LMFDB - Embedded newform 570.2.bi.a.263.22

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			263.22
Character	$\chi$	$=$	570.263
Dual form			570.2.bi.a.557.22

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.0871557 + 0.996195i) q^{2} +(-1.71062 - 0.271617i) q^{3} +(-0.984808 + 0.173648i) q^{4} +(-1.70877 - 1.44225i) q^{5} +(0.121493 - 1.72778i) q^{6} +(-3.51350 - 0.941441i) q^{7} +(-0.258819 - 0.965926i) q^{8} +(2.85245 + 0.929267i) q^{9} +O(q^{10})$	\(q+(0.0871557 + 0.996195i) q^{2} +(-1.71062 - 0.271617i) q^{3} +(-0.984808 + 0.173648i) q^{4} +(-1.70877 - 1.44225i) q^{5} +(0.121493 - 1.72778i) q^{6} +(-3.51350 - 0.941441i) q^{7} +(-0.258819 - 0.965926i) q^{8} +(2.85245 + 0.929267i) q^{9} +(1.28784 - 1.82797i) q^{10} +(1.29408 + 0.747136i) q^{11} +(1.73180 - 0.0295558i) q^{12} +(1.36985 + 2.93764i) q^{13} +(0.631636 - 3.58219i) q^{14} +(2.53132 + 2.93128i) q^{15} +(0.939693 - 0.342020i) q^{16} +(-0.302375 - 3.45616i) q^{17} +(-0.677124 + 2.92259i) q^{18} +(2.58276 + 3.51132i) q^{19} +(1.93326 + 1.12362i) q^{20} +(5.75456 + 2.56478i) q^{21} +(-0.631507 + 1.35427i) q^{22} +(3.19035 + 2.23391i) q^{23} +(0.180380 + 1.72263i) q^{24} +(0.839814 + 4.92897i) q^{25} +(-2.80707 + 1.62067i) q^{26} +(-4.62705 - 2.36440i) q^{27} +(3.62361 + 0.317024i) q^{28} +(3.57713 - 3.00157i) q^{29} +(-2.69951 + 2.77717i) q^{30} +(4.43573 + 7.68290i) q^{31} +(0.422618 + 0.906308i) q^{32} +(-2.01074 - 1.62956i) q^{33} +(3.41666 - 0.602449i) q^{34} +(4.64599 + 6.67607i) q^{35} +(-2.97048 - 0.419827i) 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} +(-2.05347 + 5.95620i) q^{42} +(-2.95931 + 2.07213i) q^{43} +(-1.40416 - 0.511071i) q^{44} +(-3.53395 - 5.70186i) q^{45} +(-1.94735 + 3.37291i) q^{46} +(-5.46752 - 0.478346i) q^{47} +(-1.70036 + 0.329830i) q^{48} +(5.39623 + 3.11551i) q^{49} +(-4.83702 + 1.26621i) q^{50} +(-0.421503 + 5.99432i) q^{51} +(-1.85915 - 2.65514i) q^{52} +(8.38937 + 5.87430i) q^{53} +(1.95213 - 4.81552i) q^{54} +(-1.13373 - 3.14307i) q^{55} +3.63745i q^{56} +(-3.46439 - 6.70805i) q^{57} +(3.30191 + 3.30191i) q^{58} +(-7.15446 - 6.00331i) q^{59} +(-3.00188 - 2.44719i) q^{60} +(-0.00426072 - 0.0241638i) q^{61} +(-7.26707 + 5.08846i) q^{62} +(-9.14724 - 5.95039i) q^{63} +(-0.866025 + 0.500000i) q^{64} +(1.89607 - 6.99543i) q^{65} +(1.44811 - 2.14512i) q^{66} +(-0.0962128 + 1.09972i) q^{67} +(0.897938 + 3.35115i) q^{68} +(-4.85071 - 4.68792i) q^{69} +(-6.24574 + 5.21017i) q^{70} +(5.99409 + 1.05692i) q^{71} +(0.159335 - 2.99577i) q^{72} +(6.61286 + 3.08363i) q^{73} +(5.58426 + 4.68575i) q^{74} +(-0.0978130 - 8.65970i) q^{75} +(-3.15326 - 3.00948i) q^{76} +(-3.84336 - 3.84336i) q^{77} +(5.24204 - 2.00990i) q^{78} +(5.00093 + 13.7399i) q^{79} +(-2.09900 - 0.770839i) q^{80} +(7.27293 + 5.30137i) q^{81} +(3.40937 - 1.58981i) q^{82} +(12.3490 + 3.30890i) q^{83} +(-6.11251 - 1.52654i) q^{84} +(-4.46797 + 6.34190i) q^{85} +(-2.32217 - 2.76745i) q^{86} +(-6.93439 + 4.16294i) q^{87} +(0.386746 - 1.44336i) q^{88} +(9.69825 + 3.52987i) q^{89} +(5.37216 - 4.01745i) q^{90} +(-2.04734 - 11.6111i) q^{91} +(-3.52979 - 1.64597i) q^{92} +(-5.50104 - 14.3474i) 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} +(2.99700 + 3.33371i) 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
$3$	−1.71062	−	0.271617i	−0.987628	−	0.156818i
$3$	−1.71062	−	0.271617i	−0.987628	−	0.156818i
$4$	−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
$6$	0.121493	−	1.72778i	0.0495992	−	0.705365i
$7$	−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
$9$	2.85245	+	0.929267i	0.950816	+	0.309756i
$10$	1.28784	−	1.82797i	0.407249	−	0.578055i
$11$	1.29408	+	0.747136i	0.390179	+	0.225270i	0.682238	−	0.731130i	$-0.261007\pi$
$11$	1.29408	+	0.747136i	0.390179	+	0.225270i	−0.292059	+	0.956400i	$0.594340\pi$
$12$	1.73180	−	0.0295558i	0.499927	−	0.00853204i
$13$	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
$15$	2.53132	+	2.93128i	0.653585	+	0.756853i
$16$	0.939693	−	0.342020i	0.234923	−	0.0855050i
$17$	−0.302375	−	3.45616i	−0.0733368	−	0.838243i	−0.940406	−	0.340055i	$-0.889554\pi$
$17$	−0.302375	−	3.45616i	−0.0733368	−	0.838243i	0.867069	−	0.498188i	$-0.166001\pi$
$18$	−0.677124	+	2.92259i	−0.159600	+	0.688860i
$19$	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
$21$	5.75456	+	2.56478i	1.25575	+	0.559680i
$22$	−0.631507	+	1.35427i	−0.134638	+	0.288731i
$23$	3.19035	+	2.23391i	0.665234	+	0.465802i	0.856780	−	0.515682i	$-0.172461\pi$
$23$	3.19035	+	2.23391i	0.665234	+	0.465802i	−0.191546	+	0.981484i	$0.561350\pi$
$24$	0.180380	+	1.72263i	0.0368198	+	0.351631i
$25$	0.839814	+	4.92897i	0.167963	+	0.985793i
$26$	−2.80707	+	1.62067i	−0.550513	+	0.317839i
$27$	−4.62705	−	2.36440i	−0.890477	−	0.455028i
$28$	3.62361	+	0.317024i	0.684797	+	0.0599120i
$29$	3.57713	−	3.00157i	0.664256	−	0.557377i	−0.247103	−	0.968989i	$-0.579479\pi$
$29$	3.57713	−	3.00157i	0.664256	−	0.557377i	0.911359	+	0.411612i	$0.135034\pi$
$30$	−2.69951	+	2.77717i	−0.492860	+	0.507039i
$31$	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
$33$	−2.01074	−	1.62956i	−0.350025	−	0.283670i
$34$	3.41666	−	0.602449i	0.585952	−	0.103319i
$35$	4.64599	+	6.67607i	0.785315	+	1.12846i
$36$	−2.97048	−	0.419827i	−0.495080	−	0.0699711i
$37$	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	0.797768	−	0.602965i	$-0.206014\pi$
$41$	−1.28662	−	3.53495i	−0.200936	−	0.552067i	−0.998704	+	0.0508976i	$0.983792\pi$
$42$	−2.05347	+	5.95620i	−0.316858	+	0.919062i
$43$	−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
$45$	−3.53395	−	5.70186i	−0.526810	−	0.849983i
$46$	−1.94735	+	3.37291i	−0.287121	+	0.497308i
$47$	−5.46752	−	0.478346i	−0.797520	−	0.0697740i	−0.318891	−	0.947791i	$-0.603311\pi$
$47$	−5.46752	−	0.478346i	−0.797520	−	0.0697740i	−0.478629	+	0.878017i	$0.658866\pi$
$48$	−1.70036	+	0.329830i	−0.245425	+	0.0476069i
$49$	5.39623	+	3.11551i	0.770889	+	0.445073i
$50$	−4.83702	+	1.26621i	−0.684057	+	0.179069i
$51$	−0.421503	+	5.99432i	−0.0590222	+	0.839372i
$52$	−1.85915	−	2.65514i	−0.257818	−	0.368202i
$53$	8.38937	+	5.87430i	1.15237	+	0.806897i	0.983884	−	0.178807i	$-0.0572239\pi$
$53$	8.38937	+	5.87430i	1.15237	+	0.806897i	0.168484	+	0.985704i	$0.446113\pi$
$54$	1.95213	−	4.81552i	0.265651	−	0.655309i
$55$	−1.13373	−	3.14307i	−0.152872	−	0.423812i
$56$			3.63745i			0.486074i
$57$	−3.46439	−	6.70805i	−0.458870	−	0.888503i
$58$	3.30191	+	3.30191i	0.433563	+	0.433563i
$59$	−7.15446	−	6.00331i	−0.931432	−	0.781564i	0.0446422	−	0.999003i	$-0.485785\pi$
$59$	−7.15446	−	6.00331i	−0.931432	−	0.781564i	−0.976074	+	0.217439i	$0.930230\pi$
$60$	−3.00188	−	2.44719i	−0.387541	−	0.315930i
$61$	−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
$63$	−9.14724	−	5.95039i	−1.15244	−	0.749679i
$64$	−0.866025	+	0.500000i	−0.108253	+	0.0625000i
$65$	1.89607	−	6.99543i	0.235178	−	0.867676i
$66$	1.44811	−	2.14512i	0.178250	−	0.264045i
$67$	−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
$69$	−4.85071	−	4.68792i	−0.583957	−	0.564359i
$70$	−6.24574	+	5.21017i	−0.746509	+	0.622734i
$71$	5.99409	+	1.05692i	0.711367	+	0.125433i	0.517611	−	0.855616i	$-0.326822\pi$
$71$	5.99409	+	1.05692i	0.711367	+	0.125433i	0.193757	+	0.981050i	$0.437933\pi$
$72$	0.159335	−	2.99577i	0.0187778	−	0.353054i
$73$	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
$75$	−0.0978130	−	8.65970i	−0.0112945	−	0.999936i
$76$	−3.15326	−	3.00948i	−0.361703	−	0.345211i
$77$	−3.84336	−	3.84336i	−0.437992	−	0.437992i
$78$	5.24204	−	2.00990i	0.593544	−	0.227576i
$79$	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
$81$	7.27293	+	5.30137i	0.808103	+	0.589041i
$82$	3.40937	−	1.58981i	0.376502	−	0.175566i
$83$	12.3490	+	3.30890i	1.35548	+	0.363199i	0.862153	−	0.506647i	$-0.169115\pi$
$83$	12.3490	+	3.30890i	1.35548	+	0.363199i	0.493323	+	0.869846i	$0.335782\pi$
$84$	−6.11251	−	1.52654i	−0.666929	−	0.166559i
$85$	−4.46797	+	6.34190i	−0.484620	+	0.687876i
$86$	−2.32217	−	2.76745i	−0.250406	−	0.298422i
$87$	−6.93439	+	4.16294i	−0.743445	+	0.446314i
$88$	0.386746	−	1.44336i	0.0412273	−	0.153862i
$89$	9.69825	+	3.52987i	1.02801	+	0.374166i	0.800324	−	0.599568i	$-0.204661\pi$
$89$	9.69825	+	3.52987i	1.02801	+	0.374166i	0.227689	+	0.973734i	$0.426883\pi$
$90$	5.37216	−	4.01745i	0.566275	−	0.423477i
$91$	−2.04734	−	11.6111i	−0.214620	−	1.21717i
$92$	−3.52979	−	1.64597i	−0.368007	−	0.171604i
$93$	−5.50104	−	14.3474i	−0.570431	−	1.48775i
$94$		−	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
$99$	2.99700	+	3.33371i	0.301210	+	0.335051i
$100$	−1.68296	−	4.70825i	−0.168296	−	0.470825i
$101$	−2.13927	+	5.87758i	−0.212865	+	0.584841i	−0.999468	−	0.0326176i	$-0.989616\pi$
$101$	−2.13927	+	5.87758i	−0.212865	+	0.584841i	0.786603	+	0.617459i	$0.211838\pi$
$102$	−6.00824	+	0.102540i	−0.594905	+	0.0101530i
$103$	−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
$105$	−6.13419	−	12.6822i	−0.598636	−	1.23765i
$106$	−5.12076	+	8.86942i	−0.497373	+	0.861474i
$107$	4.75092	−	17.7307i	0.459289	−	1.71409i	−0.215874	−	0.976421i	$-0.569260\pi$
$107$	4.75092	−	17.7307i	0.459289	−	1.71409i	0.675163	−	0.737669i	$-0.264073\pi$
$108$	4.96733	+	1.52500i	0.477982	+	0.146743i
$109$	−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
$111$	−10.2177	+	7.41752i	−0.969820	+	0.704040i
$112$	−3.62361	+	0.317024i	−0.342399	+	0.0299560i
$113$	8.48059	−	8.48059i	0.797787	−	0.797787i	−0.184959	−	0.982746i	$-0.559215\pi$
$113$	8.48059	−	8.48059i	0.797787	−	0.797787i	0.982746	+	0.184959i	$0.0592153\pi$
$114$	6.38059	−	4.03586i	0.597597	−	0.377992i
$115$	−2.22973	−	8.41853i	−0.207923	−	0.785032i
$116$	−3.00157	+	3.57713i	−0.278689	+	0.332128i
$117$	1.17756	+	9.65243i	0.108865	+	0.892367i
$118$	5.35691	−	7.65046i	0.493144	−	0.704282i
$119$	−2.19138	+	12.4279i	−0.200883	+	1.13927i
$120$	2.17624	−	3.20374i	0.198663	−	0.292460i
$121$	−4.38358	−	7.59258i	−0.398507	−	0.690234i
$122$	0.0237005	−	0.00635052i	0.00214574	−	0.000574949i
$123$	1.24076	+	6.39643i	0.111876	+	0.576747i
$124$	−5.70246	−	6.79593i	−0.512096	−	0.610292i
$125$	5.67376	−	9.63371i	0.507477	−	0.861665i
$126$	5.13052	−	9.63104i	0.457063	−	0.858002i
$127$	−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
$129$	5.62508	−	2.74083i	0.495261	−	0.241317i
$130$	7.13406	+	1.27916i	0.625699	+	0.112190i
$131$	5.34423	−	6.36900i	0.466927	−	0.556462i	−0.480267	−	0.877122i	$-0.659460\pi$
$131$	5.34423	−	6.36900i	0.466927	−	0.556462i	0.947194	+	0.320660i	$0.103905\pi$
$132$	2.26316	+	1.25564i	0.196983	+	0.109290i
$133$	−5.76885	−	14.7685i	−0.500222	−	1.28060i
$134$	−1.10392			−0.0953639
$135$	4.49653	+	10.7136i	0.387000	+	0.922080i
$136$	−3.26014	+	1.18659i	−0.279555	+	0.101750i
$137$	−10.1342	+	14.4731i	−0.865824	+	1.23652i	0.104454	+	0.994530i	$0.466691\pi$
$137$	−10.1342	+	14.4731i	−0.865824	+	1.23652i	−0.970278	+	0.241995i	$0.922198\pi$
$138$	4.24731	−	5.24083i	0.361555	−	0.446129i
$139$	−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
$141$	9.22294	+	2.30334i	0.776711	+	0.193976i
$142$	−0.530478	+	6.06339i	−0.0445168	+	0.508829i
$143$	−0.422133	+	4.82500i	−0.0353005	+	0.403487i
$144$	2.99825	−	0.102370i	0.249854	−	0.00853080i
$145$	−10.4415	−	0.0301249i	−0.867122	−	0.00250173i
$146$	−2.49554	+	6.85645i	−0.206533	+	0.567444i
$147$	−8.38467	−	6.79517i	−0.691556	−	0.560456i
$148$	−4.18122	+	5.97140i	−0.343694	+	0.490846i
$149$	2.59564	−	0.944737i	0.212643	−	0.0773959i	−0.233502	−	0.972356i	$-0.575019\pi$
$149$	2.59564	−	0.944737i	0.212643	−	0.0773959i	0.446146	+	0.894960i	$0.352796\pi$
$150$	8.61822	−	0.852184i	0.703675	−	0.0695805i
$151$	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
$153$	2.34919	−	10.1395i	0.189921	−	0.819732i
$154$	3.49377	−	4.16371i	0.281536	−	0.335521i
$155$	3.50104	−	19.5258i	0.281210	−	1.56835i
$156$	2.45912	+	5.04692i	0.196887	+	0.404077i
$157$	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
$159$	−12.7555	−	12.3274i	−1.01157	−	0.977626i
$160$	0.584966	−	2.15820i	0.0462456	−	0.170620i
$161$	−9.10622	−	10.8524i	−0.717670	−	0.855286i
$162$	−4.64732	+	7.70730i	−0.365128	+	0.605542i
$163$	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
$165$	1.08566	+	5.68455i	0.0845189	+	0.442541i
$166$	−2.22002	+	12.5904i	−0.172307	+	0.977203i
$167$	−9.79103	+	13.9830i	−0.757653	+	1.08204i	0.236240	+	0.971695i	$0.424085\pi$
$167$	−9.79103	+	13.9830i	−0.757653	+	1.08204i	−0.993893	+	0.110346i	$0.964804\pi$
$168$	0.987992	−	6.22229i	0.0762252	−	0.480060i
$169$	1.60297	−	1.91034i	0.123305	−	0.146950i
$170$	−6.70718	−	3.89824i	−0.514417	−	0.298981i
$171$	4.10424	+	12.4159i	0.313859	+	0.949470i
$172$	2.55453	−	2.55453i	0.194781	−	0.194781i
$173$	−11.0016	+	0.962515i	−0.836436	+	0.0731787i	−0.497321	−	0.867566i	$-0.665683\pi$
$173$	−11.0016	+	0.962515i	−0.836436	+	0.0731787i	−0.339115	+	0.940745i	$0.610127\pi$
$174$	−4.75147	−	6.54518i	−0.360208	−	0.496189i
$175$	1.68964	−	18.1086i	0.127725	−	1.36888i
$176$	1.47157	+	0.259478i	0.110924	+	0.0195589i
$177$	10.6080	+	12.2127i	0.797344	+	0.917959i
$178$	−2.67118	+	9.96900i	−0.200214	+	0.747208i
$179$	1.95063	−	3.37858i	0.145797	−	0.252527i	−0.783873	−	0.620921i	$-0.786759\pi$
$179$	1.95063	−	3.37858i	0.145797	−	0.252527i	0.929670	+	0.368394i	$0.120092\pi$
$180$	4.47038	+	5.00157i	0.333202	+	0.372795i
$181$	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
$183$	0.000725198		0.0424923i	5.36082e−5		0.00314112i
$184$	1.33206	−	3.65982i	0.0982011	−	0.269805i
$185$	−16.2423	+	1.37381i	−1.19416	+	0.101005i
$186$	13.8133	−	6.73056i	1.01284	−	0.493509i
$187$	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	$0.188804\pi$
$191$			15.4503i			1.11794i	−0.829186	+	0.558972i	$0.811196\pi$
$192$	1.61725	−	0.620083i	0.116715	−	0.0447507i
$193$	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
$195$	−5.14353	+	11.4515i	−0.368336	+	0.820061i
$196$	−5.85525	−	2.13114i	−0.418232	−	0.152224i
$197$	−2.85675	+	10.6615i	−0.203535	+	0.759602i	0.786356	+	0.617773i	$0.211965\pi$
$197$	−2.85675	+	10.6615i	−0.203535	+	0.759602i	−0.989891	+	0.141829i	$0.954702\pi$
$198$	−3.05982	+	3.27615i	−0.217452	+	0.232826i
$199$	−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
$201$	0.463285	−	1.85507i	0.0326776	−	0.130846i
$202$	−6.04167	−	1.61886i	−0.425090	−	0.113903i
$203$	−15.3941	+	7.17837i	−1.08045	+	0.503823i
$204$	−0.625803	−	5.97644i	−0.0438150	−	0.418435i
$205$	−2.89976	+	7.89606i	−0.202528	+	0.551485i
$206$	−6.00906	−	16.5098i	−0.418671	−	1.15029i
$207$	7.02441	+	9.33679i	0.488230	+	0.648952i
$208$	2.29197	+	2.29197i	0.158919	+	0.158919i
$209$	0.718862	+	6.47359i	0.0497247	+	0.447788i
$210$	12.0993	−	7.21617i	0.834929	−	0.497963i
$211$	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
$213$	−9.96654	−	3.43608i	−0.682896	−	0.235437i
$214$	18.0773	+	3.18751i	1.23574	+	0.217894i
$215$	8.04532	+	0.727270i	0.548686	+	0.0495994i
$216$	−1.08626	+	5.08134i	−0.0739108	+	0.345742i
$217$	−8.35195	−	31.1699i	−0.566967	−	2.11595i
$218$	0.117401	−	1.34190i	0.00795142	−	0.0908851i
$219$	−10.4745	−	7.07108i	−0.707803	−	0.477820i
$220$	1.66229	+	2.89845i	0.112072	+	0.195414i
$221$	9.73877	−	5.62268i	0.655101	−	0.378223i
$222$	−8.27983	−	9.53233i	−0.555706	−	0.639768i
$223$	−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
$225$	−2.18480	+	14.8400i	−0.145653	+	0.989336i
$226$	9.18745	+	7.70919i	0.611140	+	0.512808i
$227$	0.603767	+	0.603767i	0.0400734	+	0.0400734i	0.726860	−	0.686786i	$-0.240979\pi$
$227$	0.603767	+	0.603767i	0.0400734	+	0.0400734i	−0.686786	+	0.726860i	$0.740979\pi$
$228$	4.57660	+	6.00456i	0.303093	+	0.397662i
$229$		−	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
$231$	5.53062	+	7.61846i	0.363888	+	0.501258i
$232$	−3.82512	−	2.67838i	−0.251132	−	0.175844i
$233$	7.48734	+	10.6930i	0.490512	+	0.700524i	0.985747	−	0.168235i	$-0.0538068\pi$
$233$	7.48734	+	10.6930i	0.490512	+	0.700524i	−0.495235	+	0.868759i	$0.664918\pi$
$234$	−9.51307	+	2.01434i	−0.621889	+	0.131682i
$235$	8.65286	+	8.70294i	0.564451	+	0.567717i
$236$	8.08823	+	4.66974i	0.526499	+	0.303974i
$237$	−4.82270	−	24.8622i	−0.313268	−	1.61497i
$238$	−12.5716	−	1.09987i	−0.814897	−	0.0712942i
$239$	−5.56236	+	9.63428i	−0.359799	+	0.623190i	−0.987927	−	0.154920i	$-0.950488\pi$
$239$	−5.56236	+	9.63428i	−0.359799	+	0.623190i	0.628128	+	0.778110i	$0.283821\pi$
$240$	3.38122	+	1.88874i	0.218257	+	0.121918i
$241$	−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
$243$	−11.0013	−	11.0441i	−0.705732	−	0.708479i
$244$	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
$249$	−20.2257	−	9.01446i	−1.28175	−	0.571268i
$250$	10.0916	+	4.81254i	0.638246	+	0.304372i
$251$	7.86219	−	1.38632i	0.496257	−	0.0875035i	0.0800826	−	0.996788i	$-0.474482\pi$
$251$	7.86219	−	1.38632i	0.496257	−	0.0875035i	0.416175	+	0.909285i	$0.363370\pi$
$252$	10.0415	+	4.27159i	0.632558	+	0.269085i
$253$	2.45953	+	5.27447i	0.154629	+	0.331603i
$254$	−2.95955	−	5.12609i	−0.185699	−	0.321640i
$255$	9.36558	−	9.63502i	0.586495	−	0.603368i
$256$	0.766044	−	0.642788i	0.0478778	−	0.0401742i
$257$	25.6562	+	2.24463i	1.60039	+	0.140016i	0.852108	−	0.523366i	$-0.175324\pi$
$257$	25.6562	+	2.24463i	1.60039	+	0.140016i	0.748281	+	0.663382i	$0.230879\pi$
$258$	3.22066	+	5.36480i	0.200509	+	0.333998i
$259$	−22.9636	+	13.2580i	−1.42689	+	0.823813i
$260$	−0.652519	+	7.21840i	−0.0404675	+	0.447666i
$261$	12.9928	−	5.23771i	0.804237	−	0.324206i
$262$	6.81055	+	4.76880i	0.420757	+	0.294617i
$263$	−11.2736	+	24.1763i	−0.695161	+	1.49078i	0.167967	+	0.985793i	$0.446280\pi$
$263$	−11.2736	+	24.1763i	−0.695161	+	1.49078i	−0.863128	+	0.504985i	$0.831498\pi$
$264$	−1.05362	+	2.36399i	−0.0648456	+	0.145493i
$265$	−5.86331	−	22.1374i	−0.360180	−	1.35989i
$266$	14.2096	−	7.03406i	0.871244	−	0.431286i
$267$	−15.6313	−	8.67249i	−0.956618	−	0.530748i
$268$	−0.0962128	−	1.09972i	−0.00587713	−	0.0671759i
$269$	−29.8393	+	10.8606i	−1.81933	+	0.662183i	−0.823899	+	0.566737i	$0.808206\pi$
$269$	−29.8393	+	10.8606i	−1.81933	+	0.662183i	−0.995435	+	0.0954466i	$0.969572\pi$
$270$	−10.2809	+	5.41317i	−0.625678	+	0.329435i
$271$	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
$273$	0.348468	+	20.4182i	0.0210903	+	1.23577i
$274$	−15.3013	−	8.83423i	−0.924387	−	0.533695i
$275$	−2.59582	+	7.00592i	−0.156534	+	0.422473i
$276$	5.59107	+	3.77438i	0.336543	+	0.227191i
$277$	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
$279$	5.51321	+	26.0371i	0.330067	+	1.55880i
$280$	5.24612	−	6.21557i	0.313516	−	0.371452i
$281$	2.01999	−	0.356179i	0.120503	−	0.0212479i	−0.113072	−	0.993587i	$-0.536069\pi$
$281$	2.01999	−	0.356179i	0.120503	−	0.0212479i	0.233574	+	0.972339i	$0.424958\pi$
$282$	−1.49074	+	9.38859i	−0.0887725	+	0.559082i
$283$	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
$285$	−3.75485	+	16.4591i	−0.222418	+	0.974951i
$286$	−4.84343			−0.286398
$287$	1.19259	+	13.6314i	0.0703963	+	0.804633i
$288$	0.363295	+	2.97792i	0.0214074	+	0.175476i
$289$	4.88809	−	0.861902i	0.287535	−	0.0507001i
$290$	−0.880029	−	10.4044i	−0.0516771	−	0.610969i
$291$	2.71862	+	0.191166i	0.159368	+	0.0112063i
$292$	−7.04786	−	1.88847i	−0.412445	−	0.110514i
$293$	−6.33646	−	23.6480i	−0.370180	−	1.38153i	−0.860261	−	0.509853i	$-0.829700\pi$
$293$	−6.33646	−	23.6480i	−0.370180	−	1.38153i	0.490081	−	0.871677i	$-0.336967\pi$
$294$	6.03854	−	8.94500i	0.352175	−	0.521683i
$295$	3.56707	+	20.5768i	0.207683	+	1.19803i
$296$	−6.31310	−	3.64487i	−0.366941	−	0.211854i
$297$	−4.22124	−	6.51675i	−0.244941	−	0.378140i
$298$	1.16737	+	2.50343i	0.0676238	+	0.145020i
$299$	−2.19213	+	12.4322i	−0.126774	+	0.718973i
$300$	1.60007	+	8.51116i	0.0923800	+	0.491392i
$301$	12.3483	−	4.49442i	0.711746	−	0.259054i
$302$	1.08660	+	12.4198i	0.0625266	+	0.714682i
$303$	5.25592	−	9.47326i	0.301945	−	0.544224i
$304$	3.62794	+	2.41620i	0.208077	+	0.138579i
$305$	−0.0275696	+	0.0474354i	−0.00157863	+	0.00271615i
$306$	10.3057	+	1.45653i	0.589137	+	0.0832645i
$307$	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
$309$	30.2655	−	3.16915i	1.72174	−	0.180287i
$310$	19.7566	+	1.78593i	1.12210	+	0.101434i
$311$	−29.6444	+	17.1152i	−1.68098	+	0.970513i	−0.719964	+	0.694012i	$0.755842\pi$
$311$	−29.6444	+	17.1152i	−1.68098	+	0.970513i	−0.961014	+	0.276501i	$0.910825\pi$
$312$	−4.81339	+	2.88963i	−0.272504	+	0.163593i
$313$	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
$315$	7.04859	+	23.3605i	0.397143	+	1.31622i
$316$	−7.31087	−	12.6628i	−0.411269	−	0.712338i
$317$	−14.3403	−	30.7528i	−0.805430	−	1.72725i	−0.677571	−	0.735457i	$-0.736968\pi$
$317$	−14.3403	−	30.7528i	−0.805430	−	1.72725i	−0.127858	−	0.991792i	$-0.540810\pi$
$318$	11.1688	−	13.7813i	0.626314	−	0.772819i
$319$	6.87166	−	1.21166i	0.384739	−	0.0678399i
$320$	2.20097	+	0.394641i	0.123038	+	0.0220611i
$321$	−12.9430	+	29.0401i	−0.722407	+	1.62086i
$322$	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
$327$	2.20572	+	0.760447i	0.121976	+	0.0420528i
$328$	−3.08150	+	2.15769i	−0.170147	+	0.119139i
$329$	18.7598	+	6.82802i	1.03426	+	0.376441i
$330$	−5.56829	+	1.57697i	−0.306524	+	0.0868096i
$331$	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
$333$	19.4933	−	9.91327i	1.06823	−	0.543244i
$334$	−14.7832	−	8.53507i	−0.808900	−	0.467018i
$335$	1.75048	−	1.74040i	0.0956387	−	0.0950884i
$336$	6.28473	+	0.441924i	0.342860	+	0.0241089i
$337$	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
$339$	−16.8105	+	12.2036i	−0.913024	+	0.662809i
$340$	3.29883	−	7.02141i	0.178904	−	0.380790i
$341$			13.2564i			0.717872i
$342$	−12.0110	+	5.17074i	−0.649479	+	0.279602i
$343$	1.97785	+	1.97785i	0.106794	+	0.106794i
$344$	2.76745	+	2.32217i	0.149211	+	0.125203i
$345$	1.52760	+	15.0065i	0.0822433	+	0.807925i
$346$	−1.91771	−	10.8758i	−0.103096	−	0.584689i
$347$	6.27006	−	4.39035i	0.336595	−	0.235686i	−0.393043	−	0.919520i	$-0.628578\pi$
$347$	6.27006	−	4.39035i	0.336595	−	0.235686i	0.729638	+	0.683834i	$0.239689\pi$
$348$	6.10616	−	5.30384i	0.327324	−	0.284316i
$349$	−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
$351$	0.607405	−	16.8315i	0.0324209	−	0.898399i
$352$	−0.130234	+	1.48859i	−0.00694152	+	0.0793419i
$353$	4.19379	+	15.6514i	0.223213	+	0.833042i	0.983113	+	0.183002i	$0.0585814\pi$
$353$	4.19379	+	15.6514i	0.223213	+	0.833042i	−0.759900	+	0.650040i	$0.774752\pi$
$354$	−11.2416	+	11.6320i	−0.597486	+	0.618234i
$355$	−8.71819	−	10.4510i	−0.462714	−	0.554683i
$356$	−10.1639	−	1.79216i	−0.538684	−	0.0949845i
$357$	7.12425	−	20.6642i	0.377055	−	1.09367i
$358$	3.53574	+	1.64874i	0.186869	+	0.0871387i
$359$	3.20464	+	2.68902i	0.169135	+	0.141921i	0.723426	−	0.690402i	$-0.242566\pi$
$359$	3.20464	+	2.68902i	0.169135	+	0.141921i	−0.554291	+	0.832323i	$0.687011\pi$
$360$	−4.59292	+	4.88928i	−0.242068	+	0.257688i
$361$	−5.65869	+	18.1378i	−0.297826	+	0.954620i
$362$	6.62458	+	6.62458i	0.348180	+	0.348180i
$363$	5.43637	+	14.1787i	0.285335	+	0.744187i
$364$	4.03248	+	11.0791i	0.211359	+	0.580704i
$365$	−6.85251	−	14.8066i	−0.358677	−	0.775015i
$366$	−0.0422674	+	0.00442589i	−0.00220935	+	0.000231345i
$367$	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
$369$	−0.385096	−	11.2789i	−0.0200473	−	0.587155i
$370$	−2.78420	−	16.0608i	−0.144744	−	0.834962i
$371$	−23.9458	−	28.5375i	−1.24320	−	1.48159i
$372$	7.90886	+	13.1741i	0.410055	+	0.683047i
$373$	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
$375$	−12.3223	+	14.9385i	−0.636323	+	0.771423i
$376$	0.953052	+	5.40503i	0.0491499	+	0.278743i
$377$	13.7177	+	6.39665i	0.706495	+	0.329444i
$378$	−11.3923	+	15.0815i	−0.585958	+	0.775710i
$379$		−	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	$-0.524189\pi$
$383$	14.4178	−	30.9190i	0.736714	−	1.57989i	0.812634	−	0.582774i	$-0.198033\pi$
$384$	0.758676	+	1.55705i	0.0387160	+	0.0794580i
$385$	1.02434	+	12.1105i	0.0522050	+	0.617210i
$386$	−5.86734	+	16.1204i	−0.298640	+	0.820506i
$387$	−10.3668	+	3.16066i	−0.526976	+	0.160665i
$388$	1.51986	−	0.407245i	0.0771591	−	0.0206747i
$389$	20.3936	−	17.1123i	1.03400	−	0.867628i	0.0426773	−	0.999089i	$-0.486411\pi$
$389$	20.3936	−	17.1123i	1.03400	−	0.867628i	0.991321	+	0.131461i	$0.0419668\pi$
$390$	−11.8562	−	4.12589i	−0.600364	−	0.208923i
$391$	6.75607	−	11.7019i	0.341669	−	0.591788i
$392$	1.61271	−	6.01871i	0.0814540	−	0.303991i
$393$	−10.8719	+	9.44337i	−0.548414	+	0.476355i
$394$	−10.8699	−	1.91666i	−0.547620	−	0.0965601i
$395$	11.2710	−	30.6911i	0.567106	−	1.54423i
$396$	−3.53036	−	2.76264i	−0.177407	−	0.138828i
$397$	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
$399$	5.85693	+	26.8303i	0.293213	+	1.34319i
$400$	2.47497	+	4.34448i	0.123749	+	0.217224i
$401$	−7.68434	+	9.15784i	−0.383738	+	0.457321i	−0.922990	−	0.384823i	$-0.874262\pi$
$401$	−7.68434	+	9.15784i	−0.383738	+	0.457321i	0.539253	+	0.842144i	$0.318707\pi$
$402$	1.88838	+	0.299843i	0.0941841	+	0.0149548i
$403$	−16.4934	+	23.5550i	−0.821593	+	1.17336i
$404$	1.08613	−	6.15977i	0.0540372	−	0.306460i
$405$	−4.78186	−	19.5482i	−0.237613	−	0.971360i
$406$	−8.49273	−	14.7098i	−0.421487	−	0.730038i
$407$	10.5217	−	2.81928i	0.521540	−	0.139746i
$408$	5.89916	−	1.14430i	0.292052	−	0.0566514i
$409$	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
$411$	21.2669	−	22.0054i	1.04902	−	1.08545i
$412$	15.9232	−	7.42512i	0.784481	−	0.365809i
$413$	19.4855	+	27.8281i	0.958818	+	1.36933i
$414$	−8.68904	+	7.81144i	−0.427043	+	0.383911i
$415$	−16.3293	−	23.4645i	−0.801576	−	1.15183i
$416$	−2.08349	+	2.48300i	−0.102151	+	0.121739i
$417$	1.65805	−	2.98846i	0.0811950	−	0.146346i
$418$	−6.38630	+	1.28034i	−0.312364	+	0.0626233i
$419$	11.0863			0.541602			0.270801	−	0.962635i	$-0.412711\pi$
$419$	11.0863			0.541602			0.270801	+	0.962635i	$0.412711\pi$
$420$	8.24323	+	11.4243i	0.402229	+	0.557448i
$421$	−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
$423$	−15.1513	−	6.44525i	−0.736682	−	0.313379i
$424$	3.50281	−	9.62389i	0.170111	−	0.467377i
$425$	16.7814	−	4.39293i	0.814017	−	0.213089i
$426$	2.55437	−	10.2281i	0.123760	−	0.495552i
$427$	−0.00777868	+	0.0889107i	−0.000376437	+	0.00430269i
$428$	−1.59984	+	18.2863i	−0.0773314	+	0.883902i
$429$	2.03266	−	8.13909i	0.0981377	−	0.392959i
$430$	−0.0233061	+	8.07809i	−0.00112392	+	0.389560i
$431$	−1.66515	+	4.57496i	−0.0802075	+	0.220368i	−0.973314	−	0.229477i	$-0.926299\pi$
$431$	−1.66515	+	4.57496i	−0.0802075	+	0.220368i	0.893107	+	0.449845i	$0.148521\pi$
$432$	−5.15668	−	0.639261i	−0.248101	−	0.0307564i
$433$	−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
$435$	17.8533	+	2.88763i	0.856001	+	0.138451i
$436$	1.34703			0.0645110
$437$	0.395957	+	16.9720i	0.0189412	+	0.811880i
$438$	6.13126	−	11.0510i	0.292963	−	0.528035i
$439$	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
$441$	12.4973	+	13.9014i	0.595110	+	0.661970i
$442$	6.45008	+	9.21166i	0.306799	+	0.438154i
$443$	−0.435266	+	0.202968i	−0.0206801	+	0.00964328i	−0.432931	−	0.901427i	$-0.642521\pi$
$443$	−0.435266	+	0.202968i	−0.0206801	+	0.00964328i	0.412251	+	0.911070i	$0.364743\pi$
$444$	8.77442	−	9.07912i	0.416415	−	0.430876i
$445$	−11.4811	−	20.0191i	−0.544258	−	0.948996i
$446$	−9.35053	−	11.1435i	−0.442760	−	0.527661i
$447$	−4.69677	+	0.911067i	−0.222150	+	0.0430920i
$448$	3.51350	−	0.941441i	0.165997	−	0.0444789i
$449$	−3.62660	−	6.28146i	−0.171150	−	0.296440i	0.767672	−	0.640843i	$-0.221415\pi$
$449$	−3.62660	−	6.28146i	−0.171150	−	0.296440i	−0.938822	+	0.344402i	$0.888082\pi$
$450$	−14.9740	−	0.883092i	−0.705880	−	0.0416293i
$451$	0.976108	−	5.53578i	0.0459631	−	0.260670i
$452$	−6.87911	+	9.82439i	−0.323566	+	0.462100i
$453$	−21.3268	−	3.38633i	−1.00202	−	0.159103i
$454$	−0.548848	+	0.654091i	−0.0257587	+	0.0306980i
$455$	−13.2476	+	22.7934i	−0.621058	+	1.06857i
$456$	−5.58283	+	5.08252i	−0.261440	+	0.238011i
$457$	−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
$459$	−6.77264	+	16.7068i	−0.316120	+	0.779806i
$460$	3.65771	+	7.90345i	0.170542	+	0.368500i
$461$	−9.58175	−	1.68952i	−0.446266	−	0.0786888i	−0.0540010	−	0.998541i	$-0.517197\pi$
$461$	−9.58175	−	1.68952i	−0.446266	−	0.0786888i	−0.392265	+	0.919852i	$0.628309\pi$
$462$	−7.10744	+	6.17356i	−0.330668	+	0.287220i
$463$	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
$465$	−11.2925	+	32.4503i	−0.523676	+	1.50485i
$466$	−9.99978	+	8.39081i	−0.463231	+	0.388697i
$467$	36.6306	−	9.81513i	1.69506	−	0.454190i	0.723372	−	0.690458i	$-0.242591\pi$
$467$	36.6306	−	9.81513i	1.69506	−	0.454190i	0.971688	+	0.236268i	$0.0759245\pi$
$468$	−2.83580	−	9.30130i	−0.131085	−	0.429953i
$469$	1.37336	−	3.77328i	0.0634160	−	0.174234i
$470$	−7.91567	+	9.37845i	−0.365123	+	0.432596i
$471$	−17.0214	−	34.9334i	−0.784303	−	1.60965i
$472$	−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
$477$	18.4714	+	24.5521i	0.845749	+	1.12416i
$478$	−10.0824	−	4.70151i	−0.461159	−	0.215042i
$479$	−4.64278	−	26.3305i	−0.212134	−	1.20307i	−0.885811	−	0.464046i	$-0.846397\pi$
$479$	−4.64278	−	26.3305i	−0.212134	−	1.20307i	0.673677	−	0.739026i	$-0.264714\pi$
$480$	−1.58686	+	3.53297i	−0.0724298	+	0.161257i
$481$	22.2035	+	8.08140i	1.01239	+	0.368480i
$482$	5.10465	−	19.0508i	0.232510	−	0.867741i
$483$	12.6296	+	21.0377i	0.574667	+	0.957248i
$484$	5.63542	+	6.71603i	0.256155	+	0.305274i
$485$	2.87626	+	2.02637i	0.130604	+	0.0920129i
$486$	10.0432	−	11.9220i	0.455571	−	0.540792i
$487$	−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
$489$	−10.1052	+	1.05813i	−0.456972	+	0.0478502i
$490$	12.6445	−	5.85188i	0.571221	−	0.264361i
$491$	−3.37900	−	9.28372i	−0.152492	−	0.418969i	0.839799	−	0.542897i	$-0.182673\pi$
$491$	−3.37900	−	9.28372i	−0.152492	−	0.418969i	−0.992291	+	0.123929i	$0.960451\pi$
$492$	−2.33264	−	6.08380i	−0.105164	−	0.274279i
$493$	−11.4556	−	11.4556i	−0.515932	−	0.515932i
$494$	−12.9407	−	5.67074i	−0.582228	−	0.255138i
$495$	−0.313142	−	10.0190i	−0.0140747	−	0.450320i
$496$	6.79593	+	5.70246i	0.305146	+	0.256048i
$497$	−20.0652	−	9.35657i	−0.900048	−	0.419699i
$498$	7.21738	−	20.9344i	0.323418	−	0.938092i
$499$	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
$501$	20.5468	−	21.2603i	0.917962	−	0.949839i
$502$	2.06628	+	7.71145i	0.0922224	+	0.344179i
$503$	−0.974289	+	11.1362i	−0.0434414	+	0.496537i	0.943042	+	0.332675i	$0.107951\pi$
$503$	−0.974289	+	11.1362i	−0.0434414	+	0.496537i	−0.986483	+	0.163863i	$0.947605\pi$
$504$	−3.38016	+	10.3756i	−0.150564	+	0.462167i
$505$	12.1325	−	6.95810i	0.539888	−	0.309631i
$506$	−5.04004	+	2.90987i	−0.224057	+	0.129359i
$507$	−3.26095	+	2.83248i	−0.144824	+	0.125795i
$508$	4.84865	−	3.39506i	0.215124	−	0.150631i
$509$	2.57318	+	14.5933i	0.114054	+	0.646835i	0.987214	+	0.159400i	$0.0509560\pi$
$509$	2.57318	+	14.5933i	0.114054	+	0.646835i	−0.873160	+	0.487434i	$0.837933\pi$
$510$	10.4146	+	8.49019i	0.461167	+	0.375952i
$511$	−20.3313	−	17.0600i	−0.899402	−	0.754688i
$512$	0.707107	+	0.707107i	0.0312500	+	0.0312500i
$513$	−3.64843	−	22.3537i	−0.161082	−	0.986941i
$514$			25.7542i			1.13597i
$515$	35.5574	+	16.7057i	1.56684	+	0.736142i
$516$	−5.06368	+	3.67598i	−0.222916	+	0.161826i
$517$	−6.71801	−	4.70400i	−0.295458	−	0.206882i
$518$	−15.2090	−	21.7207i	−0.668244	−	0.954351i
$519$	19.0810	+	1.34172i	0.837563	+	0.0588950i
$520$	−7.24781	−	0.0209107i	−0.317837	−	0.000916993i
$521$	−21.2065	−	12.2436i	−0.929076	−	0.536402i	−0.0425565	−	0.999094i	$-0.513550\pi$
$521$	−21.2065	−	12.2436i	−0.929076	−	0.536402i	−0.886519	+	0.462692i	$0.846884\pi$
$522$	6.35018	+	12.4869i	0.277940	+	0.546537i
$523$	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
$525$	−7.80893	+	30.5180i	−0.340810	+	1.33191i
$526$	−25.0669	−	9.12361i	−1.09297	−	0.397808i
$527$	25.2121	−	17.6537i	1.09826	−	0.769008i
$528$	−2.44682	−	0.843571i	−0.106484	−	0.0367117i
$529$	−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
$534$	7.27713	−	16.3276i	0.314912	−	0.706566i
$535$	−33.6904	+	23.4457i	−1.45656	+	1.01365i
$536$	1.08715	−	0.191693i	0.0469576	−	0.00827989i
$537$	−4.25446	+	5.24966i	−0.183594	+	0.226539i
$538$	−13.4200	−	28.7792i	−0.578575	−	1.24076i
$539$	4.65542	+	8.06343i	0.200523	+	0.347316i
$540$	−6.28861	−	9.77002i	−0.270619	−	0.420435i
$541$	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
$543$	−13.9124	+	8.35204i	−0.597037	+	0.358420i
$544$	3.00456	−	1.73468i	0.128819	−	0.0743739i
$545$	1.92944	+	2.31294i	0.0826482	+	0.0990754i
$546$	−20.3101	+	2.12671i	−0.869193	+	0.0910146i
$547$	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
$549$	0.0103011	−	0.0728853i	0.000439640	−	0.00311067i
$550$	−7.20550	−	1.97534i	−0.307244	−	0.0842288i
$551$	19.7783	+	4.80810i	0.842585	+	0.204832i
$552$	−3.27273	+	5.89875i	−0.139296	+	0.251068i
$553$	−4.63545	−	52.9834i	−0.197119	−	2.25308i
$554$	−30.3436	+	11.0442i	−1.28917	+	0.469221i
$555$	28.1577	+	2.06162i	1.19523	+	0.0875109i
$556$	0.342635	−	1.94318i	0.0145310	−	0.0824091i
$557$	−3.04569	−	6.53151i	−0.129050	−	0.276749i	0.831157	−	0.556038i	$-0.187679\pi$
$557$	−3.04569	−	6.53151i	−0.129050	−	0.276749i	−0.960207	+	0.279289i	$0.909901\pi$
$558$	−25.4575	+	7.76151i	−1.07770	+	0.328571i
$559$	−10.1410	−	5.85489i	−0.428917	−	0.247636i
$560$	6.64915	+	4.68443i	0.280978	+	0.197953i
$561$	−5.02403	+	7.44219i	−0.212115	+	0.314210i
$562$	0.530878	+	1.98126i	0.0223937	+	0.0835746i
$563$	−27.4965	−	7.36766i	−1.15884	−	0.310510i	−0.372337	−	0.928098i	$-0.621443\pi$
$563$	−27.4965	−	7.36766i	−1.15884	−	0.310510i	−0.786502	+	0.617588i	$0.788110\pi$
$564$	−9.48279	−	0.666802i	−0.399297	−	0.0280774i
$565$	−26.7226	+	2.26025i	−1.12423	+	0.0950896i
$566$	−4.09318	+	0.721738i	−0.172049	+	0.0303369i
$567$	−20.5625	−	25.4734i	−0.863545	−	1.06978i
$568$	−0.530478	−	6.06339i	−0.0222584	−	0.254414i
$569$	−26.5691			−1.11383			−0.556916	−	0.830568i	$-0.688016\pi$
$569$	−26.5691			−1.11383			−0.556916	+	0.830568i	$0.688016\pi$
$570$	−16.7237	−	2.30605i	−0.700479	−	0.0965900i
$571$	−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
$573$	4.19656	−	26.4296i	0.175314	−	1.10411i
$574$	−13.4755	+	2.37610i	−0.562458	+	0.0991765i
$575$	−8.33155	+	17.6012i	−0.347450	+	0.734020i
$576$	−2.93493	+	0.621455i	−0.122289	+	0.0258940i
$577$	−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
$579$	−24.6270	−	16.6250i	−1.02346	−	0.690912i
$580$	10.2881	−	1.78348i	0.427191	−	0.0740552i
$581$	−40.2731	−	23.2517i	−1.67081	−	0.964642i
$582$	0.0465053	+	2.72494i	0.00192771	+	0.112952i
$583$	6.46759	+	13.8698i	0.267860	+	0.574428i
$584$	1.26702	−	7.18563i	0.0524297	−	0.297344i
$585$	11.9091	−	18.1922i	0.492379	−	0.752153i
$586$	23.0057	−	8.37340i	0.950358	−	0.345902i
$587$	−1.41698	−	16.1961i	−0.0584848	−	0.668485i	−0.967691	−	0.252139i	$-0.918866\pi$
$587$	−1.41698	−	16.1961i	−0.0584848	−	0.668485i	0.909206	−	0.416346i	$-0.136689\pi$
$588$	9.43726	+	5.23595i	0.389186	+	0.215927i
$589$	−15.5207	+	35.4183i	−0.639519	+	1.45939i
$590$	−20.1876	+	5.34689i	−0.831112	+	0.220128i
$591$	7.78266	−	17.4619i	0.320136	−	0.718286i
$592$	3.08078	−	6.60674i	0.126619	−	0.271536i
$593$	−4.97308	−	3.48219i	−0.204220	−	0.142996i	0.466993	−	0.884261i	$-0.345337\pi$
$593$	−4.97308	−	3.48219i	−0.204220	−	0.142996i	−0.671213	+	0.741265i	$0.734226\pi$
$594$	6.12405	−	4.77315i	0.251273	−	0.195845i
$595$	21.6688	−	18.0760i	0.888333	−	0.741043i
$596$	−2.39216	+	1.38111i	−0.0979866	+	0.0565726i
$597$	0.632338	+	1.05331i	0.0258799	+	0.0431093i
$598$	−12.5760	−	1.10025i	−0.514269	−	0.0449927i
$599$	−1.29900	+	1.08999i	−0.0530757	+	0.0445358i	−0.668940	−	0.743317i	$-0.733252\pi$
$599$	−1.29900	+	1.08999i	−0.0530757	+	0.0445358i	0.615864	+	0.787853i	$0.288807\pi$
$600$	−8.33931	+	2.33578i	−0.340451	+	0.0953576i
$601$	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
$603$	−1.29637	+	3.04748i	−0.0527924	+	0.124103i
$604$	−12.2779	+	2.16492i	−0.499580	+	0.0880894i
$605$	−3.45988	+	19.2962i	−0.140664	+	0.784503i
$606$	9.89529	+	4.41027i	0.401969	+	0.179155i
$607$	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
$612$	−0.552791	+	10.3934i	−0.0223453	+	0.420129i
$613$	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
$615$	7.10509	−	12.7195i	0.286505	−	0.512902i
$616$	−2.71767	+	4.70714i	−0.109498	+	0.189656i
$617$	−3.46738	−	0.303356i	−0.139591	−	0.0122127i	0.0171459	−	0.999853i	$-0.494542\pi$
$617$	−3.46738	−	0.303356i	−0.139591	−	0.0122127i	−0.156737	+	0.987640i	$0.550098\pi$
$618$	5.79490	+	29.8741i	0.233105	+	1.20171i
$619$	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
$621$	−9.48008	−	17.8797i	−0.380422	−	0.717486i
$622$	−19.6337	−	28.0399i	−0.787241	−	1.12430i
$623$	−30.7517	−	21.5326i	−1.23204	−	0.862684i
$624$	−3.29815	−	4.54322i	−0.132032	−	0.181874i
$625$	−23.5894	+	8.27883i	−0.943577	+	0.331153i
$626$			1.11198i			0.0444438i
$627$	0.528635	−	11.2691i	0.0211117	−	0.450045i
$628$	−15.8644	−	15.8644i	−0.633058	−	0.633058i
$629$	−19.3739	−	16.2566i	−0.772486	−	0.648193i
$630$	−22.6573	+	9.05777i	−0.902688	+	0.360870i
$631$	−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
$633$	−3.64076	−	4.19151i	−0.144707	−	0.166597i
$634$	29.3859	−	16.9660i	1.16706	−	0.673805i
$635$	12.7746	+	3.46247i	0.506944	+	0.137404i
$636$	14.7023	+	9.92515i	0.582985	+	0.393558i
$637$	−1.76027	+	20.1200i	−0.0697444	+	0.797182i
$638$	1.80595	+	6.73991i	0.0714984	+	0.266836i
$639$	16.1157	+	8.58492i	0.637526	+	0.339614i
$640$	−0.201312	+	2.22699i	−0.00795756	+	0.0880294i
$641$	10.5022	+	1.85183i	0.414813	+	0.0731427i	0.377160	−	0.926148i	$-0.376901\pi$
$641$	10.5022	+	1.85183i	0.414813	+	0.0731427i	0.0376530	+	0.999291i	$0.488012\pi$
$642$	−30.0576	−	10.3627i	−1.18628	−	0.408984i
$643$	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
$645$	−13.5650	−	3.42933i	−0.534120	−	0.135030i
$646$	10.9398	+	10.4410i	0.430421	+	0.410795i
$647$	25.9675	+	25.9675i	1.02089	+	1.02089i	0.999777	+	0.0211120i	$0.00672066\pi$
$647$	25.9675	+	25.9675i	1.02089	+	1.02089i	0.0211120	+	0.999777i	$0.493279\pi$
$648$	3.23836	−	8.39720i	0.127215	−	0.329873i
$649$	−4.77314	−	13.1141i	−0.187362	−	0.514774i
$650$	−10.3456	−	12.4749i	−0.405789	−	0.489307i
$651$	5.82075	+	55.5884i	0.228133	+	2.17868i
$652$	−5.31651	+	2.47913i	−0.208211	+	0.0970902i
$653$	36.1629	+	9.68983i	1.41517	+	0.379192i	0.883766	−	0.467929i	$-0.155000\pi$
$653$	36.1629	+	9.68983i	1.41517	+	0.379192i	0.531399	+	0.847122i	$0.321666\pi$
$654$	−0.565313	+	2.26360i	−0.0221055	+	0.0885137i
$655$	−18.3178	+	3.17546i	−0.715735	+	0.124075i
$656$	−2.41805	−	2.88172i	−0.0944090	−	0.112512i
$657$	15.9973	+	14.9410i	0.624115	+	0.582904i
$658$	−5.16701	+	19.2836i	−0.201431	+	0.751751i
$659$	−11.4918	−	4.18266i	−0.447655	−	0.162933i	0.108349	−	0.994113i	$-0.465444\pi$
$659$	−11.4918	−	4.18266i	−0.447655	−	0.162933i	−0.556004	+	0.831180i	$0.687666\pi$
$660$	−2.05628	−	5.40966i	−0.0800407	−	0.210571i
$661$	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
$663$	−18.1866	+	6.97306i	−0.706308	+	0.270811i
$664$		−	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
$669$	22.6502	−	11.0363i	0.875707	−	0.426690i
$670$	1.88635	+	1.59213i	0.0728759	+	0.0615093i
$671$	0.0125399	−	0.0344531i	0.000484098	−	0.00133005i
$672$	0.107508	+	6.29933i	0.00414720	+	0.243002i
$673$	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
$675$	7.76817	−	24.7922i	0.298997	−	0.954254i
$676$	−1.24689	+	2.15967i	−0.0479572	+	0.0830644i
$677$	2.88761	−	10.7767i	0.110980	−	0.414183i	−0.887975	−	0.459892i	$-0.847888\pi$
$677$	2.88761	−	10.7767i	0.110980	−	0.414183i	0.998955	+	0.0457090i	$0.0145547\pi$
$678$	−13.6223	−	15.6830i	−0.523161	−	0.602301i
$679$	5.63647	+	0.993862i	0.216308	+	0.0381409i
$680$	7.28221	+	2.67432i	0.279260	+	0.102556i
$681$	−0.868823	−	1.19681i	−0.0332934	−	0.0458619i
$682$	−13.2059	+	1.15537i	−0.505681	+	0.0442413i
$683$	12.7588	−	12.7588i	0.488200	−	0.488200i	−0.419538	−	0.907738i	$-0.637808\pi$
$683$	12.7588	−	12.7588i	0.488200	−	0.488200i	0.907738	+	0.419538i	$0.137808\pi$
$684$	−6.19789	−	11.5146i	−0.236982	−	0.440272i
$685$	38.1910	−	10.1152i	1.45920	−	0.386484i
$686$	−1.79795	+	2.14271i	−0.0686459	+	0.0818090i
$687$	−5.14748	+	32.4184i	−0.196388	+	1.23684i
$688$	−2.07213	+	2.95931i	−0.0789992	+	0.112823i
$689$	−5.76445	+	32.6918i	−0.219608	+	1.24546i
$690$	−14.8163	+	2.82970i	−0.564047	+	0.107725i
$691$	−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
$693$	−7.39148	−	14.5345i	−0.280779	−	0.552120i
$694$	4.92011	+	5.86356i	0.186765	+	0.222578i
$695$	3.82735	−	2.19502i	0.145180	−	0.0832619i
$696$	5.81584	+	5.62066i	0.220449	+	0.213051i
$697$	−11.8283	+	5.51565i	−0.448030	+	0.208920i
$698$	−8.57706	−	12.2493i	−0.324647	−	0.463643i
$699$	−9.90360	−	20.3254i	−0.374588	−	0.768778i
$700$	1.48055	+	18.1269i	0.0559596	+	0.685131i
$701$	−3.77595	+	4.50000i	−0.142616	+	0.169963i	−0.832624	−	0.553839i	$-0.813162\pi$
$701$	−3.77595	+	4.50000i	−0.142616	+	0.169963i	0.690008	+	0.723801i	$0.257607\pi$
$702$	16.8204	−	0.861868i	0.634844	−	0.0325291i
$703$	31.4127	+	4.78635i	1.18475	+	0.180521i
$704$	−1.49427			−0.0563175
$705$	−12.4379	−	17.2377i	−0.468439	−	0.649209i
$706$	−15.2264	+	5.54195i	−0.573052	+	0.208574i
$707$	13.0497	−	18.6369i	0.490785	−	0.700914i
$708$	−12.5675	−	10.1851i	−0.472316	−	0.382778i
$709$	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
$711$	1.49682	+	43.8397i	0.0561352	+	1.64412i
$712$	0.899505	−	10.2814i	0.0337104	−	0.385311i
$713$	−3.01137	+	34.4201i	−0.112777	+	1.28904i
$714$	21.2065	+	5.29613i	0.793634	+	0.198203i
$715$	7.68020	−	7.63601i	0.287223	−	0.285570i
$716$	−1.33431	+	3.66598i	−0.0498654	+	0.137004i
$717$	12.1319	−	14.9698i	0.453075	−	0.559057i
$718$	−2.39948	+	3.42681i	−0.0895478	+	0.127888i
$719$	−39.0482	+	14.2124i	−1.45625	+	0.530033i	−0.944331	−	0.328998i	$-0.893289\pi$
$719$	−39.0482	+	14.2124i	−1.45625	+	0.530033i	−0.511923	+	0.859031i	$0.671067\pi$
$720$	−5.27098	−	4.14931i	−0.196438	−	0.154636i
$721$	63.9075			2.38004
$722$	−18.5620	−	4.05634i	−0.690804	−	0.150961i
$723$	29.8714	+	16.5732i	1.11093	+	0.616363i
$724$	−6.02200	+	7.17674i	−0.223806	+	0.266722i
$725$	17.7988	+	15.1108i	0.661029	+	0.561201i
$726$	−13.6509	+	6.65143i	−0.506633	+	0.246858i
$727$	−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
$729$	15.8193	+	21.8804i	0.585898	+	0.810385i
$730$	14.1531	−	8.11692i	0.523828	−	0.300421i
$731$	8.05644	+	9.60130i	0.297978	+	0.355117i
$732$	−0.00809290	−	0.0417208i	−0.000299122	−	0.00154205i
$733$	−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
$735$	4.52716	+	23.7042i	0.166987	+	0.874343i
$736$	−0.676307	+	3.83553i	−0.0249290	+	0.141379i
$737$	−0.946145	+	1.35123i	−0.0348517	+	0.0497734i
$738$	11.2024	−	1.36665i	0.412366	−	0.0503071i
$739$	−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
$741$	14.9602	−	19.3661i	0.549576	−	0.711433i
$742$	26.3419	−	26.3419i	0.967040	−	0.967040i
$743$	1.32557	−	0.115972i	0.0486304	−	0.00425461i	−0.0628146	−	0.998025i	$-0.520008\pi$
$743$	1.32557	−	0.115972i	0.0486304	−	0.00425461i	0.111445	+	0.993771i	$0.464452\pi$
$744$	−12.4347	+	9.02696i	−0.455878	+	0.330945i
$745$	−5.79792	−	2.12923i	−0.212419	−	0.0780091i
$746$	13.7658	+	2.42728i	0.504002	+	0.0888692i
$747$	32.1500	+	20.9140i	1.17631	+	0.765202i
$748$	−1.34176	+	5.00753i	−0.0490597	+	0.183093i
$749$	−33.3848	+	57.8241i	−1.21985	+	2.11285i
$750$	−15.9557	−	10.9735i	−0.582618	−	0.400694i
$751$	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
$753$	−13.8258	+	0.235959i	−0.503839	+	0.00859881i
$754$	−5.17673	+	14.2230i	−0.188526	+	0.517970i
$755$	−21.3038	−	17.9810i	−0.775324	−	0.654395i
$756$	−16.0170	−	10.0345i	−0.582534	−	0.364952i
$757$	−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	$0.0505672\pi$
$761$			8.72796i			0.316388i	−0.987408	+	0.158194i	$0.949433\pi$
$762$	3.67034	+	9.57267i	0.132962	+	0.346781i
$763$	4.44068	+	2.07072i	0.160763	+	0.0749652i
$764$	−2.68292	−	15.2156i	−0.0970645	−	0.550480i
$765$	−18.6380	+	13.9380i	−0.673858	+	0.503930i
$766$	32.0580	+	11.6681i	1.15830	+	0.421587i
$767$	7.83507	−	29.2409i	0.282908	−	1.05583i
$768$	−1.48500	+	0.891495i	−0.0535855	+	0.0321691i
$769$	−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
$771$	−43.2783	−	10.8084i	−1.55863	−	0.389254i
$772$	−16.5704	−	4.44003i	−0.596382	−	0.159800i
$773$	−6.95175	+	3.24165i	−0.250037	+	0.116594i	−0.543597	−	0.839347i	$-0.682938\pi$
$773$	−6.95175	+	3.24165i	−0.250037	+	0.116594i	0.293560	+	0.955941i	$0.405160\pi$
$774$	−4.05216	−	10.0519i	−0.145652	−	0.361309i
$775$	−34.1436	+	28.3158i	−1.22647	+	1.01713i
$776$	0.538159	+	1.47858i	0.0193188	+	0.0530779i
$777$	42.8830	−	16.4422i	1.53842	−	0.589859i
$778$	18.8246	+	18.8246i	0.674895	+	0.674895i
$779$	9.08932	−	13.6477i	0.325659	−	0.488978i
$780$	3.07685	−	12.1707i	0.110169	−	0.435782i
$781$	6.96715	+	5.84613i	0.249304	+	0.209191i
$782$	12.2462	+	5.71047i	0.437921	+	0.204206i
$783$	−23.6485	+	5.43067i	−0.845128	+	0.194076i
$784$	6.13636	+	1.08201i	0.219156	+	0.0386431i
$785$	4.51656	−	49.9638i	0.161203	−	1.78329i
$786$	−10.3550	−	10.0075i	−0.369350	−	0.356954i
$787$	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
$789$	25.8516	−	38.2945i	0.920341	−	1.36332i
$790$	31.5566	+	8.55322i	1.12273	+	0.304310i
$791$	−37.7806	+	21.8126i	−1.34332	+	0.775568i
$792$	2.44444	−	3.75771i	0.0868593	−	0.133524i
$793$	0.0651480	−	0.0456171i	0.00231347	−	0.00161991i
$794$	3.05619	+	17.3325i	0.108460	+	0.615108i
$795$	4.01699	+	39.4613i	0.142468	+	1.39955i
$796$	0.543356	+	0.455930i	0.0192587	+	0.0161600i
$797$	17.2179	+	17.2179i	0.609889	+	0.609889i	0.942917	−	0.333028i	$-0.108070\pi$
$797$	17.2179	+	17.2179i	0.609889	+	0.609889i	−0.333028	+	0.942917i	$0.608070\pi$
$798$	−26.2177	+	8.17305i	−0.928098	+	0.289323i
$799$			19.0413i			0.673633i
$800$	−4.11224	+	2.84420i	−0.145390	+	0.100558i
$801$	24.3836	+	19.0811i	0.861551	+	0.674196i
$802$	−9.79273	−	6.85694i	−0.345793	−	0.242127i
$803$	6.25367	+	8.93116i	0.220687	+	0.315174i
$804$	−0.134118	+	1.90733i	−0.00472998	+	0.0672664i
$805$	−0.0913934	+	31.6777i	−0.00322119	+	1.11649i
$806$	−24.9028	−	14.3777i	−0.877165	−	0.506431i
$807$	53.9936	−	10.4735i	1.90067	−	0.368686i
$808$	6.23099	+	0.545141i	0.219206	+	0.0191780i
$809$	6.34640	−	10.9923i	0.223128	−	0.386468i	−0.732628	−	0.680629i	$-0.761707\pi$
$809$	6.34640	−	10.9923i	0.223128	−	0.386468i	0.955756	+	0.294160i	$0.0950400\pi$
$810$	19.0571	−	6.46741i	0.669598	−	0.227242i
$811$	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
$813$	−0.326998	+	0.948474i	−0.0114683	+	0.0332644i
$814$	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
$819$	4.94983	−	35.0225i	0.172961	−	1.22378i
$820$	1.48457	−	8.27964i	0.0518433	−	0.289138i
$821$	−46.3083	+	8.16541i	−1.61617	+	0.284975i	−0.907339	−	0.420401i	$-0.861889\pi$
$821$	−46.3083	+	8.16541i	−1.61617	+	0.284975i	−0.708834	+	0.705376i	$0.750778\pi$
$822$	23.7752	+	19.2681i	0.829257	+	0.672053i
$823$	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
$825$	6.34340	−	11.2794i	0.220849	−	0.392698i
$826$	−26.0240	+	21.8367i	−0.905490	+	0.759796i
$827$	6.74600	+	0.590198i	0.234581	+	0.0205232i	0.203840	−	0.979004i	$-0.434658\pi$
$827$	6.74600	+	0.590198i	0.234581	+	0.0205232i	0.0307411	+	0.999527i	$0.490213\pi$
$828$	−8.53901	−	7.97517i	−0.296751	−	0.277156i
$829$	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
$831$	−5.82463	−	55.6254i	−0.202054	−	1.92963i
$832$	−2.65514	−	1.85915i	−0.0920505	−	0.0644545i
$833$	9.13604	−	19.5923i	0.316545	−	0.678833i
$834$	3.12160	+	1.39128i	0.108092	+	0.0481760i
$835$	36.8977	−	9.77271i	1.27690	−	0.338199i
$836$	−1.83207	−	6.25041i	−0.0633634	−	0.216175i
$837$	−2.35891	−	46.0370i	−0.0815360	−	1.59127i
$838$	0.966237	+	11.0441i	0.0333781	+	0.381513i
$839$	34.6238	−	12.6020i	1.19535	−	0.435071i	0.333749	−	0.942662i	$-0.391686\pi$
$839$	34.6238	−	12.6020i	1.19535	−	0.435071i	0.861598	+	0.507591i	$0.169464\pi$
$840$	−10.6624	+	9.20756i	−0.367887	+	0.317691i
$841$	−1.24935	+	7.08542i	−0.0430810	+	0.244325i
$842$	−3.26346	−	6.99851i	−0.112466	−	0.241185i
$843$	−3.55219	+	0.0606236i	−0.122344	+	0.00208799i
$844$	−2.77596	−	1.60270i	−0.0955526	−	0.0551673i
$845$	−5.49431	+	0.952459i	−0.189010	+	0.0327656i
$846$	5.10020	−	15.6554i	0.175348	−	0.538244i
$847$	8.25375	+	30.8034i	0.283602	+	1.05842i
$848$	9.89256	+	2.65070i	0.339712	+	0.0910255i
$849$	0.504963	−	7.18123i	0.0173303	−	0.246459i
$850$	5.83881	+	16.3347i	0.200270	+	0.560274i
$851$	27.9600	−	4.93010i	0.958456	−	0.169002i
$852$	10.4118	+	1.65321i	0.356702	+	0.0566381i
$853$	−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
$855$	10.8937	−	27.1354i	0.372556	−	0.928010i
$856$	−18.3562			−0.627401
$857$	−0.0861037	−	0.984170i	−0.00294125	−	0.0336186i	0.994582	−	0.103953i	$-0.0331490\pi$
$857$	−0.0861037	−	0.984170i	−0.00294125	−	0.0336186i	−0.997523	+	0.0703340i	$0.977593\pi$
$858$	8.28527	+	1.31556i	0.282855	+	0.0449124i
$859$	−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
$861$	1.66244	−	23.6420i	0.0566557	−	0.805717i
$862$	−4.70268	−	1.26008i	−0.160174	−	0.0429185i
$863$	−12.5118	−	46.6948i	−0.425908	−	1.58951i	−0.761932	−	0.647657i	$-0.775749\pi$
$863$	−12.5118	−	46.6948i	−0.425908	−	1.58951i	0.336023	−	0.941854i	$-0.390918\pi$
$864$	0.187394	−	5.19277i	0.00637526	−	0.176662i
$865$	20.1874	+	14.2224i	0.686393	+	0.483575i
$866$	−11.1890	−	6.45998i	−0.380218	−	0.219519i
$867$	−8.59577	+	0.146700i	−0.291928	+	0.00498220i
$868$	13.6377	+	29.2460i	0.462892	+	0.992675i
$869$	−3.79401	+	21.5169i	−0.128703	+	0.729912i
$870$	−1.32062	+	18.0370i	−0.0447732	+	0.611513i
$871$	−3.36237	+	1.22380i	−0.113930	+	0.0414670i
$872$	0.117401	+	1.34190i	0.00397571	+	0.0454426i
$873$	−4.59861	−	1.06544i	−0.155639	−	0.0360595i
$874$	−16.8729	+	1.87366i	−0.570734	+	0.0633773i
$875$	−29.0044	+	28.5066i	−0.980526	+	0.963698i
$876$	11.5433	+	5.14477i	0.390011	+	0.173826i
$877$	−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
$879$	4.41609	+	42.1738i	0.148951	+	1.42249i
$880$	−2.14035	−	2.56577i	−0.0721511	−	0.0864919i
$881$	−5.58351	+	3.22364i	−0.188113	+	0.108607i	−0.591099	−	0.806599i	$-0.701306\pi$
$881$	−5.58351	+	3.22364i	−0.188113	+	0.108607i	0.402986	+	0.915206i	$0.367972\pi$
$882$	−12.7593	+	13.6613i	−0.429627	+	0.460001i
$883$	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
$885$	−0.512890	−	36.1680i	−0.0172406	−	1.21578i
$886$	−0.240131	−	0.415919i	−0.00806736	−	0.0139731i
$887$	1.18999	+	2.55195i	0.0399561	+	0.0856861i	0.925273	−	0.379303i	$-0.123836\pi$
$887$	1.18999	+	2.55195i	0.0399561	+	0.0856861i	−0.885317	+	0.464989i	$0.846058\pi$
$888$	9.80931	+	7.94973i	0.329179	+	0.266776i
$889$	21.2033	−	3.73872i	0.711137	−	0.125393i
$890$	18.9423	−	13.1822i	0.634946	−	0.441869i
$891$	5.45088	+	12.2943i	0.182611	+	0.411873i
$892$	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
$897$	7.12671	−	20.6714i	0.237954	−	0.690197i
$898$	5.94148	−	4.16027i	0.198270	−	0.138830i
$899$	38.9279	+	14.1686i	1.29832	+	0.472550i
$900$	−0.425337	−	14.9940i	−0.0141779	−	0.499799i
$901$	17.7658	−	30.7713i	0.591865	−	1.02514i
$902$	5.59979	+	0.489918i	0.186453	+	0.0163125i
$903$	−22.3441	+	4.33424i	−0.743564	+	0.144235i
$904$	−10.3866	−	5.99668i	−0.345452	−	0.199447i
$905$	−20.9487	−	0.0604391i	−0.696358	−	0.00200906i
$906$	1.51469	−	21.5408i	0.0503221	−	0.715645i
$907$	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
$909$	−11.5640	+	14.7776i	−0.383553	+	0.490141i
$910$	−23.8613	−	11.2106i	−0.790995	−	0.371629i
$911$			37.9378i			1.25693i	0.777836	+	0.628467i	$0.216317\pi$
$911$			37.9378i			1.25693i	−0.777836	+	0.628467i	$0.783683\pi$
$912$	−5.54975	−	5.11862i	−0.183771	−	0.169494i
$913$	13.5083	+	13.5083i	0.447061	+	0.447061i
$914$	−15.8140	−	13.2695i	−0.523080	−	0.438916i
$915$	0.0600455	−	0.0736557i	0.00198504	−	0.00243498i
$916$	3.29085	+	18.6633i	0.108733	+	0.616654i
$917$	−24.7730	+	17.3462i	−0.818077	+	0.572824i
$918$	−17.2335	−	5.29077i	−0.568790	−	0.174622i
$919$	−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
$921$	−27.0958	+	40.1375i	−0.892836	+	1.32258i
$922$	0.847987	−	9.69254i	0.0279270	−	0.319207i
$923$	5.10612	+	19.0563i	0.168070	+	0.627246i
$924$	−6.76952	−	6.54234i	−0.222701	−	0.215227i
$925$	29.7359	+	21.0780i	0.977710	+	0.693042i
$926$	9.85047	+	1.73690i	0.323707	+	0.0570782i
$927$	−52.6336	−	2.79941i	−1.72871	−	0.0919446i
$928$	4.23211	+	1.97346i	0.138926	+	0.0647821i
$929$	−29.7420	−	24.9565i	−0.975803	−	0.818796i	0.00764775	−	0.999971i	$-0.497566\pi$
$929$	−29.7420	−	24.9565i	−0.975803	−	0.818796i	−0.983451	+	0.181175i	$0.942010\pi$
$930$	−33.3110	−	8.42128i	−1.09231	−	0.276145i
$931$	2.99761	+	26.9945i	0.0982428	+	0.884708i
$932$	−9.23042	−	9.23042i	−0.302352	−	0.302352i
$933$	55.3590	−	21.2257i	1.81237	−	0.694897i
$934$	12.9703	+	35.6357i	0.424403	+	1.16604i
$935$	−10.5202	+	4.86873i	−0.344046	+	0.159225i
$936$	9.01875	−	3.63567i	0.294787	−	0.118835i
$937$	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
$939$	−1.86862	−	0.466670i	−0.0609801	−	0.0152292i
$940$	−10.0327	−	7.06817i	−0.327229	−	0.230538i
$941$	2.01753	+	2.40440i	0.0657695	+	0.0783811i	0.797926	−	0.602755i	$-0.205931\pi$
$941$	2.01753	+	2.40440i	0.0657695	+	0.0783811i	−0.732157	+	0.681136i	$0.761486\pi$
$942$	33.3170	−	20.0012i	1.08553	−	0.651676i
$943$	3.79200	−	14.1519i	0.123484	−	0.460850i
$944$	−8.77625	−	3.19429i	−0.285643	−	0.103965i
$945$	−5.71236	−	41.8755i	−0.185823	−	1.36221i
$946$	−0.937401	−	5.31627i	−0.0304775	−	0.172847i
$947$	−44.4069	−	20.7073i	−1.44303	−	0.672895i	−0.465762	−	0.884910i	$-0.654220\pi$
$947$	−44.4069	−	20.7073i	−1.44303	−	0.672895i	−0.977267	+	0.212014i	$0.931998\pi$
$948$	9.06670	+	23.6470i	0.294473	+	0.768019i
$949$			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	−0.948357	−	0.317204i	$-0.897256\pi$
$953$	−2.95657	+	6.34037i	−0.0957725	+	0.205385i	0.852585	+	0.522589i	$0.175034\pi$
$954$	−22.8488	+	20.5410i	−0.739756	+	0.665040i
$955$	22.2832	−	26.4011i	0.721069	−	0.854319i
$956$	3.80488	−	10.4538i	0.123058	−	0.338100i
$957$	−12.0839	+	0.206231i	−0.390618	+	0.00666650i
$958$	25.8257	−	6.91997i	0.834389	−	0.223574i
$959$	49.2322	−	41.3107i	1.58979	−	1.33399i
$960$	−3.65783	−	1.27290i	−0.118056	−	0.0410827i
$961$	−23.8513	+	41.3117i	−0.769398	+	1.33264i
$962$	−6.11549	+	22.8233i	−0.197171	+	0.735853i
$963$	30.0283	−	46.1610i	0.967649	−	1.48752i
$964$	19.4232	+	3.42484i	0.625580	+	0.110307i
$965$	−16.1111	−	34.8123i	−0.518635	−	1.12065i
$966$	−19.8569	+	14.4151i	−0.638885	+	0.463798i
$967$	−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
$969$	−22.1366	+	14.0019i	−0.711130	+	0.449805i
$970$	−1.76798	+	3.04193i	−0.0567664	+	0.0976704i
$971$	20.7326	−	24.7081i	0.665340	−	0.792921i	−0.322802	−	0.946467i	$-0.604625\pi$
$971$	20.7326	−	24.7081i	0.665340	−	0.792921i	0.988142	+	0.153545i	$0.0490691\pi$
$972$	12.7519	+	8.96595i	0.409018	+	0.287583i
$973$	4.11670	−	5.87926i	0.131975	−	0.188480i
$974$	5.11638	−	29.0164i	0.163939	−	0.929747i
$975$	25.3051	−	12.1498i	0.810413	−	0.389105i
$976$	−0.0122683	−	0.0212493i	−0.000392698	−	0.000680172i
$977$	−3.18510	+	0.853445i	−0.101900	+	0.0273041i	−0.309409	−	0.950929i	$-0.600131\pi$
$977$	−3.18510	+	0.853445i	−0.101900	+	0.0273041i	0.207509	+	0.978233i	$0.433465\pi$
$978$	−1.93483	−	9.97450i	−0.0618689	−	0.318949i
$979$	9.91299	+	11.8138i	0.316821	+	0.377572i
$980$	6.93166	+	12.0864i	0.221424	+	0.386085i
$981$	−3.56659	−	1.89995i	−0.113873	−	0.0606606i
$982$	8.95390	−	4.17527i	0.285730	−	0.133238i
$983$	18.5218	+	26.4518i	0.590753	+	0.843683i	0.997559	−	0.0698321i	$-0.0222463\pi$
$983$	18.5218	+	26.4518i	0.590753	+	0.843683i	−0.406806	+	0.913515i	$0.633357\pi$
$984$	5.85735	−	2.85400i	0.186725	−	0.0909823i
$985$	20.2582	−	14.0980i	0.645478	−	0.449199i
$986$	10.4135	−	12.4104i	0.331635	−	0.395227i
$987$	−30.2364	−	16.7756i	−0.962434	−	0.533975i
$988$	4.52130	−	13.3857i	0.143842	−	0.425855i
$989$	−14.0702			−0.447405
$990$	9.95357	−	1.18516i	0.316345	−	0.0376670i
$991$	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
$993$	−8.95502	+	11.0498i	−0.284179	+	0.350653i
$994$	7.57216	−	20.8044i	0.240174	−	0.659874i
$995$	−0.00457588	+	1.58604i	−0.000145065	+	0.0502808i
$996$	21.4837	+	5.36536i	0.680739	+	0.170008i
$997$	−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
$999$	−36.0383	+	11.6631i	−1.14020	+	0.369005i

Twists

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

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

\(f(q)\)	\(=\)	\(q+(0.0871557 + 0.996195i) q^{2} +(-1.71062 - 0.271617i) q^{3} +(-0.984808 + 0.173648i) q^{4} +(-1.70877 - 1.44225i) q^{5} +(0.121493 - 1.72778i) q^{6} +(-3.51350 - 0.941441i) q^{7} +(-0.258819 - 0.965926i) q^{8} +(2.85245 + 0.929267i) q^{9} +O(q^{10})\)	\(q+(0.0871557 + 0.996195i) q^{2} +(-1.71062 - 0.271617i) q^{3} +(-0.984808 + 0.173648i) q^{4} +(-1.70877 - 1.44225i) q^{5} +(0.121493 - 1.72778i) q^{6} +(-3.51350 - 0.941441i) q^{7} +(-0.258819 - 0.965926i) q^{8} +(2.85245 + 0.929267i) q^{9} +(1.28784 - 1.82797i) q^{10} +(1.29408 + 0.747136i) q^{11} +(1.73180 - 0.0295558i) q^{12} +(1.36985 + 2.93764i) q^{13} +(0.631636 - 3.58219i) q^{14} +(2.53132 + 2.93128i) q^{15} +(0.939693 - 0.342020i) q^{16} +(-0.302375 - 3.45616i) q^{17} +(-0.677124 + 2.92259i) q^{18} +(2.58276 + 3.51132i) q^{19} +(1.93326 + 1.12362i) q^{20} +(5.75456 + 2.56478i) q^{21} +(-0.631507 + 1.35427i) q^{22} +(3.19035 + 2.23391i) q^{23} +(0.180380 + 1.72263i) q^{24} +(0.839814 + 4.92897i) q^{25} +(-2.80707 + 1.62067i) q^{26} +(-4.62705 - 2.36440i) q^{27} +(3.62361 + 0.317024i) q^{28} +(3.57713 - 3.00157i) q^{29} +(-2.69951 + 2.77717i) q^{30} +(4.43573 + 7.68290i) q^{31} +(0.422618 + 0.906308i) q^{32} +(-2.01074 - 1.62956i) q^{33} +(3.41666 - 0.602449i) q^{34} +(4.64599 + 6.67607i) q^{35} +(-2.97048 - 0.419827i) 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} +(-2.05347 + 5.95620i) q^{42} +(-2.95931 + 2.07213i) q^{43} +(-1.40416 - 0.511071i) q^{44} +(-3.53395 - 5.70186i) q^{45} +(-1.94735 + 3.37291i) q^{46} +(-5.46752 - 0.478346i) q^{47} +(-1.70036 + 0.329830i) q^{48} +(5.39623 + 3.11551i) q^{49} +(-4.83702 + 1.26621i) q^{50} +(-0.421503 + 5.99432i) q^{51} +(-1.85915 - 2.65514i) q^{52} +(8.38937 + 5.87430i) q^{53} +(1.95213 - 4.81552i) q^{54} +(-1.13373 - 3.14307i) q^{55} +3.63745i q^{56} +(-3.46439 - 6.70805i) q^{57} +(3.30191 + 3.30191i) q^{58} +(-7.15446 - 6.00331i) q^{59} +(-3.00188 - 2.44719i) q^{60} +(-0.00426072 - 0.0241638i) q^{61} +(-7.26707 + 5.08846i) q^{62} +(-9.14724 - 5.95039i) q^{63} +(-0.866025 + 0.500000i) q^{64} +(1.89607 - 6.99543i) q^{65} +(1.44811 - 2.14512i) q^{66} +(-0.0962128 + 1.09972i) q^{67} +(0.897938 + 3.35115i) q^{68} +(-4.85071 - 4.68792i) q^{69} +(-6.24574 + 5.21017i) q^{70} +(5.99409 + 1.05692i) q^{71} +(0.159335 - 2.99577i) q^{72} +(6.61286 + 3.08363i) q^{73} +(5.58426 + 4.68575i) q^{74} +(-0.0978130 - 8.65970i) q^{75} +(-3.15326 - 3.00948i) q^{76} +(-3.84336 - 3.84336i) q^{77} +(5.24204 - 2.00990i) q^{78} +(5.00093 + 13.7399i) q^{79} +(-2.09900 - 0.770839i) q^{80} +(7.27293 + 5.30137i) q^{81} +(3.40937 - 1.58981i) q^{82} +(12.3490 + 3.30890i) q^{83} +(-6.11251 - 1.52654i) q^{84} +(-4.46797 + 6.34190i) q^{85} +(-2.32217 - 2.76745i) q^{86} +(-6.93439 + 4.16294i) q^{87} +(0.386746 - 1.44336i) q^{88} +(9.69825 + 3.52987i) q^{89} +(5.37216 - 4.01745i) q^{90} +(-2.04734 - 11.6111i) q^{91} +(-3.52979 - 1.64597i) q^{92} +(-5.50104 - 14.3474i) 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} +(2.99700 + 3.33371i) 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

Related objects

Downloads

Learn more