Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [475,2,Mod(101,475)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(475, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("475.101");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 475 = 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 475.l (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.79289409601\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{3} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 19) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 251.1 | ||
Root | \(-0.173648 - 0.984808i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 475.251 |
Dual form | 475.2.l.a.176.1 |
$q$-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 \(\left(\mathbb{Z}/475\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.826352 | + | 0.300767i | 0.584319 | + | 0.212675i | 0.617229 | − | 0.786784i | \(-0.288255\pi\) |
−0.0329100 | + | 0.999458i | \(0.510477\pi\) | |||||||
\(3\) | −0.0923963 | − | 0.524005i | −0.0533450 | − | 0.302535i | 0.946449 | − | 0.322855i | \(-0.104643\pi\) |
−0.999794 | + | 0.0203202i | \(0.993531\pi\) | |||||||
\(4\) | −0.939693 | − | 0.788496i | −0.469846 | − | 0.394248i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 0.0812519 | − | 0.460802i | 0.0331710 | − | 0.188122i | ||||
\(7\) | −0.939693 | + | 1.62760i | −0.355170 | + | 0.615173i | −0.987147 | − | 0.159814i | \(-0.948910\pi\) |
0.631977 | + | 0.774987i | \(0.282244\pi\) | |||||||
\(8\) | −1.41875 | − | 2.45734i | −0.501603 | − | 0.868802i | ||||
\(9\) | 2.55303 | − | 0.929228i | 0.851011 | − | 0.309743i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −1.70574 | − | 2.95442i | −0.514299 | − | 0.890792i | −0.999862 | − | 0.0165906i | \(-0.994719\pi\) |
0.485563 | − | 0.874202i | \(-0.338615\pi\) | |||||||
\(12\) | −0.326352 | + | 0.565258i | −0.0942097 | + | 0.163176i | ||||
\(13\) | 0.918748 | − | 5.21048i | 0.254815 | − | 1.44513i | −0.541733 | − | 0.840551i | \(-0.682231\pi\) |
0.796547 | − | 0.604576i | \(-0.206657\pi\) | |||||||
\(14\) | −1.26604 | + | 1.06234i | −0.338365 | + | 0.283922i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.00727396 | − | 0.0412527i | −0.00181849 | − | 0.0103132i | ||||
\(17\) | 1.55303 | + | 0.565258i | 0.376666 | + | 0.137095i | 0.523414 | − | 0.852079i | \(-0.324658\pi\) |
−0.146748 | + | 0.989174i | \(0.546881\pi\) | |||||||
\(18\) | 2.38919 | 0.563136 | ||||||||
\(19\) | −2.52094 | − | 3.55596i | −0.578344 | − | 0.815793i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0.939693 | + | 0.342020i | 0.205058 | + | 0.0746349i | ||||
\(22\) | −0.520945 | − | 2.95442i | −0.111066 | − | 0.629885i | ||||
\(23\) | −1.34730 | − | 1.13052i | −0.280931 | − | 0.235729i | 0.491424 | − | 0.870921i | \(-0.336477\pi\) |
−0.772354 | + | 0.635192i | \(0.780921\pi\) | |||||||
\(24\) | −1.15657 | + | 0.970481i | −0.236085 | + | 0.198099i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 2.32635 | − | 4.02936i | 0.456235 | − | 0.790222i | ||||
\(27\) | −1.52094 | − | 2.63435i | −0.292706 | − | 0.506982i | ||||
\(28\) | 2.16637 | − | 0.788496i | 0.409406 | − | 0.149012i | ||||
\(29\) | 3.25877 | − | 1.18610i | 0.605138 | − | 0.220252i | −0.0212363 | − | 0.999774i | \(-0.506760\pi\) |
0.626375 | + | 0.779522i | \(0.284538\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.971782 | + | 1.68317i | −0.174537 | + | 0.302307i | −0.940001 | − | 0.341172i | \(-0.889176\pi\) |
0.765464 | + | 0.643479i | \(0.222510\pi\) | |||||||
\(32\) | −0.979055 | + | 5.55250i | −0.173074 | + | 0.981553i | ||||
\(33\) | −1.39053 | + | 1.16679i | −0.242060 | + | 0.203113i | ||||
\(34\) | 1.11334 | + | 0.934204i | 0.190936 | + | 0.160215i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −3.13176 | − | 1.13987i | −0.521960 | − | 0.189978i | ||||
\(37\) | 0.837496 | 0.137684 | 0.0688418 | − | 0.997628i | \(-0.478070\pi\) | ||||
0.0688418 | + | 0.997628i | \(0.478070\pi\) | |||||||
\(38\) | −1.01367 | − | 3.69669i | −0.164439 | − | 0.599682i | ||||
\(39\) | −2.81521 | −0.450794 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −0.779715 | − | 4.42198i | −0.121771 | − | 0.690598i | −0.983173 | − | 0.182675i | \(-0.941524\pi\) |
0.861402 | − | 0.507923i | \(-0.169587\pi\) | |||||||
\(42\) | 0.673648 | + | 0.565258i | 0.103946 | + | 0.0872212i | ||||
\(43\) | −3.67752 | + | 3.08580i | −0.560816 | + | 0.470581i | −0.878584 | − | 0.477588i | \(-0.841511\pi\) |
0.317768 | + | 0.948169i | \(0.397067\pi\) | |||||||
\(44\) | −0.726682 | + | 4.12122i | −0.109551 | + | 0.621297i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.773318 | − | 1.33943i | −0.114020 | − | 0.197488i | ||||
\(47\) | 0.673648 | − | 0.245188i | 0.0982617 | − | 0.0357643i | −0.292422 | − | 0.956290i | \(-0.594461\pi\) |
0.390683 | + | 0.920525i | \(0.372239\pi\) | |||||||
\(48\) | −0.0209445 | + | 0.00762319i | −0.00302308 | + | 0.00110031i | ||||
\(49\) | 1.73396 | + | 3.00330i | 0.247708 | + | 0.429043i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0.152704 | − | 0.866025i | 0.0213828 | − | 0.121268i | ||||
\(52\) | −4.97178 | + | 4.17182i | −0.689462 | + | 0.578527i | ||||
\(53\) | 4.67752 | + | 3.92490i | 0.642507 | + | 0.539127i | 0.904787 | − | 0.425865i | \(-0.140030\pi\) |
−0.262280 | + | 0.964992i | \(0.584474\pi\) | |||||||
\(54\) | −0.464508 | − | 2.63435i | −0.0632115 | − | 0.358490i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 5.33275 | 0.712618 | ||||||||
\(57\) | −1.63041 | + | 1.64955i | −0.215954 | + | 0.218488i | ||||
\(58\) | 3.04963 | 0.400436 | ||||||||
\(59\) | 10.1099 | + | 3.67972i | 1.31620 | + | 0.479058i | 0.902239 | − | 0.431236i | \(-0.141922\pi\) |
0.413962 | + | 0.910294i | \(0.364144\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.36231 | + | 2.82131i | 0.430500 | + | 0.361232i | 0.832140 | − | 0.554565i | \(-0.187115\pi\) |
−0.401640 | + | 0.915797i | \(0.631560\pi\) | |||||||
\(62\) | −1.30928 | + | 1.09861i | −0.166278 | + | 0.139524i | ||||
\(63\) | −0.886659 | + | 5.02849i | −0.111709 | + | 0.633531i | ||||
\(64\) | −2.52094 | + | 4.36640i | −0.315118 | + | 0.545801i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −1.50000 | + | 0.545955i | −0.184637 | + | 0.0672025i | ||||
\(67\) | 13.3550 | − | 4.86084i | 1.63158 | − | 0.593846i | 0.646040 | − | 0.763304i | \(-0.276424\pi\) |
0.985537 | + | 0.169458i | \(0.0542017\pi\) | |||||||
\(68\) | −1.01367 | − | 1.75573i | −0.122926 | − | 0.212913i | ||||
\(69\) | −0.467911 | + | 0.810446i | −0.0563299 | + | 0.0975662i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −10.5398 | + | 8.84397i | −1.25085 | + | 1.04959i | −0.254252 | + | 0.967138i | \(0.581829\pi\) |
−0.996595 | + | 0.0824479i | \(0.973726\pi\) | |||||||
\(72\) | −5.90554 | − | 4.95534i | −0.695975 | − | 0.583992i | ||||
\(73\) | 1.30541 | + | 7.40333i | 0.152786 | + | 0.866495i | 0.960782 | + | 0.277306i | \(0.0894415\pi\) |
−0.807995 | + | 0.589189i | \(0.799447\pi\) | |||||||
\(74\) | 0.692066 | + | 0.251892i | 0.0804511 | + | 0.0292818i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −0.434945 | + | 5.32926i | −0.0498916 | + | 0.611308i | ||||
\(77\) | 6.41147 | 0.730655 | ||||||||
\(78\) | −2.32635 | − | 0.846723i | −0.263407 | − | 0.0958725i | ||||
\(79\) | −1.20914 | − | 6.85738i | −0.136039 | − | 0.771515i | −0.974131 | − | 0.225986i | \(-0.927440\pi\) |
0.838092 | − | 0.545529i | \(-0.183671\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 5.00387 | − | 4.19875i | 0.555986 | − | 0.466527i | ||||
\(82\) | 0.685670 | − | 3.88863i | 0.0757196 | − | 0.429427i | ||||
\(83\) | 1.25624 | − | 2.17588i | 0.137891 | − | 0.238834i | −0.788807 | − | 0.614641i | \(-0.789301\pi\) |
0.926698 | + | 0.375807i | \(0.122634\pi\) | |||||||
\(84\) | −0.613341 | − | 1.06234i | −0.0669210 | − | 0.115911i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −3.96703 | + | 1.44388i | −0.427776 | + | 0.155698i | ||||
\(87\) | −0.922618 | − | 1.59802i | −0.0989151 | − | 0.171326i | ||||
\(88\) | −4.84002 | + | 8.38316i | −0.515948 | + | 0.893648i | ||||
\(89\) | −0.396459 | + | 2.24843i | −0.0420246 | + | 0.238333i | −0.998584 | − | 0.0532055i | \(-0.983056\pi\) |
0.956559 | + | 0.291539i | \(0.0941673\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 7.61721 | + | 6.39160i | 0.798501 | + | 0.670022i | ||||
\(92\) | 0.374638 | + | 2.12467i | 0.0390587 | + | 0.221513i | ||||
\(93\) | 0.971782 | + | 0.353700i | 0.100769 | + | 0.0366769i | ||||
\(94\) | 0.630415 | 0.0650223 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 3.00000 | 0.306186 | ||||||||
\(97\) | −1.71301 | − | 0.623485i | −0.173930 | − | 0.0633053i | 0.253587 | − | 0.967312i | \(-0.418389\pi\) |
−0.427517 | + | 0.904007i | \(0.640612\pi\) | |||||||
\(98\) | 0.529563 | + | 3.00330i | 0.0534939 | + | 0.303379i | ||||
\(99\) | −7.10014 | − | 5.95772i | −0.713591 | − | 0.598774i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −1.37551 | + | 7.80093i | −0.136869 | + | 0.776222i | 0.836671 | + | 0.547705i | \(0.184499\pi\) |
−0.973540 | + | 0.228516i | \(0.926613\pi\) | |||||||
\(102\) | 0.386659 | − | 0.669713i | 0.0382850 | − | 0.0663115i | ||||
\(103\) | −0.00727396 | − | 0.0125989i | −0.000716725 | − | 0.00124140i | 0.865667 | − | 0.500621i | \(-0.166895\pi\) |
−0.866384 | + | 0.499379i | \(0.833561\pi\) | |||||||
\(104\) | −14.1074 | + | 5.13468i | −1.38335 | + | 0.503497i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 2.68479 | + | 4.65020i | 0.260770 | + | 0.451667i | ||||
\(107\) | −1.77719 | + | 3.07818i | −0.171807 | + | 0.297579i | −0.939052 | − | 0.343776i | \(-0.888294\pi\) |
0.767244 | + | 0.641355i | \(0.221627\pi\) | |||||||
\(108\) | −0.647956 | + | 3.67474i | −0.0623496 | + | 0.353602i | ||||
\(109\) | 5.64543 | − | 4.73708i | 0.540734 | − | 0.453730i | −0.331055 | − | 0.943612i | \(-0.607404\pi\) |
0.871789 | + | 0.489882i | \(0.162960\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −0.0773815 | − | 0.438852i | −0.00734473 | − | 0.0416540i | ||||
\(112\) | 0.0739780 | + | 0.0269258i | 0.00699026 | + | 0.00254425i | ||||
\(113\) | −7.37733 | −0.694000 | −0.347000 | − | 0.937865i | \(-0.612800\pi\) | ||||
−0.347000 | + | 0.937865i | \(0.612800\pi\) | |||||||
\(114\) | −1.84343 | + | 0.872729i | −0.172653 | + | 0.0817386i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −3.99747 | − | 1.45496i | −0.371156 | − | 0.135090i | ||||
\(117\) | −2.49613 | − | 14.1563i | −0.230767 | − | 1.30875i | ||||
\(118\) | 7.24763 | + | 6.08148i | 0.667198 | + | 0.559846i | ||||
\(119\) | −2.37939 | + | 1.99654i | −0.218118 | + | 0.183023i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −0.319078 | + | 0.552659i | −0.0290071 | + | 0.0502417i | ||||
\(122\) | 1.92989 | + | 3.34267i | 0.174724 | + | 0.302631i | ||||
\(123\) | −2.24510 | + | 0.817150i | −0.202434 | + | 0.0736799i | ||||
\(124\) | 2.24035 | − | 0.815422i | 0.201190 | − | 0.0732270i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −2.24510 | + | 3.88863i | −0.200009 | + | 0.346426i | ||||
\(127\) | 0.0175410 | − | 0.0994798i | 0.00155651 | − | 0.00882740i | −0.984020 | − | 0.178060i | \(-0.943018\pi\) |
0.985576 | + | 0.169233i | \(0.0541290\pi\) | |||||||
\(128\) | 5.24170 | − | 4.39831i | 0.463305 | − | 0.388759i | ||||
\(129\) | 1.95677 | + | 1.64192i | 0.172284 | + | 0.144563i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 2.85369 | + | 1.03866i | 0.249328 | + | 0.0907481i | 0.463661 | − | 0.886013i | \(-0.346536\pi\) |
−0.214333 | + | 0.976761i | \(0.568758\pi\) | |||||||
\(132\) | 2.22668 | 0.193808 | ||||||||
\(133\) | 8.15657 | − | 0.761570i | 0.707265 | − | 0.0660365i | ||||
\(134\) | 12.4979 | 1.07966 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −0.814330 | − | 4.61830i | −0.0698282 | − | 0.396016i | ||||
\(137\) | −14.9684 | − | 12.5600i | −1.27883 | − | 1.07307i | −0.993404 | − | 0.114671i | \(-0.963419\pi\) |
−0.285431 | − | 0.958399i | \(-0.592137\pi\) | |||||||
\(138\) | −0.630415 | + | 0.528981i | −0.0536645 | + | 0.0450298i | ||||
\(139\) | 2.67365 | − | 15.1630i | 0.226776 | − | 1.28611i | −0.632485 | − | 0.774573i | \(-0.717965\pi\) |
0.859261 | − | 0.511537i | \(-0.170924\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −0.190722 | − | 0.330341i | −0.0160617 | − | 0.0278197i | ||||
\(142\) | −11.3696 | + | 4.13819i | −0.954114 | + | 0.347269i | ||||
\(143\) | −16.9611 | + | 6.17334i | −1.41836 | + | 0.516240i | ||||
\(144\) | −0.0569038 | − | 0.0985603i | −0.00474198 | − | 0.00821336i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −1.14796 | + | 6.51038i | −0.0950055 | + | 0.538803i | ||||
\(147\) | 1.41353 | − | 1.18610i | 0.116586 | − | 0.0978275i | ||||
\(148\) | −0.786989 | − | 0.660362i | −0.0646901 | − | 0.0542814i | ||||
\(149\) | −0.654048 | − | 3.70929i | −0.0535817 | − | 0.303877i | 0.946226 | − | 0.323507i | \(-0.104862\pi\) |
−0.999807 | + | 0.0196306i | \(0.993751\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −14.5963 | −1.18783 | −0.593914 | − | 0.804529i | \(-0.702418\pi\) | ||||
−0.593914 | + | 0.804529i | \(0.702418\pi\) | |||||||
\(152\) | −5.16163 | + | 11.2398i | −0.418663 | + | 0.911671i | ||||
\(153\) | 4.49020 | 0.363011 | ||||||||
\(154\) | 5.29813 | + | 1.92836i | 0.426936 | + | 0.155392i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 2.64543 | + | 2.21978i | 0.211804 | + | 0.177725i | ||||
\(157\) | 7.94743 | − | 6.66869i | 0.634274 | − | 0.532219i | −0.267980 | − | 0.963425i | \(-0.586356\pi\) |
0.902254 | + | 0.431205i | \(0.141912\pi\) | |||||||
\(158\) | 1.06330 | − | 6.03028i | 0.0845916 | − | 0.479743i | ||||
\(159\) | 1.62449 | − | 2.81369i | 0.128830 | − | 0.223140i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 3.10607 | − | 1.13052i | 0.244792 | − | 0.0890971i | ||||
\(162\) | 5.39780 | − | 1.96464i | 0.424091 | − | 0.154357i | ||||
\(163\) | −1.01114 | − | 1.75135i | −0.0791989 | − | 0.137177i | 0.823706 | − | 0.567018i | \(-0.191903\pi\) |
−0.902905 | + | 0.429841i | \(0.858570\pi\) | |||||||
\(164\) | −2.75402 | + | 4.77011i | −0.215053 | + | 0.372483i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 1.69253 | − | 1.42020i | 0.131366 | − | 0.110229i | ||||
\(167\) | 17.8157 | + | 14.9491i | 1.37862 | + | 1.15680i | 0.969720 | + | 0.244218i | \(0.0785312\pi\) |
0.408898 | + | 0.912580i | \(0.365913\pi\) | |||||||
\(168\) | −0.492726 | − | 2.79439i | −0.0380146 | − | 0.215592i | ||||
\(169\) | −14.0890 | − | 5.12797i | −1.08377 | − | 0.394460i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −9.74035 | − | 6.73595i | −0.744863 | − | 0.515111i | ||||
\(172\) | 5.88888 | 0.449023 | ||||||||
\(173\) | 0.842549 | + | 0.306663i | 0.0640578 | + | 0.0233151i | 0.373850 | − | 0.927489i | \(-0.378037\pi\) |
−0.309793 | + | 0.950804i | \(0.600260\pi\) | |||||||
\(174\) | −0.281774 | − | 1.59802i | −0.0213613 | − | 0.121146i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −0.109470 | + | 0.0918566i | −0.00825164 | + | 0.00692395i | ||||
\(177\) | 0.994070 | − | 5.63765i | 0.0747189 | − | 0.423752i | ||||
\(178\) | −1.00387 | + | 1.73875i | −0.0752433 | + | 0.130325i | ||||
\(179\) | 10.6591 | + | 18.4621i | 0.796699 | + | 1.37992i | 0.921755 | + | 0.387773i | \(0.126755\pi\) |
−0.125056 | + | 0.992150i | \(0.539911\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 15.1284 | − | 5.50627i | 1.12448 | − | 0.409278i | 0.288196 | − | 0.957571i | \(-0.406945\pi\) |
0.836286 | + | 0.548294i | \(0.184722\pi\) | |||||||
\(182\) | 4.37211 | + | 7.57272i | 0.324082 | + | 0.561327i | ||||
\(183\) | 1.16772 | − | 2.02255i | 0.0863202 | − | 0.149511i | ||||
\(184\) | −0.866592 | + | 4.91469i | −0.0638860 | + | 0.362316i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 0.696652 | + | 0.584561i | 0.0510810 | + | 0.0428621i | ||||
\(187\) | −0.979055 | − | 5.55250i | −0.0715956 | − | 0.406039i | ||||
\(188\) | −0.826352 | − | 0.300767i | −0.0602679 | − | 0.0219357i | ||||
\(189\) | 5.71688 | 0.415842 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 18.9486 | 1.37107 | 0.685537 | − | 0.728038i | \(-0.259568\pi\) | ||||
0.685537 | + | 0.728038i | \(0.259568\pi\) | |||||||
\(192\) | 2.52094 | + | 0.917549i | 0.181934 | + | 0.0662184i | ||||
\(193\) | −2.24035 | − | 12.7057i | −0.161264 | − | 0.914574i | −0.952833 | − | 0.303494i | \(-0.901847\pi\) |
0.791569 | − | 0.611080i | \(-0.209264\pi\) | |||||||
\(194\) | −1.22803 | − | 1.03044i | −0.0881671 | − | 0.0739810i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0.738703 | − | 4.18939i | 0.0527645 | − | 0.299242i | ||||
\(197\) | −11.6001 | + | 20.0920i | −0.826476 | + | 1.43150i | 0.0743108 | + | 0.997235i | \(0.476324\pi\) |
−0.900786 | + | 0.434263i | \(0.857009\pi\) | |||||||
\(198\) | −4.07532 | − | 7.05866i | −0.289621 | − | 0.501637i | ||||
\(199\) | −8.66550 | + | 3.15398i | −0.614281 | + | 0.223580i | −0.630375 | − | 0.776291i | \(-0.717099\pi\) |
0.0160945 | + | 0.999870i | \(0.494877\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −3.78106 | − | 6.54899i | −0.266695 | − | 0.461930i | ||||
\(202\) | −3.48293 | + | 6.03260i | −0.245058 | + | 0.424453i | ||||
\(203\) | −1.13176 | + | 6.41852i | −0.0794339 | + | 0.450492i | ||||
\(204\) | −0.826352 | + | 0.693392i | −0.0578562 | + | 0.0485471i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −0.00222152 | − | 0.0125989i | −0.000154781 | − | 0.000877805i | ||||
\(207\) | −4.49020 | − | 1.63430i | −0.312090 | − | 0.113592i | ||||
\(208\) | −0.221629 | −0.0153672 | ||||||||
\(209\) | −6.20574 | + | 13.5135i | −0.429260 | + | 0.934746i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −13.7417 | − | 5.00157i | −0.946017 | − | 0.344322i | −0.177478 | − | 0.984125i | \(-0.556794\pi\) |
−0.768539 | + | 0.639803i | \(0.779016\pi\) | |||||||
\(212\) | −1.30066 | − | 7.37641i | −0.0893297 | − | 0.506614i | ||||
\(213\) | 5.60813 | + | 4.70578i | 0.384262 | + | 0.322435i | ||||
\(214\) | −2.39440 | + | 2.00914i | −0.163678 | + | 0.137342i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −4.31567 | + | 7.47497i | −0.293644 | + | 0.508607i | ||||
\(217\) | −1.82635 | − | 3.16333i | −0.123981 | − | 0.214741i | ||||
\(218\) | 6.08987 | − | 2.21653i | 0.412458 | − | 0.150122i | ||||
\(219\) | 3.75877 | − | 1.36808i | 0.253994 | − | 0.0924463i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 4.37211 | − | 7.57272i | 0.294100 | − | 0.509396i | ||||
\(222\) | 0.0680482 | − | 0.385920i | 0.00456709 | − | 0.0259013i | ||||
\(223\) | 2.30928 | − | 1.93771i | 0.154641 | − | 0.129759i | −0.562185 | − | 0.827012i | \(-0.690039\pi\) |
0.716825 | + | 0.697253i | \(0.245595\pi\) | |||||||
\(224\) | −8.11721 | − | 6.81115i | −0.542354 | − | 0.455089i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −6.09627 | − | 2.21886i | −0.405518 | − | 0.147596i | ||||
\(227\) | 13.7219 | 0.910757 | 0.455378 | − | 0.890298i | \(-0.349504\pi\) | ||||
0.455378 | + | 0.890298i | \(0.349504\pi\) | |||||||
\(228\) | 2.83275 | − | 0.264490i | 0.187603 | − | 0.0175163i | ||||
\(229\) | 9.41416 | 0.622105 | 0.311053 | − | 0.950393i | \(-0.399318\pi\) | ||||
0.311053 | + | 0.950393i | \(0.399318\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −0.592396 | − | 3.35965i | −0.0389768 | − | 0.221048i | ||||
\(232\) | −7.53802 | − | 6.32515i | −0.494895 | − | 0.415266i | ||||
\(233\) | 18.5273 | − | 15.5463i | 1.21377 | − | 1.01847i | 0.214640 | − | 0.976693i | \(-0.431142\pi\) |
0.999127 | − | 0.0417777i | \(-0.0133021\pi\) | |||||||
\(234\) | 2.19506 | − | 12.4488i | 0.143496 | − | 0.813804i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −6.59879 | − | 11.4294i | −0.429545 | − | 0.743993i | ||||
\(237\) | −3.48158 | + | 1.26719i | −0.226153 | + | 0.0823130i | ||||
\(238\) | −2.56670 | + | 0.934204i | −0.166375 | + | 0.0605554i | ||||
\(239\) | 11.6630 | + | 20.2009i | 0.754415 | + | 1.30668i | 0.945665 | + | 0.325143i | \(0.105413\pi\) |
−0.191250 | + | 0.981541i | \(0.561254\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 0.0516892 | − | 0.293144i | 0.00332960 | − | 0.0188831i | −0.983098 | − | 0.183082i | \(-0.941393\pi\) |
0.986427 | + | 0.164199i | \(0.0525038\pi\) | |||||||
\(242\) | −0.429892 | + | 0.360723i | −0.0276345 | + | 0.0231881i | ||||
\(243\) | −9.65317 | − | 8.09997i | −0.619251 | − | 0.519613i | ||||
\(244\) | −0.934945 | − | 5.30234i | −0.0598537 | − | 0.339447i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −2.10101 | −0.133956 | ||||||||
\(247\) | −20.8444 | + | 9.86830i | −1.32629 | + | 0.627905i | ||||
\(248\) | 5.51485 | 0.350193 | ||||||||
\(249\) | −1.25624 | − | 0.457236i | −0.0796112 | − | 0.0289761i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −12.4081 | − | 10.4116i | −0.783190 | − | 0.657175i | 0.160859 | − | 0.986977i | \(-0.448573\pi\) |
−0.944050 | + | 0.329802i | \(0.893018\pi\) | |||||||
\(252\) | 4.79813 | − | 4.02611i | 0.302254 | − | 0.253621i | ||||
\(253\) | −1.04189 | + | 5.90885i | −0.0655030 | + | 0.371486i | ||||
\(254\) | 0.0444153 | − | 0.0769295i | 0.00278686 | − | 0.00482699i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 15.1300 | − | 5.50687i | 0.945625 | − | 0.344179i | ||||
\(257\) | 14.4290 | − | 5.25173i | 0.900057 | − | 0.327594i | 0.149782 | − | 0.988719i | \(-0.452143\pi\) |
0.750276 | + | 0.661125i | \(0.229921\pi\) | |||||||
\(258\) | 1.12314 | + | 1.94534i | 0.0699237 | + | 0.121111i | ||||
\(259\) | −0.786989 | + | 1.36310i | −0.0489011 | + | 0.0846992i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 7.21760 | − | 6.05628i | 0.446758 | − | 0.374874i | ||||
\(262\) | 2.04576 | + | 1.71660i | 0.126387 | + | 0.106052i | ||||
\(263\) | −1.67453 | − | 9.49671i | −0.103256 | − | 0.585592i | −0.991903 | − | 0.127000i | \(-0.959465\pi\) |
0.888647 | − | 0.458592i | \(-0.151646\pi\) | |||||||
\(264\) | 4.84002 | + | 1.76162i | 0.297883 | + | 0.108420i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 6.96926 | + | 1.82391i | 0.427312 | + | 0.111831i | ||||
\(267\) | 1.21482 | 0.0743459 | ||||||||
\(268\) | −16.3824 | − | 5.96270i | −1.00071 | − | 0.364230i | ||||
\(269\) | −3.17412 | − | 18.0013i | −0.193529 | − | 1.09756i | −0.914498 | − | 0.404591i | \(-0.867414\pi\) |
0.720969 | − | 0.692968i | \(-0.243697\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 14.5273 | − | 12.1899i | 0.882473 | − | 0.740483i | −0.0842129 | − | 0.996448i | \(-0.526838\pi\) |
0.966686 | + | 0.255965i | \(0.0823932\pi\) | |||||||
\(272\) | 0.0120217 | − | 0.0681784i | 0.000728923 | − | 0.00413393i | ||||
\(273\) | 2.64543 | − | 4.58202i | 0.160109 | − | 0.277316i | ||||
\(274\) | −8.59152 | − | 14.8809i | −0.519033 | − | 0.898991i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 1.07873 | − | 0.392624i | 0.0649317 | − | 0.0236332i | ||||
\(277\) | 6.88191 | + | 11.9198i | 0.413494 | + | 0.716193i | 0.995269 | − | 0.0971571i | \(-0.0309749\pi\) |
−0.581775 | + | 0.813350i | \(0.697642\pi\) | |||||||
\(278\) | 6.76991 | − | 11.7258i | 0.406033 | − | 0.703269i | ||||
\(279\) | −0.916937 | + | 5.20021i | −0.0548956 | + | 0.311328i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 10.0437 | + | 8.42767i | 0.599157 | + | 0.502752i | 0.891175 | − | 0.453661i | \(-0.149882\pi\) |
−0.292018 | + | 0.956413i | \(0.594327\pi\) | |||||||
\(282\) | −0.0582480 | − | 0.330341i | −0.00346862 | − | 0.0196715i | ||||
\(283\) | −16.3293 | − | 5.94340i | −0.970679 | − | 0.353298i | −0.192469 | − | 0.981303i | \(-0.561650\pi\) |
−0.778209 | + | 0.628005i | \(0.783872\pi\) | |||||||
\(284\) | 16.8776 | 1.00150 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −15.8726 | −0.938565 | ||||||||
\(287\) | 7.92989 | + | 2.88624i | 0.468087 | + | 0.170370i | ||||
\(288\) | 2.65998 | + | 15.0855i | 0.156741 | + | 0.888921i | ||||
\(289\) | −10.9304 | − | 9.17166i | −0.642962 | − | 0.539509i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −0.168434 | + | 0.955234i | −0.00987375 | + | 0.0559968i | ||||
\(292\) | 4.61081 | − | 7.98617i | 0.269828 | − | 0.467355i | ||||
\(293\) | 7.80200 | + | 13.5135i | 0.455798 | + | 0.789465i | 0.998734 | − | 0.0503091i | \(-0.0160206\pi\) |
−0.542936 | + | 0.839774i | \(0.682687\pi\) | |||||||
\(294\) | 1.52481 | − | 0.554987i | 0.0889290 | − | 0.0323675i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −1.18820 | − | 2.05802i | −0.0690625 | − | 0.119620i | ||||
\(297\) | −5.18866 | + | 8.98703i | −0.301077 | + | 0.521480i | ||||
\(298\) | 0.575160 | − | 3.26189i | 0.0333181 | − | 0.188956i | ||||
\(299\) | −7.12836 | + | 5.98140i | −0.412243 | + | 0.345913i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −1.56670 | − | 8.88522i | −0.0903033 | − | 0.512136i | ||||
\(302\) | −12.0617 | − | 4.39008i | −0.694070 | − | 0.252621i | ||||
\(303\) | 4.21482 | 0.242135 | ||||||||
\(304\) | −0.128356 | + | 0.129862i | −0.00736170 | + | 0.00744807i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 3.71048 | + | 1.35051i | 0.212114 | + | 0.0772033i | ||||
\(307\) | −3.73695 | − | 21.1933i | −0.213279 | − | 1.20956i | −0.883868 | − | 0.467736i | \(-0.845070\pi\) |
0.670589 | − | 0.741829i | \(-0.266041\pi\) | |||||||
\(308\) | −6.02481 | − | 5.05542i | −0.343296 | − | 0.288059i | ||||
\(309\) | −0.00592979 | + | 0.00497568i | −0.000337334 | + | 0.000283057i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −7.24763 | + | 12.5533i | −0.410975 | + | 0.711830i | −0.994997 | − | 0.0999083i | \(-0.968145\pi\) |
0.584021 | + | 0.811738i | \(0.301478\pi\) | |||||||
\(312\) | 3.99407 | + | 6.91793i | 0.226120 | + | 0.391651i | ||||
\(313\) | 18.3414 | − | 6.67571i | 1.03672 | − | 0.377334i | 0.233081 | − | 0.972457i | \(-0.425119\pi\) |
0.803634 | + | 0.595124i | \(0.202897\pi\) | |||||||
\(314\) | 8.57310 | − | 3.12035i | 0.483808 | − | 0.176092i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −4.27079 | + | 7.39723i | −0.240251 | + | 0.416127i | ||||
\(317\) | −4.92246 | + | 27.9166i | −0.276473 | + | 1.56795i | 0.457772 | + | 0.889070i | \(0.348648\pi\) |
−0.734245 | + | 0.678885i | \(0.762464\pi\) | |||||||
\(318\) | 2.18866 | − | 1.83651i | 0.122734 | − | 0.102986i | ||||
\(319\) | −9.06283 | − | 7.60462i | −0.507421 | − | 0.425777i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 1.77719 | + | 0.646844i | 0.0991930 | + | 0.0361033i | ||||
\(322\) | 2.90673 | 0.161986 | ||||||||
\(323\) | −1.90508 | − | 6.94751i | −0.106001 | − | 0.386570i | ||||
\(324\) | −8.01279 | −0.445155 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −0.308811 | − | 1.75135i | −0.0171035 | − | 0.0969985i | ||||
\(327\) | −3.00387 | − | 2.52055i | −0.166114 | − | 0.139387i | ||||
\(328\) | −9.76011 | + | 8.18971i | −0.538912 | + | 0.452201i | ||||
\(329\) | −0.233956 | + | 1.32683i | −0.0128984 | + | 0.0731504i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 0.855037 | + | 1.48097i | 0.0469971 | + | 0.0814014i | 0.888567 | − | 0.458747i | \(-0.151702\pi\) |
−0.841570 | + | 0.540148i | \(0.818368\pi\) | |||||||
\(332\) | −2.89615 | + | 1.05411i | −0.158947 | + | 0.0578520i | ||||
\(333\) | 2.13816 | − | 0.778225i | 0.117170 | − | 0.0426465i | ||||
\(334\) | 10.2258 | + | 17.7116i | 0.559531 | + | 0.969136i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 0.00727396 | − | 0.0412527i | 0.000396827 | − | 0.00225052i | ||||
\(337\) | −19.4873 | + | 16.3518i | −1.06154 | + | 0.890737i | −0.994259 | − | 0.106997i | \(-0.965876\pi\) |
−0.0672796 | + | 0.997734i | \(0.521432\pi\) | |||||||
\(338\) | −10.1001 | − | 8.47502i | −0.549375 | − | 0.460980i | ||||
\(339\) | 0.681637 | + | 3.86576i | 0.0370215 | + | 0.209959i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 6.63041 | 0.359057 | ||||||||
\(342\) | −6.02300 | − | 8.49584i | −0.325687 | − | 0.459403i | ||||
\(343\) | −19.6732 | −1.06225 | ||||||||
\(344\) | 12.8004 | + | 4.65895i | 0.690149 | + | 0.251194i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0.604007 | + | 0.506822i | 0.0324716 | + | 0.0272469i | ||||
\(347\) | −5.90033 | + | 4.95096i | −0.316746 | + | 0.265782i | −0.787274 | − | 0.616604i | \(-0.788508\pi\) |
0.470527 | + | 0.882385i | \(0.344064\pi\) | |||||||
\(348\) | −0.393056 | + | 2.22913i | −0.0210700 | + | 0.119494i | ||||
\(349\) | −11.3785 | + | 19.7082i | −0.609078 | + | 1.05495i | 0.382315 | + | 0.924032i | \(0.375127\pi\) |
−0.991393 | + | 0.130921i | \(0.958206\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −15.1236 | + | 5.50454i | −0.807238 | + | 0.293811i | ||||
\(352\) | 18.0744 | − | 6.57856i | 0.963371 | − | 0.350638i | ||||
\(353\) | −5.72281 | − | 9.91220i | −0.304595 | − | 0.527573i | 0.672576 | − | 0.740028i | \(-0.265188\pi\) |
−0.977171 | + | 0.212454i | \(0.931854\pi\) | |||||||
\(354\) | 2.51707 | − | 4.35970i | 0.133781 | − | 0.231715i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 2.14543 | − | 1.80023i | 0.113708 | − | 0.0954120i | ||||
\(357\) | 1.26604 | + | 1.06234i | 0.0670062 | + | 0.0562249i | ||||
\(358\) | 3.25537 | + | 18.4621i | 0.172051 | + | 0.975752i | ||||
\(359\) | −9.75789 | − | 3.55158i | −0.515002 | − | 0.187445i | 0.0714274 | − | 0.997446i | \(-0.477245\pi\) |
−0.586429 | + | 0.810000i | \(0.699467\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −6.28968 | + | 17.9287i | −0.331036 | + | 0.943618i | ||||
\(362\) | 14.1575 | 0.744099 | ||||||||
\(363\) | 0.319078 | + | 0.116135i | 0.0167472 | + | 0.00609550i | ||||
\(364\) | −2.11809 | − | 12.0123i | −0.111018 | − | 0.629614i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 1.57326 | − | 1.32012i | 0.0822358 | − | 0.0690040i | ||||
\(367\) | 5.64930 | − | 32.0388i | 0.294891 | − | 1.67241i | −0.372754 | − | 0.927930i | \(-0.621586\pi\) |
0.667645 | − | 0.744480i | \(-0.267303\pi\) | |||||||
\(368\) | −0.0368366 | + | 0.0638029i | −0.00192024 | + | 0.00332596i | ||||
\(369\) | −6.09967 | − | 10.5649i | −0.317536 | − | 0.549989i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −10.7836 | + | 3.92490i | −0.559856 | + | 0.203771i | ||||
\(372\) | −0.634285 | − | 1.09861i | −0.0328862 | − | 0.0569605i | ||||
\(373\) | 15.2429 | − | 26.4014i | 0.789246 | − | 1.36701i | −0.137183 | − | 0.990546i | \(-0.543805\pi\) |
0.926429 | − | 0.376469i | \(-0.122862\pi\) | |||||||
\(374\) | 0.860967 | − | 4.88279i | 0.0445195 | − | 0.252483i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −1.55825 | − | 1.30753i | −0.0803605 | − | 0.0674305i | ||||
\(377\) | −3.18614 | − | 18.0695i | −0.164094 | − | 0.930626i | ||||
\(378\) | 4.72416 | + | 1.71945i | 0.242984 | + | 0.0884391i | ||||
\(379\) | 17.8598 | 0.917396 | 0.458698 | − | 0.888592i | \(-0.348316\pi\) | ||||
0.458698 | + | 0.888592i | \(0.348316\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −0.0537486 | −0.00275363 | ||||||||
\(382\) | 15.6582 | + | 5.69913i | 0.801144 | + | 0.291593i | ||||
\(383\) | 4.07310 | + | 23.0997i | 0.208126 | + | 1.18034i | 0.892445 | + | 0.451157i | \(0.148988\pi\) |
−0.684319 | + | 0.729183i | \(0.739900\pi\) | |||||||
\(384\) | −2.78905 | − | 2.34029i | −0.142328 | − | 0.119427i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 1.97013 | − | 11.1732i | 0.100277 | − | 0.568700i | ||||
\(387\) | −6.52141 | + | 11.2954i | −0.331502 | + | 0.574178i | ||||
\(388\) | 1.11809 | + | 1.93659i | 0.0567623 | + | 0.0983153i | ||||
\(389\) | −3.67365 | + | 1.33710i | −0.186261 | + | 0.0677936i | −0.433467 | − | 0.901169i | \(-0.642710\pi\) |
0.247206 | + | 0.968963i | \(0.420488\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −1.45336 | − | 2.51730i | −0.0734997 | − | 0.127305i | ||||
\(392\) | 4.92009 | − | 8.52185i | 0.248502 | − | 0.430418i | ||||
\(393\) | 0.280592 | − | 1.59132i | 0.0141540 | − | 0.0802714i | ||||
\(394\) | −15.6288 | + | 13.1141i | −0.787369 | + | 0.660681i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 1.97431 | + | 11.1969i | 0.0992127 | + | 0.562663i | ||||
\(397\) | 8.41875 | + | 3.06417i | 0.422525 | + | 0.153786i | 0.544527 | − | 0.838743i | \(-0.316709\pi\) |
−0.122002 | + | 0.992530i | \(0.538931\pi\) | |||||||
\(398\) | −8.10936 | −0.406486 | ||||||||
\(399\) | −1.15270 | − | 4.20372i | −0.0577074 | − | 0.210449i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 1.90508 | + | 0.693392i | 0.0951350 | + | 0.0346263i | 0.389149 | − | 0.921175i | \(-0.372769\pi\) |
−0.294014 | + | 0.955801i | \(0.594991\pi\) | |||||||
\(402\) | −1.15476 | − | 6.54899i | −0.0575943 | − | 0.326634i | ||||
\(403\) | 7.87733 | + | 6.60986i | 0.392398 | + | 0.329261i | ||||
\(404\) | 7.44356 | − | 6.24589i | 0.370331 | − | 0.310745i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −2.86571 | + | 4.96356i | −0.142223 | + | 0.246338i | ||||
\(407\) | −1.42855 | − | 2.47432i | −0.0708105 | − | 0.122647i | ||||
\(408\) | −2.34477 | + | 0.853427i | −0.116083 | + | 0.0422509i | ||||
\(409\) | 30.2656 | − | 11.0158i | 1.49654 | − | 0.544696i | 0.541377 | − | 0.840780i | \(-0.317903\pi\) |
0.955162 | + | 0.296084i | \(0.0956808\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −5.19846 | + | 9.00400i | −0.256421 | + | 0.444135i | ||||
\(412\) | −0.00309887 | + | 0.0175745i | −0.000152670 | + | 0.000865836i | ||||
\(413\) | −15.4893 | + | 12.9971i | −0.762180 | + | 0.639545i | ||||
\(414\) | −3.21894 | − | 2.70101i | −0.158202 | − | 0.132747i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 28.0317 | + | 10.2027i | 1.37437 | + | 0.500228i | ||||
\(417\) | −8.19253 | −0.401190 | ||||||||
\(418\) | −9.19253 | + | 9.30039i | −0.449622 | + | 0.454897i | ||||
\(419\) | −23.2499 | −1.13583 | −0.567916 | − | 0.823086i | \(-0.692250\pi\) | ||||
−0.567916 | + | 0.823086i | \(0.692250\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 1.12061 | + | 6.35532i | 0.0546154 | + | 0.309739i | 0.999862 | − | 0.0166178i | \(-0.00528986\pi\) |
−0.945246 | + | 0.326357i | \(0.894179\pi\) | |||||||
\(422\) | −9.85117 | − | 8.26611i | −0.479547 | − | 0.402388i | ||||
\(423\) | 1.49201 | − | 1.25195i | 0.0725440 | − | 0.0608717i | ||||
\(424\) | 3.00862 | − | 17.0627i | 0.146111 | − | 0.828639i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 3.21894 | + | 5.57537i | 0.155958 | + | 0.270128i | ||||
\(427\) | −7.75150 | + | 2.82131i | −0.375121 | + | 0.136533i | ||||
\(428\) | 4.09714 | − | 1.49124i | 0.198043 | − | 0.0720817i | ||||
\(429\) | 4.80200 | + | 8.31731i | 0.231843 | + | 0.401564i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −2.43061 | + | 13.7847i | −0.117078 | + | 0.663984i | 0.868622 | + | 0.495475i | \(0.165006\pi\) |
−0.985700 | + | 0.168508i | \(0.946105\pi\) | |||||||
\(432\) | −0.0976108 | + | 0.0819052i | −0.00469630 | + | 0.00394067i | ||||
\(433\) | 21.9800 | + | 18.4434i | 1.05629 | + | 0.886333i | 0.993741 | − | 0.111709i | \(-0.0356323\pi\) |
0.0625499 | + | 0.998042i | \(0.480077\pi\) | |||||||
\(434\) | −0.557781 | − | 3.16333i | −0.0267744 | − | 0.151845i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −9.04013 | −0.432944 | ||||||||
\(437\) | −0.623608 | + | 7.64090i | −0.0298312 | + | 0.365514i | ||||
\(438\) | 3.51754 | 0.168075 | ||||||||
\(439\) | 12.5376 | + | 4.56332i | 0.598387 | + | 0.217795i | 0.623414 | − | 0.781892i | \(-0.285745\pi\) |
−0.0250271 | + | 0.999687i | \(0.507967\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 7.21760 | + | 6.05628i | 0.343695 | + | 0.288394i | ||||
\(442\) | 5.89053 | − | 4.94274i | 0.280184 | − | 0.235102i | ||||
\(443\) | −5.88372 | + | 33.3682i | −0.279544 | + | 1.58537i | 0.444603 | + | 0.895728i | \(0.353345\pi\) |
−0.724147 | + | 0.689646i | \(0.757766\pi\) | |||||||
\(444\) | −0.273318 | + | 0.473401i | −0.0129711 | + | 0.0224666i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 2.49108 | − | 0.906678i | 0.117956 | − | 0.0429324i | ||||
\(447\) | −1.88326 | + | 0.685449i | −0.0890749 | + | 0.0324206i | ||||
\(448\) | −4.73783 | − | 8.20616i | −0.223841 | − | 0.387704i | ||||
\(449\) | −9.42009 | + | 16.3161i | −0.444562 | + | 0.770003i | −0.998022 | − | 0.0628725i | \(-0.979974\pi\) |
0.553460 | + | 0.832876i | \(0.313307\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −11.7344 | + | 9.84635i | −0.552552 | + | 0.463646i | ||||
\(452\) | 6.93242 | + | 5.81699i | 0.326074 | + | 0.273608i | ||||
\(453\) | 1.34864 | + | 7.64852i | 0.0633647 | + | 0.359359i | ||||
\(454\) | 11.3391 | + | 4.12711i | 0.532172 | + | 0.193695i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 6.36665 | + | 1.66620i | 0.298146 | + | 0.0780270i | ||||
\(457\) | −14.2790 | −0.667943 | −0.333972 | − | 0.942583i | \(-0.608389\pi\) | ||||
−0.333972 | + | 0.942583i | \(0.608389\pi\) | |||||||
\(458\) | 7.77941 | + | 2.83147i | 0.363508 | + | 0.132306i | ||||
\(459\) | −0.872989 | − | 4.95096i | −0.0407476 | − | 0.231091i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −10.6695 | + | 8.95280i | −0.496930 | + | 0.416973i | −0.856502 | − | 0.516144i | \(-0.827367\pi\) |
0.359572 | + | 0.933117i | \(0.382923\pi\) | |||||||
\(462\) | 0.520945 | − | 2.95442i | 0.0242365 | − | 0.137452i | ||||
\(463\) | −0.881445 | + | 1.52671i | −0.0409642 | + | 0.0709521i | −0.885781 | − | 0.464104i | \(-0.846376\pi\) |
0.844816 | + | 0.535056i | \(0.179710\pi\) | |||||||
\(464\) | −0.0726338 | − | 0.125805i | −0.00337194 | − | 0.00584037i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 19.9859 | − | 7.27428i | 0.925830 | − | 0.336974i | ||||
\(467\) | 11.0209 | + | 19.0888i | 0.509988 | + | 0.883326i | 0.999933 | + | 0.0115724i | \(0.00368368\pi\) |
−0.489945 | + | 0.871754i | \(0.662983\pi\) | |||||||
\(468\) | −8.81655 | + | 15.2707i | −0.407545 | + | 0.705889i | ||||
\(469\) | −4.63816 | + | 26.3043i | −0.214170 | + | 1.21462i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −4.22874 | − | 3.54834i | −0.194850 | − | 0.163499i | ||||
\(472\) | −5.30113 | − | 30.0642i | −0.244004 | − | 1.38382i | ||||
\(473\) | 15.3897 | + | 5.60138i | 0.707617 | + | 0.257552i | ||||
\(474\) | −3.25814 | −0.149651 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 3.81016 | 0.174638 | ||||||||
\(477\) | 15.5890 | + | 5.67393i | 0.713771 | + | 0.259791i | ||||
\(478\) | 3.56196 | + | 20.2009i | 0.162920 | + | 0.923966i | ||||
\(479\) | −19.5012 | − | 16.3634i | −0.891032 | − | 0.747664i | 0.0773851 | − | 0.997001i | \(-0.475343\pi\) |
−0.968417 | + | 0.249337i | \(0.919787\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0.769448 | − | 4.36376i | 0.0350838 | − | 0.198970i | ||||
\(482\) | 0.130882 | − | 0.226694i | 0.00596150 | − | 0.0103256i | ||||
\(483\) | −0.879385 | − | 1.52314i | −0.0400134 | − | 0.0693053i | ||||
\(484\) | 0.735604 | − | 0.267738i | 0.0334366 | − | 0.0121699i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −5.54071 | − | 9.59679i | −0.251332 | − | 0.435319i | ||||
\(487\) | −11.2554 | + | 19.4949i | −0.510029 | + | 0.883397i | 0.489903 | + | 0.871777i | \(0.337032\pi\) |
−0.999932 | + | 0.0116199i | \(0.996301\pi\) | |||||||
\(488\) | 2.16267 | − | 12.2651i | 0.0978993 | − | 0.555214i | ||||
\(489\) | −0.824292 | + | 0.691663i | −0.0372758 | + | 0.0312781i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 2.71482 | + | 15.3965i | 0.122518 | + | 0.694835i | 0.982751 | + | 0.184934i | \(0.0592071\pi\) |
−0.860233 | + | 0.509902i | \(0.829682\pi\) | |||||||
\(492\) | 2.75402 | + | 1.00238i | 0.124161 | + | 0.0451909i | ||||
\(493\) | 5.73143 | 0.258131 | ||||||||
\(494\) | −20.1928 | + | 1.88538i | −0.908519 | + | 0.0848274i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0.0765042 | + | 0.0278452i | 0.00343514 | + | 0.00125029i | ||||
\(497\) | −4.49020 | − | 25.4652i | −0.201413 | − | 1.14227i | ||||
\(498\) | −0.900578 | − | 0.755675i | −0.0403559 | − | 0.0338626i | ||||
\(499\) | −21.9217 | + | 18.3945i | −0.981352 | + | 0.823452i | −0.984293 | − | 0.176544i | \(-0.943508\pi\) |
0.00294090 | + | 0.999996i | \(0.499064\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 6.18732 | − | 10.7168i | 0.276429 | − | 0.478789i | ||||
\(502\) | −7.12196 | − | 12.3356i | −0.317869 | − | 0.550565i | ||||
\(503\) | −23.5351 | + | 8.56607i | −1.04938 | + | 0.381942i | −0.808428 | − | 0.588595i | \(-0.799681\pi\) |
−0.240950 | + | 0.970538i | \(0.577459\pi\) | |||||||
\(504\) | 13.6147 | − | 4.95534i | 0.606446 | − | 0.220728i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −2.63816 | + | 4.56942i | −0.117280 | + | 0.203135i | ||||
\(507\) | −1.38532 | + | 7.85651i | −0.0615240 | + | 0.348920i | ||||
\(508\) | −0.0949225 | + | 0.0796494i | −0.00421150 | + | 0.00353387i | ||||
\(509\) | 25.6787 | + | 21.5470i | 1.13819 | + | 0.955053i | 0.999378 | − | 0.0352655i | \(-0.0112277\pi\) |
0.138810 | + | 0.990319i | \(0.455672\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −13.2763 | − | 4.83218i | −0.587309 | − | 0.213763i | ||||
\(512\) | 0.473897 | 0.0209435 | ||||||||
\(513\) | −5.53343 | + | 12.0495i | −0.244307 | + | 0.531997i | ||||
\(514\) | 13.5030 | 0.595591 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −0.544111 | − | 3.08580i | −0.0239531 | − | 0.135845i | ||||
\(517\) | −1.87346 | − | 1.57202i | −0.0823945 | − | 0.0691372i | ||||
\(518\) | −1.06031 | + | 0.889704i | −0.0465872 | + | 0.0390913i | ||||
\(519\) | 0.0828445 | − | 0.469834i | 0.00363647 | − | 0.0206234i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 13.7392 | + | 23.7969i | 0.601924 | + | 1.04256i | 0.992530 | + | 0.122005i | \(0.0389323\pi\) |
−0.390606 | + | 0.920558i | \(0.627734\pi\) | |||||||
\(522\) | 7.78581 | − | 2.83380i | 0.340776 | − | 0.124032i | ||||
\(523\) | −9.73277 | + | 3.54244i | −0.425584 | + | 0.154900i | −0.545928 | − | 0.837832i | \(-0.683823\pi\) |
0.120343 | + | 0.992732i | \(0.461600\pi\) | |||||||
\(524\) | −1.86262 | − | 3.22615i | −0.0813687 | − | 0.140935i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 1.47255 | − | 8.35126i | 0.0642064 | − | 0.364132i | ||||
\(527\) | −2.46064 | + | 2.06472i | −0.107187 | + | 0.0899406i | ||||
\(528\) | 0.0582480 | + | 0.0488759i | 0.00253492 | + | 0.00212705i | ||||
\(529\) | −3.45677 | − | 19.6043i | −0.150294 | − | 0.852361i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 29.2303 | 1.26849 | ||||||||
\(532\) | −8.26517 | − | 5.71578i | −0.358340 | − | 0.247811i | ||||
\(533\) | −23.7570 | −1.02903 | ||||||||
\(534\) | 1.00387 | + | 0.365379i | 0.0434417 | + | 0.0158115i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −30.8922 | − | 25.9216i | −1.33434 | − | 1.11964i | ||||
\(537\) | 8.68938 | − | 7.29125i | 0.374974 | − | 0.314641i | ||||
\(538\) | 2.79127 | − | 15.8301i | 0.120340 | − | 0.682483i | ||||
\(539\) | 5.91534 | − | 10.2457i | 0.254792 | − | 0.441313i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −2.37211 | + | 0.863378i | −0.101985 | + | 0.0371195i | −0.392509 | − | 0.919748i | \(-0.628393\pi\) |
0.290524 | + | 0.956868i | \(0.406170\pi\) | |||||||
\(542\) | 15.6710 | − | 5.70378i | 0.673128 | − | 0.244998i | ||||
\(543\) | −4.28312 | − | 7.41858i | −0.183806 | − | 0.318362i | ||||
\(544\) | −4.65910 | + | 8.06980i | −0.199757 | + | 0.345990i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 3.56418 | − | 2.99070i | 0.152533 | − | 0.127990i | ||||
\(547\) | −5.87939 | − | 4.93339i | −0.251384 | − | 0.210937i | 0.508384 | − | 0.861131i | \(-0.330243\pi\) |
−0.759768 | + | 0.650194i | \(0.774688\pi\) | |||||||
\(548\) | 4.16220 | + | 23.6050i | 0.177800 | + | 1.00836i | ||||
\(549\) | 11.2057 | + | 4.07855i | 0.478249 | + | 0.174068i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −12.4329 | − | 8.59797i | −0.529659 | − | 0.366286i | ||||
\(552\) | 2.65539 | 0.113021 | ||||||||
\(553\) | 12.2973 | + | 4.47584i | 0.522933 | + | 0.190332i | ||||
\(554\) | 2.10179 | + | 11.9198i | 0.0892963 | + | 0.506425i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −14.4684 | + | 12.1404i | −0.613596 | + | 0.514868i | ||||
\(557\) | −0.565360 | + | 3.20631i | −0.0239551 | + | 0.135856i | −0.994440 | − | 0.105307i | \(-0.966418\pi\) |
0.970485 | + | 0.241163i | \(0.0775287\pi\) | |||||||
\(558\) | −2.32177 | + | 4.02142i | −0.0982882 | + | 0.170240i | ||||
\(559\) | 12.6998 | + | 21.9967i | 0.537145 | + | 0.930362i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −2.81908 | + | 1.02606i | −0.119022 | + | 0.0433203i | ||||
\(562\) | 5.76486 | + | 9.98503i | 0.243176 | + | 0.421193i | ||||
\(563\) | 2.62954 | − | 4.55449i | 0.110822 | − | 0.191949i | −0.805280 | − | 0.592895i | \(-0.797985\pi\) |
0.916102 | + | 0.400946i | \(0.131318\pi\) | |||||||
\(564\) | −0.0812519 | + | 0.460802i | −0.00342132 | + | 0.0194033i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −11.7062 | − | 9.82267i | −0.492048 | − | 0.412878i | ||||
\(567\) | 2.13176 | + | 12.0898i | 0.0895255 | + | 0.507724i | ||||
\(568\) | 36.6860 | + | 13.3526i | 1.53931 | + | 0.560264i | ||||
\(569\) | −29.9564 | −1.25584 | −0.627918 | − | 0.778280i | \(-0.716093\pi\) | ||||
−0.627918 | + | 0.778280i | \(0.716093\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −16.7101 | −0.699295 | −0.349647 | − | 0.936881i | \(-0.613699\pi\) | ||||
−0.349647 | + | 0.936881i | \(0.613699\pi\) | |||||||
\(572\) | 20.8059 | + | 7.57272i | 0.869937 | + | 0.316631i | ||||
\(573\) | −1.75078 | − | 9.92917i | −0.0731399 | − | 0.414797i | ||||
\(574\) | 5.68479 | + | 4.77011i | 0.237279 | + | 0.199100i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −2.37867 | + | 13.4901i | −0.0991113 | + | 0.562088i | ||||
\(577\) | −6.84002 | + | 11.8473i | −0.284754 | + | 0.493208i | −0.972549 | − | 0.232696i | \(-0.925245\pi\) |
0.687796 | + | 0.725904i | \(0.258579\pi\) | |||||||
\(578\) | −6.27379 | − | 10.8665i | −0.260955 | − | 0.451987i | ||||
\(579\) | −6.45084 | + | 2.34791i | −0.268088 | + | 0.0975759i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 2.36097 | + | 4.08931i | 0.0979494 | + | 0.169653i | ||||
\(582\) | −0.426489 | + | 0.738700i | −0.0176785 | + | 0.0306201i | ||||
\(583\) | 3.61721 | − | 20.5142i | 0.149810 | − | 0.849612i | ||||
\(584\) | 16.3405 | − | 13.7113i | 0.676174 | − | 0.567378i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 2.38279 | + | 13.5135i | 0.0984321 | + | 0.558236i | ||||
\(587\) | −22.5872 | − | 8.22108i | −0.932275 | − | 0.339320i | −0.169164 | − | 0.985588i | \(-0.554107\pi\) |
−0.763111 | + | 0.646268i | \(0.776329\pi\) | |||||||
\(588\) | −2.26352 | −0.0933459 | ||||||||
\(589\) | 8.43511 | − | 0.787576i | 0.347563 | − | 0.0324515i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 11.6001 | + | 4.22210i | 0.477166 | + | 0.173674i | ||||
\(592\) | −0.00609191 | − | 0.0345490i | −0.000250376 | − | 0.00141995i | ||||
\(593\) | 3.24897 | + | 2.72621i | 0.133419 | + | 0.111952i | 0.707055 | − | 0.707158i | \(-0.250023\pi\) |
−0.573636 | + | 0.819110i | \(0.694468\pi\) | |||||||
\(594\) | −6.99067 | + | 5.86587i | −0.286831 | + | 0.240679i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −2.31016 | + | 4.00131i | −0.0946276 | + | 0.163900i | ||||
\(597\) | 2.45336 | + | 4.24935i | 0.100409 | + | 0.173914i | ||||
\(598\) | −7.68954 | + | 2.79876i | −0.314449 | + | 0.114450i | ||||
\(599\) | 24.6894 | − | 8.98622i | 1.00878 | − | 0.367167i | 0.215818 | − | 0.976434i | \(-0.430758\pi\) |
0.792965 | + | 0.609267i | \(0.208536\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 21.1197 | − | 36.5805i | 0.861492 | − | 1.49215i | −0.00899659 | − | 0.999960i | \(-0.502864\pi\) |
0.870489 | − | 0.492188i | \(-0.163803\pi\) | |||||||
\(602\) | 1.37774 | − | 7.81353i | 0.0561523 | − | 0.318456i | ||||
\(603\) | 29.5790 | − | 24.8198i | 1.20455 | − | 1.01074i | ||||
\(604\) | 13.7160 | + | 11.5091i | 0.558096 | + | 0.468298i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 3.48293 | + | 1.26768i | 0.141484 | + | 0.0514960i | ||||
\(607\) | 22.0969 | 0.896885 | 0.448443 | − | 0.893812i | \(-0.351979\pi\) | ||||
0.448443 | + | 0.893812i | \(0.351979\pi\) | |||||||
\(608\) | 22.2126 | − | 10.5161i | 0.900840 | − | 0.426483i | ||||
\(609\) | 3.46791 | 0.140527 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −0.658633 | − | 3.73530i | −0.0266455 | − | 0.151114i | ||||
\(612\) | −4.21941 | − | 3.54050i | −0.170559 | − | 0.143116i | ||||
\(613\) | −5.49794 | + | 4.61332i | −0.222060 | + | 0.186330i | −0.747030 | − | 0.664790i | \(-0.768521\pi\) |
0.524970 | + | 0.851121i | \(0.324076\pi\) | |||||||
\(614\) | 3.28622 | − | 18.6371i | 0.132621 | − | 0.752131i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −9.09627 | − | 15.7552i | −0.366499 | − | 0.634795i | ||||
\(617\) | −46.3953 | + | 16.8865i | −1.86781 | + | 0.679826i | −0.895995 | + | 0.444065i | \(0.853536\pi\) |
−0.971811 | + | 0.235761i | \(0.924242\pi\) | |||||||
\(618\) | −0.00639661 | + | 0.00232818i | −0.000257310 | + | 9.36530e-5i | ||||
\(619\) | −13.2490 | − | 22.9479i | −0.532521 | − | 0.922354i | −0.999279 | − | 0.0379684i | \(-0.987911\pi\) |
0.466758 | − | 0.884385i | \(-0.345422\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −0.929015 | + | 5.26871i | −0.0372801 | + | 0.211426i | ||||
\(622\) | −9.76470 | + | 8.19356i | −0.391529 | + | 0.328532i | ||||
\(623\) | −3.28699 | − | 2.75811i | −0.131690 | − | 0.110501i | ||||
\(624\) | 0.0204777 | + | 0.116135i | 0.000819764 | + | 0.00464911i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 17.1643 | 0.686022 | ||||||||
\(627\) | 7.65451 | + | 2.00324i | 0.305692 | + | 0.0800019i | ||||
\(628\) | −12.7264 | −0.507838 | ||||||||
\(629\) | 1.30066 | + | 0.473401i | 0.0518607 | + | 0.0188757i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 25.5253 | + | 21.4183i | 1.01615 | + | 0.852647i | 0.989138 | − | 0.146988i | \(-0.0469579\pi\) |
0.0270071 | + | 0.999635i | \(0.491402\pi\) | |||||||
\(632\) | −15.1355 | + | 12.7002i | −0.602057 | + | 0.505185i | ||||
\(633\) | −1.35117 | + | 7.66285i | −0.0537041 | + | 0.304571i | ||||
\(634\) | −12.4641 | + | 21.5884i | −0.495013 | + | 0.857387i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −3.74510 | + | 1.36310i | −0.148503 | + | 0.0540506i | ||||
\(637\) | 17.2417 | − | 6.27546i | 0.683141 | − | 0.248643i | ||||
\(638\) | −5.20187 | − | 9.00990i | −0.205944 | − | 0.356705i | ||||
\(639\) | −18.6905 | + | 32.3729i | −0.739384 | + | 1.28065i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −0.104256 | + | 0.0874810i | −0.00411786 | + | 0.00345529i | −0.644844 | − | 0.764314i | \(-0.723078\pi\) |
0.640726 | + | 0.767769i | \(0.278633\pi\) | |||||||
\(642\) | 1.27403 | + | 1.06904i | 0.0502821 | + | 0.0421917i | ||||
\(643\) | −8.36602 | − | 47.4461i | −0.329924 | − | 1.87109i | −0.472536 | − | 0.881311i | \(-0.656661\pi\) |
0.142613 | − | 0.989779i | \(-0.454450\pi\) | |||||||
\(644\) | −3.81016 | − | 1.38678i | −0.150141 | − | 0.0546469i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0.515319 | − | 6.31407i | 0.0202750 | − | 0.248424i | ||||
\(647\) | 36.9718 | 1.45351 | 0.726756 | − | 0.686895i | \(-0.241027\pi\) | ||||
0.726756 | + | 0.686895i | \(0.241027\pi\) | |||||||
\(648\) | −17.4170 | − | 6.33927i | −0.684204 | − | 0.249030i | ||||
\(649\) | −6.37346 | − | 36.1457i | −0.250180 | − | 1.41884i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −1.48886 | + | 1.24930i | −0.0583529 | + | 0.0489639i | ||||
\(652\) | −0.430770 | + | 2.44302i | −0.0168702 | + | 0.0956759i | ||||
\(653\) | 13.5000 | − | 23.3827i | 0.528296 | − | 0.915035i | −0.471160 | − | 0.882048i | \(-0.656165\pi\) |
0.999456 | − | 0.0329874i | \(-0.0105021\pi\) | |||||||
\(654\) | −1.72416 | − | 2.98632i | −0.0674198 | − | 0.116775i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −0.176747 | + | 0.0643307i | −0.00690081 | + | 0.00251169i | ||||
\(657\) | 10.2121 | + | 17.6879i | 0.398413 | + | 0.690072i | ||||
\(658\) | −0.592396 | + | 1.02606i | −0.0230940 | + | 0.0400000i | ||||
\(659\) | 3.27760 | − | 18.5882i | 0.127677 | − | 0.724093i | −0.852005 | − | 0.523534i | \(-0.824613\pi\) |
0.979682 | − | 0.200559i | \(-0.0642757\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −23.4500 | − | 19.6769i | −0.912098 | − | 0.765341i | 0.0604192 | − | 0.998173i | \(-0.480756\pi\) |
−0.972517 | + | 0.232832i | \(0.925201\pi\) | |||||||
\(662\) | 0.261135 | + | 1.48097i | 0.0101493 | + | 0.0575594i | ||||
\(663\) | −4.37211 | − | 1.59132i | −0.169799 | − | 0.0618017i | ||||
\(664\) | −7.12918 | −0.276666 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 2.00093 | 0.0775346 | ||||||||
\(667\) | −5.73143 | − | 2.08607i | −0.221922 | − | 0.0807729i | ||||
\(668\) | −4.95394 | − | 28.0952i | −0.191674 | − | 1.08703i | ||||
\(669\) | −1.22874 | − | 1.03104i | −0.0475059 | − | 0.0398622i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 2.60014 | − | 14.7461i | 0.100377 | − | 0.569267i | ||||
\(672\) | −2.81908 | + | 4.88279i | −0.108748 | + | 0.188358i | ||||
\(673\) | 5.95471 | + | 10.3139i | 0.229537 | + | 0.397570i | 0.957671 | − | 0.287865i | \(-0.0929454\pi\) |
−0.728134 | + | 0.685435i | \(0.759612\pi\) | |||||||
\(674\) | −21.0214 | + | 7.65117i | −0.809715 | + | 0.294712i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 9.19594 | + | 15.9278i | 0.353690 | + | 0.612609i | ||||
\(677\) | 2.89053 | − | 5.00654i | 0.111092 | − | 0.192417i | −0.805119 | − | 0.593114i | \(-0.797898\pi\) |
0.916211 | + | 0.400696i | \(0.131232\pi\) | |||||||
\(678\) | −0.599422 | + | 3.39949i | −0.0230207 | + | 0.130557i | ||||
\(679\) | 2.62449 | − | 2.20220i | 0.100718 | − | 0.0845129i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −1.26786 | − | 7.19037i | −0.0485843 | − | 0.275535i | ||||
\(682\) | 5.47906 | + | 1.99421i | 0.209804 | + | 0.0763624i | ||||
\(683\) | −21.0496 | −0.805442 | −0.402721 | − | 0.915323i | \(-0.631935\pi\) | ||||
−0.402721 | + | 0.915323i | \(0.631935\pi\) | |||||||
\(684\) | 3.84167 | + | 14.0099i | 0.146890 | + | 0.535684i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −16.2570 | − | 5.91707i | −0.620696 | − | 0.225915i | ||||
\(687\) | −0.869833 | − | 4.93307i | −0.0331862 | − | 0.188208i | ||||
\(688\) | 0.154048 | + | 0.129261i | 0.00587302 | + | 0.00492805i | ||||
\(689\) | 24.7481 | − | 20.7661i | 0.942827 | − | 0.791126i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 16.4688 | − | 28.5249i | 0.626504 | − | 1.08514i | −0.361744 | − | 0.932278i | \(-0.617818\pi\) |
0.988248 | − | 0.152860i | \(-0.0488483\pi\) | |||||||
\(692\) | −0.549935 | − | 0.952515i | −0.0209054 | − | 0.0362092i | ||||
\(693\) | 16.3687 | − | 5.95772i | 0.621796 | − | 0.226315i | ||||
\(694\) | −6.36484 | + | 2.31661i | −0.241606 | + | 0.0879374i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | −2.61793 | + | 4.53438i | −0.0992322 | + | 0.171875i | ||||
\(697\) | 1.28864 | − | 7.30823i | 0.0488106 | − | 0.276819i | ||||
\(698\) | −15.3302 | + | 12.8636i | −0.580257 | + | 0.486894i | ||||
\(699\) | −9.85819 | − | 8.27201i | −0.372871 | − | 0.312876i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −20.0694 | − | 7.30466i | −0.758010 | − | 0.275893i | −0.0660380 | − | 0.997817i | \(-0.521036\pi\) |
−0.691973 | + | 0.721924i | \(0.743258\pi\) | |||||||
\(702\) | −14.1530 | −0.534171 | ||||||||
\(703\) | −2.11128 | − | 2.97810i | −0.0796285 | − | 0.112321i | ||||
\(704\) | 17.2003 | 0.648260 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −1.74779 | − | 9.91220i | −0.0657789 | − | 0.373051i | ||||
\(707\) | −11.4042 | − | 9.56926i | −0.428899 | − | 0.359889i | ||||
\(708\) | −5.37939 | + | 4.51384i | −0.202170 | + | 0.169641i | ||||
\(709\) | −2.73854 | + | 15.5310i | −0.102848 | + | 0.583280i | 0.889210 | + | 0.457499i | \(0.151255\pi\) |
−0.992058 | + | 0.125781i | \(0.959856\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −9.45904 | − | 16.3835i | −0.354742 | − | 0.614431i | ||||
\(712\) | 6.08765 | − | 2.21572i | 0.228144 | − | 0.0830377i | ||||
\(713\) | 3.21213 | − | 1.16912i | 0.120295 | − | 0.0437839i | ||||
\(714\) | 0.726682 | + | 1.25865i | 0.0271954 | + | 0.0471038i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 4.54101 | − | 25.7534i | 0.169706 | − | 0.962448i | ||||
\(717\) | 9.50774 | − | 7.97794i | 0.355073 | − | 0.297942i | ||||
\(718\) | −6.99525 | − | 5.86971i | −0.261060 | − | 0.219056i | ||||
\(719\) | −6.13470 | − | 34.7916i | −0.228786 | − | 1.29751i | −0.855314 | − | 0.518109i | \(-0.826636\pi\) |
0.626529 | − | 0.779398i | \(-0.284475\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0.0273411 | 0.00101824 | ||||||||
\(722\) | −10.5899 | + | 12.9237i | −0.394114 | + | 0.480971i | ||||
\(723\) | −0.158385 | −0.00589040 | ||||||||
\(724\) | −18.5577 | − | 6.75444i | −0.689691 | − | 0.251027i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 0.228741 | + | 0.191936i | 0.00848937 | + | 0.00712343i | ||||
\(727\) | −30.9647 | + | 25.9825i | −1.14842 | + | 0.963637i | −0.999681 | − | 0.0252396i | \(-0.991965\pi\) |
−0.148737 | + | 0.988877i | \(0.547521\pi\) | |||||||
\(728\) | 4.89945 | − | 27.7862i | 0.181586 | − | 1.02982i | ||||
\(729\) | 6.44562 | − | 11.1641i | 0.238727 | − | 0.413487i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −7.45558 | + | 2.71361i | −0.275755 | + | 0.100367i | ||||
\(732\) | −2.69207 | + | 0.979832i | −0.0995016 | + | 0.0362156i | ||||
\(733\) | −18.1382 | − | 31.4162i | −0.669948 | − | 1.16038i | −0.977918 | − | 0.208988i | \(-0.932983\pi\) |
0.307970 | − | 0.951396i | \(-0.400350\pi\) | |||||||
\(734\) | 14.3045 | − | 24.7762i | 0.527990 | − | 0.914505i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 7.59627 | − | 6.37402i | 0.280002 | − | 0.234950i | ||||
\(737\) | −37.1411 | − | 31.1651i | −1.36811 | − | 1.14798i | ||||
\(738\) | −1.86288 | − | 10.5649i | −0.0685737 | − | 0.388901i | ||||
\(739\) | 19.4290 | + | 7.07158i | 0.714708 | + | 0.260132i | 0.673677 | − | 0.739026i | \(-0.264714\pi\) |
0.0410304 | + | 0.999158i | \(0.486936\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 7.09698 | + | 10.0108i | 0.260714 | + | 0.367754i | ||||
\(742\) | −10.0915 | −0.370471 | ||||||||
\(743\) | 6.29978 | + | 2.29293i | 0.231117 | + | 0.0841196i | 0.454982 | − | 0.890500i | \(-0.349646\pi\) |
−0.223866 | + | 0.974620i | \(0.571868\pi\) | |||||||
\(744\) | −0.509552 | − | 2.88981i | −0.0186811 | − | 0.105946i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 20.5367 | − | 17.2323i | 0.751901 | − | 0.630920i | ||||
\(747\) | 1.18535 | − | 6.72243i | 0.0433695 | − | 0.245961i | ||||
\(748\) | −3.45811 | + | 5.98962i | −0.126441 | + | 0.219002i | ||||
\(749\) | −3.34002 | − | 5.78509i | −0.122042 | − | 0.211383i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −10.0617 | + | 3.66214i | −0.367155 | + | 0.133633i | −0.519007 | − | 0.854770i | \(-0.673698\pi\) |
0.151853 | + | 0.988403i | \(0.451476\pi\) | |||||||
\(752\) | −0.0150147 | − | 0.0260063i | −0.000547531 | − | 0.000948352i | ||||
\(753\) | −4.30928 | + | 7.46389i | −0.157039 | + | 0.271999i | ||||
\(754\) | 2.80184 | − | 15.8900i | 0.102037 | − | 0.578681i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −5.37211 | − | 4.50774i | −0.195382 | − | 0.163945i | ||||
\(757\) | 0.705432 | + | 4.00071i | 0.0256394 | + | 0.145408i | 0.994940 | − | 0.100470i | \(-0.0320347\pi\) |
−0.969301 | + | 0.245878i | \(0.920924\pi\) | |||||||
\(758\) | 14.7585 | + | 5.37164i | 0.536052 | + | 0.195107i | ||||
\(759\) | 3.19253 | 0.115882 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −11.0077 | −0.399030 | −0.199515 | − | 0.979895i | \(-0.563937\pi\) | ||||
−0.199515 | + | 0.979895i | \(0.563937\pi\) | |||||||
\(762\) | −0.0444153 | − | 0.0161658i | −0.00160900 | − | 0.000585627i | ||||
\(763\) | 2.40508 | + | 13.6399i | 0.0870697 | + | 0.493797i | ||||
\(764\) | −17.8059 | − | 14.9409i | −0.644194 | − | 0.540543i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −3.58182 | + | 20.3135i | −0.129417 | + | 0.733958i | ||||
\(767\) | 28.4616 | − | 49.2969i | 1.02769 | − | 1.78001i | ||||
\(768\) | −4.28359 | − | 7.41939i | −0.154571 | − | 0.267724i | ||||
\(769\) | −20.0599 | + | 7.30121i | −0.723378 | + | 0.263288i | −0.677359 | − | 0.735652i | \(-0.736876\pi\) |
−0.0460191 | + | 0.998941i | \(0.514654\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −4.08512 | − | 7.07564i | −0.147122 | − | 0.254823i | ||||
\(772\) | −7.91312 | + | 13.7059i | −0.284800 | + | 0.493287i | ||||
\(773\) | −3.11128 | + | 17.6450i | −0.111905 | + | 0.634645i | 0.876331 | + | 0.481709i | \(0.159984\pi\) |
−0.988236 | + | 0.152936i | \(0.951127\pi\) | |||||||
\(774\) | −8.78627 | + | 7.37256i | −0.315816 | + | 0.265001i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 0.898214 | + | 5.09403i | 0.0322440 | + | 0.182865i | ||||
\(777\) | 0.786989 | + | 0.286441i | 0.0282331 | + | 0.0102760i | ||||
\(778\) | −3.43788 | −0.123254 | ||||||||
\(779\) | −13.7588 | + | 13.9202i | −0.492959 | + | 0.498743i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 44.1070 | + | 16.0536i | 1.57827 | + | 0.574444i | ||||
\(782\) | −0.443868 | − | 2.51730i | −0.0158727 | − | 0.0900184i | ||||
\(783\) | −8.08100 | − | 6.78077i | −0.288792 | − | 0.242325i | ||||
\(784\) | 0.111281 | − | 0.0933762i | 0.00397434 | − | 0.00333486i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 0.710485 | − | 1.23060i | 0.0253422 | − | 0.0438939i | ||||
\(787\) | 24.4158 | + | 42.2894i | 0.870330 | + | 1.50746i | 0.861656 | + | 0.507493i | \(0.169428\pi\) |
0.00867371 | + | 0.999962i | \(0.497239\pi\) | |||||||
\(788\) | 26.7430 | − | 9.73367i | 0.952681 | − | 0.346748i | ||||
\(789\) | −4.82160 | + | 1.75492i | −0.171654 | + | 0.0624768i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 6.93242 | − | 12.0073i | 0.246488 | − | 0.426930i | ||||
\(792\) | −4.56687 | + | 25.9000i | −0.162277 | + | 0.920316i | ||||
\(793\) | 17.7895 | − | 14.9272i | 0.631724 | − | 0.530080i | ||||
\(794\) | 6.03524 | + | 5.06417i | 0.214183 | + | 0.179721i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 10.6298 | + | 3.86893i | 0.376763 | + | 0.137131i | ||||
\(797\) | 28.5262 | 1.01045 | 0.505225 | − | 0.862988i | \(-0.331409\pi\) | ||||
0.505225 | + | 0.862988i | \(0.331409\pi\) | |||||||
\(798\) | 0.311804 | − | 3.82045i | 0.0110377 | − | 0.135242i | ||||
\(799\) | 1.18479 | 0.0419149 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 1.07713 | + | 6.10873i | 0.0380586 | + | 0.215841i | ||||
\(802\) | 1.36571 | + | 1.14597i | 0.0482251 | + | 0.0404656i | ||||
\(803\) | 19.6459 | − | 16.4849i | 0.693289 | − | 0.581738i | ||||
\(804\) | −1.61081 | + | 9.13538i | −0.0568091 | + | 0.322180i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 4.52141 | + | 7.83131i | 0.159260 | + | 0.275846i | ||||
\(807\) | −9.13950 | + | 3.32651i | −0.321726 | + | 0.117099i | ||||
\(808\) | 21.1211 | − | 7.68745i | 0.743037 | − | 0.270443i | ||||
\(809\) | 7.41834 | + | 12.8489i | 0.260815 | + | 0.451745i | 0.966459 | − | 0.256822i | \(-0.0826755\pi\) |
−0.705644 | + | 0.708567i | \(0.749342\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −1.45471 | + | 8.25006i | −0.0510817 | + | 0.289699i | −0.999638 | − | 0.0269103i | \(-0.991433\pi\) |
0.948556 | + | 0.316609i | \(0.102544\pi\) | |||||||
\(812\) | 6.12449 | − | 5.13905i | 0.214927 | − | 0.180345i | ||||
\(813\) | −7.72984 | − | 6.48610i | −0.271097 | − | 0.227478i | ||||
\(814\) | −0.436289 | − | 2.47432i | −0.0152919 | − | 0.0867248i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | −0.0368366 | −0.00128954 | ||||||||
\(817\) | 20.2438 | + | 5.29796i | 0.708241 | + | 0.185352i | ||||
\(818\) | 28.3233 | 0.990299 | ||||||||
\(819\) | 25.3862 | + | 9.23984i | 0.887067 | + | 0.322866i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 4.80999 | + | 4.03606i | 0.167870 | + | 0.140860i | 0.722852 | − | 0.691002i | \(-0.242831\pi\) |
−0.554983 | + | 0.831862i | \(0.687275\pi\) | |||||||
\(822\) | −7.00387 | + | 5.87695i | −0.244288 | + | 0.204982i | ||||
\(823\) | −1.91472 | + | 10.8589i | −0.0667428 | + | 0.378517i | 0.933080 | + | 0.359670i | \(0.117111\pi\) |
−0.999822 | + | 0.0188472i | \(0.994000\pi\) | |||||||
\(824\) | −0.0206398 | + | 0.0357492i | −0.000719023 | + | 0.00124538i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −16.7087 | + | 6.08148i | −0.581371 | + | 0.211602i | ||||
\(827\) | 31.8892 | − | 11.6067i | 1.10890 | − | 0.403606i | 0.278309 | − | 0.960492i | \(-0.410226\pi\) |
0.830589 | + | 0.556886i | \(0.188004\pi\) | |||||||
\(828\) | 2.93077 | + | 5.07624i | 0.101851 | + | 0.176412i | ||||
\(829\) | 10.1834 | − | 17.6382i | 0.353686 | − | 0.612602i | −0.633206 | − | 0.773983i | \(-0.718262\pi\) |
0.986892 | + | 0.161381i | \(0.0515949\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 5.61019 | − | 4.70750i | 0.194615 | − | 0.163302i | ||||
\(832\) | 20.4349 | + | 17.1470i | 0.708454 | + | 0.594464i | ||||
\(833\) | 0.995252 | + | 5.64436i | 0.0344834 | + | 0.195565i | ||||
\(834\) | −6.76991 | − | 2.46405i | −0.234423 | − | 0.0853230i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 16.4868 | − | 7.80531i | 0.570208 | − | 0.269952i | ||||
\(837\) | 5.91210 | 0.204352 | ||||||||
\(838\) | −19.2126 | − | 6.99281i | −0.663688 | − | 0.241563i | ||||
\(839\) | 2.74526 | + | 15.5692i | 0.0947770 | + | 0.537507i | 0.994815 | + | 0.101697i | \(0.0324271\pi\) |
−0.900038 | + | 0.435810i | \(0.856462\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −13.0025 | + | 10.9104i | −0.448363 | + | 0.376221i | ||||
\(842\) | −0.985452 | + | 5.58878i | −0.0339609 | + | 0.192602i | ||||
\(843\) | 3.48814 | − | 6.04164i | 0.120138 | − | 0.208085i | ||||
\(844\) | 8.96926 | + | 15.5352i | 0.308734 | + | 0.534744i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 1.60947 | − | 0.585799i | 0.0553347 | − | 0.0201402i | ||||
\(847\) | −0.599670 | − | 1.03866i | −0.0206049 | − | 0.0356888i | ||||
\(848\) | 0.127889 | − | 0.221510i | 0.00439172 | − | 0.00760668i | ||||
\(849\) | −1.60560 | + | 9.10581i | −0.0551040 | + | 0.312511i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −1.12836 | − | 0.946803i | −0.0386795 | − | 0.0324560i | ||||
\(852\) | −1.55943 | − | 8.84397i | −0.0534252 | − | 0.302989i | ||||
\(853\) | −49.4741 | − | 18.0071i | −1.69396 | − | 0.616551i | −0.698845 | − | 0.715274i | \(-0.746302\pi\) |
−0.995115 | + | 0.0987227i | \(0.968524\pi\) | |||||||
\(854\) | −7.25402 | −0.248228 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 10.0855 | 0.344716 | ||||||||
\(857\) | −21.6386 | − | 7.87581i | −0.739161 | − | 0.269033i | −0.0551238 | − | 0.998480i | \(-0.517555\pi\) |
−0.684038 | + | 0.729447i | \(0.739778\pi\) | |||||||
\(858\) | 1.46657 | + | 8.31731i | 0.0500678 | + | 0.283948i | ||||
\(859\) | 6.82501 | + | 5.72686i | 0.232866 | + | 0.195398i | 0.751753 | − | 0.659445i | \(-0.229209\pi\) |
−0.518886 | + | 0.854843i | \(0.673653\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0.779715 | − | 4.42198i | 0.0265726 | − | 0.150701i | ||||
\(862\) | −6.15451 | + | 10.6599i | −0.209624 | + | 0.363079i | ||||
\(863\) | 14.8849 | + | 25.7814i | 0.506688 | + | 0.877609i | 0.999970 | + | 0.00773998i | \(0.00246374\pi\) |
−0.493282 | + | 0.869869i | \(0.664203\pi\) | |||||||
\(864\) | 16.1163 | − | 5.86587i | 0.548289 | − | 0.199561i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 12.6160 | + | 21.8516i | 0.428710 | + | 0.742548i | ||||
\(867\) | −3.79607 | + | 6.57499i | −0.128921 | + | 0.223298i | ||||
\(868\) | −0.778066 | + | 4.41263i | −0.0264093 | + | 0.149775i | ||||
\(869\) | −18.1971 | + | 15.2692i | −0.617295 | + | 0.517972i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −13.0574 | − | 74.0520i | −0.442432 | − | 2.50916i | ||||
\(872\) | −19.6501 | − | 7.15204i | −0.665435 | − | 0.242199i | ||||
\(873\) | −4.95273 | −0.167625 | ||||||||
\(874\) | −2.81345 | + | 6.12651i | −0.0951665 | + | 0.207232i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −4.61081 | − | 1.67820i | −0.155785 | − | 0.0567011i | ||||
\(877\) | 4.34642 | + | 24.6498i | 0.146768 | + | 0.832363i | 0.965930 | + | 0.258802i | \(0.0833276\pi\) |
−0.819162 | + | 0.573562i | \(0.805561\pi\) | |||||||
\(878\) | 8.98798 | + | 7.54181i | 0.303330 | + | 0.254524i | ||||
\(879\) | 6.36025 | − | 5.33688i | 0.214526 | − | 0.180009i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −10.1980 | + | 17.6634i | −0.343579 | + | 0.595097i | −0.985095 | − | 0.172014i | \(-0.944973\pi\) |
0.641515 | + | 0.767110i | \(0.278306\pi\) | |||||||
\(882\) | 4.14274 | + | 7.17544i | 0.139493 | + | 0.241610i | ||||
\(883\) | −9.98710 | + | 3.63501i | −0.336093 | + | 0.122328i | −0.504553 | − | 0.863381i | \(-0.668343\pi\) |
0.168460 | + | 0.985708i | \(0.446120\pi\) | |||||||
\(884\) | −10.0795 | + | 3.66864i | −0.339010 | + | 0.123390i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −14.8981 | + | 25.8043i | −0.500512 | + | 0.866912i | ||||
\(887\) | 9.78312 | − | 55.4828i | 0.328485 | − | 1.86293i | −0.155474 | − | 0.987840i | \(-0.549690\pi\) |
0.483959 | − | 0.875091i | \(-0.339198\pi\) | |||||||
\(888\) | −0.968626 | + | 0.812774i | −0.0325050 | + | 0.0272749i | ||||
\(889\) | 0.145430 | + | 0.122030i | 0.00487756 | + | 0.00409275i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −20.9402 | − | 7.62159i | −0.701522 | − | 0.255333i | ||||
\(892\) | −3.69789 | −0.123815 | ||||||||
\(893\) | −2.57011 | − | 1.77736i | −0.0860054 | − | 0.0594771i | ||||
\(894\) | −1.76239 | −0.0589432 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 2.23308 | + | 12.6644i | 0.0746019 | + | 0.423088i | ||||
\(897\) | 3.79292 | + | 3.18264i | 0.126642 | + | 0.106265i | ||||
\(898\) | −12.6917 | + | 10.6496i | −0.423526 | + | 0.355381i | ||||
\(899\) | −1.17041 | + | 6.63771i | −0.0390353 | + | 0.221380i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 5.04576 | + | 8.73951i | 0.168099 | + | 0.291155i | ||||
\(902\) | −12.6582 | + | 4.60722i | −0.421473 | + | 0.153404i | ||||
\(903\) | −4.51114 | + | 1.64192i | −0.150121 | + | 0.0546398i | ||||
\(904\) | 10.4666 | + | 18.1286i | 0.348113 | + | 0.602949i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −1.18597 | + | 6.72600i | −0.0394014 | + | 0.223456i | ||||
\(907\) | 4.53777 | − | 3.80764i | 0.150674 | − | 0.126431i | −0.564334 | − | 0.825546i | \(-0.690867\pi\) |
0.715009 | + | 0.699116i | \(0.246423\pi\) | |||||||
\(908\) | −12.8944 | − | 10.8197i | −0.427916 | − | 0.359064i | ||||
\(909\) | 3.73711 | + | 21.1942i | 0.123952 | + | 0.702968i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −34.0591 | −1.12843 | −0.564215 | − | 0.825628i | \(-0.690821\pi\) | ||||
−0.564215 | + | 0.825628i | \(0.690821\pi\) | |||||||
\(912\) | 0.0799077 | + | 0.0552603i | 0.00264601 | + | 0.00182985i | ||||
\(913\) | −8.57129 | −0.283668 | ||||||||
\(914\) | −11.7995 | − | 4.29466i | −0.390292 | − | 0.142055i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −8.84642 | − | 7.42303i | −0.292294 | − | 0.245264i | ||||
\(917\) | −4.37211 | + | 3.66864i | −0.144380 | + | 0.121149i | ||||
\(918\) | 0.767693 | − | 4.35381i | 0.0253377 | − | 0.143697i | ||||
\(919\) | 3.13697 | − | 5.43340i | 0.103479 | − | 0.179231i | −0.809637 | − | 0.586931i | \(-0.800336\pi\) |
0.913116 | + | 0.407700i | \(0.133669\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −10.7601 | + | 3.91636i | −0.354558 | + | 0.129048i | ||||
\(922\) | −11.5095 | + | 4.18911i | −0.379045 | + | 0.137961i | ||||
\(923\) | 36.3979 | + | 63.0429i | 1.19805 | + | 2.07508i | ||||
\(924\) | −2.09240 | + | 3.62414i | −0.0688348 | + | 0.119225i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | −1.18757 | + | 0.996487i | −0.0390259 | + | 0.0327466i | ||||
\(927\) | −0.0302779 | − | 0.0254062i | −0.000994456 | − | 0.000834448i | ||||
\(928\) | 3.39528 | + | 19.2556i | 0.111455 | + | 0.632095i | ||||
\(929\) | −26.6152 | − | 9.68712i | −0.873215 | − | 0.317824i | −0.133747 | − | 0.991016i | \(-0.542701\pi\) |
−0.739468 | + | 0.673191i | \(0.764923\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 6.30840 | − | 13.7370i | 0.206749 | − | 0.450213i | ||||
\(932\) | −29.6682 | −0.971814 | ||||||||
\(933\) | 7.24763 | + | 2.63792i | 0.237277 | + | 0.0863616i | ||||
\(934\) | 3.36588 | + | 19.0888i | 0.110135 | + | 0.624606i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −31.2454 | + | 26.2180i | −1.02129 | + | 0.856962i | ||||
\(937\) | 3.48545 | − | 19.7670i | 0.113865 | − | 0.645759i | −0.873441 | − | 0.486930i | \(-0.838117\pi\) |
0.987306 | − | 0.158830i | \(-0.0507720\pi\) | |||||||
\(938\) | −11.7442 | + | 20.3416i | −0.383462 | + | 0.664176i | ||||
\(939\) | −5.19278 | − | 8.99416i | −0.169460 | − | 0.293513i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −5.06980 | + | 1.84526i | −0.165271 | + | 0.0601537i | −0.423331 | − | 0.905975i | \(-0.639139\pi\) |
0.258060 | + | 0.966129i | \(0.416917\pi\) | |||||||
\(942\) | −2.42720 | − | 4.20404i | −0.0790826 | − | 0.136975i | ||||
\(943\) | −3.94862 | + | 6.83920i | −0.128585 | + | 0.222715i | ||||
\(944\) | 0.0782589 | − | 0.443828i | 0.00254711 | − | 0.0144454i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 11.0326 | + | 9.25741i | 0.358699 | + | 0.300984i | ||||
\(947\) | −1.15358 | − | 6.54228i | −0.0374863 | − | 0.212596i | 0.960311 | − | 0.278931i | \(-0.0899802\pi\) |
−0.997797 | + | 0.0663359i | \(0.978869\pi\) | |||||||
\(948\) | 4.27079 | + | 1.55444i | 0.138709 | + | 0.0504859i | ||||
\(949\) | 39.7743 | 1.29113 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 15.0833 | 0.489109 | ||||||||
\(952\) | 8.28194 | + | 3.01438i | 0.268419 | + | 0.0976966i | ||||
\(953\) | 2.57414 | + | 14.5987i | 0.0833846 | + | 0.472897i | 0.997693 | + | 0.0678799i | \(0.0216235\pi\) |
−0.914309 | + | 0.405018i | \(0.867265\pi\) | |||||||
\(954\) | 11.1755 | + | 9.37732i | 0.361819 | + | 0.303602i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 4.96868 | − | 28.1788i | 0.160699 | − | 0.911368i | ||||
\(957\) | −3.14749 | + | 5.45161i | −0.101744 | + | 0.176226i | ||||
\(958\) | −11.1932 | − | 19.3873i | −0.361637 | − | 0.626374i | ||||
\(959\) | 34.5082 | − | 12.5600i | 1.11433 | − | 0.405582i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 13.6113 | + | 23.5754i | 0.439074 | + | 0.760498i | ||||
\(962\) | 1.94831 | − | 3.37457i | 0.0628161 | − | 0.108801i | ||||
\(963\) | −1.67689 | + | 9.51011i | −0.0540370 | + | 0.306459i | ||||
\(964\) | −0.279715 | + | 0.234709i | −0.00900901 | + | 0.00755946i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −0.268571 | − | 1.52314i | −0.00864112 | − | 0.0490062i | ||||
\(967\) | 19.9418 | + | 7.25822i | 0.641285 | + | 0.233409i | 0.642136 | − | 0.766591i | \(-0.278049\pi\) |
−0.000850519 | 1.00000i | \(0.500271\pi\) | ||||||||
\(968\) | 1.81076 | 0.0582002 | ||||||||
\(969\) | −3.46451 | + | 1.64019i | −0.111296 | + | 0.0526906i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 35.3387 | + | 12.8622i | 1.13407 | + | 0.412769i | 0.839770 | − | 0.542943i | \(-0.182690\pi\) |
0.294304 | + | 0.955712i | \(0.404912\pi\) | |||||||
\(972\) | 2.68422 | + | 15.2230i | 0.0860964 | + | 0.488277i | ||||
\(973\) | 22.1668 | + | 18.6002i | 0.710636 | + | 0.596295i | ||||
\(974\) | −15.1643 | + | 12.7244i | −0.485896 | + | 0.407715i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0.0919294 | − | 0.159226i | 0.00294259 | − | 0.00509671i | ||||
\(977\) | −23.0107 | − | 39.8558i | −0.736179 | − | 1.27510i | −0.954204 | − | 0.299156i | \(-0.903295\pi\) |
0.218026 | − | 0.975943i | \(-0.430038\pi\) | |||||||
\(978\) | −0.889185 | + | 0.323637i | −0.0284330 | + | 0.0103488i | ||||
\(979\) | 7.31908 | − | 2.66393i | 0.233919 | − | 0.0851395i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 10.0111 | − | 17.3398i | 0.319631 | − | 0.553618i | ||||
\(982\) | −2.38737 | + | 13.5395i | −0.0761842 | + | 0.432062i | ||||
\(983\) | −46.4195 | + | 38.9506i | −1.48055 | + | 1.24233i | −0.574961 | + | 0.818181i | \(0.694983\pi\) |
−0.905592 | + | 0.424150i | \(0.860573\pi\) | |||||||
\(984\) | 5.19325 | + | 4.35765i | 0.165555 | + | 0.138917i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 4.73618 | + | 1.72383i | 0.150831 | + | 0.0548979i | ||||
\(987\) | 0.716881 | 0.0228186 | ||||||||
\(988\) | 27.3684 | + | 7.16252i | 0.870705 | + | 0.227870i | ||||
\(989\) | 8.44326 | 0.268480 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 7.27554 | + | 41.2616i | 0.231115 | + | 1.31072i | 0.850643 | + | 0.525744i | \(0.176213\pi\) |
−0.619528 | + | 0.784975i | \(0.712676\pi\) | |||||||
\(992\) | −8.39440 | − | 7.04374i | −0.266522 | − | 0.223639i | ||||
\(993\) | 0.697033 | − | 0.584880i | 0.0221197 | − | 0.0185606i | ||||
\(994\) | 3.94862 | − | 22.3937i | 0.125242 | − | 0.710285i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 0.819955 | + | 1.42020i | 0.0259813 | + | 0.0450009i | ||||
\(997\) | 31.6819 | − | 11.5313i | 1.00337 | − | 0.365198i | 0.212490 | − | 0.977163i | \(-0.431843\pi\) |
0.790885 | + | 0.611965i | \(0.209621\pi\) | |||||||
\(998\) | −23.6475 | + | 8.60700i | −0.748550 | + | 0.272450i | ||||
\(999\) | −1.27379 | − | 2.20626i | −0.0403008 | − | 0.0698030i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))