LMFDB - Embedded newform 820.2.bk.c.267.40

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)

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);

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")

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			267.40
Character	$\chi$	$=$	820.267
Dual form			820.2.bk.c.43.40

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.734432 - 1.20856i) q^{2} +3.28938i q^{3} +(-0.921218 + 1.77521i) q^{4} +(2.22536 - 0.218601i) q^{5} +(3.97540 - 2.41583i) q^{6} +(0.372010 + 1.14493i) q^{7} +(2.82201 - 0.190425i) q^{8} -7.82003 q^{9} +(-1.89857 - 2.52892i) q^{10} +(-0.512928 + 3.23850i) q^{11} +(-5.83933 - 3.03024i) q^{12} +(-0.691618 + 2.12858i) q^{13} +(1.11050 - 1.29047i) q^{14} +(0.719060 + 7.32005i) q^{15} +(-2.30272 - 3.27070i) q^{16} +(-0.539053 + 0.391645i) q^{17} +(5.74328 + 9.45094i) q^{18} +(3.18160 + 1.62111i) q^{19} +(-1.66198 + 4.15185i) q^{20} +(-3.76611 + 1.22368i) q^{21} +(4.29062 - 1.75856i) q^{22} +(3.12469 - 1.59211i) q^{23} +(0.626381 + 9.28266i) q^{24} +(4.90443 - 0.972929i) q^{25} +(3.08046 - 0.727440i) q^{26} -15.8549i q^{27} +(-2.37519 - 0.394335i) q^{28} +(-10.1164 + 1.60228i) q^{29} +(8.31859 - 6.24510i) q^{30} +(1.82004 + 2.50507i) q^{31} +(-2.26164 + 5.18507i) q^{32} +(-10.6527 - 1.68722i) q^{33} +(0.869223 + 0.363839i) q^{34} +(1.07814 + 2.46655i) q^{35} +(7.20395 - 13.8822i) q^{36} +(-0.848402 - 5.35660i) q^{37} +(-0.377472 - 5.03574i) 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} +(-0.417497 - 0.819384i) q^{43} +(-5.27649 - 3.89392i) q^{44} +(-17.4023 + 1.70946i) q^{45} +(-4.21902 - 2.60706i) q^{46} +(-5.42624 - 1.76309i) q^{47} +(10.7586 - 7.57451i) q^{48} +(4.49065 - 3.26265i) q^{49} +(-4.77781 - 5.21273i) q^{50} +(-1.28827 - 1.77315i) q^{51} +(-3.14154 - 3.18865i) q^{52} +(-2.52572 - 1.83504i) q^{53} +(-19.1615 + 11.6444i) q^{54} +(-0.433510 + 7.31895i) q^{55} +(1.26784 + 3.16016i) q^{56} +(-5.33244 + 10.4655i) q^{57} +(9.36625 + 11.0495i) q^{58} +(-3.94585 + 12.1441i) q^{59} +(-13.6570 - 5.46688i) q^{60} +(0.620962 - 0.201763i) q^{61} +(1.69082 - 4.03942i) q^{62} +(-2.90913 - 8.95338i) q^{63} +(7.92748 - 1.07476i) q^{64} +(-1.07379 + 4.88804i) q^{65} +(5.78457 + 14.1135i) q^{66} +(-6.57174 + 9.04522i) q^{67} +(-0.198665 - 1.31772i) q^{68} +(5.23705 + 10.2783i) q^{69} +(2.18915 - 3.11451i) q^{70} +(0.734882 - 4.63986i) q^{71} +(-22.0682 + 1.48913i) q^{72} +(-2.04839 - 2.04839i) q^{73} +(-5.85066 + 4.95941i) q^{74} +(3.20033 + 16.1325i) q^{75} +(-5.80875 + 4.15461i) q^{76} +(-3.89867 + 0.617489i) q^{77} +(2.39283 + 10.1328i) q^{78} +(3.29665 + 3.29665i) q^{79} +(-5.83934 - 6.77511i) q^{80} +28.6927 q^{81} +(-3.55525 - 8.32828i) q^{82} +(-7.50211 - 7.50211i) q^{83} +(1.29712 - 7.81290i) q^{84} +(-1.11397 + 0.989387i) q^{85} +(-0.683649 + 1.10635i) q^{86} +(-5.27051 - 33.2767i) q^{87} +(-0.830796 + 9.23676i) q^{88} +(-0.0119906 - 0.00610950i) q^{89} +(14.8468 + 19.7762i) q^{90} -2.69436 q^{91} +(-0.0521983 + 7.01364i) q^{92} +(-8.24012 + 5.98679i) q^{93} +(1.85441 + 7.85279i) q^{94} +(7.43457 + 2.91204i) q^{95} +(-17.0557 - 7.43940i) q^{96} +(13.1493 + 9.55353i) q^{97} +(-7.24117 - 3.03101i) 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 $

$2$	−0.734432	−	1.20856i	−0.519322	−	0.854579i
$2$	−0.734432	−	1.20856i	−0.519322	−	0.854579i
$3$			3.28938i			1.89912i	0.313578	+	0.949562i	$0.398472\pi$
$3$			3.28938i			1.89912i	−0.313578	+	0.949562i	$0.601528\pi$
$4$	−0.921218	+	1.77521i	−0.460609	+	0.887603i
$5$	2.22536	−	0.218601i	0.995210	−	0.0977611i
$5$	2.22536	−	0.218601i	0.995210	−	0.0977611i
$6$	3.97540	−	2.41583i	1.62295	−	0.986258i
$7$	0.372010	+	1.14493i	0.140607	+	0.432743i	0.996420	−	0.0845422i	$-0.0269428\pi$
$7$	0.372010	+	1.14493i	0.140607	+	0.432743i	−0.855813	+	0.517285i	$0.826943\pi$
$8$	2.82201	−	0.190425i	0.997731	−	0.0673255i
$9$	−7.82003			−2.60668
$10$	−1.89857	−	2.52892i	−0.600379	−	0.799716i
$11$	−0.512928	+	3.23850i	−0.154654	+	0.976445i	0.781257	+	0.624209i	$0.214579\pi$
$11$	−0.512928	+	3.23850i	−0.154654	+	0.976445i	−0.935911	+	0.352236i	$0.885421\pi$
$12$	−5.83933	−	3.03024i	−1.68567	−	0.874754i
$13$	−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	$0.999546\pi$
$14$	1.11050	−	1.29047i	0.296792	−	0.344892i
$15$	0.719060	+	7.32005i	0.185661	+	1.89003i
$16$	−2.30272	−	3.27070i	−0.575679	−	0.817676i
$17$	−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	$0.325748\pi$
$18$	5.74328	+	9.45094i	1.35370	+	2.22761i
$19$	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	$0.515669\pi$
$20$	−1.66198	+	4.15185i	−0.371630	+	0.928381i
$21$	−3.76611	+	1.22368i	−0.821832	+	0.267029i
$22$	4.29062	−	1.75856i	0.914764	−	0.374926i
$23$	3.12469	−	1.59211i	0.651542	−	0.331977i	−0.0967869	−	0.995305i	$-0.530857\pi$
$23$	3.12469	−	1.59211i	0.651542	−	0.331977i	0.748329	+	0.663328i	$0.230857\pi$
$24$	0.626381	+	9.28266i	0.127859	+	1.89482i
$25$	4.90443	−	0.972929i	0.980886	−	0.194586i
$26$	3.08046	−	0.727440i	0.604128	−	0.142663i
$27$		−	15.8549i		−	3.05128i
$28$	−2.37519	−	0.394335i	−0.448868	−	0.0745223i
$29$	−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	$0.849934\pi$
$30$	8.31859	−	6.24510i	1.51876	−	1.14019i
$31$	1.82004	+	2.50507i	0.326888	+	0.449923i	0.940555	−	0.339642i	$-0.110306\pi$
$31$	1.82004	+	2.50507i	0.326888	+	0.449923i	−0.613666	+	0.789565i	$0.710306\pi$
$32$	−2.26164	+	5.18507i	−0.399806	+	0.916600i
$33$	−10.6527	−	1.68722i	−1.85439	−	0.293707i
$34$	0.869223	+	0.363839i	0.149071	+	0.0623979i
$35$	1.07814	+	2.46655i	0.182238	+	0.416924i
$36$	7.20395	−	13.8822i	1.20066	−	2.31369i
$37$	−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
$40$	6.23835	−	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
$43$	−0.417497	−	0.819384i	−0.0636677	−	0.124955i	0.856980	−	0.515350i	$-0.172338\pi$
$43$	−0.417497	−	0.819384i	−0.0636677	−	0.124955i	−0.920647	+	0.390396i	$0.872338\pi$
$44$	−5.27649	−	3.89392i	−0.795461	−	0.587031i
$45$	−17.4023	+	1.70946i	−2.59419	+	0.254832i
$46$	−4.21902	−	2.60706i	−0.622061	−	0.384391i
$47$	−5.42624	−	1.76309i	−0.791498	−	0.257173i	−0.114756	−	0.993394i	$-0.536609\pi$
$47$	−5.42624	−	1.76309i	−0.791498	−	0.257173i	−0.676742	+	0.736220i	$0.736609\pi$
$48$	10.7586	−	7.57451i	1.55287	−	1.09329i
$49$	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
$52$	−3.14154	−	3.18865i	−0.435653	−	0.442187i
$53$	−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	$0.768785\pi$
$54$	−19.1615	+	11.6444i	−2.60756	+	1.58460i
$55$	−0.433510	+	7.31895i	−0.0584545	+	0.986887i
$56$	1.26784	+	3.16016i	0.169422	+	0.422294i
$57$	−5.33244	+	10.4655i	−0.706299	+	1.38619i
$58$	9.36625	+	11.0495i	1.22985	+	1.45087i
$59$	−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	$0.787659\pi$
$60$	−13.6570	−	5.46688i	−1.76311	−	0.705771i
$61$	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	$0.386691\pi$
$62$	1.69082	−	4.03942i	0.214734	−	0.513007i
$63$	−2.90913	−	8.95338i	−0.366516	−	1.12802i
$64$	7.92748	−	1.07476i	0.990935	−	0.134345i
$65$	−1.07379	+	4.88804i	−0.133187	+	0.606287i
$66$	5.78457	+	14.1135i	0.712031	+	1.73725i
$67$	−6.57174	+	9.04522i	−0.802866	+	1.10505i	0.189520	+	0.981877i	$0.439307\pi$
$67$	−6.57174	+	9.04522i	−0.802866	+	1.10505i	−0.992385	+	0.123173i	$0.960693\pi$
$68$	−0.198665	−	1.31772i	−0.0240917	−	0.159797i
$69$	5.23705	+	10.2783i	0.630466	+	1.23736i
$70$	2.18915	−	3.11451i	0.261654	−	0.372255i
$71$	0.734882	−	4.63986i	0.0872144	−	0.550650i	−0.904931	−	0.425559i	$-0.860078\pi$
$71$	0.734882	−	4.63986i	0.0872144	−	0.550650i	0.992145	−	0.125091i	$-0.0399224\pi$
$72$	−22.0682	+	1.48913i	−2.60076	+	0.175496i
$73$	−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	$0.804224\pi$
$74$	−5.85066	+	4.95941i	−0.680126	+	0.576519i
$75$	3.20033	+	16.1325i	0.369543	+	1.86282i
$76$	−5.80875	+	4.15461i	−0.666309	+	0.476566i
$77$	−3.89867	+	0.617489i	−0.444295	+	0.0703694i
$78$	2.39283	+	10.1328i	0.270934	+	1.14731i
$79$	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	$0.665530\pi$
$80$	−5.83934	−	6.77511i	−0.652858	−	0.757480i
$81$	28.6927			3.18808
$82$	−3.55525	−	8.32828i	−0.392611	−	0.919705i
$83$	−7.50211	−	7.50211i	−0.823464	−	0.823464i	0.163139	−	0.986603i	$-0.447838\pi$
$83$	−7.50211	−	7.50211i	−0.823464	−	0.823464i	−0.986603	+	0.163139i	$0.947838\pi$
$84$	1.29712	−	7.81290i	0.141527	−	0.852457i
$85$	−1.11397	+	0.989387i	−0.120827	+	0.107314i
$86$	−0.683649	+	1.10635i	−0.0737197	+	0.119301i
$87$	−5.27051	−	33.2767i	−0.565058	−	3.56763i
$88$	−0.830796	+	9.23676i	−0.0885632	+	0.984642i
$89$	−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	$0.650227\pi$
$90$	14.8468	+	19.7762i	1.56499	+	2.08460i
$91$	−2.69436			−0.282446
$92$	−0.0521983	+	7.01364i	−0.00544205	+	0.731222i
$93$	−8.24012	+	5.98679i	−0.854460	+	0.620802i
$94$	1.85441	+	7.85279i	0.191268	+	0.809953i
$95$	7.43457	+	2.91204i	0.762771	+	0.298769i
$96$	−17.0557	−	7.43940i	−1.74074	−	0.759281i
$97$	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	$0.391094\pi$
$98$	−7.24117	−	3.03101i	−0.731469	−	0.306178i
$99$	4.01111	−	25.3252i	0.403132	−	2.54528i
$100$	−2.79090	+	9.60265i	−0.279090	+	0.960265i
$101$	−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	$0.703578\pi$
$102$	−1.19681	+	2.85921i	−0.118501	+	0.283104i
$103$	−15.5199	−	7.90780i	−1.52922	−	0.779178i	−0.531529	−	0.847040i	$-0.678382\pi$
$103$	−15.5199	−	7.90780i	−1.52922	−	0.779178i	−0.997695	+	0.0678617i	$0.978382\pi$
$104$	−1.54642	+	6.13858i	−0.151639	+	0.601937i
$105$	−8.11344	+	3.54640i	−0.791790	+	0.346094i
$106$	−0.362782	+	4.40019i	−0.0352365	+	0.427384i
$107$	12.7862	+	6.51491i	1.23609	+	0.629821i	0.945061	−	0.326893i	$-0.106002\pi$
$107$	12.7862	+	6.51491i	1.23609	+	0.629821i	0.291031	+	0.956714i	$0.406002\pi$
$108$	28.1457	+	14.6058i	2.70832	+	1.40545i
$109$	−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	$0.778202\pi$
$110$	9.16375	−	4.85135i	0.873729	−	0.462558i
$111$	17.6199	−	2.79072i	1.67241	−	0.264883i
$112$	2.88809	−	3.85318i	0.272899	−	0.364091i
$113$	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
$116$	6.47503	−	19.4347i	0.601191	−	1.80447i
$117$	5.40847	−	16.6456i	0.500013	−	1.53888i
$118$	17.5747	−	4.15022i	1.61789	−	0.382058i
$119$	−0.648939	−	0.471482i	−0.0594881	−	0.0432207i
$120$	3.42312	+	20.5203i	0.312486	+	1.87324i
$121$	0.236821	+	0.0769480i	0.0215292	+	0.00699527i
$122$	−0.699896	−	0.602286i	−0.0633656	−	0.0545284i
$123$	−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
$126$	−8.68410	+	10.0915i	−0.773641	+	0.899022i
$127$	18.5571	−	2.93916i	1.64668	−	0.260808i	0.736931	−	0.675968i	$-0.236274\pi$
$127$	18.5571	−	2.93916i	1.64668	−	0.260808i	0.909749	+	0.415160i	$0.136274\pi$
$128$	−7.12111	−	8.79146i	−0.629423	−	0.777063i
$129$	2.69527	−	1.37331i	0.237305	−	0.120913i
$130$	6.69610	−	2.29220i	0.587287	−	0.201040i
$131$	−12.1521	+	8.82905i	−1.06174	+	0.771397i	−0.974409	−	0.224782i	$-0.927833\pi$
$131$	−12.1521	+	8.82905i	−1.06174	+	0.771397i	−0.0873282	+	0.996180i	$0.527833\pi$
$132$	12.8086	−	17.3564i	1.11484	−	1.51068i
$133$	−0.672465	+	4.24578i	−0.0583101	+	0.368155i
$134$	15.7582	+	1.29921i	1.36130	+	0.112235i
$135$	−3.46589	−	35.2828i	−0.298296	−	3.03666i
$136$	−1.44663	+	1.20788i	−0.124048	+	0.103574i
$137$	5.76817			0.492808			0.246404	−	0.969167i	$-0.420751\pi$
$137$	5.76817			0.492808			0.246404	+	0.969167i	$0.420751\pi$
$138$	8.57563	−	13.8780i	0.730006	−	1.18137i
$139$	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	$0.671725\pi$
$140$	−5.37184	−	0.358318i	−0.454004	−	0.0302834i
$141$	5.79948	−	17.8490i	0.488404	−	1.50315i
$142$	−6.14726	+	2.51952i	−0.515866	+	0.211433i
$143$	−6.53867	−	3.33162i	−0.546791	−	0.278604i
$144$	18.0073	+	25.5770i	1.50061	+	2.13142i
$145$	−22.1623	+	5.77709i	−1.84048	+	0.479762i
$146$	−0.971192	+	3.98000i	−0.0803765	+	0.329388i
$147$	10.7321	+	14.7714i	0.885168	+	1.21833i
$148$	10.2906	+	3.42851i	0.845885	+	0.281822i
$149$	−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	$-0.198354\pi$
$150$	17.1466	−	15.7160i	1.40002	−	1.28321i
$151$	7.66317	+	15.0398i	0.623620	+	1.22392i	0.959418	+	0.281989i	$0.0909942\pi$
$151$	7.66317	+	15.0398i	0.623620	+	1.22392i	−0.335797	+	0.941934i	$0.609006\pi$
$152$	9.28721	+	3.96892i	0.753292	+	0.321922i
$153$	4.21541	−	3.06267i	0.340796	−	0.247603i
$154$	3.60958	+	4.25826i	0.290868	+	0.343140i
$155$	4.59784	+	5.17681i	0.369307	+	0.415811i
$156$	10.4887	−	10.3337i	0.839767	−	0.827360i
$157$	−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	$0.652807\pi$
$158$	1.56302	−	6.40536i	0.124347	−	0.509583i
$159$	6.03615	−	8.30805i	0.478698	−	0.658871i
$160$	−3.89950	+	12.0330i	−0.308283	+	0.951295i
$161$	2.98526	+	2.98526i	0.235272	+	0.235272i
$162$	−21.0729	−	34.6768i	−1.65564	−	2.72446i
$163$	−8.22960	−	8.22960i	−0.644592	−	0.644592i	0.307089	−	0.951681i	$-0.400645\pi$
$163$	−8.22960	−	8.22960i	−0.644592	−	0.644592i	−0.951681	+	0.307089i	$0.900645\pi$
$164$	−7.45411	+	10.4133i	−0.582068	+	0.813140i
$165$	−24.0748	−	1.42598i	−1.87422	−	0.111012i
$166$	−3.55693	+	14.5765i	−0.276072	+	1.13136i
$167$	11.3541			0.878609			0.439304	−	0.898338i	$-0.355225\pi$
$167$	11.3541			0.878609			0.439304	+	0.898338i	$0.355225\pi$
$168$	−10.3950	+	4.17041i	−0.801990	+	0.321754i
$169$	6.46470	+	4.69688i	0.497284	+	0.361298i
$170$	2.01387	+	0.619660i	0.154457	+	0.0475257i
$171$	−24.8802	−	12.6771i	−1.90264	−	0.969442i
$172$	1.83918	+	0.0136879i	0.140236	+	0.00104369i
$173$	−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	$0.767648\pi$
$174$	−36.3459	+	30.8092i	−2.75538	+	2.33564i
$175$	2.93843	+	5.25328i	0.222124	+	0.397111i
$176$	11.7733	−	5.77971i	0.887447	−	0.435662i
$177$	−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	0.725737	−	0.687973i	$-0.241499\pi$
$179$	21.7885	−	3.45096i	1.62855	−	0.257937i	0.902812	+	0.430036i	$0.141499\pi$
$180$	12.9967	−	32.4675i	0.968717	−	2.41999i
$181$	−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	$0.862729\pi$
$182$	1.97883	+	3.25629i	0.146681	+	0.241372i
$183$	0.663674	+	2.04258i	0.0490602	+	0.150992i
$184$	8.51472	−	5.08796i	0.627713	−	0.375089i
$185$	−3.05895	−	11.7349i	−0.224899	−	0.862766i
$186$	13.2872	+	5.56175i	0.974264	+	0.407807i
$187$	−0.991848	−	1.94661i	−0.0725311	−	0.142350i
$188$	8.12860	−	8.00850i	0.592839	−	0.584080i
$189$	18.1527	−	5.89818i	1.32042	−	0.429030i
$190$	−1.94082	−	11.1238i	−0.140802	−	0.807005i
$191$	8.51456	+	8.51456i	0.616092	+	0.616092i	0.944527	−	0.328435i	$-0.106521\pi$
$191$	8.51456	+	8.51456i	0.616092	+	0.616092i	−0.328435	+	0.944527i	$0.606521\pi$
$192$	3.53531	+	26.0765i	0.255139	+	1.88191i
$193$	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	$0.388787\pi$
$194$	1.88871	−	22.9081i	0.135601	−	1.64471i
$195$	−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	$-0.0796586\pi$
$198$	−33.5528	+	13.7520i	−2.38449	+	0.977310i
$199$	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	$0.828320\pi$
$200$	13.6551	−	3.67954i	0.965559	−	0.260183i
$201$	−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
$210$	10.2448	+	7.20095i	0.706959	+	0.496913i
$211$	12.5686	−	6.40402i	0.865259	−	0.440871i	0.0357471	−	0.999361i	$-0.488619\pi$
$211$	12.5686	−	6.40402i	0.865259	−	0.440871i	0.829512	+	0.558490i	$0.188619\pi$
$212$	5.58432	−	2.79320i	0.383532	−	0.191838i
$213$	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
$216$	−3.01917	−	44.7427i	−0.205429	−	3.04435i
$217$	−2.19105	+	3.01572i	−0.148738	+	0.204721i
$218$	−0.619409	+	2.53837i	−0.0419516	+	0.171920i
$219$	6.73794	−	6.73794i	0.455308	−	0.455308i
$220$	−12.5933	−	7.51192i	−0.849039	−	0.506453i
$221$	−0.460829	−	1.41829i	−0.0309987	−	0.0954043i
$222$	−16.3134	−	19.2451i	−1.09488	−	1.29164i
$223$	−16.0775	+	8.19188i	−1.07663	+	0.548569i	−0.900080	−	0.435724i	$-0.856492\pi$
$223$	−16.0775	+	8.19188i	−1.07663	+	0.548569i	−0.176546	+	0.984292i	$0.556492\pi$
$224$	−6.77789	−	0.660521i	−0.452867	−	0.0441329i
$225$	−38.3527	+	7.60833i	−2.55685	+	0.507222i
$226$	−17.4216	+	7.14045i	−1.15887	+	0.474975i
$227$	−14.7561	+	4.79454i	−0.979396	+	0.318225i	−0.754603	−	0.656181i	$-0.772171\pi$
$227$	−14.7561	+	4.79454i	−0.979396	+	0.318225i	−0.224793	+	0.974407i	$0.572171\pi$
$228$	−13.6661	−	19.1072i	−0.905058	−	1.26540i
$229$	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	$0.406362\pi$
$230$	−9.95873	−	4.87937i	−0.656660	−	0.321736i
$231$	−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	$-0.0505192\pi$
$234$	−24.0893	+	5.68860i	−1.57476	+	0.371875i
$235$	−12.4607	−	2.73733i	−0.812848	−	0.178564i
$236$	−17.9232	−	18.1920i	−1.16670	−	1.18420i
$237$	−10.8439	+	10.8439i	−0.704390	+	0.704390i
$238$	−0.0932105	+	1.13055i	−0.00604194	+	0.0732827i
$239$	−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	$0.160714\pi$
$240$	22.2859	−	19.2078i	1.43855	−	1.23986i
$241$	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	$-0.0267437\pi$
$242$	−0.0809334	−	0.342725i	−0.00520260	−	0.0220312i
$243$			46.8166i			3.00329i
$244$	−0.213871	+	1.28820i	−0.0136917	+	0.0824687i
$245$	9.28008	−	8.24221i	0.592882	−	0.526576i
$246$	27.3949	−	11.6946i	1.74663	−	0.745618i
$247$	−5.65111	+	5.65111i	−0.359572	+	0.359572i
$248$	5.61319	+	6.72274i	0.356438	+	0.426894i
$249$	24.6773	−	24.6773i	1.56386	−	1.56386i
$250$	−11.7718	−	10.5557i	−0.744516	−	0.667604i
$251$	23.1444	+	16.8154i	1.46086	+	1.06138i	0.983138	+	0.182866i	$0.0585373\pi$
$251$	23.1444	+	16.8154i	1.46086	+	1.06138i	0.477722	+	0.878511i	$0.341463\pi$
$252$	18.5740	+	3.08371i	1.17005	+	0.194255i
$253$	3.55330	+	10.9359i	0.223394	+	0.687536i
$254$	−17.1811	−	20.2687i	−1.07804	−	1.27177i
$255$	−3.25447	−	3.66428i	−0.203803	−	0.229466i
$256$	−5.39501	+	15.0630i	−0.337188	+	0.941437i
$257$	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	$0.670855\pi$
$258$	−3.63921	−	2.24878i	−0.226567	−	0.140003i
$259$	5.81732	−	2.96407i	0.361470	−	0.184178i
$260$	−7.68809	−	6.40915i	−0.476795	−	0.397478i
$261$	79.1105	−	12.5299i	4.89681	−	0.775579i
$262$	19.5953	+	8.20221i	1.21060	+	0.506734i
$263$	19.6331	−	14.2643i	1.21063	−	0.879574i	0.215342	−	0.976539i	$-0.430913\pi$
$263$	19.6331	−	14.2643i	1.21063	−	0.879574i	0.995288	+	0.0969642i	$0.0309132\pi$
$264$	−30.3832	−	2.73281i	−1.86996	−	0.168193i
$265$	−6.02177	−	3.53150i	−0.369914	−	0.216938i
$266$	5.62514	−	2.30552i	0.344900	−	0.141361i
$267$	0.0200965	−	0.0394415i	0.00122988	−	0.00241378i
$268$	−10.0031	−	19.9988i	−0.611039	−	1.22162i
$269$	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	$0.593200\pi$
$270$	−40.0958	+	30.1016i	−2.44015	+	1.83192i
$271$	12.1838	−	3.95877i	0.740116	−	0.240478i	0.0853930	−	0.996347i	$-0.472785\pi$
$271$	12.1838	−	3.95877i	0.740116	−	0.240478i	0.654723	+	0.755869i	$0.272785\pi$
$272$	2.52224	+	0.861236i	0.152933	+	0.0522201i
$273$		−	8.86279i		−	0.536400i
$274$	−4.23633	−	6.97115i	−0.255926	−	0.421143i
$275$	0.635211	+	16.3820i	0.0383047	+	0.987874i
$276$	−23.0705	−	0.171700i	−1.38868	−	0.0103351i
$277$	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	$0.381193\pi$
$278$	14.2957	−	16.6125i	0.857396	−	0.996351i
$279$	−14.2327	−	19.5897i	−0.852092	−	1.17280i
$280$	3.51221	+	6.75534i	0.209895	+	0.403709i
$281$	−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	$0.992281\pi$
$282$	−25.8308	+	6.09986i	−1.53820	+	0.363241i
$283$	−1.89380	−	11.9570i	−0.112575	−	0.710767i	−0.977824	−	0.209427i	$-0.932840\pi$
$283$	−1.89380	−	11.9570i	−0.112575	−	0.710767i	0.865250	−	0.501341i	$-0.167160\pi$
$284$	7.55973	+	5.57889i	0.448587	+	0.331046i
$285$	−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
$288$	17.6861	−	40.5474i	1.04216	−	2.38928i
$289$	−5.11610	+	15.7457i	−0.300947	+	0.926219i
$290$	23.2587	+	22.5415i	1.36580	+	1.32369i
$291$	−31.4252	+	43.2531i	−1.84218	+	2.53554i
$292$	5.52334	−	1.74930i	0.323229	−	0.102370i
$293$	−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	$0.601050\pi$
$294$	9.97014	−	23.8190i	0.581470	−	1.38915i
$295$	−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
$298$	−11.8351	+	10.0322i	−0.685587	+	0.581148i
$299$	1.22784	+	7.75228i	0.0710078	+	0.448326i
$300$	−31.5868	−	9.18033i	−1.82366	−	0.530026i
$301$	0.782824	−	0.782824i	0.0451212	−	0.0451212i
$302$	12.5484	−	20.3071i	0.722079	−	1.16854i
$303$	5.02846	−	9.86891i	0.288878	−	0.566954i
$304$	−2.02416	−	14.1390i	−0.116094	−	0.810928i
$305$	1.33776	−	0.584737i	0.0765997	−	0.0334819i
$306$	−6.79735	−	2.84523i	−0.388579	−	0.162651i
$307$	5.76456	−	11.3136i	0.329001	−	0.645700i	−0.665958	−	0.745990i	$-0.731977\pi$
$307$	5.76456	−	11.3136i	0.329001	−	0.645700i	0.994958	+	0.100289i	$0.0319768\pi$
$308$	2.49536	−	7.48979i	0.142186	−	0.426770i
$309$	26.0118	−	51.0509i	1.47976	−	2.90419i
$310$	2.87966	−	9.35877i	0.163554	−	0.531542i
$311$	−19.0139	−	3.01151i	−1.07818	−	0.170767i	−0.408012	−	0.912976i	$-0.633778\pi$
$311$	−19.0139	−	3.01151i	−1.07818	−	0.170767i	−0.670168	+	0.742209i	$0.733778\pi$
$312$	−20.1921	−	5.08676i	−1.14315	−	0.287981i
$313$	−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	$0.260001\pi$
$314$	19.1618	+	16.4894i	1.08136	+	0.930551i
$315$	−8.43106	−	19.2885i	−0.475037	−	1.08679i
$316$	−8.88917	+	2.81530i	−0.500055	+	0.158373i
$317$	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	$0.757638\pi$
$318$	−14.4739	−	1.19333i	−0.811656	−	0.0669186i
$319$		−	33.5838i		−	1.88033i
$320$	17.4065	−	4.12468i	0.973054	−	0.230577i
$321$	−21.4300	+	42.0588i	−1.19611	+	2.34749i
$322$	1.41539	−	5.80034i	0.0788764	−	0.323240i
$323$	−2.34995	+	0.372196i	−0.130755	+	0.0207095i
$324$	−26.4322	+	50.9355i	−1.46846	+	2.82975i
$325$	−1.32103	+	11.1124i	−0.0732777	+	0.616403i
$326$	−3.90185	+	15.9900i	−0.216103	+	0.885605i
$327$	4.29734	−	4.29734i	0.237643	−	0.237643i
$328$	18.0596	+	1.36086i	0.997173	+	0.0751412i
$329$		−	6.86855i		−	0.378675i
$330$	15.9579	+	30.1431i	0.878456	+	1.65932i
$331$	2.44851	−	2.44851i	0.134582	−	0.134582i	−0.636607	−	0.771189i	$-0.719662\pi$
$331$	2.44851	−	2.44851i	0.134582	−	0.134582i	0.771189	+	0.636607i	$0.219662\pi$
$332$	20.2289	−	6.40672i	1.11020	−	0.351614i
$333$	6.63453	+	41.8888i	0.363570	+	2.29549i
$334$	−8.33884	−	13.7221i	−0.456281	−	0.750840i
$335$	−12.6472	+	21.5654i	−0.690989	+	1.17825i
$336$	12.6746	+	9.50003i	0.691455	+	0.518269i
$337$	−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	$0.250726\pi$
$338$	0.928559	−	11.2625i	0.0505069	−	0.612599i
$339$	43.2541	+	6.85077i	2.34924	+	0.372083i
$340$	−0.730156	−	2.88897i	−0.0395983	−	0.156676i
$341$	−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
$344$	−1.33421	−	2.23281i	−0.0719359	−	0.120385i
$345$	13.9011	+	21.7280i	0.748412	+	1.16980i
$346$	−0.488707	+	2.00275i	−0.0262730	+	0.107668i
$347$	−3.36935	+	1.09477i	−0.180876	+	0.0587702i	−0.398055	−	0.917362i	$-0.630315\pi$
$347$	−3.36935	+	1.09477i	−0.180876	+	0.0587702i	0.217179	+	0.976132i	$0.430315\pi$
$348$	63.9283	+	21.2988i	3.42691	+	1.14174i
$349$	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	$0.727617\pi$
$350$	4.19081	−	7.40944i	0.224008	−	0.396051i
$351$	33.7484	+	10.9655i	1.80136	+	0.585297i
$352$	−15.6318	−	9.98390i	−0.833178	−	0.532144i
$353$	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	$0.645825\pi$
$354$	13.6516	+	57.8100i	0.725577	+	3.07257i
$355$	0.621098	−	10.4860i	0.0329645	−	0.556539i
$356$	0.0218915	−	0.0156575i	0.00116025	−	0.000829848i
$357$	1.55088	−	2.13461i	0.0820814	−	0.112975i
$358$	−20.1729	−	23.7981i	−1.06617	−	1.25777i
$359$	−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
$362$	19.5405	−	8.00888i	1.02703	−	0.420938i
$363$	−0.253111	+	0.778996i	−0.0132849	+	0.0408867i
$364$	2.48210	−	4.78305i	0.130097	−	0.250700i
$365$	−5.00618	−	4.11063i	−0.262036	−	0.215160i
$366$	1.98115	−	2.30222i	0.103556	−	0.120339i
$367$	−16.5776	+	8.44671i	−0.865344	+	0.440915i	−0.829542	−	0.558444i	$-0.811399\pi$
$367$	−16.5776	+	8.44671i	−0.865344	+	0.440915i	−0.0358019	+	0.999359i	$0.511399\pi$
$368$	−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
$372$	−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	$0.105785\pi$
$374$	−1.62414	+	2.62836i	−0.0839825	+	0.135909i
$375$	10.6485	+	35.2010i	0.549884	+	1.81777i
$376$	−15.6486	−	3.94217i	−0.807017	−	0.203302i
$377$	3.58610	−	22.6417i	0.184693	−	1.16611i
$378$	−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	$0.904111\pi$
$380$	−12.0183	+	10.5153i	−0.616528	+	0.539422i
$381$	9.66802	+	61.0415i	0.495308	+	3.12725i
$382$	4.03696	−	16.5437i	0.206549	−	0.846449i
$383$	21.1431			1.08036			0.540181	−	0.841549i	$-0.318356\pi$
$383$	21.1431			1.08036			0.540181	+	0.841549i	$0.318356\pi$
$384$	28.9185	−	23.4240i	1.47574	−	1.19535i
$385$	−8.54095	+	2.22638i	−0.435287	+	0.113467i
$386$	2.67729	−	32.4729i	0.136270	−	1.65283i
$387$	3.26484	+	6.40761i	0.165961	+	0.325717i
$388$	−29.0729	+	14.5419i	−1.47595	+	0.738251i
$389$	−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	$-0.278062\pi$
$390$	7.53993	+	22.0260i	0.381799	+	1.11533i
$391$	−1.06083	+	2.08200i	−0.0536485	+	0.105291i
$392$	12.0514	−	10.0624i	0.608686	−	0.508225i
$393$	−29.0421	−	39.9730i	−1.46498	−	2.01637i
$394$	−14.5524	+	5.96444i	−0.733138	+	0.300484i
$395$	8.05688	+	6.61558i	0.405386	+	0.332866i
$396$	41.2623	+	30.4506i	2.07351	+	1.53020i
$397$	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	$0.525463\pi$
$398$	1.42741	−	2.30998i	0.0715494	−	0.115789i
$399$	−13.9660	−	2.21199i	−0.699173	−	0.110738i
$400$	−14.4757	−	13.8006i	−0.723783	−	0.690028i
$401$			29.3822i			1.46728i	0.679539	+	0.733639i	$0.262180\pi$
$401$			29.3822i			1.46728i	−0.679539	+	0.733639i	$0.737820\pi$
$402$	−4.27361	+	51.8346i	−0.213148	+	2.58527i
$403$	−6.59101	+	2.14155i	−0.328321	+	0.106678i
$404$	5.47762	−	3.91777i	0.272522	−	0.194916i
$405$	63.8515	−	6.27224i	3.17281	−	0.311670i
$406$	−9.16652	+	14.8342i	−0.454927	+	0.736210i
$407$	17.7825			0.881448
$408$	−3.97316	−	4.75853i	−0.196701	−	0.235582i
$409$			2.55811i			0.126490i	0.997998	+	0.0632451i	$0.0201450\pi$
$409$			2.55811i			0.126490i	−0.997998	+	0.0632451i	$0.979855\pi$
$410$	−9.73226	−	17.7562i	−0.480642	−	0.876917i
$411$			18.9737i			0.935903i
$412$	28.3352	−	20.2663i	1.39598	−	0.998447i
$413$	−15.3720			−0.756406
$414$	32.9929	+	20.3873i	1.62151	+	1.00198i
$415$	−18.3348	−	15.0549i	−0.900022	−	0.739017i
$416$	−9.47266	−	8.40018i	−0.464435	−	0.411853i
$417$	−48.4819	+	15.7527i	−2.37417	+	0.771415i
$418$	16.5019	+	1.36053i	0.807133	+	0.0665457i
$419$		−	21.9886i		−	1.07421i	−0.843515	−	0.537106i	$-0.819517\pi$
$419$		−	21.9886i		−	1.07421i	0.843515	−	0.537106i	$-0.180483\pi$
$420$	1.17864	−	17.6700i	0.0575120	−	0.862210i
$421$	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	$0.460356\pi$
$422$	−16.9704	−	10.4865i	−0.826107	−	0.510477i
$423$	42.4333	+	13.7874i	2.06318	+	0.670367i
$424$	−7.47704	−	4.69755i	−0.363117	−	0.228133i
$425$	−2.26270	+	2.44525i	−0.109757	+	0.118612i
$426$	−8.28766	−	20.2207i	−0.401538	−	0.979694i
$427$	0.462008	+	0.635899i	0.0223581	+	0.0307733i
$428$	−23.3442	+	16.6966i	−1.12839	+	0.807059i
$429$	10.9590	−	21.5082i	0.529103	−	1.03842i
$430$	−1.27951	+	2.61147i	−0.0617036	+	0.125936i
$431$	−9.02667	−	27.7812i	−0.434799	−	1.33817i	−0.893292	−	0.449477i	$-0.851610\pi$
$431$	−9.02667	−	27.7812i	−0.434799	−	1.33817i	0.458493	−	0.888698i	$-0.348390\pi$
$432$	−51.8567	+	36.5093i	−2.49496	+	1.75656i
$433$	−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	$-0.494993\pi$
$434$	5.25385	+	0.433164i	0.252193	+	0.0207926i
$435$	−19.0031	−	72.9003i	−0.911127	−	3.49530i
$436$	3.52268	−	1.11567i	0.168706	−	0.0534311i
$437$	12.5225			0.599031
$438$	−13.0918	−	3.19462i	−0.625548	−	0.152645i
$439$	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	$0.888872\pi$
$440$	0.170342	+	20.7367i	0.00812073	+	0.988583i
$441$	−35.1170	+	25.5140i	−1.67224	+	1.21495i
$442$	−1.37563	+	1.59857i	−0.0654322	+	0.0760364i
$443$	1.92806	−	12.1733i	0.0916051	−	0.578372i	−0.898602	−	0.438765i	$-0.855416\pi$
$443$	1.92806	−	12.1733i	0.0916051	−	0.578372i	0.990207	−	0.139607i	$-0.0445839\pi$
$444$	−11.2777	+	33.8498i	−0.535215	+	1.60644i
$445$	−0.0280188	−	0.0109747i	−0.00132822	−	0.000520249i
$446$	21.7082	+	13.4141i	1.02791	+	0.635178i
$447$	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	$0.154062\pi$
$450$	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
$453$	−49.4717	+	25.2071i	−2.32438	+	1.18433i
$454$	16.6318	+	14.3123i	0.780571	+	0.671710i
$455$	−5.99592	+	0.588990i	−0.281093	+	0.0276123i
$456$	−13.0553	+	30.5492i	−0.611370	+	1.43060i
$457$	−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	$0.183115\pi$
$458$	−7.07881	−	17.2713i	−0.330771	−	0.807033i
$459$	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	$0.160734\pi$
$462$	−14.0070	+	11.8733i	−0.651666	+	0.552395i
$463$	0.665945	−	0.916595i	0.0309491	−	0.0425978i	−0.793262	−	0.608880i	$-0.791619\pi$
$463$	0.665945	−	0.916595i	0.0309491	−	0.0425978i	0.824211	+	0.566283i	$0.191619\pi$
$464$	28.5358	+	29.3981i	1.32474	+	1.36477i
$465$	−17.0285	+	15.1240i	−0.789677	+	0.701361i
$466$	−19.1370	+	4.51914i	−0.886504	+	0.209345i
$467$	−3.66848	−	1.86918i	−0.169757	−	0.0864955i	0.367047	−	0.930202i	$-0.380369\pi$
$467$	−3.66848	−	1.86918i	−0.169757	−	0.0864955i	−0.536804	+	0.843707i	$0.680369\pi$
$468$	24.5669	+	24.9353i	1.13561	+	1.15264i
$469$	−12.8009	−	4.15926i	−0.591090	−	0.192057i
$470$	5.84335	+	17.0699i	0.269534	+	0.787375i
$471$	−18.1701	−	55.9218i	−0.837234	−	2.57674i
$472$	−8.82268	+	35.0221i	−0.406097	+	1.61202i
$473$	2.86772	−	0.931780i	0.131858	−	0.0428433i
$474$	21.0697	+	5.14137i	0.967762	+	0.236151i
$475$	17.1812	+	4.85513i	0.788325	+	0.222769i
$476$	1.43479	−	0.717663i	0.0657636	−	0.0328940i
$477$	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	−0.640732	−	0.767765i	$-0.721369\pi$
$479$	−8.67147	+	4.41833i	−0.396209	+	0.201879i	0.244522	+	0.969644i	$0.421369\pi$
$480$	−39.5812	−	12.8269i	−1.80663	−	0.585467i
$481$	11.9887	+	1.89883i	0.546639	+	0.0865792i
$482$	−28.6020	−	2.35815i	−1.30279	−	0.107411i
$483$	−9.81967	+	9.81967i	−0.446810	+	0.446810i
$484$	−0.354763	+	0.349521i	−0.0161256	+	0.0158873i
$485$	31.3503	+	18.3856i	1.42354	+	0.834846i
$486$	56.5805	−	34.3836i	2.56654	−	1.55967i
$487$	−3.09150	−	19.5190i	−0.140089	−	0.884490i	−0.953191	−	0.302368i	$-0.902223\pi$
$487$	−3.09150	−	19.5190i	−0.140089	−	0.884490i	0.813102	−	0.582122i	$-0.197777\pi$
$488$	1.71394	−	0.687623i	0.0775864	−	0.0311272i
$489$	27.0703	−	27.0703i	1.22416	−	1.22416i
$490$	−16.7768	−	5.16215i	−0.757897	−	0.233202i
$491$			15.8487i			0.715240i	0.933867	+	0.357620i	$0.116412\pi$
$491$			15.8487i			0.715240i	−0.933867	+	0.357620i	$0.883588\pi$
$492$	−34.2532	−	24.5194i	−1.54425	−	1.10542i
$493$	4.82575	−	4.82575i	0.217341	−	0.217341i
$494$	10.9800	+	2.67933i	0.494016	+	0.120549i
$495$	3.39006	−	57.2344i	0.152372	−	2.57249i
$496$	4.00230	−	11.7213i	0.179709	−	0.526300i
$497$	5.58570	−	0.884687i	0.250553	−	0.0396837i
$498$	−47.9477	−	11.7001i	−2.14859	−	0.524294i
$499$	−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	$0.195006\pi$
$500$	−4.11160	+	21.9794i	−0.183876	+	0.982949i
$501$			37.3480i			1.66859i
$502$	3.32435	−	40.3210i	0.148373	−	1.79962i
$503$	8.31900	+	11.4501i	0.370926	+	0.510535i	0.953152	−	0.302491i	$-0.0978183\pi$
$503$	8.31900	+	11.4501i	0.370926	+	0.510535i	−0.582226	+	0.813027i	$0.697818\pi$
$504$	−9.91454	−	24.7125i	−0.441629	−	1.10078i
$505$	−7.01076	−	2.74604i	−0.311975	−	0.122197i
$506$	10.6070	−	12.3261i	0.471540	−	0.547961i
$507$	−15.4498	+	21.2649i	−0.686151	+	0.944405i
$508$	−11.8775	+	35.6504i	−0.526981	+	1.58173i
$509$	−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	$0.822501\pi$
$510$	−2.03830	+	6.62438i	−0.0902573	+	0.293332i
$511$	1.58324	−	3.10729i	0.0700385	−	0.137458i
$512$	22.1668	−	4.54258i	0.979641	−	0.200756i
$513$	25.7025	−	50.4440i	1.13479	−	2.22716i
$514$	6.90999	−	16.5082i	0.304787	−	0.728145i
$515$	−36.2660	−	14.2050i	−1.59807	−	0.625947i
$516$	−0.0450248	+	6.04977i	−0.00198211	+	0.266326i
$517$	8.49305	−	16.6685i	0.373524	−	0.733082i
$518$	−7.85467	−	4.85365i	−0.345115	−	0.213257i
$519$	3.39055	−	3.39055i	0.148829	−	0.148829i
$520$	−2.09943	+	13.9986i	−0.0920663	+	0.613878i
$521$	−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	$0.977242\pi$
$522$	−73.2443	−	86.4071i	−3.20582	−	3.78194i
$523$	19.6302	+	3.10912i	0.858368	+	0.135952i	0.570078	−	0.821591i	$-0.306913\pi$
$523$	19.6302	+	3.10912i	0.858368	+	0.135952i	0.288291	+	0.957543i	$0.406913\pi$
$524$	−4.47861	−	29.7060i	−0.195649	−	1.29771i
$525$	−17.2800	+	9.66562i	−0.754163	+	0.421842i
$526$	−31.6584	−	13.2516i	−1.38037	−	0.577796i
$527$	−1.96219	−	0.637555i	−0.0854745	−	0.0277723i
$528$	19.0117	+	38.7269i	0.827377	+	1.68537i
$529$	−6.29021	+	8.65773i	−0.273487	+	0.376423i
$530$	0.154563	+	9.87130i	0.00671381	+	0.428782i
$531$	30.8566	−	94.9669i	1.33906	−	4.12121i
$532$	−6.91764	−	5.10505i	−0.299918	−	0.221332i
$533$	−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
$536$	−16.8231	+	26.7771i	−0.726646	+	1.15660i
$537$	11.3515	+	71.6706i	0.489854	+	3.09282i
$538$	−0.227727	−	0.964345i	−0.00981800	−	0.0415759i
$539$	8.26271	+	16.2165i	0.355900	+	0.698493i
$540$	65.8271	+	26.3505i	2.83275	+	1.13394i
$541$	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
$543$	−48.5147	−	7.68398i	−2.08197	−	0.329751i
$544$	−0.811563	−	3.68079i	−0.0347955	−	0.157813i
$545$	−3.19285	−	2.62168i	−0.136767	−	0.112300i
$546$	−10.7112	+	6.50912i	−0.458396	+	0.278565i
$547$		−	2.23544i		−	0.0955807i	−0.998857	−	0.0477903i	$-0.984782\pi$
$547$		−	2.23544i		−	0.0955807i	0.998857	−	0.0477903i	$-0.0152179\pi$
$548$	−5.31374	+	10.2397i	−0.226992	+	0.437418i
$549$	−4.85594	+	1.57779i	−0.207246	+	0.0673384i
$550$	19.3321	−	12.7992i	0.824324	−	0.545759i
$551$	−34.7838	−	11.3019i	−1.48184	−	0.481479i
$552$	16.7362	+	28.0081i	0.712341	+	1.19211i
$553$	−2.54805	+	5.00082i	−0.108354	+	0.212657i
$554$	−9.03010	−	22.0321i	−0.383652	−	0.936055i
$555$	38.6005	−	10.0621i	1.63850	−	0.427111i
$556$	−30.5763	−	5.07636i	−1.29672	−	0.215286i
$557$	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	$0.143762\pi$
$558$	−13.2223	+	31.5884i	−0.559743	+	1.33724i
$559$	2.03287	−	0.321976i	0.0859814	−	0.0136181i
$560$	5.58473	−	9.20604i	0.235998	−	0.389026i
$561$	6.40314	−	3.26256i	0.270341	−	0.137746i
$562$	−10.7732	+	17.4344i	−0.454441	+	0.735424i
$563$	−6.32328	−	8.70325i	−0.266495	−	0.366798i	0.654708	−	0.755882i	$-0.272792\pi$
$563$	−6.32328	−	8.70325i	−0.266495	−	0.366798i	−0.921202	+	0.389084i	$0.872792\pi$
$564$	26.3430	+	26.7381i	1.10924	+	1.12588i
$565$	1.76022	−	29.7178i	0.0740532	−	1.25024i
$566$	−13.0598	+	11.0703i	−0.548944	+	0.465321i
$567$	10.6740	+	32.8511i	0.448265	+	1.37962i
$568$	1.19030	−	13.2337i	0.0499438	−	0.555273i
$569$	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	$0.634703\pi$
$570$	36.5904	−	6.38411i	1.53260	−	0.267401i
$571$	−0.904667	+	0.904667i	−0.0378591	+	0.0378591i	−0.725783	−	0.687924i	$-0.758522\pi$
$571$	−0.904667	+	0.904667i	−0.0378591	+	0.0378591i	0.687924	+	0.725783i	$0.258522\pi$
$572$	11.9378	−	8.53834i	0.499146	−	0.357006i
$573$	−28.0076	+	28.0076i	−1.17004	+	1.17004i
$574$	8.21270	−	7.16871i	0.342792	−	0.299216i
$575$	13.7758	−	10.8485i	0.574490	−	0.452412i
$576$	−61.9931	+	8.40468i	−2.58304	+	0.350195i
$577$		−	29.2521i		−	1.21778i	−0.793254	−	0.608890i	$-0.791615\pi$
$577$		−	29.2521i		−	1.21778i	0.793254	−	0.608890i	$-0.208385\pi$
$578$	22.7870	−	5.38108i	0.947815	−	0.223823i
$579$	−44.5461	+	61.3124i	−1.85127	+	2.54806i
$580$	10.1608	−	44.6647i	0.421904	−	1.85460i
$581$	5.79853	−	11.3803i	0.240563	−	0.472132i
$582$	75.3535	+	6.21267i	3.12350	+	0.257523i
$583$	7.23830	−	7.23830i	0.299780	−	0.299780i
$584$	−6.17065	−	5.39052i	−0.255343	−	0.223061i
$585$	8.39705	−	38.2246i	0.347175	−	1.58039i
$586$	0.0367096	+	0.155453i	0.00151646	+	0.00642169i
$587$	−9.47864	+	29.1723i	−0.391225	+	1.20407i	0.540637	+	0.841256i	$0.318183\pi$
$587$	−9.47864	+	29.1723i	−0.391225	+	1.20407i	−0.931862	+	0.362812i	$0.881817\pi$
$588$	−36.1090	+	5.44394i	−1.48911	+	0.224504i
$589$	1.72965	+	10.9206i	0.0712691	+	0.449975i
$590$	38.2028	−	13.0776i	1.57279	−	0.538395i
$591$	36.1303	+	5.72248i	1.48620	+	0.235391i
$592$	−15.5662	+	15.1096i	−0.639768	+	0.621001i
$593$	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	$0.309593\pi$
$594$	−27.8818	−	68.0274i	−1.14400	−	2.79120i
$595$	−1.54719	−	0.907357i	−0.0634285	−	0.0371980i
$596$	20.8165	+	6.93539i	0.852677	+	0.284085i
$597$	−5.62751	+	2.86736i	−0.230319	+	0.117353i
$598$	8.46730	−	7.17744i	0.346254	−	0.293507i
$599$	−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	$-0.457138\pi$
$600$	12.1034	+	44.9167i	0.494120	+	1.83372i
$601$	−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	$0.461809\pi$
$602$	−1.52102	−	0.371156i	−0.0619921	−	0.0151272i
$603$	51.3912	−	70.7339i	2.09281	−	2.88051i
$604$	−33.7582	−	0.251242i	−1.37360	−	0.0102229i
$605$	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	0.0415077	−	0.999138i	$-0.486784\pi$
$607$	−5.61158	−	0.888786i	−0.227767	−	0.0360747i	−0.269275	+	0.963063i	$0.586784\pi$
$608$	−15.6012	+	12.8305i	−0.632712	+	0.520344i
$609$	36.1388	−	18.4136i	1.46442	−	0.746157i
$610$	−1.68918	−	1.18730i	−0.0683928	−	0.0480725i
$611$	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	0.299417	−	0.954122i	$-0.403208\pi$
$619$	−12.8250	−	9.31793i	−0.515482	−	0.374519i	−0.814899	+	0.579603i	$0.803208\pi$
$620$	−13.4255	+	3.39315i	−0.539182	+	0.136272i
$621$	−25.2427	−	49.5416i	−1.01295	−	1.98803i
$622$	10.3249	+	25.1911i	0.413989	+	1.01007i
$623$	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
$626$	9.34494	+	0.770463i	0.373499	+	0.0307939i
$627$	−31.1574	−	22.6372i	−1.24431	−	0.904041i
$628$	5.85536	−	35.2684i	0.233654	−	1.40736i
$629$	2.55522	+	2.55522i	0.101883	+	0.101883i
$630$	−17.1192	+	24.3555i	−0.682046	+	0.970348i
$631$	−31.1163	+	10.1103i	−1.23872	+	0.402484i	−0.853866	−	0.520493i	$-0.825748\pi$
$631$	−31.1163	+	10.1103i	−1.23872	+	0.402484i	−0.384854	+	0.922978i	$0.625748\pi$
$632$	9.93095	+	8.67542i	0.395032	+	0.345090i
$633$	21.0653	+	41.3429i	0.837270	+	1.64323i
$634$	2.58011	−	6.16396i	0.102469	−	0.244802i
$635$	40.6537	−	10.5973i	1.61329	−	0.420540i
$636$	9.18789	+	18.3689i	0.364324	+	0.728376i
$637$	3.83900	+	11.8152i	0.152107	+	0.468136i
$638$	−40.5879	+	24.6650i	−1.60689	+	0.976499i
$639$	−5.74679	+	36.2838i	−0.227340	+	1.43537i
$640$	−17.7688	−	18.0075i	−0.702375	−	0.711808i
$641$	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	0.324463	−	0.945898i	$-0.394816\pi$
$643$	0.785422	+	0.255199i	0.0309740	+	0.0100641i	−0.293489	+	0.955962i	$0.594816\pi$
$644$	−8.04954	+	2.54938i	−0.317196	+	0.100460i
$645$	5.69772	−	3.64528i	0.224348	−	0.143533i
$646$	2.17570	+	2.56670i	0.0856017	+	0.100985i
$647$	−22.9749	−	22.9749i	−0.903236	−	0.903236i	0.0924785	−	0.995715i	$-0.470521\pi$
$647$	−22.9749	−	22.9749i	−0.903236	−	0.903236i	−0.995715	+	0.0924785i	$0.970521\pi$
$648$	80.9711	−	5.46382i	3.18085	−	0.214639i
$649$	−37.3046	−	19.0077i	−1.46434	−	0.746116i
$650$	14.4001	−	6.56474i	0.564820	−	0.257490i
$651$	−9.91986	−	7.20720i	−0.388790	−	0.282473i
$652$	22.1905	−	7.02798i	0.869046	−	0.275237i
$653$	−31.9818			−1.25155			−0.625773	−	0.780006i	$-0.715216\pi$
$653$	−31.9818			−1.25155			−0.625773	+	0.780006i	$0.715216\pi$
$654$	−8.34968	−	2.03747i	−0.326498	−	0.0796714i
$655$	−25.1128	+	22.3042i	−0.981239	+	0.871499i
$656$	−11.6189	−	22.8255i	−0.453640	−	0.891185i
$657$	16.0185	+	16.0185i	0.624941	+	0.624941i
$658$	−8.30103	+	5.04448i	−0.323608	+	0.196654i
$659$	−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	$0.911225\pi$
$660$	24.7096	−	41.4241i	0.961818	−	1.61243i
$661$	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	$-0.0720966\pi$
$662$	−4.75743	−	1.16090i	−0.184903	−	0.0451195i
$663$	4.66529	−	1.51584i	0.181185	−	0.0588705i
$664$	−22.5996	−	19.7424i	−0.877036	−	0.766156i
$665$	−0.568345	+	9.59537i	−0.0220395	+	0.372092i
$666$	45.7523	−	38.7827i	1.77287	−	1.50280i
$667$	−29.0596	+	21.1130i	−1.12519	+	0.817499i
$668$	−10.4596	+	20.1559i	−0.404695	+	0.779856i
$669$	−26.9462	−	52.8849i	−1.04180	−	2.04465i
$670$	35.3515	−	0.553530i	1.36575	−	0.0213847i
$671$	0.334900	+	2.11448i	0.0129287	+	0.0816284i
$672$	2.17270	−	22.2951i	0.0838139	−	0.860051i
$673$	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	$0.674945\pi$
$674$	0.115009	+	0.0280642i	0.00442998	+	0.00108099i
$675$	−15.4257	−	77.7592i	−0.593735	−	2.99295i
$676$	−14.2933	+	7.14932i	−0.549743	+	0.274974i
$677$	−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	$0.798485\pi$
$678$	−23.4876	−	57.3064i	−0.902038	−	2.20084i
$679$	−6.04644	+	18.6090i	−0.232041	+	0.714149i
$680$	−2.95524	+	3.00419i	−0.113328	+	0.115205i
$681$	−15.7711	−	48.5384i	−0.604349	−	1.86000i
$682$	12.2144	+	7.54766i	0.467714	+	0.289015i
$683$	−25.3108			−0.968489			−0.484245	−	0.874933i	$-0.660905\pi$
$683$	−25.3108			−0.968489			−0.484245	+	0.874933i	$0.660905\pi$
$684$	45.4245	−	32.4891i	1.73685	−	1.24225i
$685$	12.8362	−	1.26092i	0.490447	−	0.0481774i
$686$	1.75574	−	21.2954i	0.0670345	−	0.813062i
$687$	−6.79163	+	42.8807i	−0.259117	+	1.63600i
$688$	−1.71859	+	3.25232i	−0.0655205	+	0.123993i
$689$	5.65287	−	4.10705i	0.215357	−	0.156466i
$690$	16.0501	−	32.7581i	0.611017	−	1.24708i
$691$	−28.6000	+	14.5724i	−1.08800	+	0.554361i	−0.903551	−	0.428481i	$-0.859049\pi$
$691$	−28.6000	+	14.5724i	−1.08800	+	0.554361i	−0.184445	+	0.982843i	$0.559049\pi$
$692$	2.77936	−	0.880255i	0.105655	−	0.0334623i
$693$	30.4877	−	4.82878i	1.15813	−	0.183430i
$694$	3.79765	+	3.26802i	0.144157	+	0.124052i
$695$	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
$698$	17.7661	−	20.6453i	0.672455	−	0.781437i
$699$	43.4973	+	14.1331i	1.64522	+	0.534565i
$700$	−12.0326	+	0.376902i	−0.454789	+	0.0142456i
$701$	−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	$0.922763\pi$
$702$	−11.5335	−	48.8403i	−0.435303	−	1.84336i
$703$	5.98435	−	18.4179i	0.225704	−	0.694645i
$704$	−0.585604	+	26.2244i	−0.0220708	+	0.988370i
$705$	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
$708$	59.8405	−	58.9563i	2.24894	−	2.21572i
$709$	−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	$0.472114\pi$
$710$	−13.1291	+	6.95062i	−0.492725	+	0.260852i
$711$	−25.7799	−	25.7799i	−0.966822	−	0.966822i
$712$	−0.0350009	−	0.0149578i	−0.00131171	−	0.000560566i
$713$	9.67538	+	4.92985i	0.362346	+	0.184624i
$714$	−3.71881	−	0.306605i	−0.139173	−	0.0114744i
$715$	−15.2792	−	5.98468i	−0.571408	−	0.223814i
$716$	−13.9458	+	41.8582i	−0.521179	+	1.56431i
$717$	−3.04955	−	1.55382i	−0.113888	−	0.0580286i
$718$	43.1718	+	18.0709i	1.61116	+	0.674398i
$719$	−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	$0.753431\pi$
$720$	45.6638	+	52.9815i	1.70179	+	1.97450i
$721$	3.28030	−	20.7110i	0.122165	−	0.771318i
$722$	−3.41253	+	8.15263i	−0.127001	+	0.303409i
$723$	54.0039	+	39.2361i	2.00843	+	1.45921i
$724$	−24.0304	−	17.7338i	−0.893082	−	0.659072i
$725$	−48.0562	+	17.7008i	−1.78476	+	0.657391i
$726$	1.12735	−	0.266221i	0.0418400	−	0.00988038i
$727$	34.6467	−	25.1723i	1.28497	−	0.933588i	0.285282	−	0.958444i	$-0.407913\pi$
$727$	34.6467	−	25.1723i	1.28497	−	0.933588i	0.999691	+	0.0248559i	$0.00791268\pi$
$728$	−7.60352	+	0.513075i	−0.281805	+	0.0190158i
$729$	−67.9194			−2.51553
$730$	−1.29122	+	9.06923i	−0.0477901	+	0.335667i
$731$	0.545961	+	0.278181i	0.0201931	+	0.0102889i
$732$	−4.23739	−	0.703502i	−0.156618	−	0.0260022i
$733$	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	$0.756457\pi$
$734$	22.3835	+	13.8314i	0.826189	+	0.510528i
$735$	27.1118	+	30.5257i	1.00003	+	1.12596i
$736$	1.18827	+	19.8025i	0.0438002	+	0.729930i
$737$	−25.9221	−	25.9221i	−0.954854	−	0.954854i
$738$	27.8021	+	65.1273i	1.02341	+	2.39737i
$739$	40.5634			1.49215			0.746074	−	0.665864i	$-0.231937\pi$
$739$	40.5634			1.49215			0.746074	+	0.665864i	$0.231937\pi$
$740$	23.6498	+	5.38012i	0.869385	+	0.197777i
$741$	−18.5887	−	18.5887i	−0.682871	−	0.682871i
$742$	−5.17286	+	1.22155i	−0.189902	+	0.0448447i
$743$	−4.03152	+	0.638530i	−0.147902	+	0.0234254i	−0.229946	−	0.973203i	$-0.573855\pi$
$743$	−4.03152	+	0.638530i	−0.147902	+	0.0234254i	0.0820443	+	0.996629i	$0.473855\pi$
$744$	−22.1137	+	18.4639i	−0.810726	+	0.676920i
$745$	−6.18783	−	23.7380i	−0.226705	−	0.869694i
$746$	−31.1754	−	36.7780i	−1.14141	−	1.34654i
$747$	58.6667	+	58.6667i	2.14650	+	2.14650i
$748$	4.36934	+	0.0325184i	0.159759	+	0.00118899i
$749$	−2.70251	+	17.0630i	−0.0987474	+	0.623467i
$750$	34.7219	−	38.7221i	1.26786	−	1.41393i
$751$	1.50677	+	2.95720i	0.0549828	+	0.107910i	0.916863	−	0.399202i	$-0.130713\pi$
$751$	1.50677	+	2.95720i	0.0549828	+	0.107910i	−0.861880	+	0.507112i	$0.830713\pi$
$752$	6.72853	+	21.8075i	0.245364	+	0.795238i
$753$	−55.3122	+	76.1306i	−2.01569	+	2.77436i
$754$	−29.9976	+	12.2948i	−1.09245	+	0.447751i
$755$	20.3410	+	31.7938i	0.740285	+	1.15709i
$756$	−6.25214	+	37.6584i	−0.227388	+	1.36962i
$757$	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	$0.663730\pi$
$758$	48.1006	+	20.1339i	1.74709	+	0.731298i
$759$	−35.9725	+	11.6882i	−1.30572	+	0.424253i
$760$	21.5350	+	6.80208i	0.781155	+	0.246737i
$761$	−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	$0.977629\pi$
$762$	66.6716	−	56.5152i	2.41526	−	2.04733i
$763$	1.00976	−	1.98177i	0.0365559	−	0.0717449i
$764$	−22.9589	+	7.27134i	−0.830623	+	0.263068i
$765$	8.71129	−	7.73703i	0.314957	−	0.279733i
$766$	−15.5282	−	25.5526i	−0.561056	−	0.923254i
$767$	−23.1206	−	16.7981i	−0.834837	−	0.606545i
$768$	−49.5479	−	17.7462i	−1.78791	−	0.640362i
$769$	−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	$0.944041\pi$
$770$	8.96346	+	8.68709i	0.323021	+	0.313061i
$771$	−33.6755	+	24.4667i	−1.21279	+	0.881145i
$772$	−41.2116	+	20.6135i	−1.48324	+	0.741895i
$773$	−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	$0.694904\pi$
$774$	5.34615	−	8.65169i	0.192163	−	0.310979i
$775$	11.3635	+	10.5151i	0.408189	+	0.377715i
$776$	38.9267	+	24.4562i	1.39739	+	0.877927i
$777$	9.74996	+	19.1354i	0.349778	+	0.686478i
$778$	−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
$782$	3.29532	−	0.247013i	0.117840	−	0.00883315i
$783$	25.4040	+	160.394i	0.907864	+	5.73203i
$784$	−21.0118	−	7.17463i	−0.750423	−	0.256237i
$785$	−36.6251	+	16.0089i	−1.30721	+	0.571383i
$786$	−26.9802	+	64.4565i	−0.962351	+	2.29909i
$787$	−25.0529	−	3.96799i	−0.893040	−	0.141444i	−0.306985	−	0.951714i	$-0.599320\pi$
$787$	−25.0529	−	3.96799i	−0.893040	−	0.141444i	−0.586056	+	0.810271i	$0.699320\pi$
$788$	17.8961	+	13.2069i	0.637522	+	0.470476i
$789$	46.9207	+	64.5808i	1.67042	+	2.29914i
$790$	2.07807	−	14.5959i	0.0739343	−	0.519298i
$791$	15.8302	−	2.50725i	0.562855	−	0.0891475i
$792$	6.49685	−	72.2317i	0.230855	−	2.56664i
$793$			1.46131i			0.0518926i
$794$	−3.00529	−	12.7264i	−0.106654	−	0.451642i
$795$	11.6165	−	19.8079i	0.411993	−	0.702513i
$796$	−3.84007	−	0.0285793i	−0.136108	−	0.00101297i
$797$	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	$0.338762\pi$
$798$	7.58375	+	18.5032i	0.268462	+	0.655007i
$799$	3.61554	−	1.17476i	0.127909	−	0.0415600i
$800$	−6.04735	+	27.6302i	−0.213806	+	0.976876i
$801$	0.0937665	+	0.0477764i	0.00331308	+	0.00168810i
$802$	35.5101	−	21.5793i	1.25390	−	0.761990i
$803$	7.68440	−	5.58305i	0.271177	−	0.197021i
$804$	65.7837	−	32.9041i	2.32001	−	1.16044i
$805$	7.29586	+	5.99070i	0.257145	+	0.211144i
$806$	7.42883	+	6.39278i	0.261669	+	0.225176i
$807$	−0.712193	+	2.19190i	−0.0250704	+	0.0771587i
$808$	−8.75779	−	3.74267i	−0.308098	−	0.131667i
$809$	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	$-0.110137\pi$
$810$	−54.4750	−	72.5617i	−1.91406	−	2.54956i
$811$	26.0890			0.916109			0.458055	−	0.888924i	$-0.348546\pi$
$811$	26.0890			0.916109			0.458055	+	0.888924i	$0.348546\pi$
$812$	24.6602	+	0.183531i	0.865403	+	0.00644067i
$813$	13.0219	+	40.0773i	0.456698	+	1.40557i
$814$	−13.0601	−	21.4912i	−0.457755	−	0.753266i
$815$	−20.1128	−	16.5148i	−0.704520	−	0.578488i
$816$	−2.83293	+	8.29661i	−0.0991725	+	0.290439i
$817$		−	3.28376i		−	0.114884i
$818$	3.09162	−	1.87876i	0.108096	−	0.0656892i
$819$	21.0700			0.736245
$820$	−14.3117	+	24.8027i	−0.499786	+	0.866149i
$821$	−4.63363			−0.161715			−0.0808573	−	0.996726i	$-0.525766\pi$
$821$	−4.63363			−0.161715			−0.0808573	+	0.996726i	$0.525766\pi$
$822$	22.9308	−	13.9349i	0.799803	−	0.486035i
$823$			0.172990i			0.00603003i	0.999995	+	0.00301502i	$0.000959711\pi$
$823$			0.172990i			0.00603003i	−0.999995	+	0.00301502i	$0.999040\pi$
$824$	−45.3032	−	19.3605i	−1.57821	−	0.674455i
$825$	−53.8868	+	2.08945i	−1.87610	+	0.0727454i
$826$	11.2897	+	18.5779i	0.392818	+	0.646408i
$827$	−13.1823	−	40.5710i	−0.458394	−	1.41079i	−0.867103	−	0.498128i	$-0.834021\pi$
$827$	−13.1823	−	40.5710i	−0.458394	−	1.41079i	0.408709	−	0.912665i	$-0.365979\pi$
$828$	0.408192	−	54.8468i	0.0141856	−	1.90606i
$829$	44.4426			1.54356			0.771778	−	0.635892i	$-0.219368\pi$
$829$	44.4426			1.54356			0.771778	+	0.635892i	$0.219368\pi$
$830$	−4.72901	+	33.2155i	−0.164146	+	1.15293i
$831$	−8.66376	+	54.7009i	−0.300543	+	1.89755i
$832$	−3.19506	+	17.6176i	−0.110769	+	0.610781i
$833$	−1.14290	+	3.51748i	−0.0395991	+	0.121873i
$834$	54.6448	+	47.0239i	1.89219	+	1.62830i
$835$	25.2670	−	2.48202i	0.874400	−	0.0858938i
$836$	−10.4752	−	20.9427i	−0.362293	−	0.724317i
$837$	39.7176	−	28.8565i	1.37284	−	0.997427i
$838$	−26.5744	+	16.1491i	−0.917999	+	0.557862i
$839$	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	$0.523129\pi$
$840$	−22.2209	+	11.5530i	−0.766693	+	0.398616i
$841$	72.1935	−	23.4571i	2.48943	−	0.808865i
$842$	−6.11675	−	14.9240i	−0.210797	−	0.514314i
$843$	42.4732	−	21.6412i	1.46285	−	0.745361i
$844$	−0.209960	+	28.2114i	−0.00722713	+	0.971076i
$845$	15.4130	+	9.03904i	0.530223	+	0.310953i
$846$	−14.5015	−	61.4090i	−0.498573	−	2.11129i
$847$			0.299769i			0.0103002i
$848$	−0.185869	+	12.4865i	−0.00638276	+	0.428787i
$849$	39.3310	−	6.22942i	1.34984	−	0.213793i
$850$	4.61703	+	0.938732i	0.158363	+	0.0321982i
$851$	−11.1793	−	15.3870i	−0.383221	−	0.527458i
$852$	−18.3511	+	24.8668i	−0.628698	+	0.851923i
$853$	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	$0.431893\pi$
$854$	0.429207	−	1.02539i	0.0146872	−	0.0350881i
$855$	−58.1385	−	22.7722i	−1.98830	−	0.778794i
$856$	37.3235	+	15.9503i	1.27569	+	0.545171i
$857$	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	0.0173809	−	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
$863$	7.72527	+	15.1617i	0.262971	+	0.516110i	0.984305	−	0.176478i	$-0.0564704\pi$
$863$	7.72527	+	15.1617i	0.262971	+	0.516110i	−0.721333	+	0.692588i	$0.756470\pi$
$864$	82.2088	+	35.8581i	2.79680	+	1.21992i
$865$	−2.51913	−	2.06848i	−0.0856529	−	0.0703304i
$866$	−27.3421	+	44.2479i	−0.929124	+	1.50360i
$867$	−51.7937	−	16.8288i	−1.75901	−	0.571536i
$868$	−3.33510	−	6.66771i	−0.113201	−	0.226317i
$869$	−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
$872$	−3.93553	−	3.43797i	−0.133274	−	0.116424i
$873$	−102.828	−	74.7089i	−3.48020	−	2.52851i
$874$	−9.19691	−	15.1341i	−0.311090	−	0.511919i
$875$	7.68743	+	11.0481i	0.259883	+	0.373494i
$876$	5.75413	+	18.1684i	0.194414	+	0.613852i
$877$	−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	$0.196197\pi$
$878$	8.62808	−	7.31372i	0.291184	−	0.246826i
$879$	0.114806	−	0.353335i	0.00387230	−	0.0119177i
$880$	24.9364	−	15.4356i	0.840605	−	0.520333i
$881$	−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	$0.522334\pi$
$882$	56.6261	+	23.7026i	1.90670	+	0.798107i
$883$	−9.98317	−	30.7250i	−0.335960	−	1.03398i	−0.966247	−	0.257617i	$-0.917063\pi$
$883$	−9.98317	−	30.7250i	−0.335960	−	1.03398i	0.630287	−	0.776363i	$-0.282937\pi$
$884$	2.94228	+	0.488484i	0.0989595	+	0.0164295i
$885$	−91.7324	−	20.1515i	−3.08355	−	0.677384i
$886$	−16.1282	+	6.61030i	−0.541837	+	0.222078i
$887$	18.3388	−	25.2413i	0.615758	−	0.847518i	−0.381277	−	0.924461i	$-0.624516\pi$
$887$	18.3388	−	25.2413i	0.615758	−	0.847518i	0.997036	+	0.0769423i	$0.0245157\pi$
$888$	49.1921	−	11.2307i	1.65078	−	0.376878i
$889$	10.2686	+	20.1532i	0.344397	+	0.675917i
$890$	0.00731443	+	0.0419225i	0.000245180	+	0.00140524i
$891$	−14.7173	+	92.9214i	−0.493048	+	3.11299i
$892$	0.268576	−	36.0873i	0.00899259	−	1.20829i
$893$	−14.4060	−	14.4060i	−0.482077	−	0.482077i
$894$	−32.9996	−	38.9300i	−1.10367	−	1.30201i
$895$	47.7328	−	12.4426i	1.59553	−	0.415910i
$896$	7.41648	−	11.4237i	0.247767	−	0.381638i
$897$	−25.5002	+	4.03883i	−0.851427	+	0.134853i
$898$	9.85910	−	2.32819i	0.329003	−	0.0776928i
$899$	−22.4260	−	22.4260i	−0.747950	−	0.747950i
$900$	21.8249	−	75.0930i	0.727496	−	2.50310i
$901$	2.08018			0.0693009
$902$	28.7947	−	7.24186i	0.958760	−	0.241128i
$903$	2.57501	+	2.57501i	0.0856908	+	0.0856908i
$904$	3.37336	−	37.5049i	0.112196	−	1.24739i
$905$	−1.97431	+	33.3322i	−0.0656282	+	1.10800i
$906$	66.7978	+	41.2764i	2.21921	+	1.37132i
$907$	−2.15954	−	13.6348i	−0.0717064	−	0.452737i	−0.997251	−	0.0740978i	$-0.976392\pi$
$907$	−2.15954	−	13.6348i	−0.0717064	−	0.452737i	0.925545	−	0.378639i	$-0.123608\pi$
$908$	5.08227	−	30.6119i	0.168661	−	1.01589i
$909$	23.4619	+	11.9544i	0.778182	+	0.396504i
$910$	5.11543	+	6.81384i	0.169575	+	0.225877i
$911$	19.6269			0.650267			0.325134	−	0.945668i	$-0.394591\pi$
$911$	19.6269			0.650267			0.325134	+	0.945668i	$0.394591\pi$
$912$	46.5086	−	6.65823i	1.54005	−	0.220476i
$913$	28.1437	−	20.4476i	0.931419	−	0.676716i
$914$	15.1915	−	3.58743i	0.502492	−	0.118662i
$915$	1.92342	+	4.40039i	0.0635863	+	0.145472i
$916$	−15.6744	+	21.2397i	−0.517896	+	0.701780i
$917$	−14.6294	−	10.6288i	−0.483104	−	0.350995i
$918$	5.76864	−	13.7814i	0.190393	−	0.454856i
$919$	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	$0.0420062\pi$
$920$	17.8361	−	13.1838i	0.588037	−	0.434659i
$921$	37.2147	+	18.9618i	1.22627	+	0.624814i
$922$	−23.7349	−	9.93495i	−0.781667	−	0.327190i
$923$	9.36807	+	4.77327i	0.308354	+	0.157114i
$924$	24.6368	+	8.20817i	0.810490	+	0.270029i
$925$	−9.37252	−	25.4456i	−0.308167	−	0.836647i
$926$	−1.59685	−	0.131655i	−0.0524757	−	0.00432647i
$927$	121.366	+	61.8392i	3.98619	+	2.03106i
$928$	14.5717	−	56.0780i	0.478340	−	1.84085i
$929$	−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	$0.756336\pi$
$930$	30.7845	+	9.47229i	1.00946	+	0.310609i
$931$	19.5765	−	3.10062i	0.641595	−	0.101619i
$932$	19.5165	+	19.8091i	0.639283	+	0.648870i
$933$	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
$936$	12.0930	−	48.0038i	0.395273	−	1.56905i
$937$	−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	$0.936709\pi$
$938$	4.37469	+	18.5253i	0.142839	+	0.604872i
$939$	−17.6443	−	12.8193i	−0.575800	−	0.418343i
$940$	16.3384	−	19.5987i	0.532899	−	0.639239i
$941$	−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
$943$	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
$946$	−3.23226	−	2.78148i	−0.105090	−	0.0904336i
$947$	−2.74007	+	0.433985i	−0.0890404	+	0.0141026i	−0.200796	−	0.979633i	$-0.564353\pi$
$947$	−2.74007	+	0.433985i	−0.0890404	+	0.0141026i	0.111755	+	0.993736i	$0.464353\pi$
$948$	−9.26060	−	29.2399i	−0.300770	−	0.949667i
$949$	5.77688	−	2.94347i	0.187525	−	0.0955489i
$950$	−6.75070	−	24.3302i	−0.219022	−	0.789375i
$951$	−12.5740	+	9.13556i	−0.407740	+	0.296241i
$952$	−1.92109	−	1.20695i	−0.0622630	−	0.0391175i
$953$	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	$0.0459052\pi$
$954$	2.83697	−	34.4096i	0.0918502	−	1.11405i
$955$	20.8092	+	17.0866i	0.673371	+	0.552911i
$956$	−1.21061	−	1.69262i	−0.0391541	−	0.0547431i
$957$	110.470			3.57099
$958$	11.7084	+	7.23499i	0.378282	+	0.233752i
$959$	2.14582	+	6.60414i	0.0692920	+	0.213259i
$960$	13.5677	+	57.2567i	0.437894	+	1.84795i
$961$	6.61671	−	20.3641i	0.213442	−	0.656907i
$962$	−6.51007	−	15.8836i	−0.209893	−	0.512109i
$963$	−99.9887	−	50.9468i	−3.22209	−	1.64174i
$964$	18.1563	+	36.2991i	0.584775	+	1.16911i
$965$	44.4399	+	26.0621i	1.43057	+	0.838967i
$966$	19.0795	+	4.65574i	0.613873	+	0.149796i
$967$	−25.7223	−	35.4037i	−0.827173	−	1.13851i	−0.988443	−	0.151596i	$-0.951559\pi$
$967$	−25.7223	−	35.4037i	−0.827173	−	1.13851i	0.161269	−	0.986910i	$-0.448441\pi$
$968$	0.682965	+	0.172051i	0.0219513	+	0.00552993i
$969$	−1.22429	−	7.72988i	−0.0393300	−	0.248320i
$970$	−0.804683	−	51.3916i	−0.0258368	−	1.65008i
$971$	1.62120	+	3.18179i	0.0520269	+	0.102109i	0.915556	−	0.402190i	$-0.131751\pi$
$971$	1.62120	+	3.18179i	0.0520269	+	0.102109i	−0.863529	+	0.504299i	$0.831751\pi$
$972$	−83.1091	−	43.1283i	−2.66573	−	1.38334i
$973$	−15.0935	+	10.9661i	−0.483875	+	0.351556i
$974$	−21.3193	+	18.0716i	−0.683115	+	0.579053i
$975$	−36.5528	−	4.34538i	−1.17063	−	0.139164i
$976$	−2.08980	−	1.56638i	−0.0668930	−	0.0501386i
$977$	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	$0.235480\pi$
$978$	−52.5972	−	12.8347i	−1.68187	−	0.410407i
$979$	0.0259359	−	0.0356977i	0.000828916	−	0.00114090i
$980$	6.08265	+	24.0669i	0.194303	+	0.768790i
$981$	10.2163	+	10.2163i	0.326181	+	0.326181i
$982$	19.1540	−	11.6398i	0.611229	−	0.371440i
$983$	12.7616	+	12.7616i	0.407032	+	0.407032i	0.880702	−	0.473670i	$-0.157071\pi$
$983$	12.7616	+	12.7616i	0.407032	+	0.407032i	−0.473670	+	0.880702i	$0.657071\pi$
$984$	−4.47640	+	59.4048i	−0.142702	+	1.89376i
$985$	1.47032	−	24.8234i	0.0468484	−	0.790940i
$986$	−9.37638	−	2.28800i	−0.298605	−	0.0728649i
$987$	22.5933			0.719152
$988$	−4.82598	−	15.2378i	−0.153535	−	0.484779i
$989$	−2.60909	−	1.89562i	−0.0829644	−	0.0602771i
$990$	−71.6607	+	37.9377i	−2.27753	+	1.20574i
$991$	−30.2050	−	15.3902i	−0.959493	−	0.488886i	−0.0971827	−	0.995267i	$-0.530983\pi$
$991$	−30.2050	−	15.3902i	−0.959493	−	0.488886i	−0.862310	+	0.506381i	$0.830983\pi$
$992$	−17.1052	+	3.77146i	−0.543091	+	0.119744i
$993$	8.05408	+	8.05408i	0.255588	+	0.255588i
$994$	−5.17151	−	6.10089i	−0.164030	−	0.193508i
$995$	2.31383	+	3.61661i	0.0733534	+	0.114654i
$996$	21.0741	+	66.5405i	0.667760	+	2.10842i
$997$	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.267.40	yes	960
4.3	odd	2	inner	820.2.bk.c.267.47	yes	960
5.3	odd	4		820.2.bv.c.103.21	yes	960
20.3	even	4		820.2.bv.c.103.16	yes	960
41.2	even	20		820.2.bv.c.207.16	yes	960
164.43	odd	20		820.2.bv.c.207.21	yes	960
205.43	odd	20	inner	820.2.bk.c.43.47	yes	960
820.43	even	20	inner	820.2.bk.c.43.40	✓	960

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
820.2.bk.c.43.40	✓	960	820.43	even	20	inner
820.2.bk.c.43.47	yes	960	205.43	odd	20	inner
820.2.bk.c.267.40	yes	960	1.1	even	1	trivial
820.2.bk.c.267.47	yes	960	4.3	odd	2	inner
820.2.bv.c.103.16	yes	960	20.3	even	4
820.2.bv.c.103.21	yes	960	5.3	odd	4
820.2.bv.c.207.16	yes	960	41.2	even	20
820.2.bv.c.207.21	yes	960	164.43	odd	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+(-0.734432 - 1.20856i) q^{2} +3.28938i q^{3} +(-0.921218 + 1.77521i) q^{4} +(2.22536 - 0.218601i) q^{5} +(3.97540 - 2.41583i) q^{6} +(0.372010 + 1.14493i) q^{7} +(2.82201 - 0.190425i) q^{8} -7.82003 q^{9} +(-1.89857 - 2.52892i) q^{10} +(-0.512928 + 3.23850i) q^{11} +(-5.83933 - 3.03024i) q^{12} +(-0.691618 + 2.12858i) q^{13} +(1.11050 - 1.29047i) q^{14} +(0.719060 + 7.32005i) q^{15} +(-2.30272 - 3.27070i) q^{16} +(-0.539053 + 0.391645i) q^{17} +(5.74328 + 9.45094i) q^{18} +(3.18160 + 1.62111i) q^{19} +(-1.66198 + 4.15185i) q^{20} +(-3.76611 + 1.22368i) q^{21} +(4.29062 - 1.75856i) q^{22} +(3.12469 - 1.59211i) q^{23} +(0.626381 + 9.28266i) q^{24} +(4.90443 - 0.972929i) q^{25} +(3.08046 - 0.727440i) q^{26} -15.8549i q^{27} +(-2.37519 - 0.394335i) q^{28} +(-10.1164 + 1.60228i) q^{29} +(8.31859 - 6.24510i) q^{30} +(1.82004 + 2.50507i) q^{31} +(-2.26164 + 5.18507i) q^{32} +(-10.6527 - 1.68722i) q^{33} +(0.869223 + 0.363839i) q^{34} +(1.07814 + 2.46655i) q^{35} +(7.20395 - 13.8822i) q^{36} +(-0.848402 - 5.35660i) q^{37} +(-0.377472 - 5.03574i) 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} +(-0.417497 - 0.819384i) q^{43} +(-5.27649 - 3.89392i) q^{44} +(-17.4023 + 1.70946i) q^{45} +(-4.21902 - 2.60706i) q^{46} +(-5.42624 - 1.76309i) q^{47} +(10.7586 - 7.57451i) q^{48} +(4.49065 - 3.26265i) q^{49} +(-4.77781 - 5.21273i) q^{50} +(-1.28827 - 1.77315i) q^{51} +(-3.14154 - 3.18865i) q^{52} +(-2.52572 - 1.83504i) q^{53} +(-19.1615 + 11.6444i) q^{54} +(-0.433510 + 7.31895i) q^{55} +(1.26784 + 3.16016i) q^{56} +(-5.33244 + 10.4655i) q^{57} +(9.36625 + 11.0495i) q^{58} +(-3.94585 + 12.1441i) q^{59} +(-13.6570 - 5.46688i) q^{60} +(0.620962 - 0.201763i) q^{61} +(1.69082 - 4.03942i) q^{62} +(-2.90913 - 8.95338i) q^{63} +(7.92748 - 1.07476i) q^{64} +(-1.07379 + 4.88804i) q^{65} +(5.78457 + 14.1135i) q^{66} +(-6.57174 + 9.04522i) q^{67} +(-0.198665 - 1.31772i) q^{68} +(5.23705 + 10.2783i) q^{69} +(2.18915 - 3.11451i) q^{70} +(0.734882 - 4.63986i) q^{71} +(-22.0682 + 1.48913i) q^{72} +(-2.04839 - 2.04839i) q^{73} +(-5.85066 + 4.95941i) q^{74} +(3.20033 + 16.1325i) q^{75} +(-5.80875 + 4.15461i) q^{76} +(-3.89867 + 0.617489i) q^{77} +(2.39283 + 10.1328i) q^{78} +(3.29665 + 3.29665i) q^{79} +(-5.83934 - 6.77511i) q^{80} +28.6927 q^{81} +(-3.55525 - 8.32828i) q^{82} +(-7.50211 - 7.50211i) q^{83} +(1.29712 - 7.81290i) q^{84} +(-1.11397 + 0.989387i) q^{85} +(-0.683649 + 1.10635i) q^{86} +(-5.27051 - 33.2767i) q^{87} +(-0.830796 + 9.23676i) q^{88} +(-0.0119906 - 0.00610950i) q^{89} +(14.8468 + 19.7762i) q^{90} -2.69436 q^{91} +(-0.0521983 + 7.01364i) q^{92} +(-8.24012 + 5.98679i) q^{93} +(1.85441 + 7.85279i) q^{94} +(7.43457 + 2.91204i) q^{95} +(-17.0557 - 7.43940i) q^{96} +(13.1493 + 9.55353i) q^{97} +(-7.24117 - 3.03101i) 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

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