Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [115,4,Mod(6,115)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(115, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 18]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("115.6");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 115 = 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 115.g (of order \(11\), degree \(10\), 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: | \(6.78521965066\) |
Analytic rank: | \(0\) |
Dimension: | \(110\) |
Relative dimension: | \(11\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 36.2 | ||
Character | \(\chi\) | \(=\) | 115.36 |
Dual form | 115.4.g.a.16.2 |
$q$-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 \(\left(\mathbb{Z}/115\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{7}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.78120 | − | 3.20967i | −0.983301 | − | 1.13479i | −0.990870 | − | 0.134819i | \(-0.956955\pi\) |
0.00756923 | − | 0.999971i | \(-0.497591\pi\) | |||||||
\(3\) | 0.620793 | + | 0.398960i | 0.119472 | + | 0.0767798i | 0.599012 | − | 0.800740i | \(-0.295560\pi\) |
−0.479540 | + | 0.877520i | \(0.659197\pi\) | |||||||
\(4\) | −1.42842 | + | 9.93487i | −0.178552 | + | 1.24186i | ||||
\(5\) | 2.07708 | − | 4.54816i | 0.185779 | − | 0.406800i | ||||
\(6\) | −0.446019 | − | 3.10213i | −0.0303477 | − | 0.211073i | ||||
\(7\) | −1.32223 | − | 0.388243i | −0.0713940 | − | 0.0209632i | 0.245841 | − | 0.969310i | \(-0.420936\pi\) |
−0.317234 | + | 0.948347i | \(0.602754\pi\) | |||||||
\(8\) | 7.27793 | − | 4.67724i | 0.321642 | − | 0.206707i | ||||
\(9\) | −10.9900 | − | 24.0647i | −0.407037 | − | 0.891286i | ||||
\(10\) | −20.3748 | + | 5.98259i | −0.644309 | + | 0.189186i | ||||
\(11\) | −14.8819 | + | 17.1746i | −0.407915 | + | 0.470759i | −0.922118 | − | 0.386910i | \(-0.873542\pi\) |
0.514203 | + | 0.857669i | \(0.328088\pi\) | |||||||
\(12\) | −4.85037 | + | 5.59762i | −0.116682 | + | 0.134658i | ||||
\(13\) | −74.9993 | + | 22.0218i | −1.60008 | + | 0.469827i | −0.955569 | − | 0.294766i | \(-0.904758\pi\) |
−0.644513 | + | 0.764593i | \(0.722940\pi\) | |||||||
\(14\) | 2.43126 | + | 5.32372i | 0.0464130 | + | 0.101630i | ||||
\(15\) | 3.10397 | − | 1.99480i | 0.0534294 | − | 0.0343370i | ||||
\(16\) | 41.7900 | + | 12.2706i | 0.652968 | + | 0.191729i | ||||
\(17\) | 11.2099 | + | 77.9669i | 0.159930 | + | 1.11234i | 0.898758 | + | 0.438445i | \(0.144470\pi\) |
−0.738828 | + | 0.673894i | \(0.764620\pi\) | |||||||
\(18\) | −46.6745 | + | 102.203i | −0.611183 | + | 1.33830i | ||||
\(19\) | 15.1094 | − | 105.088i | 0.182439 | − | 1.26889i | −0.668534 | − | 0.743681i | \(-0.733078\pi\) |
0.850973 | − | 0.525209i | \(-0.176013\pi\) | |||||||
\(20\) | 42.2184 | + | 27.1322i | 0.472017 | + | 0.303347i | ||||
\(21\) | −0.665941 | − | 0.768537i | −0.00692001 | − | 0.00798612i | ||||
\(22\) | 96.5144 | 0.935315 | ||||||||
\(23\) | −34.9765 | + | 104.612i | −0.317092 | + | 0.948395i | ||||
\(24\) | 6.38412 | 0.0542980 | ||||||||
\(25\) | −16.3715 | − | 18.8937i | −0.130972 | − | 0.151150i | ||||
\(26\) | 279.271 | + | 179.476i | 2.10652 | + | 1.35378i | ||||
\(27\) | 5.61387 | − | 39.0453i | 0.0400144 | − | 0.278307i | ||||
\(28\) | 5.74585 | − | 12.5817i | 0.0387808 | − | 0.0849182i | ||||
\(29\) | 37.5529 | + | 261.186i | 0.240462 | + | 1.67245i | 0.649830 | + | 0.760080i | \(0.274840\pi\) |
−0.409368 | + | 0.912369i | \(0.634251\pi\) | |||||||
\(30\) | −15.0354 | − | 4.41479i | −0.0915024 | − | 0.0268675i | ||||
\(31\) | −169.450 | + | 108.899i | −0.981747 | + | 0.630930i | −0.929934 | − | 0.367726i | \(-0.880136\pi\) |
−0.0518130 | + | 0.998657i | \(0.516500\pi\) | |||||||
\(32\) | −105.592 | − | 231.215i | −0.583321 | − | 1.27729i | ||||
\(33\) | −16.0906 | + | 4.72462i | −0.0848791 | + | 0.0249227i | ||||
\(34\) | 219.071 | − | 252.821i | 1.10501 | − | 1.27525i | ||||
\(35\) | −4.51217 | + | 5.20732i | −0.0217913 | + | 0.0251485i | ||||
\(36\) | 254.778 | − | 74.8096i | 1.17953 | − | 0.346341i | ||||
\(37\) | 55.8043 | + | 122.194i | 0.247951 | + | 0.542936i | 0.992155 | − | 0.125016i | \(-0.0398983\pi\) |
−0.744204 | + | 0.667952i | \(0.767171\pi\) | |||||||
\(38\) | −379.321 | + | 243.775i | −1.61932 | + | 1.04067i | ||||
\(39\) | −55.3449 | − | 16.2507i | −0.227238 | − | 0.0667231i | ||||
\(40\) | −6.15603 | − | 42.8161i | −0.0243339 | − | 0.169246i | ||||
\(41\) | 154.173 | − | 337.593i | 0.587265 | − | 1.28593i | −0.349816 | − | 0.936818i | \(-0.613756\pi\) |
0.937081 | − | 0.349112i | \(-0.113517\pi\) | |||||||
\(42\) | −0.614638 | + | 4.27490i | −0.00225811 | + | 0.0157055i | ||||
\(43\) | −376.985 | − | 242.274i | −1.33697 | − | 0.859219i | −0.340265 | − | 0.940329i | \(-0.610517\pi\) |
−0.996705 | + | 0.0811107i | \(0.974153\pi\) | |||||||
\(44\) | −149.370 | − | 172.382i | −0.511782 | − | 0.590628i | ||||
\(45\) | −132.277 | −0.438194 | ||||||||
\(46\) | 433.046 | − | 178.683i | 1.38803 | − | 0.572725i | ||||
\(47\) | −376.918 | −1.16977 | −0.584884 | − | 0.811117i | \(-0.698860\pi\) | ||||
−0.584884 | + | 0.811117i | \(0.698860\pi\) | |||||||
\(48\) | 21.0474 | + | 24.2901i | 0.0632904 | + | 0.0730410i | ||||
\(49\) | −286.952 | − | 184.413i | −0.836596 | − | 0.537648i | ||||
\(50\) | −15.1103 | + | 105.094i | −0.0427383 | + | 0.297252i | ||||
\(51\) | −24.1466 | + | 52.8737i | −0.0662980 | + | 0.145172i | ||||
\(52\) | −111.653 | − | 776.565i | −0.297760 | − | 2.07097i | ||||
\(53\) | −236.779 | − | 69.5246i | −0.613662 | − | 0.180187i | −0.0398923 | − | 0.999204i | \(-0.512701\pi\) |
−0.573770 | + | 0.819016i | \(0.694520\pi\) | |||||||
\(54\) | −140.936 | + | 90.5740i | −0.355166 | + | 0.228251i | ||||
\(55\) | 47.2021 | + | 103.358i | 0.115722 | + | 0.253397i | ||||
\(56\) | −11.4390 | + | 3.35880i | −0.0272965 | + | 0.00801498i | ||||
\(57\) | 51.3058 | − | 59.2101i | 0.119221 | − | 0.137589i | ||||
\(58\) | 733.879 | − | 846.942i | 1.66143 | − | 1.91740i | ||||
\(59\) | −93.6935 | + | 27.5109i | −0.206743 | + | 0.0607053i | −0.383464 | − | 0.923556i | \(-0.625269\pi\) |
0.176721 | + | 0.984261i | \(0.443451\pi\) | |||||||
\(60\) | 15.3843 | + | 33.6869i | 0.0331017 | + | 0.0724827i | ||||
\(61\) | 650.166 | − | 417.836i | 1.36468 | − | 0.877024i | 0.366110 | − | 0.930572i | \(-0.380689\pi\) |
0.998565 | + | 0.0535479i | \(0.0170530\pi\) | |||||||
\(62\) | 820.804 | + | 241.010i | 1.68133 | + | 0.493682i | ||||
\(63\) | 5.18838 | + | 36.0860i | 0.0103758 | + | 0.0721652i | ||||
\(64\) | −303.706 | + | 665.024i | −0.593177 | + | 1.29888i | ||||
\(65\) | −55.6206 | + | 386.850i | −0.106137 | + | 0.738197i | ||||
\(66\) | 59.9155 | + | 38.5054i | 0.111744 | + | 0.0718133i | ||||
\(67\) | −147.259 | − | 169.945i | −0.268515 | − | 0.309883i | 0.605439 | − | 0.795892i | \(-0.292998\pi\) |
−0.873954 | + | 0.486009i | \(0.838452\pi\) | |||||||
\(68\) | −790.604 | −1.40992 | ||||||||
\(69\) | −63.4491 | + | 50.9881i | −0.110701 | + | 0.0889602i | ||||
\(70\) | 29.2630 | 0.0499657 | ||||||||
\(71\) | 178.320 | + | 205.792i | 0.298066 | + | 0.343986i | 0.884951 | − | 0.465684i | \(-0.154192\pi\) |
−0.586885 | + | 0.809670i | \(0.699646\pi\) | |||||||
\(72\) | −192.541 | − | 123.738i | −0.315155 | − | 0.202538i | ||||
\(73\) | 56.5199 | − | 393.104i | 0.0906185 | − | 0.630265i | −0.893007 | − | 0.450042i | \(-0.851409\pi\) |
0.983626 | − | 0.180223i | \(-0.0576820\pi\) | |||||||
\(74\) | 237.001 | − | 518.960i | 0.372308 | − | 0.815241i | ||||
\(75\) | −2.62549 | − | 18.2607i | −0.00404221 | − | 0.0281142i | ||||
\(76\) | 1022.46 | + | 300.220i | 1.54321 | + | 0.453127i | ||||
\(77\) | 26.3453 | − | 16.9311i | 0.0389912 | − | 0.0250581i | ||||
\(78\) | 101.766 | + | 222.835i | 0.147727 | + | 0.323476i | ||||
\(79\) | −17.1560 | + | 5.03745i | −0.0244329 | + | 0.00717414i | −0.293926 | − | 0.955828i | \(-0.594962\pi\) |
0.269493 | + | 0.963002i | \(0.413144\pi\) | |||||||
\(80\) | 142.610 | − | 164.580i | 0.199303 | − | 0.230008i | ||||
\(81\) | −448.703 | + | 517.830i | −0.615504 | + | 0.710330i | ||||
\(82\) | −1512.35 | + | 444.066i | −2.03672 | + | 0.598035i | ||||
\(83\) | 362.501 | + | 793.767i | 0.479394 | + | 1.04973i | 0.982630 | + | 0.185577i | \(0.0594155\pi\) |
−0.503236 | + | 0.864149i | \(0.667857\pi\) | |||||||
\(84\) | 8.58656 | − | 5.51825i | 0.0111532 | − | 0.00716774i | ||||
\(85\) | 377.890 | + | 110.958i | 0.482211 | + | 0.141590i | ||||
\(86\) | 270.851 | + | 1883.81i | 0.339612 | + | 2.36205i | ||||
\(87\) | −80.8901 | + | 177.125i | −0.0996820 | + | 0.218273i | ||||
\(88\) | −27.9795 | + | 194.602i | −0.0338935 | + | 0.235734i | ||||
\(89\) | −535.468 | − | 344.125i | −0.637748 | − | 0.409855i | 0.181423 | − | 0.983405i | \(-0.441930\pi\) |
−0.819171 | + | 0.573550i | \(0.805566\pi\) | |||||||
\(90\) | 367.889 | + | 424.566i | 0.430877 | + | 0.497258i | ||||
\(91\) | 107.717 | 0.124085 | ||||||||
\(92\) | −989.344 | − | 496.917i | −1.12116 | − | 0.563121i | ||||
\(93\) | −148.640 | −0.165734 | ||||||||
\(94\) | 1048.28 | + | 1209.78i | 1.15023 | + | 1.32744i | ||||
\(95\) | −446.575 | − | 286.996i | −0.482291 | − | 0.309950i | ||||
\(96\) | 26.6944 | − | 185.664i | 0.0283801 | − | 0.197388i | ||||
\(97\) | 241.129 | − | 528.000i | 0.252402 | − | 0.552683i | −0.740440 | − | 0.672123i | \(-0.765383\pi\) |
0.992841 | + | 0.119440i | \(0.0381099\pi\) | |||||||
\(98\) | 206.165 | + | 1433.91i | 0.212509 | + | 1.47803i | ||||
\(99\) | 576.855 | + | 169.380i | 0.585617 | + | 0.171953i | ||||
\(100\) | 211.092 | − | 135.661i | 0.211092 | − | 0.135661i | ||||
\(101\) | −492.191 | − | 1077.75i | −0.484900 | − | 1.06178i | −0.981087 | − | 0.193567i | \(-0.937994\pi\) |
0.496188 | − | 0.868215i | \(-0.334733\pi\) | |||||||
\(102\) | 236.863 | − | 69.5494i | 0.229931 | − | 0.0675139i | ||||
\(103\) | 896.395 | − | 1034.50i | 0.857519 | − | 0.989630i | −0.142481 | − | 0.989798i | \(-0.545508\pi\) |
1.00000 | 0.000167937i | \(5.34561e-5\pi\) | ||||||||
\(104\) | −442.838 | + | 511.063i | −0.417537 | + | 0.481864i | ||||
\(105\) | −4.87864 | + | 1.43250i | −0.00453435 | + | 0.00133140i | ||||
\(106\) | 435.378 | + | 953.344i | 0.398940 | + | 0.873556i | ||||
\(107\) | −285.804 | + | 183.675i | −0.258221 | + | 0.165949i | −0.663346 | − | 0.748312i | \(-0.730864\pi\) |
0.405125 | + | 0.914261i | \(0.367228\pi\) | |||||||
\(108\) | 379.891 | + | 111.546i | 0.338473 | + | 0.0993846i | ||||
\(109\) | −200.052 | − | 1391.40i | −0.175794 | − | 1.22267i | −0.866366 | − | 0.499410i | \(-0.833550\pi\) |
0.690571 | − | 0.723264i | \(-0.257359\pi\) | |||||||
\(110\) | 200.468 | − | 438.963i | 0.173762 | − | 0.380486i | ||||
\(111\) | −14.1077 | + | 98.1211i | −0.0120634 | + | 0.0839031i | ||||
\(112\) | −50.4922 | − | 32.4493i | −0.0425988 | − | 0.0273766i | ||||
\(113\) | −540.066 | − | 623.269i | −0.449603 | − | 0.518869i | 0.485023 | − | 0.874501i | \(-0.338811\pi\) |
−0.934626 | + | 0.355632i | \(0.884266\pi\) | |||||||
\(114\) | −332.736 | −0.273365 | ||||||||
\(115\) | 403.143 | + | 376.365i | 0.326898 | + | 0.305185i | ||||
\(116\) | −2648.49 | −2.11988 | ||||||||
\(117\) | 1354.19 | + | 1562.82i | 1.07004 | + | 1.23489i | ||||
\(118\) | 348.881 | + | 224.212i | 0.272179 | + | 0.174919i | ||||
\(119\) | 15.4479 | − | 107.443i | 0.0119001 | − | 0.0827669i | ||||
\(120\) | 13.2603 | − | 29.0360i | 0.0100874 | − | 0.0220884i | ||||
\(121\) | 115.924 | + | 806.270i | 0.0870955 | + | 0.605763i | ||||
\(122\) | −3149.35 | − | 924.734i | −2.33712 | − | 0.686242i | ||||
\(123\) | 230.396 | − | 148.066i | 0.168895 | − | 0.108542i | ||||
\(124\) | −839.852 | − | 1839.02i | −0.608233 | − | 1.33185i | ||||
\(125\) | −119.937 | + | 35.2166i | −0.0858197 | + | 0.0251989i | ||||
\(126\) | 101.394 | − | 117.015i | 0.0716898 | − | 0.0827345i | ||||
\(127\) | −194.963 | + | 224.999i | −0.136222 | + | 0.157208i | −0.819762 | − | 0.572705i | \(-0.805894\pi\) |
0.683540 | + | 0.729913i | \(0.260440\pi\) | |||||||
\(128\) | 1028.06 | − | 301.867i | 0.709913 | − | 0.208449i | ||||
\(129\) | −137.373 | − | 300.804i | −0.0937595 | − | 0.205305i | ||||
\(130\) | 1396.35 | − | 897.381i | 0.942063 | − | 0.605427i | ||||
\(131\) | 1112.24 | + | 326.584i | 0.741811 | + | 0.217815i | 0.630737 | − | 0.775997i | \(-0.282753\pi\) |
0.111074 | + | 0.993812i | \(0.464571\pi\) | |||||||
\(132\) | −23.9544 | − | 166.606i | −0.0157952 | − | 0.109858i | ||||
\(133\) | −60.7780 | + | 133.085i | −0.0396250 | + | 0.0867666i | ||||
\(134\) | −135.914 | + | 945.303i | −0.0876208 | + | 0.609416i | ||||
\(135\) | −165.924 | − | 106.633i | −0.105781 | − | 0.0679814i | ||||
\(136\) | 446.255 | + | 515.006i | 0.281368 | + | 0.324716i | ||||
\(137\) | −1191.25 | −0.742885 | −0.371443 | − | 0.928456i | \(-0.621137\pi\) | ||||
−0.371443 | + | 0.928456i | \(0.621137\pi\) | |||||||
\(138\) | 340.120 | + | 61.8427i | 0.209804 | + | 0.0381478i | ||||
\(139\) | −2773.78 | −1.69258 | −0.846290 | − | 0.532722i | \(-0.821169\pi\) | ||||
−0.846290 | + | 0.532722i | \(0.821169\pi\) | |||||||
\(140\) | −45.2888 | − | 52.2661i | −0.0273400 | − | 0.0315521i | ||||
\(141\) | −233.988 | − | 150.375i | −0.139754 | − | 0.0898146i | ||||
\(142\) | 164.582 | − | 1144.70i | 0.0972637 | − | 0.676484i | ||||
\(143\) | 737.917 | − | 1615.81i | 0.431522 | − | 0.944902i | ||||
\(144\) | −163.982 | − | 1140.52i | −0.0948969 | − | 0.660022i | ||||
\(145\) | 1265.92 | + | 371.707i | 0.725025 | + | 0.212887i | ||||
\(146\) | −1418.93 | + | 911.890i | −0.804324 | + | 0.516908i | ||||
\(147\) | −104.565 | − | 228.965i | −0.0586691 | − | 0.128467i | ||||
\(148\) | −1293.70 | + | 379.864i | −0.718522 | + | 0.210977i | ||||
\(149\) | 952.687 | − | 1099.46i | 0.523807 | − | 0.604505i | −0.430773 | − | 0.902460i | \(-0.641759\pi\) |
0.954580 | + | 0.297955i | \(0.0963046\pi\) | |||||||
\(150\) | −51.3088 | + | 59.2135i | −0.0279290 | + | 0.0322317i | ||||
\(151\) | −868.606 | + | 255.046i | −0.468120 | + | 0.137452i | −0.507281 | − | 0.861780i | \(-0.669350\pi\) |
0.0391614 | + | 0.999233i | \(0.487531\pi\) | |||||||
\(152\) | −381.558 | − | 835.495i | −0.203608 | − | 0.445840i | ||||
\(153\) | 1753.05 | − | 1126.62i | 0.926314 | − | 0.595306i | ||||
\(154\) | −127.615 | − | 37.4710i | −0.0667759 | − | 0.0196072i | ||||
\(155\) | 143.329 | + | 996.878i | 0.0742742 | + | 0.516588i | ||||
\(156\) | 240.505 | − | 526.632i | 0.123434 | − | 0.270284i | ||||
\(157\) | −512.442 | + | 3564.11i | −0.260493 | + | 1.81177i | 0.268655 | + | 0.963237i | \(0.413421\pi\) |
−0.529148 | + | 0.848530i | \(0.677488\pi\) | |||||||
\(158\) | 63.8827 | + | 41.0549i | 0.0321660 | + | 0.0206719i | ||||
\(159\) | −119.253 | − | 137.626i | −0.0594805 | − | 0.0686442i | ||||
\(160\) | −1270.93 | −0.627972 | ||||||||
\(161\) | 86.8620 | − | 124.742i | 0.0425198 | − | 0.0610624i | ||||
\(162\) | 2909.99 | 1.41130 | ||||||||
\(163\) | 1659.34 | + | 1914.99i | 0.797361 | + | 0.920204i | 0.998233 | − | 0.0594137i | \(-0.0189231\pi\) |
−0.200872 | + | 0.979617i | \(0.564378\pi\) | |||||||
\(164\) | 3133.72 | + | 2013.92i | 1.49209 | + | 0.958906i | ||||
\(165\) | −11.9330 | + | 82.9959i | −0.00563020 | + | 0.0391589i | ||||
\(166\) | 1539.54 | − | 3371.13i | 0.719830 | − | 1.57621i | ||||
\(167\) | 61.2265 | + | 425.839i | 0.0283703 | + | 0.197320i | 0.999077 | − | 0.0429461i | \(-0.0136744\pi\) |
−0.970707 | + | 0.240266i | \(0.922765\pi\) | |||||||
\(168\) | −8.44130 | − | 2.47859i | −0.00387655 | − | 0.00113826i | ||||
\(169\) | 3291.71 | − | 2115.45i | 1.49827 | − | 0.962882i | ||||
\(170\) | −694.845 | − | 1521.50i | −0.313484 | − | 0.686433i | ||||
\(171\) | −2694.97 | + | 791.316i | −1.20520 | + | 0.353880i | ||||
\(172\) | 2945.45 | − | 3399.23i | 1.30575 | − | 1.50691i | ||||
\(173\) | −87.6326 | + | 101.133i | −0.0385120 | + | 0.0444452i | −0.774679 | − | 0.632355i | \(-0.782088\pi\) |
0.736167 | + | 0.676800i | \(0.236634\pi\) | |||||||
\(174\) | 793.483 | − | 232.988i | 0.345711 | − | 0.101510i | ||||
\(175\) | 14.3116 | + | 31.3381i | 0.00618204 | + | 0.0135368i | ||||
\(176\) | −832.658 | + | 535.117i | −0.356613 | + | 0.229182i | ||||
\(177\) | −69.1401 | − | 20.3014i | −0.0293609 | − | 0.00862115i | ||||
\(178\) | 384.715 | + | 2675.75i | 0.161998 | + | 1.12672i | ||||
\(179\) | −1049.51 | + | 2298.11i | −0.438235 | + | 0.959601i | 0.553684 | + | 0.832727i | \(0.313222\pi\) |
−0.991919 | + | 0.126874i | \(0.959506\pi\) | |||||||
\(180\) | 188.947 | − | 1314.16i | 0.0782406 | − | 0.544175i | ||||
\(181\) | 509.405 | + | 327.375i | 0.209192 | + | 0.134440i | 0.641042 | − | 0.767506i | \(-0.278503\pi\) |
−0.431850 | + | 0.901946i | \(0.642139\pi\) | |||||||
\(182\) | −299.581 | − | 345.735i | −0.122013 | − | 0.140811i | ||||
\(183\) | 570.318 | 0.230378 | ||||||||
\(184\) | 234.738 | + | 924.951i | 0.0940497 | + | 0.370589i | ||||
\(185\) | 671.669 | 0.266930 | ||||||||
\(186\) | 413.397 | + | 477.085i | 0.162966 | + | 0.188073i | ||||
\(187\) | −1505.88 | − | 967.769i | −0.588881 | − | 0.378451i | ||||
\(188\) | 538.397 | − | 3744.63i | 0.208865 | − | 1.45269i | ||||
\(189\) | −22.5819 | + | 49.4475i | −0.00869097 | + | 0.0190306i | ||||
\(190\) | 320.849 | + | 2231.55i | 0.122510 | + | 0.852073i | ||||
\(191\) | 2386.69 | + | 700.795i | 0.904161 | + | 0.265486i | 0.700581 | − | 0.713573i | \(-0.252924\pi\) |
0.203580 | + | 0.979058i | \(0.434742\pi\) | |||||||
\(192\) | −453.857 | + | 291.676i | −0.170595 | + | 0.109635i | ||||
\(193\) | −1310.79 | − | 2870.22i | −0.488872 | − | 1.07048i | −0.979928 | − | 0.199353i | \(-0.936116\pi\) |
0.491055 | − | 0.871128i | \(-0.336611\pi\) | |||||||
\(194\) | −2365.33 | + | 694.524i | −0.875366 | + | 0.257031i | ||||
\(195\) | −188.866 | + | 217.964i | −0.0693590 | + | 0.0800446i | ||||
\(196\) | 2242.01 | − | 2587.42i | 0.817059 | − | 0.942936i | ||||
\(197\) | 816.111 | − | 239.632i | 0.295155 | − | 0.0866653i | −0.130803 | − | 0.991408i | \(-0.541755\pi\) |
0.425958 | + | 0.904743i | \(0.359937\pi\) | |||||||
\(198\) | −1060.69 | − | 2322.59i | −0.380708 | − | 0.833633i | ||||
\(199\) | −3654.09 | + | 2348.34i | −1.30167 | + | 0.836531i | −0.993393 | − | 0.114766i | \(-0.963388\pi\) |
−0.308275 | + | 0.951297i | \(0.599752\pi\) | |||||||
\(200\) | −207.521 | − | 60.9337i | −0.0733698 | − | 0.0215433i | ||||
\(201\) | −23.6158 | − | 164.251i | −0.00828720 | − | 0.0576387i | ||||
\(202\) | −2090.34 | + | 4577.20i | −0.728097 | + | 1.59431i | ||||
\(203\) | 51.7500 | − | 359.929i | 0.0178923 | − | 0.124444i | ||||
\(204\) | −490.802 | − | 315.419i | −0.168446 | − | 0.108254i | ||||
\(205\) | −1215.20 | − | 1402.41i | −0.414015 | − | 0.477798i | ||||
\(206\) | −5813.44 | −1.96622 | ||||||||
\(207\) | 2901.85 | − | 307.984i | 0.974359 | − | 0.103412i | ||||
\(208\) | −3404.44 | −1.13488 | ||||||||
\(209\) | 1580.00 | + | 1823.41i | 0.522922 | + | 0.603484i | ||||
\(210\) | 18.1663 | + | 11.6748i | 0.00596949 | + | 0.00383636i | ||||
\(211\) | 416.355 | − | 2895.81i | 0.135844 | − | 0.944815i | −0.801893 | − | 0.597468i | \(-0.796173\pi\) |
0.937737 | − | 0.347347i | \(-0.112917\pi\) | |||||||
\(212\) | 1028.94 | − | 2253.06i | 0.333338 | − | 0.729909i | ||||
\(213\) | 28.5970 | + | 198.897i | 0.00919923 | + | 0.0639821i | ||||
\(214\) | 1384.41 | + | 406.500i | 0.442226 | + | 0.129849i | ||||
\(215\) | −1884.93 | + | 1211.37i | −0.597911 | + | 0.384254i | ||||
\(216\) | −141.767 | − | 310.426i | −0.0446575 | − | 0.0977863i | ||||
\(217\) | 266.332 | − | 78.2022i | 0.0833171 | − | 0.0244641i | ||||
\(218\) | −3909.54 | + | 4511.85i | −1.21462 | + | 1.40175i | ||||
\(219\) | 191.920 | − | 221.487i | 0.0592180 | − | 0.0683412i | ||||
\(220\) | −1094.28 | + | 321.308i | −0.335346 | + | 0.0984664i | ||||
\(221\) | −2557.71 | − | 5600.60i | −0.778508 | − | 1.70469i | ||||
\(222\) | 354.173 | − | 227.613i | 0.107074 | − | 0.0688125i | ||||
\(223\) | 16.5331 | + | 4.85456i | 0.00496475 | + | 0.00145778i | 0.284214 | − | 0.958761i | \(-0.408267\pi\) |
−0.279249 | + | 0.960219i | \(0.590086\pi\) | |||||||
\(224\) | 49.8502 | + | 346.716i | 0.0148695 | + | 0.103419i | ||||
\(225\) | −274.750 | + | 601.618i | −0.0814073 | + | 0.178257i | ||||
\(226\) | −498.460 | + | 3466.87i | −0.146713 | + | 1.02041i | ||||
\(227\) | 3307.75 | + | 2125.76i | 0.967151 | + | 0.621550i | 0.925968 | − | 0.377601i | \(-0.123251\pi\) |
0.0411831 | + | 0.999152i | \(0.486887\pi\) | |||||||
\(228\) | 514.958 | + | 594.294i | 0.149579 | + | 0.172623i | ||||
\(229\) | −4523.02 | −1.30520 | −0.652598 | − | 0.757704i | \(-0.726321\pi\) | ||||
−0.652598 | + | 0.757704i | \(0.726321\pi\) | |||||||
\(230\) | 86.7905 | − | 2340.70i | 0.0248817 | − | 0.671049i | ||||
\(231\) | 23.1098 | 0.00658231 | ||||||||
\(232\) | 1494.94 | + | 1725.25i | 0.423049 | + | 0.488225i | ||||
\(233\) | 2106.89 | + | 1354.02i | 0.592391 | + | 0.380706i | 0.802217 | − | 0.597032i | \(-0.203654\pi\) |
−0.209827 | + | 0.977739i | \(0.567290\pi\) | |||||||
\(234\) | 1249.87 | − | 8693.01i | 0.349172 | − | 2.42855i | ||||
\(235\) | −782.887 | + | 1714.28i | −0.217319 | + | 0.475862i | ||||
\(236\) | −139.484 | − | 970.130i | −0.0384729 | − | 0.267585i | ||||
\(237\) | −12.6601 | − | 3.71733i | −0.00346987 | − | 0.00101885i | ||||
\(238\) | −387.819 | + | 249.236i | −0.105624 | + | 0.0678807i | ||||
\(239\) | 1076.14 | + | 2356.41i | 0.291254 | + | 0.637756i | 0.997535 | − | 0.0701752i | \(-0.0223558\pi\) |
−0.706281 | + | 0.707931i | \(0.749629\pi\) | |||||||
\(240\) | 154.192 | − | 45.2749i | 0.0414711 | − | 0.0121770i | ||||
\(241\) | 380.033 | − | 438.582i | 0.101577 | − | 0.117226i | −0.702685 | − | 0.711501i | \(-0.748016\pi\) |
0.804262 | + | 0.594275i | \(0.202561\pi\) | |||||||
\(242\) | 2265.45 | − | 2614.47i | 0.601772 | − | 0.694482i | ||||
\(243\) | −1507.07 | + | 442.515i | −0.397853 | + | 0.116820i | ||||
\(244\) | 3222.44 | + | 7056.16i | 0.845474 | + | 1.85133i | ||||
\(245\) | −1434.76 | + | 922.066i | −0.374137 | + | 0.240443i | ||||
\(246\) | −1116.02 | − | 327.693i | −0.289247 | − | 0.0849307i | ||||
\(247\) | 1181.04 | + | 8214.29i | 0.304241 | + | 2.11604i | ||||
\(248\) | −723.899 | + | 1585.12i | −0.185353 | + | 0.405867i | ||||
\(249\) | −91.6427 | + | 637.389i | −0.0233238 | + | 0.162220i | ||||
\(250\) | 446.601 | + | 287.013i | 0.112982 | + | 0.0726092i | ||||
\(251\) | 3631.67 | + | 4191.17i | 0.913264 | + | 1.05396i | 0.998340 | + | 0.0575882i | \(0.0183410\pi\) |
−0.0850766 | + | 0.996374i | \(0.527114\pi\) | |||||||
\(252\) | −365.921 | −0.0914716 | ||||||||
\(253\) | −1276.15 | − | 2157.53i | −0.317119 | − | 0.536138i | ||||
\(254\) | 1264.40 | 0.312346 | ||||||||
\(255\) | 190.324 | + | 219.645i | 0.0467393 | + | 0.0539400i | ||||
\(256\) | 1092.13 | + | 701.867i | 0.266632 | + | 0.171354i | ||||
\(257\) | 249.852 | − | 1737.76i | 0.0606433 | − | 0.421784i | −0.936772 | − | 0.349939i | \(-0.886202\pi\) |
0.997416 | − | 0.0718447i | \(-0.0228886\pi\) | |||||||
\(258\) | −583.422 | + | 1277.52i | −0.140784 | + | 0.308274i | ||||
\(259\) | −26.3453 | − | 183.235i | −0.00632052 | − | 0.0439602i | ||||
\(260\) | −3763.85 | − | 1105.17i | −0.897786 | − | 0.263614i | ||||
\(261\) | 5872.66 | − | 3774.13i | 1.39275 | − | 0.895069i | ||||
\(262\) | −2045.14 | − | 4478.23i | −0.482249 | − | 1.05598i | ||||
\(263\) | −3720.48 | + | 1092.43i | −0.872300 | + | 0.256130i | −0.687093 | − | 0.726569i | \(-0.741114\pi\) |
−0.185207 | + | 0.982700i | \(0.559295\pi\) | |||||||
\(264\) | −95.0078 | + | 109.645i | −0.0221490 | + | 0.0255613i | ||||
\(265\) | −808.017 | + | 932.501i | −0.187306 | + | 0.216163i | ||||
\(266\) | 596.196 | − | 175.059i | 0.137425 | − | 0.0403517i | ||||
\(267\) | −195.123 | − | 427.261i | −0.0447242 | − | 0.0979323i | ||||
\(268\) | 1898.73 | − | 1220.24i | 0.432774 | − | 0.278127i | ||||
\(269\) | 1084.10 | + | 318.321i | 0.245721 | + | 0.0721502i | 0.402274 | − | 0.915519i | \(-0.368220\pi\) |
−0.156553 | + | 0.987670i | \(0.550038\pi\) | |||||||
\(270\) | 119.211 | + | 829.128i | 0.0268701 | + | 0.186886i | ||||
\(271\) | 2166.22 | − | 4743.36i | 0.485566 | − | 1.06324i | −0.495329 | − | 0.868706i | \(-0.664952\pi\) |
0.980895 | − | 0.194537i | \(-0.0623203\pi\) | |||||||
\(272\) | −488.241 | + | 3395.79i | −0.108838 | + | 0.756985i | ||||
\(273\) | 66.8697 | + | 42.9746i | 0.0148247 | + | 0.00952725i | ||||
\(274\) | 3313.10 | + | 3823.52i | 0.730480 | + | 0.843019i | ||||
\(275\) | 568.132 | 0.124581 | ||||||||
\(276\) | −415.929 | − | 703.191i | −0.0907100 | − | 0.153359i | ||||
\(277\) | 7079.26 | 1.53557 | 0.767783 | − | 0.640710i | \(-0.221360\pi\) | ||||
0.767783 | + | 0.640710i | \(0.221360\pi\) | |||||||
\(278\) | 7714.42 | + | 8902.91i | 1.66432 | + | 1.92072i | ||||
\(279\) | 4482.88 | + | 2880.97i | 0.961947 | + | 0.618205i | ||||
\(280\) | −8.48336 | + | 59.0030i | −0.00181063 | + | 0.0125932i | ||||
\(281\) | −1434.12 | + | 3140.29i | −0.304458 | + | 0.666669i | −0.998585 | − | 0.0531833i | \(-0.983063\pi\) |
0.694127 | + | 0.719852i | \(0.255791\pi\) | |||||||
\(282\) | 168.112 | + | 1169.25i | 0.0354998 | + | 0.246907i | ||||
\(283\) | −6386.15 | − | 1875.14i | −1.34140 | − | 0.393871i | −0.469233 | − | 0.883074i | \(-0.655469\pi\) |
−0.872170 | + | 0.489203i | \(0.837288\pi\) | |||||||
\(284\) | −2299.23 | + | 1477.63i | −0.480403 | + | 0.308736i | ||||
\(285\) | −162.731 | − | 356.331i | −0.0338223 | − | 0.0740604i | ||||
\(286\) | −7238.52 | + | 2125.42i | −1.49658 | + | 0.439436i | ||||
\(287\) | −334.922 | + | 386.520i | −0.0688843 | + | 0.0794967i | ||||
\(288\) | −4403.67 | + | 5082.10i | −0.901002 | + | 1.03981i | ||||
\(289\) | −1239.19 | + | 363.858i | −0.252226 | + | 0.0740603i | ||||
\(290\) | −2327.70 | − | 5096.96i | −0.471336 | − | 1.03208i | ||||
\(291\) | 360.342 | − | 231.578i | 0.0725898 | − | 0.0466506i | ||||
\(292\) | 3824.71 | + | 1123.04i | 0.766521 | + | 0.225071i | ||||
\(293\) | −256.395 | − | 1783.26i | −0.0511220 | − | 0.355561i | −0.999286 | − | 0.0377800i | \(-0.987971\pi\) |
0.948164 | − | 0.317781i | \(-0.102938\pi\) | |||||||
\(294\) | −444.087 | + | 972.415i | −0.0880941 | + | 0.192899i | ||||
\(295\) | −69.4845 | + | 483.275i | −0.0137137 | + | 0.0953810i | ||||
\(296\) | 977.672 | + | 628.312i | 0.191980 | + | 0.123378i | ||||
\(297\) | 587.044 | + | 677.485i | 0.114693 | + | 0.132362i | ||||
\(298\) | −6178.51 | −1.20105 | ||||||||
\(299\) | 319.474 | − | 8616.07i | 0.0617914 | − | 1.66649i | ||||
\(300\) | 185.168 | 0.0356356 | ||||||||
\(301\) | 404.402 | + | 466.705i | 0.0774397 | + | 0.0893702i | ||||
\(302\) | 3234.37 | + | 2078.61i | 0.616283 | + | 0.396061i | ||||
\(303\) | 124.429 | − | 865.424i | 0.0235916 | − | 0.164083i | ||||
\(304\) | 1920.92 | − | 4206.24i | 0.362410 | − | 0.793566i | ||||
\(305\) | −549.943 | − | 3824.94i | −0.103245 | − | 0.718082i | ||||
\(306\) | −8491.67 | − | 2493.38i | −1.58639 | − | 0.465807i | ||||
\(307\) | −3717.39 | + | 2389.02i | −0.691083 | + | 0.444132i | −0.838471 | − | 0.544947i | \(-0.816550\pi\) |
0.147388 | + | 0.989079i | \(0.452914\pi\) | |||||||
\(308\) | 130.576 | + | 285.922i | 0.0241567 | + | 0.0528958i | ||||
\(309\) | 969.198 | − | 284.582i | 0.178433 | − | 0.0523926i | ||||
\(310\) | 2801.02 | − | 3232.55i | 0.513185 | − | 0.592247i | ||||
\(311\) | −3032.38 | + | 3499.56i | −0.552896 | + | 0.638076i | −0.961556 | − | 0.274611i | \(-0.911451\pi\) |
0.408659 | + | 0.912687i | \(0.365996\pi\) | |||||||
\(312\) | −478.805 | + | 140.590i | −0.0868813 | + | 0.0255107i | ||||
\(313\) | 1871.39 | + | 4097.78i | 0.337947 | + | 0.740001i | 0.999955 | − | 0.00949590i | \(-0.00302269\pi\) |
−0.662008 | + | 0.749497i | \(0.730295\pi\) | |||||||
\(314\) | 12864.8 | − | 8267.73i | 2.31212 | − | 1.48591i | ||||
\(315\) | 174.902 | + | 51.3557i | 0.0312844 | + | 0.00918593i | ||||
\(316\) | −25.5405 | − | 177.638i | −0.00454672 | − | 0.0316232i | ||||
\(317\) | 2385.92 | − | 5224.43i | 0.422734 | − | 0.925657i | −0.571717 | − | 0.820451i | \(-0.693722\pi\) |
0.994450 | − | 0.105206i | \(-0.0335503\pi\) | |||||||
\(318\) | −110.066 | + | 765.528i | −0.0194095 | + | 0.134996i | ||||
\(319\) | −5044.63 | − | 3241.99i | −0.885408 | − | 0.569017i | ||||
\(320\) | 2393.82 | + | 2762.61i | 0.418182 | + | 0.482608i | ||||
\(321\) | −250.704 | −0.0435917 | ||||||||
\(322\) | −641.961 | + | 68.1337i | −0.111103 | + | 0.0117917i | ||||
\(323\) | 8362.79 | 1.44061 | ||||||||
\(324\) | −4503.64 | − | 5197.48i | −0.772229 | − | 0.891200i | ||||
\(325\) | 1643.93 | + | 1056.49i | 0.280581 | + | 0.180318i | ||||
\(326\) | 1531.51 | − | 10651.9i | 0.260192 | − | 1.80967i | ||||
\(327\) | 430.920 | − | 943.582i | 0.0728743 | − | 0.159573i | ||||
\(328\) | −456.939 | − | 3178.08i | −0.0769215 | − | 0.535001i | ||||
\(329\) | 498.374 | + | 146.336i | 0.0835144 | + | 0.0245220i | ||||
\(330\) | 299.577 | − | 192.527i | 0.0499733 | − | 0.0321159i | ||||
\(331\) | 568.654 | + | 1245.18i | 0.0944292 | + | 0.206771i | 0.950952 | − | 0.309338i | \(-0.100107\pi\) |
−0.856523 | + | 0.516109i | \(0.827380\pi\) | |||||||
\(332\) | −8403.78 | + | 2467.57i | −1.38921 | + | 0.407909i | ||||
\(333\) | 2327.28 | − | 2685.83i | 0.382986 | − | 0.441990i | ||||
\(334\) | 1196.52 | − | 1380.86i | 0.196020 | − | 0.226219i | ||||
\(335\) | −1078.81 | + | 316.766i | −0.175945 | + | 0.0516620i | ||||
\(336\) | −18.3992 | − | 40.2887i | −0.00298738 | − | 0.00654145i | ||||
\(337\) | −896.894 | + | 576.399i | −0.144976 | + | 0.0931704i | −0.611118 | − | 0.791539i | \(-0.709280\pi\) |
0.466142 | + | 0.884710i | \(0.345644\pi\) | |||||||
\(338\) | −15944.8 | − | 4681.81i | −2.56592 | − | 0.753423i | ||||
\(339\) | −86.6100 | − | 602.386i | −0.0138761 | − | 0.0965107i | ||||
\(340\) | −1642.14 | + | 3595.79i | −0.261934 | + | 0.573556i | ||||
\(341\) | 651.441 | − | 4530.87i | 0.103453 | − | 0.719532i | ||||
\(342\) | 10035.1 | + | 6449.17i | 1.58666 | + | 1.01968i | ||||
\(343\) | 617.356 | + | 712.467i | 0.0971840 | + | 0.112156i | ||||
\(344\) | −3876.84 | −0.607632 | ||||||||
\(345\) | 100.114 | + | 394.483i | 0.0156230 | + | 0.0615601i | ||||
\(346\) | 568.328 | 0.0883049 | ||||||||
\(347\) | −6342.37 | − | 7319.48i | −0.981200 | − | 1.13236i | −0.991194 | − | 0.132415i | \(-0.957727\pi\) |
0.00999489 | − | 0.999950i | \(-0.496818\pi\) | |||||||
\(348\) | −1644.17 | − | 1056.64i | −0.253266 | − | 0.162764i | ||||
\(349\) | 52.3968 | − | 364.428i | 0.00803650 | − | 0.0558951i | −0.985409 | − | 0.170206i | \(-0.945557\pi\) |
0.993445 | + | 0.114311i | \(0.0364659\pi\) | |||||||
\(350\) | 60.7815 | − | 133.093i | 0.00928260 | − | 0.0203260i | ||||
\(351\) | 438.812 | + | 3052.00i | 0.0667294 | + | 0.464113i | ||||
\(352\) | 5542.45 | + | 1627.41i | 0.839243 | + | 0.246424i | ||||
\(353\) | 8328.91 | − | 5352.67i | 1.25582 | − | 0.807064i | 0.268110 | − | 0.963388i | \(-0.413601\pi\) |
0.987706 | + | 0.156324i | \(0.0499644\pi\) | |||||||
\(354\) | 127.131 | + | 278.379i | 0.0190875 | + | 0.0417957i | ||||
\(355\) | 1306.36 | − | 383.582i | 0.195308 | − | 0.0573476i | ||||
\(356\) | 4183.71 | − | 4828.26i | 0.622854 | − | 0.718812i | ||||
\(357\) | 52.4553 | − | 60.5366i | 0.00777655 | − | 0.00897462i | ||||
\(358\) | 10295.1 | − | 3022.90i | 1.51986 | − | 0.446272i | ||||
\(359\) | 1366.65 | + | 2992.55i | 0.200917 | + | 0.439947i | 0.983092 | − | 0.183112i | \(-0.0586171\pi\) |
−0.782175 | + | 0.623059i | \(0.785890\pi\) | |||||||
\(360\) | −962.704 | + | 618.692i | −0.140942 | + | 0.0905776i | ||||
\(361\) | −4234.10 | − | 1243.24i | −0.617306 | − | 0.181257i | ||||
\(362\) | −365.990 | − | 2545.52i | −0.0531381 | − | 0.369584i | ||||
\(363\) | −249.704 | + | 546.776i | −0.0361049 | + | 0.0790587i | ||||
\(364\) | −153.864 | + | 1070.15i | −0.0221557 | + | 0.154096i | ||||
\(365\) | −1670.51 | − | 1073.57i | −0.239557 | − | 0.153954i | ||||
\(366\) | −1586.17 | − | 1830.53i | −0.226531 | − | 0.261431i | ||||
\(367\) | 372.890 | 0.0530373 | 0.0265186 | − | 0.999648i | \(-0.491558\pi\) | ||||
0.0265186 | + | 0.999648i | \(0.491558\pi\) | |||||||
\(368\) | −2745.32 | + | 3942.54i | −0.388885 | + | 0.558476i | ||||
\(369\) | −9818.44 | −1.38517 | ||||||||
\(370\) | −1868.04 | − | 2155.84i | −0.262473 | − | 0.302910i | ||||
\(371\) | 286.085 | + | 183.856i | 0.0400345 | + | 0.0257286i | ||||
\(372\) | 212.320 | − | 1476.72i | 0.0295922 | − | 0.205818i | ||||
\(373\) | 4409.63 | − | 9655.75i | 0.612123 | − | 1.34036i | −0.308989 | − | 0.951066i | \(-0.599990\pi\) |
0.921112 | − | 0.389298i | \(-0.127282\pi\) | |||||||
\(374\) | 1081.92 | + | 7524.93i | 0.149585 | + | 1.04039i | ||||
\(375\) | −88.5059 | − | 25.9877i | −0.0121878 | − | 0.00357866i | ||||
\(376\) | −2743.18 | + | 1762.93i | −0.376247 | + | 0.241799i | ||||
\(377\) | −8568.23 | − | 18761.8i | −1.17052 | − | 2.56308i | ||||
\(378\) | 221.515 | − | 65.0427i | 0.0301415 | − | 0.00885036i | ||||
\(379\) | −6368.85 | + | 7350.04i | −0.863181 | + | 0.996164i | 0.136804 | + | 0.990598i | \(0.456317\pi\) |
−0.999985 | + | 0.00556577i | \(0.998228\pi\) | |||||||
\(380\) | 3489.17 | − | 4026.72i | 0.471028 | − | 0.543595i | ||||
\(381\) | −210.797 | + | 61.8957i | −0.0283451 | + | 0.00832287i | ||||
\(382\) | −4388.53 | − | 9609.54i | −0.587792 | − | 1.28709i | ||||
\(383\) | −4806.32 | + | 3088.84i | −0.641231 | + | 0.412094i | −0.820453 | − | 0.571714i | \(-0.806279\pi\) |
0.179221 | + | 0.983809i | \(0.442642\pi\) | |||||||
\(384\) | 758.648 | + | 222.759i | 0.100819 | + | 0.0296032i | ||||
\(385\) | −22.2842 | − | 154.990i | −0.00294989 | − | 0.0205169i | ||||
\(386\) | −5566.91 | + | 12189.8i | −0.734063 | + | 1.60737i | ||||
\(387\) | −1687.19 | + | 11734.6i | −0.221614 | + | 1.54136i | ||||
\(388\) | 4901.18 | + | 3149.79i | 0.641287 | + | 0.412130i | ||||
\(389\) | 6228.64 | + | 7188.24i | 0.811838 | + | 0.936911i | 0.998968 | − | 0.0454246i | \(-0.0144641\pi\) |
−0.187130 | + | 0.982335i | \(0.559919\pi\) | |||||||
\(390\) | 1224.87 | 0.159035 | ||||||||
\(391\) | −8548.35 | − | 1554.32i | −1.10565 | − | 0.201036i | ||||
\(392\) | −2950.96 | −0.380220 | ||||||||
\(393\) | 560.180 | + | 646.482i | 0.0719016 | + | 0.0829789i | ||||
\(394\) | −3038.90 | − | 1952.99i | −0.388573 | − | 0.249721i | ||||
\(395\) | −12.7231 | + | 88.4913i | −0.00162068 | + | 0.0112721i | ||||
\(396\) | −2506.76 | + | 5489.03i | −0.318104 | + | 0.696551i | ||||
\(397\) | −325.658 | − | 2265.00i | −0.0411695 | − | 0.286340i | −0.999997 | − | 0.00235193i | \(-0.999251\pi\) |
0.958828 | − | 0.283988i | \(-0.0916577\pi\) | |||||||
\(398\) | 17700.2 | + | 5197.24i | 2.22922 | + | 0.654557i | ||||
\(399\) | −90.8263 | + | 58.3705i | −0.0113960 | + | 0.00732376i | ||||
\(400\) | −452.327 | − | 990.458i | −0.0565409 | − | 0.123807i | ||||
\(401\) | −5841.56 | + | 1715.24i | −0.727465 | + | 0.213603i | −0.624437 | − | 0.781075i | \(-0.714671\pi\) |
−0.103029 | + | 0.994678i | \(0.532853\pi\) | |||||||
\(402\) | −461.512 | + | 532.614i | −0.0572591 | + | 0.0660805i | ||||
\(403\) | 10310.5 | − | 11899.0i | 1.27445 | − | 1.47079i | ||||
\(404\) | 11410.3 | − | 3350.38i | 1.40516 | − | 0.412593i | ||||
\(405\) | 1423.19 | + | 3116.34i | 0.174614 | + | 0.382351i | ||||
\(406\) | −1299.18 | + | 834.932i | −0.158811 | + | 0.102062i | ||||
\(407\) | −2929.12 | − | 860.066i | −0.356735 | − | 0.104747i | ||||
\(408\) | 71.5656 | + | 497.750i | 0.00868389 | + | 0.0603978i | ||||
\(409\) | −5174.16 | + | 11329.8i | −0.625539 | + | 1.36974i | 0.285882 | + | 0.958265i | \(0.407713\pi\) |
−0.911421 | + | 0.411475i | \(0.865014\pi\) | |||||||
\(410\) | −1121.58 | + | 7800.76i | −0.135100 | + | 0.939639i | ||||
\(411\) | −739.519 | − | 475.260i | −0.0887538 | − | 0.0570386i | ||||
\(412\) | 8997.15 | + | 10383.3i | 1.07587 | + | 1.24162i | ||||
\(413\) | 134.566 | 0.0160328 | ||||||||
\(414\) | −9059.13 | − | 8457.41i | −1.07544 | − | 1.00401i | ||||
\(415\) | 4363.12 | 0.516090 | ||||||||
\(416\) | 13011.1 | + | 15015.6i | 1.53347 | + | 1.76972i | ||||
\(417\) | −1721.94 | − | 1106.63i | −0.202216 | − | 0.129956i | ||||
\(418\) | 1458.28 | − | 10142.5i | 0.170638 | − | 1.18681i | ||||
\(419\) | −4361.89 | + | 9551.21i | −0.508574 | + | 1.11362i | 0.465013 | + | 0.885304i | \(0.346050\pi\) |
−0.973587 | + | 0.228317i | \(0.926678\pi\) | |||||||
\(420\) | −7.26294 | − | 50.5149i | −0.000843798 | − | 0.00586874i | ||||
\(421\) | 3381.01 | + | 992.753i | 0.391402 | + | 0.114926i | 0.471511 | − | 0.881860i | \(-0.343709\pi\) |
−0.0801092 | + | 0.996786i | \(0.525527\pi\) | |||||||
\(422\) | −10452.6 | + | 6717.46i | −1.20574 | + | 0.774884i | ||||
\(423\) | 4142.32 | + | 9070.42i | 0.476139 | + | 1.04260i | ||||
\(424\) | −2048.44 | + | 601.477i | −0.234625 | + | 0.0688923i | ||||
\(425\) | 1289.56 | − | 1488.23i | 0.147183 | − | 0.169859i | ||||
\(426\) | 558.859 | − | 644.958i | 0.0635606 | − | 0.0733528i | ||||
\(427\) | −1021.89 | + | 300.055i | −0.115815 | + | 0.0340063i | ||||
\(428\) | −1416.54 | − | 3101.79i | −0.159979 | − | 0.350305i | ||||
\(429\) | 1102.74 | − | 708.687i | 0.124104 | − | 0.0797569i | ||||
\(430\) | 9130.45 | + | 2680.94i | 1.02397 | + | 0.300666i | ||||
\(431\) | −1383.39 | − | 9621.69i | −0.154607 | − | 1.07531i | −0.908370 | − | 0.418168i | \(-0.862672\pi\) |
0.753763 | − | 0.657147i | \(-0.228237\pi\) | |||||||
\(432\) | 713.715 | − | 1562.82i | 0.0794875 | − | 0.174053i | ||||
\(433\) | 188.145 | − | 1308.58i | 0.0208815 | − | 0.145234i | −0.976713 | − | 0.214548i | \(-0.931172\pi\) |
0.997595 | + | 0.0693145i | \(0.0220812\pi\) | |||||||
\(434\) | −991.725 | − | 637.343i | −0.109687 | − | 0.0704918i | ||||
\(435\) | 637.576 | + | 735.802i | 0.0702746 | + | 0.0811012i | ||||
\(436\) | 14109.1 | 1.54978 | ||||||||
\(437\) | 10465.0 | + | 5256.25i | 1.14556 | + | 0.575379i | ||||
\(438\) | −1244.67 | −0.135782 | ||||||||
\(439\) | 2281.28 | + | 2632.74i | 0.248018 | + | 0.286228i | 0.866084 | − | 0.499898i | \(-0.166629\pi\) |
−0.618067 | + | 0.786126i | \(0.712084\pi\) | |||||||
\(440\) | 826.965 | + | 531.458i | 0.0896000 | + | 0.0575824i | ||||
\(441\) | −1284.25 | + | 8932.13i | −0.138672 | + | 0.964488i | ||||
\(442\) | −10862.6 | + | 23785.8i | −1.16896 | + | 2.55967i | ||||
\(443\) | −282.091 | − | 1961.99i | −0.0302541 | − | 0.210422i | 0.969087 | − | 0.246719i | \(-0.0793526\pi\) |
−0.999341 | + | 0.0362978i | \(0.988444\pi\) | |||||||
\(444\) | −954.669 | − | 280.316i | −0.102042 | − | 0.0299622i | ||||
\(445\) | −2677.34 | + | 1720.62i | −0.285209 | + | 0.183293i | ||||
\(446\) | −30.4003 | − | 66.5673i | −0.00322757 | − | 0.00706739i | ||||
\(447\) | 1030.06 | − | 302.454i | 0.108994 | − | 0.0320035i | ||||
\(448\) | 659.762 | − | 761.406i | 0.0695778 | − | 0.0802970i | ||||
\(449\) | −5264.97 | + | 6076.10i | −0.553384 | + | 0.638639i | −0.961668 | − | 0.274216i | \(-0.911582\pi\) |
0.408284 | + | 0.912855i | \(0.366127\pi\) | |||||||
\(450\) | 2695.13 | − | 791.361i | 0.282332 | − | 0.0829003i | ||||
\(451\) | 3503.64 | + | 7671.90i | 0.365809 | + | 0.801010i | ||||
\(452\) | 6963.54 | − | 4475.20i | 0.724640 | − | 0.465698i | ||||
\(453\) | −640.978 | − | 188.208i | −0.0664807 | − | 0.0195205i | ||||
\(454\) | −2376.51 | − | 16529.0i | −0.245672 | − | 1.70868i | ||||
\(455\) | 223.735 | − | 489.912i | 0.0230525 | − | 0.0504779i | ||||
\(456\) | 96.4603 | − | 670.896i | 0.00990607 | − | 0.0688982i | ||||
\(457\) | −7675.11 | − | 4932.50i | −0.785616 | − | 0.504885i | 0.0852768 | − | 0.996357i | \(-0.472823\pi\) |
−0.870893 | + | 0.491472i | \(0.836459\pi\) | |||||||
\(458\) | 12579.4 | + | 14517.4i | 1.28340 | + | 1.48112i | ||||
\(459\) | 3107.17 | 0.315971 | ||||||||
\(460\) | −4315.00 | + | 3467.56i | −0.437365 | + | 0.351470i | ||||
\(461\) | 9726.44 | 0.982658 | 0.491329 | − | 0.870974i | \(-0.336511\pi\) | ||||
0.491329 | + | 0.870974i | \(0.336511\pi\) | |||||||
\(462\) | −64.2729 | − | 74.1749i | −0.00647239 | − | 0.00746954i | ||||
\(463\) | −9782.97 | − | 6287.14i | −0.981973 | − | 0.631076i | −0.0519779 | − | 0.998648i | \(-0.516553\pi\) |
−0.929995 | + | 0.367573i | \(0.880189\pi\) | |||||||
\(464\) | −1635.59 | + | 11375.8i | −0.163643 | + | 1.13816i | ||||
\(465\) | −308.736 | + | 676.038i | −0.0307899 | + | 0.0674205i | ||||
\(466\) | −1513.73 | − | 10528.2i | −0.150477 | − | 1.04659i | ||||
\(467\) | −10451.0 | − | 3068.70i | −1.03558 | − | 0.304074i | −0.280603 | − | 0.959824i | \(-0.590535\pi\) |
−0.754978 | + | 0.655750i | \(0.772353\pi\) | |||||||
\(468\) | −17460.8 | + | 11221.3i | −1.72462 | + | 1.10835i | ||||
\(469\) | 128.730 | + | 281.880i | 0.0126742 | + | 0.0277527i | ||||
\(470\) | 7679.64 | − | 2254.95i | 0.753693 | − | 0.221304i | ||||
\(471\) | −1740.06 | + | 2008.14i | −0.170229 | + | 0.196454i | ||||
\(472\) | −553.220 | + | 638.449i | −0.0539491 | + | 0.0622606i | ||||
\(473\) | 9771.22 | − | 2869.09i | 0.949855 | − | 0.278903i | ||||
\(474\) | 23.2787 | + | 50.9732i | 0.00225575 | + | 0.00493940i | ||||
\(475\) | −2232.88 | + | 1434.98i | −0.215687 | + | 0.138614i | ||||
\(476\) | 1045.36 | + | 306.946i | 0.100660 | + | 0.0295564i | ||||
\(477\) | 929.109 | + | 6462.10i | 0.0891844 | + | 0.620291i | ||||
\(478\) | 4570.36 | − | 10007.7i | 0.437329 | − | 0.957618i | ||||
\(479\) | 133.609 | − | 929.272i | 0.0127448 | − | 0.0886420i | −0.982456 | − | 0.186493i | \(-0.940288\pi\) |
0.995201 | + | 0.0978511i | \(0.0311969\pi\) | |||||||
\(480\) | −788.983 | − | 507.048i | −0.0750249 | − | 0.0482156i | ||||
\(481\) | −6876.22 | − | 7935.59i | −0.651827 | − | 0.752249i | ||||
\(482\) | −2464.65 | −0.232908 | ||||||||
\(483\) | 103.690 | − | 42.7846i | 0.00976827 | − | 0.00403057i | ||||
\(484\) | −8175.78 | −0.767823 | ||||||||
\(485\) | −1900.58 | − | 2193.39i | −0.177940 | − | 0.205354i | ||||
\(486\) | 5611.77 | + | 3606.47i | 0.523776 | + | 0.336611i | ||||
\(487\) | 740.065 | − | 5147.26i | 0.0688615 | − | 0.478942i | −0.925986 | − | 0.377558i | \(-0.876764\pi\) |
0.994847 | − | 0.101384i | \(-0.0323271\pi\) | |||||||
\(488\) | 2777.54 | − | 6081.96i | 0.257650 | − | 0.564175i | ||||
\(489\) | 266.108 | + | 1850.82i | 0.0246090 | + | 0.171160i | ||||
\(490\) | 6949.88 | + | 2040.67i | 0.640742 | + | 0.188139i | ||||
\(491\) | −9750.97 | + | 6266.57i | −0.896243 | + | 0.575980i | −0.905674 | − | 0.423975i | \(-0.860634\pi\) |
0.00943089 | + | 0.999956i | \(0.496998\pi\) | |||||||
\(492\) | 1141.92 | + | 2500.45i | 0.104638 | + | 0.229124i | ||||
\(493\) | −19942.9 | + | 5855.76i | −1.82187 | + | 0.534950i | ||||
\(494\) | 23080.5 | − | 26636.3i | 2.10210 | − | 2.42596i | ||||
\(495\) | 1968.54 | − | 2271.81i | 0.178746 | − | 0.206284i | ||||
\(496\) | −8417.58 | + | 2471.62i | −0.762017 | + | 0.223748i | ||||
\(497\) | −155.883 | − | 341.337i | −0.0140691 | − | 0.0308069i | ||||
\(498\) | 2300.69 | − | 1478.56i | 0.207020 | − | 0.133044i | ||||
\(499\) | −17542.2 | − | 5150.86i | −1.57374 | − | 0.462093i | −0.625655 | − | 0.780100i | \(-0.715168\pi\) |
−0.948088 | + | 0.318007i | \(0.896986\pi\) | |||||||
\(500\) | −178.552 | − | 1241.86i | −0.0159702 | − | 0.111075i | ||||
\(501\) | −131.884 | + | 288.785i | −0.0117607 | + | 0.0257524i | ||||
\(502\) | 3351.90 | − | 23313.0i | 0.298013 | − | 2.07273i | ||||
\(503\) | −3594.16 | − | 2309.83i | −0.318600 | − | 0.204752i | 0.371559 | − | 0.928409i | \(-0.378823\pi\) |
−0.690159 | + | 0.723657i | \(0.742460\pi\) | |||||||
\(504\) | 206.543 | + | 238.364i | 0.0182543 | + | 0.0210666i | ||||
\(505\) | −5924.09 | −0.522017 | ||||||||
\(506\) | −3375.74 | + | 10096.6i | −0.296581 | + | 0.887048i | ||||
\(507\) | 2887.45 | 0.252931 | ||||||||
\(508\) | −1956.85 | − | 2258.33i | −0.170908 | − | 0.197238i | ||||
\(509\) | 11962.0 | + | 7687.52i | 1.04166 | + | 0.669437i | 0.945398 | − | 0.325918i | \(-0.105673\pi\) |
0.0962667 | + | 0.995356i | \(0.469310\pi\) | |||||||
\(510\) | 175.661 | − | 1221.75i | 0.0152518 | − | 0.106079i | ||||
\(511\) | −227.353 | + | 497.833i | −0.0196820 | + | 0.0430975i | ||||
\(512\) | −2004.54 | − | 13941.9i | −0.173025 | − | 1.20342i | ||||
\(513\) | −4018.39 | − | 1179.90i | −0.345840 | − | 0.101548i | ||||
\(514\) | −6272.52 | + | 4031.10i | −0.538267 | + | 0.345923i | ||||
\(515\) | −2843.17 | − | 6225.67i | −0.243272 | − | 0.532691i | ||||
\(516\) | 3184.67 | − | 935.105i | 0.271700 | − | 0.0797785i | ||||
\(517\) | 5609.25 | − | 6473.43i | 0.477166 | − | 0.550679i | ||||
\(518\) | −514.854 | + | 594.173i | −0.0436706 | + | 0.0503985i | ||||
\(519\) | −94.7499 | + | 27.8211i | −0.00801360 | + | 0.00235300i | ||||
\(520\) | 1404.59 | + | 3075.62i | 0.118452 | + | 0.259374i | ||||
\(521\) | 7783.86 | − | 5002.38i | 0.654543 | − | 0.420649i | −0.170781 | − | 0.985309i | \(-0.554629\pi\) |
0.825324 | + | 0.564660i | \(0.190993\pi\) | |||||||
\(522\) | −28446.7 | − | 8352.72i | −2.38521 | − | 0.700361i | ||||
\(523\) | 1219.78 | + | 8483.74i | 0.101983 | + | 0.709308i | 0.975095 | + | 0.221788i | \(0.0711892\pi\) |
−0.873112 | + | 0.487520i | \(0.837902\pi\) | |||||||
\(524\) | −4833.32 | + | 10583.5i | −0.402948 | + | 0.882333i | ||||
\(525\) | −3.61807 | + | 25.1642i | −0.000300773 | + | 0.00209192i | ||||
\(526\) | 13853.7 | + | 8903.26i | 1.14839 | + | 0.738024i | ||||
\(527\) | −10390.1 | − | 11990.8i | −0.858819 | − | 0.991130i | ||||
\(528\) | −730.399 | −0.0602017 | ||||||||
\(529\) | −9720.29 | − | 7317.92i | −0.798906 | − | 0.601456i | ||||
\(530\) | 5240.27 | 0.429477 | ||||||||
\(531\) | 1691.73 | + | 1952.36i | 0.138258 | + | 0.159558i | ||||
\(532\) | −1235.37 | − | 793.923i | −0.100677 | − | 0.0647010i | ||||
\(533\) | −4128.51 | + | 28714.4i | −0.335508 | + | 2.33351i | ||||
\(534\) | −828.690 | + | 1814.58i | −0.0671553 | + | 0.147049i | ||||
\(535\) | 241.747 | + | 1681.39i | 0.0195358 | + | 0.135874i | ||||
\(536\) | −1866.61 | − | 548.087i | −0.150420 | − | 0.0441674i | ||||
\(537\) | −1568.38 | + | 1007.94i | −0.126035 | + | 0.0809976i | ||||
\(538\) | −1993.40 | − | 4364.93i | −0.159742 | − | 0.349787i | ||||
\(539\) | 7437.62 | − | 2183.88i | 0.594362 | − | 0.174520i | ||||
\(540\) | 1296.39 | − | 1496.12i | 0.103311 | − | 0.119227i | ||||
\(541\) | 8381.14 | − | 9672.35i | 0.666051 | − | 0.768663i | −0.317702 | − | 0.948190i | \(-0.602911\pi\) |
0.983753 | + | 0.179527i | \(0.0574567\pi\) | |||||||
\(542\) | −21249.3 | + | 6239.36i | −1.68401 | + | 0.494471i | ||||
\(543\) | 185.626 | + | 406.464i | 0.0146703 | + | 0.0321235i | ||||
\(544\) | 16843.4 | − | 10824.6i | 1.32749 | − | 0.853128i | ||||
\(545\) | −6743.81 | − | 1980.16i | −0.530043 | − | 0.155635i | ||||
\(546\) | −48.0436 | − | 334.150i | −0.00376571 | − | 0.0261911i | ||||
\(547\) | 7493.59 | − | 16408.7i | 0.585745 | − | 1.28260i | −0.352234 | − | 0.935912i | \(-0.614578\pi\) |
0.937979 | − | 0.346691i | \(-0.112695\pi\) | |||||||
\(548\) | 1701.60 | − | 11834.9i | 0.132644 | − | 0.922558i | ||||
\(549\) | −17200.4 | − | 11054.0i | −1.33715 | − | 0.859335i | ||||
\(550\) | −1580.09 | − | 1823.52i | −0.122500 | − | 0.141373i | ||||
\(551\) | 28015.0 | 2.16602 | ||||||||
\(552\) | −223.294 | + | 667.855i | −0.0172174 | + | 0.0514960i | ||||
\(553\) | 24.6400 | 0.00189475 | ||||||||
\(554\) | −19688.8 | − | 22722.1i | −1.50992 | − | 1.74254i | ||||
\(555\) | 416.968 | + | 267.969i | 0.0318906 | + | 0.0204949i | ||||
\(556\) | 3962.12 | − | 27557.1i | 0.302214 | − | 2.10195i | ||||
\(557\) | −10695.5 | + | 23419.9i | −0.813616 | + | 1.78157i | −0.222603 | + | 0.974909i | \(0.571455\pi\) |
−0.591014 | + | 0.806662i | \(0.701272\pi\) | |||||||
\(558\) | −3220.79 | − | 22401.1i | −0.244350 | − | 1.69949i | ||||
\(559\) | 33609.0 | + | 9868.48i | 2.54295 | + | 0.746677i | ||||
\(560\) | −252.461 | + | 162.247i | −0.0190507 | + | 0.0122432i | ||||
\(561\) | −548.738 | − | 1201.57i | −0.0412972 | − | 0.0904283i | ||||
\(562\) | 14067.9 | − | 4130.70i | 1.05590 | − | 0.310041i | ||||
\(563\) | −9641.05 | + | 11126.4i | −0.721708 | + | 0.832896i | −0.991511 | − | 0.130020i | \(-0.958496\pi\) |
0.269803 | + | 0.962915i | \(0.413041\pi\) | |||||||
\(564\) | 1828.19 | − | 2109.84i | 0.136491 | − | 0.157518i | ||||
\(565\) | −3956.49 | + | 1161.73i | −0.294603 | + | 0.0865032i | ||||
\(566\) | 11742.5 | + | 25712.6i | 0.872041 | + | 1.90950i | ||||
\(567\) | 794.334 | − | 510.488i | 0.0588340 | − | 0.0378103i | ||||
\(568\) | 2260.34 | + | 663.695i | 0.166975 | + | 0.0490282i | ||||
\(569\) | −2242.82 | − | 15599.2i | −0.165244 | − | 1.14930i | −0.888553 | − | 0.458774i | \(-0.848289\pi\) |
0.723309 | − | 0.690525i | \(-0.242620\pi\) | |||||||
\(570\) | −691.119 | + | 1513.34i | −0.0507856 | + | 0.111205i | ||||
\(571\) | −2169.64 | + | 15090.2i | −0.159013 | + | 1.10596i | 0.741443 | + | 0.671016i | \(0.234142\pi\) |
−0.900456 | + | 0.434947i | \(0.856767\pi\) | |||||||
\(572\) | 14998.8 | + | 9639.16i | 1.09639 | + | 0.704604i | ||||
\(573\) | 1202.05 | + | 1387.24i | 0.0876378 | + | 0.101139i | ||||
\(574\) | 2172.08 | 0.157946 | ||||||||
\(575\) | 2549.13 | − | 1051.82i | 0.184880 | − | 0.0762850i | ||||
\(576\) | 19341.4 | 1.39911 | ||||||||
\(577\) | 10893.8 | + | 12572.1i | 0.785985 | + | 0.907075i | 0.997526 | − | 0.0702938i | \(-0.0223937\pi\) |
−0.211541 | + | 0.977369i | \(0.567848\pi\) | |||||||
\(578\) | 4614.29 | + | 2965.42i | 0.332057 | + | 0.213400i | ||||
\(579\) | 331.375 | − | 2304.76i | 0.0237849 | − | 0.165428i | ||||
\(580\) | −5501.11 | + | 12045.8i | −0.393830 | + | 0.862367i | ||||
\(581\) | −171.137 | − | 1190.29i | −0.0122203 | − | 0.0849937i | ||||
\(582\) | −1745.47 | − | 512.516i | −0.124316 | − | 0.0365026i | ||||
\(583\) | 4717.78 | − | 3031.93i | 0.335147 | − | 0.215386i | ||||
\(584\) | −1427.30 | − | 3125.34i | −0.101133 | − | 0.221451i | ||||
\(585\) | 9920.71 | − | 2912.98i | 0.701147 | − | 0.205875i | ||||
\(586\) | −5010.61 | + | 5782.55i | −0.353219 | + | 0.407636i | ||||
\(587\) | 17574.4 | − | 20281.9i | 1.23573 | − | 1.42611i | 0.367439 | − | 0.930047i | \(-0.380235\pi\) |
0.868289 | − | 0.496059i | \(-0.165220\pi\) | |||||||
\(588\) | 2424.10 | − | 711.780i | 0.170014 | − | 0.0499206i | ||||
\(589\) | 8883.72 | + | 19452.6i | 0.621473 | + | 1.36084i | ||||
\(590\) | 1744.41 | − | 1121.06i | 0.121722 | − | 0.0782260i | ||||
\(591\) | 602.240 | + | 176.834i | 0.0419168 | + | 0.0123079i | ||||
\(592\) | 832.657 | + | 5791.25i | 0.0578074 | + | 0.402059i | ||||
\(593\) | 4717.19 | − | 10329.2i | 0.326664 | − | 0.715294i | −0.673041 | − | 0.739606i | \(-0.735012\pi\) |
0.999704 | + | 0.0243116i | \(0.00773937\pi\) | |||||||
\(594\) | 541.819 | − | 3768.44i | 0.0374261 | − | 0.260304i | ||||
\(595\) | −456.580 | − | 293.426i | −0.0314588 | − | 0.0202173i | ||||
\(596\) | 9562.15 | + | 11035.3i | 0.657183 | + | 0.758430i | ||||
\(597\) | −3205.33 | −0.219741 | ||||||||
\(598\) | −28543.3 | + | 22937.6i | −1.95187 | + | 1.56854i | ||||
\(599\) | −16435.3 | −1.12108 | −0.560540 | − | 0.828128i | \(-0.689406\pi\) | ||||
−0.560540 | + | 0.828128i | \(0.689406\pi\) | |||||||
\(600\) | −104.518 | − | 120.620i | −0.00711153 | − | 0.00820714i | ||||
\(601\) | −21395.4 | − | 13750.0i | −1.45214 | − | 0.933232i | −0.999129 | − | 0.0417263i | \(-0.986714\pi\) |
−0.453009 | − | 0.891506i | \(-0.649649\pi\) | |||||||
\(602\) | 373.248 | − | 2595.99i | 0.0252698 | − | 0.175756i | ||||
\(603\) | −2471.32 | + | 5411.43i | −0.166899 | + | 0.365457i | ||||
\(604\) | −1293.11 | − | 8993.80i | −0.0871126 | − | 0.605882i | ||||
\(605\) | 3907.83 | + | 1147.44i | 0.262605 | + | 0.0771077i | ||||
\(606\) | −3123.79 | + | 2007.54i | −0.209398 | + | 0.134572i | ||||
\(607\) | −4673.03 | − | 10232.5i | −0.312475 | − | 0.684225i | 0.686609 | − | 0.727027i | \(-0.259099\pi\) |
−0.999084 | + | 0.0428025i | \(0.986371\pi\) | |||||||
\(608\) | −25893.4 | + | 7603.00i | −1.72717 | + | 0.507142i | ||||
\(609\) | 175.723 | − | 202.795i | 0.0116924 | − | 0.0134937i | ||||
\(610\) | −10747.3 | + | 12403.0i | −0.713352 | + | 0.823252i | ||||
\(611\) | 28268.6 | − | 8300.41i | 1.87173 | − | 0.549588i | ||||
\(612\) | 8688.73 | + | 19025.7i | 0.573890 | + | 1.25664i | ||||
\(613\) | 8317.46 | − | 5345.30i | 0.548024 | − | 0.352194i | −0.237146 | − | 0.971474i | \(-0.576212\pi\) |
0.785170 | + | 0.619280i | \(0.212576\pi\) | |||||||
\(614\) | 18006.7 | + | 5287.26i | 1.18354 | + | 0.347518i | ||||
\(615\) | −194.880 | − | 1355.42i | −0.0127778 | − | 0.0888714i | ||||
\(616\) | 112.548 | − | 246.447i | 0.00736153 | − | 0.0161195i | ||||
\(617\) | 1651.86 | − | 11488.9i | 0.107782 | − | 0.749637i | −0.862219 | − | 0.506535i | \(-0.830926\pi\) |
0.970001 | − | 0.243102i | \(-0.0781649\pi\) | |||||||
\(618\) | −3608.94 | − | 2319.33i | −0.234908 | − | 0.150966i | ||||
\(619\) | 14995.8 | + | 17306.1i | 0.973719 | + | 1.12373i | 0.992294 | + | 0.123904i | \(0.0395414\pi\) |
−0.0185757 | + | 0.999827i | \(0.505913\pi\) | |||||||
\(620\) | −10108.6 | −0.654792 | ||||||||
\(621\) | 3888.25 | + | 1952.95i | 0.251256 | + | 0.126198i | ||||
\(622\) | 19666.1 | 1.26775 | ||||||||
\(623\) | 574.411 | + | 662.905i | 0.0369395 | + | 0.0426304i | ||||
\(624\) | −2113.46 | − | 1358.24i | −0.135586 | − | 0.0871361i | ||||
\(625\) | −88.9468 | + | 618.638i | −0.00569259 | + | 0.0395929i | ||||
\(626\) | 7947.82 | − | 17403.3i | 0.507442 | − | 1.11114i | ||||
\(627\) | 253.383 | + | 1762.32i | 0.0161390 | + | 0.112249i | ||||
\(628\) | −34677.0 | − | 10182.1i | −2.20345 | − | 0.646990i | ||||
\(629\) | −8901.55 | + | 5720.68i | −0.564274 | + | 0.362637i | ||||
\(630\) | −321.600 | − | 704.207i | −0.0203379 | − | 0.0445338i | ||||
\(631\) | −3247.73 | + | 953.619i | −0.204897 | + | 0.0601632i | −0.382571 | − | 0.923926i | \(-0.624961\pi\) |
0.177673 | + | 0.984089i | \(0.443143\pi\) | |||||||
\(632\) | −101.299 | + | 116.905i | −0.00637570 | + | 0.00735795i | ||||
\(633\) | 1413.78 | − | 1631.59i | 0.0887723 | − | 0.102449i | ||||
\(634\) | −23404.4 | + | 6872.16i | −1.46610 | + | 0.430486i | ||||
\(635\) | 618.380 | + | 1354.06i | 0.0386451 | + | 0.0846211i | ||||
\(636\) | 1537.64 | − | 988.179i | 0.0958668 | − | 0.0616098i | ||||
\(637\) | 25582.3 | + | 7511.66i | 1.59122 | + | 0.467225i | ||||
\(638\) | 3624.39 | + | 25208.2i | 0.224908 | + | 1.56427i | ||||
\(639\) | 2992.59 | − | 6552.87i | 0.185266 | − | 0.405677i | ||||
\(640\) | 762.428 | − | 5302.80i | 0.0470900 | − | 0.327518i | ||||
\(641\) | −6203.31 | − | 3986.63i | −0.382240 | − | 0.245651i | 0.335384 | − | 0.942082i | \(-0.391134\pi\) |
−0.717624 | + | 0.696431i | \(0.754770\pi\) | |||||||
\(642\) | 697.257 | + | 804.677i | 0.0428638 | + | 0.0494674i | ||||
\(643\) | 30423.3 | 1.86591 | 0.932953 | − | 0.359998i | \(-0.117223\pi\) | ||||
0.932953 | + | 0.359998i | \(0.117223\pi\) | |||||||
\(644\) | 1115.22 | + | 1041.15i | 0.0682389 | + | 0.0637064i | ||||
\(645\) | −1653.44 | −0.100937 | ||||||||
\(646\) | −23258.5 | − | 26841.8i | −1.41656 | − | 1.63479i | ||||
\(647\) | −10816.9 | − | 6951.57i | −0.657271 | − | 0.422402i | 0.169046 | − | 0.985608i | \(-0.445931\pi\) |
−0.826317 | + | 0.563206i | \(0.809568\pi\) | |||||||
\(648\) | −843.608 | + | 5867.42i | −0.0511420 | + | 0.355701i | ||||
\(649\) | 921.849 | − | 2018.57i | 0.0557561 | − | 0.122089i | ||||
\(650\) | −1181.10 | − | 8214.76i | −0.0712719 | − | 0.495707i | ||||
\(651\) | 196.537 | + | 57.7084i | 0.0118324 | + | 0.00347430i | ||||
\(652\) | −21395.4 | + | 13750.0i | −1.28513 | + | 0.825905i | ||||
\(653\) | 1165.32 | + | 2551.69i | 0.0698352 | + | 0.152918i | 0.941331 | − | 0.337486i | \(-0.109577\pi\) |
−0.871495 | + | 0.490404i | \(0.836849\pi\) | |||||||
\(654\) | −4227.06 | + | 1241.18i | −0.252739 | + | 0.0742108i | ||||
\(655\) | 3795.57 | − | 4380.32i | 0.226420 | − | 0.261303i | ||||
\(656\) | 10585.4 | − | 12216.2i | 0.630015 | − | 0.727076i | ||||
\(657\) | −10081.1 | + | 2960.08i | −0.598632 | + | 0.175774i | ||||
\(658\) | −916.385 | − | 2006.60i | −0.0542924 | − | 0.118884i | ||||
\(659\) | −7497.30 | + | 4818.22i | −0.443176 | + | 0.284812i | −0.743137 | − | 0.669140i | \(-0.766663\pi\) |
0.299961 | + | 0.953952i | \(0.403026\pi\) | |||||||
\(660\) | −807.508 | − | 237.106i | −0.0476246 | − | 0.0139838i | ||||
\(661\) | 1049.99 | + | 7302.83i | 0.0617849 | + | 0.429723i | 0.997112 | + | 0.0759403i | \(0.0241958\pi\) |
−0.935327 | + | 0.353783i | \(0.884895\pi\) | |||||||
\(662\) | 2415.08 | − | 5288.28i | 0.141789 | − | 0.310476i | ||||
\(663\) | 646.606 | − | 4497.24i | 0.0378764 | − | 0.263436i | ||||
\(664\) | 6350.90 | + | 4081.47i | 0.371179 | + | 0.238542i | ||||
\(665\) | 479.053 | + | 552.856i | 0.0279351 | + | 0.0322389i | ||||
\(666\) | −15093.3 | −0.878156 | ||||||||
\(667\) | −28636.6 | − | 5206.90i | −1.66239 | − | 0.302267i | ||||
\(668\) | −4318.12 | −0.250109 | ||||||||
\(669\) | 8.32688 | + | 9.60973i | 0.000481219 | + | 0.000555357i | ||||
\(670\) | 4017.08 | + | 2581.62i | 0.231632 | + | 0.148861i | ||||
\(671\) | −2499.52 | + | 17384.6i | −0.143805 | + | 1.00018i | ||||
\(672\) | −107.379 | + | 235.127i | −0.00616404 | + | 0.0134974i | ||||
\(673\) | 485.324 | + | 3375.50i | 0.0277977 | + | 0.193337i | 0.998989 | − | 0.0449658i | \(-0.0143179\pi\) |
−0.971191 | + | 0.238303i | \(0.923409\pi\) | |||||||
\(674\) | 4344.49 | + | 1275.66i | 0.248284 | + | 0.0729027i | ||||
\(675\) | −829.620 | + | 533.164i | −0.0473068 | + | 0.0304022i | ||||
\(676\) | 16314.8 | + | 35724.4i | 0.928244 | + | 2.03257i | ||||
\(677\) | 11464.0 | − | 3366.13i | 0.650808 | − | 0.191095i | 0.0603684 | − | 0.998176i | \(-0.480772\pi\) |
0.590440 | + | 0.807082i | \(0.298954\pi\) | |||||||
\(678\) | −1692.58 | + | 1953.34i | −0.0958749 | + | 0.110646i | ||||
\(679\) | −523.822 | + | 604.523i | −0.0296059 | + | 0.0341671i | ||||
\(680\) | 3269.23 | − | 959.934i | 0.184367 | − | 0.0541350i | ||||
\(681\) | 1205.34 | + | 2639.32i | 0.0678247 | + | 0.148515i | ||||
\(682\) | −16354.4 | + | 10510.3i | −0.918243 | + | 0.590119i | ||||
\(683\) | −22390.2 | − | 6574.36i | −1.25438 | − | 0.368318i | −0.413977 | − | 0.910287i | \(-0.635861\pi\) |
−0.840398 | + | 0.541969i | \(0.817679\pi\) | |||||||
\(684\) | −4012.07 | − | 27904.5i | −0.224277 | − | 1.55988i | ||||
\(685\) | −2474.31 | + | 5417.99i | −0.138013 | + | 0.302206i | ||||
\(686\) | 569.796 | − | 3963.02i | 0.0317127 | − | 0.220567i | ||||
\(687\) | −2807.86 | − | 1804.50i | −0.155934 | − | 0.100213i | ||||
\(688\) | −12781.4 | − | 14750.5i | −0.708262 | − | 0.817378i | ||||
\(689\) | 19289.3 | 1.06657 | ||||||||
\(690\) | 987.724 | − | 1418.47i | 0.0544957 | − | 0.0782610i | ||||
\(691\) | 8373.85 | 0.461007 | 0.230504 | − | 0.973071i | \(-0.425963\pi\) | ||||
0.230504 | + | 0.973071i | \(0.425963\pi\) | |||||||
\(692\) | −879.571 | − | 1015.08i | −0.0483183 | − | 0.0557623i | ||||
\(693\) | −696.977 | − | 447.920i | −0.0382048 | − | 0.0245528i | ||||
\(694\) | −5853.77 | + | 40713.8i | −0.320181 | + | 2.22691i | ||||
\(695\) | −5761.34 | + | 12615.6i | −0.314446 | + | 0.688541i | ||||
\(696\) | 239.742 | + | 1667.44i | 0.0130566 | + | 0.0908107i | ||||
\(697\) | 28049.3 | + | 8236.03i | 1.52431 | + | 0.447578i | ||||
\(698\) | −1315.42 | + | 845.369i | −0.0713315 | + | 0.0458420i | ||||
\(699\) | 767.746 | + | 1681.13i | 0.0415434 | + | 0.0909673i | ||||
\(700\) | −331.783 | + | 97.4202i | −0.0179146 | + | 0.00526020i | ||||
\(701\) | 3162.63 | − | 3649.87i | 0.170401 | − | 0.196653i | −0.664125 | − | 0.747621i | \(-0.731196\pi\) |
0.834526 | + | 0.550968i | \(0.185741\pi\) | |||||||
\(702\) | 8575.50 | − | 9896.65i | 0.461056 | − | 0.532087i | ||||
\(703\) | 13684.4 | − | 4018.09i | 0.734162 | − | 0.215569i | ||||
\(704\) | −6901.82 | − | 15112.9i | −0.369492 | − | 0.809074i | ||||
\(705\) | −1169.94 | + | 751.875i | −0.0625000 | + | 0.0401663i | ||||
\(706\) | −40344.6 | − | 11846.2i | −2.15069 | − | 0.631501i | ||||
\(707\) | 232.364 | + | 1616.13i | 0.0123606 | + | 0.0859699i | ||||
\(708\) | 300.452 | − | 657.899i | 0.0159487 | − | 0.0349228i | ||||
\(709\) | −1865.71 | + | 12976.3i | −0.0988266 | + | 0.687354i | 0.878828 | + | 0.477138i | \(0.158326\pi\) |
−0.977655 | + | 0.210216i | \(0.932583\pi\) | |||||||
\(710\) | −4864.41 | − | 3126.17i | −0.257124 | − | 0.165244i | ||||
\(711\) | 309.769 | + | 357.492i | 0.0163393 | + | 0.0188566i | ||||
\(712\) | −5506.65 | −0.289846 | ||||||||
\(713\) | −5465.36 | − | 21535.4i | −0.287068 | − | 1.13115i | ||||
\(714\) | −340.191 | −0.0178310 | ||||||||
\(715\) | −5816.26 | − | 6712.33i | −0.304218 | − | 0.351086i | ||||
\(716\) | −21332.3 | − | 13709.4i | −1.11344 | − | 0.715565i | ||||
\(717\) | −272.055 | + | 1892.18i | −0.0141702 | + | 0.0985562i | ||||
\(718\) | 5804.18 | − | 12709.4i | 0.301685 | − | 0.660599i | ||||
\(719\) | 57.9513 | + | 403.060i | 0.00300587 | + | 0.0209063i | 0.991269 | − | 0.131854i | \(-0.0420929\pi\) |
−0.988263 | + | 0.152760i | \(0.951184\pi\) | |||||||
\(720\) | −5527.86 | − | 1623.13i | −0.286127 | − | 0.0840144i | ||||
\(721\) | −1586.88 | + | 1019.83i | −0.0819674 | + | 0.0526773i | ||||
\(722\) | 7785.46 | + | 17047.8i | 0.401309 | + | 0.878743i | ||||
\(723\) | 410.898 | − | 120.651i | 0.0211362 | − | 0.00620615i | ||||
\(724\) | −3980.07 | + | 4593.25i | −0.204307 | + | 0.235783i | ||||
\(725\) | 4319.98 | − | 4985.53i | 0.221297 | − | 0.255390i | ||||
\(726\) | 2449.45 | − | 719.223i | 0.125217 | − | 0.0367670i | ||||
\(727\) | −1398.53 | − | 3062.36i | −0.0713462 | − | 0.156226i | 0.870599 | − | 0.491994i | \(-0.163732\pi\) |
−0.941945 | + | 0.335767i | \(0.891004\pi\) | |||||||
\(728\) | 783.953 | − | 503.816i | 0.0399110 | − | 0.0256493i | ||||
\(729\) | 16638.6 | + | 4885.52i | 0.845327 | + | 0.248210i | ||||
\(730\) | 1200.20 | + | 8347.58i | 0.0608512 | + | 0.423230i | ||||
\(731\) | 14663.4 | − | 32108.3i | 0.741920 | − | 1.62458i | ||||
\(732\) | −814.654 | + | 5666.04i | −0.0411345 | + | 0.286097i | ||||
\(733\) | 22548.6 | + | 14491.1i | 1.13622 | + | 0.730207i | 0.966850 | − | 0.255345i | \(-0.0821890\pi\) |
0.169374 | + | 0.985552i | \(0.445825\pi\) | |||||||
\(734\) | −1037.08 | − | 1196.85i | −0.0521516 | − | 0.0601862i | ||||
\(735\) | −1258.56 | −0.0631600 | ||||||||
\(736\) | 27881.1 | − | 2959.12i | 1.39635 | − | 0.148199i | ||||
\(737\) | 5110.24 | 0.255411 | ||||||||
\(738\) | 27307.0 | + | 31514.0i | 1.36204 | + | 1.57188i | ||||
\(739\) | 9857.72 | + | 6335.17i | 0.490693 | + | 0.315349i | 0.762484 | − | 0.647007i | \(-0.223980\pi\) |
−0.271791 | + | 0.962356i | \(0.587616\pi\) | |||||||
\(740\) | −959.425 | + | 6672.95i | −0.0476610 | + | 0.331490i | ||||
\(741\) | −2543.99 | + | 5570.57i | −0.126121 | + | 0.276167i | ||||
\(742\) | −205.542 | − | 1429.58i | −0.0101694 | − | 0.0707297i | ||||
\(743\) | −15166.3 | − | 4453.22i | −0.748852 | − | 0.219883i | −0.115030 | − | 0.993362i | \(-0.536697\pi\) |
−0.633822 | + | 0.773479i | \(0.718515\pi\) | |||||||
\(744\) | −1081.79 | + | 695.224i | −0.0533069 | + | 0.0342583i | ||||
\(745\) | −3021.72 | − | 6616.63i | −0.148600 | − | 0.325389i | ||||
\(746\) | −43255.8 | + | 12701.1i | −2.12293 | + | 0.623349i | ||||
\(747\) | 15117.9 | − | 17447.0i | 0.740476 | − | 0.854554i | ||||
\(748\) | 11765.7 | − | 13578.3i | 0.575128 | − | 0.663734i | ||||
\(749\) | 449.210 | − | 131.900i | 0.0219143 | − | 0.00643461i | ||||
\(750\) | 162.740 | + | 356.351i | 0.00792324 | + | 0.0173495i | ||||
\(751\) | −15381.1 | + | 9884.81i | −0.747355 | + | 0.480296i | −0.858055 | − | 0.513558i | \(-0.828327\pi\) |
0.110700 | + | 0.993854i | \(0.464691\pi\) | |||||||
\(752\) | −15751.4 | − | 4625.02i | −0.763822 | − | 0.224278i | ||||
\(753\) | 582.409 | + | 4050.75i | 0.0281862 | + | 0.196039i | ||||
\(754\) | −36389.3 | + | 79681.4i | −1.75759 | + | 3.84858i | ||||
\(755\) | −644.171 | + | 4480.31i | −0.0310514 | + | 0.215967i | ||||
\(756\) | −458.998 | − | 294.980i | −0.0220815 | − | 0.0141909i | ||||
\(757\) | 1439.20 | + | 1660.92i | 0.0690997 | + | 0.0797453i | 0.789247 | − | 0.614076i | \(-0.210471\pi\) |
−0.720147 | + | 0.693821i | \(0.755926\pi\) | |||||||
\(758\) | 41304.2 | 1.97920 | ||||||||
\(759\) | 68.5408 | − | 1848.52i | 0.00327783 | − | 0.0884017i | ||||
\(760\) | −4592.49 | −0.219194 | ||||||||
\(761\) | 106.841 | + | 123.301i | 0.00508931 | + | 0.00587338i | 0.758289 | − | 0.651919i | \(-0.226036\pi\) |
−0.753199 | + | 0.657792i | \(0.771490\pi\) | |||||||
\(762\) | 784.934 | + | 504.446i | 0.0373165 | + | 0.0239818i | ||||
\(763\) | −275.683 | + | 1917.42i | −0.0130805 | + | 0.0909768i | ||||
\(764\) | −10371.5 | + | 22710.4i | −0.491136 | + |