Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [143,4,Mod(2,143)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(143, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([6, 5]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("143.2");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 143 = 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 143.w (of order \(60\), degree \(16\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(8.43727313082\) |
Analytic rank: | \(0\) |
Dimension: | \(640\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 2.4 | ||
Character | \(\chi\) | \(=\) | 143.2 |
Dual form | 143.4.w.a.72.4 |
$q$-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 \(\left(\mathbb{Z}/143\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) |
\(\chi(n)\) | \(e\left(\frac{1}{12}\right)\) | \(e\left(\frac{1}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −4.06520 | − | 2.63997i | −1.43726 | − | 0.933370i | −0.999411 | − | 0.0343239i | \(-0.989072\pi\) |
−0.437853 | − | 0.899046i | \(-0.644261\pi\) | |||||||
\(3\) | 8.74527 | + | 3.89365i | 1.68303 | + | 0.749333i | 0.999817 | + | 0.0191115i | \(0.00608375\pi\) |
0.683211 | + | 0.730221i | \(0.260583\pi\) | |||||||
\(4\) | 6.30249 | + | 14.1556i | 0.787812 | + | 1.76945i | ||||
\(5\) | −10.6455 | − | 5.42415i | −0.952162 | − | 0.485151i | −0.0923300 | − | 0.995728i | \(-0.529431\pi\) |
−0.859831 | + | 0.510578i | \(0.829431\pi\) | |||||||
\(6\) | −25.2721 | − | 38.9157i | −1.71955 | − | 2.64788i | ||||
\(7\) | −7.80705 | + | 20.3381i | −0.421541 | + | 1.09815i | 0.544271 | + | 0.838910i | \(0.316806\pi\) |
−0.965812 | + | 0.259243i | \(0.916527\pi\) | |||||||
\(8\) | 5.68342 | − | 35.8837i | 0.251174 | − | 1.58585i | ||||
\(9\) | 43.2528 | + | 48.0371i | 1.60195 | + | 1.77915i | ||||
\(10\) | 28.9564 | + | 50.1540i | 0.915683 | + | 1.58601i | ||||
\(11\) | −26.4050 | − | 25.1749i | −0.723765 | − | 0.690047i | ||||
\(12\) | 148.335i | 3.56837i | ||||||||
\(13\) | −42.8851 | + | 18.9175i | −0.914937 | + | 0.403597i | ||||
\(14\) | 85.4291 | − | 62.0679i | 1.63085 | − | 1.18488i | ||||
\(15\) | −71.9780 | − | 88.8854i | −1.23898 | − | 1.53001i | ||||
\(16\) | −34.8892 | + | 38.7484i | −0.545144 | + | 0.605444i | ||||
\(17\) | −120.910 | − | 25.7002i | −1.72500 | − | 0.366659i | −0.764430 | − | 0.644707i | \(-0.776979\pi\) |
−0.960567 | + | 0.278048i | \(0.910313\pi\) | |||||||
\(18\) | −49.0146 | − | 309.466i | −0.641825 | − | 4.05233i | ||||
\(19\) | 8.39001 | − | 10.3608i | 0.101305 | − | 0.125102i | −0.723972 | − | 0.689829i | \(-0.757686\pi\) |
0.825277 | + | 0.564728i | \(0.191019\pi\) | |||||||
\(20\) | 9.68911 | − | 184.879i | 0.108328 | − | 2.06701i | ||||
\(21\) | −147.464 | + | 147.464i | −1.53235 | + | 1.53235i | ||||
\(22\) | 40.8806 | + | 172.049i | 0.396171 | + | 1.66732i | ||||
\(23\) | −23.8517 | + | 13.7708i | −0.216236 | + | 0.124844i | −0.604206 | − | 0.796828i | \(-0.706510\pi\) |
0.387970 | + | 0.921672i | \(0.373176\pi\) | |||||||
\(24\) | 189.421 | − | 291.683i | 1.61106 | − | 2.48082i | ||||
\(25\) | 10.4319 | + | 14.3583i | 0.0834553 | + | 0.114866i | ||||
\(26\) | 224.278 | + | 36.3121i | 1.69171 | + | 0.273900i | ||||
\(27\) | 111.347 | + | 342.691i | 0.793656 | + | 2.44262i | ||||
\(28\) | −337.102 | + | 17.6668i | −2.27523 | + | 0.119240i | ||||
\(29\) | 6.20009 | + | 0.651656i | 0.0397010 | + | 0.00417274i | 0.124358 | − | 0.992237i | \(-0.460313\pi\) |
−0.0846572 | + | 0.996410i | \(0.526980\pi\) | |||||||
\(30\) | 57.9499 | + | 551.356i | 0.352672 | + | 3.35545i | ||||
\(31\) | 56.5063 | + | 110.900i | 0.327382 | + | 0.642523i | 0.994765 | − | 0.102192i | \(-0.0325855\pi\) |
−0.667383 | + | 0.744715i | \(0.732586\pi\) | |||||||
\(32\) | −36.6181 | + | 9.81178i | −0.202288 | + | 0.0542029i | ||||
\(33\) | −132.897 | − | 322.973i | −0.701042 | − | 1.70371i | ||||
\(34\) | 423.675 | + | 423.675i | 2.13705 | + | 2.13705i | ||||
\(35\) | 193.427 | − | 174.162i | 0.934145 | − | 0.841108i | ||||
\(36\) | −407.395 | + | 915.024i | −1.88609 | + | 4.23622i | ||||
\(37\) | −198.522 | + | 160.760i | −0.882078 | + | 0.714292i | −0.959200 | − | 0.282729i | \(-0.908760\pi\) |
0.0771221 | + | 0.997022i | \(0.475427\pi\) | |||||||
\(38\) | −61.4592 | + | 19.9693i | −0.262369 | + | 0.0852487i | ||||
\(39\) | −448.700 | − | 1.54099i | −1.84229 | − | 0.00632708i | ||||
\(40\) | −255.141 | + | 351.172i | −1.00853 | + | 1.38813i | ||||
\(41\) | 122.373 | + | 318.792i | 0.466131 | + | 1.21431i | 0.942243 | + | 0.334929i | \(0.108712\pi\) |
−0.476112 | + | 0.879385i | \(0.657954\pi\) | |||||||
\(42\) | 988.771 | − | 210.170i | 3.63264 | − | 0.772140i | ||||
\(43\) | 68.0366 | − | 117.843i | 0.241290 | − | 0.417927i | −0.719792 | − | 0.694190i | \(-0.755763\pi\) |
0.961082 | + | 0.276263i | \(0.0890960\pi\) | |||||||
\(44\) | 189.949 | − | 532.444i | 0.650816 | − | 1.82429i | ||||
\(45\) | −199.887 | − | 745.988i | −0.662164 | − | 2.47123i | ||||
\(46\) | 133.317 | + | 6.98682i | 0.427314 | + | 0.0223946i | ||||
\(47\) | 360.985 | + | 57.1744i | 1.12032 | + | 0.177441i | 0.689003 | − | 0.724759i | \(-0.258049\pi\) |
0.431318 | + | 0.902200i | \(0.358049\pi\) | |||||||
\(48\) | −455.988 | + | 203.019i | −1.37117 | + | 0.610485i | ||||
\(49\) | −97.7883 | − | 88.0490i | −0.285097 | − | 0.256703i | ||||
\(50\) | −4.50231 | − | 85.9092i | −0.0127345 | − | 0.242988i | ||||
\(51\) | −957.322 | − | 695.535i | −2.62847 | − | 1.90969i | ||||
\(52\) | −538.071 | − | 487.838i | −1.43494 | − | 1.30098i | ||||
\(53\) | −118.170 | + | 363.689i | −0.306261 | + | 0.942575i | 0.672942 | + | 0.739695i | \(0.265030\pi\) |
−0.979204 | + | 0.202880i | \(0.934970\pi\) | |||||||
\(54\) | 452.046 | − | 1687.06i | 1.13918 | − | 4.25147i | ||||
\(55\) | 144.542 | + | 411.224i | 0.354364 | + | 1.00817i | ||||
\(56\) | 685.434 | + | 395.736i | 1.63563 | + | 0.944329i | ||||
\(57\) | 113.714 | − | 57.9403i | 0.264242 | − | 0.134638i | ||||
\(58\) | −23.4842 | − | 19.0172i | −0.0531661 | − | 0.0430530i | ||||
\(59\) | 66.5780 | + | 25.5569i | 0.146910 | + | 0.0563936i | 0.430712 | − | 0.902489i | \(-0.358262\pi\) |
−0.283802 | + | 0.958883i | \(0.591596\pi\) | |||||||
\(60\) | 804.588 | − | 1579.09i | 1.73120 | − | 3.39767i | ||||
\(61\) | −27.0544 | + | 127.281i | −0.0567862 | + | 0.267158i | −0.997377 | − | 0.0723848i | \(-0.976939\pi\) |
0.940591 | + | 0.339543i | \(0.110272\pi\) | |||||||
\(62\) | 63.0631 | − | 600.005i | 0.129178 | − | 1.22904i | ||||
\(63\) | −1314.66 | + | 504.650i | −2.62907 | + | 1.00921i | ||||
\(64\) | 571.476 | + | 185.684i | 1.11616 | + | 0.362664i | ||||
\(65\) | 559.144 | + | 31.2294i | 1.06697 | + | 0.0595928i | ||||
\(66\) | −312.387 | + | 1663.79i | −0.582609 | + | 3.10301i | ||||
\(67\) | −692.679 | − | 185.603i | −1.26305 | − | 0.338433i | −0.435685 | − | 0.900099i | \(-0.643494\pi\) |
−0.827364 | + | 0.561666i | \(0.810160\pi\) | |||||||
\(68\) | −398.231 | − | 1873.53i | −0.710186 | − | 3.34116i | ||||
\(69\) | −262.209 | + | 27.5592i | −0.457481 | + | 0.0480832i | ||||
\(70\) | −1246.10 | + | 197.363i | −2.12768 | + | 0.336991i | ||||
\(71\) | −146.133 | + | 94.9000i | −0.244265 | + | 0.158628i | −0.660966 | − | 0.750416i | \(-0.729853\pi\) |
0.416700 | + | 0.909044i | \(0.363186\pi\) | |||||||
\(72\) | 1969.57 | − | 1279.05i | 3.22384 | − | 2.09358i | ||||
\(73\) | 1026.28 | − | 162.548i | 1.64545 | − | 0.260613i | 0.736167 | − | 0.676800i | \(-0.236634\pi\) |
0.909279 | + | 0.416187i | \(0.136634\pi\) | |||||||
\(74\) | 1231.43 | − | 129.429i | 1.93448 | − | 0.203322i | ||||
\(75\) | 35.3238 | + | 166.185i | 0.0543845 | + | 0.255859i | ||||
\(76\) | 199.542 | + | 53.4670i | 0.301171 | + | 0.0806985i | ||||
\(77\) | 718.154 | − | 340.485i | 1.06287 | − | 0.503921i | ||||
\(78\) | 1819.98 | + | 1190.82i | 2.64196 | + | 1.72864i | ||||
\(79\) | −436.714 | − | 141.897i | −0.621952 | − | 0.202084i | −0.0189452 | − | 0.999821i | \(-0.506031\pi\) |
−0.603007 | + | 0.797736i | \(0.706031\pi\) | |||||||
\(80\) | 581.590 | − | 223.252i | 0.812797 | − | 0.312004i | ||||
\(81\) | −178.124 | + | 1694.74i | −0.244341 | + | 2.32475i | ||||
\(82\) | 344.131 | − | 1619.01i | 0.463450 | − | 2.18036i | ||||
\(83\) | −230.481 | + | 452.345i | −0.304802 | + | 0.598208i | −0.991704 | − | 0.128542i | \(-0.958970\pi\) |
0.686902 | + | 0.726750i | \(0.258970\pi\) | |||||||
\(84\) | −3016.84 | − | 1158.06i | −3.91862 | − | 1.50422i | ||||
\(85\) | 1147.74 | + | 929.424i | 1.46459 | + | 1.18600i | ||||
\(86\) | −587.684 | + | 299.440i | −0.736879 | + | 0.375459i | ||||
\(87\) | 51.6842 | + | 29.8399i | 0.0636911 | + | 0.0367721i | ||||
\(88\) | −1053.44 | + | 804.430i | −1.27610 | + | 0.974460i | ||||
\(89\) | 286.436 | − | 1068.99i | 0.341147 | − | 1.27318i | −0.555901 | − | 0.831248i | \(-0.687627\pi\) |
0.897049 | − | 0.441931i | \(-0.145707\pi\) | |||||||
\(90\) | −1156.81 | + | 3560.28i | −1.35487 | + | 4.16985i | ||||
\(91\) | −49.9385 | − | 1019.89i | −0.0575272 | − | 1.17487i | ||||
\(92\) | −345.260 | − | 250.846i | −0.391259 | − | 0.284266i | ||||
\(93\) | 62.3582 | + | 1189.87i | 0.0695295 | + | 1.32670i | ||||
\(94\) | −1316.54 | − | 1185.41i | −1.44458 | − | 1.30070i | ||||
\(95\) | −145.514 | + | 64.7871i | −0.157152 | + | 0.0699686i | ||||
\(96\) | −358.439 | − | 56.7711i | −0.381073 | − | 0.0603560i | ||||
\(97\) | −861.998 | − | 45.1754i | −0.902295 | − | 0.0472873i | −0.404457 | − | 0.914557i | \(-0.632539\pi\) |
−0.497838 | + | 0.867270i | \(0.665873\pi\) | |||||||
\(98\) | 165.082 | + | 616.095i | 0.170161 | + | 0.635051i | ||||
\(99\) | 67.2385 | − | 2357.30i | 0.0682599 | − | 2.39311i | ||||
\(100\) | −137.504 | + | 238.163i | −0.137504 | + | 0.238163i | ||||
\(101\) | −348.598 | + | 74.0968i | −0.343434 | + | 0.0729991i | −0.376400 | − | 0.926457i | \(-0.622838\pi\) |
0.0329660 | + | 0.999456i | \(0.489505\pi\) | |||||||
\(102\) | 2055.51 | + | 5354.79i | 1.99535 | + | 5.19807i | ||||
\(103\) | 685.962 | − | 944.145i | 0.656212 | − | 0.903198i | −0.343137 | − | 0.939285i | \(-0.611489\pi\) |
0.999349 | + | 0.0360875i | \(0.0114895\pi\) | |||||||
\(104\) | 435.094 | + | 1646.39i | 0.410236 | + | 1.55233i | ||||
\(105\) | 2369.69 | − | 769.960i | 2.20246 | − | 0.715623i | ||||
\(106\) | 1440.51 | − | 1166.50i | 1.31995 | − | 1.06887i | ||||
\(107\) | 638.363 | − | 1433.79i | 0.576756 | − | 1.29541i | −0.355858 | − | 0.934540i | \(-0.615811\pi\) |
0.932614 | − | 0.360875i | \(-0.117522\pi\) | |||||||
\(108\) | −4149.24 | + | 3735.99i | −3.69686 | + | 3.32866i | ||||
\(109\) | 1010.17 | + | 1010.17i | 0.887677 | + | 0.887677i | 0.994300 | − | 0.106623i | \(-0.0340037\pi\) |
−0.106623 | + | 0.994300i | \(0.534004\pi\) | |||||||
\(110\) | 498.027 | − | 2053.29i | 0.431682 | − | 1.77976i | ||||
\(111\) | −2362.08 | + | 632.916i | −2.01980 | + | 0.541205i | ||||
\(112\) | −515.686 | − | 1012.09i | −0.435069 | − | 0.853871i | ||||
\(113\) | 15.5723 | + | 148.161i | 0.0129639 | + | 0.123343i | 0.999090 | − | 0.0426557i | \(-0.0135819\pi\) |
−0.986126 | + | 0.165999i | \(0.946915\pi\) | |||||||
\(114\) | −615.231 | − | 64.6634i | −0.505453 | − | 0.0531253i | ||||
\(115\) | 328.608 | − | 17.2216i | 0.266460 | − | 0.0139646i | ||||
\(116\) | 29.8514 | + | 91.8732i | 0.0238934 | + | 0.0735363i | ||||
\(117\) | −2763.64 | − | 1241.84i | −2.18375 | − | 0.981267i | ||||
\(118\) | −203.183 | − | 279.658i | −0.158513 | − | 0.218174i | ||||
\(119\) | 1466.64 | − | 2258.43i | 1.12981 | − | 1.73975i | ||||
\(120\) | −3598.62 | + | 2077.66i | −2.73756 | + | 1.58053i | ||||
\(121\) | 63.4490 | + | 1329.49i | 0.0476702 | + | 0.998863i | ||||
\(122\) | 445.999 | − | 445.999i | 0.330974 | − | 0.330974i | ||||
\(123\) | −171.080 | + | 3264.39i | −0.125412 | + | 2.39301i | ||||
\(124\) | −1213.73 | + | 1498.83i | −0.879000 | + | 1.08547i | ||||
\(125\) | 200.458 | + | 1265.64i | 0.143436 | + | 0.905620i | ||||
\(126\) | 6676.60 | + | 1419.16i | 4.72063 | + | 1.00340i | ||||
\(127\) | −863.304 | + | 958.797i | −0.603196 | + | 0.669917i | −0.964973 | − | 0.262348i | \(-0.915503\pi\) |
0.361778 | + | 0.932264i | \(0.382170\pi\) | |||||||
\(128\) | −1642.10 | − | 2027.83i | −1.13393 | − | 1.40028i | ||||
\(129\) | 1053.84 | − | 765.658i | 0.719265 | − | 0.522577i | ||||
\(130\) | −2190.58 | − | 1603.08i | −1.47790 | − | 1.08153i | ||||
\(131\) | − | 248.215i | − | 0.165547i | −0.996568 | − | 0.0827734i | \(-0.973622\pi\) | ||
0.996568 | − | 0.0827734i | \(-0.0263778\pi\) | |||||||
\(132\) | 3734.31 | − | 3916.77i | 2.46235 | − | 2.58266i | ||||
\(133\) | 145.217 | + | 251.524i | 0.0946763 | + | 0.163984i | ||||
\(134\) | 2325.89 | + | 2583.16i | 1.49945 | + | 1.66531i | ||||
\(135\) | 673.462 | − | 4252.07i | 0.429351 | − | 2.71081i | ||||
\(136\) | −1609.40 | + | 4192.63i | −1.01474 | + | 2.64349i | ||||
\(137\) | −437.715 | − | 674.022i | −0.272967 | − | 0.420333i | 0.675427 | − | 0.737427i | \(-0.263959\pi\) |
−0.948394 | + | 0.317094i | \(0.897293\pi\) | |||||||
\(138\) | 1138.69 | + | 580.189i | 0.702401 | + | 0.357891i | ||||
\(139\) | 342.489 | + | 769.244i | 0.208990 | + | 0.469399i | 0.987377 | − | 0.158385i | \(-0.0506288\pi\) |
−0.778388 | + | 0.627784i | \(0.783962\pi\) | |||||||
\(140\) | 3684.44 | + | 1640.42i | 2.22423 | + | 0.990291i | ||||
\(141\) | 2934.29 | + | 1905.55i | 1.75257 | + | 1.13813i | ||||
\(142\) | 844.593 | 0.499132 | ||||||||
\(143\) | 1608.63 | + | 580.112i | 0.940700 | + | 0.339240i | ||||
\(144\) | −3370.42 | −1.95047 | ||||||||
\(145\) | −62.4683 | − | 40.5674i | −0.0357773 | − | 0.0232341i | ||||
\(146\) | −4601.17 | − | 2048.57i | −2.60819 | − | 1.16124i | ||||
\(147\) | −512.354 | − | 1150.77i | −0.287471 | − | 0.645670i | ||||
\(148\) | −3526.85 | − | 1797.02i | −1.95882 | − | 0.998068i | ||||
\(149\) | −100.261 | − | 154.388i | −0.0551255 | − | 0.0848858i | 0.810033 | − | 0.586384i | \(-0.199449\pi\) |
−0.865159 | + | 0.501498i | \(0.832782\pi\) | |||||||
\(150\) | 295.126 | − | 768.830i | 0.160646 | − | 0.418498i | ||||
\(151\) | 395.877 | − | 2499.47i | 0.213351 | − | 1.34704i | −0.615748 | − | 0.787943i | \(-0.711146\pi\) |
0.829099 | − | 0.559102i | \(-0.188854\pi\) | |||||||
\(152\) | −324.100 | − | 359.949i | −0.172947 | − | 0.192077i | ||||
\(153\) | −3995.12 | − | 6919.76i | −2.11102 | − | 3.65640i | ||||
\(154\) | −3818.31 | − | 511.766i | −1.99797 | − | 0.267788i | ||||
\(155\) | − | 1487.08i | − | 0.770615i | ||||||
\(156\) | −2806.11 | − | 6361.34i | −1.44018 | − | 3.26484i | ||||
\(157\) | −547.458 | + | 397.751i | −0.278292 | + | 0.202191i | −0.718172 | − | 0.695865i | \(-0.755021\pi\) |
0.439880 | + | 0.898057i | \(0.355021\pi\) | |||||||
\(158\) | 1400.73 | + | 1729.75i | 0.705290 | + | 0.870960i | ||||
\(159\) | −2449.50 | + | 2720.45i | −1.22175 | + | 1.35689i | ||||
\(160\) | 443.038 | + | 94.1706i | 0.218908 | + | 0.0465302i | ||||
\(161\) | −93.8599 | − | 592.608i | −0.0459453 | − | 0.290087i | ||||
\(162\) | 5198.18 | − | 6419.21i | 2.52103 | − | 3.11322i | ||||
\(163\) | −92.2782 | + | 1760.77i | −0.0443423 | + | 0.846101i | 0.882422 | + | 0.470458i | \(0.155911\pi\) |
−0.926765 | + | 0.375643i | \(0.877422\pi\) | |||||||
\(164\) | −3741.44 | + | 3741.44i | −1.78145 | + | 1.78145i | ||||
\(165\) | −337.102 | + | 4159.06i | −0.159051 | + | 1.96232i | ||||
\(166\) | 2131.13 | − | 1230.41i | 0.996431 | − | 0.575290i | ||||
\(167\) | −737.521 | + | 1135.68i | −0.341743 | + | 0.526238i | −0.967199 | − | 0.254022i | \(-0.918247\pi\) |
0.625455 | + | 0.780260i | \(0.284913\pi\) | |||||||
\(168\) | 4453.46 | + | 6129.66i | 2.04519 | + | 2.81496i | ||||
\(169\) | 1481.26 | − | 1622.55i | 0.674219 | − | 0.738531i | ||||
\(170\) | −2212.15 | − | 6808.30i | −0.998024 | − | 3.07160i | ||||
\(171\) | 860.594 | − | 45.1018i | 0.384861 | − | 0.0201697i | ||||
\(172\) | 2096.94 | + | 220.397i | 0.929595 | + | 0.0977043i | ||||
\(173\) | 387.642 | + | 3688.16i | 0.170357 | + | 1.62084i | 0.661625 | + | 0.749835i | \(0.269867\pi\) |
−0.491268 | + | 0.871009i | \(0.663466\pi\) | |||||||
\(174\) | −131.330 | − | 257.750i | −0.0572190 | − | 0.112299i | ||||
\(175\) | −373.462 | + | 100.069i | −0.161321 | + | 0.0432257i | ||||
\(176\) | 1896.74 | − | 144.819i | 0.812341 | − | 0.0620237i | ||||
\(177\) | 482.733 | + | 482.733i | 0.204997 | + | 0.204997i | ||||
\(178\) | −3986.53 | + | 3589.48i | −1.67867 | + | 1.51148i | ||||
\(179\) | −1208.89 | + | 2715.20i | −0.504784 | + | 1.13376i | 0.463995 | + | 0.885838i | \(0.346416\pi\) |
−0.968779 | + | 0.247926i | \(0.920251\pi\) | |||||||
\(180\) | 9300.14 | − | 7531.10i | 3.85106 | − | 3.11853i | ||||
\(181\) | 797.112 | − | 258.998i | 0.327342 | − | 0.106360i | −0.140736 | − | 0.990047i | \(-0.544947\pi\) |
0.468078 | + | 0.883687i | \(0.344947\pi\) | |||||||
\(182\) | −2489.47 | + | 4277.89i | −1.01391 | + | 1.74230i | ||||
\(183\) | −732.185 | + | 1007.77i | −0.295763 | + | 0.407083i | ||||
\(184\) | 358.588 | + | 934.154i | 0.143671 | + | 0.374276i | ||||
\(185\) | 2985.35 | − | 634.557i | 1.18642 | − | 0.252181i | ||||
\(186\) | 2887.71 | − | 5001.66i | 1.13837 | − | 1.97172i | ||||
\(187\) | 2545.63 | + | 3722.51i | 0.995479 | + | 1.45570i | ||||
\(188\) | 1465.76 | + | 5470.31i | 0.568627 | + | 2.12215i | ||||
\(189\) | −7838.96 | − | 410.822i | −3.01693 | − | 0.158111i | ||||
\(190\) | 762.580 | + | 120.781i | 0.291176 | + | 0.0461177i | ||||
\(191\) | −2977.25 | + | 1325.56i | −1.12789 | + | 0.502168i | −0.883931 | − | 0.467618i | \(-0.845112\pi\) |
−0.243957 | + | 0.969786i | \(0.578446\pi\) | |||||||
\(192\) | 4274.72 | + | 3848.98i | 1.60678 | + | 1.44675i | ||||
\(193\) | −69.2992 | − | 1322.31i | −0.0258459 | − | 0.493170i | −0.980630 | − | 0.195870i | \(-0.937247\pi\) |
0.954784 | − | 0.297300i | \(-0.0960863\pi\) | |||||||
\(194\) | 3384.93 | + | 2459.29i | 1.25270 | + | 0.910139i | ||||
\(195\) | 4768.27 | + | 2450.22i | 1.75109 | + | 0.899814i | ||||
\(196\) | 630.079 | − | 1939.18i | 0.229621 | − | 0.706700i | ||||
\(197\) | −593.002 | + | 2213.11i | −0.214465 | + | 0.800394i | 0.771889 | + | 0.635757i | \(0.219312\pi\) |
−0.986354 | + | 0.164637i | \(0.947355\pi\) | |||||||
\(198\) | −6496.55 | + | 9405.40i | −2.33177 | + | 3.37582i | ||||
\(199\) | 316.344 | + | 182.641i | 0.112689 | + | 0.0650608i | 0.555285 | − | 0.831660i | \(-0.312609\pi\) |
−0.442596 | + | 0.896721i | \(0.645943\pi\) | |||||||
\(200\) | 574.517 | − | 292.731i | 0.203123 | − | 0.103496i | ||||
\(201\) | −5335.00 | − | 4320.20i | −1.87215 | − | 1.51604i | ||||
\(202\) | 1612.73 | + | 619.070i | 0.561740 | + | 0.215632i | ||||
\(203\) | −61.6579 | + | 121.010i | −0.0213179 | + | 0.0418387i | ||||
\(204\) | 3812.22 | − | 17935.1i | 1.30838 | − | 6.15543i | ||||
\(205\) | 426.456 | − | 4057.46i | 0.145293 | − | 1.38237i | ||||
\(206\) | −5281.08 | + | 2027.22i | −1.78617 | + | 0.685646i | ||||
\(207\) | −1693.16 | − | 550.142i | −0.568517 | − | 0.184722i | ||||
\(208\) | 763.206 | − | 2321.74i | 0.254417 | − | 0.773962i | ||||
\(209\) | −482.370 | + | 62.3594i | −0.159647 | + | 0.0206387i | ||||
\(210\) | −11665.9 | − | 3125.88i | −3.83346 | − | 1.02717i | ||||
\(211\) | 71.4357 | + | 336.079i | 0.0233073 | + | 0.109652i | 0.988264 | − | 0.152759i | \(-0.0488157\pi\) |
−0.964956 | + | 0.262411i | \(0.915482\pi\) | |||||||
\(212\) | −5893.01 | + | 619.380i | −1.90912 | + | 0.200657i | ||||
\(213\) | −1647.48 | + | 260.935i | −0.529970 | + | 0.0839390i | ||||
\(214\) | −6380.22 | + | 4143.37i | −2.03805 | + | 1.32353i | ||||
\(215\) | −1363.48 | + | 885.455i | −0.432505 | + | 0.280872i | ||||
\(216\) | 12929.8 | − | 2047.88i | 4.07298 | − | 0.645097i | ||||
\(217\) | −2696.64 | + | 283.428i | −0.843593 | + | 0.0886652i | ||||
\(218\) | −1439.72 | − | 6773.36i | −0.447295 | − | 2.10436i | ||||
\(219\) | 9608.04 | + | 2574.47i | 2.96462 | + | 0.794367i | ||||
\(220\) | −4910.16 | + | 4637.82i | −1.50474 | + | 1.42128i | ||||
\(221\) | 5671.41 | − | 1185.15i | 1.72625 | − | 0.360733i | ||||
\(222\) | 11273.2 | + | 3662.88i | 3.40814 | + | 1.10737i | ||||
\(223\) | 25.3815 | − | 9.74303i | 0.00762183 | − | 0.00292575i | −0.354554 | − | 0.935036i | \(-0.615367\pi\) |
0.362176 | + | 0.932110i | \(0.382034\pi\) | |||||||
\(224\) | 86.3265 | − | 821.342i | 0.0257497 | − | 0.244992i | ||||
\(225\) | −238.521 | + | 1122.15i | −0.0706730 | + | 0.332490i | ||||
\(226\) | 327.835 | − | 643.412i | 0.0964923 | − | 0.189377i | ||||
\(227\) | 949.753 | + | 364.576i | 0.277697 | + | 0.106598i | 0.493231 | − | 0.869898i | \(-0.335816\pi\) |
−0.215534 | + | 0.976496i | \(0.569149\pi\) | |||||||
\(228\) | 1536.86 | + | 1244.53i | 0.446409 | + | 0.361495i | ||||
\(229\) | −50.1480 | + | 25.5517i | −0.0144711 | + | 0.00737338i | −0.461211 | − | 0.887290i | \(-0.652585\pi\) |
0.446740 | + | 0.894664i | \(0.352585\pi\) | |||||||
\(230\) | −1381.32 | − | 797.507i | −0.396007 | − | 0.228635i | ||||
\(231\) | 7606.18 | − | 181.397i | 2.16645 | − | 0.0516669i | ||||
\(232\) | 58.6215 | − | 218.779i | 0.0165892 | − | 0.0619117i | ||||
\(233\) | 1496.24 | − | 4604.97i | 0.420696 | − | 1.29477i | −0.486359 | − | 0.873759i | \(-0.661675\pi\) |
0.907056 | − | 0.421011i | \(-0.138325\pi\) | |||||||
\(234\) | 7956.31 | + | 12344.2i | 2.22274 | + | 3.44858i | ||||
\(235\) | −3532.74 | − | 2566.68i | −0.980640 | − | 0.712477i | ||||
\(236\) | 57.8333 | + | 1103.53i | 0.0159518 | + | 0.304379i | ||||
\(237\) | −3266.69 | − | 2941.34i | −0.895334 | − | 0.806163i | ||||
\(238\) | −11924.4 | + | 5309.07i | −3.24766 | + | 1.44595i | ||||
\(239\) | −344.566 | − | 54.5738i | −0.0932556 | − | 0.0147702i | 0.109632 | − | 0.993972i | \(-0.465033\pi\) |
−0.202888 | + | 0.979202i | \(0.565033\pi\) | |||||||
\(240\) | 5955.43 | + | 312.111i | 1.60175 | + | 0.0839444i | ||||
\(241\) | −50.0160 | − | 186.662i | −0.0133685 | − | 0.0498921i | 0.958919 | − | 0.283679i | \(-0.0915549\pi\) |
−0.972288 | + | 0.233787i | \(0.924888\pi\) | |||||||
\(242\) | 3251.87 | − | 5572.13i | 0.863795 | − | 1.48012i | ||||
\(243\) | −3292.07 | + | 5702.02i | −0.869079 | + | 1.50529i | ||||
\(244\) | −1972.25 | + | 419.215i | −0.517461 | + | 0.109990i | ||||
\(245\) | 563.414 | + | 1467.74i | 0.146919 | + | 0.382737i | ||||
\(246\) | 9313.37 | − | 12818.8i | 2.41382 | − | 3.32233i | ||||
\(247\) | −163.806 | + | 603.041i | −0.0421973 | + | 0.155347i | ||||
\(248\) | 4300.65 | − | 1397.37i | 1.10118 | − | 0.357794i | ||||
\(249\) | −3776.89 | + | 3058.46i | −0.961247 | + | 0.778403i | ||||
\(250\) | 2526.35 | − | 5674.29i | 0.639123 | − | 1.43549i | ||||
\(251\) | 4542.26 | − | 4089.87i | 1.14225 | − | 1.02849i | 0.143003 | − | 0.989722i | \(-0.454324\pi\) |
0.999248 | − | 0.0387658i | \(-0.0123426\pi\) | |||||||
\(252\) | −15429.3 | − | 15429.3i | −3.85695 | − | 3.85695i | ||||
\(253\) | 976.484 | + | 236.847i | 0.242652 | + | 0.0588555i | ||||
\(254\) | 6040.70 | − | 1618.60i | 1.49223 | − | 0.399842i | ||||
\(255\) | 6418.48 | + | 12597.0i | 1.57624 | + | 3.09354i | ||||
\(256\) | 819.590 | + | 7797.88i | 0.200095 | + | 1.90378i | ||||
\(257\) | −6585.32 | − | 692.145i | −1.59837 | − | 0.167995i | −0.736971 | − | 0.675924i | \(-0.763745\pi\) |
−0.861399 | + | 0.507929i | \(0.830411\pi\) | |||||||
\(258\) | −6305.37 | + | 330.450i | −1.52153 | + | 0.0797401i | ||||
\(259\) | −1719.68 | − | 5292.62i | −0.412570 | − | 1.26976i | ||||
\(260\) | 3081.93 | + | 8111.85i | 0.735127 | + | 1.93491i | ||||
\(261\) | 236.867 | + | 326.020i | 0.0561752 | + | 0.0773185i | ||||
\(262\) | −655.280 | + | 1009.04i | −0.154517 | + | 0.237935i | ||||
\(263\) | −2991.96 | + | 1727.41i | −0.701492 | + | 0.405006i | −0.807903 | − | 0.589316i | \(-0.799397\pi\) |
0.106411 | + | 0.994322i | \(0.466064\pi\) | |||||||
\(264\) | −12344.8 | + | 2933.24i | −2.87791 | + | 0.683819i | ||||
\(265\) | 3230.68 | − | 3230.68i | 0.748901 | − | 0.748901i | ||||
\(266\) | 73.6782 | − | 1405.86i | 0.0169831 | − | 0.324057i | ||||
\(267\) | 6667.24 | − | 8233.35i | 1.52820 | − | 1.88716i | ||||
\(268\) | −1738.28 | − | 10975.1i | −0.396203 | − | 2.50153i | ||||
\(269\) | −829.270 | − | 176.267i | −0.187961 | − | 0.0399523i | 0.112969 | − | 0.993598i | \(-0.463964\pi\) |
−0.300930 | + | 0.953646i | \(0.597297\pi\) | |||||||
\(270\) | −13963.1 | + | 15507.6i | −3.14728 | + | 3.49541i | ||||
\(271\) | 2612.57 | + | 3226.25i | 0.585616 | + | 0.723176i | 0.980711 | − | 0.195465i | \(-0.0626215\pi\) |
−0.395094 | + | 0.918641i | \(0.629288\pi\) | |||||||
\(272\) | 5214.29 | − | 3788.41i | 1.16236 | − | 0.844507i | ||||
\(273\) | 3534.36 | − | 9113.65i | 0.783551 | − | 2.02045i | ||||
\(274\) | 3895.58i | 0.858908i | ||||||||
\(275\) | 86.0139 | − | 641.753i | 0.0188612 | − | 0.140724i | ||||
\(276\) | −2042.69 | − | 3538.04i | −0.445490 | − | 0.771611i | ||||
\(277\) | −1994.63 | − | 2215.27i | −0.432657 | − | 0.480514i | 0.486907 | − | 0.873454i | \(-0.338125\pi\) |
−0.919564 | + | 0.392939i | \(0.871458\pi\) | |||||||
\(278\) | 638.494 | − | 4031.29i | 0.137749 | − | 0.869715i | ||||
\(279\) | −2883.25 | + | 7511.13i | −0.618695 | + | 1.61175i | ||||
\(280\) | −5150.26 | − | 7930.70i | −1.09924 | − | 1.69268i | ||||
\(281\) | 2023.92 | + | 1031.24i | 0.429670 | + | 0.218928i | 0.655431 | − | 0.755255i | \(-0.272487\pi\) |
−0.225761 | + | 0.974183i | \(0.572487\pi\) | |||||||
\(282\) | −6897.88 | − | 15492.9i | −1.45661 | − | 3.27159i | ||||
\(283\) | 2189.40 | + | 974.784i | 0.459881 | + | 0.204752i | 0.623582 | − | 0.781758i | \(-0.285677\pi\) |
−0.163701 | + | 0.986510i | \(0.552343\pi\) | |||||||
\(284\) | −2264.37 | − | 1470.50i | −0.473119 | − | 0.307247i | ||||
\(285\) | −1524.82 | −0.316921 | ||||||||
\(286\) | −5007.90 | − | 6604.99i | −1.03540 | − | 1.36560i | ||||
\(287\) | −7438.97 | −1.53000 | ||||||||
\(288\) | −2055.16 | − | 1334.64i | −0.420492 | − | 0.273070i | ||||
\(289\) | 9470.44 | + | 4216.51i | 1.92763 | + | 0.858236i | ||||
\(290\) | 146.849 | + | 329.829i | 0.0297355 | + | 0.0667870i | ||||
\(291\) | −7362.51 | − | 3751.38i | −1.48315 | − | 0.755705i | ||||
\(292\) | 8769.11 | + | 13503.3i | 1.75744 | + | 2.70623i | ||||
\(293\) | −2406.47 | + | 6269.06i | −0.479820 | + | 1.24997i | 0.453605 | + | 0.891203i | \(0.350138\pi\) |
−0.933425 | + | 0.358772i | \(0.883196\pi\) | |||||||
\(294\) | −955.167 | + | 6030.69i | −0.189478 | + | 1.19632i | ||||
\(295\) | −570.131 | − | 633.194i | −0.112523 | − | 0.124970i | ||||
\(296\) | 4640.39 | + | 8037.38i | 0.911206 | + | 1.57825i | ||||
\(297\) | 5687.08 | − | 11851.9i | 1.11110 | − | 2.31554i | ||||
\(298\) | 892.305i | 0.173456i | ||||||||
\(299\) | 762.375 | − | 1041.78i | 0.147456 | − | 0.201497i | ||||
\(300\) | −2129.83 | + | 1547.41i | −0.409886 | + | 0.297800i | ||||
\(301\) | 1865.53 | + | 2303.74i | 0.357234 | + | 0.441147i | ||||
\(302\) | −8207.83 | + | 9115.72i | −1.56393 | + | 1.73692i | ||||
\(303\) | −3337.09 | − | 709.321i | −0.632709 | − | 0.134486i | ||||
\(304\) | 108.744 | + | 686.580i | 0.0205160 | + | 0.129533i | ||||
\(305\) | 978.397 | − | 1208.22i | 0.183682 | − | 0.226828i | ||||
\(306\) | −2026.99 | + | 38677.2i | −0.378677 | + | 7.22558i | ||||
\(307\) | −5803.39 | + | 5803.39i | −1.07888 | + | 1.07888i | −0.0822721 | + | 0.996610i | \(0.526218\pi\) |
−0.996610 | + | 0.0822721i | \(0.973782\pi\) | |||||||
\(308\) | 9345.94 | + | 8020.02i | 1.72901 | + | 1.48371i | ||||
\(309\) | 9675.09 | − | 5585.91i | 1.78122 | − | 1.02839i | ||||
\(310\) | −3925.85 | + | 6045.28i | −0.719269 | + | 1.10758i | ||||
\(311\) | −1477.75 | − | 2033.94i | −0.269438 | − | 0.370850i | 0.652762 | − | 0.757563i | \(-0.273610\pi\) |
−0.922200 | + | 0.386714i | \(0.873610\pi\) | |||||||
\(312\) | −2605.44 | + | 16092.2i | −0.472770 | + | 2.92001i | ||||
\(313\) | −801.797 | − | 2467.68i | −0.144793 | − | 0.445627i | 0.852191 | − | 0.523230i | \(-0.175273\pi\) |
−0.996984 | + | 0.0776031i | \(0.975273\pi\) | |||||||
\(314\) | 3275.57 | − | 171.666i | 0.588699 | − | 0.0308524i | ||||
\(315\) | 16732.5 | + | 1758.65i | 2.99291 | + | 0.314568i | ||||
\(316\) | −743.746 | − | 7076.27i | −0.132402 | − | 1.25972i | ||||
\(317\) | −1868.73 | − | 3667.58i | −0.331098 | − | 0.649817i | 0.664106 | − | 0.747639i | \(-0.268813\pi\) |
−0.995204 | + | 0.0978217i | \(0.968813\pi\) | |||||||
\(318\) | 17139.6 | − | 4592.54i | 3.02246 | − | 0.809865i | ||||
\(319\) | −147.308 | − | 173.294i | −0.0258548 | − | 0.0304156i | ||||
\(320\) | −5076.46 | − | 5076.46i | −0.886822 | − | 0.886822i | ||||
\(321\) | 11165.3 | − | 10053.3i | 1.94139 | − | 1.74804i | ||||
\(322\) | −1182.91 | + | 2656.85i | −0.204723 | + | 0.459816i | ||||
\(323\) | −1280.71 | + | 1037.10i | −0.220621 | + | 0.178655i | ||||
\(324\) | −25112.8 | + | 8159.63i | −4.30603 | + | 1.39911i | ||||
\(325\) | −718.995 | − | 418.411i | −0.122716 | − | 0.0714132i | ||||
\(326\) | 5023.52 | − | 6914.28i | 0.853457 | − | 1.17468i | ||||
\(327\) | 4900.97 | + | 12767.5i | 0.828820 | + | 2.15915i | ||||
\(328\) | 12134.9 | − | 2579.36i | 2.04280 | − | 0.434211i | ||||
\(329\) | −3981.04 | + | 6895.37i | −0.667119 | + | 1.15548i | ||||
\(330\) | 12350.2 | − | 16017.5i | 2.06017 | − | 2.67191i | ||||
\(331\) | 1374.67 | + | 5130.33i | 0.228274 | + | 0.851929i | 0.981066 | + | 0.193671i | \(0.0620396\pi\) |
−0.752793 | + | 0.658258i | \(0.771294\pi\) | |||||||
\(332\) | −7855.83 | − | 411.706i | −1.29863 | − | 0.0680582i | ||||
\(333\) | −16309.1 | − | 2583.11i | −2.68388 | − | 0.425085i | ||||
\(334\) | 5996.34 | − | 2669.74i | 0.982350 | − | 0.437371i | ||||
\(335\) | 6367.17 | + | 5733.03i | 1.03844 | + | 0.935011i | ||||
\(336\) | −569.091 | − | 10858.9i | −0.0924002 | − | 1.76310i | ||||
\(337\) | 6984.01 | + | 5074.18i | 1.12891 | + | 0.820202i | 0.985536 | − | 0.169467i | \(-0.0542045\pi\) |
0.143375 | + | 0.989668i | \(0.454204\pi\) | |||||||
\(338\) | −10305.1 | + | 2685.52i | −1.65835 | + | 0.432168i | ||||
\(339\) | −440.701 | + | 1356.34i | −0.0706064 | + | 0.217304i | ||||
\(340\) | −5922.94 | + | 22104.7i | −0.944754 | + | 3.52587i | ||||
\(341\) | 1299.84 | − | 4350.86i | 0.206424 | − | 0.690944i | ||||
\(342\) | −3617.55 | − | 2088.59i | −0.571973 | − | 0.330229i | ||||
\(343\) | −4103.65 | + | 2090.91i | −0.645995 | + | 0.329151i | ||||
\(344\) | −3841.96 | − | 3111.16i | −0.602164 | − | 0.487623i | ||||
\(345\) | 2940.82 | + | 1128.88i | 0.458924 | + | 0.176164i | ||||
\(346\) | 8160.80 | − | 16016.5i | 1.26800 | − | 2.48859i | ||||
\(347\) | −1337.19 | + | 6291.00i | −0.206871 | + | 0.973253i | 0.745073 | + | 0.666983i | \(0.232414\pi\) |
−0.951945 | + | 0.306270i | \(0.900919\pi\) | |||||||
\(348\) | −96.6630 | + | 919.687i | −0.0148899 | + | 0.141668i | ||||
\(349\) | −7474.88 | + | 2869.34i | −1.14648 | + | 0.440092i | −0.856095 | − | 0.516818i | \(-0.827116\pi\) |
−0.290384 | + | 0.956910i | \(0.593783\pi\) | |||||||
\(350\) | 1782.38 | + | 579.129i | 0.272206 | + | 0.0884451i | ||||
\(351\) | −11258.0 | − | 12589.9i | −1.71198 | − | 1.91453i | ||||
\(352\) | 1213.91 | + | 662.776i | 0.183812 | + | 0.100358i | ||||
\(353\) | −12286.1 | − | 3292.06i | −1.85248 | − | 0.496370i | −0.852812 | − | 0.522218i | \(-0.825105\pi\) |
−0.999666 | + | 0.0258479i | \(0.991771\pi\) | |||||||
\(354\) | −688.004 | − | 3236.81i | −0.103297 | − | 0.485973i | ||||
\(355\) | 2070.41 | − | 217.609i | 0.309538 | − | 0.0325338i | ||||
\(356\) | 16937.5 | − | 2682.64i | 2.52159 | − | 0.399381i | ||||
\(357\) | 21619.7 | − | 14040.0i | 3.20514 | − | 2.08144i | ||||
\(358\) | 12082.4 | − | 7846.41i | 1.78373 | − | 1.15837i | ||||
\(359\) | 12624.7 | − | 1999.55i | 1.85600 | − | 0.293962i | 0.874445 | − | 0.485125i | \(-0.161226\pi\) |
0.981558 | + | 0.191163i | \(0.0612258\pi\) | |||||||
\(360\) | −27904.8 | + | 2932.92i | −4.08532 | + | 0.429384i | ||||
\(361\) | 1389.11 | + | 6535.26i | 0.202524 | + | 0.952801i | ||||
\(362\) | −3924.16 | − | 1051.48i | −0.569750 | − | 0.152664i | ||||
\(363\) | −4621.67 | + | 11873.8i | −0.668250 | + | 1.71684i | ||||
\(364\) | 14122.4 | − | 7134.76i | 2.03356 | − | 1.02737i | ||||
\(365\) | −11807.0 | − | 3836.32i | −1.69317 | − | 0.550143i | ||||
\(366\) | 5636.95 | − | 2163.82i | 0.805049 | − | 0.309029i | ||||
\(367\) | 203.063 | − | 1932.01i | 0.0288823 | − | 0.274796i | −0.970544 | − | 0.240924i | \(-0.922549\pi\) |
0.999426 | − | 0.0338721i | \(-0.0107839\pi\) | |||||||
\(368\) | 298.572 | − | 1404.67i | 0.0422938 | − | 0.198977i | ||||
\(369\) | −10020.9 | + | 19667.0i | −1.41373 | + | 2.77459i | ||||
\(370\) | −13811.3 | − | 5301.65i | −1.94058 | − | 0.744918i | ||||
\(371\) | −6474.17 | − | 5242.68i | −0.905990 | − | 0.733656i | ||||
\(372\) | −16450.3 | + | 8381.84i | −2.29276 | + | 1.16822i | ||||
\(373\) | −3701.86 | − | 2137.27i | −0.513875 | − | 0.296686i | 0.220550 | − | 0.975376i | \(-0.429215\pi\) |
−0.734425 | + | 0.678690i | \(0.762548\pi\) | |||||||
\(374\) | −521.166 | − | 21853.1i | −0.0720558 | − | 3.02138i | ||||
\(375\) | −3174.90 | + | 11848.9i | −0.437203 | + | 1.63166i | ||||
\(376\) | 4103.26 | − | 12628.5i | 0.562791 | − | 1.73209i | ||||
\(377\) | −278.219 | + | 89.3436i | −0.0380080 | + | 0.0122054i | ||||
\(378\) | 30782.3 | + | 22364.7i | 4.18855 | + | 3.04316i | ||||
\(379\) | −462.253 | − | 8820.31i | −0.0626499 | − | 1.19543i | −0.831323 | − | 0.555790i | \(-0.812416\pi\) |
0.768673 | − | 0.639642i | \(-0.220917\pi\) | |||||||
\(380\) | −1834.21 | − | 1651.53i | −0.247612 | − | 0.222951i | ||||
\(381\) | −11283.0 | + | 5023.54i | −1.51719 | + | 0.675495i | ||||
\(382\) | 15602.6 | + | 2471.20i | 2.08978 | + | 0.330989i | ||||
\(383\) | −12634.8 | − | 662.161i | −1.68566 | − | 0.0883416i | −0.814758 | − | 0.579801i | \(-0.803130\pi\) |
−0.870901 | + | 0.491459i | \(0.836464\pi\) | |||||||
\(384\) | −6464.99 | − | 24127.7i | −0.859154 | − | 3.20641i | ||||
\(385\) | −9491.94 | − | 270.743i | −1.25650 | − | 0.0358399i | ||||
\(386\) | −3209.14 | + | 5558.39i | −0.423163 | + | 0.732939i | ||||
\(387\) | 8603.60 | − | 1828.75i | 1.13009 | − | 0.240209i | ||||
\(388\) | −4793.25 | − | 12486.8i | −0.627166 | − | 1.63382i | ||||
\(389\) | −6254.91 | + | 8609.14i | −0.815261 | + | 1.12211i | 0.175229 | + | 0.984528i | \(0.443933\pi\) |
−0.990490 | + | 0.137583i | \(0.956067\pi\) | |||||||
\(390\) | −12915.4 | − | 22548.7i | −1.67692 | − | 2.92769i | ||||
\(391\) | 3237.82 | − | 1052.03i | 0.418782 | − | 0.136070i | ||||
\(392\) | −3715.30 | + | 3008.59i | −0.478701 | + | 0.387644i | ||||
\(393\) | 966.461 | − | 2170.71i | 0.124050 | − | 0.278620i | ||||
\(394\) | 8253.22 | − | 7431.23i | 1.05531 | − | 0.950203i | ||||
\(395\) | 3879.37 | + | 3879.37i | 0.494157 | + | 0.494157i | ||||
\(396\) | 33792.9 | − | 13905.1i | 4.28827 | − | 1.76454i | ||||
\(397\) | 6669.54 | − | 1787.10i | 0.843161 | − | 0.225924i | 0.188714 | − | 0.982032i | \(-0.439568\pi\) |
0.654447 | + | 0.756108i | \(0.272902\pi\) | |||||||
\(398\) | −803.834 | − | 1577.61i | −0.101238 | − | 0.198690i | ||||
\(399\) | 290.621 | + | 2765.07i | 0.0364642 | + | 0.346934i | ||||
\(400\) | −920.322 | − | 96.7298i | −0.115040 | − | 0.0120912i | ||||
\(401\) | −5883.47 | + | 308.339i | −0.732684 | + | 0.0383983i | −0.415029 | − | 0.909808i | \(-0.636229\pi\) |
−0.317655 | + | 0.948206i | \(0.602895\pi\) | |||||||
\(402\) | 10282.6 | + | 31646.7i | 1.27575 | + | 3.92635i | ||||
\(403\) | −4521.22 | − | 3687.00i | −0.558854 | − | 0.455738i | ||||
\(404\) | −3245.92 | − | 4467.63i | −0.399729 | − | 0.550180i | ||||
\(405\) | 11088.7 | − | 17075.2i | 1.36050 | − | 2.09499i | ||||
\(406\) | 570.115 | − | 329.156i | 0.0696905 | − | 0.0402358i | ||||
\(407\) | 9289.11 | + | 752.905i | 1.13131 | + | 0.0916956i | ||||
\(408\) | −30399.2 | + | 30399.2i | −3.68869 | + | 3.68869i | ||||
\(409\) | 530.039 | − | 10113.8i | 0.0640801 | − | 1.22272i | −0.757580 | − | 0.652743i | \(-0.773618\pi\) |
0.821660 | − | 0.569978i | \(-0.193048\pi\) | |||||||
\(410\) | −12445.2 | + | 15368.5i | −1.49908 | + | 1.85121i | ||||
\(411\) | −1203.53 | − | 7598.81i | −0.144443 | − | 0.911975i | ||||
\(412\) | 17688.2 | + | 3759.75i | 2.11514 | + | 0.449586i | ||||
\(413\) | −1039.56 | + | 1154.54i | −0.123858 | + | 0.137558i | ||||
\(414\) | 5430.68 | + | 6706.34i | 0.644695 | + | 0.796131i | ||||
\(415\) | 4907.17 | − | 3565.27i | 0.580442 | − | 0.421716i | ||||
\(416\) | 1384.75 | − | 1113.50i | 0.163205 | − | 0.131235i | ||||
\(417\) | 8060.78i | 0.946614i | ||||||||
\(418\) | 2125.56 | + | 1019.94i | 0.248719 | + | 0.119347i | ||||
\(419\) | −544.780 | − | 943.587i | −0.0635185 | − | 0.110017i | 0.832517 | − | 0.553999i | \(-0.186899\pi\) |
−0.896036 | + | 0.443982i | \(0.853566\pi\) | |||||||
\(420\) | 25834.2 | + | 28691.8i | 3.00139 | + | 3.33338i | ||||
\(421\) | −814.371 | + | 5141.73i | −0.0942755 | + | 0.595232i | 0.894644 | + | 0.446780i | \(0.147429\pi\) |
−0.988920 | + | 0.148453i | \(0.952571\pi\) | |||||||
\(422\) | 596.837 | − | 1554.81i | 0.0688474 | − | 0.179354i | ||||
\(423\) | 12867.1 | + | 19813.6i | 1.47901 | + | 2.27747i | ||||
\(424\) | 12378.9 | + | 6307.36i | 1.41786 | + | 0.722435i | ||||
\(425\) | −892.310 | − | 2004.16i | −0.101843 | − | 0.228744i | ||||
\(426\) | 7386.20 | + | 3288.55i | 0.840053 | + | 0.374016i | ||||
\(427\) | −2377.43 | − | 1543.92i | −0.269443 | − | 0.174978i | ||||
\(428\) | 24319.4 | 2.74655 | ||||||||
\(429\) | 11809.1 | + | 11336.7i | 1.32902 | + | 1.27585i | ||||
\(430\) | 7880.39 | 0.883782 | ||||||||
\(431\) | 2218.19 | + | 1440.51i | 0.247904 | + | 0.160991i | 0.662610 | − | 0.748965i | \(-0.269449\pi\) |
−0.414706 | + | 0.909955i | \(0.636116\pi\) | |||||||
\(432\) | −17163.5 | − | 7641.69i | −1.91153 | − | 0.851068i | ||||
\(433\) | −1307.89 | − | 2937.58i | −0.145158 | − | 0.326030i | 0.826305 | − | 0.563224i | \(-0.190439\pi\) |
−0.971462 | + | 0.237194i | \(0.923772\pi\) | |||||||
\(434\) | 11710.6 | + | 5966.85i | 1.29522 | + | 0.659950i | ||||
\(435\) | −388.347 | − | 598.002i | −0.0428042 | − | 0.0659127i | ||||
\(436\) | −7933.01 | + | 20666.2i | −0.871381 | + | 2.27003i | ||||
\(437\) | −57.4398 | + | 362.660i | −0.00628768 | + | 0.0396988i | ||||
\(438\) | −32262.1 | − | 35830.7i | −3.51950 | − | 3.90880i | ||||
\(439\) | −7260.06 | − | 12574.8i | −0.789302 | − | 1.36711i | −0.926395 | − | 0.376553i | \(-0.877109\pi\) |
0.137093 | − | 0.990558i | \(-0.456224\pi\) | |||||||
\(440\) | 15577.7 | − | 2849.54i | 1.68782 | − | 0.308742i | ||||
\(441\) | − | 8505.83i | − | 0.918457i | ||||||
\(442\) | −26184.2 | − | 10154.5i | −2.81777 | − | 1.09276i | ||||
\(443\) | −10870.2 | + | 7897.65i | −1.16582 | + | 0.847017i | −0.990503 | − | 0.137495i | \(-0.956095\pi\) |
−0.175317 | + | 0.984512i | \(0.556095\pi\) | |||||||
\(444\) | −23846.3 | − | 29447.7i | −2.54886 | − | 3.14758i | ||||
\(445\) | −8847.62 | + | 9826.28i | −0.942511 | + | 1.04676i | ||||
\(446\) | −128.902 | − | 27.3990i | −0.0136854 | − | 0.00290892i | ||||
\(447\) | −275.676 | − | 1740.55i | −0.0291701 | − | 0.184172i | ||||
\(448\) | −8237.99 | + | 10173.1i | −0.868769 | + | 1.07284i | ||||
\(449\) | 379.275 | − | 7237.01i | 0.0398644 | − | 0.760658i | −0.903437 | − | 0.428721i | \(-0.858964\pi\) |
0.943301 | − | 0.331937i | \(-0.107702\pi\) | |||||||
\(450\) | 3932.09 | − | 3932.09i | 0.411912 | − | 0.411912i | ||||
\(451\) | 4794.29 | − | 11498.4i | 0.500564 | − | 1.20053i | ||||
\(452\) | −1999.16 | + | 1154.22i | −0.208037 | + | 0.120110i | ||||
\(453\) | 13194.1 | − | 20317.1i | 1.36846 | − | 2.10724i | ||||
\(454\) | −2898.46 | − | 3989.39i | −0.299629 | − | 0.412404i | ||||
\(455\) | −5000.41 | + | 11128.1i | −0.515215 | + | 1.14658i | ||||
\(456\) | −1432.83 | − | 4409.78i | −0.147145 | − | 0.452866i | ||||
\(457\) | 12655.9 | − | 663.269i | 1.29545 | − | 0.0678915i | 0.607889 | − | 0.794022i | \(-0.292016\pi\) |
0.687557 | + | 0.726130i | \(0.258683\pi\) | |||||||
\(458\) | 271.317 | + | 28.5166i | 0.0276809 | + | 0.00290937i | ||||
\(459\) | −4655.73 | − | 44296.3i | −0.473444 | − | 4.50452i | ||||
\(460\) | 2314.83 | + | 4543.12i | 0.234630 | + | 0.460487i | ||||
\(461\) | −1538.36 | + | 412.203i | −0.155420 | + | 0.0416447i | −0.335690 | − | 0.941972i | \(-0.608970\pi\) |
0.180270 | + | 0.983617i | \(0.442303\pi\) | |||||||
\(462\) | −31399.5 | − | 19342.7i | −3.16199 | − | 1.94784i | ||||
\(463\) | 9330.73 | + | 9330.73i | 0.936578 | + | 0.936578i | 0.998105 | − | 0.0615272i | \(-0.0195971\pi\) |
−0.0615272 | + | 0.998105i | \(0.519597\pi\) | |||||||
\(464\) | −241.567 | + | 217.508i | −0.0241691 | + | 0.0217620i | ||||
\(465\) | 5790.17 | − | 13004.9i | 0.577447 | − | 1.29697i | ||||
\(466\) | −18239.5 | + | 14770.1i | −1.81315 | + | 1.46826i | ||||
\(467\) | 11207.0 | − | 3641.37i | 1.11049 | − | 0.360819i | 0.304358 | − | 0.952558i | \(-0.401558\pi\) |
0.806130 | + | 0.591738i | \(0.201558\pi\) | |||||||
\(468\) | 161.235 | − | 46947.7i | 0.0159254 | − | 4.63709i | ||||
\(469\) | 9182.59 | − | 12638.7i | 0.904078 | − | 1.24436i | ||||
\(470\) | 7585.31 | + | 19760.4i | 0.744434 | + | 1.93932i | ||||
\(471\) | −6336.37 | + | 1346.84i | −0.619882 | + | 0.131760i | ||||
\(472\) | 1295.47 | − | 2243.81i | 0.126332 | − | 0.218813i | ||||
\(473\) | −4763.19 | + | 1398.83i | −0.463027 | + | 0.135979i | ||||
\(474\) | 5514.68 | + | 20581.1i | 0.534384 | + | 1.99435i | ||||
\(475\) | 236.287 | + | 12.3833i | 0.0228244 | + | 0.00119618i | ||||
\(476\) | 41213.0 | + | 6527.50i | 3.96848 | + | 0.628545i | ||||
\(477\) | −22581.7 | + | 10054.0i | −2.16760 | + | 0.965078i | ||||
\(478\) | 1256.65 | + | 1131.50i | 0.120247 | + | 0.108271i | ||||
\(479\) | −755.524 | − | 14416.3i | −0.0720685 | − | 1.37515i | −0.760260 | − | 0.649619i | \(-0.774928\pi\) |
0.688191 | − | 0.725529i | \(-0.258405\pi\) | |||||||
\(480\) | 3507.82 | + | 2548.58i | 0.333561 | + | 0.242346i | ||||
\(481\) | 5472.47 | − | 10649.8i | 0.518759 | − | 1.00954i | ||||
\(482\) | −289.458 | + | 890.860i | −0.0273536 | + | 0.0841858i | ||||
\(483\) | 1486.58 | − | 5547.97i | 0.140045 | − | 0.522653i | ||||
\(484\) | −18419.8 | + | 9277.24i | −1.72989 | + | 0.871266i | ||||
\(485\) | 8931.35 | + | 5156.52i | 0.836189 | + | 0.482774i | ||||
\(486\) | 28436.1 | − | 14488.9i | 2.65409 | − | 1.35232i | ||||
\(487\) | 727.160 | + | 588.843i | 0.0676607 | + | 0.0547906i | 0.662554 | − | 0.749014i | \(-0.269472\pi\) |
−0.594893 | + | 0.803805i | \(0.702806\pi\) | |||||||
\(488\) | 4413.55 | + | 1694.20i | 0.409410 | + | 0.157158i | ||||
\(489\) | −7662.83 | + | 15039.1i | −0.708640 | + | 1.39078i | ||||
\(490\) | 1584.41 | − | 7454.06i | 0.146074 | − | 0.687225i | ||||
\(491\) | 82.5281 | − | 785.202i | 0.00758542 | − | 0.0721704i | −0.990074 | − | 0.140545i | \(-0.955115\pi\) |
0.997660 | + | 0.0683744i | \(0.0217813\pi\) | |||||||
\(492\) | −47287.8 | + | 18152.1i | −4.33313 | + | 1.66333i | ||||
\(493\) | −732.904 | − | 238.135i | −0.0669541 | − | 0.0217547i | ||||
\(494\) | 2257.92 | − | 2019.04i | 0.205645 | − | 0.183888i | ||||
\(495\) | −13502.2 | + | 24729.9i | −1.22601 | + | 2.24551i | ||||
\(496\) | −6268.66 | − | 1679.68i | −0.567482 | − | 0.152056i | ||||
\(497\) | −789.213 | − | 3712.96i | −0.0712295 | − | 0.335108i | ||||
\(498\) | 23428.1 | − | 2462.39i | 2.10810 | − | 0.221571i | ||||
\(499\) | 15100.2 | − | 2391.64i | 1.35466 | − | 0.214558i | 0.563477 | − | 0.826131i | \(-0.309463\pi\) |
0.791187 | + | 0.611574i | \(0.209463\pi\) | |||||||
\(500\) | −16652.6 | + | 10814.3i | −1.48945 | + | 0.967261i | ||||
\(501\) | −10871.8 | + | 7060.21i | −0.969491 | + | 0.629595i | ||||
\(502\) | −29262.3 | + | 4634.70i | −2.60168 | + | 0.412065i | ||||
\(503\) | 11919.5 | − | 1252.79i | 1.05659 | − | 0.111052i | 0.439735 | − | 0.898127i | \(-0.355072\pi\) |
0.616857 | + | 0.787075i | \(0.288406\pi\) | |||||||
\(504\) | 10637.0 | + | 50042.9i | 0.940094 | + | 4.42280i | ||||
\(505\) | 4112.91 | + | 1102.05i | 0.362420 | + | 0.0971101i | ||||
\(506\) | −3344.33 | − | 3540.72i | −0.293822 | − | 0.311075i | ||||
\(507\) | 19271.7 | − | 8422.17i | 1.68814 | − | 0.737755i | ||||
\(508\) | −19013.3 | − | 6177.81i | −1.66059 | − | 0.539559i | ||||
\(509\) | 9673.53 | − | 3713.32i | 0.842381 | − | 0.323360i | 0.101367 | − | 0.994849i | \(-0.467679\pi\) |
0.741014 | + | 0.671490i | \(0.234345\pi\) | |||||||
\(510\) | 7163.25 | − | 68153.7i | 0.621949 | − | 5.91745i | ||||
\(511\) | −4706.36 | + | 22141.7i | −0.407430 | + | 1.91681i | ||||
\(512\) | 7777.48 | − | 15264.2i | 0.671327 | − | 1.31755i | ||||
\(513\) | 4484.75 | + | 1721.53i | 0.385978 | + | 0.148163i | ||||
\(514\) | 24943.4 | + | 20198.8i | 2.14048 | + | 1.73333i | ||||
\(515\) | −12423.6 | + | 6330.13i | −1.06301 | + | 0.541629i | ||||
\(516\) | 17480.2 | + | 10092.2i | 1.49132 | + | 0.861015i | ||||
\(517\) | −8092.45 | − | 10597.4i | −0.688405 | − | 0.901499i | ||||
\(518\) | −6981.54 | + | 26055.5i | −0.592184 | + | 2.21006i | ||||
\(519\) | −10970.4 | + | 33763.3i | −0.927834 | + | 2.85558i | ||||
\(520\) | 4298.47 | − | 19886.7i | 0.362501 | − | 1.67709i | ||||
\(521\) | 1883.60 | + | 1368.52i | 0.158392 | + | 0.115078i | 0.664158 | − | 0.747592i | \(-0.268790\pi\) |
−0.505766 | + | 0.862671i | \(0.668790\pi\) | |||||||
\(522\) | −102.230 | − | 1950.66i | −0.00857179 | − | 0.163559i | ||||
\(523\) | 16978.1 | + | 15287.1i | 1.41950 | + | 1.27813i | 0.908081 | + | 0.418795i | \(0.137547\pi\) |
0.511421 | + | 0.859330i | \(0.329119\pi\) | |||||||
\(524\) | 3513.64 | − | 1564.37i | 0.292927 | − | 0.130420i | ||||
\(525\) | −3655.66 | − | 579.000i | −0.303898 | − | 0.0481326i | ||||
\(526\) | 16723.2 | + | 876.427i | 1.38625 | + | 0.0726503i | ||||
\(527\) | −3982.02 | − | 14861.1i | −0.329146 | − | 1.22839i | ||||
\(528\) | 17151.4 | + | 6118.74i | 1.41367 | + | 0.504326i | ||||
\(529\) | −5704.23 | + | 9880.02i | −0.468828 | + | 0.812034i | ||||
\(530\) | −21662.2 | + | 4604.45i | −1.77537 | + | 0.377367i | ||||
\(531\) | 1652.00 | + | 4303.62i | 0.135011 | + | 0.351716i | ||||
\(532\) | −2645.25 | + | 3640.87i | −0.215575 | + | 0.296714i | ||||
\(533\) | −11278.7 | − | 11356.4i | −0.916574 | − | 0.922891i | ||||
\(534\) | −48839.4 | + | 15868.9i | −3.95784 | + | 1.28598i | ||||
\(535\) | −14572.8 | + | 11800.8i | −1.17764 | + | 0.953631i | ||||
\(536\) | −10596.9 | + | 23801.0i | −0.853949 | + | 1.91800i | ||||
\(537\) | −21144.1 | + | 19038.2i | −1.69913 | + | 1.52991i | ||||
\(538\) | 2905.81 | + | 2905.81i | 0.232859 | + | 0.232859i | ||||
\(539\) | 365.477 | + | 4786.75i | 0.0292063 | + | 0.382523i | ||||
\(540\) | 64435.2 | − | 17265.4i | 5.13491 | − | 1.37589i | ||||
\(541\) | −9533.44 | − | 18710.4i | −0.757624 | − | 1.48692i | −0.869892 | − | 0.493243i | \(-0.835811\pi\) |
0.112267 | − | 0.993678i | \(-0.464189\pi\) | |||||||
\(542\) | −2103.39 | − | 20012.4i | −0.166694 | − | 1.58599i | ||||
\(543\) | 7979.41 | + | 838.670i | 0.630625 | + | 0.0662813i | ||||
\(544\) | 4679.65 | − | 245.250i | 0.368820 | − | 0.0193291i | ||||
\(545\) | −5274.44 | − | 16233.1i | −0.414555 | − | 1.27587i | ||||
\(546\) | −38427.6 | + | 27718.2i | −3.01200 | + | 2.17258i | ||||
\(547\) | 1793.95 | + | 2469.16i | 0.140226 | + | 0.193005i | 0.873354 | − | 0.487086i | \(-0.161940\pi\) |
−0.733128 | + | 0.680091i | \(0.761940\pi\) | |||||||
\(548\) | 6782.51 | − | 10444.1i | 0.528712 | − | 0.814146i | ||||
\(549\) | −7284.38 | + | 4205.64i | −0.566284 | + | 0.326944i | ||||
\(550\) | −2043.87 | + | 2381.78i | −0.158456 | + | 0.184653i | ||||
\(551\) | 58.7705 | − | 58.7705i | 0.00454393 | − | 0.00454393i | ||||
\(552\) | −501.314 | + | 9565.64i | −0.0386546 | + | 0.737574i | ||||
\(553\) | 6295.37 | − | 7774.13i | 0.484098 | − | 0.597811i | ||||
\(554\) | 2260.35 | + | 14271.3i | 0.173345 | + | 1.09445i | ||||
\(555\) | 28578.5 | + | 6074.54i | 2.18575 | + | 0.464595i | ||||
\(556\) | −8730.60 | + | 9696.31i | −0.665935 | + | 0.739595i | ||||
\(557\) | 2661.65 | + | 3286.86i | 0.202473 | + | 0.250034i | 0.868261 | − | 0.496107i | \(-0.165238\pi\) |
−0.665788 | + | 0.746141i | \(0.731904\pi\) | |||||||
\(558\) | 31550.1 | − | 22922.5i | 2.39359 | − | 1.73905i | ||||
\(559\) | −688.468 | + | 6340.78i | −0.0520914 | + | 0.479761i | ||||
\(560\) | 13571.4i | 1.02410i | ||||||||
\(561\) | 7768.07 | + | 42466.1i | 0.584613 | + | 3.19594i | ||||
\(562\) | −5505.20 | − | 9535.29i | −0.413208 | − | 0.715698i | ||||
\(563\) | −9919.98 | − | 11017.3i | −0.742589 | − | 0.824728i | 0.246945 | − | 0.969029i | \(-0.420573\pi\) |
−0.989534 | + | 0.144301i | \(0.953907\pi\) | |||||||
\(564\) | −8480.93 | + | 53546.5i | −0.633177 | + | 3.99772i | ||||
\(565\) | 637.870 | − | 1661.71i | 0.0474963 | − | 0.123732i | ||||
\(566\) | −6326.95 | − | 9742.64i | −0.469861 | − | 0.723523i | ||||
\(567\) | −33077.1 | − | 16853.6i | −2.44993 | − | 1.24830i | ||||
\(568\) | 2574.83 | + | 5783.16i | 0.190207 | + | 0.427211i | ||||
\(569\) | −5838.31 | − | 2599.38i | −0.430149 | − | 0.191515i | 0.180229 | − | 0.983625i | \(-0.442316\pi\) |
−0.610379 | + | 0.792110i | \(0.708983\pi\) | |||||||
\(570\) | 6198.69 | + | 4025.48i | 0.455499 | + | 0.295805i | ||||
\(571\) | 2484.00 | 0.182053 | 0.0910265 | − | 0.995848i | \(-0.470985\pi\) | ||||
0.0910265 | + | 0.995848i | \(0.470985\pi\) | |||||||
\(572\) | 1926.50 | + | 26427.3i | 0.140824 | + | 1.93178i | ||||
\(573\) | −31198.2 | −2.27456 | ||||||||
\(574\) | 30240.9 | + | 19638.7i | 2.19901 | + | 1.42805i | ||||
\(575\) | −446.544 | − | 198.814i | −0.0323864 | − | 0.0144194i | ||||
\(576\) | 15798.2 | + | 35483.4i | 1.14281 | + | 2.56679i | ||||
\(577\) | −6274.56 | − | 3197.05i | −0.452709 | − | 0.230667i | 0.212742 | − | 0.977108i | \(-0.431761\pi\) |
−0.665451 | + | 0.746442i | \(0.731761\pi\) | |||||||
\(578\) | −27367.7 | − | 42142.6i | −1.96946 | − | 3.03270i | ||||
\(579\) | 4542.56 | − | 11833.8i | 0.326049 | − | 0.849386i | ||||
\(580\) | 180.551 | − | 1139.95i | 0.0129258 | − | 0.0816104i | ||||
\(581\) | −7400.44 | − | 8219.02i | −0.528437 | − | 0.586889i | ||||
\(582\) | 20026.5 | + | 34686.9i | 1.42633 | + | 2.47048i | ||||
\(583\) | 12276.1 | − | 6628.30i | 0.872082 | − | 0.470868i | ||||
\(584\) | − | 37750.7i | − | 2.67489i | ||||||
\(585\) | 22684.3 | + | 28210.4i | 1.60322 | + | 1.99377i | ||||
\(586\) | 26332.9 | − | 19132.0i | 1.85632 | − | 1.34869i | ||||
\(587\) | −4873.16 | − | 6017.85i | −0.342652 | − | 0.423140i | 0.576467 | − | 0.817121i | \(-0.304431\pi\) |
−0.919119 | + | 0.393980i | \(0.871098\pi\) | |||||||
\(588\) | 13060.7 | − | 14505.4i | 0.916011 | − | 1.01733i | ||||
\(589\) | 1623.10 | + | 345.001i | 0.113546 | + | 0.0241350i | ||||
\(590\) | 646.080 | + | 4079.19i | 0.0450825 | + | 0.284640i | ||||
\(591\) | −13803.0 | + | 17045.3i | −0.960712 | + | 1.18638i | ||||
\(592\) | 697.088 | − | 13301.2i | 0.0483955 | − | 0.923441i | ||||
\(593\) | −3676.77 | + | 3676.77i | −0.254615 | + | 0.254615i | −0.822860 | − | 0.568244i | \(-0.807623\pi\) |
0.568244 | + | 0.822860i | \(0.307623\pi\) | |||||||
\(594\) | −54407.8 | + | 33166.6i | −3.75821 | + | 2.29098i | ||||
\(595\) | −27863.2 | + | 16086.8i | −1.91980 | + | 1.10840i | ||||
\(596\) | 1553.57 | − | 2392.29i | 0.106773 | − | 0.164416i | ||||
\(597\) | 2055.37 | + | 2828.98i | 0.140906 | + | 0.193940i | ||||
\(598\) | −5849.46 | + | 2222.38i | −0.400004 | + | 0.151973i | ||||
\(599\) | 5944.28 | + | 18294.6i | 0.405470 | + | 1.24791i | 0.920502 | + | 0.390737i | \(0.127780\pi\) |
−0.515032 | + | 0.857171i | \(0.672220\pi\) | |||||||
\(600\) | 6164.10 | − | 323.047i | 0.419414 | − | 0.0219806i | ||||
\(601\) | 3494.99 | + | 367.338i | 0.237211 | + | 0.0249318i | 0.222388 | − | 0.974958i | \(-0.428615\pi\) |
0.0148229 | + | 0.999890i | \(0.495282\pi\) | |||||||
\(602\) | −1501.95 | − | 14290.1i | −0.101686 | − | 0.967477i | ||||
\(603\) | −21044.5 | − | 41302.1i | −1.42122 | − | 2.78931i | ||||
\(604\) | 37876.5 | − | 10149.0i | 2.55161 | − | 0.683703i | ||||
\(605\) | 6535.89 | − | 14497.2i | 0.439209 | − | 0.974206i | ||||
\(606\) | 11693.3 | + | 11693.3i | 0.783845 | + | 0.783845i | ||||
\(607\) | −5070.61 | + | 4565.60i | −0.339061 | + | 0.305292i | −0.821017 | − | 0.570904i | \(-0.806593\pi\) |
0.481956 | + | 0.876195i | \(0.339926\pi\) | |||||||
\(608\) | −205.568 | + | 461.713i | −0.0137120 | + | 0.0307976i | ||||
\(609\) | −1010.39 | + | 818.195i | −0.0672297 | + | 0.0544416i | ||||
\(610\) | −7167.04 | + | 2328.71i | −0.475713 | + | 0.154569i | ||||
\(611\) | −16562.5 | + | 4376.99i | −1.09664 | + | 0.289810i | ||||
\(612\) | 72774.3 | − | 100165.i | 4.80674 | − | 6.61591i | ||||
\(613\) | 2899.59 | + | 7553.69i | 0.191050 | + | 0.497701i | 0.995328 | − | 0.0965516i | \(-0.0307813\pi\) |
−0.804278 | + | 0.594253i | \(0.797448\pi\) | |||||||
\(614\) | 38912.7 | − | 8271.14i | 2.55763 | − | 0.543642i | ||||
\(615\) | 19527.8 | − | 33823.1i | 1.28038 | − | 2.21769i | ||||
\(616\) | −8136.29 | − | 27705.1i | −0.532176 | − | 1.81213i | ||||
\(617\) | −2075.65 | − | 7746.44i | −0.135434 | − | 0.505445i | −0.999996 | − | 0.00291937i | \(-0.999071\pi\) |
0.864562 | − | 0.502526i | \(-0.167596\pi\) | |||||||
\(618\) | −54077.8 | − | 2834.10i | −3.51995 | − | 0.184473i | ||||
\(619\) | −19850.0 | − | 3143.92i | −1.28891 | − | 0.204144i | −0.525911 | − | 0.850540i | \(-0.676275\pi\) |
−0.763002 | + | 0.646396i | \(0.776275\pi\) | |||||||
\(620\) | 21050.6 | − | 9372.33i | 1.36357 | − | 0.607100i | ||||
\(621\) | −7374.94 | − | 6640.43i | −0.476564 | − | 0.429100i | ||||
\(622\) | 637.780 | + | 12169.6i | 0.0411136 | + | 0.784494i | ||||
\(623\) | 19505.0 | + | 14171.2i | 1.25434 | + | 0.911330i | ||||
\(624\) | 15714.5 | − | 17332.6i | 1.00815 | − | 1.11196i | ||||
\(625\) | 5416.60 | − | 16670.6i | 0.346663 | − | 1.06692i | ||||
\(626\) | −3255.13 | + | 12148.3i | −0.207829 | + | 0.775630i | ||||
\(627\) | −4461.27 | − | 1332.83i | −0.284156 | − | 0.0848933i | ||||
\(628\) | −9080.77 | − | 5242.78i | −0.577010 | − | 0.333137i | ||||
\(629\) | 28134.9 | − | 14335.4i | 1.78348 | − | 0.908730i | ||||
\(630\) | −63378.0 | − | 51322.5i | −4.00800 | − | 3.24562i | ||||
\(631\) | −17348.5 | − | 6659.47i | −1.09451 | − | 0.420142i | −0.256912 | − | 0.966435i | \(-0.582705\pi\) |
−0.837594 | + | 0.546293i | \(0.816039\pi\) | |||||||
\(632\) | −7573.82 | + | 14864.5i | −0.476694 | + | 0.935564i | ||||
\(633\) | −683.847 | + | 3217.25i | −0.0429391 | + | 0.202013i | ||||
\(634\) | −2085.57 | + | 19842.8i | −0.130644 | + | 1.24300i | ||||
\(635\) | 14391.0 | − | 5524.17i | 0.899351 | − | 0.345228i | ||||
\(636\) | −53947.6 | − | 17528.6i | −3.36346 | − | 1.09285i | ||||
\(637\) | 5859.32 | + | 1926.08i | 0.364450 | + | 0.119802i | ||||
\(638\) | 141.346 | + | 1093.36i | 0.00877109 | + | 0.0678473i | ||||
\(639\) | −10879.4 | − | 2915.12i | −0.673524 | − | 0.180470i | ||||
\(640\) | 6481.75 | + | 30494.2i | 0.400334 | + | 1.88342i | ||||
\(641\) | −21718.8 | + | 2282.74i | −1.33829 | + | 0.140660i | −0.746474 | − | 0.665415i | \(-0.768255\pi\) |
−0.591814 | + | 0.806074i | \(0.701588\pi\) | |||||||
\(642\) | −71929.6 | + | 11392.5i | −4.42186 | + | 0.700354i | ||||
\(643\) | −6439.94 | + | 4182.15i | −0.394971 | + | 0.256497i | −0.726810 | − | 0.686839i | \(-0.758998\pi\) |
0.331838 | + | 0.943336i | \(0.392331\pi\) | |||||||
\(644\) | 7797.19 | − | 5063.55i | 0.477100 | − | 0.309832i | ||||
\(645\) | −15371.7 | + | 2434.63i | −0.938385 | + | 0.148626i | ||||
\(646\) | 7944.24 | − | 834.973i | 0.483842 | − | 0.0508539i | ||||
\(647\) | 1111.09 | + | 5227.28i | 0.0675140 | + | 0.317628i | 0.998926 | − | 0.0463388i | \(-0.0147554\pi\) |
−0.931412 | + | 0.363967i | \(0.881422\pi\) | |||||||
\(648\) | 59801.2 | + | 16023.7i | 3.62533 | + | 0.971404i | ||||
\(649\) | −1114.60 | − | 2350.92i | −0.0674143 | − | 0.142191i | ||||
\(650\) | 1818.27 | + | 3599.05i | 0.109720 | + | 0.217179i | ||||
\(651\) | −24686.4 | − | 8021.10i | −1.48623 | − | 0.482906i | ||||
\(652\) | −25506.4 | + | 9791.01i | −1.53207 | + | 0.588106i | ||||
\(653\) | −2199.81 | + | 20929.8i | −0.131830 | + | 1.25428i | 0.705946 | + | 0.708266i | \(0.250522\pi\) |
−0.837776 | + | 0.546014i | \(0.816144\pi\) | |||||||
\(654\) | 13782.3 | − | 64840.7i | 0.824053 | − | 3.87687i | ||||
\(655\) | −1346.35 | + | 2642.37i | −0.0803151 | + | 0.157627i | ||||
\(656\) | −16622.2 | − | 6380.65i | −0.989308 | − | 0.379760i | ||||
\(657\) | 52198.0 | + | 42269.1i | 3.09960 | + | 2.51001i | ||||
\(658\) | 34387.3 | − | 17521.2i | 2.03732 | − | 1.03807i | ||||
\(659\) | 12171.8 | + | 7027.38i | 0.719492 | + | 0.415399i | 0.814566 | − | 0.580071i | \(-0.196975\pi\) |
−0.0950735 | + | 0.995470i | \(0.530309\pi\) | |||||||
\(660\) | −60998.7 | + | 21440.5i | −3.59753 | + | 1.26450i | ||||
\(661\) | 1562.48 | − | 5831.24i | 0.0919415 | − | 0.343130i | −0.904597 | − | 0.426269i | \(-0.859828\pi\) |
0.996538 | + | 0.0831386i | \(0.0264944\pi\) | |||||||
\(662\) | 7955.62 | − | 24484.9i | 0.467076 | − | 1.43751i | ||||
\(663\) | 54212.6 | + | 11718.0i | 3.17563 | + | 0.686408i | ||||
\(664\) | 14921.9 | + | 10841.4i | 0.872110 | + | 0.633625i | ||||
\(665\) | −181.607 | − | 3465.28i | −0.0105901 | − | 0.202072i | ||||
\(666\) | 59480.4 | + | 53556.3i | 3.46069 | + | 3.11602i | ||||
\(667\) | −156.857 | + | 69.8371i | −0.00910572 | + | 0.00405413i | ||||
\(668\) | −20724.5 | − | 3282.44i | −1.20038 | − | 0.190122i | ||||
\(669\) | 259.904 | + | 13.6210i | 0.0150201 | + | 0.000787171i | ||||
\(670\) | −10748.8 | − | 40115.0i | −0.619794 | − | 2.31310i | ||||
\(671\) | 3918.65 | − | 2679.76i | 0.225452 | − | 0.154174i | ||||
\(672\) | 3952.96 | − | 6846.73i | 0.226918 | − | 0.393033i | ||||
\(673\) | −10272.9 | + | 2183.57i | −0.588398 | + | 0.125068i | −0.492483 | − | 0.870322i | \(-0.663911\pi\) |
−0.0959142 | + | 0.995390i | \(0.530577\pi\) | |||||||
\(674\) | −14995.7 | − | 39065.1i | −0.856991 | − | 2.23254i | ||||
\(675\) | −3758.89 | + | 5173.67i | −0.214340 | + | 0.295014i | ||||
\(676\) | 32303.9 | + | 10742.0i | 1.83795 | + | 0.611176i | ||||
\(677\) | 749.532 | − | 243.538i | 0.0425507 | − | 0.0138256i | −0.287664 | − | 0.957731i | \(-0.592879\pi\) |
0.330215 | + | 0.943906i | \(0.392879\pi\) | |||||||
\(678\) | 5372.22 | − | 4350.34i | 0.304305 | − | 0.246422i | ||||
\(679\) | 7648.44 | − | 17178.7i | 0.432283 | − | 0.970924i | ||||
\(680\) | 39874.3 | − | 35903.0i | 2.24869 | − | 2.02473i | ||||
\(681\) | 6886.32 | + | 6886.32i | 0.387495 | + | 0.387495i | ||||
\(682\) | −16770.2 | + | 14255.5i | −0.941592 | + | 0.800400i | ||||
\(683\) | 22021.8 | − | 5900.73i | 1.23374 | − | 0.330578i | 0.417702 | − | 0.908584i | \(-0.362835\pi\) |
0.816033 | + | 0.578006i | \(0.196169\pi\) | |||||||
\(684\) | 6062.33 | + | 11898.0i | 0.338887 | + | 0.665104i | ||||
\(685\) | 1003.70 | + | 9549.52i | 0.0559843 | + | 0.532655i | ||||
\(686\) | 22202.1 | + | 2333.53i | 1.23568 | + | 0.129876i | ||||
\(687\) | −538.048 | + | 28.1979i | −0.0298803 | + | 0.00156596i | ||||
\(688\) | 2192.48 | + | 6747.76i | 0.121494 | + | 0.373919i | ||||
\(689\) | −1812.35 | − | 17832.3i | −0.100211 | − | 0.986003i | ||||
\(690\) | −8974.83 | − | 12352.8i | −0.495168 | − | 0.681540i | ||||
\(691\) | −13055.0 | + | 20103.0i | −0.718721 | + | 1.10673i | 0.270841 | + | 0.962624i | \(0.412698\pi\) |
−0.989562 | + | 0.144109i | \(0.953968\pi\) | |||||||
\(692\) | −49765.2 | + | 28731.9i | −2.73380 | + | 1.57836i | ||||
\(693\) | 47418.1 | + | 19771.1i | 2.59923 | + | 1.08375i | ||||
\(694\) | 22044.0 | − | 22044.0i | 1.20573 | − | 1.20573i | ||||
\(695\) | 526.525 | − | 10046.7i | 0.0287370 | − | 0.548335i | ||||
\(696\) | 1364.51 | − | 1685.03i | 0.0743125 | − | 0.0917683i | ||||
\(697\) | −6603.05 | − | 41690.0i | −0.358836 | − | 2.26560i | ||||
\(698\) | 37961.8 | + | 8069.03i | 2.05856 | + | 0.437561i | ||||
\(699\) | 31015.2 | − | 34445.8i | 1.67826 | − | 1.86389i | ||||
\(700\) | −3770.28 | − | 4655.91i | −0.203576 | − | 0.251396i | ||||
\(701\) | −3566.26 | + | 2591.04i | −0.192148 | + | 0.139604i | −0.679700 | − | 0.733490i | \(-0.737890\pi\) |
0.487552 | + | 0.873094i | \(0.337890\pi\) | |||||||
\(702\) | 12528.8 | + | 80901.1i | 0.673604 | + | 4.34960i | ||||
\(703\) | 3405.63i | 0.182711i | ||||||||
\(704\) | −10415.3 | − | 19289.8i | −0.557585 | − | 1.03269i | ||||
\(705\) | −20901.0 | − | 36201.6i | −1.11656 | − | 1.93394i | ||||
\(706\) | 41254.6 | + | 45817.9i | 2.19920 | + | 2.44246i | ||||
\(707\) | 1214.54 | − | 7668.29i | 0.0646073 | − | 0.407915i | ||||
\(708\) | −3790.97 | + | 9875.81i | −0.201234 | + | 0.524231i | ||||
\(709\) | 725.376 | + | 1116.98i | 0.0384232 | + | 0.0591666i | 0.857360 | − | 0.514717i | \(-0.172103\pi\) |
−0.818937 | + | 0.573883i | \(0.805436\pi\) | |||||||
\(710\) | −8991.11 | − | 4581.20i | −0.475254 | − | 0.242154i | ||||
\(711\) | −12072.8 | − | 27115.9i | −0.636800 | − | 1.43028i | ||||
\(712\) | −36731.5 | − | 16353.9i | −1.93339 | − | 0.860799i | ||||
\(713\) | −2874.96 | − | 1867.02i | −0.151007 | − | 0.0980651i | ||||
\(714\) | −124954. | −6.54940 | ||||||||
\(715\) | −13978.0 | − | 14901.0i | −0.731115 | − | 0.779393i | ||||
\(716\) | −46054.4 | −2.40382 | ||||||||
\(717\) | −2800.83 | − | 1818.88i | −0.145884 | − | 0.0947382i | ||||
\(718\) | −56600.6 | − | 25200.2i | −2.94194 | − | 1.30984i | ||||
\(719\) | −9335.14 | − | 20967.1i | −0.484203 | − | 1.08754i | −0.976186 | − | 0.216934i | \(-0.930395\pi\) |
0.491983 | − | 0.870605i | \(-0.336272\pi\) | |||||||
\(720\) | 35879.7 | + | 18281.6i | 1.85717 | + | 0.946273i | ||||
\(721\) | 13846.8 | + | 21322.1i | 0.715229 | + | 1.10136i | ||||
\(722\) | 11605.9 | − | 30234.3i | 0.598235 | − | 1.55846i | ||||
\(723\) | 289.393 | − | 1827.16i | 0.0148861 | − | 0.0939872i | ||||
\(724\) | 8690.07 | + | 9651.30i | 0.446083 | + | 0.495425i | ||||
\(725\) | 55.3221 | + | 95.8207i | 0.00283395 | + | 0.00490854i | ||||
\(726\) | 50134.4 | − | 36068.1i | 2.56290 | − | 1.84382i | ||||
\(727\) | 9579.86i | 0.488717i | 0.969685 | + | 0.244359i | \(0.0785774\pi\) | ||||
−0.969685 | + | 0.244359i | \(0.921423\pi\) | |||||||
\(728\) | −36881.2 | − | 4004.48i | −1.87762 | − | 0.203868i | ||||
\(729\) | −13768.8 | + | 10003.6i | −0.699525 | + | 0.508235i | ||||
\(730\) | 37869.9 | + | 46765.5i | 1.92004 | + | 2.37105i | ||||
\(731\) | −11254.9 | + | 12499.8i | −0.569462 | + | 0.632452i | ||||
\(732\) | −18880.1 | − | 4013.10i | −0.953320 | − | 0.202634i | ||||
\(733\) | −1806.53 | − | 11406.0i | −0.0910311 | − | 0.574748i | −0.990473 | − | 0.137707i | \(-0.956027\pi\) |
0.899442 | − | 0.437040i | \(-0.143973\pi\) | |||||||
\(734\) | −5925.95 | + | 7317.93i | −0.297998 | + | 0.367997i | ||||
\(735\) | −787.665 | + | 15029.5i | −0.0395285 | + | 0.754249i | ||||
\(736\) | 738.288 | − | 738.288i | 0.0369751 | − | 0.0369751i | ||||
\(737\) | 13617.7 | + | 22339.0i | 0.680615 | + | 1.11651i | ||||
\(738\) | 92657.1 | − | 53495.6i | 4.62162 | − | 2.66829i | ||||
\(739\) | −15360.8 | + | 23653.6i | −0.764623 | + | 1.17742i | 0.215008 | + | 0.976612i | \(0.431022\pi\) |
−0.979631 | + | 0.200805i | \(0.935644\pi\) | |||||||
\(740\) | 27797.7 | + | 38260.3i | 1.38090 | + | 1.90064i | ||||
\(741\) | −3780.56 | + | 4635.96i | −0.187426 | + | 0.229833i | ||||
\(742\) | 12478.3 | + | 38404.1i | 0.617374 | + | 1.90008i | ||||
\(743\) | −2434.17 | + | 127.570i | −0.120190 | + | 0.00629889i | −0.112336 | − | 0.993670i | \(-0.535833\pi\) |
−0.00785391 | + | 0.999969i | \(0.502500\pi\) | |||||||
\(744\) | 43051.2 | + | 4524.86i | 2.12142 | + | 0.222970i | ||||
\(745\) | 229.902 | + | 2187.37i | 0.0113060 | + | 0.107569i | ||||
\(746\) | 9406.47 | + | 18461.2i | 0.461656 | + | 0.906051i | ||||
\(747\) | −31698.3 | + | 8493.52i | −1.55258 | + | 0.416013i | ||||
\(748\) | −36650.6 | + | 59496.0i | −1.79155 | + | 2.90827i | ||||
\(749\) | 24176.7 | + | 24176.7i | 1.17944 | + | 1.17944i | ||||
\(750\) | 44187.3 | − | 39786.4i | 2.15132 | − | 1.93706i | ||||
\(751\) | 1928.09 | − | 4330.55i | 0.0936843 | − | 0.210418i | −0.860625 | − | 0.509239i | \(-0.829927\pi\) |
0.954309 | + | 0.298821i | \(0.0965934\pi\) | |||||||
\(752\) | −14809.9 | + | 11992.8i | −0.718167 | + | 0.581560i | ||||
\(753\) | 55647.9 | − | 18081.1i | 2.69312 | − | 0.875048i | ||||
\(754\) | 1366.88 | + | 371.290i | 0.0660197 | + | 0.0179331i | ||||
\(755\) | −17771.8 | + | 24460.8i | −0.856664 | + | 1.17910i | ||||
\(756\) | −43589.5 | − | 113555.i | −2.09700 | − | 5.46288i | ||||
\(757\) | −1159.09 | + | 246.371i | −0.0556509 | + | 0.0118290i | −0.235653 | − | 0.971837i | \(-0.575723\pi\) |
0.180002 | + | 0.983666i | \(0.442390\pi\) | |||||||
\(758\) | −21406.2 | + | 37076.6i | −1.02574 | + | 1.77663i | ||||
\(759\) | 7617.42 | + | 5873.37i | 0.364288 | + | 0.280883i | ||||
\(760\) | 1497.78 | + | 5589.80i | 0.0714872 | + | 0.266794i | ||||
\(761\) | −13289.4 | − | 696.467i | −0.633035 | − | 0.0331760i | −0.266880 | − | 0.963730i | \(-0.585993\pi\) |
−0.366155 | + | 0.930554i | \(0.619326\pi\) | |||||||
\(762\) | 59129.8 | + | 9365.24i | 2.81108 | + | 0.445232i | ||||
\(763\) | −28431.4 | + | 12658.5i | −1.34900 | + | 0.600612i | ||||
\(764\) | −37528.3 | − | 33790.6i | −1.77713 | − | 1.60013i | ||||
\(765\) | 4996.26 | + | 95334.4i | 0.236131 | + | 4.50565i | ||||
\(766\) | 49614.8 | + | 36047.3i | 2.34028 | + | 1.70031i | ||||
\(767\) | −3338.67 | + | 163.477i | −0.157174 | + | 0.00769597i | ||||
\(768\) | −23194.6 | + | 71385.7i | −1.08980 | + | 3.35405i | ||||
\(769\) | −1738.87 | + | 6489.54i | −0.0815411 | + | 0.304316i | −0.994637 | − | 0.103430i | \(-0.967018\pi\) |
0.913096 | + | 0.407745i | \(0.133685\pi\) | |||||||
\(770\) | 37871.9 | + | 26159.1i | 1.77248 | + | 1.22430i | ||||
\(771\) | −54895.5 | − | 31693.9i | −2.56422 | − | 1.48045i | ||||
\(772\) | 18281.3 | − | 9314.81i | 0.852280 | − | 0.434258i | ||||
\(773\) | 28905.5 | + | 23407.2i | 1.34497 | + | 1.08913i | 0.987907 | + | 0.155050i | \(0.0495537\pi\) |
0.357059 | + | 0.934082i | \(0.383780\pi\) | |||||||
\(774\) | −39803.2 | − | 15279.0i | −1.84844 | − | 0.709551i | ||||
\(775\) | −1002.86 | + | 1968.23i | −0.0464825 | + | 0.0912271i | ||||
\(776\) | −6520.15 | + | 30674.9i | −0.301624 | + | 1.41903i | ||||
\(777\) | 5568.56 | − | 52981.3i | 0.257105 | − | 2.44619i | ||||
\(778\) | 48155.3 | − | 18485.1i | 2.21909 | − | 0.851829i | ||||
\(779\) | 4329.64 | + | 1406.79i | 0.199134 | + | 0.0647026i | ||||
\(780\) | −4632.40 | + | 82940.3i | −0.212649 | + | 3.80736i | ||||
\(781\) | 6247.75 | + | 1173.05i | 0.286251 | + | 0.0537454i | ||||
\(782\) | −15939.7 | − | 4271.03i | −0.728904 | − | 0.195309i | ||||
\(783\) | 467.045 | + | 2197.27i | 0.0213165 | + | 0.100286i | ||||
\(784\) | 6823.52 | − | 717.181i | 0.310838 | − | 0.0326704i | ||||
\(785\) | 7985.42 | − | 1264.77i | 0.363072 | − | 0.0575050i | ||||
\(786\) | −9659.45 | + | 6272.92i | −0.438348 | + | 0.284666i | ||||
\(787\) | −7182.83 | + | 4664.58i | −0.325337 | + | 0.211276i | −0.696964 | − | 0.717106i | \(-0.745466\pi\) |
0.371628 | + | 0.928382i | \(0.378800\pi\) | |||||||
\(788\) | −35065.4 | + | 5553.81i | −1.58522 | + | 0.251074i | ||||
\(789\) | −32891.4 | + | 3457.03i | −1.48411 | + | 0.155987i | ||||
\(790\) | −5528.98 | − | 26011.8i | −0.249003 | − | 1.17147i | ||||
\(791\) | −3134.87 | − | 839.987i | −0.140914 | − | 0.0377579i | ||||
\(792\) | −84206.6 | − | 15810.3i | −3.77797 | − | 0.709337i | ||||
\(793\) | −1247.60 | − | 5970.25i | −0.0558684 | − | 0.267352i | ||||
\(794\) | −31830.9 | − | 10342.5i | −1.42272 | − | 0.462268i | ||||
\(795\) | 40832.2 | − | 15674.0i | 1.82160 | − | 0.699246i | ||||
\(796\) | −591.647 | + | 5629.15i | −0.0263447 | + | 0.250653i | ||||
\(797\) | −6715.84 | + | 31595.5i | −0.298478 | + | 1.40423i | 0.531794 | + | 0.846873i | \(0.321518\pi\) |
−0.830273 | + | 0.557357i | \(0.811815\pi\) | |||||||
\(798\) | 6118.27 | − | 12007.8i | 0.271409 | − | 0.532670i | ||||
\(799\) | −42177.2 | − | 16190.3i | −1.86749 | − | 0.716862i | ||||
\(800\) | −522.877 | − | 423.417i | −0.0231081 | − | 0.0187126i | ||||
\(801\) | 63740.4 | − | 32477.4i | 2.81168 | − | 1.43262i | ||||
\(802\) | 24731.5 | + | 14278.7i | 1.08890 | + | 0.628677i | ||||
\(803\) | −31191.2 | − | 21544.5i | −1.37075 | − | 0.946812i | ||||
\(804\) | 27531.3 | − | 102748.i | 1.20765 | − | 4.50703i | ||||
\(805\) | −2215.21 | + | 6817.71i | −0.0969886 | + | 0.298500i | ||||
\(806\) | 8646.11 | + | 26924.3i | 0.377849 | + | 1.17663i | ||||
\(807\) | −6565.87 | − | 4770.38i | −0.286406 | − | 0.208086i | ||||
\(808\) | 677.638 | + | 12930.1i | 0.0295040 | + | 0.562970i | ||||
\(809\) | 25702.7 | + | 23142.8i | 1.11701 | + | 1.00576i | 0.999920 | + | 0.0126341i | \(0.00402166\pi\) |
0.117085 | + | 0.993122i | \(0.462645\pi\) | |||||||
\(810\) | −90155.9 | + | 40140.0i | −3.91081 | + | 1.74120i | ||||
\(811\) | −26703.8 | − | 4229.46i | −1.15622 | − | 0.183127i | −0.451273 | − | 0.892386i | \(-0.649030\pi\) |
−0.704949 | + | 0.709258i | \(0.749030\pi\) | |||||||
\(812\) | −2101.58 | − | 110.139i | −0.0908262 | − | 0.00476000i | ||||
\(813\) | 10285.7 | + | 38386.8i | 0.443710 | + | 1.65595i | ||||
\(814\) | −35774.4 | − | 27583.7i | −1.54041 | − | 1.18772i | ||||
\(815\) | 10533.0 | − | 18243.8i | 0.452707 | − | 0.784112i | ||||
\(816\) | 60351.1 | − | 12828.0i | 2.58911 | − | 0.550332i | ||||
\(817\) | −650.119 | − | 1693.62i | −0.0278394 | − | 0.0725241i | ||||
\(818\) | −28854.7 | + | 39715.1i | −1.23335 | + | 1.69756i | ||||
\(819\) | 46832.5 | − | 46511.9i | 1.99812 | − | 1.98444i | ||||
\(820\) | 60123.6 | − | 19535.3i | 2.56050 | − | 0.831956i | ||||
\(821\) | 28973.1 | − | 23461.9i | 1.23163 | − | 0.997353i | 0.231931 | − | 0.972732i | \(-0.425496\pi\) |
0.999697 | − | 0.0246207i | \(-0.00783779\pi\) | |||||||
\(822\) | −15168.0 | + | 34067.9i | −0.643608 | + | 1.44557i | ||||
\(823\) | 22164.9 | − | 19957.4i | 0.938785 | − | 0.845286i | −0.0493641 | − | 0.998781i | \(-0.515719\pi\) |
0.988149 | + | 0.153495i | \(0.0490528\pi\) | |||||||
\(824\) | −29980.8 | − | 29980.8i | −1.26751 | − | 1.26751i | ||||
\(825\) | 3250.97 | − | 5277.40i | 0.137193 | − | 0.222710i | ||||
\(826\) | 7273.96 | − | 1949.05i | 0.306409 | − | 0.0821019i | ||||
\(827\) | 15169.6 | + | 29772.1i | 0.637848 | + | 1.25185i | 0.953047 | + | 0.302821i | \(0.0979285\pi\) |
−0.315200 | + | 0.949025i | \(0.602072\pi\) | |||||||
\(828\) | −2883.54 | − | 27435.1i | −0.121027 | − | 1.15149i | ||||
\(829\) | 40666.0 | + | 4274.16i | 1.70372 | + | 0.179069i | 0.905805 | − | 0.423696i | \(-0.139267\pi\) |
0.797919 | + | 0.602764i | \(0.205934\pi\) | |||||||
\(830\) | −29360.8 | + | 1538.73i | −1.22787 | + | 0.0643497i | ||||
\(831\) | −8818.16 | − | 27139.5i | −0.368109 | − | 1.13292i | ||||
\(832\) | −28020.5 | + | 2847.81i | −1.16759 | + | 0.118666i | ||||
\(833\) | 9560.70 | + | 13159.2i | 0.397669 | + | 0.547345i | ||||
\(834\) | 21280.2 | − | 32768.7i | 0.883541 | − | 1.36053i | ||||
\(835\) | 14011.4 | − | 8089.48i | 0.580699 | − | 0.335267i | ||||
\(836\) | −3922.87 | − | 6435.24i | −0.162291 | − | 0.266229i | ||||
\(837\) | −31712.6 | + | 31712.6i | −1.30961 | + | 1.30961i | ||||
\(838\) | −276.402 | + | 5274.07i | −0.0113940 | + | 0.217410i | ||||
\(839\) | −8764.47 | + | 10823.2i | −0.360647 | + | 0.445363i | −0.924883 | − | 0.380251i | \(-0.875838\pi\) |
0.564236 | + | 0.825614i | \(0.309171\pi\) | |||||||
\(840\) | −14161.1 | − | 89409.4i | −0.581670 | − | 3.67252i | ||||
\(841\) | −23818.0 | − | 5062.68i | −0.976589 | − | 0.207580i | ||||
\(842\) | 16884.6 | − | 18752.2i | 0.691071 | − | 0.767512i | ||||
\(843\) | 13684.5 | + | 16898.9i | 0.559097 | + | 0.690427i | ||||
\(844\) | −4307.18 | + | 3129.35i | −0.175663 | + | 0.127626i | ||||
\(845\) | −24569.7 | + | 9238.30i | −1.00026 | + | 0.376103i | ||||
\(846\) | − | 114515.i | − | 4.65379i | ||||||
\(847\) | −27534.5 | − | 9088.95i | −1.11700 | − | 0.368713i | ||||
\(848\) | −9969.52 | − | 17267.7i | −0.403720 | − | 0.699264i | ||||
\(849\) | 15351.4 | + | 17049.5i | 0.620566 | + | 0.689208i | ||||
\(850\) | −1663.51 | + | 10503.0i | −0.0671269 | + | 0.423823i | ||||
\(851\) | 2521.31 | − | 6568.22i | 0.101562 | − | 0.264578i | ||||
\(852\) | −14076.9 | − | 21676.6i | −0.566043 | − | 0.871629i | ||||
\(853\) | −26384.6 | − | 13443.6i | −1.05908 | − | 0.539626i | −0.164424 | − | 0.986390i | \(-0.552576\pi\) |
−0.894652 | + | 0.446764i | \(0.852576\pi\) | |||||||
\(854\) | 5588.82 | + | 12552.7i | 0.223941 | + | 0.502980i | ||||
\(855\) | −9406.08 | − | 4187.86i | −0.376235 | − | 0.167511i | ||||
\(856\) | −47821.5 | − | 31055.6i | −1.90947 | − | 1.24002i | ||||
\(857\) | 3947.32 | 0.157337 | 0.0786686 | − | 0.996901i | \(-0.474933\pi\) | ||||
0.0786686 | + | 0.996901i | \(0.474933\pi\) | |||||||
\(858\) | −18078.0 | − | 77261.5i | −0.719315 | − | 3.07420i | ||||
\(859\) | 43424.1 | 1.72481 | 0.862404 | − | 0.506220i | \(-0.168958\pi\) | ||||
0.862404 | + | 0.506220i | \(0.168958\pi\) | |||||||
\(860\) | −21127.5 | − | 13720.4i | −0.837723 | − | 0.544024i | ||||
\(861\) | −65055.8 | − | 28964.7i | −2.57503 | − | 1.14648i | ||||
\(862\) | −5214.48 | − | 11711.9i | −0.206039 | − | 0.462772i | ||||
\(863\) | 19713.4 | + | 10044.5i | 0.777581 | + | 0.396197i | 0.797281 | − | 0.603609i | \(-0.206271\pi\) |
−0.0196997 | + | 0.999806i | \(0.506271\pi\) | |||||||
\(864\) | −7439.71 | − | 11456.2i | −0.292945 | − | 0.451095i | ||||
\(865\) | 15878.5 | − | 41364.9i | 0.624145 | − | 1.62595i | ||||
\(866\) | −2438.27 | + | 15394.6i | −0.0956764 | + | 0.604077i | ||||
\(867\) | 66404.0 | + | 73749.1i | 2.60115 | + | 2.88887i | ||||
\(868\) | −21007.7 | − | 36386.3i | −0.821482 | − | 1.42285i | ||||
\(869\) | 7959.20 | + | 14741.0i | 0.310699 | + | 0.575438i | ||||
\(870\) | 3456.22i | 0.134686i | ||||||||
\(871\) | 33216.7 | − | 5144.14i | 1.29220 | − | 0.200118i | ||||
\(872\) | 41989.9 | − | 30507.4i | 1.63068 | − | 1.18476i | ||||
\(873\) | −35113.7 | − | 43361.8i | −1.36130 | − | 1.68107i | ||||
\(874\) | 1190.92 | − | 1322.65i | 0.0460908 | − | 0.0511890i | ||||
\(875\) | −27305.7 | − | 5804.00i | −1.05497 | − | 0.224241i | ||||
\(876\) | 24111.4 | + | 152233.i | 0.929965 | + | 5.87156i | ||||
\(877\) | 5546.23 | − | 6849.02i | 0.213549 | − | 0.263711i | −0.659104 | − | 0.752052i | \(-0.729064\pi\) |
0.872653 | + | 0.488340i | \(0.162398\pi\) | |||||||
\(878\) | −3683.50 | + | 70285.3i | −0.141585 | + | 2.70161i | ||||
\(879\) | −45454.7 | + | 45454.7i | −1.74420 | + | 1.74420i | ||||
\(880\) | −20977.2 | − | 8746.51i | −0.803571 | − | 0.335051i | ||||
\(881\) | 537.824 | − | 310.513i | 0.0205672 | − | 0.0118745i | −0.489681 | − | 0.871902i | \(-0.662887\pi\) |
0.510248 | + | 0.860027i | \(0.329553\pi\) | |||||||
\(882\) | −22455.1 | + | 34577.9i | −0.857260 | + | 1.32007i | ||||
\(883\) | −7285.02 | − | 10027.0i | −0.277645 | − | 0.382146i | 0.647307 | − | 0.762229i | \(-0.275895\pi\) |
−0.924952 | + | 0.380084i | \(0.875895\pi\) | |||||||
\(884\) | 52520.6 | + | 72813.0i | 1.99826 | + | 2.77032i | ||||
\(885\) | −2520.51 | − | 7757.35i | −0.0957358 | − | 0.294644i | ||||
\(886\) | 65039.0 | − | 3408.55i | 2.46617 | − | 0.129247i | ||||
\(887\) | 18278.6 | + | 1921.16i | 0.691922 | + | 0.0727239i | 0.443961 | − | 0.896046i | \(-0.353573\pi\) |
0.247961 | + | 0.968770i | \(0.420240\pi\) | |||||||
\(888\) | 9286.71 | + | 88357.1i | 0.350948 | + | 3.33904i | ||||
\(889\) | −12760.2 | − | 25043.3i | −0.481399 | − | 0.944799i | ||||
\(890\) | 61908.4 | − | 16588.3i | 2.33166 | − | 0.624766i | ||||
\(891\) | 47368.3 | − | 40265.4i | 1.78103 | − | 1.51396i | ||||
\(892\) | 297.885 | + | 297.885i | 0.0111815 | + | 0.0111815i | ||||
\(893\) | 3621.04 | − | 3260.40i | 0.135693 | − | 0.122178i | ||||
\(894\) | −3474.32 | + | 7803.45i | −0.129976 | + | 0.291931i | ||||
\(895\) | 27596.8 | − | 22347.5i | 1.03068 | − | 0.834630i | ||||
\(896\) | 54062.1 | − | 17565.8i | 2.01572 | − | 0.654948i | ||||
\(897\) | 10723.5 | − | 6142.20i | 0.399160 | − | 0.228631i | ||||
\(898\) | −20647.3 | + | 28418.6i | −0.767271 | + | 1.05606i | ||||
\(899\) | 278.076 | + | 724.412i | 0.0103163 | + | 0.0268749i | ||||
\(900\) | −17388.1 | + | 3695.95i | −0.644003 | + | 0.136887i | ||||
\(901\) | 23634.7 | − | 40936.6i | 0.873904 | − | 1.51365i | ||||
\(902\) | −49845.2 | + | 34086.5i | −1.83998 | + | 1.25827i | ||||
\(903\) | 7344.64 | + | 27410.6i | 0.270669 | + | 1.01015i | ||||
\(904\) | 5405.05 | + | 283.267i | 0.198860 | + | 0.0104218i | ||||
\(905\) | −9890.49 | − | 1566.50i | −0.363283 | − | 0.0575384i | ||||
\(906\) | −107273. | + | 47761.1i | −3.93368 | + | 1.75139i | ||||
\(907\) | 28889.2 | + | 26012.0i | 1.05761 | + | 0.952276i | 0.998941 | − | 0.0460017i | \(-0.0146480\pi\) |
0.0586681 | + | 0.998278i | \(0.481315\pi\) | |||||||
\(908\) | 825.008 | + | 15742.1i | 0.0301529 | + | 0.575352i | ||||
\(909\) | −18637.2 | − | 13540.7i | −0.680042 | − | 0.494079i | ||||
\(910\) | 49705.5 | − | 32037.0i | 1.81068 | − | 1.16705i | ||||
\(911\) | 3497.18 | − | 10763.2i | 0.127186 | − | 0.391439i | −0.867107 | − | 0.498122i | \(-0.834023\pi\) |
0.994293 | + | 0.106683i | \(0.0340231\pi\) | |||||||
\(912\) | −1722.31 | + | 6427.74i | −0.0625343 | + | 0.233381i | ||||
\(913\) | 17473.6 | − | 6141.82i | 0.633397 | − | 0.222634i | ||||
\(914\) | −53199.8 | − | 30714.9i | −1.92527 | − | 1.11155i | ||||
\(915\) | 13260.7 | − | 6756.68i | 0.479111 | − | 0.244119i | ||||
\(916\) | −677.758 | − | 548.838i | −0.0244473 | − | 0.0197971i | ||||
\(917\) | 5048.21 | + | 1937.83i | 0.181796 | + | 0.0697848i | ||||
\(918\) | −98014.4 | + | 192364.i | −3.52392 | + | 6.91608i | ||||
\(919\) | −9338.47 | + | 43934.1i | −0.335199 | + | 1.57699i | 0.411236 | + | 0.911529i | \(0.365097\pi\) |
−0.746435 | + | 0.665458i | \(0.768236\pi\) | |||||||
\(920\) | 1249.64 | − | 11889.6i | 0.0447821 | − | 0.426073i | ||||
\(921\) | −73348.5 | + | 28155.9i | −2.62423 | + | 1.00735i | ||||
\(922\) | 7341.95 | + | 2385.54i | 0.262250 | + | 0.0852101i | ||||
\(923\) | 4471.67 | − | 6834.26i | 0.159466 | − | 0.243719i | ||||
\(924\) | 50505.7 | + | 106527.i | 1.79818 | + | 3.79273i | ||||
\(925\) | −4379.21 | − | 1173.41i | −0.155662 | − | 0.0417095i | ||||
\(926\) | −13298.4 | − | 62564.1i | −0.471936 | − | 2.22028i | ||||
\(927\) | 75023.7 | − | 7885.31i | 2.65815 | − | 0.279382i | ||||
\(928\) | −233.429 | + | 36.9716i | −0.00825721 | + | 0.00130781i | ||||
\(929\) | 8338.75 | − | 5415.25i | 0.294495 | − | 0.191247i | −0.388932 | − | 0.921267i | \(-0.627156\pi\) |
0.683426 | + | 0.730020i | \(0.260489\pi\) | |||||||
\(930\) | −57870.9 | + | 37581.8i | −2.04049 | + | 1.32511i | ||||
\(931\) | −1732.70 | + | 274.433i | −0.0609958 | + | 0.00966078i | ||||
\(932\) | 74616.3 | − | 7842.48i | 2.62246 | − | 0.275632i | ||||
\(933\) | −5003.83 | − | 23541.2i | −0.175582 | − | 0.826049i | ||||
\(934\) | −55171.8 | − | 14783.2i | −1.93284 | − | 0.517904i | ||||
\(935\) | −6908.01 | − | 53435.8i | −0.241621 | − | 1.86902i | ||||
\(936\) | −60268.8 | + | 92111.6i | −2.10464 | + | 3.21663i | ||||
\(937\) | 21842.4 | + | 7097.02i | 0.761536 | + | 0.247438i | 0.663938 | − | 0.747788i | \(-0.268884\pi\) |
0.0975983 | + | 0.995226i | \(0.468884\pi\) | |||||||
\(938\) | −70694.9 | + | 27137.2i | −2.46084 | + | 0.944630i | ||||
\(939\) | 2596.33 | − | 24702.4i | 0.0902322 | − | 0.858502i | ||||
\(940\) | 14068.0 | − | 66184.6i | 0.488135 | − | 2.29649i | ||||
\(941\) | −8808.20 | + | 17287.1i | −0.305143 | + | 0.598876i | −0.991755 | − | 0.128148i | \(-0.959097\pi\) |
0.686613 | + | 0.727024i | \(0.259097\pi\) | |||||||
\(942\) | 29314.2 | + | 11252.7i | 1.01392 | + | 0.389206i | ||||
\(943\) | −7308.82 | − | 5918.56i | −0.252394 | − | 0.204385i | ||||
\(944\) | −3313.14 | + | 1688.13i | −0.114231 | + | 0.0582034i | ||||
\(945\) | 81221.2 | + | 46893.1i | 2.79590 | + | 1.61421i | ||||
\(946\) | 23056.2 | + | 6888.17i | 0.792411 | + | 0.236738i | ||||
\(947\) | −9329.90 | + | 34819.7i | −0.320149 | + | 1.19481i | 0.598950 | + | 0.800786i | \(0.295585\pi\) |
−0.919099 | + | 0.394026i | \(0.871082\pi\) | |||||||
\(948\) | 21048.2 | − | 64779.8i | 0.721113 | − | 2.21936i | ||||
\(949\) | −40937.3 | + | 26385.6i | −1.40030 | + | 0.902541i | ||||
\(950\) | −927.862 | − | 674.131i | −0.0316882 | − | 0.0230229i | ||||
\(951\) | −2062.26 | − | 39350.2i | −0.0703188 | − | 1.34176i | ||||
\(952\) | −72705.3 | − | 65464.1i | −2.47520 | − | 2.22868i | ||||
\(953\) | −12030.7 | + | 5356.43i | −0.408934 | + | 0.182069i | −0.600885 | − | 0.799335i | \(-0.705185\pi\) |
0.191951 | + | 0.981404i | \(0.438518\pi\) | |||||||
\(954\) | 118341. | + | 18743.4i | 4.01619 | + | 0.636102i | ||||
\(955\) | 38884.4 | + | 2037.84i | 1.31756 | + | 0.0690503i | ||||
\(956\) | −1399.10 | − | 5221.49i | −0.0473326 | − | 0.176648i | ||||
\(957\) | −613.505 | − | 2089.07i | −0.0207229 | − | 0.0705641i | ||||
\(958\) | −34987.1 | + | 60599.5i | −1.17994 | + | 2.04372i | ||||
\(959\) | 17125.6 | − | 3640.15i | 0.576656 | − | 0.122572i | ||||
\(960\) | −24629.1 | − | 64161.0i | −0.828022 | − | 2.15707i | ||||
\(961\) | 8404.88 | − | 11568.3i | 0.282128 | − | 0.388316i | ||||
\(962\) | −50361.7 | + | 28846.2i | −1.68787 | + | 0.966776i | ||||
\(963\) | 96485.9 | − | 31350.2i | 3.22868 | − | 1.04906i | ||||
\(964\) | 2327.10 | − | 1884.45i | 0.0777498 | − | 0.0629605i | ||||
\(965\) | −6434.67 | + | 14452.5i | −0.214652 | + | 0.482117i | ||||
\(966\) | −20689.7 | + | 18629.1i | −0.689110 | + | 0.620477i | ||||
\(967\) | −4824.11 | − | 4824.11i | −0.160427 | − | 0.160427i | 0.622329 | − | 0.782756i | \(-0.286187\pi\) |
−0.782756 | + | 0.622329i | \(0.786187\pi\) | |||||||
\(968\) | 48067.5 | + | 5279.25i | 1.59602 | + | 0.175291i | ||||
\(969\) | −15238.2 | + | 4083.07i | −0.505184 | + | 0.135364i | ||||
\(970\) | −22694.6 | − | 44540.7i | −0.751218 | − | 1.47435i | ||||
\(971\) | −4652.94 | − | 44269.8i | −0.153780 | − | 1.46312i | −0.750608 | − | 0.660747i | \(-0.770239\pi\) |
0.596829 | − | 0.802369i | \(-0.296427\pi\) | |||||||
\(972\) | −101464. | − | 10664.3i | −3.34821 | − | 0.351911i | ||||
\(973\) | −18318.8 | + | 960.046i | −0.603569 | + | 0.0316317i | ||||
\(974\) | −1401.52 | − | 4313.44i | −0.0461064 | − | 0.141901i | ||||
\(975\) | −4658.67 | − | 6458.63i | −0.153022 | − | 0.212145i | ||||
\(976\) | −3988.03 | − | 5489.05i | −0.130793 | − | 0.180021i | ||||
\(977\) | 14870.4 | − | 22898.4i | 0.486947 | − | 0.749832i | −0.506731 | − | 0.862104i | \(-0.669146\pi\) |
0.993677 | + | 0.112272i | \(0.0358129\pi\) | |||||||
\(978\) | 70853.8 | − | 40907.5i | 2.31662 | − | 1.33750i | ||||
\(979\) | −34475.1 | + | 21015.8i | −1.12546 | + | 0.686075i | ||||
\(980\) | −17225.9 | + | 17225.9i | −0.561492 | + | 0.561492i | ||||
\(981\) | −4832.96 | + | 92218.3i | −0.157293 | + | 3.00133i | ||||
\(982\) | −2408.40 | + | 2974.13i | −0.0782640 | + | 0.0966479i | ||||
\(983\) | 569.456 | + | 3595.40i | 0.0184769 | + | 0.116659i | 0.995203 | − | 0.0978321i | \(-0.0311908\pi\) |
−0.976726 | + | 0.214491i | \(0.931191\pi\) | |||||||
\(984\) | 116166. | + | 24691.9i | 3.76346 | + | 0.799948i | ||||
\(985\) | 18317.0 | − | 20343.1i | 0.592517 | − | 0.658057i | ||||
\(986\) | 2350.73 | + | 2902.91i | 0.0759255 | + | 0.0937602i | ||||
\(987\) | −61663.5 | + | 44801.1i | −1.98862 | + | 1.44482i | ||||
\(988\) | −9568.82 | + | 1481.88i | −0.308122 | + | 0.0477176i | ||||
\(989\) | 3747.68i | 0.120495i | ||||||||
\(990\) | 120175. | − | 64886.8i | 3.85800 | − | 2.08307i | ||||
\(991\) | −3285.68 | − | 5690.96i | −0.105321 | − | 0.182421i | 0.808548 | − | 0.588430i | \(-0.200254\pi\) |
−0.913869 | + | 0.406009i | \(0.866920\pi\) | |||||||
\(992\) | −3157.28 | − | 3506.51i | −0.101052 | − | 0.112230i | ||||
\(993\) | −7953.85 | + | 50218.6i | −0.254187 | + | 1.60487i | ||||
\(994\) | −6593.79 | + | 17177.4i | −0.210405 | + | 0.548123i | ||||
\(995\) | −2376.96 | − | 3660.20i | −0.0757335 | − | 0.116619i | ||||
\(996\) | −67098.3 | − | 34188.3i | −2.13463 | − | 1.08765i | ||||
\(997\) | −12179.9 | − | 27356.5i | −0.386903 | − | 0.868997i | −0.997053 | − | 0.0767120i | \(-0.975558\pi\) |
0.610151 | − | 0.792285i | \(-0.291109\pi\) | |||||||
\(998\) | −67699.1 | − | 30141.6i | −2.14727 | − | 0.956028i | ||||
\(999\) | −77195.9 | − | 50131.6i | −2.44481 | − | 1.58768i |
(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 | 143.4.w.a.2.4 | ✓ | 640 | |
11.6 | odd | 10 | inner | 143.4.w.a.28.4 | yes | 640 | |
13.7 | odd | 12 | inner | 143.4.w.a.46.4 | yes | 640 | |
143.72 | even | 60 | inner | 143.4.w.a.72.4 | yes | 640 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
143.4.w.a.2.4 | ✓ | 640 | 1.1 | even | 1 | trivial | |
143.4.w.a.28.4 | yes | 640 | 11.6 | odd | 10 | inner | |
143.4.w.a.46.4 | yes | 640 | 13.7 | odd | 12 | inner | |
143.4.w.a.72.4 | yes | 640 | 143.72 | even | 60 | inner |