LMFDB - Embedded newform 552.2.bb.a.469.7

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [552,2,Mod(13,552)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(552, base_ring=CyclotomicField(22)) chi = DirichletCharacter(H, H._module([0, 11, 0, 14])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("552.13"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 552 = 2^{3} \cdot 3 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	552.bb (of order $22$, degree $10$, minimal)

Newform invariants

comment:select newform

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

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

Self dual:	no
Analytic conductor:	$4.40774219157$
Analytic rank:	$0$
Dimension:	$480$
Relative dimension:	$48$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			469.7
Character	$\chi$	$=$	552.469
Dual form			552.2.bb.a.133.7

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.23963 - 0.680676i) q^{2} +(-0.755750 + 0.654861i) q^{3} +(1.07336 + 1.68757i) q^{4} +(-3.34089 + 0.480347i) q^{5} +(1.38260 - 0.297364i) q^{6} +(-0.0697988 + 0.152838i) q^{7} +(-0.181879 - 2.82257i) q^{8} +(0.142315 - 0.989821i) q^{9} +(4.46842 + 1.67861i) q^{10} +(-0.816062 + 2.77925i) q^{11} +(-1.91632 - 0.572480i) q^{12} +(-0.257835 + 0.117749i) q^{13} +(0.190558 - 0.141952i) q^{14} +(2.21031 - 2.55084i) q^{15} +(-1.69579 + 3.62274i) q^{16} +(-0.333588 - 0.214384i) q^{17} +(-0.850165 + 1.13014i) q^{18} +(0.495131 + 0.770438i) q^{19} +(-4.39659 - 5.12240i) q^{20} +(-0.0473372 - 0.161216i) q^{21} +(2.90338 - 2.88977i) q^{22} +(-3.99025 - 2.66043i) q^{23} +(1.98585 + 2.01405i) q^{24} +(6.13332 - 1.80090i) q^{25} +(0.399769 + 0.0295366i) q^{26} +(0.540641 + 0.841254i) q^{27} +(-0.332845 + 0.0462599i) q^{28} +(4.21906 - 6.56499i) q^{29} +(-4.47626 + 1.65758i) q^{30} +(7.04944 - 8.13549i) q^{31} +(4.56807 - 3.33657i) q^{32} +(-1.20328 - 2.63483i) q^{33} +(0.267599 + 0.492822i) q^{34} +(0.159775 - 0.544142i) q^{35} +(1.82315 - 0.822269i) q^{36} +(-8.61922 - 1.23926i) q^{37} +(-0.0893595 - 1.29208i) q^{38} +(0.117749 - 0.257835i) q^{39} +(1.96345 + 9.34253i) q^{40} +(-0.340044 - 2.36506i) q^{41} +(-0.0510551 + 0.232069i) q^{42} +(7.64360 - 6.62321i) q^{43} +(-5.56611 + 1.60598i) q^{44} +3.37524i q^{45} +(3.13553 + 6.01402i) q^{46} +5.97954 q^{47} +(-1.09080 - 3.84840i) q^{48} +(4.56554 + 5.26891i) q^{49} +(-8.82887 - 1.94235i) q^{50} +(0.392501 - 0.0564331i) q^{51} +(-0.475460 - 0.308727i) q^{52} +(-4.46939 - 2.04110i) q^{53} +(-0.0975730 - 1.41084i) q^{54} +(1.39136 - 9.67716i) q^{55} +(0.444092 + 0.169214i) q^{56} +(-0.878725 - 0.258017i) q^{57} +(-9.69870 + 5.26634i) q^{58} +(5.23410 - 2.39033i) q^{59} +(6.67718 + 0.992093i) q^{60} +(-4.46945 - 3.87280i) q^{61} +(-14.2763 + 5.28660i) q^{62} +(0.141349 + 0.0908395i) q^{63} +(-7.93384 + 1.02674i) q^{64} +(0.804836 - 0.517237i) q^{65} +(-0.301836 + 4.08525i) q^{66} +(-3.11621 - 10.6129i) q^{67} +(0.00372815 - 0.793065i) q^{68} +(4.75784 - 0.602435i) q^{69} +(-0.568446 + 0.565780i) q^{70} +(-4.45457 + 1.30798i) q^{71} +(-2.81973 - 0.221666i) q^{72} +(-11.0466 + 7.09920i) q^{73} +(9.84111 + 7.40312i) q^{74} +(-3.45591 + 5.37750i) q^{75} +(-0.768716 + 1.66253i) q^{76} +(-0.367815 - 0.318714i) q^{77} +(-0.321467 + 0.239471i) q^{78} +(-1.02903 - 2.25327i) q^{79} +(3.92528 - 12.9177i) q^{80} +(-0.959493 - 0.281733i) q^{81} +(-1.18831 + 3.16326i) q^{82} +(9.74566 + 1.40121i) q^{83} +(0.221253 - 0.252928i) q^{84} +(1.21746 + 0.555995i) q^{85} +(-13.9835 + 3.00752i) q^{86} +(1.11060 + 7.72438i) q^{87} +(7.99307 + 1.79791i) q^{88} +(-1.33617 - 1.54203i) q^{89} +(2.29745 - 4.18405i) q^{90} -0.0476258i q^{91} +(0.206699 - 9.58944i) q^{92} +10.7648i q^{93} +(-7.41241 - 4.07013i) q^{94} +(-2.02425 - 2.33611i) q^{95} +(-1.26733 + 5.51306i) q^{96} +(-0.942731 - 6.55684i) q^{97} +(-2.07315 - 9.63915i) q^{98} +(2.63483 + 1.20328i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 480 q + 4 q^{2} + 4 q^{6} + 8 q^{7} + 4 q^{8} + 48 q^{9} - 4 q^{10} - 4 q^{14} - 8 q^{15} - 8 q^{16} - 4 q^{18} + 20 q^{20} + 20 q^{22} - 8 q^{23} - 4 q^{24} + 48 q^{25} + 16 q^{30} + 16 q^{31} + 4 q^{32}+ \cdots - 132 q^{98}+O(q^{100}) $ 480 * q + 4 * q^2 + 4 * q^6 + 8 * q^7 + 4 * q^8 + 48 * q^9 - 4 * q^10 - 4 * q^14 - 8 * q^15 - 8 * q^16 - 4 * q^18 + 20 * q^20 + 20 * q^22 - 8 * q^23 - 4 * q^24 + 48 * q^25 + 16 * q^30 + 16 * q^31 + 4 * q^32 + 6 * q^34 - 22 * q^36 + 90 * q^38 - 74 * q^40 + 90 * q^42 - 130 * q^44 + 96 * q^46 - 88 * q^48 - 48 * q^49 + 142 * q^50 - 142 * q^52 + 18 * q^54 - 82 * q^56 + 22 * q^58 + 2 * q^60 - 40 * q^62 - 8 * q^63 + 16 * q^66 - 44 * q^68 + 16 * q^71 - 4 * q^72 + 10 * q^74 - 138 * q^76 - 40 * q^79 - 170 * q^80 - 48 * q^81 - 124 * q^82 - 8 * q^84 - 216 * q^86 - 108 * q^88 + 4 * q^90 - 198 * q^92 - 238 * q^94 + 80 * q^95 + 4 * q^96 - 132 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/552\mathbb{Z}\right)^\times$.

$n$	$97$	$185$	$277$	$415$
$\chi(n)$	$e\left(\frac{5}{11}\right)$	$1$	$-1$	$1$

Coefficient data

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

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

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

$2$	−1.23963	−	0.680676i	−0.876550	−	0.481311i
$2$	−1.23963	−	0.680676i	−0.876550	−	0.481311i
$3$	−0.755750	+	0.654861i	−0.436332	+	0.378084i
$3$	−0.755750	+	0.654861i	−0.436332	+	0.378084i
$4$	1.07336	+	1.68757i	0.536680	+	0.843786i
$5$	−3.34089	+	0.480347i	−1.49409	+	0.214818i	−0.840409	−	0.541953i	$-0.817685\pi$
$5$	−3.34089	+	0.480347i	−1.49409	+	0.214818i	−0.653681	+	0.756771i	$0.726776\pi$
$6$	1.38260	−	0.297364i	0.564443	−	0.121398i
$7$	−0.0697988	+	0.152838i	−0.0263815	+	0.0577674i	−0.922364	−	0.386322i	$-0.873745\pi$
$7$	−0.0697988	+	0.152838i	−0.0263815	+	0.0577674i	0.895983	+	0.444089i	$0.146473\pi$
$8$	−0.181879	−	2.82257i	−0.0643041	−	0.997930i
$9$	0.142315	−	0.989821i	0.0474383	−	0.329940i
$10$	4.46842	+	1.67861i	1.41304	+	0.530823i
$11$	−0.816062	+	2.77925i	−0.246052	+	0.837976i	0.740152	+	0.672440i	$0.234754\pi$
$11$	−0.816062	+	2.77925i	−0.246052	+	0.837976i	−0.986204	+	0.165536i	$0.947065\pi$
$12$	−1.91632	−	0.572480i	−0.553193	−	0.165261i
$13$	−0.257835	+	0.117749i	−0.0715105	+	0.0326578i	−0.450849	−	0.892600i	$-0.648879\pi$
$13$	−0.257835	+	0.117749i	−0.0715105	+	0.0326578i	0.379339	+	0.925258i	$0.376152\pi$
$14$	0.190558	−	0.141952i	0.0509287	−	0.0379383i
$15$	2.21031	−	2.55084i	0.570700	−	0.658623i
$16$	−1.69579	+	3.62274i	−0.423949	+	0.905686i
$17$	−0.333588	−	0.214384i	−0.0809070	−	0.0519958i	0.499562	−	0.866278i	$-0.333494\pi$
$17$	−0.333588	−	0.214384i	−0.0809070	−	0.0519958i	−0.580469	+	0.814282i	$0.697131\pi$
$18$	−0.850165	+	1.13014i	−0.200386	+	0.266377i
$19$	0.495131	+	0.770438i	0.113591	+	0.176751i	0.893394	−	0.449274i	$-0.148317\pi$
$19$	0.495131	+	0.770438i	0.113591	+	0.176751i	−0.779803	+	0.626025i	$0.784681\pi$
$20$	−4.39659	−	5.12240i	−0.983108	−	1.14540i
$21$	−0.0473372	−	0.161216i	−0.0103298	−	0.0351802i
$22$	2.90338	−	2.88977i	0.619004	−	0.616101i
$23$	−3.99025	−	2.66043i	−0.832024	−	0.554739i
$23$	−3.99025	−	2.66043i	−0.832024	−	0.554739i
$24$	1.98585	+	2.01405i	0.405359	+	0.411117i
$25$	6.13332	−	1.80090i	1.22666	−	0.360181i
$26$	0.399769	+	0.0295366i	0.0784011	+	0.00579261i
$27$	0.540641	+	0.841254i	0.104046	+	0.161899i
$28$	−0.332845	+	0.0462599i	−0.0629017	+	0.00874229i
$29$	4.21906	−	6.56499i	0.783460	−	1.21909i	−0.188066	−	0.982156i	$-0.560222\pi$
$29$	4.21906	−	6.56499i	0.783460	−	1.21909i	0.971526	−	0.236931i	$-0.0761416\pi$
$30$	−4.47626	+	1.65758i	−0.817250	+	0.302632i
$31$	7.04944	−	8.13549i	1.26612	−	1.46118i	0.439673	−	0.898158i	$-0.355094\pi$
$31$	7.04944	−	8.13549i	1.26612	−	1.46118i	0.826444	−	0.563019i	$-0.190360\pi$
$32$	4.56807	−	3.33657i	0.807529	−	0.589828i
$33$	−1.20328	−	2.63483i	−0.209465	−	0.458664i
$34$	0.267599	+	0.492822i	0.0458929	+	0.0845183i
$35$	0.159775	−	0.544142i	0.0270068	−	0.0919768i
$36$	1.82315	−	0.822269i	0.303858	−	0.137045i
$37$	−8.61922	−	1.23926i	−1.41699	−	0.203733i	−0.609114	−	0.793083i	$-0.708475\pi$
$37$	−8.61922	−	1.23926i	−1.41699	−	0.203733i	−0.807878	+	0.589350i	$0.799384\pi$
$38$	−0.0893595	−	1.29208i	−0.0144960	−	0.209603i
$39$	0.117749	−	0.257835i	0.0188550	−	0.0412866i
$40$	1.96345	+	9.34253i	0.310449	+	1.47718i
$41$	−0.340044	−	2.36506i	−0.0531060	−	0.369360i	−0.998993	−	0.0448644i	$-0.985714\pi$
$41$	−0.340044	−	2.36506i	−0.0531060	−	0.369360i	0.945887	−	0.324496i	$-0.105195\pi$
$42$	−0.0510551	+	0.232069i	−0.00787798	+	0.0358091i
$43$	7.64360	−	6.62321i	1.16564	−	1.01003i	0.165923	−	0.986139i	$-0.446940\pi$
$43$	7.64360	−	6.62321i	1.16564	−	1.01003i	0.999715	−	0.0238918i	$-0.00760573\pi$
$44$	−5.56611	+	1.60598i	−0.839123	+	0.242110i
$45$			3.37524i			0.503151i
$46$	3.13553	+	6.01402i	0.462309	+	0.886719i
$47$	5.97954			0.872205			0.436103	−	0.899897i	$-0.356359\pi$
$47$	5.97954			0.872205			0.436103	+	0.899897i	$0.356359\pi$
$48$	−1.09080	−	3.84840i	−0.157443	−	0.555468i
$49$	4.56554	+	5.26891i	0.652220	+	0.752702i
$50$	−8.82887	−	1.94235i	−1.24859	−	0.274690i
$51$	0.392501	−	0.0564331i	0.0549611	−	0.00790222i
$52$	−0.475460	−	0.308727i	−0.0659344	−	0.0428128i
$53$	−4.46939	−	2.04110i	−0.613918	−	0.280367i	0.0840886	−	0.996458i	$-0.473202\pi$
$53$	−4.46939	−	2.04110i	−0.613918	−	0.280367i	−0.698007	+	0.716091i	$0.745929\pi$
$54$	−0.0975730	−	1.41084i	−0.0132780	−	0.191991i
$55$	1.39136	−	9.67716i	0.187612	−	1.30487i
$56$	0.444092	+	0.169214i	0.0593443	+	0.0226122i
$57$	−0.878725	−	0.258017i	−0.116390	−	0.0341752i
$58$	−9.69870	+	5.26634i	−1.27350	+	0.691504i
$59$	5.23410	−	2.39033i	0.681421	−	0.311195i	−0.0444635	−	0.999011i	$-0.514158\pi$
$59$	5.23410	−	2.39033i	0.681421	−	0.311195i	0.725885	+	0.687816i	$0.241431\pi$
$60$	6.67718	+	0.992093i	0.862020	+	0.128079i
$61$	−4.46945	−	3.87280i	−0.572255	−	0.495862i	0.319985	−	0.947422i	$-0.396322\pi$
$61$	−4.46945	−	3.87280i	−0.572255	−	0.495862i	−0.892240	+	0.451561i	$0.850867\pi$
$62$	−14.2763	+	5.28660i	−1.81309	+	0.671399i
$63$	0.141349	+	0.0908395i	0.0178083	+	0.0114447i
$64$	−7.93384	+	1.02674i	−0.991730	+	0.128342i
$65$	0.804836	−	0.517237i	0.0998277	−	0.0641553i
$66$	−0.301836	+	4.08525i	−0.0371534	+	0.502860i
$67$	−3.11621	−	10.6129i	−0.380706	−	1.29657i	−0.897711	−	0.440584i	$-0.854771\pi$
$67$	−3.11621	−	10.6129i	−0.380706	−	1.29657i	0.517005	−	0.855982i	$-0.327047\pi$
$68$	0.00372815	−	0.793065i	0.000452104	−	0.0961733i
$69$	4.75784	−	0.602435i	0.572777	−	0.0725246i
$70$	−0.568446	+	0.565780i	−0.0679423	+	0.0676236i
$71$	−4.45457	+	1.30798i	−0.528660	+	0.155228i	−0.535161	−	0.844750i	$-0.679749\pi$
$71$	−4.45457	+	1.30798i	−0.528660	+	0.155228i	0.00650084	+	0.999979i	$0.497931\pi$
$72$	−2.81973	−	0.221666i	−0.332308	−	0.0261236i
$73$	−11.0466	+	7.09920i	−1.29290	+	0.830898i	−0.992420	−	0.122889i	$-0.960784\pi$
$73$	−11.0466	+	7.09920i	−1.29290	+	0.830898i	−0.300482	+	0.953787i	$0.597148\pi$
$74$	9.84111	+	7.40312i	1.14401	+	0.860595i
$75$	−3.45591	+	5.37750i	−0.399054	+	0.620940i
$76$	−0.768716	+	1.66253i	−0.0881778	+	0.190705i
$77$	−0.367815	−	0.318714i	−0.0419165	−	0.0363208i
$78$	−0.321467	+	0.239471i	−0.0363990	+	0.0271147i
$79$	−1.02903	−	2.25327i	−0.115775	−	0.253512i	0.842869	−	0.538118i	$-0.180865\pi$
$79$	−1.02903	−	2.25327i	−0.115775	−	0.253512i	−0.958645	+	0.284606i	$0.908137\pi$
$80$	3.92528	−	12.9177i	0.438860	−	1.44425i
$81$	−0.959493	−	0.281733i	−0.106610	−	0.0313036i
$82$	−1.18831	+	3.16326i	−0.131227	+	0.349323i
$83$	9.74566	+	1.40121i	1.06973	+	0.153803i	0.654611	−	0.755966i	$-0.272833\pi$
$83$	9.74566	+	1.40121i	1.06973	+	0.153803i	0.415114	+	0.909769i	$0.363742\pi$
$84$	0.221253	−	0.252928i	0.0241407	−	0.0275967i
$85$	1.21746	+	0.555995i	0.132052	+	0.0603061i
$86$	−13.9835	+	3.00752i	−1.50788	+	0.324309i
$87$	1.11060	+	7.72438i	0.119069	+	0.828141i
$88$	7.99307	+	1.79791i	0.852064	+	0.191657i
$89$	−1.33617	−	1.54203i	−0.141634	−	0.163455i	0.680500	−	0.732748i	$-0.261762\pi$
$89$	−1.33617	−	1.54203i	−0.141634	−	0.163455i	−0.822135	+	0.569293i	$0.807217\pi$
$90$	2.29745	−	4.18405i	0.242172	−	0.441037i
$91$		−	0.0476258i		−	0.00499254i
$92$	0.206699	−	9.58944i	0.0215499	−	0.999768i
$93$			10.7648i			1.11626i
$94$	−7.41241	−	4.07013i	−0.764531	−	0.419802i
$95$	−2.02425	−	2.33611i	−0.207684	−	0.239680i
$96$	−1.26733	+	5.51306i	−0.129346	+	0.562675i
$97$	−0.942731	−	6.55684i	−0.0957199	−	0.665746i	−0.980030	−	0.198847i	$-0.936280\pi$
$97$	−0.942731	−	6.55684i	−0.0957199	−	0.665746i	0.884311	−	0.466899i	$-0.154629\pi$
$98$	−2.07315	−	9.63915i	−0.209420	−	0.973701i
$99$	2.63483	+	1.20328i	0.264810	+	0.120935i
$100$	9.62242	+	8.41739i	0.962242	+	0.841739i
$101$	−1.47559	−	0.212158i	−0.146827	−	0.0211105i	0.0685094	−	0.997650i	$-0.478176\pi$
$101$	−1.47559	−	0.212158i	−0.146827	−	0.0211105i	−0.215336	+	0.976540i	$0.569085\pi$
$102$	−0.524968	−	0.197210i	−0.0519796	−	0.0195267i
$103$	7.99054	+	2.34623i	0.787331	+	0.231181i	0.650594	−	0.759426i	$-0.274520\pi$
$103$	7.99054	+	2.34623i	0.787331	+	0.231181i	0.136738	+	0.990607i	$0.456338\pi$
$104$	0.379251	+	0.706342i	0.0371886	+	0.0692625i
$105$	0.235588	+	0.515865i	0.0229910	+	0.0503433i
$106$	4.15106	+	5.57242i	0.403186	+	0.541241i
$107$	−0.580625	−	0.503115i	−0.0561312	−	0.0486379i	0.626343	−	0.779547i	$-0.284551\pi$
$107$	−0.580625	−	0.503115i	−0.0561312	−	0.0486379i	−0.682475	+	0.730909i	$0.739096\pi$
$108$	−0.839373	+	1.81534i	−0.0807687	+	0.174681i
$109$	−6.23010	+	9.69423i	−0.596736	+	0.928539i	0.403174	+	0.915123i	$0.367907\pi$
$109$	−6.23010	+	9.69423i	−0.596736	+	0.928539i	−0.999910	+	0.0134158i	$0.995730\pi$
$110$	−8.31178	+	11.0490i	−0.792497	+	1.05348i
$111$	7.32552	−	4.70782i	0.695307	−	0.446847i
$112$	−0.435329	−	0.512045i	−0.0411347	−	0.0483837i
$113$	−3.01472	+	0.885202i	−0.283601	+	0.0832728i	−0.420439	−	0.907321i	$-0.638124\pi$
$113$	−3.01472	+	0.885202i	−0.283601	+	0.0832728i	0.136838	+	0.990593i	$0.456306\pi$
$114$	0.913667	+	0.917972i	0.0855727	+	0.0859759i
$115$	14.6089	+	6.97151i	1.36229	+	0.650096i
$116$	15.6075	+	0.0733696i	1.44912	+	0.00681220i
$117$	0.0798570	+	0.271968i	0.00738278	+	0.0251434i
$118$	−8.11538	−	0.599599i	−0.747081	−	0.0551976i
$119$	0.0560501	−	0.0360212i	0.00513811	−	0.00330206i
$120$	−7.60193	−	5.77482i	−0.693958	−	0.527167i
$121$	2.19551	+	1.41097i	0.199591	+	0.128270i
$122$	2.90434	+	7.84309i	0.262947	+	0.710080i
$123$	1.80577	+	1.56471i	0.162821	+	0.141085i
$124$	21.2958	+	3.16412i	1.91242	+	0.284147i
$125$	−4.27452	+	1.95211i	−0.382325	+	0.174602i
$126$	−0.113388	−	0.208820i	−0.0101014	−	0.0186032i
$127$	−2.68743	−	0.789102i	−0.238471	−	0.0700215i	0.160313	−	0.987066i	$-0.448750\pi$
$127$	−2.68743	−	0.789102i	−0.238471	−	0.0700215i	−0.398784	+	0.917045i	$0.630568\pi$
$128$	10.5339	+	4.12760i	0.931073	+	0.364832i
$129$	−1.43936	+	10.0110i	−0.126729	+	0.881418i
$130$	−1.34977	+	0.0933491i	−0.118383	+	0.00818726i
$131$	13.7040	+	6.25839i	1.19732	+	0.546798i	0.911427	−	0.411463i	$-0.134982\pi$
$131$	13.7040	+	6.25839i	1.19732	+	0.546798i	0.285895	+	0.958261i	$0.407709\pi$
$132$	3.15490	−	4.85875i	0.274599	−	0.422900i
$133$	−0.152312	+	0.0218991i	−0.0132071	+	0.00189890i
$134$	−3.36096	+	15.2771i	−0.290343	+	1.31974i
$135$	−2.21031	−	2.55084i	−0.190233	−	0.219541i
$136$	−0.544442	+	0.980569i	−0.0466855	+	0.0840831i
$137$	−5.23428			−0.447195			−0.223597	−	0.974682i	$-0.571780\pi$
$137$	−5.23428			−0.447195			−0.223597	+	0.974682i	$0.571780\pi$
$138$	−6.30802	−	2.49175i	−0.536975	−	0.212112i
$139$			7.29211i			0.618509i	0.950979	+	0.309255i	$0.100080\pi$
$139$			7.29211i			0.618509i	−0.950979	+	0.309255i	$0.899920\pi$
$140$	1.08977	−	0.314430i	0.0921028	−	0.0265742i
$141$	−4.51903	+	3.91576i	−0.380571	+	0.329767i
$142$	6.41232	+	1.41071i	0.538110	+	0.118384i
$143$	−0.116846	−	0.812679i	−0.00977112	−	0.0679596i
$144$	3.34453	+	2.19410i	0.278711	+	0.182842i
$145$	−10.9419	+	23.9595i	−0.908678	+	1.98973i
$146$	18.5259	−	1.28124i	1.53321	−	0.106036i
$147$	−6.90081	−	0.992186i	−0.569169	−	0.0818341i
$148$	−7.16020	−	15.8757i	−0.588565	−	1.30498i
$149$	−3.62521	+	12.3463i	−0.296989	+	1.01145i	0.666900	+	0.745147i	$0.267621\pi$
$149$	−3.62521	+	12.3463i	−0.296989	+	1.01145i	−0.963889	+	0.266304i	$0.914198\pi$
$150$	7.94438	−	4.31375i	0.648656	−	0.352216i
$151$	−0.964925	−	2.11289i	−0.0785245	−	0.171945i	0.866298	−	0.499528i	$-0.166493\pi$
$151$	−0.964925	−	2.11289i	−0.0785245	−	0.171945i	−0.944822	+	0.327583i	$0.893766\pi$
$152$	2.08456	−	1.53767i	0.169081	−	0.124721i
$153$	−0.259677	+	0.299683i	−0.0209936	+	0.0242279i
$154$	0.239014	+	0.645450i	0.0192603	+	0.0520119i
$155$	−19.6435	+	30.5659i	−1.57781	+	2.45511i
$156$	0.561502	−	0.0780395i	0.0449562	−	0.00624816i
$157$	−7.94317	−	12.3598i	−0.633934	−	0.986421i	−0.998473	−	0.0552331i	$-0.982410\pi$
$157$	−7.94317	−	12.3598i	−0.633934	−	0.986421i	0.364539	−	0.931188i	$-0.381227\pi$
$158$	−0.258126	+	3.49365i	−0.0205354	+	0.277940i
$159$	4.71438	−	1.38427i	0.373874	−	0.109779i
$160$	−13.6587	+	13.3414i	−1.07981	+	1.05473i
$161$	0.685131	−	0.424167i	0.0539959	−	0.0334290i
$162$	0.997647	+	1.00235i	0.0783825	+	0.0787519i
$163$	−3.68489	−	12.5496i	−0.288623	−	0.982958i	−0.968371	−	0.249513i	$-0.919729\pi$
$163$	−3.68489	−	12.5496i	−0.288623	−	0.982958i	0.679749	−	0.733445i	$-0.262089\pi$
$164$	3.62622	−	3.11241i	0.283160	−	0.243038i
$165$	5.28567	+	8.22466i	0.411488	+	0.640289i
$166$	−11.1272	−	8.37062i	−0.863640	−	0.649686i
$167$	−17.5659	−	11.2889i	−1.35929	−	0.873564i	−0.361033	−	0.932553i	$-0.617576\pi$
$167$	−17.5659	−	11.2889i	−1.35929	−	0.873564i	−0.998259	+	0.0589895i	$0.981212\pi$
$168$	−0.446434	+	0.162935i	−0.0344431	+	0.0125707i
$169$	−8.46058	+	9.76402i	−0.650814	+	0.751079i
$170$	−1.13074	−	1.51792i	−0.0867242	−	0.116419i
$171$	0.833061	−	0.380446i	0.0637058	−	0.0290934i
$172$	19.3815	+	5.79002i	1.47782	+	0.441485i
$173$	5.94240	−	20.2379i	0.451792	−	1.53866i	−0.347477	−	0.937689i	$-0.612961\pi$
$173$	5.94240	−	20.2379i	0.451792	−	1.53866i	0.799269	−	0.600974i	$-0.205220\pi$
$174$	3.88107	−	10.3313i	0.294223	−	0.783216i
$175$	−0.152852	+	1.06311i	−0.0115545	+	0.0803632i
$176$	−8.68465	−	7.66943i	−0.654630	−	0.578105i
$177$	−2.39033	+	5.23410i	−0.179668	+	0.393419i
$178$	0.606739	+	2.82104i	0.0454770	+	0.211446i
$179$	8.24492	−	1.18544i	0.616254	−	0.0886040i	0.172884	−	0.984942i	$-0.444692\pi$
$179$	8.24492	−	1.18544i	0.616254	−	0.0886040i	0.443371	+	0.896338i	$0.353782\pi$
$180$	−5.69596	+	3.62285i	−0.424552	+	0.270031i
$181$	19.5206	−	16.9147i	1.45095	−	1.25726i	0.541990	−	0.840385i	$-0.317671\pi$
$181$	19.5206	−	16.9147i	1.45095	−	1.25726i	0.908964	−	0.416874i	$-0.136874\pi$
$182$	−0.0324177	+	0.0590383i	−0.00240296	+	0.00437621i
$183$	5.91394			0.437171
$184$	−6.78353	+	11.7466i	−0.500088	+	0.865974i
$185$	29.3911			2.16088
$186$	7.32734	−	13.3443i	0.537266	−	0.978455i
$187$	0.868056	−	0.752175i	0.0634785	−	0.0550045i
$188$	6.41820	+	10.0909i	0.468095	+	0.735954i
$189$	−0.166312	+	0.0239120i	−0.0120974	+	0.00173934i
$190$	0.919187	+	4.27377i	0.0666848	+	0.310052i
$191$	0.709918	−	1.55450i	0.0513678	−	0.112480i	−0.882208	−	0.470860i	$-0.843944\pi$
$191$	0.709918	−	1.55450i	0.0513678	−	0.112480i	0.933576	+	0.358380i	$0.116671\pi$
$192$	5.32363	−	5.97152i	0.384200	−	0.430957i
$193$	0.966749	−	6.72389i	0.0695881	−	0.483996i	−0.924989	−	0.379994i	$-0.875926\pi$
$193$	0.966749	−	6.72389i	0.0695881	−	0.483996i	0.994577	−	0.104002i	$-0.0331648\pi$
$194$	−3.29445	+	8.76975i	−0.236528	+	0.629631i
$195$	−0.269537	+	0.917957i	−0.0193019	+	0.0657363i
$196$	−3.99120	+	13.3601i	−0.285085	+	0.954294i
$197$	3.37457	−	1.54111i	0.240428	−	0.109800i	−0.291557	−	0.956553i	$-0.594173\pi$
$197$	3.37457	−	1.54111i	0.240428	−	0.109800i	0.531985	+	0.846754i	$0.321446\pi$
$198$	−2.44716	−	3.28509i	−0.173912	−	0.233461i
$199$	−14.0749	+	16.2433i	−0.997740	+	1.15145i	−0.00928234	+	0.999957i	$0.502955\pi$
$199$	−14.0749	+	16.2433i	−0.997740	+	1.15145i	−0.988458	+	0.151497i	$0.951591\pi$
$200$	−6.19871	−	16.9842i	−0.438315	−	1.20096i
$201$	9.30502	+	5.97997i	0.656325	+	0.421795i
$202$	1.68478	+	1.26740i	0.118540	+	0.0891737i
$203$	0.708895	+	1.10306i	0.0497547	+	0.0774198i
$204$	0.516530	+	0.601800i	0.0361643	+	0.0421344i
$205$	2.27210	+	7.73805i	0.158690	+	0.540449i
$206$	−8.30828	−	8.34743i	−0.578865	−	0.581593i
$207$	−3.20123	+	3.57101i	−0.222501	+	0.248203i
$208$	0.0106596	−	1.13375i	0.000739110	−	0.0786113i
$209$	−2.54530	+	0.747367i	−0.176062	+	0.0516965i
$210$	0.0590957	−	0.799841i	0.00407799	−	0.0551943i
$211$	−10.8985	−	16.9584i	−0.750284	−	1.16747i	−0.980917	−	0.194425i	$-0.937716\pi$
$211$	−10.8985	−	16.9584i	−0.750284	−	1.16747i	0.230633	−	0.973041i	$-0.425920\pi$
$212$	−1.35276	−	9.73325i	−0.0929080	−	0.668483i
$213$	2.50999	−	3.90562i	0.171982	−	0.267609i
$214$	0.377302	+	1.01889i	0.0257918	+	0.0696501i
$215$	−22.3549	+	25.7990i	−1.52459	+	1.75948i
$216$	2.27617	−	1.67901i	0.154874	−	0.114242i
$217$	0.751370	+	1.64527i	0.0510063	+	0.111688i
$218$	14.3216	−	7.77657i	0.969984	−	0.526696i
$219$	3.69945	−	12.5992i	0.249986	−	0.851373i
$220$	17.8243	−	8.03905i	1.20172	−	0.541992i
$221$	0.111254	+	0.0159959i	0.00748377	+	0.00107600i
$222$	−12.2854	+	0.849652i	−0.824544	+	0.0570249i
$223$	4.97575	−	10.8954i	0.333201	−	0.729607i	−0.666676	−	0.745348i	$-0.732283\pi$
$223$	4.97575	−	10.8954i	0.333201	−	0.729607i	0.999876	+	0.0157406i	$0.00501059\pi$
$224$	0.191109	+	0.931064i	0.0127690	+	0.0622094i
$225$	−0.909712	−	6.32718i	−0.0606475	−	0.421812i
$226$	4.33967	+	0.954726i	0.288671	+	0.0635074i
$227$	5.46468	−	4.73517i	0.362703	−	0.314284i	−0.454375	−	0.890810i	$-0.650138\pi$
$227$	5.46468	−	4.73517i	0.362703	−	0.314284i	0.817079	+	0.576526i	$0.195592\pi$
$228$	−0.507766	−	1.75986i	−0.0336277	−	0.116549i
$229$			1.42080i			0.0938888i	0.998898	+	0.0469444i	$0.0149484\pi$
$229$			1.42080i			0.0938888i	−0.998898	+	0.0469444i	$0.985052\pi$
$230$	−13.3643	−	18.5860i	−0.881214	−	1.22552i
$231$	0.486690			0.0320218
$232$	−19.2975	−	10.7146i	−1.26694	−	0.703446i
$233$	8.27257	+	9.54706i	0.541954	+	0.625448i	0.958989	−	0.283442i	$-0.0914763\pi$
$233$	8.27257	+	9.54706i	0.541954	+	0.625448i	−0.417035	+	0.908890i	$0.636931\pi$
$234$	0.0861290	−	0.391496i	0.00563043	−	0.0255929i
$235$	−19.9769	+	2.87225i	−1.30315	+	0.187365i
$236$	9.65193	+	6.26722i	0.628287	+	0.407961i
$237$	2.25327	+	1.02903i	0.146365	+	0.0668428i
$238$	−0.0940002	+	0.00650099i	−0.00609312	+	0.000421396i
$239$	2.17766	−	15.1460i	0.140861	−	0.979711i	−0.789679	−	0.613521i	$-0.789753\pi$
$239$	2.17766	−	15.1460i	0.140861	−	0.979711i	0.930540	−	0.366191i	$-0.119338\pi$
$240$	5.49279	+	12.3331i	0.354558	+	0.796098i
$241$	−18.3646	−	5.39233i	−1.18297	−	0.347351i	−0.369650	−	0.929171i	$-0.620522\pi$
$241$	−18.3646	−	5.39233i	−1.18297	−	0.347351i	−0.813317	+	0.581820i	$0.802341\pi$
$242$	−1.76120	−	3.24350i	−0.113214	−	0.208500i
$243$	0.909632	−	0.415415i	0.0583529	−	0.0266489i
$244$	1.73830	−	11.6994i	0.111283	−	0.748980i
$245$	−17.7838	−	15.4098i	−1.13617	−	0.984495i
$246$	−1.17343	−	3.16881i	−0.0748150	−	0.202036i
$247$	−0.218381	−	0.140345i	−0.0138952	−	0.00892992i
$248$	−24.2452	−	18.4179i	−1.53957	−	1.16954i
$249$	−8.28288	+	5.32308i	−0.524906	+	0.337337i
$250$	6.62757	+	0.489673i	0.419164	+	0.0309697i
$251$	−1.10707	−	3.77033i	−0.0698775	−	0.237981i	0.917147	−	0.398548i	$-0.130486\pi$
$251$	−1.10707	−	3.77033i	−0.0698775	−	0.237981i	−0.987025	+	0.160567i	$0.948668\pi$
$252$	−0.00157970	+	0.336040i	−9.95119e−5	+	0.0211685i
$253$	10.6503	−	8.91883i	0.669579	−	0.560722i
$254$	2.79430	+	2.80747i	0.175330	+	0.176156i
$255$	−1.28419	+	0.377073i	−0.0804193	+	0.0236132i
$256$	−10.2486	−	12.2869i	−0.640535	−	0.767929i
$257$	−1.95586	+	1.25695i	−0.122003	+	0.0784066i	−0.600219	−	0.799836i	$-0.704920\pi$
$257$	−1.95586	+	1.25695i	−0.122003	+	0.0784066i	0.478216	+	0.878242i	$0.341284\pi$
$258$	8.59851	−	11.4302i	0.535320	−	0.711611i
$259$	0.791017	−	1.23085i	0.0491514	−	0.0764811i
$260$	1.73675	+	0.803037i	0.107709	+	0.0498023i
$261$	−5.89773	−	5.11041i	−0.365060	−	0.316327i
$262$	−12.7279	−	17.0860i	−0.786332	−	1.05558i
$263$	−0.919176	−	2.01271i	−0.0566788	−	0.124109i	0.879173	−	0.476502i	$-0.158095\pi$
$263$	−0.919176	−	2.01271i	−0.0566788	−	0.124109i	−0.935852	+	0.352393i	$0.885368\pi$
$264$	−7.21813	+	3.87558i	−0.444245	+	0.238525i
$265$	15.9122	+	4.67223i	0.977476	+	0.287013i
$266$	0.203716	+	0.0765282i	0.0124907	+	0.00469225i
$267$	2.01963	+	0.290378i	0.123599	+	0.0177709i
$268$	14.5651	−	16.6502i	0.889706	−	1.01708i
$269$	−6.10971	−	2.79021i	−0.372515	−	0.170122i	0.220355	−	0.975420i	$-0.429278\pi$
$269$	−6.10971	−	2.79021i	−0.372515	−	0.170122i	−0.592871	+	0.805298i	$0.702006\pi$
$270$	1.00367	+	4.66660i	0.0610817	+	0.284000i
$271$	0.231883	+	1.61278i	0.0140859	+	0.0979697i	0.995652	−	0.0931556i	$-0.0296954\pi$
$271$	0.231883	+	1.61278i	0.0140859	+	0.0979697i	−0.981566	+	0.191125i	$0.938786\pi$
$272$	1.34236	−	0.844953i	0.0813923	−	0.0512328i
$273$	0.0311882	+	0.0359931i	0.00188760	+	0.00217840i
$274$	6.48857	+	3.56285i	0.391989	+	0.215240i
$275$			18.5157i			1.11654i
$276$	6.12353	+	7.38257i	0.368593	+	0.444379i
$277$		−	21.9534i		−	1.31905i	−0.751683	−	0.659525i	$-0.770758\pi$
$277$		−	21.9534i		−	1.31905i	0.751683	−	0.659525i	$-0.229242\pi$
$278$	4.96357	−	9.03952i	0.297695	−	0.542154i
$279$	−7.04944	−	8.13549i	−0.422039	−	0.487059i
$280$	−1.56494	−	0.352007i	−0.0935231	−	0.0210365i
$281$	0.896892	+	6.23802i	0.0535041	+	0.372129i	0.998928	+	0.0462867i	$0.0147388\pi$
$281$	0.896892	+	6.23802i	0.0535041	+	0.372129i	−0.945424	+	0.325842i	$0.894352\pi$
$282$	8.26729	−	1.77810i	0.492310	−	0.105884i
$283$	−5.85853	−	2.67550i	−0.348254	−	0.159042i	0.233606	−	0.972331i	$-0.424947\pi$
$283$	−5.85853	−	2.67550i	−0.348254	−	0.159042i	−0.581860	+	0.813289i	$0.697675\pi$
$284$	−6.98866	−	6.11347i	−0.414701	−	0.362767i
$285$	3.05966	+	0.439912i	0.181238	+	0.0260581i
$286$	−0.408326	+	1.08695i	−0.0241448	+	0.0642730i
$287$	0.385206	+	0.113107i	0.0227380	+	0.00667648i
$288$	−2.65251	−	4.99642i	−0.156300	−	0.294417i
$289$	−6.99673	−	15.3207i	−0.411573	−	0.901218i
$290$	29.8726	−	22.2530i	1.75418	−	1.30674i
$291$	5.00629	+	4.33797i	0.293474	+	0.254296i
$292$	−23.8373	−	11.0219i	−1.39498	−	0.645006i
$293$	−9.12323	+	14.1960i	−0.532985	+	0.829340i	−0.998446	−	0.0557280i	$-0.982252\pi$
$293$	−9.12323	+	14.1960i	−0.532985	+	0.829340i	0.465461	+	0.885068i	$0.345888\pi$
$294$	7.87908	+	5.92716i	0.459517	+	0.345679i
$295$	−16.3383	+	10.5000i	−0.951254	+	0.611334i
$296$	−1.93023	+	24.5538i	−0.112193	+	1.42716i
$297$	−2.77925	+	0.816062i	−0.161269	+	0.0473527i
$298$	12.8978	−	12.8373i	0.747147	−	0.743643i
$299$	1.34209	+	0.216104i	0.0776150	+	0.0124976i
$300$	−12.7844	−	0.0600984i	−0.738105	−	0.00346978i
$301$	0.478765	+	1.63053i	0.0275956	+	0.0939819i
$302$	−0.242045	+	3.27600i	−0.0139281	+	0.188513i
$303$	1.25411	−	0.805969i	0.0720468	−	0.0463017i
$304$	−3.63074	+	0.487227i	−0.208237	+	0.0279444i
$305$	16.7922	+	10.7917i	0.961520	+	0.617931i
$306$	0.525889	−	0.194740i	0.0300631	−	0.0111325i
$307$	−7.58765	−	6.57473i	−0.433050	−	0.375240i	0.410884	−	0.911688i	$-0.365220\pi$
$307$	−7.58765	−	6.57473i	−0.433050	−	0.375240i	−0.843933	+	0.536448i	$0.819766\pi$
$308$	0.143054	−	0.962810i	0.00815125	−	0.0548612i
$309$	−7.57530	+	3.45952i	−0.430944	+	0.196805i
$310$	45.1562	−	24.5195i	2.56470	−	1.39262i
$311$	21.1710	+	6.21636i	1.20050	+	0.352497i	0.820042	−	0.572303i	$-0.193950\pi$
$311$	21.1710	+	6.21636i	1.20050	+	0.352497i	0.380453	+	0.924800i	$0.375768\pi$
$312$	−0.749174	−	0.285461i	−0.0424136	−	0.0161610i
$313$	4.05773	−	28.2222i	0.229357	−	1.59521i	−0.471472	−	0.881881i	$-0.656277\pi$
$313$	4.05773	−	28.2222i	0.229357	−	1.59521i	0.700829	−	0.713330i	$-0.252814\pi$
$314$	1.43356	+	20.7283i	0.0809003	+	1.16977i
$315$	−0.515865	−	0.235588i	−0.0290657	−	0.0132739i
$316$	2.69802	−	4.15513i	0.151776	−	0.233744i
$317$	−30.3072	+	4.35752i	−1.70222	+	0.244743i	−0.923767	−	0.382954i	$-0.874907\pi$
$317$	−30.3072	+	4.35752i	−1.70222	+	0.244743i	−0.778457	+	0.627697i	$0.783998\pi$
$318$	−6.78632	−	1.49299i	−0.380558	−	0.0837226i
$319$	14.8027	+	17.0833i	0.828794	+	0.956480i
$320$	26.0129	−	7.24120i	1.45416	−	0.404795i
$321$	0.768277			0.0428811
$322$	−1.13803	+	0.0594577i	−0.0634198	+	0.00331345i
$323$		−	0.363157i		−	0.0202066i
$324$	−0.554438	−	1.92161i	−0.0308021	−	0.106756i
$325$	−1.36933	+	1.18653i	−0.0759567	+	0.0658168i
$326$	−3.97430	+	18.0650i	−0.220116	+	1.00053i
$327$	−1.63997	−	11.4063i	−0.0906907	−	0.630768i
$328$	−6.61371	+	1.38996i	−0.365181	+	0.0767475i
$329$	−0.417365	+	0.913901i	−0.0230101	+	0.0503850i
$330$	−0.953939	−	13.7933i	−0.0525126	−	0.759299i
$331$	−33.9809	−	4.88572i	−1.86776	−	0.268543i	−0.886714	−	0.462319i	$-0.847018\pi$
$331$	−33.9809	−	4.88572i	−1.86776	−	0.268543i	−0.981046	+	0.193775i	$0.937927\pi$
$332$	8.09596	+	17.9505i	0.444323	+	0.985162i
$333$	−2.45329	+	8.35513i	−0.134439	+	0.457858i
$334$	14.0911	+	25.9508i	0.771032	+	1.41996i
$335$	15.5088	+	33.9595i	0.847334	+	1.85540i
$336$	0.664318	+	0.101898i	0.0362415	+	0.00555901i
$337$	−7.12437	+	8.22196i	−0.388089	+	0.447879i	−0.915854	−	0.401512i	$-0.868485\pi$
$337$	−7.12437	+	8.22196i	−0.388089	+	0.447879i	0.527765	+	0.849391i	$0.323030\pi$
$338$	17.1341	−	6.34486i	0.931973	−	0.345115i
$339$	1.69869	−	2.64321i	0.0922602	−	0.143560i
$340$	0.368491	+	2.65133i	0.0199842	+	0.143789i
$341$	16.8578	+	26.2312i	0.912900	+	1.42050i
$342$	−1.29165	−	0.0954324i	−0.0698443	−	0.00516039i
$343$	−2.25247	+	0.661385i	−0.121622	+	0.0357114i
$344$	−20.0847	−	20.3700i	−1.08290	−	1.09828i
$345$	−15.6060	+	4.29808i	−0.840201	+	0.231401i
$346$	−21.1418	+	21.0427i	−1.13659	+	1.13126i
$347$	3.21846	+	10.9611i	0.172776	+	0.588420i	0.999661	+	0.0260490i	$0.00829259\pi$
$347$	3.21846	+	10.9611i	0.172776	+	0.588420i	−0.826885	+	0.562371i	$0.809889\pi$
$348$	−11.8434	+	10.1653i	−0.634872	+	0.544915i
$349$	19.5572	+	30.4316i	1.04687	+	1.62896i	0.733975	+	0.679176i	$0.237663\pi$
$349$	19.5572	+	30.4316i	1.04687	+	1.62896i	0.312896	+	0.949787i	$0.398701\pi$
$350$	0.913110	−	1.21381i	0.0488078	−	0.0648811i
$351$	−0.238453	−	0.153244i	−0.0127277	−	0.00817958i
$352$	5.54535	+	15.4187i	0.295568	+	0.821818i
$353$	14.4031	−	16.6221i	0.766599	−	0.884703i	−0.229467	−	0.973316i	$-0.573698\pi$
$353$	14.4031	−	16.6221i	0.766599	−	0.884703i	0.996066	+	0.0886139i	$0.0282437\pi$
$354$	6.52585	−	4.86130i	0.346845	−	0.258375i
$355$	14.2539	−	6.50954i	0.756519	−	0.345491i
$356$	1.16808	−	3.91004i	0.0619083	−	0.207232i
$357$	−0.0187710	+	0.0639281i	−0.000993465	+	0.00338343i
$358$	−11.0275	−	4.14261i	−0.582824	−	0.218944i
$359$	−3.79068	+	26.3647i	−0.200064	+	1.39148i	0.604023	+	0.796967i	$0.293563\pi$
$359$	−3.79068	+	26.3647i	−0.200064	+	1.39148i	−0.804087	+	0.594511i	$0.797346\pi$
$360$	9.52686	−	0.613887i	0.502110	−	0.0323547i
$361$	7.54446	−	16.5201i	0.397077	−	0.869478i
$362$	−35.7117	+	7.68074i	−1.87697	+	0.403691i
$363$	−2.58324	+	0.371414i	−0.135585	+	0.0194942i
$364$	0.0803719	−	0.0511196i	0.00421263	−	0.00267940i
$365$	33.4952	−	29.0238i	1.75322	−	1.51917i
$366$	−7.33109	−	4.02547i	−0.383202	−	0.210415i
$367$	35.7411			1.86567			0.932835	−	0.360303i	$-0.117327\pi$
$367$	35.7411			1.86567			0.932835	+	0.360303i	$0.117327\pi$
$368$	16.4047	−	9.94410i	0.855155	−	0.518372i
$369$	−2.38938			−0.124386
$370$	−36.4341	−	20.0058i	−1.89412	−	1.04005i
$371$	0.623916	−	0.540627i	0.0323921	−	0.0280679i
$372$	−18.1664	+	11.5545i	−0.941882	+	0.599073i
$373$	−13.2070	+	1.89887i	−0.683831	+	0.0983200i	−0.475470	−	0.879732i	$-0.657722\pi$
$373$	−13.2070	+	1.89887i	−0.683831	+	0.0983200i	−0.208361	+	0.978052i	$0.566813\pi$
$374$	−1.58805	+	0.341553i	−0.0821164	+	0.0176613i
$375$	1.95211	−	4.27452i	0.100806	−	0.220735i
$376$	−1.08755	−	16.8777i	−0.0560863	−	0.870400i
$377$	−0.314799	+	2.18947i	−0.0162130	+	0.112764i
$378$	0.222441	+	0.0835624i	0.0114411	+	0.00429798i
$379$	4.28624	−	14.5976i	0.220169	−	0.749827i	−0.773129	−	0.634249i	$-0.781310\pi$
$379$	4.28624	−	14.5976i	0.220169	−	0.749827i	0.993298	−	0.115579i	$-0.0368723\pi$
$380$	1.76960	−	5.92356i	0.0907787	−	0.303872i
$381$	2.54778	−	1.16353i	0.130527	−	0.0596095i
$382$	−1.93815	+	1.44378i	−0.0991642	+	0.0738704i
$383$	−18.8480	+	21.7517i	−0.963087	+	1.11146i	0.0306295	+	0.999531i	$0.490249\pi$
$383$	−18.8480	+	21.7517i	−0.963087	+	1.11146i	−0.993716	+	0.111930i	$0.964297\pi$
$384$	−10.6640	+	3.77880i	−0.544194	+	0.192836i
$385$	1.38192	+	0.888108i	0.0704293	+	0.0452622i
$386$	−5.77520	+	7.67708i	−0.293950	+	0.390753i
$387$	−5.46800	−	8.50838i	−0.277954	−	0.432505i
$388$	10.0532	−	8.62878i	0.510376	−	0.438060i
$389$	1.85932	+	6.33226i	0.0942712	+	0.321058i	0.993105	−	0.117232i	$-0.0374022\pi$
$389$	1.85932	+	6.33226i	0.0942712	+	0.321058i	−0.898833	+	0.438291i	$0.855584\pi$
$390$	0.958957	−	0.954460i	0.0485587	−	0.0483309i
$391$	0.760745	+	1.74294i	0.0384725	+	0.0881440i
$392$	14.0415	−	13.8449i	0.709203	−	0.699272i
$393$	−14.4551	+	4.24441i	−0.729166	+	0.214102i
$394$	−5.23221	−	0.386578i	−0.263595	−	0.0194755i
$395$	4.52023	+	7.03361i	0.227437	+	0.353899i
$396$	0.797489	+	5.73801i	0.0400753	+	0.288346i
$397$	−5.67757	+	8.83447i	−0.284949	+	0.443389i	−0.953991	−	0.299835i	$-0.903068\pi$
$397$	−5.67757	+	8.83447i	−0.284949	+	0.443389i	0.669042	+	0.743225i	$0.266705\pi$
$398$	28.5040	−	10.5552i	1.42878	−	0.529084i
$399$	0.100769	−	0.116293i	0.00504475	−	0.00582195i
$400$	−3.87663	+	25.2734i	−0.193832	+	1.26367i
$401$	−14.1563	−	30.9980i	−0.706933	−	1.54797i	−0.831357	−	0.555739i	$-0.812435\pi$
$401$	−14.1563	−	30.9980i	−0.706933	−	1.54797i	0.124423	−	0.992229i	$-0.460292\pi$
$402$	−7.46435	−	13.7466i	−0.372288	−	0.685620i
$403$	−0.859644	+	2.92768i	−0.0428219	+	0.145838i
$404$	−1.22581	−	2.71789i	−0.0609863	−	0.135220i
$405$	3.34089	+	0.480347i	0.166010	+	0.0238686i
$406$	−0.127939	−	1.84992i	−0.00634950	−	0.0918097i
$407$	10.4780	−	22.9437i	0.519377	−	1.13728i
$408$	−0.230674	−	1.09760i	−0.0114201	−	0.0543392i
$409$	−5.25538	−	36.5519i	−0.259862	−	1.80738i	−0.533779	−	0.845624i	$-0.679228\pi$
$409$	−5.25538	−	36.5519i	−0.259862	−	1.80738i	0.273917	−	0.961753i	$-0.411681\pi$
$410$	2.45055	−	11.1389i	0.121024	−	0.550110i
$411$	3.95581	−	3.42773i	0.195126	−	0.169077i
$412$	4.61729	+	16.0030i	0.227478	+	0.788409i
$413$			0.966812i			0.0475737i
$414$	6.39904	−	2.24773i	0.314496	−	0.110470i
$415$	−33.2322			−1.63130
$416$	−0.784929	+	1.39817i	−0.0384843	+	0.0685510i
$417$	−4.77532	−	5.51101i	−0.233848	−	0.269875i
$418$	3.66394	+	0.806066i	0.179209	+	0.0394260i
$419$	32.1776	−	4.62644i	1.57198	−	0.226016i	0.699487	−	0.714645i	$-0.253412\pi$
$419$	32.1776	−	4.62644i	1.57198	−	0.226016i	0.872492	+	0.488629i	$0.162503\pi$
$420$	−0.617689	+	0.951281i	−0.0301401	+	0.0464178i
$421$	34.9074	+	15.9417i	1.70128	+	0.776950i	0.997804	+	0.0662334i	$0.0210982\pi$
$421$	34.9074	+	15.9417i	1.70128	+	0.776950i	0.703479	+	0.710716i	$0.251629\pi$
$422$	1.96693	+	28.4405i	0.0957485	+	1.38446i
$423$	0.850977	−	5.91867i	0.0413759	−	0.287776i
$424$	−4.94827	+	12.9864i	−0.240309	+	0.630676i
$425$	−2.43209	−	0.714125i	−0.117974	−	0.0346402i
$426$	−5.76992	+	3.13303i	−0.279554	+	0.151796i
$427$	0.903875	−	0.412786i	0.0437416	−	0.0199761i
$428$	0.225822	−	1.51987i	0.0109155	−	0.0734657i
$429$	0.620497	+	0.537664i	0.0299579	+	0.0259587i
$430$	45.2726	−	16.7647i	2.18324	−	0.808465i
$431$	−23.9728	−	15.4064i	−1.15473	−	0.742100i	−0.184155	−	0.982897i	$-0.558955\pi$
$431$	−23.9728	−	15.4064i	−1.15473	−	0.742100i	−0.970575	+	0.240797i	$0.922591\pi$
$432$	−3.96446	+	0.532010i	−0.190740	+	0.0255964i
$433$	−28.9923	+	18.6322i	−1.39328	+	0.895407i	−0.999715	−	0.0238887i	$-0.992395\pi$
$433$	−28.9923	+	18.6322i	−1.39328	+	0.895407i	−0.393567	+	0.919296i	$0.628759\pi$
$434$	0.188476	−	2.55096i	0.00904715	−	0.122450i
$435$	−7.42077	−	25.2728i	−0.355799	−	1.21174i
$436$	−23.0469	−	0.108342i	−1.10374	−	0.00518863i
$437$	0.0740066	−	4.39150i	0.00354022	−	0.210074i
$438$	−13.1619	+	13.1002i	−0.628900	+	0.625951i
$439$	25.5541	−	7.50337i	1.21963	−	0.358116i	0.392304	−	0.919835i	$-0.371678\pi$
$439$	25.5541	−	7.50337i	1.21963	−	0.358116i	0.827328	+	0.561719i	$0.189860\pi$
$440$	−27.5675	−	2.16715i	−1.31423	−	0.103315i
$441$	5.86502	−	3.76922i	0.279287	−	0.179487i
$442$	−0.127026	−	0.0955571i	−0.00604201	−	0.00454519i
$443$	−6.75090	+	10.5046i	−0.320745	+	0.499089i	−0.963762	−	0.266763i	$-0.914046\pi$
$443$	−6.75090	+	10.5046i	−0.320745	+	0.499089i	0.643017	+	0.765852i	$0.277682\pi$
$444$	15.8077	+	7.30914i	0.750200	+	0.346876i
$445$	5.20471	+	4.50991i	0.246727	+	0.213790i
$446$	−13.5843	+	10.1193i	−0.643235	+	0.479165i
$447$	−5.34538	−	11.7047i	−0.252828	−	0.553615i
$448$	0.396848	−	1.28426i	0.0187493	−	0.0606755i
$449$	−0.803755	−	0.236004i	−0.0379315	−	0.0111377i	0.262712	−	0.964874i	$-0.415383\pi$
$449$	−0.803755	−	0.236004i	−0.0379315	−	0.0111377i	−0.300643	+	0.953737i	$0.597201\pi$
$450$	−3.17906	+	8.46258i	−0.149862	+	0.398930i
$451$	6.85059	+	0.984967i	0.322582	+	0.0463803i
$452$	−4.72972	−	4.13742i	−0.222467	−	0.194608i
$453$	2.11289	+	0.964925i	0.0992723	+	0.0453362i
$454$	−9.99729	+	2.15018i	−0.469196	+	0.100913i
$455$	0.0228769	+	0.159112i	0.00107248	+	0.00745930i
$456$	−0.568449	+	2.52719i	−0.0266201	+	0.118347i
$457$	5.95663	+	6.87431i	0.278639	+	0.321567i	0.877768	−	0.479086i	$-0.159032\pi$
$457$	5.95663	+	6.87431i	0.278639	+	0.321567i	−0.599129	+	0.800653i	$0.704486\pi$
$458$	0.967101	−	1.76126i	0.0451897	−	0.0822982i
$459$		−	0.396537i		−	0.0185088i
$460$	3.91570	+	32.1365i	0.182570	+	1.49837i
$461$		−	17.5388i		−	0.816864i	−0.912789	−	0.408432i	$-0.866076\pi$
$461$		−	17.5388i		−	0.816864i	0.912789	−	0.408432i	$-0.133924\pi$
$462$	−0.603315	−	0.331278i	−0.0280687	−	0.0154124i
$463$	17.8650	+	20.6173i	0.830256	+	0.958167i	0.999625	−	0.0273859i	$-0.00871828\pi$
$463$	17.8650	+	20.6173i	0.830256	+	0.958167i	−0.169369	+	0.985553i	$0.554173\pi$
$464$	16.6286	+	26.4175i	0.771964	+	1.22640i
$465$	−5.17083	−	35.9639i	−0.239792	−	1.66779i
$466$	−3.75647	−	17.4657i	−0.174015	−	0.809085i
$467$	−3.47568	−	1.58729i	−0.160836	−	0.0734511i	0.333371	−	0.942796i	$-0.391814\pi$
$467$	−3.47568	−	1.58729i	−0.160836	−	0.0734511i	−0.494206	+	0.869345i	$0.664541\pi$
$468$	−0.373250	+	0.426684i	−0.0172535	+	0.0197235i
$469$	1.83956	+	0.264488i	0.0849428	+	0.0122129i
$470$	26.7191	+	10.0373i	1.23246	+	0.462986i
$471$	14.0970	+	4.13926i	0.649556	+	0.190727i
$472$	−7.69886	−	14.3389i	−0.354369	−	0.660000i
$473$	12.1699	+	26.6484i	0.559574	+	1.22530i
$474$	−2.09278	−	2.80936i	−0.0961244	−	0.129038i
$475$	4.42428	+	3.83366i	0.203000	+	0.175900i
$476$	0.120950	+	0.0559248i	0.00554375	+	0.00256331i
$477$	−2.65639	+	4.13342i	−0.121628	+	0.189256i
$478$	−13.0090	+	17.2931i	−0.595017	+	0.790968i
$479$	−2.15913	+	1.38759i	−0.0986532	+	0.0634006i	−0.589037	−	0.808106i	$-0.700493\pi$
$479$	−2.15913	+	1.38759i	−0.0986532	+	0.0634006i	0.490384	+	0.871506i	$0.336857\pi$
$480$	1.58581	−	19.0273i	0.0723822	−	0.868472i
$481$	2.36826	−	0.695383i	0.107983	−	0.0317068i
$482$	19.0949	+	19.1848i	0.869747	+	0.873845i
$483$	−0.240017	+	0.769229i	−0.0109211	+	0.0350011i
$484$	−0.0245367	+	5.21955i	−0.00111531	+	0.237252i
$485$	6.29912	+	21.4528i	0.286028	+	0.974122i
$486$	−1.41037	−	0.104204i	−0.0639756	−	0.00472680i
$487$	−8.54835	+	5.49369i	−0.387363	+	0.248943i	−0.719799	−	0.694183i	$-0.755766\pi$
$487$	−8.54835	+	5.49369i	−0.387363	+	0.248943i	0.332436	+	0.943126i	$0.392129\pi$
$488$	−10.1184	+	13.3197i	−0.458037	+	0.602957i
$489$	11.0031	+	7.07125i	0.497576	+	0.319773i
$490$	11.5563	+	31.2075i	0.522060	+	1.40981i
$491$	−26.8415	−	23.2583i	−1.21134	−	1.04963i	−0.997347	−	0.0727973i	$-0.976807\pi$
$491$	−26.8415	−	23.2583i	−1.21134	−	1.04963i	−0.213994	−	0.976835i	$-0.568647\pi$
$492$	−0.702317	+	4.72687i	−0.0316629	+	0.213104i
$493$	−2.81486	+	1.28550i	−0.126775	+	0.0578961i
$494$	0.175182	+	0.322622i	0.00788179	+	0.0145154i
$495$	−9.38064	−	2.75441i	−0.421629	−	0.123801i
$496$	17.5184	+	39.3344i	0.786599	+	1.76617i
$497$	0.111014	−	0.772123i	0.00497968	−	0.0346344i
$498$	13.8910	−	0.960692i	0.622470	−	0.0430496i
$499$	20.1391	+	9.19721i	0.901550	+	0.411724i	0.811594	−	0.584222i	$-0.198600\pi$
$499$	20.1391	+	9.19721i	0.901550	+	0.411724i	0.0899556	+	0.995946i	$0.471327\pi$
$500$	−7.88242	−	5.11824i	−0.352513	−	0.228895i
$501$	20.6681	−	2.97163i	0.923383	−	0.132762i
$502$	−1.19402	+	5.42736i	−0.0532916	+	0.242235i
$503$	5.01459	+	5.78714i	0.223589	+	0.258036i	0.856450	−	0.516230i	$-0.172665\pi$
$503$	5.01459	+	5.78714i	0.223589	+	0.258036i	−0.632861	+	0.774266i	$0.718119\pi$
$504$	0.230693	−	0.415490i	0.0102759	−	0.0185074i
$505$	5.03169			0.223907
$506$	−19.2733	+	3.80663i	−0.856801	+	0.169225i
$507$		−	12.9197i		−	0.573782i
$508$	−1.55292	−	5.38223i	−0.0688997	−	0.238798i
$509$	10.3112	−	8.93467i	0.457034	−	0.396022i	−0.395690	−	0.918384i	$-0.629494\pi$
$509$	10.3112	−	8.93467i	0.457034	−	0.396022i	0.852724	+	0.522362i	$0.174949\pi$
$510$	1.84859	+	0.406689i	0.0818568	+	0.0180085i
$511$	−0.313990	−	2.18385i	−0.0138901	−	0.0966079i
$512$	4.34104	+	22.2071i	0.191849	+	0.981425i
$513$	−0.380446	+	0.833061i	−0.0167971	+	0.0367805i
$514$	3.28012	−	0.226851i	0.144680	−	0.0100060i
$515$	−27.8225	−	4.00027i	−1.22600	−	0.176273i
$516$	−18.4392	+	8.31637i	−0.811741	+	0.366108i
$517$	−4.87967	+	16.6186i	−0.214608	+	0.730887i
$518$	−1.81838	+	0.987367i	−0.0798949	+	0.0433824i
$519$	8.76207	+	19.1863i	0.384612	+	0.842183i
$520$	−1.60632	−	2.17764i	−0.0704419	−	0.0954956i
$521$	27.1541	−	31.3375i	1.18964	−	1.37292i	0.278707	−	0.960376i	$-0.410094\pi$
$521$	27.1541	−	31.3375i	1.18964	−	1.37292i	0.910937	−	0.412546i	$-0.135360\pi$
$522$	3.83246	+	10.3495i	0.167742	+	0.452984i
$523$	−12.0832	+	18.8018i	−0.528360	+	0.822144i	−0.998160	−	0.0606284i	$-0.980690\pi$
$523$	−12.0832	+	18.8018i	−0.528360	+	0.822144i	0.469800	+	0.882773i	$0.344326\pi$
$524$	4.14781	+	29.8439i	0.181198	+	1.30374i
$525$	−0.580669	−	0.903538i	−0.0253425	−	0.0394336i
$526$	−0.230569	+	3.12068i	−0.0100533	+	0.136068i
$527$	−4.09573	+	1.20261i	−0.178413	+	0.0523867i
$528$	11.5858	+	0.108931i	0.504208	+	0.00474060i
$529$	8.84417	+	21.2316i	0.384529	+	0.923113i
$530$	−16.5449	−	16.6229i	−0.718664	−	0.722051i
$531$	−1.62111	−	5.52100i	−0.0703503	−	0.239591i
$532$	−0.200442	−	0.233532i	−0.00869026	−	0.0101249i
$533$	0.366159	+	0.569755i	0.0158601	+	0.0246788i
$534$	−2.30593	−	1.73467i	−0.0997875	−	0.0750666i
$535$	2.18147	+	1.40195i	0.0943133	+	0.0606114i
$536$	−29.3888	+	10.7260i	−1.26940	+	0.463293i
$537$	−5.45480	+	6.29517i	−0.235392	+	0.271657i
$538$	5.67454	+	7.61756i	0.244647	+	0.328416i
$539$	−18.3694	+	8.38902i	−0.791226	+	0.361341i
$540$	1.93226	−	6.46803i	0.0831511	−	0.278340i
$541$	−3.37049	+	11.4788i	−0.144909	+	0.493513i	−0.999675	−	0.0254998i	$-0.991882\pi$
$541$	−3.37049	+	11.4788i	−0.144909	+	0.493513i	0.854766	+	0.519013i	$0.173700\pi$
$542$	0.810334	−	2.15709i	0.0348068	−	0.0926550i
$543$	−3.67591	+	25.5665i	−0.157749	+	1.09717i
$544$	−2.23916	+	0.133719i	−0.0960033	+	0.00573317i
$545$	16.1575	−	35.3799i	0.692110	−	1.51551i
$546$	−0.0141622	−	0.0658472i	−0.000606085	−	0.00281800i
$547$	6.35825	−	0.914178i	0.271859	−	0.0390874i	−0.00503699	−	0.999987i	$-0.501603\pi$
$547$	6.35825	−	0.914178i	0.271859	−	0.0390874i	0.276896	+	0.960900i	$0.410694\pi$
$548$	−5.61827	−	8.83323i	−0.240001	−	0.377337i
$549$	−4.46945	+	3.87280i	−0.190752	+	0.165287i
$550$	12.6032	−	22.9526i	0.537401	−	0.978701i
$551$	7.14690			0.304468
$552$	−2.56577	−	13.3198i	−0.109206	−	0.566928i
$553$	0.416210			0.0176991
$554$	−14.9431	+	27.2140i	−0.634873	+	1.15621i
$555$	−22.2123	+	19.2471i	−0.942860	+	0.816993i
$556$	−12.3060	+	7.82707i	−0.521889	+	0.331942i
$557$	−17.0760	+	2.45516i	−0.723535	+	0.104029i	−0.494236	−	0.869328i	$-0.664552\pi$
$557$	−17.0760	+	2.45516i	−0.723535	+	0.104029i	−0.229298	+	0.973356i	$0.573643\pi$
$558$	3.20106	+	14.8834i	0.135512	+	0.630063i
$559$	−1.19091	+	2.60772i	−0.0503700	+	0.110295i
$560$	1.70034	+	1.50158i	0.0718526	+	0.0634532i
$561$	−0.163463	+	1.13691i	−0.00690142	+	0.0480004i
$562$	3.13426	−	8.34332i	0.132211	−	0.351942i
$563$	10.1113	−	34.4361i	0.426142	−	1.45131i	−0.414666	−	0.909974i	$-0.636102\pi$
$563$	10.1113	−	34.4361i	0.426142	−	1.45131i	0.840808	−	0.541333i	$-0.182080\pi$
$564$	−11.4587	−	3.42316i	−0.482498	−	0.144141i
$565$	9.64663	−	4.40547i	0.405837	−	0.185339i
$566$	5.44126	+	7.30440i	0.228713	+	0.307027i
$567$	0.110031	−	0.126982i	0.00462087	−	0.00533276i
$568$	4.50206	+	12.3354i	0.188902	+	0.517584i
$569$	−28.1411	−	18.0852i	−1.17974	−	0.758171i	−0.204399	−	0.978888i	$-0.565524\pi$
$569$	−28.1411	−	18.0852i	−1.17974	−	0.758171i	−0.975338	+	0.220716i	$0.929161\pi$
$570$	−3.49340	−	2.62796i	−0.146322	−	0.110073i
$571$	3.91058	+	6.08497i	0.163653	+	0.254648i	0.913389	−	0.407089i	$-0.133456\pi$
$571$	3.91058	+	6.08497i	0.163653	+	0.254648i	−0.749736	+	0.661737i	$0.769820\pi$
$572$	1.24604	−	1.06948i	0.0520994	−	0.0447173i
$573$	0.481463	+	1.63971i	0.0201134	+	0.0685000i
$574$	−0.400524	−	0.402411i	−0.0167175	−	0.0167963i
$575$	−29.2647	−	9.13124i	−1.22042	−	0.380799i
$576$	−0.112818	+	7.99920i	−0.00470074	+	0.333300i
$577$	24.0885	−	7.07303i	1.00282	−	0.294454i	0.261206	−	0.965283i	$-0.415880\pi$
$577$	24.0885	−	7.07303i	1.00282	−	0.294454i	0.741612	+	0.670829i	$0.234061\pi$
$578$	−1.75508	+	23.7545i	−0.0730019	+	0.988057i
$579$	3.67259	+	5.71466i	0.152628	+	0.237493i
$580$	−52.1780	+	7.25187i	−2.16657	+	0.301118i
$581$	−0.894395	+	1.39171i	−0.0371057	+	0.0577377i
$582$	−3.25319	−	8.78514i	−0.134849	−	0.364156i
$583$	9.32004	−	10.7559i	0.385996	−	0.445464i
$584$	22.0471	+	29.8885i	0.912317	+	1.23680i
$585$	−0.397432	−	0.870255i	−0.0164318	−	0.0359806i
$586$	20.9723	−	11.3878i	0.866358	−	0.470427i
$587$	−10.6094	+	36.1325i	−0.437899	+	1.49135i	0.384870	+	0.922971i	$0.374246\pi$
$587$	−10.6094	+	36.1325i	−0.437899	+	1.49135i	−0.822769	+	0.568376i	$0.807572\pi$
$588$	−5.73267	−	12.7106i	−0.236411	−	0.524175i
$589$	9.75829	+	1.40303i	0.402083	+	0.0578108i
$590$	27.4006	−	1.89500i	1.12806	−	0.0780161i
$591$	−1.54111	+	3.37457i	−0.0633929	+	0.138811i
$592$	19.1059	−	29.1237i	0.785250	−	1.19698i
$593$	0.415679	+	2.89111i	0.0170699	+	0.118724i	0.996575	−	0.0826968i	$-0.0263533\pi$
$593$	0.415679	+	2.89111i	0.0170699	+	0.118724i	−0.979505	+	0.201421i	$0.935444\pi$
$594$	4.00072	+	0.880156i	0.164151	+	0.0361132i
$595$	−0.169954	+	0.147266i	−0.00696745	+	0.00603733i
$596$	−24.7265	+	7.13426i	−1.01284	+	0.292231i
$597$		−	21.4929i		−	0.879646i
$598$	−1.51660	−	1.18142i	−0.0620182	−	0.0483117i
$599$	12.4668			0.509378			0.254689	−	0.967023i	$-0.418027\pi$
$599$	12.4668			0.509378			0.254689	+	0.967023i	$0.418027\pi$
$600$	15.8070	+	8.77650i	0.645316	+	0.358299i
$601$	0.807132	+	0.931480i	0.0329236	+	0.0379959i	0.771973	−	0.635656i	$-0.219270\pi$
$601$	0.807132	+	0.931480i	0.0329236	+	0.0379959i	−0.739049	+	0.673652i	$0.764725\pi$
$602$	0.516368	−	2.34713i	0.0210456	−	0.0956619i
$603$	−10.9483	+	1.57413i	−0.445850	+	0.0641035i
$604$	2.52994	−	3.89628i	0.102942	−	0.158537i
$605$	−8.01268	−	3.65927i	−0.325762	−	0.148770i
$606$	−2.10324	+	0.145458i	−0.0854382	+	0.00590885i
$607$	3.57270	−	24.8486i	0.145011	−	1.00858i	−0.779222	−	0.626748i	$-0.784386\pi$
$607$	3.57270	−	24.8486i	0.145011	−	1.00858i	0.924234	−	0.381828i	$-0.124705\pi$
$608$	4.83242	+	1.86738i	0.195980	+	0.0757322i
$609$	−1.25810	−	0.369411i	−0.0509807	−	0.0149693i
$610$	−13.4705	−	24.8078i	−0.545404	−	1.00444i
$611$	−1.54173	+	0.704086i	−0.0623718	+	0.0284843i
$612$	−0.784462	−	0.116555i	−0.0317100	−	0.00471146i
$613$	−27.1450	−	23.5213i	−1.09638	−	0.950017i	−0.0974011	−	0.995245i	$-0.531053\pi$
$613$	−27.1450	−	23.5213i	−1.09638	−	0.950017i	−0.998977	+	0.0452285i	$0.985598\pi$
$614$	4.93060	+	13.3150i	0.198983	+	0.537348i
$615$	−6.78449	−	4.36012i	−0.273577	−	0.175817i
$616$	−0.832695	+	1.09615i	−0.0335502	+	0.0441653i
$617$	27.6498	−	17.7694i	1.11314	−	0.715370i	0.151163	−	0.988509i	$-0.451698\pi$
$617$	27.6498	−	17.7694i	1.11314	−	0.715370i	0.961975	+	0.273139i	$0.0880619\pi$
$618$	11.7454	+	0.867799i	0.472468	+	0.0349080i
$619$	6.76159	+	23.0279i	0.271771	+	0.925568i	0.976396	+	0.215988i	$0.0692972\pi$
$619$	6.76159	+	23.0279i	0.271771	+	0.925568i	−0.704625	+	0.709580i	$0.748885\pi$
$620$	−72.6667	−	0.341602i	−2.91837	−	0.0137190i
$621$	0.0808090	−	4.79515i	0.00324275	−	0.192423i
$622$	−22.0128	−	22.1166i	−0.882634	−	0.886793i
$623$	0.328944	−	0.0965866i	0.0131789	−	0.00386966i
$624$	0.734391	+	0.863811i	0.0293992	+	0.0345801i
$625$	−13.5445	+	8.70453i	−0.541781	+	0.348181i
$626$	−24.2402	+	32.2230i	−0.968834	+	1.28789i
$627$	1.43419	−	2.23164i	0.0572759	−	0.0891231i
$628$	12.3322	−	26.6712i	0.492108	−	1.06430i
$629$	2.60959	+	2.26123i	0.104051	+	0.0901610i
$630$	0.479123	+	0.643179i	0.0190887	+	0.0256249i
$631$	−2.59863	−	5.69020i	−0.103450	−	0.226523i	0.850828	−	0.525444i	$-0.176101\pi$
$631$	−2.59863	−	5.69020i	−0.103450	−	0.226523i	−0.954278	+	0.298921i	$0.903373\pi$
$632$	−6.17285	+	3.31434i	−0.245543	+	0.131837i
$633$	19.3419	+	5.67931i	0.768773	+	0.225732i
$634$	40.5358	+	15.2277i	1.60988	+	0.604769i
$635$	9.35745	+	1.34540i	0.371339	+	0.0533905i
$636$	7.39627	+	6.47003i	0.293281	+	0.256553i
$637$	−1.79757	−	0.820921i	−0.0712221	−	0.0325261i
$638$	−6.72173	−	31.2528i	−0.266116	−	1.23731i
$639$	0.660714	+	4.59537i	0.0261375	+	0.181790i
$640$	−37.1752	−	8.72993i	−1.46948	−	0.345081i
$641$	−26.4957	−	30.5776i	−1.04652	−	1.20774i	−0.977677	−	0.210115i	$-0.932616\pi$
$641$	−26.4957	−	30.5776i	−1.04652	−	1.20774i	−0.0688389	−	0.997628i	$-0.521929\pi$
$642$	−0.952379	−	0.522948i	−0.0375874	−	0.0206391i
$643$			13.1208i			0.517433i	0.965953	+	0.258716i	$0.0832995\pi$
$643$			13.1208i			0.517433i	−0.965953	+	0.258716i	$0.916701\pi$
$644$	1.45120	+	0.700923i	0.0571854	+	0.0276202i
$645$		−	34.1369i		−	1.34414i
$646$	−0.247192	+	0.450180i	−0.00972566	+	0.0177121i
$647$	8.16350	+	9.42118i	0.320940	+	0.370385i	0.893178	−	0.449703i	$-0.148470\pi$
$647$	8.16350	+	9.42118i	0.320940	+	0.370385i	−0.572238	+	0.820088i	$0.693925\pi$
$648$	−0.620699	+	2.75948i	−0.0243834	+	0.108403i
$649$	2.37199	+	16.4975i	0.0931086	+	0.647585i
$650$	2.50510	−	0.538788i	0.0982582	−	0.0211330i
$651$	−1.64527	−	0.751370i	−0.0644832	−	0.0294485i
$652$	17.2231	−	19.6887i	0.674508	−	0.771070i
$653$	32.5349	+	4.67781i	1.27319	+	0.183057i	0.745572	−	0.666425i	$-0.232177\pi$
$653$	32.5349	+	4.67781i	1.27319	+	0.183057i	0.527617	+	0.849482i	$0.323086\pi$
$654$	−5.73101	+	15.2558i	−0.224100	+	0.596550i
$655$	−48.7896	−	14.3259i	−1.90637	−	0.559760i
$656$	9.14465	+	2.77876i	0.357039	+	0.108492i
$657$	5.45485	+	11.9444i	0.212814	+	0.465997i
$658$	1.13945	−	0.848808i	0.0444203	−	0.0330900i
$659$	17.2600	+	14.9559i	0.672353	+	0.582597i	0.922681	−	0.385564i	$-0.125993\pi$
$659$	17.2600	+	14.9559i	0.672353	+	0.582597i	−0.250328	+	0.968161i	$0.580538\pi$
$660$	−8.20627	+	17.7480i	−0.319429	+	0.690838i
$661$	−3.98808	+	6.20557i	−0.155118	+	0.241369i	−0.910111	−	0.414364i	$-0.864004\pi$
$661$	−3.98808	+	6.20557i	−0.155118	+	0.241369i	0.754993	+	0.655733i	$0.227640\pi$
$662$	38.7981	+	29.1865i	1.50793	+	1.13436i
$663$	−0.0945555	+	0.0607671i	−0.00367223	+	0.00236000i
$664$	2.18250	−	27.7627i	0.0846972	−	1.07740i
$665$	0.498337	−	0.146325i	0.0193247	−	0.00567424i
$666$	8.72830	−	8.68737i	0.338215	−	0.336629i
$667$	−34.3008	+	14.9714i	−1.32813	+	0.579695i
$668$	0.196315	−	41.7608i	0.00759565	−	1.61578i
$669$	3.37453	+	11.4926i	0.130467	+	0.444329i
$670$	3.89027	−	52.6536i	0.150294	−	2.03418i
$671$	14.4109	−	9.26129i	0.556325	−	0.357528i
$672$	−0.754148	−	0.578501i	−0.0290919	−	0.0223162i
$673$	34.3529	+	22.0773i	1.32421	+	0.851016i	0.995623	−	0.0934592i	$-0.0297925\pi$
$673$	34.3529	+	22.0773i	1.32421	+	0.851016i	0.328583	+	0.944475i	$0.393429\pi$
$674$	14.4281	−	5.34280i	0.555749	−	0.205797i
$675$	4.83094	+	4.18603i	0.185943	+	0.161120i
$676$	−25.5587	−	3.79751i	−0.983028	−	0.146058i
$677$	0.549518	−	0.250956i	0.0211197	−	0.00964504i	−0.404827	−	0.914393i	$-0.632668\pi$
$677$	0.549518	−	0.250956i	0.0211197	−	0.00964504i	0.425947	+	0.904748i	$0.359941\pi$
$678$	−3.90492	+	2.12035i	−0.149967	+	0.0814314i
$679$	1.06794	+	0.313575i	0.0409837	+	0.0120339i
$680$	1.34791	−	3.53749i	0.0516898	−	0.135657i
$681$	−1.02905	+	7.15721i	−0.0394333	+	0.274265i
$682$	−3.04244	−	43.9917i	−0.116501	−	1.68453i
$683$	−37.7621	−	17.2454i	−1.44493	−	0.659876i	−0.470054	−	0.882638i	$-0.655765\pi$
$683$	−37.7621	−	17.2454i	−1.44493	−	0.659876i	−0.974873	+	0.222762i	$0.928493\pi$
$684$	1.53620	+	0.997494i	0.0587382	+	0.0381401i
$685$	17.4871	−	2.51427i	0.668149	−	0.0960654i
$686$	3.24242	+	0.713331i	0.123796	+	0.0272351i
$687$	−0.930423	−	1.07377i	−0.0354978	−	0.0409667i
$688$	11.0322	+	38.9224i	0.420600	+	1.48390i
$689$	1.39270			0.0530578
$690$	22.2713	+	5.29463i	0.847854	+	0.201563i
$691$		−	36.4939i		−	1.38829i	−0.719833	−	0.694147i	$-0.755782\pi$
$691$		−	36.4939i		−	1.38829i	0.719833	−	0.694147i	$-0.244218\pi$
$692$	40.5313	−	11.6944i	1.54077	−	0.444554i
$693$	−0.367815	+	0.318714i	−0.0139722	+	0.0121069i
$694$	3.47123	−	15.7784i	0.131766	−	0.598939i
$695$	−3.50274	−	24.3621i	−0.132867	−	0.924108i
$696$	21.6006	−	4.53965i	0.818770	−	0.172075i
$697$	−0.393596	+	0.861856i	−0.0149085	+	0.0326451i
$698$	−3.52961	−	51.0359i	−0.133598	−	1.93174i
$699$	−12.5040	−	1.79780i	−0.472944	−	0.0679991i
$700$	−1.95813	+	0.883148i	−0.0740104	+	0.0333798i
$701$	10.1976	−	34.7300i	0.385160	−	1.31173i	−0.507753	−	0.861503i	$-0.669524\pi$
$701$	10.1976	−	34.7300i	0.385160	−	1.31173i	0.892912	−	0.450230i	$-0.148658\pi$
$702$	0.191284	+	0.352276i	0.00721953	+	0.0132958i
$703$	−3.31287	−	7.25417i	−0.124947	−	0.273596i
$704$	3.62095	−	22.8880i	0.136470	−	0.862625i
$705$	13.2166	−	15.2528i	0.497768	−	0.574454i
$706$	−29.1687	+	10.8013i	−1.09778	+	0.406514i
$707$	0.135420	−	0.210718i	0.00509301	−	0.00792488i
$708$	−11.3986	+	1.58422i	−0.428386	+	0.0595385i
$709$	9.59016	+	14.9226i	0.360166	+	0.560429i	0.973296	−	0.229552i	$-0.0737263\pi$
$709$	9.59016	+	14.9226i	0.360166	+	0.560429i	−0.613130	+	0.789982i	$0.710090\pi$
$710$	−22.1005	−	1.63288i	−0.829415	−	0.0612807i
$711$	−2.37678	+	0.697885i	−0.0891361	+	0.0261727i
$712$	−4.10946	+	4.05191i	−0.154009	+	0.151852i
$713$	−49.7730	+	13.7080i	−1.86401	+	0.513370i
$714$	0.0667833	−	0.0664701i	0.00249930	−	0.00248758i
$715$	0.780735	+	2.65894i	0.0291978	+	0.0994387i
$716$	10.8503	+	12.6415i	0.405494	+	0.472435i
$717$	8.27273	+	12.8726i	0.308951	+	0.480737i
$718$	22.6449	−	30.1023i	0.845099	−	1.12341i
$719$	−34.6860	−	22.2913i	−1.29357	−	0.831326i	−0.301072	−	0.953601i	$-0.597345\pi$
$719$	−34.6860	−	22.2913i	−1.29357	−	0.831326i	−0.992496	+	0.122275i	$0.960981\pi$
$720$	−12.2276	−	5.72372i	−0.455697	−	0.213310i
$721$	−0.916324	+	1.05749i	−0.0341257	+	0.0393832i
$722$	−20.5972	+	15.3434i	−0.766547	+	0.571023i
$723$	17.4103	−	7.95100i	0.647495	−	0.295701i
$724$	49.4974	+	14.7868i	1.83956	+	0.549548i
$725$	14.0539	−	47.8633i	0.521950	−	1.77760i
$726$	3.45507	+	1.29793i	0.128230	+	0.0481708i
$727$	2.69581	−	18.7498i	0.0999822	−	0.695391i	−0.876753	−	0.480941i	$-0.840295\pi$
$727$	2.69581	−	18.7498i	0.0999822	−	0.695391i	0.976735	−	0.214450i	$-0.0687959\pi$
$728$	−0.134427	+	0.00866215i	−0.00498220	+	0.000321040i
$729$	−0.415415	+	0.909632i	−0.0153857	+	0.0336901i
$730$	−61.2774	+	13.1793i	−2.26798	+	0.487789i
$731$	−3.96972	+	0.570760i	−0.146826	+	0.0211103i
$732$	6.34779	+	9.98019i	0.234621	+	0.368878i
$733$	−31.9173	+	27.6565i	−1.17889	+	1.02152i	−0.179605	+	0.983739i	$0.557482\pi$
$733$	−31.9173	+	27.6565i	−1.17889	+	1.02152i	−0.999286	+	0.0377763i	$0.987973\pi$
$734$	−44.3057	−	24.3281i	−1.63535	−	0.897967i
$735$	23.5314			0.867969
$736$	−27.1045	+	1.16070i	−0.999084	+	0.0427839i
$737$	32.0388			1.18016
$738$	2.96195	+	1.62639i	0.109031	+	0.0598684i
$739$	−18.6641	+	16.1725i	−0.686571	+	0.594917i	−0.926690	−	0.375827i	$-0.877359\pi$
$739$	−18.6641	+	16.1725i	−0.686571	+	0.594917i	0.240119	+	0.970743i	$0.422813\pi$
$740$	31.5473	+	49.5996i	1.15970	+	1.82332i
$741$	0.256947	−	0.0369434i	0.00943919	−	0.00135715i
$742$	−1.14142	+	0.245492i	−0.0419027	+	0.00901228i
$743$	3.91566	−	8.57411i	0.143652	−	0.314553i	−0.824106	−	0.566435i	$-0.808322\pi$
$743$	3.91566	−	8.57411i	0.143652	−	0.314553i	0.967758	+	0.251882i	$0.0810494\pi$
$744$	30.3844	−	1.95789i	1.11395	−	0.0717799i
$745$	6.18089	−	42.9890i	0.226450	−	1.57500i
$746$	17.6643	+	6.63576i	0.646734	+	0.242953i
$747$	2.77390	−	9.44705i	0.101492	−	0.345649i
$748$	2.20109	+	0.657552i	0.0804797	+	0.0240425i
$749$	0.117422	−	0.0536249i	0.00429051	−	0.00195941i
$750$	−5.32945	+	3.97007i	−0.194604	+	0.144966i
$751$	−25.7451	+	29.7115i	−0.939454	+	1.08419i	0.0568583	+	0.998382i	$0.481892\pi$
$751$	−25.7451	+	29.7115i	−0.939454	+	1.08419i	−0.996312	+	0.0858050i	$0.972654\pi$
$752$	−10.1401	+	21.6623i	−0.369770	+	0.789944i
$753$	3.30570	+	2.12445i	0.120467	+	0.0774192i
$754$	1.88056	−	2.49986i	0.0684858	−	0.0910395i
$755$	4.23863	+	6.59543i	0.154259	+	0.240032i
$756$	−0.218866	−	0.254997i	−0.00796007	−	0.00927414i
$757$	8.96726	+	30.5397i	0.325921	+	1.10998i	0.945655	+	0.325172i	$0.105422\pi$
$757$	8.96726	+	30.5397i	0.325921	+	1.10998i	−0.619734	+	0.784812i	$0.712760\pi$
$758$	−15.2496	+	15.1780i	−0.553889	+	0.551291i
$759$	−2.20838	+	13.7149i	−0.0801590	+	0.497818i
$760$	−6.22568	+	6.13849i	−0.225829	+	0.222666i
$761$	26.5196	−	7.78684i	0.961333	−	0.282273i	0.236835	−	0.971550i	$-0.423890\pi$
$761$	26.5196	−	7.78684i	0.961333	−	0.282273i	0.724498	+	0.689277i	$0.242072\pi$
$762$	−3.95029	−	0.291864i	−0.143104	−	0.0105731i
$763$	−1.04679	−	1.62884i	−0.0378965	−	0.0589681i
$764$	3.38533	−	0.470505i	0.122477	−	0.0170223i
$765$	0.723598	−	1.12594i	0.0261617	−	0.0407085i
$766$	38.1704	−	14.1347i	1.37915	−	0.510708i
$767$	−1.06807	+	1.23262i	−0.0385659	+	0.0445074i
$768$	15.7915	+	2.57441i	0.569828	+	0.0928961i
$769$	−7.29732	−	15.9789i	−0.263148	−	0.576214i	0.731226	−	0.682135i	$-0.238948\pi$
$769$	−7.29732	−	15.9789i	−0.263148	−	0.576214i	−0.994375	+	0.105921i	$0.966221\pi$
$770$	−1.10856	−	2.04157i	−0.0399496	−	0.0735729i
$771$	0.655009	−	2.23076i	0.0235896	−	0.0803387i
$772$	12.3847	−	5.58570i	0.445735	−	0.201034i
$773$	−14.4974	−	2.08441i	−0.521435	−	0.0749710i	−0.123428	−	0.992354i	$-0.539389\pi$
$773$	−14.4974	−	2.08441i	−0.521435	−	0.0749710i	−0.398007	+	0.917382i	$0.630298\pi$
$774$	0.986846	+	14.2692i	0.0354715	+	0.512895i
$775$	28.5852	−	62.5929i	1.02681	−	2.24840i
$776$	−18.3357	+	3.85348i	−0.658213	+	0.138332i
$777$	0.208222	+	1.44822i	0.00746994	+	0.0519545i
$778$	2.00535	−	9.11525i	0.0718953	−	0.326797i
$779$	1.65377	−	1.43300i	0.0592523	−	0.0513424i
$780$	−1.83843	+	0.530437i	−0.0658263	+	0.0189927i
$781$		−	13.4478i		−	0.481198i
$782$	0.243333	−	2.67841i	0.00870157	−	0.0957799i
$783$	7.80382			0.278886
$784$	−26.8301	+	7.60479i	−0.958219	+	0.271599i
$785$	32.4742	+	37.4773i	1.15906	+	1.33762i
$786$	20.8081	+	4.57777i	0.742200	+	0.163284i
$787$	25.6162	−	3.68305i	0.913119	−	0.131287i	0.330288	−	0.943880i	$-0.392854\pi$
$787$	25.6162	−	3.68305i	0.913119	−	0.131287i	0.582831	+	0.812594i	$0.301945\pi$
$788$	6.22287	+	4.04065i	0.221680	+	0.143942i
$789$	2.01271	+	0.919176i	0.0716545	+	0.0327235i
$790$	−0.815795	−	11.7959i	−0.0290247	−	0.419678i
$791$	0.0751314	−	0.522550i	0.00267136	−	0.0185797i
$792$	2.91714	−	7.65584i	0.103656	−	0.272038i
$793$	1.60840	+	0.472269i	0.0571160	+	0.0167708i
$794$	13.0515	−	7.08688i	0.463180	−	0.251504i
$795$	−15.0853	+	6.88921i	−0.535019	+	0.244335i
$796$	−42.5190	−	6.31746i	−1.50705	−	0.223917i
$797$	24.4053	+	21.1473i	0.864481	+	0.749077i	0.969422	−	0.245401i	$-0.0789197\pi$
$797$	24.4053	+	21.1473i	0.864481	+	0.749077i	−0.104940	+	0.994479i	$0.533465\pi$
$798$	−0.204074	+	0.0755697i	−0.00722414	+	0.00267514i
$799$	−1.99470	−	1.28192i	−0.0705675	−	0.0453510i
$800$	22.0086	−	28.6909i	0.778121	−	1.01438i
$801$	−1.71649	+	1.10312i	−0.0606491	+	0.0389768i
$802$	−3.55102	+	48.0619i	−0.125391	+	1.69713i
$803$	−10.7158	−	36.4946i	−0.378151	−	1.28787i
$804$	−0.103992	+	22.1215i	−0.00366751	+	0.780167i
$805$	−2.08520	+	1.74619i	−0.0734935	+	0.0615452i
$806$	3.05844	−	3.04410i	0.107729	−	0.107224i
$807$	6.44461	−	1.89231i	0.226861	−	0.0666124i
$808$	−0.330452	+	4.20355i	−0.0116253	+	0.147880i
$809$	−17.8283	+	11.4575i	−0.626808	+	0.402825i	−0.815127	−	0.579283i	$-0.803333\pi$
$809$	−17.8283	+	11.4575i	−0.626808	+	0.402825i	0.188318	+	0.982108i	$0.439696\pi$
$810$	−3.81450	−	2.86951i	−0.134028	−	0.100824i
$811$	−14.7938	+	23.0197i	−0.519482	+	0.808329i	−0.997547	−	0.0699948i	$-0.977702\pi$
$811$	−14.7938	+	23.0197i	−0.519482	+	0.808329i	0.478066	+	0.878324i	$0.341338\pi$
$812$	−1.10060	+	2.38029i	−0.0386233	+	0.0835319i
$813$	−1.23140	−	1.06701i	−0.0431869	−	0.0374217i
$814$	−28.6061	+	21.3095i	−1.00264	+	0.746898i
$815$	18.3389	+	40.1567i	0.642385	+	1.40663i
$816$	−0.461158	+	1.51763i	−0.0161438	+	0.0531277i
$817$	8.88736	+	2.60956i	0.310929	+	0.0912971i
$818$	−18.3653	+	48.8881i	−0.642128	+	1.70933i
$819$	−0.0471410	−	0.00677785i	−0.00164724	−	0.000236837i
$820$	−10.6197	+	12.1400i	−0.370857	+	0.423949i
$821$	−45.9063	−	20.9647i	−1.60214	−	0.731674i	−0.604264	−	0.796784i	$-0.706533\pi$
$821$	−45.9063	−	20.9647i	−1.60214	−	0.731674i	−0.997878	+	0.0651105i	$0.979260\pi$
$822$	−7.23690	+	1.55649i	−0.252416	+	0.0542887i
$823$	3.28299	+	22.8337i	0.114438	+	0.795933i	0.963513	+	0.267661i	$0.0862508\pi$
$823$	3.28299	+	22.8337i	0.114438	+	0.795933i	−0.849075	+	0.528272i	$0.822840\pi$
$824$	5.16910	−	22.9806i	0.180074	−	0.800568i
$825$	−12.1252	−	13.9932i	−0.422145	−	0.487181i
$826$	0.658085	−	1.19849i	0.0228977	−	0.0417007i
$827$		−	18.2859i		−	0.635863i	−0.948114	−	0.317931i	$-0.897012\pi$
$827$		−	18.2859i		−	0.635863i	0.948114	−	0.317931i	$-0.102988\pi$
$828$	−9.46241	−	1.56931i	−0.328842	−	0.0545374i
$829$			18.4114i			0.639455i	0.947510	+	0.319727i	$0.103591\pi$
$829$			18.4114i			0.639455i	−0.947510	+	0.319727i	$0.896409\pi$
$830$	41.1956	+	22.6204i	1.42992	+	0.785164i
$831$	14.3764	+	16.5912i	0.498712	+	0.575544i
$832$	1.92472	−	1.19893i	0.0667278	−	0.0415655i
$833$	−0.393439	−	2.73643i	−0.0136318	−	0.0948115i
$834$	2.16841	+	10.0821i	0.0750859	+	0.349113i
$835$	64.1083	+	29.2773i	2.21856	+	1.01318i
$836$	−3.99326	−	3.49318i	−0.138110	−	0.120814i
$837$	10.6552	+	1.53199i	0.368298	+	0.0529533i
$838$	−43.0374	−	16.1675i	−1.48670	−	0.558495i
$839$	−16.0430	−	4.71066i	−0.553867	−	0.162630i	−0.00719106	−	0.999974i	$-0.502289\pi$
$839$	−16.0430	−	4.71066i	−0.553867	−	0.162630i	−0.546676	+	0.837344i	$0.684107\pi$
$840$	1.41322	−	0.758789i	0.0487607	−	0.0261807i
$841$	−13.2515	−	29.0168i	−0.456950	−	1.00058i
$842$	−32.4211	−	43.5224i	−1.11731	−	1.49988i
$843$	−4.76286	−	4.12704i	−0.164042	−	0.142143i
$844$	16.9205	−	36.5945i	0.582428	−	1.25963i
$845$	23.5757	−	36.6845i	0.811029	−	1.26199i
$846$	−5.08359	+	6.75772i	−0.174778	+	0.232335i
$847$	−0.368893	+	0.237073i	−0.0126753	+	0.00814593i
$848$	14.9736	−	12.7302i	0.514194	−	0.437156i
$849$	6.17967	−	1.81451i	0.212086	−	0.0622740i
$850$	2.52880	+	2.54071i	0.0867371	+	0.0871458i
$851$	31.0959	+	27.8758i	1.06595	+	0.955571i
$852$	9.28515	+	0.0436489i	0.318104	+	0.00149539i
$853$	−0.785366	−	2.67471i	−0.0268904	−	0.0915804i	0.944955	−	0.327202i	$-0.106106\pi$
$853$	−0.785366	−	2.67471i	−0.0268904	−	0.0915804i	−0.971845	+	0.235621i	$0.924287\pi$
$854$	−1.40144	−	0.103545i	−0.0479564	−	0.00354322i
$855$	−2.60041	+	1.67119i	−0.0889323	+	0.0571533i
$856$	−1.31447	+	1.73036i	−0.0449278	+	0.0591426i
$857$	−1.63105	−	1.04821i	−0.0557157	−	0.0358063i	0.512486	−	0.858695i	$-0.328724\pi$
$857$	−1.63105	−	1.04821i	−0.0557157	−	0.0358063i	−0.568202	+	0.822889i	$0.692361\pi$
$858$	−0.403212	−	1.08886i	−0.0137654	−	0.0371731i
$859$	14.7475	+	12.7788i	0.503178	+	0.436006i	0.869098	−	0.494640i	$-0.164700\pi$
$859$	14.7475	+	12.7788i	0.503178	+	0.436006i	−0.365920	+	0.930646i	$0.619246\pi$
$860$	−67.5325	−	10.0340i	−2.30284	−	0.342155i
$861$	−0.365188	+	0.166776i	−0.0124456	+	0.00568371i
$862$	19.2306	+	35.4159i	0.654998	+	1.20627i
$863$	33.7125	+	9.89889i	1.14759	+	0.336962i	0.799598	−	0.600536i	$-0.205046\pi$
$863$	33.7125	+	9.89889i	1.14759	+	0.336962i	0.347990	+	0.937498i	$0.386864\pi$
$864$	5.27659	+	2.03902i	0.179513	+	0.0693688i
$865$	−10.1316	+	70.4671i	−0.344486	+	2.39595i
$866$	48.6222	−	3.36268i	1.65225	−	0.114268i
$867$	15.3207	+	6.99673i	0.520319	+	0.237622i
$868$	−1.97002	+	3.03396i	−0.0668669	+	0.102979i
$869$	7.10215	−	1.02113i	0.240924	−	0.0346396i
$870$	−8.00360	+	36.3800i	−0.271347	+	1.23340i
$871$	2.05312	+	2.36943i	0.0695675	+	0.0802851i
$872$	28.4958	+	15.8217i	0.964990	+	0.535792i
$873$	−6.62427			−0.224197
$874$	−3.08093	+	5.39346i	−0.104214	+	0.182437i
$875$		−	0.789564i		−	0.0266921i
$876$	25.2329	−	7.28037i	0.852539	−	0.245981i
$877$	4.68973	−	4.06367i	0.158361	−	0.137220i	−0.572076	−	0.820200i	$-0.693862\pi$
$877$	4.68973	−	4.06367i	0.158361	−	0.137220i	0.730437	+	0.682980i	$0.239316\pi$
$878$	−36.7850	−	8.09269i	−1.24143	−	0.273115i
$879$	−2.40154	−	16.7031i	−0.0810019	−	0.563381i
$880$	32.6984	+	21.4510i	1.10226	+	0.723114i
$881$	−13.0319	+	28.5358i	−0.439054	+	0.961395i	0.552717	+	0.833369i	$0.313591\pi$
$881$	−13.0319	+	28.5358i	−0.439054	+	0.961395i	−0.991771	+	0.128025i	$0.959136\pi$
$882$	−9.83607	+	0.680256i	−0.331198	+	0.0229054i
$883$	−24.2409	−	3.48531i	−0.815770	−	0.117290i	−0.278215	−	0.960519i	$-0.589743\pi$
$883$	−24.2409	−	3.48531i	−0.815770	−	0.117290i	−0.537555	+	0.843229i	$0.680652\pi$
$884$	0.0924216	+	0.204919i	0.00310848	+	0.00689217i
$885$	5.47164	−	18.6347i	0.183927	−	0.626399i
$886$	15.5188	−	8.42664i	0.521366	−	0.283098i
$887$	−1.88098	−	4.11876i	−0.0631570	−	0.138295i	0.875422	−	0.483360i	$-0.160584\pi$
$887$	−1.88098	−	4.11876i	−0.0631570	−	0.138295i	−0.938579	+	0.345066i	$0.887857\pi$
$888$	−14.6205	−	19.8205i	−0.490633	−	0.665134i
$889$	0.308185	−	0.355664i	0.0103362	−	0.0119286i
$890$	−3.38213	−	9.13334i	−0.113369	−	0.306150i
$891$	1.56601	−	2.43676i	0.0524634	−	0.0816346i
$892$	23.7275	−	3.29773i	0.794454	−	0.110416i
$893$	2.96065	+	4.60686i	0.0990744	+	0.154163i
$894$	−1.34085	+	18.1480i	−0.0448448	+	0.606960i
$895$	−26.9759	+	7.92084i	−0.901706	+	0.264765i
$896$	−1.36611	+	1.32188i	−0.0456385	+	0.0441609i
$897$	−1.15580	+	0.715561i	−0.0385911	+	0.0238919i
$898$	0.835715	+	0.839653i	0.0278882	+	0.0280196i
$899$	−23.6674	−	80.6036i	−0.789350	−	2.68828i
$900$	9.70113	−	8.32655i	0.323371	−	0.277552i
$901$	1.05336	+	1.63905i	0.0350924	+	0.0546048i
$902$	−7.82175	−	5.88403i	−0.260436	−	0.195917i
$903$	−1.42959	−	0.918744i	−0.0475739	−	0.0305739i
$904$	3.04686	+	8.34827i	0.101337	+	0.277659i
$905$	−57.0911	+	65.8867i	−1.89777	+	2.19015i
$906$	−1.96240	−	2.63434i	−0.0651964	−	0.0875202i
$907$	38.5049	−	17.5846i	1.27853	−	0.583886i	0.343735	−	0.939067i	$-0.388308\pi$
$907$	38.5049	−	17.5846i	1.27853	−	0.583886i	0.934798	+	0.355180i	$0.115581\pi$
$908$	13.8565	+	4.13949i	0.459844	+	0.137374i
$909$	−0.419997	+	1.43038i	−0.0139304	+	0.0474427i
$910$	0.0799450	−	0.212812i	0.00265015	−	0.00705464i
$911$	1.28096	−	8.90927i	0.0424401	−	0.295177i	−0.957536	−	0.288313i	$-0.906906\pi$
$911$	1.28096	−	8.90927i	0.0424401	−	0.295177i	0.999976	−	0.00686478i	$-0.00218514\pi$
$912$	2.42487	−	2.74585i	0.0802953	−	0.0909242i
$913$	−11.8474	+	25.9422i	−0.392091	+	0.858560i
$914$	−2.70483	−	12.5761i	−0.0894677	−	0.415981i
$915$	−19.7578	+	2.84074i	−0.653172	+	0.0939120i
$916$	−2.39769	+	1.52503i	−0.0792220	+	0.0503883i
$917$	−1.91304	+	1.65766i	−0.0631742	+	0.0547408i
$918$	−0.269913	+	0.491559i	−0.00890846	+	0.0162239i
$919$	50.8931			1.67881			0.839404	−	0.543508i	$-0.182904\pi$
$919$	50.8931			1.67881			0.839404	+	0.543508i	$0.182904\pi$
$920$	17.0205	−	42.5027i	0.561150	−	1.40127i
$921$	10.0399			0.330826
$922$	−11.9382	+	21.7416i	−0.393165	+	0.716022i
$923$	0.994529	−	0.861764i	0.0327353	−	0.0283653i
$924$	0.522393	+	0.821323i	0.0171855	+	0.0270196i
$925$	−55.0962	+	7.92164i	−1.81155	+	0.260462i
$926$	−8.11226	−	37.7181i	−0.266585	−	1.23949i
$927$	3.45952	−	7.57530i	0.113626	−	0.248806i
$928$	−2.63158	−	44.0665i	−0.0863860	−	1.44656i
$929$	−1.62340	+	11.2910i	−0.0532621	+	0.370446i	0.945706	+	0.325024i	$0.105372\pi$
$929$	−1.62340	+	11.2910i	−0.0532621	+	0.370446i	−0.998968	+	0.0454220i	$0.985537\pi$
$930$	−18.0699	+	48.1016i	−0.592535	+	1.57731i
$931$	−1.79883	+	6.12626i	−0.0589544	+	0.200780i
$932$	−7.23189	+	24.2080i	−0.236888	+	0.792959i
$933$	−20.0708	+	9.16603i	−0.657089	+	0.300082i
$934$	3.22813	+	4.33347i	0.105628	+	0.141795i
$935$	−2.53877	+	2.92990i	−0.0830267	+	0.0958179i
$936$	0.753125	−	0.274868i	0.0246167	−	0.00898433i
$937$	17.3722	+	11.1644i	0.567524	+	0.364725i	0.792718	−	0.609589i	$-0.208665\pi$
$937$	17.3722	+	11.1644i	0.567524	+	0.364725i	−0.225194	+	0.974314i	$0.572302\pi$
$938$	−2.10034	−	1.58001i	−0.0685784	−	0.0515891i
$939$	15.4150	+	23.9861i	0.503048	+	0.782758i
$940$	−26.2896	−	30.6296i	−0.857472	−	0.999026i
$941$	0.992116	+	3.37884i	0.0323421	+	0.110147i	0.974082	−	0.226195i	$-0.0726285\pi$
$941$	0.992116	+	3.37884i	0.0323421	+	0.110147i	−0.941740	+	0.336342i	$0.890810\pi$
$942$	−14.6576	−	14.7266i	−0.477570	−	0.479820i
$943$	−4.93523	+	10.3418i	−0.160713	+	0.336777i
$944$	−0.216392	+	23.0153i	−0.00704295	+	0.749084i
$945$	0.544142	−	0.159775i	0.0177009	−	0.00519747i
$946$	3.05275	−	41.3179i	0.0992534	−	1.34336i
$947$	4.09314	+	6.36904i	0.133009	+	0.206966i	0.901369	−	0.433052i	$-0.142563\pi$
$947$	4.09314	+	6.36904i	0.133009	+	0.206966i	−0.768360	+	0.640018i	$0.778927\pi$
$948$	0.682001	+	4.90707i	0.0221504	+	0.159374i
$949$	2.01226	−	3.13115i	0.0653209	−	0.101641i
$950$	−2.87499	−	7.76382i	−0.0932768	−	0.251892i
$951$	20.0511	−	23.1402i	0.650202	−	0.750373i
$952$	−0.111867	−	0.151654i	−0.00362563	−	0.00491514i
$953$	−21.9305	−	48.0212i	−0.710400	−	1.55556i	−0.826888	−	0.562366i	$-0.809891\pi$
$953$	−21.9305	−	48.0212i	−0.710400	−	1.55556i	0.116489	−	0.993192i	$-0.462836\pi$
$954$	6.10645	−	3.31577i	0.197704	−	0.107352i
$955$	−1.62505	+	5.53442i	−0.0525855	+	0.179090i
$956$	27.8973	−	12.5821i	0.902264	−	0.406935i
$957$	−22.3743	−	3.21694i	−0.723259	−	0.103989i
$958$	3.62102	−	0.250427i	0.116990	−	0.00809094i
$959$	0.365347	−	0.799998i	0.0117977	−	0.0258333i
$960$	−14.9172	+	22.5073i	−0.481452	+	0.726421i
$961$	−12.0798	−	84.0168i	−0.389671	−	2.71022i
$962$	−3.40909	−	0.749999i	−0.109914	−	0.0241809i
$963$	−0.580625	+	0.503115i	−0.0187104	+	0.0162126i
$964$	−10.6119	−	36.7795i	−0.341786	−	1.18459i
$965$			22.9281i			0.738082i
$966$	0.821128	−	0.790185i	0.0264193	−	0.0254238i
$967$	−15.9205			−0.511969			−0.255985	−	0.966681i	$-0.582400\pi$
$967$	−15.9205			−0.511969			−0.255985	+	0.966681i	$0.582400\pi$
$968$	3.58324	−	6.45360i	0.115170	−	0.207427i
$969$	0.237817	+	0.274456i	0.00763980	+	0.00881680i
$970$	6.79385	−	30.8812i	0.218137	−	0.991535i
$971$	43.0195	−	6.18527i	1.38056	−	0.198495i	0.588283	−	0.808655i	$-0.299804\pi$
$971$	43.0195	−	6.18527i	1.38056	−	0.198495i	0.792278	+	0.610161i	$0.208895\pi$
$972$	1.67741	+	1.08918i	0.0538028	+	0.0349354i
$973$	−1.11451	−	0.508981i	−0.0357296	−	0.0163172i
$974$	14.3362	−	0.991482i	0.459362	−	0.0317691i
$975$	0.257858	−	1.79344i	0.00825805	−	0.0574360i
$976$	21.6095	−	9.62421i	0.691702	−	0.308064i
$977$	−26.7757	−	7.86206i	−0.856631	−	0.251530i	−0.176212	−	0.984352i	$-0.556384\pi$
$977$	−26.7757	−	7.86206i	−0.856631	−	0.251530i	−0.680420	+	0.732823i	$0.738203\pi$
$978$	−8.82650	−	16.2552i	−0.282240	−	0.519786i
$979$	5.37608	−	2.45517i	0.171820	−	0.0784677i
$980$	6.91664	−	46.5518i	0.220944	−	1.48704i
$981$	8.70892	+	7.54632i	0.278054	+	0.240936i
$982$	17.4421	+	47.1020i	0.556601	+	1.50309i
$983$	24.9944	+	16.0629i	0.797197	+	0.512328i	0.874700	−	0.484665i	$-0.161058\pi$
$983$	24.9944	+	16.0629i	0.797197	+	0.512328i	−0.0775029	+	0.996992i	$0.524695\pi$
$984$	4.08808	−	5.38152i	0.130323	−	0.171556i
$985$	−10.5338	+	6.76965i	−0.335634	+	0.215699i
$986$	4.36439	+	0.322460i	0.138991	+	0.0102692i
$987$	−0.283055	−	0.963996i	−0.00900973	−	0.0306843i
$988$	0.00244060	−	0.519173i	7.76458e−5	−	0.0165171i
$989$	−48.1205	+	6.09298i	−1.53014	+	0.193745i
$990$	9.75366	+	9.79962i	0.309992	+	0.311452i
$991$	10.3509	−	3.03930i	0.328807	−	0.0965464i	−0.113163	−	0.993576i	$-0.536098\pi$
$991$	10.3509	−	3.03930i	0.328807	−	0.0965464i	0.441970	+	0.897030i	$0.354280\pi$
$992$	5.05770	−	60.6845i	0.160582	−	1.92673i
$993$	28.8805	−	18.5604i	0.916496	−	0.588996i
$994$	−0.663182	+	0.881581i	−0.0210349	+	0.0279620i
$995$	39.2201	−	61.0277i	1.24336	−	1.93471i
$996$	−17.8736	−	8.26436i	−0.566347	−	0.261866i
$997$	−14.7719	−	12.7999i	−0.467832	−	0.405378i	0.388788	−	0.921327i	$-0.372894\pi$
$997$	−14.7719	−	12.7999i	−0.467832	−	0.405378i	−0.856619	+	0.515949i	$0.827439\pi$
$998$	−18.7047	−	25.1093i	−0.592086	−	0.794822i
$999$	−3.61737	−	7.92094i	−0.114449	−	0.250608i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	552.2.bb.a.469.7	yes	480
8.5	even	2	inner	552.2.bb.a.469.15	yes	480
23.18	even	11	inner	552.2.bb.a.133.15	yes	480
184.133	even	22	inner	552.2.bb.a.133.7	✓	480

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
552.2.bb.a.133.7	✓	480	184.133	even	22	inner
552.2.bb.a.133.15	yes	480	23.18	even	11	inner
552.2.bb.a.469.7	yes	480	1.1	even	1	trivial
552.2.bb.a.469.15	yes	480	8.5	even	2	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 552 = 2^{3} \cdot 3 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	552.bb (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.23963 - 0.680676i) q^{2} +(-0.755750 + 0.654861i) q^{3} +(1.07336 + 1.68757i) q^{4} +(-3.34089 + 0.480347i) q^{5} +(1.38260 - 0.297364i) q^{6} +(-0.0697988 + 0.152838i) q^{7} +(-0.181879 - 2.82257i) q^{8} +(0.142315 - 0.989821i) q^{9} +(4.46842 + 1.67861i) q^{10} +(-0.816062 + 2.77925i) q^{11} +(-1.91632 - 0.572480i) q^{12} +(-0.257835 + 0.117749i) q^{13} +(0.190558 - 0.141952i) q^{14} +(2.21031 - 2.55084i) q^{15} +(-1.69579 + 3.62274i) q^{16} +(-0.333588 - 0.214384i) q^{17} +(-0.850165 + 1.13014i) q^{18} +(0.495131 + 0.770438i) q^{19} +(-4.39659 - 5.12240i) q^{20} +(-0.0473372 - 0.161216i) q^{21} +(2.90338 - 2.88977i) q^{22} +(-3.99025 - 2.66043i) q^{23} +(1.98585 + 2.01405i) q^{24} +(6.13332 - 1.80090i) q^{25} +(0.399769 + 0.0295366i) q^{26} +(0.540641 + 0.841254i) q^{27} +(-0.332845 + 0.0462599i) q^{28} +(4.21906 - 6.56499i) q^{29} +(-4.47626 + 1.65758i) q^{30} +(7.04944 - 8.13549i) q^{31} +(4.56807 - 3.33657i) q^{32} +(-1.20328 - 2.63483i) q^{33} +(0.267599 + 0.492822i) q^{34} +(0.159775 - 0.544142i) q^{35} +(1.82315 - 0.822269i) q^{36} +(-8.61922 - 1.23926i) q^{37} +(-0.0893595 - 1.29208i) q^{38} +(0.117749 - 0.257835i) q^{39} +(1.96345 + 9.34253i) q^{40} +(-0.340044 - 2.36506i) q^{41} +(-0.0510551 + 0.232069i) q^{42} +(7.64360 - 6.62321i) q^{43} +(-5.56611 + 1.60598i) q^{44} +3.37524i q^{45} +(3.13553 + 6.01402i) q^{46} +5.97954 q^{47} +(-1.09080 - 3.84840i) q^{48} +(4.56554 + 5.26891i) q^{49} +(-8.82887 - 1.94235i) q^{50} +(0.392501 - 0.0564331i) q^{51} +(-0.475460 - 0.308727i) q^{52} +(-4.46939 - 2.04110i) q^{53} +(-0.0975730 - 1.41084i) q^{54} +(1.39136 - 9.67716i) q^{55} +(0.444092 + 0.169214i) q^{56} +(-0.878725 - 0.258017i) q^{57} +(-9.69870 + 5.26634i) q^{58} +(5.23410 - 2.39033i) q^{59} +(6.67718 + 0.992093i) q^{60} +(-4.46945 - 3.87280i) q^{61} +(-14.2763 + 5.28660i) q^{62} +(0.141349 + 0.0908395i) q^{63} +(-7.93384 + 1.02674i) q^{64} +(0.804836 - 0.517237i) q^{65} +(-0.301836 + 4.08525i) q^{66} +(-3.11621 - 10.6129i) q^{67} +(0.00372815 - 0.793065i) q^{68} +(4.75784 - 0.602435i) q^{69} +(-0.568446 + 0.565780i) q^{70} +(-4.45457 + 1.30798i) q^{71} +(-2.81973 - 0.221666i) q^{72} +(-11.0466 + 7.09920i) q^{73} +(9.84111 + 7.40312i) q^{74} +(-3.45591 + 5.37750i) q^{75} +(-0.768716 + 1.66253i) q^{76} +(-0.367815 - 0.318714i) q^{77} +(-0.321467 + 0.239471i) q^{78} +(-1.02903 - 2.25327i) q^{79} +(3.92528 - 12.9177i) q^{80} +(-0.959493 - 0.281733i) q^{81} +(-1.18831 + 3.16326i) q^{82} +(9.74566 + 1.40121i) q^{83} +(0.221253 - 0.252928i) q^{84} +(1.21746 + 0.555995i) q^{85} +(-13.9835 + 3.00752i) q^{86} +(1.11060 + 7.72438i) q^{87} +(7.99307 + 1.79791i) q^{88} +(-1.33617 - 1.54203i) q^{89} +(2.29745 - 4.18405i) q^{90} -0.0476258i q^{91} +(0.206699 - 9.58944i) q^{92} +10.7648i q^{93} +(-7.41241 - 4.07013i) q^{94} +(-2.02425 - 2.33611i) q^{95} +(-1.26733 + 5.51306i) q^{96} +(-0.942731 - 6.55684i) q^{97} +(-2.07315 - 9.63915i) q^{98} +(2.63483 + 1.20328i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 480 q + 4 q^{2} + 4 q^{6} + 8 q^{7} + 4 q^{8} + 48 q^{9} - 4 q^{10} - 4 q^{14} - 8 q^{15} - 8 q^{16} - 4 q^{18} + 20 q^{20} + 20 q^{22} - 8 q^{23} - 4 q^{24} + 48 q^{25} + 16 q^{30} + 16 q^{31} + 4 q^{32}+ \cdots - 132 q^{98}+O(q^{100}) \) 480 * q + 4 * q^2 + 4 * q^6 + 8 * q^7 + 4 * q^8 + 48 * q^9 - 4 * q^10 - 4 * q^14 - 8 * q^15 - 8 * q^16 - 4 * q^18 + 20 * q^20 + 20 * q^22 - 8 * q^23 - 4 * q^24 + 48 * q^25 + 16 * q^30 + 16 * q^31 + 4 * q^32 + 6 * q^34 - 22 * q^36 + 90 * q^38 - 74 * q^40 + 90 * q^42 - 130 * q^44 + 96 * q^46 - 88 * q^48 - 48 * q^49 + 142 * q^50 - 142 * q^52 + 18 * q^54 - 82 * q^56 + 22 * q^58 + 2 * q^60 - 40 * q^62 - 8 * q^63 + 16 * q^66 - 44 * q^68 + 16 * q^71 - 4 * q^72 + 10 * q^74 - 138 * q^76 - 40 * q^79 - 170 * q^80 - 48 * q^81 - 124 * q^82 - 8 * q^84 - 216 * q^86 - 108 * q^88 + 4 * q^90 - 198 * q^92 - 238 * q^94 + 80 * q^95 + 4 * q^96 - 132 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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