LMFDB - Embedded newform 378.2.ba.a.47.11

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [378,2,Mod(47,378)]

mf = mfinit([N,k,chi],0)

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(378, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([7, 15]))

N = Newforms(chi, 2, names="a")

//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code

chi := DirichletCharacter("378.47");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 378 = 2 \cdot 3^{3} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	378.ba (of order $18$, degree $6$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

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

Self dual:	no
Analytic conductor:	$3.01834519640$
Analytic rank:	$0$
Dimension:	$144$
Relative dimension:	$24$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			47.11
Character	$\chi$	$=$	378.47
Dual form			378.2.ba.a.185.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.984808 - 0.173648i) q^{2} +(1.63664 + 0.566931i) q^{3} +(0.939693 + 0.342020i) q^{4} +(1.63454 + 0.594924i) q^{5} +(-1.51333 - 0.842517i) q^{6} +(-2.03053 + 1.69616i) q^{7} +(-0.866025 - 0.500000i) q^{8} +(2.35718 + 1.85572i) q^{9} +O(q^{10})$	\(q+(-0.984808 - 0.173648i) q^{2} +(1.63664 + 0.566931i) q^{3} +(0.939693 + 0.342020i) q^{4} +(1.63454 + 0.594924i) q^{5} +(-1.51333 - 0.842517i) q^{6} +(-2.03053 + 1.69616i) q^{7} +(-0.866025 - 0.500000i) q^{8} +(2.35718 + 1.85572i) q^{9} +(-1.50640 - 0.869721i) q^{10} +(0.877688 + 2.41143i) q^{11} +(1.34404 + 1.09250i) q^{12} +(-0.456584 + 1.25445i) q^{13} +(2.29421 - 1.31779i) q^{14} +(2.33787 + 1.90035i) q^{15} +(0.766044 + 0.642788i) q^{16} +(1.87047 - 3.23976i) q^{17} +(-1.99912 - 2.23685i) q^{18} +(-4.70760 + 2.71794i) q^{19} +(1.33249 + 1.11809i) q^{20} +(-4.28485 + 1.62483i) q^{21} +(-0.445614 - 2.52720i) q^{22} +(4.48420 - 0.790686i) q^{23} +(-1.13391 - 1.30930i) q^{24} +(-1.51244 - 1.26908i) q^{25} +(0.667481 - 1.15611i) q^{26} +(2.80579 + 4.37351i) q^{27} +(-2.48819 + 0.899388i) q^{28} +(-1.79379 - 4.92840i) q^{29} +(-1.97236 - 2.27744i) q^{30} +(1.16350 - 3.19670i) q^{31} +(-0.642788 - 0.766044i) q^{32} +(0.0693459 + 4.44423i) q^{33} +(-2.40464 + 2.86573i) q^{34} +(-4.32806 + 1.56443i) q^{35} +(1.58033 + 2.55001i) q^{36} +2.79642 q^{37} +(5.10805 - 1.85918i) q^{38} +(-1.45845 + 1.79424i) q^{39} +(-1.11809 - 1.33249i) q^{40} +(5.82495 + 2.12011i) q^{41} +(4.50190 - 0.856093i) q^{42} +(-1.74954 + 9.92212i) q^{43} +2.56619i q^{44} +(2.74889 + 4.43560i) q^{45} -4.55338 q^{46} +(8.21258 - 2.98914i) q^{47} +(0.889323 + 1.48631i) q^{48} +(1.24608 - 6.88820i) q^{49} +(1.26908 + 1.51244i) q^{50} +(4.89801 - 4.24188i) q^{51} +(-0.858097 + 1.02264i) q^{52} +(0.290091 - 0.167484i) q^{53} +(-2.00371 - 4.79428i) q^{54} +4.46373i q^{55} +(2.60657 - 0.453654i) q^{56} +(-9.24553 + 1.77940i) q^{57} +(0.910732 + 5.16502i) q^{58} +(4.84837 - 4.06827i) q^{59} +(1.54692 + 2.58534i) q^{60} +(-3.56571 - 9.79671i) q^{61} +(-1.70093 + 2.94610i) q^{62} +(-7.93392 + 0.230056i) q^{63} +(0.500000 + 0.866025i) q^{64} +(-1.49261 + 1.77882i) q^{65} +(0.703440 - 4.38875i) q^{66} +(-1.77135 - 10.0459i) q^{67} +(2.86573 - 2.40464i) q^{68} +(7.78728 + 1.24816i) q^{69} +(4.53397 - 0.789105i) q^{70} +(-6.08875 + 3.51534i) q^{71} +(-1.11351 - 2.78569i) q^{72} +14.7534i q^{73} +(-2.75394 - 0.485594i) q^{74} +(-1.75583 - 2.93448i) q^{75} +(-5.35329 + 0.943929i) q^{76} +(-5.87234 - 3.40777i) q^{77} +(1.74786 - 1.51372i) q^{78} +(2.18618 - 12.3984i) q^{79} +(0.869721 + 1.50640i) q^{80} +(2.11258 + 8.74854i) q^{81} +(-5.36830 - 3.09939i) q^{82} +(-10.6369 + 3.87152i) q^{83} +(-4.58217 + 0.0613407i) q^{84} +(4.98477 - 4.18272i) q^{85} +(3.44592 - 9.46758i) q^{86} +(-0.141727 - 9.08297i) q^{87} +(0.445614 - 2.52720i) q^{88} +(-8.56289 - 14.8314i) q^{89} +(-1.93689 - 4.84555i) q^{90} +(-1.20065 - 3.32164i) q^{91} +(4.48420 + 0.790686i) q^{92} +(3.71655 - 4.57222i) q^{93} +(-8.60687 + 1.51762i) q^{94} +(-9.31173 + 1.64191i) q^{95} +(-0.617717 - 1.61815i) q^{96} +(-0.750587 - 0.132349i) q^{97} +(-2.42327 + 6.56717i) q^{98} +(-2.40608 + 7.31292i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 144 q - 18 q^{6} + 24 q^{9}+O(q^{10}) $ 144 * q - 18 * q^6 + 24 * q^9	$ 144 q - 18 q^{6} + 24 q^{9} - 24 q^{11} + 6 q^{14} + 12 q^{15} - 30 q^{21} - 42 q^{23} - 6 q^{29} - 18 q^{30} + 6 q^{36} + 48 q^{39} - 48 q^{42} + 18 q^{45} - 54 q^{47} - 36 q^{49} + 12 q^{50} - 36 q^{51} - 90 q^{53} + 6 q^{56} - 6 q^{57} + 18 q^{60} + 54 q^{61} - 24 q^{63} + 72 q^{64} + 78 q^{65} - 72 q^{66} - 54 q^{68} + 36 q^{69} - 18 q^{70} - 72 q^{71} + 12 q^{72} - 36 q^{74} - 6 q^{77} - 60 q^{78} + 36 q^{79} - 6 q^{84} - 72 q^{85} + 24 q^{86} + 36 q^{91} - 42 q^{92} + 96 q^{93} - 66 q^{95} - 108 q^{99}+O(q^{100}) $ 144 * q - 18 * q^6 + 24 * q^9 - 24 * q^11 + 6 * q^14 + 12 * q^15 - 30 * q^21 - 42 * q^23 - 6 * q^29 - 18 * q^30 + 6 * q^36 + 48 * q^39 - 48 * q^42 + 18 * q^45 - 54 * q^47 - 36 * q^49 + 12 * q^50 - 36 * q^51 - 90 * q^53 + 6 * q^56 - 6 * q^57 + 18 * q^60 + 54 * q^61 - 24 * q^63 + 72 * q^64 + 78 * q^65 - 72 * q^66 - 54 * q^68 + 36 * q^69 - 18 * q^70 - 72 * q^71 + 12 * q^72 - 36 * q^74 - 6 * q^77 - 60 * q^78 + 36 * q^79 - 6 * q^84 - 72 * q^85 + 24 * q^86 + 36 * q^91 - 42 * q^92 + 96 * q^93 - 66 * q^95 - 108 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/378\mathbb{Z}\right)^\times$.

$n$	$29$	$325$
$\chi(n)$	$e\left(\frac{7}{18}\right)$	$e\left(\frac{5}{6}\right)$

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 $

$2$	−0.984808	−	0.173648i	−0.696364	−	0.122788i
$2$	−0.984808	−	0.173648i	−0.696364	−	0.122788i
$3$	1.63664	+	0.566931i	0.944914	+	0.327318i
$3$	1.63664	+	0.566931i	0.944914	+	0.327318i
$4$	0.939693	+	0.342020i	0.469846	+	0.171010i
$5$	1.63454	+	0.594924i	0.730989	+	0.266058i	0.680583	−	0.732671i	$-0.261726\pi$
$5$	1.63454	+	0.594924i	0.730989	+	0.266058i	0.0504053	+	0.998729i	$0.483949\pi$
$6$	−1.51333	−	0.842517i	−0.617814	−	0.343956i
$7$	−2.03053	+	1.69616i	−0.767467	+	0.641088i
$7$	−2.03053	+	1.69616i	−0.767467	+	0.641088i
$8$	−0.866025	−	0.500000i	−0.306186	−	0.176777i
$9$	2.35718	+	1.85572i	0.785726	+	0.618574i
$10$	−1.50640	−	0.869721i	−0.476366	−	0.275030i
$11$	0.877688	+	2.41143i	0.264633	+	0.727073i	0.998840	+	0.0481478i	$0.0153318\pi$
$11$	0.877688	+	2.41143i	0.264633	+	0.727073i	−0.734207	+	0.678925i	$0.762446\pi$
$12$	1.34404	+	1.09250i	0.387990	+	0.315379i
$13$	−0.456584	+	1.25445i	−0.126634	+	0.347923i	−0.986767	−	0.162147i	$-0.948158\pi$
$13$	−0.456584	+	1.25445i	−0.126634	+	0.347923i	0.860133	+	0.510070i	$0.170380\pi$
$14$	2.29421	−	1.31779i	0.613154	−	0.352195i
$15$	2.33787	+	1.90035i	0.603636	+	0.490668i
$16$	0.766044	+	0.642788i	0.191511	+	0.160697i
$17$	1.87047	−	3.23976i	0.453657	−	0.785756i	−0.544953	−	0.838466i	$-0.683453\pi$
$17$	1.87047	−	3.23976i	0.453657	−	0.785756i	0.998610	+	0.0527101i	$0.0167859\pi$
$18$	−1.99912	−	2.23685i	−0.471198	−	0.527231i
$19$	−4.70760	+	2.71794i	−1.08000	+	0.623537i	−0.930896	−	0.365284i	$-0.880972\pi$
$19$	−4.70760	+	2.71794i	−1.08000	+	0.623537i	−0.149102	+	0.988822i	$0.547638\pi$
$20$	1.33249	+	1.11809i	0.297954	+	0.250013i
$21$	−4.28485	+	1.62483i	−0.935030	+	0.354568i
$22$	−0.445614	−	2.52720i	−0.0950052	−	0.538801i
$23$	4.48420	−	0.790686i	0.935020	−	0.164869i	0.314676	−	0.949199i	$-0.398104\pi$
$23$	4.48420	−	0.790686i	0.935020	−	0.164869i	0.620344	+	0.784330i	$0.286993\pi$
$24$	−1.13391	−	1.30930i	−0.231458	−	0.267259i
$25$	−1.51244	−	1.26908i	−0.302487	−	0.253817i
$26$	0.667481	−	1.15611i	0.130904	−	0.226732i
$27$	2.80579	+	4.37351i	0.539974	+	0.841682i
$28$	−2.48819	+	0.899388i	−0.470224	+	0.169968i
$29$	−1.79379	−	4.92840i	−0.333099	−	0.915181i	−0.987301	−	0.158861i	$-0.949218\pi$
$29$	−1.79379	−	4.92840i	−0.333099	−	0.915181i	0.654202	−	0.756320i	$-0.273004\pi$
$30$	−1.97236	−	2.27744i	−0.360103	−	0.415802i
$31$	1.16350	−	3.19670i	0.208972	−	0.574145i	−0.790283	−	0.612742i	$-0.790067\pi$
$31$	1.16350	−	3.19670i	0.208972	−	0.574145i	0.999255	+	0.0385970i	$0.0122889\pi$
$32$	−0.642788	−	0.766044i	−0.113630	−	0.135419i
$33$	0.0693459	+	4.44423i	0.0120716	+	0.773641i
$34$	−2.40464	+	2.86573i	−0.412392	+	0.491469i
$35$	−4.32806	+	1.56443i	−0.731576	+	0.264437i
$36$	1.58033	+	2.55001i	0.263388	+	0.425002i
$37$	2.79642			0.459729			0.229865	−	0.973223i	$-0.426172\pi$
$37$	2.79642			0.459729			0.229865	+	0.973223i	$0.426172\pi$
$38$	5.10805	−	1.85918i	0.828635	−	0.301599i
$39$	−1.45845	+	1.79424i	−0.233539	+	0.287308i
$40$	−1.11809	−	1.33249i	−0.176786	−	0.210685i
$41$	5.82495	+	2.12011i	0.909704	+	0.331105i	0.754135	−	0.656720i	$-0.228057\pi$
$41$	5.82495	+	2.12011i	0.909704	+	0.331105i	0.155569	+	0.987825i	$0.450279\pi$
$42$	4.50190	−	0.856093i	0.694658	−	0.132098i
$43$	−1.74954	+	9.92212i	−0.266802	+	1.51311i	0.497052	+	0.867721i	$0.334416\pi$
$43$	−1.74954	+	9.92212i	−0.266802	+	1.51311i	−0.763854	+	0.645389i	$0.776695\pi$
$44$			2.56619i			0.386868i
$45$	2.74889	+	4.43560i	0.409780	+	0.661220i
$46$	−4.55338			−0.671359
$47$	8.21258	−	2.98914i	1.19793	−	0.436010i	0.335428	−	0.942066i	$-0.391119\pi$
$47$	8.21258	−	2.98914i	1.19793	−	0.436010i	0.862501	+	0.506056i	$0.168897\pi$
$48$	0.889323	+	1.48631i	0.128363	+	0.214530i
$49$	1.24608	−	6.88820i	0.178012	−	0.984028i
$50$	1.26908	+	1.51244i	0.179476	+	0.213891i
$51$	4.89801	−	4.24188i	0.685859	−	0.593983i
$52$	−0.858097	+	1.02264i	−0.118997	+	0.141815i
$53$	0.290091	−	0.167484i	0.0398470	−	0.0230057i	−0.479944	−	0.877299i	$-0.659343\pi$
$53$	0.290091	−	0.167484i	0.0398470	−	0.0230057i	0.519791	+	0.854293i	$0.326010\pi$
$54$	−2.00371	−	4.79428i	−0.272670	−	0.652419i
$55$			4.46373i			0.601890i
$56$	2.60657	−	0.453654i	0.348317	−	0.0606221i
$57$	−9.24553	+	1.77940i	−1.22460	+	0.235687i
$58$	0.910732	+	5.16502i	0.119585	+	0.678200i
$59$	4.84837	−	4.06827i	0.631204	−	0.529643i	−0.270099	−	0.962833i	$-0.587056\pi$
$59$	4.84837	−	4.06827i	0.631204	−	0.529643i	0.901303	+	0.433189i	$0.142612\pi$
$60$	1.54692	+	2.58534i	0.199707	+	0.333766i
$61$	−3.56571	−	9.79671i	−0.456543	−	1.25434i	−0.928042	−	0.372474i	$-0.878509\pi$
$61$	−3.56571	−	9.79671i	−0.456543	−	1.25434i	0.471500	−	0.881866i	$-0.343713\pi$
$62$	−1.70093	+	2.94610i	−0.216018	+	0.374155i
$63$	−7.93392	+	0.230056i	−0.999580	+	0.0289843i
$64$	0.500000	+	0.866025i	0.0625000	+	0.108253i
$65$	−1.49261	+	1.77882i	−0.185135	+	0.220636i
$66$	0.703440	−	4.38875i	0.0865875	−	0.540218i
$67$	−1.77135	−	10.0459i	−0.216405	−	1.22730i	−0.878451	−	0.477832i	$-0.841423\pi$
$67$	−1.77135	−	10.0459i	−0.216405	−	1.22730i	0.662046	−	0.749464i	$-0.269689\pi$
$68$	2.86573	−	2.40464i	0.347521	−	0.291605i
$69$	7.78728	+	1.24816i	0.937479	+	0.150261i
$70$	4.53397	−	0.789105i	0.541913	−	0.0943161i
$71$	−6.08875	+	3.51534i	−0.722602	+	0.417194i	−0.815709	−	0.578462i	$-0.803653\pi$
$71$	−6.08875	+	3.51534i	−0.722602	+	0.417194i	0.0931079	+	0.995656i	$0.470320\pi$
$72$	−1.11351	−	2.78569i	−0.131229	−	0.328297i
$73$			14.7534i			1.72676i	0.504557	+	0.863379i	$0.331656\pi$
$73$			14.7534i			1.72676i	−0.504557	+	0.863379i	$0.668344\pi$
$74$	−2.75394	−	0.485594i	−0.320139	−	0.0564491i
$75$	−1.75583	−	2.93448i	−0.202746	−	0.338845i
$76$	−5.35329	+	0.943929i	−0.614064	+	0.108276i
$77$	−5.87234	−	3.40777i	−0.669215	−	0.388352i
$78$	1.74786	−	1.51372i	0.197906	−	0.171395i
$79$	2.18618	−	12.3984i	0.245964	−	1.39493i	−0.572278	−	0.820060i	$-0.693940\pi$
$79$	2.18618	−	12.3984i	0.245964	−	1.39493i	0.818242	−	0.574874i	$-0.194949\pi$
$80$	0.869721	+	1.50640i	0.0972377	+	0.168421i
$81$	2.11258	+	8.74854i	0.234731	+	0.972060i
$82$	−5.36830	−	3.09939i	−0.592830	−	0.342270i
$83$	−10.6369	+	3.87152i	−1.16755	+	0.424954i	−0.851790	−	0.523884i	$-0.824483\pi$
$83$	−10.6369	+	3.87152i	−1.16755	+	0.424954i	−0.315763	+	0.948838i	$0.602260\pi$
$84$	−4.58217	+	0.0613407i	−0.499955	+	0.00669282i
$85$	4.98477	−	4.18272i	0.540675	−	0.453680i
$86$	3.44592	−	9.46758i	0.371583	−	1.02092i
$87$	−0.141727	−	9.08297i	−0.0151947	−	0.973797i
$88$	0.445614	−	2.52720i	0.0475026	−	0.269401i
$89$	−8.56289	−	14.8314i	−0.907665	−	1.57212i	−0.817300	−	0.576213i	$-0.804530\pi$
$89$	−8.56289	−	14.8314i	−0.907665	−	1.57212i	−0.0903653	−	0.995909i	$-0.528803\pi$
$90$	−1.93689	−	4.84555i	−0.204167	−	0.510766i
$91$	−1.20065	−	3.32164i	−0.125862	−	0.348203i
$92$	4.48420	+	0.790686i	0.467510	+	0.0824347i
$93$	3.71655	−	4.57222i	0.385388	−	0.474117i
$94$	−8.60687	+	1.51762i	−0.887731	+	0.156531i
$95$	−9.31173	+	1.64191i	−0.955364	+	0.168456i
$96$	−0.617717	−	1.61815i	−0.0630455	−	0.165152i
$97$	−0.750587	−	0.132349i	−0.0762106	−	0.0134380i	0.135413	−	0.990789i	$-0.456764\pi$
$97$	−0.750587	−	0.132349i	−0.0762106	−	0.0134380i	−0.211623	+	0.977351i	$0.567875\pi$
$98$	−2.42327	+	6.56717i	−0.244788	+	0.663385i
$99$	−2.40608	+	7.31292i	−0.241820	+	0.734976i
$100$	−0.987172	−	1.70983i	−0.0987172	−	0.170983i
$101$	2.77533	−	15.7397i	0.276156	−	1.56616i	−0.459110	−	0.888380i	$-0.651831\pi$
$101$	2.77533	−	15.7397i	0.276156	−	1.56616i	0.735266	−	0.677779i	$-0.237057\pi$
$102$	−5.56019	+	3.32691i	−0.550541	+	0.329413i
$103$	−0.371882	+	1.02174i	−0.0366427	+	0.100675i	−0.956665	−	0.291192i	$-0.905948\pi$
$103$	−0.371882	+	1.02174i	−0.0366427	+	0.100675i	0.920022	+	0.391867i	$0.128171\pi$
$104$	1.02264	−	0.858097i	0.100278	−	0.0841433i
$105$	−7.97041	+	0.106699i	−0.777832	+	0.0104127i
$106$	−0.314767	+	0.114566i	−0.0305729	+	0.0111276i
$107$	−3.96611	−	2.28984i	−0.383419	−	0.221367i	0.295886	−	0.955223i	$-0.404385\pi$
$107$	−3.96611	−	2.28984i	−0.383419	−	0.221367i	−0.679305	+	0.733856i	$0.737718\pi$
$108$	1.14075	+	5.06939i	0.109769	+	0.487802i
$109$	0.464965	+	0.805343i	0.0445355	+	0.0771378i	0.887434	−	0.460935i	$-0.152486\pi$
$109$	0.464965	+	0.805343i	0.0445355	+	0.0771378i	−0.842898	+	0.538073i	$0.819153\pi$
$110$	0.775119	−	4.39592i	0.0739047	−	0.419135i
$111$	4.57674	+	1.58538i	0.434405	+	0.150478i
$112$	−2.64574	−	0.00586368i	−0.249999	−	0.000554066i
$113$	−5.90840	+	1.04181i	−0.555815	+	0.0980052i	−0.444498	−	0.895780i	$-0.646618\pi$
$113$	−5.90840	+	1.04181i	−0.555815	+	0.0980052i	−0.111317	+	0.993785i	$0.535507\pi$
$114$	9.41406	−	0.146893i	0.881708	−	0.0137578i
$115$	7.80000	+	1.37535i	0.727354	+	0.128252i
$116$		−	5.24469i		−	0.486958i
$117$	−3.40417	+	2.10968i	−0.314715	+	0.195040i
$118$	−5.48116	+	3.16455i	−0.504582	+	0.291320i
$119$	1.69710	+	9.75104i	0.155573	+	0.893876i
$120$	−1.07448	−	2.81469i	−0.0980864	−	0.256944i
$121$	3.38184	−	2.83770i	0.307440	−	0.257972i
$122$	1.81036	+	10.2671i	0.163902	+	0.929536i
$123$	8.33139	+	6.77220i	0.751216	+	0.610628i
$124$	2.18667	−	2.60598i	0.196369	−	0.234023i
$125$	−6.06573	−	10.5062i	−0.542535	−	0.939699i
$126$	7.85333	+	1.15115i	0.699631	+	0.102553i
$127$	−0.0882567	+	0.152865i	−0.00783152	+	0.0135646i	−0.869915	−	0.493202i	$-0.835826\pi$
$127$	−0.0882567	+	0.152865i	−0.00783152	+	0.0135646i	0.862083	+	0.506767i	$0.169160\pi$
$128$	−0.342020	−	0.939693i	−0.0302306	−	0.0830579i
$129$	−8.48852	+	15.2471i	−0.747373	+	1.34243i
$130$	1.77882	−	1.49261i	0.156013	−	0.130910i
$131$	0.328372	+	1.86229i	0.0286900	+	0.162709i	0.995787	−	0.0917001i	$-0.0292301\pi$
$131$	0.328372	+	1.86229i	0.0286900	+	0.162709i	−0.967097	+	0.254409i	$0.918119\pi$
$132$	−1.45485	+	4.19993i	−0.126629	+	0.365557i
$133$	4.94886	−	13.5037i	0.429121	−	1.17092i
$134$			10.2008i			0.881217i
$135$	1.98426	+	8.81790i	0.170778	+	0.758924i
$136$	−3.23976	+	1.87047i	−0.277807	+	0.160392i
$137$	−3.43264	+	4.09086i	−0.293270	+	0.349505i	−0.892480	−	0.451086i	$-0.851037\pi$
$137$	−3.43264	+	4.09086i	−0.293270	+	0.349505i	0.599211	+	0.800591i	$0.295481\pi$
$138$	−7.45224	−	2.58145i	−0.634377	−	0.219748i
$139$	−1.91059	−	2.27696i	−0.162055	−	0.193129i	0.678907	−	0.734225i	$-0.262454\pi$
$139$	−1.91059	−	2.27696i	−0.162055	−	0.193129i	−0.840961	+	0.541096i	$0.818010\pi$
$140$	−4.60212	−	0.0101995i	−0.388950	−	0.000862018i
$141$	15.1357	−	0.236171i	1.27465	−	0.0198892i
$142$	6.60668	−	2.40463i	0.554420	−	0.201792i
$143$	−3.42576			−0.286477
$144$	0.612868	+	2.93673i	0.0510723	+	0.244728i
$145$		−	9.12284i		−	0.757610i
$146$	2.56190	−	14.5293i	0.212025	−	1.20245i
$147$	5.94452	−	10.5671i	0.490296	−	0.871556i
$148$	2.62778	+	0.956433i	0.216002	+	0.0786183i
$149$	6.76057	+	8.05693i	0.553847	+	0.660050i	0.968232	−	0.250052i	$-0.0804477\pi$
$149$	6.76057	+	8.05693i	0.553847	+	0.660050i	−0.414385	+	0.910102i	$0.636003\pi$
$150$	1.21959	+	3.19480i	0.0995789	+	0.260854i
$151$	1.14609	−	0.417142i	0.0932673	−	0.0339465i	−0.294965	−	0.955508i	$-0.595308\pi$
$151$	1.14609	−	0.417142i	0.0932673	−	0.0339465i	0.388232	+	0.921562i	$0.373086\pi$
$152$	5.43587			0.440908
$153$	10.4211	−	4.16560i	0.842499	−	0.336769i
$154$	5.19137	+	4.37572i	0.418333	+	0.352606i
$155$	3.80359	−	4.53294i	0.305512	−	0.364095i
$156$	−1.98416	+	1.18721i	−0.158860	+	0.0950530i
$157$	−14.1971	−	16.9195i	−1.13305	−	1.35032i	−0.928442	−	0.371478i	$-0.878851\pi$
$157$	−14.1971	−	16.9195i	−1.13305	−	1.35032i	−0.204612	−	0.978843i	$-0.565593\pi$
$158$	−4.30593	+	11.8305i	−0.342562	+	0.941180i
$159$	0.569726	−	0.109649i	0.0451822	−	0.00869577i
$160$	−0.594924	−	1.63454i	−0.0470329	−	0.129222i
$161$	−7.76416	+	9.21143i	−0.611902	+	0.725962i
$162$	−0.561319	−	8.98248i	−0.0441014	−	0.705730i
$163$	−6.85929	+	11.8806i	−0.537261	+	0.930564i	0.461789	+	0.886990i	$0.347208\pi$
$163$	−6.85929	+	11.8806i	−0.537261	+	0.930564i	−0.999050	+	0.0435739i	$0.986126\pi$
$164$	4.74854	+	3.98450i	0.370799	+	0.311137i
$165$	−2.53063	+	7.30553i	−0.197009	+	0.568734i
$166$	11.1476	−	1.96562i	0.865221	−	0.152562i
$167$	0.787714	+	4.46735i	0.0609552	+	0.345694i	0.999998	+	0.00189429i	$0.000602972\pi$
$167$	0.787714	+	4.46735i	0.0609552	+	0.345694i	−0.939043	+	0.343800i	$0.888286\pi$
$168$	4.52320	+	0.735276i	0.348973	+	0.0567278i
$169$	8.59339	+	7.21071i	0.661030	+	0.554670i
$170$	−5.63537	+	3.25358i	−0.432213	+	0.249538i
$171$	−16.1404	−	2.32935i	−1.23429	−	0.178130i
$172$	−5.03759	+	8.72537i	−0.384113	+	0.665303i
$173$	3.19504	+	2.68095i	0.242914	+	0.203829i	0.756114	−	0.654440i	$-0.227096\pi$
$173$	3.19504	+	2.68095i	0.242914	+	0.203829i	−0.513200	+	0.858269i	$0.671540\pi$
$174$	−1.43767	+	8.96959i	−0.108989	+	0.679983i
$175$	5.22361	+	0.0115769i	0.394868	+	0.000875134i
$176$	−0.877688	+	2.41143i	−0.0661582	+	0.181768i
$177$	10.2415	−	3.90959i	0.769795	−	0.293863i
$178$	5.85736	+	16.0930i	0.439028	+	1.20622i
$179$	14.2603	+	8.23319i	1.06587	+	0.615378i	0.927049	−	0.374941i	$-0.122337\pi$
$179$	14.2603	+	8.23319i	1.06587	+	0.615378i	0.138816	+	0.990318i	$0.455670\pi$
$180$	1.06605	+	5.10827i	0.0794585	+	0.380748i
$181$	−7.17970	−	4.14520i	−0.533663	−	0.308111i	0.208844	−	0.977949i	$-0.433030\pi$
$181$	−7.17970	−	4.14520i	−0.533663	−	0.308111i	−0.742507	+	0.669839i	$0.766363\pi$
$182$	0.605611	+	3.47967i	0.0448909	+	0.257930i
$183$	−0.281726	−	18.0552i	−0.0208258	−	1.33468i
$184$	−4.27877	−	1.55735i	−0.315435	−	0.114809i
$185$	4.57087	+	1.66366i	0.336057	+	0.122315i
$186$	−4.45404	+	3.85739i	−0.326586	+	0.282837i
$187$	9.45414	+	1.66702i	0.691355	+	0.121905i
$188$	8.73965			0.637404
$189$	−13.1154	−	4.12147i	−0.954004	−	0.299793i
$190$	9.45538			0.685965
$191$	3.04799	+	0.537442i	0.220545	+	0.0388879i	0.282828	−	0.959171i	$-0.408727\pi$
$191$	3.04799	+	0.537442i	0.220545	+	0.0388879i	−0.0622839	+	0.998058i	$0.519838\pi$
$192$	0.327343	+	1.70084i	0.0236240	+	0.122747i
$193$	18.4538	+	6.71664i	1.32834	+	0.483474i	0.906120	−	0.423021i	$-0.139030\pi$
$193$	18.4538	+	6.71664i	1.32834	+	0.483474i	0.422215	+	0.906496i	$0.361253\pi$
$194$	0.716202	+	0.260676i	0.0514203	+	0.0187155i
$195$	−3.45133	+	2.06508i	−0.247155	+	0.147884i
$196$	3.52684	−	6.04660i	0.251917	−	0.431900i
$197$	−13.6189	−	7.86287i	−0.970305	−	0.560206i	−0.0709759	−	0.997478i	$-0.522611\pi$
$197$	−13.6189	−	7.86287i	−0.970305	−	0.560206i	−0.899329	+	0.437272i	$0.855945\pi$
$198$	3.63940	−	6.78401i	0.258641	−	0.482118i
$199$	6.83732	+	3.94753i	0.484685	+	0.279833i	0.722367	−	0.691510i	$-0.243054\pi$
$199$	6.83732	+	3.94753i	0.484685	+	0.279833i	−0.237682	+	0.971343i	$0.576388\pi$
$200$	0.675266	+	1.85528i	0.0477485	+	0.131188i
$201$	2.79623	−	17.4457i	0.197231	−	1.23052i
$202$	−5.46634	+	15.0186i	−0.384610	+	1.05671i
$203$	12.0017	+	6.96469i	0.842354	+	0.488826i
$204$	6.05343	−	2.31085i	0.423825	−	0.161792i
$205$	8.25981	+	6.93080i	0.576890	+	0.484068i
$206$	0.543656	−	0.941639i	0.0378783	−	0.0656071i
$207$	12.0374	+	6.45765i	0.836654	+	0.448838i
$208$	−1.15611	+	0.667481i	−0.0801619	+	0.0462815i
$209$	−10.6859	−	8.96655i	−0.739161	−	0.620229i
$210$	7.86785	+	1.27897i	0.542933	+	0.0882572i
$211$	3.23346	+	18.3379i	0.222600	+	1.26243i	0.867220	+	0.497926i	$0.165905\pi$
$211$	3.23346	+	18.3379i	0.222600	+	1.26243i	−0.644619	+	0.764504i	$0.722984\pi$
$212$	0.329879	−	0.0581666i	0.0226562	−	0.00399490i
$213$	−11.9580	+	2.30145i	−0.819352	+	0.157692i
$214$	3.50823	+	2.94376i	0.239818	+	0.201231i
$215$	−8.76260	+	15.1773i	−0.597604	+	1.03508i
$216$	−0.243127	−	5.19046i	−0.0165427	−	0.353166i
$217$	3.05959	+	8.46448i	0.207699	+	0.574606i
$218$	−0.318055	−	0.873848i	−0.0215414	−	0.0591844i
$219$	−8.36417	+	24.1460i	−0.565198	+	1.63164i
$220$	−1.52669	+	4.19454i	−0.102929	+	0.282796i
$221$	3.21010	+	3.82564i	0.215934	+	0.257341i
$222$	−4.23191	−	2.35604i	−0.284027	−	0.158127i
$223$	−15.4168	+	18.3731i	−1.03239	+	1.23035i	−0.0597034	+	0.998216i	$0.519016\pi$
$223$	−15.4168	+	18.3731i	−1.03239	+	1.23035i	−0.972684	+	0.232135i	$0.925429\pi$
$224$	2.60453	+	0.465203i	0.174023	+	0.0310827i
$225$	−1.21001	−	5.79812i	−0.0806675	−	0.386541i
$226$	5.99954			0.399084
$227$	7.70260	−	2.80352i	0.511240	−	0.186076i	−0.0735027	−	0.997295i	$-0.523418\pi$
$227$	7.70260	−	2.80352i	0.511240	−	0.186076i	0.584743	+	0.811219i	$0.301196\pi$
$228$	−9.29655	−	1.49007i	−0.615679	−	0.0986825i
$229$	−4.36308	−	5.19971i	−0.288320	−	0.343607i	0.602370	−	0.798217i	$-0.294223\pi$
$229$	−4.36308	−	5.19971i	−0.288320	−	0.343607i	−0.890691	+	0.454610i	$0.849779\pi$
$230$	−7.44268	−	2.70891i	−0.490756	−	0.178620i
$231$	−7.67893	−	8.90651i	−0.505237	−	0.586005i
$232$	−0.910732	+	5.16502i	−0.0597925	+	0.339100i
$233$		−	0.247255i		−	0.0161982i	−0.999967	−	0.00809910i	$-0.997422\pi$
$233$		−	0.247255i		−	0.0161982i	0.999967	−	0.00809910i	$-0.00257805\pi$
$234$	3.71879	−	1.48650i	0.243105	−	0.0971755i
$235$	15.2021			0.991676
$236$	5.94741	−	2.16468i	0.387143	−	0.140909i
$237$	10.6070	−	19.0524i	0.689002	−	1.23758i
$238$	0.0219357	−	9.89760i	0.00142188	−	0.641566i
$239$	16.3698	+	19.5087i	1.05887	+	1.26192i	0.963851	+	0.266441i	$0.0858477\pi$
$239$	16.3698	+	19.5087i	1.05887	+	1.26192i	0.0950220	+	0.995475i	$0.469708\pi$
$240$	0.569394	+	2.95851i	0.0367542	+	0.190971i
$241$	15.7353	−	18.7526i	1.01360	−	1.20796i	0.0355999	−	0.999366i	$-0.488666\pi$
$241$	15.7353	−	18.7526i	1.01360	−	1.20796i	0.978002	−	0.208597i	$-0.0668897\pi$
$242$	−3.82322	+	2.20734i	−0.245766	+	0.141893i
$243$	−1.50228	+	15.5159i	−0.0963715	+	0.995345i
$244$		−	10.4254i		−	0.667421i
$245$	6.13472	−	10.5177i	0.391933	−	0.671952i
$246$	−7.02883	−	8.11604i	−0.448142	−	0.517460i
$247$	−1.26011	−	7.14644i	−0.0801789	−	0.454717i
$248$	−2.60598	+	2.18667i	−0.165480	+	0.138854i
$249$	−19.6037	+	0.305888i	−1.24233	+	0.0193848i
$250$	4.14920	+	11.3998i	0.262419	+	0.720990i
$251$	−4.39071	+	7.60494i	−0.277139	+	0.480019i	−0.970673	−	0.240405i	$-0.922720\pi$
$251$	−4.39071	+	7.60494i	−0.277139	+	0.480019i	0.693533	+	0.720425i	$0.256053\pi$
$252$	−7.53413	−	2.49738i	−0.474606	−	0.157320i
$253$	5.84241	+	10.1194i	0.367309	+	0.636198i
$254$	0.113461	−	0.135217i	0.00711915	−	0.00848428i
$255$	10.5296	−	4.01959i	0.659389	−	0.251716i
$256$	0.173648	+	0.984808i	0.0108530	+	0.0615505i
$257$	−2.78032	+	2.33296i	−0.173431	+	0.145526i	−0.725372	−	0.688357i	$-0.758332\pi$
$257$	−2.78032	+	2.33296i	−0.173431	+	0.145526i	0.551940	+	0.833884i	$0.313888\pi$
$258$	11.0072	−	13.5414i	0.685278	−	0.843052i
$259$	−5.67821	+	4.74318i	−0.352827	+	0.294727i
$260$	−2.01099	+	1.16104i	−0.124716	+	0.0720049i
$261$	4.91746	−	14.9459i	0.304383	−	0.925128i
$262$		−	1.89102i		−	0.116828i
$263$	−15.0753	−	2.65819i	−0.929584	−	0.163911i	−0.311700	−	0.950180i	$-0.600899\pi$
$263$	−15.0753	−	2.65819i	−0.929584	−	0.163911i	−0.617883	+	0.786270i	$0.712010\pi$
$264$	2.16206	−	3.88349i	0.133066	−	0.239012i
$265$	0.573805	−	0.101177i	0.0352486	−	0.00621527i
$266$	−7.21857	+	12.4392i	−0.442599	+	0.762695i
$267$	−5.60601	−	29.1282i	−0.343082	−	1.78262i
$268$	1.77135	−	10.0459i	0.108203	−	0.613648i
$269$	−7.98475	−	13.8300i	−0.486839	−	0.843230i	0.513047	−	0.858361i	$-0.328517\pi$
$269$	−7.98475	−	13.8300i	−0.486839	−	0.843230i	−0.999886	+	0.0151309i	$0.995183\pi$
$270$	−0.422905	−	9.02850i	−0.0257372	−	0.549457i
$271$	−19.9896	−	11.5410i	−1.21428	−	0.701065i	−0.250591	−	0.968093i	$-0.580625\pi$
$271$	−19.9896	−	11.5410i	−1.21428	−	0.701065i	−0.963689	+	0.267028i	$0.913958\pi$
$272$	3.51534	−	1.27948i	0.213149	−	0.0775799i
$273$	−0.0818875	−	6.11701i	−0.00495606	−	0.370219i
$274$	4.09086	−	3.43264i	0.247138	−	0.207373i
$275$	1.73286	−	4.76099i	0.104495	−	0.287099i
$276$	6.89076	+	3.83630i	0.414775	+	0.230918i
$277$	−4.26631	+	24.1955i	−0.256338	+	1.45376i	0.536277	+	0.844042i	$0.319830\pi$
$277$	−4.26631	+	24.1955i	−0.256338	+	1.45376i	−0.792615	+	0.609722i	$0.791281\pi$
$278$	1.48618	+	2.57414i	0.0891351	+	0.154387i
$279$	8.67478	−	5.37605i	0.519346	−	0.321856i
$280$	4.53043	+	0.809194i	0.270745	+	0.0483586i
$281$	−31.8436	−	5.61488i	−1.89963	−	0.334956i	−0.903936	−	0.427667i	$-0.859335\pi$
$281$	−31.8436	−	5.61488i	−1.89963	−	0.334956i	−0.995693	+	0.0927115i	$0.970447\pi$
$282$	−14.9467	−	2.39570i	−0.890065	−	0.142662i
$283$	−3.25082	+	0.573208i	−0.193241	+	0.0340737i	−0.269431	−	0.963020i	$-0.586836\pi$
$283$	−3.25082	+	0.573208i	−0.193241	+	0.0340737i	0.0761897	+	0.997093i	$0.475725\pi$
$284$	−6.92387	+	1.22087i	−0.410856	+	0.0724450i
$285$	−16.1708	−	2.59189i	−0.957876	−	0.153531i
$286$	3.37372	+	0.594878i	0.199492	+	0.0351759i
$287$	−15.4238	+	5.57511i	−0.910436	+	0.329088i
$288$	−0.0935987	−	2.99854i	−0.00551536	−	0.176691i
$289$	1.50265	+	2.60267i	0.0883913	+	0.153098i
$290$	−1.58416	+	8.98424i	−0.0930253	+	0.527573i
$291$	−1.15341	−	0.642138i	−0.0676140	−	0.0376428i
$292$	−5.04597	+	13.8637i	−0.295293	+	0.811310i
$293$	12.2646	−	10.2912i	0.716506	−	0.601220i	−0.209910	−	0.977721i	$-0.567317\pi$
$293$	12.2646	−	10.2912i	0.716506	−	0.601220i	0.926416	+	0.376500i	$0.122873\pi$
$294$	−7.68916	+	9.37426i	−0.448441	+	0.546718i
$295$	10.3452	−	3.76533i	0.602319	−	0.219226i
$296$	−2.42177	−	1.39821i	−0.140763	−	0.0812694i
$297$	−8.08380	+	10.6045i	−0.469070	+	0.615337i
$298$	−5.25879	−	9.10849i	−0.304633	−	0.527641i
$299$	−1.05553	+	5.98624i	−0.0610432	+	0.346193i
$300$	−0.646288	−	3.35804i	−0.0373135	−	0.193876i
$301$	−13.2770	−	23.1146i	−0.765275	−	1.33231i
$302$	−1.20111	+	0.211789i	−0.0691163	+	0.0121871i
$303$	13.4655	−	24.1868i	0.773575	−	1.38950i
$304$	−5.35329	−	0.943929i	−0.307032	−	0.0541381i
$305$		−	18.1344i		−	1.03838i
$306$	−10.9862	+	2.29271i	−0.628037	+	0.131065i
$307$	−9.06903	+	5.23601i	−0.517597	+	0.298835i	−0.735951	−	0.677035i	$-0.763265\pi$
$307$	−9.06903	+	5.23601i	−0.517597	+	0.298835i	0.218354	+	0.975870i	$0.429931\pi$
$308$	−4.35267	−	5.21072i	−0.248016	−	0.296908i
$309$	−1.18789	+	1.46139i	−0.0675769	+	0.0831354i
$310$	−4.53294	+	3.80359i	−0.257454	+	0.216029i
$311$	−0.829238	−	4.70284i	−0.0470218	−	0.266674i	0.952229	−	0.305386i	$-0.0987855\pi$
$311$	−0.829238	−	4.70284i	−0.0470218	−	0.266674i	−0.999250	+	0.0387124i	$0.987674\pi$
$312$	2.16017	−	0.824629i	0.122296	−	0.0466854i
$313$	10.7435	−	12.8035i	0.607256	−	0.723699i	−0.371567	−	0.928406i	$-0.621180\pi$
$313$	10.7435	−	12.8035i	0.607256	−	0.723699i	0.978823	+	0.204707i	$0.0656240\pi$
$314$	11.0434	+	19.1277i	0.623215	+	1.07944i
$315$	−13.1052	−	4.34404i	−0.738393	−	0.244759i
$316$	6.29485	−	10.9030i	0.354113	−	0.613342i
$317$	11.0272	+	30.2971i	0.619351	+	1.70165i	0.708569	+	0.705642i	$0.249341\pi$
$317$	11.0272	+	30.2971i	0.619351	+	1.70165i	−0.0892172	+	0.996012i	$0.528437\pi$
$318$	−0.580111	+	0.00905181i	−0.0325310	+	0.000507600i
$319$	10.3101	−	8.65120i	0.577255	−	0.484374i
$320$	0.302051	+	1.71302i	0.0168852	+	0.0957605i
$321$	−5.19292	−	5.99615i	−0.289840	−	0.334672i
$322$	9.24576	−	7.72326i	0.515246	−	0.430400i
$323$			20.3353i			1.13149i
$324$	−1.00700	+	8.94349i	−0.0559444	+	0.496860i
$325$	2.28256	−	1.31784i	0.126614	−	0.0731004i
$326$	8.81814	−	10.5090i	0.488391	−	0.582042i
$327$	0.304406	+	1.58166i	0.0168337	+	0.0874659i
$328$	−3.98450	−	4.74854i	−0.220007	−	0.262194i
$329$	−11.6058	+	19.9994i	−0.639850	+	1.10260i
$330$	3.76077	−	6.75510i	0.207024	−	0.371856i
$331$	−29.9531	+	10.9020i	−1.64637	+	0.599230i	−0.988136	−	0.153583i	$-0.950919\pi$
$331$	−29.9531	+	10.9020i	−1.64637	+	0.599230i	−0.658235	+	0.752813i	$0.728697\pi$
$332$	−11.3196			−0.621242
$333$	6.59167	+	5.18939i	0.361221	+	0.284377i
$334$		−	4.53627i		−	0.248213i
$335$	3.08117	−	17.4742i	0.168342	−	0.954716i
$336$	−4.32681	−	1.50955i	−0.236047	−	0.0823528i
$337$	20.4924	+	7.45862i	1.11629	+	0.406297i	0.833297	−	0.552825i	$-0.186450\pi$
$337$	20.4924	+	7.45862i	1.11629	+	0.406297i	0.282994	+	0.959122i	$0.408672\pi$
$338$	−7.21071	−	8.59339i	−0.392211	−	0.467419i
$339$	−10.2605	−	1.64459i	−0.557277	−	0.0893216i
$340$	6.11473	−	2.22558i	0.331618	−	0.120699i
$341$	8.72981			0.472746
$342$	15.4907	+	5.09671i	0.837641	+	0.275599i
$343$	9.15329	+	16.1002i	0.494231	+	0.869331i
$344$	6.47621	−	7.71804i	0.349174	−	0.416129i
$345$	11.9861	+	6.67302i	0.645308	+	0.359263i
$346$	−2.68095	−	3.19504i	−0.144129	−	0.171766i
$347$	8.83906	−	24.2851i	0.474506	−	1.30369i	−0.439591	−	0.898198i	$-0.644877\pi$
$347$	8.83906	−	24.2851i	0.474506	−	1.30369i	0.914097	−	0.405496i	$-0.132901\pi$
$348$	2.97338	−	8.58367i	0.159390	−	0.460133i
$349$	0.509270	+	1.39921i	0.0272606	+	0.0748979i	0.952576	−	0.304299i	$-0.0984224\pi$
$349$	0.509270	+	1.39921i	0.0272606	+	0.0748979i	−0.925316	+	0.379197i	$0.876200\pi$
$350$	−5.14224	−	0.918472i	−0.274864	−	0.0490944i
$351$	−6.76744	+	1.52285i	−0.361219	+	0.0812840i
$352$	1.28309	−	2.22238i	0.0683892	−	0.118454i
$353$	−6.26710	−	5.25872i	−0.333564	−	0.279894i	0.460586	−	0.887615i	$-0.347639\pi$
$353$	−6.26710	−	5.25872i	−0.333564	−	0.279894i	−0.794150	+	0.607721i	$0.792084\pi$
$354$	−10.7648	+	2.07179i	−0.572141	+	0.110114i
$355$	−12.0437	+	2.12362i	−0.639211	+	0.112710i
$356$	−2.97386	−	16.8656i	−0.157614	−	0.893875i
$357$	−2.75063	+	16.9211i	−0.145579	+	0.895558i
$358$	−12.6140	−	10.5844i	−0.666670	−	0.559402i
$359$	16.1911	−	9.34791i	0.854532	−	0.493364i	−0.00764571	−	0.999971i	$-0.502434\pi$
$359$	16.1911	−	9.34791i	0.854532	−	0.493364i	0.862177	+	0.506607i	$0.169100\pi$
$360$	−0.162809	−	5.21578i	−0.00858081	−	0.274896i
$361$	5.27436	−	9.13546i	0.277598	−	0.480813i
$362$	6.35082	+	5.32897i	0.333792	+	0.280084i
$363$	7.14363	−	2.72702i	0.374943	−	0.143131i
$364$	0.00782779	−	3.53197i	0.000410288	−	0.185125i
$365$	−8.77716	+	24.1151i	−0.459418	+	1.26224i
$366$	−2.85781	+	17.8298i	−0.149380	+	0.931980i
$367$	4.31411	+	11.8529i	0.225195	+	0.618717i	0.999908	−	0.0135959i	$-0.00432783\pi$
$367$	4.31411	+	11.8529i	0.225195	+	0.618717i	−0.774713	+	0.632313i	$0.782106\pi$
$368$	3.94334	+	2.27669i	0.205561	+	0.118681i
$369$	9.79611	+	15.8070i	0.509965	+	0.822878i
$370$	−4.21253	−	2.43211i	−0.218999	−	0.126439i
$371$	−0.304958	+	0.832121i	−0.0158326	+	0.0432016i
$372$	5.05620	−	3.02535i	0.262152	−	0.156857i
$373$	−12.5165	−	4.55565i	−0.648082	−	0.235883i	−0.00299952	−	0.999996i	$-0.500955\pi$
$373$	−12.5165	−	4.55565i	−0.648082	−	0.235883i	−0.645082	+	0.764113i	$0.723177\pi$
$374$	−9.02103	−	3.28339i	−0.466466	−	0.169780i
$375$	−3.97115	−	20.6336i	−0.205069	−	1.06552i
$376$	−8.60687	−	1.51762i	−0.443866	−	0.0782655i
$377$	7.00147			0.360594
$378$	12.2005	+	6.33632i	0.627524	+	0.325905i
$379$	10.2397			0.525979			0.262989	−	0.964799i	$-0.415292\pi$
$379$	10.2397			0.525979			0.262989	+	0.964799i	$0.415292\pi$
$380$	−9.31173	−	1.64191i	−0.477682	−	0.0842282i
$381$	−0.231108	+	0.200150i	−0.0118400	+	0.0102540i
$382$	−2.90835	−	1.05855i	−0.148804	−	0.0541604i
$383$	31.9801	+	11.6398i	1.63411	+	0.594767i	0.985995	−	0.166777i	$-0.0533359\pi$
$383$	31.9801	+	11.6398i	1.63411	+	0.594767i	0.648114	+	0.761544i	$0.275558\pi$
$384$	−0.0270229	−	1.73184i	−0.00137901	−	0.0883776i
$385$	−7.57121	−	9.06374i	−0.385865	−	0.461931i
$386$	−17.0071	−	9.81907i	−0.865640	−	0.499778i
$387$	−22.5367	+	20.1416i	−1.14560	+	1.02385i
$388$	−0.660055	−	0.381083i	−0.0335092	−	0.0193466i
$389$	6.73596	+	18.5069i	0.341527	+	0.938337i	0.984952	+	0.172828i	$0.0552904\pi$
$389$	6.73596	+	18.5069i	0.341527	+	0.938337i	−0.643425	+	0.765509i	$0.722487\pi$
$390$	3.75750	−	1.43439i	0.190268	−	0.0726333i
$391$	5.82595	−	16.0067i	0.294631	−	0.809492i
$392$	−4.52324	+	5.34231i	−0.228458	+	0.269828i
$393$	−0.518363	+	3.23406i	−0.0261480	+	0.163137i
$394$	12.0466	+	10.1083i	0.606899	+	0.509249i
$395$	10.9495	−	18.9651i	0.550931	−	0.954240i
$396$	−4.76214	+	6.04897i	−0.239306	+	0.303972i
$397$	2.75236	−	1.58907i	0.138137	−	0.0797533i	−0.429339	−	0.903143i	$-0.641253\pi$
$397$	2.75236	−	1.58907i	0.138137	−	0.0797533i	0.567476	+	0.823390i	$0.307920\pi$
$398$	−6.04796	−	5.07484i	−0.303157	−	0.254379i
$399$	15.7552	−	19.2950i	0.788745	−	0.965959i
$400$	−0.342841	−	1.94435i	−0.0171421	−	0.0972175i
$401$	30.3061	−	5.34379i	1.51342	−	0.266856i	0.645575	−	0.763697i	$-0.276618\pi$
$401$	30.3061	−	5.34379i	1.51342	−	0.266856i	0.867842	+	0.496841i	$0.165507\pi$
$402$	−5.78316	+	16.6951i	−0.288438	+	0.832675i
$403$	3.47888	+	2.91912i	0.173295	+	0.145412i
$404$	7.99126	−	13.8413i	0.397580	−	0.688628i
$405$	−1.75162	+	15.5567i	−0.0870386	+	0.773017i
$406$	−10.6100	−	8.94296i	−0.526563	−	0.443832i
$407$	2.45439	+	6.74338i	0.121660	+	0.334257i
$408$	−6.36274	+	1.22457i	−0.315003	+	0.0606255i
$409$	0.204996	−	0.563222i	0.0101364	−	0.0278495i	−0.934521	−	0.355907i	$-0.884172\pi$
$409$	0.204996	−	0.563222i	0.0101364	−	0.0278495i	0.944658	+	0.328058i	$0.106394\pi$
$410$	−6.93080	−	8.25981i	−0.342288	−	0.407923i
$411$	−7.93722	+	4.74919i	−0.391514	+	0.234260i
$412$	−0.698910	+	0.832929i	−0.0344328	+	0.0410355i
$413$	−2.94432	+	16.4843i	−0.144880	+	0.811141i
$414$	−10.7331	−	8.44981i	−0.527504	−	0.415285i
$415$	−19.6897			−0.966530
$416$	1.25445	−	0.456584i	0.0615046	−	0.0223859i
$417$	−1.83608	−	4.80974i	−0.0899131	−	0.235534i
$418$	8.96655	+	10.6859i	0.438568	+	0.522665i
$419$	−26.0585	−	9.48450i	−1.27304	−	0.463348i	−0.384915	−	0.922952i	$-0.625769\pi$
$419$	−26.0585	−	9.48450i	−1.27304	−	0.463348i	−0.888124	+	0.459604i	$0.847991\pi$
$420$	−7.52623	−	2.62578i	−0.367242	−	0.128125i
$421$	−4.05303	+	22.9859i	−0.197533	+	1.12026i	0.711233	+	0.702956i	$0.248137\pi$
$421$	−4.05303	+	22.9859i	−0.197533	+	1.12026i	−0.908766	+	0.417307i	$0.862974\pi$
$422$		−	18.6207i		−	0.906444i
$423$	24.9055	+	8.19436i	1.21095	+	0.398423i
$424$	−0.334968			−0.0162675
$425$	−6.94050	+	2.52613i	−0.336663	+	0.122535i
$426$	12.1760	−	0.189989i	0.589930	−	0.00920502i
$427$	23.8571	+	13.8445i	1.15452	+	0.669981i
$428$	−2.94376	−	3.50823i	−0.142292	−	0.169577i
$429$	−5.60674	−	1.94217i	−0.270696	−	0.0937689i
$430$	11.2650	−	13.4251i	0.543246	−	0.647415i
$431$	32.1771	−	18.5774i	1.54992	−	0.894844i	0.551768	−	0.833998i	$-0.313953\pi$
$431$	32.1771	−	18.5774i	1.54992	−	0.894844i	0.998147	−	0.0608465i	$-0.0193800\pi$
$432$	−0.661881	+	5.15383i	−0.0318447	+	0.247964i
$433$			32.9842i			1.58512i	0.609793	+	0.792561i	$0.291252\pi$
$433$			32.9842i			1.58512i	−0.609793	+	0.792561i	$0.708748\pi$
$434$	−1.54327	−	8.86718i	−0.0740792	−	0.425638i
$435$	5.17202	−	14.9308i	0.247979	−	0.715877i
$436$	0.161481	+	0.915802i	0.00773352	+	0.0438590i
$437$	−18.9608	+	15.9100i	−0.907018	+	0.761079i
$438$	12.4300	−	22.3268i	0.593929	−	1.06681i
$439$	−6.91069	−	18.9870i	−0.329829	−	0.906198i	−0.988154	−	0.153464i	$-0.950957\pi$
$439$	−6.91069	−	18.9870i	−0.329829	−	0.906198i	0.658325	−	0.752734i	$-0.271265\pi$
$440$	2.23187	−	3.86571i	0.106400	−	0.184290i
$441$	15.7198	−	13.9243i	0.748563	−	0.663063i
$442$	−2.49701	−	4.32495i	−0.118771	−	0.205717i
$443$	−12.2847	+	14.6404i	−0.583666	+	0.695586i	−0.974375	−	0.224928i	$-0.927785\pi$
$443$	−12.2847	+	14.6404i	−0.583666	+	0.695586i	0.390710	+	0.920514i	$0.372230\pi$
$444$	3.75849	+	3.05511i	0.178370	+	0.144989i
$445$	−5.17286	−	29.3367i	−0.245217	−	1.39069i
$446$	18.3731	−	15.4168i	0.869990	−	0.730008i
$447$	6.49689	+	17.0191i	0.307292	+	0.804974i
$448$	−2.48418	−	0.910408i	−0.117367	−	0.0430127i
$449$	16.2076	−	9.35746i	0.764883	−	0.441606i	−0.0661629	−	0.997809i	$-0.521076\pi$
$449$	16.2076	−	9.35746i	0.764883	−	0.441606i	0.831046	+	0.556203i	$0.187742\pi$
$450$	0.184796	+	5.92015i	0.00871137	+	0.279079i
$451$			15.9072i			0.749043i
$452$	−5.90840	−	1.04181i	−0.277908	−	0.0490026i
$453$	2.11222	−	0.0329583i	0.0992409	−	0.00154851i
$454$	−8.07241	+	1.42338i	−0.378857	+	0.0668027i
$455$	0.0136160	−	6.14365i	0.000638327	−	0.288019i
$456$	8.89657	+	3.08176i	0.416620	+	0.144317i
$457$	−5.37266	+	30.4699i	−0.251322	+	1.42532i	0.554016	+	0.832506i	$0.313095\pi$
$457$	−5.37266	+	30.4699i	−0.251322	+	1.42532i	−0.805339	+	0.592815i	$0.798017\pi$
$458$	3.39387	+	5.87836i	0.158585	+	0.274678i
$459$	19.4172	−	0.909526i	0.906320	−	0.0424531i
$460$	6.85921	+	3.96017i	0.319812	+	0.184644i
$461$	−8.18005	+	2.97730i	−0.380983	+	0.138667i	−0.525410	−	0.850849i	$-0.676088\pi$
$461$	−8.18005	+	2.97730i	−0.380983	+	0.138667i	0.144427	+	0.989515i	$0.453866\pi$
$462$	6.01567	+	10.1046i	0.279874	+	0.470110i
$463$	−29.7572	+	24.9693i	−1.38294	+	1.16042i	−0.414824	+	0.909902i	$0.636157\pi$
$463$	−29.7572	+	24.9693i	−1.38294	+	1.16042i	−0.968112	+	0.250519i	$0.919399\pi$
$464$	1.79379	−	4.92840i	0.0832747	−	0.228795i
$465$	8.79497	−	5.26242i	0.407857	−	0.244039i
$466$	−0.0429354	+	0.243499i	−0.00198894	+	0.0112799i
$467$	13.5999	+	23.5557i	0.629328	+	1.09003i	0.987687	+	0.156444i	$0.0500030\pi$
$467$	13.5999	+	23.5557i	0.629328	+	1.09003i	−0.358359	+	0.933584i	$0.616664\pi$
$468$	−3.92042	+	0.818155i	−0.181222	+	0.0378192i
$469$	20.6362	+	17.3939i	0.952889	+	0.803174i
$470$	−14.9712	−	2.63982i	−0.690568	−	0.121766i
$471$	−13.6434	−	35.7399i	−0.628655	−	1.64681i
$472$	−6.23295	+	1.09904i	−0.286895	+	0.0505873i
$473$	−25.4620	+	4.48965i	−1.17075	+	0.206434i
$474$	−13.7543	+	16.9210i	−0.631756	+	0.777208i
$475$	10.5692	+	1.86364i	0.484950	+	0.0855098i
$476$	−1.74030	+	9.74342i	−0.0797666	+	0.446589i
$477$	0.994600	+	0.143539i	0.0455396	+	0.00657218i
$478$	−12.7334	−	22.0550i	−0.582414	−	1.00877i
$479$	1.29386	−	7.33785i	0.0591180	−	0.335275i	−0.940876	−	0.338751i	$-0.889995\pi$
$479$	1.29386	−	7.33785i	0.0591180	−	0.335275i	0.999994	+	0.00347632i	$0.00110655\pi$
$480$	−0.0470048	−	3.01243i	−0.00214546	−	0.137498i
$481$	−1.27680	+	3.50798i	−0.0582171	+	0.159950i
$482$	−18.7526	+	15.7353i	−0.854159	+	0.716725i
$483$	−17.9294	+	10.6740i	−0.815815	+	0.485686i
$484$	4.14844	−	1.50991i	0.188565	−	0.0686321i
$485$	−1.14813	−	0.662871i	−0.0521338	−	0.0300994i
$486$	4.17377	−	15.0193i	0.189326	−	0.681290i
$487$	−16.7964	−	29.0922i	−0.761117	−	1.31829i	−0.942275	−	0.334839i	$-0.891318\pi$
$487$	−16.7964	−	29.0922i	−0.761117	−	1.31829i	0.181159	−	0.983454i	$-0.442015\pi$
$488$	−1.81036	+	10.2671i	−0.0819511	+	0.464768i
$489$	−17.9617	+	15.5556i	−0.812256	+	0.703448i
$490$	−7.86791	+	9.29264i	−0.355436	+	0.419799i
$491$	11.5318	−	2.03337i	0.520424	−	0.0917647i	0.0927349	−	0.995691i	$-0.470439\pi$
$491$	11.5318	−	2.03337i	0.520424	−	0.0917647i	0.427689	+	0.903926i	$0.359328\pi$
$492$	5.51271	+	9.21328i	0.248532	+	0.415367i
$493$	−19.3221	−	3.40700i	−0.870222	−	0.153444i
$494$			7.25668i			0.326494i
$495$	−8.28346	+	10.5218i	−0.372314	+	0.472921i
$496$	2.94610	−	1.70093i	0.132284	−	0.0763740i
$497$	6.40079	−	17.4655i	0.287115	−	0.783434i
$498$	19.3590	+	3.10290i	0.867496	+	0.139044i
$499$	−28.5988	+	23.9972i	−1.28026	+	1.07426i	−0.287049	+	0.957916i	$0.592674\pi$
$499$	−28.5988	+	23.9972i	−1.28026	+	1.07426i	−0.993208	+	0.116348i	$0.962881\pi$
$500$	−2.10661	−	11.9472i	−0.0942103	−	0.534293i
$501$	−1.24347	+	7.75802i	−0.0555543	+	0.346603i
$502$	5.64459	−	6.72696i	0.251930	−	0.300239i
$503$	−13.4928	−	23.3703i	−0.601616	−	1.04203i	−0.992576	−	0.121622i	$-0.961190\pi$
$503$	−13.4928	−	23.3703i	−0.601616	−	1.04203i	0.390960	−	0.920407i	$-0.372143\pi$
$504$	6.98600	+	3.76773i	0.311181	+	0.167828i
$505$	13.9003	−	24.0761i	0.618556	−	1.07137i
$506$	−3.99645	−	10.9801i	−0.177664	−	0.488127i
$507$	9.97631	+	16.6732i	0.443064	+	0.740483i
$508$	−0.135217	+	0.113461i	−0.00599929	+	0.00503400i
$509$	−0.762008	−	4.32156i	−0.0337754	−	0.191550i	0.963252	−	0.268600i	$-0.0865610\pi$
$509$	−0.762008	−	4.32156i	−0.0337754	−	0.191550i	−0.997027	+	0.0770501i	$0.975450\pi$
$510$	−11.0676	+	2.13007i	−0.490082	+	0.0943213i
$511$	−25.0242	−	29.9572i	−1.10700	−	1.32523i
$512$		−	1.00000i		−	0.0441942i
$513$	−25.0954	−	12.9628i	−1.10799	−	0.572322i
$514$	3.14319	−	1.81472i	0.138640	−	0.0800440i
$515$	−1.21571	+	1.44883i	−0.0535707	+	0.0638431i
$516$	−13.1914	+	11.4243i	−0.580719	+	0.502927i
$517$	14.4162	+	17.1805i	0.634023	+	0.755599i
$518$	6.41559	−	3.68511i	0.281885	−	0.161914i
$519$	3.70921	+	6.19912i	0.162816	+	0.272111i
$520$	2.18205	−	0.794201i	0.0956891	−	0.0348280i
$521$	30.1518			1.32098			0.660488	−	0.750837i	$-0.270350\pi$
$521$	30.1518			1.32098			0.660488	+	0.750837i	$0.270350\pi$
$522$	−7.43808	+	13.8649i	−0.325556	+	0.606851i
$523$		−	30.2862i		−	1.32432i	−0.749361	−	0.662162i	$-0.769639\pi$
$523$		−	30.2862i		−	1.32432i	0.749361	−	0.662162i	$-0.230361\pi$
$524$	−0.328372	+	1.86229i	−0.0143450	+	0.0813545i
$525$	8.54261	+	2.98037i	0.372830	+	0.130074i
$526$	14.3847	+	5.23560i	0.627203	+	0.228283i
$527$	−8.18023	−	9.74882i	−0.356336	−	0.424665i
$528$	−2.80357	+	3.44905i	−0.122010	+	0.150101i
$529$	−2.13006	+	0.775278i	−0.0926112	+	0.0337077i
$530$	−0.582657			−0.0253090
$531$	18.9781	−	0.592395i	0.823577	−	0.0257078i
$532$	9.26895	−	10.9967i	0.401860	−	0.476768i
$533$	−5.31915	+	6.33912i	−0.230398	+	0.274578i
$534$	0.462789	+	29.6591i	0.0200268	+	1.28348i
$535$	−5.12049	−	6.10237i	−0.221378	−	0.263828i
$536$	−3.48889	+	9.58564i	−0.150697	+	0.414037i
$537$	18.6713	+	21.5594i	0.805727	+	0.930356i
$538$	5.46189	+	15.0064i	0.235479	+	0.646973i
$539$	17.7041	−	3.04085i	0.762568	−	0.130979i
$540$	−1.15130	+	8.96478i	−0.0495442	+	0.385783i
$541$	14.0590	−	24.3509i	0.604445	−	1.04693i	−0.387694	−	0.921788i	$-0.626728\pi$
$541$	14.0590	−	24.3509i	0.604445	−	1.04693i	0.992139	−	0.125141i	$-0.0399383\pi$
$542$	17.6818	+	14.8368i	0.759499	+	0.637295i
$543$	−9.40054	−	10.8546i	−0.403416	−	0.465815i
$544$	−3.68412	+	0.649609i	−0.157955	+	0.0278518i
$545$	0.280886	+	1.59298i	0.0120318	+	0.0682359i
$546$	−0.981565	+	6.03830i	−0.0420071	+	0.258416i
$547$	−25.3025	−	21.2313i	−1.08186	−	0.907784i	−0.0857815	−	0.996314i	$-0.527339\pi$
$547$	−25.3025	−	21.2313i	−1.08186	−	0.907784i	−0.996074	+	0.0885298i	$0.971783\pi$
$548$	−4.62478	+	2.67012i	−0.197561	+	0.114062i
$549$	9.77497	−	29.7096i	0.417186	−	1.26797i
$550$	−2.53327	+	4.38775i	−0.108019	+	0.187094i
$551$	21.8395	+	18.3255i	0.930396	+	0.780695i
$552$	−6.11990	−	4.97458i	−0.260480	−	0.211732i
$553$	16.5906	+	28.8835i	0.705506	+	1.22825i
$554$	8.40300	−	23.0870i	0.357009	−	0.980874i
$555$	6.53768	+	5.31418i	0.277509	+	0.225574i
$556$	−1.01661	−	2.79310i	−0.0431137	−	0.118454i
$557$	25.6428	+	14.8049i	1.08652	+	0.627302i	0.932647	−	0.360789i	$-0.117493\pi$
$557$	25.6428	+	14.8049i	1.08652	+	0.627302i	0.153871	+	0.988091i	$0.450826\pi$
$558$	−9.47653	+	3.78802i	−0.401174	+	0.160360i
$559$	−11.6480	−	6.72499i	−0.492659	−	0.284437i
$560$	−4.32109	−	1.58360i	−0.182599	−	0.0669194i
$561$	14.5279	+	8.08815i	0.613370	+	0.341482i
$562$	30.3848	+	11.0592i	1.28171	+	0.466503i
$563$	−18.5535	−	6.75291i	−0.781936	−	0.284601i	−0.0799561	−	0.996798i	$-0.525478\pi$
$563$	−18.5535	−	6.75291i	−0.781936	−	0.284601i	−0.701980	+	0.712197i	$0.747700\pi$
$564$	14.3037	+	4.95478i	0.602293	+	0.208634i
$565$	−10.2773	−	1.81217i	−0.432370	−	0.0762384i
$566$	3.30097			0.138750
$567$	−19.1286	−	14.1809i	−0.803325	−	0.595541i
$568$	7.03068			0.295001
$569$	−38.1684	−	6.73013i	−1.60010	−	0.282142i	−0.698796	−	0.715321i	$-0.746281\pi$
$569$	−38.1684	−	6.73013i	−1.60010	−	0.282142i	−0.901308	+	0.433179i	$0.857392\pi$
$570$	15.4751	+	5.36055i	0.648179	+	0.224529i
$571$	−20.9653	−	7.63075i	−0.877371	−	0.319337i	−0.136223	−	0.990678i	$-0.543496\pi$
$571$	−20.9653	−	7.63075i	−0.877371	−	0.319337i	−0.741148	+	0.671341i	$0.765719\pi$
$572$	−3.21917	−	1.17168i	−0.134600	−	0.0489904i
$573$	4.68376	+	2.60760i	0.195667	+	0.108934i
$574$	16.1575	−	2.81210i	0.674403	−	0.117375i
$575$	−7.78551	−	4.49497i	−0.324678	−	0.187453i
$576$	−0.428514	+	2.96924i	−0.0178548	+	0.123718i
$577$	−1.46171	−	0.843919i	−0.0608518	−	0.0351328i	0.469265	−	0.883057i	$-0.344519\pi$
$577$	−1.46171	−	0.843919i	−0.0608518	−	0.0351328i	−0.530117	+	0.847924i	$0.677852\pi$
$578$	−1.02787	−	2.82406i	−0.0427539	−	0.117465i
$579$	26.3944	+	21.4548i	1.09691	+	0.891630i
$580$	3.12019	−	8.57266i	0.129559	−	0.355960i
$581$	15.0318	−	25.9031i	0.623625	−	1.07464i
$582$	1.02438	+	0.832670i	0.0424619	+	0.0345153i
$583$	0.658485	+	0.552535i	0.0272717	+	0.0228836i
$584$	7.37671	−	12.7768i	0.305250	−	0.528709i
$585$	−6.81935	+	1.42313i	−0.281945	+	0.0588393i
$586$	−13.8653	+	8.00516i	−0.572772	+	0.330690i
$587$	24.1508	+	20.2649i	0.996811	+	0.836424i	0.986539	−	0.163523i	$-0.0522859\pi$
$587$	24.1508	+	20.2649i	0.996811	+	0.836424i	0.0102718	+	0.999947i	$0.496730\pi$
$588$	9.20017	−	7.89664i	0.379409	−	0.325652i
$589$	3.21111	+	18.2111i	0.132312	+	0.750377i
$590$	−10.8418	+	1.91171i	−0.446352	+	0.0787038i
$591$	−17.8315	−	20.5896i	−0.733490	−	0.846945i
$592$	2.14218	+	1.79751i	0.0880432	+	0.0738771i
$593$	−13.0874	+	22.6681i	−0.537436	+	0.930867i	0.461605	+	0.887086i	$0.347274\pi$
$593$	−13.0874	+	22.6681i	−0.537436	+	0.930867i	−0.999041	+	0.0437813i	$0.986060\pi$
$594$	9.80244	−	9.03968i	0.402199	−	0.370903i
$595$	−3.02715	+	16.9481i	−0.124101	+	0.694805i
$596$	3.59722	+	9.88329i	0.147348	+	0.404835i
$597$	8.95225	+	10.3370i	0.366391	+	0.423064i
$598$	2.07900	−	5.71200i	0.0850165	−	0.233581i
$599$	−2.71686	−	3.23782i	−0.111008	−	0.132294i	0.707679	−	0.706534i	$-0.249742\pi$
$599$	−2.71686	−	3.23782i	−0.111008	−	0.132294i	−0.818687	+	0.574240i	$0.805298\pi$
$600$	0.0533525	+	3.41925i	0.00217811	+	0.139590i
$601$	−14.3629	+	17.1170i	−0.585875	+	0.698218i	−0.974808	−	0.223048i	$-0.928399\pi$
$601$	−14.3629	+	17.1170i	−0.585875	+	0.698218i	0.388933	+	0.921266i	$0.372844\pi$
$602$	9.06150	+	25.0690i	0.369319	+	1.02174i
$603$	14.4669	−	26.9670i	0.589139	−	1.09818i
$604$	1.21964			0.0496265
$605$	7.21596	−	2.62639i	0.293371	−	0.106778i
$606$	−17.4610	+	21.4811i	−0.709303	+	0.872609i
$607$	4.08350	+	4.86652i	0.165744	+	0.197526i	0.842523	−	0.538660i	$-0.181069\pi$
$607$	4.08350	+	4.86652i	0.165744	+	0.197526i	−0.676779	+	0.736186i	$0.736625\pi$
$608$	5.10805	+	1.85918i	0.207159	+	0.0753996i
$609$	15.6940	+	18.2028i	0.635951	+	0.737616i
$610$	−3.14901	+	17.8589i	−0.127500	+	0.723088i
$611$			11.6671i			0.472000i
$612$	11.2174	−	0.350148i	0.453436	−	0.0141539i
$613$	12.8271			0.518080			0.259040	−	0.965867i	$-0.416594\pi$
$613$	12.8271			0.518080			0.259040	+	0.965867i	$0.416594\pi$
$614$	9.84048	−	3.58164i	0.397129	−	0.144543i
$615$	9.58904	+	16.0260i	0.386668	+	0.646229i
$616$	3.38171	+	5.88739i	0.136253	+	0.237210i
$617$	−16.7584	−	19.9719i	−0.674668	−	0.804038i	0.314743	−	0.949177i	$-0.398082\pi$
$617$	−16.7584	−	19.9719i	−0.674668	−	0.804038i	−0.989411	+	0.145139i	$0.953637\pi$
$618$	1.42361	−	1.23291i	0.0572661	−	0.0495949i
$619$	9.72717	−	11.5924i	0.390968	−	0.465937i	−0.534276	−	0.845310i	$-0.679416\pi$
$619$	9.72717	−	11.5924i	0.390968	−	0.465937i	0.925244	+	0.379373i	$0.123860\pi$
$620$	5.12456	−	2.95867i	0.205807	−	0.118823i
$621$	16.0398	+	17.3932i	0.643654	+	0.697965i
$622$			4.77539i			0.191476i
$623$	42.5436	+	15.5915i	1.70447	+	0.624658i
$624$	−2.27055	+	0.436991i	−0.0908948	+	0.0174936i
$625$	−1.95011	−	11.0596i	−0.0780044	−	0.442385i
$626$	−12.8035	+	10.7435i	−0.511733	+	0.429395i
$627$	−12.4056	−	20.7332i	−0.495431	−	0.828004i
$628$	−7.55413	−	20.7548i	−0.301443	−	0.828207i
$629$	5.23064	−	9.05973i	0.208559	−	0.361235i
$630$	12.1517	+	6.55374i	0.484137	+	0.261107i
$631$	−12.9612	−	22.4494i	−0.515976	−	0.893697i	−0.999828	−	0.0185468i	$-0.994096\pi$
$631$	−12.9612	−	22.4494i	−0.515976	−	0.893697i	0.483852	−	0.875150i	$-0.339237\pi$
$632$	−8.09251	+	9.64428i	−0.321903	+	0.383629i
$633$	−5.10429	+	31.8456i	−0.202877	+	1.26575i
$634$	−5.59868	−	31.7517i	−0.222352	−	1.26102i
$635$	−0.235202	+	0.197358i	−0.00933372	+	0.00783192i
$636$	0.572870	+	0.0918209i	0.0227158	+	0.00364094i
$637$	8.07199	+	4.70819i	0.319824	+	0.186545i
$638$	−11.6557	+	6.72944i	−0.461455	+	0.266421i
$639$	−20.8758	−	3.01275i	−0.825833	−	0.119182i
$640$		−	1.73944i		−	0.0687574i
$641$	1.40828	+	0.248318i	0.0556239	+	0.00980799i	0.201391	−	0.979511i	$-0.435454\pi$
$641$	1.40828	+	0.248318i	0.0556239	+	0.00980799i	−0.145767	+	0.989319i	$0.546565\pi$
$642$	4.07281	+	6.80680i	0.160741	+	0.268643i
$643$	22.4182	−	3.95294i	0.884088	−	0.155889i	0.286872	−	0.957969i	$-0.407385\pi$
$643$	22.4182	−	3.95294i	0.884088	−	0.155889i	0.597216	+	0.802080i	$0.296273\pi$
$644$	−10.4464	+	6.00041i	−0.411647	+	0.236449i
$645$	−22.9457	+	19.8719i	−0.903485	+	0.782456i
$646$	3.53119	−	20.0264i	0.138933	−	0.787927i
$647$	−19.6718	−	34.0726i	−0.773380	−	1.33953i	−0.935700	−	0.352795i	$-0.885231\pi$
$647$	−19.6718	−	34.0726i	−0.773380	−	1.33953i	0.162320	−	0.986738i	$-0.448102\pi$
$648$	2.54472	−	8.63275i	0.0999661	−	0.339126i
$649$	14.0657	+	8.12083i	0.552127	+	0.318771i
$650$	−2.47672	+	0.901454i	−0.0971451	+	0.0353579i
$651$	0.208673	+	15.5879i	0.00817852	+	0.610937i
$652$	−10.5090	+	8.81814i	−0.411566	+	0.345345i
$653$	−0.00805373	+	0.0221274i	−0.000315167	+	0.000865913i	−0.939850	−	0.341587i	$-0.889036\pi$
$653$	−0.00805373	+	0.0221274i	−0.000315167	+	0.000865913i	0.939535	+	0.342453i	$0.111258\pi$
$654$	−0.0251294	−	1.61049i	−0.000982637	−	0.0629751i
$655$	−0.571184	+	3.23934i	−0.0223180	+	0.126572i
$656$	3.09939	+	5.36830i	0.121011	+	0.209597i
$657$	−27.3783	+	34.7764i	−1.06813	+	1.35676i
$658$	14.9024	−	17.6802i	0.580954	−	0.689247i
$659$	−29.5310	−	5.20711i	−1.15036	−	0.202840i	−0.434229	−	0.900803i	$-0.642979\pi$
$659$	−29.5310	−	5.20711i	−1.15036	−	0.202840i	−0.716134	+	0.697962i	$0.754090\pi$
$660$	−4.87665	+	5.99942i	−0.189823	+	0.233527i
$661$	−24.7766	+	4.36878i	−0.963698	+	0.169926i	−0.633292	−	0.773913i	$-0.718297\pi$
$661$	−24.7766	+	4.36878i	−0.963698	+	0.169926i	−0.330406	+	0.943839i	$0.607186\pi$
$662$	31.3911	−	5.53511i	1.22005	−	0.215128i
$663$	3.08489	+	8.08110i	0.119807	+	0.313844i
$664$	11.1476	+	1.96562i	0.432611	+	0.0762809i
$665$	16.1228	−	19.1281i	0.625215	−	0.741757i
$666$	−5.59040	−	6.25518i	−0.216624	−	0.242383i
$667$	−11.9405	−	20.6816i	−0.462339	−	0.800795i
$668$	−0.787714	+	4.46735i	−0.0304776	+	0.172847i
$669$	−35.6480	+	21.3298i	−1.37823	+	0.824658i
$670$	−6.06871	+	16.6737i	−0.234455	+	0.644160i
$671$	20.4945	−	17.1969i	0.791181	−	0.663880i
$672$	3.99894	+	2.23796i	0.154263	+	0.0863312i
$673$	−6.35201	+	2.31194i	−0.244852	+	0.0891189i	−0.461531	−	0.887124i	$-0.652700\pi$
$673$	−6.35201	+	2.31194i	−0.244852	+	0.0891189i	0.216679	+	0.976243i	$0.430478\pi$
$674$	−18.8859	−	10.9038i	−0.727457	−	0.419998i
$675$	1.30678	−	10.1754i	0.0502980	−	0.391652i
$676$	5.60894	+	9.71497i	0.215728	+	0.373653i
$677$	6.37428	−	36.1503i	0.244983	−	1.38937i	−0.575548	−	0.817768i	$-0.695211\pi$
$677$	6.37428	−	36.1503i	0.244983	−	1.38937i	0.820531	−	0.571602i	$-0.193678\pi$
$678$	9.81909	+	3.40133i	0.377100	+	0.130627i
$679$	1.74857	−	1.00438i	0.0671040	−	0.0385445i
$680$	−6.40830	+	1.12996i	−0.245747	+	0.0433319i
$681$	14.1958	−	0.221505i	0.543984	−	0.00848810i
$682$	−8.59719	−	1.51592i	−0.329203	−	0.0580474i
$683$		−	4.33448i		−	0.165854i	−0.996556	−	0.0829271i	$-0.973573\pi$
$683$		−	4.33448i		−	0.165854i	0.996556	−	0.0829271i	$-0.0264269\pi$
$684$	−14.3703	−	7.70921i	−0.549463	−	0.294769i
$685$	−8.04453	+	4.64451i	−0.307366	+	0.177458i
$686$	−6.21845	−	17.4451i	−0.237422	−	0.666056i
$687$	−4.19291	−	10.9836i	−0.159969	−	0.419051i
$688$	−7.71804	+	6.47621i	−0.294248	+	0.246903i
$689$	0.0776501	+	0.440376i	0.00295823	+	0.0167770i
$690$	−10.6452	−	8.65300i	−0.405256	−	0.329414i
$691$	−6.67853	+	7.95917i	−0.254063	+	0.302781i	−0.877968	−	0.478720i	$-0.841101\pi$
$691$	−6.67853	+	7.95917i	−0.254063	+	0.302781i	0.623904	+	0.781501i	$0.285545\pi$
$692$	2.08541	+	3.61204i	0.0792755	+	0.137309i
$693$	−7.51827	−	18.9302i	−0.285596	−	0.719098i
$694$	−12.9218	+	22.3813i	−0.490507	+	0.849582i
$695$	−1.76833	−	4.85844i	−0.0670765	−	0.184291i
$696$	−4.41875	+	7.93695i	−0.167492	+	0.300849i
$697$	17.7640	−	14.9058i	0.672861	−	0.564598i
$698$	−0.258563	−	1.46638i	−0.00978676	−	0.0555035i
$699$	0.140176	−	0.404667i	0.00530196	−	0.0153059i
$700$	4.90463	+	1.79746i	0.185378	+	0.0679376i
$701$			12.2926i			0.464286i	0.972682	+	0.232143i	$0.0745738\pi$
$701$			12.2926i			0.464286i	−0.972682	+	0.232143i	$0.925426\pi$
$702$	6.92907	−	0.324566i	0.261521	−	0.0122499i
$703$	−13.1645	+	7.60050i	−0.496507	+	0.286658i
$704$	−1.64951	+	1.96581i	−0.0621684	+	0.0740894i
$705$	24.8804	+	8.61854i	0.937049	+	0.324593i
$706$	5.25872	+	6.26710i	0.197915	+	0.235866i
$707$	21.0617	+	36.6673i	0.792105	+	1.37902i
$708$	10.9610	−	0.171031i	0.411939	−	0.00642772i
$709$	−43.6354	+	15.8820i	−1.63876	+	0.596461i	−0.986822	−	0.161809i	$-0.948267\pi$
$709$	−43.6354	+	15.8820i	−1.63876	+	0.596461i	−0.651941	+	0.758270i	$0.726045\pi$
$710$	12.2295			0.458963
$711$	28.1613	−	25.1684i	1.05613	−	0.943889i
$712$			17.1258i			0.641816i
$713$	2.68980	−	15.2546i	0.100734	−	0.571290i
$714$	5.64715	−	16.1864i	0.211339	−	0.605759i
$715$	−5.59955	−	2.03807i	−0.209411	−	0.0762195i
$716$	10.5844	+	12.6140i	0.395557	+	0.471407i
$717$	15.7313	+	41.2093i	0.587497	+	1.53899i
$718$	−17.5683	+	6.39435i	−0.655644	+	0.238635i
$719$	−34.9670			−1.30405			−0.652025	−	0.758197i	$-0.726080\pi$
$719$	−34.9670			−1.30405			−0.652025	+	0.758197i	$0.726080\pi$
$720$	−0.745375	+	5.16482i	−0.0277785	+	0.192481i
$721$	−0.977915	−	2.70544i	−0.0364195	−	0.100756i
$722$	−6.78058	+	8.08079i	−0.252347	+	0.300736i
$723$	36.3845	−	21.7705i	1.35315	−	0.809652i
$724$	−5.32897	−	6.35082i	−0.198050	−	0.236026i
$725$	−3.54156	+	9.73036i	−0.131530	+	0.361376i
$726$	−7.50864	+	1.44511i	−0.278672	+	0.0536332i
$727$	−11.9456	−	32.8202i	−0.443037	−	1.21723i	−0.937485	−	0.348026i	$-0.886852\pi$
$727$	−11.9456	−	32.8202i	−0.443037	−	1.21723i	0.494448	−	0.869207i	$-0.335370\pi$
$728$	−0.621029	+	3.47695i	−0.0230169	+	0.128864i
$729$	−11.2551	+	24.5422i	−0.416857	+	0.908972i
$730$	12.8314	−	22.2246i	0.474910	−	0.822568i
$731$	28.8728	+	24.2272i	1.06790	+	0.896074i
$732$	5.91051	−	17.0627i	0.218459	−	0.630655i
$733$	24.6642	−	4.34897i	0.910994	−	0.160633i	0.301539	−	0.953454i	$-0.402500\pi$
$733$	24.6642	−	4.34897i	0.910994	−	0.160633i	0.609455	+	0.792821i	$0.291388\pi$
$734$	−2.19033	−	12.4220i	−0.0808466	−	0.458504i
$735$	16.0031	−	13.7357i	0.590285	−	0.506650i
$736$	−3.48809	−	2.92685i	−0.128573	−	0.107885i
$737$	22.6702	−	13.0886i	0.835066	−	0.482126i
$738$	−6.90243	−	17.2679i	−0.254082	−	0.635640i
$739$	−11.0249	+	19.0957i	−0.405558	+	0.702448i	−0.994386	−	0.105811i	$-0.966256\pi$
$739$	−11.0249	+	19.0957i	−0.405558	+	0.702448i	0.588828	+	0.808258i	$0.299590\pi$
$740$	3.72620	+	3.12666i	0.136978	+	0.114938i
$741$	1.98919	−	12.4105i	0.0730747	−	0.455912i
$742$	0.444821	−	0.766524i	0.0163299	−	0.0281400i
$743$	11.5694	−	31.7866i	0.424439	−	1.16614i	−0.524702	−	0.851286i	$-0.675823\pi$
$743$	11.5694	−	31.7866i	0.424439	−	1.16614i	0.949141	−	0.314851i	$-0.101955\pi$
$744$	−5.50473	+	2.10139i	−0.201813	+	0.0770406i
$745$	6.25716	+	17.1914i	0.229245	+	0.629844i
$746$	11.5353	+	6.65991i	0.422338	+	0.243837i
$747$	−32.2576	−	10.6133i	−1.18024	−	0.388320i
$748$	8.31383	+	4.79999i	0.303984	+	0.175505i
$749$	11.9372	−	2.07759i	0.436177	−	0.0759134i
$750$	0.327827	+	21.0098i	0.0119706	+	0.767168i
$751$	20.7141	+	7.53932i	0.755869	+	0.275114i	0.691073	−	0.722785i	$-0.257138\pi$
$751$	20.7141	+	7.53932i	0.755869	+	0.275114i	0.0647956	+	0.997899i	$0.479360\pi$
$752$	8.21258	+	2.98914i	0.299482	+	0.109003i
$753$	−11.4975	+	9.95731i	−0.418992	+	0.362865i
$754$	−6.89510	−	1.21579i	−0.251105	−	0.0442765i
$755$	2.12149			0.0772091
$756$	−10.9148	−	8.35864i	−0.396968	−	0.304001i
$757$	26.0105			0.945368			0.472684	−	0.881232i	$-0.343285\pi$
$757$	26.0105			0.945368			0.472684	+	0.881232i	$0.343285\pi$
$758$	−10.0841	−	1.77811i	−0.366273	−	0.0645838i
$759$	3.82495	+	19.8740i	0.138837	+	0.721380i
$760$	8.88515	+	3.23393i	0.322298	+	0.117307i
$761$	−3.77958	−	1.37566i	−0.137010	−	0.0498675i	0.272605	−	0.962126i	$-0.412115\pi$
$761$	−3.77958	−	1.37566i	−0.137010	−	0.0498675i	−0.409615	+	0.912259i	$0.634337\pi$
$762$	0.262353	−	0.156977i	0.00950404	−	0.00568669i
$763$	−2.31011	−	0.846615i	−0.0836317	−	0.0306495i
$764$	2.68035	+	1.54750i	0.0969718	+	0.0559867i
$765$	19.5120	−	0.609062i	0.705457	−	0.0220207i
$766$	−29.4730	−	17.0163i	−1.06490	−	0.614823i
$767$	2.88976	+	7.93956i	0.104343	+	0.286681i
$768$	−0.274118	+	1.71022i	−0.00989140	+	0.0617123i
$769$	12.1601	−	33.4096i	0.438505	−	1.20478i	−0.501960	−	0.864891i	$-0.667387\pi$
$769$	12.1601	−	33.4096i	0.438505	−	1.20478i	0.940465	−	0.339891i	$-0.110390\pi$
$770$	5.88228	+	10.2408i	0.211983	+	0.369051i
$771$	−5.87300	+	2.24197i	−0.211511	+	0.0807426i
$772$	15.0437	+	12.6232i	0.541434	+	0.454317i
$773$	3.85045	−	6.66918i	0.138491	−	0.239874i	−0.788435	−	0.615119i	$-0.789108\pi$
$773$	3.85045	−	6.66918i	0.138491	−	0.239874i	0.926926	+	0.375245i	$0.122441\pi$
$774$	25.6918	−	15.9221i	0.923474	−	0.572308i
$775$	−5.81661	+	3.35822i	−0.208939	+	0.120631i
$776$	0.583853	+	0.489911i	0.0209591	+	0.0175868i
$777$	−11.9822	+	4.54372i	−0.429861	+	0.163005i
$778$	−3.41994	−	19.3954i	−0.122611	−	0.695359i
$779$	−33.1839	+	5.85121i	−1.18894	+	0.209641i
$780$	−3.94949	+	0.760120i	−0.141414	+	0.0272166i
$781$	−13.8210	−	11.5972i	−0.494555	−	0.414981i
$782$	−8.51697	+	14.7518i	−0.304566	+	0.527524i
$783$	16.5214	−	21.6732i	0.590427	−	0.774537i
$784$	5.38220	−	4.47570i	0.192222	−	0.159846i
$785$	−13.1400	−	36.1018i	−0.468986	−	1.28853i
$786$	1.07208	−	3.09492i	0.0382397	−	0.110392i
$787$	−9.64103	+	26.4885i	−0.343666	+	0.944214i	0.640655	+	0.767828i	$0.278663\pi$
$787$	−9.64103	+	26.4885i	−0.343666	+	0.944214i	−0.984321	+	0.176385i	$0.943560\pi$
$788$	−10.1083	−	12.0466i	−0.360093	−	0.429143i
$789$	−23.1659	−	12.8972i	−0.824726	−	0.459151i
$790$	−14.0764	+	16.7756i	−0.500817	+	0.596851i
$791$	10.2301	−	12.1370i	0.363740	−	0.431542i
$792$	5.74018	−	5.13013i	0.203968	−	0.182291i
$793$	13.9176			0.494227
$794$	−2.98648	+	1.08699i	−0.105986	+	0.0385759i
$795$	0.996473	+	0.159717i	0.0353412	+	0.00566458i
$796$	5.07484	+	6.04796i	0.179873	+	0.214364i
$797$	0.118531	+	0.0431416i	0.00419857	+	0.00152815i	0.344119	−	0.938926i	$-0.388178\pi$
$797$	0.118531	+	0.0431416i	0.00419857	+	0.00152815i	−0.339920	+	0.940454i	$0.610400\pi$
$798$	−18.8664	+	16.2660i	−0.667862	+	0.575811i
$799$	5.67735	−	32.1979i	0.200850	−	1.13908i
$800$			1.97434i			0.0698036i
$801$	7.33864	−	50.8505i	0.259298	−	1.79672i
$802$	−30.7737			−1.08666
$803$	−35.5768	+	12.9489i	−1.25548	+	0.456957i
$804$	8.59437	−	15.4372i	0.303100	−	0.544428i
$805$	−18.1709	+	10.4374i	−0.640441	+	0.367869i
$806$	−2.91912	−	3.47888i	−0.102822	−	0.122538i
$807$	−5.22751	−	27.1615i	−0.184017	−	0.956131i
$808$	−10.2734	+	12.2433i	−0.361416	+	0.430718i
$809$	0.285850	−	0.165036i	0.0100500	−	0.00580235i	−0.494967	−	0.868912i	$-0.664820\pi$
$809$	0.285850	−	0.165036i	0.0100500	−	0.00580235i	0.505017	+	0.863110i	$0.331486\pi$
$810$	4.42639	−	15.0162i	0.155528	−	0.527614i
$811$		−	6.07922i		−	0.213470i	−0.994287	−	0.106735i	$-0.965960\pi$
$811$		−	6.07922i		−	0.213470i	0.994287	−	0.106735i	$-0.0340397\pi$
$812$	8.89584	+	10.6495i	0.312183	+	0.373724i
$813$	−26.1728	−	30.2211i	−0.917920	−	1.05990i
$814$	−1.24613	−	7.06713i	−0.0436767	−	0.247703i
$815$	−18.2799	+	15.3386i	−0.640316	+	0.537289i
$816$	6.47872	−	0.101091i	0.226801	−	0.00353890i
$817$	−18.7316	−	51.4646i	−0.655335	−	1.80052i
$818$	−0.299684	+	0.519068i	−0.0104782	+	0.0181488i
$819$	3.33390	−	10.0578i	0.116496	−	0.351447i
$820$	5.39121	+	9.33784i	0.188269	+	0.326092i
$821$	6.63056	−	7.90200i	0.231408	−	0.275782i	−0.637828	−	0.770179i	$-0.720167\pi$
$821$	6.63056	−	7.90200i	0.231408	−	0.275782i	0.869236	+	0.494397i	$0.164611\pi$
$822$	8.64132	−	3.29875i	0.301401	−	0.115057i
$823$	4.07176	+	23.0921i	0.141933	+	0.804941i	0.969779	+	0.243985i	$0.0784549\pi$
$823$	4.07176	+	23.0921i	0.141933	+	0.804941i	−0.827846	+	0.560955i	$0.810434\pi$
$824$	0.832929	−	0.698910i	0.0290165	−	0.0243477i
$825$	5.53522	−	6.80962i	0.192712	−	0.237080i
$826$	5.76206	−	15.7226i	0.200488	−	0.547060i
$827$	−8.19241	+	4.72989i	−0.284878	+	0.164474i	−0.635630	−	0.771994i	$-0.719259\pi$
$827$	−8.19241	+	4.72989i	−0.284878	+	0.164474i	0.350752	+	0.936469i	$0.385926\pi$
$828$	9.10277	+	10.1852i	0.316343	+	0.353961i
$829$			14.6713i			0.509554i	0.967000	+	0.254777i	$0.0820021\pi$
$829$			14.6713i			0.509554i	−0.967000	+	0.254777i	$0.917998\pi$
$830$	19.3906	+	3.41908i	0.673057	+	0.118678i
$831$	−20.6996	+	37.1805i	−0.718060	+	1.28978i
$832$	−1.31468	+	0.231814i	−0.0455783	+	0.00803669i
$833$	−19.9853	−	16.9212i	−0.692450	−	0.586285i
$834$	0.972981	+	5.05550i	0.0336916	+	0.175058i
$835$	−1.37018	+	7.77069i	−0.0474171	+	0.268916i
$836$	−6.97474	−	12.0806i	−0.241226	−	0.417816i
$837$	17.2453	−	3.88066i	0.596086	−	0.134135i
$838$	24.0156	+	13.8654i	0.829605	+	0.478973i
$839$	−21.4541	+	7.80866i	−0.740679	+	0.269585i	−0.684678	−	0.728846i	$-0.740057\pi$
$839$	−21.4541	+	7.80866i	−0.740679	+	0.269585i	−0.0560007	+	0.998431i	$0.517835\pi$
$840$	6.95592	+	3.89280i	0.240002	+	0.134314i
$841$	1.14385	−	0.959800i	0.0394430	−	0.0330966i
$842$	7.98291	−	21.9329i	0.275109	−	0.755857i
$843$	−48.9332	−	27.2427i	−1.68535	−	0.938287i
$844$	−3.23346	+	18.3379i	−0.111300	+	0.631215i
$845$	9.75642	+	16.8986i	0.335631	+	0.581330i
$846$	−23.1042	−	12.3947i	−0.794340	−	0.426137i
$847$	−2.05372	+	11.4982i	−0.0705667	+	0.395081i
$848$	0.329879	+	0.0581666i	0.0113281	+	0.00199745i
$849$	−5.64540	−	0.904858i	−0.193749	−	0.0310546i
$850$	7.27371	−	1.28255i	0.249486	−	0.0439912i
$851$	12.5397	−	2.21109i	0.429856	−	0.0757952i
$852$	−12.0240	−	1.92724i	−0.411936	−	0.0660262i
$853$	−5.83406	−	1.02870i	−0.199754	−	0.0352221i	0.0728756	−	0.997341i	$-0.476782\pi$
$853$	−5.83406	−	1.02870i	−0.199754	−	0.0352221i	−0.272630	+	0.962119i	$0.587893\pi$
$854$	−21.0906	−	17.7769i	−0.721704	−	0.608312i
$855$	−24.9963	−	13.4097i	−0.854857	−	0.458603i
$856$	2.28984	+	3.96611i	0.0782650	+	0.135559i
$857$	−9.69932	+	55.0076i	−0.331323	+	1.87902i	0.129573	+	0.991570i	$0.458639\pi$
$857$	−9.69932	+	55.0076i	−0.331323	+	1.87902i	−0.460896	+	0.887454i	$0.652472\pi$
$858$	5.18431	+	2.88627i	0.176989	+	0.0985355i
$859$	−15.4657	+	42.4918i	−0.527685	+	1.44980i	0.334105	+	0.942536i	$0.391566\pi$
$859$	−15.4657	+	42.4918i	−0.527685	+	1.44980i	−0.861790	+	0.507266i	$0.830656\pi$
$860$	−13.4251	+	11.2650i	−0.457791	+	0.384133i
$861$	−28.4038	+	0.380238i	−0.968000	+	0.0129585i
$862$	−34.9142	+	12.7077i	−1.18918	+	0.432827i
$863$	−3.76113	−	2.17149i	−0.128030	−	0.0739184i	0.434617	−	0.900615i	$-0.356884\pi$
$863$	−3.76113	−	2.17149i	−0.128030	−	0.0739184i	−0.562647	+	0.826697i	$0.690217\pi$
$864$	1.54678	−	4.96059i	0.0526224	−	0.168763i
$865$	3.62745	+	6.28293i	0.123337	+	0.213626i
$866$	5.72765	−	32.4831i	0.194634	−	1.10382i
$867$	0.983766	+	5.11153i	0.0334104	+	0.173597i
$868$	−0.0199474	+	9.00045i	−0.000677060	+	0.305495i
$869$	31.8167	−	5.61015i	1.07931	−	0.190311i
$870$	−7.68615	+	13.8059i	−0.260585	+	0.468062i
$871$	13.4108	+	2.36469i	0.454409	+	0.0801245i
$872$		−	0.929930i		−	0.0314914i
$873$	−1.52366	−	1.70485i	−0.0515682	−	0.0577005i
$874$	21.4355	−	12.3758i	0.725066	−	0.418617i
$875$	30.1368	+	11.0446i	1.01881	+	0.373375i
$876$	−16.1182	+	19.8291i	−0.544583	+	0.669964i
$877$	−10.6979	+	8.97660i	−0.361242	+	0.303118i	−0.805286	−	0.592887i	$-0.797988\pi$
$877$	−10.6979	+	8.97660i	−0.361242	+	0.303118i	0.444043	+	0.896005i	$0.353544\pi$
$878$	3.50865	+	19.8985i	0.118411	+	0.671543i
$879$	25.9072	−	9.88985i	0.873827	−	0.333576i
$880$	−2.86923	+	3.41942i	−0.0967218	+	0.115269i
$881$	−21.7304	−	37.6381i	−0.732115	−	1.26806i	−0.955978	−	0.293440i	$-0.905200\pi$
$881$	−21.7304	−	37.6381i	−0.732115	−	1.26806i	0.223862	−	0.974621i	$-0.428133\pi$
$882$	−17.8989	+	10.9831i	−0.602689	+	0.369819i
$883$	20.7065	−	35.8647i	0.696830	−	1.20694i	−0.272730	−	0.962091i	$-0.587927\pi$
$883$	20.7065	−	35.8647i	0.696830	−	1.20694i	0.969560	−	0.244854i	$-0.0787401\pi$
$884$	1.70806	+	4.69285i	0.0574482	+	0.157838i
$885$	19.0660	−	0.297498i	0.640896	−	0.0100003i
$886$	14.6404	−	12.2847i	0.491853	−	0.412714i
$887$	−8.75913	−	49.6755i	−0.294103	−	1.66794i	−0.670826	−	0.741615i	$-0.734060\pi$
$887$	−8.75913	−	49.6755i	−0.294103	−	1.66794i	0.376723	−	0.926326i	$-0.377051\pi$
$888$	−3.17088	−	3.66135i	−0.106408	−	0.122867i
$889$	−0.0800760	−	0.460094i	−0.00268566	−	0.0154311i
$890$			29.7893i			0.998540i
$891$	−19.2423	+	12.7728i	−0.644641	+	0.427906i
$892$	−20.7710	+	11.9922i	−0.695466	+	0.401527i
$893$	−30.5373	+	36.3930i	−1.02189	+	1.21784i
$894$	−3.44286	−	17.8887i	−0.115146	−	0.598287i
$895$	18.4109	+	21.9413i	0.615409	+	0.733416i
$896$	2.28835	+	1.32795i	0.0764484	+	0.0443637i
$897$	−5.12131	+	9.19890i	−0.170996	+	0.307142i
$898$	−17.5863	+	6.40088i	−0.586861	+	0.213600i
$899$	−17.8417			−0.595054
$900$	0.846035	−	5.86230i	0.0282012	−	0.195410i
$901$		−	1.25310i		−	0.0417467i
$902$	2.76226	−	15.6656i	0.0919733	−	0.521607i
$903$	−8.62530	−	45.3575i	−0.287032	−	1.50940i
$904$	5.63773	+	2.05196i	0.187508	+	0.0682473i
$905$	−9.26943	−	11.0469i	−0.308126	−	0.367211i
$906$	−2.08586	−	0.334326i	−0.0692980	−	0.0111072i
$907$	3.80132	−	1.38357i	0.126221	−	0.0459406i	−0.278138	−	0.960541i	$-0.589717\pi$
$907$	3.80132	−	1.38357i	0.126221	−	0.0459406i	0.404358	+	0.914601i	$0.367495\pi$
$908$	8.19694			0.272025
$909$	35.7505	−	31.9510i	1.18577	−	1.05975i
$910$	−1.08024	+	6.04795i	−0.0358097	+	0.200488i
$911$	−9.21751	+	10.9850i	−0.305390	+	0.363949i	−0.896811	−	0.442413i	$-0.854122\pi$
$911$	−9.21751	+	10.9850i	−0.305390	+	0.363949i	0.591422	+	0.806363i	$0.298567\pi$
$912$	−8.22626	−	4.57982i	−0.272399	−	0.151653i
$913$	−18.6718	−	22.2522i	−0.617946	−	0.736439i
$914$	10.5821	−	29.0740i	0.350024	−	0.961683i
$915$	10.2810	−	29.6796i	0.339879	−	0.981176i
$916$	−2.32155	−	6.37839i	−0.0767060	−	0.210748i
$917$	−3.82551	−	3.22446i	−0.126329	−	0.106481i
$918$	−19.2802	−	2.47606i	−0.636341	−	0.0817222i
$919$	4.23763	−	7.33980i	0.139787	−	0.242118i	−0.787629	−	0.616150i	$-0.788692\pi$
$919$	4.23763	−	7.33980i	0.139787	−	0.242118i	0.927416	+	0.374032i	$0.122025\pi$
$920$	−6.06733	−	5.09109i	−0.200034	−	0.167848i
$921$	−17.8112	+	3.42794i	−0.586899	+	0.112955i
$922$	8.57278	−	1.51161i	0.282330	−	0.0497823i
$923$	−1.62981	−	9.24310i	−0.0536458	−	0.304240i
$924$	−4.16963	−	10.9957i	−0.137171	−	0.361733i
$925$	−4.22941	−	3.54890i	−0.139062	−	0.116687i
$926$	33.6410	−	19.4227i	1.10551	−	0.638268i
$927$	−2.77266	+	1.71831i	−0.0910660	+	0.0564367i
$928$	−2.62235	+	4.54204i	−0.0860828	+	0.149100i
$929$	7.33528	+	6.15503i	0.240663	+	0.201940i	0.755139	−	0.655564i	$-0.227569\pi$
$929$	7.33528	+	6.15503i	0.240663	+	0.201940i	−0.514476	+	0.857505i	$0.672014\pi$
$930$	−9.57516	+	3.65524i	−0.313982	+	0.119860i
$931$	12.8556	+	35.8137i	0.421326	+	1.17375i
$932$	0.0845661	−	0.232344i	0.00277006	−	0.00761067i
$933$	1.30902	−	8.16698i	0.0428555	−	0.267375i
$934$	−9.30287	−	25.5594i	−0.304399	−	0.836330i
$935$	14.4614	+	8.34930i	0.472939	+	0.273051i
$936$	4.00294	−	0.124951i	0.130840	−	0.00408414i
$937$	−4.39432	−	2.53706i	−0.143556	−	0.0828823i	0.426502	−	0.904487i	$-0.359746\pi$
$937$	−4.39432	−	2.53706i	−0.143556	−	0.0828823i	−0.570058	+	0.821605i	$0.693079\pi$
$938$	−17.3022	−	20.7131i	−0.564938	−	0.676305i
$939$	24.8419	−	14.8640i	0.810684	−	0.485068i
$940$	14.2853	+	5.19943i	0.465935	+	0.169587i
$941$	−3.10092	−	1.12864i	−0.101087	−	0.0367927i	0.290981	−	0.956729i	$-0.406018\pi$
$941$	−3.10092	−	1.12864i	−0.101087	−	0.0367927i	−0.392069	+	0.919936i	$0.628240\pi$
$942$	7.22997	+	37.5661i	0.235565	+	1.22397i
$943$	27.7966	+	4.90129i	0.905181	+	0.159608i
$944$	6.32910			0.205995
$945$	−18.9857	−	14.5394i	−0.617604	−	0.472965i
$946$	25.8548			0.840613
$947$	45.4679	+	8.01722i	1.47751	+	0.260525i	0.853582	−	0.520959i	$-0.174425\pi$
$947$	45.4679	+	8.01722i	1.47751	+	0.260525i	0.623926	+	0.781483i	$0.285537\pi$
$948$	16.4837	−	14.2755i	0.535364	−	0.463648i
$949$	−18.5075	−	6.73617i	−0.600778	−	0.218665i
$950$	−10.0850	−	3.67066i	−0.327202	−	0.119092i
$951$	0.871259	+	55.8371i	0.0282525	+	1.81064i
$952$	3.40579	−	9.29319i	0.110382	−	0.301194i
$953$	22.4840	+	12.9812i	0.728329	+	0.420501i	0.817811	−	0.575488i	$-0.195188\pi$
$953$	22.4840	+	12.9812i	0.728329	+	0.420501i	−0.0894816	+	0.995988i	$0.528521\pi$
$954$	−0.954564	−	0.314068i	−0.0309052	−	0.0101683i
$955$	4.66232	+	2.69179i	0.150869	+	0.0871043i
$956$	8.71018	+	23.9310i	0.281707	+	0.773985i
$957$	21.7785	−	8.31378i	0.704000	−	0.268746i
$958$	−2.54841	+	7.00170i	−0.0823354	+	0.226215i
$959$	0.0313134	−	14.1289i	0.00101116	−	0.456246i
$960$	−0.476813	+	2.97483i	−0.0153891	+	0.0960122i
$961$	14.8822	+	12.4877i	0.480072	+	0.402828i
$962$	1.86656	−	3.23298i	0.0601803	−	0.104235i
$963$	−5.09953	−	12.7576i	−0.164330	−	0.411107i
$964$	21.2001	−	12.2399i	0.682811	−	0.394221i
$965$	26.1676	+	21.9572i	0.842365	+	0.706829i
$966$	19.5105	−	7.39848i	0.627741	−	0.238042i
$967$	2.54307	+	14.4224i	0.0817795	+	0.463794i	0.998005	+	0.0631319i	$0.0201089\pi$
$967$	2.54307	+	14.4224i	0.0817795	+	0.463794i	−0.916226	+	0.400662i	$0.868780\pi$
$968$	−4.34760	+	0.766600i	−0.139737	+	0.0246395i
$969$	−11.5287	+	33.2816i	−0.370356	+	1.06916i
$970$	1.01558	+	0.852171i	0.0326082	+	0.0273616i
$971$	−4.21750	+	7.30492i	−0.135346	+	0.234426i	−0.925730	−	0.378186i	$-0.876548\pi$
$971$	−4.21750	+	7.30492i	−0.135346	+	0.234426i	0.790384	+	0.612612i	$0.209881\pi$
$972$	−6.71844	+	14.0664i	−0.215494	+	0.451179i
$973$	7.74160	+	1.38275i	0.248184	+	0.0443290i
$974$	11.4894	+	31.5669i	0.368144	+	1.01147i
$975$	4.48285	−	0.862770i	0.143566	−	0.0276308i
$976$	3.56571	−	9.79671i	0.114136	−	0.313585i
$977$	−18.3375	−	21.8538i	−0.586670	−	0.699166i	0.388293	−	0.921536i	$-0.373065\pi$
$977$	−18.3375	−	21.8538i	−0.586670	−	0.699166i	−0.974962	+	0.222370i	$0.928621\pi$
$978$	20.3900	−	12.2002i	0.652001	−	0.390121i
$979$	28.2492	−	33.6661i	0.902849	−	1.07597i
$980$	9.36202	−	7.78522i	0.299059	−	0.248690i
$981$	−0.398488	+	2.76118i	−0.0127227	+	0.0881578i
$982$	−11.7097			−0.373672
$983$	13.3103	−	4.84456i	0.424533	−	0.154517i	−0.120914	−	0.992663i	$-0.538582\pi$
$983$	13.3103	−	4.84456i	0.424533	−	0.154517i	0.545446	+	0.838146i	$0.316360\pi$
$984$	−3.82909	−	10.0306i	−0.122067	−	0.319763i
$985$	−17.5828	−	20.9544i	−0.560235	−	0.667662i
$986$	18.4369	+	6.71048i	0.587150	+	0.213705i
$987$	−30.3328	+	26.1521i	−0.965504	+	0.832430i
$988$	1.26011	−	7.14644i	0.0400894	−	0.227358i
$989$			45.8761i			1.45878i
$990$	9.98471	−	8.92356i	0.317335	−	0.283609i
$991$	−51.3906			−1.63248			−0.816239	−	0.577715i	$-0.803945\pi$
$991$	−51.3906			−1.63248			−0.816239	+	0.577715i	$0.803945\pi$
$992$	−3.19670	+	1.16350i	−0.101495	+	0.0369413i
$993$	−55.2031	+	0.861366i	−1.75182	+	0.0273346i
$994$	−9.33640	+	16.0887i	−0.296133	+	0.510301i
$995$	8.82739	+	10.5201i	0.279847	+	0.333509i
$996$	−18.5261	−	6.41741i	−0.587020	−	0.203343i
$997$	14.8574	−	17.7064i	0.470539	−	0.560766i	−0.477619	−	0.878567i	$-0.658500\pi$
$997$	14.8574	−	17.7064i	0.470539	−	0.560766i	0.948157	+	0.317801i	$0.102944\pi$
$998$	32.3314	−	18.6665i	1.02343	−	0.590879i
$999$	7.84616	+	12.2302i	0.248242	+	0.386946i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	378.2.ba.a.47.11	✓	144
7.3	odd	6		378.2.bf.a.101.18	yes	144
27.23	odd	18		378.2.bf.a.131.18	yes	144
189.185	even	18	inner	378.2.ba.a.185.11	yes	144

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
378.2.ba.a.47.11	✓	144	1.1	even	1	trivial
378.2.ba.a.185.11	yes	144	189.185	even	18	inner
378.2.bf.a.101.18	yes	144	7.3	odd	6
378.2.bf.a.131.18	yes	144	27.23	odd	18

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 $\F_{q}$

Level:	\( N \)	\(=\)	\( 378 = 2 \cdot 3^{3} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	378.ba (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.984808 - 0.173648i) q^{2} +(1.63664 + 0.566931i) q^{3} +(0.939693 + 0.342020i) q^{4} +(1.63454 + 0.594924i) q^{5} +(-1.51333 - 0.842517i) q^{6} +(-2.03053 + 1.69616i) q^{7} +(-0.866025 - 0.500000i) q^{8} +(2.35718 + 1.85572i) q^{9} +O(q^{10})\)	\(q+(-0.984808 - 0.173648i) q^{2} +(1.63664 + 0.566931i) q^{3} +(0.939693 + 0.342020i) q^{4} +(1.63454 + 0.594924i) q^{5} +(-1.51333 - 0.842517i) q^{6} +(-2.03053 + 1.69616i) q^{7} +(-0.866025 - 0.500000i) q^{8} +(2.35718 + 1.85572i) q^{9} +(-1.50640 - 0.869721i) q^{10} +(0.877688 + 2.41143i) q^{11} +(1.34404 + 1.09250i) q^{12} +(-0.456584 + 1.25445i) q^{13} +(2.29421 - 1.31779i) q^{14} +(2.33787 + 1.90035i) q^{15} +(0.766044 + 0.642788i) q^{16} +(1.87047 - 3.23976i) q^{17} +(-1.99912 - 2.23685i) q^{18} +(-4.70760 + 2.71794i) q^{19} +(1.33249 + 1.11809i) q^{20} +(-4.28485 + 1.62483i) q^{21} +(-0.445614 - 2.52720i) q^{22} +(4.48420 - 0.790686i) q^{23} +(-1.13391 - 1.30930i) q^{24} +(-1.51244 - 1.26908i) q^{25} +(0.667481 - 1.15611i) q^{26} +(2.80579 + 4.37351i) q^{27} +(-2.48819 + 0.899388i) q^{28} +(-1.79379 - 4.92840i) q^{29} +(-1.97236 - 2.27744i) q^{30} +(1.16350 - 3.19670i) q^{31} +(-0.642788 - 0.766044i) q^{32} +(0.0693459 + 4.44423i) q^{33} +(-2.40464 + 2.86573i) q^{34} +(-4.32806 + 1.56443i) q^{35} +(1.58033 + 2.55001i) q^{36} +2.79642 q^{37} +(5.10805 - 1.85918i) q^{38} +(-1.45845 + 1.79424i) q^{39} +(-1.11809 - 1.33249i) q^{40} +(5.82495 + 2.12011i) q^{41} +(4.50190 - 0.856093i) q^{42} +(-1.74954 + 9.92212i) q^{43} +2.56619i q^{44} +(2.74889 + 4.43560i) q^{45} -4.55338 q^{46} +(8.21258 - 2.98914i) q^{47} +(0.889323 + 1.48631i) q^{48} +(1.24608 - 6.88820i) q^{49} +(1.26908 + 1.51244i) q^{50} +(4.89801 - 4.24188i) q^{51} +(-0.858097 + 1.02264i) q^{52} +(0.290091 - 0.167484i) q^{53} +(-2.00371 - 4.79428i) q^{54} +4.46373i q^{55} +(2.60657 - 0.453654i) q^{56} +(-9.24553 + 1.77940i) q^{57} +(0.910732 + 5.16502i) q^{58} +(4.84837 - 4.06827i) q^{59} +(1.54692 + 2.58534i) q^{60} +(-3.56571 - 9.79671i) q^{61} +(-1.70093 + 2.94610i) q^{62} +(-7.93392 + 0.230056i) q^{63} +(0.500000 + 0.866025i) q^{64} +(-1.49261 + 1.77882i) q^{65} +(0.703440 - 4.38875i) q^{66} +(-1.77135 - 10.0459i) q^{67} +(2.86573 - 2.40464i) q^{68} +(7.78728 + 1.24816i) q^{69} +(4.53397 - 0.789105i) q^{70} +(-6.08875 + 3.51534i) q^{71} +(-1.11351 - 2.78569i) q^{72} +14.7534i q^{73} +(-2.75394 - 0.485594i) q^{74} +(-1.75583 - 2.93448i) q^{75} +(-5.35329 + 0.943929i) q^{76} +(-5.87234 - 3.40777i) q^{77} +(1.74786 - 1.51372i) q^{78} +(2.18618 - 12.3984i) q^{79} +(0.869721 + 1.50640i) q^{80} +(2.11258 + 8.74854i) q^{81} +(-5.36830 - 3.09939i) q^{82} +(-10.6369 + 3.87152i) q^{83} +(-4.58217 + 0.0613407i) q^{84} +(4.98477 - 4.18272i) q^{85} +(3.44592 - 9.46758i) q^{86} +(-0.141727 - 9.08297i) q^{87} +(0.445614 - 2.52720i) q^{88} +(-8.56289 - 14.8314i) q^{89} +(-1.93689 - 4.84555i) q^{90} +(-1.20065 - 3.32164i) q^{91} +(4.48420 + 0.790686i) q^{92} +(3.71655 - 4.57222i) q^{93} +(-8.60687 + 1.51762i) q^{94} +(-9.31173 + 1.64191i) q^{95} +(-0.617717 - 1.61815i) q^{96} +(-0.750587 - 0.132349i) q^{97} +(-2.42327 + 6.56717i) q^{98} +(-2.40608 + 7.31292i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 144 q - 18 q^{6} + 24 q^{9}+O(q^{10}) \) 144 * q - 18 * q^6 + 24 * q^9	\( 144 q - 18 q^{6} + 24 q^{9} - 24 q^{11} + 6 q^{14} + 12 q^{15} - 30 q^{21} - 42 q^{23} - 6 q^{29} - 18 q^{30} + 6 q^{36} + 48 q^{39} - 48 q^{42} + 18 q^{45} - 54 q^{47} - 36 q^{49} + 12 q^{50} - 36 q^{51} - 90 q^{53} + 6 q^{56} - 6 q^{57} + 18 q^{60} + 54 q^{61} - 24 q^{63} + 72 q^{64} + 78 q^{65} - 72 q^{66} - 54 q^{68} + 36 q^{69} - 18 q^{70} - 72 q^{71} + 12 q^{72} - 36 q^{74} - 6 q^{77} - 60 q^{78} + 36 q^{79} - 6 q^{84} - 72 q^{85} + 24 q^{86} + 36 q^{91} - 42 q^{92} + 96 q^{93} - 66 q^{95} - 108 q^{99}+O(q^{100}) \) 144 * q - 18 * q^6 + 24 * q^9 - 24 * q^11 + 6 * q^14 + 12 * q^15 - 30 * q^21 - 42 * q^23 - 6 * q^29 - 18 * q^30 + 6 * q^36 + 48 * q^39 - 48 * q^42 + 18 * q^45 - 54 * q^47 - 36 * q^49 + 12 * q^50 - 36 * q^51 - 90 * q^53 + 6 * q^56 - 6 * q^57 + 18 * q^60 + 54 * q^61 - 24 * q^63 + 72 * q^64 + 78 * q^65 - 72 * q^66 - 54 * q^68 + 36 * q^69 - 18 * q^70 - 72 * q^71 + 12 * q^72 - 36 * q^74 - 6 * q^77 - 60 * q^78 + 36 * q^79 - 6 * q^84 - 72 * q^85 + 24 * q^86 + 36 * q^91 - 42 * q^92 + 96 * q^93 - 66 * q^95 - 108 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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