Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [38,4,Mod(5,38)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(38, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("38.5");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 38 = 2 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 38.e (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.24207258022\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 6 x^{11} - 135 x^{10} + 730 x^{9} + 7953 x^{8} - 36258 x^{7} - 262940 x^{6} + 918855 x^{5} + \cdots + 272110107 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 5.1 | ||
Root | \(5.05412 - 0.342020i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 38.5 |
Dual form | 38.4.e.a.23.1 |
$q$-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 \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).
\(n\) | \(21\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.87939 | + | 0.684040i | −0.664463 | + | 0.241845i | ||||
\(3\) | −1.54081 | + | 8.73839i | −0.296530 | + | 1.68170i | 0.364389 | + | 0.931247i | \(0.381278\pi\) |
−0.660919 | + | 0.750457i | \(0.729833\pi\) | |||||||
\(4\) | 3.06418 | − | 2.57115i | 0.383022 | − | 0.321394i | ||||
\(5\) | −15.3487 | − | 12.8791i | −1.37283 | − | 1.15194i | −0.971783 | − | 0.235878i | \(-0.924203\pi\) |
−0.401043 | − | 0.916059i | \(-0.631352\pi\) | |||||||
\(6\) | −3.08163 | − | 17.4768i | −0.209678 | − | 1.18914i | ||||
\(7\) | 4.71270 | + | 8.16264i | 0.254462 | + | 0.440741i | 0.964749 | − | 0.263171i | \(-0.0847683\pi\) |
−0.710287 | + | 0.703912i | \(0.751435\pi\) | |||||||
\(8\) | −4.00000 | + | 6.92820i | −0.176777 | + | 0.306186i | ||||
\(9\) | −48.6136 | − | 17.6939i | −1.80051 | − | 0.655330i | ||||
\(10\) | 37.6558 | + | 13.7056i | 1.19078 | + | 0.433409i | ||||
\(11\) | −24.7562 | + | 42.8791i | −0.678572 | + | 1.17532i | 0.296839 | + | 0.954927i | \(0.404067\pi\) |
−0.975411 | + | 0.220393i | \(0.929266\pi\) | |||||||
\(12\) | 17.7464 | + | 30.7376i | 0.426912 | + | 0.739433i | ||||
\(13\) | 3.93183 | + | 22.2985i | 0.0838841 | + | 0.475730i | 0.997592 | + | 0.0693584i | \(0.0220952\pi\) |
−0.913708 | + | 0.406372i | \(0.866794\pi\) | |||||||
\(14\) | −14.4406 | − | 12.1171i | −0.275672 | − | 0.231316i | ||||
\(15\) | 136.192 | − | 114.278i | 2.34430 | − | 1.96710i | ||||
\(16\) | 2.77837 | − | 15.7569i | 0.0434120 | − | 0.246202i | ||||
\(17\) | 30.4142 | − | 11.0699i | 0.433913 | − | 0.157931i | −0.115823 | − | 0.993270i | \(-0.536951\pi\) |
0.549736 | + | 0.835338i | \(0.314728\pi\) | |||||||
\(18\) | 103.467 | 1.35486 | ||||||||
\(19\) | −28.5348 | + | 77.7481i | −0.344544 | + | 0.938770i | ||||
\(20\) | −80.1450 | −0.896048 | ||||||||
\(21\) | −78.5897 | + | 28.6043i | −0.816652 | + | 0.297237i | ||||
\(22\) | 17.1955 | − | 97.5206i | 0.166641 | − | 0.945066i | ||||
\(23\) | −0.237340 | + | 0.199152i | −0.00215169 | + | 0.00180548i | −0.643863 | − | 0.765141i | \(-0.722669\pi\) |
0.641711 | + | 0.766946i | \(0.278225\pi\) | |||||||
\(24\) | −54.3781 | − | 45.6286i | −0.462495 | − | 0.388079i | ||||
\(25\) | 48.0052 | + | 272.251i | 0.384042 | + | 2.17801i | ||||
\(26\) | −22.6425 | − | 39.2180i | −0.170791 | − | 0.295818i | ||||
\(27\) | 109.733 | − | 190.063i | 0.782151 | − | 1.35473i | ||||
\(28\) | 35.4279 | + | 12.8947i | 0.239116 | + | 0.0870312i | ||||
\(29\) | −39.4741 | − | 14.3674i | −0.252764 | − | 0.0919986i | 0.212531 | − | 0.977154i | \(-0.431829\pi\) |
−0.465295 | + | 0.885156i | \(0.654052\pi\) | |||||||
\(30\) | −177.785 | + | 307.933i | −1.08197 | + | 1.87402i | ||||
\(31\) | −0.938479 | − | 1.62549i | −0.00543728 | − | 0.00941765i | 0.863294 | − | 0.504701i | \(-0.168397\pi\) |
−0.868731 | + | 0.495284i | \(0.835064\pi\) | |||||||
\(32\) | 5.55674 | + | 31.5138i | 0.0306970 | + | 0.174091i | ||||
\(33\) | −336.549 | − | 282.398i | −1.77532 | − | 1.48967i | ||||
\(34\) | −49.5877 | + | 41.6090i | −0.250124 | + | 0.209879i | ||||
\(35\) | 32.7934 | − | 185.981i | 0.158374 | − | 0.898185i | ||||
\(36\) | −194.455 | + | 70.7757i | −0.900253 | + | 0.327665i | ||||
\(37\) | 331.421 | 1.47257 | 0.736287 | − | 0.676670i | \(-0.236578\pi\) | ||||
0.736287 | + | 0.676670i | \(0.236578\pi\) | |||||||
\(38\) | 0.445152 | − | 165.638i | 0.00190035 | − | 0.707104i | ||||
\(39\) | −200.911 | −0.824912 | ||||||||
\(40\) | 150.623 | − | 54.8224i | 0.595391 | − | 0.216705i | ||||
\(41\) | −8.17216 | + | 46.3466i | −0.0311287 | + | 0.176540i | −0.996408 | − | 0.0846794i | \(-0.973013\pi\) |
0.965280 | + | 0.261219i | \(0.0841245\pi\) | |||||||
\(42\) | 128.134 | − | 107.517i | 0.470750 | − | 0.395006i | ||||
\(43\) | −293.235 | − | 246.054i | −1.03995 | − | 0.872624i | −0.0479511 | − | 0.998850i | \(-0.515269\pi\) |
−0.992002 | + | 0.126226i | \(0.959714\pi\) | |||||||
\(44\) | 34.3910 | + | 195.041i | 0.117833 | + | 0.668263i | ||||
\(45\) | 518.273 | + | 897.675i | 1.71688 | + | 2.97372i | ||||
\(46\) | 0.309825 | − | 0.536633i | 0.000993070 | − | 0.00172005i | ||||
\(47\) | 115.099 | + | 41.8927i | 0.357212 | + | 0.130014i | 0.514391 | − | 0.857556i | \(-0.328018\pi\) |
−0.157180 | + | 0.987570i | \(0.550240\pi\) | |||||||
\(48\) | 133.409 | + | 48.5570i | 0.401166 | + | 0.146012i | ||||
\(49\) | 127.081 | − | 220.110i | 0.370498 | − | 0.641722i | ||||
\(50\) | −276.451 | − | 478.827i | −0.781922 | − | 1.35433i | ||||
\(51\) | 49.8701 | + | 282.827i | 0.136926 | + | 0.776544i | ||||
\(52\) | 69.3807 | + | 58.2173i | 0.185026 | + | 0.155256i | ||||
\(53\) | −71.6880 | + | 60.1534i | −0.185795 | + | 0.155900i | −0.730941 | − | 0.682441i | \(-0.760919\pi\) |
0.545146 | + | 0.838341i | \(0.316474\pi\) | |||||||
\(54\) | −76.2196 | + | 432.263i | −0.192077 | + | 1.08932i | ||||
\(55\) | 932.217 | − | 339.299i | 2.28546 | − | 0.831838i | ||||
\(56\) | −75.4033 | −0.179932 | ||||||||
\(57\) | −635.426 | − | 369.144i | −1.47657 | − | 0.857795i | ||||
\(58\) | 84.0149 | 0.190202 | ||||||||
\(59\) | −517.526 | + | 188.364i | −1.14197 | + | 0.415642i | −0.842624 | − | 0.538503i | \(-0.818990\pi\) |
−0.299345 | + | 0.954145i | \(0.596768\pi\) | |||||||
\(60\) | 123.489 | − | 700.338i | 0.265705 | − | 1.50689i | ||||
\(61\) | −404.046 | + | 339.035i | −0.848079 | + | 0.711623i | −0.959366 | − | 0.282166i | \(-0.908947\pi\) |
0.111287 | + | 0.993788i | \(0.464503\pi\) | |||||||
\(62\) | 2.87567 | + | 2.41297i | 0.00589048 | + | 0.00494270i | ||||
\(63\) | −84.6726 | − | 480.202i | −0.169329 | − | 0.960314i | ||||
\(64\) | −32.0000 | − | 55.4256i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 226.835 | − | 392.891i | 0.432853 | − | 0.749724i | ||||
\(66\) | 825.678 | + | 300.522i | 1.53991 | + | 0.560480i | ||||
\(67\) | 605.223 | + | 220.283i | 1.10358 | + | 0.401670i | 0.828634 | − | 0.559790i | \(-0.189118\pi\) |
0.274945 | + | 0.961460i | \(0.411340\pi\) | |||||||
\(68\) | 64.7322 | − | 112.119i | 0.115440 | − | 0.199948i | ||||
\(69\) | −1.37457 | − | 2.38082i | −0.00239824 | − | 0.00415388i | ||||
\(70\) | 65.5868 | + | 371.961i | 0.111988 | + | 0.635113i | ||||
\(71\) | 468.607 | + | 393.208i | 0.783288 | + | 0.657257i | 0.944074 | − | 0.329732i | \(-0.106959\pi\) |
−0.160786 | + | 0.986989i | \(0.551403\pi\) | |||||||
\(72\) | 317.042 | − | 266.030i | 0.518940 | − | 0.435443i | ||||
\(73\) | −70.7704 | + | 401.359i | −0.113466 | + | 0.643500i | 0.874032 | + | 0.485869i | \(0.161497\pi\) |
−0.987498 | + | 0.157631i | \(0.949614\pi\) | |||||||
\(74\) | −622.867 | + | 226.705i | −0.978470 | + | 0.356134i | ||||
\(75\) | −2453.00 | −3.77665 | ||||||||
\(76\) | 112.466 | + | 311.601i | 0.169747 | + | 0.470304i | ||||
\(77\) | −466.675 | −0.690683 | ||||||||
\(78\) | 377.590 | − | 137.431i | 0.548123 | − | 0.199501i | ||||
\(79\) | 70.3461 | − | 398.953i | 0.100184 | − | 0.568173i | −0.892851 | − | 0.450353i | \(-0.851298\pi\) |
0.993035 | − | 0.117820i | \(-0.0375907\pi\) | |||||||
\(80\) | −245.578 | + | 206.065i | −0.343206 | + | 0.287984i | ||||
\(81\) | 421.750 | + | 353.890i | 0.578532 | + | 0.485446i | ||||
\(82\) | −16.3443 | − | 92.6933i | −0.0220113 | − | 0.124832i | ||||
\(83\) | 387.299 | + | 670.822i | 0.512188 | + | 0.887136i | 0.999900 | + | 0.0141312i | \(0.00449824\pi\) |
−0.487712 | + | 0.873005i | \(0.662168\pi\) | |||||||
\(84\) | −167.267 | + | 289.715i | −0.217266 | + | 0.376315i | ||||
\(85\) | −609.386 | − | 221.798i | −0.777614 | − | 0.283028i | ||||
\(86\) | 719.413 | + | 261.845i | 0.902050 | + | 0.328319i | ||||
\(87\) | 186.370 | − | 322.803i | 0.229666 | − | 0.397794i | ||||
\(88\) | −198.050 | − | 343.033i | −0.239911 | − | 0.415539i | ||||
\(89\) | −152.983 | − | 867.607i | −0.182204 | − | 1.03333i | −0.929496 | − | 0.368832i | \(-0.879758\pi\) |
0.747292 | − | 0.664495i | \(-0.231353\pi\) | |||||||
\(90\) | −1588.08 | − | 1332.56i | −1.85998 | − | 1.56071i | ||||
\(91\) | −163.485 | + | 137.180i | −0.188329 | + | 0.158027i | ||||
\(92\) | −0.215202 | + | 1.22047i | −0.000243874 | + | 0.00138308i | ||||
\(93\) | 15.6502 | − | 5.69621i | 0.0174500 | − | 0.00635129i | ||||
\(94\) | −244.972 | −0.268797 | ||||||||
\(95\) | 1439.29 | − | 825.827i | 1.55440 | − | 0.891874i | ||||
\(96\) | −283.942 | −0.301872 | ||||||||
\(97\) | −1391.18 | + | 506.347i | −1.45621 | + | 0.530018i | −0.944319 | − | 0.329031i | \(-0.893278\pi\) |
−0.511894 | + | 0.859049i | \(0.671056\pi\) | |||||||
\(98\) | −88.2694 | + | 500.601i | −0.0909853 | + | 0.516003i | ||||
\(99\) | 1962.19 | − | 1646.47i | 1.99199 | − | 1.67148i | ||||
\(100\) | 847.096 | + | 710.798i | 0.847096 | + | 0.710798i | ||||
\(101\) | 105.822 | + | 600.144i | 0.104254 | + | 0.591253i | 0.991516 | + | 0.129987i | \(0.0414935\pi\) |
−0.887262 | + | 0.461266i | \(0.847395\pi\) | |||||||
\(102\) | −287.191 | − | 497.429i | −0.278785 | − | 0.482870i | ||||
\(103\) | −275.654 | + | 477.447i | −0.263699 | + | 0.456740i | −0.967222 | − | 0.253932i | \(-0.918276\pi\) |
0.703523 | + | 0.710673i | \(0.251609\pi\) | |||||||
\(104\) | −170.216 | − | 61.9536i | −0.160491 | − | 0.0584139i | ||||
\(105\) | 1574.64 | + | 573.123i | 1.46352 | + | 0.532677i | ||||
\(106\) | 93.5821 | − | 162.089i | 0.0857500 | − | 0.148523i | ||||
\(107\) | 499.772 | + | 865.631i | 0.451540 | + | 0.782091i | 0.998482 | − | 0.0550801i | \(-0.0175414\pi\) |
−0.546942 | + | 0.837171i | \(0.684208\pi\) | |||||||
\(108\) | −152.439 | − | 864.526i | −0.135819 | − | 0.770269i | ||||
\(109\) | −229.462 | − | 192.542i | −0.201638 | − | 0.169194i | 0.536378 | − | 0.843978i | \(-0.319792\pi\) |
−0.738015 | + | 0.674784i | \(0.764237\pi\) | |||||||
\(110\) | −1519.90 | + | 1275.35i | −1.31743 | + | 1.10545i | ||||
\(111\) | −510.657 | + | 2896.08i | −0.436662 | + | 2.47643i | ||||
\(112\) | 141.712 | − | 51.5789i | 0.119558 | − | 0.0435156i | ||||
\(113\) | 1535.53 | 1.27833 | 0.639163 | − | 0.769071i | \(-0.279281\pi\) | ||||
0.639163 | + | 0.769071i | \(0.279281\pi\) | |||||||
\(114\) | 1446.72 | + | 259.107i | 1.18858 | + | 0.212873i | ||||
\(115\) | 6.20774 | 0.00503369 | ||||||||
\(116\) | −157.896 | + | 57.4696i | −0.126382 | + | 0.0459993i | ||||
\(117\) | 203.408 | − | 1153.58i | 0.160727 | − | 0.911527i | ||||
\(118\) | 843.782 | − | 708.017i | 0.658275 | − | 0.552358i | ||||
\(119\) | 233.692 | + | 196.091i | 0.180021 | + | 0.151056i | ||||
\(120\) | 246.977 | + | 1400.68i | 0.187882 | + | 1.06553i | ||||
\(121\) | −560.243 | − | 970.370i | −0.420919 | − | 0.729053i | ||||
\(122\) | 527.445 | − | 913.561i | 0.391415 | − | 0.677951i | ||||
\(123\) | −392.403 | − | 142.823i | −0.287657 | − | 0.104699i | ||||
\(124\) | −7.05505 | − | 2.56783i | −0.00510937 | − | 0.00185966i | ||||
\(125\) | 1517.26 | − | 2627.97i | 1.08566 | − | 1.88042i | ||||
\(126\) | 487.610 | + | 844.565i | 0.344760 | + | 0.597142i | ||||
\(127\) | −179.708 | − | 1019.17i | −0.125563 | − | 0.712102i | −0.980972 | − | 0.194149i | \(-0.937805\pi\) |
0.855409 | − | 0.517953i | \(-0.173306\pi\) | |||||||
\(128\) | 98.0537 | + | 82.2768i | 0.0677094 | + | 0.0568149i | ||||
\(129\) | 2601.93 | − | 2183.28i | 1.77587 | − | 1.49013i | ||||
\(130\) | −157.558 | + | 893.557i | −0.106298 | + | 0.602847i | ||||
\(131\) | −2320.30 | + | 844.519i | −1.54752 | + | 0.563252i | −0.967834 | − | 0.251588i | \(-0.919047\pi\) |
−0.579686 | + | 0.814840i | \(0.696825\pi\) | |||||||
\(132\) | −1757.34 | −1.15876 | ||||||||
\(133\) | −769.106 | + | 133.484i | −0.501428 | + | 0.0870265i | ||||
\(134\) | −1288.13 | −0.830429 | ||||||||
\(135\) | −4132.08 | + | 1503.95i | −2.63432 | + | 0.958813i | ||||
\(136\) | −44.9625 | + | 254.995i | −0.0283493 | + | 0.160777i | ||||
\(137\) | −41.0660 | + | 34.4585i | −0.0256095 | + | 0.0214889i | −0.655503 | − | 0.755193i | \(-0.727543\pi\) |
0.629893 | + | 0.776682i | \(0.283099\pi\) | |||||||
\(138\) | 4.21193 | + | 3.53423i | 0.00259814 | + | 0.00218010i | ||||
\(139\) | −66.6697 | − | 378.103i | −0.0406824 | − | 0.230721i | 0.957687 | − | 0.287813i | \(-0.0929283\pi\) |
−0.998369 | + | 0.0570921i | \(0.981817\pi\) | |||||||
\(140\) | −377.700 | − | 654.195i | −0.228010 | − | 0.394925i | ||||
\(141\) | −543.421 | + | 941.233i | −0.324570 | + | 0.562171i | ||||
\(142\) | −1149.66 | − | 418.444i | −0.679420 | − | 0.247289i | ||||
\(143\) | −1053.48 | − | 383.434i | −0.616057 | − | 0.224226i | ||||
\(144\) | −413.868 | + | 716.841i | −0.239507 | + | 0.414839i | ||||
\(145\) | 420.836 | + | 728.909i | 0.241024 | + | 0.417466i | ||||
\(146\) | −141.541 | − | 802.718i | −0.0802329 | − | 0.455024i | ||||
\(147\) | 1727.60 | + | 1449.63i | 0.969322 | + | 0.813358i | ||||
\(148\) | 1015.53 | − | 852.132i | 0.564028 | − | 0.473276i | ||||
\(149\) | −360.258 | + | 2043.13i | −0.198077 | + | 1.12335i | 0.709891 | + | 0.704312i | \(0.248744\pi\) |
−0.907968 | + | 0.419040i | \(0.862367\pi\) | |||||||
\(150\) | 4610.14 | − | 1677.95i | 2.50944 | − | 0.913362i | ||||
\(151\) | −290.042 | −0.156313 | −0.0781566 | − | 0.996941i | \(-0.524903\pi\) | ||||
−0.0781566 | + | 0.996941i | \(0.524903\pi\) | |||||||
\(152\) | −424.515 | − | 508.687i | −0.226531 | − | 0.271447i | ||||
\(153\) | −1674.41 | −0.884760 | ||||||||
\(154\) | 877.063 | − | 319.225i | 0.458933 | − | 0.167038i | ||||
\(155\) | −6.53042 | + | 37.0358i | −0.00338410 | + | 0.0191922i | ||||
\(156\) | −615.628 | + | 516.573i | −0.315960 | + | 0.265122i | ||||
\(157\) | −2496.06 | − | 2094.44i | −1.26884 | − | 1.06468i | −0.994682 | − | 0.102994i | \(-0.967158\pi\) |
−0.274154 | − | 0.961686i | \(-0.588398\pi\) | |||||||
\(158\) | 140.692 | + | 797.905i | 0.0708410 | + | 0.401759i | ||||
\(159\) | −415.186 | − | 719.123i | −0.207084 | − | 0.358680i | ||||
\(160\) | 320.580 | − | 555.261i | 0.158400 | − | 0.274358i | ||||
\(161\) | −2.74412 | − | 0.998777i | −0.00134327 | − | 0.000488911i | ||||
\(162\) | −1034.70 | − | 376.602i | −0.501815 | − | 0.182646i | ||||
\(163\) | −134.000 | + | 232.095i | −0.0643908 | + | 0.111528i | −0.896424 | − | 0.443198i | \(-0.853844\pi\) |
0.832033 | + | 0.554726i | \(0.187177\pi\) | |||||||
\(164\) | 94.1232 | + | 163.026i | 0.0448158 | + | 0.0776232i | ||||
\(165\) | 1528.56 | + | 8668.87i | 0.721199 | + | 4.09012i | ||||
\(166\) | −1186.75 | − | 995.804i | −0.554879 | − | 0.465599i | ||||
\(167\) | −1162.53 | + | 975.475i | −0.538676 | + | 0.452003i | −0.871085 | − | 0.491132i | \(-0.836583\pi\) |
0.332409 | + | 0.943135i | \(0.392139\pi\) | |||||||
\(168\) | 116.182 | − | 658.903i | 0.0533551 | − | 0.302592i | ||||
\(169\) | 1582.74 | − | 576.070i | 0.720410 | − | 0.262208i | ||||
\(170\) | 1296.99 | 0.585145 | ||||||||
\(171\) | 2762.85 | − | 3274.72i | 1.23556 | − | 1.46447i | ||||
\(172\) | −1531.17 | −0.678781 | ||||||||
\(173\) | 4176.94 | − | 1520.28i | 1.83565 | − | 0.668121i | 0.844465 | − | 0.535611i | \(-0.179919\pi\) |
0.991182 | − | 0.132510i | \(-0.0423036\pi\) | |||||||
\(174\) | −129.451 | + | 734.155i | −0.0564005 | + | 0.319863i | ||||
\(175\) | −1996.06 | + | 1674.89i | −0.862215 | + | 0.723484i | ||||
\(176\) | 606.860 | + | 509.216i | 0.259908 | + | 0.218089i | ||||
\(177\) | −848.587 | − | 4812.58i | −0.360360 | − | 2.04370i | ||||
\(178\) | 880.991 | + | 1525.92i | 0.370972 | + | 0.642543i | ||||
\(179\) | 425.753 | − | 737.426i | 0.177778 | − | 0.307921i | −0.763341 | − | 0.645996i | \(-0.776442\pi\) |
0.941119 | + | 0.338075i | \(0.109776\pi\) | |||||||
\(180\) | 3896.14 | + | 1418.08i | 1.61334 | + | 0.587208i | ||||
\(181\) | 1429.42 | + | 520.267i | 0.587006 | + | 0.213653i | 0.618412 | − | 0.785854i | \(-0.287776\pi\) |
−0.0314058 | + | 0.999507i | \(0.509998\pi\) | |||||||
\(182\) | 213.415 | − | 369.645i | 0.0869196 | − | 0.150549i | ||||
\(183\) | −2340.06 | − | 4053.10i | −0.945258 | − | 1.63724i | ||||
\(184\) | −0.430405 | − | 2.44095i | −0.000172445 | − | 0.000977983i | ||||
\(185\) | −5086.86 | − | 4268.38i | −2.02159 | − | 1.69631i | ||||
\(186\) | −25.5163 | + | 21.4107i | −0.0100589 | + | 0.00844039i | ||||
\(187\) | −278.276 | + | 1578.18i | −0.108821 | + | 0.617155i | ||||
\(188\) | 460.397 | − | 167.571i | 0.178606 | − | 0.0650072i | ||||
\(189\) | 2068.55 | 0.796112 | ||||||||
\(190\) | −2140.09 | + | 2536.58i | −0.817149 | + | 0.968542i | ||||
\(191\) | 4238.50 | 1.60569 | 0.802846 | − | 0.596187i | \(-0.203318\pi\) | ||||
0.802846 | + | 0.596187i | \(0.203318\pi\) | |||||||
\(192\) | 533.637 | − | 194.228i | 0.200583 | − | 0.0730062i | ||||
\(193\) | 157.454 | − | 892.967i | 0.0587243 | − | 0.333042i | −0.941265 | − | 0.337669i | \(-0.890362\pi\) |
0.999989 | + | 0.00462659i | \(0.00147269\pi\) | |||||||
\(194\) | 2268.20 | − | 1903.24i | 0.839418 | − | 0.704355i | ||||
\(195\) | 3083.72 | + | 2587.55i | 1.13246 | + | 0.950247i | ||||
\(196\) | −176.539 | − | 1001.20i | −0.0643363 | − | 0.364869i | ||||
\(197\) | 2153.26 | + | 3729.55i | 0.778747 | + | 1.34883i | 0.932664 | + | 0.360746i | \(0.117478\pi\) |
−0.153917 | + | 0.988084i | \(0.549189\pi\) | |||||||
\(198\) | −2561.46 | + | 4436.57i | −0.919368 | + | 1.59239i | ||||
\(199\) | −2260.36 | − | 822.705i | −0.805190 | − | 0.293065i | −0.0935547 | − | 0.995614i | \(-0.529823\pi\) |
−0.711636 | + | 0.702549i | \(0.752045\pi\) | |||||||
\(200\) | −2078.23 | − | 756.415i | −0.734766 | − | 0.267433i | ||||
\(201\) | −2857.46 | + | 4949.26i | −1.00273 | + | 1.73679i | ||||
\(202\) | −609.402 | − | 1055.51i | −0.212264 | − | 0.367652i | ||||
\(203\) | −68.7538 | − | 389.922i | −0.0237713 | − | 0.134814i | ||||
\(204\) | 880.003 | + | 738.410i | 0.302022 | + | 0.253427i | ||||
\(205\) | 722.333 | − | 606.109i | 0.246097 | − | 0.206500i | ||||
\(206\) | 191.467 | − | 1085.87i | 0.0647581 | − | 0.367261i | ||||
\(207\) | 15.0617 | − | 5.48202i | 0.00505731 | − | 0.00184071i | ||||
\(208\) | 362.280 | 0.120767 | ||||||||
\(209\) | −2627.35 | − | 3148.30i | −0.869558 | − | 1.04197i | ||||
\(210\) | −3351.40 | −1.10128 | ||||||||
\(211\) | 5367.64 | − | 1953.66i | 1.75130 | − | 0.637419i | 0.751544 | − | 0.659683i | \(-0.229310\pi\) |
0.999752 | + | 0.0222640i | \(0.00708744\pi\) | |||||||
\(212\) | −65.0014 | + | 368.641i | −0.0210581 | + | 0.119426i | ||||
\(213\) | −4158.04 | + | 3489.01i | −1.33758 | + | 1.12236i | ||||
\(214\) | −1531.39 | − | 1284.99i | −0.489176 | − | 0.410468i | ||||
\(215\) | 1331.83 | + | 7553.18i | 0.422465 | + | 2.39592i | ||||
\(216\) | 877.863 | + | 1520.50i | 0.276532 | + | 0.478968i | ||||
\(217\) | 8.84554 | − | 15.3209i | 0.00276716 | − | 0.00479287i | ||||
\(218\) | 562.954 | + | 204.899i | 0.174899 | + | 0.0636582i | ||||
\(219\) | −3398.19 | − | 1236.84i | −1.04853 | − | 0.381634i | ||||
\(220\) | 1984.09 | − | 3436.54i | 0.608033 | − | 1.05314i | ||||
\(221\) | 366.425 | + | 634.666i | 0.111531 | + | 0.193178i | ||||
\(222\) | −1021.31 | − | 5792.16i | −0.308767 | − | 1.75110i | ||||
\(223\) | 3353.43 | + | 2813.86i | 1.00701 | + | 0.844978i | 0.987939 | − | 0.154841i | \(-0.0494864\pi\) |
0.0190656 | + | 0.999818i | \(0.493931\pi\) | |||||||
\(224\) | −231.049 | + | 193.873i | −0.0689179 | + | 0.0578290i | ||||
\(225\) | 2483.48 | − | 14084.5i | 0.735847 | − | 4.17319i | ||||
\(226\) | −2885.86 | + | 1050.37i | −0.849401 | + | 0.309157i | ||||
\(227\) | 1546.26 | 0.452111 | 0.226055 | − | 0.974114i | \(-0.427417\pi\) | ||||
0.226055 | + | 0.974114i | \(0.427417\pi\) | |||||||
\(228\) | −2896.18 | + | 502.653i | −0.841247 | + | 0.146005i | ||||
\(229\) | −4754.72 | −1.37206 | −0.686028 | − | 0.727575i | \(-0.740647\pi\) | ||||
−0.686028 | + | 0.727575i | \(0.740647\pi\) | |||||||
\(230\) | −11.6667 | + | 4.24634i | −0.00334470 | + | 0.00121737i | ||||
\(231\) | 719.060 | − | 4077.99i | 0.204808 | − | 1.16152i | ||||
\(232\) | 257.437 | − | 216.015i | 0.0728515 | − | 0.0611297i | ||||
\(233\) | 2566.88 | + | 2153.87i | 0.721724 | + | 0.605599i | 0.927862 | − | 0.372924i | \(-0.121645\pi\) |
−0.206137 | + | 0.978523i | \(0.566089\pi\) | |||||||
\(234\) | 406.815 | + | 2307.16i | 0.113651 | + | 0.644547i | ||||
\(235\) | −1227.08 | − | 2125.36i | −0.340621 | − | 0.589972i | ||||
\(236\) | −1101.48 | + | 1907.82i | −0.303814 | + | 0.526222i | ||||
\(237\) | 3377.81 | + | 1229.42i | 0.925791 | + | 0.336960i | ||||
\(238\) | −573.332 | − | 208.676i | −0.156150 | − | 0.0568338i | ||||
\(239\) | −423.111 | + | 732.850i | −0.114514 | + | 0.198344i | −0.917585 | − | 0.397539i | \(-0.869864\pi\) |
0.803072 | + | 0.595883i | \(0.203198\pi\) | |||||||
\(240\) | −1422.28 | − | 2463.47i | −0.382533 | − | 0.662567i | ||||
\(241\) | 932.872 | + | 5290.58i | 0.249343 | + | 1.41409i | 0.810187 | + | 0.586171i | \(0.199365\pi\) |
−0.560845 | + | 0.827921i | \(0.689523\pi\) | |||||||
\(242\) | 1716.68 | + | 1440.47i | 0.456003 | + | 0.382632i | ||||
\(243\) | 796.987 | − | 668.751i | 0.210398 | − | 0.176545i | ||||
\(244\) | −366.359 | + | 2077.73i | −0.0961220 | + | 0.545135i | ||||
\(245\) | −4785.33 | + | 1741.72i | −1.24785 | + | 0.454181i | ||||
\(246\) | 835.174 | 0.216458 | ||||||||
\(247\) | −1845.86 | − | 330.593i | −0.475503 | − | 0.0851623i | ||||
\(248\) | 15.0157 | 0.00384474 | ||||||||
\(249\) | −6458.66 | + | 2350.76i | −1.64378 | + | 0.598286i | ||||
\(250\) | −1053.88 | + | 5976.82i | −0.266612 | + | 1.51203i | ||||
\(251\) | −1239.04 | + | 1039.68i | −0.311584 | + | 0.261450i | −0.785146 | − | 0.619311i | \(-0.787412\pi\) |
0.473563 | + | 0.880760i | \(0.342968\pi\) | |||||||
\(252\) | −1494.12 | − | 1253.72i | −0.373496 | − | 0.313400i | ||||
\(253\) | −2.66380 | − | 15.1072i | −0.000661944 | − | 0.00375407i | ||||
\(254\) | 1034.89 | + | 1792.49i | 0.255650 | + | 0.442799i | ||||
\(255\) | 2877.11 | − | 4983.30i | 0.706555 | − | 1.22379i | ||||
\(256\) | −240.561 | − | 87.5572i | −0.0587308 | − | 0.0213763i | ||||
\(257\) | −1076.02 | − | 391.639i | −0.261168 | − | 0.0950574i | 0.208118 | − | 0.978104i | \(-0.433266\pi\) |
−0.469286 | + | 0.883046i | \(0.655489\pi\) | |||||||
\(258\) | −3396.58 | + | 5883.05i | −0.819620 | + | 1.41962i | ||||
\(259\) | 1561.89 | + | 2705.27i | 0.374714 | + | 0.649024i | ||||
\(260\) | −315.116 | − | 1787.11i | −0.0751642 | − | 0.426277i | ||||
\(261\) | 1664.76 | + | 1396.90i | 0.394814 | + | 0.331288i | ||||
\(262\) | 3783.05 | − | 3174.35i | 0.892051 | − | 0.748520i | ||||
\(263\) | 189.878 | − | 1076.85i | 0.0445186 | − | 0.252477i | −0.954424 | − | 0.298454i | \(-0.903529\pi\) |
0.998943 | + | 0.0459769i | \(0.0146401\pi\) | |||||||
\(264\) | 3302.71 | − | 1202.09i | 0.769954 | − | 0.280240i | ||||
\(265\) | 1875.03 | 0.434651 | ||||||||
\(266\) | 1354.14 | − | 776.967i | 0.312134 | − | 0.179094i | ||||
\(267\) | 7817.20 | 1.79178 | ||||||||
\(268\) | 2420.89 | − | 881.133i | 0.551790 | − | 0.200835i | ||||
\(269\) | −22.3588 | + | 126.803i | −0.00506782 | + | 0.0287410i | −0.987237 | − | 0.159259i | \(-0.949089\pi\) |
0.982169 | + | 0.188000i | \(0.0602006\pi\) | |||||||
\(270\) | 6737.00 | − | 5653.02i | 1.51852 | − | 1.27419i | ||||
\(271\) | −1908.33 | − | 1601.28i | −0.427759 | − | 0.358933i | 0.403346 | − | 0.915047i | \(-0.367847\pi\) |
−0.831106 | + | 0.556115i | \(0.812292\pi\) | |||||||
\(272\) | −89.9250 | − | 509.990i | −0.0200460 | − | 0.113686i | ||||
\(273\) | −946.836 | − | 1639.97i | −0.209909 | − | 0.363573i | ||||
\(274\) | 53.6078 | − | 92.8515i | 0.0118196 | − | 0.0204721i | ||||
\(275\) | −12862.3 | − | 4681.50i | −2.82046 | − | 1.02656i | ||||
\(276\) | −10.3334 | − | 3.76104i | −0.00225361 | − | 0.000820247i | ||||
\(277\) | 3826.59 | − | 6627.85i | 0.830028 | − | 1.43765i | −0.0679880 | − | 0.997686i | \(-0.521658\pi\) |
0.898016 | − | 0.439964i | \(-0.145009\pi\) | |||||||
\(278\) | 383.936 | + | 664.996i | 0.0828307 | + | 0.143467i | ||||
\(279\) | 16.8615 | + | 95.6265i | 0.00361818 | + | 0.0205197i | ||||
\(280\) | 1157.34 | + | 971.122i | 0.247015 | + | 0.207270i | ||||
\(281\) | −3650.56 | + | 3063.18i | −0.774996 | + | 0.650299i | −0.941983 | − | 0.335660i | \(-0.891041\pi\) |
0.166987 | + | 0.985959i | \(0.446596\pi\) | |||||||
\(282\) | 377.456 | − | 2140.66i | 0.0797064 | − | 0.452037i | ||||
\(283\) | −644.294 | + | 234.504i | −0.135333 | + | 0.0492572i | −0.408799 | − | 0.912625i | \(-0.634052\pi\) |
0.273466 | + | 0.961882i | \(0.411830\pi\) | |||||||
\(284\) | 2446.89 | 0.511255 | ||||||||
\(285\) | 4998.71 | + | 13849.5i | 1.03894 | + | 2.87851i | ||||
\(286\) | 2242.17 | 0.463575 | ||||||||
\(287\) | −416.824 | + | 151.712i | −0.0857294 | + | 0.0312030i | ||||
\(288\) | 287.470 | − | 1630.32i | 0.0588171 | − | 0.333569i | ||||
\(289\) | −2961.10 | + | 2484.65i | −0.602706 | + | 0.505731i | ||||
\(290\) | −1289.52 | − | 1082.03i | −0.261114 | − | 0.219100i | ||||
\(291\) | −2281.11 | − | 12936.8i | −0.459523 | − | 2.60609i | ||||
\(292\) | 815.101 | + | 1411.80i | 0.163357 | + | 0.282942i | ||||
\(293\) | 1109.88 | − | 1922.37i | 0.221296 | − | 0.383297i | −0.733905 | − | 0.679252i | \(-0.762305\pi\) |
0.955202 | + | 0.295955i | \(0.0956378\pi\) | |||||||
\(294\) | −4238.44 | − | 1542.67i | −0.840785 | − | 0.306021i | ||||
\(295\) | 10369.3 | + | 3774.11i | 2.04652 | + | 0.744871i | ||||
\(296\) | −1325.68 | + | 2296.15i | −0.260317 | + | 0.450882i | ||||
\(297\) | 5433.14 | + | 9410.48i | 1.06149 | + | 1.83856i | ||||
\(298\) | −720.517 | − | 4086.25i | −0.140062 | − | 0.794330i | ||||
\(299\) | −5.37397 | − | 4.50930i | −0.00103941 | − | 0.000872172i | ||||
\(300\) | −7516.44 | + | 6307.04i | −1.44654 | + | 1.21379i | ||||
\(301\) | 626.517 | − | 3553.15i | 0.119973 | − | 0.680400i | ||||
\(302\) | 545.101 | − | 198.401i | 0.103864 | − | 0.0378035i | ||||
\(303\) | −5407.34 | −1.02523 | ||||||||
\(304\) | 1145.79 | + | 665.634i | 0.216170 | + | 0.125581i | ||||
\(305\) | 10568.0 | 1.98401 | ||||||||
\(306\) | 3146.87 | − | 1145.37i | 0.587890 | − | 0.213975i | ||||
\(307\) | −1391.35 | + | 7890.75i | −0.258660 | + | 1.46693i | 0.527840 | + | 0.849344i | \(0.323002\pi\) |
−0.786500 | + | 0.617590i | \(0.788109\pi\) | |||||||
\(308\) | −1429.98 | + | 1199.89i | −0.264547 | + | 0.221981i | ||||
\(309\) | −3747.39 | − | 3144.43i | −0.689907 | − | 0.578901i | ||||
\(310\) | −13.0608 | − | 74.0717i | −0.00239292 | − | 0.0135709i | ||||
\(311\) | −4591.42 | − | 7952.58i | −0.837157 | − | 1.45000i | −0.892262 | − | 0.451517i | \(-0.850883\pi\) |
0.0551056 | − | 0.998481i | \(-0.482450\pi\) | |||||||
\(312\) | 803.645 | − | 1391.95i | 0.145825 | − | 0.252577i | ||||
\(313\) | 8755.18 | + | 3186.62i | 1.58106 | + | 0.575459i | 0.975434 | − | 0.220290i | \(-0.0707005\pi\) |
0.605626 | + | 0.795749i | \(0.292923\pi\) | |||||||
\(314\) | 6123.74 | + | 2228.86i | 1.10058 | + | 0.400579i | ||||
\(315\) | −4884.94 | + | 8460.96i | −0.873762 | + | 1.51340i | ||||
\(316\) | −810.214 | − | 1403.33i | −0.144235 | − | 0.249822i | ||||
\(317\) | −157.014 | − | 890.472i | −0.0278196 | − | 0.157773i | 0.967733 | − | 0.251976i | \(-0.0810806\pi\) |
−0.995553 | + | 0.0942039i | \(0.969969\pi\) | |||||||
\(318\) | 1272.20 | + | 1067.51i | 0.224345 | + | 0.188248i | ||||
\(319\) | 1593.29 | − | 1336.93i | 0.279646 | − | 0.234651i | ||||
\(320\) | −222.672 | + | 1262.84i | −0.0388993 | + | 0.220609i | ||||
\(321\) | −8334.27 | + | 3033.43i | −1.44914 | + | 0.527444i | ||||
\(322\) | 5.84046 | 0.00101080 | ||||||||
\(323\) | −7.20391 | + | 2680.52i | −0.00124098 | + | 0.461759i | ||||
\(324\) | 2202.22 | 0.377610 | ||||||||
\(325\) | −5882.05 | + | 2140.89i | −1.00393 | + | 0.365401i | ||||
\(326\) | 93.0755 | − | 527.858i | 0.0158128 | − | 0.0896789i | ||||
\(327\) | 2036.06 | − | 1708.46i | 0.344326 | − | 0.288924i | ||||
\(328\) | −288.410 | − | 242.005i | −0.0485512 | − | 0.0407393i | ||||
\(329\) | 200.473 | + | 1136.94i | 0.0335941 | + | 0.190522i | ||||
\(330\) | −8802.60 | − | 15246.6i | −1.46839 | − | 2.54332i | ||||
\(331\) | 1481.76 | − | 2566.48i | 0.246057 | − | 0.426183i | −0.716371 | − | 0.697719i | \(-0.754198\pi\) |
0.962428 | + | 0.271536i | \(0.0875316\pi\) | |||||||
\(332\) | 2911.54 | + | 1059.71i | 0.481299 | + | 0.175179i | ||||
\(333\) | −16111.6 | − | 5864.13i | −2.65138 | − | 0.965022i | ||||
\(334\) | 1517.57 | − | 2628.51i | 0.248616 | − | 0.430615i | ||||
\(335\) | −6452.33 | − | 11175.8i | −1.05232 | − | 1.82268i | ||||
\(336\) | 232.365 | + | 1317.81i | 0.0377278 | + | 0.213965i | ||||
\(337\) | 1394.43 | + | 1170.07i | 0.225399 | + | 0.189132i | 0.748493 | − | 0.663143i | \(-0.230778\pi\) |
−0.523094 | + | 0.852275i | \(0.675222\pi\) | |||||||
\(338\) | −2580.52 | + | 2165.32i | −0.415272 | + | 0.348455i | ||||
\(339\) | −2365.97 | + | 13418.1i | −0.379062 | + | 2.14977i | ||||
\(340\) | −2437.54 | + | 887.193i | −0.388807 | + | 0.141514i | ||||
\(341\) | 92.9328 | 0.0147583 | ||||||||
\(342\) | −2952.42 | + | 8044.37i | −0.466808 | + | 1.27190i | ||||
\(343\) | 5628.49 | 0.886035 | ||||||||
\(344\) | 2877.65 | − | 1047.38i | 0.451025 | − | 0.164160i | ||||
\(345\) | −9.56496 | + | 54.2456i | −0.00149264 | + | 0.00846517i | ||||
\(346\) | −6810.15 | + | 5714.39i | −1.05814 | + | 0.887883i | ||||
\(347\) | −5948.14 | − | 4991.09i | −0.920211 | − | 0.772148i | 0.0538232 | − | 0.998550i | \(-0.482859\pi\) |
−0.974034 | + | 0.226402i | \(0.927304\pi\) | |||||||
\(348\) | −258.903 | − | 1468.31i | −0.0398812 | − | 0.226177i | ||||
\(349\) | −3254.54 | − | 5637.03i | −0.499173 | − | 0.864594i | 0.500826 | − | 0.865548i | \(-0.333030\pi\) |
−1.00000 | 0.000954101i | \(0.999696\pi\) | ||||||||
\(350\) | 2605.66 | − | 4513.14i | 0.397939 | − | 0.689251i | ||||
\(351\) | 4669.57 | + | 1699.58i | 0.710095 | + | 0.258453i | ||||
\(352\) | −1488.85 | − | 541.897i | −0.225443 | − | 0.0820545i | ||||
\(353\) | 3799.48 | − | 6580.90i | 0.572878 | − | 0.992255i | −0.423390 | − | 0.905947i | \(-0.639160\pi\) |
0.996269 | − | 0.0863071i | \(-0.0275066\pi\) | |||||||
\(354\) | 4886.82 | + | 8464.22i | 0.733705 | + | 1.27081i | ||||
\(355\) | −2128.34 | − | 12070.4i | −0.318199 | − | 1.80460i | ||||
\(356\) | −2699.51 | − | 2265.16i | −0.401893 | − | 0.337228i | ||||
\(357\) | −2073.60 | + | 1739.95i | −0.307413 | + | 0.257950i | ||||
\(358\) | −295.725 | + | 1677.14i | −0.0436580 | + | 0.247597i | ||||
\(359\) | 2017.65 | − | 734.365i | 0.296623 | − | 0.107962i | −0.189422 | − | 0.981896i | \(-0.560661\pi\) |
0.486045 | + | 0.873934i | \(0.338439\pi\) | |||||||
\(360\) | −8292.37 | −1.21402 | ||||||||
\(361\) | −5230.53 | − | 4437.06i | −0.762578 | − | 0.646896i | ||||
\(362\) | −3042.32 | −0.441715 | ||||||||
\(363\) | 9342.70 | − | 3400.46i | 1.35087 | − | 0.491675i | ||||
\(364\) | −148.236 | + | 840.690i | −0.0213453 | + | 0.121055i | ||||
\(365\) | 6255.36 | − | 5248.87i | 0.897042 | − | 0.752708i | ||||
\(366\) | 7170.36 | + | 6016.65i | 1.02405 | + | 0.859276i | ||||
\(367\) | 536.219 | + | 3041.05i | 0.0762681 | + | 0.432538i | 0.998901 | + | 0.0468596i | \(0.0149214\pi\) |
−0.922633 | + | 0.385678i | \(0.873968\pi\) | |||||||
\(368\) | 2.47860 | + | 4.29306i | 0.000351103 | + | 0.000608129i | ||||
\(369\) | 1217.33 | − | 2108.48i | 0.171739 | − | 0.297461i | ||||
\(370\) | 12479.9 | + | 4542.32i | 1.75351 | + | 0.638227i | ||||
\(371\) | −828.855 | − | 301.679i | −0.115989 | − | 0.0422166i | ||||
\(372\) | 33.3092 | − | 57.6932i | 0.00464248 | − | 0.00804101i | ||||
\(373\) | 4334.36 | + | 7507.33i | 0.601675 | + | 1.04213i | 0.992568 | + | 0.121695i | \(0.0388330\pi\) |
−0.390893 | + | 0.920436i | \(0.627834\pi\) | |||||||
\(374\) | −556.551 | − | 3156.36i | −0.0769481 | − | 0.436394i | ||||
\(375\) | 20626.4 | + | 17307.6i | 2.84038 | + | 2.38336i | ||||
\(376\) | −750.638 | + | 629.860i | −0.102955 | + | 0.0863897i | ||||
\(377\) | 165.166 | − | 936.704i | 0.0225636 | − | 0.127965i | ||||
\(378\) | −3887.61 | + | 1414.97i | −0.528987 | + | 0.192535i | ||||
\(379\) | −1288.19 | −0.174591 | −0.0872956 | − | 0.996182i | \(-0.527822\pi\) | ||||
−0.0872956 | + | 0.996182i | \(0.527822\pi\) | |||||||
\(380\) | 2286.92 | − | 6231.12i | 0.308728 | − | 0.841183i | ||||
\(381\) | 9182.82 | 1.23478 | ||||||||
\(382\) | −7965.77 | + | 2899.30i | −1.06692 | + | 0.388328i | ||||
\(383\) | −2141.84 | + | 12147.0i | −0.285752 | + | 1.62058i | 0.416833 | + | 0.908983i | \(0.363140\pi\) |
−0.702586 | + | 0.711599i | \(0.747971\pi\) | |||||||
\(384\) | −870.049 | + | 730.058i | −0.115624 | + | 0.0970198i | ||||
\(385\) | 7162.84 | + | 6010.34i | 0.948187 | + | 0.795624i | ||||
\(386\) | 314.908 | + | 1785.93i | 0.0415244 | + | 0.235496i | ||||
\(387\) | 9901.58 | + | 17150.0i | 1.30058 | + | 2.25268i | ||||
\(388\) | −2960.92 | + | 5128.46i | −0.387417 | + | 0.671027i | ||||
\(389\) | −4552.89 | − | 1657.11i | −0.593420 | − | 0.215987i | 0.0278129 | − | 0.999613i | \(-0.491146\pi\) |
−0.621233 | + | 0.783626i | \(0.713368\pi\) | |||||||
\(390\) | −7565.48 | − | 2753.61i | −0.982290 | − | 0.357524i | ||||
\(391\) | −5.01392 | + | 8.68436i | −0.000648503 | + | 0.00112324i | ||||
\(392\) | 1016.65 | + | 1760.88i | 0.130991 | + | 0.226883i | ||||
\(393\) | −3804.59 | − | 21576.9i | −0.488336 | − | 2.76949i | ||||
\(394\) | −6597.96 | − | 5536.35i | −0.843656 | − | 0.707911i | ||||
\(395\) | −6217.85 | + | 5217.39i | −0.792035 | + | 0.664597i | ||||
\(396\) | 1779.17 | − | 10090.2i | 0.225774 | − | 1.28043i | ||||
\(397\) | 6469.47 | − | 2354.69i | 0.817867 | − | 0.297679i | 0.100998 | − | 0.994887i | \(-0.467797\pi\) |
0.716870 | + | 0.697207i | \(0.245574\pi\) | |||||||
\(398\) | 4810.86 | 0.605895 | ||||||||
\(399\) | 18.6148 | − | 6926.42i | 0.00233560 | − | 0.869060i | ||||
\(400\) | 4423.22 | 0.552902 | ||||||||
\(401\) | −4592.90 | + | 1671.68i | −0.571967 | + | 0.208179i | −0.611780 | − | 0.791028i | \(-0.709546\pi\) |
0.0398128 | + | 0.999207i | \(0.487324\pi\) | |||||||
\(402\) | 1984.77 | − | 11256.2i | 0.246247 | − | 1.39654i | ||||
\(403\) | 32.5561 | − | 27.3178i | 0.00402416 | − | 0.00337667i | ||||
\(404\) | 1867.32 | + | 1566.86i | 0.229956 | + | 0.192956i | ||||
\(405\) | −1915.52 | − | 10863.5i | −0.235020 | − | 1.33286i | ||||
\(406\) | 395.937 | + | 685.784i | 0.0483991 | + | 0.0838297i | ||||
\(407\) | −8204.73 | + | 14211.0i | −0.999246 | + | 1.73075i | ||||
\(408\) | −2158.97 | − | 785.800i | −0.261972 | − | 0.0953502i | ||||
\(409\) | 5640.45 | + | 2052.96i | 0.681913 | + | 0.248196i | 0.659669 | − | 0.751556i | \(-0.270697\pi\) |
0.0222444 | + | 0.999753i | \(0.492919\pi\) | |||||||
\(410\) | −942.938 | + | 1633.22i | −0.113581 | + | 0.196729i | ||||
\(411\) | −237.836 | − | 411.945i | −0.0285440 | − | 0.0494397i | ||||
\(412\) | 382.935 | + | 2171.73i | 0.0457909 | + | 0.259693i | ||||
\(413\) | −3976.49 | − | 3336.67i | −0.473778 | − | 0.397547i | ||||
\(414\) | −24.5569 | + | 20.6057i | −0.00291523 | + | 0.00244617i | ||||
\(415\) | 2695.03 | − | 15284.3i | 0.318780 | − | 1.80789i | ||||
\(416\) | −680.864 | + | 247.814i | −0.0802454 | + | 0.0292069i | ||||
\(417\) | 3406.73 | 0.400068 | ||||||||
\(418\) | 7091.36 | + | 4119.65i | 0.829785 | + | 0.482054i | ||||
\(419\) | 2289.90 | 0.266990 | 0.133495 | − | 0.991049i | \(-0.457380\pi\) | ||||
0.133495 | + | 0.991049i | \(0.457380\pi\) | |||||||
\(420\) | 6298.57 | − | 2292.49i | 0.731759 | − | 0.266339i | ||||
\(421\) | 563.715 | − | 3196.99i | 0.0652584 | − | 0.370099i | −0.934637 | − | 0.355604i | \(-0.884275\pi\) |
0.999895 | − | 0.0144944i | \(-0.00461386\pi\) | |||||||
\(422\) | −8751.48 | + | 7343.36i | −1.00951 | + | 0.847083i | ||||
\(423\) | −4854.15 | − | 4073.11i | −0.557959 | − | 0.468183i | ||||
\(424\) | −130.003 | − | 737.283i | −0.0148903 | − | 0.0844472i | ||||
\(425\) | 4473.82 | + | 7748.89i | 0.510617 | + | 0.884414i | ||||
\(426\) | 5427.94 | − | 9401.47i | 0.617335 | − | 1.06926i | ||||
\(427\) | −4671.57 | − | 1700.31i | −0.529445 | − | 0.192702i | ||||
\(428\) | 3757.06 | + | 1367.46i | 0.424309 | + | 0.154436i | ||||
\(429\) | 4973.81 | − | 8614.89i | 0.559762 | − | 0.969536i | ||||
\(430\) | −7669.70 | − | 13284.3i | −0.860154 | − | 1.48983i | ||||
\(431\) | 1501.14 | + | 8513.41i | 0.167767 | + | 0.951454i | 0.946165 | + | 0.323683i | \(0.104921\pi\) |
−0.778398 | + | 0.627771i | \(0.783968\pi\) | |||||||
\(432\) | −2689.93 | − | 2257.12i | −0.299581 | − | 0.251379i | ||||
\(433\) | −9085.03 | + | 7623.25i | −1.00831 | + | 0.846073i | −0.988114 | − | 0.153723i | \(-0.950874\pi\) |
−0.0201970 | + | 0.999796i | \(0.506429\pi\) | |||||||
\(434\) | −6.14405 | + | 34.8446i | −0.000679548 | + | 0.00385391i | ||||
\(435\) | −7017.92 | + | 2554.32i | −0.773526 | + | 0.281540i | ||||
\(436\) | −1198.17 | −0.131610 | ||||||||
\(437\) | −8.71121 | − | 24.1355i | −0.000953579 | − | 0.00264201i | ||||
\(438\) | 7232.55 | 0.789006 | ||||||||
\(439\) | 3527.14 | − | 1283.77i | 0.383465 | − | 0.139570i | −0.143093 | − | 0.989709i | \(-0.545705\pi\) |
0.526558 | + | 0.850139i | \(0.323482\pi\) | |||||||
\(440\) | −1378.13 | + | 7815.78i | −0.149318 | + | 0.846825i | ||||
\(441\) | −10072.5 | + | 8451.81i | −1.08762 | + | 0.912624i | ||||
\(442\) | −1122.79 | − | 942.133i | −0.120827 | − | 0.101386i | ||||
\(443\) | −940.654 | − | 5334.71i | −0.100884 | − | 0.572144i | −0.992785 | − | 0.119912i | \(-0.961739\pi\) |
0.891900 | − | 0.452232i | \(-0.149372\pi\) | |||||||
\(444\) | 5881.52 | + | 10187.1i | 0.628659 | + | 1.08887i | ||||
\(445\) | −8825.88 | + | 15286.9i | −0.940195 | + | 1.62847i | ||||
\(446\) | −8227.18 | − | 2994.45i | −0.873471 | − | 0.317917i | ||||
\(447\) | −17298.5 | − | 6296.16i | −1.83041 | − | 0.666215i | ||||
\(448\) | 301.613 | − | 522.409i | 0.0318078 | − | 0.0550927i | ||||
\(449\) | −137.961 | − | 238.955i | −0.0145006 | − | 0.0251158i | 0.858684 | − | 0.512505i | \(-0.171283\pi\) |
−0.873185 | + | 0.487390i | \(0.837949\pi\) | |||||||
\(450\) | 4966.96 | + | 28169.1i | 0.520322 | + | 2.95089i | ||||
\(451\) | −1784.99 | − | 1497.78i | −0.186368 | − | 0.156381i | ||||
\(452\) | 4705.15 | − | 3948.09i | 0.489628 | − | 0.410846i | ||||
\(453\) | 446.901 | − | 2534.50i | 0.0463515 | − | 0.262873i | ||||
\(454\) | −2906.03 | + | 1057.71i | −0.300411 | + | 0.109341i | ||||
\(455\) | 4276.03 | 0.440579 | ||||||||
\(456\) | 5099.21 | − | 2925.79i | 0.523667 | − | 0.300466i | ||||
\(457\) | −14563.9 | −1.49075 | −0.745374 | − | 0.666646i | \(-0.767729\pi\) | ||||
−0.745374 | + | 0.666646i | \(0.767729\pi\) | |||||||
\(458\) | 8935.95 | − | 3252.42i | 0.911680 | − | 0.331824i | ||||
\(459\) | 1233.47 | − | 6995.33i | 0.125432 | − | 0.711359i | ||||
\(460\) | 19.0216 | − | 15.9610i | 0.00192801 | − | 0.00161780i | ||||
\(461\) | −2390.64 | − | 2005.98i | −0.241525 | − | 0.202664i | 0.513988 | − | 0.857798i | \(-0.328168\pi\) |
−0.755513 | + | 0.655134i | \(0.772612\pi\) | |||||||
\(462\) | 1438.12 | + | 8155.98i | 0.144821 | + | 0.821322i | ||||
\(463\) | −4037.27 | − | 6992.76i | −0.405244 | − | 0.701903i | 0.589106 | − | 0.808056i | \(-0.299480\pi\) |
−0.994350 | + | 0.106153i | \(0.966147\pi\) | |||||||
\(464\) | −336.060 | + | 582.073i | −0.0336232 | + | 0.0582372i | ||||
\(465\) | −313.571 | − | 114.131i | −0.0312721 | − | 0.0113821i | ||||
\(466\) | −6297.48 | − | 2292.10i | −0.626020 | − | 0.227853i | ||||
\(467\) | −9125.29 | + | 15805.5i | −0.904214 | + | 1.56614i | −0.0822446 | + | 0.996612i | \(0.526209\pi\) |
−0.821969 | + | 0.569532i | \(0.807124\pi\) | |||||||
\(468\) | −2342.76 | − | 4057.77i | −0.231397 | − | 0.400792i | ||||
\(469\) | 1054.14 | + | 5978.35i | 0.103787 | + | 0.588603i | ||||
\(470\) | 3759.99 | + | 3155.01i | 0.369012 | + | 0.309637i | ||||
\(471\) | 22148.0 | − | 18584.4i | 2.16672 | − | 1.81810i | ||||
\(472\) | 765.079 | − | 4338.98i | 0.0746094 | − | 0.423131i | ||||
\(473\) | 17810.0 | − | 6482.29i | 1.73130 | − | 0.630140i | ||||
\(474\) | −7189.19 | −0.696646 | ||||||||
\(475\) | −22536.8 | − | 4036.33i | −2.17697 | − | 0.389894i | ||||
\(476\) | 1220.25 | 0.117501 | ||||||||
\(477\) | 4549.37 | − | 1655.83i | 0.436690 | − | 0.158942i | ||||
\(478\) | 293.890 | − | 1666.73i | 0.0281218 | − | 0.159487i | ||||
\(479\) | 301.846 | − | 253.279i | 0.0287927 | − | 0.0241600i | −0.628278 | − | 0.777989i | \(-0.716240\pi\) |
0.657070 | + | 0.753829i | \(0.271795\pi\) | |||||||
\(480\) | 4358.13 | + | 3656.91i | 0.414418 | + | 0.347738i | ||||
\(481\) | 1303.09 | + | 7390.19i | 0.123526 | + | 0.700548i | ||||
\(482\) | −5372.20 | − | 9304.92i | −0.507670 | − | 0.879310i | ||||
\(483\) | 12.9559 | − | 22.4402i | 0.00122052 | − | 0.00211401i | ||||
\(484\) | −4211.65 | − | 1532.92i | −0.395534 | − | 0.143963i | ||||
\(485\) | 27874.0 | + | 10145.3i | 2.60967 | + | 0.949844i | ||||
\(486\) | −1040.39 | + | 1802.01i | −0.0971052 | + | 0.168191i | ||||
\(487\) | 5345.83 | + | 9259.25i | 0.497418 | + | 0.861553i | 0.999996 | − | 0.00297872i | \(-0.000948157\pi\) |
−0.502577 | + | 0.864532i | \(0.667615\pi\) | |||||||
\(488\) | −732.719 | − | 4155.45i | −0.0679685 | − | 0.385468i | ||||
\(489\) | −1821.67 | − | 1528.56i | −0.168464 | − | 0.141358i | ||||
\(490\) | 7802.08 | − | 6546.72i | 0.719310 | − | 0.603573i | ||||
\(491\) | 493.287 | − | 2797.57i | 0.0453396 | − | 0.257134i | −0.953710 | − | 0.300729i | \(-0.902770\pi\) |
0.999049 | + | 0.0435952i | \(0.0138812\pi\) | |||||||
\(492\) | −1569.61 | + | 571.292i | −0.143829 | + | 0.0523493i | ||||
\(493\) | −1359.62 | −0.124207 | ||||||||
\(494\) | 3695.22 | − | 641.333i | 0.336550 | − | 0.0584108i | ||||
\(495\) | −51322.0 | −4.66010 | ||||||||
\(496\) | −28.2202 | + | 10.2713i | −0.00255469 | + | 0.000929830i | ||||
\(497\) | −1001.21 | + | 5678.15i | −0.0903631 | + | 0.512474i | ||||
\(498\) | 10530.3 | − | 8835.97i | 0.947538 | − | 0.795078i | ||||
\(499\) | 1340.63 | + | 1124.92i | 0.120270 | + | 0.100919i | 0.700939 | − | 0.713221i | \(-0.252765\pi\) |
−0.580669 | + | 0.814140i | \(0.697209\pi\) | |||||||
\(500\) | −2107.75 | − | 11953.6i | −0.188523 | − | 1.06917i | ||||
\(501\) | −6732.84 | − | 11661.6i | −0.600402 | − | 1.03993i | ||||
\(502\) | 1617.45 | − | 2801.51i | 0.143806 | − | 0.249078i | ||||
\(503\) | 7672.22 | + | 2792.46i | 0.680094 | + | 0.247534i | 0.658888 | − | 0.752241i | \(-0.271027\pi\) |
0.0212063 | + | 0.999775i | \(0.493249\pi\) | |||||||
\(504\) | 3665.63 | + | 1334.18i | 0.323968 | + | 0.117915i | ||||
\(505\) | 6105.06 | − | 10574.3i | 0.537964 | − | 0.931781i | ||||
\(506\) | 15.3402 | + | 26.5700i | 0.00134774 | + | 0.00233435i | ||||
\(507\) | 2595.22 | + | 14718.2i | 0.227333 | + | 1.28927i | ||||
\(508\) | −3171.10 | − | 2660.87i | −0.276958 | − | 0.232396i | ||||
\(509\) | 15546.6 | − | 13045.1i | 1.35381 | − | 1.13598i | 0.375969 | − | 0.926632i | \(-0.377310\pi\) |
0.977841 | − | 0.209349i | \(-0.0671345\pi\) | |||||||
\(510\) | −1998.42 | + | 11333.6i | −0.173513 | + | 0.984040i | ||||
\(511\) | −3609.67 | + | 1313.81i | −0.312490 | + | 0.113737i | ||||
\(512\) | 512.000 | 0.0441942 | ||||||||
\(513\) | 11645.8 | + | 13954.9i | 1.00229 | + | 1.20102i | ||||
\(514\) | 2290.15 | 0.196526 | ||||||||
\(515\) | 10380.0 | − | 3778.01i | 0.888149 | − | 0.323260i | ||||
\(516\) | 2359.24 | − | 13379.9i | 0.201279 | − | 1.14151i | ||||
\(517\) | −4645.74 | + | 3898.24i | −0.395202 | + | 0.331614i | ||||
\(518\) | −4785.90 | − | 4015.85i | −0.405947 | − | 0.340630i | ||||
\(519\) | 6848.93 | + | 38842.2i | 0.579257 | + | 3.28513i | ||||
\(520\) | 1814.68 | + | 3143.12i | 0.153037 | + | 0.265068i | ||||
\(521\) | 6316.12 | − | 10939.8i | 0.531121 | − | 0.919929i | −0.468219 | − | 0.883612i | \(-0.655104\pi\) |
0.999340 | − | 0.0363166i | \(-0.0115625\pi\) | |||||||
\(522\) | −4084.27 | − | 1486.55i | −0.342459 | − | 0.124645i | ||||
\(523\) | −8670.46 | − | 3155.79i | −0.724919 | − | 0.263849i | −0.0469064 | − | 0.998899i | \(-0.514936\pi\) |
−0.678012 | + | 0.735050i | \(0.737158\pi\) | |||||||
\(524\) | −4938.42 | + | 8553.59i | −0.411709 | + | 0.713101i | ||||
\(525\) | −11560.3 | − | 20023.0i | −0.961014 | − | 1.66452i | ||||
\(526\) | 379.756 | + | 2153.71i | 0.0314794 | + | 0.178529i | ||||
\(527\) | −46.5370 | − | 39.0492i | −0.00384665 | − | 0.00322772i | ||||
\(528\) | −5384.79 | + | 4518.37i | −0.443831 | + | 0.372419i | ||||
\(529\) | −2112.76 | + | 11982.1i | −0.173647 | + | 0.984800i | ||||
\(530\) | −3523.91 | + | 1282.60i | −0.288809 | + | 0.105118i | ||||
\(531\) | 28491.7 | 2.32850 | ||||||||
\(532\) | −2013.47 | + | 2386.51i | −0.164088 | + | 0.194489i | ||||
\(533\) | −1065.59 | −0.0865966 | ||||||||
\(534\) | −14691.5 | + | 5347.28i | −1.19057 | + | 0.433333i | ||||
\(535\) | 3477.67 | − | 19722.9i | 0.281033 | − | 1.59382i | ||||
\(536\) | −3947.06 | + | 3311.98i | −0.318073 | + | 0.266895i | ||||
\(537\) | 5787.91 | + | 4856.63i | 0.465115 | + | 0.390278i | ||||
\(538\) | −44.7177 | − | 253.607i | −0.00358349 | − | 0.0203230i | ||||
\(539\) | 6292.09 | + | 10898.2i | 0.502819 | + | 0.870908i | ||||
\(540\) | −8794.54 | + | 15232.6i | −0.700845 | + | 1.21390i | ||||
\(541\) | −10079.7 | − | 3668.70i | −0.801032 | − | 0.291552i | −0.0911182 | − | 0.995840i | \(-0.529044\pi\) |
−0.709914 | + | 0.704288i | \(0.751266\pi\) | |||||||
\(542\) | 4681.83 | + | 1704.05i | 0.371036 | + | 0.135046i | ||||
\(543\) | −6748.77 | + | 11689.2i | −0.533366 | + | 0.923817i | ||||
\(544\) | 517.857 | + | 896.955i | 0.0408142 | + | 0.0706924i | ||||
\(545\) | 1042.18 | + | 5910.51i | 0.0819123 | + | 0.464548i | ||||
\(546\) | 2901.27 | + | 2434.46i | 0.227405 | + | 0.190815i | ||||
\(547\) | −7114.42 | + | 5969.71i | −0.556107 | + | 0.466630i | −0.877003 | − | 0.480485i | \(-0.840461\pi\) |
0.320895 | + | 0.947115i | \(0.396016\pi\) | |||||||
\(548\) | −37.2356 | + | 211.174i | −0.00290260 | + | 0.0164615i | ||||
\(549\) | 25641.0 | − | 9332.57i | 1.99332 | − | 0.725509i | ||||
\(550\) | 27375.6 | 2.12236 | ||||||||
\(551\) | 2243.43 | − | 2659.06i | 0.173454 | − | 0.205590i | ||||
\(552\) | 21.9931 | 0.00169581 | ||||||||
\(553\) | 3588.03 | − | 1305.94i | 0.275910 | − | 0.100423i | ||||
\(554\) | −2657.92 | + | 15073.8i | −0.203835 | + | 1.15600i | ||||
\(555\) | 45136.7 | − | 37874.2i | 3.45216 | − | 2.89670i | ||||
\(556\) | −1176.45 | − | 987.156i | −0.0897346 | − | 0.0752963i | ||||
\(557\) | −2869.60 | − | 16274.3i | −0.218292 | − | 1.23800i | −0.875101 | − | 0.483940i | \(-0.839205\pi\) |
0.656809 | − | 0.754057i | \(-0.271906\pi\) | |||||||
\(558\) | −97.1017 | − | 168.185i | −0.00736674 | − | 0.0127596i | ||||
\(559\) | 4333.68 | − | 7506.15i | 0.327898 | − | 0.567936i | ||||
\(560\) | −2839.37 | − | 1033.45i | −0.214260 | − | 0.0779841i | ||||
\(561\) | −13362.0 | − | 4863.36i | −1.00560 | − | 0.366009i | ||||
\(562\) | 4765.46 | − | 8254.03i | 0.357685 | − | 0.619529i | ||||
\(563\) | −3080.14 | − | 5334.97i | −0.230573 | − | 0.399364i | 0.727404 | − | 0.686210i | \(-0.240727\pi\) |
−0.957977 | + | 0.286845i | \(0.907393\pi\) | |||||||
\(564\) | 754.913 | + | 4281.32i | 0.0563609 | + | 0.319639i | ||||
\(565\) | −23568.4 | − | 19776.2i | −1.75492 | − | 1.47255i | ||||
\(566\) | 1050.47 | − | 881.446i | 0.0780113 | − | 0.0654592i | ||||
\(567\) | −901.096 | + | 5110.37i | −0.0667416 | + | 0.378510i | ||||
\(568\) | −4598.66 | + | 1673.77i | −0.339710 | + | 0.123644i | ||||
\(569\) | −16846.5 | −1.24120 | −0.620599 | − | 0.784128i | \(-0.713110\pi\) | ||||
−0.620599 | + | 0.784128i | \(0.713110\pi\) | |||||||
\(570\) | −18868.2 | − | 22609.3i | −1.38649 | − | 1.66140i | ||||
\(571\) | 4447.37 | 0.325948 | 0.162974 | − | 0.986630i | \(-0.447891\pi\) | ||||
0.162974 | + | 0.986630i | \(0.447891\pi\) | |||||||
\(572\) | −4213.91 | + | 1533.74i | −0.308029 | + | 0.112113i | ||||
\(573\) | −6530.74 | + | 37037.7i | −0.476135 | + | 2.70030i | ||||
\(574\) | 679.596 | − | 570.249i | 0.0494178 | − | 0.0414664i | ||||
\(575\) | −65.6129 | − | 55.0558i | −0.00475869 | − | 0.00399302i | ||||
\(576\) | 574.940 | + | 3260.65i | 0.0415900 | + | 0.235869i | ||||
\(577\) | −456.989 | − | 791.529i | −0.0329718 | − | 0.0571088i | 0.849069 | − | 0.528283i | \(-0.177164\pi\) |
−0.882040 | + | 0.471174i | \(0.843830\pi\) | |||||||
\(578\) | 3865.44 | − | 6695.13i | 0.278168 | − | 0.481801i | ||||
\(579\) | 7560.49 | + | 2751.79i | 0.542665 | + | 0.197514i | ||||
\(580\) | 3163.65 | + | 1151.48i | 0.226489 | + | 0.0824352i | ||||
\(581\) | −3650.45 | + | 6322.77i | −0.260665 | + | 0.451485i | ||||
\(582\) | 13136.4 | + | 22752.9i | 0.935604 | + | 1.62051i | ||||
\(583\) | −804.596 | − | 4563.09i | −0.0571577 | − | 0.324158i | ||||
\(584\) | −2497.62 | − | 2095.75i | −0.176973 | − | 0.148498i | ||||
\(585\) | −17979.1 | + | 15086.2i | −1.27067 | + | 1.06622i | ||||
\(586\) | −770.914 | + | 4372.07i | −0.0543450 | + | 0.308206i | ||||
\(587\) | 8478.22 | − | 3085.82i | 0.596139 | − | 0.216977i | −0.0262884 | − | 0.999654i | \(-0.508369\pi\) |
0.622427 | + | 0.782678i | \(0.286147\pi\) | |||||||
\(588\) | 9020.90 | 0.632680 | ||||||||
\(589\) | 153.158 | − | 26.5817i | 0.0107144 | − | 0.00185956i | ||||
\(590\) | −22069.5 | −1.53998 | ||||||||
\(591\) | −35908.0 | + | 13069.5i | −2.49925 | + | 0.909654i | ||||
\(592\) | 920.809 | − | 5222.17i | 0.0639274 | − | 0.362550i | ||||
\(593\) | 5322.15 | − | 4465.81i | 0.368557 | − | 0.309256i | −0.439633 | − | 0.898177i | \(-0.644892\pi\) |
0.808191 | + | 0.588921i | \(0.200447\pi\) | |||||||
\(594\) | −16648.1 | − | 13969.4i | −1.14997 | − | 0.964937i | ||||
\(595\) | −1061.39 | − | 6019.47i | −0.0731310 | − | 0.414746i | ||||
\(596\) | 4149.29 | + | 7186.78i | 0.285170 | + | 0.493930i | ||||
\(597\) | 10671.9 | − | 18484.3i | 0.731612 | − | 1.26719i | ||||
\(598\) | 13.1843 | + | 4.79869i | 0.000901582 | + | 0.000328149i | ||||
\(599\) | −13743.2 | − | 5002.13i | −0.937451 | − | 0.341204i | −0.172292 | − | 0.985046i | \(-0.555117\pi\) |
−0.765159 | + | 0.643842i | \(0.777340\pi\) | |||||||
\(600\) | 9812.02 | − | 16994.9i | 0.667623 | − | 1.15636i | ||||
\(601\) | 9988.09 | + | 17299.9i | 0.677908 | + | 1.17417i | 0.975610 | + | 0.219513i | \(0.0704467\pi\) |
−0.297701 | + | 0.954659i | \(0.596220\pi\) | |||||||
\(602\) | 1253.03 | + | 7106.31i | 0.0848336 | + | 0.481115i | ||||
\(603\) | −25524.4 | − | 21417.5i | −1.72377 | − | 1.44642i | ||||
\(604\) | −888.741 | + | 745.742i | −0.0598715 | + | 0.0502381i | ||||
\(605\) | −3898.46 | + | 22109.3i | −0.261975 | + | 1.48573i | ||||
\(606\) | 10162.5 | − | 3698.84i | 0.681225 | − | 0.247946i | ||||
\(607\) | 17106.1 | 1.14385 | 0.571923 | − | 0.820307i | \(-0.306198\pi\) | ||||
0.571923 | + | 0.820307i | \(0.306198\pi\) | |||||||
\(608\) | −2608.70 | − | 467.217i | −0.174008 | − | 0.0311647i | ||||
\(609\) | 3513.23 | 0.233766 | ||||||||
\(610\) | −19861.4 | + | 7228.95i | −1.31830 | + | 0.479822i | ||||
\(611\) | −481.594 | + | 2731.26i | −0.0318874 | + | 0.180843i | ||||
\(612\) | −5130.70 | + | 4305.17i | −0.338883 | + | 0.284356i | ||||
\(613\) | 19079.8 | + | 16009.8i | 1.25714 | + | 1.05486i | 0.995981 | + | 0.0895677i | \(0.0285486\pi\) |
0.261157 | + | 0.965296i | \(0.415896\pi\) | |||||||
\(614\) | −2782.70 | − | 15781.5i | −0.182900 | − | 1.03728i | ||||
\(615\) | 4183.44 | + | 7245.92i | 0.274297 | + | 0.475096i | ||||
\(616\) | 1866.70 | − | 3233.22i | 0.122097 | − | 0.211478i | ||||
\(617\) | −14657.1 | − | 5334.75i | −0.956358 | − | 0.348086i | −0.183753 | − | 0.982972i | \(-0.558825\pi\) |
−0.772605 | + | 0.634887i | \(0.781047\pi\) | |||||||
\(618\) | 9193.70 | + | 3346.23i | 0.598422 | + | 0.217808i | ||||
\(619\) | 7588.12 | − | 13143.0i | 0.492718 | − | 0.853412i | −0.507247 | − | 0.861801i | \(-0.669337\pi\) |
0.999965 | + | 0.00838852i | \(0.00267018\pi\) | |||||||
\(620\) | 75.2144 | + | 130.275i | 0.00487207 | + | 0.00843867i | ||||
\(621\) | 11.8074 | + | 66.9630i | 0.000762985 | + | 0.00432710i | ||||
\(622\) | 14068.9 | + | 11805.2i | 0.906934 | + | 0.761008i | ||||
\(623\) | 6361.00 | − | 5337.52i | 0.409066 | − | 0.343247i | ||||
\(624\) | −558.206 | + | 3165.74i | −0.0358111 | + | 0.203095i | ||||
\(625\) | −24661.2 | + | 8975.93i | −1.57831 | + | 0.574459i | ||||
\(626\) | −18634.1 | −1.18973 | ||||||||
\(627\) | 31559.3 | − | 18107.9i | 2.01014 | − | 1.15336i | ||||
\(628\) | −13033.5 | −0.828174 | ||||||||
\(629\) | 10079.9 | − | 3668.78i | 0.638969 | − | 0.232566i | ||||
\(630\) | 3393.04 | − | 19242.9i | 0.214575 | − | 1.21691i | ||||
\(631\) | −13569.0 | + | 11385.7i | −0.856058 | + | 0.718318i | −0.961115 | − | 0.276148i | \(-0.910942\pi\) |
0.105057 | + | 0.994466i | \(0.466497\pi\) | |||||||
\(632\) | 2482.64 | + | 2083.18i | 0.156257 | + | 0.131115i | ||||
\(633\) | 8801.31 | + | 49914.7i | 0.552640 | + | 3.13417i | ||||
\(634\) | 904.209 | + | 1566.14i | 0.0566415 | + | 0.0981060i | ||||
\(635\) | −10367.7 | + | 17957.4i | −0.647921 | + | 1.12223i | ||||
\(636\) | −3121.18 | − | 1136.02i | −0.194596 | − | 0.0708270i | ||||
\(637\) | 5407.80 | + | 1968.28i | 0.336365 | + | 0.122427i | ||||
\(638\) | −2079.89 | + | 3602.48i | −0.129066 | + | 0.223548i | ||||
\(639\) | −15823.3 | − | 27406.8i | −0.979594 | − | 1.69671i | ||||
\(640\) | −445.345 | − | 2525.68i | −0.0275059 | − | 0.155994i | ||||
\(641\) | −5020.83 | − | 4212.98i | −0.309377 | − | 0.259598i | 0.474857 | − | 0.880063i | \(-0.342500\pi\) |
−0.784235 | + | 0.620464i | \(0.786944\pi\) | |||||||
\(642\) | 13588.3 | − | 11402.0i | 0.835340 | − | 0.700934i | ||||
\(643\) | −1042.67 | + | 5913.29i | −0.0639486 | + | 0.362671i | 0.935995 | + | 0.352014i | \(0.114503\pi\) |
−0.999943 | + | 0.0106563i | \(0.996608\pi\) | |||||||
\(644\) | −10.9765 | + | 3.99511i | −0.000671636 | + | 0.000244455i | ||||
\(645\) | −68054.8 | −4.15450 | ||||||||
\(646\) | −1820.04 | − | 5042.66i | −0.110849 | − | 0.307122i | ||||
\(647\) | 17229.0 | 1.04690 | 0.523448 | − | 0.852058i | \(-0.324646\pi\) | ||||
0.523448 | + | 0.852058i | \(0.324646\pi\) | |||||||
\(648\) | −4138.82 | + | 1506.41i | −0.250908 | + | 0.0913229i | ||||
\(649\) | 4735.12 | − | 26854.2i | 0.286394 | − | 1.62422i | ||||
\(650\) | 9590.18 | − | 8047.12i | 0.578705 | − | 0.485591i | ||||
\(651\) | 120.251 | + | 100.903i | 0.00723964 | + | 0.00607478i | ||||
\(652\) | 186.151 | + | 1055.72i | 0.0111813 | + | 0.0634126i | ||||
\(653\) | −8926.03 | − | 15460.3i | −0.534920 | − | 0.926508i | −0.999167 | − | 0.0408027i | \(-0.987008\pi\) |
0.464247 | − | 0.885706i | \(-0.346325\pi\) | |||||||
\(654\) | −2657.89 | + | 4603.60i | −0.158917 | + | 0.275252i | ||||
\(655\) | 46490.0 | + | 16921.0i | 2.77331 | + | 1.00940i | ||||
\(656\) | 707.575 | + | 257.536i | 0.0421131 | + | 0.0153279i | ||||
\(657\) | 10542.0 | − | 18259.3i | 0.626002 | − | 1.08427i | ||||
\(658\) | −1154.48 | − | 1999.62i | −0.0683987 | − | 0.118470i | ||||
\(659\) | −325.099 | − | 1843.73i | −0.0192171 | − | 0.108985i | 0.973690 | − | 0.227875i | \(-0.0731777\pi\) |
−0.992907 | + | 0.118889i | \(0.962067\pi\) | |||||||
\(660\) | 26972.7 | + | 22632.8i | 1.59078 | + | 1.33482i | ||||
\(661\) | 12577.8 | − | 10554.1i | 0.740123 | − | 0.621037i | −0.192748 | − | 0.981248i | \(-0.561740\pi\) |
0.932871 | + | 0.360211i | \(0.117295\pi\) | |||||||
\(662\) | −1029.22 | + | 5836.99i | −0.0604256 | + | 0.342691i | ||||
\(663\) | −6110.55 | + | 2224.06i | −0.357940 | + | 0.130279i | ||||
\(664\) | −6196.79 | −0.362172 | ||||||||
\(665\) | 13523.9 | + | 7856.56i | 0.788622 | + | 0.458142i | ||||
\(666\) | 34291.1 | 1.99513 | ||||||||
\(667\) | 12.2301 | − | 4.45138i | 0.000709971 | − | 0.000258408i | ||||
\(668\) | −1054.09 | + | 5978.06i | −0.0610540 | + | 0.346254i | ||||
\(669\) | −29755.6 | + | 24967.9i | −1.71961 | + | 1.44292i | ||||
\(670\) | 19771.1 | + | 16589.9i | 1.14003 | + | 0.956603i | ||||
\(671\) | −4534.84 | − | 25718.4i | −0.260903 | − | 1.47965i | ||||
\(672\) | −1338.14 | − | 2317.72i | −0.0768150 | − | 0.133048i | ||||
\(673\) | 299.310 | − | 518.421i | 0.0171435 | − | 0.0296934i | −0.857326 | − | 0.514773i | \(-0.827876\pi\) |
0.874470 | + | 0.485080i | \(0.161209\pi\) | |||||||
\(674\) | −3421.04 | − | 1245.16i | −0.195510 | − | 0.0711598i | ||||
\(675\) | 57012.6 | + | 20750.9i | 3.25099 | + | 1.18326i | ||||
\(676\) | 3368.63 | − | 5834.64i | 0.191661 | − | 0.331967i | ||||
\(677\) | −5081.46 | − | 8801.35i | −0.288473 | − | 0.499651i | 0.684972 | − | 0.728569i | \(-0.259814\pi\) |
−0.973446 | + | 0.228919i | \(0.926481\pi\) | |||||||
\(678\) | −4731.95 | − | 26836.2i | −0.268037 | − | 1.52011i | ||||
\(679\) | −10689.3 | − | 8969.42i | −0.604152 | − | 0.506944i | ||||
\(680\) | 3974.21 | − | 3334.76i | 0.224123 | − | 0.188062i | ||||
\(681\) | −2382.51 | + | 13511.9i | −0.134064 | + | 0.760317i | ||||
\(682\) | −174.657 | + | 63.5698i | −0.00980637 | + | 0.00356923i | ||||
\(683\) | −18327.0 | −1.02674 | −0.513371 | − | 0.858167i | \(-0.671603\pi\) | ||||
−0.513371 | + | 0.858167i | \(0.671603\pi\) | |||||||
\(684\) | 46.0586 | − | 17138.0i | 0.00257470 | − | 0.958025i | ||||
\(685\) | 1074.10 | 0.0599113 | ||||||||
\(686\) | −10578.1 | + | 3850.12i | −0.588737 | + | 0.214283i | ||||
\(687\) | 7326.14 | − | 41548.6i | 0.406855 | − | 2.30739i | ||||
\(688\) | −4691.76 | + | 3936.86i | −0.259988 | + | 0.218156i | ||||
\(689\) | −1623.20 | − | 1362.02i | −0.0897516 | − | 0.0753106i | ||||
\(690\) | −19.1299 | − | 108.491i | −0.00105545 | − | 0.00598578i | ||||
\(691\) | 54.8896 | + | 95.0716i | 0.00302185 | + | 0.00523400i | 0.867532 | − | 0.497381i | \(-0.165705\pi\) |
−0.864511 | + | 0.502615i | \(0.832371\pi\) | |||||||
\(692\) | 8890.01 | − | 15398.0i | 0.488364 | − | 0.845871i | ||||
\(693\) | 22686.8 | + | 8257.32i | 1.24358 | + | 0.452625i | ||||
\(694\) | 14593.0 | + | 5311.40i | 0.798186 | + | 0.290516i | ||||
\(695\) | −3846.31 | + | 6662.01i | −0.209927 | + | 0.363604i | ||||
\(696\) | 1490.96 | + | 2582.42i | 0.0811993 | + | 0.140641i | ||||
\(697\) | 264.501 | + | 1500.06i | 0.0143740 | + | 0.0815191i | ||||
\(698\) | 9972.49 | + | 8367.91i | 0.540780 | + | 0.453768i | ||||
\(699\) | −22776.4 | + | 19111.7i | −1.23245 | + | 1.03415i | ||||
\(700\) | −1809.88 | + | 10264.3i | −0.0977241 | + | 0.554221i | ||||
\(701\) | 21318.7 | − | 7759.36i | 1.14864 | − | 0.418070i | 0.303612 | − | 0.952796i | \(-0.401807\pi\) |
0.845026 | + | 0.534726i | \(0.179585\pi\) | |||||||
\(702\) | −9938.50 | −0.534337 | ||||||||
\(703\) | −9457.04 | + | 25767.3i | −0.507367 | + | 1.38241i | ||||
\(704\) | 3168.80 | 0.169643 | ||||||||
\(705\) | 20463.0 | − | 7447.91i | 1.09316 | − | 0.397879i | ||||
\(706\) | −2639.09 | + | 14967.0i | −0.140685 | + | 0.797864i | ||||
\(707\) | −4400.05 | + | 3692.08i | −0.234061 | + | 0.196400i | ||||
\(708\) | −14974.1 | − | 12564.7i | −0.794859 | − | 0.666966i | ||||
\(709\) | −1633.44 | − | 9263.71i | −0.0865235 | − | 0.490699i | −0.997017 | − | 0.0771768i | \(-0.975409\pi\) |
0.910494 | − | 0.413522i | \(-0.135702\pi\) | |||||||
\(710\) | 12256.6 | + | 21229.1i | 0.647864 | + | 1.12213i | ||||
\(711\) | −10478.8 | + | 18149.8i | −0.552723 | + | 0.957345i | ||||
\(712\) | 6622.89 | + | 2410.53i | 0.348600 | + | 0.126880i | ||||
\(713\) | 0.546458 | + | 0.198895i | 2.87027e−5 | + | 1.04469e-5i | ||||
\(714\) | 2706.89 | − | 4688.47i | 0.141881 | − | 0.245744i | ||||
\(715\) | 11231.2 | + | 19453.0i | 0.587444 | + | 1.01748i | ||||
\(716\) | −591.450 | − | 3354.28i | −0.0308708 | − | 0.175077i | ||||
\(717\) | −5751.99 | − | 4826.50i | −0.299599 | − | 0.251393i | ||||
\(718\) | −3289.61 | + | 2760.31i | −0.170985 | + | 0.143473i | ||||
\(719\) | −3550.99 | + | 20138.6i | −0.184186 | + | 1.04457i | 0.742812 | + | 0.669500i | \(0.233492\pi\) |
−0.926997 | + | 0.375068i | \(0.877619\pi\) | |||||||
\(720\) | 15584.6 | − | 5672.32i | 0.806670 | − | 0.293604i | ||||
\(721\) | −5196.31 | −0.268406 | ||||||||
\(722\) | 12865.3 | + | 4761.05i | 0.663154 | + | 0.245413i | ||||
\(723\) | −47668.5 | −2.45202 | ||||||||
\(724\) | 5717.69 | − | 2081.07i | 0.293503 | − | 0.106826i | ||||
\(725\) | 2016.58 | − | 11436.6i | 0.103302 | − | 0.585854i | ||||
\(726\) | −15232.5 | + | 12781.6i | −0.778692 | + | 0.653400i | ||||
\(727\) | −11246.2 | − | 9436.70i | −0.573727 | − | 0.481414i | 0.309154 | − | 0.951012i | \(-0.399954\pi\) |
−0.882880 | + | 0.469598i | \(0.844399\pi\) | |||||||
\(728\) | −296.473 | − | 1681.38i | −0.0150934 | − | 0.0855991i | ||||
\(729\) | 12048.3 | + | 20868.3i | 0.612117 | + | 1.06022i | ||||
\(730\) | −8165.79 | + | 14143.6i | −0.414013 | + | 0.717091i | ||||
\(731\) | −11642.3 | − | 4237.45i | −0.589064 | − | 0.214402i | ||||
\(732\) | −17591.5 | − | 6402.78i | −0.888252 | − | 0.323297i | ||||
\(733\) | −8525.63 | + | 14766.8i | −0.429606 | + | 0.744099i | −0.996838 | − | 0.0794585i | \(-0.974681\pi\) |
0.567232 | + | 0.823558i | \(0.308014\pi\) | |||||||
\(734\) | −3087.96 | − | 5348.50i | −0.155284 | − | 0.268960i | ||||
\(735\) | −7846.51 | − | 44499.8i | −0.393773 | − | 2.23320i | ||||
\(736\) | −7.59488 | − | 6.37286i | −0.000380368 | − | 0.000319167i | ||||
\(737\) | −24428.6 | + | 20498.0i | −1.22095 | + | 1.02450i | ||||
\(738\) | −845.550 | + | 4795.35i | −0.0421750 | + | 0.239186i | ||||
\(739\) | −18432.0 | + | 6708.68i | −0.917497 | + | 0.333942i | −0.757242 | − | 0.653134i | \(-0.773454\pi\) |
−0.160255 | + | 0.987076i | \(0.551232\pi\) | |||||||
\(740\) | −26561.7 | −1.31950 | ||||||||
\(741\) | 5732.97 | − | 15620.5i | 0.284219 | − | 0.774403i | ||||
\(742\) | 1764.10 | 0.0872804 | ||||||||
\(743\) | 29984.0 | − | 10913.3i | 1.48049 | − | 0.538856i | 0.529566 | − | 0.848269i | \(-0.322355\pi\) |
0.950928 | + | 0.309413i | \(0.100133\pi\) | |||||||
\(744\) | −23.1363 | + | 131.213i | −0.00114008 | + | 0.00646571i | ||||
\(745\) | 31843.0 | − | 26719.5i | 1.56596 | − | 1.31399i | ||||
\(746\) | −13281.3 | − | 11144.3i | −0.651825 | − | 0.546946i | ||||
\(747\) | −6958.56 | − | 39463.9i | −0.340830 | − | 1.93294i | ||||
\(748\) | 3205.05 | + | 5551.31i | 0.156669 | + | 0.271358i | ||||
\(749\) | −4710.56 | + | 8158.92i | −0.229800 | + | 0.398025i | ||||
\(750\) | −50604.0 | − | 18418.3i | −2.46373 | − | 0.896724i | ||||
\(751\) | 30660.9 | + | 11159.6i | 1.48979 | + | 0.542239i | 0.953394 | − | 0.301728i | \(-0.0975636\pi\) |
0.536395 | + | 0.843967i | \(0.319786\pi\) | |||||||
\(752\) | 979.888 | − | 1697.22i | 0.0475171 | − | 0.0823020i | ||||
\(753\) | −7175.98 | − | 12429.2i | −0.347287 | − | 0.601519i | ||||
\(754\) | 330.332 | + | 1873.41i | 0.0159549 | + | 0.0904848i | ||||
\(755\) | 4451.76 | + | 3735.47i | 0.214591 | + | 0.180063i | ||||
\(756\) | 6338.41 | − | 5318.56i | 0.304928 | − | 0.255865i | ||||
\(757\) | 4285.83 | − | 24306.1i | 0.205774 | − | 1.16700i | −0.690443 | − | 0.723387i | \(-0.742584\pi\) |
0.896217 | − | 0.443616i | \(-0.146305\pi\) | |||||||
\(758\) | 2421.01 | − | 881.177i | 0.116009 | − | 0.0422240i | ||||
\(759\) | 136.117 | 0.00650952 | ||||||||
\(760\) | −35.6767 | + | 13275.0i | −0.00170280 | + | 0.633599i | ||||
\(761\) | 12530.3 | 0.596876 | 0.298438 | − | 0.954429i | \(-0.403534\pi\) | ||||
0.298438 | + | 0.954429i | \(0.403534\pi\) | |||||||
\(762\) | −17258.1 | + | 6281.42i | −0.820464 | + | 0.298624i | ||||
\(763\) | 490.261 | − | 2780.41i | 0.0232617 | − | 0.131923i | ||||
\(764\) | 12987.5 | − | 10897.8i | 0.615016 | − | 0.516059i | ||||
\(765\) | 25700.0 | + | 21564.8i | 1.21462 | + | 1.01919i | ||||
\(766\) | −4283.69 | − | 24294.0i | −0.202057 | − | 1.14592i | ||||
\(767\) | −6235.06 | − | 10799.4i | −0.293527 | − | 0.508403i | ||||
\(768\) | 1135.77 | − | 1967.21i | 0.0533640 | − | 0.0924291i | ||||
\(769\) | 19987.7 | + | 7274.94i | 0.937290 | + | 0.341145i | 0.765095 | − | 0.643917i | \(-0.222692\pi\) |
0.172195 | + | 0.985063i | \(0.444914\pi\) | |||||||
\(770\) | −17573.0 | − | 6396.07i | −0.822453 | − | 0.299348i | ||||
\(771\) | 5080.24 | − | 8799.23i | 0.237303 | − | 0.411020i | ||||
\(772\) | −1813.48 | − | 3141.05i | −0.0845450 | − | 0.146436i | ||||
\(773\) | −6129.74 | − | 34763.5i | −0.285216 | − | 1.61754i | −0.704515 | − | 0.709689i | \(-0.748835\pi\) |
0.419299 | − | 0.907848i | \(-0.362276\pi\) | |||||||
\(774\) | −30340.2 | − | 25458.5i | −1.40899 | − | 1.18228i | ||||
\(775\) | 397.491 | − | 333.534i | 0.0184236 | − | 0.0154592i | ||||
\(776\) | 2056.63 | − | 11663.7i | 0.0951403 | − | 0.539567i | ||||
\(777\) | −26046.3 | + | 9480.06i | −1.20258 | + | 0.437703i | ||||
\(778\) | 9690.16 | 0.446541 | ||||||||
\(779\) | −3370.17 | − | 1957.86i | −0.155005 | − | 0.0900485i | ||||
\(780\) | 16102.0 | 0.739161 | ||||||||
\(781\) | −28461.4 | + | 10359.1i | −1.30400 | + | 0.474619i | ||||
\(782\) | 3.48263 | − | 19.7510i | 0.000159256 | − | 0.000903188i | ||||
\(783\) | −7062.31 | + | 5925.98i | −0.322333 | + | 0.270469i | ||||
\(784\) | −3115.19 | − | 2613.95i | −0.141909 | − | 0.119076i | ||||
\(785\) | 11336.7 | + | 64293.8i | 0.515446 | + | 2.92324i | ||||
\(786\) | 21909.8 | + | 37948.8i | 0.994269 | + | 1.72212i | ||||
\(787\) | −15848.1 | + | 27449.7i | −0.717818 | + | 1.24330i | 0.244044 | + | 0.969764i | \(0.421526\pi\) |
−0.961863 | + | 0.273533i | \(0.911808\pi\) | |||||||
\(788\) | 16187.2 | + | 5891.66i | 0.731783 | + | 0.266347i | ||||
\(789\) | 9117.39 | + | 3318.46i | 0.411391 | + | 0.149734i | ||||
\(790\) | 8116.83 | − | 14058.8i | 0.365549 | − | 0.633149i | ||||
\(791\) | 7236.52 | + | 12534.0i | 0.325286 | + | 0.563411i | ||||
\(792\) | 3558.34 | + | 20180.3i | 0.159647 | + | 0.905401i | ||||
\(793\) | −9148.62 | − | 7676.60i | −0.409681 | − | 0.343763i | ||||
\(794\) | −10547.9 | + | 8850.75i | −0.471450 | + | 0.395594i | ||||
\(795\) | −2889.08 | + | 16384.8i | −0.128887 | + | 0.730954i | ||||
\(796\) | −9041.45 | + | 3290.82i | −0.402595 | + | 0.146533i | ||||
\(797\) | −15320.9 | −0.680922 | −0.340461 | − | 0.940259i | \(-0.610583\pi\) | ||||
−0.340461 | + | 0.940259i | \(0.610583\pi\) | |||||||
\(798\) | 4702.97 | + | 13030.1i | 0.208626 | + | 0.578023i | ||||
\(799\) | 3964.39 | 0.175532 | ||||||||
\(800\) | −8312.93 | + | 3025.66i | −0.367383 | + | 0.133717i | ||||
\(801\) | −7914.33 | + | 44884.4i | −0.349112 | + | 1.97992i | ||||
\(802\) | 7488.34 | − | 6283.46i | 0.329704 | − | 0.276654i | ||||
\(803\) | −15457.9 | − | 12970.7i | −0.679324 | − | 0.570021i | ||||
\(804\) | 3969.54 | + | 22512.4i | 0.174123 | + | 0.987500i | ||||
\(805\) | 29.2552 | + | 50.6715i | 0.00128088 | + | 0.00221855i | ||||
\(806\) | −42.4990 | + | 73.6105i | −0.00185728 | + | 0.00321690i | ||||
\(807\) | −1073.61 | − | 390.760i | −0.0468311 | − | 0.0170451i | ||||
\(808\) | −4581.20 | − | 1667.42i | −0.199463 | − | 0.0725986i | ||||
\(809\) | −6645.39 | + | 11510.1i | −0.288800 | + | 0.500217i | −0.973524 | − | 0.228586i | \(-0.926590\pi\) |
0.684723 | + | 0.728803i | \(0.259923\pi\) | |||||||
\(810\) | 11031.1 | + | 19106.3i | 0.478508 | + | 0.828801i | ||||
\(811\) | 935.936 | + | 5307.95i | 0.0405242 | + | 0.229824i | 0.998343 | − | 0.0575498i | \(-0.0183288\pi\) |
−0.957818 | + | 0.287374i | \(0.907218\pi\) | |||||||
\(812\) | −1213.22 | − | 1018.01i | −0.0524332 | − | 0.0439967i | ||||
\(813\) | 16933.0 | − | 14208.5i | 0.730462 | − | 0.612930i | ||||
\(814\) | 5698.94 | − | 32320.3i | 0.245391 | − | 1.39168i | ||||
\(815\) | 5045.89 | − | 1836.55i | 0.216871 | − | 0.0789345i | ||||
\(816\) | 4595.05 | 0.197131 | ||||||||
\(817\) | 27497.6 | − | 15777.4i | 1.17750 | − | 0.675619i | ||||
\(818\) | −12004.9 | −0.513131 | ||||||||
\(819\) | 10374.9 | − | 3776.15i | 0.442646 | − | 0.161110i | ||||
\(820\) | 654.958 | − | 3714.45i | 0.0278928 | − | 0.158188i | ||||
\(821\) | 19271.3 | − | 16170.6i | 0.819213 | − | 0.687401i | −0.133575 | − | 0.991039i | \(-0.542646\pi\) |
0.952788 | + | 0.303637i | \(0.0982011\pi\) | |||||||
\(822\) | 728.773 | + | 611.513i | 0.0309232 | + | 0.0259476i | ||||
\(823\) | 3839.33 | + | 21773.9i | 0.162613 | + | 0.922224i | 0.951491 | + | 0.307675i | \(0.0995510\pi\) |
−0.788878 | + | 0.614549i | \(0.789338\pi\) | |||||||
\(824\) | −2205.23 | − | 3819.58i | −0.0932317 | − | 0.161482i | ||||
\(825\) | 60727.2 | − | 105183.i | 2.56273 | − | 4.43877i | ||||
\(826\) | 9755.78 | + | 3550.82i | 0.410953 | + | 0.149575i | ||||
\(827\) | −2213.91 | − | 805.796i | −0.0930895 | − | 0.0338818i | 0.295056 | − | 0.955480i | \(-0.404662\pi\) |
−0.388145 | + | 0.921598i | \(0.626884\pi\) | |||||||
\(828\) | 32.0567 | − | 55.5239i | 0.00134547 | − | 0.00233042i | ||||
\(829\) | 8179.42 | + | 14167.2i | 0.342682 | + | 0.593542i | 0.984930 | − | 0.172955i | \(-0.0553314\pi\) |
−0.642248 | + | 0.766497i | \(0.721998\pi\) | |||||||
\(830\) | 5390.05 | + | 30568.5i | 0.225411 | + | 1.27837i | ||||
\(831\) | 52020.7 | + | 43650.5i | 2.17157 | + | 1.82217i | ||||
\(832\) | 1110.09 | − | 931.477i | 0.0462566 | − | 0.0388139i | ||||
\(833\) | 1428.47 | − | 8101.24i | 0.0594159 | − | 0.336965i | ||||
\(834\) | −6402.57 | + | 2330.34i | −0.265831 | + | 0.0967544i | ||||
\(835\) | 30406.4 | 1.26019 | ||||||||
\(836\) | −16145.4 | − | 2891.63i | −0.667944 | − | 0.119628i | ||||
\(837\) | −411.928 | −0.0170111 | ||||||||
\(838\) | −4303.60 | + | 1566.38i | −0.177405 | + | 0.0645701i | ||||
\(839\) | 6989.04 | − | 39636.8i | 0.287590 | − | 1.63101i | −0.408292 | − | 0.912851i | \(-0.633876\pi\) |
0.695883 | − | 0.718155i | \(-0.255013\pi\) | |||||||
\(840\) | −10269.3 | + | 8616.96i | −0.421814 | + | 0.353944i | ||||
\(841\) | −17331.3 | − | 14542.7i | −0.710619 | − | 0.596280i | ||||
\(842\) | 1127.43 | + | 6393.97i | 0.0461447 | + | 0.261699i | ||||
\(843\) | −21142.4 | − | 36619.8i | −0.863801 | − | 1.49615i | ||||
\(844\) | 11424.2 | − | 19787.4i | 0.465922 | − | 0.807001i | ||||
\(845\) | −31712.2 | − | 11542.3i | −1.29104 | − | 0.469901i | ||||
\(846\) | 11909.0 | + | 4334.51i | 0.483971 | + | 0.176151i | ||||
\(847\) | 5280.52 | − | 9146.13i | 0.214216 | − | 0.371033i | ||||
\(848\) | 748.657 | + | 1296.71i | 0.0303172 | + | 0.0525109i | ||||
\(849\) | −1056.45 | − | 5991.42i | −0.0427058 | − | 0.242197i | ||||
\(850\) | −13708.6 | − | 11502.9i | −0.553177 | − | 0.464171i | ||||
\(851\) | −78.6593 | + | 66.0030i | −0.00316852 | + | 0.00265870i | ||||
\(852\) | −3770.21 | + | 21381.9i | −0.151602 | + | 0.859780i | ||||
\(853\) | 25835.8 | − | 9403.47i | 1.03705 | − | 0.377454i | 0.233287 | − | 0.972408i | \(-0.425052\pi\) |
0.803760 | + | 0.594954i | \(0.202830\pi\) | |||||||
\(854\) | 9942.77 | 0.398401 | ||||||||
\(855\) | −84581.4 | + | 14679.7i | −3.38318 | + | 0.587176i | ||||
\(856\) | −7996.35 | −0.319287 | ||||||||
\(857\) | −25711.9 | + | 9358.37i | −1.02486 | + | 0.373017i | −0.799120 | − | 0.601171i | \(-0.794701\pi\) |
−0.225736 | + | 0.974188i | \(0.572479\pi\) | |||||||
\(858\) | −3454.77 | + | 19593.0i | −0.137464 | + | 0.779596i | ||||
\(859\) | −5285.59 | + | 4435.14i | −0.209944 | + | 0.176164i | −0.741696 | − | 0.670736i | \(-0.765978\pi\) |
0.531752 | + | 0.846900i | \(0.321534\pi\) | |||||||
\(860\) | 23501.3 | + | 19720.0i | 0.931848 | + | 0.781913i | ||||
\(861\) | −683.466 | − | 3876.13i | −0.0270528 | − | 0.153424i | ||||
\(862\) | −8644.75 | − | 14973.1i | −0.341579 | − | 0.591632i | ||||
\(863\) | −1702.63 | + | 2949.03i | −0.0671588 | + | 0.116323i | −0.897650 | − | 0.440710i | \(-0.854727\pi\) |
0.830491 | + | 0.557032i | \(0.188060\pi\) | |||||||
\(864\) | 6599.37 | + | 2401.97i | 0.259855 | + | 0.0945796i | ||||
\(865\) | −83690.2 | − | 30460.7i | −3.28966 | − | 1.19734i | ||||
\(866\) | 11859.7 | − | 20541.5i | 0.465367 | − | 0.806039i | ||||
\(867\) | −17149.4 | − | 29703.6i | −0.671769 | − | 1.16354i | ||||
\(868\) | −12.2881 | − | 69.6893i | −0.000480513 | − | 0.00272512i | ||||
\(869\) | 15365.2 | + | 12892.9i | 0.599803 | + | 0.503295i | ||||
\(870\) | 11442.1 | − | 9601.08i | 0.445890 | − | 0.374146i | ||||
\(871\) | −2532.36 | + | 14361.7i | −0.0985139 | + | 0.558700i | ||||
\(872\) | 2251.82 | − | 819.594i | 0.0874497 | − | 0.0318291i | ||||
\(873\) | 76589.5 | 2.96926 | ||||||||
\(874\) | 32.8814 | + | 39.4011i | 0.00127257 | + | 0.00152490i | ||||
\(875\) | 28601.5 | 1.10504 | ||||||||
\(876\) | −13592.8 | + | 4947.36i | −0.524265 | + | 0.190817i | ||||
\(877\) | 1525.08 | − | 8649.17i | 0.0587211 | − | 0.333024i | −0.941268 | − | 0.337660i | \(-0.890365\pi\) |
0.999989 | + | 0.00463620i | \(0.00147575\pi\) | |||||||
\(878\) | −5750.70 | + | 4825.41i | −0.221044 | + | 0.185478i | ||||
\(879\) | 15088.3 | + | 12660.6i | 0.578970 | + | 0.485814i | ||||
\(880\) | −2756.27 | − | 15631.6i | −0.105584 | − | 0.598795i | ||||
\(881\) | 16321.1 | + | 28268.9i | 0.624144 | + | 1.08105i | 0.988706 | + | 0.149870i | \(0.0478856\pi\) |
−0.364561 | + | 0.931179i | \(0.618781\pi\) | |||||||
\(882\) | 13148.7 | − | 22774.2i | 0.501972 | − | 0.869441i | ||||
\(883\) | 34623.6 | + | 12602.0i | 1.31957 | + | 0.480282i | 0.903319 | − | 0.428969i | \(-0.141123\pi\) |
0.416246 | + | 0.909252i | \(0.363345\pi\) | |||||||
\(884\) | 2754.61 | + | 1002.60i | 0.104805 | + | 0.0381459i | ||||
\(885\) | −48956.8 | + | 84795.6i | −1.85951 | + | 3.22076i | ||||
\(886\) | 5417.01 | + | 9382.53i | 0.205404 | + | 0.355770i | ||||
\(887\) | 7207.23 | + | 40874.2i | 0.272824 | + | 1.54726i | 0.745789 | + | 0.666182i | \(0.232073\pi\) |
−0.472965 | + | 0.881081i | \(0.656816\pi\) | |||||||
\(888\) | −18022.0 | − | 15122.3i | −0.681058 | − | 0.571475i | ||||
\(889\) | 7472.23 | − | 6269.95i | 0.281902 | − | 0.236544i | ||||
\(890\) | 6130.39 | − | 34767.2i | 0.230889 | − | 1.30944i | ||||
\(891\) | −25615.4 | + | 9323.24i | −0.963129 | + | 0.350550i | ||||
\(892\) | 17510.4 | 0.657276 | ||||||||
\(893\) | −6541.41 | + | 7753.34i | −0.245129 | + | 0.290544i | ||||
\(894\) | 36817.5 | 1.37736 | ||||||||
\(895\) | −16032.1 | + | 5835.20i | −0.598764 | + | 0.217932i | ||||
\(896\) | −209.498 | + | 1188.12i | −0.00781121 | + | 0.0442996i | ||||
\(897\) | 47.6843 | − | 40.0119i | 0.00177495 | − | 0.00148936i | ||||
\(898\) | 422.736 | + | 354.717i | 0.0157092 | + | 0.0131816i | ||||
\(899\) | 13.6915 | + | 77.6484i | 0.000507939 | + | 0.00288067i | ||||
\(900\) | −28603.6 | − | 49542.9i | −1.05939 | − | 1.83492i | ||||
\(901\) | −1514.44 | + | 2623.09i | −0.0559971 | + | 0.0969899i | ||||
\(902\) | 4379.23 | + | 1593.91i | 0.161654 | + | 0.0588374i | ||||
\(903\) | 30083.5 | + | 10949.5i | 1.10866 | + | 0.403518i | ||||
\(904\) | −6142.14 | + | 10638.5i | −0.225978 | + | 0.391406i | ||||
\(905\) | −15239.2 | − | 26395.0i | −0.559743 | − | 0.969503i | ||||
\(906\) | 893.802 | + | 5069.00i | 0.0327755 | + | 0.185879i | ||||
\(907\) | −14285.1 | − | 11986.6i | −0.522966 | − | 0.438820i | 0.342698 | − | 0.939445i | \(-0.388659\pi\) |
−0.865664 | + | 0.500625i | \(0.833104\pi\) | |||||||
\(908\) | 4738.03 | − | 3975.68i | 0.173169 | − | 0.145306i | ||||
\(909\) | 5474.52 | − | 31047.6i | 0.199756 | − | 1.13287i | ||||
\(910\) | −8036.31 | + | 2924.98i | −0.292749 | + | 0.106552i | ||||
\(911\) | 45819.5 | 1.66637 | 0.833187 | − | 0.552991i | \(-0.186514\pi\) | ||||
0.833187 | + | 0.552991i | \(0.186514\pi\) | |||||||
\(912\) | −7582.02 | + | 8986.74i | −0.275291 | + | 0.326295i | ||||
\(913\) | −38352.3 | −1.39023 | ||||||||
\(914\) | 27371.2 | − | 9962.32i | 0.990547 | − | 0.360530i | ||||
\(915\) | −16283.3 | + | 92347.4i | −0.588318 | + | 3.33652i | ||||
\(916\) | −14569.3 | + | 12225.1i | −0.525528 | + | 0.440970i | ||||
\(917\) | −17828.4 | − | 14959.8i | −0.642034 | − | 0.538730i | ||||
\(918\) | 2466.93 | + | 13990.7i | 0.0886937 | + | 0.503007i | ||||
\(919\) | −18660.9 | − | 32321.6i | −0.669821 | − | 1.16016i | −0.977954 | − | 0.208821i | \(-0.933037\pi\) |
0.308133 | − | 0.951343i | \(-0.400296\pi\) | |||||||
\(920\) | −24.8309 | + | 43.0085i | −0.000889839 | + | 0.00154125i | ||||
\(921\) | −66808.6 | − | 24316.3i | −2.39025 | − | 0.869979i | ||||
\(922\) | 5865.10 | + | 2134.72i | 0.209498 | + | 0.0762509i | ||||
\(923\) | −6925.48 | + | 11995.3i | −0.246972 | + | 0.427768i | ||||
\(924\) | −8281.80 | − | 14344.5i | −0.294861 | − | 0.510714i | ||||
\(925\) | 15909.9 | + | 90229.7i | 0.565530 | + | 3.20728i | ||||
\(926\) | 12370.9 | + | 10380.4i | 0.439021 | + | 0.368383i | ||||
\(927\) | 21848.5 | − | 18333.0i | 0.774107 | − | 0.649553i | ||||
\(928\) | 233.425 | − | 1323.82i | 0.00825705 | − | 0.0468280i | ||||
\(929\) | 12064.1 | − | 4390.97i | 0.426060 | − | 0.155073i | −0.120085 | − | 0.992764i | \(-0.538317\pi\) |
0.546145 | + | 0.837690i | \(0.316095\pi\) | |||||||
\(930\) | 667.392 | 0.0235319 | ||||||||
\(931\) | 13486.9 | + | 16161.1i | 0.474776 | + | 0.568914i | ||||
\(932\) | 13403.3 | 0.471072 | ||||||||
\(933\) | 76567.3 | − | 27868.2i | 2.68671 | − | 0.977882i | ||||
\(934\) | 6338.36 | − | 35946.6i | 0.222053 | − | 1.25932i | ||||
\(935\) | 24596.6 | − | 20639.0i | 0.860316 | − | 0.721891i | ||||
\(936\) | 7178.62 | + | 6023.58i | 0.250684 | + | 0.210349i | ||||
\(937\) | −5661.39 | − | 32107.3i | −0.197385 | − | 1.11942i | −0.908981 | − | 0.416836i | \(-0.863139\pi\) |
0.711597 | − | 0.702588i | \(-0.247972\pi\) | |||||||
\(938\) | −6070.58 | − | 10514.5i | −0.211313 | − | 0.366004i | ||||
\(939\) | −41336.1 | + | 71596.2i | −1.43658 | + | 2.48823i | ||||
\(940\) | −9224.62 | − | 3357.49i | −0.320079 | − | 0.116499i | ||||
\(941\) | −23090.3 | − | 8404.18i | −0.799917 | − | 0.291146i | −0.0904648 | − | 0.995900i | \(-0.528835\pi\) |
−0.709452 | + | 0.704754i | \(0.751057\pi\) | |||||||
\(942\) | −28912.2 | + | 50077.4i | −1.00001 | + | 1.73207i | ||||
\(943\) | −7.29044 | − | 12.6274i | −0.000251760 | − | 0.000436061i | ||||
\(944\) | 1530.16 | + | 8677.96i | 0.0527568 | + | 0.299199i | ||||
\(945\) | −31749.5 | − | 26641.0i | −1.09292 | − | 0.917071i | ||||
\(946\) | −29037.6 | + | 24365.5i | −0.997986 | + | 0.837409i | ||||
\(947\) | 2906.74 | − | 16484.9i | 0.0997428 | − | 0.565669i | −0.893448 | − | 0.449167i | \(-0.851721\pi\) |
0.993190 | − | 0.116502i | \(-0.0371682\pi\) | |||||||
\(948\) | 13511.3 | − | 4917.69i | 0.462896 | − | 0.168480i | ||||
\(949\) | −9227.97 | −0.315651 | ||||||||
\(950\) | 45116.4 | − | 7830.28i | 1.54081 | − | 0.267419i | ||||
\(951\) | 8023.22 | 0.273576 | ||||||||
\(952\) | −2293.33 | + | 834.703i | −0.0780748 | + | 0.0284169i | ||||
\(953\) | 3171.20 | − | 17984.8i | 0.107791 | − | 0.611316i | −0.882277 | − | 0.470730i | \(-0.843990\pi\) |
0.990069 | − | 0.140585i | \(-0.0448984\pi\) | |||||||
\(954\) | −7417.35 | + | 6223.90i | −0.251725 | + | 0.211222i | ||||
\(955\) | −65055.3 | − | 54587.9i | −2.20433 | − | 1.84966i | ||||
\(956\) | 587.780 | + | 3333.47i | 0.0198851 | + | 0.112774i | ||||
\(957\) | 9227.65 | + | 15982.8i | 0.311690 | + | 0.539863i | ||||
\(958\) | −394.032 | + | 682.484i | −0.0132887 | + | 0.0230168i | ||||
\(959\) | −474.804 | − | 172.814i | −0.0159877 | − | 0.00581905i | ||||
\(960\) | −10692.1 | − | 3891.60i | −0.359464 | − | 0.130834i | ||||
\(961\) | 14893.7 | − | 25796.7i | 0.499941 | − | 0.865923i | ||||
\(962\) | −7504.19 | − | 12997.6i | −0.251502 | − | 0.435614i | ||||
\(963\) | −8979.34 | − | 50924.4i | −0.300473 | − | 1.70407i | ||||
\(964\) | 16461.4 | + | 13812.7i | 0.549984 | + | 0.461492i | ||||
\(965\) | −13917.3 | + | 11678.0i | −0.464262 | + | 0.389562i | ||||
\(966\) | −8.99906 | + | 51.0362i | −0.000299731 | + | 0.00169986i | ||||
\(967\) | −34470.4 | + | 12546.2i | −1.14632 | + | 0.417227i | −0.844193 | − | 0.536040i | \(-0.819920\pi\) |
−0.302129 | + | 0.953267i | \(0.597697\pi\) | |||||||
\(968\) | 8963.89 | 0.297635 | ||||||||
\(969\) | −23412.3 | − | 4193.13i | −0.776174 | − | 0.139012i | ||||
\(970\) | −59325.7 | −1.96375 | ||||||||
\(971\) | −51355.9 | + | 18692.0i | −1.69731 | + | 0.617771i | −0.995515 | − | 0.0946055i | \(-0.969841\pi\) |
−0.701797 | + | 0.712377i | \(0.747619\pi\) | |||||||
\(972\) | 722.649 | − | 4098.34i | 0.0238467 | − | 0.135241i | ||||
\(973\) | 2772.12 | − | 2326.09i | 0.0913362 | − | 0.0766402i | ||||
\(974\) | −16380.6 | − | 13744.9i | −0.538878 | − | 0.452172i | ||||
\(975\) | −9644.80 | − | 54698.4i | −0.316801 | − | 1.79667i | ||||
\(976\) | 4219.56 | + | 7308.49i | 0.138386 | + | 0.239692i | ||||
\(977\) | −19122.3 | + | 33120.8i | −0.626178 | + | 1.08457i | 0.362134 | + | 0.932126i | \(0.382048\pi\) |
−0.988312 | + | 0.152446i | \(0.951285\pi\) | |||||||
\(978\) | 4469.21 | + | 1626.66i | 0.146124 | + | 0.0531849i | ||||
\(979\) | 40989.5 | + | 14918.9i | 1.33813 | + | 0.487039i | ||||
\(980\) | −10184.9 | + | 17640.8i | −0.331984 | + | 0.575013i | ||||
\(981\) | 7748.18 | + | 13420.2i | 0.252172 | + | 0.436774i | ||||
\(982\) | 986.575 | + | 5595.14i | 0.0320599 | + | 0.181821i | ||||
\(983\) | 1737.09 | + | 1457.60i | 0.0563629 | + | 0.0472941i | 0.670534 | − | 0.741879i | \(-0.266065\pi\) |
−0.614171 | + | 0.789173i | \(0.710510\pi\) | |||||||
\(984\) | 2559.12 | − | 2147.36i | 0.0829083 | − | 0.0695683i | ||||
\(985\) | 14983.5 | − | 84975.5i | 0.484683 | − | 2.74878i | ||||
\(986\) | 2555.24 | − | 930.033i | 0.0825310 | − | 0.0300388i | ||||
\(987\) | −10243.9 | −0.330363 | ||||||||
\(988\) | −6506.05 | + | 3732.99i | −0.209499 | + | 0.120205i | ||||
\(989\) | 118.598 | 0.00381316 | ||||||||
\(990\) | 96453.8 | − | 35106.3i | 3.09647 | − | 1.12702i | ||||
\(991\) | −8013.62 | + | 45447.5i | −0.256873 | + | 1.45680i | 0.534346 | + | 0.845266i | \(0.320558\pi\) |
−0.791219 | + | 0.611533i | \(0.790553\pi\) | |||||||
\(992\) | 46.0107 | − | 38.6075i | 0.00147262 | − | 0.00123568i | ||||
\(993\) | 20143.8 | + | 16902.7i | 0.643751 | + | 0.540171i | ||||
\(994\) | −2002.42 | − | 11356.3i | −0.0638963 | − | 0.362374i | ||||
\(995\) | 24097.9 | + | 41738.7i | 0.767793 | + | 1.32986i | ||||
\(996\) | −13746.3 | + | 23809.3i | −0.437318 | + | 0.757457i | ||||
\(997\) | 28646.2 | + | 10426.3i | 0.909963 | + | 0.331199i | 0.754238 | − | 0.656601i | \(-0.228006\pi\) |
0.155725 | + | 0.987800i | \(0.450229\pi\) | |||||||
\(998\) | −3289.05 | − | 1197.11i | −0.104322 | − | 0.0379699i | ||||
\(999\) | 36367.7 | − | 62990.7i | 1.15178 | − | 1.99493i |
(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 | 38.4.e.a.5.1 | ✓ | 12 | |
19.2 | odd | 18 | 722.4.a.o.1.6 | 6 | |||
19.4 | even | 9 | inner | 38.4.e.a.23.1 | yes | 12 | |
19.17 | even | 9 | 722.4.a.p.1.1 | 6 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
38.4.e.a.5.1 | ✓ | 12 | 1.1 | even | 1 | trivial | |
38.4.e.a.23.1 | yes | 12 | 19.4 | even | 9 | inner | |
722.4.a.o.1.6 | 6 | 19.2 | odd | 18 | |||
722.4.a.p.1.1 | 6 | 19.17 | even | 9 |