Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [49,4,Mod(2,49)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(49, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([26]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("49.2");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 49 = 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 49.g (of order \(21\), degree \(12\), 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: | \(2.89109359028\) |
Analytic rank: | \(0\) |
Dimension: | \(156\) |
Relative dimension: | \(13\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 11.13 | ||
Character | \(\chi\) | \(=\) | 49.11 |
Dual form | 49.4.g.a.9.13 |
$q$-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 \(\left(\mathbb{Z}/49\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{20}{21}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 3.89764 | − | 3.61648i | 1.37802 | − | 1.27862i | 0.456807 | − | 0.889566i | \(-0.348993\pi\) |
0.921216 | − | 0.389053i | \(-0.127198\pi\) | |||||||
\(3\) | −0.609740 | + | 0.0919036i | −0.117345 | + | 0.0176869i | −0.207452 | − | 0.978245i | \(-0.566517\pi\) |
0.0901074 | + | 0.995932i | \(0.471279\pi\) | |||||||
\(4\) | 1.51482 | − | 20.2138i | 0.189352 | − | 2.52673i | ||||
\(5\) | −3.10515 | + | 7.91179i | −0.277733 | + | 0.707652i | 0.722141 | + | 0.691746i | \(0.243158\pi\) |
−0.999874 | + | 0.0159054i | \(0.994937\pi\) | |||||||
\(6\) | −2.04418 | + | 2.56332i | −0.139089 | + | 0.174412i | ||||
\(7\) | 18.4911 | − | 1.03883i | 0.998426 | − | 0.0560915i | ||||
\(8\) | −40.6778 | − | 51.0084i | −1.79772 | − | 2.25427i | ||||
\(9\) | −25.4371 | + | 7.84632i | −0.942116 | + | 0.290604i | ||||
\(10\) | 16.5101 | + | 42.0670i | 0.522094 | + | 1.33027i | ||||
\(11\) | 28.9466 | + | 8.92886i | 0.793431 | + | 0.244741i | 0.664869 | − | 0.746960i | \(-0.268488\pi\) |
0.128563 | + | 0.991701i | \(0.458964\pi\) | |||||||
\(12\) | 0.934077 | + | 12.4644i | 0.0224704 | + | 0.299847i | ||||
\(13\) | 14.6416 | + | 64.1490i | 0.312373 | + | 1.36860i | 0.850608 | + | 0.525800i | \(0.176234\pi\) |
−0.538235 | + | 0.842795i | \(0.680909\pi\) | |||||||
\(14\) | 68.3147 | − | 70.9216i | 1.30413 | − | 1.35390i | ||||
\(15\) | 1.16621 | − | 5.10951i | 0.0200743 | − | 0.0879513i | ||||
\(16\) | −182.666 | − | 27.5324i | −2.85415 | − | 0.430194i | ||||
\(17\) | 9.72318 | − | 6.62915i | 0.138719 | − | 0.0945768i | −0.491972 | − | 0.870611i | \(-0.663724\pi\) |
0.630691 | + | 0.776034i | \(0.282772\pi\) | |||||||
\(18\) | −70.7687 | + | 122.575i | −0.926685 | + | 1.60507i | ||||
\(19\) | −48.6730 | − | 84.3041i | −0.587702 | − | 1.01793i | −0.994533 | − | 0.104427i | \(-0.966699\pi\) |
0.406830 | − | 0.913504i | \(-0.366634\pi\) | |||||||
\(20\) | 155.224 | + | 74.7517i | 1.73545 | + | 0.835750i | ||||
\(21\) | −11.1793 | + | 2.33281i | −0.116168 | + | 0.0242410i | ||||
\(22\) | 145.115 | − | 69.8835i | 1.40630 | − | 0.677237i | ||||
\(23\) | −7.98047 | − | 5.44099i | −0.0723497 | − | 0.0493272i | 0.526605 | − | 0.850110i | \(-0.323465\pi\) |
−0.598955 | + | 0.800783i | \(0.704417\pi\) | |||||||
\(24\) | 29.4908 | + | 27.3635i | 0.250824 | + | 0.232731i | ||||
\(25\) | 38.6771 | + | 35.8871i | 0.309417 | + | 0.287097i | ||||
\(26\) | 289.061 | + | 197.079i | 2.18037 | + | 1.48655i | ||||
\(27\) | 29.7891 | − | 14.3457i | 0.212330 | − | 0.102253i | ||||
\(28\) | 7.01193 | − | 375.349i | 0.0473261 | − | 2.53337i | ||||
\(29\) | −194.397 | − | 93.6164i | −1.24478 | − | 0.599453i | −0.308670 | − | 0.951169i | \(-0.599884\pi\) |
−0.936107 | + | 0.351716i | \(0.885598\pi\) | |||||||
\(30\) | −13.9330 | − | 24.1326i | −0.0847933 | − | 0.146866i | ||||
\(31\) | −126.916 | + | 219.824i | −0.735313 | + | 1.27360i | 0.219273 | + | 0.975664i | \(0.429631\pi\) |
−0.954586 | + | 0.297936i | \(0.903702\pi\) | |||||||
\(32\) | −380.290 | + | 259.277i | −2.10082 | + | 1.43232i | ||||
\(33\) | −18.4705 | − | 2.78399i | −0.0974336 | − | 0.0146857i | ||||
\(34\) | 13.9232 | − | 61.0017i | 0.0702299 | − | 0.307697i | ||||
\(35\) | −49.1986 | + | 149.523i | −0.237602 | + | 0.722116i | ||||
\(36\) | 120.071 | + | 526.067i | 0.555886 | + | 2.43550i | ||||
\(37\) | −7.99614 | − | 106.701i | −0.0355286 | − | 0.474096i | −0.986384 | − | 0.164460i | \(-0.947412\pi\) |
0.950855 | − | 0.309636i | \(-0.100207\pi\) | |||||||
\(38\) | −494.593 | − | 152.562i | −2.11141 | − | 0.651284i | ||||
\(39\) | −14.8231 | − | 37.7686i | −0.0608614 | − | 0.155072i | ||||
\(40\) | 529.878 | − | 163.446i | 2.09453 | − | 0.646076i | ||||
\(41\) | −266.513 | − | 334.197i | −1.01518 | − | 1.27300i | −0.961607 | − | 0.274432i | \(-0.911510\pi\) |
−0.0535737 | − | 0.998564i | \(-0.517061\pi\) | |||||||
\(42\) | −35.1363 | + | 49.5222i | −0.129087 | + | 0.181939i | ||||
\(43\) | 100.325 | − | 125.803i | 0.355799 | − | 0.446158i | −0.571431 | − | 0.820650i | \(-0.693612\pi\) |
0.927230 | + | 0.374492i | \(0.122183\pi\) | |||||||
\(44\) | 224.335 | − | 571.597i | 0.768632 | − | 1.95844i | ||||
\(45\) | 16.9077 | − | 225.617i | 0.0560099 | − | 0.747400i | ||||
\(46\) | −50.7822 | + | 7.65418i | −0.162770 | + | 0.0245336i | ||||
\(47\) | −196.194 | + | 182.042i | −0.608891 | + | 0.564968i | −0.923184 | − | 0.384358i | \(-0.874423\pi\) |
0.314293 | + | 0.949326i | \(0.398232\pi\) | |||||||
\(48\) | 113.909 | 0.342528 | ||||||||
\(49\) | 340.842 | − | 38.4182i | 0.993707 | − | 0.112006i | ||||
\(50\) | 280.534 | 0.793470 | ||||||||
\(51\) | −5.31937 | + | 4.93566i | −0.0146051 | + | 0.0135516i | ||||
\(52\) | 1318.88 | − | 198.788i | 3.51721 | − | 0.530135i | ||||
\(53\) | −15.8842 | + | 211.960i | −0.0411672 | + | 0.549338i | 0.938047 | + | 0.346509i | \(0.112633\pi\) |
−0.979214 | + | 0.202830i | \(0.934986\pi\) | |||||||
\(54\) | 64.2263 | − | 163.646i | 0.161854 | − | 0.412396i | ||||
\(55\) | −160.527 | + | 201.294i | −0.393553 | + | 0.493500i | ||||
\(56\) | −805.167 | − | 900.944i | −1.92134 | − | 2.14989i | ||||
\(57\) | 37.4257 | + | 46.9304i | 0.0869677 | + | 0.109054i | ||||
\(58\) | −1096.25 | + | 338.148i | −2.48180 | + | 0.765535i | ||||
\(59\) | 62.1204 | + | 158.280i | 0.137074 | + | 0.349260i | 0.982884 | − | 0.184225i | \(-0.0589775\pi\) |
−0.845810 | + | 0.533485i | \(0.820882\pi\) | |||||||
\(60\) | −101.516 | − | 31.3136i | −0.218428 | − | 0.0673760i | ||||
\(61\) | −54.3988 | − | 725.902i | −0.114181 | − | 1.52364i | −0.700553 | − | 0.713601i | \(-0.747063\pi\) |
0.586371 | − | 0.810042i | \(-0.300556\pi\) | |||||||
\(62\) | 300.319 | + | 1315.78i | 0.615169 | + | 2.69523i | ||||
\(63\) | −462.210 | + | 171.512i | −0.924332 | + | 0.342991i | ||||
\(64\) | −215.712 | + | 945.098i | −0.421313 | + | 1.84589i | ||||
\(65\) | −552.998 | − | 83.3510i | −1.05524 | − | 0.159053i | ||||
\(66\) | −82.0597 | + | 55.9473i | −0.153043 | + | 0.104343i | ||||
\(67\) | 261.524 | − | 452.972i | 0.476869 | − | 0.825961i | −0.522780 | − | 0.852468i | \(-0.675105\pi\) |
0.999649 | + | 0.0265071i | \(0.00843845\pi\) | |||||||
\(68\) | −119.272 | − | 206.584i | −0.212703 | − | 0.368412i | ||||
\(69\) | 5.36606 | + | 2.58416i | 0.00936229 | + | 0.00450864i | ||||
\(70\) | 348.990 | + | 760.713i | 0.595889 | + | 1.29889i | ||||
\(71\) | 449.307 | − | 216.375i | 0.751027 | − | 0.361676i | −0.0188881 | − | 0.999822i | \(-0.506013\pi\) |
0.769915 | + | 0.638146i | \(0.220298\pi\) | |||||||
\(72\) | 1434.96 | + | 978.336i | 2.34877 | + | 1.60136i | ||||
\(73\) | 838.099 | + | 777.643i | 1.34373 | + | 1.24680i | 0.943910 | + | 0.330202i | \(0.107117\pi\) |
0.399817 | + | 0.916595i | \(0.369074\pi\) | |||||||
\(74\) | −417.048 | − | 386.964i | −0.655147 | − | 0.607888i | ||||
\(75\) | −26.8811 | − | 18.3272i | −0.0413862 | − | 0.0282166i | ||||
\(76\) | −1777.84 | + | 856.161i | −2.68331 | + | 1.29222i | ||||
\(77\) | 544.531 | + | 135.034i | 0.805910 | + | 0.199851i | ||||
\(78\) | −194.365 | − | 93.6010i | −0.282147 | − | 0.135875i | ||||
\(79\) | 412.211 | + | 713.971i | 0.587056 | + | 1.01681i | 0.994616 | + | 0.103632i | \(0.0330463\pi\) |
−0.407560 | + | 0.913178i | \(0.633620\pi\) | |||||||
\(80\) | 785.034 | − | 1359.72i | 1.09712 | − | 1.90026i | ||||
\(81\) | 577.001 | − | 393.392i | 0.791496 | − | 0.539633i | ||||
\(82\) | −2247.39 | − | 338.739i | −3.02662 | − | 0.456189i | ||||
\(83\) | −90.0787 | + | 394.660i | −0.119126 | + | 0.521923i | 0.879790 | + | 0.475363i | \(0.157683\pi\) |
−0.998915 | + | 0.0465604i | \(0.985174\pi\) | |||||||
\(84\) | 30.2205 | + | 229.510i | 0.0392539 | + | 0.298114i | ||||
\(85\) | 22.2565 | + | 97.5122i | 0.0284007 | + | 0.124432i | ||||
\(86\) | −63.9352 | − | 853.156i | −0.0801664 | − | 1.06975i | ||||
\(87\) | 127.135 | + | 39.2160i | 0.156670 | + | 0.0483264i | ||||
\(88\) | −722.041 | − | 1839.73i | −0.874657 | − | 2.22859i | ||||
\(89\) | 734.529 | − | 226.572i | 0.874831 | − | 0.269850i | 0.175354 | − | 0.984505i | \(-0.443893\pi\) |
0.699476 | + | 0.714656i | \(0.253417\pi\) | |||||||
\(90\) | −750.039 | − | 940.520i | −0.878457 | − | 1.10155i | ||||
\(91\) | 337.379 | + | 1170.98i | 0.388648 | + | 1.34892i | ||||
\(92\) | −122.072 | + | 153.074i | −0.138336 | + | 0.173468i | ||||
\(93\) | 57.1829 | − | 145.700i | 0.0637590 | − | 0.162455i | ||||
\(94\) | −106.344 | + | 1419.06i | −0.116687 | + | 1.55708i | ||||
\(95\) | 818.132 | − | 123.314i | 0.883564 | − | 0.133176i | ||||
\(96\) | 208.049 | − | 193.042i | 0.221187 | − | 0.205232i | ||||
\(97\) | −424.107 | −0.443934 | −0.221967 | − | 0.975054i | \(-0.571248\pi\) | ||||
−0.221967 | + | 0.975054i | \(0.571248\pi\) | |||||||
\(98\) | 1189.54 | − | 1382.39i | 1.22614 | − | 1.42492i | ||||
\(99\) | −806.378 | −0.818627 | ||||||||
\(100\) | 784.003 | − | 727.449i | 0.784003 | − | 0.727449i | ||||
\(101\) | −763.696 | + | 115.109i | −0.752382 | + | 0.113403i | −0.514026 | − | 0.857774i | \(-0.671847\pi\) |
−0.238356 | + | 0.971178i | \(0.576608\pi\) | |||||||
\(102\) | −2.88329 | + | 38.4748i | −0.00279890 | + | 0.0373487i | ||||
\(103\) | 100.263 | − | 255.466i | 0.0959145 | − | 0.244386i | −0.874862 | − | 0.484373i | \(-0.839048\pi\) |
0.970776 | + | 0.239987i | \(0.0771431\pi\) | |||||||
\(104\) | 2676.55 | − | 3356.29i | 2.52363 | − | 3.16453i | ||||
\(105\) | 16.2566 | − | 95.6920i | 0.0151094 | − | 0.0889388i | ||||
\(106\) | 704.638 | + | 883.588i | 0.645665 | + | 0.809638i | ||||
\(107\) | −677.364 | + | 208.939i | −0.611993 | + | 0.188775i | −0.585230 | − | 0.810867i | \(-0.698996\pi\) |
−0.0267623 | + | 0.999642i | \(0.508520\pi\) | |||||||
\(108\) | −244.856 | − | 623.883i | −0.218160 | − | 0.555863i | ||||
\(109\) | 1457.40 | + | 449.550i | 1.28068 | + | 0.395037i | 0.859125 | − | 0.511766i | \(-0.171009\pi\) |
0.421554 | + | 0.906803i | \(0.361485\pi\) | |||||||
\(110\) | 102.301 | + | 1365.11i | 0.0886730 | + | 1.18326i | ||||
\(111\) | 14.6818 | + | 64.3251i | 0.0125544 | + | 0.0550042i | ||||
\(112\) | −3406.29 | − | 319.346i | −2.87379 | − | 0.269423i | ||||
\(113\) | 180.997 | − | 793.001i | 0.150680 | − | 0.660170i | −0.842009 | − | 0.539464i | \(-0.818627\pi\) |
0.992688 | − | 0.120706i | \(-0.0385160\pi\) | |||||||
\(114\) | 315.595 | + | 47.5682i | 0.259282 | + | 0.0390805i | ||||
\(115\) | 67.8285 | − | 46.2447i | 0.0550003 | − | 0.0374986i | ||||
\(116\) | −2186.82 | + | 3787.68i | −1.75035 | + | 3.03170i | ||||
\(117\) | −875.774 | − | 1516.88i | −0.692011 | − | 1.19860i | ||||
\(118\) | 814.539 | + | 392.261i | 0.635461 | + | 0.306022i | ||||
\(119\) | 172.906 | − | 132.681i | 0.133195 | − | 0.102209i | ||||
\(120\) | −308.067 | + | 148.357i | −0.234354 | + | 0.112859i | ||||
\(121\) | −341.540 | − | 232.858i | −0.256604 | − | 0.174950i | ||||
\(122\) | −2837.24 | − | 2632.57i | −2.10550 | − | 1.95362i | ||||
\(123\) | 193.218 | + | 179.280i | 0.141641 | + | 0.131424i | ||||
\(124\) | 4251.23 | + | 2898.44i | 3.07880 | + | 2.09909i | ||||
\(125\) | −1361.23 | + | 655.534i | −0.974017 | + | 0.469062i | ||||
\(126\) | −1181.26 | + | 2340.06i | −0.835196 | + | 1.65452i | ||||
\(127\) | 1836.73 | + | 884.525i | 1.28334 | + | 0.618023i | 0.946246 | − | 0.323449i | \(-0.104842\pi\) |
0.337092 | + | 0.941472i | \(0.390557\pi\) | |||||||
\(128\) | 736.094 | + | 1274.95i | 0.508298 | + | 0.880398i | ||||
\(129\) | −49.6102 | + | 85.9274i | −0.0338600 | + | 0.0586472i | ||||
\(130\) | −2456.82 | + | 1675.03i | −1.65752 | + | 1.13008i | ||||
\(131\) | −1211.98 | − | 182.677i | −0.808330 | − | 0.121836i | −0.268141 | − | 0.963380i | \(-0.586409\pi\) |
−0.540189 | + | 0.841544i | \(0.681647\pi\) | |||||||
\(132\) | −84.2544 | + | 369.143i | −0.0555561 | + | 0.243407i | ||||
\(133\) | −987.594 | − | 1508.31i | −0.643874 | − | 0.983363i | ||||
\(134\) | −618.840 | − | 2711.32i | −0.398953 | − | 1.74793i | ||||
\(135\) | 21.0004 | + | 280.231i | 0.0133883 | + | 0.178655i | ||||
\(136\) | −733.660 | − | 226.304i | −0.462580 | − | 0.142687i | ||||
\(137\) | −571.252 | − | 1455.53i | −0.356243 | − | 0.907693i | −0.990863 | − | 0.134869i | \(-0.956939\pi\) |
0.634620 | − | 0.772824i | \(-0.281157\pi\) | |||||||
\(138\) | 30.2605 | − | 9.33413i | 0.0186663 | − | 0.00575778i | ||||
\(139\) | −241.954 | − | 303.401i | −0.147642 | − | 0.185138i | 0.702511 | − | 0.711673i | \(-0.252062\pi\) |
−0.850153 | + | 0.526535i | \(0.823491\pi\) | |||||||
\(140\) | 2947.91 | + | 1220.99i | 1.77960 | + | 0.737090i | ||||
\(141\) | 102.897 | − | 129.029i | 0.0614575 | − | 0.0770653i | ||||
\(142\) | 968.721 | − | 2468.26i | 0.572488 | − | 1.45867i | ||||
\(143\) | −148.952 | + | 1987.63i | −0.0871051 | + | 1.16234i | ||||
\(144\) | 4862.52 | − | 732.906i | 2.81396 | − | 0.424136i | ||||
\(145\) | 1344.30 | − | 1247.33i | 0.769919 | − | 0.714381i | ||||
\(146\) | 6078.93 | 3.44586 | ||||||||
\(147\) | −204.294 | + | 54.7497i | −0.114625 | + | 0.0307189i | ||||
\(148\) | −2168.95 | −1.20464 | ||||||||
\(149\) | −480.592 | + | 445.924i | −0.264239 | + | 0.245178i | −0.801154 | − | 0.598458i | \(-0.795780\pi\) |
0.536915 | + | 0.843637i | \(0.319590\pi\) | |||||||
\(150\) | −171.053 | + | 25.7821i | −0.0931094 | + | 0.0140340i | ||||
\(151\) | −22.6940 | + | 302.831i | −0.0122306 | + | 0.163205i | 0.987744 | + | 0.156082i | \(0.0498865\pi\) |
−0.999975 | + | 0.00712324i | \(0.997733\pi\) | |||||||
\(152\) | −2320.30 | + | 5912.04i | −1.23817 | + | 3.15480i | ||||
\(153\) | −195.315 | + | 244.918i | −0.103205 | + | 0.129415i | ||||
\(154\) | 2610.73 | − | 1442.97i | 1.36610 | − | 0.755052i | ||||
\(155\) | −1345.11 | − | 1686.71i | −0.697044 | − | 0.874066i | ||||
\(156\) | −785.902 | + | 242.419i | −0.403350 | + | 0.124417i | ||||
\(157\) | −159.130 | − | 405.457i | −0.0808915 | − | 0.206108i | 0.884706 | − | 0.466149i | \(-0.154359\pi\) |
−0.965598 | + | 0.260041i | \(0.916264\pi\) | |||||||
\(158\) | 4188.71 | + | 1292.05i | 2.10909 | + | 0.650567i | ||||
\(159\) | −9.79464 | − | 130.700i | −0.00488532 | − | 0.0651900i | ||||
\(160\) | −870.489 | − | 3813.86i | −0.430114 | − | 1.88445i | ||||
\(161\) | −153.220 | − | 92.3196i | −0.0750026 | − | 0.0451913i | ||||
\(162\) | 826.244 | − | 3620.01i | 0.400715 | − | 1.75565i | ||||
\(163\) | −1846.02 | − | 278.243i | −0.887065 | − | 0.133704i | −0.310325 | − | 0.950631i | \(-0.600438\pi\) |
−0.576741 | + | 0.816927i | \(0.695676\pi\) | |||||||
\(164\) | −7159.12 | + | 4881.00i | −3.40874 | + | 2.32404i | ||||
\(165\) | 79.3800 | − | 137.490i | 0.0374529 | − | 0.0648703i | ||||
\(166\) | 1076.19 | + | 1864.01i | 0.503183 | + | 0.871538i | ||||
\(167\) | −2383.15 | − | 1147.67i | −1.10428 | − | 0.531791i | −0.209275 | − | 0.977857i | \(-0.567110\pi\) |
−0.895000 | + | 0.446066i | \(0.852825\pi\) | |||||||
\(168\) | 573.743 | + | 475.344i | 0.263484 | + | 0.218295i | ||||
\(169\) | −1921.29 | + | 925.245i | −0.874507 | + | 0.421140i | ||||
\(170\) | 439.399 | + | 299.577i | 0.198237 | + | 0.135156i | ||||
\(171\) | 1899.58 | + | 1762.55i | 0.849499 | + | 0.788220i | ||||
\(172\) | −2390.99 | − | 2218.51i | −1.05995 | − | 0.983487i | ||||
\(173\) | −534.524 | − | 364.432i | −0.234908 | − | 0.160158i | 0.440145 | − | 0.897927i | \(-0.354927\pi\) |
−0.675053 | + | 0.737769i | \(0.735879\pi\) | |||||||
\(174\) | 637.350 | − | 306.932i | 0.277686 | − | 0.133727i | ||||
\(175\) | 752.462 | + | 623.413i | 0.325033 | + | 0.269289i | ||||
\(176\) | −5041.72 | − | 2427.97i | −2.15929 | − | 1.03986i | ||||
\(177\) | −52.4238 | − | 90.8007i | −0.0222622 | − | 0.0385593i | ||||
\(178\) | 2043.53 | − | 3539.50i | 0.860502 | − | 1.49043i | ||||
\(179\) | 558.065 | − | 380.482i | 0.233027 | − | 0.158875i | −0.441178 | − | 0.897420i | \(-0.645439\pi\) |
0.674204 | + | 0.738545i | \(0.264487\pi\) | |||||||
\(180\) | −4534.97 | − | 683.537i | −1.87787 | − | 0.283043i | ||||
\(181\) | −279.592 | + | 1224.97i | −0.114817 | + | 0.503047i | 0.884515 | + | 0.466512i | \(0.154489\pi\) |
−0.999332 | + | 0.0365357i | \(0.988368\pi\) | |||||||
\(182\) | 5549.79 | + | 3343.91i | 2.26032 | + | 1.36191i | ||||
\(183\) | 99.8822 | + | 437.612i | 0.0403470 | + | 0.176772i | ||||
\(184\) | 47.0920 | + | 628.399i | 0.0188678 | + | 0.251773i | ||||
\(185\) | 869.026 | + | 268.059i | 0.345362 | + | 0.106530i | ||||
\(186\) | −304.041 | − | 774.685i | −0.119857 | − | 0.305391i | ||||
\(187\) | 340.644 | − | 105.075i | 0.133211 | − | 0.0410900i | ||||
\(188\) | 3382.56 | + | 4241.59i | 1.31223 | + | 1.64548i | ||||
\(189\) | 535.931 | − | 296.213i | 0.206261 | − | 0.114002i | ||||
\(190\) | 2742.82 | − | 3439.39i | 1.04729 | − | 1.31326i | ||||
\(191\) | −1202.17 | + | 3063.09i | −0.455425 | + | 1.16041i | 0.500223 | + | 0.865896i | \(0.333251\pi\) |
−0.955649 | + | 0.294509i | \(0.904844\pi\) | |||||||
\(192\) | 44.6707 | − | 596.089i | 0.0167908 | − | 0.224057i | ||||
\(193\) | 111.790 | − | 16.8496i | 0.0416933 | − | 0.00628426i | −0.128162 | − | 0.991753i | \(-0.540908\pi\) |
0.169856 | + | 0.985469i | \(0.445670\pi\) | |||||||
\(194\) | −1653.02 | + | 1533.77i | −0.611751 | + | 0.567622i | ||||
\(195\) | 344.845 | 0.126640 | ||||||||
\(196\) | −260.265 | − | 6947.91i | −0.0948489 | − | 2.53204i | ||||
\(197\) | 2012.16 | 0.727718 | 0.363859 | − | 0.931454i | \(-0.381459\pi\) | ||||
0.363859 | + | 0.931454i | \(0.381459\pi\) | |||||||
\(198\) | −3142.97 | + | 2916.25i | −1.12809 | + | 1.04671i | ||||
\(199\) | 2121.11 | − | 319.706i | 0.755587 | − | 0.113886i | 0.240058 | − | 0.970759i | \(-0.422834\pi\) |
0.515529 | + | 0.856872i | \(0.327596\pi\) | |||||||
\(200\) | 257.243 | − | 3432.67i | 0.0909490 | − | 1.21363i | ||||
\(201\) | −117.832 | + | 300.230i | −0.0413493 | + | 0.105356i | ||||
\(202\) | −2560.32 | + | 3210.54i | −0.891800 | + | 1.11828i | ||||
\(203\) | −3691.86 | − | 1529.13i | −1.27644 | − | 0.528688i | ||||
\(204\) | 91.7105 | + | 115.001i | 0.0314756 | + | 0.0394692i | ||||
\(205\) | 3471.66 | − | 1070.87i | 1.18279 | − | 0.364841i | ||||
\(206\) | −533.098 | − | 1358.31i | −0.180304 | − | 0.459408i | ||||
\(207\) | 245.692 | + | 75.7859i | 0.0824965 | + | 0.0254468i | ||||
\(208\) | −908.339 | − | 12120.9i | −0.302798 | − | 4.04056i | ||||
\(209\) | −656.180 | − | 2874.91i | −0.217172 | − | 0.951493i | ||||
\(210\) | −282.705 | − | 431.764i | −0.0928977 | − | 0.141879i | ||||
\(211\) | −962.506 | + | 4217.02i | −0.314036 | + | 1.37588i | 0.533793 | + | 0.845615i | \(0.320766\pi\) |
−0.847830 | + | 0.530268i | \(0.822091\pi\) | |||||||
\(212\) | 4260.46 | + | 642.160i | 1.38023 | + | 0.208037i | ||||
\(213\) | −254.075 | + | 173.225i | −0.0817321 | + | 0.0557240i | ||||
\(214\) | −1884.49 | + | 3264.04i | −0.601969 | + | 1.04264i | ||||
\(215\) | 683.804 | + | 1184.38i | 0.216907 | + | 0.375694i | ||||
\(216\) | −1943.51 | − | 935.944i | −0.612218 | − | 0.294828i | ||||
\(217\) | −2118.45 | + | 4196.63i | −0.662717 | + | 1.31284i | ||||
\(218\) | 7306.22 | − | 3518.49i | 2.26991 | − | 1.09313i | ||||
\(219\) | −582.491 | − | 397.136i | −0.179731 | − | 0.122539i | ||||
\(220\) | 3825.76 | + | 3549.78i | 1.17242 | + | 1.08785i | ||||
\(221\) | 567.616 | + | 526.671i | 0.172769 | + | 0.160306i | ||||
\(222\) | 289.855 | + | 197.620i | 0.0876296 | + | 0.0597449i | ||||
\(223\) | 5560.74 | − | 2677.91i | 1.66984 | − | 0.804153i | 0.671858 | − | 0.740680i | \(-0.265497\pi\) |
0.997984 | − | 0.0634731i | \(-0.0202177\pi\) | |||||||
\(224\) | −6762.63 | + | 5189.37i | −2.01717 | + | 1.54790i | ||||
\(225\) | −1265.42 | − | 609.392i | −0.374938 | − | 0.180561i | ||||
\(226\) | −2162.41 | − | 3745.40i | −0.636466 | − | 1.10239i | ||||
\(227\) | 1285.51 | − | 2226.56i | 0.375868 | − | 0.651023i | −0.614588 | − | 0.788848i | \(-0.710678\pi\) |
0.990457 | + | 0.137825i | \(0.0440112\pi\) | |||||||
\(228\) | 1005.33 | − | 685.426i | 0.292017 | − | 0.199094i | ||||
\(229\) | 2464.24 | + | 371.424i | 0.711097 | + | 0.107181i | 0.494623 | − | 0.869108i | \(-0.335306\pi\) |
0.216474 | + | 0.976288i | \(0.430544\pi\) | |||||||
\(230\) | 97.1279 | − | 425.545i | 0.0278453 | − | 0.121998i | ||||
\(231\) | −344.433 | − | 32.2912i | −0.0981039 | − | 0.00919743i | ||||
\(232\) | 3132.41 | + | 13724.0i | 0.886434 | + | 3.88372i | ||||
\(233\) | 256.130 | + | 3417.82i | 0.0720157 | + | 0.960982i | 0.909818 | + | 0.415008i | \(0.136221\pi\) |
−0.837802 | + | 0.545974i | \(0.816160\pi\) | |||||||
\(234\) | −8899.23 | − | 2745.05i | −2.48616 | − | 0.766878i | ||||
\(235\) | −831.062 | − | 2117.51i | −0.230692 | − | 0.587793i | ||||
\(236\) | 3293.55 | − | 1015.92i | 0.908439 | − | 0.280216i | ||||
\(237\) | −316.958 | − | 397.453i | −0.0868720 | − | 0.108934i | ||||
\(238\) | 194.086 | − | 1142.45i | 0.0528601 | − | 0.311152i | ||||
\(239\) | −2584.40 | + | 3240.74i | −0.699461 | + | 0.877097i | −0.996983 | − | 0.0776184i | \(-0.975268\pi\) |
0.297522 | + | 0.954715i | \(0.403840\pi\) | |||||||
\(240\) | −353.704 | + | 901.223i | −0.0951312 | + | 0.242390i | ||||
\(241\) | 172.576 | − | 2302.87i | 0.0461270 | − | 0.615522i | −0.925461 | − | 0.378843i | \(-0.876322\pi\) |
0.971588 | − | 0.236679i | \(-0.0760589\pi\) | |||||||
\(242\) | −2173.32 | + | 327.576i | −0.577300 | + | 0.0870139i | ||||
\(243\) | −970.071 | + | 900.094i | −0.256091 | + | 0.237618i | ||||
\(244\) | −14755.7 | −3.87145 | ||||||||
\(245\) | −754.407 | + | 2815.96i | −0.196724 | + | 0.734306i | ||||
\(246\) | 1401.46 | 0.363226 | ||||||||
\(247\) | 4695.37 | − | 4356.67i | 1.20955 | − | 1.12230i | ||||
\(248\) | 16375.5 | − | 2468.21i | 4.19293 | − | 0.631983i | ||||
\(249\) | 18.6539 | − | 248.919i | 0.00474756 | − | 0.0633518i | ||||
\(250\) | −2934.86 | + | 7477.90i | −0.742467 | + | 1.89177i | ||||
\(251\) | −1224.11 | + | 1534.98i | −0.307828 | + | 0.386004i | −0.911549 | − | 0.411192i | \(-0.865113\pi\) |
0.603721 | + | 0.797196i | \(0.293684\pi\) | |||||||
\(252\) | 2766.75 | + | 9602.83i | 0.691621 | + | 2.40048i | ||||
\(253\) | −182.426 | − | 228.755i | −0.0453321 | − | 0.0568447i | ||||
\(254\) | 10357.8 | − | 3194.96i | 2.55868 | − | 0.789249i | ||||
\(255\) | −22.5324 | − | 57.4117i | −0.00553347 | − | 0.0140991i | ||||
\(256\) | 69.1828 | + | 21.3401i | 0.0168903 | + | 0.00520998i | ||||
\(257\) | −257.824 | − | 3440.42i | −0.0625783 | − | 0.835050i | −0.936877 | − | 0.349660i | \(-0.886297\pi\) |
0.874298 | − | 0.485389i | \(-0.161322\pi\) | |||||||
\(258\) | 117.392 | + | 514.328i | 0.0283275 | + | 0.124111i | ||||
\(259\) | −258.702 | − | 1964.71i | −0.0620654 | − | 0.471357i | ||||
\(260\) | −2522.53 | + | 11051.9i | −0.601695 | + | 2.63620i | ||||
\(261\) | 5679.43 | + | 856.037i | 1.34693 | + | 0.203017i | ||||
\(262\) | −5384.51 | + | 3671.10i | −1.26968 | + | 0.865653i | ||||
\(263\) | −1202.20 | + | 2082.27i | −0.281866 | + | 0.488207i | −0.971844 | − | 0.235623i | \(-0.924287\pi\) |
0.689978 | + | 0.723830i | \(0.257620\pi\) | |||||||
\(264\) | 609.335 | + | 1055.40i | 0.142053 | + | 0.246043i | ||||
\(265\) | −1627.66 | − | 783.839i | −0.377307 | − | 0.181701i | ||||
\(266\) | −9304.06 | − | 2307.24i | −2.14462 | − | 0.531827i | ||||
\(267\) | −427.049 | + | 205.656i | −0.0978839 | + | 0.0471384i | ||||
\(268\) | −8760.13 | − | 5972.56i | −1.99668 | − | 1.36131i | ||||
\(269\) | −2463.06 | − | 2285.38i | −0.558273 | − | 0.518001i | 0.349794 | − | 0.936827i | \(-0.386252\pi\) |
−0.908067 | + | 0.418825i | \(0.862442\pi\) | |||||||
\(270\) | 1095.30 | + | 1016.29i | 0.246881 | + | 0.229072i | ||||
\(271\) | 593.502 | + | 404.643i | 0.133036 | + | 0.0907022i | 0.628009 | − | 0.778206i | \(-0.283870\pi\) |
−0.494974 | + | 0.868908i | \(0.664822\pi\) | |||||||
\(272\) | −1958.61 | + | 943.215i | −0.436610 | + | 0.210260i | ||||
\(273\) | −313.331 | − | 682.985i | −0.0694638 | − | 0.151414i | ||||
\(274\) | −7490.41 | − | 3607.19i | −1.65150 | − | 0.795323i | ||||
\(275\) | 799.141 | + | 1384.15i | 0.175236 | + | 0.303518i | ||||
\(276\) | 60.3643 | − | 104.554i | 0.0131649 | − | 0.0228022i | ||||
\(277\) | −1599.67 | + | 1090.64i | −0.346986 | + | 0.236571i | −0.724254 | − | 0.689533i | \(-0.757816\pi\) |
0.377269 | + | 0.926104i | \(0.376863\pi\) | |||||||
\(278\) | −2040.29 | − | 307.525i | −0.440175 | − | 0.0663457i | ||||
\(279\) | 1503.56 | − | 6587.51i | 0.322637 | − | 1.41356i | ||||
\(280\) | 9628.24 | − | 3572.75i | 2.05499 | − | 0.762544i | ||||
\(281\) | 880.246 | + | 3856.61i | 0.186872 | + | 0.818740i | 0.978253 | + | 0.207417i | \(0.0665056\pi\) |
−0.791381 | + | 0.611324i | \(0.790637\pi\) | |||||||
\(282\) | −65.5748 | − | 875.034i | −0.0138472 | − | 0.184778i | ||||
\(283\) | 444.140 | + | 136.999i | 0.0932910 | + | 0.0287765i | 0.341049 | − | 0.940045i | \(-0.389218\pi\) |
−0.247758 | + | 0.968822i | \(0.579694\pi\) | |||||||
\(284\) | −3693.14 | − | 9409.98i | −0.771647 | − | 1.96612i | ||||
\(285\) | −487.515 | + | 150.379i | −0.101326 | + | 0.0312549i | ||||
\(286\) | 6607.67 | + | 8285.75i | 1.36615 | + | 1.71310i | ||||
\(287\) | −5275.30 | − | 5902.81i | −1.08499 | − | 1.21405i | ||||
\(288\) | 7639.10 | − | 9579.13i | 1.56298 | − | 1.95992i | ||||
\(289\) | −1744.33 | + | 4444.47i | −0.355043 | + | 0.904635i | ||||
\(290\) | 728.659 | − | 9723.28i | 0.147546 | − | 1.96887i | ||||
\(291\) | 258.595 | − | 38.9770i | 0.0520932 | − | 0.00785179i | ||||
\(292\) | 16988.7 | − | 15763.2i | 3.40475 | − | 3.15915i | ||||
\(293\) | 2528.38 | 0.504127 | 0.252064 | − | 0.967711i | \(-0.418891\pi\) | ||||
0.252064 | + | 0.967711i | \(0.418891\pi\) | |||||||
\(294\) | −598.263 | + | 952.220i | −0.118678 | + | 0.188893i | ||||
\(295\) | −1445.17 | −0.285224 | ||||||||
\(296\) | −5117.39 | + | 4748.24i | −1.00487 | + | 0.932385i | ||||
\(297\) | 990.386 | − | 149.277i | 0.193495 | − | 0.0291647i | ||||
\(298\) | −260.498 | + | 3476.10i | −0.0506384 | + | 0.675722i | ||||
\(299\) | 232.187 | − | 591.604i | 0.0449088 | − | 0.114426i | ||||
\(300\) | −411.183 | + | 515.608i | −0.0791323 | + | 0.0992287i | ||||
\(301\) | 1724.42 | − | 2430.46i | 0.330213 | − | 0.465413i | ||||
\(302\) | 1006.73 | + | 1262.40i | 0.191823 | + | 0.240539i | ||||
\(303\) | 455.077 | − | 140.373i | 0.0862822 | − | 0.0266145i | ||||
\(304\) | 6569.78 | + | 16739.5i | 1.23948 | + | 3.15815i | ||||
\(305\) | 5912.10 | + | 1823.64i | 1.10992 | + | 0.342365i | ||||
\(306\) | 124.471 | + | 1660.95i | 0.0232534 | + | 0.310295i | ||||
\(307\) | 237.179 | + | 1039.15i | 0.0440928 | + | 0.193183i | 0.992178 | − | 0.124834i | \(-0.0398400\pi\) |
−0.948085 | + | 0.318018i | \(0.896983\pi\) | |||||||
\(308\) | 3554.41 | − | 10802.5i | 0.657570 | − | 1.99847i | ||||
\(309\) | −37.6561 | + | 164.982i | −0.00693263 | + | 0.0303738i | ||||
\(310\) | −11342.7 | − | 1709.64i | −2.07814 | − | 0.313229i | ||||
\(311\) | 5399.02 | − | 3680.99i | 0.984406 | − | 0.671157i | 0.0397468 | − | 0.999210i | \(-0.487345\pi\) |
0.944659 | + | 0.328053i | \(0.106392\pi\) | |||||||
\(312\) | −1323.55 | + | 2292.45i | −0.240164 | + | 0.415976i | ||||
\(313\) | −778.589 | − | 1348.56i | −0.140602 | − | 0.243530i | 0.787121 | − | 0.616798i | \(-0.211570\pi\) |
−0.927724 | + | 0.373268i | \(0.878237\pi\) | |||||||
\(314\) | −2086.56 | − | 1004.83i | −0.375004 | − | 0.180593i | ||||
\(315\) | 78.2638 | − | 4189.47i | 0.0139989 | − | 0.749365i | ||||
\(316\) | 15056.5 | − | 7250.83i | 2.68036 | − | 1.29079i | ||||
\(317\) | −3406.00 | − | 2322.17i | −0.603470 | − | 0.411439i | 0.222678 | − | 0.974892i | \(-0.428520\pi\) |
−0.826148 | + | 0.563453i | \(0.809473\pi\) | |||||||
\(318\) | −510.851 | − | 474.000i | −0.0900852 | − | 0.0835869i | ||||
\(319\) | −4791.24 | − | 4445.62i | −0.840934 | − | 0.780273i | ||||
\(320\) | −6807.59 | − | 4641.34i | −1.18924 | − | 0.810808i | ||||
\(321\) | 393.814 | − | 189.651i | 0.0684752 | − | 0.0329759i | ||||
\(322\) | −931.067 | + | 194.288i | −0.161138 | + | 0.0336250i | ||||
\(323\) | −1032.12 | − | 497.043i | −0.177798 | − | 0.0856229i | ||||
\(324\) | −7077.91 | − | 12259.3i | −1.21363 | − | 2.10207i | ||||
\(325\) | −1735.83 | + | 3006.54i | −0.296266 | + | 0.513147i | ||||
\(326\) | −8201.39 | + | 5591.61i | −1.39335 | + | 0.949972i | ||||
\(327\) | −929.953 | − | 140.168i | −0.157268 | − | 0.0237043i | ||||
\(328\) | −6205.68 | + | 27188.8i | −1.04467 | + | 4.57699i | ||||
\(329\) | −3438.74 | + | 3569.96i | −0.576242 | + | 0.598232i | ||||
\(330\) | −187.836 | − | 822.963i | −0.0313334 | − | 0.137281i | ||||
\(331\) | 389.665 | + | 5199.71i | 0.0647067 | + | 0.863451i | 0.931257 | + | 0.364362i | \(0.118713\pi\) |
−0.866551 | + | 0.499089i | \(0.833668\pi\) | |||||||
\(332\) | 7841.14 | + | 2418.67i | 1.29620 | + | 0.399825i | ||||
\(333\) | 1040.61 | + | 2651.43i | 0.171246 | + | 0.436329i | ||||
\(334\) | −13439.2 | + | 4145.44i | −2.20167 | + | 0.679126i | ||||
\(335\) | 2771.75 | + | 3475.66i | 0.452050 | + | 0.566853i | ||||
\(336\) | 2106.30 | − | 118.332i | 0.341989 | − | 0.0192129i | ||||
\(337\) | 337.953 | − | 423.779i | 0.0546275 | − | 0.0685007i | −0.753767 | − | 0.657142i | \(-0.771765\pi\) |
0.808395 | + | 0.588641i | \(0.200337\pi\) | |||||||
\(338\) | −4142.37 | + | 10554.6i | −0.666613 | + | 1.69850i | ||||
\(339\) | −37.4817 | + | 500.159i | −0.00600510 | + | 0.0801325i | ||||
\(340\) | 2004.81 | − | 302.176i | 0.319782 | − | 0.0481994i | ||||
\(341\) | −5636.56 | + | 5229.96i | −0.895122 | + | 0.830552i | ||||
\(342\) | 13778.1 | 2.17846 | ||||||||
\(343\) | 6262.63 | − | 1064.47i | 0.985860 | − | 0.167569i | ||||
\(344\) | −10498.0 | −1.64539 | ||||||||
\(345\) | −37.1077 | + | 34.4309i | −0.00579076 | + | 0.00537304i | ||||
\(346\) | −3401.34 | + | 512.670i | −0.528489 | + | 0.0796569i | ||||
\(347\) | 342.718 | − | 4573.25i | 0.0530203 | − | 0.707507i | −0.905838 | − | 0.423623i | \(-0.860758\pi\) |
0.958859 | − | 0.283884i | \(-0.0916230\pi\) | |||||||
\(348\) | 985.291 | − | 2510.48i | 0.151773 | − | 0.386712i | ||||
\(349\) | −1824.44 | + | 2287.77i | −0.279828 | + | 0.350893i | −0.901806 | − | 0.432142i | \(-0.857758\pi\) |
0.621978 | + | 0.783035i | \(0.286329\pi\) | |||||||
\(350\) | 5187.38 | − | 291.427i | 0.792221 | − | 0.0445069i | ||||
\(351\) | 1356.42 | + | 1700.90i | 0.206269 | + | 0.258653i | ||||
\(352\) | −13323.2 | + | 4109.65i | −2.01741 | + | 0.622287i | ||||
\(353\) | 840.751 | + | 2142.20i | 0.126767 | + | 0.322996i | 0.980141 | − | 0.198303i | \(-0.0635429\pi\) |
−0.853374 | + | 0.521299i | \(0.825448\pi\) | |||||||
\(354\) | −532.708 | − | 164.319i | −0.0799805 | − | 0.0246707i | ||||
\(355\) | 316.747 | + | 4226.70i | 0.0473555 | + | 0.631915i | ||||
\(356\) | −3467.21 | − | 15190.8i | −0.516185 | − | 2.26155i | ||||
\(357\) | −93.2337 | + | 96.7916i | −0.0138220 | + | 0.0143495i | ||||
\(358\) | 799.129 | − | 3501.21i | 0.117976 | − | 0.516885i | ||||
\(359\) | 12056.2 | + | 1817.17i | 1.77242 | + | 0.267150i | 0.952328 | − | 0.305077i | \(-0.0986824\pi\) |
0.820095 | + | 0.572227i | \(0.193920\pi\) | |||||||
\(360\) | −12196.1 | + | 8315.18i | −1.78554 | + | 1.21736i | ||||
\(361\) | −1308.62 | + | 2266.59i | −0.190788 | + | 0.330455i | ||||
\(362\) | 3340.34 | + | 5785.64i | 0.484985 | + | 0.840018i | ||||
\(363\) | 229.651 | + | 110.594i | 0.0332054 | + | 0.0159909i | ||||
\(364\) | 24181.0 | − | 5045.90i | 3.48194 | − | 0.726586i | ||||
\(365\) | −8754.96 | + | 4216.17i | −1.25549 | + | 0.604615i | ||||
\(366\) | 1971.92 | + | 1344.43i | 0.281623 | + | 0.192007i | ||||
\(367\) | −3804.56 | − | 3530.12i | −0.541135 | − | 0.502100i | 0.361579 | − | 0.932341i | \(-0.382238\pi\) |
−0.902714 | + | 0.430242i | \(0.858428\pi\) | |||||||
\(368\) | 1307.95 | + | 1213.60i | 0.185277 | + | 0.171912i | ||||
\(369\) | 9401.55 | + | 6409.87i | 1.32636 | + | 0.904294i | ||||
\(370\) | 4356.58 | − | 2098.02i | 0.612129 | − | 0.294786i | ||||
\(371\) | −73.5263 | + | 3935.87i | −0.0102892 | + | 0.550783i | ||||
\(372\) | −2858.52 | − | 1376.59i | −0.398407 | − | 0.191863i | ||||
\(373\) | −3056.20 | − | 5293.49i | −0.424246 | − | 0.734816i | 0.572104 | − | 0.820181i | \(-0.306128\pi\) |
−0.996350 | + | 0.0853656i | \(0.972794\pi\) | |||||||
\(374\) | 947.706 | − | 1641.48i | 0.131029 | − | 0.226948i | ||||
\(375\) | 769.751 | − | 524.808i | 0.105999 | − | 0.0722692i | ||||
\(376\) | 17266.4 | + | 2602.49i | 2.36821 | + | 0.356950i | ||||
\(377\) | 3159.13 | − | 13841.0i | 0.431574 | − | 1.89085i | ||||
\(378\) | 1017.62 | − | 3092.72i | 0.138467 | − | 0.420826i | ||||
\(379\) | −1583.14 | − | 6936.19i | −0.214566 | − | 0.940074i | −0.961420 | − | 0.275086i | \(-0.911294\pi\) |
0.746854 | − | 0.664988i | \(-0.231563\pi\) | |||||||
\(380\) | −1253.32 | − | 16724.4i | −0.169194 | − | 2.25774i | ||||
\(381\) | −1201.22 | − | 370.528i | −0.161524 | − | 0.0498234i | ||||
\(382\) | 6391.96 | + | 16286.4i | 0.856129 | + | 2.18138i | ||||
\(383\) | 11575.9 | − | 3570.69i | 1.54439 | − | 0.476380i | 0.598567 | − | 0.801073i | \(-0.295737\pi\) |
0.945820 | + | 0.324692i | \(0.105261\pi\) | |||||||
\(384\) | −565.999 | − | 709.740i | −0.0752175 | − | 0.0943197i | ||||
\(385\) | −2759.21 | + | 3888.91i | −0.365253 | + | 0.514798i | ||||
\(386\) | 374.780 | − | 469.960i | 0.0494192 | − | 0.0619697i | ||||
\(387\) | −1564.88 | + | 3987.25i | −0.205548 | + | 0.523729i | ||||
\(388\) | −642.444 | + | 8572.82i | −0.0840597 | + | 1.12170i | ||||
\(389\) | −1331.72 | + | 200.725i | −0.173576 | + | 0.0261623i | −0.235255 | − | 0.971934i | \(-0.575592\pi\) |
0.0616793 | + | 0.998096i | \(0.480354\pi\) | |||||||
\(390\) | 1344.08 | − | 1247.13i | 0.174513 | − | 0.161925i | ||||
\(391\) | −113.665 | −0.0147015 | ||||||||
\(392\) | −15824.4 | − | 15823.0i | −2.03890 | − | 2.03873i | ||||
\(393\) | 755.782 | 0.0970081 | ||||||||
\(394\) | 7842.67 | − | 7276.94i | 1.00281 | − | 0.930474i | ||||
\(395\) | −6928.76 | + | 1044.34i | −0.882592 | + | 0.133029i | ||||
\(396\) | −1221.51 | + | 16300.0i | −0.155009 | + | 2.06845i | ||||
\(397\) | −1178.71 | + | 3003.30i | −0.149012 | + | 0.379676i | −0.985817 | − | 0.167825i | \(-0.946326\pi\) |
0.836805 | + | 0.547501i | \(0.184421\pi\) | |||||||
\(398\) | 7111.12 | − | 8917.06i | 0.895598 | − | 1.12304i | ||||
\(399\) | 740.795 | + | 828.915i | 0.0929478 | + | 0.104004i | ||||
\(400\) | −6076.91 | − | 7620.21i | −0.759614 | − | 0.952526i | ||||
\(401\) | 3160.55 | − | 974.900i | 0.393592 | − | 0.121407i | −0.0916408 | − | 0.995792i | \(-0.529211\pi\) |
0.485233 | + | 0.874385i | \(0.338735\pi\) | |||||||
\(402\) | 626.511 | + | 1596.33i | 0.0777302 | + | 0.198053i | ||||
\(403\) | −15959.7 | − | 4922.93i | −1.97273 | − | 0.608508i | ||||
\(404\) | 1169.93 | + | 15611.6i | 0.144074 | + | 1.92254i | ||||
\(405\) | 1320.76 | + | 5786.64i | 0.162048 | + | 0.709977i | ||||
\(406\) | −19919.6 | + | 7391.54i | −2.43495 | + | 0.903537i | ||||
\(407\) | 721.258 | − | 3160.04i | 0.0878413 | − | 0.384858i | ||||
\(408\) | 468.141 | + | 70.5608i | 0.0568049 | + | 0.00856197i | ||||
\(409\) | −548.521 | + | 373.976i | −0.0663145 | + | 0.0452125i | −0.596024 | − | 0.802967i | \(-0.703254\pi\) |
0.529709 | + | 0.848179i | \(0.322301\pi\) | |||||||
\(410\) | 9658.51 | − | 16729.0i | 1.16341 | − | 2.01509i | ||||
\(411\) | 482.083 | + | 834.993i | 0.0578575 | + | 0.100212i | ||||
\(412\) | −5012.06 | − | 2413.68i | −0.599336 | − | 0.288625i | ||||
\(413\) | 1313.10 | + | 2862.24i | 0.156449 | + | 0.341021i | ||||
\(414\) | 1231.70 | − | 593.153i | 0.146219 | − | 0.0704152i | ||||
\(415\) | −2842.76 | − | 1938.16i | −0.336255 | − | 0.229254i | ||||
\(416\) | −22200.4 | − | 20599.0i | −2.61650 | − | 2.42776i | ||||
\(417\) | 175.413 | + | 162.759i | 0.0205995 | + | 0.0191136i | ||||
\(418\) | −12954.6 | − | 8832.31i | −1.51586 | − | 1.03350i | ||||
\(419\) | −5117.54 | + | 2464.48i | −0.596679 | + | 0.287345i | −0.707745 | − | 0.706468i | \(-0.750288\pi\) |
0.111067 | + | 0.993813i | \(0.464573\pi\) | |||||||
\(420\) | −1909.67 | − | 473.564i | −0.221863 | − | 0.0550180i | ||||
\(421\) | 10831.5 | + | 5216.19i | 1.25391 | + | 0.603852i | 0.938558 | − | 0.345122i | \(-0.112163\pi\) |
0.315354 | + | 0.948974i | \(0.397877\pi\) | |||||||
\(422\) | 11499.2 | + | 19917.3i | 1.32648 | + | 2.29753i | ||||
\(423\) | 3562.26 | − | 6170.02i | 0.409464 | − | 0.709212i | ||||
\(424\) | 11457.9 | − | 7811.85i | 1.31237 | − | 0.894757i | ||||
\(425\) | 613.965 | + | 92.5403i | 0.0700745 | + | 0.0105620i | ||||
\(426\) | −363.826 | + | 1594.03i | −0.0413790 | + | 0.181293i | ||||
\(427\) | −1759.98 | − | 13366.2i | −0.199465 | − | 1.51484i | ||||
\(428\) | 3197.37 | + | 14008.6i | 0.361100 | + | 1.58208i | ||||
\(429\) | −91.8482 | − | 1225.63i | −0.0103368 | − | 0.137935i | ||||
\(430\) | 6948.52 | + | 2143.33i | 0.779273 | + | 0.240374i | ||||
\(431\) | 2950.14 | + | 7516.85i | 0.329706 | + | 0.840078i | 0.995572 | + | 0.0940061i | \(0.0299673\pi\) |
−0.665865 | + | 0.746072i | \(0.731937\pi\) | |||||||
\(432\) | −5836.42 | + | 1800.30i | −0.650011 | + | 0.200502i | ||||
\(433\) | 3610.99 | + | 4528.04i | 0.400769 | + | 0.502549i | 0.940737 | − | 0.339137i | \(-0.110135\pi\) |
−0.539968 | + | 0.841686i | \(0.681564\pi\) | |||||||
\(434\) | 6920.09 | + | 24018.3i | 0.765381 | + | 2.65648i | ||||
\(435\) | −705.042 | + | 884.094i | −0.0777107 | + | 0.0974461i | ||||
\(436\) | 11294.8 | − | 28778.7i | 1.24065 | − | 3.16112i | ||||
\(437\) | −70.2645 | + | 937.615i | −0.00769155 | + | 0.102637i | ||||
\(438\) | −3706.57 | + | 558.676i | −0.404354 | + | 0.0609465i | ||||
\(439\) | −6590.69 | + | 6115.27i | −0.716530 | + | 0.664842i | −0.951671 | − | 0.307119i | \(-0.900635\pi\) |
0.235142 | + | 0.971961i | \(0.424445\pi\) | |||||||
\(440\) | 16797.6 | 1.81999 | ||||||||
\(441\) | −8368.59 | + | 3651.60i | −0.903638 | + | 0.394299i | ||||
\(442\) | 4117.06 | 0.443051 | ||||||||
\(443\) | −3415.28 | + | 3168.91i | −0.366286 | + | 0.339864i | −0.841746 | − | 0.539874i | \(-0.818472\pi\) |
0.475460 | + | 0.879737i | \(0.342282\pi\) | |||||||
\(444\) | 1322.50 | − | 199.334i | 0.141358 | − | 0.0213063i | ||||
\(445\) | −488.230 | + | 6514.98i | −0.0520097 | + | 0.694021i | ||||
\(446\) | 11989.1 | − | 30547.8i | 1.27287 | − | 3.24323i | ||||
\(447\) | 252.054 | − | 316.066i | 0.0266706 | − | 0.0334439i | ||||
\(448\) | −3006.97 | + | 17700.0i | −0.317111 | + | 1.86662i | ||||
\(449\) | 6766.70 | + | 8485.17i | 0.711225 | + | 0.891848i | 0.997806 | − | 0.0662079i | \(-0.0210901\pi\) |
−0.286581 | + | 0.958056i | \(0.592519\pi\) | |||||||
\(450\) | −7135.98 | + | 2201.16i | −0.747541 | + | 0.230586i | ||||
\(451\) | −4730.67 | − | 12053.5i | −0.493921 | − | 1.25849i | ||||
\(452\) | −15755.4 | − | 4859.90i | −1.63954 | − | 0.505731i | ||||
\(453\) | −13.9938 | − | 186.734i | −0.00145140 | − | 0.0193676i | ||||
\(454\) | −3041.88 | − | 13327.3i | −0.314455 | − | 1.37772i | ||||
\(455\) | −10312.1 | − | 966.782i | −1.06250 | − | 0.0996119i | ||||
\(456\) | 871.446 | − | 3818.05i | 0.0894938 | − | 0.392098i | ||||
\(457\) | −18198.4 | − | 2742.96i | −1.86276 | − | 0.280767i | −0.881321 | − | 0.472519i | \(-0.843345\pi\) |
−0.981443 | + | 0.191752i | \(0.938583\pi\) | |||||||
\(458\) | 10947.9 | − | 7464.18i | 1.11695 | − | 0.761524i | ||||
\(459\) | 194.545 | − | 336.962i | 0.0197834 | − | 0.0342659i | ||||
\(460\) | −832.033 | − | 1441.12i | −0.0843342 | − | 0.146071i | ||||
\(461\) | −10438.8 | − | 5027.05i | −1.05462 | − | 0.507881i | −0.175504 | − | 0.984479i | \(-0.556155\pi\) |
−0.879121 | + | 0.476598i | \(0.841870\pi\) | |||||||
\(462\) | −1459.25 | + | 1119.77i | −0.146949 | + | 0.112763i | ||||
\(463\) | −118.716 | + | 57.1705i | −0.0119162 | + | 0.00573853i | −0.439832 | − | 0.898080i | \(-0.644962\pi\) |
0.427916 | + | 0.903818i | \(0.359248\pi\) | |||||||
\(464\) | 32932.1 | + | 22452.7i | 3.29490 | + | 2.24642i | ||||
\(465\) | 975.183 | + | 904.838i | 0.0972538 | + | 0.0902384i | ||||
\(466\) | 13358.8 | + | 12395.1i | 1.32797 | + | 1.23217i | ||||
\(467\) | −7685.77 | − | 5240.07i | −0.761574 | − | 0.519232i | 0.119142 | − | 0.992877i | \(-0.461986\pi\) |
−0.880716 | + | 0.473645i | \(0.842938\pi\) | |||||||
\(468\) | −31988.6 | + | 15404.9i | −3.15956 | + | 1.52157i | ||||
\(469\) | 4365.30 | − | 8647.63i | 0.429788 | − | 0.851408i | ||||
\(470\) | −10897.1 | − | 5247.78i | −1.06946 | − | 0.515025i | ||||
\(471\) | 134.291 | + | 232.599i | 0.0131376 | + | 0.0227550i | ||||
\(472\) | 5546.69 | − | 9607.16i | 0.540905 | − | 0.936875i | ||||
\(473\) | 4027.34 | − | 2745.79i | 0.391495 | − | 0.266917i | ||||
\(474\) | −2672.77 | − | 402.855i | −0.258997 | − | 0.0390374i | ||||
\(475\) | 1142.90 | − | 5007.37i | 0.110400 | − | 0.483692i | ||||
\(476\) | −2420.07 | − | 3696.07i | −0.233033 | − | 0.355902i | ||||
\(477\) | −1259.06 | − | 5516.28i | −0.120856 | − | 0.529504i | ||||
\(478\) | 1647.00 | + | 21977.7i | 0.157598 | + | 2.10300i | ||||
\(479\) | 8134.70 | + | 2509.22i | 0.775958 | + | 0.239351i | 0.657345 | − | 0.753589i | \(-0.271679\pi\) |
0.118612 | + | 0.992941i | \(0.462155\pi\) | |||||||
\(480\) | 881.280 | + | 2245.46i | 0.0838016 | + | 0.213523i | ||||
\(481\) | 6727.70 | − | 2075.22i | 0.637748 | − | 0.196719i | ||||
\(482\) | −7655.63 | − | 9599.86i | −0.723453 | − | 0.907182i | ||||
\(483\) | 101.909 | + | 42.2095i | 0.00960044 | + | 0.00397640i | ||||
\(484\) | −5224.32 | + | 6551.08i | −0.490638 | + | 0.615241i | ||||
\(485\) | 1316.92 | − | 3355.45i | 0.123295 | − | 0.314150i | ||||
\(486\) | −525.813 | + | 7016.48i | −0.0490768 | + | 0.654885i | ||||
\(487\) | 3373.93 | − | 508.538i | 0.313937 | − | 0.0473184i | 0.00981601 | − | 0.999952i | \(-0.496875\pi\) |
0.304121 | + | 0.952633i | \(0.401637\pi\) | |||||||
\(488\) | −34814.3 | + | 32302.9i | −3.22944 | + | 2.99649i | ||||
\(489\) | 1151.17 | 0.106457 | ||||||||
\(490\) | 7243.45 | + | 13703.9i | 0.667808 | + | 1.26343i | ||||
\(491\) | −10192.8 | −0.936855 | −0.468427 | − | 0.883502i | \(-0.655179\pi\) | ||||
−0.468427 | + | 0.883502i | \(0.655179\pi\) | |||||||
\(492\) | 3916.62 | − | 3634.09i | 0.358892 | − | 0.333003i | ||||
\(493\) | −2510.75 | + | 378.435i | −0.229368 | + | 0.0345717i | ||||
\(494\) | 2545.06 | − | 33961.4i | 0.231797 | − | 3.09311i | ||||
\(495\) | 2503.92 | − | 6379.89i | 0.227360 | − | 0.579303i | ||||
\(496\) | 29235.4 | − | 36660.0i | 2.64659 | − | 3.31872i | ||||
\(497\) | 8083.41 | − | 4467.76i | 0.729558 | − | 0.403233i | ||||
\(498\) | −827.504 | − | 1037.66i | −0.0744605 | − | 0.0933705i | ||||
\(499\) | 12632.4 | − | 3896.59i | 1.13328 | − | 0.349570i | 0.329298 | − | 0.944226i | \(-0.393188\pi\) |
0.803980 | + | 0.594656i | \(0.202712\pi\) | |||||||
\(500\) | 11188.8 | + | 28508.7i | 1.00076 | + | 2.54989i | ||||
\(501\) | 1558.58 | + | 480.758i | 0.138986 | + | 0.0428716i | ||||
\(502\) | 780.102 | + | 10409.7i | 0.0693579 | + | 0.925517i | ||||
\(503\) | 4732.19 | + | 20733.1i | 0.419479 | + | 1.83786i | 0.535401 | + | 0.844598i | \(0.320161\pi\) |
−0.115922 | + | 0.993258i | \(0.536982\pi\) | |||||||
\(504\) | 27550.2 | + | 16599.8i | 2.43489 | + | 1.46709i | ||||
\(505\) | 1460.67 | − | 6399.63i | 0.128711 | − | 0.563920i | ||||
\(506\) | −1538.32 | − | 231.864i | −0.135151 | − | 0.0203708i | ||||
\(507\) | 1086.46 | − | 740.733i | 0.0951700 | − | 0.0648858i | ||||
\(508\) | 20661.9 | − | 35787.5i | 1.80458 | − | 3.12562i | ||||
\(509\) | −9576.31 | − | 16586.7i | −0.833915 | − | 1.44438i | −0.894911 | − | 0.446244i | \(-0.852761\pi\) |
0.0609965 | − | 0.998138i | \(-0.480572\pi\) | |||||||
\(510\) | −295.451 | − | 142.282i | −0.0256525 | − | 0.0123536i | ||||
\(511\) | 16305.2 | + | 13508.8i | 1.41155 | + | 1.16946i | ||||
\(512\) | −10264.3 | + | 4943.04i | −0.885984 | + | 0.426667i | ||||
\(513\) | −2659.32 | − | 1813.10i | −0.228873 | − | 0.156043i | ||||
\(514\) | −13447.1 | − | 12477.1i | −1.15394 | − | 1.07070i | ||||
\(515\) | 1709.86 | + | 1586.52i | 0.146302 | + | 0.135748i | ||||
\(516\) | 1661.77 | + | 1132.98i | 0.141774 | + | 0.0966598i | ||||
\(517\) | −7304.59 | + | 3517.70i | −0.621384 | + | 0.299243i | ||||
\(518\) | −8113.67 | − | 6722.16i | −0.688213 | − | 0.570183i | ||||
\(519\) | 359.413 | + | 173.084i | 0.0303979 | + | 0.0146388i | ||||
\(520\) | 18243.2 | + | 31598.1i | 1.53849 | + | 2.66474i | ||||
\(521\) | −10517.8 | + | 18217.4i | −0.884440 | + | 1.53190i | −0.0380863 | + | 0.999274i | \(0.512126\pi\) |
−0.846354 | + | 0.532621i | \(0.821207\pi\) | |||||||
\(522\) | 25232.2 | − | 17203.0i | 2.11568 | − | 1.44244i | ||||
\(523\) | −20599.2 | − | 3104.83i | −1.72226 | − | 0.259588i | −0.787867 | − | 0.615845i | \(-0.788815\pi\) |
−0.934388 | + | 0.356257i | \(0.884053\pi\) | |||||||
\(524\) | −5528.52 | + | 24222.0i | −0.460906 | + | 2.01936i | ||||
\(525\) | −516.101 | − | 310.966i | −0.0429038 | − | 0.0258508i | ||||
\(526\) | 2844.75 | + | 12463.7i | 0.235812 | + | 1.03316i | ||||
\(527\) | 223.225 | + | 2978.73i | 0.0184513 | + | 0.246215i | ||||
\(528\) | 3297.28 | + | 1017.08i | 0.271772 | + | 0.0838307i | ||||
\(529\) | −4411.02 | − | 11239.1i | −0.362540 | − | 0.923736i | ||||
\(530\) | −9178.76 | + | 2831.27i | −0.752264 | + | 0.232043i | ||||
\(531\) | −2822.08 | − | 3538.78i | −0.230636 | − | 0.289209i | ||||
\(532\) | −31984.8 | + | 17678.2i | −2.60661 | + | 1.44069i | ||||
\(533\) | 17536.2 | − | 21989.7i | 1.42510 | − | 1.78702i | ||||
\(534\) | −920.732 | + | 2345.99i | −0.0746142 | + | 0.190114i | ||||
\(535\) | 450.233 | − | 6007.94i | 0.0363837 | − | 0.485506i | ||||
\(536\) | −33743.6 | + | 5086.03i | −2.71922 | + | 0.409856i | ||||
\(537\) | −305.307 | + | 283.284i | −0.0245344 | + | 0.0227646i | ||||
\(538\) | −17865.2 | −1.43164 | ||||||||
\(539\) | 10209.3 | + | 1931.25i | 0.815851 | + | 0.154332i | ||||
\(540\) | 5696.34 | 0.453947 | ||||||||
\(541\) | 7176.50 | − | 6658.82i | 0.570318 | − | 0.529177i | −0.341441 | − | 0.939903i | \(-0.610915\pi\) |
0.911759 | + | 0.410726i | \(0.134725\pi\) | |||||||
\(542\) | 3776.64 | − | 569.236i | 0.299300 | − | 0.0451122i | ||||
\(543\) | 57.8992 | − | 772.612i | 0.00457586 | − | 0.0610607i | ||||
\(544\) | −1978.84 | + | 5041.99i | −0.155959 | + | 0.397378i | ||||
\(545\) | −8082.19 | + | 10134.8i | −0.635235 | + | 0.796560i | ||||
\(546\) | −3691.25 | − | 1528.87i | −0.289324 | − | 0.119835i | ||||
\(547\) | −8626.98 | − | 10817.9i | −0.674338 | − | 0.845594i | 0.320481 | − | 0.947255i | \(-0.396156\pi\) |
−0.994819 | + | 0.101661i | \(0.967584\pi\) | |||||||
\(548\) | −30287.1 | + | 9342.32i | −2.36095 | + | 0.728256i | ||||
\(549\) | 7079.41 | + | 18038.0i | 0.550349 | + | 1.40227i | ||||
\(550\) | 8120.52 | + | 2504.85i | 0.629564 | + | 0.194195i | ||||
\(551\) | 1569.61 | + | 20945.0i | 0.121357 | + | 1.61940i | ||||
\(552\) | −86.4660 | − | 378.832i | −0.00666709 | − | 0.0292104i | ||||
\(553\) | 8363.93 | + | 12773.9i | 0.643166 | + | 0.982280i | ||||
\(554\) | −2290.67 | + | 10036.1i | −0.175670 | + | 0.769662i | ||||
\(555\) | −554.516 | − | 83.5798i | −0.0424106 | − | 0.00639237i | ||||
\(556\) | −6499.41 | + | 4431.22i | −0.495749 | + | 0.337996i | ||||
\(557\) | −5708.03 | + | 9886.60i | −0.434214 | + | 0.752080i | −0.997231 | − | 0.0743648i | \(-0.976307\pi\) |
0.563017 | + | 0.826445i | \(0.309640\pi\) | |||||||
\(558\) | −17963.3 | − | 31113.3i | −1.36281 | − | 2.36045i | ||||
\(559\) | 9539.05 | + | 4593.77i | 0.721751 | + | 0.347577i | ||||
\(560\) | 13103.6 | − | 25958.2i | 0.988803 | − | 1.95881i | ||||
\(561\) | −198.048 | + | 95.3748i | −0.0149048 | + | 0.00717777i | ||||
\(562\) | 17378.2 | + | 11848.3i | 1.30437 | + | 0.889305i | ||||
\(563\) | 7685.99 | + | 7131.56i | 0.575357 | + | 0.533853i | 0.913286 | − | 0.407318i | \(-0.133536\pi\) |
−0.337929 | + | 0.941171i | \(0.609727\pi\) | |||||||
\(564\) | −2452.30 | − | 2275.40i | −0.183086 | − | 0.169879i | ||||
\(565\) | 5712.03 | + | 3894.40i | 0.425322 | + | 0.289980i | ||||
\(566\) | 2226.55 | − | 1072.25i | 0.165351 | − | 0.0796290i | ||||
\(567\) | 10260.7 | − | 7873.66i | 0.759981 | − | 0.583179i | ||||
\(568\) | −29313.8 | − | 14116.8i | −2.16546 | − | 1.04283i | ||||
\(569\) | −11234.9 | − | 19459.4i | −0.827752 | − | 1.43371i | −0.899798 | − | 0.436307i | \(-0.856286\pi\) |
0.0720465 | − | 0.997401i | \(-0.477047\pi\) | |||||||
\(570\) | −1356.32 | + | 2349.21i | −0.0996664 | + | 0.172627i | ||||
\(571\) | −5485.53 | + | 3739.97i | −0.402036 | + | 0.274103i | −0.747412 | − | 0.664361i | \(-0.768704\pi\) |
0.345376 | + | 0.938464i | \(0.387751\pi\) | |||||||
\(572\) | 39952.0 | + | 6021.79i | 2.92041 | + | 0.440181i | ||||
\(573\) | 451.505 | − | 1978.17i | 0.0329178 | − | 0.144222i | ||||
\(574\) | −41908.6 | − | 3929.01i | −3.04744 | − | 0.285704i | ||||
\(575\) | −113.400 | − | 496.837i | −0.00822452 | − | 0.0360340i | ||||
\(576\) | −1928.43 | − | 25733.1i | −0.139499 | − | 1.86148i | ||||
\(577\) | −10404.7 | − | 3209.42i | −0.750697 | − | 0.231559i | −0.104285 | − | 0.994548i | \(-0.533255\pi\) |
−0.646413 | + | 0.762988i | \(0.723731\pi\) | |||||||
\(578\) | 9274.58 | + | 23631.2i | 0.667425 | + | 1.70057i | ||||
\(579\) | −66.6143 | + | 20.5478i | −0.00478134 | + | 0.00147485i | ||||
\(580\) | −23176.9 | − | 29063.0i | −1.65926 | − | 2.08064i | ||||
\(581\) | −1255.67 | + | 7391.28i | −0.0896625 | + | 0.527783i | ||||
\(582\) | 866.951 | − | 1087.12i | 0.0617462 | − | 0.0774273i | ||||
\(583\) | −2352.35 | + | 5993.70i | −0.167109 | + | 0.425787i | ||||
\(584\) | 5574.23 | − | 74382.9i | 0.394971 | − | 5.27053i | ||||
\(585\) | 14720.7 | − | 2218.78i | 1.04038 | − | 0.156813i | ||||
\(586\) | 9854.69 | − | 9143.81i | 0.694699 | − | 0.644586i | ||||
\(587\) | 22194.7 | 1.56060 | 0.780302 | − | 0.625402i | \(-0.215065\pi\) | ||||
0.780302 | + | 0.625402i | \(0.215065\pi\) | |||||||
\(588\) | 797.232 | + | 4212.50i | 0.0559137 | + | 0.295443i | ||||
\(589\) | 24709.4 | 1.72858 | ||||||||
\(590\) | −5632.75 | + | 5226.43i | −0.393045 | + | 0.364693i | ||||
\(591\) | −1226.90 | + | 184.925i | −0.0853938 | + | 0.0128710i | ||||
\(592\) | −1477.12 | + | 19710.8i | −0.102549 | + | 1.36843i | ||||
\(593\) | 10315.1 | − | 26282.4i | 0.714316 | − | 1.82005i | 0.161242 | − | 0.986915i | \(-0.448450\pi\) |
0.553074 | − | 0.833132i | \(-0.313455\pi\) | |||||||
\(594\) | 3320.31 | − | 4163.54i | 0.229350 | − | 0.287596i | ||||
\(595\) | 512.846 | + | 1779.99i | 0.0353355 | + | 0.122643i | ||||
\(596\) | 8285.82 | + | 10390.1i | 0.569464 | + | 0.714085i | ||||
\(597\) | −1263.95 | + | 389.876i | −0.0866497 | + | 0.0267279i | ||||
\(598\) | −1234.54 | − | 3145.56i | −0.0844216 | − | 0.215103i | ||||
\(599\) | 15139.4 | + | 4669.88i | 1.03269 | + | 0.318541i | 0.764362 | − | 0.644787i | \(-0.223054\pi\) |
0.268324 | + | 0.963329i | \(0.413530\pi\) | |||||||
\(600\) | 158.623 | + | 2116.68i | 0.0107929 | + | 0.144022i | ||||
\(601\) | 2720.15 | + | 11917.8i | 0.184621 | + | 0.808878i | 0.979392 | + | 0.201968i | \(0.0647338\pi\) |
−0.794771 | + | 0.606909i | \(0.792409\pi\) | |||||||
\(602\) | −2068.52 | − | 15709.4i | −0.140044 | − | 1.06357i | ||||
\(603\) | −3098.25 | + | 13574.3i | −0.209238 | + | 0.916731i | ||||
\(604\) | 6086.99 | + | 917.465i | 0.410060 | + | 0.0618065i | ||||
\(605\) | 2902.85 | − | 1979.13i | 0.195071 | − | 0.132997i | ||||
\(606\) | 1266.07 | − | 2192.90i | 0.0848690 | − | 0.146997i | ||||
\(607\) | 5070.82 | + | 8782.91i | 0.339074 | + | 0.587294i | 0.984259 | − | 0.176733i | \(-0.0565529\pi\) |
−0.645185 | + | 0.764027i | \(0.723220\pi\) | |||||||
\(608\) | 40367.9 | + | 19440.2i | 2.69266 | + | 1.29672i | ||||
\(609\) | 2391.61 | + | 593.075i | 0.159134 | + | 0.0394624i | ||||
\(610\) | 29638.4 | − | 14273.1i | 1.96725 | − | 0.947378i | ||||
\(611\) | −14550.4 | − | 9920.29i | −0.963414 | − | 0.656844i | ||||
\(612\) | 4654.85 | + | 4319.07i | 0.307453 | + | 0.285275i | ||||
\(613\) | 5930.61 | + | 5502.80i | 0.390759 | + | 0.362571i | 0.850948 | − | 0.525250i | \(-0.176028\pi\) |
−0.460189 | + | 0.887821i | \(0.652218\pi\) | |||||||
\(614\) | 4682.49 | + | 3192.47i | 0.307769 | + | 0.209833i | ||||
\(615\) | −2018.39 | + | 972.008i | −0.132341 | + | 0.0637319i | ||||
\(616\) | −15262.5 | − | 33268.5i | −0.998284 | − | 2.17602i | ||||
\(617\) | −7608.13 | − | 3663.88i | −0.496421 | − | 0.239064i | 0.168883 | − | 0.985636i | \(-0.445984\pi\) |
−0.665304 | + | 0.746572i | \(0.731698\pi\) | |||||||
\(618\) | 449.885 | + | 779.224i | 0.0292832 | + | 0.0507200i | ||||
\(619\) | −3018.73 | + | 5228.60i | −0.196015 | + | 0.339508i | −0.947233 | − | 0.320547i | \(-0.896133\pi\) |
0.751218 | + | 0.660054i | \(0.229467\pi\) | |||||||
\(620\) | −36132.5 | + | 24634.7i | −2.34051 | + | 1.59573i | ||||
\(621\) | −315.786 | − | 47.5971i | −0.0204059 | − | 0.00307569i | ||||
\(622\) | 7731.20 | − | 33872.6i | 0.498381 | − | 2.18355i | ||||
\(623\) | 13346.9 | − | 4952.62i | 0.858317 | − | 0.318495i | ||||
\(624\) | 1667.81 | + | 7307.15i | 0.106996 | + | 0.468782i | ||||
\(625\) | −466.763 | − | 6228.52i | −0.0298728 | − | 0.398625i | ||||
\(626\) | −7911.68 | − | 2440.43i | −0.505135 | − | 0.155813i | ||||
\(627\) | 664.315 | + | 1692.65i | 0.0423129 | + | 0.107811i | ||||
\(628\) | −8436.89 | + | 2602.43i | −0.536096 | + | 0.165364i | ||||
\(629\) | −785.086 | − | 984.466i | −0.0497670 | − | 0.0624058i | ||||
\(630\) | −14846.1 | − | 16612.1i | −0.938861 | − | 1.05054i | ||||
\(631\) | −1766.26 | + | 2214.82i | −0.111432 | + | 0.139732i | −0.834420 | − | 0.551130i | \(-0.814197\pi\) |
0.722987 | + | 0.690861i | \(0.242768\pi\) | |||||||
\(632\) | 19650.6 | − | 50069.0i | 1.23681 | − | 3.15133i | ||||
\(633\) | 199.320 | − | 2659.74i | 0.0125154 | − | 0.167007i | ||||
\(634\) | −21673.4 | + | 3266.75i | −1.35767 | + | 0.204636i | ||||
\(635\) | −12701.5 | + | 11785.3i | −0.793770 | + | 0.736511i | ||||
\(636\) | −2656.79 | −0.165642 | ||||||||
\(637\) | 7454.95 | + | 21302.2i | 0.463699 | + | 1.32500i | ||||
\(638\) | −34752.0 | −2.15650 | ||||||||
\(639\) | −9731.34 | + | 9029.36i | −0.602450 | + | 0.558992i | ||||
\(640\) | −12372.8 | + | 1864.90i | −0.764186 | + | 0.115182i | ||||
\(641\) | 38.2056 | − | 509.818i | 0.00235418 | − | 0.0314144i | −0.995903 | − | 0.0904280i | \(-0.971176\pi\) |
0.998257 | + | 0.0590136i | \(0.0187955\pi\) | |||||||
\(642\) | 849.075 | − | 2163.41i | 0.0521968 | − | 0.132995i | ||||
\(643\) | −12044.7 | + | 15103.6i | −0.738721 | + | 0.926326i | −0.999234 | − | 0.0391441i | \(-0.987537\pi\) |
0.260513 | + | 0.965470i | \(0.416108\pi\) | |||||||
\(644\) | −2098.23 | + | 2957.31i | −0.128388 | + | 0.180954i | ||||
\(645\) | −525.792 | − | 659.322i | −0.0320977 | − | 0.0402493i | ||||
\(646\) | −5820.37 | + | 1795.35i | −0.354489 | + | 0.109345i | ||||
\(647\) | 936.936 | + | 2387.27i | 0.0569316 | + | 0.145059i | 0.956510 | − | 0.291701i | \(-0.0942211\pi\) |
−0.899578 | + | 0.436760i | \(0.856126\pi\) | |||||||
\(648\) | −43537.5 | − | 13429.5i | −2.63937 | − | 0.814138i | ||||
\(649\) | 384.916 | + | 5136.34i | 0.0232808 | + | 0.310661i | ||||
\(650\) | 4107.47 | + | 17996.0i | 0.247859 | + | 1.08594i | ||||
\(651\) | 906.018 | − | 2753.55i | 0.0545463 | − | 0.165776i | ||||
\(652\) | −8420.74 | + | 36893.7i | −0.505800 | + | 2.21605i | ||||
\(653\) | −6083.78 | − | 916.982i | −0.364589 | − | 0.0549530i | −0.0358069 | − | 0.999359i | \(-0.511400\pi\) |
−0.328782 | + | 0.944406i | \(0.606638\pi\) | |||||||
\(654\) | −4131.54 | + | 2816.83i | −0.247027 | + | 0.168420i | ||||
\(655\) | 5208.68 | − | 9021.69i | 0.310717 | − | 0.538178i | ||||
\(656\) | 39481.6 | + | 68384.1i | 2.34984 | + | 4.07005i | ||||
\(657\) | −27420.5 | − | 13205.0i | −1.62827 | − | 0.784134i | ||||
\(658\) | −492.256 | + | 26350.5i | −0.0291644 | + | 1.56117i | ||||
\(659\) | 19632.7 | − | 9454.62i | 1.16052 | − | 0.558877i | 0.248342 | − | 0.968672i | \(-0.420114\pi\) |
0.912177 | + | 0.409796i | \(0.134400\pi\) | |||||||
\(660\) | −2658.96 | − | 1812.85i | −0.156818 | − | 0.106917i | ||||
\(661\) | −8415.84 | − | 7808.76i | −0.495217 | − | 0.459494i | 0.392588 | − | 0.919715i | \(-0.371580\pi\) |
−0.887805 | + | 0.460220i | \(0.847770\pi\) | |||||||
\(662\) | 20323.4 | + | 18857.4i | 1.19319 | + | 1.10712i | ||||
\(663\) | −394.502 | − | 268.967i | −0.0231089 | − | 0.0157554i | ||||
\(664\) | 23795.2 | − | 11459.2i | 1.39071 | − | 0.669732i | ||||
\(665\) | 15000.1 | − | 3130.10i | 0.874703 | − | 0.182527i | ||||
\(666\) | 13644.8 | + | 6570.97i | 0.793879 | + | 0.382312i | ||||
\(667\) | 1042.01 | + | 1804.81i | 0.0604899 | + | 0.104772i | ||||
\(668\) | −26808.7 | + | 46434.1i | −1.55279 | + | 2.68951i | ||||
\(669\) | −3144.50 | + | 2143.88i | −0.181724 | + | 0.123897i | ||||
\(670\) | 23372.9 | + | 3522.90i | 1.34772 | + | 0.203137i | ||||
\(671\) | 4906.81 | − | 21498.2i | 0.282303 | − | 1.23685i | ||||
\(672\) | 3646.53 | − | 3785.68i | 0.209327 | − | 0.217315i | ||||
\(673\) | −1764.85 | − | 7732.32i | −0.101085 | − | 0.442881i | −0.999989 | − | 0.00473550i | \(-0.998493\pi\) |
0.898904 | − | 0.438145i | \(-0.144365\pi\) | |||||||
\(674\) | −215.372 | − | 2873.94i | −0.0123083 | − | 0.164243i | ||||
\(675\) | 1666.98 | + | 514.196i | 0.0950550 | + | 0.0293206i | ||||
\(676\) | 15792.3 | + | 40238.2i | 0.898517 | + | 2.28938i | ||||
\(677\) | 16130.4 | − | 4975.57i | 0.915718 | − | 0.282462i | 0.199142 | − | 0.979971i | \(-0.436184\pi\) |
0.716576 | + | 0.697509i | \(0.245708\pi\) | |||||||
\(678\) | 1662.72 | + | 2084.99i | 0.0941837 | + | 0.118103i | ||||
\(679\) | −7842.21 | + | 440.575i | −0.443235 | + | 0.0249009i | ||||
\(680\) | 4068.59 | − | 5101.86i | 0.229446 | − | 0.287716i | ||||
\(681\) | −579.197 | + | 1475.77i | −0.0325916 | + | 0.0830420i | ||||
\(682\) | −3055.21 | + | 40769.0i | −0.171540 | + | 2.28904i | ||||
\(683\) | −14772.0 | + | 2226.53i | −0.827579 | + | 0.124737i | −0.549154 | − | 0.835721i | \(-0.685050\pi\) |
−0.278424 | + | 0.960458i | \(0.589812\pi\) | |||||||
\(684\) | 38505.4 | − | 35727.7i | 2.15247 | − | 1.99720i | ||||
\(685\) | 13289.6 | 0.741271 | ||||||||
\(686\) | 20559.8 | − | 26797.6i | 1.14428 | − | 1.49145i | ||||
\(687\) | −1536.68 | −0.0853391 | ||||||||
\(688\) | −21789.5 | + | 20217.7i | −1.20744 | + | 1.12034i | ||||
\(689\) | −13829.6 | + | 2084.48i | −0.764681 | + | 0.115257i | ||||
\(690\) | −20.1137 | + | 268.398i | −0.00110973 | + | 0.0148083i | ||||
\(691\) | −62.7871 | + | 159.979i | −0.00345663 | + | 0.00880736i | −0.932592 | − | 0.360933i | \(-0.882458\pi\) |
0.929135 | + | 0.369741i | \(0.120553\pi\) | |||||||
\(692\) | −8176.27 | + | 10252.7i | −0.449155 | + | 0.563222i | ||||
\(693\) | −14910.8 | + | 837.689i | −0.817338 | + | 0.0459180i | ||||
\(694\) | −15203.3 | − | 19064.3i | −0.831568 | − | 1.04275i | ||||
\(695\) | 3151.75 | − | 972.186i | 0.172018 | − | 0.0530606i | ||||
\(696\) | −3171.24 | − | 8080.18i | −0.172709 | − | 0.440055i | ||||
\(697\) | −4806.80 | − | 1482.70i | −0.261220 | − | 0.0805758i | ||||
\(698\) | 1162.68 | + | 15514.9i | 0.0630490 | + | 0.841331i | ||||
\(699\) | −470.283 | − | 2060.44i | −0.0254474 | − | 0.111492i | ||||
\(700\) | 13741.4 | − | 14265.8i | 0.741965 | − | 0.770279i | ||||
\(701\) | 6678.18 | − | 29259.0i | 0.359816 | − | 1.57646i | −0.393833 | − | 0.919182i | \(-0.628851\pi\) |
0.753649 | − | 0.657277i | \(-0.228292\pi\) | |||||||
\(702\) | 11438.1 | + | 1724.02i | 0.614962 | + | 0.0926907i | ||||
\(703\) | −8606.14 | + | 5867.57i | −0.461717 | + | 0.314793i | ||||
\(704\) | −14682.8 | + | 25431.3i | −0.786049 | + | 1.36148i | ||||
\(705\) | 701.339 | + | 1214.76i | 0.0374666 | + | 0.0648941i | ||||
\(706\) | 11024.2 | + | 5308.95i | 0.587676 | + | 0.283010i | ||||
\(707\) | −14002.0 | + | 2921.84i | −0.744837 | + | 0.155427i | ||||
\(708\) | −1914.84 | + | 922.139i | −0.101644 | + | 0.0489493i | ||||
\(709\) | −30792.0 | − | 20993.6i | −1.63106 | − | 1.11204i | −0.905938 | − | 0.423410i | \(-0.860833\pi\) |
−0.725118 | − | 0.688625i | \(-0.758215\pi\) | |||||||
\(710\) | 16520.3 | + | 15328.6i | 0.873235 | + | 0.810244i | ||||
\(711\) | −16087.5 | − | 14927.0i | −0.848564 | − | 0.787352i | ||||
\(712\) | −41436.2 | − | 28250.7i | −2.18102 | − | 1.48699i | ||||
\(713\) | 2208.91 | − | 1063.75i | 0.116023 | − | 0.0558736i | ||||
\(714\) | −13.3464 | + | 714.436i | −0.000699549 | + | 0.0374469i | ||||
\(715\) | −15263.2 | − | 7350.37i | −0.798337 | − | 0.384459i | ||||
\(716\) | −6845.63 | − | 11857.0i | −0.357309 | − | 0.618878i | ||||
\(717\) | 1277.98 | − | 2213.53i | 0.0665649 | − | 0.115294i | ||||
\(718\) | 53562.3 | − | 36518.2i | 2.78402 | − | 1.89811i | ||||
\(719\) | −8277.42 | − | 1247.62i | −0.429340 | − | 0.0647126i | −0.0691824 | − | 0.997604i | \(-0.522039\pi\) |
−0.360158 | + | 0.932891i | \(0.617277\pi\) | |||||||
\(720\) | −9300.23 | + | 40747.0i | −0.481388 | + | 2.10910i | ||||
\(721\) | 1588.59 | − | 4828.00i | 0.0820555 | − | 0.249381i | ||||
\(722\) | 3096.56 | + | 13566.9i | 0.159615 | + | 0.699319i | ||||
\(723\) | 106.415 | + | 1420.01i | 0.00547389 | + | 0.0730440i | ||||
\(724\) | 24337.9 | + | 7507.23i | 1.24932 | + | 0.385365i | ||||
\(725\) | −4159.07 | − | 10597.1i | −0.213054 | − | 0.542852i | ||||
\(726\) | 1295.06 | − | 399.473i | 0.0662040 | − | 0.0204212i | ||||
\(727\) | 21813.1 | + | 27352.8i | 1.11280 | + | 1.39541i | 0.909205 | + | 0.416350i | \(0.136691\pi\) |
0.203594 | + | 0.979055i | \(0.434738\pi\) | |||||||
\(728\) | 46005.8 | − | 64842.0i | 2.34215 | − | 3.30110i | ||||
\(729\) | −11247.3 | + | 14103.7i | −0.571424 | + | 0.716543i | ||||
\(730\) | −18876.0 | + | 48095.2i | −0.957029 | + | 2.43847i | ||||
\(731\) | 141.506 | − | 1888.27i | 0.00715978 | − | 0.0955407i | ||||
\(732\) | 8997.12 | − | 1356.10i | 0.454294 | − | 0.0684738i | ||||
\(733\) | −18640.1 | + | 17295.5i | −0.939274 | + | 0.871519i | −0.991890 | − | 0.127096i | \(-0.959434\pi\) |
0.0526162 | + | 0.998615i | \(0.483244\pi\) | |||||||
\(734\) | −27595.4 | −1.38769 | ||||||||
\(735\) | 201.196 | − | 1786.34i | 0.0100969 | − | 0.0896463i | ||||
\(736\) | 4445.61 | 0.222646 | ||||||||
\(737\) | 11614.8 | − | 10776.9i | 0.580509 | − | 0.538634i | ||||
\(738\) | 59825.0 | − | 9017.17i | 2.98399 | − | 0.449765i | ||||
\(739\) | −1400.01 | + | 18681.8i | −0.0696890 | + | 0.929936i | 0.847323 | + | 0.531077i | \(0.178213\pi\) |
−0.917012 | + | 0.398859i | \(0.869406\pi\) | |||||||
\(740\) | 6734.91 | − | 17160.3i | 0.334568 | − | 0.852464i | ||||
\(741\) | −2462.57 | + | 3087.96i | −0.122084 | + | 0.153089i | ||||
\(742\) | 13947.4 | + | 15606.5i | 0.690062 | + | 0.772147i | ||||
\(743\) | −8026.75 | − | 10065.2i | −0.396329 | − | 0.496981i | 0.543127 | − | 0.839651i | \(-0.317240\pi\) |
−0.939456 | + | 0.342669i | \(0.888669\pi\) | |||||||
\(744\) | −9757.98 | + | 3009.94i | −0.480840 | + | 0.148320i | ||||
\(745\) | −2035.75 | − | 5187.00i | −0.100113 | − | 0.255083i | ||||
\(746\) | −31055.7 | − | 9579.42i | −1.52417 | − | 0.470144i | ||||
\(747\) | −805.287 | − | 10745.8i | −0.0394430 | − | 0.526330i | ||||
\(748\) | −1607.95 | − | 7044.89i | −0.0785995 | − | 0.344367i | ||||
\(749\) | −12308.1 | + | 4567.18i | −0.600440 | + | 0.222805i | ||||
\(750\) | 1102.26 | − | 4829.30i | 0.0536649 | − | 0.235121i | ||||
\(751\) | 4673.14 | + | 704.363i | 0.227064 | + | 0.0342245i | 0.261589 | − | 0.965179i | \(-0.415754\pi\) |
−0.0345244 | + | 0.999404i | \(0.510992\pi\) | |||||||
\(752\) | 40850.0 | − | 27851.0i | 1.98091 | − | 1.35056i | ||||
\(753\) | 605.316 | − | 1048.44i | 0.0292948 | − | 0.0507400i | ||||
\(754\) | −37742.7 | − | 65372.3i | −1.82295 | − | 3.15745i | ||||
\(755\) | −2325.46 | − | 1119.88i | −0.112096 | − | 0.0539825i | ||||
\(756\) | −5175.76 | − | 11281.9i | −0.248996 | − | 0.542750i | ||||
\(757\) | 28086.0 | − | 13525.5i | 1.34848 | − | 0.649395i | 0.386445 | − | 0.922312i | \(-0.373703\pi\) |
0.962037 | + | 0.272917i | \(0.0879886\pi\) | |||||||
\(758\) | −31255.1 | − | 21309.4i | −1.49767 | − | 1.02110i | ||||
\(759\) | 132.256 | + | 122.716i | 0.00632488 | + | 0.00586863i | ||||
\(760\) | −39569.9 | − | 36715.5i | −1.88862 | − | 1.75238i | ||||
\(761\) | −14603.6 | − | 9956.55i | −0.695636 | − | 0.474277i | 0.163156 | − | 0.986600i | \(-0.447833\pi\) |
−0.858793 | + | 0.512323i | \(0.828785\pi\) | |||||||
\(762\) | −6021.94 | + | 2900.01i | −0.286288 | + | 0.137869i | ||||
\(763\) | 27416.0 | + | 6798.68i | 1.30082 | + | 0.322580i | ||||
\(764\) | 60095.6 | + | 28940.5i | 2.84579 | + | 1.37046i | ||||
\(765\) | −1331.25 | − | 2305.80i | −0.0629171 | − | 0.108976i | ||||
\(766\) | 32205.3 | − | 55781.2i | 1.51909 | − | 2.63114i | ||||
\(767\) | −9243.97 | + | 6302.43i | −0.435177 | + | 0.296698i | ||||
\(768\) | −44.1448 | − | 6.65376i | −0.00207414 | − | 0.000312626i | ||||
\(769\) | −4847.60 | + | 21238.7i | −0.227320 | + | 0.995954i | 0.724495 | + | 0.689280i | \(0.242073\pi\) |
−0.951815 | + | 0.306673i | \(0.900784\pi\) | |||||||
\(770\) | 3309.78 | + | 25136.2i | 0.154904 | + | 1.17642i | ||||
\(771\) | 473.393 | + | 2074.07i | 0.0221126 | + | 0.0968817i | ||||
\(772\) | −171.254 | − | 2285.22i | −0.00798389 | − | 0.106538i | ||||
\(773\) | −501.004 | − | 154.539i | −0.0233116 | − | 0.00719067i | 0.283077 | − | 0.959097i | \(-0.408645\pi\) |
−0.306389 | + | 0.951906i | \(0.599121\pi\) | |||||||
\(774\) | 8320.46 | + | 21200.2i | 0.386399 | + | 0.984528i | ||||
\(775\) | −12797.6 | + | 3947.53i | −0.593164 | + | 0.182967i | ||||
\(776\) | 17251.8 | + | 21633.0i | 0.798070 | + | 1.00075i | ||||
\(777\) | 338.305 | + | 1174.19i | 0.0156199 | + | 0.0542134i | ||||
\(778\) | −4464.65 | + | 5598.49i | −0.205739 | + | 0.257989i | ||||
\(779\) | −15202.2 | + | 38734.5i | −0.699197 | + | 1.78153i | ||||
\(780\) | 522.377 | − | 6970.64i | 0.0239796 | − | 0.319986i | ||||
\(781\) | 14937.9 | − | 2251.53i | 0.684406 | − | 0.103158i | ||||
\(782\) | −443.023 | + | 411.066i | −0.0202589 | + | 0.0187975i | ||||
\(783\) | −7133.89 | −0.325600 | ||||||||
\(784\) | −63317.8 | − | 2366.51i | −2.88437 | − | 0.107804i | ||||
\(785\) | 3702.01 | 0.168319 | ||||||||
\(786\) | 2945.77 | − | 2733.27i | 0.133679 | − | 0.124036i | ||||
\(787\) | −14956.9 | + | 2254.38i | −0.677451 | + | 0.102109i | −0.478751 | − | 0.877951i | \(-0.658910\pi\) |
−0.198701 | + | 0.980060i | \(0.563672\pi\) | |||||||
\(788\) | 3048.05 | − | 40673.4i | 0.137795 | − | 1.83875i | ||||
\(789\) | 541.662 | − | 1380.13i | 0.0244406 | − | 0.0622737i | ||||
\(790\) | −23228.9 | + | 29128.2i | −1.04614 | + | 1.31182i | ||||
\(791\) | 2523.05 | − | 14851.5i | 0.113412 | − | 0.667583i | ||||
\(792\) | 32801.7 | + | 41132.1i | 1.47167 | + | 1.84541i | ||||
\(793\) | 45769.4 | − | 14118.0i | 2.04958 | − | 0.632213i | ||||
\(794\) | 6267.20 | + | 15968.6i | 0.280119 | + | 0.713732i | ||||
\(795\) | 1064.49 | + | 328.351i | 0.0474886 | + | 0.0146483i | ||||
\(796\) | −3249.39 | − | 43360.1i | −0.144688 | − | 1.93073i | ||||
\(797\) | −5695.25 | − | 24952.5i | −0.253119 | − | 1.10899i | −0.928445 | − | 0.371469i | \(-0.878854\pi\) |
0.675326 | − | 0.737519i | \(-0.264003\pi\) | |||||||
\(798\) | 5885.11 | + | 551.740i | 0.261066 | + | 0.0244754i | ||||
\(799\) | −700.850 | + | 3070.62i | −0.0310316 | + | 0.135959i | ||||
\(800\) | −24013.2 | − | 3619.40i | −1.06124 | − | 0.159957i | ||||
\(801\) | −16906.6 | + | 11526.7i | −0.745772 | + | 0.508459i | ||||
\(802\) | 8792.97 | − | 15229.9i | 0.387145 | − | 0.670555i | ||||
\(803\) | 17316.7 | + | 29993.4i | 0.761013 | + | 1.31811i | ||||
\(804\) | 5890.31 | + | 2836.62i | 0.258377 | + | 0.124428i | ||||
\(805\) | 1206.18 | − | 925.577i | 0.0528104 | − | 0.0405246i | ||||
\(806\) | −80009.0 | + | 38530.3i | −3.49652 | + | 1.68384i | ||||
\(807\) | 1711.86 | + | 1167.13i | 0.0746721 | + | 0.0509106i | ||||
\(808\) | 36937.0 | + | 34272.5i | 1.60822 | + | 1.49221i | ||||
\(809\) | 18132.9 | + | 16824.9i | 0.788032 | + | 0.731187i | 0.967581 | − | 0.252562i | \(-0.0812732\pi\) |
−0.179549 | + | 0.983749i | \(0.557464\pi\) | |||||||
\(810\) | 26075.1 | + | 17777.7i | 1.13109 | + | 0.771167i | ||||
\(811\) | 10723.1 | − | 5163.97i | 0.464290 | − | 0.223590i | −0.187089 | − | 0.982343i | \(-0.559905\pi\) |
0.651379 | + | 0.758753i | \(0.274191\pi\) | |||||||
\(812\) | −36502.0 | + | 72310.2i | −1.57755 | + | 3.12511i | ||||
\(813\) | −399.070 | − | 192.182i | −0.0172153 | − | 0.00829043i | ||||
\(814\) | −8617.00 | − | 14925.1i | −0.371039 | − | 0.642659i | ||||
\(815\) | 7933.57 | − | 13741.4i | 0.340983 | − | 0.590599i | ||||
\(816\) | 1107.56 | − | 755.119i | 0.0475150 | − | 0.0323952i | ||||
\(817\) | −15488.8 | − | 2334.56i | −0.663261 | − | 0.0999706i | ||||
\(818\) | −785.463 | + | 3441.34i | −0.0335734 | + | 0.147095i | ||||
\(819\) | −17769.8 | − | 27139.1i | −0.758153 | − | 1.15790i | ||||
\(820\) | −16387.3 | − | 71797.6i | −0.697891 | − | 3.05766i | ||||
\(821\) | 2643.95 | + | 35281.0i | 0.112393 | + | 1.49978i | 0.713527 | + | 0.700627i | \(0.247096\pi\) |
−0.601135 | + | 0.799148i | \(0.705285\pi\) | |||||||
\(822\) | 4898.72 | + | 1511.06i | 0.207862 | + | 0.0641169i | ||||
\(823\) | −7230.68 | − | 18423.5i | −0.306252 | − | 0.780318i | −0.998290 | − | 0.0584569i | \(-0.981382\pi\) |
0.692038 | − | 0.721862i | \(-0.256713\pi\) | |||||||
\(824\) | −17109.4 | + | 5277.54i | −0.723342 | + | 0.223121i | ||||
\(825\) | −614.477 | − | 770.530i | −0.0259313 | − | 0.0325169i | ||||
\(826\) | 15469.2 | + | 6407.18i | 0.651626 | + | 0.269896i | ||||
\(827\) | −20978.5 | + | 26306.2i | −0.882097 | + | 1.10611i | 0.111571 | + | 0.993756i | \(0.464412\pi\) |
−0.993668 | + | 0.112358i | \(0.964160\pi\) | |||||||
\(828\) | 1904.10 | − | 4851.57i | 0.0799179 | − | 0.203628i | ||||
\(829\) | 472.629 | − | 6306.79i | 0.0198011 | − | 0.264227i | −0.978513 | − | 0.206185i | \(-0.933895\pi\) |
0.998314 | − | 0.0580420i | \(-0.0184857\pi\) | |||||||
\(830\) | −18089.4 | + | 2726.53i | −0.756495 | + | 0.114023i | ||||
\(831\) | 875.151 | − | 812.022i | 0.0365327 | − | 0.0338974i | ||||
\(832\) | −63785.5 | −2.65789 | ||||||||
\(833\) | 3059.38 | − | 2633.04i | 0.127253 | − | 0.109519i | ||||
\(834\) | 1272.31 | 0.0528256 | ||||||||
\(835\) | 16480.1 | − | 15291.3i | 0.683016 | − | 0.633746i | ||||
\(836\) | −59107.0 | + | 8908.94i | −2.44528 | + | 0.368567i | ||||
\(837\) | −627.174 | + | 8369.06i | −0.0259000 | + | 0.345612i | ||||
\(838\) | −11033.6 | + | 28113.1i | −0.454832 | + | 1.15889i | ||||
\(839\) | −3048.57 | + | 3822.78i | −0.125445 | + | 0.157303i | −0.840588 | − | 0.541675i | \(-0.817790\pi\) |
0.715143 | + | 0.698978i | \(0.246362\pi\) | |||||||
\(840\) | −5542.38 | + | 3063.32i | −0.227655 | + | 0.125827i | ||||
\(841\) | 13819.7 | + | 17329.3i | 0.566636 | + | 0.710539i | ||||
\(842\) | 61081.6 | − | 18841.2i | 2.50001 | − | 0.771152i | ||||
\(843\) | −891.158 | − | 2270.63i | −0.0364094 | − | 0.0927696i | ||||
\(844\) | 83783.9 | + | 25843.9i | 3.41702 | + | 1.05401i | ||||
\(845\) | −1354.45 | − | 18073.9i | −0.0551414 | − | 0.735811i | ||||
\(846\) | −8429.34 | − | 36931.3i | −0.342561 | − | 1.50086i | ||||
\(847\) | −6557.35 | − | 3951.00i | −0.266013 | − | 0.160281i | ||||
\(848\) | 8737.27 | − | 38280.5i | 0.353819 | − | 1.55018i | ||||
\(849\) | −283.401 | − | 42.7158i | −0.0114562 | − | 0.00172674i | ||||
\(850\) | 2727.68 | − | 1859.70i | 0.110069 | − | 0.0750438i | ||||
\(851\) | −516.747 | + | 895.032i | −0.0208153 | + | 0.0360532i | ||||
\(852\) | 3116.67 | + | 5398.23i | 0.125323 | + | 0.217066i | ||||
\(853\) | −40547.9 | − | 19526.9i | −1.62759 | − | 0.783806i | −0.999986 | − | 0.00527357i | \(-0.998321\pi\) |
−0.627604 | − | 0.778533i | \(-0.715964\pi\) | |||||||
\(854\) | −55198.4 | − | 45731.7i | −2.21177 | − | 1.83244i | ||||
\(855\) | −19843.4 | + | 9556.07i | −0.793718 | + | 0.382235i | ||||
\(856\) | 38211.3 | + | 26052.1i | 1.52574 | + | 1.04023i | ||||
\(857\) | −24719.2 | − | 22936.0i | −0.985286 | − | 0.914212i | 0.0110324 | − | 0.999939i | \(-0.496488\pi\) |
−0.996319 | + | 0.0857271i | \(0.972679\pi\) | |||||||
\(858\) | −4790.45 | − | 4444.89i | −0.190610 | − | 0.176860i | ||||
\(859\) | 40169.3 | + | 27386.9i | 1.59553 | + | 1.08781i | 0.944378 | + | 0.328863i | \(0.106665\pi\) |
0.651150 | + | 0.758949i | \(0.274287\pi\) | |||||||
\(860\) | 24976.7 | − | 12028.2i | 0.990348 | − | 0.476927i | ||||
\(861\) | 3759.05 | + | 3114.36i | 0.148790 | + | 0.123272i | ||||
\(862\) | 38683.1 | + | 18628.8i | 1.52848 | + | 0.736078i | ||||
\(863\) | 798.798 | + | 1383.56i | 0.0315080 | + | 0.0545735i | 0.881349 | − | 0.472465i | \(-0.156636\pi\) |
−0.849841 | + | 0.527038i | \(0.823302\pi\) | |||||||
\(864\) | −7608.99 | + | 13179.1i | −0.299610 | + | 0.518940i | ||||
\(865\) | 4543.08 | − | 3097.42i | 0.178577 | − | 0.121752i | ||||
\(866\) | 30449.9 | + | 4589.58i | 1.19484 | + | 0.180093i | ||||
\(867\) | 655.123 | − | 2870.28i | 0.0256622 | − | 0.112434i | ||||
\(868\) | 81620.9 | + | 49179.0i | 3.19170 | + | 1.92309i | ||||
\(869\) | 5557.19 | + | 24347.6i | 0.216933 | + | 0.950445i | ||||
\(870\) | 449.312 | + | 5995.65i | 0.0175093 | + | 0.233645i | ||||
\(871\) | 32886.8 | + | 10144.2i | 1.27937 | + | 0.394632i | ||||
\(872\) | −36353.3 | − | 92626.6i | −1.41179 | − | 3.59717i | ||||
\(873\) | 10788.1 | − | 3327.68i | 0.418237 | − | 0.129009i | ||||
\(874\) | 3117.00 | + | 3908.59i | 0.120634 | + | 0.151270i | ||||
\(875\) | −24489.7 | + | 13535.6i | −0.946174 | + | 0.522958i | ||||
\(876\) | −8909.99 | + | 11172.8i | −0.343654 | + | 0.430928i | ||||
\(877\) | 2554.33 | − | 6508.32i | 0.0983506 | − | 0.250593i | −0.873227 | − | 0.487313i | \(-0.837977\pi\) |
0.971578 | + | 0.236720i | \(0.0760723\pi\) | |||||||
\(878\) | −3572.39 | + | 47670.2i | −0.137315 | + | 1.83234i | ||||
\(879\) | −1541.65 | + | 232.367i | −0.0591566 | + | 0.00891642i | ||||
\(880\) | 34864.8 | − | 32349.8i | 1.33556 | − | 1.23922i | ||||
\(881\) | 30494.0 | 1.16614 | 0.583070 | − | 0.812422i | \(-0.301851\pi\) | ||||
0.583070 | + | 0.812422i | \(0.301851\pi\) | |||||||
\(882\) | −19411.8 | + | 44497.4i | −0.741076 | + | 1.69876i | ||||
\(883\) | 8614.02 | 0.328295 | 0.164148 | − | 0.986436i | \(-0.447513\pi\) | ||||
0.164148 | + | 0.986436i | \(0.447513\pi\) | |||||||
\(884\) | 11505.9 | − | 10675.9i | 0.437765 | − | 0.406186i | ||||
\(885\) | 881.179 | − | 132.816i | 0.0334695 | − | 0.00504472i | ||||
\(886\) | −1851.20 | + | 24702.5i | −0.0701945 | + | 0.936680i | ||||
\(887\) | −5488.37 | + | 13984.1i | −0.207758 | + | 0.529359i | −0.996331 | − | 0.0855823i | \(-0.972725\pi\) |
0.788573 | + | 0.614941i | \(0.210820\pi\) | |||||||
\(888\) | 2683.90 | − | 3365.50i | 0.101425 | − | 0.127183i | ||||
\(889\) | 34882.1 | + | 14447.8i | 1.31598 | + | 0.545065i | ||||
\(890\) | 21658.3 | + | 27158.7i | 0.815718 | + | 1.02288i | ||||
\(891\) | 20214.8 | − | 6235.43i | 0.760068 | − | 0.234450i | ||||
\(892\) | −45707.3 | − | 116460.i | −1.71569 | − | 4.37150i | ||||
\(893\) | 24896.2 | + | 7679.46i | 0.932945 | + | 0.287775i | ||||
\(894\) | −160.630 | − | 2143.46i | −0.00600926 | − | 0.0801879i | ||||
\(895\) | 1277.42 | + | 5596.75i | 0.0477089 | + | 0.209026i | ||||
\(896\) | 14935.6 | + | 22810.6i | 0.556880 | + | 0.850500i | ||||
\(897\) | −87.2035 | + | 382.064i | −0.00324598 | + | 0.0142216i | ||||
\(898\) | 57060.6 | + | 8600.49i | 2.12042 | + | 0.319602i | ||||
\(899\) | 45251.1 | − | 30851.7i | 1.67876 | − | 1.14456i | ||||
\(900\) | −14235.0 | + | 24655.7i | −0.527222 | + | 0.913176i | ||||
\(901\) | 1250.67 | + | 2166.22i | 0.0462440 | + | 0.0800969i | ||||
\(902\) | −62029.8 | − | 29872.0i | −2.28976 | − | 1.10269i | ||||
\(903\) | −828.083 | + | 1640.43i | −0.0305170 | + | 0.0604541i | ||||
\(904\) | −47812.3 | + | 23025.2i | −1.75909 | + | 0.847131i | ||||
\(905\) | −8823.55 | − | 6015.80i | −0.324094 | − | 0.220963i | ||||
\(906\) | −729.861 | − | 677.212i | −0.0267638 | − | 0.0248332i | ||||
\(907\) | −38537.9 | − | 35757.9i | −1.41084 | − | 1.30907i | −0.890410 | − | 0.455160i | \(-0.849582\pi\) |
−0.520427 | − | 0.853906i | \(-0.674227\pi\) | |||||||
\(908\) | −43060.0 | − | 29357.8i | −1.57379 | − | 1.07299i | ||||
\(909\) | 18523.1 | − | 8920.23i | 0.675876 | − | 0.325485i | ||||
\(910\) | −43689.3 | + | 33525.4i | −1.59152 | + | 1.22127i | ||||
\(911\) | 9478.57 | + | 4564.64i | 0.344719 | + | 0.166008i | 0.598230 | − | 0.801325i | \(-0.295871\pi\) |
−0.253511 | + | 0.967333i | \(0.581585\pi\) | |||||||
\(912\) | −5544.29 | − | 9602.99i | −0.201304 | − | 0.348670i | ||||
\(913\) | −6131.34 | + | 10619.8i | −0.222254 | + | 0.384955i | ||||
\(914\) | −80850.4 | + | 55122.9i | −2.92592 | + | 1.99486i | ||||
\(915\) | −3772.44 | − | 568.604i | −0.136299 | − | 0.0205437i | ||||
\(916\) | 11240.8 | − | 49248.9i | 0.405464 | − | 1.77645i | ||||
\(917\) | −22600.6 | − | 2118.85i | −0.813892 | − | 0.0763039i | ||||
\(918\) | −460.350 | − | 2016.93i | −0.0165510 | − | 0.0725146i | ||||
\(919\) | 1582.51 | + | 21117.1i | 0.0568031 | + | 0.757985i | 0.950779 | + | 0.309870i | \(0.100285\pi\) |
−0.893976 | + | 0.448115i | \(0.852095\pi\) | |||||||
\(920\) | −5117.98 | − | 1578.69i | −0.183407 | − | 0.0565737i | ||||
\(921\) | −240.119 | − | 611.813i | −0.00859086 | − | 0.0218892i | ||||
\(922\) | −58866.7 | + | 18158.0i | −2.10268 | + | 0.648592i | ||||
\(923\) | 20458.8 | + | 25654.5i | 0.729588 | + | 0.914875i | ||||
\(924\) | −1174.48 | + | 6913.38i | −0.0418156 | + | 0.246140i | ||||
\(925\) | 3519.93 | − | 4413.85i | 0.125118 | − | 0.156893i | ||||
\(926\) | −255.955 | + | 652.163i | −0.00908337 | + | 0.0231441i | ||||
\(927\) | −545.936 | + | 7285.01i | −0.0193429 | + | 0.258113i | ||||
\(928\) | 98199.5 | − | 14801.2i | 3.47366 | − | 0.523570i | ||||
\(929\) | 28141.1 | − | 26111.1i | 0.993843 | − | 0.922151i | −0.00312295 | − | 0.999995i | \(-0.500994\pi\) |
0.996966 | + | 0.0778439i | \(0.0248036\pi\) | |||||||
\(930\) | 7073.24 | 0.249398 | ||||||||
\(931\) | −19828.6 | − | 26864.4i | −0.698019 | − | 0.945699i | ||||
\(932\) | 69475.2 | 2.44178 | ||||||||
\(933\) | −2953.70 | + | 2740.64i | −0.103644 | + | 0.0961677i | ||||
\(934\) | −48906.9 | + | 7371.54i | −1.71337 | + | 0.258248i | ||||
\(935\) | −226.421 | + | 3021.38i | −0.00791952 | + | 0.105679i | ||||
\(936\) | −41749.3 | + | 106375.i | −1.45792 | + | 3.71473i | ||||
\(937\) | −4879.06 | + | 6118.15i | −0.170109 | + | 0.213310i | −0.859577 | − | 0.511006i | \(-0.829273\pi\) |
0.689468 | + | 0.724316i | \(0.257844\pi\) | |||||||
\(938\) | −14259.6 | − | 49492.3i | −0.496368 | − | 1.72280i | ||||
\(939\) | 598.674 | + | 750.714i | 0.0208062 | + | 0.0260901i | ||||
\(940\) | −44061.9 | + | 13591.3i | −1.52887 | + | 0.471595i | ||||
\(941\) | 4327.92 | + | 11027.4i | 0.149932 | + | 0.382021i | 0.986032 | − | 0.166557i | \(-0.0532649\pi\) |
−0.836100 | + | 0.548577i | \(0.815170\pi\) | |||||||
\(942\) | 1364.61 | + | 420.926i | 0.0471988 | + | 0.0145589i | ||||
\(943\) | 308.537 | + | 4117.15i | 0.0106547 | + | 0.142177i | ||||
\(944\) | −6989.42 | − | 30622.7i | −0.240981 | − | 1.05581i | ||||
\(945\) | 679.432 | + | 5159.96i | 0.0233883 | + | 0.177623i | ||||
\(946\) | 5767.00 | − | 25266.9i | 0.198204 | − | 0.868390i | ||||
\(947\) | 13433.1 | + | 2024.72i | 0.460948 | + | 0.0694768i | 0.375412 | − | 0.926858i | \(-0.377501\pi\) |
0.0855368 | + | 0.996335i | \(0.472739\pi\) | |||||||
\(948\) | −8514.18 | + | 5804.87i | −0.291696 | + | 0.198875i | ||||
\(949\) | −37613.9 | + | 65149.2i | −1.28662 | + | 2.22848i | ||||
\(950\) | −13654.4 | − | 23650.2i | −0.466324 | − | 0.807697i | ||||
\(951\) | 2290.19 | + | 1102.90i | 0.0780911 | + | 0.0376067i | ||||
\(952\) | −13801.3 | − | 3422.47i | −0.469855 | − | 0.116516i | ||||
\(953\) | −7813.17 | + | 3762.62i | −0.265575 | + | 0.127894i | −0.561933 | − | 0.827183i | \(-0.689942\pi\) |
0.296358 | + | 0.955077i | \(0.404228\pi\) | |||||||
\(954\) | −24856.9 | − | 16947.1i | −0.843575 | − | 0.575140i | ||||
\(955\) | −20501.6 | − | 19022.7i | −0.694676 | − | 0.644565i | ||||
\(956\) | 61592.8 | + | 57149.8i | 2.08374 | + | 1.93343i | ||||
\(957\) | 3329.98 | + | 2270.34i | 0.112480 | + | 0.0766873i | ||||
\(958\) | 40780.6 | − | 19638.9i | 1.37533 | − | 0.662322i | ||||
\(959\) | −12075.1 | − | 26320.8i | −0.406596 | − | 0.886282i | ||||
\(960\) | 4577.42 | + | 2204.37i | 0.153891 | + | 0.0741101i | ||||
\(961\) | −17319.6 | − | 29998.4i | −0.581370 | − | 1.00696i | ||||
\(962\) | 18717.1 | − | 32419.0i | 0.627302 | − | 1.08652i | ||||
\(963\) | 15590.8 | − | 10629.6i | 0.521709 | − | 0.355695i | ||||
\(964\) | −46288.3 | − | 6976.84i | −1.54652 | − | 0.233100i | ||||
\(965\) | −213.814 | + | 936.778i | −0.00713254 | + | 0.0312497i | ||||
\(966\) | 549.854 | − | 204.034i | 0.0183139 | − | 0.00679574i | ||||
\(967\) | −1010.99 | − | 4429.44i | −0.0336207 | − | 0.147302i | 0.955332 | − | 0.295536i | \(-0.0954983\pi\) |
−0.988952 | + | 0.148234i | \(0.952641\pi\) | |||||||
\(968\) | 2015.39 | + | 26893.6i | 0.0669186 | + | 0.892967i | ||||
\(969\) | 675.005 | + | 208.212i | 0.0223780 | + | 0.00690270i | ||||
\(970\) | −7002.04 | − | 17840.9i | −0.231775 | − | 0.590554i | ||||
\(971\) | 42778.2 | − | 13195.3i | 1.41382 | − | 0.436105i | 0.508583 | − | 0.861013i | \(-0.330170\pi\) |
0.905237 | + | 0.424908i | \(0.139693\pi\) | |||||||
\(972\) | 16724.9 | + | 20972.3i | 0.551903 | + | 0.692065i | ||||
\(973\) | −4789.18 | − | 5358.87i | −0.157795 | − | 0.176565i | ||||
\(974\) | 11311.2 | − | 14183.8i | 0.372110 | − | 0.466611i | ||||
\(975\) | 782.092 | − | 1992.74i | 0.0256892 | − | 0.0654551i | ||||
\(976\) | −10049.0 | + | 134095.i | −0.329572 | + | 4.39783i | ||||
\(977\) | 4207.17 | − | 634.129i | 0.137768 | − | 0.0207652i | −0.0797962 | − | 0.996811i | \(-0.525427\pi\) |
0.217564 | + | 0.976046i | \(0.430189\pi\) | |||||||
\(978\) | 4486.83 | − | 4163.17i | 0.146700 | − | 0.136118i | ||||
\(979\) | 23285.2 | 0.760161 | ||||||||
\(980\) | 55778.5 | + | 19515.1i | 1.81814 | + | 0.636109i | ||||
\(981\) | −40599.5 | −1.32135 | ||||||||
\(982\) | −39727.9 | + | 36862.1i | −1.29101 | + | 1.19788i | ||||
\(983\) | 33640.0 | − | 5070.41i | 1.09150 | − | 0.164518i | 0.421466 | − | 0.906844i | \(-0.361516\pi\) |
0.670039 | + | 0.742326i | \(0.266278\pi\) | |||||||
\(984\) | 1285.10 | − | 17148.5i | 0.0416336 | − | 0.555562i | ||||
\(985\) | −6248.06 | + | 15919.8i | −0.202111 | + | 0.514971i | ||||
\(986\) | −8417.39 | + | 10555.1i | −0.271870 | + | 0.340915i | ||||
\(987\) | 1768.64 | − | 2492.78i | 0.0570381 | − | 0.0803912i | ||||
\(988\) | −80952.3 | − | 101511.i | −2.60672 | − | 3.26872i | ||||
\(989\) | −1485.13 | + | 458.102i | −0.0477496 | + | 0.0147288i | ||||
\(990\) | −13313.4 | − | 33921.9i | −0.427400 | − | 1.08900i | ||||
\(991\) | −33439.0 | − | 10314.6i | −1.07187 | − | 0.330629i | −0.291903 | − | 0.956448i | \(-0.594289\pi\) |
−0.779968 | + | 0.625819i | \(0.784765\pi\) | |||||||
\(992\) | −8730.70 | − | 116503.i | −0.279435 | − | 3.72881i | ||||
\(993\) | −715.467 | − | 3134.66i | −0.0228647 | − | 0.100177i | ||||
\(994\) | 15348.6 | − | 46647.2i | 0.489767 | − | 1.48849i | ||||
\(995\) | −4056.92 | + | 17774.5i | −0.129259 | + | 0.566322i | ||||
\(996\) | −5003.34 | − | 754.133i | −0.159174 | − | 0.0239916i | ||||
\(997\) | 5125.48 | − | 3494.49i | 0.162814 | − | 0.111005i | −0.479172 | − | 0.877721i | \(-0.659063\pi\) |
0.641986 | + | 0.766716i | \(0.278111\pi\) | |||||||
\(998\) | 35144.7 | − | 60872.5i | 1.11472 | − | 1.93075i | ||||
\(999\) | −1768.90 | − | 3063.82i | −0.0560215 | − | 0.0970321i |
(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 | 49.4.g.a.11.13 | yes | 156 | |
49.3 | odd | 42 | 2401.4.a.f.1.2 | 78 | |||
49.9 | even | 21 | inner | 49.4.g.a.9.13 | ✓ | 156 | |
49.46 | even | 21 | 2401.4.a.g.1.2 | 78 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
49.4.g.a.9.13 | ✓ | 156 | 49.9 | even | 21 | inner | |
49.4.g.a.11.13 | yes | 156 | 1.1 | even | 1 | trivial | |
2401.4.a.f.1.2 | 78 | 49.3 | odd | 42 | |||
2401.4.a.g.1.2 | 78 | 49.46 | even | 21 |