LMFDB - Embedded newform 483.2.bf.a.10.20

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [483,2,Mod(10,483)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("483.10"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(483, base_ring=CyclotomicField(66)) chi = DirichletCharacter(H, H._module([0, 11, 9])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 483 = 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	483.bf (of order $66$, degree $20$, minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

gp:f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$3.85677441763$
Analytic rank:	$0$
Dimension:	$640$
Relative dimension:	$32$ over $\Q(\zeta_{66})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label			10.20
Character	$\chi$	$=$	483.10
Dual form			483.2.bf.a.145.20

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.114790 - 0.331663i) q^{2} +(0.458227 + 0.888835i) q^{3} +(1.47528 + 1.16017i) q^{4} +(0.530378 - 0.0506450i) q^{5} +(0.347394 - 0.0499477i) q^{6} +(0.390363 - 2.61680i) q^{7} +(1.14464 - 0.735614i) q^{8} +(-0.580057 + 0.814576i) q^{9} +(0.0440849 - 0.181721i) q^{10} +(3.27701 - 1.13418i) q^{11} +(-0.355191 + 1.84291i) q^{12} +(-1.53444 - 5.22581i) q^{13} +(-0.823085 - 0.429850i) q^{14} +(0.288049 + 0.448212i) q^{15} +(0.772372 + 3.18376i) q^{16} +(4.87255 + 1.95068i) q^{17} +(0.203580 + 0.285888i) q^{18} +(-0.705211 + 0.282324i) q^{19} +(0.841215 + 0.540616i) q^{20} +(2.50478 - 0.852116i) q^{21} -1.21706i q^{22} +(-3.61209 + 3.15480i) q^{23} +(1.17834 + 0.680317i) q^{24} +(-4.63091 + 0.892534i) q^{25} +(-1.90935 - 0.0909534i) q^{26} +(-0.989821 - 0.142315i) q^{27} +(3.61184 - 3.40762i) q^{28} +(1.32102 + 9.18791i) q^{29} +(0.181721 - 0.0440849i) q^{30} +(-5.85279 + 0.278803i) q^{31} +(3.85354 + 0.367969i) q^{32} +(2.50971 + 2.39301i) q^{33} +(1.20629 - 1.39213i) q^{34} +(0.0745126 - 1.40766i) q^{35} +(-1.80080 + 0.528762i) q^{36} +(1.19470 + 0.850745i) q^{37} +(0.0126855 + 0.266300i) q^{38} +(3.94177 - 3.75847i) q^{39} +(0.569836 - 0.448124i) q^{40} +(-0.252330 - 0.115235i) q^{41} +(0.00490688 - 0.928556i) q^{42} +(-1.75952 + 2.73787i) q^{43} +(6.15036 + 2.12866i) q^{44} +(-0.266395 + 0.461411i) q^{45} +(0.631700 + 1.56014i) q^{46} +(3.80333 - 2.19586i) q^{47} +(-2.47592 + 2.14540i) q^{48} +(-6.69523 - 2.04300i) q^{49} +(-0.235560 + 1.63836i) q^{50} +(0.498903 + 5.22475i) q^{51} +(3.79913 - 9.48976i) q^{52} +(-7.74517 - 8.12290i) q^{53} +(-0.160822 + 0.311951i) q^{54} +(1.68061 - 0.767511i) q^{55} +(-1.47813 - 3.28244i) q^{56} +(-0.574086 - 0.497448i) q^{57} +(3.19893 + 0.616543i) q^{58} +(1.78232 + 0.432385i) q^{59} +(-0.0950517 + 0.995426i) q^{60} +(-6.19347 - 3.19296i) q^{61} +(-0.579372 + 1.97316i) q^{62} +(1.90515 + 1.83587i) q^{63} +(-2.15750 + 4.72427i) q^{64} +(-1.07849 - 2.69395i) q^{65} +(1.08176 - 0.557687i) q^{66} +(0.663668 + 3.44344i) q^{67} +(4.92527 + 8.53081i) q^{68} +(-4.45926 - 1.76494i) q^{69} +(-0.458316 - 0.186298i) q^{70} +(-4.66663 - 5.38558i) q^{71} +(-0.0647415 + 1.35909i) q^{72} +(9.94741 - 12.6492i) q^{73} +(0.419301 - 0.298583i) q^{74} +(-2.91532 - 3.70713i) q^{75} +(-1.36793 - 0.401661i) q^{76} +(-1.68870 - 9.01800i) q^{77} +(-0.794071 - 1.73877i) q^{78} +(8.92525 - 9.36053i) q^{79} +(0.570891 + 1.64948i) q^{80} +(-0.327068 - 0.945001i) q^{81} +(-0.0671843 + 0.0704608i) q^{82} +(-1.76265 - 3.85967i) q^{83} +(4.68385 + 1.64886i) q^{84} +(2.68309 + 0.787826i) q^{85} +(0.706076 + 0.897848i) q^{86} +(-7.56121 + 5.38431i) q^{87} +(2.91667 - 3.70884i) q^{88} +(-0.703445 + 14.7671i) q^{89} +(0.122453 + 0.141319i) q^{90} +(-14.2739 + 1.97534i) q^{91} +(-8.98898 + 0.463561i) q^{92} +(-2.92971 - 5.07441i) q^{93} +(-0.291701 - 1.51349i) q^{94} +(-0.359730 + 0.185454i) q^{95} +(1.43873 + 3.59378i) q^{96} +(-1.63139 + 3.57223i) q^{97} +(-1.44613 + 1.98605i) q^{98} +(-0.976973 + 3.32726i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 640 q - 4 q^{2} + 36 q^{4} + 24 q^{8} - 32 q^{9} + 4 q^{18} - 28 q^{23} + 56 q^{25} - 84 q^{26} - 176 q^{28} - 24 q^{29} + 12 q^{31} + 36 q^{32} - 76 q^{35} + 28 q^{36} + 44 q^{37} - 110 q^{42} - 88 q^{43}+ \cdots - 44 q^{99}+O(q^{100}) $ 640 * q - 4 * q^2 + 36 * q^4 + 24 * q^8 - 32 * q^9 + 4 * q^18 - 28 * q^23 + 56 * q^25 - 84 * q^26 - 176 * q^28 - 24 * q^29 + 12 * q^31 + 36 * q^32 - 76 * q^35 + 28 * q^36 + 44 * q^37 - 110 * q^42 - 88 * q^43 + 154 * q^44 + 8 * q^46 + 12 * q^47 - 8 * q^49 - 212 * q^50 + 44 * q^51 + 108 * q^52 - 110 * q^56 - 88 * q^57 + 2 * q^58 - 36 * q^59 - 168 * q^64 - 48 * q^70 + 16 * q^71 + 12 * q^72 - 48 * q^73 - 22 * q^74 + 48 * q^75 + 32 * q^78 - 44 * q^79 - 594 * q^80 + 32 * q^81 + 24 * q^82 + 352 * q^85 - 36 * q^87 - 330 * q^88 + 244 * q^92 - 24 * q^93 - 486 * q^94 - 154 * q^95 - 60 * q^96 - 24 * q^98 - 44 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/483\mathbb{Z}\right)^\times$.

$n$	$323$	$346$	$442$
$\chi(n)$	$1$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{3}{22}\right)$

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 $

$2$	0.114790	−	0.331663i	0.0811686	−	0.234521i	−0.897113	−	0.441801i	$-0.854340\pi$
$2$	0.114790	−	0.331663i	0.0811686	−	0.234521i	0.978282	+	0.207280i	$0.0664610\pi$
$3$	0.458227	+	0.888835i	0.264557	+	0.513169i
$3$	0.458227	+	0.888835i	0.264557	+	0.513169i
$4$	1.47528	+	1.16017i	0.737641	+	0.580087i
$5$	0.530378	−	0.0506450i	0.237192	−	0.0226491i	0.0242172	−	0.999707i	$-0.492291\pi$
$5$	0.530378	−	0.0506450i	0.237192	−	0.0226491i	0.212975	+	0.977058i	$0.431685\pi$
$6$	0.347394	−	0.0499477i	0.141823	−	0.0203911i
$7$	0.390363	−	2.61680i	0.147543	−	0.989056i
$7$	0.390363	−	2.61680i	0.147543	−	0.989056i
$8$	1.14464	−	0.735614i	0.404690	−	0.260079i
$9$	−0.580057	+	0.814576i	−0.193352	+	0.271525i
$10$	0.0440849	−	0.181721i	0.0139409	−	0.0574651i
$11$	3.27701	−	1.13418i	0.988055	−	0.341969i	0.215213	−	0.976567i	$-0.430956\pi$
$11$	3.27701	−	1.13418i	0.988055	−	0.341969i	0.772842	+	0.634598i	$0.218834\pi$
$12$	−0.355191	+	1.84291i	−0.102535	+	0.532001i
$13$	−1.53444	−	5.22581i	−0.425576	−	1.44938i	−0.841638	−	0.540043i	$-0.818408\pi$
$13$	−1.53444	−	5.22581i	−0.425576	−	1.44938i	0.416061	−	0.909337i	$-0.363410\pi$
$14$	−0.823085	−	0.429850i	−0.219979	−	0.114882i
$15$	0.288049	+	0.448212i	0.0743738	+	0.115728i
$16$	0.772372	+	3.18376i	0.193093	+	0.795940i
$17$	4.87255	+	1.95068i	1.18177	+	0.473108i	0.877546	−	0.479493i	$-0.159179\pi$
$17$	4.87255	+	1.95068i	1.18177	+	0.473108i	0.304222	+	0.952601i	$0.401604\pi$
$18$	0.203580	+	0.285888i	0.0479843	+	0.0673846i
$19$	−0.705211	+	0.282324i	−0.161787	+	0.0647695i	−0.451142	−	0.892452i	$-0.648983\pi$
$19$	−0.705211	+	0.282324i	−0.161787	+	0.0647695i	0.289356	+	0.957222i	$0.406559\pi$
$20$	0.841215	+	0.540616i	0.188101	+	0.120885i
$21$	2.50478	−	0.852116i	0.546587	−	0.185947i
$22$		−	1.21706i		−	0.259477i
$23$	−3.61209	+	3.15480i	−0.753174	+	0.657822i
$23$	−3.61209	+	3.15480i	−0.753174	+	0.657822i
$24$	1.17834	+	0.680317i	0.240528	+	0.138869i
$25$	−4.63091	+	0.892534i	−0.926181	+	0.178507i
$26$	−1.90935	−	0.0909534i	−0.374454	−	0.0178374i
$27$	−0.989821	−	0.142315i	−0.190491	−	0.0273885i
$28$	3.61184	−	3.40762i	0.682573	−	0.643980i
$29$	1.32102	+	9.18791i	0.245308	+	1.70615i	0.624658	+	0.780898i	$0.285238\pi$
$29$	1.32102	+	9.18791i	0.245308	+	1.70615i	−0.379351	+	0.925253i	$0.623853\pi$
$30$	0.181721	−	0.0440849i	0.0331775	−	0.00804877i
$31$	−5.85279	+	0.278803i	−1.05119	+	0.0500745i	−0.566058	−	0.824365i	$-0.691532\pi$
$31$	−5.85279	+	0.278803i	−1.05119	+	0.0500745i	−0.485134	+	0.874440i	$0.661229\pi$
$32$	3.85354	+	0.367969i	0.681216	+	0.0650483i
$33$	2.50971	+	2.39301i	0.436885	+	0.416569i
$34$	1.20629	−	1.39213i	0.206876	−	0.238748i
$35$	0.0745126	−	1.40766i	0.0125949	−	0.237938i
$36$	−1.80080	+	0.528762i	−0.300133	+	0.0881270i
$37$	1.19470	+	0.850745i	0.196408	+	0.139862i	0.674030	−	0.738704i	$-0.264562\pi$
$37$	1.19470	+	0.850745i	0.196408	+	0.139862i	−0.477622	+	0.878565i	$0.658501\pi$
$38$	0.0126855	+	0.266300i	0.00205785	+	0.0431996i
$39$	3.94177	−	3.75847i	0.631188	−	0.601836i
$40$	0.569836	−	0.448124i	0.0900990	−	0.0708546i
$41$	−0.252330	−	0.115235i	−0.0394074	−	0.0179967i	0.395614	−	0.918417i	$-0.370532\pi$
$41$	−0.252330	−	0.115235i	−0.0394074	−	0.0179967i	−0.435021	+	0.900420i	$0.643259\pi$
$42$	0.00490688	−	0.928556i	0.000757149	−	0.143279i
$43$	−1.75952	+	2.73787i	−0.268325	+	0.417521i	−0.949102	−	0.314969i	$-0.898006\pi$
$43$	−1.75952	+	2.73787i	−0.268325	+	0.417521i	0.680777	+	0.732490i	$0.261642\pi$
$44$	6.15036	+	2.12866i	0.927202	+	0.320908i
$45$	−0.266395	+	0.461411i	−0.0397119	+	0.0687830i
$46$	0.631700	+	1.56014i	0.0931391	+	0.230030i
$47$	3.80333	−	2.19586i	0.554773	−	0.320298i	−0.196272	−	0.980550i	$-0.562883\pi$
$47$	3.80333	−	2.19586i	0.554773	−	0.320298i	0.751045	+	0.660251i	$0.229550\pi$
$48$	−2.47592	+	2.14540i	−0.357368	+	0.309661i
$49$	−6.69523	−	2.04300i	−0.956462	−	0.291857i
$50$	−0.235560	+	1.63836i	−0.0333132	+	0.231698i
$51$	0.498903	+	5.22475i	0.0698604	+	0.731611i
$52$	3.79913	−	9.48976i	0.526844	−	1.31599i
$53$	−7.74517	−	8.12290i	−1.06388	−	1.11577i	−0.992980	−	0.118283i	$-0.962261\pi$
$53$	−7.74517	−	8.12290i	−1.06388	−	1.11577i	−0.0709016	−	0.997483i	$-0.522588\pi$
$54$	−0.160822	+	0.311951i	−0.0218851	+	0.0424512i
$55$	1.68061	−	0.767511i	0.226614	−	0.103491i
$56$	−1.47813	−	3.28244i	−0.197523	−	0.438634i
$57$	−0.574086	−	0.497448i	−0.0760395	−	0.0658886i
$58$	3.19893	+	0.616543i	0.420040	+	0.0809561i
$59$	1.78232	+	0.432385i	0.232038	+	0.0562918i	0.350092	−	0.936715i	$-0.386150\pi$
$59$	1.78232	+	0.432385i	0.232038	+	0.0562918i	−0.118054	+	0.993007i	$0.537666\pi$
$60$	−0.0950517	+	0.995426i	−0.0122711	+	0.128509i
$61$	−6.19347	−	3.19296i	−0.792993	−	0.408816i	0.0136119	−	0.999907i	$-0.495667\pi$
$61$	−6.19347	−	3.19296i	−0.792993	−	0.408816i	−0.806605	+	0.591091i	$0.798697\pi$
$62$	−0.579372	+	1.97316i	−0.0735803	+	0.250591i
$63$	1.90515	+	1.83587i	0.240026	+	0.231298i
$64$	−2.15750	+	4.72427i	−0.269688	+	0.590534i
$65$	−1.07849	−	2.69395i	−0.133771	−	0.334143i
$66$	1.08176	−	0.557687i	0.133156	−	0.0686465i
$67$	0.663668	+	3.44344i	0.0810800	+	0.420683i	0.999675	+	0.0254832i	$0.00811243\pi$
$67$	0.663668	+	3.44344i	0.0810800	+	0.420683i	−0.918595	+	0.395200i	$0.870675\pi$
$68$	4.92527	+	8.53081i	0.597276	+	1.03451i
$69$	−4.45926	−	1.76494i	−0.536831	−	0.212474i
$70$	−0.458316	−	0.186298i	−0.0547793	−	0.0222669i
$71$	−4.66663	−	5.38558i	−0.553827	−	0.639150i	0.407944	−	0.913007i	$-0.366246\pi$
$71$	−4.66663	−	5.38558i	−0.553827	−	0.639150i	−0.961770	+	0.273857i	$0.911701\pi$
$72$	−0.0647415	+	1.35909i	−0.00762986	+	0.160171i
$73$	9.94741	−	12.6492i	1.16426	−	1.48047i	0.317686	−	0.948196i	$-0.397094\pi$
$73$	9.94741	−	12.6492i	1.16426	−	1.48047i	0.846570	−	0.532277i	$-0.178663\pi$
$74$	0.419301	−	0.298583i	0.0487427	−	0.0347095i
$75$	−2.91532	−	3.70713i	−0.336632	−	0.428063i
$76$	−1.36793	−	0.401661i	−0.156912	−	0.0460736i
$77$	−1.68870	−	9.01800i	−0.192446	−	1.02770i
$78$	−0.794071	−	1.73877i	−0.0899108	−	0.196877i
$79$	8.92525	−	9.36053i	1.00417	−	1.05314i	0.00558245	−	0.999984i	$-0.498223\pi$
$79$	8.92525	−	9.36053i	1.00417	−	1.05314i	0.998586	−	0.0531573i	$-0.0169285\pi$
$80$	0.570891	+	1.64948i	0.0638276	+	0.184418i
$81$	−0.327068	−	0.945001i	−0.0363409	−	0.105000i
$82$	−0.0671843	+	0.0704608i	−0.00741926	+	0.00778110i
$83$	−1.76265	−	3.85967i	−0.193476	−	0.423654i	0.787886	−	0.615821i	$-0.211176\pi$
$83$	−1.76265	−	3.85967i	−0.193476	−	0.423654i	−0.981362	+	0.192167i	$0.938448\pi$
$84$	4.68385	+	1.64886i	0.511050	+	0.179906i
$85$	2.68309	+	0.787826i	0.291022	+	0.0854517i
$86$	0.706076	+	0.897848i	0.0761381	+	0.0968175i
$87$	−7.56121	+	5.38431i	−0.810647	+	0.577259i
$88$	2.91667	−	3.70884i	0.310918	−	0.395364i
$89$	−0.703445	+	14.7671i	−0.0745650	+	1.56531i	0.583351	+	0.812221i	$0.301741\pi$
$89$	−0.703445	+	14.7671i	−0.0745650	+	1.56531i	−0.657916	+	0.753092i	$0.728562\pi$
$90$	0.122453	+	0.141319i	0.0129077	+	0.0148963i
$91$	−14.2739	+	1.97534i	−1.49631	+	0.207072i
$92$	−8.98898	+	0.463561i	−0.937166	+	0.0483296i
$93$	−2.92971	−	5.07441i	−0.303797	−	0.526192i
$94$	−0.291701	−	1.51349i	−0.0300866	−	0.156104i
$95$	−0.359730	+	0.185454i	−0.0369076	+	0.0190272i
$96$	1.43873	+	3.59378i	0.146840	+	0.366788i
$97$	−1.63139	+	3.57223i	−0.165642	+	0.362705i	−0.974192	−	0.225723i	$-0.927526\pi$
$97$	−1.63139	+	3.57223i	−0.165642	+	0.362705i	0.808550	+	0.588428i	$0.200253\pi$
$98$	−1.44613	+	1.98605i	−0.146081	+	0.200621i
$99$	−0.976973	+	3.32726i	−0.0981894	+	0.334403i
$100$	−7.86739	−	4.05592i	−0.786739	−	0.405592i
$101$	0.211669	−	2.21670i	0.0210619	−	0.220570i	−0.978813	−	0.204756i	$-0.934360\pi$
$101$	0.211669	−	2.21670i	0.0210619	−	0.220570i	0.999875	−	0.0158141i	$-0.00503400\pi$
$102$	1.79013	+	0.434280i	0.177249	+	0.0430001i
$103$	−8.02221	−	1.54615i	−0.790452	−	0.152347i	−0.221982	−	0.975051i	$-0.571253\pi$
$103$	−8.02221	−	1.54615i	−0.790452	−	0.152347i	−0.568470	+	0.822704i	$0.692465\pi$
$104$	−5.60055	−	4.85291i	−0.549179	−	0.475867i
$105$	1.28532	−	0.578798i	0.125435	−	0.0564849i
$106$	−3.58313	+	1.63636i	−0.348025	+	0.158938i
$107$	−4.43166	+	8.59622i	−0.428425	+	0.831028i	0.571521	+	0.820588i	$0.306354\pi$
$107$	−4.43166	+	8.59622i	−0.428425	+	0.831028i	−0.999945	+	0.0104403i	$0.996677\pi$
$108$	−1.29516	−	1.35832i	−0.124626	−	0.130704i
$109$	−7.50906	+	18.7567i	−0.719238	+	1.79657i	−0.125202	+	0.992131i	$0.539958\pi$
$109$	−7.50906	+	18.7567i	−0.719238	+	1.79657i	−0.594036	+	0.804438i	$0.702467\pi$
$110$	−0.0616378	−	0.645500i	−0.00587693	−	0.0615460i
$111$	−0.208727	+	1.45173i	−0.0198115	+	0.137792i
$112$	8.63276	−	0.778316i	0.815719	−	0.0735440i
$113$	−0.671344	+	0.581723i	−0.0631547	+	0.0547239i	−0.685866	−	0.727728i	$-0.740576\pi$
$113$	−0.671344	+	0.581723i	−0.0631547	+	0.0547239i	0.622712	+	0.782452i	$0.286031\pi$
$114$	−0.230884	+	0.133301i	−0.0216243	+	0.0124848i
$115$	−1.75600	+	1.85617i	−0.163748	+	0.173089i
$116$	−8.71070	+	15.0874i	−0.808768	+	1.40083i
$117$	5.14688	+	1.78135i	0.475829	+	0.164686i
$118$	0.347998	−	0.541495i	0.0320358	−	0.0498487i
$119$	7.00658	−	11.9890i	0.642293	−	1.09903i
$120$	0.659422	+	0.301148i	0.0601967	+	0.0274909i
$121$	0.805827	−	0.633709i	0.0732570	−	0.0576100i
$122$	−1.76993	+	1.68763i	−0.160242	+	0.152791i
$123$	−0.0131991	−	0.277084i	−0.00119013	−	0.0249838i
$124$	−8.95798	−	6.37895i	−0.804450	−	0.572846i
$125$	−4.96698	+	1.45844i	−0.444260	+	0.130446i
$126$	0.827582	−	0.421127i	0.0737268	−	0.0375170i
$127$	−0.326715	+	0.377049i	−0.0289913	+	0.0334577i	−0.770060	−	0.637971i	$-0.779774\pi$
$127$	−0.326715	+	0.377049i	−0.0289913	+	0.0334577i	0.741069	+	0.671429i	$0.234319\pi$
$128$	6.92246	+	6.60055i	0.611864	+	0.583412i
$129$	−3.23978	−	0.309361i	−0.285246	−	0.0272377i
$130$	−1.01728	+	0.0484591i	−0.0892216	+	0.00425015i
$131$	−5.81404	+	1.41047i	−0.507975	+	0.123233i	−0.481552	−	0.876417i	$-0.659927\pi$
$131$	−5.81404	+	1.41047i	−0.507975	+	0.123233i	−0.0264229	+	0.999651i	$0.508412\pi$
$132$	0.926230	+	6.44207i	0.0806180	+	0.560710i
$133$	0.463495	+	1.95560i	0.0401901	+	0.169572i
$134$	1.21824	+	0.175157i	0.105240	+	0.0151313i
$135$	−0.532187	−	0.0253512i	−0.0458034	−	0.00218189i
$136$	7.01225	−	1.35150i	0.601296	−	0.115890i
$137$	10.3862	+	5.99650i	0.887356	+	0.512315i	0.873077	−	0.487583i	$-0.162121\pi$
$137$	10.3862	+	5.99650i	0.887356	+	0.512315i	0.0142795	+	0.999898i	$0.495455\pi$
$138$	−1.09724	+	1.27637i	−0.0934036	+	0.108652i
$139$		−	23.2258i		−	1.96999i	−0.172594	−	0.984993i	$-0.555215\pi$
$139$		−	23.2258i		−	1.96999i	0.172594	−	0.984993i	$-0.444785\pi$
$140$	1.74306	−	1.99025i	0.147316	−	0.168207i
$141$	3.69454	+	2.37434i	0.311137	+	0.199955i
$142$	−2.32188	+	0.929540i	−0.194848	+	0.0780052i
$143$	−10.9554	−	15.3847i	−0.916136	−	1.28653i
$144$	−3.04144	−	1.21761i	−0.253453	−	0.101467i
$145$	1.16596	+	4.80616i	0.0968279	+	0.399130i
$146$	−3.05340	−	4.75118i	−0.252701	−	0.393211i
$147$	−1.25204	−	6.88712i	−0.103267	−	0.568040i
$148$	0.775513	+	2.64116i	0.0637468	+	0.217102i
$149$	0.297862	−	1.54545i	0.0244018	−	0.126609i	−0.967685	−	0.252162i	$-0.918858\pi$
$149$	0.297862	−	1.54545i	0.0244018	−	0.126609i	0.992087	+	0.125553i	$0.0400706\pi$
$150$	−1.56417	+	0.541364i	−0.127714	+	0.0442022i
$151$	0.382541	−	1.57685i	0.0311307	−	0.128323i	−0.954126	−	0.299406i	$-0.903212\pi$
$151$	0.382541	−	1.57685i	0.0311307	−	0.128323i	0.985257	+	0.171083i	$0.0547267\pi$
$152$	−0.599530	+	0.841921i	−0.0486283	+	0.0682888i
$153$	−4.41533	+	2.83756i	−0.356958	+	0.229403i
$154$	−3.18479	−	0.475094i	−0.256637	−	0.0382841i
$155$	−3.09007	+	0.444286i	−0.248201	+	0.0356859i
$156$	10.1757	−	0.971661i	0.814708	−	0.0777952i
$157$	12.3247	+	9.69228i	0.983621	+	0.773528i	0.974028	−	0.226426i	$-0.0727041\pi$
$157$	12.3247	+	9.69228i	0.983621	+	0.773528i	0.00959255	+	0.999954i	$0.496947\pi$
$158$	−2.08002	−	4.03467i	−0.165477	−	0.320981i
$159$	3.67088	−	10.6063i	0.291120	−	0.841136i
$160$	2.06247			0.163053
$161$	6.84544	+	10.6836i	0.539496	+	0.841988i
$162$	−0.350966			−0.0275745
$163$	5.40712	−	15.6228i	0.423518	−	1.22368i	−0.508436	−	0.861100i	$-0.669776\pi$
$163$	5.40712	−	15.6228i	0.423518	−	1.22368i	0.931954	−	0.362576i	$-0.118103\pi$
$164$	−0.238565	−	0.462752i	−0.0186288	−	0.0361349i
$165$	1.45229	+	1.14210i	0.113061	+	0.0889120i
$166$	−1.48245	+	0.141556i	−0.115060	+	0.0109869i
$167$	−18.4168	+	2.64793i	−1.42513	+	0.204903i	−0.811345	−	0.584568i	$-0.801264\pi$
$167$	−18.4168	+	2.64793i	−1.42513	+	0.204903i	−0.613787	+	0.789471i	$0.710355\pi$
$168$	2.24023	−	2.81791i	0.172838	−	0.217407i
$169$	−14.0183	+	9.00902i	−1.07833	+	0.693002i
$170$	0.569284	−	0.799447i	0.0436621	−	0.0613148i
$171$	0.179088	−	0.738212i	0.0136952	−	0.0564525i
$172$	−5.77220	+	1.99778i	−0.440126	+	0.152329i
$173$	2.50130	−	12.9780i	0.190170	−	0.986696i	−0.753909	−	0.656978i	$-0.771834\pi$
$173$	2.50130	−	12.9780i	0.190170	−	0.986696i	0.944080	−	0.329718i	$-0.106954\pi$
$174$	0.917829	+	3.12584i	0.0695804	+	0.236969i
$175$	0.527843	+	12.4665i	0.0399012	+	0.942382i
$176$	6.14204	+	9.55720i	0.462974	+	0.720401i
$177$	0.432385	+	1.78232i	0.0325001	+	0.133967i
$178$	4.81696	+	1.92842i	0.361047	+	0.144541i
$179$	9.29145	+	13.0480i	0.694476	+	0.975255i	0.999736	+	0.0229857i	$0.00731722\pi$
$179$	9.29145	+	13.0480i	0.694476	+	0.975255i	−0.305260	+	0.952269i	$0.598743\pi$
$180$	−0.928325	+	0.371645i	−0.0691933	+	0.0277008i
$181$	−16.7320	−	10.7530i	−1.24368	−	0.799266i	−0.257717	−	0.966220i	$-0.582970\pi$
$181$	−16.7320	−	10.7530i	−1.24368	−	0.799266i	−0.985965	+	0.166955i	$0.946607\pi$
$182$	−0.983345	+	4.96086i	−0.0728904	+	0.367724i
$183$		−	6.96808i		−	0.515095i
$184$	−1.81382	+	6.26821i	−0.133717	+	0.462099i
$185$	0.676731	+	0.390711i	0.0497543	+	0.0287256i
$186$	−2.01930	+	0.389188i	−0.148062	+	0.0285366i
$187$	18.1798	+	0.866012i	1.32944	+	0.0633290i
$188$	8.15857	+	1.17302i	0.595025	+	0.0855516i
$189$	−0.758799	+	2.53461i	−0.0551945	+	0.184365i
$190$	0.0202149	+	0.140598i	0.00146654	+	0.0102000i
$191$	25.5649	−	6.20199i	1.84981	−	0.448760i	0.852548	−	0.522649i	$-0.175056\pi$
$191$	25.5649	−	6.20199i	1.84981	−	0.448760i	0.997266	+	0.0738894i	$0.0235412\pi$
$192$	−5.18772	+	0.247122i	−0.374392	+	0.0178345i
$193$	5.65812	+	0.540285i	0.407281	+	0.0388906i	0.296686	−	0.954975i	$-0.404118\pi$
$193$	5.65812	+	0.540285i	0.407281	+	0.0388906i	0.110594	+	0.993866i	$0.464725\pi$
$194$	0.997512	+	0.951126i	0.0716172	+	0.0682869i
$195$	1.90028	−	2.19304i	0.136082	−	0.157047i
$196$	−7.50712	−	10.7816i	−0.536223	−	0.770117i
$197$	−14.3914	+	4.22570i	−1.02535	+	0.301069i	−0.750817	−	0.660510i	$-0.770340\pi$
$197$	−14.3914	+	4.22570i	−1.02535	+	0.301069i	−0.274529	+	0.961579i	$0.588522\pi$
$198$	0.991384	+	0.705962i	0.0704546	+	0.0501705i
$199$	0.297262	+	6.24030i	0.0210723	+	0.442363i	0.984607	+	0.174781i	$0.0559217\pi$
$199$	0.297262	+	6.24030i	0.0210723	+	0.442363i	−0.963535	+	0.267582i	$0.913775\pi$
$200$	−4.64415	+	4.42819i	−0.328391	+	0.313120i
$201$	−2.75654	+	2.16777i	−0.194431	+	0.152902i
$202$	−0.710901	−	0.324658i	−0.0500188	−	0.0228428i
$203$	24.5585	+	0.129778i	1.72367	+	0.00910862i
$204$	−5.32560	+	8.28680i	−0.372867	+	0.580192i
$205$	−0.139667	−	0.0483391i	−0.00975474	−	0.00337615i
$206$	−1.43367	+	2.48319i	−0.0998885	+	0.173012i
$207$	−0.474605	−	4.77229i	−0.0329873	−	0.331697i
$208$	15.4526	−	8.92155i	1.07144	−	0.618598i
$209$	−1.99078	+	1.72502i	−0.137705	+	0.119322i
$210$	−0.0444242	−	0.492735i	−0.00306556	−	0.0340019i
$211$	−0.600207	+	4.17453i	−0.0413199	+	0.287387i	0.958676	+	0.284501i	$0.0918277\pi$
$211$	−0.600207	+	4.17453i	−0.0413199	+	0.287387i	−0.999996	+	0.00288603i	$0.999081\pi$
$212$	−2.00233	−	20.9693i	−0.137520	−	1.44018i
$213$	2.64852	−	6.61568i	0.181473	−	0.453299i
$214$	2.34234	+	2.45658i	0.160119	+	0.167928i
$215$	−0.794553	+	1.54122i	−0.0541881	+	0.105110i
$216$	−1.23768	+	0.565227i	−0.0842131	+	0.0384589i
$217$	−1.55514	+	15.4244i	−0.105570	+	1.04708i
$218$	5.35896	+	4.64356i	0.362954	+	0.314502i
$219$	15.8012	+	3.04543i	1.06775	+	0.205791i
$220$	3.36983	+	0.817511i	0.227194	+	0.0551166i
$221$	2.71724	−	28.4562i	0.182781	−	1.91417i
$222$	0.457525	+	0.235871i	0.0307071	+	0.0158306i
$223$	1.53968	−	5.24367i	0.103105	−	0.351142i	−0.891741	−	0.452547i	$-0.850516\pi$
$223$	1.53968	−	5.24367i	0.103105	−	0.351142i	0.994845	+	0.101405i	$0.0323337\pi$
$224$	2.46718	−	9.94029i	0.164845	−	0.664163i
$225$	1.95915	−	4.28995i	0.130610	−	0.285996i
$226$	0.115873	+	0.289436i	0.00770773	+	0.0192530i
$227$	5.33661	−	2.75121i	0.354203	−	0.182604i	−0.271937	−	0.962315i	$-0.587664\pi$
$227$	5.33661	−	2.75121i	0.354203	−	0.182604i	0.626140	+	0.779711i	$0.284634\pi$
$228$	−0.269812	−	1.39992i	−0.0178687	−	0.0927118i
$229$	−0.328681	−	0.569292i	−0.0217198	−	0.0376199i	0.854961	−	0.518692i	$-0.173581\pi$
$229$	−0.328681	−	0.569292i	−0.0217198	−	0.0376199i	−0.876681	+	0.481072i	$0.840248\pi$
$230$	0.414053	+	0.795471i	0.0273019	+	0.0524518i
$231$	7.24171	−	5.63327i	0.476470	−	0.370642i
$232$	8.27084	+	9.54506i	0.543007	+	0.626664i
$233$	−0.318463	+	6.68537i	−0.0208632	+	0.437973i	0.964135	+	0.265411i	$0.0855076\pi$
$233$	−0.318463	+	6.68537i	−0.0208632	+	0.437973i	−0.984999	+	0.172562i	$0.944795\pi$
$234$	1.18162	−	1.50255i	0.0772448	−	0.0982248i
$235$	1.90600	−	1.35725i	0.124334	−	0.0885375i
$236$	2.12778	+	2.70569i	0.138507	+	0.176125i
$237$	12.4098	+	3.64383i	0.806100	+	0.236692i
$238$	−3.17203	−	3.70004i	−0.205612	−	0.239838i
$239$	−10.3238	−	22.6060i	−0.667792	−	1.46226i	−0.875079	−	0.483980i	$-0.839191\pi$
$239$	−10.3238	−	22.6060i	−0.667792	−	1.46226i	0.207287	−	0.978280i	$-0.433537\pi$
$240$	−1.20452	+	1.26326i	−0.0777514	+	0.0815434i
$241$	9.41914	+	27.2148i	0.606740	+	1.75306i	0.656529	+	0.754301i	$0.272024\pi$
$241$	9.41914	+	27.2148i	0.606740	+	1.75306i	−0.0497887	+	0.998760i	$0.515855\pi$
$242$	−0.117677	−	0.340007i	−0.00756459	−	0.0218564i
$243$	0.690079	−	0.723734i	0.0442686	−	0.0464276i
$244$	−5.43273	−	11.8960i	−0.347795	−	0.761565i
$245$	−3.65448	−	0.744484i	−0.233476	−	0.0475633i
$246$	−0.0934137	−	0.0274287i	−0.00595584	−	0.00174879i
$247$	2.55747	+	3.25209i	0.162728	+	0.206926i
$248$	−6.49423	+	4.62452i	−0.412384	+	0.293657i
$249$	2.62292	−	3.33531i	0.166221	−	0.211367i
$250$	−0.0864485	+	1.81478i	−0.00546748	+	0.114777i
$251$	−2.86758	−	3.30936i	−0.181000	−	0.208885i	0.657998	−	0.753020i	$-0.271404\pi$
$251$	−2.86758	−	3.30936i	−0.181000	−	0.208885i	−0.838998	+	0.544135i	$0.816858\pi$
$252$	0.680697	+	4.91873i	0.0428799	+	0.309851i
$253$	−8.25874	+	14.4351i	−0.519223	+	0.907526i
$254$	0.0875498	+	0.151641i	0.00549336	+	0.00951478i
$255$	0.529215	+	2.74583i	0.0331407	+	0.171950i
$256$	−6.24874	+	3.22145i	−0.390546	+	0.201340i
$257$	−1.42374	−	3.55633i	−0.0888104	−	0.221838i	0.877313	−	0.479919i	$-0.159334\pi$
$257$	−1.42374	−	3.55633i	−0.0888104	−	0.221838i	−0.966123	+	0.258081i	$0.916910\pi$
$258$	−0.474497	+	1.03900i	−0.0295409	+	0.0646855i
$259$	2.69259	−	2.79420i	0.167310	−	0.173623i
$260$	1.53437	−	5.22557i	0.0951574	−	0.324076i
$261$	−8.25052	−	4.25344i	−0.510694	−	0.263281i
$262$	−0.199591	+	2.09021i	−0.0123308	+	0.129134i
$263$	10.5700	+	2.56426i	0.651774	+	0.158119i	0.547995	−	0.836482i	$-0.315391\pi$
$263$	10.5700	+	2.56426i	0.651774	+	0.158119i	0.103779	+	0.994600i	$0.466906\pi$
$264$	4.63304	+	0.892946i	0.285144	+	0.0549570i
$265$	−4.51926	−	3.91596i	−0.277616	−	0.240555i
$266$	0.701806	+	0.0707587i	0.0430305	+	0.00433849i
$267$	−13.4479	+	6.14144i	−0.822997	+	0.375850i
$268$	−3.01589	+	5.85001i	−0.184225	+	0.357346i
$269$	6.01385	+	6.30714i	0.366671	+	0.384553i	0.881061	−	0.473003i	$-0.156830\pi$
$269$	6.01385	+	6.30714i	0.366671	+	0.384553i	−0.514390	+	0.857556i	$0.671982\pi$
$270$	−0.0694977	+	0.173597i	−0.00422950	+	0.0105648i
$271$	−1.53637	−	16.0896i	−0.0933279	−	0.977373i	−0.913930	−	0.405873i	$-0.866968\pi$
$271$	−1.53637	−	16.0896i	−0.0933279	−	0.977373i	0.820602	−	0.571501i	$-0.193639\pi$
$272$	−2.44706	+	17.0197i	−0.148375	+	1.03197i
$273$	−8.29642	−	11.7820i	−0.502122	−	0.713077i
$274$	3.18105	−	2.75640i	0.192174	−	0.166520i
$275$	−14.1632	+	8.17714i	−0.854075	+	0.493100i
$276$	−4.53102	−	7.77731i	−0.272735	−	0.468139i
$277$	−1.58514	+	2.74555i	−0.0952419	+	0.164964i	−0.909710	−	0.415245i	$-0.863696\pi$
$277$	−1.58514	+	2.74555i	−0.0952419	+	0.164964i	0.814468	+	0.580209i	$0.197029\pi$
$278$	−7.70314	−	2.66608i	−0.462004	−	0.159901i
$279$	3.16785	−	4.92926i	0.189654	−	0.295107i
$280$	−0.950205	−	1.66607i	−0.0567856	−	0.0995670i
$281$	13.0690	+	5.96841i	0.779631	+	0.356046i	0.765152	−	0.643850i	$-0.222664\pi$
$281$	13.0690	+	5.96841i	0.779631	+	0.356046i	0.0144791	+	0.999895i	$0.495391\pi$
$282$	1.21158	−	0.952794i	0.0721483	−	0.0567381i
$283$	9.99381	−	9.52908i	0.594071	−	0.566445i	−0.332245	−	0.943193i	$-0.607806\pi$
$283$	9.99381	−	9.52908i	0.594071	−	0.566445i	0.926316	+	0.376748i	$0.122958\pi$
$284$	−0.636384	−	13.3593i	−0.0377625	−	0.792731i
$285$	−0.329676	−	0.234761i	−0.0195283	−	0.0139061i
$286$	−6.36010	+	1.86749i	−0.376081	+	0.110427i
$287$	−0.400048	+	0.615313i	−0.0236141	+	0.0363208i
$288$	−2.53501	+	2.92556i	−0.149377	+	0.172390i
$289$	7.63316	+	7.27820i	0.449009	+	0.428129i
$290$	1.72787	+	0.164991i	0.101464	+	0.00968863i
$291$	−3.92267	+	0.186860i	−0.229951	+	0.0109539i
$292$	29.3505	−	7.12035i	1.71761	−	0.416687i
$293$	0.551609	+	3.83653i	0.0322254	+	0.224132i	0.999570	−	0.0293336i	$-0.00933851\pi$
$293$	0.551609	+	3.83653i	0.0322254	+	0.224132i	−0.967344	+	0.253466i	$0.918429\pi$
$294$	−2.42792	−	0.375314i	−0.141599	−	0.0218888i
$295$	0.967200	+	0.139062i	0.0563126	+	0.00809653i
$296$	1.99332	+	0.0949537i	0.115860	+	0.00551907i
$297$	−3.40506	+	0.656272i	−0.197582	+	0.0380808i
$298$	−0.478379	−	0.276192i	−0.0277117	−	0.0159994i
$299$	22.0289	+	14.0353i	1.27397	+	0.811681i
$300$		−	8.85135i		−	0.511033i
$301$	6.47759	+	5.67307i	0.373362	+	0.326990i
$302$	−0.479073	−	0.307881i	−0.0275675	−	0.0177166i
$303$	2.06728	−	0.827612i	0.118762	−	0.0475451i
$304$	−1.44354	−	2.02716i	−0.0827925	−	0.116266i
$305$	−3.44659	−	1.37981i	−0.197351	−	0.0790075i
$306$	0.434280	+	1.79013i	0.0248261	+	0.102335i
$307$	5.88280	+	9.15381i	0.335749	+	0.522435i	0.967545	−	0.252699i	$-0.0813183\pi$
$307$	5.88280	+	9.15381i	0.335749	+	0.522435i	−0.631796	+	0.775135i	$0.717682\pi$
$308$	7.97115	−	15.2633i	0.454198	−	0.869707i
$309$	−2.30171	−	7.83892i	−0.130940	−	0.445940i
$310$	−0.207356	+	1.07586i	−0.0117770	+	0.0611049i
$311$	−22.3225	+	7.72590i	−1.26579	+	0.438096i	−0.875779	−	0.482713i	$-0.839651\pi$
$311$	−22.3225	+	7.72590i	−1.26579	+	0.438096i	−0.390015	+	0.920808i	$0.627530\pi$
$312$	1.74711	−	7.20170i	0.0989108	−	0.407716i
$313$	−7.83304	+	11.0000i	−0.442750	+	0.621755i	−0.974295	−	0.225275i	$-0.927672\pi$
$313$	−7.83304	+	11.0000i	−0.442750	+	0.621755i	0.531546	+	0.847030i	$0.321611\pi$
$314$	4.62933	−	2.97509i	0.261248	−	0.167894i
$315$	1.10343	+	0.877220i	0.0621710	+	0.0494258i
$316$	24.0271	−	3.45458i	1.35163	−	0.194335i
$317$	24.2428	−	2.31491i	1.36161	−	0.130018i	0.611455	−	0.791279i	$-0.290584\pi$
$317$	24.2428	−	2.31491i	1.36161	−	0.130018i	0.750156	+	0.661261i	$0.229978\pi$
$318$	−3.09634	−	2.43499i	−0.173634	−	0.136548i
$319$	14.7498	+	28.6106i	0.825829	+	1.60188i
$320$	−0.905032	+	2.61492i	−0.0505928	+	0.146178i
$321$	−9.67133			−0.539801
$322$	4.32915	−	1.04401i	0.241254	−	0.0581804i
$323$	−3.98690			−0.221837
$324$	0.613849	−	1.77360i	0.0341027	−	0.0985333i
$325$	11.7700	+	22.8307i	0.652885	+	1.26642i
$326$	−4.56084	−	3.58669i	−0.252602	−	0.198648i
$327$	−20.1125	+	1.92051i	−1.11222	+	0.106205i
$328$	−0.373596	+	0.0537149i	−0.0206284	+	0.00296591i
$329$	−4.26142	−	10.8097i	−0.234940	−	0.595959i
$330$	0.545499	−	0.350571i	0.0300287	−	0.0192983i
$331$	15.0749	−	21.1698i	0.828593	−	1.16360i	−0.155830	−	0.987784i	$-0.549805\pi$
$331$	15.0749	−	21.1698i	0.828593	−	1.16360i	0.984424	−	0.175813i	$-0.0562553\pi$
$332$	1.87748	−	7.73909i	0.103040	−	0.424738i
$333$	−1.38599	+	0.479697i	−0.0759520	+	0.0262872i
$334$	−1.23583	+	6.41212i	−0.0676218	+	0.350855i
$335$	0.526388	+	1.79271i	0.0287597	+	0.0979464i
$336$	4.64755	+	7.31645i	0.253545	+	0.399145i
$337$	4.27370	+	6.65001i	0.232803	+	0.362249i	0.937926	−	0.346837i	$-0.112744\pi$
$337$	4.27370	+	6.65001i	0.232803	+	0.362249i	−0.705122	+	0.709086i	$0.749108\pi$
$338$	1.37880	+	5.68350i	0.0749970	+	0.309142i
$339$	−0.824683	−	0.330153i	−0.0447906	−	0.0179315i
$340$	3.04430	+	4.27512i	0.165100	+	0.231851i
$341$	−18.8634	+	7.55178i	−1.02151	+	0.408952i
$342$	−0.224280	−	0.144136i	−0.0121277	−	0.00779399i
$343$	−7.95969	+	16.7225i	−0.429783	+	0.902932i
$344$			4.42820i			0.238752i
$345$	−2.45448	−	0.710249i	−0.132145	−	0.0382385i
$346$	−4.01719	−	2.31933i	−0.215965	−	0.124688i
$347$	14.6153	−	2.81687i	0.784591	−	0.151218i	0.218804	−	0.975769i	$-0.429784\pi$
$347$	14.6153	−	2.81687i	0.784591	−	0.151218i	0.565787	+	0.824551i	$0.308572\pi$
$348$	−17.4017	−	0.828943i	−0.932827	−	0.0444360i
$349$	5.58753	+	0.803365i	0.299093	+	0.0430031i	0.290228	−	0.956958i	$-0.406269\pi$
$349$	5.58753	+	0.803365i	0.299093	+	0.0430031i	0.00886554	+	0.999961i	$0.497178\pi$
$350$	4.19529	+	1.25597i	0.224247	+	0.0671342i
$351$	0.775108	+	5.39099i	0.0413722	+	0.287750i
$352$	13.0454	−	3.16479i	0.695324	−	0.168684i
$353$	−20.0133	+	0.953351i	−1.06520	+	0.0507418i	−0.572854	−	0.819657i	$-0.694164\pi$
$353$	−20.0133	+	0.953351i	−1.06520	+	0.0507418i	−0.492347	+	0.870399i	$0.663861\pi$
$354$	0.640762	+	0.0611854i	0.0340561	+	0.00325197i
$355$	−2.74783	−	2.62005i	−0.145840	−	0.139058i
$356$	−18.1702	+	20.9696i	−0.963020	+	1.11138i
$357$	13.8669	+	0.734023i	0.733912	+	0.0388486i
$358$	5.39411	−	1.58385i	0.285088	−	0.0837093i
$359$	−26.7748	−	19.0662i	−1.41312	−	1.00628i	−0.995207	−	0.0977888i	$-0.968823\pi$
$359$	−26.7748	−	19.0662i	−1.41312	−	1.00628i	−0.417911	−	0.908488i	$-0.637238\pi$
$360$	0.0344937	+	0.724112i	0.00181798	+	0.0381640i
$361$	−13.3333	+	12.7133i	−0.701754	+	0.669121i
$362$	−5.48704	+	4.31506i	−0.288393	+	0.226794i
$363$	0.932515	+	0.425865i	0.0489443	+	0.0223521i
$364$	−23.3497	−	13.6460i	−1.22386	−	0.715244i
$365$	4.63528	−	7.21263i	0.242621	−	0.377526i
$366$	−2.31105	−	0.799864i	−0.120801	−	0.0418095i
$367$	8.88077	−	15.3819i	0.463573	−	0.802931i	−0.535563	−	0.844495i	$-0.679901\pi$
$367$	8.88077	−	15.3819i	0.463573	−	0.802931i	0.999136	+	0.0415639i	$0.0132340\pi$
$368$	−12.8340	−	9.06337i	−0.669019	−	0.472461i
$369$	0.240234	−	0.138699i	0.0125061	−	0.00722039i
$370$	0.207266	−	0.179597i	0.0107753	−	0.00933682i
$371$	−24.2794	+	17.0966i	−1.26052	+	0.887614i
$372$	1.56505	−	10.8852i	0.0811441	−	0.564370i
$373$	2.88992	+	30.2646i	0.149634	+	1.56704i	0.688868	+	0.724886i	$0.258108\pi$
$373$	2.88992	+	30.2646i	0.149634	+	1.56704i	−0.539234	+	0.842156i	$0.681286\pi$
$374$	2.37408	−	5.93017i	0.122761	−	0.306642i
$375$	−3.57231	−	3.74653i	−0.184473	−	0.193470i
$376$	2.73814	−	5.31124i	0.141209	−	0.273906i
$377$	45.9872	−	21.0017i	2.36846	−	1.08164i
$378$	0.753533	+	0.542612i	0.0387576	+	0.0279090i
$379$	10.8858	+	9.43262i	0.559167	+	0.484521i	0.887985	−	0.459872i	$-0.152105\pi$
$379$	10.8858	+	9.43262i	0.559167	+	0.484521i	−0.328818	+	0.944393i	$0.606650\pi$
$380$	−0.745863	−	0.143753i	−0.0382620	−	0.00737439i
$381$	−0.484844	−	0.117622i	−0.0248393	−	0.00602595i
$382$	0.877622	−	9.19087i	0.0449030	−	0.470246i
$383$	−4.72603	−	2.43644i	−0.241489	−	0.124496i	0.333234	−	0.942844i	$-0.391860\pi$
$383$	−4.72603	−	2.43644i	−0.241489	−	0.124496i	−0.574723	+	0.818348i	$0.694890\pi$
$384$	−2.69475	+	9.17747i	−0.137516	+	0.468336i
$385$	−1.35237	−	4.69743i	−0.0689231	−	0.239403i
$386$	0.828687	−	1.81457i	0.0421791	−	0.0923593i
$387$	−1.20958	−	3.02139i	−0.0614864	−	0.153586i
$388$	−6.55117	+	3.37736i	−0.332585	+	0.171460i
$389$	−0.186929	−	0.969882i	−0.00947770	−	0.0491750i	0.976882	−	0.213779i	$-0.0685774\pi$
$389$	−0.186929	−	0.969882i	−0.00947770	−	0.0491750i	−0.986360	+	0.164604i	$0.947365\pi$
$390$	−0.509218	−	0.881992i	−0.0257853	−	0.0446614i
$391$	−23.7541	+	8.32591i	−1.20130	+	0.421059i
$392$	−9.16647	+	2.58661i	−0.462977	+	0.130644i
$393$	−3.91782	−	4.52141i	−0.197628	−	0.228075i
$394$	−0.250478	+	5.25817i	−0.0126189	+	0.264903i
$395$	4.25969	−	5.41664i	0.214328	−	0.272541i
$396$	−5.30152	+	3.77519i	−0.266411	+	0.189711i
$397$	6.41321	+	8.15506i	0.321870	+	0.409291i	0.919881	−	0.392197i	$-0.128285\pi$
$397$	6.41321	+	8.15506i	0.321870	+	0.409291i	−0.598012	+	0.801487i	$0.704042\pi$
$398$	2.10380	+	0.617731i	0.105454	+	0.0309641i
$399$	−1.52582	+	1.30808i	−0.0763867	+	0.0654859i
$400$	−6.41840	−	14.0543i	−0.320920	−	0.702717i
$401$	−10.8385	+	11.3671i	−0.541250	+	0.567647i	−0.936384	−	0.350977i	$-0.885850\pi$
$401$	−10.8385	+	11.3671i	−0.541250	+	0.567647i	0.395134	+	0.918623i	$0.370698\pi$
$402$	0.402546	+	1.16308i	0.0200772	+	0.0580091i
$403$	10.4377	+	30.1578i	0.519939	+	1.50227i
$404$	2.88403	−	3.02469i	0.143486	−	0.150484i
$405$	−0.221329	−	0.484644i	−0.0109979	−	0.0240821i
$406$	2.86211	−	8.13027i	0.142044	−	0.403498i
$407$	4.87996	+	1.43288i	0.241891	+	0.0710255i
$408$	4.41446	+	5.61344i	0.218548	+	0.277907i
$409$	−11.6352	+	8.28536i	−0.575322	+	0.409685i	−0.830345	−	0.557250i	$-0.811856\pi$
$409$	−11.6352	+	8.28536i	−0.575322	+	0.409685i	0.255023	+	0.966935i	$0.417917\pi$
$410$	−0.0320646	+	0.0407735i	−0.00158356	+	0.00201366i
$411$	−0.570650	+	11.9794i	−0.0281481	+	0.590901i
$412$	−10.0412	−	11.5882i	−0.494695	−	0.570909i
$413$	1.82721	−	4.49517i	0.0899113	−	0.221193i
$414$	−1.63727	−	0.390401i	−0.0804676	−	0.0191872i
$415$	−1.13035	−	1.95782i	−0.0554865	−	0.0961055i
$416$	−3.99008	−	20.7025i	−0.195630	−	1.01502i
$417$	20.6439	−	10.6427i	1.01094	−	0.521174i
$418$	0.343604	+	0.858281i	0.0168062	+	0.0419799i
$419$	11.7300	−	25.6851i	0.573048	−	1.25480i	−0.372110	−	0.928189i	$-0.621366\pi$
$419$	11.7300	−	25.6851i	0.573048	−	1.25480i	0.945158	−	0.326612i	$-0.105907\pi$
$420$	2.56772	+	0.637309i	0.125292	+	0.0310975i
$421$	7.65441	−	26.0685i	0.373053	−	1.27050i	−0.532558	−	0.846394i	$-0.678769\pi$
$421$	7.65441	−	26.0685i	0.373053	−	1.27050i	0.905611	−	0.424109i	$-0.139413\pi$
$422$	1.31564	+	0.678260i	0.0640444	+	0.0330172i
$423$	−0.417459	+	4.37182i	−0.0202975	+	0.212565i
$424$	−14.8407	−	3.60032i	−0.720730	−	0.174847i
$425$	−24.3054	−	4.68448i	−1.17898	−	0.227231i
$426$	−1.89015	−	1.63783i	−0.0915783	−	0.0793530i
$427$	−10.7730	+	14.9606i	−0.521343	+	0.723996i
$428$	−16.5111	+	7.54035i	−0.798092	+	0.364477i
$429$	8.65441	−	16.7872i	0.417839	−	0.810494i
$430$	0.419959	+	0.440440i	0.0202522	+	0.0212399i
$431$	7.66783	−	19.1533i	0.369347	−	0.922583i	−0.620980	−	0.783826i	$-0.713265\pi$
$431$	7.66783	−	19.1533i	0.369347	−	0.922583i	0.990327	−	0.138757i	$-0.0443106\pi$
$432$	−0.311414	−	3.26128i	−0.0149829	−	0.156908i
$433$	0.0165654	−	0.115215i	0.000796081	−	0.00553686i	−0.989420	−	0.145083i	$-0.953655\pi$
$433$	0.0165654	−	0.115215i	0.000796081	−	0.00553686i	0.990216	+	0.139546i	$0.0445643\pi$
$434$	4.93719	+	2.28635i	0.236993	+	0.109748i
$435$	−3.73761	+	3.23866i	−0.179205	+	0.155282i
$436$	−32.8391	+	18.9597i	−1.57271	+	0.908003i
$437$	1.65661	−	3.24458i	0.0792466	−	0.155209i
$438$	2.82387	−	4.89109i	0.134930	−	0.233705i
$439$	−21.9213	−	7.58702i	−1.04624	−	0.362109i	−0.250739	−	0.968055i	$-0.580674\pi$
$439$	−21.9213	−	7.58702i	−1.04624	−	0.362109i	−0.795506	+	0.605946i	$0.792795\pi$
$440$	1.35910	−	2.11480i	0.0647926	−	0.100819i
$441$	5.54780	−	4.26872i	0.264181	−	0.203272i
$442$	−9.12597	−	4.16769i	−0.434078	−	0.198237i
$443$	18.5309	−	14.5729i	0.880430	−	0.692378i	−0.0719119	−	0.997411i	$-0.522910\pi$
$443$	18.5309	−	14.5729i	0.880430	−	0.692378i	0.952342	+	0.305033i	$0.0986676\pi$
$444$	−1.99219	+	1.89955i	−0.0945452	+	0.0901487i
$445$	0.374789	+	7.86779i	0.0177667	+	0.372969i
$446$	−1.56239	−	1.11257i	−0.0739814	−	0.0526819i
$447$	1.51014	−	0.443418i	0.0714273	−	0.0209729i
$448$	11.5202	+	7.48992i	0.544280	+	0.353866i
$449$	16.5723	−	19.1254i	0.782094	−	0.902585i	−0.215164	−	0.976578i	$-0.569029\pi$
$449$	16.5723	−	19.1254i	0.782094	−	0.902585i	0.997259	+	0.0739928i	$0.0235742\pi$
$450$	−1.19793	−	1.14222i	−0.0564708	−	0.0538448i
$451$	−0.957587	−	0.0914385i	−0.0450910	−	0.00430567i
$452$	−1.66532	+	0.0793291i	−0.0783301	+	0.00373132i
$453$	1.57685	−	0.382541i	0.0740871	−	0.0179733i
$454$	−0.299888	−	2.08577i	−0.0140744	−	0.0978899i
$455$	−7.47051	+	1.77058i	−0.350223	+	0.0830060i
$456$	−1.02305	−	0.147092i	−0.0479087	−	0.00688823i
$457$	−25.2203	−	1.20139i	−1.17976	−	0.0561987i	−0.551479	−	0.834189i	$-0.685936\pi$
$457$	−25.2203	−	1.20139i	−1.17976	−	0.0561987i	−0.628276	+	0.777990i	$0.716239\pi$
$458$	−0.226542	+	0.0436624i	−0.0105856	+	0.00204021i
$459$	−4.54535	−	2.62426i	−0.212159	−	0.122490i
$460$	−4.74408	+	0.701110i	−0.221194	+	0.0326894i
$461$			32.8550i			1.53021i	0.643905	+	0.765105i	$0.277313\pi$
$461$			32.8550i			1.53021i	−0.643905	+	0.765105i	$0.722687\pi$
$462$	−1.03707	−	3.04845i	−0.0482490	−	0.141827i
$463$	−12.0060	−	7.71582i	−0.557968	−	0.358585i	0.231062	−	0.972939i	$-0.425780\pi$
$463$	−12.0060	−	7.71582i	−0.557968	−	0.358585i	−0.789030	+	0.614355i	$0.789416\pi$
$464$	−28.2318	+	11.3023i	−1.31063	+	0.524696i
$465$	−1.81085	−	2.54298i	−0.0839762	−	0.117928i
$466$	2.18073	+	0.873034i	0.101021	+	0.0404425i
$467$	−4.47908	−	18.4630i	−0.207267	−	0.854366i	−0.976521	−	0.215423i	$-0.930887\pi$
$467$	−4.47908	−	18.4630i	−0.207267	−	0.854366i	0.769254	−	0.638943i	$-0.220628\pi$
$468$	5.52642	+	8.59928i	0.255459	+	0.397502i
$469$	9.26984	−	0.392492i	0.428041	−	0.0181236i
$470$	−0.231362	−	0.787948i	−0.0106719	−	0.0363453i
$471$	−2.96732	+	15.3959i	−0.136727	+	0.709407i
$472$	2.35817	−	0.816172i	0.108544	−	0.0375674i
$473$	−2.66072	+	10.9676i	−0.122340	+	0.504293i
$474$	2.63304	−	3.69758i	0.120939	−	0.169836i
$475$	3.01378	−	1.93684i	0.138282	−	0.0888683i
$476$	24.2460	−	9.55830i	1.11131	−	0.438104i
$477$	11.1094	−	1.59729i	0.508663	−	0.0731347i
$478$	−8.68264	+	0.829092i	−0.397135	+	0.0379218i
$479$	31.4035	+	24.6960i	1.43486	+	1.12839i	0.970028	+	0.242993i	$0.0781293\pi$
$479$	31.4035	+	24.6960i	1.43486	+	1.12839i	0.464836	+	0.885397i	$0.346113\pi$
$480$	0.945079	+	1.83320i	0.0431367	+	0.0836736i
$481$	2.61264	−	7.54871i	0.119126	−	0.344192i
$482$	10.1074			0.460378
$483$	−6.35923	+	10.9800i	−0.289355	+	0.499607i
$484$	1.92404			0.0874562
$485$	−0.684336	+	1.97726i	−0.0310741	+	0.0897827i
$486$	−0.160822	−	0.311951i	−0.00729503	−	0.0141504i
$487$	3.00668	+	2.36448i	0.136246	+	0.107145i	0.683956	−	0.729523i	$-0.260258\pi$
$487$	3.00668	+	2.36448i	0.136246	+	0.107145i	−0.547710	+	0.836668i	$0.684500\pi$
$488$	−9.43806	+	0.901226i	−0.427241	+	0.0407966i
$489$	16.3638	−	2.35276i	0.739998	−	0.106396i
$490$	−0.666414	+	1.12660i	−0.0301055	+	0.0508944i
$491$	−35.3476	+	22.7166i	−1.59522	+	1.02518i	−0.625730	+	0.780039i	$0.715199\pi$
$491$	−35.3476	+	22.7166i	−1.59522	+	1.02518i	−0.969487	+	0.245144i	$0.921165\pi$
$492$	0.301994	−	0.424091i	0.0136149	−	0.0191195i
$493$	−11.4859	+	47.3454i	−0.517298	+	2.13233i
$494$	1.37217	−	0.474913i	0.0617369	−	0.0213673i
$495$	−0.349656	+	1.81419i	−0.0157159	+	0.0815417i
$496$	−5.40817	−	18.4185i	−0.242834	−	0.827017i
$497$	−15.9146	+	10.1093i	−0.713869	+	0.453463i
$498$	−0.805116	−	1.25279i	−0.0360781	−	0.0561387i
$499$	−1.22473	−	5.04840i	−0.0548264	−	0.225998i	0.937806	−	0.347159i	$-0.112853\pi$
$499$	−1.22473	−	5.04840i	−0.0548264	−	0.225998i	−0.992633	+	0.121161i	$0.961338\pi$
$500$	−9.01973	−	3.61096i	−0.403375	−	0.161487i
$501$	−10.7926	−	15.1561i	−0.482179	−	0.677125i
$502$	−1.42676	+	0.571189i	−0.0636795	+	0.0254934i
$503$	23.4582	+	15.0757i	1.04595	+	0.672191i	0.946451	−	0.322846i	$-0.104640\pi$
$503$	23.4582	+	15.0757i	1.04595	+	0.672191i	0.0994986	+	0.995038i	$0.468276\pi$
$504$	3.53119	+	0.699955i	0.157292	+	0.0311785i
$505$		−	1.18641i		−	0.0527946i
$506$	3.83957	+	4.39612i	0.170690	+	0.195431i
$507$	−14.4311	−	8.33180i	−0.640908	−	0.370028i
$508$	−0.919440	+	0.177207i	−0.0407935	+	0.00786231i
$509$	2.91727	+	0.138967i	0.129306	+	0.00615959i	0.112135	−	0.993693i	$-0.464231\pi$
$509$	2.91727	+	0.138967i	0.129306	+	0.00615959i	0.0171707	+	0.999853i	$0.494534\pi$
$510$	0.971438	+	0.139672i	0.0430160	+	0.00618477i
$511$	−29.2172	−	30.9681i	−1.29249	−	1.36995i
$512$	3.07360	+	21.3774i	0.135835	+	0.944756i
$513$	0.738212	−	0.179088i	0.0325929	−	0.00790694i
$514$	−1.34293	+	0.0639718i	−0.0592343	+	0.00282168i
$515$	−4.33311	−	0.413762i	−0.190940	−	0.0182325i
$516$	−4.42067	−	4.21510i	−0.194609	−	0.185559i
$517$	9.97305	−	11.5095i	0.438614	−	0.506188i
$518$	−0.617650	−	1.21378i	−0.0271380	−	0.0533304i
$519$	12.6814	−	3.72360i	0.556653	−	0.163448i
$520$	−3.21619	−	2.29024i	−0.141039	−	0.100434i
$521$	−0.173808	−	3.64868i	−0.00761466	−	0.159851i	−0.999472	−	0.0324964i	$-0.989654\pi$
$521$	−0.173808	−	3.64868i	−0.00761466	−	0.159851i	0.991857	−	0.127355i	$-0.0406488\pi$
$522$	−2.35778	+	2.24814i	−0.103197	+	0.0983985i
$523$	1.06866	−	0.840404i	0.0467293	−	0.0367483i	−0.594521	−	0.804080i	$-0.702658\pi$
$523$	1.06866	−	0.840404i	0.0467293	−	0.0367483i	0.641250	+	0.767332i	$0.278416\pi$
$524$	−10.2137	−	4.66446i	−0.446189	−	0.203768i
$525$	−10.8388	+	6.18167i	−0.473046	+	0.269790i
$526$	2.06380	−	3.21133i	0.0899858	−	0.140021i
$527$	−29.0619	−	10.0584i	−1.26596	−	0.438151i
$528$	−5.68033	+	9.83863i	−0.247205	+	0.428171i
$529$	3.09446	−	22.7909i	0.134542	−	0.990908i
$530$	−1.81754	+	1.04936i	−0.0789491	+	0.0455813i
$531$	−1.38606	+	1.20102i	−0.0601497	+	0.0521200i
$532$	−1.58505	+	3.42280i	−0.0687208	+	0.148397i
$533$	−0.215014	+	1.49545i	−0.00931327	+	0.0647752i
$534$	0.493211	+	5.16514i	0.0213433	+	0.223518i
$535$	−1.91510	+	4.78369i	−0.0827970	+	0.206817i
$536$	3.29270	+	3.45328i	0.142223	+	0.149159i
$537$	−7.33995	+	14.2375i	−0.316742	+	0.614394i
$538$	2.78217	−	1.27058i	0.119948	−	0.0547785i
$539$	−24.2575	+	0.898693i	−1.04484	+	0.0387094i
$540$	−0.755715	−	0.654831i	−0.0325208	−	0.0281794i
$541$	5.69833	+	1.09826i	0.244990	+	0.0472180i	0.310268	−	0.950649i	$-0.399581\pi$
$541$	5.69833	+	1.09826i	0.244990	+	0.0472180i	−0.0652776	+	0.997867i	$0.520793\pi$
$542$	−5.51269	−	1.33736i	−0.236790	−	0.0574447i
$543$	1.89061	−	19.7993i	0.0811337	−	0.849671i
$544$	18.0588	+	9.30996i	0.774264	+	0.399161i
$545$	−3.03271	+	10.3285i	−0.129907	+	0.442423i
$546$	−4.85999	+	1.39917i	−0.207988	+	0.0598788i
$547$	11.7675	−	25.7673i	0.503143	−	1.10173i	−0.472293	−	0.881442i	$-0.656573\pi$
$547$	11.7675	−	25.7673i	0.503143	−	1.10173i	0.975435	−	0.220287i	$-0.0706993\pi$
$548$	8.36565	+	20.8964i	0.357363	+	0.892649i
$549$	6.19347	−	3.19296i	0.264331	−	0.136272i
$550$	1.08626	+	5.63607i	0.0463184	+	0.240323i
$551$	−3.52556	−	6.10646i	−0.150194	−	0.260144i
$552$	−6.40255	+	1.26007i	−0.272511	+	0.0536321i
$553$	−21.0105	−	27.0095i	−0.893457	−	1.14856i
$554$	0.728638	+	0.840894i	0.0309569	+	0.0357261i
$555$	−0.0371816	+	0.780537i	−0.00157827	+	0.0331320i
$556$	26.9460	−	34.2646i	1.14276	−	1.45314i
$557$	27.3818	−	19.4985i	1.16020	−	0.826176i	0.172886	−	0.984942i	$-0.444691\pi$
$557$	27.3818	−	19.4985i	1.16020	−	0.826176i	0.987316	+	0.158765i	$0.0507513\pi$
$558$	−1.27122	−	1.61649i	−0.0538150	−	0.0684313i
$559$	17.0075	+	4.99384i	0.719339	+	0.211217i
$560$	4.53921	−	0.850008i	0.191817	−	0.0359194i
$561$	7.56073	+	16.5557i	0.319214	+	0.698982i
$562$	3.47969	−	3.64939i	0.146782	−	0.153940i
$563$	−8.62444	−	24.9187i	−0.363477	−	1.05020i	−0.967422	−	0.253171i	$-0.918527\pi$
$563$	−8.62444	−	24.9187i	−0.363477	−	1.05020i	0.603945	−	0.797026i	$-0.293595\pi$
$564$	2.69585	+	7.78913i	0.113516	+	0.327982i
$565$	−0.326605	+	0.342533i	−0.0137404	+	0.0144105i
$566$	−2.01326	−	4.40842i	−0.0846236	−	0.185300i
$567$	−2.60055	+	0.486976i	−0.109213	+	0.0204511i
$568$	−9.30330	−	2.73170i	−0.390358	−	0.114619i
$569$	26.7146	+	33.9704i	1.11994	+	1.42411i	0.892915	+	0.450224i	$0.148656\pi$
$569$	26.7146	+	33.9704i	1.11994	+	1.42411i	0.227020	+	0.973890i	$0.427102\pi$
$570$	−0.115705	+	0.0823932i	−0.00484635	+	0.00345107i
$571$	−6.20281	+	7.88752i	−0.259580	+	0.330082i	−0.898321	−	0.439339i	$-0.855213\pi$
$571$	−6.20281	+	7.88752i	−0.259580	+	0.330082i	0.638742	+	0.769421i	$0.279455\pi$
$572$	1.68664	−	35.4069i	0.0705220	−	1.48044i
$573$	17.2271	+	19.8811i	0.719672	+	0.830545i
$574$	0.158155	+	0.203313i	0.00660128	+	0.00848611i
$575$	13.9115	−	17.8335i	0.580150	−	0.743709i
$576$	−2.59680	−	4.49779i	−0.108200	−	0.187408i
$577$	−5.07691	−	26.3415i	−0.211355	−	1.09661i	−0.920260	−	0.391308i	$-0.872023\pi$
$577$	−5.07691	−	26.3415i	−0.211355	−	1.09661i	0.708905	−	0.705304i	$-0.249189\pi$
$578$	3.29012	−	1.69617i	0.136851	−	0.0705515i
$579$	2.11248	+	5.27671i	0.0877916	+	0.219293i
$580$	−3.85587	+	8.44317i	−0.160106	+	0.350584i
$581$	−10.7880	+	3.10583i	−0.447564	+	0.128851i
$582$	−0.388308	+	1.32246i	−0.0160959	+	0.0548176i
$583$	−34.5939	−	17.8344i	−1.43273	−	0.738624i
$584$	2.08128	−	21.7962i	0.0861240	−	0.901932i
$585$	2.82001	+	0.684127i	0.116593	+	0.0282852i
$586$	1.33575	+	0.257445i	0.0551795	+	0.0106350i
$587$	21.8205	+	18.9076i	0.900629	+	0.780400i	0.976230	−	0.216739i	$-0.0695419\pi$
$587$	21.8205	+	18.9076i	0.900629	+	0.780400i	−0.0756005	+	0.997138i	$0.524087\pi$
$588$	6.14315	−	11.6130i	0.253339	−	0.478913i
$589$	4.04874	−	1.84900i	0.166825	−	0.0761866i
$590$	0.157147	−	0.304822i	0.00646962	−	0.0125493i
$591$	−10.3505	−	10.8553i	−0.425762	−	0.446526i
$592$	−1.78581	+	4.46075i	−0.0733965	+	0.183336i
$593$	1.67755	+	17.5681i	0.0688887	+	0.721435i	0.962263	+	0.272122i	$0.0877253\pi$
$593$	1.67755	+	17.5681i	0.0688887	+	0.721435i	−0.893374	+	0.449314i	$0.851669\pi$
$594$	−0.173205	+	1.20467i	−0.00710669	+	0.0494281i
$595$	3.10896	−	6.71356i	0.127455	−	0.275229i
$596$	2.23243	−	1.93441i	0.0914438	−	0.0792365i
$597$	−5.41038	+	3.12369i	−0.221432	+	0.127844i
$598$	7.18368	−	5.69508i	0.293763	−	0.232889i
$599$	−15.8246	+	27.4090i	−0.646576	+	1.11990i	0.337359	+	0.941376i	$0.390466\pi$
$599$	−15.8246	+	27.4090i	−0.646576	+	1.11990i	−0.983935	+	0.178527i	$0.942867\pi$
$600$	−6.06400	−	2.09877i	−0.247562	−	0.0856820i
$601$	−19.6546	+	30.5831i	−0.801726	+	1.24751i	0.163616	+	0.986524i	$0.447684\pi$
$601$	−19.6546	+	30.5831i	−0.801726	+	1.24751i	−0.965343	+	0.260986i	$0.915952\pi$
$602$	2.62511	−	1.49717i	0.106992	−	0.0610200i
$603$	−3.18991	−	1.45678i	−0.129903	−	0.0593247i
$604$	2.39378	−	1.88249i	0.0974016	−	0.0765975i
$605$	0.395299	−	0.376917i	0.0160712	−	0.0153239i
$606$	−0.0371865	−	0.780641i	−0.00151060	−	0.0317114i
$607$	9.12262	+	6.49619i	0.370276	+	0.263672i	0.750014	−	0.661422i	$-0.230047\pi$
$607$	9.12262	+	6.49619i	0.370276	+	0.263672i	−0.379739	+	0.925094i	$0.623986\pi$
$608$	−2.82145	+	0.828451i	−0.114425	+	0.0335981i
$609$	11.1380	+	21.8880i	0.451336	+	0.886945i
$610$	−0.853265	+	0.984720i	−0.0345477	+	0.0398701i
$611$	−17.3111	−	16.5061i	−0.700332	−	0.667765i
$612$	−9.80593	−	0.936353i	−0.396381	−	0.0378498i
$613$	22.1692	−	1.05605i	0.895407	−	0.0426535i	0.405169	−	0.914242i	$-0.367213\pi$
$613$	22.1692	−	1.05605i	0.895407	−	0.0426535i	0.490238	+	0.871589i	$0.336910\pi$
$614$	3.71127	−	0.900343i	0.149774	−	0.0363349i
$615$	−0.0210335	−	0.146291i	−0.000848151	−	0.00589902i
$616$	−8.56672	−	9.08011i	−0.345163	−	0.365848i
$617$	−4.92415	−	0.707986i	−0.198239	−	0.0285024i	0.0424801	−	0.999097i	$-0.486474\pi$
$617$	−4.92415	−	0.707986i	−0.198239	−	0.0285024i	−0.240719	+	0.970595i	$0.577383\pi$
$618$	−2.86409	−	0.136434i	−0.115211	−	0.00548816i
$619$	25.2671	−	4.86984i	1.01557	−	0.195735i	0.345805	−	0.938307i	$-0.387606\pi$
$619$	25.2671	−	4.86984i	1.01557	−	0.195735i	0.669767	+	0.742571i	$0.266394\pi$
$620$	−5.07418	−	2.92958i	−0.203784	−	0.117655i
$621$	4.02430	−	2.60864i	0.161490	−	0.104681i
$622$			8.29041i			0.332415i
$623$	38.3679	+	7.60531i	1.53718	+	0.304700i
$624$	15.0106	+	9.64671i	0.600904	+	0.386177i
$625$	19.3310	−	7.73897i	0.773241	−	0.309559i
$626$	2.74913	+	3.86061i	0.109877	+	0.154301i
$627$	−2.44548	−	0.979023i	−0.0976631	−	0.0390984i
$628$	6.93773	+	28.5977i	0.276845	+	1.14117i
$629$	4.16173	+	6.47578i	0.165939	+	0.258206i
$630$	0.417604	−	0.265270i	0.0166377	−	0.0105686i
$631$	−5.25921	−	17.9112i	−0.209366	−	0.713034i	−0.995482	−	0.0949550i	$-0.969729\pi$
$631$	−5.25921	−	17.9112i	−0.209366	−	0.713034i	0.786116	−	0.618079i	$-0.212089\pi$
$632$	3.33044	−	17.2799i	0.132478	−	0.687359i
$633$	−3.98550	+	1.37940i	−0.158409	+	0.0548260i
$634$	2.01506	−	8.30617i	0.0800281	−	0.329880i
$635$	−0.154187	+	0.216525i	−0.00611872	+	0.00859254i
$636$	17.7208	−	11.3884i	0.702674	−	0.451581i
$637$	−0.402926	+	38.1229i	−0.0159645	+	1.51048i
$638$	11.1822	−	1.60776i	0.442707	−	0.0636517i
$639$	7.09387	−	0.677382i	0.280629	−	0.0267968i
$640$	4.00581	+	3.15020i	0.158343	+	0.124523i
$641$	−0.570958	−	1.10750i	−0.0225515	−	0.0437438i	0.877291	−	0.479960i	$-0.159349\pi$
$641$	−0.570958	−	1.10750i	−0.0225515	−	0.0437438i	−0.899842	+	0.436216i	$0.856318\pi$
$642$	−1.11017	+	3.20762i	−0.0438149	+	0.126595i
$643$	13.9232			0.549078			0.274539	−	0.961576i	$-0.411475\pi$
$643$	13.9232			0.549078			0.274539	+	0.961576i	$0.411475\pi$
$644$	−2.29592	+	23.7033i	−0.0904720	+	0.934040i
$645$	−1.73397			−0.0682752
$646$	−0.457655	+	1.32231i	−0.0180062	+	0.0520255i
$647$	20.9991	+	40.7326i	0.825560	+	1.60136i	0.798705	+	0.601723i	$0.205519\pi$
$647$	20.9991	+	40.7326i	0.825560	+	1.60136i	0.0268548	+	0.999639i	$0.491451\pi$
$648$	−1.06953	−	0.841088i	−0.0420151	−	0.0330410i
$649$	6.33107	−	0.604544i	0.248516	−	0.0237304i
$650$	8.92319	−	1.28296i	0.349996	−	0.0503219i
$651$	−14.4224	+	5.68560i	−0.565256	+	0.222836i
$652$	26.1023	−	16.7749i	1.02224	−	0.656956i
$653$	0.713085	−	1.00139i	0.0279052	−	0.0391873i	−0.800388	−	0.599483i	$-0.795373\pi$
$653$	0.713085	−	1.00139i	0.0279052	−	0.0391873i	0.828293	+	0.560295i	$0.189312\pi$
$654$	−1.67175	+	6.89103i	−0.0653705	+	0.269461i
$655$	−3.01221	+	1.04254i	−0.117697	+	0.0407352i
$656$	0.171989	−	0.892364i	0.00671505	−	0.0348410i
$657$	4.53364	+	15.4402i	0.176874	+	0.602378i
$658$	−4.07436	+	0.172511i	−0.158835	+	0.00672519i
$659$	−6.97380	−	10.8514i	−0.271661	−	0.422712i	0.678440	−	0.734656i	$-0.262656\pi$
$659$	−6.97380	−	10.8514i	−0.271661	−	0.422712i	−0.950101	+	0.311944i	$0.899020\pi$
$660$	0.817511	+	3.36983i	0.0318216	+	0.131170i
$661$	39.0214	+	15.6218i	1.51776	+	0.607618i	0.972965	−	0.230954i	$-0.0741845\pi$
$661$	39.0214	+	15.6218i	1.51776	+	0.607618i	0.544792	+	0.838572i	$0.316609\pi$
$662$	−5.29079	−	7.42988i	−0.205632	−	0.288770i
$663$	26.5380	−	10.6242i	1.03065	−	0.412611i
$664$	−4.85683	−	3.12129i	−0.188481	−	0.121130i
$665$	0.344869	+	1.01374i	0.0133735	+	0.0393110i
$666$			0.514747i			0.0199460i
$667$	−33.7577	−	29.0200i	−1.30710	−	1.12366i
$668$	−30.2420	−	17.4602i	−1.17010	−	0.675556i
$669$	5.36628	−	1.03427i	0.207472	−	0.0399870i
$670$	0.655001	+	0.0312015i	0.0253049	+	0.00120542i
$671$	−23.9175	−	3.43881i	−0.923323	−	0.132754i
$672$	9.96580	−	2.36199i	0.384439	−	0.0911156i
$673$	−5.15872	−	35.8797i	−0.198854	−	1.38306i	−0.807617	−	0.589707i	$-0.799243\pi$
$673$	−5.15872	−	35.8797i	−0.198854	−	1.38306i	0.608763	−	0.793352i	$-0.291666\pi$
$674$	2.69614	−	0.654077i	0.103851	−	0.0251941i
$675$	4.71079	−	0.224403i	0.181318	−	0.00863726i
$676$	−31.1330	−	2.97284i	−1.19742	−	0.114340i
$677$	23.0896	+	22.0159i	0.887404	+	0.846138i	0.988882	−	0.148699i	$-0.0475087\pi$
$677$	23.0896	+	22.0159i	0.887404	+	0.846138i	−0.101478	+	0.994838i	$0.532357\pi$
$678$	−0.204165	+	0.235619i	−0.00784091	+	0.00904889i
$679$	8.71097	+	5.66347i	0.334297	+	0.217344i
$680$	3.65070	−	1.07194i	0.139998	−	0.0411071i
$681$	4.89075	+	3.48269i	0.187414	+	0.133457i
$682$	0.339318	+	7.12317i	0.0129932	+	0.272760i
$683$	−13.0837	+	12.4753i	−0.500633	+	0.477353i	−0.897806	−	0.440391i	$-0.854840\pi$
$683$	−13.0837	+	12.4753i	−0.500633	+	0.477353i	0.397173	+	0.917744i	$0.369991\pi$
$684$	1.12066	−	0.881297i	0.0428495	−	0.0336972i
$685$	5.81233	+	2.65440i	0.222078	+	0.101419i
$686$	4.63256	+	4.55951i	0.176872	+	0.174083i
$687$	0.355396	−	0.553008i	0.0135592	−	0.0210986i
$688$	−10.0757	−	3.48724i	−0.384134	−	0.132950i
$689$	−30.5643	+	52.9389i	−1.16441	+	2.01681i
$690$	−0.517313	+	0.732531i	−0.0196938	+	0.0278870i
$691$	−17.6991	+	10.2186i	−0.673305	+	0.388733i	−0.797328	−	0.603546i	$-0.793754\pi$
$691$	−17.6991	+	10.2186i	−0.673305	+	0.388733i	0.124022	+	0.992279i	$0.460421\pi$
$692$	18.7468	−	16.2442i	0.712647	−	0.617512i
$693$	8.32539	+	3.85538i	0.316255	+	0.146454i
$694$	0.743436	−	5.17071i	0.0282204	−	0.196277i
$695$	−1.17627	−	12.3185i	−0.0446185	−	0.467266i
$696$	−4.69407	+	11.7252i	−0.177928	+	0.444443i
$697$	−1.00471	−	1.05371i	−0.0380560	−	0.0399119i
$698$	0.907837	−	1.76096i	0.0343622	−	0.0666533i
$699$	−6.08812	+	2.78035i	−0.230274	+	0.105163i
$700$	−13.6847	+	19.0041i	−0.517231	+	0.718286i
$701$	8.81511	+	7.63833i	0.332942	+	0.288496i	0.805247	−	0.592939i	$-0.202033\pi$
$701$	8.81511	+	7.63833i	0.332942	+	0.288496i	−0.472305	+	0.881435i	$0.656578\pi$
$702$	1.87697	+	0.361756i	0.0708416	+	0.0136536i
$703$	−1.08270	−	0.262661i	−0.0408350	−	0.00990646i
$704$	−1.71196	+	17.9285i	−0.0645220	+	0.675705i
$705$	2.07975	+	1.07219i	0.0783281	+	0.0403809i
$706$	−1.98113	+	6.74711i	−0.0745608	+	0.253931i
$707$	−5.71803	−	1.41921i	−0.215049	−	0.0533750i
$708$	−1.42991	+	3.13106i	−0.0537392	+	0.117673i
$709$	−5.82108	−	14.5403i	−0.218615	−	0.546074i	0.778002	−	0.628262i	$-0.216233\pi$
$709$	−5.82108	−	14.5403i	−0.218615	−	0.546074i	−0.996617	+	0.0821880i	$0.973809\pi$
$710$	−1.18440	+	0.610599i	−0.0444496	+	0.0229154i
$711$	2.44771	+	12.6999i	0.0917963	+	0.476285i
$712$	10.0577	+	17.4205i	0.376929	+	0.652860i
$713$	20.2613	−	19.4715i	0.758790	−	0.729212i
$714$	1.83522	−	4.51487i	0.0686814	−	0.168965i
$715$	−6.58966	−	7.60487i	−0.246439	−	0.284406i
$716$	−1.43047	+	30.0292i	−0.0534591	+	1.12224i
$717$	15.3624	−	19.5348i	0.573718	−	0.729542i
$718$	−9.39703	+	6.69160i	−0.350694	+	0.249728i
$719$	18.6773	+	23.7501i	0.696544	+	0.885728i	0.997696	−	0.0678484i	$-0.0216134\pi$
$719$	18.6773	+	23.7501i	0.696544	+	0.885728i	−0.301152	+	0.953576i	$0.597371\pi$
$720$	−1.67478	−	0.491759i	−0.0624153	−	0.0183268i
$721$	−7.17755	+	20.3889i	−0.267306	+	0.759323i
$722$	2.68601	+	5.88153i	0.0999628	+	0.218888i
$723$	−19.8734	+	20.8426i	−0.739100	+	0.775145i
$724$	−12.2091	−	35.2758i	−0.453747	−	1.31102i
$725$	−14.3180	−	41.3693i	−0.531759	−	1.53642i
$726$	0.248287	−	0.260396i	0.00921479	−	0.00966420i
$727$	−17.6141	−	38.5694i	−0.653270	−	1.43046i	−0.888663	−	0.458561i	$-0.848365\pi$
$727$	−17.6141	−	38.5694i	−0.653270	−	1.43046i	0.235393	−	0.971900i	$-0.424362\pi$
$728$	−14.8853	+	12.7611i	−0.551686	+	0.472958i
$729$	0.959493	+	0.281733i	0.0355368	+	0.0104345i
$730$	−1.86008	−	2.36529i	−0.0688447	−	0.0875432i
$731$	−13.9141	+	9.90816i	−0.514630	+	0.366467i
$732$	8.08419	−	10.2799i	0.298800	−	0.379955i
$733$	1.77474	−	37.2564i	0.0655515	−	1.37610i	−0.691328	−	0.722541i	$-0.742974\pi$
$733$	1.77474	−	37.2564i	0.0655515	−	1.37610i	0.756879	−	0.653555i	$-0.226723\pi$
$734$	−4.08220	−	4.71112i	−0.150677	−	0.173890i
$735$	−1.01285	−	3.58937i	−0.0373597	−	0.132396i
$736$	−15.0802	+	10.8280i	−0.555864	+	0.399126i
$737$	6.08034	+	10.5314i	0.223972	+	0.387931i
$738$	−0.0184250	−	0.0955980i	−0.000678234	−	0.00351901i
$739$	38.9205	−	20.0649i	1.43171	−	0.738100i	0.444244	−	0.895906i	$-0.353472\pi$
$739$	38.9205	−	20.0649i	1.43171	−	0.738100i	0.987470	+	0.157806i	$0.0504420\pi$
$740$	0.545077	+	1.36154i	0.0200374	+	0.0500511i
$741$	−1.71867	+	3.76337i	−0.0631370	+	0.138251i
$742$	2.88330	+	10.0151i	0.105849	+	0.367666i
$743$	7.19577	−	24.5066i	0.263987	−	0.899058i	−0.715680	−	0.698429i	$-0.753883\pi$
$743$	7.19577	−	24.5066i	0.263987	−	0.899058i	0.979667	−	0.200630i	$-0.0642988\pi$
$744$	−7.08627	−	3.65322i	−0.259795	−	0.133934i
$745$	0.0797100	−	0.834761i	0.00292035	−	0.0305833i
$746$	10.3694	+	2.51559i	0.379650	+	0.0921022i
$747$	4.16644	+	0.803015i	0.152442	+	0.0293808i
$748$	25.8156	+	22.3694i	0.943913	+	0.817906i
$749$	20.7646	+	14.9524i	0.758721	+	0.546348i
$750$	−1.65265	+	0.754740i	−0.0603463	+	0.0275592i
$751$	8.94389	−	17.3487i	0.326367	−	0.633064i	−0.667380	−	0.744717i	$-0.732584\pi$
$751$	8.94389	−	17.3487i	0.326367	−	0.633064i	0.993747	+	0.111653i	$0.0356146\pi$
$752$	9.92867	+	10.4129i	0.362061	+	0.379719i
$753$	1.62748	−	4.06524i	0.0593086	−	0.148146i
$754$	−1.68662	−	17.6631i	−0.0614230	−	0.643250i
$755$	0.123032	−	0.855703i	0.00447758	−	0.0311422i
$756$	−4.06003	+	2.85892i	−0.147662	+	0.103978i
$757$	10.5129	−	9.10948i	0.382098	−	0.331090i	−0.442542	−	0.896748i	$-0.645923\pi$
$757$	10.5129	−	9.10948i	0.382098	−	0.331090i	0.824640	+	0.565658i	$0.191378\pi$
$758$	4.37803	−	2.52766i	0.159017	−	0.0918087i
$759$	−16.6148	−	0.726120i	−0.603079	−	0.0263565i
$760$	−0.275338	+	0.476900i	−0.00998758	+	0.0172990i
$761$	34.0806	+	11.7954i	1.23542	+	0.427583i	0.865231	−	0.501373i	$-0.167172\pi$
$761$	34.0806	+	11.7954i	1.23542	+	0.427583i	0.370189	+	0.928956i	$0.379293\pi$
$762$	−0.0946660	+	0.147303i	−0.00342939	+	0.00533623i
$763$	46.1513	+	26.9716i	1.67079	+	0.976438i
$764$	44.9109	+	20.5101i	1.62482	+	0.742030i
$765$	−2.19809	+	1.72860i	−0.0794721	+	0.0624975i
$766$	−1.35058	+	1.28777i	−0.0487983	+	0.0465291i
$767$	−0.475288	−	9.97752i	−0.0171616	−	0.360267i
$768$	−5.72667	−	4.07795i	−0.206644	−	0.147150i
$769$	−15.2684	+	4.48322i	−0.550594	+	0.161669i	−0.545184	−	0.838316i	$-0.683540\pi$
$769$	−15.2684	+	4.48322i	−0.550594	+	0.161669i	−0.00540982	+	0.999985i	$0.501722\pi$
$770$	−1.71320	−	0.0906860i	−0.0617395	−	0.00326810i
$771$	2.50860	−	2.89507i	0.0903449	−	0.104264i
$772$	7.72050	+	7.36149i	0.277867	+	0.264946i
$773$	−0.713393	−	0.0681208i	−0.0256590	−	0.00245013i	0.0822187	−	0.996614i	$-0.473799\pi$
$773$	−0.713393	−	0.0681208i	−0.0256590	−	0.00245013i	−0.107878	+	0.994164i	$0.534405\pi$
$774$	−1.14093	+	0.0543492i	−0.0410099	+	0.00195354i
$775$	26.8549	−	6.51493i	0.964656	−	0.234023i
$776$	0.760441	+	5.28898i	0.0272982	+	0.189863i
$777$	3.71740	+	1.11290i	0.133361	+	0.0399250i
$778$	−0.343132	−	0.0493349i	−0.0123019	−	0.00176874i
$779$	0.210480	+	0.0100264i	0.00754122	+	0.000359233i
$780$	5.34776	−	1.03070i	0.191481	−	0.0369049i
$781$	−21.4008	−	12.3558i	−0.765781	−	0.442124i
$782$	0.0346689	+	8.83410i	0.00123976	+	0.315907i
$783$		−	9.28239i		−	0.331725i
$784$	1.33322	−	22.8940i	0.0476149	−	0.817642i
$785$	7.02764	+	4.51639i	0.250827	+	0.161197i
$786$	−1.94931	+	0.780386i	−0.0695296	+	0.0278355i
$787$	6.12378	+	8.59964i	0.218289	+	0.306544i	0.909171	−	0.416424i	$-0.136717\pi$
$787$	6.12378	+	8.59964i	0.218289	+	0.306544i	−0.690881	+	0.722968i	$0.742777\pi$
$788$	−26.1340	−	10.4625i	−0.930984	−	0.372710i
$789$	2.56426	+	10.5700i	0.0912899	+	0.376302i
$790$	−1.30753	−	2.03456i	−0.0465199	−	0.0723863i
$791$	1.26018	+	1.98385i	0.0448069	+	0.0705377i
$792$	1.32930	+	4.52718i	0.0472347	+	0.160866i
$793$	−7.18230	+	37.2653i	−0.255051	+	1.32333i
$794$	3.44090	−	1.19091i	0.122113	−	0.0422637i
$795$	1.40980	−	5.81127i	0.0500004	−	0.206105i
$796$	−6.80129	+	9.55108i	−0.241065	+	0.338529i
$797$	−11.1459	+	7.16303i	−0.394808	+	0.253727i	−0.722949	−	0.690901i	$-0.757214\pi$
$797$	−11.1459	+	7.16303i	−0.394808	+	0.253727i	0.328142	+	0.944629i	$0.393578\pi$
$798$	0.258693	+	0.656213i	0.00915764	+	0.0232297i
$799$	22.8153	−	3.28035i	0.807149	−	0.116050i
$800$	−18.1738	+	1.73539i	−0.642541	+	0.0613553i
$801$	−11.6209	−	9.13878i	−0.410605	−	0.322903i
$802$	2.52590	+	4.89957i	0.0891927	+	0.173010i
$803$	18.2513	−	52.7336i	0.644074	−	1.86093i
$804$	−6.58166			−0.232117
$805$	4.17175	+	5.31968i	0.147035	+	0.187494i
$806$	11.2004			0.394516
$807$	−2.85031	+	8.23542i	−0.100336	+	0.289901i
$808$	−1.38835	−	2.69303i	−0.0488420	−	0.0947403i
$809$	−15.8218	−	12.4424i	−0.556265	−	0.437451i	0.300037	−	0.953928i	$-0.403001\pi$
$809$	−15.8218	−	12.4424i	−0.556265	−	0.437451i	−0.856302	+	0.516476i	$0.827243\pi$
$810$	−0.186145	+	0.0177747i	−0.00654046	+	0.000624538i
$811$	15.0366	−	2.16194i	0.528007	−	0.0759160i	0.126844	−	0.991923i	$-0.459515\pi$
$811$	15.0366	−	2.16194i	0.528007	−	0.0759160i	0.401163	+	0.916007i	$0.368606\pi$
$812$	36.0802	+	28.6837i	1.26617	+	1.00660i
$813$	13.5970	−	8.73826i	0.476868	−	0.306464i
$814$	1.03540	−	1.45402i	0.0362909	−	0.0509634i
$815$	2.07660	−	8.55987i	0.0727402	−	0.299839i
$816$	−16.2490	+	5.62384i	−0.568829	+	0.196874i
$817$	0.467868	−	2.42753i	0.0163686	−	0.0849286i
$818$	1.41235	+	4.81003i	0.0493817	+	0.168179i
$819$	6.67059	−	12.7730i	0.233089	−	0.446323i
$820$	−0.149966	−	0.233352i	−0.00523704	−	0.00814899i
$821$	−4.64699	−	19.1551i	−0.162181	−	0.668519i	−0.993608	−	0.112885i	$-0.963991\pi$
$821$	−4.64699	−	19.1551i	−0.162181	−	0.668519i	0.831427	−	0.555634i	$-0.187524\pi$
$822$	3.90763	+	1.56438i	0.136294	+	0.0545639i
$823$	15.3080	+	21.4971i	0.533603	+	0.749341i	0.990097	−	0.140386i	$-0.0448343\pi$
$823$	15.3080	+	21.4971i	0.533603	+	0.749341i	−0.456494	+	0.889727i	$0.650895\pi$
$824$	−10.3199	+	4.13146i	−0.359511	+	0.143926i
$825$	−13.7581	−	8.84179i	−0.478995	−	0.307832i
$826$	−1.28114	−	1.12202i	−0.0445764	−	0.0390400i
$827$			11.3511i			0.394715i	0.980332	+	0.197357i	$0.0632360\pi$
$827$			11.3511i			0.394715i	−0.980332	+	0.197357i	$0.936764\pi$
$828$	4.83651	−	7.59110i	0.168081	−	0.263809i
$829$	−2.82708	−	1.63221i	−0.0981884	−	0.0566891i	0.450102	−	0.892977i	$-0.351388\pi$
$829$	−2.82708	−	1.63221i	−0.0981884	−	0.0566891i	−0.548290	+	0.836288i	$0.684721\pi$
$830$	−0.779088	+	0.150157i	−0.0270425	+	0.00521202i
$831$	−3.16669	−	0.150848i	−0.109851	−	0.00523286i
$832$	27.9987	+	4.02560i	0.970680	+	0.139563i
$833$	−28.6376	−	23.0149i	−0.992236	−	0.797418i
$834$	−1.16007	−	8.06849i	−0.0401701	−	0.279389i
$835$	−9.63375	+	2.33712i	−0.333390	+	0.0808795i
$836$	−4.93828	+	0.235239i	−0.170794	+	0.00813591i
$837$	5.83290	+	0.556974i	0.201614	+	0.0192518i
$838$	−7.17233	−	6.83880i	−0.247764	−	0.236242i
$839$	−23.9737	+	27.6672i	−0.827665	+	0.955176i	−0.999552	−	0.0299406i	$-0.990468\pi$
$839$	−23.9737	+	27.6672i	−0.827665	+	0.955176i	0.171887	+	0.985117i	$0.445014\pi$
$840$	1.04546	−	1.60802i	0.0360717	−	0.0554818i
$841$	−54.8472	+	16.1046i	−1.89128	+	0.555331i
$842$	−7.76732	−	5.53109i	−0.267680	−	0.190614i
$843$	0.683626	+	14.3511i	0.0235453	+	0.494277i
$844$	−5.72866	+	5.46227i	−0.197189	+	0.188019i
$845$	−6.97875	+	5.48815i	−0.240076	+	0.188798i
$846$	1.40205	+	0.640296i	0.0482036	+	0.0220138i
$847$	−1.34372	−	2.35606i	−0.0461709	−	0.0809552i
$848$	19.8792	−	30.9327i	0.682656	−	1.06223i
$849$	13.0492	+	4.51638i	0.447848	+	0.155002i
$850$	−4.34368	+	7.52347i	−0.148987	+	0.258053i
$851$	−6.99932	+	0.696083i	−0.239934	+	0.0238614i
$852$	11.5827	−	6.68725i	0.396815	−	0.229101i
$853$	18.3281	−	15.8813i	0.627541	−	0.543767i	−0.281983	−	0.959419i	$-0.590992\pi$
$853$	18.3281	−	15.8813i	0.627541	−	0.543767i	0.909524	+	0.415652i	$0.136447\pi$
$854$	3.72526	+	5.29034i	0.127476	+	0.181032i
$855$	0.0575978	−	0.400602i	0.00196980	−	0.0137003i
$856$	1.25085	+	13.0995i	0.0427533	+	0.447733i
$857$	−1.73841	+	4.34235i	−0.0593831	+	0.148332i	−0.955092	−	0.296309i	$-0.904244\pi$
$857$	−1.73841	+	4.34235i	−0.0593831	+	0.148332i	0.895709	+	0.444640i	$0.146669\pi$
$858$	−4.57426	−	4.79735i	−0.156163	−	0.163779i
$859$	20.2943	−	39.3654i	0.692431	−	1.34313i	−0.236046	−	0.971742i	$-0.575852\pi$
$859$	20.2943	−	39.3654i	0.692431	−	1.34313i	0.928478	−	0.371388i	$-0.121118\pi$
$860$	−2.96027	+	1.35191i	−0.100944	+	0.0460998i
$861$	−0.730225	−	0.0736240i	−0.0248860	−	0.00250910i
$862$	−5.47226	−	4.74174i	−0.186386	−	0.161504i
$863$	−47.6690	−	9.18745i	−1.62267	−	0.312745i	−0.704735	−	0.709470i	$-0.748934\pi$
$863$	−47.6690	−	9.18745i	−1.62267	−	0.312745i	−0.917937	+	0.396726i	$0.870146\pi$
$864$	−3.76195	−	0.912639i	−0.127984	−	0.0310486i
$865$	0.669365	−	7.00991i	0.0227591	−	0.238344i
$866$	−0.0363109	−	0.0187196i	−0.00123390	−	0.000636117i
$867$	−2.97141	+	10.1197i	−0.100914	+	0.343683i
$868$	−20.1893	+	20.9511i	−0.685268	+	0.711126i
$869$	18.6315	−	40.7974i	0.632032	−	1.38396i
$870$	0.645105	+	1.61139i	0.0218711	+	0.0546314i
$871$	16.9764	−	8.75194i	0.575223	−	0.296548i
$872$	5.20256	+	26.9934i	0.176181	+	0.914113i
$873$	−1.96356	−	3.40099i	−0.0664565	−	0.115106i
$874$	−0.885946	−	0.921882i	−0.0299676	−	0.0311831i
$875$	1.87750	+	13.5669i	0.0634712	+	0.458644i
$876$	19.7780	+	22.8250i	0.668236	+	0.771186i
$877$	2.29936	−	48.2695i	0.0776439	−	1.62995i	−0.538720	−	0.842485i	$-0.681092\pi$
$877$	2.29936	−	48.2695i	0.0776439	−	1.62995i	0.616364	−	0.787461i	$-0.288605\pi$
$878$	−5.03267	+	6.39956i	−0.169844	+	0.215975i
$879$	−3.15728	+	2.24829i	−0.106492	+	0.0758329i
$880$	3.74163	+	4.75787i	0.126130	+	0.160388i
$881$	18.9362	+	5.56016i	0.637975	+	0.187326i	0.584695	−	0.811253i	$-0.301214\pi$
$881$	18.9362	+	5.56016i	0.637975	+	0.187326i	0.0532802	+	0.998580i	$0.483032\pi$
$882$	−0.778947	−	2.33000i	−0.0262285	−	0.0784553i
$883$	6.40509	+	14.0252i	0.215549	+	0.471986i	0.986260	−	0.165198i	$-0.0528264\pi$
$883$	6.40509	+	14.0252i	0.215549	+	0.471986i	−0.770712	+	0.637184i	$0.780099\pi$
$884$	37.0229	−	38.8285i	1.24521	−	1.30594i
$885$	0.319593	+	0.923404i	0.0107430	+	0.0310399i
$886$	−2.70612	−	7.81883i	−0.0909140	−	0.262679i
$887$	−15.1063	+	15.8430i	−0.507219	+	0.531956i	−0.926697	−	0.375809i	$-0.877365\pi$
$887$	−15.1063	+	15.8430i	−0.507219	+	0.531956i	0.419478	+	0.907766i	$0.362213\pi$
$888$	0.828995	+	1.81525i	0.0278193	+	0.0609157i
$889$	0.859123	+	1.00213i	0.0288141	+	0.0336104i
$890$	2.65248	+	0.778838i	0.0889113	+	0.0261067i
$891$	−2.14361	−	2.72582i	−0.0718136	−	0.0913184i
$892$	8.35503	−	5.94959i	0.279747	−	0.199207i
$893$	−2.06221	+	2.62231i	−0.0690092	+	0.0877524i
$894$	0.0262835	−	0.551759i	0.000879052	−	0.0184536i
$895$	5.58880	+	6.44982i	0.186813	+	0.215594i
$896$	19.9746	−	15.5380i	0.667303	−	0.519089i
$897$	−2.38082	+	26.0114i	−0.0794932	+	0.868496i
$898$	−4.44087	−	7.69182i	−0.148194	−	0.256679i
$899$	−10.2933	−	53.4066i	−0.343300	−	1.78121i
$900$	7.86739	−	4.05592i	0.262246	−	0.135197i
$901$	−21.8936	−	54.6876i	−0.729382	−	1.82191i
$902$	−0.140248	+	0.307100i	−0.00466974	+	0.0102253i
$903$	−2.07422	+	8.35707i	−0.0690258	+	0.278106i
$904$	−0.340522	+	1.15971i	−0.0113256	+	0.0385714i
$905$	−9.41889	−	4.85578i	−0.313095	−	0.161411i
$906$	0.0541320	−	0.566896i	0.00179842	−	0.0188339i
$907$	11.2004	+	2.71718i	0.371902	+	0.0902223i	0.417354	−	0.908744i	$-0.362958\pi$
$907$	11.2004	+	2.71718i	0.371902	+	0.0902223i	−0.0454520	+	0.998967i	$0.514473\pi$
$908$	11.0649	+	2.13258i	0.367201	+	0.0707722i
$909$	1.68289	+	1.45823i	0.0558180	+	0.0483666i
$910$	−0.270302	+	2.68094i	−0.00896043	+	0.0888722i
$911$	−6.34375	+	2.89710i	−0.210178	+	0.0959851i	−0.517722	−	0.855549i	$-0.673220\pi$
$911$	−6.34375	+	2.89710i	−0.210178	+	0.0959851i	0.307544	+	0.951534i	$0.400493\pi$
$912$	1.14035	−	2.21197i	0.0377607	−	0.0732456i
$913$	−10.1538	−	10.6490i	−0.336042	−	0.352431i
$914$	−3.29349	+	8.22673i	−0.108939	+	0.272116i
$915$	−0.352898	−	3.69572i	−0.0116665	−	0.122177i
$916$	0.175581	−	1.22119i	0.00580136	−	0.0403494i
$917$	1.42133	+	15.7647i	0.0469363	+	0.520598i
$918$	−1.39213	+	1.20629i	−0.0459471	+	0.0398134i
$919$	−0.688034	+	0.397236i	−0.0226961	+	0.0131036i	−0.511305	−	0.859399i	$-0.670838\pi$
$919$	−0.688034	+	0.397236i	−0.0226961	+	0.0131036i	0.488609	+	0.872503i	$0.337504\pi$
$920$	−0.644559	+	3.41638i	−0.0212505	+	0.112635i
$921$	−5.44058	+	9.42335i	−0.179273	+	0.310510i
$922$	10.8968	+	3.77142i	0.358867	+	0.124205i
$923$	−20.9834	+	32.6507i	−0.690676	+	1.07471i
$924$	17.2191	+	0.0909933i	0.566468	+	0.00299346i
$925$	−6.29188	−	2.87341i	−0.206876	−	0.0944770i
$926$	−3.93722	+	3.09627i	−0.129385	+	0.101750i
$927$	5.91280	−	5.63784i	0.194202	−	0.185171i
$928$	1.70975	+	35.8921i	0.0561253	+	1.17821i
$929$	0.478834	+	0.340976i	0.0157100	+	0.0111871i	0.587885	−	0.808945i	$-0.299961\pi$
$929$	0.478834	+	0.340976i	0.0157100	+	0.0111871i	−0.572175	+	0.820132i	$0.693900\pi$
$930$	−1.05128	+	0.308684i	−0.0344729	+	0.0101221i
$931$	5.29834	−	0.449478i	0.173646	−	0.0147310i
$932$	−8.22602	+	9.49333i	−0.269452	+	0.310964i
$933$	−17.0958	−	16.3008i	−0.559692	−	0.533665i
$934$	−6.63765	−	0.633819i	−0.217191	−	0.0207392i
$935$	9.68604	−	0.461403i	0.316768	−	0.0150895i
$936$	7.20170	−	1.74711i	0.235395	−	0.0571062i
$937$	−1.80337	−	12.5427i	−0.0589134	−	0.409752i	−0.997843	−	0.0656430i	$-0.979090\pi$
$937$	−1.80337	−	12.5427i	−0.0589134	−	0.409752i	0.938930	−	0.344109i	$-0.111819\pi$
$938$	0.933907	−	3.11952i	0.0304932	−	0.101856i
$939$	−13.3665	−	1.92181i	−0.436198	−	0.0627158i
$940$	4.38654	+	0.208956i	0.143073	+	0.00681541i
$941$	−20.5121	+	3.95339i	−0.668676	+	0.128877i	−0.512281	−	0.858818i	$-0.671199\pi$
$941$	−20.5121	+	3.95339i	−0.668676	+	0.128877i	−0.156395	+	0.987695i	$0.549987\pi$
$942$	4.76564	+	2.75144i	0.155273	+	0.0896469i
$943$	1.27499	−	0.379811i	0.0415193	−	0.0123683i
$944$			6.00843i			0.195558i
$945$	−0.274085	+	1.38273i	−0.00891600	+	0.0449802i
$946$	3.33214	+	2.14144i	0.108337	+	0.0696241i
$947$	−32.7599	+	13.1151i	−1.06455	+	0.426183i	−0.836784	−	0.547533i	$-0.815567\pi$
$947$	−32.7599	+	13.1151i	−1.06455	+	0.426183i	−0.227768	+	0.973715i	$0.573143\pi$
$948$	14.0804	+	19.7732i	0.457310	+	0.642203i
$949$	−81.3658	−	32.5740i	−2.64125	−	1.05740i
$950$	−0.296427	−	1.22189i	−0.00961737	−	0.0396434i
$951$	13.1663	+	20.4871i	0.426945	+	0.664340i
$952$	−0.799275	−	18.8772i	−0.0259047	−	0.611814i
$953$	−2.03946	−	6.94576i	−0.0660646	−	0.224995i	0.919843	−	0.392287i	$-0.128316\pi$
$953$	−2.03946	−	6.94576i	−0.0660646	−	0.224995i	−0.985907	+	0.167292i	$0.946498\pi$
$954$	0.745480	−	3.86792i	0.0241358	−	0.125229i
$955$	13.2450	−	4.58414i	0.428598	−	0.148339i
$956$	10.9964	−	45.3276i	0.355648	−	1.46600i
$957$	−18.6713	+	26.2202i	−0.603559	+	0.847580i
$958$	11.7956	−	7.58055i	0.381097	−	0.244916i
$959$	19.7460	−	24.8378i	0.637632	−	0.802056i
$960$	−2.73894	+	0.393800i	−0.0883989	+	0.0127098i
$961$	3.31780	−	0.316811i	0.107026	−	0.0102197i
$962$	−2.20373	−	1.73303i	−0.0710510	−	0.0558751i
$963$	−4.43166	−	8.59622i	−0.142808	−	0.277009i
$964$	−17.6781	+	51.0774i	−0.569372	+	1.64509i
$965$	3.02831			0.0974847
$966$	2.91169	+	3.36951i	0.0936819	+	0.108412i
$967$	−4.98613			−0.160343			−0.0801716	−	0.996781i	$-0.525547\pi$
$967$	−4.98613			−0.160343			−0.0801716	+	0.996781i	$0.525547\pi$
$968$	0.456214	−	1.31815i	0.0146633	−	0.0423668i
$969$	−1.82690	−	3.54370i	−0.0586886	−	0.113840i
$970$	0.577229	+	0.453938i	0.0185337	+	0.0145751i
$971$	−34.1881	+	3.26457i	−1.09715	+	0.104765i	−0.627895	−	0.778298i	$-0.716083\pi$
$971$	−34.1881	+	3.26457i	−1.09715	+	0.104765i	−0.469254	+	0.883063i	$0.655477\pi$
$972$	1.85772	−	0.267100i	0.0595864	−	0.00856723i
$973$	−60.7771	−	9.06649i	−1.94843	−	0.290658i
$974$	1.12935	−	0.725787i	0.0361866	−	0.0232557i
$975$	−14.8994	+	20.9233i	−0.477163	+	0.670081i
$976$	5.38195	−	22.1847i	0.172272	−	0.710115i
$977$	31.0233	−	10.7373i	0.992524	−	0.343516i	0.217923	−	0.975966i	$-0.430072\pi$
$977$	31.0233	−	10.7373i	0.992524	−	0.343516i	0.774601	+	0.632450i	$0.217951\pi$
$978$	1.09807	−	5.69735i	0.0351126	−	0.182181i
$979$	14.4434	+	49.1898i	0.461614	+	1.57211i
$980$	−4.52765	−	5.33815i	−0.144631	−	0.170521i
$981$	−10.9231	−	16.9967i	−0.348748	−	0.542662i
$982$	3.47670	+	14.3311i	0.110946	+	0.457325i
$983$	34.7170	+	13.8986i	1.10730	+	0.443296i	0.851987	−	0.523563i	$-0.175397\pi$
$983$	34.7170	+	13.8986i	1.10730	+	0.443296i	0.255313	+	0.966859i	$0.417822\pi$
$984$	−0.218935	−	0.307451i	−0.00697940	−	0.00980119i
$985$	−7.41889	+	2.97007i	−0.236385	+	0.0946345i
$986$	14.3843	+	9.24421i	0.458089	+	0.294396i
$987$	7.65537	−	8.74101i	0.243673	−	0.278229i
$988$			7.76487i			0.247033i
$989$	−2.28188	−	15.4404i	−0.0725594	−	0.490976i
$990$	0.561562	+	0.324218i	0.0178476	+	0.0103043i
$991$	−6.50169	+	1.25310i	−0.206533	+	0.0398060i	−0.291468	−	0.956580i	$-0.594144\pi$
$991$	−6.50169	+	1.25310i	−0.206533	+	0.0398060i	0.0849352	+	0.996386i	$0.472932\pi$
$992$	−22.6566	−	1.07926i	−0.719346	−	0.0342667i
$993$	25.7242	+	3.69858i	0.816333	+	0.117371i
$994$	1.52604	+	6.43874i	0.0484030	+	0.204224i
$995$	0.473701	+	3.29466i	0.0150173	+	0.104448i
$996$	7.73909	−	1.87748i	0.245223	−	0.0594903i
$997$	−30.8905	+	1.47150i	−0.978313	+	0.0466028i	−0.530643	−	0.847596i	$-0.678049\pi$
$997$	−30.8905	+	1.47150i	−0.978313	+	0.0466028i	−0.447671	+	0.894199i	$0.647746\pi$
$998$	−1.81496	−	0.173307i	−0.0574514	−	0.00548594i
$999$	−1.06147	−	1.01211i	−0.0335834	−	0.0320217i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	483.2.bf.a.10.20	✓	640
7.5	odd	6	inner	483.2.bf.a.355.13	yes	640
23.7	odd	22	inner	483.2.bf.a.283.13	yes	640
161.145	even	66	inner	483.2.bf.a.145.20	yes	640

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
483.2.bf.a.10.20	✓	640	1.1	even	1	trivial
483.2.bf.a.145.20	yes	640	161.145	even	66	inner
483.2.bf.a.283.13	yes	640	23.7	odd	22	inner
483.2.bf.a.355.13	yes	640	7.5	odd	6	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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 483 = 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	483.bf (of order \(66\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(0.114790 - 0.331663i) q^{2} +(0.458227 + 0.888835i) q^{3} +(1.47528 + 1.16017i) q^{4} +(0.530378 - 0.0506450i) q^{5} +(0.347394 - 0.0499477i) q^{6} +(0.390363 - 2.61680i) q^{7} +(1.14464 - 0.735614i) q^{8} +(-0.580057 + 0.814576i) q^{9} +(0.0440849 - 0.181721i) q^{10} +(3.27701 - 1.13418i) q^{11} +(-0.355191 + 1.84291i) q^{12} +(-1.53444 - 5.22581i) q^{13} +(-0.823085 - 0.429850i) q^{14} +(0.288049 + 0.448212i) q^{15} +(0.772372 + 3.18376i) q^{16} +(4.87255 + 1.95068i) q^{17} +(0.203580 + 0.285888i) q^{18} +(-0.705211 + 0.282324i) q^{19} +(0.841215 + 0.540616i) q^{20} +(2.50478 - 0.852116i) q^{21} -1.21706i q^{22} +(-3.61209 + 3.15480i) q^{23} +(1.17834 + 0.680317i) q^{24} +(-4.63091 + 0.892534i) q^{25} +(-1.90935 - 0.0909534i) q^{26} +(-0.989821 - 0.142315i) q^{27} +(3.61184 - 3.40762i) q^{28} +(1.32102 + 9.18791i) q^{29} +(0.181721 - 0.0440849i) q^{30} +(-5.85279 + 0.278803i) q^{31} +(3.85354 + 0.367969i) q^{32} +(2.50971 + 2.39301i) q^{33} +(1.20629 - 1.39213i) q^{34} +(0.0745126 - 1.40766i) q^{35} +(-1.80080 + 0.528762i) q^{36} +(1.19470 + 0.850745i) q^{37} +(0.0126855 + 0.266300i) q^{38} +(3.94177 - 3.75847i) q^{39} +(0.569836 - 0.448124i) q^{40} +(-0.252330 - 0.115235i) q^{41} +(0.00490688 - 0.928556i) q^{42} +(-1.75952 + 2.73787i) q^{43} +(6.15036 + 2.12866i) q^{44} +(-0.266395 + 0.461411i) q^{45} +(0.631700 + 1.56014i) q^{46} +(3.80333 - 2.19586i) q^{47} +(-2.47592 + 2.14540i) q^{48} +(-6.69523 - 2.04300i) q^{49} +(-0.235560 + 1.63836i) q^{50} +(0.498903 + 5.22475i) q^{51} +(3.79913 - 9.48976i) q^{52} +(-7.74517 - 8.12290i) q^{53} +(-0.160822 + 0.311951i) q^{54} +(1.68061 - 0.767511i) q^{55} +(-1.47813 - 3.28244i) q^{56} +(-0.574086 - 0.497448i) q^{57} +(3.19893 + 0.616543i) q^{58} +(1.78232 + 0.432385i) q^{59} +(-0.0950517 + 0.995426i) q^{60} +(-6.19347 - 3.19296i) q^{61} +(-0.579372 + 1.97316i) q^{62} +(1.90515 + 1.83587i) q^{63} +(-2.15750 + 4.72427i) q^{64} +(-1.07849 - 2.69395i) q^{65} +(1.08176 - 0.557687i) q^{66} +(0.663668 + 3.44344i) q^{67} +(4.92527 + 8.53081i) q^{68} +(-4.45926 - 1.76494i) q^{69} +(-0.458316 - 0.186298i) q^{70} +(-4.66663 - 5.38558i) q^{71} +(-0.0647415 + 1.35909i) q^{72} +(9.94741 - 12.6492i) q^{73} +(0.419301 - 0.298583i) q^{74} +(-2.91532 - 3.70713i) q^{75} +(-1.36793 - 0.401661i) q^{76} +(-1.68870 - 9.01800i) q^{77} +(-0.794071 - 1.73877i) q^{78} +(8.92525 - 9.36053i) q^{79} +(0.570891 + 1.64948i) q^{80} +(-0.327068 - 0.945001i) q^{81} +(-0.0671843 + 0.0704608i) q^{82} +(-1.76265 - 3.85967i) q^{83} +(4.68385 + 1.64886i) q^{84} +(2.68309 + 0.787826i) q^{85} +(0.706076 + 0.897848i) q^{86} +(-7.56121 + 5.38431i) q^{87} +(2.91667 - 3.70884i) q^{88} +(-0.703445 + 14.7671i) q^{89} +(0.122453 + 0.141319i) q^{90} +(-14.2739 + 1.97534i) q^{91} +(-8.98898 + 0.463561i) q^{92} +(-2.92971 - 5.07441i) q^{93} +(-0.291701 - 1.51349i) q^{94} +(-0.359730 + 0.185454i) q^{95} +(1.43873 + 3.59378i) q^{96} +(-1.63139 + 3.57223i) q^{97} +(-1.44613 + 1.98605i) q^{98} +(-0.976973 + 3.32726i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 640 q - 4 q^{2} + 36 q^{4} + 24 q^{8} - 32 q^{9} + 4 q^{18} - 28 q^{23} + 56 q^{25} - 84 q^{26} - 176 q^{28} - 24 q^{29} + 12 q^{31} + 36 q^{32} - 76 q^{35} + 28 q^{36} + 44 q^{37} - 110 q^{42} - 88 q^{43}+ \cdots - 44 q^{99}+O(q^{100}) \) 640 * q - 4 * q^2 + 36 * q^4 + 24 * q^8 - 32 * q^9 + 4 * q^18 - 28 * q^23 + 56 * q^25 - 84 * q^26 - 176 * q^28 - 24 * q^29 + 12 * q^31 + 36 * q^32 - 76 * q^35 + 28 * q^36 + 44 * q^37 - 110 * q^42 - 88 * q^43 + 154 * q^44 + 8 * q^46 + 12 * q^47 - 8 * q^49 - 212 * q^50 + 44 * q^51 + 108 * q^52 - 110 * q^56 - 88 * q^57 + 2 * q^58 - 36 * q^59 - 168 * q^64 - 48 * q^70 + 16 * q^71 + 12 * q^72 - 48 * q^73 - 22 * q^74 + 48 * q^75 + 32 * q^78 - 44 * q^79 - 594 * q^80 + 32 * q^81 + 24 * q^82 + 352 * q^85 - 36 * q^87 - 330 * q^88 + 244 * q^92 - 24 * q^93 - 486 * q^94 - 154 * q^95 - 60 * q^96 - 24 * q^98 - 44 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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