LMFDB - Embedded newform 88.2.k.b.19.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [88,2,Mod(19,88)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(88, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([5, 5, 3]))

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

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

chi := DirichletCharacter("88.19");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 88 = 2^{3} \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	88.k (of order $10$, degree $4$, 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:	$0.702683537787$
Analytic rank:	$0$
Dimension:	$32$
Relative dimension:	$8$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			19.3
Character	$\chi$	$=$	88.19
Dual form			88.2.k.b.51.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.16173 - 0.806458i) q^{2} +(0.385688 + 1.18702i) q^{3} +(0.699251 + 1.87378i) q^{4} +(-2.03454 + 2.80031i) q^{5} +(0.509219 - 1.69005i) q^{6} +(-0.442181 + 1.36089i) q^{7} +(0.698780 - 2.74075i) q^{8} +(1.16678 - 0.847714i) q^{9} +(4.62193 - 1.61244i) q^{10} +(-1.18696 + 3.09695i) q^{11} +(-1.95453 + 1.55272i) q^{12} +(5.33740 - 3.87785i) q^{13} +(1.61120 - 1.22440i) q^{14} +(-4.10874 - 1.33501i) q^{15} +(-3.02209 + 2.62049i) q^{16} +(0.442479 - 0.609020i) q^{17} +(-2.03913 + 0.0438606i) q^{18} +(-2.61700 + 0.850314i) q^{19} +(-6.66982 - 1.85417i) q^{20} -1.78596 q^{21} +(3.87650 - 2.64060i) q^{22} -4.40738i q^{23} +(3.52285 - 0.227605i) q^{24} +(-2.15728 - 6.63943i) q^{25} +(-9.32795 + 0.200639i) q^{26} +(4.48550 + 3.25891i) q^{27} +(-2.85921 + 0.123057i) q^{28} +(-0.0386973 + 0.119098i) q^{29} +(3.69663 + 4.86445i) q^{30} +(2.25749 + 3.10716i) q^{31} +(5.62418 - 0.607114i) q^{32} +(-4.13396 - 0.214498i) q^{33} +(-1.00519 + 0.350679i) q^{34} +(-2.91129 - 4.00704i) q^{35} +(2.40430 + 1.59352i) q^{36} +(1.91508 + 0.622247i) q^{37} +(3.72600 + 1.12266i) q^{38} +(6.66167 + 4.83999i) q^{39} +(6.25325 + 7.53298i) q^{40} +(2.52037 - 0.818917i) q^{41} +(2.07481 + 1.44030i) q^{42} -4.68327i q^{43} +(-6.63299 - 0.0585579i) q^{44} +4.99205i q^{45} +(-3.55437 + 5.12021i) q^{46} +(4.39059 - 1.42659i) q^{47} +(-4.27617 - 2.57661i) q^{48} +(4.00661 + 2.91097i) q^{49} +(-2.84823 + 9.45301i) q^{50} +(0.893581 + 0.290342i) q^{51} +(10.9984 + 7.28951i) q^{52} +(-3.06496 - 4.21856i) q^{53} +(-2.58279 - 7.40335i) q^{54} +(-6.25750 - 9.62476i) q^{55} +(3.42088 + 2.16287i) q^{56} +(-2.01869 - 2.77849i) q^{57} +(0.141003 - 0.107152i) q^{58} +(1.90440 - 5.86114i) q^{59} +(-0.371527 - 8.63237i) q^{60} +(-2.37790 - 1.72765i) q^{61} +(-0.116802 - 5.43027i) q^{62} +(0.637721 + 1.96270i) q^{63} +(-7.02341 - 3.83036i) q^{64} +22.8360i q^{65} +(4.62958 + 3.58305i) q^{66} -10.7156 q^{67} +(1.45057 + 0.403250i) q^{68} +(5.23168 - 1.69987i) q^{69} +(0.150630 + 7.00295i) q^{70} +(-6.91440 + 9.51686i) q^{71} +(-1.50805 - 3.79021i) q^{72} +(-5.95032 - 1.93338i) q^{73} +(-1.72300 - 2.26731i) q^{74} +(7.04913 - 5.12150i) q^{75} +(-3.42324 - 4.30909i) q^{76} +(-3.68977 - 2.98475i) q^{77} +(-3.83584 - 10.9951i) q^{78} +(-1.32581 + 0.963258i) q^{79} +(-1.18958 - 13.7943i) q^{80} +(-0.801393 + 2.46643i) q^{81} +(-3.58842 - 1.08121i) q^{82} +(7.17988 - 9.88226i) q^{83} +(-1.24883 - 3.34649i) q^{84} +(0.805202 + 2.47816i) q^{85} +(-3.77686 + 5.44071i) q^{86} -0.156297 q^{87} +(7.65855 + 5.41726i) q^{88} +10.6955 q^{89} +(4.02588 - 5.79944i) q^{90} +(2.91724 + 8.97834i) q^{91} +(8.25846 - 3.08187i) q^{92} +(-2.81760 + 3.87809i) q^{93} +(-6.25118 - 1.88351i) q^{94} +(2.94326 - 9.05841i) q^{95} +(2.88984 + 6.44189i) q^{96} +(-9.17200 + 6.66385i) q^{97} +(-2.30704 - 6.61294i) q^{98} +(1.24041 + 4.61966i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 32 q - 5 q^{2} - 2 q^{3} - 5 q^{4} + 15 q^{6} - 5 q^{8} - 10 q^{9} - 18 q^{11} - 18 q^{12} + 8 q^{14} - q^{16} - 10 q^{17} - 20 q^{18} - 30 q^{20} + 17 q^{22} + 5 q^{24} + 6 q^{25} - 4 q^{26} - 32 q^{27}+ \cdots + 122 q^{99}+O(q^{100}) $ 32 * q - 5 * q^2 - 2 * q^3 - 5 * q^4 + 15 * q^6 - 5 * q^8 - 10 * q^9 - 18 * q^11 - 18 * q^12 + 8 * q^14 - q^16 - 10 * q^17 - 20 * q^18 - 30 * q^20 + 17 * q^22 + 5 * q^24 + 6 * q^25 - 4 * q^26 - 32 * q^27 - 30 * q^28 + 30 * q^30 + 32 * q^33 - 14 * q^34 - 10 * q^35 + 16 * q^36 + 28 * q^38 + 30 * q^40 - 10 * q^41 + 64 * q^42 - 38 * q^44 + 40 * q^46 + 26 * q^48 - 18 * q^49 + 5 * q^50 + 60 * q^51 + 40 * q^52 + 76 * q^56 - 80 * q^57 - 56 * q^58 + 28 * q^59 + 34 * q^60 - 80 * q^62 + 55 * q^64 - 30 * q^66 - 28 * q^67 + 60 * q^68 - 44 * q^70 + 45 * q^72 - 10 * q^73 - 100 * q^74 + 4 * q^75 - 80 * q^78 - 76 * q^80 + 28 * q^81 + 13 * q^82 - 50 * q^84 - 39 * q^86 - 69 * q^88 + 20 * q^89 - 30 * q^90 + 78 * q^91 + 6 * q^92 - 30 * q^94 - 110 * q^96 - 52 * q^97 + 122 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/88\mathbb{Z}\right)^\times$.

$n$	$23$	$45$	$57$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{3}{10}\right)$

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 $

$2$	−1.16173	−	0.806458i	−0.821470	−	0.570252i
$2$	−1.16173	−	0.806458i	−0.821470	−	0.570252i
$3$	0.385688	+	1.18702i	0.222677	+	0.685329i	0.998519	+	0.0544021i	$0.0173253\pi$
$3$	0.385688	+	1.18702i	0.222677	+	0.685329i	−0.775842	+	0.630927i	$0.782675\pi$
$4$	0.699251	+	1.87378i	0.349626	+	0.936889i
$5$	−2.03454	+	2.80031i	−0.909876	+	1.25234i	0.0573329	+	0.998355i	$0.481740\pi$
$5$	−2.03454	+	2.80031i	−0.909876	+	1.25234i	−0.967209	+	0.253982i	$0.918260\pi$
$6$	0.509219	−	1.69005i	0.207888	−	0.689959i
$7$	−0.442181	+	1.36089i	−0.167129	+	0.514370i	−0.999187	−	0.0403190i	$-0.987163\pi$
$7$	−0.442181	+	1.36089i	−0.167129	+	0.514370i	0.832058	+	0.554689i	$0.187163\pi$
$8$	0.698780	−	2.74075i	0.247056	−	0.969001i
$9$	1.16678	−	0.847714i	0.388926	−	0.282571i
$10$	4.62193	−	1.61244i	1.46158	−	0.509899i
$11$	−1.18696	+	3.09695i	−0.357883	+	0.933766i
$11$	−1.18696	+	3.09695i	−0.357883	+	0.933766i
$12$	−1.95453	+	1.55272i	−0.564224	+	0.448232i
$13$	5.33740	−	3.87785i	1.48033	−	1.07552i	0.502876	−	0.864358i	$-0.332275\pi$
$13$	5.33740	−	3.87785i	1.48033	−	1.07552i	0.977451	−	0.211163i	$-0.0677249\pi$
$14$	1.61120	−	1.22440i	0.430612	−	0.327234i
$15$	−4.10874	−	1.33501i	−1.06087	−	0.344698i
$16$	−3.02209	+	2.62049i	−0.755524	+	0.655121i
$17$	0.442479	−	0.609020i	0.107317	−	0.147709i	−0.751980	−	0.659185i	$-0.770901\pi$
$17$	0.442479	−	0.609020i	0.107317	−	0.147709i	0.859297	+	0.511476i	$0.170901\pi$
$18$	−2.03913	+	0.0438606i	−0.480628	+	0.0103380i
$19$	−2.61700	+	0.850314i	−0.600381	+	0.195075i	−0.593410	−	0.804900i	$-0.702219\pi$
$19$	−2.61700	+	0.850314i	−0.600381	+	0.195075i	−0.00697046	+	0.999976i	$0.502219\pi$
$20$	−6.66982	−	1.85417i	−1.49142	−	0.414604i
$21$	−1.78596			−0.389728
$22$	3.87650	−	2.64060i	0.826472	−	0.562978i
$23$		−	4.40738i		−	0.919003i	−0.888177	−	0.459502i	$-0.848028\pi$
$23$		−	4.40738i		−	0.919003i	0.888177	−	0.459502i	$-0.151972\pi$
$24$	3.52285	−	0.227605i	0.719098	−	0.0464596i
$25$	−2.15728	−	6.63943i	−0.431456	−	1.32789i
$26$	−9.32795	+	0.200639i	−1.82936	+	0.0393486i
$27$	4.48550	+	3.25891i	0.863235	+	0.627177i
$28$	−2.85921	+	0.123057i	−0.540340	+	0.0232556i
$29$	−0.0386973	+	0.119098i	−0.00718590	+	0.0221159i	−0.954585	−	0.297938i	$-0.903701\pi$
$29$	−0.0386973	+	0.119098i	−0.00718590	+	0.0221159i	0.947399	+	0.320054i	$0.103701\pi$
$30$	3.69663	+	4.86445i	0.674909	+	0.888123i
$31$	2.25749	+	3.10716i	0.405457	+	0.558063i	0.962103	−	0.272686i	$-0.0879121\pi$
$31$	2.25749	+	3.10716i	0.405457	+	0.558063i	−0.556646	+	0.830750i	$0.687912\pi$
$32$	5.62418	−	0.607114i	0.994224	−	0.107324i
$33$	−4.13396	−	0.214498i	−0.719630	−	0.0373393i
$34$	−1.00519	+	0.350679i	−0.172389	+	0.0601409i
$35$	−2.91129	−	4.00704i	−0.492098	−	0.677314i
$36$	2.40430	+	1.59352i	0.400717	+	0.265586i
$37$	1.91508	+	0.622247i	0.314837	+	0.102297i	0.462173	−	0.886790i	$-0.347070\pi$
$37$	1.91508	+	0.622247i	0.314837	+	0.102297i	−0.147336	+	0.989086i	$0.547070\pi$
$38$	3.72600	+	1.12266i	0.604437	+	0.182120i
$39$	6.66167	+	4.83999i	1.06672	+	0.775018i
$40$	6.25325	+	7.53298i	0.988726	+	1.19107i
$41$	2.52037	−	0.818917i	0.393615	−	0.127893i	−0.105521	−	0.994417i	$-0.533651\pi$
$41$	2.52037	−	0.818917i	0.393615	−	0.127893i	0.499136	+	0.866524i	$0.333651\pi$
$42$	2.07481	+	1.44030i	0.320150	+	0.222243i
$43$		−	4.68327i		−	0.714192i	−0.934068	−	0.357096i	$-0.883767\pi$
$43$		−	4.68327i		−	0.714192i	0.934068	−	0.357096i	$-0.116233\pi$
$44$	−6.63299	−	0.0585579i	−0.999961	−	0.00882793i
$45$			4.99205i			0.744171i
$46$	−3.55437	+	5.12021i	−0.524063	+	0.754934i
$47$	4.39059	−	1.42659i	0.640433	−	0.208089i	0.0292421	−	0.999572i	$-0.490691\pi$
$47$	4.39059	−	1.42659i	0.640433	−	0.208089i	0.611191	+	0.791483i	$0.290691\pi$
$48$	−4.27617	−	2.57661i	−0.617211	−	0.371902i
$49$	4.00661	+	2.91097i	0.572373	+	0.415853i
$50$	−2.84823	+	9.45301i	−0.402801	+	1.33686i
$51$	0.893581	+	0.290342i	0.125126	+	0.0406560i
$52$	10.9984	+	7.28951i	1.52520	+	1.01087i
$53$	−3.06496	−	4.21856i	−0.421005	−	0.579463i	0.544854	−	0.838531i	$-0.316585\pi$
$53$	−3.06496	−	4.21856i	−0.421005	−	0.579463i	−0.965859	+	0.259067i	$0.916585\pi$
$54$	−2.58279	−	7.40335i	−0.351473	−	1.00747i
$55$	−6.25750	−	9.62476i	−0.843761	−	1.29780i
$56$	3.42088	+	2.16287i	0.457135	+	0.289026i
$57$	−2.01869	−	2.77849i	−0.267382	−	0.368020i
$58$	0.141003	−	0.107152i	0.0185146	−	0.0140698i
$59$	1.90440	−	5.86114i	0.247932	−	0.763056i	−0.747209	−	0.664590i	$-0.768606\pi$
$59$	1.90440	−	5.86114i	0.247932	−	0.763056i	0.995140	−	0.0984660i	$-0.0313936\pi$
$60$	−0.371527	−	8.63237i	−0.0479640	−	1.11443i
$61$	−2.37790	−	1.72765i	−0.304460	−	0.221203i	0.425056	−	0.905167i	$-0.360254\pi$
$61$	−2.37790	−	1.72765i	−0.304460	−	0.221203i	−0.729516	+	0.683964i	$0.760254\pi$
$62$	−0.116802	−	5.43027i	−0.0148339	−	0.689645i
$63$	0.637721	+	1.96270i	0.0803453	+	0.247277i
$64$	−7.02341	−	3.83036i	−0.877927	−	0.478795i
$65$			22.8360i			2.83246i
$66$	4.62958	+	3.58305i	0.569861	+	0.441043i
$67$	−10.7156			−1.30912			−0.654559	−	0.756011i	$-0.727146\pi$
$67$	−10.7156			−1.30912			−0.654559	+	0.756011i	$0.727146\pi$
$68$	1.45057	+	0.403250i	0.175908	+	0.0489012i
$69$	5.23168	−	1.69987i	0.629820	−	0.204641i
$70$	0.150630	+	7.00295i	0.0180037	+	0.837013i
$71$	−6.91440	+	9.51686i	−0.820588	+	1.12944i	0.169014	+	0.985614i	$0.445942\pi$
$71$	−6.91440	+	9.51686i	−0.820588	+	1.12944i	−0.989602	+	0.143829i	$0.954058\pi$
$72$	−1.50805	−	3.79021i	−0.177725	−	0.446681i
$73$	−5.95032	−	1.93338i	−0.696433	−	0.226285i	−0.0606571	−	0.998159i	$-0.519320\pi$
$73$	−5.95032	−	1.93338i	−0.696433	−	0.226285i	−0.635776	+	0.771874i	$0.719320\pi$
$74$	−1.72300	−	2.26731i	−0.200294	−	0.263570i
$75$	7.04913	−	5.12150i	0.813964	−	0.591379i
$76$	−3.42324	−	4.30909i	−0.392673	−	0.494287i
$77$	−3.68977	−	2.98475i	−0.420489	−	0.340143i
$78$	−3.83584	−	10.9951i	−0.434324	−	1.24495i
$79$	−1.32581	+	0.963258i	−0.149165	+	0.108375i	−0.659865	−	0.751384i	$-0.729386\pi$
$79$	−1.32581	+	0.963258i	−0.149165	+	0.108375i	0.510700	+	0.859759i	$0.329386\pi$
$80$	−1.18958	−	13.7943i	−0.133000	−	1.54225i
$81$	−0.801393	+	2.46643i	−0.0890436	+	0.274048i
$82$	−3.58842	−	1.08121i	−0.396274	−	0.119399i
$83$	7.17988	−	9.88226i	0.788094	−	1.08472i	−0.206249	−	0.978500i	$-0.566126\pi$
$83$	7.17988	−	9.88226i	0.788094	−	1.08472i	0.994343	−	0.106219i	$-0.0338744\pi$
$84$	−1.24883	−	3.34649i	−0.136259	−	0.365132i
$85$	0.805202	+	2.47816i	0.0873365	+	0.268794i
$86$	−3.77686	+	5.44071i	−0.407269	+	0.586687i
$87$	−0.156297			−0.0167568
$88$	7.65855	+	5.41726i	0.816404	+	0.577481i
$89$	10.6955			1.13372			0.566858	−	0.823815i	$-0.308159\pi$
$89$	10.6955			1.13372			0.566858	+	0.823815i	$0.308159\pi$
$90$	4.02588	−	5.79944i	0.424365	−	0.611314i
$91$	2.91724	+	8.97834i	0.305810	+	0.941186i
$92$	8.25846	−	3.08187i	0.861004	−	0.321307i
$93$	−2.81760	+	3.87809i	−0.292171	+	0.402139i
$94$	−6.25118	−	1.88351i	−0.644760	−	0.194269i
$95$	2.94326	−	9.05841i	0.301972	−	0.929373i
$96$	2.88984	+	6.44189i	0.294943	+	0.657472i
$97$	−9.17200	+	6.66385i	−0.931276	+	0.676611i	−0.946305	−	0.323276i	$-0.895216\pi$
$97$	−9.17200	+	6.66385i	−0.931276	+	0.676611i	0.0150293	+	0.999887i	$0.495216\pi$
$98$	−2.30704	−	6.61294i	−0.233046	−	0.668008i
$99$	1.24041	+	4.61966i	0.124666	+	0.464293i
$100$	10.9323	−	8.68490i	1.09323	−	0.868490i
$101$	−7.14622	+	5.19204i	−0.711076	+	0.516627i	−0.883521	−	0.468392i	$-0.844833\pi$
$101$	−7.14622	+	5.19204i	−0.711076	+	0.516627i	0.172445	+	0.985019i	$0.444833\pi$
$102$	−0.803955	−	1.05794i	−0.0796034	−	0.104751i
$103$	16.7264	+	5.43473i	1.64810	+	0.535499i	0.978327	−	0.207068i	$-0.0663922\pi$
$103$	16.7264	+	5.43473i	1.64810	+	0.535499i	0.669771	+	0.742567i	$0.266392\pi$
$104$	−6.89854	−	17.3382i	−0.676457	−	1.70015i
$105$	3.63361	−	5.00124i	0.354604	−	0.488071i
$106$	0.158581	+	7.37260i	0.0154027	+	0.716091i
$107$	−4.41132	+	1.43333i	−0.426459	+	0.138565i	−0.514379	−	0.857563i	$-0.671978\pi$
$107$	−4.41132	+	1.43333i	−0.426459	+	0.138565i	0.0879209	+	0.996127i	$0.471978\pi$
$108$	−2.96998	+	10.6836i	−0.285786	+	1.02803i
$109$	−11.8543			−1.13544			−0.567718	−	0.823223i	$-0.692173\pi$
$109$	−11.8543			−1.13544			−0.567718	+	0.823223i	$0.692173\pi$
$110$	−0.492409	+	16.2278i	−0.0469493	+	1.54726i
$111$			2.51324i			0.238546i
$112$	−2.22989	−	5.27148i	−0.210705	−	0.498108i
$113$	0.696722	+	2.14429i	0.0655421	+	0.201718i	0.978464	−	0.206415i	$-0.0661798\pi$
$113$	0.696722	+	2.14429i	0.0655421	+	0.201718i	−0.912922	+	0.408133i	$0.866180\pi$
$114$	0.104447	+	4.85585i	0.00978233	+	0.454792i
$115$	12.3420	+	8.96702i	1.15090	+	0.836179i
$116$	−0.250222	+	0.0107693i	−0.0232326	+	0.000999902i
$117$	2.94025	−	9.04917i	0.271826	−	0.836596i
$118$	−6.93917	+	5.27327i	−0.638802	+	0.485444i
$119$	0.633156	+	0.871465i	0.0580413	+	0.0798870i
$120$	−6.53003	+	10.3281i	−0.596107	+	0.942826i
$121$	−8.18224	−	7.35194i	−0.743840	−	0.668358i
$122$	1.36922	+	3.92475i	0.123963	+	0.355330i
$123$	1.94415	+	2.67589i	0.175298	+	0.241277i
$124$	−4.24359	+	6.40272i	−0.381085	+	0.574981i
$125$	6.52174	+	2.11904i	0.583323	+	0.189533i
$126$	0.841976	−	2.79444i	0.0750092	−	0.248948i
$127$	−11.2265	−	8.15650i	−0.996187	−	0.723772i	−0.0349194	−	0.999390i	$-0.511117\pi$
$127$	−11.2265	−	8.15650i	−0.996187	−	0.723772i	−0.961267	+	0.275618i	$0.911117\pi$
$128$	5.07031	+	10.1139i	0.448157	+	0.893955i
$129$	5.55916	−	1.80628i	0.489457	−	0.159034i
$130$	18.4163	−	26.5294i	1.61522	−	2.32678i
$131$		−	8.50766i		−	0.743317i	−0.928369	−	0.371659i	$-0.878789\pi$
$131$		−	8.50766i		−	0.743317i	0.928369	−	0.371659i	$-0.121211\pi$
$132$	−2.48875	−	7.89611i	−0.216618	−	0.687268i
$133$		−	3.93745i		−	0.341420i
$134$	12.4487	+	8.64168i	1.07540	+	0.746527i
$135$	−18.2519	+	5.93040i	−1.57087	+	0.510408i
$136$	−1.35998	−	1.63830i	−0.116617	−	0.140483i
$137$	−3.93506	−	2.85899i	−0.336195	−	0.244260i	0.406860	−	0.913491i	$-0.366624\pi$
$137$	−3.93506	−	2.85899i	−0.336195	−	0.244260i	−0.743055	+	0.669231i	$0.766624\pi$
$138$	−7.44869	−	2.24432i	−0.634075	−	0.191050i
$139$	−15.2832	−	4.96581i	−1.29630	−	0.421194i	−0.422009	−	0.906592i	$-0.638675\pi$
$139$	−15.2832	−	4.96581i	−1.29630	−	0.421194i	−0.874294	+	0.485397i	$0.838675\pi$
$140$	5.47259	−	8.25704i	0.462519	−	0.697847i
$141$	3.38679	+	4.66152i	0.285219	+	0.392571i
$142$	15.7076	−	5.47988i	1.31816	−	0.459862i
$143$	5.67421	+	21.1325i	0.474501	+	1.76719i
$144$	−1.30469	+	5.61940i	−0.108724	+	0.468283i
$145$	−0.254780	−	0.350674i	−0.0211583	−	0.0291219i
$146$	5.35351	+	7.04476i	0.443059	+	0.583028i
$147$	−1.91010	+	5.87867i	−0.157542	+	0.484865i
$148$	0.173168	+	4.02354i	0.0142344	+	0.330733i
$149$	17.2096	+	12.5035i	1.40986	+	1.02433i	0.993342	+	0.115198i	$0.0367504\pi$
$149$	17.2096	+	12.5035i	1.40986	+	1.02433i	0.416520	+	0.909127i	$0.363250\pi$
$150$	−12.3195	+	0.264986i	−1.00588	+	0.0216360i
$151$	−4.91773	−	15.1352i	−0.400199	−	1.23169i	−0.924838	−	0.380361i	$-0.875800\pi$
$151$	−4.91773	−	15.1352i	−0.400199	−	1.23169i	0.524639	−	0.851325i	$-0.324200\pi$
$152$	0.501793	+	7.76672i	0.0407008	+	0.629964i
$153$		−	1.08569i		−	0.0877726i
$154$	1.87946	+	6.44313i	0.151451	+	0.519202i
$155$	−13.2940			−1.06780
$156$	−4.41088	+	15.8669i	−0.353153	+	1.27037i
$157$	1.98718	−	0.645673i	0.158594	−	0.0515303i	−0.228644	−	0.973510i	$-0.573429\pi$
$157$	1.98718	−	0.645673i	0.158594	−	0.0515303i	0.387238	+	0.921980i	$0.373429\pi$
$158$	2.31707	−	0.0498388i	0.184336	−	0.00396496i
$159$	3.82542	−	5.26523i	0.303375	−	0.417560i
$160$	−9.74254	+	16.9847i	−0.770215	+	1.34275i
$161$	5.99798	+	1.94886i	0.472707	+	0.153592i
$162$	2.92008	−	2.21905i	0.229423	−	0.174345i
$163$	8.87445	−	6.44766i	0.695100	−	0.505020i	−0.183233	−	0.983070i	$-0.558656\pi$
$163$	8.87445	−	6.44766i	0.695100	−	0.505020i	0.878333	+	0.478050i	$0.158656\pi$
$164$	3.29684	+	4.14998i	0.257440	+	0.324059i
$165$	9.01138	−	11.1400i	0.701535	−	0.867245i
$166$	−16.3107	+	5.69028i	−1.26596	+	0.441652i
$167$	10.5048	−	7.63218i	0.812885	−	0.590595i	−0.101781	−	0.994807i	$-0.532454\pi$
$167$	10.5048	−	7.63218i	0.812885	−	0.590595i	0.914666	+	0.404211i	$0.132454\pi$
$168$	−1.24799	+	4.89487i	−0.0962847	+	0.377647i
$169$	9.43289	−	29.0315i	0.725607	−	2.23319i
$170$	1.06310	−	3.52832i	0.0815360	−	0.270610i
$171$	−2.33263	+	3.21059i	−0.178381	+	0.245520i
$172$	8.77541	−	3.27478i	0.669119	−	0.249700i
$173$	−1.07620	−	3.31219i	−0.0818217	−	0.251821i	0.901774	−	0.432208i	$-0.142265\pi$
$173$	−1.07620	−	3.31219i	−0.0818217	−	0.251821i	−0.983596	+	0.180386i	$0.942265\pi$
$174$	0.181576	+	0.126047i	0.0137652	+	0.00955561i
$175$	9.98947			0.755133
$176$	−4.52840	−	12.4697i	−0.341341	−	0.939939i
$177$	7.69182			0.578153
$178$	−12.4253	−	8.62544i	−0.931314	−	0.646504i
$179$	0.835692	+	2.57200i	0.0624626	+	0.192240i	0.977418	−	0.211315i	$-0.0677745\pi$
$179$	0.835692	+	2.57200i	0.0624626	+	0.192240i	−0.914956	+	0.403555i	$0.867774\pi$
$180$	−9.35400	+	3.49070i	−0.697206	+	0.260181i
$181$	6.52174	−	8.97641i	0.484757	−	0.667211i	−0.494653	−	0.869091i	$-0.664705\pi$
$181$	6.52174	−	8.97641i	0.484757	−	0.667211i	0.979410	+	0.201879i	$0.0647048\pi$
$182$	3.85160	−	12.7831i	0.285499	−	0.947545i
$183$	1.13363	−	3.48897i	0.0838006	−	0.257912i
$184$	−12.0795	−	3.07979i	−0.890515	−	0.227045i
$185$	−5.63880	+	4.09682i	−0.414572	+	0.301205i
$186$	6.40081	−	2.23303i	0.469330	−	0.163734i
$187$	1.36090	+	2.09322i	0.0995189	+	0.153072i
$188$	5.74324	+	7.22945i	0.418869	+	0.527262i
$189$	−6.41843	+	4.66326i	−0.466872	+	0.339203i
$190$	−10.7245	+	8.14985i	−0.778038	+	0.591252i
$191$	−12.9352	−	4.20291i	−0.935961	−	0.304112i	−0.198963	−	0.980007i	$-0.563757\pi$
$191$	−12.9352	−	4.20291i	−0.935961	−	0.304112i	−0.736998	+	0.675895i	$0.763757\pi$
$192$	1.83789	−	9.81429i	0.132638	−	0.708285i
$193$	−3.16835	+	4.36086i	−0.228063	+	0.313901i	−0.907678	−	0.419667i	$-0.862147\pi$
$193$	−3.16835	+	4.36086i	−0.228063	+	0.313901i	0.679615	+	0.733569i	$0.262147\pi$
$194$	16.0295	−	0.344787i	1.15085	−	0.0247542i
$195$	−27.1069	+	8.80757i	−1.94117	+	0.630723i
$196$	−2.65289	+	9.54300i	−0.189492	+	0.681643i
$197$	−6.42744			−0.457936			−0.228968	−	0.973434i	$-0.573535\pi$
$197$	−6.42744			−0.457936			−0.228968	+	0.973434i	$0.573535\pi$
$198$	2.28454	−	6.36715i	0.162355	−	0.452494i
$199$		−	3.62012i		−	0.256623i	−0.991734	−	0.128312i	$-0.959044\pi$
$199$		−	3.62012i		−	0.256623i	0.991734	−	0.128312i	$-0.0409558\pi$
$200$	−19.7045	+	1.27307i	−1.39332	+	0.0900196i
$201$	−4.13288	−	12.7197i	−0.291511	−	0.897177i
$202$	12.4892	−	0.268635i	0.878735	−	0.0189011i
$203$	−0.144968	−	0.105326i	−0.0101748	−	0.00739242i
$204$	0.0808009	+	1.87740i	0.00565720	+	0.131444i
$205$	−2.83458	+	8.72393i	−0.197976	+	0.609306i
$206$	−15.0487	−	19.8028i	−1.04849	−	1.37973i
$207$	−3.73620	−	5.14244i	−0.259684	−	0.357424i
$208$	−5.96828	+	25.7058i	−0.413826	+	1.78238i
$209$	0.472897	−	9.11401i	0.0327110	−	0.630430i
$210$	−8.25458	+	2.87975i	−0.569620	+	0.198722i
$211$	12.3044	+	16.9355i	0.847067	+	1.16589i	0.984501	+	0.175377i	$0.0561144\pi$
$211$	12.3044	+	16.9355i	0.847067	+	1.16589i	−0.137434	+	0.990511i	$0.543886\pi$
$212$	5.76147	−	8.69289i	0.395699	−	0.597030i
$213$	−13.9635	−	4.53703i	−0.956766	−	0.310872i
$214$	6.28070	+	1.89240i	0.429340	+	0.129362i
$215$	13.1146	+	9.52832i	0.894409	+	0.649826i
$216$	12.0662	−	10.0164i	0.821003	−	0.681528i
$217$	−5.22674	+	1.69827i	−0.354814	+	0.115286i
$218$	13.7715	+	9.55999i	0.932726	+	0.647484i
$219$		−	7.80886i		−	0.527674i
$220$	13.6591	−	18.4553i	0.920896	−	1.24426i
$221$		−	4.96645i		−	0.334080i
$222$	2.02682	−	2.91971i	0.136031	−	0.195958i
$223$	−2.52383	+	0.820041i	−0.169008	+	0.0549140i	−0.392299	−	0.919838i	$-0.628320\pi$
$223$	−2.52383	+	0.820041i	−0.169008	+	0.0549140i	0.223291	+	0.974752i	$0.428320\pi$
$224$	−1.66069	+	7.92237i	−0.110960	+	0.529336i
$225$	−8.14541	−	5.91798i	−0.543027	−	0.394532i
$226$	0.919874	−	3.05297i	0.0611891	−	0.203081i
$227$	−3.31167	−	1.07603i	−0.219803	−	0.0714184i	0.197045	−	0.980394i	$-0.436865\pi$
$227$	−3.31167	−	1.07603i	−0.219803	−	0.0714184i	−0.416848	+	0.908976i	$0.636865\pi$
$228$	3.79470	−	5.72544i	0.251310	−	0.379176i
$229$	7.74574	+	10.6611i	0.511853	+	0.704505i	0.984230	−	0.176891i	$-0.0566041\pi$
$229$	7.74574	+	10.6611i	0.511853	+	0.704505i	−0.472377	+	0.881396i	$0.656604\pi$
$230$	−7.10665	−	20.3706i	−0.468599	−	1.34320i
$231$	2.11987	−	5.53103i	0.139477	−	0.363915i
$232$	0.299377	+	0.189283i	0.0196550	+	0.0124270i
$233$	4.10254	+	5.64666i	0.268766	+	0.369925i	0.921973	−	0.387255i	$-0.126577\pi$
$233$	4.10254	+	5.64666i	0.268766	+	0.369925i	−0.653207	+	0.757180i	$0.726577\pi$
$234$	−10.7136	+	8.14154i	−0.700368	+	0.532229i
$235$	−4.93796	+	15.1975i	−0.322117	+	0.991374i
$236$	12.3141	−	0.529986i	0.801582	−	0.0344992i
$237$	−1.65476	−	1.20225i	−0.107488	−	0.0780947i
$238$	−0.0327594	−	1.52302i	−0.00212348	−	0.0987230i
$239$	−0.736760	−	2.26751i	−0.0476570	−	0.146673i	0.924396	−	0.381434i	$-0.124569\pi$
$239$	−0.736760	−	2.26751i	−0.0476570	−	0.146673i	−0.972053	+	0.234760i	$0.924569\pi$
$240$	15.9154	−	6.73236i	1.02733	−	0.434572i
$241$			10.0044i			0.644440i	0.946665	+	0.322220i	$0.104429\pi$
$241$			10.0044i			0.644440i	−0.946665	+	0.322220i	$0.895571\pi$
$242$	3.57655	+	15.1396i	0.229910	+	0.973212i
$243$	13.3963			0.859376
$244$	1.57448	−	5.66373i	0.100796	−	0.362583i
$245$	−16.3033	+	5.29725i	−1.04158	+	0.338429i
$246$	−0.100590	−	4.67655i	−0.00641339	−	0.298166i
$247$	−10.6706	+	14.6868i	−0.678952	+	0.934498i
$248$	10.0934	−	4.01598i	0.640934	−	0.255015i
$249$	14.4997	+	4.71123i	0.918880	+	0.298562i
$250$	−5.86761	−	7.72128i	−0.371100	−	0.488336i
$251$	14.1273	−	10.2641i	0.891709	−	0.647864i	−0.0446141	−	0.999004i	$-0.514206\pi$
$251$	14.1273	−	10.2641i	0.891709	−	0.647864i	0.936323	+	0.351140i	$0.114206\pi$
$252$	−3.23175	+	2.56737i	−0.203581	+	0.161729i
$253$	13.6495	+	5.23140i	0.858134	+	0.328896i
$254$	6.46428	+	18.5293i	0.405605	+	1.16263i
$255$	−2.63108	+	1.91159i	−0.164765	+	0.119708i
$256$	2.26612	−	15.8387i	0.141632	−	0.989919i
$257$	−2.52039	+	7.75695i	−0.157217	+	0.483865i	−0.998379	−	0.0569189i	$-0.981872\pi$
$257$	−2.52039	+	7.75695i	−0.157217	+	0.483865i	0.841162	+	0.540784i	$0.181872\pi$
$258$	−7.91495	−	2.38481i	−0.492763	−	0.148472i
$259$	−1.69362	+	2.33107i	−0.105237	+	0.144846i
$260$	−42.7896	+	15.9681i	−2.65370	+	0.990301i
$261$	0.0558098	+	0.171765i	0.00345454	+	0.0106320i
$262$	−6.86107	+	9.88363i	−0.423878	+	0.610613i
$263$	−21.0996			−1.30106			−0.650530	−	0.759481i	$-0.725453\pi$
$263$	−21.0996			−1.30106			−0.650530	+	0.759481i	$0.725453\pi$
$264$	−3.47661	+	11.1803i	−0.213971	+	0.688097i
$265$	18.0491			1.10875
$266$	−3.17539	+	4.57427i	−0.194696	+	0.280467i
$267$	4.12511	+	12.6958i	0.252453	+	0.776969i
$268$	−7.49290	−	20.0787i	−0.457702	−	1.22650i
$269$	12.3273	−	16.9671i	0.751610	−	1.03450i	−0.246255	−	0.969205i	$-0.579200\pi$
$269$	12.3273	−	16.9671i	0.751610	−	1.03450i	0.997866	−	0.0652981i	$-0.0207998\pi$
$270$	25.9865	+	7.82984i	1.58149	+	0.476509i
$271$	−6.16426	+	18.9717i	−0.374452	+	1.15245i	0.569395	+	0.822064i	$0.307178\pi$
$271$	−6.16426	+	18.9717i	−0.374452	+	1.15245i	−0.943847	+	0.330382i	$0.892822\pi$
$272$	0.258715	+	3.00003i	0.0156869	+	0.181903i
$273$	−9.53237	+	6.92567i	−0.576925	+	0.419161i
$274$	2.26584	+	6.49485i	0.136884	+	0.392368i
$275$	23.1226	+	1.19976i	1.39435	+	0.0723482i
$276$	6.84345	+	8.61436i	0.411927	+	0.518524i
$277$	−0.866547	+	0.629583i	−0.0520658	+	0.0378280i	−0.613514	−	0.789684i	$-0.710244\pi$
$277$	−0.866547	+	0.629583i	−0.0520658	+	0.0378280i	0.561448	+	0.827512i	$0.310244\pi$
$278$	13.7503	+	18.0942i	0.824687	+	1.08522i
$279$	5.26797	+	1.71167i	0.315385	+	0.102475i
$280$	−13.0167	+	5.17907i	−0.777894	+	0.309509i
$281$	−2.05101	+	2.82297i	−0.122353	+	0.168404i	−0.865800	−	0.500391i	$-0.833190\pi$
$281$	−2.05101	+	2.82297i	−0.122353	+	0.168404i	0.743447	+	0.668795i	$0.233190\pi$
$282$	−0.175232	−	8.14675i	−0.0104349	−	0.485132i
$283$	19.4768	−	6.32839i	1.15777	−	0.376184i	0.333707	−	0.942677i	$-0.391700\pi$
$283$	19.4768	−	6.32839i	1.15777	−	0.376184i	0.824066	+	0.566493i	$0.191700\pi$
$284$	−22.6674	−	6.30138i	−1.34506	−	0.373918i
$285$	11.8877			0.704169
$286$	10.4506	−	29.1264i	0.617955	−	1.72228i
$287$			3.79206i			0.223838i
$288$	6.04751	−	5.47606i	0.356353	−	0.322680i
$289$	5.07817	+	15.6290i	0.298716	+	0.919353i
$290$	0.0131823	+	0.612859i	0.000774090	+	0.0359883i
$291$	−11.4477	−	8.31723i	−0.671075	−	0.487565i
$292$	−0.538050	−	12.5015i	−0.0314870	−	0.731595i
$293$	−8.03179	+	24.7193i	−0.469222	+	1.44412i	0.384372	+	0.923178i	$0.374418\pi$
$293$	−8.03179	+	24.7193i	−0.469222	+	1.44412i	−0.853594	+	0.520939i	$0.825582\pi$
$294$	6.95993	−	5.28904i	0.405911	−	0.308463i
$295$	12.5384	+	17.2577i	0.730015	+	1.00478i
$296$	3.04364	−	4.81394i	0.176908	−	0.279804i
$297$	−15.4168	+	10.0232i	−0.894574	+	0.581604i
$298$	−9.90940	−	28.4045i	−0.574036	−	1.64543i
$299$	−17.0912	−	23.5240i	−0.988407	−	1.36043i
$300$	14.5257	+	9.62731i	0.838640	+	0.555833i
$301$	6.37343	+	2.07085i	0.367359	+	0.119362i
$302$	−6.49282	+	21.5490i	−0.373620	+	1.24001i
$303$	−8.91929	−	6.48024i	−0.512400	−	0.372280i
$304$	5.68058	−	9.42754i	0.325804	−	0.540706i
$305$	9.67591	−	3.14389i	0.554041	−	0.180019i
$306$	−0.875561	+	1.26128i	−0.0500525	+	0.0721026i
$307$		−	9.33420i		−	0.532731i	−0.963872	−	0.266366i	$-0.914177\pi$
$307$		−	9.33420i		−	0.532731i	0.963872	−	0.266366i	$-0.0858228\pi$
$308$	3.01268	−	9.00091i	0.171663	−	0.512874i
$309$			21.9507i			1.24873i
$310$	15.4441	+	10.7210i	0.877164	+	0.608914i
$311$	18.5133	−	6.01534i	1.04979	−	0.341099i	0.267206	−	0.963639i	$-0.413899\pi$
$311$	18.5133	−	6.01534i	1.04979	−	0.341099i	0.782588	+	0.622541i	$0.213899\pi$
$312$	17.9202	−	14.8759i	1.01453	−	0.842181i
$313$	−11.9727	−	8.69865i	−0.676735	−	0.491677i	0.195538	−	0.980696i	$-0.437355\pi$
$313$	−11.9727	−	8.69865i	−0.676735	−	0.491677i	−0.872273	+	0.489020i	$0.837355\pi$
$314$	−2.82928	−	0.852474i	−0.159665	−	0.0481079i
$315$	−6.79365	−	2.20739i	−0.382779	−	0.124372i
$316$	−2.73201	−	1.81072i	−0.153687	−	0.101861i
$317$	−18.6496	−	25.6690i	−1.04747	−	1.44171i	−0.890986	−	0.454031i	$-0.849985\pi$
$317$	−18.6496	−	25.6690i	−1.04747	−	1.44171i	−0.156480	−	0.987681i	$-0.550015\pi$
$318$	−8.69030	+	3.03176i	−0.487328	+	0.170013i
$319$	−0.322908	−	0.261208i	−0.0180794	−	0.0146249i
$320$	25.0156	−	11.8747i	1.39842	−	0.663816i
$321$	−3.40279	−	4.68353i	−0.189925	−	0.261409i
$322$	−5.39639	−	7.10118i	−0.300729	−	0.395733i
$323$	−0.640109	+	1.97005i	−0.0356166	+	0.109617i
$324$	−5.18193	+	0.223024i	−0.287885	+	0.0123902i
$325$	−37.2610	−	27.0717i	−2.06687	−	1.50167i
$326$	−15.5095	+	0.333601i	−0.858992	+	0.0184765i
$327$	−4.57206	−	14.0713i	−0.252835	−	0.778147i
$328$	−0.483265	−	7.47994i	−0.0266838	−	0.413010i
$329$			6.60594i			0.364197i
$330$	−19.4527	+	5.67437i	−1.07084	+	0.312364i
$331$	−0.462745			−0.0254347			−0.0127174	−	0.999919i	$-0.504048\pi$
$331$	−0.462745			−0.0254347			−0.0127174	+	0.999919i	$0.504048\pi$
$332$	23.5377	+	6.54333i	1.29180	+	0.359112i
$333$	2.76196	−	0.897414i	0.151354	−	0.0491780i
$334$	−18.3588	+	0.394888i	−1.00455	+	0.0216073i
$335$	21.8014	−	30.0070i	1.19114	−	1.63946i
$336$	5.39734	−	4.68008i	0.294449	−	0.255319i
$337$	21.3704	+	6.94366i	1.16412	+	0.378245i	0.826445	−	0.563017i	$-0.190360\pi$
$337$	21.3704	+	6.94366i	1.16412	+	0.378245i	0.337675	+	0.941263i	$0.390360\pi$
$338$	−34.3712	+	26.1196i	−1.86954	+	1.42072i
$339$	−2.27661	+	1.65405i	−0.123648	+	0.0898358i
$340$	−4.08048	+	3.24163i	−0.221295	+	0.175802i
$341$	−12.3023	+	3.30324i	−0.666207	+	0.178881i
$342$	5.29911	−	1.84869i	0.286543	−	0.0999655i
$343$	−13.8367	+	10.0529i	−0.747111	+	0.542808i
$344$	−12.8357	−	3.27257i	−0.692053	−	0.176445i
$345$	−5.88390	+	18.1088i	−0.316779	+	0.974944i
$346$	−1.42089	+	4.71579i	−0.0763875	+	0.253523i
$347$	−10.6270	+	14.6268i	−0.570486	+	0.785207i	−0.992612	−	0.121330i	$-0.961284\pi$
$347$	−10.6270	+	14.6268i	−0.570486	+	0.785207i	0.422126	+	0.906537i	$0.361284\pi$
$348$	−0.109291	−	0.292866i	−0.00585862	−	0.0156993i
$349$	0.0983383	+	0.302654i	0.00526393	+	0.0162007i	0.953654	−	0.300905i	$-0.0972889\pi$
$349$	0.0983383	+	0.302654i	0.00526393	+	0.0162007i	−0.948390	+	0.317106i	$0.897289\pi$
$350$	−11.6051	−	8.05609i	−0.620319	−	0.430616i
$351$	36.5784			1.95241
$352$	−4.79549	+	18.1384i	−0.255601	+	0.966782i
$353$	−35.8303			−1.90706			−0.953529	−	0.301303i	$-0.902579\pi$
$353$	−35.8303			−1.90706			−0.953529	+	0.301303i	$0.902579\pi$
$354$	−8.93585	−	6.20313i	−0.474935	−	0.329693i
$355$	−12.5825	−	38.7249i	−0.667810	−	2.05531i
$356$	7.47881	+	20.0409i	0.396376	+	1.06217i
$357$	−0.790250	+	1.08769i	−0.0418245	+	0.0575664i
$358$	1.10335	−	3.66193i	0.0583141	−	0.193539i
$359$	7.17559	−	22.0842i	0.378713	−	1.16556i	−0.562226	−	0.826984i	$-0.690055\pi$
$359$	7.17559	−	22.0842i	0.378713	−	1.16556i	0.940939	−	0.338576i	$-0.109945\pi$
$360$	13.6820	+	3.48834i	0.721103	+	0.183852i
$361$	−9.24568	+	6.71738i	−0.486615	+	0.353546i
$362$	−14.8156	+	5.16869i	−0.778692	+	0.271660i
$363$	5.57115	−	12.5481i	0.292409	−	0.658603i
$364$	−14.7835	+	11.7444i	−0.774868	+	0.615573i
$365$	17.5203	−	12.7292i	0.917052	−	0.666277i
$366$	−4.13068	+	3.13902i	−0.215914	+	0.164079i
$367$	−12.4753	−	4.05346i	−0.651203	−	0.211589i	−0.0352586	−	0.999378i	$-0.511225\pi$
$367$	−12.4753	−	4.05346i	−0.651203	−	0.211589i	−0.615945	+	0.787789i	$0.711225\pi$
$368$	11.5495	+	13.3195i	0.602059	+	0.694329i
$369$	2.24650	−	3.09204i	0.116948	−	0.160965i
$370$	9.85470	−	0.211969i	0.512321	−	0.0110198i
$371$	7.09628	−	2.30572i	0.368420	−	0.119707i
$372$	−9.23689	−	2.56779i	−0.478910	−	0.133134i
$373$	11.1209			0.575820			0.287910	−	0.957657i	$-0.407040\pi$
$373$	11.1209			0.575820			0.287910	+	0.957657i	$0.407040\pi$
$374$	0.107091	−	3.52928i	0.00553752	−	0.182495i
$375$			8.55876i			0.441973i
$376$	−0.841868	−	13.0304i	−0.0434160	−	0.671990i
$377$	0.255301	+	0.785735i	0.0131487	+	0.0404674i
$378$	11.2172	−	0.241277i	0.576952	−	0.0124099i
$379$	−3.56804	−	2.59234i	−0.183278	−	0.133159i	0.492363	−	0.870390i	$-0.336133\pi$
$379$	−3.56804	−	2.59234i	−0.183278	−	0.133159i	−0.675641	+	0.737231i	$0.736133\pi$
$380$	19.0315	−	0.819095i	0.976297	−	0.0420187i
$381$	5.35206	−	16.4719i	0.274194	−	0.843883i
$382$	11.6378	+	15.3144i	0.595443	+	0.783552i
$383$	−1.05035	−	1.44568i	−0.0536703	−	0.0738709i	0.781338	−	0.624108i	$-0.214537\pi$
$383$	−1.05035	−	1.44568i	−0.0536703	−	0.0738709i	−0.835009	+	0.550237i	$0.814537\pi$
$384$	−10.0499	+	9.91941i	−0.512859	+	0.506198i
$385$	15.8652	−	4.25991i	0.808567	−	0.217105i
$386$	7.19763	−	2.51102i	0.366350	−	0.127807i
$387$	−3.97007	−	5.46434i	−0.201810	−	0.277768i
$388$	−18.9001	−	12.5266i	−0.959508	−	0.635942i
$389$	17.8795	+	5.80939i	0.906525	+	0.294548i	0.724928	−	0.688825i	$-0.241873\pi$
$389$	17.8795	+	5.80939i	0.906525	+	0.294548i	0.181598	+	0.983373i	$0.441873\pi$
$390$	38.5940	+	11.6285i	1.95428	+	0.588834i
$391$	−2.68419	−	1.95018i	−0.135745	−	0.0986246i
$392$	10.7780	−	8.94699i	0.544370	−	0.451891i
$393$	10.0988	−	3.28130i	0.509417	−	0.165520i
$394$	7.46697	+	5.18346i	0.376181	+	0.261139i
$395$		−	5.67247i		−	0.285413i
$396$	−7.78887	+	5.55455i	−0.391405	+	0.279127i
$397$			16.9423i			0.850309i	0.905121	+	0.425154i	$0.139780\pi$
$397$			16.9423i			0.850309i	−0.905121	+	0.425154i	$0.860220\pi$
$398$	−2.91947	+	4.20561i	−0.146340	+	0.210808i
$399$	4.67385	−	1.51863i	0.233985	−	0.0760264i
$400$	23.9180	+	14.4119i	1.19590	+	0.720593i
$401$	−22.0372	−	16.0110i	−1.10049	−	0.799551i	−0.119348	−	0.992853i	$-0.538080\pi$
$401$	−22.0372	−	16.0110i	−1.10049	−	0.799551i	−0.981139	+	0.193302i	$0.938080\pi$
$402$	−5.45659	+	18.1099i	−0.272150	+	0.903239i
$403$	24.0982	+	7.82998i	1.20042	+	0.390039i
$404$	−14.7257	−	9.75990i	−0.732633	−	0.485573i
$405$	−5.27631	−	7.26222i	−0.262182	−	0.360862i
$406$	0.0834740	+	0.239271i	0.00414274	+	0.0118748i
$407$	−4.20020	+	5.19232i	−0.208196	+	0.257374i
$408$	1.42017	−	2.24620i	0.0703090	−	0.111203i
$409$	8.51572	+	11.7209i	0.421075	+	0.579560i	0.965876	−	0.259005i	$-0.0833947\pi$
$409$	8.51572	+	11.7209i	0.421075	+	0.579560i	−0.544801	+	0.838565i	$0.683395\pi$
$410$	10.3285	−	7.84892i	0.510089	−	0.387631i
$411$	1.87599	−	5.77369i	0.0925356	−	0.284795i
$412$	1.51246	+	35.1418i	0.0745136	+	1.73131i
$413$	7.13430	+	5.18337i	0.351056	+	0.255057i
$414$	0.193311	+	8.98723i	0.00950070	+	0.441698i
$415$	13.0656	+	40.2118i	0.641365	+	1.97392i
$416$	27.6642	−	25.0501i	1.35635	−	1.22818i
$417$		−	20.0568i		−	0.982184i
$418$	−7.89945	+	10.2067i	−0.386375	+	0.499225i
$419$	−29.5266			−1.44247			−0.721234	−	0.692691i	$-0.756425\pi$
$419$	−29.5266			−1.44247			−0.721234	+	0.692691i	$0.756425\pi$
$420$	11.9120	+	3.31146i	0.581247	+	0.161583i
$421$	25.1953	−	8.18646i	1.22795	−	0.398984i	0.377976	−	0.925815i	$-0.376620\pi$
$421$	25.1953	−	8.18646i	1.22795	−	0.398984i	0.849970	+	0.526831i	$0.176620\pi$
$422$	−0.636626	−	29.5975i	−0.0309905	−	1.44078i
$423$	3.91350	−	5.38648i	0.190281	−	0.261899i
$424$	−13.7037	+	5.45245i	−0.665513	+	0.264794i
$425$	−4.99810	−	1.62398i	−0.242444	−	0.0787747i
$426$	12.5630	+	16.5318i	0.608679	+	0.800970i
$427$	3.40261	−	2.47214i	0.164664	−	0.119635i
$428$	−5.77036	−	7.26359i	−0.278921	−	0.351099i
$429$	−22.8964	+	14.8860i	−1.10545	+	0.718702i
$430$	−7.55150	−	21.6458i	−0.364166	−	1.04385i
$431$	−15.6499	+	11.3703i	−0.753827	+	0.547688i	−0.897011	−	0.442008i	$-0.854266\pi$
$431$	−15.6499	+	11.3703i	−0.753827	+	0.547688i	0.143183	+	0.989696i	$0.454266\pi$
$432$	−22.0955	+	1.90546i	−1.06307	+	0.0916765i
$433$	2.01155	−	6.19091i	0.0966689	−	0.297516i	−0.891016	−	0.453972i	$-0.850007\pi$
$433$	2.01155	−	6.19091i	0.0966689	−	0.297516i	0.987685	+	0.156455i	$0.0500067\pi$
$434$	7.44167	+	2.24221i	0.357211	+	0.107629i
$435$	0.317994	−	0.437681i	0.0152466	−	0.0209852i
$436$	−8.28913	−	22.2123i	−0.396977	−	1.06378i
$437$	3.74766	+	11.5341i	0.179275	+	0.551752i
$438$	−6.29752	+	9.07182i	−0.300907	+	0.433468i
$439$	−3.89313			−0.185809			−0.0929044	−	0.995675i	$-0.529615\pi$
$439$	−3.89313			−0.185809			−0.0929044	+	0.995675i	$0.529615\pi$
$440$	−30.7517	+	10.4247i	−1.46603	+	0.496976i
$441$	7.14250			0.340119
$442$	−4.00523	+	5.76969i	−0.190509	+	0.274436i
$443$	9.08528	+	27.9616i	0.431655	+	1.32850i	0.896476	+	0.443092i	$0.146118\pi$
$443$	9.08528	+	27.9616i	0.431655	+	1.32850i	−0.464822	+	0.885404i	$0.653882\pi$
$444$	−4.70925	+	1.75739i	−0.223491	+	0.0834018i
$445$	−21.7604	+	29.9506i	−1.03154	+	1.41979i
$446$	3.59335	+	1.08269i	0.170150	+	0.0512669i
$447$	−8.20442	+	25.2506i	−0.388056	+	1.19431i
$448$	8.31834	−	7.86441i	0.393004	−	0.371558i
$449$	19.3694	−	14.0727i	0.914096	−	0.664130i	−0.0279511	−	0.999609i	$-0.508898\pi$
$449$	19.3694	−	14.0727i	0.914096	−	0.664130i	0.942048	+	0.335479i	$0.108898\pi$
$450$	4.69019	+	13.4440i	0.221098	+	0.633759i
$451$	−0.455436	+	8.77748i	−0.0214456	+	0.413316i
$452$	−3.53074	+	2.80490i	−0.166072	+	0.131931i
$453$	16.0692	−	11.6749i	0.754995	−	0.548536i
$454$	2.97951	+	3.92078i	0.139835	+	0.184011i
$455$	−31.0774	−	10.0977i	−1.45693	−	0.473386i
$456$	−9.02575	+	3.59117i	−0.422670	+	0.168172i
$457$	−19.8130	+	27.2702i	−0.926811	+	1.27565i	0.0342799	+	0.999412i	$0.489086\pi$
$457$	−19.8130	+	27.2702i	−0.926811	+	1.27565i	−0.961091	+	0.276233i	$0.910914\pi$
$458$	−0.400764	−	18.6320i	−0.0187265	−	0.870615i
$459$	3.96948	−	1.28976i	0.185280	−	0.0602010i
$460$	−8.17202	+	29.3965i	−0.381023	+	1.37062i
$461$	1.14908			0.0535180			0.0267590	−	0.999642i	$-0.491481\pi$
$461$	1.14908			0.0535180			0.0267590	+	0.999642i	$0.491481\pi$
$462$	−6.92327	+	4.71600i	−0.322100	+	0.219408i
$463$		−	35.5695i		−	1.65305i	−0.562897	−	0.826527i	$-0.690313\pi$
$463$		−	35.5695i		−	1.65305i	0.562897	−	0.826527i	$-0.309687\pi$
$464$	−0.195147	−	0.461331i	−0.00905949	−	0.0214167i
$465$	−5.12733	−	15.7803i	−0.237774	−	0.731793i
$466$	−0.212265	−	9.86843i	−0.00983297	−	0.457146i
$467$	7.76496	+	5.64158i	0.359320	+	0.261061i	0.752768	−	0.658286i	$-0.228718\pi$
$467$	7.76496	+	5.64158i	0.359320	+	0.261061i	−0.393449	+	0.919347i	$0.628718\pi$
$468$	19.0121	−	0.818259i	0.878835	−	0.0378240i
$469$	4.73824	−	14.5828i	0.218792	−	0.673371i
$470$	17.9927	−	13.6732i	0.829942	−	0.630696i
$471$	1.53286	+	2.10980i	0.0706304	+	0.0972144i
$472$	−14.7332	−	9.31513i	−0.678149	−	0.428764i
$473$	14.5039	+	5.55887i	0.666889	+	0.255597i
$474$	0.952824	+	2.73119i	0.0437646	+	0.125448i
$475$	11.2912	+	15.5410i	0.518076	+	0.713071i
$476$	−1.19020	+	1.79577i	−0.0545526	+	0.0823089i
$477$	−7.15226	−	2.32391i	−0.327479	−	0.106405i
$478$	−0.972735	+	3.22841i	−0.0444919	+	0.147664i
$479$	−10.6121	−	7.71014i	−0.484879	−	0.352285i	0.318332	−	0.947979i	$-0.396877\pi$
$479$	−10.6121	−	7.71014i	−0.484879	−	0.352285i	−0.803212	+	0.595694i	$0.796877\pi$
$480$	−23.9188	−	5.01386i	−1.09174	−	0.228851i
$481$	12.6345	−	4.10520i	0.576084	−	0.187181i
$482$	8.06813	−	11.6225i	0.367493	−	0.529388i
$483$			7.87141i			0.358162i
$484$	8.05447	−	20.4726i	0.366112	−	0.930571i
$485$		−	39.2423i		−	1.78190i
$486$	−15.5630	−	10.8036i	−0.705952	−	0.490061i
$487$	13.1809	−	4.28273i	0.597283	−	0.194069i	0.00525485	−	0.999986i	$-0.498327\pi$
$487$	13.1809	−	4.28273i	0.597283	−	0.194069i	0.592028	+	0.805917i	$0.298327\pi$
$488$	−6.39668	+	5.31000i	−0.289564	+	0.240372i
$489$	11.0763	+	8.04740i	0.500888	+	0.363916i
$490$	23.2121	+	6.99390i	1.04861	+	0.315952i
$491$	7.72819	+	2.51104i	0.348768	+	0.113322i	0.478162	−	0.878272i	$-0.341303\pi$
$491$	7.72819	+	2.51104i	0.348768	+	0.113322i	−0.129394	+	0.991593i	$0.541303\pi$
$492$	−3.65458	+	5.51403i	−0.164761	+	0.248592i
$493$	0.0554103	+	0.0762658i	0.00249556	+	0.00343484i
$494$	24.2406	−	8.45677i	1.09064	−	0.380488i
$495$	−15.4601	−	5.92538i	−0.694882	−	0.266326i
$496$	−14.9646	−	3.47443i	−0.671931	−	0.156007i
$497$	−9.89402	−	13.6179i	−0.443807	−	0.610848i
$498$	−13.0454	−	17.1666i	−0.584576	−	0.769253i
$499$	−2.03291	+	6.25665i	−0.0910055	+	0.280086i	−0.986192	−	0.165605i	$-0.947042\pi$
$499$	−2.03291	+	6.25665i	−0.0910055	+	0.280086i	0.895187	+	0.445692i	$0.147042\pi$
$500$	0.589720	+	13.7021i	0.0263731	+	0.612774i
$501$	13.1112	+	9.52581i	0.585763	+	0.425582i
$502$	−24.6898	+	0.531063i	−1.10196	+	0.0237025i
$503$	11.1744	+	34.3912i	0.498242	+	1.53343i	0.811843	+	0.583875i	$0.198464\pi$
$503$	11.1744	+	34.3912i	0.498242	+	1.53343i	−0.313602	+	0.949555i	$0.601536\pi$
$504$	5.82491	−	0.376336i	0.259462	−	0.0167633i
$505$		−	30.5751i		−	1.36057i
$506$	−11.6381	−	17.0852i	−0.517378	−	0.759531i
$507$	38.0992			1.69205
$508$	7.43336	−	26.7393i	0.329802	−	1.18637i
$509$	−17.9333	+	5.82690i	−0.794881	+	0.258273i	−0.678181	−	0.734895i	$-0.737232\pi$
$509$	−17.9333	+	5.82690i	−0.794881	+	0.258273i	−0.116700	+	0.993167i	$0.537232\pi$
$510$	4.59823	−	0.0989055i	0.203613	−	0.00437961i
$511$	5.26224	−	7.24286i	0.232788	−	0.320405i
$512$	−15.4059	+	16.5728i	−0.680850	+	0.732423i
$513$	−14.5096	−	4.71447i	−0.640616	−	0.208149i
$514$	9.18367	−	6.97892i	0.405074	−	0.307827i
$515$	−49.2495	+	35.7818i	−2.17019	+	1.57674i
$516$	7.27182	+	9.15359i	0.320124	+	0.402964i
$517$	−0.793389	+	15.2908i	−0.0348932	+	0.672487i
$518$	3.84745	−	1.34225i	0.169047	−	0.0589751i
$519$	3.51658	−	2.55494i	0.154361	−	0.112150i
$520$	62.5878	+	15.9573i	2.74466	+	0.699776i
$521$	−8.33018	+	25.6377i	−0.364952	+	1.12321i	0.585059	+	0.810991i	$0.301071\pi$
$521$	−8.33018	+	25.6377i	−0.364952	+	1.12321i	−0.950011	+	0.312216i	$0.898929\pi$
$522$	0.0736851	−	0.244553i	0.00322511	−	0.0107038i
$523$	−15.4730	+	21.2968i	−0.676588	+	0.931243i	−0.999887	−	0.0150535i	$-0.995208\pi$
$523$	−15.4730	+	21.2968i	−0.676588	+	0.931243i	0.323299	+	0.946297i	$0.395208\pi$
$524$	15.9415	−	5.94899i	0.696406	−	0.259883i
$525$	3.85282	+	11.8578i	0.168151	+	0.517515i
$526$	24.5122	+	17.0160i	1.06878	+	0.741931i
$527$	2.89122			0.125943
$528$	13.0553	−	10.1847i	0.568159	−	0.443234i
$529$	3.57496			0.155433
$530$	−20.9682	−	14.5558i	−0.910801	−	0.632264i
$531$	−2.74656	−	8.45303i	−0.119190	−	0.366830i
$532$	7.37791	−	2.75327i	0.319873	−	0.119369i
$533$	10.2766	−	14.1445i	0.445127	−	0.612665i
$534$	5.44633	−	18.0758i	0.235686	−	0.782218i
$535$	4.96128	−	15.2692i	0.214495	−	0.660147i
$536$	−7.48784	+	29.3688i	−0.323426	+	1.26854i
$537$	−2.73071	+	1.98397i	−0.117839	+	0.0856148i
$538$	−28.0043	+	9.76980i	−1.20735	+	0.421206i
$539$	−13.7708	+	8.95307i	−0.593152	+	0.385636i
$540$	−23.8749	−	30.0532i	−1.02741	−	1.29328i
$541$	−28.9843	+	21.0583i	−1.24613	+	0.905369i	−0.997991	−	0.0633548i	$-0.979820\pi$
$541$	−28.9843	+	21.0583i	−1.24613	+	0.905369i	−0.248142	+	0.968724i	$0.579820\pi$
$542$	22.4611	−	17.0688i	0.964786	−	0.733168i
$543$	13.1706	+	4.27938i	0.565204	+	0.183646i
$544$	2.11884	−	3.69388i	0.0908444	−	0.158374i
$545$	24.1181	−	33.1957i	1.03311	−	1.42195i
$546$	16.6593	−	0.358334i	0.712954	−	0.0153353i
$547$	−2.46974	+	0.802466i	−0.105598	+	0.0343110i	−0.361340	−	0.932434i	$-0.617680\pi$
$547$	−2.46974	+	0.802466i	−0.105598	+	0.0343110i	0.255741	+	0.966745i	$0.417680\pi$
$548$	2.60552	−	9.37259i	0.111302	−	0.400377i
$549$	−4.23904			−0.180918
$550$	−25.8948	−	20.0412i	−1.10416	−	0.854561i
$551$		−	0.344584i		−	0.0146798i
$552$	−1.00314	−	15.5265i	−0.0426965	−	0.660854i
$553$	−0.724643	−	2.23022i	−0.0308150	−	0.0948387i
$554$	1.51443	−	0.0325746i	0.0643419	−	0.00138396i
$555$	−7.03785	−	5.11330i	−0.298740	−	0.217047i
$556$	−1.38196	−	32.1097i	−0.0586082	−	1.36175i
$557$	−5.74085	+	17.6685i	−0.243248	+	0.748639i	0.752672	+	0.658396i	$0.228765\pi$
$557$	−5.74085	+	17.6685i	−0.243248	+	0.748639i	−0.995920	+	0.0902436i	$0.971235\pi$
$558$	−4.73959	−	6.23690i	−0.200643	−	0.264029i
$559$	−18.1610	−	24.9965i	−0.768128	−	1.05724i
$560$	19.2986	+	4.48068i	0.815514	+	0.189343i
$561$	−1.95982	+	2.42275i	−0.0827438	+	0.102289i
$562$	4.65934	−	1.62549i	0.196542	−	0.0685672i
$563$	6.88635	+	9.47824i	0.290225	+	0.399460i	0.929087	−	0.369861i	$-0.120595\pi$
$563$	6.88635	+	9.47824i	0.290225	+	0.399460i	−0.638862	+	0.769321i	$0.720595\pi$
$564$	−6.36644	+	9.60568i	−0.268076	+	0.404472i
$565$	−7.42219	−	2.41162i	−0.312254	−	0.101457i
$566$	−27.7304	−	8.35529i	−1.16560	−	0.351199i
$567$	−3.00219	−	2.18122i	−0.126080	−	0.0916027i
$568$	21.2517	+	25.6008i	0.891701	+	1.07419i
$569$	0.0584948	−	0.0190061i	0.00245223	−	0.000796778i	−0.307791	−	0.951454i	$-0.599590\pi$
$569$	0.0584948	−	0.0190061i	0.00245223	−	0.000796778i	0.310243	+	0.950657i	$0.399590\pi$
$570$	−13.8104	−	9.58696i	−0.578454	−	0.401554i
$571$		−	13.5141i		−	0.565549i	−0.959186	−	0.282775i	$-0.908745\pi$
$571$		−	13.5141i		−	0.565549i	0.959186	−	0.282775i	$-0.0912549\pi$
$572$	−35.6300	+	25.4092i	−1.48976	+	1.06241i
$573$		−	16.9755i		−	0.709160i
$574$	3.05814	−	4.40537i	0.127644	−	0.183876i
$575$	−29.2625	+	9.50797i	−1.22033	+	0.396510i
$576$	−11.4418	+	1.48466i	−0.476742	+	0.0618610i
$577$	23.6007	+	17.1469i	0.982509	+	0.713834i	0.958268	−	0.285872i	$-0.0922831\pi$
$577$	23.6007	+	17.1469i	0.982509	+	0.713834i	0.0242409	+	0.999706i	$0.492283\pi$
$578$	6.70465	−	22.2521i	0.278877	−	0.925564i
$579$	−6.39844	−	2.07898i	−0.265910	−	0.0863994i
$580$	0.478931	−	0.722611i	0.0198865	−	0.0300048i
$581$	10.2739	+	14.1408i	0.426233	+	0.586659i
$582$	6.59167	+	18.8945i	0.273233	+	0.783201i
$583$	16.7027	−	4.48477i	0.691754	−	0.185740i
$584$	−9.45687	+	14.9573i	−0.391328	+	0.618939i
$585$	19.3584	+	26.6446i	0.800372	+	1.10162i
$586$	29.2659	−	22.2400i	1.20896	−	0.918724i
$587$	−5.16224	+	15.8877i	−0.213068	+	0.655757i	0.786217	+	0.617951i	$0.212037\pi$
$587$	−5.16224	+	15.8877i	−0.213068	+	0.655757i	−0.999285	+	0.0378060i	$0.987963\pi$
$588$	−12.3510	+	0.531571i	−0.509346	+	0.0219216i
$589$	−8.54991	−	6.21187i	−0.352293	−	0.255956i
$590$	−0.648737	−	30.1605i	−0.0267081	−	1.24169i
$591$	−2.47898	−	7.62953i	−0.101972	−	0.313837i
$592$	−7.41814	+	3.13794i	−0.304883	+	0.128969i
$593$		−	25.8884i		−	1.06311i	−0.847024	−	0.531555i	$-0.821608\pi$
$593$		−	25.8884i		−	1.06311i	0.847024	−	0.531555i	$-0.178392\pi$
$594$	25.9935	+	0.788734i	1.06653	+	0.0323621i
$595$	−3.72856			−0.152856
$596$	−11.3949	+	40.9900i	−0.466755	+	1.67902i
$597$	4.29717	−	1.39624i	0.175871	−	0.0571441i
$598$	0.884294	+	41.1119i	0.0361615	+	1.68119i
$599$	−20.0324	+	27.5722i	−0.818500	+	1.12657i	0.171456	+	0.985192i	$0.445153\pi$
$599$	−20.0324	+	27.5722i	−0.818500	+	1.12657i	−0.989956	+	0.141377i	$0.954847\pi$
$600$	−9.11094	−	22.8987i	−0.371953	−	0.934836i
$601$	−13.2879	−	4.31751i	−0.542026	−	0.176115i	0.0251919	−	0.999683i	$-0.491980\pi$
$601$	−13.2879	−	4.31751i	−0.542026	−	0.176115i	−0.567218	+	0.823568i	$0.691980\pi$
$602$	−5.73418	−	7.54569i	−0.233708	−	0.307539i
$603$	−12.5027	+	9.08376i	−0.509150	+	0.369919i
$604$	24.9213	−	19.7980i	1.01403	−	0.805571i
$605$	37.2348	−	7.95496i	1.51381	−	0.323415i
$606$	5.13580	+	14.7213i	0.208627	+	0.598014i
$607$	14.8915	−	10.8193i	0.604426	−	0.439141i	−0.243021	−	0.970021i	$-0.578138\pi$
$607$	14.8915	−	10.8193i	0.604426	−	0.439141i	0.847447	+	0.530880i	$0.178138\pi$
$608$	−14.2022	+	6.37114i	−0.575977	+	0.258384i
$609$	0.0691117	−	0.212704i	0.00280055	−	0.00861920i
$610$	−13.7762	−	4.15084i	−0.557784	−	0.168063i
$611$	17.9022	−	24.6403i	0.724247	−	0.996840i
$612$	2.03434	−	0.759168i	0.0822332	−	0.0306876i
$613$	−1.90751	−	5.87070i	−0.0770435	−	0.237115i	0.905116	−	0.425164i	$-0.139784\pi$
$613$	−1.90751	−	5.87070i	−0.0770435	−	0.237115i	−0.982160	+	0.188049i	$0.939784\pi$
$614$	−7.52764	+	10.8439i	−0.303791	+	0.437623i
$615$	−11.4488			−0.461660
$616$	−10.7588	+	8.02706i	−0.433484	+	0.323420i
$617$	1.39128			0.0560109			0.0280054	−	0.999608i	$-0.491084\pi$
$617$	1.39128			0.0560109			0.0280054	+	0.999608i	$0.491084\pi$
$618$	17.7023	−	25.5009i	0.712092	−	1.02580i
$619$	−3.39184	−	10.4390i	−0.136330	−	0.419580i	0.859465	−	0.511195i	$-0.170797\pi$
$619$	−3.39184	−	10.4390i	−0.136330	−	0.419580i	−0.995794	+	0.0916154i	$0.970797\pi$
$620$	−9.29584	−	24.9100i	−0.373330	−	1.00041i
$621$	14.3633	−	19.7693i	0.576378	−	0.793316i
$622$	−26.3587	−	7.94199i	−1.05689	−	0.318445i
$623$	−4.72933	+	14.5554i	−0.189477	+	0.583149i
$624$	−32.8153	+	2.82991i	−1.31366	+	0.113287i
$625$	9.03643	−	6.56535i	0.361457	−	0.262614i
$626$	6.89395	+	19.7610i	0.275538	+	0.789807i
$627$	11.0010	−	2.95382i	0.439336	−	0.117964i
$628$	2.59938	+	3.27204i	0.103727	+	0.130569i
$629$	1.22634	−	0.890990i	0.0488975	−	0.0355261i
$630$	6.11225	+	8.04320i	0.243518	+	0.320449i
$631$	1.93780	+	0.629628i	0.0771425	+	0.0250651i	0.347334	−	0.937741i	$-0.387087\pi$
$631$	1.93780	+	0.629628i	0.0771425	+	0.0250651i	−0.270192	+	0.962807i	$0.587087\pi$
$632$	1.71360	+	4.30682i	0.0681633	+	0.171316i
$633$	−15.3572	+	21.1374i	−0.610395	+	0.840136i
$634$	0.964928	+	44.8606i	0.0383222	+	1.78164i
$635$	45.6814	−	14.8428i	1.81281	−	0.589019i
$636$	12.5408	+	3.48626i	0.497275	+	0.138239i
$637$	32.6732			1.29456
$638$	0.164480	+	0.563867i	0.00651183	+	0.0223237i
$639$			16.9655i			0.671144i
$640$	−38.6380	−	6.37882i	−1.52730	−	0.252145i
$641$	−1.03461	−	3.18420i	−0.0408646	−	0.125768i	0.928543	−	0.371225i	$-0.121062\pi$
$641$	−1.03461	−	3.18420i	−0.0408646	−	0.125768i	−0.969408	+	0.245457i	$0.921062\pi$
$642$	0.176060	+	8.18522i	0.00694852	+	0.323045i
$643$	−33.9880	−	24.6938i	−1.34036	−	0.973827i	−0.999431	−	0.0337372i	$-0.989259\pi$
$643$	−33.9880	−	24.6938i	−1.34036	−	0.973827i	−0.340927	−	0.940090i	$-0.610741\pi$
$644$	0.542360	+	12.6016i	0.0213720	+	0.496574i
$645$	−6.25221	+	19.2423i	−0.246181	+	0.757666i
$646$	2.33240	−	1.77246i	0.0917670	−	0.0697363i
$647$	−6.76639	−	9.31313i	−0.266014	−	0.366137i	0.655025	−	0.755607i	$-0.272658\pi$
$647$	−6.76639	−	9.31313i	−0.266014	−	0.366137i	−0.921039	+	0.389470i	$0.872658\pi$
$648$	6.19988	+	3.91991i	0.243554	+	0.153989i
$649$	15.8912	+	12.8548i	0.623785	+	0.504595i
$650$	21.4552	+	61.4995i	0.841541	+	2.41221i
$651$	−4.03178	−	5.54927i	−0.158018	−	0.217493i
$652$	18.2870	+	12.1202i	0.716173	+	0.474664i
$653$	−39.9222	−	12.9715i	−1.56227	−	0.507614i	−0.604860	−	0.796331i	$-0.706771\pi$
$653$	−39.9222	−	12.9715i	−1.56227	−	0.507614i	−0.957414	+	0.288718i	$0.906771\pi$
$654$	−6.03643	+	20.0343i	−0.236043	+	0.783404i
$655$	23.8241	+	17.3092i	0.930884	+	0.676327i
$656$	−5.47083	+	9.07943i	−0.213600	+	0.354492i
$657$	−8.58166	+	2.78835i	−0.334802	+	0.108784i
$658$	5.32741	−	7.67434i	0.207684	−	0.299177i
$659$			38.3263i			1.49298i	0.665396	+	0.746490i	$0.268263\pi$
$659$			38.3263i			1.49298i	−0.665396	+	0.746490i	$0.731737\pi$
$660$	27.1750	+	9.09571i	1.05779	+	0.354050i
$661$			12.9209i			0.502563i	0.967914	+	0.251281i	$0.0808520\pi$
$661$			12.9209i			0.502563i	−0.967914	+	0.251281i	$0.919148\pi$
$662$	0.537586	+	0.373184i	0.0208939	+	0.0145042i
$663$	5.89530	−	1.91550i	0.228954	−	0.0743918i
$664$	−22.0676	−	26.5838i	−0.856390	−	1.03165i
$665$	11.0261	+	8.01092i	0.427573	+	0.310650i
$666$	−3.93239	−	1.18485i	−0.152377	−	0.0459118i
$667$	0.524910	+	0.170554i	0.0203246	+	0.00660387i
$668$	21.6465	+	14.3468i	0.837528	+	0.555096i
$669$	−1.94682	−	2.67957i	−0.0752684	−	0.103598i
$670$	−49.5268	+	17.2783i	−1.91339	+	0.667518i
$671$	8.17293	−	5.31360i	0.315513	−	0.205129i
$672$	−10.0446	+	1.08428i	−0.387477	+	0.0418270i
$673$	−24.8122	−	34.1511i	−0.956442	−	1.31643i	−0.948606	−	0.316460i	$-0.897506\pi$
$673$	−24.8122	−	34.1511i	−0.956442	−	1.31643i	−0.00783601	−	0.999969i	$-0.502494\pi$
$674$	−19.2269	−	25.3010i	−0.740594	−	0.974559i
$675$	11.9608	−	36.8116i	0.460371	−	1.41688i
$676$	60.9945	−	2.62513i	2.34594	−	0.100967i
$677$	6.94588	+	5.04648i	0.266952	+	0.193952i	0.713206	−	0.700954i	$-0.247242\pi$
$677$	6.94588	+	5.04648i	0.266952	+	0.193952i	−0.446254	+	0.894906i	$0.647242\pi$
$678$	3.97874	−	0.0855805i	0.152803	−	0.00328670i
$679$	−5.01310	−	15.4287i	−0.192385	−	0.592101i
$680$	7.35467	−	0.475171i	0.282039	−	0.0182220i
$681$		−	4.34604i		−	0.166541i
$682$	16.9559	+	6.08380i	0.649276	+	0.232961i
$683$	28.2213			1.07986			0.539928	−	0.841711i	$-0.318451\pi$
$683$	28.2213			1.07986			0.539928	+	0.841711i	$0.318451\pi$
$684$	−7.64704	−	2.12583i	−0.292392	−	0.0812830i
$685$	16.0121	−	5.20265i	0.611792	−	0.198783i
$686$	24.1818	−	0.520138i	0.923267	−	0.0198590i
$687$	−9.66755	+	13.3062i	−0.368840	+	0.507665i
$688$	12.2724	+	14.1533i	0.467882	+	0.539589i
$689$	−32.7178	−	10.6307i	−1.24645	−	0.404996i
$690$	21.4395	−	16.2925i	0.816188	−	0.620244i
$691$	8.43429	−	6.12787i	0.320855	−	0.233115i	−0.415685	−	0.909509i	$-0.636458\pi$
$691$	8.43429	−	6.12787i	0.320855	−	0.233115i	0.736540	+	0.676394i	$0.236458\pi$
$692$	5.45378	−	4.33261i	0.207322	−	0.164701i
$693$	−6.83535	−	0.354665i	−0.259654	−	0.0134726i
$694$	24.1416	−	8.42222i	0.916403	−	0.319703i
$695$	45.0001	−	32.6945i	1.70695	−	1.24017i
$696$	−0.109217	+	0.428372i	−0.00413987	+	0.0162374i
$697$	0.616473	−	1.89731i	0.0233506	−	0.0718657i
$698$	0.129835	−	0.430909i	0.00491432	−	0.0163102i
$699$	−5.12042	+	7.04766i	−0.193672	+	0.266567i
$700$	6.98515	+	18.7181i	0.264014	+	0.707476i
$701$	6.36425	+	19.5871i	0.240374	+	0.739796i	0.996363	+	0.0852113i	$0.0271565\pi$
$701$	6.36425	+	19.5871i	0.240374	+	0.739796i	−0.755989	+	0.654585i	$0.772843\pi$
$702$	−42.4944	−	29.4990i	−1.60385	−	1.11337i
$703$	−5.54086			−0.208978
$704$	20.1990	−	17.2047i	0.761278	−	0.648426i
$705$	−19.9443			−0.751146
$706$	41.6253	+	28.8957i	1.56659	+	1.08750i
$707$	−3.90588	−	12.0211i	−0.146896	−	0.452099i
$708$	5.37852	+	14.4128i	0.202137	+	0.541665i
$709$	−10.4287	+	14.3539i	−0.391658	+	0.539071i	−0.958626	−	0.284669i	$-0.908116\pi$
$709$	−10.4287	+	14.3539i	−0.391658	+	0.539071i	0.566968	+	0.823740i	$0.308116\pi$
$710$	−16.6125	+	55.1353i	−0.623457	+	2.06919i
$711$	−0.730359	+	2.24782i	−0.0273906	+	0.0842996i
$712$	7.47377	−	29.3136i	0.280091	−	1.09857i
$713$	13.6945	−	9.94961i	0.512862	−	0.372616i
$714$	1.79523	−	0.626298i	0.0671849	−	0.0234386i
$715$	−70.7221	−	27.1055i	−2.64486	−	1.01369i
$716$	−4.23499	+	3.36437i	−0.158269	+	0.125733i
$717$	2.40744	−	1.74910i	0.0899074	−	0.0653215i
$718$	−26.1461	+	19.8692i	−0.975764	+	0.741510i
$719$	39.9775	+	12.9895i	1.49091	+	0.484426i	0.937351	−	0.348385i	$-0.113270\pi$
$719$	39.9775	+	12.9895i	1.49091	+	0.484426i	0.553557	+	0.832811i	$0.313270\pi$
$720$	−13.0816	−	15.0865i	−0.487522	−	0.562239i
$721$	−14.7922	+	20.3597i	−0.550889	+	0.758234i
$722$	16.1583	−	0.347556i	0.601350	−	0.0129347i
$723$	−11.8755	+	3.85858i	−0.441654	+	0.143502i
$724$	21.3801	+	5.94354i	0.794587	+	0.220890i
$725$	0.874223			0.0324678
$726$	−16.5917	+	10.0846i	−0.615775	+	0.374276i
$727$			28.2673i			1.04838i	0.851602	+	0.524189i	$0.175631\pi$
$727$			28.2673i			1.04838i	−0.851602	+	0.524189i	$0.824369\pi$
$728$	26.6459	−	1.72154i	0.987563	−	0.0638045i
$729$	7.57098	+	23.3011i	0.280407	+	0.863004i
$730$	−30.6194	+	0.658608i	−1.13328	+	0.0243762i
$731$	−2.85221	−	2.07225i	−0.105493	−	0.0766449i
$732$	7.33025	−	0.315485i	0.270934	−	0.0116607i
$733$	10.0445	−	30.9137i	0.371001	−	1.14182i	−0.575137	−	0.818057i	$-0.695051\pi$
$733$	10.0445	−	30.9137i	0.371001	−	1.14182i	0.946137	−	0.323765i	$-0.104949\pi$
$734$	11.2240	+	14.7698i	0.414285	+	0.545164i
$735$	−12.5759	−	17.3093i	−0.463870	−	0.638463i
$736$	−2.67579	−	24.7879i	−0.0986308	−	0.913695i
$737$	12.7190	−	33.1857i	0.468511	−	1.22241i
$738$	−5.10344	+	1.78042i	−0.187860	+	0.0655383i
$739$	13.9205	+	19.1599i	0.512075	+	0.704810i	0.984267	−	0.176685i	$-0.0565374\pi$
$739$	13.9205	+	19.1599i	0.512075	+	0.704810i	−0.472193	+	0.881495i	$0.656537\pi$
$740$	−11.6195	−	7.70115i	−0.427141	−	0.283100i
$741$	−21.5491	−	7.00172i	−0.791625	−	0.257215i
$742$	−10.1035	−	3.04422i	−0.370910	−	0.111757i
$743$	−10.1076	−	7.34362i	−0.370813	−	0.269411i	0.386735	−	0.922191i	$-0.373603\pi$
$743$	−10.1076	−	7.34362i	−0.370813	−	0.269411i	−0.757548	+	0.652780i	$0.773603\pi$
$744$	8.65999	+	10.4323i	0.317491	+	0.382465i
$745$	−70.0273	+	22.7532i	−2.56560	+	0.833614i
$746$	−12.9196	−	8.96857i	−0.473019	−	0.328363i
$747$		−	17.6169i		−	0.644568i
$748$	−2.97062	+	4.01372i	−0.108617	+	0.146756i
$749$		−	6.63713i		−	0.242515i
$750$	6.90228	−	9.94300i	0.252036	−	0.363067i
$751$	4.15146	−	1.34889i	0.151489	−	0.0492217i	−0.232291	−	0.972646i	$-0.574622\pi$
$751$	4.15146	−	1.34889i	0.151489	−	0.0492217i	0.383780	+	0.923425i	$0.374622\pi$
$752$	−9.53042	+	15.8168i	−0.347539	+	0.576778i
$753$	17.6325	+	12.8108i	0.642563	+	0.466850i
$754$	0.337070	−	1.11870i	0.0122754	−	0.0407408i
$755$	52.3886	+	17.0221i	1.90662	+	0.619497i
$756$	−13.2260	−	8.76593i	−0.481026	−	0.318814i
$757$	−11.5578	−	15.9080i	−0.420076	−	0.578185i	0.545564	−	0.838069i	$-0.316316\pi$
$757$	−11.5578	−	15.9080i	−0.420076	−	0.578185i	−0.965640	+	0.259884i	$0.916316\pi$
$758$	2.05451	+	5.88908i	0.0746231	+	0.213901i
$759$	−0.945375	+	18.2199i	−0.0343149	+	0.661342i
$760$	−22.7701	−	14.3966i	−0.825960	−	0.522218i
$761$	6.31497	+	8.69181i	0.228917	+	0.315078i	0.907989	−	0.418995i	$-0.137617\pi$
$761$	6.31497	+	8.69181i	0.228917	+	0.315078i	−0.679071	+	0.734072i	$0.737617\pi$
$762$	−19.5016	+	14.8198i	−0.706468	+	0.536865i
$763$	5.24175	−	16.1324i	0.189764	−	0.584034i
$764$	−1.16965	−	27.1767i	−0.0423165	−	0.983217i
$765$	3.04026	+	2.20888i	0.109921	+	0.0798622i
$766$	0.0543449	+	2.52656i	0.00196356	+	0.0912883i
$767$	−12.5641	−	38.6682i	−0.453662	−	1.39623i
$768$	19.6750	−	3.41886i	0.709959	−	0.123367i
$769$			28.3787i			1.02336i	0.859176	+	0.511680i	$0.170977\pi$
$769$			28.3787i			1.02336i	−0.859176	+	0.511680i	$0.829023\pi$
$770$	−21.8666	−	7.84575i	−0.788018	−	0.282741i
$771$	−10.1798			−0.366616
$772$	−10.3868	−	2.88745i	−0.373828	−	0.103922i
$773$	−12.7726	+	4.15006i	−0.459398	+	0.149267i	−0.529568	−	0.848268i	$-0.677646\pi$
$773$	−12.7726	+	4.15006i	−0.459398	+	0.149267i	0.0701700	+	0.997535i	$0.477646\pi$
$774$	0.205411	+	9.54980i	0.00738335	+	0.343260i
$775$	15.7598	−	21.6915i	0.566108	−	0.779180i
$776$	11.8547	+	29.7947i	0.425560	+	1.06957i
$777$	−3.42025	−	1.11131i	−0.122701	−	0.0398679i
$778$	−16.0862	−	21.1680i	−0.576717	−	0.758910i
$779$	−5.89946	+	4.28621i	−0.211370	+	0.153569i
$780$	−35.4580	−	44.6337i	−1.26960	−	1.59814i
$781$	−21.2661	−	32.7097i	−0.760962	−	1.17045i
$782$	1.54558	+	4.43027i	0.0552697	+	0.158426i
$783$	−0.561706	+	0.408103i	−0.0200737	+	0.0145844i
$784$	−19.7365	+	1.70203i	−0.704876	+	0.0607866i
$785$	−2.23491	+	6.87836i	−0.0797675	+	0.245499i
$786$	−14.3783	−	4.33226i	−0.512859	−	0.154527i
$787$	31.3392	−	43.1347i	1.11712	−	1.53759i	0.306635	−	0.951827i	$-0.400797\pi$
$787$	31.3392	−	43.1347i	1.11712	−	1.53759i	0.810486	−	0.585758i	$-0.199203\pi$
$788$	−4.49439	−	12.0436i	−0.160106	−	0.429035i
$789$	−8.13787	−	25.0458i	−0.289716	−	0.891654i
$790$	−4.57461	+	6.58990i	−0.162757	+	0.234458i
$791$	−3.22623			−0.114712
$792$	13.5281	−	0.171520i	0.480700	−	0.00609469i
$793$	−19.3914			−0.688608
$794$	13.6632	−	19.6824i	0.484890	−	0.698503i
$795$	6.96131	+	21.4247i	0.246892	+	0.759856i
$796$	6.78330	−	2.53137i	0.240428	−	0.0897221i
$797$	−7.58342	+	10.4377i	−0.268619	+	0.369722i	−0.921923	−	0.387374i	$-0.873382\pi$
$797$	−7.58342	+	10.4377i	−0.268619	+	0.369722i	0.653304	+	0.757096i	$0.273382\pi$
$798$	−6.65448	−	2.00503i	−0.235566	−	0.0709771i
$799$	1.07392	−	3.30519i	0.0379927	−	0.116929i
$800$	−16.1638	−	36.0316i	−0.571478	−	1.27391i
$801$	12.4792	−	9.06669i	0.440932	−	0.320356i
$802$	12.6892	+	36.3726i	0.448072	+	1.28436i
$803$	13.0504	−	16.1330i	0.460538	−	0.569322i
$804$	20.9440	−	16.6384i	0.738636	−	0.586790i
$805$	−17.6606	+	12.8312i	−0.622454	+	0.452239i
$806$	−21.6812	−	28.5305i	−0.763686	−	1.00495i
$807$	24.8949	+	8.08884i	0.876341	+	0.284741i
$808$	9.23643	+	23.2141i	0.324937	+	0.816669i
$809$	11.5869	−	15.9479i	0.407372	−	0.560700i	−0.555203	−	0.831715i	$-0.687359\pi$
$809$	11.5869	−	15.9479i	0.407372	−	0.560700i	0.962575	+	0.271015i	$0.0873594\pi$
$810$	0.272996	+	12.6919i	0.00959209	+	0.445947i
$811$	3.05542	−	0.992767i	0.107290	−	0.0348608i	−0.254880	−	0.966973i	$-0.582036\pi$
$811$	3.05542	−	0.992767i	0.107290	−	0.0348608i	0.362170	+	0.932112i	$0.382036\pi$
$812$	0.0959878	−	0.345288i	0.00336851	−	0.0121172i
$813$	−24.8973			−0.873187
$814$	9.06690	−	2.64482i	0.317795	−	0.0927008i
$815$			37.9693i			1.33001i
$816$	−3.46132	+	1.46417i	−0.121171	+	0.0512564i
$817$	3.98225	+	12.2561i	0.139321	+	0.428787i
$818$	−0.440602	−	20.4841i	−0.0154053	−	0.716210i
$819$	11.0148	+	8.00275i	0.384889	+	0.279639i
$820$	−18.3288	+	0.788850i	−0.640070	+	0.0275479i
$821$	10.5519	−	32.4755i	0.368265	−	1.13340i	−0.579647	−	0.814868i	$-0.696809\pi$
$821$	10.5519	−	32.4755i	0.368265	−	1.13340i	0.947911	−	0.318534i	$-0.103191\pi$
$822$	−6.83564	+	5.19459i	−0.238420	+	0.181182i
$823$	−11.0334	−	15.1861i	−0.384599	−	0.529355i	0.572197	−	0.820116i	$-0.306091\pi$
$823$	−11.0334	−	15.1861i	−0.384599	−	0.529355i	−0.956796	+	0.290762i	$0.906091\pi$
$824$	26.5833	−	42.0451i	0.926072	−	1.46471i
$825$	7.49397	+	27.9099i	0.260907	+	0.971697i
$826$	−4.10799	−	11.7752i	−0.142935	−	0.409712i
$827$	−28.3862	−	39.0702i	−0.987084	−	1.35860i	−0.932925	−	0.360072i	$-0.882752\pi$
$827$	−28.3862	−	39.0702i	−0.987084	−	1.35860i	−0.0541588	−	0.998532i	$-0.517248\pi$
$828$	7.02325	−	10.5967i	0.244075	−	0.368260i
$829$	23.8963	+	7.76436i	0.829951	+	0.269668i	0.693025	−	0.720914i	$-0.256278\pi$
$829$	23.8963	+	7.76436i	0.829951	+	0.269668i	0.136926	+	0.990581i	$0.456278\pi$
$830$	17.2504	−	57.2523i	0.598769	−	1.98725i
$831$	−1.08155	−	0.785790i	−0.0375185	−	0.0272588i
$832$	−52.3403	+	6.79156i	−1.81457	+	0.235455i
$833$	3.54568	−	1.15206i	0.122851	−	0.0399166i
$834$	−16.1749	+	23.3006i	−0.560092	+	0.806835i
$835$			44.9447i			1.55537i
$836$	17.4083	−	5.48688i	0.602079	−	0.189768i
$837$			21.2941i			0.736033i
$838$	34.3020	+	23.8120i	1.18494	+	0.822570i
$839$	−9.12336	+	2.96436i	−0.314973	+	0.102341i	−0.462238	−	0.886756i	$-0.652953\pi$
$839$	−9.12336	+	2.96436i	−0.314973	+	0.102341i	0.147264	+	0.989097i	$0.452953\pi$
$840$	−11.1681	−	13.4536i	−0.385334	−	0.464193i
$841$	23.4488	+	17.0366i	0.808580	+	0.587467i
$842$	−35.8723	−	10.8085i	−1.23624	−	0.372485i
$843$	−4.14199	−	1.34581i	−0.142658	−	0.0463523i
$844$	−23.1295	+	34.8978i	−0.796152	+	1.20123i
$845$	62.1055	+	85.4808i	2.13649	+	2.94063i
$846$	−8.89042	+	3.10158i	−0.305659	+	0.106634i
$847$	13.6232	−	7.88427i	0.468100	−	0.270907i
$848$	20.3173	+	4.71720i	0.697698	+	0.161989i
$849$	15.0239	+	20.6786i	0.515619	+	0.709689i
$850$	4.49679	+	5.91739i	0.154239	+	0.202965i
$851$	2.74248	−	8.44049i	0.0940110	−	0.289336i
$852$	−1.26264	−	29.3371i	−0.0432572	−	1.00507i
$853$	21.4801	+	15.6062i	0.735466	+	0.534347i	0.891288	−	0.453438i	$-0.149803\pi$
$853$	21.4801	+	15.6062i	0.735466	+	0.534347i	−0.155822	+	0.987785i	$0.549803\pi$
$854$	−5.94661	+	0.127908i	−0.203489	+	0.00437693i
$855$	−4.24481	−	13.0642i	−0.145170	−	0.446786i
$856$	0.845843	+	13.0919i	0.0289103	+	0.447472i
$857$			9.29115i			0.317380i	0.987328	+	0.158690i	$0.0507270\pi$
$857$			9.29115i			0.317380i	−0.987328	+	0.158690i	$0.949273\pi$
$858$	38.6044	+	1.17139i	1.31793	+	0.0399907i
$859$	0.473127			0.0161429			0.00807145	−	0.999967i	$-0.497431\pi$
$859$	0.473127			0.0161429			0.00807145	+	0.999967i	$0.497431\pi$
$860$	−8.68356	+	31.2366i	−0.296107	+	1.06516i
$861$	−4.50127	+	1.46255i	−0.153403	+	0.0498436i
$862$	27.3506	−	0.588298i	0.931567	−	0.0200375i
$863$	−3.66396	+	5.04300i	−0.124723	+	0.171666i	−0.866812	−	0.498635i	$-0.833835\pi$
$863$	−3.66396	+	5.04300i	−0.124723	+	0.171666i	0.742090	+	0.670301i	$0.233835\pi$
$864$	27.2058	+	15.6055i	0.925560	+	0.530909i
$865$	11.4647	+	3.72512i	0.389813	+	0.126658i
$866$	−7.32960	+	5.56996i	−0.249070	+	0.189275i
$867$	−16.5934	+	12.0558i	−0.563542	+	0.409437i
$868$	−6.83699	−	8.60624i	−0.232063	−	0.292115i
$869$	−1.40948	−	5.24932i	−0.0478132	−	0.178071i
$870$	−0.722395	+	0.252020i	−0.0244915	+	0.00854428i
$871$	−57.1934	+	41.5534i	−1.93792	+	1.40798i
$872$	−8.28354	+	32.4896i	−0.280516	+	1.10024i
$873$	−5.05265	+	15.5505i	−0.171006	+	0.526303i
$874$	4.94799	−	16.4219i	0.167368	−	0.555479i
$875$	−5.76759	+	7.93840i	−0.194980	+	0.268367i
$876$	14.6321	−	5.46036i	0.494372	−	0.184488i
$877$	−17.9712	−	55.3096i	−0.606844	−	1.86767i	−0.483582	−	0.875299i	$-0.660664\pi$
$877$	−17.9712	−	55.3096i	−0.606844	−	1.86767i	−0.123262	−	0.992374i	$-0.539336\pi$
$878$	4.52278	+	3.13964i	0.152636	+	0.105958i
$879$	−32.4402			−1.09418
$880$	44.1323	+	12.6892i	1.48770	+	0.427754i
$881$	−21.4583			−0.722949			−0.361475	−	0.932382i	$-0.617727\pi$
$881$	−21.4583			−0.722949			−0.361475	+	0.932382i	$0.617727\pi$
$882$	−8.29768	−	5.76012i	−0.279397	−	0.193953i
$883$	−11.8139	−	36.3594i	−0.397569	−	1.22359i	−0.926942	−	0.375204i	$-0.877573\pi$
$883$	−11.8139	−	36.3594i	−0.397569	−	1.22359i	0.529373	−	0.848389i	$-0.322427\pi$
$884$	9.30603	−	3.47280i	0.312996	−	0.116803i
$885$	−15.6494	+	21.5395i	−0.526047	+	0.724042i
$886$	11.9952	−	39.8108i	0.402986	−	1.33747i
$887$	−11.8654	+	36.5179i	−0.398400	+	1.22615i	0.527881	+	0.849318i	$0.322987\pi$
$887$	−11.8654	+	36.5179i	−0.398400	+	1.22615i	−0.926281	+	0.376832i	$0.877013\pi$
$888$	6.88816	+	1.75620i	0.231151	+	0.0589342i
$889$	16.0643	−	11.6714i	0.538778	−	0.391445i
$890$	49.4337	−	17.2458i	1.65702	−	0.578080i
$891$	−6.68720	−	5.40944i	−0.224030	−	0.181223i
$892$	−3.30137	−	4.15568i	−0.110538	−	0.139142i
$893$	−10.2771	+	7.46676i	−0.343911	+	0.249866i
$894$	29.8949	−	22.7180i	0.999836	−	0.759803i
$895$	−8.90264	−	2.89264i	−0.297582	−	0.0966904i
$896$	−16.0060	+	2.42796i	−0.534723	+	0.0811125i
$897$	21.3317	−	29.3605i	0.712244	−	0.980320i
$898$	−33.8510	+	0.728118i	−1.12962	+	0.0242976i
$899$	−0.457415	+	0.148623i	−0.0152557	+	0.00495686i
$900$	5.39331	−	19.4008i	0.179777	−	0.646695i
$901$	−3.92537			−0.130773
$902$	7.60777	−	9.82981i	0.253311	−	0.327297i
$903$			8.36413i			0.278341i
$904$	6.36382	−	0.411154i	0.211657	−	0.0136748i
$905$	11.8680	+	36.5258i	0.394504	+	1.21416i
$906$	−28.0834	+	0.604059i	−0.933009	+	0.0200685i
$907$	−0.530037	−	0.385095i	−0.0175996	−	0.0127869i	0.578951	−	0.815363i	$-0.303462\pi$
$907$	−0.530037	−	0.385095i	−0.0175996	−	0.0127869i	−0.596550	+	0.802576i	$0.703462\pi$
$908$	−0.299453	−	6.95775i	−0.00993771	−	0.230901i
$909$	−3.93670	+	12.1159i	−0.130572	+	0.401859i
$910$	27.9603	+	36.7934i	0.926876	+	1.21969i
$911$	28.8473	+	39.7049i	0.955754	+	1.31548i	0.948924	+	0.315506i	$0.102174\pi$
$911$	28.8473	+	39.7049i	0.955754	+	1.31548i	0.00683066	+	0.999977i	$0.497826\pi$
$912$	13.3817	+	3.10691i	0.443111	+	0.102880i
$913$	22.0826	+	33.9656i	0.730828	+	1.12410i
$914$	45.0096	−	15.7024i	1.48879	−	0.519389i
$915$	7.46376	+	10.2730i	0.246744	+	0.339614i
$916$	−14.5603	+	21.9686i	−0.481087	+	0.725863i
$917$	11.5780	+	3.76193i	0.382340	+	0.124230i
$918$	−5.65162	−	1.70286i	−0.186531	−	0.0562027i
$919$	−16.4110	−	11.9233i	−0.541350	−	0.393314i	0.283236	−	0.959050i	$-0.408592\pi$
$919$	−16.4110	−	11.9233i	−0.541350	−	0.393314i	−0.824586	+	0.565736i	$0.808592\pi$
$920$	33.2007	−	27.5605i	1.09460	−	0.908642i
$921$	11.0799	−	3.60009i	0.365096	−	0.118627i
$922$	−1.33492	−	0.926684i	−0.0439634	−	0.0305187i
$923$			77.6082i			2.55451i
$924$	11.8463	+	0.104582i	0.389713	+	0.00344050i
$925$		−	14.0574i		−	0.462204i
$926$	−28.6853	+	41.3223i	−0.942657	+	1.35793i
$927$	24.1230	−	7.83805i	0.792305	−	0.257435i
$928$	−0.145334	+	0.693322i	−0.00477083	+	0.0227594i
$929$	−20.9664	−	15.2330i	−0.687887	−	0.499779i	0.188078	−	0.982154i	$-0.439774\pi$
$929$	−20.9664	−	15.2330i	−0.687887	−	0.499779i	−0.875965	+	0.482375i	$0.839774\pi$
$930$	−6.76955	+	22.4675i	−0.221982	+	0.736737i
$931$	−12.9605	−	4.21113i	−0.424764	−	0.138014i
$932$	−7.71188	+	11.6357i	−0.252611	+	0.381139i
$933$	14.2807	+	19.6557i	0.467530	+	0.643500i
$934$	−4.47113	−	12.8161i	−0.146300	−	0.419357i
$935$	−8.63049	−	0.447809i	−0.282247	−	0.0146449i
$936$	−22.7469	−	14.3819i	−0.743506	−	0.470086i
$937$	−25.0688	−	34.5043i	−0.818962	−	1.12721i	−0.989878	−	0.141920i	$-0.954673\pi$
$937$	−25.0688	−	34.5043i	−0.818962	−	1.12721i	0.170916	−	0.985286i	$-0.445327\pi$
$938$	−17.2650	+	13.1201i	−0.563722	+	0.428388i
$939$	5.70780	−	17.5668i	0.186267	−	0.573271i
$940$	−31.9296	+	1.37421i	−1.04143	+	0.0448219i
$941$	−2.92074	−	2.12204i	−0.0952134	−	0.0691766i	0.539160	−	0.842203i	$-0.318742\pi$
$941$	−2.92074	−	2.12204i	−0.0952134	−	0.0691766i	−0.634373	+	0.773027i	$0.718742\pi$
$942$	−0.0793100	−	3.68721i	−0.00258406	−	0.120136i
$943$	−3.60928	−	11.1082i	−0.117534	−	0.361734i
$944$	9.60375	+	22.7034i	0.312576	+	0.738932i
$945$		−	27.4612i		−	0.893314i
$946$	−12.3666	−	18.1547i	−0.402074	−	0.590260i
$947$	24.5514			0.797813			0.398907	−	0.916992i	$-0.369390\pi$
$947$	24.5514			0.797813			0.398907	+	0.916992i	$0.369390\pi$
$948$	1.09566	−	3.94133i	0.0355855	−	0.128008i
$949$	−39.2566	+	12.7552i	−1.27432	+	0.414052i
$950$	−0.584206	−	27.1604i	−0.0189541	−	0.881200i
$951$	23.2768	−	32.0377i	0.754801	−	1.03889i
$952$	2.83090	−	1.12636i	0.0917501	−	0.0365056i
$953$	−4.79500	−	1.55799i	−0.155325	−	0.0504682i	0.230322	−	0.973114i	$-0.426022\pi$
$953$	−4.79500	−	1.55799i	−0.155325	−	0.0504682i	−0.385648	+	0.922646i	$0.626022\pi$
$954$	6.43489	+	8.46776i	0.208337	+	0.274154i
$955$	38.0868	−	27.6717i	1.23246	−	0.895434i
$956$	3.73364	−	2.96609i	0.120755	−	0.0959301i
$957$	0.185519	−	0.484045i	0.00599698	−	0.0156470i
$958$	6.11053	+	17.5153i	0.197422	+	0.565895i
$959$	5.63079	−	4.09101i	0.181828	−	0.132106i
$960$	23.7438	+	25.1143i	0.766328	+	0.810560i
$961$	5.02130	−	15.4540i	0.161978	−	0.498516i
$962$	−17.9886	−	5.42005i	−0.579976	−	0.174749i
$963$	−3.93198	+	5.41191i	−0.126706	+	0.174396i
$964$	−18.7460	+	6.99559i	−0.603769	+	0.225313i
$965$	−5.76561	−	17.7447i	−0.185602	−	0.571223i
$966$	6.34796	−	9.14448i	0.204242	−	0.294219i
$967$	32.9415			1.05933			0.529664	−	0.848208i	$-0.322318\pi$
$967$	32.9415			1.05933			0.529664	+	0.848208i	$0.322318\pi$
$968$	−25.8674	+	17.2881i	−0.831410	+	0.555660i
$969$	−2.58538			−0.0830545
$970$	−31.6473	+	45.5892i	−1.01613	+	1.46378i
$971$	14.2466	+	43.8466i	0.457196	+	1.40710i	0.868538	+	0.495623i	$0.165060\pi$
$971$	14.2466	+	43.8466i	0.457196	+	1.40710i	−0.411342	+	0.911481i	$0.634940\pi$
$972$	9.36741	+	25.1018i	0.300460	+	0.805140i
$973$	13.5159	−	18.6030i	0.433299	−	0.596385i
$974$	−18.7665	−	5.65444i	−0.601318	−	0.181180i
$975$	17.7637	−	54.6709i	0.568892	−	1.75087i
$976$	11.7135	−	1.01014i	0.374941	−	0.0323339i
$977$	26.4008	−	19.1813i	0.844635	−	0.613664i	−0.0790263	−	0.996873i	$-0.525181\pi$
$977$	26.4008	−	19.1813i	0.844635	−	0.613664i	0.923662	+	0.383209i	$0.125181\pi$
$978$	−6.37782	−	18.2815i	−0.203940	−	0.584578i
$979$	−12.6951	+	33.1233i	−0.405738	+	1.05863i
$980$	−21.3259	−	26.8446i	−0.681232	−	0.857519i
$981$	−13.8313	+	10.0490i	−0.441600	+	0.320841i
$982$	−6.95305	−	9.14962i	−0.221881	−	0.291976i
$983$	−8.03767	−	2.61160i	−0.256362	−	0.0832970i	0.178017	−	0.984027i	$-0.443032\pi$
$983$	−8.03767	−	2.61160i	−0.256362	−	0.0832970i	−0.434378	+	0.900730i	$0.643032\pi$
$984$	8.69248	−	3.45857i	0.277106	−	0.110255i
$985$	13.0769	−	17.9988i	0.416665	−	0.573490i
$986$	−0.00286692	−	0.133287i	−9.13014e−5	−	0.00424471i
$987$	−7.84141	+	2.54783i	−0.249595	+	0.0810983i
$988$	−34.9812	−	9.72454i	−1.11290	−	0.309379i
$989$	−20.6410			−0.656345
$990$	13.1820	+	19.3517i	0.418952	+	0.615037i
$991$		−	29.6890i		−	0.943104i	−0.881838	−	0.471552i	$-0.843694\pi$
$991$		−	29.6890i		−	0.943104i	0.881838	−	0.471552i	$-0.156306\pi$
$992$	14.5829	+	16.1047i	0.463008	+	0.511325i
$993$	−0.178475	−	0.549289i	−0.00566373	−	0.0174312i
$994$	0.511915	+	23.7995i	0.0162370	+	0.754875i
$995$	10.1375	+	7.36529i	0.321379	+	0.233495i
$996$	1.31111	+	30.4635i	0.0415443	+	0.965274i
$997$	−0.571855	+	1.75999i	−0.0181108	+	0.0557394i	−0.959703	−	0.281015i	$-0.909329\pi$
$997$	−0.571855	+	1.75999i	−0.0181108	+	0.0557394i	0.941593	+	0.336754i	$0.109329\pi$
$998$	7.40743	−	5.62911i	0.234478	−	0.178186i
$999$	6.56224	+	9.03215i	0.207620	+	0.285765i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	88.2.k.b.19.3	✓	32
3.2	odd	2		792.2.bp.b.19.6		32
4.3	odd	2		352.2.s.b.239.3		32
8.3	odd	2	inner	88.2.k.b.19.5	yes	32
8.5	even	2		352.2.s.b.239.4		32
11.2	odd	10		968.2.g.e.483.15		32
11.3	even	5		968.2.k.e.699.2		32
11.4	even	5		968.2.k.h.403.4		32
11.5	even	5		968.2.k.i.475.8		32
11.6	odd	10		968.2.k.e.475.1		32
11.7	odd	10	inner	88.2.k.b.51.5	yes	32
11.8	odd	10		968.2.k.i.699.7		32
11.9	even	5		968.2.g.e.483.18		32
11.10	odd	2		968.2.k.h.723.6		32
24.11	even	2		792.2.bp.b.19.4		32
33.29	even	10		792.2.bp.b.667.4		32
44.7	even	10		352.2.s.b.271.4		32
44.31	odd	10		3872.2.g.d.1935.10		32
44.35	even	10		3872.2.g.d.1935.9		32
88.3	odd	10		968.2.k.e.699.1		32
88.13	odd	10		3872.2.g.d.1935.11		32
88.19	even	10		968.2.k.i.699.8		32
88.27	odd	10		968.2.k.i.475.7		32
88.29	odd	10		352.2.s.b.271.3		32
88.35	even	10		968.2.g.e.483.17		32
88.43	even	2		968.2.k.h.723.4		32
88.51	even	10	inner	88.2.k.b.51.3	yes	32
88.53	even	10		3872.2.g.d.1935.12		32
88.59	odd	10		968.2.k.h.403.6		32
88.75	odd	10		968.2.g.e.483.16		32
88.83	even	10		968.2.k.e.475.2		32
264.227	odd	10		792.2.bp.b.667.6		32

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
88.2.k.b.19.3	✓	32	1.1	even	1	trivial
88.2.k.b.19.5	yes	32	8.3	odd	2	inner
88.2.k.b.51.3	yes	32	88.51	even	10	inner
88.2.k.b.51.5	yes	32	11.7	odd	10	inner
352.2.s.b.239.3		32	4.3	odd	2
352.2.s.b.239.4		32	8.5	even	2
352.2.s.b.271.3		32	88.29	odd	10
352.2.s.b.271.4		32	44.7	even	10
792.2.bp.b.19.4		32	24.11	even	2
792.2.bp.b.19.6		32	3.2	odd	2
792.2.bp.b.667.4		32	33.29	even	10
792.2.bp.b.667.6		32	264.227	odd	10
968.2.g.e.483.15		32	11.2	odd	10
968.2.g.e.483.16		32	88.75	odd	10
968.2.g.e.483.17		32	88.35	even	10
968.2.g.e.483.18		32	11.9	even	5
968.2.k.e.475.1		32	11.6	odd	10
968.2.k.e.475.2		32	88.83	even	10
968.2.k.e.699.1		32	88.3	odd	10
968.2.k.e.699.2		32	11.3	even	5
968.2.k.h.403.4		32	11.4	even	5
968.2.k.h.403.6		32	88.59	odd	10
968.2.k.h.723.4		32	88.43	even	2
968.2.k.h.723.6		32	11.10	odd	2
968.2.k.i.475.7		32	88.27	odd	10
968.2.k.i.475.8		32	11.5	even	5
968.2.k.i.699.7		32	11.8	odd	10
968.2.k.i.699.8		32	88.19	even	10
3872.2.g.d.1935.9		32	44.35	even	10
3872.2.g.d.1935.10		32	44.31	odd	10
3872.2.g.d.1935.11		32	88.13	odd	10
3872.2.g.d.1935.12		32	88.53	even	10

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:	\( N \)	\(=\)	\( 88 = 2^{3} \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	88.k (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.16173 - 0.806458i) q^{2} +(0.385688 + 1.18702i) q^{3} +(0.699251 + 1.87378i) q^{4} +(-2.03454 + 2.80031i) q^{5} +(0.509219 - 1.69005i) q^{6} +(-0.442181 + 1.36089i) q^{7} +(0.698780 - 2.74075i) q^{8} +(1.16678 - 0.847714i) q^{9} +(4.62193 - 1.61244i) q^{10} +(-1.18696 + 3.09695i) q^{11} +(-1.95453 + 1.55272i) q^{12} +(5.33740 - 3.87785i) q^{13} +(1.61120 - 1.22440i) q^{14} +(-4.10874 - 1.33501i) q^{15} +(-3.02209 + 2.62049i) q^{16} +(0.442479 - 0.609020i) q^{17} +(-2.03913 + 0.0438606i) q^{18} +(-2.61700 + 0.850314i) q^{19} +(-6.66982 - 1.85417i) q^{20} -1.78596 q^{21} +(3.87650 - 2.64060i) q^{22} -4.40738i q^{23} +(3.52285 - 0.227605i) q^{24} +(-2.15728 - 6.63943i) q^{25} +(-9.32795 + 0.200639i) q^{26} +(4.48550 + 3.25891i) q^{27} +(-2.85921 + 0.123057i) q^{28} +(-0.0386973 + 0.119098i) q^{29} +(3.69663 + 4.86445i) q^{30} +(2.25749 + 3.10716i) q^{31} +(5.62418 - 0.607114i) q^{32} +(-4.13396 - 0.214498i) q^{33} +(-1.00519 + 0.350679i) q^{34} +(-2.91129 - 4.00704i) q^{35} +(2.40430 + 1.59352i) q^{36} +(1.91508 + 0.622247i) q^{37} +(3.72600 + 1.12266i) q^{38} +(6.66167 + 4.83999i) q^{39} +(6.25325 + 7.53298i) q^{40} +(2.52037 - 0.818917i) q^{41} +(2.07481 + 1.44030i) q^{42} -4.68327i q^{43} +(-6.63299 - 0.0585579i) q^{44} +4.99205i q^{45} +(-3.55437 + 5.12021i) q^{46} +(4.39059 - 1.42659i) q^{47} +(-4.27617 - 2.57661i) q^{48} +(4.00661 + 2.91097i) q^{49} +(-2.84823 + 9.45301i) q^{50} +(0.893581 + 0.290342i) q^{51} +(10.9984 + 7.28951i) q^{52} +(-3.06496 - 4.21856i) q^{53} +(-2.58279 - 7.40335i) q^{54} +(-6.25750 - 9.62476i) q^{55} +(3.42088 + 2.16287i) q^{56} +(-2.01869 - 2.77849i) q^{57} +(0.141003 - 0.107152i) q^{58} +(1.90440 - 5.86114i) q^{59} +(-0.371527 - 8.63237i) q^{60} +(-2.37790 - 1.72765i) q^{61} +(-0.116802 - 5.43027i) q^{62} +(0.637721 + 1.96270i) q^{63} +(-7.02341 - 3.83036i) q^{64} +22.8360i q^{65} +(4.62958 + 3.58305i) q^{66} -10.7156 q^{67} +(1.45057 + 0.403250i) q^{68} +(5.23168 - 1.69987i) q^{69} +(0.150630 + 7.00295i) q^{70} +(-6.91440 + 9.51686i) q^{71} +(-1.50805 - 3.79021i) q^{72} +(-5.95032 - 1.93338i) q^{73} +(-1.72300 - 2.26731i) q^{74} +(7.04913 - 5.12150i) q^{75} +(-3.42324 - 4.30909i) q^{76} +(-3.68977 - 2.98475i) q^{77} +(-3.83584 - 10.9951i) q^{78} +(-1.32581 + 0.963258i) q^{79} +(-1.18958 - 13.7943i) q^{80} +(-0.801393 + 2.46643i) q^{81} +(-3.58842 - 1.08121i) q^{82} +(7.17988 - 9.88226i) q^{83} +(-1.24883 - 3.34649i) q^{84} +(0.805202 + 2.47816i) q^{85} +(-3.77686 + 5.44071i) q^{86} -0.156297 q^{87} +(7.65855 + 5.41726i) q^{88} +10.6955 q^{89} +(4.02588 - 5.79944i) q^{90} +(2.91724 + 8.97834i) q^{91} +(8.25846 - 3.08187i) q^{92} +(-2.81760 + 3.87809i) q^{93} +(-6.25118 - 1.88351i) q^{94} +(2.94326 - 9.05841i) q^{95} +(2.88984 + 6.44189i) q^{96} +(-9.17200 + 6.66385i) q^{97} +(-2.30704 - 6.61294i) q^{98} +(1.24041 + 4.61966i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 32 q - 5 q^{2} - 2 q^{3} - 5 q^{4} + 15 q^{6} - 5 q^{8} - 10 q^{9} - 18 q^{11} - 18 q^{12} + 8 q^{14} - q^{16} - 10 q^{17} - 20 q^{18} - 30 q^{20} + 17 q^{22} + 5 q^{24} + 6 q^{25} - 4 q^{26} - 32 q^{27}+ \cdots + 122 q^{99}+O(q^{100}) \) 32 * q - 5 * q^2 - 2 * q^3 - 5 * q^4 + 15 * q^6 - 5 * q^8 - 10 * q^9 - 18 * q^11 - 18 * q^12 + 8 * q^14 - q^16 - 10 * q^17 - 20 * q^18 - 30 * q^20 + 17 * q^22 + 5 * q^24 + 6 * q^25 - 4 * q^26 - 32 * q^27 - 30 * q^28 + 30 * q^30 + 32 * q^33 - 14 * q^34 - 10 * q^35 + 16 * q^36 + 28 * q^38 + 30 * q^40 - 10 * q^41 + 64 * q^42 - 38 * q^44 + 40 * q^46 + 26 * q^48 - 18 * q^49 + 5 * q^50 + 60 * q^51 + 40 * q^52 + 76 * q^56 - 80 * q^57 - 56 * q^58 + 28 * q^59 + 34 * q^60 - 80 * q^62 + 55 * q^64 - 30 * q^66 - 28 * q^67 + 60 * q^68 - 44 * q^70 + 45 * q^72 - 10 * q^73 - 100 * q^74 + 4 * q^75 - 80 * q^78 - 76 * q^80 + 28 * q^81 + 13 * q^82 - 50 * q^84 - 39 * q^86 - 69 * q^88 + 20 * q^89 - 30 * q^90 + 78 * q^91 + 6 * q^92 - 30 * q^94 - 110 * q^96 - 52 * q^97 + 122 * q^99

Introduction

L-functions

Modular forms

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Database

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