LMFDB - Embedded newform 583.2.q.b.21.18

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [583,2,Mod(21,583)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(583, base_ring=CyclotomicField(52)) chi = DirichletCharacter(H, H._module([26, 31])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("583.21"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 583 = 11 \cdot 53 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	583.q (of order $52$, degree $24$, minimal)

Newform invariants

comment:select newform

sage:traces = [1200] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(1)] == traces)

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

Self dual:	no
Analytic conductor:	$4.65527843784$
Analytic rank:	$0$
Dimension:	$1200$
Relative dimension:	$50$ over $\Q(\zeta_{52})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{52}]$

Embedding invariants

Embedding label			21.18
Character	$\chi$	$=$	583.21
Dual form			583.2.q.b.472.18

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.960421 - 0.299279i) q^{2} +(0.838375 + 0.377322i) q^{3} +(-0.813127 - 0.561261i) q^{4} +(-1.67729 - 0.101457i) q^{5} +(-0.692268 - 0.613296i) q^{6} +(1.27366 - 0.668470i) q^{7} +(1.85377 + 2.36617i) q^{8} +(-1.42887 - 1.61286i) q^{9} +(1.58054 + 0.599420i) q^{10} +(2.43496 - 2.25188i) q^{11} +(-0.469929 - 0.777358i) q^{12} +(-3.91115 + 2.69967i) q^{13} +(-1.42331 + 0.260832i) q^{14} +(-1.36791 - 0.717937i) q^{15} +(-0.371543 - 0.979677i) q^{16} +(0.177030 + 1.45797i) q^{17} +(0.889620 + 1.97665i) q^{18} +(0.344895 - 1.88203i) q^{19} +(1.30690 + 1.02389i) q^{20} +(1.32004 - 0.0798475i) q^{21} +(-3.01253 + 1.43402i) q^{22} +(-3.90893 - 3.90893i) q^{23} +(0.661350 + 2.68320i) q^{24} +(-2.16054 - 0.262337i) q^{25} +(4.56431 - 1.42230i) q^{26} +(-1.40991 - 4.52455i) q^{27} +(-1.41084 - 0.171307i) q^{28} +(-9.50476 + 2.34271i) q^{29} +(1.09891 + 1.09891i) q^{30} +(-3.21864 + 5.32428i) q^{31} +(-0.299339 - 4.94866i) q^{32} +(2.89109 - 0.969158i) q^{33} +(0.266318 - 1.45325i) q^{34} +(-2.20412 + 0.991995i) q^{35} +(0.256616 + 2.11343i) q^{36} +(0.772412 - 0.292937i) q^{37} +(-0.894499 + 1.70432i) q^{38} +(-4.29765 + 0.787574i) q^{39} +(-2.86925 - 4.15682i) q^{40} +(-1.12196 - 1.85594i) q^{41} +(-1.29169 - 0.318372i) q^{42} +(2.63552 - 6.94930i) q^{43} +(-3.24382 + 0.464419i) q^{44} +(2.23299 + 2.85020i) q^{45} +(2.58436 + 4.92408i) q^{46} +(-7.87984 - 6.98093i) q^{47} +(0.0581617 - 0.961528i) q^{48} +(-2.80109 + 4.05807i) q^{49} +(1.99652 + 0.898560i) q^{50} +(-0.401708 + 1.28913i) q^{51} +4.69548 q^{52} +(-4.67126 + 5.58385i) q^{53} +4.76743i q^{54} +(-4.31260 + 3.53001i) q^{55} +(3.94279 + 1.77451i) q^{56} +(0.999284 - 1.44771i) q^{57} +(9.82970 + 0.594587i) q^{58} +(8.78438 - 9.91551i) q^{59} +(0.709338 + 1.35153i) q^{60} +(1.64476 + 2.09938i) q^{61} +(4.68469 - 4.15028i) q^{62} +(-2.89804 - 1.09908i) q^{63} +(-1.69503 + 6.87702i) q^{64} +(6.83403 - 4.13131i) q^{65} +(-3.06672 + 0.0655558i) q^{66} +(3.09383 - 0.566966i) q^{67} +(0.674356 - 1.28488i) q^{68} +(-1.80222 - 4.75207i) q^{69} +(2.41377 - 0.293085i) q^{70} +(1.79481 - 0.807780i) q^{71} +(1.16749 - 6.37081i) q^{72} +(-4.41355 + 5.63348i) q^{73} +(-0.829511 + 0.0501762i) q^{74} +(-1.71236 - 1.03516i) q^{75} +(-1.33676 + 1.33676i) q^{76} +(1.59600 - 4.49584i) q^{77} +(4.36326 + 0.529796i) q^{78} +(3.84369 + 12.3348i) q^{79} +(0.523789 + 1.68090i) q^{80} +(-0.254000 + 2.09188i) q^{81} +(0.522106 + 2.11827i) q^{82} +(-12.2309 - 12.2309i) q^{83} +(-1.11817 - 0.675959i) q^{84} +(-0.149009 - 2.46341i) q^{85} +(-4.61099 + 5.88550i) q^{86} +(-8.85250 - 1.62228i) q^{87} +(9.84219 + 1.58704i) q^{88} +(-0.544719 - 4.48616i) q^{89} +(-1.29160 - 3.40568i) q^{90} +(-3.17684 + 6.05296i) q^{91} +(0.984527 + 5.37239i) q^{92} +(-4.70739 + 3.24928i) q^{93} +(5.47872 + 9.06290i) q^{94} +(-0.769435 + 3.12172i) q^{95} +(1.61628 - 4.26178i) q^{96} +(5.91317 - 5.23861i) q^{97} +(3.90472 - 3.05915i) q^{98} +(-7.11120 - 0.709601i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1200 q - 48 q^{3} - 52 q^{4} - 44 q^{5} - 52 q^{9} - 26 q^{11} - 64 q^{12} - 28 q^{14} - 28 q^{15} + 72 q^{16} - 52 q^{20} - 12 q^{22} - 68 q^{23} - 52 q^{25} - 80 q^{26} - 72 q^{27} - 56 q^{31} - 28 q^{33}+ \cdots - 258 q^{99}+O(q^{100}) $ 1200 * q - 48 * q^3 - 52 * q^4 - 44 * q^5 - 52 * q^9 - 26 * q^11 - 64 * q^12 - 28 * q^14 - 28 * q^15 + 72 * q^16 - 52 * q^20 - 12 * q^22 - 68 * q^23 - 52 * q^25 - 80 * q^26 - 72 * q^27 - 56 * q^31 - 28 * q^33 - 40 * q^34 - 144 * q^36 - 52 * q^37 - 52 * q^38 + 164 * q^42 - 150 * q^44 + 224 * q^45 - 36 * q^47 - 128 * q^48 - 180 * q^49 + 56 * q^53 - 124 * q^55 + 220 * q^56 - 104 * q^59 - 520 * q^60 + 156 * q^64 - 70 * q^66 + 12 * q^67 - 36 * q^69 - 52 * q^70 - 68 * q^71 + 8 * q^75 - 38 * q^77 - 52 * q^78 - 80 * q^80 + 40 * q^81 - 52 * q^82 - 48 * q^86 - 138 * q^88 - 12 * q^89 - 52 * q^91 - 144 * q^92 + 156 * q^93 + 36 * q^97 - 258 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/583\mathbb{Z}\right)^\times$.

$n$	$266$	$320$
$\chi(n)$	$-1$	$e\left(\frac{31}{52}\right)$

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 $

$2$	−0.960421	−	0.299279i	−0.679120	−	0.211622i	−0.0615097	−	0.998106i	$-0.519592\pi$
$2$	−0.960421	−	0.299279i	−0.679120	−	0.211622i	−0.617611	+	0.786484i	$0.711899\pi$
$3$	0.838375	+	0.377322i	0.484036	+	0.217847i	0.637713	−	0.770274i	$-0.279881\pi$
$3$	0.838375	+	0.377322i	0.484036	+	0.217847i	−0.153677	+	0.988121i	$0.549111\pi$
$4$	−0.813127	−	0.561261i	−0.406563	−	0.280630i
$5$	−1.67729	−	0.101457i	−0.750106	−	0.0453731i	−0.319099	−	0.947721i	$-0.603380\pi$
$5$	−1.67729	−	0.101457i	−0.750106	−	0.0453731i	−0.431007	+	0.902348i	$0.641842\pi$
$6$	−0.692268	−	0.613296i	−0.282617	−	0.250377i
$7$	1.27366	−	0.668470i	0.481400	−	0.252658i	−0.206523	−	0.978442i	$-0.566215\pi$
$7$	1.27366	−	0.668470i	0.481400	−	0.252658i	0.687923	+	0.725784i	$0.258523\pi$
$8$	1.85377	+	2.36617i	0.655408	+	0.836566i
$9$	−1.42887	−	1.61286i	−0.476289	−	0.537619i
$10$	1.58054	+	0.599420i	0.499810	+	0.189553i
$11$	2.43496	−	2.25188i	0.734168	−	0.678968i
$11$	2.43496	−	2.25188i	0.734168	−	0.678968i
$12$	−0.469929	−	0.777358i	−0.135657	−	0.224404i
$13$	−3.91115	+	2.69967i	−1.08476	+	0.748754i	−0.969625	−	0.244596i	$-0.921345\pi$
$13$	−3.91115	+	2.69967i	−1.08476	+	0.748754i	−0.115132	+	0.993350i	$0.536729\pi$
$14$	−1.42331	+	0.260832i	−0.380396	+	0.0697102i
$15$	−1.36791	−	0.717937i	−0.353194	−	0.185371i
$16$	−0.371543	−	0.979677i	−0.0928856	−	0.244919i
$17$	0.177030	+	1.45797i	0.0429361	+	0.353611i	0.998305	+	0.0581959i	$0.0185348\pi$
$17$	0.177030	+	1.45797i	0.0429361	+	0.353611i	−0.955369	+	0.295415i	$0.904542\pi$
$18$	0.889620	+	1.97665i	0.209685	+	0.465902i
$19$	0.344895	−	1.88203i	0.0791244	−	0.431768i	−0.920074	−	0.391744i	$-0.871872\pi$
$19$	0.344895	−	1.88203i	0.0791244	−	0.431768i	0.999199	−	0.0400241i	$-0.0127435\pi$
$20$	1.30690	+	1.02389i	0.292233	+	0.228950i
$21$	1.32004	−	0.0798475i	0.288055	−	0.0174241i
$22$	−3.01253	+	1.43402i	−0.642273	+	0.305735i
$23$	−3.90893	−	3.90893i	−0.815069	−	0.815069i	0.170320	−	0.985389i	$-0.445520\pi$
$23$	−3.90893	−	3.90893i	−0.815069	−	0.815069i	−0.985389	+	0.170320i	$0.945520\pi$
$24$	0.661350	+	2.68320i	0.134998	+	0.547707i
$25$	−2.16054	−	0.262337i	−0.432108	−	0.0524674i
$26$	4.56431	−	1.42230i	0.895134	−	0.278935i
$27$	−1.40991	−	4.52455i	−0.271337	−	0.870750i
$28$	−1.41084	−	0.171307i	−0.266623	−	0.0323739i
$29$	−9.50476	+	2.34271i	−1.76499	+	0.435031i	−0.982290	−	0.187369i	$-0.940004\pi$
$29$	−9.50476	+	2.34271i	−1.76499	+	0.435031i	−0.782699	+	0.622400i	$0.786158\pi$
$30$	1.09891	+	1.09891i	0.200633	+	0.200633i
$31$	−3.21864	+	5.32428i	−0.578084	+	0.956268i	0.420711	+	0.907195i	$0.361781\pi$
$31$	−3.21864	+	5.32428i	−0.578084	+	0.956268i	−0.998795	+	0.0490736i	$0.984373\pi$
$32$	−0.299339	−	4.94866i	−0.0529161	−	0.874808i
$33$	2.89109	−	0.969158i	0.503275	−	0.168709i
$34$	0.266318	−	1.45325i	0.0456732	−	0.249231i
$35$	−2.20412	+	0.991995i	−0.372565	+	0.167678i
$36$	0.256616	+	2.11343i	0.0427694	+	0.352238i
$37$	0.772412	−	0.292937i	0.126984	−	0.0481586i	−0.290295	−	0.956937i	$-0.593753\pi$
$37$	0.772412	−	0.292937i	0.126984	−	0.0481586i	0.417278	+	0.908779i	$0.362984\pi$
$38$	−0.894499	+	1.70432i	−0.145107	+	0.276478i
$39$	−4.29765	+	0.787574i	−0.688175	+	0.126113i
$40$	−2.86925	−	4.15682i	−0.453668	−	0.657251i
$41$	−1.12196	−	1.85594i	−0.175220	−	0.289850i	0.755810	−	0.654790i	$-0.227243\pi$
$41$	−1.12196	−	1.85594i	−0.175220	−	0.289850i	−0.931031	+	0.364941i	$0.881089\pi$
$42$	−1.29169	−	0.318372i	−0.199312	−	0.0491259i
$43$	2.63552	−	6.94930i	0.401913	−	1.05976i	−0.569422	−	0.822045i	$-0.692833\pi$
$43$	2.63552	−	6.94930i	0.401913	−	1.05976i	0.971335	−	0.237713i	$-0.0763978\pi$
$44$	−3.24382	+	0.464419i	−0.489025	+	0.0700138i
$45$	2.23299	+	2.85020i	0.332874	+	0.424882i
$46$	2.58436	+	4.92408i	0.381043	+	0.726016i
$47$	−7.87984	−	6.98093i	−1.14939	−	1.01827i	−0.999563	−	0.0295611i	$-0.990589\pi$
$47$	−7.87984	−	6.98093i	−1.14939	−	1.01827i	−0.149830	−	0.988712i	$-0.547872\pi$
$48$	0.0581617	−	0.961528i	0.00839492	−	0.138785i
$49$	−2.80109	+	4.05807i	−0.400155	+	0.579725i
$50$	1.99652	+	0.898560i	0.282350	+	0.127076i
$51$	−0.401708	+	1.28913i	−0.0562504	+	0.180514i
$52$	4.69548			0.651146
$53$	−4.67126	+	5.58385i	−0.641647	+	0.767000i
$53$	−4.67126	+	5.58385i	−0.641647	+	0.767000i
$54$			4.76743i			0.648765i
$55$	−4.31260	+	3.53001i	−0.581511	+	0.475987i
$56$	3.94279	+	1.77451i	0.526878	+	0.237129i
$57$	0.999284	−	1.44771i	0.132358	−	0.191754i
$58$	9.82970	+	0.594587i	1.29070	+	0.0780731i
$59$	8.78438	−	9.91551i	1.14363	−	1.29089i	0.192777	−	0.981243i	$-0.438251\pi$
$59$	8.78438	−	9.91551i	1.14363	−	1.29089i	0.950851	−	0.309647i	$-0.100211\pi$
$60$	0.709338	+	1.35153i	0.0915751	+	0.174482i
$61$	1.64476	+	2.09938i	0.210590	+	0.268798i	0.880920	−	0.473265i	$-0.156925\pi$
$61$	1.64476	+	2.09938i	0.210590	+	0.268798i	−0.670331	+	0.742063i	$0.733848\pi$
$62$	4.68469	−	4.15028i	0.594957	−	0.527086i
$63$	−2.89804	−	1.09908i	−0.365119	−	0.138471i
$64$	−1.69503	+	6.87702i	−0.211879	+	0.859628i
$65$	6.83403	−	4.13131i	0.847657	−	0.512426i
$66$	−3.06672	+	0.0655558i	−0.377487	+	0.00806936i
$67$	3.09383	−	0.566966i	0.377972	−	0.0692659i	0.0120892	−	0.999927i	$-0.496152\pi$
$67$	3.09383	−	0.566966i	0.377972	−	0.0692659i	0.365883	+	0.930661i	$0.380767\pi$
$68$	0.674356	−	1.28488i	0.0817777	−	0.155814i
$69$	−1.80222	−	4.75207i	−0.216962	−	0.572083i
$70$	2.41377	−	0.293085i	0.288501	−	0.0350303i
$71$	1.79481	−	0.807780i	0.213005	−	0.0958658i	−0.301102	−	0.953592i	$-0.597354\pi$
$71$	1.79481	−	0.807780i	0.213005	−	0.0958658i	0.514107	+	0.857726i	$0.328124\pi$
$72$	1.16749	−	6.37081i	0.137591	−	0.750807i
$73$	−4.41355	+	5.63348i	−0.516566	+	0.659348i	−0.973107	−	0.230354i	$-0.926011\pi$
$73$	−4.41355	+	5.63348i	−0.516566	+	0.659348i	0.456540	+	0.889703i	$0.349088\pi$
$74$	−0.829511	+	0.0501762i	−0.0964287	+	0.00583286i
$75$	−1.71236	−	1.03516i	−0.197726	−	0.119530i
$76$	−1.33676	+	1.33676i	−0.153336	+	0.153336i
$77$	1.59600	−	4.49584i	0.181881	−	0.512348i
$78$	4.36326	+	0.529796i	0.494042	+	0.0599876i
$79$	3.84369	+	12.3348i	0.432449	+	1.38778i	0.871977	+	0.489547i	$0.162838\pi$
$79$	3.84369	+	12.3348i	0.432449	+	1.38778i	−0.439528	+	0.898229i	$0.644854\pi$
$80$	0.523789	+	1.68090i	0.0585614	+	0.187930i
$81$	−0.254000	+	2.09188i	−0.0282222	+	0.232431i
$82$	0.522106	+	2.11827i	0.0576569	+	0.233923i
$83$	−12.2309	−	12.2309i	−1.34251	−	1.34251i	−0.893551	−	0.448963i	$-0.851794\pi$
$83$	−12.2309	−	12.2309i	−1.34251	−	1.34251i	−0.448963	−	0.893551i	$-0.648206\pi$
$84$	−1.11817	−	0.675959i	−0.122003	−	0.0737531i
$85$	−0.149009	−	2.46341i	−0.0161622	−	0.267194i
$86$	−4.61099	+	5.88550i	−0.497216	+	0.634650i
$87$	−8.85250	−	1.62228i	−0.949088	−	0.173927i
$88$	9.84219	+	1.58704i	1.04918	+	0.169179i
$89$	−0.544719	−	4.48616i	−0.0577401	−	0.475532i	−0.992684	−	0.120738i	$-0.961474\pi$
$89$	−0.544719	−	4.48616i	−0.0577401	−	0.475532i	0.934944	−	0.354794i	$-0.115449\pi$
$90$	−1.29160	−	3.40568i	−0.136147	−	0.358990i
$91$	−3.17684	+	6.05296i	−0.333023	+	0.634523i
$92$	0.984527	+	5.37239i	0.102644	+	0.560110i
$93$	−4.70739	+	3.24928i	−0.488134	+	0.336934i
$94$	5.47872	+	9.06290i	0.565086	+	0.934767i
$95$	−0.769435	+	3.12172i	−0.0789424	+	0.320282i
$96$	1.61628	−	4.26178i	0.164961	−	0.434966i
$97$	5.91317	−	5.23861i	0.600391	−	0.531900i	−0.307260	−	0.951626i	$-0.599412\pi$
$97$	5.91317	−	5.23861i	0.600391	−	0.531900i	0.907651	+	0.419725i	$0.137874\pi$
$98$	3.90472	−	3.05915i	0.394436	−	0.309021i
$99$	−7.11120	−	0.709601i	−0.714703	−	0.0713176i
$100$	1.60955	+	1.42594i	0.160955	+	0.142594i
$101$	−8.10428	−	0.490218i	−0.806406	−	0.0487785i	−0.347969	−	0.937506i	$-0.613129\pi$
$101$	−8.10428	−	0.490218i	−0.806406	−	0.0487785i	−0.458436	+	0.888727i	$0.651590\pi$
$102$	0.771618	−	1.11788i	0.0764016	−	0.110687i
$103$	7.15420	−	15.8960i	0.704925	−	1.56628i	−0.114715	−	0.993398i	$-0.536596\pi$
$103$	7.15420	−	15.8960i	0.704925	−	1.56628i	0.819640	−	0.572880i	$-0.194174\pi$
$104$	−13.6383	−	4.24985i	−1.33734	−	0.416732i
$105$	−2.22218			−0.216863
$106$	6.15751	−	3.96483i	0.598070	−	0.385099i
$107$			8.22213i			0.794863i	0.917632	+	0.397432i	$0.130098\pi$
$107$			8.22213i			0.794863i	−0.917632	+	0.397432i	$0.869902\pi$
$108$	−1.39302	+	4.47036i	−0.134043	+	0.430161i
$109$	−4.55632	+	10.1237i	−0.436416	+	0.969677i	0.554122	+	0.832436i	$0.313054\pi$
$109$	−4.55632	+	10.1237i	−0.436416	+	0.969677i	−0.990538	+	0.137241i	$0.956176\pi$
$110$	5.19837	−	2.09963i	0.495645	−	0.200192i
$111$	0.758102	+	0.0458568i	0.0719559	+	0.00435253i
$112$	−1.12811	−	0.999414i	−0.106596	−	0.0944358i
$113$	5.54436	+	10.5639i	0.521570	+	0.993768i	0.993682	+	0.112230i	$0.0357993\pi$
$113$	5.54436	+	10.5639i	0.521570	+	0.993768i	−0.472113	+	0.881538i	$0.656508\pi$
$114$	−1.39300	+	1.09135i	−0.130467	+	0.102214i
$115$	6.15982	+	6.95300i	0.574406	+	0.648370i
$116$	9.04345	+	3.42973i	0.839663	+	0.318442i
$117$	9.94270	+	2.45066i	0.919203	+	0.226563i
$118$	−11.4042	+	6.89409i	−1.04984	+	0.634652i
$119$	1.20009	+	1.73863i	0.110012	+	0.159380i
$120$	−0.837045	−	4.56760i	−0.0764114	−	0.416963i
$121$	0.858051	−	10.9665i	0.0780046	−	0.996953i
$122$	−0.951359	−	2.50853i	−0.0861320	−	0.227111i
$123$	−0.240332	−	1.97932i	−0.0216700	−	0.178469i
$124$	5.60547	−	2.52282i	0.503386	−	0.226556i
$125$	11.8614	+	2.17368i	1.06091	+	0.194420i
$126$	2.45441	+	1.92291i	0.218656	+	0.171306i
$127$	8.95635	−	0.541760i	0.794748	−	0.0480734i	0.341986	−	0.939705i	$-0.388900\pi$
$127$	8.95635	−	0.541760i	0.794748	−	0.0480734i	0.452762	+	0.891632i	$0.350439\pi$
$128$	−1.44352	+	2.38787i	−0.127590	+	0.211060i
$129$	4.83168	−	4.83168i	0.425405	−	0.425405i
$130$	−7.79996	+	1.92252i	−0.684102	+	0.168616i
$131$	−0.0947451	+	0.780296i	−0.00827792	+	0.0681748i	−0.996262	−	0.0863782i	$-0.972471\pi$
$131$	−0.0947451	+	0.780296i	−0.00827792	+	0.0681748i	0.987985	+	0.154553i	$0.0493937\pi$
$132$	−2.89478	−	0.834609i	−0.251958	−	0.0726434i
$133$	−0.818802	−	2.62763i	−0.0709992	−	0.227844i
$134$	−3.14106	−	0.381394i	−0.271346	−	0.0329474i
$135$	1.90577	+	7.73202i	0.164023	+	0.665467i
$136$	−3.12164	+	3.12164i	−0.267678	+	0.267678i
$137$	6.90392	−	11.4205i	0.589842	−	0.975717i	−0.408184	−	0.912900i	$-0.633838\pi$
$137$	6.90392	−	11.4205i	0.589842	−	0.975717i	0.998025	−	0.0628172i	$-0.0200085\pi$
$138$	0.308697	+	5.10336i	0.0262780	+	0.434427i
$139$	6.90390	+	5.40886i	0.585582	+	0.458774i	0.865262	−	0.501319i	$-0.167152\pi$
$139$	6.90390	+	5.40886i	0.585582	+	0.458774i	−0.279681	+	0.960093i	$0.590229\pi$
$140$	2.34900	+	0.430470i	0.198527	+	0.0363814i
$141$	−3.97220	−	8.82587i	−0.334520	−	0.743272i
$142$	−1.96553	+	0.238658i	−0.164943	+	0.0200278i
$143$	−3.44414	+	15.3810i	−0.288014	+	1.28623i
$144$	−1.04920	+	1.99907i	−0.0874329	+	0.166590i
$145$	16.1799	−	2.96508i	1.34367	−	0.246236i
$146$	5.92485	−	4.08963i	0.490344	−	0.338460i
$147$	−3.87956	+	2.34528i	−0.319981	+	0.193435i
$148$	−0.792483	−	0.195330i	−0.0651417	−	0.0160560i
$149$	0.685872	−	1.80850i	0.0561888	−	0.148158i	−0.903983	−	0.427569i	$-0.859370\pi$
$149$	0.685872	−	1.80850i	0.0561888	−	0.148158i	0.960171	+	0.279411i	$0.0901393\pi$
$150$	1.33478	+	1.50666i	0.108985	+	0.123018i
$151$	16.3068	−	12.7756i	1.32703	−	1.03966i	0.331675	−	0.943394i	$-0.392386\pi$
$151$	16.3068	−	12.7756i	1.32703	−	1.03966i	0.995355	−	0.0962687i	$-0.0306908\pi$
$152$	5.09256	−	2.67278i	0.413061	−	0.216791i
$153$	2.09855	−	2.36878i	0.169658	−	0.191504i
$154$	−2.87835	+	3.84025i	−0.231944	+	0.309456i
$155$	5.93877	−	8.60379i	0.477014	−	0.691073i
$156$	3.93657	+	1.77171i	0.315178	+	0.141850i
$157$	8.34665	+	2.60092i	0.666135	+	0.207576i	0.611879	−	0.790951i	$-0.290414\pi$
$157$	8.34665	+	2.60092i	0.666135	+	0.207576i	0.0542554	+	0.998527i	$0.482721\pi$
$158$		−	12.9970i		−	1.03398i
$159$	−6.02317	+	2.91879i	−0.477669	+	0.231475i
$160$			8.33070i			0.658600i
$161$	−7.59167	−	2.36566i	−0.598307	−	0.186440i
$162$	0.870002	−	1.93307i	0.0683538	−	0.151876i
$163$	1.24532	+	0.859583i	0.0975410	+	0.0673277i	0.615837	−	0.787874i	$-0.288818\pi$
$163$	1.24532	+	0.859583i	0.0975410	+	0.0673277i	−0.518296	+	0.855201i	$0.673433\pi$
$164$	−0.129375	+	2.13883i	−0.0101025	+	0.167014i
$165$	−4.94752	+	1.33224i	−0.385164	+	0.103714i
$166$	8.08634	+	15.4072i	0.627622	+	1.19583i
$167$	−6.18374	−	7.89296i	−0.478512	−	0.610775i	0.486276	−	0.873805i	$-0.338355\pi$
$167$	−6.18374	−	7.89296i	−0.478512	−	0.610775i	−0.964788	+	0.263030i	$0.915278\pi$
$168$	2.63598	+	2.97541i	0.203370	+	0.229557i
$169$	3.39900	−	8.96242i	0.261461	−	0.689417i
$170$	−0.594135	+	2.41050i	−0.0455681	+	0.184877i
$171$	−3.52826	+	2.13291i	−0.269813	+	0.163108i
$172$	−6.04338	+	4.17145i	−0.460804	+	0.318070i
$173$	−3.94607	−	21.5330i	−0.300014	−	1.63712i	−0.695410	−	0.718613i	$-0.744777\pi$
$173$	−3.94607	−	21.5330i	−0.300014	−	1.63712i	0.395396	−	0.918511i	$-0.370607\pi$
$174$	8.01662	+	4.20745i	0.607738	+	0.318966i
$175$	−2.92717	+	1.11013i	−0.221273	+	0.0839178i
$176$	−3.11081	−	1.54880i	−0.234486	−	0.116745i
$177$	11.1059	−	4.99838i	0.834774	−	0.375701i
$178$	−0.819456	+	4.47163i	−0.0614208	+	0.335163i
$179$	−6.74134	−	5.28150i	−0.503871	−	0.394758i	0.332345	−	0.943158i	$-0.392160\pi$
$179$	−6.74134	−	5.28150i	−0.503871	−	0.394758i	−0.836216	+	0.548400i	$0.815237\pi$
$180$	−0.215997	−	3.57086i	−0.0160995	−	0.266156i
$181$	4.21984	+	2.55099i	0.313659	+	0.189613i	0.665406	−	0.746482i	$-0.268259\pi$
$181$	4.21984	+	2.55099i	0.313659	+	0.189613i	−0.351747	+	0.936095i	$0.614412\pi$
$182$	4.86263	−	4.86263i	0.360442	−	0.360442i
$183$	0.586782	+	2.38067i	0.0433762	+	0.175984i
$184$	2.00291	−	16.4955i	0.147657	−	1.21606i
$185$	−1.32528	+	0.412974i	−0.0974364	+	0.0303624i
$186$	5.49352	−	1.71185i	0.402804	−	0.125519i
$187$	3.71425	+	3.15146i	0.271613	+	0.230457i
$188$	2.48919	+	10.0990i	0.181543	+	0.736547i
$189$	−4.82028	−	4.82028i	−0.350623	−	0.350623i
$190$	1.67325	−	2.76789i	0.121390	−	0.200804i
$191$	27.3669	−	1.65539i	1.98020	−	0.119780i	0.982437	−	0.186595i	$-0.0597453\pi$
$191$	27.3669	−	1.65539i	1.98020	−	0.119780i	0.997765	+	0.0668150i	$0.0212837\pi$
$192$	−4.01592	+	5.12595i	−0.289824	+	0.369934i
$193$	6.37542	+	1.16834i	0.458913	+	0.0840989i	0.404738	−	0.914433i	$-0.367363\pi$
$193$	6.37542	+	1.16834i	0.458913	+	0.0840989i	0.0541745	+	0.998531i	$0.482747\pi$
$194$	−7.24694	+	3.26158i	−0.520300	+	0.234168i
$195$	7.28831	−	0.884961i	0.521927	−	0.0633734i
$196$	4.55528	−	1.72759i	0.325377	−	0.123399i
$197$	17.7490	+	9.31538i	1.26456	+	0.663694i	0.957620	−	0.288034i	$-0.0930017\pi$
$197$	17.7490	+	9.31538i	1.26456	+	0.663694i	0.306943	+	0.951728i	$0.400694\pi$
$198$	6.61738	+	2.80975i	0.470277	+	0.199680i
$199$	−16.2232	+	11.1981i	−1.15003	+	0.793809i	−0.981420	−	0.191873i	$-0.938544\pi$
$199$	−16.2232	+	11.1981i	−1.15003	+	0.793809i	−0.168611	+	0.985683i	$0.553928\pi$
$200$	−3.38442	−	5.59851i	−0.239315	−	0.395875i
$201$	2.80772	+	0.692041i	0.198041	+	0.0488128i
$202$	7.63681	+	2.89626i	0.537324	+	0.203780i
$203$	−10.5398	+	9.33747i	−0.739751	+	0.655362i
$204$	1.05018	−	0.822760i	0.0735270	−	0.0576047i
$205$	1.69355	+	3.22678i	0.118282	+	0.225368i
$206$	−11.6284	+	13.1257i	−0.810188	+	0.914513i
$207$	−0.719206	+	11.8899i	−0.0499883	+	0.826405i
$208$	4.09796	+	2.82862i	0.284143	+	0.196130i
$209$	−3.39831	−	5.35934i	−0.235066	−	0.370713i
$210$	2.13423	+	0.665053i	0.147276	+	0.0458930i
$211$	−3.85029			−0.265065			−0.132532	−	0.991179i	$-0.542311\pi$
$211$	−3.85029			−0.265065			−0.132532	+	0.991179i	$0.542311\pi$
$212$	6.93232	−	1.91858i	0.476114	−	0.131769i
$213$	1.80952			0.123986
$214$	2.46071	−	7.89671i	0.168211	−	0.539808i
$215$	−5.12559	+	11.3886i	−0.349562	+	0.776695i
$216$	8.09219	−	11.7236i	0.550604	−	0.797688i
$217$	−0.540341	+	8.93290i	−0.0366807	+	0.606405i
$218$	7.40581	−	8.35943i	0.501585	−	0.566172i
$219$	−5.82584	+	3.05764i	−0.393674	+	0.206616i
$220$	5.48795	−	0.449855i	0.369997	−	0.0303292i
$221$	−4.62844	−	5.22443i	−0.311343	−	0.351433i
$222$	−0.714374	−	0.270926i	−0.0479456	−	0.0181834i
$223$	4.22149	−	17.1273i	0.282692	−	1.14693i	−0.642151	−	0.766578i	$-0.721958\pi$
$223$	4.22149	−	17.1273i	0.282692	−	1.14693i	0.924843	−	0.380348i	$-0.124196\pi$
$224$	−3.68929	−	6.10283i	−0.246501	−	0.407763i
$225$	2.66401	+	3.85949i	0.177601	+	0.257299i
$226$	−2.16337	−	11.8051i	−0.143905	−	0.785264i
$227$	−13.6304	+	25.9706i	−0.904682	+	1.72373i	−0.249307	+	0.968425i	$0.580203\pi$
$227$	−13.6304	+	25.9706i	−0.904682	+	1.72373i	−0.655375	+	0.755303i	$0.727490\pi$
$228$	−1.62509	+	0.616315i	−0.107624	+	0.0408165i
$229$	−27.3162	+	3.31679i	−1.80511	+	0.219180i	−0.952745	−	0.303772i	$-0.901754\pi$
$229$	−27.3162	+	3.31679i	−1.80511	+	0.219180i	−0.852362	+	0.522952i	$0.824831\pi$
$230$	−3.83513	−	8.52131i	−0.252881	−	0.561879i
$231$	3.03443	−	3.16699i	0.199651	−	0.208373i
$232$	−23.1629	−	18.1470i	−1.52072	−	1.19141i
$233$	−22.5976	+	1.36690i	−1.48042	+	0.0895489i	−0.780717	−	0.624885i	$-0.785146\pi$
$233$	−22.5976	+	1.36690i	−1.48042	+	0.0895489i	−0.699703	+	0.714434i	$0.746684\pi$
$234$	−8.81575	−	5.32931i	−0.576304	−	0.348388i
$235$	12.5085	+	12.5085i	0.815964	+	0.815964i
$236$	−12.7080	+	3.13224i	−0.827221	+	0.203892i
$237$	−1.43175	+	11.7915i	−0.0930021	+	0.765941i
$238$	−0.632255	−	2.02898i	−0.0409830	−	0.131519i
$239$	15.5405	−	4.84262i	1.00523	−	0.313243i	0.249678	−	0.968329i	$-0.419675\pi$
$239$	15.5405	−	4.84262i	1.00523	−	0.313243i	0.755555	+	0.655086i	$0.227367\pi$
$240$	−0.195108	+	1.60686i	−0.0125942	+	0.103722i
$241$	−12.0850	+	2.97869i	−0.778464	+	0.191874i	−0.608476	−	0.793572i	$-0.708219\pi$
$241$	−12.0850	+	2.97869i	−0.778464	+	0.191874i	−0.169988	+	0.985446i	$0.554373\pi$
$242$	−4.10613	+	10.2756i	−0.263952	+	0.660544i
$243$	−8.35746	+	13.8249i	−0.536131	+	0.886870i
$244$	−0.159098	−	2.63020i	−0.0101852	−	0.168381i
$245$	5.10995	−	6.52237i	0.326463	−	0.416699i
$246$	−0.361548	+	1.97290i	−0.0230515	+	0.125788i
$247$	3.73193	+	8.29202i	0.237457	+	0.527608i
$248$	−18.5647	+	2.25417i	−1.17886	+	0.143140i
$249$	−5.63908	−	14.8690i	−0.357362	−	0.942287i
$250$	−10.7414	−	5.63752i	−0.679345	−	0.356548i
$251$	−2.23044	−	12.1711i	−0.140784	−	0.768235i	−0.975910	−	0.218175i	$-0.929990\pi$
$251$	−2.23044	−	12.1711i	−0.140784	−	0.768235i	0.835125	−	0.550060i	$-0.185395\pi$
$252$	1.73961	+	2.52025i	0.109585	+	0.158761i
$253$	−18.3205	−	0.715633i	−1.15180	−	0.0449915i
$254$	−8.76401	−	2.16013i	−0.549903	−	0.135539i
$255$	0.804572	−	2.12148i	0.0503842	−	0.132852i
$256$	12.7042	−	11.2549i	0.794012	−	0.703433i
$257$	−10.2054	−	13.0263i	−0.636598	−	0.812557i	0.355938	−	0.934510i	$-0.384161\pi$
$257$	−10.2054	−	13.0263i	−0.636598	−	0.812557i	−0.992536	+	0.121952i	$0.961084\pi$
$258$	−6.08647	+	3.19442i	−0.378927	+	0.198876i
$259$	0.787973	−	0.889438i	0.0489623	−	0.0552670i
$260$	−7.87568	−	0.476391i	−0.488429	−	0.0295445i
$261$	17.3595	+	11.9824i	1.07453	+	0.741692i
$262$	0.324522	−	0.721058i	0.0200490	−	0.0445471i
$263$	1.48846	−	4.77663i	0.0917823	−	0.294540i	−0.897403	−	0.441212i	$-0.854549\pi$
$263$	1.48846	−	4.77663i	0.0917823	−	0.294540i	0.989185	+	0.146672i	$0.0468563\pi$
$264$	7.65262	+	5.04421i	0.470986	+	0.310449i
$265$	8.40157	−	8.89179i	0.516104	−	0.546218i
$266$			2.76868i			0.169759i
$267$	1.23605	−	3.96662i	0.0756449	−	0.242753i
$268$	−2.83389	−	1.27543i	−0.173108	−	0.0779094i
$269$	−17.4350	−	12.0345i	−1.06303	−	0.733758i	−0.0978137	−	0.995205i	$-0.531185\pi$
$269$	−17.4350	−	12.0345i	−1.06303	−	0.733758i	−0.965218	+	0.261447i	$0.915800\pi$
$270$	0.483691	−	7.99636i	0.0294365	−	0.486643i
$271$	2.18148	+	1.93263i	0.132516	+	0.117399i	0.726777	−	0.686873i	$-0.241017\pi$
$271$	2.18148	+	1.93263i	0.132516	+	0.117399i	−0.594262	+	0.804272i	$0.702556\pi$
$272$	1.36257	−	0.715132i	0.0826180	−	0.0433613i
$273$	−4.94729	+	3.87596i	−0.299424	+	0.234584i
$274$	−10.0486	+	8.90227i	−0.607057	+	0.537806i
$275$	−5.85158	+	4.22650i	−0.352864	+	0.254868i
$276$	−1.20172	+	4.87556i	−0.0723349	+	0.293474i
$277$	−20.7907	+	12.5684i	−1.24919	+	0.755162i	−0.978249	−	0.207434i	$-0.933489\pi$
$277$	−20.7907	+	12.5684i	−1.24919	+	0.755162i	−0.270941	+	0.962596i	$0.587335\pi$
$278$	−5.01189	−	7.26098i	−0.300593	−	0.435485i
$279$	13.1863	−	2.41648i	0.789444	−	0.144671i
$280$	−6.43317	−	3.37639i	−0.384455	−	0.201778i
$281$	−11.7647	+	4.46178i	−0.701826	+	0.266167i	−0.679597	−	0.733586i	$-0.737845\pi$
$281$	−11.7647	+	4.46178i	−0.701826	+	0.266167i	−0.0222285	+	0.999753i	$0.507076\pi$
$282$	1.17359	+	9.66535i	0.0698860	+	0.575563i
$283$	−2.92400	−	6.49687i	−0.173814	−	0.386199i	0.804313	−	0.594205i	$-0.202533\pi$
$283$	−2.92400	−	6.49687i	−0.173814	−	0.386199i	−0.978127	+	0.208006i	$0.933303\pi$
$284$	−1.91279	−	0.350531i	−0.113503	−	0.0208002i
$285$	−1.82297	+	2.32685i	−0.107983	+	0.137831i
$286$	7.91106	−	13.7415i	0.467791	−	0.812553i
$287$	−2.66964	−	1.61385i	−0.157584	−	0.0952627i
$288$	−7.55377	+	7.55377i	−0.445110	+	0.445110i
$289$	14.4117	−	3.55216i	0.847745	−	0.208950i
$290$	−16.4269	−	1.99459i	−0.964621	−	0.117126i
$291$	6.93410	−	2.16075i	0.406484	−	0.126665i
$292$	6.75062	−	2.10358i	0.395050	−	0.123103i
$293$	0.660725	+	0.0802265i	0.0385999	+	0.00468688i	0.139814	−	0.990178i	$-0.455350\pi$
$293$	0.660725	+	0.0802265i	0.0385999	+	0.00468688i	−0.101214	+	0.994865i	$0.532273\pi$
$294$	4.42791	−	1.09138i	0.258241	−	0.0636506i
$295$	−15.7399	+	15.7399i	−0.916415	+	0.916415i
$296$	2.12501	+	1.28462i	0.123514	+	0.0746668i
$297$	−13.6218	−	7.84215i	−0.790419	−	0.455048i
$298$	−1.19997	+	1.53165i	−0.0695125	+	0.0887261i
$299$	25.8412	+	4.73558i	1.49444	+	0.273866i
$300$	0.811371	+	1.80279i	0.0468445	+	0.104084i
$301$	−1.28863	−	10.6128i	−0.0742755	−	0.611714i
$302$	−19.4849	+	7.38965i	−1.12123	+	0.425226i
$303$	−6.60945	−	3.46891i	−0.379703	−	0.199284i
$304$	−1.97193	+	0.361369i	−0.113098	+	0.0207260i
$305$	−2.54573	−	3.68813i	−0.145768	−	0.211182i
$306$	−2.72442	+	1.64697i	−0.155745	+	0.0941510i
$307$	1.53641	−	6.23347i	0.0876877	−	0.355763i	−0.910665	−	0.413147i	$-0.864430\pi$
$307$	1.53641	−	6.23347i	0.0876877	−	0.355763i	0.998352	+	0.0573837i	$0.0182759\pi$
$308$	−3.82109	+	2.75991i	−0.217727	+	0.157261i
$309$	11.9958	−	10.6274i	0.682418	−	0.604569i
$310$	−8.27866	+	6.48592i	−0.470196	+	0.368375i
$311$	−6.45417	+	3.38741i	−0.365982	+	0.192082i	−0.637682	−	0.770300i	$-0.720107\pi$
$311$	−6.45417	+	3.38741i	−0.365982	+	0.192082i	0.271700	+	0.962382i	$0.412414\pi$
$312$	−9.83040	−	8.70898i	−0.556537	−	0.493049i
$313$	0.119075	−	1.96855i	0.00673054	−	0.111269i	−0.993259	−	0.115919i	$-0.963019\pi$
$313$	0.119075	−	1.96855i	0.00673054	−	0.111269i	0.999989	+	0.00465007i	$0.00148017\pi$
$314$	−7.23789	−	4.99596i	−0.408458	−	0.281938i
$315$	4.74935	+	2.13751i	0.267595	+	0.120435i
$316$	3.79765	−	12.1871i	0.213635	−	0.685577i
$317$		−	13.3348i		−	0.748957i	−0.927236	−	0.374479i	$-0.877822\pi$
$317$		−	13.3348i		−	0.748957i	0.927236	−	0.374479i	$-0.122178\pi$
$318$	6.65832	−	1.00066i	0.373380	−	0.0561140i
$319$	−17.8682	+	27.1080i	−1.00043	+	1.51776i
$320$	3.54078	−	11.3628i	0.197936	−	0.635199i
$321$	−3.10239	+	6.89323i	−0.173158	+	0.384742i
$322$	6.58321	+	4.54406i	0.366868	+	0.253231i
$323$	2.80501	+	0.169672i	0.156075	+	0.00944081i
$324$	1.38062	−	1.55840i	0.0767013	−	0.0865778i
$325$	9.15842	−	4.80671i	0.508018	−	0.266628i
$326$	−0.938777	−	1.19826i	−0.0519940	−	0.0663655i
$327$	−7.63981	+	6.76828i	−0.422482	+	0.374287i
$328$	2.31162	−	6.09524i	0.127638	−	0.336553i
$329$	−14.7028	−	3.62392i	−0.810592	−	0.199793i
$330$	5.15042	+	0.201185i	0.283521	+	0.0110749i
$331$	3.83636	+	5.55793i	0.210866	+	0.305492i	0.914118	−	0.405449i	$-0.132885\pi$
$331$	3.83636	+	5.55793i	0.210866	+	0.305492i	−0.703252	+	0.710941i	$0.748269\pi$
$332$	3.08054	+	16.8100i	0.169067	+	0.922567i
$333$	−1.57614	−	0.827222i	−0.0863720	−	0.0453315i
$334$	3.57679	+	9.43123i	0.195713	+	0.516054i
$335$	−5.24677	+	0.637073i	−0.286662	+	0.0348070i
$336$	−0.568674	−	1.26354i	−0.0310237	−	0.0689319i
$337$	2.40121	−	13.1030i	0.130802	−	0.713765i	−0.851192	−	0.524854i	$-0.824120\pi$
$337$	2.40121	−	13.1030i	0.130802	−	0.713765i	0.981994	−	0.188911i	$-0.0604957\pi$
$338$	−5.94674	+	7.59045i	−0.323460	+	0.412866i
$339$	0.662263	+	10.9485i	0.0359692	+	0.594642i
$340$	−1.26145	+	2.08669i	−0.0684117	+	0.113167i
$341$	4.15240	+	20.2124i	0.224865	+	1.09456i
$342$	4.02695	−	0.992555i	0.217753	−	0.0536712i
$343$	−2.06862	+	17.0366i	−0.111695	+	0.919892i
$344$	21.3289	−	6.64634i	1.14997	−	0.358347i
$345$	2.54072	+	8.15345i	0.136788	+	0.438967i
$346$	−2.65450	+	21.8617i	−0.142707	+	1.17529i
$347$	14.4626	−	3.56470i	0.776391	−	0.191363i	0.168840	−	0.985644i	$-0.445998\pi$
$347$	14.4626	−	3.56470i	0.776391	−	0.191363i	0.607551	+	0.794280i	$0.292152\pi$
$348$	6.28769	+	6.28769i	0.337055	+	0.337055i
$349$	7.01228	+	4.23907i	0.375359	+	0.226912i	0.692423	−	0.721492i	$-0.256543\pi$
$349$	7.01228	+	4.23907i	0.375359	+	0.226912i	−0.317064	+	0.948404i	$0.602697\pi$
$350$	3.14355	−	0.190150i	0.168030	−	0.0101639i
$351$	17.7292	+	13.8899i	0.946313	+	0.741389i
$352$	−11.8727	−	11.3757i	−0.632816	−	0.606327i
$353$	−5.98827	−	13.3054i	−0.318723	−	0.708174i	0.680986	−	0.732297i	$-0.261552\pi$
$353$	−5.98827	−	13.3054i	−0.318723	−	0.708174i	−0.999709	+	0.0241225i	$0.992321\pi$
$354$	−12.1623	+	1.47677i	−0.646419	+	0.0784894i
$355$	−3.09237	+	1.17278i	−0.164126	+	0.0622449i
$356$	−2.07498	+	3.95355i	−0.109974	+	0.209538i
$357$	0.350102	+	1.91044i	0.0185293	+	0.101111i
$358$	4.89388	+	7.09001i	0.258650	+	0.374719i
$359$	−4.25524	−	7.03903i	−0.224583	−	0.371506i	0.723087	−	0.690757i	$-0.242723\pi$
$359$	−4.25524	−	7.03903i	−0.224583	−	0.371506i	−0.947670	+	0.319251i	$0.896569\pi$
$360$	−2.60459	+	10.5672i	−0.137274	+	0.556942i
$361$	14.3422	+	5.43928i	0.754853	+	0.286278i
$362$	−3.28937	−	3.71293i	−0.172886	−	0.195147i
$363$	4.85726	−	8.87026i	0.254940	−	0.465568i
$364$	5.98046	−	3.13879i	0.313461	−	0.164517i
$365$	7.97435	−	9.00118i	0.417396	−	0.471143i
$366$	0.148927	−	2.46206i	0.00778453	−	0.128694i
$367$	−11.8189	+	17.1226i	−0.616940	+	0.893792i	−0.999546	−	0.0301193i	$-0.990411\pi$
$367$	−11.8189	+	17.1226i	−0.616940	+	0.893792i	0.382606	+	0.923912i	$0.375027\pi$
$368$	−2.37716	+	5.28183i	−0.123918	+	0.275334i
$369$	−1.39025	+	4.46146i	−0.0723733	+	0.232254i
$370$	1.39642			0.0725964
$371$	−2.21698	+	10.2345i	−0.115100	+	0.531351i
$372$	5.65140			0.293011
$373$	−27.0471	−	8.42820i	−1.40044	−	0.436396i	−0.497990	−	0.867183i	$-0.665928\pi$
$373$	−27.0471	−	8.42820i	−1.40044	−	0.436396i	−0.902454	+	0.430787i	$0.858236\pi$
$374$	−2.62408	−	4.13832i	−0.135688	−	0.213988i
$375$	9.12411	+	6.29792i	0.471167	+	0.325223i
$376$	1.91060	−	31.5861i	0.0985319	−	1.62893i
$377$	30.8500	−	34.8224i	1.58885	−	1.79345i
$378$	3.18689	+	6.07210i	0.163916	+	0.312315i
$379$	−1.12375	+	0.880403i	−0.0577232	+	0.0452233i	−0.645166	−	0.764043i	$-0.723212\pi$
$379$	−1.12375	+	0.880403i	−0.0577232	+	0.0452233i	0.587443	+	0.809266i	$0.300135\pi$
$380$	2.37775	−	2.10650i	0.121976	−	0.108061i
$381$	7.71320	+	2.92523i	0.395159	+	0.149864i
$382$	−26.7792	−	6.60048i	−1.37014	−	0.337710i
$383$	−17.4745	−	28.9063i	−0.892905	−	1.47704i	−0.878825	−	0.477144i	$-0.841672\pi$
$383$	−17.4745	−	28.9063i	−0.892905	−	1.47704i	−0.0140795	−	0.999901i	$-0.504482\pi$
$384$	−2.11121	+	1.45726i	−0.107737	+	0.0743656i
$385$	−3.13309	+	7.37889i	−0.159677	+	0.376063i
$386$	−5.77343	−	3.03013i	−0.293860	−	0.154229i
$387$	−14.9740	+	5.67891i	−0.761173	+	0.288675i
$388$	−7.74839	+	0.940824i	−0.393365	+	0.0477631i
$389$	9.29992	−	4.18556i	0.471525	−	0.212216i	−0.160697	−	0.987004i	$-0.551374\pi$
$389$	9.29992	−	4.18556i	0.471525	−	0.212216i	0.632221	+	0.774788i	$0.282143\pi$
$390$	−7.26470	−	1.33131i	−0.367862	−	0.0674133i
$391$	5.00712	−	6.39112i	0.253221	−	0.323213i
$392$	−14.7947	+	0.894912i	−0.747243	+	0.0451999i
$393$	−0.373855	+	0.618431i	−0.0188585	+	0.0311957i
$394$	−14.2586	−	14.2586i	−0.718338	−	0.718338i
$395$	−5.19551	−	21.0790i	−0.261415	−	1.06060i
$396$	5.38404	+	4.56824i	0.270558	+	0.229562i
$397$	−17.3757	+	5.41449i	−0.872062	+	0.271745i	−0.700694	−	0.713462i	$-0.747126\pi$
$397$	−17.3757	+	5.41449i	−0.872062	+	0.271745i	−0.171368	+	0.985207i	$0.554819\pi$
$398$	18.9324	−	5.89959i	0.948997	−	0.295720i
$399$	0.304999	−	2.51189i	0.0152690	−	0.125752i
$400$	0.545727	+	2.21410i	0.0272864	+	0.110705i
$401$	−1.30354	+	1.30354i	−0.0650957	+	0.0650957i	−0.738905	−	0.673809i	$-0.764657\pi$
$401$	−1.30354	+	1.30354i	−0.0650957	+	0.0650957i	0.673809	+	0.738905i	$0.264657\pi$
$402$	−2.48948	−	1.50494i	−0.124164	−	0.0750597i
$403$	−1.78523	−	29.5133i	−0.0889284	−	1.47016i
$404$	6.31466	+	4.94722i	0.314166	+	0.246134i
$405$	0.638267	−	3.48291i	0.0317157	−	0.173067i
$406$	12.9172	−	5.81355i	0.641069	−	0.288522i
$407$	1.22113	−	2.45267i	0.0605292	−	0.121574i
$408$	−3.79496	+	1.43924i	−0.187879	+	0.0712530i
$409$	13.1481	+	6.90064i	0.650131	+	0.341215i	0.757339	−	0.653022i	$-0.226499\pi$
$409$	13.1481	+	6.90064i	0.650131	+	0.341215i	−0.107209	+	0.994237i	$0.534191\pi$
$410$	−0.660809	−	3.60592i	−0.0326350	−	0.178083i
$411$	10.0973	−	6.96964i	0.498061	−	0.343787i
$412$	−14.7391	+	8.91008i	−0.726142	+	0.438968i
$413$	4.56012	−	18.5011i	0.224389	−	0.910381i
$414$	4.24914	−	11.2041i	0.208834	−	0.550650i
$415$	19.2738	+	21.7556i	0.946114	+	1.06794i
$416$	14.5305	+	18.5468i	0.712417	+	0.909333i
$417$	3.74718	+	7.13965i	0.183500	+	0.349630i
$418$	1.65987	+	6.16427i	0.0811870	+	0.301504i
$419$	−0.919654	+	15.2037i	−0.0449280	+	0.742749i	0.904054	+	0.427418i	$0.140577\pi$
$419$	−0.919654	+	15.2037i	−0.0449280	+	0.742749i	−0.948982	+	0.315330i	$0.897885\pi$
$420$	1.80692	+	1.24722i	0.0881685	+	0.0608583i
$421$	−4.41650	+	9.81306i	−0.215247	+	0.478259i	−0.987611	−	0.156921i	$-0.949843\pi$
$421$	−4.41650	+	9.81306i	−0.215247	+	0.478259i	0.772364	+	0.635180i	$0.219074\pi$
$422$	3.69790	+	1.15231i	0.180011	+	0.0560937i
$423$			22.6839i			1.10293i
$424$	−21.8718	−	0.701788i	−1.06219	−	0.0340819i
$425$		−	3.19646i		−	0.155051i
$426$	−1.73790	−	0.541552i	−0.0842016	−	0.0262383i
$427$	3.49824	+	1.57443i	0.169292	+	0.0761920i
$428$	4.61476	−	6.68563i	0.223063	−	0.323162i
$429$	−8.69109	+	11.5955i	−0.419610	+	0.559837i
$430$	8.33109	−	9.40386i	0.401761	−	0.453494i
$431$	24.3917	−	12.8018i	1.17491	−	0.616639i	0.239737	−	0.970838i	$-0.422939\pi$
$431$	24.3917	−	12.8018i	1.17491	−	0.616639i	0.935170	+	0.354199i	$0.115246\pi$
$432$	−3.90876	+	3.06232i	−0.188060	+	0.147336i
$433$	5.84117	+	6.59332i	0.280709	+	0.316855i	0.871907	−	0.489672i	$-0.162883\pi$
$433$	5.84117	+	6.59332i	0.280709	+	0.316855i	−0.591198	+	0.806526i	$0.701345\pi$
$434$	3.19239	−	8.41764i	0.153240	−	0.404059i
$435$	14.6836	+	3.61919i	0.704025	+	0.173527i
$436$	9.38692	−	5.67459i	0.449552	−	0.271764i
$437$	−8.70491	+	6.00857i	−0.416412	+	0.287429i
$438$	6.51035	−	1.19307i	0.311076	−	0.0570069i
$439$	4.32907	−	8.24835i	0.206615	−	0.393672i	−0.759993	−	0.649931i	$-0.774798\pi$
$439$	4.32907	−	8.24835i	0.206615	−	0.393672i	0.966608	+	0.256259i	$0.0824900\pi$
$440$	−16.3472	−	3.66048i	−0.779321	−	0.174507i
$441$	10.5475	−	1.28070i	0.502261	−	0.0609855i
$442$	2.88169	+	6.40285i	0.137068	+	0.304553i
$443$	−30.8162	−	5.64728i	−1.46412	−	0.268310i	−0.611668	−	0.791114i	$-0.709501\pi$
$443$	−30.8162	−	5.64728i	−1.46412	−	0.268310i	−0.852453	+	0.522804i	$0.824886\pi$
$444$	−0.590696	−	0.462781i	−0.0280332	−	0.0219626i
$445$	0.458497	+	7.57985i	0.0217348	+	0.359319i
$446$	−9.18025	+	15.1860i	−0.434697	+	0.719077i
$447$	1.25740	−	1.25740i	0.0594731	−	0.0594731i
$448$	2.43818	+	9.89209i	0.115193	+	0.467357i
$449$	23.1456	+	2.81039i	1.09231	+	0.132630i	0.646810	−	0.762652i	$-0.276103\pi$
$449$	23.1456	+	2.81039i	1.09231	+	0.132630i	0.445500	+	0.895282i	$0.353026\pi$
$450$	−1.40351	−	4.50402i	−0.0661621	−	0.212322i
$451$	−6.91129	−	1.99263i	−0.325440	−	0.0938294i
$452$	1.42083	−	11.7016i	0.0668304	−	0.550398i
$453$	18.4917	−	4.55780i	0.868818	−	0.214144i
$454$	20.8634	−	20.8634i	0.979168	−	0.979168i
$455$	5.94259	−	9.83025i	0.278593	−	0.460849i
$456$	5.27797	−	0.319259i	0.247164	−	0.0149507i
$457$	−2.28203	−	1.78785i	−0.106749	−	0.0836322i	0.561925	−	0.827188i	$-0.310061\pi$
$457$	−2.28203	−	1.78785i	−0.106749	−	0.0836322i	−0.668674	+	0.743556i	$0.733138\pi$
$458$	27.2277	+	4.98967i	1.27227	+	0.233152i
$459$	6.34709	−	2.85659i	0.296257	−	0.133334i
$460$	−1.10627	−	9.11093i	−0.0515800	−	0.424799i
$461$	8.88681	+	23.4326i	0.413900	+	1.09137i	0.966217	+	0.257731i	$0.0829747\pi$
$461$	8.88681	+	23.4326i	0.413900	+	1.09137i	−0.552317	+	0.833634i	$0.686256\pi$
$462$	−3.86214	+	2.13350i	−0.179683	+	0.0992596i
$463$	2.30969	+	12.6036i	0.107340	+	0.585738i	0.992678	+	0.120789i	$0.0385425\pi$
$463$	2.30969	+	12.6036i	0.107340	+	0.585738i	−0.885338	+	0.464948i	$0.846073\pi$
$464$	5.82652	+	8.44118i	0.270490	+	0.391872i
$465$	8.22532	−	4.97238i	0.381440	−	0.230588i
$466$	22.1123	+	5.45020i	1.02433	+	0.252476i
$467$	24.9254	+	9.45296i	1.15341	+	0.437431i	0.855826	−	0.517264i	$-0.173050\pi$
$467$	24.9254	+	9.45296i	1.15341	+	0.437431i	0.297585	+	0.954695i	$0.403819\pi$
$468$	−6.70922	−	7.57314i	−0.310134	−	0.350069i
$469$	3.56150	−	2.79026i	0.164455	−	0.128842i
$470$	−8.26989	−	15.7570i	−0.381462	−	0.726814i
$471$	6.01623	+	5.32992i	0.277213	+	0.245590i
$472$	39.7460	+	2.40419i	1.82946	+	0.110662i
$473$	−9.23162	−	22.8561i	−0.424470	−	1.05093i
$474$	4.90404	−	10.8963i	0.225250	−	0.500485i
$475$	−1.23889	+	3.97573i	−0.0568441	+	0.182419i
$476$		−	2.08729i		−	0.0956708i
$477$	15.6806	−	0.444502i	0.717964	−	0.0203523i
$478$	−16.3747			−0.748963
$479$	23.1247	+	7.20595i	1.05659	+	0.329248i	0.776102	−	0.630608i	$-0.217194\pi$
$479$	23.1247	+	7.20595i	1.05659	+	0.329248i	0.280493	+	0.959856i	$0.409502\pi$
$480$	−3.14336	+	6.98425i	−0.143474	+	0.318786i
$481$	−2.23018	+	3.23098i	−0.101688	+	0.147320i
$482$	12.4982	+	0.756000i	0.569276	+	0.0344348i
$483$	−5.47205	−	4.84781i	−0.248987	−	0.220583i
$484$	−6.85276	+	8.43555i	−0.311489	+	0.383434i
$485$	−10.4496	+	8.18673i	−0.474491	+	0.371740i
$486$	12.1642	−	10.7765i	0.551779	−	0.488834i
$487$	−2.25511	+	5.94623i	−0.102189	+	0.269449i	−0.976354	−	0.216180i	$-0.930640\pi$
$487$	−2.25511	+	5.94623i	−0.102189	+	0.269449i	0.874165	+	0.485629i	$0.161409\pi$
$488$	−1.91847	+	7.78354i	−0.0868450	+	0.352344i
$489$	0.719706	+	1.19054i	0.0325462	+	0.0538380i
$490$	−6.85972	+	4.73492i	−0.309890	+	0.213902i
$491$	3.88209	+	21.1839i	0.175196	+	0.956015i	0.947259	+	0.320469i	$0.103840\pi$
$491$	3.88209	+	21.1839i	0.175196	+	0.956015i	−0.772063	+	0.635546i	$0.780775\pi$
$492$	−0.915492	+	1.74432i	−0.0412736	+	0.0786402i
$493$	−5.09824	−	13.4430i	−0.229613	−	0.605441i
$494$	−1.10260	−	9.08072i	−0.0496083	−	0.408561i
$495$	11.8555	+	1.91169i	0.532867	+	0.0859240i
$496$	6.41193	+	1.17503i	0.287904	+	0.0527604i
$497$	1.74601	−	2.22862i	0.0783193	−	0.0999672i
$498$	0.965898	+	15.9682i	0.0432829	+	0.715552i
$499$	−16.2162	−	9.80301i	−0.725935	−	0.438843i	0.105533	−	0.994416i	$-0.466345\pi$
$499$	−16.2162	−	9.80301i	−0.725935	−	0.438843i	−0.831468	+	0.555573i	$0.812499\pi$
$500$	−8.42481	−	8.42481i	−0.376769	−	0.376769i
$501$	−2.20610	−	8.95051i	−0.0985614	−	0.399879i
$502$	−1.50040	+	12.3569i	−0.0669663	+	0.551517i
$503$	−9.70784	−	31.1535i	−0.432851	−	1.38907i	−0.871494	−	0.490406i	$-0.836848\pi$
$503$	−9.70784	−	31.1535i	−0.432851	−	1.38907i	0.438643	−	0.898661i	$-0.355459\pi$
$504$	−2.77170	−	8.89470i	−0.123461	−	0.396202i
$505$	13.5435	+	1.64448i	0.602677	+	0.0731782i
$506$	17.3813	+	6.17027i	0.772691	+	0.274302i
$507$	6.23135	−	6.23135i	0.276744	−	0.276744i
$508$	−7.58672	−	4.58633i	−0.336606	−	0.203486i
$509$	4.70294	−	0.284476i	0.208454	−	0.0126092i	0.0441787	−	0.999024i	$-0.485933\pi$
$509$	4.70294	−	0.284476i	0.208454	−	0.0126092i	0.164276	+	0.986414i	$0.447471\pi$
$510$	−1.40764	+	1.79672i	−0.0623315	+	0.0795603i
$511$	−1.85556	+	10.1255i	−0.0820852	+	0.447925i
$512$	−10.4808	+	4.71703i	−0.463191	+	0.208465i
$513$	−9.00163	+	1.09300i	−0.397432	+	0.0482569i
$514$	5.90302	+	15.5650i	0.260371	+	0.686543i
$515$	−13.6124	+	25.9363i	−0.599835	+	1.14289i
$516$	−6.64060	+	1.21693i	−0.292336	+	0.0535726i
$517$	−34.9073	+	0.746198i	−1.53522	+	0.0328177i
$518$	−1.02298	+	0.618411i	−0.0449470	+	0.0271714i
$519$	4.81659	−	19.5417i	0.211425	−	0.857784i
$520$	22.4441	+	8.51193i	0.984239	+	0.373273i
$521$	10.0787	−	8.92896i	0.441557	−	0.391185i	−0.412842	−	0.910802i	$-0.635464\pi$
$521$	10.0787	−	8.92896i	0.441557	−	0.391185i	0.854399	+	0.519618i	$0.173926\pi$
$522$	−13.0863	−	16.7035i	−0.572774	−	0.731092i
$523$	−0.213359	−	0.406521i	−0.00932953	−	0.0177759i	0.880747	−	0.473588i	$-0.157041\pi$
$523$	−0.213359	−	0.406521i	−0.00932953	−	0.0177759i	−0.890076	+	0.455812i	$0.849349\pi$
$524$	0.514990	−	0.581303i	0.0224974	−	0.0253943i
$525$	−2.87294	−	0.173781i	−0.125385	−	0.00758442i
$526$	−2.85909	+	4.14211i	−0.124662	+	0.180605i
$527$	−8.33246	−	3.75013i	−0.362968	−	0.163358i
$528$	−2.02363	−	2.47225i	−0.0880670	−	0.107591i
$529$			7.55949i			0.328673i
$530$	−10.7302	+	6.02545i	−0.466089	+	0.261729i
$531$	−28.5440			−1.23871
$532$	−0.808996	+	2.59616i	−0.0350744	+	0.112558i
$533$	9.39858	+	4.22996i	0.407098	+	0.183220i
$534$	−2.37425	+	3.43970i	−0.102744	+	0.148850i
$535$	0.834195	−	13.7909i	0.0360654	−	0.596232i
$536$	7.07680	+	6.26949i	0.305671	+	0.270801i
$537$	−3.65894	−	6.97153i	−0.157895	−	0.300844i
$538$	13.1433	+	16.7761i	0.566647	+	0.723271i
$539$	2.31778	+	16.1890i	0.0998337	+	0.697308i
$540$	2.79005	−	7.35675i	0.120065	−	0.316584i
$541$	32.9944	+	8.13239i	1.41854	+	0.349639i	0.872702	−	0.488253i	$-0.162366\pi$
$541$	32.9944	+	8.13239i	1.41854	+	0.349639i	0.545837	+	0.837891i	$0.316212\pi$
$542$	−1.51675	−	2.50901i	−0.0651499	−	0.107771i
$543$	2.57527	+	3.73092i	0.110515	+	0.160109i
$544$	7.16203	−	1.31249i	0.307070	−	0.0562726i
$545$	8.66939	−	16.5181i	0.371356	−	0.707559i
$546$	5.91148	−	2.24193i	0.252988	−	0.0959457i
$547$	−0.970609	−	7.99369i	−0.0415003	−	0.341785i	−0.998639	−	0.0521555i	$-0.983391\pi$
$547$	−0.970609	−	7.99369i	−0.0415003	−	0.341785i	0.957139	−	0.289630i	$-0.0935322\pi$
$548$	−12.0236	+	5.41140i	−0.513624	+	0.231163i
$549$	1.03586	−	5.65249i	0.0442093	−	0.241242i
$550$	6.88489	−	2.30797i	0.293573	−	0.0984120i
$551$	1.13092	+	18.6963i	0.0481786	+	0.796487i
$552$	7.90328	−	13.0736i	0.336386	−	0.556451i
$553$	13.1410	+	13.1410i	0.558813	+	0.558813i
$554$	23.7293	−	5.84874i	1.00816	−	0.248489i
$555$	−1.26690	−	0.153830i	−0.0537771	−	0.00652972i
$556$	−2.57797	−	8.27298i	−0.109330	−	0.350853i
$557$	−35.4995	+	11.0621i	−1.50416	+	0.468716i	−0.935342	−	0.353745i	$-0.884908\pi$
$557$	−35.4995	+	11.0621i	−1.50416	+	0.468716i	−0.568821	+	0.822461i	$0.692600\pi$
$558$	−13.3876	−	1.62555i	−0.566743	−	0.0688150i
$559$	8.45291	+	34.2948i	0.357520	+	1.45051i
$560$	1.79076	+	1.79076i	0.0756734	+	0.0756734i
$561$	1.92482	+	4.04357i	0.0812659	+	0.170720i
$562$	12.6344	−	0.764242i	0.532951	−	0.0322376i
$563$	14.5406	+	11.3918i	0.612813	+	0.480108i	0.874488	−	0.485048i	$-0.161198\pi$
$563$	14.5406	+	11.3918i	0.612813	+	0.480108i	−0.261675	+	0.965156i	$0.584275\pi$
$564$	−1.72371	+	9.40599i	−0.0725814	+	0.396064i
$565$	−8.22771	−	18.2812i	−0.346142	−	0.769097i
$566$	0.863896	+	7.11483i	0.0363123	+	0.299058i
$567$	1.07485	+	2.83414i	0.0451393	+	0.119023i
$568$	5.23852	+	2.74939i	0.219803	+	0.115362i
$569$	−44.5436	+	8.16293i	−1.86737	+	0.342208i	−0.990387	−	0.138321i	$-0.955829\pi$
$569$	−44.5436	+	8.16293i	−1.86737	+	0.342208i	−0.876979	+	0.480529i	$0.840445\pi$
$570$	2.44719	−	1.68918i	0.102502	−	0.0707518i
$571$	−19.3463	−	32.0026i	−0.809616	−	1.33927i	−0.937679	−	0.347503i	$-0.887030\pi$
$571$	−19.3463	−	32.0026i	−0.809616	−	1.33927i	0.128063	−	0.991766i	$-0.459124\pi$
$572$	11.4333	−	10.5737i	0.478050	−	0.442107i
$573$	23.5684	+	8.93830i	0.984583	+	0.373403i
$574$	2.08099	+	2.34895i	0.0868587	+	0.0980432i
$575$	7.41995	+	9.47086i	0.309433	+	0.394962i
$576$	13.5136	−	7.09251i	0.563068	−	0.295521i
$577$	−16.4211	−	14.5479i	−0.683621	−	0.605636i	0.248133	−	0.968726i	$-0.420183\pi$
$577$	−16.4211	−	14.5479i	−0.683621	−	0.605636i	−0.931754	+	0.363091i	$0.881722\pi$
$578$	−14.9044	−	0.901547i	−0.619939	−	0.0374994i
$579$	4.90415	+	3.38509i	0.203810	+	0.140680i
$580$	−14.8205	−	6.67016i	−0.615388	−	0.276964i
$581$	−23.7540	−	7.40205i	−0.985482	−	0.307089i
$582$	−7.30632			−0.302857
$583$	1.19985	+	24.1156i	0.0496926	+	0.998765i
$584$	−21.5114			−0.890150
$585$	−16.4281	−	5.11921i	−0.679220	−	0.211653i
$586$	−0.610564	−	0.274792i	−0.0252222	−	0.0113516i
$587$	9.80787	+	6.76988i	0.404814	+	0.279423i	0.753023	−	0.657994i	$-0.228595\pi$
$587$	9.80787	+	6.76988i	0.404814	+	0.279423i	−0.348209	+	0.937417i	$0.613210\pi$
$588$	4.47089	+	0.270439i	0.184376	+	0.0111527i
$589$	8.91037	+	7.89390i	0.367145	+	0.325263i
$590$	19.8276	−	10.4063i	0.816290	−	0.428422i
$591$	11.3654	+	14.5069i	0.467510	+	0.596733i
$592$	−0.573968	−	0.647876i	−0.0235899	−	0.0266275i
$593$	8.33625	+	3.16152i	0.342329	+	0.129828i	0.519777	−	0.854302i	$-0.326015\pi$
$593$	8.33625	+	3.16152i	0.342329	+	0.129828i	−0.177448	+	0.984130i	$0.556784\pi$
$594$	10.7357	+	11.6085i	0.440491	+	0.476303i
$595$	−1.83650	−	3.03794i	−0.0752891	−	0.124543i
$596$	−1.57274	+	1.08558i	−0.0644219	+	0.0444672i
$597$	−17.8264	+	3.26681i	−0.729585	+	0.133701i
$598$	−23.4012	−	12.2819i	−0.956947	−	0.502244i
$599$	1.80137	+	4.74983i	0.0736020	+	0.194073i	0.966768	−	0.255654i	$-0.0822907\pi$
$599$	1.80137	+	4.74983i	0.0736020	+	0.194073i	−0.893166	+	0.449726i	$0.851521\pi$
$600$	−0.724970	−	5.97067i	−0.0295968	−	0.243751i
$601$	−14.0222	−	31.1561i	−0.571978	−	1.27088i	−0.940035	−	0.341079i	$-0.889208\pi$
$601$	−14.0222	−	31.1561i	−0.571978	−	1.27088i	0.368057	−	0.929803i	$-0.380023\pi$
$602$	−1.93857	+	10.5785i	−0.0790104	+	0.431146i
$603$	−5.33511	−	4.17979i	−0.217262	−	0.170214i
$604$	−20.4300	+	1.23578i	−0.831283	+	0.0502834i
$605$	−2.55183	+	18.3069i	−0.103747	+	0.744281i
$606$	5.30968	+	5.30968i	0.215691	+	0.215691i
$607$	−10.5267	−	42.7083i	−0.427264	−	1.73348i	−0.651230	−	0.758880i	$-0.725747\pi$
$607$	−10.5267	−	42.7083i	−0.427264	−	1.73348i	0.223966	−	0.974597i	$-0.428099\pi$
$608$	−9.41678	−	1.14340i	−0.381901	−	0.0463712i
$609$	−12.3596	+	3.85139i	−0.500835	+	0.156066i
$610$	1.34120	+	4.30405i	0.0543034	+	0.174266i
$611$	49.6654	+	6.03047i	2.00925	+	0.243967i
$612$	−3.03589	+	0.748280i	−0.122719	+	0.0302474i
$613$	21.5170	+	21.5170i	0.869064	+	0.869064i	0.992369	−	0.123305i	$-0.0393492\pi$
$613$	21.5170	+	21.5170i	0.869064	+	0.869064i	−0.123305	+	0.992369i	$0.539349\pi$
$614$	−3.34115	+	5.52694i	−0.134838	+	0.223049i
$615$	0.202291	+	3.34427i	0.00815716	+	0.134854i
$616$	13.5965	−	4.55786i	0.547820	−	0.183641i
$617$	−3.29697	+	17.9910i	−0.132731	+	0.724290i	0.848161	+	0.529738i	$0.177710\pi$
$617$	−3.29697	+	17.9910i	−0.132731	+	0.724290i	−0.980892	+	0.194552i	$0.937675\pi$
$618$	−14.7016	+	6.61664i	−0.591384	+	0.266160i
$619$	1.95128	+	16.0702i	0.0784285	+	0.645917i	0.977920	+	0.208979i	$0.0670140\pi$
$619$	1.95128	+	16.0702i	0.0784285	+	0.645917i	−0.899492	+	0.436938i	$0.856063\pi$
$620$	−9.65795	+	3.66278i	−0.387873	+	0.147101i
$621$	−12.1749	+	23.1974i	−0.488563	+	0.930879i
$622$	7.21250	−	1.32174i	0.289195	−	0.0529969i
$623$	−3.69265	−	5.34973i	−0.147943	−	0.214332i
$624$	2.36833	+	3.91770i	0.0948091	+	0.156833i
$625$	−9.10859	−	2.24507i	−0.364344	−	0.0898027i
$626$	−0.703510	+	1.85500i	−0.0281179	+	0.0741408i
$627$	−0.826863	−	5.77539i	−0.0330217	−	0.230647i
$628$	−5.32709	−	6.79952i	−0.212574	−	0.271331i
$629$	0.563835	+	1.07430i	0.0224816	+	0.0428351i
$630$	−3.92166	−	3.47429i	−0.156243	−	0.138419i
$631$	−0.309435	+	5.11557i	−0.0123184	+	0.203647i	0.986809	+	0.161887i	$0.0517581\pi$
$631$	−0.309435	+	5.11557i	−0.0123184	+	0.203647i	−0.999128	+	0.0417602i	$0.986703\pi$
$632$	−22.0609	+	31.9608i	−0.877536	+	1.27133i
$633$	−3.22799	−	1.45280i	−0.128301	−	0.0577436i
$634$	−3.99083	+	12.8070i	−0.158496	+	0.508632i
$635$	−15.0774			−0.598327
$636$	6.53581	+	1.00723i	0.259162	+	0.0399391i
$637$		−	23.4337i		−	0.928479i
$638$	25.2738	−	20.6875i	1.00060	−	0.819027i
$639$	−3.86738	−	1.74057i	−0.152991	−	0.0688558i
$640$	2.66347	−	3.85870i	0.105283	−	0.152528i
$641$	41.9502	+	2.53752i	1.65693	+	0.100226i	0.862145	−	0.506662i	$-0.169121\pi$
$641$	41.9502	+	2.53752i	1.65693	+	0.100226i	0.794788	+	0.606888i	$0.207582\pi$
$642$	5.04260	−	5.69192i	0.199016	−	0.224642i
$643$	14.1925	+	27.0416i	0.559698	+	1.06642i	0.986759	+	0.162193i	$0.0518568\pi$
$643$	14.1925	+	27.0416i	0.559698	+	1.06642i	−0.427061	+	0.904223i	$0.640451\pi$
$644$	4.84524	+	6.18449i	0.190929	+	0.243703i
$645$	−8.59433	+	7.61391i	−0.338401	+	0.299797i
$646$	−2.64322	−	1.00244i	−0.103996	−	0.0394404i
$647$	0.938316	−	3.80690i	0.0368890	−	0.149665i	−0.949609	−	0.313436i	$-0.898520\pi$
$647$	0.938316	−	3.80690i	0.0368890	−	0.149665i	0.986498	+	0.163772i	$0.0523660\pi$
$648$	−5.42059	+	3.27686i	−0.212941	+	0.128727i
$649$	−0.938970	−	43.9253i	−0.0368578	−	1.72422i
$650$	−10.2345	+	1.87554i	−0.401430	+	0.0735647i
$651$	−3.82359	+	7.28524i	−0.149858	+	0.285531i
$652$	−0.530153	−	1.39790i	−0.0207624	−	0.0547460i
$653$	28.6382	−	3.47731i	1.12070	−	0.136078i	0.460852	−	0.887477i	$-0.347544\pi$
$653$	28.6382	−	3.47731i	1.12070	−	0.136078i	0.659847	+	0.751400i	$0.270621\pi$
$654$	9.36304	−	4.21396i	0.366124	−	0.164779i
$655$	0.238082	−	1.29917i	0.00930262	−	0.0507627i
$656$	−1.40137	+	1.78872i	−0.0547144	+	0.0698377i
$657$	15.3924	−	0.931067i	0.600513	−	0.0363244i
$658$	13.0363	+	7.88073i	0.508209	+	0.307223i
$659$	−13.0730	+	13.0730i	−0.509254	+	0.509254i	−0.914297	−	0.405044i	$-0.867256\pi$
$659$	−13.0730	+	13.0730i	−0.509254	+	0.509254i	0.405044	+	0.914297i	$0.367256\pi$
$660$	4.77070	+	1.69358i	0.185699	+	0.0659224i
$661$	−2.15437	−	0.261588i	−0.0837954	−	0.0101746i	0.0785316	−	0.996912i	$-0.474977\pi$
$661$	−2.15437	−	0.261588i	−0.0837954	−	0.0101746i	−0.162327	+	0.986737i	$0.551900\pi$
$662$	−2.02115	−	6.48610i	−0.0785542	−	0.252089i
$663$	−1.90908	−	6.12645i	−0.0741424	−	0.237931i
$664$	6.26702	−	51.6136i	0.243208	−	2.00299i
$665$	1.10678	+	4.49037i	0.0429189	+	0.174129i
$666$	1.26619	+	1.26619i	0.0490638	+	0.0490638i
$667$	46.3109	+	27.9959i	1.79317	+	1.08401i
$668$	0.598154	+	9.88866i	0.0231433	+	0.382604i
$669$	10.0017	−	12.7662i	0.386687	−	0.493570i
$670$	5.22977	+	0.958392i	0.202044	+	0.0370259i
$671$	8.73246	+	1.40810i	0.337113	+	0.0543590i
$672$	−0.790276	−	6.50851i	−0.0304856	−	0.251071i
$673$	−12.5773	−	33.1637i	−0.484820	−	1.27837i	−0.924833	−	0.380374i	$-0.875795\pi$
$673$	−12.5773	−	33.1637i	−0.484820	−	1.27837i	0.440012	−	0.897992i	$-0.354974\pi$
$674$	−6.22763	+	11.8658i	−0.239879	+	0.457052i
$675$	1.85920	+	10.1454i	0.0715608	+	0.390495i
$676$	−7.79407	+	5.37986i	−0.299772	+	0.206918i
$677$	−8.31916	−	13.7616i	−0.319731	−	0.528900i	0.654031	−	0.756468i	$-0.273077\pi$
$677$	−8.31916	−	13.7616i	−0.319731	−	0.528900i	−0.973762	+	0.227568i	$0.926923\pi$
$678$	2.64061	−	10.7134i	0.101412	−	0.411445i
$679$	4.02953	−	10.6250i	0.154639	−	0.407750i
$680$	5.55260	−	4.91917i	0.212932	−	0.188642i
$681$	−21.2267	+	16.6300i	−0.813407	+	0.637264i
$682$	2.06110	−	20.6551i	0.0789237	−	0.790926i
$683$	11.9784	+	10.6119i	0.458341	+	0.406054i	0.860448	−	0.509538i	$-0.170184\pi$
$683$	11.9784	+	10.6119i	0.458341	+	0.406054i	−0.402107	+	0.915593i	$0.631722\pi$
$684$	4.06604	+	0.245950i	0.155469	+	0.00940414i
$685$	−12.7386	+	18.4550i	−0.486715	+	0.705129i
$686$	7.08546	−	15.7433i	0.270524	−	0.601080i
$687$	−24.1527	−	7.52629i	−0.921484	−	0.287146i
$688$	−7.78728			−0.296887
$689$	3.19543	−	34.4501i	0.121736	−	1.31244i
$690$		−	8.59113i		−	0.327059i
$691$	1.84773	−	5.92956i	0.0702908	−	0.225571i	−0.912890	−	0.408205i	$-0.866155\pi$
$691$	1.84773	−	5.92956i	0.0702908	−	0.225571i	0.983181	+	0.182634i	$0.0584624\pi$
$692$	−8.87698	+	19.7238i	−0.337452	+	0.749788i
$693$	−9.53162	+	3.84983i	−0.362076	+	0.146243i
$694$	−14.9570	−	0.904732i	−0.567760	−	0.0343431i
$695$	−11.0311	−	9.77268i	−0.418432	−	0.370699i
$696$	−12.5719	−	23.9538i	−0.476538	−	0.907968i
$697$	2.50730	−	1.96434i	0.0949707	−	0.0744048i
$698$	−5.46608	−	6.16993i	−0.206894	−	0.233535i
$699$	−19.4610	−	7.38060i	−0.736084	−	0.279160i
$700$	3.00323	+	0.740230i	0.113511	+	0.0279781i
$701$	5.77550	−	3.49141i	0.218138	−	0.131869i	−0.404050	−	0.914737i	$-0.632398\pi$
$701$	5.77550	−	3.49141i	0.218138	−	0.131869i	0.622188	+	0.782868i	$0.286244\pi$
$702$	−12.8705	−	18.6461i	−0.485766	−	0.703753i
$703$	−0.284916	−	1.55474i	−0.0107458	−	0.0586381i
$704$	11.3589	+	20.5623i	0.428105	+	0.774970i
$705$	5.76708	+	15.2065i	0.217201	+	0.572711i
$706$	1.76923	+	14.5709i	0.0665859	+	0.548385i
$707$	−10.6498	+	4.79309i	−0.400528	+	0.180263i
$708$	−11.8359	−	2.16902i	−0.444822	−	0.0815166i
$709$	17.4314	+	13.6567i	0.654652	+	0.512887i	0.888199	−	0.459459i	$-0.151957\pi$
$709$	17.4314	+	13.6567i	0.654652	+	0.512887i	−0.233547	+	0.972345i	$0.575033\pi$
$710$	3.32097	−	0.200882i	0.124634	−	0.00753896i
$711$	14.4022	−	23.8241i	0.540125	−	0.893475i
$712$	9.60522	−	9.60522i	0.359971	−	0.359971i
$713$	33.3937	−	8.23080i	1.25060	−	0.308246i
$714$	0.235511	−	1.93961i	0.00881378	−	0.0725880i
$715$	7.33734	−	25.4490i	0.274401	−	0.951739i
$716$	2.51726	+	8.07818i	0.0940745	+	0.301896i
$717$	14.8560	+	1.80385i	0.554808	+	0.0673659i
$718$	1.98019	+	8.03394i	0.0739000	+	0.299824i
$719$	−27.7475	+	27.7475i	−1.03481	+	1.03481i	−0.0354338	+	0.999372i	$0.511281\pi$
$719$	−27.7475	+	27.7475i	−1.03481	+	1.03481i	−0.999372	+	0.0354338i	$0.988719\pi$
$720$	1.96262	−	3.24658i	0.0731427	−	0.120993i
$721$	−1.51395	−	25.0285i	−0.0563823	−	0.932110i
$722$	−12.1467	−	9.51633i	−0.452053	−	0.354161i
$723$	−11.2557	−	2.06268i	−0.418604	−	0.0767120i
$724$	−1.99950	−	4.44271i	−0.0743109	−	0.165112i
$725$	21.1500	−	2.56807i	0.785491	−	0.0953759i
$726$	−7.31970	+	7.06551i	−0.271660	+	0.262226i
$727$	17.1938	−	32.7601i	0.637683	−	1.21500i	−0.325343	−	0.945596i	$-0.605480\pi$
$727$	17.1938	−	32.7601i	0.637683	−	1.21500i	0.963026	−	0.269408i	$-0.0868280\pi$
$728$	−20.2114	+	3.70388i	−0.749086	+	0.137275i
$729$	−7.02046	+	4.84587i	−0.260017	+	0.179477i
$730$	−10.3526	+	6.25836i	−0.383167	+	0.231632i
$731$	10.5985	+	2.61229i	0.391999	+	0.0966190i
$732$	0.859048	−	2.26512i	0.0317513	−	0.0837213i
$733$	17.1693	+	19.3801i	0.634162	+	0.715821i	0.974476	−	0.224491i	$-0.0720719\pi$
$733$	17.1693	+	19.3801i	0.634162	+	0.715821i	−0.340314	+	0.940312i	$0.610533\pi$
$734$	16.4755	−	12.9078i	0.608123	−	0.476434i
$735$	6.74509	−	3.54010i	0.248796	−	0.130578i
$736$	−18.1739	+	20.5141i	−0.669898	+	0.756159i
$737$	6.25661	−	8.34748i	0.230465	−	0.307484i
$738$	2.67044	−	3.86880i	0.0983004	−	0.142413i
$739$	−17.8164	−	8.01852i	−0.655388	−	0.294966i	0.0553042	−	0.998470i	$-0.482387\pi$
$739$	−17.8164	−	8.01852i	−0.655388	−	0.294966i	−0.710692	+	0.703504i	$0.751618\pi$
$740$	1.30941	+	0.408027i	0.0481347	+	0.0149994i
$741$			8.35996i			0.307111i
$742$	5.19222	−	9.16597i	0.190612	−	0.336494i
$743$			30.5148i			1.11948i	0.828669	+	0.559740i	$0.189099\pi$
$743$			30.5148i			1.11948i	−0.828669	+	0.559740i	$0.810901\pi$
$744$	−16.4148	−	5.11505i	−0.601794	−	0.187527i
$745$	−1.33389	+	2.96378i	−0.0488699	+	0.108585i
$746$	23.4542	+	16.1893i	0.858719	+	0.592731i
$747$	−2.25036	+	37.2030i	−0.0823365	+	1.36119i
$748$	−1.25137	−	4.64720i	−0.0457545	−	0.169918i
$749$	5.49625	+	10.4722i	0.200829	+	0.382647i
$750$	−6.87815	−	8.77931i	−0.251155	−	0.320575i
$751$	−0.802027	−	0.905302i	−0.0292664	−	0.0330349i	0.733695	−	0.679479i	$-0.237794\pi$
$751$	−0.802027	−	0.905302i	−0.0292664	−	0.0330349i	−0.762962	+	0.646444i	$0.776256\pi$
$752$	−3.91136	+	10.3134i	−0.142633	+	0.376091i
$753$	2.72249	−	11.0456i	0.0992130	−	0.402523i
$754$	−40.0506	+	24.2114i	−1.45856	+	0.881728i
$755$	−28.6474	+	19.7739i	−1.04259	+	0.719646i
$756$	1.21406	+	6.62493i	0.0441551	+	0.240946i
$757$	−39.9956	−	20.9913i	−1.45366	−	0.762942i	−0.461413	−	0.887186i	$-0.652657\pi$
$757$	−39.9956	−	20.9913i	−1.45366	−	0.762942i	−0.992252	+	0.124244i	$0.960350\pi$
$758$	1.34276	−	0.509242i	0.0487713	−	0.0184965i
$759$	−15.0895	−	7.51271i	−0.547713	−	0.272694i
$760$	−8.81287	+	3.96635i	−0.319676	+	0.143875i
$761$	9.06665	−	49.4751i	0.328666	−	1.79347i	−0.239861	−	0.970807i	$-0.577102\pi$
$761$	9.06665	−	49.4751i	0.328666	−	1.79347i	0.568527	−	0.822665i	$-0.307513\pi$
$762$	−6.53246	−	5.11785i	−0.236646	−	0.185400i
$763$	0.964191	+	15.9400i	0.0349061	+	0.577066i
$764$	−23.1819	−	14.0139i	−0.838692	−	0.507007i
$765$	−3.76021	+	3.76021i	−0.135951	+	0.135951i
$766$	8.13180	+	32.9920i	0.293814	+	1.19205i
$767$	−7.58839	+	62.4960i	−0.274001	+	2.25660i
$768$	14.8976	−	4.64228i	0.537571	−	0.167514i
$769$	−5.31525	+	1.65630i	−0.191673	+	0.0597276i	−0.391837	−	0.920035i	$-0.628160\pi$
$769$	−5.31525	+	1.65630i	−0.191673	+	0.0597276i	0.200164	+	0.979762i	$0.435852\pi$
$770$	5.21744	−	6.14918i	0.188023	−	0.221601i
$771$	−3.64088	−	14.7716i	−0.131123	−	0.531988i
$772$	−4.52828	−	4.52828i	−0.162976	−	0.162976i
$773$	−9.72791	+	16.0919i	−0.349889	+	0.578787i	−0.980310	−	0.197467i	$-0.936728\pi$
$773$	−9.72791	+	16.0919i	−0.349889	+	0.578787i	0.630421	+	0.776254i	$0.282882\pi$
$774$	16.0810	−	0.972719i	0.578018	−	0.0349637i
$775$	8.35075	−	10.6590i	0.299968	−	0.382881i
$776$	23.3571	+	4.28035i	0.838471	+	0.153656i
$777$	0.996221	−	0.448363i	0.0357392	−	0.0160849i
$778$	−10.1845	+	1.23662i	−0.365132	+	0.0443350i
$779$	−3.87991	+	1.47145i	−0.139012	+	0.0527203i
$780$	−6.42302	−	3.37106i	−0.229981	−	0.120703i
$781$	2.55127	−	6.00862i	0.0912917	−	0.215005i
$782$	−6.72168	+	4.63964i	−0.240367	+	0.165913i
$783$	24.0005	+	39.7018i	0.857710	+	1.41883i
$784$	5.01633	+	1.23641i	0.179155	+	0.0441576i
$785$	−13.7359	−	5.20932i	−0.490254	−	0.185929i
$786$	0.544142	−	0.482067i	0.0194089	−	0.0171948i
$787$	−6.90128	+	5.40681i	−0.246004	+	0.192732i	−0.732146	−	0.681148i	$-0.761481\pi$
$787$	−6.90128	+	5.40681i	−0.246004	+	0.192732i	0.486141	+	0.873880i	$0.338404\pi$
$788$	−9.20381	−	17.5364i	−0.327872	−	0.624708i
$789$	3.05021	−	3.44298i	0.108590	−	0.122573i
$790$	−1.31864	+	21.7997i	−0.0469150	+	0.775597i
$791$	14.1233	+	9.74861i	0.502167	+	0.346621i
$792$	−11.5035	−	18.1417i	−0.408760	−	0.644638i
$793$	−12.1005	−	3.77067i	−0.429702	−	0.133901i
$794$	18.3084			0.649742
$795$	10.3987	−	4.28456i	0.368805	−	0.151958i
$796$	19.4765			0.690328
$797$	7.60839	−	24.4162i	0.269503	−	0.864866i	−0.716420	−	0.697669i	$-0.754221\pi$
$797$	7.60839	−	24.4162i	0.269503	−	0.864866i	0.985923	−	0.167197i	$-0.0534716\pi$
$798$	−1.04468	+	2.32119i	−0.0369814	+	0.0821693i
$799$	8.78305	−	12.7244i	0.310722	−	0.450158i
$800$	−0.651484	+	10.7703i	−0.0230334	+	0.380788i
$801$	−6.45721	+	7.28868i	−0.228154	+	0.257533i
$802$	1.64207	−	0.861825i	0.0579835	−	0.0304321i
$803$	1.93912	+	23.6561i	0.0684301	+	0.834804i
$804$	−1.89462	−	2.13858i	−0.0668180	−	0.0754219i
$805$	12.4934	+	4.73812i	0.440335	+	0.166997i
$806$	−7.11815	+	28.8795i	−0.250726	+	1.01724i
$807$	−10.0762	−	16.6681i	−0.354699	−	0.586743i
$808$	−13.8635	−	20.0848i	−0.487718	−	0.706581i
$809$	6.31650	+	34.4681i	0.222076	+	1.21183i	0.885876	+	0.463922i	$0.153558\pi$
$809$	6.31650	+	34.4681i	0.222076	+	1.21183i	−0.663800	+	0.747910i	$0.731057\pi$
$810$	−1.65537	+	3.15404i	−0.0581637	+	0.110822i
$811$	5.93268	−	2.24997i	0.208325	−	0.0790071i	−0.248235	−	0.968700i	$-0.579851\pi$
$811$	5.93268	−	2.24997i	0.208325	−	0.0790071i	0.456560	+	0.889693i	$0.349081\pi$
$812$	13.8110	−	1.67696i	0.484670	−	0.0588496i
$813$	1.09968	+	2.44339i	0.0385674	+	0.0856933i
$814$	−1.90683	+	1.99014i	−0.0668345	+	0.0697543i
$815$	−2.00155	−	1.56811i	−0.0701113	−	0.0549287i
$816$	1.41218	−	0.0854211i	0.0494362	−	0.00299034i
$817$	−12.1698	−	7.35692i	−0.425769	−	0.257386i
$818$	−10.5625	−	10.5625i	−0.369308	−	0.369308i
$819$	14.3018	−	3.52509i	0.499747	−	0.123177i
$820$	0.433999	−	3.57431i	0.0151559	−	0.124820i
$821$	−16.7335	−	53.6996i	−0.584002	−	1.87413i	−0.474767	−	0.880112i	$-0.657468\pi$
$821$	−16.7335	−	53.6996i	−0.584002	−	1.87413i	−0.109235	−	0.994016i	$-0.534840\pi$
$822$	−11.7835	+	3.67189i	−0.410997	+	0.128072i
$823$	−1.80828	+	14.8925i	−0.0630326	+	0.519120i	0.926659	+	0.375903i	$0.122668\pi$
$823$	−1.80828	+	14.8925i	−0.0630326	+	0.519120i	−0.989691	+	0.143216i	$0.954256\pi$
$824$	50.8748	−	12.5395i	1.77231	−	0.436835i
$825$	−6.50057	+	1.33547i	−0.226321	+	0.0464949i
$826$	−9.91664	+	16.4041i	−0.345044	+	0.570772i
$827$	−0.0189739	−	0.313676i	−0.000659787	−	0.0109076i	0.997831	−	0.0658314i	$-0.0209699\pi$
$827$	−0.0189739	−	0.313676i	−0.000659787	−	0.0109076i	−0.998491	+	0.0549238i	$0.982508\pi$
$828$	7.25814	−	9.26433i	0.252238	−	0.321958i
$829$	−0.475492	+	2.59467i	−0.0165145	+	0.0901167i	−0.990845	−	0.135007i	$-0.956894\pi$
$829$	−0.475492	+	2.59467i	−0.0165145	+	0.0901167i	0.974330	+	0.225124i	$0.0722788\pi$
$830$	−12.0000	−	26.6628i	−0.416525	−	0.925480i
$831$	−22.1727	+	2.69225i	−0.769162	+	0.0933932i
$832$	−11.9362	−	31.4731i	−0.413812	−	1.09113i
$833$	−6.41245	−	3.36551i	−0.222178	−	0.116608i
$834$	−1.46212	−	7.97852i	−0.0506290	−	0.276274i
$835$	9.57111	+	13.8661i	0.331222	+	0.479858i
$836$	−0.244729	+	6.26516i	−0.00846411	+	0.216685i
$837$	28.6279	+	7.05616i	0.989527	+	0.243896i
$838$	5.43341	−	14.3267i	0.187694	−	0.494908i
$839$	−18.7349	+	16.5977i	−0.646802	+	0.573016i	−0.921435	−	0.388533i	$-0.872982\pi$
$839$	−18.7349	+	16.5977i	−0.646802	+	0.573016i	0.274633	+	0.961549i	$0.411444\pi$
$840$	−4.11942	−	5.25805i	−0.142134	−	0.181420i
$841$	59.1739	−	31.0568i	2.04048	−	1.07093i
$842$	7.17855	−	8.10291i	0.247389	−	0.279245i
$843$	−11.5468	−	0.698452i	−0.397693	−	0.0240560i
$844$	3.13078	+	2.16102i	0.107766	+	0.0743853i
$845$	−6.61040	+	14.6877i	−0.227405	+	0.505273i
$846$	6.78882	−	21.7861i	0.233404	−	0.749021i
$847$	−6.23790	−	14.5412i	−0.214337	−	0.499641i
$848$	7.20594	+	2.50169i	0.247453	+	0.0859083i
$849$		−	6.55010i		−	0.224799i
$850$	−0.956633	+	3.06994i	−0.0328122	+	0.105298i
$851$	−4.16438	−	1.87423i	−0.142753	−	0.0642479i
$852$	−1.47137	−	1.01561i	−0.0504083	−	0.0347943i
$853$	−0.864085	+	14.2850i	−0.0295857	+	0.489110i	0.952961	+	0.303093i	$0.0980194\pi$
$853$	−0.864085	+	14.2850i	−0.0295857	+	0.489110i	−0.982547	+	0.186017i	$0.940442\pi$
$854$	−2.88859	−	2.55907i	−0.0988454	−	0.0875694i
$855$	6.13431	−	3.21954i	0.209789	−	0.110106i
$856$	−19.4549	+	15.2420i	−0.664956	+	0.520959i
$857$	−40.7818	+	36.1295i	−1.39308	+	1.23416i	−0.453758	+	0.891125i	$0.649917\pi$
$857$	−40.7818	+	36.1295i	−1.39308	+	1.23416i	−0.939322	+	0.343037i	$0.888544\pi$
$858$	11.8174	−	8.53552i	0.403440	−	0.291398i
$859$	9.57061	−	38.8295i	0.326545	−	1.32484i	−0.546604	−	0.837391i	$-0.684080\pi$
$859$	9.57061	−	38.8295i	0.326545	−	1.32484i	0.873149	−	0.487453i	$-0.162074\pi$
$860$	10.5597	−	6.38357i	0.360084	−	0.217678i
$861$	−1.62922	−	2.36033i	−0.0555235	−	0.0804397i
$862$	−27.2576	+	4.99514i	−0.928398	+	0.170135i
$863$	−18.8732	−	9.90544i	−0.642452	−	0.337185i	0.111838	−	0.993727i	$-0.464326\pi$
$863$	−18.8732	−	9.90544i	−0.642452	−	0.337185i	−0.754290	+	0.656542i	$0.772019\pi$
$864$	−21.9684	+	8.33153i	−0.747381	+	0.283444i
$865$	4.43402	+	36.5174i	0.150761	+	1.24163i
$866$	−3.63674	−	8.08050i	−0.123581	−	0.274587i
$867$	13.4227	+	2.45980i	0.455858	+	0.0835391i
$868$	5.45305	−	6.96031i	0.185089	−	0.236248i
$869$	37.1358	+	21.3793i	1.25975	+	0.725242i
$870$	−13.0193	−	7.87044i	−0.441396	−	0.266833i
$871$	−10.5698	+	10.5698i	−0.358145	+	0.358145i
$872$	−32.4008	+	7.98608i	−1.09723	+	0.270443i
$873$	−16.8983	−	2.05182i	−0.571920	−	0.0694436i
$874$	10.1586	−	3.16555i	0.343620	−	0.107076i
$875$	16.5605	−	5.16045i	0.559846	−	0.174455i
$876$	6.45328	+	0.783570i	0.218036	+	0.0264744i
$877$	3.65538	−	0.900970i	0.123433	−	0.0304236i	−0.177115	−	0.984190i	$-0.556676\pi$
$877$	3.65538	−	0.900970i	0.123433	−	0.0304236i	0.300548	+	0.953767i	$0.402830\pi$
$878$	−6.62629	+	6.62629i	−0.223627	+	0.223627i
$879$	0.523664	+	0.316566i	0.0176627	+	0.0106775i
$880$	5.06059	+	2.91340i	0.170592	+	0.0982109i
$881$	12.2165	−	15.5933i	0.411586	−	0.525350i	−0.536272	−	0.844045i	$-0.680168\pi$
$881$	12.2165	−	15.5933i	0.411586	−	0.525350i	0.947857	+	0.318695i	$0.103245\pi$
$882$	−10.5133	−	1.92664i	−0.354002	−	0.0648732i
$883$	−15.6287	−	34.7257i	−0.525949	−	1.16861i	−0.963080	−	0.269214i	$-0.913236\pi$
$883$	−15.6287	−	34.7257i	−0.525949	−	1.16861i	0.437131	−	0.899398i	$-0.355995\pi$
$884$	0.831242	+	6.84589i	0.0279577	+	0.230252i
$885$	−19.1350	+	7.25694i	−0.643216	+	0.243940i
$886$	27.9064	+	14.6464i	0.937534	+	0.492056i
$887$	32.3447	−	5.92739i	1.08603	−	0.199022i	0.392717	−	0.919659i	$-0.371535\pi$
$887$	32.3447	−	5.92739i	1.08603	−	0.199022i	0.693312	+	0.720637i	$0.256151\pi$
$888$	1.29685	+	1.87880i	0.0435193	+	0.0630485i
$889$	11.0452	−	6.67708i	0.370445	−	0.223942i
$890$	1.82814	−	7.41707i	0.0612795	−	0.248621i
$891$	4.09218	+	5.66561i	0.137093	+	0.189805i
$892$	−13.0455	+	11.5573i	−0.436795	+	0.386966i
$893$	−15.8561	+	12.4224i	−0.530603	+	0.415701i
$894$	−1.58395	+	0.831321i	−0.0529752	+	0.0278035i
$895$	10.7713	+	9.54256i	0.360046	+	0.318973i
$896$	−0.242336	+	4.00630i	−0.00809589	+	0.133841i
$897$	19.8778	+	13.7207i	0.663701	+	0.458119i
$898$	−21.3885	−	9.62616i	−0.713742	−	0.321229i
$899$	18.1191	−	58.1463i	0.604306	−	1.93929i
$900$		−	4.63346i		−	0.154449i
$901$	−8.96806	−	5.82207i	−0.298769	−	0.193961i
$902$	6.04139	+	3.98217i	0.201156	+	0.132592i
$903$	2.92410	−	9.38376i	0.0973079	−	0.312272i
$904$	−14.7180	+	32.7020i	−0.489512	+	1.08765i
$905$	−6.81908	−	4.70687i	−0.226674	−	0.156462i
$906$	−19.1239	−	1.15678i	−0.635350	−	0.0384316i
$907$	17.6908	−	19.9688i	0.587414	−	0.663053i	−0.377381	−	0.926058i	$-0.623175\pi$
$907$	17.6908	−	19.9688i	0.587414	−	0.663053i	0.964794	+	0.263005i	$0.0847137\pi$
$908$	25.6595	−	13.4672i	0.851541	−	0.446923i
$909$	10.7893	+	13.7715i	0.357858	+	0.456772i
$910$	−8.64938	+	7.66268i	−0.286724	+	0.254015i
$911$	8.26489	−	21.7927i	0.273828	−	0.722025i	−0.725597	−	0.688120i	$-0.758436\pi$
$911$	8.26489	−	21.7927i	0.273828	−	0.722025i	0.999425	−	0.0339054i	$-0.0107945\pi$
$912$	−1.78957	−	0.441089i	−0.0592585	−	0.0146059i
$913$	−57.3242	−	2.23919i	−1.89715	−	0.0741062i
$914$	1.65664	+	2.40006i	0.0547967	+	0.0793868i
$915$	−0.742666	−	4.05260i	−0.0245518	−	0.133975i
$916$	24.0731	+	12.6346i	0.795399	+	0.417458i
$917$	0.400931	+	1.05717i	0.0132399	+	0.0349108i
$918$	−6.95080	+	0.843979i	−0.229410	+	0.0278555i
$919$	−7.49264	−	16.6480i	−0.247160	−	0.549166i	0.745998	−	0.665948i	$-0.231973\pi$
$919$	−7.49264	−	16.6480i	−0.247160	−	0.549166i	−0.993158	+	0.116782i	$0.962742\pi$
$920$	−5.03304	+	27.4644i	−0.165934	+	0.905475i
$921$	3.64011	−	4.64626i	0.119946	−	0.153100i
$922$	−1.52219	−	25.1648i	−0.0501307	−	0.828759i
$923$	−4.83904	+	8.00475i	−0.159279	+	0.263480i
$924$	−4.24488	+	0.872061i	−0.139646	+	0.0286887i
$925$	−1.74568	+	0.430271i	−0.0573975	+	0.0141472i
$926$	1.55371	−	12.7960i	0.0510582	−	0.420502i
$927$	−35.8604	+	11.1745i	−1.17781	+	0.367020i
$928$	14.4384	+	46.3346i	0.473965	+	1.52101i
$929$	2.25700	−	18.5880i	0.0740497	−	0.609854i	−0.907692	−	0.419636i	$-0.862158\pi$
$929$	2.25700	−	18.5880i	0.0740497	−	0.609854i	0.981742	−	0.190217i	$-0.0609193\pi$
$930$	−9.38790	+	2.31391i	−0.307841	+	0.0758761i
$931$	6.67135	+	6.67135i	0.218645	+	0.218645i
$932$	19.1419	+	11.5717i	0.627015	+	0.379044i
$933$	−6.68915	+	0.404619i	−0.218993	+	0.0132466i
$934$	−21.1098	−	16.5385i	−0.690734	−	0.541156i
$935$	−5.91013	−	5.66274i	−0.193282	−	0.185191i
$936$	12.6328	+	28.0690i	0.412918	+	0.917465i
$937$	−32.7911	+	3.98156i	−1.07124	+	0.130072i	−0.637106	−	0.770776i	$-0.719869\pi$
$937$	−32.7911	+	3.98156i	−1.07124	+	0.130072i	−0.434134	+	0.900848i	$0.642945\pi$
$938$	−4.25561	+	1.61394i	−0.138951	+	0.0526970i
$939$	0.842608	−	1.60545i	0.0274975	−	0.0523920i
$940$	−3.15046	−	17.1915i	−0.102757	−	0.560726i
$941$	3.61432	+	5.23624i	0.117823	+	0.170697i	0.877458	−	0.479653i	$-0.159238\pi$
$941$	3.61432	+	5.23624i	0.117823	+	0.170697i	−0.759635	+	0.650350i	$0.774622\pi$
$942$	−4.18298	−	6.91950i	−0.136289	−	0.225450i
$943$	−2.86910	+	11.6404i	−0.0934309	+	0.379064i
$944$	−12.9778	−	4.92182i	−0.422391	−	0.160192i
$945$	7.59594	+	8.57405i	0.247096	+	0.278914i
$946$	2.02587	+	24.7144i	0.0658667	+	0.803533i
$947$	−24.2654	+	12.7354i	−0.788518	+	0.413846i	−0.810373	−	0.585915i	$-0.800735\pi$
$947$	−24.2654	+	12.7354i	−0.788518	+	0.413846i	0.0218543	+	0.999761i	$0.493043\pi$
$948$	7.78231	−	8.78441i	0.252758	−	0.285304i
$949$	2.05350	−	33.9485i	0.0666596	−	1.10201i
$950$	2.37971	−	3.44760i	0.0772079	−	0.111855i
$951$	5.03151	−	11.1796i	0.163158	−	0.362522i
$952$	−1.88919	+	6.06264i	−0.0612291	+	0.196491i
$953$	47.7928			1.54816			0.774080	−	0.633088i	$-0.218213\pi$
$953$	47.7928			1.54816			0.774080	+	0.633088i	$0.218213\pi$
$954$	−15.1930	−	4.26596i	−0.491891	−	0.138116i
$955$	−46.0702			−1.49080
$956$	−15.3544	−	4.78462i	−0.496597	−	0.154746i
$957$	−25.2087	+	15.9846i	−0.814881	+	0.516709i
$958$	−20.0529	−	13.8415i	−0.647879	−	0.447198i
$959$	1.15902	−	19.1609i	0.0374268	−	0.618738i
$960$	7.25593	−	8.19025i	0.234184	−	0.264339i
$961$	−3.58188	−	6.82470i	−0.115544	−	0.220152i
$962$	3.10888	−	2.43565i	0.100234	−	0.0785286i
$963$	13.2611	−	11.7483i	0.427334	−	0.378585i
$964$	11.4985	+	4.36080i	0.370341	+	0.140452i
$965$	−10.5749	−	2.60647i	−0.340417	−	0.0839054i
$966$	3.80462	+	6.29361i	0.122412	+	0.202494i
$967$	−18.0144	+	12.4344i	−0.579303	+	0.399864i	−0.821370	−	0.570396i	$-0.806790\pi$
$967$	−18.0144	+	12.4344i	−0.579303	+	0.399864i	0.242067	+	0.970259i	$0.422174\pi$
$968$	27.5392	−	18.2991i	0.885142	−	0.588155i
$969$	2.28763	+	1.20064i	0.0734893	+	0.0385702i
$970$	12.4861	−	4.73536i	0.400905	−	0.152043i
$971$	−13.8089	+	1.67670i	−0.443147	+	0.0538078i	−0.339069	−	0.940761i	$-0.610112\pi$
$971$	−13.8089	+	1.67670i	−0.443147	+	0.0538078i	−0.104078	+	0.994569i	$0.533189\pi$
$972$	14.5551	−	6.55070i	0.466854	−	0.210114i
$973$	12.4089	+	2.27402i	0.397812	+	0.0729017i
$974$	3.94543	−	5.03597i	0.126420	−	0.161363i
$975$	9.49187	−	0.574152i	0.303983	−	0.0183876i
$976$	1.44561	−	2.39134i	0.0462730	−	0.0765449i
$977$	−3.28619	−	3.28619i	−0.105135	−	0.105135i	0.652583	−	0.757717i	$-0.273685\pi$
$977$	−3.28619	−	3.28619i	−0.105135	−	0.105135i	−0.757717	+	0.652583i	$0.773685\pi$
$978$	−0.334917	−	1.35881i	−0.0107095	−	0.0434500i
$979$	−11.4287	−	9.69698i	−0.365262	−	0.309917i
$980$	−7.81579	+	2.43550i	−0.249666	+	0.0777992i
$981$	22.8385	−	7.11677i	0.729177	−	0.227221i
$982$	2.61146	−	21.5073i	0.0833349	−	0.686325i
$983$	1.52704	+	6.19545i	0.0487050	+	0.197604i	0.990254	−	0.139271i	$-0.0444760\pi$
$983$	1.52704	+	6.19545i	0.0487050	+	0.197604i	−0.941549	+	0.336875i	$0.890630\pi$
$984$	4.23787	−	4.23787i	0.135098	−	0.135098i
$985$	−28.8251	−	17.4254i	−0.918443	−	0.555218i
$986$	0.873260	+	14.4367i	0.0278103	+	0.459758i
$987$	−10.9591	−	8.58589i	−0.348831	−	0.273292i
$988$	1.61945	−	8.83705i	0.0515215	−	0.281144i
$989$	−37.4664	+	16.8623i	−1.19136	+	0.536189i
$990$	−10.8142	−	5.38415i	−0.343697	−	0.171119i
$991$	−54.9385	+	20.8354i	−1.74518	+	0.661859i	−0.999988	−	0.00499173i	$-0.998411\pi$
$991$	−54.9385	+	20.8354i	−1.74518	+	0.661859i	−0.745191	+	0.666851i	$0.767642\pi$
$992$	27.3115	+	14.3342i	0.867141	+	0.455111i
$993$	1.11918	+	6.10717i	0.0355161	+	0.193805i
$994$	−2.34389	+	1.61787i	−0.0743435	+	0.0513156i
$995$	28.3471	−	17.1364i	0.898663	−	0.543261i
$996$	−3.76012	+	15.2554i	−0.119144	+	0.483386i
$997$	−17.6672	+	46.5845i	−0.559525	+	1.47535i	0.294776	+	0.955566i	$0.404755\pi$
$997$	−17.6672	+	46.5845i	−0.559525	+	1.47535i	−0.854301	+	0.519779i	$0.826014\pi$
$998$	12.6405	+	14.2682i	0.400128	+	0.451651i
$999$	−2.41444	−	3.08180i	−0.0763895	−	0.0975040i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	583.2.q.b.21.18	✓	1200
11.10	odd	2	inner	583.2.q.b.21.33	yes	1200
53.48	odd	52	inner	583.2.q.b.472.33	yes	1200
583.472	even	52	inner	583.2.q.b.472.18	yes	1200

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
583.2.q.b.21.18	✓	1200	1.1	even	1	trivial
583.2.q.b.21.33	yes	1200	11.10	odd	2	inner
583.2.q.b.472.18	yes	1200	583.472	even	52	inner
583.2.q.b.472.33	yes	1200	53.48	odd	52	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 583 = 11 \cdot 53 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	583.q (of order \(52\), degree \(24\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.960421 - 0.299279i) q^{2} +(0.838375 + 0.377322i) q^{3} +(-0.813127 - 0.561261i) q^{4} +(-1.67729 - 0.101457i) q^{5} +(-0.692268 - 0.613296i) q^{6} +(1.27366 - 0.668470i) q^{7} +(1.85377 + 2.36617i) q^{8} +(-1.42887 - 1.61286i) q^{9} +(1.58054 + 0.599420i) q^{10} +(2.43496 - 2.25188i) q^{11} +(-0.469929 - 0.777358i) q^{12} +(-3.91115 + 2.69967i) q^{13} +(-1.42331 + 0.260832i) q^{14} +(-1.36791 - 0.717937i) q^{15} +(-0.371543 - 0.979677i) q^{16} +(0.177030 + 1.45797i) q^{17} +(0.889620 + 1.97665i) q^{18} +(0.344895 - 1.88203i) q^{19} +(1.30690 + 1.02389i) q^{20} +(1.32004 - 0.0798475i) q^{21} +(-3.01253 + 1.43402i) q^{22} +(-3.90893 - 3.90893i) q^{23} +(0.661350 + 2.68320i) q^{24} +(-2.16054 - 0.262337i) q^{25} +(4.56431 - 1.42230i) q^{26} +(-1.40991 - 4.52455i) q^{27} +(-1.41084 - 0.171307i) q^{28} +(-9.50476 + 2.34271i) q^{29} +(1.09891 + 1.09891i) q^{30} +(-3.21864 + 5.32428i) q^{31} +(-0.299339 - 4.94866i) q^{32} +(2.89109 - 0.969158i) q^{33} +(0.266318 - 1.45325i) q^{34} +(-2.20412 + 0.991995i) q^{35} +(0.256616 + 2.11343i) q^{36} +(0.772412 - 0.292937i) q^{37} +(-0.894499 + 1.70432i) q^{38} +(-4.29765 + 0.787574i) q^{39} +(-2.86925 - 4.15682i) q^{40} +(-1.12196 - 1.85594i) q^{41} +(-1.29169 - 0.318372i) q^{42} +(2.63552 - 6.94930i) q^{43} +(-3.24382 + 0.464419i) q^{44} +(2.23299 + 2.85020i) q^{45} +(2.58436 + 4.92408i) q^{46} +(-7.87984 - 6.98093i) q^{47} +(0.0581617 - 0.961528i) q^{48} +(-2.80109 + 4.05807i) q^{49} +(1.99652 + 0.898560i) q^{50} +(-0.401708 + 1.28913i) q^{51} +4.69548 q^{52} +(-4.67126 + 5.58385i) q^{53} +4.76743i q^{54} +(-4.31260 + 3.53001i) q^{55} +(3.94279 + 1.77451i) q^{56} +(0.999284 - 1.44771i) q^{57} +(9.82970 + 0.594587i) q^{58} +(8.78438 - 9.91551i) q^{59} +(0.709338 + 1.35153i) q^{60} +(1.64476 + 2.09938i) q^{61} +(4.68469 - 4.15028i) q^{62} +(-2.89804 - 1.09908i) q^{63} +(-1.69503 + 6.87702i) q^{64} +(6.83403 - 4.13131i) q^{65} +(-3.06672 + 0.0655558i) q^{66} +(3.09383 - 0.566966i) q^{67} +(0.674356 - 1.28488i) q^{68} +(-1.80222 - 4.75207i) q^{69} +(2.41377 - 0.293085i) q^{70} +(1.79481 - 0.807780i) q^{71} +(1.16749 - 6.37081i) q^{72} +(-4.41355 + 5.63348i) q^{73} +(-0.829511 + 0.0501762i) q^{74} +(-1.71236 - 1.03516i) q^{75} +(-1.33676 + 1.33676i) q^{76} +(1.59600 - 4.49584i) q^{77} +(4.36326 + 0.529796i) q^{78} +(3.84369 + 12.3348i) q^{79} +(0.523789 + 1.68090i) q^{80} +(-0.254000 + 2.09188i) q^{81} +(0.522106 + 2.11827i) q^{82} +(-12.2309 - 12.2309i) q^{83} +(-1.11817 - 0.675959i) q^{84} +(-0.149009 - 2.46341i) q^{85} +(-4.61099 + 5.88550i) q^{86} +(-8.85250 - 1.62228i) q^{87} +(9.84219 + 1.58704i) q^{88} +(-0.544719 - 4.48616i) q^{89} +(-1.29160 - 3.40568i) q^{90} +(-3.17684 + 6.05296i) q^{91} +(0.984527 + 5.37239i) q^{92} +(-4.70739 + 3.24928i) q^{93} +(5.47872 + 9.06290i) q^{94} +(-0.769435 + 3.12172i) q^{95} +(1.61628 - 4.26178i) q^{96} +(5.91317 - 5.23861i) q^{97} +(3.90472 - 3.05915i) q^{98} +(-7.11120 - 0.709601i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1200 q - 48 q^{3} - 52 q^{4} - 44 q^{5} - 52 q^{9} - 26 q^{11} - 64 q^{12} - 28 q^{14} - 28 q^{15} + 72 q^{16} - 52 q^{20} - 12 q^{22} - 68 q^{23} - 52 q^{25} - 80 q^{26} - 72 q^{27} - 56 q^{31} - 28 q^{33}+ \cdots - 258 q^{99}+O(q^{100}) \) 1200 * q - 48 * q^3 - 52 * q^4 - 44 * q^5 - 52 * q^9 - 26 * q^11 - 64 * q^12 - 28 * q^14 - 28 * q^15 + 72 * q^16 - 52 * q^20 - 12 * q^22 - 68 * q^23 - 52 * q^25 - 80 * q^26 - 72 * q^27 - 56 * q^31 - 28 * q^33 - 40 * q^34 - 144 * q^36 - 52 * q^37 - 52 * q^38 + 164 * q^42 - 150 * q^44 + 224 * q^45 - 36 * q^47 - 128 * q^48 - 180 * q^49 + 56 * q^53 - 124 * q^55 + 220 * q^56 - 104 * q^59 - 520 * q^60 + 156 * q^64 - 70 * q^66 + 12 * q^67 - 36 * q^69 - 52 * q^70 - 68 * q^71 + 8 * q^75 - 38 * q^77 - 52 * q^78 - 80 * q^80 + 40 * q^81 - 52 * q^82 - 48 * q^86 - 138 * q^88 - 12 * q^89 - 52 * q^91 - 144 * q^92 + 156 * q^93 + 36 * q^97 - 258 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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