LMFDB - Embedded newform 570.2.bi.a.263.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [570,2,Mod(17,570)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(570, base_ring=CyclotomicField(36))

chi = DirichletCharacter(H, H._module([18, 9, 20]))

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

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

chi := DirichletCharacter("570.17");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 570 = 2 \cdot 3 \cdot 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	570.bi (of order $36$, degree $12$, 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:	$4.55147291521$
Analytic rank:	$0$
Dimension:	$480$
Relative dimension:	$40$ over $\Q(\zeta_{36})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label			263.4
Character	$\chi$	$=$	570.263
Dual form			570.2.bi.a.557.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.0871557 - 0.996195i) q^{2} +(-1.30764 - 1.13582i) q^{3} +(-0.984808 + 0.173648i) q^{4} +(1.70877 + 1.44225i) q^{5} +(-1.01753 + 1.40165i) q^{6} +(-3.51350 - 0.941441i) q^{7} +(0.258819 + 0.965926i) q^{8} +(0.419827 + 2.97048i) q^{9} +O(q^{10})$	\(q+(-0.0871557 - 0.996195i) q^{2} +(-1.30764 - 1.13582i) q^{3} +(-0.984808 + 0.173648i) q^{4} +(1.70877 + 1.44225i) q^{5} +(-1.01753 + 1.40165i) q^{6} +(-3.51350 - 0.941441i) q^{7} +(0.258819 + 0.965926i) q^{8} +(0.419827 + 2.97048i) q^{9} +(1.28784 - 1.82797i) q^{10} +(-1.29408 - 0.747136i) q^{11} +(1.48500 + 0.891495i) q^{12} +(1.36985 + 2.93764i) q^{13} +(-0.631636 + 3.58219i) q^{14} +(-0.596316 - 3.82680i) q^{15} +(0.939693 - 0.342020i) q^{16} +(0.302375 + 3.45616i) q^{17} +(2.92259 - 0.677124i) q^{18} +(2.58276 + 3.51132i) q^{19} +(-1.93326 - 1.12362i) q^{20} +(3.52508 + 5.22177i) q^{21} +(-0.631507 + 1.35427i) q^{22} +(-3.19035 - 2.23391i) q^{23} +(0.758676 - 1.55705i) q^{24} +(0.839814 + 4.92897i) q^{25} +(2.80707 - 1.62067i) q^{26} +(2.82495 - 4.36115i) q^{27} +(3.62361 + 0.317024i) q^{28} +(-3.57713 + 3.00157i) q^{29} +(-3.76027 + 0.927574i) q^{30} +(4.43573 + 7.68290i) q^{31} +(-0.422618 - 0.906308i) q^{32} +(0.843571 + 2.44682i) q^{33} +(3.41666 - 0.602449i) q^{34} +(-4.64599 - 6.67607i) q^{35} +(-0.929267 - 2.85245i) q^{36} +(5.15462 - 5.15462i) q^{37} +(3.27285 - 2.87896i) q^{38} +(1.54537 - 5.39727i) q^{39} +(-0.950846 + 2.02383i) q^{40} +(1.28662 + 3.53495i) q^{41} +(4.89467 - 3.96677i) q^{42} +(-2.95931 + 2.07213i) q^{43} +(1.40416 + 0.511071i) q^{44} +(-3.56679 + 5.68137i) q^{45} +(-1.94735 + 3.37291i) q^{46} +(5.46752 + 0.478346i) q^{47} +(-1.61725 - 0.620083i) q^{48} +(5.39623 + 3.11551i) q^{49} +(4.83702 - 1.26621i) q^{50} +(3.53018 - 4.86285i) q^{51} +(-1.85915 - 2.65514i) q^{52} +(-8.38937 - 5.87430i) q^{53} +(-4.59077 - 2.43410i) q^{54} +(-1.13373 - 3.14307i) q^{55} -3.63745i q^{56} +(0.610910 - 7.52508i) q^{57} +(3.30191 + 3.30191i) q^{58} +(7.15446 + 6.00331i) q^{59} +(1.25177 + 3.66511i) q^{60} +(-0.00426072 - 0.0241638i) q^{61} +(7.26707 - 5.08846i) q^{62} +(1.32147 - 10.8320i) q^{63} +(-0.866025 + 0.500000i) q^{64} +(-1.89607 + 6.99543i) q^{65} +(2.36399 - 1.05362i) q^{66} +(-0.0962128 + 1.09972i) q^{67} +(-0.897938 - 3.35115i) q^{68} +(1.63450 + 6.54480i) q^{69} +(-6.24574 + 5.21017i) q^{70} +(-5.99409 - 1.05692i) q^{71} +(-2.76060 + 1.17434i) q^{72} +(6.61286 + 3.08363i) q^{73} +(-5.58426 - 4.68575i) q^{74} +(4.50025 - 7.39917i) q^{75} +(-3.15326 - 3.00948i) q^{76} +(3.84336 + 3.84336i) q^{77} +(-5.51142 - 1.06909i) q^{78} +(5.00093 + 13.7399i) q^{79} +(2.09900 + 0.770839i) q^{80} +(-8.64749 + 2.49417i) q^{81} +(3.40937 - 1.58981i) q^{82} +(-12.3490 - 3.30890i) q^{83} +(-4.37828 - 4.53032i) q^{84} +(-4.46797 + 6.34190i) q^{85} +(2.32217 + 2.76745i) q^{86} +(8.08683 + 0.138014i) q^{87} +(0.386746 - 1.44336i) q^{88} +(-9.69825 - 3.52987i) q^{89} +(5.97062 + 3.05806i) q^{90} +(-2.04734 - 11.6111i) q^{91} +(3.52979 + 1.64597i) q^{92} +(2.92608 - 15.0846i) q^{93} -5.48841i q^{94} +(-0.650852 + 9.72504i) q^{95} +(-0.476771 + 1.66514i) q^{96} +(-1.56748 + 0.137137i) q^{97} +(2.63334 - 5.64723i) q^{98} +(1.67606 - 4.15770i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 480 q+O(q^{10}) $ 480 * q	$ 480 q - 36 q^{15} - 48 q^{18} + 24 q^{22} - 24 q^{25} + 72 q^{33} + 24 q^{43} - 36 q^{45} + 24 q^{51} - 120 q^{55} + 108 q^{57} - 48 q^{60} - 48 q^{61} - 36 q^{63} - 24 q^{66} + 48 q^{67} - 48 q^{70} - 48 q^{78} - 144 q^{81} - 48 q^{85} - 96 q^{87} - 168 q^{90} - 144 q^{91} - 228 q^{93} + 48 q^{97}+O(q^{100}) $ 480 * q - 36 * q^15 - 48 * q^18 + 24 * q^22 - 24 * q^25 + 72 * q^33 + 24 * q^43 - 36 * q^45 + 24 * q^51 - 120 * q^55 + 108 * q^57 - 48 * q^60 - 48 * q^61 - 36 * q^63 - 24 * q^66 + 48 * q^67 - 48 * q^70 - 48 * q^78 - 144 * q^81 - 48 * q^85 - 96 * q^87 - 168 * q^90 - 144 * q^91 - 228 * q^93 + 48 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/570\mathbb{Z}\right)^\times$.

$n$	$191$	$211$	$457$
$\chi(n)$	$-1$	$e\left(\frac{2}{9}\right)$	$e\left(\frac{3}{4}\right)$

Coefficient data

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

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

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

$2$	−0.0871557	−	0.996195i	−0.0616284	−	0.704416i
$2$	−0.0871557	−	0.996195i	−0.0616284	−	0.704416i
$3$	−1.30764	−	1.13582i	−0.754964	−	0.655766i
$3$	−1.30764	−	1.13582i	−0.754964	−	0.655766i
$4$	−0.984808	+	0.173648i	−0.492404	+	0.0868241i
$5$	1.70877	+	1.44225i	0.764187	+	0.644995i
$5$	1.70877	+	1.44225i	0.764187	+	0.644995i
$6$	−1.01753	+	1.40165i	−0.415405	+	0.572223i
$7$	−3.51350	−	0.941441i	−1.32798	−	0.355831i	−0.476018	−	0.879435i	$-0.657920\pi$
$7$	−3.51350	−	0.941441i	−1.32798	−	0.355831i	−0.851962	+	0.523604i	$0.824587\pi$
$8$	0.258819	+	0.965926i	0.0915064	+	0.341506i
$9$	0.419827	+	2.97048i	0.139942	+	0.990160i
$10$	1.28784	−	1.82797i	0.407249	−	0.578055i
$11$	−1.29408	−	0.747136i	−0.390179	−	0.225270i	0.292059	−	0.956400i	$-0.405660\pi$
$11$	−1.29408	−	0.747136i	−0.390179	−	0.225270i	−0.682238	+	0.731130i	$0.738993\pi$
$12$	1.48500	+	0.891495i	0.428684	+	0.257353i
$13$	1.36985	+	2.93764i	0.379927	+	0.814756i	0.999554	+	0.0298594i	$0.00950597\pi$
$13$	1.36985	+	2.93764i	0.379927	+	0.814756i	−0.619627	+	0.784896i	$0.712716\pi$
$14$	−0.631636	+	3.58219i	−0.168812	+	0.957380i
$15$	−0.596316	−	3.82680i	−0.153968	−	0.988076i
$16$	0.939693	−	0.342020i	0.234923	−	0.0855050i
$17$	0.302375	+	3.45616i	0.0733368	+	0.838243i	0.940406	+	0.340055i	$0.110446\pi$
$17$	0.302375	+	3.45616i	0.0733368	+	0.838243i	−0.867069	+	0.498188i	$0.833999\pi$
$18$	2.92259	−	0.677124i	0.688860	−	0.159600i
$19$	2.58276	+	3.51132i	0.592526	+	0.805551i
$19$	2.58276	+	3.51132i	0.592526	+	0.805551i
$20$	−1.93326	−	1.12362i	−0.432290	−	0.251248i
$21$	3.52508	+	5.22177i	0.769236	+	1.13948i
$22$	−0.631507	+	1.35427i	−0.134638	+	0.288731i
$23$	−3.19035	−	2.23391i	−0.665234	−	0.465802i	0.191546	−	0.981484i	$-0.438650\pi$
$23$	−3.19035	−	2.23391i	−0.665234	−	0.465802i	−0.856780	+	0.515682i	$0.827539\pi$
$24$	0.758676	−	1.55705i	0.154864	−	0.317832i
$25$	0.839814	+	4.92897i	0.167963	+	0.985793i
$26$	2.80707	−	1.62067i	0.550513	−	0.317839i
$27$	2.82495	−	4.36115i	0.543661	−	0.839305i
$28$	3.62361	+	0.317024i	0.684797	+	0.0599120i
$29$	−3.57713	+	3.00157i	−0.664256	+	0.557377i	−0.911359	−	0.411612i	$-0.864966\pi$
$29$	−3.57713	+	3.00157i	−0.664256	+	0.557377i	0.247103	+	0.968989i	$0.420521\pi$
$30$	−3.76027	+	0.927574i	−0.686528	+	0.169351i
$31$	4.43573	+	7.68290i	0.796680	+	1.37989i	0.921767	+	0.387744i	$0.126746\pi$
$31$	4.43573	+	7.68290i	0.796680	+	1.37989i	−0.125087	+	0.992146i	$0.539921\pi$
$32$	−0.422618	−	0.906308i	−0.0747091	−	0.160214i
$33$	0.843571	+	2.44682i	0.146847	+	0.425937i
$34$	3.41666	−	0.602449i	0.585952	−	0.103319i
$35$	−4.64599	−	6.67607i	−0.785315	−	1.12846i
$36$	−0.929267	−	2.85245i	−0.154878	−	0.475408i
$37$	5.15462	−	5.15462i	0.847415	−	0.847415i	−0.142395	−	0.989810i	$-0.545480\pi$
$37$	5.15462	−	5.15462i	0.847415	−	0.847415i	0.989810	+	0.142395i	$0.0454804\pi$
$38$	3.27285	−	2.87896i	0.530927	−	0.467030i
$39$	1.54537	−	5.39727i	0.247458	−	0.864254i
$40$	−0.950846	+	2.02383i	−0.150342	+	0.319996i
$41$	1.28662	+	3.53495i	0.200936	+	0.552067i	0.998704	−	0.0508976i	$-0.0162082\pi$
$41$	1.28662	+	3.53495i	0.200936	+	0.552067i	−0.797768	+	0.602965i	$0.793986\pi$
$42$	4.89467	−	3.96677i	0.755264	−	0.612086i
$43$	−2.95931	+	2.07213i	−0.451290	+	0.315997i	−0.777031	−	0.629462i	$-0.783275\pi$
$43$	−2.95931	+	2.07213i	−0.451290	+	0.315997i	0.325741	+	0.945459i	$0.394386\pi$
$44$	1.40416	+	0.511071i	0.211685	+	0.0770469i
$45$	−3.56679	+	5.68137i	−0.531706	+	0.846929i
$46$	−1.94735	+	3.37291i	−0.287121	+	0.497308i
$47$	5.46752	+	0.478346i	0.797520	+	0.0697740i	0.478629	−	0.878017i	$-0.341134\pi$
$47$	5.46752	+	0.478346i	0.797520	+	0.0697740i	0.318891	+	0.947791i	$0.396689\pi$
$48$	−1.61725	−	0.620083i	−0.233430	−	0.0895013i
$49$	5.39623	+	3.11551i	0.770889	+	0.445073i
$50$	4.83702	−	1.26621i	0.684057	−	0.179069i
$51$	3.53018	−	4.86285i	0.494325	−	0.680935i
$52$	−1.85915	−	2.65514i	−0.257818	−	0.368202i
$53$	−8.38937	−	5.87430i	−1.15237	−	0.806897i	−0.168484	−	0.985704i	$-0.553887\pi$
$53$	−8.38937	−	5.87430i	−1.15237	−	0.806897i	−0.983884	+	0.178807i	$0.942776\pi$
$54$	−4.59077	−	2.43410i	−0.624725	−	0.331239i
$55$	−1.13373	−	3.14307i	−0.152872	−	0.423812i
$56$		−	3.63745i		−	0.486074i
$57$	0.610910	−	7.52508i	0.0809170	−	0.996721i
$58$	3.30191	+	3.30191i	0.433563	+	0.433563i
$59$	7.15446	+	6.00331i	0.931432	+	0.781564i	0.976074	−	0.217439i	$-0.0697703\pi$
$59$	7.15446	+	6.00331i	0.931432	+	0.781564i	−0.0446422	+	0.999003i	$0.514215\pi$
$60$	1.25177	+	3.66511i	0.161603	+	0.473164i
$61$	−0.00426072	−	0.0241638i	−0.000545530	−	0.00309385i	0.984534	−	0.175195i	$-0.0560556\pi$
$61$	−0.00426072	−	0.0241638i	−0.000545530	−	0.00309385i	−0.985079	+	0.172101i	$0.944944\pi$
$62$	7.26707	−	5.08846i	0.922919	−	0.646235i
$63$	1.32147	−	10.8320i	0.166489	−	1.36471i
$64$	−0.866025	+	0.500000i	−0.108253	+	0.0625000i
$65$	−1.89607	+	6.99543i	−0.235178	+	0.867676i
$66$	2.36399	−	1.05362i	0.290987	−	0.129691i
$67$	−0.0962128	+	1.09972i	−0.0117543	+	0.134352i	−0.999804	−	0.0197815i	$-0.993703\pi$
$67$	−0.0962128	+	1.09972i	−0.0117543	+	0.134352i	0.988050	+	0.154133i	$0.0492585\pi$
$68$	−0.897938	−	3.35115i	−0.108891	−	0.406387i
$69$	1.63450	+	6.54480i	0.196771	+	0.787901i
$70$	−6.24574	+	5.21017i	−0.746509	+	0.622734i
$71$	−5.99409	−	1.05692i	−0.711367	−	0.125433i	−0.193757	−	0.981050i	$-0.562067\pi$
$71$	−5.99409	−	1.05692i	−0.711367	−	0.125433i	−0.517611	+	0.855616i	$0.673178\pi$
$72$	−2.76060	+	1.17434i	−0.325340	+	0.138397i
$73$	6.61286	+	3.08363i	0.773977	+	0.360911i	0.769143	−	0.639077i	$-0.220683\pi$
$73$	6.61286	+	3.08363i	0.773977	+	0.360911i	0.00483407	+	0.999988i	$0.498461\pi$
$74$	−5.58426	−	4.68575i	−0.649157	−	0.544708i
$75$	4.50025	−	7.39917i	0.519644	−	0.854383i
$76$	−3.15326	−	3.00948i	−0.361703	−	0.345211i
$77$	3.84336	+	3.84336i	0.437992	+	0.437992i
$78$	−5.51142	−	1.06909i	−0.624045	−	0.121051i
$79$	5.00093	+	13.7399i	0.562649	+	1.54586i	0.815738	+	0.578421i	$0.196331\pi$
$79$	5.00093	+	13.7399i	0.562649	+	1.54586i	−0.253090	+	0.967443i	$0.581447\pi$
$80$	2.09900	+	0.770839i	0.234675	+	0.0861825i
$81$	−8.64749	+	2.49417i	−0.960832	+	0.277130i
$82$	3.40937	−	1.58981i	0.376502	−	0.175566i
$83$	−12.3490	−	3.30890i	−1.35548	−	0.363199i	−0.493323	−	0.869846i	$-0.664218\pi$
$83$	−12.3490	−	3.30890i	−1.35548	−	0.363199i	−0.862153	+	0.506647i	$0.830885\pi$
$84$	−4.37828	−	4.53032i	−0.477709	−	0.494298i
$85$	−4.46797	+	6.34190i	−0.484620	+	0.687876i
$86$	2.32217	+	2.76745i	0.250406	+	0.298422i
$87$	8.08683	+	0.138014i	0.866999	+	0.0147967i
$88$	0.386746	−	1.44336i	0.0412273	−	0.153862i
$89$	−9.69825	−	3.52987i	−1.02801	−	0.374166i	−0.227689	−	0.973734i	$-0.573117\pi$
$89$	−9.69825	−	3.52987i	−1.02801	−	0.374166i	−0.800324	+	0.599568i	$0.795339\pi$
$90$	5.97062	+	3.05806i	0.629359	+	0.322347i
$91$	−2.04734	−	11.6111i	−0.214620	−	1.21717i
$92$	3.52979	+	1.64597i	0.368007	+	0.171604i
$93$	2.92608	−	15.0846i	0.303420	−	1.56420i
$94$		−	5.48841i		−	0.566086i
$95$	−0.650852	+	9.72504i	−0.0667760	+	0.997768i
$96$	−0.476771	+	1.66514i	−0.0486603	+	0.169948i
$97$	−1.56748	+	0.137137i	−0.159154	+	0.0139242i	−0.166454	−	0.986049i	$-0.553232\pi$
$97$	−1.56748	+	0.137137i	−0.159154	+	0.0139242i	0.00730024	+	0.999973i	$0.497676\pi$
$98$	2.63334	−	5.64723i	0.266008	−	0.570456i
$99$	1.67606	−	4.15770i	0.168451	−	0.417864i
$100$	−1.68296	−	4.70825i	−0.168296	−	0.470825i
$101$	2.13927	−	5.87758i	0.212865	−	0.584841i	−0.786603	−	0.617459i	$-0.788162\pi$
$101$	2.13927	−	5.87758i	0.212865	−	0.584841i	0.999468	+	0.0326176i	$0.0103843\pi$
$102$	−5.15202	−	3.09292i	−0.510126	−	0.306245i
$103$	−16.9707	+	4.54728i	−1.67217	+	0.448057i	−0.965694	−	0.259681i	$-0.916383\pi$
$103$	−16.9707	+	4.54728i	−1.67217	+	0.448057i	−0.706475	+	0.707738i	$0.749716\pi$
$104$	−2.48300	+	2.08349i	−0.243478	+	0.204303i
$105$	−1.50755	+	14.0069i	−0.147122	+	1.36693i
$106$	−5.12076	+	8.86942i	−0.497373	+	0.861474i
$107$	−4.75092	+	17.7307i	−0.459289	+	1.71409i	0.215874	+	0.976421i	$0.430740\pi$
$107$	−4.75092	+	17.7307i	−0.459289	+	1.71409i	−0.675163	+	0.737669i	$0.735927\pi$
$108$	−2.02472	+	4.78545i	−0.194829	+	0.460480i
$109$	−1.32656	−	0.233909i	−0.127062	−	0.0224044i	0.109756	−	0.993959i	$-0.464993\pi$
$109$	−1.32656	−	0.233909i	−0.127062	−	0.0224044i	−0.236817	+	0.971554i	$0.576104\pi$
$110$	−3.03230	+	1.40335i	−0.289119	+	0.133804i
$111$	−12.5951	+	0.885651i	−1.19547	+	0.0840622i
$112$	−3.62361	+	0.317024i	−0.342399	+	0.0299560i
$113$	−8.48059	+	8.48059i	−0.797787	+	0.797787i	−0.982746	−	0.184959i	$-0.940785\pi$
$113$	−8.48059	+	8.48059i	−0.797787	+	0.797787i	0.184959	+	0.982746i	$0.440785\pi$
$114$	−7.54969	+	0.0472685i	−0.707093	+	0.00442710i
$115$	−2.22973	−	8.41853i	−0.207923	−	0.785032i
$116$	3.00157	−	3.57713i	0.278689	−	0.332128i
$117$	−8.15111	+	5.30240i	−0.753570	+	0.490207i
$118$	5.35691	−	7.65046i	0.493144	−	0.704282i
$119$	2.19138	−	12.4279i	0.200883	−	1.13927i
$120$	3.54207	−	1.56645i	0.323345	−	0.142996i
$121$	−4.38358	−	7.59258i	−0.398507	−	0.690234i
$122$	−0.0237005	+	0.00635052i	−0.00214574	+	0.000574949i
$123$	2.33264	−	6.08380i	0.210327	−	0.548558i
$124$	−5.70246	−	6.79593i	−0.512096	−	0.610292i
$125$	−5.67376	+	9.63371i	−0.507477	+	0.861665i
$126$	−10.9060	−	0.372364i	−0.971583	−	0.0331728i
$127$	−5.36453	+	2.50152i	−0.476025	+	0.221974i	−0.645797	−	0.763509i	$-0.723475\pi$
$127$	−5.36453	+	2.50152i	−0.476025	+	0.221974i	0.169772	+	0.985483i	$0.445697\pi$
$128$	0.573576	+	0.819152i	0.0506975	+	0.0724035i
$129$	6.22327	+	0.651648i	0.547928	+	0.0573744i
$130$	7.13406	+	1.27916i	0.625699	+	0.112190i
$131$	−5.34423	+	6.36900i	−0.466927	+	0.556462i	−0.947194	−	0.320660i	$-0.896095\pi$
$131$	−5.34423	+	6.36900i	−0.466927	+	0.556462i	0.480267	+	0.877122i	$0.340540\pi$
$132$	−1.25564	−	2.26316i	−0.109290	−	0.196983i
$133$	−5.76885	−	14.7685i	−0.500222	−	1.28060i
$134$	1.10392			0.0953639
$135$	11.1171	−	3.37794i	0.956806	−	0.290727i
$136$	−3.26014	+	1.18659i	−0.279555	+	0.101750i
$137$	10.1342	−	14.4731i	0.865824	−	1.23652i	−0.104454	−	0.994530i	$-0.533309\pi$
$137$	10.1342	−	14.4731i	0.865824	−	1.23652i	0.970278	−	0.241995i	$-0.0778017\pi$
$138$	6.37744	−	2.19870i	0.542884	−	0.187166i
$139$	−0.674859	+	1.85416i	−0.0572408	+	0.157268i	−0.965017	−	0.262187i	$-0.915556\pi$
$139$	−0.674859	+	1.85416i	−0.0572408	+	0.157268i	0.907776	+	0.419454i	$0.137779\pi$
$140$	5.73469	+	5.76788i	0.484670	+	0.487475i
$141$	−6.60622	−	6.83563i	−0.556344	−	0.575664i
$142$	−0.530478	+	6.06339i	−0.0445168	+	0.508829i
$143$	0.422133	−	4.82500i	0.0353005	−	0.403487i
$144$	1.41047	+	2.64775i	0.117539	+	0.220646i
$145$	−10.4415	−	0.0301249i	−0.867122	−	0.00250173i
$146$	2.49554	−	6.85645i	0.206533	−	0.567444i
$147$	−3.51764	−	10.2031i	−0.290130	−	0.841537i
$148$	−4.18122	+	5.97140i	−0.343694	+	0.490846i
$149$	−2.59564	+	0.944737i	−0.212643	+	0.0773959i	−0.446146	−	0.894960i	$-0.647204\pi$
$149$	−2.59564	+	0.944737i	−0.212643	+	0.0773959i	0.233502	+	0.972356i	$0.424981\pi$
$150$	−7.76324	−	3.83824i	−0.633866	−	0.313391i
$151$	12.4673			1.01457			0.507287	−	0.861777i	$-0.330649\pi$
$151$	12.4673			1.01457			0.507287	+	0.861777i	$0.330649\pi$
$152$	−2.72320	+	3.40355i	−0.220881	+	0.276064i
$153$	−10.1395	+	2.34919i	−0.819732	+	0.189921i
$154$	3.49377	−	4.16371i	0.281536	−	0.335521i
$155$	−3.50104	+	19.5258i	−0.281210	+	1.56835i
$156$	−0.584670	+	5.58362i	−0.0468110	+	0.447048i
$157$	12.8685	+	18.3782i	1.02702	+	1.46674i	0.878449	+	0.477837i	$0.158579\pi$
$157$	12.8685	+	18.3782i	1.02702	+	1.46674i	0.148573	+	0.988901i	$0.452532\pi$
$158$	13.2518	−	6.17941i	1.05426	−	0.491608i
$159$	4.29810	+	17.2103i	0.340861	+	1.36486i
$160$	0.584966	−	2.15820i	0.0462456	−	0.170620i
$161$	9.10622	+	10.8524i	0.717670	+	0.855286i
$162$	3.23836	+	8.39720i	0.254430	+	0.659747i
$163$	5.66624	−	1.51826i	0.443814	−	0.118920i	−0.0299895	−	0.999550i	$-0.509547\pi$
$163$	5.66624	−	1.51826i	0.443814	−	0.118920i	0.473803	+	0.880631i	$0.342881\pi$
$164$	−1.88091	−	3.25783i	−0.146874	−	0.254394i
$165$	−2.08746	+	5.39771i	−0.162509	+	0.420211i
$166$	−2.22002	+	12.5904i	−0.172307	+	0.977203i
$167$	9.79103	−	13.9830i	0.757653	−	1.08204i	−0.236240	−	0.971695i	$-0.575915\pi$
$167$	9.79103	−	13.9830i	0.757653	−	1.08204i	0.993893	−	0.110346i	$-0.0351959\pi$
$168$	−4.13148	+	4.75646i	−0.318751	+	0.366969i
$169$	1.60297	−	1.91034i	0.123305	−	0.146950i
$170$	6.70718	+	3.89824i	0.514417	+	0.298981i
$171$	−9.34598	+	9.14618i	−0.714705	+	0.699426i
$172$	2.55453	−	2.55453i	0.194781	−	0.194781i
$173$	11.0016	−	0.962515i	0.836436	−	0.0731787i	0.339115	−	0.940745i	$-0.389873\pi$
$173$	11.0016	−	0.962515i	0.836436	−	0.0731787i	0.497321	+	0.867566i	$0.334317\pi$
$174$	−0.567324	−	8.06808i	−0.0430087	−	0.611640i
$175$	1.68964	−	18.1086i	0.127725	−	1.36888i
$176$	−1.47157	−	0.259478i	−0.110924	−	0.0195589i
$177$	−2.53676	−	15.9763i	−0.190675	−	1.20085i
$178$	−2.67118	+	9.96900i	−0.200214	+	0.747208i
$179$	−1.95063	+	3.37858i	−0.145797	+	0.252527i	−0.929670	−	0.368394i	$-0.879908\pi$
$179$	−1.95063	+	3.37858i	−0.145797	+	0.252527i	0.783873	+	0.620921i	$0.213241\pi$
$180$	2.52604	−	6.21443i	0.188280	−	0.463196i
$181$	7.17674	−	6.02200i	0.533443	−	0.447612i	−0.335845	−	0.941917i	$-0.609022\pi$
$181$	7.17674	−	6.02200i	0.533443	−	0.447612i	0.869288	+	0.494305i	$0.164577\pi$
$182$	−11.3884	+	3.05152i	−0.844167	+	0.226194i
$183$	−0.0218742	+	0.0364368i	−0.00161699	+	0.00269349i
$184$	1.33206	−	3.65982i	0.0982011	−	0.269805i
$185$	16.2423	−	1.37381i	1.19416	−	0.101005i
$186$	−15.2823	−	1.60023i	−1.12055	−	0.117334i
$187$	2.19093	−	4.69846i	0.160217	−	0.343585i
$188$	−5.46752	+	0.478346i	−0.398760	+	0.0348870i
$189$	−14.0312	+	12.6634i	−1.02062	+	0.921128i
$190$	9.74476	−	0.199218i	0.706959	−	0.0144528i
$191$		−	15.4503i		−	1.11794i	−0.829186	−	0.558972i	$-0.811196\pi$
$191$		−	15.4503i		−	1.11794i	0.829186	−	0.558972i	$-0.188804\pi$
$192$	1.70036	+	0.329830i	0.122713	+	0.0238035i
$193$	15.5477	+	7.25000i	1.11915	+	0.521866i	0.892019	−	0.451999i	$-0.149289\pi$
$193$	15.5477	+	7.25000i	1.11915	+	0.521866i	0.227127	+	0.973865i	$0.427067\pi$
$194$	0.273231	+	1.54957i	0.0196168	+	0.111252i
$195$	10.4249	−	6.99389i	0.746544	−	0.500843i
$196$	−5.85525	−	2.13114i	−0.418232	−	0.152224i
$197$	2.85675	−	10.6615i	0.203535	−	0.759602i	−0.786356	−	0.617773i	$-0.788035\pi$
$197$	2.85675	−	10.6615i	0.203535	−	0.759602i	0.989891	−	0.141829i	$-0.0452984\pi$
$198$	−4.28795	−	1.30732i	−0.304732	−	0.0929071i
$199$	−0.455930	−	0.543356i	−0.0323200	−	0.0385175i	0.749642	−	0.661843i	$-0.230226\pi$
$199$	−0.455930	−	0.543356i	−0.0323200	−	0.0385175i	−0.781962	+	0.623326i	$0.785781\pi$
$200$	−4.54366	+	2.08691i	−0.321285	+	0.147567i
$201$	1.37489	−	1.32875i	0.0969774	−	0.0937228i
$202$	−6.04167	−	1.61886i	−0.425090	−	0.113903i
$203$	15.3941	−	7.17837i	1.08045	−	0.503823i
$204$	−2.63213	+	5.40198i	−0.184286	+	0.378215i
$205$	−2.89976	+	7.89606i	−0.202528	+	0.551485i
$206$	6.00906	+	16.5098i	0.418671	+	1.15029i
$207$	5.29638	−	10.4147i	0.368124	−	0.723873i
$208$	2.29197	+	2.29197i	0.158919	+	0.158919i
$209$	−0.718862	−	6.47359i	−0.0497247	−	0.447788i
$210$	14.0850	+	0.281032i	0.971955	+	0.0193931i
$211$	2.45548	+	2.06040i	0.169042	+	0.141843i	0.723384	−	0.690446i	$-0.242586\pi$
$211$	2.45548	+	2.06040i	0.169042	+	0.141843i	−0.554342	+	0.832289i	$0.687030\pi$
$212$	9.28198	+	4.32826i	0.637489	+	0.297266i
$213$	6.63762	+	8.19027i	0.454802	+	0.561188i
$214$	18.0773	+	3.18751i	1.23574	+	0.217894i
$215$	−8.04532	−	0.727270i	−0.548686	−	0.0495994i
$216$	4.94370	+	1.59994i	0.336376	+	0.108862i
$217$	−8.35195	−	31.1699i	−0.566967	−	2.11595i
$218$	−0.117401	+	1.34190i	−0.00795142	+	0.0908851i
$219$	−5.14477	−	11.5433i	−0.347652	−	0.780023i
$220$	1.66229	+	2.89845i	0.112072	+	0.195414i
$221$	−9.73877	+	5.62268i	−0.655101	+	0.378223i
$222$	1.98002	+	12.4700i	0.132890	+	0.836930i
$223$	−11.9161	+	8.34373i	−0.797959	+	0.558737i	−0.899922	−	0.436051i	$-0.856377\pi$
$223$	−11.9161	+	8.34373i	−0.797959	+	0.558737i	0.101963	+	0.994788i	$0.467488\pi$
$224$	0.631636	+	3.58219i	0.0422030	+	0.239345i
$225$	−14.2888	+	4.56396i	−0.952588	+	0.304264i
$226$	9.18745	+	7.70919i	0.611140	+	0.512808i
$227$	−0.603767	−	0.603767i	−0.0400734	−	0.0400734i	0.686786	−	0.726860i	$-0.259021\pi$
$227$	−0.603767	−	0.603767i	−0.0400734	−	0.0400734i	−0.726860	+	0.686786i	$0.759021\pi$
$228$	0.705087	+	7.51684i	0.0466955	+	0.497815i
$229$		−	18.9512i		−	1.25233i	−0.779689	−	0.626167i	$-0.784623\pi$
$229$		−	18.9512i		−	1.25233i	0.779689	−	0.626167i	$-0.215377\pi$
$230$	−8.19216	+	2.95496i	−0.540175	+	0.194845i
$231$	−0.660354	−	9.39109i	−0.0434481	−	0.617888i
$232$	−3.82512	−	2.67838i	−0.251132	−	0.175844i
$233$	−7.48734	−	10.6930i	−0.490512	−	0.700524i	0.495235	−	0.868759i	$-0.335082\pi$
$233$	−7.48734	−	10.6930i	−0.490512	−	0.700524i	−0.985747	+	0.168235i	$0.946193\pi$
$234$	5.99264	+	7.65796i	0.391751	+	0.500616i
$235$	8.65286	+	8.70294i	0.564451	+	0.567717i
$236$	−8.08823	−	4.66974i	−0.526499	−	0.303974i
$237$	9.06670	−	23.6470i	0.588945	−	1.53604i
$238$	−12.5716	−	1.09987i	−0.814897	−	0.0712942i
$239$	5.56236	−	9.63428i	0.359799	−	0.623190i	−0.628128	−	0.778110i	$-0.716179\pi$
$239$	5.56236	−	9.63428i	0.359799	−	0.623190i	0.987927	+	0.154920i	$0.0495120\pi$
$240$	−1.86920	−	3.39206i	−0.120656	−	0.218957i
$241$	−18.5334	−	6.74561i	−1.19384	−	0.434523i	−0.332771	−	0.943008i	$-0.607984\pi$
$241$	−18.5334	−	6.74561i	−1.19384	−	0.434523i	−0.861071	+	0.508484i	$0.830206\pi$
$242$	−7.18163	+	5.02863i	−0.461653	+	0.323253i
$243$	14.1407	+	6.56052i	0.907127	+	0.420857i
$244$	0.00839199	+	0.0230568i	0.000537242	+	0.00147606i
$245$	4.72757	+	13.1064i	0.302033	+	0.837339i
$246$	−6.26395	−	1.79353i	−0.399375	−	0.114351i
$247$	−6.77701	+	12.3972i	−0.431211	+	0.788814i
$248$	−6.27306	+	6.27306i	−0.398340	+	0.398340i
$249$	12.3897	+	18.3531i	0.785163	+	1.16308i
$250$	10.0916	+	4.81254i	0.638246	+	0.304372i
$251$	−7.86219	+	1.38632i	−0.496257	+	0.0875035i	−0.416175	−	0.909285i	$-0.636630\pi$
$251$	−7.86219	+	1.38632i	−0.496257	+	0.0875035i	−0.0800826	+	0.996788i	$0.525518\pi$
$252$	0.579573	+	10.8969i	0.0365096	+	0.686443i
$253$	2.45953	+	5.27447i	0.154629	+	0.331603i
$254$	2.95955	+	5.12609i	0.185699	+	0.321640i
$255$	13.0457	−	3.21809i	0.816956	−	0.201525i
$256$	0.766044	−	0.642788i	0.0478778	−	0.0401742i
$257$	−25.6562	−	2.24463i	−1.60039	−	0.140016i	−0.748281	−	0.663382i	$-0.769121\pi$
$257$	−25.6562	−	2.24463i	−1.60039	−	0.140016i	−0.852108	+	0.523366i	$0.824676\pi$
$258$	0.106775	−	6.25638i	0.00664751	−	0.389505i
$259$	−22.9636	+	13.2580i	−1.42689	+	0.823813i
$260$	0.652519	−	7.21840i	0.0404675	−	0.447666i
$261$	−10.4179	−	9.36565i	−0.644850	−	0.579719i
$262$	6.81055	+	4.76880i	0.420757	+	0.294617i
$263$	11.2736	−	24.1763i	0.695161	−	1.49078i	−0.167967	−	0.985793i	$-0.553720\pi$
$263$	11.2736	−	24.1763i	0.695161	−	1.49078i	0.863128	−	0.504985i	$-0.168502\pi$
$264$	−2.14512	+	1.44811i	−0.132023	+	0.0891251i
$265$	−5.86331	−	22.1374i	−0.360180	−	1.35989i
$266$	−14.2096	+	7.03406i	−0.871244	+	0.431286i
$267$	8.67249	+	15.6313i	0.530748	+	0.956618i
$268$	−0.0962128	−	1.09972i	−0.00587713	−	0.0671759i
$269$	29.8393	−	10.8606i	1.81933	−	0.662183i	0.823899	−	0.566737i	$-0.191794\pi$
$269$	29.8393	−	10.8606i	1.81933	−	0.662183i	0.995435	−	0.0954466i	$-0.0304279\pi$
$270$	−4.33400	−	10.7804i	−0.263759	−	0.656073i
$271$	0.100583	−	0.570433i	0.00610996	−	0.0346513i	−0.981600	−	0.190947i	$-0.938844\pi$
$271$	0.100583	−	0.570433i	0.00610996	−	0.0346513i	0.987710	+	0.156296i	$0.0499553\pi$
$272$	1.46622	+	3.14431i	0.0889025	+	0.190652i
$273$	−10.5109	+	17.5084i	−0.636148	+	1.05966i
$274$	−15.3013	−	8.83423i	−0.924387	−	0.533695i
$275$	2.59582	−	7.00592i	0.156534	−	0.422473i
$276$	−2.74616	−	6.16154i	−0.165300	−	0.370881i
$277$	8.35751	+	31.1907i	0.502154	+	1.87407i	0.485561	+	0.874203i	$0.338615\pi$
$277$	8.35751	+	31.1907i	0.502154	+	1.87407i	0.0165936	+	0.999862i	$0.494718\pi$
$278$	1.90592	+	0.510690i	0.114310	+	0.0306292i
$279$	−20.9597	+	16.4017i	−1.25482	+	0.981945i
$280$	5.24612	−	6.21557i	0.313516	−	0.371452i
$281$	−2.01999	+	0.356179i	−0.120503	+	0.0212479i	−0.233574	−	0.972339i	$-0.575042\pi$
$281$	−2.01999	+	0.356179i	−0.120503	+	0.0212479i	0.113072	+	0.993587i	$0.463931\pi$
$282$	−6.23384	+	7.17685i	−0.371220	+	0.427375i
$283$	0.362247	+	4.14050i	0.0215334	+	0.246127i	0.999331	+	0.0365756i	$0.0116450\pi$
$283$	0.362247	+	4.14050i	0.0215334	+	0.246127i	−0.977798	+	0.209552i	$0.932799\pi$
$284$	6.08656			0.361171
$285$	11.8970	−	11.9776i	0.704716	−	0.709490i
$286$	−4.84343			−0.286398
$287$	−1.19259	−	13.6314i	−0.0703963	−	0.804633i
$288$	2.51474	−	1.63587i	0.148183	−	0.0963946i
$289$	4.88809	−	0.861902i	0.287535	−	0.0507001i
$290$	0.880029	+	10.4044i	0.0516771	+	0.610969i
$291$	2.20546	+	1.60105i	0.129287	+	0.0938555i
$292$	−7.04786	−	1.88847i	−0.412445	−	0.110514i
$293$	6.33646	+	23.6480i	0.370180	+	1.38153i	0.860261	+	0.509853i	$0.170300\pi$
$293$	6.33646	+	23.6480i	0.370180	+	1.38153i	−0.490081	+	0.871677i	$0.663033\pi$
$294$	−9.85769	+	4.39351i	−0.574912	+	0.256235i
$295$	3.56707	+	20.5768i	0.207683	+	1.19803i
$296$	6.31310	+	3.64487i	0.366941	+	0.211854i
$297$	−6.91408	+	3.53305i	−0.401195	+	0.205008i
$298$	1.16737	+	2.50343i	0.0676238	+	0.145020i
$299$	2.19213	−	12.4322i	0.126774	−	0.718973i
$300$	−3.14702	+	8.06822i	−0.181694	+	0.465819i
$301$	12.3483	−	4.49442i	0.711746	−	0.259054i
$302$	−1.08660	−	12.4198i	−0.0625266	−	0.714682i
$303$	−9.47326	+	5.25592i	−0.544224	+	0.301945i
$304$	3.62794	+	2.41620i	0.208077	+	0.138579i
$305$	0.0275696	−	0.0474354i	0.00157863	−	0.00271615i
$306$	3.22397	+	9.89619i	0.184302	+	0.565728i
$307$	11.8162	−	25.3399i	0.674386	−	1.44623i	−0.209160	−	0.977881i	$-0.567073\pi$
$307$	11.8162	−	25.3399i	0.674386	−	1.44623i	0.883546	−	0.468344i	$-0.155149\pi$
$308$	−4.45237	−	3.11758i	−0.253697	−	0.177641i
$309$	27.3564	+	13.3294i	1.55625	+	0.758285i
$310$	19.7566	+	1.78593i	1.12210	+	0.101434i
$311$	29.6444	−	17.1152i	1.68098	−	0.970513i	0.719964	−	0.694012i	$-0.244158\pi$
$311$	29.6444	−	17.1152i	1.68098	−	0.970513i	0.961014	−	0.276501i	$-0.0891749\pi$
$312$	5.61333	+	0.0958003i	0.317792	+	0.00542362i
$313$	1.10775	+	0.0969157i	0.0626138	+	0.00547800i	0.118420	−	0.992964i	$-0.462217\pi$
$313$	1.10775	+	0.0969157i	0.0626138	+	0.00547800i	−0.0558058	+	0.998442i	$0.517773\pi$
$314$	17.1867	−	14.4213i	0.969900	−	0.813843i
$315$	17.8806	−	16.6036i	1.00746	−	0.935507i
$316$	−7.31087	−	12.6628i	−0.411269	−	0.712338i
$317$	14.3403	+	30.7528i	0.805430	+	1.72725i	0.677571	+	0.735457i	$0.263032\pi$
$317$	14.3403	+	30.7528i	0.805430	+	1.72725i	0.127858	+	0.991792i	$0.459190\pi$
$318$	16.7702	−	5.78172i	0.940424	−	0.324223i
$319$	6.87166	−	1.21166i	0.384739	−	0.0678399i
$320$	−2.20097	−	0.394641i	−0.123038	−	0.0220611i
$321$	26.3513	−	17.7891i	1.47079	−	0.992891i
$322$	10.0174	−	10.0174i	0.558248	−	0.558248i
$323$	−11.3547	+	9.98818i	−0.631794	+	0.555757i
$324$	8.08301	−	3.95790i	0.449056	−	0.219883i
$325$	−13.3291	+	9.21900i	−0.739367	+	0.511378i
$326$	−2.00633	−	5.51235i	−0.111120	−	0.305301i
$327$	1.46899	+	1.81261i	0.0812351	+	0.100237i
$328$	−3.08150	+	2.15769i	−0.170147	+	0.119139i
$329$	−18.7598	−	6.82802i	−1.03426	−	0.376441i
$330$	5.55910	+	1.60908i	0.306018	+	0.0885768i
$331$	4.10578	−	7.11143i	0.225674	−	0.390879i	−0.730847	−	0.682541i	$-0.760875\pi$
$331$	4.10578	−	7.11143i	0.225674	−	0.390879i	0.956522	+	0.291662i	$0.0942082\pi$
$332$	12.7360	+	1.11425i	0.698976	+	0.0611525i
$333$	17.4757	+	13.1476i	0.957665	+	0.720487i
$334$	−14.7832	−	8.53507i	−0.808900	−	0.467018i
$335$	−1.75048	+	1.74040i	−0.0956387	+	0.0950884i
$336$	5.09844	+	3.70121i	0.278143	+	0.201918i
$337$	5.75243	+	8.21532i	0.313355	+	0.447517i	0.944676	−	0.328004i	$-0.106376\pi$
$337$	5.75243	+	8.21532i	0.313355	+	0.447517i	−0.631322	+	0.775521i	$0.717487\pi$
$338$	−2.04278	−	1.43037i	−0.111113	−	0.0778020i
$339$	20.7220	−	1.45711i	1.12546	−	0.0791392i
$340$	3.29883	−	7.02141i	0.178904	−	0.380790i
$341$		−	13.2564i		−	0.717872i
$342$	9.92593	+	8.51327i	0.536733	+	0.460345i
$343$	1.97785	+	1.97785i	0.106794	+	0.106794i
$344$	−2.76745	−	2.32217i	−0.149211	−	0.125203i
$345$	−6.64626	+	13.5409i	−0.357823	+	0.729020i
$346$	−1.91771	−	10.8758i	−0.103096	−	0.584689i
$347$	−6.27006	+	4.39035i	−0.336595	+	0.235686i	−0.729638	−	0.683834i	$-0.760311\pi$
$347$	−6.27006	+	4.39035i	−0.336595	+	0.235686i	0.393043	+	0.919520i	$0.371422\pi$
$348$	−7.98794	+	1.26835i	−0.428198	+	0.0679904i
$349$	−12.9502	+	7.47683i	−0.693211	+	0.400225i	−0.804814	−	0.593528i	$-0.797735\pi$
$349$	−12.9502	+	7.47683i	−0.693211	+	0.400225i	0.111603	+	0.993753i	$0.464401\pi$
$350$	−18.1869	−	0.104943i	−0.972133	−	0.00560945i
$351$	16.6813	+	2.32458i	0.890380	+	0.124077i
$352$	−0.130234	+	1.48859i	−0.00694152	+	0.0793419i
$353$	−4.19379	−	15.6514i	−0.223213	−	0.833042i	−0.983113	−	0.183002i	$-0.941419\pi$
$353$	−4.19379	−	15.6514i	−0.223213	−	0.833042i	0.759900	−	0.650040i	$-0.225248\pi$
$354$	−15.6944	+	3.91954i	−0.834150	+	0.208321i
$355$	−8.71819	−	10.4510i	−0.462714	−	0.554683i
$356$	10.1639	+	1.79216i	0.538684	+	0.0949845i
$357$	−16.9814	+	13.7622i	−0.898751	+	0.728372i
$358$	3.53574	+	1.64874i	0.186869	+	0.0871387i
$359$	−3.20464	−	2.68902i	−0.169135	−	0.141921i	0.554291	−	0.832323i	$-0.312989\pi$
$359$	−3.20464	−	2.68902i	−0.169135	−	0.141921i	−0.723426	+	0.690402i	$0.757434\pi$
$360$	−6.41094	−	1.97481i	−0.337886	−	0.104082i
$361$	−5.65869	+	18.1378i	−0.297826	+	0.954620i
$362$	−6.62458	−	6.62458i	−0.348180	−	0.348180i
$363$	−2.89167	+	14.9073i	−0.151774	+	0.782429i
$364$	4.03248	+	11.0791i	0.211359	+	0.580704i
$365$	6.85251	+	14.8066i	0.358677	+	0.775015i
$366$	0.0382046	+	0.0186153i	0.00199699	+	0.000973037i
$367$	25.3501	−	11.8210i	1.32327	−	0.617049i	0.372810	−	0.927908i	$-0.378394\pi$
$367$	25.3501	−	11.8210i	1.32327	−	0.617049i	0.950456	+	0.310858i	$0.100616\pi$
$368$	−3.76199	−	1.00802i	−0.196107	−	0.0525468i
$369$	−9.96035	+	5.30594i	−0.518515	+	0.276216i
$370$	−2.78420	−	16.0608i	−0.144744	−	0.834962i
$371$	23.9458	+	28.5375i	1.24320	+	1.48159i
$372$	−0.262203	+	15.3636i	−0.0135946	+	0.796564i
$373$	3.61782	−	13.5019i	0.187324	−	0.699101i	−0.806798	−	0.590828i	$-0.798801\pi$
$373$	3.61782	−	13.5019i	0.187324	−	0.699101i	0.994121	−	0.108273i	$-0.0345321\pi$
$374$	−4.87153	−	1.77309i	−0.251901	−	0.0916845i
$375$	18.3614	−	6.15302i	0.948178	−	0.317741i
$376$	0.953052	+	5.40503i	0.0491499	+	0.278743i
$377$	−13.7177	−	6.39665i	−0.706495	−	0.329444i
$378$	13.8381	+	12.8742i	0.711757	+	0.662175i
$379$		−	18.1240i		−	0.930966i	−0.885057	−	0.465483i	$-0.845881\pi$
$379$		−	18.1240i		−	0.930966i	0.885057	−	0.465483i	$-0.154119\pi$
$380$	−1.04777	−	9.69031i	−0.0537495	−	0.497103i
$381$	9.85613	+	2.82206i	0.504945	+	0.144578i
$382$	−15.3915	+	1.34658i	−0.787498	+	0.0688972i
$383$	−14.4178	+	30.9190i	−0.736714	+	1.57989i	0.0759202	+	0.997114i	$0.475811\pi$
$383$	−14.4178	+	30.9190i	−0.736714	+	1.57989i	−0.812634	+	0.582774i	$0.801967\pi$
$384$	0.180380	−	1.72263i	0.00920496	−	0.0879077i
$385$	1.02434	+	12.1105i	0.0522050	+	0.617210i
$386$	5.86734	−	16.1204i	0.298640	−	0.820506i
$387$	−7.39761	−	7.92063i	−0.376042	−	0.402628i
$388$	1.51986	−	0.407245i	0.0771591	−	0.0206747i
$389$	−20.3936	+	17.1123i	−1.03400	+	0.867628i	−0.991321	−	0.131461i	$-0.958033\pi$
$389$	−20.3936	+	17.1123i	−1.03400	+	0.867628i	−0.0426773	+	0.999089i	$0.513589\pi$
$390$	−7.87587	−	9.77569i	−0.398810	−	0.495011i
$391$	6.75607	−	11.7019i	0.341669	−	0.591788i
$392$	−1.61271	+	6.01871i	−0.0814540	+	0.303991i
$393$	14.2223	−	2.25826i	0.717422	−	0.113914i
$394$	−10.8699	−	1.91666i	−0.547620	−	0.0965601i
$395$	−11.2710	+	30.6911i	−0.567106	+	1.54423i
$396$	−0.928623	+	4.38558i	−0.0466651	+	0.220384i
$397$	17.5329	−	1.53393i	0.879952	−	0.0769859i	0.361781	−	0.932263i	$-0.382169\pi$
$397$	17.5329	−	1.53393i	0.879952	−	0.0769859i	0.518171	+	0.855277i	$0.326613\pi$
$398$	−0.501551	+	0.501551i	−0.0251405	+	0.0251405i
$399$	−9.23085	+	25.8643i	−0.462120	+	1.29483i
$400$	2.47497	+	4.34448i	0.123749	+	0.217224i
$401$	7.68434	−	9.15784i	0.383738	−	0.457321i	−0.539253	−	0.842144i	$-0.681293\pi$
$401$	7.68434	−	9.15784i	0.383738	−	0.457321i	0.922990	+	0.384823i	$0.125738\pi$
$402$	−1.44352	−	1.25385i	−0.0719964	−	0.0625364i
$403$	−16.4934	+	23.5550i	−0.821593	+	1.17336i
$404$	−1.08613	+	6.15977i	−0.0540372	+	0.306460i
$405$	−18.3738	−	8.20989i	−0.913003	−	0.407953i
$406$	−8.49273	−	14.7098i	−0.421487	−	0.730038i
$407$	−10.5217	+	2.81928i	−0.521540	+	0.139746i
$408$	5.61083	+	2.15130i	0.277778	+	0.106505i
$409$	3.37102	+	4.01742i	0.166686	+	0.198649i	0.842921	−	0.538037i	$-0.180834\pi$
$409$	3.37102	+	4.01742i	0.166686	+	0.198649i	−0.676235	+	0.736686i	$0.736390\pi$
$410$	8.11875	+	2.20054i	0.400956	+	0.108677i
$411$	−29.6907	+	7.41498i	−1.46454	+	0.365754i
$412$	15.9232	−	7.42512i	0.784481	−	0.365809i
$413$	−19.4855	−	27.8281i	−0.958818	−	1.36933i
$414$	−10.8367	−	4.36852i	−0.532595	−	0.214701i
$415$	−16.3293	−	23.4645i	−0.801576	−	1.15183i
$416$	2.08349	−	2.48300i	0.102151	−	0.121739i
$417$	2.98846	−	1.65805i	0.146346	−	0.0811950i
$418$	−6.38630	+	1.28034i	−0.312364	+	0.0626233i
$419$	−11.0863			−0.541602			−0.270801	−	0.962635i	$-0.587289\pi$
$419$	−11.0863			−0.541602			−0.270801	+	0.962635i	$0.587289\pi$
$420$	−0.947623	−	14.0559i	−0.0462393	−	0.685856i
$421$	−7.25631	+	2.64108i	−0.353651	+	0.128718i	−0.512736	−	0.858547i	$-0.671368\pi$
$421$	−7.25631	+	2.64108i	−0.353651	+	0.128718i	0.159085	+	0.987265i	$0.449146\pi$
$422$	1.83855	−	2.62572i	0.0894990	−	0.127818i
$423$	0.874496	+	16.4420i	0.0425194	+	0.799437i
$424$	3.50281	−	9.62389i	0.170111	−	0.467377i
$425$	−16.7814	+	4.39293i	−0.814017	+	0.213089i
$426$	7.58060	−	7.32619i	0.367281	−	0.354955i
$427$	−0.00777868	+	0.0889107i	−0.000376437	+	0.00430269i
$428$	1.59984	−	18.2863i	0.0773314	−	0.883902i
$429$	−6.03232	+	5.82988i	−0.291243	+	0.281469i
$430$	−0.0233061	+	8.07809i	−0.00112392	+	0.389560i
$431$	1.66515	−	4.57496i	0.0802075	−	0.220368i	−0.893107	−	0.449845i	$-0.851479\pi$
$431$	1.66515	−	4.57496i	0.0802075	−	0.220368i	0.973314	+	0.229477i	$0.0737015\pi$
$432$	1.16298	−	5.06433i	0.0559539	−	0.243658i
$433$	−7.41058	+	10.5834i	−0.356130	+	0.508606i	−0.956743	−	0.290933i	$-0.906034\pi$
$433$	−7.41058	+	10.5834i	−0.356130	+	0.508606i	0.600613	+	0.799540i	$0.294923\pi$
$434$	−30.3234	+	11.0368i	−1.45557	+	0.529783i
$435$	13.6195	+	11.8991i	0.653005	+	0.570517i
$436$	1.34703			0.0645110
$437$	−0.395957	−	16.9720i	−0.0189412	−	0.811880i
$438$	−11.0510	+	6.13126i	−0.528035	+	0.292963i
$439$	25.4106	−	30.2831i	1.21278	−	1.44533i	0.352272	−	0.935898i	$-0.385409\pi$
$439$	25.4106	−	30.2831i	1.21278	−	1.44533i	0.860508	−	0.509437i	$-0.170146\pi$
$440$	2.74255	−	1.90858i	0.130746	−	0.0909881i
$441$	−6.98908	+	17.3374i	−0.332814	+	0.825588i
$442$	6.45008	+	9.21166i	0.306799	+	0.438154i
$443$	0.435266	−	0.202968i	0.0206801	−	0.00964328i	−0.412251	−	0.911070i	$-0.635257\pi$
$443$	0.435266	−	0.202968i	0.0206801	−	0.00964328i	0.432931	+	0.901427i	$0.357479\pi$
$444$	12.2500	−	3.05931i	0.581357	−	0.145188i
$445$	−11.4811	−	20.0191i	−0.544258	−	0.948996i
$446$	9.35053	+	11.1435i	0.442760	+	0.527661i
$447$	4.46721	+	1.71281i	0.211292	+	0.0810132i
$448$	3.51350	−	0.941441i	0.165997	−	0.0444789i
$449$	3.62660	+	6.28146i	0.171150	+	0.296440i	0.938822	−	0.344402i	$-0.111918\pi$
$449$	3.62660	+	6.28146i	0.171150	+	0.296440i	−0.767672	+	0.640843i	$0.778585\pi$
$450$	5.79195	+	13.8367i	0.273035	+	0.652267i
$451$	0.976108	−	5.53578i	0.0459631	−	0.260670i
$452$	6.87911	−	9.82439i	0.323566	−	0.462100i
$453$	−16.3027	−	14.1606i	−0.765967	−	0.665323i
$454$	−0.548848	+	0.654091i	−0.0257587	+	0.0306980i
$455$	13.2476	−	22.7934i	0.621058	−	1.06857i
$456$	7.42678	−	1.35754i	0.347791	−	0.0635726i
$457$	−14.5973	+	14.5973i	−0.682833	+	0.682833i	−0.960638	−	0.277805i	$-0.910393\pi$
$457$	−14.5973	+	14.5973i	−0.682833	+	0.682833i	0.277805	+	0.960638i	$0.410393\pi$
$458$	−18.8791	+	1.65171i	−0.882164	+	0.0771793i
$459$	15.9271	+	8.44478i	0.743412	+	0.394169i
$460$	3.65771	+	7.90345i	0.170542	+	0.368500i
$461$	9.58175	+	1.68952i	0.446266	+	0.0786888i	0.392265	−	0.919852i	$-0.371691\pi$
$461$	9.58175	+	1.68952i	0.446266	+	0.0786888i	0.0540010	+	0.998541i	$0.482803\pi$
$462$	−9.29780	+	1.47633i	−0.432573	+	0.0686850i
$463$	2.58882	−	9.66161i	0.120313	−	0.449013i	−0.879317	−	0.476238i	$-0.842000\pi$
$463$	2.58882	−	9.66161i	0.120313	−	0.449013i	0.999629	+	0.0272246i	$0.00866692\pi$
$464$	−2.33481	+	4.04400i	−0.108391	+	0.187738i
$465$	26.7558	−	21.5561i	1.24077	−	0.999639i
$466$	−9.99978	+	8.39081i	−0.463231	+	0.388697i
$467$	−36.6306	+	9.81513i	−1.69506	+	0.454190i	−0.971688	−	0.236268i	$-0.924076\pi$
$467$	−36.6306	+	9.81513i	−1.69506	+	0.454190i	−0.723372	+	0.690458i	$0.757409\pi$
$468$	7.10652	−	6.63727i	0.328499	−	0.306808i
$469$	1.37336	−	3.77328i	0.0634160	−	0.174234i
$470$	7.91567	−	9.37845i	0.365123	−	0.432596i
$471$	4.04693	−	38.6483i	0.186473	−	1.78082i
$472$	−3.94704	+	8.46445i	−0.181677	+	0.389608i
$473$	5.37774	−	0.470491i	0.247269	−	0.0216332i
$474$	−24.3472	−	6.97122i	−1.11831	−	0.320199i
$475$	−15.1381	+	15.6792i	−0.694585	+	0.719411i
$476$			12.6196i			0.578420i
$477$	13.9274	−	27.3866i	0.637692	−	1.25395i
$478$	−10.0824	−	4.70151i	−0.461159	−	0.215042i
$479$	4.64278	+	26.3305i	0.212134	+	1.20307i	0.885811	+	0.464046i	$0.153603\pi$
$479$	4.64278	+	26.3305i	0.212134	+	1.20307i	−0.673677	+	0.739026i	$0.735286\pi$
$480$	−3.21625	+	2.15772i	−0.146801	+	0.0984861i
$481$	22.2035	+	8.08140i	1.01239	+	0.368480i
$482$	−5.10465	+	19.0508i	−0.232510	+	0.867741i
$483$	0.418710	−	24.5340i	0.0190520	−	1.11633i
$484$	5.63542	+	6.71603i	0.256155	+	0.305274i
$485$	−2.87626	−	2.02637i	−0.130604	−	0.0920129i
$486$	5.30311	−	14.6587i	0.240554	−	0.664931i
$487$	−28.4601	−	7.62586i	−1.28965	−	0.345561i	−0.452123	−	0.891956i	$-0.649333\pi$
$487$	−28.4601	−	7.62586i	−1.28965	−	0.345561i	−0.837528	+	0.546395i	$0.816000\pi$
$488$	0.0222376	−	0.0103696i	0.00100665	−	0.000469409i
$489$	−9.13385	−	4.45049i	−0.413047	−	0.201258i
$490$	12.6445	−	5.85188i	0.571221	−	0.264361i
$491$	3.37900	+	9.28372i	0.152492	+	0.418969i	0.992291	−	0.123929i	$-0.0395494\pi$
$491$	3.37900	+	9.28372i	0.152492	+	0.418969i	−0.839799	+	0.542897i	$0.817327\pi$
$492$	−1.24076	+	6.39643i	−0.0559379	+	0.288373i
$493$	−11.4556	−	11.4556i	−0.515932	−	0.515932i
$494$	12.9407	+	5.67074i	0.582228	+	0.255138i
$495$	8.86046	−	4.68726i	0.398248	−	0.210677i
$496$	6.79593	+	5.70246i	0.305146	+	0.256048i
$497$	20.0652	+	9.35657i	0.900048	+	0.419699i
$498$	17.2034	−	13.9421i	0.770902	−	0.624760i
$499$	27.5388	+	4.85583i	1.23281	+	0.217377i	0.751830	−	0.659357i	$-0.229171\pi$
$499$	27.5388	+	4.85583i	1.23281	+	0.217377i	0.480976	+	0.876734i	$0.340283\pi$
$500$	3.91469	−	10.4726i	0.175070	−	0.468349i
$501$	−28.6853	+	7.16389i	−1.28157	+	0.320059i
$502$	2.06628	+	7.71145i	0.0922224	+	0.344179i
$503$	0.974289	−	11.1362i	0.0434414	−	0.496537i	−0.943042	−	0.332675i	$-0.892049\pi$
$503$	0.974289	−	11.1362i	0.0434414	−	0.496537i	0.986483	−	0.163863i	$-0.0523955\pi$
$504$	10.8050	−	1.52710i	0.481291	−	0.0680224i
$505$	12.1325	−	6.95810i	0.539888	−	0.309631i
$506$	5.04004	−	2.90987i	0.224057	−	0.129359i
$507$	−4.26591	+	0.677352i	−0.189456	+	0.0300822i
$508$	4.84865	−	3.39506i	0.215124	−	0.150631i
$509$	−2.57318	−	14.5933i	−0.114054	−	0.646835i	−0.987214	−	0.159400i	$-0.949044\pi$
$509$	−2.57318	−	14.5933i	−0.114054	−	0.646835i	0.873160	−	0.487434i	$-0.162067\pi$
$510$	−4.34286	−	12.7156i	−0.192305	−	0.563057i
$511$	−20.3313	−	17.0600i	−0.899402	−	0.754688i
$512$	−0.707107	−	0.707107i	−0.0312500	−	0.0312500i
$513$	22.6096	−	1.34453i	0.998236	−	0.0593626i
$514$			25.7542i			1.13597i
$515$	−35.5574	−	16.7057i	−1.56684	−	0.736142i
$516$	−6.24188	+	0.438911i	−0.274783	+	0.0193220i
$517$	−6.71801	−	4.70400i	−0.295458	−	0.206882i
$518$	15.2090	+	21.7207i	0.668244	+	0.954351i
$519$	−15.4793	−	11.2372i	−0.679467	−	0.493259i
$520$	−7.24781	−	0.0209107i	−0.317837	−	0.000916993i
$521$	21.2065	+	12.2436i	0.929076	+	0.536402i	0.886519	−	0.462692i	$-0.153116\pi$
$521$	21.2065	+	12.2436i	0.929076	+	0.536402i	0.0425565	+	0.999094i	$0.486450\pi$
$522$	−8.42204	+	11.1945i	−0.368622	+	0.489970i
$523$	5.97160	+	0.522447i	0.261120	+	0.0228450i	0.216964	−	0.976180i	$-0.430385\pi$
$523$	5.97160	+	0.522447i	0.261120	+	0.0228450i	0.0441558	+	0.999025i	$0.485940\pi$
$524$	4.15707	−	7.20026i	0.181602	−	0.314545i
$525$	−22.7775	+	21.7603i	−0.994092	+	0.949698i
$526$	−25.0669	−	9.12361i	−1.09297	−	0.397808i
$527$	−25.2121	+	17.6537i	−1.09826	+	0.769008i
$528$	1.62956	+	2.01074i	0.0709175	+	0.0875063i
$529$	−2.67847	−	7.35905i	−0.116455	−	0.319959i
$530$	−21.5422	+	7.77040i	−0.935732	+	0.337525i
$531$	−14.8291	+	23.7725i	−0.643526	+	1.03164i
$532$	8.24574	+	13.5424i	0.357498	+	0.587139i
$533$	−8.62196	+	8.62196i	−0.373459	+	0.373459i
$534$	14.8159	−	10.0018i	0.641148	−	0.432822i
$535$	−33.6904	+	23.4457i	−1.45656	+	1.01365i
$536$	−1.08715	+	0.191693i	−0.0469576	+	0.00827989i
$537$	6.38817	−	2.20240i	0.275670	−	0.0950406i
$538$	−13.4200	−	28.7792i	−0.578575	−	1.24076i
$539$	−4.65542	−	8.06343i	−0.200523	−	0.347316i
$540$	−10.3616	+	5.25708i	−0.445893	+	0.226229i
$541$	6.19727	−	5.20013i	0.266442	−	0.223571i	−0.499772	−	0.866157i	$-0.666583\pi$
$541$	6.19727	−	5.20013i	0.266442	−	0.223571i	0.766214	+	0.642586i	$0.222138\pi$
$542$	−0.577028	−	0.0504834i	−0.0247855	−	0.00216845i
$543$	−16.2245	−	0.276896i	−0.696259	−	0.0118827i
$544$	3.00456	−	1.73468i	0.128819	−	0.0743739i
$545$	−1.92944	−	2.31294i	−0.0826482	−	0.0990754i
$546$	18.3579	+	8.94492i	0.785646	+	0.382807i
$547$	18.4846	+	12.9431i	0.790346	+	0.553406i	0.897592	−	0.440826i	$-0.145314\pi$
$547$	18.4846	+	12.9431i	0.790346	+	0.553406i	−0.107246	+	0.994232i	$0.534203\pi$
$548$	−7.46701	+	16.0131i	−0.318975	+	0.684044i
$549$	0.0699892	−	0.0228010i	0.00298707	−	0.000973122i
$550$	−7.20550	−	1.97534i	−0.307244	−	0.0842288i
$551$	−19.7783	−	4.80810i	−0.842585	−	0.204832i
$552$	−5.89875	+	3.27273i	−0.251068	+	0.139296i
$553$	−4.63545	−	52.9834i	−0.197119	−	2.25308i
$554$	30.3436	−	11.0442i	1.28917	−	0.469221i
$555$	−22.7995	−	16.6519i	−0.967785	−	0.706835i
$556$	0.342635	−	1.94318i	0.0145310	−	0.0824091i
$557$	3.04569	+	6.53151i	0.129050	+	0.276749i	0.960207	−	0.279289i	$-0.0900987\pi$
$557$	3.04569	+	6.53151i	0.129050	+	0.276749i	−0.831157	+	0.556038i	$0.812321\pi$
$558$	18.1661	+	19.4504i	0.769031	+	0.823401i
$559$	−10.1410	−	5.85489i	−0.428917	−	0.247636i
$560$	−6.64915	−	4.68443i	−0.280978	−	0.197953i
$561$	−8.20154	+	3.65538i	−0.346269	+	0.154330i
$562$	0.530878	+	1.98126i	0.0223937	+	0.0835746i
$563$	27.4965	+	7.36766i	1.15884	+	0.310510i	0.786502	−	0.617588i	$-0.211890\pi$
$563$	27.4965	+	7.36766i	1.15884	+	0.310510i	0.372337	+	0.928098i	$0.378557\pi$
$564$	7.69285	+	5.58462i	0.323927	+	0.235155i
$565$	−26.7226	+	2.26025i	−1.12423	+	0.0950896i
$566$	4.09318	−	0.721738i	0.172049	−	0.0303369i
$567$	32.7311	−	0.622190i	1.37458	−	0.0261295i
$568$	−0.530478	−	6.06339i	−0.0222584	−	0.254414i
$569$	26.5691			1.11383			0.556916	−	0.830568i	$-0.311984\pi$
$569$	26.5691			1.11383			0.556916	+	0.830568i	$0.311984\pi$
$570$	−12.9689	−	10.8078i	−0.543207	−	0.452688i
$571$	−25.0210			−1.04710			−0.523548	−	0.851996i	$-0.675392\pi$
$571$	−25.0210			−1.04710			−0.523548	+	0.851996i	$0.675392\pi$
$572$	0.422133	+	4.82500i	0.0176503	+	0.201743i
$573$	−17.5488	+	20.2034i	−0.733110	+	0.844008i
$574$	−13.4755	+	2.37610i	−0.562458	+	0.0991765i
$575$	8.33155	−	17.6012i	0.347450	−	0.734020i
$576$	−1.84882	−	2.36260i	−0.0770342	−	0.0984415i
$577$	−41.5365	−	11.1297i	−1.72919	−	0.463334i	−0.749192	−	0.662353i	$-0.769558\pi$
$577$	−41.5365	−	11.1297i	−1.72919	−	0.463334i	−0.979996	+	0.199018i	$0.936225\pi$
$578$	−1.28465	−	4.79437i	−0.0534343	−	0.199419i
$579$	−12.0960	−	27.1397i	−0.502693	−	1.12789i
$580$	10.2881	−	1.78348i	0.427191	−	0.0740552i
$581$	40.2731	+	23.2517i	1.67081	+	0.964642i
$582$	1.40274	−	2.33661i	0.0581456	−	0.0968557i
$583$	6.46759	+	13.8698i	0.267860	+	0.574428i
$584$	−1.26702	+	7.18563i	−0.0524297	+	0.297344i
$585$	−21.5758	−	2.69536i	−0.892049	−	0.111439i
$586$	23.0057	−	8.37340i	0.950358	−	0.345902i
$587$	1.41698	+	16.1961i	0.0584848	+	0.668485i	0.967691	+	0.252139i	$0.0811339\pi$
$587$	1.41698	+	16.1961i	0.0584848	+	0.668485i	−0.909206	+	0.416346i	$0.863311\pi$
$588$	5.23595	+	9.43726i	0.215927	+	0.389186i
$589$	−15.5207	+	35.4183i	−0.639519	+	1.45939i
$590$	20.1876	−	5.34689i	0.831112	−	0.220128i
$591$	−15.8452	+	10.6967i	−0.651783	+	0.440002i
$592$	3.08078	−	6.60674i	0.126619	−	0.271536i
$593$	4.97308	+	3.48219i	0.204220	+	0.142996i	0.671213	−	0.741265i	$-0.265774\pi$
$593$	4.97308	+	3.48219i	0.204220	+	0.142996i	−0.466993	+	0.884261i	$0.654663\pi$
$594$	4.12221	+	6.57984i	0.169136	+	0.269974i
$595$	21.6688	−	18.0760i	0.888333	−	0.741043i
$596$	2.39216	−	1.38111i	0.0979866	−	0.0565726i
$597$	−0.0209640	+	1.22837i	−0.000857998	+	0.0502737i
$598$	−12.5760	−	1.10025i	−0.514269	−	0.0449927i
$599$	1.29900	−	1.08999i	0.0530757	−	0.0445358i	−0.615864	−	0.787853i	$-0.711193\pi$
$599$	1.29900	−	1.08999i	0.0530757	−	0.0445358i	0.668940	+	0.743317i	$0.266748\pi$
$600$	8.31180	+	2.43186i	0.339328	+	0.0992801i
$601$	9.51126	+	16.4740i	0.387973	+	0.671988i	0.992177	−	0.124841i	$-0.0398422\pi$
$601$	9.51126	+	16.4740i	0.387973	+	0.671988i	−0.604204	+	0.796830i	$0.706509\pi$
$602$	−5.55355	−	11.9096i	−0.226346	−	0.485400i
$603$	−3.30708	+	0.175893i	−0.134675	+	0.00716290i
$604$	−12.2779	+	2.16492i	−0.499580	+	0.0880894i
$605$	3.45988	−	19.2962i	0.140664	−	0.784503i
$606$	6.06157	+	8.97913i	0.246235	+	0.364752i
$607$	23.2357	−	23.2357i	0.943109	−	0.943109i	−0.0553574	−	0.998467i	$-0.517630\pi$
$607$	23.2357	−	23.2357i	0.943109	−	0.943109i	0.998467	+	0.0553574i	$0.0176298\pi$
$608$	2.09081	−	3.82472i	0.0847936	−	0.155113i
$609$	−28.2832	−	8.09818i	−1.14609	−	0.328155i
$610$	−0.0496578	−	0.0233305i	−0.00201059	−	0.000944623i
$611$	6.08445	+	16.7169i	0.246151	+	0.676293i
$612$	9.57755	−	4.07421i	0.387149	−	0.164690i
$613$	32.1495	−	22.5113i	1.29851	−	0.909224i	0.299514	−	0.954092i	$-0.403175\pi$
$613$	32.1495	−	22.5113i	1.29851	−	0.909224i	0.998993	+	0.0448674i	$0.0142865\pi$
$614$	−26.2733	−	9.56271i	−1.06031	−	0.385920i
$615$	12.7603	−	7.03158i	0.514546	−	0.283541i
$616$	−2.71767	+	4.70714i	−0.109498	+	0.189656i
$617$	3.46738	+	0.303356i	0.139591	+	0.0122127i	0.156737	−	0.987640i	$-0.449902\pi$
$617$	3.46738	+	0.303356i	0.139591	+	0.0122127i	−0.0171459	+	0.999853i	$0.505458\pi$
$618$	10.8944	−	28.4140i	0.438239	−	1.14298i
$619$	3.17771	+	1.83465i	0.127723	+	0.0737409i	0.562500	−	0.826797i	$-0.309840\pi$
$619$	3.17771	+	1.83465i	0.127723	+	0.0737409i	−0.434777	+	0.900538i	$0.643173\pi$
$620$	0.0572320	−	19.8371i	0.00229849	−	0.796677i
$621$	−18.7550	+	7.60294i	−0.752611	+	0.305095i
$622$	−19.6337	−	28.0399i	−0.787241	−	1.12430i
$623$	30.7517	+	21.5326i	1.23204	+	0.862684i
$624$	−0.393798	−	5.60032i	−0.0157646	−	0.224192i
$625$	−23.5894	+	8.27883i	−0.943577	+	0.331153i
$626$		−	1.11198i		−	0.0444438i
$627$	−6.41282	+	9.28160i	−0.256103	+	0.370671i
$628$	−15.8644	−	15.8644i	−0.633058	−	0.633058i
$629$	19.3739	+	16.2566i	0.772486	+	0.648193i
$630$	−18.0988	−	16.3655i	−0.721074	−	0.652016i
$631$	−0.514163	−	2.91596i	−0.0204685	−	0.116083i	0.972862	−	0.231388i	$-0.0743266\pi$
$631$	−0.514163	−	2.91596i	−0.0204685	−	0.116083i	−0.993330	+	0.115305i	$0.963215\pi$
$632$	−11.9774	+	8.38669i	−0.476436	+	0.333604i
$633$	−0.870642	−	5.48324i	−0.0346049	−	0.217939i
$634$	29.3859	−	16.9660i	1.16706	−	0.673805i
$635$	−12.7746	−	3.46247i	−0.506944	−	0.137404i
$636$	−7.22133	−	16.2024i	−0.286344	−	0.642468i
$637$	−1.76027	+	20.1200i	−0.0697444	+	0.797182i
$638$	−1.80595	−	6.73991i	−0.0714984	−	0.266836i
$639$	0.623078	−	18.2490i	0.0246486	−	0.721921i
$640$	−0.201312	+	2.22699i	−0.00795756	+	0.0880294i
$641$	−10.5022	−	1.85183i	−0.414813	−	0.0731427i	−0.0376530	−	0.999291i	$-0.511988\pi$
$641$	−10.5022	−	1.85183i	−0.414813	−	0.0731427i	−0.377160	+	0.926148i	$0.623099\pi$
$642$	−20.0181	−	24.7006i	−0.790051	−	0.974857i
$643$	11.7263	+	5.46807i	0.462441	+	0.215640i	0.639854	−	0.768497i	$-0.278995\pi$
$643$	11.7263	+	5.46807i	0.462441	+	0.215640i	−0.177413	+	0.984137i	$0.556773\pi$
$644$	−10.8524	−	9.10622i	−0.427643	−	0.358835i
$645$	9.69431	+	10.0890i	0.381713	+	0.397256i
$646$	10.9398	+	10.4410i	0.430421	+	0.410795i
$647$	−25.9675	−	25.9675i	−1.02089	−	1.02089i	−0.999777	−	0.0211120i	$-0.993279\pi$
$647$	−25.9675	−	25.9675i	−1.02089	−	1.02089i	−0.0211120	−	0.999777i	$-0.506721\pi$
$648$	−4.64732	−	7.70730i	−0.182564	−	0.302771i
$649$	−4.77314	−	13.1141i	−0.187362	−	0.514774i
$650$	10.3456	+	12.4749i	0.405789	+	0.489307i
$651$	−24.4821	+	50.2452i	−0.959528	+	1.96926i
$652$	−5.31651	+	2.47913i	−0.208211	+	0.0970902i
$653$	−36.1629	−	9.68983i	−1.41517	−	0.379192i	−0.531399	−	0.847122i	$-0.678334\pi$
$653$	−36.1629	−	9.68983i	−1.41517	−	0.379192i	−0.883766	+	0.467929i	$0.845000\pi$
$654$	1.67768	−	1.62137i	0.0656024	−	0.0634008i
$655$	−18.3178	+	3.17546i	−0.715735	+	0.124075i
$656$	2.41805	+	2.88172i	0.0944090	+	0.112512i
$657$	−6.38359	+	20.9380i	−0.249048	+	0.816867i
$658$	−5.16701	+	19.2836i	−0.201431	+	0.751751i
$659$	11.4918	+	4.18266i	0.447655	+	0.162933i	0.556004	−	0.831180i	$-0.312334\pi$
$659$	11.4918	+	4.18266i	0.447655	+	0.162933i	−0.108349	+	0.994113i	$0.534556\pi$
$660$	1.11845	−	5.67819i	0.0435355	−	0.221023i
$661$	8.02889	+	45.5341i	0.312287	+	1.77107i	0.587043	+	0.809556i	$0.300292\pi$
$661$	8.02889	+	45.5341i	0.312287	+	1.77107i	−0.274755	+	0.961514i	$0.588597\pi$
$662$	−7.44221	−	3.47036i	−0.289250	−	0.134879i
$663$	19.1211	+	3.70906i	0.742603	+	0.144048i
$664$		−	12.7846i		−	0.496139i
$665$	11.4423	−	33.5562i	0.443714	−	1.30125i
$666$	11.5745	−	18.5551i	0.448503	−	0.718997i
$667$	18.1175	−	1.58508i	0.701513	−	0.0613744i
$668$	−7.21416	+	15.4708i	−0.279124	+	0.598583i
$669$	25.0589	+	2.62395i	0.968832	+	0.101448i
$670$	1.88635	+	1.59213i	0.0728759	+	0.0615093i
$671$	−0.0125399	+	0.0344531i	−0.000484098	+	0.00133005i
$672$	3.24277	−	5.40162i	0.125092	−	0.208372i
$673$	15.7990	−	4.23333i	0.609007	−	0.163183i	0.0588815	−	0.998265i	$-0.481247\pi$
$673$	15.7990	−	4.23333i	0.609007	−	0.163183i	0.550125	+	0.835082i	$0.314580\pi$
$674$	7.68270	−	6.44655i	0.295926	−	0.248312i
$675$	23.8684	+	10.2615i	0.918696	+	0.394966i
$676$	−1.24689	+	2.15967i	−0.0479572	+	0.0830644i
$677$	−2.88761	+	10.7767i	−0.110980	+	0.414183i	−0.998955	−	0.0457090i	$-0.985445\pi$
$677$	−2.88761	+	10.7767i	−0.110980	+	0.414183i	0.887975	+	0.459892i	$0.152112\pi$
$678$	−3.25760	−	20.5161i	−0.125107	−	0.787916i
$679$	5.63647	+	0.993862i	0.216308	+	0.0381409i
$680$	−7.28221	−	2.67432i	−0.279260	−	0.102556i
$681$	0.103737	+	1.47528i	0.00397522	+	0.0565328i
$682$	−13.2059	+	1.15537i	−0.505681	+	0.0442413i
$683$	−12.7588	+	12.7588i	−0.488200	+	0.488200i	−0.907738	−	0.419538i	$-0.862192\pi$
$683$	−12.7588	+	12.7588i	−0.488200	+	0.488200i	0.419538	+	0.907738i	$0.362192\pi$
$684$	7.61578	−	10.6301i	0.291196	−	0.406454i
$685$	38.1910	−	10.1152i	1.45920	−	0.386484i
$686$	1.79795	−	2.14271i	0.0686459	−	0.0818090i
$687$	−21.5252	+	24.7813i	−0.821237	+	0.945467i
$688$	−2.07213	+	2.95931i	−0.0789992	+	0.112823i
$689$	5.76445	−	32.6918i	0.219608	−	1.24546i
$690$	14.0687	+	5.44080i	0.535585	+	0.207128i
$691$	−16.0099	−	27.7300i	−0.609047	−	1.05490i	−0.991398	−	0.130883i	$-0.958219\pi$
$691$	−16.0099	−	27.7300i	−0.609047	−	1.05490i	0.382351	−	0.924017i	$-0.375114\pi$
$692$	−10.6673	+	2.85830i	−0.405511	+	0.108656i
$693$	−9.80308	+	13.0302i	−0.372388	+	0.494975i
$694$	4.92011	+	5.86356i	0.186765	+	0.222578i
$695$	−3.82735	+	2.19502i	−0.145180	+	0.0832619i
$696$	1.95971	+	7.84700i	0.0742827	+	0.297440i
$697$	−11.8283	+	5.51565i	−0.448030	+	0.208920i
$698$	8.57706	+	12.2493i	0.324647	+	0.463643i
$699$	−2.35464	+	22.4869i	−0.0890605	+	0.850532i
$700$	1.48055	+	18.1269i	0.0559596	+	0.685131i
$701$	3.77595	−	4.50000i	0.142616	−	0.169963i	−0.690008	−	0.723801i	$-0.742393\pi$
$701$	3.77595	−	4.50000i	0.142616	−	0.169963i	0.832624	+	0.553839i	$0.186838\pi$
$702$	0.861868	−	16.8204i	0.0325291	−	0.634844i
$703$	31.4127	+	4.78635i	1.18475	+	0.180521i
$704$	1.49427			0.0563175
$705$	−1.42983	−	21.2084i	−0.0538506	−	0.798754i
$706$	−15.2264	+	5.54195i	−0.573052	+	0.208574i
$707$	−13.0497	+	18.6369i	−0.490785	+	0.700914i
$708$	5.27248	+	15.2931i	0.198152	+	0.574750i
$709$	0.738072	−	2.02784i	0.0277189	−	0.0761570i	−0.925061	−	0.379818i	$-0.875987\pi$
$709$	0.738072	−	2.02784i	0.0277189	−	0.0761570i	0.952780	+	0.303661i	$0.0982089\pi$
$710$	−9.65142	+	9.59589i	−0.362211	+	0.360127i
$711$	−38.7147	+	20.6236i	−1.45191	+	0.773444i
$712$	0.899505	−	10.2814i	0.0337104	−	0.385311i
$713$	3.01137	−	34.4201i	0.112777	−	1.28904i
$714$	15.1898	+	15.7173i	0.568466	+	0.588206i
$715$	7.68020	−	7.63601i	0.287223	−	0.285570i
$716$	1.33431	−	3.66598i	0.0498654	−	0.137004i
$717$	−18.2164	+	6.28031i	−0.680302	+	0.234542i
$718$	−2.39948	+	3.42681i	−0.0895478	+	0.127888i
$719$	39.0482	−	14.2124i	1.45625	−	0.530033i	0.511923	−	0.859031i	$-0.328933\pi$
$719$	39.0482	−	14.2124i	1.45625	−	0.530033i	0.944331	+	0.328998i	$0.106711\pi$
$720$	−1.40854	+	6.55866i	−0.0524934	+	0.244427i
$721$	63.9075			2.38004
$722$	18.5620	+	4.05634i	0.690804	+	0.150961i
$723$	16.5732	+	29.8714i	0.616363	+	1.11093i
$724$	−6.02200	+	7.17674i	−0.223806	+	0.266722i
$725$	−17.7988	−	15.1108i	−0.661029	−	0.561201i
$726$	15.1026	+	1.58141i	0.560509	+	0.0586918i
$727$	−18.8063	−	26.8582i	−0.697487	−	0.996115i	−0.999089	−	0.0426811i	$-0.986410\pi$
$727$	−18.8063	−	26.8582i	−0.697487	−	0.996115i	0.301601	−	0.953434i	$-0.402479\pi$
$728$	10.6855	−	4.98274i	0.396032	−	0.184673i
$729$	−11.0393	−	24.6401i	−0.408864	−	0.912595i
$730$	14.1531	−	8.11692i	0.523828	−	0.300421i
$731$	−8.05644	−	9.60130i	−0.297978	−	0.355117i
$732$	0.0152147	−	0.0396817i	0.000562351	−	0.00146668i
$733$	−8.79037	+	2.35537i	−0.324680	+	0.0869976i	−0.417477	−	0.908687i	$-0.637086\pi$
$733$	−8.79037	+	2.35537i	−0.324680	+	0.0869976i	0.0927977	+	0.995685i	$0.470419\pi$
$734$	−13.9854	−	24.2234i	−0.516210	−	0.894103i
$735$	8.70459	−	22.5081i	0.321074	−	0.830224i
$736$	−0.676307	+	3.83553i	−0.0249290	+	0.141379i
$737$	0.946145	−	1.35123i	0.0348517	−	0.0497734i
$738$	6.15385	+	9.46000i	0.226526	+	0.348228i
$739$	−19.4734	+	23.2075i	−0.716339	+	0.853700i	−0.994270	−	0.106901i	$-0.965907\pi$
$739$	−19.4734	+	23.2075i	−0.716339	+	0.853700i	0.277930	+	0.960601i	$0.410352\pi$
$740$	−15.7570	+	4.17340i	−0.579240	+	0.153417i
$741$	22.9428	−	8.51356i	0.842826	−	0.312753i
$742$	26.3419	−	26.3419i	0.967040	−	0.967040i
$743$	−1.32557	+	0.115972i	−0.0486304	+	0.00425461i	−0.111445	−	0.993771i	$-0.535548\pi$
$743$	−1.32557	+	0.115972i	−0.0486304	+	0.00425461i	0.0628146	+	0.998025i	$0.479992\pi$
$744$	15.3280	−	1.07782i	0.561950	−	0.0395147i
$745$	−5.79792	−	2.12923i	−0.212419	−	0.0780091i
$746$	−13.7658	−	2.42728i	−0.504002	−	0.0888692i
$747$	4.64458	−	38.0716i	0.169936	−	1.39297i
$748$	−1.34176	+	5.00753i	−0.0490597	+	0.183093i
$749$	33.3848	−	57.8241i	1.21985	−	2.11285i
$750$	−7.72991	−	17.7552i	−0.282256	−	0.648330i
$751$	12.9584	−	10.8734i	0.472859	−	0.396776i	−0.374977	−	0.927034i	$-0.622350\pi$
$751$	12.9584	−	10.8734i	0.472859	−	0.396776i	0.847836	+	0.530258i	$0.177905\pi$
$752$	5.30140	−	1.42050i	0.193322	−	0.0518005i
$753$	11.8555	+	7.11724i	0.432038	+	0.259367i
$754$	−5.17673	+	14.2230i	−0.188526	+	0.517970i
$755$	21.3038	+	17.9810i	0.775324	+	0.654395i
$756$	11.6191	−	14.9075i	0.422582	−	0.542182i
$757$	−11.8569	+	25.4272i	−0.430946	+	0.924167i	0.564189	+	0.825646i	$0.309189\pi$
$757$	−11.8569	+	25.4272i	−0.430946	+	0.924167i	−0.995135	+	0.0985214i	$0.968589\pi$
$758$	−18.0550	+	1.57961i	−0.655788	+	0.0573740i
$759$	2.77468	−	9.69067i	0.100715	−	0.351749i
$760$	−9.56212	+	1.88835i	−0.346855	+	0.0684977i
$761$		−	8.72796i		−	0.316388i	−0.987408	−	0.158194i	$-0.949433\pi$
$761$		−	8.72796i		−	0.316388i	0.987408	−	0.158194i	$-0.0505672\pi$
$762$	1.95230	−	10.0646i	0.0707244	−	0.364602i
$763$	4.44068	+	2.07072i	0.160763	+	0.0749652i
$764$	2.68292	+	15.2156i	0.0970645	+	0.550480i
$765$	−20.7143	−	10.6095i	−0.748926	−	0.383588i
$766$	32.0580	+	11.6681i	1.15830	+	0.421587i
$767$	−7.83507	+	29.2409i	−0.282908	+	1.05583i
$768$	−1.73180	−	0.0295558i	−0.0624909	−	0.00106650i
$769$	−9.75727	−	11.6283i	−0.351856	−	0.419326i	0.560866	−	0.827907i	$-0.310468\pi$
$769$	−9.75727	−	11.6283i	−0.351856	−	0.419326i	−0.912722	+	0.408581i	$0.866024\pi$
$770$	11.9752	−	2.07594i	0.431555	−	0.0748117i
$771$	30.9995	+	32.0760i	1.11642	+	1.15519i
$772$	−16.5704	−	4.44003i	−0.596382	−	0.159800i
$773$	6.95175	−	3.24165i	0.250037	−	0.116594i	−0.293560	−	0.955941i	$-0.594840\pi$
$773$	6.95175	−	3.24165i	0.250037	−	0.116594i	0.543597	+	0.839347i	$0.317062\pi$
$774$	−7.24574	+	8.05979i	−0.260443	+	0.289703i
$775$	−34.1436	+	28.3158i	−1.22647	+	1.01713i
$776$	−0.538159	−	1.47858i	−0.0193188	−	0.0530779i
$777$	45.0867	+	8.74580i	1.61748	+	0.313754i
$778$	18.8246	+	18.8246i	0.674895	+	0.674895i
$779$	−9.08932	+	13.6477i	−0.325659	+	0.488978i
$780$	−9.05206	+	8.69790i	−0.324116	+	0.311435i
$781$	6.96715	+	5.84613i	0.249304	+	0.209191i
$782$	−12.2462	−	5.71047i	−0.437921	−	0.204206i
$783$	2.98510	+	24.0797i	0.106679	+	0.860538i
$784$	6.13636	+	1.08201i	0.219156	+	0.0386431i
$785$	−4.51656	+	49.9638i	−0.161203	+	1.78329i
$786$	−3.48923	−	13.9714i	−0.124457	−	0.498344i
$787$	10.4875	+	39.1397i	0.373837	+	1.39518i	0.855036	+	0.518569i	$0.173535\pi$
$787$	10.4875	+	39.1397i	0.373837	+	1.39518i	−0.481199	+	0.876612i	$0.659798\pi$
$788$	−0.961993	+	10.9956i	−0.0342696	+	0.391703i
$789$	−42.2018	+	18.8091i	−1.50242	+	0.669621i
$790$	31.5566	+	8.55322i	1.12273	+	0.304310i
$791$	37.7806	−	21.8126i	1.34332	−	0.775568i
$792$	4.44982	+	0.542861i	0.158118	+	0.0192897i
$793$	0.0651480	−	0.0456171i	0.00231347	−	0.00161991i
$794$	−3.05619	−	17.3325i	−0.108460	−	0.615108i
$795$	−17.4771	+	35.6074i	−0.619848	+	1.26286i
$796$	0.543356	+	0.455930i	0.0192587	+	0.0161600i
$797$	−17.2179	−	17.2179i	−0.609889	−	0.609889i	0.333028	−	0.942917i	$-0.391930\pi$
$797$	−17.2179	−	17.2179i	−0.609889	−	0.609889i	−0.942917	+	0.333028i	$0.891930\pi$
$798$	26.5704	+	6.94150i	0.940580	+	0.245727i
$799$			19.0413i			0.673633i
$800$	4.11224	−	2.84420i	0.145390	−	0.100558i
$801$	6.41383	−	30.2904i	0.226622	−	1.07026i
$802$	−9.79273	−	6.85694i	−0.345793	−	0.242127i
$803$	−6.25367	−	8.93116i	−0.220687	−	0.315174i
$804$	−1.12327	+	1.54731i	−0.0396146	+	0.0545694i
$805$	−0.0913934	+	31.6777i	−0.00322119	+	1.11649i
$806$	24.9028	+	14.3777i	0.877165	+	0.506431i
$807$	−51.3546	−	19.6903i	−1.80777	−	0.693132i
$808$	6.23099	+	0.545141i	0.219206	+	0.0191780i
$809$	−6.34640	+	10.9923i	−0.223128	+	0.386468i	−0.955756	−	0.294160i	$-0.904960\pi$
$809$	−6.34640	+	10.9923i	−0.223128	+	0.386468i	0.732628	+	0.680629i	$0.238293\pi$
$810$	−6.57726	+	19.0195i	−0.231101	+	0.668275i
$811$	11.8101	+	4.29852i	0.414708	+	0.150941i	0.540944	−	0.841059i	$-0.318067\pi$
$811$	11.8101	+	4.29852i	0.414708	+	0.150941i	−0.126235	+	0.992000i	$0.540289\pi$
$812$	−13.9137	+	9.74247i	−0.488275	+	0.341894i
$813$	−0.779434	+	0.631675i	−0.0273360	+	0.0221538i
$814$	3.72557	+	10.2359i	0.130581	+	0.358769i
$815$	11.8720	+	5.57778i	0.415859	+	0.195381i
$816$	1.65409	−	5.77698i	0.0579049	−	0.202235i
$817$	−14.9191	−	5.03925i	−0.521953	−	0.176301i
$818$	3.70833	−	3.70833i	0.129659	−	0.129659i
$819$	33.6309	−	10.9562i	1.17516	−	0.382841i
$820$	1.48457	−	8.27964i	0.0518433	−	0.289138i
$821$	46.3083	−	8.16541i	1.61617	−	0.284975i	0.708834	−	0.705376i	$-0.249222\pi$
$821$	46.3083	−	8.16541i	1.61617	−	0.284975i	0.907339	+	0.420401i	$0.138111\pi$
$822$	9.97449	+	28.9315i	0.347900	+	1.00910i
$823$	11.0484	+	23.6933i	0.385122	+	0.825898i	0.999325	+	0.0367489i	$0.0117002\pi$
$823$	11.0484	+	23.6933i	0.385122	+	0.825898i	−0.614202	+	0.789149i	$0.710522\pi$
$824$	−8.78466	−	15.2155i	−0.306028	−	0.530057i
$825$	−11.3519	+	6.21281i	−0.395221	+	0.216302i
$826$	−26.0240	+	21.8367i	−0.905490	+	0.759796i
$827$	−6.74600	−	0.590198i	−0.234581	−	0.0205232i	−0.0307411	−	0.999527i	$-0.509787\pi$
$827$	−6.74600	−	0.590198i	−0.234581	−	0.0205232i	−0.203840	+	0.979004i	$0.565342\pi$
$828$	−3.40742	+	11.1762i	−0.118416	+	0.388400i
$829$	18.3426	−	10.5901i	0.637065	−	0.367809i	−0.146418	−	0.989223i	$-0.546775\pi$
$829$	18.3426	−	10.5901i	0.637065	−	0.367809i	0.783483	+	0.621413i	$0.213441\pi$
$830$	−21.9520	+	18.3123i	−0.761966	+	0.635628i
$831$	24.4984	−	50.2787i	0.849839	−	1.74415i
$832$	−2.65514	−	1.85915i	−0.0920505	−	0.0644545i
$833$	−9.13604	+	19.5923i	−0.316545	+	0.678833i
$834$	−1.91220	−	2.83258i	−0.0662141	−	0.0980843i
$835$	36.8977	−	9.77271i	1.27690	−	0.338199i
$836$	1.83207	+	6.25041i	0.0633634	+	0.216175i
$837$	46.0370	+	2.35891i	1.59127	+	0.0815360i
$838$	0.966237	+	11.0441i	0.0333781	+	0.381513i
$839$	−34.6238	+	12.6020i	−1.19535	+	0.435071i	−0.861598	−	0.507591i	$-0.830536\pi$
$839$	−34.6238	+	12.6020i	−1.19535	+	0.435071i	−0.333749	+	0.942662i	$0.608314\pi$
$840$	−13.9198	+	2.16907i	−0.480278	+	0.0748399i
$841$	−1.24935	+	7.08542i	−0.0430810	+	0.244325i
$842$	3.26346	+	6.99851i	0.112466	+	0.241185i
$843$	3.04597	+	1.82860i	0.104909	+	0.0629802i
$844$	−2.77596	−	1.60270i	−0.0955526	−	0.0551673i
$845$	5.49431	−	0.952459i	0.189010	−	0.0327656i
$846$	16.3032	−	2.30418i	0.560516	−	0.0792194i
$847$	8.25375	+	30.8034i	0.283602	+	1.05842i
$848$	−9.89256	−	2.65070i	−0.339712	−	0.0910255i
$849$	4.22918	−	5.82572i	0.145145	−	0.199938i
$850$	5.83881	+	16.3347i	0.200270	+	0.560274i
$851$	−27.9600	+	4.93010i	−0.958456	+	0.169002i
$852$	−7.95900	−	6.91323i	−0.272671	−	0.236843i
$853$	−3.49514	−	39.9496i	−0.119671	−	1.36785i	−0.784164	−	0.620554i	$-0.786908\pi$
$853$	−3.49514	−	39.9496i	−0.119671	−	1.36785i	0.664492	−	0.747295i	$-0.268648\pi$
$854$	0.0892503			0.00305408
$855$	−29.1613	+	2.14949i	−0.997294	+	0.0735110i
$856$	−18.3562			−0.627401
$857$	0.0861037	+	0.984170i	0.00294125	+	0.0336186i	0.997523	−	0.0703340i	$-0.0224065\pi$
$857$	0.0861037	+	0.984170i	0.00294125	+	0.0336186i	−0.994582	+	0.103953i	$0.966851\pi$
$858$	6.33345	+	5.50126i	0.216220	+	0.187810i
$859$	−50.0294	+	8.82154i	−1.70698	+	0.300987i	−0.940125	−	0.340830i	$-0.889292\pi$
$859$	−50.0294	+	8.82154i	−1.70698	+	0.300987i	−0.766858	+	0.641817i	$0.778181\pi$
$860$	8.04938	−	0.680835i	0.274482	−	0.0232163i
$861$	−13.9233	+	19.1794i	−0.474504	+	0.653633i
$862$	−4.70268	−	1.26008i	−0.160174	−	0.0429185i
$863$	12.5118	+	46.6948i	0.425908	+	1.58951i	0.761932	+	0.647657i	$0.224251\pi$
$863$	12.5118	+	46.6948i	0.425908	+	1.58951i	−0.336023	+	0.941854i	$0.609082\pi$
$864$	−5.14642	−	0.717169i	−0.175085	−	0.0243986i
$865$	20.1874	+	14.2224i	0.686393	+	0.483575i
$866$	11.1890	+	6.45998i	0.380218	+	0.219519i
$867$	−7.37081	−	4.42493i	−0.250326	−	0.150279i
$868$	13.6377	+	29.2460i	0.462892	+	0.992675i
$869$	3.79401	−	21.5169i	0.128703	−	0.729912i
$870$	10.6668	−	14.6048i	0.361638	−	0.495148i
$871$	−3.36237	+	1.22380i	−0.113930	+	0.0414670i
$872$	−0.117401	−	1.34190i	−0.00397571	−	0.0454426i
$873$	−1.06544	−	4.59861i	−0.0360595	−	0.155639i
$874$	−16.8729	+	1.87366i	−0.570734	+	0.0633773i
$875$	29.0044	−	28.5066i	0.980526	−	0.963698i
$876$	7.07108	+	10.4745i	0.238910	+	0.353902i
$877$	−15.5021	+	33.2444i	−0.523470	+	1.12258i	0.449845	+	0.893107i	$0.351479\pi$
$877$	−15.5021	+	33.2444i	−0.523470	+	1.12258i	−0.973314	+	0.229477i	$0.926298\pi$
$878$	−32.3826	−	22.6745i	−1.09286	−	0.765228i
$879$	18.5741	−	38.1200i	0.626488	−	1.28576i
$880$	−2.14035	−	2.56577i	−0.0721511	−	0.0864919i
$881$	5.58351	−	3.22364i	0.188113	−	0.108607i	−0.402986	−	0.915206i	$-0.632028\pi$
$881$	5.58351	−	3.22364i	0.188113	−	0.108607i	0.591099	+	0.806599i	$0.298694\pi$
$882$	17.8805	+	5.45144i	0.602068	+	0.183559i
$883$	30.6494	+	2.68147i	1.03143	+	0.0902387i	0.590284	−	0.807195i	$-0.299016\pi$
$883$	30.6494	+	2.68147i	1.03143	+	0.0902387i	0.441149	+	0.897434i	$0.354571\pi$
$884$	8.61445	−	7.22838i	0.289735	−	0.243117i
$885$	18.7071	−	30.9586i	0.628834	−	1.04066i
$886$	−0.240131	−	0.415919i	−0.00806736	−	0.0139731i
$887$	−1.18999	−	2.55195i	−0.0399561	−	0.0856861i	0.885317	−	0.464989i	$-0.153942\pi$
$887$	−1.18999	−	2.55195i	−0.0399561	−	0.0856861i	−0.925273	+	0.379303i	$0.876164\pi$
$888$	−4.11532	−	11.9367i	−0.138101	−	0.400570i
$889$	21.2033	−	3.73872i	0.711137	−	0.125393i
$890$	−18.9423	+	13.1822i	−0.634946	+	0.441869i
$891$	13.0540	+	3.23320i	0.437326	+	0.108316i
$892$	10.2862	−	10.2862i	0.344406	−	0.344406i
$893$	12.4417	+	20.4337i	0.416345	+	0.683787i
$894$	1.31695	−	4.59949i	0.0440454	−	0.153830i
$895$	−8.20595	+	2.95994i	−0.274295	+	0.0989399i
$896$	−1.24408	−	3.41808i	−0.0415618	−	0.114190i
$897$	−16.9873	+	13.7669i	−0.567188	+	0.459665i
$898$	5.94148	−	4.16027i	0.198270	−	0.138830i
$899$	−38.9279	−	14.1686i	−1.29832	−	0.472550i
$900$	13.2792	−	6.97585i	0.442640	−	0.232528i
$901$	17.7658	−	30.7713i	0.591865	−	1.02514i
$902$	−5.59979	−	0.489918i	−0.186453	−	0.0163125i
$903$	−21.2520	−	8.14840i	−0.707222	−	0.271162i
$904$	−10.3866	−	5.99668i	−0.345452	−	0.199447i
$905$	20.9487	+	0.0604391i	0.696358	+	0.00200906i
$906$	−12.6858	+	17.4748i	−0.421459	+	0.580562i
$907$	27.2763	+	38.9545i	0.905693	+	1.29346i	0.955587	+	0.294709i	$0.0952228\pi$
$907$	27.2763	+	38.9545i	0.905693	+	1.29346i	−0.0498938	+	0.998755i	$0.515888\pi$
$908$	0.699438	+	0.489751i	0.0232117	+	0.0162530i
$909$	18.3574	+	3.88708i	0.608875	+	0.128926i
$910$	−23.8613	−	11.2106i	−0.790995	−	0.371629i
$911$		−	37.9378i		−	1.25693i	−0.777836	−	0.628467i	$-0.783683\pi$
$911$		−	37.9378i		−	1.25693i	0.777836	−	0.628467i	$-0.216317\pi$
$912$	−1.99966	−	7.28020i	−0.0662154	−	0.241072i
$913$	13.5083	+	13.5083i	0.447061	+	0.447061i
$914$	15.8140	+	13.2695i	0.523080	+	0.438916i
$915$	−0.0899292	+	0.0307142i	−0.00297297	+	0.00101538i
$916$	3.29085	+	18.6633i	0.108733	+	0.616654i
$917$	24.7730	−	17.3462i	0.818077	−	0.572824i
$918$	7.02451	−	16.6025i	0.231843	−	0.547963i
$919$	−22.1029	+	12.7611i	−0.729107	+	0.420950i	−0.818095	−	0.575083i	$-0.804970\pi$
$919$	−22.1029	+	12.7611i	−0.729107	+	0.420950i	0.0889886	+	0.996033i	$0.471637\pi$
$920$	7.55458	−	4.33263i	0.249067	−	0.142842i
$921$	−44.2329	+	19.7143i	−1.45752	+	0.649609i
$922$	0.847987	−	9.69254i	0.0279270	−	0.319207i
$923$	−5.10612	−	19.0563i	−0.168070	−	0.627246i
$924$	2.28107	+	9.13375i	0.0750416	+	0.300478i
$925$	29.7359	+	21.0780i	0.977710	+	0.693042i
$926$	−9.85047	−	1.73690i	−0.323707	−	0.0570782i
$927$	−20.6323	−	48.5019i	−0.677655	−	1.59301i
$928$	4.23211	+	1.97346i	0.138926	+	0.0647821i
$929$	29.7420	+	24.9565i	0.975803	+	0.818796i	0.983451	−	0.181175i	$-0.0579899\pi$
$929$	29.7420	+	24.9565i	0.975803	+	0.818796i	−0.00764775	+	0.999971i	$0.502434\pi$
$930$	−23.8060	−	24.7753i	−0.780629	−	0.812414i
$931$	2.99761	+	26.9945i	0.0982428	+	0.884708i
$932$	9.23042	+	9.23042i	0.302352	+	0.302352i
$933$	−58.2038	−	11.2902i	−1.90551	−	0.369625i
$934$	12.9703	+	35.6357i	0.424403	+	1.16604i
$935$	10.5202	−	4.86873i	0.344046	−	0.159225i
$936$	−7.23139	−	6.50101i	−0.236365	−	0.212492i
$937$	13.6803	−	6.37923i	0.446916	−	0.208400i	−0.186113	−	0.982528i	$-0.559589\pi$
$937$	13.6803	−	6.37923i	0.446916	−	0.208400i	0.633029	+	0.774128i	$0.281811\pi$
$938$	−3.87862	−	1.03927i	−0.126641	−	0.0339335i
$939$	−1.33846	−	1.38494i	−0.0436789	−	0.0451957i
$940$	−10.0327	−	7.06817i	−0.327229	−	0.230538i
$941$	−2.01753	−	2.40440i	−0.0657695	−	0.0783811i	0.732157	−	0.681136i	$-0.238514\pi$
$941$	−2.01753	−	2.40440i	−0.0657695	−	0.0783811i	−0.797926	+	0.602755i	$0.794069\pi$
$942$	−38.8540	−	0.663104i	−1.26593	−	0.0216051i
$943$	3.79200	−	14.1519i	0.123484	−	0.460850i
$944$	8.77625	+	3.19429i	0.285643	+	0.103965i
$945$	−42.2401	+	1.40232i	−1.37407	+	0.0456175i
$946$	−0.937401	−	5.31627i	−0.0304775	−	0.172847i
$947$	44.4069	+	20.7073i	1.44303	+	0.672895i	0.977267	−	0.212014i	$-0.0680024\pi$
$947$	44.4069	+	20.7073i	1.44303	+	0.672895i	0.465762	+	0.884910i	$0.345780\pi$
$948$	−4.82270	+	24.8622i	−0.156634	+	0.807486i
$949$			23.6503i			0.767722i
$950$	16.9389	+	13.7140i	0.549571	+	0.444940i
$951$	16.1778	−	56.5014i	0.524601	−	1.83219i
$952$	12.5716	−	1.09987i	0.407448	−	0.0356471i
$953$	2.95657	−	6.34037i	0.0957725	−	0.205385i	−0.852585	−	0.522589i	$-0.824966\pi$
$953$	2.95657	−	6.34037i	0.0957725	−	0.205385i	0.948357	+	0.317204i	$0.102744\pi$
$954$	−28.4963	−	11.4875i	−0.922601	−	0.371921i
$955$	22.2832	−	26.4011i	0.721069	−	0.854319i
$956$	−3.80488	+	10.4538i	−0.123058	+	0.338100i
$957$	−10.3619	−	6.22056i	−0.334952	−	0.201082i
$958$	25.8257	−	6.91997i	0.834389	−	0.223574i
$959$	−49.2322	+	41.3107i	−1.58979	+	1.33399i
$960$	2.42983	+	3.01595i	0.0784223	+	0.0973393i
$961$	−23.8513	+	41.3117i	−0.769398	+	1.33264i
$962$	6.11549	−	22.8233i	0.197171	−	0.735853i
$963$	−54.6632	−	6.66870i	−1.76150	−	0.214896i
$964$	19.4232	+	3.42484i	0.625580	+	0.110307i
$965$	16.1111	+	34.8123i	0.518635	+	1.12065i
$966$	−24.4771	+	1.72116i	−0.787538	+	0.0553774i
$967$	−40.4674	+	3.54044i	−1.30134	+	0.113853i	−0.716669	−	0.697414i	$-0.754334\pi$
$967$	−40.4674	+	3.54044i	−1.30134	+	0.113853i	−0.584676	+	0.811267i	$0.698778\pi$
$968$	6.19931	−	6.19931i	0.199253	−	0.199253i
$969$	26.1926	−	0.163992i	0.841429	−	0.00526817i
$970$	−1.76798	+	3.04193i	−0.0567664	+	0.0976704i
$971$	−20.7326	+	24.7081i	−0.665340	+	0.792921i	−0.988142	−	0.153545i	$-0.950931\pi$
$971$	−20.7326	+	24.7081i	−0.665340	+	0.792921i	0.322802	+	0.946467i	$0.395375\pi$
$972$	−15.0651	−	4.00534i	−0.483213	−	0.128471i
$973$	4.11670	−	5.87926i	0.131975	−	0.188480i
$974$	−5.11638	+	29.0164i	−0.163939	+	0.929747i
$975$	27.9008	+	3.08439i	0.893540	+	0.0987796i
$976$	−0.0122683	−	0.0212493i	−0.000392698	−	0.000680172i
$977$	3.18510	−	0.853445i	0.101900	−	0.0273041i	−0.207509	−	0.978233i	$-0.566535\pi$
$977$	3.18510	−	0.853445i	0.101900	−	0.0273041i	0.309409	+	0.950929i	$0.399869\pi$
$978$	−3.63748	+	9.48698i	−0.116314	+	0.303360i
$979$	9.91299	+	11.8138i	0.316821	+	0.377572i
$980$	−6.93166	−	12.0864i	−0.221424	−	0.386085i
$981$	0.137895	−	4.03873i	0.00440264	−	0.128947i
$982$	8.95390	−	4.17527i	0.285730	−	0.133238i
$983$	−18.5218	−	26.4518i	−0.590753	−	0.843683i	0.406806	−	0.913515i	$-0.366643\pi$
$983$	−18.5218	−	26.4518i	−0.590753	−	0.843683i	−0.997559	+	0.0698321i	$0.977754\pi$
$984$	6.48023	+	0.678555i	0.206582	+	0.0216316i
$985$	20.2582	−	14.0980i	0.645478	−	0.449199i
$986$	−10.4135	+	12.4104i	−0.331635	+	0.395227i
$987$	16.7756	+	30.2364i	0.533975	+	0.962434i
$988$	4.52130	−	13.3857i	0.143842	−	0.425855i
$989$	14.0702			0.447405
$990$	−5.44166	−	8.41823i	−0.172947	−	0.267549i
$991$	38.6641	−	14.0726i	1.22821	−	0.447030i	0.355223	−	0.934782i	$-0.384405\pi$
$991$	38.6641	−	14.0726i	1.22821	−	0.447030i	0.872983	+	0.487751i	$0.162183\pi$
$992$	5.08846	−	7.26707i	0.161559	−	0.230730i
$993$	−13.4462	+	4.63573i	−0.426701	+	0.147110i
$994$	7.57216	−	20.8044i	0.240174	−	0.659874i
$995$	0.00457588	−	1.58604i	0.000145065	−	0.0502808i
$996$	−15.3884	−	15.9228i	−0.487601	−	0.504533i
$997$	−3.56687	+	40.7695i	−0.112964	+	1.29118i	0.702211	+	0.711969i	$0.252196\pi$
$997$	−3.56687	+	40.7695i	−0.112964	+	1.29118i	−0.815175	+	0.579215i	$0.803359\pi$
$998$	2.43719	−	27.8572i	0.0771479	−	0.881804i
$999$	−7.91856	−	37.0416i	−0.250532	−	1.17195i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	570.2.bi.a.263.4	✓	480
3.2	odd	2	inner	570.2.bi.a.263.22	yes	480
5.2	odd	4	inner	570.2.bi.a.377.26	yes	480
15.2	even	4	inner	570.2.bi.a.377.9	yes	480
19.6	even	9	inner	570.2.bi.a.443.9	yes	480
57.44	odd	18	inner	570.2.bi.a.443.26	yes	480
95.82	odd	36	inner	570.2.bi.a.557.22	yes	480
285.272	even	36	inner	570.2.bi.a.557.4	yes	480

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
570.2.bi.a.263.4	✓	480	1.1	even	1	trivial
570.2.bi.a.263.22	yes	480	3.2	odd	2	inner
570.2.bi.a.377.9	yes	480	15.2	even	4	inner
570.2.bi.a.377.26	yes	480	5.2	odd	4	inner
570.2.bi.a.443.9	yes	480	19.6	even	9	inner
570.2.bi.a.443.26	yes	480	57.44	odd	18	inner
570.2.bi.a.557.4	yes	480	285.272	even	36	inner
570.2.bi.a.557.22	yes	480	95.82	odd	36	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:	\( N \)	\(=\)	\( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	570.bi (of order \(36\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.0871557 - 0.996195i) q^{2} +(-1.30764 - 1.13582i) q^{3} +(-0.984808 + 0.173648i) q^{4} +(1.70877 + 1.44225i) q^{5} +(-1.01753 + 1.40165i) q^{6} +(-3.51350 - 0.941441i) q^{7} +(0.258819 + 0.965926i) q^{8} +(0.419827 + 2.97048i) q^{9} +O(q^{10})\)	\(q+(-0.0871557 - 0.996195i) q^{2} +(-1.30764 - 1.13582i) q^{3} +(-0.984808 + 0.173648i) q^{4} +(1.70877 + 1.44225i) q^{5} +(-1.01753 + 1.40165i) q^{6} +(-3.51350 - 0.941441i) q^{7} +(0.258819 + 0.965926i) q^{8} +(0.419827 + 2.97048i) q^{9} +(1.28784 - 1.82797i) q^{10} +(-1.29408 - 0.747136i) q^{11} +(1.48500 + 0.891495i) q^{12} +(1.36985 + 2.93764i) q^{13} +(-0.631636 + 3.58219i) q^{14} +(-0.596316 - 3.82680i) q^{15} +(0.939693 - 0.342020i) q^{16} +(0.302375 + 3.45616i) q^{17} +(2.92259 - 0.677124i) q^{18} +(2.58276 + 3.51132i) q^{19} +(-1.93326 - 1.12362i) q^{20} +(3.52508 + 5.22177i) q^{21} +(-0.631507 + 1.35427i) q^{22} +(-3.19035 - 2.23391i) q^{23} +(0.758676 - 1.55705i) q^{24} +(0.839814 + 4.92897i) q^{25} +(2.80707 - 1.62067i) q^{26} +(2.82495 - 4.36115i) q^{27} +(3.62361 + 0.317024i) q^{28} +(-3.57713 + 3.00157i) q^{29} +(-3.76027 + 0.927574i) q^{30} +(4.43573 + 7.68290i) q^{31} +(-0.422618 - 0.906308i) q^{32} +(0.843571 + 2.44682i) q^{33} +(3.41666 - 0.602449i) q^{34} +(-4.64599 - 6.67607i) q^{35} +(-0.929267 - 2.85245i) q^{36} +(5.15462 - 5.15462i) q^{37} +(3.27285 - 2.87896i) q^{38} +(1.54537 - 5.39727i) q^{39} +(-0.950846 + 2.02383i) q^{40} +(1.28662 + 3.53495i) q^{41} +(4.89467 - 3.96677i) q^{42} +(-2.95931 + 2.07213i) q^{43} +(1.40416 + 0.511071i) q^{44} +(-3.56679 + 5.68137i) q^{45} +(-1.94735 + 3.37291i) q^{46} +(5.46752 + 0.478346i) q^{47} +(-1.61725 - 0.620083i) q^{48} +(5.39623 + 3.11551i) q^{49} +(4.83702 - 1.26621i) q^{50} +(3.53018 - 4.86285i) q^{51} +(-1.85915 - 2.65514i) q^{52} +(-8.38937 - 5.87430i) q^{53} +(-4.59077 - 2.43410i) q^{54} +(-1.13373 - 3.14307i) q^{55} -3.63745i q^{56} +(0.610910 - 7.52508i) q^{57} +(3.30191 + 3.30191i) q^{58} +(7.15446 + 6.00331i) q^{59} +(1.25177 + 3.66511i) q^{60} +(-0.00426072 - 0.0241638i) q^{61} +(7.26707 - 5.08846i) q^{62} +(1.32147 - 10.8320i) q^{63} +(-0.866025 + 0.500000i) q^{64} +(-1.89607 + 6.99543i) q^{65} +(2.36399 - 1.05362i) q^{66} +(-0.0962128 + 1.09972i) q^{67} +(-0.897938 - 3.35115i) q^{68} +(1.63450 + 6.54480i) q^{69} +(-6.24574 + 5.21017i) q^{70} +(-5.99409 - 1.05692i) q^{71} +(-2.76060 + 1.17434i) q^{72} +(6.61286 + 3.08363i) q^{73} +(-5.58426 - 4.68575i) q^{74} +(4.50025 - 7.39917i) q^{75} +(-3.15326 - 3.00948i) q^{76} +(3.84336 + 3.84336i) q^{77} +(-5.51142 - 1.06909i) q^{78} +(5.00093 + 13.7399i) q^{79} +(2.09900 + 0.770839i) q^{80} +(-8.64749 + 2.49417i) q^{81} +(3.40937 - 1.58981i) q^{82} +(-12.3490 - 3.30890i) q^{83} +(-4.37828 - 4.53032i) q^{84} +(-4.46797 + 6.34190i) q^{85} +(2.32217 + 2.76745i) q^{86} +(8.08683 + 0.138014i) q^{87} +(0.386746 - 1.44336i) q^{88} +(-9.69825 - 3.52987i) q^{89} +(5.97062 + 3.05806i) q^{90} +(-2.04734 - 11.6111i) q^{91} +(3.52979 + 1.64597i) q^{92} +(2.92608 - 15.0846i) q^{93} -5.48841i q^{94} +(-0.650852 + 9.72504i) q^{95} +(-0.476771 + 1.66514i) q^{96} +(-1.56748 + 0.137137i) q^{97} +(2.63334 - 5.64723i) q^{98} +(1.67606 - 4.15770i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 480 q+O(q^{10}) \) 480 * q	\( 480 q - 36 q^{15} - 48 q^{18} + 24 q^{22} - 24 q^{25} + 72 q^{33} + 24 q^{43} - 36 q^{45} + 24 q^{51} - 120 q^{55} + 108 q^{57} - 48 q^{60} - 48 q^{61} - 36 q^{63} - 24 q^{66} + 48 q^{67} - 48 q^{70} - 48 q^{78} - 144 q^{81} - 48 q^{85} - 96 q^{87} - 168 q^{90} - 144 q^{91} - 228 q^{93} + 48 q^{97}+O(q^{100}) \) 480 * q - 36 * q^15 - 48 * q^18 + 24 * q^22 - 24 * q^25 + 72 * q^33 + 24 * q^43 - 36 * q^45 + 24 * q^51 - 120 * q^55 + 108 * q^57 - 48 * q^60 - 48 * q^61 - 36 * q^63 - 24 * q^66 + 48 * q^67 - 48 * q^70 - 48 * q^78 - 144 * q^81 - 48 * q^85 - 96 * q^87 - 168 * q^90 - 144 * q^91 - 228 * q^93 + 48 * q^97

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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