Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [675,2,Mod(76,675)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(675, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([14, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("675.76");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 675 = 3^{3} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 675.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: | \(5.38990213644\) |
Analytic rank: | \(0\) |
Dimension: | \(66\) |
Relative dimension: | \(11\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 76.7 | ||
Character | \(\chi\) | \(=\) | 675.76 |
Dual form | 675.2.l.f.151.7 |
$q$-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 \(\left(\mathbb{Z}/675\mathbb{Z}\right)^\times\).
\(n\) | \(326\) | \(352\) |
\(\chi(n)\) | \(e\left(\frac{7}{9}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.211903 | − | 0.177808i | 0.149838 | − | 0.125729i | −0.564787 | − | 0.825237i | \(-0.691042\pi\) |
0.714625 | + | 0.699508i | \(0.246597\pi\) | |||||||
\(3\) | −0.483303 | − | 1.66326i | −0.279035 | − | 0.960281i | ||||
\(4\) | −0.334009 | + | 1.89426i | −0.167005 | + | 0.947130i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −0.398153 | − | 0.266514i | −0.162545 | − | 0.108804i | ||||
\(7\) | 0.293371 | + | 1.66379i | 0.110884 | + | 0.628853i | 0.988706 | + | 0.149867i | \(0.0478846\pi\) |
−0.877822 | + | 0.478986i | \(0.841004\pi\) | |||||||
\(8\) | 0.542656 | + | 0.939908i | 0.191858 | + | 0.332308i | ||||
\(9\) | −2.53284 | + | 1.60771i | −0.844279 | + | 0.535904i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −4.65944 | − | 1.69590i | −1.40488 | − | 0.511333i | −0.475254 | − | 0.879849i | \(-0.657644\pi\) |
−0.929621 | + | 0.368516i | \(0.879866\pi\) | |||||||
\(12\) | 3.31206 | − | 0.359958i | 0.956111 | − | 0.103911i | ||||
\(13\) | −2.87084 | − | 2.40892i | −0.796229 | − | 0.668115i | 0.151050 | − | 0.988526i | \(-0.451735\pi\) |
−0.947279 | + | 0.320411i | \(0.896179\pi\) | |||||||
\(14\) | 0.358001 | + | 0.300398i | 0.0956798 | + | 0.0802849i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.33285 | − | 1.21306i | −0.833212 | − | 0.303264i | ||||
\(17\) | 3.15798 | − | 5.46979i | 0.765923 | − | 1.32662i | −0.173834 | − | 0.984775i | \(-0.555615\pi\) |
0.939757 | − | 0.341843i | \(-0.111051\pi\) | |||||||
\(18\) | −0.250852 | + | 0.791037i | −0.0591265 | + | 0.186449i | ||||
\(19\) | −3.42671 | − | 5.93524i | −0.786142 | − | 1.36164i | −0.928314 | − | 0.371796i | \(-0.878742\pi\) |
0.142172 | − | 0.989842i | \(-0.454591\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 2.62552 | − | 1.29206i | 0.572935 | − | 0.281952i | ||||
\(22\) | −1.28889 | + | 0.469119i | −0.274793 | + | 0.100017i | ||||
\(23\) | 1.12343 | − | 6.37131i | 0.234252 | − | 1.32851i | −0.609931 | − | 0.792454i | \(-0.708803\pi\) |
0.844183 | − | 0.536055i | \(-0.180086\pi\) | |||||||
\(24\) | 1.30104 | − | 1.35684i | 0.265574 | − | 0.276963i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −1.03667 | −0.203307 | ||||||||
\(27\) | 3.89816 | + | 3.43574i | 0.750202 | + | 0.661209i | ||||
\(28\) | −3.24964 | −0.614124 | ||||||||
\(29\) | −0.115261 | + | 0.0967151i | −0.0214034 | + | 0.0179596i | −0.653427 | − | 0.756990i | \(-0.726669\pi\) |
0.632023 | + | 0.774949i | \(0.282225\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.06440 | + | 6.03653i | −0.191172 | + | 1.08419i | 0.726593 | + | 0.687068i | \(0.241103\pi\) |
−0.917765 | + | 0.397124i | \(0.870008\pi\) | |||||||
\(32\) | −2.96165 | + | 1.07795i | −0.523551 | + | 0.190557i | ||||
\(33\) | −0.568791 | + | 8.56948i | −0.0990138 | + | 1.49175i | ||||
\(34\) | −0.303384 | − | 1.72058i | −0.0520300 | − | 0.295077i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −2.19943 | − | 5.33484i | −0.366572 | − | 0.889140i | ||||
\(37\) | −1.23541 | + | 2.13979i | −0.203100 | + | 0.351780i | −0.949526 | − | 0.313689i | \(-0.898435\pi\) |
0.746426 | + | 0.665469i | \(0.231768\pi\) | |||||||
\(38\) | −1.78146 | − | 0.648400i | −0.288992 | − | 0.105184i | ||||
\(39\) | −2.61917 | + | 5.93918i | −0.419403 | + | 0.951031i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −3.02499 | − | 2.53826i | −0.472423 | − | 0.396410i | 0.375254 | − | 0.926922i | \(-0.377555\pi\) |
−0.847678 | + | 0.530512i | \(0.822000\pi\) | |||||||
\(42\) | 0.326617 | − | 0.740630i | 0.0503980 | − | 0.114282i | ||||
\(43\) | −6.57849 | − | 2.39437i | −1.00321 | − | 0.365139i | −0.212388 | − | 0.977185i | \(-0.568124\pi\) |
−0.790822 | + | 0.612047i | \(0.790346\pi\) | |||||||
\(44\) | 4.76877 | − | 8.25975i | 0.718919 | − | 1.24520i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.894809 | − | 1.54985i | −0.131932 | − | 0.228514i | ||||
\(47\) | 1.07632 | + | 6.10414i | 0.156998 | + | 0.890380i | 0.956936 | + | 0.290298i | \(0.0937544\pi\) |
−0.799938 | + | 0.600082i | \(0.795135\pi\) | |||||||
\(48\) | −0.406850 | + | 6.12965i | −0.0587238 | + | 0.884739i | ||||
\(49\) | 3.89572 | − | 1.41793i | 0.556531 | − | 0.202561i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −10.6239 | − | 2.60897i | −1.48765 | − | 0.365329i | ||||
\(52\) | 5.52201 | − | 4.63352i | 0.765766 | − | 0.642554i | ||||
\(53\) | −0.373453 | −0.0512977 | −0.0256488 | − | 0.999671i | \(-0.508165\pi\) | ||||
−0.0256488 | + | 0.999671i | \(0.508165\pi\) | |||||||
\(54\) | 1.43693 | + | 0.0349210i | 0.195542 | + | 0.00475215i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −1.40461 | + | 1.17861i | −0.187699 | + | 0.157498i | ||||
\(57\) | −8.21568 | + | 8.56802i | −1.08819 | + | 1.13486i | ||||
\(58\) | −0.00722737 | + | 0.0409885i | −0.000949001 | + | 0.00538205i | ||||
\(59\) | 0.342887 | − | 0.124801i | 0.0446401 | − | 0.0162477i | −0.319604 | − | 0.947551i | \(-0.603550\pi\) |
0.364244 | + | 0.931304i | \(0.381328\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.07271 | + | 6.08365i | 0.137347 | + | 0.778931i | 0.973197 | + | 0.229974i | \(0.0738640\pi\) |
−0.835850 | + | 0.548958i | \(0.815025\pi\) | |||||||
\(62\) | 0.847791 | + | 1.46842i | 0.107670 | + | 0.186489i | ||||
\(63\) | −3.41795 | − | 3.74245i | −0.430622 | − | 0.471505i | ||||
\(64\) | 3.11083 | − | 5.38811i | 0.388854 | − | 0.673514i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 1.40319 | + | 1.91703i | 0.172721 | + | 0.235971i | ||||
\(67\) | 0.475424 | + | 0.398928i | 0.0580823 | + | 0.0487369i | 0.671367 | − | 0.741125i | \(-0.265708\pi\) |
−0.613284 | + | 0.789862i | \(0.710152\pi\) | |||||||
\(68\) | 9.30640 | + | 7.80900i | 1.12857 | + | 0.946980i | ||||
\(69\) | −11.1401 | + | 1.21071i | −1.34111 | + | 0.145753i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −3.39814 | + | 5.88576i | −0.403285 | + | 0.698511i | −0.994120 | − | 0.108282i | \(-0.965465\pi\) |
0.590835 | + | 0.806793i | \(0.298799\pi\) | |||||||
\(72\) | −2.88556 | − | 1.50820i | −0.340067 | − | 0.177743i | ||||
\(73\) | −2.27683 | − | 3.94359i | −0.266483 | − | 0.461563i | 0.701468 | − | 0.712701i | \(-0.252528\pi\) |
−0.967951 | + | 0.251138i | \(0.919195\pi\) | |||||||
\(74\) | 0.118685 | + | 0.673094i | 0.0137968 | + | 0.0782456i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 12.3874 | − | 4.50866i | 1.42094 | − | 0.517179i | ||||
\(77\) | 1.45467 | − | 8.24986i | 0.165775 | − | 0.940159i | ||||
\(78\) | 0.501023 | + | 1.72424i | 0.0567297 | + | 0.195232i | ||||
\(79\) | −12.4889 | + | 10.4794i | −1.40511 | + | 1.17903i | −0.446338 | + | 0.894864i | \(0.647272\pi\) |
−0.958775 | + | 0.284166i | \(0.908283\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 3.83053 | − | 8.14414i | 0.425614 | − | 0.904905i | ||||
\(82\) | −1.09233 | −0.120627 | ||||||||
\(83\) | 8.56544 | − | 7.18726i | 0.940179 | − | 0.788904i | −0.0374374 | − | 0.999299i | \(-0.511919\pi\) |
0.977616 | + | 0.210395i | \(0.0674750\pi\) | |||||||
\(84\) | 1.57056 | + | 5.40498i | 0.171362 | + | 0.589731i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −1.81974 | + | 0.662331i | −0.196228 | + | 0.0714210i | ||||
\(87\) | 0.216568 | + | 0.144965i | 0.0232185 | + | 0.0155419i | ||||
\(88\) | −0.934487 | − | 5.29974i | −0.0996167 | − | 0.564954i | ||||
\(89\) | 4.58274 | + | 7.93753i | 0.485769 | + | 0.841377i | 0.999866 | − | 0.0163553i | \(-0.00520627\pi\) |
−0.514097 | + | 0.857732i | \(0.671873\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 3.16572 | − | 5.48319i | 0.331858 | − | 0.574794i | ||||
\(92\) | 11.6937 | + | 4.25615i | 1.21915 | + | 0.443734i | ||||
\(93\) | 10.5547 | − | 1.14710i | 1.09447 | − | 0.118948i | ||||
\(94\) | 1.31344 | + | 1.10211i | 0.135471 | + | 0.113674i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 3.22429 | + | 4.40501i | 0.329077 | + | 0.449584i | ||||
\(97\) | −12.9391 | − | 4.70945i | −1.31377 | − | 0.478172i | −0.412312 | − | 0.911043i | \(-0.635279\pi\) |
−0.901456 | + | 0.432871i | \(0.857501\pi\) | |||||||
\(98\) | 0.573397 | − | 0.993152i | 0.0579218 | − | 0.100324i | ||||
\(99\) | 14.5281 | − | 3.19561i | 1.46013 | − | 0.321171i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 1.98385 | + | 11.2510i | 0.197400 | + | 1.11951i | 0.908959 | + | 0.416886i | \(0.136879\pi\) |
−0.711558 | + | 0.702627i | \(0.752010\pi\) | |||||||
\(102\) | −2.71514 | + | 1.33617i | −0.268838 | + | 0.132300i | ||||
\(103\) | −8.62703 | + | 3.13998i | −0.850046 | + | 0.309392i | −0.730059 | − | 0.683384i | \(-0.760508\pi\) |
−0.119987 | + | 0.992775i | \(0.538285\pi\) | |||||||
\(104\) | 0.706286 | − | 4.00555i | 0.0692571 | − | 0.392776i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −0.0791358 | + | 0.0664028i | −0.00768635 | + | 0.00644961i | ||||
\(107\) | −1.09015 | −0.105389 | −0.0526946 | − | 0.998611i | \(-0.516781\pi\) | ||||
−0.0526946 | + | 0.998611i | \(0.516781\pi\) | |||||||
\(108\) | −7.81021 | + | 6.23656i | −0.751538 | + | 0.600113i | ||||
\(109\) | −0.574982 | −0.0550733 | −0.0275366 | − | 0.999621i | \(-0.508766\pi\) | ||||
−0.0275366 | + | 0.999621i | \(0.508766\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 4.15610 | + | 1.02063i | 0.394480 | + | 0.0968744i | ||||
\(112\) | 1.04051 | − | 5.90104i | 0.0983191 | − | 0.557595i | ||||
\(113\) | 16.5549 | − | 6.02550i | 1.55736 | − | 0.566832i | 0.587228 | − | 0.809421i | \(-0.300219\pi\) |
0.970129 | + | 0.242590i | \(0.0779968\pi\) | |||||||
\(114\) | −0.217468 | + | 3.27640i | −0.0203678 | + | 0.306863i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −0.144705 | − | 0.250637i | −0.0134356 | − | 0.0232711i | ||||
\(117\) | 11.1442 | + | 1.48592i | 1.03028 | + | 0.137374i | ||||
\(118\) | 0.0504683 | − | 0.0874136i | 0.00464598 | − | 0.00804708i | ||||
\(119\) | 10.0270 | + | 3.64954i | 0.919177 | + | 0.334553i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 10.4079 | + | 8.73323i | 0.946169 | + | 0.793930i | ||||
\(122\) | 1.30903 | + | 1.09841i | 0.118514 | + | 0.0994451i | ||||
\(123\) | −2.75980 | + | 6.25807i | −0.248843 | + | 0.564272i | ||||
\(124\) | −11.0792 | − | 4.03251i | −0.994944 | − | 0.362130i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −1.38971 | − | 0.185298i | −0.123805 | − | 0.0165077i | ||||
\(127\) | −3.97850 | − | 6.89096i | −0.353035 | − | 0.611474i | 0.633745 | − | 0.773542i | \(-0.281517\pi\) |
−0.986780 | + | 0.162068i | \(0.948184\pi\) | |||||||
\(128\) | −1.39344 | − | 7.90257i | −0.123164 | − | 0.698496i | ||||
\(129\) | −0.803054 | + | 12.0989i | −0.0707050 | + | 1.06525i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 1.46844 | − | 8.32796i | 0.128298 | − | 0.727617i | −0.850995 | − | 0.525173i | \(-0.824001\pi\) |
0.979294 | − | 0.202444i | \(-0.0648883\pi\) | |||||||
\(132\) | −16.0428 | − | 3.93972i | −1.39635 | − | 0.342909i | ||||
\(133\) | 8.86970 | − | 7.44256i | 0.769100 | − | 0.645352i | ||||
\(134\) | 0.171676 | 0.0148306 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 6.85480 | 0.587794 | ||||||||
\(137\) | 0.303815 | − | 0.254931i | 0.0259567 | − | 0.0217802i | −0.629717 | − | 0.776825i | \(-0.716829\pi\) |
0.655674 | + | 0.755044i | \(0.272385\pi\) | |||||||
\(138\) | −2.14534 | + | 2.23734i | −0.182624 | + | 0.190455i | ||||
\(139\) | −0.813377 | + | 4.61289i | −0.0689897 | + | 0.391260i | 0.930687 | + | 0.365818i | \(0.119211\pi\) |
−0.999676 | + | 0.0254426i | \(0.991901\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 9.63255 | − | 4.74035i | 0.811207 | − | 0.399209i | ||||
\(142\) | 0.326456 | + | 1.85143i | 0.0273956 | + | 0.155368i | ||||
\(143\) | 9.29124 | + | 16.0929i | 0.776973 | + | 1.34576i | ||||
\(144\) | 10.3918 | − | 2.28578i | 0.865984 | − | 0.190482i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −1.18367 | − | 0.430821i | −0.0979612 | − | 0.0356550i | ||||
\(147\) | −4.24118 | − | 5.79429i | −0.349807 | − | 0.477905i | ||||
\(148\) | −3.64069 | − | 3.05490i | −0.299263 | − | 0.251111i | ||||
\(149\) | −17.6585 | − | 14.8172i | −1.44664 | − | 1.21387i | −0.934987 | − | 0.354682i | \(-0.884589\pi\) |
−0.511653 | − | 0.859192i | \(-0.670967\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −4.86203 | − | 1.76963i | −0.395666 | − | 0.144011i | 0.136522 | − | 0.990637i | \(-0.456408\pi\) |
−0.532188 | + | 0.846626i | \(0.678630\pi\) | |||||||
\(152\) | 3.71906 | − | 6.44159i | 0.301655 | − | 0.522482i | ||||
\(153\) | 0.795184 | + | 18.9312i | 0.0642868 | + | 1.53050i | ||||
\(154\) | −1.15864 | − | 2.00682i | −0.0933659 | − | 0.161714i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −10.3755 | − | 6.94513i | −0.830707 | − | 0.556055i | ||||
\(157\) | 13.0179 | − | 4.73812i | 1.03894 | − | 0.378143i | 0.234462 | − | 0.972125i | \(-0.424667\pi\) |
0.804478 | + | 0.593982i | \(0.202445\pi\) | |||||||
\(158\) | −0.783113 | + | 4.44125i | −0.0623011 | + | 0.353327i | ||||
\(159\) | 0.180491 | + | 0.621147i | 0.0143138 | + | 0.0492602i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 10.9301 | 0.861412 | ||||||||
\(162\) | −0.636392 | − | 2.40687i | −0.0499997 | − | 0.189101i | ||||
\(163\) | 2.98083 | 0.233477 | 0.116738 | − | 0.993163i | \(-0.462756\pi\) | ||||
0.116738 | + | 0.993163i | \(0.462756\pi\) | |||||||
\(164\) | 5.81850 | − | 4.88231i | 0.454349 | − | 0.381244i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0.537093 | − | 3.04600i | 0.0416865 | − | 0.236416i | ||||
\(167\) | −17.6335 | + | 6.41805i | −1.36452 | + | 0.496644i | −0.917448 | − | 0.397855i | \(-0.869755\pi\) |
−0.447070 | + | 0.894499i | \(0.647532\pi\) | |||||||
\(168\) | 2.63918 | + | 1.76660i | 0.203617 | + | 0.136296i | ||||
\(169\) | 0.181402 | + | 1.02878i | 0.0139540 | + | 0.0791371i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 18.2215 | + | 9.52383i | 1.39343 | + | 0.728306i | ||||
\(172\) | 6.73284 | − | 11.6616i | 0.513374 | − | 0.889190i | ||||
\(173\) | −7.89065 | − | 2.87196i | −0.599915 | − | 0.218351i | 0.0241697 | − | 0.999708i | \(-0.492306\pi\) |
−0.624085 | + | 0.781357i | \(0.714528\pi\) | |||||||
\(174\) | 0.0716673 | − | 0.00778887i | 0.00543308 | − | 0.000590473i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 13.4720 | + | 11.3043i | 1.01549 | + | 0.852097i | ||||
\(177\) | −0.373294 | − | 0.509992i | −0.0280585 | − | 0.0383334i | ||||
\(178\) | 2.38245 | + | 0.867141i | 0.178572 | + | 0.0649950i | ||||
\(179\) | 11.7123 | − | 20.2863i | 0.875420 | − | 1.51627i | 0.0191052 | − | 0.999817i | \(-0.493918\pi\) |
0.856315 | − | 0.516454i | \(-0.172748\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 4.02049 | + | 6.96369i | 0.298841 | + | 0.517607i | 0.975871 | − | 0.218348i | \(-0.0700667\pi\) |
−0.677030 | + | 0.735955i | \(0.736733\pi\) | |||||||
\(182\) | −0.304128 | − | 1.72479i | −0.0225434 | − | 0.127850i | ||||
\(183\) | 9.60022 | − | 4.72444i | 0.709668 | − | 0.349240i | ||||
\(184\) | 6.59808 | − | 2.40151i | 0.486417 | − | 0.177041i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 2.03261 | − | 2.11978i | 0.149038 | − | 0.155430i | ||||
\(187\) | −23.9906 | + | 20.1305i | −1.75437 | + | 1.47209i | ||||
\(188\) | −11.9223 | −0.869525 | ||||||||
\(189\) | −4.57275 | + | 7.49367i | −0.332618 | + | 0.545084i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 2.02875 | − | 1.70232i | 0.146795 | − | 0.123176i | −0.566433 | − | 0.824108i | \(-0.691677\pi\) |
0.713228 | + | 0.700932i | \(0.247232\pi\) | |||||||
\(192\) | −10.4653 | − | 2.57001i | −0.755267 | − | 0.185475i | ||||
\(193\) | 2.39096 | − | 13.5598i | 0.172105 | − | 0.976055i | −0.769328 | − | 0.638854i | \(-0.779409\pi\) |
0.941433 | − | 0.337201i | \(-0.109480\pi\) | |||||||
\(194\) | −3.57921 | + | 1.30273i | −0.256973 | + | 0.0935304i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 1.38471 | + | 7.85310i | 0.0989081 | + | 0.560936i | ||||
\(197\) | −5.44000 | − | 9.42236i | −0.387584 | − | 0.671315i | 0.604540 | − | 0.796575i | \(-0.293357\pi\) |
−0.992124 | + | 0.125260i | \(0.960024\pi\) | |||||||
\(198\) | 2.51035 | − | 3.26037i | 0.178403 | − | 0.231705i | ||||
\(199\) | 9.58456 | − | 16.6009i | 0.679431 | − | 1.17681i | −0.295721 | − | 0.955274i | \(-0.595560\pi\) |
0.975152 | − | 0.221535i | \(-0.0711068\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 0.433746 | − | 0.983555i | 0.0305941 | − | 0.0693747i | ||||
\(202\) | 2.42089 | + | 2.03137i | 0.170334 | + | 0.142927i | ||||
\(203\) | −0.194728 | − | 0.163396i | −0.0136672 | − | 0.0114682i | ||||
\(204\) | 8.49055 | − | 19.2530i | 0.594457 | − | 1.34798i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −1.26978 | + | 2.19932i | −0.0884698 | + | 0.153234i | ||||
\(207\) | 7.39775 | + | 17.9436i | 0.514179 | + | 1.24717i | ||||
\(208\) | 6.64592 | + | 11.5111i | 0.460812 | + | 0.798150i | ||||
\(209\) | 5.90101 | + | 33.4663i | 0.408181 | + | 2.31491i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −14.2097 | + | 5.17190i | −0.978235 | + | 0.356048i | −0.781154 | − | 0.624339i | \(-0.785369\pi\) |
−0.197081 | + | 0.980387i | \(0.563146\pi\) | |||||||
\(212\) | 0.124737 | − | 0.707417i | 0.00856695 | − | 0.0485856i | ||||
\(213\) | 11.4319 | + | 2.80738i | 0.783297 | + | 0.192358i | ||||
\(214\) | −0.231007 | + | 0.193838i | −0.0157913 | + | 0.0132505i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −1.11392 | + | 5.52834i | −0.0757928 | + | 0.376156i | ||||
\(217\) | −10.3558 | −0.702996 | ||||||||
\(218\) | −0.121840 | + | 0.102236i | −0.00825207 | + | 0.00692431i | ||||
\(219\) | −5.45880 | + | 5.69291i | −0.368872 | + | 0.384691i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −22.2424 | + | 8.09556i | −1.49618 | + | 0.544566i | ||||
\(222\) | 1.06217 | − | 0.522711i | 0.0712880 | − | 0.0350821i | ||||
\(223\) | 0.809497 | + | 4.59088i | 0.0542079 | + | 0.307428i | 0.999841 | − | 0.0178057i | \(-0.00566802\pi\) |
−0.945634 | + | 0.325234i | \(0.894557\pi\) | |||||||
\(224\) | −2.66235 | − | 4.61133i | −0.177886 | − | 0.308107i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 2.43666 | − | 4.22042i | 0.162084 | − | 0.280738i | ||||
\(227\) | 0.187481 | + | 0.0682374i | 0.0124435 | + | 0.00452908i | 0.348234 | − | 0.937407i | \(-0.386781\pi\) |
−0.335791 | + | 0.941937i | \(0.609004\pi\) | |||||||
\(228\) | −13.4859 | − | 18.4244i | −0.893128 | − | 1.22019i | ||||
\(229\) | 13.3044 | + | 11.1637i | 0.879179 | + | 0.737719i | 0.966010 | − | 0.258504i | \(-0.0832296\pi\) |
−0.0868311 | + | 0.996223i | \(0.527674\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −14.4247 | + | 1.56769i | −0.949074 | + | 0.103146i | ||||
\(232\) | −0.153450 | − | 0.0558513i | −0.0100745 | − | 0.00366682i | ||||
\(233\) | 7.90504 | − | 13.6919i | 0.517876 | − | 0.896988i | −0.481908 | − | 0.876222i | \(-0.660056\pi\) |
0.999784 | − | 0.0207662i | \(-0.00661058\pi\) | |||||||
\(234\) | 2.62571 | − | 1.66666i | 0.171648 | − | 0.108953i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 0.121877 | + | 0.691202i | 0.00793355 | + | 0.0449934i | ||||
\(237\) | 23.4659 | + | 15.7075i | 1.52428 | + | 1.02031i | ||||
\(238\) | 2.77368 | − | 1.00954i | 0.179791 | − | 0.0654385i | ||||
\(239\) | −5.21235 | + | 29.5607i | −0.337159 | + | 1.91212i | 0.0676249 | + | 0.997711i | \(0.478458\pi\) |
−0.404784 | + | 0.914412i | \(0.632653\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −2.74958 | + | 2.30717i | −0.177116 | + | 0.148618i | −0.727036 | − | 0.686600i | \(-0.759103\pi\) |
0.549920 | + | 0.835217i | \(0.314658\pi\) | |||||||
\(242\) | 3.75829 | 0.241592 | ||||||||
\(243\) | −15.3971 | − | 2.43506i | −0.987724 | − | 0.156209i | ||||
\(244\) | −11.8823 | −0.760686 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0.527925 | + | 1.81682i | 0.0336592 | + | 0.115836i | ||||
\(247\) | −4.45999 | + | 25.2938i | −0.283782 | + | 1.60941i | ||||
\(248\) | −6.25139 | + | 2.27532i | −0.396964 | + | 0.144483i | ||||
\(249\) | −16.0939 | − | 10.7729i | −1.01991 | − | 0.682704i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −12.8233 | − | 22.2107i | −0.809401 | − | 1.40192i | −0.913279 | − | 0.407334i | \(-0.866458\pi\) |
0.103878 | − | 0.994590i | \(-0.466875\pi\) | |||||||
\(252\) | 8.23080 | − | 5.22448i | 0.518492 | − | 0.329111i | ||||
\(253\) | −16.0397 | + | 27.7815i | −1.00841 | + | 1.74661i | ||||
\(254\) | −2.06832 | − | 0.752808i | −0.129778 | − | 0.0472354i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 7.83172 | + | 6.57159i | 0.489483 | + | 0.410725i | ||||
\(257\) | 6.42079 | + | 5.38768i | 0.400518 | + | 0.336075i | 0.820694 | − | 0.571368i | \(-0.193587\pi\) |
−0.420176 | + | 0.907443i | \(0.638032\pi\) | |||||||
\(258\) | 1.98111 | + | 2.70659i | 0.123339 | + | 0.168505i | ||||
\(259\) | −3.92260 | − | 1.42771i | −0.243738 | − | 0.0887135i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0.136446 | − | 0.430270i | 0.00844581 | − | 0.0266330i | ||||
\(262\) | −1.16961 | − | 2.02582i | −0.0722586 | − | 0.125156i | ||||
\(263\) | −0.883720 | − | 5.01183i | −0.0544925 | − | 0.309043i | 0.945363 | − | 0.326019i | \(-0.105707\pi\) |
−0.999856 | + | 0.0169761i | \(0.994596\pi\) | |||||||
\(264\) | −8.36318 | + | 4.11567i | −0.514718 | + | 0.253302i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 0.556171 | − | 3.15420i | 0.0341010 | − | 0.193397i | ||||
\(267\) | 10.9873 | − | 11.4585i | 0.672411 | − | 0.701248i | ||||
\(268\) | −0.914470 | + | 0.767331i | −0.0558601 | + | 0.0468722i | ||||
\(269\) | 28.2625 | 1.72320 | 0.861599 | − | 0.507590i | \(-0.169464\pi\) | ||||
0.861599 | + | 0.507590i | \(0.169464\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −17.2893 | −1.05025 | −0.525125 | − | 0.851025i | \(-0.675982\pi\) | ||||
−0.525125 | + | 0.851025i | \(0.675982\pi\) | |||||||
\(272\) | −17.1602 | + | 14.3992i | −1.04049 | + | 0.873077i | ||||
\(273\) | −10.6499 | − | 2.61536i | −0.644564 | − | 0.158289i | ||||
\(274\) | 0.0190506 | − | 0.108041i | 0.00115089 | − | 0.00652702i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 1.42748 | − | 21.5066i | 0.0859241 | − | 1.29454i | ||||
\(277\) | −0.718943 | − | 4.07733i | −0.0431971 | − | 0.244983i | 0.955562 | − | 0.294791i | \(-0.0952501\pi\) |
−0.998759 | + | 0.0498083i | \(0.984139\pi\) | |||||||
\(278\) | 0.647851 | + | 1.12211i | 0.0388555 | + | 0.0672997i | ||||
\(279\) | −7.00904 | − | 17.0008i | −0.419620 | − | 1.01781i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 18.0380 | + | 6.56528i | 1.07605 | + | 0.391652i | 0.818438 | − | 0.574595i | \(-0.194840\pi\) |
0.257617 | + | 0.966247i | \(0.417063\pi\) | |||||||
\(282\) | 1.19830 | − | 2.71724i | 0.0713575 | − | 0.161809i | ||||
\(283\) | −7.31199 | − | 6.13548i | −0.434652 | − | 0.364717i | 0.399051 | − | 0.916929i | \(-0.369339\pi\) |
−0.833704 | + | 0.552212i | \(0.813784\pi\) | |||||||
\(284\) | −10.0141 | − | 8.40286i | −0.594230 | − | 0.498618i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 4.83029 | + | 1.75808i | 0.285621 | + | 0.103957i | ||||
\(287\) | 3.33570 | − | 5.77759i | 0.196900 | − | 0.341041i | ||||
\(288\) | 5.76835 | − | 7.49176i | 0.339903 | − | 0.441456i | ||||
\(289\) | −11.4457 | − | 19.8246i | −0.673277 | − | 1.16615i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −1.57951 | + | 23.7971i | −0.0925927 | + | 1.39501i | ||||
\(292\) | 8.23067 | − | 2.99572i | 0.481664 | − | 0.175311i | ||||
\(293\) | 1.10363 | − | 6.25900i | 0.0644748 | − | 0.365655i | −0.935451 | − | 0.353457i | \(-0.885006\pi\) |
0.999926 | − | 0.0121977i | \(-0.00388276\pi\) | |||||||
\(294\) | −1.92899 | − | 0.473712i | −0.112501 | − | 0.0276274i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −2.68161 | −0.155866 | ||||||||
\(297\) | −12.3366 | − | 22.6195i | −0.715842 | − | 1.31252i | ||||
\(298\) | −6.37651 | −0.369381 | ||||||||
\(299\) | −18.5732 | + | 15.5848i | −1.07412 | + | 0.901290i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 2.05380 | − | 11.6477i | 0.118379 | − | 0.671360i | ||||
\(302\) | −1.34493 | + | 0.489516i | −0.0773922 | + | 0.0281685i | ||||
\(303\) | 17.7544 | − | 8.73727i | 1.01997 | − | 0.501943i | ||||
\(304\) | 4.22093 | + | 23.9381i | 0.242087 | + | 1.37294i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 3.53462 | + | 3.87019i | 0.202061 | + | 0.221244i | ||||
\(307\) | 4.29280 | − | 7.43535i | 0.245003 | − | 0.424358i | −0.717129 | − | 0.696940i | \(-0.754544\pi\) |
0.962133 | + | 0.272582i | \(0.0878777\pi\) | |||||||
\(308\) | 15.1415 | + | 5.51106i | 0.862767 | + | 0.314022i | ||||
\(309\) | 9.39206 | + | 12.8314i | 0.534295 | + | 0.729952i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −8.78608 | − | 7.37239i | −0.498213 | − | 0.418050i | 0.358746 | − | 0.933435i | \(-0.383204\pi\) |
−0.856959 | + | 0.515385i | \(0.827649\pi\) | |||||||
\(312\) | −7.00360 | + | 0.761158i | −0.396501 | + | 0.0430921i | ||||
\(313\) | 23.4476 | + | 8.53424i | 1.32534 | + | 0.482384i | 0.905165 | − | 0.425060i | \(-0.139747\pi\) |
0.420173 | + | 0.907444i | \(0.361969\pi\) | |||||||
\(314\) | 1.91605 | − | 3.31870i | 0.108129 | − | 0.187285i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −15.6794 | − | 27.1575i | −0.882034 | − | 1.52773i | ||||
\(317\) | 0.110144 | + | 0.624658i | 0.00618630 | + | 0.0350843i | 0.987745 | − | 0.156078i | \(-0.0498853\pi\) |
−0.981558 | + | 0.191163i | \(0.938774\pi\) | |||||||
\(318\) | 0.148691 | + | 0.0995304i | 0.00833820 | + | 0.00558139i | ||||
\(319\) | 0.701069 | − | 0.255168i | 0.0392524 | − | 0.0142867i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0.526875 | + | 1.81321i | 0.0294073 | + | 0.101203i | ||||
\(322\) | 2.31612 | − | 1.94346i | 0.129072 | − | 0.108305i | ||||
\(323\) | −43.2860 | −2.40850 | ||||||||
\(324\) | 14.1477 | + | 9.97623i | 0.785983 | + | 0.554235i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 0.631648 | − | 0.530015i | 0.0349837 | − | 0.0293548i | ||||
\(327\) | 0.277890 | + | 0.956342i | 0.0153674 | + | 0.0528858i | ||||
\(328\) | 0.744208 | − | 4.22062i | 0.0410920 | − | 0.233045i | ||||
\(329\) | −9.84024 | + | 3.58155i | −0.542510 | + | 0.197457i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −3.50296 | − | 19.8662i | −0.192540 | − | 1.09195i | −0.915879 | − | 0.401455i | \(-0.868505\pi\) |
0.723339 | − | 0.690493i | \(-0.242606\pi\) | |||||||
\(332\) | 10.7536 | + | 18.6258i | 0.590180 | + | 1.02222i | ||||
\(333\) | −0.311078 | − | 7.40593i | −0.0170470 | − | 0.405843i | ||||
\(334\) | −2.59540 | + | 4.49537i | −0.142014 | + | 0.245976i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −10.3178 | + | 1.12135i | −0.562883 | + | 0.0611746i | ||||
\(337\) | 23.2996 | + | 19.5507i | 1.26921 | + | 1.06499i | 0.994637 | + | 0.103428i | \(0.0329812\pi\) |
0.274574 | + | 0.961566i | \(0.411463\pi\) | |||||||
\(338\) | 0.221365 | + | 0.185747i | 0.0120407 | + | 0.0101033i | ||||
\(339\) | −18.0230 | − | 24.6229i | −0.978875 | − | 1.33733i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 15.1969 | − | 26.3217i | 0.822956 | − | 1.42540i | ||||
\(342\) | 5.55460 | − | 1.22179i | 0.300358 | − | 0.0660668i | ||||
\(343\) | 9.41512 | + | 16.3075i | 0.508369 | + | 0.880520i | ||||
\(344\) | −1.31937 | − | 7.48250i | −0.0711355 | − | 0.403429i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −2.18271 | + | 0.794442i | −0.117343 | + | 0.0427094i | ||||
\(347\) | 6.41781 | − | 36.3972i | 0.344526 | − | 1.95391i | 0.0481276 | − | 0.998841i | \(-0.484675\pi\) |
0.296399 | − | 0.955064i | \(-0.404214\pi\) | |||||||
\(348\) | −0.346937 | + | 0.361816i | −0.0185978 | + | 0.0193954i | ||||
\(349\) | 5.58600 | − | 4.68721i | 0.299012 | − | 0.250901i | −0.480921 | − | 0.876764i | \(-0.659698\pi\) |
0.779933 | + | 0.625863i | \(0.215253\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −2.91457 | − | 19.2539i | −0.155568 | − | 1.02769i | ||||
\(352\) | 15.6278 | 0.832962 | ||||||||
\(353\) | −8.72291 | + | 7.31939i | −0.464273 | + | 0.389572i | −0.844700 | − | 0.535239i | \(-0.820221\pi\) |
0.380427 | + | 0.924811i | \(0.375777\pi\) | |||||||
\(354\) | −0.169783 | − | 0.0416944i | −0.00902385 | − | 0.00221603i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −16.5664 | + | 6.02968i | −0.878018 | + | 0.319573i | ||||
\(357\) | 1.22403 | − | 18.4414i | 0.0647824 | − | 0.976020i | ||||
\(358\) | −1.12519 | − | 6.38128i | −0.0594682 | − | 0.337261i | ||||
\(359\) | −12.4562 | − | 21.5748i | −0.657414 | − | 1.13867i | −0.981283 | − | 0.192573i | \(-0.938317\pi\) |
0.323869 | − | 0.946102i | \(-0.395016\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −13.9847 | + | 24.2223i | −0.736039 | + | 1.27486i | ||||
\(362\) | 2.09015 | + | 0.760754i | 0.109856 | + | 0.0399843i | ||||
\(363\) | 9.49544 | − | 21.5317i | 0.498381 | − | 1.13012i | ||||
\(364\) | 9.32920 | + | 7.82813i | 0.488983 | + | 0.410305i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 1.19427 | − | 2.70812i | 0.0624257 | − | 0.141555i | ||||
\(367\) | 27.0081 | + | 9.83014i | 1.40981 | + | 0.513129i | 0.931074 | − | 0.364830i | \(-0.118873\pi\) |
0.478736 | + | 0.877959i | \(0.341095\pi\) | |||||||
\(368\) | −11.4730 | + | 19.8718i | −0.598071 | + | 1.03589i | ||||
\(369\) | 11.7426 | + | 1.56571i | 0.611295 | + | 0.0815074i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −0.109560 | − | 0.621347i | −0.00568808 | − | 0.0322587i | ||||
\(372\) | −1.35247 | + | 20.3765i | −0.0701224 | + | 1.05647i | ||||
\(373\) | −17.4252 | + | 6.34227i | −0.902245 | + | 0.328390i | −0.751152 | − | 0.660129i | \(-0.770501\pi\) |
−0.151093 | + | 0.988520i | \(0.548279\pi\) | |||||||
\(374\) | −1.50432 | + | 8.53145i | −0.0777868 | + | 0.441151i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −5.15326 | + | 4.32410i | −0.265759 | + | 0.222998i | ||||
\(377\) | 0.563875 | 0.0290410 | ||||||||
\(378\) | 0.363454 | + | 2.40100i | 0.0186940 | + | 0.123494i | ||||
\(379\) | 23.8701 | 1.22613 | 0.613063 | − | 0.790034i | \(-0.289937\pi\) | ||||
0.613063 | + | 0.790034i | \(0.289937\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −9.53861 | + | 9.94768i | −0.488678 | + | 0.509635i | ||||
\(382\) | 0.127212 | − | 0.721455i | 0.00650873 | − | 0.0369129i | ||||
\(383\) | −28.7180 | + | 10.4525i | −1.46742 | + | 0.534097i | −0.947398 | − | 0.320057i | \(-0.896298\pi\) |
−0.520021 | + | 0.854154i | \(0.674076\pi\) | |||||||
\(384\) | −12.4705 | + | 6.13698i | −0.636385 | + | 0.313176i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −1.90439 | − | 3.29849i | −0.0969307 | − | 0.167889i | ||||
\(387\) | 20.5117 | − | 4.51175i | 1.04267 | − | 0.229345i | ||||
\(388\) | 13.2427 | − | 22.9370i | 0.672296 | − | 1.16445i | ||||
\(389\) | 7.60180 | + | 2.76683i | 0.385427 | + | 0.140284i | 0.527464 | − | 0.849578i | \(-0.323143\pi\) |
−0.142037 | + | 0.989861i | \(0.545365\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −31.3019 | − | 26.2654i | −1.58301 | − | 1.32830i | ||||
\(392\) | 3.44676 | + | 2.89217i | 0.174088 | + | 0.146077i | ||||
\(393\) | −14.5612 | + | 1.58253i | −0.734516 | + | 0.0798279i | ||||
\(394\) | −2.82812 | − | 1.02935i | −0.142479 | − | 0.0518580i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 1.20078 | + | 28.5874i | 0.0603416 | + | 1.43657i | ||||
\(397\) | −9.75843 | − | 16.9021i | −0.489762 | − | 0.848292i | 0.510169 | − | 0.860074i | \(-0.329583\pi\) |
−0.999931 | + | 0.0117821i | \(0.996250\pi\) | |||||||
\(398\) | −0.920780 | − | 5.22200i | −0.0461545 | − | 0.261755i | ||||
\(399\) | −16.6656 | − | 11.1556i | −0.834325 | − | 0.558477i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 2.44572 | − | 13.8704i | 0.122134 | − | 0.692654i | −0.860835 | − | 0.508883i | \(-0.830058\pi\) |
0.982969 | − | 0.183771i | \(-0.0588305\pi\) | |||||||
\(402\) | −0.0829717 | − | 0.285542i | −0.00413825 | − | 0.0142415i | ||||
\(403\) | 17.5973 | − | 14.7659i | 0.876582 | − | 0.735540i | ||||
\(404\) | −21.9749 | −1.09329 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −0.0703165 | −0.00348975 | ||||||||
\(407\) | 9.38520 | − | 7.87512i | 0.465207 | − | 0.390355i | ||||
\(408\) | −3.31294 | − | 11.4013i | −0.164015 | − | 0.564448i | ||||
\(409\) | 0.282399 | − | 1.60156i | 0.0139637 | − | 0.0791923i | −0.977030 | − | 0.213104i | \(-0.931643\pi\) |
0.990993 | + | 0.133912i | \(0.0427538\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −0.570850 | − | 0.382113i | −0.0281580 | − | 0.0188482i | ||||
\(412\) | −3.06643 | − | 17.3906i | −0.151072 | − | 0.856774i | ||||
\(413\) | 0.308235 | + | 0.533879i | 0.0151673 | + | 0.0262705i | ||||
\(414\) | 4.75812 | + | 2.48693i | 0.233849 | + | 0.122226i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 11.0991 | + | 4.03976i | 0.544181 | + | 0.198066i | ||||
\(417\) | 8.06552 | − | 0.876569i | 0.394970 | − | 0.0429257i | ||||
\(418\) | 7.20101 | + | 6.04236i | 0.352213 | + | 0.295542i | ||||
\(419\) | −24.5436 | − | 20.5945i | −1.19903 | − | 1.00611i | −0.999657 | − | 0.0261853i | \(-0.991664\pi\) |
−0.199376 | − | 0.979923i | \(-0.563892\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −3.21532 | − | 1.17028i | −0.156705 | − | 0.0570360i | 0.262477 | − | 0.964938i | \(-0.415461\pi\) |
−0.419182 | + | 0.907902i | \(0.637683\pi\) | |||||||
\(422\) | −2.09147 | + | 3.62254i | −0.101811 | + | 0.176342i | ||||
\(423\) | −12.5398 | − | 13.7304i | −0.609708 | − | 0.667593i | ||||
\(424\) | −0.202657 | − | 0.351011i | −0.00984187 | − | 0.0170466i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 2.92162 | − | 1.43778i | 0.141553 | − | 0.0696607i | ||||
\(427\) | −9.80721 | + | 3.56953i | −0.474604 | + | 0.172742i | ||||
\(428\) | 0.364121 | − | 2.06504i | 0.0176005 | − | 0.0998173i | ||||
\(429\) | 22.2761 | − | 23.2315i | 1.07550 | − | 1.12163i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 33.8955 | 1.63269 | 0.816344 | − | 0.577565i | \(-0.195997\pi\) | ||||
0.816344 | + | 0.577565i | \(0.195997\pi\) | |||||||
\(432\) | −8.82423 | − | 16.1795i | −0.424556 | − | 0.778437i | ||||
\(433\) | 17.6676 | 0.849049 | 0.424524 | − | 0.905417i | \(-0.360441\pi\) | ||||
0.424524 | + | 0.905417i | \(0.360441\pi\) | |||||||
\(434\) | −2.19442 | + | 1.84134i | −0.105336 | + | 0.0883870i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0.192049 | − | 1.08916i | 0.00919748 | − | 0.0521615i | ||||
\(437\) | −41.6649 | + | 15.1648i | −1.99310 | + | 0.725430i | ||||
\(438\) | −0.144494 | + | 2.17696i | −0.00690418 | + | 0.104019i | ||||
\(439\) | 1.25144 | + | 7.09728i | 0.0597281 | + | 0.338735i | 0.999999 | − | 0.00169354i | \(-0.000539072\pi\) |
−0.940270 | + | 0.340428i | \(0.889428\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −7.58761 | + | 9.85457i | −0.361315 | + | 0.469265i | ||||
\(442\) | −3.27377 | + | 5.67034i | −0.155718 | + | 0.269711i | ||||
\(443\) | −32.5861 | − | 11.8604i | −1.54821 | − | 0.563504i | −0.580216 | − | 0.814463i | \(-0.697032\pi\) |
−0.967998 | + | 0.250959i | \(0.919254\pi\) | |||||||
\(444\) | −3.32152 | + | 7.53183i | −0.157632 | + | 0.357445i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 0.987830 | + | 0.828888i | 0.0467751 | + | 0.0392490i | ||||
\(447\) | −16.1104 | + | 36.5318i | −0.761998 | + | 1.72789i | ||||
\(448\) | 9.87731 | + | 3.59505i | 0.466659 | + | 0.169850i | ||||
\(449\) | −4.87046 | + | 8.43589i | −0.229851 | + | 0.398114i | −0.957764 | − | 0.287556i | \(-0.907157\pi\) |
0.727913 | + | 0.685670i | \(0.240491\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 9.79011 | + | 16.9570i | 0.460998 | + | 0.798473i | ||||
\(452\) | 5.88437 | + | 33.3719i | 0.276777 | + | 1.56968i | ||||
\(453\) | −0.593521 | + | 8.94206i | −0.0278861 | + | 0.420135i | ||||
\(454\) | 0.0518609 | − | 0.0188758i | 0.00243395 | − | 0.000885886i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −12.5114 | − | 3.07250i | −0.585902 | − | 0.143883i | ||||
\(457\) | −24.2137 | + | 20.3177i | −1.13267 | + | 0.950421i | −0.999174 | − | 0.0406289i | \(-0.987064\pi\) |
−0.133493 | + | 0.991050i | \(0.542619\pi\) | |||||||
\(458\) | 4.80424 | 0.224487 | ||||||||
\(459\) | 31.1031 | − | 10.4721i | 1.45177 | − | 0.488796i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −13.9469 | + | 11.7028i | −0.649572 | + | 0.545056i | −0.906941 | − | 0.421258i | \(-0.861589\pi\) |
0.257369 | + | 0.966313i | \(0.417144\pi\) | |||||||
\(462\) | −2.77789 | + | 2.89702i | −0.129239 | + | 0.134781i | ||||
\(463\) | −4.90983 | + | 27.8450i | −0.228179 | + | 1.29407i | 0.628334 | + | 0.777943i | \(0.283737\pi\) |
−0.856513 | + | 0.516125i | \(0.827374\pi\) | |||||||
\(464\) | 0.501467 | − | 0.182519i | 0.0232800 | − | 0.00847324i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −0.759430 | − | 4.30694i | −0.0351799 | − | 0.199515i | ||||
\(467\) | −7.02539 | − | 12.1683i | −0.325096 | − | 0.563083i | 0.656435 | − | 0.754382i | \(-0.272063\pi\) |
−0.981532 | + | 0.191299i | \(0.938730\pi\) | |||||||
\(468\) | −6.53700 | + | 20.6138i | −0.302173 | + | 0.952871i | ||||
\(469\) | −0.524257 | + | 0.908040i | −0.0242080 | + | 0.0419294i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −14.1723 | − | 19.3621i | −0.653024 | − | 0.892159i | ||||
\(472\) | 0.303371 | + | 0.254559i | 0.0139638 | + | 0.0117170i | ||||
\(473\) | 26.5915 | + | 22.3129i | 1.22268 | + | 1.02595i | ||||
\(474\) | 7.76542 | − | 0.843953i | 0.356678 | − | 0.0387641i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −10.2623 | + | 17.7748i | −0.470372 | + | 0.814708i | ||||
\(477\) | 0.945895 | − | 0.600404i | 0.0433096 | − | 0.0274906i | ||||
\(478\) | 4.15161 | + | 7.19080i | 0.189890 | + | 0.328900i | ||||
\(479\) | 1.21657 | + | 6.89953i | 0.0555867 | + | 0.315248i | 0.999905 | − | 0.0137857i | \(-0.00438826\pi\) |
−0.944318 | + | 0.329033i | \(0.893277\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 8.70127 | − | 3.16700i | 0.396744 | − | 0.144403i | ||||
\(482\) | −0.172411 | + | 0.977792i | −0.00785311 | + | 0.0445372i | ||||
\(483\) | −5.28254 | − | 18.1795i | −0.240364 | − | 0.827198i | ||||
\(484\) | −20.0193 | + | 16.7982i | −0.909969 | + | 0.763555i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −3.69566 | + | 2.22173i | −0.167639 | + | 0.100780i | ||||
\(487\) | 20.2826 | 0.919093 | 0.459547 | − | 0.888154i | \(-0.348012\pi\) | ||||
0.459547 | + | 0.888154i | \(0.348012\pi\) | |||||||
\(488\) | −5.13596 | + | 4.30958i | −0.232494 | + | 0.195086i | ||||
\(489\) | −1.44064 | − | 4.95789i | −0.0651482 | − | 0.224203i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 4.72637 | − | 1.72026i | 0.213298 | − | 0.0776342i | −0.233161 | − | 0.972438i | \(-0.574907\pi\) |
0.446459 | + | 0.894804i | \(0.352685\pi\) | |||||||
\(492\) | −10.9326 | − | 7.31803i | −0.492881 | − | 0.329922i | ||||
\(493\) | 0.165020 | + | 0.935876i | 0.00743213 | + | 0.0421497i | ||||
\(494\) | 3.55236 | + | 6.15286i | 0.159828 | + | 0.276830i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 10.8701 | − | 18.8277i | 0.488084 | − | 0.845387i | ||||
\(497\) | −10.7896 | − | 3.92709i | −0.483979 | − | 0.176154i | ||||
\(498\) | −5.32586 | + | 0.578820i | −0.238658 | + | 0.0259375i | ||||
\(499\) | 18.3084 | + | 15.3625i | 0.819595 | + | 0.687722i | 0.952877 | − | 0.303356i | \(-0.0981072\pi\) |
−0.133282 | + | 0.991078i | \(0.542552\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 19.1972 | + | 26.2271i | 0.857666 | + | 1.17174i | ||||
\(502\) | −6.66653 | − | 2.42642i | −0.297542 | − | 0.108296i | ||||
\(503\) | −4.04017 | + | 6.99778i | −0.180142 | + | 0.312015i | −0.941929 | − | 0.335813i | \(-0.890989\pi\) |
0.761787 | + | 0.647828i | \(0.224322\pi\) | |||||||
\(504\) | 1.66279 | − | 5.24343i | 0.0740664 | − | 0.233561i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 1.54092 | + | 8.73897i | 0.0685020 | + | 0.388494i | ||||
\(507\) | 1.62346 | − | 0.798931i | 0.0721002 | − | 0.0354818i | ||||
\(508\) | 14.3821 | − | 5.23467i | 0.638104 | − | 0.232251i | ||||
\(509\) | 2.73491 | − | 15.5104i | 0.121223 | − | 0.687487i | −0.862257 | − | 0.506470i | \(-0.830950\pi\) |
0.983480 | − | 0.181017i | \(-0.0579389\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 5.89335 | − | 4.94511i | 0.260707 | − | 0.218759i | ||||
\(512\) | 18.8770 | 0.834254 | ||||||||
\(513\) | 7.03408 | − | 34.9098i | 0.310562 | − | 1.54131i | ||||
\(514\) | 2.31856 | 0.102267 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −22.6503 | − | 5.56234i | −0.997122 | − | 0.244868i | ||||
\(517\) | 5.33693 | − | 30.2672i | 0.234718 | − | 1.33115i | ||||
\(518\) | −1.08507 | + | 0.394933i | −0.0476752 | + | 0.0173523i | ||||
\(519\) | −0.963233 | + | 14.5122i | −0.0422813 | + | 0.637015i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 6.71663 | + | 11.6335i | 0.294261 | + | 0.509675i | 0.974813 | − | 0.223025i | \(-0.0715932\pi\) |
−0.680552 | + | 0.732700i | \(0.738260\pi\) | |||||||
\(522\) | −0.0475919 | − | 0.115437i | −0.00208304 | − | 0.00505253i | ||||
\(523\) | −9.04762 | + | 15.6709i | −0.395625 | + | 0.685242i | −0.993181 | − | 0.116585i | \(-0.962805\pi\) |
0.597556 | + | 0.801827i | \(0.296139\pi\) | |||||||
\(524\) | 15.2848 | + | 5.56323i | 0.667721 | + | 0.243031i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −1.07841 | − | 0.904889i | −0.0470207 | − | 0.0394551i | ||||
\(527\) | 29.6572 | + | 24.8853i | 1.29189 | + | 1.08402i | ||||
\(528\) | 12.2910 | − | 27.8708i | 0.534896 | − | 1.21292i | ||||
\(529\) | −17.7185 | − | 6.44901i | −0.770370 | − | 0.280392i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −0.667833 | + | 0.867363i | −0.0289815 | + | 0.0376404i | ||||
\(532\) | 11.1356 | + | 19.2874i | 0.482789 | + | 0.836214i | ||||
\(533\) | 2.56978 | + | 14.5739i | 0.111309 | + | 0.631267i | ||||
\(534\) | 0.290832 | − | 4.38172i | 0.0125855 | − | 0.189615i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −0.116964 | + | 0.663337i | −0.00505208 | + | 0.0286518i | ||||
\(537\) | −39.4020 | − | 9.67614i | −1.70032 | − | 0.417556i | ||||
\(538\) | 5.98892 | − | 5.02530i | 0.258201 | − | 0.216656i | ||||
\(539\) | −20.5565 | −0.885433 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 10.6112 | 0.456211 | 0.228106 | − | 0.973636i | \(-0.426747\pi\) | ||||
0.228106 | + | 0.973636i | \(0.426747\pi\) | |||||||
\(542\) | −3.66366 | + | 3.07417i | −0.157368 | + | 0.132047i | ||||
\(543\) | 9.63929 | − | 10.0527i | 0.413661 | − | 0.431402i | ||||
\(544\) | −3.45667 | + | 19.6038i | −0.148204 | + | 0.840505i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −2.72179 | + | 1.33944i | −0.116482 | + | 0.0573227i | ||||
\(547\) | 2.92380 | + | 16.5817i | 0.125013 | + | 0.708983i | 0.981300 | + | 0.192483i | \(0.0616541\pi\) |
−0.856287 | + | 0.516500i | \(0.827235\pi\) | |||||||
\(548\) | 0.381429 | + | 0.660654i | 0.0162938 | + | 0.0282217i | ||||
\(549\) | −12.4978 | − | 13.6843i | −0.533391 | − | 0.584031i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 0.968993 | + | 0.352685i | 0.0412805 | + | 0.0150249i | ||||
\(552\) | −7.18319 | − | 9.81364i | −0.305737 | − | 0.417696i | ||||
\(553\) | −21.0995 | − | 17.7046i | −0.897241 | − | 0.752875i | ||||
\(554\) | −0.877326 | − | 0.736164i | −0.0372740 | − | 0.0312766i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −8.46634 | − | 3.08149i | −0.359053 | − | 0.130684i | ||||
\(557\) | −2.30112 | + | 3.98565i | −0.0975015 | + | 0.168877i | −0.910650 | − | 0.413179i | \(-0.864418\pi\) |
0.813148 | + | 0.582056i | \(0.197752\pi\) | |||||||
\(558\) | −4.50811 | − | 2.35626i | −0.190844 | − | 0.0997484i | ||||
\(559\) | 13.1179 | + | 22.7209i | 0.554830 | + | 0.960994i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 45.0770 | + | 30.1734i | 1.90315 | + | 1.27392i | ||||
\(562\) | 4.98966 | − | 1.81609i | 0.210476 | − | 0.0766070i | ||||
\(563\) | 1.86442 | − | 10.5736i | 0.0785758 | − | 0.445626i | −0.919983 | − | 0.391958i | \(-0.871798\pi\) |
0.998559 | − | 0.0536674i | \(-0.0170911\pi\) | |||||||
\(564\) | 5.76209 | + | 19.8299i | 0.242628 | + | 0.834988i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −2.64037 | −0.110983 | ||||||||
\(567\) | 14.6739 | + | 3.98393i | 0.616246 | + | 0.167310i | ||||
\(568\) | −7.37610 | −0.309494 | ||||||||
\(569\) | 10.4618 | − | 8.77850i | 0.438582 | − | 0.368014i | −0.396597 | − | 0.917993i | \(-0.629809\pi\) |
0.835178 | + | 0.549979i | \(0.185364\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −2.92720 | + | 16.6010i | −0.122499 | + | 0.694729i | 0.860262 | + | 0.509852i | \(0.170300\pi\) |
−0.982762 | + | 0.184877i | \(0.940811\pi\) | |||||||
\(572\) | −33.5875 | + | 12.2248i | −1.40436 | + | 0.511147i | ||||
\(573\) | −3.81190 | − | 2.55159i | −0.159244 | − | 0.106594i | ||||
\(574\) | −0.320457 | − | 1.81740i | −0.0133756 | − | 0.0758569i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 0.783310 | + | 18.6485i | 0.0326379 | + | 0.777022i | ||||
\(577\) | 7.71289 | − | 13.3591i | 0.321092 | − | 0.556147i | −0.659622 | − | 0.751598i | \(-0.729284\pi\) |
0.980714 | + | 0.195450i | \(0.0626168\pi\) | |||||||
\(578\) | −5.95034 | − | 2.16575i | −0.247502 | − | 0.0900832i | ||||
\(579\) | −23.7090 | + | 2.57671i | −0.985311 | + | 0.107085i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 14.4709 | + | 12.1426i | 0.600355 | + | 0.503758i | ||||
\(582\) | 3.89661 | + | 5.32354i | 0.161520 | + | 0.220668i | ||||
\(583\) | 1.74008 | + | 0.633338i | 0.0720668 | + | 0.0262302i | ||||
\(584\) | 2.47108 | − | 4.28003i | 0.102254 | − | 0.177109i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −0.879036 | − | 1.52254i | −0.0363126 | − | 0.0628953i | ||||
\(587\) | −2.05906 | − | 11.6775i | −0.0849866 | − | 0.481983i | −0.997359 | − | 0.0726229i | \(-0.976863\pi\) |
0.912373 | − | 0.409360i | \(-0.134248\pi\) | |||||||
\(588\) | 12.3925 | − | 6.09856i | 0.511057 | − | 0.251500i | ||||
\(589\) | 39.4757 | − | 14.3680i | 1.62657 | − | 0.592022i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −13.0426 | + | 13.6020i | −0.536502 | + | 0.559510i | ||||
\(592\) | 6.71313 | − | 5.63298i | 0.275908 | − | 0.231514i | ||||
\(593\) | 34.8582 | 1.43146 | 0.715728 | − | 0.698379i | \(-0.246095\pi\) | ||||
0.715728 | + | 0.698379i | \(0.246095\pi\) | |||||||
\(594\) | −6.63609 | − | 2.59961i | −0.272282 | − | 0.106663i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 33.9658 | − | 28.5007i | 1.39129 | − | 1.16743i | ||||
\(597\) | −32.2439 | − | 7.91829i | −1.31965 | − | 0.324074i | ||||
\(598\) | −1.16462 | + | 6.60492i | −0.0476251 | + | 0.270095i | ||||
\(599\) | 11.2279 | − | 4.08662i | 0.458759 | − | 0.166975i | −0.102294 | − | 0.994754i | \(-0.532618\pi\) |
0.561054 | + | 0.827779i | \(0.310396\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 3.39336 | + | 19.2447i | 0.138418 | + | 0.785007i | 0.972418 | + | 0.233243i | \(0.0749338\pi\) |
−0.834001 | + | 0.551764i | \(0.813955\pi\) | |||||||
\(602\) | −1.63584 | − | 2.83336i | −0.0666718 | − | 0.115479i | ||||
\(603\) | −1.84553 | − | 0.246075i | −0.0751560 | − | 0.0100210i | ||||
\(604\) | 4.97611 | − | 8.61887i | 0.202475 | − | 0.350697i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 2.20867 | − | 5.00833i | 0.0897209 | − | 0.203450i | ||||
\(607\) | −7.81863 | − | 6.56061i | −0.317348 | − | 0.266287i | 0.470173 | − | 0.882574i | \(-0.344192\pi\) |
−0.787521 | + | 0.616287i | \(0.788636\pi\) | |||||||
\(608\) | 16.5467 | + | 13.8843i | 0.671055 | + | 0.563082i | ||||
\(609\) | −0.177657 | + | 0.402852i | −0.00719902 | + | 0.0163244i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 11.6144 | − | 20.1168i | 0.469870 | − | 0.813839i | ||||
\(612\) | −36.1262 | − | 4.81691i | −1.46032 | − | 0.194712i | ||||
\(613\) | 7.38192 | + | 12.7859i | 0.298153 | + | 0.516416i | 0.975713 | − | 0.219051i | \(-0.0702961\pi\) |
−0.677560 | + | 0.735467i | \(0.736963\pi\) | |||||||
\(614\) | −0.412406 | − | 2.33887i | −0.0166433 | − | 0.0943890i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 8.54350 | − | 3.10958i | 0.344228 | − | 0.125289i | ||||
\(617\) | 5.66996 | − | 32.1559i | 0.228264 | − | 1.29455i | −0.628082 | − | 0.778147i | \(-0.716160\pi\) |
0.856346 | − | 0.516402i | \(-0.172729\pi\) | |||||||
\(618\) | 4.27173 | + | 1.04903i | 0.171834 | + | 0.0421982i | ||||
\(619\) | 11.2792 | − | 9.46438i | 0.453350 | − | 0.380406i | −0.387327 | − | 0.921942i | \(-0.626602\pi\) |
0.840677 | + | 0.541537i | \(0.182157\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 26.2695 | − | 20.9766i | 1.05416 | − | 0.841760i | ||||
\(622\) | −3.17267 | −0.127212 | ||||||||
\(623\) | −11.8619 | + | 9.95335i | −0.475239 | + | 0.398773i | ||||
\(624\) | 15.9339 | − | 16.6172i | 0.637865 | − | 0.665220i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 6.48608 | − | 2.36074i | 0.259236 | − | 0.0943541i | ||||
\(627\) | 52.8110 | − | 25.9892i | 2.10907 | − | 1.03791i | ||||
\(628\) | 4.62714 | + | 26.2418i | 0.184643 | + | 1.04716i | ||||
\(629\) | 7.80281 | + | 13.5149i | 0.311118 | + | 0.538873i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 12.9621 | − | 22.4511i | 0.516014 | − | 0.893762i | −0.483813 | − | 0.875171i | \(-0.660749\pi\) |
0.999827 | − | 0.0185911i | \(-0.00591806\pi\) | |||||||
\(632\) | −16.6269 | − | 6.05170i | −0.661383 | − | 0.240724i | ||||
\(633\) | 15.4698 | + | 21.1347i | 0.614868 | + | 0.840031i | ||||
\(634\) | 0.134409 | + | 0.112782i | 0.00533806 | + | 0.00447916i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −1.23690 | + | 0.134427i | −0.0490463 | + | 0.00533040i | ||||
\(637\) | −14.5997 | − | 5.31385i | −0.578460 | − | 0.210542i | ||||
\(638\) | 0.103188 | − | 0.178727i | 0.00408525 | − | 0.00707585i | ||||
\(639\) | −0.855657 | − | 20.3709i | −0.0338493 | − | 0.805860i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −3.45147 | − | 19.5742i | −0.136325 | − | 0.773136i | −0.973928 | − | 0.226857i | \(-0.927155\pi\) |
0.837603 | − | 0.546279i | \(-0.183956\pi\) | |||||||
\(642\) | 0.434048 | + | 0.290541i | 0.0171305 | + | 0.0114668i | ||||
\(643\) | 31.1702 | − | 11.3450i | 1.22923 | − | 0.447404i | 0.355897 | − | 0.934525i | \(-0.384175\pi\) |
0.873334 | + | 0.487121i | \(0.161953\pi\) | |||||||
\(644\) | −3.65075 | + | 20.7044i | −0.143860 | + | 0.815869i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −9.17244 | + | 7.69659i | −0.360885 | + | 0.302818i | ||||
\(647\) | −18.8740 | −0.742014 | −0.371007 | − | 0.928630i | \(-0.620987\pi\) | ||||
−0.371007 | + | 0.928630i | \(0.620987\pi\) | |||||||
\(648\) | 9.73341 | − | 0.819127i | 0.382364 | − | 0.0321783i | ||||
\(649\) | −1.80931 | −0.0710217 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 5.00497 | + | 17.2243i | 0.196160 | + | 0.675074i | ||||
\(652\) | −0.995625 | + | 5.64647i | −0.0389917 | + | 0.221133i | ||||
\(653\) | −25.7663 | + | 9.37817i | −1.00831 | + | 0.366996i | −0.792785 | − | 0.609502i | \(-0.791370\pi\) |
−0.215528 | + | 0.976498i | \(0.569147\pi\) | |||||||
\(654\) | 0.228931 | + | 0.153241i | 0.00895190 | + | 0.00599218i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 7.00276 | + | 12.1291i | 0.273412 | + | 0.473563i | ||||
\(657\) | 12.1070 | + | 6.32798i | 0.472339 | + | 0.246878i | ||||
\(658\) | −1.44835 | + | 2.50861i | −0.0564625 | + | 0.0977959i | ||||
\(659\) | −4.90832 | − | 1.78648i | −0.191201 | − | 0.0695915i | 0.244645 | − | 0.969613i | \(-0.421329\pi\) |
−0.435846 | + | 0.900021i | \(0.643551\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 17.4652 | + | 14.6551i | 0.679319 | + | 0.570017i | 0.915807 | − | 0.401618i | \(-0.131552\pi\) |
−0.236488 | + | 0.971634i | \(0.575996\pi\) | |||||||
\(662\) | −4.27466 | − | 3.58687i | −0.166139 | − | 0.139408i | ||||
\(663\) | 24.2148 | + | 33.0821i | 0.940424 | + | 1.28480i | ||||
\(664\) | 11.4035 | + | 4.15052i | 0.442540 | + | 0.161071i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −1.38275 | − | 1.51403i | −0.0535805 | − | 0.0586674i | ||||
\(667\) | 0.486714 | + | 0.843014i | 0.0188456 | + | 0.0326416i | ||||
\(668\) | −6.26772 | − | 35.5460i | −0.242505 | − | 1.37532i | ||||
\(669\) | 7.24458 | − | 3.56519i | 0.280092 | − | 0.137838i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 5.31901 | − | 30.1656i | 0.205338 | − | 1.16453i | ||||
\(672\) | −6.38309 | + | 6.65684i | −0.246233 | + | 0.256793i | ||||
\(673\) | −13.3460 | + | 11.1986i | −0.514450 | + | 0.431675i | −0.862692 | − | 0.505730i | \(-0.831223\pi\) |
0.348242 | + | 0.937405i | \(0.386779\pi\) | |||||||
\(674\) | 8.41353 | 0.324077 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −2.00937 | −0.0772835 | ||||||||
\(677\) | 24.5750 | − | 20.6209i | 0.944495 | − | 0.792526i | −0.0338665 | − | 0.999426i | \(-0.510782\pi\) |
0.978362 | + | 0.206901i | \(0.0663377\pi\) | |||||||
\(678\) | −8.19728 | − | 2.01305i | −0.314815 | − | 0.0773107i | ||||
\(679\) | 4.03958 | − | 22.9096i | 0.155025 | − | 0.879189i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0.0228863 | − | 0.344808i | 0.000877005 | − | 0.0132131i | ||||
\(682\) | −1.45995 | − | 8.27978i | −0.0559043 | − | 0.317049i | ||||
\(683\) | −10.6001 | − | 18.3599i | −0.405600 | − | 0.702520i | 0.588791 | − | 0.808285i | \(-0.299604\pi\) |
−0.994391 | + | 0.105765i | \(0.966271\pi\) | |||||||
\(684\) | −24.1267 | + | 31.3351i | −0.922509 | + | 1.19813i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 4.89469 | + | 1.78152i | 0.186880 | + | 0.0680188i | ||||
\(687\) | 12.1381 | − | 27.5241i | 0.463096 | − | 1.05011i | ||||
\(688\) | 19.0206 | + | 15.9602i | 0.725153 | + | 0.608476i | ||||
\(689\) | 1.07212 | + | 0.899619i | 0.0408447 | + | 0.0342728i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −10.2500 | − | 3.73069i | −0.389928 | − | 0.141922i | 0.139614 | − | 0.990206i | \(-0.455414\pi\) |
−0.529542 | + | 0.848284i | \(0.677636\pi\) | |||||||
\(692\) | 8.07579 | − | 13.9877i | 0.306995 | − | 0.531732i | ||||
\(693\) | 9.57895 | + | 23.2342i | 0.363874 | + | 0.882596i | ||||
\(694\) | −5.11176 | − | 8.85382i | −0.194040 | − | 0.336086i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | −0.0187321 | + | 0.282220i | −0.000710038 | + | 0.0106975i | ||||
\(697\) | −23.4366 | + | 8.53023i | −0.887725 | + | 0.323106i | ||||
\(698\) | 0.350268 | − | 1.98647i | 0.0132578 | − | 0.0751889i | ||||
\(699\) | −26.5937 | − | 6.53075i | −1.00587 | − | 0.247016i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −16.5817 | −0.626282 | −0.313141 | − | 0.949707i | \(-0.601381\pi\) | ||||
−0.313141 | + | 0.949707i | \(0.601381\pi\) | |||||||
\(702\) | −4.04109 | − | 3.56172i | −0.152521 | − | 0.134428i | ||||
\(703\) | 16.9336 | 0.638662 | ||||||||
\(704\) | −23.6324 | + | 19.8300i | −0.890681 | + | 0.747370i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −0.546967 | + | 3.10200i | −0.0205854 | + | 0.116745i | ||||
\(707\) | −18.1372 | + | 6.60142i | −0.682121 | + | 0.248272i | ||||
\(708\) | 1.09074 | − | 0.536773i | 0.0409926 | − | 0.0201732i | ||||
\(709\) | −0.653972 | − | 3.70886i | −0.0245604 | − | 0.139289i | 0.970062 | − | 0.242858i | \(-0.0780849\pi\) |
−0.994622 | + | 0.103569i | \(0.966974\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 14.7845 | − | 46.6213i | 0.554461 | − | 1.74844i | ||||
\(712\) | −4.97370 | + | 8.61470i | −0.186397 | + | 0.322850i | ||||
\(713\) | 37.2648 | + | 13.5633i | 1.39558 | + | 0.507948i | ||||
\(714\) | −3.01964 | − | 4.12542i | −0.113007 | − | 0.154390i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 34.5156 | + | 28.9620i | 1.28991 | + | 1.08236i | ||||
\(717\) | 51.6861 | − | 5.61730i | 1.93025 | − | 0.209782i | ||||
\(718\) | −6.47568 | − | 2.35695i | −0.241670 | − | 0.0879608i | ||||
\(719\) | 0.0341167 | − | 0.0590919i | 0.00127234 | − | 0.00220375i | −0.865389 | − | 0.501101i | \(-0.832928\pi\) |
0.866661 | + | 0.498898i | \(0.166262\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −7.75519 | − | 13.4324i | −0.288818 | − | 0.500248i | ||||
\(722\) | 1.34350 | + | 7.61937i | 0.0499999 | + | 0.283564i | ||||
\(723\) | 5.16629 | + | 3.45819i | 0.192136 | + | 0.128611i | ||||
\(724\) | −14.5339 | + | 5.28992i | −0.540149 | + | 0.196598i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −1.81639 | − | 6.25100i | −0.0674127 | − | 0.231996i | ||||
\(727\) | 33.5717 | − | 28.1700i | 1.24511 | − | 1.04477i | 0.247998 | − | 0.968760i | \(-0.420227\pi\) |
0.997107 | − | 0.0760072i | \(-0.0242172\pi\) | |||||||
\(728\) | 6.87159 | 0.254678 | ||||||||
\(729\) | 3.39133 | + | 26.7862i | 0.125605 | + | 0.992080i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −33.8715 | + | 28.4215i | −1.25278 | + | 1.05121i | ||||
\(732\) | 5.74275 | + | 19.7633i | 0.212258 | + | 0.730473i | ||||
\(733\) | 0.894591 | − | 5.07348i | 0.0330425 | − | 0.187393i | −0.963819 | − | 0.266557i | \(-0.914114\pi\) |
0.996862 | + | 0.0791639i | \(0.0252250\pi\) | |||||||
\(734\) | 7.47097 | − | 2.71921i | 0.275759 | − | 0.100368i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 3.54075 | + | 20.0806i | 0.130514 | + | 0.740181i | ||||
\(737\) | −1.53867 | − | 2.66506i | −0.0566777 | − | 0.0981686i | ||||
\(738\) | 2.76669 | − | 1.75615i | 0.101843 | − | 0.0646447i | ||||
\(739\) | −0.515367 | + | 0.892642i | −0.0189581 | + | 0.0328364i | −0.875349 | − | 0.483492i | \(-0.839368\pi\) |
0.856391 | + | 0.516328i | \(0.172702\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 44.2256 | − | 4.80648i | 1.62467 | − | 0.176571i | ||||
\(742\) | −0.133696 | − | 0.112185i | −0.00490815 | − | 0.00411843i | ||||
\(743\) | −32.5316 | − | 27.2972i | −1.19347 | − | 1.00144i | −0.999792 | − | 0.0203733i | \(-0.993515\pi\) |
−0.193676 | − | 0.981066i | \(-0.562041\pi\) | |||||||
\(744\) | 6.80575 | + | 9.29799i | 0.249511 | + | 0.340881i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −2.56476 | + | 4.44229i | −0.0939025 | + | 0.162644i | ||||
\(747\) | −10.1398 | + | 31.9749i | −0.370997 | + | 1.16990i | ||||
\(748\) | −30.1194 | − | 52.1683i | −1.10127 | − | 1.90746i | ||||
\(749\) | −0.319820 | − | 1.81379i | −0.0116860 | − | 0.0662744i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 2.32349 | − | 0.845681i | 0.0847853 | − | 0.0308593i | −0.299279 | − | 0.954166i | \(-0.596746\pi\) |
0.384065 | + | 0.923306i | \(0.374524\pi\) | |||||||
\(752\) | 3.81745 | − | 21.6498i | 0.139208 | − | 0.789487i | ||||
\(753\) | −30.7444 | + | 32.0629i | −1.12039 | + | 1.16844i | ||||
\(754\) | 0.119487 | − | 0.100261i | 0.00435145 | − | 0.00365130i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −12.6676 | − | 11.1649i | −0.460717 | − | 0.406064i | ||||
\(757\) | −52.6699 | −1.91432 | −0.957160 | − | 0.289559i | \(-0.906491\pi\) | ||||
−0.957160 | + | 0.289559i | \(0.906491\pi\) | |||||||
\(758\) | 5.05816 | − | 4.24430i | 0.183721 | − | 0.154160i | ||||
\(759\) | 53.9598 | + | 13.2512i | 1.95862 | + | 0.480987i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −28.1597 | + | 10.2493i | −1.02079 | + | 0.371537i | −0.797567 | − | 0.603231i | \(-0.793880\pi\) |
−0.223222 | + | 0.974768i | \(0.571658\pi\) | |||||||
\(762\) | −0.252486 | + | 3.80398i | −0.00914660 | + | 0.137804i | ||||
\(763\) | −0.168683 | − | 0.956649i | −0.00610673 | − | 0.0346330i | ||||
\(764\) | 2.54702 | + | 4.41157i | 0.0921480 | + | 0.159605i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −4.22689 | + | 7.32119i | −0.152724 | + | 0.264525i | ||||
\(767\) | −1.28501 | − | 0.467705i | −0.0463990 | − | 0.0168879i | ||||
\(768\) | 7.14515 | − | 16.2022i | 0.257828 | − | 0.584647i | ||||
\(769\) | −33.0529 | − | 27.7347i | −1.19192 | − | 1.00014i | −0.999824 | − | 0.0187613i | \(-0.994028\pi\) |
−0.192094 | − | 0.981377i | \(-0.561528\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 5.85791 | − | 13.2833i | 0.210967 | − | 0.478386i | ||||
\(772\) | 24.8872 | + | 9.05819i | 0.895709 | + | 0.326011i | ||||
\(773\) | −19.4784 | + | 33.7376i | −0.700590 | + | 1.21346i | 0.267669 | + | 0.963511i | \(0.413746\pi\) |
−0.968260 | + | 0.249947i | \(0.919587\pi\) | |||||||
\(774\) | 3.54427 | − | 4.60319i | 0.127396 | − | 0.165458i | ||||
\(775\) | 0 | 0 |