LMFDB - Embedded newform 770.2.bh.b.57.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [770,2,Mod(57,770)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(770, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([5, 0, 2]))

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

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

chi := DirichletCharacter("770.57");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 770 = 2 \cdot 5 \cdot 7 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	770.bh (of order $20$, degree $8$, 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:	$6.14848095564$
Analytic rank:	$0$
Dimension:	$144$
Relative dimension:	$18$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			57.2
Character	$\chi$	$=$	770.57
Dual form			770.2.bh.b.743.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.453990 - 0.891007i) q^{2} +(-0.243764 + 1.53906i) q^{3} +(-0.587785 + 0.809017i) q^{4} +(-1.06097 - 1.96833i) q^{5} +(1.48198 - 0.481525i) q^{6} +(0.987688 - 0.156434i) q^{7} +(0.987688 + 0.156434i) q^{8} +(0.543876 + 0.176716i) q^{9} +O(q^{10})$	\(q+(-0.453990 - 0.891007i) q^{2} +(-0.243764 + 1.53906i) q^{3} +(-0.587785 + 0.809017i) q^{4} +(-1.06097 - 1.96833i) q^{5} +(1.48198 - 0.481525i) q^{6} +(0.987688 - 0.156434i) q^{7} +(0.987688 + 0.156434i) q^{8} +(0.543876 + 0.176716i) q^{9} +(-1.27213 + 1.83894i) q^{10} +(-2.88872 + 1.62950i) q^{11} +(-1.10185 - 1.10185i) q^{12} +(-2.80599 + 1.42973i) q^{13} +(-0.587785 - 0.809017i) q^{14} +(3.28801 - 1.15310i) q^{15} +(-0.309017 - 0.951057i) q^{16} +(5.56176 + 2.83386i) q^{17} +(-0.0894594 - 0.564825i) q^{18} +(3.02745 - 2.19957i) q^{19} +(2.21604 + 0.298611i) q^{20} +1.55825i q^{21} +(2.76335 + 1.83409i) q^{22} +(3.25720 - 3.25720i) q^{23} +(-0.481525 + 1.48198i) q^{24} +(-2.74867 + 4.17670i) q^{25} +(2.54779 + 1.85108i) q^{26} +(-2.52684 + 4.95921i) q^{27} +(-0.453990 + 0.891007i) q^{28} +(-0.846832 - 0.615259i) q^{29} +(-2.52014 - 2.40615i) q^{30} +(-1.15987 + 3.56971i) q^{31} +(-0.707107 + 0.707107i) q^{32} +(-1.80374 - 4.84314i) q^{33} -6.24210i q^{34} +(-1.35583 - 1.77813i) q^{35} +(-0.462649 + 0.336134i) q^{36} +(-0.0602580 - 0.380454i) q^{37} +(-3.33427 - 1.69890i) q^{38} +(-1.51644 - 4.66712i) q^{39} +(-0.739996 - 2.11007i) q^{40} +(7.07874 + 9.74306i) q^{41} +(1.38841 - 0.707429i) q^{42} +(4.13501 + 4.13501i) q^{43} +(0.379653 - 3.29482i) q^{44} +(-0.229202 - 1.25802i) q^{45} +(-4.38092 - 1.42345i) q^{46} +(10.8286 + 1.71509i) q^{47} +(1.53906 - 0.243764i) q^{48} +(0.951057 - 0.309017i) q^{49} +(4.96934 + 0.552900i) q^{50} +(-5.71724 + 7.86910i) q^{51} +(0.492650 - 3.11047i) q^{52} +(4.93916 + 9.69364i) q^{53} +5.56585 q^{54} +(6.27226 + 3.95711i) q^{55} +1.00000 q^{56} +(2.64730 + 5.19562i) q^{57} +(-0.163746 + 1.03385i) q^{58} +(2.40386 - 3.30863i) q^{59} +(-0.999771 + 3.33783i) q^{60} +(-14.7084 + 4.77904i) q^{61} +(3.70721 - 0.587164i) q^{62} +(0.564825 + 0.0894594i) q^{63} +(0.951057 + 0.309017i) q^{64} +(5.79126 + 4.00623i) q^{65} +(-3.49639 + 3.80589i) q^{66} +(3.69352 + 3.69352i) q^{67} +(-5.56176 + 2.83386i) q^{68} +(4.21904 + 5.80701i) q^{69} +(-0.968790 + 2.01530i) q^{70} +(-1.40041 - 4.31003i) q^{71} +(0.509536 + 0.259621i) q^{72} +(2.06364 + 13.0293i) q^{73} +(-0.311631 + 0.226413i) q^{74} +(-5.75818 - 5.24850i) q^{75} +3.74214i q^{76} +(-2.59825 + 2.06134i) q^{77} +(-3.46998 + 3.46998i) q^{78} +(3.07332 - 9.45871i) q^{79} +(-1.54414 + 1.61729i) q^{80} +(-5.62863 - 4.08944i) q^{81} +(5.46744 - 10.7305i) q^{82} +(7.34272 - 14.4109i) q^{83} +(-1.26065 - 0.915915i) q^{84} +(-0.322905 - 13.9540i) q^{85} +(1.80706 - 5.56157i) q^{86} +(1.15335 - 1.15335i) q^{87} +(-3.10807 + 1.15755i) q^{88} +8.22572i q^{89} +(-1.01685 + 0.775350i) q^{90} +(-2.54779 + 1.85108i) q^{91} +(0.720595 + 4.54966i) q^{92} +(-5.21128 - 2.65528i) q^{93} +(-3.38795 - 10.4270i) q^{94} +(-7.54154 - 3.62535i) q^{95} +(-0.915915 - 1.26065i) q^{96} +(-10.6378 + 5.42023i) q^{97} +(-0.707107 - 0.707107i) q^{98} +(-1.85907 + 0.375764i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 144 q + 4 q^{3}+O(q^{10}) $ 144 * q + 4 * q^3	$ 144 q + 4 q^{3} + 4 q^{11} + 16 q^{12} + 4 q^{15} + 36 q^{16} + 16 q^{20} - 4 q^{22} + 16 q^{23} - 8 q^{25} - 36 q^{26} - 80 q^{27} - 24 q^{31} + 96 q^{33} + 44 q^{36} + 44 q^{37} + 28 q^{38} + 4 q^{42} - 80 q^{45} - 40 q^{46} - 12 q^{47} - 4 q^{48} + 20 q^{51} - 40 q^{52} - 112 q^{53} - 120 q^{55} + 144 q^{56} - 80 q^{57} + 56 q^{58} + 12 q^{60} - 40 q^{62} + 16 q^{66} - 48 q^{67} + 4 q^{70} + 144 q^{71} + 96 q^{75} + 4 q^{77} + 16 q^{78} - 16 q^{81} - 52 q^{82} - 80 q^{83} + 40 q^{85} + 24 q^{86} + 36 q^{88} + 36 q^{91} + 4 q^{92} - 152 q^{93} - 40 q^{95} + 20 q^{96} + 12 q^{97}+O(q^{100}) $ 144 * q + 4 * q^3 + 4 * q^11 + 16 * q^12 + 4 * q^15 + 36 * q^16 + 16 * q^20 - 4 * q^22 + 16 * q^23 - 8 * q^25 - 36 * q^26 - 80 * q^27 - 24 * q^31 + 96 * q^33 + 44 * q^36 + 44 * q^37 + 28 * q^38 + 4 * q^42 - 80 * q^45 - 40 * q^46 - 12 * q^47 - 4 * q^48 + 20 * q^51 - 40 * q^52 - 112 * q^53 - 120 * q^55 + 144 * q^56 - 80 * q^57 + 56 * q^58 + 12 * q^60 - 40 * q^62 + 16 * q^66 - 48 * q^67 + 4 * q^70 + 144 * q^71 + 96 * q^75 + 4 * q^77 + 16 * q^78 - 16 * q^81 - 52 * q^82 - 80 * q^83 + 40 * q^85 + 24 * q^86 + 36 * q^88 + 36 * q^91 + 4 * q^92 - 152 * q^93 - 40 * q^95 + 20 * q^96 + 12 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/770\mathbb{Z}\right)^\times$.

$n$	$211$	$617$	$661$
$\chi(n)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{1}{4}\right)$	$1$

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 $

$2$	−0.453990	−	0.891007i	−0.321020	−	0.630037i
$2$	−0.453990	−	0.891007i	−0.321020	−	0.630037i
$3$	−0.243764	+	1.53906i	−0.140737	+	0.888578i	0.811751	+	0.584003i	$0.198514\pi$
$3$	−0.243764	+	1.53906i	−0.140737	+	0.888578i	−0.952488	+	0.304575i	$0.901486\pi$
$4$	−0.587785	+	0.809017i	−0.293893	+	0.404508i
$5$	−1.06097	−	1.96833i	−0.474482	−	0.880265i
$5$	−1.06097	−	1.96833i	−0.474482	−	0.880265i
$6$	1.48198	−	0.481525i	0.605016	−	0.196582i
$7$	0.987688	−	0.156434i	0.373311	−	0.0591267i
$7$	0.987688	−	0.156434i	0.373311	−	0.0591267i
$8$	0.987688	+	0.156434i	0.349201	+	0.0553079i
$9$	0.543876	+	0.176716i	0.181292	+	0.0589054i
$10$	−1.27213	+	1.83894i	−0.402281	+	0.581524i
$11$	−2.88872	+	1.62950i	−0.870983	+	0.491314i
$11$	−2.88872	+	1.62950i	−0.870983	+	0.491314i
$12$	−1.10185	−	1.10185i	−0.318076	−	0.318076i
$13$	−2.80599	+	1.42973i	−0.778243	+	0.396535i	−0.797530	−	0.603279i	$-0.793860\pi$
$13$	−2.80599	+	1.42973i	−0.778243	+	0.396535i	0.0192871	+	0.999814i	$0.493860\pi$
$14$	−0.587785	−	0.809017i	−0.157092	−	0.216219i
$15$	3.28801	−	1.15310i	0.848962	−	0.297728i
$16$	−0.309017	−	0.951057i	−0.0772542	−	0.237764i
$17$	5.56176	+	2.83386i	1.34892	+	0.687311i	0.971124	−	0.238576i	$-0.0766807\pi$
$17$	5.56176	+	2.83386i	1.34892	+	0.687311i	0.377800	+	0.925887i	$0.376681\pi$
$18$	−0.0894594	−	0.564825i	−0.0210858	−	0.133130i
$19$	3.02745	−	2.19957i	0.694546	−	0.504617i	−0.183606	−	0.983000i	$-0.558777\pi$
$19$	3.02745	−	2.19957i	0.694546	−	0.504617i	0.878151	+	0.478383i	$0.158777\pi$
$20$	2.21604	+	0.298611i	0.495522	+	0.0667715i
$21$			1.55825i			0.340037i
$22$	2.76335	+	1.83409i	0.589148	+	0.391030i
$23$	3.25720	−	3.25720i	0.679172	−	0.679172i	−0.280641	−	0.959813i	$-0.590547\pi$
$23$	3.25720	−	3.25720i	0.679172	−	0.679172i	0.959813	+	0.280641i	$0.0905470\pi$
$24$	−0.481525	+	1.48198i	−0.0982909	+	0.302508i
$25$	−2.74867	+	4.17670i	−0.549734	+	0.835340i
$26$	2.54779	+	1.85108i	0.499663	+	0.363026i
$27$	−2.52684	+	4.95921i	−0.486291	+	0.954400i
$28$	−0.453990	+	0.891007i	−0.0857961	+	0.168384i
$29$	−0.846832	−	0.615259i	−0.157253	−	0.114251i	0.506376	−	0.862313i	$-0.330985\pi$
$29$	−0.846832	−	0.615259i	−0.157253	−	0.114251i	−0.663629	+	0.748062i	$0.730985\pi$
$30$	−2.52014	−	2.40615i	−0.460113	−	0.439300i
$31$	−1.15987	+	3.56971i	−0.208319	+	0.641139i	0.791242	+	0.611503i	$0.209435\pi$
$31$	−1.15987	+	3.56971i	−0.208319	+	0.641139i	−0.999561	+	0.0296361i	$0.990565\pi$
$32$	−0.707107	+	0.707107i	−0.125000	+	0.125000i
$33$	−1.80374	−	4.84314i	−0.313991	−	0.843082i
$34$		−	6.24210i		−	1.07051i
$35$	−1.35583	−	1.77813i	−0.229177	−	0.300558i
$36$	−0.462649	+	0.336134i	−0.0771081	+	0.0560223i
$37$	−0.0602580	−	0.380454i	−0.00990636	−	0.0625463i	0.982240	−	0.187629i	$-0.0600803\pi$
$37$	−0.0602580	−	0.380454i	−0.00990636	−	0.0625463i	−0.992146	+	0.125083i	$0.960080\pi$
$38$	−3.33427	−	1.69890i	−0.540890	−	0.275597i
$39$	−1.51644	−	4.66712i	−0.242824	−	0.747337i
$40$	−0.739996	−	2.11007i	−0.117004	−	0.333632i
$41$	7.07874	+	9.74306i	1.10551	+	1.52161i	0.827865	+	0.560927i	$0.189555\pi$
$41$	7.07874	+	9.74306i	1.10551	+	1.52161i	0.277649	+	0.960683i	$0.410445\pi$
$42$	1.38841	−	0.707429i	0.214236	−	0.109159i
$43$	4.13501	+	4.13501i	0.630583	+	0.630583i	0.948214	−	0.317632i	$-0.102888\pi$
$43$	4.13501	+	4.13501i	0.630583	+	0.630583i	−0.317632	+	0.948214i	$0.602888\pi$
$44$	0.379653	−	3.29482i	0.0572348	−	0.496713i
$45$	−0.229202	−	1.25802i	−0.0341675	−	0.187535i
$46$	−4.38092	−	1.42345i	−0.645931	−	0.209876i
$47$	10.8286	+	1.71509i	1.57952	+	0.250171i	0.883703	−	0.468048i	$-0.155043\pi$
$47$	10.8286	+	1.71509i	1.57952	+	0.250171i	0.695817	+	0.718219i	$0.255043\pi$
$48$	1.53906	−	0.243764i	0.222145	−	0.0351842i
$49$	0.951057	−	0.309017i	0.135865	−	0.0441453i
$50$	4.96934	+	0.552900i	0.702770	+	0.0781919i
$51$	−5.71724	+	7.86910i	−0.800573	+	1.10189i
$52$	0.492650	−	3.11047i	0.0683182	−	0.431344i
$53$	4.93916	+	9.69364i	0.678445	+	1.33152i	0.931383	+	0.364041i	$0.118603\pi$
$53$	4.93916	+	9.69364i	0.678445	+	1.33152i	−0.252937	+	0.967483i	$0.581397\pi$
$54$	5.56585			0.757416
$55$	6.27226	+	3.95711i	0.845752	+	0.533576i
$56$	1.00000			0.133631
$57$	2.64730	+	5.19562i	0.350643	+	0.688176i
$58$	−0.163746	+	1.03385i	−0.0215010	+	0.135752i
$59$	2.40386	−	3.30863i	0.312956	−	0.430747i	−0.623344	−	0.781947i	$-0.714227\pi$
$59$	2.40386	−	3.30863i	0.312956	−	0.430747i	0.936300	+	0.351201i	$0.114227\pi$
$60$	−0.999771	+	3.33783i	−0.129070	+	0.430912i
$61$	−14.7084	+	4.77904i	−1.88321	+	0.611893i	−0.898153	+	0.439682i	$0.855091\pi$
$61$	−14.7084	+	4.77904i	−1.88321	+	0.611893i	−0.985060	+	0.172211i	$0.944909\pi$
$62$	3.70721	−	0.587164i	0.470816	−	0.0745699i
$63$	0.564825	+	0.0894594i	0.0711612	+	0.0112708i
$64$	0.951057	+	0.309017i	0.118882	+	0.0386271i
$65$	5.79126	+	4.00623i	0.718318	+	0.496912i
$66$	−3.49639	+	3.80589i	−0.430375	+	0.468472i
$67$	3.69352	+	3.69352i	0.451235	+	0.451235i	0.895764	−	0.444529i	$-0.146629\pi$
$67$	3.69352	+	3.69352i	0.451235	+	0.451235i	−0.444529	+	0.895764i	$0.646629\pi$
$68$	−5.56176	+	2.83386i	−0.674462	+	0.343656i
$69$	4.21904	+	5.80701i	0.507913	+	0.699082i
$70$	−0.968790	+	2.01530i	−0.115793	+	0.240875i
$71$	−1.40041	−	4.31003i	−0.166198	−	0.511506i	0.832924	−	0.553387i	$-0.186665\pi$
$71$	−1.40041	−	4.31003i	−0.166198	−	0.511506i	−0.999123	+	0.0418811i	$0.986665\pi$
$72$	0.509536	+	0.259621i	0.0600494	+	0.0305967i
$73$	2.06364	+	13.0293i	0.241531	+	1.52497i	0.748578	+	0.663047i	$0.230737\pi$
$73$	2.06364	+	13.0293i	0.241531	+	1.52497i	−0.507047	+	0.861918i	$0.669263\pi$
$74$	−0.311631	+	0.226413i	−0.0362263	+	0.0263200i
$75$	−5.75818	−	5.24850i	−0.664897	−	0.606045i
$76$			3.74214i			0.429253i
$77$	−2.59825	+	2.06134i	−0.296098	+	0.234911i
$78$	−3.46998	+	3.46998i	−0.392898	+	0.392898i
$79$	3.07332	−	9.45871i	0.345775	−	1.06419i	−0.615392	−	0.788221i	$-0.711002\pi$
$79$	3.07332	−	9.45871i	0.345775	−	1.06419i	0.961167	−	0.275966i	$-0.0889978\pi$
$80$	−1.54414	+	1.61729i	−0.172640	+	0.180819i
$81$	−5.62863	−	4.08944i	−0.625404	−	0.454382i
$82$	5.46744	−	10.7305i	0.603778	−	1.18498i
$83$	7.34272	−	14.4109i	0.805968	−	1.58180i	−0.00734401	−	0.999973i	$-0.502338\pi$
$83$	7.34272	−	14.4109i	0.805968	−	1.58180i	0.813312	−	0.581828i	$-0.197662\pi$
$84$	−1.26065	−	0.915915i	−0.137548	−	0.0999345i
$85$	−0.322905	−	13.9540i	−0.0350240	−	1.51353i
$86$	1.80706	−	5.56157i	0.194861	−	0.599720i
$87$	1.15335	−	1.15335i	0.123652	−	0.123652i
$88$	−3.10807	+	1.15755i	−0.331321	+	0.123395i
$89$			8.22572i			0.871924i	0.899965	+	0.435962i	$0.143592\pi$
$89$			8.22572i			0.871924i	−0.899965	+	0.435962i	$0.856408\pi$
$90$	−1.01685	+	0.775350i	−0.107185	+	0.0817291i
$91$	−2.54779	+	1.85108i	−0.267081	+	0.194046i
$92$	0.720595	+	4.54966i	0.0751272	+	0.474335i
$93$	−5.21128	−	2.65528i	−0.540384	−	0.275340i
$94$	−3.38795	−	10.4270i	−0.349440	−	1.07547i
$95$	−7.54154	−	3.62535i	−0.773746	−	0.371953i
$96$	−0.915915	−	1.26065i	−0.0934802	−	0.128664i
$97$	−10.6378	+	5.42023i	−1.08011	+	0.550341i	−0.901146	−	0.433515i	$-0.857273\pi$
$97$	−10.6378	+	5.42023i	−1.08011	+	0.550341i	−0.178959	+	0.983857i	$0.557273\pi$
$98$	−0.707107	−	0.707107i	−0.0714286	−	0.0714286i
$99$	−1.85907	+	0.375764i	−0.186843	+	0.0377657i
$100$	−1.76339	−	4.67872i	−0.176339	−	0.467872i
$101$	0.442394	+	0.143743i	0.0440199	+	0.0143029i	0.330944	−	0.943650i	$-0.392633\pi$
$101$	0.442394	+	0.143743i	0.0440199	+	0.0143029i	−0.286924	+	0.957953i	$0.592633\pi$
$102$	9.60699	+	1.52160i	0.951234	+	0.150661i
$103$	1.61276	−	0.255437i	0.158910	−	0.0251689i	−0.0764723	−	0.997072i	$-0.524366\pi$
$103$	1.61276	−	0.255437i	0.158910	−	0.0251689i	0.235383	+	0.971903i	$0.424366\pi$
$104$	−2.99511	+	0.973169i	−0.293694	+	0.0954271i
$105$	3.06715	−	1.65326i	0.299323	−	0.161342i
$106$	6.39477	−	8.80164i	0.621115	−	0.854891i
$107$	1.23315	−	7.78580i	0.119213	−	0.752681i	−0.853573	−	0.520974i	$-0.825569\pi$
$107$	1.23315	−	7.78580i	0.119213	−	0.752681i	0.972786	−	0.231707i	$-0.0744312\pi$
$108$	−2.52684	−	4.95921i	−0.243146	−	0.477200i
$109$	−9.67504			−0.926701			−0.463351	−	0.886175i	$-0.653353\pi$
$109$	−9.67504			−0.926701			−0.463351	+	0.886175i	$0.653353\pi$
$110$	0.678261	−	7.38512i	0.0646696	−	0.704143i
$111$	0.600231			0.0569714
$112$	−0.453990	−	0.891007i	−0.0428981	−	0.0841922i
$113$	0.452836	−	2.85909i	0.0425992	−	0.268961i	−0.957191	−	0.289458i	$-0.906525\pi$
$113$	0.452836	−	2.85909i	0.0425992	−	0.268961i	0.999790	+	0.0204972i	$0.00652493\pi$
$114$	3.42748	−	4.71752i	0.321013	−	0.441836i
$115$	−9.86704	−	2.95545i	−0.920106	−	0.275597i
$116$	0.995510	−	0.323461i	0.0924308	−	0.0300326i
$117$	−1.77877	+	0.281729i	−0.164447	+	0.0260459i
$118$	−4.03934	−	0.639768i	−0.371851	−	0.0588955i
$119$	5.93659	+	1.92892i	0.544207	+	0.176823i
$120$	3.42792	−	0.624542i	0.312925	−	0.0570126i
$121$	5.68944	−	9.41437i	0.517222	−	0.855851i
$122$	10.9356	+	10.9356i	0.990064	+	0.990064i
$123$	−16.7207	+	8.51963i	−1.50766	+	0.768189i
$124$	−2.20620	−	3.03658i	−0.198123	−	0.272693i
$125$	11.1374	+	0.978926i	0.996159	+	0.0875578i
$126$	−0.176716	−	0.543876i	−0.0157431	−	0.0484523i
$127$	−6.62623	−	3.37623i	−0.587983	−	0.299592i	0.134574	−	0.990904i	$-0.457033\pi$
$127$	−6.62623	−	3.37623i	−0.587983	−	0.299592i	−0.722557	+	0.691311i	$0.757033\pi$
$128$	−0.156434	−	0.987688i	−0.0138270	−	0.0873001i
$129$	−7.37200	+	5.35607i	−0.649068	+	0.471576i
$130$	0.940399	−	6.97884i	0.0824784	−	0.612085i
$131$			9.41606i			0.822685i	0.911481	+	0.411343i	$0.134940\pi$
$131$			9.41606i			0.822685i	−0.911481	+	0.411343i	$0.865060\pi$
$132$	4.97839	+	1.38747i	0.433314	+	0.120764i
$133$	2.64609	−	2.64609i	0.229445	−	0.229445i
$134$	1.61413	−	4.96777i	0.139439	−	0.429150i
$135$	12.4423	−	0.287923i	1.07086	−	0.0247804i
$136$	5.04997	+	3.66902i	0.433031	+	0.314616i
$137$	8.75411	−	17.1809i	0.747914	−	1.46786i	−0.131252	−	0.991349i	$-0.541900\pi$
$137$	8.75411	−	17.1809i	0.747914	−	1.46786i	0.879166	−	0.476516i	$-0.158100\pi$
$138$	3.25868	−	6.39552i	0.277397	−	0.544423i
$139$	−12.9427	−	9.40339i	−1.09778	−	0.797585i	−0.117085	−	0.993122i	$-0.537355\pi$
$139$	−12.9427	−	9.40339i	−1.09778	−	0.797585i	−0.980696	+	0.195537i	$0.937355\pi$
$140$	2.23547	−	0.0517302i	0.188932	−	0.00437200i
$141$	−5.27926	+	16.2479i	−0.444594	+	1.36832i
$142$	−3.20449	+	3.20449i	−0.268915	+	0.268915i
$143$	5.77600	−	8.70246i	0.483013	−	0.727736i
$144$		−	0.571865i		−	0.0476554i
$145$	−0.312569	+	2.31962i	−0.0259574	+	0.192634i
$146$	10.6723	−	7.75390i	0.883248	−	0.641717i
$147$	0.243764	+	1.53906i	0.0201053	+	0.126940i
$148$	0.343213	+	0.174876i	0.0282119	+	0.0143747i
$149$	−2.96335	−	9.12026i	−0.242767	−	0.747161i	−0.995996	−	0.0894019i	$-0.971504\pi$
$149$	−2.96335	−	9.12026i	−0.242767	−	0.747161i	0.753228	−	0.657759i	$-0.228496\pi$
$150$	−2.06229	+	7.51334i	−0.168385	+	0.613462i
$151$	−12.5549	−	17.2804i	−1.02171	−	1.40626i	−0.911001	−	0.412405i	$-0.864689\pi$
$151$	−12.5549	−	17.2804i	−1.02171	−	1.40626i	−0.110706	−	0.993853i	$-0.535311\pi$
$152$	3.33427	−	1.69890i	0.270445	−	0.137799i
$153$	2.52412	+	2.52412i	0.204063	+	0.204063i
$154$	3.01624	+	1.37923i	0.243056	+	0.111141i
$155$	8.25697	−	1.50436i	0.663216	−	0.120833i
$156$	4.66712	+	1.51644i	0.373668	+	0.121412i
$157$	15.7113	+	2.48842i	1.25390	+	0.198598i	0.747826	−	0.663895i	$-0.231098\pi$
$157$	15.7113	+	2.48842i	1.25390	+	0.198598i	0.506070	+	0.862493i	$0.331098\pi$
$158$	−9.82303	+	1.55581i	−0.781478	+	0.123774i
$159$	−16.1231	+	5.23872i	−1.27865	+	0.415457i
$160$	2.14204	+	0.641600i	0.169343	+	0.0507229i
$161$	2.70756	−	3.72663i	0.213385	−	0.293700i
$162$	−1.08837	+	6.87172i	−0.0855107	+	0.539893i
$163$	11.4553	+	22.4823i	0.897248	+	1.76095i	0.585215	+	0.810878i	$0.301010\pi$
$163$	11.4553	+	22.4823i	0.897248	+	1.76095i	0.312034	+	0.950071i	$0.398990\pi$
$164$	−12.0431			−0.940406
$165$	−7.61919	+	8.68881i	−0.593153	+	0.676423i
$166$	−16.1737			−1.25532
$167$	2.35978	+	4.63132i	0.182605	+	0.358382i	0.964104	−	0.265524i	$-0.0855448\pi$
$167$	2.35978	+	4.63132i	0.182605	+	0.358382i	−0.781499	+	0.623906i	$0.785545\pi$
$168$	−0.243764	+	1.53906i	−0.0188068	+	0.118741i
$169$	−1.81172	+	2.49362i	−0.139363	+	0.191817i
$170$	−12.2865	+	6.62271i	−0.942335	+	0.507939i
$171$	2.03526	−	0.661296i	0.155640	−	0.0505706i
$172$	−5.77579	+	0.914795i	−0.440400	+	0.0697524i
$173$	−20.4539	−	3.23958i	−1.55508	−	0.246301i	−0.681075	−	0.732213i	$-0.738487\pi$
$173$	−20.4539	−	3.23958i	−1.55508	−	0.246301i	−0.874008	+	0.485912i	$0.838487\pi$
$174$	−1.55125	−	0.504032i	−0.117600	−	0.0382106i
$175$	−2.06145	+	4.55526i	−0.155831	+	0.344346i
$176$	2.44241	+	2.24379i	0.184104	+	0.169132i
$177$	4.50621	+	4.50621i	0.338708	+	0.338708i
$178$	7.32917	−	3.73440i	0.549344	−	0.279905i
$179$	−6.06322	−	8.34531i	−0.453186	−	0.623758i	0.519892	−	0.854232i	$-0.325972\pi$
$179$	−6.06322	−	8.34531i	−0.453186	−	0.623758i	−0.973078	+	0.230474i	$0.925972\pi$
$180$	1.15248	+	0.554017i	0.0859009	+	0.0412940i
$181$	−4.19776	−	12.9194i	−0.312017	−	0.960290i	−0.976965	−	0.213400i	$-0.931546\pi$
$181$	−4.19776	−	12.9194i	−0.312017	−	0.960290i	0.664948	−	0.746890i	$-0.268454\pi$
$182$	2.80599	+	1.42973i	0.207994	+	0.105978i
$183$	−3.76988	−	23.8021i	−0.278677	−	1.75950i
$184$	3.72663	−	2.70756i	0.274731	−	0.199604i
$185$	−0.684928	+	0.522260i	−0.0503569	+	0.0383973i
$186$			5.84875i			0.428851i
$187$	−20.6841	+	0.876673i	−1.51257	+	0.0641087i
$188$	−7.75245	+	7.75245i	−0.565406	+	0.565406i
$189$	−1.71994	+	5.29344i	−0.125107	+	0.385041i
$190$	0.193582	+	8.36544i	0.0140439	+	0.606893i
$191$	−2.37619	−	1.72640i	−0.171935	−	0.124918i	0.498490	−	0.866896i	$-0.333888\pi$
$191$	−2.37619	−	1.72640i	−0.171935	−	0.124918i	−0.670425	+	0.741977i	$0.733888\pi$
$192$	−0.707429	+	1.38841i	−0.0510543	+	0.100200i
$193$	5.72246	−	11.2310i	0.411912	−	0.808423i	−0.588088	−	0.808797i	$-0.700119\pi$
$193$	5.72246	−	11.2310i	0.411912	−	0.808423i	1.00000		0.000374347i	$0.000119158\pi$
$194$	9.65892	+	7.01762i	0.693470	+	0.503836i
$195$	−7.57754	+	7.93654i	−0.542639	+	0.568348i
$196$	−0.309017	+	0.951057i	−0.0220726	+	0.0679326i
$197$	9.56199	−	9.56199i	0.681263	−	0.681263i	−0.279021	−	0.960285i	$-0.590010\pi$
$197$	9.56199	−	9.56199i	0.681263	−	0.681263i	0.960285	+	0.279021i	$0.0900101\pi$
$198$	1.17881	+	1.48585i	0.0837742	+	0.105595i
$199$			13.2035i			0.935973i	0.883736	+	0.467987i	$0.155020\pi$
$199$			13.2035i			0.935973i	−0.883736	+	0.467987i	$0.844980\pi$
$200$	−3.36821	+	3.69529i	−0.238168	+	0.261297i
$201$	−6.58490	+	4.78421i	−0.464463	+	0.337452i
$202$	−0.0727672	−	0.459434i	−0.00511988	−	0.0323257i
$203$	−0.932654	−	0.475211i	−0.0654595	−	0.0333533i
$204$	−3.00573	−	9.25068i	−0.210443	−	0.647677i
$205$	11.6672	−	24.2705i	0.814874	−	1.69512i
$206$	−0.959775	−	1.32102i	−0.0668707	−	0.0920396i
$207$	2.34711	−	1.19591i	0.163135	−	0.0831216i
$208$	2.22685	+	2.22685i	0.154404	+	0.154404i
$209$	−5.16126	+	11.2872i	−0.357012	+	0.780752i
$210$	−2.86552	−	1.98229i	−0.197740	−	0.136791i
$211$	−9.90100	−	3.21703i	−0.681613	−	0.221469i	−0.0523116	−	0.998631i	$-0.516659\pi$
$211$	−9.90100	−	3.21703i	−0.681613	−	0.221469i	−0.629301	+	0.777161i	$0.716659\pi$
$212$	−10.7455	−	1.70192i	−0.738003	−	0.116888i
$213$	6.97477	−	1.10469i	0.477903	−	0.0756925i
$214$	−7.49703	+	2.43593i	−0.512487	+	0.166517i
$215$	3.75194	−	12.5262i	0.255880	−	0.854280i
$216$	−3.27152	+	4.50287i	−0.222599	+	0.306381i
$217$	−0.587164	+	3.70721i	−0.0398593	+	0.251662i
$218$	4.39238	+	8.62053i	0.297489	+	0.583856i
$219$	−20.5560			−1.38904
$220$	−6.88811	+	2.74844i	−0.464396	+	0.185300i
$221$	−19.6579			−1.32233
$222$	−0.272499	−	0.534810i	−0.0182890	−	0.0358941i
$223$	−0.501162	+	3.16421i	−0.0335603	+	0.211891i	−0.998770	−	0.0495862i	$-0.984210\pi$
$223$	−0.501162	+	3.16421i	−0.0335603	+	0.211891i	0.965210	+	0.261478i	$0.0842098\pi$
$224$	−0.587785	+	0.809017i	−0.0392731	+	0.0540547i
$225$	−2.23303	+	1.78587i	−0.148868	+	0.119058i
$226$	−2.75305	+	0.894521i	−0.183130	+	0.0595027i
$227$	−5.81088	+	0.920352i	−0.385681	+	0.0610859i	−0.346265	−	0.938137i	$-0.612550\pi$
$227$	−5.81088	+	0.920352i	−0.385681	+	0.0610859i	−0.0394169	+	0.999223i	$0.512550\pi$
$228$	−5.75939	−	0.912197i	−0.381425	−	0.0604117i
$229$	19.7972	+	6.43251i	1.30824	+	0.425072i	0.878440	−	0.477853i	$-0.158585\pi$
$229$	19.7972	+	6.43251i	1.30824	+	0.425072i	0.429798	+	0.902925i	$0.358585\pi$
$230$	1.84622	+	10.1333i	0.121736	+	0.668173i
$231$	−2.53917	−	4.50134i	−0.167065	−	0.296167i
$232$	−0.740158	−	0.740158i	−0.0485938	−	0.0485938i
$233$	−3.16648	+	1.61340i	−0.207443	+	0.105697i	−0.554625	−	0.832100i	$-0.687138\pi$
$233$	−3.16648	+	1.61340i	−0.207443	+	0.105697i	0.347183	+	0.937798i	$0.387138\pi$
$234$	1.05857	+	1.45699i	0.0692007	+	0.0952466i
$235$	−8.11304	−	23.1340i	−0.529237	−	1.50910i
$236$	1.26378	+	3.88953i	0.0822653	+	0.253187i
$237$	13.8084	+	7.03572i	0.896951	+	0.457019i
$238$	−0.976480	−	6.16525i	−0.0632958	−	0.399634i
$239$	0.985878	−	0.716282i	0.0637711	−	0.0463324i	−0.555443	−	0.831555i	$-0.687451\pi$
$239$	0.985878	−	0.716282i	0.0637711	−	0.0463324i	0.619214	+	0.785222i	$0.287451\pi$
$240$	−2.11271	−	2.77076i	−0.136375	−	0.178852i
$241$			7.57515i			0.487958i	0.969781	+	0.243979i	$0.0784528\pi$
$241$			7.57515i			0.487958i	−0.969781	+	0.243979i	$0.921547\pi$
$242$	−10.9712	−	0.795295i	−0.705256	−	0.0511235i
$243$	−4.14099	+	4.14099i	−0.265644	+	0.265644i
$244$	4.77904	−	14.7084i	0.305947	−	0.941607i
$245$	−1.61729	−	1.54414i	−0.103325	−	0.0986513i
$246$	15.1821	+	11.0304i	0.967975	+	0.703275i
$247$	−5.35023	+	10.5004i	−0.340427	+	0.668126i
$248$	−1.70402	+	3.34432i	−0.108205	+	0.212365i
$249$	20.3894	+	14.8138i	1.29212	+	0.938783i
$250$	−4.18404	−	10.3679i	−0.264622	−	0.655725i
$251$	−3.66006	+	11.2645i	−0.231021	+	0.711010i	0.766603	+	0.642121i	$0.221945\pi$
$251$	−3.66006	+	11.2645i	−0.231021	+	0.711010i	−0.997624	+	0.0688888i	$0.978055\pi$
$252$	−0.404370	+	0.404370i	−0.0254729	+	0.0254729i
$253$	−4.10152	+	14.7167i	−0.257861	+	0.925234i
$254$			7.43679i			0.466626i
$255$	21.5548	+	2.90451i	1.34982	+	0.181888i
$256$	−0.809017	+	0.587785i	−0.0505636	+	0.0367366i
$257$	2.45409	+	15.4945i	0.153082	+	0.966521i	0.937928	+	0.346830i	$0.112742\pi$
$257$	2.45409	+	15.4945i	0.153082	+	0.966521i	−0.784846	+	0.619691i	$0.787258\pi$
$258$	8.11911	+	4.13689i	0.505474	+	0.257552i
$259$	−0.119032	−	0.366344i	−0.00739631	−	0.0227635i
$260$	−6.64513	+	2.33043i	−0.412113	+	0.144527i
$261$	−0.351845	−	0.484274i	−0.0217787	−	0.0299758i
$262$	8.38977	−	4.27480i	0.518322	−	0.264098i
$263$	−7.79887	−	7.79887i	−0.480899	−	0.480899i	0.424520	−	0.905419i	$-0.360443\pi$
$263$	−7.79887	−	7.79887i	−0.480899	−	0.480899i	−0.905419	+	0.424520i	$0.860443\pi$
$264$	−1.02390	−	5.06568i	−0.0630168	−	0.311771i
$265$	13.8400	−	20.0066i	0.850184	−	1.22900i
$266$	−3.55899	−	1.15638i	−0.218215	−	0.0709025i
$267$	−12.6599	−	2.00513i	−0.774773	−	0.122712i
$268$	−5.15912	+	0.817124i	−0.315143	+	0.0499138i
$269$	−3.32018	+	1.07879i	−0.202435	+	0.0657750i	−0.408479	−	0.912768i	$-0.633941\pi$
$269$	−3.32018	+	1.07879i	−0.202435	+	0.0657750i	0.206045	+	0.978543i	$0.433941\pi$
$270$	−5.90522	−	10.9554i	−0.359380	−	0.666727i
$271$	−8.05499	+	11.0867i	−0.489306	+	0.673472i	−0.980260	−	0.197714i	$-0.936648\pi$
$271$	−8.05499	+	11.0867i	−0.489306	+	0.673472i	0.490954	+	0.871186i	$0.336648\pi$
$272$	0.976480	−	6.16525i	0.0592078	−	0.373823i
$273$	−2.22787	−	4.37243i	−0.134837	−	0.264632i
$274$	−19.2826			−1.16490
$275$	1.13420	−	16.5443i	0.0683947	−	0.997658i
$276$	−7.17786			−0.432057
$277$	−5.25155	−	10.3067i	−0.315535	−	0.619273i	0.677707	−	0.735332i	$-0.262974\pi$
$277$	−5.25155	−	10.3067i	−0.315535	−	0.619273i	−0.993242	+	0.116059i	$0.962974\pi$
$278$	−2.50264	+	15.8010i	−0.150098	+	0.947683i
$279$	−1.26165	+	1.73651i	−0.0755331	+	0.103962i
$280$	−1.06097	−	1.96833i	−0.0634053	−	0.117630i
$281$	6.90398	−	2.24324i	0.411857	−	0.133820i	−0.0957577	−	0.995405i	$-0.530527\pi$
$281$	6.90398	−	2.24324i	0.411857	−	0.133820i	0.507615	+	0.861584i	$0.330527\pi$
$282$	16.8737	−	2.67253i	1.00481	−	0.159147i
$283$	22.2496	+	3.52399i	1.32260	+	0.209479i	0.777496	−	0.628888i	$-0.216490\pi$
$283$	22.2496	+	3.52399i	1.32260	+	0.209479i	0.545105	+	0.838368i	$0.316490\pi$
$284$	4.31003	+	1.40041i	0.255753	+	0.0830992i
$285$	7.41799	−	10.7232i	0.439404	−	0.635187i
$286$	−10.3762	−	1.19562i	−0.613557	−	0.0706984i
$287$	8.51574	+	8.51574i	0.502668	+	0.502668i
$288$	−0.509536	+	0.259621i	−0.0300247	+	0.0152983i
$289$	12.9100	+	17.7691i	0.759414	+	1.04524i
$290$	2.20870	−	0.774585i	0.129699	−	0.0454852i
$291$	−5.74897	−	17.6935i	−0.337010	−	1.03721i
$292$	−11.7539	−	5.98892i	−0.687846	−	0.350475i
$293$	3.12638	+	19.7392i	0.182645	+	1.15318i	0.893242	+	0.449577i	$0.148425\pi$
$293$	3.12638	+	19.7392i	0.182645	+	1.15318i	−0.710596	+	0.703600i	$0.751575\pi$
$294$	1.26065	−	0.915915i	0.0735225	−	0.0534172i
$295$	−9.06291	−	1.22123i	−0.527663	−	0.0711026i
$296$		−	0.385197i		−	0.0223891i
$297$	−0.781696	−	18.4433i	−0.0453586	−	1.07019i
$298$	−6.78088	+	6.78088i	−0.392806	+	0.392806i
$299$	−4.48278	+	13.7966i	−0.259246	+	0.797876i
$300$	7.63070	−	1.57347i	0.440559	−	0.0908444i
$301$	4.73095	+	3.43724i	0.272688	+	0.198119i
$302$	−9.69712	+	19.0317i	−0.558006	+	1.09515i
$303$	−0.329069	+	0.645834i	−0.0189045	+	0.0371022i
$304$	−3.02745	−	2.19957i	−0.173636	−	0.126154i
$305$	25.0119	+	23.8805i	1.43218	+	1.36740i
$306$	1.10308	−	3.39493i	0.0630589	−	0.194075i
$307$	18.3670	−	18.3670i	1.04826	−	1.04826i	0.0494849	−	0.998775i	$-0.484242\pi$
$307$	18.3670	−	18.3670i	1.04826	−	1.04826i	0.998775	−	0.0494849i	$-0.0157580\pi$
$308$	−0.140445	−	3.31365i	−0.00800260	−	0.188813i
$309$			2.54441i			0.144746i
$310$	−5.08898	−	6.67405i	−0.289035	−	0.379061i
$311$	10.7451	−	7.80674i	0.609296	−	0.442680i	−0.239870	−	0.970805i	$-0.577105\pi$
$311$	10.7451	−	7.80674i	0.609296	−	0.442680i	0.849166	+	0.528125i	$0.177105\pi$
$312$	−0.767670	−	4.84688i	−0.0434608	−	0.274401i
$313$	−21.3184	−	10.8623i	−1.20499	−	0.613972i	−0.268029	−	0.963411i	$-0.586372\pi$
$313$	−21.3184	−	10.8623i	−1.20499	−	0.613972i	−0.936959	+	0.349439i	$0.886372\pi$
$314$	−4.91557	−	15.1286i	−0.277401	−	0.853754i
$315$	−0.423178	−	1.20668i	−0.0238434	−	0.0679885i
$316$	5.84580	+	8.04606i	0.328852	+	0.452626i
$317$	−9.53535	+	4.85850i	−0.535559	+	0.272881i	−0.700782	−	0.713375i	$-0.747165\pi$
$317$	−9.53535	+	4.85850i	−0.535559	+	0.272881i	0.165224	+	0.986256i	$0.447165\pi$
$318$	11.9875	+	11.9875i	0.672224	+	0.672224i
$319$	3.44883	+	0.397399i	0.193097	+	0.0222501i
$320$	−0.400798	−	2.19985i	−0.0224053	−	0.122976i
$321$	11.6822	+	3.79579i	0.652039	+	0.211860i
$322$	−4.54966	−	0.720595i	−0.253542	−	0.0401572i
$323$	23.0712	−	3.65413i	1.28372	−	0.203321i
$324$	6.61686	−	2.14995i	0.367603	−	0.119441i
$325$	1.74122	−	15.6496i	0.0965852	−	0.868086i
$326$	14.8313	−	20.4135i	0.821428	−	1.13060i
$327$	2.35842	−	14.8905i	0.130421	−	0.823446i
$328$	5.46744	+	10.7305i	0.301889	+	0.592491i
$329$	10.9636			0.604444
$330$	11.2008	+	2.84411i	0.616585	+	0.156563i
$331$	−11.6835			−0.642186			−0.321093	−	0.947048i	$-0.604050\pi$
$331$	−11.6835			−0.642186			−0.321093	+	0.947048i	$0.604050\pi$
$332$	7.34272	+	14.4109i	0.402984	+	0.790901i
$333$	0.0344595	−	0.217568i	0.00188837	−	0.0119227i
$334$	3.05522	−	4.20515i	0.167174	−	0.230096i
$335$	3.35135	−	11.1888i	0.183104	−	0.611310i
$336$	1.48198	−	0.481525i	0.0808487	−	0.0262693i
$337$	0.588893	−	0.0932715i	0.0320791	−	0.00508082i	−0.140374	−	0.990099i	$-0.544831\pi$
$337$	0.588893	−	0.0932715i	0.0320791	−	0.00508082i	0.172453	+	0.985018i	$0.444831\pi$
$338$	3.04433	+	0.482175i	0.165590	+	0.0262269i
$339$	4.28994	+	1.39389i	0.232997	+	0.0757055i
$340$	11.4788	+	7.94074i	0.622528	+	0.430647i
$341$	−2.46631	−	12.2019i	−0.133558	−	0.660771i
$342$	−1.51321	−	1.51321i	−0.0818249	−	0.0818249i
$343$	0.891007	−	0.453990i	0.0481098	−	0.0245132i
$344$	3.43724	+	4.73095i	0.185324	+	0.255076i
$345$	6.95384	−	14.4656i	0.374382	−	0.778800i
$346$	6.39940	+	19.6953i	0.344034	+	1.05883i
$347$	11.3312	+	5.77352i	0.608289	+	0.309939i	0.730867	−	0.682520i	$-0.239116\pi$
$347$	11.3312	+	5.77352i	0.608289	+	0.309939i	−0.122578	+	0.992459i	$0.539116\pi$
$348$	0.255158	+	1.61100i	0.0136779	+	0.0863587i
$349$	5.02124	−	3.64815i	0.268781	−	0.195281i	−0.445228	−	0.895417i	$-0.646877\pi$
$349$	5.02124	−	3.64815i	0.268781	−	0.195281i	0.714009	+	0.700136i	$0.246877\pi$
$350$	4.99465	−	0.231283i	0.266975	−	0.0123626i
$351$		−	17.5282i		−	0.935586i
$352$	0.890403	−	3.19487i	0.0474586	−	0.170287i
$353$	−4.77733	+	4.77733i	−0.254271	+	0.254271i	−0.822719	−	0.568448i	$-0.807544\pi$
$353$	−4.77733	+	4.77733i	−0.254271	+	0.254271i	0.568448	+	0.822719i	$0.307544\pi$
$354$	1.96929	−	6.06084i	0.104666	−	0.322130i
$355$	−6.99776	+	7.32930i	−0.371403	+	0.388999i
$356$	−6.65475	−	4.83496i	−0.352701	−	0.256252i
$357$	−4.41585	+	8.66659i	−0.233711	+	0.458685i
$358$	−4.68308	+	9.19106i	−0.247508	+	0.485763i
$359$	−8.76334	−	6.36694i	−0.462511	−	0.336034i	0.332004	−	0.943278i	$-0.392275\pi$
$359$	−8.76334	−	6.36694i	−0.462511	−	0.336034i	−0.794516	+	0.607244i	$0.792275\pi$
$360$	−0.0295827	−	1.27839i	−0.00155915	−	0.0673769i
$361$	−1.54397	+	4.75185i	−0.0812616	+	0.250097i
$362$	−9.60550	+	9.60550i	−0.504854	+	0.504854i
$363$	13.1024	+	11.0513i	0.687699	+	0.580042i
$364$		−	3.14924i		−	0.165065i
$365$	23.4565	−	17.8857i	1.22777	−	0.936180i
$366$	−19.4963	+	14.1649i	−1.01909	+	0.740411i
$367$	−3.96729	−	25.0485i	−0.207091	−	1.30752i	−0.843901	−	0.536499i	$-0.819747\pi$
$367$	−3.96729	−	25.0485i	−0.207091	−	1.30752i	0.636811	−	0.771020i	$-0.280253\pi$
$368$	−4.10431	−	2.09125i	−0.213952	−	0.109014i
$369$	2.12821	+	6.54994i	0.110790	+	0.340976i
$370$	0.776288	+	0.373175i	0.0403573	+	0.0194004i
$371$	6.39477	+	8.80164i	0.332000	+	0.456958i
$372$	5.21128	−	2.65528i	0.270192	−	0.137670i
$373$	14.2708	+	14.2708i	0.738913	+	0.738913i	0.972368	−	0.233455i	$-0.0750030\pi$
$373$	14.2708	+	14.2708i	0.738913	+	0.738913i	−0.233455	+	0.972368i	$0.575003\pi$
$374$	10.1715	+	18.0317i	0.525957	+	0.932397i
$375$	−4.22152	+	16.9025i	−0.217998	+	0.872843i
$376$	10.4270	+	3.38795i	0.537733	+	0.174720i
$377$	3.25586	+	0.515677i	0.167685	+	0.0265587i
$378$	5.49732	−	0.870691i	0.282752	−	0.0447835i
$379$	20.9474	−	6.80621i	1.07599	−	0.349612i	0.283175	−	0.959068i	$-0.408612\pi$
$379$	20.9474	−	6.80621i	1.07599	−	0.349612i	0.792819	+	0.609457i	$0.208612\pi$
$380$	7.36578	−	3.97031i	0.377856	−	0.203673i
$381$	6.81147	−	9.37518i	0.348962	−	0.480305i
$382$	−0.459469	+	2.90097i	−0.0235085	+	0.148427i
$383$	−1.73746	−	3.40997i	−0.0887803	−	0.174241i	0.842347	−	0.538936i	$-0.181173\pi$
$383$	−1.73746	−	3.40997i	−0.0887803	−	0.174241i	−0.931127	+	0.364695i	$0.881173\pi$
$384$	1.55825			0.0795190
$385$	6.81407	+	2.92719i	0.347277	+	0.149183i
$386$	−12.6048			−0.641568
$387$	1.51821	+	2.97965i	0.0771749	+	0.151464i
$388$	1.86768	−	11.7921i	0.0948173	−	0.598653i
$389$	13.4814	−	18.5555i	0.683532	−	0.940801i	−0.316438	−	0.948613i	$-0.602487\pi$
$389$	13.4814	−	18.5555i	0.683532	−	0.940801i	0.999969	+	0.00781271i	$0.00248689\pi$
$390$	10.5116	+	3.14852i	0.532278	+	0.159432i
$391$	27.3461	−	8.88530i	1.38295	−	0.449349i
$392$	0.987688	−	0.156434i	0.0498858	−	0.00790113i
$393$	−14.4919	−	2.29529i	−0.731020	−	0.115782i
$394$	−12.8608	−	4.17874i	−0.647920	−	0.210522i
$395$	−21.8786	+	3.98612i	−1.10083	+	0.200564i
$396$	0.788733	−	1.72489i	0.0396353	−	0.0866787i
$397$	8.99341	+	8.99341i	0.451366	+	0.451366i	0.895808	−	0.444442i	$-0.146598\pi$
$397$	8.99341	+	8.99341i	0.451366	+	0.451366i	−0.444442	+	0.895808i	$0.646598\pi$
$398$	11.7644	−	5.99428i	0.589698	−	0.300466i
$399$	3.42748	+	4.71752i	0.171589	+	0.236172i
$400$	4.82166	+	1.32347i	0.241083	+	0.0661734i
$401$	4.50283	+	13.8583i	0.224861	+	0.692050i	0.998306	+	0.0581868i	$0.0185319\pi$
$401$	4.50283	+	13.8583i	0.224861	+	0.692050i	−0.773445	+	0.633863i	$0.781468\pi$
$402$	7.25225	+	3.69521i	0.361709	+	0.184300i
$403$	−1.84912	−	11.6749i	−0.0921113	−	0.581568i
$404$	−0.376323	+	0.273415i	−0.0187228	+	0.0136029i
$405$	−2.07755	+	15.4178i	−0.103234	+	0.766117i
$406$			1.04674i			0.0519489i
$407$	0.794020	+	1.00084i	0.0393581	+	0.0496096i
$408$	−6.87785	+	6.87785i	−0.340504	+	0.340504i
$409$	11.4318	−	35.1834i	0.565265	−	1.73971i	−0.101896	−	0.994795i	$-0.532491\pi$
$409$	11.4318	−	35.1834i	0.565265	−	1.73971i	0.667161	−	0.744913i	$-0.267509\pi$
$410$	−26.9219	+	0.622991i	−1.32958	+	0.0307673i
$411$	24.3086	+	17.6612i	1.19905	+	0.871163i
$412$	−0.741306	+	1.45489i	−0.0365215	+	0.0716775i
$413$	1.85668	−	3.64394i	0.0913613	−	0.179307i
$414$	−2.13113	−	1.54836i	−0.104739	−	0.0760976i
$415$	−36.1559	+	0.836670i	−1.77482	+	0.0410705i
$416$	0.973169	−	2.99511i	0.0477135	−	0.146847i
$417$	17.6273	−	17.6273i	0.863215	−	0.863215i
$418$	12.4001	−	0.525565i	0.606511	−	0.0257062i
$419$			4.03308i			0.197029i	0.995136	+	0.0985144i	$0.0314090\pi$
$419$			4.03308i			0.197029i	−0.995136	+	0.0985144i	$0.968591\pi$
$420$	−0.465310	+	3.45314i	−0.0227048	+	0.168496i
$421$	6.33475	−	4.60247i	0.308737	−	0.224310i	−0.422617	−	0.906308i	$-0.638889\pi$
$421$	6.33475	−	4.60247i	0.308737	−	0.224310i	0.731354	+	0.681998i	$0.238889\pi$
$422$	1.62857	+	10.2824i	0.0792773	+	0.500537i
$423$	5.58636	+	2.84639i	0.271618	+	0.138396i
$424$	3.36193	+	10.3470i	0.163270	+	0.502492i
$425$	−27.1236	+	15.4405i	−1.31569	+	0.748972i
$426$	−4.15077	−	5.71304i	−0.201105	−	0.276798i
$427$	−13.7797	+	7.02110i	−0.666845	+	0.339775i
$428$	5.57401	+	5.57401i	0.269430	+	0.269430i
$429$	11.9856	+	11.0110i	0.578673	+	0.531614i
$430$	−12.8643	+	2.34378i	−0.620370	+	0.113027i
$431$	−16.4829	−	5.35561i	−0.793952	−	0.257971i	−0.116166	−	0.993230i	$-0.537060\pi$
$431$	−16.4829	−	5.35561i	−0.793952	−	0.257971i	−0.677786	+	0.735259i	$0.737060\pi$
$432$	5.49732	+	0.870691i	0.264490	+	0.0418911i
$433$	−29.5009	+	4.67248i	−1.41772	+	0.224545i	−0.817795	−	0.575510i	$-0.804803\pi$
$433$	−29.5009	+	4.67248i	−1.41772	+	0.224545i	−0.599926	+	0.800055i	$0.704803\pi$
$434$	3.56971	−	1.15987i	0.171352	−	0.0556755i
$435$	−3.49385	−	1.04650i	−0.167517	−	0.0501759i
$436$	5.68685	−	7.82727i	0.272351	−	0.374858i
$437$	2.69657	−	17.0255i	0.128994	−	0.814438i
$438$	9.33221	+	18.3155i	0.445910	+	0.875148i
$439$	−5.46331			−0.260750			−0.130375	−	0.991465i	$-0.541618\pi$
$439$	−5.46331			−0.260750			−0.130375	+	0.991465i	$0.541618\pi$
$440$	5.57601	+	4.88959i	0.265826	+	0.233102i
$441$	0.571865			0.0272317
$442$	8.92450	+	17.5153i	0.424495	+	0.833118i
$443$	−2.76893	+	17.4824i	−0.131556	+	0.830612i	0.830352	+	0.557239i	$0.188139\pi$
$443$	−2.76893	+	17.4824i	−0.131556	+	0.830612i	−0.961908	+	0.273373i	$0.911861\pi$
$444$	−0.352807	+	0.485597i	−0.0167435	+	0.0230454i
$445$	16.1910	−	8.72727i	0.767525	−	0.413712i
$446$	3.04686	−	0.989984i	0.144273	−	0.0468771i
$447$	14.7590	−	2.33760i	0.698078	−	0.110565i
$448$	0.987688	+	0.156434i	0.0466639	+	0.00739083i
$449$	31.4239	+	10.2102i	1.48299	+	0.481851i	0.935003	−	0.354639i	$-0.115396\pi$
$449$	31.4239	+	10.2102i	1.48299	+	0.481851i	0.547982	+	0.836490i	$0.315396\pi$
$450$	2.60500	+	1.17887i	0.122801	+	0.0555725i
$451$	−36.3249	−	16.6102i	−1.71047	−	0.782142i
$452$	2.04688	+	2.04688i	0.0962773	+	0.0962773i
$453$	29.6560	−	15.1105i	1.39336	−	0.709954i
$454$	3.45812	+	4.75970i	0.162298	+	0.223384i
$455$	6.34667	+	3.05095i	0.297537	+	0.143031i
$456$	1.80193	+	5.54578i	0.0843833	+	0.259705i
$457$	−27.0241	−	13.7695i	−1.26414	−	0.644109i	−0.312086	−	0.950054i	$-0.601028\pi$
$457$	−27.0241	−	13.7695i	−1.26414	−	0.644109i	−0.952049	+	0.305944i	$0.901028\pi$
$458$	−3.25635	−	20.5598i	−0.152159	−	0.960694i
$459$	−28.1074	+	20.4212i	−1.31194	+	0.953180i
$460$	8.19071	−	6.24544i	0.381894	−	0.291195i
$461$		−	20.0694i		−	0.934725i	−0.884066	−	0.467363i	$-0.845204\pi$
$461$		−	20.0694i		−	0.934725i	0.884066	−	0.467363i	$-0.154796\pi$
$462$	−2.85797	+	4.30598i	−0.132965	+	0.200332i
$463$	−11.7822	+	11.7822i	−0.547566	+	0.547566i	−0.925736	−	0.378170i	$-0.876553\pi$
$463$	−11.7822	+	11.7822i	−0.547566	+	0.547566i	0.378170	+	0.925736i	$0.376553\pi$
$464$	−0.323461	+	0.995510i	−0.0150163	+	0.0462154i
$465$	0.302557	+	13.0747i	0.0140308	+	0.606325i
$466$	2.87510	+	2.08888i	0.133187	+	0.0967657i
$467$	4.97976	−	9.77333i	0.230436	−	0.452256i	−0.746617	−	0.665255i	$-0.768323\pi$
$467$	4.97976	−	9.77333i	0.230436	−	0.452256i	0.977052	+	0.212999i	$0.0683230\pi$
$468$	0.817610	−	1.60465i	0.0377940	−	0.0741750i
$469$	4.22584	+	3.07025i	0.195131	+	0.141771i
$470$	−16.9293	+	17.7314i	−0.780892	+	0.817889i
$471$	−7.65967	+	23.5740i	−0.352939	+	1.08623i
$472$	2.89185	−	2.89185i	0.133108	−	0.133108i
$473$	−18.6829	−	5.20688i	−0.859040	−	0.239413i
$474$		−	15.4975i		−	0.711824i
$475$	0.865492	+	18.6907i	0.0397115	+	0.857587i
$476$	−5.04997	+	3.66902i	−0.231465	+	0.168169i
$477$	0.973267	+	6.14497i	0.0445629	+	0.281359i
$478$	−1.08579	−	0.553238i	−0.0496629	−	0.0253045i
$479$	0.175258	+	0.539390i	0.00800776	+	0.0246454i	0.954981	−	0.296668i	$-0.0958756\pi$
$479$	0.175258	+	0.539390i	0.00800776	+	0.0246454i	−0.946973	+	0.321314i	$0.895876\pi$
$480$	−1.50961	+	3.14034i	−0.0689042	+	0.143336i
$481$	0.713029	+	0.981400i	0.0325113	+	0.0447480i
$482$	6.74950	−	3.43904i	0.307432	−	0.156644i
$483$	5.07552	+	5.07552i	0.230944	+	0.230944i
$484$	4.27221	+	10.1365i	0.194191	+	0.460749i
$485$	21.9553	+	15.1880i	0.996937	+	0.689652i
$486$	5.56961	+	1.80968i	0.252643	+	0.0820886i
$487$	−21.7033	−	3.43746i	−0.983469	−	0.155766i	−0.356066	−	0.934461i	$-0.615882\pi$
$487$	−21.7033	−	3.43746i	−0.983469	−	0.155766i	−0.627403	+	0.778695i	$0.715882\pi$
$488$	−15.2749	+	2.41930i	−0.691462	+	0.109517i
$489$	−37.3940	+	12.1501i	−1.69102	+	0.549445i
$490$	−0.641600	+	2.14204i	−0.0289845	+	0.0967677i
$491$	−11.3419	+	15.6108i	−0.511854	+	0.704507i	−0.984231	−	0.176890i	$-0.943396\pi$
$491$	−11.3419	+	15.6108i	−0.511854	+	0.704507i	0.472376	+	0.881397i	$0.343396\pi$
$492$	2.93566	−	18.5351i	0.132350	−	0.835625i
$493$	−2.96632	−	5.82172i	−0.133596	−	0.262197i
$494$	11.7849			0.530228
$495$	2.71205	+	3.26059i	0.121898	+	0.146552i
$496$	3.75342			0.168533
$497$	−2.05741	−	4.03789i	−0.0922873	−	0.181124i
$498$	3.94256	−	24.8924i	0.176671	−	1.11545i
$499$	2.50438	−	3.44699i	0.112112	−	0.154308i	−0.749274	−	0.662260i	$-0.769597\pi$
$499$	2.50438	−	3.44699i	0.112112	−	0.154308i	0.861385	+	0.507952i	$0.169597\pi$
$500$	−7.33837	+	8.43495i	−0.328182	+	0.377222i
$501$	−7.70312	+	2.50290i	−0.344150	+	0.111821i
$502$	11.6984	−	1.85284i	0.522125	−	0.0826964i
$503$	28.0489	+	4.44252i	1.25064	+	0.198082i	0.746410	−	0.665487i	$-0.231776\pi$
$503$	28.0489	+	4.44252i	1.25064	+	0.198082i	0.504231	+	0.863569i	$0.331776\pi$
$504$	0.543876	+	0.176716i	0.0242262	+	0.00787156i
$505$	−0.186436	−	1.02329i	−0.00829627	−	0.0455357i
$506$	14.9748	−	3.02678i	0.665710	−	0.134557i
$507$	−3.39620	−	3.39620i	−0.150831	−	0.150831i
$508$	6.62623	−	3.37623i	0.293991	−	0.149796i
$509$	−3.52356	−	4.84976i	−0.156179	−	0.214962i	0.723756	−	0.690056i	$-0.242414\pi$
$509$	−3.52356	−	4.84976i	−0.156179	−	0.214962i	−0.879935	+	0.475094i	$0.842414\pi$
$510$	−7.19775	−	20.5241i	−0.318722	−	0.908824i
$511$	4.07647	+	12.5461i	0.180332	+	0.555006i
$512$	0.891007	+	0.453990i	0.0393773	+	0.0200637i
$513$	3.25825	+	20.5718i	0.143855	+	0.908265i
$514$	12.6916	−	9.22097i	0.559801	−	0.406720i
$515$	−2.21388	−	2.90344i	−0.0975554	−	0.127941i
$516$		−	9.11229i		−	0.401146i
$517$	−34.0757	+	12.6909i	−1.49865	+	0.558145i
$518$	−0.272375	+	0.272375i	−0.0119675	+	0.0119675i
$519$	9.97184	−	30.6902i	0.437715	−	1.34715i
$520$	5.09325	+	4.86286i	0.223354	+	0.213250i
$521$	11.8358	+	8.59924i	0.518537	+	0.376740i	0.816053	−	0.577978i	$-0.196158\pi$
$521$	11.8358	+	8.59924i	0.518537	+	0.376740i	−0.297515	+	0.954717i	$0.596158\pi$
$522$	−0.271757	+	0.533352i	−0.0118945	+	0.0233442i
$523$	14.8465	−	29.1380i	0.649194	−	1.27411i	−0.298341	−	0.954459i	$-0.596433\pi$
$523$	14.8465	−	29.1380i	0.649194	−	1.27411i	0.947534	−	0.319655i	$-0.103567\pi$
$524$	−7.61776	−	5.53462i	−0.332783	−	0.241781i
$525$	−6.50833	−	4.28311i	−0.284047	−	0.186930i
$526$	−3.40823	+	10.4895i	−0.148606	+	0.457362i
$527$	−16.5670	+	16.5670i	−0.721668	+	0.721668i
$528$	−4.04871	+	3.21207i	−0.176198	+	0.139788i
$529$			1.78136i			0.0774505i
$530$	−24.1092	−	3.24872i	−1.04724	−	0.141115i
$531$	1.89209	−	1.37468i	0.0821097	−	0.0596562i
$532$	0.585400	+	3.69607i	0.0253803	+	0.160245i
$533$	−33.7928	−	17.2183i	−1.46373	−	0.745807i
$534$	3.96089	+	12.1904i	0.171404	+	0.527528i
$535$	−16.6334	+	5.83328i	−0.719124	+	0.252195i
$536$	3.07025	+	4.22584i	0.132615	+	0.182528i
$537$	14.3219	−	7.29740i	0.618038	−	0.314906i
$538$	2.46854	+	2.46854i	0.106426	+	0.106426i
$539$	−2.24379	+	2.44241i	−0.0966471	+	0.105202i
$540$	−7.08046	+	10.2353i	−0.304694	+	0.440455i
$541$	24.7146	+	8.03025i	1.06256	+	0.345248i	0.787587	−	0.616204i	$-0.211330\pi$
$541$	24.7146	+	8.03025i	1.06256	+	0.345248i	0.274976	+	0.961451i	$0.411330\pi$
$542$	13.5353	+	2.14377i	0.581389	+	0.0920830i
$543$	20.9070	−	3.31134i	0.897205	−	0.142103i
$544$	−5.93659	+	1.92892i	−0.254529	+	0.0827016i
$545$	10.2650	+	19.0437i	0.439703	+	0.815743i
$546$	−2.88444	+	3.97009i	−0.123442	+	0.169904i
$547$	−1.44538	+	9.12574i	−0.0617998	+	0.390188i	0.937329	+	0.348447i	$0.113291\pi$
$547$	−1.44538	+	9.12574i	−0.0617998	+	0.390188i	−0.999128	+	0.0417419i	$0.986709\pi$
$548$	8.75411	+	17.1809i	0.373957	+	0.733932i
$549$	−8.84406			−0.377455
$550$	−15.2560	+	6.50037i	−0.650517	+	0.277177i
$551$	−3.91705			−0.166872
$552$	3.25868	+	6.39552i	0.138699	+	0.272212i
$553$	1.55581	−	9.82303i	0.0661600	−	0.417718i
$554$	−6.79923	+	9.35833i	−0.288871	+	0.397597i
$555$	−0.636830	−	1.18146i	−0.0270319	−	0.0501500i
$556$	15.2150	−	4.94365i	0.645260	−	0.209658i
$557$	−37.2115	+	5.89372i	−1.57670	+	0.249725i	−0.882590	−	0.470143i	$-0.844202\pi$
$557$	−37.2115	+	5.89372i	−1.57670	+	0.249725i	−0.694111	+	0.719868i	$0.744202\pi$
$558$	2.12002	+	0.335779i	0.0897477	+	0.0142146i
$559$	−17.5147	−	5.69088i	−0.740794	−	0.240699i
$560$	−1.27213	+	1.83894i	−0.0537571	+	0.0777094i
$561$	3.69279	−	32.0479i	0.155910	−	1.35306i
$562$	−5.13308	−	5.13308i	−0.216526	−	0.216526i
$563$	−15.3106	+	7.80112i	−0.645263	+	0.328778i	−0.745814	−	0.666154i	$-0.767939\pi$
$563$	−15.3106	+	7.80112i	−0.645263	+	0.328778i	0.100551	+	0.994932i	$0.467939\pi$
$564$	−10.0417	−	13.8213i	−0.422834	−	0.581981i
$565$	−6.10809	+	2.14209i	−0.256969	+	0.0901184i
$566$	−6.96121	−	21.4244i	−0.292601	−	0.900534i
$567$	−6.19907	−	3.15858i	−0.260336	−	0.132648i
$568$	−0.708934	−	4.47604i	−0.0297462	−	0.187810i
$569$	−10.5608	+	7.67287i	−0.442732	+	0.321664i	−0.786720	−	0.617311i	$-0.788222\pi$
$569$	−10.5608	+	7.67287i	−0.442732	+	0.321664i	0.343988	+	0.938974i	$0.388222\pi$
$570$	−12.9221	−	1.74126i	−0.541248	−	0.0729331i
$571$		−	24.7187i		−	1.03445i	−0.855851	−	0.517223i	$-0.826966\pi$
$571$		−	24.7187i		−	1.03445i	0.855851	−	0.517223i	$-0.173034\pi$
$572$	3.64539	+	9.78806i	0.152421	+	0.409259i
$573$	3.23627	−	3.23627i	0.135197	−	0.135197i
$574$	3.72152	−	11.4536i	0.155333	−	0.478066i
$575$	4.65137	+	22.5573i	0.193976	+	0.940703i
$576$	0.462649	+	0.336134i	0.0192770	+	0.0140056i
$577$	−7.10391	+	13.9422i	−0.295740	+	0.580422i	−0.990289	−	0.139023i	$-0.955604\pi$
$577$	−7.10391	+	13.9422i	−0.295740	+	0.580422i	0.694550	+	0.719445i	$0.255604\pi$
$578$	9.97139	−	19.5699i	0.414755	−	0.814003i
$579$	15.8902	+	11.5449i	0.660375	+	0.479791i
$580$	−1.69289	−	1.61631i	−0.0702934	−	0.0671137i
$581$	4.99796	−	15.3821i	0.207350	−	0.638158i
$582$	−13.1550	+	13.1550i	−0.545294	+	0.545294i
$583$	−30.0637	−	19.9539i	−1.24511	−	0.826405i
$584$			13.1917i			0.545877i
$585$	2.44176	+	3.20230i	0.100955	+	0.132399i
$586$	16.1684	−	11.7470i	0.667911	−	0.485266i
$587$	−4.76982	−	30.1155i	−0.196872	−	1.24300i	−0.866073	−	0.499917i	$-0.833364\pi$
$587$	−4.76982	−	30.1155i	−0.196872	−	1.24300i	0.669202	−	0.743081i	$-0.266636\pi$
$588$	−1.38841	−	0.707429i	−0.0572570	−	0.0291739i
$589$	4.34039	+	13.3584i	0.178843	+	0.550422i
$590$	3.02636	+	8.62954i	0.124593	+	0.355273i
$591$	12.3856	+	17.0474i	0.509477	+	0.701235i
$592$	−0.343213	+	0.174876i	−0.0141060	+	0.00718734i
$593$	14.4069	+	14.4069i	0.591619	+	0.591619i	0.938069	−	0.346450i	$-0.112613\pi$
$593$	14.4069	+	14.4069i	0.591619	+	0.591619i	−0.346450	+	0.938069i	$0.612613\pi$
$594$	−16.0782	+	9.06957i	−0.659696	+	0.372129i
$595$	−2.50182	−	13.7317i	−0.102565	−	0.562946i
$596$	9.12026	+	2.96335i	0.373581	+	0.121384i
$597$	−20.3211	−	3.21854i	−0.831686	−	0.131726i
$598$	14.3280	−	2.26933i	0.585914	−	0.0927997i
$599$	21.1257	−	6.86414i	0.863171	−	0.280461i	0.156219	−	0.987723i	$-0.450070\pi$
$599$	21.1257	−	6.86414i	0.863171	−	0.280461i	0.706952	+	0.707261i	$0.250070\pi$
$600$	−4.86624	−	6.08466i	−0.198663	−	0.248405i
$601$	−0.767173	+	1.05592i	−0.0312936	+	0.0430720i	−0.824377	−	0.566041i	$-0.808474\pi$
$601$	−0.767173	+	1.05592i	−0.0312936	+	0.0430720i	0.793083	+	0.609113i	$0.208474\pi$
$602$	0.914795	−	5.77579i	0.0372842	−	0.235403i
$603$	1.35611	+	2.66152i	0.0552252	+	0.108386i
$604$	21.3597			0.869115
$605$	−24.5670	−	1.21032i	−0.998789	−	0.0492063i
$606$	0.724836			0.0294444
$607$	−3.98317	−	7.81742i	−0.161672	−	0.317299i	0.795932	−	0.605385i	$-0.206981\pi$
$607$	−3.98317	−	7.81742i	−0.161672	−	0.317299i	−0.957604	+	0.288086i	$0.906981\pi$
$608$	−0.585400	+	3.69607i	−0.0237411	+	0.149895i
$609$	0.958726	−	1.31957i	0.0388495	−	0.0534718i
$610$	9.92253	−	33.1273i	0.401751	−	1.34129i
$611$	−32.8372	+	10.6695i	−1.32845	+	0.431640i
$612$	−3.52569	+	0.558415i	−0.142518	+	0.0225726i
$613$	23.6104	+	3.73952i	0.953614	+	0.151038i	0.613806	−	0.789457i	$-0.289638\pi$
$613$	23.6104	+	3.73952i	0.953614	+	0.151038i	0.339808	+	0.940495i	$0.389638\pi$
$614$	−24.7036	−	8.02667i	−0.996954	−	0.323930i
$615$	34.5097	+	23.8728i	1.39157	+	0.962645i
$616$	−2.88872	+	1.62950i	−0.116390	+	0.0656545i
$617$	−12.7186	−	12.7186i	−0.512032	−	0.512032i	0.403117	−	0.915149i	$-0.367927\pi$
$617$	−12.7186	−	12.7186i	−0.512032	−	0.512032i	−0.915149	+	0.403117i	$0.867927\pi$
$618$	2.26709	−	1.15514i	0.0911955	−	0.0464664i
$619$	25.0454	+	34.4720i	1.00666	+	1.38555i	0.921149	+	0.389211i	$0.127252\pi$
$619$	25.0454	+	34.4720i	1.00666	+	1.38555i	0.0855112	+	0.996337i	$0.472748\pi$
$620$	−3.63627	+	7.56427i	−0.146036	+	0.303789i
$621$	7.92269	+	24.3835i	0.317927	+	0.978477i
$622$	−11.8340	−	6.02973i	−0.474501	−	0.241770i
$623$	1.28679	+	8.12445i	0.0515540	+	0.325499i
$624$	−3.97009	+	2.88444i	−0.158931	+	0.115470i
$625$	−9.88964	−	22.9607i	−0.395586	−	0.918429i
$626$			23.9262i			0.956284i
$627$	−16.1136	−	10.6949i	−0.643515	−	0.427114i
$628$	−11.2480	+	11.2480i	−0.448845	+	0.448845i
$629$	0.743012	−	2.28676i	0.0296258	−	0.0911789i
$630$	−0.883038	+	0.924874i	−0.0351811	+	0.0368479i
$631$	39.9134	+	28.9987i	1.58893	+	1.15442i	0.905454	+	0.424445i	$0.139531\pi$
$631$	39.9134	+	28.9987i	1.58893	+	1.15442i	0.683472	+	0.729977i	$0.260469\pi$
$632$	4.51515	−	8.86148i	0.179603	−	0.352491i
$633$	7.36471	−	14.4541i	0.292721	−	0.574498i
$634$	8.65791	+	6.29034i	0.343850	+	0.249821i
$635$	0.384707	+	16.6247i	0.0152666	+	0.659732i
$636$	5.23872	−	16.1231i	0.207729	−	0.639323i
$637$	−2.22685	+	2.22685i	−0.0882310	+	0.0882310i
$638$	−1.21165	−	3.25334i	−0.0479697	−	0.128801i
$639$		−	2.59160i		−	0.102522i
$640$	−1.77813	+	1.35583i	−0.0702866	+	0.0535938i
$641$	4.77240	−	3.46735i	0.188499	−	0.136952i	−0.489534	−	0.871984i	$-0.662833\pi$
$641$	4.77240	−	3.46735i	0.188499	−	0.136952i	0.678032	+	0.735032i	$0.262833\pi$
$642$	−1.92155	−	12.1322i	−0.0758376	−	0.478820i
$643$	−20.9760	−	10.6878i	−0.827213	−	0.421486i	−0.0114934	−	0.999934i	$-0.503659\pi$
$643$	−20.9760	−	10.6878i	−0.827213	−	0.421486i	−0.815719	+	0.578448i	$0.803659\pi$
$644$	1.42345	+	4.38092i	0.0560916	+	0.172632i
$645$	18.3640	+	8.82790i	0.723083	+	0.347598i
$646$	−13.7300	−	18.8977i	−0.540199	−	0.743520i
$647$	30.6689	−	15.6266i	1.20572	−	0.614344i	0.268565	−	0.963262i	$-0.413451\pi$
$647$	30.6689	−	15.6266i	1.20572	−	0.614344i	0.937154	+	0.348917i	$0.113451\pi$
$648$	−4.91961	−	4.91961i	−0.193260	−	0.193260i
$649$	−1.55266	+	13.4748i	−0.0609474	+	0.528932i
$650$	−14.7344	+	5.55335i	−0.577932	+	0.217820i
$651$	−5.56250	−	1.80736i	−0.218011	−	0.0708362i
$652$	−24.9218	−	3.94723i	−0.976014	−	0.154585i
$653$	−42.2928	+	6.69852i	−1.65504	+	0.262133i	−0.912923	−	0.408132i	$-0.866180\pi$
$653$	−42.2928	+	6.69852i	−1.65504	+	0.262133i	−0.742121	+	0.670265i	$0.766180\pi$
$654$	−14.3382	+	4.65877i	−0.560669	+	0.182172i
$655$	18.5339	−	9.99020i	0.724181	−	0.390349i
$656$	7.07874	−	9.74306i	0.276379	−	0.380402i
$657$	−1.18012	+	7.45101i	−0.0460410	+	0.290692i
$658$	−4.97738	−	9.76866i	−0.194039	−	0.380822i
$659$	8.64171			0.336633			0.168317	−	0.985733i	$-0.446167\pi$
$659$	8.64171			0.336633			0.168317	+	0.985733i	$0.446167\pi$
$660$	−2.55095	−	11.2712i	−0.0992955	−	0.438731i
$661$	11.9657			0.465414			0.232707	−	0.972547i	$-0.425242\pi$
$661$	11.9657			0.465414			0.232707	+	0.972547i	$0.425242\pi$
$662$	5.30422	+	10.4101i	0.206154	+	0.404601i
$663$	4.79188	−	30.2547i	0.186101	−	1.17500i
$664$	9.50668	−	13.0848i	0.368931	−	0.507789i
$665$	−8.01582	−	2.40096i	−0.310840	−	0.0931051i
$666$	−0.209499	+	0.0680704i	−0.00811793	+	0.00263768i
$667$	−4.76232	+	0.754277i	−0.184398	+	0.0292057i
$668$	−5.13386	−	0.813123i	−0.198635	−	0.0314607i
$669$	−4.74776	−	1.54264i	−0.183559	−	0.0596419i
$670$	−11.4908	+	2.09354i	−0.443927	+	0.0808804i
$671$	34.7009	−	37.7726i	1.33961	−	1.45820i
$672$	−1.10185	−	1.10185i	−0.0425047	−	0.0425047i
$673$	−14.1997	+	7.23511i	−0.547359	+	0.278893i	−0.705723	−	0.708488i	$-0.749378\pi$
$673$	−14.1997	+	7.23511i	−0.547359	+	0.278893i	0.158365	+	0.987381i	$0.449378\pi$
$674$	−0.350457	−	0.482363i	−0.0134991	−	0.0185799i
$675$	−13.7677	−	24.1851i	−0.529918	−	0.930884i
$676$	−0.952477	−	2.93142i	−0.0366337	−	0.112747i
$677$	10.0445	+	5.11793i	0.386042	+	0.196698i	0.636230	−	0.771499i	$-0.280493\pi$
$677$	10.0445	+	5.11793i	0.386042	+	0.196698i	−0.250189	+	0.968197i	$0.580493\pi$
$678$	−0.705630	−	4.45517i	−0.0270996	−	0.171100i
$679$	−9.65892	+	7.01762i	−0.370675	+	0.269311i
$680$	1.86396	−	13.8328i	0.0714797	−	0.530462i
$681$		−	9.16765i		−	0.351305i
$682$	−9.75231	+	7.73706i	−0.373435	+	0.296267i
$683$	−0.201084	+	0.201084i	−0.00769428	+	0.00769428i	−0.710943	−	0.703249i	$-0.751732\pi$
$683$	−0.201084	+	0.201084i	−0.00769428	+	0.00769428i	0.703249	+	0.710943i	$0.251732\pi$
$684$	−0.661296	+	2.03526i	−0.0252853	+	0.0778201i
$685$	−43.1056	+	0.997492i	−1.64698	+	0.0381122i
$686$	−0.809017	−	0.587785i	−0.0308884	−	0.0224417i
$687$	−14.7259	+	28.9012i	−0.561827	+	1.10265i
$688$	2.65484	−	5.21041i	0.101215	−	0.198645i
$689$	−27.7185	−	20.1387i	−1.05599	−	0.767222i
$690$	−16.0459	+	0.371312i	−0.610857	+	0.0141356i
$691$	5.50031	−	16.9282i	0.209242	−	0.643980i	−0.790271	−	0.612758i	$-0.790060\pi$
$691$	5.50031	−	16.9282i	0.209242	−	0.643980i	0.999512	−	0.0312220i	$-0.00993990\pi$
$692$	14.6434	−	14.6434i	0.556658	−	0.556658i
$693$	−1.77740	+	0.661960i	−0.0675177	+	0.0251458i
$694$		−	12.7173i		−	0.482741i
$695$	−4.77718	+	35.4522i	−0.181209	+	1.34478i
$696$	1.31957	−	0.958726i	0.0500183	−	0.0363404i
$697$	11.7598	+	74.2486i	0.445435	+	2.81237i
$698$	−5.53012	−	2.81774i	−0.209318	−	0.106653i
$699$	−1.71125	−	5.26670i	−0.0647256	−	0.199205i
$700$	−2.47360	−	4.34526i	−0.0934932	−	0.164236i
$701$	−6.13984	−	8.45076i	−0.231898	−	0.319181i	0.677171	−	0.735826i	$-0.263206\pi$
$701$	−6.13984	−	8.45076i	−0.231898	−	0.319181i	−0.909069	+	0.416645i	$0.863206\pi$
$702$	−15.6177	+	7.95764i	−0.589454	+	0.300342i
$703$	−1.01927	−	1.01927i	−0.0384423	−	0.0384423i
$704$	−3.25088	+	0.657085i	−0.122522	+	0.0247648i
$705$	37.5824	−	6.84724i	1.41544	−	0.257882i
$706$	6.42549	+	2.08777i	0.241826	+	0.0785742i
$707$	0.459434	+	0.0727672i	0.0172788	+	0.00273669i
$708$	−6.29429	+	0.996917i	−0.236554	+	0.0374665i
$709$	8.50739	−	2.76422i	0.319502	−	0.103812i	−0.144875	−	0.989450i	$-0.546278\pi$
$709$	8.50739	−	2.76422i	0.319502	−	0.103812i	0.464377	+	0.885637i	$0.346278\pi$
$710$	9.70738	+	2.90762i	0.364311	+	0.109121i
$711$	3.34301	−	4.60126i	0.125373	−	0.172561i
$712$	−1.28679	+	8.12445i	−0.0482243	+	0.304476i
$713$	7.84933	+	15.4052i	0.293960	+	0.576928i
$714$	9.72674			0.364014
$715$	−23.2575	−	2.13601i	−0.869782	−	0.0798821i
$716$	10.3154			0.385503
$717$	0.862082	+	1.69193i	0.0321951	+	0.0631863i
$718$	−1.69451	+	10.6987i	−0.0632386	+	0.399273i
$719$	11.6104	−	15.9803i	0.432995	−	0.595966i	−0.535643	−	0.844445i	$-0.679931\pi$
$719$	11.6104	−	15.9803i	0.432995	−	0.595966i	0.968637	+	0.248478i	$0.0799305\pi$
$720$	−1.12562	+	0.606734i	−0.0419494	+	0.0226116i
$721$	1.55295	−	0.504583i	0.0578348	−	0.0187917i
$722$	4.93488	−	0.781608i	0.183657	−	0.0290884i
$723$	−11.6586	−	1.84654i	−0.433589	−	0.0686737i
$724$	12.9194	+	4.19776i	0.480145	+	0.156009i
$725$	4.89741	−	1.84582i	0.181885	−	0.0685520i
$726$	3.89839	−	16.6915i	0.144683	−	0.619480i
$727$	16.4654	+	16.4654i	0.610669	+	0.610669i	0.943121	−	0.332451i	$-0.107876\pi$
$727$	16.4654	+	16.4654i	0.610669	+	0.610669i	−0.332451	+	0.943121i	$0.607876\pi$
$728$	−2.80599	+	1.42973i	−0.103997	+	0.0529892i
$729$	−17.6321	−	24.2686i	−0.653042	−	0.898836i
$730$	−26.5853	−	12.7800i	−0.983967	−	0.473009i
$731$	11.2799	+	34.7159i	0.417201	+	1.28401i
$732$	21.4721	+	10.9406i	0.793633	+	0.404376i
$733$	2.17926	+	13.7593i	0.0804928	+	0.508212i	0.994688	+	0.102937i	$0.0328241\pi$
$733$	2.17926	+	13.7593i	0.0804928	+	0.508212i	−0.914195	+	0.405275i	$0.867176\pi$
$734$	−20.5172	+	14.9066i	−0.757305	+	0.550214i
$735$	2.77076	−	2.11271i	0.102201	−	0.0779286i
$736$			4.60637i			0.169793i
$737$	−16.6882	−	4.65095i	−0.614716	−	0.171320i
$738$	4.86986	−	4.86986i	0.179262	−	0.179262i
$739$	−3.30315	+	10.1661i	−0.121508	+	0.373964i	−0.993249	−	0.116004i	$-0.962992\pi$
$739$	−3.30315	+	10.1661i	−0.121508	+	0.373964i	0.871740	+	0.489968i	$0.162992\pi$
$740$	−0.0199263	−	0.861095i	−0.000732505	−	0.0316545i
$741$	−14.8566	−	10.7940i	−0.545771	−	0.396526i
$742$	4.93916	−	9.69364i	0.181322	−	0.355865i
$743$	−3.98216	+	7.81543i	−0.146091	+	0.286720i	−0.952443	−	0.304715i	$-0.901439\pi$
$743$	−3.98216	+	7.81543i	−0.146091	+	0.286720i	0.806352	+	0.591436i	$0.201439\pi$
$744$	−4.73174	−	3.43781i	−0.173474	−	0.126036i
$745$	−14.8077	+	15.5092i	−0.542511	+	0.568214i
$746$	6.23656	−	19.1942i	0.228337	−	0.702748i
$747$	6.54016	−	6.54016i	0.239292	−	0.239292i
$748$	11.4486	−	17.2491i	0.418602	−	0.630690i
$749$		−	7.88285i		−	0.288033i
$750$	16.9768	−	3.91219i	0.619905	−	0.142853i
$751$	−1.81677	+	1.31996i	−0.0662948	+	0.0481660i	−0.620439	−	0.784255i	$-0.713046\pi$
$751$	−1.81677	+	1.31996i	−0.0662948	+	0.0481660i	0.554144	+	0.832421i	$0.313046\pi$
$752$	−1.71509	−	10.8286i	−0.0625428	−	0.394880i
$753$	−16.4446	−	8.37894i	−0.599275	−	0.305346i
$754$	−1.01866	−	3.13510i	−0.0370973	−	0.114174i
$755$	−20.6931	+	43.0463i	−0.753099	+	1.56662i
$756$	−3.27152	−	4.50287i	−0.118984	−	0.163768i
$757$	15.3998	−	7.84657i	0.559714	−	0.285189i	−0.151158	−	0.988510i	$-0.548300\pi$
$757$	15.3998	−	7.84657i	0.559714	−	0.285189i	0.710872	+	0.703321i	$0.248300\pi$
$758$	−15.5743	−	15.5743i	−0.565683	−	0.565683i
$759$	−21.6502	−	9.89991i	−0.785852	−	0.359344i
$760$	−6.88157	−	4.76047i	−0.249621	−	0.172680i
$761$	−10.1652	−	3.30286i	−0.368487	−	0.119729i	0.118920	−	0.992904i	$-0.462057\pi$
$761$	−10.1652	−	3.30286i	−0.368487	−	0.119729i	−0.487406	+	0.873175i	$0.662057\pi$
$762$	−11.4457	−	1.81282i	−0.414634	−	0.0656715i
$763$	−9.55593	+	1.51351i	−0.345948	+	0.0547927i
$764$	2.79338	−	0.907624i	0.101061	−	0.0328367i
$765$	2.29028	−	7.64633i	0.0828053	−	0.276454i
$766$	−2.24951	+	3.09618i	−0.0812781	+	0.111870i
$767$	−2.01478	+	12.7209i	−0.0727497	+	0.459323i
$768$	−0.707429	−	1.38841i	−0.0255272	−	0.0500999i
$769$	−38.4350			−1.38600			−0.693001	−	0.720937i	$-0.743712\pi$
$769$	−38.4350			−1.38600			−0.693001	+	0.720937i	$0.743712\pi$
$770$	−0.485377	−	7.40030i	−0.0174918	−	0.266688i
$771$	−24.4452			−0.880374
$772$	5.72246	+	11.2310i	0.205956	+	0.404211i
$773$	4.21735	−	26.6273i	0.151687	−	0.957716i	−0.787998	−	0.615677i	$-0.788882\pi$
$773$	4.21735	−	26.6273i	0.151687	−	0.957716i	0.939686	−	0.342039i	$-0.111118\pi$
$774$	1.96564	−	2.70547i	0.0706534	−	0.0972461i
$775$	−11.7215	−	14.6564i	−0.421049	−	0.526473i
$776$	−11.3547	+	3.68938i	−0.407612	+	0.132441i
$777$	0.592842	−	0.0938969i	0.0212681	−	0.00336853i
$778$	−22.6535	−	3.58796i	−0.812166	−	0.128634i
$779$	42.8611	+	13.9264i	1.53566	+	0.498966i
$780$	−1.96683	−	10.7953i	−0.0704239	−	0.386535i
$781$	11.0686	+	10.1685i	0.396066	+	0.363857i
$782$	−20.3318	−	20.3318i	−0.727062	−	0.727062i
$783$	5.19101	−	2.64495i	0.185512	−	0.0945229i
$784$	−0.587785	−	0.809017i	−0.0209923	−	0.0288935i
$785$	−11.7712	−	33.5652i	−0.420132	−	1.19799i
$786$	4.53407	+	13.9544i	0.161725	+	0.497738i
$787$	−7.46269	−	3.80243i	−0.266016	−	0.135542i	0.315896	−	0.948794i	$-0.397695\pi$
$787$	−7.46269	−	3.80243i	−0.266016	−	0.135542i	−0.581912	+	0.813252i	$0.697695\pi$
$788$	2.11542	+	13.3562i	0.0753585	+	0.475795i
$789$	13.9040	−	10.1019i	0.494997	−	0.359636i
$790$	13.4843	+	17.6843i	0.479751	+	0.629179i
$791$		−	2.89473i		−	0.102925i
$792$	−1.89496	+	0.0803157i	−0.0673345	+	0.00285389i
$793$	34.4389	−	34.4389i	1.22296	−	1.22296i
$794$	3.93026	−	12.0961i	0.139480	−	0.429275i
$795$	27.4177	+	26.1775i	0.972407	+	0.928420i
$796$	−10.6819	−	7.76084i	−0.378609	−	0.275076i
$797$	12.9567	−	25.4289i	0.458948	−	0.900736i	−0.539331	−	0.842094i	$-0.681323\pi$
$797$	12.9567	−	25.4289i	0.458948	−	0.900736i	0.998279	−	0.0586425i	$-0.0186772\pi$
$798$	2.64730	−	5.19562i	0.0937134	−	0.183923i
$799$	55.3660	+	40.2257i	1.95871	+	1.42308i
$800$	−1.00977	−	4.89698i	−0.0357008	−	0.173134i
$801$	−1.45362	+	4.47377i	−0.0513610	+	0.158073i
$802$	10.3036	−	10.3036i	0.363832	−	0.363832i
$803$	−27.1926	−	34.2754i	−0.959605	−	1.20955i
$804$		−	8.13939i		−	0.287054i
$805$	−10.2079	−	1.37551i	−0.359781	−	0.0484805i
$806$	−9.56292	+	6.94787i	−0.336839	+	0.244728i
$807$	−0.850989	−	5.37293i	−0.0299562	−	0.189136i
$808$	0.414462	+	0.211179i	0.0145807	+	0.00742924i
$809$	−3.43554	−	10.5735i	−0.120787	−	0.371745i	0.872323	−	0.488930i	$-0.162613\pi$
$809$	−3.43554	−	10.5735i	−0.120787	−	0.371745i	−0.993110	+	0.117185i	$0.962613\pi$
$810$	14.6806	−	5.14843i	0.515822	−	0.180897i
$811$	−7.93233	−	10.9179i	−0.278542	−	0.383380i	0.646708	−	0.762737i	$-0.276145\pi$
$811$	−7.93233	−	10.9179i	−0.278542	−	0.383380i	−0.925250	+	0.379357i	$0.876145\pi$
$812$	0.932654	−	0.475211i	0.0327297	−	0.0166766i
$813$	−15.0997	−	15.0997i	−0.529569	−	0.529569i
$814$	0.531274	−	1.16185i	0.0186211	−	0.0407227i
$815$	32.0989	−	46.4010i	1.12437	−	1.62536i
$816$	9.25068	+	3.00573i	0.323839	+	0.105222i
$817$	21.6138	+	3.42329i	0.756171	+	0.119766i
$818$	−36.5386	+	5.78714i	−1.27754	+	0.202343i
$819$	−1.71280	+	0.556521i	−0.0598500	+	0.0194464i
$820$	12.7774	+	23.7048i	0.446206	+	0.827807i
$821$	26.6504	−	36.6812i	0.930107	−	1.28018i	−0.0297111	−	0.999559i	$-0.509459\pi$
$821$	26.6504	−	36.6812i	0.930107	−	1.28018i	0.959818	−	0.280624i	$-0.0905413\pi$
$822$	4.70039	−	29.6771i	0.163945	−	1.03511i
$823$	−2.24841	−	4.41276i	−0.0783748	−	0.153819i	0.848494	−	0.529206i	$-0.177510\pi$
$823$	−2.24841	−	4.41276i	−0.0783748	−	0.153819i	−0.926868	+	0.375386i	$0.877510\pi$
$824$	1.63287			0.0568836
$825$	25.1862	+	5.77850i	0.876872	+	0.201181i
$826$	−4.08969			−0.142299
$827$	−13.4509	−	26.3988i	−0.467733	−	0.917977i	−0.997556	−	0.0698694i	$-0.977742\pi$
$827$	−13.4509	−	26.3988i	−0.467733	−	0.917977i	0.529823	−	0.848108i	$-0.322258\pi$
$828$	−0.412083	+	2.60179i	−0.0143209	+	0.0904185i
$829$	−22.8013	+	31.3833i	−0.791922	+	1.08999i	0.201944	+	0.979397i	$0.435274\pi$
$829$	−22.8013	+	31.3833i	−0.791922	+	1.08999i	−0.993866	+	0.110590i	$0.964726\pi$
$830$	17.1599	+	31.8353i	0.595629	+	1.10502i
$831$	17.1429	−	5.57006i	0.594680	−	0.193223i
$832$	−3.11047	+	0.492650i	−0.107836	+	0.0170796i
$833$	6.16525	+	0.976480i	0.213613	+	0.0338330i
$834$	−23.7087	−	7.70343i	−0.820966	−	0.266748i
$835$	6.61232	−	9.55853i	0.228829	−	0.330787i
$836$	−6.09783	−	10.8100i	−0.210898	−	0.373872i
$837$	−14.7721	−	14.7721i	−0.510600	−	0.510600i
$838$	3.59350	−	1.83098i	0.124135	−	0.0632501i
$839$	−6.33582	−	8.72050i	−0.218737	−	0.301065i	0.685521	−	0.728053i	$-0.259575\pi$
$839$	−6.33582	−	8.72050i	−0.218737	−	0.301065i	−0.904257	+	0.426988i	$0.859575\pi$
$840$	3.28801	−	1.15310i	0.113447	−	0.0397856i
$841$	−8.62291	−	26.5386i	−0.297342	−	0.915124i
$842$	−6.97674	−	3.55483i	−0.240434	−	0.122507i
$843$	1.76955	+	11.1725i	0.0609464	+	0.384801i
$844$	8.42229	−	6.11916i	0.289907	−	0.210630i
$845$	6.83046	+	0.920404i	0.234975	+	0.0316628i
$846$		−	6.26972i		−	0.215557i
$847$	4.14666	−	10.1885i	0.142481	−	0.350080i
$848$	7.69292	−	7.69292i	0.264176	−	0.264176i
$849$	−10.8473	+	33.3845i	−0.372278	+	1.14575i
$850$	26.0714	+	17.1575i	0.894241	+	0.588497i
$851$	−1.43549	−	1.04294i	−0.0492078	−	0.0357516i
$852$	−3.20595	+	6.29203i	−0.109834	+	0.215561i
$853$	−15.7954	+	31.0003i	−0.540826	+	1.06143i	0.445292	+	0.895385i	$0.353100\pi$
$853$	−15.7954	+	31.0003i	−0.540826	+	1.06143i	−0.986118	+	0.166045i	$0.946900\pi$
$854$	12.5117	+	9.09027i	0.428141	+	0.311063i
$855$	−3.46101	−	3.30445i	−0.118364	−	0.113010i
$856$	2.43593	−	7.49703i	0.0832585	−	0.256243i
$857$	13.0154	−	13.0154i	0.444596	−	0.444596i	−0.448957	−	0.893553i	$-0.648204\pi$
$857$	13.0154	−	13.0154i	0.444596	−	0.444596i	0.893553	+	0.448957i	$0.148204\pi$
$858$	4.36947	−	15.6782i	0.149171	−	0.535244i
$859$		−	24.3984i		−	0.832461i	−0.909259	−	0.416231i	$-0.863351\pi$
$859$		−	24.3984i		−	0.832461i	0.909259	−	0.416231i	$-0.136649\pi$
$860$	7.92858	+	10.3981i	0.270362	+	0.354572i
$861$	−15.1821	+	11.0304i	−0.517404	+	0.375916i
$862$	2.71118	+	17.1177i	0.0923433	+	0.583033i
$863$	14.3627	+	7.31818i	0.488914	+	0.249114i	0.681026	−	0.732259i	$-0.261534\pi$
$863$	14.3627	+	7.31818i	0.488914	+	0.249114i	−0.192113	+	0.981373i	$0.561534\pi$
$864$	−1.71994	−	5.29344i	−0.0585136	−	0.180086i
$865$	15.3245	+	43.6972i	0.521049	+	1.48575i
$866$	17.5563	+	24.1642i	0.596588	+	0.821133i
$867$	−30.4948	+	15.5379i	−1.03566	+	0.527694i
$868$	−2.65407	−	2.65407i	−0.0900849	−	0.0900849i
$869$	6.53502	+	32.3316i	0.221685	+	1.09677i
$870$	0.653734	+	3.58814i	0.0221637	+	0.121649i
$871$	−15.6447	−	5.08328i	−0.530101	−	0.172240i
$872$	−9.55593	−	1.51351i	−0.323605	−	0.0512539i
$873$	−6.74349	+	1.06806i	−0.228233	+	0.0361485i
$874$	−16.3940	+	5.32673i	−0.554535	+	0.180179i
$875$	11.1534	−	0.775399i	0.377054	−	0.0262133i
$876$	12.0825	−	16.6301i	0.408230	−	0.561880i
$877$	−1.08796	+	6.86911i	−0.0367378	+	0.231953i	−0.999224	−	0.0393756i	$-0.987463\pi$
$877$	−1.08796	+	6.86911i	−0.0367378	+	0.231953i	0.962487	+	0.271329i	$0.0874631\pi$
$878$	2.48029	+	4.86785i	0.0837058	+	0.164282i
$879$	−31.1420			−1.05039
$880$	1.82520	−	7.18809i	0.0615274	−	0.242311i
$881$	−0.595393			−0.0200593			−0.0100297	−	0.999950i	$-0.503193\pi$
$881$	−0.595393			−0.0200593			−0.0100297	+	0.999950i	$0.503193\pi$
$882$	−0.259621	−	0.509536i	−0.00874191	−	0.0171570i
$883$	0.313199	−	1.97746i	0.0105400	−	0.0665469i	−0.981858	−	0.189619i	$-0.939275\pi$
$883$	0.313199	−	1.97746i	0.0105400	−	0.0665469i	0.992398	+	0.123072i	$0.0392747\pi$
$884$	11.5546	−	15.9036i	0.388624	−	0.534895i
$885$	4.08875	−	13.6507i	0.137442	−	0.458863i
$886$	16.8340	−	5.46969i	0.565548	−	0.183758i
$887$	−38.2525	+	6.05861i	−1.28439	+	0.203428i	−0.761050	−	0.648693i	$-0.775316\pi$
$887$	−38.2525	+	6.05861i	−1.28439	+	0.203428i	−0.523344	+	0.852121i	$0.675316\pi$
$888$	0.592842	+	0.0938969i	0.0198945	+	0.00315097i
$889$	−7.07281	−	2.29809i	−0.237214	−	0.0770756i
$890$	−15.1266	−	10.4641i	−0.507045	−	0.350759i
$891$	22.9233	+	2.64139i	0.767960	+	0.0884898i
$892$	−2.26533	−	2.26533i	−0.0758488	−	0.0758488i
$893$	36.5557	−	18.6261i	1.22329	−	0.623297i
$894$	−8.78327	−	12.0891i	−0.293756	−	0.404321i
$895$	−9.99343	+	20.7886i	−0.334043	+	0.694886i
$896$	−0.309017	−	0.951057i	−0.0103235	−	0.0317726i
$897$	−20.1410	−	10.2624i	−0.672490	−	0.342651i
$898$	−5.16876	−	32.6343i	−0.172484	−	1.08902i
$899$	3.17851	−	2.30933i	0.106009	−	0.0770203i
$900$	−0.132262	−	2.85627i	−0.00440875	−	0.0952088i
$901$			67.9105i			2.26243i
$902$	1.69139	+	39.9065i	0.0563172	+	1.32874i
$903$	−6.44336	+	6.44336i	−0.214422	+	0.214422i
$904$	0.894521	−	2.75305i	0.0297513	−	0.0915652i
$905$	−20.9759	+	21.9697i	−0.697263	+	0.730298i
$906$	−26.9271	−	19.5637i	−0.894594	−	0.649960i
$907$	11.5378	−	22.6443i	0.383108	−	0.751892i	−0.616256	−	0.787546i	$-0.711351\pi$
$907$	11.5378	−	22.6443i	0.383108	−	0.751892i	0.999364	+	0.0356540i	$0.0113514\pi$
$908$	2.67097	−	5.24207i	0.0886391	−	0.173964i
$909$	0.215206	+	0.156356i	0.00713794	+	0.00518602i
$910$	−0.162911	−	7.04003i	−0.00540044	−	0.233375i
$911$	−2.62874	+	8.09044i	−0.0870942	+	0.268048i	−0.985113	−	0.171909i	$-0.945006\pi$
$911$	−2.62874	+	8.09044i	−0.0870942	+	0.268048i	0.898019	+	0.439957i	$0.145006\pi$
$912$	4.12327	−	4.12327i	0.136535	−	0.136535i
$913$	2.27152	+	53.5941i	0.0751763	+	1.77370i
$914$			30.3299i			1.00322i
$915$	−42.8506	+	32.6737i	−1.41660	+	1.08016i
$916$	−16.8405	+	12.2354i	−0.556427	+	0.404268i
$917$	1.47300	+	9.30014i	0.0486426	+	0.307118i
$918$	30.9559	+	15.7728i	1.02170	+	0.520581i
$919$	−18.1070	−	55.7277i	−0.597295	−	1.83829i	−0.542951	−	0.839764i	$-0.682693\pi$
$919$	−18.1070	−	55.7277i	−0.597295	−	1.83829i	−0.0543442	−	0.998522i	$-0.517307\pi$
$920$	−9.28323	−	4.46260i	−0.306059	−	0.147128i
$921$	23.7908	+	32.7452i	0.783932	+	1.07899i
$922$	−17.8820	+	9.11132i	−0.588911	+	0.300065i
$923$	10.0917	+	10.0917i	0.332172	+	0.332172i
$924$	5.13415	+	0.591593i	0.168901	+	0.0194620i
$925$	1.75467	+	0.794063i	0.0576933	+	0.0261086i
$926$	15.8470	+	5.14901i	0.520766	+	0.169207i
$927$	0.922283	+	0.146075i	0.0302917	+	0.00479774i
$928$	1.03385	−	0.163746i	0.0339379	−	0.00537524i
$929$	52.5531	−	17.0755i	1.72421	−	0.560230i	0.731619	−	0.681714i	$-0.238765\pi$
$929$	52.5531	−	17.0755i	1.72421	−	0.560230i	0.992593	+	0.121484i	$0.0387652\pi$
$930$	11.5123	−	6.20537i	0.377503	−	0.203482i
$931$	2.19957	−	3.02745i	0.0720881	−	0.0992208i
$932$	0.555940	−	3.51007i	0.0182104	−	0.114976i
$933$	9.39581	+	18.4403i	0.307605	+	0.603709i
$934$	−10.9689			−0.358912
$935$	23.6709	+	39.7832i	0.774122	+	1.30105i
$936$	−1.80094			−0.0588656
$937$	−10.7562	−	21.1103i	−0.351391	−	0.689644i	0.645882	−	0.763437i	$-0.276490\pi$
$937$	−10.7562	−	21.1103i	−0.351391	−	0.689644i	−0.997274	+	0.0737927i	$0.976490\pi$
$938$	0.817124	−	5.15912i	0.0266800	−	0.168451i
$939$	21.9144	−	30.1626i	0.715149	−	0.984318i
$940$	23.4846	+	7.03426i	0.765982	+	0.229432i
$941$	−14.8381	+	4.82118i	−0.483707	+	0.157166i	−0.540712	−	0.841208i	$-0.681845\pi$
$941$	−14.8381	+	4.82118i	−0.483707	+	0.157166i	0.0570045	+	0.998374i	$0.481845\pi$
$942$	24.4820	−	3.87757i	0.797668	−	0.126338i
$943$	54.7919	+	8.67818i	1.78427	+	0.282600i
$944$	−3.88953	−	1.26378i	−0.126593	−	0.0411327i
$945$	12.2441	−	2.23078i	0.398299	−	0.0725673i
$946$	3.84249	+	19.0105i	0.124930	+	0.618083i
$947$	11.8411	+	11.8411i	0.384785	+	0.384785i	0.872823	−	0.488037i	$-0.162287\pi$
$947$	11.8411	+	11.8411i	0.384785	+	0.384785i	−0.488037	+	0.872823i	$0.662287\pi$
$948$	−13.8084	+	7.03572i	−0.448475	+	0.228510i
$949$	−24.4189	−	33.6097i	−0.792671	−	1.09102i
$950$	16.2606	−	9.25654i	0.527563	−	0.300322i
$951$	−5.15317	−	15.8598i	−0.167103	−	0.514290i
$952$	5.56176	+	2.83386i	0.180258	+	0.0918458i
$953$	−7.02477	−	44.3526i	−0.227554	−	1.43672i	−0.791631	−	0.611000i	$-0.790768\pi$
$953$	−7.02477	−	44.3526i	−0.227554	−	1.43672i	0.564076	−	0.825723i	$-0.309232\pi$
$954$	5.03335	−	3.65694i	0.162961	−	0.118398i
$955$	−0.877061	+	6.50881i	−0.0283810	+	0.210620i
$956$			1.21861i			0.0394127i
$957$	−1.45232	+	5.21109i	−0.0469469	+	0.168451i
$958$	0.401034	−	0.401034i	0.0129568	−	0.0129568i
$959$	5.95865	−	18.3388i	0.192415	−	0.592192i
$960$	3.48341	−	0.0806084i	0.112427	−	0.00260163i
$961$	13.6820	+	9.94054i	0.441354	+	0.320663i
$962$	0.550725	−	1.08086i	0.0177561	−	0.0348483i
$963$	2.04656	−	4.01659i	0.0659493	−	0.129433i
$964$	−6.12842	−	4.45256i	−0.197383	−	0.143407i
$965$	−28.1777	+	0.652049i	−0.907071	+	0.0209902i
$966$	2.21808	−	6.82655i	0.0713656	−	0.219641i
$967$	31.9653	−	31.9653i	1.02793	−	1.02793i	0.0283362	−	0.999598i	$-0.490979\pi$
$967$	31.9653	−	31.9653i	1.02793	−	1.02793i	0.999598	−	0.0283362i	$-0.00902090\pi$
$968$	7.09212	−	8.40843i	0.227950	−	0.270257i
$969$			36.3988i			1.16930i
$970$	3.56514	−	26.4575i	0.114470	−	0.849499i
$971$	−31.9976	+	23.2476i	−1.02685	+	0.746053i	−0.967676	−	0.252195i	$-0.918848\pi$
$971$	−31.9976	+	23.2476i	−1.02685	+	0.746053i	−0.0591768	+	0.998248i	$0.518848\pi$
$972$	−0.916117	−	5.78414i	−0.0293845	−	0.185526i
$973$	−14.2543	−	7.26294i	−0.456972	−	0.232839i
$974$	6.79028	+	20.8983i	0.217575	+	0.669626i
$975$	23.6613	+	6.49465i	0.757769	+	0.207995i
$976$	9.09027	+	12.5117i	0.290972	+	0.400489i
$977$	−0.860352	+	0.438371i	−0.0275251	+	0.0140247i	−0.467699	−	0.883888i	$-0.654917\pi$
$977$	−0.860352	+	0.438371i	−0.0275251	+	0.0140247i	0.440174	+	0.897913i	$0.354917\pi$
$978$	27.8023	+	27.8023i	0.889020	+	0.889020i
$979$	−13.4038	−	23.7618i	−0.428388	−	0.759431i
$980$	2.19985	−	0.400798i	0.0702718	−	0.0128030i
$981$	−5.26203	−	1.70974i	−0.168004	−	0.0545877i
$982$	19.0585	+	3.01857i	0.608180	+	0.0963263i
$983$	26.8453	−	4.25187i	0.856231	−	0.135614i	0.287140	−	0.957889i	$-0.407295\pi$
$983$	26.8453	−	4.25187i	0.856231	−	0.135614i	0.569091	+	0.822275i	$0.307295\pi$
$984$	−17.8476	+	5.79904i	−0.568961	+	0.184867i
$985$	−28.9662	−	8.67616i	−0.922940	−	0.276445i
$986$	−3.84051	+	5.28601i	−0.122307	+	0.168341i
$987$	−2.67253	+	16.8737i	−0.0850676	+	0.537096i
$988$	−5.35023	−	10.5004i	−0.170214	−	0.334063i
$989$	26.9370			0.856548
$990$	1.67396	−	3.89673i	0.0532019	−	0.123846i
$991$	12.3183			0.391305			0.195652	−	0.980673i	$-0.437318\pi$
$991$	12.3183			0.391305			0.195652	+	0.980673i	$0.437318\pi$
$992$	−1.70402	−	3.34432i	−0.0541026	−	0.106182i
$993$	2.84802	−	17.9817i	0.0903793	−	0.570632i
$994$	−2.66374	+	3.66633i	−0.0844888	+	0.116289i
$995$	25.9889	−	14.0086i	0.823905	−	0.444102i
$996$	−23.9692	+	7.78805i	−0.759492	+	0.246774i
$997$	−18.8509	+	2.98570i	−0.597015	+	0.0945579i	−0.447627	−	0.894221i	$-0.647731\pi$
$997$	−18.8509	+	2.98570i	−0.597015	+	0.0945579i	−0.149389	+	0.988779i	$0.547731\pi$
$998$	−4.20826	−	0.666522i	−0.133210	−	0.0210984i
$999$	2.03901	+	0.662516i	0.0645115	+	0.0209611i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	770.2.bh.b.57.2	✓	144
5.3	odd	4	inner	770.2.bh.b.673.2	yes	144
11.6	odd	10	inner	770.2.bh.b.127.2	yes	144
55.28	even	20	inner	770.2.bh.b.743.2	yes	144

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
770.2.bh.b.57.2	✓	144	1.1	even	1	trivial
770.2.bh.b.127.2	yes	144	11.6	odd	10	inner
770.2.bh.b.673.2	yes	144	5.3	odd	4	inner
770.2.bh.b.743.2	yes	144	55.28	even	20	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	770.bh (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.453990 - 0.891007i) q^{2} +(-0.243764 + 1.53906i) q^{3} +(-0.587785 + 0.809017i) q^{4} +(-1.06097 - 1.96833i) q^{5} +(1.48198 - 0.481525i) q^{6} +(0.987688 - 0.156434i) q^{7} +(0.987688 + 0.156434i) q^{8} +(0.543876 + 0.176716i) q^{9} +O(q^{10})\)	\(q+(-0.453990 - 0.891007i) q^{2} +(-0.243764 + 1.53906i) q^{3} +(-0.587785 + 0.809017i) q^{4} +(-1.06097 - 1.96833i) q^{5} +(1.48198 - 0.481525i) q^{6} +(0.987688 - 0.156434i) q^{7} +(0.987688 + 0.156434i) q^{8} +(0.543876 + 0.176716i) q^{9} +(-1.27213 + 1.83894i) q^{10} +(-2.88872 + 1.62950i) q^{11} +(-1.10185 - 1.10185i) q^{12} +(-2.80599 + 1.42973i) q^{13} +(-0.587785 - 0.809017i) q^{14} +(3.28801 - 1.15310i) q^{15} +(-0.309017 - 0.951057i) q^{16} +(5.56176 + 2.83386i) q^{17} +(-0.0894594 - 0.564825i) q^{18} +(3.02745 - 2.19957i) q^{19} +(2.21604 + 0.298611i) q^{20} +1.55825i q^{21} +(2.76335 + 1.83409i) q^{22} +(3.25720 - 3.25720i) q^{23} +(-0.481525 + 1.48198i) q^{24} +(-2.74867 + 4.17670i) q^{25} +(2.54779 + 1.85108i) q^{26} +(-2.52684 + 4.95921i) q^{27} +(-0.453990 + 0.891007i) q^{28} +(-0.846832 - 0.615259i) q^{29} +(-2.52014 - 2.40615i) q^{30} +(-1.15987 + 3.56971i) q^{31} +(-0.707107 + 0.707107i) q^{32} +(-1.80374 - 4.84314i) q^{33} -6.24210i q^{34} +(-1.35583 - 1.77813i) q^{35} +(-0.462649 + 0.336134i) q^{36} +(-0.0602580 - 0.380454i) q^{37} +(-3.33427 - 1.69890i) q^{38} +(-1.51644 - 4.66712i) q^{39} +(-0.739996 - 2.11007i) q^{40} +(7.07874 + 9.74306i) q^{41} +(1.38841 - 0.707429i) q^{42} +(4.13501 + 4.13501i) q^{43} +(0.379653 - 3.29482i) q^{44} +(-0.229202 - 1.25802i) q^{45} +(-4.38092 - 1.42345i) q^{46} +(10.8286 + 1.71509i) q^{47} +(1.53906 - 0.243764i) q^{48} +(0.951057 - 0.309017i) q^{49} +(4.96934 + 0.552900i) q^{50} +(-5.71724 + 7.86910i) q^{51} +(0.492650 - 3.11047i) q^{52} +(4.93916 + 9.69364i) q^{53} +5.56585 q^{54} +(6.27226 + 3.95711i) q^{55} +1.00000 q^{56} +(2.64730 + 5.19562i) q^{57} +(-0.163746 + 1.03385i) q^{58} +(2.40386 - 3.30863i) q^{59} +(-0.999771 + 3.33783i) q^{60} +(-14.7084 + 4.77904i) q^{61} +(3.70721 - 0.587164i) q^{62} +(0.564825 + 0.0894594i) q^{63} +(0.951057 + 0.309017i) q^{64} +(5.79126 + 4.00623i) q^{65} +(-3.49639 + 3.80589i) q^{66} +(3.69352 + 3.69352i) q^{67} +(-5.56176 + 2.83386i) q^{68} +(4.21904 + 5.80701i) q^{69} +(-0.968790 + 2.01530i) q^{70} +(-1.40041 - 4.31003i) q^{71} +(0.509536 + 0.259621i) q^{72} +(2.06364 + 13.0293i) q^{73} +(-0.311631 + 0.226413i) q^{74} +(-5.75818 - 5.24850i) q^{75} +3.74214i q^{76} +(-2.59825 + 2.06134i) q^{77} +(-3.46998 + 3.46998i) q^{78} +(3.07332 - 9.45871i) q^{79} +(-1.54414 + 1.61729i) q^{80} +(-5.62863 - 4.08944i) q^{81} +(5.46744 - 10.7305i) q^{82} +(7.34272 - 14.4109i) q^{83} +(-1.26065 - 0.915915i) q^{84} +(-0.322905 - 13.9540i) q^{85} +(1.80706 - 5.56157i) q^{86} +(1.15335 - 1.15335i) q^{87} +(-3.10807 + 1.15755i) q^{88} +8.22572i q^{89} +(-1.01685 + 0.775350i) q^{90} +(-2.54779 + 1.85108i) q^{91} +(0.720595 + 4.54966i) q^{92} +(-5.21128 - 2.65528i) q^{93} +(-3.38795 - 10.4270i) q^{94} +(-7.54154 - 3.62535i) q^{95} +(-0.915915 - 1.26065i) q^{96} +(-10.6378 + 5.42023i) q^{97} +(-0.707107 - 0.707107i) q^{98} +(-1.85907 + 0.375764i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 144 q + 4 q^{3}+O(q^{10}) \) 144 * q + 4 * q^3	\( 144 q + 4 q^{3} + 4 q^{11} + 16 q^{12} + 4 q^{15} + 36 q^{16} + 16 q^{20} - 4 q^{22} + 16 q^{23} - 8 q^{25} - 36 q^{26} - 80 q^{27} - 24 q^{31} + 96 q^{33} + 44 q^{36} + 44 q^{37} + 28 q^{38} + 4 q^{42} - 80 q^{45} - 40 q^{46} - 12 q^{47} - 4 q^{48} + 20 q^{51} - 40 q^{52} - 112 q^{53} - 120 q^{55} + 144 q^{56} - 80 q^{57} + 56 q^{58} + 12 q^{60} - 40 q^{62} + 16 q^{66} - 48 q^{67} + 4 q^{70} + 144 q^{71} + 96 q^{75} + 4 q^{77} + 16 q^{78} - 16 q^{81} - 52 q^{82} - 80 q^{83} + 40 q^{85} + 24 q^{86} + 36 q^{88} + 36 q^{91} + 4 q^{92} - 152 q^{93} - 40 q^{95} + 20 q^{96} + 12 q^{97}+O(q^{100}) \) 144 * q + 4 * q^3 + 4 * q^11 + 16 * q^12 + 4 * q^15 + 36 * q^16 + 16 * q^20 - 4 * q^22 + 16 * q^23 - 8 * q^25 - 36 * q^26 - 80 * q^27 - 24 * q^31 + 96 * q^33 + 44 * q^36 + 44 * q^37 + 28 * q^38 + 4 * q^42 - 80 * q^45 - 40 * q^46 - 12 * q^47 - 4 * q^48 + 20 * q^51 - 40 * q^52 - 112 * q^53 - 120 * q^55 + 144 * q^56 - 80 * q^57 + 56 * q^58 + 12 * q^60 - 40 * q^62 + 16 * q^66 - 48 * q^67 + 4 * q^70 + 144 * q^71 + 96 * q^75 + 4 * q^77 + 16 * q^78 - 16 * q^81 - 52 * q^82 - 80 * q^83 + 40 * q^85 + 24 * q^86 + 36 * q^88 + 36 * q^91 + 4 * q^92 - 152 * q^93 - 40 * q^95 + 20 * q^96 + 12 * q^97

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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