Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [700,2,Mod(699,700)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(700, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("700.699");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 700 = 2^{2} \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 700.c (of order \(2\), degree \(1\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.58952814149\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Coefficient field: | 8.0.342102016.5 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} + x^{6} + 4x^{4} + 4x^{2} + 16 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{2} \) |
Twist minimal: | no (minimal twist has level 140) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 699.4 | ||
Root | \(-0.599676 - 1.28078i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 700.699 |
Dual form | 700.2.c.i.699.3 |
$q$-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 \(\left(\mathbb{Z}/700\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(351\) | \(477\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.599676 | + | 1.28078i | −0.424035 | + | 0.905646i | ||||
\(3\) | − | 0.936426i | − | 0.540646i | −0.962770 | − | 0.270323i | \(-0.912870\pi\) | ||
0.962770 | − | 0.270323i | \(-0.0871305\pi\) | |||||||
\(4\) | −1.28078 | − | 1.53610i | −0.640388 | − | 0.768051i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 1.19935 | + | 0.561553i | 0.489634 | + | 0.229253i | ||||
\(7\) | 0.468213 | − | 2.60399i | 0.176968 | − | 0.984217i | ||||
\(8\) | 2.73546 | − | 0.719224i | 0.967130 | − | 0.254284i | ||||
\(9\) | 2.12311 | 0.707702 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | − | 2.39871i | − | 0.723237i | −0.932326 | − | 0.361618i | \(-0.882224\pi\) | ||
0.932326 | − | 0.361618i | \(-0.117776\pi\) | |||||||
\(12\) | −1.43845 | + | 1.19935i | −0.415244 | + | 0.346223i | ||||
\(13\) | −2.00000 | −0.554700 | −0.277350 | − | 0.960769i | \(-0.589456\pi\) | ||||
−0.277350 | + | 0.960769i | \(0.589456\pi\) | |||||||
\(14\) | 3.05436 | + | 2.16123i | 0.816311 | + | 0.577613i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.719224 | + | 3.93481i | −0.179806 | + | 0.983702i | ||||
\(17\) | −7.12311 | −1.72761 | −0.863803 | − | 0.503829i | \(-0.831924\pi\) | ||||
−0.863803 | + | 0.503829i | \(0.831924\pi\) | |||||||
\(18\) | −1.27318 | + | 2.71922i | −0.300091 | + | 0.640927i | ||||
\(19\) | −2.39871 | −0.550301 | −0.275150 | − | 0.961401i | \(-0.588728\pi\) | ||||
−0.275150 | + | 0.961401i | \(0.588728\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −2.43845 | − | 0.438447i | −0.532113 | − | 0.0956770i | ||||
\(22\) | 3.07221 | + | 1.43845i | 0.654996 | + | 0.306678i | ||||
\(23\) | −5.73384 | −1.19559 | −0.597794 | − | 0.801650i | \(-0.703956\pi\) | ||||
−0.597794 | + | 0.801650i | \(0.703956\pi\) | |||||||
\(24\) | −0.673500 | − | 2.56155i | −0.137478 | − | 0.522875i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 1.19935 | − | 2.56155i | 0.235212 | − | 0.502362i | ||||
\(27\) | − | 4.79741i | − | 0.923262i | ||||||
\(28\) | −4.59968 | + | 2.61591i | −0.869257 | + | 0.494360i | ||||
\(29\) | 2.00000 | 0.371391 | 0.185695 | − | 0.982607i | \(-0.440546\pi\) | ||||
0.185695 | + | 0.982607i | \(0.440546\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 6.67026 | 1.19801 | 0.599007 | − | 0.800743i | \(-0.295562\pi\) | ||||
0.599007 | + | 0.800743i | \(0.295562\pi\) | |||||||
\(32\) | −4.60831 | − | 3.28078i | −0.814642 | − | 0.579965i | ||||
\(33\) | −2.24621 | −0.391015 | ||||||||
\(34\) | 4.27156 | − | 9.12311i | 0.732566 | − | 1.56460i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −2.71922 | − | 3.26131i | −0.453204 | − | 0.543551i | ||||
\(37\) | 2.00000i | 0.328798i | 0.986394 | + | 0.164399i | \(0.0525685\pi\) | ||||
−0.986394 | + | 0.164399i | \(0.947432\pi\) | |||||||
\(38\) | 1.43845 | − | 3.07221i | 0.233347 | − | 0.498378i | ||||
\(39\) | 1.87285i | 0.299896i | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | − | 7.12311i | − | 1.11244i | −0.831034 | − | 0.556221i | \(-0.812251\pi\) | ||
0.831034 | − | 0.556221i | \(-0.187749\pi\) | |||||||
\(42\) | 2.02383 | − | 2.86018i | 0.312284 | − | 0.441335i | ||||
\(43\) | 7.60669 | 1.16001 | 0.580005 | − | 0.814613i | \(-0.303051\pi\) | ||||
0.580005 | + | 0.814613i | \(0.303051\pi\) | |||||||
\(44\) | −3.68466 | + | 3.07221i | −0.555483 | + | 0.463152i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 3.43845 | − | 7.34376i | 0.506971 | − | 1.08278i | ||||
\(47\) | − | 10.0054i | − | 1.45944i | −0.683748 | − | 0.729719i | \(-0.739651\pi\) | ||
0.683748 | − | 0.729719i | \(-0.260349\pi\) | |||||||
\(48\) | 3.68466 | + | 0.673500i | 0.531835 | + | 0.0972113i | ||||
\(49\) | −6.56155 | − | 2.43845i | −0.937365 | − | 0.348350i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 6.67026i | 0.934024i | ||||||||
\(52\) | 2.56155 | + | 3.07221i | 0.355223 | + | 0.426038i | ||||
\(53\) | − | 2.00000i | − | 0.274721i | −0.990521 | − | 0.137361i | \(-0.956138\pi\) | ||
0.990521 | − | 0.137361i | \(-0.0438619\pi\) | |||||||
\(54\) | 6.14441 | + | 2.87689i | 0.836148 | + | 0.391496i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −0.592076 | − | 7.45986i | −0.0791195 | − | 0.996865i | ||||
\(57\) | 2.24621i | 0.297518i | ||||||||
\(58\) | −1.19935 | + | 2.56155i | −0.157483 | + | 0.336348i | ||||
\(59\) | −10.9418 | −1.42450 | −0.712252 | − | 0.701924i | \(-0.752325\pi\) | ||||
−0.712252 | + | 0.701924i | \(0.752325\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | − | 2.00000i | − | 0.256074i | −0.991769 | − | 0.128037i | \(-0.959132\pi\) | ||
0.991769 | − | 0.128037i | \(-0.0408676\pi\) | |||||||
\(62\) | −4.00000 | + | 8.54312i | −0.508001 | + | 1.08498i | ||||
\(63\) | 0.994066 | − | 5.52855i | 0.125241 | − | 0.696532i | ||||
\(64\) | 6.96543 | − | 3.93481i | 0.870679 | − | 0.491851i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 1.34700 | − | 2.87689i | 0.165804 | − | 0.354121i | ||||
\(67\) | −14.2770 | −1.74421 | −0.872104 | − | 0.489321i | \(-0.837245\pi\) | ||||
−0.872104 | + | 0.489321i | \(0.837245\pi\) | |||||||
\(68\) | 9.12311 | + | 10.9418i | 1.10634 | + | 1.32689i | ||||
\(69\) | 5.36932i | 0.646390i | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | − | 6.14441i | − | 0.729207i | −0.931163 | − | 0.364604i | \(-0.881204\pi\) | ||
0.931163 | − | 0.364604i | \(-0.118796\pi\) | |||||||
\(72\) | 5.80766 | − | 1.52699i | 0.684439 | − | 0.179957i | ||||
\(73\) | 9.36932 | 1.09660 | 0.548298 | − | 0.836283i | \(-0.315276\pi\) | ||||
0.548298 | + | 0.836283i | \(0.315276\pi\) | |||||||
\(74\) | −2.56155 | − | 1.19935i | −0.297774 | − | 0.139422i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 3.07221 | + | 3.68466i | 0.352406 | + | 0.422659i | ||||
\(77\) | −6.24621 | − | 1.12311i | −0.711822 | − | 0.127990i | ||||
\(78\) | −2.39871 | − | 1.12311i | −0.271600 | − | 0.127167i | ||||
\(79\) | − | 4.27156i | − | 0.480588i | −0.970700 | − | 0.240294i | \(-0.922756\pi\) | ||
0.970700 | − | 0.240294i | \(-0.0772438\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 1.87689 | 0.208544 | ||||||||
\(82\) | 9.12311 | + | 4.27156i | 1.00748 | + | 0.471715i | ||||
\(83\) | − | 0.936426i | − | 0.102786i | −0.998679 | − | 0.0513931i | \(-0.983634\pi\) | ||
0.998679 | − | 0.0513931i | \(-0.0163661\pi\) | |||||||
\(84\) | 2.44961 | + | 4.30726i | 0.267274 | + | 0.469960i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −4.56155 | + | 9.74247i | −0.491885 | + | 1.05056i | ||||
\(87\) | − | 1.87285i | − | 0.200791i | ||||||
\(88\) | −1.72521 | − | 6.56155i | −0.183908 | − | 0.699464i | ||||
\(89\) | 12.0000i | 1.27200i | 0.771690 | + | 0.635999i | \(0.219412\pi\) | ||||
−0.771690 | + | 0.635999i | \(0.780588\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.936426 | + | 5.20798i | −0.0981642 | + | 0.545945i | ||||
\(92\) | 7.34376 | + | 8.80776i | 0.765640 | + | 0.918273i | ||||
\(93\) | − | 6.24621i | − | 0.647702i | ||||||
\(94\) | 12.8147 | + | 6.00000i | 1.32173 | + | 0.618853i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −3.07221 | + | 4.31534i | −0.313556 | + | 0.440433i | ||||
\(97\) | 7.12311 | 0.723242 | 0.361621 | − | 0.932325i | \(-0.382223\pi\) | ||||
0.361621 | + | 0.932325i | \(0.382223\pi\) | |||||||
\(98\) | 7.05791 | − | 6.94160i | 0.712957 | − | 0.701208i | ||||
\(99\) | − | 5.09271i | − | 0.511836i | ||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 6.87689i | 0.684277i | 0.939650 | + | 0.342138i | \(0.111151\pi\) | ||||
−0.939650 | + | 0.342138i | \(0.888849\pi\) | |||||||
\(102\) | −8.54312 | − | 4.00000i | −0.845895 | − | 0.396059i | ||||
\(103\) | − | 1.46228i | − | 0.144083i | −0.997402 | − | 0.0720413i | \(-0.977049\pi\) | ||
0.997402 | − | 0.0720413i | \(-0.0229513\pi\) | |||||||
\(104\) | −5.47091 | + | 1.43845i | −0.536467 | + | 0.141051i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 2.56155 | + | 1.19935i | 0.248800 | + | 0.116491i | ||||
\(107\) | 9.47954 | 0.916422 | 0.458211 | − | 0.888843i | \(-0.348490\pi\) | ||||
0.458211 | + | 0.888843i | \(0.348490\pi\) | |||||||
\(108\) | −7.36932 | + | 6.14441i | −0.709113 | + | 0.591246i | ||||
\(109\) | −1.12311 | −0.107574 | −0.0537870 | − | 0.998552i | \(-0.517129\pi\) | ||||
−0.0537870 | + | 0.998552i | \(0.517129\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 1.87285 | 0.177763 | ||||||||
\(112\) | 9.90946 | + | 3.71518i | 0.936356 | + | 0.351052i | ||||
\(113\) | 14.4924i | 1.36333i | 0.731663 | + | 0.681666i | \(0.238744\pi\) | ||||
−0.731663 | + | 0.681666i | \(0.761256\pi\) | |||||||
\(114\) | −2.87689 | − | 1.34700i | −0.269446 | − | 0.126158i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −2.56155 | − | 3.07221i | −0.237834 | − | 0.285247i | ||||
\(117\) | −4.24621 | −0.392562 | ||||||||
\(118\) | 6.56155 | − | 14.0140i | 0.604040 | − | 1.29010i | ||||
\(119\) | −3.33513 | + | 18.5485i | −0.305731 | + | 1.70034i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 5.24621 | 0.476928 | ||||||||
\(122\) | 2.56155 | + | 1.19935i | 0.231912 | + | 0.108584i | ||||
\(123\) | −6.67026 | −0.601437 | ||||||||
\(124\) | −8.54312 | − | 10.2462i | −0.767195 | − | 0.920137i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 6.48472 | + | 4.58852i | 0.577705 | + | 0.408778i | ||||
\(127\) | 13.2252 | 1.17355 | 0.586776 | − | 0.809750i | \(-0.300397\pi\) | ||||
0.586776 | + | 0.809750i | \(0.300397\pi\) | |||||||
\(128\) | 0.862603 | + | 11.2808i | 0.0762440 | + | 0.997089i | ||||
\(129\) | − | 7.12311i | − | 0.627154i | ||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −13.8664 | −1.21151 | −0.605756 | − | 0.795651i | \(-0.707129\pi\) | ||||
−0.605756 | + | 0.795651i | \(0.707129\pi\) | |||||||
\(132\) | 2.87689 | + | 3.45041i | 0.250402 | + | 0.300320i | ||||
\(133\) | −1.12311 | + | 6.24621i | −0.0973856 | + | 0.541615i | ||||
\(134\) | 8.56155 | − | 18.2856i | 0.739606 | − | 1.57963i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −19.4849 | + | 5.12311i | −1.67082 | + | 0.439303i | ||||
\(137\) | − | 14.0000i | − | 1.19610i | −0.801459 | − | 0.598050i | \(-0.795942\pi\) | ||
0.801459 | − | 0.598050i | \(-0.204058\pi\) | |||||||
\(138\) | −6.87689 | − | 3.21985i | −0.585400 | − | 0.274092i | ||||
\(139\) | −1.34700 | −0.114251 | −0.0571255 | − | 0.998367i | \(-0.518194\pi\) | ||||
−0.0571255 | + | 0.998367i | \(0.518194\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −9.36932 | −0.789039 | ||||||||
\(142\) | 7.86962 | + | 3.68466i | 0.660404 | + | 0.309210i | ||||
\(143\) | 4.79741i | 0.401180i | ||||||||
\(144\) | −1.52699 | + | 8.35401i | −0.127249 | + | 0.696168i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −5.61856 | + | 12.0000i | −0.464995 | + | 0.993127i | ||||
\(147\) | −2.28343 | + | 6.14441i | −0.188334 | + | 0.506782i | ||||
\(148\) | 3.07221 | − | 2.56155i | 0.252534 | − | 0.210558i | ||||
\(149\) | 19.3693 | 1.58680 | 0.793398 | − | 0.608703i | \(-0.208310\pi\) | ||||
0.793398 | + | 0.608703i | \(0.208310\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | − | 14.6875i | − | 1.19525i | −0.801774 | − | 0.597627i | \(-0.796110\pi\) | ||
0.801774 | − | 0.597627i | \(-0.203890\pi\) | |||||||
\(152\) | −6.56155 | + | 1.72521i | −0.532212 | + | 0.139933i | ||||
\(153\) | −15.1231 | −1.22263 | ||||||||
\(154\) | 5.18415 | − | 7.32650i | 0.417751 | − | 0.590386i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 2.87689 | − | 2.39871i | 0.230336 | − | 0.192050i | ||||
\(157\) | 16.2462 | 1.29659 | 0.648294 | − | 0.761390i | \(-0.275483\pi\) | ||||
0.648294 | + | 0.761390i | \(0.275483\pi\) | |||||||
\(158\) | 5.47091 | + | 2.56155i | 0.435242 | + | 0.203786i | ||||
\(159\) | −1.87285 | −0.148527 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −2.68466 | + | 14.9309i | −0.211581 | + | 1.17672i | ||||
\(162\) | −1.12553 | + | 2.40388i | −0.0884299 | + | 0.188867i | ||||
\(163\) | 0.936426 | 0.0733466 | 0.0366733 | − | 0.999327i | \(-0.488324\pi\) | ||||
0.0366733 | + | 0.999327i | \(0.488324\pi\) | |||||||
\(164\) | −10.9418 | + | 9.12311i | −0.854413 | + | 0.712395i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 1.19935 | + | 0.561553i | 0.0930878 | + | 0.0435850i | ||||
\(167\) | − | 2.28343i | − | 0.176697i | −0.996090 | − | 0.0883484i | \(-0.971841\pi\) | ||
0.996090 | − | 0.0883484i | \(-0.0281589\pi\) | |||||||
\(168\) | −6.98561 | + | 0.554436i | −0.538951 | + | 0.0427757i | ||||
\(169\) | −9.00000 | −0.692308 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −5.09271 | −0.389449 | ||||||||
\(172\) | −9.74247 | − | 11.6847i | −0.742856 | − | 0.890947i | ||||
\(173\) | −0.246211 | −0.0187191 | −0.00935955 | − | 0.999956i | \(-0.502979\pi\) | ||||
−0.00935955 | + | 0.999956i | \(0.502979\pi\) | |||||||
\(174\) | 2.39871 | + | 1.12311i | 0.181845 | + | 0.0851424i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 9.43845 | + | 1.72521i | 0.711450 | + | 0.130042i | ||||
\(177\) | 10.2462i | 0.770152i | ||||||||
\(178\) | −15.3693 | − | 7.19612i | −1.15198 | − | 0.539372i | ||||
\(179\) | − | 0.525853i | − | 0.0393041i | −0.999807 | − | 0.0196520i | \(-0.993744\pi\) | ||
0.999807 | − | 0.0196520i | \(-0.00625584\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 6.87689i | 0.511156i | 0.966789 | + | 0.255578i | \(0.0822657\pi\) | ||||
−0.966789 | + | 0.255578i | \(0.917734\pi\) | |||||||
\(182\) | −6.10871 | − | 4.32246i | −0.452808 | − | 0.320402i | ||||
\(183\) | −1.87285 | −0.138445 | ||||||||
\(184\) | −15.6847 | + | 4.12391i | −1.15629 | + | 0.304019i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 8.00000 | + | 3.74571i | 0.586588 | + | 0.274648i | ||||
\(187\) | 17.0862i | 1.24947i | ||||||||
\(188\) | −15.3693 | + | 12.8147i | −1.12092 | + | 0.934606i | ||||
\(189\) | −12.4924 | − | 2.24621i | −0.908690 | − | 0.163388i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 1.34700i | 0.0974655i | 0.998812 | + | 0.0487327i | \(0.0155183\pi\) | ||||
−0.998812 | + | 0.0487327i | \(0.984482\pi\) | |||||||
\(192\) | −3.68466 | − | 6.52262i | −0.265917 | − | 0.470729i | ||||
\(193\) | − | 10.4924i | − | 0.755261i | −0.925956 | − | 0.377631i | \(-0.876739\pi\) | ||
0.925956 | − | 0.377631i | \(-0.123261\pi\) | |||||||
\(194\) | −4.27156 | + | 9.12311i | −0.306680 | + | 0.655001i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 4.65818 | + | 13.2023i | 0.332727 | + | 0.943023i | ||||
\(197\) | 18.0000i | 1.28245i | 0.767354 | + | 0.641223i | \(0.221573\pi\) | ||||
−0.767354 | + | 0.641223i | \(0.778427\pi\) | |||||||
\(198\) | 6.52262 | + | 3.05398i | 0.463542 | + | 0.217037i | ||||
\(199\) | 16.0345 | 1.13666 | 0.568329 | − | 0.822802i | \(-0.307590\pi\) | ||||
0.568329 | + | 0.822802i | \(0.307590\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 13.3693i | 0.942999i | ||||||||
\(202\) | −8.80776 | − | 4.12391i | −0.619712 | − | 0.290157i | ||||
\(203\) | 0.936426 | − | 5.20798i | 0.0657242 | − | 0.365529i | ||||
\(204\) | 10.2462 | − | 8.54312i | 0.717378 | − | 0.598138i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 1.87285 | + | 0.876894i | 0.130488 | + | 0.0610961i | ||||
\(207\) | −12.1735 | −0.846120 | ||||||||
\(208\) | 1.43845 | − | 7.86962i | 0.0997384 | − | 0.545660i | ||||
\(209\) | 5.75379i | 0.397998i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 18.4332i | 1.26900i | 0.772924 | + | 0.634498i | \(0.218793\pi\) | ||||
−0.772924 | + | 0.634498i | \(0.781207\pi\) | |||||||
\(212\) | −3.07221 | + | 2.56155i | −0.211000 | + | 0.175928i | ||||
\(213\) | −5.75379 | −0.394243 | ||||||||
\(214\) | −5.68466 | + | 12.1412i | −0.388595 | + | 0.829954i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −3.45041 | − | 13.1231i | −0.234771 | − | 0.892914i | ||||
\(217\) | 3.12311 | − | 17.3693i | 0.212010 | − | 1.17911i | ||||
\(218\) | 0.673500 | − | 1.43845i | 0.0456152 | − | 0.0974239i | ||||
\(219\) | − | 8.77368i | − | 0.592870i | ||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 14.2462 | 0.958304 | ||||||||
\(222\) | −1.12311 | + | 2.39871i | −0.0753779 | + | 0.160991i | ||||
\(223\) | 12.9300i | 0.865854i | 0.901429 | + | 0.432927i | \(0.142519\pi\) | ||||
−0.901429 | + | 0.432927i | \(0.857481\pi\) | |||||||
\(224\) | −10.7008 | + | 10.4639i | −0.714976 | + | 0.699149i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −18.5616 | − | 8.69076i | −1.23470 | − | 0.578101i | ||||
\(227\) | 14.2770i | 0.947595i | 0.880634 | + | 0.473797i | \(0.157117\pi\) | ||||
−0.880634 | + | 0.473797i | \(0.842883\pi\) | |||||||
\(228\) | 3.45041 | − | 2.87689i | 0.228509 | − | 0.190527i | ||||
\(229\) | − | 21.1231i | − | 1.39585i | −0.716169 | − | 0.697927i | \(-0.754106\pi\) | ||
0.716169 | − | 0.697927i | \(-0.245894\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −1.05171 | + | 5.84912i | −0.0691972 | + | 0.384844i | ||||
\(232\) | 5.47091 | − | 1.43845i | 0.359183 | − | 0.0944387i | ||||
\(233\) | − | 24.2462i | − | 1.58842i | −0.607642 | − | 0.794211i | \(-0.707884\pi\) | ||
0.607642 | − | 0.794211i | \(-0.292116\pi\) | |||||||
\(234\) | 2.54635 | − | 5.43845i | 0.166460 | − | 0.355522i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 14.0140 | + | 16.8078i | 0.912236 | + | 1.09409i | ||||
\(237\) | −4.00000 | −0.259828 | ||||||||
\(238\) | −21.7565 | − | 15.3947i | −1.41026 | − | 0.997888i | ||||
\(239\) | − | 12.8147i | − | 0.828912i | −0.910069 | − | 0.414456i | \(-0.863972\pi\) | ||
0.910069 | − | 0.414456i | \(-0.136028\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | − | 15.6155i | − | 1.00588i | −0.864320 | − | 0.502942i | \(-0.832251\pi\) | ||
0.864320 | − | 0.502942i | \(-0.167749\pi\) | |||||||
\(242\) | −3.14603 | + | 6.71922i | −0.202234 | + | 0.431928i | ||||
\(243\) | − | 16.1498i | − | 1.03601i | ||||||
\(244\) | −3.07221 | + | 2.56155i | −0.196678 | + | 0.163987i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 4.00000 | − | 8.54312i | 0.255031 | − | 0.544689i | ||||
\(247\) | 4.79741 | 0.305252 | ||||||||
\(248\) | 18.2462 | − | 4.79741i | 1.15864 | − | 0.304636i | ||||
\(249\) | −0.876894 | −0.0555709 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −16.5604 | −1.04528 | −0.522641 | − | 0.852553i | \(-0.675053\pi\) | ||||
−0.522641 | + | 0.852553i | \(0.675053\pi\) | |||||||
\(252\) | −9.76560 | + | 5.55385i | −0.615175 | + | 0.349860i | ||||
\(253\) | 13.7538i | 0.864693i | ||||||||
\(254\) | −7.93087 | + | 16.9386i | −0.497627 | + | 1.06282i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −14.9654 | − | 5.66001i | −0.935340 | − | 0.353751i | ||||
\(257\) | 13.3693 | 0.833955 | 0.416978 | − | 0.908917i | \(-0.363089\pi\) | ||||
0.416978 | + | 0.908917i | \(0.363089\pi\) | |||||||
\(258\) | 9.12311 | + | 4.27156i | 0.567980 | + | 0.265936i | ||||
\(259\) | 5.20798 | + | 0.936426i | 0.323608 | + | 0.0581867i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 4.24621 | 0.262834 | ||||||||
\(262\) | 8.31534 | − | 17.7597i | 0.513724 | − | 1.09720i | ||||
\(263\) | 1.98813 | 0.122593 | 0.0612967 | − | 0.998120i | \(-0.480476\pi\) | ||||
0.0612967 | + | 0.998120i | \(0.480476\pi\) | |||||||
\(264\) | −6.14441 | + | 1.61553i | −0.378162 | + | 0.0994289i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −7.32650 | − | 5.18415i | −0.449217 | − | 0.317861i | ||||
\(267\) | 11.2371 | 0.687700 | ||||||||
\(268\) | 18.2856 | + | 21.9309i | 1.11697 | + | 1.33964i | ||||
\(269\) | 16.2462i | 0.990549i | 0.868737 | + | 0.495274i | \(0.164933\pi\) | ||||
−0.868737 | + | 0.495274i | \(0.835067\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 23.7565 | 1.44310 | 0.721552 | − | 0.692360i | \(-0.243429\pi\) | ||||
0.721552 | + | 0.692360i | \(0.243429\pi\) | |||||||
\(272\) | 5.12311 | − | 28.0281i | 0.310634 | − | 1.69945i | ||||
\(273\) | 4.87689 | + | 0.876894i | 0.295163 | + | 0.0530721i | ||||
\(274\) | 17.9309 | + | 8.39547i | 1.08324 | + | 0.507189i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 8.24782 | − | 6.87689i | 0.496461 | − | 0.413940i | ||||
\(277\) | − | 4.24621i | − | 0.255130i | −0.991830 | − | 0.127565i | \(-0.959284\pi\) | ||
0.991830 | − | 0.127565i | \(-0.0407162\pi\) | |||||||
\(278\) | 0.807764 | − | 1.72521i | 0.0484465 | − | 0.103471i | ||||
\(279\) | 14.1617 | 0.847837 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −4.63068 | −0.276243 | −0.138122 | − | 0.990415i | \(-0.544107\pi\) | ||||
−0.138122 | + | 0.990415i | \(0.544107\pi\) | |||||||
\(282\) | 5.61856 | − | 12.0000i | 0.334580 | − | 0.714590i | ||||
\(283\) | 24.6929i | 1.46784i | 0.679235 | + | 0.733921i | \(0.262312\pi\) | ||||
−0.679235 | + | 0.733921i | \(0.737688\pi\) | |||||||
\(284\) | −9.43845 | + | 7.86962i | −0.560069 | + | 0.466976i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −6.14441 | − | 2.87689i | −0.363327 | − | 0.170114i | ||||
\(287\) | −18.5485 | − | 3.33513i | −1.09488 | − | 0.196867i | ||||
\(288\) | −9.78393 | − | 6.96543i | −0.576523 | − | 0.410442i | ||||
\(289\) | 33.7386 | 1.98463 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | − | 6.67026i | − | 0.391018i | ||||||
\(292\) | −12.0000 | − | 14.3922i | −0.702247 | − | 0.842242i | ||||
\(293\) | 32.2462 | 1.88384 | 0.941922 | − | 0.335832i | \(-0.109017\pi\) | ||||
0.941922 | + | 0.335832i | \(0.109017\pi\) | |||||||
\(294\) | −6.50030 | − | 6.60922i | −0.379105 | − | 0.385457i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 1.43845 | + | 5.47091i | 0.0836080 | + | 0.317990i | ||||
\(297\) | −11.5076 | −0.667737 | ||||||||
\(298\) | −11.6153 | + | 24.8078i | −0.672858 | + | 1.43708i | ||||
\(299\) | 11.4677 | 0.663193 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 3.56155 | − | 19.8078i | 0.205284 | − | 1.14170i | ||||
\(302\) | 18.8114 | + | 8.80776i | 1.08248 | + | 0.506830i | ||||
\(303\) | 6.43971 | 0.369951 | ||||||||
\(304\) | 1.72521 | − | 9.43845i | 0.0989473 | − | 0.541332i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 9.06897 | − | 19.3693i | 0.518438 | − | 1.10727i | ||||
\(307\) | 31.3632i | 1.78999i | 0.446074 | + | 0.894996i | \(0.352822\pi\) | ||||
−0.446074 | + | 0.894996i | \(0.647178\pi\) | |||||||
\(308\) | 6.27479 | + | 11.0333i | 0.357540 | + | 0.628679i | ||||
\(309\) | −1.36932 | −0.0778977 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 9.36426 | 0.530999 | 0.265499 | − | 0.964111i | \(-0.414463\pi\) | ||||
0.265499 | + | 0.964111i | \(0.414463\pi\) | |||||||
\(312\) | 1.34700 | + | 5.12311i | 0.0762589 | + | 0.290039i | ||||
\(313\) | 7.61553 | 0.430455 | 0.215228 | − | 0.976564i | \(-0.430951\pi\) | ||||
0.215228 | + | 0.976564i | \(0.430951\pi\) | |||||||
\(314\) | −9.74247 | + | 20.8078i | −0.549799 | + | 1.17425i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −6.56155 | + | 5.47091i | −0.369116 | + | 0.307763i | ||||
\(317\) | − | 4.24621i | − | 0.238491i | −0.992865 | − | 0.119245i | \(-0.961952\pi\) | ||
0.992865 | − | 0.119245i | \(-0.0380476\pi\) | |||||||
\(318\) | 1.12311 | − | 2.39871i | 0.0629806 | − | 0.134513i | ||||
\(319\) | − | 4.79741i | − | 0.268603i | ||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | − | 8.87689i | − | 0.495460i | ||||||
\(322\) | −17.5132 | − | 12.3921i | −0.975971 | − | 0.690587i | ||||
\(323\) | 17.0862 | 0.950703 | ||||||||
\(324\) | −2.40388 | − | 2.88310i | −0.133549 | − | 0.160172i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −0.561553 | + | 1.19935i | −0.0311015 | + | 0.0664260i | ||||
\(327\) | 1.05171i | 0.0581595i | ||||||||
\(328\) | −5.12311 | − | 19.4849i | −0.282876 | − | 1.07588i | ||||
\(329\) | −26.0540 | − | 4.68466i | −1.43640 | − | 0.258274i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | − | 29.0798i | − | 1.59837i | −0.601086 | − | 0.799184i | \(-0.705265\pi\) | ||
0.601086 | − | 0.799184i | \(-0.294735\pi\) | |||||||
\(332\) | −1.43845 | + | 1.19935i | −0.0789450 | + | 0.0658230i | ||||
\(333\) | 4.24621i | 0.232691i | ||||||||
\(334\) | 2.92456 | + | 1.36932i | 0.160025 | + | 0.0749257i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 3.47899 | − | 9.27948i | 0.189795 | − | 0.506237i | ||||
\(337\) | 4.24621i | 0.231306i | 0.993290 | + | 0.115653i | \(0.0368960\pi\) | ||||
−0.993290 | + | 0.115653i | \(0.963104\pi\) | |||||||
\(338\) | 5.39709 | − | 11.5270i | 0.293563 | − | 0.626985i | ||||
\(339\) | 13.5711 | 0.737080 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | − | 16.0000i | − | 0.866449i | ||||||
\(342\) | 3.05398 | − | 6.52262i | 0.165140 | − | 0.352703i | ||||
\(343\) | −9.42190 | + | 15.9445i | −0.508735 | + | 0.860923i | ||||
\(344\) | 20.8078 | − | 5.47091i | 1.12188 | − | 0.294972i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0.147647 | − | 0.315342i | 0.00793756 | − | 0.0169529i | ||||
\(347\) | 9.47954 | 0.508889 | 0.254444 | − | 0.967087i | \(-0.418107\pi\) | ||||
0.254444 | + | 0.967087i | \(0.418107\pi\) | |||||||
\(348\) | −2.87689 | + | 2.39871i | −0.154218 | + | 0.128584i | ||||
\(349\) | − | 27.8617i | − | 1.49140i | −0.666279 | − | 0.745702i | \(-0.732114\pi\) | ||
0.666279 | − | 0.745702i | \(-0.267886\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 9.59482i | 0.512134i | ||||||||
\(352\) | −7.86962 | + | 11.0540i | −0.419452 | + | 0.589179i | ||||
\(353\) | −5.36932 | −0.285780 | −0.142890 | − | 0.989739i | \(-0.545639\pi\) | ||||
−0.142890 | + | 0.989739i | \(0.545639\pi\) | |||||||
\(354\) | −13.1231 | − | 6.14441i | −0.697485 | − | 0.326572i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 18.4332 | − | 15.3693i | 0.976959 | − | 0.814572i | ||||
\(357\) | 17.3693 | + | 3.12311i | 0.919282 | + | 0.165292i | ||||
\(358\) | 0.673500 | + | 0.315342i | 0.0355956 | + | 0.0166663i | ||||
\(359\) | − | 16.5604i | − | 0.874023i | −0.899456 | − | 0.437012i | \(-0.856037\pi\) | ||
0.899456 | − | 0.437012i | \(-0.143963\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −13.2462 | −0.697169 | ||||||||
\(362\) | −8.80776 | − | 4.12391i | −0.462926 | − | 0.216748i | ||||
\(363\) | − | 4.91269i | − | 0.257849i | ||||||
\(364\) | 9.19935 | − | 5.23182i | 0.482177 | − | 0.274222i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 1.12311 | − | 2.39871i | 0.0587057 | − | 0.125382i | ||||
\(367\) | − | 7.08084i | − | 0.369617i | −0.982775 | − | 0.184808i | \(-0.940834\pi\) | ||
0.982775 | − | 0.184808i | \(-0.0591664\pi\) | |||||||
\(368\) | 4.12391 | − | 22.5616i | 0.214974 | − | 1.17610i | ||||
\(369\) | − | 15.1231i | − | 0.787277i | ||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −5.20798 | − | 0.936426i | −0.270385 | − | 0.0486168i | ||||
\(372\) | −9.59482 | + | 8.00000i | −0.497468 | + | 0.414781i | ||||
\(373\) | − | 22.4924i | − | 1.16461i | −0.812969 | − | 0.582307i | \(-0.802150\pi\) | ||
0.812969 | − | 0.582307i | \(-0.197850\pi\) | |||||||
\(374\) | −21.8836 | − | 10.2462i | −1.13158 | − | 0.529819i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −7.19612 | − | 27.3693i | −0.371111 | − | 1.41146i | ||||
\(377\) | −4.00000 | −0.206010 | ||||||||
\(378\) | 10.3683 | − | 14.6530i | 0.533288 | − | 0.753669i | ||||
\(379\) | 22.4095i | 1.15110i | 0.817767 | + | 0.575549i | \(0.195212\pi\) | ||||
−0.817767 | + | 0.575549i | \(0.804788\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | − | 12.3845i | − | 0.634476i | ||||||
\(382\) | −1.72521 | − | 0.807764i | −0.0882692 | − | 0.0413288i | ||||
\(383\) | 17.4968i | 0.894045i | 0.894523 | + | 0.447023i | \(0.147516\pi\) | ||||
−0.894523 | + | 0.447023i | \(0.852484\pi\) | |||||||
\(384\) | 10.5636 | − | 0.807764i | 0.539072 | − | 0.0412210i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 13.4384 | + | 6.29206i | 0.683999 | + | 0.320257i | ||||
\(387\) | 16.1498 | 0.820941 | ||||||||
\(388\) | −9.12311 | − | 10.9418i | −0.463156 | − | 0.555487i | ||||
\(389\) | −1.12311 | −0.0569437 | −0.0284719 | − | 0.999595i | \(-0.509064\pi\) | ||||
−0.0284719 | + | 0.999595i | \(0.509064\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 40.8427 | 2.06551 | ||||||||
\(392\) | −19.7026 | − | 1.95104i | −0.995133 | − | 0.0985424i | ||||
\(393\) | 12.9848i | 0.654999i | ||||||||
\(394\) | −23.0540 | − | 10.7942i | −1.16144 | − | 0.543803i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −7.82292 | + | 6.52262i | −0.393116 | + | 0.327774i | ||||
\(397\) | −14.0000 | −0.702640 | −0.351320 | − | 0.936255i | \(-0.614267\pi\) | ||||
−0.351320 | + | 0.936255i | \(0.614267\pi\) | |||||||
\(398\) | −9.61553 | + | 20.5366i | −0.481983 | + | 1.02941i | ||||
\(399\) | 5.84912 | + | 1.05171i | 0.292822 | + | 0.0526511i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 6.00000 | 0.299626 | 0.149813 | − | 0.988714i | \(-0.452133\pi\) | ||||
0.149813 | + | 0.988714i | \(0.452133\pi\) | |||||||
\(402\) | −17.1231 | − | 8.01726i | −0.854023 | − | 0.399865i | ||||
\(403\) | −13.3405 | −0.664539 | ||||||||
\(404\) | 10.5636 | − | 8.80776i | 0.525560 | − | 0.438203i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 6.10871 | + | 4.32246i | 0.303170 | + | 0.214520i | ||||
\(407\) | 4.79741 | 0.237799 | ||||||||
\(408\) | 4.79741 | + | 18.2462i | 0.237507 | + | 0.903322i | ||||
\(409\) | − | 8.87689i | − | 0.438934i | −0.975620 | − | 0.219467i | \(-0.929568\pi\) | ||
0.975620 | − | 0.219467i | \(-0.0704319\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −13.1100 | −0.646667 | ||||||||
\(412\) | −2.24621 | + | 1.87285i | −0.110663 | + | 0.0922688i | ||||
\(413\) | −5.12311 | + | 28.4924i | −0.252092 | + | 1.40202i | ||||
\(414\) | 7.30019 | − | 15.5916i | 0.358785 | − | 0.766285i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 9.21662 | + | 6.56155i | 0.451882 | + | 0.321707i | ||||
\(417\) | 1.26137i | 0.0617694i | ||||||||
\(418\) | −7.36932 | − | 3.45041i | −0.360445 | − | 0.168765i | ||||
\(419\) | −11.9935 | −0.585922 | −0.292961 | − | 0.956124i | \(-0.594641\pi\) | ||||
−0.292961 | + | 0.956124i | \(0.594641\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −17.6155 | −0.858528 | −0.429264 | − | 0.903179i | \(-0.641227\pi\) | ||||
−0.429264 | + | 0.903179i | \(0.641227\pi\) | |||||||
\(422\) | −23.6089 | − | 11.0540i | −1.14926 | − | 0.538099i | ||||
\(423\) | − | 21.2425i | − | 1.03285i | ||||||
\(424\) | −1.43845 | − | 5.47091i | −0.0698572 | − | 0.265691i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 3.45041 | − | 7.36932i | 0.167173 | − | 0.357045i | ||||
\(427\) | −5.20798 | − | 0.936426i | −0.252032 | − | 0.0453168i | ||||
\(428\) | −12.1412 | − | 14.5616i | −0.586866 | − | 0.703859i | ||||
\(429\) | 4.49242 | 0.216896 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 36.5712i | 1.76157i | 0.473515 | + | 0.880786i | \(0.342985\pi\) | ||||
−0.473515 | + | 0.880786i | \(0.657015\pi\) | |||||||
\(432\) | 18.8769 | + | 3.45041i | 0.908215 | + | 0.166008i | ||||
\(433\) | 11.6155 | 0.558207 | 0.279103 | − | 0.960261i | \(-0.409963\pi\) | ||||
0.279103 | + | 0.960261i | \(0.409963\pi\) | |||||||
\(434\) | 20.3734 | + | 14.4160i | 0.977953 | + | 0.691989i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 1.43845 | + | 1.72521i | 0.0688891 | + | 0.0826224i | ||||
\(437\) | 13.7538 | 0.657933 | ||||||||
\(438\) | 11.2371 | + | 5.26137i | 0.536930 | + | 0.251398i | ||||
\(439\) | 18.1379 | 0.865677 | 0.432838 | − | 0.901472i | \(-0.357512\pi\) | ||||
0.432838 | + | 0.901472i | \(0.357512\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −13.9309 | − | 5.17708i | −0.663375 | − | 0.246528i | ||||
\(442\) | −8.54312 | + | 18.2462i | −0.406355 | + | 0.867884i | ||||
\(443\) | −30.3115 | −1.44014 | −0.720071 | − | 0.693900i | \(-0.755891\pi\) | ||||
−0.720071 | + | 0.693900i | \(0.755891\pi\) | |||||||
\(444\) | −2.39871 | − | 2.87689i | −0.113838 | − | 0.136531i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −16.5604 | − | 7.75379i | −0.784157 | − | 0.367153i | ||||
\(447\) | − | 18.1379i | − | 0.857895i | ||||||
\(448\) | −6.98490 | − | 19.9803i | −0.330006 | − | 0.943979i | ||||
\(449\) | −25.6155 | −1.20887 | −0.604436 | − | 0.796654i | \(-0.706601\pi\) | ||||
−0.604436 | + | 0.796654i | \(0.706601\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −17.0862 | −0.804559 | ||||||||
\(452\) | 22.2619 | − | 18.5616i | 1.04711 | − | 0.873062i | ||||
\(453\) | −13.7538 | −0.646209 | ||||||||
\(454\) | −18.2856 | − | 8.56155i | −0.858185 | − | 0.401814i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 1.61553 | + | 6.14441i | 0.0756540 | + | 0.287738i | ||||
\(457\) | 6.00000i | 0.280668i | 0.990104 | + | 0.140334i | \(0.0448177\pi\) | ||||
−0.990104 | + | 0.140334i | \(0.955182\pi\) | |||||||
\(458\) | 27.0540 | + | 12.6670i | 1.26415 | + | 0.591891i | ||||
\(459\) | 34.1725i | 1.59503i | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 37.6155i | 1.75193i | 0.482375 | + | 0.875965i | \(0.339774\pi\) | ||||
−0.482375 | + | 0.875965i | \(0.660226\pi\) | |||||||
\(462\) | −6.86073 | − | 4.85458i | −0.319190 | − | 0.225855i | ||||
\(463\) | 21.9989 | 1.02238 | 0.511188 | − | 0.859469i | \(-0.329205\pi\) | ||||
0.511188 | + | 0.859469i | \(0.329205\pi\) | |||||||
\(464\) | −1.43845 | + | 7.86962i | −0.0667782 | + | 0.365338i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 31.0540 | + | 14.5399i | 1.43855 | + | 0.673547i | ||||
\(467\) | − | 1.98813i | − | 0.0919998i | −0.998941 | − | 0.0459999i | \(-0.985353\pi\) | ||
0.998941 | − | 0.0459999i | \(-0.0146474\pi\) | |||||||
\(468\) | 5.43845 | + | 6.52262i | 0.251392 | + | 0.301508i | ||||
\(469\) | −6.68466 | + | 37.1771i | −0.308669 | + | 1.71668i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | − | 15.2134i | − | 0.700996i | ||||||
\(472\) | −29.9309 | + | 7.86962i | −1.37768 | + | 0.362228i | ||||
\(473\) | − | 18.2462i | − | 0.838962i | ||||||
\(474\) | 2.39871 | − | 5.12311i | 0.110176 | − | 0.235312i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 32.7640 | − | 18.6334i | 1.50173 | − | 0.854060i | ||||
\(477\) | − | 4.24621i | − | 0.194421i | ||||||
\(478\) | 16.4127 | + | 7.68466i | 0.750701 | + | 0.351488i | ||||
\(479\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | − | 4.00000i | − | 0.182384i | ||||||
\(482\) | 20.0000 | + | 9.36426i | 0.910975 | + | 0.426531i | ||||
\(483\) | 13.9817 | + | 2.51398i | 0.636188 | + | 0.114390i | ||||
\(484\) | −6.71922 | − | 8.05872i | −0.305419 | − | 0.366305i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 20.6843 | + | 9.68466i | 0.938259 | + | 0.439305i | ||||
\(487\) | 19.0744 | 0.864342 | 0.432171 | − | 0.901792i | \(-0.357748\pi\) | ||||
0.432171 | + | 0.901792i | \(0.357748\pi\) | |||||||
\(488\) | −1.43845 | − | 5.47091i | −0.0651154 | − | 0.247657i | ||||
\(489\) | − | 0.876894i | − | 0.0396545i | ||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | − | 13.6358i | − | 0.615376i | −0.951487 | − | 0.307688i | \(-0.900445\pi\) | ||
0.951487 | − | 0.307688i | \(-0.0995553\pi\) | |||||||
\(492\) | 8.54312 | + | 10.2462i | 0.385153 | + | 0.461935i | ||||
\(493\) | −14.2462 | −0.641617 | ||||||||
\(494\) | −2.87689 | + | 6.14441i | −0.129438 | + | 0.276450i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −4.79741 | + | 26.2462i | −0.215410 | + | 1.17849i | ||||
\(497\) | −16.0000 | − | 2.87689i | −0.717698 | − | 0.129046i | ||||
\(498\) | 0.525853 | − | 1.12311i | 0.0235640 | − | 0.0503276i | ||||
\(499\) | − | 27.2069i | − | 1.21795i | −0.793190 | − | 0.608974i | \(-0.791581\pi\) | ||
0.793190 | − | 0.608974i | \(-0.208419\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −2.13826 | −0.0955304 | ||||||||
\(502\) | 9.93087 | − | 21.2101i | 0.443236 | − | 0.946655i | ||||
\(503\) | − | 21.4731i | − | 0.957437i | −0.877968 | − | 0.478718i | \(-0.841101\pi\) | ||
0.877968 | − | 0.478718i | \(-0.158899\pi\) | |||||||
\(504\) | −1.25704 | − | 15.8381i | −0.0559930 | − | 0.705483i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −17.6155 | − | 8.24782i | −0.783106 | − | 0.366660i | ||||
\(507\) | 8.42784i | 0.374293i | ||||||||
\(508\) | −16.9386 | − | 20.3153i | −0.751528 | − | 0.901348i | ||||
\(509\) | 17.6155i | 0.780795i | 0.920646 | + | 0.390397i | \(0.127662\pi\) | ||||
−0.920646 | + | 0.390397i | \(0.872338\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 4.38684 | − | 24.3976i | 0.194062 | − | 1.07929i | ||||
\(512\) | 16.2236 | − | 15.7732i | 0.716990 | − | 0.697083i | ||||
\(513\) | 11.5076i | 0.508072i | ||||||||
\(514\) | −8.01726 | + | 17.1231i | −0.353626 | + | 0.755268i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −10.9418 | + | 9.12311i | −0.481687 | + | 0.401622i | ||||
\(517\) | −24.0000 | −1.05552 | ||||||||
\(518\) | −4.32246 | + | 6.10871i | −0.189918 | + | 0.268401i | ||||
\(519\) | 0.230559i | 0.0101204i | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 26.2462i | 1.14987i | 0.818200 | + | 0.574934i | \(0.194972\pi\) | ||||
−0.818200 | + | 0.574934i | \(0.805028\pi\) | |||||||
\(522\) | −2.54635 | + | 5.43845i | −0.111451 | + | 0.238034i | ||||
\(523\) | 17.2015i | 0.752170i | 0.926585 | + | 0.376085i | \(0.122730\pi\) | ||||
−0.926585 | + | 0.376085i | \(0.877270\pi\) | |||||||
\(524\) | 17.7597 | + | 21.3002i | 0.775838 | + | 0.930503i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −1.19224 | + | 2.54635i | −0.0519840 | + | 0.111026i | ||||
\(527\) | −47.5130 | −2.06970 | ||||||||
\(528\) | 1.61553 | − | 8.83841i | 0.0703068 | − | 0.384642i | ||||
\(529\) | 9.87689 | 0.429430 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −23.2306 | −1.00812 | ||||||||
\(532\) | 11.0333 | − | 6.27479i | 0.478353 | − | 0.272047i | ||||
\(533\) | 14.2462i | 0.617072i | ||||||||
\(534\) | −6.73863 | + | 14.3922i | −0.291609 | + | 0.622813i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −39.0540 | + | 10.2683i | −1.68687 | + | 0.443524i | ||||
\(537\) | −0.492423 | −0.0212496 | ||||||||
\(538\) | −20.8078 | − | 9.74247i | −0.897086 | − | 0.420028i | ||||
\(539\) | −5.84912 | + | 15.7392i | −0.251939 | + | 0.677937i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 30.0000 | 1.28980 | 0.644900 | − | 0.764267i | \(-0.276899\pi\) | ||||
0.644900 | + | 0.764267i | \(0.276899\pi\) | |||||||
\(542\) | −14.2462 | + | 30.4268i | −0.611927 | + | 1.30694i | ||||
\(543\) | 6.43971 | 0.276354 | ||||||||
\(544\) | 32.8255 | + | 23.3693i | 1.40738 | + | 1.00195i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −4.04766 | + | 5.72036i | −0.173224 | + | 0.244809i | ||||
\(547\) | −1.75757 | −0.0751484 | −0.0375742 | − | 0.999294i | \(-0.511963\pi\) | ||||
−0.0375742 | + | 0.999294i | \(0.511963\pi\) | |||||||
\(548\) | −21.5054 | + | 17.9309i | −0.918667 | + | 0.765969i | ||||
\(549\) | − | 4.24621i | − | 0.181224i | ||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −4.79741 | −0.204377 | ||||||||
\(552\) | 3.86174 | + | 14.6875i | 0.164367 | + | 0.625143i | ||||
\(553\) | −11.1231 | − | 2.00000i | −0.473003 | − | 0.0850487i | ||||
\(554\) | 5.43845 | + | 2.54635i | 0.231057 | + | 0.108184i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 1.72521 | + | 2.06913i | 0.0731650 | + | 0.0877507i | ||||
\(557\) | 6.49242i | 0.275093i | 0.990495 | + | 0.137546i | \(0.0439216\pi\) | ||||
−0.990495 | + | 0.137546i | \(0.956078\pi\) | |||||||
\(558\) | −8.49242 | + | 18.1379i | −0.359513 | + | 0.767840i | ||||
\(559\) | −15.2134 | −0.643457 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 16.0000 | 0.675521 | ||||||||
\(562\) | 2.77691 | − | 5.93087i | 0.117137 | − | 0.250179i | ||||
\(563\) | − | 26.7963i | − | 1.12933i | −0.825320 | − | 0.564665i | \(-0.809005\pi\) | ||
0.825320 | − | 0.564665i | \(-0.190995\pi\) | |||||||
\(564\) | 12.0000 | + | 14.3922i | 0.505291 | + | 0.606022i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −31.6261 | − | 14.8078i | −1.32934 | − | 0.622417i | ||||
\(567\) | 0.878787 | − | 4.88742i | 0.0369056 | − | 0.205252i | ||||
\(568\) | −4.41921 | − | 16.8078i | −0.185426 | − | 0.705238i | ||||
\(569\) | 37.1231 | 1.55628 | 0.778141 | − | 0.628090i | \(-0.216163\pi\) | ||||
0.778141 | + | 0.628090i | \(0.216163\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 28.0281i | 1.17294i | 0.809972 | + | 0.586469i | \(0.199482\pi\) | ||||
−0.809972 | + | 0.586469i | \(0.800518\pi\) | |||||||
\(572\) | 7.36932 | − | 6.14441i | 0.308127 | − | 0.256911i | ||||
\(573\) | 1.26137 | 0.0526943 | ||||||||
\(574\) | 15.3947 | − | 21.7565i | 0.642561 | − | 0.908099i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 14.7884 | − | 8.35401i | 0.616181 | − | 0.348084i | ||||
\(577\) | 4.38447 | 0.182528 | 0.0912640 | − | 0.995827i | \(-0.470909\pi\) | ||||
0.0912640 | + | 0.995827i | \(0.470909\pi\) | |||||||
\(578\) | −20.2323 | + | 43.2116i | −0.841551 | + | 1.79737i | ||||
\(579\) | −9.82538 | −0.408329 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −2.43845 | − | 0.438447i | −0.101164 | − | 0.0181899i | ||||
\(582\) | 8.54312 | + | 4.00000i | 0.354124 | + | 0.165805i | ||||
\(583\) | −4.79741 | −0.198688 | ||||||||
\(584\) | 25.6294 | − | 6.73863i | 1.06055 | − | 0.278847i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −19.3373 | + | 41.3002i | −0.798816 | + | 1.70609i | ||||
\(587\) | 8.65840i | 0.357370i | 0.983906 | + | 0.178685i | \(0.0571843\pi\) | ||||
−0.983906 | + | 0.178685i | \(0.942816\pi\) | |||||||
\(588\) | 12.3630 | − | 4.36204i | 0.509842 | − | 0.179887i | ||||
\(589\) | −16.0000 | −0.659269 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 16.8557 | 0.693350 | ||||||||
\(592\) | −7.86962 | − | 1.43845i | −0.323439 | − | 0.0591198i | ||||
\(593\) | −13.3693 | −0.549012 | −0.274506 | − | 0.961585i | \(-0.588514\pi\) | ||||
−0.274506 | + | 0.961585i | \(0.588514\pi\) | |||||||
\(594\) | 6.90082 | − | 14.7386i | 0.283144 | − | 0.604733i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −24.8078 | − | 29.7533i | −1.01617 | − | 1.21874i | ||||
\(597\) | − | 15.0152i | − | 0.614529i | ||||||
\(598\) | −6.87689 | + | 14.6875i | −0.281217 | + | 0.600618i | ||||
\(599\) | − | 10.1207i | − | 0.413520i | −0.978392 | − | 0.206760i | \(-0.933708\pi\) | ||
0.978392 | − | 0.206760i | \(-0.0662919\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | − | 8.87689i | − | 0.362096i | −0.983474 | − | 0.181048i | \(-0.942051\pi\) | ||
0.983474 | − | 0.181048i | \(-0.0579489\pi\) | |||||||
\(602\) | 23.2335 | + | 16.4398i | 0.946928 | + | 0.670036i | ||||
\(603\) | −30.3115 | −1.23438 | ||||||||
\(604\) | −22.5616 | + | 18.8114i | −0.918017 | + | 0.765427i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −3.86174 | + | 8.24782i | −0.156872 | + | 0.335045i | ||||
\(607\) | − | 7.90198i | − | 0.320732i | −0.987058 | − | 0.160366i | \(-0.948733\pi\) | ||
0.987058 | − | 0.160366i | \(-0.0512674\pi\) | |||||||
\(608\) | 11.0540 | + | 7.86962i | 0.448298 | + | 0.319155i | ||||
\(609\) | −4.87689 | − | 0.876894i | −0.197622 | − | 0.0355336i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 20.0108i | 0.809550i | ||||||||
\(612\) | 19.3693 | + | 23.2306i | 0.782958 | + | 0.939043i | ||||
\(613\) | − | 11.7538i | − | 0.474731i | −0.971420 | − | 0.237366i | \(-0.923716\pi\) | ||
0.971420 | − | 0.237366i | \(-0.0762839\pi\) | |||||||
\(614\) | −40.1692 | − | 18.8078i | −1.62110 | − | 0.759020i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −17.8940 | + | 1.42022i | −0.720970 | + | 0.0572222i | ||||
\(617\) | − | 26.0000i | − | 1.04672i | −0.852111 | − | 0.523360i | \(-0.824678\pi\) | ||
0.852111 | − | 0.523360i | \(-0.175322\pi\) | |||||||
\(618\) | 0.821147 | − | 1.75379i | 0.0330314 | − | 0.0705477i | ||||
\(619\) | −48.8600 | −1.96385 | −0.981925 | − | 0.189273i | \(-0.939387\pi\) | ||||
−0.981925 | + | 0.189273i | \(0.939387\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 27.5076i | 1.10384i | ||||||||
\(622\) | −5.61553 | + | 11.9935i | −0.225162 | + | 0.480897i | ||||
\(623\) | 31.2479 | + | 5.61856i | 1.25192 | + | 0.225103i | ||||
\(624\) | −7.36932 | − | 1.34700i | −0.295009 | − | 0.0539232i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −4.56685 | + | 9.75379i | −0.182528 | + | 0.389840i | ||||
\(627\) | 5.38800 | 0.215176 | ||||||||
\(628\) | −20.8078 | − | 24.9559i | −0.830320 | − | 0.995847i | ||||
\(629\) | − | 14.2462i | − | 0.568034i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 7.19612i | 0.286473i | 0.989688 | + | 0.143236i | \(0.0457509\pi\) | ||||
−0.989688 | + | 0.143236i | \(0.954249\pi\) | |||||||
\(632\) | −3.07221 | − | 11.6847i | −0.122206 | − | 0.464791i | ||||
\(633\) | 17.2614 | 0.686078 | ||||||||
\(634\) | 5.43845 | + | 2.54635i | 0.215988 | + | 0.101129i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 2.39871 | + | 2.87689i | 0.0951149 | + | 0.114076i | ||||
\(637\) | 13.1231 | + | 4.87689i | 0.519956 | + | 0.193230i | ||||
\(638\) | 6.14441 | + | 2.87689i | 0.243260 | + | 0.113897i | ||||
\(639\) | − | 13.0452i | − | 0.516061i | ||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 1.12311 | 0.0443600 | 0.0221800 | − | 0.999754i | \(-0.492939\pi\) | ||||
0.0221800 | + | 0.999754i | \(0.492939\pi\) | |||||||
\(642\) | 11.3693 | + | 5.32326i | 0.448711 | + | 0.210092i | ||||
\(643\) | 4.91269i | 0.193738i | 0.995297 | + | 0.0968688i | \(0.0308827\pi\) | ||||
−0.995297 | + | 0.0968688i | \(0.969117\pi\) | |||||||
\(644\) | 26.3738 | − | 14.9992i | 1.03927 | − | 0.591051i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −10.2462 | + | 21.8836i | −0.403132 | + | 0.861000i | ||||
\(647\) | − | 37.7382i | − | 1.48364i | −0.670599 | − | 0.741820i | \(-0.733963\pi\) | ||
0.670599 | − | 0.741820i | \(-0.266037\pi\) | |||||||
\(648\) | 5.13416 | − | 1.34991i | 0.201689 | − | 0.0530293i | ||||
\(649\) | 26.2462i | 1.03025i | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −16.2651 | − | 2.92456i | −0.637479 | − | 0.114622i | ||||
\(652\) | −1.19935 | − | 1.43845i | −0.0469703 | − | 0.0563339i | ||||
\(653\) | − | 42.9848i | − | 1.68213i | −0.540936 | − | 0.841063i | \(-0.681930\pi\) | ||
0.540936 | − | 0.841063i | \(-0.318070\pi\) | |||||||
\(654\) | −1.34700 | − | 0.630683i | −0.0526719 | − | 0.0246617i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 28.0281 | + | 5.12311i | 1.09431 | + | 0.200024i | ||||
\(657\) | 19.8920 | 0.776063 | ||||||||
\(658\) | 21.6240 | − | 30.5600i | 0.842990 | − | 1.19135i | ||||
\(659\) | − | 4.27156i | − | 0.166396i | −0.996533 | − | 0.0831981i | \(-0.973487\pi\) | ||
0.996533 | − | 0.0831981i | \(-0.0265134\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | − | 4.24621i | − | 0.165158i | −0.996585 | − | 0.0825792i | \(-0.973684\pi\) | ||
0.996585 | − | 0.0825792i | \(-0.0263158\pi\) | |||||||
\(662\) | 37.2447 | + | 17.4384i | 1.44756 | + | 0.677764i | ||||
\(663\) | − | 13.3405i | − | 0.518103i | ||||||
\(664\) | −0.673500 | − | 2.56155i | −0.0261369 | − | 0.0994075i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −5.43845 | − | 2.54635i | −0.210736 | − | 0.0986692i | ||||
\(667\) | −11.4677 | −0.444030 | ||||||||
\(668\) | −3.50758 | + | 2.92456i | −0.135712 | + | 0.113155i | ||||
\(669\) | 12.1080 | 0.468120 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −4.79741 | −0.185202 | ||||||||
\(672\) | 9.79867 | + | 10.0205i | 0.377992 | + | 0.386549i | ||||
\(673\) | 14.0000i | 0.539660i | 0.962908 | + | 0.269830i | \(0.0869676\pi\) | ||||
−0.962908 | + | 0.269830i | \(0.913032\pi\) | |||||||
\(674\) | −5.43845 | − | 2.54635i | −0.209481 | − | 0.0980818i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 11.5270 | + | 13.8249i | 0.443346 | + | 0.531728i | ||||
\(677\) | 16.7386 | 0.643318 | 0.321659 | − | 0.946856i | \(-0.395760\pi\) | ||||
0.321659 | + | 0.946856i | \(0.395760\pi\) | |||||||
\(678\) | −8.13826 | + | 17.3815i | −0.312548 | + | 0.667534i | ||||
\(679\) | 3.33513 | − | 18.5485i | 0.127991 | − | 0.711827i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 13.3693 | 0.512313 | ||||||||
\(682\) | 20.4924 | + | 9.59482i | 0.784695 | + | 0.367405i | ||||
\(683\) | 7.60669 | 0.291062 | 0.145531 | − | 0.989354i | \(-0.453511\pi\) | ||||
0.145531 | + | 0.989354i | \(0.453511\pi\) | |||||||
\(684\) | 6.52262 | + | 7.82292i | 0.249398 | + | 0.299117i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −14.7713 | − | 21.6289i | −0.563970 | − | 0.825795i | ||||
\(687\) | −19.7802 | −0.754663 | ||||||||
\(688\) | −5.47091 | + | 29.9309i | −0.208577 | + | 1.14110i | ||||
\(689\) | 4.00000i | 0.152388i | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 22.4095 | 0.852497 | 0.426249 | − | 0.904606i | \(-0.359835\pi\) | ||||
0.426249 | + | 0.904606i | \(0.359835\pi\) | |||||||
\(692\) | 0.315342 | + | 0.378206i | 0.0119875 | + | 0.0143772i | ||||
\(693\) | −13.2614 | − | 2.38447i | −0.503758 | − | 0.0905786i | ||||
\(694\) | −5.68466 | + | 12.1412i | −0.215787 | + | 0.460873i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | −1.34700 | − | 5.12311i | −0.0510579 | − | 0.194191i | ||||
\(697\) | 50.7386i | 1.92186i | ||||||||
\(698\) | 35.6847 | + | 16.7080i | 1.35068 | + | 0.632408i | ||||
\(699\) | −22.7048 | −0.858774 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 2.87689 | 0.108659 | 0.0543294 | − | 0.998523i | \(-0.482698\pi\) | ||||
0.0543294 | + | 0.998523i | \(0.482698\pi\) | |||||||
\(702\) | −12.2888 | − | 5.75379i | −0.463812 | − | 0.217163i | ||||
\(703\) | − | 4.79741i | − | 0.180938i | ||||||
\(704\) | −9.43845 | − | 16.7080i | −0.355725 | − | 0.629707i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 3.21985 | − | 6.87689i | 0.121181 | − | 0.258815i | ||||
\(707\) | 17.9074 | + | 3.21985i | 0.673476 | + | 0.121095i | ||||
\(708\) | 15.7392 | − | 13.1231i | 0.591517 | − | 0.493197i | ||||
\(709\) | 4.73863 | 0.177963 | 0.0889816 | − | 0.996033i | \(-0.471639\pi\) | ||||
0.0889816 | + | 0.996033i | \(0.471639\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | − | 9.06897i | − | 0.340113i | ||||||
\(712\) | 8.63068 | + | 32.8255i | 0.323449 | + | 1.23019i | ||||
\(713\) | −38.2462 | −1.43233 | ||||||||
\(714\) | −14.4160 | + | 20.3734i | −0.539504 | + | 0.762454i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −0.807764 | + | 0.673500i | −0.0301876 | + | 0.0251699i | ||||
\(717\) | −12.0000 | −0.448148 | ||||||||
\(718\) | 21.2101 | + | 9.93087i | 0.791556 | + | 0.370617i | ||||
\(719\) | −37.9182 | −1.41411 | −0.707055 | − | 0.707159i | \(-0.749977\pi\) | ||||
−0.707055 | + | 0.707159i | \(0.749977\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −3.80776 | − | 0.684658i | −0.141809 | − | 0.0254980i | ||||
\(722\) | 7.94344 | − | 16.9654i | 0.295624 | − | 0.631388i | ||||
\(723\) | −14.6228 | −0.543828 | ||||||||
\(724\) | 10.5636 | − | 8.80776i | 0.392594 | − | 0.327338i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 6.29206 | + | 2.94602i | 0.233520 | + | 0.109337i | ||||
\(727\) | − | 22.2942i | − | 0.826847i | −0.910539 | − | 0.413423i | \(-0.864333\pi\) | ||
0.910539 | − | 0.413423i | \(-0.135667\pi\) | |||||||
\(728\) | 1.18415 | + | 14.9197i | 0.0438876 | + | 0.552961i | ||||
\(729\) | −9.49242 | −0.351571 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −54.1833 | −2.00404 | ||||||||
\(732\) | 2.39871 | + | 2.87689i | 0.0886587 | + | 0.106333i | ||||
\(733\) | 48.7386 | 1.80020 | 0.900101 | − | 0.435681i | \(-0.143492\pi\) | ||||
0.900101 | + | 0.435681i | \(0.143492\pi\) | |||||||
\(734\) | 9.06897 | + | 4.24621i | 0.334742 | + | 0.156731i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 26.4233 | + | 18.8114i | 0.973975 | + | 0.693399i | ||||
\(737\) | 34.2462i | 1.26148i | ||||||||
\(738\) | 19.3693 | + | 9.06897i | 0.712994 | + | 0.333833i | ||||
\(739\) | − | 15.5087i | − | 0.570496i | −0.958454 | − | 0.285248i | \(-0.907924\pi\) | ||
0.958454 | − | 0.285248i | \(-0.0920759\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | − | 4.49242i | − | 0.165033i | ||||||
\(742\) | 4.32246 | − | 6.10871i | 0.158682 | − | 0.224258i | ||||
\(743\) | 15.0981 | 0.553896 | 0.276948 | − | 0.960885i | \(-0.410677\pi\) | ||||
0.276948 | + | 0.960885i | \(0.410677\pi\) | |||||||
\(744\) | −4.49242 | − | 17.0862i | −0.164700 | − | 0.626412i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 28.8078 | + | 13.4882i | 1.05473 | + | 0.493837i | ||||
\(747\) | − | 1.98813i | − | 0.0727420i | ||||||
\(748\) | 26.2462 | − | 21.8836i | 0.959657 | − | 0.800145i | ||||
\(749\) | 4.43845 | − | 24.6847i | 0.162177 | − | 0.901958i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | − | 5.09271i | − | 0.185835i | −0.995674 | − | 0.0929177i | \(-0.970381\pi\) | ||
0.995674 | − | 0.0929177i | \(-0.0296194\pi\) | |||||||
\(752\) | 39.3693 | + | 7.19612i | 1.43565 | + | 0.262415i | ||||
\(753\) | 15.5076i | 0.565128i | ||||||||
\(754\) | 2.39871 | − | 5.12311i | 0.0873557 | − | 0.186573i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 12.5496 | + | 22.0665i | 0.456424 | + | 0.802552i | ||||
\(757\) | − | 12.2462i | − | 0.445096i | −0.974922 | − | 0.222548i | \(-0.928563\pi\) | ||
0.974922 | − | 0.222548i | \(-0.0714374\pi\) | |||||||
\(758\) | −28.7016 | − | 13.4384i | −1.04249 | − | 0.488106i | ||||
\(759\) | 12.8794 | 0.467493 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | − | 35.2311i | − | 1.27712i | −0.769570 | − | 0.638562i | \(-0.779529\pi\) | ||
0.769570 | − | 0.638562i | \(-0.220471\pi\) | |||||||
\(762\) | 15.8617 | + | 7.42668i | 0.574610 | + | 0.269040i | ||||
\(763\) | −0.525853 | + | 2.92456i | −0.0190372 | + | 0.105876i | ||||
\(764\) | 2.06913 | − | 1.72521i | 0.0748585 | − | 0.0624158i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −22.4095 | − | 10.4924i | −0.809688 | − | 0.379107i | ||||
\(767\) | 21.8836 | 0.790173 | ||||||||
\(768\) | −5.30019 | + | 14.0140i | −0.191254 | + | 0.505688i | ||||
\(769\) | 55.2311i | 1.99168i | 0.0911037 | + | 0.995841i | \(0.470961\pi\) | ||||
−0.0911037 | + | 0.995841i | \(0.529039\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | − | 12.5194i | − | 0.450874i | ||||||
\(772\) | −16.1174 | + | 13.4384i | −0.580079 | + | 0.483660i | ||||
\(773\) | −16.7386 | −0.602047 | −0.301023 | − | 0.953617i | \(-0.597328\pi\) | ||||
−0.301023 | + | 0.953617i | \(0.597328\pi\) | |||||||
\(774\) | −9.68466 | + | 20.6843i | −0.348108 | + | 0.743482i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 19.4849 | − | 5.12311i | 0.699469 | − | 0.183909i | ||||
\(777\) | 0.876894 | − | 4.87689i | 0.0314584 | − | 0.174958i | ||||
\(778\) | 0.673500 | − | 1.43845i | 0.0241461 | − | 0.0515708i | ||||
\(779\) | 17.0862i | 0.612178i | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −14.7386 | −0.527390 | ||||||||
\(782\) | −24.4924 | + | 52.3104i | −0.875847 | + | 1.87062i | ||||
\(783\) | − | 9.59482i | − | 0.342891i | ||||||
\(784\) | 14.3140 | − | 24.0647i | 0.511216 | − | 0.859452i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | −16.6307 | − | 7.78671i | −0.593197 | − | 0.277743i | ||||
\(787\) | 0.936426i | 0.0333800i | 0.999861 | + | 0.0166900i | \(0.00531284\pi\) | ||||
−0.999861 | + | 0.0166900i | \(0.994687\pi\) | |||||||
\(788\) | 27.6499 | − | 23.0540i | 0.984985 | − | 0.821264i | ||||
\(789\) | − | 1.86174i | − | 0.0662797i | ||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 37.7382 | + | 6.78554i | 1.34181 | + | 0.241266i | ||||
\(792\) | −3.66279 | − | 13.9309i | −0.130152 | − | 0.495012i | ||||
\(793\) | 4.00000i | 0.142044i | ||||||||
\(794\) | 8.39547 | − | 17.9309i | 0.297944 | − | 0.636343i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −20.5366 | − | 24.6307i | −0.727902 | − | 0.873011i | ||||
\(797\) | −20.2462 | −0.717158 | −0.358579 | − | 0.933499i | \(-0.616739\pi\) | ||||
−0.358579 | + | 0.933499i | \(0.616739\pi\) | |||||||
\(798\) | −4.85458 | + | 6.86073i | −0.171850 | + | 0.242867i | ||||
\(799\) | 71.2695i | 2.52133i | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 25.4773i | 0.900195i | ||||||||
\(802\) | −3.59806 | + | 7.68466i | −0.127052 | + | 0.271355i | ||||
\(803\) | − | 22.4742i | − | 0.793098i | ||||||
\(804\) | 20.5366 | − | 17.1231i | 0.724272 | − | 0.603885i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 8.00000 | − | 17.0862i | 0.281788 | − | 0.601837i | ||||
\(807\) | 15.2134 | 0.535536 | ||||||||
\(808\) | 4.94602 | + | 18.8114i | 0.174001 | + | 0.661784i | ||||
\(809\) | 18.9848 | 0.667472 | 0.333736 | − | 0.942667i | \(-0.391691\pi\) | ||||
0.333736 | + | 0.942667i | \(0.391691\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −9.06897 | −0.318455 | −0.159227 | − | 0.987242i | \(-0.550900\pi\) | ||||
−0.159227 | + | 0.987242i | \(0.550900\pi\) | |||||||
\(812\) | −9.19935 | + | 5.23182i | −0.322834 | + | 0.183601i | ||||
\(813\) | − | 22.2462i | − | 0.780209i | ||||||
\(814\) | −2.87689 | + | 6.14441i | −0.100835 | + | 0.215362i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | −26.2462 | − | 4.79741i | −0.918801 | − | 0.167943i | ||||
\(817\) | −18.2462 | −0.638354 | ||||||||
\(818\) | 11.3693 | + | 5.32326i | 0.397519 | + | 0.186124i | ||||
\(819\) | −1.98813 | + | 11.0571i | −0.0694710 | + | 0.386366i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −25.6155 | −0.893988 | −0.446994 | − | 0.894537i | \(-0.647505\pi\) | ||||
−0.446994 | + | 0.894537i | \(0.647505\pi\) | |||||||
\(822\) | 7.86174 | − | 16.7909i | 0.274210 | − | 0.585651i | ||||
\(823\) | −32.1843 | −1.12188 | −0.560938 | − | 0.827858i | \(-0.689559\pi\) | ||||
−0.560938 | + | 0.827858i | \(0.689559\pi\) | |||||||
\(824\) | −1.05171 | − | 4.00000i | −0.0366379 | − | 0.139347i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −33.4202 | − | 23.6478i | −1.16284 | − | 0.822812i | ||||
\(827\) | −0.115279 | −0.00400866 | −0.00200433 | − | 0.999998i | \(-0.500638\pi\) | ||||
−0.00200433 | + | 0.999998i | \(0.500638\pi\) | |||||||
\(828\) | 15.5916 | + | 18.6998i | 0.541845 | + | 0.649863i | ||||
\(829\) | 32.2462i | 1.11996i | 0.828507 | + | 0.559979i | \(0.189191\pi\) | ||||
−0.828507 | + | 0.559979i | \(0.810809\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −3.97626 | −0.137935 | ||||||||
\(832\) | −13.9309 | + | 7.86962i | −0.482966 | + | 0.272830i | ||||
\(833\) | 46.7386 | + | 17.3693i | 1.61940 | + | 0.601811i | ||||
\(834\) | −1.61553 | − | 0.756412i | −0.0559412 | − | 0.0261924i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 8.83841 | − | 7.36932i | 0.305683 | − | 0.254873i | ||||
\(837\) | − | 32.0000i | − | 1.10608i | ||||||
\(838\) | 7.19224 | − | 15.3610i | 0.248452 | − | 0.530638i | ||||
\(839\) | 35.2242 | 1.21607 | 0.608037 | − | 0.793909i | \(-0.291957\pi\) | ||||
0.608037 | + | 0.793909i | \(0.291957\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −25.0000 | −0.862069 | ||||||||
\(842\) | 10.5636 | − | 22.5616i | 0.364046 | − | 0.777522i | ||||
\(843\) | 4.33629i | 0.149350i | ||||||||
\(844\) | 28.3153 | − | 23.6089i | 0.974654 | − | 0.812650i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 27.2069 | + | 12.7386i | 0.935393 | + | 0.437963i | ||||
\(847\) | 2.45635 | − | 13.6611i | 0.0844010 | − | 0.469401i | ||||
\(848\) | 7.86962 | + | 1.43845i | 0.270244 | + | 0.0493965i | ||||
\(849\) | 23.1231 | 0.793583 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | − | 11.4677i | − | 0.393107i | ||||||
\(852\) | 7.36932 | + | 8.83841i | 0.252469 | + | 0.302799i | ||||
\(853\) | −7.75379 | −0.265485 | −0.132742 | − | 0.991151i | \(-0.542378\pi\) | ||||
−0.132742 | + | 0.991151i | \(0.542378\pi\) | |||||||
\(854\) | 4.32246 | − | 6.10871i | 0.147911 | − | 0.209036i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 25.9309 | − | 6.81791i | 0.886299 | − | 0.233031i | ||||
\(857\) | −15.6155 | −0.533416 | −0.266708 | − | 0.963777i | \(-0.585936\pi\) | ||||
−0.266708 | + | 0.963777i | \(0.585936\pi\) | |||||||
\(858\) | −2.69400 | + | 5.75379i | −0.0919716 | + | 0.196431i | ||||
\(859\) | −41.3686 | −1.41148 | −0.705739 | − | 0.708472i | \(-0.749385\pi\) | ||||
−0.705739 | + | 0.708472i | \(0.749385\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −3.12311 | + | 17.3693i | −0.106435 | + | 0.591945i | ||||
\(862\) | −46.8395 | − | 21.9309i | −1.59536 | − | 0.746968i | ||||
\(863\) | −41.7792 | −1.42218 | −0.711090 | − | 0.703101i | \(-0.751798\pi\) | ||||
−0.711090 | + | 0.703101i | \(0.751798\pi\) | |||||||
\(864\) | −15.7392 | + | 22.1080i | −0.535460 | + | 0.752128i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −6.96556 | + | 14.8769i | −0.236699 | + | 0.505537i | ||||
\(867\) | − | 31.5937i | − | 1.07298i | ||||||
\(868\) | −30.6811 | + | 17.4488i | −1.04138 | + | 0.592251i | ||||
\(869\) | −10.2462 | −0.347579 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 28.5539 | 0.967512 | ||||||||
\(872\) | −3.07221 | + | 0.807764i | −0.104038 | + | 0.0273543i | ||||
\(873\) | 15.1231 | 0.511840 | ||||||||
\(874\) | −8.24782 | + | 17.6155i | −0.278987 | + | 0.595854i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −13.4773 | + | 11.2371i | −0.455355 | + | 0.379667i | ||||
\(877\) | − | 48.7386i | − | 1.64579i | −0.568196 | − | 0.822893i | \(-0.692358\pi\) | ||
0.568196 | − | 0.822893i | \(-0.307642\pi\) | |||||||
\(878\) | −10.8769 | + | 23.2306i | −0.367077 | + | 0.783996i | ||||
\(879\) | − | 30.1962i | − | 1.01849i | ||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | − | 6.63068i | − | 0.223393i | −0.993742 | − | 0.111697i | \(-0.964371\pi\) | ||
0.993742 | − | 0.111697i | \(-0.0356285\pi\) | |||||||
\(882\) | 14.9847 | − | 14.7378i | 0.504561 | − | 0.496246i | ||||
\(883\) | 13.4558 | 0.452824 | 0.226412 | − | 0.974032i | \(-0.427300\pi\) | ||||
0.226412 | + | 0.974032i | \(0.427300\pi\) | |||||||
\(884\) | −18.2462 | − | 21.8836i | −0.613686 | − | 0.736027i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 18.1771 | − | 38.8222i | 0.610671 | − | 1.30426i | ||||
\(887\) | − | 17.7274i | − | 0.595227i | −0.954686 | − | 0.297613i | \(-0.903809\pi\) | ||
0.954686 | − | 0.297613i | \(-0.0961906\pi\) | |||||||
\(888\) | 5.12311 | − | 1.34700i | 0.171920 | − | 0.0452024i | ||||
\(889\) | 6.19224 | − | 34.4384i | 0.207681 | − | 1.15503i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | − | 4.50212i | − | 0.150827i | ||||||
\(892\) | 19.8617 | − | 16.5604i | 0.665020 | − | 0.554483i | ||||
\(893\) | 24.0000i | 0.803129i | ||||||||
\(894\) | 23.2306 | + | 10.8769i | 0.776949 | + | 0.363778i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 29.7789 | + | 3.03560i | 0.994844 | + | 0.101412i | ||||
\(897\) | − | 10.7386i | − | 0.358553i | ||||||
\(898\) | 15.3610 | − | 32.8078i | 0.512604 | − | 1.09481i | ||||
\(899\) | 13.3405 | 0.444932 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 14.2462i | 0.474610i | ||||||||
\(902\) | 10.2462 | − | 21.8836i | 0.341162 | − | 0.728646i | ||||
\(903\) | −18.5485 | − | 3.33513i | −0.617256 | − | 0.110986i | ||||
\(904\) | 10.4233 | + | 39.6434i | 0.346674 | + | 1.31852i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 8.24782 | − | 17.6155i | 0.274016 | − | 0.585237i | ||||
\(907\) | 14.5075 | 0.481714 | 0.240857 | − | 0.970561i | \(-0.422572\pi\) | ||||
0.240857 | + | 0.970561i | \(0.422572\pi\) | |||||||
\(908\) | 21.9309 | − | 18.2856i | 0.727801 | − | 0.606829i | ||||
\(909\) | 14.6004i | 0.484264i | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | − | 10.9418i | − | 0.362519i | −0.983435 | − | 0.181259i | \(-0.941983\pi\) | ||
0.983435 | − | 0.181259i | \(-0.0580174\pi\) | |||||||
\(912\) | −8.83841 | − | 1.61553i | −0.292669 | − | 0.0534955i | ||||
\(913\) | −2.24621 | −0.0743387 | ||||||||
\(914\) | −7.68466 | − | 3.59806i | −0.254186 | − | 0.119013i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −32.4473 | + | 27.0540i | −1.07209 | + | 0.893889i | ||||
\(917\) | −6.49242 | + | 36.1080i | −0.214399 | + | 1.19239i | ||||
\(918\) | −43.7673 | − | 20.4924i | −1.44454 | − | 0.676351i | ||||
\(919\) | 29.9009i | 0.986340i | 0.869933 | + | 0.493170i | \(0.164162\pi\) | ||||
−0.869933 | + | 0.493170i | \(0.835838\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 29.3693 | 0.967752 | ||||||||
\(922\) | −48.1771 | − | 22.5571i | −1.58663 | − | 0.742880i | ||||
\(923\) | 12.2888i | 0.404492i | ||||||||
\(924\) | 10.3318 | − | 5.87588i | 0.339893 | − | 0.193302i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | −13.1922 | + | 28.1757i | −0.433524 | + | 0.925911i | ||||
\(927\) | − | 3.10457i | − | 0.101968i | ||||||
\(928\) | −9.21662 | − | 6.56155i | −0.302550 | − | 0.215394i | ||||
\(929\) | − | 12.8769i | − | 0.422477i | −0.977435 | − | 0.211239i | \(-0.932250\pi\) | ||
0.977435 | − | 0.211239i | \(-0.0677497\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 15.7392 | + | 5.84912i | 0.515833 | + | 0.191697i | ||||
\(932\) | −37.2447 | + | 31.0540i | −1.21999 | + | 1.01721i | ||||
\(933\) | − | 8.76894i | − | 0.287082i | ||||||
\(934\) | 2.54635 | + | 1.19224i | 0.0833192 | + | 0.0390112i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −11.6153 | + | 3.05398i | −0.379659 | + | 0.0998223i | ||||
\(937\) | 36.1080 | 1.17960 | 0.589798 | − | 0.807551i | \(-0.299207\pi\) | ||||
0.589798 | + | 0.807551i | \(0.299207\pi\) | |||||||
\(938\) | −43.6069 | − | 30.8558i | −1.42382 | − | 1.00748i | ||||
\(939\) | − | 7.13138i | − | 0.232724i | ||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | − | 51.3693i | − | 1.67459i | −0.546750 | − | 0.837296i | \(-0.684135\pi\) | ||
0.546750 | − | 0.837296i | \(-0.315865\pi\) | |||||||
\(942\) | 19.4849 | + | 9.12311i | 0.634854 | + | 0.297247i | ||||
\(943\) | 40.8427i | 1.33002i | ||||||||
\(944\) | 7.86962 | − | 43.0540i | 0.256134 | − | 1.40129i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 23.3693 | + | 10.9418i | 0.759802 | + | 0.355749i | ||||
\(947\) | −18.8438 | −0.612341 | −0.306171 | − | 0.951977i | \(-0.599048\pi\) | ||||
−0.306171 | + | 0.951977i | \(0.599048\pi\) | |||||||
\(948\) | 5.12311 | + | 6.14441i | 0.166391 | + | 0.199561i | ||||
\(949\) | −18.7386 | −0.608282 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −3.97626 | −0.128939 | ||||||||
\(952\) | 4.21742 | + | 53.1373i | 0.136687 | + | 1.72219i | ||||
\(953\) | − | 11.7538i | − | 0.380743i | −0.981712 | − | 0.190371i | \(-0.939031\pi\) | ||
0.981712 | − | 0.190371i | \(-0.0609692\pi\) | |||||||
\(954\) | 5.43845 | + | 2.54635i | 0.176076 | + | 0.0824412i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −19.6847 | + | 16.4127i | −0.636647 | + | 0.530826i | ||||
\(957\) | −4.49242 | −0.145219 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −36.4559 | − | 6.55498i | −1.17722 | − | 0.211671i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 13.4924 | 0.435239 | ||||||||
\(962\) | 5.12311 | + | 2.39871i | 0.165176 | + | 0.0773374i | ||||
\(963\) | 20.1261 | 0.648554 | ||||||||
\(964\) | −23.9871 | + | 20.0000i | −0.772571 | + | 0.644157i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −11.6043 | + | 16.3998i | −0.373363 | + | 0.527655i | ||||
\(967\) | −55.1197 | −1.77253 | −0.886265 | − | 0.463179i | \(-0.846709\pi\) | ||||
−0.886265 | + | 0.463179i | \(0.846709\pi\) | |||||||
\(968\) | 14.3508 | − | 3.77320i | 0.461251 | − | 0.121275i | ||||
\(969\) | − | 16.0000i | − | 0.513994i | ||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 0.525853 | 0.0168754 | 0.00843771 | − | 0.999964i | \(-0.497314\pi\) | ||||
0.00843771 | + | 0.999964i | \(0.497314\pi\) | |||||||
\(972\) | −24.8078 | + | 20.6843i | −0.795709 | + | 0.663449i | ||||
\(973\) | −0.630683 | + | 3.50758i | −0.0202188 | + | 0.112448i | ||||
\(974\) | −11.4384 | + | 24.4300i | −0.366511 | + | 0.782788i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 7.86962 | + | 1.43845i | 0.251900 | + | 0.0460436i | ||||
\(977\) | − | 10.4924i | − | 0.335682i | −0.985814 | − | 0.167841i | \(-0.946320\pi\) | ||
0.985814 | − | 0.167841i | \(-0.0536796\pi\) | |||||||
\(978\) | 1.12311 | + | 0.525853i | 0.0359130 | + | 0.0168149i | ||||
\(979\) | 28.7845 | 0.919956 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −2.38447 | −0.0761303 | ||||||||
\(982\) | 17.4644 | + | 8.17708i | 0.557313 | + | 0.260941i | ||||
\(983\) | − | 12.6994i | − | 0.405048i | −0.979277 | − | 0.202524i | \(-0.935086\pi\) | ||
0.979277 | − | 0.202524i | \(-0.0649144\pi\) | |||||||
\(984\) | −18.2462 | + | 4.79741i | −0.581668 | + | 0.152936i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 8.54312 | − | 18.2462i | 0.272068 | − | 0.581078i | ||||
\(987\) | −4.38684 | + | 24.3976i | −0.139635 | + | 0.776585i | ||||
\(988\) | −6.14441 | − | 7.36932i | −0.195480 | − | 0.234449i | ||||
\(989\) | −43.6155 | −1.38689 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | − | 34.4678i | − | 1.09490i | −0.836837 | − | 0.547452i | \(-0.815598\pi\) | ||
0.836837 | − | 0.547452i | \(-0.184402\pi\) | |||||||
\(992\) | −30.7386 | − | 21.8836i | −0.975953 | − | 0.694806i | ||||
\(993\) | −27.2311 | −0.864151 | ||||||||
\(994\) | 13.2795 | − | 18.7672i | 0.421200 | − | 0.595260i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 1.12311 | + | 1.34700i | 0.0355870 | + | 0.0426813i | ||||
\(997\) | −38.4924 | −1.21907 | −0.609534 | − | 0.792760i | \(-0.708643\pi\) | ||||
−0.609534 | + | 0.792760i | \(0.708643\pi\) | |||||||
\(998\) | 34.8460 | + | 16.3153i | 1.10303 | + | 0.516453i | ||||
\(999\) | 9.59482 | 0.303567 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))