LMFDB - Embedded newform 570.2.bi.a.17.15

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			17.15
Character	$\chi$	$=$	570.17
Dual form			570.2.bi.a.503.15

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.573576 - 0.819152i) q^{2} +(1.09670 - 1.34062i) q^{3} +(-0.342020 + 0.939693i) q^{4} +(-1.34788 - 1.78416i) q^{5} +(-1.72721 - 0.129414i) q^{6} +(1.18632 - 4.42739i) q^{7} +(0.965926 - 0.258819i) q^{8} +(-0.594516 - 2.94050i) q^{9} +O(q^{10})$	\(q+(-0.573576 - 0.819152i) q^{2} +(1.09670 - 1.34062i) q^{3} +(-0.342020 + 0.939693i) q^{4} +(-1.34788 - 1.78416i) q^{5} +(-1.72721 - 0.129414i) q^{6} +(1.18632 - 4.42739i) q^{7} +(0.965926 - 0.258819i) q^{8} +(-0.594516 - 2.94050i) q^{9} +(-0.688389 + 2.12747i) q^{10} +(-2.34274 - 1.35258i) q^{11} +(0.884677 + 1.48908i) q^{12} +(-0.186666 + 2.13360i) q^{13} +(-4.30715 + 1.56767i) q^{14} +(-3.87009 - 0.149694i) q^{15} +(-0.766044 - 0.642788i) q^{16} +(3.83793 + 5.48113i) q^{17} +(-2.06772 + 2.17360i) q^{18} +(2.70718 + 3.41631i) q^{19} +(2.13756 - 0.656371i) q^{20} +(-4.63442 - 6.44590i) q^{21} +(0.235770 + 2.69486i) q^{22} +(-0.0679252 - 0.145666i) q^{23} +(0.712349 - 1.57878i) q^{24} +(-1.36646 + 4.80966i) q^{25} +(1.85481 - 1.07087i) q^{26} +(-4.59409 - 2.42782i) q^{27} +(3.75464 + 2.62903i) q^{28} +(0.197286 + 1.11887i) q^{29} +(2.09717 + 3.25605i) q^{30} +(-5.32379 - 9.22107i) q^{31} +(-0.0871557 + 0.996195i) q^{32} +(-4.38256 + 1.65735i) q^{33} +(2.28853 - 6.28769i) q^{34} +(-9.49819 + 3.85100i) q^{35} +(2.96650 + 0.447049i) q^{36} +(-4.34098 - 4.34098i) q^{37} +(1.24570 - 4.17711i) q^{38} +(2.65562 + 2.59015i) q^{39} +(-1.76372 - 1.37451i) q^{40} +(5.93091 - 7.06818i) q^{41} +(-2.62198 + 7.49351i) q^{42} +(0.115955 - 0.248666i) q^{43} +(2.07227 - 1.73884i) q^{44} +(-4.44499 + 5.02414i) q^{45} +(-0.0803624 + 0.139192i) q^{46} +(-2.29636 - 1.60793i) q^{47} +(-1.70185 + 0.322031i) q^{48} +(-12.1323 - 7.00457i) q^{49} +(4.72361 - 1.63937i) q^{50} +(11.5571 + 0.865936i) q^{51} +(-1.94108 - 0.905141i) q^{52} +(4.45409 + 9.55184i) q^{53} +(0.646312 + 5.15580i) q^{54} +(0.744501 + 6.00293i) q^{55} -4.58357i q^{56} +(7.54892 + 0.117361i) q^{57} +(0.803363 - 0.803363i) q^{58} +(-1.11648 + 6.33190i) q^{59} +(1.46431 - 3.58550i) q^{60} +(10.8087 + 3.93405i) q^{61} +(-4.49986 + 9.64998i) q^{62} +(-13.7240 - 0.856211i) q^{63} +(0.866025 - 0.500000i) q^{64} +(4.05828 - 2.54278i) q^{65} +(3.87135 + 2.63937i) q^{66} +(2.16349 - 3.08978i) q^{67} +(-6.46323 + 1.73182i) q^{68} +(-0.269776 - 0.0686896i) q^{69} +(8.60249 + 5.57162i) q^{70} +(-3.25164 - 8.93381i) q^{71} +(-1.33532 - 2.68643i) q^{72} +(14.2528 - 1.24696i) q^{73} +(-1.06604 + 6.04581i) q^{74} +(4.94933 + 7.10663i) q^{75} +(-4.13619 + 1.37547i) q^{76} +(-8.76763 + 8.76763i) q^{77} +(0.598527 - 3.66101i) q^{78} +(-0.752414 + 0.896692i) q^{79} +(-0.114303 + 2.23314i) q^{80} +(-8.29310 + 3.49635i) q^{81} +(-9.19174 - 0.804173i) q^{82} +(2.08228 - 7.77119i) q^{83} +(7.64223 - 2.15030i) q^{84} +(4.60616 - 14.2354i) q^{85} +(-0.270205 + 0.0476444i) q^{86} +(1.71634 + 0.962571i) q^{87} +(-2.61298 - 0.700147i) q^{88} +(-1.54418 + 1.29572i) q^{89} +(6.66508 + 0.759395i) q^{90} +(9.22483 + 3.35756i) q^{91} +(0.160113 - 0.0140081i) q^{92} +(-18.2005 - 2.97554i) q^{93} +2.80334i q^{94} +(2.44630 - 9.43481i) q^{95} +(1.23993 + 1.20937i) q^{96} +(-1.15487 + 0.808652i) q^{97} +(1.22098 + 13.9558i) q^{98} +(-2.58447 + 7.69295i) 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 $\left(\mathbb{Z}/570\mathbb{Z}\right)^\times$.

$n$	$191$	$211$	$457$
$\chi(n)$	$-1$	$e\left(\frac{5}{9}\right)$	$e\left(\frac{1}{4}\right)$

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 $

$2$	−0.573576	−	0.819152i	−0.405580	−	0.579228i
$2$	−0.573576	−	0.819152i	−0.405580	−	0.579228i
$3$	1.09670	−	1.34062i	0.633178	−	0.774006i
$3$	1.09670	−	1.34062i	0.633178	−	0.774006i
$4$	−0.342020	+	0.939693i	−0.171010	+	0.469846i
$5$	−1.34788	−	1.78416i	−0.602789	−	0.797901i
$5$	−1.34788	−	1.78416i	−0.602789	−	0.797901i
$6$	−1.72721	−	0.129414i	−0.705130	−	0.0528329i
$7$	1.18632	−	4.42739i	0.448385	−	1.67340i	−0.258454	−	0.966023i	$-0.583213\pi$
$7$	1.18632	−	4.42739i	0.448385	−	1.67340i	0.706840	−	0.707374i	$-0.250120\pi$
$8$	0.965926	−	0.258819i	0.341506	−	0.0915064i
$9$	−0.594516	−	2.94050i	−0.198172	−	0.980167i
$10$	−0.688389	+	2.12747i	−0.217688	+	0.672765i
$11$	−2.34274	−	1.35258i	−0.706362	−	0.407818i	0.103351	−	0.994645i	$-0.467044\pi$
$11$	−2.34274	−	1.35258i	−0.706362	−	0.407818i	−0.809712	+	0.586827i	$0.800377\pi$
$12$	0.884677	+	1.48908i	0.255384	+	0.429859i
$13$	−0.186666	+	2.13360i	−0.0517717	+	0.591753i	0.925356	+	0.379100i	$0.123766\pi$
$13$	−0.186666	+	2.13360i	−0.0517717	+	0.591753i	−0.977128	+	0.212654i	$0.931789\pi$
$14$	−4.30715	+	1.56767i	−1.15113	+	0.418979i
$15$	−3.87009	−	0.149694i	−0.999253	−	0.0386507i
$16$	−0.766044	−	0.642788i	−0.191511	−	0.160697i
$17$	3.83793	+	5.48113i	0.930834	+	1.32937i	0.944170	+	0.329458i	$0.106866\pi$
$17$	3.83793	+	5.48113i	0.930834	+	1.32937i	−0.0133358	+	0.999911i	$0.504245\pi$
$18$	−2.06772	+	2.17360i	−0.487366	+	0.512323i
$19$	2.70718	+	3.41631i	0.621069	+	0.783756i
$19$	2.70718	+	3.41631i	0.621069	+	0.783756i
$20$	2.13756	−	0.656371i	0.477974	−	0.146769i
$21$	−4.63442	−	6.44590i	−1.01131	−	1.40661i
$22$	0.235770	+	2.69486i	0.0502664	+	0.574547i
$23$	−0.0679252	−	0.145666i	−0.0141634	−	0.0303735i	0.899099	−	0.437746i	$-0.144223\pi$
$23$	−0.0679252	−	0.145666i	−0.0141634	−	0.0303735i	−0.913262	+	0.407372i	$0.866445\pi$
$24$	0.712349	−	1.57878i	0.145408	−	0.322268i
$25$	−1.36646	+	4.80966i	−0.273292	+	0.961931i
$26$	1.85481	−	1.07087i	0.363758	−	0.210016i
$27$	−4.59409	−	2.42782i	−0.884134	−	0.467234i
$28$	3.75464	+	2.62903i	0.709561	+	0.496840i
$29$	0.197286	+	1.11887i	0.0366352	+	0.207768i	0.997631	−	0.0687952i	$-0.0219155\pi$
$29$	0.197286	+	1.11887i	0.0366352	+	0.207768i	−0.960996	+	0.276564i	$0.910804\pi$
$30$	2.09717	+	3.25605i	0.382889	+	0.594471i
$31$	−5.32379	−	9.22107i	−0.956180	−	1.65615i	−0.731643	−	0.681688i	$-0.761246\pi$
$31$	−5.32379	−	9.22107i	−0.956180	−	1.65615i	−0.224537	−	0.974466i	$-0.572087\pi$
$32$	−0.0871557	+	0.996195i	−0.0154071	+	0.176104i
$33$	−4.38256	+	1.65735i	−0.762906	+	0.288507i
$34$	2.28853	−	6.28769i	0.392480	−	1.07833i
$35$	−9.49819	+	3.85100i	−1.60549	+	0.650938i
$36$	2.96650	+	0.447049i	0.494417	+	0.0745082i
$37$	−4.34098	−	4.34098i	−0.713653	−	0.713653i	0.253644	−	0.967298i	$-0.418371\pi$
$37$	−4.34098	−	4.34098i	−0.713653	−	0.713653i	−0.967298	+	0.253644i	$0.918371\pi$
$38$	1.24570	−	4.17711i	0.202080	−	0.677616i
$39$	2.65562	+	2.59015i	0.425240	+	0.414757i
$40$	−1.76372	−	1.37451i	−0.278869	−	0.217329i
$41$	5.93091	−	7.06818i	0.926252	−	1.10386i	−0.0680940	−	0.997679i	$-0.521692\pi$
$41$	5.93091	−	7.06818i	0.926252	−	1.10386i	0.994346	−	0.106186i	$-0.0338638\pi$
$42$	−2.62198	+	7.49351i	−0.404581	+	1.15627i
$43$	0.115955	−	0.248666i	0.0176830	−	0.0379213i	−0.897268	−	0.441486i	$-0.854451\pi$
$43$	0.115955	−	0.248666i	0.0176830	−	0.0379213i	0.914951	+	0.403565i	$0.132229\pi$
$44$	2.07227	−	1.73884i	0.312407	−	0.262140i
$45$	−4.44499	+	5.02414i	−0.662621	+	0.748955i
$46$	−0.0803624	+	0.139192i	−0.0118488	+	0.0205227i
$47$	−2.29636	−	1.60793i	−0.334959	−	0.234541i	0.393981	−	0.919119i	$-0.371098\pi$
$47$	−2.29636	−	1.60793i	−0.334959	−	0.234541i	−0.728940	+	0.684578i	$0.759986\pi$
$48$	−1.70185	+	0.322031i	−0.245641	+	0.0464811i
$49$	−12.1323	−	7.00457i	−1.73318	−	1.00065i
$50$	4.72361	−	1.63937i	0.668019	−	0.231842i
$51$	11.5571	+	0.865936i	1.61832	+	0.121255i
$52$	−1.94108	−	0.905141i	−0.269180	−	0.125521i
$53$	4.45409	+	9.55184i	0.611817	+	1.31205i	0.931231	+	0.364430i	$0.118736\pi$
$53$	4.45409	+	9.55184i	0.611817	+	1.31205i	−0.319414	+	0.947615i	$0.603486\pi$
$54$	0.646312	+	5.15580i	0.0879519	+	0.701616i
$55$	0.744501	+	6.00293i	0.100388	+	0.809435i
$56$		−	4.58357i		−	0.612506i
$57$	7.54892	+	0.117361i	0.999879	+	0.0155448i
$58$	0.803363	−	0.803363i	0.105487	−	0.105487i
$59$	−1.11648	+	6.33190i	−0.145354	+	0.824343i	0.821728	+	0.569879i	$0.193010\pi$
$59$	−1.11648	+	6.33190i	−0.145354	+	0.824343i	−0.967082	+	0.254464i	$0.918101\pi$
$60$	1.46431	−	3.58550i	0.189042	−	0.462886i
$61$	10.8087	+	3.93405i	1.38392	+	0.503704i	0.923363	−	0.383929i	$-0.125429\pi$
$61$	10.8087	+	3.93405i	1.38392	+	0.503704i	0.460552	+	0.887632i	$0.347651\pi$
$62$	−4.49986	+	9.64998i	−0.571483	+	1.22555i
$63$	−13.7240	−	0.856211i	−1.72907	−	0.107872i
$64$	0.866025	−	0.500000i	0.108253	−	0.0625000i
$65$	4.05828	−	2.54278i	0.503368	−	0.315394i
$66$	3.87135	+	2.63937i	0.476531	+	0.324884i
$67$	2.16349	−	3.08978i	0.264312	−	0.377477i	−0.664956	−	0.746882i	$-0.731550\pi$
$67$	2.16349	−	3.08978i	0.264312	−	0.377477i	0.929268	+	0.369406i	$0.120439\pi$
$68$	−6.46323	+	1.73182i	−0.783781	+	0.210014i
$69$	−0.269776	−	0.0686896i	−0.0324772	−	0.00826926i
$70$	8.60249	+	5.57162i	1.02819	+	0.665935i
$71$	−3.25164	−	8.93381i	−0.385899	−	1.06025i	−0.968830	−	0.247727i	$-0.920317\pi$
$71$	−3.25164	−	8.93381i	−0.385899	−	1.06025i	0.582931	−	0.812521i	$-0.301906\pi$
$72$	−1.33532	−	2.68643i	−0.157368	−	0.316599i
$73$	14.2528	−	1.24696i	1.66817	−	0.145946i	0.786427	−	0.617684i	$-0.211929\pi$
$73$	14.2528	−	1.24696i	1.66817	−	0.145946i	0.881739	+	0.471738i	$0.156373\pi$
$74$	−1.06604	+	6.04581i	−0.123925	+	0.702811i
$75$	4.94933	+	7.10663i	0.571499	+	0.820603i
$76$	−4.13619	+	1.37547i	−0.474454	+	0.157777i
$77$	−8.76763	+	8.76763i	−0.999164	+	0.999164i
$78$	0.598527	−	3.66101i	0.0677698	−	0.414528i
$79$	−0.752414	+	0.896692i	−0.0846532	+	0.100886i	−0.806708	−	0.590950i	$-0.798753\pi$
$79$	−0.752414	+	0.896692i	−0.0846532	+	0.100886i	0.722055	+	0.691835i	$0.243198\pi$
$80$	−0.114303	+	2.23314i	−0.0127795	+	0.249673i
$81$	−8.29310	+	3.49635i	−0.921456	+	0.388483i
$82$	−9.19174	−	0.804173i	−1.01506	−	0.0888061i
$83$	2.08228	−	7.77119i	0.228560	−	0.852999i	−0.752386	−	0.658722i	$-0.771097\pi$
$83$	2.08228	−	7.77119i	0.228560	−	0.852999i	0.980947	−	0.194277i	$-0.0622360\pi$
$84$	7.64223	−	2.15030i	0.833836	−	0.234617i
$85$	4.60616	−	14.2354i	0.499608	−	1.54404i
$86$	−0.270205	+	0.0476444i	−0.0291369	+	0.00513763i
$87$	1.71634	+	0.962571i	0.184011	+	0.103198i
$88$	−2.61298	−	0.700147i	−0.278545	−	0.0746359i
$89$	−1.54418	+	1.29572i	−0.163682	+	0.137346i	−0.720950	−	0.692987i	$-0.756294\pi$
$89$	−1.54418	+	1.29572i	−0.163682	+	0.137346i	0.557267	+	0.830333i	$0.311850\pi$
$90$	6.66508	+	0.759395i	0.702561	+	0.0800472i
$91$	9.22483	+	3.35756i	0.967024	+	0.351968i
$92$	0.160113	−	0.0140081i	0.0166929	−	0.00146044i
$93$	−18.2005	−	2.97554i	−1.88731	−	0.308550i
$94$			2.80334i			0.289142i
$95$	2.44630	−	9.43481i	0.250986	−	0.967991i
$96$	1.23993	+	1.20937i	0.126550	+	0.123430i
$97$	−1.15487	+	0.808652i	−0.117260	+	0.0821061i	−0.630735	−	0.775998i	$-0.717247\pi$
$97$	−1.15487	+	0.808652i	−0.117260	+	0.0821061i	0.513476	+	0.858104i	$0.328358\pi$
$98$	1.22098	+	13.9558i	0.123337	+	1.40975i
$99$	−2.58447	+	7.69295i	−0.259749	+	0.773171i
$100$	−4.05224	−	2.92905i	−0.405224	−	0.292905i
$101$	−0.512649	−	0.610951i	−0.0510104	−	0.0607919i	0.739936	−	0.672677i	$-0.234856\pi$
$101$	−0.512649	−	0.610951i	−0.0510104	−	0.0607919i	−0.790946	+	0.611885i	$0.790411\pi$
$102$	−5.91957	−	9.96374i	−0.586125	−	0.986557i
$103$	−1.11940	−	4.17767i	−0.110298	−	0.411638i	0.888594	−	0.458694i	$-0.151683\pi$
$103$	−1.11940	−	4.17767i	−0.110298	−	0.411638i	−0.998892	+	0.0470564i	$0.985016\pi$
$104$	0.371910	+	2.10921i	0.0364688	+	0.206825i
$105$	−5.25390	+	16.9568i	−0.512728	+	1.65482i
$106$	5.26964	−	9.12729i	0.511833	−	0.886521i
$107$	−0.469757	−	0.125871i	−0.0454132	−	0.0121684i	0.236041	−	0.971743i	$-0.424150\pi$
$107$	−0.469757	−	0.125871i	−0.0454132	−	0.0121684i	−0.281454	+	0.959575i	$0.590817\pi$
$108$	3.85268	−	3.48667i	0.370724	−	0.335505i
$109$	−2.51743	−	6.91659i	−0.241126	−	0.662490i	−0.999938	−	0.0111787i	$-0.996442\pi$
$109$	−2.51743	−	6.91659i	−0.241126	−	0.662490i	0.758811	−	0.651311i	$-0.225781\pi$
$110$	4.49028	−	4.05300i	0.428132	−	0.386438i
$111$	−10.5803	+	1.05886i	−1.00424	+	0.100503i
$112$	−3.75464	+	2.62903i	−0.354780	+	0.248420i
$113$	1.86329	+	1.86329i	0.175284	+	0.175284i	0.789296	−	0.614012i	$-0.210446\pi$
$113$	1.86329	+	1.86329i	0.175284	+	0.175284i	−0.614012	+	0.789296i	$0.710446\pi$
$114$	−4.23375	−	6.25103i	−0.396527	−	0.585463i
$115$	−0.168337	+	0.317529i	−0.0156975	+	0.0296098i
$116$	−1.11887	−	0.197286i	−0.103884	−	0.0183176i
$117$	6.38482	−	0.719566i	0.590277	−	0.0665239i
$118$	5.82718	−	2.71726i	0.536435	−	0.250144i
$119$	28.8201	−	10.4897i	2.64194	−	0.961586i
$120$	−3.77696	+	0.857060i	−0.344788	+	0.0782385i
$121$	−1.84106	−	3.18881i	−0.167369	−	0.289891i
$122$	−2.97704	−	11.1105i	−0.269529	−	1.00589i
$123$	−2.97133	−	15.7027i	−0.267916	−	1.41587i
$124$	10.4858	−	1.84893i	0.941654	−	0.166039i
$125$	10.4230	−	4.04484i	0.932263	−	0.361782i
$126$	7.17042	+	11.7332i	0.638792	+	1.04527i
$127$	4.93622	+	0.431864i	0.438019	+	0.0383217i	0.304033	−	0.952662i	$-0.401667\pi$
$127$	4.93622	+	0.431864i	0.438019	+	0.0383217i	0.133986	+	0.990983i	$0.457222\pi$
$128$	−0.906308	−	0.422618i	−0.0801070	−	0.0373545i
$129$	−0.206199	−	0.428163i	−0.0181548	−	0.0376977i
$130$	−4.41066	−	1.86587i	−0.386841	−	0.163647i
$131$	14.3782	+	2.53526i	1.25623	+	0.221507i	0.761857	−	0.647745i	$-0.224288\pi$
$131$	14.3782	+	2.53526i	1.25623	+	0.221507i	0.494370	+	0.869252i	$0.335399\pi$
$132$	−0.0584721	−	4.68511i	−0.00508934	−	0.407786i
$133$	18.3369	−	7.93292i	1.59001	−	0.687871i
$134$	−3.77193			−0.325845
$135$	1.86065	+	11.4690i	0.160140	+	0.987094i
$136$	5.12578	+	4.30104i	0.439532	+	0.368811i
$137$	−16.4557	+	7.67341i	−1.40590	+	0.655584i	−0.969708	−	0.244268i	$-0.921452\pi$
$137$	−16.4557	+	7.67341i	−1.40590	+	0.655584i	−0.436196	+	0.899852i	$0.643674\pi$
$138$	0.0984699	+	0.260386i	0.00838231	+	0.0221655i
$139$	1.73595	+	2.06883i	0.147242	+	0.175476i	0.834624	−	0.550820i	$-0.185685\pi$
$139$	1.73595	+	2.06883i	0.147242	+	0.175476i	−0.687383	+	0.726295i	$0.741240\pi$
$140$	−0.370185	−	10.2425i	−0.0312863	−	0.865649i
$141$	−4.67403	+	1.31513i	−0.393624	+	0.110754i
$142$	−5.45308	+	7.78781i	−0.457613	+	0.653538i
$143$	3.32317	−	4.74597i	0.277897	−	0.396878i
$144$	−1.43469	+	2.63470i	−0.119558	+	0.219559i
$145$	1.73032	−	1.86008i	0.143695	−	0.154472i
$146$	−9.19653	−	10.9600i	−0.761110	−	0.907056i
$147$	−22.6959	+	8.58287i	−1.87192	+	0.707903i
$148$	5.56389	−	2.59449i	0.457349	−	0.213265i
$149$	−4.41914	−	3.70810i	−0.362030	−	0.303779i	0.443569	−	0.896240i	$-0.353712\pi$
$149$	−4.41914	−	3.70810i	−0.362030	−	0.303779i	−0.805599	+	0.592461i	$0.798156\pi$
$150$	2.98259	−	8.13045i	0.243528	−	0.663848i
$151$	6.24101			0.507886			0.253943	−	0.967219i	$-0.418272\pi$
$151$	6.24101			0.507886			0.253943	+	0.967219i	$0.418272\pi$
$152$	3.49914	+	2.59923i	0.283818	+	0.210826i
$153$	13.8356	−	14.5441i	1.11854	−	1.17582i
$154$	12.2109	+	2.15312i	0.983984	+	0.173503i
$155$	−9.27606	+	21.9274i	−0.745071	+	1.76125i
$156$	−3.34223	+	1.60959i	−0.267592	+	0.128870i
$157$	1.47930	+	0.689807i	0.118061	+	0.0550526i	0.480751	−	0.876857i	$-0.340364\pi$
$157$	1.47930	+	0.689807i	0.118061	+	0.0550526i	−0.362691	+	0.931910i	$0.618142\pi$
$158$	1.16609	+	0.102020i	0.0927695	+	0.00811628i
$159$	17.6902	+	4.50422i	1.40292	+	0.357208i
$160$	1.89485	−	1.18725i	0.149801	−	0.0938602i
$161$	−0.725502	+	0.127925i	−0.0571775	+	0.0100819i
$162$	7.62077	+	4.78789i	0.598744	+	0.376172i
$163$	2.74724	+	10.2528i	0.215181	+	0.803065i	0.986103	+	0.166136i	$0.0531289\pi$
$163$	2.74724	+	10.2528i	0.215181	+	0.803065i	−0.770922	+	0.636929i	$0.780204\pi$
$164$	4.61343	+	7.99069i	0.360248	+	0.623968i
$165$	8.86413	+	5.58530i	0.690071	+	0.434815i
$166$	−7.56013	+	2.75166i	−0.586780	+	0.213571i
$167$	14.5764	−	6.79711i	1.12796	−	0.525976i	0.233157	−	0.972439i	$-0.425094\pi$
$167$	14.5764	−	6.79711i	1.12796	−	0.525976i	0.894802	+	0.446463i	$0.147317\pi$
$168$	−6.14482	−	5.02679i	−0.474083	−	0.387825i
$169$	8.28511	+	1.46089i	0.637316	+	0.112376i
$170$	−14.3029	+	4.39192i	−1.09698	+	0.336845i
$171$	8.43621	−	9.99152i	0.645133	−	0.764070i
$172$	0.194011	+	0.194011i	0.0147932	+	0.0147932i
$173$	−13.5389	+	9.48002i	−1.02934	+	0.720753i	−0.960898	−	0.276902i	$-0.910692\pi$
$173$	−13.5389	+	9.48002i	−1.02934	+	0.720753i	−0.0684436	+	0.997655i	$0.521803\pi$
$174$	−0.195958	−	1.95805i	−0.0148556	−	0.148439i
$175$	19.6732	+	11.7556i	1.48715	+	0.888641i
$176$	0.925219	+	2.54202i	0.0697410	+	0.191612i
$177$	7.26422	+	8.44095i	0.546012	+	0.634461i
$178$	1.94709	+	0.521722i	0.145941	+	0.0391047i
$179$	5.69955	−	9.87191i	0.426004	−	0.737861i	−0.570509	−	0.821291i	$-0.693254\pi$
$179$	5.69955	−	9.87191i	0.426004	−	0.737861i	0.996514	+	0.0834298i	$0.0265874\pi$
$180$	−3.20087	−	5.89529i	−0.238579	−	0.439409i
$181$	−1.94801	−	11.0477i	−0.144794	−	0.821169i	−0.967532	−	0.252748i	$-0.918666\pi$
$181$	−1.94801	−	11.0477i	−0.144794	−	0.821169i	0.822738	−	0.568421i	$-0.192445\pi$
$182$	−2.54079	−	9.48235i	−0.188336	−	0.702879i
$183$	17.1279	−	10.1759i	1.26613	−	0.752225i
$184$	−0.103312	−	0.123122i	−0.00761625	−	0.00907669i
$185$	−1.89390	+	13.5961i	−0.139242	+	0.999607i
$186$	8.00196	+	16.6157i	0.586732	+	1.21832i
$187$	−1.57759	−	18.0319i	−0.115365	−	1.31863i
$188$	2.29636	−	1.60793i	0.167479	−	0.117270i
$189$	−16.1990	+	17.4597i	−1.17830	+	1.27001i
$190$	−9.13168	+	3.40769i	−0.662482	+	0.247220i
$191$		−	1.22636i		−	0.0887361i	−0.999015	−	0.0443681i	$-0.985873\pi$
$191$		−	1.22636i		−	0.0887361i	0.999015	−	0.0443681i	$-0.0141274\pi$
$192$	0.279457	−	1.70936i	0.0201681	−	0.123362i
$193$	−24.5765	+	2.15016i	−1.76905	+	0.154772i	−0.924620	−	0.380890i	$-0.875618\pi$
$193$	−24.5765	+	2.15016i	−1.76905	+	0.154772i	−0.844432	+	0.535662i	$0.820062\pi$
$194$	1.32482	+	0.482194i	0.0951163	+	0.0346195i
$195$	1.04180	−	8.22927i	0.0746047	−	0.589310i
$196$	10.7316	−	9.00491i	0.766545	−	0.643208i
$197$	25.3569	+	6.79437i	1.80661	+	0.484078i	0.994978	−	0.100097i	$-0.0319152\pi$
$197$	25.3569	+	6.79437i	1.80661	+	0.484078i	0.811628	+	0.584175i	$0.198582\pi$
$198$	7.78409	−	2.29542i	0.553191	−	0.163129i
$199$	7.11637	−	1.25481i	0.504466	−	0.0889510i	0.0843771	−	0.996434i	$-0.473110\pi$
$199$	7.11637	−	1.25481i	0.504466	−	0.0889510i	0.420089	+	0.907483i	$0.361999\pi$
$200$	−0.0750660	+	4.99944i	−0.00530797	+	0.353514i
$201$	−1.76953	−	6.28896i	−0.124813	−	0.443589i
$202$	−0.206418	+	0.770364i	−0.0145235	+	0.0542026i
$203$	5.18771	+	0.453865i	0.364106	+	0.0318551i
$204$	−4.76649	+	10.5640i	−0.333721	+	0.739628i
$205$	−20.6049	−	1.05466i	−1.43911	−	0.0736604i
$206$	−2.78008	+	3.31317i	−0.193697	+	0.230840i
$207$	−0.387949	+	0.286335i	−0.0269643	+	0.0199017i
$208$	1.51444	−	1.51444i	0.105008	−	0.105008i
$209$	−1.72137	−	11.6652i	−0.119070	−	0.806898i
$210$	16.9037	−	5.42229i	1.16647	−	0.374173i
$211$	−0.0497628	+	0.282219i	−0.00342582	+	0.0194288i	−0.986473	−	0.163925i	$-0.947584\pi$
$211$	−0.0497628	+	0.282219i	−0.00342582	+	0.0194288i	0.983047	+	0.183354i	$0.0586955\pi$
$212$	−10.4992	+	0.918559i	−0.721087	+	0.0630869i
$213$	−15.5429	−	5.43846i	−1.06498	−	0.372637i
$214$	0.166334	+	0.456999i	0.0113704	+	0.0312398i
$215$	−0.599954	+	0.128289i	−0.0409165	+	0.00874925i
$216$	−5.06592	−	1.15605i	−0.344692	−	0.0786595i
$217$	−47.1410	+	12.6314i	−3.20014	+	0.857475i
$218$	−4.22180	+	6.02936i	−0.285936	+	0.408360i
$219$	13.9593	−	20.4751i	0.943283	−	1.38358i
$220$	−5.89554	−	1.35352i	−0.397477	−	0.0912543i
$221$	−12.4109	+	7.16545i	−0.834849	+	0.482001i
$222$	6.93601	+	8.05957i	0.465514	+	0.540923i
$223$	−0.500685	+	1.07372i	−0.0335283	+	0.0719017i	−0.922359	−	0.386335i	$-0.873741\pi$
$223$	−0.500685	+	1.07372i	−0.0335283	+	0.0719017i	0.888830	+	0.458237i	$0.151519\pi$
$224$	4.30715	+	1.56767i	0.287784	+	0.104745i
$225$	14.9552	+	1.15866i	0.997012	+	0.0772437i
$226$	0.457579	−	2.59506i	0.0304377	−	0.172621i
$227$	−8.97184	+	8.97184i	−0.595482	+	0.595482i	−0.939107	−	0.343625i	$-0.888345\pi$
$227$	−8.97184	+	8.97184i	−0.595482	+	0.595482i	0.343625	+	0.939107i	$0.388345\pi$
$228$	−2.69217	+	7.05353i	−0.178293	+	0.467131i
$229$			0.367189i			0.0242645i	0.999926	+	0.0121323i	$0.00386192\pi$
$229$			0.367189i			0.0242645i	−0.999926	+	0.0121323i	$0.996138\pi$
$230$	0.356659	−	0.0442339i	0.0235174	−	0.00291669i
$231$	2.13862	+	21.3695i	0.140711	+	1.40601i
$232$	0.480148	+	1.02968i	0.0315233	+	0.0676019i
$233$	−6.07544	−	2.83302i	−0.398015	−	0.185598i	0.213296	−	0.976988i	$-0.431580\pi$
$233$	−6.07544	−	2.83302i	−0.398015	−	0.185598i	−0.611312	+	0.791390i	$0.709358\pi$
$234$	−4.25162	−	4.81741i	−0.277937	−	0.314924i
$235$	0.226407	+	6.26437i	0.0147692	+	0.408642i
$236$	−5.56818	−	3.21479i	−0.362458	−	0.209265i
$237$	0.376953	+	1.99210i	0.0244857	+	0.129401i
$238$	−25.1232	−	17.5914i	−1.62849	−	1.14028i
$239$	4.43454	−	7.68085i	0.286847	−	0.496833i	−0.686209	−	0.727405i	$-0.740726\pi$
$239$	4.43454	−	7.68085i	0.286847	−	0.496833i	0.973055	+	0.230572i	$0.0740596\pi$
$240$	2.86844	+	2.60232i	0.185157	+	0.167979i
$241$	−16.9403	+	14.2146i	−1.09122	+	0.915645i	−0.996804	−	0.0798875i	$-0.974544\pi$
$241$	−16.9403	+	14.2146i	−1.09122	+	0.915645i	−0.0944193	+	0.995533i	$0.530099\pi$
$242$	−1.55613	+	3.33713i	−0.100032	+	0.214519i
$243$	−4.40774	+	14.9523i	−0.282757	+	0.959192i
$244$	−7.39360	+	8.81135i	−0.473327	+	0.564089i
$245$	3.85553	+	31.0872i	0.246321	+	1.98609i
$246$	−11.1586	+	11.4407i	−0.711449	+	0.729432i
$247$	−7.79437	+	5.13832i	−0.495944	+	0.326944i
$248$	−7.52897	−	7.52897i	−0.478090	−	0.478090i
$249$	−8.13457	−	11.3142i	−0.515507	−	0.717007i
$250$	−9.29174	−	6.21801i	−0.587661	−	0.393261i
$251$	9.01027	−	24.7555i	0.568723	−	1.56255i	−0.237776	−	0.971320i	$-0.576419\pi$
$251$	9.01027	−	24.7555i	0.568723	−	1.56255i	0.806500	−	0.591234i	$-0.201359\pi$
$252$	5.49847	−	12.6035i	0.346371	−	0.793948i
$253$	−0.0378941	+	0.433131i	−0.00238238	+	0.0272307i
$254$	−2.47754	−	4.29123i	−0.155455	−	0.269255i
$255$	−14.0326	−	21.7870i	−0.878758	−	1.36435i
$256$	0.173648	+	0.984808i	0.0108530	+	0.0615505i
$257$	17.2027	+	12.0455i	1.07308	+	0.751376i	0.969953	−	0.243293i	$-0.0782276\pi$
$257$	17.2027	+	12.0455i	1.07308	+	0.751376i	0.103123	+	0.994669i	$0.467117\pi$
$258$	−0.232460	+	0.414493i	−0.0144723	+	0.0258052i
$259$	−24.3690	+	14.0695i	−1.51422	+	0.874234i
$260$	1.00142	+	4.68322i	0.0621055	+	0.290441i
$261$	3.17274	−	1.24530i	0.196388	−	0.0770824i
$262$	−6.17022	−	13.2321i	−0.381197	−	0.817481i
$263$	−0.478857	−	5.47336i	−0.0295276	−	0.337502i	−0.996562	−	0.0828546i	$-0.973596\pi$
$263$	−0.478857	−	5.47336i	−0.0295276	−	0.337502i	0.967034	−	0.254647i	$-0.0819593\pi$
$264$	−3.80428	+	2.73516i	−0.234137	+	0.168338i
$265$	11.0384	−	20.8215i	0.678086	−	1.27906i
$266$	−17.0159	−	10.4706i	−1.04331	−	0.641993i
$267$	0.0435711	+	3.49116i	0.00266651	+	0.213656i
$268$	2.16349	+	3.08978i	0.132156	+	0.188738i
$269$	−3.21870	−	2.70081i	−0.196247	−	0.164671i	0.539369	−	0.842070i	$-0.318663\pi$
$269$	−3.21870	−	2.70081i	−0.196247	−	0.164671i	−0.735616	+	0.677398i	$0.763107\pi$
$270$	8.32763	−	8.10251i	0.506803	−	0.493103i
$271$	−13.9711	+	5.08506i	−0.848683	+	0.308895i	−0.729503	−	0.683978i	$-0.760249\pi$
$271$	−13.9711	+	5.08506i	−0.848683	+	0.308895i	−0.119179	+	0.992873i	$0.538026\pi$
$272$	0.583179	−	6.66576i	0.0353604	−	0.404171i
$273$	14.6180	−	8.68475i	0.884724	−	0.525625i
$274$	15.7243	+	9.07842i	0.949938	+	0.548447i
$275$	9.70669	−	9.41951i	0.585336	−	0.568018i
$276$	0.156816	−	0.230013i	0.00943921	−	0.0138452i
$277$	27.2026	−	7.28893i	1.63445	−	0.437949i	0.679248	−	0.733909i	$-0.262306\pi$
$277$	27.2026	−	7.28893i	1.63445	−	0.437949i	0.955200	+	0.295960i	$0.0956394\pi$
$278$	0.698983	−	2.60864i	0.0419222	−	0.156456i
$279$	−23.9495	+	21.1367i	−1.43382	+	1.26542i
$280$	−8.17783	+	6.17809i	−0.488719	+	0.369212i
$281$	5.45399	−	14.9847i	0.325357	−	0.893912i	−0.663912	−	0.747811i	$-0.731105\pi$
$281$	5.45399	−	14.9847i	0.325357	−	0.893912i	0.989270	−	0.146102i	$-0.0466727\pi$
$282$	3.75821	+	3.07441i	0.223798	+	0.183078i
$283$	17.7602	+	25.3643i	1.05574	+	1.50775i	0.848311	+	0.529498i	$0.177620\pi$
$283$	17.7602	+	25.3643i	1.05574	+	1.50775i	0.207425	+	0.978251i	$0.433492\pi$
$284$	9.50716			0.564146
$285$	−9.96562	−	13.6267i	−0.590313	−	0.807175i
$286$	−5.79377			−0.342593
$287$	−24.2577	−	34.6436i	−1.43189	−	2.04494i
$288$	2.98113	−	0.335972i	0.175665	−	0.0197973i
$289$	−9.49875	+	26.0976i	−0.558750	+	1.53515i
$290$	−2.51616	−	0.350494i	−0.147754	−	0.0205817i
$291$	−0.182453	+	2.43509i	−0.0106956	+	0.142748i
$292$	−3.70299	+	13.8197i	−0.216701	+	0.808740i
$293$	−1.33562	+	0.357878i	−0.0780276	+	0.0209074i	−0.297622	−	0.954684i	$-0.596193\pi$
$293$	−1.33562	+	0.357878i	−0.0780276	+	0.0209074i	0.219594	+	0.975591i	$0.429527\pi$
$294$	20.0485	+	13.6684i	1.16925	+	0.797160i
$295$	12.8020	−	6.54263i	0.745362	−	0.380927i
$296$	−5.31660	−	3.06954i	−0.309021	−	0.178413i
$297$	7.47893	+	11.9016i	0.433972	+	0.690602i
$298$	−0.502782	+	5.74682i	−0.0291254	+	0.332904i
$299$	0.323472	−	0.117734i	0.0187069	−	0.00680874i
$300$	−8.37082	+	2.22023i	−0.483289	+	0.128185i
$301$	−0.963385	−	0.808376i	−0.0555286	−	0.0465940i
$302$	−3.57970	−	5.11234i	−0.205988	−	0.294182i
$303$	−1.38127	+	0.0172388i	−0.0793520	+	0.000990345i
$304$	0.122143	−	4.35719i	0.00700539	−	0.249902i
$305$	−7.54984	−	24.5871i	−0.432303	−	1.40785i
$306$	−19.8495	−	2.99130i	−1.13472	−	0.171002i
$307$	1.73605	+	19.8431i	0.0990816	+	1.13251i	0.869151	+	0.494547i	$0.164666\pi$
$307$	1.73605	+	19.8431i	0.0990816	+	1.13251i	−0.770069	+	0.637960i	$0.779778\pi$
$308$	−5.24017	−	11.2376i	−0.298586	−	0.640320i
$309$	−6.82830	−	3.08094i	−0.388448	−	0.175268i
$310$	23.2824	−	4.97851i	1.32235	−	0.282760i
$311$	2.42891	−	1.40233i	0.137731	−	0.0795190i	−0.429551	−	0.903043i	$-0.641328\pi$
$311$	2.42891	−	1.40233i	0.137731	−	0.0795190i	0.567282	+	0.823523i	$0.307995\pi$
$312$	3.23552	+	1.81457i	0.183175	+	0.102730i
$313$	−22.6576	−	15.8650i	−1.28068	−	0.896743i	−0.282636	−	0.959227i	$-0.591209\pi$
$313$	−22.6576	−	15.8650i	−1.28068	−	0.896743i	−0.998046	+	0.0624845i	$0.980098\pi$
$314$	−0.283432	−	1.60742i	−0.0159950	−	0.0907122i
$315$	16.9707	+	25.6400i	0.956190	+	1.44465i
$316$	−0.585274	−	1.01372i	−0.0329243	−	0.0570265i
$317$	−0.0355486	+	0.406323i	−0.00199661	+	0.0228214i	−0.997128	−	0.0757393i	$-0.975868\pi$
$317$	−0.0355486	+	0.406323i	−0.00199661	+	0.0228214i	0.995131	+	0.0985607i	$0.0314239\pi$
$318$	−6.45701	−	17.0744i	−0.362091	−	0.957487i
$319$	1.05117	−	2.88806i	0.0588540	−	0.161700i
$320$	−2.05938	−	0.871190i	−0.115123	−	0.0487010i
$321$	−0.683926	+	0.491723i	−0.0381730	+	0.0274453i
$322$	0.520921	+	0.520921i	0.0290298	+	0.0290298i
$323$	−8.33529	+	27.9500i	−0.463788	+	1.55518i
$324$	−0.449085	−	8.98879i	−0.0249492	−	0.499377i
$325$	−10.0068	−	3.81327i	−0.555077	−	0.211522i
$326$	6.82288	−	8.13120i	0.377885	−	0.450345i
$327$	−12.0334	−	4.21048i	−0.665447	−	0.232840i
$328$	3.89944	−	8.36237i	0.215310	−	0.461735i
$329$	−9.84314	+	8.25938i	−0.542670	+	0.455354i
$330$	−0.509047	−	10.4647i	−0.0280221	−	0.576061i
$331$	4.47060	−	7.74331i	0.245727	−	0.425611i	−0.716609	−	0.697475i	$-0.754307\pi$
$331$	4.47060	−	7.74331i	0.245727	−	0.425611i	0.962336	+	0.271864i	$0.0876401\pi$
$332$	6.59035	+	4.61461i	0.361692	+	0.253260i
$333$	−10.1839	+	15.3455i	−0.558074	+	0.840926i
$334$	−13.9286	−	8.04166i	−0.762137	−	0.440020i
$335$	−8.42878	+	0.304634i	−0.460513	+	0.0166439i
$336$	−0.593177	+	7.91679i	−0.0323605	+	0.431896i
$337$	15.3669	+	7.16570i	0.837088	+	0.390341i	0.793397	−	0.608704i	$-0.208310\pi$
$337$	15.3669	+	7.16570i	0.837088	+	0.390341i	0.0436912	+	0.999045i	$0.486088\pi$
$338$	−3.55545	−	7.62470i	−0.193391	−	0.414729i
$339$	4.54143	−	0.454499i	0.246657	−	0.0246850i
$340$	11.8015	+	9.19716i	0.640025	+	0.498786i
$341$			28.8034i			1.55979i
$342$	−13.0234	−	1.17964i	−0.704224	−	0.0637876i
$343$	−22.7172	+	22.7172i	−1.22661	+	1.22661i
$344$	0.0476444	−	0.270205i	0.00256881	−	0.0145685i
$345$	0.241071	+	0.573909i	0.0129788	+	0.0308982i
$346$	15.5312	+	5.65288i	0.834960	+	0.303901i
$347$	−5.57196	+	11.9491i	−0.299118	+	0.641461i	−0.997218	−	0.0745393i	$-0.976251\pi$
$347$	−5.57196	+	11.9491i	−0.299118	+	0.641461i	0.698100	+	0.716000i	$0.254029\pi$
$348$	−1.49154	+	1.28361i	−0.0799551	+	0.0688087i
$349$	−19.1057	+	11.0307i	−1.02270	+	0.590458i	−0.914886	−	0.403713i	$-0.867719\pi$
$349$	−19.1057	+	11.0307i	−1.02270	+	0.590458i	−0.107817	+	0.994171i	$0.534386\pi$
$350$	−1.65444	−	22.8581i	−0.0884334	−	1.22182i
$351$	6.03754	−	9.34875i	0.322260	−	0.499000i
$352$	1.55162	−	2.21594i	0.0827014	−	0.118110i
$353$	6.48872	−	1.73865i	0.345360	−	0.0925389i	−0.0819698	−	0.996635i	$-0.526121\pi$
$353$	6.48872	−	1.73865i	0.345360	−	0.0925389i	0.427329	+	0.904096i	$0.359454\pi$
$354$	2.74784	−	10.7920i	0.146046	−	0.573590i
$355$	−11.5565	+	17.8431i	−0.613357	+	0.947014i
$356$	−0.689437	−	1.89421i	−0.0365401	−	0.100393i
$357$	17.5443	−	50.1407i	0.928541	−	2.65373i
$358$	−11.3557	+	0.993497i	−0.600169	+	0.0525080i
$359$	−0.520884	+	2.95408i	−0.0274912	+	0.155910i	−0.995463	−	0.0951481i	$-0.969668\pi$
$359$	−0.520884	+	2.95408i	−0.0274912	+	0.155910i	0.967972	+	0.251058i	$0.0807786\pi$
$360$	−2.99319	+	6.00340i	−0.157755	+	0.316407i
$361$	−4.34236	+	18.4971i	−0.228545	+	0.973533i
$362$	−7.93241	+	7.93241i	−0.416918	+	0.416918i
$363$	−6.29405	−	1.02899i	−0.330352	−	0.0540082i
$364$	−6.31015	+	7.52015i	−0.330742	+	0.394163i
$365$	−21.4358	−	23.7486i	−1.12200	−	1.24306i
$366$	−18.1598	−	8.19373i	−0.949228	−	0.428293i
$367$	13.4226	+	1.17432i	0.700653	+	0.0612992i	0.431915	−	0.901914i	$-0.357838\pi$
$367$	13.4226	+	1.17432i	0.700653	+	0.0612992i	0.268738	+	0.963213i	$0.413393\pi$
$368$	−0.0415986	+	0.155248i	−0.00216848	+	0.00809287i
$369$	−24.3100	−	13.2377i	−1.26553	−	0.689127i
$370$	12.2236	−	6.24702i	0.635474	−	0.324767i
$371$	47.5737	−	8.38852i	2.46990	−	0.435510i
$372$	9.02104	−	16.0852i	0.467719	−	0.833978i
$373$	5.31648	+	1.42455i	0.275277	+	0.0737602i	0.393816	−	0.919189i	$-0.371155\pi$
$373$	5.31648	+	1.42455i	0.275277	+	0.0737602i	−0.118540	+	0.992949i	$0.537821\pi$
$374$	−13.8660	+	11.6350i	−0.716996	+	0.601631i
$375$	6.00829	−	18.4092i	0.310267	−	0.950650i
$376$	−2.63428	−	0.958798i	−0.135852	−	0.0494462i
$377$	−2.42404	+	0.212076i	−0.124844	+	0.0109225i
$378$	23.5935	+	3.25493i	1.21352	+	0.167416i
$379$			12.3242i			0.633052i	0.948584	+	0.316526i	$0.102516\pi$
$379$			12.3242i			0.633052i	−0.948584	+	0.316526i	$0.897484\pi$
$380$	8.02913	+	5.52567i	0.411886	+	0.283461i
$381$	5.99250	−	6.14397i	0.307005	−	0.314765i
$382$	−1.00457	+	0.703410i	−0.0513985	+	0.0359896i
$383$	−0.252168	−	2.88230i	−0.0128852	−	0.147278i	0.987027	−	0.160557i	$-0.0513289\pi$
$383$	−0.252168	−	2.88230i	−0.0128852	−	0.147278i	−0.999912	+	0.0132781i	$0.995773\pi$
$384$	−1.56051	+	0.751529i	−0.0796346	+	0.0383513i
$385$	27.4605	+	3.82517i	1.39952	+	0.194949i
$386$	15.8578	+	18.8986i	0.807140	+	0.961912i
$387$	−0.800141	−	0.193130i	−0.0406735	−	0.00981735i
$388$	−0.364894	−	1.36180i	−0.0185247	−	0.0691350i
$389$	−2.99053	−	16.9601i	−0.151626	−	0.859912i	−0.961806	−	0.273732i	$-0.911742\pi$
$389$	−2.99053	−	16.9601i	−0.151626	−	0.859912i	0.810180	−	0.586181i	$-0.199369\pi$
$390$	−7.33857	+	3.86672i	−0.371603	+	0.195799i
$391$	0.537723	−	0.931363i	0.0271938	−	0.0471010i
$392$	−13.5318	−	3.62583i	−0.683459	−	0.183132i
$393$	19.1673	−	16.4952i	0.966863	−	0.832075i
$394$	−8.97851	−	24.6683i	−0.452331	−	1.24277i
$395$	2.61400	+	0.133797i	0.131525	+	0.00673206i
$396$	−6.34507	−	5.05975i	−0.318852	−	0.254262i
$397$	2.75160	−	1.92669i	0.138099	−	0.0966977i	−0.502486	−	0.864586i	$-0.667581\pi$
$397$	2.75160	−	1.92669i	0.138099	−	0.0966977i	0.640584	+	0.767888i	$0.278692\pi$
$398$	−5.10966	−	5.10966i	−0.256124	−	0.256124i
$399$	9.47501	−	33.2828i	0.474344	−	1.66622i
$400$	4.13835	−	2.80607i	0.206918	−	0.140303i
$401$	−6.46454	−	1.13987i	−0.322824	−	0.0569225i	0.00988810	−	0.999951i	$-0.496852\pi$
$401$	−6.46454	−	1.13987i	−0.322824	−	0.0569225i	−0.332712	+	0.943029i	$0.607964\pi$
$402$	−4.13666	+	5.05671i	−0.206318	+	0.252206i
$403$	20.6678	−	9.63756i	1.02954	−	0.480081i
$404$	0.749442	−	0.272775i	0.0372861	−	0.0135710i
$405$	17.4161	+	10.0836i	0.865414	+	0.501057i
$406$	−2.60376	−	4.50985i	−0.129222	−	0.223820i
$407$	4.29826	+	16.0413i	0.213057	+	0.795138i
$408$	11.3875	−	2.15478i	0.563764	−	0.106677i
$409$	−22.4908	+	3.96574i	−1.11210	+	0.196093i	−0.699370	−	0.714760i	$-0.746536\pi$
$409$	−22.4908	+	3.96574i	−1.11210	+	0.196093i	−0.412731	+	0.910853i	$0.635425\pi$
$410$	10.9546	+	17.4835i	0.541007	+	0.863447i
$411$	−7.75976	+	30.4762i	−0.382761	+	1.50328i
$412$	4.30858	+	0.376952i	0.212269	+	0.0185711i
$413$	26.7093	+	12.4548i	1.31428	+	0.612858i
$414$	0.457070	+	0.153554i	0.0224638	+	0.00754677i
$415$	−16.6717	+	6.75947i	−0.818382	+	0.331810i
$416$	−2.10921	−	0.371910i	−0.103412	−	0.0182344i
$417$	4.67732	−	0.0583749i	0.229049	−	0.00285863i
$418$	−8.56823	+	8.10095i	−0.419086	+	0.396230i
$419$	15.2153			0.743317			0.371659	−	0.928369i	$-0.378789\pi$
$419$	15.2153			0.743317			0.371659	+	0.928369i	$0.378789\pi$
$420$	−14.1373	−	10.7366i	−0.689828	−	0.523894i
$421$	28.1340	+	23.6072i	1.37117	+	1.15054i	0.972354	+	0.233511i	$0.0750216\pi$
$421$	28.1340	+	23.6072i	1.37117	+	1.15054i	0.398811	+	0.917033i	$0.369423\pi$
$422$	0.259723	−	0.121111i	0.0126431	−	0.00589559i
$423$	−3.36290	+	7.70839i	−0.163510	+	0.374795i
$424$	6.77452	+	8.07356i	0.329000	+	0.392087i
$425$	−31.6067	+	10.9694i	−1.53315	+	0.532093i
$426$	4.46011	+	15.8514i	0.216093	+	0.768001i
$427$	30.2402	−	43.1874i	1.46342	−	2.08999i
$428$	0.278947	−	0.398377i	0.0134834	−	0.0192563i
$429$	−2.71804	−	9.65999i	−0.131228	−	0.466389i
$430$	0.449208	+	0.417870i	0.0216627	+	0.0201515i
$431$	5.22845	+	6.23102i	0.251845	+	0.300138i	0.877124	−	0.480264i	$-0.159459\pi$
$431$	5.22845	+	6.23102i	0.251845	+	0.300138i	−0.625279	+	0.780402i	$0.715015\pi$
$432$	1.95871	+	4.81284i	0.0942384	+	0.231558i
$433$	−21.0634	+	9.82201i	−1.01224	+	0.472016i	−0.856701	−	0.515814i	$-0.827490\pi$
$433$	−21.0634	+	9.82201i	−1.01224	+	0.472016i	−0.155540	+	0.987830i	$0.549712\pi$
$434$	37.3860	+	31.3706i	1.79459	+	1.50584i
$435$	−0.596029	−	4.35965i	−0.0285774	−	0.209029i
$436$	7.36049			0.352503
$437$	0.313755	−	0.626398i	0.0150089	−	0.0299647i
$438$	−24.7790	+	0.309252i	−1.18398	+	0.0147766i
$439$	−16.8014	−	2.96255i	−0.801889	−	0.141395i	−0.242340	−	0.970191i	$-0.577915\pi$
$439$	−16.8014	−	2.96255i	−0.801889	−	0.141395i	−0.559550	+	0.828797i	$0.689026\pi$
$440$	2.27280	+	5.60569i	0.108352	+	0.267241i
$441$	−13.3841	+	39.8393i	−0.637340	+	1.89711i
$442$	12.9882	+	6.05650i	0.617786	+	0.288078i
$443$	10.4650	+	0.915567i	0.497206	+	0.0434999i	0.333001	−	0.942926i	$-0.391939\pi$
$443$	10.4650	+	0.915567i	0.497206	+	0.0434999i	0.164205	+	0.986426i	$0.447494\pi$
$444$	2.62368	−	10.3044i	0.124515	−	0.489026i
$445$	4.39313	+	1.00859i	0.208254	+	0.0478118i
$446$	1.16672	−	0.205725i	0.0552459	−	0.00974135i
$447$	−9.81759	+	1.85772i	−0.464356	+	0.0878672i
$448$	−1.18632	−	4.42739i	−0.0560482	−	0.209175i
$449$	18.2635	+	31.6332i	0.861906	+	1.49286i	0.870087	+	0.492898i	$0.164062\pi$
$449$	18.2635	+	31.6332i	0.861906	+	1.49286i	−0.00818125	+	0.999967i	$0.502604\pi$
$450$	−7.62883	−	12.9151i	−0.359626	−	0.608826i
$451$	−23.4548	+	8.53686i	−1.10444	+	0.401985i
$452$	−2.38821	+	1.11364i	−0.112332	+	0.0523812i
$453$	6.84449	−	8.36682i	0.321582	−	0.393107i
$454$	12.4953	+	2.20327i	0.586435	+	0.103404i
$455$	−6.44350	−	20.9841i	−0.302076	−	0.983752i
$456$	7.32207	−	1.84044i	0.342888	−	0.0861866i
$457$	−4.48280	−	4.48280i	−0.209697	−	0.209697i	0.594442	−	0.804139i	$-0.297373\pi$
$457$	−4.48280	−	4.48280i	−0.209697	−	0.209697i	−0.804139	+	0.594442i	$0.797373\pi$
$458$	0.300784	−	0.210611i	0.0140547	−	0.00984121i
$459$	−4.32462	−	34.4986i	−0.201856	−	1.61026i
$460$	−0.240805	−	0.266786i	−0.0112276	−	0.0124390i
$461$	−3.28551	−	9.02687i	−0.153022	−	0.420423i	0.839368	−	0.543564i	$-0.182926\pi$
$461$	−3.28551	−	9.02687i	−0.153022	−	0.420423i	−0.992389	+	0.123141i	$0.960703\pi$
$462$	16.2782	−	14.0089i	0.757329	−	0.651752i
$463$	22.7448	+	6.09445i	1.05704	+	0.283233i	0.745158	−	0.666888i	$-0.232374\pi$
$463$	22.7448	+	6.09445i	1.05704	+	0.283233i	0.311882	+	0.950121i	$0.399041\pi$
$464$	0.568064	−	0.983915i	0.0263717	−	0.0456771i
$465$	19.2232	+	36.4833i	0.891455	+	1.69187i
$466$	1.16405	+	6.60166i	0.0539236	+	0.305816i
$467$	3.14705	+	11.7450i	0.145628	+	0.543492i	0.999727	+	0.0233803i	$0.00744286\pi$
$467$	3.14705	+	11.7450i	0.145628	+	0.543492i	−0.854099	+	0.520111i	$0.825890\pi$
$468$	−1.50757	+	6.24588i	−0.0696873	+	0.288716i
$469$	−11.1131	−	13.2441i	−0.513155	−	0.611554i
$470$	5.00161	−	3.77855i	0.230707	−	0.174292i
$471$	2.54711	−	1.22666i	0.117364	−	0.0565216i
$472$	0.560375	+	6.40511i	0.0257933	+	0.294819i
$473$	−0.607993	+	0.425722i	−0.0279556	+	0.0195747i
$474$	1.41562	−	1.45140i	0.0650216	−	0.0666651i
$475$	−20.1305	+	8.35236i	−0.923652	+	0.383232i
$476$			30.6697i			1.40574i
$477$	25.4392	−	18.7760i	1.16478	−	0.859693i
$478$	−8.83534	+	0.772992i	−0.404119	+	0.0353558i
$479$	−33.0878	−	12.0430i	−1.51182	−	0.550257i	−0.552730	−	0.833360i	$-0.686414\pi$
$479$	−33.0878	−	12.0430i	−1.51182	−	0.550257i	−0.959089	+	0.283103i	$0.908636\pi$
$480$	0.486424	−	3.84232i	0.0222021	−	0.175377i
$481$	10.0722	−	8.45160i	0.459254	−	0.385360i
$482$	21.3605	+	5.72354i	0.972945	+	0.260700i
$483$	−0.624155	+	1.11292i	−0.0284001	+	0.0506394i
$484$	3.62618	−	0.639393i	0.164826	−	0.0290633i
$485$	2.99939	+	0.970518i	0.136195	+	0.0440690i
$486$	14.7764	−	4.96569i	0.670271	−	0.225248i
$487$	0.785398	−	2.93115i	0.0355898	−	0.132823i	−0.945845	−	0.324618i	$-0.894764\pi$
$487$	0.785398	−	2.93115i	0.0355898	−	0.132823i	0.981435	+	0.191795i	$0.0614309\pi$
$488$	11.4586	+	1.00250i	0.518708	+	0.0453811i
$489$	16.7580	+	7.56125i	0.757825	+	0.341932i
$490$	23.2537	−	20.9892i	1.05050	−	0.948194i
$491$	−2.68440	+	3.19914i	−0.121145	+	0.144375i	−0.823208	−	0.567740i	$-0.807818\pi$
$491$	−2.68440	+	3.19914i	−0.121145	+	0.144375i	0.702063	+	0.712115i	$0.252262\pi$
$492$	15.7720	+	2.57851i	0.711057	+	0.116248i
$493$	−5.37548	+	5.37548i	−0.242100	+	0.242100i
$494$	8.67973	+	3.43755i	0.390520	+	0.154663i
$495$	17.2090	−	5.75804i	0.773487	−	0.258805i
$496$	−1.84893	+	10.4858i	−0.0830195	+	0.470827i
$497$	−43.4109	+	3.79797i	−1.94725	+	0.170362i
$498$	−4.60224	+	13.1530i	−0.206231	+	0.589400i
$499$	−13.3857	−	36.7768i	−0.599225	−	1.64636i	−0.752822	−	0.658224i	$-0.771308\pi$
$499$	−13.3857	−	36.7768i	−0.599225	−	1.64636i	0.153597	−	0.988134i	$-0.450914\pi$
$500$	0.236028	+	11.1778i	0.0105555	+	0.499889i
$501$	6.87360	−	26.9958i	0.307090	−	1.20608i
$502$	−25.4466	+	6.81840i	−1.13574	+	0.304320i
$503$	−5.46637	+	7.80679i	−0.243733	+	0.348087i	−0.922316	−	0.386437i	$-0.873706\pi$
$503$	−5.46637	+	7.80679i	−0.243733	+	0.348087i	0.678582	+	0.734524i	$0.262595\pi$
$504$	−13.4780	+	2.72501i	−0.600358	+	0.121381i
$505$	−0.399047	+	1.73813i	−0.0177574	+	0.0773459i
$506$	0.376536	−	0.217393i	0.0167390	−	0.00966429i
$507$	11.0447	−	9.50502i	0.490514	−	0.422133i
$508$	−2.09411	+	4.49083i	−0.0929110	+	0.199248i
$509$	−21.5817	−	7.85509i	−0.956591	−	0.348171i	−0.183894	−	0.982946i	$-0.558870\pi$
$509$	−21.5817	−	7.85509i	−0.956591	−	0.348171i	−0.772697	+	0.634775i	$0.781093\pi$
$510$	−9.79806	+	23.9914i	−0.433865	+	1.06236i
$511$	11.3876	−	64.5821i	0.503756	−	2.85694i
$512$	0.707107	−	0.707107i	0.0312500	−	0.0312500i
$513$	−4.14285	−	22.2674i	−0.182911	−	0.983129i
$514$		−	21.0006i		−	0.926298i
$515$	−5.94481	+	7.62817i	−0.261960	+	0.336137i
$516$	0.472866	−	0.0473236i	0.0208168	−	0.00208331i
$517$	3.20492	+	6.87296i	0.140952	+	0.302273i
$518$	25.5025	+	11.8920i	1.12052	+	0.522505i
$519$	−2.13894	+	28.5472i	−0.0938890	+	1.25308i
$520$	3.26188	−	3.50650i	0.143043	−	0.153770i
$521$	−23.1487	−	13.3649i	−1.01416	−	0.585527i	−0.101755	−	0.994809i	$-0.532446\pi$
$521$	−23.1487	−	13.3649i	−1.01416	−	0.585527i	−0.912408	+	0.409282i	$0.865779\pi$
$522$	−2.83990	−	1.88468i	−0.124299	−	0.0824902i
$523$	22.7726	+	15.9455i	0.995775	+	0.697249i	0.953355	−	0.301851i	$-0.0976044\pi$
$523$	22.7726	+	15.9455i	0.995775	+	0.697249i	0.0424200	+	0.999100i	$0.486493\pi$
$524$	−7.29999	+	12.6440i	−0.318902	+	0.552354i
$525$	37.3353	−	13.4819i	1.62945	−	0.588398i
$526$	−4.20885	+	3.53164i	−0.183515	+	0.153987i
$527$	30.1096	−	64.5702i	1.31159	−	2.81272i
$528$	4.42256	+	1.54746i	0.192467	+	0.0673444i
$529$	14.7675	−	17.5992i	0.642066	−	0.765184i
$530$	−23.3874	+	2.90057i	−1.01588	+	0.125993i
$531$	19.2827	−	0.481388i	0.836799	−	0.0208905i
$532$	1.18291	+	19.9443i	0.0512856	+	0.864694i
$533$	13.9736	+	13.9736i	0.605262	+	0.605262i
$534$	2.83480	−	2.03814i	0.122674	−	0.0881989i
$535$	0.408601	+	1.00778i	0.0176653	+	0.0435702i
$536$	1.29007	−	3.54445i	0.0557227	−	0.153097i
$537$	−6.98379	−	18.4674i	−0.301373	−	0.796928i
$538$	−0.366203	+	4.18572i	−0.0157881	+	0.180459i
$539$	18.9485	+	32.8197i	0.816169	+	1.41365i
$540$	−11.4137	−	2.17419i	−0.491168	−	0.0935621i
$541$	3.43825	+	19.4993i	0.147822	+	0.838340i	0.965058	+	0.262037i	$0.0843941\pi$
$541$	3.43825	+	19.4993i	0.147822	+	0.838340i	−0.817236	+	0.576303i	$0.804495\pi$
$542$	12.1789	+	8.52777i	0.523129	+	0.366299i
$543$	−16.9471	−	9.50443i	−0.727270	−	0.407874i
$544$	−5.79477	+	3.34561i	−0.248449	+	0.143442i
$545$	−8.94712	+	13.8142i	−0.383253	+	0.591736i
$546$	−15.4987	−	6.99303i	−0.663283	−	0.299274i
$547$	13.5365	+	29.0290i	0.578777	+	1.24119i	0.949884	+	0.312602i	$0.101201\pi$
$547$	13.5365	+	29.0290i	0.578777	+	1.24119i	−0.371107	+	0.928590i	$0.621022\pi$
$548$	−1.58247	−	18.0877i	−0.0675999	−	0.772670i
$549$	5.14214	−	34.1219i	0.219461	−	1.45629i
$550$	−13.2835	−	2.54845i	−0.566412	−	0.108666i
$551$	−3.28831	+	3.70296i	−0.140087	+	0.157752i
$552$	−0.278362	+	0.00347407i	−0.0118479	+	0.000147866i
$553$	3.07741	+	4.39499i	0.130865	+	0.186894i
$554$	−21.5735	−	18.1023i	−0.916572	−	0.769095i
$555$	16.1502	+	17.4498i	0.685537	+	0.740703i
$556$	−2.53779	+	0.923681i	−0.107626	+	0.0391728i
$557$	−1.23394	+	14.1040i	−0.0522837	+	0.597605i	0.924185	+	0.381945i	$0.124746\pi$
$557$	−1.23394	+	14.1040i	−0.0522837	+	0.597605i	−0.976469	+	0.215660i	$0.930810\pi$
$558$	31.0510	+	7.49478i	1.31449	+	0.317279i
$559$	0.508909	+	0.293819i	0.0215246	+	0.0124272i
$560$	9.75141	+	3.15528i	0.412072	+	0.133335i
$561$	−25.9041	−	17.6606i	−1.09367	−	0.745632i
$562$	−15.4030	+	4.12723i	−0.649737	+	0.174097i
$563$	−1.63609	+	6.10599i	−0.0689531	+	0.257337i	−0.991794	−	0.127844i	$-0.959194\pi$
$563$	−1.63609	+	6.10599i	−0.0689531	+	0.257337i	0.922841	+	0.385181i	$0.125861\pi$
$564$	0.362790	−	4.84195i	0.0152762	−	0.203883i
$565$	0.812925	−	5.83590i	0.0342000	−	0.245518i
$566$	10.5903	−	29.0967i	0.445145	−	1.22302i
$567$	5.64147	+	40.8646i	0.236919	+	1.71615i
$568$	−5.45308	−	7.78781i	−0.228806	−	0.326769i
$569$	36.7747			1.54167			0.770837	−	0.637032i	$-0.219838\pi$
$569$	36.7747			1.54167			0.770837	+	0.637032i	$0.219838\pi$
$570$	−5.44627	+	15.9793i	−0.228119	+	0.669299i
$571$	−20.1960			−0.845178			−0.422589	−	0.906321i	$-0.638879\pi$
$571$	−20.1960			−0.845178			−0.422589	+	0.906321i	$0.638879\pi$
$572$	3.32317	+	4.74597i	0.138949	+	0.198439i
$573$	−1.64408	−	1.34494i	−0.0686823	−	0.0561857i
$574$	−14.4647	+	39.7415i	−0.603745	+	1.65878i
$575$	0.793421	−	0.127650i	0.0330879	−	0.00532339i
$576$	−1.98512	−	2.24929i	−0.0827132	−	0.0937205i
$577$	1.41430	−	5.27825i	0.0588782	−	0.219736i	−0.930218	−	0.367008i	$-0.880382\pi$
$577$	1.41430	−	5.27825i	0.0588782	−	0.219736i	0.989096	+	0.147271i	$0.0470490\pi$
$578$	26.8262	−	7.18805i	1.11582	−	0.298983i
$579$	−24.0704	+	35.3057i	−1.00033	+	1.46726i
$580$	1.15610	+	2.26216i	0.0480046	+	0.0939309i
$581$	−31.9359	−	18.4382i	−1.32492	−	0.764944i
$582$	2.09936	−	1.24725i	0.0870213	−	0.0517003i
$583$	2.48485	−	28.4019i	0.102912	−	1.17629i
$584$	13.4444	−	4.89337i	0.556334	−	0.202489i
$585$	−9.88977	−	10.4217i	−0.408892	−	0.430883i
$586$	1.05924	+	0.888804i	0.0437566	+	0.0367161i
$587$	−8.57051	−	12.2400i	−0.353743	−	0.505197i	0.602362	−	0.798223i	$-0.294227\pi$
$587$	−8.57051	−	12.2400i	−0.353743	−	0.505197i	−0.956104	+	0.293026i	$0.905338\pi$
$588$	−0.302808	−	24.2627i	−0.0124876	−	1.00058i
$589$	17.0896	−	43.1508i	0.704165	−	1.77800i
$590$	−12.7023	−	6.73409i	−0.522947	−	0.277238i
$591$	36.9175	−	26.5426i	1.51858	−	1.09182i
$592$	0.535056	+	6.11572i	0.0219907	+	0.251354i
$593$	12.3482	+	26.4807i	0.507079	+	1.08743i	0.978636	+	0.205599i	$0.0659142\pi$
$593$	12.3482	+	26.4807i	0.507079	+	1.08743i	−0.471558	+	0.881835i	$0.656308\pi$
$594$	5.45949	−	12.9529i	0.224006	−	0.531463i
$595$	−57.5612	−	37.2809i	−2.35978	−	1.52837i
$596$	4.99590	−	2.88439i	0.204640	−	0.118149i
$597$	6.12228	−	10.9165i	0.250568	−	0.446782i
$598$	−0.281978	−	0.197443i	−0.0115309	−	0.00807405i
$599$	1.28585	+	7.29240i	0.0525383	+	0.297960i	0.999743	−	0.0226699i	$-0.00721668\pi$
$599$	1.28585	+	7.29240i	0.0525383	+	0.297960i	−0.947205	+	0.320629i	$0.896106\pi$
$600$	6.62001	+	5.58350i	0.270261	+	0.227945i
$601$	−19.0034	−	32.9148i	−0.775164	−	1.34262i	−0.934702	−	0.355431i	$-0.884334\pi$
$601$	−19.0034	−	32.9148i	−0.775164	−	1.34262i	0.159538	−	0.987192i	$-0.448999\pi$
$602$	−0.109608	+	1.25282i	−0.00446728	+	0.0510613i
$603$	−10.3717	−	4.52482i	−0.422370	−	0.184265i
$604$	−2.13455	+	5.86463i	−0.0868537	+	0.238629i
$605$	−3.20782	+	7.58286i	−0.130417	+	0.308287i
$606$	0.806386	+	1.12158i	0.0327572	+	0.0455612i
$607$	25.7984	+	25.7984i	1.04713	+	1.04713i	0.998833	+	0.0482930i	$0.0153781\pi$
$607$	25.7984	+	25.7984i	1.04713	+	1.04713i	0.0482930	+	0.998833i	$0.484622\pi$
$608$	−3.63926	+	2.39913i	−0.147591	+	0.0972974i
$609$	6.29780	−	6.45698i	0.255200	−	0.261650i
$610$	−15.8102	+	20.2871i	−0.640135	+	0.821399i
$611$	3.85932	−	4.59936i	0.156132	−	0.186070i
$612$	8.93490	+	17.9755i	0.361172	+	0.726618i
$613$	−4.35557	+	9.34054i	−0.175920	+	0.377261i	−0.974420	−	0.224733i	$-0.927849\pi$
$613$	−4.35557	+	9.34054i	−0.175920	+	0.377261i	0.798501	+	0.601994i	$0.205627\pi$
$614$	15.2588	−	12.8036i	0.615794	−	0.516713i
$615$	−24.0112	+	26.4667i	−0.968225	+	1.06724i
$616$	−6.19965	+	10.7381i	−0.249791	+	0.432651i
$617$	28.3406	+	19.8443i	1.14095	+	0.798901i	0.982092	−	0.188401i	$-0.0603305\pi$
$617$	28.3406	+	19.8443i	1.14095	+	0.798901i	0.158856	+	0.987302i	$0.449219\pi$
$618$	1.39279	+	7.36057i	0.0560264	+	0.296086i
$619$	15.9773	+	9.22449i	0.642181	+	0.370764i	0.785454	−	0.618920i	$-0.212429\pi$
$619$	15.9773	+	9.22449i	0.642181	+	0.370764i	−0.143273	+	0.989683i	$0.545763\pi$
$620$	−17.4324	−	16.2162i	−0.700101	−	0.651260i
$621$	−0.0415960	+	0.834114i	−0.00166919	+	0.0334718i
$622$	−2.54189	−	1.18530i	−0.101921	−	0.0475263i
$623$	3.90477	+	8.37381i	0.156441	+	0.335490i
$624$	−0.369407	−	3.69118i	−0.0147881	−	0.147765i
$625$	−21.2656	−	13.1444i	−0.850624	−	0.525775i
$626$			27.6598i			1.10551i
$627$	−17.5264	−	10.4855i	−0.699937	−	0.418749i
$628$	−1.15416	+	1.15416i	−0.0460558	+	0.0460558i
$629$	7.13311	−	40.4539i	0.284416	−	1.61300i
$630$	11.2690	−	28.6081i	0.448969	−	1.13977i
$631$	−9.79046	−	3.56344i	−0.389752	−	0.141858i	0.139709	−	0.990193i	$-0.455383\pi$
$631$	−9.79046	−	3.56344i	−0.389752	−	0.141858i	−0.529461	+	0.848334i	$0.677606\pi$
$632$	−0.494695	+	1.06088i	−0.0196779	+	0.0421994i
$633$	0.323773	+	0.376222i	0.0128688	+	0.0149535i
$634$	0.353230	−	0.203937i	0.0140286	−	0.00809939i
$635$	−5.88291	−	9.38912i	−0.233456	−	0.372596i
$636$	−10.2830	+	15.0828i	−0.407746	+	0.598071i
$637$	17.2096	−	24.5779i	0.681870	−	0.973811i
$638$	−2.96868	+	0.795456i	−0.117531	+	0.0314924i
$639$	−24.3367	+	14.8727i	−0.962746	+	0.588357i
$640$	0.467572	+	2.18664i	0.0184824	+	0.0864344i
$641$	6.79475	+	18.6684i	0.268377	+	0.737358i	0.998536	+	0.0540822i	$0.0172233\pi$
$641$	6.79475	+	18.6684i	0.268377	+	0.737358i	−0.730160	+	0.683276i	$0.760554\pi$
$642$	0.795080	+	0.278199i	0.0313793	+	0.0109796i
$643$	12.3432	−	1.07989i	0.486767	−	0.0425866i	0.158869	−	0.987300i	$-0.449215\pi$
$643$	12.3432	−	1.07989i	0.486767	−	0.0425866i	0.327898	+	0.944713i	$0.393660\pi$
$644$	0.127925	−	0.725502i	0.00504097	−	0.0285888i
$645$	−0.485980	+	0.945004i	−0.0191355	+	0.0372095i
$646$	27.6762	−	9.20357i	1.08891	−	0.362110i
$647$	−8.23011	+	8.23011i	−0.323559	+	0.323559i	−0.850131	−	0.526572i	$-0.823477\pi$
$647$	−8.23011	+	8.23011i	−0.323559	+	0.323559i	0.526572	+	0.850131i	$0.323477\pi$
$648$	−7.10560	+	5.52363i	−0.279134	+	0.216989i
$649$	11.1800	−	13.3238i	0.438855	−	0.523006i
$650$	2.61602	+	10.3843i	0.102609	+	0.407305i
$651$	−34.7655	+	77.0509i	−1.36257	+	3.01986i
$652$	−10.5741	−	0.925117i	−0.414115	−	0.0362304i
$653$	−3.82351	+	14.2695i	−0.149626	+	0.558410i	0.849880	+	0.526976i	$0.176674\pi$
$653$	−3.82351	+	14.2695i	−0.149626	+	0.558410i	−0.999506	+	0.0314344i	$0.989992\pi$
$654$	3.45303	+	12.2722i	0.135024	+	0.479881i
$655$	−14.8567	−	29.0702i	−0.580499	−	1.13587i
$656$	−9.08668	+	1.60223i	−0.354775	+	0.0625564i
$657$	−12.1402	−	41.1691i	−0.473635	−	1.60616i
$658$	12.4115	+	3.32565i	0.483850	+	0.129647i
$659$	−38.1064	+	31.9751i	−1.48442	+	1.24557i	−0.583106	+	0.812396i	$0.698163\pi$
$659$	−38.1064	+	31.9751i	−1.48442	+	1.24557i	−0.901309	+	0.433176i	$0.857393\pi$
$660$	−8.28017	+	6.41927i	−0.322305	+	0.249870i
$661$	−8.44210	−	3.07267i	−0.328360	−	0.119513i	0.172580	−	0.984996i	$-0.444790\pi$
$661$	−8.44210	−	3.07267i	−0.328360	−	0.119513i	−0.500939	+	0.865482i	$0.667012\pi$
$662$	−8.90718	+	0.779278i	−0.346188	+	0.0302875i
$663$	−4.00488	+	24.4966i	−0.155537	+	0.951371i
$664$		−	8.04533i		−	0.312219i
$665$	−38.8695	−	22.0234i	−1.50729	−	0.854031i
$666$	18.4115	−	0.459638i	0.713431	−	0.0178106i
$667$	0.149580	−	0.104737i	0.00579177	−	0.00405544i
$668$	1.40175	+	16.0221i	0.0542355	+	0.619914i
$669$	0.890352	+	1.84877i	0.0344230	+	0.0714777i
$670$	5.08409	+	6.72972i	0.196416	+	0.259992i
$671$	−20.0009	−	23.8361i	−0.772125	−	0.920183i
$672$	6.82529	−	4.05498i	0.263291	−	0.156424i
$673$	1.42448	+	5.31622i	0.0549096	+	0.204925i	0.987931	−	0.154896i	$-0.0495043\pi$
$673$	1.42448	+	5.31622i	0.0549096	+	0.204925i	−0.933021	+	0.359821i	$0.882838\pi$
$674$	−2.94429	−	16.6979i	−0.113410	−	0.643179i
$675$	17.9546	−	18.7785i	0.691073	−	0.722785i
$676$	−4.20646	+	7.28580i	−0.161787	+	0.280223i
$677$	3.46147	+	0.927499i	0.133035	+	0.0356467i	0.324722	−	0.945809i	$-0.394729\pi$
$677$	3.46147	+	0.927499i	0.133035	+	0.0356467i	−0.191687	+	0.981456i	$0.561396\pi$
$678$	−2.97716	−	3.45943i	−0.114337	−	0.132859i
$679$	2.21017	+	6.07240i	0.0848186	+	0.233037i
$680$	0.764826	−	14.9425i	0.0293298	−	0.573018i
$681$	2.18843	+	21.8672i	0.0838609	+	0.837953i
$682$	23.5944	−	16.5209i	0.903474	−	0.632620i
$683$	12.6627	+	12.6627i	0.484525	+	0.484525i	0.906573	−	0.422048i	$-0.138689\pi$
$683$	12.6627	+	12.6627i	0.484525	+	0.484525i	−0.422048	+	0.906573i	$0.638689\pi$
$684$	6.50360	+	11.3447i	0.248671	+	0.433777i
$685$	35.8708	+	19.0168i	1.37055	+	0.726593i
$686$	31.6389	+	5.57879i	1.20798	+	0.212999i
$687$	0.492260	+	0.402695i	0.0187809	+	0.0153638i
$688$	−0.248666	+	0.115955i	−0.00948032	+	0.00442075i
$689$	−21.2112	+	7.72024i	−0.808082	+	0.294118i
$690$	0.331846	−	0.526655i	0.0126331	−	0.0200494i
$691$	−7.78273	−	13.4801i	−0.296069	−	0.512807i	0.679164	−	0.733987i	$-0.262343\pi$
$691$	−7.78273	−	13.4801i	−0.296069	−	0.512807i	−0.975233	+	0.221180i	$0.929009\pi$
$692$	−4.27774	−	15.9647i	−0.162615	−	0.606888i
$693$	30.9937	+	20.5687i	1.17735	+	0.781341i
$694$	12.9841	−	2.28944i	0.492869	−	0.0869060i
$695$	1.35127	−	5.88574i	0.0512566	−	0.223259i
$696$	1.90699	+	0.485552i	0.0722841	+	0.0184048i
$697$	61.5040	+	5.38090i	2.32963	+	0.203816i
$698$	19.9944	+	9.32352i	0.756797	+	0.352900i
$699$	−10.4609	+	5.03788i	−0.395668	+	0.190550i
$700$	−17.7753	+	14.4661i	−0.671843	+	0.546767i
$701$	40.4621	+	7.13456i	1.52823	+	0.269469i	0.873662	−	0.486532i	$-0.161738\pi$
$701$	40.4621	+	7.13456i	1.52823	+	0.269469i	0.654570	+	0.756001i	$0.272850\pi$
$702$	−11.1210	+	0.416559i	−0.419737	+	0.0157220i
$703$	3.07833	−	26.5820i	0.116101	−	1.00256i
$704$	−2.70516			−0.101955
$705$	8.64642	+	6.56658i	0.325643	+	0.247312i
$706$	−5.14599	−	4.31800i	−0.193672	−	0.162510i
$707$	−3.31308	+	1.54492i	−0.124601	+	0.0581025i
$708$	−10.4164	+	3.93916i	−0.391473	+	0.148043i
$709$	18.8329	+	22.4441i	0.707283	+	0.842907i	0.993330	−	0.115308i	$-0.0367856\pi$
$709$	18.8329	+	22.4441i	0.707283	+	0.842907i	−0.286047	+	0.958216i	$0.592341\pi$
$710$	21.2448	−	0.767831i	0.797303	−	0.0288162i
$711$	3.08405	+	1.67938i	0.115661	+	0.0629816i
$712$	−1.15620	+	1.65123i	−0.0433306	+	0.0618825i
$713$	−0.981578	+	1.40184i	−0.0367604	+	0.0524993i
$714$	−51.1359	+	14.3881i	−1.91371	+	0.538462i
$715$	−12.9468	+	0.467924i	−0.484183	+	0.0174994i
$716$	7.32720	+	8.73222i	0.273830	+	0.326338i
$717$	−5.43375	−	14.3686i	−0.202927	−	0.536605i
$718$	2.71861	−	1.26771i	0.101457	−	0.0473104i
$719$	−12.1057	−	10.1579i	−0.451465	−	0.378825i	0.388514	−	0.921443i	$-0.372989\pi$
$719$	−12.1057	−	10.1579i	−0.451465	−	0.378825i	−0.839979	+	0.542618i	$0.817433\pi$
$720$	6.63452	−	0.991531i	0.247254	−	0.0369522i
$721$	−19.8241			−0.738289
$722$	17.6426	−	7.05246i	0.656591	−	0.262465i
$723$	0.477996	+	38.2997i	0.0177768	+	1.42438i
$724$	11.0477	+	1.94801i	0.410584	+	0.0723971i
$725$	−5.65095	−	0.580004i	−0.209871	−	0.0215408i
$726$	2.76722	+	5.74599i	0.102701	+	0.213254i
$727$	8.52012	+	3.97300i	0.315994	+	0.147350i	0.574144	−	0.818755i	$-0.305335\pi$
$727$	8.52012	+	3.97300i	0.315994	+	0.147350i	−0.258150	+	0.966105i	$0.583113\pi$
$728$	9.77950	+	0.855595i	0.362452	+	0.0317105i
$729$	15.2114	+	22.3072i	0.563385	+	0.826194i
$730$	−7.15861	+	31.1808i	−0.264952	+	1.15405i
$731$	1.80800	−	0.318799i	0.0668713	−	0.0117912i
$732$	3.70413	+	19.5754i	0.136908	+	0.723527i
$733$	6.32868	+	23.6190i	0.233755	+	0.872386i	0.978706	+	0.205267i	$0.0658063\pi$
$733$	6.32868	+	23.6190i	0.233755	+	0.872386i	−0.744951	+	0.667119i	$0.767527\pi$
$734$	−6.73693	−	11.6687i	−0.248665	−	0.430700i
$735$	45.9045	+	28.9245i	1.69321	+	1.06689i
$736$	0.151032	−	0.0549711i	0.00556711	−	0.00202626i
$737$	−9.24766	+	4.31225i	−0.340642	+	0.158844i
$738$	3.09996	+	27.5064i	0.114111	+	1.01253i
$739$	6.36975	+	1.12316i	0.234315	+	0.0413160i	0.289572	−	0.957156i	$-0.406487\pi$
$739$	6.36975	+	1.12316i	0.234315	+	0.0413160i	−0.0552576	+	0.998472i	$0.517598\pi$
$740$	−12.1284	−	6.42983i	−0.445850	−	0.236365i
$741$	−1.65952	+	16.0844i	−0.0609641	+	0.590877i
$742$	−34.1586	−	34.1586i	−1.25400	−	1.25400i
$743$	−5.87741	+	4.11541i	−0.215621	+	0.150980i	−0.676398	−	0.736537i	$-0.736460\pi$
$743$	−5.87741	+	4.11541i	−0.215621	+	0.150980i	0.460776	+	0.887516i	$0.347571\pi$
$744$	−18.3505	+	1.83649i	−0.672761	+	0.0673288i
$745$	−0.659388	+	12.8825i	−0.0241581	+	0.471979i
$746$	−1.88249	−	5.17209i	−0.0689227	−	0.189364i
$747$	−24.0891	−	1.50287i	−0.881376	−	0.0549870i
$748$	17.4841	+	4.68484i	0.639280	+	0.171295i
$749$	−1.11456	+	1.93048i	−0.0407252	+	0.0705381i
$750$	−18.5262	+	5.63741i	−0.676481	+	0.205849i
$751$	6.78204	+	38.4629i	0.247480	+	1.40353i	0.814661	+	0.579937i	$0.196923\pi$
$751$	6.78204	+	38.4629i	0.247480	+	1.40353i	−0.567181	+	0.823593i	$0.691966\pi$
$752$	0.725557	+	2.70782i	0.0264584	+	0.0987439i
$753$	−23.3062	−	39.2286i	−0.849324	−	1.42957i
$754$	1.56409	+	1.86401i	0.0569609	+	0.0678834i
$755$	−8.41211	−	11.1350i	−0.306148	−	0.405243i
$756$	−10.8664	−	21.1936i	−0.395206	−	0.770804i
$757$	1.57104	+	17.9571i	0.0571005	+	0.652662i	0.969779	+	0.243984i	$0.0784545\pi$
$757$	1.57104	+	17.9571i	0.0571005	+	0.652662i	−0.912679	+	0.408678i	$0.865990\pi$
$758$	10.0954	−	7.06887i	0.366681	−	0.256753i
$759$	0.539106	+	0.525815i	0.0195683	+	0.0190859i
$760$	−0.0789592	−	9.74647i	−0.00286415	−	0.353542i
$761$		−	25.2613i		−	0.915722i	−0.889024	−	0.457861i	$-0.848616\pi$
$761$		−	25.2613i		−	0.915722i	0.889024	−	0.457861i	$-0.151384\pi$
$762$	−8.47000	−	1.38473i	−0.306836	−	0.0501636i
$763$	−33.6089	+	2.94040i	−1.21673	+	0.106450i
$764$	1.15240	+	0.419439i	0.0416923	+	0.0151748i
$765$	−44.5976	−	5.08128i	−1.61243	−	0.183714i
$766$	−2.21640	+	1.85978i	−0.0800818	+	0.0671966i
$767$	−13.3013	−	3.56408i	−0.480283	−	0.128691i
$768$	1.51069	+	0.847239i	0.0545124	+	0.0305721i
$769$	32.2226	−	5.68171i	1.16198	−	0.204888i	0.440778	−	0.897616i	$-0.354703\pi$
$769$	32.2226	−	5.68171i	1.16198	−	0.204888i	0.721198	+	0.692729i	$0.243592\pi$
$770$	−12.6173	−	24.6884i	−0.454696	−	0.889707i
$771$	35.0145	−	9.85206i	1.26102	−	0.354813i
$772$	6.38516	−	23.8297i	0.229807	−	0.857651i
$773$	−9.88514	−	0.864838i	−0.355544	−	0.0311061i	−0.0920151	−	0.995758i	$-0.529331\pi$
$773$	−9.88514	−	0.864838i	−0.355544	−	0.0311061i	−0.263529	+	0.964652i	$0.584886\pi$
$774$	0.300739	+	0.766212i	0.0108099	+	0.0275409i
$775$	51.6249	−	13.0054i	1.85442	−	0.467167i
$776$	−0.906228	+	1.08000i	−0.0325317	+	0.0387698i
$777$	−7.86363	+	48.0995i	−0.282106	+	1.72556i
$778$	−12.1776	+	12.1776i	−0.436589	+	0.436589i
$779$	40.2031	+	1.12700i	1.44043	+	0.0403788i
$780$	7.37667	+	3.79355i	0.264127	+	0.135831i
$781$	−4.46595	+	25.3277i	−0.159804	+	0.906295i
$782$	−1.07135	+	0.0937312i	−0.0383115	+	0.00335182i
$783$	1.81005	−	5.61915i	0.0646860	−	0.200812i
$784$	4.79141	+	13.1643i	0.171122	+	0.470153i
$785$	−0.763182	−	3.56907i	−0.0272391	−	0.127386i
$786$	−24.5060	−	6.23966i	−0.874101	−	0.222561i
$787$	−20.0338	+	5.36804i	−0.714128	+	0.191350i	−0.597550	−	0.801832i	$-0.703859\pi$
$787$	−20.0338	+	5.36804i	−0.714128	+	0.191350i	−0.116578	+	0.993182i	$0.537192\pi$
$788$	−15.0572	+	21.5039i	−0.536390	+	0.766045i
$789$	−7.86284	−	5.36064i	−0.279925	−	0.190844i
$790$	−1.38973	−	2.21801i	−0.0494444	−	0.0789132i
$791$	10.4600	−	6.03908i	0.371914	−	0.214725i
$792$	−0.505323	+	8.09973i	−0.0179559	+	0.287811i
$793$	−10.4113	+	22.3271i	−0.369716	+	0.792859i
$794$	−3.15650	−	1.14887i	−0.112020	−	0.0407720i
$795$	−15.8079	−	37.6332i	−0.560648	−	1.33471i
$796$	−1.25481	+	7.11637i	−0.0444755	+	0.252233i
$797$	7.94872	−	7.94872i	0.281558	−	0.281558i	−0.552172	−	0.833730i	$-0.686201\pi$
$797$	7.94872	−	7.94872i	0.281558	−	0.281558i	0.833730	+	0.552172i	$0.186201\pi$
$798$	−32.6983	+	11.3288i	−1.15751	+	0.401034i
$799$		−	18.7578i		−	0.663602i
$800$	−4.67226	−	1.78045i	−0.165189	−	0.0629483i
$801$	4.72810	+	3.77033i	0.167059	+	0.133218i
$802$	2.77418	+	5.94924i	0.0979596	+	0.210075i
$803$	−35.0772	−	16.3568i	−1.23785	−	0.577218i
$804$	6.51491	+	0.488139i	0.229763	+	0.0172153i
$805$	1.20613	+	1.12198i	0.0425104	+	0.0395447i
$806$	−19.7492	−	11.4022i	−0.695636	−	0.401626i
$807$	−7.15068	+	1.35308i	−0.251716	+	0.0476307i
$808$	−0.653306	−	0.457450i	−0.0229832	−	0.0160930i
$809$	−17.0135	+	29.4682i	−0.598163	+	1.03605i	0.394929	+	0.918711i	$0.370769\pi$
$809$	−17.0135	+	29.4682i	−0.598163	+	1.03605i	−0.993092	+	0.117337i	$0.962564\pi$
$810$	−1.72949	−	20.0502i	−0.0607682	−	0.704491i
$811$	−33.5655	+	28.1648i	−1.17865	+	0.989001i	−0.178658	+	0.983911i	$0.557176\pi$
$811$	−33.5655	+	28.1648i	−1.17865	+	0.989001i	−0.999987	+	0.00508989i	$0.998380\pi$
$812$	−2.20079	+	4.71962i	−0.0772327	+	0.165626i
$813$	−8.50491	+	24.3066i	−0.298280	+	0.852471i
$814$	10.6749	−	12.7218i	0.374155	−	0.445900i
$815$	14.5898	−	18.7211i	0.511058	−	0.655771i
$816$	−8.29667	−	8.09213i	−0.290442	−	0.283281i
$817$	1.16343	−	0.277046i	0.0407034	−	0.00969261i
$818$	16.1488	+	16.1488i	0.564628	+	0.564628i
$819$	4.38861	−	29.1217i	0.153351	−	1.01760i
$820$	8.03834	−	19.0016i	0.280711	−	0.663563i
$821$	−14.2943	+	39.2732i	−0.498874	+	1.37065i	0.393490	+	0.919329i	$0.371268\pi$
$821$	−14.2943	+	39.2732i	−0.498874	+	1.37065i	−0.892364	+	0.451316i	$0.850955\pi$
$822$	29.4154	−	11.1240i	1.02598	−	0.387994i
$823$	3.23333	−	36.9571i	0.112707	−	1.28824i	−0.703588	−	0.710608i	$-0.748420\pi$
$823$	3.23333	−	36.9571i	0.112707	−	1.28824i	0.816295	−	0.577636i	$-0.196025\pi$
$824$	−2.16252	−	3.74559i	−0.0753349	−	0.130484i
$825$	−1.98268	−	23.3433i	−0.0690282	−	0.812710i
$826$	−5.11749	−	29.0227i	−0.178060	−	1.00983i
$827$	−6.53293	−	4.57440i	−0.227172	−	0.159068i	0.454449	−	0.890773i	$-0.349836\pi$
$827$	−6.53293	−	4.57440i	−0.227172	−	0.159068i	−0.681622	+	0.731705i	$0.738725\pi$
$828$	−0.136381	−	0.462485i	−0.00473955	−	0.0160725i
$829$	12.5310	−	7.23479i	0.435221	−	0.251275i	−0.266348	−	0.963877i	$-0.585817\pi$
$829$	12.5310	−	7.23479i	0.435221	−	0.251275i	0.701568	+	0.712602i	$0.252484\pi$
$830$	15.0995	+	9.77959i	0.524113	+	0.339454i
$831$	20.0614	−	44.4621i	0.695921	−	1.54237i
$832$	0.905141	+	1.94108i	0.0313801	+	0.0672949i
$833$	−8.16984	−	93.3817i	−0.283068	−	3.23548i
$834$	−2.73062	−	3.79795i	−0.0945536	−	0.131512i
$835$	−31.7744	−	16.8450i	−1.09960	−	0.582947i
$836$	11.5504	+	2.37217i	0.399480	+	0.0820431i
$837$	2.07090	+	55.2877i	0.0715807	+	1.91102i
$838$	−8.72715	−	12.4637i	−0.301474	−	0.430550i
$839$	1.09708	+	0.920556i	0.0378752	+	0.0317811i	0.661529	−	0.749920i	$-0.269908\pi$
$839$	1.09708	+	0.920556i	0.0378752	+	0.0317811i	−0.623654	+	0.781701i	$0.714352\pi$
$840$	−0.686132	+	17.7388i	−0.0236738	+	0.612048i
$841$	26.0381	−	9.47711i	0.897867	−	0.326797i
$842$	3.20091	−	36.5865i	0.110311	−	1.26085i
$843$	−14.1074	−	23.7454i	−0.485885	−	0.817834i
$844$	−0.248179	−	0.143286i	−0.00854269	−	0.00493212i
$845$	−8.56085	−	16.7511i	−0.294502	−	0.576254i
$846$	8.24322	−	1.66663i	0.283408	−	0.0572999i
$847$	−16.3022	+	4.36815i	−0.560149	+	0.150092i
$848$	2.72777	−	10.1802i	0.0936719	−	0.349588i
$849$	53.4814	+	4.00717i	1.83548	+	0.137526i
$850$	27.1145	+	19.5989i	0.930018	+	0.672238i
$851$	−0.337472	+	0.927196i	−0.0115684	+	0.0317839i
$852$	10.4265	−	12.7455i	0.357205	−	0.436653i
$853$	−9.52829	−	13.6078i	−0.326242	−	0.465923i	0.622206	−	0.782853i	$-0.286237\pi$
$853$	−9.52829	−	13.6078i	−0.326242	−	0.465923i	−0.948449	+	0.316931i	$0.897348\pi$
$854$	−52.7221			−1.80411
$855$	−29.1974	−	1.58422i	−0.998531	−	0.0541793i
$856$	−0.486329			−0.0166224
$857$	−13.2505	−	18.9236i	−0.452627	−	0.646418i	0.526379	−	0.850250i	$-0.323549\pi$
$857$	−13.2505	−	18.9236i	−0.452627	−	0.646418i	−0.979006	+	0.203832i	$0.934660\pi$
$858$	−6.35400	+	7.76723i	−0.216922	+	0.265169i
$859$	−7.83120	+	21.5160i	−0.267197	+	0.734118i	0.731439	+	0.681907i	$0.238849\pi$
$859$	−7.83120	+	21.5160i	−0.267197	+	0.734118i	−0.998636	+	0.0522108i	$0.983373\pi$
$860$	0.0846439	−	0.607650i	0.00288633	−	0.0207207i
$861$	−73.0471	−	5.47316i	−2.48944	−	0.186525i
$862$	2.10524	−	7.85686i	0.0717047	−	0.267606i
$863$	−43.0570	+	11.5371i	−1.46568	+	0.392727i	−0.901446	−	0.432891i	$-0.857494\pi$
$863$	−43.0570	+	11.5371i	−1.46568	+	0.392727i	−0.564230	+	0.825617i	$0.690827\pi$
$864$	2.81898	−	4.36501i	0.0959037	−	0.148501i
$865$	35.1626	+	11.3776i	1.19556	+	0.386851i
$866$	20.1272	+	11.6204i	0.683949	+	0.394878i
$867$	24.5697	+	41.3553i	0.834430	+	1.40450i
$868$	4.25354	−	48.6182i	0.144375	−	1.65021i
$869$	2.97556	−	1.08301i	0.100939	−	0.0367387i
$870$	−3.22935	+	2.98883i	−0.109485	+	0.101331i
$871$	6.18850	+	5.19277i	0.209689	+	0.175950i
$872$	−4.22180	−	6.02936i	−0.142968	−	0.204180i
$873$	3.06443	+	2.91515i	0.103715	+	0.0986630i
$874$	−0.693077	+	0.102274i	−0.0234437	+	0.00345947i
$875$	−5.54312	−	50.9452i	−0.187392	−	1.72226i
$876$	14.4660	+	20.1204i	0.488759	+	0.679804i
$877$	−1.33164	−	15.2208i	−0.0449664	−	0.513969i	−0.984961	−	0.172779i	$-0.944726\pi$
$877$	−1.33164	−	15.2208i	−0.0449664	−	0.513969i	0.939994	−	0.341190i	$-0.110830\pi$
$878$	7.21014	+	15.4622i	0.243330	+	0.521824i
$879$	−0.984989	+	2.18304i	−0.0332229	+	0.0736320i
$880$	3.28829	−	5.07707i	0.110848	−	0.171148i
$881$	9.97136	−	5.75697i	0.335944	−	0.193957i	−0.322533	−	0.946558i	$-0.604534\pi$
$881$	9.97136	−	5.75697i	0.335944	−	0.193957i	0.658477	+	0.752601i	$0.271201\pi$
$882$	40.3113	−	11.8873i	1.35735	−	0.400265i
$883$	13.6725	+	9.57359i	0.460116	+	0.322177i	0.780549	−	0.625094i	$-0.214940\pi$
$883$	13.6725	+	9.57359i	0.460116	+	0.322177i	−0.320433	+	0.947271i	$0.603828\pi$
$884$	−2.48854	−	14.1132i	−0.0836985	−	0.474678i
$885$	5.26874	−	24.3379i	0.177107	−	0.818109i
$886$	−5.25248	−	9.09756i	−0.176460	−	0.305638i
$887$	3.68636	−	42.1352i	0.123776	−	1.41476i	−0.639550	−	0.768749i	$-0.720879\pi$
$887$	3.68636	−	42.1352i	0.123776	−	1.41476i	0.763326	−	0.646013i	$-0.223565\pi$
$888$	−9.94577	+	3.76118i	−0.333758	+	0.126217i
$889$	7.76795	−	21.3423i	0.260529	−	0.715797i
$890$	−1.69361	−	4.17715i	−0.0567698	−	0.140018i
$891$	24.1576	+	3.02606i	0.809311	+	0.101377i
$892$	−0.837724	−	0.837724i	−0.0280491	−	0.0280491i
$893$	−0.723473	−	12.1980i	−0.0242101	−	0.408192i
$894$	7.15290	+	6.97656i	0.239229	+	0.233331i
$895$	−25.2954	+	3.13721i	−0.845531	+	0.104865i
$896$	−2.94626	+	3.51122i	−0.0984278	+	0.117302i
$897$	0.196914	−	0.562771i	0.00657476	−	0.0187904i
$898$	15.4369	−	33.1046i	0.515137	−	1.10472i
$899$	9.26684	−	7.77580i	0.309066	−	0.259337i
$900$	−6.20375	+	13.6570i	−0.206792	+	0.455233i
$901$	−35.2604	+	61.0727i	−1.17469	+	2.03463i
$902$	20.4461	+	14.3165i	0.680782	+	0.476688i
$903$	−2.14026	+	0.404989i	−0.0712235	+	0.0134772i
$904$	2.28206	+	1.31755i	0.0759002	+	0.0438210i
$905$	−17.0852	+	18.3665i	−0.567931	+	0.610523i
$906$	−10.7795	−	0.807672i	−0.358126	−	0.0268331i
$907$	−43.0169	−	20.0591i	−1.42835	−	0.666052i	−0.453985	−	0.891009i	$-0.649998\pi$
$907$	−43.0169	−	20.0591i	−1.42835	−	0.666052i	−0.974369	+	0.224957i	$0.927776\pi$
$908$	−5.36222	−	11.4993i	−0.177952	−	0.381618i
$909$	−1.49172	+	1.87066i	−0.0494774	+	0.0620460i
$910$	−13.4934	+	17.3142i	−0.447301	+	0.573961i
$911$		−	15.9986i		−	0.530056i	−0.964241	−	0.265028i	$-0.914619\pi$
$911$		−	15.9986i		−	0.530056i	0.964241	−	0.265028i	$-0.0853812\pi$
$912$	−5.70737	−	4.94226i	−0.188990	−	0.163654i
$913$	−15.3894	+	15.3894i	−0.509315	+	0.509315i
$914$	−1.10087	+	6.24333i	−0.0364134	+	0.206511i
$915$	−41.2418	−	16.8431i	−1.36341	−	0.556817i
$916$	−0.345045	−	0.125586i	−0.0114006	−	0.00414948i
$917$	28.2817	−	60.6502i	0.933943	−	2.00285i
$918$	−25.7791	+	23.3301i	−0.850838	+	0.770009i
$919$	26.6327	−	15.3764i	0.878533	−	0.507221i	0.00835860	−	0.999965i	$-0.497339\pi$
$919$	26.6327	−	15.3764i	0.878533	−	0.507221i	0.870174	+	0.492744i	$0.164006\pi$
$920$	−0.0804183	+	0.350279i	−0.00265131	+	0.0115483i
$921$	28.5060	+	19.4345i	0.939304	+	0.640389i
$922$	−5.50989	+	7.86893i	−0.181458	+	0.259150i
$923$	19.6681	−	5.27006i	0.647384	−	0.173466i
$924$	−20.8122	−	5.29914i	−0.684670	−	0.174329i
$925$	26.8104	−	14.9469i	0.881521	−	0.491450i
$926$	−8.05360	−	22.1271i	−0.264658	−	0.727141i
$927$	−11.6189	+	5.77529i	−0.381616	+	0.189685i
$928$	−1.13180	+	0.0990200i	−0.0371533	+	0.00325049i
$929$	−3.61422	+	20.4972i	−0.118579	+	0.672493i	0.866337	+	0.499459i	$0.166468\pi$
$929$	−3.61422	+	20.4972i	−0.118579	+	0.672493i	−0.984916	+	0.173034i	$0.944643\pi$
$930$	18.8594	−	36.6727i	0.618424	−	1.20254i
$931$	−8.91444	−	60.4103i	−0.292159	−	1.97987i
$932$	4.74009	−	4.74009i	0.155267	−	0.155267i
$933$	0.783785	−	4.79418i	0.0256600	−	0.156954i
$934$	7.81583	−	9.31454i	0.255742	−	0.304781i
$935$	−30.0455	+	27.1195i	−0.982593	+	0.886903i
$936$	5.98103	−	2.34756i	0.195496	−	0.0767324i
$937$	−2.54978	−	0.223077i	−0.0832978	−	0.00728761i	0.0454307	−	0.998967i	$-0.485534\pi$
$937$	−2.54978	−	0.223077i	−0.0832978	−	0.00728761i	−0.128728	+	0.991680i	$0.541090\pi$
$938$	−4.47470	+	16.6998i	−0.146104	+	0.545268i
$939$	−46.1174	+	12.9761i	−1.50498	+	0.423458i
$940$	−5.96401	−	1.92979i	−0.194525	−	0.0629427i
$941$	−3.57940	+	0.631145i	−0.116685	+	0.0205747i	−0.231686	−	0.972791i	$-0.574424\pi$
$941$	−3.57940	+	0.631145i	−0.116685	+	0.0205747i	0.115001	+	0.993365i	$0.463313\pi$
$942$	−2.46578	−	1.38288i	−0.0803395	−	0.0450567i
$943$	−1.43245	−	0.383824i	−0.0466471	−	0.0124990i
$944$	4.92534	−	4.13285i	0.160306	−	0.134513i
$945$	52.9851	+	5.36801i	1.72361	+	0.174622i
$946$	0.697461	+	0.253855i	0.0226764	+	0.00825354i
$947$	−43.9402	+	3.84427i	−1.42786	+	0.124922i	−0.774717	−	0.632308i	$-0.782108\pi$
$947$	−43.9402	+	3.84427i	−1.42786	+	0.124922i	−0.653148	+	0.757230i	$0.726552\pi$
$948$	−2.00089	−	0.327118i	−0.0649858	−	0.0106243i
$949$			30.6425i			0.994698i
$950$	18.3882	+	11.6992i	0.596593	+	0.379574i
$951$	0.505738	+	0.493270i	0.0163997	+	0.0159954i
$952$	25.1232	−	17.5914i	0.814246	−	0.570141i
$953$	−3.90246	−	44.6054i	−0.126413	−	1.44491i	−0.749110	−	0.662446i	$-0.769518\pi$
$953$	−3.90246	−	44.6054i	−0.126413	−	1.44491i	0.622697	−	0.782463i	$-0.286037\pi$
$954$	−29.9717	−	10.0691i	−0.970369	−	0.325998i
$955$	−2.18802	+	1.65298i	−0.0708026	+	0.0534891i
$956$	5.70094	+	6.79411i	0.184382	+	0.219737i
$957$	−2.71897	−	4.57653i	−0.0878918	−	0.147938i
$958$	9.11335	+	34.0115i	0.294439	+	1.09886i
$959$	14.4516	+	81.9588i	0.466665	+	2.64659i
$960$	−3.42644	+	1.80541i	−0.110588	+	0.0582692i
$961$	−41.1854	+	71.3353i	−1.32856	+	2.30114i
$962$	−12.7003	−	3.40304i	−0.409475	−	0.109719i
$963$	−0.0908461	+	1.45615i	−0.00292748	+	0.0469239i
$964$	−7.56345	−	20.7804i	−0.243602	−	0.669292i
$965$	36.9623	+	40.9502i	1.18986	+	1.31823i
$966$	1.26965	−	0.127064i	0.0408503	−	0.00408823i
$967$	15.5589	−	10.8944i	0.500340	−	0.350342i	−0.296003	−	0.955187i	$-0.595654\pi$
$967$	15.5589	−	10.8944i	0.500340	−	0.350342i	0.796343	+	0.604845i	$0.206765\pi$
$968$	−2.60365	−	2.60365i	−0.0836844	−	0.0836844i
$969$	28.3290	+	41.8270i	0.910057	+	1.34368i
$970$	−0.925378	−	3.01362i	−0.0297121	−	0.0967616i
$971$	−8.84502	−	1.55962i	−0.283850	−	0.0500505i	0.0299103	−	0.999553i	$-0.490478\pi$
$971$	−8.84502	−	1.55962i	−0.283850	−	0.0500505i	−0.313761	+	0.949502i	$0.601589\pi$
$972$	−12.5430	−	9.25592i	−0.402318	−	0.296884i
$973$	11.2189	−	5.23146i	0.359661	−	0.167713i
$974$	−2.85154	+	1.03788i	−0.0913693	+	0.0332557i
$975$	−16.0865	+	9.23330i	−0.515182	+	0.295702i
$976$	−5.75120	−	9.96137i	−0.184091	−	0.318856i
$977$	1.36407	+	5.09077i	0.0436404	+	0.162868i	0.984307	−	0.176464i	$-0.0564658\pi$
$977$	1.36407	+	5.09077i	0.0436404	+	0.162868i	−0.940667	+	0.339332i	$0.889799\pi$
$978$	−3.41820	−	18.0643i	−0.109302	−	0.577634i
$979$	5.37016	−	0.946905i	0.171631	−	0.0302632i
$980$	−30.5311	−	7.00945i	−0.975281	−	0.223909i
$981$	−18.8416	+	11.5145i	−0.601566	+	0.367631i
$982$	4.16029	+	0.363978i	0.132760	+	0.0116150i
$983$	8.42397	+	3.92816i	0.268683	+	0.125289i	0.552291	−	0.833651i	$-0.313754\pi$
$983$	8.42397	+	3.92816i	0.268683	+	0.125289i	−0.283608	+	0.958940i	$0.591532\pi$
$984$	−6.93425	−	14.3986i	−0.221056	−	0.459012i
$985$	−22.0558	−	54.3988i	−0.702755	−	1.73329i
$986$	7.48659	+	1.32009i	0.238422	+	0.0420401i
$987$	0.277738	+	22.2539i	0.00884050	+	0.708350i
$988$	−2.16261	−	9.08172i	−0.0688018	−	0.288928i
$989$	−0.0440985			−0.00140225
$990$	−14.5874	−	10.7941i	−0.463618	−	0.343059i
$991$	17.8411	+	14.9705i	0.566741	+	0.475552i	0.880563	−	0.473930i	$-0.157165\pi$
$991$	17.8411	+	14.9705i	0.566741	+	0.475552i	−0.313822	+	0.949482i	$0.601609\pi$
$992$	9.64998	−	4.49986i	0.306387	−	0.142871i
$993$	−5.47793	−	14.4854i	−0.173837	−	0.459681i
$994$	28.0106	+	33.3817i	0.888443	+	1.05880i
$995$	−11.8308	−	11.0054i	−0.375061	−	0.348895i
$996$	13.4140	−	3.77431i	0.425040	−	0.119594i
$997$	−18.3030	+	26.1394i	−0.579662	+	0.827844i	−0.996711	−	0.0810405i	$-0.974176\pi$
$997$	−18.3030	+	26.1394i	−0.579662	+	0.827844i	0.417048	+	0.908884i	$0.363065\pi$
$998$	−22.4481	+	32.0592i	−0.710583	+	1.01482i
$999$	9.40377	+	30.4820i	0.297522	+	0.964408i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	570.2.bi.a.17.15	✓	480
3.2	odd	2	inner	570.2.bi.a.17.36	yes	480
5.3	odd	4	inner	570.2.bi.a.473.16	yes	480
15.8	even	4	inner	570.2.bi.a.473.26	yes	480
19.9	even	9	inner	570.2.bi.a.47.26	yes	480
57.47	odd	18	inner	570.2.bi.a.47.16	yes	480
95.28	odd	36	inner	570.2.bi.a.503.36	yes	480
285.218	even	36	inner	570.2.bi.a.503.15	yes	480

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
570.2.bi.a.17.15	✓	480	1.1	even	1	trivial
570.2.bi.a.17.36	yes	480	3.2	odd	2	inner
570.2.bi.a.47.16	yes	480	57.47	odd	18	inner
570.2.bi.a.47.26	yes	480	19.9	even	9	inner
570.2.bi.a.473.16	yes	480	5.3	odd	4	inner
570.2.bi.a.473.26	yes	480	15.8	even	4	inner
570.2.bi.a.503.15	yes	480	285.218	even	36	inner
570.2.bi.a.503.36	yes	480	95.28	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)

\(f(q)\)	\(=\)	\(q+(-0.573576 - 0.819152i) q^{2} +(1.09670 - 1.34062i) q^{3} +(-0.342020 + 0.939693i) q^{4} +(-1.34788 - 1.78416i) q^{5} +(-1.72721 - 0.129414i) q^{6} +(1.18632 - 4.42739i) q^{7} +(0.965926 - 0.258819i) q^{8} +(-0.594516 - 2.94050i) q^{9} +O(q^{10})\)	\(q+(-0.573576 - 0.819152i) q^{2} +(1.09670 - 1.34062i) q^{3} +(-0.342020 + 0.939693i) q^{4} +(-1.34788 - 1.78416i) q^{5} +(-1.72721 - 0.129414i) q^{6} +(1.18632 - 4.42739i) q^{7} +(0.965926 - 0.258819i) q^{8} +(-0.594516 - 2.94050i) q^{9} +(-0.688389 + 2.12747i) q^{10} +(-2.34274 - 1.35258i) q^{11} +(0.884677 + 1.48908i) q^{12} +(-0.186666 + 2.13360i) q^{13} +(-4.30715 + 1.56767i) q^{14} +(-3.87009 - 0.149694i) q^{15} +(-0.766044 - 0.642788i) q^{16} +(3.83793 + 5.48113i) q^{17} +(-2.06772 + 2.17360i) q^{18} +(2.70718 + 3.41631i) q^{19} +(2.13756 - 0.656371i) q^{20} +(-4.63442 - 6.44590i) q^{21} +(0.235770 + 2.69486i) q^{22} +(-0.0679252 - 0.145666i) q^{23} +(0.712349 - 1.57878i) q^{24} +(-1.36646 + 4.80966i) q^{25} +(1.85481 - 1.07087i) q^{26} +(-4.59409 - 2.42782i) q^{27} +(3.75464 + 2.62903i) q^{28} +(0.197286 + 1.11887i) q^{29} +(2.09717 + 3.25605i) q^{30} +(-5.32379 - 9.22107i) q^{31} +(-0.0871557 + 0.996195i) q^{32} +(-4.38256 + 1.65735i) q^{33} +(2.28853 - 6.28769i) q^{34} +(-9.49819 + 3.85100i) q^{35} +(2.96650 + 0.447049i) q^{36} +(-4.34098 - 4.34098i) q^{37} +(1.24570 - 4.17711i) q^{38} +(2.65562 + 2.59015i) q^{39} +(-1.76372 - 1.37451i) q^{40} +(5.93091 - 7.06818i) q^{41} +(-2.62198 + 7.49351i) q^{42} +(0.115955 - 0.248666i) q^{43} +(2.07227 - 1.73884i) q^{44} +(-4.44499 + 5.02414i) q^{45} +(-0.0803624 + 0.139192i) q^{46} +(-2.29636 - 1.60793i) q^{47} +(-1.70185 + 0.322031i) q^{48} +(-12.1323 - 7.00457i) q^{49} +(4.72361 - 1.63937i) q^{50} +(11.5571 + 0.865936i) q^{51} +(-1.94108 - 0.905141i) q^{52} +(4.45409 + 9.55184i) q^{53} +(0.646312 + 5.15580i) q^{54} +(0.744501 + 6.00293i) q^{55} -4.58357i q^{56} +(7.54892 + 0.117361i) q^{57} +(0.803363 - 0.803363i) q^{58} +(-1.11648 + 6.33190i) q^{59} +(1.46431 - 3.58550i) q^{60} +(10.8087 + 3.93405i) q^{61} +(-4.49986 + 9.64998i) q^{62} +(-13.7240 - 0.856211i) q^{63} +(0.866025 - 0.500000i) q^{64} +(4.05828 - 2.54278i) q^{65} +(3.87135 + 2.63937i) q^{66} +(2.16349 - 3.08978i) q^{67} +(-6.46323 + 1.73182i) q^{68} +(-0.269776 - 0.0686896i) q^{69} +(8.60249 + 5.57162i) q^{70} +(-3.25164 - 8.93381i) q^{71} +(-1.33532 - 2.68643i) q^{72} +(14.2528 - 1.24696i) q^{73} +(-1.06604 + 6.04581i) q^{74} +(4.94933 + 7.10663i) q^{75} +(-4.13619 + 1.37547i) q^{76} +(-8.76763 + 8.76763i) q^{77} +(0.598527 - 3.66101i) q^{78} +(-0.752414 + 0.896692i) q^{79} +(-0.114303 + 2.23314i) q^{80} +(-8.29310 + 3.49635i) q^{81} +(-9.19174 - 0.804173i) q^{82} +(2.08228 - 7.77119i) q^{83} +(7.64223 - 2.15030i) q^{84} +(4.60616 - 14.2354i) q^{85} +(-0.270205 + 0.0476444i) q^{86} +(1.71634 + 0.962571i) q^{87} +(-2.61298 - 0.700147i) q^{88} +(-1.54418 + 1.29572i) q^{89} +(6.66508 + 0.759395i) q^{90} +(9.22483 + 3.35756i) q^{91} +(0.160113 - 0.0140081i) q^{92} +(-18.2005 - 2.97554i) q^{93} +2.80334i q^{94} +(2.44630 - 9.43481i) q^{95} +(1.23993 + 1.20937i) q^{96} +(-1.15487 + 0.808652i) q^{97} +(1.22098 + 13.9558i) q^{98} +(-2.58447 + 7.69295i) 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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