+	29.4423i	−0.131072	+	0.991373i
$883$	−34.4246	−	34.4246i	−1.15848	−	1.15848i	−0.984803	−	0.173677i	$-0.944435\pi$
$883$	−34.4246	−	34.4246i	−1.15848	−	1.15848i	−0.173677	−	0.984803i	$-0.555565\pi$
$884$	−4.00377	+	0.723366i	−0.134661	+	0.0243294i
$885$	−6.94853	+	0.776315i	−0.233572	+	0.0260956i
$886$	−31.1776	−	26.0494i	−1.04743	−	0.875148i
$887$	−8.28200	−	30.9089i	−0.278082	−	1.03782i	−0.953747	−	0.300609i	$-0.902810\pi$
$887$	−8.28200	−	30.9089i	−0.278082	−	1.03782i	0.675665	−	0.737209i	$-0.263857\pi$
$888$	−3.24634	+	3.93742i	−0.108940	+	0.132131i
$889$	−15.6097	−	13.7904i	−0.523531	−	0.462517i
$890$	−15.9445	+	19.9465i	−0.534461	+	0.668607i
$891$	−38.1535	+	14.2897i	−1.27819	+	0.478722i
$892$	−13.0906	−	27.7670i	−0.438305	−	0.929708i
$893$	−48.1172	−	12.8930i	−1.61018	−	0.431447i
$894$	19.8539	−	9.36529i	0.664014	−	0.313222i
$895$	−28.1885	−	6.90198i	−0.942237	−	0.230708i
$896$	−10.5391	+	28.0166i	−0.352085	+	0.935968i
$897$	−3.18421	−	0.553838i	−0.106318	−	0.0184921i
$898$	−29.2144	+	20.5479i	−0.974898	+	0.685694i
$899$	−1.86598	+	1.07732i	−0.0622339	+	0.0359308i
$900$	27.6170	−	11.7176i	0.920567	−	0.390586i
$901$	63.0912	+	36.4257i	2.10187	+	1.21352i
$902$	−5.59101	+	12.0562i	−0.186160	+	0.401426i
$903$	−7.48521	−	2.92229i	−0.249092	−	0.0972476i
$904$	−10.3422	+	18.1774i	−0.343978	+	0.604572i
$905$	−1.25949	+	1.31530i	−0.0418670	+	0.0437222i
$906$	18.3428	+	1.52297i	0.609398	+	0.0505972i
$907$	36.7111	+	9.83671i	1.21897	+	0.326623i	0.810276	−	0.586048i	$-0.199317\pi$
$907$	36.7111	+	9.83671i	1.21897	+	0.326623i	0.408696	+	0.912671i	$0.365984\pi$
$908$	3.08178	+	2.13861i	0.102272	+	0.0709722i
$909$	43.4932	+	15.6017i	1.44258	+	0.517477i
$910$	−1.74256	−	2.08385i	−0.0577653	−	0.0690788i
$911$		−	20.4092i		−	0.676187i	−0.941112	−	0.338094i	$-0.890218\pi$
$911$		−	20.4092i		−	0.676187i	0.941112	−	0.338094i	$-0.109782\pi$
$912$	−34.5130	+	29.5974i	−1.14284	+	0.980069i
$913$	27.7013	+	7.42254i	0.916779	+	0.245650i
$914$	−22.8619	+	27.3625i	−0.756205	+	0.905072i
$915$	−32.1485	−	43.6453i	−1.06280	−	1.44287i
$916$	5.04336	+	5.95931i	0.166637	+	0.196901i
$917$	−9.79049	+	19.6718i	−0.323310	+	0.649619i
$918$	−7.58346	+	45.4141i	−0.250292	+	1.49889i
$919$	−31.3447	−	18.0969i	−1.03397	−	0.596961i	−0.115848	−	0.993267i	$-0.536959\pi$
$919$	−31.3447	−	18.0969i	−1.03397	−	0.596961i	−0.918118	+	0.396306i	$0.870292\pi$
$920$	−8.42166	+	35.3602i	−0.277654	+	1.16579i
$921$	−6.58385	+	14.2052i	−0.216945	+	0.468077i
$922$	−5.36128	+	3.77085i	−0.176564	+	0.124186i
$923$	3.63341	−	3.63341i	0.119595	−	0.119595i
$924$	34.4305	−	23.1496i	1.13268	−	0.761565i
$925$	−4.96776	+	1.56476i	−0.163339	+	0.0514489i
$926$	7.98966	−	45.8761i	0.262557	−	1.50758i
$927$	−5.25729	−	3.64491i	−0.172672	−	0.119714i
$928$	−0.186316	+	2.42307i	−0.00611611	+	0.0795412i
$929$	−3.64432	+	6.31215i	−0.119566	+	0.207095i	−0.919596	−	0.392866i	$-0.871484\pi$
$929$	−3.64432	+	6.31215i	−0.119566	+	0.207095i	0.800030	+	0.599961i	$0.204817\pi$
$930$	−18.2008	−	20.5756i	−0.596829	−	0.674700i
$931$	17.8888	−	42.3109i	0.586282	−	1.38668i
$932$	−1.43114	+	17.1913i	−0.0468787	+	0.563121i
$933$	7.02502	−	8.41170i	0.229989	−	0.275387i
$934$	18.4100	−	22.0342i	0.602394	−	0.720982i
$935$	30.5138	−	55.6004i	0.997909	−	1.81833i
$936$	−0.508103	−	2.70769i	−0.0166079	−	0.0885036i
$937$	32.4297	+	32.4297i	1.05943	+	1.05943i	0.998119	+	0.0613123i	$0.0195286\pi$
$937$	32.4297	+	32.4297i	1.05943	+	1.05943i	0.0613123	+	0.998119i	$0.480471\pi$
$938$	−5.11731	+	2.24224i	−0.167086	+	0.0732116i
$939$	34.0992	+	48.4587i	1.11279	+	1.58139i
$940$	−22.4867	−	25.4318i	−0.733434	−	0.829493i
$941$	27.8124	+	48.1725i	0.906658	+	1.57038i	0.818676	+	0.574255i	$0.194708\pi$
$941$	27.8124	+	48.1725i	0.906658	+	1.57038i	0.0879815	+	0.996122i	$0.471958\pi$
$942$	16.3908	−	13.8777i	0.534042	−	0.452160i
$943$	3.08787	+	11.5241i	0.100555	+	0.375276i
$944$	7.12166	+	1.19400i	0.231790	+	0.0388614i
$945$	−28.8534	+	10.6057i	−0.938602	+	0.345002i
$946$	3.86159	+	10.5405i	0.125551	+	0.342703i
$947$	−2.55082	+	0.683491i	−0.0828906	+	0.0222105i	−0.300026	−	0.953931i	$-0.596995\pi$
$947$	−2.55082	+	0.683491i	−0.0828906	+	0.0222105i	0.217135	+	0.976142i	$0.430329\pi$
$948$	−9.60338	+	16.8874i	−0.311903	+	0.548477i
$949$	2.30952	+	4.00021i	0.0749702	+	0.129852i
$950$	−45.9954	+	6.14045i	−1.49229	+	0.199223i
$951$	−20.0862	+	14.1342i	−0.651341	+	0.458333i
$952$	−3.19125	−	46.7791i	−0.103429	−	1.51612i
$953$	10.5207	+	10.5207i	0.340798	+	0.340798i	0.856667	−	0.515870i	$-0.172531\pi$
$953$	10.5207	+	10.5207i	0.340798	+	0.340798i	−0.515870	+	0.856667i	$0.672531\pi$
$954$	−24.3758	+	42.8863i	−0.789197	+	1.38849i
$955$	−4.84504	−	16.6315i	−0.156782	−	0.538183i
$956$	−15.7363	+	43.8082i	−0.508949	+	1.41686i
$957$	2.15919	−	2.58539i	0.0697966	−	0.0835739i
$958$	−15.2032	−	7.05044i	−0.491192	−	0.227789i
$959$	46.4951	+	9.42504i	1.50140	+	0.304350i
$960$	−30.7464	+	3.82886i	−0.992335	+	0.123576i
$961$	2.92290	−	5.06261i	0.0942871	−	0.163310i
$962$	0.0426889	+	0.476385i	0.00137635	+	0.0153593i
$963$	−2.64560	+	3.81593i	−0.0852533	+	0.122967i
$964$	−7.24329	+	1.30865i	−0.233291	+	0.0421489i
$965$	−4.70758	−	7.76037i	−0.151542	−	0.249815i
$966$	10.3950	−	35.7670i	0.334453	−	1.15078i
$967$	−15.4941	−	15.4941i	−0.498257	−	0.498257i	0.412638	−	0.910895i	$-0.364607\pi$
$967$	−15.4941	−	15.4941i	−0.498257	−	0.498257i	−0.910895	+	0.412638i	$0.864607\pi$
$968$	−25.9771	−	6.78501i	−0.834935	−	0.218078i
$969$	29.9482	−	64.6156i	0.962074	−	2.07575i
$970$	−13.7458	−	18.6700i	−0.441350	−	0.599457i
$971$	−8.29053	+	14.3596i	−0.266056	+	0.460822i	−0.967840	−	0.251568i	$-0.919054\pi$
$971$	−8.29053	+	14.3596i	−0.266056	+	0.460822i	0.701784	+	0.712390i	$0.252387\pi$
$972$	−30.7851	−	4.92723i	−0.987433	−	0.158041i
$973$	24.6116	−	1.52291i	0.789011	−	0.0488222i
$974$	13.1224	+	35.8187i	0.420469	+	1.14771i
$975$	1.07072	−	2.59991i	0.0342906	−	0.0832638i
$976$	19.5903	+	52.4457i	0.627071	+	1.67875i
$977$	27.1007	+	7.26161i	0.867028	+	0.232320i	0.664802	−	0.747019i	$-0.268516\pi$
$977$	27.1007	+	7.26161i	0.867028	+	0.232320i	0.202226	+	0.979339i	$0.435182\pi$
$978$	−14.4239	+	40.1822i	−0.461227	+	1.28489i
$979$	−36.5553			−1.16831
$980$	26.0853	−	17.3078i	0.833263	−	0.552877i
$981$	−19.1660	−	6.87516i	−0.611922	−	0.219507i
$982$	−42.8582	+	30.1443i	−1.36766	+	0.961943i
$983$	12.6428	−	47.1835i	0.403242	−	1.50492i	−0.404033	−	0.914744i	$-0.632392\pi$
$983$	12.6428	−	47.1835i	0.403242	−	1.50492i	0.807275	−	0.590175i	$-0.200941\pi$
$984$	−8.27972	+	5.90477i	−0.263948	+	0.188237i
$985$	0.295546	+	13.6348i	0.00941689	+	0.434440i
$986$	−1.30951	−	3.57441i	−0.0417032	−	0.113832i
$987$	21.7372	+	27.1577i	0.691901	+	0.864440i
$988$	−0.353522	+	4.24662i	−0.0112470	+	0.135103i
$989$	8.72762	+	5.03890i	0.277522	+	0.160228i
$990$	37.7871	+	20.4071i	1.20095	+	0.648579i
$991$	18.4169	+	31.8990i	0.585032	+	1.01331i	0.994871	+	0.101147i	$0.0322514\pi$
$991$	18.4169	+	31.8990i	0.585032	+	1.01331i	−0.409840	+	0.912158i	$0.634415\pi$
$992$	12.2602	+	25.5856i	0.389262	+	0.812343i
$993$	4.10811	+	0.714533i	0.130367	+	0.0226750i
$994$	36.9938	+	46.2396i	1.17337	+	1.46663i
$995$	−26.9858	−	6.60750i	−0.855507	−	0.209472i
$996$	15.6190	+	15.4163i	0.494908	+	0.488483i
$997$	26.2257	+	7.02714i	0.830575	+	0.222552i	0.648964	−	0.760819i	$-0.275202\pi$
$997$	26.2257	+	7.02714i	0.830575	+	0.222552i	0.181610	+	0.983371i	$0.441869\pi$
$998$	3.79936	+	42.3987i	0.120267	+	1.34211i
$999$	5.23790	+	1.36443i	0.165720	+	0.0431688i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	840.2.dc.e.317.31	yes	704
3.2	odd	2	inner	840.2.dc.e.317.146	yes	704
5.3	odd	4	inner	840.2.dc.e.653.119	yes	704
7.4	even	3	inner	840.2.dc.e.557.84	yes	704
8.5	even	2	inner	840.2.dc.e.317.172	yes	704
15.8	even	4	inner	840.2.dc.e.653.58	yes	704
21.11	odd	6	inner	840.2.dc.e.557.93	yes	704
24.5	odd	2	inner	840.2.dc.e.317.5	yes	704
35.18	odd	12	inner	840.2.dc.e.53.5	✓	704
40.13	odd	4	inner	840.2.dc.e.653.93	yes	704
56.53	even	6	inner	840.2.dc.e.557.58	yes	704
105.53	even	12	inner	840.2.dc.e.53.172	yes	704
120.53	even	4	inner	840.2.dc.e.653.84	yes	704
168.53	odd	6	inner	840.2.dc.e.557.119	yes	704
280.53	odd	12	inner	840.2.dc.e.53.146	yes	704
840.53	even	12	inner	840.2.dc.e.53.31	yes	704

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
840.2.dc.e.53.5	✓	704	35.18	odd	12	inner
840.2.dc.e.53.31	yes	704	840.53	even	12	inner
840.2.dc.e.53.146	yes	704	280.53	odd	12	inner
840.2.dc.e.53.172	yes	704	105.53	even	12	inner
840.2.dc.e.317.5	yes	704	24.5	odd	2	inner
840.2.dc.e.317.31	yes	704	1.1	even	1	trivial
840.2.dc.e.317.146	yes	704	3.2	odd	2	inner
840.2.dc.e.317.172	yes	704	8.5	even	2	inner
840.2.dc.e.557.58	yes	704	56.53	even	6	inner
840.2.dc.e.557.84	yes	704	7.4	even	3	inner
840.2.dc.e.557.93	yes	704	21.11	odd	6	inner
840.2.dc.e.557.119	yes	704	168.53	odd	6	inner
840.2.dc.e.653.58	yes	704	15.8	even	4	inner
840.2.dc.e.653.84	yes	704	120.53	even	4	inner
840.2.dc.e.653.93	yes	704	40.13	odd	4	inner
840.2.dc.e.653.119	yes	704	5.3	odd	4	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:	\( N \)	\(=\)	\( 840 = 2^{3} \cdot 3 \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	840.dc (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.15675 + 0.813596i) q^{2} +(1.62621 - 0.596176i) q^{3} +(0.676122 - 1.88225i) q^{4} +(1.61503 + 1.54650i) q^{5} +(-1.39607 + 2.01271i) q^{6} +(-2.64070 + 0.163401i) q^{7} +(0.749289 + 2.72737i) q^{8} +(2.28915 - 1.93902i) q^{9} +(-3.12641 - 0.474926i) q^{10} +(-2.26343 - 3.92037i) q^{11} +(-0.0226321 - 3.46403i) q^{12} +(-0.229579 - 0.229579i) q^{13} +(2.92168 - 2.33748i) q^{14} +(3.54838 + 1.55210i) q^{15} +(-3.08572 - 2.54526i) q^{16} +(6.05216 + 1.62167i) q^{17} +(-1.07038 + 4.10540i) q^{18} +(3.28122 - 5.68324i) q^{19} +(4.00286 - 1.99427i) q^{20} +(-4.19693 + 1.84005i) q^{21} +(5.80781 + 2.69336i) q^{22} +(5.55149 - 1.48752i) q^{23} +(2.84450 + 3.98859i) q^{24} +(0.216658 + 4.99530i) q^{25} +(0.452350 + 0.0787800i) q^{26} +(2.56665 - 4.51800i) q^{27} +(-1.47788 + 5.08093i) q^{28} +0.429607i q^{29} +(-5.36735 + 1.09156i) q^{30} +(2.50770 + 4.34346i) q^{31} +(5.64021 + 0.433688i) q^{32} +(-6.01805 - 5.02596i) q^{33} +(-8.32019 + 3.04815i) q^{34} +(-4.51752 - 3.81995i) q^{35} +(-2.10197 - 5.61976i) q^{36} +(0.269605 + 1.00618i) q^{37} +(0.828326 + 9.24366i) q^{38} +(-0.510215 - 0.236475i) q^{39} +(-3.00776 + 5.56357i) q^{40} +2.07585i q^{41} +(3.35773 - 5.54307i) q^{42} +(1.23989 + 1.23989i) q^{43} +(-8.90946 + 1.60968i) q^{44} +(6.69575 + 0.408594i) q^{45} +(-5.21142 + 6.23735i) q^{46} +(-1.96466 - 7.33221i) q^{47} +(-6.53546 - 2.29951i) q^{48} +(6.94660 - 0.862984i) q^{49} +(-4.31478 - 5.60202i) q^{50} +(10.8089 - 0.970966i) q^{51} +(-0.587349 + 0.276902i) q^{52} +(11.2309 + 3.00932i) q^{53} +(0.706867 + 7.31439i) q^{54} +(2.40736 - 9.83192i) q^{55} +(-2.42430 - 7.07974i) q^{56} +(1.94776 - 11.1984i) q^{57} +(-0.349527 - 0.496946i) q^{58} +(-1.56340 + 0.902632i) q^{59} +(5.32058 - 5.62952i) q^{60} +(-12.1211 - 6.99814i) q^{61} +(-6.43459 - 2.98403i) q^{62} +(-5.72812 + 5.49442i) q^{63} +(-6.87713 + 4.08718i) q^{64} +(-0.0157329 - 0.725823i) q^{65} +(11.0505 + 0.917499i) q^{66} +(-1.44231 - 0.386465i) q^{67} +(7.14438 - 10.2952i) q^{68} +(8.14109 - 5.72869i) q^{69} +(8.33352 + 0.743282i) q^{70} +15.8264i q^{71} +(7.00367 + 4.79047i) q^{72} +(-13.7419 - 3.68214i) q^{73} +(-1.13049 - 0.944545i) q^{74} +(3.33041 + 7.99427i) q^{75} +(-8.47877 - 10.0186i) q^{76} +(6.61762 + 9.98268i) q^{77} +(0.782584 - 0.141567i) q^{78} +(-4.85675 - 2.80405i) q^{79} +(-1.04728 - 8.88275i) q^{80} +(1.48040 - 8.87741i) q^{81} +(-1.68891 - 2.40124i) q^{82} +(-4.47966 + 4.47966i) q^{83} +(0.625788 + 9.14376i) q^{84} +(7.26651 + 11.9787i) q^{85} +(-2.44302 - 0.425469i) q^{86} +(0.256121 + 0.698633i) q^{87} +(8.99635 - 9.11070i) q^{88} +(4.03760 - 6.99333i) q^{89} +(-8.07771 + 4.97500i) q^{90} +(0.643763 + 0.568737i) q^{91} +(0.953607 - 11.4550i) q^{92} +(6.66752 + 5.56837i) q^{93} +(8.23807 + 6.88307i) q^{94} +(14.0884 - 4.10420i) q^{95} +(9.43074 - 2.65728i) q^{96} +(5.18418 + 5.18418i) q^{97} +(-7.33333 + 6.64998i) q^{98} +(-12.7830 - 4.58548i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 704 q - 16 q^{6} - 24 q^{7} + 12 q^{10} + 10 q^{12} + 32 q^{15} - 72 q^{16} + 6 q^{18} + 64 q^{22} - 8 q^{25} + 24 q^{28} + 8 q^{30} - 16 q^{31} + 44 q^{33} - 240 q^{36} + 16 q^{40} - 78 q^{42} - 8 q^{46}+ \cdots - 80 q^{97}+O(q^{100}) \) 704 * q - 16 * q^6 - 24 * q^7 + 12 * q^10 + 10 * q^12 + 32 * q^15 - 72 * q^16 + 6 * q^18 + 64 * q^22 - 8 * q^25 + 24 * q^28 + 8 * q^30 - 16 * q^31 + 44 * q^33 - 240 * q^36 + 16 * q^40 - 78 * q^42 - 8 * q^46 - 20 * q^48 - 60 * q^52 + 272 * q^55 + 8 * q^57 - 20 * q^58 - 14 * q^60 + 12 * q^63 - 84 * q^66 + 112 * q^70 - 38 * q^72 + 104 * q^73 - 64 * q^76 - 16 * q^78 - 168 * q^81 - 72 * q^82 - 64 * q^87 + 52 * q^88 - 44 * q^90 + 40 * q^96 - 80 * q^97

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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