Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [380,2,Mod(49,380)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(380, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("380.49");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 380 = 2^{2} \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 380.r (of order \(6\), degree \(2\), 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: | \(3.03431527681\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{20} - 20 x^{18} + 261 x^{16} - 1994 x^{14} + 11074 x^{12} - 39211 x^{10} + 99376 x^{8} - 134299 x^{6} + \cdots + 4096 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{4} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 49.4 | ||
Root | \(-1.08802 + 0.628167i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 380.49 |
Dual form | 380.2.r.a.349.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/380\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(77\) | \(191\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(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 | 0 | ||||||||
\(3\) | −1.08802 | − | 0.628167i | −0.628167 | − | 0.362673i | 0.151875 | − | 0.988400i | \(-0.451469\pi\) |
−0.780042 | + | 0.625727i | \(0.784802\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 1.87507 | + | 1.21824i | 0.838558 | + | 0.544812i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 4.97100i | 1.87886i | 0.342736 | + | 0.939432i | \(0.388646\pi\) | ||||
−0.342736 | + | 0.939432i | \(0.611354\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −0.710812 | − | 1.23116i | −0.236937 | − | 0.410387i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −3.85491 | −1.16230 | −0.581149 | − | 0.813797i | \(-0.697397\pi\) | ||||
−0.581149 | + | 0.813797i | \(0.697397\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.31178 | + | 1.33470i | −0.641171 | + | 0.370180i | −0.785066 | − | 0.619413i | \(-0.787371\pi\) |
0.143894 | + | 0.989593i | \(0.454037\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −1.27486 | − | 2.50332i | −0.329166 | − | 0.646355i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 2.24337 | + | 1.29521i | 0.544097 | + | 0.314135i | 0.746738 | − | 0.665118i | \(-0.231619\pi\) |
−0.202641 | + | 0.979253i | \(0.564952\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.24479 | + | 4.17738i | 0.285574 | + | 0.958357i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 3.12262 | − | 5.40854i | 0.681412 | − | 1.18024i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −1.88243 | + | 1.08682i | −0.392514 | + | 0.226618i | −0.683249 | − | 0.730186i | \(-0.739434\pi\) |
0.290735 | + | 0.956804i | \(0.406100\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.03180 | + | 4.56857i | 0.406359 | + | 0.913713i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 5.55504i | 1.06907i | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 1.29432 | + | 2.24183i | 0.240350 | + | 0.416298i | 0.960814 | − | 0.277194i | \(-0.0894045\pi\) |
−0.720464 | + | 0.693492i | \(0.756071\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 7.76610 | 1.39483 | 0.697417 | − | 0.716666i | \(-0.254333\pi\) | ||||
0.697417 | + | 0.716666i | \(0.254333\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 4.19421 | + | 2.42153i | 0.730117 | + | 0.421533i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −6.05586 | + | 9.32100i | −1.02363 | + | 1.57554i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | − | 2.75768i | − | 0.453359i | −0.973969 | − | 0.226680i | \(-0.927213\pi\) | ||
0.973969 | − | 0.226680i | \(-0.0727870\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 3.35367 | 0.537017 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 3.66243 | − | 6.34351i | 0.571975 | − | 0.990690i | −0.424388 | − | 0.905481i | \(-0.639511\pi\) |
0.996363 | − | 0.0852097i | \(-0.0271560\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.55033 | − | 0.895083i | −0.236423 | − | 0.136499i | 0.377109 | − | 0.926169i | \(-0.376918\pi\) |
−0.613532 | + | 0.789670i | \(0.710252\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0.167024 | − | 3.17445i | 0.0248984 | − | 0.473220i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −1.47942 | + | 0.854141i | −0.215795 | + | 0.124589i | −0.604002 | − | 0.796983i | \(-0.706428\pi\) |
0.388207 | + | 0.921572i | \(0.373095\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −17.7109 | −2.53013 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −1.62722 | − | 2.81842i | −0.227856 | − | 0.394658i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 6.89738 | − | 3.98220i | 0.947428 | − | 0.546998i | 0.0551469 | − | 0.998478i | \(-0.482437\pi\) |
0.892281 | + | 0.451480i | \(0.149104\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −7.22823 | − | 4.69619i | −0.974654 | − | 0.633234i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 1.26974 | − | 5.32700i | 0.168182 | − | 0.705578i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −0.127300 | + | 0.220490i | −0.0165730 | + | 0.0287053i | −0.874193 | − | 0.485579i | \(-0.838609\pi\) |
0.857620 | + | 0.514284i | \(0.171942\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.66702 | − | 2.88737i | −0.213441 | − | 0.369690i | 0.739349 | − | 0.673323i | \(-0.235134\pi\) |
−0.952789 | + | 0.303633i | \(0.901800\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 6.12011 | − | 3.53345i | 0.771062 | − | 0.445173i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −5.96073 | − | 0.313624i | −0.739338 | − | 0.0389002i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −11.4356 | + | 6.60237i | −1.39708 | + | 0.806607i | −0.994086 | − | 0.108593i | \(-0.965365\pi\) |
−0.402999 | + | 0.915201i | \(0.632032\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 2.73082 | 0.328752 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 3.85760 | − | 6.68156i | 0.457813 | − | 0.792955i | −0.541032 | − | 0.841002i | \(-0.681966\pi\) |
0.998845 | + | 0.0480468i | \(0.0152997\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 3.90558 | + | 2.25489i | 0.457114 | + | 0.263915i | 0.710830 | − | 0.703364i | \(-0.248320\pi\) |
−0.253716 | + | 0.967279i | \(0.581653\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0.659195 | − | 6.24699i | 0.0761173 | − | 0.721340i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | − | 19.1628i | − | 2.18380i | ||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 5.52715 | − | 9.57330i | 0.621852 | − | 1.07708i | −0.367288 | − | 0.930107i | \(-0.619714\pi\) |
0.989141 | − | 0.146973i | \(-0.0469530\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 1.35706 | − | 2.35050i | 0.150784 | − | 0.261166i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 3.04360i | 0.334079i | 0.985950 | + | 0.167040i | \(0.0534207\pi\) | ||||
−0.985950 | + | 0.167040i | \(0.946579\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 2.62861 | + | 5.16157i | 0.285113 | + | 0.559851i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | − | 3.25221i | − | 0.348673i | ||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 4.76212 | + | 8.24824i | 0.504784 | + | 0.874311i | 0.999985 | + | 0.00553277i | \(0.00176114\pi\) |
−0.495201 | + | 0.868779i | \(0.664906\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −6.63482 | − | 11.4918i | −0.695518 | − | 1.20467i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −8.44966 | − | 4.87841i | −0.876189 | − | 0.505868i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −2.75497 | + | 9.34934i | −0.282654 | + | 0.959222i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 9.72851 | + | 5.61676i | 0.987780 | + | 0.570295i | 0.904610 | − | 0.426240i | \(-0.140162\pi\) |
0.0831703 | + | 0.996535i | \(0.473495\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 2.74011 | + | 4.74601i | 0.275392 | + | 0.476992i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 5.45345 | + | 9.44564i | 0.542638 | + | 0.939877i | 0.998751 | + | 0.0499550i | \(0.0159078\pi\) |
−0.456113 | + | 0.889922i | \(0.650759\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | − | 11.4532i | − | 1.12852i | −0.825597 | − | 0.564260i | \(-0.809161\pi\) | ||
0.825597 | − | 0.564260i | \(-0.190839\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 12.4440 | − | 6.33731i | 1.21441 | − | 0.618458i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | − | 18.3401i | − | 1.77300i | −0.462725 | − | 0.886502i | \(-0.653128\pi\) | ||
0.462725 | − | 0.886502i | \(-0.346872\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −6.55467 | + | 11.3530i | −0.627824 | + | 1.08742i | 0.360164 | + | 0.932889i | \(0.382721\pi\) |
−0.987988 | + | 0.154533i | \(0.950613\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −1.73228 | + | 3.00040i | −0.164421 | + | 0.284785i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | − | 0.696954i | − | 0.0655640i | −0.999463 | − | 0.0327820i | \(-0.989563\pi\) | ||
0.999463 | − | 0.0327820i | \(-0.0104367\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −4.85370 | − | 0.255377i | −0.452610 | − | 0.0238140i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 3.28647 | + | 1.89745i | 0.303835 | + | 0.175419i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −6.43850 | + | 11.1518i | −0.590216 | + | 1.02228i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 3.86029 | 0.350936 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −7.96957 | + | 4.60124i | −0.718592 | + | 0.414879i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −1.75583 | + | 11.0416i | −0.157047 | + | 0.987591i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −11.9968 | + | 6.92636i | −1.06454 | + | 0.614615i | −0.926686 | − | 0.375837i | \(-0.877355\pi\) |
−0.137859 | + | 0.990452i | \(0.544022\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 1.12452 | + | 1.94773i | 0.0990088 | + | 0.171488i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 6.11533 | − | 10.5921i | 0.534299 | − | 0.925433i | −0.464898 | − | 0.885364i | \(-0.653909\pi\) |
0.999197 | − | 0.0400690i | \(-0.0127578\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −20.7658 | + | 6.18785i | −1.80062 | + | 0.536554i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −6.76736 | + | 10.4161i | −0.582441 | + | 0.896475i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 7.96493 | − | 4.59855i | 0.680490 | − | 0.392881i | −0.119550 | − | 0.992828i | \(-0.538145\pi\) |
0.800039 | + | 0.599947i | \(0.204812\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −3.22178 | − | 5.58028i | −0.273267 | − | 0.473313i | 0.696429 | − | 0.717626i | \(-0.254771\pi\) |
−0.969697 | + | 0.244312i | \(0.921438\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 2.14617 | 0.180741 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 8.91168 | − | 5.14516i | 0.745232 | − | 0.430260i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.304135 | + | 5.78039i | −0.0252570 | + | 0.480036i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 19.2698 | + | 11.1254i | 1.58934 | + | 0.917608i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 11.5381 | − | 19.9846i | 0.945239 | − | 1.63720i | 0.189966 | − | 0.981791i | \(-0.439162\pi\) |
0.755272 | − | 0.655411i | \(-0.227505\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 20.1613 | 1.64071 | 0.820353 | − | 0.571858i | \(-0.193777\pi\) | ||||
0.820353 | + | 0.571858i | \(0.193777\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | − | 3.68260i | − | 0.297721i | ||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 14.5620 | + | 9.46096i | 1.16965 | + | 0.759922i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −10.2803 | − | 5.93532i | −0.820456 | − | 0.473690i | 0.0301179 | − | 0.999546i | \(-0.490412\pi\) |
−0.850574 | + | 0.525856i | \(0.823745\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −10.0060 | −0.793524 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −5.40259 | − | 9.35757i | −0.425784 | − | 0.737480i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 13.1763i | 1.03205i | 0.856575 | + | 0.516023i | \(0.172588\pi\) | ||||
−0.856575 | + | 0.516023i | \(0.827412\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 4.91445 | + | 9.65007i | 0.382589 | + | 0.751257i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 3.17459 | − | 1.83285i | 0.245657 | − | 0.141830i | −0.372117 | − | 0.928186i | \(-0.621368\pi\) |
0.617774 | + | 0.786356i | \(0.288035\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −2.93713 | + | 5.08726i | −0.225933 | + | 0.391327i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 4.25822 | − | 4.50186i | 0.325634 | − | 0.344266i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 0.0739334 | + | 0.0426855i | 0.00562105 | + | 0.00324532i | 0.502808 | − | 0.864398i | \(-0.332300\pi\) |
−0.497187 | + | 0.867644i | \(0.665634\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −22.7104 | + | 10.1001i | −1.71674 | + | 0.763493i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0.277009 | − | 0.159931i | 0.0208212 | − | 0.0120212i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 16.2256 | 1.21276 | 0.606380 | − | 0.795175i | \(-0.292621\pi\) | ||||
0.606380 | + | 0.795175i | \(0.292621\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −10.1549 | − | 17.5888i | −0.754808 | − | 1.30737i | −0.945470 | − | 0.325710i | \(-0.894397\pi\) |
0.190662 | − | 0.981656i | \(-0.438937\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 4.18868i | 0.309636i | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 3.35950 | − | 5.17084i | 0.246996 | − | 0.380168i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −8.64798 | − | 4.99291i | −0.632403 | − | 0.365118i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −27.6141 | −2.00863 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −21.9157 | −1.58576 | −0.792881 | − | 0.609377i | \(-0.791420\pi\) | ||||
−0.792881 | + | 0.609377i | \(0.791420\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 4.35575 | + | 2.51480i | 0.313534 | + | 0.181019i | 0.648507 | − | 0.761209i | \(-0.275394\pi\) |
−0.334973 | + | 0.942228i | \(0.608727\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 6.28838 | + | 4.08557i | 0.450320 | + | 0.292574i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 19.1189i | 1.36217i | 0.732205 | + | 0.681084i | \(0.238491\pi\) | ||||
−0.732205 | + | 0.681084i | \(0.761509\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 9.04425 | + | 15.6651i | 0.641130 | + | 1.11047i | 0.985181 | + | 0.171518i | \(0.0548672\pi\) |
−0.344051 | + | 0.938951i | \(0.611799\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 16.5896 | 1.17014 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −11.1442 | + | 6.43409i | −0.782167 | + | 0.451584i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 14.5952 | − | 7.43284i | 1.01937 | − | 0.519132i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 2.67611 | + | 1.54505i | 0.186002 | + | 0.107388i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −4.79854 | − | 16.1034i | −0.331922 | − | 1.11390i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −8.03757 | + | 13.9215i | −0.553329 | + | 0.958394i | 0.444702 | + | 0.895678i | \(0.353309\pi\) |
−0.998031 | + | 0.0627157i | \(0.980024\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −8.39427 | + | 4.84644i | −0.575166 | + | 0.332072i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −1.81656 | − | 3.56702i | −0.123888 | − | 0.243268i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 38.6053i | 2.62070i | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −2.83289 | − | 4.90672i | −0.191429 | − | 0.331565i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −6.91489 | −0.465146 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 15.0002 | + | 8.66036i | 1.00449 | + | 0.579941i | 0.909573 | − | 0.415545i | \(-0.136409\pi\) |
0.0949140 | + | 0.995485i | \(0.469742\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 4.18042 | − | 5.74886i | 0.278695 | − | 0.383257i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | − | 23.7579i | − | 1.57687i | −0.615120 | − | 0.788434i | \(-0.710892\pi\) | ||
0.615120 | − | 0.788434i | \(-0.289108\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −0.732245 | −0.0483881 | −0.0241941 | − | 0.999707i | \(-0.507702\pi\) | ||||
−0.0241941 | + | 0.999707i | \(0.507702\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −12.0374 | + | 20.8494i | −0.792004 | + | 1.37179i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 17.2328 | + | 9.94933i | 1.12896 | + | 0.651803i | 0.943672 | − | 0.330883i | \(-0.107346\pi\) |
0.185283 | + | 0.982685i | \(0.440680\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −3.81456 | − | 0.200703i | −0.248834 | − | 0.0130924i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −12.0273 | + | 6.94394i | −0.781255 | + | 0.451058i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 28.9063 | 1.86979 | 0.934897 | − | 0.354919i | \(-0.115492\pi\) | ||||
0.934897 | + | 0.354919i | \(0.115492\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 11.8979 | + | 20.6077i | 0.766409 | + | 1.32746i | 0.939499 | + | 0.342553i | \(0.111292\pi\) |
−0.173090 | + | 0.984906i | \(0.555375\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 11.4794 | − | 6.62764i | 0.736404 | − | 0.425163i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −33.2092 | − | 21.5761i | −2.12166 | − | 1.37844i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −8.45324 | − | 7.99574i | −0.537867 | − | 0.508757i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 1.91189 | − | 3.31150i | 0.121161 | − | 0.209858i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 3.44694 | + | 5.97028i | 0.217569 | + | 0.376840i | 0.954064 | − | 0.299602i | \(-0.0968540\pi\) |
−0.736495 | + | 0.676443i | \(0.763521\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 7.25659 | − | 4.18959i | 0.456218 | − | 0.263397i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0.382357 | − | 7.26709i | 0.0239441 | − | 0.455083i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −10.9617 | + | 6.32874i | −0.683772 | + | 0.394776i | −0.801275 | − | 0.598296i | \(-0.795845\pi\) |
0.117502 | + | 0.993073i | \(0.462511\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 13.7084 | 0.851800 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 1.84004 | − | 3.18704i | 0.113896 | − | 0.197273i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 21.6062 | + | 12.4743i | 1.33229 | + | 0.769200i | 0.985651 | − | 0.168797i | \(-0.0539883\pi\) |
0.346643 | + | 0.937997i | \(0.387322\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 17.7844 | + | 0.935723i | 1.09248 | + | 0.0574810i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | − | 11.9656i | − | 0.732285i | ||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −9.54155 | + | 16.5265i | −0.581759 | + | 1.00764i | 0.413512 | + | 0.910499i | \(0.364302\pi\) |
−0.995271 | + | 0.0971371i | \(0.969031\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −1.48490 | + | 2.57192i | −0.0902012 | + | 0.156233i | −0.907596 | − | 0.419845i | \(-0.862084\pi\) |
0.817395 | + | 0.576078i | \(0.195418\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 16.6711i | 1.00898i | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −7.83238 | − | 17.6114i | −0.472310 | − | 1.06201i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | − | 5.51535i | − | 0.331385i | −0.986177 | − | 0.165693i | \(-0.947014\pi\) | ||
0.986177 | − | 0.165693i | \(-0.0529860\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −5.52024 | − | 9.56133i | −0.330488 | − | 0.572422i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 12.4800 | + | 21.6159i | 0.744493 | + | 1.28950i | 0.950431 | + | 0.310934i | \(0.100642\pi\) |
−0.205939 | + | 0.978565i | \(0.566025\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −11.6526 | − | 6.72761i | −0.692673 | − | 0.399915i | 0.111939 | − | 0.993715i | \(-0.464294\pi\) |
−0.804613 | + | 0.593800i | \(0.797627\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 8.87041 | − | 8.44166i | 0.525438 | − | 0.500041i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 31.5336 | + | 18.2060i | 1.86137 | + | 1.07466i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −5.14486 | − | 8.91116i | −0.302639 | − | 0.524186i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −7.05653 | − | 12.2223i | −0.413661 | − | 0.716482i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | − | 23.7710i | − | 1.38871i | −0.719630 | − | 0.694357i | \(-0.755689\pi\) | ||
0.719630 | − | 0.694357i | \(-0.244311\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.507305 | + | 0.258353i | −0.0295364 | + | 0.0150419i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | − | 21.4141i | − | 1.24257i | ||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 2.90117 | − | 5.02497i | 0.167779 | − | 0.290602i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 4.44946 | − | 7.70670i | 0.256463 | − | 0.444207i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | − | 13.7027i | − | 0.787200i | ||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 0.391711 | − | 7.44486i | 0.0224293 | − | 0.426291i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −5.84122 | − | 3.37243i | −0.333376 | − | 0.192475i | 0.323963 | − | 0.946070i | \(-0.394985\pi\) |
−0.657339 | + | 0.753595i | \(0.728318\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −7.19455 | + | 12.4613i | −0.409284 | + | 0.708900i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −11.6908 | −0.662924 | −0.331462 | − | 0.943468i | \(-0.607542\pi\) | ||||
−0.331462 | + | 0.943468i | \(0.607542\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −15.2101 | + | 8.78157i | −0.859727 | + | 0.496364i | −0.863921 | − | 0.503628i | \(-0.831998\pi\) |
0.00419387 | + | 0.999991i | \(0.498665\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 15.7802 | + | 0.830276i | 0.889115 | + | 0.0467807i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −28.5399 | + | 16.4775i | −1.60296 | + | 0.925469i | −0.612067 | + | 0.790806i | \(0.709662\pi\) |
−0.990891 | + | 0.134663i | \(0.957005\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −4.98949 | − | 8.64206i | −0.279358 | − | 0.483862i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −11.5206 | + | 19.9543i | −0.643020 | + | 1.11374i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −2.61807 | + | 10.9837i | −0.145673 | + | 0.611148i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −10.7947 | − | 7.84966i | −0.598785 | − | 0.435421i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 14.2632 | − | 8.23486i | 0.788757 | − | 0.455389i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −4.24594 | − | 7.35418i | −0.234086 | − | 0.405449i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −4.54726 | −0.249940 | −0.124970 | − | 0.992161i | \(-0.539883\pi\) | ||||
−0.124970 | + | 0.992161i | \(0.539883\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −3.39515 | + | 1.96019i | −0.186053 | + | 0.107418i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −29.4859 | − | 1.55140i | −1.61099 | − | 0.0847619i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 19.0180 | + | 10.9801i | 1.03598 | + | 0.598122i | 0.918691 | − | 0.394976i | \(-0.129247\pi\) |
0.117286 | + | 0.993098i | \(0.462581\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −0.437804 | + | 0.758299i | −0.0237783 | + | 0.0411851i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −29.9376 | −1.62121 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | − | 53.2439i | − | 2.87490i | ||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 5.12049 | + | 3.32679i | 0.275678 | + | 0.179108i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −6.28915 | − | 3.63104i | −0.337619 | − | 0.194925i | 0.321599 | − | 0.946876i | \(-0.395780\pi\) |
−0.659219 | + | 0.751951i | \(0.729113\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 16.0910 | 0.861329 | 0.430665 | − | 0.902512i | \(-0.358279\pi\) | ||||
0.430665 | + | 0.902512i | \(0.358279\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −7.41433 | − | 12.8420i | −0.395748 | − | 0.685455i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | − | 33.4331i | − | 1.77947i | −0.456481 | − | 0.889733i | \(-0.650890\pi\) | ||
0.456481 | − | 0.889733i | \(-0.349110\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 15.3730 | − | 7.82894i | 0.815914 | − | 0.415517i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 14.0104 | − | 8.08891i | 0.741509 | − | 0.428110i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 9.97814 | − | 17.2826i | 0.526626 | − | 0.912143i | −0.472893 | − | 0.881120i | \(-0.656790\pi\) |
0.999519 | − | 0.0310231i | \(-0.00987655\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −15.9010 | + | 10.3999i | −0.836895 | + | 0.547363i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −4.20007 | − | 2.42491i | −0.220446 | − | 0.127275i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 4.57626 | + | 8.98600i | 0.239532 | + | 0.470349i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 6.60735 | − | 3.81476i | 0.344901 | − | 0.199129i | −0.317536 | − | 0.948246i | \(-0.602856\pi\) |
0.662437 | + | 0.749117i | \(0.269522\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −10.4132 | −0.542089 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 19.7956 | + | 34.2869i | 1.02773 | + | 1.78009i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 2.22095i | 0.114996i | 0.998346 | + | 0.0574982i | \(0.0183123\pi\) | ||||
−0.998346 | + | 0.0574982i | \(0.981688\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 8.84635 | − | 10.9105i | 0.456824 | − | 0.563416i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −5.98437 | − | 3.45508i | −0.308211 | − | 0.177946i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −6.92717 | −0.355825 | −0.177912 | − | 0.984046i | \(-0.556934\pi\) | ||||
−0.177912 | + | 0.984046i | \(0.556934\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 17.4037 | 0.891616 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −16.6386 | − | 9.60631i | −0.850193 | − | 0.490859i | 0.0105227 | − | 0.999945i | \(-0.496650\pi\) |
−0.860716 | + | 0.509085i | \(0.829984\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 23.3448 | − | 35.9316i | 1.18976 | − | 1.83124i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 2.54494i | 0.129367i | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 13.4261 | + | 23.2547i | 0.680730 | + | 1.17906i | 0.974758 | + | 0.223262i | \(0.0716706\pi\) |
−0.294029 | + | 0.955797i | \(0.594996\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −5.63065 | −0.284754 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −13.3072 | + | 7.68291i | −0.671259 | + | 0.387551i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 22.0263 | − | 11.2173i | 1.10827 | − | 0.564401i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −6.42312 | − | 3.70839i | −0.322367 | − | 0.186119i | 0.330080 | − | 0.943953i | \(-0.392924\pi\) |
−0.652447 | + | 0.757834i | \(0.726258\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 26.4805 | + | 6.31190i | 1.32568 | + | 0.315990i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 2.66556 | − | 4.61689i | 0.133112 | − | 0.230557i | −0.791763 | − | 0.610829i | \(-0.790836\pi\) |
0.924875 | + | 0.380272i | \(0.124170\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −17.9535 | + | 10.3655i | −0.894327 | + | 0.516340i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 5.40805 | − | 2.75413i | 0.268728 | − | 0.136854i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 10.6306i | 0.526938i | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −5.70960 | − | 9.88933i | −0.282322 | − | 0.488996i | 0.689634 | − | 0.724158i | \(-0.257771\pi\) |
−0.971956 | + | 0.235162i | \(0.924438\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −11.5546 | −0.569948 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −1.09605 | − | 0.632807i | −0.0539333 | − | 0.0311384i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −3.70783 | + | 5.70698i | −0.182010 | + | 0.280145i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 8.09526i | 0.396426i | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 12.2311 | 0.597529 | 0.298765 | − | 0.954327i | \(-0.403425\pi\) | ||||
0.298765 | + | 0.954327i | \(0.403425\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 6.63359 | − | 11.4897i | 0.323301 | − | 0.559974i | −0.657866 | − | 0.753135i | \(-0.728541\pi\) |
0.981167 | + | 0.193161i | \(0.0618739\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 2.10317 | + | 1.21427i | 0.102260 | + | 0.0590397i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −1.35919 | + | 12.8806i | −0.0659302 | + | 0.624801i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 14.3531 | − | 8.28678i | 0.694597 | − | 0.401026i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −12.9281 | −0.624174 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −8.19094 | − | 14.1871i | −0.394544 | − | 0.683370i | 0.598499 | − | 0.801124i | \(-0.295764\pi\) |
−0.993043 | + | 0.117754i | \(0.962431\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 13.0054 | − | 7.50864i | 0.624997 | − | 0.360842i | −0.153815 | − | 0.988100i | \(-0.549156\pi\) |
0.778812 | + | 0.627257i | \(0.215823\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 3.96196 | − | 6.09812i | 0.189961 | − | 0.292383i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −6.88329 | − | 6.51076i | −0.329272 | − | 0.311452i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 7.68192 | − | 13.3055i | 0.366638 | − | 0.635035i | −0.622400 | − | 0.782700i | \(-0.713842\pi\) |
0.989038 | + | 0.147664i | \(0.0471755\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 12.5891 | + | 21.8050i | 0.599481 | + | 1.03833i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 20.9890 | − | 12.1180i | 0.997219 | − | 0.575745i | 0.0897946 | − | 0.995960i | \(-0.471379\pi\) |
0.907424 | + | 0.420216i | \(0.138046\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −1.11898 | + | 21.2674i | −0.0530450 | + | 1.00817i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −25.1073 | + | 14.4957i | −1.18754 | + | 0.685624i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −16.8854 | −0.796873 | −0.398436 | − | 0.917196i | \(-0.630447\pi\) | ||||
−0.398436 | + | 0.917196i | \(0.630447\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −14.1183 | + | 24.4536i | −0.664805 | + | 1.15148i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −21.9359 | − | 12.6647i | −1.03064 | − | 0.595039i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 1.55902 | − | 29.6308i | 0.0730882 | − | 1.38912i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | − | 29.1914i | − | 1.36551i | −0.730645 | − | 0.682757i | \(-0.760781\pi\) | ||
0.730645 | − | 0.682757i | \(-0.239219\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −7.19495 | + | 12.4620i | −0.335831 | + | 0.581677i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −1.87254 | + | 3.24333i | −0.0872127 | + | 0.151057i | −0.906332 | − | 0.422566i | \(-0.861129\pi\) |
0.819119 | + | 0.573623i | \(0.194463\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 21.4714i | 0.997860i | 0.866642 | + | 0.498930i | \(0.166273\pi\) | ||||
−0.866642 | + | 0.498930i | \(0.833727\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −9.90066 | − | 19.4411i | −0.459132 | − | 0.901558i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 29.1079i | 1.34695i | 0.739209 | + | 0.673476i | \(0.235200\pi\) | ||||
−0.739209 | + | 0.673476i | \(0.764800\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −32.8204 | − | 56.8466i | −1.51550 | − | 2.62493i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 7.45675 | + | 12.9155i | 0.343589 | + | 0.595114i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 5.97637 | + | 3.45046i | 0.274794 | + | 0.158652i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −16.5555 | + | 14.1745i | −0.759618 | + | 0.650370i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −9.80547 | − | 5.66119i | −0.448962 | − | 0.259208i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −0.258348 | − | 0.447471i | −0.0118042 | − | 0.0204455i | 0.860063 | − | 0.510188i | \(-0.170424\pi\) |
−0.871867 | + | 0.489742i | \(0.837091\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 3.68068 | + | 6.37513i | 0.167825 | + | 0.290681i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 13.5749i | 0.617681i | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 11.3991 | + | 22.3835i | 0.517607 | + | 1.01638i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | − | 10.6668i | − | 0.483358i | −0.970356 | − | 0.241679i | \(-0.922302\pi\) | ||
0.970356 | − | 0.241679i | \(-0.0776981\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 8.27691 | − | 14.3360i | 0.374295 | − | 0.648298i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −12.0852 | + | 20.9322i | −0.545398 | + | 0.944656i | 0.453184 | + | 0.891417i | \(0.350288\pi\) |
−0.998582 | + | 0.0532395i | \(0.983045\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 6.70569i | 0.302009i | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −0.643861 | + | 12.2372i | −0.0289394 | + | 0.550022i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 33.2141 | + | 19.1761i | 1.48985 | + | 0.860168i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −2.38934 | + | 4.13846i | −0.106962 | + | 0.185263i | −0.914538 | − | 0.404500i | \(-0.867446\pi\) |
0.807576 | + | 0.589763i | \(0.200779\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −4.60535 | −0.205752 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −15.4577 | + | 8.92453i | −0.689227 | + | 0.397925i | −0.803322 | − | 0.595545i | \(-0.796936\pi\) |
0.114096 | + | 0.993470i | \(0.463603\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −1.28143 | + | 24.3549i | −0.0570229 | + | 1.08378i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 6.39130 | − | 3.69002i | 0.283847 | − | 0.163879i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 3.57492 | + | 6.19194i | 0.158455 | + | 0.274453i | 0.934312 | − | 0.356457i | \(-0.116015\pi\) |
−0.775856 | + | 0.630909i | \(0.782682\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −11.2091 | + | 19.4147i | −0.495860 | + | 0.858854i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −23.2055 | + | 6.91484i | −1.02455 | + | 0.305298i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 13.9528 | − | 21.4757i | 0.614832 | − | 0.946330i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 5.70301 | − | 3.29263i | 0.250818 | − | 0.144810i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −0.0536272 | − | 0.0928851i | −0.00235397 | − | 0.00407720i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −19.7280 | −0.864301 | −0.432151 | − | 0.901801i | \(-0.642245\pi\) | ||||
−0.432151 | + | 0.901801i | \(0.642245\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 31.4070 | − | 18.1328i | 1.37333 | − | 0.792894i | 0.381986 | − | 0.924168i | \(-0.375240\pi\) |
0.991346 | + | 0.131274i | \(0.0419069\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 31.0538 | + | 3.27686i | 1.35530 | + | 0.143014i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 17.4222 | + | 10.0587i | 0.758925 | + | 0.438166i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −9.13764 | + | 15.8269i | −0.397289 | + | 0.688124i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0.361944 | 0.0157070 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 19.5530i | 0.846936i | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 22.3426 | − | 34.3890i | 0.965954 | − | 1.48677i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −17.6538 | − | 10.1924i | −0.761816 | − | 0.439835i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 68.2738 | 2.94076 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 11.4419 | + | 19.8180i | 0.491927 | + | 0.852043i | 0.999957 | − | 0.00929658i | \(-0.00295924\pi\) |
−0.508029 | + | 0.861340i | \(0.669626\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 25.5159i | 1.09499i | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −26.1212 | + | 13.3026i | −1.11891 | + | 0.569821i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −11.0134 | + | 6.35861i | −0.470901 | + | 0.271875i | −0.716617 | − | 0.697467i | \(-0.754310\pi\) |
0.245716 | + | 0.969342i | \(0.420977\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −2.36988 | + | 4.10475i | −0.101144 | + | 0.175187i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −7.75383 | + | 8.19749i | −0.330324 | + | 0.349225i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 47.5889 | + | 27.4755i | 2.02369 | + | 1.16838i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −6.90335 | + | 3.51564i | −0.293031 | + | 0.149231i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −19.3648 | + | 11.1803i | −0.820511 | + | 0.473722i | −0.850593 | − | 0.525825i | \(-0.823757\pi\) |
0.0300814 | + | 0.999547i | \(0.490423\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 4.77869 | 0.202117 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 6.27277 | + | 10.8648i | 0.264837 | + | 0.458710i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | − | 10.6447i | − | 0.448619i | −0.974518 | − | 0.224310i | \(-0.927987\pi\) | ||
0.974518 | − | 0.224310i | \(-0.0720127\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0.849056 | − | 1.30684i | 0.0357201 | − | 0.0549792i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 11.6843 | + | 6.74595i | 0.490696 | + | 0.283303i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 3.13498 | 0.131425 | 0.0657126 | − | 0.997839i | \(-0.479068\pi\) | ||||
0.0657126 | + | 0.997839i | \(0.479068\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 1.29260 | 0.0540938 | 0.0270469 | − | 0.999634i | \(-0.491390\pi\) | ||||
0.0270469 | + | 0.999634i | \(0.491390\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 23.8446 | + | 13.7667i | 0.996124 | + | 0.575112i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −8.78993 | − | 6.39181i | −0.366565 | − | 0.266557i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | − | 8.18544i | − | 0.340764i | −0.985378 | − | 0.170382i | \(-0.945500\pi\) | ||
0.985378 | − | 0.170382i | \(-0.0545002\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −3.15943 | − | 5.47229i | −0.131301 | − | 0.227420i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −15.1298 | −0.627689 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −26.5887 | + | 15.3510i | −1.10119 | + | 0.635774i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 3.85084 | + | 7.56156i | 0.159213 | + | 0.312632i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −15.7359 | − | 9.08512i | −0.649490 | − | 0.374983i | 0.138771 | − | 0.990325i | \(-0.455685\pi\) |
−0.788261 | + | 0.615341i | \(0.789018\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 9.66715 | + | 32.4420i | 0.398328 | + | 1.33675i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 12.0099 | − | 20.8017i | 0.494021 | − | 0.855669i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 7.69621 | − | 4.44341i | 0.316046 | − | 0.182469i | −0.333583 | − | 0.942721i | \(-0.608258\pi\) |
0.649629 | + | 0.760252i | \(0.274924\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −25.6582 | + | 13.0668i | −1.05188 | + | 0.535688i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | − | 22.7252i | − | 0.930081i | ||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −2.18264 | − | 3.78044i | −0.0891801 | − | 0.154465i | 0.817985 | − | 0.575240i | \(-0.195091\pi\) |
−0.907165 | + | 0.420775i | \(0.861758\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −4.25303 | −0.173485 | −0.0867424 | − | 0.996231i | \(-0.527646\pi\) | ||||
−0.0867424 | + | 0.996231i | \(0.527646\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 16.2572 | + | 9.38608i | 0.662043 | + | 0.382231i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 7.23833 | + | 4.70275i | 0.294280 | + | 0.191194i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | − | 23.5995i | − | 0.957876i | −0.877849 | − | 0.478938i | \(-0.841022\pi\) | ||
0.877849 | − | 0.478938i | \(-0.158978\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 16.1667 | 0.655109 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 2.28005 | − | 3.94917i | 0.0922410 | − | 0.159766i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 17.6090 | + | 10.1665i | 0.711220 | + | 0.410623i | 0.811512 | − | 0.584335i | \(-0.198645\pi\) |
−0.100293 | + | 0.994958i | \(0.531978\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −20.5489 | − | 1.08118i | −0.828613 | − | 0.0435974i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −27.0932 | + | 15.6422i | −1.09073 | + | 0.629733i | −0.933771 | − | 0.357872i | \(-0.883502\pi\) |
−0.156959 | + | 0.987605i | \(0.550169\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −25.7635 | −1.03552 | −0.517761 | − | 0.855525i | \(-0.673234\pi\) | ||||
−0.517761 | + | 0.855525i | \(0.673234\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −6.03733 | − | 10.4570i | −0.242270 | − | 0.419624i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −41.0020 | + | 23.6725i | −1.64271 | + | 0.948420i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −16.7436 | + | 18.5648i | −0.669744 | + | 0.742592i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −4.89474 | + | 20.5351i | −0.195477 | + | 0.820092i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 3.57177 | − | 6.18649i | 0.142416 | − | 0.246671i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −10.6458 | − | 18.4391i | −0.423804 | − | 0.734050i | 0.572504 | − | 0.819902i | \(-0.305972\pi\) |
−0.996308 | + | 0.0858517i | \(0.972639\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 17.4900 | − | 10.0979i | 0.695167 | − | 0.401355i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −30.9328 | − | 1.62753i | −1.22753 | − | 0.0645865i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 40.9436 | − | 23.6388i | 1.62224 | − | 0.936603i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −10.9681 | −0.433891 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 16.5525 | − | 28.6698i | 0.653785 | − | 1.13239i | −0.328412 | − | 0.944535i | \(-0.606513\pi\) |
0.982197 | − | 0.187854i | \(-0.0601533\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 26.1024 | + | 15.0702i | 1.02938 | + | 0.594311i | 0.916806 | − | 0.399333i | \(-0.130758\pi\) |
0.112570 | + | 0.993644i | \(0.464092\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −0.264236 | + | 5.02208i | −0.0104043 | + | 0.197744i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 10.5273i | 0.413870i | 0.978355 | + | 0.206935i | \(0.0663489\pi\) | ||||
−0.978355 | + | 0.206935i | \(0.933651\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 0.490728 | − | 0.849966i | 0.0192628 | − | 0.0333641i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 24.2506 | − | 42.0033i | 0.950456 | − | 1.64624i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | − | 14.9511i | − | 0.585081i | −0.956253 | − | 0.292540i | \(-0.905499\pi\) | ||
0.956253 | − | 0.292540i | \(-0.0945006\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 24.3703 | − | 12.4110i | 0.952228 | − | 0.484937i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | − | 6.41120i | − | 0.250125i | ||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −16.6909 | − | 28.9094i | −0.650184 | − | 1.12615i | −0.983078 | − | 0.183187i | \(-0.941359\pi\) |
0.332894 | − | 0.942964i | \(-0.391975\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −12.7433 | − | 22.0720i | −0.495655 | − | 0.858501i | 0.504332 | − | 0.863510i | \(-0.331739\pi\) |
−0.999987 | + | 0.00500935i | \(0.998405\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 7.52353 | + | 4.34371i | 0.292190 | + | 0.168696i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −46.4756 | − | 13.6950i | −1.80225 | − | 0.531069i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −4.87295 | − | 2.81340i | −0.188681 | − | 0.108935i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −10.8803 | − | 18.8453i | −0.420657 | − | 0.728600i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 6.42622 | + | 11.1305i | 0.248081 | + | 0.429690i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | − | 9.87133i | − | 0.380512i | −0.981735 | − | 0.190256i | \(-0.939068\pi\) | ||
0.981735 | − | 0.190256i | \(-0.0609318\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −25.3786 | + | 11.2867i | −0.976821 | + | 0.434425i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 11.8367i | 0.454922i | 0.973787 | + | 0.227461i | \(0.0730424\pi\) | ||||
−0.973787 | + | 0.227461i | \(0.926958\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −27.9209 | + | 48.3605i | −1.07151 | + | 1.85590i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −14.9239 | + | 25.8490i | −0.571887 | + | 0.990537i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 29.6716i | 1.13535i | 0.823253 | + | 0.567675i | \(0.192157\pi\) | ||||
−0.823253 | + | 0.567675i | \(0.807843\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 20.5369 | + | 1.08055i | 0.784676 | + | 0.0412857i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0.796696 | + | 0.459972i | 0.0303958 | + | 0.0175490i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −10.6301 | + | 18.4119i | −0.404976 | + | 0.701438i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 9.73437 | 0.370313 | 0.185156 | − | 0.982709i | \(-0.440721\pi\) | ||||
0.185156 | + | 0.982709i | \(0.440721\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −23.5924 | + | 13.6211i | −0.896203 | + | 0.517423i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 0.757040 | − | 14.3883i | 0.0287162 | − | 0.545780i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 16.4324 | − | 9.48723i | 0.622420 | − | 0.359355i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −12.4997 | − | 21.6501i | −0.472782 | − | 0.818882i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 10.3345 | − | 17.8999i | 0.390329 | − | 0.676070i | −0.602164 | − | 0.798373i | \(-0.705695\pi\) |
0.992493 | + | 0.122303i | \(0.0390279\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 11.5199 | − | 3.43272i | 0.434480 | − | 0.129468i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 4.02423 | + | 2.61455i | 0.151561 | + | 0.0984696i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −46.9543 | + | 27.1091i | −1.76590 | + | 1.01954i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 10.0066 | + | 17.3319i | 0.375806 | + | 0.650915i | 0.990447 | − | 0.137892i | \(-0.0440326\pi\) |
−0.614641 | + | 0.788807i | \(0.710699\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −15.7150 | −0.589360 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −14.6191 | + | 8.44037i | −0.547491 | + | 0.316094i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 22.9781 | + | 1.20899i | 0.859331 | + | 0.0452136i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −31.4506 | − | 18.1580i | −1.17454 | − | 0.678123i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 11.2807 | − | 19.5387i | 0.420698 | − | 0.728671i | −0.575309 | − | 0.817936i | \(-0.695118\pi\) |
0.996008 | + | 0.0892647i | \(0.0284517\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 56.9341 | 2.12034 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | − | 29.8954i | − | 1.11182i | ||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −7.61217 | + | 10.4682i | −0.282709 | + | 0.388777i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 4.81051 | + | 2.77735i | 0.178412 | + | 0.103006i | 0.586546 | − | 0.809916i | \(-0.300487\pi\) |
−0.408134 | + | 0.912922i | \(0.633821\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −24.7954 | −0.918349 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −2.31864 | − | 4.01601i | −0.0857581 | − | 0.148537i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | − | 45.3490i | − | 1.67500i | −0.546436 | − | 0.837501i | \(-0.684016\pi\) | ||
0.546436 | − | 0.837501i | \(-0.315984\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 22.5788 | + | 44.3361i | 0.832833 | + | 1.63536i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 44.0833 | − | 25.4515i | 1.62383 | − | 0.937518i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −9.01081 | + | 15.6072i | −0.331468 | + | 0.574119i | −0.982800 | − | 0.184674i | \(-0.940877\pi\) |
0.651332 | + | 0.758793i | \(0.274211\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 4.17461 | + | 14.0096i | 0.153358 | + | 0.514654i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −36.9333 | − | 21.3235i | −1.35495 | − | 0.782282i | −0.366013 | − | 0.930610i | \(-0.619277\pi\) |
−0.988938 | + | 0.148328i | \(0.952611\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 45.9808 | − | 23.4164i | 1.68461 | − | 0.857911i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 3.74717 | − | 2.16343i | 0.137102 | − | 0.0791557i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 91.1687 | 3.33123 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −2.45338 | − | 4.24938i | −0.0895252 | − | 0.155062i | 0.817785 | − | 0.575523i | \(-0.195202\pi\) |
−0.907311 | + | 0.420461i | \(0.861868\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | − | 8.66102i | − | 0.315625i | ||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 37.8040 | + | 24.5613i | 1.37583 | + | 0.893876i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 24.2213 | + | 13.9842i | 0.880339 | + | 0.508264i | 0.870770 | − | 0.491690i | \(-0.163621\pi\) |
0.00956884 | + | 0.999954i | \(0.496954\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −10.5271 | −0.382108 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −11.7443 | −0.425731 | −0.212866 | − | 0.977081i | \(-0.568280\pi\) | ||||
−0.212866 | + | 0.977081i | \(0.568280\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −56.4359 | − | 32.5833i | −2.04312 | − | 1.17959i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 4.48628 | − | 6.90515i | 0.162202 | − | 0.249656i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | − | 0.679630i | − | 0.0245400i | ||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 8.22905 | + | 14.2531i | 0.296747 | + | 0.513981i | 0.975390 | − | 0.220488i | \(-0.0707648\pi\) |
−0.678643 | + | 0.734469i | \(0.737432\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 15.9020 | 0.572698 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 39.7578 | − | 22.9542i | 1.42999 | − | 0.825605i | 0.432871 | − | 0.901456i | \(-0.357501\pi\) |
0.997119 | + | 0.0758511i | \(0.0241674\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 15.7791 | + | 35.4800i | 0.566803 | + | 1.27448i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −14.9150 | − | 8.61118i | −0.535073 | − | 0.308924i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 31.0582 | + | 7.40303i | 1.11278 | + | 0.265241i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −14.8707 | + | 25.7568i | −0.532115 | + | 0.921650i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −12.4535 | + | 7.19002i | −0.445051 | + | 0.256950i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −12.0456 | − | 23.6530i | −0.429927 | − | 0.844211i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | − | 28.1763i | − | 1.00438i | −0.864758 | − | 0.502189i | \(-0.832528\pi\) | ||
0.864758 | − | 0.502189i | \(-0.167472\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −15.6719 | − | 27.1446i | −0.557936 | − | 0.966373i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 3.46456 | 0.123186 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 7.70757 | + | 4.44997i | 0.273704 | + | 0.158023i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −18.7619 | − | 12.1896i | −0.665416 | − | 0.432322i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 1.18117i | 0.0418394i | 0.999781 | + | 0.0209197i | \(0.00665943\pi\) | ||||
−0.999781 | + | 0.0209197i | \(0.993341\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −4.42517 | −0.156551 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 6.76994 | − | 11.7259i | 0.239204 | − | 0.414314i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −15.0556 | − | 8.69238i | −0.531302 | − | 0.306747i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 1.26948 | − | 24.1278i | 0.0447433 | − | 0.850392i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 20.7628 | − | 11.9874i | 0.730884 | − | 0.421976i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −4.72471 | −0.166112 | −0.0830561 | − | 0.996545i | \(-0.526468\pi\) | ||||
−0.0830561 | + | 0.996545i | \(0.526468\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 18.7800 | + | 32.5280i | 0.659456 | + | 1.14221i | 0.980757 | + | 0.195234i | \(0.0625465\pi\) |
−0.321301 | + | 0.946977i | \(0.604120\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 3.23119 | − | 1.86553i | 0.113323 | − | 0.0654270i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −16.0518 | + | 24.7065i | −0.562272 | + | 0.865431i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 1.80927 | − | 7.59050i | 0.0632984 | − | 0.265558i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −9.43222 | + | 16.3371i | −0.329588 | + | 0.570864i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −17.3453 | − | 30.0430i | −0.605357 | − | 1.04851i | −0.991995 | − | 0.126277i | \(-0.959697\pi\) |
0.386638 | − | 0.922231i | \(-0.373636\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 2.19067 | − | 1.26478i | 0.0763620 | − | 0.0440876i | −0.461333 | − | 0.887227i | \(-0.652629\pi\) |
0.537695 | + | 0.843140i | \(0.319295\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −2.54113 | + | 24.0816i | −0.0884709 | + | 0.838412i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 18.0721 | − | 10.4339i | 0.628428 | − | 0.362823i | −0.151715 | − | 0.988424i | \(-0.548480\pi\) |
0.780143 | + | 0.625601i | \(0.215146\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −26.1170 | −0.907081 | −0.453540 | − | 0.891236i | \(-0.649839\pi\) | ||||
−0.453540 | + | 0.891236i | \(0.649839\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −3.46456 | + | 6.00080i | −0.120184 | + | 0.208165i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −39.7321 | − | 22.9393i | −1.37664 | − | 0.794801i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 8.18544 | + | 0.430676i | 0.283269 | + | 0.0149042i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 43.1410i | 1.49117i | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −5.69792 | + | 9.86908i | −0.196714 | + | 0.340719i | −0.947461 | − | 0.319871i | \(-0.896360\pi\) |
0.750747 | + | 0.660590i | \(0.229694\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 11.1495 | − | 19.3114i | 0.384464 | − | 0.665911i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | − | 31.3580i | − | 1.08003i | ||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −11.7048 | + | 5.96086i | −0.402658 | + | 0.205060i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 19.1895i | 0.659360i | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 8.45213 | + | 14.6395i | 0.290077 | + | 0.502427i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 2.99710 | + | 5.19113i | 0.102739 | + | 0.177950i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 5.39521 | + | 3.11493i | 0.184728 | + | 0.106653i | 0.589512 | − | 0.807759i | \(-0.299320\pi\) |
−0.404784 | + | 0.914412i | \(0.632653\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 13.4688 | − | 3.25380i | 0.460624 | − | 0.111278i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −43.9606 | − | 25.3807i | −1.50166 | − | 0.866987i | −0.999998 | − | 0.00192568i | \(-0.999387\pi\) |
−0.501667 | − | 0.865061i | \(-0.667280\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −4.07445 | − | 7.05715i | −0.139018 | − | 0.240787i | 0.788107 | − | 0.615538i | \(-0.211061\pi\) |
−0.927125 | + | 0.374751i | \(0.877728\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −22.8728 | − | 39.6168i | −0.779502 | − | 1.35014i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 1.20591i | 0.0410498i | 0.999789 | + | 0.0205249i | \(0.00653373\pi\) | ||||
−0.999789 | + | 0.0205249i | \(0.993466\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 0.0866295 | + | 0.170107i | 0.00294549 | + | 0.00578380i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 12.9273i | 0.439035i | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −21.3066 | + | 36.9041i | −0.722778 | + | 1.25189i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 17.6244 | − | 30.5264i | 0.597180 | − | 1.03435i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | − | 15.9698i | − | 0.540497i | ||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −54.8879 | − | 8.72826i | −1.85555 | − | 0.295069i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 14.2958 | + | 8.25368i | 0.482735 | + | 0.278707i | 0.721555 | − | 0.692357i | \(-0.243428\pi\) |
−0.238821 | + | 0.971064i | \(0.576761\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −14.9321 | + | 25.8632i | −0.503649 | + | 0.872345i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −22.9549 | −0.773370 | −0.386685 | − | 0.922212i | \(-0.626380\pi\) | ||||
−0.386685 | + | 0.922212i | \(0.626380\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 24.9234 | − | 14.3895i | 0.838739 | − | 0.484246i | −0.0180963 | − | 0.999836i | \(-0.505761\pi\) |
0.856835 | + | 0.515590i | \(0.172427\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0.714245 | + | 0.0375800i | 0.0240091 | + | 0.00126324i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 26.4482 | − | 15.2699i | 0.888044 | − | 0.512712i | 0.0147418 | − | 0.999891i | \(-0.495307\pi\) |
0.873302 | + | 0.487179i | \(0.161974\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −34.4310 | − | 59.6362i | −1.15478 | − | 2.00013i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −5.23133 | + | 9.06094i | −0.175256 | + | 0.303553i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −5.40963 | − | 5.11686i | −0.181026 | − | 0.171229i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 30.4242 | + | 19.7667i | 1.01697 | + | 0.660727i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −6.31305 | + | 3.64484i | −0.210787 | + | 0.121698i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 10.0518 | + | 17.4103i | 0.335248 | + | 0.580666i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 20.6312 | 0.687324 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −9.68219 | + | 5.59001i | −0.322203 | + | 0.186024i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 2.38616 | − | 45.3514i | 0.0793186 | − | 1.50753i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −15.1811 | − | 8.76481i | −0.504080 | − | 0.291031i | 0.226317 | − | 0.974054i | \(-0.427332\pi\) |
−0.730397 | + | 0.683023i | \(0.760665\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 7.75274 | − | 13.4281i | 0.257142 | − | 0.445383i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 1.25152 | 0.0414648 | 0.0207324 | − | 0.999785i | \(-0.493400\pi\) | ||||
0.0207324 | + | 0.999785i | \(0.493400\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | − | 11.7328i | − | 0.388299i | ||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −5.10281 | + | 7.85408i | −0.168694 | + | 0.259648i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 52.6532 | + | 30.3994i | 1.73876 | + | 1.00388i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −17.4588 | −0.575912 | −0.287956 | − | 0.957644i | \(-0.592976\pi\) | ||||
−0.287956 | + | 0.957644i | \(0.592976\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 4.23690 | + | 7.33853i | 0.139611 | + | 0.241813i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 20.5950i | 0.677893i | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 12.5986 | − | 5.60303i | 0.414240 | − | 0.184227i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −14.1008 | + | 8.14109i | −0.463131 | + | 0.267389i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 28.6100 | − | 49.5540i | 0.938665 | − | 1.62582i | 0.170701 | − | 0.985323i | \(-0.445397\pi\) |
0.767964 | − | 0.640493i | \(-0.221270\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −22.0463 | − | 73.9851i | −0.722538 | − | 2.42476i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 12.7198 | + | 7.34378i | 0.416428 | + | 0.240425i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −10.1330 | − | 19.8974i | −0.331386 | − | 0.650714i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −8.38001 | + | 4.83820i | −0.273763 | + | 0.158057i | −0.630596 | − | 0.776111i | \(-0.717190\pi\) |
0.356834 | + | 0.934168i | \(0.383856\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 22.0652 | 0.720070 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −14.0336 | − | 24.3069i | −0.457482 | − | 0.792383i | 0.541345 | − | 0.840801i | \(-0.317915\pi\) |
−0.998827 | + | 0.0484179i | \(0.984582\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 15.9216i | 0.518479i | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −51.7785 | − | 33.6406i | −1.68435 | − | 1.09433i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −26.2228 | − | 15.1397i | −0.852125 | − | 0.491975i | 0.00924220 | − | 0.999957i | \(-0.497058\pi\) |
−0.861367 | + | 0.507983i | \(0.830391\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −12.0384 | −0.390784 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 41.4025 | 1.34257 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 5.82020 | + | 3.36029i | 0.188535 | + | 0.108851i | 0.591296 | − | 0.806454i | \(-0.298616\pi\) |
−0.402762 | + | 0.915305i | \(0.631950\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −41.0935 | − | 26.6985i | −1.32975 | − | 0.863942i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 12.5369i | 0.405262i | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 22.8594 | + | 39.5937i | 0.738169 | + | 1.27855i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 29.3124 | 0.945560 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −22.5796 | + | 13.0364i | −0.727618 | + | 0.420091i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 5.10374 | + | 10.0218i | 0.164295 | + | 0.322612i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −34.3960 | − | 19.8585i | −1.10610 | − | 0.638607i | −0.168284 | − | 0.985739i | \(-0.553823\pi\) |
−0.937817 | + | 0.347131i | \(0.887156\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 9.74809 | − | 10.3058i | 0.313154 | − | 0.331072i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −7.09379 | + | 12.2868i | −0.227651 | + | 0.394302i | −0.957111 | − | 0.289720i | \(-0.906438\pi\) |
0.729461 | + | 0.684023i | \(0.239771\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 27.7396 | − | 16.0155i | 0.889291 | − | 0.513432i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 6.81397 | + | 15.3215i | 0.218222 | + | 0.490680i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | − | 5.49394i | − | 0.175767i | −0.996131 | − | 0.0878833i | \(-0.971990\pi\) | ||
0.996131 | − | 0.0878833i | \(-0.0280103\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −18.3575 | − | 31.7962i | −0.586709 | − | 1.01621i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 18.6365 | 0.595019 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −32.7834 | − | 18.9275i | −1.04563 | − | 0.603695i | −0.124207 | − | 0.992256i | \(-0.539639\pi\) |
−0.921423 | + | 0.388562i | \(0.872972\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −23.2914 | + | 35.8494i | −0.742126 | + | 1.14226i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 10.6686i | 0.339587i | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 3.89118 | 0.123732 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 22.6116 | − | 39.1645i | 0.718282 | − | 1.24410i | −0.243398 | − | 0.969927i | \(-0.578262\pi\) |
0.961680 | − | 0.274175i | \(-0.0884047\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 4.94750 | + | 2.85644i | 0.157004 | + | 0.0906464i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −2.12518 | + | 40.3912i | −0.0673728 | + | 1.28049i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 42.8135 | − | 24.7184i | 1.35592 | − | 0.782840i | 0.366848 | − | 0.930281i | \(-0.380437\pi\) |
0.989071 | + | 0.147441i | \(0.0471037\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 15.3190 | 0.484672 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 380.2.r.a.49.4 | ✓ | 20 | |
3.2 | odd | 2 | 3420.2.bj.c.1189.2 | 20 | |||
5.2 | odd | 4 | 1900.2.i.g.201.4 | 20 | |||
5.3 | odd | 4 | 1900.2.i.g.201.7 | 20 | |||
5.4 | even | 2 | inner | 380.2.r.a.49.7 | yes | 20 | |
15.14 | odd | 2 | 3420.2.bj.c.1189.9 | 20 | |||
19.7 | even | 3 | inner | 380.2.r.a.349.7 | yes | 20 | |
57.26 | odd | 6 | 3420.2.bj.c.2629.9 | 20 | |||
95.7 | odd | 12 | 1900.2.i.g.501.4 | 20 | |||
95.64 | even | 6 | inner | 380.2.r.a.349.4 | yes | 20 | |
95.83 | odd | 12 | 1900.2.i.g.501.7 | 20 | |||
285.254 | odd | 6 | 3420.2.bj.c.2629.2 | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
380.2.r.a.49.4 | ✓ | 20 | 1.1 | even | 1 | trivial | |
380.2.r.a.49.7 | yes | 20 | 5.4 | even | 2 | inner | |
380.2.r.a.349.4 | yes | 20 | 95.64 | even | 6 | inner | |
380.2.r.a.349.7 | yes | 20 | 19.7 | even | 3 | inner | |
1900.2.i.g.201.4 | 20 | 5.2 | odd | 4 | |||
1900.2.i.g.201.7 | 20 | 5.3 | odd | 4 | |||
1900.2.i.g.501.4 | 20 | 95.7 | odd | 12 | |||
1900.2.i.g.501.7 | 20 | 95.83 | odd | 12 | |||
3420.2.bj.c.1189.2 | 20 | 3.2 | odd | 2 | |||
3420.2.bj.c.1189.9 | 20 | 15.14 | odd | 2 | |||
3420.2.bj.c.2629.2 | 20 | 285.254 | odd | 6 | |||
3420.2.bj.c.2629.9 | 20 | 57.26 | odd | 6 |