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 | 2.13 | ||
Character | \(\chi\) | \(=\) | 143.2 |
Dual form | 143.4.w.a.72.13 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/143\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) |
\(\chi(n)\) | \(e\left(\frac{1}{12}\right)\) | \(e\left(\frac{1}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.03945 | − | 1.32443i | −0.721054 | − | 0.468258i | 0.131220 | − | 0.991353i | \(-0.458111\pi\) |
−0.852274 | + | 0.523095i | \(0.824777\pi\) | |||||||
\(3\) | −3.45137 | − | 1.53665i | −0.664217 | − | 0.295728i | 0.0467990 | − | 0.998904i | \(-0.485098\pi\) |
−0.711016 | + | 0.703176i | \(0.751765\pi\) | |||||||
\(4\) | −0.848666 | − | 1.90614i | −0.106083 | − | 0.238267i | ||||
\(5\) | 7.68362 | + | 3.91500i | 0.687244 | + | 0.350168i | 0.762493 | − | 0.646996i | \(-0.223975\pi\) |
−0.0752490 | + | 0.997165i | \(0.523975\pi\) | |||||||
\(6\) | 5.00371 | + | 7.70503i | 0.340459 | + | 0.524261i | ||||
\(7\) | 11.4289 | − | 29.7734i | 0.617104 | − | 1.60761i | −0.166284 | − | 0.986078i | \(-0.553177\pi\) |
0.783388 | − | 0.621533i | \(-0.213490\pi\) | |||||||
\(8\) | −3.83703 | + | 24.2261i | −0.169574 | + | 1.07065i | ||||
\(9\) | −8.51585 | − | 9.45781i | −0.315402 | − | 0.350289i | ||||
\(10\) | −10.4852 | − | 18.1609i | −0.331571 | − | 0.574298i | ||||
\(11\) | 36.0102 | − | 5.85390i | 0.987043 | − | 0.160456i | ||||
\(12\) | 7.88289i | 0.189633i | ||||||||
\(13\) | 39.3067 | − | 25.5340i | 0.838594 | − | 0.544757i | ||||
\(14\) | −62.7416 | + | 45.5844i | −1.19774 | + | 0.870210i | ||||
\(15\) | −20.5031 | − | 25.3192i | −0.352924 | − | 0.435825i | ||||
\(16\) | 28.7420 | − | 31.9212i | 0.449093 | − | 0.498769i | ||||
\(17\) | −83.6083 | − | 17.7715i | −1.19282 | − | 0.253542i | −0.431620 | − | 0.902056i | \(-0.642058\pi\) |
−0.761204 | + | 0.648513i | \(0.775391\pi\) | |||||||
\(18\) | 4.84140 | + | 30.5674i | 0.0633960 | + | 0.400267i | ||||
\(19\) | 0.390050 | − | 0.481672i | 0.00470967 | − | 0.00581595i | −0.774786 | − | 0.632224i | \(-0.782142\pi\) |
0.779495 | + | 0.626408i | \(0.215476\pi\) | |||||||
\(20\) | 0.941692 | − | 17.9685i | 0.0105284 | − | 0.200894i | ||||
\(21\) | −85.1967 | + | 85.1967i | −0.885307 | + | 0.885307i | ||||
\(22\) | −81.1940 | − | 35.7543i | −0.786846 | − | 0.346493i | ||||
\(23\) | −170.458 | + | 98.4140i | −1.54535 | + | 0.892206i | −0.546858 | + | 0.837225i | \(0.684176\pi\) |
−0.998487 | + | 0.0549806i | \(0.982490\pi\) | |||||||
\(24\) | 50.4700 | − | 77.7170i | 0.429256 | − | 0.660997i | ||||
\(25\) | −29.7624 | − | 40.9644i | −0.238099 | − | 0.327715i | ||||
\(26\) | −113.982 | + | 0.0160933i | −0.859758 | + | 0.000121390i | ||||
\(27\) | 46.3796 | + | 142.742i | 0.330584 | + | 1.01743i | ||||
\(28\) | −66.4514 | + | 3.48257i | −0.448505 | + | 0.0235051i | ||||
\(29\) | −146.434 | − | 15.3908i | −0.937657 | − | 0.0985517i | −0.376643 | − | 0.926358i | \(-0.622922\pi\) |
−0.561014 | + | 0.827807i | \(0.689588\pi\) | |||||||
\(30\) | 8.28138 | + | 78.7921i | 0.0503989 | + | 0.479513i | ||||
\(31\) | −26.9879 | − | 52.9668i | −0.156360 | − | 0.306874i | 0.799515 | − | 0.600646i | \(-0.205090\pi\) |
−0.955876 | + | 0.293771i | \(0.905090\pi\) | |||||||
\(32\) | 88.6429 | − | 23.7518i | 0.489687 | − | 0.131211i | ||||
\(33\) | −133.280 | − | 35.1310i | −0.703062 | − | 0.185319i | ||||
\(34\) | 146.978 | + | 146.978i | 0.741367 | + | 0.741367i | ||||
\(35\) | 204.378 | − | 184.023i | 0.987035 | − | 0.888731i | ||||
\(36\) | −10.8007 | + | 24.2589i | −0.0500035 | + | 0.112310i | ||||
\(37\) | 187.964 | − | 152.210i | 0.835165 | − | 0.676303i | −0.113169 | − | 0.993576i | \(-0.536100\pi\) |
0.948334 | + | 0.317272i | \(0.102767\pi\) | |||||||
\(38\) | −1.43343 | + | 0.465750i | −0.00611929 | + | 0.00198828i | ||||
\(39\) | −174.899 | + | 27.7266i | −0.718108 | + | 0.113841i | ||||
\(40\) | −124.327 | + | 171.122i | −0.491447 | + | 0.676419i | ||||
\(41\) | 39.2072 | + | 102.138i | 0.149345 | + | 0.389056i | 0.987761 | − | 0.155974i | \(-0.0498516\pi\) |
−0.838417 | + | 0.545030i | \(0.816518\pi\) | |||||||
\(42\) | 286.592 | − | 60.9170i | 1.05291 | − | 0.223802i | ||||
\(43\) | −17.2372 | + | 29.8557i | −0.0611313 | + | 0.105883i | −0.894971 | − | 0.446124i | \(-0.852804\pi\) |
0.833840 | + | 0.552006i | \(0.186138\pi\) | |||||||
\(44\) | −41.7189 | − | 63.6722i | −0.142940 | − | 0.218158i | ||||
\(45\) | −28.4052 | − | 106.010i | −0.0940978 | − | 0.351178i | ||||
\(46\) | 477.983 | + | 25.0500i | 1.53206 | + | 0.0802919i | ||||
\(47\) | −277.591 | − | 43.9661i | −0.861506 | − | 0.136449i | −0.289980 | − | 0.957033i | \(-0.593649\pi\) |
−0.571527 | + | 0.820584i | \(0.693649\pi\) | |||||||
\(48\) | −148.251 | + | 66.0056i | −0.445796 | + | 0.198481i | ||||
\(49\) | −500.934 | − | 451.043i | −1.46045 | − | 1.31500i | ||||
\(50\) | 6.44422 | + | 122.963i | 0.0182270 | + | 0.347792i | ||||
\(51\) | 261.255 | + | 189.813i | 0.717314 | + | 0.521159i | ||||
\(52\) | −82.0294 | − | 53.2541i | −0.218758 | − | 0.142019i | ||||
\(53\) | 67.1400 | − | 206.636i | 0.174007 | − | 0.535540i | −0.825579 | − | 0.564286i | \(-0.809152\pi\) |
0.999587 | + | 0.0287464i | \(0.00915154\pi\) | |||||||
\(54\) | 94.4631 | − | 352.541i | 0.238052 | − | 0.888422i | ||||
\(55\) | 299.606 | + | 96.0007i | 0.734526 | + | 0.235359i | ||||
\(56\) | 677.438 | + | 391.119i | 1.61654 | + | 0.933313i | ||||
\(57\) | −2.08637 | + | 1.06306i | −0.00484818 | + | 0.00247027i | ||||
\(58\) | 278.260 | + | 225.330i | 0.629954 | + | 0.510127i | ||||
\(59\) | 628.324 | + | 241.191i | 1.38645 | + | 0.532210i | 0.933260 | − | 0.359202i | \(-0.116951\pi\) |
0.453194 | + | 0.891412i | \(0.350284\pi\) | |||||||
\(60\) | −30.8615 | + | 60.5691i | −0.0664034 | + | 0.130324i | ||||
\(61\) | 11.7160 | − | 55.1193i | 0.0245914 | − | 0.115693i | −0.964140 | − | 0.265394i | \(-0.914498\pi\) |
0.988731 | + | 0.149701i | \(0.0478311\pi\) | |||||||
\(62\) | −15.1105 | + | 143.767i | −0.0309522 | + | 0.294490i | ||||
\(63\) | −378.918 | + | 145.453i | −0.757764 | + | 0.290878i | ||||
\(64\) | −539.055 | − | 175.150i | −1.05284 | − | 0.342089i | ||||
\(65\) | 401.983 | − | 42.3075i | 0.767075 | − | 0.0807324i | ||||
\(66\) | 225.289 | + | 248.168i | 0.420169 | + | 0.462840i | ||||
\(67\) | −261.297 | − | 70.0143i | −0.476455 | − | 0.127666i | 0.0125963 | − | 0.999921i | \(-0.495990\pi\) |
−0.489052 | + | 0.872255i | \(0.662657\pi\) | |||||||
\(68\) | 37.0807 | + | 174.451i | 0.0661278 | + | 0.311107i | ||||
\(69\) | 739.542 | − | 77.7290i | 1.29030 | − | 0.135616i | ||||
\(70\) | −660.545 | + | 104.620i | −1.12786 | + | 0.178636i | ||||
\(71\) | 606.780 | − | 394.048i | 1.01425 | − | 0.658660i | 0.0733338 | − | 0.997307i | \(-0.476636\pi\) |
0.940913 | + | 0.338648i | \(0.109969\pi\) | |||||||
\(72\) | 261.801 | − | 170.016i | 0.428521 | − | 0.278285i | ||||
\(73\) | 90.8153 | − | 14.3837i | 0.145604 | − | 0.0230615i | −0.0832067 | − | 0.996532i | \(-0.526516\pi\) |
0.228811 | + | 0.973471i | \(0.426516\pi\) | |||||||
\(74\) | −584.936 | + | 61.4792i | −0.918884 | + | 0.0965786i | ||||
\(75\) | 39.7731 | + | 187.118i | 0.0612347 | + | 0.288086i | ||||
\(76\) | −1.24915 | − | 0.334710i | −0.00188537 | − | 0.000505182i | ||||
\(77\) | 237.267 | − | 1139.05i | 0.351157 | − | 1.68580i | ||||
\(78\) | 393.419 | + | 175.095i | 0.571102 | + | 0.254174i | ||||
\(79\) | −493.751 | − | 160.429i | −0.703182 | − | 0.228478i | −0.0644654 | − | 0.997920i | \(-0.520534\pi\) |
−0.638716 | + | 0.769442i | \(0.720534\pi\) | |||||||
\(80\) | 345.814 | − | 132.746i | 0.483290 | − | 0.185518i | ||||
\(81\) | 23.3525 | − | 222.185i | 0.0320337 | − | 0.304780i | ||||
\(82\) | 55.3142 | − | 260.233i | 0.0744931 | − | 0.350462i | ||||
\(83\) | −179.347 | + | 351.989i | −0.237180 | + | 0.465492i | −0.978661 | − | 0.205482i | \(-0.934124\pi\) |
0.741481 | + | 0.670974i | \(0.234124\pi\) | |||||||
\(84\) | 234.700 | + | 90.0929i | 0.304856 | + | 0.117023i | ||||
\(85\) | −572.839 | − | 463.876i | −0.730978 | − | 0.591935i | ||||
\(86\) | 74.6962 | − | 38.0596i | 0.0936593 | − | 0.0477218i | ||||
\(87\) | 481.747 | + | 278.137i | 0.593663 | + | 0.342752i | ||||
\(88\) | 3.64471 | + | 894.846i | 0.00441508 | + | 1.08399i | ||||
\(89\) | 34.9404 | − | 130.399i | 0.0416143 | − | 0.155307i | −0.941992 | − | 0.335635i | \(-0.891049\pi\) |
0.983607 | + | 0.180328i | \(0.0577159\pi\) | |||||||
\(90\) | −82.4718 | + | 253.822i | −0.0965922 | + | 0.297280i | ||||
\(91\) | −310.999 | − | 1462.12i | −0.358258 | − | 1.68430i | ||||
\(92\) | 332.252 | + | 241.395i | 0.376518 | + | 0.273557i | ||||
\(93\) | 11.7540 | + | 224.279i | 0.0131057 | + | 0.250071i | ||||
\(94\) | 507.902 | + | 457.317i | 0.557299 | + | 0.501795i | ||||
\(95\) | 4.88274 | − | 2.17394i | 0.00527325 | − | 0.00234780i | ||||
\(96\) | −342.438 | − | 54.2368i | −0.364062 | − | 0.0576617i | ||||
\(97\) | −685.789 | − | 35.9407i | −0.717848 | − | 0.0376208i | −0.310085 | − | 0.950709i | \(-0.600358\pi\) |
−0.407763 | + | 0.913088i | \(0.633691\pi\) | |||||||
\(98\) | 424.253 | + | 1583.33i | 0.437307 | + | 1.63205i | ||||
\(99\) | −362.022 | − | 290.726i | −0.367521 | − | 0.295142i | ||||
\(100\) | −52.8253 | + | 91.4961i | −0.0528253 | + | 0.0914961i | ||||
\(101\) | 409.715 | − | 87.0876i | 0.403645 | − | 0.0857974i | −0.00161525 | − | 0.999999i | \(-0.500514\pi\) |
0.405261 | + | 0.914201i | \(0.367181\pi\) | |||||||
\(102\) | −281.422 | − | 733.128i | −0.273185 | − | 0.711672i | ||||
\(103\) | −754.527 | + | 1038.52i | −0.721803 | + | 0.993477i | 0.277659 | + | 0.960680i | \(0.410442\pi\) |
−0.999462 | + | 0.0327971i | \(0.989558\pi\) | |||||||
\(104\) | 467.766 | + | 1050.22i | 0.441041 | + | 0.990218i | ||||
\(105\) | −988.165 | + | 321.074i | −0.918428 | + | 0.298416i | ||||
\(106\) | −410.604 | + | 332.500i | −0.376239 | + | 0.304673i | ||||
\(107\) | −348.232 | + | 782.142i | −0.314625 | + | 0.706659i | −0.999763 | − | 0.0217537i | \(-0.993075\pi\) |
0.685138 | + | 0.728413i | \(0.259742\pi\) | |||||||
\(108\) | 232.724 | − | 209.546i | 0.207351 | − | 0.186700i | ||||
\(109\) | 1074.81 | + | 1074.81i | 0.944477 | + | 0.944477i | 0.998538 | − | 0.0540610i | \(-0.0172166\pi\) |
−0.0540610 | + | 0.998538i | \(0.517217\pi\) | |||||||
\(110\) | −483.885 | − | 592.597i | −0.419424 | − | 0.513654i | ||||
\(111\) | −882.628 | + | 236.500i | −0.754733 | + | 0.202230i | ||||
\(112\) | −621.912 | − | 1220.57i | −0.524689 | − | 1.02976i | ||||
\(113\) | −217.398 | − | 2068.40i | −0.180983 | − | 1.72194i | −0.588295 | − | 0.808647i | \(-0.700200\pi\) |
0.407312 | − | 0.913289i | \(-0.366466\pi\) | |||||||
\(114\) | 5.66299 | + | 0.595205i | 0.00465253 | + | 0.000489000i | ||||
\(115\) | −1695.03 | + | 88.8325i | −1.37445 | + | 0.0720320i | ||||
\(116\) | 94.9364 | + | 292.184i | 0.0759881 | + | 0.233867i | ||||
\(117\) | −576.225 | − | 154.312i | −0.455316 | − | 0.121933i | ||||
\(118\) | −961.993 | − | 1324.07i | −0.750497 | − | 1.03297i | ||||
\(119\) | −1484.67 | + | 2286.19i | −1.14369 | + | 1.76113i | ||||
\(120\) | 692.055 | − | 399.558i | 0.526464 | − | 0.303954i | ||||
\(121\) | 1262.46 | − | 421.599i | 0.948508 | − | 0.316754i | ||||
\(122\) | −96.8959 | + | 96.8959i | −0.0719061 | + | 0.0719061i | ||||
\(123\) | 21.6321 | − | 412.765i | 0.0158577 | − | 0.302583i | ||||
\(124\) | −78.0581 | + | 96.3937i | −0.0565308 | + | 0.0698097i | ||||
\(125\) | −236.934 | − | 1495.94i | −0.169536 | − | 1.07041i | ||||
\(126\) | 965.426 | + | 205.208i | 0.682595 | + | 0.145090i | ||||
\(127\) | 122.139 | − | 135.649i | 0.0853394 | − | 0.0947790i | −0.698963 | − | 0.715158i | \(-0.746355\pi\) |
0.784302 | + | 0.620379i | \(0.213021\pi\) | |||||||
\(128\) | 405.380 | + | 500.603i | 0.279929 | + | 0.345684i | ||||
\(129\) | 105.370 | − | 76.5555i | 0.0719169 | − | 0.0522507i | ||||
\(130\) | −875.858 | − | 446.116i | −0.590906 | − | 0.300977i | ||||
\(131\) | − | 988.948i | − | 0.659579i | −0.944055 | − | 0.329789i | \(-0.893022\pi\) | ||
0.944055 | − | 0.329789i | \(-0.106978\pi\) | |||||||
\(132\) | 46.1456 | + | 283.864i | 0.0304277 | + | 0.187176i | ||||
\(133\) | −9.88314 | − | 17.1181i | −0.00644344 | − | 0.0111604i | ||||
\(134\) | 440.172 | + | 488.861i | 0.283769 | + | 0.315158i | ||||
\(135\) | −202.471 | + | 1278.35i | −0.129081 | + | 0.814984i | ||||
\(136\) | 751.341 | − | 1957.31i | 0.473728 | − | 1.23410i | ||||
\(137\) | −544.567 | − | 838.560i | −0.339602 | − | 0.522942i | 0.627068 | − | 0.778964i | \(-0.284255\pi\) |
−0.966671 | + | 0.256022i | \(0.917588\pi\) | |||||||
\(138\) | −1611.20 | − | 820.950i | −0.993876 | − | 0.506405i | ||||
\(139\) | 97.3558 | + | 218.665i | 0.0594073 | + | 0.133431i | 0.940810 | − | 0.338935i | \(-0.110067\pi\) |
−0.881402 | + | 0.472366i | \(0.843400\pi\) | |||||||
\(140\) | −524.222 | − | 233.399i | −0.316463 | − | 0.140898i | ||||
\(141\) | 890.509 | + | 578.304i | 0.531875 | + | 0.345404i | ||||
\(142\) | −1759.39 | −1.03975 | ||||||||
\(143\) | 1265.97 | − | 1149.58i | 0.740318 | − | 0.672256i | ||||
\(144\) | −546.667 | −0.316358 | ||||||||
\(145\) | −1064.89 | − | 691.545i | −0.609889 | − | 0.396067i | ||||
\(146\) | −204.263 | − | 90.9439i | −0.115787 | − | 0.0515519i | ||||
\(147\) | 1035.82 | + | 2326.48i | 0.581174 | + | 1.30534i | ||||
\(148\) | −449.652 | − | 229.109i | −0.249738 | − | 0.127248i | ||||
\(149\) | 1308.26 | + | 2014.55i | 0.719310 | + | 1.10764i | 0.989458 | + | 0.144822i | \(0.0462609\pi\) |
−0.270147 | + | 0.962819i | \(0.587072\pi\) | |||||||
\(150\) | 166.710 | − | 434.294i | 0.0907453 | − | 0.236399i | ||||
\(151\) | −128.902 | + | 813.858i | −0.0694697 | + | 0.438615i | 0.928298 | + | 0.371837i | \(0.121272\pi\) |
−0.997768 | + | 0.0667779i | \(0.978728\pi\) | |||||||
\(152\) | 10.1724 | + | 11.2976i | 0.00542822 | + | 0.00602865i | ||||
\(153\) | 543.916 | + | 942.091i | 0.287405 | + | 0.497801i | ||||
\(154\) | −1992.49 | + | 2008.78i | −1.04259 | + | 1.05112i | ||||
\(155\) | − | 512.634i | − | 0.265650i | ||||||
\(156\) | 201.281 | + | 309.850i | 0.103304 | + | 0.159025i | ||||
\(157\) | 2736.28 | − | 1988.03i | 1.39095 | − | 1.01058i | 0.395189 | − | 0.918600i | \(-0.370679\pi\) |
0.995760 | − | 0.0919846i | \(-0.0293211\pi\) | |||||||
\(158\) | 794.502 | + | 981.128i | 0.400046 | + | 0.494015i | ||||
\(159\) | −549.252 | + | 610.006i | −0.273953 | + | 0.304256i | ||||
\(160\) | 774.087 | + | 164.537i | 0.382481 | + | 0.0812988i | ||||
\(161\) | 981.964 | + | 6199.87i | 0.480681 | + | 3.03490i | ||||
\(162\) | −341.895 | + | 422.205i | −0.165814 | + | 0.204763i | ||||
\(163\) | 169.611 | − | 3236.36i | 0.0815026 | − | 1.55516i | −0.585849 | − | 0.810420i | \(-0.699239\pi\) |
0.667352 | − | 0.744743i | \(-0.267428\pi\) | |||||||
\(164\) | 161.415 | − | 161.415i | 0.0768562 | − | 0.0768562i | ||||
\(165\) | −886.534 | − | 791.724i | −0.418282 | − | 0.373549i | ||||
\(166\) | 831.956 | − | 480.330i | 0.388990 | − | 0.224583i | ||||
\(167\) | 1344.90 | − | 2070.96i | 0.623182 | − | 0.959616i | −0.376270 | − | 0.926510i | \(-0.622794\pi\) |
0.999452 | − | 0.0331058i | \(-0.0105398\pi\) | |||||||
\(168\) | −1737.08 | − | 2390.88i | −0.797729 | − | 1.09798i | ||||
\(169\) | 893.034 | − | 2007.31i | 0.406479 | − | 0.913660i | ||||
\(170\) | 553.903 | + | 1704.74i | 0.249897 | + | 0.769103i | ||||
\(171\) | −7.87717 | + | 0.412825i | −0.00352270 | + | 0.000184617i | ||||
\(172\) | 71.5376 | + | 7.51890i | 0.0317133 | + | 0.00333320i | ||||
\(173\) | 190.675 | + | 1814.15i | 0.0837964 | + | 0.797269i | 0.953032 | + | 0.302871i | \(0.0979450\pi\) |
−0.869235 | + | 0.494399i | \(0.835388\pi\) | |||||||
\(174\) | −614.125 | − | 1205.29i | −0.267567 | − | 0.525130i | ||||
\(175\) | −1559.80 | + | 417.947i | −0.673770 | + | 0.180536i | ||||
\(176\) | 848.140 | − | 1317.74i | 0.363244 | − | 0.564366i | ||||
\(177\) | −1797.95 | − | 1797.95i | −0.763517 | − | 0.763517i | ||||
\(178\) | −243.964 | + | 219.666i | −0.102730 | + | 0.0924983i | ||||
\(179\) | 1444.57 | − | 3244.55i | 0.603196 | − | 1.35480i | −0.311341 | − | 0.950298i | \(-0.600778\pi\) |
0.914537 | − | 0.404502i | \(-0.132555\pi\) | |||||||
\(180\) | −177.962 | + | 144.111i | −0.0736918 | + | 0.0596745i | ||||
\(181\) | 4129.03 | − | 1341.60i | 1.69563 | − | 0.550943i | 0.707789 | − | 0.706424i | \(-0.249693\pi\) |
0.987839 | + | 0.155482i | \(0.0496929\pi\) | |||||||
\(182\) | −1302.21 | + | 3393.81i | −0.530365 | + | 1.38223i | ||||
\(183\) | −125.135 | + | 172.234i | −0.0505479 | + | 0.0695731i | ||||
\(184\) | −1730.13 | − | 4507.14i | −0.693190 | − | 1.80582i | ||||
\(185\) | 2040.15 | − | 433.647i | 0.810782 | − | 0.172337i | ||||
\(186\) | 273.071 | − | 472.973i | 0.107648 | − | 0.186452i | ||||
\(187\) | −3114.78 | − | 150.520i | −1.21805 | − | 0.0588616i | ||||
\(188\) | 151.777 | + | 566.438i | 0.0588801 | + | 0.219743i | ||||
\(189\) | 4779.97 | + | 250.508i | 1.83964 | + | 0.0964114i | ||||
\(190\) | −12.8373 | − | 2.03324i | −0.00490168 | − | 0.000776349i | ||||
\(191\) | −1709.82 | + | 761.259i | −0.647738 | + | 0.288391i | −0.704188 | − | 0.710014i | \(-0.748689\pi\) |
0.0564497 | + | 0.998405i | \(0.482022\pi\) | |||||||
\(192\) | 1591.34 | + | 1432.85i | 0.598150 | + | 0.538577i | ||||
\(193\) | −69.7792 | − | 1331.47i | −0.0260250 | − | 0.496586i | −0.980283 | − | 0.197600i | \(-0.936685\pi\) |
0.954258 | − | 0.298985i | \(-0.0966482\pi\) | |||||||
\(194\) | 1351.03 | + | 981.581i | 0.499991 | + | 0.363265i | ||||
\(195\) | −1452.41 | − | 471.689i | −0.533379 | − | 0.173222i | ||||
\(196\) | −434.624 | + | 1337.63i | −0.158391 | + | 0.487476i | ||||
\(197\) | −660.237 | + | 2464.04i | −0.238781 | + | 0.891144i | 0.737626 | + | 0.675209i | \(0.235947\pi\) |
−0.976408 | + | 0.215935i | \(0.930720\pi\) | |||||||
\(198\) | 353.278 | + | 1072.40i | 0.126800 | + | 0.384908i | ||||
\(199\) | 3531.30 | + | 2038.80i | 1.25793 | + | 0.726264i | 0.972671 | − | 0.232188i | \(-0.0745884\pi\) |
0.285255 | + | 0.958452i | \(0.407922\pi\) | |||||||
\(200\) | 1106.60 | − | 563.843i | 0.391244 | − | 0.199349i | ||||
\(201\) | 794.246 | + | 643.167i | 0.278715 | + | 0.225699i | ||||
\(202\) | −950.935 | − | 365.030i | −0.331225 | − | 0.127146i | ||||
\(203\) | −2131.82 | + | 4183.92i | −0.737065 | + | 1.44657i | ||||
\(204\) | 140.091 | − | 659.075i | 0.0480800 | − | 0.226198i | ||||
\(205\) | −98.6179 | + | 938.287i | −0.0335989 | + | 0.319672i | ||||
\(206\) | 2914.27 | − | 1118.68i | 0.985662 | − | 0.378360i | ||||
\(207\) | 2382.37 | + | 774.080i | 0.799935 | + | 0.259915i | ||||
\(208\) | 314.678 | − | 1988.61i | 0.104899 | − | 0.662911i | ||||
\(209\) | 11.2261 | − | 19.6284i | 0.00371544 | − | 0.00649629i | ||||
\(210\) | 2440.55 | + | 653.944i | 0.801972 | + | 0.214888i | ||||
\(211\) | 1089.26 | + | 5124.56i | 0.355392 | + | 1.67199i | 0.685522 | + | 0.728052i | \(0.259574\pi\) |
−0.330130 | + | 0.943935i | \(0.607093\pi\) | |||||||
\(212\) | −450.855 | + | 47.3868i | −0.146061 | + | 0.0153516i | ||||
\(213\) | −2699.74 | + | 427.596i | −0.868465 | + | 0.137551i | ||||
\(214\) | 1746.10 | − | 1133.93i | 0.557760 | − | 0.362214i | ||||
\(215\) | −249.329 | + | 161.916i | −0.0790888 | + | 0.0513609i | ||||
\(216\) | −3636.03 | + | 575.891i | −1.14537 | + | 0.181409i | ||||
\(217\) | −1885.44 | + | 198.168i | −0.589825 | + | 0.0619931i | ||||
\(218\) | −768.504 | − | 3615.53i | −0.238760 | − | 1.12328i | ||||
\(219\) | −335.540 | − | 89.9077i | −0.103533 | − | 0.0277416i | ||||
\(220\) | −71.2755 | − | 652.563i | −0.0218427 | − | 0.199981i | ||||
\(221\) | −3740.15 | + | 1436.31i | −1.13841 | + | 0.437180i | ||||
\(222\) | 2113.30 | + | 686.654i | 0.638899 | + | 0.207591i | ||||
\(223\) | −168.262 | + | 64.5897i | −0.0505276 | + | 0.0193957i | −0.383501 | − | 0.923541i | \(-0.625282\pi\) |
0.332973 | + | 0.942936i | \(0.391948\pi\) | |||||||
\(224\) | 305.922 | − | 2910.65i | 0.0912513 | − | 0.868198i | ||||
\(225\) | −133.981 | + | 630.333i | −0.0396982 | + | 0.186765i | ||||
\(226\) | −2296.09 | + | 4506.33i | −0.675812 | + | 1.32636i | ||||
\(227\) | −609.995 | − | 234.155i | −0.178356 | − | 0.0684644i | 0.267551 | − | 0.963544i | \(-0.413786\pi\) |
−0.445907 | + | 0.895079i | \(0.647119\pi\) | |||||||
\(228\) | 3.79696 | + | 3.07472i | 0.00110290 | + | 0.000893107i | ||||
\(229\) | 1502.45 | − | 765.536i | 0.433557 | − | 0.220908i | −0.223570 | − | 0.974688i | \(-0.571771\pi\) |
0.657128 | + | 0.753779i | \(0.271771\pi\) | |||||||
\(230\) | 3574.57 | + | 2063.78i | 1.02478 | + | 0.591659i | ||||
\(231\) | −2569.22 | + | 3566.68i | −0.731783 | + | 1.01589i | ||||
\(232\) | 934.729 | − | 3488.46i | 0.264517 | − | 0.987192i | ||||
\(233\) | 1511.90 | − | 4653.16i | 0.425099 | − | 1.30832i | −0.477800 | − | 0.878469i | \(-0.658566\pi\) |
0.902899 | − | 0.429852i | \(-0.141434\pi\) | |||||||
\(234\) | 970.806 | + | 1077.88i | 0.271212 | + | 0.301126i | ||||
\(235\) | −1960.78 | − | 1424.59i | −0.544285 | − | 0.395446i | ||||
\(236\) | −73.4946 | − | 1402.36i | −0.0202716 | − | 0.386805i | ||||
\(237\) | 1457.60 | + | 1312.42i | 0.399498 | + | 0.359710i | ||||
\(238\) | 6055.82 | − | 2696.23i | 1.64933 | − | 0.734329i | ||||
\(239\) | −2067.87 | − | 327.519i | −0.559663 | − | 0.0886419i | −0.129807 | − | 0.991539i | \(-0.541436\pi\) |
−0.429856 | + | 0.902897i | \(0.641436\pi\) | |||||||
\(240\) | −1397.52 | − | 73.2407i | −0.375872 | − | 0.0196986i | ||||
\(241\) | 569.882 | + | 2126.83i | 0.152321 | + | 0.568469i | 0.999320 | + | 0.0368747i | \(0.0117402\pi\) |
−0.846999 | + | 0.531594i | \(0.821593\pi\) | |||||||
\(242\) | −3133.11 | − | 812.219i | −0.832248 | − | 0.215750i | ||||
\(243\) | 1604.16 | − | 2778.49i | 0.423486 | − | 0.733499i | ||||
\(244\) | −115.008 | + | 24.4456i | −0.0301746 | + | 0.00641382i | ||||
\(245\) | −2083.16 | − | 5426.80i | −0.543216 | − | 1.41513i | ||||
\(246\) | −590.797 | + | 813.162i | −0.153121 | + | 0.210753i | ||||
\(247\) | 3.03260 | − | 28.8925i | 0.000781212 | − | 0.00744285i | ||||
\(248\) | 1386.73 | − | 450.576i | 0.355070 | − | 0.115369i | ||||
\(249\) | 1159.88 | − | 939.251i | 0.295198 | − | 0.239047i | ||||
\(250\) | −1498.06 | + | 3364.71i | −0.378983 | + | 0.851211i | ||||
\(251\) | 3125.92 | − | 2814.59i | 0.786081 | − | 0.707791i | −0.174845 | − | 0.984596i | \(-0.555942\pi\) |
0.960926 | + | 0.276805i | \(0.0892758\pi\) | |||||||
\(252\) | 598.827 | + | 598.827i | 0.149693 | + | 0.149693i | ||||
\(253\) | −5562.12 | + | 4541.75i | −1.38216 | + | 1.12861i | ||||
\(254\) | −428.755 | + | 114.885i | −0.105915 | + | 0.0283799i | ||||
\(255\) | 1264.27 | + | 2481.26i | 0.310476 | + | 0.609344i | ||||
\(256\) | 310.234 | + | 2951.68i | 0.0757407 | + | 0.720624i | ||||
\(257\) | −4874.62 | − | 512.343i | −1.18315 | − | 0.124354i | −0.507551 | − | 0.861621i | \(-0.669449\pi\) |
−0.675601 | + | 0.737267i | \(0.736116\pi\) | |||||||
\(258\) | −316.289 | + | 16.5760i | −0.0763228 | + | 0.00399991i | ||||
\(259\) | −2383.59 | − | 7335.93i | −0.571849 | − | 1.75997i | ||||
\(260\) | −421.793 | − | 730.329i | −0.100610 | − | 0.174204i | ||||
\(261\) | 1101.44 | + | 1516.01i | 0.261217 | + | 0.359534i | ||||
\(262\) | −1309.80 | + | 2016.91i | −0.308853 | + | 0.475592i | ||||
\(263\) | 4699.95 | − | 2713.52i | 1.10195 | − | 0.636208i | 0.165214 | − | 0.986258i | \(-0.447169\pi\) |
0.936731 | + | 0.350049i | \(0.113835\pi\) | |||||||
\(264\) | 1362.49 | − | 3094.05i | 0.317633 | − | 0.721309i | ||||
\(265\) | 1324.86 | − | 1324.86i | 0.307114 | − | 0.307114i | ||||
\(266\) | −2.51563 | + | 48.0011i | −0.000579861 | + | 0.0110644i | ||||
\(267\) | −320.970 | + | 396.365i | −0.0735695 | + | 0.0908508i | ||||
\(268\) | 88.2971 | + | 557.486i | 0.0201254 | + | 0.127067i | ||||
\(269\) | −3221.72 | − | 684.798i | −0.730230 | − | 0.155215i | −0.172231 | − | 0.985057i | \(-0.555098\pi\) |
−0.557999 | + | 0.829841i | \(0.688431\pi\) | |||||||
\(270\) | 2106.02 | − | 2338.97i | 0.474697 | − | 0.527204i | ||||
\(271\) | 3086.13 | + | 3811.06i | 0.691769 | + | 0.854263i | 0.995126 | − | 0.0986138i | \(-0.0314408\pi\) |
−0.303357 | + | 0.952877i | \(0.598108\pi\) | |||||||
\(272\) | −2970.36 | + | 2158.09i | −0.662148 | + | 0.481079i | ||||
\(273\) | −1173.39 | + | 5524.21i | −0.260135 | + | 1.22469i | ||||
\(274\) | 2431.44i | 0.536091i | ||||||||
\(275\) | −1311.55 | − | 1300.91i | −0.287598 | − | 0.285264i | ||||
\(276\) | −775.786 | − | 1343.70i | −0.169191 | − | 0.293048i | ||||
\(277\) | −5361.52 | − | 5954.57i | −1.16297 | − | 1.29161i | −0.949182 | − | 0.314729i | \(-0.898086\pi\) |
−0.213788 | − | 0.976880i | \(-0.568580\pi\) | |||||||
\(278\) | 91.0547 | − | 574.897i | 0.0196442 | − | 0.124029i | ||||
\(279\) | −271.124 | + | 706.303i | −0.0581785 | + | 0.151560i | ||||
\(280\) | 3673.95 | + | 5657.38i | 0.784144 | + | 1.20748i | ||||
\(281\) | 1341.75 | + | 683.654i | 0.284847 | + | 0.145137i | 0.590576 | − | 0.806982i | \(-0.298900\pi\) |
−0.305730 | + | 0.952118i | \(0.598900\pi\) | |||||||
\(282\) | −1050.22 | − | 2358.84i | −0.221773 | − | 0.498110i | ||||
\(283\) | 1702.67 | + | 758.075i | 0.357643 | + | 0.159233i | 0.577690 | − | 0.816256i | \(-0.303954\pi\) |
−0.220047 | + | 0.975489i | \(0.570621\pi\) | |||||||
\(284\) | −1266.06 | − | 822.190i | −0.264531 | − | 0.171789i | ||||
\(285\) | −20.1927 | −0.00419690 | ||||||||
\(286\) | −4104.42 | + | 667.818i | −0.848599 | + | 0.138073i | ||||
\(287\) | 3489.09 | 0.717612 | ||||||||
\(288\) | −979.509 | − | 636.101i | −0.200410 | − | 0.130148i | ||||
\(289\) | 2186.28 | + | 973.394i | 0.444999 | + | 0.198126i | ||||
\(290\) | 1255.88 | + | 2820.74i | 0.254302 | + | 0.571171i | ||||
\(291\) | 2311.68 | + | 1177.86i | 0.465682 | + | 0.237277i | ||||
\(292\) | −104.489 | − | 160.899i | −0.0209410 | − | 0.0322463i | ||||
\(293\) | 2187.44 | − | 5698.47i | 0.436148 | − | 1.13621i | −0.522758 | − | 0.852481i | \(-0.675097\pi\) |
0.958906 | − | 0.283724i | \(-0.0915700\pi\) | |||||||
\(294\) | 968.775 | − | 6116.61i | 0.192177 | − | 1.21336i | ||||
\(295\) | 3883.54 | + | 4313.11i | 0.766469 | + | 0.851250i | ||||
\(296\) | 2966.23 | + | 5137.67i | 0.582462 | + | 1.00885i | ||||
\(297\) | 2505.73 | + | 4868.65i | 0.489553 | + | 0.951205i | ||||
\(298\) | − | 5841.28i | − | 1.13549i | ||||||
\(299\) | −4187.24 | + | 8220.80i | −0.809881 | + | 1.59004i | ||||
\(300\) | 322.917 | − | 234.613i | 0.0621455 | − | 0.0451513i | ||||
\(301\) | 691.902 | + | 854.427i | 0.132493 | + | 0.163616i | ||||
\(302\) | 1340.79 | − | 1489.10i | 0.255476 | − | 0.283735i | ||||
\(303\) | −1547.90 | − | 329.017i | −0.293481 | − | 0.0623813i | ||||
\(304\) | −4.16473 | − | 26.2951i | −0.000785736 | − | 0.00496094i | ||||
\(305\) | 305.813 | − | 377.647i | 0.0574124 | − | 0.0708985i | ||||
\(306\) | 138.447 | − | 2641.73i | 0.0258643 | − | 0.493521i | ||||
\(307\) | −1201.88 | + | 1201.88i | −0.223436 | + | 0.223436i | −0.809943 | − | 0.586508i | \(-0.800502\pi\) |
0.586508 | + | 0.809943i | \(0.300502\pi\) | |||||||
\(308\) | −2372.54 | + | 514.408i | −0.438922 | + | 0.0951659i | ||||
\(309\) | 4199.99 | − | 2424.87i | 0.773233 | − | 0.446426i | ||||
\(310\) | −678.950 | + | 1045.49i | −0.124393 | + | 0.191548i | ||||
\(311\) | −1949.28 | − | 2682.96i | −0.355414 | − | 0.489185i | 0.593450 | − | 0.804871i | \(-0.297765\pi\) |
−0.948864 | + | 0.315686i | \(0.897765\pi\) | |||||||
\(312\) | −0.613265 | − | 4343.50i | −0.000111280 | − | 0.788148i | ||||
\(313\) | −1862.72 | − | 5732.87i | −0.336381 | − | 1.03528i | −0.966038 | − | 0.258402i | \(-0.916804\pi\) |
0.629656 | − | 0.776874i | \(-0.283196\pi\) | |||||||
\(314\) | −8213.52 | + | 430.452i | −1.47616 | + | 0.0773625i | ||||
\(315\) | −3480.91 | − | 365.858i | −0.622625 | − | 0.0654405i | ||||
\(316\) | 113.230 | + | 1077.31i | 0.0201572 | + | 0.191783i | ||||
\(317\) | −842.852 | − | 1654.19i | −0.149335 | − | 0.293087i | 0.804205 | − | 0.594352i | \(-0.202591\pi\) |
−0.953541 | + | 0.301265i | \(0.902591\pi\) | |||||||
\(318\) | 1928.08 | − | 516.628i | 0.340005 | − | 0.0911040i | ||||
\(319\) | −5363.20 | + | 302.982i | −0.941321 | + | 0.0531779i | ||||
\(320\) | −3456.19 | − | 3456.19i | −0.603771 | − | 0.603771i | ||||
\(321\) | 2403.76 | − | 2164.35i | 0.417958 | − | 0.376331i | ||||
\(322\) | 6208.66 | − | 13944.9i | 1.07452 | − | 2.41341i | ||||
\(323\) | −41.1715 | + | 33.3400i | −0.00709239 | + | 0.00574331i | ||||
\(324\) | −443.332 | + | 144.047i | −0.0760172 | + | 0.0246995i | ||||
\(325\) | −2215.84 | − | 850.223i | −0.378193 | − | 0.145114i | ||||
\(326\) | −4632.26 | + | 6375.76i | −0.786985 | + | 1.08319i | ||||
\(327\) | −2057.96 | − | 5361.17i | −0.348029 | − | 0.906646i | ||||
\(328\) | −2624.85 | + | 557.928i | −0.441868 | + | 0.0939220i | ||||
\(329\) | −4481.59 | + | 7762.33i | −0.750996 | + | 1.30076i | ||||
\(330\) | 759.454 | + | 2788.84i | 0.126687 | + | 0.465213i | ||||
\(331\) | −2322.82 | − | 8668.89i | −0.385721 | − | 1.43953i | −0.837027 | − | 0.547162i | \(-0.815708\pi\) |
0.451305 | − | 0.892370i | \(-0.350959\pi\) | |||||||
\(332\) | 823.144 | + | 43.1392i | 0.136072 | + | 0.00713123i | ||||
\(333\) | −3040.25 | − | 481.528i | −0.500314 | − | 0.0792420i | ||||
\(334\) | −5485.70 | + | 2442.39i | −0.898695 | + | 0.400125i | ||||
\(335\) | −1733.60 | − | 1560.94i | −0.282736 | − | 0.254577i | ||||
\(336\) | 270.859 | + | 5168.30i | 0.0439779 | + | 0.839149i | ||||
\(337\) | −7149.54 | − | 5194.45i | −1.15567 | − | 0.839643i | −0.166445 | − | 0.986051i | \(-0.553229\pi\) |
−0.989224 | + | 0.146408i | \(0.953229\pi\) | |||||||
\(338\) | −4479.85 | + | 2911.05i | −0.720922 | + | 0.468462i | ||||
\(339\) | −2428.09 | + | 7472.88i | −0.389014 | + | 1.19726i | ||||
\(340\) | −398.061 | + | 1485.59i | −0.0634939 | + | 0.236962i | ||||
\(341\) | −1281.90 | − | 1749.36i | −0.203574 | − | 0.277809i | ||||
\(342\) | 16.6118 | + | 9.59085i | 0.00262651 | + | 0.00151641i | ||||
\(343\) | −9407.67 | + | 4793.45i | −1.48095 | + | 0.754582i | ||||
\(344\) | −657.146 | − | 532.146i | −0.102997 | − | 0.0834052i | ||||
\(345\) | 5986.67 | + | 2298.07i | 0.934236 | + | 0.358620i | ||||
\(346\) | 2013.85 | − | 3952.41i | 0.312906 | − | 0.614112i | ||||
\(347\) | −2581.95 | + | 12147.1i | −0.399443 | + | 1.87923i | 0.0721186 | + | 0.997396i | \(0.477024\pi\) |
−0.471561 | + | 0.881833i | \(0.656309\pi\) | |||||||
\(348\) | 121.324 | − | 1154.32i | 0.0186886 | − | 0.177811i | ||||
\(349\) | 6970.74 | − | 2675.82i | 1.06916 | − | 0.410410i | 0.240777 | − | 0.970580i | \(-0.422598\pi\) |
0.828378 | + | 0.560170i | \(0.189264\pi\) | |||||||
\(350\) | 3734.67 | + | 1213.47i | 0.570362 | + | 0.185322i | ||||
\(351\) | 5467.79 | + | 4426.45i | 0.831479 | + | 0.673124i | ||||
\(352\) | 3053.00 | − | 1374.21i | 0.462289 | − | 0.208084i | ||||
\(353\) | 11943.8 | + | 3200.32i | 1.80086 | + | 0.482538i | 0.994111 | − | 0.108364i | \(-0.0345611\pi\) |
0.806744 | + | 0.590901i | \(0.201228\pi\) | |||||||
\(354\) | 1285.56 | + | 6048.10i | 0.193014 | + | 0.908059i | ||||
\(355\) | 6204.96 | − | 652.168i | 0.927677 | − | 0.0975028i | ||||
\(356\) | −278.211 | + | 44.0643i | −0.0414190 | + | 0.00656013i | ||||
\(357\) | 8637.23 | − | 5609.08i | 1.28048 | − | 0.831552i | ||||
\(358\) | −7243.31 | + | 4703.86i | −1.06933 | + | 0.694433i | ||||
\(359\) | 2831.38 | − | 448.446i | 0.416252 | − | 0.0659278i | 0.0552041 | − | 0.998475i | \(-0.482419\pi\) |
0.361048 | + | 0.932547i | \(0.382419\pi\) | |||||||
\(360\) | 2677.19 | − | 281.384i | 0.391945 | − | 0.0411951i | ||||
\(361\) | 1425.99 | + | 6708.74i | 0.207900 | + | 0.978093i | ||||
\(362\) | −10197.8 | − | 2732.50i | −1.48062 | − | 0.396732i | ||||
\(363\) | −5005.08 | − | 484.868i | −0.723688 | − | 0.0701074i | ||||
\(364\) | −2523.06 | + | 1833.66i | −0.363309 | + | 0.264038i | ||||
\(365\) | 754.102 | + | 245.023i | 0.108141 | + | 0.0351372i | ||||
\(366\) | 483.319 | − | 185.529i | 0.0690259 | − | 0.0264966i | ||||
\(367\) | −1287.05 | + | 12245.4i | −0.183061 | + | 1.74171i | 0.388768 | + | 0.921336i | \(0.372901\pi\) |
−0.571829 | + | 0.820373i | \(0.693766\pi\) | |||||||
\(368\) | −1757.81 | + | 8269.84i | −0.249000 | + | 1.17145i | ||||
\(369\) | 632.121 | − | 1240.61i | 0.0891786 | − | 0.175023i | ||||
\(370\) | −4735.11 | − | 1817.64i | −0.665316 | − | 0.255391i | ||||
\(371\) | −5384.90 | − | 4360.61i | −0.753559 | − | 0.610220i | ||||
\(372\) | 417.531 | − | 212.743i | 0.0581935 | − | 0.0296510i | ||||
\(373\) | 3.15048 | + | 1.81893i | 0.000437334 | + | 0.000252495i | 0.500219 | − | 0.865899i | \(-0.333253\pi\) |
−0.499781 | + | 0.866152i | \(0.666586\pi\) | |||||||
\(374\) | 6153.09 | + | 4432.30i | 0.850718 | + | 0.612804i | ||||
\(375\) | −1480.99 | + | 5527.15i | −0.203942 | + | 0.761122i | ||||
\(376\) | 2130.25 | − | 6556.24i | 0.292179 | − | 0.899234i | ||||
\(377\) | −6148.81 | + | 3134.07i | −0.840000 | + | 0.428151i | ||||
\(378\) | −9416.72 | − | 6841.65i | −1.28133 | − | 0.930943i | ||||
\(379\) | 163.453 | + | 3118.87i | 0.0221531 | + | 0.422706i | 0.987084 | + | 0.160203i | \(0.0512148\pi\) |
−0.964931 | + | 0.262504i | \(0.915452\pi\) | |||||||
\(380\) | −8.28764 | − | 7.46222i | −0.00111881 | − | 0.00100738i | ||||
\(381\) | −629.994 | + | 280.491i | −0.0847128 | + | 0.0377166i | ||||
\(382\) | 4495.32 | + | 711.989i | 0.602096 | + | 0.0953626i | ||||
\(383\) | −5275.02 | − | 276.452i | −0.703762 | − | 0.0368826i | −0.302902 | − | 0.953022i | \(-0.597955\pi\) |
−0.400860 | + | 0.916139i | \(0.631289\pi\) | |||||||
\(384\) | −629.867 | − | 2350.70i | −0.0837051 | − | 0.312392i | ||||
\(385\) | 6282.44 | − | 7823.11i | 0.831644 | − | 1.03559i | ||||
\(386\) | −1621.13 | + | 2807.88i | −0.213765 | + | 0.370252i | ||||
\(387\) | 429.158 | − | 91.2204i | 0.0563704 | − | 0.0119819i | ||||
\(388\) | 513.498 | + | 1337.71i | 0.0671879 | + | 0.175030i | ||||
\(389\) | −3300.74 | + | 4543.09i | −0.430217 | + | 0.592143i | −0.968003 | − | 0.250939i | \(-0.919261\pi\) |
0.537786 | + | 0.843081i | \(0.319261\pi\) | |||||||
\(390\) | 2337.39 | + | 2885.60i | 0.303483 | + | 0.374662i | ||||
\(391\) | 16000.7 | − | 5198.93i | 2.06954 | − | 0.672433i | ||||
\(392\) | 12849.1 | − | 10405.0i | 1.65556 | − | 1.34064i | ||||
\(393\) | −1519.67 | + | 3413.23i | −0.195056 | + | 0.438103i | ||||
\(394\) | 4609.97 | − | 4150.84i | 0.589459 | − | 0.530752i | ||||
\(395\) | −3165.72 | − | 3165.72i | −0.403252 | − | 0.403252i | ||||
\(396\) | −246.928 | + | 936.792i | −0.0313348 | + | 0.118878i | ||||
\(397\) | 2844.30 | − | 762.128i | 0.359575 | − | 0.0963479i | −0.0745086 | − | 0.997220i | \(-0.523739\pi\) |
0.434084 | + | 0.900872i | \(0.357072\pi\) | |||||||
\(398\) | −4501.65 | − | 8835.00i | −0.566954 | − | 1.11271i | ||||
\(399\) | 7.80587 | + | 74.2679i | 0.000979404 | + | 0.00931841i | ||||
\(400\) | −2163.06 | − | 227.347i | −0.270383 | − | 0.0284184i | ||||
\(401\) | 12240.3 | − | 641.486i | 1.52432 | − | 0.0798860i | 0.728340 | − | 0.685216i | \(-0.240292\pi\) |
0.795975 | + | 0.605330i | \(0.206959\pi\) | |||||||
\(402\) | −767.991 | − | 2363.63i | −0.0952833 | − | 0.293252i | ||||
\(403\) | −2413.26 | − | 1392.84i | −0.298295 | − | 0.172165i | ||||
\(404\) | −513.712 | − | 707.064i | −0.0632627 | − | 0.0870736i | ||||
\(405\) | 1049.28 | − | 1615.76i | 0.128739 | − | 0.198241i | ||||
\(406\) | 9889.06 | − | 5709.45i | 1.20883 | − | 0.697919i | ||||
\(407\) | 5877.60 | − | 6581.44i | 0.715827 | − | 0.801548i | ||||
\(408\) | −5600.86 | + | 5600.86i | −0.679618 | + | 0.679618i | ||||
\(409\) | 465.907 | − | 8890.03i | 0.0563267 | − | 1.07478i | −0.813546 | − | 0.581501i | \(-0.802466\pi\) |
0.869873 | − | 0.493276i | \(-0.164201\pi\) | |||||||
\(410\) | 1443.83 | − | 1782.98i | 0.173916 | − | 0.214768i | ||||
\(411\) | 590.931 | + | 3730.99i | 0.0709209 | + | 0.447777i | ||||
\(412\) | 2619.89 | + | 556.876i | 0.313284 | + | 0.0665905i | ||||
\(413\) | 14362.1 | − | 15950.8i | 1.71117 | − | 1.90045i | ||||
\(414\) | −3833.51 | − | 4733.99i | −0.455089 | − | 0.561988i | ||||
\(415\) | −2756.07 | + | 2002.40i | −0.326001 | + | 0.236853i | ||||
\(416\) | 2877.78 | − | 3197.01i | 0.339170 | − | 0.376794i | ||||
\(417\) | − | 904.296i | − | 0.106196i | ||||||
\(418\) | −48.8916 | + | 25.1629i | −0.00572097 | + | 0.00294439i | ||||
\(419\) | 3431.90 | + | 5944.22i | 0.400141 | + | 0.693065i | 0.993743 | − | 0.111694i | \(-0.0356278\pi\) |
−0.593601 | + | 0.804759i | \(0.702294\pi\) | |||||||
\(420\) | 1450.63 | + | 1611.09i | 0.168532 | + | 0.187174i | ||||
\(421\) | −945.320 | + | 5968.52i | −0.109435 | + | 0.690945i | 0.870581 | + | 0.492025i | \(0.163743\pi\) |
−0.980016 | + | 0.198919i | \(0.936257\pi\) | |||||||
\(422\) | 4565.65 | − | 11893.9i | 0.526665 | − | 1.37201i | ||||
\(423\) | 1948.10 | + | 2999.81i | 0.223924 | + | 0.344813i | ||||
\(424\) | 4748.35 | + | 2419.41i | 0.543869 | + | 0.277115i | ||||
\(425\) | 1760.38 | + | 3953.88i | 0.200920 | + | 0.451274i | ||||
\(426\) | 6072.30 | + | 2703.56i | 0.690619 | + | 0.307484i | ||||
\(427\) | −1507.19 | − | 978.777i | −0.170815 | − | 0.110928i | ||||
\(428\) | 1786.40 | 0.201750 | ||||||||
\(429\) | −6135.83 | + | 2022.28i | −0.690537 | + | 0.227591i | ||||
\(430\) | 722.941 | 0.0810774 | ||||||||
\(431\) | 13353.5 | + | 8671.86i | 1.49238 | + | 0.969162i | 0.994811 | + | 0.101737i | \(0.0324401\pi\) |
0.497568 | + | 0.867425i | \(0.334227\pi\) | |||||||
\(432\) | 5889.53 | + | 2622.19i | 0.655926 | + | 0.292037i | ||||
\(433\) | 2876.71 | + | 6461.19i | 0.319274 | + | 0.717101i | 0.999879 | − | 0.0155494i | \(-0.00494971\pi\) |
−0.680605 | + | 0.732650i | \(0.738283\pi\) | |||||||
\(434\) | 4107.72 | + | 2092.99i | 0.454325 | + | 0.231490i | ||||
\(435\) | 2612.66 | + | 4023.14i | 0.287971 | + | 0.443436i | ||||
\(436\) | 1136.58 | − | 2960.88i | 0.124844 | − | 0.325231i | ||||
\(437\) | −19.0839 | + | 120.491i | −0.00208904 | + | 0.0131896i | ||||
\(438\) | 565.240 | + | 627.763i | 0.0616626 | + | 0.0684833i | ||||
\(439\) | −5181.15 | − | 8974.02i | −0.563287 | − | 0.975641i | −0.997207 | − | 0.0746898i | \(-0.976203\pi\) |
0.433920 | − | 0.900951i | \(-0.357130\pi\) | |||||||
\(440\) | −3475.32 | + | 6889.93i | −0.376544 | + | 0.746510i | ||||
\(441\) | 8578.76i | 0.926332i | ||||||||
\(442\) | 9530.14 | + | 2024.29i | 1.02557 | + | 0.217840i | ||||
\(443\) | −8523.75 | + | 6192.87i | −0.914166 | + | 0.664181i | −0.942065 | − | 0.335430i | \(-0.891118\pi\) |
0.0278987 | + | 0.999611i | \(0.491118\pi\) | |||||||
\(444\) | 1199.86 | + | 1481.70i | 0.128249 | + | 0.158375i | ||||
\(445\) | 778.982 | − | 865.147i | 0.0829826 | − | 0.0921615i | ||||
\(446\) | 428.706 | + | 91.1244i | 0.0455153 | + | 0.00967458i | ||||
\(447\) | −1419.65 | − | 8963.31i | −0.150217 | − | 0.948434i | ||||
\(448\) | −11375.6 | + | 14047.7i | −1.19966 | + | 1.48146i | ||||
\(449\) | 681.972 | − | 13012.8i | 0.0716799 | − | 1.36773i | −0.691887 | − | 0.722005i | \(-0.743221\pi\) |
0.763567 | − | 0.645728i | \(-0.223446\pi\) | |||||||
\(450\) | 1108.08 | − | 1108.08i | 0.116079 | − | 0.116079i | ||||
\(451\) | 2009.76 | + | 3448.50i | 0.209836 | + | 0.360052i | ||||
\(452\) | −3758.15 | + | 2169.77i | −0.391081 | + | 0.225791i | ||||
\(453\) | 1695.51 | − | 2610.85i | 0.175854 | − | 0.270791i | ||||
\(454\) | 933.931 | + | 1285.45i | 0.0965452 | + | 0.132883i | ||||
\(455\) | 3334.60 | − | 12451.9i | 0.343579 | − | 1.28298i | ||||
\(456\) | −17.7483 | − | 54.6235i | −0.00182267 | − | 0.00560961i | ||||
\(457\) | −1210.83 | + | 63.4569i | −0.123939 | + | 0.00649538i | −0.114205 | − | 0.993457i | \(-0.536432\pi\) |
−0.00973452 | + | 0.999953i | \(0.503099\pi\) | |||||||
\(458\) | −4078.07 | − | 428.622i | −0.416060 | − | 0.0437297i | ||||
\(459\) | −1340.99 | − | 12758.6i | −0.136366 | − | 1.29743i | ||||
\(460\) | 1607.84 | + | 3155.56i | 0.162969 | + | 0.319845i | ||||
\(461\) | 1937.33 | − | 519.107i | 0.195728 | − | 0.0524452i | −0.159623 | − | 0.987178i | \(-0.551028\pi\) |
0.355351 | + | 0.934733i | \(0.384361\pi\) | |||||||
\(462\) | 9963.61 | − | 3871.31i | 1.00335 | − | 0.389847i | ||||
\(463\) | 813.945 | + | 813.945i | 0.0817003 | + | 0.0817003i | 0.746776 | − | 0.665076i | \(-0.231601\pi\) |
−0.665076 | + | 0.746776i | \(0.731601\pi\) | |||||||
\(464\) | −4700.09 | + | 4231.98i | −0.470250 | + | 0.423415i | ||||
\(465\) | −787.739 | + | 1769.29i | −0.0785603 | + | 0.176449i | ||||
\(466\) | −9246.25 | + | 7487.47i | −0.919151 | + | 0.744314i | ||||
\(467\) | −5824.54 | + | 1892.51i | −0.577147 | + | 0.187526i | −0.583022 | − | 0.812456i | \(-0.698130\pi\) |
0.00587502 | + | 0.999983i | \(0.498130\pi\) | |||||||
\(468\) | 194.883 | + | 1229.32i | 0.0192489 | + | 0.121422i | ||||
\(469\) | −5070.91 | + | 6979.50i | −0.499259 | + | 0.687172i | ||||
\(470\) | 2112.13 | + | 5502.29i | 0.207288 | + | 0.540004i | ||||
\(471\) | −12498.8 | + | 2656.71i | −1.22275 | + | 0.259904i | ||||
\(472\) | −8254.00 | + | 14296.4i | −0.804918 | + | 1.39416i | ||||
\(473\) | −445.942 | + | 1176.01i | −0.0433497 | + | 0.114319i | ||||
\(474\) | −1234.47 | − | 4607.11i | −0.119623 | − | 0.446438i | ||||
\(475\) | −31.3402 | − | 1.64247i | −0.00302734 | − | 0.000158656i | ||||
\(476\) | 5617.78 | + | 889.769i | 0.540947 | + | 0.0856775i | ||||
\(477\) | −2526.07 | + | 1124.68i | −0.242476 | + | 0.107957i | ||||
\(478\) | 3783.54 | + | 3406.71i | 0.362040 | + | 0.325982i | ||||
\(479\) | −916.161 | − | 17481.4i | −0.0873914 | − | 1.66753i | −0.593332 | − | 0.804958i | \(-0.702188\pi\) |
0.505941 | − | 0.862568i | \(-0.331146\pi\) | |||||||
\(480\) | −2418.83 | − | 1757.38i | −0.230008 | − | 0.167110i | ||||
\(481\) | 3501.72 | − | 10782.4i | 0.331943 | − | 1.02211i | ||||
\(482\) | 1654.60 | − | 5092.33i | 0.156359 | − | 0.481222i | ||||
\(483\) | 6137.92 | − | 22907.0i | 0.578229 | − | 2.15798i | ||||
\(484\) | −1875.04 | − | 2048.63i | −0.176093 | − | 0.192396i | ||||
\(485\) | −5128.63 | − | 2961.02i | −0.480163 | − | 0.277222i | ||||
\(486\) | −6951.54 | + | 3541.98i | −0.648823 | + | 0.330592i | ||||
\(487\) | 8329.33 | + | 6744.96i | 0.775027 | + | 0.627604i | 0.933015 | − | 0.359837i | \(-0.117168\pi\) |
−0.157989 | + | 0.987441i | \(0.550501\pi\) | |||||||
\(488\) | 1290.37 | + | 495.326i | 0.119697 | + | 0.0459474i | ||||
\(489\) | −5558.55 | + | 10909.3i | −0.514041 | + | 1.00886i | ||||
\(490\) | −2938.95 | + | 13826.7i | −0.270956 | + | 1.27475i | ||||
\(491\) | −2118.77 | + | 20158.8i | −0.194743 | + | 1.85286i | 0.264296 | + | 0.964442i | \(0.414861\pi\) |
−0.459039 | + | 0.888416i | \(0.651806\pi\) | |||||||
\(492\) | −805.144 | + | 309.066i | −0.0737778 | + | 0.0283206i | ||||
\(493\) | 11969.6 | + | 3889.15i | 1.09347 | + | 0.355291i | ||||
\(494\) | −44.4510 | + | 54.9082i | −0.00404847 | + | 0.00500089i | ||||
\(495\) | −1643.45 | − | 3651.15i | −0.149227 | − | 0.331529i | ||||
\(496\) | −2466.45 | − | 660.883i | −0.223280 | − | 0.0598277i | ||||
\(497\) | −4797.28 | − | 22569.4i | −0.432973 | − | 2.03698i | ||||
\(498\) | −3609.49 | + | 379.372i | −0.324789 | + | 0.0341367i | ||||
\(499\) | 6597.48 | − | 1044.94i | 0.591871 | − | 0.0937431i | 0.146688 | − | 0.989183i | \(-0.453139\pi\) |
0.445183 | + | 0.895440i | \(0.353139\pi\) | |||||||
\(500\) | −2650.39 | + | 1721.19i | −0.237058 | + | 0.153948i | ||||
\(501\) | −7824.09 | + | 5081.02i | −0.697714 | + | 0.453101i | ||||
\(502\) | −10102.9 | + | 1600.14i | −0.898235 | + | 0.142267i | ||||
\(503\) | −2061.10 | + | 216.631i | −0.182704 | + | 0.0192029i | −0.195438 | − | 0.980716i | \(-0.562613\pi\) |
0.0127347 | + | 0.999919i | \(0.495946\pi\) | |||||||
\(504\) | −2069.83 | − | 9737.79i | −0.182932 | − | 0.860626i | ||||
\(505\) | 3489.04 | + | 934.886i | 0.307446 | + | 0.0823800i | ||||
\(506\) | 17358.9 | − | 1896.01i | 1.52509 | − | 0.166577i | ||||
\(507\) | −6166.73 | + | 5555.70i | −0.540185 | + | 0.486661i | ||||
\(508\) | −362.222 | − | 117.693i | −0.0316358 | − | 0.0102791i | ||||
\(509\) | −10777.4 | + | 4137.05i | −0.938504 | + | 0.360258i | −0.779060 | − | 0.626949i | \(-0.784303\pi\) |
−0.159444 | + | 0.987207i | \(0.550970\pi\) | |||||||
\(510\) | 707.861 | − | 6734.85i | 0.0614600 | − | 0.584753i | ||||
\(511\) | 609.669 | − | 2868.27i | 0.0527792 | − | 0.248307i | ||||
\(512\) | 5616.12 | − | 11022.3i | 0.484765 | − | 0.951405i | ||||
\(513\) | 86.8450 | + | 33.3367i | 0.00747427 | + | 0.00286910i | ||||
\(514\) | 9262.97 | + | 7501.00i | 0.794887 | + | 0.643687i | ||||
\(515\) | −9863.29 | + | 5025.60i | −0.843939 | + | 0.430008i | ||||
\(516\) | −235.349 | − | 135.879i | −0.0200788 | − | 0.0115925i | ||||
\(517\) | −10253.5 | + | 41.7624i | −0.872238 | + | 0.00355262i | ||||
\(518\) | −4854.74 | + | 18118.1i | −0.411786 | + | 1.53681i | ||||
\(519\) | 2129.63 | − | 6554.32i | 0.180116 | − | 0.554341i | ||||
\(520\) | −517.478 | + | 9900.81i | −0.0436402 | + | 0.834960i | ||||
\(521\) | −7821.70 | − | 5682.79i | −0.657725 | − | 0.477865i | 0.208169 | − | 0.978093i | \(-0.433250\pi\) |
−0.865894 | + | 0.500228i | \(0.833250\pi\) | |||||||
\(522\) | −238.487 | − | 4550.61i | −0.0199968 | − | 0.381561i | ||||
\(523\) | −14752.7 | − | 13283.4i | −1.23344 | − | 1.11059i | −0.990057 | − | 0.140664i | \(-0.955076\pi\) |
−0.243383 | − | 0.969930i | \(-0.578257\pi\) | |||||||
\(524\) | −1885.07 | + | 839.287i | −0.157156 | + | 0.0699703i | ||||
\(525\) | 6025.69 | + | 954.375i | 0.500919 | + | 0.0793378i | ||||
\(526\) | −13179.2 | − | 690.692i | −1.09247 | − | 0.0572540i | ||||
\(527\) | 1315.12 | + | 4908.08i | 0.108705 | + | 0.405691i | ||||
\(528\) | −4952.15 | + | 3244.72i | −0.408172 | + | 0.267440i | ||||
\(529\) | 13287.1 | − | 23014.0i | 1.09206 | − | 1.89151i | ||||
\(530\) | −4456.66 | + | 947.293i | −0.365255 | + | 0.0776373i | ||||
\(531\) | −3069.57 | − | 7996.51i | −0.250863 | − | 0.653519i | ||||
\(532\) | −24.2419 | + | 33.3662i | −0.00197560 | + | 0.00271918i | ||||
\(533\) | 4149.10 | + | 3013.60i | 0.337181 | + | 0.244903i | ||||
\(534\) | 1179.56 | − | 383.263i | 0.0955892 | − | 0.0310588i | ||||
\(535\) | −5737.77 | + | 4646.35i | −0.463674 | + | 0.375476i | ||||
\(536\) | 2698.78 | − | 6061.55i | 0.217480 | − | 0.488468i | ||||
\(537\) | −9971.48 | + | 8978.36i | −0.801306 | + | 0.721499i | ||||
\(538\) | 5663.57 | + | 5663.57i | 0.453855 | + | 0.453855i | ||||
\(539\) | −20679.1 | − | 13309.7i | −1.65253 | − | 1.06362i | ||||
\(540\) | 2608.54 | − | 698.955i | 0.207877 | − | 0.0557005i | ||||
\(541\) | 3167.38 | + | 6216.34i | 0.251712 | + | 0.494013i | 0.981940 | − | 0.189190i | \(-0.0605862\pi\) |
−0.730228 | + | 0.683203i | \(0.760586\pi\) | |||||||
\(542\) | −1246.52 | − | 11859.8i | −0.0987871 | − | 0.939896i | ||||
\(543\) | −16312.4 | − | 1714.50i | −1.28919 | − | 0.135500i | ||||
\(544\) | −7833.39 | + | 410.531i | −0.617378 | + | 0.0323554i | ||||
\(545\) | 4050.54 | + | 12466.3i | 0.318360 | + | 0.979812i | ||||
\(546\) | 9709.53 | − | 9712.27i | 0.761043 | − | 0.761258i | ||||
\(547\) | 13666.5 | + | 18810.3i | 1.06826 | + | 1.47033i | 0.871828 | + | 0.489812i | \(0.162935\pi\) |
0.196429 | + | 0.980518i | \(0.437065\pi\) | |||||||
\(548\) | −1136.25 | + | 1749.68i | −0.0885736 | + | 0.136391i | ||||
\(549\) | −621.079 | + | 358.580i | −0.0482823 | + | 0.0278758i | ||||
\(550\) | 951.870 | + | 4390.19i | 0.0737961 | + | 0.340361i | ||||
\(551\) | −64.5298 | + | 64.5298i | −0.00498922 | + | 0.00498922i | ||||
\(552\) | −954.578 | + | 18214.4i | −0.0736043 | + | 1.40445i | ||||
\(553\) | −10419.6 | + | 12867.1i | −0.801239 | + | 0.989448i | ||||
\(554\) | 3048.11 | + | 19245.0i | 0.233758 | + | 1.47589i | ||||
\(555\) | −7707.68 | − | 1638.32i | −0.589500 | − | 0.125302i | ||||
\(556\) | 334.182 | − | 371.147i | 0.0254901 | − | 0.0283096i | ||||
\(557\) | 2620.27 | + | 3235.77i | 0.199326 | + | 0.246147i | 0.867002 | − | 0.498305i | \(-0.166044\pi\) |
−0.667676 | + | 0.744452i | \(0.732711\pi\) | |||||||
\(558\) | 1488.40 | − | 1081.38i | 0.112919 | − | 0.0820405i | ||||
\(559\) | 84.7969 | + | 1613.66i | 0.00641597 | + | 0.122094i | ||||
\(560\) | − | 11813.2i | − | 0.891425i | ||||||
\(561\) | 10519.0 | + | 5305.83i | 0.791643 | + | 0.399309i | ||||
\(562\) | −1830.97 | − | 3171.33i | −0.137428 | − | 0.238033i | ||||
\(563\) | 1557.08 | + | 1729.31i | 0.116560 | + | 0.129452i | 0.798600 | − | 0.601862i | \(-0.205574\pi\) |
−0.682041 | + | 0.731314i | \(0.738907\pi\) | |||||||
\(564\) | 346.580 | − | 2188.22i | 0.0258752 | − | 0.163370i | ||||
\(565\) | 6427.39 | − | 16743.9i | 0.478588 | − | 1.24676i | ||||
\(566\) | −2468.48 | − | 3801.12i | −0.183318 | − | 0.282285i | ||||
\(567\) | −6348.29 | − | 3234.62i | −0.470200 | − | 0.239579i | ||||
\(568\) | 7217.99 | + | 16211.9i | 0.533204 | + | 1.19760i | ||||
\(569\) | −3593.11 | − | 1599.76i | −0.264730 | − | 0.117865i | 0.270080 | − | 0.962838i | \(-0.412950\pi\) |
−0.534809 | + | 0.844973i | \(0.679617\pi\) | |||||||
\(570\) | 41.1821 | + | 26.7440i | 0.00302619 | + | 0.00196523i | ||||
\(571\) | −4990.70 | −0.365769 | −0.182885 | − | 0.983134i | \(-0.558543\pi\) | ||||
−0.182885 | + | 0.983134i | \(0.558543\pi\) | |||||||
\(572\) | −3265.64 | − | 1437.50i | −0.238712 | − | 0.105078i | ||||
\(573\) | 7071.00 | 0.515524 | ||||||||
\(574\) | −7115.83 | − | 4621.07i | −0.517437 | − | 0.336028i | ||||
\(575\) | 9104.70 | + | 4053.67i | 0.660334 | + | 0.294000i | ||||
\(576\) | 2933.98 | + | 6589.83i | 0.212238 | + | 0.476695i | ||||
\(577\) | −16937.4 | − | 8630.04i | −1.22203 | − | 0.622657i | −0.280590 | − | 0.959828i | \(-0.590530\pi\) |
−0.941444 | + | 0.337171i | \(0.890530\pi\) | |||||||
\(578\) | −3169.61 | − | 4880.77i | −0.228094 | − | 0.351234i | ||||
\(579\) | −1805.16 | + | 4702.61i | −0.129568 | + | 0.337537i | ||||
\(580\) | −414.446 | + | 2616.71i | −0.0296706 | + | 0.187333i | ||||
\(581\) | 8430.15 | + | 9362.63i | 0.601965 | + | 0.668549i | ||||
\(582\) | −3154.56 | − | 5463.86i | −0.224675 | − | 0.389148i | ||||
\(583\) | 1208.10 | − | 7834.02i | 0.0858222 | − | 0.556521i | ||||
\(584\) | 2255.29i | 0.159802i | ||||||||
\(585\) | −3823.36 | − | 3441.60i | −0.270216 | − | 0.243235i | ||||
\(586\) | −12008.4 | + | 8724.62i | −0.846524 | + | 0.615036i | ||||
\(587\) | 13437.7 | + | 16594.2i | 0.944863 | + | 1.16681i | 0.985847 | + | 0.167649i | \(0.0536174\pi\) |
−0.0409839 | + | 0.999160i | \(0.513049\pi\) | |||||||
\(588\) | 3555.52 | − | 3948.81i | 0.249366 | − | 0.276949i | ||||
\(589\) | −36.0392 | − | 7.66038i | −0.00252117 | − | 0.000535892i | ||||
\(590\) | −2207.85 | − | 13939.8i | −0.154061 | − | 0.972702i | ||||
\(591\) | 6065.09 | − | 7489.76i | 0.422139 | − | 0.521298i | ||||
\(592\) | 543.724 | − | 10374.9i | 0.0377482 | − | 0.720278i | ||||
\(593\) | 7335.84 | − | 7335.84i | 0.508005 | − | 0.508005i | −0.405909 | − | 0.913914i | \(-0.633045\pi\) |
0.913914 | + | 0.405909i | \(0.133045\pi\) | |||||||
\(594\) | 1337.89 | − | 13248.0i | 0.0924148 | − | 0.915107i | ||||
\(595\) | −20358.1 | + | 11753.8i | −1.40269 | + | 0.809843i | ||||
\(596\) | 2729.73 | − | 4203.41i | 0.187607 | − | 0.288890i | ||||
\(597\) | −9054.92 | − | 12463.0i | −0.620759 | − | 0.854401i | ||||
\(598\) | 19427.6 | − | 11220.2i | 1.32852 | − | 0.767269i | ||||
\(599\) | −5779.16 | − | 17786.4i | −0.394207 | − | 1.21324i | −0.929577 | − | 0.368627i | \(-0.879828\pi\) |
0.535370 | − | 0.844617i | \(-0.320172\pi\) | |||||||
\(600\) | −4685.73 | + | 245.569i | −0.318824 | + | 0.0167088i | ||||
\(601\) | 5585.81 | + | 587.092i | 0.379118 | + | 0.0398469i | 0.292171 | − | 0.956366i | \(-0.405622\pi\) |
0.0869468 | + | 0.996213i | \(0.472289\pi\) | |||||||
\(602\) | −279.466 | − | 2658.94i | −0.0189205 | − | 0.180017i | ||||
\(603\) | 1562.98 | + | 3067.53i | 0.105555 | + | 0.207163i | ||||
\(604\) | 1660.72 | − | 444.988i | 0.111877 | − | 0.0299773i | ||||
\(605\) | 11350.9 | + | 1703.14i | 0.762773 | + | 0.114450i | ||||
\(606\) | 2721.11 | + | 2721.11i | 0.182405 | + | 0.182405i | ||||
\(607\) | −6207.33 | + | 5589.11i | −0.415071 | + | 0.373731i | −0.850044 | − | 0.526712i | \(-0.823425\pi\) |
0.434973 | + | 0.900443i | \(0.356758\pi\) | |||||||
\(608\) | 23.1346 | − | 51.9612i | 0.00154314 | − | 0.00346596i | ||||
\(609\) | 13786.9 | − | 11164.4i | 0.917363 | − | 0.742866i | ||||
\(610\) | −1123.86 | + | 365.164i | −0.0745962 | + | 0.0242378i | ||||
\(611\) | −12033.8 | + | 5359.84i | −0.796786 | + | 0.354887i | ||||
\(612\) | 1334.15 | − | 1836.30i | 0.0881206 | − | 0.121288i | ||||
\(613\) | −1469.78 | − | 3828.90i | −0.0968414 | − | 0.252280i | 0.876599 | − | 0.481222i | \(-0.159807\pi\) |
−0.973440 | + | 0.228942i | \(0.926474\pi\) | |||||||
\(614\) | 4042.97 | − | 859.360i | 0.265735 | − | 0.0564836i | ||||
\(615\) | 1782.19 | − | 3086.84i | 0.116853 | − | 0.202396i | ||||
\(616\) | 26684.2 | + | 10118.6i | 1.74535 | + | 0.661835i | ||||
\(617\) | 878.801 | + | 3279.73i | 0.0573407 | + | 0.213998i | 0.988652 | − | 0.150227i | \(-0.0480004\pi\) |
−0.931311 | + | 0.364225i | \(0.881334\pi\) | |||||||
\(618\) | −11777.2 | − | 617.219i | −0.766586 | − | 0.0401751i | ||||
\(619\) | 27400.2 | + | 4339.76i | 1.77917 | + | 0.281793i | 0.957555 | − | 0.288249i | \(-0.0930732\pi\) |
0.821615 | + | 0.570042i | \(0.193073\pi\) | |||||||
\(620\) | −977.150 | + | 435.055i | −0.0632956 | + | 0.0281810i | ||||
\(621\) | −21953.6 | − | 19767.1i | −1.41862 | − | 1.27734i | ||||
\(622\) | 422.063 | + | 8053.45i | 0.0272077 | + | 0.519154i | ||||
\(623\) | −3483.09 | − | 2530.62i | −0.223992 | − | 0.162740i | ||||
\(624\) | −4141.87 | + | 6379.90i | −0.265717 | + | 0.409295i | ||||
\(625\) | 2080.23 | − | 6402.30i | 0.133135 | − | 0.409747i | ||||
\(626\) | −3793.88 | + | 14159.0i | −0.242227 | + | 0.904003i | ||||
\(627\) | −68.9075 | + | 50.4943i | −0.00438900 | + | 0.00321619i | ||||
\(628\) | −6111.64 | − | 3528.55i | −0.388345 | − | 0.224211i | ||||
\(629\) | −18420.4 | + | 9385.65i | −1.16768 | + | 0.594961i | ||||
\(630\) | 6614.58 | + | 5356.38i | 0.418303 | + | 0.338735i | ||||
\(631\) | 19891.7 | + | 7635.72i | 1.25496 | + | 0.481732i | 0.892829 | − | 0.450396i | \(-0.148717\pi\) |
0.362127 | + | 0.932129i | \(0.382051\pi\) | |||||||
\(632\) | 5781.11 | − | 11346.1i | 0.363861 | − | 0.714118i | ||||
\(633\) | 4115.22 | − | 19360.6i | 0.258397 | − | 1.21566i | ||||
\(634\) | −471.911 | + | 4489.94i | −0.0295615 | + | 0.281259i | ||||
\(635\) | 1469.54 | − | 564.103i | 0.0918376 | − | 0.0352532i | ||||
\(636\) | 1628.89 | + | 529.257i | 0.101556 | + | 0.0329975i | ||||
\(637\) | −31207.0 | − | 4938.19i | −1.94108 | − | 0.307156i | ||||
\(638\) | 11339.2 | + | 6485.28i | 0.703644 | + | 0.402437i | ||||
\(639\) | −8894.07 | − | 2383.16i | −0.550617 | − | 0.147537i | ||||
\(640\) | 1154.93 | + | 5433.51i | 0.0713321 | + | 0.335591i | ||||
\(641\) | −8680.07 | + | 912.312i | −0.534855 | + | 0.0562155i | −0.368106 | − | 0.929784i | \(-0.619994\pi\) |
−0.166749 | + | 0.985999i | \(0.553327\pi\) | |||||||
\(642\) | −7768.88 | + | 1230.47i | −0.477591 | + | 0.0756430i | ||||
\(643\) | −4122.36 | + | 2677.09i | −0.252830 | + | 0.164190i | −0.664831 | − | 0.746993i | \(-0.731497\pi\) |
0.412001 | + | 0.911183i | \(0.364830\pi\) | |||||||
\(644\) | 10984.4 | − | 7133.38i | 0.672124 | − | 0.436482i | ||||
\(645\) | 1109.34 | − | 175.701i | 0.0677210 | − | 0.0107260i | ||||
\(646\) | 128.124 | − | 13.4663i | 0.00780335 | − | 0.000820165i | ||||
\(647\) | 968.904 | + | 4558.34i | 0.0588741 | + | 0.276981i | 0.997731 | − | 0.0673267i | \(-0.0214470\pi\) |
−0.938857 | + | 0.344308i | \(0.888114\pi\) | |||||||
\(648\) | 5293.05 | + | 1418.27i | 0.320881 | + | 0.0859798i | ||||
\(649\) | 24037.9 | + | 5007.18i | 1.45389 | + | 0.302849i | ||||
\(650\) | 3393.03 | + | 4668.72i | 0.204747 | + | 0.281727i | ||||
\(651\) | 6811.88 | + | 2213.31i | 0.410105 | + | 0.133251i | ||||
\(652\) | −6312.89 | + | 2423.29i | −0.379190 | + | 0.145557i | ||||
\(653\) | −692.126 | + | 6585.14i | −0.0414778 | + | 0.394635i | 0.954012 | + | 0.299768i | \(0.0969092\pi\) |
−0.995490 | + | 0.0948668i | \(0.969757\pi\) | |||||||
\(654\) | −2903.41 | + | 13659.5i | −0.173597 | + | 0.816708i | ||||
\(655\) | 3871.73 | − | 7598.70i | 0.230964 | − | 0.453291i | ||||
\(656\) | 4387.27 | + | 1684.11i | 0.261119 | + | 0.100234i | ||||
\(657\) | −909.407 | − | 736.424i | −0.0540021 | − | 0.0437300i | ||||
\(658\) | 19420.7 | − | 9895.32i | 1.15060 | − | 0.586261i | ||||
\(659\) | 6713.45 | + | 3876.01i | 0.396842 | + | 0.229117i | 0.685121 | − | 0.728430i | \(-0.259750\pi\) |
−0.288278 | + | 0.957547i | \(0.593083\pi\) | |||||||
\(660\) | −756.763 | + | 2361.76i | −0.0446317 | + | 0.139290i | ||||
\(661\) | 587.862 | − | 2193.93i | 0.0345918 | − | 0.129098i | −0.946471 | − | 0.322790i | \(-0.895379\pi\) |
0.981063 | + | 0.193691i | \(0.0620460\pi\) | |||||||
\(662\) | −6744.09 | + | 20756.2i | −0.395946 | + | 1.21860i | ||||
\(663\) | 15115.7 | + | 790.043i | 0.885440 | + | 0.0462786i | ||||
\(664\) | −7839.14 | − | 5695.47i | −0.458159 | − | 0.332872i | ||||
\(665\) | −8.92093 | − | 170.221i | −0.000520209 | − | 0.00992618i | ||||
\(666\) | 5562.68 | + | 5008.66i | 0.323648 | + | 0.291414i | ||||
\(667\) | 26475.5 | − | 11787.6i | 1.53693 | − | 0.684287i | ||||
\(668\) | −5088.90 | − | 806.003i | −0.294754 | − | 0.0466844i | ||||
\(669\) | 679.987 | + | 35.6366i | 0.0392972 | + | 0.00205948i | ||||
\(670\) | 1468.23 | + | 5479.50i | 0.0846605 | + | 0.315957i | ||||
\(671\) | 99.2313 | − | 2053.44i | 0.00570906 | − | 0.118140i | ||||
\(672\) | −5528.51 | + | 9575.66i | −0.317361 | + | 0.549686i | ||||
\(673\) | 26490.1 | − | 5630.64i | 1.51726 | − | 0.322504i | 0.627387 | − | 0.778708i | \(-0.284125\pi\) |
0.889875 | + | 0.456204i | \(0.150791\pi\) | |||||||
\(674\) | 7701.43 | + | 20062.9i | 0.440130 | + | 1.14658i | ||||
\(675\) | 4466.96 | − | 6148.24i | 0.254716 | − | 0.350586i | ||||
\(676\) | −4584.09 | + | 1.29447i | −0.260816 | + | 7.36498e-5i | ||||
\(677\) | 2975.77 | − | 966.887i | 0.168934 | − | 0.0548900i | −0.223329 | − | 0.974743i | \(-0.571692\pi\) |
0.392263 | + | 0.919853i | \(0.371692\pi\) | |||||||
\(678\) | 14849.3 | − | 12024.7i | 0.841127 | − | 0.681131i | ||||
\(679\) | −8907.90 | + | 20007.5i | −0.503467 | + | 1.13080i | ||||
\(680\) | 13435.9 | − | 12097.7i | 0.757710 | − | 0.682246i | ||||
\(681\) | 1745.51 | + | 1745.51i | 0.0982201 | + | 0.0982201i | ||||
\(682\) | 297.464 | + | 5265.52i | 0.0167016 | + | 0.295641i | ||||
\(683\) | −6903.44 | + | 1849.77i | −0.386754 | + | 0.103630i | −0.446956 | − | 0.894556i | \(-0.647492\pi\) |
0.0602024 | + | 0.998186i | \(0.480825\pi\) | |||||||
\(684\) | 7.47198 | + | 14.6646i | 0.000417688 | + | 0.000819759i | ||||
\(685\) | −901.286 | − | 8575.16i | −0.0502721 | − | 0.478307i | ||||
\(686\) | 25535.1 | + | 2683.84i | 1.42118 | + | 0.149373i | ||||
\(687\) | −6361.87 | + | 333.412i | −0.353305 | + | 0.0185159i | ||||
\(688\) | 457.598 | + | 1408.34i | 0.0253572 | + | 0.0780415i | ||||
\(689\) | −2637.18 | − | 9836.52i | −0.145818 | − | 0.543892i | ||||
\(690\) | −9165.87 | − | 12615.7i | −0.505708 | − | 0.696048i | ||||
\(691\) | −12512.4 | + | 19267.4i | −0.688847 | + | 1.06073i | 0.305253 | + | 0.952271i | \(0.401259\pi\) |
−0.994101 | + | 0.108461i | \(0.965408\pi\) | |||||||
\(692\) | 3296.20 | − | 1903.06i | 0.181073 | − | 0.104543i | ||||
\(693\) | −12793.4 | + | 7455.93i | −0.701273 | + | 0.408697i | ||||
\(694\) | 21353.8 | − | 21353.8i | 1.16798 | − | 1.16798i | ||||
\(695\) | −108.027 | + | 2061.29i | −0.00589599 | + | 0.112502i | ||||
\(696\) | −8586.64 | + | 10603.6i | −0.467637 | + | 0.577484i | ||||
\(697\) | −1462.90 | − | 9236.37i | −0.0794996 | − | 0.501941i | ||||
\(698\) | −17760.4 | − | 3775.09i | −0.963096 | − | 0.204712i | ||||
\(699\) | −12368.4 | + | 13736.5i | −0.669266 | + | 0.743295i | ||||
\(700\) | 2120.41 | + | 2618.49i | 0.114491 | + | 0.141385i | ||||
\(701\) | −6815.26 | + | 4951.58i | −0.367202 | + | 0.266788i | −0.756050 | − | 0.654514i | \(-0.772873\pi\) |
0.388848 | + | 0.921302i | \(0.372873\pi\) | |||||||
\(702\) | −5288.74 | − | 16269.2i | −0.284345 | − | 0.874705i | ||||
\(703\) | − | 149.907i | − | 0.00804244i | ||||||
\(704\) | −20436.8 | − | 3151.60i | −1.09409 | − | 0.168722i | ||||
\(705\) | 4578.28 | + | 7929.81i | 0.244579 | + | 0.423623i | ||||
\(706\) | −20120.1 | − | 22345.6i | −1.07256 | − | 1.19120i | ||||
\(707\) | 2089.71 | − | 13193.9i | 0.111162 | − | 0.701850i | ||||
\(708\) | −1901.28 | + | 4953.00i | −0.100924 | + | 0.262917i | ||||
\(709\) | −12460.4 | − | 19187.4i | −0.660029 | − | 1.01636i | −0.997190 | − | 0.0749092i | \(-0.976133\pi\) |
0.337161 | − | 0.941447i | \(-0.390533\pi\) | |||||||
\(710\) | −13518.5 | − | 6888.00i | −0.714562 | − | 0.364087i | ||||
\(711\) | 2687.40 | + | 6036.00i | 0.141752 | + | 0.318379i | ||||
\(712\) | 3024.99 | + | 1346.81i | 0.159222 | + | 0.0708904i | ||||
\(713\) | 9812.97 | + | 6372.62i | 0.515426 | + | 0.334722i | ||||
\(714\) | −25044.0 | −1.31267 | ||||||||
\(715\) | 14227.8 | − | 3876.67i | 0.744182 | − | 0.202768i | ||||
\(716\) | −7410.51 | −0.386793 | ||||||||
\(717\) | 6633.71 | + | 4307.98i | 0.345524 | + | 0.224386i | ||||
\(718\) | −6368.39 | − | 2835.39i | −0.331011 | − | 0.147376i | ||||
\(719\) | −3922.33 | − | 8809.70i | −0.203447 | − | 0.456949i | 0.782790 | − | 0.622285i | \(-0.213796\pi\) |
−0.986237 | + | 0.165336i | \(0.947129\pi\) | |||||||
\(720\) | −4200.38 | − | 2140.20i | −0.217415 | − | 0.110779i | ||||
\(721\) | 22296.7 | + | 34333.9i | 1.15170 | + | 1.77346i | ||||
\(722\) | 5977.05 | − | 15570.8i | 0.308093 | − | 0.802609i | ||||
\(723\) | 1301.32 | − | 8216.19i | 0.0669384 | − | 0.422632i | ||||
\(724\) | −6061.45 | − | 6731.92i | −0.311149 | − | 0.345566i | ||||
\(725\) | 3727.74 | + | 6456.63i | 0.190958 | + | 0.330749i | ||||
\(726\) | 9565.44 | + | 7617.76i | 0.488990 | + | 0.389424i | ||||
\(727\) | 4279.62i | 0.218325i | 0.994024 | + | 0.109163i | \(0.0348169\pi\) | ||||
−0.994024 | + | 0.109163i | \(0.965183\pi\) | |||||||
\(728\) | 36614.7 | − | 1924.08i | 1.86405 | − | 0.0979548i | ||||
\(729\) | −14686.1 | + | 10670.1i | −0.746134 | + | 0.542098i | ||||
\(730\) | −1213.44 | − | 1498.47i | −0.0615224 | − | 0.0759738i | ||||
\(731\) | 1971.75 | − | 2189.85i | 0.0997646 | − | 0.110800i | ||||
\(732\) | 434.499 | + | 92.3556i | 0.0219393 | + | 0.00466333i | ||||
\(733\) | −595.159 | − | 3757.69i | −0.0299900 | − | 0.189350i | 0.968145 | − | 0.250389i | \(-0.0805585\pi\) |
−0.998135 | + | 0.0610393i | \(0.980558\pi\) | |||||||
\(734\) | 18843.1 | − | 23269.3i | 0.947565 | − | 1.17015i | ||||
\(735\) | −1149.36 | + | 21931.0i | −0.0576797 | + | 1.10060i | ||||
\(736\) | −12772.4 | + | 12772.4i | −0.639669 | + | 0.639669i | ||||
\(737\) | −9819.20 | − | 991.622i | −0.490767 | − | 0.0495615i | ||||
\(738\) | −2932.28 | + | 1692.95i | −0.146258 | + | 0.0844423i | ||||
\(739\) | 360.226 | − | 554.700i | 0.0179312 | − | 0.0276116i | −0.829591 | − | 0.558371i | \(-0.811427\pi\) |
0.847523 | + | 0.530759i | \(0.178093\pi\) | |||||||
\(740\) | −2557.99 | − | 3520.78i | −0.127073 | − | 0.174900i | ||||
\(741\) | −54.8642 | + | 95.0586i | −0.00271996 | + | 0.00471264i | ||||
\(742\) | 5206.90 | + | 16025.2i | 0.257616 | + | 0.792861i | ||||
\(743\) | 8352.14 | − | 437.717i | 0.412396 | − | 0.0216128i | 0.154990 | − | 0.987916i | \(-0.450465\pi\) |
0.257406 | + | 0.966303i | \(0.417132\pi\) | |||||||
\(744\) | −5478.50 | − | 575.813i | −0.269962 | − | 0.0283741i | ||||
\(745\) | 2165.24 | + | 20600.9i | 0.106481 | + | 1.01310i | ||||
\(746\) | −4.01619 | − | 7.88221i | −0.000197109 | − | 0.000386848i | ||||
\(747\) | 4856.34 | − | 1301.25i | 0.237864 | − | 0.0637353i | ||||
\(748\) | 2356.50 | + | 6064.94i | 0.115190 | + | 0.296465i | ||||
\(749\) | 19307.1 | + | 19307.1i | 0.941877 | + | 0.941877i | ||||
\(750\) | 10340.7 | − | 9310.85i | 0.503454 | − | 0.453312i | ||||
\(751\) | −4784.67 | + | 10746.6i | −0.232484 | + | 0.522167i | −0.991685 | − | 0.128689i | \(-0.958923\pi\) |
0.759201 | + | 0.650856i | \(0.225590\pi\) | |||||||
\(752\) | −9381.96 | + | 7597.37i | −0.454954 | + | 0.368414i | ||||
\(753\) | −15113.8 | + | 4910.76i | −0.731442 | + | 0.237660i | ||||
\(754\) | 16691.1 | + | 1751.92i | 0.806170 | + | 0.0846169i | ||||
\(755\) | −4176.69 | + | 5748.72i | −0.201332 | + | 0.277109i | ||||
\(756\) | −3579.10 | − | 9323.87i | −0.172183 | − | 0.448553i | ||||
\(757\) | −20634.5 | + | 4386.01i | −0.990720 | + | 0.210584i | −0.674639 | − | 0.738148i | \(-0.735701\pi\) |
−0.316082 | + | 0.948732i | \(0.602367\pi\) | |||||||
\(758\) | 3797.38 | − | 6577.26i | 0.181962 | − | 0.315167i | ||||
\(759\) | 26176.0 | − | 7128.23i | 1.25182 | − | 0.340894i | ||||
\(760\) | 33.9307 | + | 126.631i | 0.00161947 | + | 0.00604394i | ||||
\(761\) | −38880.3 | − | 2037.63i | −1.85205 | − | 0.0970618i | −0.906433 | − | 0.422349i | \(-0.861206\pi\) |
−0.945615 | + | 0.325287i | \(0.894539\pi\) | |||||||
\(762\) | 1656.33 | + | 262.337i | 0.0787436 | + | 0.0124718i | ||||
\(763\) | 44284.6 | − | 19716.8i | 2.10119 | − | 0.935510i | ||||
\(764\) | 2902.13 | + | 2613.09i | 0.137428 | + | 0.123741i | ||||
\(765\) | 490.961 | + | 9368.10i | 0.0232036 | + | 0.442751i | ||||
\(766\) | 10392.0 | + | 7550.22i | 0.490180 | + | 0.356136i | ||||
\(767\) | 30855.9 | − | 6563.17i | 1.45260 | − | 0.308973i | ||||
\(768\) | 3464.96 | − | 10664.1i | 0.162801 | − | 0.501050i | ||||
\(769\) | 5324.57 | − | 19871.6i | 0.249687 | − | 0.931843i | −0.721283 | − | 0.692641i | \(-0.756447\pi\) |
0.970970 | − | 0.239203i | \(-0.0768861\pi\) | |||||||
\(770\) | −23173.9 | + | 7634.15i | −1.08458 | + | 0.357293i | ||||
\(771\) | 16036.8 | + | 9258.87i | 0.749095 | + | 0.432490i | ||||
\(772\) | −2478.74 | + | 1262.98i | −0.115559 | + | 0.0588803i | ||||
\(773\) | 10471.9 | + | 8479.98i | 0.487255 | + | 0.394571i | 0.841225 | − | 0.540686i | \(-0.181835\pi\) |
−0.353970 | + | 0.935257i | \(0.615168\pi\) | |||||||
\(774\) | −996.062 | − | 382.352i | −0.0462567 | − | 0.0177563i | ||||
\(775\) | −1366.53 | + | 2681.96i | −0.0633381 | + | 0.124308i | ||||
\(776\) | 3502.09 | − | 16476.1i | 0.162008 | − | 0.762186i | ||||
\(777\) | −3046.10 | + | 28981.8i | −0.140641 | + | 1.33811i | ||||
\(778\) | 12748.7 | − | 4893.77i | 0.587485 | − | 0.225514i | ||||
\(779\) | 64.4899 | + | 20.9540i | 0.00296610 | + | 0.000963743i | ||||
\(780\) | 333.505 | + | 3168.79i | 0.0153095 | + | 0.145463i | ||||
\(781\) | 19543.5 | − | 17741.7i | 0.895420 | − | 0.812867i | ||||
\(782\) | −39518.2 | − | 10588.9i | −1.80712 | − | 0.484216i | ||||
\(783\) | −4594.63 | − | 21616.0i | −0.209704 | − | 0.986582i | ||||
\(784\) | −28795.7 | + | 3026.55i | −1.31176 | + | 0.137871i | ||||
\(785\) | 28807.7 | − | 4562.69i | 1.30980 | − | 0.207451i | ||||
\(786\) | 7619.88 | − | 4948.41i | 0.345791 | − | 0.224560i | ||||
\(787\) | 6628.98 | − | 4304.91i | 0.300251 | − | 0.194985i | −0.385717 | − | 0.922617i | \(-0.626046\pi\) |
0.685968 | + | 0.727632i | \(0.259379\pi\) | |||||||
\(788\) | 5257.11 | − | 832.644i | 0.237661 | − | 0.0376418i | ||||
\(789\) | −20391.0 | + | 2143.18i | −0.920076 | + | 0.0967038i | ||||
\(790\) | 2263.53 | + | 10649.1i | 0.101940 | + | 0.479592i | ||||
\(791\) | −64067.9 | − | 17166.9i | −2.87989 | − | 0.771664i | ||||
\(792\) | 8432.24 | − | 7654.84i | 0.378317 | − | 0.343438i | ||||
\(793\) | −946.897 | − | 2465.71i | −0.0424027 | − | 0.110416i | ||||
\(794\) | −6810.19 | − | 2212.77i | −0.304389 | − | 0.0989019i | ||||
\(795\) | −6608.42 | + | 2536.73i | −0.294813 | + | 0.113168i | ||||
\(796\) | 889.328 | − | 8461.39i | 0.0395998 | − | 0.376767i | ||||
\(797\) | 5929.12 | − | 27894.3i | 0.263514 | − | 1.23973i | −0.624905 | − | 0.780700i | \(-0.714862\pi\) |
0.888419 | − | 0.459033i | \(-0.151804\pi\) | |||||||
\(798\) | 82.4432 | − | 161.804i | 0.00365721 | − | 0.00717769i | ||||
\(799\) | 22427.6 | + | 8609.14i | 0.993030 | + | 0.381188i | ||||
\(800\) | −3611.20 | − | 2924.29i | −0.159594 | − | 0.129237i | ||||
\(801\) | −1530.84 | + | 780.001i | −0.0675274 | + | 0.0344070i | ||||
\(802\) | −25813.0 | − | 14903.2i | −1.13652 | − | 0.656171i | ||||
\(803\) | 3186.07 | − | 1049.58i | 0.140017 | − | 0.0461258i | ||||
\(804\) | 551.915 | − | 2059.77i | 0.0242096 | − | 0.0903515i | ||||
\(805\) | −16727.5 | + | 51481.9i | −0.732380 | + | 2.25403i | ||||
\(806\) | 3076.99 | + | 6036.82i | 0.134469 | + | 0.263819i | ||||
\(807\) | 10067.1 | + | 7314.16i | 0.439130 | + | 0.319046i | ||||
\(808\) | 537.701 | + | 10259.9i | 0.0234112 | + | 0.446712i | ||||
\(809\) | 14579.1 | + | 13127.1i | 0.633591 | + | 0.570488i | 0.922082 | − | 0.386995i | \(-0.126487\pi\) |
−0.288491 | + | 0.957483i | \(0.593154\pi\) | |||||||
\(810\) | −4279.93 | + | 1905.55i | −0.185656 | + | 0.0826593i | ||||
\(811\) | 14465.6 | + | 2291.13i | 0.626333 | + | 0.0992014i | 0.461529 | − | 0.887125i | \(-0.347301\pi\) |
0.164804 | + | 0.986326i | \(0.447301\pi\) | |||||||
\(812\) | 9784.33 | + | 512.775i | 0.422860 | + | 0.0221612i | ||||
\(813\) | −4795.14 | − | 17895.7i | −0.206855 | − | 0.771992i | ||||
\(814\) | −20703.7 | + | 5638.03i | −0.891481 | + | 0.242768i | ||||
\(815\) | 13973.6 | − | 24203.0i | 0.600581 | − | 1.04024i | ||||
\(816\) | 13568.0 | − | 2883.98i | 0.582079 | − | 0.123725i | ||||
\(817\) | 7.65727 | + | 19.9479i | 0.000327900 | + | 0.000854208i | ||||
\(818\) | −12724.5 | + | 17513.7i | −0.543888 | + | 0.748597i | ||||
\(819\) | −11180.0 | + | 15392.5i | −0.476998 | + | 0.656726i | ||||
\(820\) | 1872.20 | − | 608.313i | 0.0797316 | − | 0.0259064i | ||||
\(821\) | −21974.1 | + | 17794.3i | −0.934107 | + | 0.756425i | −0.970044 | − | 0.242929i | \(-0.921892\pi\) |
0.0359370 | + | 0.999354i | \(0.488558\pi\) | |||||||
\(822\) | 3736.28 | − | 8391.82i | 0.158537 | − | 0.356081i | ||||
\(823\) | 13388.8 | − | 12055.3i | 0.567076 | − | 0.510597i | −0.334975 | − | 0.942227i | \(-0.608728\pi\) |
0.902051 | + | 0.431630i | \(0.142061\pi\) | |||||||
\(824\) | −22264.0 | − | 22264.0i | −0.941268 | − | 0.941268i | ||||
\(825\) | 2527.60 | + | 6505.31i | 0.106666 | + | 0.274528i | ||||
\(826\) | −50416.5 | + | 13509.1i | −2.12375 | + | 0.569057i | ||||
\(827\) | 8708.28 | + | 17091.0i | 0.366163 | + | 0.718635i | 0.998424 | − | 0.0561205i | \(-0.0178731\pi\) |
−0.632261 | + | 0.774755i | \(0.717873\pi\) | |||||||
\(828\) | −546.339 | − | 5198.06i | −0.0229306 | − | 0.218171i | ||||
\(829\) | −17712.0 | − | 1861.61i | −0.742056 | − | 0.0779932i | −0.274046 | − | 0.961717i | \(-0.588362\pi\) |
−0.468010 | + | 0.883723i | \(0.655029\pi\) | |||||||
\(830\) | 8272.92 | − | 433.565i | 0.345973 | − | 0.0181317i | ||||
\(831\) | 9354.51 | + | 28790.2i | 0.390499 | + | 1.20183i | ||||
\(832\) | −25660.8 | + | 6879.66i | −1.06926 | + | 0.286670i | ||||
\(833\) | 33866.6 | + | 46613.3i | 1.40865 | + | 1.93884i | ||||
\(834\) | −1197.68 | + | 1844.26i | −0.0497269 | + | 0.0765727i | ||||
\(835\) | 18441.5 | − | 10647.2i | 0.764305 | − | 0.441272i | ||||
\(836\) | −46.9416 | − | 4.74054i | −0.00194200 | − | 0.000196118i | ||||
\(837\) | 6308.88 | − | 6308.88i | 0.260534 | − | 0.260534i | ||||
\(838\) | 873.546 | − | 16668.3i | 0.0360097 | − | 0.687106i | ||||
\(839\) | −18363.8 | + | 22677.5i | −0.755650 | + | 0.933150i | −0.999326 | − | 0.0367065i | \(-0.988313\pi\) |
0.243676 | + | 0.969857i | \(0.421647\pi\) | |||||||
\(840\) | −3986.74 | − | 25171.3i | −0.163757 | − | 1.03392i | ||||
\(841\) | −2650.09 | − | 563.294i | −0.108659 | − | 0.0230962i | ||||
\(842\) | 9832.83 | − | 10920.5i | 0.402449 | − | 0.446965i | ||||
\(843\) | −3580.33 | − | 4421.34i | −0.146279 | − | 0.180639i | ||||
\(844\) | 8843.69 | − | 6425.32i | 0.360678 | − | 0.262048i | ||||
\(845\) | 14720.4 | − | 11927.2i | 0.599285 | − | 0.485572i | ||||
\(846\) | − | 8698.09i | − | 0.353483i | ||||||
\(847\) | 1876.17 | − | 42406.2i | 0.0761109 | − | 1.72030i | ||||
\(848\) | −4666.32 | − | 8082.31i | −0.188965 | − | 0.327297i | ||||
\(849\) | −4711.64 | − | 5232.80i | −0.190463 | − | 0.211530i | ||||
\(850\) | 1646.45 | − | 10395.3i | 0.0664384 | − | 0.419476i | ||||
\(851\) | −17060.4 | + | 44443.8i | −0.687217 | + | 1.79026i | ||||
\(852\) | 3106.23 | + | 4783.18i | 0.124903 | + | 0.192334i | ||||
\(853\) | −40087.9 | − | 20425.8i | −1.60913 | − | 0.819891i | −0.999633 | − | 0.0271006i | \(-0.991373\pi\) |
−0.609494 | − | 0.792791i | \(-0.708627\pi\) | |||||||
\(854\) | 1777.50 | + | 3992.33i | 0.0712235 | + | 0.159971i | ||||
\(855\) | −62.1414 | − | 27.6671i | −0.00248560 | − | 0.00110666i | ||||
\(856\) | −17612.0 | − | 11437.4i | −0.703233 | − | 0.456685i | ||||
\(857\) | 15308.6 | 0.610190 | 0.305095 | − | 0.952322i | \(-0.401312\pi\) | ||||
0.305095 | + | 0.952322i | \(0.401312\pi\) | |||||||
\(858\) | 15192.1 | + | 4002.16i | 0.604486 | + | 0.159244i | ||||
\(859\) | −24289.3 | −0.964774 | −0.482387 | − | 0.875958i | \(-0.660230\pi\) | ||||
−0.482387 | + | 0.875958i | \(0.660230\pi\) | |||||||
\(860\) | 520.231 | + | 337.842i | 0.0206276 | + | 0.0133957i | ||||
\(861\) | −12042.2 | − | 5361.52i | −0.476650 | − | 0.212218i | ||||
\(862\) | −15748.5 | − | 35371.6i | −0.622268 | − | 1.39764i | ||||
\(863\) | −12772.7 | − | 6508.00i | −0.503808 | − | 0.256703i | 0.183565 | − | 0.983008i | \(-0.441236\pi\) |
−0.687373 | + | 0.726304i | \(0.741236\pi\) | |||||||
\(864\) | 7501.59 | + | 11551.4i | 0.295381 | + | 0.454847i | ||||
\(865\) | −5637.34 | + | 14685.8i | −0.221590 | + | 0.577261i | ||||
\(866\) | 2690.52 | − | 16987.3i | 0.105575 | − | 0.666571i | ||||
\(867\) | −6049.90 | − | 6719.09i | −0.236984 | − | 0.263198i | ||||
\(868\) | 1977.84 | + | 3425.73i | 0.0773415 | + | 0.133959i | ||||
\(869\) | −18719.2 | − | 2886.72i | −0.730731 | − | 0.112687i | ||||
\(870\) | − | 11665.3i | − | 0.454586i | ||||||
\(871\) | −12058.5 | + | 3919.91i | −0.469099 | + | 0.152493i | ||||
\(872\) | −30162.4 | + | 21914.3i | −1.17136 | + | 0.851046i | ||||
\(873\) | 5500.15 | + | 6792.12i | 0.213232 | + | 0.263320i | ||||
\(874\) | 198.503 | − | 220.460i | 0.00768247 | − | 0.00853224i | ||||
\(875\) | −47247.2 | − | 10042.7i | −1.82543 | − | 0.388006i | ||||
\(876\) | 113.385 | + | 715.886i | 0.00437321 | + | 0.0276114i | ||||
\(877\) | −20090.1 | + | 24809.3i | −0.773542 | + | 0.955244i | −0.999823 | − | 0.0188177i | \(-0.994010\pi\) |
0.226281 | + | 0.974062i | \(0.427343\pi\) | |||||||
\(878\) | −1318.80 | + | 25164.1i | −0.0506916 | + | 0.967253i | ||||
\(879\) | −16306.2 | + | 16306.2i | −0.625705 | + | 0.625705i | ||||
\(880\) | 11675.7 | − | 6804.55i | 0.447260 | − | 0.260661i | ||||
\(881\) | 14371.8 | − | 8297.58i | 0.549602 | − | 0.317313i | −0.199360 | − | 0.979926i | \(-0.563886\pi\) |
0.748961 | + | 0.662614i | \(0.230553\pi\) | |||||||
\(882\) | 11362.0 | − | 17495.9i | 0.433762 | − | 0.667935i | ||||
\(883\) | 23890.9 | + | 32883.0i | 0.910523 | + | 1.25323i | 0.966988 | + | 0.254823i | \(0.0820173\pi\) |
−0.0564642 | + | 0.998405i | \(0.517983\pi\) | |||||||
\(884\) | 5911.94 | + | 5910.27i | 0.224932 | + | 0.224869i | ||||
\(885\) | −6775.80 | − | 20853.8i | −0.257363 | − | 0.792081i | ||||
\(886\) | 25585.8 | − | 1340.89i | 0.970171 | − | 0.0508445i | ||||
\(887\) | 8207.96 | + | 862.692i | 0.310706 | + | 0.0326565i | 0.258598 | − | 0.965985i | \(-0.416739\pi\) |
0.0521078 | + | 0.998641i | \(0.483406\pi\) | |||||||
\(888\) | −2342.78 | − | 22290.1i | −0.0885344 | − | 0.842349i | ||||
\(889\) | −2642.82 | − | 5186.82i | −0.0997045 | − | 0.195681i | ||||
\(890\) | −2734.52 | + | 732.713i | −0.102990 | + | 0.0275962i | ||||
\(891\) | −459.717 | − | 8137.61i | −0.0172852 | − | 0.305971i | ||||
\(892\) | 265.915 | + | 265.915i | 0.00998149 | + | 0.00998149i | ||||
\(893\) | −129.452 | + | 116.559i | −0.00485099 | + | 0.00436785i | ||||
\(894\) | −8976.01 | + | 20160.4i | −0.335797 | + | 0.754213i | ||||
\(895\) | 23801.9 | − | 19274.4i | 0.888951 | − | 0.719858i | ||||
\(896\) | 19537.7 | − | 6348.19i | 0.728470 | − | 0.236694i | ||||
\(897\) | 27084.2 | − | 21938.7i | 1.00816 | − | 0.816624i | ||||
\(898\) | −18625.4 | + | 25635.7i | −0.692137 | + | 0.952645i | ||||
\(899\) | 3136.74 | + | 8171.48i | 0.116369 | + | 0.303153i | ||||
\(900\) | 1315.21 | − | 279.555i | 0.0487113 | − | 0.0103539i | ||||
\(901\) | −9285.69 | + | 16083.3i | −0.343342 | + | 0.594686i | ||||
\(902\) | 468.498 | − | 9694.83i | 0.0172941 | − | 0.357874i | ||||
\(903\) | −1075.05 | − | 4012.16i | −0.0396186 | − | 0.147859i | ||||
\(904\) | 50943.4 | + | 2669.83i | 1.87428 | + | 0.0982270i | ||||
\(905\) | 36978.3 | + | 5856.79i | 1.35823 | + | 0.215123i | ||||
\(906\) | −6915.79 | + | 3079.11i | −0.253600 | + | 0.112910i | ||||
\(907\) | 10288.0 | + | 9263.34i | 0.376634 | + | 0.339123i | 0.835607 | − | 0.549327i | \(-0.185116\pi\) |
−0.458973 | + | 0.888450i | \(0.651783\pi\) | |||||||
\(908\) | 71.3507 | + | 1361.45i | 0.00260777 | + | 0.0497592i | ||||
\(909\) | −4312.73 | − | 3133.38i | −0.157364 | − | 0.114332i | ||||
\(910\) | −23292.5 | + | 20978.6i | −0.848504 | + | 0.764213i | ||||
\(911\) | 5803.92 | − | 17862.6i | 0.211078 | − | 0.649633i | −0.788330 | − | 0.615252i | \(-0.789054\pi\) |
0.999409 | − | 0.0343805i | \(-0.0109458\pi\) | |||||||
\(912\) | −26.0323 | + | 97.1538i | −0.000945192 | + | 0.00352751i | ||||
\(913\) | −4397.82 | + | 13725.1i | −0.159416 | + | 0.497517i | ||||
\(914\) | 2553.47 | + | 1474.25i | 0.0924084 | + | 0.0533520i | ||||
\(915\) | −1635.79 | + | 833.475i | −0.0591010 | + | 0.0301135i | ||||
\(916\) | −2734.29 | − | 2214.19i | −0.0986284 | − | 0.0798677i | ||||
\(917\) | −29444.3 | − | 11302.6i | −1.06035 | − | 0.407029i | ||||
\(918\) | −14163.1 | + | 27796.6i | −0.509206 | + | 0.999374i | ||||
\(919\) | 3992.36 | − | 18782.6i | 0.143303 | − | 0.674189i | −0.846575 | − | 0.532270i | \(-0.821339\pi\) |
0.989878 | − | 0.141920i | \(-0.0453274\pi\) | |||||||
\(920\) | 4351.80 | − | 41404.6i | 0.155951 | − | 1.48377i | ||||
\(921\) | 5994.99 | − | 2301.26i | 0.214486 | − | 0.0823334i | ||||
\(922\) | −4638.62 | − | 1507.18i | −0.165688 | − | 0.0538354i | ||||
\(923\) | 13788.9 | − | 30982.2i | 0.491731 | − | 1.10487i | ||||
\(924\) | 8978.98 | + | 1870.35i | 0.319683 | + | 0.0665909i | ||||
\(925\) | −11829.5 | − | 3169.69i | −0.420487 | − | 0.112669i | ||||
\(926\) | −581.983 | − | 2738.02i | −0.0206535 | − | 0.0971672i | ||||
\(927\) | 16247.5 | − | 1707.68i | 0.575662 | − | 0.0605045i | ||||
\(928\) | −13345.9 | + | 2113.78i | −0.472090 | + | 0.0747717i | ||||
\(929\) | 10872.8 | − | 7060.86i | 0.383987 | − | 0.249364i | −0.338182 | − | 0.941081i | \(-0.609812\pi\) |
0.722169 | + | 0.691717i | \(0.243145\pi\) | |||||||
\(930\) | 3949.86 | − | 2565.07i | 0.139270 | − | 0.0904430i | ||||
\(931\) | −412.645 | + | 65.3565i | −0.0145262 | + | 0.00230072i | ||||
\(932\) | −10152.7 | + | 1067.09i | −0.356825 | + | 0.0375039i | ||||
\(933\) | 2604.93 | + | 12255.3i | 0.0914059 | + | 0.430031i | ||||
\(934\) | 14385.4 | + | 3854.55i | 0.503965 | + | 0.135037i | ||||
\(935\) | −23343.5 | − | 13350.9i | −0.816486 | − | 0.466975i | ||||
\(936\) | 5949.36 | − | 13367.6i | 0.207757 | − | 0.466808i | ||||
\(937\) | 23123.1 | + | 7513.16i | 0.806190 | + | 0.261947i | 0.682983 | − | 0.730434i | \(-0.260682\pi\) |
0.123207 | + | 0.992381i | \(0.460682\pi\) | |||||||
\(938\) | 19585.7 | − | 7518.26i | 0.681767 | − | 0.261706i | ||||
\(939\) | −2380.47 | + | 22648.6i | −0.0827302 | + | 0.787125i | ||||
\(940\) | −1051.41 | + | 4946.50i | −0.0364822 | + | 0.171635i | ||||
\(941\) | −11889.2 | + | 23333.8i | −0.411877 | + | 0.808353i | −1.00000 | 0.000417914i | \(-0.999867\pi\) | |
0.588123 | + | 0.808771i | \(0.299867\pi\) | |||||||
\(942\) | 29009.4 | + | 11135.6i | 1.00337 | + | 0.385158i | ||||
\(943\) | −16735.0 | − | 13551.7i | −0.577907 | − | 0.467980i | ||||
\(944\) | 25758.4 | − | 13124.5i | 0.888097 | − | 0.452508i | ||||
\(945\) | 35746.7 | + | 20638.4i | 1.23052 | + | 0.710441i | ||||
\(946\) | 2467.03 | − | 1807.80i | 0.0847885 | − | 0.0621317i | ||||
\(947\) | 1950.25 | − | 7278.45i | 0.0669216 | − | 0.249755i | −0.924359 | − | 0.381524i | \(-0.875399\pi\) |
0.991280 | + | 0.131770i | \(0.0420659\pi\) | |||||||
\(948\) | 1264.65 | − | 3892.18i | 0.0433268 | − | 0.133346i | ||||
\(949\) | 3202.38 | − | 2884.25i | 0.109540 | − | 0.0986583i | ||||
\(950\) | 61.7414 | + | 44.8577i | 0.00210858 | + | 0.00153198i | ||||
\(951\) | 367.085 | + | 7004.39i | 0.0125169 | + | 0.238836i | ||||
\(952\) | −49688.7 | − | 44739.9i | −1.69162 | − | 1.52314i | ||||
\(953\) | −38268.8 | + | 17038.4i | −1.30078 | + | 0.579146i | −0.936018 | − | 0.351953i | \(-0.885518\pi\) |
−0.364766 | + | 0.931099i | \(0.618851\pi\) | |||||||
\(954\) | 6641.36 | + | 1051.89i | 0.225390 | + | 0.0356983i | ||||
\(955\) | −16117.9 | − | 844.704i | −0.546139 | − | 0.0286220i | ||||
\(956\) | 1130.64 | + | 4219.59i | 0.0382504 | + | 0.142753i | ||||
\(957\) | 18976.0 | + | 7195.65i | 0.640968 | + | 0.243054i | ||||
\(958\) | −21284.5 | + | 36865.8i | −0.717819 | + | 1.24330i | ||||
\(959\) | −31190.6 | + | 6629.76i | −1.05026 | + | 0.223239i | ||||
\(960\) | 6617.64 | + | 17239.5i | 0.222483 | + | 0.579587i | ||||
\(961\) | 15433.6 | − | 21242.5i | 0.518062 | − | 0.713051i | ||||
\(962\) | −21422.1 | + | 17352.3i | −0.717958 | + | 0.581559i | ||||
\(963\) | 10362.8 | − | 3367.09i | 0.346768 | − | 0.112672i | ||||
\(964\) | 3570.38 | − | 2891.24i | 0.119289 | − | 0.0965981i | ||||
\(965\) | 4676.54 | − | 10503.7i | 0.156003 | − | 0.350389i | ||||
\(966\) | −42856.8 | + | 38588.4i | −1.42743 | + | 1.28526i | ||||
\(967\) | 11128.1 | + | 11128.1i | 0.370068 | + | 0.370068i | 0.867502 | − | 0.497434i | \(-0.165724\pi\) |
−0.497434 | + | 0.867502i | \(0.665724\pi\) | |||||||
\(968\) | 5369.58 | + | 32202.2i | 0.178290 | + | 1.06923i | ||||
\(969\) | 193.330 | − | 51.8026i | 0.00640935 | − | 0.00171738i | ||||
\(970\) | 6537.91 | + | 12831.4i | 0.216412 | + | 0.424733i | ||||
\(971\) | −3805.46 | − | 36206.5i | −0.125770 | − | 1.19663i | −0.857301 | − | 0.514816i | \(-0.827860\pi\) |
0.731530 | − | 0.681809i | \(-0.238806\pi\) | |||||||
\(972\) | −6657.58 | − | 699.740i | −0.219693 | − | 0.0230907i | ||||
\(973\) | 7623.06 | − | 399.508i | 0.251166 | − | 0.0131630i | ||||
\(974\) | −8053.99 | − | 24787.6i | −0.264955 | − | 0.815449i | ||||
\(975\) | 6341.20 | + | 6339.41i | 0.208288 | + | 0.208229i | ||||
\(976\) | −1422.73 | − | 1958.22i | −0.0466604 | − | 0.0642226i | ||||
\(977\) | −21765.4 | + | 33515.8i | −0.712731 | + | 1.09751i | 0.277856 | + | 0.960623i | \(0.410376\pi\) |
−0.990587 | + | 0.136887i | \(0.956290\pi\) | |||||||
\(978\) | 25785.0 | − | 14887.0i | 0.843060 | − | 0.486741i | ||||
\(979\) | 494.865 | − | 4900.24i | 0.0161552 | − | 0.159972i | ||||
\(980\) | −8576.32 | + | 8576.32i | −0.279552 | + | 0.279552i | ||||
\(981\) | 1012.43 | − | 19318.2i | 0.0329503 | − | 0.628729i | ||||
\(982\) | 31020.1 | − | 38306.6i | 1.00804 | − | 1.24482i | ||||
\(983\) | −701.995 | − | 4432.23i | −0.0227774 | − | 0.143811i | 0.973679 | − | 0.227925i | \(-0.0731940\pi\) |
−0.996456 | + | 0.0841140i | \(0.973194\pi\) | |||||||
\(984\) | 9916.66 | + | 2107.85i | 0.321272 | + | 0.0682885i | ||||
\(985\) | −14719.7 | + | 16347.9i | −0.476151 | + | 0.528820i | ||||
\(986\) | −19260.4 | − | 23784.6i | −0.622085 | − | 0.768211i | ||||
\(987\) | 27395.6 | − | 19904.1i | 0.883497 | − | 0.641898i | ||||
\(988\) | −57.6466 | + | 18.7395i | −0.00185626 | + | 0.000603424i | ||||
\(989\) | − | 6785.52i | − | 0.218167i | ||||||
\(990\) | −1483.98 | + | 9622.96i | −0.0476403 | + | 0.308927i | ||||
\(991\) | −8173.46 | − | 14156.8i | −0.261996 | − | 0.453791i | 0.704776 | − | 0.709430i | \(-0.251048\pi\) |
−0.966772 | + | 0.255639i | \(0.917714\pi\) | |||||||
\(992\) | −3650.34 | − | 4054.11i | −0.116833 | − | 0.129756i | ||||
\(993\) | −5304.12 | + | 33488.9i | −0.169508 | + | 1.07023i | ||||
\(994\) | −20107.9 | + | 52382.9i | −0.641634 | + | 1.67151i | ||||
\(995\) | 19151.3 | + | 29490.4i | 0.610187 | + | 0.939606i | ||||
\(996\) | −2774.69 | − | 1413.77i | −0.0882725 | − | 0.0449771i | ||||
\(997\) | −19954.8 | − | 44819.2i | −0.633877 | − | 1.42371i | −0.889501 | − | 0.456934i | \(-0.848948\pi\) |
0.255624 | − | 0.966776i | \(-0.417719\pi\) | |||||||
\(998\) | −14839.2 | − | 6606.82i | −0.470667 | − | 0.209554i | ||||
\(999\) | 30444.5 | + | 19770.9i | 0.964184 | + | 0.626149i |
(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.2.13 | ✓ | 640 | |
11.6 | odd | 10 | inner | 143.4.w.a.28.13 | yes | 640 | |
13.7 | odd | 12 | inner | 143.4.w.a.46.13 | yes | 640 | |
143.72 | even | 60 | inner | 143.4.w.a.72.13 | yes | 640 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
143.4.w.a.2.13 | ✓ | 640 | 1.1 | even | 1 | trivial | |
143.4.w.a.28.13 | yes | 640 | 11.6 | odd | 10 | inner | |
143.4.w.a.46.13 | yes | 640 | 13.7 | odd | 12 | inner | |
143.4.w.a.72.13 | yes | 640 | 143.72 | even | 60 | inner |