LMFDB - Embedded newform 820.2.bk.c.267.47

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [820,2,Mod(43,820)] 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, 13])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("820.43"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 820 = 2^{2} \cdot 5 \cdot 41 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	820.bk (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			267.47
Character	$\chi$	$=$	820.267
Dual form			820.2.bk.c.43.47

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.546054 - 1.30454i) q^{2} -3.28938i q^{3} +(-1.40365 + 1.42470i) q^{4} +(2.22536 - 0.218601i) q^{5} +(-4.29113 + 1.79618i) q^{6} +(-0.372010 - 1.14493i) q^{7} +(2.62505 + 1.05315i) q^{8} -7.82003 q^{9} +(-1.50034 - 2.78370i) q^{10} +(0.512928 - 3.23850i) q^{11} +(4.68638 + 4.61714i) q^{12} +(-0.691618 + 2.12858i) q^{13} +(-1.29047 + 1.11050i) q^{14} +(-0.719060 - 7.32005i) q^{15} +(-0.0595359 - 3.99956i) q^{16} +(-0.539053 + 0.391645i) q^{17} +(4.27016 + 10.2015i) q^{18} +(-3.18160 - 1.62111i) q^{19} +(-2.81218 + 3.47730i) q^{20} +(-3.76611 + 1.22368i) q^{21} +(-4.50484 + 1.09926i) q^{22} +(-3.12469 + 1.59211i) q^{23} +(3.46422 - 8.63478i) q^{24} +(4.90443 - 0.972929i) q^{25} +(3.15448 - 0.260077i) q^{26} +15.8549i q^{27} +(2.15335 + 1.07708i) q^{28} +(-10.1164 + 1.60228i) q^{29} +(-9.15665 + 4.93519i) q^{30} +(-1.82004 - 2.50507i) q^{31} +(-5.18507 + 2.26164i) q^{32} +(-10.6527 - 1.68722i) q^{33} +(0.805269 + 0.489357i) q^{34} +(-1.07814 - 2.46655i) q^{35} +(10.9766 - 11.1412i) q^{36} +(-0.848402 - 5.35660i) q^{37} +(-0.377472 + 5.03574i) q^{38} +(7.00171 + 2.27500i) q^{39} +(6.07188 + 1.76981i) q^{40} +(6.33814 + 0.909921i) q^{41} +(3.65284 + 4.24484i) q^{42} +(0.417497 + 0.819384i) q^{43} +(3.89392 + 5.27649i) q^{44} +(-17.4023 + 1.70946i) q^{45} +(3.78321 + 3.20690i) q^{46} +(5.42624 + 1.76309i) q^{47} +(-13.1561 + 0.195836i) q^{48} +(4.49065 - 3.26265i) q^{49} +(-3.94731 - 5.86675i) q^{50} +(1.28827 + 1.77315i) q^{51} +(-2.06180 - 3.97313i) q^{52} +(-2.52572 - 1.83504i) q^{53} +(20.6833 - 8.65763i) q^{54} +(0.433510 - 7.31895i) q^{55} +(0.229243 - 3.39728i) q^{56} +(-5.33244 + 10.4655i) q^{57} +(7.61434 + 12.3223i) q^{58} +(3.94585 - 12.1441i) q^{59} +(11.4382 + 9.25033i) q^{60} +(0.620962 - 0.201763i) q^{61} +(-2.27412 + 3.74221i) q^{62} +(2.90913 + 8.95338i) q^{63} +(5.78173 + 5.52916i) q^{64} +(-1.07379 + 4.88804i) q^{65} +(3.61589 + 14.8181i) q^{66} +(6.57174 - 9.04522i) q^{67} +(0.198665 - 1.31772i) q^{68} +(5.23705 + 10.2783i) q^{69} +(-2.62900 + 2.75335i) q^{70} +(-0.734882 + 4.63986i) q^{71} +(-20.5279 - 8.23569i) q^{72} +(-2.04839 - 2.04839i) q^{73} +(-6.52463 + 4.03177i) q^{74} +(-3.20033 - 16.1325i) q^{75} +(6.77544 - 2.25736i) q^{76} +(-3.89867 + 0.617489i) q^{77} +(-0.855494 - 10.3763i) q^{78} +(-3.29665 - 3.29665i) q^{79} +(-1.00679 - 8.88743i) q^{80} +28.6927 q^{81} +(-2.27394 - 8.76523i) q^{82} +(7.50211 + 7.50211i) q^{83} +(3.54292 - 7.08319i) q^{84} +(-1.11397 + 0.989387i) q^{85} +(0.840943 - 0.992070i) q^{86} +(5.27051 + 33.2767i) q^{87} +(4.75710 - 7.96102i) q^{88} +(-0.0119906 - 0.00610950i) q^{89} +(11.7327 + 21.7686i) q^{90} +2.69436 q^{91} +(2.11769 - 6.68650i) q^{92} +(-8.24012 + 5.98679i) q^{93} +(-0.662997 - 8.04149i) q^{94} +(-7.43457 - 2.91204i) q^{95} +(7.43940 + 17.0557i) q^{96} +(13.1493 + 9.55353i) q^{97} +(-6.70839 - 4.07665i) 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} - 22 q^{8} - 960 q^{9} + 20 q^{12} + 12 q^{13} + 8 q^{14} - 28 q^{16} - 52 q^{17} + 12 q^{18} + 14 q^{20} - 40 q^{21} + 18 q^{22} + 48 q^{24} - 4 q^{25} - 20 q^{26}+ \cdots + 42 q^{98}+O(q^{100}) $ 960 * q - 10 * q^2 - 20 * q^5 - 16 * q^6 - 22 * q^8 - 960 * q^9 + 20 * q^12 + 12 * q^13 + 8 * q^14 - 28 * q^16 - 52 * q^17 + 12 * q^18 + 14 * q^20 - 40 * q^21 + 18 * q^22 + 48 * q^24 - 4 * q^25 - 20 * q^26 - 2 * q^28 + 30 * q^30 + 16 * q^33 + 20 * q^34 - 100 * q^36 - 112 * q^37 - 36 * q^38 - 16 * q^40 - 24 * q^41 - 104 * q^42 + 20 * q^45 - 20 * q^46 + 12 * q^48 - 224 * q^49 + 12 * q^50 + 190 * q^52 + 12 * q^53 + 52 * q^54 + 96 * q^56 + 48 * q^57 - 10 * q^58 + 14 * q^60 - 40 * q^61 - 10 * q^62 + 120 * q^64 - 92 * q^65 - 12 * q^66 + 104 * q^69 - 120 * q^70 + 36 * q^72 + 72 * q^73 + 28 * q^74 - 40 * q^76 + 36 * q^77 + 16 * q^78 - 130 * q^80 + 592 * q^81 + 146 * q^82 + 92 * q^84 + 112 * q^85 - 12 * q^86 + 100 * q^88 - 136 * q^89 - 136 * q^90 + 160 * q^92 - 24 * q^93 + 32 * q^94 - 44 * q^96 - 72 * q^97 + 42 * q^98

Character values

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

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

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 $

$2$	−0.546054	−	1.30454i	−0.386119	−	0.922449i
$2$	−0.546054	−	1.30454i	−0.386119	−	0.922449i
$3$		−	3.28938i		−	1.89912i	−0.313578	−	0.949562i	$-0.601528\pi$
$3$		−	3.28938i		−	1.89912i	0.313578	−	0.949562i	$-0.398472\pi$
$4$	−1.40365	+	1.42470i	−0.701825	+	0.712350i
$5$	2.22536	−	0.218601i	0.995210	−	0.0977611i
$5$	2.22536	−	0.218601i	0.995210	−	0.0977611i
$6$	−4.29113	+	1.79618i	−1.75185	+	0.733288i
$7$	−0.372010	−	1.14493i	−0.140607	−	0.432743i	0.855813	−	0.517285i	$-0.173057\pi$
$7$	−0.372010	−	1.14493i	−0.140607	−	0.432743i	−0.996420	+	0.0845422i	$0.973057\pi$
$8$	2.62505	+	1.05315i	0.928094	+	0.372346i
$9$	−7.82003			−2.60668
$10$	−1.50034	−	2.78370i	−0.474449	−	0.880283i
$11$	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	$-0.114579\pi$
$12$	4.68638	+	4.61714i	1.35284	+	1.33285i
$13$	−0.691618	+	2.12858i	−0.191820	+	0.590362i	0.808179	+	0.588937i	$0.200454\pi$
$13$	−0.691618	+	2.12858i	−0.191820	+	0.590362i	−0.999999	+	0.00142488i	$0.999546\pi$
$14$	−1.29047	+	1.11050i	−0.344892	+	0.296792i
$15$	−0.719060	−	7.32005i	−0.185661	−	1.89003i
$16$	−0.0595359	−	3.99956i	−0.0148840	−	0.999889i
$17$	−0.539053	+	0.391645i	−0.130740	+	0.0949879i	−0.651233	−	0.758878i	$-0.725748\pi$
$17$	−0.539053	+	0.391645i	−0.130740	+	0.0949879i	0.520494	+	0.853866i	$0.325748\pi$
$18$	4.27016	+	10.2015i	1.00649	+	2.40453i
$19$	−3.18160	−	1.62111i	−0.729909	−	0.371907i	0.0492055	−	0.998789i	$-0.484331\pi$
$19$	−3.18160	−	1.62111i	−0.729909	−	0.371907i	−0.779115	+	0.626881i	$0.784331\pi$
$20$	−2.81218	+	3.47730i	−0.628823	+	0.777549i
$21$	−3.76611	+	1.22368i	−0.821832	+	0.267029i
$22$	−4.50484	+	1.09926i	−0.960436	+	0.234363i
$23$	−3.12469	+	1.59211i	−0.651542	+	0.331977i	−0.748329	−	0.663328i	$-0.769143\pi$
$23$	−3.12469	+	1.59211i	−0.651542	+	0.331977i	0.0967869	+	0.995305i	$0.469143\pi$
$24$	3.46422	−	8.63478i	0.707132	−	1.76257i
$25$	4.90443	−	0.972929i	0.980886	−	0.194586i
$26$	3.15448	−	0.260077i	0.618645	−	0.0510054i
$27$			15.8549i			3.05128i
$28$	2.15335	+	1.07708i	0.406945	+	0.203548i
$29$	−10.1164	+	1.60228i	−1.87857	+	0.297536i	−0.987656	−	0.156641i	$-0.949934\pi$
$29$	−10.1164	+	1.60228i	−1.87857	+	0.297536i	−0.890912	+	0.454176i	$0.849934\pi$
$30$	−9.15665	+	4.93519i	−1.67177	+	0.901037i
$31$	−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	$0.889694\pi$
$32$	−5.18507	+	2.26164i	−0.916600	+	0.399806i
$33$	−10.6527	−	1.68722i	−1.85439	−	0.293707i
$34$	0.805269	+	0.489357i	0.138102	+	0.0839240i
$35$	−1.07814	−	2.46655i	−0.182238	−	0.416924i
$36$	10.9766	−	11.1412i	1.82943	−	1.85686i
$37$	−0.848402	−	5.35660i	−0.139477	−	0.880620i	−0.953851	−	0.300280i	$-0.902920\pi$
$37$	−0.848402	−	5.35660i	−0.139477	−	0.880620i	0.814374	−	0.580340i	$-0.197080\pi$
$38$	−0.377472	+	5.03574i	−0.0612340	+	0.816905i
$39$	7.00171	+	2.27500i	1.12117	+	0.364291i
$40$	6.07188	+	1.76981i	0.960049	+	0.279831i
$41$	6.33814	+	0.909921i	0.989851	+	0.142106i
$41$	6.33814	+	0.909921i	0.989851	+	0.142106i
$42$	3.65284	+	4.24484i	0.563646	+	0.654993i
$43$	0.417497	+	0.819384i	0.0636677	+	0.124955i	0.920647	−	0.390396i	$-0.127662\pi$
$43$	0.417497	+	0.819384i	0.0636677	+	0.124955i	−0.856980	+	0.515350i	$0.827662\pi$
$44$	3.89392	+	5.27649i	0.587031	+	0.795461i
$45$	−17.4023	+	1.70946i	−2.59419	+	0.254832i
$46$	3.78321	+	3.20690i	0.557805	+	0.472832i
$47$	5.42624	+	1.76309i	0.791498	+	0.257173i	0.676742	−	0.736220i	$-0.263391\pi$
$47$	5.42624	+	1.76309i	0.791498	+	0.257173i	0.114756	+	0.993394i	$0.463391\pi$
$48$	−13.1561	+	0.195836i	−1.89891	+	0.0282665i
$49$	4.49065	−	3.26265i	0.641521	−	0.466092i
$50$	−3.94731	−	5.86675i	−0.558234	−	0.829684i
$51$	1.28827	+	1.77315i	0.180394	+	0.248291i
$52$	−2.06180	−	3.97313i	−0.285920	−	0.550974i
$53$	−2.52572	−	1.83504i	−0.346934	−	0.252062i	0.400648	−	0.916232i	$-0.368785\pi$
$53$	−2.52572	−	1.83504i	−0.346934	−	0.252062i	−0.747582	+	0.664170i	$0.768785\pi$
$54$	20.6833	−	8.65763i	2.81465	−	1.17815i
$55$	0.433510	−	7.31895i	0.0584545	−	0.986887i
$56$	0.229243	−	3.39728i	0.0306339	−	0.453980i
$57$	−5.33244	+	10.4655i	−0.706299	+	1.38619i
$58$	7.61434	+	12.3223i	0.999812	+	1.61800i
$59$	3.94585	−	12.1441i	0.513705	−	1.58102i	−0.271920	−	0.962320i	$-0.587659\pi$
$59$	3.94585	−	12.1441i	0.513705	−	1.58102i	0.785625	−	0.618703i	$-0.212341\pi$
$60$	11.4382	+	9.25033i	1.47666	+	1.19421i
$61$	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	$0.386691\pi$
$62$	−2.27412	+	3.74221i	−0.288814	+	0.475262i
$63$	2.90913	+	8.95338i	0.366516	+	1.12802i
$64$	5.78173	+	5.52916i	0.722717	+	0.691144i
$65$	−1.07379	+	4.88804i	−0.133187	+	0.606287i
$66$	3.61589	+	14.8181i	0.445086	+	1.82399i
$67$	6.57174	−	9.04522i	0.802866	−	1.10505i	−0.189520	−	0.981877i	$-0.560693\pi$
$67$	6.57174	−	9.04522i	0.802866	−	1.10505i	0.992385	−	0.123173i	$-0.0393069\pi$
$68$	0.198665	−	1.31772i	0.0240917	−	0.159797i
$69$	5.23705	+	10.2783i	0.630466	+	1.23736i
$70$	−2.62900	+	2.75335i	−0.314225	+	0.329088i
$71$	−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	$0.960078\pi$
$72$	−20.5279	−	8.23569i	−2.41924	−	0.970586i
$73$	−2.04839	−	2.04839i	−0.239746	−	0.239746i	0.576999	−	0.816745i	$-0.304224\pi$
$73$	−2.04839	−	2.04839i	−0.239746	−	0.239746i	−0.816745	+	0.576999i	$0.804224\pi$
$74$	−6.52463	+	4.03177i	−0.758473	+	0.468684i
$75$	−3.20033	−	16.1325i	−0.369543	−	1.86282i
$76$	6.77544	−	2.25736i	0.777197	−	0.258937i
$77$	−3.89867	+	0.617489i	−0.444295	+	0.0703694i
$78$	−0.855494	−	10.3763i	−0.0968656	−	1.17488i
$79$	−3.29665	−	3.29665i	−0.370902	−	0.370902i	0.496903	−	0.867806i	$-0.334470\pi$
$79$	−3.29665	−	3.29665i	−0.370902	−	0.370902i	−0.867806	+	0.496903i	$0.834470\pi$
$80$	−1.00679	−	8.88743i	−0.112563	−	0.993645i
$81$	28.6927			3.18808
$82$	−2.27394	−	8.76523i	−0.251115	−	0.967957i
$83$	7.50211	+	7.50211i	0.823464	+	0.823464i	0.986603	−	0.163139i	$-0.0521619\pi$
$83$	7.50211	+	7.50211i	0.823464	+	0.823464i	−0.163139	+	0.986603i	$0.552162\pi$
$84$	3.54292	−	7.08319i	0.386564	−	0.772840i
$85$	−1.11397	+	0.989387i	−0.120827	+	0.107314i
$86$	0.840943	−	0.992070i	0.0906813	−	0.106978i
$87$	5.27051	+	33.2767i	0.565058	+	3.56763i
$88$	4.75710	−	7.96102i	0.507109	−	0.848648i
$89$	−0.0119906	−	0.00610950i	−0.00127100	−	0.000647605i	0.453355	−	0.891330i	$-0.350227\pi$
$89$	−0.0119906	−	0.00610950i	−0.00127100	−	0.000647605i	−0.454626	+	0.890682i	$0.650227\pi$
$90$	11.7327	+	21.7686i	1.23673	+	2.29461i
$91$	2.69436			0.282446
$92$	2.11769	−	6.68650i	0.220784	−	0.697115i
$93$	−8.24012	+	5.98679i	−0.854460	+	0.620802i
$94$	−0.662997	−	8.04149i	−0.0683829	−	0.829416i
$95$	−7.43457	−	2.91204i	−0.762771	−	0.298769i
$96$	7.43940	+	17.0557i	0.759281	+	1.74074i
$97$	13.1493	+	9.55353i	1.33511	+	0.970014i	0.999609	+	0.0279747i	$0.00890579\pi$
$97$	13.1493	+	9.55353i	1.33511	+	0.970014i	0.335502	+	0.942040i	$0.391094\pi$
$98$	−6.70839	−	4.07665i	−0.677650	−	0.411804i
$99$	−4.01111	+	25.3252i	−0.403132	+	2.54528i
$100$	−5.49797	+	8.35299i	−0.549797	+	0.835299i
$101$	−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	$0.703578\pi$
$102$	1.60968	−	2.64884i	0.159382	−	0.262274i
$103$	15.5199	+	7.90780i	1.52922	+	0.779178i	0.997695	−	0.0678617i	$-0.0216177\pi$
$103$	15.5199	+	7.90780i	1.52922	+	0.779178i	0.531529	+	0.847040i	$0.321618\pi$
$104$	−4.05725	+	4.85924i	−0.397846	+	0.476488i
$105$	−8.11344	+	3.54640i	−0.791790	+	0.346094i
$106$	−1.01471	+	4.29693i	−0.0985570	+	0.417355i
$107$	−12.7862	−	6.51491i	−1.23609	−	0.629821i	−0.291031	−	0.956714i	$-0.593998\pi$
$107$	−12.7862	−	6.51491i	−1.23609	−	0.629821i	−0.945061	+	0.326893i	$0.893998\pi$
$108$	−22.5885	−	22.2547i	−2.17358	−	2.14146i
$109$	−1.30643	−	1.30643i	−0.125133	−	0.125133i	0.641767	−	0.766900i	$-0.278202\pi$
$109$	−1.30643	−	1.30643i	−0.125133	−	0.125133i	−0.766900	+	0.641767i	$0.778202\pi$
$110$	−9.78458	+	3.43101i	−0.932923	+	0.327134i
$111$	−17.6199	+	2.79072i	−1.67241	+	0.264883i
$112$	−4.55706	+	1.55604i	−0.430602	+	0.147032i
$113$	2.08269	−	13.1496i	0.195923	−	1.23701i	−0.672090	−	0.740470i	$-0.734603\pi$
$113$	2.08269	−	13.1496i	0.195923	−	1.23701i	0.868013	−	0.496541i	$-0.165397\pi$
$114$	16.5645	+	1.24165i	1.55140	+	0.116291i
$115$	−6.60551	+	4.22606i	−0.615967	+	0.394082i
$116$	11.9171	−	16.6619i	1.10648	−	1.54701i
$117$	5.40847	−	16.6456i	0.500013	−	1.53888i
$118$	−17.9971	+	1.48380i	−1.65676	+	0.136595i
$119$	0.648939	+	0.471482i	0.0594881	+	0.0432207i
$120$	5.82157	−	19.9727i	0.531434	−	1.82325i
$121$	0.236821	+	0.0769480i	0.0215292	+	0.00699527i
$122$	−0.602286	−	0.699896i	−0.0545284	−	0.0633656i
$123$	2.99308	−	20.8486i	0.269877	−	1.87985i
$124$	6.12366	+	0.923230i	0.549921	+	0.0829085i
$125$	10.7014	−	3.23722i	0.957164	−	0.289546i
$126$	10.0915	−	8.68410i	0.899022	−	0.773641i
$127$	−18.5571	+	2.93916i	−1.64668	+	0.260808i	−0.909749	−	0.415160i	$-0.863726\pi$
$127$	−18.5571	+	2.93916i	−1.64668	+	0.260808i	−0.736931	+	0.675968i	$0.763726\pi$
$128$	4.05587	−	10.5617i	0.358491	−	0.933533i
$129$	2.69527	−	1.37331i	0.237305	−	0.120913i
$130$	6.96299	−	1.26834i	0.610695	−	0.111240i
$131$	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	$0.0721671\pi$
$132$	17.3564	−	12.8086i	1.51068	−	1.11484i
$133$	−0.672465	+	4.24578i	−0.0583101	+	0.368155i
$134$	−15.3884	−	3.63391i	−1.32935	−	0.313922i
$135$	3.46589	+	35.2828i	0.298296	+	3.03666i
$136$	−1.82750	+	0.460380i	−0.156707	+	0.0394773i
$137$	5.76817			0.492808			0.246404	−	0.969167i	$-0.420751\pi$
$137$	5.76817			0.492808			0.246404	+	0.969167i	$0.420751\pi$
$138$	10.5487	−	12.4444i	0.897966	−	1.05934i
$139$	−4.78897	−	14.7389i	−0.406195	−	1.25014i	−0.919893	−	0.392169i	$-0.871725\pi$
$139$	−4.78897	−	14.7389i	−0.406195	−	1.25014i	0.513698	−	0.857971i	$-0.328275\pi$
$140$	5.02743	+	1.92616i	0.424895	+	0.162790i
$141$	5.79948	−	17.8490i	0.488404	−	1.50315i
$142$	6.45417	−	1.57493i	0.541622	−	0.132165i
$143$	6.53867	+	3.33162i	0.546791	+	0.278604i
$144$	0.465572	+	31.2766i	0.0387977	+	2.60639i
$145$	−22.1623	+	5.77709i	−1.84048	+	0.479762i
$146$	−1.55368	+	3.79074i	−0.128583	+	0.313724i
$147$	−10.7321	−	14.7714i	−0.885168	−	1.21833i
$148$	8.82241	+	6.31007i	0.725197	+	0.518685i
$149$	−1.71620	−	10.8356i	−0.140596	−	0.887691i	−0.952641	−	0.304096i	$-0.901646\pi$
$149$	−1.71620	−	10.8356i	−0.140596	−	0.887691i	0.812045	−	0.583595i	$-0.198354\pi$
$150$	−19.2980	+	12.9842i	−1.57567	+	1.06016i
$151$	−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	$-0.390994\pi$
$152$	−6.64457	−	7.60620i	−0.538946	−	0.616944i
$153$	4.21541	−	3.06267i	0.340796	−	0.247603i
$154$	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
$157$	−17.0007	+	5.52386i	−1.35680	+	0.440852i	−0.894975	−	0.446117i	$-0.852807\pi$
$157$	−17.0007	+	5.52386i	−1.35680	+	0.440852i	−0.461829	+	0.886969i	$0.652807\pi$
$158$	−2.50046	+	6.10077i	−0.198926	+	0.485351i
$159$	−6.03615	+	8.30805i	−0.478698	+	0.658871i
$160$	−11.0442	+	6.16642i	−0.873124	+	0.487498i
$161$	2.98526	+	2.98526i	0.235272	+	0.235272i
$162$	−15.6678	−	37.4308i	−1.23098	−	2.94084i
$163$	8.22960	+	8.22960i	0.644592	+	0.644592i	0.951681	−	0.307089i	$-0.0993550\pi$
$163$	8.22960	+	8.22960i	0.644592	+	0.644592i	−0.307089	+	0.951681i	$0.599355\pi$
$164$	−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
$167$	−11.3541			−0.878609			−0.439304	−	0.898338i	$-0.644775\pi$
$167$	−11.3541			−0.878609			−0.439304	+	0.898338i	$0.644775\pi$
$168$	−11.1749	−	0.754069i	−0.862165	−	0.0581777i
$169$	6.46470	+	4.69688i	0.497284	+	0.361298i
$170$	1.89898	+	0.912962i	0.145645	+	0.0700210i
$171$	24.8802	+	12.6771i	1.90264	+	0.969442i
$172$	−1.75340	−	0.555320i	−0.133695	−	0.0423428i
$173$	−1.03076	−	1.03076i	−0.0783670	−	0.0783670i	0.666837	−	0.745204i	$-0.267648\pi$
$173$	−1.03076	−	1.03076i	−0.0783670	−	0.0783670i	−0.745204	+	0.666837i	$0.767648\pi$
$174$	40.5328	−	25.0465i	3.07278	−	1.89877i
$175$	−2.93843	−	5.25328i	−0.222124	−	0.397111i
$176$	−12.9831	−	1.85868i	−0.978639	−	0.140103i
$177$	−39.9465	−	12.9794i	−3.00256	−	0.975591i
$178$	−0.00142259	+	0.0189783i	−0.000106627	+	0.00142248i
$179$	−21.7885	+	3.45096i	−1.62855	+	0.257937i	−0.902812	−	0.430036i	$-0.858501\pi$
$179$	−21.7885	+	3.45096i	−1.62855	+	0.257937i	−0.725737	+	0.687973i	$0.758501\pi$
$180$	21.9913	−	27.1926i	1.63914	−	2.02682i
$181$	−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	$0.862729\pi$
$182$	−1.47127	−	3.51491i	−0.109058	−	0.260542i
$183$	−0.663674	−	2.04258i	−0.0490602	−	0.150992i
$184$	−9.87918	+	0.888578i	−0.728303	+	0.0655069i
$185$	−3.05895	−	11.7349i	−0.224899	−	0.862766i
$186$	12.3096	+	7.48045i	0.902581	+	0.548493i
$187$	0.991848	+	1.94661i	0.0725311	+	0.142350i
$188$	−10.1284	+	5.25600i	−0.738690	+	0.383333i
$189$	18.1527	−	5.89818i	1.32042	−	0.429030i
$190$	0.260805	+	11.2888i	0.0189208	+	0.818978i
$191$	−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	$0.893479\pi$
$192$	18.1875	−	19.0183i	1.31257	−	1.37253i
$193$	18.6395	+	13.5424i	1.34170	+	0.974803i	0.999380	+	0.0352197i	$0.0112131\pi$
$193$	18.6395	+	13.5424i	1.34170	+	0.974803i	0.342321	+	0.939583i	$0.388787\pi$
$194$	5.28273	−	22.3706i	0.379278	−	1.60611i
$195$	16.0786	+	3.53210i	1.15141	+	0.252939i
$196$	−1.65501	+	10.9774i	−0.118215	+	0.784102i
$197$	1.73968	−	10.9839i	0.123947	−	0.782572i	−0.844902	−	0.534921i	$-0.820341\pi$
$197$	1.73968	−	10.9839i	0.123947	−	0.782572i	0.968849	−	0.247651i	$-0.0796586\pi$
$198$	35.2280	−	8.59626i	2.50354	−	0.610909i
$199$	−0.871702	−	1.71081i	−0.0617933	−	0.121276i	0.858044	−	0.513576i	$-0.171680\pi$
$199$	−0.871702	−	1.71081i	−0.0617933	−	0.121276i	−0.919837	+	0.392300i	$0.871680\pi$
$200$	13.8990	+	2.61114i	0.982807	+	0.184635i
$201$	−29.7532	−	21.6169i	−2.09863	−	1.52474i
$202$	−0.355954	+	4.74868i	−0.0250448	+	0.334116i
$203$	5.59790	+	10.9865i	0.392895	+	0.771101i
$204$	−4.33449	−	0.653486i	−0.303475	−	0.0457532i
$205$	14.3035	+	0.639378i	0.999002	+	0.0446561i
$206$	1.84132	−	24.5645i	0.128291	−	1.71149i
$207$	24.4351	−	12.4503i	1.69836	−	0.865357i
$208$	8.55456	+	2.63944i	0.593152	+	0.183012i
$209$	−6.88189	+	9.47211i	−0.476030	+	0.655200i
$210$	9.05680	+	8.64778i	0.624979	+	0.596753i
$211$	−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	$0.511381\pi$
$212$	6.15961	−	1.02263i	0.423044	−	0.0702348i
$213$	15.2623	+	2.41731i	1.04575	+	0.165631i
$214$	−1.51699	+	20.2377i	−0.103699	+	1.38342i
$215$	1.10820	+	1.73216i	0.0755785	+	0.118132i
$216$	−16.6976	+	41.6198i	−1.13613	+	2.83187i
$217$	−2.19105	+	3.01572i	−0.148738	+	0.204721i
$218$	−0.990906	+	2.41767i	−0.0671127	+	0.163745i
$219$	−6.73794	+	6.73794i	−0.455308	+	0.455308i
$220$	9.81881	+	10.8909i	0.661984	+	0.734262i
$221$	−0.460829	−	1.41829i	−0.0309987	−	0.0954043i
$222$	13.2620	+	21.4620i	0.890089	+	1.44043i
$223$	16.0775	−	8.19188i	1.07663	−	0.548569i	0.176546	−	0.984292i	$-0.443508\pi$
$223$	16.0775	−	8.19188i	1.07663	−	0.548569i	0.900080	+	0.435724i	$0.143508\pi$
$224$	4.51832	+	5.09519i	0.301893	+	0.340437i
$225$	−38.3527	+	7.60833i	−2.55685	+	0.507222i
$226$	−18.2915	+	4.46344i	−1.21673	+	0.296904i
$227$	14.7561	−	4.79454i	0.979396	−	0.318225i	0.224793	−	0.974407i	$-0.427829\pi$
$227$	14.7561	−	4.79454i	0.979396	−	0.318225i	0.754603	+	0.656181i	$0.227829\pi$
$228$	−7.42531	−	22.2870i	−0.491753	−	1.47599i
$229$	13.0361	+	2.06472i	0.861450	+	0.136440i	0.571500	−	0.820602i	$-0.306362\pi$
$229$	13.0361	+	2.06472i	0.861450	+	0.136440i	0.289949	+	0.957042i	$0.406362\pi$
$230$	9.12003	+	6.30949i	0.601357	+	0.416035i
$231$	2.03116	+	12.8242i	0.133640	+	0.843771i
$232$	−28.2435	−	6.44806i	−1.85427	−	0.423336i
$233$	4.29660	−	13.2236i	0.281479	−	0.866305i	−0.705952	−	0.708259i	$-0.749481\pi$
$233$	4.29660	−	13.2236i	0.281479	−	0.866305i	0.987432	−	0.158045i	$-0.0505192\pi$
$234$	−24.6681	+	2.03381i	−1.61261	+	0.132954i
$235$	12.4607	+	2.73733i	0.812848	+	0.178564i
$236$	11.7631	+	22.6677i	0.765710	+	1.47554i
$237$	−10.8439	+	10.8439i	−0.704390	+	0.704390i
$238$	0.260711	−	1.10402i	0.0168994	−	0.0715631i
$239$	0.472376	−	0.927089i	0.0305554	−	0.0599684i	−0.875224	−	0.483718i	$-0.839286\pi$
$239$	0.472376	−	0.927089i	0.0305554	−	0.0599684i	0.905780	+	0.423749i	$0.139286\pi$
$240$	−29.2341	+	3.31173i	−1.88706	+	0.213771i
$241$	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	$-0.0267437\pi$
$242$	−0.0289357	−	0.350961i	−0.00186006	−	0.0225606i
$243$		−	46.8166i		−	3.00329i
$244$	−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
$248$	−2.13946	−	8.49269i	−0.135856	−	0.539287i
$249$	24.6773	−	24.6773i	1.56386	−	1.56386i
$250$	−10.0666	−	12.1927i	−0.636670	−	0.771136i
$251$	−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	$-0.658537\pi$
$252$	−16.8393	−	8.42277i	−1.06077	−	0.530585i
$253$	3.55330	+	10.9359i	0.223394	+	0.687536i
$254$	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
$257$	7.43807	+	10.2376i	0.463974	+	0.638606i	0.975327	−	0.220765i	$-0.0708554\pi$
$257$	7.43807	+	10.2376i	0.463974	+	0.638606i	−0.511353	+	0.859371i	$0.670855\pi$
$258$	−3.26330	−	2.76618i	−0.203164	−	0.172215i
$259$	−5.81732	+	2.96407i	−0.361470	+	0.184178i
$260$	−5.45677	−	8.39092i	−0.338414	−	0.520383i
$261$	79.1105	−	12.5299i	4.89681	−	0.775579i
$262$	−18.1536	−	11.0318i	−1.12153	−	0.681548i
$263$	−19.6331	+	14.2643i	−1.21063	+	0.879574i	−0.995288	−	0.0969642i	$-0.969087\pi$
$263$	−19.6331	+	14.2643i	−1.21063	+	0.879574i	−0.215342	+	0.976539i	$0.569087\pi$
$264$	−26.1868	−	15.6479i	−1.61169	−	0.963063i
$265$	−6.02177	−	3.53150i	−0.369914	−	0.216938i
$266$	5.90599	−	1.44117i	0.362119	−	0.0883636i
$267$	−0.0200965	+	0.0394415i	−0.00122988	+	0.00241378i
$268$	3.66230	+	22.0591i	0.223711	+	1.34747i
$269$	0.666358	+	0.216513i	0.0406285	+	0.0132010i	0.329261	−	0.944239i	$-0.393200\pi$
$269$	0.666358	+	0.216513i	0.0406285	+	0.0132010i	−0.288632	+	0.957440i	$0.593200\pi$
$270$	44.1353	−	23.7877i	2.68599	−	1.44767i
$271$	−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	$0.527215\pi$
$272$	1.59850	+	2.13266i	0.0969233	+	0.129311i
$273$		−	8.86279i		−	0.536400i
$274$	−3.14973	−	7.52480i	−0.190282	−	0.454590i
$275$	−0.635211	−	16.3820i	−0.0383047	−	0.987874i
$276$	−21.9944	−	6.96589i	−1.32391	−	0.419297i
$277$	16.6295	+	2.63386i	0.999172	+	0.158253i	0.634533	−	0.772896i	$-0.281193\pi$
$277$	16.6295	+	2.63386i	0.999172	+	0.158253i	0.364639	+	0.931149i	$0.381193\pi$
$278$	−16.6125	+	14.2957i	−0.996351	+	0.857396i
$279$	14.2327	+	19.5897i	0.852092	+	1.17280i
$280$	−0.232498	−	7.61026i	−0.0138944	−	0.454800i
$281$	−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	$0.992281\pi$
$282$	−26.4515	+	2.18085i	−1.57517	+	0.129868i
$283$	1.89380	+	11.9570i	0.112575	+	0.710767i	0.977824	+	0.209427i	$0.0671597\pi$
$283$	1.89380	+	11.9570i	0.112575	+	0.710767i	−0.865250	+	0.501341i	$0.832840\pi$
$284$	−5.57889	−	7.55973i	−0.331046	−	0.448587i
$285$	−9.57881	+	24.4551i	−0.567400	+	1.44860i
$286$	0.775761	−	10.3492i	0.0458717	−	0.611961i
$287$	−1.31606	−	7.59522i	−0.0776844	−	0.448332i
$288$	40.5474	−	17.6861i	2.38928	−	1.04216i
$289$	−5.11610	+	15.7457i	−0.300947	+	0.926219i
$290$	19.6383	+	25.7570i	1.15320	+	1.51251i
$291$	31.4252	−	43.2531i	1.84218	−	2.53554i
$292$	5.79357	−	0.0431180i	0.339043	−	0.00252329i
$293$	−0.107417	−	0.0349019i	−0.00627537	−	0.00203899i	0.305878	−	0.952071i	$-0.401050\pi$
$293$	−0.107417	−	0.0349019i	−0.00627537	−	0.00203899i	−0.312153	+	0.950032i	$0.601050\pi$
$294$	−13.4096	+	22.0664i	−0.782066	+	1.28694i
$295$	6.12622	−	27.8874i	0.356682	−	1.62367i
$296$	3.41423	−	14.9548i	0.198448	−	0.869232i
$297$	51.3461	+	8.13243i	2.97940	+	0.471891i
$298$	−13.1984	+	8.15570i	−0.764563	+	0.472447i
$299$	−1.22784	−	7.75228i	−0.0710078	−	0.448326i
$300$	27.4761	+	18.0849i	1.58634	+	1.04413i
$301$	0.782824	−	0.782824i	0.0451212	−	0.0451212i
$302$	−15.4355	+	18.2095i	−0.888216	+	1.04784i
$303$	−5.02846	+	9.86891i	−0.288878	+	0.566954i
$304$	−6.29429	+	12.8215i	−0.361002	+	0.735364i
$305$	1.33776	−	0.584737i	0.0765997	−	0.0334819i
$306$	−6.29722	−	3.82678i	−0.359988	−	0.218763i
$307$	−5.76456	+	11.3136i	−0.329001	+	0.645700i	−0.994958	−	0.100289i	$-0.968023\pi$
$307$	−5.76456	+	11.3136i	−0.329001	+	0.645700i	0.665958	+	0.745990i	$0.268023\pi$
$308$	4.59263	−	6.42117i	0.261689	−	0.365880i
$309$	26.0118	−	51.0509i	1.47976	−	2.90419i
$310$	−4.24268	+	8.82488i	−0.240968	+	0.501220i
$311$	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	$0.366222\pi$
$312$	15.9839	+	13.3459i	0.904910	+	0.755560i
$313$	−3.89719	+	5.36402i	−0.220282	+	0.303192i	−0.904828	−	0.425778i	$-0.860001\pi$
$313$	−3.89719	+	5.36402i	−0.220282	+	0.303192i	0.684546	+	0.728970i	$0.260001\pi$
$314$	16.4894	+	19.1618i	0.930551	+	1.08136i
$315$	8.43106	+	19.2885i	0.475037	+	1.08679i
$316$	9.32408	−	0.0693935i	0.524521	−	0.00390369i
$317$	2.77729	+	3.82261i	0.155988	+	0.214699i	0.879857	−	0.475238i	$-0.157638\pi$
$317$	2.77729	+	3.82261i	0.155988	+	0.214699i	−0.723869	+	0.689937i	$0.757638\pi$
$318$	14.1343	+	3.33776i	0.792610	+	0.187172i
$319$			33.5838i			1.88033i
$320$	14.0751	+	11.0405i	0.786822	+	0.617180i
$321$	−21.4300	+	42.0588i	−1.19611	+	2.34749i
$322$	2.26428	−	5.52451i	0.126183	−	0.307869i
$323$	2.34995	−	0.372196i	0.130755	−	0.0207095i
$324$	−40.2745	+	40.8785i	−2.23747	+	2.27103i
$325$	−1.32103	+	11.1124i	−0.0732777	+	0.616403i
$326$	6.24203	−	15.2296i	0.345714	−	0.843492i
$327$	−4.29734	+	4.29734i	−0.237643	+	0.237643i
$328$	15.6796	+	9.06362i	0.865763	+	0.500455i
$329$		−	6.86855i		−	0.378675i
$330$	11.2859	+	32.1852i	0.621269	+	1.77174i
$331$	−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	$0.280338\pi$
$332$	−21.2186	+	0.157917i	−1.16452	+	0.00866683i
$333$	6.63453	+	41.8888i	0.363570	+	2.29549i
$334$	6.19997	+	14.8119i	0.339247	+	0.810472i
$335$	12.6472	−	21.5654i	0.690989	−	1.17825i
$336$	5.11841	+	14.9899i	0.279232	+	0.817767i
$337$	−0.0591917	+	0.0591917i	−0.00322438	+	0.00322438i	−0.708717	−	0.705493i	$-0.750726\pi$
$337$	−0.0591917	+	0.0591917i	−0.00322438	+	0.00322438i	0.705493	+	0.708717i	$0.250726\pi$
$338$	2.59719	−	10.9982i	0.141268	−	0.598224i
$339$	−43.2541	−	6.85077i	−2.34924	−	0.372083i
$340$	0.154047	−	2.97583i	0.00835436	−	0.161387i
$341$	−9.04621	+	4.60927i	−0.489880	+	0.249606i
$342$	2.95184	−	39.3796i	0.159617	−	2.12940i
$343$	−12.2236	−	8.88097i	−0.660013	−	0.479527i
$344$	0.233011	+	2.59061i	0.0125631	+	0.139676i
$345$	13.9011	+	21.7280i	0.748412	+	1.16980i
$346$	−0.781815	+	1.90751i	−0.0420306	+	0.102549i
$347$	3.36935	−	1.09477i	0.180876	−	0.0587702i	−0.217179	−	0.976132i	$-0.569685\pi$
$347$	3.36935	−	1.09477i	0.180876	−	0.0587702i	0.398055	+	0.917362i	$0.369685\pi$
$348$	−54.8072	−	39.1999i	−2.93797	−	2.10134i
$349$	5.95153	+	18.3169i	0.318578	+	0.980483i	0.974256	+	0.225443i	$0.0723829\pi$
$349$	5.95153	+	18.3169i	0.318578	+	0.980483i	−0.655678	+	0.755041i	$0.727617\pi$
$350$	−5.24858	+	6.70188i	−0.280548	+	0.358230i
$351$	−33.7484	−	10.9655i	−1.80136	−	0.585297i
$352$	4.66476	+	17.9519i	0.248633	+	0.956841i
$353$	0.439158	+	0.223762i	0.0233740	+	0.0119097i	0.465638	−	0.884975i	$-0.345825\pi$
$353$	0.439158	+	0.223762i	0.0233740	+	0.0119097i	−0.442264	+	0.896885i	$0.645825\pi$
$354$	4.88080	+	59.1992i	0.259411	+	3.14640i
$355$	−0.621098	+	10.4860i	−0.0329645	+	0.556539i
$356$	0.0255347	−	0.00850735i	0.00135334	−	0.000450889i
$357$	1.55088	−	2.13461i	0.0820814	−	0.112975i
$358$	16.3996	+	26.5395i	0.866746	+	1.40266i
$359$	26.7732	−	19.4519i	1.41304	−	1.02663i	0.420164	−	0.907448i	$-0.361973\pi$
$359$	26.7732	−	19.4519i	1.41304	−	1.02663i	0.992872	−	0.119183i	$-0.0380275\pi$
$360$	−47.4823	−	13.8399i	−2.50254	−	0.729429i
$361$	−3.67332	−	5.05589i	−0.193333	−	0.266100i
$362$	20.5161	−	5.00630i	1.07830	−	0.263125i
$363$	0.253111	−	0.778996i	0.0132849	−	0.0408867i
$364$	−3.78194	+	3.83866i	−0.198228	+	0.201200i
$365$	−5.00618	−	4.11063i	−0.262036	−	0.215160i
$366$	−2.30222	+	1.98115i	−0.120339	+	0.103556i
$367$	16.5776	−	8.44671i	0.865344	−	0.440915i	0.0358019	−	0.999359i	$-0.488601\pi$
$367$	16.5776	−	8.44671i	0.865344	−	0.440915i	0.829542	+	0.558444i	$0.188601\pi$
$368$	6.55375	+	12.4026i	0.341638	+	0.646529i
$369$	−49.5644	−	7.11561i	−2.58022	−	0.370424i
$370$	−13.6383	+	10.3984i	−0.709020	+	0.540588i
$371$	−1.16140	+	3.57442i	−0.0602969	+	0.185575i
$372$	3.03685	−	20.1430i	0.157454	−	1.04437i
$373$	33.6723	−	5.33316i	1.74348	−	0.276141i	0.798201	−	0.602392i	$-0.205785\pi$
$373$	33.6723	−	5.33316i	1.74348	−	0.276141i	0.945283	+	0.326251i	$0.105785\pi$
$374$	1.99783	−	2.35686i	0.103305	−	0.121870i
$375$	−10.6485	−	35.2010i	−0.549884	−	1.81777i
$376$	12.3873	+	10.3429i	0.638827	+	0.533392i
$377$	3.58610	−	22.6417i	0.184693	−	1.16611i
$378$	−17.6068	−	20.4602i	−0.905596	−	1.05236i
$379$	29.8298	−	21.6726i	1.53226	−	1.11325i	0.577287	−	0.816541i	$-0.304111\pi$
$379$	29.8298	−	21.6726i	1.53226	−	1.11325i	0.954969	−	0.296707i	$-0.0958885\pi$
$380$	14.5843	−	6.50454i	0.748160	−	0.333676i
$381$	9.66802	+	61.0415i	0.495308	+	3.12725i
$382$	−6.45817	+	15.7570i	−0.330429	+	0.806198i
$383$	−21.1431			−1.08036			−0.540181	−	0.841549i	$-0.681644\pi$
$383$	−21.1431			−1.08036			−0.540181	+	0.841549i	$0.681644\pi$
$384$	−34.7415	−	13.3413i	−1.77290	−	0.680820i
$385$	−8.54095	+	2.22638i	−0.435287	+	0.113467i
$386$	7.48841	−	31.7109i	0.381150	−	1.61404i
$387$	−3.26484	−	6.40761i	−0.165961	−	0.325717i
$388$	−32.0679	+	5.32400i	−1.62800	+	0.270285i
$389$	−6.46871	−	19.9086i	−0.327977	−	1.00941i	−0.970079	−	0.242789i	$-0.921938\pi$
$389$	−6.46871	−	19.9086i	−0.327977	−	1.00941i	0.642102	−	0.766619i	$-0.278062\pi$
$390$	−4.17204	−	22.9039i	−0.211260	−	1.15979i
$391$	1.06083	−	2.08200i	0.0536485	−	0.105291i
$392$	15.2242	−	3.83525i	0.768939	−	0.193710i
$393$	−29.0421	−	39.9730i	−1.46498	−	2.01637i
$394$	−15.2789	+	3.72833i	−0.769741	+	0.187831i
$395$	−8.05688	−	6.61558i	−0.405386	−	0.332866i
$396$	−30.4506	−	41.2623i	−1.53020	−	2.07351i
$397$	8.79386	+	2.85730i	0.441351	+	0.143404i	0.521259	−	0.853399i	$-0.325463\pi$
$397$	8.79386	+	2.85730i	0.441351	+	0.143404i	−0.0799076	+	0.996802i	$0.525463\pi$
$398$	−1.75583	+	2.07137i	−0.0880116	+	0.103828i
$399$	13.9660	+	2.21199i	0.699173	+	0.110738i
$400$	−4.18327	−	19.5576i	−0.209164	−	0.977881i
$401$			29.3822i			1.46728i	0.679539	+	0.733639i	$0.262180\pi$
$401$			29.3822i			1.46728i	−0.679539	+	0.733639i	$0.737820\pi$
$402$	−11.9533	+	50.6182i	−0.596178	+	2.52461i
$403$	6.59101	−	2.14155i	0.328321	−	0.106678i
$404$	6.38921	−	2.12868i	0.317875	−	0.105906i
$405$	63.8515	−	6.27224i	3.17281	−	0.311670i
$406$	11.2756	−	13.3019i	0.559597	−	0.660162i
$407$	−17.7825			−0.881448
$408$	1.51437	+	6.01135i	0.0749723	+	0.297606i
$409$			2.55811i			0.126490i	0.997998	+	0.0632451i	$0.0201450\pi$
$409$			2.55811i			0.126490i	−0.997998	+	0.0632451i	$0.979855\pi$
$410$	−6.97641	−	19.0087i	−0.344540	−	0.938771i
$411$		−	18.9737i		−	0.935903i
$412$	−33.0508	+	11.0115i	−1.62829	+	0.542495i
$413$	−15.3720			−0.756406
$414$	−29.5848	−	25.0780i	−1.45402	−	1.23252i
$415$	18.3348	+	15.0549i	0.900022	+	0.739017i
$416$	−1.22800	−	12.6010i	−0.0602076	−	0.617817i
$417$	−48.4819	+	15.7527i	−2.37417	+	0.771415i
$418$	16.1146	+	3.80542i	0.788192	+	0.186129i
$419$			21.9886i			1.07421i	0.843515	+	0.537106i	$0.180483\pi$
$419$			21.9886i			1.07421i	−0.843515	+	0.537106i	$0.819517\pi$
$420$	6.33586	−	16.5371i	0.309158	−	0.806929i
$421$	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	$0.460356\pi$
$422$	15.2174	+	12.8993i	0.740774	+	0.627928i
$423$	−42.4333	−	13.7874i	−2.06318	−	0.670367i
$424$	−4.69755	−	7.47704i	−0.228133	−	0.363117i
$425$	−2.26270	+	2.44525i	−0.109757	+	0.118612i
$426$	−5.18055	−	21.2302i	−0.250999	−	1.02861i
$427$	−0.462008	−	0.635899i	−0.0223581	−	0.0307733i
$428$	27.2292	−	9.07189i	1.31617	−	0.438506i
$429$	10.9590	−	21.5082i	0.529103	−	1.03842i
$430$	1.65453	−	2.39154i	0.0797886	−	0.115330i
$431$	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	$0.651610\pi$
$432$	63.4126	−	0.943935i	3.05094	−	0.0454151i
$433$	−16.6976	−	32.7708i	−0.802433	−	1.57486i	−0.818162	−	0.574988i	$-0.805007\pi$
$433$	−16.6976	−	32.7708i	−0.802433	−	1.57486i	0.0157288	−	0.999876i	$-0.494993\pi$
$434$	5.13057	+	1.21157i	0.246275	+	0.0581570i
$435$	19.0031	+	72.9003i	0.911127	+	3.49530i
$436$	3.69503	−	0.0274999i	0.176960	−	0.00131701i
$437$	12.5225			0.599031
$438$	12.4692	+	5.11063i	0.595801	+	0.244196i
$439$	−1.25115	−	7.89948i	−0.0597143	−	0.377022i	−0.999389	−	0.0349520i	$-0.988872\pi$
$439$	−1.25115	−	7.89948i	−0.0597143	−	0.377022i	0.939675	−	0.342070i	$-0.111128\pi$
$440$	8.84597	−	18.7560i	0.421715	−	0.894158i
$441$	−35.1170	+	25.5140i	−1.67224	+	1.21495i
$442$	−1.59857	+	1.37563i	−0.0760364	+	0.0654322i
$443$	−1.92806	+	12.1733i	−0.0916051	+	0.578372i	0.898602	+	0.438765i	$0.144584\pi$
$443$	−1.92806	+	12.1733i	−0.0916051	+	0.578372i	−0.990207	+	0.139607i	$0.955416\pi$
$444$	20.7562	−	29.0203i	0.985047	−	1.37724i
$445$	−0.0280188	−	0.0109747i	−0.00132822	−	0.000520249i
$446$	−19.4658	−	16.5005i	−0.921732	−	0.781321i
$447$	−35.6426	+	5.64523i	−1.68584	+	0.267010i
$448$	4.17963	−	8.67658i	0.197469	−	0.409930i
$449$	−2.21355	+	6.81259i	−0.104464	+	0.321506i	−0.989604	−	0.143818i	$-0.954062\pi$
$449$	−2.21355	+	6.81259i	−0.104464	+	0.321506i	0.885141	+	0.465324i	$0.154062\pi$
$450$	30.8680	+	45.8781i	1.45513	+	2.16272i
$451$	6.19779	−	20.0594i	0.291843	−	0.944558i
$452$	15.8109	+	21.4247i	0.743680	+	1.00773i
$453$	−49.4717	+	25.2071i	−2.32438	+	1.18433i
$454$	−14.3123	−	16.6318i	−0.671710	−	0.780571i
$455$	5.99592	−	0.588990i	0.281093	−	0.0276123i
$456$	−25.0197	+	21.8565i	−1.17165	+	1.02353i
$457$	−3.41077	+	10.4973i	−0.159549	+	0.491042i	−0.998593	−	0.0530212i	$-0.983115\pi$
$457$	−3.41077	+	10.4973i	−0.159549	+	0.491042i	0.839044	+	0.544063i	$0.183115\pi$
$458$	−4.42491	−	18.1336i	−0.206763	−	0.847326i
$459$	−6.20949	−	8.54663i	−0.289834	−	0.398923i
$460$	3.25094	−	15.3428i	0.151576	−	0.715360i
$461$	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	$0.160734\pi$
$462$	15.6206	−	9.65244i	0.726735	−	0.449072i
$463$	−0.665945	+	0.916595i	−0.0309491	+	0.0425978i	−0.824211	−	0.566283i	$-0.808381\pi$
$463$	−0.665945	+	0.916595i	−0.0309491	+	0.0425978i	0.793262	+	0.608880i	$0.208381\pi$
$464$	7.01070	+	40.3657i	0.325463	+	1.87393i
$465$	−17.0285	+	15.1240i	−0.789677	+	0.701361i
$466$	−19.5968	+	1.61570i	−0.907806	+	0.0748459i
$467$	3.66848	+	1.86918i	0.169757	+	0.0864955i	0.536804	−	0.843707i	$-0.319631\pi$
$467$	3.66848	+	1.86918i	0.169757	+	0.0864955i	−0.367047	+	0.930202i	$0.619631\pi$
$468$	16.1233	+	31.0700i	0.745301	+	1.43621i
$469$	−12.8009	−	4.15926i	−0.591090	−	0.192057i
$470$	−3.23328	−	17.7503i	−0.149140	−	0.818758i
$471$	18.1701	+	55.9218i	0.837234	+	2.57674i
$472$	23.1476	−	27.7231i	1.06545	−	1.27606i
$473$	2.86772	−	0.931780i	0.131858	−	0.0428433i
$474$	20.0677	+	8.22498i	0.921742	+	0.377786i
$475$	−17.1812	−	4.85513i	−0.788325	−	0.222769i
$476$	−1.58260	+	0.262748i	−0.0725385	+	0.0120430i
$477$	19.7512	+	14.3501i	0.904345	+	0.657045i
$478$	−1.46737	−	0.109992i	−0.0671158	−	0.00503091i
$479$	8.67147	−	4.41833i	0.396209	−	0.201879i	−0.244522	−	0.969644i	$-0.578631\pi$
$479$	8.67147	−	4.41833i	0.396209	−	0.201879i	0.640732	+	0.767765i	$0.278631\pi$
$480$	20.2837	+	36.3287i	0.925820	+	1.65817i
$481$	11.9887	+	1.89883i	0.546639	+	0.0865792i
$482$	−27.9309	−	6.59578i	−1.27222	−	0.300430i
$483$	9.81967	−	9.81967i	0.446810	−	0.446810i
$484$	−0.442042	+	0.229391i	−0.0200928	+	0.0104269i
$485$	31.3503	+	18.3856i	1.42354	+	0.834846i
$486$	−61.0741	+	25.5644i	−2.77038	+	1.15962i
$487$	3.09150	+	19.5190i	0.140089	+	0.884490i	0.953191	+	0.302368i	$0.0977773\pi$
$487$	3.09150	+	19.5190i	0.140089	+	0.884490i	−0.813102	+	0.582122i	$0.802223\pi$
$488$	1.84254	+	0.124332i	0.0834079	+	0.00562824i
$489$	27.0703	−	27.0703i	1.22416	−	1.22416i
$490$	−15.8197	−	7.60554i	−0.714662	−	0.343583i
$491$		−	15.8487i		−	0.715240i	−0.933867	−	0.357620i	$-0.883588\pi$
$491$		−	15.8487i		−	0.715240i	0.933867	−	0.357620i	$-0.116412\pi$
$492$	25.5017	+	33.5283i	1.14971	+	1.51157i
$493$	4.82575	−	4.82575i	0.217341	−	0.217341i
$494$	−10.4579	−	4.28629i	−0.470524	−	0.192849i
$495$	−3.39006	+	57.2344i	−0.152372	+	2.57249i
$496$	−9.91080	+	7.42848i	−0.445008	+	0.333549i
$497$	5.58570	−	0.884687i	0.250553	−	0.0396837i
$498$	−45.6677	−	18.7174i	−2.04642	−	0.838746i
$499$	2.85821	−	5.60956i	0.127951	−	0.251118i	−0.818140	−	0.575019i	$-0.804994\pi$
$499$	2.85821	−	5.60956i	0.127951	−	0.251118i	0.946091	+	0.323901i	$0.104994\pi$
$500$	−10.4090	+	19.7902i	−0.465503	+	0.885046i
$501$			37.3480i			1.66859i
$502$	−9.29824	+	39.3749i	−0.415001	+	1.75739i
$503$	−8.31900	−	11.4501i	−0.370926	−	0.510535i	0.582226	−	0.813027i	$-0.302182\pi$
$503$	−8.31900	−	11.4501i	−0.370926	−	0.510535i	−0.953152	+	0.302491i	$0.902182\pi$
$504$	−1.79269	+	26.5668i	−0.0798527	+	1.18338i
$505$	−7.01076	−	2.74604i	−0.311975	−	0.122197i
$506$	12.3261	−	10.6070i	0.547961	−	0.471540i
$507$	15.4498	−	21.2649i	0.686151	−	0.944405i
$508$	21.8603	−	30.5639i	0.969894	−	1.35605i
$509$	−33.6604	−	5.33129i	−1.49197	−	0.236305i	−0.643459	−	0.765480i	$-0.722501\pi$
$509$	−33.6604	−	5.33129i	−1.49197	−	0.236305i	−0.848513	+	0.529175i	$0.822501\pi$
$510$	3.00308	−	6.24648i	0.132979	−	0.276599i
$511$	−1.58324	+	3.10729i	−0.0700385	+	0.137458i
$512$	9.35426	+	20.6033i	0.413404	+	0.910548i
$513$	25.7025	−	50.4440i	1.13479	−	2.22716i
$514$	9.29381	−	15.2936i	0.409932	−	0.674570i
$515$	36.2660	+	14.2050i	1.59807	+	0.625947i
$516$	−1.82666	+	5.76759i	−0.0804142	+	0.253904i
$517$	8.49305	−	16.6685i	0.373524	−	0.733082i
$518$	7.04332	+	5.97038i	0.309466	+	0.262323i
$519$	−3.39055	+	3.39055i	−0.148829	+	0.148829i
$520$	−7.96660	+	11.7005i	−0.349359	+	0.513100i
$521$	−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	$0.977242\pi$
$522$	−59.5443	−	96.3608i	−2.60618	−	4.21760i
$523$	−19.6302	−	3.10912i	−0.858368	−	0.135952i	−0.288291	−	0.957543i	$-0.593087\pi$
$523$	−19.6302	−	3.10912i	−0.858368	−	0.135952i	−0.570078	+	0.821591i	$0.693087\pi$
$524$	−4.47861	+	29.7060i	−0.195649	+	1.29771i
$525$	−17.2800	+	9.66562i	−0.754163	+	0.421842i
$526$	29.3291	+	17.8231i	1.27881	+	0.777125i
$527$	1.96219	+	0.637555i	0.0854745	+	0.0277723i
$528$	−6.11390	+	42.7064i	−0.266073	+	1.85856i
$529$	−6.29021	+	8.65773i	−0.273487	+	0.376423i
$530$	−1.31877	+	9.78403i	−0.0572838	+	0.424991i
$531$	−30.8566	+	94.9669i	−1.33906	+	4.12121i
$532$	−5.10505	−	6.91764i	−0.221332	−	0.299918i
$533$	−6.32041	+	12.8619i	−0.273768	+	0.557112i
$534$	0.0624268	+	0.00467943i	0.00270147	+	0.000202499i
$535$	−29.8781	−	11.7029i	−1.29174	−	0.505962i
$536$	26.7771	−	16.8231i	1.15660	−	0.726646i
$537$	11.3515	+	71.6706i	0.489854	+	3.09282i
$538$	−0.0814179	−	0.987518i	−0.00351017	−	0.0425749i
$539$	−8.26271	−	16.2165i	−0.355900	−	0.698493i
$540$	−55.1323	−	44.5868i	−2.37252	−	1.91871i
$541$	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	$0.797247\pi$
$542$	11.8174	+	13.7326i	0.507601	+	0.589866i
$543$	48.5147	+	7.68398i	2.08197	+	0.329751i
$544$	1.90927	−	3.24985i	0.0818592	−	0.139336i
$545$	−3.19285	−	2.62168i	−0.136767	−	0.112300i
$546$	−11.5619	+	4.83956i	−0.494802	+	0.207114i
$547$			2.23544i			0.0955807i	0.998857	+	0.0477903i	$0.0152179\pi$
$547$			2.23544i			0.0955807i	−0.998857	+	0.0477903i	$0.984782\pi$
$548$	−8.09648	+	8.21790i	−0.345865	+	0.351051i
$549$	−4.85594	+	1.57779i	−0.207246	+	0.0673384i
$550$	−21.0242	+	9.77414i	−0.896474	+	0.416771i
$551$	34.7838	+	11.3019i	1.48184	+	0.481479i
$552$	2.92287	+	32.4964i	0.124406	+	1.38314i
$553$	−2.54805	+	5.00082i	−0.108354	+	0.212657i
$554$	−5.64465	−	23.1321i	−0.239818	−	0.982789i
$555$	−38.6005	+	10.0621i	−1.63850	+	0.427111i
$556$	27.7206	+	13.8655i	1.17561	+	0.588026i
$557$	17.9999	−	13.0777i	0.762680	−	0.554120i	−0.137051	−	0.990564i	$-0.543762\pi$
$557$	17.9999	−	13.0777i	0.762680	−	0.554120i	0.899731	+	0.436444i	$0.143762\pi$
$558$	17.7837	−	29.2642i	0.752843	−	1.23885i
$559$	−2.03287	+	0.321976i	−0.0859814	+	0.0136181i
$560$	−9.80094	+	4.45892i	−0.414165	+	0.188424i
$561$	6.40314	−	3.26256i	0.270341	−	0.137746i
$562$	−13.2519	+	15.6335i	−0.559000	+	0.659458i
$563$	6.32328	+	8.70325i	0.266495	+	0.366798i	0.921202	−	0.389084i	$-0.127208\pi$
$563$	6.32328	+	8.70325i	0.266495	+	0.366798i	−0.654708	+	0.755882i	$0.727208\pi$
$564$	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
$567$	−10.6740	−	32.8511i	−0.448265	−	1.37962i
$568$	−6.81559	+	11.4059i	−0.285976	+	0.478581i
$569$	7.86210	+	5.71215i	0.329596	+	0.239466i	0.740259	−	0.672321i	$-0.234703\pi$
$569$	7.86210	+	5.71215i	0.329596	+	0.239466i	−0.410663	+	0.911787i	$0.634703\pi$
$570$	37.1333	−	0.857888i	1.55534	−	0.0359330i
$571$	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	$0.241478\pi$
$572$	−13.9245	+	4.63921i	−0.582215	+	0.193975i
$573$	−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
$577$		−	29.2521i		−	1.21778i	−0.793254	−	0.608890i	$-0.791615\pi$
$577$		−	29.2521i		−	1.21778i	0.793254	−	0.608890i	$-0.208385\pi$
$578$	23.3346	−	1.92387i	0.970591	−	0.0800223i
$579$	44.5461	−	61.3124i	1.85127	−	2.54806i
$580$	22.8775	−	39.6837i	0.949938	−	1.64777i
$581$	5.79853	−	11.3803i	0.240563	−	0.472132i
$582$	−73.5853	−	17.3769i	−3.05021	−	0.720296i
$583$	−7.23830	+	7.23830i	−0.299780	+	0.299780i
$584$	−3.21985	−	7.53440i	−0.133238	−	0.311776i
$585$	8.39705	−	38.2246i	0.347175	−	1.58039i
$586$	0.0131246	+	0.159188i	0.000542171	+	0.00657600i
$587$	9.47864	−	29.1723i	0.391225	−	1.20407i	−0.540637	−	0.841256i	$-0.681817\pi$
$587$	9.47864	−	29.1723i	0.391225	−	1.20407i	0.931862	−	0.362812i	$-0.118183\pi$
$588$	36.1090	+	5.44394i	1.48911	+	0.224504i
$589$	1.72965	+	10.9206i	0.0712691	+	0.449975i
$590$	−39.7255	+	7.23616i	−1.63547	+	0.297908i
$591$	−36.1303	−	5.72248i	−1.48620	−	0.235391i
$592$	−21.3735	+	3.71214i	−0.878447	+	0.152568i
$593$	12.9797	−	4.21735i	0.533011	−	0.173186i	−0.0301312	−	0.999546i	$-0.509593\pi$
$593$	12.9797	−	4.21735i	0.533011	−	0.173186i	0.563142	+	0.826360i	$0.309593\pi$
$594$	−17.4287	−	71.4238i	−0.715108	−	2.93055i
$595$	1.54719	+	0.907357i	0.0634285	+	0.0371980i
$596$	17.8465	+	12.7644i	0.731020	+	0.522850i
$597$	−5.62751	+	2.86736i	−0.230319	+	0.117353i
$598$	−9.44269	+	5.83493i	−0.386140	+	0.238608i
$599$	13.6280	+	41.9427i	0.556825	+	1.71373i	0.691074	+	0.722784i	$0.257138\pi$
$599$	13.6280	+	41.9427i	0.556825	+	1.71373i	−0.134248	+	0.990948i	$0.542862\pi$
$600$	8.58902	−	45.7191i	0.350645	−	1.86647i
$601$	−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	$0.461809\pi$
$602$	−1.44869	−	0.593761i	−0.0590442	−	0.0241999i
$603$	−51.3912	+	70.7339i	−2.09281	+	2.88051i
$604$	32.1836	+	10.1929i	1.30953	+	0.414744i
$605$	0.543833	+	0.119467i	0.0221100	+	0.00485704i
$606$	15.6202	+	1.17087i	0.634527	+	0.0475633i
$607$	5.61158	+	0.888786i	0.227767	+	0.0360747i	0.269275	−	0.963063i	$-0.413216\pi$
$607$	5.61158	+	0.888786i	0.227767	+	0.0360747i	−0.0415077	+	0.999138i	$0.513216\pi$
$608$	20.1632	+	1.20991i	0.817726	+	0.0490685i
$609$	36.1388	−	18.4136i	1.46442	−	0.746157i
$610$	−1.49330	−	1.42586i	−0.0604619	−	0.0577313i
$611$	−7.50577	+	10.3308i	−0.303651	+	0.417940i
$612$	−1.55357	+	10.3046i	−0.0627993	+	0.416539i
$613$	29.2261	−	14.8914i	1.18043	−	0.601460i	0.250114	−	0.968216i	$-0.419532\pi$
$613$	29.2261	−	14.8914i	1.18043	−	0.601460i	0.930317	+	0.366757i	$0.119532\pi$
$614$	17.9068	+	1.34227i	0.722659	+	0.0541695i
$615$	2.10316	−	47.0498i	0.0848075	−	1.89723i
$616$	−10.8845	−	2.48496i	−0.438549	−	0.100122i
$617$	−5.71989	−	11.2259i	−0.230274	−	0.451938i	0.746739	−	0.665117i	$-0.231618\pi$
$617$	−5.71989	−	11.2259i	−0.230274	−	0.451938i	−0.977013	+	0.213179i	$0.931618\pi$
$618$	−80.8018	−	6.05679i	−3.25033	−	0.243640i
$619$	12.8250	+	9.31793i	0.515482	+	0.374519i	0.814899	−	0.579603i	$-0.196792\pi$
$619$	12.8250	+	9.31793i	0.515482	+	0.374519i	−0.299417	+	0.954122i	$0.596792\pi$
$620$	13.8291	+	0.715880i	0.555392	+	0.0287504i
$621$	−25.2427	−	49.5416i	−1.01295	−	1.98803i
$622$	−6.45400	−	26.4489i	−0.258782	−	1.06050i
$623$	−0.00253433	+	0.0160011i	−0.000101536	+	0.000641072i
$624$	8.68212	−	28.1392i	0.347563	−	1.12647i
$625$	23.1068	−	9.54332i	0.924273	−	0.381733i
$626$	9.12566	+	2.15499i	0.364735	+	0.0861308i
$627$	31.1574	+	22.6372i	1.24431	+	0.904041i
$628$	15.9932	−	31.9745i	0.638198	−	1.27592i
$629$	2.55522	+	2.55522i	0.101883	+	0.101883i
$630$	20.5588	−	21.5312i	0.819083	−	0.857825i
$631$	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	$0.174252\pi$
$632$	−5.18198	−	12.1257i	−0.206128	−	0.482336i
$633$	21.0653	+	41.3429i	0.837270	+	1.64323i
$634$	3.47020	−	5.71043i	0.137819	−	0.226790i
$635$	−40.6537	+	10.5973i	−1.61329	+	0.420540i
$636$	−3.36383	−	20.2613i	−0.133385	−	0.803413i
$637$	3.83900	+	11.8152i	0.152107	+	0.468136i
$638$	43.8114	−	18.3386i	1.73451	−	0.726032i
$639$	5.74679	−	36.2838i	0.227340	−	1.43537i
$640$	6.71695	−	24.3902i	0.265511	−	0.964108i
$641$	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	$0.448291\pi$
$642$	66.5694	+	4.98995i	2.62728	+	0.196938i
$643$	−0.785422	−	0.255199i	−0.0309740	−	0.0100641i	0.293489	−	0.955962i	$-0.405184\pi$
$643$	−0.785422	−	0.255199i	−0.0309740	−	0.0100641i	−0.324463	+	0.945898i	$0.605184\pi$
$644$	−8.44337	+	0.0628389i	−0.332715	+	0.00247620i
$645$	5.69772	−	3.64528i	0.224348	−	0.143533i
$646$	−1.76874	−	2.86237i	−0.0695903	−	0.112618i
$647$	22.9749	+	22.9749i	0.903236	+	0.903236i	0.995715	−	0.0924785i	$-0.0294789\pi$
$647$	22.9749	+	22.9749i	0.903236	+	0.903236i	−0.0924785	+	0.995715i	$0.529479\pi$
$648$	75.3197	+	30.2179i	2.95884	+	1.18707i
$649$	−37.3046	−	19.0077i	−1.46434	−	0.746116i
$650$	15.2179	−	4.34462i	0.596895	−	0.170410i
$651$	9.91986	+	7.20720i	0.388790	+	0.282473i
$652$	−23.2762	+	0.173230i	−0.911565	+	0.00678423i
$653$	−31.9818			−1.25155			−0.625773	−	0.780006i	$-0.715216\pi$
$653$	−31.9818			−1.25155			−0.625773	+	0.780006i	$0.715216\pi$
$654$	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
$658$	−8.96030	+	3.75060i	−0.349309	+	0.146214i
$659$	17.6120	+	17.6120i	0.686066	+	0.686066i	0.961360	−	0.275294i	$-0.0887752\pi$
$659$	17.6120	+	17.6120i	0.686066	+	0.686066i	−0.275294	+	0.961360i	$0.588775\pi$
$660$	35.8242	−	32.2978i	1.39445	−	1.25719i
$661$	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	$-0.0720966\pi$
$662$	4.53120	+	1.85716i	0.176110	+	0.0721805i
$663$	−4.66529	+	1.51584i	−0.181185	+	0.0588705i
$664$	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
$667$	29.0596	−	21.1130i	1.12519	−	0.817499i
$668$	15.9372	−	16.1762i	0.616629	−	0.625876i
$669$	−26.9462	−	52.8849i	−1.04180	−	2.04465i
$670$	−35.0390	−	4.72285i	−1.35368	−	0.182460i
$671$	−0.334900	−	2.11448i	−0.0129287	−	0.0816284i
$672$	16.7600	−	14.8625i	0.646532	−	0.573332i
$673$	11.6756	+	16.0700i	0.450060	+	0.619455i	0.972411	−	0.233276i	$-0.0749446\pi$
$673$	11.6756	+	16.0700i	0.450060	+	0.619455i	−0.522350	+	0.852731i	$0.674945\pi$
$674$	0.109540	+	0.0448961i	0.00421932	+	0.00172933i
$675$	15.4257	+	77.7592i	0.593735	+	2.99295i
$676$	−15.7658	+	2.61748i	−0.606377	+	0.100672i
$677$	−20.8532	−	10.6252i	−0.801453	−	0.408361i	0.00475812	−	0.999989i	$-0.498485\pi$
$677$	−20.8532	−	10.6252i	−0.801453	−	0.408361i	−0.806211	+	0.591628i	$0.798485\pi$
$678$	14.6820	+	60.1675i	0.563857	+	2.31072i
$679$	6.04644	−	18.6090i	0.232041	−	0.714149i
$680$	−3.96620	+	1.42400i	−0.152097	+	0.0546080i
$681$	−15.7711	−	48.5384i	−0.604349	−	1.86000i
$682$	10.9527	+	9.28423i	0.419401	+	0.355512i
$683$	25.3108			0.968489			0.484245	−	0.874933i	$-0.339095\pi$
$683$	25.3108			0.968489			0.484245	+	0.874933i	$0.339095\pi$
$684$	−52.9841	+	17.6526i	−2.02590	+	0.674964i
$685$	12.8362	−	1.26092i	0.490447	−	0.0481774i
$686$	−4.91083	+	20.7957i	−0.187496	+	0.793983i
$687$	6.79163	−	42.8807i	0.259117	−	1.63600i
$688$	3.25232	−	1.71859i	0.123993	−	0.0655205i
$689$	5.65287	−	4.10705i	0.215357	−	0.156466i
$690$	20.7543	−	29.9993i	0.790103	−	1.14205i
$691$	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	$0.140951\pi$
$692$	2.91534	−	0.0216971i	0.110825	−	0.000824801i
$693$	30.4877	−	4.82878i	1.15813	−	0.183430i
$694$	−3.26802	−	3.79765i	−0.124052	−	0.144157i
$695$	−13.8791	−	31.7525i	−0.526464	−	1.20444i
$696$	−21.2101	+	92.9035i	−0.803968	+	3.52150i
$697$	−3.77296	+	1.99181i	−0.142911	+	0.0754450i
$698$	20.6453	−	17.7661i	0.781437	−	0.672455i
$699$	−43.4973	−	14.1331i	−1.64522	−	0.534565i
$700$	11.6089	+	3.18739i	0.438774	+	0.120472i
$701$	−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	$0.922763\pi$
$702$	4.12350	+	50.0140i	0.155632	+	1.88766i
$703$	−5.98435	+	18.4179i	−0.225704	+	0.694645i
$704$	20.8718	−	15.8881i	0.786635	−	0.598805i
$705$	9.00412	−	40.9881i	0.339115	−	1.54370i
$706$	0.0521027	−	0.695086i	0.00196091	−	0.0261599i
$707$	−0.634131	+	4.00375i	−0.0238489	+	0.150576i
$708$	74.5625	−	38.6932i	2.80223	−	1.45418i
$709$	−3.65116	+	0.578288i	−0.137122	+	0.0217181i	−0.224618	−	0.974447i	$-0.572114\pi$
$709$	−3.65116	+	0.578288i	−0.137122	+	0.0217181i	0.0874959	+	0.996165i	$0.472114\pi$
$710$	14.0186	−	4.91567i	0.526107	−	0.184482i
$711$	25.7799	+	25.7799i	0.966822	+	0.966822i
$712$	−0.0250415	−	0.0286656i	−0.000938471	−	0.00107429i
$713$	9.67538	+	4.92985i	0.362346	+	0.184624i
$714$	−3.63155	−	0.857578i	−0.135907	−	0.0320940i
$715$	15.2792	+	5.98468i	0.571408	+	0.223814i
$716$	25.6668	−	35.8860i	0.959214	−	1.34112i
$717$	−3.04955	−	1.55382i	−0.113888	−	0.0580286i
$718$	−39.9954	−	24.3050i	−1.49261	−	0.907053i
$719$	15.2548	+	7.77271i	0.568908	+	0.289873i	0.714687	−	0.699444i	$-0.246569\pi$
$719$	15.2548	+	7.77271i	0.568908	+	0.289873i	−0.145779	+	0.989317i	$0.546569\pi$
$720$	7.87315	+	69.4999i	0.293415	+	2.59011i
$721$	3.28030	−	20.7110i	0.122165	−	0.771318i
$722$	−4.58978	+	7.55279i	−0.170814	+	0.281086i
$723$	−54.0039	−	39.2361i	−2.00843	−	1.45921i
$724$	−17.7338	−	24.0304i	−0.659072	−	0.893082i
$725$	−48.0562	+	17.7008i	−1.78476	+	0.657391i
$726$	−1.15444	+	0.0951804i	−0.0428454	+	0.00353248i
$727$	−34.6467	+	25.1723i	−1.28497	+	0.933588i	−0.999691	−	0.0248559i	$-0.992087\pi$
$727$	−34.6467	+	25.1723i	−1.28497	+	0.933588i	−0.285282	+	0.958444i	$0.592087\pi$
$728$	7.07283	+	2.83758i	0.262137	+	0.105168i
$729$	−67.9194			−2.51553
$730$	−2.62883	+	8.77539i	−0.0972973	+	0.324792i
$731$	−0.545961	−	0.278181i	−0.0201931	−	0.0102889i
$732$	3.84163	+	1.92153i	0.141991	+	0.0710218i
$733$	4.83888	+	30.5515i	0.178728	+	1.12844i	0.900032	+	0.435825i	$0.143543\pi$
$733$	4.83888	+	30.5515i	0.178728	+	1.12844i	−0.721304	+	0.692619i	$0.756457\pi$
$734$	−20.0713	−	17.0138i	−0.740847	−	0.627990i
$735$	−27.1118	−	30.5257i	−1.00003	−	1.12596i
$736$	12.6009	−	15.3221i	0.464477	−	0.564780i
$737$	−25.9221	−	25.9221i	−0.954854	−	0.954854i
$738$	17.7823	+	68.5443i	0.654575	+	2.52315i
$739$	−40.5634			−1.49215			−0.746074	−	0.665864i	$-0.768063\pi$
$739$	−40.5634			−1.49215			−0.746074	+	0.665864i	$0.768063\pi$
$740$	21.0124	+	12.1136i	0.772431	+	0.445304i
$741$	−18.5887	−	18.5887i	−0.682871	−	0.682871i
$742$	5.29717	−	0.436736i	0.194465	−	0.0160331i
$743$	4.03152	−	0.638530i	0.147902	−	0.0234254i	−0.0820443	−	0.996629i	$-0.526145\pi$
$743$	4.03152	−	0.638530i	0.147902	−	0.0234254i	0.229946	+	0.973203i	$0.426145\pi$
$744$	−27.9357	+	7.03750i	−1.02417	+	0.258007i
$745$	−6.18783	−	23.7380i	−0.226705	−	0.869694i
$746$	−25.3442	−	41.0146i	−0.927917	−	1.50165i
$747$	−58.6667	−	58.6667i	−2.14650	−	2.14650i
$748$	−4.16554	−	1.31927i	−0.152307	−	0.0482375i
$749$	−2.70251	+	17.0630i	−0.0987474	+	0.623467i
$750$	−40.1065	+	33.1130i	−1.46448	+	1.20912i
$751$	−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	$0.869287\pi$
$752$	6.72853	−	21.8075i	0.245364	−	0.795238i
$753$	−55.3122	+	76.1306i	−2.01569	+	2.77436i
$754$	−31.4953	+	7.68541i	−1.14699	+	0.279886i
$755$	−20.3410	−	31.7938i	−0.740285	−	1.15709i
$756$	−17.0769	+	34.1412i	−0.621083	+	1.24170i
$757$	11.4942	+	35.3756i	0.417765	+	1.28575i	0.909754	+	0.415148i	$0.136270\pi$
$757$	11.4942	+	35.3756i	0.417765	+	1.28575i	−0.491989	+	0.870602i	$0.663730\pi$
$758$	−44.5615	−	27.0798i	−1.61855	−	0.983582i
$759$	35.9725	−	11.6882i	1.30572	−	0.424253i
$760$	−16.4493	−	15.4740i	−0.596678	−	0.561301i
$761$	−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	$0.977629\pi$
$762$	74.3518	−	45.9443i	2.69348	−	1.66439i
$763$	−1.00976	+	1.98177i	−0.0365559	+	0.0717449i
$764$	24.0821	−	0.179229i	0.871261	−	0.00648427i
$765$	8.71129	−	7.73703i	0.314957	−	0.279733i
$766$	11.5453	+	27.5820i	0.417148	+	0.996578i
$767$	23.1206	+	16.7981i	0.834837	+	0.606545i
$768$	1.56652	+	52.6068i	0.0565268	+	1.89828i
$769$	−14.2535	−	19.6183i	−0.513995	−	0.707454i	0.470591	−	0.882351i	$-0.344041\pi$
$769$	−14.2535	−	19.6183i	−0.513995	−	0.707454i	−0.984587	+	0.174898i	$0.944041\pi$
$770$	7.56823	+	9.92629i	0.272740	+	0.357718i
$771$	33.6755	−	24.4667i	1.21279	−	0.881145i
$772$	−45.4572	+	7.54691i	−1.63604	+	0.271619i
$773$	−15.5348	−	5.04757i	−0.558749	−	0.181549i	0.0160092	−	0.999872i	$-0.494904\pi$
$773$	−15.5348	−	5.04757i	−0.558749	−	0.181549i	−0.574758	+	0.818323i	$0.694904\pi$
$774$	−6.57620	+	7.75801i	−0.236377	+	0.278856i
$775$	−11.3635	−	10.5151i	−0.408189	−	0.377715i
$776$	24.4562	+	38.9267i	0.877927	+	1.39739i
$777$	9.74996	+	19.1354i	0.349778	+	0.686478i
$778$	−22.4394	+	19.3099i	−0.804490	+	0.692293i
$779$	−18.6904	−	13.1698i	−0.669652	−	0.471857i
$780$	−27.6009	+	17.9494i	−0.988272	+	0.642691i
$781$	14.6493	+	4.75983i	0.524192	+	0.170320i
$782$	−3.29532	−	0.247013i	−0.117840	−	0.00883315i
$783$	−25.4040	−	160.394i	−0.907864	−	5.73203i
$784$	−13.3165	−	17.7664i	−0.475589	−	0.634513i
$785$	−36.6251	+	16.0089i	−1.30721	+	0.571383i
$786$	−36.2878	+	59.7140i	−1.29434	+	2.12993i
$787$	25.0529	+	3.96799i	0.893040	+	0.141444i	0.586056	−	0.810271i	$-0.300680\pi$
$787$	25.0529	+	3.96799i	0.893040	+	0.141444i	0.306985	+	0.951714i	$0.400680\pi$
$788$	13.2069	+	17.8961i	0.470476	+	0.637522i
$789$	46.9207	+	64.5808i	1.67042	+	2.29914i
$790$	−4.23079	+	14.1230i	−0.150525	+	0.502473i
$791$	−15.8302	+	2.50725i	−0.562855	+	0.0891475i
$792$	−37.2007	+	62.2554i	−1.32187	+	2.21215i
$793$			1.46131i			0.0518926i
$794$	−1.07446	−	13.0322i	−0.0381313	−	0.462495i
$795$	−11.6165	+	19.8079i	−0.411993	+	0.702513i
$796$	3.66096	+	1.15947i	0.129759	+	0.0410962i
$797$	1.77582	−	0.904827i	0.0629028	−	0.0320506i	−0.422256	−	0.906477i	$-0.638762\pi$
$797$	1.77582	−	0.904827i	0.0629028	−	0.0320506i	0.485159	+	0.874426i	$0.338762\pi$
$798$	−4.74055	−	19.4270i	−0.167814	−	0.687710i
$799$	−3.61554	+	1.17476i	−0.127909	+	0.0415600i
$800$	−23.2294	+	16.1368i	−0.821283	+	0.570521i
$801$	0.0937665	+	0.0477764i	0.00331308	+	0.00168810i
$802$	38.3303	−	16.0443i	1.35349	−	0.566543i
$803$	−7.68440	+	5.58305i	−0.271177	+	0.197021i
$804$	72.5607	−	12.0467i	2.55902	−	0.424855i
$805$	7.29586	+	5.99070i	0.257145	+	0.211144i
$806$	−6.39278	−	7.42883i	−0.225176	−	0.261669i
$807$	0.712193	−	2.19190i	0.0250704	−	0.0771587i
$808$	−6.26580	−	7.17260i	−0.220430	−	0.252331i
$809$	4.29045	−	27.0888i	0.150844	−	0.952392i	−0.789890	−	0.613248i	$-0.789863\pi$
$809$	4.29045	−	27.0888i	0.150844	−	0.952392i	0.940734	−	0.339144i	$-0.110137\pi$
$810$	−43.0488	−	79.8719i	−1.51258	−	2.80641i
$811$	−26.0890			−0.916109			−0.458055	−	0.888924i	$-0.651454\pi$
$811$	−26.0890			−0.916109			−0.458055	+	0.888924i	$0.651454\pi$
$812$	−23.5099	−	7.44587i	−0.825037	−	0.261299i
$813$	13.0219	+	40.0773i	0.456698	+	1.40557i
$814$	9.71023	+	23.1980i	0.340343	+	0.813091i
$815$	20.1128	+	16.5148i	0.704520	+	0.578488i
$816$	7.01512	−	5.25807i	0.245578	−	0.184069i
$817$		−	3.28376i		−	0.114884i
$818$	3.33715	−	1.39687i	0.116681	−	0.0488403i
$819$	−21.0700			−0.736245
$820$	−20.9881	+	19.4808i	−0.732935	+	0.680298i
$821$	−4.63363			−0.161715			−0.0808573	−	0.996726i	$-0.525766\pi$
$821$	−4.63363			−0.161715			−0.0808573	+	0.996726i	$0.525766\pi$
$822$	−24.7519	+	10.3607i	−0.863323	+	0.361370i
$823$		−	0.172990i		−	0.00603003i	−0.999995	−	0.00301502i	$-0.999040\pi$
$823$		−	0.172990i		−	0.00603003i	0.999995	−	0.00301502i	$-0.000959711\pi$
$824$	32.4124	+	37.1032i	1.12914	+	1.29255i
$825$	−53.8868	+	2.08945i	−1.87610	+	0.0727454i
$826$	8.39394	+	20.0534i	0.292063	+	0.697746i
$827$	13.1823	+	40.5710i	0.458394	+	1.41079i	0.867103	+	0.498128i	$0.165979\pi$
$827$	13.1823	+	40.5710i	0.458394	+	1.41079i	−0.408709	+	0.912665i	$0.634021\pi$
$828$	−16.5604	+	52.2886i	−0.575513	+	1.81715i
$829$	44.4426			1.54356			0.771778	−	0.635892i	$-0.219368\pi$
$829$	44.4426			1.54356			0.771778	+	0.635892i	$0.219368\pi$
$830$	9.62792	−	32.1393i	0.334190	−	1.11557i
$831$	8.66376	−	54.7009i	0.300543	−	1.89755i
$832$	−15.7680	+	8.48283i	−0.546657	+	0.294089i
$833$	−1.14290	+	3.51748i	−0.0395991	+	0.121873i
$834$	47.0239	+	54.6448i	1.62830	+	1.89219i
$835$	−25.2670	+	2.48202i	−0.874400	+	0.0858938i
$836$	−3.83515	−	23.1001i	−0.132641	−	0.798935i
$837$	39.7176	−	28.8565i	1.37284	−	0.997427i
$838$	28.6850	−	12.0070i	0.990906	−	0.414773i
$839$	−20.0330	−	10.2073i	−0.691615	−	0.352395i	0.0725966	−	0.997361i	$-0.476871\pi$
$839$	−20.0330	−	10.2073i	−0.691615	−	0.352395i	−0.764211	+	0.644966i	$0.776871\pi$
$840$	−25.0331	+	0.764775i	−0.863723	+	0.0263872i
$841$	72.1935	−	23.4571i	2.48943	−	0.808865i
$842$	−3.82353	−	15.6691i	−0.131768	−	0.539992i
$843$	−42.4732	+	21.6412i	−1.46285	+	0.745361i
$844$	8.51811	−	26.8955i	0.293205	−	0.925781i
$845$	15.4130	+	9.03904i	0.530223	+	0.310953i
$846$	5.18465	+	62.8847i	0.178252	+	2.16202i
$847$		−	0.299769i		−	0.0103002i
$848$	−7.18899	+	10.2110i	−0.246871	+	0.350647i
$849$	39.3310	−	6.22942i	1.34984	−	0.213793i
$850$	4.42549	+	1.61655i	0.151793	+	0.0554471i
$851$	11.1793	+	15.3870i	0.383221	+	0.527458i
$852$	−24.8668	+	18.3511i	−0.851923	+	0.628698i
$853$	20.9190	+	3.31324i	0.716252	+	0.113443i	0.503915	−	0.863753i	$-0.331893\pi$
$853$	20.9190	+	3.31324i	0.716252	+	0.113443i	0.212337	+	0.977196i	$0.431893\pi$
$854$	−0.577275	+	0.949944i	−0.0197539	+	0.0325064i
$855$	58.1385	+	22.7722i	1.98830	+	0.778794i
$856$	−26.7033	−	30.5678i	−0.912699	−	1.04479i
$857$	4.35420	+	27.4913i	0.148737	+	0.939086i	0.943309	+	0.331916i	$0.107695\pi$
$857$	4.35420	+	27.4913i	0.148737	+	0.939086i	−0.794572	+	0.607170i	$0.792305\pi$
$858$	−34.0424	−	2.55177i	−1.16219	−	0.0871161i
$859$	16.3031	+	5.29719i	0.556254	+	0.180738i	0.573635	−	0.819111i	$-0.305533\pi$
$859$	16.3031	+	5.29719i	0.556254	+	0.180738i	−0.0173809	+	0.999849i	$0.505533\pi$
$860$	−4.02332	−	0.852493i	−0.137194	−	0.0290698i
$861$	−24.9836	+	4.32901i	−0.851438	+	0.147532i
$862$	31.3127	−	26.9457i	1.06651	−	0.917775i
$863$	−7.72527	−	15.1617i	−0.262971	−	0.516110i	0.721333	−	0.692588i	$-0.243530\pi$
$863$	−7.72527	−	15.1617i	−0.262971	−	0.516110i	−0.984305	+	0.176478i	$0.943530\pi$
$864$	−35.8581	−	82.2088i	−1.21992	−	2.79680i
$865$	−2.51913	−	2.06848i	−0.0856529	−	0.0703304i
$866$	−33.6330	+	39.6773i	−1.14290	+	1.34829i
$867$	51.7937	+	16.8288i	1.75901	+	0.571536i
$868$	−1.22103	−	7.35461i	−0.0414445	−	0.249632i
$869$	−12.3672	+	8.98527i	−0.419527	+	0.304804i
$870$	84.7247	−	64.5978i	2.87244	−	2.19007i
$871$	14.7084	+	20.2443i	0.498374	+	0.685953i
$872$	−2.05356	−	4.80530i	−0.0695424	−	0.162728i
$873$	−102.828	−	74.7089i	−3.48020	−	2.52851i
$874$	−6.83795	−	16.3361i	−0.231297	−	0.552576i
$875$	−7.68743	−	11.0481i	−0.259883	−	0.373494i
$876$	−0.141832	−	19.0573i	−0.00479205	−	0.643885i
$877$	−3.88876	+	7.63213i	−0.131314	+	0.257719i	−0.947296	−	0.320358i	$-0.896197\pi$
$877$	−3.88876	+	7.63213i	−0.131314	+	0.257719i	0.815982	+	0.578077i	$0.196197\pi$
$878$	−9.62199	+	5.94572i	−0.324726	+	0.200658i
$879$	−0.114806	+	0.353335i	−0.00387230	+	0.0119177i
$880$	−29.2984	−	1.29811i	−0.987648	−	0.0437593i
$881$	−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	$0.522334\pi$
$882$	52.4598	+	31.8795i	1.76641	+	1.07344i
$883$	9.98317	+	30.7250i	0.335960	+	1.03398i	0.966247	+	0.257617i	$0.0829374\pi$
$883$	9.98317	+	30.7250i	0.335960	+	1.03398i	−0.630287	+	0.776363i	$0.717063\pi$
$884$	2.66748	+	1.33423i	0.0897169	+	0.0448752i
$885$	−91.7324	−	20.1515i	−3.08355	−	0.677384i
$886$	16.9334	−	4.13205i	0.568889	−	0.138819i
$887$	−18.3388	+	25.2413i	−0.615758	+	0.847518i	−0.997036	−	0.0769423i	$-0.975484\pi$
$887$	−18.3388	+	25.2413i	−0.615758	+	0.847518i	0.381277	+	0.924461i	$0.375484\pi$
$888$	−49.1921	−	11.2307i	−1.65078	−	0.376878i
$889$	10.2686	+	20.1532i	0.344397	+	0.675917i
$890$	0.000982902		0.0425444i	3.29470e−5		0.00142609i
$891$	14.7173	−	92.9214i	0.493048	−	3.11299i
$892$	−10.8962	+	34.4041i	−0.364831	+	1.15193i
$893$	−14.4060	−	14.4060i	−0.482077	−	0.482077i
$894$	26.8272	+	43.4146i	0.897236	+	1.45200i
$895$	−47.7328	+	12.4426i	−1.59553	+	0.415910i
$896$	−13.6012	−	0.714612i	−0.454386	−	0.0238735i
$897$	−25.5002	+	4.03883i	−0.851427	+	0.134853i
$898$	10.0960	−	0.832386i	0.336908	−	0.0277771i
$899$	22.4260	+	22.4260i	0.747950	+	0.747950i
$900$	42.9942	−	65.3206i	1.43314	−	2.17735i
$901$	2.08018			0.0693009
$902$	−29.5526	+	2.86823i	−0.983993	+	0.0955016i
$903$	−2.57501	−	2.57501i	−0.0856908	−	0.0856908i
$904$	19.3157	−	32.3249i	0.642431	−	1.07511i
$905$	−1.97431	+	33.3322i	−0.0656282	+	1.10800i
$906$	59.8979	+	50.7734i	1.98997	+	1.68683i
$907$	2.15954	+	13.6348i	0.0717064	+	0.452737i	0.997251	+	0.0740978i	$0.0236077\pi$
$907$	2.15954	+	13.6348i	0.0717064	+	0.452737i	−0.925545	+	0.378639i	$0.876392\pi$
$908$	−13.8816	+	27.7529i	−0.460677	+	0.921011i
$909$	23.4619	+	11.9544i	0.778182	+	0.396504i
$910$	−4.04246	−	7.50030i	−0.134006	−	0.248633i
$911$	−19.6269			−0.650267			−0.325134	−	0.945668i	$-0.605409\pi$
$911$	−19.6269			−0.650267			−0.325134	+	0.945668i	$0.605409\pi$
$912$	42.1748	+	20.7043i	1.39655	+	0.685588i
$913$	28.1437	−	20.4476i	0.931419	−	0.676716i
$914$	15.5566	−	1.28259i	0.514566	−	0.0424245i
$915$	−1.92342	−	4.40039i	−0.0635863	−	0.145472i
$916$	−21.2397	+	15.6744i	−0.701780	+	0.517896i
$917$	−14.6294	−	10.6288i	−0.483104	−	0.350995i
$918$	−7.75871	+	12.7675i	−0.256075	+	0.421389i
$919$	−0.238166	+	1.50372i	−0.00785637	+	0.0496032i	−0.991305	−	0.131584i	$-0.957994\pi$
$919$	−0.238166	+	1.50372i	−0.00785637	+	0.0496032i	0.983449	+	0.181187i	$0.0579938\pi$
$920$	−21.7905	+	4.13700i	−0.718410	+	0.136393i
$921$	37.2147	+	18.9618i	1.22627	+	0.624814i
$922$	−21.9886	−	13.3623i	−0.724155	−	0.440065i
$923$	−9.36807	−	4.77327i	−0.308354	−	0.157114i
$924$	−21.1217	−	15.1069i	−0.694852	−	0.496981i
$925$	−9.37252	−	25.4456i	−0.308167	−	0.836647i
$926$	1.55938	+	0.368242i	0.0512443	+	0.0121012i
$927$	−121.366	−	61.8392i	−3.98619	−	2.03106i
$928$	48.8305	−	31.1876i	1.60294	−	1.02378i
$929$	−0.857957	−	0.857957i	−0.0281486	−	0.0281486i	0.692892	−	0.721041i	$-0.256336\pi$
$929$	−0.857957	−	0.857957i	−0.0281486	−	0.0281486i	−0.721041	+	0.692892i	$0.756336\pi$
$930$	29.0284	+	13.9558i	0.951879	+	0.457628i
$931$	−19.5765	+	3.10062i	−0.641595	+	0.101619i
$932$	12.8087	+	24.6826i	0.419563	+	0.808506i
$933$	9.90600	−	62.5440i	0.324308	−	2.04760i
$934$	0.435236	−	5.80635i	0.0142414	−	0.189990i
$935$	2.63275	+	4.11508i	0.0861000	+	0.134578i
$936$	31.7278	−	37.9994i	1.03706	−	1.24205i
$937$	−9.28486	+	28.5759i	−0.303323	+	0.933533i	0.676974	+	0.736007i	$0.263291\pi$
$937$	−9.28486	+	28.5759i	−0.303323	+	0.933533i	−0.980298	+	0.197526i	$0.936709\pi$
$938$	1.56406	+	18.9705i	0.0510683	+	0.619407i
$939$	17.6443	+	12.8193i	0.575800	+	0.418343i
$940$	−21.3904	+	13.9105i	−0.697677	+	0.453712i
$941$	−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	$0.850195\pi$
$942$	63.0304	−	54.2399i	2.05364	−	1.76723i
$943$	−21.2534	+	7.24778i	−0.692106	+	0.236020i
$944$	−48.8058	−	15.0586i	−1.58849	−	0.490117i
$945$	39.1070	−	17.0938i	1.27215	−	0.556060i
$946$	−2.78148	−	3.23226i	−0.0904336	−	0.105090i
$947$	2.74007	−	0.433985i	0.0890404	−	0.0141026i	−0.111755	−	0.993736i	$-0.535647\pi$
$947$	2.74007	−	0.433985i	0.0890404	−	0.0141026i	0.200796	+	0.979633i	$0.435647\pi$
$948$	−0.228262	−	30.6705i	−0.00741359	−	0.996130i
$949$	5.77688	−	2.94347i	0.187525	−	0.0955489i
$950$	3.04813	+	25.0647i	0.0988944	+	0.813205i
$951$	12.5740	−	9.13556i	0.407740	−	0.296241i
$952$	1.20695	+	1.92109i	0.0391175	+	0.0622630i
$953$	0.124245	−	0.784452i	0.00402469	−	0.0254109i	−0.985594	−	0.169127i	$-0.945905\pi$
$953$	0.124245	−	0.784452i	0.00402469	−	0.0254109i	0.989619	+	0.143716i	$0.0459052\pi$
$954$	7.93503	−	33.6021i	0.256906	−	1.08791i
$955$	−20.8092	−	17.0866i	−0.673371	−	0.552911i
$956$	0.657774	+	1.97430i	0.0212739	+	0.0638535i
$957$	110.470			3.57099
$958$	−10.4990	−	8.89963i	−0.339207	−	0.287534i
$959$	−2.14582	−	6.60414i	−0.0692920	−	0.213259i
$960$	36.3163	−	46.2984i	1.17210	−	1.49427i
$961$	6.61671	−	20.3641i	0.213442	−	0.656907i
$962$	−4.06940	−	16.6766i	−0.131203	−	0.537677i
$963$	99.9887	+	50.9468i	3.22209	+	1.64174i
$964$	6.64731	+	40.0386i	0.214095	+	1.28956i
$965$	44.4399	+	26.0621i	1.43057	+	0.838967i
$966$	−18.1722	−	7.44808i	−0.584682	−	0.239638i
$967$	25.7223	+	35.4037i	0.827173	+	1.13851i	0.988443	+	0.151596i	$0.0484412\pi$
$967$	25.7223	+	35.4037i	0.827173	+	1.13851i	−0.161269	+	0.986910i	$0.551559\pi$
$968$	0.540629	+	0.451401i	0.0173765	+	0.0145086i
$969$	−1.22429	−	7.72988i	−0.0393300	−	0.248320i
$970$	6.86575	−	50.9373i	0.220446	−	1.63550i
$971$	−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	$0.868249\pi$
$972$	66.6996	+	65.7141i	2.13939	+	2.10778i
$973$	−15.0935	+	10.9661i	−0.483875	+	0.351556i
$974$	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
$977$	29.3793	−	9.54591i	0.939926	−	0.305401i	0.201311	−	0.979527i	$-0.435480\pi$
$977$	29.3793	−	9.54591i	0.939926	−	0.305401i	0.738616	+	0.674127i	$0.235480\pi$
$978$	−50.0961	−	20.5324i	−1.60190	−	0.656554i
$979$	−0.0259359	+	0.0356977i	−0.000828916	+	0.00114090i
$980$	−1.28330	+	24.7905i	−0.0409937	+	0.791903i
$981$	10.2163	+	10.2163i	0.326181	+	0.326181i
$982$	−20.6752	+	8.65423i	−0.659772	+	0.276167i
$983$	−12.7616	−	12.7616i	−0.407032	−	0.407032i	0.473670	−	0.880702i	$-0.342929\pi$
$983$	−12.7616	−	12.7616i	−0.407032	−	0.407032i	−0.880702	+	0.473670i	$0.842929\pi$
$984$	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
$987$	−22.5933			−0.719152
$988$	0.118954	+	15.9833i	0.00378444	+	0.508497i
$989$	−2.60909	−	1.89562i	−0.0829644	−	0.0602771i
$990$	76.5157	−	26.8306i	2.43183	−	0.852732i
$991$	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	$0.469017\pi$
$992$	15.1026	+	8.87268i	0.479508	+	0.281708i
$993$	8.05408	+	8.05408i	0.255588	+	0.255588i
$994$	−4.20420	−	6.80368i	−0.133349	−	0.215800i
$995$	−2.31383	−	3.61661i	−0.0733534	−	0.114654i
$996$	0.519450	+	69.7960i	0.0164594	+	2.21157i
$997$	5.99060	+	1.94646i	0.189724	+	0.0616452i	0.402338	−	0.915491i	$-0.368198\pi$
$997$	5.99060	+	1.94646i	0.189724	+	0.0616452i	−0.212614	+	0.977136i	$0.568198\pi$
$998$	−8.87863	−	0.665530i	−0.281048	−	0.0210670i
$999$	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.bk.c.267.47	yes	960
4.3	odd	2	inner	820.2.bk.c.267.40	yes	960
5.3	odd	4		820.2.bv.c.103.16	yes	960
20.3	even	4		820.2.bv.c.103.21	yes	960
41.2	even	20		820.2.bv.c.207.21	yes	960
164.43	odd	20		820.2.bv.c.207.16	yes	960
205.43	odd	20	inner	820.2.bk.c.43.40	✓	960
820.43	even	20	inner	820.2.bk.c.43.47	yes	960

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
820.2.bk.c.43.40	✓	960	205.43	odd	20	inner
820.2.bk.c.43.47	yes	960	820.43	even	20	inner
820.2.bk.c.267.40	yes	960	4.3	odd	2	inner
820.2.bk.c.267.47	yes	960	1.1	even	1	trivial
820.2.bv.c.103.16	yes	960	5.3	odd	4
820.2.bv.c.103.21	yes	960	20.3	even	4
820.2.bv.c.207.16	yes	960	164.43	odd	20
820.2.bv.c.207.21	yes	960	41.2	even	20

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.bk (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.546054 - 1.30454i) q^{2} -3.28938i q^{3} +(-1.40365 + 1.42470i) q^{4} +(2.22536 - 0.218601i) q^{5} +(-4.29113 + 1.79618i) q^{6} +(-0.372010 - 1.14493i) q^{7} +(2.62505 + 1.05315i) q^{8} -7.82003 q^{9} +(-1.50034 - 2.78370i) q^{10} +(0.512928 - 3.23850i) q^{11} +(4.68638 + 4.61714i) q^{12} +(-0.691618 + 2.12858i) q^{13} +(-1.29047 + 1.11050i) q^{14} +(-0.719060 - 7.32005i) q^{15} +(-0.0595359 - 3.99956i) q^{16} +(-0.539053 + 0.391645i) q^{17} +(4.27016 + 10.2015i) q^{18} +(-3.18160 - 1.62111i) q^{19} +(-2.81218 + 3.47730i) q^{20} +(-3.76611 + 1.22368i) q^{21} +(-4.50484 + 1.09926i) q^{22} +(-3.12469 + 1.59211i) q^{23} +(3.46422 - 8.63478i) q^{24} +(4.90443 - 0.972929i) q^{25} +(3.15448 - 0.260077i) q^{26} +15.8549i q^{27} +(2.15335 + 1.07708i) q^{28} +(-10.1164 + 1.60228i) q^{29} +(-9.15665 + 4.93519i) q^{30} +(-1.82004 - 2.50507i) q^{31} +(-5.18507 + 2.26164i) q^{32} +(-10.6527 - 1.68722i) q^{33} +(0.805269 + 0.489357i) q^{34} +(-1.07814 - 2.46655i) q^{35} +(10.9766 - 11.1412i) q^{36} +(-0.848402 - 5.35660i) q^{37} +(-0.377472 + 5.03574i) q^{38} +(7.00171 + 2.27500i) q^{39} +(6.07188 + 1.76981i) q^{40} +(6.33814 + 0.909921i) q^{41} +(3.65284 + 4.24484i) q^{42} +(0.417497 + 0.819384i) q^{43} +(3.89392 + 5.27649i) q^{44} +(-17.4023 + 1.70946i) q^{45} +(3.78321 + 3.20690i) q^{46} +(5.42624 + 1.76309i) q^{47} +(-13.1561 + 0.195836i) q^{48} +(4.49065 - 3.26265i) q^{49} +(-3.94731 - 5.86675i) q^{50} +(1.28827 + 1.77315i) q^{51} +(-2.06180 - 3.97313i) q^{52} +(-2.52572 - 1.83504i) q^{53} +(20.6833 - 8.65763i) q^{54} +(0.433510 - 7.31895i) q^{55} +(0.229243 - 3.39728i) q^{56} +(-5.33244 + 10.4655i) q^{57} +(7.61434 + 12.3223i) q^{58} +(3.94585 - 12.1441i) q^{59} +(11.4382 + 9.25033i) q^{60} +(0.620962 - 0.201763i) q^{61} +(-2.27412 + 3.74221i) q^{62} +(2.90913 + 8.95338i) q^{63} +(5.78173 + 5.52916i) q^{64} +(-1.07379 + 4.88804i) q^{65} +(3.61589 + 14.8181i) q^{66} +(6.57174 - 9.04522i) q^{67} +(0.198665 - 1.31772i) q^{68} +(5.23705 + 10.2783i) q^{69} +(-2.62900 + 2.75335i) q^{70} +(-0.734882 + 4.63986i) q^{71} +(-20.5279 - 8.23569i) q^{72} +(-2.04839 - 2.04839i) q^{73} +(-6.52463 + 4.03177i) q^{74} +(-3.20033 - 16.1325i) q^{75} +(6.77544 - 2.25736i) q^{76} +(-3.89867 + 0.617489i) q^{77} +(-0.855494 - 10.3763i) q^{78} +(-3.29665 - 3.29665i) q^{79} +(-1.00679 - 8.88743i) q^{80} +28.6927 q^{81} +(-2.27394 - 8.76523i) q^{82} +(7.50211 + 7.50211i) q^{83} +(3.54292 - 7.08319i) q^{84} +(-1.11397 + 0.989387i) q^{85} +(0.840943 - 0.992070i) q^{86} +(5.27051 + 33.2767i) q^{87} +(4.75710 - 7.96102i) q^{88} +(-0.0119906 - 0.00610950i) q^{89} +(11.7327 + 21.7686i) q^{90} +2.69436 q^{91} +(2.11769 - 6.68650i) q^{92} +(-8.24012 + 5.98679i) q^{93} +(-0.662997 - 8.04149i) q^{94} +(-7.43457 - 2.91204i) q^{95} +(7.43940 + 17.0557i) q^{96} +(13.1493 + 9.55353i) q^{97} +(-6.70839 - 4.07665i) q^{98} +(-4.01111 + 25.3252i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 960 q - 10 q^{2} - 20 q^{5} - 16 q^{6} - 22 q^{8} - 960 q^{9} + 20 q^{12} + 12 q^{13} + 8 q^{14} - 28 q^{16} - 52 q^{17} + 12 q^{18} + 14 q^{20} - 40 q^{21} + 18 q^{22} + 48 q^{24} - 4 q^{25} - 20 q^{26}+ \cdots + 42 q^{98}+O(q^{100}) \) 960 * q - 10 * q^2 - 20 * q^5 - 16 * q^6 - 22 * q^8 - 960 * q^9 + 20 * q^12 + 12 * q^13 + 8 * q^14 - 28 * q^16 - 52 * q^17 + 12 * q^18 + 14 * q^20 - 40 * q^21 + 18 * q^22 + 48 * q^24 - 4 * q^25 - 20 * q^26 - 2 * q^28 + 30 * q^30 + 16 * q^33 + 20 * q^34 - 100 * q^36 - 112 * q^37 - 36 * q^38 - 16 * q^40 - 24 * q^41 - 104 * q^42 + 20 * q^45 - 20 * q^46 + 12 * q^48 - 224 * q^49 + 12 * q^50 + 190 * q^52 + 12 * q^53 + 52 * q^54 + 96 * q^56 + 48 * q^57 - 10 * q^58 + 14 * q^60 - 40 * q^61 - 10 * q^62 + 120 * q^64 - 92 * q^65 - 12 * q^66 + 104 * q^69 - 120 * q^70 + 36 * q^72 + 72 * q^73 + 28 * q^74 - 40 * q^76 + 36 * q^77 + 16 * q^78 - 130 * q^80 + 592 * q^81 + 146 * q^82 + 92 * q^84 + 112 * q^85 - 12 * q^86 + 100 * q^88 - 136 * q^89 - 136 * q^90 + 160 * q^92 - 24 * q^93 + 32 * q^94 - 44 * q^96 - 72 * q^97 + 42 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more