Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [76,4,Mod(75,76)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(76, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("76.75");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 76 = 2^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 76.d (of order \(2\), degree \(1\), 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: | \(4.48414516044\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 75.10 | ||
Character | \(\chi\) | \(=\) | 76.75 |
Dual form | 76.4.d.a.75.9 |
$q$-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 \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(39\) |
\(\chi(n)\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.60147 | + | 2.33137i | −0.566204 | + | 0.824265i | ||||
\(3\) | −3.54475 | −0.682187 | −0.341093 | − | 0.940029i | \(-0.610797\pi\) | ||||
−0.341093 | + | 0.940029i | \(0.610797\pi\) | |||||||
\(4\) | −2.87062 | − | 7.46723i | −0.358827 | − | 0.933404i | ||||
\(5\) | 18.5634 | 1.66036 | 0.830180 | − | 0.557495i | \(-0.188238\pi\) | ||||
0.830180 | + | 0.557495i | \(0.188238\pi\) | |||||||
\(6\) | 5.67679 | − | 8.26413i | 0.386257 | − | 0.562303i | ||||
\(7\) | 16.5701i | 0.894703i | 0.894358 | + | 0.447351i | \(0.147633\pi\) | ||||
−0.894358 | + | 0.447351i | \(0.852367\pi\) | |||||||
\(8\) | 22.0061 | + | 5.26604i | 0.972542 | + | 0.232728i | ||||
\(9\) | −14.4348 | −0.534621 | ||||||||
\(10\) | −29.7286 | + | 43.2782i | −0.940102 | + | 1.36858i | ||||
\(11\) | 9.00860i | 0.246927i | 0.992349 | + | 0.123463i | \(0.0394002\pi\) | ||||
−0.992349 | + | 0.123463i | \(0.960600\pi\) | |||||||
\(12\) | 10.1756 | + | 26.4694i | 0.244787 | + | 0.636756i | ||||
\(13\) | 60.5487i | 1.29178i | 0.763429 | + | 0.645891i | \(0.223514\pi\) | ||||
−0.763429 | + | 0.645891i | \(0.776486\pi\) | |||||||
\(14\) | −38.6312 | − | 26.5365i | −0.737473 | − | 0.506584i | ||||
\(15\) | −65.8025 | −1.13268 | ||||||||
\(16\) | −47.5191 | + | 42.8711i | −0.742486 | + | 0.669861i | ||||
\(17\) | 1.33140 | 0.0189948 | 0.00949741 | − | 0.999955i | \(-0.496977\pi\) | ||||
0.00949741 | + | 0.999955i | \(0.496977\pi\) | |||||||
\(18\) | 23.1168 | − | 33.6529i | 0.302704 | − | 0.440670i | ||||
\(19\) | 82.5710 | + | 6.40608i | 0.997004 | + | 0.0773503i | ||||
\(20\) | −53.2884 | − | 138.617i | −0.595782 | − | 1.54979i | ||||
\(21\) | − | 58.7369i | − | 0.610355i | ||||||
\(22\) | −21.0024 | − | 14.4270i | −0.203533 | − | 0.139811i | ||||
\(23\) | 182.865i | 1.65783i | 0.559376 | + | 0.828914i | \(0.311041\pi\) | ||||
−0.559376 | + | 0.828914i | \(0.688959\pi\) | |||||||
\(24\) | −78.0061 | − | 18.6668i | −0.663455 | − | 0.158764i | ||||
\(25\) | 219.600 | 1.75680 | ||||||||
\(26\) | −141.162 | − | 96.9666i | −1.06477 | − | 0.731412i | ||||
\(27\) | 146.876 | 1.04690 | ||||||||
\(28\) | 123.733 | − | 47.5665i | 0.835119 | − | 0.321044i | ||||
\(29\) | 61.1453i | 0.391531i | 0.980651 | + | 0.195766i | \(0.0627192\pi\) | ||||
−0.980651 | + | 0.195766i | \(0.937281\pi\) | |||||||
\(30\) | 105.380 | − | 153.410i | 0.641325 | − | 0.933626i | ||||
\(31\) | −111.127 | −0.643840 | −0.321920 | − | 0.946767i | \(-0.604328\pi\) | ||||
−0.321920 | + | 0.946767i | \(0.604328\pi\) | |||||||
\(32\) | −23.8483 | − | 179.442i | −0.131745 | − | 0.991284i | ||||
\(33\) | − | 31.9332i | − | 0.168450i | ||||||
\(34\) | −2.13219 | + | 3.10399i | −0.0107549 | + | 0.0156568i | ||||
\(35\) | 307.598i | 1.48553i | ||||||||
\(36\) | 41.4367 | + | 107.788i | 0.191836 | + | 0.499018i | ||||
\(37\) | − | 160.195i | − | 0.711783i | −0.934527 | − | 0.355891i | \(-0.884177\pi\) | ||
0.934527 | − | 0.355891i | \(-0.115823\pi\) | |||||||
\(38\) | −147.170 | + | 182.245i | −0.628264 | + | 0.778000i | ||||
\(39\) | − | 214.630i | − | 0.881237i | ||||||
\(40\) | 408.508 | + | 97.7555i | 1.61477 | + | 0.386413i | ||||
\(41\) | − | 386.315i | − | 1.47152i | −0.677242 | − | 0.735760i | \(-0.736825\pi\) | ||
0.677242 | − | 0.735760i | \(-0.263175\pi\) | |||||||
\(42\) | 136.938 | + | 94.0652i | 0.503094 | + | 0.345585i | ||||
\(43\) | − | 300.052i | − | 1.06413i | −0.846704 | − | 0.532065i | \(-0.821416\pi\) | ||
0.846704 | − | 0.532065i | \(-0.178584\pi\) | |||||||
\(44\) | 67.2693 | − | 25.8602i | 0.230482 | − | 0.0886040i | ||||
\(45\) | −267.958 | −0.887664 | ||||||||
\(46\) | −426.328 | − | 292.853i | −1.36649 | − | 0.938668i | ||||
\(47\) | − | 206.981i | − | 0.642367i | −0.947017 | − | 0.321184i | \(-0.895919\pi\) | ||
0.947017 | − | 0.321184i | \(-0.104081\pi\) | |||||||
\(48\) | 168.443 | − | 151.967i | 0.506514 | − | 0.456970i | ||||
\(49\) | 68.4308 | 0.199507 | ||||||||
\(50\) | −351.681 | + | 511.969i | −0.994704 | + | 1.44807i | ||||
\(51\) | −4.71947 | −0.0129580 | ||||||||
\(52\) | 452.131 | − | 173.812i | 1.20576 | − | 0.463526i | ||||
\(53\) | 544.763i | 1.41187i | 0.708278 | + | 0.705934i | \(0.249472\pi\) | ||||
−0.708278 | + | 0.705934i | \(0.750528\pi\) | |||||||
\(54\) | −235.216 | + | 342.422i | −0.592758 | + | 0.862922i | ||||
\(55\) | 167.230i | 0.409987i | ||||||||
\(56\) | −87.2589 | + | 364.644i | −0.208223 | + | 0.870136i | ||||
\(57\) | −292.693 | − | 22.7079i | −0.680143 | − | 0.0527674i | ||||
\(58\) | −142.553 | − | 97.9222i | −0.322726 | − | 0.221686i | ||||
\(59\) | −444.988 | −0.981907 | −0.490953 | − | 0.871186i | \(-0.663351\pi\) | ||||
−0.490953 | + | 0.871186i | \(0.663351\pi\) | |||||||
\(60\) | 188.894 | + | 491.363i | 0.406435 | + | 1.05724i | ||||
\(61\) | −252.260 | −0.529485 | −0.264743 | − | 0.964319i | \(-0.585287\pi\) | ||||
−0.264743 | + | 0.964319i | \(0.585287\pi\) | |||||||
\(62\) | 177.967 | − | 259.079i | 0.364545 | − | 0.530695i | ||||
\(63\) | − | 239.186i | − | 0.478327i | ||||||
\(64\) | 456.538 | + | 231.770i | 0.891675 | + | 0.452676i | ||||
\(65\) | 1123.99i | 2.14482i | ||||||||
\(66\) | 74.4482 | + | 51.1399i | 0.138848 | + | 0.0953771i | ||||
\(67\) | 530.479 | 0.967288 | 0.483644 | − | 0.875265i | \(-0.339313\pi\) | ||||
0.483644 | + | 0.875265i | \(0.339313\pi\) | |||||||
\(68\) | −3.82194 | − | 9.94187i | −0.00681585 | − | 0.0177298i | ||||
\(69\) | − | 648.211i | − | 1.13095i | ||||||
\(70\) | −717.126 | − | 492.607i | −1.22447 | − | 0.841112i | ||||
\(71\) | 354.491 | 0.592541 | 0.296270 | − | 0.955104i | \(-0.404257\pi\) | ||||
0.296270 | + | 0.955104i | \(0.404257\pi\) | |||||||
\(72\) | −317.653 | − | 76.0140i | −0.519941 | − | 0.124421i | ||||
\(73\) | 343.873 | 0.551332 | 0.275666 | − | 0.961253i | \(-0.411102\pi\) | ||||
0.275666 | + | 0.961253i | \(0.411102\pi\) | |||||||
\(74\) | 373.476 | + | 256.547i | 0.586698 | + | 0.403014i | ||||
\(75\) | −778.425 | −1.19846 | ||||||||
\(76\) | −189.194 | − | 634.966i | −0.285553 | − | 0.958363i | ||||
\(77\) | −149.274 | −0.220926 | ||||||||
\(78\) | 500.382 | + | 343.722i | 0.726373 | + | 0.498960i | ||||
\(79\) | 26.6175 | 0.0379077 | 0.0189538 | − | 0.999820i | \(-0.493966\pi\) | ||||
0.0189538 | + | 0.999820i | \(0.493966\pi\) | |||||||
\(80\) | −882.116 | + | 795.833i | −1.23280 | + | 1.11221i | ||||
\(81\) | −130.898 | −0.179559 | ||||||||
\(82\) | 900.646 | + | 618.671i | 1.21292 | + | 0.833180i | ||||
\(83\) | − | 1384.46i | − | 1.83089i | −0.402438 | − | 0.915447i | \(-0.631837\pi\) | ||
0.402438 | − | 0.915447i | \(-0.368163\pi\) | |||||||
\(84\) | −438.602 | + | 168.611i | −0.569707 | + | 0.219012i | ||||
\(85\) | 24.7153 | 0.0315382 | ||||||||
\(86\) | 699.535 | + | 480.524i | 0.877125 | + | 0.602514i | ||||
\(87\) | − | 216.745i | − | 0.267097i | ||||||
\(88\) | −47.4396 | + | 198.244i | −0.0574668 | + | 0.240147i | ||||
\(89\) | 977.352i | 1.16403i | 0.813177 | + | 0.582017i | \(0.197736\pi\) | ||||
−0.813177 | + | 0.582017i | \(0.802264\pi\) | |||||||
\(90\) | 429.126 | − | 624.711i | 0.502598 | − | 0.731671i | ||||
\(91\) | −1003.30 | −1.15576 | ||||||||
\(92\) | 1365.50 | − | 524.936i | 1.54742 | − | 0.594873i | ||||
\(93\) | 393.918 | 0.439219 | ||||||||
\(94\) | 482.550 | + | 331.473i | 0.529481 | + | 0.363711i | ||||
\(95\) | 1532.80 | + | 118.919i | 1.65539 | + | 0.128429i | ||||
\(96\) | 84.5364 | + | 636.075i | 0.0898745 | + | 0.676241i | ||||
\(97\) | − | 1185.68i | − | 1.24111i | −0.784162 | − | 0.620556i | \(-0.786907\pi\) | ||
0.784162 | − | 0.620556i | \(-0.213093\pi\) | |||||||
\(98\) | −109.590 | + | 159.538i | −0.112961 | + | 0.164446i | ||||
\(99\) | − | 130.037i | − | 0.132012i | ||||||
\(100\) | −630.386 | − | 1639.80i | −0.630386 | − | 1.63980i | ||||
\(101\) | −1369.61 | −1.34932 | −0.674662 | − | 0.738127i | \(-0.735711\pi\) | ||||
−0.674662 | + | 0.738127i | \(0.735711\pi\) | |||||||
\(102\) | 7.55808 | − | 11.0029i | 0.00733687 | − | 0.0106808i | ||||
\(103\) | 1571.46 | 1.50331 | 0.751654 | − | 0.659558i | \(-0.229256\pi\) | ||||
0.751654 | + | 0.659558i | \(0.229256\pi\) | |||||||
\(104\) | −318.851 | + | 1332.44i | −0.300634 | + | 1.25631i | ||||
\(105\) | − | 1090.36i | − | 1.01341i | ||||||
\(106\) | −1270.05 | − | 872.420i | −1.16375 | − | 0.799405i | ||||
\(107\) | −2132.68 | −1.92686 | −0.963430 | − | 0.267959i | \(-0.913651\pi\) | ||||
−0.963430 | + | 0.267959i | \(0.913651\pi\) | |||||||
\(108\) | −421.624 | − | 1096.76i | −0.375655 | − | 0.977179i | ||||
\(109\) | − | 326.844i | − | 0.287211i | −0.989635 | − | 0.143605i | \(-0.954130\pi\) | ||
0.989635 | − | 0.143605i | \(-0.0458696\pi\) | |||||||
\(110\) | −389.876 | − | 267.813i | −0.337938 | − | 0.232136i | ||||
\(111\) | 567.852i | 0.485569i | ||||||||
\(112\) | −710.380 | − | 787.398i | −0.599327 | − | 0.664305i | ||||
\(113\) | − | 902.048i | − | 0.750951i | −0.926832 | − | 0.375476i | \(-0.877479\pi\) | ||
0.926832 | − | 0.375476i | \(-0.122521\pi\) | |||||||
\(114\) | 521.679 | − | 646.011i | 0.428594 | − | 0.530741i | ||||
\(115\) | 3394.60i | 2.75259i | ||||||||
\(116\) | 456.586 | − | 175.525i | 0.365457 | − | 0.140492i | ||||
\(117\) | − | 874.006i | − | 0.690614i | ||||||
\(118\) | 712.633 | − | 1037.43i | 0.555959 | − | 0.809352i | ||||
\(119\) | 22.0615i | 0.0169947i | ||||||||
\(120\) | −1448.06 | − | 346.519i | −1.10157 | − | 0.263606i | ||||
\(121\) | 1249.85 | 0.939027 | ||||||||
\(122\) | 403.986 | − | 588.113i | 0.299796 | − | 0.436436i | ||||
\(123\) | 1369.39i | 1.00385i | ||||||||
\(124\) | 319.004 | + | 829.813i | 0.231027 | + | 0.600963i | ||||
\(125\) | 1756.09 | 1.25655 | ||||||||
\(126\) | 557.632 | + | 383.048i | 0.394269 | + | 0.270831i | ||||
\(127\) | −314.379 | −0.219658 | −0.109829 | − | 0.993950i | \(-0.535030\pi\) | ||||
−0.109829 | + | 0.993950i | \(0.535030\pi\) | |||||||
\(128\) | −1271.47 | + | 693.189i | −0.877995 | + | 0.478670i | ||||
\(129\) | 1063.61i | 0.725935i | ||||||||
\(130\) | −2620.44 | − | 1800.03i | −1.76790 | − | 1.21441i | ||||
\(131\) | − | 2009.44i | − | 1.34020i | −0.742272 | − | 0.670099i | \(-0.766252\pi\) | ||
0.742272 | − | 0.670099i | \(-0.233748\pi\) | |||||||
\(132\) | −238.453 | + | 91.6679i | −0.157232 | + | 0.0604445i | ||||
\(133\) | −106.150 | + | 1368.21i | −0.0692056 | + | 0.892022i | ||||
\(134\) | −849.544 | + | 1236.75i | −0.547682 | + | 0.797302i | ||||
\(135\) | 2726.51 | 1.73823 | ||||||||
\(136\) | 29.2989 | + | 7.01120i | 0.0184733 | + | 0.00442063i | ||||
\(137\) | 333.563 | 0.208016 | 0.104008 | − | 0.994576i | \(-0.466833\pi\) | ||||
0.104008 | + | 0.994576i | \(0.466833\pi\) | |||||||
\(138\) | 1511.22 | + | 1038.09i | 0.932202 | + | 0.640347i | ||||
\(139\) | 587.202i | 0.358315i | 0.983820 | + | 0.179158i | \(0.0573372\pi\) | ||||
−0.983820 | + | 0.179158i | \(0.942663\pi\) | |||||||
\(140\) | 2296.90 | − | 882.995i | 1.38660 | − | 0.533048i | ||||
\(141\) | 733.694i | 0.438214i | ||||||||
\(142\) | −567.706 | + | 826.452i | −0.335499 | + | 0.488411i | ||||
\(143\) | −545.459 | −0.318976 | ||||||||
\(144\) | 685.928 | − | 618.835i | 0.396949 | − | 0.358122i | ||||
\(145\) | 1135.06i | 0.650083i | ||||||||
\(146\) | −550.701 | + | 801.696i | −0.312166 | + | 0.454444i | ||||
\(147\) | −242.570 | −0.136101 | ||||||||
\(148\) | −1196.22 | + | 459.859i | −0.664381 | + | 0.255407i | ||||
\(149\) | 666.945 | 0.366700 | 0.183350 | − | 0.983048i | \(-0.441306\pi\) | ||||
0.183350 | + | 0.983048i | \(0.441306\pi\) | |||||||
\(150\) | 1246.62 | − | 1814.80i | 0.678574 | − | 0.987852i | ||||
\(151\) | −320.251 | −0.172594 | −0.0862969 | − | 0.996269i | \(-0.527503\pi\) | ||||
−0.0862969 | + | 0.996269i | \(0.527503\pi\) | |||||||
\(152\) | 1783.33 | + | 575.795i | 0.951626 | + | 0.307257i | ||||
\(153\) | −19.2185 | −0.0101550 | ||||||||
\(154\) | 239.057 | − | 348.013i | 0.125089 | − | 0.182102i | ||||
\(155\) | −2062.90 | −1.06901 | ||||||||
\(156\) | −1602.69 | + | 616.119i | −0.822550 | + | 0.316212i | ||||
\(157\) | 2625.22 | 1.33449 | 0.667247 | − | 0.744837i | \(-0.267473\pi\) | ||||
0.667247 | + | 0.744837i | \(0.267473\pi\) | |||||||
\(158\) | −42.6271 | + | 62.0555i | −0.0214635 | + | 0.0312460i | ||||
\(159\) | − | 1931.05i | − | 0.963157i | ||||||
\(160\) | −442.706 | − | 3331.04i | −0.218744 | − | 1.64589i | ||||
\(161\) | −3030.10 | −1.48326 | ||||||||
\(162\) | 209.629 | − | 305.173i | 0.101667 | − | 0.148004i | ||||
\(163\) | 536.530i | 0.257818i | 0.991656 | + | 0.128909i | \(0.0411475\pi\) | ||||
−0.991656 | + | 0.128909i | \(0.958853\pi\) | |||||||
\(164\) | −2884.71 | + | 1108.96i | −1.37352 | + | 0.528021i | ||||
\(165\) | − | 592.788i | − | 0.279688i | ||||||
\(166\) | 3227.69 | + | 2217.16i | 1.50914 | + | 1.03666i | ||||
\(167\) | 1961.24 | 0.908774 | 0.454387 | − | 0.890805i | \(-0.349858\pi\) | ||||
0.454387 | + | 0.890805i | \(0.349858\pi\) | |||||||
\(168\) | 309.311 | − | 1292.57i | 0.142047 | − | 0.593595i | ||||
\(169\) | −1469.14 | −0.668703 | ||||||||
\(170\) | −39.5807 | + | 57.6206i | −0.0178571 | + | 0.0259959i | ||||
\(171\) | −1191.89 | − | 92.4704i | −0.533019 | − | 0.0413531i | ||||
\(172\) | −2240.56 | + | 861.335i | −0.993263 | + | 0.381838i | ||||
\(173\) | 3371.40i | 1.48163i | 0.671708 | + | 0.740816i | \(0.265561\pi\) | ||||
−0.671708 | + | 0.740816i | \(0.734439\pi\) | |||||||
\(174\) | 505.313 | + | 347.109i | 0.220159 | + | 0.151232i | ||||
\(175\) | 3638.79i | 1.57181i | ||||||||
\(176\) | −386.209 | − | 428.081i | −0.165407 | − | 0.183340i | ||||
\(177\) | 1577.37 | 0.669844 | ||||||||
\(178\) | −2278.57 | − | 1565.19i | −0.959473 | − | 0.659080i | ||||
\(179\) | −1181.34 | −0.493280 | −0.246640 | − | 0.969107i | \(-0.579327\pi\) | ||||
−0.246640 | + | 0.969107i | \(0.579327\pi\) | |||||||
\(180\) | 769.205 | + | 2000.91i | 0.318518 | + | 0.828549i | ||||
\(181\) | − | 1155.85i | − | 0.474661i | −0.971429 | − | 0.237331i | \(-0.923728\pi\) | ||
0.971429 | − | 0.237331i | \(-0.0762725\pi\) | |||||||
\(182\) | 1606.75 | − | 2339.07i | 0.654397 | − | 0.952655i | ||||
\(183\) | 894.198 | 0.361208 | ||||||||
\(184\) | −962.975 | + | 4024.15i | −0.385823 | + | 1.61231i | ||||
\(185\) | − | 2973.77i | − | 1.18182i | ||||||
\(186\) | −630.846 | + | 918.370i | −0.248688 | + | 0.362033i | ||||
\(187\) | 11.9940i | 0.00469033i | ||||||||
\(188\) | −1545.57 | + | 594.162i | −0.599588 | + | 0.230499i | ||||
\(189\) | 2433.75i | 0.936663i | ||||||||
\(190\) | −2731.97 | + | 3383.08i | −1.04315 | + | 1.29176i | ||||
\(191\) | 3069.11i | 1.16269i | 0.813659 | + | 0.581343i | \(0.197472\pi\) | ||||
−0.813659 | + | 0.581343i | \(0.802528\pi\) | |||||||
\(192\) | −1618.31 | − | 821.566i | −0.608289 | − | 0.308809i | ||||
\(193\) | 986.320i | 0.367860i | 0.982939 | + | 0.183930i | \(0.0588819\pi\) | ||||
−0.982939 | + | 0.183930i | \(0.941118\pi\) | |||||||
\(194\) | 2764.27 | + | 1898.83i | 1.02301 | + | 0.702722i | ||||
\(195\) | − | 3984.25i | − | 1.46317i | ||||||
\(196\) | −196.438 | − | 510.988i | −0.0715883 | − | 0.186220i | ||||
\(197\) | −2398.07 | −0.867285 | −0.433642 | − | 0.901085i | \(-0.642772\pi\) | ||||
−0.433642 | + | 0.901085i | \(0.642772\pi\) | |||||||
\(198\) | 303.165 | + | 208.250i | 0.108813 | + | 0.0747458i | ||||
\(199\) | − | 1680.59i | − | 0.598661i | −0.954149 | − | 0.299331i | \(-0.903237\pi\) | ||
0.954149 | − | 0.299331i | \(-0.0967633\pi\) | |||||||
\(200\) | 4832.53 | + | 1156.42i | 1.70856 | + | 0.408856i | ||||
\(201\) | −1880.41 | −0.659871 | ||||||||
\(202\) | 2193.39 | − | 3193.08i | 0.763992 | − | 1.11220i | ||||
\(203\) | −1013.19 | −0.350304 | ||||||||
\(204\) | 13.5478 | + | 35.2414i | 0.00464968 | + | 0.0120951i | ||||
\(205\) | − | 7171.33i | − | 2.44325i | ||||||
\(206\) | −2516.64 | + | 3663.67i | −0.851178 | + | 1.23912i | ||||
\(207\) | − | 2639.62i | − | 0.886310i | ||||||
\(208\) | −2595.79 | − | 2877.22i | −0.865315 | − | 0.959131i | ||||
\(209\) | −57.7098 | + | 743.849i | −0.0190999 | + | 0.246187i | ||||
\(210\) | 2542.03 | + | 1746.17i | 0.835318 | + | 0.573796i | ||||
\(211\) | 1142.02 | 0.372605 | 0.186302 | − | 0.982492i | \(-0.440350\pi\) | ||||
0.186302 | + | 0.982492i | \(0.440350\pi\) | |||||||
\(212\) | 4067.87 | − | 1563.81i | 1.31784 | − | 0.506616i | ||||
\(213\) | −1256.58 | −0.404223 | ||||||||
\(214\) | 3415.42 | − | 4972.08i | 1.09100 | − | 1.58824i | ||||
\(215\) | − | 5569.99i | − | 1.76684i | ||||||
\(216\) | 3232.16 | + | 773.453i | 1.01815 | + | 0.243643i | ||||
\(217\) | − | 1841.39i | − | 0.576046i | ||||||
\(218\) | 761.996 | + | 523.429i | 0.236738 | + | 0.162620i | ||||
\(219\) | −1218.94 | −0.376112 | ||||||||
\(220\) | 1248.75 | − | 480.053i | 0.382684 | − | 0.147115i | ||||
\(221\) | 80.6145i | 0.0245372i | ||||||||
\(222\) | −1323.88 | − | 909.396i | −0.400238 | − | 0.274931i | ||||
\(223\) | −846.144 | −0.254090 | −0.127045 | − | 0.991897i | \(-0.540549\pi\) | ||||
−0.127045 | + | 0.991897i | \(0.540549\pi\) | |||||||
\(224\) | 2973.37 | − | 395.170i | 0.886904 | − | 0.117872i | ||||
\(225\) | −3169.87 | −0.939221 | ||||||||
\(226\) | 2103.01 | + | 1444.60i | 0.618983 | + | 0.425191i | ||||
\(227\) | 4967.77 | 1.45252 | 0.726262 | − | 0.687418i | \(-0.241256\pi\) | ||||
0.726262 | + | 0.687418i | \(0.241256\pi\) | |||||||
\(228\) | 670.644 | + | 2250.79i | 0.194800 | + | 0.653783i | ||||
\(229\) | 254.337 | 0.0733933 | 0.0366966 | − | 0.999326i | \(-0.488316\pi\) | ||||
0.0366966 | + | 0.999326i | \(0.488316\pi\) | |||||||
\(230\) | −7914.09 | − | 5436.34i | −2.26887 | − | 1.55853i | ||||
\(231\) | 529.137 | 0.150713 | ||||||||
\(232\) | −321.994 | + | 1345.57i | −0.0911203 | + | 0.380780i | ||||
\(233\) | 2411.68 | 0.678087 | 0.339044 | − | 0.940771i | \(-0.389897\pi\) | ||||
0.339044 | + | 0.940771i | \(0.389897\pi\) | |||||||
\(234\) | 2037.64 | + | 1399.69i | 0.569250 | + | 0.391028i | ||||
\(235\) | − | 3842.27i | − | 1.06656i | ||||||
\(236\) | 1277.39 | + | 3322.83i | 0.352335 | + | 0.916516i | ||||
\(237\) | −94.3524 | −0.0258601 | ||||||||
\(238\) | −51.4336 | − | 35.3307i | −0.0140082 | − | 0.00962247i | ||||
\(239\) | − | 3962.47i | − | 1.07243i | −0.844081 | − | 0.536215i | \(-0.819854\pi\) | ||
0.844081 | − | 0.536215i | \(-0.180146\pi\) | |||||||
\(240\) | 3126.88 | − | 2821.03i | 0.840996 | − | 0.758735i | ||||
\(241\) | 1551.15i | 0.414600i | 0.978277 | + | 0.207300i | \(0.0664676\pi\) | ||||
−0.978277 | + | 0.207300i | \(0.933532\pi\) | |||||||
\(242\) | −2001.58 | + | 2913.86i | −0.531681 | + | 0.774008i | ||||
\(243\) | −3501.64 | −0.924406 | ||||||||
\(244\) | 724.142 | + | 1883.69i | 0.189994 | + | 0.494224i | ||||
\(245\) | 1270.31 | 0.331253 | ||||||||
\(246\) | −3192.56 | − | 2193.03i | −0.827440 | − | 0.568385i | ||||
\(247\) | −387.880 | + | 4999.56i | −0.0999198 | + | 1.28791i | ||||
\(248\) | −2445.48 | − | 585.200i | −0.626162 | − | 0.149840i | ||||
\(249\) | 4907.56i | 1.24901i | ||||||||
\(250\) | −2812.32 | + | 4094.10i | −0.711466 | + | 1.03573i | ||||
\(251\) | 3214.14i | 0.808267i | 0.914700 | + | 0.404133i | \(0.132427\pi\) | ||||
−0.914700 | + | 0.404133i | \(0.867573\pi\) | |||||||
\(252\) | −1786.06 | + | 686.611i | −0.446473 | + | 0.171637i | ||||
\(253\) | −1647.36 | −0.409362 | ||||||||
\(254\) | 503.467 | − | 732.935i | 0.124371 | − | 0.181057i | ||||
\(255\) | −87.6095 | −0.0215150 | ||||||||
\(256\) | 420.136 | − | 4074.40i | 0.102572 | − | 0.994726i | ||||
\(257\) | − | 7181.74i | − | 1.74313i | −0.490279 | − | 0.871565i | \(-0.663105\pi\) | ||
0.490279 | − | 0.871565i | \(-0.336895\pi\) | |||||||
\(258\) | −2479.67 | − | 1703.33i | −0.598363 | − | 0.411027i | ||||
\(259\) | 2654.46 | 0.636834 | ||||||||
\(260\) | 8393.08 | − | 3226.54i | 2.00199 | − | 0.769621i | ||||
\(261\) | − | 882.619i | − | 0.209321i | ||||||
\(262\) | 4684.77 | + | 3218.06i | 1.10468 | + | 0.758825i | ||||
\(263\) | 5311.58i | 1.24535i | 0.782482 | + | 0.622673i | \(0.213953\pi\) | ||||
−0.782482 | + | 0.622673i | \(0.786047\pi\) | |||||||
\(264\) | 168.161 | − | 702.725i | 0.0392031 | − | 0.163825i | ||||
\(265\) | 10112.7i | 2.34421i | ||||||||
\(266\) | −3019.82 | − | 2438.62i | −0.696079 | − | 0.562110i | ||||
\(267\) | − | 3464.46i | − | 0.794089i | ||||||
\(268\) | −1522.80 | − | 3961.21i | −0.347089 | − | 0.902871i | ||||
\(269\) | 316.111i | 0.0716492i | 0.999358 | + | 0.0358246i | \(0.0114058\pi\) | ||||
−0.999358 | + | 0.0358246i | \(0.988594\pi\) | |||||||
\(270\) | −4366.42 | + | 6356.52i | −0.984191 | + | 1.43276i | ||||
\(271\) | − | 3102.02i | − | 0.695330i | −0.937619 | − | 0.347665i | \(-0.886975\pi\) | ||
0.937619 | − | 0.347665i | \(-0.113025\pi\) | |||||||
\(272\) | −63.2670 | + | 57.0786i | −0.0141034 | + | 0.0127239i | ||||
\(273\) | 3556.44 | 0.788446 | ||||||||
\(274\) | −534.190 | + | 777.660i | −0.117779 | + | 0.171461i | ||||
\(275\) | 1978.28i | 0.433800i | ||||||||
\(276\) | −4840.34 | + | 1860.76i | −1.05563 | + | 0.405815i | ||||
\(277\) | 5920.52 | 1.28422 | 0.642111 | − | 0.766611i | \(-0.278059\pi\) | ||||
0.642111 | + | 0.766611i | \(0.278059\pi\) | |||||||
\(278\) | −1368.99 | − | 940.384i | −0.295347 | − | 0.202880i | ||||
\(279\) | 1604.10 | 0.344211 | ||||||||
\(280\) | −1619.82 | + | 6769.03i | −0.345725 | + | 1.44474i | ||||
\(281\) | − | 2141.11i | − | 0.454548i | −0.973831 | − | 0.227274i | \(-0.927019\pi\) | ||
0.973831 | − | 0.227274i | \(-0.0729813\pi\) | |||||||
\(282\) | −1710.52 | − | 1174.99i | −0.361205 | − | 0.248119i | ||||
\(283\) | 7766.87i | 1.63142i | 0.578460 | + | 0.815711i | \(0.303654\pi\) | ||||
−0.578460 | + | 0.815711i | \(0.696346\pi\) | |||||||
\(284\) | −1017.61 | − | 2647.07i | −0.212619 | − | 0.553080i | ||||
\(285\) | −5433.38 | − | 421.536i | −1.12928 | − | 0.0876129i | ||||
\(286\) | 873.533 | − | 1271.67i | 0.180605 | − | 0.262921i | ||||
\(287\) | 6401.30 | 1.31657 | ||||||||
\(288\) | 344.246 | + | 2590.20i | 0.0704335 | + | 0.529961i | ||||
\(289\) | −4911.23 | −0.999639 | ||||||||
\(290\) | −2646.26 | − | 1817.77i | −0.535841 | − | 0.368079i | ||||
\(291\) | 4202.94i | 0.846670i | ||||||||
\(292\) | −987.127 | − | 2567.78i | −0.197833 | − | 0.514616i | ||||
\(293\) | 1969.51i | 0.392697i | 0.980534 | + | 0.196348i | \(0.0629083\pi\) | ||||
−0.980534 | + | 0.196348i | \(0.937092\pi\) | |||||||
\(294\) | 388.467 | − | 565.521i | 0.0770607 | − | 0.112183i | ||||
\(295\) | −8260.49 | −1.63032 | ||||||||
\(296\) | 843.595 | − | 3525.28i | 0.165652 | − | 0.692239i | ||||
\(297\) | 1323.14i | 0.258507i | ||||||||
\(298\) | −1068.09 | + | 1554.90i | −0.207627 | + | 0.302258i | ||||
\(299\) | −11072.2 | −2.14155 | ||||||||
\(300\) | 2234.56 | + | 5812.68i | 0.430041 | + | 1.11865i | ||||
\(301\) | 4971.91 | 0.952080 | ||||||||
\(302\) | 512.871 | − | 746.625i | 0.0977232 | − | 0.142263i | ||||
\(303\) | 4854.93 | 0.920491 | ||||||||
\(304\) | −4198.34 | + | 3235.50i | −0.792076 | + | 0.610423i | ||||
\(305\) | −4682.80 | −0.879136 | ||||||||
\(306\) | 30.7777 | − | 44.8054i | 0.00574982 | − | 0.00837044i | ||||
\(307\) | −5534.00 | −1.02880 | −0.514401 | − | 0.857550i | \(-0.671986\pi\) | ||||
−0.514401 | + | 0.857550i | \(0.671986\pi\) | |||||||
\(308\) | 428.507 | + | 1114.66i | 0.0792742 | + | 0.206213i | ||||
\(309\) | −5570.43 | −1.02554 | ||||||||
\(310\) | 3303.66 | − | 4809.39i | 0.605275 | − | 0.881145i | ||||
\(311\) | − | 2383.59i | − | 0.434602i | −0.976105 | − | 0.217301i | \(-0.930275\pi\) | ||
0.976105 | − | 0.217301i | \(-0.0697252\pi\) | |||||||
\(312\) | 1130.25 | − | 4723.16i | 0.205089 | − | 0.857040i | ||||
\(313\) | 9219.27 | 1.66487 | 0.832434 | − | 0.554124i | \(-0.186947\pi\) | ||||
0.832434 | + | 0.554124i | \(0.186947\pi\) | |||||||
\(314\) | −4204.20 | + | 6120.38i | −0.755595 | + | 1.09998i | ||||
\(315\) | − | 4440.10i | − | 0.794195i | ||||||
\(316\) | −76.4087 | − | 198.759i | −0.0136023 | − | 0.0353832i | ||||
\(317\) | − | 7022.50i | − | 1.24424i | −0.782923 | − | 0.622118i | \(-0.786272\pi\) | ||
0.782923 | − | 0.622118i | \(-0.213728\pi\) | |||||||
\(318\) | 4502.00 | + | 3092.51i | 0.793897 | + | 0.545343i | ||||
\(319\) | −550.834 | −0.0966795 | ||||||||
\(320\) | 8474.89 | + | 4302.44i | 1.48050 | + | 0.751605i | ||||
\(321\) | 7559.81 | 1.31448 | ||||||||
\(322\) | 4852.60 | − | 7064.30i | 0.839829 | − | 1.22260i | ||||
\(323\) | 109.935 | + | 8.52906i | 0.0189379 | + | 0.00146926i | ||||
\(324\) | 375.759 | + | 977.449i | 0.0644306 | + | 0.167601i | ||||
\(325\) | 13296.5i | 2.26940i | ||||||||
\(326\) | −1250.85 | − | 859.235i | −0.212510 | − | 0.145977i | ||||
\(327\) | 1158.58i | 0.195931i | ||||||||
\(328\) | 2034.35 | − | 8501.30i | 0.342464 | − | 1.43112i | ||||
\(329\) | 3429.70 | 0.574728 | ||||||||
\(330\) | 1382.01 | + | 949.330i | 0.230537 | + | 0.158360i | ||||
\(331\) | 4723.08 | 0.784302 | 0.392151 | − | 0.919901i | \(-0.371731\pi\) | ||||
0.392151 | + | 0.919901i | \(0.371731\pi\) | |||||||
\(332\) | −10338.1 | + | 3974.25i | −1.70896 | + | 0.656974i | ||||
\(333\) | 2312.38i | 0.380534i | ||||||||
\(334\) | −3140.86 | + | 4572.38i | −0.514551 | + | 0.749071i | ||||
\(335\) | 9847.49 | 1.60605 | ||||||||
\(336\) | 2518.12 | + | 2791.13i | 0.408853 | + | 0.453180i | ||||
\(337\) | − | 8175.98i | − | 1.32158i | −0.750569 | − | 0.660792i | \(-0.770220\pi\) | ||
0.750569 | − | 0.660792i | \(-0.229780\pi\) | |||||||
\(338\) | 2352.78 | − | 3425.12i | 0.378622 | − | 0.551189i | ||||
\(339\) | 3197.53i | 0.512289i | ||||||||
\(340\) | −70.9481 | − | 184.555i | −0.0113168 | − | 0.0294379i | ||||
\(341\) | − | 1001.10i | − | 0.158981i | ||||||
\(342\) | 2124.36 | − | 2630.66i | 0.335884 | − | 0.415935i | ||||
\(343\) | 6817.46i | 1.07320i | ||||||||
\(344\) | 1580.09 | − | 6602.99i | 0.247653 | − | 1.03491i | ||||
\(345\) | − | 12033.0i | − | 1.87778i | ||||||
\(346\) | −7859.99 | − | 5399.17i | −1.22126 | − | 0.838906i | ||||
\(347\) | − | 2376.28i | − | 0.367624i | −0.982961 | − | 0.183812i | \(-0.941156\pi\) | ||
0.982961 | − | 0.183812i | \(-0.0588437\pi\) | |||||||
\(348\) | −1618.48 | + | 622.191i | −0.249310 | + | 0.0958417i | ||||
\(349\) | 3240.61 | 0.497037 | 0.248518 | − | 0.968627i | \(-0.420056\pi\) | ||||
0.248518 | + | 0.968627i | \(0.420056\pi\) | |||||||
\(350\) | −8483.39 | − | 5827.40i | −1.29559 | − | 0.889965i | ||||
\(351\) | 8893.13i | 1.35237i | ||||||||
\(352\) | 1616.52 | − | 214.840i | 0.244774 | − | 0.0325313i | ||||
\(353\) | −4885.62 | −0.736645 | −0.368322 | − | 0.929698i | \(-0.620068\pi\) | ||||
−0.368322 | + | 0.929698i | \(0.620068\pi\) | |||||||
\(354\) | −2526.10 | + | 3677.44i | −0.379268 | + | 0.552129i | ||||
\(355\) | 6580.56 | 0.983831 | ||||||||
\(356\) | 7298.11 | − | 2805.60i | 1.08651 | − | 0.417687i | ||||
\(357\) | − | 78.2023i | − | 0.0115936i | ||||||
\(358\) | 1891.87 | − | 2754.14i | 0.279297 | − | 0.406594i | ||||
\(359\) | − | 7375.74i | − | 1.08434i | −0.840270 | − | 0.542168i | \(-0.817604\pi\) | ||
0.840270 | − | 0.542168i | \(-0.182396\pi\) | |||||||
\(360\) | −5896.72 | − | 1411.08i | −0.863290 | − | 0.206584i | ||||
\(361\) | 6776.92 | + | 1057.91i | 0.988034 | + | 0.154237i | ||||
\(362\) | 2694.72 | + | 1851.05i | 0.391247 | + | 0.268755i | ||||
\(363\) | −4430.38 | −0.640592 | ||||||||
\(364\) | 2880.09 | + | 7491.87i | 0.414719 | + | 1.07879i | ||||
\(365\) | 6383.45 | 0.915411 | ||||||||
\(366\) | −1432.03 | + | 2084.71i | −0.204517 | + | 0.297731i | ||||
\(367\) | 8077.71i | 1.14892i | 0.818533 | + | 0.574459i | \(0.194788\pi\) | ||||
−0.818533 | + | 0.574459i | \(0.805212\pi\) | |||||||
\(368\) | −7839.64 | − | 8689.60i | −1.11051 | − | 1.23092i | ||||
\(369\) | 5576.38i | 0.786706i | ||||||||
\(370\) | 6932.97 | + | 4762.39i | 0.974130 | + | 0.669149i | ||||
\(371\) | −9026.80 | −1.26320 | ||||||||
\(372\) | −1130.79 | − | 2941.48i | −0.157604 | − | 0.409969i | ||||
\(373\) | − | 4658.00i | − | 0.646601i | −0.946296 | − | 0.323301i | \(-0.895208\pi\) | ||
0.946296 | − | 0.323301i | \(-0.104792\pi\) | |||||||
\(374\) | −27.9626 | − | 19.2081i | −0.00386608 | − | 0.00265568i | ||||
\(375\) | −6224.89 | −0.857205 | ||||||||
\(376\) | 1089.97 | − | 4554.84i | 0.149497 | − | 0.624729i | ||||
\(377\) | −3702.27 | −0.505773 | ||||||||
\(378\) | −5673.98 | − | 3897.57i | −0.772059 | − | 0.530342i | ||||
\(379\) | 7899.98 | 1.07070 | 0.535349 | − | 0.844631i | \(-0.320180\pi\) | ||||
0.535349 | + | 0.844631i | \(0.320180\pi\) | |||||||
\(380\) | −3512.08 | − | 11787.1i | −0.474120 | − | 1.59123i | ||||
\(381\) | 1114.39 | 0.149848 | ||||||||
\(382\) | −7155.24 | − | 4915.07i | −0.958361 | − | 0.658317i | ||||
\(383\) | 7209.44 | 0.961841 | 0.480920 | − | 0.876764i | \(-0.340303\pi\) | ||||
0.480920 | + | 0.876764i | \(0.340303\pi\) | |||||||
\(384\) | 4507.05 | − | 2457.18i | 0.598956 | − | 0.326543i | ||||
\(385\) | −2771.03 | −0.366817 | ||||||||
\(386\) | −2299.48 | − | 1579.56i | −0.303214 | − | 0.208283i | ||||
\(387\) | 4331.19i | 0.568906i | ||||||||
\(388\) | −8853.77 | + | 3403.64i | −1.15846 | + | 0.445344i | ||||
\(389\) | −12501.1 | −1.62939 | −0.814694 | − | 0.579891i | \(-0.803095\pi\) | ||||
−0.814694 | + | 0.579891i | \(0.803095\pi\) | |||||||
\(390\) | 9288.79 | + | 6380.65i | 1.20604 | + | 0.828453i | ||||
\(391\) | 243.467i | 0.0314901i | ||||||||
\(392\) | 1505.89 | + | 360.359i | 0.194028 | + | 0.0464308i | ||||
\(393\) | 7122.97i | 0.914266i | ||||||||
\(394\) | 3840.42 | − | 5590.79i | 0.491060 | − | 0.714873i | ||||
\(395\) | 494.112 | 0.0629404 | ||||||||
\(396\) | −971.017 | + | 373.286i | −0.123221 | + | 0.0473696i | ||||
\(397\) | −11540.2 | −1.45891 | −0.729456 | − | 0.684028i | \(-0.760227\pi\) | ||||
−0.729456 | + | 0.684028i | \(0.760227\pi\) | |||||||
\(398\) | 3918.07 | + | 2691.40i | 0.493456 | + | 0.338964i | ||||
\(399\) | 376.274 | − | 4849.96i | 0.0472111 | − | 0.608526i | ||||
\(400\) | −10435.2 | + | 9414.48i | −1.30440 | + | 1.17681i | ||||
\(401\) | 5404.80i | 0.673074i | 0.941670 | + | 0.336537i | \(0.109256\pi\) | ||||
−0.941670 | + | 0.336537i | \(0.890744\pi\) | |||||||
\(402\) | 3011.42 | − | 4383.95i | 0.373621 | − | 0.543909i | ||||
\(403\) | − | 6728.61i | − | 0.831702i | ||||||
\(404\) | 3931.63 | + | 10227.2i | 0.484174 | + | 1.25946i | ||||
\(405\) | −2429.92 | −0.298133 | ||||||||
\(406\) | 1622.58 | − | 2362.12i | 0.198343 | − | 0.288744i | ||||
\(407\) | 1443.14 | 0.175758 | ||||||||
\(408\) | −103.857 | − | 24.8529i | −0.0126022 | − | 0.00301569i | ||||
\(409\) | − | 7827.99i | − | 0.946380i | −0.880960 | − | 0.473190i | \(-0.843102\pi\) | ||
0.880960 | − | 0.473190i | \(-0.156898\pi\) | |||||||
\(410\) | 16719.0 | + | 11484.6i | 2.01389 | + | 1.38338i | ||||
\(411\) | −1182.40 | −0.141906 | ||||||||
\(412\) | −4511.06 | − | 11734.5i | −0.539427 | − | 1.40319i | ||||
\(413\) | − | 7373.51i | − | 0.878515i | ||||||
\(414\) | 6153.94 | + | 4227.26i | 0.730555 | + | 0.501832i | ||||
\(415\) | − | 25700.3i | − | 3.03994i | ||||||
\(416\) | 10864.9 | − | 1443.99i | 1.28052 | − | 0.170186i | ||||
\(417\) | − | 2081.48i | − | 0.244438i | ||||||
\(418\) | −1641.77 | − | 1325.79i | −0.192109 | − | 0.155135i | ||||
\(419\) | − | 5007.06i | − | 0.583797i | −0.956449 | − | 0.291898i | \(-0.905713\pi\) | ||
0.956449 | − | 0.291898i | \(-0.0942869\pi\) | |||||||
\(420\) | −8141.95 | + | 3129.99i | −0.945920 | + | 0.363638i | ||||
\(421\) | − | 11864.9i | − | 1.37353i | −0.726878 | − | 0.686767i | \(-0.759029\pi\) | ||
0.726878 | − | 0.686767i | \(-0.240971\pi\) | |||||||
\(422\) | −1828.90 | + | 2662.47i | −0.210970 | + | 0.307125i | ||||
\(423\) | 2987.72i | 0.343423i | ||||||||
\(424\) | −2868.74 | + | 11988.1i | −0.328581 | + | 1.37310i | ||||
\(425\) | 292.375 | 0.0333700 | ||||||||
\(426\) | 2012.37 | − | 2929.56i | 0.228873 | − | 0.333187i | ||||
\(427\) | − | 4179.98i | − | 0.473732i | ||||||
\(428\) | 6122.11 | + | 15925.2i | 0.691409 | + | 1.79854i | ||||
\(429\) | 1933.51 | 0.217601 | ||||||||
\(430\) | 12985.7 | + | 8920.15i | 1.45634 | + | 1.00039i | ||||
\(431\) | 2762.11 | 0.308692 | 0.154346 | − | 0.988017i | \(-0.450673\pi\) | ||||
0.154346 | + | 0.988017i | \(0.450673\pi\) | |||||||
\(432\) | −6979.41 | + | 6296.73i | −0.777308 | + | 0.701276i | ||||
\(433\) | 1352.05i | 0.150058i | 0.997181 | + | 0.0750292i | \(0.0239050\pi\) | ||||
−0.997181 | + | 0.0750292i | \(0.976095\pi\) | |||||||
\(434\) | 4292.98 | + | 2948.93i | 0.474815 | + | 0.326159i | ||||
\(435\) | − | 4023.52i | − | 0.443478i | ||||||
\(436\) | −2440.62 | + | 938.243i | −0.268084 | + | 0.103059i | ||||
\(437\) | −1171.45 | + | 15099.4i | −0.128234 | + | 1.65286i | ||||
\(438\) | 1952.09 | − | 2841.81i | 0.212956 | − | 0.310016i | ||||
\(439\) | −10054.6 | −1.09312 | −0.546558 | − | 0.837421i | \(-0.684062\pi\) | ||||
−0.546558 | + | 0.837421i | \(0.684062\pi\) | |||||||
\(440\) | −880.640 | + | 3680.08i | −0.0954156 | + | 0.398730i | ||||
\(441\) | −987.782 | −0.106660 | ||||||||
\(442\) | −187.943 | − | 129.101i | −0.0202251 | − | 0.0138930i | ||||
\(443\) | 739.747i | 0.0793374i | 0.999213 | + | 0.0396687i | \(0.0126303\pi\) | ||||
−0.999213 | + | 0.0396687i | \(0.987370\pi\) | |||||||
\(444\) | 4240.28 | − | 1630.09i | 0.453232 | − | 0.174235i | ||||
\(445\) | 18143.0i | 1.93272i | ||||||||
\(446\) | 1355.07 | − | 1972.68i | 0.143866 | − | 0.209437i | ||||
\(447\) | −2364.15 | −0.250158 | ||||||||
\(448\) | −3840.46 | + | 7564.89i | −0.405010 | + | 0.797784i | ||||
\(449\) | 1524.86i | 0.160273i | 0.996784 | + | 0.0801365i | \(0.0255356\pi\) | ||||
−0.996784 | + | 0.0801365i | \(0.974464\pi\) | |||||||
\(450\) | 5076.44 | − | 7390.15i | 0.531790 | − | 0.774167i | ||||
\(451\) | 3480.16 | 0.363358 | ||||||||
\(452\) | −6735.80 | + | 2589.43i | −0.700941 | + | 0.269462i | ||||
\(453\) | 1135.21 | 0.117741 | ||||||||
\(454\) | −7955.72 | + | 11581.7i | −0.822424 | + | 1.19726i | ||||
\(455\) | −18624.6 | −1.91898 | ||||||||
\(456\) | −6321.46 | − | 2041.05i | −0.649187 | − | 0.209607i | ||||
\(457\) | −11675.4 | −1.19509 | −0.597543 | − | 0.801837i | \(-0.703856\pi\) | ||||
−0.597543 | + | 0.801837i | \(0.703856\pi\) | |||||||
\(458\) | −407.312 | + | 592.955i | −0.0415555 | + | 0.0604955i | ||||
\(459\) | 195.550 | 0.0198856 | ||||||||
\(460\) | 25348.3 | − | 9744.59i | 2.56928 | − | 0.987704i | ||||
\(461\) | 6801.29 | 0.687132 | 0.343566 | − | 0.939129i | \(-0.388365\pi\) | ||||
0.343566 | + | 0.939129i | \(0.388365\pi\) | |||||||
\(462\) | −847.395 | + | 1233.62i | −0.0853342 | + | 0.124227i | ||||
\(463\) | 12855.5i | 1.29038i | 0.764022 | + | 0.645191i | \(0.223222\pi\) | ||||
−0.764022 | + | 0.645191i | \(0.776778\pi\) | |||||||
\(464\) | −2621.37 | − | 2905.57i | −0.262271 | − | 0.290707i | ||||
\(465\) | 7312.45 | 0.729262 | ||||||||
\(466\) | −3862.22 | + | 5622.53i | −0.383935 | + | 0.558924i | ||||
\(467\) | 5042.30i | 0.499636i | 0.968293 | + | 0.249818i | \(0.0803707\pi\) | ||||
−0.968293 | + | 0.249818i | \(0.919629\pi\) | |||||||
\(468\) | −6526.41 | + | 2508.94i | −0.644622 | + | 0.247811i | ||||
\(469\) | 8790.11i | 0.865436i | ||||||||
\(470\) | 8957.76 | + | 6153.26i | 0.879129 | + | 0.603891i | ||||
\(471\) | −9305.75 | −0.910374 | ||||||||
\(472\) | −9792.46 | − | 2343.32i | −0.954946 | − | 0.228517i | ||||
\(473\) | 2703.05 | 0.262762 | ||||||||
\(474\) | 151.102 | − | 219.971i | 0.0146421 | − | 0.0213156i | ||||
\(475\) | 18132.5 | + | 1406.77i | 1.75153 | + | 0.135889i | ||||
\(476\) | 164.738 | − | 63.3300i | 0.0158629 | − | 0.00609816i | ||||
\(477\) | − | 7863.53i | − | 0.754814i | ||||||
\(478\) | 9238.00 | + | 6345.76i | 0.883967 | + | 0.607214i | ||||
\(479\) | − | 8819.98i | − | 0.841326i | −0.907217 | − | 0.420663i | \(-0.861798\pi\) | ||
0.907217 | − | 0.420663i | \(-0.138202\pi\) | |||||||
\(480\) | 1569.28 | + | 11807.7i | 0.149224 | + | 1.12280i | ||||
\(481\) | 9699.62 | 0.919469 | ||||||||
\(482\) | −3616.32 | − | 2484.12i | −0.341741 | − | 0.234748i | ||||
\(483\) | 10740.9 | 1.01186 | ||||||||
\(484\) | −3587.82 | − | 9332.88i | −0.336948 | − | 0.876492i | ||||
\(485\) | − | 22010.3i | − | 2.06069i | ||||||
\(486\) | 5607.76 | − | 8163.64i | 0.523402 | − | 0.761956i | ||||
\(487\) | −16895.2 | −1.57206 | −0.786031 | − | 0.618187i | \(-0.787868\pi\) | ||||
−0.786031 | + | 0.618187i | \(0.787868\pi\) | |||||||
\(488\) | −5551.26 | − | 1328.41i | −0.514947 | − | 0.123226i | ||||
\(489\) | − | 1901.86i | − | 0.175880i | ||||||
\(490\) | −2034.35 | + | 2961.56i | −0.187557 | + | 0.273040i | ||||
\(491\) | 4858.32i | 0.446544i | 0.974756 | + | 0.223272i | \(0.0716738\pi\) | ||||
−0.974756 | + | 0.223272i | \(0.928326\pi\) | |||||||
\(492\) | 10225.6 | − | 3930.99i | 0.936999 | − | 0.360209i | ||||
\(493\) | 81.4089i | 0.00743706i | ||||||||
\(494\) | −11034.7 | − | 8910.92i | −1.00501 | − | 0.811581i | ||||
\(495\) | − | 2413.93i | − | 0.219188i | ||||||
\(496\) | 5280.67 | − | 4764.15i | 0.478043 | − | 0.431284i | ||||
\(497\) | 5873.97i | 0.530148i | ||||||||
\(498\) | −11441.4 | − | 7859.29i | −1.02952 | − | 0.707195i | ||||
\(499\) | − | 7275.02i | − | 0.652654i | −0.945257 | − | 0.326327i | \(-0.894189\pi\) | ||
0.945257 | − | 0.326327i | \(-0.105811\pi\) | |||||||
\(500\) | −5041.05 | − | 13113.1i | −0.450886 | − | 1.17287i | ||||
\(501\) | −6952.09 | −0.619953 | ||||||||
\(502\) | −7493.37 | − | 5147.34i | −0.666226 | − | 0.457644i | ||||
\(503\) | 3504.57i | 0.310658i | 0.987863 | + | 0.155329i | \(0.0496438\pi\) | ||||
−0.987863 | + | 0.155329i | \(0.950356\pi\) | |||||||
\(504\) | 1259.56 | − | 5263.55i | 0.111320 | − | 0.465193i | ||||
\(505\) | −25424.7 | −2.24036 | ||||||||
\(506\) | 2638.19 | − | 3840.61i | 0.231782 | − | 0.337423i | ||||
\(507\) | 5207.73 | 0.456180 | ||||||||
\(508\) | 902.461 | + | 2347.54i | 0.0788193 | + | 0.205030i | ||||
\(509\) | 14856.4i | 1.29371i | 0.762614 | + | 0.646853i | \(0.223915\pi\) | ||||
−0.762614 | + | 0.646853i | \(0.776085\pi\) | |||||||
\(510\) | 140.304 | − | 204.250i | 0.0121819 | − | 0.0177340i | ||||
\(511\) | 5698.02i | 0.493279i | ||||||||
\(512\) | 8826.11 | + | 7504.50i | 0.761841 | + | 0.647764i | ||||
\(513\) | 12127.7 | + | 940.899i | 1.04376 | + | 0.0809779i | ||||
\(514\) | 16743.3 | + | 11501.3i | 1.43680 | + | 0.986967i | ||||
\(515\) | 29171.7 | 2.49603 | ||||||||
\(516\) | 7942.22 | − | 3053.22i | 0.677591 | − | 0.260485i | ||||
\(517\) | 1864.61 | 0.158618 | ||||||||
\(518\) | −4251.03 | + | 6188.54i | −0.360578 | + | 0.524920i | ||||
\(519\) | − | 11950.7i | − | 1.01075i | ||||||
\(520\) | −5918.97 | + | 24734.6i | −0.499161 | + | 2.08593i | ||||
\(521\) | 20204.6i | 1.69901i | 0.527585 | + | 0.849503i | \(0.323098\pi\) | ||||
−0.527585 | + | 0.849503i | \(0.676902\pi\) | |||||||
\(522\) | 2057.72 | + | 1413.48i | 0.172536 | + | 0.118518i | ||||
\(523\) | −2735.18 | −0.228683 | −0.114341 | − | 0.993442i | \(-0.536476\pi\) | ||||
−0.114341 | + | 0.993442i | \(0.536476\pi\) | |||||||
\(524\) | −15005.0 | + | 5768.34i | −1.25095 | + | 0.480899i | ||||
\(525\) | − | 12898.6i | − | 1.07227i | ||||||
\(526\) | −12383.3 | − | 8506.32i | −1.02650 | − | 0.705120i | ||||
\(527\) | −147.955 | −0.0122296 | ||||||||
\(528\) | 1369.01 | + | 1517.44i | 0.112838 | + | 0.125072i | ||||
\(529\) | −21272.7 | −1.74839 | ||||||||
\(530\) | −23576.4 | − | 16195.1i | −1.93225 | − | 1.32730i | ||||
\(531\) | 6423.30 | 0.524948 | ||||||||
\(532\) | 10521.5 | − | 3134.96i | 0.857450 | − | 0.255485i | ||||
\(533\) | 23390.9 | 1.90088 | ||||||||
\(534\) | 8076.96 | + | 5548.22i | 0.654540 | + | 0.449616i | ||||
\(535\) | −39589.8 | −3.19928 | ||||||||
\(536\) | 11673.8 | + | 2793.52i | 0.940728 | + | 0.225115i | ||||
\(537\) | 4187.54 | 0.336509 | ||||||||
\(538\) | −736.973 | − | 506.241i | −0.0590579 | − | 0.0405680i | ||||
\(539\) | 616.465i | 0.0492635i | ||||||||
\(540\) | −7826.77 | − | 20359.5i | −0.623723 | − | 1.62247i | ||||
\(541\) | −1260.78 | −0.100194 | −0.0500971 | − | 0.998744i | \(-0.515953\pi\) | ||||
−0.0500971 | + | 0.998744i | \(0.515953\pi\) | |||||||
\(542\) | 7231.98 | + | 4967.78i | 0.573137 | + | 0.393698i | ||||
\(543\) | 4097.20i | 0.323808i | ||||||||
\(544\) | −31.7517 | − | 238.908i | −0.00250247 | − | 0.0188293i | ||||
\(545\) | − | 6067.33i | − | 0.476873i | ||||||
\(546\) | −5695.52 | + | 8291.40i | −0.446421 | + | 0.649888i | ||||
\(547\) | 19283.7 | 1.50733 | 0.753665 | − | 0.657258i | \(-0.228284\pi\) | ||||
0.753665 | + | 0.657258i | \(0.228284\pi\) | |||||||
\(548\) | −957.531 | − | 2490.79i | −0.0746418 | − | 0.194163i | ||||
\(549\) | 3641.32 | 0.283074 | ||||||||
\(550\) | −4612.12 | − | 3168.15i | −0.357566 | − | 0.245619i | ||||
\(551\) | −391.702 | + | 5048.83i | −0.0302851 | + | 0.390358i | ||||
\(552\) | 3413.50 | − | 14264.6i | 0.263204 | − | 1.09989i | ||||
\(553\) | 441.056i | 0.0339161i | ||||||||
\(554\) | −9481.51 | + | 13803.0i | −0.727131 | + | 1.05854i | ||||
\(555\) | 10541.3i | 0.806219i | ||||||||
\(556\) | 4384.78 | − | 1685.63i | 0.334453 | − | 0.128573i | ||||
\(557\) | −11962.5 | −0.909993 | −0.454997 | − | 0.890493i | \(-0.650360\pi\) | ||||
−0.454997 | + | 0.890493i | \(0.650360\pi\) | |||||||
\(558\) | −2568.91 | + | 3739.75i | −0.194893 | + | 0.283721i | ||||
\(559\) | 18167.8 | 1.37462 | ||||||||
\(560\) | −13187.1 | − | 14616.8i | −0.995098 | − | 1.10299i | ||||
\(561\) | − | 42.5159i | − | 0.00319968i | ||||||
\(562\) | 4991.73 | + | 3428.92i | 0.374668 | + | 0.257367i | ||||
\(563\) | −9757.18 | −0.730402 | −0.365201 | − | 0.930929i | \(-0.619000\pi\) | ||||
−0.365201 | + | 0.930929i | \(0.619000\pi\) | |||||||
\(564\) | 5478.67 | − | 2106.15i | 0.409031 | − | 0.157243i | ||||
\(565\) | − | 16745.1i | − | 1.24685i | ||||||
\(566\) | −18107.5 | − | 12438.4i | −1.34472 | − | 0.923717i | ||||
\(567\) | − | 2169.01i | − | 0.160652i | ||||||
\(568\) | 7800.97 | + | 1866.76i | 0.576270 | + | 0.137901i | ||||
\(569\) | − | 10963.6i | − | 0.807766i | −0.914811 | − | 0.403883i | \(-0.867660\pi\) | ||
0.914811 | − | 0.403883i | \(-0.132340\pi\) | |||||||
\(570\) | 9684.13 | − | 11992.2i | 0.711620 | − | 0.881222i | ||||
\(571\) | − | 21741.8i | − | 1.59346i | −0.604337 | − | 0.796728i | \(-0.706562\pi\) | ||
0.604337 | − | 0.796728i | \(-0.293438\pi\) | |||||||
\(572\) | 1565.80 | + | 4073.07i | 0.114457 | + | 0.297733i | ||||
\(573\) | − | 10879.2i | − | 0.793169i | ||||||
\(574\) | −10251.5 | + | 14923.8i | −0.745449 | + | 1.08521i | ||||
\(575\) | 40157.1i | 2.91247i | ||||||||
\(576\) | −6590.02 | − | 3345.55i | −0.476708 | − | 0.242010i | ||||
\(577\) | 10398.3 | 0.750234 | 0.375117 | − | 0.926977i | \(-0.377602\pi\) | ||||
0.375117 | + | 0.926977i | \(0.377602\pi\) | |||||||
\(578\) | 7865.16 | − | 11449.9i | 0.565999 | − | 0.823968i | ||||
\(579\) | − | 3496.26i | − | 0.250949i | ||||||
\(580\) | 8475.79 | − | 3258.33i | 0.606790 | − | 0.233267i | ||||
\(581\) | 22940.7 | 1.63811 | ||||||||
\(582\) | −9798.64 | − | 6730.87i | −0.697881 | − | 0.479388i | ||||
\(583\) | −4907.55 | −0.348628 | ||||||||
\(584\) | 7567.30 | + | 1810.85i | 0.536194 | + | 0.128311i | ||||
\(585\) | − | 16224.5i | − | 1.14667i | ||||||
\(586\) | −4591.67 | − | 3154.11i | −0.323686 | − | 0.222346i | ||||
\(587\) | 21602.5i | 1.51896i | 0.650528 | + | 0.759482i | \(0.274548\pi\) | ||||
−0.650528 | + | 0.759482i | \(0.725452\pi\) | |||||||
\(588\) | 696.324 | + | 1811.32i | 0.0488366 | + | 0.127037i | ||||
\(589\) | −9175.88 | − | 711.891i | −0.641911 | − | 0.0498013i | ||||
\(590\) | 13228.9 | − | 19258.3i | 0.923093 | − | 1.34382i | ||||
\(591\) | 8500.53 | 0.591650 | ||||||||
\(592\) | 6867.76 | + | 7612.35i | 0.476796 | + | 0.528489i | ||||
\(593\) | 1278.08 | 0.0885068 | 0.0442534 | − | 0.999020i | \(-0.485909\pi\) | ||||
0.0442534 | + | 0.999020i | \(0.485909\pi\) | |||||||
\(594\) | −3084.75 | − | 2118.97i | −0.213079 | − | 0.146368i | ||||
\(595\) | 409.536i | 0.0282174i | ||||||||
\(596\) | −1914.54 | − | 4980.23i | −0.131582 | − | 0.342279i | ||||
\(597\) | 5957.25i | 0.408399i | ||||||||
\(598\) | 17731.8 | − | 25813.6i | 1.21256 | − | 1.76521i | ||||
\(599\) | −12429.7 | −0.847851 | −0.423925 | − | 0.905697i | \(-0.639348\pi\) | ||||
−0.423925 | + | 0.905697i | \(0.639348\pi\) | |||||||
\(600\) | −17130.1 | − | 4099.21i | −1.16556 | − | 0.278916i | ||||
\(601\) | − | 1884.25i | − | 0.127887i | −0.997954 | − | 0.0639435i | \(-0.979632\pi\) | ||
0.997954 | − | 0.0639435i | \(-0.0203677\pi\) | |||||||
\(602\) | −7962.34 | + | 11591.4i | −0.539071 | + | 0.784767i | ||||
\(603\) | −7657.34 | −0.517133 | ||||||||
\(604\) | 919.318 | + | 2391.39i | 0.0619313 | + | 0.161100i | ||||
\(605\) | 23201.4 | 1.55912 | ||||||||
\(606\) | −7775.01 | + | 11318.7i | −0.521185 | + | 0.758729i | ||||
\(607\) | 13318.6 | 0.890583 | 0.445291 | − | 0.895386i | \(-0.353100\pi\) | ||||
0.445291 | + | 0.895386i | \(0.353100\pi\) | |||||||
\(608\) | −819.663 | − | 14969.4i | −0.0546739 | − | 0.998504i | ||||
\(609\) | 3591.49 | 0.238973 | ||||||||
\(610\) | 7499.35 | − | 10917.4i | 0.497770 | − | 0.724642i | ||||
\(611\) | 12532.4 | 0.829799 | ||||||||
\(612\) | 55.1688 | + | 143.509i | 0.00364390 | + | 0.00947875i | ||||
\(613\) | −6904.69 | −0.454940 | −0.227470 | − | 0.973785i | \(-0.573045\pi\) | ||||
−0.227470 | + | 0.973785i | \(0.573045\pi\) | |||||||
\(614\) | 8862.52 | − | 12901.8i | 0.582512 | − | 0.848006i | ||||
\(615\) | 25420.5i | 1.66676i | ||||||||
\(616\) | −3284.93 | − | 786.081i | −0.214860 | − | 0.0514157i | ||||
\(617\) | 18048.1 | 1.17762 | 0.588810 | − | 0.808272i | \(-0.299597\pi\) | ||||
0.588810 | + | 0.808272i | \(0.299597\pi\) | |||||||
\(618\) | 8920.86 | − | 12986.8i | 0.580663 | − | 0.845314i | ||||
\(619\) | − | 5281.51i | − | 0.342943i | −0.985189 | − | 0.171472i | \(-0.945148\pi\) | ||
0.985189 | − | 0.171472i | \(-0.0548522\pi\) | |||||||
\(620\) | 5921.79 | + | 15404.1i | 0.383588 | + | 0.997815i | ||||
\(621\) | 26858.5i | 1.73558i | ||||||||
\(622\) | 5557.05 | + | 3817.24i | 0.358227 | + | 0.246073i | ||||
\(623\) | −16194.8 | −1.04146 | ||||||||
\(624\) | 9201.41 | + | 10199.0i | 0.590306 | + | 0.654307i | ||||
\(625\) | 5149.01 | 0.329537 | ||||||||
\(626\) | −14764.3 | + | 21493.6i | −0.942655 | + | 1.37229i | ||||
\(627\) | 204.567 | − | 2636.75i | 0.0130297 | − | 0.167946i | ||||
\(628\) | −7536.00 | − | 19603.1i | −0.478852 | − | 1.24562i | ||||
\(629\) | − | 213.284i | − | 0.0135202i | ||||||
\(630\) | 10351.5 | + | 7110.68i | 0.654628 | + | 0.449676i | ||||
\(631\) | − | 10792.6i | − | 0.680897i | −0.940263 | − | 0.340449i | \(-0.889421\pi\) | ||
0.940263 | − | 0.340449i | \(-0.110579\pi\) | |||||||
\(632\) | 585.749 | + | 140.169i | 0.0368668 | + | 0.00882219i | ||||
\(633\) | −4048.16 | −0.254186 | ||||||||
\(634\) | 16372.1 | + | 11246.3i | 1.02558 | + | 0.704491i | ||||
\(635\) | −5835.94 | −0.364712 | ||||||||
\(636\) | −14419.6 | + | 5543.29i | −0.899015 | + | 0.345607i | ||||
\(637\) | 4143.39i | 0.257719i | ||||||||
\(638\) | 882.141 | − | 1284.20i | 0.0547403 | − | 0.0796896i | ||||
\(639\) | −5117.00 | −0.316785 | ||||||||
\(640\) | −23602.8 | + | 12867.9i | −1.45779 | + | 0.794765i | ||||
\(641\) | − | 1266.05i | − | 0.0780126i | −0.999239 | − | 0.0390063i | \(-0.987581\pi\) | ||
0.999239 | − | 0.0390063i | \(-0.0124192\pi\) | |||||||
\(642\) | −12106.8 | + | 17624.8i | −0.744263 | + | 1.08348i | ||||
\(643\) | 17565.7i | 1.07733i | 0.842520 | + | 0.538664i | \(0.181071\pi\) | ||||
−0.842520 | + | 0.538664i | \(0.818929\pi\) | |||||||
\(644\) | 8698.26 | + | 22626.5i | 0.532235 | + | 1.38448i | ||||
\(645\) | 19744.2i | 1.20531i | ||||||||
\(646\) | −195.941 | + | 242.641i | −0.0119338 | + | 0.0147780i | ||||
\(647\) | − | 14039.6i | − | 0.853098i | −0.904464 | − | 0.426549i | \(-0.859729\pi\) | ||
0.904464 | − | 0.426549i | \(-0.140271\pi\) | |||||||
\(648\) | −2880.57 | − | 689.316i | −0.174629 | − | 0.0417884i | ||||
\(649\) | − | 4008.72i | − | 0.242459i | ||||||
\(650\) | −30999.0 | − | 21293.8i | −1.87059 | − | 1.28494i | ||||
\(651\) | 6527.27i | 0.392971i | ||||||||
\(652\) | 4006.40 | − | 1540.17i | 0.240648 | − | 0.0925119i | ||||
\(653\) | −17339.1 | −1.03910 | −0.519548 | − | 0.854441i | \(-0.673900\pi\) | ||||
−0.519548 | + | 0.854441i | \(0.673900\pi\) | |||||||
\(654\) | −2701.08 | − | 1855.42i | −0.161499 | − | 0.110937i | ||||
\(655\) | − | 37302.1i | − | 2.22521i | ||||||
\(656\) | 16561.8 | + | 18357.4i | 0.985714 | + | 1.09258i | ||||
\(657\) | −4963.73 | −0.294754 | ||||||||
\(658\) | −5492.54 | + | 7995.91i | −0.325413 | + | 0.473728i | ||||
\(659\) | −9425.92 | −0.557180 | −0.278590 | − | 0.960410i | \(-0.589867\pi\) | ||||
−0.278590 | + | 0.960410i | \(0.589867\pi\) | |||||||
\(660\) | −4426.49 | + | 1701.67i | −0.261062 | + | 0.100360i | ||||
\(661\) | − | 27256.9i | − | 1.60389i | −0.597397 | − | 0.801946i | \(-0.703798\pi\) | ||
0.597397 | − | 0.801946i | \(-0.296202\pi\) | |||||||
\(662\) | −7563.86 | + | 11011.3i | −0.444075 | + | 0.646473i | ||||
\(663\) | − | 285.758i | − | 0.0167389i | ||||||
\(664\) | 7290.62 | − | 30466.6i | 0.426101 | − | 1.78062i | ||||
\(665\) | −1970.50 | + | 25398.6i | −0.114906 | + | 1.48108i | ||||
\(666\) | −5391.03 | − | 3703.20i | −0.313661 | − | 0.215460i | ||||
\(667\) | −11181.4 | −0.649091 | ||||||||
\(668\) | −5629.96 | − | 14645.0i | −0.326092 | − | 0.848253i | ||||
\(669\) | 2999.37 | 0.173337 | ||||||||
\(670\) | −15770.4 | + | 22958.2i | −0.909350 | + | 1.32381i | ||||
\(671\) | − | 2272.51i | − | 0.130744i | ||||||
\(672\) | −10539.8 | + | 1400.78i | −0.605034 | + | 0.0804110i | ||||
\(673\) | − | 11728.9i | − | 0.671790i | −0.941899 | − | 0.335895i | \(-0.890961\pi\) | ||
0.941899 | − | 0.335895i | \(-0.109039\pi\) | |||||||
\(674\) | 19061.3 | + | 13093.6i | 1.08934 | + | 0.748286i | ||||
\(675\) | 32253.8 | 1.83919 | ||||||||
\(676\) | 4217.34 | + | 10970.4i | 0.239949 | + | 0.624170i | ||||
\(677\) | 24867.7i | 1.41173i | 0.708344 | + | 0.705867i | \(0.249443\pi\) | ||||
−0.708344 | + | 0.705867i | \(0.750557\pi\) | |||||||
\(678\) | −7454.64 | − | 5120.73i | −0.422262 | − | 0.290060i | ||||
\(679\) | 19646.9 | 1.11043 | ||||||||
\(680\) | 543.888 | + | 130.152i | 0.0306723 | + | 0.00733984i | ||||
\(681\) | −17609.5 | −0.990892 | ||||||||
\(682\) | 2333.94 | + | 1603.23i | 0.131043 | + | 0.0900158i | ||||
\(683\) | −22062.3 | −1.23600 | −0.618001 | − | 0.786177i | \(-0.712057\pi\) | ||||
−0.618001 | + | 0.786177i | \(0.712057\pi\) | |||||||
\(684\) | 2730.97 | + | 9165.59i | 0.152663 | + | 0.512361i | ||||
\(685\) | 6192.06 | 0.345382 | ||||||||
\(686\) | −15894.1 | − | 10917.9i | −0.884603 | − | 0.607651i | ||||
\(687\) | −901.560 | −0.0500679 | ||||||||
\(688\) | 12863.6 | + | 14258.2i | 0.712819 | + | 0.790102i | ||||
\(689\) | −32984.7 | −1.82383 | ||||||||
\(690\) | 28053.4 | + | 19270.4i | 1.54779 | + | 1.06321i | ||||
\(691\) | 1661.19i | 0.0914537i | 0.998954 | + | 0.0457268i | \(0.0145604\pi\) | ||||
−0.998954 | + | 0.0457268i | \(0.985440\pi\) | |||||||
\(692\) | 25175.0 | − | 9677.98i | 1.38296 | − | 0.531650i | ||||
\(693\) | 2154.73 | 0.118112 | ||||||||
\(694\) | 5540.00 | + | 3805.53i | 0.303019 | + | 0.208150i | ||||
\(695\) | 10900.5i | 0.594933i | ||||||||
\(696\) | 1141.39 | − | 4769.71i | 0.0621611 | − | 0.259763i | ||||
\(697\) | − | 514.340i | − | 0.0279513i | ||||||
\(698\) | −5189.72 | + | 7555.07i | −0.281424 | + | 0.409690i | ||||
\(699\) | −8548.79 | −0.462582 | ||||||||
\(700\) | 27171.7 | − | 10445.6i | 1.46713 | − | 0.564008i | ||||
\(701\) | −23569.5 | −1.26991 | −0.634955 | − | 0.772549i | \(-0.718981\pi\) | ||||
−0.634955 | + | 0.772549i | \(0.718981\pi\) | |||||||
\(702\) | −20733.2 | − | 14242.0i | −1.11471 | − | 0.765714i | ||||
\(703\) | 1026.23 | − | 13227.5i | 0.0550567 | − | 0.709650i | ||||
\(704\) | −2087.92 | + | 4112.76i | −0.111778 | + | 0.220178i | ||||
\(705\) | 13619.9i | 0.727594i | ||||||||
\(706\) | 7824.16 | − | 11390.2i | 0.417091 | − | 0.607191i | ||||
\(707\) | − | 22694.7i | − | 1.20724i | ||||||
\(708\) | −4528.02 | − | 11778.6i | −0.240358 | − | 0.625235i | ||||
\(709\) | −11337.8 | −0.600562 | −0.300281 | − | 0.953851i | \(-0.597081\pi\) | ||||
−0.300281 | + | 0.953851i | \(0.597081\pi\) | |||||||
\(710\) | −10538.5 | + | 15341.8i | −0.557049 | + | 0.810938i | ||||
\(711\) | −384.218 | −0.0202663 | ||||||||
\(712\) | −5146.77 | + | 21507.7i | −0.270904 | + | 1.13207i | ||||
\(713\) | − | 20321.3i | − | 1.06738i | ||||||
\(714\) | 182.319 | + | 125.238i | 0.00955618 | + | 0.00656432i | ||||
\(715\) | −10125.6 | −0.529615 | ||||||||
\(716\) | 3391.16 | + | 8821.31i | 0.177002 | + | 0.460430i | ||||
\(717\) | 14046.0i | 0.731598i | ||||||||
\(718\) | 17195.6 | + | 11812.0i | 0.893781 | + | 0.613955i | ||||
\(719\) | 7001.75i | 0.363173i | 0.983375 | + | 0.181586i | \(0.0581232\pi\) | ||||
−0.983375 | + | 0.181586i | \(0.941877\pi\) | |||||||
\(720\) | 12733.1 | − | 11487.7i | 0.659078 | − | 0.594611i | ||||
\(721\) | 26039.3i | 1.34501i | ||||||||
\(722\) | −13319.4 | + | 14105.3i | −0.686561 | + | 0.727072i | ||||
\(723\) | − | 5498.45i | − | 0.282835i | ||||||
\(724\) | −8631.00 | + | 3318.00i | −0.443051 | + | 0.170321i | ||||
\(725\) | 13427.5i | 0.687841i | ||||||||
\(726\) | 7095.11 | − | 10328.9i | 0.362705 | − | 0.528018i | ||||
\(727\) | − | 10143.9i | − | 0.517492i | −0.965945 | − | 0.258746i | \(-0.916691\pi\) | ||
0.965945 | − | 0.258746i | \(-0.0833092\pi\) | |||||||
\(728\) | −22078.7 | − | 5283.41i | −1.12403 | − | 0.268978i | ||||
\(729\) | 15946.7 | 0.810176 | ||||||||
\(730\) | −10222.9 | + | 14882.2i | −0.518309 | + | 0.754541i | ||||
\(731\) | − | 399.490i | − | 0.0202129i | ||||||
\(732\) | −2566.90 | − | 6677.19i | −0.129611 | − | 0.337153i | ||||
\(733\) | 8062.55 | 0.406272 | 0.203136 | − | 0.979151i | \(-0.434887\pi\) | ||||
0.203136 | + | 0.979151i | \(0.434887\pi\) | |||||||
\(734\) | −18832.2 | − | 12936.2i | −0.947014 | − | 0.650522i | ||||
\(735\) | −4502.92 | −0.225976 | ||||||||
\(736\) | 32813.6 | − | 4361.04i | 1.64338 | − | 0.218410i | ||||
\(737\) | 4778.87i | 0.238849i | ||||||||
\(738\) | −13000.6 | − | 8930.37i | −0.648455 | − | 0.445436i | ||||
\(739\) | − | 14484.1i | − | 0.720982i | −0.932763 | − | 0.360491i | \(-0.882609\pi\) | ||
0.932763 | − | 0.360491i | \(-0.117391\pi\) | |||||||
\(740\) | −22205.8 | + | 8536.55i | −1.10311 | + | 0.424067i | ||||
\(741\) | 1374.94 | − | 17722.2i | 0.0681640 | − | 0.878597i | ||||
\(742\) | 14456.1 | − | 21044.8i | 0.715230 | − | 1.04121i | ||||
\(743\) | 28741.3 | 1.41913 | 0.709566 | − | 0.704639i | \(-0.248891\pi\) | ||||
0.709566 | + | 0.704639i | \(0.248891\pi\) | |||||||
\(744\) | 8668.60 | + | 2074.39i | 0.427159 | + | 0.102219i | ||||
\(745\) | 12380.8 | 0.608854 | ||||||||
\(746\) | 10859.5 | + | 7459.63i | 0.532971 | + | 0.366108i | ||||
\(747\) | 19984.4i | 0.978835i | ||||||||
\(748\) | 89.5623 | − | 34.4303i | 0.00437797 | − | 0.00168302i | ||||
\(749\) | − | 35338.8i | − | 1.72397i | ||||||
\(750\) | 9968.94 | − | 14512.5i | 0.485352 | − | 0.706564i | ||||
\(751\) | 15219.1 | 0.739487 | 0.369743 | − | 0.929134i | \(-0.379446\pi\) | ||||
0.369743 | + | 0.929134i | \(0.379446\pi\) | |||||||
\(752\) | 8873.50 | + | 9835.55i | 0.430297 | + | 0.476949i | ||||
\(753\) | − | 11393.3i | − | 0.551389i | ||||||
\(754\) | 5929.06 | − | 8631.37i | 0.286371 | − | 0.416891i | ||||
\(755\) | −5944.95 | −0.286568 | ||||||||
\(756\) | 18173.4 | − | 6986.36i | 0.874285 | − | 0.336100i | ||||
\(757\) | 39653.8 | 1.90388 | 0.951942 | − | 0.306278i | \(-0.0990837\pi\) | ||||
0.951942 | + | 0.306278i | \(0.0990837\pi\) | |||||||
\(758\) | −12651.6 | + | 18417.8i | −0.606234 | + | 0.882540i | ||||
\(759\) | 5839.47 | 0.279261 | ||||||||
\(760\) | 33104.7 | + | 10688.7i | 1.58004 | + | 0.510158i | ||||
\(761\) | −11503.3 | −0.547956 | −0.273978 | − | 0.961736i | \(-0.588340\pi\) | ||||
−0.273978 | + | 0.961736i | \(0.588340\pi\) | |||||||
\(762\) | −1784.66 | + | 2598.07i | −0.0848445 | + | 0.123515i | ||||
\(763\) | 5415.85 | 0.256968 | ||||||||
\(764\) | 22917.7 | − | 8810.23i | 1.08526 | − | 0.417203i | ||||
\(765\) | −356.760 | −0.0168610 | ||||||||
\(766\) | −11545.7 | + | 16807.9i | −0.544598 | + | 0.792812i | ||||
\(767\) | − | 26943.4i | − | 1.26841i | ||||||
\(768\) | −1489.28 | + | 14442.7i | −0.0699735 | + | 0.678589i | ||||
\(769\) | −15991.0 | −0.749871 | −0.374935 | − | 0.927051i | \(-0.622335\pi\) | ||||
−0.374935 | + | 0.927051i | \(0.622335\pi\) | |||||||
\(770\) | 4437.70 | − | 6460.30i | 0.207693 | − | 0.302355i | ||||
\(771\) | 25457.4i | 1.18914i | ||||||||
\(772\) | 7365.08 | − | 2831.35i | 0.343362 | − | 0.131998i | ||||
\(773\) | − | 9356.62i | − | 0.435361i | −0.976020 | − | 0.217681i | \(-0.930151\pi\) | ||
0.976020 | − | 0.217681i | \(-0.0698491\pi\) | |||||||
\(774\) | −10097.6 | − | 6936.25i | −0.468930 | − | 0.322117i | ||||
\(775\) | −24403.5 | −1.13110 | ||||||||
\(776\) | 6243.85 | − | 26092.3i | 0.288842 | − | 1.20703i | ||||
\(777\) | −9409.39 | −0.434440 | ||||||||
\(778\) | 20020.1 | − | 29144.8i | 0.922565 | − | 1.34305i | ||||
\(779\) | 2474.77 | − | 31898.4i | 0.113823 | − | 1.46711i | ||||
\(780\) | −29751.4 | + | 11437.3i | −1.36573 | + | 0.525025i | ||||
\(781\) | 3193.47i | 0.146314i | ||||||||
\(782\) | −567.612 | − | 389.904i | −0.0259562 | − | 0.0178298i | ||||
\(783\) | 8980.77i | 0.409893i | ||||||||
\(784\) | −3251.77 | + | 2933.70i | −0.148131 | + | 0.133642i | ||||
\(785\) | 48733.0 | 2.21574 | ||||||||
\(786\) | −16606.3 | − | 11407.2i | −0.753598 | − | 0.517661i | ||||
\(787\) | −16427.1 | −0.744045 | −0.372023 | − | 0.928224i | \(-0.621336\pi\) | ||||
−0.372023 | + | 0.928224i | \(0.621336\pi\) | |||||||
\(788\) | 6883.92 | + | 17906.9i | 0.311205 | + | 0.809527i | ||||
\(789\) | − | 18828.2i | − | 0.849559i | ||||||
\(790\) | −791.303 | + | 1151.96i | −0.0356371 | + | 0.0518796i | ||||
\(791\) | 14947.0 | 0.671878 | ||||||||
\(792\) | 684.780 | − | 2861.61i | 0.0307230 | − | 0.128387i | ||||
\(793\) | − | 15274.0i | − | 0.683980i | ||||||
\(794\) | 18481.3 | − | 26904.6i | 0.826041 | − | 1.20253i | ||||
\(795\) | − | 35846.8i | − | 1.59919i | ||||||
\(796\) | −12549.3 | + | 4824.32i | −0.558793 | + | 0.214816i | ||||
\(797\) | − | 13391.8i | − | 0.595183i | −0.954693 | − | 0.297591i | \(-0.903817\pi\) | ||
0.954693 | − | 0.297591i | \(-0.0961833\pi\) | |||||||
\(798\) | 10704.5 | + | 8644.28i | 0.474856 | + | 0.383464i | ||||
\(799\) | − | 275.574i | − | 0.0122016i | ||||||
\(800\) | −5237.09 | − | 39405.3i | −0.231449 | − | 1.74148i | ||||
\(801\) | − | 14107.8i | − | 0.622317i | ||||||
\(802\) | −12600.6 | − | 8655.60i | −0.554792 | − | 0.381097i | ||||
\(803\) | 3097.81i | 0.136139i | ||||||||
\(804\) | 5397.94 | + | 14041.5i | 0.236780 | + | 0.615927i | ||||
\(805\) | −56249.0 | −2.46275 | ||||||||
\(806\) | 15686.9 | + | 10775.6i | 0.685543 | + | 0.470913i | ||||
\(807\) | − | 1120.53i | − | 0.0488781i | ||||||
\(808\) | −30139.9 | − | 7212.44i | −1.31227 | − | 0.314026i | ||||
\(809\) | −22763.6 | −0.989279 | −0.494640 | − | 0.869098i | \(-0.664700\pi\) | ||||
−0.494640 | + | 0.869098i | \(0.664700\pi\) | |||||||
\(810\) | 3891.43 | − | 5665.05i | 0.168804 | − | 0.245740i | ||||
\(811\) | −31860.0 | −1.37948 | −0.689739 | − | 0.724058i | \(-0.742275\pi\) | ||||
−0.689739 | + | 0.724058i | \(0.742275\pi\) | |||||||
\(812\) | 2908.47 | + | 7565.70i | 0.125699 | + | 0.326975i | ||||
\(813\) | 10995.9i | 0.474345i | ||||||||
\(814\) | −2311.13 | + | 3364.49i | −0.0995150 | + | 0.144871i | ||||
\(815\) | 9959.82i | 0.428070i | ||||||||
\(816\) | 224.265 | − | 202.329i | 0.00962115 | − | 0.00868007i | ||||
\(817\) | 1922.16 | − | 24775.6i | 0.0823108 | − | 1.06094i | ||||
\(818\) | 18250.0 | + | 12536.3i | 0.780068 | + | 0.535844i | ||||
\(819\) | 14482.4 | 0.617895 | ||||||||
\(820\) | −53550.0 | + | 20586.1i | −2.28054 | + | 0.876705i | ||||
\(821\) | −26858.4 | −1.14173 | −0.570867 | − | 0.821042i | \(-0.693393\pi\) | ||||
−0.570867 | + | 0.821042i | \(0.693393\pi\) | |||||||
\(822\) | 1893.57 | − | 2756.61i | 0.0803476 | − | 0.116968i | ||||
\(823\) | 6752.33i | 0.285992i | 0.989723 | + | 0.142996i | \(0.0456736\pi\) | ||||
−0.989723 | + | 0.142996i | \(0.954326\pi\) | |||||||
\(824\) | 34581.8 | + | 8275.37i | 1.46203 | + | 0.349862i | ||||
\(825\) | − | 7012.52i | − | 0.295933i | ||||||
\(826\) | 17190.4 | + | 11808.4i | 0.724130 | + | 0.497418i | ||||
\(827\) | −21649.4 | −0.910304 | −0.455152 | − | 0.890414i | \(-0.650415\pi\) | ||||
−0.455152 | + | 0.890414i | \(0.650415\pi\) | |||||||
\(828\) | −19710.7 | + | 7577.33i | −0.827286 | + | 0.318032i | ||||
\(829\) | 25084.0i | 1.05091i | 0.850821 | + | 0.525455i | \(0.176105\pi\) | ||||
−0.850821 | + | 0.525455i | \(0.823895\pi\) | |||||||
\(830\) | 59917.0 | + | 41158.1i | 2.50572 | + | 1.72123i | ||||
\(831\) | −20986.7 | −0.876080 | ||||||||
\(832\) | −14033.4 | + | 27642.7i | −0.584759 | + | 1.15185i | ||||
\(833\) | 91.1087 | 0.00378959 | ||||||||
\(834\) | 4852.72 | + | 3333.42i | 0.201482 | + | 0.138402i | ||||
\(835\) | 36407.2 | 1.50889 | ||||||||
\(836\) | 5720.15 | − | 1704.37i | 0.236645 | − | 0.0705106i | ||||
\(837\) | −16321.9 | −0.674035 | ||||||||
\(838\) | 11673.3 | + | 8018.63i | 0.481204 | + | 0.330548i | ||||
\(839\) | 12037.6 | 0.495332 | 0.247666 | − | 0.968845i | \(-0.420336\pi\) | ||||
0.247666 | + | 0.968845i | \(0.420336\pi\) | |||||||
\(840\) | 5741.86 | − | 23994.5i | 0.235849 | − | 0.985582i | ||||
\(841\) | 20650.2 | 0.846703 | ||||||||
\(842\) | 27661.4 | + | 19001.2i | 1.13216 | + | 0.777700i | ||||
\(843\) | 7589.70i | 0.310087i | ||||||||
\(844\) | −3278.29 | − | 8527.70i | −0.133701 | − | 0.347791i | ||||
\(845\) | −27272.2 | −1.11029 | ||||||||
\(846\) | −6965.50 | − | 4784.73i | −0.283072 | − | 0.194447i | ||||
\(847\) | 20710.1i | 0.840150i | ||||||||
\(848\) | −23354.6 | − | 25886.7i | −0.945755 | − | 1.04829i | ||||
\(849\) | − | 27531.6i | − | 1.11293i | ||||||
\(850\) | −468.228 | + | 681.635i | −0.0188942 | + | 0.0275058i | ||||
\(851\) | 29294.2 | 1.18001 | ||||||||
\(852\) | 3607.16 | + | 9383.19i | 0.145046 | + | 0.377304i | ||||
\(853\) | 32873.9 | 1.31955 | 0.659777 | − | 0.751461i | \(-0.270651\pi\) | ||||
0.659777 | + | 0.751461i | \(0.270651\pi\) | |||||||
\(854\) | 9745.11 | + | 6694.10i | 0.390481 | + | 0.268229i | ||||
\(855\) | −22125.6 | − | 1716.56i | −0.885004 | − | 0.0686611i | ||||
\(856\) | −46932.0 | − | 11230.8i | −1.87395 | − | 0.448435i | ||||
\(857\) | 39474.6i | 1.57343i | 0.617319 | + | 0.786713i | \(0.288219\pi\) | ||||
−0.617319 | + | 0.786713i | \(0.711781\pi\) | |||||||
\(858\) | −3096.45 | + | 4507.74i | −0.123207 | + | 0.179361i | ||||
\(859\) | − | 26364.2i | − | 1.04719i | −0.851968 | − | 0.523594i | \(-0.824591\pi\) | ||
0.851968 | − | 0.523594i | \(-0.175409\pi\) | |||||||
\(860\) | −41592.4 | + | 15989.3i | −1.64917 | + | 0.633989i | ||||
\(861\) | −22691.0 | −0.898149 | ||||||||
\(862\) | −4423.43 | + | 6439.52i | −0.174783 | + | 0.254444i | ||||
\(863\) | 12489.7 | 0.492646 | 0.246323 | − | 0.969188i | \(-0.420778\pi\) | ||||
0.246323 | + | 0.969188i | \(0.420778\pi\) | |||||||
\(864\) | −3502.74 | − | 26355.6i | −0.137923 | − | 1.03777i | ||||
\(865\) | 62584.5i | 2.46004i | ||||||||
\(866\) | −3152.13 | − | 2165.26i | −0.123688 | − | 0.0849636i | ||||
\(867\) | 17409.1 | 0.681941 | ||||||||
\(868\) | −13750.1 | + | 5285.93i | −0.537684 | + | 0.206701i | ||||
\(869\) | 239.787i | 0.00936042i | ||||||||
\(870\) | 9380.33 | + | 6443.52i | 0.365543 | + | 0.251099i | ||||
\(871\) | 32119.8i | 1.24953i | ||||||||
\(872\) | 1721.17 | − | 7192.56i | 0.0668420 | − | 0.279325i | ||||
\(873\) | 17115.1i | 0.663525i | ||||||||
\(874\) | −33326.2 | − | 26912.2i | −1.28979 | − | 1.04155i | ||||
\(875\) | 29098.6i | 1.12424i | ||||||||
\(876\) | 3499.11 | + | 9102.12i | 0.134959 | + | 0.351064i | ||||
\(877\) | 28313.8i | 1.09018i | 0.838377 | + | 0.545091i | \(0.183505\pi\) | ||||
−0.838377 | + | 0.545091i | \(0.816495\pi\) | |||||||
\(878\) | 16102.0 | − | 23440.9i | 0.618926 | − | 0.901018i | ||||
\(879\) | − | 6981.42i | − | 0.267892i | ||||||
\(880\) | −7169.34 | − | 7946.63i | −0.274635 | − | 0.304410i | ||||
\(881\) | 20614.3 | 0.788323 | 0.394161 | − | 0.919041i | \(-0.371035\pi\) | ||||
0.394161 | + | 0.919041i | \(0.371035\pi\) | |||||||
\(882\) | 1581.90 | − | 2302.89i | 0.0603915 | − | 0.0879165i | ||||
\(883\) | 36289.6i | 1.38306i | 0.722348 | + | 0.691529i | \(0.243063\pi\) | ||||
−0.722348 | + | 0.691529i | \(0.756937\pi\) | |||||||
\(884\) | 601.967 | − | 231.413i | 0.0229031 | − | 0.00880460i | ||||
\(885\) | 29281.3 | 1.11218 | ||||||||
\(886\) | −1724.63 | − | 1184.68i | −0.0653951 | − | 0.0449211i | ||||
\(887\) | 8327.83 | 0.315244 | 0.157622 | − | 0.987500i | \(-0.449617\pi\) | ||||
0.157622 | + | 0.987500i | \(0.449617\pi\) | |||||||
\(888\) | −2990.33 | + | 12496.2i | −0.113006 | + | 0.472236i | ||||
\(889\) | − | 5209.30i | − | 0.196529i | ||||||
\(890\) | −42298.0 | − | 29055.3i | −1.59307 | − | 1.09431i | ||||
\(891\) | − | 1179.21i | − | 0.0443379i | ||||||
\(892\) | 2428.95 | + | 6318.35i | 0.0911742 | + | 0.237168i | ||||
\(893\) | 1325.94 | − | 17090.6i | 0.0496873 | − | 0.640442i | ||||
\(894\) | 3786.11 | − | 5511.72i | 0.141640 | − | 0.206196i | ||||
\(895\) | −21929.6 | −0.819023 | ||||||||
\(896\) | −11486.2 | − | 21068.5i | −0.428268 | − | 0.785544i | ||||
\(897\) | 39248.3 | 1.46094 | ||||||||
\(898\) | −3555.02 | − | 2442.01i | −0.132108 | − | 0.0907472i | ||||
\(899\) | − | 6794.91i | − | 0.252084i | ||||||
\(900\) | 9099.48 | + | 23670.2i | 0.337018 | + | 0.876672i | ||||
\(901\) | 725.298i | 0.0268182i | ||||||||
\(902\) | −5573.36 | + | 8113.56i | −0.205735 | + | 0.299503i | ||||
\(903\) | −17624.2 | −0.649496 | ||||||||
\(904\) | 4750.22 | − | 19850.6i | 0.174768 | − | 0.730332i | ||||
\(905\) | − | 21456.5i | − | 0.788109i | ||||||
\(906\) | −1818.00 | + | 2646.60i | −0.0666655 | + | 0.0970500i | ||||
\(907\) | −23918.1 | −0.875619 | −0.437809 | − | 0.899068i | \(-0.644245\pi\) | ||||
−0.437809 | + | 0.899068i | \(0.644245\pi\) | |||||||
\(908\) | −14260.6 | − | 37095.5i | −0.521204 | − | 1.35579i | ||||
\(909\) | 19770.1 | 0.721377 | ||||||||
\(910\) | 29826.7 | − | 43421.0i | 1.08653 | − | 1.58175i | ||||
\(911\) | −3413.00 | −0.124125 | −0.0620624 | − | 0.998072i | \(-0.519768\pi\) | ||||
−0.0620624 | + | 0.998072i | \(0.519768\pi\) | |||||||
\(912\) | 14882.0 | − | 11469.0i | 0.540344 | − | 0.416422i | ||||
\(913\) | 12472.0 | 0.452097 | ||||||||
\(914\) | 18697.8 | − | 27219.8i | 0.676662 | − | 0.985067i | ||||
\(915\) | 16599.4 | 0.599735 | ||||||||
\(916\) | −730.104 | − | 1899.19i | −0.0263355 | − | 0.0685056i | ||||
\(917\) | 33296.8 | 1.19908 | ||||||||
\(918\) | −313.167 | + | 455.901i | −0.0112593 | + | 0.0163910i | ||||
\(919\) | 1739.29i | 0.0624308i | 0.999513 | + | 0.0312154i | \(0.00993779\pi\) | ||||
−0.999513 | + | 0.0312154i | \(0.990062\pi\) | |||||||
\(920\) | −17876.1 | + | 74701.9i | −0.640606 | + | 2.67701i | ||||
\(921\) | 19616.6 | 0.701835 | ||||||||
\(922\) | −10892.0 | + | 15856.4i | −0.389057 | + | 0.566379i | ||||
\(923\) | 21464.0i | 0.765434i | ||||||||
\(924\) | −1518.95 | − | 3951.19i | −0.0540798 | − | 0.140676i | ||||
\(925\) | − | 35178.8i | − | 1.25046i | ||||||
\(926\) | −29971.0 | − | 20587.7i | −1.06362 | − | 0.730618i | ||||
\(927\) | −22683.7 | −0.803700 | ||||||||
\(928\) | 10972.0 | − | 1458.22i | 0.388118 | − | 0.0515822i | ||||
\(929\) | 11322.2 | 0.399860 | 0.199930 | − | 0.979810i | \(-0.435929\pi\) | ||||
0.199930 | + | 0.979810i | \(0.435929\pi\) | |||||||
\(930\) | −11710.6 | + | 17048.1i | −0.412911 | + | 0.601106i | ||||
\(931\) | 5650.39 | + | 438.373i | 0.198909 | + | 0.0154319i | ||||
\(932\) | −6923.00 | − | 18008.6i | −0.243316 | − | 0.632929i | ||||
\(933\) | 8449.23i | 0.296479i | ||||||||
\(934\) | −11755.5 | − | 8075.07i | −0.411832 | − | 0.282895i | ||||
\(935\) | 222.650i | 0.00778764i | ||||||||
\(936\) | 4602.55 | − | 19233.5i | 0.160725 | − | 0.671651i | ||||
\(937\) | −11388.0 | −0.397045 | −0.198522 | − | 0.980096i | \(-0.563614\pi\) | ||||
−0.198522 | + | 0.980096i | \(0.563614\pi\) | |||||||
\(938\) | −20493.0 | − | 14077.1i | −0.713349 | − | 0.490013i | ||||
\(939\) | −32680.0 | −1.13575 | ||||||||
\(940\) | −28691.1 | + | 11029.7i | −0.995532 | + | 0.382711i | ||||
\(941\) | − | 12400.7i | − | 0.429596i | −0.976658 | − | 0.214798i | \(-0.931091\pi\) | ||
0.976658 | − | 0.214798i | \(-0.0689093\pi\) | |||||||
\(942\) | 14902.8 | − | 21695.2i | 0.515457 | − | 0.750390i | ||||
\(943\) | 70643.7 | 2.43953 | ||||||||
\(944\) | 21145.4 | − | 19077.1i | 0.729053 | − | 0.657741i | ||||
\(945\) | 45178.7i | 1.55520i | ||||||||
\(946\) | −4328.85 | + | 6301.83i | −0.148777 | + | 0.216586i | ||||
\(947\) | − | 772.531i | − | 0.0265089i | −0.999912 | − | 0.0132544i | \(-0.995781\pi\) | ||
0.999912 | − | 0.0132544i | \(-0.00421914\pi\) | |||||||
\(948\) | 270.850 | + | 704.552i | 0.00927931 | + | 0.0241379i | ||||
\(949\) | 20821.0i | 0.712202i | ||||||||
\(950\) | −32318.4 | + | 40020.9i | −1.10373 | + | 1.36679i | ||||
\(951\) | 24893.0i | 0.848801i | ||||||||
\(952\) | −116.177 | + | 485.487i | −0.00395515 | + | 0.0165281i | ||||
\(953\) | 23999.4i | 0.815756i | 0.913036 | + | 0.407878i | \(0.133731\pi\) | ||||
−0.913036 | + | 0.407878i | \(0.866269\pi\) | |||||||
\(954\) | 18332.8 | + | 12593.2i | 0.622167 | + | 0.427379i | ||||
\(955\) | 56973.1i | 1.93048i | ||||||||
\(956\) | −29588.7 | + | 11374.7i | −1.00101 | + | 0.384817i | ||||
\(957\) | 1952.57 | 0.0659535 | ||||||||
\(958\) | 20562.7 | + | 14124.9i | 0.693476 | + | 0.476362i | ||||
\(959\) | 5527.18i | 0.186113i | ||||||||
\(960\) | −30041.3 | − | 15251.0i | −1.00998 | − | 0.512735i | ||||
\(961\) | −17441.7 | −0.585470 | ||||||||
\(962\) | −15533.6 | + | 22613.4i | −0.520607 | + | 0.757886i | ||||
\(963\) | 30784.8 | 1.03014 | ||||||||
\(964\) | 11582.8 | − | 4452.77i | 0.386989 | − | 0.148770i | ||||
\(965\) | 18309.4i | 0.610779i | ||||||||
\(966\) | −17201.3 | + | 25041.2i | −0.572921 | + | 0.834044i | ||||
\(967\) | − | 22253.4i | − | 0.740043i | −0.929023 | − | 0.370021i | \(-0.879350\pi\) | ||
0.929023 | − | 0.370021i | \(-0.120650\pi\) | |||||||
\(968\) | 27504.2 | + | 6581.73i | 0.913243 | + | 0.218538i | ||||
\(969\) | −389.692 | − | 30.2334i | −0.0129192 | − | 0.00100231i | ||||
\(970\) | 51314.2 | + | 35248.7i | 1.69856 | + | 1.16677i | ||||
\(971\) | −53216.5 | −1.75881 | −0.879403 | − | 0.476079i | \(-0.842058\pi\) | ||||
−0.879403 | + | 0.476079i | \(0.842058\pi\) | |||||||
\(972\) | 10051.9 | + | 26147.6i | 0.331702 | + | 0.862844i | ||||
\(973\) | −9730.02 | −0.320586 | ||||||||
\(974\) | 27057.1 | − | 39389.0i | 0.890107 | − | 1.29580i | ||||
\(975\) | − | 47132.6i | − | 1.54815i | ||||||
\(976\) | 11987.2 | − | 10814.7i | 0.393136 | − | 0.354682i | ||||
\(977\) | − | 17416.5i | − | 0.570320i | −0.958480 | − | 0.285160i | \(-0.907953\pi\) | ||
0.958480 | − | 0.285160i | \(-0.0920467\pi\) | |||||||
\(978\) | 4433.96 | + | 3045.77i | 0.144972 | + | 0.0995838i | ||||
\(979\) | −8804.57 | −0.287431 | ||||||||
\(980\) | −3646.56 | − | 9485.68i | −0.118862 | − | 0.309193i | ||||
\(981\) | 4717.92i | 0.153549i | ||||||||
\(982\) | −11326.6 | − | 7780.44i | −0.368071 | − | 0.252835i | ||||
\(983\) | 23665.3 | 0.767859 | 0.383929 | − | 0.923362i | \(-0.374571\pi\) | ||||
0.383929 | + | 0.923362i | \(0.374571\pi\) | |||||||
\(984\) | −7211.26 | + | 30135.0i | −0.233625 | + | 0.976288i | ||||
\(985\) | −44516.2 | −1.44001 | ||||||||
\(986\) | −189.795 | − | 130.374i | −0.00613011 | − | 0.00421089i | ||||
\(987\) | −12157.4 | −0.392072 | ||||||||
\(988\) | 38446.3 | − | 11455.4i | 1.23800 | − | 0.368872i | ||||
\(989\) | 54869.2 | 1.76414 | ||||||||
\(990\) | 5627.77 | + | 3865.82i | 0.180669 | + | 0.124105i | ||||
\(991\) | 21696.9 | 0.695484 | 0.347742 | − | 0.937590i | \(-0.386949\pi\) | ||||
0.347742 | + | 0.937590i | \(0.386949\pi\) | |||||||
\(992\) | 2650.20 | + | 19940.8i | 0.0848226 | + | 0.638228i | ||||
\(993\) | −16742.1 | −0.535041 | ||||||||
\(994\) | −13694.4 | − | 9406.96i | −0.436982 | − | 0.300172i | ||||
\(995\) | − | 31197.4i | − | 0.993993i | ||||||
\(996\) | 36645.9 | − | 14087.7i | 1.16583 | − | 0.448179i | ||||
\(997\) | −1748.49 | −0.0555419 | −0.0277709 | − | 0.999614i | \(-0.508841\pi\) | ||||
−0.0277709 | + | 0.999614i | \(0.508841\pi\) | |||||||
\(998\) | 16960.8 | + | 11650.7i | 0.537960 | + | 0.369535i | ||||
\(999\) | − | 23528.8i | − | 0.745164i |
(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 | 76.4.d.a.75.10 | yes | 28 | |
4.3 | odd | 2 | inner | 76.4.d.a.75.20 | yes | 28 | |
19.18 | odd | 2 | inner | 76.4.d.a.75.19 | yes | 28 | |
76.75 | even | 2 | inner | 76.4.d.a.75.9 | ✓ | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
76.4.d.a.75.9 | ✓ | 28 | 76.75 | even | 2 | inner | |
76.4.d.a.75.10 | yes | 28 | 1.1 | even | 1 | trivial | |
76.4.d.a.75.19 | yes | 28 | 19.18 | odd | 2 | inner | |
76.4.d.a.75.20 | yes | 28 | 4.3 | odd | 2 | inner |