Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [845,2,Mod(408,845)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(845, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([3, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("845.408");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 845 = 5 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 845.f (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.74735897080\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(10\) over \(\Q(i)\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} + 26 x^{18} + 279 x^{16} + 1604 x^{14} + 5353 x^{12} + 10466 x^{10} + 11441 x^{8} + 6176 x^{6} + \cdots + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{4} \) |
Twist minimal: | no (minimal twist has level 65) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 437.6 | ||
Root | \(0.493902i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 845.437 |
Dual form | 845.2.f.e.408.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/845\mathbb{Z}\right)^\times\).
\(n\) | \(171\) | \(677\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.493902i | 0.349241i | 0.984636 | + | 0.174621i | \(0.0558699\pi\) | ||||
−0.984636 | + | 0.174621i | \(0.944130\pi\) | |||||||
\(3\) | −0.664960 | + | 0.664960i | −0.383915 | + | 0.383915i | −0.872510 | − | 0.488595i | \(-0.837509\pi\) |
0.488595 | + | 0.872510i | \(0.337509\pi\) | |||||||
\(4\) | 1.75606 | 0.878030 | ||||||||
\(5\) | −0.284413 | − | 2.21791i | −0.127193 | − | 0.991878i | ||||
\(6\) | −0.328425 | − | 0.328425i | −0.134079 | − | 0.134079i | ||||
\(7\) | −3.67549 | −1.38921 | −0.694603 | − | 0.719394i | \(-0.744420\pi\) | ||||
−0.694603 | + | 0.719394i | \(0.744420\pi\) | |||||||
\(8\) | 1.85513i | 0.655886i | ||||||||
\(9\) | 2.11566i | 0.705219i | ||||||||
\(10\) | 1.09543 | − | 0.140472i | 0.346405 | − | 0.0444211i | ||||
\(11\) | −0.486270 | + | 0.486270i | −0.146616 | + | 0.146616i | −0.776604 | − | 0.629989i | \(-0.783060\pi\) |
0.629989 | + | 0.776604i | \(0.283060\pi\) | |||||||
\(12\) | −1.16771 | + | 1.16771i | −0.337089 | + | 0.337089i | ||||
\(13\) | 0 | 0 | ||||||||
\(14\) | − | 1.81533i | − | 0.485168i | ||||||
\(15\) | 1.66394 | + | 1.28570i | 0.429628 | + | 0.331965i | ||||
\(16\) | 2.59587 | 0.648968 | ||||||||
\(17\) | −1.67902 | + | 1.67902i | −0.407223 | + | 0.407223i | −0.880769 | − | 0.473546i | \(-0.842974\pi\) |
0.473546 | + | 0.880769i | \(0.342974\pi\) | |||||||
\(18\) | −1.04493 | −0.246291 | ||||||||
\(19\) | −3.87304 | + | 3.87304i | −0.888537 | + | 0.888537i | −0.994383 | − | 0.105846i | \(-0.966245\pi\) |
0.105846 | + | 0.994383i | \(0.466245\pi\) | |||||||
\(20\) | −0.499446 | − | 3.89478i | −0.111679 | − | 0.870899i | ||||
\(21\) | 2.44406 | − | 2.44406i | 0.533337 | − | 0.533337i | ||||
\(22\) | −0.240170 | − | 0.240170i | −0.0512043 | − | 0.0512043i | ||||
\(23\) | −0.957603 | − | 0.957603i | −0.199674 | − | 0.199674i | 0.600186 | − | 0.799860i | \(-0.295093\pi\) |
−0.799860 | + | 0.600186i | \(0.795093\pi\) | |||||||
\(24\) | −1.23358 | − | 1.23358i | −0.251804 | − | 0.251804i | ||||
\(25\) | −4.83822 | + | 1.26160i | −0.967644 | + | 0.252320i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −3.40171 | − | 3.40171i | −0.654659 | − | 0.654659i | ||||
\(28\) | −6.45439 | −1.21976 | ||||||||
\(29\) | 9.51628i | 1.76713i | 0.468310 | + | 0.883564i | \(0.344863\pi\) | ||||
−0.468310 | + | 0.883564i | \(0.655137\pi\) | |||||||
\(30\) | −0.635008 | + | 0.821824i | −0.115936 | + | 0.150044i | ||||
\(31\) | 4.81595 | + | 4.81595i | 0.864970 | + | 0.864970i | 0.991910 | − | 0.126940i | \(-0.0405157\pi\) |
−0.126940 | + | 0.991910i | \(0.540516\pi\) | |||||||
\(32\) | 4.99236i | 0.882532i | ||||||||
\(33\) | − | 0.646700i | − | 0.112576i | ||||||
\(34\) | −0.829273 | − | 0.829273i | −0.142219 | − | 0.142219i | ||||
\(35\) | 1.04536 | + | 8.15190i | 0.176697 | + | 1.37792i | ||||
\(36\) | 3.71522i | 0.619203i | ||||||||
\(37\) | 1.83523 | 0.301710 | 0.150855 | − | 0.988556i | \(-0.451797\pi\) | ||||
0.150855 | + | 0.988556i | \(0.451797\pi\) | |||||||
\(38\) | −1.91290 | − | 1.91290i | −0.310314 | − | 0.310314i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 4.11449 | − | 0.527621i | 0.650559 | − | 0.0834242i | ||||
\(41\) | 0.391638 | + | 0.391638i | 0.0611636 | + | 0.0611636i | 0.737027 | − | 0.675863i | \(-0.236229\pi\) |
−0.675863 | + | 0.737027i | \(0.736229\pi\) | |||||||
\(42\) | 1.20712 | + | 1.20712i | 0.186263 | + | 0.186263i | ||||
\(43\) | −1.53207 | − | 1.53207i | −0.233639 | − | 0.233639i | 0.580571 | − | 0.814210i | \(-0.302829\pi\) |
−0.814210 | + | 0.580571i | \(0.802829\pi\) | |||||||
\(44\) | −0.853919 | + | 0.853919i | −0.128733 | + | 0.128733i | ||||
\(45\) | 4.69233 | − | 0.601719i | 0.699491 | − | 0.0896990i | ||||
\(46\) | 0.472962 | − | 0.472962i | 0.0697344 | − | 0.0697344i | ||||
\(47\) | −3.80918 | −0.555626 | −0.277813 | − | 0.960635i | \(-0.589610\pi\) | ||||
−0.277813 | + | 0.960635i | \(0.589610\pi\) | |||||||
\(48\) | −1.72615 | + | 1.72615i | −0.249149 | + | 0.249149i | ||||
\(49\) | 6.50924 | 0.929892 | ||||||||
\(50\) | −0.623107 | − | 2.38961i | −0.0881207 | − | 0.337941i | ||||
\(51\) | − | 2.23297i | − | 0.312678i | ||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −2.47293 | + | 2.47293i | −0.339683 | + | 0.339683i | −0.856248 | − | 0.516565i | \(-0.827211\pi\) |
0.516565 | + | 0.856248i | \(0.327211\pi\) | |||||||
\(54\) | 1.68011 | − | 1.68011i | 0.228634 | − | 0.228634i | ||||
\(55\) | 1.21680 | + | 0.940200i | 0.164074 | + | 0.126776i | ||||
\(56\) | − | 6.81850i | − | 0.911160i | ||||||
\(57\) | − | 5.15084i | − | 0.682245i | ||||||
\(58\) | −4.70011 | −0.617154 | ||||||||
\(59\) | −7.35770 | − | 7.35770i | −0.957891 | − | 0.957891i | 0.0412579 | − | 0.999149i | \(-0.486863\pi\) |
−0.999149 | + | 0.0412579i | \(0.986863\pi\) | |||||||
\(60\) | 2.92199 | + | 2.25776i | 0.377227 | + | 0.291476i | ||||
\(61\) | 6.19808 | 0.793583 | 0.396792 | − | 0.917909i | \(-0.370124\pi\) | ||||
0.396792 | + | 0.917909i | \(0.370124\pi\) | |||||||
\(62\) | −2.37861 | + | 2.37861i | −0.302083 | + | 0.302083i | ||||
\(63\) | − | 7.77608i | − | 0.979693i | ||||||
\(64\) | 2.72601 | 0.340751 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0.319406 | 0.0393162 | ||||||||
\(67\) | 12.2474i | 1.49626i | 0.663552 | + | 0.748130i | \(0.269048\pi\) | ||||
−0.663552 | + | 0.748130i | \(0.730952\pi\) | |||||||
\(68\) | −2.94847 | + | 2.94847i | −0.357554 | + | 0.357554i | ||||
\(69\) | 1.27354 | 0.153316 | ||||||||
\(70\) | −4.02624 | + | 0.516303i | −0.481227 | + | 0.0617101i | ||||
\(71\) | −4.74012 | − | 4.74012i | −0.562549 | − | 0.562549i | 0.367482 | − | 0.930031i | \(-0.380220\pi\) |
−0.930031 | + | 0.367482i | \(0.880220\pi\) | |||||||
\(72\) | −3.92481 | −0.462543 | ||||||||
\(73\) | − | 3.37642i | − | 0.395180i | −0.980285 | − | 0.197590i | \(-0.936688\pi\) | ||
0.980285 | − | 0.197590i | \(-0.0633115\pi\) | |||||||
\(74\) | 0.906424i | 0.105370i | ||||||||
\(75\) | 2.37831 | − | 4.05614i | 0.274623 | − | 0.468362i | ||||
\(76\) | −6.80130 | + | 6.80130i | −0.780162 | + | 0.780162i | ||||
\(77\) | 1.78728 | − | 1.78728i | 0.203680 | − | 0.203680i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 3.12149i | 0.351195i | 0.984462 | + | 0.175598i | \(0.0561857\pi\) | ||||
−0.984462 | + | 0.175598i | \(0.943814\pi\) | |||||||
\(80\) | −0.738299 | − | 5.75740i | −0.0825443 | − | 0.643697i | ||||
\(81\) | −1.82297 | −0.202552 | ||||||||
\(82\) | −0.193431 | + | 0.193431i | −0.0213609 | + | 0.0213609i | ||||
\(83\) | 2.13918 | 0.234805 | 0.117403 | − | 0.993084i | \(-0.462543\pi\) | ||||
0.117403 | + | 0.993084i | \(0.462543\pi\) | |||||||
\(84\) | 4.29191 | − | 4.29191i | 0.468286 | − | 0.468286i | ||||
\(85\) | 4.20145 | + | 3.24638i | 0.455711 | + | 0.352119i | ||||
\(86\) | 0.756694 | − | 0.756694i | 0.0815964 | − | 0.0815964i | ||||
\(87\) | −6.32795 | − | 6.32795i | −0.678427 | − | 0.678427i | ||||
\(88\) | −0.902091 | − | 0.902091i | −0.0961633 | − | 0.0961633i | ||||
\(89\) | −2.38835 | − | 2.38835i | −0.253165 | − | 0.253165i | 0.569102 | − | 0.822267i | \(-0.307291\pi\) |
−0.822267 | + | 0.569102i | \(0.807291\pi\) | |||||||
\(90\) | 0.297190 | + | 2.31755i | 0.0313266 | + | 0.244291i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −1.68161 | − | 1.68161i | −0.175320 | − | 0.175320i | ||||
\(93\) | −6.40483 | −0.664150 | ||||||||
\(94\) | − | 1.88136i | − | 0.194048i | ||||||
\(95\) | 9.69159 | + | 7.48850i | 0.994336 | + | 0.768304i | ||||
\(96\) | −3.31972 | − | 3.31972i | −0.338817 | − | 0.338817i | ||||
\(97\) | 7.07377i | 0.718232i | 0.933293 | + | 0.359116i | \(0.116922\pi\) | ||||
−0.933293 | + | 0.359116i | \(0.883078\pi\) | |||||||
\(98\) | 3.21493i | 0.324757i | ||||||||
\(99\) | −1.02878 | − | 1.02878i | −0.103396 | − | 0.103396i | ||||
\(100\) | −8.49621 | + | 2.21545i | −0.849621 | + | 0.221545i | ||||
\(101\) | − | 14.9697i | − | 1.48954i | −0.667323 | − | 0.744769i | \(-0.732560\pi\) | ||
0.667323 | − | 0.744769i | \(-0.267440\pi\) | |||||||
\(102\) | 1.10287 | 0.109200 | ||||||||
\(103\) | −3.17851 | − | 3.17851i | −0.313188 | − | 0.313188i | 0.532956 | − | 0.846143i | \(-0.321081\pi\) |
−0.846143 | + | 0.532956i | \(0.821081\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −6.11581 | − | 4.72557i | −0.596842 | − | 0.461168i | ||||
\(106\) | −1.22139 | − | 1.22139i | −0.118632 | − | 0.118632i | ||||
\(107\) | −10.7852 | − | 10.7852i | −1.04265 | − | 1.04265i | −0.999049 | − | 0.0435984i | \(-0.986118\pi\) |
−0.0435984 | − | 0.999049i | \(-0.513882\pi\) | |||||||
\(108\) | −5.97361 | − | 5.97361i | −0.574811 | − | 0.574811i | ||||
\(109\) | 2.25902 | − | 2.25902i | 0.216375 | − | 0.216375i | −0.590594 | − | 0.806969i | \(-0.701107\pi\) |
0.806969 | + | 0.590594i | \(0.201107\pi\) | |||||||
\(110\) | −0.464366 | + | 0.600981i | −0.0442756 | + | 0.0573013i | ||||
\(111\) | −1.22036 | + | 1.22036i | −0.115831 | + | 0.115831i | ||||
\(112\) | −9.54111 | −0.901550 | ||||||||
\(113\) | 11.7173 | − | 11.7173i | 1.10227 | − | 1.10227i | 0.108132 | − | 0.994137i | \(-0.465513\pi\) |
0.994137 | − | 0.108132i | \(-0.0344870\pi\) | |||||||
\(114\) | 2.54401 | 0.238268 | ||||||||
\(115\) | −1.85152 | + | 2.39623i | −0.172655 | + | 0.223450i | ||||
\(116\) | 16.7112i | 1.55159i | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 3.63398 | − | 3.63398i | 0.334535 | − | 0.334535i | ||||
\(119\) | 6.17124 | − | 6.17124i | 0.565716 | − | 0.565716i | ||||
\(120\) | −2.38513 | + | 3.08682i | −0.217731 | + | 0.281787i | ||||
\(121\) | 10.5271i | 0.957008i | ||||||||
\(122\) | 3.06124i | 0.277152i | ||||||||
\(123\) | −0.520848 | −0.0469633 | ||||||||
\(124\) | 8.45710 | + | 8.45710i | 0.759470 | + | 0.759470i | ||||
\(125\) | 4.17416 | + | 10.3719i | 0.373349 | + | 0.927691i | ||||
\(126\) | 3.84062 | 0.342149 | ||||||||
\(127\) | −5.86876 | + | 5.86876i | −0.520768 | + | 0.520768i | −0.917803 | − | 0.397035i | \(-0.870039\pi\) |
0.397035 | + | 0.917803i | \(0.370039\pi\) | |||||||
\(128\) | 11.3311i | 1.00154i | ||||||||
\(129\) | 2.03754 | 0.179395 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 1.37409 | 0.120054 | 0.0600272 | − | 0.998197i | \(-0.480881\pi\) | ||||
0.0600272 | + | 0.998197i | \(0.480881\pi\) | |||||||
\(132\) | − | 1.13564i | − | 0.0988452i | ||||||
\(133\) | 14.2353 | − | 14.2353i | 1.23436 | − | 1.23436i | ||||
\(134\) | −6.04902 | −0.522556 | ||||||||
\(135\) | −6.57718 | + | 8.51216i | −0.566074 | + | 0.732610i | ||||
\(136\) | −3.11480 | − | 3.11480i | −0.267092 | − | 0.267092i | ||||
\(137\) | 12.3276 | 1.05322 | 0.526609 | − | 0.850108i | \(-0.323463\pi\) | ||||
0.526609 | + | 0.850108i | \(0.323463\pi\) | |||||||
\(138\) | 0.629002i | 0.0535442i | ||||||||
\(139\) | 6.40157i | 0.542974i | 0.962442 | + | 0.271487i | \(0.0875153\pi\) | ||||
−0.962442 | + | 0.271487i | \(0.912485\pi\) | |||||||
\(140\) | 1.83571 | + | 14.3152i | 0.155146 | + | 1.20986i | ||||
\(141\) | 2.53295 | − | 2.53295i | 0.213313 | − | 0.213313i | ||||
\(142\) | 2.34115 | − | 2.34115i | 0.196465 | − | 0.196465i | ||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 5.49197i | 0.457664i | ||||||||
\(145\) | 21.1062 | − | 2.70655i | 1.75278 | − | 0.224767i | ||||
\(146\) | 1.66762 | 0.138013 | ||||||||
\(147\) | −4.32839 | + | 4.32839i | −0.356999 | + | 0.356999i | ||||
\(148\) | 3.22278 | 0.264911 | ||||||||
\(149\) | 11.8812 | − | 11.8812i | 0.973345 | − | 0.973345i | −0.0263084 | − | 0.999654i | \(-0.508375\pi\) |
0.999654 | + | 0.0263084i | \(0.00837520\pi\) | |||||||
\(150\) | 2.00333 | + | 1.17465i | 0.163572 | + | 0.0959099i | ||||
\(151\) | −3.31542 | + | 3.31542i | −0.269805 | + | 0.269805i | −0.829022 | − | 0.559217i | \(-0.811102\pi\) |
0.559217 | + | 0.829022i | \(0.311102\pi\) | |||||||
\(152\) | −7.18498 | − | 7.18498i | −0.582779 | − | 0.582779i | ||||
\(153\) | −3.55223 | − | 3.55223i | −0.287181 | − | 0.287181i | ||||
\(154\) | 0.882741 | + | 0.882741i | 0.0711333 | + | 0.0711333i | ||||
\(155\) | 9.31161 | − | 12.0510i | 0.747926 | − | 0.967963i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 9.87941 | + | 9.87941i | 0.788463 | + | 0.788463i | 0.981242 | − | 0.192779i | \(-0.0617501\pi\) |
−0.192779 | + | 0.981242i | \(0.561750\pi\) | |||||||
\(158\) | −1.54171 | −0.122652 | ||||||||
\(159\) | − | 3.28880i | − | 0.260819i | ||||||
\(160\) | 11.0726 | − | 1.41989i | 0.875364 | − | 0.112252i | ||||
\(161\) | 3.51966 | + | 3.51966i | 0.277388 | + | 0.277388i | ||||
\(162\) | − | 0.900366i | − | 0.0707395i | ||||||
\(163\) | − | 0.131970i | − | 0.0103367i | −0.999987 | − | 0.00516833i | \(-0.998355\pi\) | ||
0.999987 | − | 0.00516833i | \(-0.00164514\pi\) | |||||||
\(164\) | 0.687741 | + | 0.687741i | 0.0537035 | + | 0.0537035i | ||||
\(165\) | −1.43432 | + | 0.183930i | −0.111662 | + | 0.0143189i | ||||
\(166\) | 1.05654i | 0.0820038i | ||||||||
\(167\) | 21.6368 | 1.67430 | 0.837152 | − | 0.546971i | \(-0.184219\pi\) | ||||
0.837152 | + | 0.546971i | \(0.184219\pi\) | |||||||
\(168\) | 4.53403 | + | 4.53403i | 0.349808 | + | 0.349808i | ||||
\(169\) | 0 | 0 | ||||||||
\(170\) | −1.60339 | + | 2.07510i | −0.122975 | + | 0.159153i | ||||
\(171\) | −8.19402 | − | 8.19402i | −0.626613 | − | 0.626613i | ||||
\(172\) | −2.69042 | − | 2.69042i | −0.205142 | − | 0.205142i | ||||
\(173\) | −5.46851 | − | 5.46851i | −0.415763 | − | 0.415763i | 0.467977 | − | 0.883741i | \(-0.344983\pi\) |
−0.883741 | + | 0.467977i | \(0.844983\pi\) | |||||||
\(174\) | 3.12539 | − | 3.12539i | 0.236935 | − | 0.236935i | ||||
\(175\) | 17.7828 | − | 4.63701i | 1.34426 | − | 0.350525i | ||||
\(176\) | −1.26229 | + | 1.26229i | −0.0951490 | + | 0.0951490i | ||||
\(177\) | 9.78515 | 0.735497 | ||||||||
\(178\) | 1.17961 | − | 1.17961i | 0.0884157 | − | 0.0884157i | ||||
\(179\) | −16.3536 | −1.22233 | −0.611164 | − | 0.791504i | \(-0.709298\pi\) | ||||
−0.611164 | + | 0.791504i | \(0.709298\pi\) | |||||||
\(180\) | 8.24001 | − | 1.05666i | 0.614174 | − | 0.0787585i | ||||
\(181\) | − | 18.0387i | − | 1.34081i | −0.741997 | − | 0.670403i | \(-0.766121\pi\) | ||
0.741997 | − | 0.670403i | \(-0.233879\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −4.12148 | + | 4.12148i | −0.304668 | + | 0.304668i | ||||
\(184\) | 1.77647 | − | 1.77647i | 0.130963 | − | 0.130963i | ||||
\(185\) | −0.521963 | − | 4.07037i | −0.0383755 | − | 0.299260i | ||||
\(186\) | − | 3.16336i | − | 0.231949i | ||||||
\(187\) | − | 1.63292i | − | 0.119411i | ||||||
\(188\) | −6.68916 | −0.487857 | ||||||||
\(189\) | 12.5030 | + | 12.5030i | 0.909456 | + | 0.909456i | ||||
\(190\) | −3.69858 | + | 4.78669i | −0.268324 | + | 0.347263i | ||||
\(191\) | 5.19103 | 0.375610 | 0.187805 | − | 0.982206i | \(-0.439863\pi\) | ||||
0.187805 | + | 0.982206i | \(0.439863\pi\) | |||||||
\(192\) | −1.81269 | + | 1.81269i | −0.130820 | + | 0.130820i | ||||
\(193\) | 10.1015i | 0.727119i | 0.931571 | + | 0.363560i | \(0.118439\pi\) | ||||
−0.931571 | + | 0.363560i | \(0.881561\pi\) | |||||||
\(194\) | −3.49375 | −0.250836 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 11.4306 | 0.816473 | ||||||||
\(197\) | 13.0639i | 0.930767i | 0.885109 | + | 0.465384i | \(0.154084\pi\) | ||||
−0.885109 | + | 0.465384i | \(0.845916\pi\) | |||||||
\(198\) | 0.508116 | − | 0.508116i | 0.0361102 | − | 0.0361102i | ||||
\(199\) | 7.85012 | 0.556480 | 0.278240 | − | 0.960512i | \(-0.410249\pi\) | ||||
0.278240 | + | 0.960512i | \(0.410249\pi\) | |||||||
\(200\) | −2.34043 | − | 8.97550i | −0.165493 | − | 0.634664i | ||||
\(201\) | −8.14405 | − | 8.14405i | −0.574437 | − | 0.574437i | ||||
\(202\) | 7.39354 | 0.520208 | ||||||||
\(203\) | − | 34.9770i | − | 2.45491i | ||||||
\(204\) | − | 3.92123i | − | 0.274541i | ||||||
\(205\) | 0.757230 | − | 0.980004i | 0.0528872 | − | 0.0684464i | ||||
\(206\) | 1.56987 | − | 1.56987i | 0.109378 | − | 0.109378i | ||||
\(207\) | 2.02596 | − | 2.02596i | 0.140814 | − | 0.140814i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | − | 3.76669i | − | 0.260547i | ||||||
\(210\) | 2.33397 | − | 3.02061i | 0.161059 | − | 0.208442i | ||||
\(211\) | 12.4241 | 0.855310 | 0.427655 | − | 0.903942i | \(-0.359340\pi\) | ||||
0.427655 | + | 0.903942i | \(0.359340\pi\) | |||||||
\(212\) | −4.34262 | + | 4.34262i | −0.298252 | + | 0.298252i | ||||
\(213\) | 6.30398 | 0.431942 | ||||||||
\(214\) | 5.32684 | − | 5.32684i | 0.364136 | − | 0.364136i | ||||
\(215\) | −2.96226 | + | 3.83374i | −0.202024 | + | 0.261459i | ||||
\(216\) | 6.31059 | − | 6.31059i | 0.429382 | − | 0.429382i | ||||
\(217\) | −17.7010 | − | 17.7010i | −1.20162 | − | 1.20162i | ||||
\(218\) | 1.11573 | + | 1.11573i | 0.0755670 | + | 0.0755670i | ||||
\(219\) | 2.24519 | + | 2.24519i | 0.151716 | + | 0.151716i | ||||
\(220\) | 2.13678 | + | 1.65105i | 0.144062 | + | 0.111314i | ||||
\(221\) | 0 | 0 | ||||||||
\(222\) | −0.602736 | − | 0.602736i | −0.0404530 | − | 0.0404530i | ||||
\(223\) | 9.94495 | 0.665963 | 0.332981 | − | 0.942933i | \(-0.391945\pi\) | ||||
0.332981 | + | 0.942933i | \(0.391945\pi\) | |||||||
\(224\) | − | 18.3494i | − | 1.22602i | ||||||
\(225\) | −2.66911 | − | 10.2360i | −0.177941 | − | 0.682400i | ||||
\(226\) | 5.78718 | + | 5.78718i | 0.384958 | + | 0.384958i | ||||
\(227\) | 14.6058i | 0.969421i | 0.874675 | + | 0.484710i | \(0.161075\pi\) | ||||
−0.874675 | + | 0.484710i | \(0.838925\pi\) | |||||||
\(228\) | − | 9.04518i | − | 0.599032i | ||||||
\(229\) | 15.6183 | + | 15.6183i | 1.03209 | + | 1.03209i | 0.999468 | + | 0.0326207i | \(0.0103853\pi\) |
0.0326207 | + | 0.999468i | \(0.489615\pi\) | |||||||
\(230\) | −1.18350 | − | 0.914469i | −0.0780378 | − | 0.0602983i | ||||
\(231\) | 2.37694i | 0.156391i | ||||||||
\(232\) | −17.6539 | −1.15903 | ||||||||
\(233\) | 16.5625 | + | 16.5625i | 1.08505 | + | 1.08505i | 0.996030 | + | 0.0890148i | \(0.0283719\pi\) |
0.0890148 | + | 0.996030i | \(0.471628\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 1.08338 | + | 8.44841i | 0.0706719 | + | 0.551113i | ||||
\(236\) | −12.9206 | − | 12.9206i | −0.841057 | − | 0.841057i | ||||
\(237\) | −2.07567 | − | 2.07567i | −0.134829 | − | 0.134829i | ||||
\(238\) | 3.04798 | + | 3.04798i | 0.197572 | + | 0.197572i | ||||
\(239\) | −14.6022 | + | 14.6022i | −0.944535 | + | 0.944535i | −0.998541 | − | 0.0540053i | \(-0.982801\pi\) |
0.0540053 | + | 0.998541i | \(0.482801\pi\) | |||||||
\(240\) | 4.31938 | + | 3.33750i | 0.278815 | + | 0.215435i | ||||
\(241\) | −2.19128 | + | 2.19128i | −0.141153 | + | 0.141153i | −0.774152 | − | 0.632999i | \(-0.781824\pi\) |
0.632999 | + | 0.774152i | \(0.281824\pi\) | |||||||
\(242\) | −5.19935 | −0.334227 | ||||||||
\(243\) | 11.4173 | − | 11.4173i | 0.732422 | − | 0.732422i | ||||
\(244\) | 10.8842 | 0.696790 | ||||||||
\(245\) | −1.85131 | − | 14.4369i | −0.118276 | − | 0.922339i | ||||
\(246\) | − | 0.257248i | − | 0.0164015i | ||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | −8.93419 | + | 8.93419i | −0.567322 | + | 0.567322i | ||||
\(249\) | −1.42247 | + | 1.42247i | −0.0901453 | + | 0.0901453i | ||||
\(250\) | −5.12270 | + | 2.06163i | −0.323988 | + | 0.130389i | ||||
\(251\) | − | 29.5289i | − | 1.86385i | −0.362652 | − | 0.931925i | \(-0.618128\pi\) | ||
0.362652 | − | 0.931925i | \(-0.381872\pi\) | |||||||
\(252\) | − | 13.6553i | − | 0.860201i | ||||||
\(253\) | 0.931307 | 0.0585508 | ||||||||
\(254\) | −2.89859 | − | 2.89859i | −0.181874 | − | 0.181874i | ||||
\(255\) | −4.95251 | + | 0.635084i | −0.310138 | + | 0.0397705i | ||||
\(256\) | −0.144429 | −0.00902681 | ||||||||
\(257\) | −5.06650 | + | 5.06650i | −0.316040 | + | 0.316040i | −0.847244 | − | 0.531204i | \(-0.821740\pi\) |
0.531204 | + | 0.847244i | \(0.321740\pi\) | |||||||
\(258\) | 1.00634i | 0.0626522i | ||||||||
\(259\) | −6.74538 | −0.419137 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −20.1332 | −1.24621 | ||||||||
\(262\) | 0.678663i | 0.0419280i | ||||||||
\(263\) | −9.52151 | + | 9.52151i | −0.587121 | + | 0.587121i | −0.936851 | − | 0.349729i | \(-0.886274\pi\) |
0.349729 | + | 0.936851i | \(0.386274\pi\) | |||||||
\(264\) | 1.19971 | 0.0738370 | ||||||||
\(265\) | 6.18807 | + | 4.78140i | 0.380130 | + | 0.293719i | ||||
\(266\) | 7.03086 | + | 7.03086i | 0.431090 | + | 0.431090i | ||||
\(267\) | 3.17632 | 0.194388 | ||||||||
\(268\) | 21.5072i | 1.31376i | ||||||||
\(269\) | − | 8.10376i | − | 0.494095i | −0.969003 | − | 0.247047i | \(-0.920540\pi\) | ||
0.969003 | − | 0.247047i | \(-0.0794603\pi\) | |||||||
\(270\) | −4.20417 | − | 3.24848i | −0.255858 | − | 0.197696i | ||||
\(271\) | −6.50299 | + | 6.50299i | −0.395028 | + | 0.395028i | −0.876475 | − | 0.481447i | \(-0.840111\pi\) |
0.481447 | + | 0.876475i | \(0.340111\pi\) | |||||||
\(272\) | −4.35853 | + | 4.35853i | −0.264275 | + | 0.264275i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 6.08862i | 0.367827i | ||||||||
\(275\) | 1.73920 | − | 2.96616i | 0.104878 | − | 0.178866i | ||||
\(276\) | 2.23641 | 0.134616 | ||||||||
\(277\) | −18.2750 | + | 18.2750i | −1.09804 | + | 1.09804i | −0.103397 | + | 0.994640i | \(0.532971\pi\) |
−0.994640 | + | 0.103397i | \(0.967029\pi\) | |||||||
\(278\) | −3.16174 | −0.189629 | ||||||||
\(279\) | −10.1889 | + | 10.1889i | −0.609993 | + | 0.609993i | ||||
\(280\) | −15.1228 | + | 1.93927i | −0.903760 | + | 0.115893i | ||||
\(281\) | 5.41928 | − | 5.41928i | 0.323287 | − | 0.323287i | −0.526740 | − | 0.850027i | \(-0.676586\pi\) |
0.850027 | + | 0.526740i | \(0.176586\pi\) | |||||||
\(282\) | 1.25103 | + | 1.25103i | 0.0744978 | + | 0.0744978i | ||||
\(283\) | −6.21235 | − | 6.21235i | −0.369286 | − | 0.369286i | 0.497931 | − | 0.867217i | \(-0.334093\pi\) |
−0.867217 | + | 0.497931i | \(0.834093\pi\) | |||||||
\(284\) | −8.32394 | − | 8.32394i | −0.493935 | − | 0.493935i | ||||
\(285\) | −11.4241 | + | 1.46496i | −0.676704 | + | 0.0867769i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −1.43946 | − | 1.43946i | −0.0849688 | − | 0.0849688i | ||||
\(288\) | −10.5621 | −0.622378 | ||||||||
\(289\) | 11.3618i | 0.668339i | ||||||||
\(290\) | 1.33677 | + | 10.4244i | 0.0784978 | + | 0.612142i | ||||
\(291\) | −4.70377 | − | 4.70377i | −0.275740 | − | 0.275740i | ||||
\(292\) | − | 5.92921i | − | 0.346981i | ||||||
\(293\) | 13.2360i | 0.773253i | 0.922236 | + | 0.386626i | \(0.126360\pi\) | ||||
−0.922236 | + | 0.386626i | \(0.873640\pi\) | |||||||
\(294\) | −2.13780 | − | 2.13780i | −0.124679 | − | 0.124679i | ||||
\(295\) | −14.2261 | + | 18.4113i | −0.828273 | + | 1.07195i | ||||
\(296\) | 3.40458i | 0.197887i | ||||||||
\(297\) | 3.30830 | 0.191967 | ||||||||
\(298\) | 5.86814 | + | 5.86814i | 0.339932 | + | 0.339932i | ||||
\(299\) | 0 | 0 | ||||||||
\(300\) | 4.17646 | − | 7.12283i | 0.241128 | − | 0.411237i | ||||
\(301\) | 5.63113 | + | 5.63113i | 0.324573 | + | 0.324573i | ||||
\(302\) | −1.63749 | − | 1.63749i | −0.0942270 | − | 0.0942270i | ||||
\(303\) | 9.95423 | + | 9.95423i | 0.571856 | + | 0.571856i | ||||
\(304\) | −10.0539 | + | 10.0539i | −0.576632 | + | 0.576632i | ||||
\(305\) | −1.76281 | − | 13.7468i | −0.100938 | − | 0.787138i | ||||
\(306\) | 1.75446 | − | 1.75446i | 0.100296 | − | 0.100296i | ||||
\(307\) | −15.4782 | −0.883389 | −0.441695 | − | 0.897165i | \(-0.645623\pi\) | ||||
−0.441695 | + | 0.897165i | \(0.645623\pi\) | |||||||
\(308\) | 3.13857 | − | 3.13857i | 0.178837 | − | 0.178837i | ||||
\(309\) | 4.22716 | 0.240475 | ||||||||
\(310\) | 5.95203 | + | 4.59902i | 0.338053 | + | 0.261207i | ||||
\(311\) | − | 5.34922i | − | 0.303326i | −0.988432 | − | 0.151663i | \(-0.951537\pi\) | ||
0.988432 | − | 0.151663i | \(-0.0484629\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 24.3923 | − | 24.3923i | 1.37873 | − | 1.37873i | 0.531967 | − | 0.846765i | \(-0.321453\pi\) |
0.846765 | − | 0.531967i | \(-0.178547\pi\) | |||||||
\(314\) | −4.87946 | + | 4.87946i | −0.275364 | + | 0.275364i | ||||
\(315\) | −17.2466 | + | 2.21161i | −0.971736 | + | 0.124610i | ||||
\(316\) | 5.48153i | 0.308360i | ||||||||
\(317\) | − | 18.9851i | − | 1.06631i | −0.846017 | − | 0.533156i | \(-0.821006\pi\) | ||
0.846017 | − | 0.533156i | \(-0.178994\pi\) | |||||||
\(318\) | 1.62435 | 0.0910888 | ||||||||
\(319\) | −4.62748 | − | 4.62748i | −0.259089 | − | 0.259089i | ||||
\(320\) | −0.775312 | − | 6.04604i | −0.0433412 | − | 0.337984i | ||||
\(321\) | 14.3435 | 0.800576 | ||||||||
\(322\) | −1.73837 | + | 1.73837i | −0.0968755 | + | 0.0968755i | ||||
\(323\) | − | 13.0059i | − | 0.723665i | ||||||
\(324\) | −3.20124 | −0.177847 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 0.0651800 | 0.00360999 | ||||||||
\(327\) | 3.00431i | 0.166139i | ||||||||
\(328\) | −0.726538 | + | 0.726538i | −0.0401163 | + | 0.0401163i | ||||
\(329\) | 14.0006 | 0.771879 | ||||||||
\(330\) | −0.0908432 | − | 0.708414i | −0.00500075 | − | 0.0389969i | ||||
\(331\) | −4.96159 | − | 4.96159i | −0.272714 | − | 0.272714i | 0.557478 | − | 0.830192i | \(-0.311769\pi\) |
−0.830192 | + | 0.557478i | \(0.811769\pi\) | |||||||
\(332\) | 3.75653 | 0.206166 | ||||||||
\(333\) | 3.88272i | 0.212772i | ||||||||
\(334\) | 10.6864i | 0.584736i | ||||||||
\(335\) | 27.1636 | − | 3.48332i | 1.48411 | − | 0.190314i | ||||
\(336\) | 6.34446 | − | 6.34446i | 0.346119 | − | 0.346119i | ||||
\(337\) | −1.10195 | + | 1.10195i | −0.0600271 | + | 0.0600271i | −0.736483 | − | 0.676456i | \(-0.763515\pi\) |
0.676456 | + | 0.736483i | \(0.263515\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 15.5830i | 0.846355i | ||||||||
\(340\) | 7.37801 | + | 5.70084i | 0.400129 | + | 0.309172i | ||||
\(341\) | −4.68370 | −0.253637 | ||||||||
\(342\) | 4.04704 | − | 4.04704i | 0.218839 | − | 0.218839i | ||||
\(343\) | 1.80378 | 0.0973947 | ||||||||
\(344\) | 2.84219 | − | 2.84219i | 0.153241 | − | 0.153241i | ||||
\(345\) | −0.362210 | − | 2.82458i | −0.0195007 | − | 0.152071i | ||||
\(346\) | 2.70091 | − | 2.70091i | 0.145202 | − | 0.145202i | ||||
\(347\) | 18.2654 | + | 18.2654i | 0.980539 | + | 0.980539i | 0.999814 | − | 0.0192754i | \(-0.00613592\pi\) |
−0.0192754 | + | 0.999814i | \(0.506136\pi\) | |||||||
\(348\) | −11.1123 | − | 11.1123i | −0.595680 | − | 0.595680i | ||||
\(349\) | 6.64671 | + | 6.64671i | 0.355790 | + | 0.355790i | 0.862259 | − | 0.506468i | \(-0.169049\pi\) |
−0.506468 | + | 0.862259i | \(0.669049\pi\) | |||||||
\(350\) | 2.29023 | + | 8.78298i | 0.122418 | + | 0.469470i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −2.42763 | − | 2.42763i | −0.129393 | − | 0.129393i | ||||
\(353\) | −3.26547 | −0.173803 | −0.0869017 | − | 0.996217i | \(-0.527697\pi\) | ||||
−0.0869017 | + | 0.996217i | \(0.527697\pi\) | |||||||
\(354\) | 4.83291i | 0.256866i | ||||||||
\(355\) | −9.16499 | + | 11.8613i | −0.486427 | + | 0.629532i | ||||
\(356\) | −4.19410 | − | 4.19410i | −0.222287 | − | 0.222287i | ||||
\(357\) | 8.20725i | 0.434374i | ||||||||
\(358\) | − | 8.07709i | − | 0.426887i | ||||||
\(359\) | 3.12090 | + | 3.12090i | 0.164715 | + | 0.164715i | 0.784652 | − | 0.619937i | \(-0.212842\pi\) |
−0.619937 | + | 0.784652i | \(0.712842\pi\) | |||||||
\(360\) | 1.11626 | + | 8.70485i | 0.0588323 | + | 0.458786i | ||||
\(361\) | − | 11.0009i | − | 0.578995i | ||||||
\(362\) | 8.90935 | 0.468265 | ||||||||
\(363\) | −7.00009 | − | 7.00009i | −0.367410 | − | 0.367410i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −7.48859 | + | 0.960297i | −0.391971 | + | 0.0502643i | ||||
\(366\) | −2.03561 | − | 2.03561i | −0.106403 | − | 0.106403i | ||||
\(367\) | 17.7411 | + | 17.7411i | 0.926080 | + | 0.926080i | 0.997450 | − | 0.0713698i | \(-0.0227371\pi\) |
−0.0713698 | + | 0.997450i | \(0.522737\pi\) | |||||||
\(368\) | −2.48582 | − | 2.48582i | −0.129582 | − | 0.129582i | ||||
\(369\) | −0.828572 | + | 0.828572i | −0.0431337 | + | 0.0431337i | ||||
\(370\) | 2.01036 | − | 0.257798i | 0.104514 | − | 0.0134023i | ||||
\(371\) | 9.08925 | − | 9.08925i | 0.471890 | − | 0.471890i | ||||
\(372\) | −11.2473 | −0.583144 | ||||||||
\(373\) | −8.07976 | + | 8.07976i | −0.418354 | + | 0.418354i | −0.884636 | − | 0.466282i | \(-0.845593\pi\) |
0.466282 | + | 0.884636i | \(0.345593\pi\) | |||||||
\(374\) | 0.806500 | 0.0417031 | ||||||||
\(375\) | −9.67256 | − | 4.12125i | −0.499489 | − | 0.212820i | ||||
\(376\) | − | 7.06651i | − | 0.364427i | ||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | −6.17523 | + | 6.17523i | −0.317620 | + | 0.317620i | ||||
\(379\) | 1.42096 | − | 1.42096i | 0.0729900 | − | 0.0729900i | −0.669669 | − | 0.742659i | \(-0.733564\pi\) |
0.742659 | + | 0.669669i | \(0.233564\pi\) | |||||||
\(380\) | 17.0190 | + | 13.1503i | 0.873057 | + | 0.674594i | ||||
\(381\) | − | 7.80499i | − | 0.399862i | ||||||
\(382\) | 2.56386i | 0.131179i | ||||||||
\(383\) | −26.4516 | −1.35161 | −0.675806 | − | 0.737080i | \(-0.736204\pi\) | ||||
−0.675806 | + | 0.737080i | \(0.736204\pi\) | |||||||
\(384\) | −7.53473 | − | 7.53473i | −0.384505 | − | 0.384505i | ||||
\(385\) | −4.47235 | − | 3.45570i | −0.227932 | − | 0.176119i | ||||
\(386\) | −4.98913 | −0.253940 | ||||||||
\(387\) | 3.24134 | − | 3.24134i | 0.164767 | − | 0.164767i | ||||
\(388\) | 12.4220i | 0.630630i | ||||||||
\(389\) | −0.650094 | −0.0329611 | −0.0164805 | − | 0.999864i | \(-0.505246\pi\) | ||||
−0.0164805 | + | 0.999864i | \(0.505246\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 3.21568 | 0.162624 | ||||||||
\(392\) | 12.0755i | 0.609903i | ||||||||
\(393\) | −0.913712 | + | 0.913712i | −0.0460907 | + | 0.0460907i | ||||
\(394\) | −6.45230 | −0.325062 | ||||||||
\(395\) | 6.92317 | − | 0.887791i | 0.348343 | − | 0.0446696i | ||||
\(396\) | −1.80660 | − | 1.80660i | −0.0907850 | − | 0.0907850i | ||||
\(397\) | −27.0082 | −1.35550 | −0.677750 | − | 0.735292i | \(-0.737045\pi\) | ||||
−0.677750 | + | 0.735292i | \(0.737045\pi\) | |||||||
\(398\) | 3.87719i | 0.194346i | ||||||||
\(399\) | 18.9319i | 0.947779i | ||||||||
\(400\) | −12.5594 | + | 3.27496i | −0.627970 | + | 0.163748i | ||||
\(401\) | −3.50630 | + | 3.50630i | −0.175096 | + | 0.175096i | −0.789214 | − | 0.614118i | \(-0.789512\pi\) |
0.614118 | + | 0.789214i | \(0.289512\pi\) | |||||||
\(402\) | 4.02236 | − | 4.02236i | 0.200617 | − | 0.200617i | ||||
\(403\) | 0 | 0 | ||||||||
\(404\) | − | 26.2876i | − | 1.30786i | ||||||
\(405\) | 0.518474 | + | 4.04317i | 0.0257632 | + | 0.200907i | ||||
\(406\) | 17.2752 | 0.857354 | ||||||||
\(407\) | −0.892417 | + | 0.892417i | −0.0442355 | + | 0.0442355i | ||||
\(408\) | 4.14243 | 0.205081 | ||||||||
\(409\) | −4.27492 | + | 4.27492i | −0.211381 | + | 0.211381i | −0.804854 | − | 0.593473i | \(-0.797756\pi\) |
0.593473 | + | 0.804854i | \(0.297756\pi\) | |||||||
\(410\) | 0.484026 | + | 0.373997i | 0.0239043 | + | 0.0184704i | ||||
\(411\) | −8.19736 | + | 8.19736i | −0.404346 | + | 0.404346i | ||||
\(412\) | −5.58165 | − | 5.58165i | −0.274988 | − | 0.274988i | ||||
\(413\) | 27.0432 | + | 27.0432i | 1.33071 | + | 1.33071i | ||||
\(414\) | 1.00062 | + | 1.00062i | 0.0491780 | + | 0.0491780i | ||||
\(415\) | −0.608410 | − | 4.74450i | −0.0298657 | − | 0.232898i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −4.25679 | − | 4.25679i | −0.208456 | − | 0.208456i | ||||
\(418\) | 1.86037 | 0.0909938 | ||||||||
\(419\) | − | 5.37068i | − | 0.262375i | −0.991358 | − | 0.131187i | \(-0.958121\pi\) | ||
0.991358 | − | 0.131187i | \(-0.0418790\pi\) | |||||||
\(420\) | −10.7397 | − | 8.29839i | −0.524045 | − | 0.404920i | ||||
\(421\) | 14.1377 | + | 14.1377i | 0.689029 | + | 0.689029i | 0.962017 | − | 0.272988i | \(-0.0880119\pi\) |
−0.272988 | + | 0.962017i | \(0.588012\pi\) | |||||||
\(422\) | 6.13629i | 0.298710i | ||||||||
\(423\) | − | 8.05892i | − | 0.391838i | ||||||
\(424\) | −4.58760 | − | 4.58760i | −0.222794 | − | 0.222794i | ||||
\(425\) | 6.00522 | − | 10.2417i | 0.291296 | − | 0.496797i | ||||
\(426\) | 3.11355i | 0.150852i | ||||||||
\(427\) | −22.7810 | −1.10245 | ||||||||
\(428\) | −18.9395 | − | 18.9395i | −0.915476 | − | 0.915476i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −1.89349 | − | 1.46306i | −0.0913122 | − | 0.0705552i | ||||
\(431\) | −11.8020 | − | 11.8020i | −0.568485 | − | 0.568485i | 0.363219 | − | 0.931704i | \(-0.381678\pi\) |
−0.931704 | + | 0.363219i | \(0.881678\pi\) | |||||||
\(432\) | −8.83040 | − | 8.83040i | −0.424853 | − | 0.424853i | ||||
\(433\) | −5.36952 | − | 5.36952i | −0.258043 | − | 0.258043i | 0.566215 | − | 0.824258i | \(-0.308407\pi\) |
−0.824258 | + | 0.566215i | \(0.808407\pi\) | |||||||
\(434\) | 8.74255 | − | 8.74255i | 0.419656 | − | 0.419656i | ||||
\(435\) | −12.2350 | + | 15.8345i | −0.586626 | + | 0.759208i | ||||
\(436\) | 3.96697 | − | 3.96697i | 0.189984 | − | 0.189984i | ||||
\(437\) | 7.41767 | 0.354835 | ||||||||
\(438\) | −1.10890 | + | 1.10890i | −0.0529854 | + | 0.0529854i | ||||
\(439\) | −13.6907 | −0.653422 | −0.326711 | − | 0.945124i | \(-0.605940\pi\) | ||||
−0.326711 | + | 0.945124i | \(0.605940\pi\) | |||||||
\(440\) | −1.74419 | + | 2.25732i | −0.0831509 | + | 0.107614i | ||||
\(441\) | 13.7713i | 0.655777i | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 6.46290 | − | 6.46290i | 0.307062 | − | 0.307062i | −0.536707 | − | 0.843769i | \(-0.680332\pi\) |
0.843769 | + | 0.536707i | \(0.180332\pi\) | |||||||
\(444\) | −2.14302 | + | 2.14302i | −0.101703 | + | 0.101703i | ||||
\(445\) | −4.61787 | + | 5.97642i | −0.218908 | + | 0.283310i | ||||
\(446\) | 4.91183i | 0.232582i | ||||||||
\(447\) | 15.8010i | 0.747364i | ||||||||
\(448\) | −10.0194 | −0.473373 | ||||||||
\(449\) | −18.1807 | − | 18.1807i | −0.857998 | − | 0.857998i | 0.133104 | − | 0.991102i | \(-0.457506\pi\) |
−0.991102 | + | 0.133104i | \(0.957506\pi\) | |||||||
\(450\) | 5.05558 | − | 1.31828i | 0.238322 | − | 0.0621443i | ||||
\(451\) | −0.380884 | −0.0179351 | ||||||||
\(452\) | 20.5763 | − | 20.5763i | 0.967825 | − | 0.967825i | ||||
\(453\) | − | 4.40924i | − | 0.207164i | ||||||
\(454\) | −7.21383 | −0.338562 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 9.55545 | 0.447475 | ||||||||
\(457\) | 0.827533i | 0.0387104i | 0.999813 | + | 0.0193552i | \(0.00616133\pi\) | ||||
−0.999813 | + | 0.0193552i | \(0.993839\pi\) | |||||||
\(458\) | −7.71392 | + | 7.71392i | −0.360448 | + | 0.360448i | ||||
\(459\) | 11.4231 | 0.533184 | ||||||||
\(460\) | −3.25138 | + | 4.20792i | −0.151596 | + | 0.196195i | ||||
\(461\) | 17.0267 | + | 17.0267i | 0.793011 | + | 0.793011i | 0.981983 | − | 0.188972i | \(-0.0605154\pi\) |
−0.188972 | + | 0.981983i | \(0.560515\pi\) | |||||||
\(462\) | −1.17398 | −0.0546183 | ||||||||
\(463\) | − | 6.35566i | − | 0.295373i | −0.989034 | − | 0.147686i | \(-0.952817\pi\) | ||
0.989034 | − | 0.147686i | \(-0.0471826\pi\) | |||||||
\(464\) | 24.7030i | 1.14681i | ||||||||
\(465\) | 1.82161 | + | 14.2053i | 0.0844753 | + | 0.658756i | ||||
\(466\) | −8.18025 | + | 8.18025i | −0.378943 | + | 0.378943i | ||||
\(467\) | −15.6194 | + | 15.6194i | −0.722781 | + | 0.722781i | −0.969171 | − | 0.246390i | \(-0.920756\pi\) |
0.246390 | + | 0.969171i | \(0.420756\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | − | 45.0153i | − | 2.07861i | ||||||
\(470\) | −4.17269 | + | 0.535083i | −0.192472 | + | 0.0246815i | ||||
\(471\) | −13.1388 | −0.605406 | ||||||||
\(472\) | 13.6495 | − | 13.6495i | 0.628267 | − | 0.628267i | ||||
\(473\) | 1.49000 | 0.0685104 | ||||||||
\(474\) | 1.02518 | − | 1.02518i | 0.0470879 | − | 0.0470879i | ||||
\(475\) | 13.8524 | − | 23.6249i | 0.635591 | − | 1.08398i | ||||
\(476\) | 10.8371 | − | 10.8371i | 0.496716 | − | 0.496716i | ||||
\(477\) | −5.23187 | − | 5.23187i | −0.239551 | − | 0.239551i | ||||
\(478\) | −7.21204 | − | 7.21204i | −0.329871 | − | 0.329871i | ||||
\(479\) | −6.69175 | − | 6.69175i | −0.305754 | − | 0.305754i | 0.537506 | − | 0.843260i | \(-0.319367\pi\) |
−0.843260 | + | 0.537506i | \(0.819367\pi\) | |||||||
\(480\) | −6.41866 | + | 8.30700i | −0.292970 | + | 0.379161i | ||||
\(481\) | 0 | 0 | ||||||||
\(482\) | −1.08228 | − | 1.08228i | −0.0492964 | − | 0.0492964i | ||||
\(483\) | −4.68087 | −0.212987 | ||||||||
\(484\) | 18.4862i | 0.840282i | ||||||||
\(485\) | 15.6890 | − | 2.01187i | 0.712399 | − | 0.0913543i | ||||
\(486\) | 5.63904 | + | 5.63904i | 0.255792 | + | 0.255792i | ||||
\(487\) | 6.15896i | 0.279089i | 0.990216 | + | 0.139545i | \(0.0445638\pi\) | ||||
−0.990216 | + | 0.139545i | \(0.955436\pi\) | |||||||
\(488\) | 11.4982i | 0.520500i | ||||||||
\(489\) | 0.0877545 | + | 0.0877545i | 0.00396840 | + | 0.00396840i | ||||
\(490\) | 7.13041 | − | 0.914366i | 0.322119 | − | 0.0413068i | ||||
\(491\) | − | 14.8136i | − | 0.668530i | −0.942479 | − | 0.334265i | \(-0.891512\pi\) | ||
0.942479 | − | 0.334265i | \(-0.108488\pi\) | |||||||
\(492\) | −0.914640 | −0.0412352 | ||||||||
\(493\) | −15.9781 | − | 15.9781i | −0.719615 | − | 0.719615i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −1.98914 | + | 2.57433i | −0.0894051 | + | 0.115708i | ||||
\(496\) | 12.5016 | + | 12.5016i | 0.561338 | + | 0.561338i | ||||
\(497\) | 17.4223 | + | 17.4223i | 0.781496 | + | 0.781496i | ||||
\(498\) | −0.702560 | − | 0.702560i | −0.0314825 | − | 0.0314825i | ||||
\(499\) | 21.0529 | − | 21.0529i | 0.942459 | − | 0.942459i | −0.0559733 | − | 0.998432i | \(-0.517826\pi\) |
0.998432 | + | 0.0559733i | \(0.0178262\pi\) | |||||||
\(500\) | 7.33009 | + | 18.2137i | 0.327811 | + | 0.814541i | ||||
\(501\) | −14.3876 | + | 14.3876i | −0.642790 | + | 0.642790i | ||||
\(502\) | 14.5844 | 0.650933 | ||||||||
\(503\) | −27.4075 | + | 27.4075i | −1.22204 | + | 1.22204i | −0.255133 | + | 0.966906i | \(0.582119\pi\) |
−0.966906 | + | 0.255133i | \(0.917881\pi\) | |||||||
\(504\) | 14.4256 | 0.642567 | ||||||||
\(505\) | −33.2013 | + | 4.25756i | −1.47744 | + | 0.189459i | ||||
\(506\) | 0.459974i | 0.0204484i | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −10.3059 | + | 10.3059i | −0.457250 | + | 0.457250i | ||||
\(509\) | −3.92592 | + | 3.92592i | −0.174013 | + | 0.174013i | −0.788740 | − | 0.614727i | \(-0.789266\pi\) |
0.614727 | + | 0.788740i | \(0.289266\pi\) | |||||||
\(510\) | −0.313669 | − | 2.44606i | −0.0138895 | − | 0.108313i | ||||
\(511\) | 12.4100i | 0.548987i | ||||||||
\(512\) | 22.5909i | 0.998384i | ||||||||
\(513\) | 26.3499 | 1.16338 | ||||||||
\(514\) | −2.50236 | − | 2.50236i | −0.110374 | − | 0.110374i | ||||
\(515\) | −6.14563 | + | 7.95364i | −0.270809 | + | 0.350479i | ||||
\(516\) | 3.57804 | 0.157514 | ||||||||
\(517\) | 1.85229 | − | 1.85229i | 0.0814636 | − | 0.0814636i | ||||
\(518\) | − | 3.33155i | − | 0.146380i | ||||||
\(519\) | 7.27269 | 0.319236 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −13.8692 | −0.607619 | −0.303809 | − | 0.952733i | \(-0.598259\pi\) | ||||
−0.303809 | + | 0.952733i | \(0.598259\pi\) | |||||||
\(522\) | − | 9.94381i | − | 0.435229i | ||||||
\(523\) | 22.1520 | − | 22.1520i | 0.968638 | − | 0.968638i | −0.0308854 | − | 0.999523i | \(-0.509833\pi\) |
0.999523 | + | 0.0308854i | \(0.00983268\pi\) | |||||||
\(524\) | 2.41298 | 0.105411 | ||||||||
\(525\) | −8.74146 | + | 14.9083i | −0.381508 | + | 0.650652i | ||||
\(526\) | −4.70269 | − | 4.70269i | −0.205047 | − | 0.205047i | ||||
\(527\) | −16.1722 | −0.704471 | ||||||||
\(528\) | − | 1.67875i | − | 0.0730583i | ||||||
\(529\) | − | 21.1660i | − | 0.920261i | ||||||
\(530\) | −2.36154 | + | 3.05630i | −0.102579 | + | 0.132757i | ||||
\(531\) | 15.5664 | − | 15.5664i | 0.675522 | − | 0.675522i | ||||
\(532\) | 24.9981 | − | 24.9981i | 1.08381 | − | 1.08381i | ||||
\(533\) | 0 | 0 | ||||||||
\(534\) | 1.56879i | 0.0678882i | ||||||||
\(535\) | −20.8532 | + | 26.9881i | −0.901561 | + | 1.16680i | ||||
\(536\) | −22.7205 | −0.981376 | ||||||||
\(537\) | 10.8745 | − | 10.8745i | 0.469270 | − | 0.469270i | ||||
\(538\) | 4.00246 | 0.172558 | ||||||||
\(539\) | −3.16525 | + | 3.16525i | −0.136337 | + | 0.136337i | ||||
\(540\) | −11.5499 | + | 14.9479i | −0.497030 | + | 0.643254i | ||||
\(541\) | −10.7732 | + | 10.7732i | −0.463175 | + | 0.463175i | −0.899695 | − | 0.436520i | \(-0.856211\pi\) |
0.436520 | + | 0.899695i | \(0.356211\pi\) | |||||||
\(542\) | −3.21184 | − | 3.21184i | −0.137960 | − | 0.137960i | ||||
\(543\) | 11.9950 | + | 11.9950i | 0.514756 | + | 0.514756i | ||||
\(544\) | −8.38228 | − | 8.38228i | −0.359387 | − | 0.359387i | ||||
\(545\) | −5.65278 | − | 4.36780i | −0.242139 | − | 0.187096i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 14.2704 | + | 14.2704i | 0.610159 | + | 0.610159i | 0.942987 | − | 0.332828i | \(-0.108003\pi\) |
−0.332828 | + | 0.942987i | \(0.608003\pi\) | |||||||
\(548\) | 21.6480 | 0.924757 | ||||||||
\(549\) | 13.1130i | 0.559650i | ||||||||
\(550\) | 1.46499 | + | 0.858995i | 0.0624674 | + | 0.0366277i | ||||
\(551\) | −36.8569 | − | 36.8569i | −1.57016 | − | 1.57016i | ||||
\(552\) | 2.36257i | 0.100558i | ||||||||
\(553\) | − | 11.4730i | − | 0.487882i | ||||||
\(554\) | −9.02605 | − | 9.02605i | −0.383480 | − | 0.383480i | ||||
\(555\) | 3.05372 | + | 2.35955i | 0.129623 | + | 0.100157i | ||||
\(556\) | 11.2415i | 0.476747i | ||||||||
\(557\) | 16.7117 | 0.708096 | 0.354048 | − | 0.935227i | \(-0.384805\pi\) | ||||
0.354048 | + | 0.935227i | \(0.384805\pi\) | |||||||
\(558\) | −5.03231 | − | 5.03231i | −0.213035 | − | 0.213035i | ||||
\(559\) | 0 | 0 | ||||||||
\(560\) | 2.71361 | + | 21.1613i | 0.114671 | + | 0.894227i | ||||
\(561\) | 1.08582 | + | 1.08582i | 0.0458435 | + | 0.0458435i | ||||
\(562\) | 2.67659 | + | 2.67659i | 0.112905 | + | 0.112905i | ||||
\(563\) | −15.9601 | − | 15.9601i | −0.672637 | − | 0.672637i | 0.285686 | − | 0.958323i | \(-0.407779\pi\) |
−0.958323 | + | 0.285686i | \(0.907779\pi\) | |||||||
\(564\) | 4.44802 | − | 4.44802i | 0.187296 | − | 0.187296i | ||||
\(565\) | −29.3204 | − | 22.6553i | −1.23352 | − | 0.953115i | ||||
\(566\) | 3.06829 | − | 3.06829i | 0.128970 | − | 0.128970i | ||||
\(567\) | 6.70030 | 0.281386 | ||||||||
\(568\) | 8.79352 | − | 8.79352i | 0.368968 | − | 0.368968i | ||||
\(569\) | −5.73685 | −0.240501 | −0.120251 | − | 0.992744i | \(-0.538370\pi\) | ||||
−0.120251 | + | 0.992744i | \(0.538370\pi\) | |||||||
\(570\) | −0.723548 | − | 5.64237i | −0.0303061 | − | 0.236333i | ||||
\(571\) | 46.5634i | 1.94862i | 0.225214 | + | 0.974309i | \(0.427692\pi\) | ||||
−0.225214 | + | 0.974309i | \(0.572308\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −3.45183 | + | 3.45183i | −0.144202 | + | 0.144202i | ||||
\(574\) | 0.710953 | − | 0.710953i | 0.0296746 | − | 0.0296746i | ||||
\(575\) | 5.84121 | + | 3.42498i | 0.243595 | + | 0.142832i | ||||
\(576\) | 5.76730i | 0.240304i | ||||||||
\(577\) | − | 28.9429i | − | 1.20491i | −0.798153 | − | 0.602455i | \(-0.794189\pi\) | ||
0.798153 | − | 0.602455i | \(-0.205811\pi\) | |||||||
\(578\) | −5.61160 | −0.233412 | ||||||||
\(579\) | −6.71707 | − | 6.71707i | −0.279152 | − | 0.279152i | ||||
\(580\) | 37.0638 | − | 4.75287i | 1.53899 | − | 0.197352i | ||||
\(581\) | −7.86254 | −0.326193 | ||||||||
\(582\) | 2.32320 | − | 2.32320i | 0.0962999 | − | 0.0962999i | ||||
\(583\) | − | 2.40503i | − | 0.0996060i | ||||||
\(584\) | 6.26369 | 0.259193 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −6.53726 | −0.270052 | ||||||||
\(587\) | − | 19.6915i | − | 0.812757i | −0.913705 | − | 0.406379i | \(-0.866791\pi\) | ||
0.913705 | − | 0.406379i | \(-0.133209\pi\) | |||||||
\(588\) | −7.60091 | + | 7.60091i | −0.313456 | + | 0.313456i | ||||
\(589\) | −37.3047 | −1.53712 | ||||||||
\(590\) | −9.09338 | − | 7.02628i | −0.374368 | − | 0.289267i | ||||
\(591\) | −8.68700 | − | 8.68700i | −0.357335 | − | 0.357335i | ||||
\(592\) | 4.76402 | 0.195800 | ||||||||
\(593\) | 21.8216i | 0.896106i | 0.894007 | + | 0.448053i | \(0.147882\pi\) | ||||
−0.894007 | + | 0.448053i | \(0.852118\pi\) | |||||||
\(594\) | 1.63397i | 0.0670427i | ||||||||
\(595\) | −15.4424 | − | 11.9320i | −0.633077 | − | 0.489166i | ||||
\(596\) | 20.8641 | − | 20.8641i | 0.854627 | − | 0.854627i | ||||
\(597\) | −5.22002 | + | 5.22002i | −0.213641 | + | 0.213641i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 37.6041i | 1.53646i | 0.640172 | + | 0.768232i | \(0.278863\pi\) | ||||
−0.640172 | + | 0.768232i | \(0.721137\pi\) | |||||||
\(600\) | 7.52464 | + | 4.41206i | 0.307192 | + | 0.180122i | ||||
\(601\) | −20.2975 | −0.827952 | −0.413976 | − | 0.910288i | \(-0.635860\pi\) | ||||
−0.413976 | + | 0.910288i | \(0.635860\pi\) | |||||||
\(602\) | −2.78122 | + | 2.78122i | −0.113354 | + | 0.113354i | ||||
\(603\) | −25.9113 | −1.05519 | ||||||||
\(604\) | −5.82207 | + | 5.82207i | −0.236897 | + | 0.236897i | ||||
\(605\) | 23.3481 | − | 2.99404i | 0.949235 | − | 0.121725i | ||||
\(606\) | −4.91641 | + | 4.91641i | −0.199716 | + | 0.199716i | ||||
\(607\) | 24.3632 | + | 24.3632i | 0.988874 | + | 0.988874i | 0.999939 | − | 0.0110652i | \(-0.00352225\pi\) |
−0.0110652 | + | 0.999939i | \(0.503522\pi\) | |||||||
\(608\) | −19.3356 | − | 19.3356i | −0.784162 | − | 0.784162i | ||||
\(609\) | 23.2583 | + | 23.2583i | 0.942475 | + | 0.942475i | ||||
\(610\) | 6.78955 | − | 0.870657i | 0.274901 | − | 0.0352519i | ||||
\(611\) | 0 | 0 | ||||||||
\(612\) | −6.23794 | − | 6.23794i | −0.252154 | − | 0.252154i | ||||
\(613\) | −24.8665 | −1.00435 | −0.502173 | − | 0.864767i | \(-0.667466\pi\) | ||||
−0.502173 | + | 0.864767i | \(0.667466\pi\) | |||||||
\(614\) | − | 7.64473i | − | 0.308516i | ||||||
\(615\) | 0.148136 | + | 1.15519i | 0.00597341 | + | 0.0465818i | ||||
\(616\) | 3.31563 | + | 3.31563i | 0.133591 | + | 0.133591i | ||||
\(617\) | − | 27.8161i | − | 1.11983i | −0.828548 | − | 0.559917i | \(-0.810833\pi\) | ||
0.828548 | − | 0.559917i | \(-0.189167\pi\) | |||||||
\(618\) | 2.08780i | 0.0839838i | ||||||||
\(619\) | −19.5593 | − | 19.5593i | −0.786156 | − | 0.786156i | 0.194705 | − | 0.980862i | \(-0.437625\pi\) |
−0.980862 | + | 0.194705i | \(0.937625\pi\) | |||||||
\(620\) | 16.3518 | − | 21.1624i | 0.656702 | − | 0.849901i | ||||
\(621\) | 6.51497i | 0.261437i | ||||||||
\(622\) | 2.64199 | 0.105934 | ||||||||
\(623\) | 8.77838 | + | 8.77838i | 0.351698 | + | 0.351698i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 21.8167 | − | 12.2078i | 0.872669 | − | 0.488312i | ||||
\(626\) | 12.0474 | + | 12.0474i | 0.481510 | + | 0.481510i | ||||
\(627\) | 2.50470 | + | 2.50470i | 0.100028 | + | 0.100028i | ||||
\(628\) | 17.3489 | + | 17.3489i | 0.692295 | + | 0.692295i | ||||
\(629\) | −3.08139 | + | 3.08139i | −0.122863 | + | 0.122863i | ||||
\(630\) | −1.09232 | − | 8.51813i | −0.0435191 | − | 0.339371i | ||||
\(631\) | −9.23751 | + | 9.23751i | −0.367739 | + | 0.367739i | −0.866652 | − | 0.498913i | \(-0.833733\pi\) |
0.498913 | + | 0.866652i | \(0.333733\pi\) | |||||||
\(632\) | −5.79076 | −0.230344 | ||||||||
\(633\) | −8.26153 | + | 8.26153i | −0.328366 | + | 0.328366i | ||||
\(634\) | 9.37679 | 0.372400 | ||||||||
\(635\) | 14.6855 | + | 11.3472i | 0.582777 | + | 0.450300i | ||||
\(636\) | − | 5.77534i | − | 0.229007i | ||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 2.28552 | − | 2.28552i | 0.0904846 | − | 0.0904846i | ||||
\(639\) | 10.0285 | − | 10.0285i | 0.396720 | − | 0.396720i | ||||
\(640\) | 25.1313 | − | 3.22271i | 0.993402 | − | 0.127389i | ||||
\(641\) | 27.3770i | 1.08133i | 0.841239 | + | 0.540663i | \(0.181827\pi\) | ||||
−0.841239 | + | 0.540663i | \(0.818173\pi\) | |||||||
\(642\) | 7.08428i | 0.279594i | ||||||||
\(643\) | 31.5021 | 1.24232 | 0.621161 | − | 0.783683i | \(-0.286661\pi\) | ||||
0.621161 | + | 0.783683i | \(0.286661\pi\) | |||||||
\(644\) | 6.18074 | + | 6.18074i | 0.243555 | + | 0.243555i | ||||
\(645\) | −0.579501 | − | 4.51907i | −0.0228178 | − | 0.177938i | ||||
\(646\) | 6.42361 | 0.252734 | ||||||||
\(647\) | −29.5351 | + | 29.5351i | −1.16114 | + | 1.16114i | −0.176919 | + | 0.984225i | \(0.556613\pi\) |
−0.984225 | + | 0.176919i | \(0.943387\pi\) | |||||||
\(648\) | − | 3.38183i | − | 0.132851i | ||||||
\(649\) | 7.15565 | 0.280884 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 23.5409 | 0.922641 | ||||||||
\(652\) | − | 0.231747i | − | 0.00907589i | ||||||
\(653\) | −10.7389 | + | 10.7389i | −0.420244 | + | 0.420244i | −0.885288 | − | 0.465044i | \(-0.846039\pi\) |
0.465044 | + | 0.885288i | \(0.346039\pi\) | |||||||
\(654\) | −1.48384 | −0.0580226 | ||||||||
\(655\) | −0.390807 | − | 3.04759i | −0.0152701 | − | 0.119079i | ||||
\(656\) | 1.01664 | + | 1.01664i | 0.0396932 | + | 0.0396932i | ||||
\(657\) | 7.14335 | 0.278689 | ||||||||
\(658\) | 6.91493i | 0.269572i | ||||||||
\(659\) | − | 28.5112i | − | 1.11064i | −0.831638 | − | 0.555319i | \(-0.812596\pi\) | ||
0.831638 | − | 0.555319i | \(-0.187404\pi\) | |||||||
\(660\) | −2.51875 | + | 0.322992i | −0.0980424 | + | 0.0125724i | ||||
\(661\) | −4.45573 | + | 4.45573i | −0.173308 | + | 0.173308i | −0.788431 | − | 0.615123i | \(-0.789106\pi\) |
0.615123 | + | 0.788431i | \(0.289106\pi\) | |||||||
\(662\) | 2.45054 | − | 2.45054i | 0.0952430 | − | 0.0952430i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 3.96845i | 0.154006i | ||||||||
\(665\) | −35.6213 | − | 27.5239i | −1.38134 | − | 1.06733i | ||||
\(666\) | −1.91768 | −0.0743086 | ||||||||
\(667\) | 9.11282 | − | 9.11282i | 0.352850 | − | 0.352850i | ||||
\(668\) | 37.9955 | 1.47009 | ||||||||
\(669\) | −6.61299 | + | 6.61299i | −0.255673 | + | 0.255673i | ||||
\(670\) | 1.72042 | + | 13.4162i | 0.0664656 | + | 0.518312i | ||||
\(671\) | −3.01394 | + | 3.01394i | −0.116352 | + | 0.116352i | ||||
\(672\) | 12.2016 | + | 12.2016i | 0.470687 | + | 0.470687i | ||||
\(673\) | 16.1992 | + | 16.1992i | 0.624433 | + | 0.624433i | 0.946662 | − | 0.322229i | \(-0.104432\pi\) |
−0.322229 | + | 0.946662i | \(0.604432\pi\) | |||||||
\(674\) | −0.544256 | − | 0.544256i | −0.0209640 | − | 0.0209640i | ||||
\(675\) | 20.7498 | + | 12.1666i | 0.798660 | + | 0.468293i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −16.1247 | − | 16.1247i | −0.619724 | − | 0.619724i | 0.325736 | − | 0.945461i | \(-0.394388\pi\) |
−0.945461 | + | 0.325736i | \(0.894388\pi\) | |||||||
\(678\) | −7.69650 | −0.295582 | ||||||||
\(679\) | − | 25.9996i | − | 0.997772i | ||||||
\(680\) | −6.02244 | + | 7.79422i | −0.230950 | + | 0.298895i | ||||
\(681\) | −9.71227 | − | 9.71227i | −0.372175 | − | 0.372175i | ||||
\(682\) | − | 2.31329i | − | 0.0885804i | ||||||
\(683\) | 32.0480i | 1.22628i | 0.789973 | + | 0.613142i | \(0.210095\pi\) | ||||
−0.789973 | + | 0.613142i | \(0.789905\pi\) | |||||||
\(684\) | −14.3892 | − | 14.3892i | −0.550185 | − | 0.550185i | ||||
\(685\) | −3.50612 | − | 27.3415i | −0.133962 | − | 1.04466i | ||||
\(686\) | 0.890888i | 0.0340143i | ||||||||
\(687\) | −20.7711 | −0.792468 | ||||||||
\(688\) | −3.97707 | − | 3.97707i | −0.151624 | − | 0.151624i | ||||
\(689\) | 0 | 0 | ||||||||
\(690\) | 1.39507 | − | 0.178896i | 0.0531093 | − | 0.00681046i | ||||
\(691\) | 0.389645 | + | 0.389645i | 0.0148228 | + | 0.0148228i | 0.714479 | − | 0.699657i | \(-0.246664\pi\) |
−0.699657 | + | 0.714479i | \(0.746664\pi\) | |||||||
\(692\) | −9.60305 | − | 9.60305i | −0.365053 | − | 0.365053i | ||||
\(693\) | 3.78127 | + | 3.78127i | 0.143639 | + | 0.143639i | ||||
\(694\) | −9.02132 | + | 9.02132i | −0.342445 | + | 0.342445i | ||||
\(695\) | 14.1981 | − | 1.82069i | 0.538564 | − | 0.0690626i | ||||
\(696\) | 11.7391 | − | 11.7391i | 0.444971 | − | 0.444971i | ||||
\(697\) | −1.31514 | −0.0498144 | ||||||||
\(698\) | −3.28282 | + | 3.28282i | −0.124257 | + | 0.124257i | ||||
\(699\) | −22.0268 | −0.833130 | ||||||||
\(700\) | 31.2277 | − | 8.14286i | 1.18030 | − | 0.307771i | ||||
\(701\) | − | 9.52279i | − | 0.359671i | −0.983697 | − | 0.179835i | \(-0.942443\pi\) | ||
0.983697 | − | 0.179835i | \(-0.0575565\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −7.10792 | + | 7.10792i | −0.268080 | + | 0.268080i | ||||
\(704\) | −1.32558 | + | 1.32558i | −0.0499595 | + | 0.0499595i | ||||
\(705\) | −6.33826 | − | 4.89745i | −0.238713 | − | 0.184449i | ||||
\(706\) | − | 1.61282i | − | 0.0606993i | ||||||
\(707\) | 55.0209i | 2.06927i | ||||||||
\(708\) | 17.1833 | 0.645789 | ||||||||
\(709\) | 22.9477 | + | 22.9477i | 0.861819 | + | 0.861819i | 0.991549 | − | 0.129730i | \(-0.0414112\pi\) |
−0.129730 | + | 0.991549i | \(0.541411\pi\) | |||||||
\(710\) | −5.85831 | − | 4.52661i | −0.219859 | − | 0.169881i | ||||
\(711\) | −6.60400 | −0.247669 | ||||||||
\(712\) | 4.43070 | − | 4.43070i | 0.166047 | − | 0.166047i | ||||
\(713\) | − | 9.22354i | − | 0.345424i | ||||||
\(714\) | −4.05358 | −0.151701 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −28.7180 | −1.07324 | ||||||||
\(717\) | − | 19.4197i | − | 0.725243i | ||||||
\(718\) | −1.54142 | + | 1.54142i | −0.0575251 | + | 0.0575251i | ||||
\(719\) | −8.42479 | −0.314192 | −0.157096 | − | 0.987583i | \(-0.550213\pi\) | ||||
−0.157096 | + | 0.987583i | \(0.550213\pi\) | |||||||
\(720\) | 12.1807 | − | 1.56199i | 0.453947 | − | 0.0582118i | ||||
\(721\) | 11.6826 | + | 11.6826i | 0.435082 | + | 0.435082i | ||||
\(722\) | 5.43336 | 0.202209 | ||||||||
\(723\) | − | 2.91423i | − | 0.108381i | ||||||
\(724\) | − | 31.6771i | − | 1.17727i | ||||||
\(725\) | −12.0058 | − | 46.0418i | −0.445882 | − | 1.70995i | ||||
\(726\) | 3.45736 | − | 3.45736i | 0.128315 | − | 0.128315i | ||||
\(727\) | −8.33682 | + | 8.33682i | −0.309195 | + | 0.309195i | −0.844597 | − | 0.535402i | \(-0.820160\pi\) |
0.535402 | + | 0.844597i | \(0.320160\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 9.71523i | 0.359824i | ||||||||
\(730\) | −0.474293 | − | 3.69863i | −0.0175544 | − | 0.136892i | ||||
\(731\) | 5.14477 | 0.190286 | ||||||||
\(732\) | −7.23757 | + | 7.23757i | −0.267508 | + | 0.267508i | ||||
\(733\) | −18.6238 | −0.687887 | −0.343944 | − | 0.938990i | \(-0.611763\pi\) | ||||
−0.343944 | + | 0.938990i | \(0.611763\pi\) | |||||||
\(734\) | −8.76238 | + | 8.76238i | −0.323425 | + | 0.323425i | ||||
\(735\) | 10.8310 | + | 8.36891i | 0.399508 | + | 0.308692i | ||||
\(736\) | 4.78070 | − | 4.78070i | 0.176219 | − | 0.176219i | ||||
\(737\) | −5.95555 | − | 5.95555i | −0.219375 | − | 0.219375i | ||||
\(738\) | −0.409233 | − | 0.409233i | −0.0150641 | − | 0.0150641i | ||||
\(739\) | 23.3334 | + | 23.3334i | 0.858332 | + | 0.858332i | 0.991142 | − | 0.132809i | \(-0.0423998\pi\) |
−0.132809 | + | 0.991142i | \(0.542400\pi\) | |||||||
\(740\) | −0.916598 | − | 7.14782i | −0.0336948 | − | 0.262759i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 4.48920 | + | 4.48920i | 0.164804 | + | 0.164804i | ||||
\(743\) | 37.5700 | 1.37831 | 0.689155 | − | 0.724614i | \(-0.257982\pi\) | ||||
0.689155 | + | 0.724614i | \(0.257982\pi\) | |||||||
\(744\) | − | 11.8818i | − | 0.435607i | ||||||
\(745\) | −29.7305 | − | 22.9722i | −1.08924 | − | 0.841637i | ||||
\(746\) | −3.99061 | − | 3.99061i | −0.146107 | − | 0.146107i | ||||
\(747\) | 4.52577i | 0.165589i | ||||||||
\(748\) | − | 2.86750i | − | 0.104846i | ||||||
\(749\) | 39.6410 | + | 39.6410i | 1.44845 | + | 1.44845i | ||||
\(750\) | 2.03549 | − | 4.77729i | 0.0743257 | − | 0.174442i | ||||
\(751\) | 33.6077i | 1.22636i | 0.789943 | + | 0.613181i | \(0.210110\pi\) | ||||
−0.789943 | + | 0.613181i | \(0.789890\pi\) | |||||||
\(752\) | −9.88815 | −0.360584 | ||||||||
\(753\) | 19.6356 | + | 19.6356i | 0.715560 | + | 0.715560i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 8.29623 | + | 6.41034i | 0.301931 | + | 0.233296i | ||||
\(756\) | 21.9559 | + | 21.9559i | 0.798530 | + | 0.798530i | ||||
\(757\) | −11.4105 | − | 11.4105i | −0.414722 | − | 0.414722i | 0.468658 | − | 0.883380i | \(-0.344738\pi\) |
−0.883380 | + | 0.468658i | \(0.844738\pi\) | |||||||
\(758\) | 0.701816 | + | 0.701816i | 0.0254911 | + | 0.0254911i | ||||
\(759\) | −0.619282 | + | 0.619282i | −0.0224785 | + | 0.0224785i | ||||
\(760\) | −13.8921 | + | 17.9791i | −0.503920 | + | 0.652171i | ||||
\(761\) | 11.0788 | − | 11.0788i | 0.401608 | − | 0.401608i | −0.477192 | − | 0.878799i | \(-0.658345\pi\) |
0.878799 | + | 0.477192i | \(0.158345\pi\) | |||||||
\(762\) | 3.85490 | 0.139648 | ||||||||
\(763\) | −8.30300 | + | 8.30300i | −0.300589 | + | 0.300589i | ||||
\(764\) | 9.11577 | 0.329797 | ||||||||
\(765\) | −6.86822 | + | 8.88882i | −0.248321 | + | 0.321376i | ||||
\(766\) | − | 13.0645i | − | 0.472039i | ||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | 0.0960396 | − | 0.0960396i | 0.00346553 | − | 0.00346553i | ||||
\(769\) | 23.0566 | − | 23.0566i | 0.831442 | − | 0.831442i | −0.156272 | − | 0.987714i | \(-0.549948\pi\) |
0.987714 | + | 0.156272i | \(0.0499477\pi\) | |||||||
\(770\) | 1.70677 | − | 2.20890i | 0.0615079 | − | 0.0796032i | ||||
\(771\) | − | 6.73805i | − | 0.242665i | ||||||
\(772\) | 17.7388i | 0.638433i | ||||||||
\(773\) | 23.9061 | 0.859843 | 0.429921 | − | 0.902866i | \(-0.358541\pi\) | ||||
0.429921 | + | 0.902866i | \(0.358541\pi\) | |||||||
\(774\) | 1.60090 | + | 1.60090i | 0.0575433 | + | 0.0575433i | ||||
\(775\) | −29.3764 | − | 17.2248i | −1.05523 | − | 0.618733i | ||||
\(776\) | −13.1227 | −0.471078 | ||||||||
\(777\) | 4.48541 | − | 4.48541i | 0.160913 | − | 0.160913i | ||||
\(778\) | − | 0.321083i | − | 0.0115114i | ||||||
\(779\) | −3.03366 | −0.108692 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 4.60995 | 0.164957 | ||||||||
\(782\) | 1.58823i | 0.0567949i | ||||||||
\(783\) | 32.3716 | − | 32.3716i | 1.15687 | − | 1.15687i | ||||
\(784\) | 16.8972 | 0.603470 | ||||||||
\(785\) | 19.1018 | − | 24.7214i | 0.681772 | − | 0.882346i | ||||
\(786\) | −0.451284 | − | 0.451284i | −0.0160968 | − | 0.0160968i | ||||
\(787\) | 15.7114 | 0.560052 | 0.280026 | − | 0.959992i | \(-0.409657\pi\) | ||||
0.280026 | + | 0.959992i | \(0.409657\pi\) | |||||||
\(788\) | 22.9411i | 0.817242i | ||||||||
\(789\) | − | 12.6629i | − | 0.450809i | ||||||
\(790\) | 0.438482 | + | 3.41937i | 0.0156005 | + | 0.121656i | ||||
\(791\) | −43.0668 | + | 43.0668i | −1.53128 | + | 1.53128i | ||||
\(792\) | 1.90851 | − | 1.90851i | 0.0678161 | − | 0.0678161i | ||||
\(793\) | 0 | 0 | ||||||||
\(794\) | − | 13.3394i | − | 0.473397i | ||||||
\(795\) | −7.29426 | + | 0.935377i | −0.258701 | + | 0.0331744i | ||||
\(796\) | 13.7853 | 0.488606 | ||||||||
\(797\) | 22.0835 | − | 22.0835i | 0.782237 | − | 0.782237i | −0.197971 | − | 0.980208i | \(-0.563435\pi\) |
0.980208 | + | 0.197971i | \(0.0634351\pi\) | |||||||
\(798\) | −9.35048 | −0.331003 | ||||||||
\(799\) | 6.39570 | − | 6.39570i | 0.226264 | − | 0.226264i | ||||
\(800\) | −6.29836 | − | 24.1541i | −0.222681 | − | 0.853977i | ||||
\(801\) | 5.05293 | − | 5.05293i | 0.178537 | − | 0.178537i | ||||
\(802\) | −1.73177 | − | 1.73177i | −0.0611508 | − | 0.0611508i | ||||
\(803\) | 1.64185 | + | 1.64185i | 0.0579397 | + | 0.0579397i | ||||
\(804\) | −14.3014 | − | 14.3014i | −0.504373 | − | 0.504373i | ||||
\(805\) | 6.80525 | − | 8.80732i | 0.239853 | − | 0.310417i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 5.38868 | + | 5.38868i | 0.189690 | + | 0.189690i | ||||
\(808\) | 27.7706 | 0.976966 | ||||||||
\(809\) | − | 13.2266i | − | 0.465023i | −0.972594 | − | 0.232512i | \(-0.925306\pi\) | ||
0.972594 | − | 0.232512i | \(-0.0746944\pi\) | |||||||
\(810\) | −1.99693 | + | 0.256076i | −0.0701649 | + | 0.00899758i | ||||
\(811\) | 22.0736 | + | 22.0736i | 0.775109 | + | 0.775109i | 0.978995 | − | 0.203886i | \(-0.0653572\pi\) |
−0.203886 | + | 0.978995i | \(0.565357\pi\) | |||||||
\(812\) | − | 61.4218i | − | 2.15548i | ||||||
\(813\) | − | 8.64846i | − | 0.303315i | ||||||
\(814\) | −0.440767 | − | 0.440767i | −0.0154489 | − | 0.0154489i | ||||
\(815\) | −0.292696 | + | 0.0375338i | −0.0102527 | + | 0.00131475i | ||||
\(816\) | − | 5.79650i | − | 0.202918i | ||||||
\(817\) | 11.8676 | 0.415194 | ||||||||
\(818\) | −2.11139 | − | 2.11139i | −0.0738230 | − | 0.0738230i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 1.32974 | − | 1.72095i | 0.0464366 | − | 0.0600981i | ||||
\(821\) | 6.40442 | + | 6.40442i | 0.223516 | + | 0.223516i | 0.809977 | − | 0.586461i | \(-0.199479\pi\) |
−0.586461 | + | 0.809977i | \(0.699479\pi\) | |||||||
\(822\) | −4.04869 | − | 4.04869i | −0.141214 | − | 0.141214i | ||||
\(823\) | 29.6566 | + | 29.6566i | 1.03376 | + | 1.03376i | 0.999410 | + | 0.0343543i | \(0.0109375\pi\) |
0.0343543 | + | 0.999410i | \(0.489063\pi\) | |||||||
\(824\) | 5.89653 | − | 5.89653i | 0.205415 | − | 0.205415i | ||||
\(825\) | 0.815878 | + | 3.12888i | 0.0284052 | + | 0.108934i | ||||
\(826\) | −13.3567 | + | 13.3567i | −0.464738 | + | 0.464738i | ||||
\(827\) | 38.2009 | 1.32838 | 0.664188 | − | 0.747566i | \(-0.268778\pi\) | ||||
0.664188 | + | 0.747566i | \(0.268778\pi\) | |||||||
\(828\) | 3.55771 | − | 3.55771i | 0.123639 | − | 0.123639i | ||||
\(829\) | 29.3499 | 1.01936 | 0.509682 | − | 0.860363i | \(-0.329763\pi\) | ||||
0.509682 | + | 0.860363i | \(0.329763\pi\) | |||||||
\(830\) | 2.34332 | − | 0.300495i | 0.0813377 | − | 0.0104303i | ||||
\(831\) | − | 24.3043i | − | 0.843106i | ||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −10.9292 | + | 10.9292i | −0.378673 | + | 0.378673i | ||||
\(834\) | 2.10243 | − | 2.10243i | 0.0728014 | − | 0.0728014i | ||||
\(835\) | −6.15377 | − | 47.9883i | −0.212960 | − | 1.66070i | ||||
\(836\) | − | 6.61453i | − | 0.228768i | ||||||
\(837\) | − | 32.7649i | − | 1.13252i | ||||||
\(838\) | 2.65259 | 0.0916321 | ||||||||
\(839\) | 24.9140 | + | 24.9140i | 0.860125 | + | 0.860125i | 0.991352 | − | 0.131227i | \(-0.0418917\pi\) |
−0.131227 | + | 0.991352i | \(0.541892\pi\) | |||||||
\(840\) | 8.76652 | − | 11.3456i | 0.302474 | − | 0.391460i | ||||
\(841\) | −61.5596 | −2.12274 | ||||||||
\(842\) | −6.98264 | + | 6.98264i | −0.240638 | + | 0.240638i | ||||
\(843\) | 7.20721i | 0.248230i | ||||||||
\(844\) | 21.8175 | 0.750988 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 3.98031 | 0.136846 | ||||||||
\(847\) | − | 38.6922i | − | 1.32948i | ||||||
\(848\) | −6.41942 | + | 6.41942i | −0.220444 | + | 0.220444i | ||||
\(849\) | 8.26193 | 0.283549 | ||||||||
\(850\) | 5.05841 | + | 2.96599i | 0.173502 | + | 0.101733i | ||||
\(851\) | −1.75742 | − | 1.75742i | −0.0602437 | − | 0.0602437i | ||||
\(852\) | 11.0702 | 0.379258 | ||||||||
\(853\) | − | 17.6392i | − | 0.603954i | −0.953315 | − | 0.301977i | \(-0.902353\pi\) | ||
0.953315 | − | 0.301977i | \(-0.0976465\pi\) | |||||||
\(854\) | − | 11.2516i | − | 0.385021i | ||||||
\(855\) | −15.8431 | + | 20.5041i | −0.541822 | + | 0.701224i | ||||
\(856\) | 20.0080 | − | 20.0080i | 0.683858 | − | 0.683858i | ||||
\(857\) | 6.30427 | − | 6.30427i | 0.215350 | − | 0.215350i | −0.591186 | − | 0.806535i | \(-0.701340\pi\) |
0.806535 | + | 0.591186i | \(0.201340\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 29.2307i | 0.997338i | 0.866793 | + | 0.498669i | \(0.166178\pi\) | ||||
−0.866793 | + | 0.498669i | \(0.833822\pi\) | |||||||
\(860\) | −5.20190 | + | 6.73228i | −0.177383 | + | 0.229569i | ||||
\(861\) | 1.91437 | 0.0652416 | ||||||||
\(862\) | 5.82905 | − | 5.82905i | 0.198538 | − | 0.198538i | ||||
\(863\) | −15.7688 | −0.536775 | −0.268387 | − | 0.963311i | \(-0.586491\pi\) | ||||
−0.268387 | + | 0.963311i | \(0.586491\pi\) | |||||||
\(864\) | 16.9825 | − | 16.9825i | 0.577758 | − | 0.577758i | ||||
\(865\) | −10.5733 | + | 13.6840i | −0.359504 | + | 0.465269i | ||||
\(866\) | 2.65202 | − | 2.65202i | 0.0901192 | − | 0.0901192i | ||||
\(867\) | −7.55512 | − | 7.55512i | −0.256585 | − | 0.256585i | ||||
\(868\) | −31.0840 | − | 31.0840i | −1.05506 | − | 1.05506i | ||||
\(869\) | −1.51789 | − | 1.51789i | −0.0514908 | − | 0.0514908i | ||||
\(870\) | −7.82071 | − | 6.04291i | −0.265147 | − | 0.204874i | ||||
\(871\) | 0 | 0 | ||||||||
\(872\) | 4.19076 | + | 4.19076i | 0.141917 | + | 0.141917i | ||||
\(873\) | −14.9657 | −0.506511 | ||||||||
\(874\) | 3.66360i | 0.123923i | ||||||||
\(875\) | −15.3421 | − | 38.1218i | −0.518658 | − | 1.28875i | ||||
\(876\) | 3.94269 | + | 3.94269i | 0.133211 | + | 0.133211i | ||||
\(877\) | − | 44.7226i | − | 1.51018i | −0.655623 | − | 0.755088i | \(-0.727594\pi\) | ||
0.655623 | − | 0.755088i | \(-0.272406\pi\) | |||||||
\(878\) | − | 6.76187i | − | 0.228202i | ||||||
\(879\) | −8.80139 | − | 8.80139i | −0.296863 | − | 0.296863i | ||||
\(880\) | 3.15866 | + | 2.44064i | 0.106479 | + | 0.0822739i | ||||
\(881\) | 20.8220i | 0.701510i | 0.936467 | + | 0.350755i | \(0.114075\pi\) | ||||
−0.936467 | + | 0.350755i | \(0.885925\pi\) | |||||||
\(882\) | −6.80168 | −0.229024 | ||||||||
\(883\) | 5.33747 | + | 5.33747i | 0.179620 | + | 0.179620i | 0.791190 | − | 0.611570i | \(-0.209462\pi\) |
−0.611570 | + | 0.791190i | \(0.709462\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −2.78302 | − | 21.7026i | −0.0935502 | − | 0.729523i | ||||
\(886\) | 3.19204 | + | 3.19204i | 0.107239 | + | 0.107239i | ||||
\(887\) | −18.9536 | − | 18.9536i | −0.636399 | − | 0.636399i | 0.313266 | − | 0.949665i | \(-0.398577\pi\) |
−0.949665 | + | 0.313266i | \(0.898577\pi\) | |||||||
\(888\) | −2.26391 | − | 2.26391i | −0.0759719 | − | 0.0759719i | ||||
\(889\) | 21.5706 | − | 21.5706i | 0.723454 | − | 0.723454i | ||||
\(890\) | −2.95177 | − | 2.28077i | −0.0989435 | − | 0.0764517i | ||||
\(891\) | 0.886453 | − | 0.886453i | 0.0296973 | − | 0.0296973i | ||||
\(892\) | 17.4639 | 0.584736 | ||||||||
\(893\) | 14.7531 | − | 14.7531i | 0.493694 | − | 0.493694i | ||||
\(894\) | −7.80417 | −0.261010 | ||||||||
\(895\) | 4.65118 | + | 36.2708i | 0.155472 | + | 1.21240i | ||||
\(896\) | − | 41.6474i | − | 1.39134i | ||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 8.97946 | − | 8.97946i | 0.299648 | − | 0.299648i | ||||
\(899\) | −45.8299 | + | 45.8299i | −1.52851 | + | 1.52851i | ||||
\(900\) | −4.68713 | − | 17.9750i | −0.156238 | − | 0.599168i | ||||
\(901\) | − | 8.30422i | − | 0.276654i | ||||||
\(902\) | − | 0.188119i | − | 0.00626368i | ||||||
\(903\) | −7.48895 | −0.249217 | ||||||||
\(904\) | 21.7370 | + | 21.7370i | 0.722962 | + | 0.722962i | ||||
\(905\) | −40.0082 | + | 5.13044i | −1.32992 | + | 0.170542i | ||||
\(906\) | 2.17773 | 0.0723503 | ||||||||
\(907\) | 28.6677 | − | 28.6677i | 0.951895 | − | 0.951895i | −0.0470002 | − | 0.998895i | \(-0.514966\pi\) |
0.998895 | + | 0.0470002i | \(0.0149661\pi\) | |||||||
\(908\) | 25.6487i | 0.851181i | ||||||||
\(909\) | 31.6707 | 1.05045 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 8.00072 | 0.265076 | 0.132538 | − | 0.991178i | \(-0.457687\pi\) | ||||
0.132538 | + | 0.991178i | \(0.457687\pi\) | |||||||
\(912\) | − | 13.3709i | − | 0.442755i | ||||||
\(913\) | −1.04022 | + | 1.04022i | −0.0344262 | + | 0.0344262i | ||||
\(914\) | −0.408720 | −0.0135193 | ||||||||
\(915\) | 10.3133 | + | 7.96885i | 0.340946 | + | 0.263442i | ||||
\(916\) | 27.4267 | + | 27.4267i | 0.906205 | + | 0.906205i | ||||
\(917\) | −5.05044 | −0.166780 | ||||||||
\(918\) | 5.64189i | 0.186210i | ||||||||
\(919\) | − | 2.12738i | − | 0.0701759i | −0.999384 | − | 0.0350879i | \(-0.988829\pi\) | ||
0.999384 | − | 0.0350879i | \(-0.0111711\pi\) | |||||||
\(920\) | −4.44531 | − | 3.43480i | −0.146557 | − | 0.113242i | ||||
\(921\) | 10.2924 | − | 10.2924i | 0.339146 | − | 0.339146i | ||||
\(922\) | −8.40950 | + | 8.40950i | −0.276952 | + | 0.276952i | ||||
\(923\) | 0 | 0 | ||||||||
\(924\) | 4.17405i | 0.137316i | ||||||||
\(925\) | −8.87925 | + | 2.31533i | −0.291948 | + | 0.0761276i | ||||
\(926\) | 3.13907 | 0.103156 | ||||||||
\(927\) | 6.72463 | − | 6.72463i | 0.220866 | − | 0.220866i | ||||
\(928\) | −47.5087 | −1.55955 | ||||||||
\(929\) | −14.0930 | + | 14.0930i | −0.462378 | + | 0.462378i | −0.899434 | − | 0.437056i | \(-0.856021\pi\) |
0.437056 | + | 0.899434i | \(0.356021\pi\) | |||||||
\(930\) | −7.01603 | + | 0.899699i | −0.230065 | + | 0.0295023i | ||||
\(931\) | −25.2106 | + | 25.2106i | −0.826243 | + | 0.826243i | ||||
\(932\) | 29.0848 | + | 29.0848i | 0.952703 | + | 0.952703i | ||||
\(933\) | 3.55702 | + | 3.55702i | 0.116452 | + | 0.116452i | ||||
\(934\) | −7.71447 | − | 7.71447i | −0.252425 | − | 0.252425i | ||||
\(935\) | −3.62166 | + | 0.464422i | −0.118441 | + | 0.0151882i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 17.2774 | + | 17.2774i | 0.564427 | + | 0.564427i | 0.930562 | − | 0.366135i | \(-0.119319\pi\) |
−0.366135 | + | 0.930562i | \(0.619319\pi\) | |||||||
\(938\) | 22.2331 | 0.725938 | ||||||||
\(939\) | 32.4398i | 1.05863i | ||||||||
\(940\) | 1.90248 | + | 14.8359i | 0.0620521 | + | 0.483894i | ||||
\(941\) | 24.2129 | + | 24.2129i | 0.789319 | + | 0.789319i | 0.981383 | − | 0.192063i | \(-0.0615179\pi\) |
−0.192063 | + | 0.981383i | \(0.561518\pi\) | |||||||
\(942\) | − | 6.48929i | − | 0.211433i | ||||||
\(943\) | − | 0.750068i | − | 0.0244256i | ||||||
\(944\) | −19.0996 | − | 19.0996i | −0.621640 | − | 0.621640i | ||||
\(945\) | 24.1744 | − | 31.2864i | 0.786393 | − | 1.01775i | ||||
\(946\) | 0.735915i | 0.0239267i | ||||||||
\(947\) | −8.30091 | −0.269743 | −0.134872 | − | 0.990863i | \(-0.543062\pi\) | ||||
−0.134872 | + | 0.990863i | \(0.543062\pi\) | |||||||
\(948\) | −3.64500 | − | 3.64500i | −0.118384 | − | 0.118384i | ||||
\(949\) | 0 | 0 | ||||||||
\(950\) | 11.6684 | + | 6.84172i | 0.378572 | + | 0.221975i | ||||
\(951\) | 12.6244 | + | 12.6244i | 0.409373 | + | 0.409373i | ||||
\(952\) | 11.4484 | + | 11.4484i | 0.371045 | + | 0.371045i | ||||
\(953\) | 3.38386 | + | 3.38386i | 0.109614 | + | 0.109614i | 0.759787 | − | 0.650173i | \(-0.225303\pi\) |
−0.650173 | + | 0.759787i | \(0.725303\pi\) | |||||||
\(954\) | 2.58403 | − | 2.58403i | 0.0836611 | − | 0.0836611i | ||||
\(955\) | −1.47640 | − | 11.5132i | −0.0477750 | − | 0.372559i | ||||
\(956\) | −25.6423 | + | 25.6423i | −0.829331 | + | 0.829331i | ||||
\(957\) | 6.15418 | 0.198936 | ||||||||
\(958\) | 3.30507 | − | 3.30507i | 0.106782 | − | 0.106782i | ||||
\(959\) | −45.3100 | −1.46314 | ||||||||
\(960\) | 4.53592 | + | 3.50482i | 0.146396 | + | 0.113118i | ||||
\(961\) | 15.3867i | 0.496346i | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 22.8178 | − | 22.8178i | 0.735294 | − | 0.735294i | ||||
\(964\) | −3.84803 | + | 3.84803i | −0.123937 | + | 0.123937i | ||||
\(965\) | 22.4041 | − | 2.87298i | 0.721214 | − | 0.0924846i | ||||
\(966\) | − | 2.31189i | − | 0.0743839i | ||||||
\(967\) | 8.78782i | 0.282597i | 0.989967 | + | 0.141299i | \(0.0451278\pi\) | ||||
−0.989967 | + | 0.141299i | \(0.954872\pi\) | |||||||
\(968\) | −19.5291 | −0.627688 | ||||||||
\(969\) | 8.64837 | + | 8.64837i | 0.277826 | + | 0.277826i | ||||
\(970\) | 0.993666 | + | 7.74880i | 0.0319047 | + | 0.248799i | ||||
\(971\) | −5.43386 | −0.174381 | −0.0871905 | − | 0.996192i | \(-0.527789\pi\) | ||||
−0.0871905 | + | 0.996192i | \(0.527789\pi\) | |||||||
\(972\) | 20.0495 | − | 20.0495i | 0.643089 | − | 0.643089i | ||||
\(973\) | − | 23.5289i | − | 0.754302i | ||||||
\(974\) | −3.04192 | −0.0974695 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 16.0894 | 0.515010 | ||||||||
\(977\) | − | 18.6725i | − | 0.597387i | −0.954349 | − | 0.298693i | \(-0.903449\pi\) | ||
0.954349 | − | 0.298693i | \(-0.0965508\pi\) | |||||||
\(978\) | −0.0433421 | + | 0.0433421i | −0.00138593 | + | 0.00138593i | ||||
\(979\) | 2.32277 | 0.0742360 | ||||||||
\(980\) | −3.25101 | − | 25.3521i | −0.103850 | − | 0.809842i | ||||
\(981\) | 4.77930 | + | 4.77930i | 0.152591 | + | 0.152591i | ||||
\(982\) | 7.31648 | 0.233478 | ||||||||
\(983\) | − | 6.62470i | − | 0.211295i | −0.994404 | − | 0.105648i | \(-0.966308\pi\) | ||
0.994404 | − | 0.105648i | \(-0.0336915\pi\) | |||||||
\(984\) | − | 0.966238i | − | 0.0308025i | ||||||
\(985\) | 28.9746 | − | 3.71555i | 0.923207 | − | 0.118387i | ||||
\(986\) | 7.89159 | − | 7.89159i | 0.251319 | − | 0.251319i | ||||
\(987\) | −9.30986 | + | 9.30986i | −0.296336 | + | 0.296336i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 2.93424i | 0.0933033i | ||||||||
\(990\) | −1.27147 | − | 0.982439i | −0.0404099 | − | 0.0312240i | ||||
\(991\) | −43.2271 | −1.37315 | −0.686576 | − | 0.727058i | \(-0.740887\pi\) | ||||
−0.686576 | + | 0.727058i | \(0.740887\pi\) | |||||||
\(992\) | −24.0429 | + | 24.0429i | −0.763364 | + | 0.763364i | ||||
\(993\) | 6.59853 | 0.209398 | ||||||||
\(994\) | −8.60489 | + | 8.60489i | −0.272931 | + | 0.272931i | ||||
\(995\) | −2.23267 | − | 17.4108i | −0.0707805 | − | 0.551960i | ||||
\(996\) | −2.49794 | + | 2.49794i | −0.0791504 | + | 0.0791504i | ||||
\(997\) | 31.9653 | + | 31.9653i | 1.01235 | + | 1.01235i | 0.999923 | + | 0.0124293i | \(0.00395647\pi\) |
0.0124293 | + | 0.999923i | \(0.496044\pi\) | |||||||
\(998\) | 10.3981 | + | 10.3981i | 0.329146 | + | 0.329146i | ||||
\(999\) | −6.24292 | − | 6.24292i | −0.197517 | − | 0.197517i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))