LMFDB - Embedded newform 552.2.bb.a.469.21

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [552,2,Mod(13,552)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(552, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([0, 11, 0, 14]))

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

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

chi := DirichletCharacter("552.13");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 552 = 2^{3} \cdot 3 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	552.bb (of order $22$, degree $10$, 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:	$4.40774219157$
Analytic rank:	$0$
Dimension:	$480$
Relative dimension:	$48$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			469.21
Character	$\chi$	$=$	552.469
Dual form			552.2.bb.a.133.21

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.351397 - 1.36986i) q^{2} +(0.755750 - 0.654861i) q^{3} +(-1.75304 + 0.962732i) q^{4} +(-0.195405 + 0.0280950i) q^{5} +(-1.16264 - 0.805156i) q^{6} +(-0.184716 + 0.404472i) q^{7} +(1.93482 + 2.06312i) q^{8} +(0.142315 - 0.989821i) q^{9} +O(q^{10})$	\(q+(-0.351397 - 1.36986i) q^{2} +(0.755750 - 0.654861i) q^{3} +(-1.75304 + 0.962732i) q^{4} +(-0.195405 + 0.0280950i) q^{5} +(-1.16264 - 0.805156i) q^{6} +(-0.184716 + 0.404472i) q^{7} +(1.93482 + 2.06312i) q^{8} +(0.142315 - 0.989821i) q^{9} +(0.107151 + 0.257806i) q^{10} +(1.13127 - 3.85274i) q^{11} +(-0.694404 + 1.87558i) q^{12} +(3.47679 - 1.58780i) q^{13} +(0.618980 + 0.110905i) q^{14} +(-0.129279 + 0.149196i) q^{15} +(2.14630 - 3.37541i) q^{16} +(-5.85643 - 3.76370i) q^{17} +(-1.40593 + 0.152869i) q^{18} +(-0.936892 - 1.45783i) q^{19} +(0.315505 - 0.237374i) q^{20} +(0.125274 + 0.426643i) q^{21} +(-5.67525 - 0.195835i) q^{22} +(2.94480 - 3.78525i) q^{23} +(2.81330 + 0.292163i) q^{24} +(-4.76007 + 1.39768i) q^{25} +(-3.39680 - 4.20478i) q^{26} +(-0.540641 - 0.841254i) q^{27} +(-0.0655832 - 0.886888i) q^{28} +(1.09789 - 1.70835i) q^{29} +(0.249806 + 0.124667i) q^{30} +(-1.09599 + 1.26484i) q^{31} +(-5.37805 - 1.75402i) q^{32} +(-1.66805 - 3.65253i) q^{33} +(-3.09781 + 9.34506i) q^{34} +(0.0247309 - 0.0842256i) q^{35} +(0.703449 + 1.87221i) q^{36} +(1.63836 + 0.235561i) q^{37} +(-1.66781 + 1.79569i) q^{38} +(1.58780 - 3.47679i) q^{39} +(-0.436038 - 0.348786i) q^{40} +(-0.224561 - 1.56185i) q^{41} +(0.540421 - 0.321529i) q^{42} +(-1.44117 + 1.24878i) q^{43} +(1.72600 + 7.84312i) q^{44} +0.197415i q^{45} +(-6.22007 - 2.70384i) q^{46} +6.84271 q^{47} +(-0.588363 - 3.95649i) q^{48} +(4.45455 + 5.14082i) q^{49} +(3.58731 + 6.02949i) q^{50} +(-6.89070 + 0.990733i) q^{51} +(-4.56633 + 6.13069i) q^{52} +(3.92286 + 1.79151i) q^{53} +(-0.962421 + 1.03622i) q^{54} +(-0.112813 + 0.784629i) q^{55} +(-1.19187 + 0.401490i) q^{56} +(-1.66273 - 0.488222i) q^{57} +(-2.72600 - 0.903646i) q^{58} +(10.5513 - 4.81861i) q^{59} +(0.0829957 - 0.386008i) q^{60} +(-6.00798 - 5.20595i) q^{61} +(2.11779 + 1.05690i) q^{62} +(0.374067 + 0.240399i) q^{63} +(-0.512926 + 7.98354i) q^{64} +(-0.634774 + 0.407945i) q^{65} +(-4.41731 + 3.56849i) q^{66} +(-2.42300 - 8.25199i) q^{67} +(13.8900 + 0.959744i) q^{68} +(-0.253282 - 4.78914i) q^{69} +(-0.124068 - 0.00428120i) q^{70} +(-4.95443 + 1.45475i) q^{71} +(2.31747 - 1.62152i) q^{72} +(-10.6858 + 6.86732i) q^{73} +(-0.253031 - 2.32711i) q^{74} +(-2.68213 + 4.17348i) q^{75} +(3.04591 + 1.65366i) q^{76} +(1.34936 + 1.16923i) q^{77} +(-5.32067 - 0.953327i) q^{78} +(6.34655 + 13.8970i) q^{79} +(-0.324565 + 0.719874i) q^{80} +(-0.959493 - 0.281733i) q^{81} +(-2.06061 + 0.856449i) q^{82} +(12.6615 + 1.82044i) q^{83} +(-0.630353 - 0.627318i) q^{84} +(1.25012 + 0.570910i) q^{85} +(2.21708 + 1.53538i) q^{86} +(-0.289001 - 2.01005i) q^{87} +(10.1375 - 5.12043i) q^{88} +(-5.55657 - 6.41263i) q^{89} +(0.270431 - 0.0693710i) q^{90} +1.69956i q^{91} +(-1.51817 + 9.47075i) q^{92} +1.67363i q^{93} +(-2.40451 - 9.37356i) q^{94} +(0.224031 + 0.258546i) q^{95} +(-5.21310 + 2.19628i) q^{96} +(0.0567281 + 0.394553i) q^{97} +(5.47690 - 7.90858i) q^{98} +(-3.65253 - 1.66805i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 480 q + 4 q^{2} + 4 q^{6} + 8 q^{7} + 4 q^{8} + 48 q^{9}+O(q^{10}) $ 480 * q + 4 * q^2 + 4 * q^6 + 8 * q^7 + 4 * q^8 + 48 * q^9	$ 480 q + 4 q^{2} + 4 q^{6} + 8 q^{7} + 4 q^{8} + 48 q^{9} - 4 q^{10} - 4 q^{14} - 8 q^{15} - 8 q^{16} - 4 q^{18} + 20 q^{20} + 20 q^{22} - 8 q^{23} - 4 q^{24} + 48 q^{25} + 16 q^{30} + 16 q^{31} + 4 q^{32} + 6 q^{34} - 22 q^{36} + 90 q^{38} - 74 q^{40} + 90 q^{42} - 130 q^{44} + 96 q^{46} - 88 q^{48} - 48 q^{49} + 142 q^{50} - 142 q^{52} + 18 q^{54} - 82 q^{56} + 22 q^{58} + 2 q^{60} - 40 q^{62} - 8 q^{63} + 16 q^{66} - 44 q^{68} + 16 q^{71} - 4 q^{72} + 10 q^{74} - 138 q^{76} - 40 q^{79} - 170 q^{80} - 48 q^{81} - 124 q^{82} - 8 q^{84} - 216 q^{86} - 108 q^{88} + 4 q^{90} - 198 q^{92} - 238 q^{94} + 80 q^{95} + 4 q^{96} - 132 q^{98}+O(q^{100}) $ 480 * q + 4 * q^2 + 4 * q^6 + 8 * q^7 + 4 * q^8 + 48 * q^9 - 4 * q^10 - 4 * q^14 - 8 * q^15 - 8 * q^16 - 4 * q^18 + 20 * q^20 + 20 * q^22 - 8 * q^23 - 4 * q^24 + 48 * q^25 + 16 * q^30 + 16 * q^31 + 4 * q^32 + 6 * q^34 - 22 * q^36 + 90 * q^38 - 74 * q^40 + 90 * q^42 - 130 * q^44 + 96 * q^46 - 88 * q^48 - 48 * q^49 + 142 * q^50 - 142 * q^52 + 18 * q^54 - 82 * q^56 + 22 * q^58 + 2 * q^60 - 40 * q^62 - 8 * q^63 + 16 * q^66 - 44 * q^68 + 16 * q^71 - 4 * q^72 + 10 * q^74 - 138 * q^76 - 40 * q^79 - 170 * q^80 - 48 * q^81 - 124 * q^82 - 8 * q^84 - 216 * q^86 - 108 * q^88 + 4 * q^90 - 198 * q^92 - 238 * q^94 + 80 * q^95 + 4 * q^96 - 132 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/552\mathbb{Z}\right)^\times$.

$n$	$97$	$185$	$277$	$415$
$\chi(n)$	$e\left(\frac{5}{11}\right)$	$1$	$-1$	$1$

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 $

$2$	−0.351397	−	1.36986i	−0.248476	−	0.968638i
$2$	−0.351397	−	1.36986i	−0.248476	−	0.968638i
$3$	0.755750	−	0.654861i	0.436332	−	0.378084i
$3$	0.755750	−	0.654861i	0.436332	−	0.378084i
$4$	−1.75304	+	0.962732i	−0.876520	+	0.481366i
$5$	−0.195405	+	0.0280950i	−0.0873879	+	0.0125645i	−0.185870	−	0.982574i	$-0.559510\pi$
$5$	−0.195405	+	0.0280950i	−0.0873879	+	0.0125645i	0.0984822	+	0.995139i	$0.468601\pi$
$6$	−1.16264	−	0.805156i	−0.474644	−	0.328703i
$7$	−0.184716	+	0.404472i	−0.0698162	+	0.152876i	−0.941323	−	0.337508i	$-0.890416\pi$
$7$	−0.184716	+	0.404472i	−0.0698162	+	0.152876i	0.871507	+	0.490384i	$0.163143\pi$
$8$	1.93482	+	2.06312i	0.684063	+	0.729423i
$9$	0.142315	−	0.989821i	0.0474383	−	0.329940i
$10$	0.107151	+	0.257806i	0.0338842	+	0.0815253i
$11$	1.13127	−	3.85274i	0.341090	−	1.16165i	−0.593177	−	0.805072i	$-0.702127\pi$
$11$	1.13127	−	3.85274i	0.341090	−	1.16165i	0.934267	−	0.356574i	$-0.116055\pi$
$12$	−0.694404	+	1.87558i	−0.200457	+	0.541434i
$13$	3.47679	−	1.58780i	0.964289	−	0.440376i	0.129885	−	0.991529i	$-0.458539\pi$
$13$	3.47679	−	1.58780i	0.964289	−	0.440376i	0.834404	+	0.551153i	$0.185812\pi$
$14$	0.618980	+	0.110905i	0.165429	+	0.0296407i
$15$	−0.129279	+	0.149196i	−0.0333797	+	0.0385223i
$16$	2.14630	−	3.37541i	0.536574	−	0.843853i
$17$	−5.85643	−	3.76370i	−1.42039	−	0.912832i	−0.999985	−	0.00549682i	$-0.998250\pi$
$17$	−5.85643	−	3.76370i	−1.42039	−	0.912832i	−0.420409	−	0.907335i	$-0.638113\pi$
$18$	−1.40593	+	0.152869i	−0.331380	+	0.0360316i
$19$	−0.936892	−	1.45783i	−0.214938	−	0.334450i	0.716997	−	0.697077i	$-0.245516\pi$
$19$	−0.936892	−	1.45783i	−0.214938	−	0.334450i	−0.931934	+	0.362627i	$0.881880\pi$
$20$	0.315505	−	0.237374i	0.0705491	−	0.0530786i
$21$	0.125274	+	0.426643i	0.0273370	+	0.0931012i
$22$	−5.67525	−	0.195835i	−1.20997	−	0.0417522i
$23$	2.94480	−	3.78525i	0.614033	−	0.789280i
$23$	2.94480	−	3.78525i	0.614033	−	0.789280i
$24$	2.81330	+	0.292163i	0.574262	+	0.0596375i
$25$	−4.76007	+	1.39768i	−0.952014	+	0.279537i
$26$	−3.39680	−	4.20478i	−0.666167	−	0.824624i
$27$	−0.540641	−	0.841254i	−0.104046	−	0.161899i
$28$	−0.0655832	−	0.886888i	−0.0123941	−	0.167606i
$29$	1.09789	−	1.70835i	0.203873	−	0.317232i	−0.724228	−	0.689560i	$-0.757804\pi$
$29$	1.09789	−	1.70835i	0.203873	−	0.317232i	0.928101	+	0.372328i	$0.121440\pi$
$30$	0.249806	+	0.124667i	0.0456082	+	0.0227610i
$31$	−1.09599	+	1.26484i	−0.196846	+	0.227173i	−0.845588	−	0.533836i	$-0.820750\pi$
$31$	−1.09599	+	1.26484i	−0.196846	+	0.227173i	0.648742	+	0.761008i	$0.275295\pi$
$32$	−5.37805	−	1.75402i	−0.950714	−	0.310069i
$33$	−1.66805	−	3.65253i	−0.290371	−	0.635824i
$34$	−3.09781	+	9.34506i	−0.531270	+	1.60266i
$35$	0.0247309	−	0.0842256i	0.00418028	−	0.0142367i
$36$	0.703449	+	1.87221i	0.117241	+	0.312035i
$37$	1.63836	+	0.235561i	0.269345	+	0.0387260i	0.275664	−	0.961254i	$-0.411102\pi$
$37$	1.63836	+	0.235561i	0.269345	+	0.0387260i	−0.00631874	+	0.999980i	$0.502011\pi$
$38$	−1.66781	+	1.79569i	−0.270554	+	0.291299i
$39$	1.58780	−	3.47679i	0.254251	−	0.556732i
$40$	−0.436038	−	0.348786i	−0.0689436	−	0.0551478i
$41$	−0.224561	−	1.56185i	−0.0350705	−	0.243921i	0.964744	−	0.263191i	$-0.0847749\pi$
$41$	−0.224561	−	1.56185i	−0.0350705	−	0.243921i	−0.999814	+	0.0192701i	$0.993866\pi$
$42$	0.540421	−	0.321529i	0.0833888	−	0.0496130i
$43$	−1.44117	+	1.24878i	−0.219776	+	0.190437i	−0.757789	−	0.652499i	$-0.773721\pi$
$43$	−1.44117	+	1.24878i	−0.219776	+	0.190437i	0.538013	+	0.842937i	$0.319175\pi$
$44$	1.72600	+	7.84312i	0.260204	+	1.18239i
$45$			0.197415i			0.0294288i
$46$	−6.22007	−	2.70384i	−0.917099	−	0.398659i
$47$	6.84271			0.998112			0.499056	−	0.866570i	$-0.333680\pi$
$47$	6.84271			0.998112			0.499056	+	0.866570i	$0.333680\pi$
$48$	−0.588363	−	3.95649i	−0.0849229	−	0.571070i
$49$	4.45455	+	5.14082i	0.636364	+	0.734403i
$50$	3.58731	+	6.02949i	0.507322	+	0.852699i
$51$	−6.89070	+	0.990733i	−0.964891	+	0.138730i
$52$	−4.56633	+	6.13069i	−0.633236	+	0.850174i
$53$	3.92286	+	1.79151i	0.538846	+	0.246083i	0.666198	−	0.745775i	$-0.267920\pi$
$53$	3.92286	+	1.79151i	0.538846	+	0.246083i	−0.127352	+	0.991858i	$0.540648\pi$
$54$	−0.962421	+	1.03622i	−0.130969	+	0.141011i
$55$	−0.112813	+	0.784629i	−0.0152117	+	0.105799i
$56$	−1.19187	+	0.401490i	−0.159270	+	0.0536514i
$57$	−1.66273	−	0.488222i	−0.220234	−	0.0646666i
$58$	−2.72600	−	0.903646i	−0.357941	−	0.118655i
$59$	10.5513	−	4.81861i	1.37366	−	0.627330i	0.414464	−	0.910066i	$-0.363969\pi$
$59$	10.5513	−	4.81861i	1.37366	−	0.627330i	0.959198	+	0.282736i	$0.0912419\pi$
$60$	0.0829957	−	0.386008i	0.0107147	−	0.0498334i
$61$	−6.00798	−	5.20595i	−0.769243	−	0.666553i	0.179089	−	0.983833i	$-0.442685\pi$
$61$	−6.00798	−	5.20595i	−0.769243	−	0.666553i	−0.948332	+	0.317280i	$0.897231\pi$
$62$	2.11779	+	1.05690i	0.268959	+	0.134226i
$63$	0.374067	+	0.240399i	0.0471281	+	0.0302874i
$64$	−0.512926	+	7.98354i	−0.0641157	+	0.997942i
$65$	−0.634774	+	0.407945i	−0.0787341	+	0.0505993i
$66$	−4.41731	+	3.56849i	−0.543733	+	0.439251i
$67$	−2.42300	−	8.25199i	−0.296017	−	1.00814i	−0.964427	−	0.264348i	$-0.914843\pi$
$67$	−2.42300	−	8.25199i	−0.296017	−	1.00814i	0.668410	−	0.743793i	$-0.266975\pi$
$68$	13.8900	+	0.959744i	1.68441	+	0.116386i
$69$	−0.253282	−	4.78914i	−0.0304916	−	0.576545i
$70$	−0.124068	−	0.00428120i	−0.0148289	−	0.000511701i
$71$	−4.95443	+	1.45475i	−0.587983	+	0.172647i	−0.562173	−	0.827020i	$-0.690035\pi$
$71$	−4.95443	+	1.45475i	−0.587983	+	0.172647i	−0.0258096	+	0.999667i	$0.508216\pi$
$72$	2.31747	−	1.62152i	0.273117	−	0.191097i
$73$	−10.6858	+	6.86732i	−1.25067	+	0.803759i	−0.986979	−	0.160848i	$-0.948577\pi$
$73$	−10.6858	+	6.86732i	−1.25067	+	0.803759i	−0.263694	+	0.964606i	$0.584941\pi$
$74$	−0.253031	−	2.32711i	−0.0294142	−	0.270521i
$75$	−2.68213	+	4.17348i	−0.309706	+	0.481912i
$76$	3.04591	+	1.65366i	0.349390	+	0.189688i
$77$	1.34936	+	1.16923i	0.153774	+	0.133246i
$78$	−5.32067	−	0.953327i	−0.602447	−	0.107943i
$79$	6.34655	+	13.8970i	0.714042	+	1.56353i	0.822070	+	0.569387i	$0.192819\pi$
$79$	6.34655	+	13.8970i	0.714042	+	1.56353i	−0.108027	+	0.994148i	$0.534453\pi$
$80$	−0.324565	+	0.719874i	−0.0362875	+	0.0804843i
$81$	−0.959493	−	0.281733i	−0.106610	−	0.0313036i
$82$	−2.06061	+	0.856449i	−0.227557	+	0.0945789i
$83$	12.6615	+	1.82044i	1.38978	+	0.199819i	0.796236	−	0.604986i	$-0.206821\pi$
$83$	12.6615	+	1.82044i	1.38978	+	0.199819i	0.593539	+	0.804805i	$0.297730\pi$
$84$	−0.630353	−	0.627318i	−0.0687771	−	0.0684460i
$85$	1.25012	+	0.570910i	0.135594	+	0.0619239i
$86$	2.21708	+	1.53538i	0.239074	+	0.165565i
$87$	−0.289001	−	2.01005i	−0.0309842	−	0.215500i
$88$	10.1375	−	5.12043i	1.08066	−	0.545840i
$89$	−5.55657	−	6.41263i	−0.588996	−	0.679737i	0.380518	−	0.924773i	$-0.375746\pi$
$89$	−5.55657	−	6.41263i	−0.588996	−	0.679737i	−0.969514	+	0.245036i	$0.921200\pi$
$90$	0.270431	−	0.0693710i	0.0285059	−	0.00731235i
$91$			1.69956i			0.178162i
$92$	−1.51817	+	9.47075i	−0.158280	+	0.987394i
$93$			1.67363i			0.173547i
$94$	−2.40451	−	9.37356i	−0.248006	−	0.966809i
$95$	0.224031	+	0.258546i	0.0229851	+	0.0265263i
$96$	−5.21310	+	2.19628i	−0.532059	+	0.224157i
$97$	0.0567281	+	0.394553i	0.00575987	+	0.0400607i	0.992499	−	0.122255i	$-0.0390127\pi$
$97$	0.0567281	+	0.394553i	0.00575987	+	0.0400607i	−0.986739	+	0.162316i	$0.948104\pi$
$98$	5.47690	−	7.90858i	0.553250	−	0.798888i
$99$	−3.65253	−	1.66805i	−0.367093	−	0.167646i
$100$	6.99900	−	7.03286i	0.699900	−	0.703286i
$101$	−5.52982	−	0.795069i	−0.550238	−	0.0791123i	−0.138412	−	0.990375i	$-0.544200\pi$
$101$	−5.52982	−	0.795069i	−0.550238	−	0.0791123i	−0.411826	+	0.911262i	$0.635109\pi$
$102$	3.77854	+	9.09116i	0.374131	+	0.900159i
$103$	13.1328	+	3.85615i	1.29402	+	0.379957i	0.855050	−	0.518546i	$-0.173527\pi$
$103$	13.1328	+	3.85615i	1.29402	+	0.379957i	0.438966	+	0.898504i	$0.355345\pi$
$104$	10.0028	+	4.10093i	0.980855	+	0.402129i
$105$	−0.0364657	−	0.0798488i	−0.00355869	−	0.00779244i
$106$	1.07564	−	6.00331i	0.104475	−	0.583093i
$107$	−7.00964	−	6.07389i	−0.677647	−	0.587185i	0.246536	−	0.969134i	$-0.420708\pi$
$107$	−7.00964	−	6.07389i	−0.677647	−	0.587185i	−0.924183	+	0.381949i	$0.875253\pi$
$108$	1.75767	+	0.954259i	0.169131	+	0.0918236i
$109$	−1.67325	+	2.60363i	−0.160268	+	0.249383i	−0.912096	−	0.409978i	$-0.865536\pi$
$109$	−1.67325	+	2.60363i	−0.160268	+	0.249383i	0.751827	+	0.659360i	$0.229173\pi$
$110$	1.11447	−	0.121179i	0.106261	−	0.0115540i
$111$	1.39245	−	0.894875i	0.132166	−	0.0849378i
$112$	0.968805	+	1.49161i	0.0915435	+	0.140944i
$113$	−10.5109	+	3.08629i	−0.988785	+	0.290333i	−0.735846	−	0.677149i	$-0.763215\pi$
$113$	−10.5109	+	3.08629i	−0.988785	+	0.290333i	−0.252939	+	0.967482i	$0.581397\pi$
$114$	−0.0845169	+	2.44927i	−0.00791573	+	0.229395i
$115$	−0.469083	+	0.822393i	−0.0437422	+	0.0766885i
$116$	−0.279962	+	4.05177i	−0.0259938	+	0.376198i
$117$	−1.07684	−	3.66737i	−0.0995536	−	0.339049i
$118$	−10.3085	−	12.7606i	−0.948977	−	1.17470i
$119$	2.60409	−	1.67355i	0.238717	−	0.153414i
$120$	−0.557941	+	0.0219496i	−0.0509328	+	0.00200371i
$121$	−4.31007	−	2.76991i	−0.391824	−	0.251810i
$122$	−5.02023	+	10.0595i	−0.454511	+	0.910740i
$123$	−1.19251	−	1.03331i	−0.107525	−	0.0931709i
$124$	0.703614	−	3.27247i	0.0631864	−	0.293876i
$125$	1.78875	−	0.816894i	0.159991	−	0.0730652i
$126$	0.197866	−	0.596896i	0.0176273	−	0.0531757i
$127$	13.7854	+	4.04775i	1.22325	+	0.359179i	0.828700	−	0.559694i	$-0.189081\pi$
$127$	13.7854	+	4.04775i	1.22325	+	0.359179i	0.394553	+	0.918873i	$0.370899\pi$
$128$	11.1166	−	2.10276i	0.982576	−	0.185859i
$129$	−0.271386	+	1.88753i	−0.0238942	+	0.166188i
$130$	0.781886	+	0.726202i	0.0685759	+	0.0636921i
$131$	11.9094	+	5.43882i	1.04053	+	0.475192i	0.861023	−	0.508565i	$-0.169824\pi$
$131$	11.9094	+	5.43882i	1.04053	+	0.475192i	0.179502	+	0.983758i	$0.442551\pi$
$132$	6.44057	+	4.79714i	0.560580	+	0.417538i
$133$	0.762712	−	0.109661i	0.0661355	−	0.00950885i
$134$	−10.4526	+	6.21891i	−0.902971	+	0.537232i
$135$	0.129279	+	0.149196i	0.0111266	+	0.0128408i
$136$	−3.56619	−	19.3646i	−0.305798	−	1.66050i
$137$	17.7993			1.52070			0.760348	−	0.649516i	$-0.225028\pi$
$137$	17.7993			1.52070			0.760348	+	0.649516i	$0.225028\pi$
$138$	−6.47145	+	2.02985i	−0.550887	+	0.172793i
$139$		−	7.73438i		−	0.656022i	−0.944674	−	0.328011i	$-0.893622\pi$
$139$		−	7.73438i		−	0.656022i	0.944674	−	0.328011i	$-0.106378\pi$
$140$	0.0377325	+	0.171460i	0.00318897	+	0.0144910i
$141$	5.17138	−	4.48102i	0.435508	−	0.377370i
$142$	3.73378	+	6.27569i	0.313332	+	0.526644i
$143$	−2.18419	−	15.1914i	−0.182652	−	1.27037i
$144$	−3.03561	−	2.60482i	−0.252967	−	0.217068i
$145$	−0.166537	+	0.364665i	−0.0138302	+	0.0302838i
$146$	13.1622	+	12.2248i	1.08931	+	1.01174i
$147$	6.73304	+	0.968066i	0.555332	+	0.0798447i
$148$	−3.09890	+	1.16436i	−0.254728	+	0.0957095i
$149$	1.72463	−	5.87355i	0.141287	−	0.481180i	−0.858196	−	0.513322i	$-0.828415\pi$
$149$	1.72463	−	5.87355i	0.141287	−	0.481180i	0.999483	+	0.0321420i	$0.0102329\pi$
$150$	6.65959	+	2.20760i	0.543753	+	0.180250i
$151$	0.919169	+	2.01270i	0.0748009	+	0.163791i	0.943338	−	0.331832i	$-0.107667\pi$
$151$	0.919169	+	2.01270i	0.0748009	+	0.163791i	−0.868537	+	0.495624i	$0.834940\pi$
$152$	1.19496	−	4.75357i	0.0969243	−	0.385565i
$153$	−4.55885	+	5.26119i	−0.368561	+	0.425342i
$154$	1.12752	−	2.25931i	0.0908582	−	0.182060i
$155$	0.178627	−	0.277949i	0.0143477	−	0.0223254i
$156$	0.563745	+	7.62358i	0.0451357	+	0.610375i
$157$	2.38364	+	3.70902i	0.190235	+	0.296012i	0.923249	−	0.384202i	$-0.125523\pi$
$157$	2.38364	+	3.70902i	0.190235	+	0.296012i	−0.733014	+	0.680214i	$0.761887\pi$
$158$	16.8068	−	13.5773i	1.33708	−	1.08015i
$159$	4.13789	−	1.21499i	0.328156	−	0.0963553i
$160$	1.10018	+	0.191647i	0.0869767	+	0.0151511i
$161$	0.987078	+	1.89029i	0.0777926	+	0.148976i
$162$	−0.0487711	+	1.41337i	−0.00383182	+	0.111045i
$163$	3.67684	+	12.5222i	0.287993	+	0.980813i	0.968695	+	0.248253i	$0.0798564\pi$
$163$	3.67684	+	12.5222i	0.287993	+	0.980813i	−0.680703	+	0.732560i	$0.738325\pi$
$164$	1.89731	+	2.52180i	0.148155	+	0.196920i
$165$	0.428565	+	0.666860i	0.0333637	+	0.0519149i
$166$	−1.95545	−	17.9841i	−0.151772	−	1.39584i
$167$	17.0269	+	10.9425i	1.31758	+	0.846758i	0.995009	−	0.0997865i	$-0.0318160\pi$
$167$	17.0269	+	10.9425i	1.31758	+	0.846758i	0.322573	+	0.946545i	$0.395452\pi$
$168$	−0.637834	+	1.08393i	−0.0492099	+	0.0836273i
$169$	1.05379	−	1.21614i	0.0810612	−	0.0935496i
$170$	0.342779	−	1.91311i	0.0262900	−	0.146729i
$171$	−1.57633	+	0.719884i	−0.120545	+	0.0550509i
$172$	1.32419	−	3.57662i	0.100968	−	0.272715i
$173$	−6.59279	+	22.4530i	−0.501240	+	1.70707i	0.187680	+	0.982230i	$0.439903\pi$
$173$	−6.59279	+	22.4530i	−0.501240	+	1.70707i	−0.688920	+	0.724837i	$0.741915\pi$
$174$	−2.65193	+	1.10222i	−0.201042	+	0.0835589i
$175$	0.313939	−	2.18349i	0.0237315	−	0.165056i
$176$	−10.5766	−	12.0876i	−0.797238	−	0.911139i
$177$	4.81861	−	10.5513i	0.362189	−	0.793084i
$178$	−6.83184	+	9.86511i	−0.512068	+	0.739422i
$179$	0.746843	−	0.107380i	0.0558217	−	0.00802594i	−0.114347	−	0.993441i	$-0.536478\pi$
$179$	0.746843	−	0.107380i	0.0558217	−	0.00802594i	0.170169	+	0.985415i	$0.445569\pi$
$180$	−0.190057	−	0.346076i	−0.0141660	−	0.0257950i
$181$	16.5203	−	14.3149i	1.22795	−	1.06402i	0.232126	−	0.972686i	$-0.425432\pi$
$181$	16.5203	−	14.3149i	1.22795	−	1.06402i	0.995820	−	0.0913352i	$-0.0291135\pi$
$182$	2.32816	−	0.597221i	0.172575	−	0.0442689i
$183$	−7.94970			−0.587659
$184$	13.5071	−	1.24832i	0.995756	−	0.0920272i
$185$	−0.326763			−0.0240241
$186$	2.29264	−	0.588108i	0.168104	−	0.0431222i
$187$	−21.1258	+	18.3056i	−1.54487	+	1.33864i
$188$	−11.9955	+	6.58769i	−0.874865	+	0.480457i
$189$	0.440129	−	0.0632810i	0.0320147	−	0.00460301i
$190$	0.275448	−	0.397744i	0.0199831	−	0.0288554i
$191$	−8.15439	+	17.8556i	−0.590031	+	1.29199i	0.345392	+	0.938458i	$0.387746\pi$
$191$	−8.15439	+	17.8556i	−0.590031	+	1.29199i	−0.935423	+	0.353530i	$0.884981\pi$
$192$	4.84046	+	6.36945i	0.349330	+	0.459676i
$193$	0.303956	−	2.11406i	0.0218792	−	0.152173i	−0.975953	−	0.217980i	$-0.930053\pi$
$193$	0.303956	−	2.11406i	0.0218792	−	0.152173i	0.997832	+	0.0658071i	$0.0209622\pi$
$194$	0.520548	−	0.216354i	0.0373732	−	0.0155333i
$195$	−0.212583	+	0.723993i	−0.0152234	+	0.0518462i
$196$	−12.7582	−	4.72353i	−0.911302	−	0.337395i
$197$	−22.3584	+	10.2108i	−1.59297	+	0.727487i	−0.997137	−	0.0756190i	$-0.975907\pi$
$197$	−22.3584	+	10.2108i	−1.59297	+	0.727487i	−0.595837	+	0.803106i	$0.703179\pi$
$198$	−1.00151	+	5.58961i	−0.0711745	+	0.397236i
$199$	−0.504723	+	0.582482i	−0.0357789	+	0.0412910i	−0.773357	−	0.633971i	$-0.781424\pi$
$199$	−0.504723	+	0.582482i	−0.0357789	+	0.0412910i	0.737578	+	0.675262i	$0.235969\pi$
$200$	−12.0935	−	7.11633i	−0.855138	−	0.503200i
$201$	−7.23509	−	4.64971i	−0.510324	−	0.327965i
$202$	0.854032	+	7.85448i	0.0600895	+	0.552639i
$203$	0.488182	+	0.759625i	0.0342636	+	0.0533153i
$204$	11.1259	−	8.37068i	0.778966	−	0.586065i
$205$	0.0877607	+	0.298886i	0.00612947	+	0.0208751i
$206$	0.667543	−	19.3452i	0.0465099	−	1.34784i
$207$	−3.32764	−	3.45352i	−0.231287	−	0.240037i
$208$	2.10275	−	15.1435i	0.145800	−	1.05001i
$209$	−6.67653	+	1.96040i	−0.461825	+	0.135604i
$210$	−0.0965678	+	0.0780116i	−0.00666381	+	0.00538331i
$211$	10.0212	+	15.5934i	0.689890	+	1.07349i	0.992720	+	0.120446i	$0.0384324\pi$
$211$	10.0212	+	15.5934i	0.689890	+	1.07349i	−0.302829	+	0.953045i	$0.597931\pi$
$212$	−8.60167	+	0.636073i	−0.590765	+	0.0436857i
$213$	−2.79165	+	4.34389i	−0.191281	+	0.297638i
$214$	−5.85721	+	11.7366i	−0.400391	+	0.802296i
$215$	0.246528	−	0.284508i	0.0168130	−	0.0194033i
$216$	0.689563	−	2.74308i	0.0469188	−	0.186643i
$217$	−0.309146	−	0.676936i	−0.0209862	−	0.0459534i
$218$	4.15459	+	1.37721i	0.281384	+	0.0932767i
$219$	−3.57862	+	12.1877i	−0.241821	+	0.823565i
$220$	−0.557622	−	1.48409i	−0.0375949	−	0.100058i
$221$	−26.3376	−	3.78678i	−1.77166	−	0.254726i
$222$	−1.71516	−	1.59301i	−0.115114	−	0.106916i
$223$	−3.19761	+	7.00180i	−0.214128	+	0.468875i	−0.985966	−	0.166944i	$-0.946610\pi$
$223$	−3.19761	+	7.00180i	−0.214128	+	0.468875i	0.771838	+	0.635819i	$0.219337\pi$
$224$	1.70286	−	1.85128i	0.113777	−	0.123694i
$225$	0.706028	+	4.91053i	0.0470685	+	0.327369i
$226$	7.92129	+	13.3140i	0.526917	+	0.885634i
$227$	0.489020	−	0.423738i	0.0324574	−	0.0281245i	−0.638481	−	0.769638i	$-0.720437\pi$
$227$	0.489020	−	0.423738i	0.0324574	−	0.0281245i	0.670938	+	0.741513i	$0.265891\pi$
$228$	3.38486	−	0.744892i	0.224168	−	0.0493317i
$229$		−	1.68365i		−	0.111259i	−0.998451	−	0.0556294i	$-0.982283\pi$
$229$		−	1.68365i		−	0.111259i	0.998451	−	0.0556294i	$-0.0177165\pi$
$230$	1.29140	+	0.353591i	0.0851523	+	0.0233151i
$231$	1.78546			0.117475
$232$	5.64875	−	1.04027i	0.370858	−	0.0682974i
$233$	−3.12896	−	3.61101i	−0.204985	−	0.236565i	0.643944	−	0.765073i	$-0.277297\pi$
$233$	−3.12896	−	3.61101i	−0.204985	−	0.236565i	−0.848928	+	0.528508i	$0.822752\pi$
$234$	−4.64539	+	2.76382i	−0.303679	+	0.180677i
$235$	−1.33710	+	0.192246i	−0.0872229	+	0.0125408i
$236$	−13.8578	+	18.6053i	−0.902066	+	1.21110i
$237$	13.8970	+	6.34655i	0.902707	+	0.412253i
$238$	−3.20760	−	2.97916i	−0.207918	−	0.193111i
$239$	3.29774	−	22.9363i	0.213313	−	1.48363i	−0.548675	−	0.836036i	$-0.684868\pi$
$239$	3.29774	−	22.9363i	0.213313	−	1.48363i	0.761988	−	0.647591i	$-0.224223\pi$
$240$	0.226127	+	0.756589i	0.0145964	+	0.0488376i
$241$	10.1510	+	2.98061i	0.653885	+	0.191998i	0.591815	−	0.806074i	$-0.298412\pi$
$241$	10.1510	+	2.98061i	0.653885	+	0.191998i	0.0620701	+	0.998072i	$0.480230\pi$
$242$	−2.27985	+	6.87753i	−0.146554	+	0.442105i
$243$	−0.909632	+	0.415415i	−0.0583529	+	0.0266489i
$244$	15.5442	+	3.34216i	0.995113	+	0.213960i
$245$	−1.01487	−	0.879393i	−0.0648379	−	0.0561824i
$246$	−0.996453	+	1.99668i	−0.0635315	+	0.127303i
$247$	−5.57212	−	3.58098i	−0.354546	−	0.227853i
$248$	−4.73007	+	0.186082i	−0.300360	+	0.0118162i
$249$	10.7610	−	6.91569i	0.681952	−	0.438264i
$250$	−1.74759	−	2.16328i	−0.110527	−	0.136818i
$251$	−4.71240	−	16.0490i	−0.297444	−	1.01300i	−0.963635	−	0.267220i	$-0.913895\pi$
$251$	−4.71240	−	16.0490i	−0.297444	−	1.01300i	0.666192	−	0.745781i	$-0.267923\pi$
$252$	−0.887194	−	0.0613017i	−0.0558880	−	0.00386164i
$253$	−11.2523	−	15.6277i	−0.707423	−	0.982505i
$254$	0.700711	−	20.3064i	0.0439665	−	1.27414i
$255$	1.31864	−	0.387189i	0.0825767	−	0.0242467i
$256$	−6.78683	−	14.4893i	−0.424177	−	0.905579i
$257$	−15.1195	+	9.71669i	−0.943126	+	0.606110i	−0.919280	−	0.393605i	$-0.871228\pi$
$257$	−15.1195	+	9.71669i	−0.943126	+	0.606110i	−0.0238466	+	0.999716i	$0.507591\pi$
$258$	2.68102	−	0.291512i	0.166913	−	0.0181488i
$259$	−0.397911	+	0.619161i	−0.0247250	+	0.0384728i
$260$	0.720043	−	1.32626i	0.0446552	−	0.0822512i
$261$	−1.53471	−	1.32984i	−0.0949964	−	0.0823149i
$262$	3.26551	−	18.2254i	0.201744	−	1.12597i
$263$	−4.09866	−	8.97481i	−0.252734	−	0.553411i	0.740157	−	0.672434i	$-0.234751\pi$
$263$	−4.09866	−	8.97481i	−0.252734	−	0.553411i	−0.992891	+	0.119023i	$0.962024\pi$
$264$	4.30822	−	10.5084i	0.265152	−	0.646747i
$265$	−0.816880	−	0.239858i	−0.0501806	−	0.0147343i
$266$	−0.418236	−	1.00627i	−0.0256437	−	0.0616987i
$267$	−8.39876	−	1.20756i	−0.513995	−	0.0739014i
$268$	12.1921	+	12.1334i	0.744749	+	0.741163i
$269$	11.3349	+	5.17650i	0.691104	+	0.315617i	0.729826	−	0.683633i	$-0.239601\pi$
$269$	11.3349	+	5.17650i	0.691104	+	0.315617i	−0.0387216	+	0.999250i	$0.512329\pi$
$270$	0.158950	−	0.229522i	0.00967336	−	0.0139682i
$271$	−2.29961	−	15.9942i	−0.139692	−	0.971577i	−0.932259	−	0.361792i	$-0.882165\pi$
$271$	−2.29961	−	15.9942i	−0.139692	−	0.971577i	0.792567	−	0.609785i	$-0.208744\pi$
$272$	−25.2737	+	11.6899i	−1.53244	+	0.708802i
$273$	1.11297	+	1.28444i	0.0673603	+	0.0777379i
$274$	−6.25462	−	24.3826i	−0.377856	−	1.47300i
$275$			19.9205i			1.20125i
$276$	5.05467	+	8.15171i	0.304255	+	0.490675i
$277$			24.4639i			1.46990i	0.678124	+	0.734948i	$0.262793\pi$
$277$			24.4639i			1.46990i	−0.678124	+	0.734948i	$0.737207\pi$
$278$	−10.5950	+	2.71784i	−0.635448	+	0.163005i
$279$	1.09599	+	1.26484i	0.0656154	+	0.0757242i
$280$	0.221617	−	0.111939i	0.0132442	−	0.00668963i
$281$	−3.11619	−	21.6736i	−0.185896	−	1.29294i	−0.842498	−	0.538700i	$-0.818916\pi$
$281$	−3.11619	−	21.6736i	−0.185896	−	1.29294i	0.656601	−	0.754238i	$-0.271993\pi$
$282$	−7.95559	−	5.50945i	−0.473748	−	0.328083i
$283$	−22.3096	−	10.1884i	−1.32617	−	0.605640i	−0.378707	−	0.925517i	$-0.623631\pi$
$283$	−22.3096	−	10.1884i	−1.32617	−	0.605640i	−0.947459	+	0.319877i	$0.896358\pi$
$284$	7.28478	−	7.32002i	0.432272	−	0.434363i
$285$	0.338623	+	0.0486867i	0.0200583	+	0.00288395i
$286$	−20.0426	+	8.33027i	−1.18514	+	0.492579i
$287$	0.673207	+	0.197671i	0.0397381	+	0.0116682i
$288$	−2.50154	+	5.07369i	−0.147405	+	0.298970i
$289$	13.0703	+	28.6200i	0.768842	+	1.68353i
$290$	0.558062	+	0.0999902i	0.0327705	+	0.00587163i
$291$	0.301249	+	0.261034i	0.0176595	+	0.0153021i
$292$	12.1212	−	22.3262i	0.709338	−	1.30654i
$293$	−12.3718	+	19.2508i	−0.722767	+	1.12465i	0.264316	+	0.964436i	$0.414854\pi$
$293$	−12.3718	+	19.2508i	−0.722767	+	1.12465i	−0.987083	+	0.160211i	$0.948783\pi$
$294$	−1.03986	−	9.56351i	−0.0606458	−	0.557755i
$295$	−1.92640	+	1.23802i	−0.112159	+	0.0720804i
$296$	2.68395	+	3.83591i	0.156002	+	0.222958i
$297$	−3.85274	+	1.13127i	−0.223559	+	0.0656428i
$298$	−8.65198	−	0.298553i	−0.501196	−	0.0172947i
$299$	4.22824	−	17.8363i	0.244526	−	1.03150i
$300$	0.683945	−	9.89845i	0.0394876	−	0.571488i
$301$	−0.238890	−	0.813584i	−0.0137694	−	0.0468942i
$302$	2.43413	−	1.96639i	0.140068	−	0.113153i
$303$	−4.69982	+	3.02039i	−0.269998	+	0.173517i
$304$	−6.93163	+	0.0334576i	−0.397556	+	0.00191892i
$305$	1.32025	+	0.848475i	0.0755974	+	0.0485835i
$306$	8.80907	+	4.39622i	0.503581	+	0.251315i
$307$	4.33702	+	3.75805i	0.247527	+	0.214483i	0.769783	−	0.638305i	$-0.220364\pi$
$307$	4.33702	+	3.75805i	0.247527	+	0.214483i	−0.522257	+	0.852788i	$0.674910\pi$
$308$	−3.49114	−	0.750632i	−0.198926	−	0.0427712i
$309$	12.4504	−	5.68589i	0.708277	−	0.323459i
$310$	−0.443520	−	0.147024i	−0.0251903	−	0.00835038i
$311$	−16.8027	−	4.93372i	−0.952793	−	0.279765i	−0.231844	−	0.972753i	$-0.574476\pi$
$311$	−16.8027	−	4.93372i	−0.952793	−	0.279765i	−0.720949	+	0.692988i	$0.756294\pi$
$312$	10.2451	−	3.45116i	0.580017	−	0.195383i
$313$	2.42164	−	16.8429i	0.136879	−	0.952017i	−0.799410	−	0.600786i	$-0.794854\pi$
$313$	2.42164	−	16.8429i	0.136879	−	0.952017i	0.936289	−	0.351230i	$-0.114237\pi$
$314$	4.24324	−	4.56860i	0.239460	−	0.257821i
$315$	−0.0798488	−	0.0364657i	−0.00449897	−	0.00205461i
$316$	−24.5048	−	18.2520i	−1.37850	−	1.02675i
$317$	−14.8119	+	2.12963i	−0.831920	+	0.119612i	−0.545098	−	0.838372i	$-0.683508\pi$
$317$	−14.8119	+	2.12963i	−0.831920	+	0.119612i	−0.286821	+	0.957984i	$0.592599\pi$
$318$	−3.11842	−	5.24139i	−0.174872	−	0.293923i
$319$	−5.33982	−	6.16248i	−0.298973	−	0.345033i
$320$	−0.124069	−	1.57444i	−0.00693569	−	0.0880137i
$321$	−9.27508			−0.517684
$322$	2.24258	−	2.01640i	0.124974	−	0.112370i
$323$			12.0639i			0.671252i
$324$	1.95326	−	0.429846i	0.108515	−	0.0238803i
$325$	−14.3305	+	12.4175i	−0.794915	+	0.688798i
$326$	15.8616	−	9.43703i	0.878494	−	0.522669i
$327$	0.440456	+	3.06344i	0.0243573	+	0.169409i
$328$	2.78781	−	3.48521i	0.153931	−	0.192438i
$329$	−1.26396	+	2.76769i	−0.0696844	+	0.152588i
$330$	0.762909	−	0.821407i	0.0419967	−	0.0452170i
$331$	6.52886	+	0.938708i	0.358858	+	0.0515960i	0.319386	−	0.947625i	$-0.396523\pi$
$331$	6.52886	+	0.938708i	0.358858	+	0.0515960i	0.0394721	+	0.999221i	$0.487432\pi$
$332$	−23.9486	+	8.99827i	−1.31435	+	0.493844i
$333$	0.466327	−	1.58816i	0.0255546	−	0.0870309i
$334$	9.00653	−	27.1697i	0.492816	−	1.48666i
$335$	0.705308	+	1.54441i	0.0385351	+	0.0843800i
$336$	1.70897	+	0.492852i	0.0932321	+	0.0268873i
$337$	−7.23547	+	8.35018i	−0.394141	+	0.454863i	−0.917787	−	0.397073i	$-0.870026\pi$
$337$	−7.23547	+	8.35018i	−0.394141	+	0.454863i	0.523646	+	0.851936i	$0.324572\pi$
$338$	−2.03625	−	1.01620i	−0.110757	−	0.0552742i
$339$	−5.92254	+	9.21565i	−0.321668	+	0.500525i
$340$	−2.74114	+	0.202701i	−0.148659	+	0.0109930i
$341$	3.63325	+	5.65345i	0.196752	+	0.306152i
$342$	1.54006	+	1.90638i	0.0832769	+	0.103085i
$343$	−5.88865	+	1.72906i	−0.317957	+	0.0933607i
$344$	−5.36479	−	0.557137i	−0.289250	−	0.0300388i
$345$	0.184044	+	0.928707i	0.00990858	+	0.0499999i
$346$	33.0741	+	1.14129i	1.77808	+	0.0613559i
$347$	−5.36081	−	18.2572i	−0.287783	−	0.980100i	−0.968802	−	0.247834i	$-0.920281\pi$
$347$	−5.36081	−	18.2572i	−0.287783	−	0.980100i	0.681019	−	0.732265i	$-0.261537\pi$
$348$	2.44177	+	3.24546i	0.130892	+	0.173975i
$349$	17.1482	+	26.6832i	0.917924	+	1.42832i	0.903580	+	0.428420i	$0.140930\pi$
$349$	17.1482	+	26.6832i	0.917924	+	1.42832i	0.0143437	+	0.999897i	$0.495434\pi$
$350$	−3.10140	+	0.337221i	−0.165777	+	0.0180252i
$351$	−3.21544	−	2.06644i	−0.171627	−	0.110298i
$352$	−12.8418	+	18.7360i	−0.684469	+	0.998631i
$353$	8.51452	−	9.82628i	0.453182	−	0.523000i	−0.482475	−	0.875909i	$-0.660262\pi$
$353$	8.51452	−	9.82628i	0.453182	−	0.523000i	0.935657	+	0.352910i	$0.114808\pi$
$354$	−16.1471	−	2.89314i	−0.858207	−	0.153768i
$355$	0.927250	−	0.423461i	0.0492133	−	0.0224750i
$356$	15.9145	+	5.89210i	0.843468	+	0.312281i
$357$	0.872100	−	2.97010i	0.0461564	−	0.157194i
$358$	−0.409534	−	0.985338i	−0.0216446	−	0.0520767i
$359$	−2.31498	+	16.1010i	−0.122180	+	0.849780i	0.832898	+	0.553426i	$0.186680\pi$
$359$	−2.31498	+	16.1010i	−0.122180	+	0.849780i	−0.955078	+	0.296354i	$0.904229\pi$
$360$	−0.407290	+	0.381962i	−0.0214661	+	0.0201312i
$361$	6.64538	−	14.5513i	0.349757	−	0.765860i
$362$	−25.4147	−	17.6003i	−1.33577	−	0.925052i
$363$	−5.07124	+	0.729134i	−0.266171	+	0.0382696i
$364$	−1.63622	−	2.97939i	−0.0857612	−	0.156163i
$365$	1.89512	−	1.64213i	0.0991949	−	0.0859528i
$366$	2.79350	+	10.8900i	0.146019	+	0.569229i
$367$	−22.0640			−1.15173			−0.575867	−	0.817544i	$-0.695335\pi$
$367$	−22.0640			−1.15173			−0.575867	+	0.817544i	$0.695335\pi$
$368$	−6.45638	−	18.0642i	−0.336562	−	0.941661i
$369$	−1.57792			−0.0821430
$370$	0.114824	+	0.447620i	0.00596940	+	0.0232707i
$371$	−1.44923	+	1.25577i	−0.0752404	+	0.0651962i
$372$	−1.61125	−	2.93393i	−0.0835396	−	0.152117i
$373$	30.6498	−	4.40677i	1.58699	−	0.228174i	0.708418	−	0.705793i	$-0.249409\pi$
$373$	30.6498	−	4.40677i	1.58699	−	0.228174i	0.878567	+	0.477619i	$0.158500\pi$
$374$	32.4996	+	22.5068i	1.68052	+	1.16380i
$375$	0.816894	−	1.78875i	0.0421842	−	0.0923706i
$376$	13.2394	+	14.1173i	0.682771	+	0.728046i
$377$	1.10462	−	7.68280i	0.0568908	−	0.395684i
$378$	−0.241346	−	0.580679i	−0.0124135	−	0.0298669i
$379$	5.79107	−	19.7226i	0.297467	−	1.01308i	−0.666155	−	0.745813i	$-0.732061\pi$
$379$	5.79107	−	19.7226i	0.297467	−	1.01308i	0.963622	−	0.267267i	$-0.0861207\pi$
$380$	−0.641646	−	0.237559i	−0.0329158	−	0.0121865i
$381$	13.0690	−	5.96841i	0.669544	−	0.305771i
$382$	27.3252	+	4.89596i	1.39808	+	0.250499i
$383$	−15.0371	+	17.3537i	−0.768358	+	0.886732i	−0.996212	−	0.0869634i	$-0.972284\pi$
$383$	−15.0371	+	17.3537i	−0.768358	+	0.886732i	0.227854	+	0.973695i	$0.426829\pi$
$384$	7.02434	−	8.86897i	0.358459	−	0.452593i
$385$	−0.296522	−	0.190563i	−0.0151122	−	0.00971201i
$386$	−3.00278	+	0.326498i	−0.152837	+	0.0166183i
$387$	1.03097	+	1.60422i	0.0524072	+	0.0815471i
$388$	−0.479295	−	0.637052i	−0.0243325	−	0.0323414i
$389$	−3.84233	−	13.0858i	−0.194814	−	0.663475i	−0.997727	−	0.0673796i	$-0.978536\pi$
$389$	−3.84233	−	13.0858i	−0.194814	−	0.663475i	0.802914	−	0.596096i	$-0.203282\pi$
$390$	1.06647	+	0.0368006i	0.0540029	+	0.00186347i
$391$	−31.4926	+	11.0847i	−1.59265	+	0.560579i
$392$	−1.98737	+	19.1368i	−0.100377	+	0.966556i
$393$	12.5622	−	3.68858i	0.633677	−	0.186064i
$394$	21.8440	+	27.0399i	1.10049	+	1.36225i
$395$	−1.63059	−	2.53724i	−0.0820437	−	0.127662i
$396$	8.00892	−	0.592240i	0.402463	−	0.0297612i
$397$	16.6318	−	25.8796i	0.834728	−	1.29886i	−0.117376	−	0.993087i	$-0.537448\pi$
$397$	16.6318	−	25.8796i	0.834728	−	1.29886i	0.952104	−	0.305774i	$-0.0989152\pi$
$398$	0.975278	+	0.486718i	0.0488863	+	0.0243970i
$399$	0.504606	−	0.582347i	0.0252619	−	0.0291538i
$400$	−5.49876	+	19.0670i	−0.274938	+	0.953352i
$401$	6.98493	+	15.2949i	0.348811	+	0.763789i	0.999988	+	0.00486331i	$0.00154805\pi$
$401$	6.98493	+	15.2949i	0.348811	+	0.763789i	−0.651178	+	0.758925i	$0.725725\pi$
$402$	−3.82707	+	11.5450i	−0.190877	+	0.575811i
$403$	−1.80222	+	6.13781i	−0.0897752	+	0.305746i
$404$	10.4594	−	3.92995i	0.520377	−	0.195522i
$405$	0.195405	+	0.0280950i	0.00970976	+	0.00139605i
$406$	0.869036	−	0.935672i	0.0431295	−	0.0464366i
$407$	2.76098	−	6.04571i	0.136857	−	0.299675i
$408$	−15.3763	−	12.2994i	−0.761239	−	0.608913i
$409$	1.59003	+	11.0589i	0.0786219	+	0.546828i	0.990621	+	0.136636i	$0.0436291\pi$
$409$	1.59003	+	11.0589i	0.0786219	+	0.546828i	−0.911999	+	0.410192i	$0.865462\pi$
$410$	0.378593	−	0.225248i	0.0186974	−	0.0111242i
$411$	13.4518	−	11.6561i	0.663529	−	0.574951i
$412$	−26.7348	+	5.88341i	−1.31713	+	0.289855i
$413$			5.15778i			0.253798i
$414$	−3.56153	+	5.77196i	−0.175039	+	0.283676i
$415$	−2.52526			−0.123960
$416$	−21.4834	+	2.44091i	−1.05331	+	0.119675i
$417$	−5.06494	−	5.84526i	−0.248031	−	0.286244i
$418$	5.03160	+	8.45703i	0.246103	+	0.413647i
$419$	12.2425	−	1.76021i	0.598085	−	0.0859916i	0.163378	−	0.986564i	$-0.447761\pi$
$419$	12.2425	−	1.76021i	0.598085	−	0.0859916i	0.434707	+	0.900572i	$0.356852\pi$
$420$	0.140799	+	0.104871i	0.00687028	+	0.00511720i
$421$	−6.71231	−	3.06541i	−0.327138	−	0.149399i	0.245075	−	0.969504i	$-0.421188\pi$
$421$	−6.71231	−	3.06541i	−0.327138	−	0.149399i	−0.572213	+	0.820105i	$0.693915\pi$
$422$	17.8393	−	19.2072i	0.868403	−	0.934990i
$423$	0.973819	−	6.77306i	0.0473487	−	0.329318i
$424$	3.89394	+	11.5596i	0.189106	+	0.561383i
$425$	33.1375	+	9.73005i	1.60740	+	0.471977i
$426$	6.93150	+	2.29774i	0.335832	+	0.111326i
$427$	3.21543	−	1.46844i	0.155606	−	0.0710627i
$428$	18.1357	+	3.89936i	0.876622	+	0.188483i
$429$	−11.5990	−	10.0506i	−0.560003	−	0.485245i
$430$	−0.476366	−	0.237733i	−0.0229724	−	0.0114645i
$431$	−8.94127	−	5.74620i	−0.430686	−	0.276785i	0.307285	−	0.951617i	$-0.400579\pi$
$431$	−8.94127	−	5.74620i	−0.430686	−	0.276785i	−0.737971	+	0.674833i	$0.764216\pi$
$432$	−3.99995	+	0.0193070i	−0.192448	+	0.000928906i
$433$	−6.04512	+	3.88496i	−0.290510	+	0.186699i	−0.677776	−	0.735269i	$-0.737056\pi$
$433$	−6.04512	+	3.88496i	−0.290510	+	0.186699i	0.387266	+	0.921968i	$0.373420\pi$
$434$	−0.818675	+	0.661361i	−0.0392977	+	0.0317463i
$435$	0.112945	+	0.384654i	0.00541528	+	0.0184428i
$436$	0.426679	−	6.17516i	0.0204342	−	0.295736i
$437$	−8.27722	−	0.746652i	−0.395953	−	0.0357172i
$438$	17.9529	+	0.619500i	0.857823	+	0.0296008i
$439$	31.7923	−	9.33505i	1.51736	−	0.445538i	0.586207	−	0.810161i	$-0.300621\pi$
$439$	31.7923	−	9.33505i	1.51736	−	0.445538i	0.931155	+	0.364624i	$0.118802\pi$
$440$	−1.83706	+	1.28537i	−0.0875782	+	0.0612777i
$441$	5.72244	−	3.67759i	0.272497	−	0.175123i
$442$	4.06761	+	37.4095i	0.193476	+	1.77939i
$443$	−3.82839	+	5.95709i	−0.181892	+	0.283030i	−0.920211	−	0.391422i	$-0.871983\pi$
$443$	−3.82839	+	5.95709i	−0.181892	+	0.283030i	0.738319	+	0.674451i	$0.235620\pi$
$444$	−1.57950	+	2.90931i	−0.0749598	+	0.138070i
$445$	1.26595	+	1.09695i	0.0600116	+	0.0520004i
$446$	10.7151	+	1.91987i	0.507376	+	0.0909086i
$447$	−2.54297	−	5.56833i	−0.120278	−	0.263373i
$448$	−3.13438	−	1.68215i	−0.148085	−	0.0794743i
$449$	26.3256	+	7.72990i	1.24238	+	0.364796i	0.835910	−	0.548867i	$-0.184941\pi$
$449$	26.3256	+	7.72990i	1.24238	+	0.364796i	0.406472	+	0.913663i	$0.366759\pi$
$450$	6.47865	−	2.69271i	0.305406	−	0.126935i
$451$	−6.27146	−	0.901700i	−0.295312	−	0.0424594i
$452$	15.4548	−	15.5296i	0.726933	−	0.730450i
$453$	2.01270	+	0.919169i	0.0945649	+	0.0431863i
$454$	−0.752302	−	0.520989i	−0.0353073	−	0.0244512i
$455$	−0.0477492	−	0.332103i	−0.00223851	−	0.0155692i
$456$	−2.20983	−	4.37504i	−0.103485	−	0.204880i
$457$	12.2330	+	14.1177i	0.572237	+	0.660397i	0.965917	−	0.258850i	$-0.0833436\pi$
$457$	12.2330	+	14.1177i	0.572237	+	0.660397i	−0.393680	+	0.919248i	$0.628798\pi$
$458$	−2.30637	+	0.591631i	−0.107770	+	0.0276451i
$459$			6.96156i			0.324938i
$460$	0.0305771	−	1.89329i	0.00142566	−	0.0882750i
$461$		−	10.9027i		−	0.507788i	−0.967232	−	0.253894i	$-0.918289\pi$
$461$		−	10.9027i		−	0.507788i	0.967232	−	0.253894i	$-0.0817114\pi$
$462$	−0.627408	−	2.44584i	−0.0291896	−	0.113791i
$463$	7.66224	+	8.84270i	0.356095	+	0.410955i	0.905327	−	0.424714i	$-0.139625\pi$
$463$	7.66224	+	8.84270i	0.356095	+	0.410955i	−0.549233	+	0.835669i	$0.685080\pi$
$464$	−3.40999	−	7.37245i	−0.158305	−	0.342257i
$465$	−0.0470206	−	0.327036i	−0.00218053	−	0.0151659i
$466$	−3.84707	+	5.55513i	−0.178212	+	0.257337i
$467$	24.5502	+	11.2117i	1.13605	+	0.518816i	0.892488	−	0.451070i	$-0.148958\pi$
$467$	24.5502	+	11.2117i	1.13605	+	0.518816i	0.243560	+	0.969886i	$0.421685\pi$
$468$	5.41843	+	5.39234i	0.250467	+	0.249261i
$469$	3.78527	+	0.544240i	0.174788	+	0.0251307i
$470$	0.733205	+	1.76409i	0.0338202	+	0.0813714i
$471$	4.23033	+	1.24214i	0.194923	+	0.0572347i
$472$	30.3563	+	12.4454i	1.39726	+	0.572847i
$473$	3.18088	+	6.96516i	0.146257	+	0.320258i
$474$	3.81052	−	21.2671i	0.175023	−	0.976831i
$475$	6.49726	+	5.62991i	0.298115	+	0.258318i
$476$	−2.95390	+	5.44084i	−0.135392	+	0.249380i
$477$	2.33156	−	3.62797i	0.106755	−	0.166113i
$478$	−32.5784	+	3.54231i	−1.49010	+	0.162021i
$479$	6.74159	−	4.33256i	0.308031	−	0.197960i	−0.377487	−	0.926015i	$-0.623212\pi$
$479$	6.74159	−	4.33256i	0.308031	−	0.197960i	0.685519	+	0.728055i	$0.259575\pi$
$480$	0.956962	−	0.575626i	0.0436791	−	0.0262736i
$481$	6.07028	−	1.78239i	0.276781	−	0.0812702i
$482$	0.515978	−	14.9529i	0.0235021	−	0.681085i
$483$	1.98386	+	0.782186i	0.0902687	+	0.0355907i
$484$	10.2224	+	0.706328i	0.464655	+	0.0321058i
$485$	−0.0221699	−	0.0755039i	−0.00100668	−	0.00342845i
$486$	0.888703	+	1.10009i	0.0403124	+	0.0499013i
$487$	−15.2066	+	9.77270i	−0.689078	+	0.442844i	−0.837758	−	0.546042i	$-0.816134\pi$
$487$	−15.2066	+	9.77270i	−0.689078	+	0.442844i	0.148680	+	0.988885i	$0.452498\pi$
$488$	−0.883888	−	22.4678i	−0.0400117	−	1.01707i
$489$	10.9791	+	7.05581i	0.496490	+	0.319075i
$490$	−0.848022	+	1.69925i	−0.0383097	+	0.0767644i
$491$	−25.5446	−	22.1345i	−1.15281	−	0.998915i	−0.999943	−	0.0106683i	$-0.996604\pi$
$491$	−25.5446	−	22.1345i	−1.15281	−	0.998915i	−0.152866	−	0.988247i	$-0.548850\pi$
$492$	3.08532	+	0.663376i	0.139097	+	0.0299073i
$493$	−12.8594	+	5.87270i	−0.579159	+	0.264493i
$494$	−2.94742	+	8.89138i	−0.132611	+	0.400042i
$495$	0.760588	+	0.223329i	0.0341859	+	0.0100379i
$496$	1.91704	+	6.41416i	0.0860778	+	0.288004i
$497$	0.326757	−	2.27265i	0.0146571	−	0.101942i
$498$	−13.2549	−	12.3110i	−0.593968	−	0.551667i
$499$	−4.53611	−	2.07157i	−0.203064	−	0.0927363i	0.311287	−	0.950316i	$-0.399240\pi$
$499$	−4.53611	−	2.07157i	−0.203064	−	0.0927363i	−0.514351	+	0.857580i	$0.671967\pi$
$500$	−2.34930	+	3.15413i	−0.105064	+	0.141057i
$501$	20.0339	−	2.88044i	0.895049	−	0.128689i
$502$	−20.3289	+	12.0949i	−0.907324	+	0.539821i
$503$	−13.9444	−	16.0927i	−0.621751	−	0.717539i	0.354288	−	0.935137i	$-0.384723\pi$
$503$	−13.9444	−	16.0927i	−0.621751	−	0.717539i	−0.976039	+	0.217598i	$0.930178\pi$
$504$	0.227783	+	1.23687i	0.0101463	+	0.0550948i
$505$	1.10289			0.0490781
$506$	−17.4538	+	20.9056i	−0.775914	+	0.929365i
$507$		−	1.60919i		−	0.0714666i
$508$	−28.0632	+	6.17574i	−1.24510	+	0.274004i
$509$	−0.230606	+	0.199821i	−0.0102214	+	0.00885691i	−0.659956	−	0.751304i	$-0.729425\pi$
$509$	−0.230606	+	0.199821i	−0.0102214	+	0.00885691i	0.649735	+	0.760161i	$0.274880\pi$
$510$	−0.993763	−	1.67030i	−0.0440046	−	0.0739622i
$511$	−0.803807	−	5.59060i	−0.0355583	−	0.247314i
$512$	−17.4634	+	14.3885i	−0.771781	+	0.635888i
$513$	−0.719884	+	1.57633i	−0.0317837	+	0.0695965i
$514$	18.6235	+	17.2971i	0.821445	+	0.762944i
$515$	−2.67456	−	0.384544i	−0.117855	−	0.0169450i
$516$	−1.34144	−	3.57019i	−0.0590534	−	0.157169i
$517$	7.74093	−	26.3632i	0.340446	−	1.15945i
$518$	0.987989	+	0.327511i	0.0434098	+	0.0143900i
$519$	9.72107	+	21.2862i	0.426708	+	0.934359i
$520$	−2.06981	−	0.520315i	−0.0907674	−	0.0228173i
$521$	−0.743244	+	0.857749i	−0.0325621	+	0.0375787i	−0.771797	−	0.635869i	$-0.780642\pi$
$521$	−0.743244	+	0.857749i	−0.0325621	+	0.0375787i	0.739235	+	0.673448i	$0.235187\pi$
$522$	−1.28240	+	2.56965i	−0.0561290	+	0.112470i
$523$	2.50941	−	3.90472i	0.109729	−	0.170742i	−0.782046	−	0.623221i	$-0.785824\pi$
$523$	2.50941	−	3.90472i	0.109729	−	0.170742i	0.891775	+	0.452479i	$0.149460\pi$
$524$	−26.1137	+	1.93104i	−1.14078	+	0.0843581i
$525$	−1.19262	−	1.85576i	−0.0520504	−	0.0809920i
$526$	−10.8540	+	8.76832i	−0.473256	+	0.382317i
$527$	11.1791	−	3.28248i	0.486969	−	0.142987i
$528$	−15.9089	−	2.20904i	−0.692348	−	0.0961360i
$529$	−5.65630	−	22.2936i	−0.245926	−	0.969289i
$530$	−0.0415221	+	1.20330i	−0.00180360	+	0.0522679i
$531$	−3.26796	−	11.1297i	−0.141817	−	0.482986i
$532$	−1.23149	+	0.926528i	−0.0533919	+	0.0401701i
$533$	−3.26066	−	5.07369i	−0.141235	−	0.219766i
$534$	1.29711	+	11.9295i	0.0561316	+	0.516238i
$535$	1.54037	+	0.989933i	0.0665958	+	0.0427985i
$536$	12.3368	−	20.9651i	0.532867	−	0.905554i
$537$	0.494107	−	0.570230i	0.0213223	−	0.0246073i
$538$	3.10801	−	17.3463i	0.133996	−	0.747853i
$539$	24.8455	−	11.3466i	1.07017	−	0.488732i
$540$	−0.370267	−	0.137085i	−0.0159338	−	0.00589922i
$541$	10.5833	−	36.0432i	0.455009	−	1.54962i	−0.338442	−	0.940987i	$-0.609900\pi$
$541$	10.5833	−	36.0432i	0.455009	−	1.54962i	0.793452	−	0.608633i	$-0.208282\pi$
$542$	−21.1017	+	8.77046i	−0.906396	+	0.376724i
$543$	3.11093	−	21.6370i	0.133503	−	0.928533i
$544$	24.8946	+	30.5137i	1.06735	+	1.30826i
$545$	0.253813	−	0.555773i	0.0108722	−	0.0238067i
$546$	1.36841	−	1.97597i	0.0585625	−	0.0845637i
$547$	9.63985	−	1.38600i	0.412170	−	0.0592611i	0.0668890	−	0.997760i	$-0.478693\pi$
$547$	9.63985	−	1.38600i	0.412170	−	0.0592611i	0.345281	+	0.938499i	$0.387784\pi$
$548$	−31.2029	+	17.1359i	−1.33292	+	0.732011i
$549$	−6.00798	+	5.20595i	−0.256414	+	0.222184i
$550$	27.2883	−	7.00001i	1.16358	−	0.298481i
$551$	−3.51909			−0.149918
$552$	9.39051	−	9.78868i	0.399687	−	0.416634i
$553$	−6.79326			−0.288879
$554$	33.5122	−	8.59657i	1.42380	−	0.365233i
$555$	−0.246951	+	0.213984i	−0.0104825	+	0.00908313i
$556$	7.44614	+	13.5587i	0.315787	+	0.575016i
$557$	−37.0837	+	5.33183i	−1.57129	+	0.225917i	−0.872210	−	0.489131i	$-0.837314\pi$
$557$	−37.0837	+	5.33183i	−1.57129	+	0.225917i	−0.699075	+	0.715048i	$0.746405\pi$
$558$	1.34753	−	1.94582i	0.0570455	−	0.0823731i
$559$	−3.02784	+	6.63004i	−0.128064	+	0.280421i
$560$	−0.231216	−	0.264250i	−0.00977068	−	0.0111666i
$561$	−3.97818	+	27.6689i	−0.167959	+	1.16818i
$562$	−28.5948	+	11.8848i	−1.20620	+	0.501330i
$563$	3.91938	−	13.3482i	0.165182	−	0.562559i	−0.834747	−	0.550634i	$-0.814386\pi$
$563$	3.91938	−	13.3482i	0.165182	−	0.562559i	0.999929	−	0.0119249i	$-0.00379592\pi$
$564$	−4.75161	+	12.8341i	−0.200079	+	0.540411i
$565$	1.96718	−	0.898381i	0.0827599	−	0.0377952i
$566$	−6.11722	+	34.1412i	−0.257126	+	1.43506i
$567$	0.291187	−	0.336048i	0.0122287	−	0.0141127i
$568$	−12.5873	−	7.40690i	−0.528150	−	0.310786i
$569$	21.2201	+	13.6373i	0.889594	+	0.571707i	0.903687	−	0.428194i	$-0.140850\pi$
$569$	21.2201	+	13.6373i	0.889594	+	0.571707i	−0.0140934	+	0.999901i	$0.504486\pi$
$570$	−0.0522974	−	0.480975i	−0.00219050	−	0.0201458i
$571$	−12.2896	−	19.1229i	−0.514302	−	0.800270i	0.482848	−	0.875704i	$-0.339602\pi$
$571$	−12.2896	−	19.1229i	−0.514302	−	0.800270i	−0.997151	+	0.0754337i	$0.975966\pi$
$572$	18.4542	+	24.5283i	0.771610	+	1.02558i
$573$	5.53027	+	18.8344i	0.231030	+	0.786817i
$574$	0.0342192	−	0.991661i	0.00142828	−	0.0413911i
$575$	−8.72688	+	22.1340i	−0.363936	+	0.923051i
$576$	7.82928	+	1.64388i	0.326220	+	0.0684950i
$577$	18.8726	−	5.54149i	0.785676	−	0.230695i	0.135801	−	0.990736i	$-0.456639\pi$
$577$	18.8726	−	5.54149i	0.785676	−	0.230695i	0.649875	+	0.760041i	$0.274821\pi$
$578$	34.6125	−	27.9615i	1.43969	−	1.16305i
$579$	−1.15470	−	1.79675i	−0.0479877	−	0.0746703i
$580$	−0.0591287	−	0.799604i	−0.00245519	−	0.0332017i
$581$	−3.07510	+	4.78494i	−0.127576	+	0.198513i
$582$	0.251722	−	0.504396i	0.0104342	−	0.0209079i
$583$	11.3400	−	13.0871i	0.469656	−	0.542012i
$584$	−34.8431	−	8.75895i	−1.44182	−	0.362448i
$585$	0.313455	+	0.686370i	0.0129598	+	0.0283779i
$586$	30.7184	+	10.1829i	1.26897	+	0.420652i
$587$	−0.648546	+	2.20874i	−0.0267684	+	0.0911646i	−0.971794	−	0.235832i	$-0.924218\pi$
$587$	−0.648546	+	2.20874i	−0.0267684	+	0.0911646i	0.945025	+	0.326997i	$0.106037\pi$
$588$	−12.7353	+	4.78506i	−0.525194	+	0.197332i
$589$	2.87076	+	0.412752i	0.118287	+	0.0170072i
$590$	2.37285	+	2.20386i	0.0976887	+	0.0907316i
$591$	−10.2108	+	22.3584i	−0.420015	+	0.919704i
$592$	4.31153	−	5.02457i	0.177203	−	0.206509i
$593$	−1.68085	−	11.6906i	−0.0690243	−	0.480075i	−0.994787	−	0.101971i	$-0.967485\pi$
$593$	−1.68085	−	11.6906i	−0.0690243	−	0.480075i	0.925763	−	0.378104i	$-0.123424\pi$
$594$	2.90352	+	4.88020i	0.119133	+	0.200237i
$595$	−0.461835	+	0.400182i	−0.0189334	+	0.0164059i
$596$	2.63131	+	11.9569i	0.107783	+	0.489775i
$597$			0.770734i			0.0315440i
$598$	−25.9190	+	0.475522i	−1.05991	+	0.0194455i
$599$	−8.87202			−0.362501			−0.181250	−	0.983437i	$-0.558014\pi$
$599$	−8.87202			−0.362501			−0.181250	+	0.983437i	$0.558014\pi$
$600$	−13.7998	+	2.54138i	−0.563376	+	0.103752i
$601$	−6.94657	−	8.01677i	−0.283357	−	0.327011i	0.596172	−	0.802857i	$-0.296688\pi$
$601$	−6.94657	−	8.01677i	−0.283357	−	0.327011i	−0.879529	+	0.475846i	$0.842142\pi$
$602$	−1.03055	+	0.613137i	−0.0420021	+	0.0249896i
$603$	−8.51283	+	1.22396i	−0.346669	+	0.0498435i
$604$	−3.54903	−	2.64343i	−0.144408	−	0.107560i
$605$	0.920031	+	0.420164i	0.0374046	+	0.0170821i
$606$	5.78902	+	5.37675i	0.235163	+	0.218415i
$607$	1.64193	−	11.4199i	0.0666439	−	0.463518i	−0.928985	−	0.370118i	$-0.879317\pi$
$607$	1.64193	−	11.4199i	0.0666439	−	0.463518i	0.995629	−	0.0934004i	$-0.0297737\pi$
$608$	2.48159	+	9.48362i	0.100642	+	0.384611i
$609$	0.866392	+	0.254396i	0.0351080	+	0.0103086i
$610$	0.698359	−	2.10671i	0.0282757	−	0.0852984i
$611$	23.7907	−	10.8648i	0.962468	−	0.439545i
$612$	2.92673	−	13.6120i	0.118306	−	0.550234i
$613$	−14.6194	−	12.6678i	−0.590474	−	0.511648i	0.307587	−	0.951520i	$-0.400479\pi$
$613$	−14.6194	−	12.6678i	−0.590474	−	0.511648i	−0.898061	+	0.439872i	$0.855024\pi$
$614$	3.62399	−	7.26168i	0.146252	−	0.293058i
$615$	0.262053	+	0.168412i	0.0105670	+	0.00679101i
$616$	0.198517	+	5.04615i	0.00799848	+	0.203315i
$617$	−14.2014	+	9.12669i	−0.571727	+	0.367427i	−0.794334	−	0.607482i	$-0.792180\pi$
$617$	−14.2014	+	9.12669i	−0.571727	+	0.367427i	0.222606	+	0.974908i	$0.428543\pi$
$618$	−12.1639	−	15.0573i	−0.489304	−	0.605692i
$619$	−0.391077	−	1.33189i	−0.0157187	−	0.0535330i	0.951260	−	0.308389i	$-0.0997900\pi$
$619$	−0.391077	−	1.33189i	−0.0157187	−	0.0535330i	−0.966979	+	0.254856i	$0.917972\pi$
$620$	−0.0455499	+	0.659225i	−0.00182933	+	0.0264751i
$621$	−4.77644	−	0.430861i	−0.191672	−	0.0172899i
$622$	−0.854082	+	24.7511i	−0.0342456	+	0.992427i
$623$	3.62012	−	1.06296i	0.145037	−	0.0425867i
$624$	−8.32773	−	12.8217i	−0.333376	−	0.513279i
$625$	20.5408	−	13.2008i	0.821633	−	0.528032i
$626$	−23.9234	+	2.60124i	−0.956171	+	0.103966i
$627$	−3.76199	+	5.85377i	−0.150239	+	0.233777i
$628$	−7.74941	−	4.20725i	−0.309235	−	0.167888i
$629$	−8.70839	−	7.54586i	−0.347226	−	0.300873i
$630$	−0.0218943	+	0.122196i	−0.000872290	+	0.00486839i
$631$	−14.2432	−	31.1882i	−0.567012	−	1.24158i	−0.948373	−	0.317157i	$-0.897272\pi$
$631$	−14.2432	−	31.1882i	−0.567012	−	1.24158i	0.381361	−	0.924426i	$-0.375455\pi$
$632$	−16.3917	+	39.9819i	−0.652028	+	1.59040i
$633$	17.7850	+	5.22215i	0.706891	+	0.207562i
$634$	8.12217	+	19.5419i	0.322572	+	0.776108i
$635$	−2.80745	−	0.403651i	−0.111410	−	0.0160184i
$636$	−6.08417	+	6.11361i	−0.241253	+	0.242420i
$637$	23.6501	+	10.8006i	0.937052	+	0.427937i
$638$	−6.56534	+	9.48029i	−0.259924	+	0.375328i
$639$	0.734856	+	5.11103i	0.0290704	+	0.202189i
$640$	−2.11316	+	0.723211i	−0.0835300	+	0.0285874i
$641$	22.0700	+	25.4701i	0.871712	+	1.00601i	0.999898	+	0.0142594i	$0.00453907\pi$
$641$	22.0700	+	25.4701i	0.871712	+	1.00601i	−0.128186	+	0.991750i	$0.540915\pi$
$642$	3.25924	+	12.7056i	0.128632	+	0.501449i
$643$			21.9137i			0.864193i	0.901827	+	0.432097i	$0.142226\pi$
$643$			21.9137i			0.864193i	−0.901827	+	0.432097i	$0.857774\pi$
$644$	−3.55023	−	2.36346i	−0.139899	−	0.0931334i
$645$		−	0.376458i		−	0.0148230i
$646$	16.5258	−	4.23922i	0.650200	−	0.166790i
$647$	−8.70923	−	10.0510i	−0.342395	−	0.395145i	0.558270	−	0.829659i	$-0.311465\pi$
$647$	−8.70923	−	10.0510i	−0.342395	−	0.395145i	−0.900665	+	0.434515i	$0.856920\pi$
$648$	−1.27520	−	2.52465i	−0.0500946	−	0.0991777i
$649$	−6.62855	−	46.1026i	−0.260193	−	1.80968i
$650$	22.0459	+	15.2674i	0.864713	+	0.598836i
$651$	−0.676936	−	0.309146i	−0.0265312	−	0.0121164i
$652$	−18.5011	−	18.4121i	−0.724561	−	0.721072i
$653$	49.5028	+	7.11743i	1.93719	+	0.278527i	0.997910	−	0.0646141i	$-0.0205817\pi$
$653$	49.5028	+	7.11743i	1.93719	+	0.278527i	0.939284	+	0.343141i	$0.111491\pi$
$654$	4.04171	−	1.67985i	0.158043	−	0.0656873i
$655$	−2.47996	−	0.728181i	−0.0968999	−	0.0284524i
$656$	−5.75388	−	2.59422i	−0.224651	−	0.101287i
$657$	5.27668	+	11.5543i	0.205863	+	0.450777i
$658$	4.23550	+	0.758892i	0.165117	+	0.0295847i
$659$	−13.9734	−	12.1080i	−0.544325	−	0.471660i	0.338760	−	0.940873i	$-0.389992\pi$
$659$	−13.9734	−	12.1080i	−0.544325	−	0.471660i	−0.883085	+	0.469212i	$0.844538\pi$
$660$	−1.39330	−	0.756439i	−0.0542340	−	0.0294443i
$661$	−15.3843	+	23.9384i	−0.598380	+	0.931098i	0.401504	+	0.915857i	$0.368488\pi$
$661$	−15.3843	+	23.9384i	−0.598380	+	0.931098i	−0.999884	+	0.0152402i	$0.995149\pi$
$662$	−1.00832	−	9.27349i	−0.0391896	−	0.360424i
$663$	−22.3844	+	14.3856i	−0.869340	+	0.558691i
$664$	20.7419	+	29.6443i	0.804941	+	1.15042i
$665$	−0.145957	+	0.0428568i	−0.00565997	+	0.00166192i
$666$	−2.33943	−	0.0807265i	−0.0906511	−	0.00312809i
$667$	−3.23347	−	9.18653i	−0.125200	−	0.355704i
$668$	−40.3836	−	2.79035i	−1.56249	−	0.107962i
$669$	2.16861	+	7.38559i	0.0838432	+	0.285544i
$670$	1.86778	−	1.50887i	0.0721587	−	0.0582929i
$671$	−26.8538	+	17.2579i	−1.03668	+	0.666233i
$672$	0.0746105	−	2.51424i	0.00287816	−	0.0969890i
$673$	12.8869	+	8.28189i	0.496752	+	0.319243i	0.764916	−	0.644130i	$-0.222780\pi$
$673$	12.8869	+	8.28189i	0.496752	+	0.319243i	−0.268164	+	0.963373i	$0.586417\pi$
$674$	13.9811	+	6.97736i	0.538533	+	0.268758i
$675$	3.74929	+	3.24878i	0.144310	+	0.125046i
$676$	−0.676524	+	3.14647i	−0.0260202	+	0.121018i
$677$	19.8356	−	9.05860i	0.762343	−	0.348150i	0.00398778	−	0.999992i	$-0.498731\pi$
$677$	19.8356	−	9.05860i	0.762343	−	0.348150i	0.758355	+	0.651842i	$0.226003\pi$
$678$	14.7053	+	4.87470i	0.564755	+	0.187212i
$679$	−0.170064	−	0.0499354i	−0.00652646	−	0.00191634i
$680$	1.24090	+	3.68376i	0.0475864	+	0.141266i
$681$	0.0920871	−	0.640480i	0.00352878	−	0.0245432i
$682$	6.46773	−	6.96366i	0.247662	−	0.266652i
$683$	4.86278	+	2.22076i	0.186069	+	0.0849749i	0.506271	−	0.862374i	$-0.331024\pi$
$683$	4.86278	+	2.22076i	0.186069	+	0.0849749i	−0.320202	+	0.947349i	$0.603751\pi$
$684$	2.07031	−	2.77957i	0.0791602	−	0.106279i
$685$	−3.47807	+	0.500072i	−0.132890	+	0.0191068i
$686$	4.43783	+	7.45905i	0.169437	+	0.284788i
$687$	−1.10256	−	1.27242i	−0.0420652	−	0.0485458i
$688$	1.12197	+	7.54480i	0.0427749	+	0.287643i
$689$	16.4835			0.627973
$690$	1.20753	−	0.578460i	0.0459698	−	0.0220216i
$691$			21.2827i			0.809632i	0.914398	+	0.404816i	$0.132664\pi$
$691$			21.2827i			0.809632i	−0.914398	+	0.404816i	$0.867336\pi$
$692$	−10.0588	−	45.7080i	−0.382377	−	1.73756i
$693$	1.34936	−	1.16923i	0.0512581	−	0.0444154i
$694$	−23.1261	+	13.7591i	−0.877855	+	0.522289i
$695$	0.217298	+	1.51134i	0.00824258	+	0.0573284i
$696$	3.58780	−	4.48533i	0.135995	−	0.170016i
$697$	−4.56323	+	9.99208i	−0.172845	+	0.378477i
$698$	30.5264	−	32.8671i	1.15544	−	1.24404i
$699$	−4.72941	−	0.679987i	−0.178883	−	0.0257195i
$700$	1.55177	+	4.12999i	0.0586514	+	0.156099i
$701$	9.59910	−	32.6915i	0.362553	−	1.23474i	−0.553216	−	0.833038i	$-0.686600\pi$
$701$	9.59910	−	32.6915i	0.362553	−	1.23474i	0.915769	−	0.401705i	$-0.131582\pi$
$702$	−1.70083	+	5.13084i	−0.0641938	+	0.193651i
$703$	−1.19156	−	2.60916i	−0.0449406	−	0.0984062i
$704$	30.1783	+	11.0077i	1.13739	+	0.414868i
$705$	−0.884620	+	1.02091i	−0.0333167	+	0.0384495i
$706$	−16.4526	−	8.21078i	−0.619202	−	0.309017i
$707$	1.34303	−	2.08980i	0.0505099	−	0.0785950i
$708$	1.71084	+	23.1359i	0.0642973	+	0.869499i
$709$	−6.61371	−	10.2911i	−0.248383	−	0.386492i	0.694566	−	0.719429i	$-0.255597\pi$
$709$	−6.61371	−	10.2911i	−0.248383	−	0.386492i	−0.942949	+	0.332938i	$0.891960\pi$
$710$	−0.905916	−	1.12140i	−0.0339984	−	0.0420854i
$711$	14.6588	−	4.30420i	0.549746	−	0.161420i
$712$	2.47904	−	23.8712i	0.0929058	−	0.894610i
$713$	1.56027	+	7.87332i	0.0584326	+	0.294858i
$714$	−4.37508	−	0.150970i	−0.163733	−	0.00564993i
$715$	0.853606	+	2.90712i	0.0319231	+	0.108720i
$716$	−1.20587	+	0.907250i	−0.0450654	+	0.0339055i
$717$	−12.5278	−	19.4937i	−0.467860	−	0.728004i
$718$	22.8697	−	2.48666i	0.853488	−	0.0928014i
$719$	34.8188	+	22.3767i	1.29852	+	0.834509i	0.993050	−	0.117692i	$-0.0375497\pi$
$719$	34.8188	+	22.3767i	1.29852	+	0.834509i	0.305471	+	0.952201i	$0.401186\pi$
$720$	0.666356	+	0.423710i	0.0248336	+	0.0157907i
$721$	−3.98555	+	4.59957i	−0.148430	+	0.171297i
$722$	−22.2685	−	3.98994i	−0.828748	−	0.148490i
$723$	9.62352	−	4.39491i	0.357903	−	0.163449i
$724$	−15.1793	+	40.9993i	−0.564135	+	1.52373i
$725$	−2.83830	+	9.66636i	−0.105412	+	0.359000i
$726$	2.78083	+	6.69068i	0.103206	+	0.248314i
$727$	0.340319	−	2.36697i	0.0126217	−	0.0877861i	−0.982537	−	0.186068i	$-0.940426\pi$
$727$	0.340319	−	2.36697i	0.0126217	−	0.0877861i	0.995159	+	0.0982818i	$0.0313347\pi$
$728$	−3.50639	+	3.28834i	−0.129956	+	0.121874i
$729$	−0.415415	+	0.909632i	−0.0153857	+	0.0336901i
$730$	−2.91542	−	2.01901i	−0.107905	−	0.0747268i
$731$	13.1402	−	1.88927i	0.486006	−	0.0698771i
$732$	13.9361	−	7.65343i	0.515094	−	0.282879i
$733$	−20.6670	+	17.9081i	−0.763353	+	0.661449i	−0.946888	−	0.321564i	$-0.895791\pi$
$733$	−20.6670	+	17.9081i	−0.763353	+	0.661449i	0.183535	+	0.983013i	$0.441246\pi$
$734$	7.75325	+	30.2247i	0.286178	+	1.11561i
$735$	−1.34287			−0.0495325
$736$	−22.4767	+	15.1921i	−0.828502	+	0.559987i
$737$	−34.5339			−1.27207
$738$	0.554475	+	2.16152i	0.0204105	+	0.0795668i
$739$	−19.3759	+	16.7893i	−0.712754	+	0.617605i	−0.933857	−	0.357646i	$-0.883580\pi$
$739$	−19.3759	+	16.7893i	−0.712754	+	0.617605i	0.221104	+	0.975250i	$0.429034\pi$
$740$	0.572829	−	0.314585i	0.0210576	−	0.0115644i
$741$	−6.55617	+	0.942636i	−0.240847	+	0.0346286i
$742$	2.22948	+	1.54397i	0.0818469	+	0.0566811i
$743$	−14.7259	+	32.2452i	−0.540240	+	1.18296i	0.420952	+	0.907083i	$0.361696\pi$
$743$	−14.7259	+	32.2452i	−0.540240	+	1.18296i	−0.961193	+	0.275878i	$0.911031\pi$
$744$	−3.45289	+	3.23817i	−0.126589	+	0.118717i
$745$	−0.171984	+	1.19618i	−0.00630101	+	0.0438245i
$746$	−16.8069	−	40.4374i	−0.615345	−	1.48052i
$747$	3.60383	−	12.2735i	0.131857	−	0.449064i
$748$	19.4109	−	52.4288i	0.709734	−	1.91699i
$749$	3.75151	−	1.71326i	0.137077	−	0.0626011i
$750$	−2.73739	−	0.490470i	−0.0999554	−	0.0179094i
$751$	2.71923	−	3.13815i	0.0992260	−	0.114513i	−0.703965	−	0.710235i	$-0.748589\pi$
$751$	2.71923	−	3.13815i	0.0992260	−	0.114513i	0.803191	+	0.595722i	$0.203134\pi$
$752$	14.6865	−	23.0970i	0.535561	−	0.842260i
$753$	−14.0712	−	9.04303i	−0.512784	−	0.329546i
$754$	−10.9125	+	1.18654i	−0.397411	+	0.0432112i
$755$	−0.236157	−	0.367468i	−0.00859465	−	0.0133735i
$756$	−0.710641	+	0.534660i	−0.0258458	+	0.0194454i
$757$	−14.3099	−	48.7349i	−0.520100	−	1.77130i	−0.629173	−	0.777266i	$-0.716606\pi$
$757$	−14.3099	−	48.7349i	−0.520100	−	1.77130i	0.109072	−	0.994034i	$-0.465212\pi$
$758$	−29.0522	−	1.00250i	−1.05522	−	0.0364125i
$759$	−18.7378	−	4.44196i	−0.680141	−	0.161233i
$760$	−0.0999504	+	0.962444i	−0.00362558	+	0.0349115i
$761$	−25.5861	+	7.51277i	−0.927497	+	0.272338i	−0.710388	−	0.703810i	$-0.751481\pi$
$761$	−25.5861	+	7.51277i	−0.927497	+	0.272338i	−0.217108	+	0.976148i	$0.569662\pi$
$762$	−12.7683	−	15.8054i	−0.462547	−	0.572570i
$763$	−0.744019	−	1.15772i	−0.0269353	−	0.0419122i
$764$	−2.89520	−	39.1521i	−0.104745	−	1.41647i
$765$	0.743010	−	1.15615i	0.0268636	−	0.0418005i
$766$	29.0561	+	14.5006i	1.04984	+	0.523929i
$767$	29.0337	−	33.5066i	1.04835	−	1.20986i
$768$	−14.6176	−	6.50583i	−0.527467	−	0.234759i
$769$	−19.6255	−	42.9737i	−0.707712	−	1.54967i	−0.830363	−	0.557223i	$-0.811867\pi$
$769$	−19.6255	−	42.9737i	−0.707712	−	1.54967i	0.122651	−	0.992450i	$-0.460860\pi$
$770$	−0.156848	+	0.473158i	−0.00565241	+	0.0170514i
$771$	−5.06345	+	17.2445i	−0.182356	+	0.621046i
$772$	1.50243	+	3.99866i	0.0540735	+	0.143915i
$773$	12.3148	+	1.77060i	0.442931	+	0.0636839i	0.360172	−	0.932886i	$-0.382718\pi$
$773$	12.3148	+	1.77060i	0.442931	+	0.0636839i	0.0827587	+	0.996570i	$0.473627\pi$
$774$	1.83528	−	1.97601i	0.0659678	−	0.0710260i
$775$	3.44915	−	7.55259i	0.123897	−	0.271297i
$776$	−0.704250	+	0.880426i	−0.0252811	+	0.0316055i
$777$	0.104743	+	0.728507i	0.00375765	+	0.0261350i
$778$	−16.5755	+	9.86177i	−0.594261	+	0.353562i
$779$	−2.06653	+	1.79066i	−0.0740412	+	0.0641571i
$780$	−0.324343	−	1.47385i	−0.0116134	−	0.0527723i
$781$			20.7339i			0.741916i
$782$	26.2510	+	39.2453i	0.938733	+	1.40341i
$783$	−2.03072			−0.0725719
$784$	26.9132	−	4.00221i	0.961185	−	0.142936i
$785$	−0.569982	−	0.657794i	−0.0203435	−	0.0234777i
$786$	−9.46716	−	15.9123i	−0.337682	−	0.567572i
$787$	32.5531	−	4.68043i	1.16039	−	0.166839i	0.464894	−	0.885366i	$-0.346093\pi$
$787$	32.5531	−	4.68043i	1.16039	−	0.166839i	0.695499	+	0.718527i	$0.255183\pi$
$788$	29.3650	−	39.4251i	1.04609	−	1.40446i
$789$	−8.97481	−	4.09866i	−0.319512	−	0.145916i
$790$	−2.90268	+	3.12526i	−0.103273	+	0.111192i
$791$	0.693222	−	4.82146i	0.0246481	−	0.171432i
$792$	−3.62560	−	10.7630i	−0.128830	−	0.382446i
$793$	−29.1545	−	8.56053i	−1.03531	−	0.303993i
$794$	−41.2959	−	13.6893i	−1.46554	−	0.485814i
$795$	−0.774430	+	0.353670i	−0.0274662	+	0.0125434i
$796$	0.324026	−	1.50703i	0.0114848	−	0.0534151i
$797$	−27.1292	−	23.5075i	−0.960964	−	0.832680i	0.0249917	−	0.999688i	$-0.492044\pi$
$797$	−27.1292	−	23.5075i	−0.960964	−	0.832680i	−0.985956	+	0.167008i	$0.946590\pi$
$798$	−0.975051	−	0.486605i	−0.0345164	−	0.0172256i
$799$	−40.0739	−	25.7539i	−1.41771	−	0.911108i
$800$	28.0515	+	0.832432i	0.991769	+	0.0294309i
$801$	−7.13814	+	4.58740i	−0.252214	+	0.162088i
$802$	18.4973	−	14.9430i	0.653164	−	0.527654i
$803$	14.3696	+	48.9382i	0.507091	+	1.72699i
$804$	17.1598	+	1.18568i	0.605180	+	0.0418156i
$805$	−0.245988	−	0.341640i	−0.00866993	−	0.0120412i
$806$	9.04125	+	0.311986i	0.318464	+	0.0109892i
$807$	11.9563	−	3.51068i	0.420881	−	0.123582i
$808$	−9.05891	−	12.9470i	−0.318691	−	0.455474i
$809$	−35.8134	+	23.0159i	−1.25913	+	0.809195i	−0.988165	−	0.153393i	$-0.950980\pi$
$809$	−35.8134	+	23.0159i	−1.25913	+	0.809195i	−0.270967	+	0.962589i	$0.587344\pi$
$810$	−0.0301786	−	0.277551i	−0.00106037	−	0.00975213i
$811$	8.65177	−	13.4624i	0.303805	−	0.472729i	−0.655463	−	0.755227i	$-0.727527\pi$
$811$	8.65177	−	13.4624i	0.303805	−	0.472729i	0.959268	+	0.282498i	$0.0911630\pi$
$812$	−1.58712	−	0.861666i	−0.0556969	−	0.0302385i
$813$	−12.2119	−	10.5817i	−0.428290	−	0.371115i
$814$	−9.25199	−	1.65772i	−0.324282	−	0.0581030i
$815$	−1.07029	−	2.34360i	−0.0374905	−	0.0820927i
$816$	−11.4453	+	25.3854i	−0.400667	+	0.888665i
$817$	3.17073	+	0.931011i	0.110930	+	0.0325720i
$818$	14.5904	−	6.06419i	0.510142	−	0.212029i
$819$	1.68226	+	0.241872i	0.0587829	+	0.00845171i
$820$	−0.441594	−	0.439468i	−0.0154211	−	0.0153469i
$821$	21.4773	+	9.80834i	0.749562	+	0.342314i	0.753298	−	0.657679i	$-0.228462\pi$
$821$	21.4773	+	9.80834i	0.749562	+	0.342314i	−0.00373575	+	0.999993i	$0.501189\pi$
$822$	−20.6941	−	14.3312i	−0.721790	−	0.499858i
$823$	−2.87236	−	19.9777i	−0.100124	−	0.696379i	−0.976621	−	0.214970i	$-0.931035\pi$
$823$	−2.87236	−	19.9777i	−0.100124	−	0.696379i	0.876496	−	0.481408i	$-0.159875\pi$
$824$	17.4540	+	34.5556i	0.608039	+	1.20380i
$825$	13.0451	+	15.0549i	0.454173	+	0.524144i
$826$	7.06545	−	1.81243i	0.245838	−	0.0630626i
$827$			37.1298i			1.29113i	0.763705	+	0.645566i	$0.223378\pi$
$827$			37.1298i			1.29113i	−0.763705	+	0.645566i	$0.776622\pi$
$828$	9.15830	+	2.85054i	0.318273	+	0.0990633i
$829$		−	9.07324i		−	0.315127i	−0.987509	−	0.157563i	$-0.949636\pi$
$829$		−	9.07324i		−	0.315127i	0.987509	−	0.157563i	$-0.0503639\pi$
$830$	0.887370	+	3.45926i	0.0308011	+	0.120073i
$831$	16.0205	+	18.4886i	0.555744	+	0.641363i
$832$	10.8929	+	28.5715i	0.377644	+	0.990540i
$833$	−6.73924	−	46.8725i	−0.233501	−	1.62403i
$834$	−6.22738	+	8.99228i	−0.215637	+	0.311377i
$835$	−3.63458	−	1.65986i	−0.125780	−	0.0574417i
$836$	9.81687	−	9.86437i	0.339524	−	0.341166i
$837$	1.65659	+	0.238182i	0.0572602	+	0.00823277i
$838$	−6.71322	−	16.1520i	−0.231904	−	0.557961i
$839$	49.1282	+	14.4254i	1.69610	+	0.498019i	0.979834	−	0.199813i	$-0.0640336\pi$
$839$	49.1282	+	14.4254i	1.69610	+	0.498019i	0.716262	+	0.697832i	$0.245852\pi$
$840$	0.0941829	−	0.229726i	0.00324962	−	0.00792631i
$841$	10.3339	+	22.6282i	0.356343	+	0.780282i
$842$	−1.84050	+	10.2721i	−0.0634277	+	0.354000i
$843$	−16.5482	−	14.3391i	−0.569952	−	0.493866i
$844$	−32.5798	−	17.6880i	−1.12144	−	0.608846i
$845$	−0.171749	+	0.267247i	−0.00590836	+	0.00919359i
$846$	−9.62035	+	1.04604i	−0.330755	+	0.0359636i
$847$	1.91649	−	1.23165i	0.0658515	−	0.0423202i
$848$	14.4667	−	9.39616i	0.496789	−	0.322666i
$849$	−23.5325	+	6.90975i	−0.807632	+	0.237142i
$850$	1.68438	−	48.8129i	0.0577738	−	1.67427i
$851$	5.71632	−	5.50794i	0.195953	−	0.188810i
$852$	0.711871	−	10.3026i	0.0243883	−	0.352962i
$853$	13.1499	+	44.7846i	0.450245	+	1.53340i	0.802012	+	0.597308i	$0.203763\pi$
$853$	13.1499	+	44.7846i	0.450245	+	1.53340i	−0.351767	+	0.936088i	$0.614419\pi$
$854$	−3.14145	−	3.88869i	−0.107498	−	0.133068i
$855$	0.287797	−	0.184956i	0.00984246	−	0.00632537i
$856$	−1.03125	−	26.2136i	−0.0352474	−	0.895963i
$857$	−26.9557	−	17.3234i	−0.920789	−	0.591755i	−0.00790285	−	0.999969i	$-0.502516\pi$
$857$	−26.9557	−	17.3234i	−0.920789	−	0.591755i	−0.912887	+	0.408213i	$0.866152\pi$
$858$	−9.69202	+	19.4207i	−0.330880	+	0.663012i
$859$	−37.4386	−	32.4407i	−1.27739	−	1.10686i	−0.988774	−	0.149417i	$-0.952260\pi$
$859$	−37.4386	−	32.4407i	−1.27739	−	1.10686i	−0.288614	−	0.957446i	$-0.593194\pi$
$860$	−0.158268	+	0.736094i	−0.00539689	+	0.0251006i
$861$	0.638223	−	0.291467i	0.0217506	−	0.00993316i
$862$	−4.72956	+	14.2675i	−0.161090	+	0.485953i
$863$	−22.4956	−	6.60531i	−0.765759	−	0.224847i	−0.124550	−	0.992213i	$-0.539749\pi$
$863$	−22.4956	−	6.60531i	−0.765759	−	0.224847i	−0.641209	+	0.767366i	$0.721567\pi$
$864$	1.43202	+	5.47260i	0.0487184	+	0.186182i
$865$	0.657448	−	4.57265i	0.0223539	−	0.155475i
$866$	7.44610	+	6.91581i	0.253029	+	0.235009i
$867$	28.6200	+	13.0703i	0.971986	+	0.443891i
$868$	1.19365	+	0.889071i	0.0405152	+	0.0301770i
$869$	60.7212	−	8.73039i	2.05983	−	0.296158i
$870$	0.487235	−	0.289885i	0.0165188	−	0.00982803i
$871$	−21.5268	−	24.8432i	−0.729407	−	0.841781i
$872$	−8.60904	+	1.58544i	−0.291539	+	0.0536899i
$873$	0.398610			0.0134909
$874$	1.88579	+	11.6010i	0.0637877	+	0.392410i
$875$			0.874393i			0.0295599i
$876$	−5.45998	−	24.8107i	−0.184476	−	0.838276i
$877$	−25.7376	+	22.3018i	−0.869099	+	0.753078i	−0.970330	−	0.241785i	$-0.922267\pi$
$877$	−25.7376	+	22.3018i	−0.869099	+	0.753078i	0.101231	+	0.994863i	$0.467722\pi$
$878$	−23.9594	−	40.2707i	−0.808592	−	1.35907i
$879$	3.25667	+	22.6506i	0.109845	+	0.763986i
$880$	2.40632	+	2.06484i	0.0811170	+	0.0696056i
$881$	12.3521	−	27.0473i	0.416152	−	0.911245i	−0.579222	−	0.815170i	$-0.696644\pi$
$881$	12.3521	−	27.0473i	0.416152	−	0.911245i	0.995374	−	0.0960755i	$-0.0306290\pi$
$882$	−7.04864	−	6.54666i	−0.237340	−	0.220437i
$883$	34.1252	+	4.90646i	1.14840	+	0.165115i	0.690123	−	0.723692i	$-0.257557\pi$
$883$	34.1252	+	4.90646i	1.14840	+	0.165115i	0.458280	+	0.888808i	$0.348466\pi$
$884$	49.8165	−	18.7177i	1.67551	−	0.629543i
$885$	−0.645144	+	2.19716i	−0.0216863	+	0.0738566i
$886$	9.50567	+	3.15106i	0.319349	+	0.105862i
$887$	−11.5973	−	25.3945i	−0.389399	−	0.852664i	−0.998236	−	0.0593693i	$-0.981091\pi$
$887$	−11.5973	−	25.3945i	−0.389399	−	0.852664i	0.608837	−	0.793295i	$-0.291636\pi$
$888$	4.54038	+	1.14137i	0.152365	+	0.0383020i
$889$	−4.18358	+	4.82811i	−0.140313	+	0.161930i
$890$	1.05782	−	2.11964i	0.0354581	−	0.0710504i
$891$	−2.17089	+	3.37796i	−0.0727274	+	0.113166i
$892$	−1.13531	−	15.3529i	−0.0380129	−	0.514052i
$893$	−6.41088	−	9.97552i	−0.214532	−	0.333818i
$894$	−6.73424	+	5.44021i	−0.225227	+	0.181948i
$895$	−0.142920	+	0.0419652i	−0.00477730	+	0.00140274i
$896$	−1.20291	+	4.88476i	−0.0401863	+	0.163188i
$897$	−8.48479	−	16.2487i	−0.283299	−	0.542528i
$898$	1.33813	−	38.7787i	0.0446541	−	1.29406i
$899$	0.957514	+	3.26099i	0.0319349	+	0.108760i
$900$	−5.96522	−	7.92864i	−0.198841	−	0.264288i
$901$	−16.2313	−	25.2563i	−0.540742	−	0.841411i
$902$	0.968572	+	8.90789i	0.0322499	+	0.296600i
$903$	−0.713325	−	0.458426i	−0.0237380	−	0.0152555i
$904$	−26.7041	−	15.7139i	−0.888167	−	0.522636i
$905$	−2.82598	+	3.26135i	−0.0939387	+	0.108411i
$906$	0.551877	−	3.08011i	0.0183349	−	0.102330i
$907$	19.9038	−	9.08978i	0.660896	−	0.301821i	−0.0565861	−	0.998398i	$-0.518022\pi$
$907$	19.9038	−	9.08978i	0.660896	−	0.301821i	0.717483	+	0.696576i	$0.245294\pi$
$908$	−0.449325	+	1.21362i	−0.0149114	+	0.0402755i
$909$	−1.57395	+	5.36039i	−0.0522047	+	0.177793i
$910$	−0.438156	+	0.182110i	−0.0145247	+	0.00603688i
$911$	−3.50436	+	24.3734i	−0.116105	+	0.807526i	0.845674	+	0.533699i	$0.179199\pi$
$911$	−3.50436	+	24.3734i	−0.116105	+	0.807526i	−0.961779	+	0.273827i	$0.911710\pi$
$912$	−5.21667	+	4.56454i	−0.172741	+	0.151147i
$913$	21.3372	−	46.7219i	0.706158	−	1.54627i
$914$	15.0406	−	21.7185i	0.497499	−	0.718384i
$915$	1.55341	−	0.223347i	0.0513542	−	0.00738363i
$916$	1.62091	+	2.95151i	0.0535562	+	0.0975206i
$917$	−4.39971	+	3.81237i	−0.145291	+	0.125895i
$918$	9.53637	−	2.44627i	0.314747	−	0.0807390i
$919$	−2.68875			−0.0886938			−0.0443469	−	0.999016i	$-0.514121\pi$
$919$	−2.68875			−0.0886938			−0.0443469	+	0.999016i	$0.514121\pi$
$920$	−2.60429	+	0.623410i	−0.0858608	+	0.0205532i
$921$	5.73870			0.189097
$922$	−14.9351	+	3.83117i	−0.491862	+	0.126173i
$923$	−14.9157	+	12.9245i	−0.490955	+	0.425415i
$924$	−3.12999	+	1.71892i	−0.102969	+	0.0565484i
$925$	−8.12797	+	1.16863i	−0.267246	+	0.0384242i
$926$	9.42078	−	13.6035i	0.309586	−	0.447039i
$927$	5.68589	−	12.4504i	0.186749	−	0.408924i
$928$	−8.90097	+	7.26187i	−0.292189	+	0.238383i
$929$	1.54987	−	10.7796i	0.0508495	−	0.353666i	−0.948473	−	0.316858i	$-0.897372\pi$
$929$	1.54987	−	10.7796i	0.0508495	−	0.353666i	0.999322	−	0.0368077i	$-0.0117189\pi$
$930$	−0.431470	+	0.179331i	−0.0141485	+	0.00588050i
$931$	3.32103	−	11.3104i	0.108842	−	0.370683i
$932$	8.96161	+	3.31789i	0.293547	+	0.108681i
$933$	−15.9295	+	7.27477i	−0.521509	+	0.238165i
$934$	6.73160	−	37.5701i	0.220265	−	1.22933i
$935$	3.61379	−	4.17053i	0.118184	−	0.136391i
$936$	5.48274	−	9.31736i	0.179209	−	0.304547i
$937$	−38.8130	−	24.9436i	−1.26796	−	0.814871i	−0.278611	−	0.960404i	$-0.589874\pi$
$937$	−38.8130	−	24.9436i	−1.26796	−	0.814871i	−0.989353	+	0.145533i	$0.953510\pi$
$938$	−0.584602	−	5.37654i	−0.0190879	−	0.175550i
$939$	−9.19959	−	14.3148i	−0.300217	−	0.467147i
$940$	2.15891	−	1.62429i	0.0704159	−	0.0529783i
$941$	9.65302	+	32.8752i	0.314679	+	1.07170i	0.953262	+	0.302146i	$0.0977030\pi$
$941$	9.65302	+	32.8752i	0.314679	+	1.07170i	−0.638582	+	0.769553i	$0.720479\pi$
$942$	0.215028	−	6.23145i	0.00700599	−	0.203032i
$943$	−6.57330	−	3.74933i	−0.214056	−	0.122095i
$944$	6.38139	−	45.9572i	0.207696	−	1.49578i
$945$	−0.0842256	+	0.0247309i	−0.00273986	+	0.000804495i
$946$	8.42355	−	6.80491i	0.273873	−	0.221247i
$947$	−1.06889	−	1.66322i	−0.0347341	−	0.0540473i	0.823452	−	0.567385i	$-0.192045\pi$
$947$	−1.06889	−	1.66322i	−0.0347341	−	0.0540473i	−0.858186	+	0.513338i	$0.828409\pi$
$948$	−30.4720	+	2.25333i	−0.989685	+	0.0731848i
$949$	−26.2482	+	40.8431i	−0.852054	+	1.32582i
$950$	5.42907	−	10.8787i	0.176142	−	0.352951i
$951$	−9.79948	+	11.3092i	−0.317770	+	0.366726i
$952$	8.49118	+	2.13453i	0.275201	+	0.0691807i
$953$	23.7779	+	52.0664i	0.770243	+	1.68660i	0.726117	+	0.687572i	$0.241323\pi$
$953$	23.7779	+	52.0664i	0.770243	+	1.68660i	0.0441268	+	0.999026i	$0.485949\pi$
$954$	−5.78912	−	1.91905i	−0.187430	−	0.0621315i
$955$	1.09176	−	3.71818i	0.0353284	−	0.120318i
$956$	16.3004	+	43.3831i	0.527194	+	1.40311i
$957$	−8.07113	−	1.16045i	−0.260903	−	0.0375121i
$958$	−8.30398	−	7.71260i	−0.268290	−	0.249183i
$959$	−3.28782	+	7.19932i	−0.106169	+	0.232478i
$960$	−1.12480	−	1.10863i	−0.0363028	−	0.0357809i
$961$	4.01313	+	27.9119i	0.129456	+	0.900385i
$962$	−4.57471	−	7.68911i	−0.147495	−	0.247907i
$963$	−7.00964	+	6.07389i	−0.225882	+	0.195728i
$964$	−20.6647	+	4.54759i	−0.665565	+	0.146468i
$965$			0.421638i			0.0135730i
$966$	0.374364	−	2.99247i	0.0120450	−	0.0962812i
$967$	34.5613			1.11142			0.555709	−	0.831377i	$-0.312447\pi$
$967$	34.5613			1.11142			0.555709	+	0.831377i	$0.312447\pi$
$968$	−2.62455	−	14.2515i	−0.0843564	−	0.458060i
$969$	7.90016	+	9.11727i	0.253790	+	0.292889i
$970$	−0.0956394	+	0.0569016i	−0.00307079	+	0.00182700i
$971$	−25.4234	+	3.65534i	−0.815877	+	0.117305i	−0.537605	−	0.843197i	$-0.680671\pi$
$971$	−25.4234	+	3.65534i	−0.815877	+	0.117305i	−0.278272	+	0.960502i	$0.589762\pi$
$972$	1.19469	−	1.60397i	0.0383196	−	0.0514474i
$973$	3.12834	+	1.42867i	0.100290	+	0.0458010i
$974$	18.7308	+	17.3969i	0.600174	+	0.557431i
$975$	−2.69858	+	18.7690i	−0.0864236	+	0.601090i
$976$	−30.4671	+	9.10592i	−0.975229	+	0.291473i
$977$	−17.4809	−	5.13287i	−0.559265	−	0.164215i	−0.0101300	−	0.999949i	$-0.503225\pi$
$977$	−17.4809	−	5.13287i	−0.559265	−	0.164215i	−0.549135	+	0.835734i	$0.685043\pi$
$978$	5.80747	−	17.5192i	0.185702	−	0.560202i
$979$	−30.9922	+	14.1536i	−0.990514	+	0.452353i
$980$	2.62573	+	0.564560i	0.0838760	+	0.0180342i
$981$	2.33900	+	2.02676i	0.0746785	+	0.0647093i
$982$	−21.3449	+	42.7705i	−0.681142	+	1.36486i
$983$	27.5686	+	17.7172i	0.879301	+	0.565092i	0.900584	−	0.434681i	$-0.143139\pi$
$983$	27.5686	+	17.7172i	0.879301	+	0.565092i	−0.0212835	+	0.999773i	$0.506775\pi$
$984$	−0.175441	−	4.45957i	−0.00559284	−	0.142166i
$985$	4.08209	−	2.62340i	0.130066	−	0.0835884i
$986$	12.5636	+	15.5520i	0.400105	+	0.495276i
$987$	0.857212	+	2.91940i	0.0272854	+	0.0929254i
$988$	13.2157	+	0.913152i	0.420447	+	0.0290512i
$989$	0.482995	+	9.13261i	0.0153583	+	0.290400i
$990$	0.0386607	−	1.12038i	0.00122872	−	0.0356079i
$991$	3.88893	−	1.14189i	0.123536	−	0.0362734i	−0.219380	−	0.975639i	$-0.570404\pi$
$991$	3.88893	−	1.14189i	0.123536	−	0.0362734i	0.342916	+	0.939366i	$0.388585\pi$
$992$	8.11286	−	4.88000i	0.257584	−	0.154940i
$993$	5.54890	−	3.56606i	0.176089	−	0.113166i
$994$	−3.22803	+	0.350990i	−0.102387	+	0.0111327i
$995$	0.0822607	−	0.128000i	0.00260784	−	0.00405788i
$996$	−12.2065	+	22.4835i	−0.386779	+	0.712416i
$997$	−15.9419	−	13.8138i	−0.504886	−	0.437486i	0.364804	−	0.931084i	$-0.381136\pi$
$997$	−15.9419	−	13.8138i	−0.504886	−	0.437486i	−0.869690	+	0.493598i	$0.835681\pi$
$998$	−1.24379	+	6.94179i	−0.0393714	+	0.219738i
$999$	−0.687600	−	1.50563i	−0.0217547	−	0.0476361i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	552.2.bb.a.469.21	yes	480
8.5	even	2	inner	552.2.bb.a.469.28	yes	480
23.18	even	11	inner	552.2.bb.a.133.28	yes	480
184.133	even	22	inner	552.2.bb.a.133.21	✓	480

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
552.2.bb.a.133.21	✓	480	184.133	even	22	inner
552.2.bb.a.133.28	yes	480	23.18	even	11	inner
552.2.bb.a.469.21	yes	480	1.1	even	1	trivial
552.2.bb.a.469.28	yes	480	8.5	even	2	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:	\( N \)	\(=\)	\( 552 = 2^{3} \cdot 3 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	552.bb (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.351397 - 1.36986i) q^{2} +(0.755750 - 0.654861i) q^{3} +(-1.75304 + 0.962732i) q^{4} +(-0.195405 + 0.0280950i) q^{5} +(-1.16264 - 0.805156i) q^{6} +(-0.184716 + 0.404472i) q^{7} +(1.93482 + 2.06312i) q^{8} +(0.142315 - 0.989821i) q^{9} +O(q^{10})\)	\(q+(-0.351397 - 1.36986i) q^{2} +(0.755750 - 0.654861i) q^{3} +(-1.75304 + 0.962732i) q^{4} +(-0.195405 + 0.0280950i) q^{5} +(-1.16264 - 0.805156i) q^{6} +(-0.184716 + 0.404472i) q^{7} +(1.93482 + 2.06312i) q^{8} +(0.142315 - 0.989821i) q^{9} +(0.107151 + 0.257806i) q^{10} +(1.13127 - 3.85274i) q^{11} +(-0.694404 + 1.87558i) q^{12} +(3.47679 - 1.58780i) q^{13} +(0.618980 + 0.110905i) q^{14} +(-0.129279 + 0.149196i) q^{15} +(2.14630 - 3.37541i) q^{16} +(-5.85643 - 3.76370i) q^{17} +(-1.40593 + 0.152869i) q^{18} +(-0.936892 - 1.45783i) q^{19} +(0.315505 - 0.237374i) q^{20} +(0.125274 + 0.426643i) q^{21} +(-5.67525 - 0.195835i) q^{22} +(2.94480 - 3.78525i) q^{23} +(2.81330 + 0.292163i) q^{24} +(-4.76007 + 1.39768i) q^{25} +(-3.39680 - 4.20478i) q^{26} +(-0.540641 - 0.841254i) q^{27} +(-0.0655832 - 0.886888i) q^{28} +(1.09789 - 1.70835i) q^{29} +(0.249806 + 0.124667i) q^{30} +(-1.09599 + 1.26484i) q^{31} +(-5.37805 - 1.75402i) q^{32} +(-1.66805 - 3.65253i) q^{33} +(-3.09781 + 9.34506i) q^{34} +(0.0247309 - 0.0842256i) q^{35} +(0.703449 + 1.87221i) q^{36} +(1.63836 + 0.235561i) q^{37} +(-1.66781 + 1.79569i) q^{38} +(1.58780 - 3.47679i) q^{39} +(-0.436038 - 0.348786i) q^{40} +(-0.224561 - 1.56185i) q^{41} +(0.540421 - 0.321529i) q^{42} +(-1.44117 + 1.24878i) q^{43} +(1.72600 + 7.84312i) q^{44} +0.197415i q^{45} +(-6.22007 - 2.70384i) q^{46} +6.84271 q^{47} +(-0.588363 - 3.95649i) q^{48} +(4.45455 + 5.14082i) q^{49} +(3.58731 + 6.02949i) q^{50} +(-6.89070 + 0.990733i) q^{51} +(-4.56633 + 6.13069i) q^{52} +(3.92286 + 1.79151i) q^{53} +(-0.962421 + 1.03622i) q^{54} +(-0.112813 + 0.784629i) q^{55} +(-1.19187 + 0.401490i) q^{56} +(-1.66273 - 0.488222i) q^{57} +(-2.72600 - 0.903646i) q^{58} +(10.5513 - 4.81861i) q^{59} +(0.0829957 - 0.386008i) q^{60} +(-6.00798 - 5.20595i) q^{61} +(2.11779 + 1.05690i) q^{62} +(0.374067 + 0.240399i) q^{63} +(-0.512926 + 7.98354i) q^{64} +(-0.634774 + 0.407945i) q^{65} +(-4.41731 + 3.56849i) q^{66} +(-2.42300 - 8.25199i) q^{67} +(13.8900 + 0.959744i) q^{68} +(-0.253282 - 4.78914i) q^{69} +(-0.124068 - 0.00428120i) q^{70} +(-4.95443 + 1.45475i) q^{71} +(2.31747 - 1.62152i) q^{72} +(-10.6858 + 6.86732i) q^{73} +(-0.253031 - 2.32711i) q^{74} +(-2.68213 + 4.17348i) q^{75} +(3.04591 + 1.65366i) q^{76} +(1.34936 + 1.16923i) q^{77} +(-5.32067 - 0.953327i) q^{78} +(6.34655 + 13.8970i) q^{79} +(-0.324565 + 0.719874i) q^{80} +(-0.959493 - 0.281733i) q^{81} +(-2.06061 + 0.856449i) q^{82} +(12.6615 + 1.82044i) q^{83} +(-0.630353 - 0.627318i) q^{84} +(1.25012 + 0.570910i) q^{85} +(2.21708 + 1.53538i) q^{86} +(-0.289001 - 2.01005i) q^{87} +(10.1375 - 5.12043i) q^{88} +(-5.55657 - 6.41263i) q^{89} +(0.270431 - 0.0693710i) q^{90} +1.69956i q^{91} +(-1.51817 + 9.47075i) q^{92} +1.67363i q^{93} +(-2.40451 - 9.37356i) q^{94} +(0.224031 + 0.258546i) q^{95} +(-5.21310 + 2.19628i) q^{96} +(0.0567281 + 0.394553i) q^{97} +(5.47690 - 7.90858i) q^{98} +(-3.65253 - 1.66805i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 480 q + 4 q^{2} + 4 q^{6} + 8 q^{7} + 4 q^{8} + 48 q^{9}+O(q^{10}) \) 480 * q + 4 * q^2 + 4 * q^6 + 8 * q^7 + 4 * q^8 + 48 * q^9	\( 480 q + 4 q^{2} + 4 q^{6} + 8 q^{7} + 4 q^{8} + 48 q^{9} - 4 q^{10} - 4 q^{14} - 8 q^{15} - 8 q^{16} - 4 q^{18} + 20 q^{20} + 20 q^{22} - 8 q^{23} - 4 q^{24} + 48 q^{25} + 16 q^{30} + 16 q^{31} + 4 q^{32} + 6 q^{34} - 22 q^{36} + 90 q^{38} - 74 q^{40} + 90 q^{42} - 130 q^{44} + 96 q^{46} - 88 q^{48} - 48 q^{49} + 142 q^{50} - 142 q^{52} + 18 q^{54} - 82 q^{56} + 22 q^{58} + 2 q^{60} - 40 q^{62} - 8 q^{63} + 16 q^{66} - 44 q^{68} + 16 q^{71} - 4 q^{72} + 10 q^{74} - 138 q^{76} - 40 q^{79} - 170 q^{80} - 48 q^{81} - 124 q^{82} - 8 q^{84} - 216 q^{86} - 108 q^{88} + 4 q^{90} - 198 q^{92} - 238 q^{94} + 80 q^{95} + 4 q^{96} - 132 q^{98}+O(q^{100}) \) 480 * q + 4 * q^2 + 4 * q^6 + 8 * q^7 + 4 * q^8 + 48 * q^9 - 4 * q^10 - 4 * q^14 - 8 * q^15 - 8 * q^16 - 4 * q^18 + 20 * q^20 + 20 * q^22 - 8 * q^23 - 4 * q^24 + 48 * q^25 + 16 * q^30 + 16 * q^31 + 4 * q^32 + 6 * q^34 - 22 * q^36 + 90 * q^38 - 74 * q^40 + 90 * q^42 - 130 * q^44 + 96 * q^46 - 88 * q^48 - 48 * q^49 + 142 * q^50 - 142 * q^52 + 18 * q^54 - 82 * q^56 + 22 * q^58 + 2 * q^60 - 40 * q^62 - 8 * q^63 + 16 * q^66 - 44 * q^68 + 16 * q^71 - 4 * q^72 + 10 * q^74 - 138 * q^76 - 40 * q^79 - 170 * q^80 - 48 * q^81 - 124 * q^82 - 8 * q^84 - 216 * q^86 - 108 * q^88 + 4 * q^90 - 198 * q^92 - 238 * q^94 + 80 * q^95 + 4 * q^96 - 132 * q^98

Introduction

L-functions

Modular forms

Varieties

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