Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [644,2,Mod(9,644)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(644, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 22, 30]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("644.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 644 = 2^{2} \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 644.y (of order \(33\), degree \(20\), 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: | \(5.14236589017\) |
Analytic rank: | \(0\) |
Dimension: | \(320\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{33})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{33}]$ |
Embedding invariants
Embedding label | 445.5 | ||
Character | \(\chi\) | \(=\) | 644.445 |
Dual form | 644.2.y.a.233.5 |
$q$-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 \(\left(\mathbb{Z}/644\mathbb{Z}\right)^\times\).
\(n\) | \(185\) | \(281\) | \(323\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{3}{11}\right)\) | \(1\) |
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 | ||||||||
\(3\) | −1.17050 | − | 0.111769i | −0.675789 | − | 0.0645301i | −0.248482 | − | 0.968637i | \(-0.579932\pi\) |
−0.427307 | + | 0.904106i | \(0.640538\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −1.36749 | + | 3.95112i | −0.611562 | + | 1.76699i | 0.0295708 | + | 0.999563i | \(0.490586\pi\) |
−0.641133 | + | 0.767430i | \(0.721535\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.966088 | + | 2.46306i | −0.365147 | + | 0.930950i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −1.58820 | − | 0.306101i | −0.529402 | − | 0.102034i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.444864 | + | 0.178097i | 0.134132 | + | 0.0536982i | 0.437757 | − | 0.899093i | \(-0.355773\pi\) |
−0.303626 | + | 0.952791i | \(0.598197\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.11002 | − | 0.713363i | 0.307863 | − | 0.197851i | −0.377582 | − | 0.925976i | \(-0.623244\pi\) |
0.685445 | + | 0.728125i | \(0.259608\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 2.04227 | − | 4.47194i | 0.527311 | − | 1.15465i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 0.0590046 | − | 0.243220i | 0.0143107 | − | 0.0589896i | −0.964209 | − | 0.265145i | \(-0.914580\pi\) |
0.978519 | + | 0.206156i | \(0.0660953\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.97102 | − | 8.12466i | −0.452184 | − | 1.86393i | −0.501524 | − | 0.865144i | \(-0.667227\pi\) |
0.0493404 | − | 0.998782i | \(-0.484288\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 1.40610 | − | 2.77504i | 0.306837 | − | 0.605563i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −0.234517 | − | 4.79009i | −0.0489002 | − | 0.998804i | ||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −9.81101 | − | 7.71546i | −1.96220 | − | 1.54309i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 5.20937 | + | 1.52961i | 1.00254 | + | 0.294374i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −8.65285 | + | 2.54071i | −1.60679 | + | 0.471797i | −0.957426 | − | 0.288678i | \(-0.906784\pi\) |
−0.649367 | + | 0.760475i | \(0.724966\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 5.37929 | + | 7.55416i | 0.966149 | + | 1.35677i | 0.933996 | + | 0.357284i | \(0.116297\pi\) |
0.0321536 | + | 0.999483i | \(0.489763\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −0.500809 | − | 0.258185i | −0.0871796 | − | 0.0449442i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −8.41072 | − | 7.18535i | −1.42167 | − | 1.21455i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 3.38969 | + | 0.653310i | 0.557262 | + | 0.107403i | 0.460103 | − | 0.887865i | \(-0.347812\pi\) |
0.0971588 | + | 0.995269i | \(0.469025\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −1.37901 | + | 0.710927i | −0.220818 | + | 0.113839i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 2.55635 | + | 2.95018i | 0.399235 | + | 0.460741i | 0.919400 | − | 0.393324i | \(-0.128675\pi\) |
−0.520165 | + | 0.854066i | \(0.674130\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.31058 | − | 2.86978i | −0.199862 | − | 0.437637i | 0.782989 | − | 0.622035i | \(-0.213694\pi\) |
−0.982852 | + | 0.184398i | \(0.940967\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 3.38130 | − | 5.85659i | 0.504055 | − | 0.873049i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 1.20447 | + | 2.08620i | 0.175690 | + | 0.304304i | 0.940400 | − | 0.340071i | \(-0.110451\pi\) |
−0.764710 | + | 0.644375i | \(0.777118\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −5.13335 | − | 4.75907i | −0.733335 | − | 0.679867i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −0.0962496 | + | 0.278095i | −0.0134776 | + | 0.0389411i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −6.28494 | + | 3.24011i | −0.863302 | + | 0.445063i | −0.832215 | − | 0.554453i | \(-0.812927\pi\) |
−0.0310875 | + | 0.999517i | \(0.509897\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.31203 | + | 1.51416i | −0.176914 | + | 0.204170i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 1.39900 | + | 9.73023i | 0.185302 | + | 1.28880i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 0.366761 | + | 7.69926i | 0.0477482 | + | 1.00236i | 0.887908 | + | 0.460020i | \(0.152158\pi\) |
−0.840160 | + | 0.542338i | \(0.817539\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −12.0007 | + | 1.14593i | −1.53653 | + | 0.146721i | −0.828712 | − | 0.559675i | \(-0.810926\pi\) |
−0.707817 | + | 0.706396i | \(0.750320\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 2.28829 | − | 3.61613i | 0.288298 | − | 0.455589i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 1.30064 | + | 5.36132i | 0.161325 | + | 0.664990i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −9.16689 | − | 7.20892i | −1.11991 | − | 0.880710i | −0.126128 | − | 0.992014i | \(-0.540255\pi\) |
−0.993786 | + | 0.111304i | \(0.964497\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −0.260883 | + | 5.63302i | −0.0314067 | + | 0.678136i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 1.26767 | − | 8.81683i | 0.150445 | − | 1.04637i | −0.765031 | − | 0.643993i | \(-0.777277\pi\) |
0.915476 | − | 0.402372i | \(-0.131814\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 1.36407 | − | 1.30064i | 0.159652 | − | 0.152228i | −0.606042 | − | 0.795432i | \(-0.707244\pi\) |
0.765695 | + | 0.643204i | \(0.222395\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 10.6214 | + | 10.1275i | 1.22646 | + | 1.16943i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −0.868442 | + | 0.923672i | −0.0989681 | + | 0.105262i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0.832058 | + | 0.428956i | 0.0936139 | + | 0.0482613i | 0.504398 | − | 0.863471i | \(-0.331715\pi\) |
−0.410784 | + | 0.911733i | \(0.634745\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −1.42189 | − | 0.569241i | −0.157988 | − | 0.0632490i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −1.40519 | + | 1.62167i | −0.154239 | + | 0.178002i | −0.827610 | − | 0.561303i | \(-0.810300\pi\) |
0.673371 | + | 0.739305i | \(0.264846\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.880303 | + | 0.565737i | 0.0954823 | + | 0.0613627i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 10.4121 | − | 2.00678i | 1.11630 | − | 0.215149i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −2.51475 | + | 3.53147i | −0.266563 | + | 0.374335i | −0.926063 | − | 0.377370i | \(-0.876829\pi\) |
0.659500 | + | 0.751705i | \(0.270768\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.684686 | + | 3.42321i | 0.0717746 | + | 0.358850i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −5.45215 | − | 9.44339i | −0.565361 | − | 0.979234i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 34.7968 | + | 3.32270i | 3.57008 | + | 0.340901i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −11.2294 | − | 12.9594i | −1.14017 | − | 1.31583i | −0.941981 | − | 0.335666i | \(-0.891039\pi\) |
−0.198192 | − | 0.980163i | \(-0.563507\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −0.652020 | − | 0.419028i | −0.0655305 | − | 0.0421139i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 3.13183 | + | 9.04884i | 0.311629 | + | 0.900393i | 0.986687 | + | 0.162629i | \(0.0519973\pi\) |
−0.675058 | + | 0.737764i | \(0.735882\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 8.38119 | − | 6.59104i | 0.825823 | − | 0.649435i | −0.113091 | − | 0.993585i | \(-0.536075\pi\) |
0.938915 | + | 0.344150i | \(0.111833\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 9.04166 | + | 9.35052i | 0.882376 | + | 0.912518i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −11.1696 | + | 1.06657i | −1.07981 | + | 0.103109i | −0.619766 | − | 0.784786i | \(-0.712773\pi\) |
−0.460044 | + | 0.887896i | \(0.652167\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −1.33177 | + | 5.48963i | −0.127560 | + | 0.525811i | 0.871794 | + | 0.489873i | \(0.162957\pi\) |
−0.999354 | + | 0.0359378i | \(0.988558\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −3.89462 | − | 1.14356i | −0.369661 | − | 0.108542i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −0.839549 | + | 5.83919i | −0.0789781 | + | 0.549305i | 0.911464 | + | 0.411379i | \(0.134953\pi\) |
−0.990443 | + | 0.137926i | \(0.955956\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 19.2469 | + | 5.62382i | 1.79478 | + | 0.524424i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −1.98129 | + | 0.793190i | −0.183171 | + | 0.0733304i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0.542063 | + | 0.380304i | 0.0496908 | + | 0.0348624i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −7.79489 | − | 7.43241i | −0.708626 | − | 0.675674i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −2.66247 | − | 3.73892i | −0.240067 | − | 0.337127i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 26.3145 | − | 16.9113i | 2.35364 | − | 1.51259i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 0.545744 | + | 3.79573i | 0.0484269 | + | 0.336817i | 0.999603 | + | 0.0281684i | \(0.00896748\pi\) |
−0.951176 | + | 0.308648i | \(0.900123\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 1.21329 | + | 3.50556i | 0.106824 | + | 0.308648i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −0.378356 | + | 7.94266i | −0.0330571 | + | 0.693954i | 0.920137 | + | 0.391596i | \(0.128077\pi\) |
−0.953194 | + | 0.302358i | \(0.902226\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 21.9157 | + | 2.99439i | 1.90033 | + | 0.259647i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −13.1675 | + | 18.4911i | −1.13327 | + | 1.59146i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 6.88720 | − | 11.9290i | 0.588413 | − | 1.01916i | −0.406027 | − | 0.913861i | \(-0.633086\pi\) |
0.994440 | − | 0.105300i | \(-0.0335804\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 10.2810 | 0.872019 | 0.436010 | − | 0.899942i | \(-0.356391\pi\) | ||||
0.436010 | + | 0.899942i | \(0.356391\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −1.17666 | − | 2.57652i | −0.0990926 | − | 0.216982i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 0.620854 | − | 0.119660i | 0.0519184 | − | 0.0100065i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 1.79410 | − | 37.6628i | 0.148992 | − | 3.12773i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 5.47667 | + | 6.14425i | 0.451708 | + | 0.506769i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −8.74741 | + | 6.87904i | −0.716616 | + | 0.563553i | −0.908510 | − | 0.417863i | \(-0.862779\pi\) |
0.191894 | + | 0.981416i | \(0.438537\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 0.843411 | + | 17.7054i | 0.0686358 | + | 1.44084i | 0.726220 | + | 0.687462i | \(0.241275\pi\) |
−0.657584 | + | 0.753381i | \(0.728422\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −0.168162 | + | 0.368222i | −0.0135951 | + | 0.0297690i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −37.2035 | + | 10.9239i | −2.98826 | + | 0.877432i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −13.9676 | + | 13.3181i | −1.11474 | + | 1.06290i | −0.117177 | + | 0.993111i | \(0.537384\pi\) |
−0.997562 | + | 0.0697897i | \(0.977767\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 7.71867 | − | 3.09009i | 0.612130 | − | 0.245060i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 12.0249 | + | 4.05002i | 0.947692 | + | 0.319187i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −5.35003 | + | 2.14183i | −0.419047 | + | 0.167761i | −0.571597 | − | 0.820535i | \(-0.693676\pi\) |
0.152550 | + | 0.988296i | \(0.451252\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 1.70497 | − | 1.62569i | 0.132732 | − | 0.126560i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 2.35897 | − | 0.692655i | 0.182542 | − | 0.0535993i | −0.189184 | − | 0.981942i | \(-0.560584\pi\) |
0.371726 | + | 0.928342i | \(0.378766\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −4.67715 | + | 10.2415i | −0.359781 | + | 0.787810i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0.643416 | + | 13.5070i | 0.0492032 | + | 1.03290i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −13.2545 | + | 10.4235i | −1.00772 | + | 0.792483i | −0.978323 | − | 0.207085i | \(-0.933602\pi\) |
−0.0294010 | + | 0.999568i | \(0.509360\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 28.4820 | − | 16.7113i | 2.15303 | − | 1.26326i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0.431247 | − | 9.05299i | 0.0324145 | − | 0.680464i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 3.87946 | − | 0.747704i | 0.289964 | − | 0.0558860i | −0.0421948 | − | 0.999109i | \(-0.513435\pi\) |
0.332159 | + | 0.943223i | \(0.392223\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −0.247994 | − | 0.543031i | −0.0184332 | − | 0.0403632i | 0.900191 | − | 0.435494i | \(-0.143426\pi\) |
−0.918625 | + | 0.395131i | \(0.870699\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 14.1749 | 1.04784 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −7.21669 | + | 12.4997i | −0.530581 | + | 0.918994i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.0695659 | − | 0.0976916i | 0.00508716 | − | 0.00714391i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −8.80024 | + | 11.3533i | −0.640123 | + | 0.825829i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −0.242617 | + | 5.09315i | −0.0175551 | + | 0.368528i | 0.972947 | + | 0.231029i | \(0.0742093\pi\) |
−0.990502 | + | 0.137499i | \(0.956094\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −0.672008 | − | 1.94164i | −0.0483722 | − | 0.139762i | 0.918227 | − | 0.396054i | \(-0.129621\pi\) |
−0.966600 | + | 0.256291i | \(0.917499\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −0.923172 | − | 6.42080i | −0.0661097 | − | 0.459803i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 9.78832 | − | 6.29057i | 0.697389 | − | 0.448185i | −0.143317 | − | 0.989677i | \(-0.545777\pi\) |
0.840706 | + | 0.541492i | \(0.182140\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −5.07380 | − | 7.12516i | −0.359672 | − | 0.505089i | 0.594603 | − | 0.804020i | \(-0.297309\pi\) |
−0.954275 | + | 0.298931i | \(0.903370\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 9.92412 | + | 9.46263i | 0.699994 | + | 0.667443i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 2.10150 | − | 23.7670i | 0.147496 | − | 1.66812i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −15.1523 | + | 6.06607i | −1.05828 | + | 0.423673i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −1.09379 | + | 7.67944i | −0.0760239 | + | 0.533758i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 0.570140 | − | 3.96541i | 0.0394374 | − | 0.274293i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −4.03576 | − | 1.18501i | −0.277833 | − | 0.0815791i | 0.139848 | − | 0.990173i | \(-0.455339\pi\) |
−0.417681 | + | 0.908594i | \(0.637157\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −2.46926 | + | 10.1784i | −0.169191 | + | 0.697414i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 13.1310 | − | 1.25386i | 0.895530 | − | 0.0855127i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −23.8032 | + | 5.95155i | −1.61587 | + | 0.404017i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −1.74202 | + | 1.36994i | −0.117715 | + | 0.0925719i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −0.108008 | − | 0.312070i | −0.00726544 | − | 0.0209921i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −20.9312 | − | 13.4517i | −1.40166 | − | 0.900792i | −0.401771 | − | 0.915740i | \(-0.631605\pi\) |
−0.999888 | + | 0.0149486i | \(0.995242\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 13.2202 | + | 15.2569i | 0.881345 | + | 1.01713i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 4.93758 | + | 0.471482i | 0.327719 | + | 0.0312934i | 0.257619 | − | 0.966247i | \(-0.417062\pi\) |
0.0701000 | + | 0.997540i | \(0.477668\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −9.49777 | − | 16.4506i | −0.627630 | − | 1.08709i | −0.988026 | − | 0.154288i | \(-0.950692\pi\) |
0.360396 | − | 0.932800i | \(-0.382642\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 1.11975 | − | 0.984094i | 0.0736742 | − | 0.0647486i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −5.63018 | + | 7.90648i | −0.368845 | + | 0.517971i | −0.956731 | − | 0.290973i | \(-0.906021\pi\) |
0.587886 | + | 0.808944i | \(0.299960\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −9.88993 | + | 1.90613i | −0.645148 | + | 0.124342i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −0.925981 | − | 0.595092i | −0.0601489 | − | 0.0386554i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 11.7079 | − | 13.5117i | 0.757324 | − | 0.873998i | −0.237933 | − | 0.971282i | \(-0.576470\pi\) |
0.995257 | + | 0.0972836i | \(0.0310154\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −1.68921 | − | 0.676256i | −0.108811 | − | 0.0435615i | 0.316618 | − | 0.948553i | \(-0.397453\pi\) |
−0.425429 | + | 0.904992i | \(0.639877\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −12.8766 | − | 6.63832i | −0.826031 | − | 0.425849i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 25.8235 | − | 13.7744i | 1.64980 | − | 0.880017i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −7.98370 | − | 7.61245i | −0.507991 | − | 0.484368i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 1.82603 | − | 1.74111i | 0.115720 | − | 0.110339i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −1.67120 | + | 11.6234i | −0.105485 | + | 0.733664i | 0.866595 | + | 0.499013i | \(0.166304\pi\) |
−0.972080 | + | 0.234651i | \(0.924605\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.748773 | − | 2.17271i | 0.0470749 | − | 0.136597i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −0.967164 | − | 0.760586i | −0.0605662 | − | 0.0476298i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 4.39485 | + | 18.1158i | 0.274143 | + | 1.13003i | 0.927751 | + | 0.373200i | \(0.121739\pi\) |
−0.653608 | + | 0.756833i | \(0.726746\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −4.88388 | + | 7.71787i | −0.303470 | + | 0.479565i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 14.5202 | − | 1.38651i | 0.898778 | − | 0.0858229i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −1.28463 | − | 26.9678i | −0.0792139 | − | 1.66291i | −0.593161 | − | 0.805084i | \(-0.702120\pi\) |
0.513947 | − | 0.857822i | \(-0.328183\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −4.20743 | − | 29.2633i | −0.258461 | − | 1.79763i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 3.33823 | − | 3.85252i | 0.204296 | − | 0.235770i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 19.8756 | − | 10.2466i | 1.21184 | − | 0.624747i | 0.270667 | − | 0.962673i | \(-0.412756\pi\) |
0.941173 | + | 0.337926i | \(0.109726\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −6.58804 | + | 19.0349i | −0.400195 | + | 1.15629i | 0.547416 | + | 0.836861i | \(0.315612\pi\) |
−0.947611 | + | 0.319427i | \(0.896510\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −0.418816 | − | 4.08340i | −0.0253479 | − | 0.247138i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −2.99047 | − | 5.17964i | −0.180332 | − | 0.312344i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −0.781827 | + | 1.35416i | −0.0469755 | + | 0.0813639i | −0.888557 | − | 0.458766i | \(-0.848292\pi\) |
0.841582 | + | 0.540130i | \(0.181625\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −6.23108 | − | 13.6442i | −0.373045 | − | 0.816854i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 20.7365 | + | 23.9312i | 1.23704 | + | 1.42762i | 0.866784 | + | 0.498684i | \(0.166183\pi\) |
0.370252 | + | 0.928931i | \(0.379271\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −9.74486 | + | 5.02383i | −0.579272 | + | 0.298636i | −0.722852 | − | 0.691003i | \(-0.757169\pi\) |
0.143580 | + | 0.989639i | \(0.454139\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −40.3584 | − | 7.77844i | −2.39062 | − | 0.460755i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −9.73615 | + | 3.44631i | −0.574707 | + | 0.203429i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 15.0545 | + | 7.76115i | 0.885560 | + | 0.456538i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 11.6956 | + | 16.4241i | 0.685606 | + | 0.962799i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −20.1593 | + | 5.91930i | −1.17772 | + | 0.345809i | −0.811294 | − | 0.584638i | \(-0.801236\pi\) |
−0.366425 | + | 0.930448i | \(0.619418\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −30.9222 | − | 9.07958i | −1.80036 | − | 0.528634i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 2.04505 | + | 1.60824i | 0.118666 | + | 0.0933197i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −3.67740 | − | 5.14978i | −0.212669 | − | 0.297820i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 8.33458 | − | 0.455591i | 0.480397 | − | 0.0262598i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −2.65443 | − | 10.9417i | −0.152493 | − | 0.628586i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 11.8832 | − | 48.9831i | 0.680428 | − | 2.80476i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 4.66854 | − | 10.2227i | 0.266447 | − | 0.583439i | −0.728362 | − | 0.685192i | \(-0.759718\pi\) |
0.994810 | + | 0.101754i | \(0.0324454\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −10.5469 | + | 6.77806i | −0.599991 | + | 0.385591i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −16.2144 | − | 6.49126i | −0.919434 | − | 0.368086i | −0.136822 | − | 0.990596i | \(-0.543689\pi\) |
−0.782612 | + | 0.622510i | \(0.786113\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 16.5463 | + | 3.18904i | 0.935254 | + | 0.180255i | 0.634039 | − | 0.773301i | \(-0.281396\pi\) |
0.301215 | + | 0.953556i | \(0.402608\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 11.1585 | + | 13.9863i | 0.628710 | + | 0.788041i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −7.85371 | + | 22.6918i | −0.441108 | + | 1.27450i | 0.477257 | + | 0.878764i | \(0.341631\pi\) |
−0.918365 | + | 0.395735i | \(0.870490\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −4.30184 | − | 0.410776i | −0.240857 | − | 0.0229990i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 13.1933 | 0.736378 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −2.09238 | −0.116423 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −16.3943 | − | 1.56547i | −0.909392 | − | 0.0868364i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 2.17241 | − | 6.27677i | 0.120135 | − | 0.347106i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −6.30207 | + | 0.951227i | −0.347444 | + | 0.0524428i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −19.1180 | − | 3.68469i | −1.05082 | − | 0.202529i | −0.365530 | − | 0.930800i | \(-0.619112\pi\) |
−0.685290 | + | 0.728271i | \(0.740324\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −5.18355 | − | 2.07518i | −0.284057 | − | 0.113719i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 41.0190 | − | 26.3613i | 2.24111 | − | 1.44027i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 6.26208 | − | 13.7120i | 0.341117 | − | 0.746942i | −0.658869 | − | 0.752258i | \(-0.728965\pi\) |
0.999986 | + | 0.00531552i | \(0.00169199\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 1.63534 | − | 6.74094i | 0.0888192 | − | 0.366118i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 1.04768 | + | 4.31861i | 0.0567353 | + | 0.233866i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 16.6811 | − | 8.04607i | 0.900697 | − | 0.434447i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −21.9000 | − | 8.73391i | −1.17905 | − | 0.470218i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −11.8173 | − | 9.29325i | −0.634388 | − | 0.498888i | 0.248402 | − | 0.968657i | \(-0.420095\pi\) |
−0.882789 | + | 0.469769i | \(0.844337\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 10.9902 | + | 3.22703i | 0.588294 | + | 0.172739i | 0.562314 | − | 0.826924i | \(-0.309911\pi\) |
0.0259800 | + | 0.999662i | \(0.491729\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 6.87365 | − | 2.01829i | 0.366888 | − | 0.107728i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 14.7222 | + | 20.6744i | 0.783584 | + | 1.10039i | 0.992475 | + | 0.122450i | \(0.0390752\pi\) |
−0.208891 | + | 0.977939i | \(0.566985\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 33.1028 | + | 17.0657i | 1.75691 | + | 0.905752i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −0.591979 | − | 0.505733i | −0.0313309 | − | 0.0267662i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −4.02630 | − | 0.776005i | −0.212500 | − | 0.0409560i | 0.0818902 | − | 0.996641i | \(-0.473904\pi\) |
−0.294390 | + | 0.955685i | \(0.595116\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −45.2374 | + | 23.3215i | −2.38091 | + | 1.22745i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 8.29321 | + | 9.57088i | 0.435281 | + | 0.502341i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 3.27362 | + | 7.16822i | 0.171349 | + | 0.375202i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −3.66823 | + | 6.35356i | −0.191480 | + | 0.331653i | −0.945741 | − | 0.324922i | \(-0.894662\pi\) |
0.754261 | + | 0.656575i | \(0.227995\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −3.15695 | − | 5.46800i | −0.164344 | − | 0.284653i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −1.90879 | − | 18.6104i | −0.0990994 | − | 0.966205i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 6.03630 | − | 17.4407i | 0.312548 | − | 0.903047i | −0.673879 | − | 0.738842i | \(-0.735373\pi\) |
0.986426 | − | 0.164205i | \(-0.0525058\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −32.6913 | + | 16.8535i | −1.68817 | + | 0.870313i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −7.79235 | + | 8.99285i | −0.401326 | + | 0.463155i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 3.13327 | + | 21.7923i | 0.160945 | + | 1.11940i | 0.896857 | + | 0.442320i | \(0.145845\pi\) |
−0.735912 | + | 0.677077i | \(0.763246\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −0.214547 | − | 4.50391i | −0.0109916 | − | 0.230742i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −28.7563 | + | 2.74589i | −1.46938 | + | 0.140309i | −0.798830 | − | 0.601557i | \(-0.794547\pi\) |
−0.670548 | + | 0.741866i | \(0.733941\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −2.46194 | − | 4.69443i | −0.125472 | − | 0.239250i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 1.20303 | + | 4.95897i | 0.0611536 | + | 0.252079i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 6.48989 | + | 5.10371i | 0.329051 | + | 0.258768i | 0.768992 | − | 0.639258i | \(-0.220758\pi\) |
−0.439942 | + | 0.898026i | \(0.645001\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −1.17889 | − | 0.225598i | −0.0596188 | − | 0.0114090i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 1.33061 | − | 9.25461i | 0.0671205 | − | 0.466833i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −2.83269 | + | 2.70096i | −0.142528 | + | 0.135900i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 14.2979 | + | 13.6330i | 0.717592 | + | 0.684223i | 0.958103 | − | 0.286424i | \(-0.0924665\pi\) |
−0.240511 | + | 0.970646i | \(0.577315\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −25.3177 | − | 5.95445i | −1.26747 | − | 0.298095i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 14.9959 | + | 7.73093i | 0.748860 | + | 0.386064i | 0.790014 | − | 0.613088i | \(-0.210073\pi\) |
−0.0411538 | + | 0.999153i | \(0.513103\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 11.3600 | + | 4.54784i | 0.565880 | + | 0.226544i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 4.19357 | − | 4.83964i | 0.208380 | − | 0.240483i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 1.39160 | + | 0.894328i | 0.0689791 | + | 0.0443302i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −9.66306 | + | 1.86240i | −0.477808 | + | 0.0920899i | −0.422468 | − | 0.906378i | \(-0.638836\pi\) |
−0.0553394 | + | 0.998468i | \(0.517624\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −9.39477 | + | 13.1931i | −0.463410 | + | 0.650768i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −19.3181 | − | 6.53481i | −0.950580 | − | 0.321557i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −4.48583 | − | 7.76968i | −0.220201 | − | 0.381399i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −12.0339 | − | 1.14910i | −0.589301 | − | 0.0562714i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 5.99929 | + | 6.92355i | 0.293085 | + | 0.338238i | 0.883126 | − | 0.469135i | \(-0.155434\pi\) |
−0.590042 | + | 0.807373i | \(0.700889\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −1.08324 | − | 0.696159i | −0.0527941 | − | 0.0339287i | 0.513978 | − | 0.857804i | \(-0.328171\pi\) |
−0.566772 | + | 0.823875i | \(0.691808\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −1.27435 | − | 3.68200i | −0.0619612 | − | 0.179025i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −2.45545 | + | 1.93099i | −0.119107 | + | 0.0936667i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 8.77122 | − | 30.6655i | 0.424469 | − | 1.48401i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −0.740085 | + | 0.0706696i | −0.0357316 | + | 0.00341196i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 1.44525 | − | 5.95740i | 0.0696153 | − | 0.286958i | −0.926354 | − | 0.376654i | \(-0.877074\pi\) |
0.995969 | + | 0.0896962i | \(0.0285896\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 5.52525 | + | 1.62236i | 0.265527 | + | 0.0779657i | 0.411786 | − | 0.911281i | \(-0.364905\pi\) |
−0.146259 | + | 0.989246i | \(0.546723\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −6.30954 | + | 43.8838i | −0.302519 | + | 2.10407i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −38.4557 | + | 11.3468i | −1.83958 | + | 0.542789i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −6.70976 | + | 2.68618i | −0.320239 | + | 0.128205i | −0.526212 | − | 0.850353i | \(-0.676388\pi\) |
0.205973 | + | 0.978558i | \(0.433964\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 6.69605 | + | 9.12970i | 0.318859 | + | 0.434748i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −8.25707 | − | 7.87310i | −0.392305 | − | 0.374062i | 0.468098 | − | 0.883677i | \(-0.344940\pi\) |
−0.860403 | + | 0.509614i | \(0.829788\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −10.5143 | − | 14.7653i | −0.498428 | − | 0.699944i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 11.0077 | − | 7.07424i | 0.520648 | − | 0.334600i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −1.94753 | − | 13.5453i | −0.0919094 | − | 0.639244i | −0.982752 | − | 0.184931i | \(-0.940794\pi\) |
0.890842 | − | 0.454313i | \(-0.150115\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.611811 | + | 1.76771i | 0.0288090 | + | 0.0832382i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 0.991705 | − | 20.8184i | 0.0465944 | − | 0.978136i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −14.4618 | − | 1.97594i | −0.677979 | − | 0.0926337i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 16.5176 | − | 23.1957i | 0.772659 | − | 1.08505i | −0.221291 | − | 0.975208i | \(-0.571027\pi\) |
0.993949 | − | 0.109839i | \(-0.0350336\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 0.679409 | − | 1.17677i | 0.0317121 | − | 0.0549270i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −21.6390 | −1.00783 | −0.503914 | − | 0.863754i | \(-0.668107\pi\) | ||||
−0.503914 | + | 0.863754i | \(0.668107\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −5.02073 | − | 10.9939i | −0.233333 | − | 0.510929i | 0.756356 | − | 0.654160i | \(-0.226978\pi\) |
−0.989689 | + | 0.143232i | \(0.954251\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 44.7677 | − | 8.62827i | 2.07605 | − | 0.400126i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 0.630759 | − | 13.2413i | 0.0291880 | − | 0.612732i | −0.936130 | − | 0.351655i | \(-0.885619\pi\) |
0.965318 | − | 0.261077i | \(-0.0840778\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 26.6120 | − | 15.6142i | 1.22883 | − | 0.720995i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 17.8377 | − | 14.0277i | 0.821917 | − | 0.646363i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −0.0719337 | − | 1.51007i | −0.00330751 | − | 0.0694333i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −43.3478 | + | 94.9185i | −1.98893 | + | 4.35516i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 10.9736 | − | 3.22213i | 0.502445 | − | 0.147531i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −7.28389 | + | 6.94518i | −0.332809 | + | 0.317333i | −0.837995 | − | 0.545677i | \(-0.816272\pi\) |
0.505186 | + | 0.863011i | \(0.331424\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 4.22866 | − | 1.69290i | 0.192810 | − | 0.0771895i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −13.6225 | − | 6.08457i | −0.619843 | − | 0.276857i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 66.5603 | − | 26.6467i | 3.02235 | − | 1.20997i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 22.4967 | − | 21.4505i | 1.01942 | − | 0.972016i | 0.0198074 | − | 0.999804i | \(-0.493695\pi\) |
0.999614 | + | 0.0277877i | \(0.00884622\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 6.50161 | − | 1.90904i | 0.294013 | − | 0.0863300i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 1.54913 | − | 3.39213i | 0.0699114 | − | 0.153085i | −0.871450 | − | 0.490484i | \(-0.836820\pi\) |
0.941362 | + | 0.337399i | \(0.109547\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0.107393 | + | 2.25446i | 0.00483675 | + | 0.101536i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 2.54726 | − | 2.00319i | 0.114491 | − | 0.0900366i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 20.4917 | + | 11.6402i | 0.919179 | + | 0.522134i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 0.253306 | − | 5.31754i | 0.0113395 | − | 0.238046i | −0.986081 | − | 0.166266i | \(-0.946829\pi\) |
0.997420 | − | 0.0717800i | \(-0.0228680\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −2.83859 | + | 0.547094i | −0.126819 | + | 0.0244423i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 8.82443 | + | 19.3228i | 0.393462 | + | 0.861562i | 0.997892 | + | 0.0649032i | \(0.0206739\pi\) |
−0.604429 | + | 0.796659i | \(0.706599\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −40.0358 | −1.78157 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 6.61930 | − | 11.4650i | 0.293973 | − | 0.509177i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −9.32465 | + | 13.0946i | −0.413308 | + | 0.580410i | −0.967781 | − | 0.251792i | \(-0.918980\pi\) |
0.554474 | + | 0.832201i | \(0.312920\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 1.88574 | + | 4.61632i | 0.0834203 | + | 0.204214i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 2.15978 | − | 45.3393i | 0.0953565 | − | 2.00178i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 14.5807 | + | 42.1283i | 0.642504 | + | 1.85639i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0.164279 | + | 1.14259i | 0.00722500 | + | 0.0502510i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 16.6795 | − | 10.7193i | 0.732148 | − | 0.470523i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 13.4768 | + | 18.9255i | 0.590429 | + | 0.829142i | 0.996403 | − | 0.0847429i | \(-0.0270069\pi\) |
−0.405974 | + | 0.913885i | \(0.633067\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −22.5126 | − | 21.4657i | −0.984408 | − | 0.938631i | 0.0137134 | − | 0.999906i | \(-0.495635\pi\) |
−0.998121 | + | 0.0612753i | \(0.980483\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −35.2060 | + | 16.3772i | −1.53652 | + | 0.714759i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 2.15473 | − | 0.862623i | 0.0938614 | − | 0.0375765i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −22.8900 | + | 2.24672i | −0.995218 | + | 0.0976833i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 1.77426 | − | 12.3403i | 0.0769964 | − | 0.535522i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 4.94214 | + | 1.45114i | 0.214068 | + | 0.0628560i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 11.0603 | − | 45.5911i | 0.478178 | − | 1.97108i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −4.62448 | + | 0.441585i | −0.199561 | + | 0.0190558i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −1.43607 | − | 3.03137i | −0.0618559 | − | 0.130571i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −12.3398 | + | 9.70415i | −0.530531 | + | 0.417214i | −0.847162 | − | 0.531335i | \(-0.821691\pi\) |
0.316631 | + | 0.948549i | \(0.397448\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 0.229583 | + | 0.663337i | 0.00985235 | + | 0.0284665i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −19.8690 | − | 12.7690i | −0.851093 | − | 0.546964i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 4.06678 | + | 4.69332i | 0.173883 | + | 0.200672i | 0.836001 | − | 0.548728i | \(-0.184888\pi\) |
−0.662118 | + | 0.749400i | \(0.730342\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 19.4103 | + | 1.85346i | 0.828411 | + | 0.0791037i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 37.6973 | + | 65.2937i | 1.60596 | + | 2.78161i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −1.86039 | + | 1.63500i | −0.0791117 | + | 0.0695273i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 9.84422 | − | 13.8243i | 0.417864 | − | 0.586808i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 23.0990 | − | 4.45197i | 0.978738 | − | 0.188636i | 0.325295 | − | 0.945612i | \(-0.394536\pi\) |
0.653442 | + | 0.756976i | \(0.273324\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −3.50196 | − | 2.25058i | −0.148117 | − | 0.0951892i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −0.0923459 | + | 0.106573i | −0.00389885 | + | 0.00449951i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 14.6486 | + | 5.86442i | 0.617366 | + | 0.247156i | 0.659199 | − | 0.751969i | \(-0.270896\pi\) |
−0.0418332 | + | 0.999125i | \(0.513320\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −21.9232 | − | 11.3022i | −0.922317 | − | 0.475488i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 2.77575 | − | 2.95228i | 0.116571 | − | 0.123984i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 12.4574 | + | 11.8781i | 0.522242 | + | 0.497957i | 0.904719 | − | 0.426008i | \(-0.140080\pi\) |
−0.382477 | + | 0.923965i | \(0.624929\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 25.3780 | − | 24.1979i | 1.06204 | − | 1.01265i | 0.0621419 | − | 0.998067i | \(-0.480207\pi\) |
0.999894 | − | 0.0145815i | \(-0.00464161\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0.853242 | − | 5.93443i | 0.0356447 | − | 0.247914i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −34.6569 | + | 48.8051i | −1.44529 | + | 2.03531i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 18.2381 | + | 14.3426i | 0.759262 | + | 0.597090i | 0.920918 | − | 0.389757i | \(-0.127441\pi\) |
−0.161656 | + | 0.986847i | \(0.551683\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 0.569571 | + | 2.34780i | 0.0236706 | + | 0.0975714i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −2.63674 | − | 5.02774i | −0.109391 | − | 0.208586i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −3.37300 | + | 0.322082i | −0.139695 | + | 0.0133393i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −0.424578 | − | 8.91300i | −0.0175542 | − | 0.368507i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 3.76917 | + | 26.2152i | 0.155570 | + | 1.08202i | 0.906674 | + | 0.421832i | \(0.138613\pi\) |
−0.751104 | + | 0.660184i | \(0.770478\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 50.7723 | − | 58.5944i | 2.09204 | − | 2.41434i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −12.1603 | + | 6.26909i | −0.500210 | + | 0.257876i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 3.60315 | − | 10.4106i | 0.147963 | − | 0.427512i | −0.846526 | − | 0.532347i | \(-0.821310\pi\) |
0.994490 | + | 0.104835i | \(0.0334313\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −2.24389 | + | 1.62169i | −0.0919907 | + | 0.0664828i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 5.14252 | + | 8.90710i | 0.210469 | + | 0.364543i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −7.35854 | + | 12.7454i | −0.300662 | + | 0.520762i | −0.976286 | − | 0.216484i | \(-0.930541\pi\) |
0.675624 | + | 0.737246i | \(0.263874\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 9.36587 | + | 20.5084i | 0.382042 | + | 0.836555i | 0.998780 | + | 0.0493866i | \(0.0157266\pi\) |
−0.616738 | + | 0.787169i | \(0.711546\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 12.3522 | + | 14.2552i | 0.503022 | + | 0.580518i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 40.0258 | − | 20.6347i | 1.62728 | − | 0.838921i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 24.5486 | + | 4.73135i | 0.996397 | + | 0.192040i | 0.661282 | − | 0.750138i | \(-0.270013\pi\) |
0.335115 | + | 0.942177i | \(0.391225\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −5.11623 | + | 27.5845i | −0.207320 | + | 1.11778i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 2.82520 | + | 1.45649i | 0.114295 | + | 0.0589233i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 23.7576 | + | 33.3629i | 0.959562 | + | 1.34752i | 0.937584 | + | 0.347758i | \(0.113057\pi\) |
0.0219775 | + | 0.999758i | \(0.493004\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 18.4138 | − | 5.40678i | 0.742516 | − | 0.218023i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −11.8520 | − | 3.48005i | −0.477143 | − | 0.140102i | 0.0343134 | − | 0.999411i | \(-0.489076\pi\) |
−0.511456 | + | 0.859309i | \(0.670894\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 27.0312 | + | 21.2576i | 1.08648 | + | 0.854414i | 0.990020 | − | 0.140924i | \(-0.0450072\pi\) |
0.0964550 | + | 0.995337i | \(0.469250\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 6.10529 | − | 25.3121i | 0.244997 | − | 1.01574i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −6.26876 | − | 9.60569i | −0.251153 | − | 0.384844i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 16.1206 | + | 66.4500i | 0.644824 | + | 2.65800i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −1.11056 | + | 4.57779i | −0.0443515 | + | 0.182819i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 0.358906 | − | 0.785894i | 0.0143105 | − | 0.0313356i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −10.1279 | + | 6.50882i | −0.403186 | + | 0.259112i | −0.726481 | − | 0.687186i | \(-0.758846\pi\) |
0.323295 | + | 0.946298i | \(0.395209\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 4.59141 | + | 1.83812i | 0.182492 | + | 0.0730589i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −15.7437 | − | 3.03434i | −0.624769 | − | 0.120414i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −9.09304 | − | 1.62070i | −0.360279 | − | 0.0642143i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −4.71216 | + | 13.6149i | −0.186410 | + | 0.538597i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −33.7790 | − | 3.22550i | −1.33419 | − | 0.127400i | −0.596540 | − | 0.802583i | \(-0.703458\pi\) |
−0.737650 | + | 0.675183i | \(0.764065\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −23.3294 | −0.920021 | −0.460011 | − | 0.887913i | \(-0.652154\pi\) | ||||
−0.460011 | + | 0.887913i | \(0.652154\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −15.5101 | −0.610708 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −27.5736 | − | 2.63296i | −1.08403 | − | 0.103512i | −0.462284 | − | 0.886732i | \(-0.652970\pi\) |
−0.621745 | + | 0.783220i | \(0.713576\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −1.20806 | + | 3.49045i | −0.0474203 | + | 0.137012i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 28.5269 | − | 4.30582i | 1.11806 | − | 0.168758i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −32.3304 | − | 6.23118i | −1.26519 | − | 0.243845i | −0.487849 | − | 0.872928i | \(-0.662218\pi\) |
−0.777338 | + | 0.629083i | \(0.783430\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −30.8650 | − | 12.3565i | −1.20599 | − | 0.482807i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −2.56455 | + | 1.64814i | −0.100053 | + | 0.0643000i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 3.49641 | − | 7.65608i | 0.136201 | − | 0.298238i | −0.829225 | − | 0.558914i | \(-0.811218\pi\) |
0.965426 | + | 0.260676i | \(0.0839454\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −6.71837 | + | 27.6935i | −0.261314 | + | 1.07715i | 0.678264 | + | 0.734818i | \(0.262733\pi\) |
−0.939578 | + | 0.342334i | \(0.888783\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 0.0915442 | + | 0.377350i | 0.00355528 | + | 0.0146551i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −41.8008 | + | 82.4968i | −1.62097 | + | 3.19909i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 14.1995 | + | 40.8521i | 0.549805 | + | 1.58180i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 22.9966 | + | 18.0847i | 0.889098 | + | 0.699195i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −5.54276 | − | 1.62750i | −0.213976 | − | 0.0628290i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 24.2961 | − | 7.13399i | 0.936548 | − | 0.274995i | 0.222372 | − | 0.974962i | \(-0.428620\pi\) |
0.714175 | + | 0.699967i | \(0.246802\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −39.3075 | − | 55.1997i | −1.51295 | − | 2.12464i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 9.65245 | + | 4.97618i | 0.370974 | + | 0.191250i | 0.633624 | − | 0.773641i | \(-0.281566\pi\) |
−0.262651 | + | 0.964891i | \(0.584597\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 42.7684 | − | 15.1388i | 1.64130 | − | 0.580973i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −5.72675 | − | 1.10374i | −0.219450 | − | 0.0422955i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −16.0138 | + | 8.25570i | −0.612752 | + | 0.315896i | −0.736520 | − | 0.676415i | \(-0.763532\pi\) |
0.123768 | + | 0.992311i | \(0.460502\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 37.7146 | + | 43.5249i | 1.44100 | + | 1.66300i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 9.27848 | + | 20.3170i | 0.353996 | + | 0.775143i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −4.66500 | + | 8.08001i | −0.177722 | + | 0.307824i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −0.678474 | − | 1.17515i | −0.0258104 | − | 0.0447049i | 0.852832 | − | 0.522186i | \(-0.174883\pi\) |
−0.878642 | + | 0.477481i | \(0.841550\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 1.66200 | − | 1.20115i | 0.0631342 | − | 0.0456278i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −14.0591 | + | 40.6212i | −0.533294 | + | 1.54085i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0.868382 | − | 0.447682i | 0.0328923 | − | 0.0169572i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 7.47384 | − | 8.62527i | 0.282687 | − | 0.326238i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −2.72100 | − | 18.9250i | −0.102771 | − | 0.714787i | −0.974433 | − | 0.224679i | \(-0.927867\pi\) |
0.871662 | − | 0.490108i | \(-0.163043\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −1.37324 | − | 28.8278i | −0.0517926 | − | 1.08726i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 11.7892 | − | 1.12573i | 0.444008 | − | 0.0423976i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −25.3135 | − | 1.02808i | −0.952011 | − | 0.0386648i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −4.21740 | − | 17.3843i | −0.158388 | − | 0.652883i | −0.994537 | − | 0.104381i | \(-0.966714\pi\) |
0.836150 | − | 0.548501i | \(-0.184801\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −1.19017 | − | 0.935964i | −0.0446350 | − | 0.0351014i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 34.9236 | − | 27.5389i | 1.30790 | − | 1.03134i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.376225 | + | 2.61670i | −0.0140700 | + | 0.0978591i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −15.2144 | + | 14.5069i | −0.568190 | + | 0.541768i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 17.9180 | + | 17.0848i | 0.668230 | + | 0.637156i | 0.946256 | − | 0.323418i | \(-0.104832\pi\) |
−0.278027 | + | 0.960573i | \(0.589680\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 8.13717 | + | 27.0109i | 0.303044 | + | 1.00594i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 1.90163 | + | 0.980360i | 0.0707225 | + | 0.0364600i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 104.496 | + | 41.8338i | 3.88088 | + | 1.55367i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 17.0729 | − | 19.7032i | 0.633200 | − | 0.730752i | −0.344957 | − | 0.938619i | \(-0.612106\pi\) |
0.978157 | + | 0.207866i | \(0.0666519\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 18.1955 | + | 11.6935i | 0.673906 | + | 0.433093i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −0.775319 | + | 0.149431i | −0.0286762 | + | 0.00552689i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 21.1035 | − | 29.6358i | 0.779477 | − | 1.09462i | −0.213572 | − | 0.976927i | \(-0.568510\pi\) |
0.993050 | − | 0.117695i | \(-0.0375507\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −31.7660 | + | 13.2367i | −1.17170 | + | 0.488245i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −2.79414 | − | 4.83959i | −0.102923 | − | 0.178269i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −6.60011 | − | 0.630234i | −0.242789 | − | 0.0231835i | −0.0270479 | − | 0.999634i | \(-0.508611\pi\) |
−0.215741 | + | 0.976451i | \(0.569217\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 8.49410 | + | 9.80271i | 0.312039 | + | 0.360112i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 6.27045 | + | 4.02977i | 0.230041 | + | 0.147838i | 0.650584 | − | 0.759434i | \(-0.274524\pi\) |
−0.420543 | + | 0.907272i | \(0.638161\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −15.2178 | − | 43.9691i | −0.557539 | − | 1.61090i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 2.72812 | − | 2.14542i | 0.0998167 | − | 0.0784967i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 8.16383 | − | 28.5419i | 0.298300 | − | 1.04290i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 18.1930 | − | 1.73722i | 0.663871 | − | 0.0633920i | 0.242320 | − | 0.970196i | \(-0.422092\pi\) |
0.421552 | + | 0.906804i | \(0.361486\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 3.25528 | − | 13.4184i | 0.118629 | − | 0.488995i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −71.1094 | − | 20.8796i | −2.58794 | − | 0.759886i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 0.806408 | − | 5.60869i | 0.0293094 | − | 0.203851i | −0.969905 | − | 0.243484i | \(-0.921710\pi\) |
0.999214 | + | 0.0396327i | \(0.0126188\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −1.11928 | + | 2.45947i | −0.0406274 | + | 0.0892731i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 31.0916 | − | 12.4472i | 1.12707 | − | 0.451210i | 0.268178 | − | 0.963369i | \(-0.413578\pi\) |
0.858891 | + | 0.512159i | \(0.171154\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −12.2347 | − | 8.58370i | −0.442926 | − | 0.310751i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −1.22493 | − | 1.16797i | −0.0442874 | − | 0.0422280i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 5.89948 | + | 8.28466i | 0.213018 | + | 0.299142i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −35.2920 | + | 22.6808i | −1.27266 | + | 0.817889i | −0.989964 | − | 0.141320i | \(-0.954865\pi\) |
−0.282697 | + | 0.959209i | \(0.591229\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −3.11938 | − | 21.6958i | −0.112342 | − | 0.781355i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −11.0221 | − | 31.8463i | −0.396438 | − | 1.14543i | −0.949899 | − | 0.312557i | \(-0.898814\pi\) |
0.553461 | − | 0.832875i | \(-0.313307\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 5.50755 | − | 115.618i | 0.197837 | − | 4.15311i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 6.57921 | − | 8.48791i | 0.236028 | − | 0.304502i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 18.9306 | − | 26.5844i | 0.678261 | − | 0.952484i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 2.13419 | − | 3.69653i | 0.0763674 | − | 0.132272i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −48.9622 | −1.74977 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −33.5207 | − | 73.4002i | −1.19641 | − | 2.61976i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 3.95174 | − | 0.761634i | 0.140864 | − | 0.0271493i | −0.118332 | − | 0.992974i | \(-0.537755\pi\) |
0.259196 | + | 0.965825i | \(0.416542\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −1.51051 | + | 31.7094i | −0.0537754 | + | 1.12889i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −13.5712 | − | 7.70903i | −0.482537 | − | 0.274102i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −12.5035 | + | 9.83284i | −0.444011 | + | 0.349174i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 1.65406 | + | 34.7230i | 0.0586636 | + | 1.23150i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 3.43410 | − | 7.51962i | 0.121642 | − | 0.266359i | −0.839009 | − | 0.544118i | \(-0.816864\pi\) |
0.960651 | + | 0.277759i | \(0.0895917\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0.578476 | − | 0.169856i | 0.0204650 | − | 0.00600907i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 5.07492 | − | 4.83893i | 0.179314 | − | 0.170975i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 0.838467 | − | 0.335671i | 0.0295888 | − | 0.0118456i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −32.4460 | + | 41.9732i | −1.14357 | + | 1.47936i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −24.4097 | + | 9.77218i | −0.859263 | + | 0.343997i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 25.6625 | − | 24.4691i | 0.902245 | − | 0.860289i | −0.0884929 | − | 0.996077i | \(-0.528205\pi\) |
0.990738 | + | 0.135788i | \(0.0433566\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 36.5455 | − | 10.7307i | 1.28329 | − | 0.376807i | 0.432174 | − | 0.901790i | \(-0.357747\pi\) |
0.851112 | + | 0.524984i | \(0.175929\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 9.83883 | − | 21.5440i | 0.345063 | − | 0.755583i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −1.14648 | − | 24.0675i | −0.0401594 | − | 0.843049i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −20.7328 | + | 16.3045i | −0.725349 | + | 0.570421i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −0.0395727 | − | 5.64634i | −0.00138278 | − | 0.197299i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −1.44989 | + | 30.4369i | −0.0506014 | + | 1.06225i | 0.820654 | + | 0.571425i | \(0.193609\pi\) |
−0.871256 | + | 0.490829i | \(0.836694\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −9.66983 | + | 1.86371i | −0.337069 | + | 0.0649648i | −0.354977 | − | 0.934875i | \(-0.615511\pi\) |
0.0179082 | + | 0.999840i | \(0.494299\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 2.92142 | + | 6.39702i | 0.101711 | + | 0.222716i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −20.3258 | −0.706798 | −0.353399 | − | 0.935473i | \(-0.614974\pi\) | ||||
−0.353399 | + | 0.935473i | \(0.614974\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −6.17562 | + | 10.6965i | −0.214488 | + | 0.371504i | −0.953114 | − | 0.302611i | \(-0.902142\pi\) |
0.738626 | + | 0.674115i | \(0.235475\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 1.06648 | − | 1.49767i | 0.0369959 | − | 0.0519535i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −1.46039 | + | 0.967728i | −0.0505996 | + | 0.0335298i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −0.489113 | + | 10.2678i | −0.0169265 | + | 0.355330i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 16.4678 | + | 47.5806i | 0.569211 | + | 1.64463i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −4.75231 | − | 33.0531i | −0.164068 | − | 1.14112i | −0.890866 | − | 0.454267i | \(-0.849901\pi\) |
0.726797 | − | 0.686852i | \(-0.241008\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 44.0203 | − | 28.2901i | 1.51794 | − | 0.975521i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −21.5973 | − | 30.3292i | −0.743851 | − | 1.04459i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −34.0695 | − | 32.4852i | −1.17203 | − | 1.11752i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 25.8370 | − | 12.0189i | 0.887771 | − | 0.412975i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 11.9679 | − | 4.79122i | 0.410737 | − | 0.164434i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 2.33447 | − | 16.3902i | 0.0800248 | − | 0.561847i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −4.45465 | + | 30.9827i | −0.152524 | + | 1.06083i | 0.759445 | + | 0.650571i | \(0.225470\pi\) |
−0.911970 | + | 0.410258i | \(0.865439\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −54.2474 | − | 15.9285i | −1.85522 | − | 0.544743i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −9.61030 | + | 39.6142i | −0.328282 | + | 1.35320i | 0.533450 | + | 0.845831i | \(0.320895\pi\) |
−0.861732 | + | 0.507364i | \(0.830620\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −9.67270 | + | 0.923631i | −0.330028 | + | 0.0315139i | −0.258755 | − | 0.965943i | \(-0.583312\pi\) |
−0.0712732 | + | 0.997457i | \(0.522706\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 11.7814 | − | 2.94571i | 0.401508 | − | 0.100389i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 20.6874 | − | 16.2688i | 0.704207 | − | 0.553795i | −0.200570 | − | 0.979679i | \(-0.564279\pi\) |
0.904777 | + | 0.425885i | \(0.140037\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −23.0589 | − | 66.6243i | −0.784026 | − | 2.26529i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −16.7539 | − | 10.7671i | −0.568992 | − | 0.365669i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 0.293757 | + | 0.339014i | 0.00996504 | + | 0.0115003i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −15.3180 | − | 1.46269i | −0.519030 | − | 0.0495613i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 13.8677 | + | 24.0195i | 0.469350 | + | 0.812938i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 16.2314 | + | 81.1520i | 0.548723 | + | 2.74344i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −12.1654 | + | 17.0839i | −0.410797 | + | 0.576883i | −0.967196 | − | 0.254032i | \(-0.918243\pi\) |
0.556399 | + | 0.830915i | \(0.312183\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 24.2581 | − | 4.67536i | 0.818205 | − | 0.157696i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −31.1124 | − | 19.9947i | −1.04820 | − | 0.673638i | −0.101200 | − | 0.994866i | \(-0.532268\pi\) |
−0.947002 | + | 0.321228i | \(0.895905\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −12.2654 | + | 14.1550i | −0.412762 | + | 0.476353i | −0.923618 | − | 0.383313i | \(-0.874783\pi\) |
0.510856 | + | 0.859666i | \(0.329328\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 35.1797 | + | 14.0838i | 1.18255 | + | 0.473422i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 25.2726 | + | 13.0289i | 0.848570 | + | 0.437468i | 0.826935 | − | 0.562298i | \(-0.190082\pi\) |
0.0216353 | + | 0.999766i | \(0.493113\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −9.87636 | − | 2.32281i | −0.331242 | − | 0.0779045i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −0.531170 | − | 0.506470i | −0.0177949 | − | 0.0169674i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 14.5756 | − | 13.8979i | 0.487755 | − | 0.465074i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −2.35087 | + | 16.3507i | −0.0785810 | + | 0.546543i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 3.72881 | + | 6.43885i | 0.124501 | + | 0.214987i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −65.7391 | − | 51.6978i | −2.19252 | − | 1.72422i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 0.417220 | + | 1.71981i | 0.0138996 | + | 0.0572950i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −9.80656 | − | 0.398281i | −0.326342 | − | 0.0132540i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 2.48471 | − | 0.237261i | 0.0825945 | − | 0.00788682i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −1.08184 | − | 22.7107i | −0.0359220 | − | 0.754096i | −0.942932 | − | 0.332986i | \(-0.891944\pi\) |
0.907010 | − | 0.421110i | \(-0.138359\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −2.20413 | − | 15.3301i | −0.0731064 | − | 0.508466i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −11.1348 | + | 12.8503i | −0.368914 | + | 0.425749i | −0.909606 | − | 0.415471i | \(-0.863617\pi\) |
0.540693 | + | 0.841220i | \(0.318162\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −0.913932 | + | 0.471165i | −0.0302467 | + | 0.0155933i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −19.3841 | + | 56.0066i | −0.640818 | + | 1.85152i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −19.1977 | − | 8.60522i | −0.633965 | − | 0.284170i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −10.2718 | − | 17.7913i | −0.338836 | − | 0.586880i | 0.645378 | − | 0.763863i | \(-0.276700\pi\) |
−0.984214 | + | 0.176983i | \(0.943366\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −6.60711 | + | 11.4439i | −0.217712 | + | 0.377088i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −4.88247 | − | 10.6911i | −0.160709 | − | 0.351903i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −28.2157 | − | 32.5627i | −0.927727 | − | 1.07065i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −15.3286 | + | 7.90243i | −0.503456 | + | 0.259550i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −36.5212 | − | 7.03888i | −1.19822 | − | 0.230938i | −0.449167 | − | 0.893448i | \(-0.648279\pi\) |
−0.749054 | + | 0.662509i | \(0.769491\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −28.5479 | + | 51.0870i | −0.935620 | + | 1.67431i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 18.2534 | + | 9.41031i | 0.597591 | + | 0.308080i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 0.290860 | + | 0.408455i | 0.00951213 | + | 0.0133579i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −26.2554 | + | 7.70928i | −0.857726 | + | 0.251851i | −0.680887 | − | 0.732389i | \(-0.738405\pi\) |
−0.176839 | + | 0.984240i | \(0.556587\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −19.0111 | − | 5.58215i | −0.620403 | − | 0.182167i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 7.11474 | + | 5.59509i | 0.231934 | + | 0.182395i | 0.727362 | − | 0.686254i | \(-0.240746\pi\) |
−0.495428 | + | 0.868649i | \(0.664989\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 13.5322 | − | 12.9370i | 0.440668 | − | 0.421287i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −32.8238 | − | 50.2963i | −1.06776 | − | 1.63614i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −0.303753 | − | 1.25209i | −0.00987064 | − | 0.0406874i | 0.966663 | − | 0.256051i | \(-0.0824215\pi\) |
−0.976534 | + | 0.215364i | \(0.930906\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 0.586311 | − | 2.41681i | 0.0190325 | − | 0.0784529i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 11.7290 | − | 25.6830i | 0.380340 | − | 0.832828i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 6.66673 | − | 4.28444i | 0.215956 | − | 0.138787i | −0.428191 | − | 0.903688i | \(-0.640849\pi\) |
0.644147 | + | 0.764902i | \(0.277212\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −19.7919 | − | 7.92347i | −0.640450 | − | 0.256397i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 4.98939 | + | 0.961627i | 0.161284 | + | 0.0310850i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 22.7282 | + | 28.4880i | 0.733931 | + | 0.919927i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −17.9894 | + | 51.9770i | −0.580304 | + | 1.67668i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 18.0662 | + | 1.72511i | 0.582174 | + | 0.0555909i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 8.59062 | 0.276542 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 58.3749 | 1.87721 | 0.938605 | − | 0.344994i | \(-0.112119\pi\) | ||||
0.938605 | + | 0.344994i | \(0.112119\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 2.44914 | + | 0.233864i | 0.0786776 | + | 0.00751280i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −10.9332 | + | 31.5894i | −0.350863 | + | 1.01375i | 0.622130 | + | 0.782914i | \(0.286268\pi\) |
−0.972992 | + | 0.230837i | \(0.925854\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −9.93231 | + | 25.3226i | −0.318415 | + | 0.811806i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 19.0146 | + | 3.66476i | 0.608954 | + | 0.117366i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −4.74434 | − | 1.89935i | −0.151785 | − | 0.0607655i | 0.294526 | − | 0.955643i | \(-0.404838\pi\) |
−0.446311 | + | 0.894878i | \(0.647262\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −1.74767 | + | 1.12316i | −0.0558556 | + | 0.0358962i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 3.79551 | − | 8.31100i | 0.121181 | − | 0.265350i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 5.37536 | − | 22.1575i | 0.171447 | − | 0.706715i | −0.819570 | − | 0.572979i | \(-0.805788\pi\) |
0.991017 | − | 0.133736i | \(-0.0426973\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 11.4693 | + | 47.2771i | 0.365442 | + | 1.50637i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 7.48289 | − | 0.409035i | 0.238183 | − | 0.0130197i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −13.4392 | + | 6.95083i | −0.427340 | + | 0.221024i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −10.8467 | − | 8.52994i | −0.344557 | − | 0.270962i | 0.430851 | − | 0.902423i | \(-0.358213\pi\) |
−0.775408 | + | 0.631461i | \(0.782456\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 21.9658 | + | 6.44974i | 0.697064 | + | 0.204676i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 35.0907 | − | 10.3036i | 1.11245 | − | 0.326645i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −9.10850 | − | 12.7911i | −0.288469 | − | 0.405098i | 0.644757 | − | 0.764387i | \(-0.276958\pi\) |
−0.933226 | + | 0.359289i | \(0.883019\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 16.6589 | + | 8.58824i | 0.527063 | + | 0.271720i |
(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 | 644.2.y.a.445.5 | yes | 320 | |
7.2 | even | 3 | inner | 644.2.y.a.261.12 | yes | 320 | |
23.3 | even | 11 | inner | 644.2.y.a.417.12 | yes | 320 | |
161.72 | even | 33 | inner | 644.2.y.a.233.5 | ✓ | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
644.2.y.a.233.5 | ✓ | 320 | 161.72 | even | 33 | inner | |
644.2.y.a.261.12 | yes | 320 | 7.2 | even | 3 | inner | |
644.2.y.a.417.12 | yes | 320 | 23.3 | even | 11 | inner | |
644.2.y.a.445.5 | yes | 320 | 1.1 | even | 1 | trivial |