LMFDB - Embedded newform 4025.2.a.w.1.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [4025,2,Mod(1,4025)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(4025, base_ring=CyclotomicField(2))

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

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

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

chi := DirichletCharacter("4025.1");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 4025 = 5^{2} \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	4025.a (trivial)

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:	yes
Analytic conductor:	$32.1397868136$
Analytic rank:	$0$
Dimension:	$8$
Coefficient field:	$\mathbb{Q}[x]/(x^{8} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{8} - 3x^{7} - 6x^{6} + 19x^{5} + 12x^{4} - 34x^{3} - 12x^{2} + 17x + 7 $ x^8 - 3x^7 - 6x^6 + 19x^5 + 12x^4 - 34x^3 - 12x^2 + 17*x + 7
Coefficient ring:	$\Z[a_1, a_2]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Fricke sign:	$-1$
Sato-Tate group:	$\mathrm{SU}(2)$

Embedding invariants

Embedding label			1.4
Root			$-0.468649$ of defining polynomial
Character	$\chi$	$=$	4025.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q-0.468649 q^{2} +2.11571 q^{3} -1.78037 q^{4} -0.991526 q^{6} -1.00000 q^{7} +1.77166 q^{8} +1.47624 q^{9} +O(q^{10})$	\(q-0.468649 q^{2} +2.11571 q^{3} -1.78037 q^{4} -0.991526 q^{6} -1.00000 q^{7} +1.77166 q^{8} +1.47624 q^{9} +3.58348 q^{11} -3.76675 q^{12} +6.89853 q^{13} +0.468649 q^{14} +2.73045 q^{16} +0.420044 q^{17} -0.691839 q^{18} +2.65910 q^{19} -2.11571 q^{21} -1.67939 q^{22} -1.00000 q^{23} +3.74833 q^{24} -3.23299 q^{26} -3.22383 q^{27} +1.78037 q^{28} -6.94642 q^{29} +5.73439 q^{31} -4.82295 q^{32} +7.58162 q^{33} -0.196853 q^{34} -2.62826 q^{36} +6.78708 q^{37} -1.24618 q^{38} +14.5953 q^{39} -3.28694 q^{41} +0.991526 q^{42} -5.79264 q^{43} -6.37992 q^{44} +0.468649 q^{46} -8.95804 q^{47} +5.77685 q^{48} +1.00000 q^{49} +0.888692 q^{51} -12.2819 q^{52} +2.78942 q^{53} +1.51084 q^{54} -1.77166 q^{56} +5.62589 q^{57} +3.25543 q^{58} +7.25811 q^{59} +9.43685 q^{61} -2.68741 q^{62} -1.47624 q^{63} -3.20063 q^{64} -3.55312 q^{66} +8.05248 q^{67} -0.747833 q^{68} -2.11571 q^{69} +4.16625 q^{71} +2.61541 q^{72} -9.06899 q^{73} -3.18076 q^{74} -4.73417 q^{76} -3.58348 q^{77} -6.84007 q^{78} +1.52047 q^{79} -11.2494 q^{81} +1.54042 q^{82} -11.8815 q^{83} +3.76675 q^{84} +2.71471 q^{86} -14.6966 q^{87} +6.34873 q^{88} +1.44929 q^{89} -6.89853 q^{91} +1.78037 q^{92} +12.1323 q^{93} +4.19817 q^{94} -10.2040 q^{96} +13.5376 q^{97} -0.468649 q^{98} +5.29009 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 8 q + 3 q^{2} + 2 q^{3} + 5 q^{4} - q^{6} - 8 q^{7} + 12 q^{8}+O(q^{10}) $ 8 * q + 3 * q^2 + 2 * q^3 + 5 * q^4 - q^6 - 8 * q^7 + 12 * q^8	$ 8 q + 3 q^{2} + 2 q^{3} + 5 q^{4} - q^{6} - 8 q^{7} + 12 q^{8} - 5 q^{11} + 3 q^{12} + 9 q^{13} - 3 q^{14} - q^{16} - q^{17} + 6 q^{18} - 4 q^{19} - 2 q^{21} - 5 q^{22} - 8 q^{23} + 16 q^{24} + 22 q^{26} - q^{27} - 5 q^{28} - 5 q^{29} - q^{31} + 2 q^{32} + 12 q^{33} - 2 q^{34} + 16 q^{36} + 18 q^{37} + 14 q^{38} + 14 q^{39} - q^{41} + q^{42} + 20 q^{43} - 3 q^{46} + 10 q^{47} + 31 q^{48} + 8 q^{49} - 4 q^{51} + 11 q^{52} + 11 q^{53} + 29 q^{54} - 12 q^{56} + 8 q^{57} + 24 q^{58} + 20 q^{59} - 6 q^{61} + 2 q^{62} + 8 q^{64} - 37 q^{66} + 23 q^{67} + 9 q^{68} - 2 q^{69} + 3 q^{71} + 29 q^{72} - 8 q^{73} + 35 q^{74} - 29 q^{76} + 5 q^{77} + 31 q^{78} + 4 q^{79} - 44 q^{81} + 27 q^{82} + 4 q^{83} - 3 q^{84} - 18 q^{86} + 27 q^{87} - 4 q^{88} - 17 q^{89} - 9 q^{91} - 5 q^{92} - 7 q^{93} + 13 q^{94} + 22 q^{96} + 41 q^{97} + 3 q^{98} + 7 q^{99}+O(q^{100}) $ 8 * q + 3 * q^2 + 2 * q^3 + 5 * q^4 - q^6 - 8 * q^7 + 12 * q^8 - 5 * q^11 + 3 * q^12 + 9 * q^13 - 3 * q^14 - q^16 - q^17 + 6 * q^18 - 4 * q^19 - 2 * q^21 - 5 * q^22 - 8 * q^23 + 16 * q^24 + 22 * q^26 - q^27 - 5 * q^28 - 5 * q^29 - q^31 + 2 * q^32 + 12 * q^33 - 2 * q^34 + 16 * q^36 + 18 * q^37 + 14 * q^38 + 14 * q^39 - q^41 + q^42 + 20 * q^43 - 3 * q^46 + 10 * q^47 + 31 * q^48 + 8 * q^49 - 4 * q^51 + 11 * q^52 + 11 * q^53 + 29 * q^54 - 12 * q^56 + 8 * q^57 + 24 * q^58 + 20 * q^59 - 6 * q^61 + 2 * q^62 + 8 * q^64 - 37 * q^66 + 23 * q^67 + 9 * q^68 - 2 * q^69 + 3 * q^71 + 29 * q^72 - 8 * q^73 + 35 * q^74 - 29 * q^76 + 5 * q^77 + 31 * q^78 + 4 * q^79 - 44 * q^81 + 27 * q^82 + 4 * q^83 - 3 * q^84 - 18 * q^86 + 27 * q^87 - 4 * q^88 - 17 * q^89 - 9 * q^91 - 5 * q^92 - 7 * q^93 + 13 * q^94 + 22 * q^96 + 41 * q^97 + 3 * q^98 + 7 * q^99

Display 100 coefficients 10 coefficients

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 $

$2$	−0.468649	−0.331385	−0.165692	−	0.986178i	$-0.552986\pi$
$2$	−0.468649	−0.331385	−0.165692	+	0.986178i	$0.552986\pi$
$3$	2.11571	1.22151	0.610754	−	0.791820i	$-0.290866\pi$
$3$	2.11571	1.22151	0.610754	+	0.791820i	$0.290866\pi$
$4$	−1.78037	−0.890184
$5$	0	0
$5$	0	0
$6$	−0.991526	−0.404789
$7$	−1.00000	−0.377964
$7$	−1.00000	−0.377964
$8$	1.77166	0.626378
$9$	1.47624	0.492081
$10$	0	0
$11$	3.58348	1.08046	0.540230	−	0.841517i	$-0.318337\pi$
$11$	3.58348	1.08046	0.540230	+	0.841517i	$0.318337\pi$
$12$	−3.76675	−1.08737
$13$	6.89853	1.91331	0.956654	−	0.291226i	$-0.0940631\pi$
$13$	6.89853	1.91331	0.956654	+	0.291226i	$0.0940631\pi$
$14$	0.468649	0.125252
$15$	0	0
$16$	2.73045	0.682612
$17$	0.420044	0.101876	0.0509378	−	0.998702i	$-0.483779\pi$
$17$	0.420044	0.101876	0.0509378	+	0.998702i	$0.483779\pi$
$18$	−0.691839	−0.163068
$19$	2.65910	0.610039	0.305019	−	0.952346i	$-0.401337\pi$
$19$	2.65910	0.610039	0.305019	+	0.952346i	$0.401337\pi$
$20$	0	0
$21$	−2.11571	−0.461687
$22$	−1.67939	−0.358048
$23$	−1.00000	−0.208514
$23$	−1.00000	−0.208514
$24$	3.74833	0.765125
$25$	0	0
$26$	−3.23299	−0.634041
$27$	−3.22383	−0.620427
$28$	1.78037	0.336458
$29$	−6.94642	−1.28992	−0.644959	−	0.764217i	$-0.723126\pi$
$29$	−6.94642	−1.28992	−0.644959	+	0.764217i	$0.723126\pi$
$30$	0	0
$31$	5.73439	1.02993	0.514963	−	0.857212i	$-0.327806\pi$
$31$	5.73439	1.02993	0.514963	+	0.857212i	$0.327806\pi$
$32$	−4.82295	−0.852585
$33$	7.58162	1.31979
$34$	−0.196853	−0.0337600
$35$	0	0
$36$	−2.62826	−0.438043
$37$	6.78708	1.11579	0.557895	−	0.829912i	$-0.311609\pi$
$37$	6.78708	1.11579	0.557895	+	0.829912i	$0.311609\pi$
$38$	−1.24618	−0.202158
$39$	14.5953	2.33712
$40$	0	0
$41$	−3.28694	−0.513334	−0.256667	−	0.966500i	$-0.582624\pi$
$41$	−3.28694	−0.513334	−0.256667	+	0.966500i	$0.582624\pi$
$42$	0.991526	0.152996
$43$	−5.79264	−0.883370	−0.441685	−	0.897170i	$-0.645619\pi$
$43$	−5.79264	−0.883370	−0.441685	+	0.897170i	$0.645619\pi$
$44$	−6.37992	−0.961809
$45$	0	0
$46$	0.468649	0.0690985
$47$	−8.95804	−1.30666	−0.653332	−	0.757071i	$-0.726630\pi$
$47$	−8.95804	−1.30666	−0.653332	+	0.757071i	$0.726630\pi$
$48$	5.77685	0.833816
$49$	1.00000	0.142857
$50$	0	0
$51$	0.888692	0.124442
$52$	−12.2819	−1.70320
$53$	2.78942	0.383157	0.191578	−	0.981477i	$-0.438639\pi$
$53$	2.78942	0.383157	0.191578	+	0.981477i	$0.438639\pi$
$54$	1.51084	0.205600
$55$	0	0
$56$	−1.77166	−0.236749
$57$	5.62589	0.745167
$58$	3.25543	0.427459
$59$	7.25811	0.944925	0.472463	−	0.881351i	$-0.343365\pi$
$59$	7.25811	0.944925	0.472463	+	0.881351i	$0.343365\pi$
$60$	0	0
$61$	9.43685	1.20827	0.604133	−	0.796884i	$-0.293520\pi$
$61$	9.43685	1.20827	0.604133	+	0.796884i	$0.293520\pi$
$62$	−2.68741	−0.341302
$63$	−1.47624	−0.185989
$64$	−3.20063	−0.400079
$65$	0	0
$66$	−3.55312	−0.437358
$67$	8.05248	0.983767	0.491884	−	0.870661i	$-0.336309\pi$
$67$	8.05248	0.983767	0.491884	+	0.870661i	$0.336309\pi$
$68$	−0.747833	−0.0906880
$69$	−2.11571	−0.254702
$70$	0	0
$71$	4.16625	0.494443	0.247222	−	0.968959i	$-0.420482\pi$
$71$	4.16625	0.494443	0.247222	+	0.968959i	$0.420482\pi$
$72$	2.61541	0.308229
$73$	−9.06899	−1.06145	−0.530723	−	0.847546i	$-0.678079\pi$
$73$	−9.06899	−1.06145	−0.530723	+	0.847546i	$0.678079\pi$
$74$	−3.18076	−0.369756
$75$	0	0
$76$	−4.73417	−0.543047
$77$	−3.58348	−0.408376
$78$	−6.84007	−0.774486
$79$	1.52047	0.171066	0.0855329	−	0.996335i	$-0.472741\pi$
$79$	1.52047	0.171066	0.0855329	+	0.996335i	$0.472741\pi$
$80$	0	0
$81$	−11.2494	−1.24994
$82$	1.54042	0.170111
$83$	−11.8815	−1.30416	−0.652080	−	0.758150i	$-0.726103\pi$
$83$	−11.8815	−1.30416	−0.652080	+	0.758150i	$0.726103\pi$
$84$	3.76675	0.410986
$85$	0	0
$86$	2.71471	0.292735
$87$	−14.6966	−1.57564
$88$	6.34873	0.676777
$89$	1.44929	0.153624	0.0768122	−	0.997046i	$-0.475526\pi$
$89$	1.44929	0.153624	0.0768122	+	0.997046i	$0.475526\pi$
$90$	0	0
$91$	−6.89853	−0.723163
$92$	1.78037	0.185616
$93$	12.1323	1.25806
$94$	4.19817	0.433008
$95$	0	0
$96$	−10.2040	−1.04144
$97$	13.5376	1.37453	0.687265	−	0.726406i	$-0.258811\pi$
$97$	13.5376	1.37453	0.687265	+	0.726406i	$0.258811\pi$
$98$	−0.468649	−0.0473407
$99$	5.29009	0.531674
$100$	0	0
$101$	−10.5473	−1.04949	−0.524746	−	0.851259i	$-0.675840\pi$
$101$	−10.5473	−1.04949	−0.524746	+	0.851259i	$0.675840\pi$
$102$	−0.416484	−0.0412381
$103$	18.6355	1.83621	0.918103	−	0.396341i	$-0.129720\pi$
$103$	18.6355	1.83621	0.918103	+	0.396341i	$0.129720\pi$
$104$	12.2219	1.19845
$105$	0	0
$106$	−1.30726	−0.126972
$107$	−1.07891	−0.104302	−0.0521509	−	0.998639i	$-0.516608\pi$
$107$	−1.07891	−0.104302	−0.0521509	+	0.998639i	$0.516608\pi$
$108$	5.73961	0.552294
$109$	−0.346230	−0.0331628	−0.0165814	−	0.999863i	$-0.505278\pi$
$109$	−0.346230	−0.0331628	−0.0165814	+	0.999863i	$0.505278\pi$
$110$	0	0
$111$	14.3595	1.36295
$112$	−2.73045	−0.258003
$113$	10.2480	0.964053	0.482027	−	0.876157i	$-0.339901\pi$
$113$	10.2480	0.964053	0.482027	+	0.876157i	$0.339901\pi$
$114$	−2.63657	−0.246937
$115$	0	0
$116$	12.3672	1.14826
$117$	10.1839	0.941503
$118$	−3.40150	−0.313134
$119$	−0.420044	−0.0385054
$120$	0	0
$121$	1.84135	0.167396
$122$	−4.42257	−0.400400
$123$	−6.95423	−0.627042
$124$	−10.2093	−0.916824
$125$	0	0
$126$	0.691839	0.0616340
$127$	11.0176	0.977654	0.488827	−	0.872381i	$-0.337425\pi$
$127$	11.0176	0.977654	0.488827	+	0.872381i	$0.337425\pi$
$128$	11.1459	0.985165
$129$	−12.2556	−1.07904
$130$	0	0
$131$	9.29217	0.811860	0.405930	−	0.913904i	$-0.366948\pi$
$131$	9.29217	0.811860	0.405930	+	0.913904i	$0.366948\pi$
$132$	−13.4981	−1.17486
$133$	−2.65910	−0.230573
$134$	−3.77378	−0.326005
$135$	0	0
$136$	0.744177	0.0638126
$137$	18.8409	1.60969	0.804845	−	0.593486i	$-0.202249\pi$
$137$	18.8409	1.60969	0.804845	+	0.593486i	$0.202249\pi$
$138$	0.991526	0.0844043
$139$	8.10687	0.687616	0.343808	−	0.939040i	$-0.388283\pi$
$139$	8.10687	0.687616	0.343808	+	0.939040i	$0.388283\pi$
$140$	0	0
$141$	−18.9526	−1.59610
$142$	−1.95251	−0.163851
$143$	24.7208	2.06726
$144$	4.03081	0.335901
$145$	0	0
$146$	4.25017	0.351747
$147$	2.11571	0.174501
$148$	−12.0835	−0.993259
$149$	−4.61853	−0.378364	−0.189182	−	0.981942i	$-0.560584\pi$
$149$	−4.61853	−0.378364	−0.189182	+	0.981942i	$0.560584\pi$
$150$	0	0
$151$	−13.0505	−1.06203	−0.531017	−	0.847361i	$-0.678190\pi$
$151$	−13.0505	−1.06203	−0.531017	+	0.847361i	$0.678190\pi$
$152$	4.71103	0.382115
$153$	0.620087	0.0501311
$154$	1.67939	0.135329
$155$	0	0
$156$	−25.9850	−2.08047
$157$	−17.3824	−1.38727	−0.693635	−	0.720327i	$-0.743992\pi$
$157$	−17.3824	−1.38727	−0.693635	+	0.720327i	$0.743992\pi$
$158$	−0.712564	−0.0566886
$159$	5.90162	0.468029
$160$	0	0
$161$	1.00000	0.0788110
$162$	5.27203	0.414210
$163$	15.4625	1.21111	0.605557	−	0.795802i	$-0.292950\pi$
$163$	15.4625	1.21111	0.605557	+	0.795802i	$0.292950\pi$
$164$	5.85197	0.456962
$165$	0	0
$166$	5.56823	0.432178
$167$	16.0265	1.24017	0.620084	−	0.784536i	$-0.287099\pi$
$167$	16.0265	1.24017	0.620084	+	0.784536i	$0.287099\pi$
$168$	−3.74833	−0.289190
$169$	34.5897	2.66075
$170$	0	0
$171$	3.92548	0.300189
$172$	10.3130	0.786362
$173$	20.5256	1.56053	0.780265	−	0.625449i	$-0.215084\pi$
$173$	20.5256	1.56053	0.780265	+	0.625449i	$0.215084\pi$
$174$	6.88756	0.522144
$175$	0	0
$176$	9.78452	0.737536
$177$	15.3561	1.15423
$178$	−0.679207	−0.0509088
$179$	−1.00356	−0.0750097	−0.0375048	−	0.999296i	$-0.511941\pi$
$179$	−1.00356	−0.0750097	−0.0375048	+	0.999296i	$0.511941\pi$
$180$	0	0
$181$	13.1510	0.977504	0.488752	−	0.872423i	$-0.337452\pi$
$181$	13.1510	0.977504	0.488752	+	0.872423i	$0.337452\pi$
$182$	3.23299	0.239645
$183$	19.9657	1.47591
$184$	−1.77166	−0.130609
$185$	0	0
$186$	−5.68580	−0.416903
$187$	1.50522	0.110073
$188$	15.9486	1.16317
$189$	3.22383	0.234499
$190$	0	0
$191$	−19.4056	−1.40414	−0.702070	−	0.712108i	$-0.747741\pi$
$191$	−19.4056	−1.40414	−0.702070	+	0.712108i	$0.747741\pi$
$192$	−6.77162	−0.488699
$193$	−6.42174	−0.462247	−0.231123	−	0.972924i	$-0.574240\pi$
$193$	−6.42174	−0.462247	−0.231123	+	0.972924i	$0.574240\pi$
$194$	−6.34436	−0.455498
$195$	0	0
$196$	−1.78037	−0.127169
$197$	−17.4272	−1.24164	−0.620818	−	0.783955i	$-0.713199\pi$
$197$	−17.4272	−1.24164	−0.620818	+	0.783955i	$0.713199\pi$
$198$	−2.47920	−0.176189
$199$	−12.7564	−0.904275	−0.452137	−	0.891948i	$-0.649338\pi$
$199$	−12.7564	−0.904275	−0.452137	+	0.891948i	$0.649338\pi$
$200$	0	0
$201$	17.0367	1.20168
$202$	4.94296	0.347786
$203$	6.94642	0.487543
$204$	−1.58220	−0.110776
$205$	0	0
$206$	−8.73348	−0.608490
$207$	−1.47624	−0.102606
$208$	18.8361	1.30605
$209$	9.52883	0.659123
$210$	0	0
$211$	19.8151	1.36413	0.682063	−	0.731293i	$-0.261083\pi$
$211$	19.8151	1.36413	0.682063	+	0.731293i	$0.261083\pi$
$212$	−4.96620	−0.341080
$213$	8.81460	0.603966
$214$	0.505628	0.0345640
$215$	0	0
$216$	−5.71155	−0.388622
$217$	−5.73439	−0.389276
$218$	0.162260	0.0109896
$219$	−19.1874	−1.29656
$220$	0	0
$221$	2.89769	0.194919
$222$	−6.72957	−0.451659
$223$	−14.5647	−0.975322	−0.487661	−	0.873033i	$-0.662150\pi$
$223$	−14.5647	−0.975322	−0.487661	+	0.873033i	$0.662150\pi$
$224$	4.82295	0.322247
$225$	0	0
$226$	−4.80272	−0.319472
$227$	11.3504	0.753354	0.376677	−	0.926345i	$-0.377067\pi$
$227$	11.3504	0.753354	0.376677	+	0.926345i	$0.377067\pi$
$228$	−10.0162	−0.663336
$229$	5.87751	0.388397	0.194198	−	0.980962i	$-0.437789\pi$
$229$	5.87751	0.388397	0.194198	+	0.980962i	$0.437789\pi$
$230$	0	0
$231$	−7.58162	−0.498834
$232$	−12.3067	−0.807976
$233$	22.8173	1.49481	0.747407	−	0.664367i	$-0.231299\pi$
$233$	22.8173	1.49481	0.747407	+	0.664367i	$0.231299\pi$
$234$	−4.77268	−0.312000
$235$	0	0
$236$	−12.9221	−0.841158
$237$	3.21687	0.208958
$238$	0.196853	0.0127601
$239$	1.00632	0.0650937	0.0325469	−	0.999470i	$-0.489638\pi$
$239$	1.00632	0.0650937	0.0325469	+	0.999470i	$0.489638\pi$
$240$	0	0
$241$	−24.4564	−1.57538	−0.787688	−	0.616075i	$-0.788722\pi$
$241$	−24.4564	−1.57538	−0.787688	+	0.616075i	$0.788722\pi$
$242$	−0.862947	−0.0554723
$243$	−14.1291	−0.906381
$244$	−16.8011	−1.07558
$245$	0	0
$246$	3.25909	0.207792
$247$	18.3439	1.16719
$248$	10.1594	0.645123
$249$	−25.1378	−1.59304
$250$	0	0
$251$	−29.4693	−1.86008	−0.930042	−	0.367454i	$-0.880230\pi$
$251$	−29.4693	−1.86008	−0.930042	+	0.367454i	$0.880230\pi$
$252$	2.62826	0.165565
$253$	−3.58348	−0.225292
$254$	−5.16338	−0.323980
$255$	0	0
$256$	1.17776	0.0736103
$257$	29.5809	1.84520	0.922601	−	0.385755i	$-0.126059\pi$
$257$	29.5809	1.84520	0.922601	+	0.385755i	$0.126059\pi$
$258$	5.74356	0.357578
$259$	−6.78708	−0.421729
$260$	0	0
$261$	−10.2546	−0.634744
$262$	−4.35476	−0.269038
$263$	−10.0203	−0.617876	−0.308938	−	0.951082i	$-0.599974\pi$
$263$	−10.0203	−0.617876	−0.308938	+	0.951082i	$0.599974\pi$
$264$	13.4321	0.826688
$265$	0	0
$266$	1.24618	0.0764084
$267$	3.06628	0.187653
$268$	−14.3364	−0.875734
$269$	−1.71323	−0.104458	−0.0522289	−	0.998635i	$-0.516633\pi$
$269$	−1.71323	−0.104458	−0.0522289	+	0.998635i	$0.516633\pi$
$270$	0	0
$271$	2.97090	0.180470	0.0902348	−	0.995921i	$-0.471238\pi$
$271$	2.97090	0.180470	0.0902348	+	0.995921i	$0.471238\pi$
$272$	1.14691	0.0695415
$273$	−14.5953	−0.883349
$274$	−8.82977	−0.533426
$275$	0	0
$276$	3.76675	0.226732
$277$	15.2326	0.915239	0.457619	−	0.889148i	$-0.348702\pi$
$277$	15.2326	0.915239	0.457619	+	0.889148i	$0.348702\pi$
$278$	−3.79927	−0.227865
$279$	8.46535	0.506807
$280$	0	0
$281$	−9.81982	−0.585802	−0.292901	−	0.956143i	$-0.594621\pi$
$281$	−9.81982	−0.585802	−0.292901	+	0.956143i	$0.594621\pi$
$282$	8.88213	0.528923
$283$	−12.3038	−0.731385	−0.365693	−	0.930736i	$-0.619168\pi$
$283$	−12.3038	−0.731385	−0.365693	+	0.930736i	$0.619168\pi$
$284$	−7.41746	−0.440146
$285$	0	0
$286$	−11.5854	−0.685056
$287$	3.28694	0.194022
$288$	−7.11985	−0.419541
$289$	−16.8236	−0.989621
$290$	0	0
$291$	28.6416	1.67900
$292$	16.1461	0.944882
$293$	−29.6961	−1.73487	−0.867433	−	0.497554i	$-0.834231\pi$
$293$	−29.6961	−1.73487	−0.867433	+	0.497554i	$0.834231\pi$
$294$	−0.991526	−0.0578270
$295$	0	0
$296$	12.0244	0.698906
$297$	−11.5525	−0.670347
$298$	2.16447	0.125384
$299$	−6.89853	−0.398952
$300$	0	0
$301$	5.79264	0.333882
$302$	6.11609	0.351941
$303$	−22.3150	−1.28196
$304$	7.26053	0.416420
$305$	0	0
$306$	−0.290603	−0.0166127
$307$	19.6371	1.12075	0.560373	−	0.828240i	$-0.310658\pi$
$307$	19.6371	1.12075	0.560373	+	0.828240i	$0.310658\pi$
$308$	6.37992	0.363530
$309$	39.4273	2.24294
$310$	0	0
$311$	3.66341	0.207733	0.103867	−	0.994591i	$-0.466879\pi$
$311$	3.66341	0.207733	0.103867	+	0.994591i	$0.466879\pi$
$312$	25.8580	1.46392
$313$	6.80089	0.384409	0.192205	−	0.981355i	$-0.438436\pi$
$313$	6.80089	0.384409	0.192205	+	0.981355i	$0.438436\pi$
$314$	8.14626	0.459720
$315$	0	0
$316$	−2.70699	−0.152280
$317$	17.8029	0.999912	0.499956	−	0.866051i	$-0.333350\pi$
$317$	17.8029	0.999912	0.499956	+	0.866051i	$0.333350\pi$
$318$	−2.76579	−0.155098
$319$	−24.8924	−1.39371
$320$	0	0
$321$	−2.28266	−0.127406
$322$	−0.468649	−0.0261168
$323$	1.11694	0.0621481
$324$	20.0281	1.11267
$325$	0	0
$326$	−7.24647	−0.401345
$327$	−0.732524	−0.0405086
$328$	−5.82336	−0.321541
$329$	8.95804	0.493873
$330$	0	0
$331$	10.1866	0.559905	0.279953	−	0.960014i	$-0.409681\pi$
$331$	10.1866	0.559905	0.279953	+	0.960014i	$0.409681\pi$
$332$	21.1534	1.16094
$333$	10.0194	0.549059
$334$	−7.51080	−0.410972
$335$	0	0
$336$	−5.77685	−0.315153
$337$	−0.374052	−0.0203759	−0.0101880	−	0.999948i	$-0.503243\pi$
$337$	−0.374052	−0.0203759	−0.0101880	+	0.999948i	$0.503243\pi$
$338$	−16.2104	−0.881731
$339$	21.6819	1.17760
$340$	0	0
$341$	20.5491	1.11280
$342$	−1.83967	−0.0994779
$343$	−1.00000	−0.0539949
$344$	−10.2626	−0.553323
$345$	0	0
$346$	−9.61927	−0.517135
$347$	9.65233	0.518164	0.259082	−	0.965855i	$-0.416580\pi$
$347$	9.65233	0.518164	0.259082	+	0.965855i	$0.416580\pi$
$348$	26.1654	1.40261
$349$	−20.2450	−1.08369	−0.541846	−	0.840478i	$-0.682274\pi$
$349$	−20.2450	−1.08369	−0.541846	+	0.840478i	$0.682274\pi$
$350$	0	0
$351$	−22.2397	−1.18707
$352$	−17.2830	−0.921185
$353$	−2.97026	−0.158091	−0.0790456	−	0.996871i	$-0.525187\pi$
$353$	−2.97026	−0.158091	−0.0790456	+	0.996871i	$0.525187\pi$
$354$	−7.19661	−0.382495
$355$	0	0
$356$	−2.58027	−0.136754
$357$	−0.888692	−0.0470346
$358$	0.470318	0.0248571
$359$	6.16920	0.325598	0.162799	−	0.986659i	$-0.447948\pi$
$359$	6.16920	0.325598	0.162799	+	0.986659i	$0.447948\pi$
$360$	0	0
$361$	−11.9292	−0.627852
$362$	−6.16319	−0.323930
$363$	3.89577	0.204475
$364$	12.2819	0.643748
$365$	0	0
$366$	−9.35688	−0.489092
$367$	0.408152	0.0213054	0.0106527	−	0.999943i	$-0.496609\pi$
$367$	0.408152	0.0213054	0.0106527	+	0.999943i	$0.496609\pi$
$368$	−2.73045	−0.142335
$369$	−4.85233	−0.252602
$370$	0	0
$371$	−2.78942	−0.144820
$372$	−21.6000	−1.11991
$373$	−6.73767	−0.348864	−0.174432	−	0.984669i	$-0.555809\pi$
$373$	−6.73767	−0.348864	−0.174432	+	0.984669i	$0.555809\pi$
$374$	−0.705419	−0.0364764
$375$	0	0
$376$	−15.8706	−0.818466
$377$	−47.9201	−2.46801
$378$	−1.51084	−0.0777094
$379$	−19.4670	−0.999951	−0.499976	−	0.866039i	$-0.666658\pi$
$379$	−19.4670	−0.999951	−0.499976	+	0.866039i	$0.666658\pi$
$380$	0	0
$381$	23.3101	1.19421
$382$	9.09441	0.465310
$383$	−7.99763	−0.408660	−0.204330	−	0.978902i	$-0.565502\pi$
$383$	−7.99763	−0.408660	−0.204330	+	0.978902i	$0.565502\pi$
$384$	23.5815	1.20339
$385$	0	0
$386$	3.00954	0.153181
$387$	−8.55135	−0.434690
$388$	−24.1018	−1.22359
$389$	4.23317	0.214630	0.107315	−	0.994225i	$-0.465775\pi$
$389$	4.23317	0.214630	0.107315	+	0.994225i	$0.465775\pi$
$390$	0	0
$391$	−0.420044	−0.0212425
$392$	1.77166	0.0894826
$393$	19.6596	0.991694
$394$	8.16723	0.411459
$395$	0	0
$396$	−9.41832	−0.473288
$397$	−21.9611	−1.10219	−0.551097	−	0.834441i	$-0.685791\pi$
$397$	−21.9611	−1.10219	−0.551097	+	0.834441i	$0.685791\pi$
$398$	5.97825	0.299663
$399$	−5.62589	−0.281647
$400$	0	0
$401$	−15.1115	−0.754632	−0.377316	−	0.926085i	$-0.623153\pi$
$401$	−15.1115	−0.754632	−0.377316	+	0.926085i	$0.623153\pi$
$402$	−7.98425	−0.398218
$403$	39.5589	1.97057
$404$	18.7780	0.934242
$405$	0	0
$406$	−3.25543	−0.161564
$407$	24.3214	1.20557
$408$	1.57446	0.0779476
$409$	−30.6057	−1.51336	−0.756678	−	0.653788i	$-0.773179\pi$
$409$	−30.6057	−1.51336	−0.756678	+	0.653788i	$0.773179\pi$
$410$	0	0
$411$	39.8620	1.96625
$412$	−33.1780	−1.63456
$413$	−7.25811	−0.357148
$414$	0.691839	0.0340021
$415$	0	0
$416$	−33.2713	−1.63126
$417$	17.1518	0.839928
$418$	−4.46567	−0.218423
$419$	26.7534	1.30699	0.653494	−	0.756931i	$-0.273302\pi$
$419$	26.7534	1.30699	0.653494	+	0.756931i	$0.273302\pi$
$420$	0	0
$421$	2.81223	0.137060	0.0685298	−	0.997649i	$-0.478169\pi$
$421$	2.81223	0.137060	0.0685298	+	0.997649i	$0.478169\pi$
$422$	−9.28631	−0.452050
$423$	−13.2243	−0.642985
$424$	4.94192	0.240001
$425$	0	0
$426$	−4.13095	−0.200145
$427$	−9.43685	−0.456681
$428$	1.92085	0.0928479
$429$	52.3021	2.52517
$430$	0	0
$431$	8.67394	0.417809	0.208904	−	0.977936i	$-0.433010\pi$
$431$	8.67394	0.417809	0.208904	+	0.977936i	$0.433010\pi$
$432$	−8.80251	−0.423511
$433$	−10.3312	−0.496484	−0.248242	−	0.968698i	$-0.579853\pi$
$433$	−10.3312	−0.496484	−0.248242	+	0.968698i	$0.579853\pi$
$434$	2.68741	0.129000
$435$	0	0
$436$	0.616417	0.0295210
$437$	−2.65910	−0.127202
$438$	8.99214	0.429661
$439$	−11.7375	−0.560198	−0.280099	−	0.959971i	$-0.590367\pi$
$439$	−11.7375	−0.560198	−0.280099	+	0.959971i	$0.590367\pi$
$440$	0	0
$441$	1.47624	0.0702973
$442$	−1.35800	−0.0645933
$443$	−9.44848	−0.448911	−0.224456	−	0.974484i	$-0.572060\pi$
$443$	−9.44848	−0.448911	−0.224456	+	0.974484i	$0.572060\pi$
$444$	−25.5652	−1.21327
$445$	0	0
$446$	6.82571	0.323207
$447$	−9.77148	−0.462175
$448$	3.20063	0.151216
$449$	26.4313	1.24737	0.623684	−	0.781677i	$-0.285635\pi$
$449$	26.4313	1.24737	0.623684	+	0.781677i	$0.285635\pi$
$450$	0	0
$451$	−11.7787	−0.554637
$452$	−18.2453	−0.858185
$453$	−27.6111	−1.29728
$454$	−5.31936	−0.249650
$455$	0	0
$456$	9.96719	0.466756
$457$	−36.8867	−1.72549	−0.862744	−	0.505640i	$-0.831256\pi$
$457$	−36.8867	−1.72549	−0.862744	+	0.505640i	$0.831256\pi$
$458$	−2.75449	−0.128709
$459$	−1.35415	−0.0632063
$460$	0	0
$461$	−29.3749	−1.36813	−0.684064	−	0.729422i	$-0.739789\pi$
$461$	−29.3749	−1.36813	−0.684064	+	0.729422i	$0.739789\pi$
$462$	3.55312	0.165306
$463$	20.1614	0.936981	0.468491	−	0.883468i	$-0.344798\pi$
$463$	20.1614	0.936981	0.468491	+	0.883468i	$0.344798\pi$
$464$	−18.9668	−0.880514
$465$	0	0
$466$	−10.6933	−0.495358
$467$	−22.9074	−1.06003	−0.530013	−	0.847989i	$-0.677813\pi$
$467$	−22.9074	−1.06003	−0.530013	+	0.847989i	$0.677813\pi$
$468$	−18.1311	−0.838111
$469$	−8.05248	−0.371829
$470$	0	0
$471$	−36.7763	−1.69456
$472$	12.8589	0.591880
$473$	−20.7578	−0.954447
$474$	−1.50758	−0.0692455
$475$	0	0
$476$	0.747833	0.0342769
$477$	4.11787	0.188544
$478$	−0.471613	−0.0215711
$479$	−6.11321	−0.279320	−0.139660	−	0.990200i	$-0.544601\pi$
$479$	−6.11321	−0.279320	−0.139660	+	0.990200i	$0.544601\pi$
$480$	0	0
$481$	46.8209	2.13485
$482$	11.4615	0.522055
$483$	2.11571	0.0962683
$484$	−3.27828	−0.149013
$485$	0	0
$486$	6.62158	0.300361
$487$	20.3633	0.922749	0.461375	−	0.887205i	$-0.347356\pi$
$487$	20.3633	0.922749	0.461375	+	0.887205i	$0.347356\pi$
$488$	16.7189	0.756831
$489$	32.7142	1.47939
$490$	0	0
$491$	−18.0443	−0.814327	−0.407164	−	0.913355i	$-0.633482\pi$
$491$	−18.0443	−0.814327	−0.407164	+	0.913355i	$0.633482\pi$
$492$	12.3811	0.558183
$493$	−2.91780	−0.131411
$494$	−8.59683	−0.386790
$495$	0	0
$496$	15.6575	0.703040
$497$	−4.16625	−0.186882
$498$	11.7808	0.527909
$499$	−10.9614	−0.490701	−0.245350	−	0.969434i	$-0.578903\pi$
$499$	−10.9614	−0.490701	−0.245350	+	0.969434i	$0.578903\pi$
$500$	0	0
$501$	33.9075	1.51487
$502$	13.8107	0.616403
$503$	9.20443	0.410405	0.205203	−	0.978720i	$-0.434215\pi$
$503$	9.20443	0.410405	0.205203	+	0.978720i	$0.434215\pi$
$504$	−2.61541	−0.116500
$505$	0	0
$506$	1.67939	0.0746582
$507$	73.1820	3.25013
$508$	−19.6154	−0.870292
$509$	−5.81939	−0.257940	−0.128970	−	0.991649i	$-0.541167\pi$
$509$	−5.81939	−0.257940	−0.128970	+	0.991649i	$0.541167\pi$
$510$	0	0
$511$	9.06899	0.401189
$512$	−22.8437	−1.00956
$513$	−8.57249	−0.378485
$514$	−13.8630	−0.611472
$515$	0	0
$516$	21.8194	0.960547
$517$	−32.1010	−1.41180
$518$	3.18076	0.139754
$519$	43.4262	1.90620
$520$	0	0
$521$	−20.8689	−0.914283	−0.457142	−	0.889394i	$-0.651127\pi$
$521$	−20.8689	−0.914283	−0.457142	+	0.889394i	$0.651127\pi$
$522$	4.80581	0.210344
$523$	19.1723	0.838346	0.419173	−	0.907906i	$-0.362320\pi$
$523$	19.1723	0.838346	0.419173	+	0.907906i	$0.362320\pi$
$524$	−16.5435	−0.722705
$525$	0	0
$526$	4.69598	0.204754
$527$	2.40869	0.104924
$528$	20.7012	0.900906
$529$	1.00000	0.0434783
$530$	0	0
$531$	10.7147	0.464980
$532$	4.73417	0.205253
$533$	−22.6751	−0.982167
$534$	−1.43701	−0.0621854
$535$	0	0
$536$	14.2663	0.616210
$537$	−2.12325	−0.0916249
$538$	0.802905	0.0346157
$539$	3.58348	0.154352
$540$	0	0
$541$	31.7366	1.36446	0.682230	−	0.731137i	$-0.261010\pi$
$541$	31.7366	1.36446	0.682230	+	0.731137i	$0.261010\pi$
$542$	−1.39231	−0.0598048
$543$	27.8237	1.19403
$544$	−2.02585	−0.0868576
$545$	0	0
$546$	6.84007	0.292728
$547$	−3.03098	−0.129596	−0.0647978	−	0.997898i	$-0.520640\pi$
$547$	−3.03098	−0.129596	−0.0647978	+	0.997898i	$0.520640\pi$
$548$	−33.5438	−1.43292
$549$	13.9311	0.594565
$550$	0	0
$551$	−18.4712	−0.786900
$552$	−3.74833	−0.159540
$553$	−1.52047	−0.0646568
$554$	−7.13874	−0.303296
$555$	0	0
$556$	−14.4332	−0.612105
$557$	45.2348	1.91666	0.958330	−	0.285663i	$-0.0922138\pi$
$557$	45.2348	1.91666	0.958330	+	0.285663i	$0.0922138\pi$
$558$	−3.96728	−0.167948
$559$	−39.9607	−1.69016
$560$	0	0
$561$	3.18461	0.134455
$562$	4.60205	0.194126
$563$	−22.6523	−0.954680	−0.477340	−	0.878719i	$-0.658399\pi$
$563$	−22.6523	−0.954680	−0.477340	+	0.878719i	$0.658399\pi$
$564$	33.7427	1.42082
$565$	0	0
$566$	5.76616	0.242370
$567$	11.2494	0.472432
$568$	7.38120	0.309708
$569$	−39.9527	−1.67490	−0.837452	−	0.546510i	$-0.815956\pi$
$569$	−39.9527	−1.67490	−0.837452	+	0.546510i	$0.815956\pi$
$570$	0	0
$571$	23.4659	0.982017	0.491008	−	0.871155i	$-0.336628\pi$
$571$	23.4659	0.982017	0.491008	+	0.871155i	$0.336628\pi$
$572$	−44.0121	−1.84024
$573$	−41.0567	−1.71517
$574$	−1.54042	−0.0642959
$575$	0	0
$576$	−4.72491	−0.196871
$577$	−28.3755	−1.18129	−0.590643	−	0.806933i	$-0.701126\pi$
$577$	−28.3755	−1.18129	−0.590643	+	0.806933i	$0.701126\pi$
$578$	7.88434	0.327945
$579$	−13.5866	−0.564638
$580$	0	0
$581$	11.8815	0.492926
$582$	−13.4228	−0.556395
$583$	9.99585	0.413986
$584$	−16.0672	−0.664866
$585$	0	0
$586$	13.9170	0.574908
$587$	−39.7841	−1.64207	−0.821033	−	0.570880i	$-0.806602\pi$
$587$	−39.7841	−1.64207	−0.821033	+	0.570880i	$0.806602\pi$
$588$	−3.76675	−0.155338
$589$	15.2483	0.628295
$590$	0	0
$591$	−36.8710	−1.51667
$592$	18.5318	0.761652
$593$	18.7947	0.771804	0.385902	−	0.922540i	$-0.373890\pi$
$593$	18.7947	0.771804	0.385902	+	0.922540i	$0.373890\pi$
$594$	5.41408	0.222143
$595$	0	0
$596$	8.22268	0.336814
$597$	−26.9888	−1.10458
$598$	3.23299	0.132207
$599$	30.1965	1.23380	0.616898	−	0.787043i	$-0.288389\pi$
$599$	30.1965	1.23380	0.616898	+	0.787043i	$0.288389\pi$
$600$	0	0
$601$	30.6371	1.24971	0.624857	−	0.780739i	$-0.285157\pi$
$601$	30.6371	1.24971	0.624857	+	0.780739i	$0.285157\pi$
$602$	−2.71471	−0.110643
$603$	11.8874	0.484093
$604$	23.2347	0.945405
$605$	0	0
$606$	10.4579	0.424823
$607$	20.7987	0.844195	0.422098	−	0.906550i	$-0.361294\pi$
$607$	20.7987	0.844195	0.422098	+	0.906550i	$0.361294\pi$
$608$	−12.8247	−0.520110
$609$	14.6966	0.595538
$610$	0	0
$611$	−61.7973	−2.50005
$612$	−1.10398	−0.0446259
$613$	15.4567	0.624292	0.312146	−	0.950034i	$-0.398952\pi$
$613$	15.4567	0.624292	0.312146	+	0.950034i	$0.398952\pi$
$614$	−9.20288	−0.371398
$615$	0	0
$616$	−6.34873	−0.255798
$617$	−36.7666	−1.48017	−0.740085	−	0.672514i	$-0.765215\pi$
$617$	−36.7666	−1.48017	−0.740085	+	0.672514i	$0.765215\pi$
$618$	−18.4775	−0.743276
$619$	8.11960	0.326354	0.163177	−	0.986597i	$-0.447826\pi$
$619$	8.11960	0.326354	0.163177	+	0.986597i	$0.447826\pi$
$620$	0	0
$621$	3.22383	0.129368
$622$	−1.71685	−0.0688395
$623$	−1.44929	−0.0580646
$624$	39.8518	1.59535
$625$	0	0
$626$	−3.18723	−0.127387
$627$	20.1603	0.805124
$628$	30.9472	1.23493
$629$	2.85087	0.113672
$630$	0	0
$631$	11.1492	0.443843	0.221921	−	0.975065i	$-0.428767\pi$
$631$	11.1492	0.443843	0.221921	+	0.975065i	$0.428767\pi$
$632$	2.69376	0.107152
$633$	41.9230	1.66629
$634$	−8.34331	−0.331355
$635$	0	0
$636$	−10.5071	−0.416632
$637$	6.89853	0.273330
$638$	11.6658	0.461853
$639$	6.15040	0.243306
$640$	0	0
$641$	17.6366	0.696606	0.348303	−	0.937382i	$-0.386758\pi$
$641$	17.6366	0.696606	0.348303	+	0.937382i	$0.386758\pi$
$642$	1.06976	0.0422202
$643$	−10.9442	−0.431599	−0.215799	−	0.976438i	$-0.569236\pi$
$643$	−10.9442	−0.431599	−0.215799	+	0.976438i	$0.569236\pi$
$644$	−1.78037	−0.0701563
$645$	0	0
$646$	−0.523451	−0.0205949
$647$	−21.6672	−0.851824	−0.425912	−	0.904765i	$-0.640047\pi$
$647$	−21.6672	−0.851824	−0.425912	+	0.904765i	$0.640047\pi$
$648$	−19.9302	−0.782933
$649$	26.0093	1.02095
$650$	0	0
$651$	−12.1323	−0.475503
$652$	−27.5289	−1.07812
$653$	38.3530	1.50087	0.750435	−	0.660944i	$-0.229844\pi$
$653$	38.3530	1.50087	0.750435	+	0.660944i	$0.229844\pi$
$654$	0.343296	0.0134239
$655$	0	0
$656$	−8.97483	−0.350408
$657$	−13.3880	−0.522317
$658$	−4.19817	−0.163662
$659$	−10.6362	−0.414329	−0.207164	−	0.978306i	$-0.566423\pi$
$659$	−10.6362	−0.414329	−0.207164	+	0.978306i	$0.566423\pi$
$660$	0	0
$661$	20.6537	0.803336	0.401668	−	0.915785i	$-0.368431\pi$
$661$	20.6537	0.803336	0.401668	+	0.915785i	$0.368431\pi$
$662$	−4.77393	−0.185544
$663$	6.13067	0.238096
$664$	−21.0500	−0.816897
$665$	0	0
$666$	−4.69557	−0.181950
$667$	6.94642	0.268966
$668$	−28.5331	−1.10398
$669$	−30.8147	−1.19136
$670$	0	0
$671$	33.8168	1.30548
$672$	10.2040	0.393627
$673$	16.7013	0.643787	0.321893	−	0.946776i	$-0.395681\pi$
$673$	16.7013	0.643787	0.321893	+	0.946776i	$0.395681\pi$
$674$	0.175299	0.00675226
$675$	0	0
$676$	−61.5825	−2.36856
$677$	19.4929	0.749174	0.374587	−	0.927192i	$-0.377784\pi$
$677$	19.4929	0.749174	0.374587	+	0.927192i	$0.377784\pi$
$678$	−10.1612	−0.390238
$679$	−13.5376	−0.519524
$680$	0	0
$681$	24.0142	0.920228
$682$	−9.63030	−0.368763
$683$	−40.4570	−1.54804	−0.774021	−	0.633159i	$-0.781758\pi$
$683$	−40.4570	−1.54804	−0.774021	+	0.633159i	$0.781758\pi$
$684$	−6.98880	−0.267223
$685$	0	0
$686$	0.468649	0.0178931
$687$	12.4351	0.474430
$688$	−15.8165	−0.602999
$689$	19.2429	0.733097
$690$	0	0
$691$	13.2745	0.504986	0.252493	−	0.967599i	$-0.418750\pi$
$691$	13.2745	0.504986	0.252493	+	0.967599i	$0.418750\pi$
$692$	−36.5431	−1.38916
$693$	−5.29009	−0.200954
$694$	−4.52355	−0.171712
$695$	0	0
$696$	−26.0375	−0.986949
$697$	−1.38066	−0.0522962
$698$	9.48781	0.359119
$699$	48.2749	1.82593
$700$	0	0
$701$	26.5760	1.00376	0.501882	−	0.864936i	$-0.332641\pi$
$701$	26.5760	1.00376	0.501882	+	0.864936i	$0.332641\pi$
$702$	10.4226	0.393376
$703$	18.0475	0.680675
$704$	−11.4694	−0.432269
$705$	0	0
$706$	1.39201	0.0523890
$707$	10.5473	0.396671
$708$	−27.3395	−1.02748
$709$	−29.5847	−1.11108	−0.555539	−	0.831490i	$-0.687488\pi$
$709$	−29.5847	−1.11108	−0.555539	+	0.831490i	$0.687488\pi$
$710$	0	0
$711$	2.24458	0.0841783
$712$	2.56765	0.0962269
$713$	−5.73439	−0.214755
$714$	0.416484	0.0155865
$715$	0	0
$716$	1.78671	0.0667724
$717$	2.12909	0.0795125
$718$	−2.89119	−0.107898
$719$	−19.2459	−0.717750	−0.358875	−	0.933386i	$-0.616840\pi$
$719$	−19.2459	−0.717750	−0.358875	+	0.933386i	$0.616840\pi$
$720$	0	0
$721$	−18.6355	−0.694021
$722$	5.59060	0.208061
$723$	−51.7427	−1.92433
$724$	−23.4136	−0.870159
$725$	0	0
$726$	−1.82575	−0.0677599
$727$	22.1297	0.820746	0.410373	−	0.911918i	$-0.365398\pi$
$727$	22.1297	0.820746	0.410373	+	0.911918i	$0.365398\pi$
$728$	−12.2219	−0.452973
$729$	3.85521	0.142785
$730$	0	0
$731$	−2.43316	−0.0899938
$732$	−35.5463	−1.31383
$733$	−11.9368	−0.440894	−0.220447	−	0.975399i	$-0.570752\pi$
$733$	−11.9368	−0.440894	−0.220447	+	0.975399i	$0.570752\pi$
$734$	−0.191280	−0.00706027
$735$	0	0
$736$	4.82295	0.177776
$737$	28.8559	1.06292
$738$	2.27404	0.0837084
$739$	15.0798	0.554718	0.277359	−	0.960766i	$-0.410541\pi$
$739$	15.0798	0.554718	0.277359	+	0.960766i	$0.410541\pi$
$740$	0	0
$741$	38.8104	1.42574
$742$	1.30726	0.0479910
$743$	1.69197	0.0620722	0.0310361	−	0.999518i	$-0.490119\pi$
$743$	1.69197	0.0620722	0.0310361	+	0.999518i	$0.490119\pi$
$744$	21.4944	0.788023
$745$	0	0
$746$	3.15760	0.115608
$747$	−17.5399	−0.641752
$748$	−2.67985	−0.0979849
$749$	1.07891	0.0394224
$750$	0	0
$751$	39.0906	1.42644	0.713218	−	0.700942i	$-0.247237\pi$
$751$	39.0906	1.42644	0.713218	+	0.700942i	$0.247237\pi$
$752$	−24.4595	−0.891945
$753$	−62.3485	−2.27211
$754$	22.4577	0.817861
$755$	0	0
$756$	−5.73961	−0.208748
$757$	52.9033	1.92280	0.961402	−	0.275147i	$-0.0887266\pi$
$757$	52.9033	1.92280	0.961402	+	0.275147i	$0.0887266\pi$
$758$	9.12317	0.331368
$759$	−7.58162	−0.275196
$760$	0	0
$761$	37.7702	1.36917	0.684584	−	0.728934i	$-0.259984\pi$
$761$	37.7702	1.36917	0.684584	+	0.728934i	$0.259984\pi$
$762$	−10.9242	−0.395743
$763$	0.346230	0.0125344
$764$	34.5491	1.24994
$765$	0	0
$766$	3.74808	0.135424
$767$	50.0703	1.80793
$768$	2.49181	0.0899155
$769$	−50.5786	−1.82391	−0.911955	−	0.410291i	$-0.865427\pi$
$769$	−50.5786	−1.82391	−0.911955	+	0.410291i	$0.865427\pi$
$770$	0	0
$771$	62.5846	2.25393
$772$	11.4331	0.411485
$773$	−15.1553	−0.545097	−0.272548	−	0.962142i	$-0.587866\pi$
$773$	−15.1553	−0.545097	−0.272548	+	0.962142i	$0.587866\pi$
$774$	4.00758	0.144049
$775$	0	0
$776$	23.9840	0.860976
$777$	−14.3595	−0.515145
$778$	−1.98387	−0.0711251
$779$	−8.74030	−0.313154
$780$	0	0
$781$	14.9297	0.534226
$782$	0.196853	0.00703945
$783$	22.3941	0.800300
$784$	2.73045	0.0975160
$785$	0	0
$786$	−9.21343	−0.328632
$787$	−3.13963	−0.111916	−0.0559578	−	0.998433i	$-0.517821\pi$
$787$	−3.13963	−0.111916	−0.0559578	+	0.998433i	$0.517821\pi$
$788$	31.0268	1.10529
$789$	−21.2000	−0.754740
$790$	0	0
$791$	−10.2480	−0.364378
$792$	9.37227	0.333029
$793$	65.1004	2.31178
$794$	10.2920	0.365250
$795$	0	0
$796$	22.7110	0.804971
$797$	34.1689	1.21032	0.605162	−	0.796103i	$-0.293108\pi$
$797$	34.1689	1.21032	0.605162	+	0.796103i	$0.293108\pi$
$798$	2.63657	0.0933334
$799$	−3.76277	−0.133117
$800$	0	0
$801$	2.13950	0.0755957
$802$	7.08198	0.250073
$803$	−32.4986	−1.14685
$804$	−30.3317	−1.06972
$805$	0	0
$806$	−18.5392	−0.653016
$807$	−3.62471	−0.127596
$808$	−18.6862	−0.657379
$809$	−35.8465	−1.26030	−0.630148	−	0.776475i	$-0.717006\pi$
$809$	−35.8465	−1.26030	−0.630148	+	0.776475i	$0.717006\pi$
$810$	0	0
$811$	0.297832	0.0104583	0.00522915	−	0.999986i	$-0.498336\pi$
$811$	0.297832	0.0104583	0.00522915	+	0.999986i	$0.498336\pi$
$812$	−12.3672	−0.434003
$813$	6.28558	0.220445
$814$	−11.3982	−0.399506
$815$	0	0
$816$	2.42653	0.0849455
$817$	−15.4032	−0.538890
$818$	14.3433	0.501503
$819$	−10.1839	−0.355855
$820$	0	0
$821$	30.1610	1.05262	0.526312	−	0.850291i	$-0.323574\pi$
$821$	30.1610	1.05262	0.526312	+	0.850291i	$0.323574\pi$
$822$	−18.6813	−0.651584
$823$	−28.4682	−0.992339	−0.496170	−	0.868226i	$-0.665261\pi$
$823$	−28.4682	−0.992339	−0.496170	+	0.868226i	$0.665261\pi$
$824$	33.0158	1.15016
$825$	0	0
$826$	3.40150	0.118353
$827$	−47.6917	−1.65840	−0.829201	−	0.558950i	$-0.811204\pi$
$827$	−47.6917	−1.65840	−0.829201	+	0.558950i	$0.811204\pi$
$828$	2.62826	0.0913383
$829$	−42.7335	−1.48420	−0.742098	−	0.670291i	$-0.766169\pi$
$829$	−42.7335	−1.48420	−0.742098	+	0.670291i	$0.766169\pi$
$830$	0	0
$831$	32.2278	1.11797
$832$	−22.0796	−0.765474
$833$	0.420044	0.0145537
$834$	−8.03817	−0.278339
$835$	0	0
$836$	−16.9648	−0.586741
$837$	−18.4867	−0.638994
$838$	−12.5379	−0.433116
$839$	26.7357	0.923020	0.461510	−	0.887135i	$-0.347308\pi$
$839$	26.7357	0.923020	0.461510	+	0.887135i	$0.347308\pi$
$840$	0	0
$841$	19.2527	0.663888
$842$	−1.31795	−0.0454194
$843$	−20.7759	−0.715561
$844$	−35.2781	−1.21432
$845$	0	0
$846$	6.19753	0.213075
$847$	−1.84135	−0.0632696
$848$	7.61638	0.261547
$849$	−26.0313	−0.893393
$850$	0	0
$851$	−6.78708	−0.232658
$852$	−15.6932	−0.537641
$853$	41.4070	1.41775	0.708874	−	0.705335i	$-0.249203\pi$
$853$	41.4070	1.41775	0.708874	+	0.705335i	$0.249203\pi$
$854$	4.42257	0.151337
$855$	0	0
$856$	−1.91146	−0.0653324
$857$	−34.3474	−1.17329	−0.586643	−	0.809846i	$-0.699551\pi$
$857$	−34.3474	−1.17329	−0.586643	+	0.809846i	$0.699551\pi$
$858$	−24.5113	−0.836802
$859$	28.9314	0.987127	0.493563	−	0.869710i	$-0.335694\pi$
$859$	28.9314	0.987127	0.493563	+	0.869710i	$0.335694\pi$
$860$	0	0
$861$	6.95423	0.236999
$862$	−4.06503	−0.138455
$863$	28.6969	0.976853	0.488427	−	0.872605i	$-0.337571\pi$
$863$	28.6969	0.976853	0.488427	+	0.872605i	$0.337571\pi$
$864$	15.5484	0.528967
$865$	0	0
$866$	4.84168	0.164527
$867$	−35.5938	−1.20883
$868$	10.2093	0.346527
$869$	5.44857	0.184830
$870$	0	0
$871$	55.5503	1.88225
$872$	−0.613403	−0.0207725
$873$	19.9847	0.676381
$874$	1.24618	0.0421528
$875$	0	0
$876$	34.1606	1.15418
$877$	30.1199	1.01708	0.508538	−	0.861039i	$-0.330186\pi$
$877$	30.1199	1.01708	0.508538	+	0.861039i	$0.330186\pi$
$878$	5.50074	0.185641
$879$	−62.8285	−2.11915
$880$	0	0
$881$	22.1913	0.747644	0.373822	−	0.927501i	$-0.378047\pi$
$881$	22.1913	0.747644	0.373822	+	0.927501i	$0.378047\pi$
$882$	−0.691839	−0.0232954
$883$	−33.8576	−1.13940	−0.569699	−	0.821854i	$-0.692940\pi$
$883$	−33.8576	−1.13940	−0.569699	+	0.821854i	$0.692940\pi$
$884$	−5.15895	−0.173514
$885$	0	0
$886$	4.42802	0.148762
$887$	−17.4119	−0.584634	−0.292317	−	0.956321i	$-0.594426\pi$
$887$	−17.4119	−0.584634	−0.292317	+	0.956321i	$0.594426\pi$
$888$	25.4403	0.853719
$889$	−11.0176	−0.369519
$890$	0	0
$891$	−40.3122	−1.35051
$892$	25.9305	0.868217
$893$	−23.8203	−0.797116
$894$	4.57939	0.153158
$895$	0	0
$896$	−11.1459	−0.372357
$897$	−14.5953	−0.487323
$898$	−12.3870	−0.413359
$899$	−39.8335	−1.32852
$900$	0	0
$901$	1.17168	0.0390343
$902$	5.52007	0.183798
$903$	12.2556	0.407840
$904$	18.1561	0.603862
$905$	0	0
$906$	12.9399	0.429899
$907$	−7.61694	−0.252916	−0.126458	−	0.991972i	$-0.540361\pi$
$907$	−7.61694	−0.252916	−0.126458	+	0.991972i	$0.540361\pi$
$908$	−20.2079	−0.670624
$909$	−15.5703	−0.516436
$910$	0	0
$911$	−52.9502	−1.75432	−0.877160	−	0.480199i	$-0.840565\pi$
$911$	−52.9502	−1.75432	−0.877160	+	0.480199i	$0.840565\pi$
$912$	15.3612	0.508660
$913$	−42.5770	−1.40909
$914$	17.2869	0.571800
$915$	0	0
$916$	−10.4641	−0.345745
$917$	−9.29217	−0.306854
$918$	0.634621	0.0209456
$919$	−22.9517	−0.757106	−0.378553	−	0.925580i	$-0.623578\pi$
$919$	−22.9517	−0.757106	−0.378553	+	0.925580i	$0.623578\pi$
$920$	0	0
$921$	41.5464	1.36900
$922$	13.7665	0.453376
$923$	28.7410	0.946022
$924$	13.4981	0.444054
$925$	0	0
$926$	−9.44863	−0.310501
$927$	27.5105	0.903563
$928$	33.5022	1.09976
$929$	−2.20866	−0.0724637	−0.0362319	−	0.999343i	$-0.511535\pi$
$929$	−2.20866	−0.0724637	−0.0362319	+	0.999343i	$0.511535\pi$
$930$	0	0
$931$	2.65910	0.0871484
$932$	−40.6233	−1.33066
$933$	7.75073	0.253748
$934$	10.7355	0.351277
$935$	0	0
$936$	18.0425	0.589737
$937$	−44.9333	−1.46791	−0.733953	−	0.679200i	$-0.762327\pi$
$937$	−44.9333	−1.46791	−0.733953	+	0.679200i	$0.762327\pi$
$938$	3.77378	0.123218
$939$	14.3887	0.469559
$940$	0	0
$941$	−26.2615	−0.856099	−0.428050	−	0.903755i	$-0.640799\pi$
$941$	−26.2615	−0.856099	−0.428050	+	0.903755i	$0.640799\pi$
$942$	17.2351	0.561551
$943$	3.28694	0.107038
$944$	19.8179	0.645018
$945$	0	0
$946$	9.72813	0.316289
$947$	38.0136	1.23528	0.617638	−	0.786463i	$-0.288090\pi$
$947$	38.0136	1.23528	0.617638	+	0.786463i	$0.288090\pi$
$948$	−5.72722	−0.186011
$949$	−62.5627	−2.03087
$950$	0	0
$951$	37.6659	1.22140
$952$	−0.744177	−0.0241189
$953$	−44.5190	−1.44211	−0.721056	−	0.692877i	$-0.756343\pi$
$953$	−44.5190	−1.44211	−0.721056	+	0.692877i	$0.756343\pi$
$954$	−1.92983	−0.0624806
$955$	0	0
$956$	−1.79163	−0.0579454
$957$	−52.6651	−1.70242
$958$	2.86495	0.0925622
$959$	−18.8409	−0.608405
$960$	0	0
$961$	1.88321	0.0607486
$962$	−21.9426	−0.707456
$963$	−1.59273	−0.0513250
$964$	43.5414	1.40237
$965$	0	0
$966$	−0.991526	−0.0319018
$967$	−15.0597	−0.484286	−0.242143	−	0.970241i	$-0.577850\pi$
$967$	−15.0597	−0.484286	−0.242143	+	0.970241i	$0.577850\pi$
$968$	3.26226	0.104853
$969$	2.36312	0.0759144
$970$	0	0
$971$	−48.0809	−1.54299	−0.771494	−	0.636236i	$-0.780490\pi$
$971$	−48.0809	−1.54299	−0.771494	+	0.636236i	$0.780490\pi$
$972$	25.1550	0.806846
$973$	−8.10687	−0.259894
$974$	−9.54323	−0.305785
$975$	0	0
$976$	25.7668	0.824777
$977$	−58.4892	−1.87124	−0.935618	−	0.353014i	$-0.885157\pi$
$977$	−58.4892	−1.87124	−0.935618	+	0.353014i	$0.885157\pi$
$978$	−15.3314	−0.490246
$979$	5.19350	0.165985
$980$	0	0
$981$	−0.511120	−0.0163188
$982$	8.45643	0.269855
$983$	20.7791	0.662752	0.331376	−	0.943499i	$-0.392487\pi$
$983$	20.7791	0.662752	0.331376	+	0.943499i	$0.392487\pi$
$984$	−12.3206	−0.392765
$985$	0	0
$986$	1.36742	0.0435476
$987$	18.9526	0.603269
$988$	−32.6589	−1.03902
$989$	5.79264	0.184195
$990$	0	0
$991$	−54.8499	−1.74237	−0.871183	−	0.490959i	$-0.836646\pi$
$991$	−54.8499	−1.74237	−0.871183	+	0.490959i	$0.836646\pi$
$992$	−27.6567	−0.878100
$993$	21.5519	0.683929
$994$	1.95251	0.0619298
$995$	0	0
$996$	44.7545	1.41810
$997$	36.0337	1.14120	0.570599	−	0.821229i	$-0.306711\pi$
$997$	36.0337	1.14120	0.570599	+	0.821229i	$0.306711\pi$
$998$	5.13706	0.162611
$999$	−21.8804	−0.692266

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	4025.2.a.w.1.4	yes	8
5.4	even	2		4025.2.a.s.1.5	✓	8

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
4025.2.a.s.1.5	✓	8	5.4	even	2
4025.2.a.w.1.4	yes	8	1.1	even	1	trivial

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:	\( N \)	\(=\)	\( 4025 = 5^{2} \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	4025.a (trivial)

\(f(q)\)	\(=\)	\(q-0.468649 q^{2} +2.11571 q^{3} -1.78037 q^{4} -0.991526 q^{6} -1.00000 q^{7} +1.77166 q^{8} +1.47624 q^{9} +O(q^{10})\)	\(q-0.468649 q^{2} +2.11571 q^{3} -1.78037 q^{4} -0.991526 q^{6} -1.00000 q^{7} +1.77166 q^{8} +1.47624 q^{9} +3.58348 q^{11} -3.76675 q^{12} +6.89853 q^{13} +0.468649 q^{14} +2.73045 q^{16} +0.420044 q^{17} -0.691839 q^{18} +2.65910 q^{19} -2.11571 q^{21} -1.67939 q^{22} -1.00000 q^{23} +3.74833 q^{24} -3.23299 q^{26} -3.22383 q^{27} +1.78037 q^{28} -6.94642 q^{29} +5.73439 q^{31} -4.82295 q^{32} +7.58162 q^{33} -0.196853 q^{34} -2.62826 q^{36} +6.78708 q^{37} -1.24618 q^{38} +14.5953 q^{39} -3.28694 q^{41} +0.991526 q^{42} -5.79264 q^{43} -6.37992 q^{44} +0.468649 q^{46} -8.95804 q^{47} +5.77685 q^{48} +1.00000 q^{49} +0.888692 q^{51} -12.2819 q^{52} +2.78942 q^{53} +1.51084 q^{54} -1.77166 q^{56} +5.62589 q^{57} +3.25543 q^{58} +7.25811 q^{59} +9.43685 q^{61} -2.68741 q^{62} -1.47624 q^{63} -3.20063 q^{64} -3.55312 q^{66} +8.05248 q^{67} -0.747833 q^{68} -2.11571 q^{69} +4.16625 q^{71} +2.61541 q^{72} -9.06899 q^{73} -3.18076 q^{74} -4.73417 q^{76} -3.58348 q^{77} -6.84007 q^{78} +1.52047 q^{79} -11.2494 q^{81} +1.54042 q^{82} -11.8815 q^{83} +3.76675 q^{84} +2.71471 q^{86} -14.6966 q^{87} +6.34873 q^{88} +1.44929 q^{89} -6.89853 q^{91} +1.78037 q^{92} +12.1323 q^{93} +4.19817 q^{94} -10.2040 q^{96} +13.5376 q^{97} -0.468649 q^{98} +5.29009 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 8 q + 3 q^{2} + 2 q^{3} + 5 q^{4} - q^{6} - 8 q^{7} + 12 q^{8}+O(q^{10}) \) 8 * q + 3 * q^2 + 2 * q^3 + 5 * q^4 - q^6 - 8 * q^7 + 12 * q^8	\( 8 q + 3 q^{2} + 2 q^{3} + 5 q^{4} - q^{6} - 8 q^{7} + 12 q^{8} - 5 q^{11} + 3 q^{12} + 9 q^{13} - 3 q^{14} - q^{16} - q^{17} + 6 q^{18} - 4 q^{19} - 2 q^{21} - 5 q^{22} - 8 q^{23} + 16 q^{24} + 22 q^{26} - q^{27} - 5 q^{28} - 5 q^{29} - q^{31} + 2 q^{32} + 12 q^{33} - 2 q^{34} + 16 q^{36} + 18 q^{37} + 14 q^{38} + 14 q^{39} - q^{41} + q^{42} + 20 q^{43} - 3 q^{46} + 10 q^{47} + 31 q^{48} + 8 q^{49} - 4 q^{51} + 11 q^{52} + 11 q^{53} + 29 q^{54} - 12 q^{56} + 8 q^{57} + 24 q^{58} + 20 q^{59} - 6 q^{61} + 2 q^{62} + 8 q^{64} - 37 q^{66} + 23 q^{67} + 9 q^{68} - 2 q^{69} + 3 q^{71} + 29 q^{72} - 8 q^{73} + 35 q^{74} - 29 q^{76} + 5 q^{77} + 31 q^{78} + 4 q^{79} - 44 q^{81} + 27 q^{82} + 4 q^{83} - 3 q^{84} - 18 q^{86} + 27 q^{87} - 4 q^{88} - 17 q^{89} - 9 q^{91} - 5 q^{92} - 7 q^{93} + 13 q^{94} + 22 q^{96} + 41 q^{97} + 3 q^{98} + 7 q^{99}+O(q^{100}) \) 8 * q + 3 * q^2 + 2 * q^3 + 5 * q^4 - q^6 - 8 * q^7 + 12 * q^8 - 5 * q^11 + 3 * q^12 + 9 * q^13 - 3 * q^14 - q^16 - q^17 + 6 * q^18 - 4 * q^19 - 2 * q^21 - 5 * q^22 - 8 * q^23 + 16 * q^24 + 22 * q^26 - q^27 - 5 * q^28 - 5 * q^29 - q^31 + 2 * q^32 + 12 * q^33 - 2 * q^34 + 16 * q^36 + 18 * q^37 + 14 * q^38 + 14 * q^39 - q^41 + q^42 + 20 * q^43 - 3 * q^46 + 10 * q^47 + 31 * q^48 + 8 * q^49 - 4 * q^51 + 11 * q^52 + 11 * q^53 + 29 * q^54 - 12 * q^56 + 8 * q^57 + 24 * q^58 + 20 * q^59 - 6 * q^61 + 2 * q^62 + 8 * q^64 - 37 * q^66 + 23 * q^67 + 9 * q^68 - 2 * q^69 + 3 * q^71 + 29 * q^72 - 8 * q^73 + 35 * q^74 - 29 * q^76 + 5 * q^77 + 31 * q^78 + 4 * q^79 - 44 * q^81 + 27 * q^82 + 4 * q^83 - 3 * q^84 - 18 * q^86 + 27 * q^87 - 4 * q^88 - 17 * q^89 - 9 * q^91 - 5 * q^92 - 7 * q^93 + 13 * q^94 + 22 * q^96 + 41 * q^97 + 3 * q^98 + 7 * q^99

Introduction

L-functions

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