LMFDB - Embedded newform 820.2.bv.c.103.16

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [820,2,Mod(103,820)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(820, base_ring=CyclotomicField(20)) chi = DirichletCharacter(H, H._module([10, 15, 7])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("820.103"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 820 = 2^{2} \cdot 5 \cdot 41 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	820.bv (of order $20$, degree $8$, minimal)

Newform invariants

comment:select newform

sage:traces = [960,-10] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(2)] == traces)

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

Self dual:	no
Analytic conductor:	$6.54773296574$
Analytic rank:	$0$
Dimension:	$960$
Relative dimension:	$120$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			103.16
Character	$\chi$	$=$	820.103
Dual form			820.2.bv.c.207.16

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.30454 + 0.546054i) q^{2} +3.28938 q^{3} +(1.40365 - 1.42470i) q^{4} +(-0.479772 - 2.18399i) q^{5} +(-4.29113 + 1.79618i) q^{6} +(-1.14493 + 0.372010i) q^{7} +(-1.05315 + 2.62505i) q^{8} +7.82003 q^{9} +(1.81846 + 2.58712i) q^{10} +(0.512928 - 3.23850i) q^{11} +(4.61714 - 4.68638i) q^{12} +(-2.12858 - 0.691618i) q^{13} +(1.29047 - 1.11050i) q^{14} +(-1.57815 - 7.18398i) q^{15} +(-0.0595359 - 3.99956i) q^{16} +(0.391645 + 0.539053i) q^{17} +(-10.2015 + 4.27016i) q^{18} +(3.18160 + 1.62111i) q^{19} +(-3.78496 - 2.38203i) q^{20} +(-3.76611 + 1.22368i) q^{21} +(1.09926 + 4.50484i) q^{22} +(-1.59211 - 3.12469i) q^{23} +(-3.46422 + 8.63478i) q^{24} +(-4.53964 + 2.09563i) q^{25} +(3.15448 - 0.260077i) q^{26} +15.8549 q^{27} +(-1.07708 + 2.15335i) q^{28} +(10.1164 - 1.60228i) q^{29} +(5.98160 + 8.51003i) q^{30} +(-1.82004 - 2.50507i) q^{31} +(2.26164 + 5.18507i) q^{32} +(1.68722 - 10.6527i) q^{33} +(-0.805269 - 0.489357i) q^{34} +(1.36177 + 2.32204i) q^{35} +(10.9766 - 11.1412i) q^{36} +(-5.35660 + 0.848402i) q^{37} +(-5.03574 - 0.377472i) q^{38} +(-7.00171 - 2.27500i) q^{39} +(6.23835 + 1.04066i) q^{40} +(6.33814 + 0.909921i) q^{41} +(4.24484 - 3.65284i) q^{42} +(-0.819384 + 0.417497i) q^{43} +(-3.89392 - 5.27649i) q^{44} +(-3.75183 - 17.0789i) q^{45} +(3.78321 + 3.20690i) q^{46} +(1.76309 - 5.42624i) q^{47} +(-0.195836 - 13.1561i) q^{48} +(-4.49065 + 3.26265i) q^{49} +(4.77781 - 5.21273i) q^{50} +(1.28827 + 1.77315i) q^{51} +(-3.97313 + 2.06180i) q^{52} +(1.83504 - 2.52572i) q^{53} +(-20.6833 + 8.65763i) q^{54} +(-7.31895 + 0.433510i) q^{55} +(0.229243 - 3.39728i) q^{56} +(10.4655 + 5.33244i) q^{57} +(-12.3223 + 7.61434i) q^{58} +(-3.94585 + 12.1441i) q^{59} +(-12.4502 - 7.83540i) q^{60} +(0.620962 - 0.201763i) q^{61} +(3.74221 + 2.27412i) q^{62} +(-8.95338 + 2.90913i) q^{63} +(-5.78173 - 5.52916i) q^{64} +(-0.489255 + 4.98062i) q^{65} +(3.61589 + 14.8181i) q^{66} +(-9.04522 - 6.57174i) q^{67} +(1.31772 + 0.198665i) q^{68} +(-5.23705 - 10.2783i) q^{69} +(-3.04444 - 2.28559i) q^{70} +(-0.734882 + 4.63986i) q^{71} +(-8.23569 + 20.5279i) q^{72} +(2.04839 - 2.04839i) q^{73} +(6.52463 - 4.03177i) q^{74} +(-14.9326 + 6.89334i) q^{75} +(6.77544 - 2.25736i) q^{76} +(0.617489 + 3.89867i) q^{77} +(10.3763 - 0.855494i) q^{78} +(3.29665 + 3.29665i) q^{79} +(-8.70643 + 2.04890i) q^{80} +28.6927 q^{81} +(-8.76523 + 2.27394i) q^{82} +(-7.50211 + 7.50211i) q^{83} +(-3.54292 + 7.08319i) q^{84} +(0.989387 - 1.11397i) q^{85} +(0.840943 - 0.992070i) q^{86} +(33.2767 - 5.27051i) q^{87} +(7.96102 + 4.75710i) q^{88} +(0.0119906 + 0.00610950i) q^{89} +(14.2204 + 20.2314i) q^{90} +2.69436 q^{91} +(-6.68650 - 2.11769i) q^{92} +(-5.98679 - 8.24012i) q^{93} +(0.662997 + 8.04149i) q^{94} +(2.01404 - 7.72635i) q^{95} +(7.43940 + 17.0557i) q^{96} +(9.55353 - 13.1493i) q^{97} +(4.07665 - 6.70839i) q^{98} +(4.01111 - 25.3252i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 960 q - 10 q^{2} - 20 q^{5} - 16 q^{6} + 2 q^{8} + 960 q^{9} - 60 q^{10} - 40 q^{12} - 20 q^{13} - 8 q^{14} - 28 q^{16} - 20 q^{17} - 48 q^{18} - 34 q^{20} - 40 q^{21} - 10 q^{22} - 48 q^{24} - 4 q^{25}+ \cdots - 38 q^{98}+O(q^{100}) $ 960 * q - 10 * q^2 - 20 * q^5 - 16 * q^6 + 2 * q^8 + 960 * q^9 - 60 * q^10 - 40 * q^12 - 20 * q^13 - 8 * q^14 - 28 * q^16 - 20 * q^17 - 48 * q^18 - 34 * q^20 - 40 * q^21 - 10 * q^22 - 48 * q^24 - 4 * q^25 - 20 * q^26 - 10 * q^28 - 10 * q^30 - 56 * q^33 - 20 * q^34 - 100 * q^36 + 88 * q^37 - 16 * q^40 - 24 * q^41 - 104 * q^42 - 100 * q^45 - 20 * q^46 - 40 * q^48 + 224 * q^49 - 12 * q^50 - 38 * q^52 - 20 * q^53 - 52 * q^54 + 96 * q^56 - 72 * q^57 - 38 * q^58 - 14 * q^60 - 40 * q^61 - 10 * q^62 - 120 * q^64 - 60 * q^65 - 12 * q^66 - 116 * q^68 - 104 * q^69 - 96 * q^70 - 24 * q^72 - 72 * q^73 - 28 * q^74 - 40 * q^76 - 76 * q^77 - 44 * q^78 - 90 * q^80 + 592 * q^81 - 130 * q^82 - 92 * q^84 - 64 * q^85 - 12 * q^86 - 104 * q^88 + 136 * q^89 - 364 * q^90 - 220 * q^92 - 32 * q^94 - 44 * q^96 + 80 * q^97 - 38 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/820\mathbb{Z}\right)^\times$.

$n$	$411$	$621$	$657$
$\chi(n)$	$-1$	$e\left(\frac{7}{20}\right)$	$e\left(\frac{3}{4}\right)$

Coefficient data

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

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

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

$2$	−1.30454	+	0.546054i	−0.922449	+	0.386119i
$2$	−1.30454	+	0.546054i	−0.922449	+	0.386119i
$3$	3.28938			1.89912			0.949562	−	0.313578i	$-0.101528\pi$
$3$	3.28938			1.89912			0.949562	+	0.313578i	$0.101528\pi$
$4$	1.40365	−	1.42470i	0.701825	−	0.712350i
$5$	−0.479772	−	2.18399i	−0.214560	−	0.976711i
$5$	−0.479772	−	2.18399i	−0.214560	−	0.976711i
$6$	−4.29113	+	1.79618i	−1.75185	+	0.733288i
$7$	−1.14493	+	0.372010i	−0.432743	+	0.140607i	−0.517285	−	0.855813i	$-0.673057\pi$
$7$	−1.14493	+	0.372010i	−0.432743	+	0.140607i	0.0845422	+	0.996420i	$0.473057\pi$
$8$	−1.05315	+	2.62505i	−0.372346	+	0.928094i
$9$	7.82003			2.60668
$10$	1.81846	+	2.58712i	0.575047	+	0.818120i
$11$	0.512928	−	3.23850i	0.154654	−	0.976445i	−0.781257	−	0.624209i	$-0.785421\pi$
$11$	0.512928	−	3.23850i	0.154654	−	0.976445i	0.935911	−	0.352236i	$-0.114579\pi$
$12$	4.61714	−	4.68638i	1.33285	−	1.35284i
$13$	−2.12858	−	0.691618i	−0.590362	−	0.191820i	−0.00142488	−	0.999999i	$-0.500454\pi$
$13$	−2.12858	−	0.691618i	−0.590362	−	0.191820i	−0.588937	+	0.808179i	$0.700454\pi$
$14$	1.29047	−	1.11050i	0.344892	−	0.296792i
$15$	−1.57815	−	7.18398i	−0.407477	−	1.85490i
$16$	−0.0595359	−	3.99956i	−0.0148840	−	0.999889i
$17$	0.391645	+	0.539053i	0.0949879	+	0.130740i	0.853866	−	0.520494i	$-0.174252\pi$
$17$	0.391645	+	0.539053i	0.0949879	+	0.130740i	−0.758878	+	0.651233i	$0.774252\pi$
$18$	−10.2015	+	4.27016i	−2.40453	+	1.00649i
$19$	3.18160	+	1.62111i	0.729909	+	0.371907i	0.779115	−	0.626881i	$-0.215669\pi$
$19$	3.18160	+	1.62111i	0.729909	+	0.371907i	−0.0492055	+	0.998789i	$0.515669\pi$
$20$	−3.78496	−	2.38203i	−0.846343	−	0.532638i
$21$	−3.76611	+	1.22368i	−0.821832	+	0.267029i
$22$	1.09926	+	4.50484i	0.234363	+	0.960436i
$23$	−1.59211	−	3.12469i	−0.331977	−	0.651542i	0.663328	−	0.748329i	$-0.269143\pi$
$23$	−1.59211	−	3.12469i	−0.331977	−	0.651542i	−0.995305	+	0.0967869i	$0.969143\pi$
$24$	−3.46422	+	8.63478i	−0.707132	+	1.76257i
$25$	−4.53964	+	2.09563i	−0.907928	+	0.419127i
$26$	3.15448	−	0.260077i	0.618645	−	0.0510054i
$27$	15.8549			3.05128
$28$	−1.07708	+	2.15335i	−0.203548	+	0.406945i
$29$	10.1164	−	1.60228i	1.87857	−	0.297536i	0.890912	−	0.454176i	$-0.150066\pi$
$29$	10.1164	−	1.60228i	1.87857	−	0.297536i	0.987656	+	0.156641i	$0.0500664\pi$
$30$	5.98160	+	8.51003i	1.09209	+	1.55371i
$31$	−1.82004	−	2.50507i	−0.326888	−	0.449923i	0.613666	−	0.789565i	$-0.289694\pi$
$31$	−1.82004	−	2.50507i	−0.326888	−	0.449923i	−0.940555	+	0.339642i	$0.889694\pi$
$32$	2.26164	+	5.18507i	0.399806	+	0.916600i
$33$	1.68722	−	10.6527i	0.293707	−	1.85439i
$34$	−0.805269	−	0.489357i	−0.138102	−	0.0839240i
$35$	1.36177	+	2.32204i	0.230181	+	0.392496i
$36$	10.9766	−	11.1412i	1.82943	−	1.85686i
$37$	−5.35660	+	0.848402i	−0.880620	+	0.139477i	−0.580340	−	0.814374i	$-0.697080\pi$
$37$	−5.35660	+	0.848402i	−0.880620	+	0.139477i	−0.300280	+	0.953851i	$0.597080\pi$
$38$	−5.03574	−	0.377472i	−0.816905	−	0.0612340i
$39$	−7.00171	−	2.27500i	−1.12117	−	0.364291i
$40$	6.23835	+	1.04066i	0.986370	+	0.164542i
$41$	6.33814	+	0.909921i	0.989851	+	0.142106i
$41$	6.33814	+	0.909921i	0.989851	+	0.142106i
$42$	4.24484	−	3.65284i	0.654993	−	0.563646i
$43$	−0.819384	+	0.417497i	−0.124955	+	0.0636677i	−0.515350	−	0.856980i	$-0.672338\pi$
$43$	−0.819384	+	0.417497i	−0.124955	+	0.0636677i	0.390396	+	0.920647i	$0.372338\pi$
$44$	−3.89392	−	5.27649i	−0.587031	−	0.795461i
$45$	−3.75183	−	17.0789i	−0.559289	−	2.54597i
$46$	3.78321	+	3.20690i	0.557805	+	0.472832i
$47$	1.76309	−	5.42624i	0.257173	−	0.791498i	−0.736220	−	0.676742i	$-0.763391\pi$
$47$	1.76309	−	5.42624i	0.257173	−	0.791498i	0.993394	−	0.114756i	$-0.0366087\pi$
$48$	−0.195836	−	13.1561i	−0.0282665	−	1.89891i
$49$	−4.49065	+	3.26265i	−0.641521	+	0.466092i
$50$	4.77781	−	5.21273i	0.675684	−	0.737191i
$51$	1.28827	+	1.77315i	0.180394	+	0.248291i
$52$	−3.97313	+	2.06180i	−0.550974	+	0.285920i
$53$	1.83504	−	2.52572i	0.252062	−	0.346934i	−0.664170	−	0.747582i	$-0.731215\pi$
$53$	1.83504	−	2.52572i	0.252062	−	0.346934i	0.916232	+	0.400648i	$0.131215\pi$
$54$	−20.6833	+	8.65763i	−2.81465	+	1.17815i
$55$	−7.31895	+	0.433510i	−0.986887	+	0.0584545i
$56$	0.229243	−	3.39728i	0.0306339	−	0.453980i
$57$	10.4655	+	5.33244i	1.38619	+	0.706299i
$58$	−12.3223	+	7.61434i	−1.61800	+	0.999812i
$59$	−3.94585	+	12.1441i	−0.513705	+	1.58102i	0.271920	+	0.962320i	$0.412341\pi$
$59$	−3.94585	+	12.1441i	−0.513705	+	1.58102i	−0.785625	+	0.618703i	$0.787659\pi$
$60$	−12.4502	−	7.83540i	−1.60731	−	1.01155i
$61$	0.620962	−	0.201763i	0.0795060	−	0.0258331i	−0.268994	−	0.963142i	$-0.586691\pi$
$61$	0.620962	−	0.201763i	0.0795060	−	0.0258331i	0.348500	+	0.937309i	$0.386691\pi$
$62$	3.74221	+	2.27412i	0.475262	+	0.288814i
$63$	−8.95338	+	2.90913i	−1.12802	+	0.366516i
$64$	−5.78173	−	5.52916i	−0.722717	−	0.691144i
$65$	−0.489255	+	4.98062i	−0.0606846	+	0.617770i
$66$	3.61589	+	14.8181i	0.445086	+	1.82399i
$67$	−9.04522	−	6.57174i	−1.10505	−	0.802866i	−0.123173	−	0.992385i	$-0.539307\pi$
$67$	−9.04522	−	6.57174i	−1.10505	−	0.802866i	−0.981877	+	0.189520i	$0.939307\pi$
$68$	1.31772	+	0.198665i	0.159797	+	0.0240917i
$69$	−5.23705	−	10.2783i	−0.630466	−	1.23736i
$70$	−3.04444	−	2.28559i	−0.363881	−	0.273180i
$71$	−0.734882	+	4.63986i	−0.0872144	+	0.550650i	0.904931	+	0.425559i	$0.139922\pi$
$71$	−0.734882	+	4.63986i	−0.0872144	+	0.550650i	−0.992145	+	0.125091i	$0.960078\pi$
$72$	−8.23569	+	20.5279i	−0.970586	+	2.41924i
$73$	2.04839	−	2.04839i	0.239746	−	0.239746i	−0.576999	−	0.816745i	$-0.695776\pi$
$73$	2.04839	−	2.04839i	0.239746	−	0.239746i	0.816745	+	0.576999i	$0.195776\pi$
$74$	6.52463	−	4.03177i	0.758473	−	0.468684i
$75$	−14.9326	+	6.89334i	−1.72427	+	0.795974i
$76$	6.77544	−	2.25736i	0.777197	−	0.258937i
$77$	0.617489	+	3.89867i	0.0703694	+	0.444295i
$78$	10.3763	−	0.855494i	1.17488	−	0.0968656i
$79$	3.29665	+	3.29665i	0.370902	+	0.370902i	0.867806	−	0.496903i	$-0.165530\pi$
$79$	3.29665	+	3.29665i	0.370902	+	0.370902i	−0.496903	+	0.867806i	$0.665530\pi$
$80$	−8.70643	+	2.04890i	−0.973409	+	0.229074i
$81$	28.6927			3.18808
$82$	−8.76523	+	2.27394i	−0.967957	+	0.251115i
$83$	−7.50211	+	7.50211i	−0.823464	+	0.823464i	−0.986603	−	0.163139i	$-0.947838\pi$
$83$	−7.50211	+	7.50211i	−0.823464	+	0.823464i	0.163139	+	0.986603i	$0.447838\pi$
$84$	−3.54292	+	7.08319i	−0.386564	+	0.772840i
$85$	0.989387	−	1.11397i	0.107314	−	0.120827i
$86$	0.840943	−	0.992070i	0.0906813	−	0.106978i
$87$	33.2767	−	5.27051i	3.56763	−	0.565058i
$88$	7.96102	+	4.75710i	0.848648	+	0.507109i
$89$	0.0119906	+	0.00610950i	0.00127100	+	0.000647605i	0.454626	−	0.890682i	$-0.349773\pi$
$89$	0.0119906	+	0.00610950i	0.00127100	+	0.000647605i	−0.453355	+	0.891330i	$0.649773\pi$
$90$	14.2204	+	20.2314i	1.49896	+	2.13257i
$91$	2.69436			0.282446
$92$	−6.68650	−	2.11769i	−0.697115	−	0.220784i
$93$	−5.98679	−	8.24012i	−0.620802	−	0.854460i
$94$	0.662997	+	8.04149i	0.0683829	+	0.829416i
$95$	2.01404	−	7.72635i	0.206636	−	0.792707i
$96$	7.43940	+	17.0557i	0.759281	+	1.74074i
$97$	9.55353	−	13.1493i	0.970014	−	1.33511i	0.0279747	−	0.999609i	$-0.491094\pi$
$97$	9.55353	−	13.1493i	0.970014	−	1.33511i	0.942040	−	0.335502i	$-0.108906\pi$
$98$	4.07665	−	6.70839i	0.411804	−	0.677650i
$99$	4.01111	−	25.3252i	0.403132	−	2.54528i
$100$	−3.38641	+	9.40916i	−0.338641	+	0.940916i
$101$	−3.00023	−	1.52870i	−0.298534	−	0.152111i	0.298307	−	0.954470i	$-0.403578\pi$
$101$	−3.00023	−	1.52870i	−0.298534	−	0.152111i	−0.596842	+	0.802359i	$0.703578\pi$
$102$	−2.64884	−	1.60968i	−0.262274	−	0.159382i
$103$	−7.90780	+	15.5199i	−0.779178	+	1.52922i	0.0678617	+	0.997695i	$0.478382\pi$
$103$	−7.90780	+	15.5199i	−0.779178	+	1.52922i	−0.847040	+	0.531529i	$0.821618\pi$
$104$	4.05725	−	4.85924i	0.397846	−	0.476488i
$105$	4.47938	+	7.63806i	0.437143	+	0.745398i
$106$	−1.01471	+	4.29693i	−0.0985570	+	0.417355i
$107$	−6.51491	+	12.7862i	−0.629821	+	1.23609i	0.326893	+	0.945061i	$0.393998\pi$
$107$	−6.51491	+	12.7862i	−0.629821	+	1.23609i	−0.956714	+	0.291031i	$0.906002\pi$
$108$	22.2547	−	22.5885i	2.14146	−	2.17358i
$109$	1.30643	+	1.30643i	0.125133	+	0.125133i	0.766900	−	0.641767i	$-0.221798\pi$
$109$	1.30643	+	1.30643i	0.125133	+	0.125133i	−0.641767	+	0.766900i	$0.721798\pi$
$110$	9.31114	−	4.56208i	0.887783	−	0.434977i
$111$	−17.6199	+	2.79072i	−1.67241	+	0.264883i
$112$	1.55604	+	4.55706i	0.147032	+	0.430602i
$113$	13.1496	+	2.08269i	1.23701	+	0.195923i	0.740470	−	0.672090i	$-0.234603\pi$
$113$	13.1496	+	2.08269i	1.23701	+	0.195923i	0.496541	+	0.868013i	$0.334603\pi$
$114$	−16.5645	−	1.24165i	−1.55140	−	0.116291i
$115$	−6.06044	+	4.97628i	−0.565139	+	0.464041i
$116$	11.9171	−	16.6619i	1.10648	−	1.54701i
$117$	−16.6456	−	5.40847i	−1.53888	−	0.500013i
$118$	−1.48380	−	17.9971i	−0.136595	−	1.65676i
$119$	−0.648939	−	0.471482i	−0.0594881	−	0.0432207i
$120$	20.5203	+	3.42312i	1.87324	+	0.312486i
$121$	0.236821	+	0.0769480i	0.0215292	+	0.00699527i
$122$	−0.699896	+	0.602286i	−0.0633656	+	0.0545284i
$123$	20.8486	+	2.99308i	1.87985	+	0.269877i
$124$	−6.12366	−	0.923230i	−0.549921	−	0.0829085i
$125$	6.75484	+	8.90911i	0.604171	+	0.796855i
$126$	10.0915	−	8.68410i	0.899022	−	0.773641i
$127$	2.93916	+	18.5571i	0.260808	+	1.64668i	0.675968	+	0.736931i	$0.263726\pi$
$127$	2.93916	+	18.5571i	0.260808	+	1.64668i	−0.415160	+	0.909749i	$0.636274\pi$
$128$	10.5617	+	4.05587i	0.933533	+	0.358491i
$129$	−2.69527	+	1.37331i	−0.237305	+	0.120913i
$130$	−2.08144	−	6.76458i	−0.182554	−	0.593293i
$131$	12.1521	−	8.82905i	1.06174	−	0.771397i	0.0873282	−	0.996180i	$-0.472167\pi$
$131$	12.1521	−	8.82905i	1.06174	−	0.771397i	0.974409	+	0.224782i	$0.0721671\pi$
$132$	−12.8086	−	17.3564i	−1.11484	−	1.51068i
$133$	−4.24578	−	0.672465i	−0.368155	−	0.0583101i
$134$	15.3884	+	3.63391i	1.32935	+	0.313922i
$135$	−7.60673	−	34.6270i	−0.654683	−	2.98021i
$136$	−1.82750	+	0.460380i	−0.156707	+	0.0394773i
$137$		−	5.76817i		−	0.492808i	−0.969167	−	0.246404i	$-0.920751\pi$
$137$		−	5.76817i		−	0.492808i	0.969167	−	0.246404i	$-0.0792489\pi$
$138$	12.4444	+	10.5487i	1.05934	+	0.897966i
$139$	4.78897	+	14.7389i	0.406195	+	1.25014i	0.919893	+	0.392169i	$0.128275\pi$
$139$	4.78897	+	14.7389i	0.406195	+	1.25014i	−0.513698	+	0.857971i	$0.671725\pi$
$140$	5.21965	+	1.31921i	0.441141	+	0.111494i
$141$	5.79948	−	17.8490i	0.488404	−	1.50315i
$142$	−1.57493	−	6.45417i	−0.132165	−	0.541622i
$143$	−3.33162	+	6.53867i	−0.278604	+	0.546791i
$144$	−0.465572	−	31.2766i	−0.0387977	−	2.60639i
$145$	−8.35292	−	21.3254i	−0.693673	−	1.77098i
$146$	−1.55368	+	3.79074i	−0.128583	+	0.313724i
$147$	−14.7714	+	10.7321i	−1.21833	+	0.885168i
$148$	−6.31007	+	8.82241i	−0.518685	+	0.725197i
$149$	1.71620	+	10.8356i	0.140596	+	0.887691i	0.952641	+	0.304096i	$0.0983543\pi$
$149$	1.71620	+	10.8356i	0.140596	+	0.887691i	−0.812045	+	0.583595i	$0.801646\pi$
$150$	15.7160	−	17.1466i	1.28321	−	1.40002i
$151$	−7.66317	−	15.0398i	−0.623620	−	1.22392i	−0.959418	−	0.281989i	$-0.909006\pi$
$151$	−7.66317	−	15.0398i	−0.623620	−	1.22392i	0.335797	−	0.941934i	$-0.390994\pi$
$152$	−7.60620	+	6.64457i	−0.616944	+	0.538946i
$153$	3.06267	+	4.21541i	0.247603	+	0.340796i
$154$	−2.93442	−	4.74879i	−0.236463	−	0.382668i
$155$	−4.59784	+	5.17681i	−0.369307	+	0.415811i
$156$	−13.0691	+	6.78204i	−1.04637	+	0.542998i
$157$	5.52386	+	17.0007i	0.440852	+	1.35680i	0.886969	+	0.461829i	$0.152807\pi$
$157$	5.52386	+	17.0007i	0.440852	+	1.35680i	−0.446117	+	0.894975i	$0.647193\pi$
$158$	−6.10077	−	2.50046i	−0.485351	−	0.198926i
$159$	6.03615	−	8.30805i	0.478698	−	0.658871i
$160$	10.2391	−	7.42706i	0.809471	−	0.587160i
$161$	2.98526	+	2.98526i	0.235272	+	0.235272i
$162$	−37.4308	+	15.6678i	−2.94084	+	1.23098i
$163$	−8.22960	+	8.22960i	−0.644592	+	0.644592i	−0.951681	−	0.307089i	$-0.900645\pi$
$163$	−8.22960	+	8.22960i	−0.644592	+	0.644592i	0.307089	+	0.951681i	$0.400645\pi$
$164$	10.1929	−	7.75274i	0.795931	−	0.605387i
$165$	−24.0748	+	1.42598i	−1.87422	+	0.111012i
$166$	5.69025	−	13.8834i	0.441649	−	1.07756i
$167$			11.3541i			0.878609i	0.898338	+	0.439304i	$0.144775\pi$
$167$			11.3541i			0.878609i	−0.898338	+	0.439304i	$0.855225\pi$
$168$	0.754069	−	11.1749i	0.0581777	−	0.862165i
$169$	−6.46470	−	4.69688i	−0.497284	−	0.361298i
$170$	−0.682406	+	1.99348i	−0.0523382	+	0.152893i
$171$	24.8802	+	12.6771i	1.90264	+	0.969442i
$172$	−0.555320	+	1.75340i	−0.0423428	+	0.133695i
$173$	1.03076	−	1.03076i	0.0783670	−	0.0783670i	−0.666837	−	0.745204i	$-0.732352\pi$
$173$	1.03076	−	1.03076i	0.0783670	−	0.0783670i	0.745204	+	0.666837i	$0.232352\pi$
$174$	−40.5328	+	25.0465i	−3.07278	+	1.89877i
$175$	4.41797	−	4.08814i	0.333967	−	0.309035i
$176$	−12.9831	−	1.85868i	−0.978639	−	0.140103i
$177$	−12.9794	+	39.9465i	−0.975591	+	3.00256i
$178$	−0.0189783	−	0.00142259i	−0.00142248	−	0.000106627i
$179$	21.7885	−	3.45096i	1.62855	−	0.257937i	0.725737	−	0.687973i	$-0.241499\pi$
$179$	21.7885	−	3.45096i	1.62855	−	0.257937i	0.902812	+	0.430036i	$0.141499\pi$
$180$	−29.5985	−	18.6275i	−2.20614	−	1.38841i
$181$	−2.33600	+	14.7489i	−0.173633	+	1.09628i	0.734811	+	0.678271i	$0.237271\pi$
$181$	−2.33600	+	14.7489i	−0.173633	+	1.09628i	−0.908445	+	0.418005i	$0.862729\pi$
$182$	−3.51491	+	1.47127i	−0.260542	+	0.109058i
$183$	2.04258	−	0.663674i	0.150992	−	0.0490602i
$184$	9.87918	−	0.888578i	0.728303	−	0.0655069i
$185$	4.42285	+	11.2917i	0.325174	+	0.830185i
$186$	12.3096	+	7.48045i	0.902581	+	0.548493i
$187$	1.94661	−	0.991848i	0.142350	−	0.0725311i
$188$	−5.25600	−	10.1284i	−0.383333	−	0.738690i
$189$	−18.1527	+	5.89818i	−1.32042	+	0.429030i
$190$	1.59161	+	11.1791i	0.115467	+	0.811018i
$191$	−8.51456	−	8.51456i	−0.616092	−	0.616092i	0.328435	−	0.944527i	$-0.393479\pi$
$191$	−8.51456	−	8.51456i	−0.616092	−	0.616092i	−0.944527	+	0.328435i	$0.893479\pi$
$192$	−19.0183	−	18.1875i	−1.37253	−	1.31257i
$193$	−13.5424	+	18.6395i	−0.974803	+	1.34170i	−0.0352197	+	0.999380i	$0.511213\pi$
$193$	−13.5424	+	18.6395i	−0.974803	+	1.34170i	−0.939583	+	0.342321i	$0.888787\pi$
$194$	−5.28273	+	22.3706i	−0.379278	+	1.60611i
$195$	−1.60935	+	16.3832i	−0.115248	+	1.17322i
$196$	−1.65501	+	10.9774i	−0.118215	+	0.784102i
$197$	−10.9839	−	1.73968i	−0.782572	−	0.123947i	−0.247651	−	0.968849i	$-0.579659\pi$
$197$	−10.9839	−	1.73968i	−0.782572	−	0.123947i	−0.534921	+	0.844902i	$0.679659\pi$
$198$	8.59626	+	35.2280i	0.610909	+	2.50354i
$199$	0.871702	+	1.71081i	0.0617933	+	0.121276i	0.919837	−	0.392300i	$-0.128320\pi$
$199$	0.871702	+	1.71081i	0.0617933	+	0.121276i	−0.858044	+	0.513576i	$0.828320\pi$
$200$	−0.720199	−	14.1238i	−0.0509257	−	0.998702i
$201$	−29.7532	−	21.6169i	−2.09863	−	1.52474i
$202$	4.74868	+	0.355954i	0.334116	+	0.0250448i
$203$	−10.9865	+	5.59790i	−0.771101	+	0.392895i
$204$	4.33449	+	0.653486i	0.303475	+	0.0457532i
$205$	−1.05360	−	14.2790i	−0.0735867	−	0.997289i
$206$	1.84132	−	24.5645i	0.128291	−	1.71149i
$207$	−12.4503	−	24.4351i	−0.865357	−	1.69836i
$208$	−2.63944	+	8.55456i	−0.183012	+	0.593152i
$209$	6.88189	−	9.47211i	0.476030	−	0.655200i
$210$	−10.0143	−	7.51817i	−0.691055	−	0.518803i
$211$	−12.5686	+	6.40402i	−0.865259	+	0.440871i	−0.829512	−	0.558490i	$-0.811381\pi$
$211$	−12.5686	+	6.40402i	−0.865259	+	0.440871i	−0.0357471	+	0.999361i	$0.511381\pi$
$212$	−1.02263	−	6.15961i	−0.0702348	−	0.423044i
$213$	−2.41731	+	15.2623i	−0.165631	+	1.04575i
$214$	1.51699	−	20.2377i	0.103699	−	1.38342i
$215$	1.30493	+	1.58922i	0.0889953	+	0.108384i
$216$	−16.6976	+	41.6198i	−1.13613	+	2.83187i
$217$	3.01572	+	2.19105i	0.204721	+	0.148738i
$218$	−2.41767	−	0.990906i	−0.163745	−	0.0671127i
$219$	6.73794	−	6.73794i	0.455308	−	0.455308i
$220$	−9.65562	+	11.0358i	−0.650982	+	0.744033i
$221$	−0.460829	−	1.41829i	−0.0309987	−	0.0954043i
$222$	21.4620	−	13.2620i	1.44043	−	0.890089i
$223$	8.19188	+	16.0775i	0.548569	+	1.07663i	0.984292	+	0.176546i	$0.0564925\pi$
$223$	8.19188	+	16.0775i	0.548569	+	1.07663i	−0.435724	+	0.900080i	$0.643508\pi$
$224$	−4.51832	−	5.09519i	−0.301893	−	0.340437i
$225$	−35.5001	+	16.3879i	−2.36667	+	1.09253i
$226$	−18.2915	+	4.46344i	−1.21673	+	0.296904i
$227$	−4.79454	−	14.7561i	−0.318225	−	0.979396i	−0.974407	−	0.224793i	$-0.927829\pi$
$227$	−4.79454	−	14.7561i	−0.318225	−	0.979396i	0.656181	−	0.754603i	$-0.272171\pi$
$228$	22.2870	−	7.42531i	1.47599	−	0.491753i
$229$	−13.0361	−	2.06472i	−0.861450	−	0.136440i	−0.289949	−	0.957042i	$-0.593638\pi$
$229$	−13.0361	−	2.06472i	−0.861450	−	0.136440i	−0.571500	+	0.820602i	$0.693638\pi$
$230$	5.18876	−	9.80109i	0.342137	−	0.646265i
$231$	2.03116	+	12.8242i	0.133640	+	0.843771i
$232$	−6.44806	+	28.2435i	−0.423336	+	1.85427i
$233$	13.2236	+	4.29660i	0.866305	+	0.281479i	0.708259	−	0.705952i	$-0.249481\pi$
$233$	13.2236	+	4.29660i	0.866305	+	0.281479i	0.158045	+	0.987432i	$0.449481\pi$
$234$	24.6681	−	2.03381i	1.61261	−	0.132954i
$235$	−12.6967	−	1.24722i	−0.828244	−	0.0813598i
$236$	11.7631	+	22.6677i	0.765710	+	1.47554i
$237$	10.8439	+	10.8439i	0.704390	+	0.704390i
$238$	1.10402	+	0.260711i	0.0715631	+	0.0168994i
$239$	−0.472376	+	0.927089i	−0.0305554	+	0.0599684i	−0.905780	−	0.423749i	$-0.860714\pi$
$239$	−0.472376	+	0.927089i	−0.0305554	+	0.0599684i	0.875224	+	0.483718i	$0.160714\pi$
$240$	−28.6388	+	6.73961i	−1.84863	+	0.435040i
$241$	11.9281	−	16.4176i	0.768357	−	1.05755i	−0.228115	−	0.973634i	$-0.573256\pi$
$241$	11.9281	−	16.4176i	0.768357	−	1.05755i	0.996473	−	0.0839189i	$-0.0267437\pi$
$242$	−0.350961	+	0.0289357i	−0.0225606	+	0.00186006i
$243$	46.8166			3.00329
$244$	0.584161	−	1.16789i	0.0373971	−	0.0747663i
$245$	9.28008	+	8.24221i	0.592882	+	0.526576i
$246$	−28.8322	+	7.47986i	−1.83827	+	0.476898i
$247$	−5.65111	−	5.65111i	−0.359572	−	0.359572i
$248$	8.49269	−	2.13946i	0.539287	−	0.135856i
$249$	−24.6773	+	24.6773i	−1.56386	+	1.56386i
$250$	−13.6768	−	7.93378i	−0.864998	−	0.501776i
$251$	−23.1444	−	16.8154i	−1.46086	−	1.06138i	−0.983138	−	0.182866i	$-0.941463\pi$
$251$	−23.1444	−	16.8154i	−1.46086	−	1.06138i	−0.477722	−	0.878511i	$-0.658537\pi$
$252$	−8.42277	+	16.8393i	−0.530585	+	1.06077i
$253$	−10.9359	+	3.55330i	−0.687536	+	0.223394i
$254$	−13.9675	−	22.6036i	−0.876396	−	1.41828i
$255$	3.25447	−	3.66428i	0.203803	−	0.229466i
$256$	−15.9929	+	0.476234i	−0.999557	+	0.0297646i
$257$	10.2376	−	7.43807i	0.638606	−	0.463974i	−0.220765	−	0.975327i	$-0.570855\pi$
$257$	10.2376	−	7.43807i	0.638606	−	0.463974i	0.859371	+	0.511353i	$0.170855\pi$
$258$	2.76618	−	3.26330i	0.172215	−	0.203164i
$259$	5.81732	−	2.96407i	0.361470	−	0.184178i
$260$	6.40915	+	7.68809i	0.397478	+	0.476795i
$261$	79.1105	−	12.5299i	4.89681	−	0.775579i
$262$	−11.0318	+	18.1536i	−0.681548	+	1.12153i
$263$	−14.2643	−	19.6331i	−0.879574	−	1.21063i	−0.976539	−	0.215342i	$-0.930913\pi$
$263$	−14.2643	−	19.6331i	−0.879574	−	1.21063i	0.0969642	−	0.995288i	$-0.469087\pi$
$264$	26.1868	+	15.6479i	1.61169	+	0.963063i
$265$	−6.39655	−	2.79595i	−0.392937	−	0.171754i
$266$	5.90599	−	1.44117i	0.362119	−	0.0883636i
$267$	0.0394415	+	0.0200965i	0.00241378	+	0.00122988i
$268$	−22.0591	+	3.66230i	−1.34747	+	0.223711i
$269$	−0.666358	−	0.216513i	−0.0406285	−	0.0132010i	0.288632	−	0.957440i	$-0.406800\pi$
$269$	−0.666358	−	0.216513i	−0.0406285	−	0.0132010i	−0.329261	+	0.944239i	$0.606800\pi$
$270$	28.8315	+	41.0186i	1.75463	+	2.49631i
$271$	−12.1838	+	3.95877i	−0.740116	+	0.240478i	−0.654723	−	0.755869i	$-0.727215\pi$
$271$	−12.1838	+	3.95877i	−0.740116	+	0.240478i	−0.0853930	+	0.996347i	$0.527215\pi$
$272$	2.13266	−	1.59850i	0.129311	−	0.0969233i
$273$	8.86279			0.536400
$274$	3.14973	+	7.52480i	0.190282	+	0.454590i
$275$	4.45821	+	15.7765i	0.268840	+	0.951361i
$276$	−21.9944	−	6.96589i	−1.32391	−	0.419297i
$277$	2.63386	−	16.6295i	0.158253	−	0.999172i	−0.772896	−	0.634533i	$-0.781193\pi$
$277$	2.63386	−	16.6295i	0.158253	−	0.999172i	0.931149	−	0.364639i	$-0.118807\pi$
$278$	−14.2957	−	16.6125i	−0.857396	−	0.996351i
$279$	−14.2327	−	19.5897i	−0.852092	−	1.17280i
$280$	−7.52961	+	1.12925i	−0.449980	+	0.0674857i
$281$	−6.57910	−	12.9122i	−0.392476	−	0.770278i	0.607230	−	0.794526i	$-0.292281\pi$
$281$	−6.57910	−	12.9122i	−0.392476	−	0.770278i	−0.999706	+	0.0242485i	$0.992281\pi$
$282$	2.18085	+	26.4515i	0.129868	+	1.57517i
$283$	−11.9570	+	1.89380i	−0.710767	+	0.112575i	−0.501341	−	0.865250i	$-0.667160\pi$
$283$	−11.9570	+	1.89380i	−0.710767	+	0.112575i	−0.209427	+	0.977824i	$0.567160\pi$
$284$	5.57889	+	7.55973i	0.331046	+	0.448587i
$285$	6.62495	−	25.4149i	0.392428	−	1.50545i
$286$	0.775761	−	10.3492i	0.0458717	−	0.611961i
$287$	−7.59522	+	1.31606i	−0.448332	+	0.0776844i
$288$	17.6861	+	40.5474i	1.04216	+	2.38928i
$289$	5.11610	−	15.7457i	0.300947	−	0.926219i
$290$	22.5415	+	23.2587i	1.32369	+	1.36580i
$291$	31.4252	−	43.2531i	1.84218	−	2.53554i
$292$	−0.0431180	−	5.79357i	−0.00252329	−	0.339043i
$293$	0.0349019	−	0.107417i	0.00203899	−	0.00627537i	−0.950032	−	0.312153i	$-0.898950\pi$
$293$	0.0349019	−	0.107417i	0.00203899	−	0.00627537i	0.952071	+	0.305878i	$0.0989498\pi$
$294$	13.4096	−	22.0664i	0.782066	−	1.28694i
$295$	28.4156	+	2.79132i	1.65442	+	0.162517i
$296$	3.41423	−	14.9548i	0.198448	−	0.869232i
$297$	8.13243	−	51.3461i	0.471891	−	2.97940i
$298$	−8.15570	−	13.1984i	−0.472447	−	0.764563i
$299$	1.22784	+	7.75228i	0.0710078	+	0.448326i
$300$	−11.1392	+	30.9503i	−0.643122	+	1.78692i
$301$	0.782824	−	0.782824i	0.0451212	−	0.0451212i
$302$	18.2095	+	15.4355i	1.04784	+	0.888216i
$303$	−9.86891	−	5.02846i	−0.566954	−	0.288878i
$304$	6.29429	−	12.8215i	0.361002	−	0.735364i
$305$	−0.738568	−	1.25937i	−0.0422903	−	0.0721116i
$306$	−6.29722	−	3.82678i	−0.359988	−	0.218763i
$307$	11.3136	+	5.76456i	0.645700	+	0.329001i	0.745990	−	0.665958i	$-0.231977\pi$
$307$	11.3136	+	5.76456i	0.645700	+	0.329001i	−0.100289	+	0.994958i	$0.531977\pi$
$308$	6.42117	+	4.59263i	0.365880	+	0.261689i
$309$	−26.0118	+	51.0509i	−1.47976	+	2.90419i
$310$	3.17125	−	9.26402i	0.180115	−	0.526161i
$311$	19.0139	+	3.01151i	1.07818	+	0.170767i	0.670168	−	0.742209i	$-0.266222\pi$
$311$	19.0139	+	3.01151i	1.07818	+	0.170767i	0.408012	+	0.912976i	$0.366222\pi$
$312$	13.3459	−	15.9839i	0.755560	−	0.904910i
$313$	−5.36402	−	3.89719i	−0.303192	−	0.220282i	0.425778	−	0.904828i	$-0.360001\pi$
$313$	−5.36402	−	3.89719i	−0.303192	−	0.220282i	−0.728970	+	0.684546i	$0.760001\pi$
$314$	−16.4894	−	19.1618i	−0.930551	−	1.08136i
$315$	10.6491	+	18.1584i	0.600008	+	1.02311i
$316$	9.32408	−	0.0693935i	0.524521	−	0.00390369i
$317$	3.82261	−	2.77729i	0.214699	−	0.155988i	−0.475238	−	0.879857i	$-0.657638\pi$
$317$	3.82261	−	2.77729i	0.214699	−	0.155988i	0.689937	+	0.723869i	$0.257638\pi$
$318$	−3.33776	+	14.1343i	−0.187172	+	0.792610i
$319$		−	33.5838i		−	1.88033i
$320$	−9.30172	+	15.2800i	−0.519982	+	0.854177i
$321$	−21.4300	+	42.0588i	−1.19611	+	2.34749i
$322$	−5.52451	−	2.26428i	−0.307869	−	0.126183i
$323$	0.372196	+	2.34995i	0.0207095	+	0.130755i
$324$	40.2745	−	40.8785i	2.23747	−	2.27103i
$325$	11.1124	−	1.32103i	0.616403	−	0.0732777i
$326$	6.24203	−	15.2296i	0.345714	−	0.843492i
$327$	4.29734	+	4.29734i	0.237643	+	0.237643i
$328$	−9.06362	+	15.6796i	−0.500455	+	0.865763i
$329$			6.86855i			0.378675i
$330$	30.6279	−	15.0064i	1.68601	−	0.826075i
$331$	−2.44851	+	2.44851i	−0.134582	+	0.134582i	−0.771189	−	0.636607i	$-0.780338\pi$
$331$	−2.44851	+	2.44851i	−0.134582	+	0.134582i	0.636607	+	0.771189i	$0.280338\pi$
$332$	0.157917	+	21.2186i	0.00866683	+	1.16452i
$333$	−41.8888	+	6.63453i	−2.29549	+	0.363570i
$334$	−6.19997	−	14.8119i	−0.339247	−	0.810472i
$335$	−10.0130	+	22.9076i	−0.547068	+	1.25158i
$336$	5.11841	+	14.9899i	0.279232	+	0.817767i
$337$	0.0591917	+	0.0591917i	0.00322438	+	0.00322438i	0.708717	−	0.705493i	$-0.249274\pi$
$337$	0.0591917	+	0.0591917i	0.00322438	+	0.00322438i	−0.705493	+	0.708717i	$0.749274\pi$
$338$	10.9982	+	2.59719i	0.598224	+	0.141268i
$339$	43.2541	+	6.85077i	2.34924	+	0.372083i
$340$	−0.198322	−	2.97321i	−0.0107555	−	0.161245i
$341$	−9.04621	+	4.60927i	−0.489880	+	0.249606i
$342$	−39.3796	−	2.95184i	−2.12940	−	0.159617i
$343$	8.88097	−	12.2236i	0.479527	−	0.660013i
$344$	−0.233011	−	2.59061i	−0.0125631	−	0.139676i
$345$	−19.9351	+	16.3689i	−1.07327	+	0.881271i
$346$	−0.781815	+	1.90751i	−0.0420306	+	0.102549i
$347$	−1.09477	−	3.36935i	−0.0587702	−	0.180876i	0.917362	−	0.398055i	$-0.130315\pi$
$347$	−1.09477	−	3.36935i	−0.0587702	−	0.180876i	−0.976132	+	0.217179i	$0.930315\pi$
$348$	39.1999	−	54.8072i	2.10134	−	2.93797i
$349$	−5.95153	−	18.3169i	−0.318578	−	0.980483i	−0.974256	−	0.225443i	$-0.927617\pi$
$349$	−5.95153	−	18.3169i	−0.318578	−	0.980483i	0.655678	−	0.755041i	$-0.272383\pi$
$350$	−3.53107	+	7.74560i	−0.188743	+	0.414020i
$351$	−33.7484	−	10.9655i	−1.80136	−	0.585297i
$352$	17.9519	−	4.66476i	0.956841	−	0.248633i
$353$	−0.223762	+	0.439158i	−0.0119097	+	0.0233740i	−0.896885	−	0.442264i	$-0.854175\pi$
$353$	−0.223762	+	0.439158i	−0.0119097	+	0.0233740i	0.884975	+	0.465638i	$0.154175\pi$
$354$	−4.88080	−	59.1992i	−0.259411	−	3.14640i
$355$	10.4860	−	0.621098i	0.556539	−	0.0329645i
$356$	0.0255347	−	0.00850735i	0.00135334	−	0.000450889i
$357$	−2.13461	−	1.55088i	−0.112975	−	0.0820814i
$358$	−26.5395	+	16.3996i	−1.40266	+	0.866746i
$359$	−26.7732	+	19.4519i	−1.41304	+	1.02663i	−0.420164	+	0.907448i	$0.638027\pi$
$359$	−26.7732	+	19.4519i	−1.41304	+	1.02663i	−0.992872	+	0.119183i	$0.961973\pi$
$360$	48.7841	+	8.13796i	2.57115	+	0.428908i
$361$	−3.67332	−	5.05589i	−0.193333	−	0.266100i
$362$	−5.00630	−	20.5161i	−0.263125	−	1.07830i
$363$	0.778996	+	0.253111i	0.0408867	+	0.0132849i
$364$	3.78194	−	3.83866i	0.198228	−	0.201200i
$365$	−5.45643	−	3.49091i	−0.285603	−	0.182723i
$366$	−2.30222	+	1.98115i	−0.120339	+	0.103556i
$367$	−8.44671	−	16.5776i	−0.440915	−	0.865344i	−0.999359	−	0.0358019i	$-0.988601\pi$
$367$	−8.44671	−	16.5776i	−0.440915	−	0.865344i	0.558444	−	0.829542i	$-0.311399\pi$
$368$	−12.4026	+	6.55375i	−0.646529	+	0.341638i
$369$	49.5644	+	7.11561i	2.58022	+	0.370424i
$370$	−11.9357	−	12.3154i	−0.620507	−	0.640247i
$371$	−1.16140	+	3.57442i	−0.0602969	+	0.185575i
$372$	−20.1430	−	3.03685i	−1.04437	−	0.157454i
$373$	5.33316	+	33.6723i	0.276141	+	1.74348i	0.602392	+	0.798201i	$0.294215\pi$
$373$	5.33316	+	33.6723i	0.276141	+	1.74348i	−0.326251	+	0.945283i	$0.605785\pi$
$374$	−1.99783	+	2.35686i	−0.103305	+	0.121870i
$375$	22.2192	+	29.3054i	1.14740	+	1.51333i
$376$	12.3873	+	10.3429i	0.638827	+	0.533392i
$377$	−22.6417	−	3.58610i	−1.16611	−	0.184693i
$378$	20.4602	−	17.6068i	1.05236	−	0.905596i
$379$	−29.8298	+	21.6726i	−1.53226	+	1.11325i	−0.577287	+	0.816541i	$0.695889\pi$
$379$	−29.8298	+	21.6726i	−1.53226	+	1.11325i	−0.954969	+	0.296707i	$0.904111\pi$
$380$	−8.18072	−	13.7145i	−0.419662	−	0.703539i
$381$	9.66802	+	61.0415i	0.495308	+	3.12725i
$382$	15.7570	+	6.45817i	0.806198	+	0.330429i
$383$		−	21.1431i		−	1.08036i	−0.841549	−	0.540181i	$-0.818356\pi$
$383$		−	21.1431i		−	1.08036i	0.841549	−	0.540181i	$-0.181644\pi$
$384$	34.7415	+	13.3413i	1.77290	+	0.680820i
$385$	8.21841	−	3.21906i	0.418849	−	0.164059i
$386$	7.48841	−	31.7109i	0.381150	−	1.61404i
$387$	−6.40761	+	3.26484i	−0.325717	+	0.165961i
$388$	−5.32400	−	32.0679i	−0.270285	−	1.62800i
$389$	6.46871	+	19.9086i	0.327977	+	1.00941i	0.970079	+	0.242789i	$0.0780624\pi$
$389$	6.46871	+	19.9086i	0.327977	+	1.00941i	−0.642102	+	0.766619i	$0.721938\pi$
$390$	−6.84664	−	22.2513i	−0.346693	−	1.12674i
$391$	1.06083	−	2.08200i	0.0536485	−	0.105291i
$392$	−3.83525	−	15.2242i	−0.193710	−	0.768939i
$393$	39.9730	−	29.0421i	2.01637	−	1.46498i
$394$	15.2789	−	3.72833i	0.769741	−	0.187831i
$395$	5.61822	−	8.78150i	0.282683	−	0.441845i
$396$	−30.4506	−	41.2623i	−1.53020	−	2.07351i
$397$	2.85730	−	8.79386i	0.143404	−	0.441351i	−0.853399	−	0.521259i	$-0.825463\pi$
$397$	2.85730	−	8.79386i	0.143404	−	0.441351i	0.996802	+	0.0799076i	$0.0254625\pi$
$398$	−2.07137	−	1.75583i	−0.103828	−	0.0880116i
$399$	−13.9660	−	2.21199i	−0.699173	−	0.110738i
$400$	8.65188	+	18.0318i	0.432594	+	0.901589i
$401$			29.3822i			1.46728i	0.679539	+	0.733639i	$0.262180\pi$
$401$			29.3822i			1.46728i	−0.679539	+	0.733639i	$0.737820\pi$
$402$	50.6182	+	11.9533i	2.52461	+	0.596178i
$403$	2.14155	+	6.59101i	0.106678	+	0.328321i
$404$	−6.38921	+	2.12868i	−0.317875	+	0.105906i
$405$	−13.7660	−	62.6647i	−0.684036	−	3.11383i
$406$	11.2756	−	13.3019i	0.559597	−	0.660162i
$407$			17.7825i			0.881448i
$408$	−6.01135	+	1.51437i	−0.297606	+	0.0749723i
$409$		−	2.55811i		−	0.126490i	−0.997998	−	0.0632451i	$-0.979855\pi$
$409$		−	2.55811i		−	0.126490i	0.997998	−	0.0632451i	$-0.0201450\pi$
$410$	9.17157	+	18.0522i	0.452952	+	0.891535i
$411$		−	18.9737i		−	0.935903i
$412$	11.0115	+	33.0508i	0.542495	+	1.62829i
$413$		−	15.3720i		−	0.756406i
$414$	29.5848	+	25.0780i	1.45402	+	1.23252i
$415$	19.9839	+	12.7853i	0.980969	+	0.627603i
$416$	−1.22800	−	12.6010i	−0.0602076	−	0.617817i
$417$	15.7527	+	48.4819i	0.771415	+	2.37417i
$418$	−3.80542	+	16.1146i	−0.186129	+	0.788192i
$419$		−	21.9886i		−	1.07421i	−0.843515	−	0.537106i	$-0.819517\pi$
$419$		−	21.9886i		−	1.07421i	0.843515	−	0.537106i	$-0.180483\pi$
$420$	17.1694	+	4.33938i	0.837782	+	0.211740i
$421$	11.2644	+	1.78411i	0.548993	+	0.0869520i	0.424768	−	0.905302i	$-0.360356\pi$
$421$	11.2644	+	1.78411i	0.548993	+	0.0869520i	0.124225	+	0.992254i	$0.460356\pi$
$422$	12.8993	−	15.2174i	0.627928	−	0.740774i
$423$	13.7874	−	42.4333i	0.670367	−	2.06318i
$424$	4.69755	+	7.47704i	0.228133	+	0.363117i
$425$	−2.90759	−	1.62636i	−0.141039	−	0.0788901i
$426$	−5.18055	−	21.2302i	−0.250999	−	1.02861i
$427$	−0.635899	+	0.462008i	−0.0307733	+	0.0223581i
$428$	9.07189	+	27.2292i	0.438506	+	1.31617i
$429$	−10.9590	+	21.5082i	−0.529103	+	1.03842i
$430$	−2.57013	−	1.36065i	−0.123943	−	0.0656162i
$431$	9.02667	+	27.7812i	0.434799	+	1.33817i	0.893292	+	0.449477i	$0.148390\pi$
$431$	9.02667	+	27.7812i	0.434799	+	1.33817i	−0.458493	+	0.888698i	$0.651610\pi$
$432$	−0.943935	−	63.4126i	−0.0454151	−	3.05094i
$433$	32.7708	−	16.6976i	1.57486	−	0.802433i	0.574988	−	0.818162i	$-0.305007\pi$
$433$	32.7708	−	16.6976i	1.57486	−	0.802433i	0.999876	+	0.0157288i	$0.00500683\pi$
$434$	−5.13057	−	1.21157i	−0.246275	−	0.0581570i
$435$	−27.4759	−	70.1473i	−1.31737	−	3.36331i
$436$	3.69503	−	0.0274999i	0.176960	−	0.00131701i
$437$		−	12.5225i		−	0.599031i
$438$	−5.11063	+	12.4692i	−0.244196	+	0.595801i
$439$	1.25115	+	7.89948i	0.0597143	+	0.377022i	0.999389	+	0.0349520i	$0.0111278\pi$
$439$	1.25115	+	7.89948i	0.0597143	+	0.377022i	−0.939675	+	0.342070i	$0.888872\pi$
$440$	6.57000	−	19.6691i	0.313212	−	0.937689i
$441$	−35.1170	+	25.5140i	−1.67224	+	1.21495i
$442$	1.37563	+	1.59857i	0.0654322	+	0.0760364i
$443$	−12.1733	−	1.92806i	−0.578372	−	0.0916051i	−0.139607	−	0.990207i	$-0.544584\pi$
$443$	−12.1733	−	1.92806i	−0.578372	−	0.0916051i	−0.438765	+	0.898602i	$0.644584\pi$
$444$	−20.7562	+	29.0203i	−0.985047	+	1.37724i
$445$	0.00759036	−	0.0291185i	0.000359817	−	0.00138035i
$446$	−19.4658	−	16.5005i	−0.921732	−	0.781321i
$447$	5.64523	+	35.6426i	0.267010	+	1.68584i
$448$	8.67658	+	4.17963i	0.409930	+	0.197469i
$449$	2.21355	−	6.81259i	0.104464	−	0.321506i	−0.885141	−	0.465324i	$-0.845938\pi$
$449$	2.21355	−	6.81259i	0.104464	−	0.321506i	0.989604	+	0.143818i	$0.0459379\pi$
$450$	37.3626	−	40.7637i	1.76129	−	1.92162i
$451$	6.19779	−	20.0594i	0.291843	−	0.944558i
$452$	21.4247	−	15.8109i	1.00773	−	0.743680i
$453$	−25.2071	−	49.4717i	−1.18433	−	2.32438i
$454$	14.3123	+	16.6318i	0.671710	+	0.780571i
$455$	−1.29268	−	5.88447i	−0.0606018	−	0.275868i
$456$	−25.0197	+	21.8565i	−1.17165	+	1.02353i
$457$	10.4973	+	3.41077i	0.491042	+	0.159549i	0.544063	−	0.839044i	$-0.316885\pi$
$457$	10.4973	+	3.41077i	0.491042	+	0.159549i	−0.0530212	+	0.998593i	$0.516885\pi$
$458$	18.1336	−	4.42491i	0.847326	−	0.206763i
$459$	6.20949	+	8.54663i	0.289834	+	0.398923i
$460$	−1.41703	+	15.6193i	−0.0660692	+	0.728252i
$461$	14.7193	−	10.6942i	0.685547	−	0.498079i	−0.189646	−	0.981852i	$-0.560734\pi$
$461$	14.7193	−	10.6942i	0.685547	−	0.498079i	0.875193	+	0.483773i	$0.160734\pi$
$462$	−9.65244	−	15.6206i	−0.449072	−	0.726735i
$463$	−0.916595	−	0.665945i	−0.0425978	−	0.0309491i	0.566283	−	0.824211i	$-0.308381\pi$
$463$	−0.916595	−	0.665945i	−0.0425978	−	0.0309491i	−0.608880	+	0.793262i	$0.708381\pi$
$464$	−7.01070	−	40.3657i	−0.325463	−	1.87393i
$465$	−15.1240	+	17.0285i	−0.701361	+	0.789677i
$466$	−19.5968	+	1.61570i	−0.907806	+	0.0748459i
$467$	1.86918	−	3.66848i	0.0864955	−	0.169757i	−0.843707	−	0.536804i	$-0.819631\pi$
$467$	1.86918	−	3.66848i	0.0864955	−	0.169757i	0.930202	+	0.367047i	$0.119631\pi$
$468$	−31.0700	+	16.1233i	−1.43621	+	0.745301i
$469$	12.8009	+	4.15926i	0.591090	+	0.192057i
$470$	17.2445	−	5.30606i	0.795428	−	0.244750i
$471$	18.1701	+	55.9218i	0.837234	+	2.57674i
$472$	−27.7231	−	23.1476i	−1.27606	−	1.06545i
$473$	0.931780	+	2.86772i	0.0428433	+	0.131858i
$474$	−20.0677	−	8.22498i	−0.921742	−	0.377786i
$475$	−17.8406	−	0.691765i	−0.818581	−	0.0317404i
$476$	−1.58260	+	0.262748i	−0.0725385	+	0.0120430i
$477$	14.3501	−	19.7512i	0.657045	−	0.904345i
$478$	0.109992	−	1.46737i	0.00503091	−	0.0671158i
$479$	−8.67147	+	4.41833i	−0.396209	+	0.201879i	−0.640732	−	0.767765i	$-0.721369\pi$
$479$	−8.67147	+	4.41833i	−0.396209	+	0.201879i	0.244522	+	0.969644i	$0.421369\pi$
$480$	33.6802	−	24.4304i	1.53729	−	1.11509i
$481$	11.9887	+	1.89883i	0.546639	+	0.0865792i
$482$	−6.59578	+	27.9309i	−0.300430	+	1.27222i
$483$	9.81967	+	9.81967i	0.446810	+	0.446810i
$484$	0.442042	−	0.229391i	0.0200928	−	0.0104269i
$485$	−33.3015	−	14.5562i	−1.51214	−	0.660962i
$486$	−61.0741	+	25.5644i	−2.77038	+	1.15962i
$487$	19.5190	−	3.09150i	0.884490	−	0.140089i	0.302368	−	0.953191i	$-0.402223\pi$
$487$	19.5190	−	3.09150i	0.884490	−	0.140089i	0.582122	+	0.813102i	$0.302223\pi$
$488$	−0.124332	+	1.84254i	−0.00562824	+	0.0834079i
$489$	−27.0703	+	27.0703i	−1.22416	+	1.22416i
$490$	−16.6069	−	5.68487i	−0.750224	−	0.256816i
$491$		−	15.8487i		−	0.715240i	−0.933867	−	0.357620i	$-0.883588\pi$
$491$		−	15.8487i		−	0.715240i	0.933867	−	0.357620i	$-0.116412\pi$
$492$	33.5283	−	25.5017i	1.51157	−	1.14971i
$493$	4.82575	+	4.82575i	0.217341	+	0.217341i
$494$	10.4579	+	4.28629i	0.470524	+	0.192849i
$495$	−57.2344	+	3.39006i	−2.57249	+	0.152372i
$496$	−9.91080	+	7.42848i	−0.445008	+	0.333549i
$497$	−0.884687	−	5.58570i	−0.0396837	−	0.250553i
$498$	18.7174	−	45.6677i	0.838746	−	2.04642i
$499$	−2.85821	+	5.60956i	−0.127951	+	0.251118i	−0.946091	−	0.323901i	$-0.895006\pi$
$499$	−2.85821	+	5.60956i	−0.127951	+	0.251118i	0.818140	+	0.575019i	$0.195006\pi$
$500$	22.1742	+	2.88165i	0.991661	+	0.128871i
$501$			37.3480i			1.66859i
$502$	39.3749	+	9.29824i	1.75739	+	0.415001i
$503$	11.4501	−	8.31900i	0.510535	−	0.370926i	−0.302491	−	0.953152i	$-0.597818\pi$
$503$	11.4501	−	8.31900i	0.510535	−	0.370926i	0.813027	+	0.582226i	$0.197818\pi$
$504$	1.79269	−	26.5668i	0.0798527	−	1.18338i
$505$	−1.89923	+	7.28591i	−0.0845147	+	0.324219i
$506$	12.3261	−	10.6070i	0.547961	−	0.471540i
$507$	−21.2649	−	15.4498i	−0.944405	−	0.686151i
$508$	30.5639	+	21.8603i	1.35605	+	0.969894i
$509$	33.6604	+	5.33129i	1.49197	+	0.236305i	0.848513	−	0.529175i	$-0.177499\pi$
$509$	33.6604	+	5.33129i	1.49197	+	0.236305i	0.643459	+	0.765480i	$0.277499\pi$
$510$	−2.24469	+	6.55731i	−0.0993967	+	0.290363i
$511$	−1.58324	+	3.10729i	−0.0700385	+	0.137458i
$512$	20.6033	−	9.35426i	0.910548	−	0.413404i
$513$	50.4440	+	25.7025i	2.22716	+	1.13479i
$514$	−9.29381	+	15.2936i	−0.409932	+	0.674570i
$515$	37.6893	+	9.82454i	1.66079	+	0.432921i
$516$	−1.82666	+	5.76759i	−0.0804142	+	0.253904i
$517$	−16.6685	−	8.49305i	−0.733082	−	0.373524i
$518$	−5.97038	+	7.04332i	−0.262323	+	0.309466i
$519$	3.39055	−	3.39055i	0.148829	−	0.148829i
$520$	−12.5591	−	6.52968i	−0.550753	−	0.286345i
$521$	−0.610428	−	3.85409i	−0.0267433	−	0.168851i	0.970702	−	0.240287i	$-0.0772417\pi$
$521$	−0.610428	−	3.85409i	−0.0267433	−	0.168851i	−0.997445	+	0.0714365i	$0.977242\pi$
$522$	−96.3608	+	59.5443i	−4.21760	+	2.60618i
$523$	3.10912	−	19.6302i	0.135952	−	0.858368i	−0.821591	−	0.570078i	$-0.806913\pi$
$523$	3.10912	−	19.6302i	0.135952	−	0.858368i	0.957543	−	0.288291i	$-0.0930869\pi$
$524$	4.47861	−	29.7060i	0.195649	−	1.29771i
$525$	14.5324	−	13.4475i	0.634245	−	0.586895i
$526$	29.3291	+	17.8231i	1.27881	+	0.777125i
$527$	0.637555	−	1.96219i	0.0277723	−	0.0854745i
$528$	−42.7064	−	6.11390i	−1.85856	−	0.266073i
$529$	6.29021	−	8.65773i	0.273487	−	0.376423i
$530$	9.87130	+	0.154563i	0.428782	+	0.00671381i
$531$	−30.8566	+	94.9669i	−1.33906	+	4.12121i
$532$	−6.91764	+	5.10505i	−0.299918	+	0.221332i
$533$	−12.8619	−	6.32041i	−0.557112	−	0.273768i
$534$	−0.0624268	−	0.00467943i	−0.00270147	−	0.000202499i
$535$	31.0507	+	8.09404i	1.34244	+	0.349936i
$536$	26.7771	−	16.8231i	1.15660	−	0.726646i
$537$	71.6706	−	11.3515i	3.09282	−	0.489854i
$538$	0.987518	−	0.0814179i	0.0425749	−	0.00351017i
$539$	8.26271	+	16.2165i	0.355900	+	0.698493i
$540$	−60.0102	−	37.7668i	−2.58243	−	1.62523i
$541$	0.236475	+	0.325480i	0.0101669	+	0.0139935i	0.814070	−	0.580767i	$-0.197247\pi$
$541$	0.236475	+	0.325480i	0.0101669	+	0.0139935i	−0.803903	+	0.594760i	$0.797247\pi$
$542$	13.7326	−	11.8174i	0.589866	−	0.507601i
$543$	−7.68398	+	48.5147i	−0.329751	+	2.08197i
$544$	−1.90927	+	3.24985i	−0.0818592	+	0.139336i
$545$	2.22644	−	3.48001i	0.0953702	−	0.149067i
$546$	−11.5619	+	4.83956i	−0.494802	+	0.207114i
$547$	2.23544			0.0955807			0.0477903	−	0.998857i	$-0.484782\pi$
$547$	2.23544			0.0955807			0.0477903	+	0.998857i	$0.484782\pi$
$548$	−8.21790	−	8.09648i	−0.351051	−	0.345865i
$549$	4.85594	−	1.57779i	0.207246	−	0.0673384i
$550$	−14.4308	−	18.1467i	−0.615329	−	0.773778i
$551$	34.7838	+	11.3019i	1.48184	+	0.481479i
$552$	32.4964	−	2.92287i	1.38314	−	0.124406i
$553$	−5.00082	−	2.54805i	−0.212657	−	0.108354i
$554$	5.64465	+	23.1321i	0.239818	+	0.982789i
$555$	14.5484	+	37.1428i	0.617547	+	1.57662i
$556$	27.7206	+	13.8655i	1.17561	+	0.588026i
$557$	−13.0777	−	17.9999i	−0.554120	−	0.762680i	0.436444	−	0.899731i	$-0.356238\pi$
$557$	−13.0777	−	17.9999i	−0.554120	−	0.762680i	−0.990564	+	0.137051i	$0.956238\pi$
$558$	29.2642	+	17.7837i	1.23885	+	0.752843i
$559$	2.03287	−	0.321976i	0.0859814	−	0.0136181i
$560$	9.20604	−	5.58473i	0.389026	−	0.235998i
$561$	6.40314	−	3.26256i	0.270341	−	0.137746i
$562$	15.6335	+	13.2519i	0.659458	+	0.559000i
$563$	−8.70325	+	6.32328i	−0.366798	+	0.266495i	−0.755882	−	0.654708i	$-0.772792\pi$
$563$	−8.70325	+	6.32328i	−0.366798	+	0.266495i	0.389084	+	0.921202i	$0.372792\pi$
$564$	−17.2890	−	33.3162i	−0.727997	−	1.40287i
$565$	−1.76022	−	29.7178i	−0.0740532	−	1.25024i
$566$	14.5642	−	8.99968i	0.612180	−	0.378285i
$567$	−32.8511	+	10.6740i	−1.37962	+	0.448265i
$568$	−11.4059	−	6.81559i	−0.478581	−	0.285976i
$569$	−7.86210	−	5.71215i	−0.329596	−	0.239466i	0.410663	−	0.911787i	$-0.365297\pi$
$569$	−7.86210	−	5.71215i	−0.329596	−	0.239466i	−0.740259	+	0.672321i	$0.765297\pi$
$570$	5.23541	+	36.7723i	0.219287	+	1.54022i
$571$	0.904667	−	0.904667i	0.0378591	−	0.0378591i	−0.687924	−	0.725783i	$-0.741478\pi$
$571$	0.904667	−	0.904667i	0.0378591	−	0.0378591i	0.725783	+	0.687924i	$0.241478\pi$
$572$	4.63921	+	13.9245i	0.193975	+	0.582215i
$573$	−28.0076	−	28.0076i	−1.17004	−	1.17004i
$574$	9.18964	−	5.86425i	0.383568	−	0.244769i
$575$	13.7758	+	10.8485i	0.574490	+	0.452412i
$576$	−45.2133	−	43.2381i	−1.88389	−	1.80159i
$577$	−29.2521			−1.21778			−0.608890	−	0.793254i	$-0.708385\pi$
$577$	−29.2521			−1.21778			−0.608890	+	0.793254i	$0.708385\pi$
$578$	1.92387	+	23.3346i	0.0800223	+	0.970591i
$579$	−44.5461	+	61.3124i	−1.85127	+	2.54806i
$580$	−42.1069	−	18.0330i	−1.74839	−	0.748778i
$581$	5.79853	−	11.3803i	0.240563	−	0.472132i
$582$	−17.3769	+	73.5853i	−0.720296	+	3.05021i
$583$	−7.23830	−	7.23830i	−0.299780	−	0.299780i
$584$	3.21985	+	7.53440i	0.133238	+	0.311776i
$585$	−3.82599	+	38.9486i	−0.158185	+	1.61033i
$586$	0.0131246	+	0.159188i	0.000542171	+	0.00657600i
$587$	−29.1723	−	9.47864i	−1.20407	−	0.391225i	−0.362812	−	0.931862i	$-0.618183\pi$
$587$	−29.1723	−	9.47864i	−1.20407	−	0.391225i	−0.841256	+	0.540637i	$0.818183\pi$
$588$	−5.44394	+	36.1090i	−0.224504	+	1.48911i
$589$	−1.72965	−	10.9206i	−0.0712691	−	0.449975i
$590$	−38.5936	+	11.8751i	−1.58887	+	0.488890i
$591$	−36.1303	−	5.72248i	−1.48620	−	0.235391i
$592$	3.71214	+	21.3735i	0.152568	+	0.878447i
$593$	4.21735	+	12.9797i	0.173186	+	0.533011i	0.999546	−	0.0301312i	$-0.00959251\pi$
$593$	4.21735	+	12.9797i	0.173186	+	0.533011i	−0.826360	+	0.563142i	$0.809593\pi$
$594$	17.4287	+	71.4238i	0.715108	+	2.93055i
$595$	−0.718370	+	1.64348i	−0.0294503	+	0.0673762i
$596$	17.8465	+	12.7644i	0.731020	+	0.522850i
$597$	2.86736	+	5.62751i	0.117353	+	0.230319i
$598$	−5.83493	−	9.44269i	−0.238608	−	0.386140i
$599$	−13.6280	−	41.9427i	−0.556825	−	1.71373i	−0.691074	−	0.722784i	$-0.742862\pi$
$599$	−13.6280	−	41.9427i	−0.556825	−	1.71373i	0.134248	−	0.990948i	$-0.457138\pi$
$600$	−2.36901	−	46.4585i	−0.0967143	−	1.89666i
$601$	−21.4047	+	21.4047i	−0.873117	+	0.873117i	−0.992811	−	0.119694i	$-0.961809\pi$
$601$	−21.4047	+	21.4047i	−0.873117	+	0.873117i	0.119694	+	0.992811i	$0.461809\pi$
$602$	−0.593761	+	1.44869i	−0.0241999	+	0.0590442i
$603$	−70.7339	−	51.3912i	−2.88051	−	2.09281i
$604$	−32.1836	−	10.1929i	−1.30953	−	0.414744i
$605$	0.0544335	−	0.554134i	0.00221304	−	0.0225287i
$606$	15.6202	+	1.17087i	0.634527	+	0.0475633i
$607$	0.888786	−	5.61158i	0.0360747	−	0.227767i	−0.963063	−	0.269275i	$-0.913216\pi$
$607$	0.888786	−	5.61158i	0.0360747	−	0.227767i	0.999138	+	0.0415077i	$0.0132161\pi$
$608$	−1.20991	+	20.1632i	−0.0490685	+	0.817726i
$609$	−36.1388	+	18.4136i	−1.46442	+	0.746157i
$610$	1.65118	+	1.23961i	0.0668543	+	0.0501902i
$611$	−7.50577	+	10.3308i	−0.303651	+	0.417940i
$612$	10.3046	+	1.55357i	0.416539	+	0.0627993i
$613$	14.8914	+	29.2261i	0.601460	+	1.18043i	0.968216	+	0.250114i	$0.0804681\pi$
$613$	14.8914	+	29.2261i	0.601460	+	1.18043i	−0.366757	+	0.930317i	$0.619532\pi$
$614$	−17.9068	−	1.34227i	−0.722659	−	0.0541695i
$615$	−3.46569	−	46.9691i	−0.139750	−	1.89398i
$616$	−10.8845	−	2.48496i	−0.438549	−	0.100122i
$617$	−11.2259	+	5.71989i	−0.451938	+	0.230274i	−0.665117	−	0.746739i	$-0.731618\pi$
$617$	−11.2259	+	5.71989i	−0.451938	+	0.230274i	0.213179	+	0.977013i	$0.431618\pi$
$618$	6.05679	−	80.8018i	0.243640	−	3.25033i
$619$	−12.8250	−	9.31793i	−0.515482	−	0.374519i	0.299417	−	0.954122i	$-0.403208\pi$
$619$	−12.8250	−	9.31793i	−0.515482	−	0.374519i	−0.814899	+	0.579603i	$0.803208\pi$
$620$	0.921633	+	13.8170i	0.0370137	+	0.554903i
$621$	−25.2427	−	49.5416i	−1.01295	−	1.98803i
$622$	−26.4489	+	6.45400i	−1.06050	+	0.258782i
$623$	−0.0160011	−	0.00253433i	−0.000641072	−	0.000101536i
$624$	−8.68212	+	28.1392i	−0.347563	+	1.12647i
$625$	16.2166	−	19.0268i	0.648665	−	0.761074i
$626$	9.12566	+	2.15499i	0.364735	+	0.0861308i
$627$	22.6372	−	31.1574i	0.904041	−	1.24431i
$628$	31.9745	+	15.9932i	1.27592	+	0.638198i
$629$	−2.55522	−	2.55522i	−0.101883	−	0.101883i
$630$	−23.8076	−	17.8734i	−0.948518	−	0.712092i
$631$	31.1163	−	10.1103i	1.23872	−	0.402484i	0.384854	−	0.922978i	$-0.374252\pi$
$631$	31.1163	−	10.1103i	1.23872	−	0.402484i	0.853866	+	0.520493i	$0.174252\pi$
$632$	−12.1257	+	5.18198i	−0.482336	+	0.206128i
$633$	−41.3429	+	21.0653i	−1.64323	+	0.837270i
$634$	−3.47020	+	5.71043i	−0.137819	+	0.226790i
$635$	39.1185	−	15.3223i	1.55237	−	0.608047i
$636$	−3.36383	−	20.2613i	−0.133385	−	0.803413i
$637$	11.8152	−	3.83900i	0.468136	−	0.152107i
$638$	18.3386	+	43.8114i	0.726032	+	1.73451i
$639$	−5.74679	+	36.2838i	−0.227340	+	1.43537i
$640$	3.79076	−	25.0126i	0.149843	−	0.988710i
$641$	0.268588	−	0.0425401i	0.0106086	−	0.00168023i	−0.151128	−	0.988514i	$-0.548291\pi$
$641$	0.268588	−	0.0425401i	0.0106086	−	0.00168023i	0.161736	+	0.986834i	$0.448291\pi$
$642$	4.98995	−	66.5694i	0.196938	−	2.62728i
$643$	0.255199	−	0.785422i	0.0100641	−	0.0309740i	−0.945898	−	0.324463i	$-0.894816\pi$
$643$	0.255199	−	0.785422i	0.0100641	−	0.0309740i	0.955962	+	0.293489i	$0.0948164\pi$
$644$	8.44337	−	0.0628389i	0.332715	−	0.00247620i
$645$	4.29240	+	5.22757i	0.169013	+	0.205835i
$646$	−1.76874	−	2.86237i	−0.0695903	−	0.112618i
$647$	22.9749	−	22.9749i	0.903236	−	0.903236i	−0.0924785	−	0.995715i	$-0.529479\pi$
$647$	22.9749	−	22.9749i	0.903236	−	0.903236i	0.995715	+	0.0924785i	$0.0294789\pi$
$648$	−30.2179	+	75.3197i	−1.18707	+	2.95884i
$649$	37.3046	+	19.0077i	1.46434	+	0.746116i
$650$	−13.7752	+	7.79130i	−0.540307	+	0.305600i
$651$	9.91986	+	7.20720i	0.388790	+	0.282473i
$652$	0.173230	+	23.2762i	0.00678423	+	0.911565i
$653$		−	31.9818i		−	1.25155i	−0.780006	−	0.625773i	$-0.784784\pi$
$653$		−	31.9818i		−	1.25155i	0.780006	−	0.625773i	$-0.215216\pi$
$654$	−7.95263	−	3.25947i	−0.310972	−	0.127455i
$655$	−25.1128	−	22.3042i	−0.981239	−	0.871499i
$656$	3.26193	−	25.4039i	0.127357	−	0.991857i
$657$	16.0185	−	16.0185i	0.624941	−	0.624941i
$658$	−3.75060	−	8.96030i	−0.146214	−	0.349309i
$659$	−17.6120	−	17.6120i	−0.686066	−	0.686066i	0.275294	−	0.961360i	$-0.411225\pi$
$659$	−17.6120	−	17.6120i	−0.686066	−	0.686066i	−0.961360	+	0.275294i	$0.911225\pi$
$660$	−31.7610	+	36.3009i	−1.23630	+	1.41301i
$661$	22.8024	−	31.3848i	0.886910	−	1.22073i	−0.0875489	−	0.996160i	$-0.527903\pi$
$661$	22.8024	−	31.3848i	0.886910	−	1.22073i	0.974459	−	0.224566i	$-0.0720966\pi$
$662$	1.85716	−	4.53120i	0.0721805	−	0.176110i
$663$	−1.51584	−	4.66529i	−0.0588705	−	0.181185i
$664$	−11.7925	−	27.5943i	−0.457638	−	1.07087i
$665$	0.568345	+	9.59537i	0.0220395	+	0.372092i
$666$	51.0228	−	31.5285i	1.97709	−	1.22171i
$667$	−21.1130	−	29.0596i	−0.817499	−	1.12519i
$668$	16.1762	+	15.9372i	0.625876	+	0.616629i
$669$	26.9462	+	52.8849i	1.04180	+	2.04465i
$670$	0.553530	−	35.3515i	0.0213847	−	1.36575i
$671$	−0.334900	−	2.11448i	−0.0129287	−	0.0816284i
$672$	−14.8625	−	16.7600i	−0.573332	−	0.646532i
$673$	−16.0700	+	11.6756i	−0.619455	+	0.450060i	−0.852731	−	0.522350i	$-0.825055\pi$
$673$	−16.0700	+	11.6756i	−0.619455	+	0.450060i	0.233276	+	0.972411i	$0.425055\pi$
$674$	−0.109540	−	0.0448961i	−0.00421932	−	0.00172933i
$675$	−71.9755	+	33.2261i	−2.77034	+	1.27887i
$676$	−15.7658	+	2.61748i	−0.606377	+	0.100672i
$677$	−10.6252	+	20.8532i	−0.408361	+	0.801453i	−0.999989	−	0.00475812i	$-0.998485\pi$
$677$	−10.6252	+	20.8532i	−0.408361	+	0.801453i	0.591628	+	0.806211i	$0.298485\pi$
$678$	−60.1675	+	14.6820i	−2.31072	+	0.563857i
$679$	−6.04644	+	18.6090i	−0.232041	+	0.714149i
$680$	1.88225	+	3.77037i	0.0721810	+	0.144587i
$681$	−15.7711	−	48.5384i	−0.604349	−	1.86000i
$682$	9.28423	−	10.9527i	0.355512	−	0.419401i
$683$			25.3108i			0.968489i	0.874933	+	0.484245i	$0.160905\pi$
$683$			25.3108i			0.968489i	−0.874933	+	0.484245i	$0.839095\pi$
$684$	52.9841	−	17.6526i	2.02590	−	0.674964i
$685$	−12.5976	+	2.76740i	−0.481330	+	0.105737i
$686$	−4.91083	+	20.7957i	−0.187496	+	0.793983i
$687$	−42.8807	−	6.79163i	−1.63600	−	0.259117i
$688$	1.71859	+	3.25232i	0.0655205	+	0.123993i
$689$	−5.65287	+	4.10705i	−0.215357	+	0.156466i
$690$	17.0678	−	32.2395i	0.649761	−	1.22734i
$691$	28.6000	−	14.5724i	1.08800	−	0.554361i	0.184445	−	0.982843i	$-0.440951\pi$
$691$	28.6000	−	14.5724i	1.08800	−	0.554361i	0.903551	+	0.428481i	$0.140951\pi$
$692$	−0.0216971	−	2.91534i	−0.000824801	−	0.110825i
$693$	4.82878	+	30.4877i	0.183430	+	1.15813i
$694$	3.26802	+	3.79765i	0.124052	+	0.144157i
$695$	29.8921	−	17.5304i	1.13387	−	0.664965i
$696$	−21.2101	+	92.9035i	−0.803968	+	3.52150i
$697$	1.99181	+	3.77296i	0.0754450	+	0.142911i
$698$	17.7661	+	20.6453i	0.672455	+	0.781437i
$699$	43.4973	+	14.1331i	1.64522	+	0.534565i
$700$	0.376902	−	12.0326i	0.0142456	−	0.454789i
$701$	−27.5926	−	20.0472i	−1.04216	−	0.757172i	−0.0714517	−	0.997444i	$-0.522763\pi$
$701$	−27.5926	−	20.0472i	−1.04216	−	0.757172i	−0.970705	+	0.240273i	$0.922763\pi$
$702$	50.0140	−	4.12350i	1.88766	−	0.155632i
$703$	−18.4179	−	5.98435i	−0.694645	−	0.225704i
$704$	−20.8718	+	15.8881i	−0.786635	+	0.598805i
$705$	−41.7644	−	4.10259i	−1.57294	−	0.154512i
$706$	0.0521027	−	0.695086i	0.00196091	−	0.0261599i
$707$	4.00375	+	0.634131i	0.150576	+	0.0238489i
$708$	38.6932	+	74.5625i	1.45418	+	2.80223i
$709$	3.65116	−	0.578288i	0.137122	−	0.0217181i	−0.0874959	−	0.996165i	$-0.527886\pi$
$709$	3.65116	−	0.578288i	0.137122	−	0.0217181i	0.224618	+	0.974447i	$0.427886\pi$
$710$	−13.3402	+	6.53617i	−0.500650	+	0.245298i
$711$	25.7799	+	25.7799i	0.966822	+	0.966822i
$712$	−0.0286656	+	0.0250415i	−0.00107429	+	0.000938471i
$713$	−4.92985	+	9.67538i	−0.184624	+	0.362346i
$714$	3.63155	+	0.857578i	0.135907	+	0.0320940i
$715$	15.8788	+	4.13916i	0.593834	+	0.154796i
$716$	25.6668	−	35.8860i	0.959214	−	1.34112i
$717$	−1.55382	+	3.04955i	−0.0580286	+	0.113888i
$718$	24.3050	−	39.9954i	0.907053	−	1.49261i
$719$	−15.2548	−	7.77271i	−0.568908	−	0.289873i	0.145779	−	0.989317i	$-0.453431\pi$
$719$	−15.2548	−	7.77271i	−0.568908	−	0.289873i	−0.714687	+	0.699444i	$0.753431\pi$
$720$	−68.0845	+	16.0224i	−2.53736	+	0.597121i
$721$	3.28030	−	20.7110i	0.122165	−	0.771318i
$722$	7.55279	+	4.58978i	0.281086	+	0.170814i
$723$	39.2361	−	54.0039i	1.45921	−	2.00843i
$724$	17.7338	+	24.0304i	0.659072	+	0.893082i
$725$	−42.5670	+	28.4740i	−1.58090	+	1.05750i
$726$	−1.15444	+	0.0951804i	−0.0428454	+	0.00353248i
$727$	25.1723	+	34.6467i	0.933588	+	1.28497i	0.958444	+	0.285282i	$0.0920873\pi$
$727$	25.1723	+	34.6467i	0.933588	+	1.28497i	−0.0248559	+	0.999691i	$0.507913\pi$
$728$	−2.83758	+	7.07283i	−0.105168	+	0.262137i
$729$	67.9194			2.51553
$730$	9.02436	+	1.57453i	0.334007	+	0.0582758i
$731$	−0.545961	−	0.278181i	−0.0201931	−	0.0102889i
$732$	1.92153	−	3.84163i	0.0710218	−	0.141991i
$733$	−30.5515	+	4.83888i	−1.12844	+	0.178728i	−0.692619	−	0.721304i	$-0.743543\pi$
$733$	−30.5515	+	4.83888i	−1.12844	+	0.178728i	−0.435825	+	0.900032i	$0.643543\pi$
$734$	20.0713	+	17.0138i	0.740847	+	0.627990i
$735$	30.5257	+	27.1118i	1.12596	+	1.00003i
$736$	12.6009	−	15.3221i	0.464477	−	0.564780i
$737$	−25.9221	+	25.9221i	−0.954854	+	0.954854i
$738$	−68.5443	+	17.7823i	−2.52315	+	0.654575i
$739$	40.5634			1.49215			0.746074	−	0.665864i	$-0.231937\pi$
$739$	40.5634			1.49215			0.746074	+	0.665864i	$0.231937\pi$
$740$	22.2955	+	9.54841i	0.819597	+	0.351006i
$741$	−18.5887	−	18.5887i	−0.682871	−	0.682871i
$742$	−0.436736	−	5.29717i	−0.0160331	−	0.194465i
$743$	0.638530	+	4.03152i	0.0234254	+	0.147902i	0.996629	−	0.0820443i	$-0.0261449\pi$
$743$	0.638530	+	4.03152i	0.0234254	+	0.147902i	−0.973203	+	0.229946i	$0.926145\pi$
$744$	27.9357	−	7.03750i	1.02417	−	0.258007i
$745$	22.8416	−	8.94680i	0.836851	−	0.327785i
$746$	−25.3442	−	41.0146i	−0.927917	−	1.50165i
$747$	−58.6667	+	58.6667i	−2.14650	+	2.14650i
$748$	1.31927	−	4.16554i	0.0482375	−	0.152307i
$749$	2.70251	−	17.0630i	0.0987474	−	0.623467i
$750$	−44.9882	−	26.0972i	−1.64274	−	0.952936i
$751$	−1.50677	−	2.95720i	−0.0549828	−	0.107910i	0.861880	−	0.507112i	$-0.169287\pi$
$751$	−1.50677	−	2.95720i	−0.0549828	−	0.107910i	−0.916863	+	0.399202i	$0.869287\pi$
$752$	−21.8075	−	6.72853i	−0.795238	−	0.245364i
$753$	−76.1306	−	55.3122i	−2.77436	−	2.01569i
$754$	31.4953	−	7.68541i	1.14699	−	0.279886i
$755$	−29.1703	+	23.9520i	−1.06161	+	0.871702i
$756$	−17.0769	+	34.1412i	−0.621083	+	1.24170i
$757$	35.3756	−	11.4942i	1.28575	−	0.417765i	0.415148	−	0.909754i	$-0.363730\pi$
$757$	35.3756	−	11.4942i	1.28575	−	0.417765i	0.870602	+	0.491989i	$0.163730\pi$
$758$	27.0798	−	44.5615i	0.983582	−	1.61855i
$759$	−35.9725	+	11.6882i	−1.30572	+	0.424253i
$760$	18.1609	+	13.4240i	0.658766	+	0.486939i
$761$	−6.39414	+	19.6791i	−0.231787	+	0.713368i	0.765744	+	0.643146i	$0.222371\pi$
$761$	−6.39414	+	19.6791i	−0.231787	+	0.713368i	−0.997531	+	0.0702227i	$0.977629\pi$
$762$	−45.9443	−	74.3518i	−1.66439	−	2.69348i
$763$	−1.98177	−	1.00976i	−0.0717449	−	0.0365559i
$764$	−24.0821	+	0.179229i	−0.871261	+	0.00648427i
$765$	7.73703	−	8.71129i	0.279733	−	0.314957i
$766$	11.5453	+	27.5820i	0.417148	+	0.996578i
$767$	16.7981	−	23.1206i	0.606545	−	0.834837i
$768$	−52.6068	+	1.56652i	−1.89828	+	0.0565268i
$769$	14.2535	+	19.6183i	0.513995	+	0.707454i	0.984587	−	0.174898i	$-0.0559594\pi$
$769$	14.2535	+	19.6183i	0.513995	+	0.707454i	−0.470591	+	0.882351i	$0.655959\pi$
$770$	−8.96346	+	8.68709i	−0.323021	+	0.313061i
$771$	33.6755	−	24.4667i	1.21279	−	0.881145i
$772$	7.54691	+	45.4572i	0.271619	+	1.63604i
$773$	5.04757	−	15.5348i	0.181549	−	0.558749i	−0.818323	−	0.574758i	$-0.805096\pi$
$773$	5.04757	−	15.5348i	0.181549	−	0.558749i	0.999872	+	0.0160092i	$0.00509610\pi$
$774$	6.57620	−	7.75801i	0.236377	−	0.278856i
$775$	13.5120	+	7.55796i	0.485366	+	0.271490i
$776$	24.4562	+	38.9267i	0.877927	+	1.39739i
$777$	19.1354	−	9.74996i	0.686478	−	0.349778i
$778$	−19.3099	−	22.4394i	−0.692293	−	0.804490i
$779$	18.6904	+	13.1698i	0.669652	+	0.471857i
$780$	21.0821	+	25.2891i	0.754861	+	0.905493i
$781$	14.6493	+	4.75983i	0.524192	+	0.170320i
$782$	−0.247013	+	3.29532i	−0.00883315	+	0.117840i
$783$	160.394	−	25.4040i	5.73203	−	0.907864i
$784$	13.3165	+	17.7664i	0.475589	+	0.634513i
$785$	34.4792	−	20.2205i	1.23062	−	0.721702i
$786$	−36.2878	+	59.7140i	−1.29434	+	2.12993i
$787$	3.96799	−	25.0529i	0.141444	−	0.893040i	−0.810271	−	0.586056i	$-0.800680\pi$
$787$	3.96799	−	25.0529i	0.141444	−	0.893040i	0.951714	−	0.306985i	$-0.0993200\pi$
$788$	−17.8961	+	13.2069i	−0.637522	+	0.470476i
$789$	−46.9207	−	64.5808i	−1.67042	−	2.29914i
$790$	−2.53402	+	14.5237i	−0.0901563	+	0.516729i
$791$	−15.8302	+	2.50725i	−0.562855	+	0.0891475i
$792$	62.2554	+	37.2007i	2.21215	+	1.32187i
$793$	−1.46131			−0.0518926
$794$	1.07446	+	13.0322i	0.0381313	+	0.462495i
$795$	−21.0407	−	9.19694i	−0.746236	−	0.326182i
$796$	3.66096	+	1.15947i	0.129759	+	0.0410962i
$797$	−0.904827	−	1.77582i	−0.0320506	−	0.0629028i	0.874426	−	0.485159i	$-0.161238\pi$
$797$	−0.904827	−	1.77582i	−0.0320506	−	0.0629028i	−0.906477	+	0.422256i	$0.861238\pi$
$798$	19.4270	−	4.74055i	0.687710	−	0.167814i
$799$	3.61554	−	1.17476i	0.127909	−	0.0415600i
$800$	−21.1331	−	18.7988i	−0.747166	−	0.664637i
$801$	0.0937665	+	0.0477764i	0.00331308	+	0.00168810i
$802$	−16.0443	−	38.3303i	−0.566543	−	1.35349i
$803$	−5.58305	−	7.68440i	−0.197021	−	0.271177i
$804$	−72.5607	+	12.0467i	−2.55902	+	0.424855i
$805$	5.08755	−	7.95204i	0.179312	−	0.280272i
$806$	−6.39278	−	7.42883i	−0.225176	−	0.261669i
$807$	−2.19190	−	0.712193i	−0.0771587	−	0.0250704i
$808$	7.17260	−	6.26580i	0.252331	−	0.220430i
$809$	−4.29045	+	27.0888i	−0.150844	+	0.952392i	0.789890	+	0.613248i	$0.210137\pi$
$809$	−4.29045	+	27.0888i	−0.150844	+	0.952392i	−0.940734	+	0.339144i	$0.889863\pi$
$810$	52.1765	+	74.2316i	1.83330	+	2.60823i
$811$	−26.0890			−0.916109			−0.458055	−	0.888924i	$-0.651454\pi$
$811$	−26.0890			−0.916109			−0.458055	+	0.888924i	$0.651454\pi$
$812$	−7.44587	+	23.5099i	−0.261299	+	0.825037i
$813$	−40.0773	+	13.0219i	−1.40557	+	0.456698i
$814$	−9.71023	−	23.1980i	−0.340343	−	0.813091i
$815$	21.9217	+	14.0250i	0.767883	+	0.491276i
$816$	7.01512	−	5.25807i	0.245578	−	0.184069i
$817$	−3.28376			−0.114884
$818$	1.39687	+	3.33715i	0.0488403	+	0.116681i
$819$	21.0700			0.736245
$820$	−21.8222	−	18.5417i	−0.762063	−	0.647503i
$821$	−4.63363			−0.161715			−0.0808573	−	0.996726i	$-0.525766\pi$
$821$	−4.63363			−0.161715			−0.0808573	+	0.996726i	$0.525766\pi$
$822$	10.3607	+	24.7519i	0.361370	+	0.863323i
$823$	0.172990			0.00603003			0.00301502	−	0.999995i	$-0.499040\pi$
$823$	0.172990			0.00603003			0.00301502	+	0.999995i	$0.499040\pi$
$824$	−32.4124	−	37.1032i	−1.12914	−	1.29255i
$825$	14.6647	+	51.8950i	0.510561	+	1.80675i
$826$	8.39394	+	20.0534i	0.292063	+	0.697746i
$827$	40.5710	−	13.1823i	1.41079	−	0.458394i	0.498128	−	0.867103i	$-0.334021\pi$
$827$	40.5710	−	13.1823i	1.41079	−	0.458394i	0.912665	+	0.408709i	$0.134021\pi$
$828$	−52.2886	−	16.5604i	−1.81715	−	0.575513i
$829$	−44.4426			−1.54356			−0.771778	−	0.635892i	$-0.780632\pi$
$829$	−44.4426			−1.54356			−0.771778	+	0.635892i	$0.780632\pi$
$830$	−33.0512	−	5.76660i	−1.14722	−	0.200162i
$831$	8.66376	−	54.7009i	0.300543	−	1.89755i
$832$	8.48283	+	15.7680i	0.294089	+	0.546657i
$833$	−3.51748	−	1.14290i	−0.121873	−	0.0395991i
$834$	−47.0239	−	54.6448i	−1.62830	−	1.89219i
$835$	24.7973	−	5.44739i	0.858146	−	0.188515i
$836$	−3.83515	−	23.1001i	−0.132641	−	0.798935i
$837$	−28.8565	−	39.7176i	−0.997427	−	1.37284i
$838$	12.0070	+	28.6850i	0.414773	+	0.990906i
$839$	20.0330	+	10.2073i	0.691615	+	0.352395i	0.764211	−	0.644966i	$-0.223129\pi$
$839$	20.0330	+	10.2073i	0.691615	+	0.352395i	−0.0725966	+	0.997361i	$0.523129\pi$
$840$	−24.7677	+	3.71454i	−0.854568	+	0.128164i
$841$	72.1935	−	23.4571i	2.48943	−	0.808865i
$842$	−15.6691	+	3.82353i	−0.539992	+	0.131768i
$843$	−21.6412	−	42.4732i	−0.745361	−	1.46285i
$844$	−8.51811	+	26.8955i	−0.293205	+	0.925781i
$845$	−7.15636	+	16.3723i	−0.246186	+	0.563223i
$846$	5.18465	+	62.8847i	0.178252	+	2.16202i
$847$	−0.299769			−0.0103002
$848$	−10.2110	−	7.18899i	−0.350647	−	0.246871i
$849$	−39.3310	+	6.22942i	−1.34984	+	0.213793i
$850$	4.68114	+	0.533955i	0.160562	+	0.0183145i
$851$	11.1793	+	15.3870i	0.383221	+	0.527458i
$852$	18.3511	+	24.8668i	0.628698	+	0.851923i
$853$	−3.31324	+	20.9190i	−0.113443	+	0.716252i	0.863753	+	0.503915i	$0.168107\pi$
$853$	−3.31324	+	20.9190i	−0.113443	+	0.716252i	−0.977196	+	0.212337i	$0.931893\pi$
$854$	0.577275	−	0.949944i	0.0197539	−	0.0325064i
$855$	15.7499	−	60.4203i	0.538634	−	2.06633i
$856$	−26.7033	−	30.5678i	−0.912699	−	1.04479i
$857$	27.4913	−	4.35420i	0.939086	−	0.148737i	0.331916	−	0.943309i	$-0.392305\pi$
$857$	27.4913	−	4.35420i	0.939086	−	0.148737i	0.607170	+	0.794572i	$0.292305\pi$
$858$	2.55177	−	34.0424i	0.0871161	−	1.16219i
$859$	−16.3031	−	5.29719i	−0.556254	−	0.180738i	0.0173809	−	0.999849i	$-0.494467\pi$
$859$	−16.3031	−	5.29719i	−0.556254	−	0.180738i	−0.573635	+	0.819111i	$0.694467\pi$
$860$	4.09583	+	0.371586i	0.139667	+	0.0126710i
$861$	−24.9836	+	4.32901i	−0.851438	+	0.147532i
$862$	−26.9457	−	31.3127i	−0.917775	−	1.06651i
$863$	15.1617	−	7.72527i	0.516110	−	0.262971i	−0.176478	−	0.984305i	$-0.556470\pi$
$863$	15.1617	−	7.72527i	0.516110	−	0.262971i	0.692588	+	0.721333i	$0.256470\pi$
$864$	35.8581	+	82.2088i	1.21992	+	2.79680i
$865$	−2.74569	−	1.75664i	−0.0933563	−	0.0597274i
$866$	−33.6330	+	39.6773i	−1.14290	+	1.34829i
$867$	16.8288	−	51.7937i	0.571536	−	1.75901i
$868$	7.35461	−	1.22103i	0.249632	−	0.0414445i
$869$	12.3672	−	8.98527i	0.419527	−	0.304804i
$870$	74.1477	+	76.5067i	2.51384	+	2.59382i
$871$	14.7084	+	20.2443i	0.498374	+	0.685953i
$872$	−4.80530	+	2.05356i	−0.162728	+	0.0695424i
$873$	74.7089	−	102.828i	2.52851	−	3.48020i
$874$	6.83795	+	16.3361i	0.231297	+	0.552576i
$875$	−11.0481	−	7.68743i	−0.373494	−	0.259883i
$876$	−0.141832	−	19.0573i	−0.00479205	−	0.643885i
$877$	7.63213	+	3.88876i	0.257719	+	0.131314i	0.578077	−	0.815982i	$-0.303803\pi$
$877$	7.63213	+	3.88876i	0.257719	+	0.131314i	−0.320358	+	0.947296i	$0.603803\pi$
$878$	−5.94572	−	9.62199i	−0.200658	−	0.324726i
$879$	0.114806	−	0.353335i	0.00387230	−	0.0119177i
$880$	2.16959	+	29.2467i	0.0731368	+	0.985908i
$881$	−21.1679	+	6.87786i	−0.713163	+	0.231721i	−0.643057	−	0.765819i	$-0.722334\pi$
$881$	−21.1679	+	6.87786i	−0.713163	+	0.231721i	−0.0701068	+	0.997539i	$0.522334\pi$
$882$	31.8795	−	52.4598i	1.07344	−	1.76641i
$883$	−30.7250	+	9.98317i	−1.03398	+	0.335960i	−0.776363	−	0.630287i	$-0.782937\pi$
$883$	−30.7250	+	9.98317i	−1.03398	+	0.335960i	−0.257617	+	0.966247i	$0.582937\pi$
$884$	−2.66748	−	1.33423i	−0.0897169	−	0.0448752i
$885$	93.4699	+	9.18170i	3.14195	+	0.308639i
$886$	16.9334	−	4.13205i	0.568889	−	0.138819i
$887$	25.2413	+	18.3388i	0.847518	+	0.615758i	0.924461	−	0.381277i	$-0.124516\pi$
$887$	25.2413	+	18.3388i	0.847518	+	0.615758i	−0.0769423	+	0.997036i	$0.524516\pi$
$888$	11.2307	−	49.1921i	0.376878	−	1.65078i
$889$	−10.2686	−	20.1532i	−0.344397	−	0.675917i
$890$	0.00599833	+	0.0421309i	0.000201064	+	0.00141223i
$891$	14.7173	−	92.9214i	0.493048	−	3.11299i
$892$	34.4041	+	10.8962i	1.15193	+	0.364831i
$893$	14.4060	−	14.4060i	0.482077	−	0.482077i
$894$	−26.8272	−	43.4146i	−0.897236	−	1.45200i
$895$	−17.9904	−	45.9302i	−0.601352	−	1.53528i
$896$	−13.6012	−	0.714612i	−0.454386	−	0.0238735i
$897$	4.03883	+	25.5002i	0.134853	+	0.851427i
$898$	0.832386	+	10.0960i	0.0277771	+	0.336908i
$899$	−22.4260	−	22.4260i	−0.747950	−	0.747950i
$900$	−26.4818	+	73.5798i	−0.882728	+	2.45266i
$901$	2.08018			0.0693009
$902$	2.86823	+	29.5526i	0.0955016	+	0.983993i
$903$	2.57501	−	2.57501i	0.0856908	−	0.0856908i
$904$	−19.3157	+	32.3249i	−0.642431	+	1.07511i
$905$	33.3322	−	1.97431i	1.10800	−	0.0656282i
$906$	59.8979	+	50.7734i	1.98997	+	1.68683i
$907$	13.6348	−	2.15954i	0.452737	−	0.0717064i	0.0740978	−	0.997251i	$-0.476392\pi$
$907$	13.6348	−	2.15954i	0.452737	−	0.0717064i	0.378639	+	0.925545i	$0.376392\pi$
$908$	−27.7529	−	13.8816i	−0.921011	−	0.460677i
$909$	−23.4619	−	11.9544i	−0.778182	−	0.396504i
$910$	4.89959	+	6.97065i	0.162420	+	0.231075i
$911$	−19.6269			−0.650267			−0.325134	−	0.945668i	$-0.605409\pi$
$911$	−19.6269			−0.650267			−0.325134	+	0.945668i	$0.605409\pi$
$912$	20.7043	−	42.1748i	0.685588	−	1.39655i
$913$	20.4476	+	28.1437i	0.676716	+	0.931419i
$914$	−15.5566	+	1.28259i	−0.514566	+	0.0424245i
$915$	−2.42943	−	4.14256i	−0.0803145	−	0.136949i
$916$	−21.2397	+	15.6744i	−0.701780	+	0.517896i
$917$	−10.6288	+	14.6294i	−0.350995	+	0.483104i
$918$	−12.7675	−	7.75871i	−0.421389	−	0.256075i
$919$	0.238166	−	1.50372i	0.00785637	−	0.0496032i	−0.983449	−	0.181187i	$-0.942006\pi$
$919$	0.238166	−	1.50372i	0.00785637	−	0.0496032i	0.991305	+	0.131584i	$0.0420062\pi$
$920$	−6.68040	−	21.1497i	−0.220246	−	0.697286i
$921$	37.2147	+	18.9618i	1.22627	+	0.624814i
$922$	−13.3623	+	21.9886i	−0.440065	+	0.724155i
$923$	4.77327	−	9.36807i	0.157114	−	0.308354i
$924$	21.1217	+	15.1069i	0.694852	+	0.496981i
$925$	22.5391	−	15.0769i	0.741081	−	0.495726i
$926$	1.55938	+	0.368242i	0.0512443	+	0.0121012i
$927$	−61.8392	+	121.366i	−2.03106	+	3.98619i
$928$	31.1876	+	48.8305i	1.02378	+	1.60294i
$929$	0.857957	+	0.857957i	0.0281486	+	0.0281486i	0.721041	−	0.692892i	$-0.243664\pi$
$929$	0.857957	+	0.857957i	0.0281486	+	0.0281486i	−0.692892	+	0.721041i	$0.743664\pi$
$930$	10.4315	−	30.4729i	0.342061	−	0.999245i
$931$	−19.5765	+	3.10062i	−0.641595	+	0.101619i
$932$	24.6826	−	12.8087i	0.808506	−	0.419563i
$933$	62.5440	+	9.90600i	2.04760	+	0.324308i
$934$	−0.435236	+	5.80635i	−0.0142414	+	0.189990i
$935$	−3.10012	−	3.77552i	−0.101385	−	0.123473i
$936$	31.7278	−	37.9994i	1.03706	−	1.24205i
$937$	28.5759	+	9.28486i	0.933533	+	0.303323i	0.736007	−	0.676974i	$-0.236709\pi$
$937$	28.5759	+	9.28486i	0.933533	+	0.303323i	0.197526	+	0.980298i	$0.436709\pi$
$938$	−18.9705	+	1.56406i	−0.619407	+	0.0510683i
$939$	−17.6443	−	12.8193i	−0.575800	−	0.418343i
$940$	−19.5987	+	16.3384i	−0.639239	+	0.532899i
$941$	−41.2840	−	13.4140i	−1.34582	−	0.437284i	−0.454536	−	0.890728i	$-0.650195\pi$
$941$	−41.2840	−	13.4140i	−1.34582	−	0.437284i	−0.891285	+	0.453444i	$0.850195\pi$
$942$	−54.2399	−	63.0304i	−1.76723	−	2.05364i
$943$	−7.24778	−	21.2534i	−0.236020	−	0.692106i
$944$	48.8058	+	15.0586i	1.58849	+	0.490117i
$945$	21.5907	+	36.8156i	0.702347	+	1.19761i
$946$	−2.78148	−	3.23226i	−0.0904336	−	0.105090i
$947$	−0.433985	−	2.74007i	−0.0141026	−	0.0890404i	0.979633	−	0.200796i	$-0.0643527\pi$
$947$	−0.433985	−	2.74007i	−0.0141026	−	0.0890404i	−0.993736	+	0.111755i	$0.964353\pi$
$948$	30.6705	−	0.228262i	0.996130	−	0.00741359i
$949$	−5.77688	+	2.94347i	−0.187525	+	0.0955489i
$950$	23.6515	−	8.83948i	0.767355	−	0.286791i
$951$	12.5740	−	9.13556i	0.407740	−	0.296241i
$952$	1.92109	−	1.20695i	0.0622630	−	0.0391175i
$953$	0.784452	+	0.124245i	0.0254109	+	0.00402469i	0.169127	−	0.985594i	$-0.445905\pi$
$953$	0.784452	+	0.124245i	0.0254109	+	0.00402469i	−0.143716	+	0.989619i	$0.545905\pi$
$954$	−7.93503	+	33.6021i	−0.256906	+	1.08791i
$955$	−14.5107	+	22.6808i	−0.469555	+	0.733933i
$956$	0.657774	+	1.97430i	0.0212739	+	0.0638535i
$957$		−	110.470i		−	3.57099i
$958$	8.89963	−	10.4990i	0.287534	−	0.339207i
$959$	2.14582	+	6.60414i	0.0692920	+	0.213259i
$960$	−30.5969	+	50.2617i	−0.987510	+	1.62219i
$961$	6.61671	−	20.3641i	0.213442	−	0.656907i
$962$	−16.6766	+	4.06940i	−0.537677	+	0.131203i
$963$	−50.9468	+	99.9887i	−1.64174	+	3.22209i
$964$	−6.64731	−	40.0386i	−0.214095	−	1.28956i
$965$	47.2058	+	20.6338i	1.51961	+	0.664224i
$966$	−18.1722	−	7.44808i	−0.584682	−	0.239638i
$967$	35.4037	−	25.7223i	1.13851	−	0.827173i	0.151596	−	0.988443i	$-0.451559\pi$
$967$	35.4037	−	25.7223i	1.13851	−	0.827173i	0.986910	+	0.161269i	$0.0515588\pi$
$968$	−0.451401	+	0.540629i	−0.0145086	+	0.0173765i
$969$	1.22429	+	7.72988i	0.0393300	+	0.248320i
$970$	51.3916	+	0.804683i	1.65008	+	0.0258368i
$971$	−1.62120	−	3.18179i	−0.0520269	−	0.102109i	0.863529	−	0.504299i	$-0.168249\pi$
$971$	−1.62120	−	3.18179i	−0.0520269	−	0.102109i	−0.915556	+	0.402190i	$0.868249\pi$
$972$	65.7141	−	66.6996i	2.10778	−	2.13939i
$973$	−10.9661	−	15.0935i	−0.351556	−	0.483875i
$974$	−23.7752	+	14.6914i	−0.761806	+	0.470743i
$975$	36.5528	−	4.34538i	1.17063	−	0.139164i
$976$	−0.843931	−	2.47156i	−0.0270136	−	0.0791127i
$977$	−9.54591	−	29.3793i	−0.305401	−	0.939926i	−0.979527	−	0.201311i	$-0.935480\pi$
$977$	−9.54591	−	29.3793i	−0.305401	−	0.939926i	0.674127	−	0.738616i	$-0.264520\pi$
$978$	20.5324	−	50.0961i	0.656554	−	1.60190i
$979$	0.0259359	−	0.0356977i	0.000828916	−	0.00114090i
$980$	24.7686	−	1.65214i	0.791205	−	0.0527758i
$981$	10.2163	+	10.2163i	0.326181	+	0.326181i
$982$	8.65423	+	20.6752i	0.276167	+	0.659772i
$983$	12.7616	−	12.7616i	0.407032	−	0.407032i	−0.473670	−	0.880702i	$-0.657071\pi$
$983$	12.7616	−	12.7616i	0.407032	−	0.407032i	0.880702	+	0.473670i	$0.157071\pi$
$984$	−29.8137	+	51.5763i	−0.950426	+	1.64419i
$985$	1.47032	+	24.8234i	0.0468484	+	0.790940i
$986$	−8.93050	−	3.66026i	−0.284405	−	0.116567i
$987$			22.5933i			0.719152i
$988$	−15.9833	+	0.118954i	−0.508497	+	0.00378444i
$989$	2.60909	+	1.89562i	0.0829644	+	0.0602771i
$990$	72.8134	−	35.6755i	2.31416	−	1.13384i
$991$	30.2050	+	15.3902i	0.959493	+	0.488886i	0.862310	−	0.506381i	$-0.169017\pi$
$991$	30.2050	+	15.3902i	0.959493	+	0.488886i	0.0971827	+	0.995267i	$0.469017\pi$
$992$	8.87268	−	15.1026i	0.281708	−	0.479508i
$993$	−8.05408	+	8.05408i	−0.255588	+	0.255588i
$994$	4.20420	+	6.80368i	0.133349	+	0.215800i
$995$	3.31818	−	2.72459i	0.105193	−	0.0863753i
$996$	0.519450	+	69.7960i	0.0164594	+	2.21157i
$997$	1.94646	−	5.99060i	0.0616452	−	0.189724i	−0.915491	−	0.402338i	$-0.868198\pi$
$997$	1.94646	−	5.99060i	0.0616452	−	0.189724i	0.977136	+	0.212614i	$0.0681976\pi$
$998$	0.665530	−	8.87863i	0.0210670	−	0.281048i
$999$	−84.9284	+	13.4513i	−2.68702	+	0.425581i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	820.2.bv.c.103.16	yes	960
4.3	odd	2	inner	820.2.bv.c.103.21	yes	960
5.2	odd	4		820.2.bk.c.267.47	yes	960
20.7	even	4		820.2.bk.c.267.40	yes	960
41.2	even	20		820.2.bk.c.43.40	✓	960
164.43	odd	20		820.2.bk.c.43.47	yes	960
205.2	odd	20	inner	820.2.bv.c.207.21	yes	960
820.207	even	20	inner	820.2.bv.c.207.16	yes	960

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
820.2.bk.c.43.40	✓	960	41.2	even	20
820.2.bk.c.43.47	yes	960	164.43	odd	20
820.2.bk.c.267.40	yes	960	20.7	even	4
820.2.bk.c.267.47	yes	960	5.2	odd	4
820.2.bv.c.103.16	yes	960	1.1	even	1	trivial
820.2.bv.c.103.21	yes	960	4.3	odd	2	inner
820.2.bv.c.207.16	yes	960	820.207	even	20	inner
820.2.bv.c.207.21	yes	960	205.2	odd	20	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:	\( N \)	\(=\)	\( 820 = 2^{2} \cdot 5 \cdot 41 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	820.bv (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.30454 + 0.546054i) q^{2} +3.28938 q^{3} +(1.40365 - 1.42470i) q^{4} +(-0.479772 - 2.18399i) q^{5} +(-4.29113 + 1.79618i) q^{6} +(-1.14493 + 0.372010i) q^{7} +(-1.05315 + 2.62505i) q^{8} +7.82003 q^{9} +(1.81846 + 2.58712i) q^{10} +(0.512928 - 3.23850i) q^{11} +(4.61714 - 4.68638i) q^{12} +(-2.12858 - 0.691618i) q^{13} +(1.29047 - 1.11050i) q^{14} +(-1.57815 - 7.18398i) q^{15} +(-0.0595359 - 3.99956i) q^{16} +(0.391645 + 0.539053i) q^{17} +(-10.2015 + 4.27016i) q^{18} +(3.18160 + 1.62111i) q^{19} +(-3.78496 - 2.38203i) q^{20} +(-3.76611 + 1.22368i) q^{21} +(1.09926 + 4.50484i) q^{22} +(-1.59211 - 3.12469i) q^{23} +(-3.46422 + 8.63478i) q^{24} +(-4.53964 + 2.09563i) q^{25} +(3.15448 - 0.260077i) q^{26} +15.8549 q^{27} +(-1.07708 + 2.15335i) q^{28} +(10.1164 - 1.60228i) q^{29} +(5.98160 + 8.51003i) q^{30} +(-1.82004 - 2.50507i) q^{31} +(2.26164 + 5.18507i) q^{32} +(1.68722 - 10.6527i) q^{33} +(-0.805269 - 0.489357i) q^{34} +(1.36177 + 2.32204i) q^{35} +(10.9766 - 11.1412i) q^{36} +(-5.35660 + 0.848402i) q^{37} +(-5.03574 - 0.377472i) q^{38} +(-7.00171 - 2.27500i) q^{39} +(6.23835 + 1.04066i) q^{40} +(6.33814 + 0.909921i) q^{41} +(4.24484 - 3.65284i) q^{42} +(-0.819384 + 0.417497i) q^{43} +(-3.89392 - 5.27649i) q^{44} +(-3.75183 - 17.0789i) q^{45} +(3.78321 + 3.20690i) q^{46} +(1.76309 - 5.42624i) q^{47} +(-0.195836 - 13.1561i) q^{48} +(-4.49065 + 3.26265i) q^{49} +(4.77781 - 5.21273i) q^{50} +(1.28827 + 1.77315i) q^{51} +(-3.97313 + 2.06180i) q^{52} +(1.83504 - 2.52572i) q^{53} +(-20.6833 + 8.65763i) q^{54} +(-7.31895 + 0.433510i) q^{55} +(0.229243 - 3.39728i) q^{56} +(10.4655 + 5.33244i) q^{57} +(-12.3223 + 7.61434i) q^{58} +(-3.94585 + 12.1441i) q^{59} +(-12.4502 - 7.83540i) q^{60} +(0.620962 - 0.201763i) q^{61} +(3.74221 + 2.27412i) q^{62} +(-8.95338 + 2.90913i) q^{63} +(-5.78173 - 5.52916i) q^{64} +(-0.489255 + 4.98062i) q^{65} +(3.61589 + 14.8181i) q^{66} +(-9.04522 - 6.57174i) q^{67} +(1.31772 + 0.198665i) q^{68} +(-5.23705 - 10.2783i) q^{69} +(-3.04444 - 2.28559i) q^{70} +(-0.734882 + 4.63986i) q^{71} +(-8.23569 + 20.5279i) q^{72} +(2.04839 - 2.04839i) q^{73} +(6.52463 - 4.03177i) q^{74} +(-14.9326 + 6.89334i) q^{75} +(6.77544 - 2.25736i) q^{76} +(0.617489 + 3.89867i) q^{77} +(10.3763 - 0.855494i) q^{78} +(3.29665 + 3.29665i) q^{79} +(-8.70643 + 2.04890i) q^{80} +28.6927 q^{81} +(-8.76523 + 2.27394i) q^{82} +(-7.50211 + 7.50211i) q^{83} +(-3.54292 + 7.08319i) q^{84} +(0.989387 - 1.11397i) q^{85} +(0.840943 - 0.992070i) q^{86} +(33.2767 - 5.27051i) q^{87} +(7.96102 + 4.75710i) q^{88} +(0.0119906 + 0.00610950i) q^{89} +(14.2204 + 20.2314i) q^{90} +2.69436 q^{91} +(-6.68650 - 2.11769i) q^{92} +(-5.98679 - 8.24012i) q^{93} +(0.662997 + 8.04149i) q^{94} +(2.01404 - 7.72635i) q^{95} +(7.43940 + 17.0557i) q^{96} +(9.55353 - 13.1493i) q^{97} +(4.07665 - 6.70839i) q^{98} +(4.01111 - 25.3252i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 960 q - 10 q^{2} - 20 q^{5} - 16 q^{6} + 2 q^{8} + 960 q^{9} - 60 q^{10} - 40 q^{12} - 20 q^{13} - 8 q^{14} - 28 q^{16} - 20 q^{17} - 48 q^{18} - 34 q^{20} - 40 q^{21} - 10 q^{22} - 48 q^{24} - 4 q^{25}+ \cdots - 38 q^{98}+O(q^{100}) \) 960 * q - 10 * q^2 - 20 * q^5 - 16 * q^6 + 2 * q^8 + 960 * q^9 - 60 * q^10 - 40 * q^12 - 20 * q^13 - 8 * q^14 - 28 * q^16 - 20 * q^17 - 48 * q^18 - 34 * q^20 - 40 * q^21 - 10 * q^22 - 48 * q^24 - 4 * q^25 - 20 * q^26 - 10 * q^28 - 10 * q^30 - 56 * q^33 - 20 * q^34 - 100 * q^36 + 88 * q^37 - 16 * q^40 - 24 * q^41 - 104 * q^42 - 100 * q^45 - 20 * q^46 - 40 * q^48 + 224 * q^49 - 12 * q^50 - 38 * q^52 - 20 * q^53 - 52 * q^54 + 96 * q^56 - 72 * q^57 - 38 * q^58 - 14 * q^60 - 40 * q^61 - 10 * q^62 - 120 * q^64 - 60 * q^65 - 12 * q^66 - 116 * q^68 - 104 * q^69 - 96 * q^70 - 24 * q^72 - 72 * q^73 - 28 * q^74 - 40 * q^76 - 76 * q^77 - 44 * q^78 - 90 * q^80 + 592 * q^81 - 130 * q^82 - 92 * q^84 - 64 * q^85 - 12 * q^86 - 104 * q^88 + 136 * q^89 - 364 * q^90 - 220 * q^92 - 32 * q^94 - 44 * q^96 + 80 * q^97 - 38 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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