Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1456,2,Mod(417,1456)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1456, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1456.417");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1456 = 2^{4} \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1456.r (of order \(3\), degree \(2\), not 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: | \(11.6262185343\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\Q(\sqrt{-3}, \sqrt{5})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{3} + 2x^{2} + x + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{2} \) |
Twist minimal: | no (minimal twist has level 91) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 417.2 | ||
Root | \(-0.309017 + 0.535233i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1456.417 |
Dual form | 1456.2.r.j.625.2 |
$q$-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 \(\left(\mathbb{Z}/1456\mathbb{Z}\right)^\times\).
\(n\) | \(561\) | \(911\) | \(1093\) | \(1249\) |
\(\chi(n)\) | \(1\) | \(1\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
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 | ||||||||
\(3\) | 1.11803 | − | 1.93649i | 0.645497 | − | 1.11803i | −0.338689 | − | 0.940898i | \(-0.609984\pi\) |
0.984186 | − | 0.177136i | \(-0.0566831\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 1.11803 | + | 1.93649i | 0.500000 | + | 0.866025i | 1.00000 | \(0\) | ||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.00000 | − | 1.73205i | 0.755929 | − | 0.654654i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −1.00000 | − | 1.73205i | −0.333333 | − | 0.577350i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −1.50000 | + | 2.59808i | −0.452267 | + | 0.783349i | −0.998526 | − | 0.0542666i | \(-0.982718\pi\) |
0.546259 | + | 0.837616i | \(0.316051\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.00000 | −0.277350 | ||||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 5.00000 | 1.29099 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 3.73607 | − | 6.47106i | 0.906130 | − | 1.56946i | 0.0867359 | − | 0.996231i | \(-0.472356\pi\) |
0.819394 | − | 0.573231i | \(-0.194310\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.50000 | + | 2.59808i | 0.344124 | + | 0.596040i | 0.985194 | − | 0.171442i | \(-0.0548427\pi\) |
−0.641071 | + | 0.767482i | \(0.721509\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −1.11803 | − | 5.80948i | −0.243975 | − | 1.26773i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −1.88197 | − | 3.25966i | −0.392417 | − | 0.679686i | 0.600351 | − | 0.799737i | \(-0.295028\pi\) |
−0.992768 | + | 0.120051i | \(0.961694\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 2.23607 | 0.430331 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −4.47214 | −0.830455 | −0.415227 | − | 0.909718i | \(-0.636298\pi\) | ||||
−0.415227 | + | 0.909718i | \(0.636298\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 2.50000 | − | 4.33013i | 0.449013 | − | 0.777714i | −0.549309 | − | 0.835619i | \(-0.685109\pi\) |
0.998322 | + | 0.0579057i | \(0.0184423\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 3.35410 | + | 5.80948i | 0.583874 | + | 1.01130i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 5.59017 | + | 1.93649i | 0.944911 | + | 0.327327i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 4.35410 | + | 7.54153i | 0.715810 | + | 1.23982i | 0.962646 | + | 0.270762i | \(0.0872757\pi\) |
−0.246836 | + | 0.969057i | \(0.579391\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −1.11803 | + | 1.93649i | −0.179029 | + | 0.310087i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 4.47214 | 0.698430 | 0.349215 | − | 0.937043i | \(-0.386448\pi\) | ||||
0.349215 | + | 0.937043i | \(0.386448\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 8.00000 | 1.21999 | 0.609994 | − | 0.792406i | \(-0.291172\pi\) | ||||
0.609994 | + | 0.792406i | \(0.291172\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 2.23607 | − | 3.87298i | 0.333333 | − | 0.577350i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 0.736068 | + | 1.27491i | 0.107367 | + | 0.185964i | 0.914703 | − | 0.404128i | \(-0.132425\pi\) |
−0.807336 | + | 0.590092i | \(0.799091\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 1.00000 | − | 6.92820i | 0.142857 | − | 0.989743i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −8.35410 | − | 14.4697i | −1.16981 | − | 2.02617i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −0.736068 | + | 1.27491i | −0.101107 | + | 0.175122i | −0.912141 | − | 0.409877i | \(-0.865572\pi\) |
0.811034 | + | 0.584999i | \(0.198905\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −6.70820 | −0.904534 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 6.70820 | 0.888523 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 3.73607 | − | 6.47106i | 0.486395 | − | 0.842460i | −0.513483 | − | 0.858100i | \(-0.671645\pi\) |
0.999878 | + | 0.0156395i | \(0.00497842\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.50000 | − | 2.59808i | −0.192055 | − | 0.332650i | 0.753876 | − | 0.657017i | \(-0.228182\pi\) |
−0.945931 | + | 0.324367i | \(0.894849\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −5.00000 | − | 1.73205i | −0.629941 | − | 0.218218i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −1.11803 | − | 1.93649i | −0.138675 | − | 0.240192i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −1.50000 | + | 2.59808i | −0.183254 | + | 0.317406i | −0.942987 | − | 0.332830i | \(-0.891996\pi\) |
0.759733 | + | 0.650236i | \(0.225330\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −8.41641 | −1.01322 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −8.94427 | −1.06149 | −0.530745 | − | 0.847532i | \(-0.678088\pi\) | ||||
−0.530745 | + | 0.847532i | \(0.678088\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −5.35410 | + | 9.27358i | −0.626650 | + | 1.08539i | 0.361569 | + | 0.932345i | \(0.382241\pi\) |
−0.988219 | + | 0.153045i | \(0.951092\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 1.50000 | + | 7.79423i | 0.170941 | + | 0.888235i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 5.35410 | + | 9.27358i | 0.602384 | + | 1.04336i | 0.992459 | + | 0.122576i | \(0.0391155\pi\) |
−0.390076 | + | 0.920783i | \(0.627551\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 5.50000 | − | 9.52628i | 0.611111 | − | 1.05848i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 16.7082 | 1.81226 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −5.00000 | + | 8.66025i | −0.536056 | + | 0.928477i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 1.11803 | + | 1.93649i | 0.118511 | + | 0.205268i | 0.919178 | − | 0.393842i | \(-0.128854\pi\) |
−0.800667 | + | 0.599110i | \(0.795521\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −2.00000 | + | 1.73205i | −0.209657 | + | 0.181568i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −5.59017 | − | 9.68246i | −0.579674 | − | 1.00402i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −3.35410 | + | 5.80948i | −0.344124 | + | 0.596040i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −17.4164 | −1.76837 | −0.884184 | − | 0.467139i | \(-0.845285\pi\) | ||||
−0.884184 | + | 0.467139i | \(0.845285\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 6.00000 | 0.603023 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 4.50000 | − | 7.79423i | 0.447767 | − | 0.775555i | −0.550474 | − | 0.834853i | \(-0.685553\pi\) |
0.998240 | + | 0.0592978i | \(0.0188862\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 5.35410 | + | 9.27358i | 0.527555 | + | 0.913753i | 0.999484 | + | 0.0321160i | \(0.0102246\pi\) |
−0.471929 | + | 0.881637i | \(0.656442\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 10.0000 | − | 8.66025i | 0.975900 | − | 0.845154i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −7.11803 | − | 12.3288i | −0.688126 | − | 1.19187i | −0.972443 | − | 0.233139i | \(-0.925100\pi\) |
0.284317 | − | 0.958730i | \(-0.408233\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −5.35410 | + | 9.27358i | −0.512830 | + | 0.888248i | 0.487059 | + | 0.873369i | \(0.338070\pi\) |
−0.999889 | + | 0.0148787i | \(0.995264\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 19.4721 | 1.84821 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −14.9443 | −1.40584 | −0.702919 | − | 0.711269i | \(-0.748121\pi\) | ||||
−0.702919 | + | 0.711269i | \(0.748121\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 4.20820 | − | 7.28882i | 0.392417 | − | 0.679686i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 1.00000 | + | 1.73205i | 0.0924500 | + | 0.160128i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −3.73607 | − | 19.4132i | −0.342485 | − | 1.77960i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.00000 | + | 1.73205i | 0.0909091 | + | 0.157459i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 5.00000 | − | 8.66025i | 0.450835 | − | 0.780869i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 11.1803 | 1.00000 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −15.4164 | −1.36798 | −0.683992 | − | 0.729489i | \(-0.739758\pi\) | ||||
−0.683992 | + | 0.729489i | \(0.739758\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 8.94427 | − | 15.4919i | 0.787499 | − | 1.36399i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −1.88197 | − | 3.25966i | −0.164428 | − | 0.284798i | 0.772024 | − | 0.635593i | \(-0.219245\pi\) |
−0.936452 | + | 0.350796i | \(0.885911\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 7.50000 | + | 2.59808i | 0.650332 | + | 0.225282i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 2.50000 | + | 4.33013i | 0.215166 | + | 0.372678i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 1.88197 | − | 3.25966i | 0.160787 | − | 0.278492i | −0.774364 | − | 0.632740i | \(-0.781930\pi\) |
0.935151 | + | 0.354249i | \(0.115263\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −3.41641 | −0.289776 | −0.144888 | − | 0.989448i | \(-0.546282\pi\) | ||||
−0.144888 | + | 0.989448i | \(0.546282\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 3.29180 | 0.277219 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 1.50000 | − | 2.59808i | 0.125436 | − | 0.217262i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −5.00000 | − | 8.66025i | −0.415227 | − | 0.719195i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −12.2984 | − | 9.68246i | −1.01435 | − | 0.798596i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 6.35410 | + | 11.0056i | 0.520548 | + | 0.901616i | 0.999715 | + | 0.0238920i | \(0.00760577\pi\) |
−0.479166 | + | 0.877724i | \(0.659061\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −3.20820 | + | 5.55677i | −0.261080 | + | 0.452204i | −0.966529 | − | 0.256557i | \(-0.917412\pi\) |
0.705449 | + | 0.708760i | \(0.250745\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −14.9443 | −1.20817 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 11.1803 | 0.898027 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −3.50000 | + | 6.06218i | −0.279330 | + | 0.483814i | −0.971219 | − | 0.238190i | \(-0.923446\pi\) |
0.691888 | + | 0.722005i | \(0.256779\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 1.64590 | + | 2.85078i | 0.130528 | + | 0.226081i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −9.40983 | − | 3.25966i | −0.741598 | − | 0.256897i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 5.20820 | + | 9.02087i | 0.407938 | + | 0.706569i | 0.994659 | − | 0.103220i | \(-0.0329146\pi\) |
−0.586721 | + | 0.809789i | \(0.699581\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −7.50000 | + | 12.9904i | −0.583874 | + | 1.01130i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −13.5279 | −1.04682 | −0.523409 | − | 0.852082i | \(-0.675340\pi\) | ||||
−0.523409 | + | 0.852082i | \(0.675340\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1.00000 | 0.0769231 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 3.00000 | − | 5.19615i | 0.229416 | − | 0.397360i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −5.20820 | − | 9.02087i | −0.395972 | − | 0.685844i | 0.597252 | − | 0.802053i | \(-0.296259\pi\) |
−0.993225 | + | 0.116209i | \(0.962926\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −8.35410 | − | 14.4697i | −0.627933 | − | 1.08761i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 10.0623 | − | 17.4284i | 0.752092 | − | 1.30266i | −0.194715 | − | 0.980860i | \(-0.562378\pi\) |
0.946807 | − | 0.321802i | \(-0.104288\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 1.41641 | 0.105281 | 0.0526404 | − | 0.998614i | \(-0.483236\pi\) | ||||
0.0526404 | + | 0.998614i | \(0.483236\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −6.70820 | −0.495885 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −9.73607 | + | 16.8634i | −0.715810 | + | 1.23982i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 11.2082 | + | 19.4132i | 0.819625 | + | 1.41963i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 4.47214 | − | 3.87298i | 0.325300 | − | 0.281718i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −5.59017 | − | 9.68246i | −0.404491 | − | 0.700598i | 0.589772 | − | 0.807570i | \(-0.299218\pi\) |
−0.994262 | + | 0.106972i | \(0.965884\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 6.35410 | − | 11.0056i | 0.457378 | − | 0.792202i | −0.541443 | − | 0.840737i | \(-0.682122\pi\) |
0.998821 | + | 0.0485349i | \(0.0154552\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −5.00000 | −0.358057 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −26.9443 | −1.91970 | −0.959850 | − | 0.280514i | \(-0.909495\pi\) | ||||
−0.959850 | + | 0.280514i | \(0.909495\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −3.64590 | + | 6.31488i | −0.258451 | + | 0.447650i | −0.965827 | − | 0.259187i | \(-0.916545\pi\) |
0.707376 | + | 0.706837i | \(0.249879\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 3.35410 | + | 5.80948i | 0.236580 | + | 0.409769i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −8.94427 | + | 7.74597i | −0.627765 | + | 0.543660i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 5.00000 | + | 8.66025i | 0.349215 | + | 0.604858i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −3.76393 | + | 6.51932i | −0.261611 | + | 0.453124i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −9.00000 | −0.622543 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −4.00000 | −0.275371 | −0.137686 | − | 0.990476i | \(-0.543966\pi\) | ||||
−0.137686 | + | 0.990476i | \(0.543966\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −10.0000 | + | 17.3205i | −0.685189 | + | 1.18678i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 8.94427 | + | 15.4919i | 0.609994 | + | 1.05654i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −2.50000 | − | 12.9904i | −0.169711 | − | 0.881845i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 11.9721 | + | 20.7363i | 0.809002 | + | 1.40123i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −3.73607 | + | 6.47106i | −0.251315 | + | 0.435291i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 4.00000 | 0.267860 | 0.133930 | − | 0.990991i | \(-0.457240\pi\) | ||||
0.133930 | + | 0.990991i | \(0.457240\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −5.97214 | + | 10.3440i | −0.396385 | + | 0.686558i | −0.993277 | − | 0.115763i | \(-0.963069\pi\) |
0.596892 | + | 0.802321i | \(0.296402\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 8.06231 | + | 13.9643i | 0.532772 | + | 0.922788i | 0.999268 | + | 0.0382649i | \(0.0121831\pi\) |
−0.466495 | + | 0.884524i | \(0.654484\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 16.7705 | + | 5.80948i | 1.10342 | + | 0.382235i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 2.97214 | + | 5.14789i | 0.194711 | + | 0.337250i | 0.946806 | − | 0.321806i | \(-0.104290\pi\) |
−0.752095 | + | 0.659055i | \(0.770956\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −1.64590 | + | 2.85078i | −0.107367 | + | 0.185964i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 23.9443 | 1.55535 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 7.41641 | 0.479728 | 0.239864 | − | 0.970807i | \(-0.422897\pi\) | ||||
0.239864 | + | 0.970807i | \(0.422897\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 4.35410 | − | 7.54153i | 0.280472 | − | 0.485792i | −0.691029 | − | 0.722827i | \(-0.742842\pi\) |
0.971501 | + | 0.237035i | \(0.0761756\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −8.94427 | − | 15.4919i | −0.573775 | − | 0.993808i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 14.5344 | − | 5.80948i | 0.928571 | − | 0.371154i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −1.50000 | − | 2.59808i | −0.0954427 | − | 0.165312i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −10.4721 | −0.660995 | −0.330498 | − | 0.943807i | \(-0.607217\pi\) | ||||
−0.330498 | + | 0.943807i | \(0.607217\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 11.2918 | 0.709909 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 18.6803 | − | 32.3553i | 1.16981 | − | 2.02617i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 8.97214 | + | 15.5402i | 0.559666 | + | 0.969371i | 0.997524 | + | 0.0703264i | \(0.0224041\pi\) |
−0.437858 | + | 0.899044i | \(0.644263\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 21.7705 | + | 7.54153i | 1.35275 | + | 0.468608i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 4.47214 | + | 7.74597i | 0.276818 | + | 0.479463i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −7.06231 | + | 12.2323i | −0.435480 | + | 0.754274i | −0.997335 | − | 0.0729620i | \(-0.976755\pi\) |
0.561854 | + | 0.827236i | \(0.310088\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −3.29180 | −0.202213 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 5.00000 | 0.305995 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −2.26393 | + | 3.92125i | −0.138034 | + | 0.239083i | −0.926753 | − | 0.375672i | \(-0.877412\pi\) |
0.788718 | + | 0.614755i | \(0.210745\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 3.20820 | + | 5.55677i | 0.194885 | + | 0.337550i | 0.946863 | − | 0.321638i | \(-0.104233\pi\) |
−0.751978 | + | 0.659188i | \(0.770900\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 1.11803 | + | 5.80948i | 0.0676665 | + | 0.351605i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −13.2082 | + | 22.8773i | −0.793604 | + | 1.37456i | 0.130118 | + | 0.991499i | \(0.458464\pi\) |
−0.923722 | + | 0.383064i | \(0.874869\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −10.0000 | −0.598684 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 9.05573 | 0.540219 | 0.270110 | − | 0.962830i | \(-0.412940\pi\) | ||||
0.270110 | + | 0.962830i | \(0.412940\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −7.06231 | + | 12.2323i | −0.419811 | + | 0.727133i | −0.995920 | − | 0.0902393i | \(-0.971237\pi\) |
0.576110 | + | 0.817372i | \(0.304570\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 7.50000 | + | 12.9904i | 0.444262 | + | 0.769484i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 8.94427 | − | 7.74597i | 0.527964 | − | 0.457230i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −19.4164 | − | 33.6302i | −1.14214 | − | 1.97825i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −19.4721 | + | 33.7267i | −1.14148 | + | 1.97710i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 2.94427 | 0.172006 | 0.0860031 | − | 0.996295i | \(-0.472591\pi\) | ||||
0.0860031 | + | 0.996295i | \(0.472591\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 16.7082 | 0.972789 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −3.35410 | + | 5.80948i | −0.194625 | + | 0.337100i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 1.88197 | + | 3.25966i | 0.108837 | + | 0.188511i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 16.0000 | − | 13.8564i | 0.922225 | − | 0.798670i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −10.0623 | − | 17.4284i | −0.578064 | − | 1.00124i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 3.35410 | − | 5.80948i | 0.192055 | − | 0.332650i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 7.41641 | 0.423277 | 0.211638 | − | 0.977348i | \(-0.432120\pi\) | ||||
0.211638 | + | 0.977348i | \(0.432120\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 23.9443 | 1.36214 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −16.1180 | + | 27.9173i | −0.913970 | + | 1.58304i | −0.105567 | + | 0.994412i | \(0.533666\pi\) |
−0.808403 | + | 0.588630i | \(0.799667\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 16.2082 | + | 28.0734i | 0.916142 | + | 1.58680i | 0.805221 | + | 0.592975i | \(0.202047\pi\) |
0.110921 | + | 0.993829i | \(0.464620\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −2.23607 | − | 11.6190i | −0.125988 | − | 0.654654i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 1.88197 | + | 3.25966i | 0.105702 | + | 0.183081i | 0.914025 | − | 0.405659i | \(-0.132958\pi\) |
−0.808323 | + | 0.588739i | \(0.799624\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 6.70820 | − | 11.6190i | 0.375587 | − | 0.650536i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −31.8328 | −1.77673 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 22.4164 | 1.24728 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 11.9721 | + | 20.7363i | 0.662061 | + | 1.14672i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 3.68034 | + | 1.27491i | 0.202904 | + | 0.0702879i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −14.2082 | − | 24.6093i | −0.780954 | − | 1.35265i | −0.931387 | − | 0.364031i | \(-0.881400\pi\) |
0.150433 | − | 0.988620i | \(-0.451933\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 8.70820 | − | 15.0831i | 0.477207 | − | 0.826546i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −6.70820 | −0.366508 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 18.0000 | 0.980522 | 0.490261 | − | 0.871576i | \(-0.336901\pi\) | ||||
0.490261 | + | 0.871576i | \(0.336901\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −16.7082 | + | 28.9395i | −0.907465 | + | 1.57178i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 7.50000 | + | 12.9904i | 0.406148 | + | 0.703469i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −10.0000 | − | 15.5885i | −0.539949 | − | 0.841698i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −9.40983 | − | 16.2983i | −0.506608 | − | 0.877471i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −17.5344 | + | 30.3705i | −0.941298 | + | 1.63038i | −0.178299 | + | 0.983976i | \(0.557060\pi\) |
−0.762999 | + | 0.646400i | \(0.776274\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −2.58359 | −0.138297 | −0.0691483 | − | 0.997606i | \(-0.522028\pi\) | ||||
−0.0691483 | + | 0.997606i | \(0.522028\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −2.23607 | −0.119352 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −15.3541 | + | 26.5941i | −0.817216 | + | 1.41546i | 0.0905091 | + | 0.995896i | \(0.471151\pi\) |
−0.907725 | + | 0.419565i | \(0.862183\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −10.0000 | − | 17.3205i | −0.530745 | − | 0.919277i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −41.7705 | − | 14.4697i | −2.21073 | − | 0.765819i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −2.97214 | − | 5.14789i | −0.156863 | − | 0.271695i | 0.776873 | − | 0.629658i | \(-0.216805\pi\) |
−0.933736 | + | 0.357963i | \(0.883472\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 5.00000 | − | 8.66025i | 0.263158 | − | 0.455803i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 4.47214 | 0.234726 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −23.9443 | −1.25330 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 0.354102 | − | 0.613323i | 0.0184840 | − | 0.0320152i | −0.856635 | − | 0.515922i | \(-0.827449\pi\) |
0.875119 | + | 0.483907i | \(0.160783\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −4.47214 | − | 7.74597i | −0.232810 | − | 0.403239i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 0.736068 | + | 3.82472i | 0.0382147 | + | 0.198570i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 14.2082 | + | 24.6093i | 0.735673 | + | 1.27422i | 0.954427 | + | 0.298443i | \(0.0964673\pi\) |
−0.218755 | + | 0.975780i | \(0.570199\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 12.5000 | − | 21.6506i | 0.645497 | − | 1.11803i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 4.47214 | 0.230327 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −11.4164 | −0.586421 | −0.293211 | − | 0.956048i | \(-0.594724\pi\) | ||||
−0.293211 | + | 0.956048i | \(0.594724\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −17.2361 | + | 29.8537i | −0.883031 | + | 1.52945i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 7.50000 | + | 12.9904i | 0.383232 | + | 0.663777i | 0.991522 | − | 0.129937i | \(-0.0414776\pi\) |
−0.608290 | + | 0.793715i | \(0.708144\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −13.4164 | + | 11.6190i | −0.683763 | + | 0.592157i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −8.00000 | − | 13.8564i | −0.406663 | − | 0.704361i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 3.73607 | − | 6.47106i | 0.189426 | − | 0.328096i | −0.755633 | − | 0.654995i | \(-0.772671\pi\) |
0.945059 | + | 0.326900i | \(0.106004\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −28.1246 | −1.42232 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −8.41641 | −0.424552 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −11.9721 | + | 20.7363i | −0.602384 | + | 1.04336i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −7.06231 | − | 12.2323i | −0.354447 | − | 0.613920i | 0.632576 | − | 0.774498i | \(-0.281998\pi\) |
−0.987023 | + | 0.160578i | \(0.948664\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 13.4164 | − | 11.6190i | 0.671660 | − | 0.581675i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −4.88197 | − | 8.45581i | −0.243794 | − | 0.422263i | 0.717998 | − | 0.696045i | \(-0.245059\pi\) |
−0.961792 | + | 0.273782i | \(0.911725\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −2.50000 | + | 4.33013i | −0.124534 | + | 0.215699i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 24.5967 | 1.22222 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −26.1246 | −1.29495 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 2.35410 | − | 4.07742i | 0.116403 | − | 0.201616i | −0.801937 | − | 0.597409i | \(-0.796197\pi\) |
0.918340 | + | 0.395793i | \(0.129530\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −4.20820 | − | 7.28882i | −0.207575 | − | 0.359531i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −3.73607 | − | 19.4132i | −0.183840 | − | 0.955260i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −3.81966 | + | 6.61585i | −0.187050 | + | 0.323979i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −15.0557 | −0.735520 | −0.367760 | − | 0.929921i | \(-0.619875\pi\) | ||||
−0.367760 | + | 0.929921i | \(0.619875\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −13.4164 | −0.653876 | −0.326938 | − | 0.945046i | \(-0.606017\pi\) | ||||
−0.326938 | + | 0.945046i | \(0.606017\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 1.47214 | − | 2.54981i | 0.0715777 | − | 0.123976i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −7.50000 | − | 2.59808i | −0.362950 | − | 0.125730i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −3.35410 | − | 5.80948i | −0.161938 | − | 0.280484i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 6.68034 | − | 11.5707i | 0.321781 | − | 0.557340i | −0.659075 | − | 0.752077i | \(-0.729052\pi\) |
0.980856 | + | 0.194737i | \(0.0623853\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 2.58359 | 0.124160 | 0.0620798 | − | 0.998071i | \(-0.480227\pi\) | ||||
0.0620798 | + | 0.998071i | \(0.480227\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −22.3607 | −1.07211 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 5.64590 | − | 9.77898i | 0.270080 | − | 0.467792i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −8.06231 | − | 13.9643i | −0.384793 | − | 0.666481i | 0.606948 | − | 0.794742i | \(-0.292394\pi\) |
−0.991740 | + | 0.128261i | \(0.959060\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −13.0000 | + | 5.19615i | −0.619048 | + | 0.247436i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −1.11803 | − | 1.93649i | −0.0531194 | − | 0.0920055i | 0.838243 | − | 0.545297i | \(-0.183583\pi\) |
−0.891362 | + | 0.453291i | \(0.850250\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −2.50000 | + | 4.33013i | −0.118511 | + | 0.205268i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 28.4164 | 1.34405 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 10.3607 | 0.488951 | 0.244475 | − | 0.969656i | \(-0.421384\pi\) | ||||
0.244475 | + | 0.969656i | \(0.421384\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −6.70820 | + | 11.6190i | −0.315877 | + | 0.547115i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 7.17376 | + | 12.4253i | 0.337053 | + | 0.583792i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −5.59017 | − | 1.93649i | −0.262071 | − | 0.0907841i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −17.0623 | − | 29.5528i | −0.798141 | − | 1.38242i | −0.920825 | − | 0.389975i | \(-0.872484\pi\) |
0.122684 | − | 0.992446i | \(-0.460850\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 8.35410 | − | 14.4697i | 0.389936 | − | 0.675389i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −10.3607 | −0.482545 | −0.241272 | − | 0.970457i | \(-0.577565\pi\) | ||||
−0.241272 | + | 0.970457i | \(0.577565\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 24.0000 | 1.11537 | 0.557687 | − | 0.830051i | \(-0.311689\pi\) | ||||
0.557687 | + | 0.830051i | \(0.311689\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 12.5000 | − | 21.6506i | 0.579674 | − | 1.00402i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −10.8262 | − | 18.7516i | −0.500979 | − | 0.867720i | −0.999999 | − | 0.00113029i | \(-0.999640\pi\) |
0.499021 | − | 0.866590i | \(-0.333693\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 1.50000 | + | 7.79423i | 0.0692636 | + | 0.359904i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 7.82624 | + | 13.5554i | 0.360614 | + | 0.624602i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −12.0000 | + | 20.7846i | −0.551761 | + | 0.955677i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 2.94427 | 0.134809 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −14.9164 | + | 25.8360i | −0.681548 | + | 1.18048i | 0.292960 | + | 0.956125i | \(0.405360\pi\) |
−0.974508 | + | 0.224351i | \(0.927974\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −4.35410 | − | 7.54153i | −0.198530 | − | 0.343864i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −16.8328 | + | 14.5776i | −0.765920 | + | 0.663306i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −19.4721 | − | 33.7267i | −0.884184 | − | 1.53145i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 15.9164 | − | 27.5680i | 0.721241 | − | 1.24923i | −0.239261 | − | 0.970955i | \(-0.576905\pi\) |
0.960503 | − | 0.278271i | \(-0.0897614\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 23.2918 | 1.05329 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 34.4721 | 1.55571 | 0.777853 | − | 0.628446i | \(-0.216309\pi\) | ||||
0.777853 | + | 0.628446i | \(0.216309\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −16.7082 | + | 28.9395i | −0.752500 | + | 1.30337i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 6.70820 | + | 11.6190i | 0.301511 | + | 0.522233i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −17.8885 | + | 15.4919i | −0.802411 | + | 0.694908i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −0.208204 | − | 0.360620i | −0.00932049 | − | 0.0161436i | 0.861328 | − | 0.508050i | \(-0.169634\pi\) |
−0.870648 | + | 0.491907i | \(0.836300\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −15.1246 | + | 26.1966i | −0.675718 | + | 1.17038i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −3.05573 | −0.136248 | −0.0681241 | − | 0.997677i | \(-0.521701\pi\) | ||||
−0.0681241 | + | 0.997677i | \(0.521701\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 20.1246 | 0.895533 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 1.11803 | − | 1.93649i | 0.0496536 | − | 0.0860026i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 7.88197 | + | 13.6520i | 0.349362 | + | 0.605113i | 0.986136 | − | 0.165938i | \(-0.0530650\pi\) |
−0.636774 | + | 0.771050i | \(0.719732\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 5.35410 | + | 27.8207i | 0.236852 | + | 1.23072i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 3.35410 | + | 5.80948i | 0.148087 | + | 0.256495i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −11.9721 | + | 20.7363i | −0.527555 | + | 0.913753i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −4.41641 | −0.194233 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −23.2918 | −1.02240 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 0.0278640 | − | 0.0482619i | 0.00122075 | − | 0.00211439i | −0.865414 | − | 0.501057i | \(-0.832945\pi\) |
0.866635 | + | 0.498942i | \(0.166278\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 9.64590 | + | 16.7072i | 0.421786 | + | 0.730554i | 0.996114 | − | 0.0880707i | \(-0.0280701\pi\) |
−0.574329 | + | 0.818625i | \(0.694737\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −18.6803 | − | 32.3553i | −0.813728 | − | 1.40942i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 4.41641 | − | 7.64944i | 0.192018 | − | 0.332584i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −14.9443 | −0.648526 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −4.47214 | −0.193710 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 15.9164 | − | 27.5680i | 0.688126 | − | 1.19187i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −22.5000 | − | 38.9711i | −0.970947 | − | 1.68173i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 16.5000 | + | 12.9904i | 0.710705 | + | 0.559535i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −7.35410 | − | 12.7377i | −0.316178 | − | 0.547636i | 0.663510 | − | 0.748168i | \(-0.269066\pi\) |
−0.979687 | + | 0.200532i | \(0.935733\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 1.58359 | − | 2.74286i | 0.0679584 | − | 0.117707i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −23.9443 | −1.02566 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 31.4164 | 1.34327 | 0.671634 | − | 0.740883i | \(-0.265593\pi\) | ||||
0.671634 | + | 0.740883i | \(0.265593\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −3.00000 | + | 5.19615i | −0.128037 | + | 0.221766i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −6.70820 | − | 11.6190i | −0.285779 | − | 0.494984i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 26.7705 | + | 9.27358i | 1.13840 | + | 0.394353i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 21.7705 | + | 37.7076i | 0.924107 | + | 1.60060i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 2.64590 | − | 4.58283i | 0.112110 | − | 0.194181i | −0.804511 | − | 0.593938i | \(-0.797572\pi\) |
0.916621 | + | 0.399758i | \(0.130906\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −8.00000 | −0.338364 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 50.1246 | 2.11626 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −18.2984 | + | 31.6937i | −0.771185 | + | 1.33573i | 0.165730 | + | 0.986171i | \(0.447002\pi\) |
−0.936914 | + | 0.349560i | \(0.886331\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −16.7082 | − | 28.9395i | −0.702919 | − | 1.21749i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −5.50000 | − | 28.5788i | −0.230978 | − | 1.20020i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −8.26393 | − | 14.3136i | −0.346442 | − | 0.600055i | 0.639173 | − | 0.769063i | \(-0.279277\pi\) |
−0.985615 | + | 0.169008i | \(0.945944\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 2.06231 | − | 3.57202i | 0.0863048 | − | 0.149484i | −0.819642 | − | 0.572877i | \(-0.805827\pi\) |
0.905946 | + | 0.423392i | \(0.139161\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −25.0000 | −1.04439 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 16.3541 | − | 28.3261i | 0.680830 | − | 1.17923i | −0.293898 | − | 0.955837i | \(-0.594953\pi\) |
0.974728 | − | 0.223396i | \(-0.0717142\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −14.2082 | − | 24.6093i | −0.590473 | − | 1.02273i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −2.20820 | − | 3.82472i | −0.0914545 | − | 0.158404i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −2.23607 | + | 3.87298i | −0.0924500 | + | 0.160128i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 41.8885 | 1.72893 | 0.864463 | − | 0.502697i | \(-0.167659\pi\) | ||||
0.864463 | + | 0.502697i | \(0.167659\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 15.0000 | 0.618064 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −30.1246 | + | 52.1774i | −1.23916 | + | 2.14629i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −16.1180 | − | 27.9173i | −0.661888 | − | 1.14642i | −0.980119 | − | 0.198411i | \(-0.936422\pi\) |
0.318231 | − | 0.948013i | \(-0.396911\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 33.4164 | − | 28.9395i | 1.36994 | − | 1.18640i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 8.15248 | + | 14.1205i | 0.333659 | + | 0.577914i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 20.5344 | − | 35.5667i | 0.839015 | − | 1.45322i | −0.0517049 | − | 0.998662i | \(-0.516466\pi\) |
0.890719 | − | 0.454553i | \(-0.150201\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −22.0000 | −0.897399 | −0.448699 | − | 0.893683i | \(-0.648113\pi\) | ||||
−0.448699 | + | 0.893683i | \(0.648113\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 6.00000 | 0.244339 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −2.23607 | + | 3.87298i | −0.0909091 | + | 0.157459i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −8.06231 | − | 13.9643i | −0.327239 | − | 0.566794i | 0.654724 | − | 0.755868i | \(-0.272785\pi\) |
−0.981963 | + | 0.189074i | \(0.939452\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 5.00000 | + | 25.9808i | 0.202610 | + | 1.05279i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −0.736068 | − | 1.27491i | −0.0297781 | − | 0.0515772i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −11.0623 | + | 19.1605i | −0.446802 | + | 0.773884i | −0.998176 | − | 0.0603742i | \(-0.980771\pi\) |
0.551373 | + | 0.834259i | \(0.314104\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 22.3607 | 0.901670 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 4.47214 | 0.180041 | 0.0900207 | − | 0.995940i | \(-0.471307\pi\) | ||||
0.0900207 | + | 0.995940i | \(0.471307\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 8.50000 | − | 14.7224i | 0.341644 | − | 0.591744i | −0.643094 | − | 0.765787i | \(-0.722350\pi\) |
0.984738 | + | 0.174042i | \(0.0556830\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −4.20820 | − | 7.28882i | −0.168869 | − | 0.292490i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 5.59017 | + | 1.93649i | 0.223965 | + | 0.0775839i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 12.5000 | + | 21.6506i | 0.500000 | + | 0.866025i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −10.0623 | + | 17.4284i | −0.401850 | + | 0.696024i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 65.0689 | 2.59447 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 30.8328 | 1.22744 | 0.613718 | − | 0.789526i | \(-0.289673\pi\) | ||||
0.613718 | + | 0.789526i | \(0.289673\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −4.47214 | + | 7.74597i | −0.177751 | + | 0.307875i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −17.2361 | − | 29.8537i | −0.683992 | − | 1.18471i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −1.00000 | + | 6.92820i | −0.0396214 | + | 0.274505i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 8.94427 | + | 15.4919i | 0.353830 | + | 0.612851i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 2.97214 | − | 5.14789i | 0.117392 | − | 0.203329i | −0.801341 | − | 0.598208i | \(-0.795880\pi\) |
0.918734 | + | 0.394878i | \(0.129213\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 18.8328 | 0.742694 | 0.371347 | − | 0.928494i | \(-0.378896\pi\) | ||||
0.371347 | + | 0.928494i | \(0.378896\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 40.0000 | 1.57500 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 7.88197 | − | 13.6520i | 0.309872 | − | 0.536714i | −0.668462 | − | 0.743746i | \(-0.733047\pi\) |
0.978334 | + | 0.207032i | \(0.0663804\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 11.2082 | + | 19.4132i | 0.439960 | + | 0.762034i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −27.9508 | − | 9.68246i | −1.09548 | − | 0.379485i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −6.73607 | − | 11.6672i | −0.263603 | − | 0.456573i | 0.703594 | − | 0.710602i | \(-0.251577\pi\) |
−0.967197 | + | 0.254029i | \(0.918244\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 4.20820 | − | 7.28882i | 0.164428 | − | 0.284798i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 21.4164 | 0.835534 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −8.94427 | −0.348419 | −0.174210 | − | 0.984709i | \(-0.555737\pi\) | ||||
−0.174210 | + | 0.984709i | \(0.555737\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −3.35410 | + | 5.80948i | −0.130459 | + | 0.225962i | −0.923854 | − | 0.382746i | \(-0.874979\pi\) |
0.793394 | + | 0.608708i | \(0.208312\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 8.35410 | + | 14.4697i | 0.324446 | + | 0.561958i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 3.35410 | + | 17.4284i | 0.130066 | + | 0.675845i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 8.41641 | + | 14.5776i | 0.325885 | + | 0.564449i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 4.47214 | − | 7.74597i | 0.172903 | − | 0.299476i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 9.00000 | 0.347441 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 17.4164 | 0.671353 | 0.335677 | − | 0.941977i | \(-0.391035\pi\) | ||||
0.335677 | + | 0.941977i | \(0.391035\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −16.4443 | − | 28.4823i | −0.632005 | − | 1.09466i | −0.987141 | − | 0.159850i | \(-0.948899\pi\) |
0.355137 | − | 0.934814i | \(-0.384434\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −34.8328 | + | 30.1661i | −1.33676 | + | 1.15767i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 13.3541 | + | 23.1300i | 0.511730 | + | 0.886343i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −2.26393 | + | 3.92125i | −0.0866270 | + | 0.150042i | −0.906083 | − | 0.423099i | \(-0.860942\pi\) |
0.819456 | + | 0.573142i | \(0.194275\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 8.41641 | 0.321574 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 36.0557 | 1.37561 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 0.736068 | − | 1.27491i | 0.0280420 | − | 0.0485701i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 0.916408 | + | 1.58726i | 0.0348618 | + | 0.0603824i | 0.882930 | − | 0.469505i | \(-0.155568\pi\) |
−0.848068 | + | 0.529887i | \(0.822234\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 12.0000 | − | 10.3923i | 0.455842 | − | 0.394771i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −3.81966 | − | 6.61585i | −0.144888 | − | 0.250953i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 16.7082 | − | 28.9395i | 0.632868 | − | 1.09616i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 13.2918 | 0.502742 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 22.3607 | 0.844551 | 0.422276 | − | 0.906467i | \(-0.361231\pi\) | ||||
0.422276 | + | 0.906467i | \(0.361231\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −13.0623 | + | 22.6246i | −0.492654 | + | 0.853302i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 3.68034 | + | 6.37454i | 0.138610 | + | 0.240079i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −4.50000 | − | 23.3827i | −0.169240 | − | 0.879396i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 4.93769 | + | 8.55234i | 0.185439 | + | 0.321190i | 0.943724 | − | 0.330733i | \(-0.107296\pi\) |
−0.758285 | + | 0.651923i | \(0.773963\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 10.7082 | − | 18.5472i | 0.401589 | − | 0.695573i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −18.8197 | −0.704802 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 6.70820 | 0.250873 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 8.29180 | − | 14.3618i | 0.309663 | − | 0.536352i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 5.64590 | + | 9.77898i | 0.210556 | + | 0.364694i | 0.951889 | − | 0.306444i | \(-0.0991391\pi\) |
−0.741332 | + | 0.671138i | \(0.765806\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 26.7705 | + | 9.27358i | 0.996986 | + | 0.345366i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −9.73607 | − | 16.8634i | −0.362088 | − | 0.627155i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −14.8328 | −0.550119 | −0.275059 | − | 0.961427i | \(-0.588698\pi\) | ||||
−0.275059 | + | 0.961427i | \(0.588698\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −7.00000 | −0.259259 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 29.8885 | − | 51.7685i | 1.10547 | − | 1.91473i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −7.64590 | − | 13.2431i | −0.282408 | − | 0.489144i | 0.689570 | − | 0.724219i | \(-0.257800\pi\) |
−0.971977 | + | 0.235075i | \(0.924466\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 5.00000 | − | 34.6410i | 0.184428 | − | 1.27775i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −4.50000 | − | 7.79423i | −0.165760 | − | 0.287104i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 17.9164 | − | 31.0321i | 0.659066 | − | 1.14154i | −0.321792 | − | 0.946810i | \(-0.604285\pi\) |
0.980858 | − | 0.194725i | \(-0.0623814\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −6.70820 | −0.246432 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −15.0557 | −0.552341 | −0.276171 | − | 0.961109i | \(-0.589065\pi\) | ||||
−0.276171 | + | 0.961109i | \(0.589065\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −14.2082 | + | 24.6093i | −0.520548 | + | 0.901616i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −35.5902 | − | 12.3288i | −1.30044 | − | 0.450484i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 15.0623 | + | 26.0887i | 0.549631 | + | 0.951989i | 0.998300 | + | 0.0582911i | \(0.0185651\pi\) |
−0.448668 | + | 0.893698i | \(0.648102\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −11.7082 | + | 20.2792i | −0.426671 | + | 0.739015i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −14.3475 | −0.522160 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 0.832816 | 0.0302692 | 0.0151346 | − | 0.999885i | \(-0.495182\pi\) | ||||
0.0151346 | + | 0.999885i | \(0.495182\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 12.6246 | − | 21.8665i | 0.458244 | − | 0.793703i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −16.7705 | − | 29.0474i | −0.607931 | − | 1.05297i | −0.991581 | − | 0.129488i | \(-0.958667\pi\) |
0.383650 | − | 0.923478i | \(-0.374667\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 5.35410 | + | 27.8207i | 0.193832 | + | 1.00718i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −16.7082 | − | 28.9395i | −0.604086 | − | 1.04631i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −3.73607 | + | 6.47106i | −0.134902 | + | 0.233656i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 46.0000 | 1.65880 | 0.829401 | − | 0.558653i | \(-0.188682\pi\) | ||||
0.829401 | + | 0.558653i | \(0.188682\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 40.1246 | 1.44505 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −5.53444 | + | 9.58593i | −0.199060 | + | 0.344782i | −0.948224 | − | 0.317603i | \(-0.897122\pi\) |
0.749164 | + | 0.662385i | \(0.230456\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 38.9443 | − | 33.7267i | 1.39712 | − | 1.20994i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 6.70820 | + | 11.6190i | 0.240346 | + | 0.416292i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 13.4164 | − | 23.2379i | 0.480077 | − | 0.831517i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −10.0000 | −0.357371 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −15.6525 | −0.558661 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −3.20820 | + | 5.55677i | −0.114360 | + | 0.198078i | −0.917524 | − | 0.397681i | \(-0.869815\pi\) |
0.803164 | + | 0.595758i | \(0.203148\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 15.7918 | + | 27.3522i | 0.562203 | + | 0.973764i | ||||
\(790\) | 0 | 0 |