LMFDB - Embedded newform 3525.2.a.z.1.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [3525,2,Mod(1,3525)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(3525, 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("3525.1");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 3525 = 3 \cdot 5^{2} \cdot 47 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	3525.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:	$28.1472667125$
Analytic rank:	$0$
Dimension:	$7$
Coefficient field:	$\mathbb{Q}[x]/(x^{7} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{7} - x^{6} - 9x^{5} + 10x^{4} + 16x^{3} - 15x^{2} - 6x + 5 $ x^7 - x^6 - 9x^5 + 10x^4 + 16x^3 - 15x^2 - 6*x + 5
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			1.3
Root			$0.835360$ of defining polynomial
Character	$\chi$	$=$	3525.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q-0.835360 q^{2} +1.00000 q^{3} -1.30217 q^{4} -0.835360 q^{6} +1.49880 q^{7} +2.75850 q^{8} +1.00000 q^{9} +O(q^{10})$	\(q-0.835360 q^{2} +1.00000 q^{3} -1.30217 q^{4} -0.835360 q^{6} +1.49880 q^{7} +2.75850 q^{8} +1.00000 q^{9} +3.60705 q^{11} -1.30217 q^{12} +3.45073 q^{13} -1.25204 q^{14} +0.300002 q^{16} +0.431873 q^{17} -0.835360 q^{18} +6.45616 q^{19} +1.49880 q^{21} -3.01319 q^{22} +2.41668 q^{23} +2.75850 q^{24} -2.88260 q^{26} +1.00000 q^{27} -1.95170 q^{28} +6.34012 q^{29} -2.92114 q^{31} -5.76762 q^{32} +3.60705 q^{33} -0.360770 q^{34} -1.30217 q^{36} -6.28033 q^{37} -5.39322 q^{38} +3.45073 q^{39} -1.66349 q^{41} -1.25204 q^{42} +4.44949 q^{43} -4.69701 q^{44} -2.01880 q^{46} +1.00000 q^{47} +0.300002 q^{48} -4.75360 q^{49} +0.431873 q^{51} -4.49344 q^{52} +6.04735 q^{53} -0.835360 q^{54} +4.13444 q^{56} +6.45616 q^{57} -5.29629 q^{58} -11.9353 q^{59} -1.57141 q^{61} +2.44020 q^{62} +1.49880 q^{63} +4.21804 q^{64} -3.01319 q^{66} -5.12322 q^{67} -0.562374 q^{68} +2.41668 q^{69} +1.60553 q^{71} +2.75850 q^{72} +4.19855 q^{73} +5.24634 q^{74} -8.40703 q^{76} +5.40625 q^{77} -2.88260 q^{78} -3.89653 q^{79} +1.00000 q^{81} +1.38962 q^{82} +5.80304 q^{83} -1.95170 q^{84} -3.71693 q^{86} +6.34012 q^{87} +9.95008 q^{88} -9.97189 q^{89} +5.17194 q^{91} -3.14693 q^{92} -2.92114 q^{93} -0.835360 q^{94} -5.76762 q^{96} +3.19957 q^{97} +3.97097 q^{98} +3.60705 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 7 q - q^{2} + 7 q^{3} + 5 q^{4} - q^{6} + 7 q^{7} + 6 q^{8} + 7 q^{9}+O(q^{10}) $ 7 * q - q^2 + 7 * q^3 + 5 * q^4 - q^6 + 7 * q^7 + 6 * q^8 + 7 * q^9	$ 7 q - q^{2} + 7 q^{3} + 5 q^{4} - q^{6} + 7 q^{7} + 6 q^{8} + 7 q^{9} + 5 q^{12} + 5 q^{13} + 7 q^{14} + 9 q^{16} + 2 q^{17} - q^{18} - 13 q^{19} + 7 q^{21} - 14 q^{22} + 6 q^{23} + 6 q^{24} + 7 q^{27} + 30 q^{28} + 9 q^{29} + 5 q^{31} + 26 q^{32} - 8 q^{34} + 5 q^{36} - 5 q^{37} - 2 q^{38} + 5 q^{39} + 18 q^{41} + 7 q^{42} + 14 q^{43} + 17 q^{44} - 27 q^{46} + 7 q^{47} + 9 q^{48} + 14 q^{49} + 2 q^{51} - 3 q^{52} + 20 q^{53} - q^{54} + 17 q^{56} - 13 q^{57} + 37 q^{58} + 10 q^{59} - 8 q^{61} - 6 q^{62} + 7 q^{63} + 18 q^{64} - 14 q^{66} + 4 q^{67} + 10 q^{68} + 6 q^{69} + 12 q^{71} + 6 q^{72} + 4 q^{73} - 25 q^{74} - 66 q^{76} + 6 q^{77} - 5 q^{79} + 7 q^{81} - 29 q^{82} + 52 q^{83} + 30 q^{84} - 17 q^{86} + 9 q^{87} + 26 q^{88} + 32 q^{89} - 26 q^{91} - 17 q^{92} + 5 q^{93} - q^{94} + 26 q^{96} - 12 q^{97} + 40 q^{98}+O(q^{100}) $ 7 * q - q^2 + 7 * q^3 + 5 * q^4 - q^6 + 7 * q^7 + 6 * q^8 + 7 * q^9 + 5 * q^12 + 5 * q^13 + 7 * q^14 + 9 * q^16 + 2 * q^17 - q^18 - 13 * q^19 + 7 * q^21 - 14 * q^22 + 6 * q^23 + 6 * q^24 + 7 * q^27 + 30 * q^28 + 9 * q^29 + 5 * q^31 + 26 * q^32 - 8 * q^34 + 5 * q^36 - 5 * q^37 - 2 * q^38 + 5 * q^39 + 18 * q^41 + 7 * q^42 + 14 * q^43 + 17 * q^44 - 27 * q^46 + 7 * q^47 + 9 * q^48 + 14 * q^49 + 2 * q^51 - 3 * q^52 + 20 * q^53 - q^54 + 17 * q^56 - 13 * q^57 + 37 * q^58 + 10 * q^59 - 8 * q^61 - 6 * q^62 + 7 * q^63 + 18 * q^64 - 14 * q^66 + 4 * q^67 + 10 * q^68 + 6 * q^69 + 12 * q^71 + 6 * q^72 + 4 * q^73 - 25 * q^74 - 66 * q^76 + 6 * q^77 - 5 * q^79 + 7 * q^81 - 29 * q^82 + 52 * q^83 + 30 * q^84 - 17 * q^86 + 9 * q^87 + 26 * q^88 + 32 * q^89 - 26 * q^91 - 17 * q^92 + 5 * q^93 - q^94 + 26 * q^96 - 12 * q^97 + 40 * q^98

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 $

$2$	−0.835360	−0.590689	−0.295344	−	0.955391i	$-0.595434\pi$
$2$	−0.835360	−0.590689	−0.295344	+	0.955391i	$0.595434\pi$
$3$	1.00000	0.577350
$3$	1.00000	0.577350
$4$	−1.30217	−0.651087
$5$	0	0
$5$	0	0
$6$	−0.835360	−0.341034
$7$	1.49880	0.566493	0.283246	−	0.959047i	$-0.408589\pi$
$7$	1.49880	0.566493	0.283246	+	0.959047i	$0.408589\pi$
$8$	2.75850	0.975279
$9$	1.00000	0.333333
$10$	0	0
$11$	3.60705	1.08757	0.543784	−	0.839225i	$-0.316991\pi$
$11$	3.60705	1.08757	0.543784	+	0.839225i	$0.316991\pi$
$12$	−1.30217	−0.375905
$13$	3.45073	0.957059	0.478530	−	0.878071i	$-0.341170\pi$
$13$	3.45073	0.957059	0.478530	+	0.878071i	$0.341170\pi$
$14$	−1.25204	−0.334621
$15$	0	0
$16$	0.300002	0.0750004
$17$	0.431873	0.104745	0.0523724	−	0.998628i	$-0.483322\pi$
$17$	0.431873	0.104745	0.0523724	+	0.998628i	$0.483322\pi$
$18$	−0.835360	−0.196896
$19$	6.45616	1.48114	0.740572	−	0.671977i	$-0.234555\pi$
$19$	6.45616	1.48114	0.740572	+	0.671977i	$0.234555\pi$
$20$	0	0
$21$	1.49880	0.327065
$22$	−3.01319	−0.642414
$23$	2.41668	0.503912	0.251956	−	0.967739i	$-0.418926\pi$
$23$	2.41668	0.503912	0.251956	+	0.967739i	$0.418926\pi$
$24$	2.75850	0.563077
$25$	0	0
$26$	−2.88260	−0.565324
$27$	1.00000	0.192450
$28$	−1.95170	−0.368836
$29$	6.34012	1.17733	0.588666	−	0.808377i	$-0.299653\pi$
$29$	6.34012	1.17733	0.588666	+	0.808377i	$0.299653\pi$
$30$	0	0
$31$	−2.92114	−0.524652	−0.262326	−	0.964979i	$-0.584490\pi$
$31$	−2.92114	−0.524652	−0.262326	+	0.964979i	$0.584490\pi$
$32$	−5.76762	−1.01958
$33$	3.60705	0.627908
$34$	−0.360770	−0.0618715
$35$	0	0
$36$	−1.30217	−0.217029
$37$	−6.28033	−1.03248	−0.516240	−	0.856444i	$-0.672669\pi$
$37$	−6.28033	−1.03248	−0.516240	+	0.856444i	$0.672669\pi$
$38$	−5.39322	−0.874895
$39$	3.45073	0.552558
$40$	0	0
$41$	−1.66349	−0.259794	−0.129897	−	0.991527i	$-0.541465\pi$
$41$	−1.66349	−0.259794	−0.129897	+	0.991527i	$0.541465\pi$
$42$	−1.25204	−0.193194
$43$	4.44949	0.678541	0.339270	−	0.940689i	$-0.389820\pi$
$43$	4.44949	0.678541	0.339270	+	0.940689i	$0.389820\pi$
$44$	−4.69701	−0.708101
$45$	0	0
$46$	−2.01880	−0.297655
$47$	1.00000	0.145865
$47$	1.00000	0.145865
$48$	0.300002	0.0433015
$49$	−4.75360	−0.679086
$50$	0	0
$51$	0.431873	0.0604744
$52$	−4.49344	−0.623128
$53$	6.04735	0.830667	0.415334	−	0.909669i	$-0.363665\pi$
$53$	6.04735	0.830667	0.415334	+	0.909669i	$0.363665\pi$
$54$	−0.835360	−0.113678
$55$	0	0
$56$	4.13444	0.552488
$57$	6.45616	0.855139
$58$	−5.29629	−0.695437
$59$	−11.9353	−1.55385	−0.776924	−	0.629595i	$-0.783221\pi$
$59$	−11.9353	−1.55385	−0.776924	+	0.629595i	$0.783221\pi$
$60$	0	0
$61$	−1.57141	−0.201199	−0.100599	−	0.994927i	$-0.532076\pi$
$61$	−1.57141	−0.201199	−0.100599	+	0.994927i	$0.532076\pi$
$62$	2.44020	0.309906
$63$	1.49880	0.188831
$64$	4.21804	0.527254
$65$	0	0
$66$	−3.01319	−0.370898
$67$	−5.12322	−0.625901	−0.312951	−	0.949769i	$-0.601317\pi$
$67$	−5.12322	−0.625901	−0.312951	+	0.949769i	$0.601317\pi$
$68$	−0.562374	−0.0681979
$69$	2.41668	0.290934
$70$	0	0
$71$	1.60553	0.190541	0.0952704	−	0.995451i	$-0.469628\pi$
$71$	1.60553	0.190541	0.0952704	+	0.995451i	$0.469628\pi$
$72$	2.75850	0.325093
$73$	4.19855	0.491403	0.245702	−	0.969346i	$-0.420982\pi$
$73$	4.19855	0.491403	0.245702	+	0.969346i	$0.420982\pi$
$74$	5.24634	0.609875
$75$	0	0
$76$	−8.40703	−0.964353
$77$	5.40625	0.616099
$78$	−2.88260	−0.326390
$79$	−3.89653	−0.438394	−0.219197	−	0.975681i	$-0.570344\pi$
$79$	−3.89653	−0.438394	−0.219197	+	0.975681i	$0.570344\pi$
$80$	0	0
$81$	1.00000	0.111111
$82$	1.38962	0.153458
$83$	5.80304	0.636967	0.318483	−	0.947928i	$-0.396827\pi$
$83$	5.80304	0.636967	0.318483	+	0.947928i	$0.396827\pi$
$84$	−1.95170	−0.212948
$85$	0	0
$86$	−3.71693	−0.400807
$87$	6.34012	0.679733
$88$	9.95008	1.06068
$89$	−9.97189	−1.05702	−0.528509	−	0.848928i	$-0.677249\pi$
$89$	−9.97189	−1.05702	−0.528509	+	0.848928i	$0.677249\pi$
$90$	0	0
$91$	5.17194	0.542167
$92$	−3.14693	−0.328090
$93$	−2.92114	−0.302908
$94$	−0.835360	−0.0861608
$95$	0	0
$96$	−5.76762	−0.588655
$97$	3.19957	0.324868	0.162434	−	0.986719i	$-0.448066\pi$
$97$	3.19957	0.324868	0.162434	+	0.986719i	$0.448066\pi$
$98$	3.97097	0.401128
$99$	3.60705	0.362523
$100$	0	0
$101$	−3.86233	−0.384317	−0.192158	−	0.981364i	$-0.561549\pi$
$101$	−3.86233	−0.384317	−0.192158	+	0.981364i	$0.561549\pi$
$102$	−0.360770	−0.0357215
$103$	13.2030	1.30093	0.650467	−	0.759534i	$-0.274573\pi$
$103$	13.2030	1.30093	0.650467	+	0.759534i	$0.274573\pi$
$104$	9.51884	0.933399
$105$	0	0
$106$	−5.05171	−0.490666
$107$	−6.16832	−0.596314	−0.298157	−	0.954517i	$-0.596372\pi$
$107$	−6.16832	−0.596314	−0.298157	+	0.954517i	$0.596372\pi$
$108$	−1.30217	−0.125302
$109$	13.8020	1.32199	0.660997	−	0.750388i	$-0.270133\pi$
$109$	13.8020	1.32199	0.660997	+	0.750388i	$0.270133\pi$
$110$	0	0
$111$	−6.28033	−0.596103
$112$	0.449642	0.0424872
$113$	−3.38313	−0.318258	−0.159129	−	0.987258i	$-0.550869\pi$
$113$	−3.38313	−0.318258	−0.159129	+	0.987258i	$0.550869\pi$
$114$	−5.39322	−0.505121
$115$	0	0
$116$	−8.25594	−0.766545
$117$	3.45073	0.319020
$118$	9.97030	0.917840
$119$	0.647292	0.0593371
$120$	0	0
$121$	2.01084	0.182804
$122$	1.31270	0.118846
$123$	−1.66349	−0.149992
$124$	3.80383	0.341594
$125$	0	0
$126$	−1.25204	−0.111540
$127$	−19.9308	−1.76858	−0.884288	−	0.466943i	$-0.845355\pi$
$127$	−19.9308	−1.76858	−0.884288	+	0.466943i	$0.845355\pi$
$128$	8.01166	0.708137
$129$	4.44949	0.391756
$130$	0	0
$131$	−1.01344	−0.0885446	−0.0442723	−	0.999020i	$-0.514097\pi$
$131$	−1.01344	−0.0885446	−0.0442723	+	0.999020i	$0.514097\pi$
$132$	−4.69701	−0.408822
$133$	9.67648	0.839058
$134$	4.27974	0.369713
$135$	0	0
$136$	1.19132	0.102155
$137$	23.0985	1.97344	0.986720	−	0.162433i	$-0.0519340\pi$
$137$	23.0985	1.97344	0.986720	+	0.162433i	$0.0519340\pi$
$138$	−2.01880	−0.171851
$139$	−17.1927	−1.45827	−0.729135	−	0.684370i	$-0.760077\pi$
$139$	−17.1927	−1.45827	−0.729135	+	0.684370i	$0.760077\pi$
$140$	0	0
$141$	1.00000	0.0842152
$142$	−1.34119	−0.112550
$143$	12.4470	1.04087
$144$	0.300002	0.0250001
$145$	0	0
$146$	−3.50730	−0.290266
$147$	−4.75360	−0.392070
$148$	8.17808	0.672234
$149$	−6.10498	−0.500139	−0.250070	−	0.968228i	$-0.580454\pi$
$149$	−6.10498	−0.500139	−0.250070	+	0.968228i	$0.580454\pi$
$150$	0	0
$151$	−12.6212	−1.02710	−0.513549	−	0.858060i	$-0.671669\pi$
$151$	−12.6212	−1.02710	−0.513549	+	0.858060i	$0.671669\pi$
$152$	17.8093	1.44453
$153$	0.431873	0.0349149
$154$	−4.51617	−0.363923
$155$	0	0
$156$	−4.49344	−0.359763
$157$	−5.27493	−0.420986	−0.210493	−	0.977595i	$-0.567507\pi$
$157$	−5.27493	−0.420986	−0.210493	+	0.977595i	$0.567507\pi$
$158$	3.25501	0.258955
$159$	6.04735	0.479586
$160$	0	0
$161$	3.62211	0.285463
$162$	−0.835360	−0.0656321
$163$	1.41749	0.111026	0.0555130	−	0.998458i	$-0.482321\pi$
$163$	1.41749	0.111026	0.0555130	+	0.998458i	$0.482321\pi$
$164$	2.16616	0.169149
$165$	0	0
$166$	−4.84763	−0.376249
$167$	21.0197	1.62655	0.813277	−	0.581877i	$-0.197682\pi$
$167$	21.0197	1.62655	0.813277	+	0.581877i	$0.197682\pi$
$168$	4.13444	0.318979
$169$	−1.09249	−0.0840380
$170$	0	0
$171$	6.45616	0.493715
$172$	−5.79401	−0.441789
$173$	−7.69708	−0.585198	−0.292599	−	0.956235i	$-0.594520\pi$
$173$	−7.69708	−0.585198	−0.292599	+	0.956235i	$0.594520\pi$
$174$	−5.29629	−0.401511
$175$	0	0
$176$	1.08212	0.0815680
$177$	−11.9353	−0.897114
$178$	8.33012	0.624369
$179$	13.3669	0.999089	0.499545	−	0.866288i	$-0.333501\pi$
$179$	13.3669	0.999089	0.499545	+	0.866288i	$0.333501\pi$
$180$	0	0
$181$	4.49768	0.334310	0.167155	−	0.985931i	$-0.446542\pi$
$181$	4.49768	0.334310	0.167155	+	0.985931i	$0.446542\pi$
$182$	−4.32044	−0.320252
$183$	−1.57141	−0.116162
$184$	6.66641	0.491455
$185$	0	0
$186$	2.44020	0.178924
$187$	1.55779	0.113917
$188$	−1.30217	−0.0949707
$189$	1.49880	0.109022
$190$	0	0
$191$	−5.40415	−0.391031	−0.195515	−	0.980701i	$-0.562638\pi$
$191$	−5.40415	−0.391031	−0.195515	+	0.980701i	$0.562638\pi$
$192$	4.21804	0.304411
$193$	21.4252	1.54222	0.771110	−	0.636702i	$-0.219702\pi$
$193$	21.4252	1.54222	0.771110	+	0.636702i	$0.219702\pi$
$194$	−2.67280	−0.191896
$195$	0	0
$196$	6.19001	0.442144
$197$	13.6662	0.973677	0.486839	−	0.873492i	$-0.338150\pi$
$197$	13.6662	0.973677	0.486839	+	0.873492i	$0.338150\pi$
$198$	−3.01319	−0.214138
$199$	14.2123	1.00748	0.503741	−	0.863855i	$-0.331957\pi$
$199$	14.2123	1.00748	0.503741	+	0.863855i	$0.331957\pi$
$200$	0	0
$201$	−5.12322	−0.361364
$202$	3.22644	0.227012
$203$	9.50257	0.666950
$204$	−0.562374	−0.0393741
$205$	0	0
$206$	−11.0293	−0.768448
$207$	2.41668	0.167971
$208$	1.03522	0.0717798
$209$	23.2877	1.61084
$210$	0	0
$211$	−4.76216	−0.327840	−0.163920	−	0.986474i	$-0.552414\pi$
$211$	−4.76216	−0.327840	−0.163920	+	0.986474i	$0.552414\pi$
$212$	−7.87469	−0.540836
$213$	1.60553	0.110009
$214$	5.15277	0.352236
$215$	0	0
$216$	2.75850	0.187692
$217$	−4.37820	−0.297212
$218$	−11.5297	−0.780888
$219$	4.19855	0.283712
$220$	0	0
$221$	1.49028	0.100247
$222$	5.24634	0.352111
$223$	6.02259	0.403302	0.201651	−	0.979457i	$-0.435369\pi$
$223$	6.02259	0.403302	0.201651	+	0.979457i	$0.435369\pi$
$224$	−8.64450	−0.577585
$225$	0	0
$226$	2.82613	0.187991
$227$	12.2111	0.810478	0.405239	−	0.914211i	$-0.367188\pi$
$227$	12.2111	0.810478	0.405239	+	0.914211i	$0.367188\pi$
$228$	−8.40703	−0.556769
$229$	−26.3687	−1.74249	−0.871246	−	0.490846i	$-0.836688\pi$
$229$	−26.3687	−1.74249	−0.871246	+	0.490846i	$0.836688\pi$
$230$	0	0
$231$	5.40625	0.355705
$232$	17.4893	1.14823
$233$	−5.02155	−0.328972	−0.164486	−	0.986379i	$-0.552597\pi$
$233$	−5.02155	−0.328972	−0.164486	+	0.986379i	$0.552597\pi$
$234$	−2.88260	−0.188441
$235$	0	0
$236$	15.5419	1.01169
$237$	−3.89653	−0.253107
$238$	−0.540722	−0.0350498
$239$	−10.7625	−0.696170	−0.348085	−	0.937463i	$-0.613168\pi$
$239$	−10.7625	−0.696170	−0.348085	+	0.937463i	$0.613168\pi$
$240$	0	0
$241$	4.25618	0.274165	0.137082	−	0.990560i	$-0.456227\pi$
$241$	4.25618	0.274165	0.137082	+	0.990560i	$0.456227\pi$
$242$	−1.67978	−0.107980
$243$	1.00000	0.0641500
$244$	2.04625	0.130998
$245$	0	0
$246$	1.38962	0.0885988
$247$	22.2784	1.41754
$248$	−8.05797	−0.511682
$249$	5.80304	0.367753
$250$	0	0
$251$	23.9538	1.51195	0.755977	−	0.654599i	$-0.227162\pi$
$251$	23.9538	1.51195	0.755977	+	0.654599i	$0.227162\pi$
$252$	−1.95170	−0.122945
$253$	8.71709	0.548039
$254$	16.6494	1.04468
$255$	0	0
$256$	−15.1287	−0.945543
$257$	23.3416	1.45601	0.728004	−	0.685572i	$-0.240448\pi$
$257$	23.3416	1.45601	0.728004	+	0.685572i	$0.240448\pi$
$258$	−3.71693	−0.231406
$259$	−9.41296	−0.584893
$260$	0	0
$261$	6.34012	0.392444
$262$	0.846587	0.0523023
$263$	−3.46425	−0.213615	−0.106807	−	0.994280i	$-0.534063\pi$
$263$	−3.46425	−0.213615	−0.106807	+	0.994280i	$0.534063\pi$
$264$	9.95008	0.612385
$265$	0	0
$266$	−8.08335	−0.495622
$267$	−9.97189	−0.610270
$268$	6.67132	0.407516
$269$	14.9476	0.911371	0.455685	−	0.890141i	$-0.349394\pi$
$269$	14.9476	0.911371	0.455685	+	0.890141i	$0.349394\pi$
$270$	0	0
$271$	−24.1187	−1.46511	−0.732554	−	0.680709i	$-0.761672\pi$
$271$	−24.1187	−1.46511	−0.732554	+	0.680709i	$0.761672\pi$
$272$	0.129563	0.00785589
$273$	5.17194	0.313020
$274$	−19.2956	−1.16569
$275$	0	0
$276$	−3.14693	−0.189423
$277$	0.682813	0.0410263	0.0205131	−	0.999790i	$-0.493470\pi$
$277$	0.682813	0.0410263	0.0205131	+	0.999790i	$0.493470\pi$
$278$	14.3621	0.861383
$279$	−2.92114	−0.174884
$280$	0	0
$281$	0.795242	0.0474402	0.0237201	−	0.999719i	$-0.492449\pi$
$281$	0.795242	0.0474402	0.0237201	+	0.999719i	$0.492449\pi$
$282$	−0.835360	−0.0497450
$283$	−29.0426	−1.72640	−0.863201	−	0.504861i	$-0.831544\pi$
$283$	−29.0426	−1.72640	−0.863201	+	0.504861i	$0.831544\pi$
$284$	−2.09067	−0.124059
$285$	0	0
$286$	−10.3977	−0.614828
$287$	−2.49324	−0.147172
$288$	−5.76762	−0.339860
$289$	−16.8135	−0.989029
$290$	0	0
$291$	3.19957	0.187562
$292$	−5.46724	−0.319946
$293$	−1.78518	−0.104292	−0.0521458	−	0.998639i	$-0.516606\pi$
$293$	−1.78518	−0.104292	−0.0521458	+	0.998639i	$0.516606\pi$
$294$	3.97097	0.231592
$295$	0	0
$296$	−17.3243	−1.00696
$297$	3.60705	0.209303
$298$	5.09986	0.295427
$299$	8.33929	0.482274
$300$	0	0
$301$	6.66889	0.384389
$302$	10.5432	0.606695
$303$	−3.86233	−0.221885
$304$	1.93686	0.111086
$305$	0	0
$306$	−0.360770	−0.0206238
$307$	2.76651	0.157893	0.0789467	−	0.996879i	$-0.474844\pi$
$307$	2.76651	0.157893	0.0789467	+	0.996879i	$0.474844\pi$
$308$	−7.03988	−0.401134
$309$	13.2030	0.751095
$310$	0	0
$311$	31.3933	1.78015	0.890076	−	0.455813i	$-0.150651\pi$
$311$	31.3933	1.78015	0.890076	+	0.455813i	$0.150651\pi$
$312$	9.51884	0.538898
$313$	−15.3171	−0.865774	−0.432887	−	0.901448i	$-0.642505\pi$
$313$	−15.3171	−0.865774	−0.432887	+	0.901448i	$0.642505\pi$
$314$	4.40647	0.248671
$315$	0	0
$316$	5.07396	0.285433
$317$	−12.1597	−0.682956	−0.341478	−	0.939890i	$-0.610928\pi$
$317$	−12.1597	−0.682956	−0.341478	+	0.939890i	$0.610928\pi$
$318$	−5.05171	−0.283286
$319$	22.8692	1.28043
$320$	0	0
$321$	−6.16832	−0.344282
$322$	−3.02577	−0.168620
$323$	2.78824	0.155142
$324$	−1.30217	−0.0723430
$325$	0	0
$326$	−1.18411	−0.0655818
$327$	13.8020	0.763254
$328$	−4.58876	−0.253372
$329$	1.49880	0.0826315
$330$	0	0
$331$	−25.9978	−1.42897	−0.714484	−	0.699651i	$-0.753339\pi$
$331$	−25.9978	−1.42897	−0.714484	+	0.699651i	$0.753339\pi$
$332$	−7.55657	−0.414721
$333$	−6.28033	−0.344160
$334$	−17.5590	−0.960787
$335$	0	0
$336$	0.449642	0.0245300
$337$	−6.03799	−0.328910	−0.164455	−	0.986385i	$-0.552587\pi$
$337$	−6.03799	−0.328910	−0.164455	+	0.986385i	$0.552587\pi$
$338$	0.912626	0.0496403
$339$	−3.38313	−0.183746
$340$	0	0
$341$	−10.5367	−0.570595
$342$	−5.39322	−0.291632
$343$	−17.6163	−0.951190
$344$	12.2739	0.661766
$345$	0	0
$346$	6.42984	0.345670
$347$	−4.10637	−0.220441	−0.110221	−	0.993907i	$-0.535156\pi$
$347$	−4.10637	−0.220441	−0.110221	+	0.993907i	$0.535156\pi$
$348$	−8.25594	−0.442565
$349$	−9.88265	−0.529006	−0.264503	−	0.964385i	$-0.585208\pi$
$349$	−9.88265	−0.529006	−0.264503	+	0.964385i	$0.585208\pi$
$350$	0	0
$351$	3.45073	0.184186
$352$	−20.8041	−1.10886
$353$	0.277318	0.0147601	0.00738007	−	0.999973i	$-0.497651\pi$
$353$	0.277318	0.0147601	0.00738007	+	0.999973i	$0.497651\pi$
$354$	9.97030	0.529915
$355$	0	0
$356$	12.9851	0.688210
$357$	0.647292	0.0342583
$358$	−11.1662	−0.590151
$359$	12.8277	0.677020	0.338510	−	0.940963i	$-0.390077\pi$
$359$	12.8277	0.677020	0.338510	+	0.940963i	$0.390077\pi$
$360$	0	0
$361$	22.6820	1.19379
$362$	−3.75718	−0.197473
$363$	2.01084	0.105542
$364$	−6.73477	−0.352998
$365$	0	0
$366$	1.31270	0.0686157
$367$	13.9591	0.728661	0.364331	−	0.931270i	$-0.381298\pi$
$367$	13.9591	0.728661	0.364331	+	0.931270i	$0.381298\pi$
$368$	0.725007	0.0377936
$369$	−1.66349	−0.0865981
$370$	0	0
$371$	9.06376	0.470567
$372$	3.80383	0.197219
$373$	17.1264	0.886771	0.443386	−	0.896331i	$-0.353777\pi$
$373$	17.1264	0.886771	0.443386	+	0.896331i	$0.353777\pi$
$374$	−1.30132	−0.0672895
$375$	0	0
$376$	2.75850	0.142259
$377$	21.8780	1.12678
$378$	−1.25204	−0.0643979
$379$	−25.2685	−1.29795	−0.648977	−	0.760808i	$-0.724803\pi$
$379$	−25.2685	−1.29795	−0.648977	+	0.760808i	$0.724803\pi$
$380$	0	0
$381$	−19.9308	−1.02109
$382$	4.51441	0.230978
$383$	6.33708	0.323810	0.161905	−	0.986806i	$-0.448236\pi$
$383$	6.33708	0.323810	0.161905	+	0.986806i	$0.448236\pi$
$384$	8.01166	0.408843
$385$	0	0
$386$	−17.8978	−0.910972
$387$	4.44949	0.226180
$388$	−4.16640	−0.211517
$389$	18.2354	0.924570	0.462285	−	0.886731i	$-0.347030\pi$
$389$	18.2354	0.924570	0.462285	+	0.886731i	$0.347030\pi$
$390$	0	0
$391$	1.04370	0.0527821
$392$	−13.1128	−0.662298
$393$	−1.01344	−0.0511212
$394$	−11.4162	−0.575140
$395$	0	0
$396$	−4.69701	−0.236034
$397$	−26.7157	−1.34082	−0.670411	−	0.741990i	$-0.733882\pi$
$397$	−26.7157	−1.34082	−0.670411	+	0.741990i	$0.733882\pi$
$398$	−11.8724	−0.595108
$399$	9.67648	0.484430
$400$	0	0
$401$	3.13261	0.156435	0.0782176	−	0.996936i	$-0.475077\pi$
$401$	3.13261	0.156435	0.0782176	+	0.996936i	$0.475077\pi$
$402$	4.27974	0.213454
$403$	−10.0800	−0.502123
$404$	5.02943	0.250223
$405$	0	0
$406$	−7.93807	−0.393960
$407$	−22.6535	−1.12289
$408$	1.19132	0.0589794
$409$	24.5146	1.21217	0.606084	−	0.795401i	$-0.292740\pi$
$409$	24.5146	1.21217	0.606084	+	0.795401i	$0.292740\pi$
$410$	0	0
$411$	23.0985	1.13937
$412$	−17.1927	−0.847021
$413$	−17.8887	−0.880244
$414$	−2.01880	−0.0992184
$415$	0	0
$416$	−19.9025	−0.975799
$417$	−17.1927	−0.841932
$418$	−19.4536	−0.951508
$419$	−3.61047	−0.176383	−0.0881914	−	0.996104i	$-0.528109\pi$
$419$	−3.61047	−0.176383	−0.0881914	+	0.996104i	$0.528109\pi$
$420$	0	0
$421$	15.4964	0.755249	0.377624	−	0.925959i	$-0.376741\pi$
$421$	15.4964	0.755249	0.377624	+	0.925959i	$0.376741\pi$
$422$	3.97812	0.193652
$423$	1.00000	0.0486217
$424$	16.6816	0.810132
$425$	0	0
$426$	−1.34119	−0.0649810
$427$	−2.35523	−0.113978
$428$	8.03222	0.388252
$429$	12.4470	0.600945
$430$	0	0
$431$	−26.9485	−1.29806	−0.649032	−	0.760761i	$-0.724826\pi$
$431$	−26.9485	−1.29806	−0.649032	+	0.760761i	$0.724826\pi$
$432$	0.300002	0.0144338
$433$	−5.45210	−0.262011	−0.131006	−	0.991382i	$-0.541821\pi$
$433$	−5.45210	−0.262011	−0.131006	+	0.991382i	$0.541821\pi$
$434$	3.65737	0.175560
$435$	0	0
$436$	−17.9726	−0.860733
$437$	15.6024	0.746366
$438$	−3.50730	−0.167585
$439$	−25.3547	−1.21011	−0.605057	−	0.796182i	$-0.706850\pi$
$439$	−25.3547	−1.21011	−0.605057	+	0.796182i	$0.706850\pi$
$440$	0	0
$441$	−4.75360	−0.226362
$442$	−1.24492	−0.0592147
$443$	27.1808	1.29140	0.645699	−	0.763592i	$-0.276566\pi$
$443$	27.1808	1.29140	0.645699	+	0.763592i	$0.276566\pi$
$444$	8.17808	0.388115
$445$	0	0
$446$	−5.03103	−0.238226
$447$	−6.10498	−0.288756
$448$	6.32199	0.298686
$449$	7.15431	0.337633	0.168816	−	0.985648i	$-0.446005\pi$
$449$	7.15431	0.337633	0.168816	+	0.985648i	$0.446005\pi$
$450$	0	0
$451$	−6.00032	−0.282544
$452$	4.40542	0.207214
$453$	−12.6212	−0.592995
$454$	−10.2007	−0.478740
$455$	0	0
$456$	17.8093	0.833999
$457$	20.5543	0.961488	0.480744	−	0.876861i	$-0.340367\pi$
$457$	20.5543	0.961488	0.480744	+	0.876861i	$0.340367\pi$
$458$	22.0274	1.02927
$459$	0.431873	0.0201581
$460$	0	0
$461$	17.0983	0.796346	0.398173	−	0.917310i	$-0.369644\pi$
$461$	17.0983	0.796346	0.398173	+	0.917310i	$0.369644\pi$
$462$	−4.51617	−0.210111
$463$	−15.6746	−0.728460	−0.364230	−	0.931309i	$-0.618668\pi$
$463$	−15.6746	−0.728460	−0.364230	+	0.931309i	$0.618668\pi$
$464$	1.90205	0.0883003
$465$	0	0
$466$	4.19480	0.194320
$467$	1.16729	0.0540159	0.0270080	−	0.999635i	$-0.491402\pi$
$467$	1.16729	0.0540159	0.0270080	+	0.999635i	$0.491402\pi$
$468$	−4.49344	−0.207709
$469$	−7.67868	−0.354569
$470$	0	0
$471$	−5.27493	−0.243056
$472$	−32.9237	−1.51543
$473$	16.0496	0.737959
$474$	3.25501	0.149508
$475$	0	0
$476$	−0.842886	−0.0386336
$477$	6.04735	0.276889
$478$	8.99058	0.411220
$479$	−11.9790	−0.547334	−0.273667	−	0.961824i	$-0.588237\pi$
$479$	−11.9790	−0.547334	−0.273667	+	0.961824i	$0.588237\pi$
$480$	0	0
$481$	−21.6717	−0.988145
$482$	−3.55545	−0.161946
$483$	3.62211	0.164812
$484$	−2.61847	−0.119021
$485$	0	0
$486$	−0.835360	−0.0378927
$487$	17.0359	0.771971	0.385986	−	0.922505i	$-0.373861\pi$
$487$	17.0359	0.771971	0.385986	+	0.922505i	$0.373861\pi$
$488$	−4.33475	−0.196225
$489$	1.41749	0.0641009
$490$	0	0
$491$	12.1337	0.547584	0.273792	−	0.961789i	$-0.411722\pi$
$491$	12.1337	0.547584	0.273792	+	0.961789i	$0.411722\pi$
$492$	2.16616	0.0976580
$493$	2.73813	0.123319
$494$	−18.6105	−0.837326
$495$	0	0
$496$	−0.876346	−0.0393491
$497$	2.40636	0.107940
$498$	−4.84763	−0.217228
$499$	39.8307	1.78307	0.891533	−	0.452955i	$-0.149630\pi$
$499$	39.8307	1.78307	0.891533	+	0.452955i	$0.149630\pi$
$500$	0	0
$501$	21.0197	0.939091
$502$	−20.0101	−0.893094
$503$	−8.32208	−0.371063	−0.185532	−	0.982638i	$-0.559401\pi$
$503$	−8.32208	−0.371063	−0.185532	+	0.982638i	$0.559401\pi$
$504$	4.13444	0.184163
$505$	0	0
$506$	−7.28191	−0.323720
$507$	−1.09249	−0.0485194
$508$	25.9534	1.15150
$509$	−22.8230	−1.01161	−0.505807	−	0.862647i	$-0.668805\pi$
$509$	−22.8230	−1.01161	−0.505807	+	0.862647i	$0.668805\pi$
$510$	0	0
$511$	6.29278	0.278376
$512$	−3.38541	−0.149615
$513$	6.45616	0.285046
$514$	−19.4986	−0.860048
$515$	0	0
$516$	−5.79401	−0.255067
$517$	3.60705	0.158638
$518$	7.86321	0.345490
$519$	−7.69708	−0.337864
$520$	0	0
$521$	5.71854	0.250534	0.125267	−	0.992123i	$-0.460021\pi$
$521$	5.71854	0.250534	0.125267	+	0.992123i	$0.460021\pi$
$522$	−5.29629	−0.231812
$523$	42.5714	1.86152	0.930759	−	0.365632i	$-0.119147\pi$
$523$	42.5714	1.86152	0.930759	+	0.365632i	$0.119147\pi$
$524$	1.31967	0.0576502
$525$	0	0
$526$	2.89390	0.126180
$527$	−1.26156	−0.0549545
$528$	1.08212	0.0470933
$529$	−17.1597	−0.746073
$530$	0	0
$531$	−11.9353	−0.517949
$532$	−12.6005	−0.546299
$533$	−5.74026	−0.248638
$534$	8.33012	0.360480
$535$	0	0
$536$	−14.1324	−0.610428
$537$	13.3669	0.576825
$538$	−12.4866	−0.538337
$539$	−17.1465	−0.738552
$540$	0	0
$541$	0.967751	0.0416069	0.0208034	−	0.999784i	$-0.493378\pi$
$541$	0.967751	0.0416069	0.0208034	+	0.999784i	$0.493378\pi$
$542$	20.1478	0.865423
$543$	4.49768	0.193014
$544$	−2.49088	−0.106796
$545$	0	0
$546$	−4.32044	−0.184898
$547$	−8.53981	−0.365136	−0.182568	−	0.983193i	$-0.558441\pi$
$547$	−8.53981	−0.365136	−0.182568	+	0.983193i	$0.558441\pi$
$548$	−30.0783	−1.28488
$549$	−1.57141	−0.0670663
$550$	0	0
$551$	40.9328	1.74380
$552$	6.66641	0.283741
$553$	−5.84012	−0.248347
$554$	−0.570395	−0.0242338
$555$	0	0
$556$	22.3879	0.949459
$557$	−28.8759	−1.22351	−0.611756	−	0.791046i	$-0.709537\pi$
$557$	−28.8759	−1.22351	−0.611756	+	0.791046i	$0.709537\pi$
$558$	2.44020	0.103302
$559$	15.3540	0.649404
$560$	0	0
$561$	1.55779	0.0657700
$562$	−0.664314	−0.0280224
$563$	−43.3713	−1.82788	−0.913942	−	0.405845i	$-0.866977\pi$
$563$	−43.3713	−1.82788	−0.913942	+	0.405845i	$0.866977\pi$
$564$	−1.30217	−0.0548314
$565$	0	0
$566$	24.2610	1.01977
$567$	1.49880	0.0629437
$568$	4.42885	0.185830
$569$	8.48746	0.355813	0.177906	−	0.984047i	$-0.443068\pi$
$569$	8.48746	0.355813	0.177906	+	0.984047i	$0.443068\pi$
$570$	0	0
$571$	−37.4422	−1.56691	−0.783453	−	0.621451i	$-0.786543\pi$
$571$	−37.4422	−1.56691	−0.783453	+	0.621451i	$0.786543\pi$
$572$	−16.2081	−0.677694
$573$	−5.40415	−0.225762
$574$	2.08276	0.0869326
$575$	0	0
$576$	4.21804	0.175751
$577$	3.64145	0.151596	0.0757978	−	0.997123i	$-0.475850\pi$
$577$	3.64145	0.151596	0.0757978	+	0.997123i	$0.475850\pi$
$578$	14.0453	0.584208
$579$	21.4252	0.890401
$580$	0	0
$581$	8.69760	0.360837
$582$	−2.67280	−0.110791
$583$	21.8131	0.903407
$584$	11.5817	0.479255
$585$	0	0
$586$	1.49127	0.0616038
$587$	40.2475	1.66119	0.830596	−	0.556876i	$-0.188000\pi$
$587$	40.2475	1.66119	0.830596	+	0.556876i	$0.188000\pi$
$588$	6.19001	0.255272
$589$	−18.8593	−0.777085
$590$	0	0
$591$	13.6662	0.562153
$592$	−1.88411	−0.0774364
$593$	10.5073	0.431482	0.215741	−	0.976451i	$-0.430783\pi$
$593$	10.5073	0.431482	0.215741	+	0.976451i	$0.430783\pi$
$594$	−3.01319	−0.123633
$595$	0	0
$596$	7.94974	0.325634
$597$	14.2123	0.581670
$598$	−6.96631	−0.284874
$599$	−34.1199	−1.39410	−0.697052	−	0.717021i	$-0.745505\pi$
$599$	−34.1199	−1.39410	−0.697052	+	0.717021i	$0.745505\pi$
$600$	0	0
$601$	7.46985	0.304701	0.152351	−	0.988327i	$-0.451316\pi$
$601$	7.46985	0.304701	0.152351	+	0.988327i	$0.451316\pi$
$602$	−5.57093	−0.227054
$603$	−5.12322	−0.208634
$604$	16.4350	0.668729
$605$	0	0
$606$	3.22644	0.131065
$607$	25.5358	1.03646	0.518232	−	0.855240i	$-0.326590\pi$
$607$	25.5358	1.03646	0.518232	+	0.855240i	$0.326590\pi$
$608$	−37.2366	−1.51015
$609$	9.50257	0.385064
$610$	0	0
$611$	3.45073	0.139601
$612$	−0.562374	−0.0227326
$613$	−46.6096	−1.88254	−0.941272	−	0.337651i	$-0.890368\pi$
$613$	−46.6096	−1.88254	−0.941272	+	0.337651i	$0.890368\pi$
$614$	−2.31104	−0.0932658
$615$	0	0
$616$	14.9132	0.600869
$617$	−14.0084	−0.563955	−0.281978	−	0.959421i	$-0.590990\pi$
$617$	−14.0084	−0.563955	−0.281978	+	0.959421i	$0.590990\pi$
$618$	−11.0293	−0.443664
$619$	−16.3881	−0.658694	−0.329347	−	0.944209i	$-0.606829\pi$
$619$	−16.3881	−0.658694	−0.329347	+	0.944209i	$0.606829\pi$
$620$	0	0
$621$	2.41668	0.0969779
$622$	−26.2247	−1.05152
$623$	−14.9459	−0.598793
$624$	1.03522	0.0414421
$625$	0	0
$626$	12.7953	0.511403
$627$	23.2877	0.930022
$628$	6.86888	0.274098
$629$	−2.71231	−0.108147
$630$	0	0
$631$	37.9798	1.51195	0.755976	−	0.654600i	$-0.227163\pi$
$631$	37.9798	1.51195	0.755976	+	0.654600i	$0.227163\pi$
$632$	−10.7486	−0.427557
$633$	−4.76216	−0.189279
$634$	10.1577	0.403415
$635$	0	0
$636$	−7.87469	−0.312252
$637$	−16.4034	−0.649925
$638$	−19.1040	−0.756335
$639$	1.60553	0.0635136
$640$	0	0
$641$	12.9073	0.509808	0.254904	−	0.966966i	$-0.417956\pi$
$641$	12.9073	0.509808	0.254904	+	0.966966i	$0.417956\pi$
$642$	5.15277	0.203364
$643$	45.0333	1.77594	0.887970	−	0.459901i	$-0.152115\pi$
$643$	45.0333	1.77594	0.887970	+	0.459901i	$0.152115\pi$
$644$	−4.71662	−0.185861
$645$	0	0
$646$	−2.32919	−0.0916407
$647$	12.0805	0.474933	0.237467	−	0.971396i	$-0.423683\pi$
$647$	12.0805	0.474933	0.237467	+	0.971396i	$0.423683\pi$
$648$	2.75850	0.108364
$649$	−43.0514	−1.68991
$650$	0	0
$651$	−4.37820	−0.171595
$652$	−1.84581	−0.0722875
$653$	−21.6763	−0.848260	−0.424130	−	0.905601i	$-0.639420\pi$
$653$	−21.6763	−0.848260	−0.424130	+	0.905601i	$0.639420\pi$
$654$	−11.5297	−0.450846
$655$	0	0
$656$	−0.499051	−0.0194847
$657$	4.19855	0.163801
$658$	−1.25204	−0.0488095
$659$	11.1348	0.433751	0.216876	−	0.976199i	$-0.430413\pi$
$659$	11.1348	0.433751	0.216876	+	0.976199i	$0.430413\pi$
$660$	0	0
$661$	−30.3437	−1.18023	−0.590116	−	0.807318i	$-0.700918\pi$
$661$	−30.3437	−1.18023	−0.590116	+	0.807318i	$0.700918\pi$
$662$	21.7175	0.844076
$663$	1.49028	0.0578776
$664$	16.0077	0.621220
$665$	0	0
$666$	5.24634	0.203292
$667$	15.3220	0.593271
$668$	−27.3713	−1.05903
$669$	6.02259	0.232847
$670$	0	0
$671$	−5.66817	−0.218817
$672$	−8.64450	−0.333469
$673$	−5.10678	−0.196852	−0.0984260	−	0.995144i	$-0.531381\pi$
$673$	−5.10678	−0.196852	−0.0984260	+	0.995144i	$0.531381\pi$
$674$	5.04390	0.194284
$675$	0	0
$676$	1.42262	0.0547160
$677$	−48.5544	−1.86610	−0.933048	−	0.359753i	$-0.882861\pi$
$677$	−48.5544	−1.86610	−0.933048	+	0.359753i	$0.882861\pi$
$678$	2.82613	0.108537
$679$	4.79552	0.184035
$680$	0	0
$681$	12.2111	0.467930
$682$	8.80194	0.337044
$683$	−28.1169	−1.07586	−0.537932	−	0.842988i	$-0.680794\pi$
$683$	−28.1169	−1.07586	−0.537932	+	0.842988i	$0.680794\pi$
$684$	−8.40703	−0.321451
$685$	0	0
$686$	14.7159	0.561857
$687$	−26.3687	−1.00603
$688$	1.33485	0.0508908
$689$	20.8677	0.794997
$690$	0	0
$691$	12.0245	0.457433	0.228717	−	0.973493i	$-0.426547\pi$
$691$	12.0245	0.457433	0.228717	+	0.973493i	$0.426547\pi$
$692$	10.0229	0.381015
$693$	5.40625	0.205366
$694$	3.43030	0.130212
$695$	0	0
$696$	17.4893	0.662929
$697$	−0.718419	−0.0272121
$698$	8.25557	0.312478
$699$	−5.02155	−0.189932
$700$	0	0
$701$	35.3441	1.33493	0.667464	−	0.744642i	$-0.267380\pi$
$701$	35.3441	1.33493	0.667464	+	0.744642i	$0.267380\pi$
$702$	−2.88260	−0.108797
$703$	−40.5468	−1.52925
$704$	15.2147	0.573425
$705$	0	0
$706$	−0.231660	−0.00871865
$707$	−5.78886	−0.217713
$708$	15.5419	0.584099
$709$	4.51395	0.169525	0.0847624	−	0.996401i	$-0.472987\pi$
$709$	4.51395	0.169525	0.0847624	+	0.996401i	$0.472987\pi$
$710$	0	0
$711$	−3.89653	−0.146131
$712$	−27.5075	−1.03089
$713$	−7.05945	−0.264378
$714$	−0.540722	−0.0202360
$715$	0	0
$716$	−17.4060	−0.650494
$717$	−10.7625	−0.401934
$718$	−10.7157	−0.399908
$719$	−32.4057	−1.20853	−0.604264	−	0.796784i	$-0.706533\pi$
$719$	−32.4057	−1.20853	−0.604264	+	0.796784i	$0.706533\pi$
$720$	0	0
$721$	19.7887	0.736970
$722$	−18.9476	−0.705157
$723$	4.25618	0.158289
$724$	−5.85676	−0.217665
$725$	0	0
$726$	−1.67978	−0.0623425
$727$	24.3094	0.901584	0.450792	−	0.892629i	$-0.351142\pi$
$727$	24.3094	0.901584	0.450792	+	0.892629i	$0.351142\pi$
$728$	14.2668	0.528764
$729$	1.00000	0.0370370
$730$	0	0
$731$	1.92162	0.0710736
$732$	2.04625	0.0756317
$733$	11.1733	0.412696	0.206348	−	0.978479i	$-0.433842\pi$
$733$	11.1733	0.412696	0.206348	+	0.978479i	$0.433842\pi$
$734$	−11.6609	−0.430412
$735$	0	0
$736$	−13.9385	−0.513779
$737$	−18.4797	−0.680710
$738$	1.38962	0.0511525
$739$	−32.4670	−1.19432	−0.597160	−	0.802122i	$-0.703704\pi$
$739$	−32.4670	−1.19432	−0.597160	+	0.802122i	$0.703704\pi$
$740$	0	0
$741$	22.2784	0.818418
$742$	−7.57151	−0.277959
$743$	13.1450	0.482245	0.241123	−	0.970495i	$-0.422484\pi$
$743$	13.1450	0.482245	0.241123	+	0.970495i	$0.422484\pi$
$744$	−8.05797	−0.295420
$745$	0	0
$746$	−14.3067	−0.523806
$747$	5.80304	0.212322
$748$	−2.02851	−0.0741698
$749$	−9.24507	−0.337808
$750$	0	0
$751$	9.83639	0.358935	0.179468	−	0.983764i	$-0.442563\pi$
$751$	9.83639	0.358935	0.179468	+	0.983764i	$0.442563\pi$
$752$	0.300002	0.0109399
$753$	23.9538	0.872927
$754$	−18.2760	−0.665574
$755$	0	0
$756$	−1.95170	−0.0709825
$757$	−25.9609	−0.943567	−0.471783	−	0.881715i	$-0.656390\pi$
$757$	−25.9609	−0.943567	−0.471783	+	0.881715i	$0.656390\pi$
$758$	21.1083	0.766688
$759$	8.71709	0.316410
$760$	0	0
$761$	52.7826	1.91337	0.956684	−	0.291129i	$-0.0940307\pi$
$761$	52.7826	1.91337	0.956684	+	0.291129i	$0.0940307\pi$
$762$	16.6494	0.603145
$763$	20.6865	0.748901
$764$	7.03714	0.254595
$765$	0	0
$766$	−5.29374	−0.191271
$767$	−41.1855	−1.48712
$768$	−15.1287	−0.545910
$769$	−51.6994	−1.86433	−0.932165	−	0.362035i	$-0.882082\pi$
$769$	−51.6994	−1.86433	−0.932165	+	0.362035i	$0.882082\pi$
$770$	0	0
$771$	23.3416	0.840627
$772$	−27.8993	−1.00412
$773$	−29.3029	−1.05395	−0.526975	−	0.849881i	$-0.676674\pi$
$773$	−29.3029	−1.05395	−0.526975	+	0.849881i	$0.676674\pi$
$774$	−3.71693	−0.133602
$775$	0	0
$776$	8.82604	0.316836
$777$	−9.41296	−0.337688
$778$	−15.2331	−0.546133
$779$	−10.7398	−0.384793
$780$	0	0
$781$	5.79122	0.207226
$782$	−0.871864	−0.0311778
$783$	6.34012	0.226578
$784$	−1.42609	−0.0509317
$785$	0	0
$786$	0.846587	0.0301967
$787$	−40.5942	−1.44703	−0.723514	−	0.690310i	$-0.757474\pi$
$787$	−40.5942	−1.44703	−0.723514	+	0.690310i	$0.757474\pi$
$788$	−17.7958	−0.633948
$789$	−3.46425	−0.123331
$790$	0	0
$791$	−5.07063	−0.180291
$792$	9.95008	0.353561
$793$	−5.42252	−0.192559
$794$	22.3172	0.792008
$795$	0	0
$796$	−18.5068	−0.655957
$797$	−12.7079	−0.450138	−0.225069	−	0.974343i	$-0.572261\pi$
$797$	−12.7079	−0.450138	−0.225069	+	0.974343i	$0.572261\pi$
$798$	−8.08335	−0.286147
$799$	0.431873	0.0152786
$800$	0	0
$801$	−9.97189	−0.352339
$802$	−2.61686	−0.0924045
$803$	15.1444	0.534434
$804$	6.67132	0.235279
$805$	0	0
$806$	8.42047	0.296598
$807$	14.9476	0.526180
$808$	−10.6543	−0.374816
$809$	47.9537	1.68596	0.842981	−	0.537944i	$-0.180799\pi$
$809$	47.9537	1.68596	0.842981	+	0.537944i	$0.180799\pi$
$810$	0	0
$811$	−28.8214	−1.01205	−0.506027	−	0.862517i	$-0.668887\pi$
$811$	−28.8214	−1.01205	−0.506027	+	0.862517i	$0.668887\pi$
$812$	−12.3740	−0.434242
$813$	−24.1187	−0.845881
$814$	18.9238	0.663280
$815$	0	0
$816$	0.129563	0.00453560
$817$	28.7266	1.00502
$818$	−20.4785	−0.716014
$819$	5.17194	0.180722
$820$	0	0
$821$	48.1851	1.68167	0.840835	−	0.541291i	$-0.182064\pi$
$821$	48.1851	1.68167	0.840835	+	0.541291i	$0.182064\pi$
$822$	−19.2956	−0.673011
$823$	−1.05231	−0.0366812	−0.0183406	−	0.999832i	$-0.505838\pi$
$823$	−1.05231	−0.0366812	−0.0183406	+	0.999832i	$0.505838\pi$
$824$	36.4207	1.26877
$825$	0	0
$826$	14.9435	0.519950
$827$	−4.58539	−0.159450	−0.0797249	−	0.996817i	$-0.525404\pi$
$827$	−4.58539	−0.159450	−0.0797249	+	0.996817i	$0.525404\pi$
$828$	−3.14693	−0.109363
$829$	−22.6716	−0.787419	−0.393709	−	0.919235i	$-0.628808\pi$
$829$	−22.6716	−0.787419	−0.393709	+	0.919235i	$0.628808\pi$
$830$	0	0
$831$	0.682813	0.0236865
$832$	14.5553	0.504614
$833$	−2.05295	−0.0711306
$834$	14.3621	0.497320
$835$	0	0
$836$	−30.3246	−1.04880
$837$	−2.92114	−0.100969
$838$	3.01604	0.104187
$839$	−36.5409	−1.26153	−0.630766	−	0.775973i	$-0.717259\pi$
$839$	−36.5409	−1.26153	−0.630766	+	0.775973i	$0.717259\pi$
$840$	0	0
$841$	11.1972	0.386109
$842$	−12.9451	−0.446117
$843$	0.795242	0.0273896
$844$	6.20115	0.213453
$845$	0	0
$846$	−0.835360	−0.0287203
$847$	3.01385	0.103557
$848$	1.81421	0.0623004
$849$	−29.0426	−0.996738
$850$	0	0
$851$	−15.1775	−0.520279
$852$	−2.09067	−0.0716253
$853$	6.57318	0.225061	0.112531	−	0.993648i	$-0.464104\pi$
$853$	6.57318	0.225061	0.112531	+	0.993648i	$0.464104\pi$
$854$	1.96747	0.0673254
$855$	0	0
$856$	−17.0153	−0.581572
$857$	33.9335	1.15915	0.579573	−	0.814920i	$-0.303219\pi$
$857$	33.9335	1.15915	0.579573	+	0.814920i	$0.303219\pi$
$858$	−10.3977	−0.354971
$859$	−34.1505	−1.16520	−0.582601	−	0.812759i	$-0.697965\pi$
$859$	−34.1505	−1.16520	−0.582601	+	0.812759i	$0.697965\pi$
$860$	0	0
$861$	−2.49324	−0.0849696
$862$	22.5117	0.766752
$863$	−1.17710	−0.0400690	−0.0200345	−	0.999799i	$-0.506378\pi$
$863$	−1.17710	−0.0400690	−0.0200345	+	0.999799i	$0.506378\pi$
$864$	−5.76762	−0.196218
$865$	0	0
$866$	4.55447	0.154767
$867$	−16.8135	−0.571016
$868$	5.70117	0.193510
$869$	−14.0550	−0.476784
$870$	0	0
$871$	−17.6788	−0.599024
$872$	38.0730	1.28931
$873$	3.19957	0.108289
$874$	−13.0337	−0.440870
$875$	0	0
$876$	−5.46724	−0.184721
$877$	23.3347	0.787957	0.393978	−	0.919120i	$-0.371098\pi$
$877$	23.3347	0.787957	0.393978	+	0.919120i	$0.371098\pi$
$878$	21.1803	0.714801
$879$	−1.78518	−0.0602127
$880$	0	0
$881$	46.8127	1.57716	0.788580	−	0.614932i	$-0.210817\pi$
$881$	46.8127	1.57716	0.788580	+	0.614932i	$0.210817\pi$
$882$	3.97097	0.133709
$883$	35.0578	1.17979	0.589895	−	0.807480i	$-0.299169\pi$
$883$	35.0578	1.17979	0.589895	+	0.807480i	$0.299169\pi$
$884$	−1.94060	−0.0652694
$885$	0	0
$886$	−22.7058	−0.762815
$887$	−41.0751	−1.37917	−0.689583	−	0.724206i	$-0.742206\pi$
$887$	−41.0751	−1.37917	−0.689583	+	0.724206i	$0.742206\pi$
$888$	−17.3243	−0.581366
$889$	−29.8723	−1.00189
$890$	0	0
$891$	3.60705	0.120841
$892$	−7.84246	−0.262585
$893$	6.45616	0.216047
$894$	5.09986	0.170565
$895$	0	0
$896$	12.0079	0.401155
$897$	8.33929	0.278441
$898$	−5.97643	−0.199436
$899$	−18.5204	−0.617689
$900$	0	0
$901$	2.61169	0.0870080
$902$	5.01243	0.166896
$903$	6.66889	0.221927
$904$	−9.33238	−0.310390
$905$	0	0
$906$	10.5432	0.350276
$907$	46.5063	1.54422	0.772109	−	0.635490i	$-0.219202\pi$
$907$	46.5063	1.54422	0.772109	+	0.635490i	$0.219202\pi$
$908$	−15.9009	−0.527691
$909$	−3.86233	−0.128106
$910$	0	0
$911$	−41.2207	−1.36570	−0.682851	−	0.730558i	$-0.739260\pi$
$911$	−41.2207	−1.36570	−0.682851	+	0.730558i	$0.739260\pi$
$912$	1.93686	0.0641358
$913$	20.9319	0.692745
$914$	−17.1702	−0.567940
$915$	0	0
$916$	34.3366	1.13451
$917$	−1.51894	−0.0501599
$918$	−0.360770	−0.0119072
$919$	−21.2777	−0.701887	−0.350944	−	0.936397i	$-0.614139\pi$
$919$	−21.2777	−0.701887	−0.350944	+	0.936397i	$0.614139\pi$
$920$	0	0
$921$	2.76651	0.0911598
$922$	−14.2832	−0.470393
$923$	5.54023	0.182359
$924$	−7.03988	−0.231595
$925$	0	0
$926$	13.0939	0.430293
$927$	13.2030	0.433645
$928$	−36.5674	−1.20038
$929$	−32.3268	−1.06061	−0.530304	−	0.847808i	$-0.677922\pi$
$929$	−32.3268	−1.06061	−0.530304	+	0.847808i	$0.677922\pi$
$930$	0	0
$931$	−30.6900	−1.00582
$932$	6.53892	0.214190
$933$	31.3933	1.02777
$934$	−0.975111	−0.0319066
$935$	0	0
$936$	9.51884	0.311133
$937$	−6.47728	−0.211603	−0.105802	−	0.994387i	$-0.533741\pi$
$937$	−6.47728	−0.211603	−0.105802	+	0.994387i	$0.533741\pi$
$938$	6.41447	0.209440
$939$	−15.3171	−0.499855
$940$	0	0
$941$	−18.2304	−0.594294	−0.297147	−	0.954832i	$-0.596035\pi$
$941$	−18.2304	−0.594294	−0.297147	+	0.954832i	$0.596035\pi$
$942$	4.40647	0.143571
$943$	−4.02013	−0.130913
$944$	−3.58062	−0.116539
$945$	0	0
$946$	−13.4072	−0.435904
$947$	31.6821	1.02953	0.514765	−	0.857331i	$-0.327879\pi$
$947$	31.6821	1.02953	0.514765	+	0.857331i	$0.327879\pi$
$948$	5.07396	0.164795
$949$	14.4880	0.470302
$950$	0	0
$951$	−12.1597	−0.394305
$952$	1.78556	0.0578702
$953$	−20.2485	−0.655915	−0.327957	−	0.944693i	$-0.606360\pi$
$953$	−20.2485	−0.655915	−0.327957	+	0.944693i	$0.606360\pi$
$954$	−5.05171	−0.163555
$955$	0	0
$956$	14.0147	0.453267
$957$	22.8692	0.739255
$958$	10.0068	0.323304
$959$	34.6200	1.11794
$960$	0	0
$961$	−22.4670	−0.724740
$962$	18.1037	0.583686
$963$	−6.16832	−0.198771
$964$	−5.54229	−0.178505
$965$	0	0
$966$	−3.02577	−0.0973526
$967$	36.4479	1.17209	0.586043	−	0.810280i	$-0.300685\pi$
$967$	36.4479	1.17209	0.586043	+	0.810280i	$0.300685\pi$
$968$	5.54692	0.178285
$969$	2.78824	0.0895713
$970$	0	0
$971$	−14.0132	−0.449704	−0.224852	−	0.974393i	$-0.572190\pi$
$971$	−14.0132	−0.449704	−0.224852	+	0.974393i	$0.572190\pi$
$972$	−1.30217	−0.0417672
$973$	−25.7685	−0.826099
$974$	−14.2311	−0.455995
$975$	0	0
$976$	−0.471426	−0.0150900
$977$	−10.7799	−0.344881	−0.172440	−	0.985020i	$-0.555165\pi$
$977$	−10.7799	−0.344881	−0.172440	+	0.985020i	$0.555165\pi$
$978$	−1.18411	−0.0378637
$979$	−35.9691	−1.14958
$980$	0	0
$981$	13.8020	0.440665
$982$	−10.1360	−0.323452
$983$	33.0650	1.05461	0.527304	−	0.849677i	$-0.323203\pi$
$983$	33.0650	1.05461	0.527304	+	0.849677i	$0.323203\pi$
$984$	−4.58876	−0.146284
$985$	0	0
$986$	−2.28733	−0.0728433
$987$	1.49880	0.0477073
$988$	−29.0104	−0.922943
$989$	10.7530	0.341925
$990$	0	0
$991$	−36.1188	−1.14735	−0.573675	−	0.819083i	$-0.694483\pi$
$991$	−36.1188	−1.14735	−0.573675	+	0.819083i	$0.694483\pi$
$992$	16.8480	0.534925
$993$	−25.9978	−0.825016
$994$	−2.01018	−0.0637590
$995$	0	0
$996$	−7.55657	−0.239439
$997$	−6.21095	−0.196703	−0.0983515	−	0.995152i	$-0.531357\pi$
$997$	−6.21095	−0.196703	−0.0983515	+	0.995152i	$0.531357\pi$
$998$	−33.2730	−1.05324
$999$	−6.28033	−0.198701

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	3525.2.a.z.1.3	✓	7
5.4	even	2		3525.2.a.ba.1.5	yes	7

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
3525.2.a.z.1.3	✓	7	1.1	even	1	trivial
3525.2.a.ba.1.5	yes	7	5.4	even	2

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:	\( N \)	\(=\)	\( 3525 = 3 \cdot 5^{2} \cdot 47 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3525.a (trivial)

\(f(q)\)	\(=\)	\(q-0.835360 q^{2} +1.00000 q^{3} -1.30217 q^{4} -0.835360 q^{6} +1.49880 q^{7} +2.75850 q^{8} +1.00000 q^{9} +O(q^{10})\)	\(q-0.835360 q^{2} +1.00000 q^{3} -1.30217 q^{4} -0.835360 q^{6} +1.49880 q^{7} +2.75850 q^{8} +1.00000 q^{9} +3.60705 q^{11} -1.30217 q^{12} +3.45073 q^{13} -1.25204 q^{14} +0.300002 q^{16} +0.431873 q^{17} -0.835360 q^{18} +6.45616 q^{19} +1.49880 q^{21} -3.01319 q^{22} +2.41668 q^{23} +2.75850 q^{24} -2.88260 q^{26} +1.00000 q^{27} -1.95170 q^{28} +6.34012 q^{29} -2.92114 q^{31} -5.76762 q^{32} +3.60705 q^{33} -0.360770 q^{34} -1.30217 q^{36} -6.28033 q^{37} -5.39322 q^{38} +3.45073 q^{39} -1.66349 q^{41} -1.25204 q^{42} +4.44949 q^{43} -4.69701 q^{44} -2.01880 q^{46} +1.00000 q^{47} +0.300002 q^{48} -4.75360 q^{49} +0.431873 q^{51} -4.49344 q^{52} +6.04735 q^{53} -0.835360 q^{54} +4.13444 q^{56} +6.45616 q^{57} -5.29629 q^{58} -11.9353 q^{59} -1.57141 q^{61} +2.44020 q^{62} +1.49880 q^{63} +4.21804 q^{64} -3.01319 q^{66} -5.12322 q^{67} -0.562374 q^{68} +2.41668 q^{69} +1.60553 q^{71} +2.75850 q^{72} +4.19855 q^{73} +5.24634 q^{74} -8.40703 q^{76} +5.40625 q^{77} -2.88260 q^{78} -3.89653 q^{79} +1.00000 q^{81} +1.38962 q^{82} +5.80304 q^{83} -1.95170 q^{84} -3.71693 q^{86} +6.34012 q^{87} +9.95008 q^{88} -9.97189 q^{89} +5.17194 q^{91} -3.14693 q^{92} -2.92114 q^{93} -0.835360 q^{94} -5.76762 q^{96} +3.19957 q^{97} +3.97097 q^{98} +3.60705 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 7 q - q^{2} + 7 q^{3} + 5 q^{4} - q^{6} + 7 q^{7} + 6 q^{8} + 7 q^{9}+O(q^{10}) \) 7 * q - q^2 + 7 * q^3 + 5 * q^4 - q^6 + 7 * q^7 + 6 * q^8 + 7 * q^9	\( 7 q - q^{2} + 7 q^{3} + 5 q^{4} - q^{6} + 7 q^{7} + 6 q^{8} + 7 q^{9} + 5 q^{12} + 5 q^{13} + 7 q^{14} + 9 q^{16} + 2 q^{17} - q^{18} - 13 q^{19} + 7 q^{21} - 14 q^{22} + 6 q^{23} + 6 q^{24} + 7 q^{27} + 30 q^{28} + 9 q^{29} + 5 q^{31} + 26 q^{32} - 8 q^{34} + 5 q^{36} - 5 q^{37} - 2 q^{38} + 5 q^{39} + 18 q^{41} + 7 q^{42} + 14 q^{43} + 17 q^{44} - 27 q^{46} + 7 q^{47} + 9 q^{48} + 14 q^{49} + 2 q^{51} - 3 q^{52} + 20 q^{53} - q^{54} + 17 q^{56} - 13 q^{57} + 37 q^{58} + 10 q^{59} - 8 q^{61} - 6 q^{62} + 7 q^{63} + 18 q^{64} - 14 q^{66} + 4 q^{67} + 10 q^{68} + 6 q^{69} + 12 q^{71} + 6 q^{72} + 4 q^{73} - 25 q^{74} - 66 q^{76} + 6 q^{77} - 5 q^{79} + 7 q^{81} - 29 q^{82} + 52 q^{83} + 30 q^{84} - 17 q^{86} + 9 q^{87} + 26 q^{88} + 32 q^{89} - 26 q^{91} - 17 q^{92} + 5 q^{93} - q^{94} + 26 q^{96} - 12 q^{97} + 40 q^{98}+O(q^{100}) \) 7 * q - q^2 + 7 * q^3 + 5 * q^4 - q^6 + 7 * q^7 + 6 * q^8 + 7 * q^9 + 5 * q^12 + 5 * q^13 + 7 * q^14 + 9 * q^16 + 2 * q^17 - q^18 - 13 * q^19 + 7 * q^21 - 14 * q^22 + 6 * q^23 + 6 * q^24 + 7 * q^27 + 30 * q^28 + 9 * q^29 + 5 * q^31 + 26 * q^32 - 8 * q^34 + 5 * q^36 - 5 * q^37 - 2 * q^38 + 5 * q^39 + 18 * q^41 + 7 * q^42 + 14 * q^43 + 17 * q^44 - 27 * q^46 + 7 * q^47 + 9 * q^48 + 14 * q^49 + 2 * q^51 - 3 * q^52 + 20 * q^53 - q^54 + 17 * q^56 - 13 * q^57 + 37 * q^58 + 10 * q^59 - 8 * q^61 - 6 * q^62 + 7 * q^63 + 18 * q^64 - 14 * q^66 + 4 * q^67 + 10 * q^68 + 6 * q^69 + 12 * q^71 + 6 * q^72 + 4 * q^73 - 25 * q^74 - 66 * q^76 + 6 * q^77 - 5 * q^79 + 7 * q^81 - 29 * q^82 + 52 * q^83 + 30 * q^84 - 17 * q^86 + 9 * q^87 + 26 * q^88 + 32 * q^89 - 26 * q^91 - 17 * q^92 + 5 * q^93 - q^94 + 26 * q^96 - 12 * q^97 + 40 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more