LMFDB - Embedded newform 810.3.b.c.809.13

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [810,3,Mod(809,810)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(810, base_ring=CyclotomicField(2))

chi = DirichletCharacter(H, H._module([1, 1]))

N = Newforms(chi, 3, names="a")

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

chi := DirichletCharacter("810.809");

S:= CuspForms(chi, 3);

N := Newforms(S);

Level:	$ N $	$=$	$ 810 = 2 \cdot 3^{4} \cdot 5 $
Weight:	$ k $	$=$	$ 3 $
Character orbit:	$[\chi]$	$=$	810.b (of order $2$, degree $1$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$22.0709014132$
Analytic rank:	$0$
Dimension:	$24$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{2}]$

Embedding invariants

Embedding label			809.13
Character	$\chi$	$=$	810.809
Dual form			810.3.b.c.809.14

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+1.41421 q^{2} +2.00000 q^{4} +(-4.99998 - 0.0147805i) q^{5} +5.91951i q^{7} +2.82843 q^{8} +O(q^{10})$	\(q+1.41421 q^{2} +2.00000 q^{4} +(-4.99998 - 0.0147805i) q^{5} +5.91951i q^{7} +2.82843 q^{8} +(-7.07104 - 0.0209028i) q^{10} -3.80976i q^{11} -22.2295i q^{13} +8.37146i q^{14} +4.00000 q^{16} +1.20411 q^{17} +29.3606 q^{19} +(-9.99996 - 0.0295610i) q^{20} -5.38781i q^{22} +16.1421 q^{23} +(24.9996 + 0.147805i) q^{25} -31.4373i q^{26} +11.8390i q^{28} +45.2869i q^{29} +43.7756 q^{31} +5.65685 q^{32} +1.70287 q^{34} +(0.0874935 - 29.5974i) q^{35} +48.4190i q^{37} +41.5221 q^{38} +(-14.1421 - 0.0418056i) q^{40} +2.72108i q^{41} +19.9856i q^{43} -7.61952i q^{44} +22.8284 q^{46} +24.2985 q^{47} +13.9594 q^{49} +(35.3547 + 0.209027i) q^{50} -44.4590i q^{52} +10.8425 q^{53} +(-0.0563102 + 19.0487i) q^{55} +16.7429i q^{56} +64.0454i q^{58} -19.3890i q^{59} +18.3991 q^{61} +61.9081 q^{62} +8.00000 q^{64} +(-0.328564 + 111.147i) q^{65} -83.1289i q^{67} +2.40822 q^{68} +(0.123734 - 41.8571i) q^{70} -121.784i q^{71} -105.116i q^{73} +68.4748i q^{74} +58.7212 q^{76} +22.5519 q^{77} +94.2105 q^{79} +(-19.9999 - 0.0591221i) q^{80} +3.84818i q^{82} -94.6426 q^{83} +(-6.02052 - 0.0177973i) q^{85} +28.2639i q^{86} -10.7756i q^{88} -132.665i q^{89} +131.588 q^{91} +32.2843 q^{92} +34.3633 q^{94} +(-146.802 - 0.433965i) q^{95} +119.009i q^{97} +19.7415 q^{98} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 24 q + 48 q^{4}+O(q^{10}) $ 24 * q + 48 * q^4	$ 24 q + 48 q^{4} - 12 q^{10} + 96 q^{16} - 48 q^{25} - 120 q^{34} - 24 q^{40} + 72 q^{49} + 216 q^{55} + 120 q^{61} + 192 q^{64} + 192 q^{70} + 480 q^{79} + 444 q^{85} + 48 q^{91} + 96 q^{94}+O(q^{100}) $ 24 * q + 48 * q^4 - 12 * q^10 + 96 * q^16 - 48 * q^25 - 120 * q^34 - 24 * q^40 + 72 * q^49 + 216 * q^55 + 120 * q^61 + 192 * q^64 + 192 * q^70 + 480 * q^79 + 444 * q^85 + 48 * q^91 + 96 * q^94

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/810\mathbb{Z}\right)^\times$.

$n$	$487$	$731$
$\chi(n)$	$-1$	$-1$

Coefficient data

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

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

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

$2$	1.41421			0.707107
$2$	1.41421			0.707107
$3$		0			0
$3$		0			0
$4$	2.00000			0.500000
$5$	−4.99998	−	0.0147805i	−0.999996	−	0.00295610i
$5$	−4.99998	−	0.0147805i	−0.999996	−	0.00295610i
$6$		0			0
$7$			5.91951i			0.845645i	0.906213	+	0.422822i	$0.138961\pi$
$7$			5.91951i			0.845645i	−0.906213	+	0.422822i	$0.861039\pi$
$8$	2.82843			0.353553
$9$		0			0
$10$	−7.07104	−	0.0209028i	−0.707104	−	0.00209028i
$11$		−	3.80976i		−	0.346342i	−0.984892	−	0.173171i	$-0.944599\pi$
$11$		−	3.80976i		−	0.346342i	0.984892	−	0.173171i	$-0.0554013\pi$
$12$		0			0
$13$		−	22.2295i		−	1.70996i	−0.518658	−	0.854982i	$-0.673568\pi$
$13$		−	22.2295i		−	1.70996i	0.518658	−	0.854982i	$-0.326432\pi$
$14$			8.37146i			0.597961i
$15$		0			0
$16$	4.00000			0.250000
$17$	1.20411			0.0708299			0.0354150	−	0.999373i	$-0.488725\pi$
$17$	1.20411			0.0708299			0.0354150	+	0.999373i	$0.488725\pi$
$18$		0			0
$19$	29.3606			1.54529			0.772647	−	0.634836i	$-0.218932\pi$
$19$	29.3606			1.54529			0.772647	+	0.634836i	$0.218932\pi$
$20$	−9.99996	−	0.0295610i	−0.499998	−	0.00147805i
$21$		0			0
$22$		−	5.38781i		−	0.244901i
$23$	16.1421			0.701832			0.350916	−	0.936407i	$-0.385870\pi$
$23$	16.1421			0.701832			0.350916	+	0.936407i	$0.385870\pi$
$24$		0			0
$25$	24.9996	+	0.147805i	0.999983	+	0.00591218i
$26$		−	31.4373i		−	1.20913i
$27$		0			0
$28$			11.8390i			0.422822i
$29$			45.2869i			1.56162i	0.624770	+	0.780809i	$0.285193\pi$
$29$			45.2869i			1.56162i	−0.624770	+	0.780809i	$0.714807\pi$
$30$		0			0
$31$	43.7756			1.41212			0.706059	−	0.708153i	$-0.250471\pi$
$31$	43.7756			1.41212			0.706059	+	0.708153i	$0.250471\pi$
$32$	5.65685			0.176777
$33$		0			0
$34$	1.70287			0.0500843
$35$	0.0874935	−	29.5974i	0.00249981	−	0.845641i
$36$		0			0
$37$			48.4190i			1.30862i	0.756226	+	0.654311i	$0.227041\pi$
$37$			48.4190i			1.30862i	−0.756226	+	0.654311i	$0.772959\pi$
$38$	41.5221			1.09269
$39$		0			0
$40$	−14.1421	−	0.0418056i	−0.353552	−	0.00104514i
$41$			2.72108i			0.0663677i	0.999449	+	0.0331838i	$0.0105647\pi$
$41$			2.72108i			0.0663677i	−0.999449	+	0.0331838i	$0.989435\pi$
$42$		0			0
$43$			19.9856i			0.464781i	0.972623	+	0.232391i	$0.0746548\pi$
$43$			19.9856i			0.464781i	−0.972623	+	0.232391i	$0.925345\pi$
$44$		−	7.61952i		−	0.173171i
$45$		0			0
$46$	22.8284			0.496270
$47$	24.2985			0.516989			0.258495	−	0.966013i	$-0.416774\pi$
$47$	24.2985			0.516989			0.258495	+	0.966013i	$0.416774\pi$
$48$		0			0
$49$	13.9594			0.284885
$50$	35.3547	+	0.209027i	0.707094	+	0.00418054i
$51$		0			0
$52$		−	44.4590i		−	0.854982i
$53$	10.8425			0.204576			0.102288	−	0.994755i	$-0.467384\pi$
$53$	10.8425			0.204576			0.102288	+	0.994755i	$0.467384\pi$
$54$		0			0
$55$	−0.0563102	+	19.0487i	−0.00102382	+	0.346340i
$56$			16.7429i			0.298981i
$57$		0			0
$58$			64.0454i			1.10423i
$59$		−	19.3890i		−	0.328626i	−0.986408	−	0.164313i	$-0.947459\pi$
$59$		−	19.3890i		−	0.328626i	0.986408	−	0.164313i	$-0.0525408\pi$
$60$		0			0
$61$	18.3991			0.301624			0.150812	−	0.988562i	$-0.451811\pi$
$61$	18.3991			0.301624			0.150812	+	0.988562i	$0.451811\pi$
$62$	61.9081			0.998518
$63$		0			0
$64$	8.00000			0.125000
$65$	−0.328564	+	111.147i	−0.00505483	+	1.70996i
$66$		0			0
$67$		−	83.1289i		−	1.24073i	−0.784313	−	0.620365i	$-0.786985\pi$
$67$		−	83.1289i		−	1.24073i	0.784313	−	0.620365i	$-0.213015\pi$
$68$	2.40822			0.0354150
$69$		0			0
$70$	0.123734	−	41.8571i	0.00176764	−	0.597959i
$71$		−	121.784i		−	1.71527i	−0.514258	−	0.857635i	$-0.671933\pi$
$71$		−	121.784i		−	1.71527i	0.514258	−	0.857635i	$-0.328067\pi$
$72$		0			0
$73$		−	105.116i		−	1.43994i	−0.694003	−	0.719972i	$-0.744155\pi$
$73$		−	105.116i		−	1.43994i	0.694003	−	0.719972i	$-0.255845\pi$
$74$			68.4748i			0.925335i
$75$		0			0
$76$	58.7212			0.772647
$77$	22.5519			0.292882
$78$		0			0
$79$	94.2105			1.19254			0.596269	−	0.802785i	$-0.296649\pi$
$79$	94.2105			1.19254			0.596269	+	0.802785i	$0.296649\pi$
$80$	−19.9999	−	0.0591221i	−0.249999	−	0.000739026i
$81$		0			0
$82$			3.84818i			0.0469290i
$83$	−94.6426			−1.14027			−0.570136	−	0.821550i	$-0.693110\pi$
$83$	−94.6426			−1.14027			−0.570136	+	0.821550i	$0.693110\pi$
$84$		0			0
$85$	−6.02052	−	0.0177973i	−0.0708296	−	0.000209381i
$86$			28.2639i			0.328650i
$87$		0			0
$88$		−	10.7756i		−	0.122450i
$89$		−	132.665i		−	1.49062i	−0.666718	−	0.745310i	$-0.732302\pi$
$89$		−	132.665i		−	1.49062i	0.666718	−	0.745310i	$-0.267698\pi$
$90$		0			0
$91$	131.588			1.44602
$92$	32.2843			0.350916
$93$		0			0
$94$	34.3633			0.365567
$95$	−146.802	−	0.433965i	−1.54529	−	0.00456805i
$96$		0			0
$97$			119.009i			1.22689i	0.789736	+	0.613447i	$0.210217\pi$
$97$			119.009i			1.22689i	−0.789736	+	0.613447i	$0.789783\pi$
$98$	19.7415			0.201444
$99$		0			0
$100$	49.9991	+	0.295609i	0.499991	+	0.00295609i
$101$			23.8005i			0.235648i	0.993034	+	0.117824i	$0.0375919\pi$
$101$			23.8005i			0.235648i	−0.993034	+	0.117824i	$0.962408\pi$
$102$		0			0
$103$		−	4.12865i		−	0.0400840i	−0.999799	−	0.0200420i	$-0.993620\pi$
$103$		−	4.12865i		−	0.0400840i	0.999799	−	0.0200420i	$-0.00637999\pi$
$104$		−	62.8746i		−	0.604563i
$105$		0			0
$106$	15.3337			0.144657
$107$	−117.008			−1.09353			−0.546765	−	0.837286i	$-0.684141\pi$
$107$	−117.008			−1.09353			−0.546765	+	0.837286i	$0.684141\pi$
$108$		0			0
$109$	−84.3413			−0.773774			−0.386887	−	0.922127i	$-0.626450\pi$
$109$	−84.3413			−0.773774			−0.386887	+	0.922127i	$0.626450\pi$
$110$	−0.0796347	+	26.9389i	−0.000723951	+	0.244900i
$111$		0			0
$112$			23.6781i			0.211411i
$113$	−80.1454			−0.709251			−0.354626	−	0.935008i	$-0.615392\pi$
$113$	−80.1454			−0.709251			−0.354626	+	0.935008i	$0.615392\pi$
$114$		0			0
$115$	−80.7104	−	0.238589i	−0.701829	−	0.00207469i
$116$			90.5738i			0.780809i
$117$		0			0
$118$		−	27.4201i		−	0.232374i
$119$			7.12774i			0.0598970i
$120$		0			0
$121$	106.486			0.880047
$122$	26.0202			0.213281
$123$		0			0
$124$	87.5513			0.706059
$125$	−124.995	−	1.10853i	−0.999961	−	0.00886821i
$126$		0			0
$127$			91.3285i			0.719122i	0.933122	+	0.359561i	$0.117074\pi$
$127$			91.3285i			0.719122i	−0.933122	+	0.359561i	$0.882926\pi$
$128$	11.3137			0.0883883
$129$		0			0
$130$	−0.464659	+	157.186i	−0.00357430	+	1.20912i
$131$			227.949i			1.74007i	0.492992	+	0.870034i	$0.335903\pi$
$131$			227.949i			1.74007i	−0.492992	+	0.870034i	$0.664097\pi$
$132$		0			0
$133$			173.800i			1.30677i
$134$		−	117.562i		−	0.877329i
$135$		0			0
$136$	3.40573			0.0250422
$137$	−122.719			−0.895758			−0.447879	−	0.894094i	$-0.647820\pi$
$137$	−122.719			−0.895758			−0.447879	+	0.894094i	$0.647820\pi$
$138$		0			0
$139$	−38.4803			−0.276837			−0.138418	−	0.990374i	$-0.544202\pi$
$139$	−38.4803			−0.276837			−0.138418	+	0.990374i	$0.544202\pi$
$140$	0.174987	−	59.1949i	0.00124991	−	0.422821i
$141$		0			0
$142$		−	172.229i		−	1.21288i
$143$	−84.6891			−0.592232
$144$		0			0
$145$	0.669364	−	226.434i	0.00461630	−	1.56161i
$146$		−	148.656i		−	1.01819i
$147$		0			0
$148$			96.8380i			0.654311i
$149$		−	7.49468i		−	0.0502998i	−0.999684	−	0.0251499i	$-0.991994\pi$
$149$		−	7.49468i		−	0.0502998i	0.999684	−	0.0251499i	$-0.00800631\pi$
$150$		0			0
$151$	217.233			1.43863			0.719315	−	0.694684i	$-0.244456\pi$
$151$	217.233			1.43863			0.719315	+	0.694684i	$0.244456\pi$
$152$	83.0443			0.546344
$153$		0			0
$154$	31.8932			0.207099
$155$	−218.877	−	0.647027i	−1.41211	−	0.00417437i
$156$		0			0
$157$		−	177.337i		−	1.12953i	−0.825250	−	0.564767i	$-0.808966\pi$
$157$		−	177.337i		−	1.12953i	0.825250	−	0.564767i	$-0.191034\pi$
$158$	133.234			0.843251
$159$		0			0
$160$	−28.2841	−	0.0836112i	−0.176776	−	0.000522570i
$161$			95.5537i			0.593501i
$162$		0			0
$163$		−	42.6651i		−	0.261749i	−0.991399	−	0.130875i	$-0.958221\pi$
$163$		−	42.6651i		−	0.261749i	0.991399	−	0.130875i	$-0.0417785\pi$
$164$			5.44215i			0.0331838i
$165$		0			0
$166$	−133.845			−0.806294
$167$	73.9872			0.443037			0.221519	−	0.975156i	$-0.428899\pi$
$167$	73.9872			0.443037			0.221519	+	0.975156i	$0.428899\pi$
$168$		0			0
$169$	−325.152			−1.92397
$170$	−8.51430	−	0.0251693i	−0.0500841	−	0.000148054i
$171$		0			0
$172$			39.9712i			0.232391i
$173$	153.745			0.888701			0.444351	−	0.895853i	$-0.353434\pi$
$173$	153.745			0.888701			0.444351	+	0.895853i	$0.353434\pi$
$174$		0			0
$175$	−0.874931	+	147.985i	−0.00499961	+	0.845630i
$176$		−	15.2390i		−	0.0865854i
$177$		0			0
$178$		−	187.617i		−	1.05403i
$179$			292.469i			1.63390i	0.576706	+	0.816951i	$0.304338\pi$
$179$			292.469i			1.63390i	−0.576706	+	0.816951i	$0.695662\pi$
$180$		0			0
$181$	45.0019			0.248629			0.124315	−	0.992243i	$-0.460327\pi$
$181$	45.0019			0.248629			0.124315	+	0.992243i	$0.460327\pi$
$182$	186.093			1.02249
$183$		0			0
$184$	45.6569			0.248135
$185$	0.715658	−	242.094i	0.00386842	−	1.30862i
$186$		0			0
$187$		−	4.58736i		−	0.0245314i
$188$	48.5970			0.258495
$189$		0			0
$190$	−207.610	−	0.613719i	−1.09268	−	0.00323010i
$191$		−	188.716i		−	0.988040i	−0.869451	−	0.494020i	$-0.835527\pi$
$191$		−	188.716i		−	0.988040i	0.869451	−	0.494020i	$-0.164473\pi$
$192$		0			0
$193$			90.8810i			0.470886i	0.971888	+	0.235443i	$0.0756541\pi$
$193$			90.8810i			0.470886i	−0.971888	+	0.235443i	$0.924346\pi$
$194$			168.304i			0.867545i
$195$		0			0
$196$	27.9187			0.142442
$197$	321.126			1.63008			0.815040	−	0.579405i	$-0.196715\pi$
$197$	321.126			1.63008			0.815040	+	0.579405i	$0.196715\pi$
$198$		0			0
$199$	−22.7423			−0.114283			−0.0571414	−	0.998366i	$-0.518199\pi$
$199$	−22.7423			−0.114283			−0.0571414	+	0.998366i	$0.518199\pi$
$200$	70.7094	+	0.418054i	0.353547	+	0.00209027i
$201$		0			0
$202$			33.6589i			0.166628i
$203$	−268.077			−1.32057
$204$		0			0
$205$	0.0402189	−	13.6053i	0.000196190	−	0.0663674i
$206$		−	5.83879i		−	0.0283437i
$207$		0			0
$208$		−	88.9181i		−	0.427491i
$209$		−	111.857i		−	0.535200i
$210$		0			0
$211$	−79.9216			−0.378776			−0.189388	−	0.981902i	$-0.560650\pi$
$211$	−79.9216			−0.378776			−0.189388	+	0.981902i	$0.560650\pi$
$212$	21.6851			0.102288
$213$		0			0
$214$	−165.474			−0.773242
$215$	0.295398	−	99.9276i	0.00137394	−	0.464779i
$216$		0			0
$217$			259.131i			1.19415i
$218$	−119.277			−0.547141
$219$		0			0
$220$	−0.112620	+	38.0974i	−0.000511911	+	0.173170i
$221$		−	26.7668i		−	0.121117i
$222$		0			0
$223$		−	65.6593i		−	0.294436i	−0.989104	−	0.147218i	$-0.952968\pi$
$223$		−	65.6593i		−	0.294436i	0.989104	−	0.147218i	$-0.0470319\pi$
$224$			33.4858i			0.149490i
$225$		0			0
$226$	−113.343			−0.501516
$227$	367.704			1.61984			0.809921	−	0.586538i	$-0.199510\pi$
$227$	367.704			1.61984			0.809921	+	0.586538i	$0.199510\pi$
$228$		0			0
$229$	−299.641			−1.30848			−0.654238	−	0.756288i	$-0.727011\pi$
$229$	−299.641			−1.30848			−0.654238	+	0.756288i	$0.727011\pi$
$230$	−114.142	−	0.337416i	−0.496268	−	0.00146703i
$231$		0			0
$232$			128.091i			0.552115i
$233$	−227.228			−0.975229			−0.487614	−	0.873059i	$-0.662133\pi$
$233$	−227.228			−0.975229			−0.487614	+	0.873059i	$0.662133\pi$
$234$		0			0
$235$	−121.492	−	0.359144i	−0.516987	−	0.00152827i
$236$		−	38.7779i		−	0.164313i
$237$		0			0
$238$			10.0801i			0.0423536i
$239$		−	189.818i		−	0.794218i	−0.917772	−	0.397109i	$-0.870014\pi$
$239$		−	189.818i		−	0.794218i	0.917772	−	0.397109i	$-0.129986\pi$
$240$		0			0
$241$	90.9556			0.377409			0.188705	−	0.982034i	$-0.439571\pi$
$241$	90.9556			0.377409			0.188705	+	0.982034i	$0.439571\pi$
$242$	150.594			0.622287
$243$		0			0
$244$	36.7982			0.150812
$245$	−69.7964	−	0.206326i	−0.284883	−	0.000842149i
$246$		0			0
$247$		−	652.672i		−	2.64240i
$248$	123.816			0.499259
$249$		0			0
$250$	−176.770	−	1.56769i	−0.707079	−	0.00627077i
$251$			386.041i			1.53801i	0.639242	+	0.769005i	$0.279248\pi$
$251$			386.041i			1.53801i	−0.639242	+	0.769005i	$0.720752\pi$
$252$		0			0
$253$		−	61.4977i		−	0.243074i
$254$			129.158i			0.508496i
$255$		0			0
$256$	16.0000			0.0625000
$257$	346.316			1.34753			0.673766	−	0.738945i	$-0.264675\pi$
$257$	346.316			1.34753			0.673766	+	0.738945i	$0.264675\pi$
$258$		0			0
$259$	−286.617			−1.10663
$260$	−0.657128	+	222.294i	−0.00252741	+	0.854978i
$261$		0			0
$262$			322.368i			1.23041i
$263$	−433.471			−1.64818			−0.824090	−	0.566459i	$-0.808313\pi$
$263$	−433.471			−1.64818			−0.824090	+	0.566459i	$0.808313\pi$
$264$		0			0
$265$	−54.2124	−	0.160258i	−0.204575	−	0.000604748i
$266$			245.791i			0.924026i
$267$		0			0
$268$		−	166.258i		−	0.620365i
$269$			456.780i			1.69807i	0.528340	+	0.849033i	$0.322815\pi$
$269$			456.780i			1.69807i	−0.528340	+	0.849033i	$0.677185\pi$
$270$		0			0
$271$	−321.543			−1.18651			−0.593253	−	0.805016i	$-0.702156\pi$
$271$	−321.543			−1.18651			−0.593253	+	0.805016i	$0.702156\pi$
$272$	4.81644			0.0177075
$273$		0			0
$274$	−173.551			−0.633396
$275$	0.563100	−	95.2423i	0.00204763	−	0.346336i
$276$		0			0
$277$			331.446i			1.19656i	0.801288	+	0.598278i	$0.204148\pi$
$277$			331.446i			1.19656i	−0.801288	+	0.598278i	$0.795852\pi$
$278$	−54.4193			−0.195753
$279$		0			0
$280$	0.247469	−	83.7142i	0.000883818	−	0.298979i
$281$		−	473.198i		−	1.68398i	−0.539495	−	0.841989i	$-0.681385\pi$
$281$		−	473.198i		−	1.68398i	0.539495	−	0.841989i	$-0.318615\pi$
$282$		0			0
$283$		−	30.3931i		−	0.107396i	−0.998557	−	0.0536980i	$-0.982899\pi$
$283$		−	30.3931i		−	0.107396i	0.998557	−	0.0536980i	$-0.0171008\pi$
$284$		−	243.568i		−	0.857635i
$285$		0			0
$286$	−119.768			−0.418771
$287$	−16.1074			−0.0561235
$288$		0			0
$289$	−287.550			−0.994983
$290$	0.946624	−	320.225i	0.00326422	−	1.10423i
$291$		0			0
$292$		−	210.232i		−	0.719972i
$293$	−25.0162			−0.0853796			−0.0426898	−	0.999088i	$-0.513593\pi$
$293$	−25.0162			−0.0853796			−0.0426898	+	0.999088i	$0.513593\pi$
$294$		0			0
$295$	−0.286579	+	96.9444i	−0.000971454	+	0.328625i
$296$			136.950i			0.462668i
$297$		0			0
$298$		−	10.5991i		−	0.0355674i
$299$		−	358.832i		−	1.20011i
$300$		0			0
$301$	−118.305			−0.393040
$302$	307.214			1.01726
$303$		0			0
$304$	117.442			0.386324
$305$	−91.9950	−	0.271948i	−0.301623	−	0.000891633i
$306$		0			0
$307$			596.302i			1.94235i	0.238365	+	0.971176i	$0.423389\pi$
$307$			596.302i			1.94235i	−0.238365	+	0.971176i	$0.576611\pi$
$308$	45.1038			0.146441
$309$		0			0
$310$	−309.539	−	0.915034i	−0.998514	−	0.00295172i
$311$			54.3049i			0.174614i	0.996181	+	0.0873070i	$0.0278261\pi$
$311$			54.3049i			0.174614i	−0.996181	+	0.0873070i	$0.972174\pi$
$312$		0			0
$313$			161.429i			0.515748i	0.966179	+	0.257874i	$0.0830219\pi$
$313$			161.429i			0.515748i	−0.966179	+	0.257874i	$0.916978\pi$
$314$		−	250.792i		−	0.798702i
$315$		0			0
$316$	188.421			0.596269
$317$	272.583			0.859884			0.429942	−	0.902856i	$-0.358534\pi$
$317$	272.583			0.859884			0.429942	+	0.902856i	$0.358534\pi$
$318$		0			0
$319$	172.532			0.540853
$320$	−39.9998	−	0.118244i	−0.124999	−	0.000369513i
$321$		0			0
$322$			135.133i			0.419669i
$323$	35.3533			0.109453
$324$		0			0
$325$	3.28562	−	555.728i	0.0101096	−	1.70993i
$326$		−	60.3376i		−	0.185085i
$327$		0			0
$328$			7.69636i			0.0234645i
$329$			143.835i			0.437189i
$330$		0			0
$331$	−528.713			−1.59732			−0.798660	−	0.601783i	$-0.794457\pi$
$331$	−528.713			−1.59732			−0.798660	+	0.601783i	$0.794457\pi$
$332$	−189.285			−0.570136
$333$		0			0
$334$	104.634			0.313274
$335$	−1.22869	+	415.643i	−0.00366773	+	1.24072i
$336$		0			0
$337$		−	389.857i		−	1.15685i	−0.815737	−	0.578423i	$-0.803668\pi$
$337$		−	389.857i		−	1.15685i	0.815737	−	0.578423i	$-0.196332\pi$
$338$	−459.834			−1.36046
$339$		0			0
$340$	−12.0410	−	0.0355947i	−0.0354148	−	0.000104690i
$341$		−	166.775i		−	0.489075i
$342$		0			0
$343$			372.689i			1.08656i
$344$			56.5278i			0.164325i
$345$		0			0
$346$	217.429			0.628407
$347$	−120.402			−0.346980			−0.173490	−	0.984836i	$-0.555504\pi$
$347$	−120.402			−0.346980			−0.173490	+	0.984836i	$0.555504\pi$
$348$		0			0
$349$	548.275			1.57099			0.785494	−	0.618870i	$-0.212409\pi$
$349$	548.275			1.57099			0.785494	+	0.618870i	$0.212409\pi$
$350$	−1.23734	+	209.283i	−0.00353525	+	0.597951i
$351$		0			0
$352$		−	21.5513i		−	0.0612251i
$353$	293.335			0.830978			0.415489	−	0.909598i	$-0.363610\pi$
$353$	293.335			0.830978			0.415489	+	0.909598i	$0.363610\pi$
$354$		0			0
$355$	−1.80003	+	608.918i	−0.00507052	+	1.71526i
$356$		−	265.330i		−	0.745310i
$357$		0			0
$358$			413.613i			1.15534i
$359$		−	15.8718i		−	0.0442110i	−0.999756	−	0.0221055i	$-0.992963\pi$
$359$		−	15.8718i		−	0.0442110i	0.999756	−	0.0221055i	$-0.00703698\pi$
$360$		0			0
$361$	501.044			1.38793
$362$	63.6423			0.175807
$363$		0			0
$364$	263.176			0.723011
$365$	−1.55367	+	525.577i	−0.00425662	+	1.43994i
$366$		0			0
$367$		−	592.583i		−	1.61467i	−0.590094	−	0.807334i	$-0.700909\pi$
$367$		−	592.583i		−	1.61467i	0.590094	−	0.807334i	$-0.299091\pi$
$368$	64.5686			0.175458
$369$		0			0
$370$	1.01209	−	342.373i	0.00273539	−	0.925331i
$371$			64.1825i			0.172999i
$372$		0			0
$373$			379.589i			1.01766i	0.860866	+	0.508832i	$0.169923\pi$
$373$			379.589i			1.01766i	−0.860866	+	0.508832i	$0.830077\pi$
$374$		−	6.48751i		−	0.0173463i
$375$		0			0
$376$	68.7265			0.182783
$377$	1006.71			2.67031
$378$		0			0
$379$	−493.432			−1.30193			−0.650966	−	0.759107i	$-0.725636\pi$
$379$	−493.432			−1.30193			−0.650966	+	0.759107i	$0.725636\pi$
$380$	−293.605	−	0.867929i	−0.772644	−	0.00228402i
$381$		0			0
$382$		−	266.884i		−	0.698650i
$383$	304.303			0.794524			0.397262	−	0.917705i	$-0.369960\pi$
$383$	304.303			0.794524			0.397262	+	0.917705i	$0.369960\pi$
$384$		0			0
$385$	−112.759	−	0.333329i	−0.292881	−	0.000865790i
$386$			128.525i			0.332967i
$387$		0			0
$388$			238.017i			0.613447i
$389$		−	451.981i		−	1.16190i	−0.813938	−	0.580952i	$-0.802680\pi$
$389$		−	451.981i		−	1.16190i	0.813938	−	0.580952i	$-0.197320\pi$
$390$		0			0
$391$	19.4369			0.0497107
$392$	39.4830			0.100722
$393$		0			0
$394$	454.140			1.15264
$395$	−471.050	−	1.39248i	−1.19253	−	0.00352526i
$396$		0			0
$397$		−	316.160i		−	0.796373i	−0.917304	−	0.398187i	$-0.869640\pi$
$397$		−	316.160i		−	0.796373i	0.917304	−	0.398187i	$-0.130360\pi$
$398$	−32.1624			−0.0808101
$399$		0			0
$400$	99.9983	+	0.591218i	0.249996	+	0.00147805i
$401$			76.3843i			0.190485i	0.995454	+	0.0952423i	$0.0303626\pi$
$401$			76.3843i			0.190485i	−0.995454	+	0.0952423i	$0.969637\pi$
$402$		0			0
$403$		−	973.112i		−	2.41467i
$404$			47.6009i			0.117824i
$405$		0			0
$406$	−379.117			−0.933787
$407$	184.465			0.453230
$408$		0			0
$409$	−433.545			−1.06001			−0.530006	−	0.847994i	$-0.677810\pi$
$409$	−433.545			−1.06001			−0.530006	+	0.847994i	$0.677810\pi$
$410$	0.0568781	−	19.2408i	0.000138727	−	0.0469288i
$411$		0			0
$412$		−	8.25730i		−	0.0200420i
$413$	114.773			0.277901
$414$		0			0
$415$	473.211	+	1.39887i	1.14027	+	0.00337076i
$416$		−	125.749i		−	0.302282i
$417$		0			0
$418$		−	158.189i		−	0.378443i
$419$		−	158.961i		−	0.379383i	−0.981844	−	0.189691i	$-0.939251\pi$
$419$		−	158.961i		−	0.379383i	0.981844	−	0.189691i	$-0.0607488\pi$
$420$		0			0
$421$	−32.0663			−0.0761669			−0.0380834	−	0.999275i	$-0.512125\pi$
$421$	−32.0663			−0.0761669			−0.0380834	+	0.999275i	$0.512125\pi$
$422$	−113.026			−0.267835
$423$		0			0
$424$	30.6673			0.0723285
$425$	30.1022	+	0.177973i	0.0708287	+	0.000418759i
$426$		0			0
$427$			108.914i			0.255067i
$428$	−234.015			−0.546765
$429$		0			0
$430$	0.417755	−	141.319i	0.000971524	−	0.328649i
$431$		−	636.866i		−	1.47765i	−0.673898	−	0.738824i	$-0.735381\pi$
$431$		−	636.866i		−	1.47765i	0.673898	−	0.738824i	$-0.264619\pi$
$432$		0			0
$433$		−	594.793i		−	1.37366i	−0.726820	−	0.686828i	$-0.759003\pi$
$433$		−	594.793i		−	1.37366i	0.726820	−	0.686828i	$-0.240997\pi$
$434$			366.466i			0.844392i
$435$		0			0
$436$	−168.683			−0.386887
$437$	473.943			1.08454
$438$		0			0
$439$	−507.720			−1.15654			−0.578269	−	0.815846i	$-0.696272\pi$
$439$	−507.720			−1.15654			−0.578269	+	0.815846i	$0.696272\pi$
$440$	−0.159269	+	53.8779i	−0.000361976	+	0.122450i
$441$		0			0
$442$		−	37.8539i		−	0.0856423i
$443$	−681.009			−1.53727			−0.768633	−	0.639689i	$-0.779063\pi$
$443$	−681.009			−1.53727			−0.768633	+	0.639689i	$0.779063\pi$
$444$		0			0
$445$	−1.96086	+	663.323i	−0.00440643	+	1.49061i
$446$		−	92.8563i		−	0.208198i
$447$		0			0
$448$			47.3561i			0.105706i
$449$			273.889i			0.609998i	0.952353	+	0.304999i	$0.0986561\pi$
$449$			273.889i			0.609998i	−0.952353	+	0.304999i	$0.901344\pi$
$450$		0			0
$451$	10.3666			0.0229859
$452$	−160.291			−0.354626
$453$		0			0
$454$	520.012			1.14540
$455$	−657.937	−	1.94494i	−1.44602	−	0.00427459i
$456$		0			0
$457$			203.470i			0.445229i	0.974907	+	0.222615i	$0.0714591\pi$
$457$			203.470i			0.445229i	−0.974907	+	0.222615i	$0.928541\pi$
$458$	−423.757			−0.925233
$459$		0			0
$460$	−161.421	−	0.477178i	−0.350915	−	0.00103734i
$461$			846.093i			1.83534i	0.397341	+	0.917671i	$0.369933\pi$
$461$			846.093i			1.83534i	−0.397341	+	0.917671i	$0.630067\pi$
$462$		0			0
$463$			439.677i			0.949626i	0.880087	+	0.474813i	$0.157484\pi$
$463$			439.677i			0.949626i	−0.880087	+	0.474813i	$0.842516\pi$
$464$			181.148i			0.390404i
$465$		0			0
$466$	−321.349			−0.689591
$467$	−14.0853			−0.0301612			−0.0150806	−	0.999886i	$-0.504800\pi$
$467$	−14.0853			−0.0301612			−0.0150806	+	0.999886i	$0.504800\pi$
$468$		0			0
$469$	492.083			1.04922
$470$	−171.816	−	0.507907i	−0.365565	−	0.00108065i
$471$		0			0
$472$		−	54.8403i		−	0.116187i
$473$	76.1403			0.160973
$474$		0			0
$475$	734.002	+	4.33963i	1.54527	+	0.00913606i
$476$			14.2555i			0.0299485i
$477$		0			0
$478$		−	268.443i		−	0.561597i
$479$			391.596i			0.817529i	0.912640	+	0.408765i	$0.134040\pi$
$479$			391.596i			0.817529i	−0.912640	+	0.408765i	$0.865960\pi$
$480$		0			0
$481$	1076.33			2.23769
$482$	128.631			0.266869
$483$		0			0
$484$	212.971			0.440024
$485$	1.75901	−	595.041i	0.00362682	−	1.22689i
$486$		0			0
$487$			881.169i			1.80938i	0.426069	+	0.904691i	$0.359898\pi$
$487$			881.169i			1.80938i	−0.426069	+	0.904691i	$0.640102\pi$
$488$	52.0405			0.106640
$489$		0			0
$490$	−98.7071	−	0.291790i	−0.201443	−	0.000595489i
$491$		−	351.635i		−	0.716161i	−0.933691	−	0.358081i	$-0.883431\pi$
$491$		−	351.635i		−	0.716161i	0.933691	−	0.358081i	$-0.116569\pi$
$492$		0			0
$493$			54.5304i			0.110609i
$494$		−	923.017i		−	1.86846i
$495$		0			0
$496$	175.103			0.353029
$497$	720.903			1.45051
$498$		0			0
$499$	−481.852			−0.965635			−0.482817	−	0.875721i	$-0.660387\pi$
$499$	−481.852			−0.965635			−0.482817	+	0.875721i	$0.660387\pi$
$500$	−249.990	−	2.21705i	−0.499980	−	0.00443410i
$501$		0			0
$502$			545.944i			1.08754i
$503$	−670.477			−1.33296			−0.666478	−	0.745525i	$-0.732199\pi$
$503$	−670.477			−1.33296			−0.666478	+	0.745525i	$0.732199\pi$
$504$		0			0
$505$	0.351783	−	119.002i	0.000696600	−	0.235647i
$506$		−	86.9708i		−	0.171879i
$507$		0			0
$508$			182.657i			0.359561i
$509$		−	11.0518i		−	0.0217128i	−0.999941	−	0.0108564i	$-0.996544\pi$
$509$		−	11.0518i		−	0.0217128i	0.999941	−	0.0108564i	$-0.00345577\pi$
$510$		0			0
$511$	622.235			1.21768
$512$	22.6274			0.0441942
$513$		0			0
$514$	489.765			0.952849
$515$	−0.0610236	+	20.6432i	−0.000118492	+	0.0400838i
$516$		0			0
$517$		−	92.5714i		−	0.179055i
$518$	−405.338			−0.782505
$519$		0			0
$520$	−0.929319	+	314.372i	−0.00178715	+	0.604561i
$521$		−	534.980i		−	1.02683i	−0.858140	−	0.513416i	$-0.828380\pi$
$521$		−	534.980i		−	1.02683i	0.858140	−	0.513416i	$-0.171620\pi$
$522$		0			0
$523$		−	615.393i		−	1.17666i	−0.808621	−	0.588330i	$-0.799786\pi$
$523$		−	615.393i		−	1.17666i	0.808621	−	0.588330i	$-0.200214\pi$
$524$			455.898i			0.870034i
$525$		0			0
$526$	−613.021			−1.16544
$527$	52.7106			0.100020
$528$		0			0
$529$	−268.431			−0.507431
$530$	−76.6679	−	0.226639i	−0.144656	−	0.000427621i
$531$		0			0
$532$			347.601i			0.653385i
$533$	60.4882			0.113486
$534$		0			0
$535$	585.036	+	1.72943i	1.09352	+	0.00323259i
$536$		−	235.124i		−	0.438664i
$537$		0			0
$538$			645.984i			1.20071i
$539$		−	53.1818i		−	0.0986675i
$540$		0			0
$541$	−479.872			−0.887010			−0.443505	−	0.896272i	$-0.646265\pi$
$541$	−479.872			−0.887010			−0.443505	+	0.896272i	$0.646265\pi$
$542$	−454.730			−0.838986
$543$		0			0
$544$	6.81147			0.0125211
$545$	421.705	+	1.24661i	0.773770	+	0.00228735i
$546$		0			0
$547$		−	355.636i		−	0.650158i	−0.945687	−	0.325079i	$-0.894609\pi$
$547$		−	355.636i		−	0.650158i	0.945687	−	0.325079i	$-0.105391\pi$
$548$	−245.438			−0.447879
$549$		0			0
$550$	0.796343	−	134.693i	0.00144790	−	0.244896i
$551$			1329.65i			2.41316i
$552$		0			0
$553$			557.680i			1.00846i
$554$			468.736i			0.846093i
$555$		0			0
$556$	−76.9606			−0.138418
$557$	−267.691			−0.480595			−0.240297	−	0.970699i	$-0.577245\pi$
$557$	−267.691			−0.480595			−0.240297	+	0.970699i	$0.577245\pi$
$558$		0			0
$559$	444.270			0.794759
$560$	0.349974	−	118.390i	0.000624953	−	0.211410i
$561$		0			0
$562$		−	669.203i		−	1.19075i
$563$	−241.022			−0.428104			−0.214052	−	0.976822i	$-0.568666\pi$
$563$	−241.022			−0.428104			−0.214052	+	0.976822i	$0.568666\pi$
$564$		0			0
$565$	400.725	+	1.18459i	0.709248	+	0.00209662i
$566$		−	42.9823i		−	0.0759404i
$567$		0			0
$568$		−	344.458i		−	0.606440i
$569$			56.2891i			0.0989263i	0.998776	+	0.0494632i	$0.0157510\pi$
$569$			56.2891i			0.0989263i	−0.998776	+	0.0494632i	$0.984249\pi$
$570$		0			0
$571$	−382.848			−0.670486			−0.335243	−	0.942132i	$-0.608818\pi$
$571$	−382.848			−0.670486			−0.335243	+	0.942132i	$0.608818\pi$
$572$	−169.378			−0.296116
$573$		0			0
$574$	−22.7794			−0.0396853
$575$	403.547	+	2.38588i	0.701820	+	0.00414936i
$576$		0			0
$577$		−	114.953i		−	0.199225i	−0.995026	−	0.0996126i	$-0.968240\pi$
$577$		−	114.953i		−	0.199225i	0.995026	−	0.0996126i	$-0.0317603\pi$
$578$	−406.657			−0.703559
$579$		0			0
$580$	1.33873	−	452.867i	0.00230815	−	0.780805i
$581$		−	560.238i		−	0.964266i
$582$		0			0
$583$		−	41.3074i		−	0.0708532i
$584$		−	297.313i		−	0.509097i
$585$		0			0
$586$	−35.3783			−0.0603725
$587$	−487.696			−0.830828			−0.415414	−	0.909632i	$-0.636363\pi$
$587$	−487.696			−0.830828			−0.415414	+	0.909632i	$0.636363\pi$
$588$		0			0
$589$	1285.28			2.18214
$590$	−0.405284	+	137.100i	−0.000686921	+	0.232373i
$591$		0			0
$592$			193.676i			0.327155i
$593$	631.323			1.06463			0.532313	−	0.846548i	$-0.321323\pi$
$593$	631.323			1.06463			0.532313	+	0.846548i	$0.321323\pi$
$594$		0			0
$595$	0.105352	−	35.6385i	0.000177062	−	0.0598967i
$596$		−	14.9894i		−	0.0251499i
$597$		0			0
$598$		−	507.465i		−	0.848604i
$599$			701.491i			1.17110i	0.810635	+	0.585552i	$0.199122\pi$
$599$			701.491i			1.17110i	−0.810635	+	0.585552i	$0.800878\pi$
$600$		0			0
$601$	400.330			0.666106			0.333053	−	0.942908i	$-0.391921\pi$
$601$	400.330			0.666106			0.333053	+	0.942908i	$0.391921\pi$
$602$	−167.309			−0.277921
$603$		0			0
$604$	434.466			0.719315
$605$	−532.426	−	1.57391i	−0.880044	−	0.00260151i
$606$		0			0
$607$		−	290.432i		−	0.478472i	−0.970962	−	0.239236i	$-0.923103\pi$
$607$		−	290.432i		−	0.478472i	0.970962	−	0.239236i	$-0.0768969\pi$
$608$	166.089			0.273172
$609$		0			0
$610$	−130.101	−	0.384593i	−0.213280	−	0.000630480i
$611$		−	540.144i		−	0.884033i
$612$		0			0
$613$		−	177.921i		−	0.290247i	−0.989414	−	0.145123i	$-0.953642\pi$
$613$		−	177.921i		−	0.290247i	0.989414	−	0.145123i	$-0.0463579\pi$
$614$			843.298i			1.37345i
$615$		0			0
$616$	63.7865			0.103549
$617$	465.432			0.754347			0.377173	−	0.926143i	$-0.376896\pi$
$617$	465.432			0.754347			0.377173	+	0.926143i	$0.376896\pi$
$618$		0			0
$619$	564.501			0.911957			0.455978	−	0.889991i	$-0.349289\pi$
$619$	564.501			0.911957			0.455978	+	0.889991i	$0.349289\pi$
$620$	−437.755	−	1.29405i	−0.706056	−	0.00208718i
$621$		0			0
$622$			76.7988i			0.123471i
$623$	785.313			1.26053
$624$		0			0
$625$	624.956	+	7.39010i	0.999930	+	0.0118242i
$626$			228.295i			0.364689i
$627$		0			0
$628$		−	354.674i		−	0.564767i
$629$			58.3017i			0.0926896i
$630$		0			0
$631$	696.074			1.10313			0.551564	−	0.834133i	$-0.314031\pi$
$631$	696.074			1.10313			0.551564	+	0.834133i	$0.314031\pi$
$632$	266.467			0.421626
$633$		0			0
$634$	385.491			0.608030
$635$	1.34988	−	456.641i	0.00212580	−	0.719119i
$636$		0			0
$637$		−	310.310i		−	0.487142i
$638$	243.997			0.382441
$639$		0			0
$640$	−56.5683	−	0.167222i	−0.0883880	−	0.000261285i
$641$			325.853i			0.508352i	0.967158	+	0.254176i	$0.0818042\pi$
$641$			325.853i			0.508352i	−0.967158	+	0.254176i	$0.918196\pi$
$642$		0			0
$643$		−	108.531i		−	0.168789i	−0.996432	−	0.0843944i	$-0.973104\pi$
$643$		−	108.531i		−	0.168789i	0.996432	−	0.0843944i	$-0.0268956\pi$
$644$			191.107i			0.296750i
$645$		0			0
$646$	49.9972			0.0773950
$647$	895.382			1.38390			0.691949	−	0.721946i	$-0.256752\pi$
$647$	895.382			1.38390			0.691949	+	0.721946i	$0.256752\pi$
$648$		0			0
$649$	−73.8673			−0.113817
$650$	4.64657	−	785.919i	0.00714857	−	1.20911i
$651$		0			0
$652$		−	85.3302i		−	0.130875i
$653$	−93.3534			−0.142961			−0.0714804	−	0.997442i	$-0.522772\pi$
$653$	−93.3534			−0.142961			−0.0714804	+	0.997442i	$0.522772\pi$
$654$		0			0
$655$	3.36920	−	1139.74i	0.00514382	−	1.74006i
$656$			10.8843i			0.0165919i
$657$		0			0
$658$			203.414i			0.309140i
$659$		−	1031.59i		−	1.56539i	−0.622407	−	0.782694i	$-0.713845\pi$
$659$		−	1031.59i		−	1.56539i	0.622407	−	0.782694i	$-0.286155\pi$
$660$		0			0
$661$	−865.519			−1.30941			−0.654704	−	0.755885i	$-0.727207\pi$
$661$	−865.519			−1.30941			−0.654704	+	0.755885i	$0.727207\pi$
$662$	−747.713			−1.12948
$663$		0			0
$664$	−267.690			−0.403147
$665$	2.56886	−	868.998i	0.00386295	−	1.30676i
$666$		0			0
$667$			731.028i			1.09599i
$668$	147.974			0.221519
$669$		0			0
$670$	−1.73763	+	587.808i	−0.00259347	+	0.877325i
$671$		−	70.0961i		−	0.104465i
$672$		0			0
$673$			686.828i			1.02055i	0.860012	+	0.510273i	$0.170456\pi$
$673$			686.828i			1.02055i	−0.860012	+	0.510273i	$0.829544\pi$
$674$		−	551.342i		−	0.818014i
$675$		0			0
$676$	−650.303			−0.961987
$677$	780.080			1.15226			0.576130	−	0.817358i	$-0.304562\pi$
$677$	780.080			1.15226			0.576130	+	0.817358i	$0.304562\pi$
$678$		0			0
$679$	−704.474			−1.03752
$680$	−17.0286	−	0.0503385i	−0.0250421	−	7.40272e-5i
$681$		0			0
$682$		−	235.855i		−	0.345828i
$683$	285.666			0.418252			0.209126	−	0.977889i	$-0.432938\pi$
$683$	285.666			0.418252			0.209126	+	0.977889i	$0.432938\pi$
$684$		0			0
$685$	613.591	+	1.81385i	0.895754	+	0.00264795i
$686$			527.062i			0.768311i
$687$		0			0
$688$			79.9424i			0.116195i
$689$		−	241.024i		−	0.349817i
$690$		0			0
$691$	65.7949			0.0952170			0.0476085	−	0.998866i	$-0.484840\pi$
$691$	65.7949			0.0952170			0.0476085	+	0.998866i	$0.484840\pi$
$692$	307.491			0.444351
$693$		0			0
$694$	−170.274			−0.245352
$695$	192.401	+	0.568758i	0.276835	+	0.000818357i
$696$		0			0
$697$			3.27647i			0.00470082i
$698$	775.377			1.11086
$699$		0			0
$700$	−1.74986	+	295.971i	−0.00249980	+	0.422815i
$701$			736.516i			1.05067i	0.850897	+	0.525333i	$0.176059\pi$
$701$			736.516i			1.05067i	−0.850897	+	0.525333i	$0.823941\pi$
$702$		0			0
$703$			1421.61i			2.02221i
$704$		−	30.4781i		−	0.0432927i
$705$		0			0
$706$	414.839			0.587590
$707$	−140.887			−0.199275
$708$		0			0
$709$	−582.252			−0.821231			−0.410615	−	0.911809i	$-0.634686\pi$
$709$	−582.252			−0.821231			−0.410615	+	0.911809i	$0.634686\pi$
$710$	−2.54563	+	861.141i	−0.00358540	+	1.21287i
$711$		0			0
$712$		−	375.234i		−	0.527014i
$713$	706.633			0.991070
$714$		0			0
$715$	423.444	+	1.25175i	0.592229	+	0.00175070i
$716$			584.937i			0.816951i
$717$		0			0
$718$		−	22.4461i		−	0.0312619i
$719$			256.052i			0.356123i	0.984019	+	0.178061i	$0.0569826\pi$
$719$			256.052i			0.356123i	−0.984019	+	0.178061i	$0.943017\pi$
$720$		0			0
$721$	24.4396			0.0338968
$722$	708.583			0.981417
$723$		0			0
$724$	90.0038			0.124315
$725$	−6.69361	+	1132.15i	−0.00923257	+	1.56159i
$726$		0			0
$727$		−	74.1018i		−	0.101928i	−0.998700	−	0.0509641i	$-0.983771\pi$
$727$		−	74.1018i		−	0.101928i	0.998700	−	0.0509641i	$-0.0162294\pi$
$728$	372.187			0.511246
$729$		0			0
$730$	−2.19722	+	743.278i	−0.00300989	+	1.01819i
$731$			24.0648i			0.0329204i
$732$		0			0
$733$		−	233.383i		−	0.318395i	−0.987247	−	0.159197i	$-0.949109\pi$
$733$		−	233.383i		−	0.318395i	0.987247	−	0.159197i	$-0.0508906\pi$
$734$		−	838.039i		−	1.14174i
$735$		0			0
$736$	91.3138			0.124068
$737$	−316.701			−0.429717
$738$		0			0
$739$	−541.648			−0.732948			−0.366474	−	0.930428i	$-0.619435\pi$
$739$	−541.648			−0.732948			−0.366474	+	0.930428i	$0.619435\pi$
$740$	1.43132	−	484.188i	0.00193421	−	0.654308i
$741$		0			0
$742$			90.7678i			0.122329i
$743$	843.929			1.13584			0.567920	−	0.823084i	$-0.307748\pi$
$743$	843.929			1.13584			0.567920	+	0.823084i	$0.307748\pi$
$744$		0			0
$745$	−0.110775	+	37.4732i	−0.000148692	+	0.0502996i
$746$			536.820i			0.719597i
$747$		0			0
$748$		−	9.17473i		−	0.0122657i
$749$		−	692.629i		−	0.924738i
$750$		0			0
$751$	101.631			0.135327			0.0676635	−	0.997708i	$-0.478446\pi$
$751$	101.631			0.135327			0.0676635	+	0.997708i	$0.478446\pi$
$752$	97.1940			0.129247
$753$		0			0
$754$	1423.70			1.88819
$755$	−1086.16	−	3.21082i	−1.43862	−	0.00425274i
$756$		0			0
$757$		−	456.777i		−	0.603404i	−0.953402	−	0.301702i	$-0.902445\pi$
$757$		−	456.777i		−	0.603404i	0.953402	−	0.301702i	$-0.0975547\pi$
$758$	−697.818			−0.920605
$759$		0			0
$760$	−415.220	−	1.22744i	−0.546342	−	0.00161505i
$761$		−	44.5068i		−	0.0584846i	−0.999572	−	0.0292423i	$-0.990691\pi$
$761$		−	44.5068i		−	0.0584846i	0.999572	−	0.0292423i	$-0.00930945\pi$
$762$		0			0
$763$		−	499.260i		−	0.654338i
$764$		−	377.431i		−	0.494020i
$765$		0			0
$766$	430.349			0.561813
$767$	−431.007			−0.561939
$768$		0			0
$769$	−250.150			−0.325293			−0.162647	−	0.986684i	$-0.552003\pi$
$769$	−250.150			−0.325293			−0.162647	+	0.986684i	$0.552003\pi$
$770$	−159.465	−	0.471398i	−0.207098	−	0.000612206i
$771$		0			0
$772$			181.762i			0.235443i
$773$	1059.49			1.37063			0.685313	−	0.728249i	$-0.259666\pi$
$773$	1059.49			1.37063			0.685313	+	0.728249i	$0.259666\pi$
$774$		0			0
$775$	1094.37	+	6.47024i	1.41209	+	0.00834869i
$776$			336.607i			0.433772i
$777$		0			0
$778$		−	639.198i		−	0.821591i
$779$			79.8924i			0.102558i
$780$		0			0
$781$	−463.969			−0.594070
$782$	27.4879			0.0351508
$783$		0			0
$784$	55.8374			0.0712212
$785$	−2.62113	+	886.681i	−0.00333902	+	1.12953i
$786$		0			0
$787$			817.246i			1.03843i	0.854643	+	0.519216i	$0.173776\pi$
$787$			817.246i			1.03843i	−0.854643	+	0.519216i	$0.826224\pi$
$788$	642.251			0.815040
$789$		0			0
$790$	−666.166	−	1.96926i	−0.843248	−	0.00249274i
$791$		−	474.422i		−	0.599775i
$792$		0			0
$793$		−	409.003i		−	0.515767i
$794$		−	447.118i		−	0.563121i
$795$		0			0
$796$	−45.4845			−0.0571414
$797$	1064.96			1.33621			0.668107	−	0.744065i	$-0.267105\pi$
$797$	1064.96			1.33621			0.668107	+	0.744065i	$0.267105\pi$
$798$		0			0
$799$	29.2580			0.0366183
$800$	141.419	+	0.836109i	0.176774	+	0.00104514i
$801$		0			0
$802$			108.024i			0.134693i
$803$	−400.466			−0.498712
$804$		0			0
$805$	1.41233	−	477.766i	0.00175445	−	0.593498i
$806$		−	1376.19i		−	1.70743i
$807$		0			0
$808$			67.3178i			0.0833142i
$809$			417.926i			0.516595i	0.966065	+	0.258298i	$0.0831615\pi$
$809$			417.926i			0.516595i	−0.966065	+	0.258298i	$0.916838\pi$
$810$		0			0
$811$	−993.633			−1.22519			−0.612597	−	0.790395i	$-0.709875\pi$
$811$	−993.633			−1.22519			−0.612597	+	0.790395i	$0.709875\pi$
$812$	−536.153			−0.660287
$813$		0			0
$814$	260.872			0.320482
$815$	−0.630612	+	213.325i	−0.000773758	+	0.261748i
$816$		0			0
$817$			586.789i			0.718224i
$818$	−613.125			−0.749541
$819$		0			0
$820$	0.0804378	−	27.2106i	9.80949e−5	−	0.0331837i
$821$			671.048i			0.817354i	0.912679	+	0.408677i	$0.134010\pi$
$821$			671.048i			0.817354i	−0.912679	+	0.408677i	$0.865990\pi$
$822$		0			0
$823$		−	688.146i		−	0.836144i	−0.908414	−	0.418072i	$-0.862706\pi$
$823$		−	688.146i		−	0.836144i	0.908414	−	0.418072i	$-0.137294\pi$
$824$		−	11.6776i		−	0.0141718i
$825$		0			0
$826$	162.314			0.196506
$827$	−904.043			−1.09316			−0.546580	−	0.837407i	$-0.684070\pi$
$827$	−904.043			−1.09316			−0.546580	+	0.837407i	$0.684070\pi$
$828$		0			0
$829$	−1539.16			−1.85664			−0.928321	−	0.371779i	$-0.878748\pi$
$829$	−1539.16			−1.85664			−0.928321	+	0.371779i	$0.878748\pi$
$830$	669.221	+	1.97830i	0.806291	+	0.00238349i
$831$		0			0
$832$		−	177.836i		−	0.213745i
$833$	16.8086			0.0201784
$834$		0			0
$835$	−369.934	−	1.09357i	−0.443035	−	0.00130966i
$836$		−	223.714i		−	0.267600i
$837$		0			0
$838$		−	224.805i		−	0.268264i
$839$		−	886.324i		−	1.05641i	−0.849118	−	0.528203i	$-0.822866\pi$
$839$		−	886.324i		−	1.05641i	0.849118	−	0.528203i	$-0.177134\pi$
$840$		0			0
$841$	−1209.90			−1.43865
$842$	−45.3485			−0.0538581
$843$		0			0
$844$	−159.843			−0.189388
$845$	1625.75	+	4.80591i	1.92397	+	0.00568747i
$846$		0			0
$847$			630.344i			0.744208i
$848$	43.3701			0.0511440
$849$		0			0
$850$	42.5709	+	0.251691i	0.0500834	+	0.000296108i
$851$			781.586i			0.918433i
$852$		0			0
$853$			1031.36i			1.20909i	0.796570	+	0.604547i	$0.206646\pi$
$853$			1031.36i			1.20909i	−0.796570	+	0.604547i	$0.793354\pi$
$854$			154.027i			0.180360i
$855$		0			0
$856$	−330.948			−0.386621
$857$	−543.529			−0.634222			−0.317111	−	0.948388i	$-0.602713\pi$
$857$	−543.529			−0.634222			−0.317111	+	0.948388i	$0.602713\pi$
$858$		0			0
$859$	363.363			0.423007			0.211504	−	0.977377i	$-0.432164\pi$
$859$	363.363			0.423007			0.211504	+	0.977377i	$0.432164\pi$
$860$	0.590795	−	199.855i	0.000686971	−	0.232390i
$861$		0			0
$862$		−	900.665i		−	1.04485i
$863$	−693.976			−0.804144			−0.402072	−	0.915608i	$-0.631710\pi$
$863$	−693.976			−0.804144			−0.402072	+	0.915608i	$0.631710\pi$
$864$		0			0
$865$	−768.723	−	2.27244i	−0.888697	−	0.00262709i
$866$		−	841.164i		−	0.971321i
$867$		0			0
$868$			518.261i			0.597075i
$869$		−	358.919i		−	0.413025i
$870$		0			0
$871$	−1847.92			−2.12160
$872$	−238.553			−0.273570
$873$		0			0
$874$	670.256			0.766884
$875$	6.56193	−	739.910i	0.00749935	−	0.845612i
$876$		0			0
$877$		−	442.700i		−	0.504790i	−0.967624	−	0.252395i	$-0.918782\pi$
$877$		−	442.700i		−	0.504790i	0.967624	−	0.252395i	$-0.0812182\pi$
$878$	−718.025			−0.817796
$879$		0			0
$880$	−0.225241	+	76.1948i	−0.000255955	+	0.0865850i
$881$			1448.18i			1.64379i	0.569642	+	0.821893i	$0.307082\pi$
$881$			1448.18i			1.64379i	−0.569642	+	0.821893i	$0.692918\pi$
$882$		0			0
$883$		−	672.798i		−	0.761946i	−0.924586	−	0.380973i	$-0.875589\pi$
$883$		−	672.798i		−	0.761946i	0.924586	−	0.380973i	$-0.124411\pi$
$884$		−	53.5335i		−	0.0605583i
$885$		0			0
$886$	−963.092			−1.08701
$887$	−889.935			−1.00331			−0.501655	−	0.865068i	$-0.667275\pi$
$887$	−889.935			−1.00331			−0.501655	+	0.865068i	$0.667275\pi$
$888$		0			0
$889$	−540.620			−0.608122
$890$	−2.77307	+	938.080i	−0.00311581	+	1.05402i
$891$		0			0
$892$		−	131.319i		−	0.147218i
$893$	713.418			0.798901
$894$		0			0
$895$	4.32284	−	1462.34i	0.00482999	−	1.63390i
$896$			66.9717i			0.0747452i
$897$		0			0
$898$			387.337i			0.431333i
$899$			1982.46i			2.20519i
$900$		0			0
$901$	13.0556			0.0144901
$902$	14.6606			0.0162535
$903$		0			0
$904$	−226.685			−0.250758
$905$	−225.008	−	0.665151i	−0.248628	−	0.000734974i
$906$		0			0
$907$			301.835i			0.332783i	0.986060	+	0.166392i	$0.0532116\pi$
$907$			301.835i			0.332783i	−0.986060	+	0.166392i	$0.946788\pi$
$908$	735.409			0.809921
$909$		0			0
$910$	−930.463	−	2.75056i	−1.02249	−	0.00302259i
$911$		−	1370.11i		−	1.50396i	−0.659187	−	0.751979i	$-0.729099\pi$
$911$		−	1370.11i		−	1.50396i	0.659187	−	0.751979i	$-0.270901\pi$
$912$		0			0
$913$			360.566i			0.394924i
$914$			287.750i			0.314824i
$915$		0			0
$916$	−599.282			−0.654238
$917$	−1349.35			−1.47148
$918$		0			0
$919$	−228.522			−0.248664			−0.124332	−	0.992241i	$-0.539679\pi$
$919$	−228.522			−0.248664			−0.124332	+	0.992241i	$0.539679\pi$
$920$	−228.283	−	0.674832i	−0.248134	−	0.000733513i
$921$		0			0
$922$			1196.56i			1.29778i
$923$	−2707.21			−2.93305
$924$		0			0
$925$	−7.15655	+	1210.45i	−0.00773681	+	1.30860i
$926$			621.797i			0.671487i
$927$		0			0
$928$			256.181i			0.276058i
$929$		−	316.260i		−	0.340430i	−0.985407	−	0.170215i	$-0.945554\pi$
$929$		−	316.260i		−	0.340430i	0.985407	−	0.170215i	$-0.0544462\pi$
$930$		0			0
$931$	409.855			0.440231
$932$	−454.457			−0.487614
$933$		0			0
$934$	−19.9196			−0.0213272
$935$	−0.0678036	+	22.9367i	−7.25172e−5	+	0.0245313i
$936$		0			0
$937$		−	1277.28i		−	1.36315i	−0.731746	−	0.681577i	$-0.761294\pi$
$937$		−	1277.28i		−	1.36315i	0.731746	−	0.681577i	$-0.238706\pi$
$938$	695.910			0.741908
$939$		0			0
$940$	−242.984	−	0.718289i	−0.258494	−	0.000764137i
$941$		−	1608.79i		−	1.70966i	−0.518905	−	0.854832i	$-0.673660\pi$
$941$		−	1608.79i		−	1.70966i	0.518905	−	0.854832i	$-0.326340\pi$
$942$		0			0
$943$			43.9240i			0.0465790i
$944$		−	77.5558i		−	0.0821566i
$945$		0			0
$946$	107.679			0.113825
$947$	−1586.42			−1.67521			−0.837605	−	0.546276i	$-0.816045\pi$
$947$	−1586.42			−1.67521			−0.837605	+	0.546276i	$0.816045\pi$
$948$		0			0
$949$	−2336.68			−2.46225
$950$	1038.04	+	6.13716i	1.09267	+	0.00646017i
$951$		0			0
$952$			20.1603i			0.0211768i
$953$	−985.215			−1.03380			−0.516902	−	0.856045i	$-0.672915\pi$
$953$	−985.215			−1.03380			−0.516902	+	0.856045i	$0.672915\pi$
$954$		0			0
$955$	−2.78931	+	943.574i	−0.00292075	+	0.988035i
$956$		−	379.636i		−	0.397109i
$957$		0			0
$958$			553.801i			0.578080i
$959$		−	726.436i		−	0.757493i
$960$		0			0
$961$	955.307			0.994076
$962$	1522.16			1.58229
$963$		0			0
$964$	181.911			0.188705
$965$	1.34327	−	454.403i	0.00139199	−	0.470884i
$966$		0			0
$967$			417.957i			0.432220i	0.976369	+	0.216110i	$0.0693370\pi$
$967$			417.957i			0.432220i	−0.976369	+	0.216110i	$0.930663\pi$
$968$	301.187			0.311144
$969$		0			0
$970$	2.48762	−	841.515i	0.00256455	−	0.867541i
$971$		−	685.151i		−	0.705613i	−0.935696	−	0.352807i	$-0.885227\pi$
$971$		−	685.151i		−	0.705613i	0.935696	−	0.352807i	$-0.114773\pi$
$972$		0			0
$973$		−	227.785i		−	0.234105i
$974$			1246.16i			1.27943i
$975$		0			0
$976$	73.5964			0.0754061
$977$	−1461.86			−1.49627			−0.748137	−	0.663544i	$-0.769051\pi$
$977$	−1461.86			−1.49627			−0.748137	+	0.663544i	$0.769051\pi$
$978$		0			0
$979$	−505.422			−0.516264
$980$	−139.593	−	0.412653i	−0.142442	−	0.000421074i
$981$		0			0
$982$		−	497.287i		−	0.506402i
$983$	−814.417			−0.828501			−0.414251	−	0.910163i	$-0.635956\pi$
$983$	−814.417			−0.828501			−0.414251	+	0.910163i	$0.635956\pi$
$984$		0			0
$985$	−1605.62	−	4.74640i	−1.63007	−	0.00481868i
$986$			77.1176i			0.0782126i
$987$		0			0
$988$		−	1305.34i		−	1.32120i
$989$			322.610i			0.326199i
$990$		0			0
$991$	−594.842			−0.600244			−0.300122	−	0.953901i	$-0.597027\pi$
$991$	−594.842			−0.600244			−0.300122	+	0.953901i	$0.597027\pi$
$992$	247.632			0.249629
$993$		0			0
$994$	1019.51			1.02567
$995$	113.711	+	0.336142i	0.114282	+	0.000337832i
$996$		0			0
$997$		−	343.098i		−	0.344130i	−0.985086	−	0.172065i	$-0.944956\pi$
$997$		−	343.098i		−	0.344130i	0.985086	−	0.172065i	$-0.0550439\pi$
$998$	−681.441			−0.682807
$999$		0			0

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	810.3.b.c.809.13	yes	24
3.2	odd	2	inner	810.3.b.c.809.12	yes	24
5.4	even	2	inner	810.3.b.c.809.11	✓	24
9.2	odd	6		810.3.j.g.539.8		24
9.4	even	3		810.3.j.h.269.2		24
9.5	odd	6		810.3.j.h.269.9		24
9.7	even	3		810.3.j.g.539.2		24
15.14	odd	2	inner	810.3.b.c.809.14	yes	24
45.4	even	6		810.3.j.g.269.9		24
45.14	odd	6		810.3.j.g.269.2		24
45.29	odd	6		810.3.j.h.539.2		24
45.34	even	6		810.3.j.h.539.8		24

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
810.3.b.c.809.11	✓	24	5.4	even	2	inner
810.3.b.c.809.12	yes	24	3.2	odd	2	inner
810.3.b.c.809.13	yes	24	1.1	even	1	trivial
810.3.b.c.809.14	yes	24	15.14	odd	2	inner
810.3.j.g.269.2		24	45.14	odd	6
810.3.j.g.269.9		24	45.4	even	6
810.3.j.g.539.2		24	9.7	even	3
810.3.j.g.539.8		24	9.2	odd	6
810.3.j.h.269.2		24	9.4	even	3
810.3.j.h.269.9		24	9.5	odd	6
810.3.j.h.539.2		24	45.29	odd	6
810.3.j.h.539.8		24	45.34	even	6

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:	\( N \)	\(=\)	\( 810 = 2 \cdot 3^{4} \cdot 5 \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	810.b (of order \(2\), degree \(1\), minimal)

\(f(q)\)	\(=\)	\(q+1.41421 q^{2} +2.00000 q^{4} +(-4.99998 - 0.0147805i) q^{5} +5.91951i q^{7} +2.82843 q^{8} +O(q^{10})\)	\(q+1.41421 q^{2} +2.00000 q^{4} +(-4.99998 - 0.0147805i) q^{5} +5.91951i q^{7} +2.82843 q^{8} +(-7.07104 - 0.0209028i) q^{10} -3.80976i q^{11} -22.2295i q^{13} +8.37146i q^{14} +4.00000 q^{16} +1.20411 q^{17} +29.3606 q^{19} +(-9.99996 - 0.0295610i) q^{20} -5.38781i q^{22} +16.1421 q^{23} +(24.9996 + 0.147805i) q^{25} -31.4373i q^{26} +11.8390i q^{28} +45.2869i q^{29} +43.7756 q^{31} +5.65685 q^{32} +1.70287 q^{34} +(0.0874935 - 29.5974i) q^{35} +48.4190i q^{37} +41.5221 q^{38} +(-14.1421 - 0.0418056i) q^{40} +2.72108i q^{41} +19.9856i q^{43} -7.61952i q^{44} +22.8284 q^{46} +24.2985 q^{47} +13.9594 q^{49} +(35.3547 + 0.209027i) q^{50} -44.4590i q^{52} +10.8425 q^{53} +(-0.0563102 + 19.0487i) q^{55} +16.7429i q^{56} +64.0454i q^{58} -19.3890i q^{59} +18.3991 q^{61} +61.9081 q^{62} +8.00000 q^{64} +(-0.328564 + 111.147i) q^{65} -83.1289i q^{67} +2.40822 q^{68} +(0.123734 - 41.8571i) q^{70} -121.784i q^{71} -105.116i q^{73} +68.4748i q^{74} +58.7212 q^{76} +22.5519 q^{77} +94.2105 q^{79} +(-19.9999 - 0.0591221i) q^{80} +3.84818i q^{82} -94.6426 q^{83} +(-6.02052 - 0.0177973i) q^{85} +28.2639i q^{86} -10.7756i q^{88} -132.665i q^{89} +131.588 q^{91} +32.2843 q^{92} +34.3633 q^{94} +(-146.802 - 0.433965i) q^{95} +119.009i q^{97} +19.7415 q^{98} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 24 q + 48 q^{4}+O(q^{10}) \) 24 * q + 48 * q^4	\( 24 q + 48 q^{4} - 12 q^{10} + 96 q^{16} - 48 q^{25} - 120 q^{34} - 24 q^{40} + 72 q^{49} + 216 q^{55} + 120 q^{61} + 192 q^{64} + 192 q^{70} + 480 q^{79} + 444 q^{85} + 48 q^{91} + 96 q^{94}+O(q^{100}) \) 24 * q + 48 * q^4 - 12 * q^10 + 96 * q^16 - 48 * q^25 - 120 * q^34 - 24 * q^40 + 72 * q^49 + 216 * q^55 + 120 * q^61 + 192 * q^64 + 192 * q^70 + 480 * q^79 + 444 * q^85 + 48 * q^91 + 96 * q^94

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more