LMFDB - Embedded newform 552.2.t.b.235.13

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [552,2,Mod(19,552)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

chi = DirichletCharacter(H, H._module([11, 11, 0, 15]))

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

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

chi := DirichletCharacter("552.19");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 552 = 2^{3} \cdot 3 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	552.t (of order $22$, degree $10$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

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

Self dual:	no
Analytic conductor:	$4.40774219157$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$24$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			235.13
Character	$\chi$	$=$	552.235
Dual form			552.2.t.b.451.13

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.0841021 + 1.41171i) q^{2} +(-0.654861 + 0.755750i) q^{3} +(-1.98585 + 0.237456i) q^{4} +(0.465475 - 3.23745i) q^{5} +(-1.12197 - 0.860914i) q^{6} +(1.58197 + 3.46403i) q^{7} +(-0.502233 - 2.78348i) q^{8} +(-0.142315 - 0.989821i) q^{9} +O(q^{10})$	\(q+(0.0841021 + 1.41171i) q^{2} +(-0.654861 + 0.755750i) q^{3} +(-1.98585 + 0.237456i) q^{4} +(0.465475 - 3.23745i) q^{5} +(-1.12197 - 0.860914i) q^{6} +(1.58197 + 3.46403i) q^{7} +(-0.502233 - 2.78348i) q^{8} +(-0.142315 - 0.989821i) q^{9} +(4.60949 + 0.384840i) q^{10} +(-1.61071 - 5.48557i) q^{11} +(1.12100 - 1.65631i) q^{12} +(-4.22482 - 1.92941i) q^{13} +(-4.75716 + 2.52461i) q^{14} +(2.14188 + 2.47186i) q^{15} +(3.88723 - 0.943105i) q^{16} +(-2.56222 - 3.98689i) q^{17} +(1.38537 - 0.284153i) q^{18} +(2.36591 - 3.68143i) q^{19} +(-0.155614 + 6.53963i) q^{20} +(-3.65391 - 1.07288i) q^{21} +(7.60857 - 2.73520i) q^{22} +(4.79582 - 0.00830260i) q^{23} +(2.43251 + 1.44323i) q^{24} +(-5.46695 - 1.60524i) q^{25} +(2.36845 - 6.12649i) q^{26} +(0.841254 + 0.540641i) q^{27} +(-3.96411 - 6.50340i) q^{28} +(4.01088 + 6.24104i) q^{29} +(-3.30942 + 3.23160i) q^{30} +(-2.54470 + 2.20499i) q^{31} +(1.65832 + 5.40833i) q^{32} +(5.20050 + 2.37499i) q^{33} +(5.41284 - 3.95241i) q^{34} +(11.9510 - 3.50913i) q^{35} +(0.517655 + 1.93185i) q^{36} +(-0.592506 - 4.12097i) q^{37} +(5.39610 + 3.03037i) q^{38} +(4.22482 - 1.92941i) q^{39} +(-9.24516 + 0.330315i) q^{40} +(0.740412 - 5.14968i) q^{41} +(1.20730 - 5.24849i) q^{42} +(1.78902 + 1.55020i) q^{43} +(4.50121 + 10.5111i) q^{44} -3.27074 q^{45} +(0.415060 + 6.76962i) q^{46} -9.10137i q^{47} +(-1.83284 + 3.55537i) q^{48} +(-4.91284 + 5.66972i) q^{49} +(1.80635 - 7.85276i) q^{50} +(4.69098 + 0.674461i) q^{51} +(8.84802 + 2.82832i) q^{52} +(-1.22204 - 2.67589i) q^{53} +(-0.692477 + 1.23308i) q^{54} +(-18.5090 + 2.66119i) q^{55} +(8.84753 - 6.14313i) q^{56} +(1.23290 + 4.19886i) q^{57} +(-8.47322 + 6.18708i) q^{58} +(-5.63778 + 12.3450i) q^{59} +(-4.84042 - 4.40015i) q^{60} +(1.22773 + 1.41687i) q^{61} +(-3.32683 - 3.40693i) q^{62} +(3.20363 - 2.05885i) q^{63} +(-7.49552 + 2.79591i) q^{64} +(-8.21292 + 12.7795i) q^{65} +(-2.91543 + 7.54135i) q^{66} +(3.01643 - 10.2730i) q^{67} +(6.03490 + 7.30896i) q^{68} +(-3.13432 + 3.62988i) q^{69} +(5.95897 + 16.5762i) q^{70} +(-0.936639 + 3.18990i) q^{71} +(-2.68367 + 0.893252i) q^{72} +(-3.15682 - 2.02876i) q^{73} +(5.76779 - 1.18303i) q^{74} +(4.79325 - 3.08044i) q^{75} +(-3.82418 + 7.87259i) q^{76} +(16.4541 - 14.2575i) q^{77} +(3.07908 + 5.80195i) q^{78} +(1.47884 - 3.23822i) q^{79} +(-1.24385 - 13.0237i) q^{80} +(-0.959493 + 0.281733i) q^{81} +(7.33212 + 0.612148i) q^{82} +(-1.76478 + 0.253736i) q^{83} +(7.51089 + 1.26295i) q^{84} +(-14.1000 + 6.43925i) q^{85} +(-2.03797 + 2.65595i) q^{86} +(-7.34323 - 1.05580i) q^{87} +(-14.4600 + 7.23841i) q^{88} +(1.02873 + 0.891401i) q^{89} +(-0.275076 - 4.61734i) q^{90} -17.6872i q^{91} +(-9.52183 + 1.15528i) q^{92} -3.36712i q^{93} +(12.8485 - 0.765445i) q^{94} +(-10.8172 - 9.37314i) q^{95} +(-5.17331 - 2.28843i) q^{96} +(10.1421 + 1.45822i) q^{97} +(-8.41718 - 6.45867i) q^{98} +(-5.20050 + 2.37499i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q + 4 q^{2} - 24 q^{3} - 4 q^{4} - 7 q^{6} + 4 q^{8} - 24 q^{9}+O(q^{10}) $ 240 * q + 4 * q^2 - 24 * q^3 - 4 * q^4 - 7 * q^6 + 4 * q^8 - 24 * q^9	$ 240 q + 4 q^{2} - 24 q^{3} - 4 q^{4} - 7 q^{6} + 4 q^{8} - 24 q^{9} - 4 q^{12} - 4 q^{16} - 44 q^{17} + 4 q^{18} + 55 q^{20} + 4 q^{24} - 24 q^{25} - 24 q^{27} + 4 q^{32} - 55 q^{34} + 7 q^{36} + 22 q^{38} + 11 q^{40} - 44 q^{42} + 77 q^{44} - 48 q^{46} + 51 q^{48} + 8 q^{49} - 33 q^{50} + 165 q^{52} - 7 q^{54} - 22 q^{56} - 59 q^{58} + 11 q^{60} + 29 q^{62} - 4 q^{64} + 55 q^{66} + 132 q^{70} + 4 q^{72} - 144 q^{73} - 66 q^{74} - 24 q^{75} - 55 q^{76} - 24 q^{81} - 26 q^{82} - 44 q^{84} - 110 q^{86} - 198 q^{88} - 47 q^{92} - 73 q^{94} + 4 q^{96} + 53 q^{98}+O(q^{100}) $ 240 * q + 4 * q^2 - 24 * q^3 - 4 * q^4 - 7 * q^6 + 4 * q^8 - 24 * q^9 - 4 * q^12 - 4 * q^16 - 44 * q^17 + 4 * q^18 + 55 * q^20 + 4 * q^24 - 24 * q^25 - 24 * q^27 + 4 * q^32 - 55 * q^34 + 7 * q^36 + 22 * q^38 + 11 * q^40 - 44 * q^42 + 77 * q^44 - 48 * q^46 + 51 * q^48 + 8 * q^49 - 33 * q^50 + 165 * q^52 - 7 * q^54 - 22 * q^56 - 59 * q^58 + 11 * q^60 + 29 * q^62 - 4 * q^64 + 55 * q^66 + 132 * q^70 + 4 * q^72 - 144 * q^73 - 66 * q^74 - 24 * q^75 - 55 * q^76 - 24 * q^81 - 26 * q^82 - 44 * q^84 - 110 * q^86 - 198 * q^88 - 47 * q^92 - 73 * q^94 + 4 * q^96 + 53 * q^98

Display 100 coefficients 10 coefficients

Character values

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

$n$	$97$	$185$	$277$	$415$
$\chi(n)$	$e\left(\frac{1}{22}\right)$	$1$	$-1$	$-1$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	0.0841021	+	1.41171i	0.0594692	+	0.998230i
$2$	0.0841021	+	1.41171i	0.0594692	+	0.998230i
$3$	−0.654861	+	0.755750i	−0.378084	+	0.436332i
$3$	−0.654861	+	0.755750i	−0.378084	+	0.436332i
$4$	−1.98585	+	0.237456i	−0.992927	+	0.118728i
$5$	0.465475	−	3.23745i	0.208167	−	1.44783i	−0.570966	−	0.820973i	$-0.693431\pi$
$5$	0.465475	−	3.23745i	0.208167	−	1.44783i	0.779133	−	0.626858i	$-0.215660\pi$
$6$	−1.12197	−	0.860914i	−0.458044	−	0.351467i
$7$	1.58197	+	3.46403i	0.597928	+	1.30928i	0.930531	+	0.366212i	$0.119346\pi$
$7$	1.58197	+	3.46403i	0.597928	+	1.30928i	−0.332603	+	0.943067i	$0.607927\pi$
$8$	−0.502233	−	2.78348i	−0.177566	−	0.984109i
$9$	−0.142315	−	0.989821i	−0.0474383	−	0.329940i
$10$	4.60949	+	0.384840i	1.45765	+	0.121697i
$11$	−1.61071	−	5.48557i	−0.485647	−	1.65396i	−0.729373	−	0.684116i	$-0.760188\pi$
$11$	−1.61071	−	5.48557i	−0.485647	−	1.65396i	0.243726	−	0.969844i	$-0.421630\pi$
$12$	1.12100	−	1.65631i	0.323605	−	0.478135i
$13$	−4.22482	−	1.92941i	−1.17175	−	0.535122i	−0.268102	−	0.963390i	$-0.586396\pi$
$13$	−4.22482	−	1.92941i	−1.17175	−	0.535122i	−0.903652	+	0.428268i	$0.859124\pi$
$14$	−4.75716	+	2.52461i	−1.27140	+	0.674731i
$15$	2.14188	+	2.47186i	0.553031	+	0.638232i
$16$	3.88723	−	0.943105i	0.971807	−	0.235776i
$17$	−2.56222	−	3.98689i	−0.621429	−	0.966962i	−0.999157	−	0.0410456i	$-0.986931\pi$
$17$	−2.56222	−	3.98689i	−0.621429	−	0.966962i	0.377729	−	0.925916i	$-0.376705\pi$
$18$	1.38537	−	0.284153i	0.326535	−	0.0669756i
$19$	2.36591	−	3.68143i	0.542778	−	0.844579i	−0.456196	−	0.889880i	$-0.650788\pi$
$19$	2.36591	−	3.68143i	0.542778	−	0.844579i	0.998973	+	0.0453008i	$0.0144246\pi$
$20$	−0.155614	+	6.53963i	−0.0347964	+	1.46231i
$21$	−3.65391	−	1.07288i	−0.797348	−	0.234122i
$22$	7.60857	−	2.73520i	1.62215	−	0.583147i
$23$	4.79582	−	0.00830260i	0.999999	−	0.00173121i
$23$	4.79582	−	0.00830260i	0.999999	−	0.00173121i
$24$	2.43251	+	1.44323i	0.496533	+	0.294598i
$25$	−5.46695	−	1.60524i	−1.09339	−	0.321048i
$26$	2.36845	−	6.12649i	0.464492	−	1.20150i
$27$	0.841254	+	0.540641i	0.161899	+	0.104046i
$28$	−3.96411	−	6.50340i	−0.749147	−	1.22903i
$29$	4.01088	+	6.24104i	0.744801	+	1.15893i	0.982258	+	0.187535i	$0.0600497\pi$
$29$	4.01088	+	6.24104i	0.744801	+	1.15893i	−0.237457	+	0.971398i	$0.576314\pi$
$30$	−3.30942	+	3.23160i	−0.604214	+	0.590007i
$31$	−2.54470	+	2.20499i	−0.457041	+	0.396028i	−0.852726	−	0.522358i	$-0.825053\pi$
$31$	−2.54470	+	2.20499i	−0.457041	+	0.396028i	0.395685	+	0.918386i	$0.370507\pi$
$32$	1.65832	+	5.40833i	0.293152	+	0.956066i
$33$	5.20050	+	2.37499i	0.905291	+	0.413433i
$34$	5.41284	−	3.95241i	0.928295	−	0.677833i
$35$	11.9510	−	3.50913i	2.02008	−	0.593150i
$36$	0.517655	+	1.93185i	0.0862759	+	0.321975i
$37$	−0.592506	−	4.12097i	−0.0974074	−	0.677484i	−0.978758	−	0.205020i	$-0.934274\pi$
$37$	−0.592506	−	4.12097i	−0.0974074	−	0.677484i	0.881350	−	0.472463i	$-0.156635\pi$
$38$	5.39610	+	3.03037i	0.875363	+	0.491591i
$39$	4.22482	−	1.92941i	0.676512	−	0.308953i
$40$	−9.24516	+	0.330315i	−1.46179	+	0.0522274i
$41$	0.740412	−	5.14968i	0.115633	−	0.804245i	−0.846641	−	0.532164i	$-0.821379\pi$
$41$	0.740412	−	5.14968i	0.115633	−	0.804245i	0.962274	−	0.272081i	$-0.0877118\pi$
$42$	1.20730	−	5.24849i	0.186290	−	0.809860i
$43$	1.78902	+	1.55020i	0.272823	+	0.236403i	0.780516	−	0.625135i	$-0.214956\pi$
$43$	1.78902	+	1.55020i	0.272823	+	0.236403i	−0.507693	+	0.861538i	$0.669502\pi$
$44$	4.50121	+	10.5111i	0.678583	+	1.58460i
$45$	−3.27074			−0.487573
$46$	0.415060	+	6.76962i	0.0611973	+	0.998126i
$47$		−	9.10137i		−	1.32757i	−0.747923	−	0.663786i	$-0.768949\pi$
$47$		−	9.10137i		−	1.32757i	0.747923	−	0.663786i	$-0.231051\pi$
$48$	−1.83284	+	3.55537i	−0.264548	+	0.513174i
$49$	−4.91284	+	5.66972i	−0.701834	+	0.809959i
$50$	1.80635	−	7.85276i	0.255457	−	1.11055i
$51$	4.69098	+	0.674461i	0.656869	+	0.0944435i
$52$	8.84802	+	2.82832i	1.22700	+	0.392217i
$53$	−1.22204	−	2.67589i	−0.167860	−	0.367562i	0.806943	−	0.590629i	$-0.201120\pi$
$53$	−1.22204	−	2.67589i	−0.167860	−	0.367562i	−0.974803	+	0.223067i	$0.928393\pi$
$54$	−0.692477	+	1.23308i	−0.0942342	+	0.167800i
$55$	−18.5090	+	2.66119i	−2.49575	+	0.358835i
$56$	8.84753	−	6.14313i	1.18230	−	0.820910i
$57$	1.23290	+	4.19886i	0.163301	+	0.556153i
$58$	−8.47322	+	6.18708i	−1.11259	+	0.812403i
$59$	−5.63778	+	12.3450i	−0.733976	+	1.60718i	0.0592404	+	0.998244i	$0.481132\pi$
$59$	−5.63778	+	12.3450i	−0.733976	+	1.60718i	−0.793217	+	0.608940i	$0.791595\pi$
$60$	−4.84042	−	4.40015i	−0.624895	−	0.568057i
$61$	1.22773	+	1.41687i	0.157194	+	0.181412i	0.828884	−	0.559421i	$-0.188976\pi$
$61$	1.22773	+	1.41687i	0.157194	+	0.181412i	−0.671689	+	0.740833i	$0.734431\pi$
$62$	−3.32683	−	3.40693i	−0.422507	−	0.432681i
$63$	3.20363	−	2.05885i	0.403620	−	0.259391i
$64$	−7.49552	+	2.79591i	−0.936940	+	0.349489i
$65$	−8.21292	+	12.7795i	−1.01869	+	1.58511i
$66$	−2.91543	+	7.54135i	−0.358864	+	0.928276i
$67$	3.01643	−	10.2730i	0.368515	−	1.25505i	−0.541580	−	0.840649i	$-0.682174\pi$
$67$	3.01643	−	10.2730i	0.368515	−	1.25505i	0.910095	−	0.414399i	$-0.136008\pi$
$68$	6.03490	+	7.30896i	0.731839	+	0.886342i
$69$	−3.13432	+	3.62988i	−0.377328	+	0.436986i
$70$	5.95897	+	16.5762i	0.712233	+	1.98124i
$71$	−0.936639	+	3.18990i	−0.111159	+	0.378571i	−0.996216	−	0.0869103i	$-0.972301\pi$
$71$	−0.936639	+	3.18990i	−0.111159	+	0.378571i	0.885058	+	0.465482i	$0.154119\pi$
$72$	−2.68367	+	0.893252i	−0.316274	+	0.105271i
$73$	−3.15682	−	2.02876i	−0.369478	−	0.237449i	0.342705	−	0.939443i	$-0.388657\pi$
$73$	−3.15682	−	2.02876i	−0.369478	−	0.237449i	−0.712183	+	0.701994i	$0.752293\pi$
$74$	5.76779	−	1.18303i	0.670492	−	0.137524i
$75$	4.79325	−	3.08044i	0.553477	−	0.355698i
$76$	−3.82418	+	7.87259i	−0.438664	+	0.903048i
$77$	16.4541	−	14.2575i	1.87511	−	1.62480i
$78$	3.07908	+	5.80195i	0.348638	+	0.656942i
$79$	1.47884	−	3.23822i	0.166383	−	0.364328i	−0.808014	−	0.589164i	$-0.799457\pi$
$79$	1.47884	−	3.23822i	0.166383	−	0.364328i	0.974397	+	0.224836i	$0.0721846\pi$
$80$	−1.24385	−	13.0237i	−0.139066	−	1.45609i
$81$	−0.959493	+	0.281733i	−0.106610	+	0.0313036i
$82$	7.33212	+	0.612148i	0.809698	+	0.0676005i
$83$	−1.76478	+	0.253736i	−0.193709	+	0.0278512i	−0.238487	−	0.971146i	$-0.576651\pi$
$83$	−1.76478	+	0.253736i	−0.193709	+	0.0278512i	0.0447773	+	0.998997i	$0.485742\pi$
$84$	7.51089	+	1.26295i	0.819505	+	0.137799i
$85$	−14.1000	+	6.43925i	−1.52936	+	0.698435i
$86$	−2.03797	+	2.65595i	−0.219760	+	0.286399i
$87$	−7.34323	−	1.05580i	−0.787277	−	0.113193i
$88$	−14.4600	+	7.23841i	−1.54144	+	0.771617i
$89$	1.02873	+	0.891401i	0.109045	+	0.0944884i	0.707677	−	0.706536i	$-0.249743\pi$
$89$	1.02873	+	0.891401i	0.109045	+	0.0944884i	−0.598632	+	0.801024i	$0.704289\pi$
$90$	−0.275076	−	4.61734i	−0.0289956	−	0.486710i
$91$		−	17.6872i		−	1.85412i
$92$	−9.52183	+	1.15528i	−0.992720	+	0.120447i
$93$		−	3.36712i		−	0.349154i
$94$	12.8485	−	0.765445i	1.32522	−	0.0789496i
$95$	−10.8172	−	9.37314i	−1.10982	−	0.961664i
$96$	−5.17331	−	2.28843i	−0.527998	−	0.233562i
$97$	10.1421	+	1.45822i	1.02978	+	0.148059i	0.636433	−	0.771332i	$-0.280409\pi$
$97$	10.1421	+	1.45822i	1.02978	+	0.148059i	0.393343	+	0.919392i	$0.371318\pi$
$98$	−8.41718	−	6.45867i	−0.850263	−	0.652424i
$99$	−5.20050	+	2.37499i	−0.522670	+	0.238696i
$100$	11.2377	+	1.88962i	1.12377	+	0.188962i
$101$	−16.0728	+	2.31092i	−1.59930	+	0.229945i	−0.883525	−	0.468384i	$-0.844836\pi$
$101$	−16.0728	+	2.31092i	−1.59930	+	0.229945i	−0.715777	+	0.698329i	$0.753927\pi$
$102$	−0.557623	+	6.67903i	−0.0552129	+	0.661323i
$103$	−5.09570	+	1.49623i	−0.502094	+	0.147428i	−0.522965	−	0.852354i	$-0.675174\pi$
$103$	−5.09570	+	1.49623i	−0.502094	+	0.147428i	0.0208711	+	0.999782i	$0.493356\pi$
$104$	−3.24863	+	12.7287i	−0.318554	+	1.24815i
$105$	−5.17421	+	11.3299i	−0.504951	+	1.10569i
$106$	3.67481	−	1.95021i	0.356929	−	0.189422i
$107$	10.3271	−	8.94846i	0.998355	−	0.865080i	0.00749505	−	0.999972i	$-0.497614\pi$
$107$	10.3271	−	8.94846i	0.998355	−	0.865080i	0.990860	+	0.134892i	$0.0430688\pi$
$108$	−1.79898	−	0.873873i	−0.173107	−	0.0840885i
$109$	−1.46040	+	0.938544i	−0.139881	+	0.0898962i	−0.608710	−	0.793393i	$-0.708313\pi$
$109$	−1.46040	+	0.938544i	−0.139881	+	0.0898962i	0.468828	+	0.883289i	$0.344676\pi$
$110$	−5.31348	−	25.9055i	−0.506620	−	2.47000i
$111$	3.50243	+	2.25088i	0.332436	+	0.213644i
$112$	9.41641	+	11.9735i	0.889768	+	1.13139i
$113$	2.53071	−	8.61879i	0.238069	−	0.810788i	−0.750611	−	0.660745i	$-0.770241\pi$
$113$	2.53071	−	8.61879i	0.238069	−	0.810788i	0.988679	−	0.150043i	$-0.0479412\pi$
$114$	−5.82389	+	2.09363i	−0.545457	+	0.196086i
$115$	2.20546	−	15.5301i	0.205660	−	1.44819i
$116$	−9.44698	−	11.4414i	−0.877130	−	1.06231i
$117$	−1.30852	+	4.45640i	−0.120972	+	0.411994i
$118$	−17.9017	−	6.92067i	−1.64799	−	0.637099i
$119$	9.75734	−	15.1827i	0.894454	−	1.39180i
$120$	5.80465	−	7.20333i	0.529890	−	0.657571i
$121$	−18.2433	+	11.7242i	−1.65848	+	1.06584i
$122$	−1.89696	+	1.85236i	−0.171743	+	0.167705i
$123$	3.40700	+	3.93189i	0.307199	+	0.354526i
$124$	4.52981	−	4.98305i	0.406789	−	0.447491i
$125$	−0.948046	+	2.07593i	−0.0847958	+	0.185677i
$126$	3.17593	+	4.34945i	0.282934	+	0.387479i
$127$	0.947126	+	3.22561i	0.0840438	+	0.286227i	0.990782	−	0.135468i	$-0.0432536\pi$
$127$	0.947126	+	3.22561i	0.0840438	+	0.286227i	−0.906738	+	0.421695i	$0.861435\pi$
$128$	−4.57741	−	10.3464i	−0.404590	−	0.914498i
$129$	−2.34312	+	0.336890i	−0.206300	+	0.0296615i
$130$	−18.7317	−	10.5195i	−1.64288	−	0.922619i
$131$	0.881061	+	1.92926i	0.0769787	+	0.168560i	0.944209	−	0.329348i	$-0.106829\pi$
$131$	0.881061	+	1.92926i	0.0769787	+	0.168560i	−0.867230	+	0.497908i	$0.834102\pi$
$132$	−10.8914	−	3.48149i	−0.947974	−	0.303025i
$133$	16.4954	+	2.37168i	1.43033	+	0.205651i
$134$	14.7562	+	3.39434i	1.27474	+	0.293227i
$135$	2.14188	−	2.47186i	0.184344	−	0.212744i
$136$	−9.81059	+	9.13423i	−0.841251	+	0.783253i
$137$		−	10.3625i		−	0.885327i	−0.896688	−	0.442664i	$-0.854034\pi$
$137$		−	10.3625i		−	0.885327i	0.896688	−	0.442664i	$-0.145966\pi$
$138$	−5.38794	−	4.11948i	−0.458652	−	0.350673i
$139$	−15.4576			−1.31109			−0.655547	−	0.755154i	$-0.727562\pi$
$139$	−15.4576			−1.31109			−0.655547	+	0.755154i	$0.727562\pi$
$140$	−22.8996	+	9.80644i	−1.93537	+	0.828795i
$141$	6.87836	+	5.96013i	0.579262	+	0.501934i
$142$	−4.58199	−	1.05399i	−0.384512	−	0.0884485i
$143$	−3.77896	+	26.2832i	−0.316012	+	2.19791i
$144$	−1.48672	−	3.71345i	−0.123893	−	0.309454i
$145$	22.0720	−	10.0800i	1.83298	−	0.837095i
$146$	2.59853	−	4.62714i	0.215056	−	0.382945i
$147$	−1.06766	−	7.42575i	−0.0880592	−	0.612465i
$148$	2.15518	+	8.04295i	0.177155	+	0.661127i
$149$	0.208922	−	0.0613449i	0.0171155	−	0.00502557i	−0.273164	−	0.961968i	$-0.588070\pi$
$149$	0.208922	−	0.0613449i	0.0171155	−	0.00502557i	0.290279	+	0.956942i	$0.406252\pi$
$150$	4.75181	+	6.50762i	0.387984	+	0.531345i
$151$	9.20667	+	4.20455i	0.749228	+	0.342161i	0.753165	−	0.657831i	$-0.228526\pi$
$151$	9.20667	+	4.20455i	0.749228	+	0.342161i	−0.00393705	+	0.999992i	$0.501253\pi$
$152$	−11.4354	−	4.73653i	−0.927536	−	0.384184i
$153$	−3.58166	+	3.10353i	−0.289560	+	0.250906i
$154$	21.5113	+	22.0293i	1.73343	+	1.77517i
$155$	5.95406	+	9.26470i	0.478242	+	0.744159i
$156$	−7.93172	+	4.83473i	−0.635046	+	0.387088i
$157$	2.85734	+	1.83630i	0.228040	+	0.146553i	0.649672	−	0.760214i	$-0.274906\pi$
$157$	2.85734	+	1.83630i	0.228040	+	0.146553i	−0.421632	+	0.906767i	$0.638543\pi$
$158$	4.69580	+	1.81536i	0.373578	+	0.144422i
$159$	2.82257	+	0.828781i	0.223844	+	0.0657266i
$160$	18.2811	−	2.85127i	1.44525	−	0.225413i
$161$	7.61560	+	16.5997i	0.600194	+	1.30824i
$162$	−0.478420	−	1.33083i	−0.0375882	−	0.104560i
$163$	17.0835	+	5.01618i	1.33809	+	0.392898i	0.870987	−	0.491307i	$-0.163481\pi$
$163$	17.0835	+	5.01618i	1.33809	+	0.392898i	0.467100	+	0.884204i	$0.345299\pi$
$164$	−0.247529	+	10.4023i	−0.0193288	+	0.812285i
$165$	10.1096	−	15.7309i	0.787033	−	1.22465i
$166$	−0.506624	−	2.47001i	−0.0393216	−	0.191710i
$167$	12.3189	+	19.1685i	0.953262	+	1.48330i	0.873694	+	0.486475i	$0.161718\pi$
$167$	12.3189	+	19.1685i	0.953262	+	1.48330i	0.0795676	+	0.996829i	$0.474646\pi$
$168$	−1.15124	+	10.7094i	−0.0888198	+	0.826249i
$169$	5.61328	+	6.47807i	0.431791	+	0.498313i
$170$	−10.2762	−	19.3636i	−0.788149	−	1.48512i
$171$	−3.98067	−	1.81791i	−0.304409	−	0.139019i
$172$	−3.92084	−	2.65365i	−0.298961	−	0.202339i
$173$	−4.92797	−	16.7831i	−0.374666	−	1.27600i	−0.903982	−	0.427571i	$-0.859369\pi$
$173$	−4.92797	−	16.7831i	−0.374666	−	1.27600i	0.529315	−	0.848425i	$-0.322449\pi$
$174$	0.872899	−	10.4553i	0.0661743	−	0.792615i
$175$	−3.08794	−	21.4771i	−0.233427	−	1.62352i
$176$	−11.4347	−	19.8046i	−0.861919	−	1.49283i
$177$	−5.63778	−	12.3450i	−0.423761	−	0.927908i
$178$	−1.17188	+	1.52724i	−0.0878363	+	0.114472i
$179$	−1.91133	+	13.2936i	−0.142860	+	0.993612i	0.784684	+	0.619897i	$0.212825\pi$
$179$	−1.91133	+	13.2936i	−0.142860	+	0.993612i	−0.927543	+	0.373716i	$0.878084\pi$
$180$	6.49521	−	0.776657i	0.484125	−	0.0578886i
$181$	−10.4954	+	12.1123i	−0.780116	+	0.900302i	−0.997118	−	0.0758691i	$-0.975827\pi$
$181$	−10.4954	+	12.1123i	−0.780116	+	0.900302i	0.217002	+	0.976171i	$0.430372\pi$
$182$	24.9691	−	1.48753i	1.85084	−	0.110263i
$183$	−1.87479			−0.138589
$184$	−2.43173	−	13.3449i	−0.179270	−	0.983800i
$185$	−13.6172			−1.00116
$186$	4.75339	−	0.283182i	0.348536	−	0.0207639i
$187$	−17.7433	+	20.4769i	−1.29752	+	1.49742i
$188$	2.16117	+	18.0740i	0.157620	+	1.31818i
$189$	−0.541958	+	3.76940i	−0.0394217	+	0.274184i
$190$	12.3224	−	16.0590i	0.893962	−	1.16504i
$191$	3.94430	+	8.63680i	0.285399	+	0.624937i	0.996979	−	0.0776679i	$-0.0247474\pi$
$191$	3.94430	+	8.63680i	0.285399	+	0.624937i	−0.711580	+	0.702605i	$0.752020\pi$
$192$	2.79551	−	7.49567i	0.201749	−	0.540954i
$193$	0.847899	+	5.89727i	0.0610331	+	0.424494i	0.997314	+	0.0732427i	$0.0233348\pi$
$193$	0.847899	+	5.89727i	0.0610331	+	0.424494i	−0.936281	+	0.351252i	$0.885756\pi$
$194$	−1.20561	+	14.4404i	−0.0865575	+	1.03676i
$195$	−4.27982	−	14.5757i	−0.306484	−	1.04379i
$196$	8.40987	−	12.4258i	0.600705	−	0.887558i
$197$	−11.8218	−	5.39884i	−0.842269	−	0.384651i	−0.0529220	−	0.998599i	$-0.516853\pi$
$197$	−11.8218	−	5.39884i	−0.842269	−	0.384651i	−0.789347	+	0.613947i	$0.789581\pi$
$198$	−3.79017	−	7.14186i	−0.269356	−	0.507550i
$199$	11.3121	+	13.0548i	0.801893	+	0.925434i	0.998483	−	0.0550520i	$-0.0175325\pi$
$199$	11.3121	+	13.0548i	0.801893	+	0.925434i	−0.196591	+	0.980486i	$0.562987\pi$
$200$	−1.72247	+	16.0234i	−0.121797	+	1.13302i
$201$	5.78848	+	9.00706i	0.408288	+	0.635309i
$202$	−4.61410	−	22.4958i	−0.324647	−	1.58280i
$203$	−15.2741	+	23.7669i	−1.07203	+	1.66811i
$204$	−9.47576	−	0.225481i	−0.663436	−	0.0157868i
$205$	−16.3272	−	4.79409i	−1.14034	−	0.334834i
$206$	−2.54081	−	7.06782i	−0.177026	−	0.492438i
$207$	−0.690735	−	4.74583i	−0.0480094	−	0.329858i
$208$	−18.2425	−	3.51561i	−1.26489	−	0.243764i
$209$	−24.0055	−	7.04866i	−1.66050	−	0.487566i
$210$	−16.4298	−	6.35161i	−1.13376	−	0.438303i
$211$	5.72322	+	3.67809i	0.394003	+	0.253210i	0.722609	−	0.691257i	$-0.242943\pi$
$211$	5.72322	+	3.67809i	0.394003	+	0.253210i	−0.328607	+	0.944467i	$0.606579\pi$
$212$	3.06220	+	5.02375i	0.210313	+	0.345033i
$213$	−1.79740	−	2.79680i	−0.123156	−	0.191634i
$214$	13.5012	+	13.8262i	0.922920	+	0.945143i
$215$	5.85143	−	5.07029i	0.399064	−	0.345791i
$216$	1.08236	−	2.61314i	0.0736451	−	0.177802i
$217$	−11.6638	−	5.32667i	−0.791789	−	0.361598i
$218$	−1.44778	−	1.98273i	−0.0980557	−	0.134288i
$219$	3.60052	−	1.05721i	0.243300	−	0.0714394i
$220$	36.1242	−	9.67980i	2.43550	−	0.652612i
$221$	3.13256	+	21.7874i	0.210719	+	1.46558i
$222$	−2.88302	+	5.13372i	−0.193496	+	0.344553i
$223$	6.20780	−	2.83501i	0.415705	−	0.189846i	−0.196572	−	0.980489i	$-0.562981\pi$
$223$	6.20780	−	2.83501i	0.415705	−	0.189846i	0.612277	+	0.790643i	$0.290254\pi$
$224$	−16.1112	+	14.3003i	−1.07647	+	0.955476i
$225$	−0.810875	+	5.63976i	−0.0540583	+	0.375984i
$226$	12.3801	+	2.84776i	0.823510	+	0.189430i
$227$	8.61587	+	7.46570i	0.571856	+	0.495516i	0.892111	−	0.451815i	$-0.149223\pi$
$227$	8.61587	+	7.46570i	0.571856	+	0.495516i	−0.320256	+	0.947331i	$0.603769\pi$
$228$	−3.44540	−	8.04557i	−0.228177	−	0.532831i
$229$	−6.72176			−0.444187			−0.222093	−	0.975025i	$-0.571289\pi$
$229$	−6.72176			−0.444187			−0.222093	+	0.975025i	$0.571289\pi$
$230$	22.1095	+	1.80735i	1.45786	+	0.119173i
$231$			21.7718i			1.43248i
$232$	15.3574	−	14.2987i	1.00826	−	0.938752i
$233$	15.2263	−	17.5721i	0.997509	−	1.15119i	0.00901055	−	0.999959i	$-0.497132\pi$
$233$	15.2263	−	17.5721i	0.997509	−	1.15119i	0.988499	−	0.151228i	$-0.0483227\pi$
$234$	−6.40120	−	1.47245i	−0.418459	−	0.0962574i
$235$	−29.4652	−	4.23646i	−1.92210	−	0.276356i
$236$	8.26441	−	25.8541i	0.537967	−	1.68296i
$237$	1.47884	+	3.23822i	0.0960613	+	0.210345i
$238$	22.2542	+	12.4976i	1.44253	+	0.810102i
$239$	−7.76023	+	1.11575i	−0.501967	+	0.0721720i	−0.388647	−	0.921387i	$-0.627058\pi$
$239$	−7.76023	+	1.11575i	−0.501967	+	0.0721720i	−0.113320	+	0.993559i	$0.536148\pi$
$240$	10.6572	+	7.58868i	0.687920	+	0.489847i
$241$	5.67425	+	19.3247i	0.365510	+	1.24481i	0.912985	+	0.407992i	$0.133771\pi$
$241$	5.67425	+	19.3247i	0.365510	+	1.24481i	−0.547475	+	0.836822i	$0.684411\pi$
$242$	−18.0855	−	24.7682i	−1.16258	−	1.59216i
$243$	0.415415	−	0.909632i	0.0266489	−	0.0583529i
$244$	−2.77453	−	2.52217i	−0.177621	−	0.161465i
$245$	16.0686	+	18.5442i	1.02659	+	1.18474i
$246$	−5.26415	+	5.14038i	−0.335630	+	0.327739i
$247$	−17.0985	+	10.9886i	−1.08795	+	0.699186i
$248$	7.41558	+	5.97569i	0.470890	+	0.379457i
$249$	0.963921	−	1.49989i	0.0610860	−	0.0950517i
$250$	−3.01035	−	1.16378i	−0.190391	−	0.0736036i
$251$	5.01195	−	17.0691i	0.316352	−	1.07739i	−0.635822	−	0.771836i	$-0.719339\pi$
$251$	5.01195	−	17.0691i	0.316352	−	1.07739i	0.952173	−	0.305559i	$-0.0988432\pi$
$252$	−5.87306	+	4.84929i	−0.369968	+	0.305477i
$253$	−7.77021	−	26.2944i	−0.488509	−	1.65312i
$254$	−4.47398	+	1.60835i	−0.280722	+	0.100917i
$255$	4.36707	−	14.8729i	0.273477	−	0.931376i
$256$	14.2211	−	7.33213i	0.888819	−	0.458258i
$257$	4.34380	+	2.79159i	0.270959	+	0.174135i	0.669063	−	0.743205i	$-0.266696\pi$
$257$	4.34380	+	2.79159i	0.270959	+	0.174135i	−0.398105	+	0.917340i	$0.630332\pi$
$258$	−0.672652	−	3.27947i	−0.0418775	−	0.204171i
$259$	13.3378	−	8.57171i	0.828773	−	0.532620i
$260$	13.2751	−	27.3285i	0.823285	−	1.69484i
$261$	5.60671	−	4.85824i	0.347047	−	0.300718i
$262$	−2.64945	+	1.40606i	−0.163684	+	0.0868666i
$263$	1.47972	−	3.24014i	0.0912437	−	0.199796i	−0.858508	−	0.512800i	$-0.828608\pi$
$263$	1.47972	−	3.24014i	0.0912437	−	0.199796i	0.949752	+	0.313004i	$0.101335\pi$
$264$	3.99887	−	15.6683i	0.246114	−	0.964317i
$265$	−9.23190	+	2.71073i	−0.567111	+	0.166519i
$266$	−1.96083	+	23.4862i	−0.120226	+	1.44003i
$267$	−1.34735	+	0.193720i	−0.0824566	+	0.0118555i
$268$	−3.55080	+	21.1170i	−0.216900	+	1.28992i
$269$	26.7859	−	12.2327i	1.63316	−	0.745841i	0.633553	−	0.773700i	$-0.281596\pi$
$269$	26.7859	−	12.2327i	1.63316	−	0.745841i	0.999612	+	0.0278584i	$0.00886874\pi$
$270$	3.66969	+	2.81583i	0.223330	+	0.171366i
$271$	0.209209	+	0.0300797i	0.0127085	+	0.00182721i	0.148666	−	0.988887i	$-0.452502\pi$
$271$	0.209209	+	0.0300797i	0.0127085	+	0.00182721i	−0.135958	+	0.990715i	$0.543411\pi$
$272$	−13.7200	−	13.0815i	−0.831896	−	0.793183i
$273$	13.3671	+	11.5826i	0.809011	+	0.701012i
$274$	14.6288	−	0.871508i	0.883760	−	0.0526497i
$275$			32.5749i			1.96434i
$276$	5.36237	−	7.95267i	0.322777	−	0.478695i
$277$			0.163107i			0.00980014i	0.999988	+	0.00490007i	$0.00155975\pi$
$277$			0.163107i			0.00980014i	−0.999988	+	0.00490007i	$0.998440\pi$
$278$	−1.30002	−	21.8216i	−0.0779697	−	1.30877i
$279$	2.54470	+	2.20499i	0.152347	+	0.132009i
$280$	−15.7698	−	31.5029i	−0.942424	−	1.88266i
$281$	−3.67501	−	0.528386i	−0.219233	−	0.0315209i	0.0318232	−	0.999494i	$-0.489869\pi$
$281$	−3.67501	−	0.528386i	−0.219233	−	0.0315209i	−0.251056	+	0.967973i	$0.580778\pi$
$282$	−7.83550	+	10.2115i	−0.466597	+	0.608087i
$283$	14.6472	−	6.68914i	0.870684	−	0.397628i	0.0705918	−	0.997505i	$-0.477511\pi$
$283$	14.6472	−	6.68914i	0.870684	−	0.397628i	0.800092	+	0.599877i	$0.204784\pi$
$284$	1.10257	−	6.55708i	0.0654253	−	0.389091i
$285$	14.1675	−	2.03698i	0.839210	−	0.120660i
$286$	−37.4221	−	3.12432i	−2.21282	−	0.184745i
$287$	19.0099	−	5.58182i	1.12212	−	0.329484i
$288$	5.11727	−	2.41112i	0.301538	−	0.142077i
$289$	−2.26826	+	4.96679i	−0.133427	+	0.292164i
$290$	16.0863	+	30.3116i	0.944619	+	1.77996i
$291$	−7.74372	+	6.70997i	−0.453945	+	0.393346i
$292$	6.75072	+	3.27922i	0.395056	+	0.191902i
$293$	−3.20096	+	2.05713i	−0.187002	+	0.120179i	−0.630792	−	0.775952i	$-0.717270\pi$
$293$	−3.20096	+	2.05713i	−0.187002	+	0.120179i	0.443790	+	0.896131i	$0.353634\pi$
$294$	10.3932	−	2.13175i	0.606145	−	0.124326i
$295$	37.3421	+	23.9983i	2.17414	+	1.39724i
$296$	−11.1731	+	3.71892i	−0.649421	+	0.216158i
$297$	1.61071	−	5.48557i	0.0934627	−	0.318305i
$298$	0.104172	+	0.289778i	0.00603452	+	0.0167864i
$299$	−20.2775	−	9.21803i	−1.17268	−	0.533093i
$300$	−8.78723	+	7.25548i	−0.507331	+	0.418896i
$301$	−2.53975	+	8.64958i	−0.146388	+	0.498553i
$302$	−5.16130	+	13.3508i	−0.297000	+	0.768250i
$303$	8.77896	−	13.6603i	0.504338	−	0.784765i
$304$	5.72487	−	16.5419i	0.328344	−	0.948742i
$305$	5.15853	−	3.31519i	0.295377	−	0.189827i
$306$	−4.68251	−	4.79526i	−0.267681	−	0.274127i
$307$	7.43667	+	8.58237i	0.424433	+	0.489822i	0.927182	−	0.374610i	$-0.122224\pi$
$307$	7.43667	+	8.58237i	0.424433	+	0.489822i	−0.502749	+	0.864432i	$0.667678\pi$
$308$	−29.2898	+	32.2205i	−1.66894	+	1.83593i
$309$	2.20620	−	4.83090i	0.125506	−	0.274820i
$310$	−12.5783	+	9.18459i	−0.714401	+	0.521650i
$311$	−1.80771	−	6.15651i	−0.102506	−	0.349104i	0.892229	−	0.451583i	$-0.149141\pi$
$311$	−1.80771	−	6.15651i	−0.102506	−	0.349104i	−0.994735	+	0.102480i	$0.967322\pi$
$312$	−7.49232	−	10.7907i	−0.424169	−	0.610902i
$313$	−5.42827	+	0.780467i	−0.306824	+	0.0441146i	−0.294007	−	0.955803i	$-0.594989\pi$
$313$	−5.42827	+	0.780467i	−0.306824	+	0.0441146i	−0.0128168	+	0.999918i	$0.504080\pi$
$314$	−2.35202	+	4.18817i	−0.132732	+	0.236352i
$315$	−5.17421	−	11.3299i	−0.291534	−	0.638370i
$316$	−2.16783	+	6.78179i	−0.121950	+	0.381505i
$317$	29.5579	+	4.24978i	1.66014	+	0.238691i	0.907593	−	0.419852i	$-0.137918\pi$
$317$	29.5579	+	4.24978i	1.66014	+	0.238691i	0.752543	+	0.658543i	$0.228827\pi$
$318$	−0.932615	+	4.05435i	−0.0522985	+	0.227357i
$319$	27.7753	−	32.0544i	1.55512	−	1.79470i
$320$	5.56265	+	25.5678i	0.310962	+	1.42928i
$321$			13.6647i			0.762687i
$322$	−22.7935	+	12.1471i	−1.27023	+	0.676931i
$323$	−20.7394			−1.15397
$324$	1.83851	−	0.787317i	0.102140	−	0.0437398i
$325$	19.9997	+	17.3298i	1.10938	+	0.961287i
$326$	−5.64463	+	24.5389i	−0.312627	+	1.35908i
$327$	0.247056	−	1.71831i	0.0136622	−	0.0950230i
$328$	−14.7059	+	0.525419i	−0.811997	+	0.0290114i
$329$	31.5274	−	14.3981i	1.73816	−	0.793792i
$330$	23.0577	+	12.9489i	1.26928	+	0.712811i
$331$	−3.13737	−	21.8209i	−0.172446	−	1.19939i	−0.873697	−	0.486471i	$-0.838284\pi$
$331$	−3.13737	−	21.8209i	−0.172446	−	1.19939i	0.701251	−	0.712915i	$-0.252625\pi$
$332$	3.44433	−	0.922939i	0.189032	−	0.0506529i
$333$	−3.99470	+	1.17295i	−0.218908	+	0.0642773i
$334$	−26.0244	+	19.0028i	−1.42399	+	1.03979i
$335$	−31.8543	−	14.5474i	−1.74039	−	0.794808i
$336$	−15.2154	−	0.724528i	−0.830069	−	0.0395262i
$337$	−0.188935	+	0.163713i	−0.0102919	+	0.00891801i	−0.659992	−	0.751273i	$-0.729440\pi$
$337$	−0.188935	+	0.163713i	−0.0102919	+	0.00891801i	0.649700	+	0.760191i	$0.274895\pi$
$338$	−8.67307	+	8.46914i	−0.471753	+	0.460661i
$339$	4.85639	+	7.55669i	0.263763	+	0.410423i
$340$	26.4715	−	16.1355i	1.43562	−	0.875072i
$341$	16.1944	+	10.4075i	0.876976	+	0.563598i
$342$	2.23158	−	5.77244i	0.120670	−	0.312138i
$343$	−1.83466	−	0.538705i	−0.0990623	−	0.0290873i
$344$	3.41643	−	5.75826i	0.184202	−	0.310465i
$345$	10.2926	+	11.8368i	0.554135	+	0.637274i
$346$	23.2785	−	8.36836i	1.25146	−	0.449886i
$347$	29.6442	+	8.70433i	1.59139	+	0.467273i	0.953133	−	0.302553i	$-0.0978390\pi$
$347$	29.6442	+	8.70433i	1.59139	+	0.467273i	0.638253	+	0.769826i	$0.279657\pi$
$348$	14.8333	+	0.352966i	0.795148	+	0.0189210i
$349$	−10.0862	+	15.6945i	−0.539904	+	0.840107i	−0.998830	−	0.0483674i	$-0.984598\pi$
$349$	−10.0862	+	15.6945i	−0.539904	+	0.840107i	0.458925	+	0.888475i	$0.348235\pi$
$350$	30.0598	−	6.16555i	1.60676	−	0.329563i
$351$	−2.51103	−	3.90723i	−0.134029	−	0.208553i
$352$	26.9967	−	17.8080i	1.43893	−	0.949171i
$353$	6.91565	+	7.98109i	0.368083	+	0.424791i	0.909332	−	0.416072i	$-0.136594\pi$
$353$	6.91565	+	7.98109i	0.368083	+	0.424791i	−0.541249	+	0.840863i	$0.682048\pi$
$354$	16.9534	−	8.99715i	0.901065	−	0.478193i
$355$	9.89115	+	4.51714i	0.524968	+	0.239745i
$356$	−2.25458	−	1.52591i	−0.119492	−	0.0808733i
$357$	5.08463	+	17.3167i	0.269107	+	0.916495i
$358$	−18.9275	−	1.58023i	−1.00035	−	0.0835177i
$359$	2.29231	+	15.9434i	0.120983	+	0.841458i	0.956446	+	0.291910i	$0.0942909\pi$
$359$	2.29231	+	15.9434i	0.120983	+	0.841458i	−0.835462	+	0.549548i	$0.814800\pi$
$360$	1.64268	+	9.10404i	0.0865766	+	0.479825i
$361$	−0.0625195	−	0.136899i	−0.00329050	−	0.00720519i
$362$	−17.9818	−	13.7978i	−0.945102	−	0.725195i
$363$	3.08621	−	21.4651i	0.161984	−	1.12662i
$364$	4.19992	+	35.1241i	0.220135	+	1.84100i
$365$	−8.03745	+	9.27571i	−0.420699	+	0.485513i
$366$	−0.157674	−	2.64666i	−0.00824175	−	0.138343i
$367$	−14.1789			−0.740134			−0.370067	−	0.929005i	$-0.620665\pi$
$367$	−14.1789			−0.740134			−0.370067	+	0.929005i	$0.620665\pi$
$368$	18.6346	−	4.55524i	0.971398	−	0.237458i
$369$	−5.20263			−0.270838
$370$	−1.14524	−	19.2236i	−0.0595381	−	0.999387i
$371$	7.33614	−	8.46635i	0.380873	−	0.439551i
$372$	0.799541	+	6.68660i	0.0414543	+	0.346684i
$373$	0.890899	−	6.19634i	0.0461290	−	0.320834i	−0.953671	−	0.300850i	$-0.902729\pi$
$373$	0.890899	−	6.19634i	0.0461290	−	0.320834i	0.999800	−	0.0199836i	$-0.00636141\pi$
$374$	−30.3997	−	23.3263i	−1.57193	−	1.20618i
$375$	−0.948046	−	2.07593i	−0.0489569	−	0.107201i
$376$	−25.3335	+	4.57101i	−1.30648	+	0.235732i
$377$	−4.90369	−	34.1059i	−0.252553	−	1.75654i
$378$	−5.36688	−	0.448073i	−0.276043	−	0.0230464i
$379$	5.58321	+	19.0147i	0.286790	+	0.976717i	0.969308	+	0.245849i	$0.0790666\pi$
$379$	5.58321	+	19.0147i	0.286790	+	0.976717i	−0.682518	+	0.730869i	$0.739115\pi$
$380$	23.7071	+	16.0451i	1.21615	+	0.823096i
$381$	−3.05799	−	1.39654i	−0.156666	−	0.0715468i
$382$	−11.8609	+	6.29458i	−0.606859	+	0.322059i
$383$	−10.2195	−	11.7939i	−0.522192	−	0.602642i	0.431986	−	0.901880i	$-0.357813\pi$
$383$	−10.2195	−	11.7939i	−0.522192	−	0.602642i	−0.954178	+	0.299238i	$0.903267\pi$
$384$	10.8168	+	3.31605i	0.551994	+	0.169222i
$385$	−38.4991	−	59.9057i	−1.96209	−	3.05308i
$386$	−8.25392	+	1.69296i	−0.420114	+	0.0861694i
$387$	1.27981	−	1.99143i	0.0650565	−	0.101230i
$388$	−20.4870	−	0.487500i	−1.04007	−	0.0247491i
$389$	13.0024	+	3.81783i	0.659245	+	0.193572i	0.594209	−	0.804311i	$-0.297465\pi$
$389$	13.0024	+	3.81783i	0.659245	+	0.193572i	0.0650367	+	0.997883i	$0.479284\pi$
$390$	20.2168	−	7.26772i	1.02372	−	0.368015i
$391$	−12.3210	−	19.0991i	−0.623102	−	0.965885i
$392$	18.2489	+	10.8273i	0.921710	+	0.546859i
$393$	−2.03501	−	0.597532i	−0.102653	−	0.0301415i
$394$	6.62736	−	17.1430i	0.333882	−	0.863653i
$395$	−9.79520	−	6.29499i	−0.492850	−	0.316736i
$396$	9.76348	−	5.95127i	0.490634	−	0.299063i
$397$	0.0671866	+	0.104544i	0.00337200	+	0.00524694i	0.842935	−	0.538015i	$-0.180826\pi$
$397$	0.0671866	+	0.104544i	0.00337200	+	0.00524694i	−0.839563	+	0.543262i	$0.817189\pi$
$398$	−17.4783	+	17.0673i	−0.876108	+	0.855508i
$399$	−12.5946	+	10.9133i	−0.630517	+	0.546346i
$400$	−22.7652	−	1.08403i	−1.13826	−	0.0542017i
$401$	−34.3749	−	15.6985i	−1.71660	−	0.783945i	−0.995876	−	0.0907242i	$-0.971082\pi$
$401$	−34.3749	−	15.6985i	−1.71660	−	0.783945i	−0.720725	−	0.693221i	$-0.756191\pi$
$402$	−12.2285	+	8.92918i	−0.609904	+	0.445347i
$403$	15.0052	−	4.40593i	0.747463	−	0.219475i
$404$	31.3695	−	8.40572i	1.56069	−	0.418200i
$405$	0.465475	+	3.23745i	0.0231296	+	0.160870i
$406$	−34.8366	−	19.5637i	−1.72891	−	0.970931i
$407$	−21.6515	+	9.88791i	−1.07323	+	0.490126i
$408$	−0.478618	−	13.3960i	−0.0236951	−	0.663201i
$409$	5.59951	−	38.9455i	0.276878	−	1.92573i	−0.0909901	−	0.995852i	$-0.529003\pi$
$409$	5.59951	−	38.9455i	0.276878	−	1.92573i	0.367868	−	0.929878i	$-0.380088\pi$
$410$	5.39472	−	23.4525i	0.266426	−	1.15823i
$411$	7.83145	+	6.78599i	0.386297	+	0.334728i
$412$	9.76402	−	4.18130i	0.481039	−	0.205998i
$413$	−51.6822			−2.54312
$414$	6.64164	−	1.37425i	0.326419	−	0.0675408i
$415$			5.83148i			0.286256i
$416$	3.42880	−	26.0488i	0.168111	−	1.27715i
$417$	10.1226	−	11.6821i	0.495704	−	0.572073i
$418$	7.93175	−	34.4817i	0.387955	−	1.68655i
$419$	23.1183	+	3.32390i	1.12940	+	0.162383i	0.681583	−	0.731741i	$-0.261292\pi$
$419$	23.1183	+	3.32390i	1.12940	+	0.162383i	0.447818	+	0.894125i	$0.352201\pi$
$420$	7.58486	−	23.7282i	0.370103	−	1.15782i
$421$	2.61621	+	5.72870i	0.127506	+	0.279200i	0.962609	−	0.270894i	$-0.0873192\pi$
$421$	2.61621	+	5.72870i	0.127506	+	0.279200i	−0.835103	+	0.550094i	$0.814592\pi$
$422$	−4.71106	+	8.38886i	−0.229331	+	0.408363i
$423$	−9.00873	+	1.29526i	−0.438020	+	0.0629777i
$424$	−6.83454	+	4.74544i	−0.331915	+	0.230459i
$425$	7.60760	+	25.9091i	0.369023	+	1.25678i
$426$	3.79711	−	2.77262i	0.183971	−	0.134334i
$427$	−2.96586	+	6.49433i	−0.143528	+	0.314283i
$428$	−18.3832	+	20.2225i	−0.888585	+	0.977494i
$429$	−17.3889	−	20.0678i	−0.839542	−	0.968883i
$430$	7.64990	+	7.83410i	0.368911	+	0.377794i
$431$	9.77400	−	6.28137i	0.470797	−	0.302563i	−0.283645	−	0.958929i	$-0.591544\pi$
$431$	9.77400	−	6.28137i	0.470797	−	0.302563i	0.754442	+	0.656367i	$0.227907\pi$
$432$	3.78003	+	1.30820i	0.181867	+	0.0629410i
$433$	7.78108	−	12.1076i	0.373935	−	0.581854i	−0.602380	−	0.798210i	$-0.705781\pi$
$433$	7.78108	−	12.1076i	0.373935	−	0.581854i	0.976315	+	0.216356i	$0.0694171\pi$
$434$	6.53877	−	16.9139i	0.313871	−	0.811892i
$435$	−6.83618	+	23.2819i	−0.327770	+	1.11628i
$436$	2.67728	−	2.21059i	0.128219	−	0.105868i
$437$	11.3159	−	17.6752i	0.541315	−	0.845517i
$438$	1.79528	+	4.99397i	0.0857818	+	0.238621i
$439$	−8.38615	+	28.5606i	−0.400249	+	1.36312i	0.475227	+	0.879863i	$0.342366\pi$
$439$	−8.38615	+	28.5606i	−0.400249	+	1.36312i	−0.875477	+	0.483260i	$0.839452\pi$
$440$	16.7032	+	50.1829i	0.796294	+	2.39237i
$441$	6.31118	+	4.05595i	0.300532	+	0.193140i
$442$	−30.4941	+	6.25464i	−1.45046	+	0.297503i
$443$	−13.7287	+	8.82290i	−0.652271	+	0.419189i	−0.824495	−	0.565869i	$-0.808541\pi$
$443$	−13.7287	+	8.82290i	−0.652271	+	0.419189i	0.172225	+	0.985058i	$0.444904\pi$
$444$	−7.48980	−	3.63824i	−0.355450	−	0.172663i
$445$	3.36472	−	2.91554i	0.159503	−	0.138210i
$446$	4.52430	+	8.52519i	0.214232	+	0.403679i
$447$	−0.0904532	+	0.198065i	−0.00427829	+	0.00936814i
$448$	−21.5428	−	21.5417i	−1.01780	−	1.01775i
$449$	31.3512	−	9.20553i	1.47955	−	0.434436i	0.560362	−	0.828248i	$-0.310662\pi$
$449$	31.3512	−	9.20553i	1.47955	−	0.434436i	0.919191	+	0.393812i	$0.128844\pi$
$450$	−8.02990	−	0.670405i	−0.378533	−	0.0316032i
$451$	−29.4415	+	4.23305i	−1.38635	+	0.199326i
$452$	−2.97903	+	17.7166i	−0.140122	+	0.833318i
$453$	−9.20667	+	4.20455i	−0.432567	+	0.197547i
$454$	−9.81479	+	12.7910i	−0.460631	+	0.600311i
$455$	−57.2613	−	8.23293i	−2.68445	−	0.385966i
$456$	11.0683	−	5.54056i	0.518318	−	0.259460i
$457$	25.3478	+	21.9640i	1.18572	+	1.02743i	0.998986	+	0.0450232i	$0.0143362\pi$
$457$	25.3478	+	21.9640i	1.18572	+	1.02743i	0.186735	+	0.982410i	$0.440209\pi$
$458$	−0.565315	−	9.48919i	−0.0264154	−	0.443401i
$459$		−	4.73922i		−	0.221208i
$460$	−0.692002	+	31.3642i	−0.0322647	+	1.46236i
$461$		−	7.83287i		−	0.364813i	−0.983223	−	0.182407i	$-0.941611\pi$
$461$		−	7.83287i		−	0.364813i	0.983223	−	0.182407i	$-0.0583887\pi$
$462$	−30.7355	+	1.83106i	−1.42995	+	0.0851886i
$463$	3.05065	+	2.64341i	0.141776	+	0.122849i	0.722862	−	0.690993i	$-0.242826\pi$
$463$	3.05065	+	2.64341i	0.141776	+	0.122849i	−0.581086	+	0.813842i	$0.697372\pi$
$464$	21.4772	+	20.4777i	0.997052	+	0.950653i
$465$	−10.9009	−	1.56731i	−0.505516	−	0.0726822i
$466$	26.0873	+	20.0173i	1.20847	+	0.927284i
$467$	−38.2265	+	17.4575i	−1.76891	+	0.807834i	−0.787396	+	0.616447i	$0.788571\pi$
$467$	−38.2265	+	17.4575i	−1.76891	+	0.807834i	−0.981515	+	0.191387i	$0.938701\pi$
$468$	1.54033	−	9.16047i	0.0712016	−	0.423443i
$469$	40.3579	−	5.80259i	1.86355	−	0.267939i
$470$	3.50257	−	41.9527i	0.161561	−	1.93513i
$471$	−3.25894	+	0.956912i	−0.150164	+	0.0440922i
$472$	37.1936	+	9.49256i	1.71197	+	0.436931i
$473$	5.62211	−	12.3107i	0.258505	−	0.566047i
$474$	−4.44705	+	2.36004i	−0.204260	+	0.108400i
$475$	−18.8439	+	16.3284i	−0.864619	+	0.749196i
$476$	−15.7714	+	32.4676i	−0.722882	+	1.48815i
$477$	−2.47474	+	1.59042i	−0.113311	+	0.0728203i
$478$	−2.22777	−	10.8614i	−0.101896	−	0.496787i
$479$	−12.0100	−	7.71839i	−0.548753	−	0.352662i	0.236701	−	0.971583i	$-0.423934\pi$
$479$	−12.0100	−	7.71839i	−0.548753	−	0.352662i	−0.785454	+	0.618920i	$0.787570\pi$
$480$	−9.81672	+	15.6831i	−0.448070	+	0.715833i
$481$	−5.44781	+	18.5535i	−0.248399	+	0.845969i
$482$	−26.8037	+	9.63565i	−1.22087	+	0.438892i
$483$	−17.5324	−	5.11502i	−0.797752	−	0.232742i
$484$	33.4445	−	27.6146i	1.52020	−	1.25521i
$485$	9.44181	−	32.1558i	0.428730	−	1.46012i
$486$	1.31907	+	0.509944i	0.0598344	+	0.0231315i
$487$	6.36653	−	9.90651i	0.288495	−	0.448907i	−0.666510	−	0.745496i	$-0.732213\pi$
$487$	6.36653	−	9.90651i	0.288495	−	0.448907i	0.955005	+	0.296589i	$0.0958491\pi$
$488$	3.32723	−	4.12895i	0.150617	−	0.186909i
$489$	−14.9783	+	9.62598i	−0.677343	+	0.435302i
$490$	−24.8276	+	24.2438i	−1.12160	+	1.09523i
$491$	22.3445	+	25.7869i	1.00839	+	1.16375i	0.986462	+	0.163987i	$0.0524356\pi$
$491$	22.3445	+	25.7869i	1.00839	+	1.16375i	0.0219300	+	0.999760i	$0.493019\pi$
$492$	−7.69945	−	6.99914i	−0.347118	−	0.315546i
$493$	14.6056	−	31.9818i	0.657803	−	1.44039i
$494$	−16.9507	−	23.2140i	−0.762648	−	1.04445i
$495$	5.26821	+	17.9419i	0.236788	+	0.806427i
$496$	−7.81228	+	10.9712i	−0.350782	+	0.492623i
$497$	−12.5316	+	1.80178i	−0.562120	+	0.0808207i
$498$	2.19848	+	1.23463i	0.0985162	+	0.0553252i
$499$	−12.0532	−	26.3928i	−0.539575	−	1.18150i	−0.961483	−	0.274866i	$-0.911367\pi$
$499$	−12.0532	−	26.3928i	−0.539575	−	1.18150i	0.421908	−	0.906639i	$-0.361361\pi$
$500$	1.38974	−	4.34761i	0.0621510	−	0.194431i
$501$	−22.5537	−	3.24274i	−1.00763	−	0.144875i
$502$	24.5182	+	5.63987i	1.09430	+	0.251720i
$503$	−22.3730	+	25.8198i	−0.997563	+	1.15125i	−0.00907324	+	0.999959i	$0.502888\pi$
$503$	−22.3730	+	25.8198i	−0.997563	+	1.15125i	−0.988489	+	0.151290i	$0.951657\pi$
$504$	−7.33973	−	7.88322i	−0.326938	−	0.351147i
$505$			53.1105i			2.36339i
$506$	36.4666	−	13.1807i	1.62114	−	0.585954i
$507$	−8.57171			−0.380683
$508$	−2.64679	−	6.18070i	−0.117432	−	0.274224i
$509$	−21.4179	−	18.5587i	−0.949333	−	0.822601i	0.0349162	−	0.999390i	$-0.488884\pi$
$509$	−21.4179	−	18.5587i	−0.949333	−	0.822601i	−0.984249	+	0.176789i	$0.943429\pi$
$510$	21.3635	+	4.91420i	0.945991	+	0.217604i
$511$	2.03371	−	14.1448i	0.0899659	−	0.625727i
$512$	11.5469	+	19.4594i	0.510304	+	0.859994i
$513$	3.98067	−	1.81791i	0.175751	−	0.0802627i
$514$	−3.57559	+	6.36697i	−0.157713	+	0.280835i
$515$	2.47206	+	17.1935i	0.108932	+	0.757637i
$516$	4.57310	−	1.22540i	0.201319	−	0.0539453i
$517$	−49.9262	+	14.6597i	−2.19575	+	0.644731i
$518$	13.2225	+	18.1083i	0.580964	+	0.795631i
$519$	15.9110	+	7.26629i	0.698414	+	0.318955i
$520$	39.6964	+	16.4422i	1.74080	+	0.721037i
$521$	−10.1909	+	8.83048i	−0.446472	+	0.386870i	−0.848876	−	0.528592i	$-0.822720\pi$
$521$	−10.1909	+	8.83048i	−0.446472	+	0.386870i	0.402404	+	0.915462i	$0.368175\pi$
$522$	7.32997	+	7.50647i	0.320824	+	0.328549i
$523$	−8.72509	−	13.5765i	−0.381522	−	0.593659i	0.596386	−	0.802698i	$-0.296603\pi$
$523$	−8.72509	−	13.5765i	−0.381522	−	0.593659i	−0.977907	+	0.209039i	$0.932967\pi$
$524$	−2.20777	−	3.62201i	−0.0964470	−	0.158228i
$525$	18.2535	+	11.7308i	0.796648	+	0.511974i
$526$	4.69859	+	1.81644i	0.204868	+	0.0792005i
$527$	15.3111	+	4.49575i	0.666963	+	0.195838i
$528$	22.4554	+	4.32751i	0.977247	+	0.188331i
$529$	22.9999	−	0.0796356i	0.999994	−	0.00346242i
$530$	−4.60319	−	12.8048i	−0.199950	−	0.556205i
$531$	13.0217	+	3.82351i	0.565093	+	0.165926i
$532$	−33.3206	−	0.792881i	−1.44463	−	0.0343758i
$533$	−13.0639	+	20.3279i	−0.565862	+	0.880499i
$534$	−0.386792	−	1.88578i	−0.0167381	−	0.0816057i
$535$	−24.1632	−	37.5987i	−1.04467	−	1.62553i
$536$	−30.1097	−	3.23672i	−1.30054	−	0.139805i
$537$	−8.79499	−	10.1500i	−0.379532	−	0.438003i
$538$	19.5218	+	36.7851i	0.841644	+	1.58592i
$539$	39.0147	+	17.8174i	1.68048	+	0.767451i
$540$	−3.66650	+	5.41736i	−0.157781	+	0.233126i
$541$	−0.905407	−	3.08353i	−0.0389265	−	0.132571i	0.937737	−	0.347345i	$-0.112917\pi$
$541$	−0.905407	−	3.08353i	−0.0389265	−	0.132571i	−0.976664	+	0.214774i	$0.931099\pi$
$542$	−0.0248689	+	0.297872i	−0.00106821	+	0.0127947i
$543$	−2.28087	−	15.8638i	−0.0978813	−	0.680780i
$544$	17.3134	−	20.4688i	0.742307	−	0.877593i
$545$	2.35871	+	5.16485i	0.101036	+	0.221238i
$546$	−15.2271	+	19.8445i	−0.651660	+	0.849268i
$547$	−2.72536	+	18.9553i	−0.116528	+	0.810469i	0.844804	+	0.535076i	$0.179717\pi$
$547$	−2.72536	+	18.9553i	−0.116528	+	0.810469i	−0.961332	+	0.275393i	$0.911192\pi$
$548$	2.46063	+	20.5784i	0.105113	+	0.879065i
$549$	1.22773	−	1.41687i	0.0523981	−	0.0604706i
$550$	−45.9863	+	2.73962i	−1.96086	+	0.116818i
$551$	32.4654			1.38307
$552$	11.6779	+	6.90128i	0.497043	+	0.293738i
$553$	13.5568			0.576492
$554$	−0.230260	+	0.0137176i	−0.00978279	+	0.000582806i
$555$	8.91740	−	10.2912i	0.378522	−	0.436838i
$556$	30.6965	−	3.67049i	1.30182	−	0.155663i
$557$	0.430223	−	2.99227i	0.0182291	−	0.126786i	−0.978675	−	0.205416i	$-0.934145\pi$
$557$	0.430223	−	2.99227i	0.0182291	−	0.126786i	0.996904	+	0.0786294i	$0.0250544\pi$
$558$	−2.89880	+	3.77782i	−0.122716	+	0.159928i
$559$	−4.56733	−	10.0010i	−0.193177	−	0.422999i
$560$	43.1467	−	24.9118i	1.82328	−	1.05272i
$561$	−3.85600	−	26.8191i	−0.162800	−	1.13230i
$562$	0.436853	−	5.23249i	0.0184275	−	0.220719i
$563$	−13.1889	−	44.9172i	−0.555846	−	1.89304i	−0.435182	−	0.900342i	$-0.643316\pi$
$563$	−13.1889	−	44.9172i	−0.555846	−	1.89304i	−0.120663	−	0.992693i	$-0.538502\pi$
$564$	−15.0747	−	10.2026i	−0.634759	−	0.429609i
$565$	−26.7249	−	12.2049i	−1.12433	−	0.513463i
$566$	10.6750	+	20.1150i	0.448703	+	0.845496i
$567$	−2.49382	−	2.87802i	−0.104730	−	0.120865i
$568$	9.34943	+	1.00504i	0.392293	+	0.0421706i
$569$	7.16660	+	11.1514i	0.300439	+	0.467493i	0.958347	−	0.285606i	$-0.0921948\pi$
$569$	7.16660	+	11.1514i	0.300439	+	0.467493i	−0.657908	+	0.753098i	$0.728558\pi$
$570$	4.06714	+	19.8291i	0.170354	+	0.830549i
$571$	−17.7699	+	27.6505i	−0.743647	+	1.15714i	0.238886	+	0.971048i	$0.423218\pi$
$571$	−17.7699	+	27.6505i	−0.743647	+	1.15714i	−0.982533	+	0.186089i	$0.940419\pi$
$572$	1.26335	−	53.0920i	0.0528234	−	2.21989i
$573$	−9.11022	−	2.67500i	−0.380585	−	0.111750i
$574$	9.47869	+	26.3671i	0.395633	+	1.10054i
$575$	−26.2319	−	7.65307i	−1.09394	−	0.319155i
$576$	3.83418	+	7.02133i	0.159757	+	0.292555i
$577$	32.7043	+	9.60285i	1.36150	+	0.399772i	0.879291	−	0.476285i	$-0.158017\pi$
$577$	32.7043	+	9.60285i	1.36150	+	0.399772i	0.482207	+	0.876057i	$0.339835\pi$
$578$	−7.20243	−	2.78440i	−0.299582	−	0.115816i
$579$	−5.01211	−	3.22109i	−0.208296	−	0.133864i
$580$	−41.4383	+	25.2585i	−1.72063	+	1.04880i
$581$	−3.67077	−	5.71183i	−0.152289	−	0.236967i
$582$	−10.1238	−	10.3676i	−0.419645	−	0.429750i
$583$	−12.7104	+	11.0137i	−0.526413	+	0.456139i
$584$	−4.06157	+	9.80586i	−0.168069	+	0.405769i
$585$	13.8183	+	6.31060i	0.571316	+	0.260911i
$586$	−3.17328	−	4.34582i	−0.131087	−	0.179524i
$587$	0.607901	−	0.178496i	0.0250908	−	0.00736731i	−0.269163	−	0.963095i	$-0.586747\pi$
$587$	0.607901	−	0.178496i	0.0250908	−	0.00736731i	0.294254	+	0.955727i	$0.404929\pi$
$588$	3.88351	+	14.4929i	0.160153	+	0.597678i
$589$	2.09700	+	14.5850i	0.0864054	+	0.600963i
$590$	−30.7381	+	54.7346i	−1.26547	+	2.25339i
$591$	11.8218	−	5.39884i	0.486284	−	0.222079i
$592$	−6.18972	−	15.4604i	−0.254396	−	0.635417i
$593$	−0.242022	+	1.68330i	−0.00993867	+	0.0691250i	−0.994187	−	0.107666i	$-0.965662\pi$
$593$	−0.242022	+	1.68330i	−0.00993867	+	0.0691250i	0.984248	+	0.176791i	$0.0565715\pi$
$594$	7.87950	+	1.81251i	0.323300	+	0.0743680i
$595$	−44.6115	−	38.6561i	−1.82889	−	1.58474i
$596$	−0.400321	+	0.171432i	−0.0163978	+	0.00702212i
$597$	−17.2740			−0.706979
$598$	11.3078	−	29.4012i	0.462411	−	1.20231i
$599$			10.7697i			0.440037i	0.975496	+	0.220018i	$0.0706117\pi$
$599$			10.7697i			0.440037i	−0.975496	+	0.220018i	$0.929388\pi$
$600$	−10.9817	−	11.7948i	−0.448325	−	0.481522i
$601$	10.1798	−	11.7481i	0.415243	−	0.479215i	−0.509139	−	0.860684i	$-0.670036\pi$
$601$	10.1798	−	11.7481i	0.415243	−	0.479215i	0.924382	+	0.381469i	$0.124582\pi$
$602$	−12.4243	−	2.85794i	−0.506377	−	0.116481i
$603$	−10.5977	−	1.52372i	−0.431573	−	0.0620508i
$604$	−19.2815	−	6.16344i	−0.784553	−	0.250787i
$605$	29.4648	+	64.5190i	1.19792	+	2.62307i
$606$	20.0228	+	11.2445i	0.813369	+	0.456776i
$607$	14.3655	−	2.06544i	0.583076	−	0.0838337i	0.155536	−	0.987830i	$-0.450289\pi$
$607$	14.3655	−	2.06544i	0.583076	−	0.0838337i	0.427540	+	0.903996i	$0.359380\pi$
$608$	23.8338	+	6.69065i	0.966589	+	0.271342i
$609$	−7.95945	−	27.1074i	−0.322533	−	1.09845i
$610$	5.11393	+	7.00354i	0.207057	+	0.283565i
$611$	−17.5603	+	38.4516i	−0.710413	+	1.55559i
$612$	6.37571	−	7.01364i	0.257723	−	0.283510i
$613$	11.7982	+	13.6158i	0.476525	+	0.549939i	0.942215	−	0.335009i	$-0.108739\pi$
$613$	11.7982	+	13.6158i	0.476525	+	0.549939i	−0.465690	+	0.884948i	$0.654194\pi$
$614$	−11.4904	+	11.2202i	−0.463714	+	0.452811i
$615$	14.3152	−	9.19980i	0.577243	−	0.370972i
$616$	−47.9493	−	38.6390i	−1.93193	−	1.55681i
$617$	26.2648	−	40.8688i	1.05738	−	1.64531i	0.352785	−	0.935704i	$-0.385235\pi$
$617$	26.2648	−	40.8688i	1.05738	−	1.64531i	0.704594	−	0.709611i	$-0.251129\pi$
$618$	7.00537	+	2.70822i	0.281797	+	0.108941i
$619$	10.2142	−	34.7864i	0.410544	−	1.39818i	−0.451917	−	0.892060i	$-0.649260\pi$
$619$	10.2142	−	34.7864i	0.410544	−	1.39818i	0.862461	−	0.506124i	$-0.168922\pi$
$620$	−14.0238	−	16.9845i	−0.563211	−	0.682114i
$621$	4.03899	+	2.58583i	0.162079	+	0.103766i
$622$	8.53918	−	3.06975i	0.342390	−	0.123086i
$623$	−1.46042	+	4.97373i	−0.0585104	+	0.199268i
$624$	14.6032	−	11.4845i	0.584596	−	0.459748i
$625$	−17.6868	−	11.3666i	−0.707474	−	0.454666i
$626$	−1.55832	−	7.59751i	−0.0622831	−	0.303657i
$627$	21.0473	−	13.5263i	0.840549	−	0.540188i
$628$	−6.11030	−	2.96813i	−0.243827	−	0.118441i
$629$	−14.9117	+	12.9211i	−0.594569	+	0.515197i
$630$	15.5594	−	8.25736i	0.619903	−	0.328981i
$631$	11.9509	−	26.1688i	0.475757	−	1.04176i	−0.507852	−	0.861444i	$-0.669560\pi$
$631$	11.9509	−	26.1688i	0.475757	−	1.04176i	0.983608	−	0.180317i	$-0.0577125\pi$
$632$	−9.75624	−	2.48999i	−0.388082	−	0.0990466i
$633$	−6.52763	+	1.91668i	−0.259450	+	0.0761813i
$634$	−3.51358	+	42.0846i	−0.139542	+	1.67139i
$635$	10.8836	−	1.56483i	0.431904	−	0.0620984i
$636$	−5.80201	−	0.975603i	−0.230065	−	0.0386852i
$637$	31.6950	−	14.4746i	1.25580	−	0.573506i
$638$	47.5875	+	36.5149i	1.88401	+	1.44564i
$639$	3.29073	+	0.473135i	0.130179	+	0.0187169i
$640$	−35.6265	+	10.0032i	−1.40826	+	0.395410i
$641$	−16.8272	−	14.5809i	−0.664636	−	0.575910i	0.255835	−	0.966720i	$-0.417649\pi$
$641$	−16.8272	−	14.5809i	−0.664636	−	0.575910i	−0.920471	+	0.390810i	$0.872195\pi$
$642$	−19.2906	+	1.14923i	−0.761338	+	0.0453564i
$643$			19.5502i			0.770986i	0.922711	+	0.385493i	$0.125969\pi$
$643$			19.5502i			0.770986i	−0.922711	+	0.385493i	$0.874031\pi$
$644$	−19.0652	−	31.1563i	−0.751273	−	1.22773i
$645$			7.74255i			0.304862i
$646$	−1.74423	−	29.2781i	−0.0686259	−	1.15193i
$647$	1.84132	+	1.59552i	0.0723899	+	0.0627262i	0.690304	−	0.723519i	$-0.257477\pi$
$647$	1.84132	+	1.59552i	0.0723899	+	0.0627262i	−0.617914	+	0.786245i	$0.712022\pi$
$648$	1.26609	+	2.52923i	0.0497366	+	0.0993577i
$649$	76.8002	+	11.0422i	3.01467	+	0.433444i
$650$	−22.7827	+	29.6913i	−0.893611	+	1.16459i
$651$	11.6638	−	5.32667i	0.457140	−	0.208769i
$652$	−35.1165	−	5.90482i	−1.37527	−	0.231250i
$653$	−31.0459	+	4.46372i	−1.21492	+	0.174679i	−0.719822	−	0.694159i	$-0.755777\pi$
$653$	−31.0459	+	4.46372i	−1.21492	+	0.174679i	−0.495097	+	0.868838i	$0.664868\pi$
$654$	2.44654	+	0.204258i	0.0956673	+	0.00798712i
$655$	6.65598	−	1.95437i	0.260071	−	0.0763636i
$656$	−1.97854	−	20.7163i	−0.0772488	−	0.808834i
$657$	−1.55885	+	3.41341i	−0.0608166	+	0.133170i
$658$	22.9775	+	43.2967i	0.895754	+	1.68788i
$659$	−5.64417	+	4.89070i	−0.219866	+	0.190515i	−0.757828	−	0.652454i	$-0.773740\pi$
$659$	−5.64417	+	4.89070i	−0.219866	+	0.190515i	0.537963	+	0.842969i	$0.319194\pi$
$660$	−16.3408	+	33.6398i	−0.636066	+	1.30943i
$661$	31.6009	−	20.3087i	1.22913	−	0.789916i	0.245378	−	0.969428i	$-0.421088\pi$
$661$	31.6009	−	20.3087i	1.22913	−	0.789916i	0.983756	+	0.179511i	$0.0574516\pi$
$662$	30.5410	−	6.26425i	1.18701	−	0.243467i
$663$	−18.5172	−	11.9003i	−0.719150	−	0.462170i
$664$	1.59260	+	4.78478i	0.0618048	+	0.185686i
$665$	15.3564	−	52.2990i	0.595495	−	2.02807i
$666$	−1.99183	−	5.54072i	−0.0771819	−	0.214698i
$667$	19.2873	+	29.8976i	0.746806	+	1.15764i
$668$	−29.0151	−	35.1407i	−1.12263	−	1.35963i
$669$	−1.92269	+	6.54808i	−0.0743354	+	0.253163i
$670$	17.8577	−	46.1925i	0.689902	−	1.78457i
$671$	5.79484	−	9.01694i	0.223707	−	0.348095i
$672$	−0.256825	−	21.5407i	−0.00990724	−	0.830950i
$673$	−3.88208	+	2.49486i	−0.149643	+	0.0961699i	−0.613320	−	0.789835i	$-0.710166\pi$
$673$	−3.88208	+	2.49486i	−0.149643	+	0.0961699i	0.463677	+	0.886005i	$0.346530\pi$
$674$	−0.247005	−	0.252953i	−0.00951428	−	0.00974337i
$675$	−3.73123	−	4.30607i	−0.143615	−	0.165741i
$676$	−12.6854	−	11.5316i	−0.487900	−	0.443523i
$677$	−19.2026	+	42.0477i	−0.738014	+	1.61603i	0.0487790	+	0.998810i	$0.484467\pi$
$677$	−19.2026	+	42.0477i	−0.738014	+	1.61603i	−0.786793	+	0.617216i	$0.788260\pi$
$678$	−10.2594	+	7.49135i	−0.394011	+	0.287703i
$679$	10.9932	+	37.4394i	0.421881	+	1.43679i
$680$	25.0050	+	36.0130i	0.958899	+	1.38104i
$681$	−11.2844	+	1.62245i	−0.432419	+	0.0621725i
$682$	−13.3304	+	23.7371i	−0.510448	+	0.908940i
$683$	−2.43360	−	5.32883i	−0.0931189	−	0.203902i	0.857341	−	0.514749i	$-0.172115\pi$
$683$	−2.43360	−	5.32883i	−0.0931189	−	0.203902i	−0.950460	+	0.310847i	$0.899387\pi$
$684$	8.33669	+	2.66487i	0.318761	+	0.101894i
$685$	−33.5480	−	4.82348i	−1.28181	−	0.184296i
$686$	0.606196	−	2.63532i	0.0231447	−	0.100617i
$687$	4.40182	−	5.07997i	0.167940	−	0.193813i
$688$	8.41633	+	4.33873i	0.320870	+	0.165413i
$689$			13.6630i			0.520518i
$690$	−15.8445	+	15.5257i	−0.603192	+	0.591053i
$691$	−0.892988			−0.0339708			−0.0169854	−	0.999856i	$-0.505407\pi$
$691$	−0.892988			−0.0339708			−0.0169854	+	0.999856i	$0.505407\pi$
$692$	13.7715	+	32.1586i	0.523513	+	1.22249i
$693$	−16.4541	−	14.2575i	−0.625038	−	0.541599i
$694$	−9.79486	+	42.5811i	−0.371808	+	1.61636i
$695$	−7.19512	+	50.0431i	−0.272926	+	1.89824i
$696$	0.749225	+	20.9700i	0.0283993	+	0.794866i
$697$	−22.4283	+	10.2427i	−0.849532	+	0.387968i
$698$	−23.0044	−	12.9189i	−0.870728	−	0.488988i
$699$	3.30900	+	23.0146i	0.125158	+	0.870491i
$700$	11.2321	+	41.9172i	0.424532	+	1.58432i
$701$	−11.5097	+	3.37955i	−0.434715	+	0.127644i	−0.491766	−	0.870727i	$-0.663648\pi$
$701$	−11.5097	+	3.37955i	−0.434715	+	0.127644i	0.0570510	+	0.998371i	$0.481830\pi$
$702$	5.30470	−	3.87345i	0.200213	−	0.146194i
$703$	−16.5729	−	7.56859i	−0.625059	−	0.285455i
$704$	27.4103	+	36.6138i	1.03306	+	1.37993i
$705$	22.4973	−	19.4941i	0.847299	−	0.734188i
$706$	−10.6854	+	10.4341i	−0.402149	+	0.392694i
$707$	−33.4317	−	52.0208i	−1.25733	−	1.95644i
$708$	14.1272	+	23.1767i	0.530933	+	0.871032i
$709$	16.9212	+	10.8746i	0.635490	+	0.408405i	0.818339	−	0.574736i	$-0.194895\pi$
$709$	16.9212	+	10.8746i	0.635490	+	0.408405i	−0.182848	+	0.983141i	$0.558532\pi$
$710$	−5.54503	+	14.3433i	−0.208101	+	0.538296i
$711$	−3.41572	−	1.00295i	−0.128099	−	0.0376134i
$712$	1.96453	−	3.31115i	0.0736240	−	0.124090i
$713$	−12.1856	+	10.5959i	−0.456355	+	0.396819i
$714$	−24.0185	+	8.63440i	−0.898870	+	0.323134i
$715$	83.3317	+	24.4684i	3.11643	+	0.915066i
$716$	0.638983	−	26.8530i	0.0238799	−	1.00355i
$717$	4.23864	−	6.59545i	0.158295	−	0.246312i
$718$	−22.3146	+	4.57695i	−0.832774	+	0.170810i
$719$	−17.8564	−	27.7851i	−0.665931	−	1.03621i	−0.995744	−	0.0921620i	$-0.970622\pi$
$719$	−17.8564	−	27.7851i	−0.665931	−	1.03621i	0.329814	−	0.944046i	$-0.393014\pi$
$720$	−12.7141	+	3.08465i	−0.473827	+	0.114958i
$721$	−13.2442	−	15.2846i	−0.493241	−	0.569230i
$722$	0.188003	−	0.0997729i	0.00699675	−	0.00371316i
$723$	−18.3205	−	8.36669i	−0.681346	−	0.311160i
$724$	17.9662	−	26.5455i	0.667707	−	0.986556i
$725$	−11.9089	−	40.5579i	−0.442285	−	1.50628i
$726$	30.5620	+	2.55158i	1.13426	+	0.0946980i
$727$	−0.161239	−	1.12144i	−0.00598002	−	0.0415920i	0.986613	−	0.163079i	$-0.0521427\pi$
$727$	−0.161239	−	1.12144i	−0.00598002	−	0.0415920i	−0.992593	+	0.121487i	$0.961234\pi$
$728$	−49.2318	+	8.88308i	−1.82465	+	0.329229i
$729$	0.415415	+	0.909632i	0.0153857	+	0.0336901i
$730$	−13.7706	−	10.5664i	−0.509672	−	0.391082i
$731$	1.59659	−	11.1046i	0.0590522	−	0.410717i
$732$	3.72306	−	0.445180i	0.137608	−	0.0164543i
$733$	7.32259	−	8.45072i	0.270466	−	0.312134i	−0.604227	−	0.796813i	$-0.706518\pi$
$733$	7.32259	−	8.45072i	0.270466	−	0.312134i	0.874693	+	0.484678i	$0.161063\pi$
$734$	−1.19248	−	20.0166i	−0.0440152	−	0.738825i
$735$	−24.5375			−0.905078
$736$	7.99789	+	25.9236i	0.294806	+	0.955557i
$737$	−61.2119			−2.25477
$738$	−0.437553	−	7.34461i	−0.0161065	−	0.270359i
$739$	−27.3240	+	31.5335i	−1.00513	+	1.15998i	−0.0180338	+	0.999837i	$0.505741\pi$
$739$	−27.3240	+	31.5335i	−1.00513	+	1.15998i	−0.987094	+	0.160142i	$0.948805\pi$
$740$	27.0418	−	3.23349i	0.994078	−	0.118866i
$741$	2.89256	−	20.1182i	0.106261	−	0.739061i
$742$	12.5690	+	9.64446i	0.461423	+	0.354059i
$743$	−7.67996	−	16.8168i	−0.281750	−	0.616947i	0.714855	−	0.699272i	$-0.246493\pi$
$743$	−7.67996	−	16.8168i	−0.281750	−	0.616947i	−0.996605	+	0.0823255i	$0.973765\pi$
$744$	−9.37230	+	1.69108i	−0.343605	+	0.0619979i
$745$	−0.101353	−	0.704928i	−0.00371330	−	0.0258266i
$746$	8.82236	+	0.736566i	0.323010	+	0.0269676i
$747$	0.502307	+	1.71070i	0.0183785	+	0.0625913i
$748$	30.3733	−	44.8774i	1.11056	−	1.64088i
$749$	47.3348	+	21.6171i	1.72958	+	0.789871i
$750$	2.85088	−	1.51296i	0.104099	−	0.0552453i
$751$	27.5710	+	31.8186i	1.00608	+	1.16108i	0.986912	+	0.161260i	$0.0515559\pi$
$751$	27.5710	+	31.8186i	1.00608	+	1.16108i	0.0191667	+	0.999816i	$0.493899\pi$
$752$	−8.58355	−	35.3791i	−0.313010	−	1.29014i
$753$	9.61786	+	14.9657i	0.350494	+	0.545380i
$754$	47.7352	−	9.79097i	1.73842	−	0.356566i
$755$	17.8975	−	27.8490i	0.651356	−	1.01353i
$756$	0.181183	−	7.61417i	0.00658957	−	0.276925i
$757$	−21.4525	−	6.29903i	−0.779706	−	0.228942i	−0.132424	−	0.991193i	$-0.542276\pi$
$757$	−21.4525	−	6.29903i	−0.779706	−	0.228942i	−0.647282	+	0.762251i	$0.724094\pi$
$758$	−26.3736	+	9.48104i	−0.957933	+	0.344367i
$759$	24.9604	+	11.3469i	0.906006	+	0.411865i
$760$	−20.6572	+	34.8169i	−0.749316	+	1.26294i
$761$	4.48227	+	1.31611i	0.162482	+	0.0477091i	0.361962	−	0.932193i	$-0.382107\pi$
$761$	4.48227	+	1.31611i	0.162482	+	0.0477091i	−0.199480	+	0.979902i	$0.563925\pi$
$762$	1.71432	−	4.43445i	0.0621034	−	0.160643i
$763$	−5.56145	−	3.57413i	−0.201338	−	0.129392i
$764$	−9.88365	−	16.2148i	−0.357578	−	0.586632i
$765$	8.38035	+	13.0401i	0.302992	+	0.471465i
$766$	15.7901	−	15.4189i	0.570521	−	0.557107i
$767$	47.6372	−	41.2778i	1.72008	−	1.49046i
$768$	−3.77159	+	15.5491i	−0.136096	+	0.561081i
$769$	2.40981	+	1.10052i	0.0868998	+	0.0396858i	0.458391	−	0.888751i	$-0.348426\pi$
$769$	2.40981	+	1.10052i	0.0868998	+	0.0396858i	−0.371491	+	0.928437i	$0.621153\pi$
$770$	81.3317	−	59.3878i	2.93099	−	2.14019i
$771$	−4.95433	+	1.45472i	−0.178426	+	0.0523905i
$772$	−3.08414	−	11.5098i	−0.111001	−	0.414246i
$773$	−3.64380	−	25.3432i	−0.131058	−	0.911531i	−0.944178	−	0.329435i	$-0.893142\pi$
$773$	−3.64380	−	25.3432i	−0.131058	−	0.911531i	0.813120	−	0.582096i	$-0.197767\pi$
$774$	2.91895	+	1.63924i	0.104920	+	0.0589213i
$775$	17.4513	−	7.96973i	0.626869	−	0.286281i
$776$	−1.03479	−	28.9628i	−0.0371470	−	1.03970i
$777$	−2.25636	+	15.6933i	−0.0809465	+	0.562995i
$778$	−4.29615	+	18.6766i	−0.154025	+	0.669590i
$779$	−17.2064	−	14.9095i	−0.616485	−	0.534187i
$780$	11.9602	+	27.9290i	0.428243	+	1.00002i
$781$	19.0070			0.680126
$782$	25.9262	−	19.0000i	0.927120	−	0.679439i
$783$			7.41874i			0.265124i
$784$	−13.7502	+	26.6728i	−0.491078	+	0.952600i
$785$	7.27495	−	8.39574i	0.259654	−	0.299657i
$786$	0.672394	−	2.92309i	0.0239835	−	0.104263i
$787$	11.0731	+	1.59207i	0.394713	+	0.0567511i	0.336814	−	0.941571i	$-0.390651\pi$
$787$	11.0731	+	1.59207i	0.394713	+	0.0567511i	0.0578990	+	0.998322i	$0.481560\pi$
$788$	24.7584	+	7.91415i	0.881980	+	0.281930i
$789$	1.47972	+	3.24014i	0.0526796	+	0.115352i
$790$	8.06291	−	14.3574i	0.286866	−	0.510814i
$791$	33.8592	−	4.86822i	1.20390	−	0.173094i
$792$	9.22260	+	13.2827i	0.327711	+	0.471980i
$793$	−2.45320	−	8.35482i	−0.0871155	−	0.296688i
$794$	−0.141936	+	0.103641i	−0.00503712	+	0.00367806i
$795$	3.99697	−	8.75215i	0.141758	−	0.310407i
$796$	−25.5641	−	23.2389i	−0.906096	−	0.823681i
$797$	−24.7301	−	28.5400i	−0.875983	−	1.01094i	−0.999826	−	0.0186369i	$-0.994067\pi$
$797$	−24.7301	−	28.5400i	−0.875983	−	1.01094i	0.123843	−	0.992302i	$-0.460478\pi$
$798$	−16.4656	−	16.8621i	−0.582876	−	0.596911i
$799$	−36.2861	+	23.3197i	−1.28371	+	0.824991i
$800$	−0.384260	−	32.2291i	−0.0135856	−	1.13947i
$801$	0.735924	−	1.14512i	0.0260026	−	0.0404609i
$802$	19.2707	−	49.8477i	0.680473	−	1.76018i
$803$	−6.04421	+	20.5847i	−0.213296	+	0.726418i
$804$	−13.6339	−	16.5122i	−0.480829	−	0.582340i
$805$	57.2857	−	16.9284i	2.01905	−	0.596647i
$806$	7.48187	+	20.8125i	0.263538	+	0.733088i
$807$	−8.29616	+	28.2541i	−0.292039	+	0.994593i
$808$	14.5047	+	43.5777i	0.510273	+	1.53306i
$809$	8.27950	+	5.32091i	0.291092	+	0.187073i	0.678034	−	0.735031i	$-0.262832\pi$
$809$	8.27950	+	5.32091i	0.291092	+	0.187073i	−0.386942	+	0.922104i	$0.626469\pi$
$810$	−4.53120	+	0.929393i	−0.159210	+	0.0326555i
$811$	−15.9641	+	10.2595i	−0.560577	+	0.360261i	−0.790039	−	0.613057i	$-0.789940\pi$
$811$	−15.9641	+	10.2595i	−0.560577	+	0.360261i	0.229462	+	0.973318i	$0.426303\pi$
$812$	24.6885	−	50.8245i	0.866396	−	1.78359i
$813$	−0.159735	+	0.138411i	−0.00560216	+	0.00485430i
$814$	−15.7798	−	29.7341i	−0.553082	−	1.04218i
$815$	24.1916	−	52.9722i	0.847395	−	1.85554i
$816$	18.8710	−	1.80230i	0.660618	−	0.0630932i
$817$	9.93961	−	2.91853i	0.347743	−	0.102107i
$818$	55.4507	+	4.62949i	1.93879	+	0.161866i
$819$	−17.5071	+	2.51714i	−0.611748	+	0.0879561i
$820$	33.5618	+	5.64338i	1.17203	+	0.197076i
$821$	16.0499	−	7.32975i	0.560146	−	0.255810i	−0.115161	−	0.993347i	$-0.536738\pi$
$821$	16.0499	−	7.32975i	0.560146	−	0.255810i	0.675307	+	0.737537i	$0.264011\pi$
$822$	−8.92121	+	11.6265i	−0.311163	+	0.405519i
$823$	−12.0082	−	1.72652i	−0.418579	−	0.0601825i	−0.0701922	−	0.997533i	$-0.522361\pi$
$823$	−12.0082	−	1.72652i	−0.418579	−	0.0601825i	−0.348387	+	0.937351i	$0.613270\pi$
$824$	6.72396	+	13.4323i	0.234240	+	0.467937i
$825$	−24.6185	−	21.3320i	−0.857105	−	0.742686i
$826$	−4.34659	−	72.9604i	−0.151237	−	2.53862i
$827$			21.0082i			0.730527i	0.930904	+	0.365263i	$0.119021\pi$
$827$			21.0082i			0.730527i	−0.930904	+	0.365263i	$0.880979\pi$
$828$	2.49862	+	9.26050i	0.0868332	+	0.321825i
$829$		−	6.36608i		−	0.221103i	−0.993870	−	0.110552i	$-0.964738\pi$
$829$		−	6.36608i		−	0.221103i	0.993870	−	0.110552i	$-0.0352617\pi$
$830$	−8.23236	+	0.490440i	−0.285749	+	0.0170234i
$831$	−0.123268	−	0.106812i	−0.00427612	−	0.00370528i
$832$	37.0617	+	2.64971i	1.28488	+	0.0918622i
$833$	35.1923	+	5.05988i	1.21934	+	0.175315i
$834$	17.3430	+	13.3076i	0.600539	+	0.460806i
$835$	67.7913	−	30.9592i	2.34601	−	1.07139i
$836$	49.3452	+	8.29736i	1.70664	+	0.286970i
$837$	−3.33284	+	0.479191i	−0.115200	+	0.0165633i
$838$	−2.74810	+	32.9158i	−0.0949314	+	1.13706i
$839$	−8.39446	+	2.46484i	−0.289809	+	0.0850956i	−0.423406	−	0.905940i	$-0.639166\pi$
$839$	−8.39446	+	2.46484i	−0.289809	+	0.0850956i	0.133597	+	0.991036i	$0.457347\pi$
$840$	34.1353	+	8.71204i	1.17778	+	0.300594i
$841$	−10.8165	+	23.6848i	−0.372982	+	0.816716i
$842$	−7.86724	+	4.17513i	−0.271123	+	0.143884i
$843$	2.80595	−	2.43137i	0.0966419	−	0.0837407i
$844$	−12.2389	−	5.94514i	−0.421279	−	0.204640i
$845$	23.5853	−	15.1573i	0.811358	−	0.521428i
$846$	−2.58619	−	12.6088i	−0.0889149	−	0.433499i
$847$	−69.4733	−	44.6478i	−2.38713	−	1.53412i
$848$	−7.27399	−	9.24930i	−0.249790	−	0.317622i
$849$	−4.53654	+	15.4500i	−0.155694	+	0.530244i
$850$	−35.9363	+	12.9187i	−1.23261	+	0.443109i
$851$	−2.87577	−	19.7585i	−0.0985802	−	0.677314i
$852$	4.23348	+	5.12724i	0.145037	+	0.175656i
$853$	0.755765	−	2.57390i	0.0258769	−	0.0881286i	−0.945542	−	0.325500i	$-0.894468\pi$
$853$	0.755765	−	2.57390i	0.0258769	−	0.0881286i	0.971419	+	0.237371i	$0.0762857\pi$
$854$	−9.41755	−	3.64075i	−0.322262	−	0.124584i
$855$	−7.73829	+	12.0410i	−0.264644	+	0.411794i
$856$	−30.0944	−	24.2510i	−1.02861	−	0.828881i
$857$	17.4314	−	11.2025i	0.595445	−	0.382669i	−0.207929	−	0.978144i	$-0.566672\pi$
$857$	17.4314	−	11.2025i	0.595445	−	0.382669i	0.803374	+	0.595475i	$0.203036\pi$
$858$	26.8675	−	26.2358i	0.917241	−	0.895674i
$859$	−30.1223	−	34.7629i	−1.02776	−	1.18610i	−0.982335	−	0.187129i	$-0.940082\pi$
$859$	−30.1223	−	34.7629i	−1.02776	−	1.18610i	−0.0454230	−	0.998968i	$-0.514464\pi$
$860$	−10.4161	+	11.4583i	−0.355186	+	0.390725i
$861$	−8.23040	+	18.0221i	−0.280491	+	0.614190i
$862$	9.68948	+	13.2698i	0.330025	+	0.451970i
$863$	0.650364	+	2.21494i	0.0221387	+	0.0753973i	0.969821	−	0.243816i	$-0.0783994\pi$
$863$	0.650364	+	2.21494i	0.0221387	+	0.0753973i	−0.947683	+	0.319214i	$0.896581\pi$
$864$	−1.52890	+	5.44633i	−0.0520142	+	0.185288i
$865$	−56.6284	+	8.14193i	−1.92542	+	0.276834i
$866$	17.7468	+	9.96636i	0.603062	+	0.338671i
$867$	−2.26826	−	4.96679i	−0.0770340	−	0.168681i
$868$	24.4274	+	7.80836i	0.829121	+	0.265033i
$869$	−20.1454	−	2.89648i	−0.683387	−	0.0982563i
$870$	−33.4422	−	7.69265i	−1.13380	−	0.260805i
$871$	−32.5647	+	37.5817i	−1.10341	+	1.27341i
$872$	3.34588	+	3.59363i	0.113306	+	0.121696i
$873$		−	10.2464i		−	0.346789i
$874$	25.9039	+	14.4883i	0.876212	+	0.490075i
$875$	−8.69086			−0.293805
$876$	−6.89906	+	2.95442i	−0.233098	+	0.0998206i
$877$	28.6102	+	24.7909i	0.966097	+	0.837128i	0.986682	−	0.162660i	$-0.0520074\pi$
$877$	28.6102	+	24.7909i	0.966097	+	0.837128i	−0.0205849	+	0.999788i	$0.506553\pi$
$878$	−41.0246	−	9.43681i	−1.38451	−	0.318477i
$879$	0.541507	−	3.76626i	0.0182646	−	0.127033i
$880$	−69.4389	+	27.8006i	−2.34079	+	0.937157i
$881$	−6.53634	+	2.98505i	−0.220215	+	0.100569i	−0.522468	−	0.852659i	$-0.674989\pi$
$881$	−6.53634	+	2.98505i	−0.220215	+	0.100569i	0.302253	+	0.953228i	$0.402261\pi$
$882$	−5.19504	+	9.25067i	−0.174926	+	0.311486i
$883$	4.82454	+	33.5554i	0.162359	+	1.12923i	0.894172	+	0.447724i	$0.147765\pi$
$883$	4.82454	+	33.5554i	0.162359	+	1.12923i	−0.731813	+	0.681505i	$0.761326\pi$
$884$	−11.3944	−	42.5228i	−0.383234	−	1.43020i
$885$	−42.5906	+	12.5057i	−1.43167	+	0.420375i
$886$	−13.6100	−	18.6389i	−0.457237	−	0.626187i
$887$	29.6273	+	13.5303i	0.994788	+	0.454304i	0.845203	−	0.534445i	$-0.179479\pi$
$887$	29.6273	+	13.5303i	0.994788	+	0.454304i	0.149584	+	0.988749i	$0.452207\pi$
$888$	4.50623	−	10.8794i	0.151219	−	0.365089i
$889$	−9.67529	+	8.38369i	−0.324499	+	0.281180i
$890$	4.39888	+	4.50480i	0.147451	+	0.151001i
$891$	3.09093	+	4.80957i	0.103550	+	0.161127i
$892$	−11.6546	+	7.10399i	−0.390225	+	0.237859i
$893$	−33.5061	−	21.5331i	−1.12124	−	0.720576i
$894$	−0.287218	−	0.111036i	−0.00960599	−	0.00371360i
$895$	42.1478	+	12.3757i	1.40884	+	0.413674i
$896$	28.5988	−	32.2239i	0.955418	−	1.07652i
$897$	20.2455	−	9.28819i	0.675976	−	0.310124i
$898$	15.6322	+	43.4846i	0.521655	+	1.45110i
$899$	−23.9679	−	7.03762i	−0.799375	−	0.234718i
$900$	0.271085	−	11.3923i	0.00903618	−	0.379743i
$901$	−7.53735	+	11.7283i	−0.251106	+	0.390728i
$902$	−8.45193	−	41.2068i	−0.281418	−	1.37204i
$903$	−4.87374	−	7.58368i	−0.162188	−	0.252369i
$904$	−25.2612	−	2.71552i	−0.840176	−	0.0903170i
$905$	34.3277	+	39.6163i	1.14109	+	1.31689i
$906$	−6.70990	−	12.6435i	−0.222922	−	0.420054i
$907$	9.31213	+	4.25271i	0.309204	+	0.141209i	0.563973	−	0.825793i	$-0.309272\pi$
$907$	9.31213	+	4.25271i	0.309204	+	0.141209i	−0.254769	+	0.967002i	$0.581999\pi$
$908$	−18.8826	−	12.7799i	−0.626642	−	0.424116i
$909$	4.57479	+	15.5803i	0.151736	+	0.516766i
$910$	6.80672	−	81.5288i	0.225640	−	2.70265i
$911$	0.659555	+	4.58731i	0.0218520	+	0.151984i	0.997826	−	0.0659026i	$-0.0209927\pi$
$911$	0.659555	+	4.58731i	0.0218520	+	0.151984i	−0.975974	+	0.217887i	$0.930084\pi$
$912$	8.75253	+	15.1592i	0.289825	+	0.501971i
$913$	4.23442	+	9.27210i	0.140139	+	0.306862i
$914$	−28.8750	+	37.6310i	−0.955101	+	1.24472i
$915$	−0.872668	+	6.06954i	−0.0288495	+	0.200653i
$916$	13.3484	−	1.59612i	0.441045	−	0.0527374i
$917$	−5.28918	+	6.10404i	−0.174664	+	0.201573i
$918$	6.69041	−	0.398579i	0.220816	−	0.0131551i
$919$	22.8776			0.754664			0.377332	−	0.926078i	$-0.376842\pi$
$919$	22.8776			0.754664			0.377332	+	0.926078i	$0.376842\pi$
$920$	−44.3354	+	1.66089i	−1.46169	+	0.0547580i
$921$	−11.3561			−0.374196
$922$	11.0577	−	0.658761i	0.364167	−	0.0216951i
$923$	10.1117	−	11.6696i	0.332832	−	0.384109i
$924$	−5.16985	−	43.2357i	−0.170076	−	1.42235i
$925$	−3.37595	+	23.4803i	−0.111001	+	0.772027i
$926$	−3.47516	+	4.52895i	−0.114201	+	0.148831i
$927$	2.20620	+	4.83090i	0.0724610	+	0.158667i
$928$	−27.1023	+	32.0417i	−0.889677	+	1.05182i
$929$	−2.62093	−	18.2290i	−0.0859899	−	0.598073i	−0.986565	−	0.163371i	$-0.947763\pi$
$929$	−2.62093	−	18.2290i	−0.0859899	−	0.598073i	0.900575	−	0.434701i	$-0.143146\pi$
$930$	1.29580	−	15.5207i	0.0424909	−	0.508944i
$931$	9.24933	+	31.5003i	0.303135	+	1.03238i
$932$	−26.0646	+	38.5112i	−0.853776	+	1.26148i
$933$	5.83658	+	2.66548i	0.191081	+	0.0872638i
$934$	−27.8598	−	52.4965i	−0.911600	−	1.71774i
$935$	58.0339	+	66.9747i	1.89791	+	2.19031i
$936$	13.0615	+	1.40408i	0.426928	+	0.0458937i
$937$	15.9582	+	24.8314i	0.521331	+	0.811206i	0.997682	−	0.0680486i	$-0.0216773\pi$
$937$	15.9582	+	24.8314i	0.521331	+	0.811206i	−0.476351	+	0.879255i	$0.658041\pi$
$938$	11.5858	+	56.4857i	0.378289	+	1.84432i
$939$	2.96492	−	4.61351i	0.0967566	−	0.150556i
$940$	59.5196	+	1.41630i	1.94132	+	0.0461947i
$941$	56.4382	+	16.5718i	1.83983	+	0.540224i	0.999997	−	0.00261567i	$-0.000832594\pi$
$941$	56.4382	+	16.5718i	1.83983	+	0.540224i	0.839837	+	0.542839i	$0.182651\pi$
$942$	−1.62497	−	4.52021i	−0.0529443	−	0.147276i
$943$	3.50813	−	24.7031i	0.114240	−	0.804444i
$944$	−10.2727	+	53.3049i	−0.334348	+	1.73493i
$945$	11.9510	+	3.50913i	0.388766	+	0.114152i
$946$	17.8520	+	6.90144i	0.580418	+	0.224385i
$947$	−27.3487	−	17.5759i	−0.888714	−	0.571142i	0.0147094	−	0.999892i	$-0.495318\pi$
$947$	−27.3487	−	17.5759i	−0.888714	−	0.571142i	−0.903423	+	0.428750i	$0.858954\pi$
$948$	−3.70570	−	6.07947i	−0.120356	−	0.197452i
$949$	9.42267	+	14.6620i	0.305873	+	0.475947i
$950$	−24.6357	−	25.2289i	−0.799289	−	0.818534i
$951$	−22.5681	+	19.5553i	−0.731820	+	0.634125i
$952$	−47.1612	−	19.5341i	−1.52850	−	0.633104i
$953$	−24.3916	−	11.1393i	−0.790120	−	0.360836i	−0.0208688	−	0.999782i	$-0.506643\pi$
$953$	−24.3916	−	11.1393i	−0.790120	−	0.360836i	−0.769251	+	0.638946i	$0.779371\pi$
$954$	−2.45334	−	3.35986i	−0.0794299	−	0.108780i
$955$	29.7972	−	8.74924i	0.964214	−	0.283119i
$956$	15.1457	−	4.05843i	0.489848	−	0.131259i
$957$	6.03615	+	41.9824i	0.195121	+	1.35710i
$958$	9.88606	−	17.6038i	0.319404	−	0.568754i
$959$	35.8960	−	16.3931i	1.15914	−	0.529362i
$960$	−22.9656	−	12.5394i	−0.741212	−	0.404707i
$961$	−2.79827	+	19.4624i	−0.0902667	+	0.627819i
$962$	−26.6504	−	6.13034i	−0.859244	−	0.197650i
$963$	−10.3271	−	8.94846i	−0.332785	−	0.288360i
$964$	−15.8570	−	37.0287i	−0.510719	−	1.19261i
$965$	19.4868			0.627302
$966$	5.74642	−	25.1809i	0.184888	−	0.810181i
$967$		−	26.4705i		−	0.851233i	−0.904904	−	0.425616i	$-0.860057\pi$
$967$		−	26.4705i		−	0.851233i	0.904904	−	0.425616i	$-0.139943\pi$
$968$	41.7966	+	44.8915i	1.34339	+	1.44287i
$969$	13.5814	−	15.6738i	0.436299	−	0.503516i
$970$	46.1888	+	10.6247i	1.48303	+	0.341139i
$971$	−23.1174	−	3.32379i	−0.741874	−	0.106665i	−0.238993	−	0.971021i	$-0.576817\pi$
$971$	−23.1174	−	3.32379i	−0.741874	−	0.106665i	−0.502881	+	0.864356i	$0.667727\pi$
$972$	−0.608956	+	1.90504i	−0.0195323	+	0.0611041i
$973$	−24.4534	−	53.5455i	−0.783940	−	1.71659i
$974$	14.5206	+	8.15453i	0.465269	+	0.261288i
$975$	−26.1941	+	3.76614i	−0.838881	+	0.120613i
$976$	6.10872	+	4.34983i	0.195535	+	0.139235i
$977$	7.48915	+	25.5057i	0.239599	+	0.816000i	0.988225	+	0.153007i	$0.0488958\pi$
$977$	7.48915	+	25.5057i	0.239599	+	0.816000i	−0.748626	+	0.662993i	$0.769286\pi$
$978$	−14.8488	−	20.3355i	−0.474813	−	0.650257i
$979$	3.23286	−	7.07897i	0.103322	−	0.226245i
$980$	−36.3134	−	33.0104i	−1.15999	−	1.05448i
$981$	1.13683	+	1.31197i	0.0362961	+	0.0418880i
$982$	−34.5244	+	33.7127i	−1.10172	+	1.07581i
$983$	−16.2500	+	10.4433i	−0.518296	+	0.333089i	−0.773498	−	0.633799i	$-0.781495\pi$
$983$	−16.2500	+	10.4433i	−0.518296	+	0.333089i	0.255202	+	0.966888i	$0.417858\pi$
$984$	9.23322	−	11.4580i	0.294344	−	0.365269i
$985$	−22.9812	+	35.7595i	−0.732243	+	1.13939i
$986$	46.3774	+	17.9291i	1.47696	+	0.570980i
$987$	−9.76471	+	33.2556i	−0.310814	+	1.05854i
$988$	31.3459	−	25.8818i	0.997246	−	0.823411i
$989$	8.59270	+	7.41961i	0.273232	+	0.235930i
$990$	−24.8857	+	8.94614i	−0.790918	+	0.284327i
$991$	−4.90408	+	16.7018i	−0.155783	+	0.530549i	−0.999985	−	0.00547664i	$-0.998257\pi$
$991$	−4.90408	+	16.7018i	−0.155783	+	0.530549i	0.844202	+	0.536025i	$0.180075\pi$
$992$	−16.1452	−	10.1060i	−0.512612	−	0.320865i
$993$	18.5457	+	11.9186i	0.588530	+	0.378225i
$994$	−3.59752	−	17.5395i	−0.114106	−	0.556319i
$995$	47.5299	−	30.5456i	1.50680	−	0.968361i
$996$	−1.55805	+	3.20745i	−0.0493686	+	0.101632i
$997$	33.6607	−	29.1672i	1.06605	−	0.923733i	0.0687793	−	0.997632i	$-0.478090\pi$
$997$	33.6607	−	29.1672i	1.06605	−	0.923733i	0.997266	+	0.0738986i	$0.0235441\pi$
$998$	36.2453	−	19.2353i	1.14733	−	0.608883i
$999$	1.72952	−	3.78712i	0.0547195	−	0.119819i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	552.2.t.b.235.13	✓	240
8.3	odd	2	inner	552.2.t.b.235.18	yes	240
23.14	odd	22	inner	552.2.t.b.451.18	yes	240
184.83	even	22	inner	552.2.t.b.451.13	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
552.2.t.b.235.13	✓	240	1.1	even	1	trivial
552.2.t.b.235.18	yes	240	8.3	odd	2	inner
552.2.t.b.451.13	yes	240	184.83	even	22	inner
552.2.t.b.451.18	yes	240	23.14	odd	22	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 552 = 2^{3} \cdot 3 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	552.t (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(0.0841021 + 1.41171i) q^{2} +(-0.654861 + 0.755750i) q^{3} +(-1.98585 + 0.237456i) q^{4} +(0.465475 - 3.23745i) q^{5} +(-1.12197 - 0.860914i) q^{6} +(1.58197 + 3.46403i) q^{7} +(-0.502233 - 2.78348i) q^{8} +(-0.142315 - 0.989821i) q^{9} +O(q^{10})\)	\(q+(0.0841021 + 1.41171i) q^{2} +(-0.654861 + 0.755750i) q^{3} +(-1.98585 + 0.237456i) q^{4} +(0.465475 - 3.23745i) q^{5} +(-1.12197 - 0.860914i) q^{6} +(1.58197 + 3.46403i) q^{7} +(-0.502233 - 2.78348i) q^{8} +(-0.142315 - 0.989821i) q^{9} +(4.60949 + 0.384840i) q^{10} +(-1.61071 - 5.48557i) q^{11} +(1.12100 - 1.65631i) q^{12} +(-4.22482 - 1.92941i) q^{13} +(-4.75716 + 2.52461i) q^{14} +(2.14188 + 2.47186i) q^{15} +(3.88723 - 0.943105i) q^{16} +(-2.56222 - 3.98689i) q^{17} +(1.38537 - 0.284153i) q^{18} +(2.36591 - 3.68143i) q^{19} +(-0.155614 + 6.53963i) q^{20} +(-3.65391 - 1.07288i) q^{21} +(7.60857 - 2.73520i) q^{22} +(4.79582 - 0.00830260i) q^{23} +(2.43251 + 1.44323i) q^{24} +(-5.46695 - 1.60524i) q^{25} +(2.36845 - 6.12649i) q^{26} +(0.841254 + 0.540641i) q^{27} +(-3.96411 - 6.50340i) q^{28} +(4.01088 + 6.24104i) q^{29} +(-3.30942 + 3.23160i) q^{30} +(-2.54470 + 2.20499i) q^{31} +(1.65832 + 5.40833i) q^{32} +(5.20050 + 2.37499i) q^{33} +(5.41284 - 3.95241i) q^{34} +(11.9510 - 3.50913i) q^{35} +(0.517655 + 1.93185i) q^{36} +(-0.592506 - 4.12097i) q^{37} +(5.39610 + 3.03037i) q^{38} +(4.22482 - 1.92941i) q^{39} +(-9.24516 + 0.330315i) q^{40} +(0.740412 - 5.14968i) q^{41} +(1.20730 - 5.24849i) q^{42} +(1.78902 + 1.55020i) q^{43} +(4.50121 + 10.5111i) q^{44} -3.27074 q^{45} +(0.415060 + 6.76962i) q^{46} -9.10137i q^{47} +(-1.83284 + 3.55537i) q^{48} +(-4.91284 + 5.66972i) q^{49} +(1.80635 - 7.85276i) q^{50} +(4.69098 + 0.674461i) q^{51} +(8.84802 + 2.82832i) q^{52} +(-1.22204 - 2.67589i) q^{53} +(-0.692477 + 1.23308i) q^{54} +(-18.5090 + 2.66119i) q^{55} +(8.84753 - 6.14313i) q^{56} +(1.23290 + 4.19886i) q^{57} +(-8.47322 + 6.18708i) q^{58} +(-5.63778 + 12.3450i) q^{59} +(-4.84042 - 4.40015i) q^{60} +(1.22773 + 1.41687i) q^{61} +(-3.32683 - 3.40693i) q^{62} +(3.20363 - 2.05885i) q^{63} +(-7.49552 + 2.79591i) q^{64} +(-8.21292 + 12.7795i) q^{65} +(-2.91543 + 7.54135i) q^{66} +(3.01643 - 10.2730i) q^{67} +(6.03490 + 7.30896i) q^{68} +(-3.13432 + 3.62988i) q^{69} +(5.95897 + 16.5762i) q^{70} +(-0.936639 + 3.18990i) q^{71} +(-2.68367 + 0.893252i) q^{72} +(-3.15682 - 2.02876i) q^{73} +(5.76779 - 1.18303i) q^{74} +(4.79325 - 3.08044i) q^{75} +(-3.82418 + 7.87259i) q^{76} +(16.4541 - 14.2575i) q^{77} +(3.07908 + 5.80195i) q^{78} +(1.47884 - 3.23822i) q^{79} +(-1.24385 - 13.0237i) q^{80} +(-0.959493 + 0.281733i) q^{81} +(7.33212 + 0.612148i) q^{82} +(-1.76478 + 0.253736i) q^{83} +(7.51089 + 1.26295i) q^{84} +(-14.1000 + 6.43925i) q^{85} +(-2.03797 + 2.65595i) q^{86} +(-7.34323 - 1.05580i) q^{87} +(-14.4600 + 7.23841i) q^{88} +(1.02873 + 0.891401i) q^{89} +(-0.275076 - 4.61734i) q^{90} -17.6872i q^{91} +(-9.52183 + 1.15528i) q^{92} -3.36712i q^{93} +(12.8485 - 0.765445i) q^{94} +(-10.8172 - 9.37314i) q^{95} +(-5.17331 - 2.28843i) q^{96} +(10.1421 + 1.45822i) q^{97} +(-8.41718 - 6.45867i) q^{98} +(-5.20050 + 2.37499i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q + 4 q^{2} - 24 q^{3} - 4 q^{4} - 7 q^{6} + 4 q^{8} - 24 q^{9}+O(q^{10}) \) 240 * q + 4 * q^2 - 24 * q^3 - 4 * q^4 - 7 * q^6 + 4 * q^8 - 24 * q^9	\( 240 q + 4 q^{2} - 24 q^{3} - 4 q^{4} - 7 q^{6} + 4 q^{8} - 24 q^{9} - 4 q^{12} - 4 q^{16} - 44 q^{17} + 4 q^{18} + 55 q^{20} + 4 q^{24} - 24 q^{25} - 24 q^{27} + 4 q^{32} - 55 q^{34} + 7 q^{36} + 22 q^{38} + 11 q^{40} - 44 q^{42} + 77 q^{44} - 48 q^{46} + 51 q^{48} + 8 q^{49} - 33 q^{50} + 165 q^{52} - 7 q^{54} - 22 q^{56} - 59 q^{58} + 11 q^{60} + 29 q^{62} - 4 q^{64} + 55 q^{66} + 132 q^{70} + 4 q^{72} - 144 q^{73} - 66 q^{74} - 24 q^{75} - 55 q^{76} - 24 q^{81} - 26 q^{82} - 44 q^{84} - 110 q^{86} - 198 q^{88} - 47 q^{92} - 73 q^{94} + 4 q^{96} + 53 q^{98}+O(q^{100}) \) 240 * q + 4 * q^2 - 24 * q^3 - 4 * q^4 - 7 * q^6 + 4 * q^8 - 24 * q^9 - 4 * q^12 - 4 * q^16 - 44 * q^17 + 4 * q^18 + 55 * q^20 + 4 * q^24 - 24 * q^25 - 24 * q^27 + 4 * q^32 - 55 * q^34 + 7 * q^36 + 22 * q^38 + 11 * q^40 - 44 * q^42 + 77 * q^44 - 48 * q^46 + 51 * q^48 + 8 * q^49 - 33 * q^50 + 165 * q^52 - 7 * q^54 - 22 * q^56 - 59 * q^58 + 11 * q^60 + 29 * q^62 - 4 * q^64 + 55 * q^66 + 132 * q^70 + 4 * q^72 - 144 * q^73 - 66 * q^74 - 24 * q^75 - 55 * q^76 - 24 * q^81 - 26 * q^82 - 44 * q^84 - 110 * q^86 - 198 * q^88 - 47 * q^92 - 73 * q^94 + 4 * q^96 + 53 * q^98

Introduction

L-functions

Modular forms

Varieties

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Representations

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Database

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