Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [128,4,Mod(5,128)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(128, base_ring=CyclotomicField(32))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("128.5");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 128 = 2^{7} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 128.k (of order \(32\), degree \(16\), 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: | \(7.55224448073\) |
Analytic rank: | \(0\) |
Dimension: | \(752\) |
Relative dimension: | \(47\) over \(\Q(\zeta_{32})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{32}]$ |
Embedding invariants
Embedding label | 5.12 | ||
Character | \(\chi\) | \(=\) | 128.5 |
Dual form | 128.4.k.a.77.12 |
$q$-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 \(\left(\mathbb{Z}/128\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{32}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.14725 | + | 1.84101i | −0.759166 | + | 0.650897i | ||||
\(3\) | 3.92169 | + | 1.18963i | 0.754731 | + | 0.228945i | 0.644126 | − | 0.764919i | \(-0.277221\pi\) |
0.110605 | + | 0.993864i | \(0.464721\pi\) | |||||||
\(4\) | 1.22134 | − | 7.90622i | 0.152667 | − | 0.988278i | ||||
\(5\) | −5.31043 | − | 0.523032i | −0.474980 | − | 0.0467814i | −0.142305 | − | 0.989823i | \(-0.545451\pi\) |
−0.332675 | + | 0.943042i | \(0.607951\pi\) | |||||||
\(6\) | −10.6110 | + | 4.66546i | −0.721986 | + | 0.317444i | ||||
\(7\) | −0.627511 | − | 0.939136i | −0.0338824 | − | 0.0507086i | 0.814142 | − | 0.580666i | \(-0.197208\pi\) |
−0.848024 | + | 0.529958i | \(0.822208\pi\) | |||||||
\(8\) | 11.9329 | + | 19.2251i | 0.527366 | + | 0.849638i | ||||
\(9\) | −8.48522 | − | 5.66964i | −0.314267 | − | 0.209987i | ||||
\(10\) | 12.3657 | − | 8.65350i | 0.391038 | − | 0.273648i | ||||
\(11\) | −31.5877 | + | 59.0965i | −0.865823 | + | 1.61984i | −0.0838934 | + | 0.996475i | \(0.526736\pi\) |
−0.781930 | + | 0.623367i | \(0.785764\pi\) | |||||||
\(12\) | 14.1952 | − | 29.5528i | 0.341484 | − | 0.710931i | ||||
\(13\) | 6.94021 | + | 70.4651i | 0.148067 | + | 1.50335i | 0.726245 | + | 0.687436i | \(0.241264\pi\) |
−0.578178 | + | 0.815911i | \(0.696236\pi\) | |||||||
\(14\) | 3.07638 | + | 0.861302i | 0.0587284 | + | 0.0164423i | ||||
\(15\) | −20.2037 | − | 8.36864i | −0.347771 | − | 0.144052i | ||||
\(16\) | −61.0167 | − | 19.3124i | −0.953385 | − | 0.301756i | ||||
\(17\) | 60.8570 | − | 25.2078i | 0.868235 | − | 0.359635i | 0.0963124 | − | 0.995351i | \(-0.469295\pi\) |
0.771923 | + | 0.635716i | \(0.219295\pi\) | |||||||
\(18\) | 28.6577 | − | 3.44728i | 0.375261 | − | 0.0451406i | ||||
\(19\) | −20.3907 | + | 24.8461i | −0.246208 | + | 0.300005i | −0.881421 | − | 0.472332i | \(-0.843412\pi\) |
0.635213 | + | 0.772337i | \(0.280912\pi\) | |||||||
\(20\) | −10.6210 | + | 41.3467i | −0.118747 | + | 0.462270i | ||||
\(21\) | −1.34368 | − | 4.42951i | −0.0139626 | − | 0.0460285i | ||||
\(22\) | −40.9707 | − | 185.048i | −0.397045 | − | 1.79329i | ||||
\(23\) | 34.8546 | + | 175.226i | 0.315987 | + | 1.58857i | 0.733362 | + | 0.679838i | \(0.237950\pi\) |
−0.417375 | + | 0.908734i | \(0.637050\pi\) | |||||||
\(24\) | 23.9265 | + | 89.5908i | 0.203499 | + | 0.761986i | ||||
\(25\) | −94.6710 | − | 18.8312i | −0.757368 | − | 0.150650i | ||||
\(26\) | −144.630 | − | 138.529i | −1.09093 | − | 1.04491i | ||||
\(27\) | −96.7275 | − | 117.863i | −0.689452 | − | 0.840100i | ||||
\(28\) | −8.19142 | + | 3.81423i | −0.0552869 | + | 0.0257437i | ||||
\(29\) | −145.489 | + | 77.7653i | −0.931606 | + | 0.497954i | −0.866085 | − | 0.499897i | \(-0.833371\pi\) |
−0.0655213 | + | 0.997851i | \(0.520871\pi\) | |||||||
\(30\) | 58.7891 | − | 19.2257i | 0.357779 | − | 0.117004i | ||||
\(31\) | −155.257 | − | 155.257i | −0.899515 | − | 0.899515i | 0.0958784 | − | 0.995393i | \(-0.469434\pi\) |
−0.995393 | + | 0.0958784i | \(0.969434\pi\) | |||||||
\(32\) | 166.572 | − | 70.8641i | 0.920190 | − | 0.391472i | ||||
\(33\) | −194.180 | + | 194.180i | −1.02432 | + | 1.02432i | ||||
\(34\) | −84.2672 | + | 166.166i | −0.425050 | + | 0.838154i | ||||
\(35\) | 2.84116 | + | 5.31543i | 0.0137212 | + | 0.0256706i | ||||
\(36\) | −55.1888 | + | 60.1614i | −0.255504 | + | 0.278525i | ||||
\(37\) | −31.7806 | + | 26.0816i | −0.141208 | + | 0.115886i | −0.702346 | − | 0.711836i | \(-0.747864\pi\) |
0.561138 | + | 0.827723i | \(0.310364\pi\) | |||||||
\(38\) | −1.95820 | − | 90.8903i | −0.00835954 | − | 0.388009i | ||||
\(39\) | −56.6103 | + | 284.599i | −0.232433 | + | 1.16852i | ||||
\(40\) | −53.3137 | − | 108.335i | −0.210741 | − | 0.428232i | ||||
\(41\) | 144.356 | − | 28.7143i | 0.549870 | − | 0.109376i | 0.0876668 | − | 0.996150i | \(-0.472059\pi\) |
0.462204 | + | 0.886774i | \(0.347059\pi\) | |||||||
\(42\) | 11.0400 | + | 7.03753i | 0.0405597 | + | 0.0258551i | ||||
\(43\) | 525.759 | − | 159.487i | 1.86459 | − | 0.565618i | 0.866843 | − | 0.498582i | \(-0.166146\pi\) |
0.997751 | − | 0.0670361i | \(-0.0213543\pi\) | |||||||
\(44\) | 428.650 | + | 321.916i | 1.46867 | + | 1.10297i | ||||
\(45\) | 42.0948 | + | 34.5463i | 0.139447 | + | 0.114441i | ||||
\(46\) | −397.435 | − | 312.086i | −1.27388 | − | 1.00032i | ||||
\(47\) | 167.389 | + | 404.114i | 0.519495 | + | 1.25417i | 0.938214 | + | 0.346056i | \(0.112479\pi\) |
−0.418719 | + | 0.908116i | \(0.637521\pi\) | |||||||
\(48\) | −216.314 | − | 148.325i | −0.650464 | − | 0.446017i | ||||
\(49\) | 130.772 | − | 315.712i | 0.381260 | − | 0.920443i | ||||
\(50\) | 237.951 | − | 133.855i | 0.673026 | − | 0.378600i | ||||
\(51\) | 268.651 | − | 26.4598i | 0.737620 | − | 0.0726492i | ||||
\(52\) | 565.589 | + | 31.1910i | 1.50833 | + | 0.0831811i | ||||
\(53\) | −266.715 | − | 142.562i | −0.691247 | − | 0.369479i | 0.0880655 | − | 0.996115i | \(-0.471932\pi\) |
−0.779313 | + | 0.626635i | \(0.784432\pi\) | |||||||
\(54\) | 424.685 | + | 75.0039i | 1.07023 | + | 0.189014i | ||||
\(55\) | 198.654 | − | 297.306i | 0.487027 | − | 0.728887i | ||||
\(56\) | 10.5670 | − | 23.2706i | 0.0252155 | − | 0.0555298i | ||||
\(57\) | −109.524 | + | 73.1815i | −0.254505 | + | 0.170055i | ||||
\(58\) | 169.233 | − | 434.828i | 0.383128 | − | 0.984409i | ||||
\(59\) | 12.3285 | − | 125.173i | 0.0272039 | − | 0.276206i | −0.971954 | − | 0.235172i | \(-0.924435\pi\) |
0.999158 | − | 0.0410341i | \(-0.0130652\pi\) | |||||||
\(60\) | −90.8399 | + | 149.514i | −0.195456 | + | 0.321703i | ||||
\(61\) | −235.158 | + | 775.214i | −0.493590 | + | 1.62715i | 0.257024 | + | 0.966405i | \(0.417258\pi\) |
−0.750613 | + | 0.660742i | \(0.770242\pi\) | |||||||
\(62\) | 619.205 | + | 47.5449i | 1.26837 | + | 0.0973904i | ||||
\(63\) | 11.5265i | 0.0230509i | ||||||||
\(64\) | −227.210 | + | 458.824i | −0.443769 | + | 0.896141i | ||||
\(65\) | − | 377.830i | − | 0.720986i | ||||||
\(66\) | 59.4646 | − | 774.442i | 0.110903 | − | 1.44435i | ||||
\(67\) | 63.9047 | − | 210.665i | 0.116525 | − | 0.384133i | −0.879205 | − | 0.476444i | \(-0.841926\pi\) |
0.995730 | + | 0.0923113i | \(0.0294255\pi\) | |||||||
\(68\) | −124.971 | − | 511.936i | −0.222868 | − | 0.912962i | ||||
\(69\) | −71.7655 | + | 728.648i | −0.125211 | + | 1.27129i | ||||
\(70\) | −15.8864 | − | 6.18293i | −0.0271256 | − | 0.0105572i | ||||
\(71\) | 657.579 | − | 439.380i | 1.09916 | − | 0.734434i | 0.132674 | − | 0.991160i | \(-0.457644\pi\) |
0.966484 | + | 0.256726i | \(0.0826437\pi\) | |||||||
\(72\) | 7.74588 | − | 230.785i | 0.0126786 | − | 0.377753i | ||||
\(73\) | −232.535 | + | 348.014i | −0.372824 | + | 0.557971i | −0.969680 | − | 0.244377i | \(-0.921416\pi\) |
0.596856 | + | 0.802349i | \(0.296416\pi\) | |||||||
\(74\) | 20.2241 | − | 114.512i | 0.0317703 | − | 0.179889i | ||||
\(75\) | −348.869 | − | 186.474i | −0.537118 | − | 0.287096i | ||||
\(76\) | 171.535 | + | 191.559i | 0.258900 | + | 0.289122i | ||||
\(77\) | 75.3213 | − | 7.41850i | 0.111476 | − | 0.0109794i | ||||
\(78\) | −402.394 | − | 715.325i | −0.584131 | − | 1.03839i | ||||
\(79\) | 130.419 | − | 314.859i | 0.185738 | − | 0.448411i | −0.803393 | − | 0.595449i | \(-0.796974\pi\) |
0.989131 | + | 0.147038i | \(0.0469741\pi\) | |||||||
\(80\) | 313.924 | + | 134.471i | 0.438722 | + | 0.187928i | ||||
\(81\) | −133.679 | − | 322.729i | −0.183373 | − | 0.442701i | ||||
\(82\) | −257.106 | + | 327.419i | −0.346251 | + | 0.440943i | ||||
\(83\) | 875.707 | + | 718.674i | 1.15809 | + | 0.950419i | 0.999319 | − | 0.0368968i | \(-0.0117473\pi\) |
0.158770 | + | 0.987316i | \(0.449247\pi\) | |||||||
\(84\) | −36.6618 | + | 5.21348i | −0.0476206 | + | 0.00677187i | ||||
\(85\) | −336.362 | + | 102.034i | −0.429218 | + | 0.130202i | ||||
\(86\) | −835.316 | + | 1310.39i | −1.04738 | + | 1.64306i | ||||
\(87\) | −663.074 | + | 131.894i | −0.817115 | + | 0.162534i | ||||
\(88\) | −1513.07 | + | 97.9172i | −1.83288 | + | 0.118614i | ||||
\(89\) | −170.685 | + | 858.094i | −0.203288 | + | 1.02200i | 0.735506 | + | 0.677518i | \(0.236944\pi\) |
−0.938794 | + | 0.344479i | \(0.888056\pi\) | |||||||
\(90\) | −153.988 | + | 3.31763i | −0.180353 | + | 0.00388565i | ||||
\(91\) | 61.8213 | − | 50.7354i | 0.0712157 | − | 0.0584453i | ||||
\(92\) | 1427.95 | − | 61.5579i | 1.61819 | − | 0.0697593i | ||||
\(93\) | −424.171 | − | 793.569i | −0.472952 | − | 0.884831i | ||||
\(94\) | −1103.41 | − | 559.566i | −1.21072 | − | 0.613988i | ||||
\(95\) | 121.279 | − | 121.279i | 0.130978 | − | 0.130978i | ||||
\(96\) | 737.547 | − | 79.7475i | 0.784121 | − | 0.0847833i | ||||
\(97\) | −764.616 | − | 764.616i | −0.800361 | − | 0.800361i | 0.182791 | − | 0.983152i | \(-0.441487\pi\) |
−0.983152 | + | 0.182791i | \(0.941487\pi\) | |||||||
\(98\) | 300.430 | + | 918.665i | 0.309673 | + | 0.946931i | ||||
\(99\) | 603.084 | − | 322.355i | 0.612245 | − | 0.327252i | ||||
\(100\) | −264.509 | + | 725.491i | −0.264509 | + | 0.725491i | ||||
\(101\) | 165.420 | + | 201.565i | 0.162970 | + | 0.198579i | 0.848092 | − | 0.529849i | \(-0.177751\pi\) |
−0.685122 | + | 0.728428i | \(0.740251\pi\) | |||||||
\(102\) | −528.147 | + | 551.405i | −0.512689 | + | 0.535267i | ||||
\(103\) | 126.295 | + | 25.1216i | 0.120817 | + | 0.0240321i | 0.255129 | − | 0.966907i | \(-0.417882\pi\) |
−0.134311 | + | 0.990939i | \(0.542882\pi\) | |||||||
\(104\) | −1271.88 | + | 974.282i | −1.19922 | + | 0.918618i | ||||
\(105\) | 4.81874 | + | 24.2254i | 0.00447867 | + | 0.0225158i | ||||
\(106\) | 835.161 | − | 184.910i | 0.765264 | − | 0.169434i | ||||
\(107\) | −174.275 | − | 574.507i | −0.157456 | − | 0.519063i | 0.842346 | − | 0.538936i | \(-0.181174\pi\) |
−0.999803 | + | 0.0198735i | \(0.993674\pi\) | |||||||
\(108\) | −1049.99 | + | 620.798i | −0.935509 | + | 0.553114i | ||||
\(109\) | −132.561 | + | 161.526i | −0.116486 | + | 0.141939i | −0.827989 | − | 0.560745i | \(-0.810515\pi\) |
0.711503 | + | 0.702683i | \(0.248015\pi\) | |||||||
\(110\) | 120.786 | + | 1004.11i | 0.104696 | + | 0.870351i | ||||
\(111\) | −155.661 | + | 64.4770i | −0.133105 | + | 0.0551341i | ||||
\(112\) | 20.1517 | + | 69.4217i | 0.0170014 | + | 0.0585690i | ||||
\(113\) | −1090.69 | − | 451.780i | −0.907999 | − | 0.376106i | −0.120709 | − | 0.992688i | \(-0.538517\pi\) |
−0.787290 | + | 0.616582i | \(0.788517\pi\) | |||||||
\(114\) | 100.447 | − | 358.773i | 0.0825236 | − | 0.294756i | ||||
\(115\) | −93.4444 | − | 948.757i | −0.0757716 | − | 0.769322i | ||||
\(116\) | 437.139 | + | 1245.24i | 0.349891 | + | 0.996707i | ||||
\(117\) | 340.623 | − | 637.260i | 0.269150 | − | 0.503545i | ||||
\(118\) | 203.973 | + | 291.474i | 0.159129 | + | 0.227393i | ||||
\(119\) | −61.8620 | − | 41.3349i | −0.0476545 | − | 0.0318417i | ||||
\(120\) | −80.2013 | − | 488.281i | −0.0610112 | − | 0.371448i | ||||
\(121\) | −1755.14 | − | 2626.76i | −1.31867 | − | 1.97352i | ||||
\(122\) | −922.235 | − | 2097.51i | −0.684387 | − | 1.55655i | ||||
\(123\) | 600.281 | + | 59.1225i | 0.440045 | + | 0.0433407i | ||||
\(124\) | −1417.12 | + | 1037.87i | −1.02630 | + | 0.751644i | ||||
\(125\) | 1131.19 | + | 343.143i | 0.809413 | + | 0.245533i | ||||
\(126\) | −21.2205 | − | 24.7503i | −0.0150038 | − | 0.0174995i | ||||
\(127\) | −638.211 | −0.445922 | −0.222961 | − | 0.974827i | \(-0.571572\pi\) | ||||
−0.222961 | + | 0.974827i | \(0.571572\pi\) | |||||||
\(128\) | −356.826 | − | 1403.51i | −0.246400 | − | 0.969168i | ||||
\(129\) | 2251.60 | 1.53676 | ||||||||
\(130\) | 695.591 | + | 811.295i | 0.469287 | + | 0.547348i | ||||
\(131\) | 1356.99 | + | 411.638i | 0.905044 | + | 0.274542i | 0.708299 | − | 0.705913i | \(-0.249463\pi\) |
0.196745 | + | 0.980455i | \(0.436963\pi\) | |||||||
\(132\) | 1298.07 | + | 1772.39i | 0.855930 | + | 1.16869i | ||||
\(133\) | 36.1293 | + | 3.55842i | 0.0235549 | + | 0.00231996i | ||||
\(134\) | 250.619 | + | 570.000i | 0.161568 | + | 0.367467i | ||||
\(135\) | 452.019 | + | 676.494i | 0.288175 | + | 0.431284i | ||||
\(136\) | 1210.83 | + | 869.180i | 0.763437 | + | 0.548026i | ||||
\(137\) | 1636.80 | + | 1093.67i | 1.02074 | + | 0.682035i | 0.948963 | − | 0.315386i | \(-0.102134\pi\) |
0.0717737 | + | 0.997421i | \(0.477134\pi\) | |||||||
\(138\) | −1187.35 | − | 1696.71i | −0.732421 | − | 1.04662i | ||||
\(139\) | 495.858 | − | 927.686i | 0.302577 | − | 0.566081i | −0.683980 | − | 0.729501i | \(-0.739752\pi\) |
0.986557 | + | 0.163420i | \(0.0522524\pi\) | |||||||
\(140\) | 45.4950 | − | 15.9709i | 0.0274645 | − | 0.00964132i | ||||
\(141\) | 175.703 | + | 1783.94i | 0.104942 | + | 1.06550i | ||||
\(142\) | −603.079 | + | 2154.07i | −0.356404 | + | 1.27300i | ||||
\(143\) | −4383.46 | − | 1815.69i | −2.56338 | − | 1.06179i | ||||
\(144\) | 408.245 | + | 509.812i | 0.236253 | + | 0.295030i | ||||
\(145\) | 813.282 | − | 336.872i | 0.465789 | − | 0.192936i | ||||
\(146\) | −141.387 | − | 1175.37i | −0.0801457 | − | 0.666263i | ||||
\(147\) | 888.430 | − | 1082.56i | 0.498479 | − | 0.607399i | ||||
\(148\) | 167.392 | + | 283.119i | 0.0929700 | + | 0.157245i | ||||
\(149\) | 53.3901 | + | 176.004i | 0.0293550 | + | 0.0967703i | 0.970394 | − | 0.241528i | \(-0.0776486\pi\) |
−0.941039 | + | 0.338299i | \(0.890149\pi\) | |||||||
\(150\) | 1092.41 | − | 241.866i | 0.594632 | − | 0.131655i | ||||
\(151\) | 298.674 | + | 1501.54i | 0.160965 | + | 0.809228i | 0.973918 | + | 0.226898i | \(0.0728585\pi\) |
−0.812953 | + | 0.582329i | \(0.802141\pi\) | |||||||
\(152\) | −720.990 | − | 95.5259i | −0.384737 | − | 0.0509748i | ||||
\(153\) | −659.304 | − | 131.144i | −0.348376 | − | 0.0692964i | ||||
\(154\) | −148.076 | + | 154.597i | −0.0774824 | + | 0.0808946i | ||||
\(155\) | 743.277 | + | 905.685i | 0.385171 | + | 0.469332i | ||||
\(156\) | 2180.96 | + | 795.165i | 1.11934 | + | 0.408104i | ||||
\(157\) | 4.44285 | − | 2.37475i | 0.00225846 | − | 0.00120717i | −0.470267 | − | 0.882524i | \(-0.655842\pi\) |
0.472526 | + | 0.881317i | \(0.343342\pi\) | |||||||
\(158\) | 299.618 | + | 916.184i | 0.150863 | + | 0.461314i | ||||
\(159\) | −876.377 | − | 876.377i | −0.437115 | − | 0.437115i | ||||
\(160\) | −921.634 | + | 289.196i | −0.455385 | + | 0.142894i | ||||
\(161\) | 142.690 | − | 142.690i | 0.0698479 | − | 0.0698479i | ||||
\(162\) | 881.189 | + | 446.874i | 0.427363 | + | 0.216727i | ||||
\(163\) | 1050.51 | + | 1965.36i | 0.504797 | + | 0.944409i | 0.997253 | + | 0.0740718i | \(0.0235994\pi\) |
−0.492456 | + | 0.870338i | \(0.663901\pi\) | |||||||
\(164\) | −50.7132 | − | 1176.38i | −0.0241466 | − | 0.560123i | ||||
\(165\) | 1132.75 | − | 929.620i | 0.534449 | − | 0.438611i | ||||
\(166\) | −3203.45 | + | 69.0174i | −1.49781 | + | 0.0322698i | ||||
\(167\) | 175.898 | − | 884.297i | 0.0815052 | − | 0.409754i | −0.918396 | − | 0.395664i | \(-0.870515\pi\) |
0.999901 | − | 0.0140907i | \(-0.00448536\pi\) | |||||||
\(168\) | 69.1239 | − | 78.6895i | 0.0317442 | − | 0.0361371i | ||||
\(169\) | −2762.38 | + | 549.472i | −1.25734 | + | 0.250101i | ||||
\(170\) | 534.405 | − | 838.339i | 0.241100 | − | 0.378222i | ||||
\(171\) | 313.888 | − | 95.2169i | 0.140372 | − | 0.0425814i | ||||
\(172\) | −618.811 | − | 4351.56i | −0.274325 | − | 1.92909i | ||||
\(173\) | −633.874 | − | 520.207i | −0.278570 | − | 0.228616i | 0.484725 | − | 0.874667i | \(-0.338920\pi\) |
−0.763295 | + | 0.646050i | \(0.776420\pi\) | |||||||
\(174\) | 1180.97 | − | 1503.94i | 0.514534 | − | 0.655248i | ||||
\(175\) | 41.7220 | + | 100.726i | 0.0180222 | + | 0.0435095i | ||||
\(176\) | 3068.67 | − | 2995.84i | 1.31426 | − | 1.28307i | ||||
\(177\) | 197.258 | − | 476.224i | 0.0837675 | − | 0.202233i | ||||
\(178\) | −1213.26 | − | 2156.77i | −0.510885 | − | 0.908185i | ||||
\(179\) | −1340.64 | + | 132.042i | −0.559800 | + | 0.0551355i | −0.373960 | − | 0.927445i | \(-0.622000\pi\) |
−0.185839 | + | 0.982580i | \(0.559500\pi\) | |||||||
\(180\) | 324.543 | − | 290.618i | 0.134389 | − | 0.120341i | ||||
\(181\) | 3005.27 | + | 1606.35i | 1.23415 | + | 0.659664i | 0.953860 | − | 0.300252i | \(-0.0970709\pi\) |
0.280286 | + | 0.959917i | \(0.409571\pi\) | |||||||
\(182\) | −39.3410 | + | 222.755i | −0.0160228 | + | 0.0907238i | ||||
\(183\) | −1844.44 | + | 2760.40i | −0.745054 | + | 1.11505i | ||||
\(184\) | −2952.82 | + | 2761.05i | −1.18307 | + | 1.10623i | ||||
\(185\) | 182.410 | − | 121.883i | 0.0724922 | − | 0.0484377i | ||||
\(186\) | 2371.77 | + | 923.083i | 0.934982 | + | 0.363891i | ||||
\(187\) | −432.642 | + | 4392.69i | −0.169187 | + | 1.71778i | ||||
\(188\) | 3399.45 | − | 829.858i | 1.31878 | − | 0.321934i | ||||
\(189\) | −49.9917 | + | 164.800i | −0.0192400 | + | 0.0634257i | ||||
\(190\) | −37.1396 | + | 483.691i | −0.0141810 | + | 0.184688i | ||||
\(191\) | 537.985i | 0.203808i | 0.994794 | + | 0.101904i | \(0.0324934\pi\) | ||||
−0.994794 | + | 0.101904i | \(0.967507\pi\) | |||||||
\(192\) | −1436.88 | + | 1529.07i | −0.540093 | + | 0.574746i | ||||
\(193\) | − | 4907.18i | − | 1.83019i | −0.403240 | − | 0.915094i | \(-0.632116\pi\) | ||
0.403240 | − | 0.915094i | \(-0.367884\pi\) | |||||||
\(194\) | 3049.49 | + | 234.151i | 1.12856 | + | 0.0866550i | ||||
\(195\) | 449.479 | − | 1481.74i | 0.165066 | − | 0.544150i | ||||
\(196\) | −2336.37 | − | 1419.51i | −0.851447 | − | 0.517313i | ||||
\(197\) | −143.298 | + | 1454.93i | −0.0518253 | + | 0.526191i | 0.933865 | + | 0.357625i | \(0.116414\pi\) |
−0.985690 | + | 0.168566i | \(0.946086\pi\) | |||||||
\(198\) | −701.511 | + | 1802.46i | −0.251789 | + | 0.646947i | ||||
\(199\) | 658.964 | − | 440.306i | 0.234737 | − | 0.156847i | −0.432639 | − | 0.901567i | \(-0.642417\pi\) |
0.667376 | + | 0.744721i | \(0.267417\pi\) | |||||||
\(200\) | −767.671 | − | 2044.77i | −0.271413 | − | 0.722936i | ||||
\(201\) | 501.229 | − | 750.143i | 0.175890 | − | 0.263239i | ||||
\(202\) | −726.283 | − | 128.269i | −0.252976 | − | 0.0446783i | ||||
\(203\) | 164.328 | + | 87.8351i | 0.0568156 | + | 0.0303686i | ||||
\(204\) | 118.917 | − | 2156.33i | 0.0408130 | − | 0.740065i | ||||
\(205\) | −781.614 | + | 76.9822i | −0.266294 | + | 0.0262277i | ||||
\(206\) | −317.435 | + | 178.568i | −0.107363 | + | 0.0603953i | ||||
\(207\) | 697.720 | − | 1684.44i | 0.234275 | − | 0.565589i | ||||
\(208\) | 937.379 | − | 4433.58i | 0.312479 | − | 1.47795i | ||||
\(209\) | −824.223 | − | 1989.85i | −0.272788 | − | 0.658568i | ||||
\(210\) | −54.9463 | − | 43.1466i | −0.0180555 | − | 0.0141781i | ||||
\(211\) | −1860.12 | − | 1526.56i | −0.606899 | − | 0.498069i | 0.280020 | − | 0.959994i | \(-0.409659\pi\) |
−0.886919 | + | 0.461925i | \(0.847159\pi\) | |||||||
\(212\) | −1452.88 | + | 1934.59i | −0.470679 | + | 0.626736i | ||||
\(213\) | 3101.52 | − | 940.837i | 0.997713 | − | 0.302653i | ||||
\(214\) | 1431.89 | + | 912.767i | 0.457392 | + | 0.291568i | ||||
\(215\) | −2875.43 | + | 571.958i | −0.912104 | + | 0.181429i | ||||
\(216\) | 1111.68 | − | 3266.05i | 0.350187 | − | 1.02883i | ||||
\(217\) | −48.3820 | + | 243.233i | −0.0151354 | + | 0.0760908i | ||||
\(218\) | −12.7304 | − | 590.881i | −0.00395509 | − | 0.183576i | ||||
\(219\) | −1325.94 | + | 1088.17i | −0.409127 | + | 0.335762i | ||||
\(220\) | −2107.95 | − | 1933.71i | −0.645990 | − | 0.592595i | ||||
\(221\) | 2198.63 | + | 4113.35i | 0.669212 | + | 1.25201i | ||||
\(222\) | 215.540 | − | 425.022i | 0.0651626 | − | 0.128494i | ||||
\(223\) | −1735.84 | + | 1735.84i | −0.521258 | + | 0.521258i | −0.917951 | − | 0.396693i | \(-0.870158\pi\) |
0.396693 | + | 0.917951i | \(0.370158\pi\) | |||||||
\(224\) | −171.077 | − | 111.966i | −0.0510293 | − | 0.0333975i | ||||
\(225\) | 696.538 | + | 696.538i | 0.206382 | + | 0.206382i | ||||
\(226\) | 3173.72 | − | 1037.90i | 0.934128 | − | 0.305487i | ||||
\(227\) | 2390.54 | − | 1277.77i | 0.698967 | − | 0.373606i | −0.0833207 | − | 0.996523i | \(-0.526553\pi\) |
0.782288 | + | 0.622917i | \(0.214053\pi\) | |||||||
\(228\) | 444.823 | + | 955.299i | 0.129207 | + | 0.277483i | ||||
\(229\) | 3910.47 | + | 4764.93i | 1.12843 | + | 1.37500i | 0.917612 | + | 0.397476i | \(0.130114\pi\) |
0.210822 | + | 0.977525i | \(0.432386\pi\) | |||||||
\(230\) | 1947.32 | + | 1865.18i | 0.558272 | + | 0.534724i | ||||
\(231\) | 304.212 | + | 60.5116i | 0.0866481 | + | 0.0172354i | ||||
\(232\) | −3231.16 | − | 1869.07i | −0.914378 | − | 0.528924i | ||||
\(233\) | 574.639 | + | 2888.91i | 0.161570 | + | 0.812268i | 0.973531 | + | 0.228556i | \(0.0734004\pi\) |
−0.811961 | + | 0.583712i | \(0.801600\pi\) | |||||||
\(234\) | 441.804 | + | 1995.45i | 0.123426 | + | 0.557463i | ||||
\(235\) | −677.546 | − | 2233.57i | −0.188078 | − | 0.620009i | ||||
\(236\) | −974.588 | − | 250.350i | −0.268815 | − | 0.0690526i | ||||
\(237\) | 886.031 | − | 1079.63i | 0.242843 | − | 0.295906i | ||||
\(238\) | 208.931 | − | 25.1326i | 0.0569033 | − | 0.00684498i | ||||
\(239\) | −3801.13 | + | 1574.48i | −1.02876 | + | 0.426128i | −0.832266 | − | 0.554377i | \(-0.812957\pi\) |
−0.196497 | + | 0.980504i | \(0.562957\pi\) | |||||||
\(240\) | 1071.14 | + | 900.807i | 0.288092 | + | 0.242279i | ||||
\(241\) | 1919.52 | + | 795.091i | 0.513058 | + | 0.212516i | 0.624165 | − | 0.781293i | \(-0.285439\pi\) |
−0.111106 | + | 0.993809i | \(0.535439\pi\) | |||||||
\(242\) | 8604.63 | + | 2409.06i | 2.28565 | + | 0.639917i | ||||
\(243\) | 263.195 | + | 2672.26i | 0.0694812 | + | 0.705455i | ||||
\(244\) | 5841.80 | + | 2806.01i | 1.53272 | + | 0.736216i | ||||
\(245\) | −859.585 | + | 1608.17i | −0.224150 | + | 0.419356i | ||||
\(246\) | −1397.80 | + | 978.175i | −0.362278 | + | 0.253521i | ||||
\(247\) | −1892.30 | − | 1264.39i | −0.487466 | − | 0.325715i | ||||
\(248\) | 1132.16 | − | 4837.50i | 0.289888 | − | 1.23864i | ||||
\(249\) | 2579.30 | + | 3860.19i | 0.656451 | + | 0.982449i | ||||
\(250\) | −3060.67 | + | 1345.72i | −0.774296 | + | 0.340444i | ||||
\(251\) | −2365.72 | − | 233.003i | −0.594911 | − | 0.0585936i | −0.203919 | − | 0.978988i | \(-0.565368\pi\) |
−0.390992 | + | 0.920394i | \(0.627868\pi\) | |||||||
\(252\) | 91.1313 | + | 14.0778i | 0.0227807 | + | 0.00351912i | ||||
\(253\) | −11456.2 | − | 3475.21i | −2.84682 | − | 0.863575i | ||||
\(254\) | 1370.40 | − | 1174.96i | 0.338529 | − | 0.290249i | ||||
\(255\) | −1440.49 | −0.353753 | ||||||||
\(256\) | 3350.07 | + | 2356.75i | 0.817887 | + | 0.575379i | ||||
\(257\) | −2908.24 | −0.705879 | −0.352939 | − | 0.935646i | \(-0.614818\pi\) | ||||
−0.352939 | + | 0.935646i | \(0.614818\pi\) | |||||||
\(258\) | −4834.74 | + | 4145.22i | −1.16666 | + | 1.00027i | ||||
\(259\) | 44.4369 | + | 13.4798i | 0.0106609 | + | 0.00323395i | ||||
\(260\) | −2987.21 | − | 461.459i | −0.712534 | − | 0.110071i | ||||
\(261\) | 1675.40 | + | 165.013i | 0.397337 | + | 0.0391343i | ||||
\(262\) | −3671.62 | + | 1614.35i | −0.865777 | + | 0.380667i | ||||
\(263\) | 2922.02 | + | 4373.12i | 0.685094 | + | 1.02532i | 0.997164 | + | 0.0752564i | \(0.0239775\pi\) |
−0.312070 | + | 0.950059i | \(0.601022\pi\) | |||||||
\(264\) | −6050.29 | − | 1416.00i | −1.41049 | − | 0.330108i | ||||
\(265\) | 1341.81 | + | 896.566i | 0.311043 | + | 0.207833i | ||||
\(266\) | −84.1296 | + | 58.8736i | −0.0193922 | + | 0.0135706i | ||||
\(267\) | −1690.19 | + | 3162.13i | −0.387409 | + | 0.724791i | ||||
\(268\) | −1587.52 | − | 762.539i | −0.361840 | − | 0.173804i | ||||
\(269\) | −801.802 | − | 8140.83i | −0.181735 | − | 1.84519i | −0.463982 | − | 0.885845i | \(-0.653580\pi\) |
0.282247 | − | 0.959342i | \(-0.408920\pi\) | |||||||
\(270\) | −2216.03 | − | 620.427i | −0.499494 | − | 0.139844i | ||||
\(271\) | 4017.90 | + | 1664.27i | 0.900627 | + | 0.373052i | 0.784461 | − | 0.620178i | \(-0.212940\pi\) |
0.116166 | + | 0.993230i | \(0.462940\pi\) | |||||||
\(272\) | −4200.11 | + | 362.803i | −0.936284 | + | 0.0808757i | ||||
\(273\) | 302.801 | − | 125.424i | 0.0671294 | − | 0.0278059i | ||||
\(274\) | −5528.07 | + | 664.979i | −1.21884 | + | 0.146616i | ||||
\(275\) | 4103.30 | − | 4999.89i | 0.899776 | − | 1.09638i | ||||
\(276\) | 5673.20 | + | 1457.32i | 1.23727 | + | 0.317827i | ||||
\(277\) | −393.153 | − | 1296.05i | −0.0852789 | − | 0.281127i | 0.903921 | − | 0.427699i | \(-0.140676\pi\) |
−0.989200 | + | 0.146573i | \(0.953176\pi\) | |||||||
\(278\) | 643.152 | + | 2904.85i | 0.138754 | + | 0.626696i | ||||
\(279\) | 437.138 | + | 2197.64i | 0.0938019 | + | 0.471574i | ||||
\(280\) | −68.2864 | + | 118.050i | −0.0145746 | + | 0.0251959i | ||||
\(281\) | −3243.44 | − | 645.160i | −0.688567 | − | 0.136965i | −0.161608 | − | 0.986855i | \(-0.551668\pi\) |
−0.526959 | + | 0.849890i | \(0.676668\pi\) | |||||||
\(282\) | −3661.54 | − | 3507.10i | −0.773197 | − | 0.740583i | ||||
\(283\) | −208.193 | − | 253.684i | −0.0437307 | − | 0.0532860i | 0.750686 | − | 0.660659i | \(-0.229723\pi\) |
−0.794417 | + | 0.607373i | \(0.792223\pi\) | |||||||
\(284\) | −2670.71 | − | 5735.60i | −0.558019 | − | 1.19840i | ||||
\(285\) | 619.895 | − | 331.341i | 0.128840 | − | 0.0688664i | ||||
\(286\) | 12755.1 | − | 4171.28i | 2.63715 | − | 0.862423i | ||||
\(287\) | −117.552 | − | 117.552i | −0.0241772 | − | 0.0241772i | ||||
\(288\) | −1815.17 | − | 343.107i | −0.371390 | − | 0.0702006i | ||||
\(289\) | −405.872 | + | 405.872i | −0.0826118 | + | 0.0826118i | ||||
\(290\) | −1126.13 | + | 2220.61i | −0.228030 | + | 0.449651i | ||||
\(291\) | −2088.98 | − | 3908.20i | −0.420818 | − | 0.787295i | ||||
\(292\) | 2467.47 | + | 2263.52i | 0.494512 | + | 0.453638i | ||||
\(293\) | −7314.58 | + | 6002.92i | −1.45844 | + | 1.19691i | −0.518727 | + | 0.854940i | \(0.673594\pi\) |
−0.939711 | + | 0.341969i | \(0.888906\pi\) | |||||||
\(294\) | 85.3197 | + | 3960.13i | 0.0169250 | + | 0.785576i | ||||
\(295\) | −130.939 | + | 658.275i | −0.0258426 | + | 0.129919i | ||||
\(296\) | −880.658 | − | 299.754i | −0.172930 | − | 0.0588610i | ||||
\(297\) | 10020.7 | − | 1993.24i | 1.95777 | − | 0.389425i | ||||
\(298\) | −438.667 | − | 279.631i | −0.0852728 | − | 0.0543577i | ||||
\(299\) | −12105.4 | + | 3672.14i | −2.34139 | + | 0.710252i | ||||
\(300\) | −1900.39 | + | 2530.48i | −0.365731 | + | 0.486992i | ||||
\(301\) | −479.700 | − | 393.679i | −0.0918586 | − | 0.0753864i | ||||
\(302\) | −3405.68 | − | 2674.31i | −0.648923 | − | 0.509567i | ||||
\(303\) | 408.940 | + | 987.268i | 0.0775346 | + | 0.187185i | ||||
\(304\) | 1724.01 | − | 1122.23i | 0.325259 | − | 0.211726i | ||||
\(305\) | 1654.26 | − | 3993.73i | 0.310565 | − | 0.749771i | ||||
\(306\) | 1657.13 | − | 932.190i | 0.309580 | − | 0.174149i | ||||
\(307\) | 7235.85 | − | 712.669i | 1.34518 | − | 0.132489i | 0.600349 | − | 0.799738i | \(-0.295028\pi\) |
0.744835 | + | 0.667249i | \(0.232528\pi\) | |||||||
\(308\) | 33.3406 | − | 604.567i | 0.00616803 | − | 0.111845i | ||||
\(309\) | 465.404 | + | 248.764i | 0.0856825 | + | 0.0457983i | ||||
\(310\) | −3263.38 | − | 576.348i | −0.597895 | − | 0.105595i | ||||
\(311\) | −297.792 | + | 445.677i | −0.0542965 | + | 0.0812605i | −0.857625 | − | 0.514276i | \(-0.828061\pi\) |
0.803328 | + | 0.595537i | \(0.203061\pi\) | |||||||
\(312\) | −6146.97 | + | 2307.76i | −1.11540 | + | 0.418755i | ||||
\(313\) | −4033.14 | + | 2694.86i | −0.728327 | + | 0.486653i | −0.863614 | − | 0.504154i | \(-0.831805\pi\) |
0.135287 | + | 0.990807i | \(0.456805\pi\) | |||||||
\(314\) | −5.16795 | + | 13.2785i | −0.000928803 | + | 0.00238647i | ||||
\(315\) | 6.02875 | − | 61.2109i | 0.00107835 | − | 0.0109487i | ||||
\(316\) | −2330.06 | − | 1415.67i | −0.414798 | − | 0.252018i | ||||
\(317\) | −2073.48 | + | 6835.34i | −0.367376 | + | 1.21107i | 0.557298 | + | 0.830313i | \(0.311838\pi\) |
−0.924673 | + | 0.380762i | \(0.875662\pi\) | |||||||
\(318\) | 3495.22 | + | 268.376i | 0.616359 | + | 0.0473264i | ||||
\(319\) | − | 11054.3i | − | 1.94019i | ||||||
\(320\) | 1446.56 | − | 2317.72i | 0.252704 | − | 0.404889i | ||||
\(321\) | − | 2460.37i | − | 0.427801i | ||||||
\(322\) | −43.6963 | + | 569.083i | −0.00756243 | + | 0.0984899i | ||||
\(323\) | −614.600 | + | 2026.07i | −0.105874 | + | 0.349019i | ||||
\(324\) | −2714.83 | + | 662.731i | −0.465506 | + | 0.113637i | ||||
\(325\) | 669.909 | − | 6801.70i | 0.114338 | − | 1.16089i | ||||
\(326\) | −5873.95 | − | 2286.11i | −0.997938 | − | 0.388393i | ||||
\(327\) | −712.019 | + | 475.756i | −0.120412 | + | 0.0804567i | ||||
\(328\) | 2274.63 | + | 2432.62i | 0.382913 | + | 0.409509i | ||||
\(329\) | 274.479 | − | 410.787i | 0.0459956 | − | 0.0688372i | ||||
\(330\) | −720.841 | + | 4081.52i | −0.120245 | + | 0.680850i | ||||
\(331\) | 5537.22 | + | 2959.71i | 0.919497 | + | 0.491481i | 0.862025 | − | 0.506866i | \(-0.169196\pi\) |
0.0574717 | + | 0.998347i | \(0.481696\pi\) | |||||||
\(332\) | 6751.53 | − | 6045.79i | 1.11608 | − | 0.999415i | ||||
\(333\) | 417.538 | − | 41.1239i | 0.0687116 | − | 0.00676750i | ||||
\(334\) | 1250.31 | + | 2222.63i | 0.204832 | + | 0.364123i | ||||
\(335\) | −449.546 | + | 1085.30i | −0.0733174 | + | 0.177004i | ||||
\(336\) | −3.55760 | + | 296.224i | −0.000577628 | + | 0.0480962i | ||||
\(337\) | 760.523 | + | 1836.06i | 0.122933 | + | 0.296786i | 0.973351 | − | 0.229322i | \(-0.0736509\pi\) |
−0.850418 | + | 0.526108i | \(0.823651\pi\) | |||||||
\(338\) | 4919.93 | − | 6265.43i | 0.791743 | − | 1.00827i | ||||
\(339\) | −3739.92 | − | 3069.27i | −0.599187 | − | 0.491740i | ||||
\(340\) | 395.893 | + | 2783.97i | 0.0631480 | + | 0.444064i | ||||
\(341\) | 14079.3 | − | 4270.92i | 2.23589 | − | 0.678250i | ||||
\(342\) | −498.699 | + | 782.326i | −0.0788496 | + | 0.123694i | ||||
\(343\) | −758.528 | + | 150.881i | −0.119407 | + | 0.0237516i | ||||
\(344\) | 9340.01 | + | 8204.62i | 1.46389 | + | 1.28594i | ||||
\(345\) | 762.212 | − | 3831.90i | 0.118945 | − | 0.597978i | ||||
\(346\) | 2318.79 | − | 49.9577i | 0.360286 | − | 0.00776226i | ||||
\(347\) | −5814.99 | + | 4772.24i | −0.899612 | + | 0.738292i | −0.965738 | − | 0.259519i | \(-0.916436\pi\) |
0.0661263 | + | 0.997811i | \(0.478936\pi\) | |||||||
\(348\) | 232.942 | + | 5403.50i | 0.0358822 | + | 0.832351i | ||||
\(349\) | 945.156 | + | 1768.26i | 0.144966 | + | 0.271212i | 0.943916 | − | 0.330185i | \(-0.107111\pi\) |
−0.798951 | + | 0.601397i | \(0.794611\pi\) | |||||||
\(350\) | −275.025 | − | 139.472i | −0.0420020 | − | 0.0213003i | ||||
\(351\) | 7633.90 | − | 7633.90i | 1.16088 | − | 1.16088i | ||||
\(352\) | −1073.82 | + | 12082.3i | −0.162599 | + | 1.82951i | ||||
\(353\) | 2877.29 | + | 2877.29i | 0.433833 | + | 0.433833i | 0.889930 | − | 0.456097i | \(-0.150753\pi\) |
−0.456097 | + | 0.889930i | \(0.650753\pi\) | |||||||
\(354\) | 453.172 | + | 1385.73i | 0.0680390 | + | 0.208052i | ||||
\(355\) | −3721.84 | + | 1989.36i | −0.556436 | + | 0.297421i | ||||
\(356\) | 6575.81 | + | 2397.50i | 0.978982 | + | 0.356931i | ||||
\(357\) | −193.431 | − | 235.696i | −0.0286763 | − | 0.0349421i | ||||
\(358\) | 2635.60 | − | 2751.66i | 0.389094 | − | 0.406229i | ||||
\(359\) | 3150.92 | + | 626.757i | 0.463229 | + | 0.0921419i | 0.421187 | − | 0.906974i | \(-0.361614\pi\) |
0.0420419 | + | 0.999116i | \(0.486614\pi\) | |||||||
\(360\) | −161.842 | + | 1221.52i | −0.0236939 | + | 0.178832i | ||||
\(361\) | 1136.57 | + | 5713.95i | 0.165706 | + | 0.833058i | ||||
\(362\) | −9410.38 | + | 2083.51i | −1.36630 | + | 0.302506i | ||||
\(363\) | −3758.26 | − | 12389.3i | −0.543409 | − | 1.79138i | ||||
\(364\) | −325.621 | − | 550.738i | −0.0468878 | − | 0.0793036i | ||||
\(365\) | 1416.88 | − | 1726.48i | 0.203187 | − | 0.247584i | ||||
\(366\) | −1121.46 | − | 9322.90i | −0.160164 | − | 1.33146i | ||||
\(367\) | 1272.55 | − | 527.106i | 0.180998 | − | 0.0749720i | −0.290344 | − | 0.956922i | \(-0.593770\pi\) |
0.471342 | + | 0.881950i | \(0.343770\pi\) | |||||||
\(368\) | 1257.32 | − | 11364.8i | 0.178104 | − | 1.60987i | ||||
\(369\) | −1387.70 | − | 574.802i | −0.195774 | − | 0.0810922i | ||||
\(370\) | −167.292 | + | 597.531i | −0.0235057 | + | 0.0839572i | ||||
\(371\) | 33.4812 | + | 339.941i | 0.00468533 | + | 0.0475710i | ||||
\(372\) | −6792.19 | + | 2384.38i | −0.946663 | + | 0.332323i | ||||
\(373\) | 2360.99 | − | 4417.09i | 0.327741 | − | 0.613159i | −0.663048 | − | 0.748577i | \(-0.730738\pi\) |
0.990789 | + | 0.135417i | \(0.0432375\pi\) | |||||||
\(374\) | −7158.01 | − | 10228.7i | −0.989658 | − | 1.41421i | ||||
\(375\) | 4027.97 | + | 2691.40i | 0.554675 | + | 0.370622i | ||||
\(376\) | −5771.69 | + | 8040.35i | −0.791628 | + | 1.10279i | ||||
\(377\) | −6489.47 | − | 9712.17i | −0.886537 | − | 1.32680i | ||||
\(378\) | −196.055 | − | 445.903i | −0.0266772 | − | 0.0606739i | ||||
\(379\) | 7517.82 | + | 740.440i | 1.01890 | + | 0.100353i | 0.593652 | − | 0.804722i | \(-0.297686\pi\) |
0.425251 | + | 0.905075i | \(0.360186\pi\) | |||||||
\(380\) | −810.734 | − | 1106.98i | −0.109447 | − | 0.149439i | ||||
\(381\) | −2502.87 | − | 759.237i | −0.336551 | − | 0.102092i | ||||
\(382\) | −990.438 | − | 1155.19i | −0.132658 | − | 0.154724i | ||||
\(383\) | 5257.69 | 0.701451 | 0.350725 | − | 0.936478i | \(-0.385935\pi\) | ||||
0.350725 | + | 0.936478i | \(0.385935\pi\) | |||||||
\(384\) | 270.294 | − | 5928.61i | 0.0359203 | − | 0.787873i | ||||
\(385\) | −403.869 | −0.0534625 | ||||||||
\(386\) | 9034.18 | + | 10536.9i | 1.19126 | + | 1.38942i | ||||
\(387\) | −5365.41 | − | 1627.58i | −0.704753 | − | 0.213784i | ||||
\(388\) | −6979.08 | + | 5111.37i | −0.913168 | + | 0.668790i | ||||
\(389\) | −3820.85 | − | 376.321i | −0.498008 | − | 0.0490495i | −0.154104 | − | 0.988055i | \(-0.549249\pi\) |
−0.343903 | + | 0.939005i | \(0.611749\pi\) | |||||||
\(390\) | 1762.75 | + | 4009.15i | 0.228873 | + | 0.520541i | ||||
\(391\) | 6538.22 | + | 9785.13i | 0.845657 | + | 1.26561i | ||||
\(392\) | 7630.10 | − | 1253.26i | 0.983107 | − | 0.161478i | ||||
\(393\) | 4832.00 | + | 3228.64i | 0.620209 | + | 0.414410i | ||||
\(394\) | −2370.85 | − | 3387.91i | −0.303152 | − | 0.433200i | ||||
\(395\) | −857.263 | + | 1603.83i | −0.109199 | + | 0.204297i | ||||
\(396\) | −1812.04 | − | 5161.82i | −0.229946 | − | 0.655029i | ||||
\(397\) | −305.601 | − | 3102.82i | −0.0386340 | − | 0.392257i | −0.994984 | − | 0.100034i | \(-0.968105\pi\) |
0.956350 | − | 0.292223i | \(-0.0943951\pi\) | |||||||
\(398\) | −604.350 | + | 2158.61i | −0.0761139 | + | 0.271862i | ||||
\(399\) | 137.455 | + | 56.9356i | 0.0172465 | + | 0.00714372i | ||||
\(400\) | 5412.83 | + | 2977.34i | 0.676604 | + | 0.372167i | ||||
\(401\) | −2783.55 | + | 1152.99i | −0.346643 | + | 0.143584i | −0.549211 | − | 0.835684i | \(-0.685072\pi\) |
0.202567 | + | 0.979268i | \(0.435072\pi\) | |||||||
\(402\) | 304.760 | + | 2533.51i | 0.0378110 | + | 0.314329i | ||||
\(403\) | 9862.68 | − | 12017.7i | 1.21909 | − | 1.48547i | ||||
\(404\) | 1795.66 | − | 1061.67i | 0.221132 | − | 0.130743i | ||||
\(405\) | 541.094 | + | 1783.75i | 0.0663881 | + | 0.218852i | ||||
\(406\) | −514.558 | + | 113.926i | −0.0628993 | + | 0.0139263i | ||||
\(407\) | −537.457 | − | 2701.98i | −0.0654564 | − | 0.329071i | ||||
\(408\) | 3714.49 | + | 4849.10i | 0.450722 | + | 0.588397i | ||||
\(409\) | 4562.93 | + | 907.623i | 0.551644 | + | 0.109729i | 0.463039 | − | 0.886338i | \(-0.346759\pi\) |
0.0886050 | + | 0.996067i | \(0.471759\pi\) | |||||||
\(410\) | 1536.59 | − | 1604.26i | 0.185090 | − | 0.193241i | ||||
\(411\) | 5117.95 | + | 6236.24i | 0.614233 | + | 0.748445i | ||||
\(412\) | 352.866 | − | 967.832i | 0.0421952 | − | 0.115732i | ||||
\(413\) | −125.291 | + | 66.9693i | −0.0149277 | + | 0.00797904i | ||||
\(414\) | 1602.91 | + | 4901.43i | 0.190287 | + | 0.581865i | ||||
\(415\) | −4274.50 | − | 4274.50i | −0.505607 | − | 0.505607i | ||||
\(416\) | 6149.49 | + | 11245.7i | 0.724768 | + | 1.32540i | ||||
\(417\) | 3048.21 | − | 3048.21i | 0.357965 | − | 0.357965i | ||||
\(418\) | 5433.15 | + | 2755.29i | 0.635751 | + | 0.322406i | ||||
\(419\) | 2368.58 | + | 4431.29i | 0.276164 | + | 0.516666i | 0.981319 | − | 0.192387i | \(-0.0616229\pi\) |
−0.705156 | + | 0.709053i | \(0.749123\pi\) | |||||||
\(420\) | 197.417 | − | 8.51053i | 0.0229356 | − | 0.000988741i | ||||
\(421\) | 7811.15 | − | 6410.45i | 0.904257 | − | 0.742105i | −0.0624343 | − | 0.998049i | \(-0.519886\pi\) |
0.966692 | + | 0.255944i | \(0.0823864\pi\) | |||||||
\(422\) | 6804.55 | − | 146.602i | 0.784929 | − | 0.0169111i | ||||
\(423\) | 870.845 | − | 4378.03i | 0.100099 | − | 0.503232i | ||||
\(424\) | −441.921 | − | 6828.81i | −0.0506169 | − | 0.782161i | ||||
\(425\) | −6236.09 | + | 1240.44i | −0.711753 | + | 0.141576i | ||||
\(426\) | −4927.64 | + | 7730.16i | −0.560435 | + | 0.879172i | ||||
\(427\) | 875.596 | − | 265.609i | 0.0992343 | − | 0.0301024i | ||||
\(428\) | −4755.03 | + | 676.187i | −0.537017 | + | 0.0763662i | ||||
\(429\) | −15030.6 | − | 12335.3i | −1.69157 | − | 1.38824i | ||||
\(430\) | 5121.27 | − | 6521.83i | 0.574347 | − | 0.731420i | ||||
\(431\) | −291.399 | − | 703.499i | −0.0325666 | − | 0.0786227i | 0.906760 | − | 0.421648i | \(-0.138548\pi\) |
−0.939326 | + | 0.343026i | \(0.888548\pi\) | |||||||
\(432\) | 3625.78 | + | 9059.63i | 0.403809 | + | 1.00898i | ||||
\(433\) | −2639.34 | + | 6371.92i | −0.292929 | + | 0.707194i | 0.707071 | + | 0.707143i | \(0.250016\pi\) |
−1.00000 | 5.10969e-5i | \(0.999984\pi\) | ||||||||
\(434\) | −343.907 | − | 611.353i | −0.0380370 | − | 0.0676172i | ||||
\(435\) | 3590.20 | − | 353.604i | 0.395717 | − | 0.0389747i | ||||
\(436\) | 1115.16 | + | 1245.33i | 0.122491 | + | 0.136790i | ||||
\(437\) | −5064.40 | − | 2706.98i | −0.554378 | − | 0.296321i | ||||
\(438\) | 843.784 | − | 4777.65i | 0.0920492 | − | 0.521198i | ||||
\(439\) | 4504.54 | − | 6741.52i | 0.489726 | − | 0.732927i | −0.501492 | − | 0.865162i | \(-0.667215\pi\) |
0.991218 | + | 0.132235i | \(0.0422153\pi\) | |||||||
\(440\) | 8086.27 | + | 271.402i | 0.876132 | + | 0.0294058i | ||||
\(441\) | −2899.60 | + | 1937.45i | −0.313098 | + | 0.209206i | ||||
\(442\) | −12293.7 | − | 4784.67i | −1.32297 | − | 0.514895i | ||||
\(443\) | 89.6936 | − | 910.674i | 0.00961957 | − | 0.0976692i | −0.989176 | − | 0.146734i | \(-0.953124\pi\) |
0.998796 | + | 0.0490645i | \(0.0156240\pi\) | |||||||
\(444\) | 319.654 | + | 1309.44i | 0.0341669 | + | 0.139962i | ||||
\(445\) | 1355.22 | − | 4467.58i | 0.144368 | − | 0.475918i | ||||
\(446\) | 531.573 | − | 6922.99i | 0.0564366 | − | 0.735007i | ||||
\(447\) | 753.747i | 0.0797562i | ||||||||
\(448\) | 573.475 | − | 74.5362i | 0.0604780 | − | 0.00786050i | ||||
\(449\) | − | 7697.08i | − | 0.809015i | −0.914535 | − | 0.404507i | \(-0.867443\pi\) | ||
0.914535 | − | 0.404507i | \(-0.132557\pi\) | |||||||
\(450\) | −2777.97 | − | 213.303i | −0.291011 | − | 0.0223449i | ||||
\(451\) | −2862.98 | + | 9437.97i | −0.298919 | + | 0.985403i | ||||
\(452\) | −4903.98 | + | 8071.49i | −0.510319 | + | 0.839936i | ||||
\(453\) | −614.969 | + | 6243.88i | −0.0637831 | + | 0.647601i | ||||
\(454\) | −2780.69 | + | 7144.70i | −0.287454 | + | 0.738584i | ||||
\(455\) | −354.834 | + | 237.093i | −0.0365602 | + | 0.0244287i | ||||
\(456\) | −2713.86 | − | 1232.34i | −0.278702 | − | 0.126556i | ||||
\(457\) | −4446.00 | + | 6653.91i | −0.455088 | + | 0.681087i | −0.986077 | − | 0.166292i | \(-0.946821\pi\) |
0.530989 | + | 0.847379i | \(0.321821\pi\) | |||||||
\(458\) | −17169.0 | − | 3032.24i | −1.75165 | − | 0.309361i | ||||
\(459\) | −8857.61 | − | 4734.49i | −0.900736 | − | 0.481453i | ||||
\(460\) | −7615.21 | − | 419.962i | −0.771871 | − | 0.0425670i | ||||
\(461\) | −12065.9 | + | 1188.38i | −1.21901 | + | 0.120062i | −0.686988 | − | 0.726669i | \(-0.741067\pi\) |
−0.532021 | + | 0.846731i | \(0.678567\pi\) | |||||||
\(462\) | −764.622 | + | 430.126i | −0.0769987 | + | 0.0433144i | ||||
\(463\) | 4868.85 | − | 11754.4i | 0.488714 | − | 1.17986i | −0.466653 | − | 0.884440i | \(-0.654540\pi\) |
0.955367 | − | 0.295420i | \(-0.0954597\pi\) | |||||||
\(464\) | 10379.1 | − | 1935.25i | 1.03844 | − | 0.193624i | ||||
\(465\) | 1837.47 | + | 4436.05i | 0.183249 | + | 0.442402i | ||||
\(466\) | −6552.41 | − | 5145.28i | −0.651361 | − | 0.511481i | ||||
\(467\) | −1841.00 | − | 1510.87i | −0.182423 | − | 0.149710i | 0.538750 | − | 0.842466i | \(-0.318897\pi\) |
−0.721173 | + | 0.692755i | \(0.756397\pi\) | |||||||
\(468\) | −4622.31 | − | 3471.35i | −0.456552 | − | 0.342870i | ||||
\(469\) | −237.944 | + | 72.1797i | −0.0234270 | + | 0.00710650i | ||||
\(470\) | 5566.89 | + | 3548.66i | 0.546344 | + | 0.348271i | ||||
\(471\) | 20.2486 | − | 4.02770i | 0.00198090 | − | 0.000394026i | ||||
\(472\) | 2553.58 | − | 1256.67i | 0.249021 | − | 0.122548i | ||||
\(473\) | −7182.40 | + | 36108.3i | −0.698196 | + | 3.51007i | ||||
\(474\) | 85.0893 | + | 3949.43i | 0.00824532 | + | 0.382707i | ||||
\(475\) | 2398.29 | − | 1968.23i | 0.231665 | − | 0.190123i | ||||
\(476\) | −402.357 | + | 438.611i | −0.0387437 | + | 0.0422346i | ||||
\(477\) | 1454.86 | + | 2721.85i | 0.139651 | + | 0.261268i | ||||
\(478\) | 5263.32 | − | 10378.7i | 0.503637 | − | 0.993120i | ||||
\(479\) | −680.258 | + | 680.258i | −0.0648889 | + | 0.0648889i | −0.738806 | − | 0.673918i | \(-0.764610\pi\) |
0.673918 | + | 0.738806i | \(0.264610\pi\) | |||||||
\(480\) | −3958.41 | + | 37.7331i | −0.376408 | + | 0.00358807i | ||||
\(481\) | −2058.41 | − | 2058.41i | −0.195126 | − | 0.195126i | ||||
\(482\) | −5585.45 | + | 1826.60i | −0.527822 | + | 0.172613i | ||||
\(483\) | 729.333 | − | 389.837i | 0.0687077 | − | 0.0367250i | ||||
\(484\) | −22911.4 | + | 10668.4i | −2.15171 | + | 1.00192i | ||||
\(485\) | 3660.52 | + | 4460.36i | 0.342713 | + | 0.417597i | ||||
\(486\) | −5484.81 | − | 5253.46i | −0.511926 | − | 0.490333i | ||||
\(487\) | 15232.0 | + | 3029.83i | 1.41730 | + | 0.281919i | 0.843525 | − | 0.537090i | \(-0.180477\pi\) |
0.573780 | + | 0.819010i | \(0.305477\pi\) | |||||||
\(488\) | −17709.7 | + | 4729.63i | −1.64279 | + | 0.438730i | ||||
\(489\) | 1781.71 | + | 8957.25i | 0.164768 | + | 0.828345i | ||||
\(490\) | −1114.92 | − | 5035.64i | −0.102790 | − | 0.464260i | ||||
\(491\) | −111.960 | − | 369.082i | −0.0102906 | − | 0.0339235i | 0.951645 | − | 0.307201i | \(-0.0993923\pi\) |
−0.961935 | + | 0.273277i | \(0.911892\pi\) | |||||||
\(492\) | 1200.58 | − | 4673.75i | 0.110013 | − | 0.428270i | ||||
\(493\) | −6893.72 | + | 8400.02i | −0.629771 | + | 0.767379i | ||||
\(494\) | 6391.00 | − | 768.783i | 0.582075 | − | 0.0700186i | ||||
\(495\) | −3371.24 | + | 1396.41i | −0.306113 | + | 0.126796i | ||||
\(496\) | 6474.88 | + | 12471.6i | 0.586150 | + | 1.12902i | ||||
\(497\) | −825.276 | − | 341.840i | −0.0744842 | − | 0.0308524i | ||||
\(498\) | −12645.1 | − | 3540.26i | −1.13783 | − | 0.318560i | ||||
\(499\) | 720.594 | + | 7316.31i | 0.0646457 | + | 0.656359i | 0.971839 | + | 0.235645i | \(0.0757203\pi\) |
−0.907193 | + | 0.420714i | \(0.861780\pi\) | |||||||
\(500\) | 4094.53 | − | 8524.34i | 0.366226 | − | 0.762440i | ||||
\(501\) | 1741.81 | − | 3258.69i | 0.155326 | − | 0.290594i | ||||
\(502\) | 5508.74 | − | 3855.00i | 0.489775 | − | 0.342743i | ||||
\(503\) | −4591.57 | − | 3067.99i | −0.407014 | − | 0.271958i | 0.335165 | − | 0.942159i | \(-0.391208\pi\) |
−0.742179 | + | 0.670201i | \(0.766208\pi\) | |||||||
\(504\) | −221.599 | + | 137.545i | −0.0195849 | + | 0.0121563i | ||||
\(505\) | −773.029 | − | 1156.92i | −0.0681175 | − | 0.101945i | ||||
\(506\) | 30997.2 | − | 13628.9i | 2.72331 | − | 1.19739i | ||||
\(507\) | −11486.9 | − | 1131.36i | −1.00621 | − | 0.0991035i | ||||
\(508\) | −779.472 | + | 5045.84i | −0.0680778 | + | 0.440695i | ||||
\(509\) | −3242.98 | − | 983.749i | −0.282402 | − | 0.0856658i | 0.145906 | − | 0.989298i | \(-0.453390\pi\) |
−0.428308 | + | 0.903633i | \(0.640890\pi\) | |||||||
\(510\) | 3093.09 | − | 2651.96i | 0.268557 | − | 0.230257i | ||||
\(511\) | 472.750 | 0.0409261 | ||||||||
\(512\) | −11532.2 | + | 1106.99i | −0.995424 | + | 0.0955516i | ||||
\(513\) | 4900.77 | 0.421782 | ||||||||
\(514\) | 6244.70 | − | 5354.10i | 0.535880 | − | 0.459454i | ||||
\(515\) | −657.540 | − | 199.463i | −0.0562615 | − | 0.0170667i | ||||
\(516\) | 2749.97 | − | 17801.6i | 0.234613 | − | 1.51875i | ||||
\(517\) | −29169.2 | − | 2872.91i | −2.48135 | − | 0.244392i | ||||
\(518\) | −120.233 | + | 52.8644i | −0.0101984 | + | 0.00448403i | ||||
\(519\) | −1867.01 | − | 2794.17i | −0.157905 | − | 0.236321i | ||||
\(520\) | 7263.83 | − | 4508.63i | 0.612577 | − | 0.380224i | ||||
\(521\) | −6739.43 | − | 4503.14i | −0.566718 | − | 0.378669i | 0.238954 | − | 0.971031i | \(-0.423195\pi\) |
−0.805672 | + | 0.592362i | \(0.798195\pi\) | |||||||
\(522\) | −3901.30 | + | 2730.12i | −0.327117 | + | 0.228916i | ||||
\(523\) | −7281.10 | + | 13622.0i | −0.608758 | + | 1.13891i | 0.369051 | + | 0.929409i | \(0.379683\pi\) |
−0.977809 | + | 0.209497i | \(0.932817\pi\) | |||||||
\(524\) | 4911.85 | − | 10225.9i | 0.409494 | − | 0.852521i | ||||
\(525\) | 43.7942 | + | 444.650i | 0.00364064 | + | 0.0369640i | ||||
\(526\) | −14325.3 | − | 4010.68i | −1.18747 | − | 0.332460i | ||||
\(527\) | −13362.2 | − | 5534.79i | −1.10449 | − | 0.457493i | ||||
\(528\) | 15598.3 | − | 8098.16i | 1.28566 | − | 0.667476i | ||||
\(529\) | −18248.5 | + | 7558.78i | −1.49984 | + | 0.621252i | ||||
\(530\) | −4531.78 | + | 545.134i | −0.371411 | + | 0.0446776i | ||||
\(531\) | −814.295 | + | 992.222i | −0.0665488 | + | 0.0810900i | ||||
\(532\) | 72.2598 | − | 281.300i | 0.00588883 | − | 0.0229246i | ||||
\(533\) | 3025.22 | + | 9972.81i | 0.245848 | + | 0.810451i | ||||
\(534\) | −2192.26 | − | 9901.54i | −0.177656 | − | 0.802400i | ||||
\(535\) | 624.990 | + | 3142.03i | 0.0505059 | + | 0.253910i | ||||
\(536\) | 4812.64 | − | 1285.28i | 0.387825 | − | 0.103574i | ||||
\(537\) | −5414.66 | − | 1077.04i | −0.435121 | − | 0.0865509i | ||||
\(538\) | 16709.0 | + | 16004.2i | 1.33899 | + | 1.28251i | ||||
\(539\) | 14526.7 | + | 17700.8i | 1.16087 | + | 1.41452i | ||||
\(540\) | 5900.58 | − | 2747.53i | 0.470223 | − | 0.218954i | ||||
\(541\) | 14490.9 | − | 7745.56i | 1.15160 | − | 0.615541i | 0.218738 | − | 0.975784i | \(-0.429806\pi\) |
0.932859 | + | 0.360243i | \(0.117306\pi\) | |||||||
\(542\) | −11691.4 | + | 3823.41i | −0.926544 | + | 0.303006i | ||||
\(543\) | 9874.80 | + | 9874.80i | 0.780420 | + | 0.780420i | ||||
\(544\) | 8350.76 | − | 8511.50i | 0.658154 | − | 0.670822i | ||||
\(545\) | 788.437 | − | 788.437i | 0.0619687 | − | 0.0619687i | ||||
\(546\) | −419.280 | + | 826.777i | −0.0328636 | + | 0.0648036i | ||||
\(547\) | 5598.89 | + | 10474.8i | 0.437644 | + | 0.818774i | 0.999967 | − | 0.00814360i | \(-0.00259222\pi\) |
−0.562323 | + | 0.826918i | \(0.690092\pi\) | |||||||
\(548\) | 10645.9 | − | 11605.1i | 0.829873 | − | 0.904647i | ||||
\(549\) | 6390.55 | − | 5244.59i | 0.496798 | − | 0.407712i | ||||
\(550\) | 394.058 | + | 18290.2i | 0.0305503 | + | 1.41800i | ||||
\(551\) | 1034.45 | − | 5200.52i | 0.0799799 | − | 0.402086i | ||||
\(552\) | −14864.7 | + | 7315.21i | −1.14617 | + | 0.564051i | ||||
\(553\) | −377.535 | + | 75.0964i | −0.0290315 | + | 0.00577473i | ||||
\(554\) | 3230.24 | + | 2059.14i | 0.247725 | + | 0.157914i | ||||
\(555\) | 860.352 | − | 260.985i | 0.0658016 | − | 0.0199607i | ||||
\(556\) | −6728.88 | − | 5053.39i | −0.513252 | − | 0.385452i | ||||
\(557\) | 5793.91 | + | 4754.94i | 0.440747 | + | 0.361711i | 0.828441 | − | 0.560077i | \(-0.189228\pi\) |
−0.387694 | + | 0.921788i | \(0.626728\pi\) | |||||||
\(558\) | −4984.52 | − | 3914.10i | −0.378157 | − | 0.296948i | ||||
\(559\) | 14887.2 | + | 35940.8i | 1.12640 | + | 2.71938i | ||||
\(560\) | −70.7044 | − | 379.199i | −0.00533537 | − | 0.0286144i | ||||
\(561\) | −6922.38 | + | 16712.1i | −0.520968 | + | 1.25773i | ||||
\(562\) | 8152.22 | − | 4585.90i | 0.611887 | − | 0.344207i | ||||
\(563\) | 5638.05 | − | 555.299i | 0.422052 | − | 0.0415685i | 0.115238 | − | 0.993338i | \(-0.463237\pi\) |
0.306814 | + | 0.951769i | \(0.400737\pi\) | |||||||
\(564\) | 14318.8 | + | 789.653i | 1.06903 | + | 0.0589546i | ||||
\(565\) | 5555.77 | + | 2969.62i | 0.413686 | + | 0.221120i | ||||
\(566\) | 914.077 | + | 161.436i | 0.0678825 | + | 0.0119888i | ||||
\(567\) | −219.201 | + | 328.058i | −0.0162356 | + | 0.0242983i | ||||
\(568\) | 16294.0 | + | 7398.93i | 1.20366 | + | 0.546571i | ||||
\(569\) | 10712.9 | − | 7158.12i | 0.789292 | − | 0.527388i | −0.0943566 | − | 0.995538i | \(-0.530079\pi\) |
0.883649 | + | 0.468150i | \(0.155079\pi\) | |||||||
\(570\) | −721.065 | + | 1852.71i | −0.0529861 | + | 0.136143i | ||||
\(571\) | −1.22805 | + | 12.4686i | −9.00042e−5 | + | 0.000913828i | −0.995230 | − | 0.0975602i | \(-0.968896\pi\) |
0.995140 | + | 0.0984740i | \(0.0313961\pi\) | |||||||
\(572\) | −19709.0 | + | 32439.1i | −1.44069 | + | 2.37123i | ||||
\(573\) | −640.005 | + | 2109.81i | −0.0466607 | + | 0.153820i | ||||
\(574\) | 468.827 | + | 35.9983i | 0.0340914 | + | 0.00261767i | ||||
\(575\) | − | 17245.2i | − | 1.25074i | ||||||
\(576\) | 4529.29 | − | 2605.03i | 0.327640 | − | 0.188442i | ||||
\(577\) | − | 23168.5i | − | 1.67161i | −0.549030 | − | 0.835803i | \(-0.685003\pi\) | ||
0.549030 | − | 0.835803i | \(-0.314997\pi\) | |||||||
\(578\) | 124.292 | − | 1618.72i | 0.00894437 | − | 0.116488i | ||||
\(579\) | 5837.74 | − | 19244.5i | 0.419012 | − | 1.38130i | ||||
\(580\) | −1670.09 | − | 6841.42i | −0.119564 | − | 0.489784i | ||||
\(581\) | 125.417 | − | 1273.38i | 0.00895558 | − | 0.0909275i | ||||
\(582\) | 11680.6 | + | 4546.04i | 0.831919 | + | 0.323779i | ||||
\(583\) | 16849.8 | − | 11258.7i | 1.19700 | − | 0.799807i | ||||
\(584\) | −9465.43 | − | 317.690i | −0.670689 | − | 0.0225105i | ||||
\(585\) | −2142.16 | + | 3205.97i | −0.151397 | + | 0.226582i | ||||
\(586\) | 4654.75 | − | 26356.0i | 0.328133 | − | 1.85795i | ||||
\(587\) | −15794.2 | − | 8442.20i | −1.11056 | − | 0.593606i | −0.189052 | − | 0.981967i | \(-0.560541\pi\) |
−0.921507 | + | 0.388361i | \(0.873041\pi\) | |||||||
\(588\) | −7473.85 | − | 8346.29i | −0.524177 | − | 0.585366i | ||||
\(589\) | 7023.32 | − | 691.737i | 0.491326 | − | 0.0483914i | ||||
\(590\) | −930.734 | − | 1654.54i | −0.0649453 | − | 0.115451i | ||||
\(591\) | −2292.81 | + | 5535.33i | −0.159583 | + | 0.385267i | ||||
\(592\) | 2442.84 | − | 977.656i | 0.169595 | − | 0.0678740i | ||||
\(593\) | 7955.63 | + | 19206.6i | 0.550925 | + | 1.33005i | 0.916785 | + | 0.399381i | \(0.130775\pi\) |
−0.365860 | + | 0.930670i | \(0.619225\pi\) | |||||||
\(594\) | −17847.3 | + | 22728.2i | −1.23280 | + | 1.56995i | ||||
\(595\) | 306.895 | + | 251.862i | 0.0211453 | + | 0.0173535i | ||||
\(596\) | 1456.73 | − | 207.154i | 0.100117 | − | 0.0142372i | ||||
\(597\) | 3108.06 | − | 942.820i | 0.213073 | − | 0.0646349i | ||||
\(598\) | 19232.9 | − | 30171.3i | 1.31520 | − | 2.06320i | ||||
\(599\) | 4366.07 | − | 868.465i | 0.297818 | − | 0.0592396i | −0.0439198 | − | 0.999035i | \(-0.513985\pi\) |
0.341738 | + | 0.939795i | \(0.388985\pi\) | |||||||
\(600\) | −578.042 | − | 8932.22i | −0.0393308 | − | 0.607761i | ||||
\(601\) | 3137.12 | − | 15771.4i | 0.212921 | − | 1.07043i | −0.715419 | − | 0.698696i | \(-0.753764\pi\) |
0.928340 | − | 0.371732i | \(-0.121236\pi\) | |||||||
\(602\) | 1754.80 | − | 37.8067i | 0.118805 | − | 0.00255961i | ||||
\(603\) | −1736.64 | + | 1425.23i | −0.117283 | + | 0.0962515i | ||||
\(604\) | 12236.3 | − | 527.498i | 0.824316 | − | 0.0355358i | ||||
\(605\) | 7946.70 | + | 14867.2i | 0.534015 | + | 0.999072i | ||||
\(606\) | −2695.67 | − | 1367.04i | −0.180700 | − | 0.0916376i | ||||
\(607\) | 4140.00 | − | 4140.00i | 0.276833 | − | 0.276833i | −0.555010 | − | 0.831843i | \(-0.687286\pi\) |
0.831843 | + | 0.555010i | \(0.187286\pi\) | |||||||
\(608\) | −1635.82 | + | 5583.64i | −0.109114 | + | 0.372445i | ||||
\(609\) | 539.953 | + | 539.953i | 0.0359277 | + | 0.0359277i | ||||
\(610\) | 3800.41 | + | 11621.0i | 0.252252 | + | 0.771346i | ||||
\(611\) | −27314.2 | + | 14599.8i | −1.80854 | + | 0.966682i | ||||
\(612\) | −1842.09 | + | 5052.43i | −0.121670 | + | 0.333713i | ||||
\(613\) | −16019.3 | − | 19519.6i | −1.05549 | − | 1.28611i | −0.956722 | − | 0.291002i | \(-0.906011\pi\) |
−0.0987635 | − | 0.995111i | \(-0.531489\pi\) | |||||||
\(614\) | −14225.1 | + | 14851.6i | −0.934982 | + | 0.976157i | ||||
\(615\) | −3156.83 | − | 627.933i | −0.206985 | − | 0.0411719i | ||||
\(616\) | 1041.43 | + | 1359.54i | 0.0681173 | + | 0.0889241i | ||||
\(617\) | 1254.40 | + | 6306.28i | 0.0818478 | + | 0.411477i | 0.999888 | + | 0.0149886i | \(0.00477119\pi\) |
−0.918040 | + | 0.396488i | \(0.870229\pi\) | |||||||
\(618\) | −1457.31 | + | 322.658i | −0.0948572 | + | 0.0210020i | ||||
\(619\) | −5098.85 | − | 16808.7i | −0.331083 | − | 1.09143i | −0.951625 | − | 0.307261i | \(-0.900588\pi\) |
0.620543 | − | 0.784173i | \(-0.286912\pi\) | |||||||
\(620\) | 8068.34 | − | 4770.36i | 0.522633 | − | 0.309004i | ||||
\(621\) | 17281.2 | − | 21057.2i | 1.11670 | − | 1.36071i | ||||
\(622\) | −181.065 | − | 1505.22i | −0.0116721 | − | 0.0970316i | ||||
\(623\) | 912.974 | − | 378.166i | 0.0587119 | − | 0.0243193i | ||||
\(624\) | 8950.45 | − | 16272.0i | 0.574206 | − | 1.04391i | ||||
\(625\) | 5319.64 | + | 2203.47i | 0.340457 | + | 0.141022i | ||||
\(626\) | 3698.88 | − | 13211.6i | 0.236161 | − | 0.843516i | ||||
\(627\) | −865.159 | − | 8784.10i | −0.0551054 | − | 0.559495i | ||||
\(628\) | −13.3491 | − | 38.0265i | −0.000848228 | − | 0.00241628i | ||||
\(629\) | −1276.61 | + | 2388.37i | −0.0809249 | + | 0.151400i | ||||
\(630\) | 99.7449 | + | 142.534i | 0.00630783 | + | 0.00901379i | ||||
\(631\) | −10740.3 | − | 7176.41i | −0.677596 | − | 0.452755i | 0.168559 | − | 0.985692i | \(-0.446089\pi\) |
−0.846155 | + | 0.532936i | \(0.821089\pi\) | |||||||
\(632\) | 7609.49 | − | 1249.88i | 0.478939 | − | 0.0786669i | ||||
\(633\) | −5478.77 | − | 8199.55i | −0.344015 | − | 0.514855i | ||||
\(634\) | −8131.68 | − | 18494.5i | −0.509385 | − | 1.15853i | ||||
\(635\) | 3389.18 | + | 333.805i | 0.211804 | + | 0.0208609i | ||||
\(636\) | −7999.19 | + | 5858.48i | −0.498724 | + | 0.365258i | ||||
\(637\) | 23154.3 | + | 7023.77i | 1.44020 | + | 0.436879i | ||||
\(638\) | 20351.1 | + | 23736.3i | 1.26287 | + | 1.47293i | ||||
\(639\) | −8070.83 | −0.499651 | ||||||||
\(640\) | 1160.82 | + | 7639.85i | 0.0716961 | + | 0.471862i | ||||
\(641\) | 31893.7 | 1.96525 | 0.982624 | − | 0.185608i | \(-0.0594254\pi\) | ||||
0.982624 | + | 0.185608i | \(0.0594254\pi\) | |||||||
\(642\) | 4529.57 | + | 5283.01i | 0.278454 | + | 0.324772i | ||||
\(643\) | −17373.9 | − | 5270.33i | −1.06557 | − | 0.323237i | −0.291653 | − | 0.956524i | \(-0.594205\pi\) |
−0.773917 | + | 0.633287i | \(0.781705\pi\) | |||||||
\(644\) | −953.863 | − | 1302.41i | −0.0583656 | − | 0.0796926i | ||||
\(645\) | −11957.0 | − | 1177.66i | −0.729930 | − | 0.0718918i | ||||
\(646\) | −2410.31 | − | 5481.95i | −0.146800 | − | 0.333877i | ||||
\(647\) | 7348.97 | + | 10998.5i | 0.446550 | + | 0.668309i | 0.984644 | − | 0.174576i | \(-0.0558554\pi\) |
−0.538094 | + | 0.842885i | \(0.680855\pi\) | |||||||
\(648\) | 4609.32 | − | 6421.09i | 0.279431 | − | 0.389266i | ||||
\(649\) | 7007.85 | + | 4682.50i | 0.423856 | + | 0.283211i | ||||
\(650\) | 11083.6 | + | 15838.2i | 0.668820 | + | 0.955733i | ||||
\(651\) | −479.097 | + | 896.328i | −0.0288438 | + | 0.0539629i | ||||
\(652\) | 16821.6 | − | 5905.16i | 1.01040 | − | 0.354699i | ||||
\(653\) | −2599.74 | − | 26395.6i | −0.155798 | − | 1.58184i | −0.681917 | − | 0.731429i | \(-0.738854\pi\) |
0.526120 | − | 0.850410i | \(-0.323646\pi\) | |||||||
\(654\) | 653.007 | − | 2332.40i | 0.0390437 | − | 0.139456i | ||||
\(655\) | −6990.90 | − | 2895.73i | −0.417034 | − | 0.172741i | ||||
\(656\) | −9362.69 | − | 1035.81i | −0.557243 | − | 0.0616490i | ||||
\(657\) | 3946.22 | − | 1634.58i | 0.234333 | − | 0.0970639i | ||||
\(658\) | 166.890 | + | 1387.38i | 0.00988762 | + | 0.0821973i | ||||
\(659\) | −15238.1 | + | 18567.6i | −0.900745 | + | 1.09756i | 0.0940399 | + | 0.995568i | \(0.470022\pi\) |
−0.994785 | + | 0.101993i | \(0.967478\pi\) | |||||||
\(660\) | −5966.31 | − | 10091.1i | −0.351876 | − | 0.595146i | ||||
\(661\) | 294.025 | + | 969.270i | 0.0173014 | + | 0.0570352i | 0.965166 | − | 0.261638i | \(-0.0842627\pi\) |
−0.947865 | + | 0.318673i | \(0.896763\pi\) | |||||||
\(662\) | −17338.6 | + | 3838.88i | −1.01795 | + | 0.225381i | ||||
\(663\) | 3728.98 | + | 18746.9i | 0.218434 | + | 1.09814i | ||||
\(664\) | −3366.83 | + | 25411.5i | −0.196775 | + | 1.48518i | ||||
\(665\) | −190.001 | − | 37.7935i | −0.0110796 | − | 0.00220386i | ||||
\(666\) | −820.848 | + | 856.997i | −0.0477586 | + | 0.0498618i | ||||
\(667\) | −18697.5 | − | 22782.9i | −1.08541 | − | 1.32258i | ||||
\(668\) | −6776.62 | − | 2470.71i | −0.392508 | − | 0.143106i | ||||
\(669\) | −8872.45 | + | 4742.43i | −0.512749 | + | 0.274070i | ||||
\(670\) | −1032.77 | − | 3158.03i | −0.0595511 | − | 0.182098i | ||||
\(671\) | −38384.3 | − | 38384.3i | −2.20836 | − | 2.20836i | ||||
\(672\) | −537.713 | − | 642.615i | −0.0308671 | − | 0.0368890i | ||||
\(673\) | −2455.27 | + | 2455.27i | −0.140630 | + | 0.140630i | −0.773917 | − | 0.633287i | \(-0.781705\pi\) |
0.633287 | + | 0.773917i | \(0.281705\pi\) | |||||||
\(674\) | −5013.25 | − | 2542.35i | −0.286503 | − | 0.145293i | ||||
\(675\) | 6937.79 | + | 12979.7i | 0.395608 | + | 0.740131i | ||||
\(676\) | 970.440 | + | 22511.1i | 0.0552139 | + | 1.28079i | ||||
\(677\) | −1887.55 | + | 1549.07i | −0.107155 | + | 0.0879402i | −0.686445 | − | 0.727181i | \(-0.740830\pi\) |
0.579290 | + | 0.815122i | \(0.303330\pi\) | |||||||
\(678\) | 13681.1 | − | 294.755i | 0.774955 | − | 0.0166962i | ||||
\(679\) | −238.274 | + | 1197.88i | −0.0134670 | + | 0.0677033i | ||||
\(680\) | −5975.40 | − | 5249.02i | −0.336980 | − | 0.296016i | ||||
\(681\) | 10895.0 | − | 2167.16i | 0.613067 | − | 0.121947i | ||||
\(682\) | −22369.0 | + | 35091.0i | −1.25594 | + | 1.97024i | ||||
\(683\) | 25983.0 | − | 7881.85i | 1.45565 | − | 0.441567i | 0.539360 | − | 0.842076i | \(-0.318666\pi\) |
0.916293 | + | 0.400508i | \(0.131166\pi\) | |||||||
\(684\) | −369.442 | − | 2597.96i | −0.0206520 | − | 0.145227i | ||||
\(685\) | −8120.07 | − | 6663.97i | −0.452923 | − | 0.371704i | ||||
\(686\) | 1350.97 | − | 1720.44i | 0.0751902 | − | 0.0957532i | ||||
\(687\) | 9667.17 | + | 23338.6i | 0.536864 | + | 1.29610i | ||||
\(688\) | −35160.1 | − | 422.268i | −1.94835 | − | 0.0233994i | ||||
\(689\) | 8194.59 | − | 19783.5i | 0.453105 | − | 1.09389i | ||||
\(690\) | 5417.92 | + | 9631.28i | 0.298923 | + | 0.531386i | ||||
\(691\) | 16965.6 | − | 1670.96i | 0.934010 | − | 0.0919919i | 0.380450 | − | 0.924801i | \(-0.375769\pi\) |
0.553560 | + | 0.832809i | \(0.313269\pi\) | |||||||
\(692\) | −4887.05 | + | 4376.20i | −0.268465 | + | 0.240402i | ||||
\(693\) | −681.177 | − | 364.097i | −0.0373388 | − | 0.0199580i | ||||
\(694\) | 3700.47 | − | 20952.7i | 0.202403 | − | 1.14604i | ||||
\(695\) | −3118.43 | + | 4667.06i | −0.170200 | + | 0.254722i | ||||
\(696\) | −10448.1 | − | 11173.8i | −0.569015 | − | 0.608537i | ||||
\(697\) | 8061.28 | − | 5386.37i | 0.438081 | − | 0.292717i | ||||
\(698\) | −5284.88 | − | 2056.85i | −0.286584 | − | 0.111537i | ||||
\(699\) | −1183.18 | + | 12013.0i | −0.0640228 | + | 0.650034i | ||||
\(700\) | 847.317 | − | 206.843i | 0.0457508 | − | 0.0111685i | ||||
\(701\) | −4905.01 | + | 16169.7i | −0.264279 | + | 0.871212i | 0.719906 | + | 0.694071i | \(0.244185\pi\) |
−0.984186 | + | 0.177141i | \(0.943315\pi\) | |||||||
\(702\) | −2337.76 | + | 30446.0i | −0.125688 | + | 1.63691i | ||||
\(703\) | − | 1321.45i | − | 0.0708951i | ||||||
\(704\) | −19937.8 | − | 27920.5i | −1.06738 | − | 1.49474i | ||||
\(705\) | − | 9565.41i | − | 0.510999i | ||||||
\(706\) | −11475.4 | − | 881.124i | −0.611731 | − | 0.0469710i | ||||
\(707\) | 85.4943 | − | 281.837i | 0.00454787 | − | 0.0149923i | ||||
\(708\) | −3524.21 | − | 2141.20i | −0.187073 | − | 0.113660i | ||||
\(709\) | −989.650 | + | 10048.1i | −0.0524219 | + | 0.532248i | 0.932732 | + | 0.360572i | \(0.117418\pi\) |
−0.985153 | + | 0.171676i | \(0.945082\pi\) | |||||||
\(710\) | 4329.26 | − | 11123.6i | 0.228837 | − | 0.587974i | ||||
\(711\) | −2891.77 | + | 1932.22i | −0.152532 | + | 0.101918i | ||||
\(712\) | −18533.7 | + | 6958.14i | −0.975535 | + | 0.366246i | ||||
\(713\) | 21793.6 | − | 32616.5i | 1.14471 | − | 1.71318i | ||||
\(714\) | 849.262 | + | 149.989i | 0.0445138 | + | 0.00786162i | ||||
\(715\) | 22328.4 | + | 11934.8i | 1.16788 | + | 0.624246i | ||||
\(716\) | −593.427 | + | 10760.7i | −0.0309740 | + | 0.561655i | ||||
\(717\) | −16779.9 | + | 1652.68i | −0.873999 | + | 0.0860813i | ||||
\(718\) | −7919.67 | + | 4455.08i | −0.411643 | + | 0.231563i | ||||
\(719\) | −12043.8 | + | 29076.3i | −0.624699 | + | 1.50816i | 0.221430 | + | 0.975176i | \(0.428928\pi\) |
−0.846128 | + | 0.532979i | \(0.821072\pi\) | |||||||
\(720\) | −1901.31 | − | 2920.85i | −0.0984135 | − | 0.151186i | ||||
\(721\) | −55.6587 | − | 134.372i | −0.00287495 | − | 0.00694074i | ||||
\(722\) | −12960.0 | − | 10176.8i | −0.668033 | − | 0.524573i | ||||
\(723\) | 6581.90 | + | 5401.63i | 0.338566 | + | 0.277854i | ||||
\(724\) | 16370.6 | − | 21798.5i | 0.840345 | − | 1.11897i | ||||
\(725\) | 15238.0 | − | 4622.39i | 0.780585 | − | 0.236788i | ||||
\(726\) | 30878.8 | + | 19683.9i | 1.57854 | + | 1.00625i | ||||
\(727\) | −3611.34 | + | 718.340i | −0.184233 | + | 0.0366461i | −0.286344 | − | 0.958127i | \(-0.592440\pi\) |
0.102112 | + | 0.994773i | \(0.467440\pi\) | |||||||
\(728\) | 1713.10 | + | 583.098i | 0.0872141 | + | 0.0296855i | ||||
\(729\) | −3986.86 | + | 20043.3i | −0.202553 | + | 1.01830i | ||||
\(730\) | 136.070 | + | 6315.68i | 0.00689885 | + | 0.320211i | ||||
\(731\) | 27975.8 | − | 22959.2i | 1.41549 | − | 1.16166i | ||||
\(732\) | 19571.6 | + | 17953.9i | 0.988236 | + | 0.906552i | ||||
\(733\) | 2375.80 | + | 4444.81i | 0.119717 | + | 0.223974i | 0.934641 | − | 0.355594i | \(-0.115721\pi\) |
−0.814924 | + | 0.579568i | \(0.803221\pi\) | |||||||
\(734\) | −1762.06 | + | 3474.60i | −0.0886089 | + | 0.174727i | ||||
\(735\) | −5284.16 | + | 5284.16i | −0.265183 | + | 0.265183i | ||||
\(736\) | 18223.0 | + | 26717.8i | 0.912650 | + | 1.33809i | ||||
\(737\) | 10431.0 | + | 10431.0i | 0.521344 | + | 0.521344i | ||||
\(738\) | 4037.94 | − | 1320.52i | 0.201407 | − | 0.0658660i | ||||
\(739\) | −29439.5 | + | 15735.7i | −1.46542 | + | 0.783286i | −0.995068 | − | 0.0991907i | \(-0.968375\pi\) |
−0.470356 | + | 0.882477i | \(0.655875\pi\) | |||||||
\(740\) | −740.845 | − | 1591.03i | −0.0368027 | − | 0.0790373i | ||||
\(741\) | −5916.86 | − | 7209.71i | −0.293335 | − | 0.357430i | ||||
\(742\) | −697.728 | − | 668.297i | −0.0345207 | − | 0.0330646i | ||||
\(743\) | −22152.1 | − | 4406.33i | −1.09379 | − | 0.217568i | −0.384948 | − | 0.922938i | \(-0.625780\pi\) |
−0.708838 | + | 0.705371i | \(0.750780\pi\) | |||||||
\(744\) | 10194.8 | − | 17624.3i | 0.502367 | − | 0.868468i | ||||
\(745\) | −191.469 | − | 962.580i | −0.00941595 | − | 0.0473372i | ||||
\(746\) | 3062.31 | + | 13831.2i | 0.150294 | + | 0.678815i | ||||
\(747\) | −3355.94 | − | 11063.1i | −0.164374 | − | 0.541869i | ||||
\(748\) | 34201.2 | + | 8785.53i | 1.67182 | + | 0.429453i | ||||
\(749\) | −430.181 | + | 524.178i | −0.0209860 | + | 0.0255715i | ||||
\(750\) | −13603.9 | + | 1636.44i | −0.662328 | + | 0.0796723i | ||||
\(751\) | 14376.6 | − | 5954.99i | 0.698548 | − | 0.289348i | −0.00500814 | − | 0.999987i | \(-0.501594\pi\) |
0.703557 | + | 0.710639i | \(0.251594\pi\) | |||||||
\(752\) | −2409.15 | − | 27890.4i | −0.116825 | − | 1.35247i | ||||
\(753\) | −9000.43 | − | 3728.10i | −0.435583 | − | 0.180424i | ||||
\(754\) | 31814.7 | + | 8907.24i | 1.53664 | + | 0.430216i | ||||
\(755\) | −800.738 | − | 8130.03i | −0.0385985 | − | 0.391897i | ||||
\(756\) | 1241.89 | + | 596.522i | 0.0597449 | + | 0.0286975i | ||||
\(757\) | 14032.9 | − | 26253.7i | 0.673759 | − | 1.26051i | −0.280017 | − | 0.959995i | \(-0.590340\pi\) |
0.953776 | − | 0.300519i | \(-0.0971598\pi\) | |||||||
\(758\) | −17505.8 | + | 12250.5i | −0.838837 | + | 0.587016i | ||||
\(759\) | −40793.6 | − | 27257.4i | −1.95087 | − | 1.30353i | ||||
\(760\) | 3778.81 | + | 884.385i | 0.180358 | + | 0.0422105i | ||||
\(761\) | −13045.5 | − | 19524.0i | −0.621418 | − | 0.930018i | −0.999990 | − | 0.00444602i | \(-0.998585\pi\) |
0.378572 | − | 0.925572i | \(-0.376415\pi\) | |||||||
\(762\) | 6772.04 | − | 2977.55i | 0.321949 | − | 0.141555i | ||||
\(763\) | 234.878 | + | 23.1334i | 0.0111444 | + | 0.00109762i | ||||
\(764\) | 4253.43 | + | 657.062i | 0.201418 | + | 0.0311148i | ||||
\(765\) | 3432.60 | + | 1041.27i | 0.162230 | + | 0.0492119i | ||||
\(766\) | −11289.6 | + | 9679.48i | −0.532518 | + | 0.456572i | ||||
\(767\) | 8905.89 | 0.419261 | ||||||||
\(768\) | 10334.3 | + | 13227.8i | 0.485554 | + | 0.621507i | ||||
\(769\) | −3153.43 | −0.147875 | −0.0739373 | − | 0.997263i | \(-0.523556\pi\) | ||||
−0.0739373 | + | 0.997263i | \(0.523556\pi\) | |||||||
\(770\) | 867.206 | − | 743.528i | 0.0405869 | − | 0.0347985i | ||||
\(771\) | −11405.2 | − | 3459.74i | −0.532748 | − | 0.161607i | ||||
\(772\) | −38797.2 | − | 5993.33i | −1.80873 | − | 0.279410i | ||||
\(773\) | 8858.43 | + | 872.479i | 0.412181 | + | 0.0405962i | 0.301983 | − | 0.953313i | \(-0.402352\pi\) |
0.110198 | + | 0.993910i | \(0.464852\pi\) | |||||||
\(774\) | 14517.3 | − | 6382.98i | 0.674176 | − | 0.296423i | ||||
\(775\) | 11774.6 | + | 17622.0i | 0.545752 | + | 0.816776i | ||||
\(776\) | 5575.71 | − | 23823.9i | 0.257933 | − | 1.10210i | ||||
\(777\) | 158.232 | + | 105.727i | 0.00730571 | + | 0.00488152i | ||||
\(778\) | 8897.13 | − | 6226.19i | 0.409997 | − | 0.286915i | ||||
\(779\) | −2230.09 | + | 4172.20i | −0.102569 | + | 0.191893i | ||||
\(780\) | −11166.0 | − | 5363.39i | −0.512571 | − | 0.246205i | ||||
\(781\) | 5194.40 | + | 52739.6i | 0.237990 | + | 2.41635i | ||||
\(782\) | −32053.7 | − | 8974.15i | −1.46578 | − | 0.410377i | ||||
\(783\) | 23238.4 | + | 9625.66i | 1.06063 | + | 0.439327i | ||||
\(784\) | −14076.4 | + | 16738.2i | −0.641237 | + | 0.762490i | ||||
\(785\) | −24.8355 | + | 10.2872i | −0.00112920 | + | 0.000467728i | ||||
\(786\) | −16319.5 | + | 1963.09i | −0.740580 | + | 0.0890854i | ||||
\(787\) | 16645.9 | − | 20283.1i | 0.753957 | − | 0.918699i | −0.244748 | − | 0.969587i | \(-0.578705\pi\) |
0.998704 | + | 0.0508878i | \(0.0162051\pi\) | |||||||
\(788\) | 11328.0 | + | 2909.92i | 0.512111 | + | 0.131550i | ||||
\(789\) | 6256.88 | + | 20626.2i | 0.282320 | + | 0.930686i | ||||
\(790\) | −1111.91 | − | 5022.04i | −0.0500759 | − | 0.226173i | ||||
\(791\) | 260.139 | + | 1307.81i | 0.0116934 | + | 0.0587867i | ||||
\(792\) | 13393.9 | + | 7747.72i | 0.600923 | + | 0.347605i | ||||
\(793\) | −56257.6 | − | 11190.3i | −2.51925 | − | 0.501110i | ||||
\(794\) | 6368.54 | + | 6099.91i | 0.284648 | + | 0.272642i | ||||
\(795\) | 4195.57 | + | 5112.32i | 0.187172 | + | 0.228069i | ||||
\(796\) | −2676.34 | − | 5747.68i | −0.119171 | − | 0.255931i | ||||
\(797\) | 23247.2 | − | 12425.9i | 1.03320 | − | 0.552255i | 0.134541 | − | 0.990908i | \(-0.457044\pi\) |
0.898657 | + | 0.438653i | \(0.144544\pi\) | |||||||
\(798\) | −399.968 | + | 130.801i | −0.0177428 | + | 0.00580239i | ||||
\(799\) | 20373.7 | + | 20373.7i | 0.902088 | + | 0.902088i | ||||
\(800\) | −17104.0 | + | 3572.02i | −0.755898 | + | 0.157862i | ||||
\(801\) | 6313.39 | − | 6313.39i | 0.278493 | − | 0.278493i | ||||
\(802\) | 3854.32 | − | 7600.30i | 0.169701 | − | 0.334634i | ||||
\(803\) | −13221.1 | − | 24735.0i | −0.581025 | − | 1.08702i | ||||
\(804\) | −5318.62 | − | 4879.01i | −0.233300 | − | 0.214017i | ||||
\(805\) | −832.374 | + | 683.112i | −0.0364439 | + | 0.0299087i | ||||
\(806\) | 947.155 | + | 43962.3i | 0.0413922 | + | 1.92122i | ||||
\(807\) | 6540.18 | − | 32879.7i | 0.285285 | − | 1.43423i | ||||
\(808\) | −1901.17 | + | 5585.50i | −0.0827757 | + | 0.243189i | ||||
\(809\) | 10276.4 | − | 2044.11i | 0.446600 | − | 0.0888343i | 0.0333333 | − | 0.999444i | \(-0.489388\pi\) |
0.413267 | + | 0.910610i | \(0.364388\pi\) | |||||||
\(810\) | −4445.76 | − | 2833.99i | −0.192850 | − | 0.122933i | ||||
\(811\) | −13951.7 | + | 4232.20i | −0.604082 | + | 0.183246i | −0.577487 | − | 0.816400i | \(-0.695967\pi\) |
−0.0265953 | + | 0.999646i | \(0.508467\pi\) | |||||||
\(812\) | 895.144 | − | 1191.94i | 0.0386865 | − | 0.0515133i | ||||
\(813\) | 13777.1 | + | 11306.6i | 0.594322 | + | 0.487748i | ||||
\(814\) | 6128.43 | + | 4812.35i | 0.263884 | + | 0.207215i | ||||
\(815\) | −4550.70 | − | 10986.4i | −0.195588 | − | 0.472190i | ||||
\(816\) | −16903.2 | − | 3573.79i | −0.725158 | − | 0.153318i | ||||
\(817\) | −6757.95 | + | 16315.1i | −0.289389 | + | 0.698646i | ||||
\(818\) | −11468.7 | + | 6451.52i | −0.490211 | + | 0.275761i | ||||
\(819\) | −812.219 | + | 79.9966i | −0.0346535 | + | 0.00341307i | ||||
\(820\) | −345.977 | + | 6273.63i | −0.0147342 | + | 0.267176i | ||||
\(821\) | −19984.1 | − | 10681.7i | −0.849513 | − | 0.454074i | −0.0116351 | − | 0.999932i | \(-0.503704\pi\) |
−0.837877 | + | 0.545858i | \(0.816204\pi\) | |||||||
\(822\) | −22470.5 | − | 3968.53i | −0.953465 | − | 0.168392i | ||||
\(823\) | 5913.14 | − | 8849.63i | 0.250448 | − | 0.374822i | −0.684849 | − | 0.728685i | \(-0.740132\pi\) |
0.935297 | + | 0.353862i | \(0.115132\pi\) | |||||||
\(824\) | 1024.10 | + | 2727.80i | 0.0432965 | + | 0.115325i | ||||
\(825\) | 22039.9 | − | 14726.6i | 0.930099 | − | 0.621472i | ||||
\(826\) | 145.739 | − | 374.462i | 0.00613911 | − | 0.0157738i | ||||
\(827\) | 1164.68 | − | 11825.2i | 0.0489719 | − | 0.497220i | −0.939146 | − | 0.343520i | \(-0.888381\pi\) |
0.988117 | − | 0.153701i | \(-0.0491192\pi\) | |||||||
\(828\) | −12465.4 | − | 7573.61i | −0.523193 | − | 0.317876i | ||||
\(829\) | −7056.95 | + | 23263.6i | −0.295655 | + | 0.974643i | 0.675733 | + | 0.737146i | \(0.263827\pi\) |
−0.971388 | + | 0.237497i | \(0.923673\pi\) | |||||||
\(830\) | 17047.8 | + | 1308.99i | 0.712937 | + | 0.0547420i | ||||
\(831\) | − | 5550.42i | − | 0.231699i | ||||||
\(832\) | −33908.0 | − | 12826.0i | −1.41292 | − | 0.534450i | ||||
\(833\) | − | 22509.8i | − | 0.936276i | ||||||
\(834\) | −933.465 | + | 12157.1i | −0.0387569 | + | 0.504754i | ||||
\(835\) | −1396.61 | + | 4604.00i | −0.0578822 | + | 0.190812i | ||||
\(836\) | −16738.8 | + | 4086.20i | −0.692494 | + | 0.169048i | ||||
\(837\) | −3281.40 | + | 33316.6i | −0.135510 | + | 1.37585i | ||||
\(838\) | −13244.0 | − | 5154.50i | −0.545950 | − | 0.212481i | ||||
\(839\) | −36912.5 | + | 24664.1i | −1.51890 | + | 1.01490i | −0.533281 | + | 0.845938i | \(0.679041\pi\) |
−0.985623 | + | 0.168961i | \(0.945959\pi\) | |||||||
\(840\) | −408.235 | + | 381.721i | −0.0167684 | + | 0.0156793i | ||||
\(841\) | 1569.71 | − | 2349.24i | 0.0643615 | − | 0.0963238i | ||||
\(842\) | −4970.76 | + | 28145.3i | −0.203448 | + | 1.15196i | ||||
\(843\) | −11952.3 | − | 6388.63i | −0.488325 | − | 0.261015i | ||||
\(844\) | −14341.1 | + | 12842.1i | −0.584885 | + | 0.523746i | ||||
\(845\) | 14956.8 | − | 1473.12i | 0.608912 | − | 0.0599726i | ||||
\(846\) | 6190.10 | + | 11004.0i | 0.251560 | + | 0.447191i | ||||
\(847\) | −1365.51 | + | 3296.64i | −0.0553950 | + | 0.133735i | ||||
\(848\) | 13520.8 | + | 13849.5i | 0.547532 | + | 0.560844i | ||||
\(849\) | −514.678 | − | 1242.54i | −0.0208053 | − | 0.0502285i | ||||
\(850\) | 11106.8 | − | 14144.2i | 0.448187 | − | 0.570757i | ||||
\(851\) | −5677.88 | − | 4659.72i | −0.228714 | − | 0.187700i | ||||
\(852\) | −3650.45 | − | 25670.4i | −0.146787 | − | 1.03222i | ||||
\(853\) | −10944.8 | + | 3320.06i | −0.439322 | + | 0.133267i | −0.502195 | − | 0.864755i | \(-0.667474\pi\) |
0.0628725 | + | 0.998022i | \(0.479974\pi\) | |||||||
\(854\) | −1391.13 | + | 2182.31i | −0.0557418 | + | 0.0874440i | ||||
\(855\) | −1716.68 | + | 341.469i | −0.0686658 | + | 0.0136585i | ||||
\(856\) | 8965.36 | − | 10206.0i | 0.357979 | − | 0.407517i | ||||
\(857\) | 7929.50 | − | 39864.3i | 0.316064 | − | 1.58896i | −0.417069 | − | 0.908875i | \(-0.636943\pi\) |
0.733133 | − | 0.680085i | \(-0.238057\pi\) | |||||||
\(858\) | 54983.9 | − | 1184.61i | 2.18778 | − | 0.0471352i | ||||
\(859\) | 11577.8 | − | 9501.62i | 0.459870 | − | 0.377405i | −0.375743 | − | 0.926724i | \(-0.622613\pi\) |
0.835613 | + | 0.549318i | \(0.185113\pi\) | |||||||
\(860\) | 1010.15 | + | 23432.3i | 0.0400534 | + | 0.929110i | ||||
\(861\) | −321.159 | − | 600.846i | −0.0127120 | − | 0.0237826i | ||||
\(862\) | 1920.86 | + | 974.118i | 0.0758987 | + | 0.0384902i | ||||
\(863\) | −12484.5 | + | 12484.5i | −0.492441 | + | 0.492441i | −0.909074 | − | 0.416634i | \(-0.863210\pi\) |
0.416634 | + | 0.909074i | \(0.363210\pi\) | |||||||
\(864\) | −24464.3 | − | 12778.1i | −0.963303 | − | 0.503150i | ||||
\(865\) | 3094.06 | + | 3094.06i | 0.121620 | + | 0.121620i | ||||
\(866\) | −6063.49 | − | 18541.1i | −0.237928 | − | 0.727545i | ||||
\(867\) | −2074.54 | + | 1108.87i | −0.0812632 | + | 0.0434361i | ||||
\(868\) | 1863.96 | + | 679.588i | 0.0728882 | + | 0.0265746i | ||||
\(869\) | 14487.4 | + | 17653.0i | 0.565538 | + | 0.689110i | ||||
\(870\) | −7058.05 | + | 7368.88i | −0.275046 | + | 0.287159i | ||||
\(871\) | 15288.1 | + | 3040.99i | 0.594738 | + | 0.118301i | ||||
\(872\) | −4687.19 | − | 621.018i | −0.182028 | − | 0.0241173i | ||||
\(873\) | 2152.83 | + | 10823.0i | 0.0834621 | + | 0.419592i | ||||
\(874\) | 15858.1 | − | 3511.08i | 0.613739 | − | 0.135885i | ||||
\(875\) | −387.576 | − | 1277.67i | −0.0149742 | − | 0.0493634i | ||||
\(876\) | 6983.90 | + | 11812.2i | 0.269365 | + | 0.455591i | ||||
\(877\) | 26480.5 | − | 32266.6i | 1.01959 | − | 1.24238i | 0.0497199 | − | 0.998763i | \(-0.484167\pi\) |
0.969872 | − | 0.243614i | \(-0.0783329\pi\) | |||||||
\(878\) | 2738.87 | + | 22768.6i | 0.105276 | + | 0.875175i | ||||
\(879\) | −35826.8 | + | 14840.0i | −1.37475 | + | 0.569442i | ||||
\(880\) | −17862.9 | + | 14304.2i | −0.684270 | + | 0.547947i | ||||
\(881\) | 5294.92 | + | 2193.23i | 0.202486 | + | 0.0838725i | 0.481622 | − | 0.876379i | \(-0.340048\pi\) |
−0.279136 | + | 0.960252i | \(0.590048\pi\) | |||||||
\(882\) | 2659.29 | − | 9498.40i | 0.101523 | − | 0.362617i | ||||
\(883\) | 4366.17 | + | 44330.5i | 0.166403 | + | 1.68951i | 0.609299 | + | 0.792940i | \(0.291451\pi\) |
−0.442897 | + | 0.896573i | \(0.646049\pi\) | |||||||
\(884\) | 35206.3 | − | 12359.1i | 1.33950 | − | 0.470227i | ||||
\(885\) | −1296.61 | + | 2425.78i | −0.0492486 | + | 0.0921376i | ||||
\(886\) | 1483.97 | + | 2120.57i | 0.0562697 | + | 0.0804085i | ||||
\(887\) | −33198.4 | − | 22182.5i | −1.25670 | − | 0.839701i | −0.264505 | − | 0.964384i | \(-0.585209\pi\) |
−0.992197 | + | 0.124683i | \(0.960209\pi\) | |||||||
\(888\) | −3097.07 | − | 2223.20i | −0.117039 | − | 0.0840156i | ||||
\(889\) | 400.484 | + | 599.367i | 0.0151089 | + | 0.0226121i | ||||
\(890\) | 5314.87 | + | 12088.0i | 0.200174 | + | 0.455269i | ||||
\(891\) | 23294.7 | + | 2294.33i | 0.875873 | + | 0.0862659i | ||||
\(892\) | 11603.9 | + | 15844.0i | 0.435568 | + | 0.594727i | ||||
\(893\) | −13453.9 | − | 4081.18i | −0.504161 | − | 0.152936i | ||||
\(894\) | −1387.66 | − | 1618.48i | −0.0519130 | − | 0.0605482i | ||||
\(895\) | 7188.44 | 0.268473 | ||||||||
\(896\) | −1094.17 | + | 1215.82i | −0.0407965 | + | 0.0453324i | ||||
\(897\) | −51842.3 | −1.92973 | ||||||||
\(898\) | 14170.4 | + | 16527.5i | 0.526585 | + | 0.614177i | ||||
\(899\) | 34661.7 | + | 10514.5i | 1.28591 | + | 0.390077i | ||||
\(900\) | 6357.69 | − | 4656.27i | 0.235470 | − | 0.172455i | ||||
\(901\) | −19825.1 | − | 1952.61i | −0.733042 | − | 0.0721984i | ||||
\(902\) | −11227.9 | − | 25536.4i | −0.414466 | − | 0.942650i | ||||
\(903\) | −1412.90 | − | 2114.56i | −0.0520691 | − | 0.0779270i | ||||
\(904\) | −4329.66 | − | 26359.8i | −0.159295 | − | 0.969816i | ||||
\(905\) | −15119.1 | − | 10102.3i | −0.555334 | − | 0.371062i | ||||
\(906\) | −10174.6 | − | 14539.3i | −0.373099 | − | 0.533153i | ||||
\(907\) | 12936.6 | − | 24202.6i | 0.473597 | − | 0.886037i | −0.525776 | − | 0.850623i | \(-0.676225\pi\) |
0.999373 | − | 0.0354141i | \(-0.0112750\pi\) | |||||||
\(908\) | −7182.67 | − | 20460.7i | −0.262517 | − | 0.747811i | ||||
\(909\) | −260.825 | − | 2648.20i | −0.00951707 | − | 0.0966285i | ||||
\(910\) | 325.426 | − | 1162.35i | 0.0118547 | − | 0.0423424i | ||||
\(911\) | 6683.85 | + | 2768.54i | 0.243080 | + | 0.100687i | 0.500897 | − | 0.865507i | \(-0.333003\pi\) |
−0.257818 | + | 0.966194i | \(0.583003\pi\) | |||||||
\(912\) | 8096.08 | − | 2350.13i | 0.293956 | − | 0.0853294i | ||||
\(913\) | −70132.7 | + | 29049.9i | −2.54223 | + | 1.05303i | ||||
\(914\) | −2703.28 | − | 22472.7i | −0.0978298 | − | 0.813274i | ||||
\(915\) | 11238.6 | − | 13694.2i | 0.406049 | − | 0.494772i | ||||
\(916\) | 42448.6 | − | 25097.5i | 1.53116 | − | 0.905288i | ||||
\(917\) | −464.941 | − | 1532.71i | −0.0167434 | − | 0.0551956i | ||||
\(918\) | 27735.7 | − | 6140.85i | 0.997185 | − | 0.220783i | ||||
\(919\) | −5587.55 | − | 28090.5i | −0.200562 | − | 1.00829i | −0.941575 | − | 0.336802i | \(-0.890655\pi\) |
0.741014 | − | 0.671490i | \(-0.234345\pi\) | |||||||
\(920\) | 17124.9 | − | 13117.9i | 0.613686 | − | 0.470093i | ||||
\(921\) | 29224.6 | + | 5813.13i | 1.04558 | + | 0.207980i | ||||
\(922\) | 23720.6 | − | 24765.2i | 0.847283 | − | 0.884596i | ||||
\(923\) | 35524.7 | + | 43287.0i | 1.26686 | + | 1.54367i | ||||
\(924\) | 849.964 | − | 2331.26i | 0.0302617 | − | 0.0830011i | ||||
\(925\) | 3499.85 | − | 1870.71i | 0.124405 | − | 0.0664957i | ||||
\(926\) | 11185.5 | + | 34203.3i | 0.396952 | + | 1.21381i | ||||
\(927\) | −929.208 | − | 929.208i | −0.0329225 | − | 0.0329225i | ||||
\(928\) | −18723.6 | + | 23263.5i | −0.662319 | + | 0.822910i | ||||
\(929\) | −5227.93 | + | 5227.93i | −0.184632 | + | 0.184632i | −0.793371 | − | 0.608739i | \(-0.791676\pi\) |
0.608739 | + | 0.793371i | \(0.291676\pi\) | |||||||
\(930\) | −12112.3 | − | 6142.48i | −0.427074 | − | 0.216581i | ||||
\(931\) | 5177.68 | + | 9686.77i | 0.182268 | + | 0.341000i | ||||
\(932\) | 23542.2 | − | 1014.89i | 0.827413 | − | 0.0356693i | ||||
\(933\) | −1698.04 | + | 1393.55i | −0.0595834 | + | 0.0488988i | ||||
\(934\) | 6734.62 | − | 145.095i | 0.235935 | − | 0.00508316i | ||||
\(935\) | 4595.04 | − | 23100.8i | 0.160721 | − | 0.807997i | ||||
\(936\) | 16316.0 | − | 1055.88i | 0.569772 | − | 0.0368723i | ||||
\(937\) | 49947.9 | − | 9935.26i | 1.74144 | − | 0.346393i | 0.780924 | − | 0.624626i | \(-0.214749\pi\) |
0.960514 | + | 0.278233i | \(0.0897486\pi\) | |||||||
\(938\) | 378.042 | − | 593.047i | 0.0131594 | − | 0.0206436i | ||||
\(939\) | −19022.6 | + | 5770.45i | −0.661108 | + | 0.200545i | ||||
\(940\) | −18486.6 | + | 2628.88i | −0.641454 | + | 0.0912177i | ||||
\(941\) | −10307.7 | − | 8459.30i | −0.357089 | − | 0.293056i | 0.438695 | − | 0.898636i | \(-0.355441\pi\) |
−0.795784 | + | 0.605581i | \(0.792941\pi\) | |||||||
\(942\) | −36.0637 | + | 45.9264i | −0.00124737 | + | 0.00158850i | ||||
\(943\) | 10063.0 | + | 24294.2i | 0.347503 | + | 0.838948i | ||||
\(944\) | −3169.63 | + | 7399.55i | −0.109282 | + | 0.255121i | ||||
\(945\) | 351.673 | − | 849.014i | 0.0121057 | − | 0.0292259i | ||||
\(946\) | −51053.6 | − | 90756.4i | −1.75465 | − | 3.11918i | ||||
\(947\) | 50916.8 | − | 5014.86i | 1.74717 | − | 0.172081i | 0.826636 | − | 0.562738i | \(-0.190252\pi\) |
0.920537 | + | 0.390656i | \(0.127752\pi\) | |||||||
\(948\) | −7453.66 | − | 8323.75i | −0.255363 | − | 0.285172i | ||||
\(949\) | −26136.7 | − | 13970.3i | −0.894027 | − | 0.477868i | ||||
\(950\) | −1526.19 | + | 8641.55i | −0.0521223 | + | 0.295125i | ||||
\(951\) | −16263.1 | + | 24339.4i | −0.554539 | + | 0.829926i | ||||
\(952\) | 56.4718 | − | 1682.55i | 0.00192255 | − | 0.0572813i | ||||
\(953\) | 31871.0 | − | 21295.5i | 1.08332 | − | 0.723850i | 0.120152 | − | 0.992756i | \(-0.461662\pi\) |
0.963167 | + | 0.268905i | \(0.0866619\pi\) | |||||||
\(954\) | −8134.89 | − | 3166.07i | −0.276076 | − | 0.107448i | ||||
\(955\) | 281.383 | − | 2856.93i | 0.00953440 | − | 0.0968044i | ||||
\(956\) | 7805.70 | + | 31975.5i | 0.264074 | + | 1.08176i | ||||
\(957\) | 13150.6 | − | 43351.6i | 0.444198 | − | 1.46432i | ||||
\(958\) | 208.318 | − | 2713.04i | 0.00702551 | − | 0.0914974i | ||||
\(959\) | − | 2223.47i | − | 0.0748691i | ||||||
\(960\) | 8430.21 | − | 7368.50i | 0.283421 | − | 0.247726i | ||||
\(961\) | 18418.4i | 0.618253i | ||||||||
\(962\) | 8209.47 | + | 630.354i | 0.275139 | + | 0.0211262i | ||||
\(963\) | −1778.49 | + | 5862.90i | −0.0595130 | + | 0.196188i | ||||
\(964\) | 8630.55 | − | 14205.1i | 0.288352 | − | 0.474600i | ||||
\(965\) | −2566.61 | + | 26059.2i | −0.0856188 | + | 0.869302i | ||||
\(966\) | −848.364 | + | 2179.79i | −0.0282564 | + | 0.0726020i | ||||
\(967\) | −39052.1 | + | 26093.8i | −1.29869 | + | 0.867756i | −0.996343 | − | 0.0854423i | \(-0.972770\pi\) |
−0.302346 | + | 0.953198i | \(0.597770\pi\) | |||||||
\(968\) | 29555.7 | − | 65087.8i | 0.981360 | − | 2.16116i | ||||
\(969\) | −4820.55 | + | 7214.46i | −0.159813 | + | 0.239176i | ||||
\(970\) | −16071.6 | − | 2838.42i | −0.531989 | − | 0.0939550i | ||||
\(971\) | 24600.6 | + | 13149.3i | 0.813049 | + | 0.434584i | 0.824853 | − | 0.565347i | \(-0.191258\pi\) |
−0.0118045 | + | 0.999930i | \(0.503758\pi\) | |||||||
\(972\) | 21448.9 | + | 1182.86i | 0.707793 | + | 0.0390332i | ||||
\(973\) | −1182.38 | + | 116.454i | −0.0389572 | + | 0.00383695i | ||||
\(974\) | −38284.8 | + | 21536.5i | −1.25947 | + | 0.708495i | ||||
\(975\) | 10718.7 | − | 25877.2i | 0.352075 | − | 0.849984i | ||||
\(976\) | 29319.8 | − | 42759.5i | 0.961582 | − | 1.40235i | ||||
\(977\) | 2591.95 | + | 6257.53i | 0.0848761 | + | 0.204909i | 0.960619 | − | 0.277869i | \(-0.0896280\pi\) |
−0.875743 | + | 0.482778i | \(0.839628\pi\) | |||||||
\(978\) | −20316.2 | − | 15953.3i | −0.664254 | − | 0.521605i | ||||
\(979\) | −45318.7 | − | 37192.1i | −1.47946 | − | 1.21416i | ||||
\(980\) | 11664.7 | + | 8760.19i | 0.380220 | + | 0.285545i | ||||
\(981\) | 2040.60 | − | 619.009i | 0.0664131 | − | 0.0201462i | ||||
\(982\) | 919.890 | + | 586.391i | 0.0298930 | + | 0.0190555i | ||||
\(983\) | 30661.6 | − | 6098.97i | 0.994866 | − | 0.197891i | 0.329296 | − | 0.944227i | \(-0.393189\pi\) |
0.665570 | + | 0.746336i | \(0.268189\pi\) | |||||||
\(984\) | 6026.48 | + | 12246.0i | 0.195241 | + | 0.396735i | ||||
\(985\) | 1521.95 | − | 7651.37i | 0.0492319 | − | 0.247506i | ||||
\(986\) | −662.033 | − | 30728.3i | −0.0213828 | − | 0.992484i | ||||
\(987\) | 1565.11 | − | 1284.45i | 0.0504742 | − | 0.0414231i | ||||
\(988\) | −12307.7 | + | 13416.7i | −0.396317 | + | 0.432026i | ||||
\(989\) | 46271.5 | + | 86567.8i | 1.48771 | + | 2.78331i | ||||
\(990\) | 4668.07 | − | 9204.95i | 0.149860 | − | 0.295507i | ||||
\(991\) | −17338.5 | + | 17338.5i | −0.555778 | + | 0.555778i | −0.928103 | − | 0.372324i | \(-0.878561\pi\) |
0.372324 | + | 0.928103i | \(0.378561\pi\) | |||||||
\(992\) | −36863.6 | − | 14859.3i | −1.17986 | − | 0.475589i | ||||
\(993\) | 18194.3 | + | 18194.3i | 0.581450 | + | 0.581450i | ||||
\(994\) | 2401.40 | − | 785.328i | 0.0766276 | − | 0.0250594i | ||||
\(995\) | −3729.68 | + | 1993.56i | −0.118833 | + | 0.0635176i | ||||
\(996\) | 33669.7 | − | 15677.9i | 1.07115 | − | 0.498768i | ||||
\(997\) | −10548.1 | − | 12852.9i | −0.335066 | − | 0.408279i | 0.578036 | − | 0.816012i | \(-0.303819\pi\) |
−0.913101 | + | 0.407733i | \(0.866319\pi\) | |||||||
\(998\) | −15016.7 | − | 14383.3i | −0.476299 | − | 0.456208i | ||||
\(999\) | 6148.11 | + | 1222.93i | 0.194712 | + | 0.0387307i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 128.4.k.a.5.12 | ✓ | 752 | |
128.77 | even | 32 | inner | 128.4.k.a.77.12 | yes | 752 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
128.4.k.a.5.12 | ✓ | 752 | 1.1 | even | 1 | trivial | |
128.4.k.a.77.12 | yes | 752 | 128.77 | even | 32 | inner |