LMFDB - Embedded newform 966.2.be.a.19.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [966,2,Mod(19,966)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(966, base_ring=CyclotomicField(66))

chi = DirichletCharacter(H, H._module([0, 55, 45]))

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

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

chi := DirichletCharacter("966.19");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 966 = 2 \cdot 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	966.be (of order $66$, degree $20$, 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:	$7.71354883526$
Analytic rank:	$0$
Dimension:	$320$
Relative dimension:	$16$ over $\Q(\zeta_{66})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label			19.5
Character	$\chi$	$=$	966.19
Dual form			966.2.be.a.661.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.995472 + 0.0950560i) q^{2} +(-0.690079 + 0.723734i) q^{3} +(0.981929 + 0.189251i) q^{4} +(0.631353 - 0.325485i) q^{5} +(-0.755750 + 0.654861i) q^{6} +(2.64138 - 0.152057i) q^{7} +(0.959493 + 0.281733i) q^{8} +(-0.0475819 - 0.998867i) q^{9} +O(q^{10})$	\(q+(0.995472 + 0.0950560i) q^{2} +(-0.690079 + 0.723734i) q^{3} +(0.981929 + 0.189251i) q^{4} +(0.631353 - 0.325485i) q^{5} +(-0.755750 + 0.654861i) q^{6} +(2.64138 - 0.152057i) q^{7} +(0.959493 + 0.281733i) q^{8} +(-0.0475819 - 0.998867i) q^{9} +(0.659433 - 0.263997i) q^{10} +(-0.617302 - 6.46468i) q^{11} +(-0.814576 + 0.580057i) q^{12} +(1.45558 + 0.209281i) q^{13} +(2.64387 + 0.0997104i) q^{14} +(-0.200119 + 0.681542i) q^{15} +(0.928368 + 0.371662i) q^{16} +(0.342513 - 0.989626i) q^{17} +(0.0475819 - 0.998867i) q^{18} +(0.0500544 + 0.144623i) q^{19} +(0.681542 - 0.200119i) q^{20} +(-1.71271 + 2.01659i) q^{21} -6.49409i q^{22} +(1.29875 - 4.61663i) q^{23} +(-0.866025 + 0.500000i) q^{24} +(-2.60762 + 3.66189i) q^{25} +(1.42910 + 0.346696i) q^{26} +(0.755750 + 0.654861i) q^{27} +(2.62242 + 0.350575i) q^{28} +(1.12195 + 1.29479i) q^{29} +(-0.263997 + 0.659433i) q^{30} +(1.65376 - 0.401197i) q^{31} +(0.888835 + 0.458227i) q^{32} +(5.10470 + 4.01438i) q^{33} +(0.435032 - 0.952587i) q^{34} +(1.61815 - 0.955730i) q^{35} +(0.142315 - 0.989821i) q^{36} +(-4.22051 + 0.201048i) q^{37} +(0.0360805 + 0.148726i) q^{38} +(-1.15593 + 0.909035i) q^{39} +(0.697478 - 0.134428i) q^{40} +(0.907006 - 1.41133i) q^{41} +(-1.89664 + 1.84465i) q^{42} +(1.59094 + 5.41824i) q^{43} +(0.617302 - 6.46468i) q^{44} +(-0.355157 - 0.615150i) q^{45} +(1.73171 - 4.47227i) q^{46} +(10.3528 + 5.97721i) q^{47} +(-0.909632 + 0.415415i) q^{48} +(6.95376 - 0.803280i) q^{49} +(-2.94390 + 3.39744i) q^{50} +(0.479865 + 0.930808i) q^{51} +(1.38967 + 0.480970i) q^{52} +(-4.73457 - 6.02049i) q^{53} +(0.690079 + 0.723734i) q^{54} +(-2.49389 - 3.88057i) q^{55} +(2.57722 + 0.598265i) q^{56} +(-0.139210 - 0.0635750i) q^{57} +(0.993787 + 1.39558i) q^{58} +(4.72388 + 11.7997i) q^{59} +(-0.325485 + 0.631353i) q^{60} +(-5.82154 + 5.55083i) q^{61} +(1.68440 - 0.242181i) q^{62} +(-0.277567 - 2.63115i) q^{63} +(0.841254 + 0.540641i) q^{64} +(0.987104 - 0.341640i) q^{65} +(4.69999 + 4.48143i) q^{66} +(-6.00548 - 4.27649i) q^{67} +(0.523611 - 0.906921i) q^{68} +(2.44497 + 4.12579i) q^{69} +(1.70167 - 0.797588i) q^{70} +(4.45625 + 9.75783i) q^{71} +(0.235759 - 0.971812i) q^{72} +(0.725294 - 3.76318i) q^{73} +(-4.22051 - 0.201048i) q^{74} +(-0.850770 - 4.41421i) q^{75} +(0.0217798 + 0.151482i) q^{76} +(-2.61353 - 16.9818i) q^{77} +(-1.23711 + 0.795040i) q^{78} +(0.501888 - 0.638203i) q^{79} +(0.707098 - 0.0675197i) q^{80} +(-0.995472 + 0.0950560i) q^{81} +(1.03705 - 1.31872i) q^{82} +(-2.23962 + 1.43932i) q^{83} +(-2.06340 + 1.65601i) q^{84} +(-0.105862 - 0.736286i) q^{85} +(1.06870 + 5.54494i) q^{86} +(-1.71132 - 0.0815201i) q^{87} +(1.22901 - 6.37673i) q^{88} +(1.27150 - 5.24121i) q^{89} +(-0.295075 - 0.646125i) q^{90} +(3.87657 + 0.331459i) q^{91} +(2.14898 - 4.28741i) q^{92} +(-0.850862 + 1.47374i) q^{93} +(9.73778 + 6.93424i) q^{94} +(0.0786745 + 0.0750160i) q^{95} +(-0.945001 + 0.327068i) q^{96} +(-5.80748 - 3.73224i) q^{97} +(6.99863 - 0.138647i) q^{98} +(-6.42799 + 0.924205i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 320 q - 16 q^{2} + 16 q^{4} + 32 q^{8} - 16 q^{9}+O(q^{10}) $ 320 * q - 16 * q^2 + 16 * q^4 + 32 * q^8 - 16 * q^9	$ 320 q - 16 q^{2} + 16 q^{4} + 32 q^{8} - 16 q^{9} - 22 q^{14} + 16 q^{16} + 66 q^{17} + 16 q^{18} + 40 q^{23} - 48 q^{25} + 12 q^{26} + 44 q^{28} - 24 q^{29} + 24 q^{31} - 16 q^{32} + 98 q^{35} + 32 q^{36} - 22 q^{37} - 66 q^{38} - 8 q^{39} - 88 q^{43} + 4 q^{46} - 144 q^{47} - 24 q^{49} + 80 q^{50} - 22 q^{51} + 12 q^{52} + 44 q^{53} + 44 q^{57} + 10 q^{58} + 12 q^{59} - 32 q^{64} + 108 q^{70} - 16 q^{71} + 16 q^{72} - 180 q^{73} - 22 q^{74} - 12 q^{75} + 18 q^{77} - 16 q^{78} + 44 q^{79} + 16 q^{81} + 36 q^{82} + 22 q^{84} + 68 q^{85} - 22 q^{86} + 48 q^{87} + 22 q^{88} + 8 q^{92} + 8 q^{93} - 12 q^{94} + 66 q^{95} - 90 q^{98}+O(q^{100}) $ 320 * q - 16 * q^2 + 16 * q^4 + 32 * q^8 - 16 * q^9 - 22 * q^14 + 16 * q^16 + 66 * q^17 + 16 * q^18 + 40 * q^23 - 48 * q^25 + 12 * q^26 + 44 * q^28 - 24 * q^29 + 24 * q^31 - 16 * q^32 + 98 * q^35 + 32 * q^36 - 22 * q^37 - 66 * q^38 - 8 * q^39 - 88 * q^43 + 4 * q^46 - 144 * q^47 - 24 * q^49 + 80 * q^50 - 22 * q^51 + 12 * q^52 + 44 * q^53 + 44 * q^57 + 10 * q^58 + 12 * q^59 - 32 * q^64 + 108 * q^70 - 16 * q^71 + 16 * q^72 - 180 * q^73 - 22 * q^74 - 12 * q^75 + 18 * q^77 - 16 * q^78 + 44 * q^79 + 16 * q^81 + 36 * q^82 + 22 * q^84 + 68 * q^85 - 22 * q^86 + 48 * q^87 + 22 * q^88 + 8 * q^92 + 8 * q^93 - 12 * q^94 + 66 * q^95 - 90 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/966\mathbb{Z}\right)^\times$.

$n$	$323$	$829$	$925$
$\chi(n)$	$1$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{15}{22}\right)$

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 $

$2$	0.995472	+	0.0950560i	0.703905	+	0.0672148i
$2$	0.995472	+	0.0950560i	0.703905	+	0.0672148i
$3$	−0.690079	+	0.723734i	−0.398417	+	0.417848i
$3$	−0.690079	+	0.723734i	−0.398417	+	0.417848i
$4$	0.981929	+	0.189251i	0.490964	+	0.0946256i
$5$	0.631353	−	0.325485i	0.282349	−	0.145561i	−0.311235	−	0.950333i	$-0.600743\pi$
$5$	0.631353	−	0.325485i	0.282349	−	0.145561i	0.593584	+	0.804772i	$0.297712\pi$
$6$	−0.755750	+	0.654861i	−0.308533	+	0.267346i
$7$	2.64138	−	0.152057i	0.998347	−	0.0574722i
$7$	2.64138	−	0.152057i	0.998347	−	0.0574722i
$8$	0.959493	+	0.281733i	0.339232	+	0.0996075i
$9$	−0.0475819	−	0.998867i	−0.0158606	−	0.332956i
$10$	0.659433	−	0.263997i	0.208531	−	0.0834832i
$11$	−0.617302	−	6.46468i	−0.186124	−	1.94918i	−0.295900	−	0.955219i	$-0.595619\pi$
$11$	−0.617302	−	6.46468i	−0.186124	−	1.94918i	0.109776	−	0.993956i	$-0.464987\pi$
$12$	−0.814576	+	0.580057i	−0.235148	+	0.167448i
$13$	1.45558	+	0.209281i	0.403706	+	0.0580442i	0.341177	−	0.939999i	$-0.389174\pi$
$13$	1.45558	+	0.209281i	0.403706	+	0.0580442i	0.0625289	+	0.998043i	$0.480083\pi$
$14$	2.64387	+	0.0997104i	0.706604	+	0.0266487i
$15$	−0.200119	+	0.681542i	−0.0516704	+	0.175973i
$16$	0.928368	+	0.371662i	0.232092	+	0.0929156i
$17$	0.342513	−	0.989626i	0.0830716	−	0.240020i	−0.895814	−	0.444430i	$-0.853406\pi$
$17$	0.342513	−	0.989626i	0.0830716	−	0.240020i	0.978885	+	0.204410i	$0.0655276\pi$
$18$	0.0475819	−	0.998867i	0.0112152	−	0.235435i
$19$	0.0500544	+	0.144623i	0.0114833	+	0.0331787i	0.950597	−	0.310428i	$-0.100472\pi$
$19$	0.0500544	+	0.144623i	0.0114833	+	0.0331787i	−0.939114	+	0.343607i	$0.888351\pi$
$20$	0.681542	−	0.200119i	0.152397	−	0.0447479i
$21$	−1.71271	+	2.01659i	−0.373744	+	0.440055i
$22$		−	6.49409i		−	1.38454i
$23$	1.29875	−	4.61663i	0.270808	−	0.962633i
$23$	1.29875	−	4.61663i	0.270808	−	0.962633i
$24$	−0.866025	+	0.500000i	−0.176777	+	0.102062i
$25$	−2.60762	+	3.66189i	−0.521524	+	0.732378i
$26$	1.42910	+	0.346696i	0.280269	+	0.0679926i
$27$	0.755750	+	0.654861i	0.145444	+	0.126028i
$28$	2.62242	+	0.350575i	0.495591	+	0.0662524i
$29$	1.12195	+	1.29479i	0.208340	+	0.240437i	0.850297	−	0.526304i	$-0.176423\pi$
$29$	1.12195	+	1.29479i	0.208340	+	0.240437i	−0.641957	+	0.766741i	$0.721877\pi$
$30$	−0.263997	+	0.659433i	−0.0481991	+	0.120395i
$31$	1.65376	−	0.401197i	0.297023	−	0.0720570i	−0.0844781	−	0.996425i	$-0.526922\pi$
$31$	1.65376	−	0.401197i	0.297023	−	0.0720570i	0.381501	+	0.924368i	$0.375407\pi$
$32$	0.888835	+	0.458227i	0.157125	+	0.0810038i
$33$	5.10470	+	4.01438i	0.888614	+	0.698814i
$34$	0.435032	−	0.952587i	0.0746073	−	0.163367i
$35$	1.61815	−	0.955730i	0.273517	−	0.161548i
$36$	0.142315	−	0.989821i	0.0237191	−	0.164970i
$37$	−4.22051	+	0.201048i	−0.693848	+	0.0330521i	−0.391544	−	0.920159i	$-0.628059\pi$
$37$	−4.22051	+	0.201048i	−0.693848	+	0.0330521i	−0.302304	+	0.953211i	$0.597756\pi$
$38$	0.0360805	+	0.148726i	0.00585303	+	0.0241265i
$39$	−1.15593	+	0.909035i	−0.185097	+	0.145562i
$40$	0.697478	−	0.134428i	0.110281	−	0.0212549i
$41$	0.907006	−	1.41133i	0.141651	−	0.220413i	−0.763178	−	0.646188i	$-0.776362\pi$
$41$	0.907006	−	1.41133i	0.141651	−	0.220413i	0.904829	+	0.425775i	$0.139999\pi$
$42$	−1.89664	+	1.84465i	−0.292659	+	0.284636i
$43$	1.59094	+	5.41824i	0.242616	+	0.826274i	0.987301	+	0.158859i	$0.0507814\pi$
$43$	1.59094	+	5.41824i	0.242616	+	0.826274i	−0.744685	+	0.667416i	$0.767400\pi$
$44$	0.617302	−	6.46468i	0.0930618	−	0.974588i
$45$	−0.355157	−	0.615150i	−0.0529437	−	0.0917012i
$46$	1.73171	−	4.47227i	0.255326	−	0.659400i
$47$	10.3528	+	5.97721i	1.51012	+	0.871865i	0.999930	+	0.0118005i	$0.00375629\pi$
$47$	10.3528	+	5.97721i	1.51012	+	0.871865i	0.510185	+	0.860065i	$0.329577\pi$
$48$	−0.909632	+	0.415415i	−0.131294	+	0.0599600i
$49$	6.95376	−	0.803280i	0.993394	−	0.114754i
$50$	−2.94390	+	3.39744i	−0.416330	+	0.480470i
$51$	0.479865	+	0.930808i	0.0671945	+	0.130339i
$52$	1.38967	+	0.480970i	0.192713	+	0.0666986i
$53$	−4.73457	−	6.02049i	−0.650343	−	0.826978i	0.343339	−	0.939211i	$-0.388442\pi$
$53$	−4.73457	−	6.02049i	−0.650343	−	0.826978i	−0.993682	+	0.112234i	$0.964200\pi$
$54$	0.690079	+	0.723734i	0.0939079	+	0.0984877i
$55$	−2.49389	−	3.88057i	−0.336276	−	0.523256i
$56$	2.57722	+	0.598265i	0.344396	+	0.0799465i
$57$	−0.139210	−	0.0635750i	−0.0184388	−	0.00842072i
$58$	0.993787	+	1.39558i	0.130491	+	0.183248i
$59$	4.72388	+	11.7997i	0.614997	+	1.53619i	0.828938	+	0.559341i	$0.188946\pi$
$59$	4.72388	+	11.7997i	0.614997	+	1.53619i	−0.213941	+	0.976847i	$0.568630\pi$
$60$	−0.325485	+	0.631353i	−0.0420199	+	0.0815073i
$61$	−5.82154	+	5.55083i	−0.745372	+	0.710711i	−0.964236	−	0.265045i	$-0.914613\pi$
$61$	−5.82154	+	5.55083i	−0.745372	+	0.710711i	0.218864	+	0.975755i	$0.429765\pi$
$62$	1.68440	−	0.242181i	0.213919	−	0.0307570i
$63$	−0.277567	−	2.63115i	−0.0349701	−	0.331494i
$64$	0.841254	+	0.540641i	0.105157	+	0.0675801i
$65$	0.987104	−	0.341640i	0.122435	−	0.0423752i
$66$	4.69999	+	4.48143i	0.578529	+	0.551626i
$67$	−6.00548	−	4.27649i	−0.733687	−	0.522456i	0.151062	−	0.988524i	$-0.451731\pi$
$67$	−6.00548	−	4.27649i	−0.733687	−	0.522456i	−0.884749	+	0.466068i	$0.845670\pi$
$68$	0.523611	−	0.906921i	0.0634972	−	0.109980i
$69$	2.44497	+	4.12579i	0.294340	+	0.496686i
$70$	1.70167	−	0.797588i	0.203388	−	0.0953300i
$71$	4.45625	+	9.75783i	0.528860	+	1.15804i	0.965975	+	0.258636i	$0.0832730\pi$
$71$	4.45625	+	9.75783i	0.528860	+	1.15804i	−0.437115	+	0.899406i	$0.644000\pi$
$72$	0.235759	−	0.971812i	0.0277845	−	0.114529i
$73$	0.725294	−	3.76318i	0.0848892	−	0.440447i	−0.914470	−	0.404654i	$-0.867392\pi$
$73$	0.725294	−	3.76318i	0.0848892	−	0.440447i	0.999359	−	0.0357934i	$-0.0113958\pi$
$74$	−4.22051	−	0.201048i	−0.490625	−	0.0233713i
$75$	−0.850770	−	4.41421i	−0.0982385	−	0.509710i
$76$	0.0217798	+	0.151482i	0.00249832	+	0.0173762i
$77$	−2.61353	−	16.9818i	−0.297839	−	1.93526i
$78$	−1.23711	+	0.795040i	−0.140075	+	0.0900206i
$79$	0.501888	−	0.638203i	0.0564668	−	0.0718034i	−0.756999	−	0.653416i	$-0.773335\pi$
$79$	0.501888	−	0.638203i	0.0564668	−	0.0718034i	0.813466	+	0.581612i	$0.197578\pi$
$80$	0.707098	−	0.0675197i	0.0790560	−	0.00754893i
$81$	−0.995472	+	0.0950560i	−0.110608	+	0.0105618i
$82$	1.03705	−	1.31872i	0.114524	−	0.145628i
$83$	−2.23962	+	1.43932i	−0.245830	+	0.157985i	−0.657754	−	0.753233i	$-0.728493\pi$
$83$	−2.23962	+	1.43932i	−0.245830	+	0.157985i	0.411924	+	0.911218i	$0.364857\pi$
$84$	−2.06340	+	1.65601i	−0.225136	+	0.180686i
$85$	−0.105862	−	0.736286i	−0.0114823	−	0.0798614i
$86$	1.06870	+	5.54494i	0.115241	+	0.597926i
$87$	−1.71132	−	0.0815201i	−0.183472	−	0.00873987i
$88$	1.22901	−	6.37673i	0.131013	−	0.679762i
$89$	1.27150	−	5.24121i	0.134779	−	0.555567i	−0.863875	−	0.503706i	$-0.831969\pi$
$89$	1.27150	−	5.24121i	0.134779	−	0.555567i	0.998654	−	0.0518613i	$-0.0165154\pi$
$90$	−0.295075	−	0.646125i	−0.0311037	−	0.0681075i
$91$	3.87657	+	0.331459i	0.406375	+	0.0347464i
$92$	2.14898	−	4.28741i	0.224047	−	0.446993i
$93$	−0.850862	+	1.47374i	−0.0882303	+	0.152819i
$94$	9.73778	+	6.93424i	1.00438	+	0.715212i
$95$	0.0786745	+	0.0750160i	0.00807183	+	0.00769648i
$96$	−0.945001	+	0.327068i	−0.0964487	+	0.0333812i
$97$	−5.80748	−	3.73224i	−0.589660	−	0.378951i	0.211521	−	0.977373i	$-0.432158\pi$
$97$	−5.80748	−	3.73224i	−0.589660	−	0.378951i	−0.801181	+	0.598422i	$0.795795\pi$
$98$	6.99863	−	0.138647i	0.706968	−	0.0140054i
$99$	−6.42799	+	0.924205i	−0.646037	+	0.0928861i
$100$	−3.25351	+	3.10222i	−0.325351	+	0.310222i
$101$	6.73638	−	13.0668i	0.670295	−	1.30019i	−0.270991	−	0.962582i	$-0.587352\pi$
$101$	6.73638	−	13.0668i	0.670295	−	1.30019i	0.941286	−	0.337609i	$-0.109618\pi$
$102$	0.389213	+	0.972207i	0.0385378	+	0.0962629i
$103$	1.46242	+	2.05368i	0.144096	+	0.202355i	0.880316	−	0.474388i	$-0.157330\pi$
$103$	1.46242	+	2.05368i	0.144096	+	0.202355i	−0.736220	+	0.676743i	$0.763391\pi$
$104$	1.33766	+	0.610889i	0.131168	+	0.0599026i
$105$	−0.424956	+	1.83064i	−0.0414714	+	0.178652i
$106$	−4.14084	−	6.44328i	−0.402194	−	0.625826i
$107$	−5.19275	−	5.44600i	−0.502002	−	0.526485i	0.423161	−	0.906054i	$-0.360920\pi$
$107$	−5.19275	−	5.44600i	−0.502002	−	0.526485i	−0.925163	+	0.379570i	$0.876072\pi$
$108$	0.618159	+	0.786053i	0.0594824	+	0.0756380i
$109$	8.42666	+	2.91650i	0.807128	+	0.279350i	0.699308	−	0.714821i	$-0.253492\pi$
$109$	8.42666	+	2.91650i	0.807128	+	0.279350i	0.107820	+	0.994170i	$0.465613\pi$
$110$	−2.11373	−	4.10006i	−0.201536	−	0.390925i
$111$	2.76698	−	3.19327i	0.262630	−	0.303092i
$112$	2.50868	+	0.840536i	0.237048	+	0.0794232i
$113$	−18.1809	+	8.30292i	−1.71031	+	0.781073i	−0.713554	+	0.700600i	$0.752916\pi$
$113$	−18.1809	+	8.30292i	−1.71031	+	0.781073i	−0.996757	+	0.0804732i	$0.974357\pi$
$114$	−0.132536	−	0.0765199i	−0.0124132	−	0.00716675i
$115$	−0.682675	−	3.33744i	−0.0636598	−	0.311218i
$116$	0.856629	+	1.48372i	0.0795360	+	0.137760i
$117$	0.139785	−	1.46389i	0.0129231	−	0.135337i
$118$	3.58086	+	12.1953i	0.329645	+	1.12267i
$119$	0.754226	−	2.66606i	0.0691398	−	0.244397i
$120$	−0.384025	+	0.597554i	−0.0350565	+	0.0545490i
$121$	−30.6099	+	5.89957i	−2.78271	+	0.536324i
$122$	−6.32282	+	4.97232i	−0.572441	+	0.450173i
$123$	0.395521	+	1.63036i	0.0356629	+	0.147005i
$124$	1.69980	−	0.0809713i	0.152646	−	0.00727144i
$125$	−0.959879	+	6.67611i	−0.0858542	+	0.597129i
$126$	−0.0262030	−	2.64562i	−0.00233435	−	0.235691i
$127$	−2.18186	+	4.77760i	−0.193609	+	0.423944i	−0.981394	−	0.192006i	$-0.938501\pi$
$127$	−2.18186	+	4.77760i	−0.193609	+	0.423944i	0.787785	+	0.615950i	$0.211228\pi$
$128$	0.786053	+	0.618159i	0.0694779	+	0.0546381i
$129$	−5.01924	−	2.58760i	−0.441920	−	0.227825i
$130$	1.01511	−	0.246263i	0.0890310	−	0.0215987i
$131$	−7.24834	+	18.1055i	−0.633290	+	1.58188i	0.169440	+	0.985540i	$0.445804\pi$
$131$	−7.24834	+	18.1055i	−0.633290	+	1.58188i	−0.802730	+	0.596342i	$0.796620\pi$
$132$	4.25272	+	4.90791i	0.370152	+	0.427178i
$133$	0.154204	+	0.374392i	0.0133711	+	0.0324639i
$134$	−5.57178	−	4.82798i	−0.481329	−	0.417074i
$135$	0.690292	+	0.167463i	0.0594109	+	0.0144129i
$136$	0.607448	−	0.853042i	0.0520883	−	0.0731477i
$137$	4.34602	−	2.50918i	0.371306	−	0.214374i	−0.302723	−	0.953079i	$-0.597896\pi$
$137$	4.34602	−	2.50918i	0.371306	−	0.214374i	0.674029	+	0.738705i	$0.264562\pi$
$138$	2.04172	+	4.33951i	0.173803	+	0.369404i
$139$			10.7930i			0.915447i	0.889095	+	0.457723i	$0.151335\pi$
$139$			10.7930i			0.915447i	−0.889095	+	0.457723i	$0.848665\pi$
$140$	1.76978	−	0.632222i	0.149574	−	0.0534325i
$141$	−11.4702	+	3.36795i	−0.965963	+	0.283632i
$142$	3.50853	+	10.1372i	0.294430	+	0.850698i
$143$	0.454402	−	9.53908i	0.0379990	−	0.797698i
$144$	0.327068	−	0.945001i	0.0272557	−	0.0787501i
$145$	1.12978	+	0.452295i	0.0938230	+	0.0375611i
$146$	1.07972	−	3.67720i	0.0893585	−	0.304327i
$147$	−4.21728	+	5.58700i	−0.347835	+	0.460808i
$148$	−4.18229	−	0.601323i	−0.343782	−	0.0494284i
$149$	−3.52582	+	2.51072i	−0.288846	+	0.205686i	−0.715290	−	0.698828i	$-0.753705\pi$
$149$	−3.52582	+	2.51072i	−0.288846	+	0.205686i	0.426444	+	0.904514i	$0.359766\pi$
$150$	−0.427320	−	4.47510i	−0.0348905	−	0.365390i
$151$	0.119854	−	0.0479825i	0.00975362	−	0.00390476i	−0.366781	−	0.930308i	$-0.619540\pi$
$151$	0.119854	−	0.0479825i	0.00975362	−	0.00390476i	0.376534	+	0.926403i	$0.377116\pi$
$152$	0.00728193	+	0.152866i	0.000590642	+	0.0123991i
$153$	−1.00480	−	0.295037i	−0.0812335	−	0.0238523i
$154$	−0.987472	−	17.1533i	−0.0795728	−	1.38226i
$155$	0.913519	−	0.791569i	0.0733756	−	0.0635803i
$156$	−1.30708	+	0.673846i	−0.104650	+	0.0539508i
$157$	5.38504	+	1.03788i	0.429773	+	0.0828319i	0.399550	−	0.916711i	$-0.369166\pi$
$157$	5.38504	+	1.03788i	0.429773	+	0.0828319i	0.0302225	+	0.999543i	$0.490378\pi$
$158$	0.560281	−	0.587605i	0.0445735	−	0.0467474i
$159$	7.62446	+	0.728047i	0.604659	+	0.0577379i
$160$	0.710314			0.0561553
$161$	2.72849	−	12.3917i	0.215035	−	0.976606i
$162$	−1.00000			−0.0785674
$163$	−5.89265	−	0.562680i	−0.461548	−	0.0440725i	−0.138308	−	0.990389i	$-0.544166\pi$
$163$	−5.89265	−	0.562680i	−0.461548	−	0.0440725i	−0.323241	+	0.946317i	$0.604772\pi$
$164$	1.15771	−	1.21417i	0.0904021	−	0.0948109i
$165$	4.52948	+	0.872987i	0.352620	+	0.0679619i
$166$	−2.36629	+	1.21991i	−0.183660	+	0.0946833i
$167$	3.41404	−	2.95828i	0.264186	−	0.228919i	−0.512687	−	0.858575i	$-0.671350\pi$
$167$	3.41404	−	2.95828i	0.264186	−	0.228919i	0.776873	+	0.629657i	$0.216804\pi$
$168$	−2.21147	+	1.45237i	−0.170619	+	0.112053i
$169$	−10.3985	−	3.05327i	−0.799883	−	0.234867i
$170$	−0.0353941	−	0.743014i	−0.00271461	−	0.0569866i
$171$	0.142077	−	0.0568792i	0.0108649	−	0.00434966i
$172$	0.536780	+	5.62142i	0.0409291	+	0.428629i
$173$	−12.6205	+	8.98705i	−0.959522	+	0.683273i	−0.948537	−	0.316667i	$-0.897436\pi$
$173$	−12.6205	+	8.98705i	−0.959522	+	0.683273i	−0.0109853	+	0.999940i	$0.503497\pi$
$174$	−1.69582	−	0.243822i	−0.128560	−	0.0184841i
$175$	−6.33089	+	10.0689i	−0.478570	+	0.761140i
$176$	1.82960	−	6.23103i	0.137911	−	0.469682i
$177$	−11.7997	−	4.72388i	−0.886918	−	0.355069i
$178$	1.76396	−	5.09661i	0.132214	−	0.382007i
$179$	1.05352	−	22.1160i	0.0787435	−	1.65303i	−0.521529	−	0.853233i	$-0.674638\pi$
$179$	1.05352	−	22.1160i	0.0787435	−	1.65303i	0.600273	−	0.799795i	$-0.295059\pi$
$180$	−0.232321	−	0.671248i	−0.0173162	−	0.0500318i
$181$	−14.4440	+	4.24113i	−1.07361	+	0.315241i	−0.770320	−	0.637657i	$-0.779904\pi$
$181$	−14.4440	+	4.24113i	−1.07361	+	0.315241i	−0.303291	+	0.952898i	$0.598085\pi$
$182$	3.82751	+	0.698450i	0.283714	+	0.0517725i
$183$		−	8.04376i		−	0.594612i
$184$	2.54679	−	4.06372i	0.187752	−	0.299582i
$185$	−2.59919	+	1.50065i	−0.191097	+	0.110330i
$186$	−0.987097	+	1.38618i	−0.0723774	+	0.101640i
$187$	−6.60905	−	1.60334i	−0.483302	−	0.117248i
$188$	9.03454	+	7.82848i	0.658912	+	0.570950i
$189$	2.09580	+	1.61482i	0.152447	+	0.117461i
$190$	0.0711875	+	0.0821548i	0.00516449	+	0.00596014i
$191$	3.28550	−	8.20677i	0.237730	−	0.593821i	−0.760743	−	0.649053i	$-0.775165\pi$
$191$	3.28550	−	8.20677i	0.237730	−	0.593821i	0.998474	+	0.0552314i	$0.0175897\pi$
$192$	−0.971812	+	0.235759i	−0.0701345	+	0.0170144i
$193$	−1.18493	−	0.610876i	−0.0852935	−	0.0439718i	0.415052	−	0.909798i	$-0.363763\pi$
$193$	−1.18493	−	0.610876i	−0.0852935	−	0.0439718i	−0.500346	+	0.865826i	$0.666794\pi$
$194$	−5.42641	−	4.26737i	−0.389593	−	0.306380i
$195$	−0.433923	+	0.950160i	−0.0310739	+	0.0680423i
$196$	6.98012	+	0.527243i	0.498580	+	0.0376602i
$197$	0.905356	−	6.29689i	0.0645039	−	0.448635i	−0.931817	−	0.362929i	$-0.881777\pi$
$197$	0.905356	−	6.29689i	0.0645039	−	0.448635i	0.996321	−	0.0857052i	$-0.0273143\pi$
$198$	−6.48673	+	0.309001i	−0.460992	+	0.0219598i
$199$	1.95419	+	8.05526i	0.138529	+	0.571023i	0.998189	+	0.0601566i	$0.0191600\pi$
$199$	1.95419	+	8.05526i	0.138529	+	0.571023i	−0.859660	+	0.510866i	$0.829325\pi$
$200$	−3.53367	+	2.77890i	−0.249868	+	0.196498i
$201$	7.23930	−	1.39526i	0.510621	−	0.0984140i
$202$	7.94795	−	12.3673i	0.559216	−	0.870157i
$203$	3.16036	+	3.24944i	0.221814	+	0.228066i
$204$	0.295037	+	1.00480i	0.0206567	+	0.0703502i
$205$	0.113274	−	1.18626i	0.00791143	−	0.0828522i
$206$	1.26058	+	2.18339i	0.0878289	+	0.152124i
$207$	−4.67320	−	1.07761i	−0.324810	−	0.0748990i
$208$	1.27354	+	0.735276i	0.0883038	+	0.0509822i
$209$	0.904042	−	0.412862i	0.0625339	−	0.0285583i
$210$	−0.597045	+	1.78195i	−0.0412000	+	0.122967i
$211$	−10.5819	+	12.2122i	−0.728491	+	0.840723i	−0.992301	−	0.123851i	$-0.960475\pi$
$211$	−10.5819	+	12.2122i	−0.728491	+	0.840723i	0.263810	+	0.964575i	$0.415021\pi$
$212$	−3.50962	−	6.80771i	−0.241042	−	0.467556i
$213$	−10.1372	−	3.50853i	−0.694592	−	0.240401i
$214$	−4.65156	−	5.91494i	−0.317974	−	0.404337i
$215$	2.76800	+	2.90300i	0.188776	+	0.197983i
$216$	0.540641	+	0.841254i	0.0367859	+	0.0572401i
$217$	4.30719	−	1.31118i	0.292391	−	0.0890085i
$218$	8.11127	+	3.70429i	0.549365	+	0.250886i
$219$	2.22303	+	3.12181i	0.150219	+	0.210953i
$220$	−1.71442	−	4.28242i	−0.115586	−	0.288721i
$221$	0.705666	−	1.36880i	0.0474682	−	0.0920755i
$222$	3.05799	−	2.91579i	0.205239	−	0.195695i
$223$	6.46611	−	0.929687i	0.433003	−	0.0622564i	0.0776327	−	0.996982i	$-0.475264\pi$
$223$	6.46611	−	0.929687i	0.433003	−	0.0622564i	0.355370	+	0.934726i	$0.384355\pi$
$224$	2.41743	+	1.07520i	0.161521	+	0.0718395i
$225$	3.78182	+	2.43043i	0.252121	+	0.162028i
$226$	−18.8878	+	6.53712i	−1.25640	+	0.434843i
$227$	−11.2210	−	10.6992i	−0.744765	−	0.710132i	0.219341	−	0.975648i	$-0.429609\pi$
$227$	−11.2210	−	10.6992i	−0.744765	−	0.710132i	−0.964106	+	0.265516i	$0.914458\pi$
$228$	−0.124663	−	0.0887718i	−0.00825598	−	0.00587906i
$229$	7.99065	−	13.8402i	0.528037	−	0.914587i	−0.471429	−	0.881904i	$-0.656262\pi$
$229$	7.99065	−	13.8402i	0.528037	−	0.914587i	0.999466	−	0.0326829i	$-0.0104051\pi$
$230$	−0.362340	−	3.38722i	−0.0238920	−	0.223347i
$231$	14.0939	+	9.82729i	0.927308	+	0.646588i
$232$	0.711713	+	1.55843i	0.0467262	+	0.102316i
$233$	−5.30400	+	21.8634i	−0.347477	+	1.43232i	0.483174	+	0.875524i	$0.339484\pi$
$233$	−5.30400	+	21.8634i	−0.347477	+	1.43232i	−0.830650	+	0.556794i	$0.812031\pi$
$234$	0.278304	−	1.44398i	0.0181933	−	0.0943957i
$235$	8.48178	+	0.404037i	0.553290	+	0.0263565i
$236$	2.40541	+	12.4804i	0.156579	+	0.812408i
$237$	0.115547	+	0.803644i	0.00750556	+	0.0522023i
$238$	1.00424	−	2.58229i	0.0650949	−	0.167385i
$239$	19.6733	−	12.6432i	1.27256	−	0.817823i	0.282607	−	0.959236i	$-0.408801\pi$
$239$	19.6733	−	12.6432i	1.27256	−	0.817823i	0.989951	+	0.141412i	$0.0451643\pi$
$240$	−0.439087	+	0.558345i	−0.0283430	+	0.0360410i
$241$	−10.4572	+	0.998540i	−0.673607	+	0.0643216i	−0.426253	−	0.904604i	$-0.640167\pi$
$241$	−10.4572	+	0.998540i	−0.673607	+	0.0643216i	−0.247353	+	0.968925i	$0.579561\pi$
$242$	−31.0320	+	2.96320i	−1.99482	+	0.190482i
$243$	0.618159	−	0.786053i	0.0396549	−	0.0504253i
$244$	−6.76684	+	4.34878i	−0.433203	+	0.278402i
$245$	4.12882	−	2.77050i	0.263780	−	0.177001i
$246$	0.238755	+	1.66057i	0.0152224	+	0.105874i
$247$	0.0425915	+	0.220986i	0.00271004	+	0.0140610i
$248$	1.69980	+	0.0809713i	0.107937	+	0.00514168i
$249$	0.503832	−	2.61413i	0.0319291	−	0.165664i
$250$	−1.59014	+	6.55463i	−0.100569	+	0.414551i
$251$	10.7874	+	23.6210i	0.680892	+	1.49095i	0.861695	+	0.507426i	$0.169403\pi$
$251$	10.7874	+	23.6210i	0.680892	+	1.49095i	−0.180804	+	0.983519i	$0.557870\pi$
$252$	0.225398	−	2.63613i	0.0141987	−	0.166061i
$253$	−30.6468	−	5.54614i	−1.92675	−	0.348683i
$254$	−2.62612	+	4.54857i	−0.164777	+	0.285403i
$255$	0.605928	+	0.431479i	0.0379447	+	0.0270203i
$256$	0.723734	+	0.690079i	0.0452334	+	0.0431299i
$257$	13.9001	−	4.81086i	0.867062	−	0.300093i	0.142912	−	0.989735i	$-0.454354\pi$
$257$	13.9001	−	4.81086i	0.867062	−	0.300093i	0.724150	+	0.689643i	$0.242232\pi$
$258$	−4.75055	−	3.05299i	−0.295756	−	0.190071i
$259$	−11.1174	+	1.17280i	−0.690802	+	0.0728744i
$260$	1.03392	−	0.148656i	0.0641211	−	0.00921922i
$261$	1.23994	−	1.18228i	0.0767505	−	0.0731815i
$262$	−8.93655	+	17.3345i	−0.552102	+	1.07093i
$263$	−8.57346	−	21.4155i	−0.528662	−	1.32053i	−0.916952	−	0.398997i	$-0.869358\pi$
$263$	−8.57346	−	21.4155i	−0.528662	−	1.32053i	0.388290	−	0.921537i	$-0.373066\pi$
$264$	3.76694	+	5.28993i	0.231839	+	0.325573i
$265$	−4.94876	−	2.26002i	−0.304000	−	0.138832i
$266$	0.117917	+	0.387355i	0.00722996	+	0.0237503i
$267$	2.91580	+	4.53708i	0.178444	+	0.277665i
$268$	−5.08763	−	5.33575i	−0.310776	−	0.325933i
$269$	−17.3079	−	22.0088i	−1.05528	−	1.34190i	−0.937159	−	0.348904i	$-0.886554\pi$
$269$	−17.3079	−	22.0088i	−1.05528	−	1.34190i	−0.118125	−	0.992999i	$-0.537688\pi$
$270$	0.671248	+	0.232321i	0.0408508	+	0.0141386i
$271$	12.4327	+	24.1160i	0.755230	+	1.46494i	0.881117	+	0.472898i	$0.156792\pi$
$271$	12.4327	+	24.1160i	0.755230	+	1.46494i	−0.125887	+	0.992045i	$0.540178\pi$
$272$	0.685785	−	0.791438i	0.0415818	−	0.0479880i
$273$	−2.91503	+	2.57687i	−0.176425	+	0.155959i
$274$	4.56486	−	2.08470i	0.275773	−	0.125941i
$275$	25.2826	+	14.5969i	1.52460	+	0.880228i
$276$	1.61998	+	4.51394i	0.0975112	+	0.271707i
$277$	−1.03335	−	1.78981i	−0.0620878	−	0.107539i	0.833311	−	0.552805i	$-0.186443\pi$
$277$	−1.03335	−	1.78981i	−0.0620878	−	0.107539i	−0.895398	+	0.445266i	$0.853109\pi$
$278$	−1.02594	+	10.7441i	−0.0615315	+	0.644387i
$279$	−0.479431	−	1.63279i	−0.0287028	−	0.0977527i
$280$	1.82186	−	0.461131i	0.108877	−	0.0275579i
$281$	8.70445	−	13.5444i	0.519264	−	0.807990i	−0.478268	−	0.878214i	$-0.658735\pi$
$281$	8.70445	−	13.5444i	0.519264	−	0.807990i	0.997531	+	0.0702241i	$0.0223714\pi$
$282$	−11.7384	+	2.26239i	−0.699011	+	0.134723i
$283$	−11.2897	+	8.87833i	−0.671104	+	0.527762i	−0.894558	−	0.446953i	$-0.852509\pi$
$283$	−11.2897	+	8.87833i	−0.671104	+	0.527762i	0.223454	+	0.974714i	$0.428267\pi$
$284$	2.52904	+	10.4248i	0.150071	+	0.618601i
$285$	−0.108583	+	0.00517246i	−0.00643192	+	0.000306390i
$286$	1.35909	−	9.45269i	0.0803648	−	0.558949i
$287$	2.18114	−	3.86577i	0.128749	−	0.228189i
$288$	0.415415	−	0.909632i	0.0244786	−	0.0536006i
$289$	12.5009	+	9.83078i	0.735345	+	0.578281i
$290$	1.08167	+	0.557640i	0.0635178	+	0.0327457i
$291$	6.70876	−	1.62753i	0.393275	−	0.0954074i
$292$	1.42437	−	3.55791i	0.0833552	−	0.208211i
$293$	−6.13649	−	7.08188i	−0.358497	−	0.413728i	0.547638	−	0.836715i	$-0.315527\pi$
$293$	−6.13649	−	7.08188i	−0.358497	−	0.413728i	−0.906136	+	0.422987i	$0.860982\pi$
$294$	−4.72926	+	5.16082i	−0.275816	+	0.300985i
$295$	6.82305	+	5.91221i	0.397253	+	0.344222i
$296$	−4.10619	−	0.996152i	−0.238668	−	0.0579002i
$297$	3.76694	−	5.28993i	0.218580	−	0.306953i
$298$	−3.74851	+	2.16420i	−0.217145	+	0.125369i
$299$	2.85661	−	6.44808i	0.165202	−	0.372902i
$300$		−	4.49545i		−	0.259545i
$301$	5.02616	+	14.0697i	0.289703	+	0.810965i
$302$	0.123873	−	0.0363723i	0.00712808	−	0.00209299i
$303$	4.80822	+	13.8924i	0.276225	+	0.798100i
$304$	−0.00728193	+	0.152866i	−0.000417647	+	0.00876749i
$305$	−1.86873	+	5.39935i	−0.107003	+	0.309166i
$306$	−0.972207	−	0.389213i	−0.0555774	−	0.0222498i
$307$	7.85175	−	26.7406i	0.448123	−	1.52617i	−0.357599	−	0.933875i	$-0.616405\pi$
$307$	7.85175	−	26.7406i	0.448123	−	1.52617i	0.805723	−	0.592293i	$-0.201777\pi$
$308$	0.647528	−	17.1695i	0.0368963	−	0.978325i
$309$	−2.49550	−	0.358799i	−0.141964	−	0.0204114i
$310$	0.984626	−	0.701149i	0.0559230	−	0.0398226i
$311$	1.09798	+	11.4986i	0.0622609	+	0.652025i	0.971705	+	0.236199i	$0.0759016\pi$
$311$	1.09798	+	11.4986i	0.0622609	+	0.652025i	−0.909444	+	0.415827i	$0.863492\pi$
$312$	−1.36521	+	0.546549i	−0.0772900	+	0.0309422i
$313$	0.915601	+	19.2208i	0.0517529	+	1.08643i	0.864122	+	0.503282i	$0.167874\pi$
$313$	0.915601	+	19.2208i	0.0517529	+	1.08643i	−0.812369	+	0.583144i	$0.801822\pi$
$314$	5.26200	+	1.54506i	0.296952	+	0.0871929i
$315$	−1.03164	−	1.57084i	−0.0581265	−	0.0885068i
$316$	0.613599	−	0.531687i	0.0345176	−	0.0299097i
$317$	−17.2763	+	8.90654i	−0.970332	+	0.500241i	−0.869108	−	0.494623i	$-0.835306\pi$
$317$	−17.2763	+	8.90654i	−0.970332	+	0.500241i	−0.101224	+	0.994864i	$0.532276\pi$
$318$	7.52073	+	1.44950i	0.421742	+	0.0812840i
$319$	7.67785	−	8.05230i	0.429877	−	0.450842i
$320$	0.707098	+	0.0675197i	0.0395280	+	0.00377446i
$321$	7.52486			0.419997
$322$	3.89405	−	12.0763i	0.217007	−	0.672984i
$323$	0.160267			0.00891748
$324$	−0.995472	−	0.0950560i	−0.0553040	−	0.00528089i
$325$	−4.56197	+	4.78446i	−0.253053	+	0.265394i
$326$	−5.81248	−	1.12026i	−0.321924	−	0.0620457i
$327$	−7.92583	+	4.08605i	−0.438299	+	0.225959i
$328$	1.26788	−	1.09863i	0.0700072	−	0.0606615i
$329$	28.2546	+	14.2138i	1.55773	+	0.783635i
$330$	4.42599	+	1.29959i	0.243643	+	0.0715400i
$331$	−0.543825	−	11.4163i	−0.0298913	−	0.627496i	−0.963259	−	0.268574i	$-0.913448\pi$
$331$	−0.543825	−	11.4163i	−0.0298913	−	0.627496i	0.933368	−	0.358922i	$-0.116855\pi$
$332$	−2.47154	+	0.989454i	−0.135643	+	0.0543034i
$333$	0.401640	+	4.20617i	0.0220097	+	0.230497i
$334$	3.67978	−	2.62036i	0.201349	−	0.143380i
$335$	−5.18351	−	0.745276i	−0.283205	−	0.0407188i
$336$	−2.33952	+	1.23558i	−0.127631	+	0.0674066i
$337$	−4.22742	+	14.3973i	−0.230282	+	0.784270i	0.760563	+	0.649265i	$0.224923\pi$
$337$	−4.22742	+	14.3973i	−0.230282	+	0.784270i	−0.990845	+	0.135005i	$0.956895\pi$
$338$	−10.0612	−	4.02788i	−0.547255	−	0.219088i
$339$	6.53712	−	18.8878i	0.355048	−	1.02584i
$340$	0.0353941	−	0.743014i	0.00191952	−	0.0402956i
$341$	−3.61448	−	10.4433i	−0.195735	−	0.565539i
$342$	0.146841	−	0.0431163i	0.00794023	−	0.00233146i
$343$	18.2454	−	3.17914i	0.985157	−	0.171657i
$344$			5.64699i			0.304465i
$345$	2.88652	+	1.80902i	0.155405	+	0.0973946i
$346$	−13.4177	+	7.74669i	−0.721338	+	0.416465i
$347$	17.1143	−	24.0337i	0.918746	−	1.29020i	−0.0380011	−	0.999278i	$-0.512099\pi$
$347$	17.1143	−	24.0337i	0.918746	−	1.29020i	0.956747	−	0.290921i	$-0.0939616\pi$
$348$	−1.66496	−	0.403916i	−0.0892514	−	0.0216522i
$349$	16.4483	+	14.2525i	0.880457	+	0.762920i	0.972517	−	0.232834i	$-0.0747997\pi$
$349$	16.4483	+	14.2525i	0.880457	+	0.762920i	−0.0920601	+	0.995753i	$0.529345\pi$
$350$	−7.25934	+	9.42156i	−0.388028	+	0.503603i
$351$	0.963006	+	1.11137i	0.0514015	+	0.0593205i
$352$	2.41361	−	6.02890i	0.128646	−	0.321342i
$353$	−15.4755	+	3.75431i	−0.823676	+	0.199822i	−0.625380	−	0.780320i	$-0.715056\pi$
$353$	−15.4755	+	3.75431i	−0.823676	+	0.199822i	−0.198296	+	0.980142i	$0.563541\pi$
$354$	−11.2972	−	5.82412i	−0.600440	−	0.309549i
$355$	5.98949	+	4.71019i	0.317889	+	0.249991i
$356$	2.24043	−	4.90586i	0.118743	−	0.260010i
$357$	1.40904	+	2.38565i	0.0745743	+	0.126262i
$358$	3.15101	−	21.9157i	0.166536	−	1.15828i
$359$	19.3730	−	0.922851i	1.02247	−	0.0487062i	0.470357	−	0.882476i	$-0.344125\pi$
$359$	19.3730	−	0.922851i	1.02247	−	0.0487062i	0.552112	+	0.833770i	$0.313822\pi$
$360$	−0.167463	−	0.690292i	−0.00882607	−	0.0363816i
$361$	14.9166	−	11.7305i	0.785084	−	0.617397i
$362$	−14.7817	+	2.84894i	−0.776909	+	0.149737i
$363$	16.8535	−	26.2246i	0.884579	−	1.37643i
$364$	3.74379	+	1.05911i	0.196228	+	0.0555127i
$365$	−0.766943	−	2.61197i	−0.0401436	−	0.136717i
$366$	0.764608	−	8.00733i	0.0399667	−	0.418550i
$367$	14.5310	+	25.1684i	0.758511	+	1.31378i	0.943610	+	0.331059i	$0.107406\pi$
$367$	14.5310	+	25.1684i	0.758511	+	1.31378i	−0.185100	+	0.982720i	$0.559261\pi$
$368$	2.92154	−	3.80323i	0.152296	−	0.198257i
$369$	−1.45289	−	0.838825i	−0.0756343	−	0.0436675i
$370$	−2.73007	+	1.24678i	−0.141930	+	0.0648171i
$371$	−13.4212	−	15.1825i	−0.696796	−	0.788234i
$372$	−1.11439	+	1.28608i	−0.0577785	+	0.0666800i
$373$	−6.67908	−	12.9556i	−0.345829	−	0.670816i	0.650207	−	0.759757i	$-0.274682\pi$
$373$	−6.67908	−	12.9556i	−0.345829	−	0.670816i	−0.996037	+	0.0889412i	$0.971652\pi$
$374$	−6.42672	−	2.22431i	−0.332318	−	0.115016i
$375$	−4.16933	−	5.30174i	−0.215303	−	0.273781i
$376$	8.24949	+	8.65182i	0.425435	+	0.446183i
$377$	1.36211	+	2.11948i	0.0701522	+	0.109159i
$378$	1.93281	+	1.80672i	0.0994129	+	0.0929278i
$379$	19.8018	+	9.04318i	1.01715	+	0.464517i	0.852996	−	0.521918i	$-0.174783\pi$
$379$	19.8018	+	9.04318i	1.01715	+	0.464517i	0.164154	+	0.986435i	$0.447511\pi$
$380$	0.0630559	+	0.0885496i	0.00323470	+	0.00454250i
$381$	−1.95206	−	4.87601i	−0.100007	−	0.249806i
$382$	4.05072	−	7.85731i	0.207253	−	0.402015i
$383$	3.71730	−	3.54443i	0.189945	−	0.181112i	−0.589139	−	0.808032i	$-0.700533\pi$
$383$	3.71730	−	3.54443i	0.189945	−	0.181112i	0.779084	+	0.626919i	$0.215685\pi$
$384$	−0.989821	+	0.142315i	−0.0505116	+	0.00726247i
$385$	−7.17738	−	9.87084i	−0.365793	−	0.503065i
$386$	−1.12150	−	0.720746i	−0.0570829	−	0.0366850i
$387$	5.33641	−	1.84695i	0.271265	−	0.0938856i
$388$	−4.99620	−	4.76386i	−0.253643	−	0.241849i
$389$	1.38660	+	0.987395i	0.0703036	+	0.0500629i	0.614668	−	0.788786i	$-0.289290\pi$
$389$	1.38660	+	0.987395i	0.0703036	+	0.0500629i	−0.544365	+	0.838849i	$0.683229\pi$
$390$	−0.522277	+	0.904610i	−0.0264465	+	0.0458067i
$391$	−4.12390	−	2.86653i	−0.208554	−	0.144967i
$392$	6.89839	+	1.18836i	0.348421	+	0.0600211i
$393$	−8.10162	−	17.7401i	−0.408673	−	0.894868i
$394$	1.49981	−	6.18231i	0.0755595	−	0.311461i
$395$	0.109143	−	0.566288i	0.00549158	−	0.0284930i
$396$	−6.48673	−	0.309001i	−0.325971	−	0.0155279i
$397$	7.32395	+	38.0003i	0.367579	+	1.90718i	0.417993	+	0.908450i	$0.362733\pi$
$397$	7.32395	+	38.0003i	0.367579	+	1.90718i	−0.0504150	+	0.998728i	$0.516054\pi$
$398$	1.17964	+	8.20455i	0.0591298	+	0.411257i
$399$	−0.377373	−	0.146758i	−0.0188923	−	0.00734708i
$400$	−3.78182	+	2.43043i	−0.189091	+	0.121521i
$401$	−5.56854	+	7.08097i	−0.278079	+	0.353607i	−0.904951	−	0.425516i	$-0.860093\pi$
$401$	−5.56854	+	7.08097i	−0.278079	+	0.353607i	0.626872	+	0.779123i	$0.284335\pi$
$402$	7.33914	−	0.700803i	0.366043	−	0.0349529i
$403$	2.49114	−	0.237875i	0.124093	−	0.0118494i
$404$	9.08755	−	11.5558i	0.452122	−	0.574920i
$405$	−0.597554	+	0.384025i	−0.0296927	+	0.0190824i
$406$	2.83718	+	3.53514i	0.140807	+	0.175446i
$407$	3.90504	+	27.1602i	0.193566	+	1.34628i
$408$	0.198188	+	1.02830i	0.00981177	+	0.0509083i
$409$	−4.40218	−	0.209702i	−0.217674	−	0.0103691i	−0.0615383	−	0.998105i	$-0.519601\pi$
$409$	−4.40218	−	0.209702i	−0.217674	−	0.0103691i	−0.156136	+	0.987736i	$0.549904\pi$
$410$	0.225523	−	1.17012i	0.0111378	−	0.0577883i
$411$	−1.18312	+	4.87690i	−0.0583591	+	0.240560i
$412$	1.04733	+	2.29333i	0.0515982	+	0.112984i
$413$	14.2718	+	30.4491i	0.702268	+	1.49830i
$414$	−4.54960	−	1.51694i	−0.223601	−	0.0745538i
$415$	−0.945513	+	1.63768i	−0.0464134	+	0.0803904i
$416$	1.19788	+	0.853004i	0.0587307	+	0.0418219i
$417$	−7.81123	−	7.44799i	−0.382518	−	0.364730i
$418$	0.939193	−	0.325058i	0.0459374	−	0.0158991i
$419$	−10.1312	−	6.51094i	−0.494943	−	0.318080i	0.269248	−	0.963071i	$-0.413225\pi$
$419$	−10.1312	−	6.51094i	−0.494943	−	0.318080i	−0.764190	+	0.644991i	$0.776861\pi$
$420$	−0.763727	+	1.71713i	−0.0372661	+	0.0837875i
$421$	−5.03498	+	0.723920i	−0.245390	+	0.0352817i	−0.263912	−	0.964547i	$-0.585013\pi$
$421$	−5.03498	+	0.723920i	−0.245390	+	0.0352817i	0.0185224	+	0.999828i	$0.494104\pi$
$422$	−11.6949	+	11.1510i	−0.569297	+	0.542824i
$423$	5.47783	−	10.6255i	0.266341	−	0.516630i
$424$	−2.84661	−	7.11050i	−0.138244	−	0.345316i
$425$	2.73076	+	3.83481i	0.132461	+	0.186016i
$426$	−9.75783	−	4.45625i	−0.472769	−	0.215906i
$427$	−14.5328	+	15.5470i	−0.703294	+	0.752374i
$428$	−4.06825	−	6.33032i	−0.196646	−	0.305987i
$429$	6.59018	+	6.91158i	0.318177	+	0.333694i
$430$	2.47952	+	3.15297i	0.119573	+	0.152049i
$431$	−1.03944	−	0.359754i	−0.0500681	−	0.0173287i	0.301919	−	0.953334i	$-0.402373\pi$
$431$	−1.03944	−	0.359754i	−0.0500681	−	0.0173287i	−0.351987	+	0.936005i	$0.614494\pi$
$432$	0.458227	+	0.888835i	0.0220464	+	0.0427641i
$433$	−4.13650	+	4.77378i	−0.198788	+	0.229413i	−0.846388	−	0.532567i	$-0.821227\pi$
$433$	−4.13650	+	4.77378i	−0.198788	+	0.229413i	0.647600	+	0.761980i	$0.275773\pi$
$434$	4.41232	−	0.895816i	0.211798	−	0.0430005i
$435$	−1.10698	+	0.505540i	−0.0530755	+	0.0242388i
$436$	7.72243	+	4.45855i	0.369837	+	0.213526i
$437$	0.732678	−	0.0432542i	0.0350487	−	0.00206913i
$438$	1.91622	+	3.31899i	0.0915605	+	0.158587i
$439$	2.47460	−	25.9151i	0.118106	−	1.23686i	−0.721016	−	0.692919i	$-0.756324\pi$
$439$	2.47460	−	25.9151i	0.118106	−	1.23686i	0.839122	−	0.543944i	$-0.183070\pi$
$440$	−1.29959	−	4.42599i	−0.0619555	−	0.211001i
$441$	−1.13324	−	6.90766i	−0.0539640	−	0.328936i
$442$	0.832584	−	1.29553i	0.0396020	−	0.0616219i
$443$	−6.17237	+	1.18963i	−0.293258	+	0.0565209i	−0.333758	−	0.942659i	$-0.608317\pi$
$443$	−6.17237	+	1.18963i	−0.293258	+	0.0565209i	0.0405003	+	0.999180i	$0.487105\pi$
$444$	3.32131	−	2.61191i	0.157622	−	0.123956i
$445$	−0.903168	−	3.72291i	−0.0428143	−	0.176483i
$446$	6.52521	−	0.310834i	0.308977	−	0.0147184i
$447$	0.615996	−	4.28435i	0.0291356	−	0.202643i
$448$	2.30428	+	1.30012i	0.108867	+	0.0614248i
$449$	2.58160	−	5.65291i	0.121833	−	0.266777i	−0.838882	−	0.544313i	$-0.816790\pi$
$449$	2.58160	−	5.65291i	0.121833	−	0.266777i	0.960715	+	0.277536i	$0.0895176\pi$
$450$	3.53367	+	2.77890i	0.166579	+	0.130999i
$451$	−9.68369	−	4.99229i	−0.455987	−	0.235078i
$452$	−19.4236	+	4.71212i	−0.913611	+	0.221640i
$453$	−0.0479825	+	0.119854i	−0.00225441	+	0.00563126i
$454$	−10.1532	−	11.7174i	−0.476512	−	0.549925i
$455$	2.55537	−	1.05250i	0.119797	−	0.0493418i
$456$	−0.115660	−	0.100220i	−0.00541627	−	0.00469322i
$457$	36.3646	+	8.82195i	1.70106	+	0.412674i	0.964582	−	0.263784i	$-0.0849706\pi$
$457$	36.3646	+	8.82195i	1.70106	+	0.412674i	0.736482	+	0.676457i	$0.236486\pi$
$458$	9.27006	−	13.0180i	0.433162	−	0.608290i
$459$	0.906921	−	0.523611i	0.0423314	−	0.0244401i
$460$	−0.0387229	−	3.40633i	−0.00180546	−	0.158821i
$461$			32.9731i			1.53571i	0.640624	+	0.767854i	$0.278676\pi$
$461$			32.9731i			1.53571i	−0.640624	+	0.767854i	$0.721324\pi$
$462$	13.0959	+	11.1225i	0.609276	+	0.517465i
$463$	−27.5692	+	8.09504i	−1.28125	+	0.376208i	−0.850362	−	0.526198i	$-0.823617\pi$
$463$	−27.5692	+	8.09504i	−1.28125	+	0.376208i	−0.430886	+	0.902407i	$0.641799\pi$
$464$	0.560352	+	1.61903i	0.0260137	+	0.0751616i
$465$	−0.0575151	+	1.20739i	−0.00266720	+	0.0559914i
$466$	−7.35823	+	21.2602i	−0.340864	+	0.984861i
$467$	−0.365269	−	0.146232i	−0.0169026	−	0.00676680i	0.363196	−	0.931713i	$-0.381686\pi$
$467$	−0.365269	−	0.146232i	−0.0169026	−	0.00676680i	−0.380098	+	0.924946i	$0.624110\pi$
$468$	0.414302	−	1.41098i	0.0191511	−	0.0652228i
$469$	−16.5130	−	10.3826i	−0.762501	−	0.479426i
$470$	8.40496	+	1.20845i	0.387692	+	0.0557417i
$471$	−4.46725	+	3.18111i	−0.205840	+	0.146578i
$472$	1.20818	+	12.6526i	0.0556108	+	0.582382i
$473$	34.0451	−	13.6296i	1.56540	−	0.626690i
$474$	0.0386321	+	0.810988i	0.00177443	+	0.0372499i
$475$	−0.660115	−	0.193827i	−0.0302882	−	0.00889341i
$476$	1.24515	−	2.47514i	0.0570714	−	0.113448i
$477$	−5.78839	+	5.01567i	−0.265032	+	0.229652i
$478$	20.7860	−	10.7159i	0.950730	−	0.490135i
$479$	−21.8719	−	4.21546i	−0.999351	−	0.192609i	−0.336760	−	0.941590i	$-0.609331\pi$
$479$	−21.8719	−	4.21546i	−0.999351	−	0.192609i	−0.662591	+	0.748981i	$0.730543\pi$
$480$	−0.490173	+	0.514079i	−0.0223732	+	0.0234644i
$481$	−6.18539	−	0.590633i	−0.282029	−	0.0269305i
$482$	−10.5048			−0.478478
$483$	7.08545	+	10.5260i	0.322399	+	0.478949i
$484$	−31.1732			−1.41696
$485$	−4.88135	−	0.466113i	−0.221651	−	0.0211651i
$486$	0.690079	−	0.723734i	0.0313026	−	0.0328292i
$487$	16.2970	+	3.14099i	0.738487	+	0.142332i	0.544604	−	0.838693i	$-0.316680\pi$
$487$	16.2970	+	3.14099i	0.738487	+	0.142332i	0.193883	+	0.981025i	$0.437892\pi$
$488$	−7.14958	+	3.68586i	−0.323646	+	0.166851i
$489$	4.47363	−	3.87642i	0.202304	−	0.175298i
$490$	4.37347	−	2.36548i	0.197573	−	0.106862i
$491$	3.29555	+	0.967660i	0.148726	+	0.0436699i	0.355248	−	0.934772i	$-0.384396\pi$
$491$	3.29555	+	0.967660i	0.148726	+	0.0436699i	−0.206522	+	0.978442i	$0.566215\pi$
$492$	0.0798258	+	1.67575i	0.00359883	+	0.0755486i
$493$	1.66564	−	0.666823i	0.0750167	−	0.0300322i
$494$	0.0213926	+	0.224034i	0.000962500	+	0.0100798i
$495$	−3.75751	+	2.67571i	−0.168888	+	0.120264i
$496$	1.68440	+	0.242181i	0.0756319	+	0.0108742i
$497$	13.2544	+	25.0965i	0.594541	+	1.12573i
$498$	0.750040	−	2.55440i	0.0336101	−	0.114465i
$499$	−23.8544	−	9.54988i	−1.06787	−	0.427511i	−0.229894	−	0.973216i	$-0.573838\pi$
$499$	−23.8544	−	9.54988i	−1.06787	−	0.427511i	−0.837978	+	0.545705i	$0.816262\pi$
$500$	−2.20599	+	6.37380i	−0.0986551	+	0.285045i
$501$	−0.214947	+	4.51230i	−0.00960315	+	0.201595i
$502$	8.49319	+	24.5395i	0.379070	+	1.09525i
$503$	2.22382	−	0.652974i	0.0991554	−	0.0291147i	−0.231778	−	0.972769i	$-0.574454\pi$
$503$	2.22382	−	0.652974i	0.0991554	−	0.0291147i	0.330934	+	0.943654i	$0.392636\pi$
$504$	0.474958	−	2.60277i	0.0211563	−	0.115937i
$505$		−	10.4423i		−	0.464677i
$506$	−29.9808	−	8.43418i	−1.33281	−	0.374945i
$507$	9.38553	−	5.41874i	0.416826	−	0.240655i
$508$	−3.04660	+	4.27835i	−0.135171	+	0.189821i
$509$	−20.0024	−	4.85253i	−0.886591	−	0.215085i	−0.233494	−	0.972358i	$-0.575016\pi$
$509$	−20.0024	−	4.85253i	−0.886591	−	0.215085i	−0.653098	+	0.757274i	$0.726531\pi$
$510$	0.562170	+	0.487123i	0.0248933	+	0.0215702i
$511$	1.34356	−	10.0503i	0.0594355	−	0.444598i
$512$	0.654861	+	0.755750i	0.0289410	+	0.0333997i
$513$	−0.0568792	+	0.142077i	−0.00251128	+	0.00627286i
$514$	14.2944	−	3.46779i	0.630500	−	0.152958i
$515$	1.59174	+	0.820600i	0.0701406	+	0.0361600i
$516$	−4.43883	−	3.49073i	−0.195409	−	0.153671i
$517$	32.2499	−	70.6175i	1.41835	−	3.10575i
$518$	−11.1785	+	0.110716i	−0.491157	+	0.00486456i
$519$	2.20494	−	15.3357i	0.0967861	−	0.673162i
$520$	1.04337	−	0.0497019i	0.0457548	−	0.00217957i
$521$	−6.41149	−	26.4285i	−0.280892	−	1.15785i	−0.920998	−	0.389567i	$-0.872625\pi$
$521$	−6.41149	−	26.4285i	−0.280892	−	1.15785i	0.640106	−	0.768287i	$-0.278891\pi$
$522$	1.34671	−	1.05907i	0.0589440	−	0.0463540i
$523$	9.15434	−	1.76435i	0.400291	−	0.0771498i	0.0148674	−	0.999889i	$-0.495267\pi$
$523$	9.15434	−	1.76435i	0.400291	−	0.0771498i	0.385424	+	0.922740i	$0.374055\pi$
$524$	−10.5438	+	16.4065i	−0.460610	+	0.716722i
$525$	−2.91842	−	11.5302i	−0.127370	−	0.503221i
$526$	−6.49897	−	22.1334i	−0.283368	−	0.965064i
$527$	0.169398	−	1.77401i	0.00737908	−	0.0772773i
$528$	3.24704	+	5.62405i	0.141309	+	0.244755i
$529$	−19.6265	−	11.9917i	−0.853326	−	0.521377i
$530$	−4.71152	−	2.72020i	−0.204655	−	0.118158i
$531$	11.5615	−	5.27998i	0.501728	−	0.229132i
$532$	0.0805627	+	0.396810i	0.00349284	+	0.0172039i
$533$	1.61559	−	1.86449i	0.0699789	−	0.0807599i
$534$	2.47132	+	4.79370i	0.106945	+	0.207444i
$535$	−5.05105	−	1.74818i	−0.218376	−	0.0755806i
$536$	−4.55739	−	5.79520i	−0.196849	−	0.250314i
$537$	15.2791	+	16.0243i	0.659342	+	0.691498i
$538$	−15.1375	−	23.5544i	−0.652624	−	1.01550i
$539$	−9.48553	−	44.4580i	−0.408571	−	1.91494i
$540$	0.646125	+	0.295075i	0.0278048	+	0.0126980i
$541$	−10.7123	−	15.0433i	−0.460556	−	0.646761i	0.517358	−	0.855769i	$-0.326916\pi$
$541$	−10.7123	−	15.0433i	−0.460556	−	0.646761i	−0.977914	+	0.209009i	$0.932976\pi$
$542$	10.0840	+	25.1886i	0.433145	+	1.08194i
$543$	6.89802	−	13.3803i	0.296023	−	0.574204i
$544$	0.757910	−	0.722666i	0.0324951	−	0.0309841i
$545$	6.26947	−	0.901414i	0.268555	−	0.0386123i
$546$	−3.14678	+	2.28811i	−0.134670	+	0.0979222i
$547$	14.4405	+	9.28033i	0.617430	+	0.396798i	0.811637	−	0.584162i	$-0.198577\pi$
$547$	14.4405	+	9.28033i	0.617430	+	0.396798i	−0.194207	+	0.980961i	$0.562213\pi$
$548$	4.74235	−	1.64134i	0.202583	−	0.0701147i
$549$	5.82154	+	5.55083i	0.248457	+	0.236904i
$550$	23.7806	+	16.9341i	1.01401	+	0.722073i
$551$	−0.131098	+	0.227069i	−0.00558498	+	0.00967346i
$552$	1.18357	+	4.64749i	0.0503759	+	0.197810i
$553$	1.22863	−	1.76205i	0.0522468	−	0.0749300i
$554$	−0.858536	−	1.87993i	−0.0364757	−	0.0798706i
$555$	0.707581	−	2.91669i	0.0300351	−	0.123807i
$556$	−2.04258	+	10.5979i	−0.0866247	+	0.449452i
$557$	−0.188988	−	0.00900262i	−0.00800769	−	0.000381453i	0.0435777	−	0.999050i	$-0.486124\pi$
$557$	−0.188988	−	0.00900262i	−0.00800769	−	0.000381453i	−0.0515854	+	0.998669i	$0.516427\pi$
$558$	−0.322053	−	1.67097i	−0.0136336	−	0.0707379i
$559$	1.18181	+	8.21966i	0.0499852	+	0.347655i
$560$	1.85745	−	0.285864i	0.0784914	−	0.0120800i
$561$	5.72116	−	3.67677i	0.241548	−	0.155233i
$562$	9.95251	−	12.6556i	0.419821	−	0.533846i
$563$	4.67020	−	0.445950i	0.196826	−	0.0187946i	0.00382240	−	0.999993i	$-0.498783\pi$
$563$	4.67020	−	0.445950i	0.196826	−	0.0187946i	0.193003	+	0.981198i	$0.438177\pi$
$564$	−11.9003	+	1.13634i	−0.501092	+	0.0478485i
$565$	−8.77606	+	11.1597i	−0.369211	+	0.469491i
$566$	−12.0825	+	7.76497i	−0.507866	+	0.326386i
$567$	−2.61496	+	0.402448i	−0.109818	+	0.0169012i
$568$	1.52664	+	10.6180i	0.0640566	+	0.445523i
$569$	5.18588	+	26.9069i	0.217403	+	1.12800i	0.912499	+	0.409079i	$0.134150\pi$
$569$	5.18588	+	26.9069i	0.217403	+	1.12800i	−0.695096	+	0.718917i	$0.744638\pi$
$570$	−0.108583	−	0.00517246i	−0.00454805	−	0.000216650i
$571$	−1.29417	+	6.71480i	−0.0541594	+	0.281006i	−0.998904	−	0.0468010i	$-0.985097\pi$
$571$	−1.29417	+	6.71480i	−0.0541594	+	0.281006i	0.944745	+	0.327807i	$0.106309\pi$
$572$	2.25147	−	9.28070i	0.0941388	−	0.388045i
$573$	3.67227	+	8.04115i	0.153411	+	0.335924i
$574$	2.53873	−	3.64094i	0.105965	−	0.151970i
$575$	13.5189	+	16.7943i	0.563779	+	0.700370i
$576$	0.500000	−	0.866025i	0.0208333	−	0.0360844i
$577$	18.1057	+	12.8930i	0.753749	+	0.536743i	0.891115	−	0.453778i	$-0.149924\pi$
$577$	18.1057	+	12.8930i	0.753749	+	0.536743i	−0.137365	+	0.990520i	$0.543863\pi$
$578$	11.5098	+	10.9746i	0.478744	+	0.456481i
$579$	1.25981	−	0.436025i	0.0523559	−	0.0181206i
$580$	1.02376	+	0.657934i	0.0425095	+	0.0273192i
$581$	−5.69682	+	4.14233i	−0.236344	+	0.171853i
$582$	6.83309	−	0.982450i	0.283241	−	0.0407239i
$583$	−35.9979	+	34.3239i	−1.49088	+	1.42155i
$584$	1.75612	−	3.40641i	0.0726690	−	0.140958i
$585$	−0.388221	−	0.969730i	−0.0160510	−	0.0400934i
$586$	−5.43553	−	7.63313i	−0.224539	−	0.315322i
$587$	−11.1429	−	5.08880i	−0.459917	−	0.210037i	0.171963	−	0.985103i	$-0.444989\pi$
$587$	−11.1429	−	5.08880i	−0.459917	−	0.210037i	−0.631880	+	0.775066i	$0.717716\pi$
$588$	−5.19842	+	4.68791i	−0.214379	+	0.193326i
$589$	0.140800	+	0.219089i	0.00580156	+	0.00902740i
$590$	6.23016	+	6.53401i	0.256492	+	0.269001i
$591$	3.93250	+	5.00059i	0.161762	+	0.205697i
$592$	−3.99291	−	1.38196i	−0.164108	−	0.0567982i
$593$	12.3429	+	23.9419i	0.506863	+	0.983178i	0.993951	+	0.109825i	$0.0350289\pi$
$593$	12.3429	+	23.9419i	0.506863	+	0.983178i	−0.487088	+	0.873353i	$0.661941\pi$
$594$	4.25272	−	4.90791i	0.174491	−	0.201374i
$595$	−0.391579	−	1.92871i	−0.0160532	−	0.0790695i
$596$	−3.93726	+	1.79808i	−0.161276	+	0.0736524i
$597$	−7.17841	−	4.14446i	−0.293793	−	0.169621i
$598$	3.45660	−	6.14735i	0.141351	−	0.251384i
$599$	18.0666	+	31.2922i	0.738179	+	1.27856i	0.953314	+	0.301980i	$0.0976476\pi$
$599$	18.0666	+	31.2922i	0.738179	+	1.27856i	−0.215135	+	0.976584i	$0.569019\pi$
$600$	0.427320	−	4.47510i	0.0174453	−	0.182695i
$601$	−11.6896	−	39.8112i	−0.476830	−	1.62393i	−0.749626	−	0.661862i	$-0.769766\pi$
$601$	−11.6896	−	39.8112i	−0.476830	−	1.62393i	0.272796	−	0.962072i	$-0.412052\pi$
$602$	3.66599	+	14.4838i	0.149414	+	0.590315i
$603$	−3.98589	+	6.20216i	−0.162318	+	0.252572i
$604$	0.126769	−	0.0244328i	0.00515817	−	0.000994156i
$605$	−17.4054	+	13.6878i	−0.707630	+	0.556486i
$606$	3.46589	+	14.2866i	0.140792	+	0.580353i
$607$	−18.6900	+	0.890314i	−0.758603	+	0.0361367i	−0.423320	−	0.905980i	$-0.639135\pi$
$607$	−18.6900	+	0.890314i	−0.758603	+	0.0361367i	−0.335284	+	0.942117i	$0.608832\pi$
$608$	−0.0217798	+	0.151482i	−0.000883289	+	0.00614341i
$609$	−4.53263	+	0.0448925i	−0.183672	+	0.00181914i
$610$	−2.37351	+	5.19727i	−0.0961008	+	0.210431i
$611$	13.8185	+	10.8670i	0.559036	+	0.439631i
$612$	−0.930808	−	0.479865i	−0.0376257	−	0.0193974i
$613$	31.1171	−	7.54894i	1.25681	−	0.304899i	0.448568	−	0.893749i	$-0.351934\pi$
$613$	31.1171	−	7.54894i	1.25681	−	0.304899i	0.808242	+	0.588850i	$0.200419\pi$
$614$	10.3581	−	25.8732i	0.418017	−	1.04416i
$615$	0.780371	+	0.900596i	0.0314676	+	0.0363155i
$616$	2.27666	−	17.0302i	0.0917294	−	0.686168i
$617$	26.6334	+	23.0780i	1.07222	+	0.929085i	0.997676	−	0.0681328i	$-0.0217042\pi$
$617$	26.6334	+	23.0780i	1.07222	+	0.929085i	0.0745448	+	0.997218i	$0.476250\pi$
$618$	−2.45010	−	0.594387i	−0.0985573	−	0.0239097i
$619$	25.4044	−	35.6754i	1.02109	−	1.43392i	0.123885	−	0.992297i	$-0.460465\pi$
$619$	25.4044	−	35.6754i	1.02109	−	1.43392i	0.897202	−	0.441620i	$-0.145596\pi$
$620$	1.04682	−	0.604380i	0.0420411	−	0.0242725i
$621$	4.00478	−	2.63852i	0.160706	−	0.105880i
$622$			11.5509i			0.463149i
$623$	2.56156	−	14.0374i	0.102627	−	0.562395i
$624$	−1.41098	+	0.414302i	−0.0564846	+	0.0165854i
$625$	−5.78464	−	16.7136i	−0.231386	−	0.668545i
$626$	−0.915601	+	19.2208i	−0.0365948	+	0.768219i
$627$	−0.325058	+	0.939193i	−0.0129816	+	0.0375078i
$628$	5.09130	+	2.03825i	0.203165	+	0.0813350i
$629$	−1.24662	+	4.24559i	−0.0497059	+	0.169283i
$630$	−0.877653	−	1.66179i	−0.0349665	−	0.0662074i
$631$	−6.96865	−	1.00194i	−0.277418	−	0.0398866i	0.00220173	−	0.999998i	$-0.499299\pi$
$631$	−6.96865	−	1.00194i	−0.277418	−	0.0398866i	−0.279619	+	0.960111i	$0.590208\pi$
$632$	0.661361	−	0.470953i	0.0263075	−	0.0187335i
$633$	−1.53602	−	16.0859i	−0.0610512	−	0.639357i
$634$	−18.0447	+	7.22399i	−0.716645	+	0.286901i
$635$	0.177516	+	3.72651i	0.00704450	+	0.147882i
$636$	7.34889	+	2.15783i	0.291402	+	0.0855635i
$637$	10.2899	+	0.286050i	0.407700	+	0.0113337i
$638$	8.40851	−	7.28601i	0.332896	−	0.288456i
$639$	9.53474	−	4.91550i	0.377189	−	0.194454i
$640$	0.697478	+	0.134428i	0.0275702	+	0.00531373i
$641$	−17.2124	+	18.0518i	−0.679847	+	0.713003i	−0.969763	−	0.244049i	$-0.921524\pi$
$641$	−17.2124	+	18.0518i	−0.679847	+	0.713003i	0.289916	+	0.957052i	$0.406373\pi$
$642$	7.49079	+	0.715284i	0.295638	+	0.0282300i
$643$	22.5115			0.887767			0.443883	−	0.896085i	$-0.353600\pi$
$643$	22.5115			0.887767			0.443883	+	0.896085i	$0.353600\pi$
$644$	5.02434	−	11.6514i	0.197987	−	0.459131i
$645$	−4.01114			−0.157938
$646$	0.159541	+	0.0152343i	0.00627706	+	0.000599386i
$647$	−6.70685	+	7.03395i	−0.263674	+	0.276533i	−0.842240	−	0.539102i	$-0.818764\pi$
$647$	−6.70685	+	7.03395i	−0.263674	+	0.276533i	0.578567	+	0.815635i	$0.303612\pi$
$648$	−0.981929	−	0.189251i	−0.0385738	−	0.00743449i
$649$	73.3651	−	37.8224i	2.87983	−	1.48466i
$650$	−4.99611	+	4.32915i	−0.195963	+	0.169803i
$651$	−2.02336	+	4.02207i	−0.0793016	+	0.157638i
$652$	−5.67968	−	1.66770i	−0.222433	−	0.0653123i
$653$	0.253678	+	5.32535i	0.00992718	+	0.208397i	0.998381	+	0.0568763i	$0.0181141\pi$
$653$	0.253678	+	5.32535i	0.00992718	+	0.208397i	−0.988454	+	0.151521i	$0.951583\pi$
$654$	−8.27834	+	3.31415i	−0.323709	+	0.129593i
$655$	1.31680	+	13.7902i	0.0514517	+	0.538826i
$656$	1.36657	−	0.973133i	0.0533557	−	0.0379944i
$657$	−3.79343	−	0.545413i	−0.147996	−	0.0212786i
$658$	26.7756	+	16.8353i	1.04382	+	0.656307i
$659$	5.92814	−	20.1894i	0.230927	−	0.786467i	−0.759747	−	0.650218i	$-0.774677\pi$
$659$	5.92814	−	20.1894i	0.230927	−	0.786467i	0.990675	−	0.136248i	$-0.0435044\pi$
$660$	4.28242	+	1.71442i	0.166693	+	0.0667338i
$661$	4.04253	−	11.6801i	0.157236	−	0.454304i	−0.838676	−	0.544630i	$-0.816670\pi$
$661$	4.04253	−	11.6801i	0.157236	−	0.454304i	0.995912	+	0.0903267i	$0.0287911\pi$
$662$	0.543825	−	11.4163i	0.0211363	−	0.443707i
$663$	0.503683	+	1.45530i	0.0195614	+	0.0565190i
$664$	−2.55440	+	0.750040i	−0.0991299	+	0.0291072i
$665$	0.219216	+	0.186183i	0.00850083	+	0.00721985i
$666$			4.22530i			0.163727i
$667$	7.43471	−	3.49799i	0.287873	−	0.135443i
$668$	3.91220	−	2.25871i	0.151368	−	0.0873921i
$669$	−3.78928	+	5.32130i	−0.146502	+	0.205733i
$670$	−5.08919	−	1.23463i	−0.196613	−	0.0476977i
$671$	39.4780	+	34.2079i	1.52403	+	1.32058i
$672$	−2.44637	+	1.00760i	−0.0943708	+	0.0388692i
$673$	17.2012	+	19.8512i	0.663057	+	0.765209i	0.983273	−	0.182136i	$-0.0583010\pi$
$673$	17.2012	+	19.8512i	0.663057	+	0.765209i	−0.320216	+	0.947344i	$0.603756\pi$
$674$	−5.57683	+	13.9302i	−0.214811	+	0.536573i
$675$	−4.36873	+	1.05984i	−0.168153	+	0.0407934i
$676$	−9.63273	−	4.96602i	−0.370490	−	0.191001i
$677$	−38.3386	−	30.1498i	−1.47347	−	1.15875i	−0.952246	−	0.305332i	$-0.901232\pi$
$677$	−38.3386	−	30.1498i	−1.47347	−	1.15875i	−0.521226	−	0.853419i	$-0.674525\pi$
$678$	8.30292	−	18.1809i	0.318872	−	0.698232i
$679$	−15.9073	−	8.97518i	−0.610464	−	0.344436i
$680$	0.105862	−	0.736286i	0.00405962	−	0.0282353i
$681$	15.4868	−	0.737726i	0.593454	−	0.0282697i
$682$	−2.60541	−	10.7396i	−0.0997662	−	0.411242i
$683$	−36.3078	+	28.5528i	−1.38928	+	1.09254i	−0.405315	+	0.914177i	$0.632838\pi$
$683$	−36.3078	+	28.5528i	−1.38928	+	1.09254i	−0.983965	+	0.178364i	$0.942920\pi$
$684$	0.150274	−	0.0289630i	0.00574588	−	0.00110743i
$685$	1.92717	−	2.99874i	0.0736335	−	0.114576i
$686$	18.4649	−	1.43041i	0.704995	−	0.0546133i
$687$	4.50245	+	15.3339i	0.171779	+	0.585027i
$688$	−0.536780	+	5.62142i	−0.0204646	+	0.214314i
$689$	−5.63158	−	9.75418i	−0.214546	−	0.371605i
$690$	2.70149	+	2.07521i	0.102844	+	0.0790020i
$691$	12.1085	+	6.99082i	0.460627	+	0.265943i	0.712308	−	0.701867i	$-0.247650\pi$
$691$	12.1085	+	6.99082i	0.460627	+	0.265943i	−0.251681	+	0.967810i	$0.580983\pi$
$692$	−14.0933	+	6.43619i	−0.535746	+	0.244667i
$693$	−16.8382	+	3.41860i	−0.639631	+	0.129862i
$694$	19.3214	−	22.2981i	0.733430	−	0.846424i
$695$	3.51294	+	6.81416i	0.133254	+	0.258476i
$696$	−1.61903	−	0.560352i	−0.0613692	−	0.0212401i
$697$	−1.08603	−	1.38100i	−0.0411362	−	0.0523089i
$698$	15.0190	+	15.7515i	0.568478	+	0.596203i
$699$	−12.1631	−	18.9262i	−0.460051	−	0.715853i
$700$	−8.12204	+	8.68885i	−0.306984	+	0.328408i
$701$	22.2485	+	10.1606i	0.840315	+	0.383759i	0.788603	−	0.614903i	$-0.210805\pi$
$701$	22.2485	+	10.1606i	0.840315	+	0.383759i	0.0517123	+	0.998662i	$0.483532\pi$
$702$	0.853004	+	1.19788i	0.0321945	+	0.0452109i
$703$	−0.240331	−	0.600319i	−0.00906427	−	0.0226415i
$704$	2.97576	−	5.77218i	0.112153	−	0.217547i
$705$	−6.14551	+	5.85973i	−0.231453	+	0.220690i
$706$	−15.7623	+	2.26627i	−0.593221	+	0.0852923i
$707$	15.8064	−	35.5386i	0.594462	−	1.33657i
$708$	−10.6924	−	6.87162i	−0.401847	−	0.258251i
$709$	24.0795	−	8.33401i	0.904326	−	0.312990i	0.164965	−	0.986299i	$-0.447249\pi$
$709$	24.0795	−	8.33401i	0.904326	−	0.312990i	0.739361	+	0.673309i	$0.235128\pi$
$710$	5.51464	+	5.25820i	0.206961	+	0.197337i
$711$	−0.661361	−	0.470953i	−0.0248030	−	0.0176621i
$712$	2.69662	−	4.67068i	0.101060	−	0.175041i
$713$	0.295635	−	8.15583i	0.0110716	−	0.305438i
$714$	1.17589	+	2.50879i	0.0440066	+	0.0938889i
$715$	−2.81794	−	6.17042i	−0.105385	−	0.230761i
$716$	5.21996	−	21.5170i	0.195079	−	0.804127i
$717$	−4.42577	+	22.9631i	−0.165283	+	0.857571i
$718$	19.3730	+	0.922851i	0.722995	+	0.0344405i
$719$	−2.74531	−	14.2440i	−0.102383	−	0.531213i	−0.996515	−	0.0834104i	$-0.973419\pi$
$719$	−2.74531	−	14.2440i	−0.102383	−	0.531213i	0.894132	−	0.447803i	$-0.147793\pi$
$720$	−0.101088	−	0.703084i	−0.00376734	−	0.0262024i
$721$	4.17508	+	5.20217i	0.155488	+	0.193739i
$722$	15.9641	−	10.2595i	0.594123	−	0.381820i
$723$	6.49361	−	8.25729i	0.241500	−	0.307092i
$724$	−14.9856	+	1.43095i	−0.556935	+	0.0531808i
$725$	−7.66700	+	0.732109i	−0.284745	+	0.0271899i
$726$	19.2700	−	24.5038i	0.715176	−	0.909421i
$727$	−43.0245	+	27.6502i	−1.59569	+	1.02549i	−0.626422	+	0.779484i	$0.715481\pi$
$727$	−43.0245	+	27.6502i	−1.59569	+	1.02549i	−0.969269	+	0.246004i	$0.920882\pi$
$728$	3.62616	+	1.41019i	0.134394	+	0.0522651i
$729$	0.142315	+	0.989821i	0.00527092	+	0.0366601i
$730$	−0.515187	−	2.67304i	−0.0190679	−	0.0989337i
$731$	5.90695	+	0.281383i	0.218476	+	0.0104073i
$732$	1.52229	−	7.89840i	0.0562655	−	0.291933i
$733$	−3.83975	+	15.8276i	−0.141824	+	0.584607i	0.855898	+	0.517145i	$0.173005\pi$
$733$	−3.83975	+	15.8276i	−0.141824	+	0.584607i	−0.997722	+	0.0674621i	$0.978510\pi$
$734$	12.0728	+	26.4357i	0.445614	+	0.975758i
$735$	−0.844108	+	4.90003i	−0.0311354	+	0.180740i
$736$	3.26983	−	3.50830i	0.120528	−	0.129318i
$737$	−23.9389	+	41.4634i	−0.881802	+	1.52733i
$738$	−1.36657	−	0.973133i	−0.0503043	−	0.0358215i
$739$	22.4730	+	21.4279i	0.826681	+	0.788239i	0.979802	−	0.199969i	$-0.0640841\pi$
$739$	22.4730	+	21.4279i	0.826681	+	0.788239i	−0.153121	+	0.988207i	$0.548933\pi$
$740$	−2.83622	+	0.981626i	−0.104262	+	0.0360853i
$741$	−0.189327	−	0.121673i	−0.00695509	−	0.00446976i
$742$	−11.9173	−	16.3895i	−0.437497	−	0.601677i
$743$	−9.81652	+	1.41140i	−0.360133	+	0.0517794i	−0.320007	−	0.947415i	$-0.603685\pi$
$743$	−9.81652	+	1.41140i	−0.360133	+	0.0517794i	−0.0401265	+	0.999195i	$0.512776\pi$
$744$	−1.23160	+	1.17432i	−0.0451525	+	0.0430528i
$745$	−1.40883	+	2.73275i	−0.0516156	+	0.100120i
$746$	−5.41732	−	13.5318i	−0.198342	−	0.495435i
$747$	1.54425	+	2.16860i	0.0565012	+	0.0793448i
$748$	−6.18618	−	2.82514i	−0.226189	−	0.103297i
$749$	−14.5441	−	13.5953i	−0.531430	−	0.496763i
$750$	−3.64649	−	5.67405i	−0.133151	−	0.207187i
$751$	10.6390	+	11.1579i	0.388223	+	0.407157i	0.888623	−	0.458637i	$-0.151662\pi$
$751$	10.6390	+	11.1579i	0.388223	+	0.407157i	−0.500400	+	0.865794i	$0.666814\pi$
$752$	7.38973	+	9.39681i	0.269476	+	0.342666i
$753$	−24.5395	−	8.49319i	−0.894268	−	0.309509i
$754$	1.15447	+	2.23936i	0.0420434	+	0.0815528i
$755$	0.0600529	−	0.0693047i	0.00218555	−	0.00252226i
$756$	1.75232	+	1.98227i	0.0637311	+	0.0720944i
$757$	−20.0039	+	9.13548i	−0.727055	+	0.332035i	−0.744326	−	0.667816i	$-0.767229\pi$
$757$	−20.0039	+	9.13548i	−0.727055	+	0.332035i	0.0172715	+	0.999851i	$0.494502\pi$
$758$	18.8525	+	10.8845i	0.684755	+	0.395343i
$759$	25.1626	−	18.3528i	0.913345	−	0.666166i
$760$	0.0543532	+	0.0941425i	0.00197160	+	0.00341491i
$761$	−0.684651	+	7.16999i	−0.0248186	+	0.259912i	0.974543	+	0.224199i	$0.0719764\pi$
$761$	−0.684651	+	7.16999i	−0.0248186	+	0.259912i	−0.999362	+	0.0357135i	$0.988630\pi$
$762$	−1.47973	−	5.03949i	−0.0536048	−	0.182561i
$763$	22.7015	+	6.42223i	0.821848	+	0.232500i
$764$	4.77927	−	7.43668i	0.172908	−	0.269050i
$765$	−0.730415	+	0.140776i	−0.0264082	+	0.00508976i
$766$	4.03738	−	3.17503i	0.145877	−	0.114719i
$767$	4.40655	+	18.1640i	0.159111	+	0.655865i
$768$	−0.998867	+	0.0475819i	−0.0360435	+	0.00171696i
$769$	6.41206	−	44.5969i	0.231225	−	1.60820i	−0.461593	−	0.887092i	$-0.652722\pi$
$769$	6.41206	−	44.5969i	0.231225	−	1.60820i	0.692818	−	0.721113i	$-0.256369\pi$
$770$	−6.20660	−	10.5084i	−0.223670	−	0.378697i
$771$	−6.11036	+	13.3798i	−0.220059	+	0.481862i
$772$	−1.04791	−	0.824087i	−0.0377152	−	0.0296596i
$773$	−27.8414	−	14.3532i	−1.00139	−	0.516250i	−0.122086	−	0.992520i	$-0.538958\pi$
$773$	−27.8414	−	14.3532i	−1.00139	−	0.516250i	−0.879299	+	0.476269i	$0.841989\pi$
$774$	5.48781	−	1.33133i	0.197255	−	0.0478536i
$775$	−2.84323	+	7.10203i	−0.102132	+	0.255113i
$776$	−4.52074	−	5.21721i	−0.162285	−	0.187287i
$777$	6.82309	−	8.85537i	0.244777	−	0.317685i
$778$	1.28647	+	1.11473i	0.0461221	+	0.0399650i
$779$	0.249510	+	0.0605305i	0.00893962	+	0.00216873i
$780$	−0.605901	+	0.850869i	−0.0216947	+	0.0304660i
$781$	60.3304	−	34.8318i	2.15879	−	1.24638i
$782$	−3.83274	−	3.24555i	−0.137059	−	0.116061i
$783$			1.71326i			0.0612268i
$784$	6.75419	+	1.83871i	0.241221	+	0.0656682i
$785$	3.73767	−	1.09748i	0.133403	−	0.0391707i
$786$	−6.37864	−	18.4299i	−0.227518	−	0.657371i
$787$	−0.204960	+	4.30265i	−0.00730605	+	0.153373i	0.992266	+	0.124128i	$0.0396133\pi$
$787$	−0.204960	+	4.30265i	−0.00730605	+	0.153373i	−0.999572	+	0.0292449i	$0.990690\pi$
$788$	2.08069	−	6.01175i	0.0741215	−	0.214160i
$789$	21.4155	+	8.57346i	0.762411	+	0.305223i
$790$	0.162478	−	0.553349i	0.00578071	−	0.0196873i
$791$	−46.7600	+	24.6957i	−1.66259	+	0.878077i
$792$	−6.42799	−	0.924205i	−0.228409	−	0.0328402i
$793$	−9.63542	+	6.86135i	−0.342164	+	0.243654i
$794$	3.67863	+	38.5244i	0.130550	+	1.36718i
$795$	5.05069	−	2.02199i	0.179130	−	0.0717126i
$796$	0.394403	+	8.27953i	0.0139792	+	0.293460i
$797$	−13.8073	−	4.05418i	−0.489079	−	0.143606i	0.0278896	−	0.999611i	$-0.491121\pi$
$797$	−13.8073	−	4.05418i	−0.489079	−	0.143606i	−0.516968	+	0.856005i	$0.672939\pi$
$798$	−0.361714	−	0.181965i	−0.0128045	−	0.00644149i
$799$	9.46117	−	8.19815i	0.334712	−	0.290030i
$800$	−3.99572	+	2.05994i	−0.141270	+	0.0728297i
$801$	−5.29578	−	1.02068i	−0.187117	−	0.0360639i
$802$	−6.21641	+	6.51958i	−0.219509	+	0.230215i
$803$	−24.7755	−	2.36577i	−0.874308	−	0.0834863i
$804$	7.37253			0.260009
$805$	−2.31068	−	8.71164i	−0.0814409	−	0.307045i
$806$	2.50247			0.0881459
$807$	27.8724	+	2.66149i	0.981155	+	0.0936889i
$808$	10.1448	−	10.6396i	0.356894	−	0.374300i
$809$	−33.2177	−	6.40219i	−1.16787	−	0.225089i	−0.431786	−	0.901976i	$-0.642116\pi$
$809$	−33.2177	−	6.40219i	−1.16787	−	0.225089i	−0.736087	+	0.676887i	$0.763329\pi$
$810$	−0.631353	+	0.325485i	−0.0221835	+	0.0114364i
$811$	−8.99217	+	7.79176i	−0.315758	+	0.273606i	−0.798291	−	0.602272i	$-0.794262\pi$
$811$	−8.99217	+	7.79176i	−0.315758	+	0.273606i	0.482533	+	0.875878i	$0.339717\pi$
$812$	2.48829	+	3.78882i	0.0873219	+	0.132962i
$813$	−26.0331	−	7.64400i	−0.913020	−	0.268087i
$814$	1.30562	+	27.4084i	0.0457620	+	0.960664i
$815$	−3.90348	+	1.56272i	−0.136733	+	0.0547397i
$816$	0.0995448	+	1.04248i	0.00348476	+	0.0364941i
$817$	−0.703968	+	0.501293i	−0.0246287	+	0.0175380i
$818$	−4.36231	−	0.627206i	−0.152525	−	0.0219297i
$819$	0.146629	−	3.88795i	0.00512364	−	0.135856i
$820$	0.335729	−	1.14339i	0.0117242	−	0.0399289i
$821$	−45.6450	−	18.2735i	−1.59302	−	0.637749i	−0.605586	−	0.795780i	$-0.707061\pi$
$821$	−45.6450	−	18.2735i	−1.59302	−	0.637749i	−0.987434	+	0.158031i	$0.949485\pi$
$822$	−1.64134	+	4.74235i	−0.0572484	+	0.165408i
$823$	1.18716	−	24.9215i	0.0413817	−	0.868709i	−0.878793	−	0.477202i	$-0.841651\pi$
$823$	1.18716	−	24.9215i	0.0413817	−	0.868709i	0.920175	−	0.391507i	$-0.128046\pi$
$824$	0.824592	+	2.38250i	0.0287260	+	0.0829984i
$825$	−28.0113	+	8.22487i	−0.975229	+	0.286353i
$826$	11.3128	+	31.6679i	0.393622	+	1.10187i
$827$		−	33.5535i		−	1.16677i	−0.812195	−	0.583386i	$-0.801728\pi$
$827$		−	33.5535i		−	1.16677i	0.812195	−	0.583386i	$-0.198272\pi$
$828$	−4.38481	−	1.94254i	−0.152383	−	0.0675080i
$829$	2.27009	−	1.31064i	0.0788435	−	0.0455203i	−0.460060	−	0.887888i	$-0.652172\pi$
$829$	2.27009	−	1.31064i	0.0788435	−	0.0455203i	0.538903	+	0.842368i	$0.318839\pi$
$830$	−1.09690	+	1.54039i	−0.0380741	+	0.0534675i
$831$	2.00844	+	0.487242i	0.0696719	+	0.0169022i
$832$	1.11137	+	0.963006i	0.0385298	+	0.0333862i
$833$	1.58680	−	7.15675i	0.0549795	−	0.247967i
$834$	−7.06788	−	8.15677i	−0.244741	−	0.282446i
$835$	1.19259	−	2.97894i	0.0412711	−	0.103090i
$836$	0.965839	−	0.234310i	0.0334042	−	0.00810378i
$837$	1.51255	+	0.779775i	0.0522815	+	0.0269530i
$838$	−9.46644	−	7.44449i	−0.327013	−	0.257166i
$839$	−4.15395	+	9.09588i	−0.143410	+	0.314025i	−0.967684	−	0.252167i	$-0.918857\pi$
$839$	−4.15395	+	9.09588i	−0.143410	+	0.314025i	0.824273	+	0.566192i	$0.191584\pi$
$840$	−0.923493	+	1.63676i	−0.0318635	+	0.0564736i
$841$	3.70940	−	25.7994i	0.127910	−	0.889636i
$842$	−5.08099	+	0.242037i	−0.175103	+	0.00834116i
$843$	3.79577	+	15.6464i	0.130733	+	0.538891i
$844$	−12.7019	+	9.98887i	−0.437217	+	0.343831i
$845$	−7.55890	+	1.45686i	−0.260034	+	0.0501175i
$846$	6.46304	−	10.0567i	0.222204	−	0.345756i
$847$	−79.9551	+	20.2374i	−2.74729	+	0.695366i
$848$	−2.15783	−	7.34889i	−0.0741001	−	0.252362i
$849$	1.36525	−	14.2975i	0.0468551	−	0.490689i
$850$	2.35387	+	4.07702i	0.0807371	+	0.139841i
$851$	−4.55322	+	19.7457i	−0.156082	+	0.676872i
$852$	−9.29005	−	5.36362i	−0.318272	−	0.183754i
$853$	−18.9837	+	8.66955i	−0.649988	+	0.296840i	−0.712990	−	0.701174i	$-0.752660\pi$
$853$	−18.9837	+	8.66955i	−0.649988	+	0.296840i	0.0630023	+	0.998013i	$0.479932\pi$
$854$	−15.9449	+	14.0952i	−0.545623	+	0.482328i
$855$	0.0711875	−	0.0821548i	0.00243456	−	0.00280964i
$856$	−3.44809	−	6.68836i	−0.117853	−	0.228604i
$857$	−39.5621	−	13.6926i	−1.35142	−	0.467730i	−0.447058	−	0.894505i	$-0.647528\pi$
$857$	−39.5621	−	13.6926i	−1.35142	−	0.467730i	−0.904358	+	0.426775i	$0.859649\pi$
$858$	5.90335	+	7.50672i	0.201537	+	0.256275i
$859$	−32.7700	−	34.3682i	−1.11810	−	1.17263i	−0.983345	−	0.181749i	$-0.941824\pi$
$859$	−32.7700	−	34.3682i	−1.11810	−	1.17263i	−0.134753	−	0.990879i	$-0.543024\pi$
$860$	2.16858	+	3.37438i	0.0739481	+	0.115065i
$861$	1.29263	+	4.24626i	0.0440527	+	0.144712i
$862$	−1.00054	−	0.456930i	−0.0340784	−	0.0155631i
$863$	−17.1986	−	24.1520i	−0.585446	−	0.822144i	0.410522	−	0.911851i	$-0.365346\pi$
$863$	−17.1986	−	24.1520i	−0.585446	−	0.822144i	−0.995968	+	0.0897069i	$0.971407\pi$
$864$	0.371662	+	0.928368i	0.0126442	+	0.0315837i
$865$	−5.04286	+	9.78179i	−0.171463	+	0.332591i
$866$	−4.57155	+	4.35896i	−0.155348	+	0.148124i
$867$	−15.7415	+	2.26328i	−0.534608	+	0.0768650i
$868$	4.47749	−	0.472342i	0.151976	−	0.0160323i
$869$	−4.43560	−	2.85058i	−0.150467	−	0.0966995i
$870$	−1.15002	+	0.398026i	−0.0389893	+	0.0134943i
$871$	−7.84649	−	7.48162i	−0.265868	−	0.253505i
$872$	7.26365	+	5.17242i	0.245978	+	0.175160i
$873$	−3.45168	+	5.97848i	−0.116822	+	0.202341i
$874$	0.733471	+	0.0265871i	0.0248100	+	0.000899322i
$875$	−1.52025	+	17.7801i	−0.0513940	+	0.601076i
$876$	1.59205	+	3.48611i	0.0537905	+	0.117785i
$877$	3.05239	−	12.5821i	0.103072	−	0.424868i	−0.896773	−	0.442491i	$-0.854095\pi$
$877$	3.05239	−	12.5821i	0.103072	−	0.424868i	0.999845	+	0.0176231i	$0.00560989\pi$
$878$	4.92678	−	25.5626i	0.166271	−	0.862695i
$879$	9.36006	+	0.445875i	0.315707	+	0.0150390i
$880$	−0.872987	−	4.52948i	−0.0294284	−	0.152689i
$881$	7.37454	+	51.2910i	0.248454	+	1.72804i	0.607153	+	0.794585i	$0.292312\pi$
$881$	7.37454	+	51.2910i	0.248454	+	1.72804i	−0.358698	+	0.933454i	$0.616779\pi$
$882$	−0.471498	−	6.98410i	−0.0158761	−	0.235167i
$883$	24.9877	−	16.0586i	0.840902	−	0.540415i	−0.0478231	−	0.998856i	$-0.515228\pi$
$883$	24.9877	−	16.0586i	0.840902	−	0.540415i	0.888725	+	0.458441i	$0.151592\pi$
$884$	0.951961	−	1.21052i	0.0320179	−	0.0407141i
$885$	−8.98731	+	0.858184i	−0.302105	+	0.0288475i
$886$	−6.25750	+	0.597519i	−0.210225	+	0.0200740i
$887$	−12.7002	+	16.1496i	−0.426430	+	0.542250i	−0.951030	−	0.309099i	$-0.899973\pi$
$887$	−12.7002	+	16.1496i	−0.426430	+	0.542250i	0.524600	+	0.851349i	$0.324215\pi$
$888$	3.55455	−	2.28437i	0.119283	−	0.0766584i
$889$	−5.03665	+	12.9512i	−0.168924	+	0.434370i
$890$	−0.545193	−	3.79190i	−0.0182749	−	0.127105i
$891$	1.22901	+	6.37673i	0.0411735	+	0.213629i
$892$	6.52521	+	0.310834i	0.218480	+	0.0104075i
$893$	−0.346235	+	1.79644i	−0.0115863	+	0.0601156i
$894$	1.02046	−	4.20639i	0.0341293	−	0.140683i
$895$	−6.53329	−	14.3059i	−0.218384	−	0.478194i
$896$	2.17026	+	1.51327i	0.0725033	+	0.0505547i
$897$	2.69541	+	6.51711i	0.0899972	+	0.217600i
$898$	3.10725	−	5.38192i	0.103690	−	0.179597i
$899$	2.37489	+	1.69115i	0.0792070	+	0.0564031i
$900$	3.25351	+	3.10222i	0.108450	+	0.103407i
$901$	−7.57968	+	2.62335i	−0.252516	+	0.0873966i
$902$	−9.16530	−	5.89018i	−0.305171	−	0.196122i
$903$	−13.6512	−	6.07162i	−0.454283	−	0.202051i
$904$	−19.7836	+	2.84445i	−0.657993	+	0.0946051i
$905$	−7.73881	+	7.37894i	−0.257247	+	0.245284i
$906$	−0.0591581	+	0.114751i	−0.00196540	+	0.00381234i
$907$	−9.35457	−	23.3666i	−0.310613	−	0.775875i	−0.998735	−	0.0502797i	$-0.983989\pi$
$907$	−9.35457	−	23.3666i	−0.310613	−	0.775875i	0.688122	−	0.725595i	$-0.258436\pi$
$908$	−8.99340	−	12.6295i	−0.298456	−	0.419123i
$909$	−13.3725	−	6.10701i	−0.443537	−	0.202557i
$910$	2.64384	−	0.804828i	0.0876425	−	0.0266798i
$911$	−13.2378	−	20.5984i	−0.438587	−	0.682455i	0.549648	−	0.835396i	$-0.314762\pi$
$911$	−13.2378	−	20.5984i	−0.438587	−	0.682455i	−0.988235	+	0.152941i	$0.951125\pi$
$912$	−0.105610	−	0.110760i	−0.00349708	−	0.00366763i
$913$	10.6872	+	13.5899i	0.353696	+	0.449761i
$914$	35.3613	+	12.2387i	1.16965	+	0.404820i
$915$	−2.61812	−	5.07845i	−0.0865524	−	0.167888i
$916$	10.4655	−	12.0779i	0.345791	−	0.399064i
$917$	−16.3925	+	48.9256i	−0.541329	+	1.61566i
$918$	0.952587	−	0.435032i	0.0314400	−	0.0143582i
$919$	15.4196	+	8.90253i	0.508647	+	0.293667i	0.732277	−	0.681007i	$-0.238458\pi$
$919$	15.4196	+	8.90253i	0.508647	+	0.293667i	−0.223630	+	0.974674i	$0.571791\pi$
$920$	0.285245	−	3.39458i	0.00940423	−	0.111916i
$921$	13.9348	+	24.1357i	0.459166	+	0.795299i
$922$	−3.13429	+	32.8238i	−0.103222	+	1.08099i
$923$	4.44432	+	15.1360i	0.146286	+	0.498206i
$924$	11.9793	+	12.3170i	0.394091	+	0.405199i
$925$	10.2693	−	15.9793i	0.337652	−	0.525396i
$926$	−28.2138	+	5.43777i	−0.927163	+	0.178696i
$927$	1.98177	−	1.55848i	0.0650898	−	0.0511872i
$928$	0.403916	+	1.66496i	0.0132592	+	0.0546551i
$929$	1.17224	−	0.0558405i	0.0384598	−	0.00183207i	−0.0283432	−	0.999598i	$-0.509023\pi$
$929$	1.17224	−	0.0558405i	0.0384598	−	0.00183207i	0.0668030	+	0.997766i	$0.478720\pi$
$930$	−0.172024	+	1.19646i	−0.00564090	+	0.0392333i
$931$	0.464239	+	0.965464i	0.0152148	+	0.0316418i
$932$	−9.34583	+	20.4645i	−0.306133	+	0.670337i
$933$	−9.07962	−	7.14029i	−0.297253	−	0.233763i
$934$	−0.349715	−	0.180291i	−0.0114430	−	0.00589929i
$935$	−4.69450	+	1.13887i	−0.153527	+	0.0372452i
$936$	0.546549	−	1.36521i	0.0178645	−	0.0446234i
$937$	28.8532	+	33.2983i	0.942591	+	1.08781i	0.996010	+	0.0892363i	$0.0284426\pi$
$937$	28.8532	+	33.2983i	0.942591	+	1.08781i	−0.0534190	+	0.998572i	$0.517012\pi$
$938$	−15.4513	−	11.9053i	−0.504503	−	0.388721i
$939$	−14.5426	−	12.6012i	−0.474580	−	0.411226i
$940$	8.25203	+	2.00192i	0.269152	+	0.0652955i
$941$	−31.2166	+	43.8375i	−1.01763	+	1.42906i	−0.117690	+	0.993050i	$0.537549\pi$
$941$	−31.2166	+	43.8375i	−1.01763	+	1.42906i	−0.899941	+	0.436012i	$0.856390\pi$
$942$	−4.74941	+	2.74207i	−0.154744	+	0.0893415i
$943$	−5.33761	−	6.02027i	−0.173816	−	0.196047i
$944$			12.7101i			0.413680i
$945$	1.84879	+	0.337369i	0.0601410	+	0.0109746i
$946$	35.1866	−	10.3317i	1.14401	−	0.335913i
$947$	9.01734	+	26.0539i	0.293024	+	0.846638i	0.991395	+	0.130902i	$0.0417873\pi$
$947$	9.01734	+	26.0539i	0.293024	+	0.846638i	−0.698371	+	0.715736i	$0.746091\pi$
$948$	−0.0386321	+	0.810988i	−0.00125471	+	0.0263397i
$949$	1.84329	−	5.32583i	0.0598357	−	0.172884i
$950$	−0.638702	−	0.255698i	−0.0207222	−	0.00829593i
$951$	5.47603	−	18.6496i	0.177572	−	0.604756i
$952$	1.47479	−	2.34557i	0.0477982	−	0.0760205i
$953$	53.6621	+	7.71545i	1.73829	+	0.249928i	0.937243	−	0.348678i	$-0.113369\pi$
$953$	53.6621	+	7.71545i	1.73829	+	0.249928i	0.801044	+	0.598606i	$0.204278\pi$
$954$	−6.23895	+	4.44274i	−0.201993	+	0.143839i
$955$	−0.596874	−	6.25075i	−0.0193144	−	0.202269i
$956$	21.7105	−	8.69157i	0.702168	−	0.281106i
$957$	0.529399	+	11.1134i	0.0171130	+	0.359247i
$958$	−21.3721	−	6.27542i	−0.690502	−	0.202750i
$959$	11.0980	−	7.28853i	0.358372	−	0.235359i
$960$	−0.536820	+	0.465157i	−0.0173258	+	0.0150129i
$961$	−24.9800	+	12.8781i	−0.805805	+	0.415421i
$962$	−6.10123	−	1.17592i	−0.196712	−	0.0379131i
$963$	−5.19275	+	5.44600i	−0.167334	+	0.175495i
$964$	−10.4572	−	0.998540i	−0.336803	−	0.0321608i
$965$	−0.946943			−0.0304832
$966$	6.05281	+	11.1518i	0.194746	+	0.358805i
$967$	−6.75733			−0.217301			−0.108651	−	0.994080i	$-0.534653\pi$
$967$	−6.75733			−0.217301			−0.108651	+	0.994080i	$0.534653\pi$
$968$	−31.0320	−	2.96320i	−0.997408	−	0.0952409i
$969$	−0.110597	+	0.115990i	−0.00355288	+	0.00372615i
$970$	−4.81494	−	0.928004i	−0.154598	−	0.0297964i
$971$	28.7074	−	14.7997i	0.921264	−	0.474944i	0.0687410	−	0.997635i	$-0.478102\pi$
$971$	28.7074	−	14.7997i	0.921264	−	0.474944i	0.852523	+	0.522690i	$0.175071\pi$
$972$	0.755750	−	0.654861i	0.0242407	−	0.0210047i
$973$	1.64115	+	28.5083i	0.0526127	+	0.913933i
$974$	15.9246	+	4.67589i	0.510258	+	0.149825i
$975$	−0.314554	−	6.60331i	−0.0100738	−	0.211475i
$976$	−7.46757	+	2.98956i	−0.239031	+	0.0956936i
$977$	−2.62996	−	27.5422i	−0.0841398	−	0.881152i	−0.934738	−	0.355337i	$-0.884366\pi$
$977$	−2.62996	−	27.5422i	−0.0841398	−	0.881152i	0.850599	−	0.525816i	$-0.176240\pi$
$978$	4.82185	−	3.43362i	0.154186	−	0.109795i
$979$	−34.6677	−	4.98446i	−1.10798	−	0.159304i
$980$	4.57852	−	1.93905i	0.146256	−	0.0619405i
$981$	2.51224	−	8.55589i	0.0802095	−	0.273168i
$982$	3.18864	+	1.27654i	0.101754	+	0.0407360i
$983$	−0.961284	+	2.77745i	−0.0306602	+	0.0885869i	−0.959292	−	0.282415i	$-0.908864\pi$
$983$	−0.961284	+	2.77745i	−0.0306602	+	0.0885869i	0.928632	+	0.371002i	$0.120986\pi$
$984$	−0.0798258	+	1.67575i	−0.00254475	+	0.0534210i
$985$	−1.47794	−	4.27024i	−0.0470912	−	0.136061i
$986$	1.72149	−	0.505474i	0.0548233	−	0.0160976i
$987$	−29.7850	+	10.6401i	−0.948066	+	0.338680i
$988$			0.225053i			0.00715989i
$989$	27.0802	−	0.307846i	0.861102	−	0.00978894i
$990$	−3.99484	+	2.30642i	−0.126964	+	0.0733029i
$991$	1.21306	−	1.70351i	0.0385343	−	0.0541138i	−0.794859	−	0.606794i	$-0.792455\pi$
$991$	1.21306	−	1.70351i	0.0385343	−	0.0541138i	0.833394	+	0.552680i	$0.186395\pi$
$992$	1.65376	+	0.401197i	0.0525068	+	0.0127380i
$993$	8.63764	+	7.48456i	0.274107	+	0.237515i
$994$	10.8088	+	26.2428i	0.342834	+	0.832371i
$995$	3.85565	+	4.44965i	0.122232	+	0.141064i
$996$	0.989454	−	2.47154i	0.0313521	−	0.0783137i
$997$	−33.8847	+	8.22033i	−1.07314	+	0.260340i	−0.733134	−	0.680084i	$-0.761943\pi$
$997$	−33.8847	+	8.22033i	−1.07314	+	0.260340i	−0.340003	+	0.940424i	$0.610428\pi$
$998$	−22.8386	−	11.7741i	−0.722945	−	0.372704i
$999$	−3.32131	−	2.61191i	−0.105082	−	0.0826371i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.be.a.19.5	✓	320
7.3	odd	6	inner	966.2.be.a.157.5	yes	320
23.17	odd	22	inner	966.2.be.a.523.5	yes	320
161.17	even	66	inner	966.2.be.a.661.5	yes	320

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.be.a.19.5	✓	320	1.1	even	1	trivial
966.2.be.a.157.5	yes	320	7.3	odd	6	inner
966.2.be.a.523.5	yes	320	23.17	odd	22	inner
966.2.be.a.661.5	yes	320	161.17	even	66	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:	\( N \)	\(=\)	\( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	966.be (of order \(66\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(0.995472 + 0.0950560i) q^{2} +(-0.690079 + 0.723734i) q^{3} +(0.981929 + 0.189251i) q^{4} +(0.631353 - 0.325485i) q^{5} +(-0.755750 + 0.654861i) q^{6} +(2.64138 - 0.152057i) q^{7} +(0.959493 + 0.281733i) q^{8} +(-0.0475819 - 0.998867i) q^{9} +O(q^{10})\)	\(q+(0.995472 + 0.0950560i) q^{2} +(-0.690079 + 0.723734i) q^{3} +(0.981929 + 0.189251i) q^{4} +(0.631353 - 0.325485i) q^{5} +(-0.755750 + 0.654861i) q^{6} +(2.64138 - 0.152057i) q^{7} +(0.959493 + 0.281733i) q^{8} +(-0.0475819 - 0.998867i) q^{9} +(0.659433 - 0.263997i) q^{10} +(-0.617302 - 6.46468i) q^{11} +(-0.814576 + 0.580057i) q^{12} +(1.45558 + 0.209281i) q^{13} +(2.64387 + 0.0997104i) q^{14} +(-0.200119 + 0.681542i) q^{15} +(0.928368 + 0.371662i) q^{16} +(0.342513 - 0.989626i) q^{17} +(0.0475819 - 0.998867i) q^{18} +(0.0500544 + 0.144623i) q^{19} +(0.681542 - 0.200119i) q^{20} +(-1.71271 + 2.01659i) q^{21} -6.49409i q^{22} +(1.29875 - 4.61663i) q^{23} +(-0.866025 + 0.500000i) q^{24} +(-2.60762 + 3.66189i) q^{25} +(1.42910 + 0.346696i) q^{26} +(0.755750 + 0.654861i) q^{27} +(2.62242 + 0.350575i) q^{28} +(1.12195 + 1.29479i) q^{29} +(-0.263997 + 0.659433i) q^{30} +(1.65376 - 0.401197i) q^{31} +(0.888835 + 0.458227i) q^{32} +(5.10470 + 4.01438i) q^{33} +(0.435032 - 0.952587i) q^{34} +(1.61815 - 0.955730i) q^{35} +(0.142315 - 0.989821i) q^{36} +(-4.22051 + 0.201048i) q^{37} +(0.0360805 + 0.148726i) q^{38} +(-1.15593 + 0.909035i) q^{39} +(0.697478 - 0.134428i) q^{40} +(0.907006 - 1.41133i) q^{41} +(-1.89664 + 1.84465i) q^{42} +(1.59094 + 5.41824i) q^{43} +(0.617302 - 6.46468i) q^{44} +(-0.355157 - 0.615150i) q^{45} +(1.73171 - 4.47227i) q^{46} +(10.3528 + 5.97721i) q^{47} +(-0.909632 + 0.415415i) q^{48} +(6.95376 - 0.803280i) q^{49} +(-2.94390 + 3.39744i) q^{50} +(0.479865 + 0.930808i) q^{51} +(1.38967 + 0.480970i) q^{52} +(-4.73457 - 6.02049i) q^{53} +(0.690079 + 0.723734i) q^{54} +(-2.49389 - 3.88057i) q^{55} +(2.57722 + 0.598265i) q^{56} +(-0.139210 - 0.0635750i) q^{57} +(0.993787 + 1.39558i) q^{58} +(4.72388 + 11.7997i) q^{59} +(-0.325485 + 0.631353i) q^{60} +(-5.82154 + 5.55083i) q^{61} +(1.68440 - 0.242181i) q^{62} +(-0.277567 - 2.63115i) q^{63} +(0.841254 + 0.540641i) q^{64} +(0.987104 - 0.341640i) q^{65} +(4.69999 + 4.48143i) q^{66} +(-6.00548 - 4.27649i) q^{67} +(0.523611 - 0.906921i) q^{68} +(2.44497 + 4.12579i) q^{69} +(1.70167 - 0.797588i) q^{70} +(4.45625 + 9.75783i) q^{71} +(0.235759 - 0.971812i) q^{72} +(0.725294 - 3.76318i) q^{73} +(-4.22051 - 0.201048i) q^{74} +(-0.850770 - 4.41421i) q^{75} +(0.0217798 + 0.151482i) q^{76} +(-2.61353 - 16.9818i) q^{77} +(-1.23711 + 0.795040i) q^{78} +(0.501888 - 0.638203i) q^{79} +(0.707098 - 0.0675197i) q^{80} +(-0.995472 + 0.0950560i) q^{81} +(1.03705 - 1.31872i) q^{82} +(-2.23962 + 1.43932i) q^{83} +(-2.06340 + 1.65601i) q^{84} +(-0.105862 - 0.736286i) q^{85} +(1.06870 + 5.54494i) q^{86} +(-1.71132 - 0.0815201i) q^{87} +(1.22901 - 6.37673i) q^{88} +(1.27150 - 5.24121i) q^{89} +(-0.295075 - 0.646125i) q^{90} +(3.87657 + 0.331459i) q^{91} +(2.14898 - 4.28741i) q^{92} +(-0.850862 + 1.47374i) q^{93} +(9.73778 + 6.93424i) q^{94} +(0.0786745 + 0.0750160i) q^{95} +(-0.945001 + 0.327068i) q^{96} +(-5.80748 - 3.73224i) q^{97} +(6.99863 - 0.138647i) q^{98} +(-6.42799 + 0.924205i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 320 q - 16 q^{2} + 16 q^{4} + 32 q^{8} - 16 q^{9}+O(q^{10}) \) 320 * q - 16 * q^2 + 16 * q^4 + 32 * q^8 - 16 * q^9	\( 320 q - 16 q^{2} + 16 q^{4} + 32 q^{8} - 16 q^{9} - 22 q^{14} + 16 q^{16} + 66 q^{17} + 16 q^{18} + 40 q^{23} - 48 q^{25} + 12 q^{26} + 44 q^{28} - 24 q^{29} + 24 q^{31} - 16 q^{32} + 98 q^{35} + 32 q^{36} - 22 q^{37} - 66 q^{38} - 8 q^{39} - 88 q^{43} + 4 q^{46} - 144 q^{47} - 24 q^{49} + 80 q^{50} - 22 q^{51} + 12 q^{52} + 44 q^{53} + 44 q^{57} + 10 q^{58} + 12 q^{59} - 32 q^{64} + 108 q^{70} - 16 q^{71} + 16 q^{72} - 180 q^{73} - 22 q^{74} - 12 q^{75} + 18 q^{77} - 16 q^{78} + 44 q^{79} + 16 q^{81} + 36 q^{82} + 22 q^{84} + 68 q^{85} - 22 q^{86} + 48 q^{87} + 22 q^{88} + 8 q^{92} + 8 q^{93} - 12 q^{94} + 66 q^{95} - 90 q^{98}+O(q^{100}) \) 320 * q - 16 * q^2 + 16 * q^4 + 32 * q^8 - 16 * q^9 - 22 * q^14 + 16 * q^16 + 66 * q^17 + 16 * q^18 + 40 * q^23 - 48 * q^25 + 12 * q^26 + 44 * q^28 - 24 * q^29 + 24 * q^31 - 16 * q^32 + 98 * q^35 + 32 * q^36 - 22 * q^37 - 66 * q^38 - 8 * q^39 - 88 * q^43 + 4 * q^46 - 144 * q^47 - 24 * q^49 + 80 * q^50 - 22 * q^51 + 12 * q^52 + 44 * q^53 + 44 * q^57 + 10 * q^58 + 12 * q^59 - 32 * q^64 + 108 * q^70 - 16 * q^71 + 16 * q^72 - 180 * q^73 - 22 * q^74 - 12 * q^75 + 18 * q^77 - 16 * q^78 + 44 * q^79 + 16 * q^81 + 36 * q^82 + 22 * q^84 + 68 * q^85 - 22 * q^86 + 48 * q^87 + 22 * q^88 + 8 * q^92 + 8 * q^93 - 12 * q^94 + 66 * q^95 - 90 * q^98

Introduction

L-functions

Modular forms

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