Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(31,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.m (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: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 601.2 | ||
Character | \(\chi\) | \(=\) | 690.601 |
Dual form | 690.2.m.h.31.2 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{8}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.142315 | + | 0.989821i | 0.100632 | + | 0.699909i | ||||
\(3\) | 0.415415 | − | 0.909632i | 0.239840 | − | 0.525176i | ||||
\(4\) | −0.959493 | + | 0.281733i | −0.479746 | + | 0.140866i | ||||
\(5\) | 0.654861 | − | 0.755750i | 0.292863 | − | 0.337981i | ||||
\(6\) | 0.959493 | + | 0.281733i | 0.391711 | + | 0.115017i | ||||
\(7\) | 0.208237 | − | 0.133826i | 0.0787063 | − | 0.0505815i | −0.500696 | − | 0.865623i | \(-0.666922\pi\) |
0.579402 | + | 0.815042i | \(0.303286\pi\) | |||||||
\(8\) | −0.415415 | − | 0.909632i | −0.146871 | − | 0.321603i | ||||
\(9\) | −0.654861 | − | 0.755750i | −0.218287 | − | 0.251917i | ||||
\(10\) | 0.841254 | + | 0.540641i | 0.266028 | + | 0.170966i | ||||
\(11\) | 0.108025 | − | 0.751334i | 0.0325709 | − | 0.226536i | −0.967034 | − | 0.254648i | \(-0.918040\pi\) |
0.999605 | + | 0.0281122i | \(0.00894956\pi\) | |||||||
\(12\) | −0.142315 | + | 0.989821i | −0.0410828 | + | 0.285737i | ||||
\(13\) | −2.45109 | − | 1.57522i | −0.679811 | − | 0.436888i | 0.154639 | − | 0.987971i | \(-0.450578\pi\) |
−0.834450 | + | 0.551083i | \(0.814215\pi\) | |||||||
\(14\) | 0.162099 | + | 0.187072i | 0.0433228 | + | 0.0499972i | ||||
\(15\) | −0.415415 | − | 0.909632i | −0.107260 | − | 0.234866i | ||||
\(16\) | 0.841254 | − | 0.540641i | 0.210313 | − | 0.135160i | ||||
\(17\) | 6.73175 | + | 1.97662i | 1.63269 | + | 0.479401i | 0.964388 | − | 0.264490i | \(-0.0852036\pi\) |
0.668301 | + | 0.743891i | \(0.267022\pi\) | |||||||
\(18\) | 0.654861 | − | 0.755750i | 0.154352 | − | 0.178132i | ||||
\(19\) | 7.70022 | − | 2.26099i | 1.76655 | − | 0.518706i | 0.773234 | − | 0.634121i | \(-0.218638\pi\) |
0.993317 | + | 0.115415i | \(0.0368198\pi\) | |||||||
\(20\) | −0.415415 | + | 0.909632i | −0.0928896 | + | 0.203400i | ||||
\(21\) | −0.0352275 | − | 0.245013i | −0.00768727 | − | 0.0534661i | ||||
\(22\) | 0.759060 | 0.161832 | ||||||||
\(23\) | 0.715117 | − | 4.74222i | 0.149112 | − | 0.988820i | ||||
\(24\) | −1.00000 | −0.204124 | ||||||||
\(25\) | −0.142315 | − | 0.989821i | −0.0284630 | − | 0.197964i | ||||
\(26\) | 1.21036 | − | 2.65032i | 0.237371 | − | 0.519771i | ||||
\(27\) | −0.959493 | + | 0.281733i | −0.184655 | + | 0.0542195i | ||||
\(28\) | −0.162099 | + | 0.187072i | −0.0306338 | + | 0.0353533i | ||||
\(29\) | −7.35741 | − | 2.16033i | −1.36624 | − | 0.401163i | −0.485279 | − | 0.874359i | \(-0.661282\pi\) |
−0.880957 | + | 0.473196i | \(0.843100\pi\) | |||||||
\(30\) | 0.841254 | − | 0.540641i | 0.153591 | − | 0.0987071i | ||||
\(31\) | −1.32117 | − | 2.89295i | −0.237289 | − | 0.519589i | 0.753099 | − | 0.657907i | \(-0.228558\pi\) |
−0.990388 | + | 0.138317i | \(0.955831\pi\) | |||||||
\(32\) | 0.654861 | + | 0.755750i | 0.115764 | + | 0.133599i | ||||
\(33\) | −0.638562 | − | 0.410379i | −0.111159 | − | 0.0714378i | ||||
\(34\) | −0.998473 | + | 6.94453i | −0.171237 | + | 1.19098i | ||||
\(35\) | 0.0352275 | − | 0.245013i | 0.00595453 | − | 0.0414147i | ||||
\(36\) | 0.841254 | + | 0.540641i | 0.140209 | + | 0.0901068i | ||||
\(37\) | −0.244627 | − | 0.282315i | −0.0402164 | − | 0.0464122i | 0.735285 | − | 0.677758i | \(-0.237048\pi\) |
−0.775501 | + | 0.631346i | \(0.782503\pi\) | |||||||
\(38\) | 3.33383 | + | 7.30007i | 0.540819 | + | 1.18423i | ||||
\(39\) | −2.45109 | + | 1.57522i | −0.392489 | + | 0.252237i | ||||
\(40\) | −0.959493 | − | 0.281733i | −0.151709 | − | 0.0445458i | ||||
\(41\) | 8.38273 | − | 9.67418i | 1.30916 | − | 1.51085i | 0.632500 | − | 0.774560i | \(-0.282029\pi\) |
0.676662 | − | 0.736293i | \(-0.263426\pi\) | |||||||
\(42\) | 0.237505 | − | 0.0697379i | 0.0366479 | − | 0.0107608i | ||||
\(43\) | −1.50964 | + | 3.30566i | −0.230218 | + | 0.504108i | −0.989122 | − | 0.147094i | \(-0.953008\pi\) |
0.758904 | + | 0.651202i | \(0.225735\pi\) | |||||||
\(44\) | 0.108025 | + | 0.751334i | 0.0162855 | + | 0.113268i | ||||
\(45\) | −1.00000 | −0.149071 | ||||||||
\(46\) | 4.79572 | + | 0.0329509i | 0.707090 | + | 0.00485834i | ||||
\(47\) | −3.48117 | −0.507781 | −0.253890 | − | 0.967233i | \(-0.581710\pi\) | ||||
−0.253890 | + | 0.967233i | \(0.581710\pi\) | |||||||
\(48\) | −0.142315 | − | 0.989821i | −0.0205414 | − | 0.142868i | ||||
\(49\) | −2.88245 | + | 6.31169i | −0.411779 | + | 0.901670i | ||||
\(50\) | 0.959493 | − | 0.281733i | 0.135693 | − | 0.0398430i | ||||
\(51\) | 4.59447 | − | 5.30230i | 0.643354 | − | 0.742470i | ||||
\(52\) | 2.79560 | + | 0.820862i | 0.387680 | + | 0.113833i | ||||
\(53\) | 8.29089 | − | 5.32823i | 1.13884 | − | 0.731889i | 0.171454 | − | 0.985192i | \(-0.445154\pi\) |
0.967387 | + | 0.253304i | \(0.0815172\pi\) | |||||||
\(54\) | −0.415415 | − | 0.909632i | −0.0565308 | − | 0.123785i | ||||
\(55\) | −0.497078 | − | 0.573659i | −0.0670260 | − | 0.0773522i | ||||
\(56\) | −0.208237 | − | 0.133826i | −0.0278269 | − | 0.0178832i | ||||
\(57\) | 1.14212 | − | 7.94361i | 0.151277 | − | 1.05216i | ||||
\(58\) | 1.09127 | − | 7.58997i | 0.143291 | − | 0.996611i | ||||
\(59\) | 11.5521 | + | 7.42412i | 1.50396 | + | 0.966537i | 0.994352 | + | 0.106132i | \(0.0338465\pi\) |
0.509610 | + | 0.860406i | \(0.329790\pi\) | |||||||
\(60\) | 0.654861 | + | 0.755750i | 0.0845422 | + | 0.0975669i | ||||
\(61\) | 1.29177 | + | 2.82859i | 0.165395 | + | 0.362164i | 0.974123 | − | 0.226018i | \(-0.0725710\pi\) |
−0.808728 | + | 0.588182i | \(0.799844\pi\) | |||||||
\(62\) | 2.67548 | − | 1.71943i | 0.339787 | − | 0.218368i | ||||
\(63\) | −0.237505 | − | 0.0697379i | −0.0299229 | − | 0.00878615i | ||||
\(64\) | −0.654861 | + | 0.755750i | −0.0818576 | + | 0.0944687i | ||||
\(65\) | −2.79560 | + | 0.820862i | −0.346751 | + | 0.101815i | ||||
\(66\) | 0.315325 | − | 0.690465i | 0.0388138 | − | 0.0849904i | ||||
\(67\) | 1.45071 | + | 10.0899i | 0.177232 | + | 1.23268i | 0.863131 | + | 0.504980i | \(0.168500\pi\) |
−0.685899 | + | 0.727697i | \(0.740591\pi\) | |||||||
\(68\) | −7.01595 | −0.850808 | ||||||||
\(69\) | −4.01660 | − | 2.62048i | −0.483542 | − | 0.315469i | ||||
\(70\) | 0.247532 | 0.0295858 | ||||||||
\(71\) | 0.519931 | + | 3.61620i | 0.0617044 | + | 0.429164i | 0.997134 | + | 0.0756515i | \(0.0241037\pi\) |
−0.935430 | + | 0.353512i | \(0.884987\pi\) | |||||||
\(72\) | −0.415415 | + | 0.909632i | −0.0489571 | + | 0.107201i | ||||
\(73\) | −14.9793 | + | 4.39831i | −1.75319 | + | 0.514783i | −0.991150 | − | 0.132745i | \(-0.957621\pi\) |
−0.762041 | + | 0.647529i | \(0.775803\pi\) | |||||||
\(74\) | 0.244627 | − | 0.282315i | 0.0284373 | − | 0.0328184i | ||||
\(75\) | −0.959493 | − | 0.281733i | −0.110793 | − | 0.0325317i | ||||
\(76\) | −6.75131 | + | 4.33880i | −0.774428 | + | 0.497695i | ||||
\(77\) | −0.0780530 | − | 0.170912i | −0.00889497 | − | 0.0194773i | ||||
\(78\) | −1.90802 | − | 2.20197i | −0.216040 | − | 0.249324i | ||||
\(79\) | −7.14726 | − | 4.59327i | −0.804130 | − | 0.516783i | 0.0728311 | − | 0.997344i | \(-0.476797\pi\) |
−0.876961 | + | 0.480561i | \(0.840433\pi\) | |||||||
\(80\) | 0.142315 | − | 0.989821i | 0.0159113 | − | 0.110665i | ||||
\(81\) | −0.142315 | + | 0.989821i | −0.0158128 | + | 0.109980i | ||||
\(82\) | 10.7687 | + | 6.92062i | 1.18920 | + | 0.764255i | ||||
\(83\) | 7.22752 | + | 8.34101i | 0.793324 | + | 0.915544i | 0.997995 | − | 0.0632862i | \(-0.0201581\pi\) |
−0.204672 | + | 0.978831i | \(0.565613\pi\) | |||||||
\(84\) | 0.102829 | + | 0.225163i | 0.0112195 | + | 0.0245673i | ||||
\(85\) | 5.90219 | − | 3.79311i | 0.640182 | − | 0.411420i | ||||
\(86\) | −3.48685 | − | 1.02383i | −0.375997 | − | 0.110403i | ||||
\(87\) | −5.02148 | + | 5.79510i | −0.538359 | + | 0.621300i | ||||
\(88\) | −0.728312 | + | 0.213852i | −0.0776384 | + | 0.0227967i | ||||
\(89\) | −1.09693 | + | 2.40194i | −0.116274 | + | 0.254605i | −0.958817 | − | 0.284024i | \(-0.908330\pi\) |
0.842543 | + | 0.538629i | \(0.181058\pi\) | |||||||
\(90\) | −0.142315 | − | 0.989821i | −0.0150013 | − | 0.104336i | ||||
\(91\) | −0.721215 | −0.0756038 | ||||||||
\(92\) | 0.649886 | + | 4.75159i | 0.0677553 | + | 0.495388i | ||||
\(93\) | −3.18035 | −0.329787 | ||||||||
\(94\) | −0.495422 | − | 3.44574i | −0.0510989 | − | 0.355401i | ||||
\(95\) | 3.33383 | − | 7.30007i | 0.342044 | − | 0.748971i | ||||
\(96\) | 0.959493 | − | 0.281733i | 0.0979278 | − | 0.0287542i | ||||
\(97\) | −7.63862 | + | 8.81543i | −0.775584 | + | 0.895072i | −0.996782 | − | 0.0801571i | \(-0.974458\pi\) |
0.221198 | + | 0.975229i | \(0.429003\pi\) | |||||||
\(98\) | −6.65766 | − | 1.95487i | −0.672525 | − | 0.197471i | ||||
\(99\) | −0.638562 | + | 0.410379i | −0.0641779 | + | 0.0412446i | ||||
\(100\) | 0.415415 | + | 0.909632i | 0.0415415 | + | 0.0909632i | ||||
\(101\) | −4.48662 | − | 5.17784i | −0.446436 | − | 0.515214i | 0.487272 | − | 0.873250i | \(-0.337992\pi\) |
−0.933708 | + | 0.358036i | \(0.883447\pi\) | |||||||
\(102\) | 5.90219 | + | 3.79311i | 0.584404 | + | 0.375574i | ||||
\(103\) | −0.722293 | + | 5.02366i | −0.0711696 | + | 0.494996i | 0.922795 | + | 0.385292i | \(0.125899\pi\) |
−0.993964 | + | 0.109704i | \(0.965010\pi\) | |||||||
\(104\) | −0.414651 | + | 2.88396i | −0.0406599 | + | 0.282796i | ||||
\(105\) | −0.208237 | − | 0.133826i | −0.0203219 | − | 0.0130601i | ||||
\(106\) | 6.45391 | + | 7.44821i | 0.626859 | + | 0.723434i | ||||
\(107\) | −7.89121 | − | 17.2793i | −0.762872 | − | 1.67046i | −0.741747 | − | 0.670680i | \(-0.766002\pi\) |
−0.0211256 | − | 0.999777i | \(-0.506725\pi\) | |||||||
\(108\) | 0.841254 | − | 0.540641i | 0.0809497 | − | 0.0520232i | ||||
\(109\) | −7.48610 | − | 2.19812i | −0.717039 | − | 0.210542i | −0.0971933 | − | 0.995266i | \(-0.530987\pi\) |
−0.619845 | + | 0.784724i | \(0.712805\pi\) | |||||||
\(110\) | 0.497078 | − | 0.573659i | 0.0473946 | − | 0.0546962i | ||||
\(111\) | −0.358424 | + | 0.105243i | −0.0340201 | + | 0.00998921i | ||||
\(112\) | 0.102829 | − | 0.225163i | 0.00971639 | − | 0.0212759i | ||||
\(113\) | −0.00792130 | − | 0.0550939i | −0.000745173 | − | 0.00518279i | 0.989445 | − | 0.144906i | \(-0.0462879\pi\) |
−0.990191 | + | 0.139723i | \(0.955379\pi\) | |||||||
\(114\) | 8.02530 | 0.751638 | ||||||||
\(115\) | −3.11563 | − | 3.64594i | −0.290534 | − | 0.339986i | ||||
\(116\) | 7.66802 | 0.711957 | ||||||||
\(117\) | 0.414651 | + | 2.88396i | 0.0383345 | + | 0.266623i | ||||
\(118\) | −5.70451 | + | 12.4911i | −0.525142 | + | 1.14990i | ||||
\(119\) | 1.66632 | − | 0.489277i | 0.152752 | − | 0.0448520i | ||||
\(120\) | −0.654861 | + | 0.755750i | −0.0597803 | + | 0.0689902i | ||||
\(121\) | 10.0016 | + | 2.93673i | 0.909235 | + | 0.266976i | ||||
\(122\) | −2.61596 | + | 1.68118i | −0.236838 | + | 0.152207i | ||||
\(123\) | −5.31764 | − | 11.6440i | −0.479475 | − | 1.04990i | ||||
\(124\) | 2.08269 | + | 2.40355i | 0.187031 | + | 0.215845i | ||||
\(125\) | −0.841254 | − | 0.540641i | −0.0752440 | − | 0.0483564i | ||||
\(126\) | 0.0352275 | − | 0.245013i | 0.00313831 | − | 0.0218275i | ||||
\(127\) | −2.94522 | + | 20.4845i | −0.261346 | + | 1.81770i | 0.261420 | + | 0.965225i | \(0.415809\pi\) |
−0.522766 | + | 0.852476i | \(0.675100\pi\) | |||||||
\(128\) | −0.841254 | − | 0.540641i | −0.0743570 | − | 0.0477863i | ||||
\(129\) | 2.37980 | + | 2.74644i | 0.209530 | + | 0.241810i | ||||
\(130\) | −1.21036 | − | 2.65032i | −0.106156 | − | 0.232449i | ||||
\(131\) | 0.952898 | − | 0.612390i | 0.0832551 | − | 0.0535048i | −0.498351 | − | 0.866975i | \(-0.666061\pi\) |
0.581606 | + | 0.813471i | \(0.302425\pi\) | |||||||
\(132\) | 0.728312 | + | 0.213852i | 0.0633915 | + | 0.0186134i | ||||
\(133\) | 1.30089 | − | 1.50131i | 0.112802 | − | 0.130180i | ||||
\(134\) | −9.78074 | + | 2.87188i | −0.844927 | + | 0.248093i | ||||
\(135\) | −0.415415 | + | 0.909632i | −0.0357532 | + | 0.0782887i | ||||
\(136\) | −0.998473 | − | 6.94453i | −0.0856184 | − | 0.595489i | ||||
\(137\) | −21.0104 | −1.79504 | −0.897519 | − | 0.440975i | \(-0.854633\pi\) | ||||
−0.897519 | + | 0.440975i | \(0.854633\pi\) | |||||||
\(138\) | 2.02219 | − | 4.34865i | 0.172140 | − | 0.370182i | ||||
\(139\) | 10.2677 | 0.870894 | 0.435447 | − | 0.900214i | \(-0.356590\pi\) | ||||
0.435447 | + | 0.900214i | \(0.356590\pi\) | |||||||
\(140\) | 0.0352275 | + | 0.245013i | 0.00297727 | + | 0.0207073i | ||||
\(141\) | −1.44613 | + | 3.16658i | −0.121786 | + | 0.266674i | ||||
\(142\) | −3.50540 | + | 1.02928i | −0.294166 | + | 0.0863751i | ||||
\(143\) | −1.44830 | + | 1.67142i | −0.121113 | + | 0.139772i | ||||
\(144\) | −0.959493 | − | 0.281733i | −0.0799577 | − | 0.0234777i | ||||
\(145\) | −6.45074 | + | 4.14564i | −0.535705 | + | 0.344277i | ||||
\(146\) | −6.48532 | − | 14.2009i | −0.536729 | − | 1.17527i | ||||
\(147\) | 4.54390 | + | 5.24394i | 0.374775 | + | 0.432513i | ||||
\(148\) | 0.314255 | + | 0.201959i | 0.0258316 | + | 0.0166010i | ||||
\(149\) | −0.397912 | + | 2.76754i | −0.0325982 | + | 0.226726i | −0.999607 | − | 0.0280156i | \(-0.991081\pi\) |
0.967009 | + | 0.254741i | \(0.0819903\pi\) | |||||||
\(150\) | 0.142315 | − | 0.989821i | 0.0116200 | − | 0.0808186i | ||||
\(151\) | 1.73508 | + | 1.11507i | 0.141199 | + | 0.0907428i | 0.609333 | − | 0.792915i | \(-0.291437\pi\) |
−0.468134 | + | 0.883657i | \(0.655074\pi\) | |||||||
\(152\) | −5.25545 | − | 6.06512i | −0.426274 | − | 0.491946i | ||||
\(153\) | −2.91453 | − | 6.38193i | −0.235626 | − | 0.515948i | ||||
\(154\) | 0.158065 | − | 0.101582i | 0.0127372 | − | 0.00818570i | ||||
\(155\) | −3.05153 | − | 0.896009i | −0.245105 | − | 0.0719692i | ||||
\(156\) | 1.90802 | − | 2.20197i | 0.152763 | − | 0.176298i | ||||
\(157\) | −17.5515 | + | 5.15359i | −1.40076 | + | 0.411301i | −0.892946 | − | 0.450164i | \(-0.851366\pi\) |
−0.507817 | + | 0.861465i | \(0.669547\pi\) | |||||||
\(158\) | 3.52935 | − | 7.72821i | 0.280780 | − | 0.614823i | ||||
\(159\) | −1.40257 | − | 9.75508i | −0.111231 | − | 0.773628i | ||||
\(160\) | 1.00000 | 0.0790569 | ||||||||
\(161\) | −0.485718 | − | 1.08321i | −0.0382799 | − | 0.0853687i | ||||
\(162\) | −1.00000 | −0.0785674 | ||||||||
\(163\) | 1.40661 | + | 9.78316i | 0.110174 | + | 0.766276i | 0.967749 | + | 0.251917i | \(0.0810611\pi\) |
−0.857575 | + | 0.514359i | \(0.828030\pi\) | |||||||
\(164\) | −5.31764 | + | 11.6440i | −0.415238 | + | 0.909244i | ||||
\(165\) | −0.728312 | + | 0.213852i | −0.0566990 | + | 0.0166483i | ||||
\(166\) | −7.22752 | + | 8.34101i | −0.560965 | + | 0.647388i | ||||
\(167\) | 17.4151 | + | 5.11355i | 1.34762 | + | 0.395698i | 0.874384 | − | 0.485235i | \(-0.161266\pi\) |
0.473241 | + | 0.880933i | \(0.343084\pi\) | |||||||
\(168\) | −0.208237 | + | 0.133826i | −0.0160659 | + | 0.0103249i | ||||
\(169\) | −1.87386 | − | 4.10318i | −0.144143 | − | 0.315630i | ||||
\(170\) | 4.59447 | + | 5.30230i | 0.352380 | + | 0.406668i | ||||
\(171\) | −6.75131 | − | 4.33880i | −0.516286 | − | 0.331797i | ||||
\(172\) | 0.517181 | − | 3.59707i | 0.0394347 | − | 0.274274i | ||||
\(173\) | −1.76194 | + | 12.2546i | −0.133958 | + | 0.931697i | 0.806366 | + | 0.591416i | \(0.201431\pi\) |
−0.940324 | + | 0.340280i | \(0.889478\pi\) | |||||||
\(174\) | −6.45074 | − | 4.14564i | −0.489030 | − | 0.314280i | ||||
\(175\) | −0.162099 | − | 0.187072i | −0.0122535 | − | 0.0141413i | ||||
\(176\) | −0.315325 | − | 0.690465i | −0.0237685 | − | 0.0520458i | ||||
\(177\) | 11.5521 | − | 7.42412i | 0.868313 | − | 0.558031i | ||||
\(178\) | −2.53360 | − | 0.743931i | −0.189901 | − | 0.0557600i | ||||
\(179\) | 1.92958 | − | 2.22685i | 0.144224 | − | 0.166443i | −0.679042 | − | 0.734100i | \(-0.737604\pi\) |
0.823265 | + | 0.567657i | \(0.192150\pi\) | |||||||
\(180\) | 0.959493 | − | 0.281733i | 0.0715164 | − | 0.0209991i | ||||
\(181\) | 8.75540 | − | 19.1716i | 0.650783 | − | 1.42502i | −0.240083 | − | 0.970752i | \(-0.577175\pi\) |
0.890867 | − | 0.454265i | \(-0.150098\pi\) | |||||||
\(182\) | −0.102640 | − | 0.713874i | −0.00760815 | − | 0.0529158i | ||||
\(183\) | 3.10960 | 0.229868 | ||||||||
\(184\) | −4.61074 | + | 1.31949i | −0.339908 | + | 0.0972744i | ||||
\(185\) | −0.373556 | −0.0274644 | ||||||||
\(186\) | −0.452612 | − | 3.14798i | −0.0331871 | − | 0.230821i | ||||
\(187\) | 2.21230 | − | 4.84427i | 0.161780 | − | 0.354248i | ||||
\(188\) | 3.34016 | − | 0.980759i | 0.243606 | − | 0.0715292i | ||||
\(189\) | −0.162099 | + | 0.187072i | −0.0117910 | + | 0.0136075i | ||||
\(190\) | 7.70022 | + | 2.26099i | 0.558632 | + | 0.164029i | ||||
\(191\) | 16.6713 | − | 10.7140i | 1.20629 | − | 0.775236i | 0.226257 | − | 0.974068i | \(-0.427351\pi\) |
0.980034 | + | 0.198832i | \(0.0637148\pi\) | |||||||
\(192\) | 0.415415 | + | 0.909632i | 0.0299800 | + | 0.0656470i | ||||
\(193\) | −9.62317 | − | 11.1057i | −0.692691 | − | 0.799408i | 0.295055 | − | 0.955480i | \(-0.404662\pi\) |
−0.987746 | + | 0.156073i | \(0.950117\pi\) | |||||||
\(194\) | −9.81279 | − | 6.30630i | −0.704518 | − | 0.452766i | ||||
\(195\) | −0.414651 | + | 2.88396i | −0.0296938 | + | 0.206525i | ||||
\(196\) | 0.987484 | − | 6.86810i | 0.0705346 | − | 0.490579i | ||||
\(197\) | −9.47647 | − | 6.09016i | −0.675170 | − | 0.433906i | 0.157616 | − | 0.987501i | \(-0.449619\pi\) |
−0.832786 | + | 0.553595i | \(0.813256\pi\) | |||||||
\(198\) | −0.497078 | − | 0.573659i | −0.0353258 | − | 0.0407682i | ||||
\(199\) | 5.64551 | + | 12.3619i | 0.400199 | + | 0.876314i | 0.997250 | + | 0.0741107i | \(0.0236118\pi\) |
−0.597051 | + | 0.802203i | \(0.703661\pi\) | |||||||
\(200\) | −0.841254 | + | 0.540641i | −0.0594856 | + | 0.0382291i | ||||
\(201\) | 9.78074 | + | 2.87188i | 0.689880 | + | 0.202567i | ||||
\(202\) | 4.48662 | − | 5.17784i | 0.315678 | − | 0.364312i | ||||
\(203\) | −1.82119 | + | 0.534751i | −0.127823 | + | 0.0375322i | ||||
\(204\) | −2.91453 | + | 6.38193i | −0.204058 | + | 0.446824i | ||||
\(205\) | −1.82174 | − | 12.6705i | −0.127236 | − | 0.884945i | ||||
\(206\) | −5.07532 | −0.353614 | ||||||||
\(207\) | −4.05223 | + | 2.56504i | −0.281649 | + | 0.178283i | ||||
\(208\) | −2.91362 | −0.202023 | ||||||||
\(209\) | −0.866937 | − | 6.02968i | −0.0599673 | − | 0.417081i | ||||
\(210\) | 0.102829 | − | 0.225163i | 0.00709585 | − | 0.0155377i | ||||
\(211\) | −11.3184 | + | 3.32337i | −0.779188 | + | 0.228790i | −0.647057 | − | 0.762442i | \(-0.724000\pi\) |
−0.132132 | + | 0.991232i | \(0.542182\pi\) | |||||||
\(212\) | −6.45391 | + | 7.44821i | −0.443256 | + | 0.511545i | ||||
\(213\) | 3.50540 | + | 1.02928i | 0.240186 | + | 0.0705249i | ||||
\(214\) | 15.9804 | − | 10.2700i | 1.09240 | − | 0.702043i | ||||
\(215\) | 1.50964 | + | 3.30566i | 0.102957 | + | 0.225444i | ||||
\(216\) | 0.654861 | + | 0.755750i | 0.0445576 | + | 0.0514222i | ||||
\(217\) | −0.662268 | − | 0.425614i | −0.0449577 | − | 0.0288926i | ||||
\(218\) | 1.11036 | − | 7.72273i | 0.0752031 | − | 0.523049i | ||||
\(219\) | −2.22177 | + | 15.4528i | −0.150133 | + | 1.04420i | ||||
\(220\) | 0.638562 | + | 0.410379i | 0.0430518 | + | 0.0276677i | ||||
\(221\) | −13.3865 | − | 15.4489i | −0.900476 | − | 1.03920i | ||||
\(222\) | −0.155181 | − | 0.339798i | −0.0104150 | − | 0.0228058i | ||||
\(223\) | 4.39442 | − | 2.82412i | 0.294272 | − | 0.189117i | −0.385171 | − | 0.922845i | \(-0.625858\pi\) |
0.679443 | + | 0.733728i | \(0.262221\pi\) | |||||||
\(224\) | 0.237505 | + | 0.0697379i | 0.0158690 | + | 0.00465956i | ||||
\(225\) | −0.654861 | + | 0.755750i | −0.0436574 | + | 0.0503833i | ||||
\(226\) | 0.0534058 | − | 0.0156813i | 0.00355250 | − | 0.00104311i | ||||
\(227\) | −3.97630 | + | 8.70687i | −0.263916 | + | 0.577896i | −0.994477 | − | 0.104952i | \(-0.966531\pi\) |
0.730561 | + | 0.682847i | \(0.239259\pi\) | |||||||
\(228\) | 1.14212 | + | 7.94361i | 0.0756387 | + | 0.526079i | ||||
\(229\) | 10.4808 | 0.692589 | 0.346295 | − | 0.938126i | \(-0.387440\pi\) | ||||
0.346295 | + | 0.938126i | \(0.387440\pi\) | |||||||
\(230\) | 3.16543 | − | 3.60278i | 0.208722 | − | 0.237561i | ||||
\(231\) | −0.187892 | −0.0123624 | ||||||||
\(232\) | 1.09127 | + | 7.58997i | 0.0716455 | + | 0.498306i | ||||
\(233\) | −10.3733 | + | 22.7144i | −0.679580 | + | 1.48807i | 0.183507 | + | 0.983018i | \(0.441255\pi\) |
−0.863087 | + | 0.505055i | \(0.831472\pi\) | |||||||
\(234\) | −2.79560 | + | 0.820862i | −0.182754 | + | 0.0536614i | ||||
\(235\) | −2.27968 | + | 2.63089i | −0.148710 | + | 0.171621i | ||||
\(236\) | −13.1758 | − | 3.86877i | −0.857673 | − | 0.251835i | ||||
\(237\) | −7.14726 | + | 4.59327i | −0.464265 | + | 0.298365i | ||||
\(238\) | 0.721440 | + | 1.57973i | 0.0467640 | + | 0.102399i | ||||
\(239\) | 4.57194 | + | 5.27629i | 0.295734 | + | 0.341295i | 0.884098 | − | 0.467301i | \(-0.154773\pi\) |
−0.588365 | + | 0.808596i | \(0.700228\pi\) | |||||||
\(240\) | −0.841254 | − | 0.540641i | −0.0543027 | − | 0.0348982i | ||||
\(241\) | 0.413617 | − | 2.87677i | 0.0266434 | − | 0.185309i | −0.972154 | − | 0.234345i | \(-0.924706\pi\) |
0.998797 | + | 0.0490354i | \(0.0156147\pi\) | |||||||
\(242\) | −1.48347 | + | 10.3177i | −0.0953608 | + | 0.663249i | ||||
\(243\) | 0.841254 | + | 0.540641i | 0.0539664 | + | 0.0346821i | ||||
\(244\) | −2.03635 | − | 2.35008i | −0.130364 | − | 0.150448i | ||||
\(245\) | 2.88245 | + | 6.31169i | 0.184153 | + | 0.403239i | ||||
\(246\) | 10.7687 | − | 6.92062i | 0.686587 | − | 0.441243i | ||||
\(247\) | −22.4355 | − | 6.58766i | −1.42754 | − | 0.419163i | ||||
\(248\) | −2.08269 | + | 2.40355i | −0.132251 | + | 0.152626i | ||||
\(249\) | 10.5897 | − | 3.10941i | 0.671093 | − | 0.197051i | ||||
\(250\) | 0.415415 | − | 0.909632i | 0.0262732 | − | 0.0575302i | ||||
\(251\) | −0.876307 | − | 6.09485i | −0.0553120 | − | 0.384703i | −0.998608 | − | 0.0527499i | \(-0.983201\pi\) |
0.943296 | − | 0.331953i | \(-0.107708\pi\) | |||||||
\(252\) | 0.247532 | 0.0155931 | ||||||||
\(253\) | −3.48573 | − | 1.04957i | −0.219146 | − | 0.0659860i | ||||
\(254\) | −20.6951 | −1.29853 | ||||||||
\(255\) | −0.998473 | − | 6.94453i | −0.0625268 | − | 0.434884i | ||||
\(256\) | 0.415415 | − | 0.909632i | 0.0259634 | − | 0.0568520i | ||||
\(257\) | −25.3782 | + | 7.45171i | −1.58305 | + | 0.464825i | −0.950765 | − | 0.309912i | \(-0.899700\pi\) |
−0.632283 | + | 0.774737i | \(0.717882\pi\) | |||||||
\(258\) | −2.37980 | + | 2.74644i | −0.148160 | + | 0.170986i | ||||
\(259\) | −0.0887215 | − | 0.0260510i | −0.00551288 | − | 0.00161873i | ||||
\(260\) | 2.45109 | − | 1.57522i | 0.152010 | − | 0.0976911i | ||||
\(261\) | 3.18541 | + | 6.97507i | 0.197172 | + | 0.431746i | ||||
\(262\) | 0.741769 | + | 0.856047i | 0.0458266 | + | 0.0528867i | ||||
\(263\) | 13.0195 | + | 8.36711i | 0.802815 | + | 0.515938i | 0.876533 | − | 0.481341i | \(-0.159850\pi\) |
−0.0737181 | + | 0.997279i | \(0.523487\pi\) | |||||||
\(264\) | −0.108025 | + | 0.751334i | −0.00664851 | + | 0.0462414i | ||||
\(265\) | 1.40257 | − | 9.75508i | 0.0861591 | − | 0.599250i | ||||
\(266\) | 1.67117 | + | 1.07399i | 0.102466 | + | 0.0658508i | ||||
\(267\) | 1.72920 | + | 1.99560i | 0.105825 | + | 0.122129i | ||||
\(268\) | −4.23460 | − | 9.27247i | −0.258669 | − | 0.566406i | ||||
\(269\) | 22.1137 | − | 14.2116i | 1.34830 | − | 0.866497i | 0.350747 | − | 0.936470i | \(-0.385928\pi\) |
0.997549 | + | 0.0699732i | \(0.0222914\pi\) | |||||||
\(270\) | −0.959493 | − | 0.281733i | −0.0583929 | − | 0.0171457i | ||||
\(271\) | −10.3517 | + | 11.9466i | −0.628824 | + | 0.725702i | −0.977357 | − | 0.211595i | \(-0.932134\pi\) |
0.348533 | + | 0.937296i | \(0.386680\pi\) | |||||||
\(272\) | 6.73175 | − | 1.97662i | 0.408172 | − | 0.119850i | ||||
\(273\) | −0.299603 | + | 0.656040i | −0.0181328 | + | 0.0397053i | ||||
\(274\) | −2.99009 | − | 20.7965i | −0.180638 | − | 1.25636i | ||||
\(275\) | −0.759060 | −0.0457730 | ||||||||
\(276\) | 4.59217 | + | 1.38273i | 0.276416 | + | 0.0832303i | ||||
\(277\) | 20.0951 | 1.20740 | 0.603699 | − | 0.797212i | \(-0.293693\pi\) | ||||
0.603699 | + | 0.797212i | \(0.293693\pi\) | |||||||
\(278\) | 1.46124 | + | 10.1632i | 0.0876396 | + | 0.609547i | ||||
\(279\) | −1.32117 | + | 2.89295i | −0.0790962 | + | 0.173196i | ||||
\(280\) | −0.237505 | + | 0.0697379i | −0.0141937 | + | 0.00416763i | ||||
\(281\) | −11.6516 | + | 13.4466i | −0.695075 | + | 0.802160i | −0.988078 | − | 0.153952i | \(-0.950800\pi\) |
0.293003 | + | 0.956111i | \(0.405345\pi\) | |||||||
\(282\) | −3.34016 | − | 0.980759i | −0.198904 | − | 0.0584033i | ||||
\(283\) | 7.90611 | − | 5.08095i | 0.469969 | − | 0.302031i | −0.284137 | − | 0.958784i | \(-0.591707\pi\) |
0.754106 | + | 0.656753i | \(0.228071\pi\) | |||||||
\(284\) | −1.51767 | − | 3.32324i | −0.0900572 | − | 0.197198i | ||||
\(285\) | −5.25545 | − | 6.06512i | −0.311306 | − | 0.359266i | ||||
\(286\) | −1.86053 | − | 1.19569i | −0.110015 | − | 0.0707025i | ||||
\(287\) | 0.450939 | − | 3.13635i | 0.0266181 | − | 0.185133i | ||||
\(288\) | 0.142315 | − | 0.989821i | 0.00838598 | − | 0.0583258i | ||||
\(289\) | 27.1081 | + | 17.4213i | 1.59460 | + | 1.02478i | ||||
\(290\) | −5.02148 | − | 5.79510i | −0.294872 | − | 0.340300i | ||||
\(291\) | 4.84561 | + | 10.6104i | 0.284054 | + | 0.621992i | ||||
\(292\) | 13.1334 | − | 8.44030i | 0.768572 | − | 0.493931i | ||||
\(293\) | 25.1073 | + | 7.37216i | 1.46678 | + | 0.430686i | 0.915052 | − | 0.403336i | \(-0.132149\pi\) |
0.551731 | + | 0.834022i | \(0.313967\pi\) | |||||||
\(294\) | −4.54390 | + | 5.24394i | −0.265006 | + | 0.305833i | ||||
\(295\) | 13.1758 | − | 3.86877i | 0.767126 | − | 0.225248i | ||||
\(296\) | −0.155181 | + | 0.339798i | −0.00901969 | + | 0.0197504i | ||||
\(297\) | 0.108025 | + | 0.751334i | 0.00626827 | + | 0.0435968i | ||||
\(298\) | −2.79600 | −0.161968 | ||||||||
\(299\) | −9.22286 | + | 10.4971i | −0.533372 | + | 0.607065i | ||||
\(300\) | 1.00000 | 0.0577350 | ||||||||
\(301\) | 0.128019 | + | 0.890391i | 0.00737888 | + | 0.0513213i | ||||
\(302\) | −0.856789 | + | 1.87611i | −0.0493027 | + | 0.107958i | ||||
\(303\) | −6.57374 | + | 1.93022i | −0.377651 | + | 0.110888i | ||||
\(304\) | 5.25545 | − | 6.06512i | 0.301421 | − | 0.347858i | ||||
\(305\) | 2.98364 | + | 0.876075i | 0.170843 | + | 0.0501639i | ||||
\(306\) | 5.90219 | − | 3.79311i | 0.337406 | − | 0.216837i | ||||
\(307\) | 4.49329 | + | 9.83892i | 0.256445 | + | 0.561537i | 0.993439 | − | 0.114363i | \(-0.0364825\pi\) |
−0.736994 | + | 0.675900i | \(0.763755\pi\) | |||||||
\(308\) | 0.123043 | + | 0.141999i | 0.00701102 | + | 0.00809115i | ||||
\(309\) | 4.26963 | + | 2.74392i | 0.242891 | + | 0.156096i | ||||
\(310\) | 0.452612 | − | 3.14798i | 0.0257066 | − | 0.178793i | ||||
\(311\) | 3.60527 | − | 25.0752i | 0.204436 | − | 1.42189i | −0.586481 | − | 0.809963i | \(-0.699487\pi\) |
0.790918 | − | 0.611923i | \(-0.209604\pi\) | |||||||
\(312\) | 2.45109 | + | 1.57522i | 0.138766 | + | 0.0891794i | ||||
\(313\) | 0.816373 | + | 0.942145i | 0.0461441 | + | 0.0532532i | 0.778352 | − | 0.627828i | \(-0.216056\pi\) |
−0.732208 | + | 0.681081i | \(0.761510\pi\) | |||||||
\(314\) | −7.59897 | − | 16.6394i | −0.428835 | − | 0.939017i | ||||
\(315\) | −0.208237 | + | 0.133826i | −0.0117328 | + | 0.00754024i | ||||
\(316\) | 8.15182 | + | 2.39359i | 0.458576 | + | 0.134650i | ||||
\(317\) | 4.45714 | − | 5.14381i | 0.250338 | − | 0.288905i | −0.616647 | − | 0.787240i | \(-0.711509\pi\) |
0.866985 | + | 0.498334i | \(0.166055\pi\) | |||||||
\(318\) | 9.45618 | − | 2.77659i | 0.530276 | − | 0.155703i | ||||
\(319\) | −2.41792 | + | 5.29450i | −0.135377 | + | 0.296435i | ||||
\(320\) | 0.142315 | + | 0.989821i | 0.00795564 | + | 0.0553327i | ||||
\(321\) | −18.9960 | −1.06025 | ||||||||
\(322\) | 1.00306 | − | 0.634930i | 0.0558982 | − | 0.0353833i | ||||
\(323\) | 56.3051 | 3.13290 | ||||||||
\(324\) | −0.142315 | − | 0.989821i | −0.00790638 | − | 0.0549901i | ||||
\(325\) | −1.21036 | + | 2.65032i | −0.0671388 | + | 0.147013i | ||||
\(326\) | −9.48340 | + | 2.78458i | −0.525237 | + | 0.154224i | ||||
\(327\) | −5.10932 | + | 5.89647i | −0.282546 | + | 0.326075i | ||||
\(328\) | −12.2823 | − | 3.60640i | −0.678174 | − | 0.199130i | ||||
\(329\) | −0.724909 | + | 0.465871i | −0.0399656 | + | 0.0256843i | ||||
\(330\) | −0.315325 | − | 0.690465i | −0.0173581 | − | 0.0380088i | ||||
\(331\) | 10.4877 | + | 12.1034i | 0.576454 | + | 0.665263i | 0.966839 | − | 0.255388i | \(-0.0822034\pi\) |
−0.390384 | + | 0.920652i | \(0.627658\pi\) | |||||||
\(332\) | −9.28469 | − | 5.96691i | −0.509564 | − | 0.327477i | ||||
\(333\) | −0.0531625 | + | 0.369753i | −0.00291329 | + | 0.0202624i | ||||
\(334\) | −2.58307 | + | 17.9656i | −0.141339 | + | 0.983035i | ||||
\(335\) | 8.57544 | + | 5.51110i | 0.468527 | + | 0.301104i | ||||
\(336\) | −0.162099 | − | 0.187072i | −0.00884323 | − | 0.0102056i | ||||
\(337\) | −3.26141 | − | 7.14148i | −0.177660 | − | 0.389021i | 0.799762 | − | 0.600317i | \(-0.204959\pi\) |
−0.977422 | + | 0.211296i | \(0.932232\pi\) | |||||||
\(338\) | 3.79474 | − | 2.43873i | 0.206407 | − | 0.132650i | ||||
\(339\) | −0.0534058 | − | 0.0156813i | −0.00290060 | − | 0.000851694i | ||||
\(340\) | −4.59447 | + | 5.30230i | −0.249170 | + | 0.287558i | ||||
\(341\) | −2.31629 | + | 0.680124i | −0.125434 | + | 0.0368308i | ||||
\(342\) | 3.33383 | − | 7.30007i | 0.180273 | − | 0.394742i | ||||
\(343\) | 0.491026 | + | 3.41516i | 0.0265129 | + | 0.184402i | ||||
\(344\) | 3.63406 | 0.195935 | ||||||||
\(345\) | −4.61074 | + | 1.31949i | −0.248234 | + | 0.0710392i | ||||
\(346\) | −12.3806 | −0.665584 | ||||||||
\(347\) | 1.61998 | + | 11.2672i | 0.0869653 | + | 0.604857i | 0.985971 | + | 0.166919i | \(0.0533819\pi\) |
−0.899005 | + | 0.437938i | \(0.855709\pi\) | |||||||
\(348\) | 3.18541 | − | 6.97507i | 0.170756 | − | 0.373903i | ||||
\(349\) | 8.31575 | − | 2.44172i | 0.445132 | − | 0.130702i | −0.0514823 | − | 0.998674i | \(-0.516395\pi\) |
0.496614 | + | 0.867971i | \(0.334576\pi\) | |||||||
\(350\) | 0.162099 | − | 0.187072i | 0.00866456 | − | 0.00999944i | ||||
\(351\) | 2.79560 | + | 0.820862i | 0.149218 | + | 0.0438144i | ||||
\(352\) | 0.638562 | − | 0.410379i | 0.0340355 | − | 0.0218733i | ||||
\(353\) | −8.62438 | − | 18.8848i | −0.459029 | − | 1.00513i | −0.987708 | − | 0.156312i | \(-0.950040\pi\) |
0.528678 | − | 0.848822i | \(-0.322688\pi\) | |||||||
\(354\) | 8.99259 | + | 10.3780i | 0.477951 | + | 0.551585i | ||||
\(355\) | 3.07342 | + | 1.97517i | 0.163120 | + | 0.104831i | ||||
\(356\) | 0.375791 | − | 2.61368i | 0.0199169 | − | 0.138525i | ||||
\(357\) | 0.247154 | − | 1.71900i | 0.0130808 | − | 0.0909789i | ||||
\(358\) | 2.47879 | + | 1.59302i | 0.131008 | + | 0.0841940i | ||||
\(359\) | 6.37551 | + | 7.35773i | 0.336487 | + | 0.388326i | 0.898625 | − | 0.438717i | \(-0.144567\pi\) |
−0.562139 | + | 0.827043i | \(0.690021\pi\) | |||||||
\(360\) | 0.415415 | + | 0.909632i | 0.0218943 | + | 0.0479418i | ||||
\(361\) | 38.1975 | − | 24.5480i | 2.01039 | − | 1.29200i | ||||
\(362\) | 20.2225 | + | 5.93787i | 1.06287 | + | 0.312087i | ||||
\(363\) | 6.82616 | − | 7.87780i | 0.358280 | − | 0.413477i | ||||
\(364\) | 0.692000 | − | 0.203190i | 0.0362707 | − | 0.0106500i | ||||
\(365\) | −6.48532 | + | 14.2009i | −0.339457 | + | 0.743307i | ||||
\(366\) | 0.442542 | + | 3.07795i | 0.0231320 | + | 0.160887i | ||||
\(367\) | −20.5556 | −1.07299 | −0.536497 | − | 0.843902i | \(-0.680253\pi\) | ||||
−0.536497 | + | 0.843902i | \(0.680253\pi\) | |||||||
\(368\) | −1.96224 | − | 4.37603i | −0.102289 | − | 0.228116i | ||||
\(369\) | −12.8008 | −0.666382 | ||||||||
\(370\) | −0.0531625 | − | 0.369753i | −0.00276379 | − | 0.0192226i | ||||
\(371\) | 1.01342 | − | 2.21907i | 0.0526139 | − | 0.115208i | ||||
\(372\) | 3.05153 | − | 0.896009i | 0.158214 | − | 0.0464559i | ||||
\(373\) | 5.68881 | − | 6.56524i | 0.294555 | − | 0.339935i | −0.589111 | − | 0.808052i | \(-0.700522\pi\) |
0.883667 | + | 0.468117i | \(0.155067\pi\) | |||||||
\(374\) | 5.10980 | + | 1.50037i | 0.264222 | + | 0.0775824i | ||||
\(375\) | −0.841254 | + | 0.540641i | −0.0434421 | + | 0.0279186i | ||||
\(376\) | 1.44613 | + | 3.16658i | 0.0745785 | + | 0.163304i | ||||
\(377\) | 14.6307 | + | 16.8847i | 0.753519 | + | 0.869607i | ||||
\(378\) | −0.208237 | − | 0.133826i | −0.0107106 | − | 0.00688327i | ||||
\(379\) | 2.59439 | − | 18.0444i | 0.133265 | − | 0.926879i | −0.807993 | − | 0.589192i | \(-0.799446\pi\) |
0.941258 | − | 0.337687i | \(-0.109645\pi\) | |||||||
\(380\) | −1.14212 | + | 7.94361i | −0.0585895 | + | 0.407499i | ||||
\(381\) | 17.4098 | + | 11.1886i | 0.891932 | + | 0.573210i | ||||
\(382\) | 12.9775 | + | 14.9768i | 0.663986 | + | 0.766281i | ||||
\(383\) | 13.2788 | + | 29.0765i | 0.678515 | + | 1.48574i | 0.864209 | + | 0.503134i | \(0.167820\pi\) |
−0.185693 | + | 0.982608i | \(0.559453\pi\) | |||||||
\(384\) | −0.841254 | + | 0.540641i | −0.0429300 | + | 0.0275895i | ||||
\(385\) | −0.180281 | − | 0.0529352i | −0.00918796 | − | 0.00269783i | ||||
\(386\) | 9.62317 | − | 11.1057i | 0.489806 | − | 0.565267i | ||||
\(387\) | 3.48685 | − | 1.02383i | 0.177247 | − | 0.0520444i | ||||
\(388\) | 4.84561 | − | 10.6104i | 0.245998 | − | 0.538661i | ||||
\(389\) | 3.11004 | + | 21.6308i | 0.157685 | + | 1.09672i | 0.902885 | + | 0.429883i | \(0.141445\pi\) |
−0.745200 | + | 0.666842i | \(0.767646\pi\) | |||||||
\(390\) | −2.91362 | −0.147537 | ||||||||
\(391\) | 14.1876 | − | 30.5099i | 0.717495 | − | 1.54295i | ||||
\(392\) | 6.93873 | 0.350459 | ||||||||
\(393\) | −0.161202 | − | 1.12118i | −0.00813155 | − | 0.0565562i | ||||
\(394\) | 4.67953 | − | 10.2467i | 0.235751 | − | 0.516223i | ||||
\(395\) | −8.15182 | + | 2.39359i | −0.410163 | + | 0.120435i | ||||
\(396\) | 0.497078 | − | 0.573659i | 0.0249791 | − | 0.0288275i | ||||
\(397\) | −31.7195 | − | 9.31368i | −1.59195 | − | 0.467440i | −0.638662 | − | 0.769488i | \(-0.720512\pi\) |
−0.953293 | + | 0.302048i | \(0.902330\pi\) | |||||||
\(398\) | −11.4327 | + | 7.34733i | −0.573068 | + | 0.368288i | ||||
\(399\) | −0.825230 | − | 1.80700i | −0.0413132 | − | 0.0904632i | ||||
\(400\) | −0.654861 | − | 0.755750i | −0.0327430 | − | 0.0377875i | ||||
\(401\) | 0.766423 | + | 0.492550i | 0.0382733 | + | 0.0245968i | 0.559638 | − | 0.828737i | \(-0.310940\pi\) |
−0.521364 | + | 0.853334i | \(0.674577\pi\) | |||||||
\(402\) | −1.45071 | + | 10.0899i | −0.0723547 | + | 0.503238i | ||||
\(403\) | −1.31874 | + | 9.17202i | −0.0656910 | + | 0.456891i | ||||
\(404\) | 5.76365 | + | 3.70407i | 0.286752 | + | 0.184285i | ||||
\(405\) | 0.654861 | + | 0.755750i | 0.0325403 | + | 0.0375535i | ||||
\(406\) | −0.788491 | − | 1.72655i | −0.0391322 | − | 0.0856875i | ||||
\(407\) | −0.238538 | + | 0.153299i | −0.0118239 | + | 0.00759876i | ||||
\(408\) | −6.73175 | − | 1.97662i | −0.333271 | − | 0.0978573i | ||||
\(409\) | −5.07957 | + | 5.86214i | −0.251169 | + | 0.289864i | −0.867307 | − | 0.497774i | \(-0.834151\pi\) |
0.616138 | + | 0.787638i | \(0.288696\pi\) | |||||||
\(410\) | 12.2823 | − | 3.60640i | 0.606578 | − | 0.178107i | ||||
\(411\) | −8.72803 | + | 19.1117i | −0.430522 | + | 0.942712i | ||||
\(412\) | −0.722293 | − | 5.02366i | −0.0355848 | − | 0.247498i | ||||
\(413\) | 3.39913 | 0.167260 | ||||||||
\(414\) | −3.11563 | − | 3.64594i | −0.153125 | − | 0.179188i | ||||
\(415\) | 11.0367 | 0.541772 | ||||||||
\(416\) | −0.414651 | − | 2.88396i | −0.0203300 | − | 0.141398i | ||||
\(417\) | 4.26535 | − | 9.33981i | 0.208875 | − | 0.457373i | ||||
\(418\) | 5.84492 | − | 1.71622i | 0.285885 | − | 0.0839433i | ||||
\(419\) | −9.41388 | + | 10.8642i | −0.459898 | + | 0.530751i | −0.937574 | − | 0.347785i | \(-0.886934\pi\) |
0.477676 | + | 0.878536i | \(0.341479\pi\) | |||||||
\(420\) | 0.237505 | + | 0.0697379i | 0.0115891 | + | 0.00340286i | ||||
\(421\) | −5.71150 | + | 3.67056i | −0.278361 | + | 0.178892i | −0.672371 | − | 0.740214i | \(-0.734724\pi\) |
0.394010 | + | 0.919106i | \(0.371088\pi\) | |||||||
\(422\) | −4.90032 | − | 10.7302i | −0.238544 | − | 0.522338i | ||||
\(423\) | 2.27968 | + | 2.63089i | 0.110842 | + | 0.127918i | ||||
\(424\) | −8.29089 | − | 5.32823i | −0.402641 | − | 0.258762i | ||||
\(425\) | 0.998473 | − | 6.94453i | 0.0484331 | − | 0.336859i | ||||
\(426\) | −0.519931 | + | 3.61620i | −0.0251907 | + | 0.175205i | ||||
\(427\) | 0.647534 | + | 0.416145i | 0.0313364 | + | 0.0201387i | ||||
\(428\) | 12.4397 | + | 14.3562i | 0.601296 | + | 0.693933i | ||||
\(429\) | 0.918737 | + | 2.01175i | 0.0443570 | + | 0.0971283i | ||||
\(430\) | −3.05717 | + | 1.96472i | −0.147430 | + | 0.0947473i | ||||
\(431\) | −25.7963 | − | 7.57447i | −1.24256 | − | 0.364849i | −0.406585 | − | 0.913613i | \(-0.633281\pi\) |
−0.835978 | + | 0.548763i | \(0.815099\pi\) | |||||||
\(432\) | −0.654861 | + | 0.755750i | −0.0315070 | + | 0.0363610i | ||||
\(433\) | 12.1982 | − | 3.58171i | 0.586208 | − | 0.172126i | 0.0248384 | − | 0.999691i | \(-0.492093\pi\) |
0.561369 | + | 0.827565i | \(0.310275\pi\) | |||||||
\(434\) | 0.327031 | − | 0.716098i | 0.0156980 | − | 0.0343738i | ||||
\(435\) | 1.09127 | + | 7.58997i | 0.0523225 | + | 0.363911i | ||||
\(436\) | 7.80215 | 0.373655 | ||||||||
\(437\) | −5.21553 | − | 38.1330i | −0.249493 | − | 1.82415i | ||||
\(438\) | −15.6117 | −0.745954 | ||||||||
\(439\) | 0.489611 | + | 3.40532i | 0.0233679 | + | 0.162527i | 0.998164 | − | 0.0605709i | \(-0.0192921\pi\) |
−0.974796 | + | 0.223098i | \(0.928383\pi\) | |||||||
\(440\) | −0.315325 | + | 0.690465i | −0.0150325 | + | 0.0329166i | ||||
\(441\) | 6.65766 | − | 1.95487i | 0.317031 | − | 0.0930888i | ||||
\(442\) | 13.3865 | − | 15.4489i | 0.636732 | − | 0.734828i | ||||
\(443\) | 23.7826 | + | 6.98320i | 1.12994 | + | 0.331782i | 0.792686 | − | 0.609630i | \(-0.208682\pi\) |
0.337259 | + | 0.941412i | \(0.390500\pi\) | |||||||
\(444\) | 0.314255 | − | 0.201959i | 0.0149139 | − | 0.00958457i | ||||
\(445\) | 1.09693 | + | 2.40194i | 0.0519994 | + | 0.113863i | ||||
\(446\) | 3.42076 | + | 3.94777i | 0.161978 | + | 0.186932i | ||||
\(447\) | 2.35214 | + | 1.51163i | 0.111253 | + | 0.0714977i | ||||
\(448\) | −0.0352275 | + | 0.245013i | −0.00166434 | + | 0.0115758i | ||||
\(449\) | 3.99444 | − | 27.7820i | 0.188509 | − | 1.31111i | −0.647360 | − | 0.762184i | \(-0.724127\pi\) |
0.835870 | − | 0.548928i | \(-0.184964\pi\) | |||||||
\(450\) | −0.841254 | − | 0.540641i | −0.0396571 | − | 0.0254861i | ||||
\(451\) | −6.36299 | − | 7.34328i | −0.299622 | − | 0.345782i | ||||
\(452\) | 0.0231222 | + | 0.0506305i | 0.00108758 | + | 0.00238146i | ||||
\(453\) | 1.73508 | − | 1.11507i | 0.0815210 | − | 0.0523904i | ||||
\(454\) | −9.18414 | − | 2.69671i | −0.431033 | − | 0.126563i | ||||
\(455\) | −0.472295 | + | 0.545058i | −0.0221415 | + | 0.0255527i | ||||
\(456\) | −7.70022 | + | 2.26099i | −0.360596 | + | 0.105880i | ||||
\(457\) | 0.128363 | − | 0.281076i | 0.00600456 | − | 0.0131482i | −0.906606 | − | 0.421978i | \(-0.861336\pi\) |
0.912611 | + | 0.408830i | \(0.134063\pi\) | |||||||
\(458\) | 1.49157 | + | 10.3741i | 0.0696965 | + | 0.484750i | ||||
\(459\) | −7.01595 | −0.327476 | ||||||||
\(460\) | 4.01660 | + | 2.62048i | 0.187275 | + | 0.122181i | ||||
\(461\) | −20.4790 | −0.953802 | −0.476901 | − | 0.878957i | \(-0.658240\pi\) | ||||
−0.476901 | + | 0.878957i | \(0.658240\pi\) | |||||||
\(462\) | −0.0267398 | − | 0.185979i | −0.00124405 | − | 0.00865254i | ||||
\(463\) | 0.611236 | − | 1.33842i | 0.0284065 | − | 0.0622017i | −0.894897 | − | 0.446273i | \(-0.852751\pi\) |
0.923303 | + | 0.384071i | \(0.125478\pi\) | |||||||
\(464\) | −7.35741 | + | 2.16033i | −0.341559 | + | 0.100291i | ||||
\(465\) | −2.08269 | + | 2.40355i | −0.0965824 | + | 0.111462i | ||||
\(466\) | −23.9595 | − | 7.03515i | −1.10990 | − | 0.325897i | ||||
\(467\) | 15.8045 | − | 10.1569i | 0.731343 | − | 0.470006i | −0.121223 | − | 0.992625i | \(-0.538682\pi\) |
0.852566 | + | 0.522620i | \(0.175045\pi\) | |||||||
\(468\) | −1.21036 | − | 2.65032i | −0.0559490 | − | 0.122511i | ||||
\(469\) | 1.65238 | + | 1.90695i | 0.0762999 | + | 0.0880548i | ||||
\(470\) | −2.92855 | − | 1.88206i | −0.135084 | − | 0.0868131i | ||||
\(471\) | −2.60329 | + | 18.1063i | −0.119953 | + | 0.834294i | ||||
\(472\) | 1.95428 | − | 13.5923i | 0.0899529 | − | 0.625636i | ||||
\(473\) | 2.32057 | + | 1.49134i | 0.106700 | + | 0.0685719i | ||||
\(474\) | −5.56368 | − | 6.42083i | −0.255548 | − | 0.294918i | ||||
\(475\) | −3.33383 | − | 7.30007i | −0.152967 | − | 0.334950i | ||||
\(476\) | −1.46098 | + | 0.938916i | −0.0669640 | + | 0.0430351i | ||||
\(477\) | −9.45618 | − | 2.77659i | −0.432969 | − | 0.127131i | ||||
\(478\) | −4.57194 | + | 5.27629i | −0.209115 | + | 0.241332i | ||||
\(479\) | −15.6248 | + | 4.58785i | −0.713914 | + | 0.209624i | −0.618467 | − | 0.785811i | \(-0.712246\pi\) |
−0.0954465 | + | 0.995435i | \(0.530428\pi\) | |||||||
\(480\) | 0.415415 | − | 0.909632i | 0.0189610 | − | 0.0415188i | ||||
\(481\) | 0.154895 | + | 1.07732i | 0.00706262 | + | 0.0491216i | ||||
\(482\) | 2.90635 | 0.132381 | ||||||||
\(483\) | −1.18709 | − | 0.00815640i | −0.0540147 | − | 0.000371129i | ||||
\(484\) | −10.4238 | −0.473810 | ||||||||
\(485\) | 1.66003 | + | 11.5458i | 0.0753781 | + | 0.524266i | ||||
\(486\) | −0.415415 | + | 0.909632i | −0.0188436 | + | 0.0412617i | ||||
\(487\) | 16.4854 | − | 4.84054i | 0.747024 | − | 0.219346i | 0.114003 | − | 0.993480i | \(-0.463633\pi\) |
0.633021 | + | 0.774134i | \(0.281815\pi\) | |||||||
\(488\) | 2.03635 | − | 2.35008i | 0.0921814 | − | 0.106383i | ||||
\(489\) | 9.48340 | + | 2.78458i | 0.428854 | + | 0.125923i | ||||
\(490\) | −5.83723 | + | 3.75136i | −0.263699 | + | 0.169469i | ||||
\(491\) | 5.64101 | + | 12.3521i | 0.254575 | + | 0.557442i | 0.993166 | − | 0.116712i | \(-0.0372355\pi\) |
−0.738591 | + | 0.674154i | \(0.764508\pi\) | |||||||
\(492\) | 8.38273 | + | 9.67418i | 0.377923 | + | 0.436146i | ||||
\(493\) | −45.2581 | − | 29.0856i | −2.03832 | − | 1.30995i | ||||
\(494\) | 3.32770 | − | 23.1447i | 0.149720 | − | 1.04133i | ||||
\(495\) | −0.108025 | + | 0.751334i | −0.00485538 | + | 0.0337699i | ||||
\(496\) | −2.67548 | − | 1.71943i | −0.120133 | − | 0.0772046i | ||||
\(497\) | 0.592210 | + | 0.683447i | 0.0265643 | + | 0.0306568i | ||||
\(498\) | 4.58483 | + | 10.0394i | 0.205451 | + | 0.449875i | ||||
\(499\) | 5.08949 | − | 3.27081i | 0.227837 | − | 0.146422i | −0.421743 | − | 0.906716i | \(-0.638581\pi\) |
0.649579 | + | 0.760294i | \(0.274945\pi\) | |||||||
\(500\) | 0.959493 | + | 0.281733i | 0.0429098 | + | 0.0125995i | ||||
\(501\) | 11.8860 | − | 13.7171i | 0.531026 | − | 0.612836i | ||||
\(502\) | 5.90810 | − | 1.73477i | 0.263691 | − | 0.0774268i | ||||
\(503\) | 1.03572 | − | 2.26791i | 0.0461804 | − | 0.101121i | −0.885136 | − | 0.465333i | \(-0.845934\pi\) |
0.931316 | + | 0.364212i | \(0.118662\pi\) | |||||||
\(504\) | 0.0352275 | + | 0.245013i | 0.00156916 | + | 0.0109137i | ||||
\(505\) | −6.85126 | −0.304877 | ||||||||
\(506\) | 0.542817 | − | 3.59962i | 0.0241311 | − | 0.160023i | ||||
\(507\) | −4.51082 | −0.200332 | ||||||||
\(508\) | −2.94522 | − | 20.4845i | −0.130673 | − | 0.908851i | ||||
\(509\) | 5.82961 | − | 12.7651i | 0.258393 | − | 0.565801i | −0.735325 | − | 0.677714i | \(-0.762971\pi\) |
0.993718 | + | 0.111913i | \(0.0356978\pi\) | |||||||
\(510\) | 6.73175 | − | 1.97662i | 0.298087 | − | 0.0875262i | ||||
\(511\) | −2.53064 | + | 2.92051i | −0.111949 | + | 0.129196i | ||||
\(512\) | 0.959493 | + | 0.281733i | 0.0424040 | + | 0.0124509i | ||||
\(513\) | −6.75131 | + | 4.33880i | −0.298078 | + | 0.191563i | ||||
\(514\) | −10.9876 | − | 24.0594i | −0.484640 | − | 1.06121i | ||||
\(515\) | 3.32362 | + | 3.83567i | 0.146456 | + | 0.169020i | ||||
\(516\) | −3.05717 | − | 1.96472i | −0.134584 | − | 0.0864920i | ||||
\(517\) | −0.376055 | + | 2.61552i | −0.0165389 | + | 0.115030i | ||||
\(518\) | 0.0131594 | − | 0.0915259i | 0.000578192 | − | 0.00402142i | ||||
\(519\) | 10.4152 | + | 6.69344i | 0.457177 | + | 0.293810i | ||||
\(520\) | 1.90802 | + | 2.20197i | 0.0836720 | + | 0.0965626i | ||||
\(521\) | 9.97156 | + | 21.8347i | 0.436862 | + | 0.956594i | 0.992164 | + | 0.124945i | \(0.0398755\pi\) |
−0.555302 | + | 0.831649i | \(0.687397\pi\) | |||||||
\(522\) | −6.45074 | + | 4.14564i | −0.282341 | + | 0.181450i | ||||
\(523\) | 3.33252 | + | 0.978516i | 0.145721 | + | 0.0427875i | 0.353780 | − | 0.935329i | \(-0.384896\pi\) |
−0.208059 | + | 0.978116i | \(0.566714\pi\) | |||||||
\(524\) | −0.741769 | + | 0.856047i | −0.0324043 | + | 0.0373966i | ||||
\(525\) | −0.237505 | + | 0.0697379i | −0.0103656 | + | 0.00304361i | ||||
\(526\) | −6.42908 | + | 14.0777i | −0.280321 | + | 0.613818i | ||||
\(527\) | −3.17550 | − | 22.0861i | −0.138327 | − | 0.962084i | ||||
\(528\) | −0.759060 | −0.0330338 | ||||||||
\(529\) | −21.9772 | − | 6.78248i | −0.955531 | − | 0.294890i | ||||
\(530\) | 9.85540 | 0.428091 | ||||||||
\(531\) | −1.95428 | − | 13.5923i | −0.0848084 | − | 0.589855i | ||||
\(532\) | −0.825230 | + | 1.80700i | −0.0357783 | + | 0.0783435i | ||||
\(533\) | −35.7858 | + | 10.5077i | −1.55006 | + | 0.455138i | ||||
\(534\) | −1.72920 | + | 1.99560i | −0.0748297 | + | 0.0863581i | ||||
\(535\) | −18.2265 | − | 5.35178i | −0.788000 | − | 0.231378i | ||||
\(536\) | 8.57544 | − | 5.51110i | 0.370403 | − | 0.238043i | ||||
\(537\) | −1.22404 | − | 2.68028i | −0.0528213 | − | 0.115662i | ||||
\(538\) | 17.2141 | + | 19.8661i | 0.742151 | + | 0.856488i | ||||
\(539\) | 4.43081 | + | 2.84751i | 0.190848 | + | 0.122651i | ||||
\(540\) | 0.142315 | − | 0.989821i | 0.00612426 | − | 0.0425951i | ||||
\(541\) | −5.39983 | + | 37.5567i | −0.232157 | + | 1.61469i | 0.456585 | + | 0.889680i | \(0.349073\pi\) |
−0.688742 | + | 0.725007i | \(0.741837\pi\) | |||||||
\(542\) | −13.2982 | − | 8.54621i | −0.571205 | − | 0.367091i | ||||
\(543\) | −13.8020 | − | 15.9284i | −0.592301 | − | 0.683552i | ||||
\(544\) | 2.91453 | + | 6.38193i | 0.124959 | + | 0.273623i | ||||
\(545\) | −6.56358 | + | 4.21816i | −0.281153 | + | 0.180686i | ||||
\(546\) | −0.692000 | − | 0.203190i | −0.0296149 | − | 0.00869571i | ||||
\(547\) | 0.900452 | − | 1.03918i | 0.0385005 | − | 0.0444320i | −0.736173 | − | 0.676794i | \(-0.763369\pi\) |
0.774673 | + | 0.632362i | \(0.217914\pi\) | |||||||
\(548\) | 20.1593 | − | 5.91931i | 0.861164 | − | 0.252860i | ||||
\(549\) | 1.29177 | − | 2.82859i | 0.0551316 | − | 0.120721i | ||||
\(550\) | −0.108025 | − | 0.751334i | −0.00460622 | − | 0.0320370i | ||||
\(551\) | −61.5381 | −2.62161 | ||||||||
\(552\) | −0.715117 | + | 4.74222i | −0.0304374 | + | 0.201842i | ||||
\(553\) | −2.10303 | −0.0894297 | ||||||||
\(554\) | 2.85983 | + | 19.8906i | 0.121503 | + | 0.845070i | ||||
\(555\) | −0.155181 | + | 0.339798i | −0.00658705 | + | 0.0144236i | ||||
\(556\) | −9.85177 | + | 2.89274i | −0.417808 | + | 0.122680i | ||||
\(557\) | 23.0787 | − | 26.6342i | 0.977876 | − | 1.12853i | −0.0138178 | − | 0.999905i | \(-0.504398\pi\) |
0.991693 | − | 0.128624i | \(-0.0410561\pi\) | |||||||
\(558\) | −3.05153 | − | 0.896009i | −0.129181 | − | 0.0379311i | ||||
\(559\) | 8.90742 | − | 5.72445i | 0.376744 | − | 0.242118i | ||||
\(560\) | −0.102829 | − | 0.225163i | −0.00434530 | − | 0.00951488i | ||||
\(561\) | −3.48748 | − | 4.02476i | −0.147241 | − | 0.169926i | ||||
\(562\) | −14.9680 | − | 9.61933i | −0.631386 | − | 0.405767i | ||||
\(563\) | 4.07707 | − | 28.3566i | 0.171828 | − | 1.19509i | −0.703191 | − | 0.711001i | \(-0.748242\pi\) |
0.875019 | − | 0.484089i | \(-0.160849\pi\) | |||||||
\(564\) | 0.495422 | − | 3.44574i | 0.0208610 | − | 0.145092i | ||||
\(565\) | −0.0468245 | − | 0.0300923i | −0.00196992 | − | 0.00126599i | ||||
\(566\) | 6.15439 | + | 7.10254i | 0.258688 | + | 0.298542i | ||||
\(567\) | 0.102829 | + | 0.225163i | 0.00431839 | + | 0.00945596i | ||||
\(568\) | 3.07342 | − | 1.97517i | 0.128958 | − | 0.0828763i | ||||
\(569\) | −4.52820 | − | 1.32960i | −0.189832 | − | 0.0557397i | 0.185435 | − | 0.982657i | \(-0.440631\pi\) |
−0.375267 | + | 0.926917i | \(0.622449\pi\) | |||||||
\(570\) | 5.25545 | − | 6.06512i | 0.220127 | − | 0.254040i | ||||
\(571\) | 11.3948 | − | 3.34582i | 0.476859 | − | 0.140018i | −0.0344661 | − | 0.999406i | \(-0.510973\pi\) |
0.511325 | + | 0.859388i | \(0.329155\pi\) | |||||||
\(572\) | 0.918737 | − | 2.01175i | 0.0384143 | − | 0.0841156i | ||||
\(573\) | −2.82028 | − | 19.6155i | −0.117819 | − | 0.819447i | ||||
\(574\) | 3.16860 | 0.132255 | ||||||||
\(575\) | −4.79572 | − | 0.0329509i | −0.199995 | − | 0.00137415i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | −3.71665 | − | 25.8499i | −0.154726 | − | 1.07614i | −0.908161 | − | 0.418621i | \(-0.862514\pi\) |
0.753435 | − | 0.657522i | \(-0.228396\pi\) | |||||||
\(578\) | −13.3861 | + | 29.3115i | −0.556789 | + | 1.21920i | ||||
\(579\) | −14.0997 | + | 4.14006i | −0.585965 | + | 0.172055i | ||||
\(580\) | 5.02148 | − | 5.79510i | 0.208506 | − | 0.240628i | ||||
\(581\) | 2.62128 | + | 0.769678i | 0.108749 | + | 0.0319316i | ||||
\(582\) | −9.81279 | + | 6.30630i | −0.406753 | + | 0.261405i | ||||
\(583\) | −3.10765 | − | 6.80481i | −0.128706 | − | 0.281826i | ||||
\(584\) | 10.2235 | + | 11.7985i | 0.423050 | + | 0.488225i | ||||
\(585\) | 2.45109 | + | 1.57522i | 0.101340 | + | 0.0651274i | ||||
\(586\) | −3.72399 | + | 25.9009i | −0.153836 | + | 1.06996i | ||||
\(587\) | −1.89665 | + | 13.1915i | −0.0782833 | + | 0.544472i | 0.912506 | + | 0.409062i | \(0.134144\pi\) |
−0.990790 | + | 0.135410i | \(0.956765\pi\) | |||||||
\(588\) | −5.83723 | − | 3.75136i | −0.240723 | − | 0.154703i | ||||
\(589\) | −16.7142 | − | 19.2892i | −0.688697 | − | 0.794798i | ||||
\(590\) | 5.70451 | + | 12.4911i | 0.234851 | + | 0.514252i | ||||
\(591\) | −9.47647 | + | 6.09016i | −0.389810 | + | 0.250516i | ||||
\(592\) | −0.358424 | − | 0.105243i | −0.0147311 | − | 0.00432545i | ||||
\(593\) | −5.16759 | + | 5.96372i | −0.212208 | + | 0.244901i | −0.851867 | − | 0.523758i | \(-0.824530\pi\) |
0.639660 | + | 0.768658i | \(0.279075\pi\) | |||||||
\(594\) | −0.728312 | + | 0.213852i | −0.0298830 | + | 0.00877445i | ||||
\(595\) | 0.721440 | − | 1.57973i | 0.0295761 | − | 0.0647627i | ||||
\(596\) | −0.397912 | − | 2.76754i | −0.0162991 | − | 0.113363i | ||||
\(597\) | 13.5900 | 0.556203 | ||||||||
\(598\) | −11.7028 | − | 7.63509i | −0.478565 | − | 0.312222i | ||||
\(599\) | 2.92435 | 0.119486 | 0.0597429 | − | 0.998214i | \(-0.480972\pi\) | ||||
0.0597429 | + | 0.998214i | \(0.480972\pi\) | |||||||
\(600\) | 0.142315 | + | 0.989821i | 0.00580998 | + | 0.0404093i | ||||
\(601\) | −3.48553 | + | 7.63225i | −0.142178 | + | 0.311326i | −0.967303 | − | 0.253624i | \(-0.918377\pi\) |
0.825125 | + | 0.564950i | \(0.191105\pi\) | |||||||
\(602\) | −0.863109 | + | 0.253432i | −0.0351777 | + | 0.0103291i | ||||
\(603\) | 6.67542 | − | 7.70385i | 0.271844 | − | 0.313725i | ||||
\(604\) | −1.97894 | − | 0.581070i | −0.0805221 | − | 0.0236434i | ||||
\(605\) | 8.76908 | − | 5.63555i | 0.356514 | − | 0.229118i | ||||
\(606\) | −2.84612 | − | 6.23213i | −0.115616 | − | 0.253163i | ||||
\(607\) | −7.49717 | − | 8.65220i | −0.304301 | − | 0.351182i | 0.582918 | − | 0.812531i | \(-0.301911\pi\) |
−0.887219 | + | 0.461349i | \(0.847365\pi\) | |||||||
\(608\) | 6.75131 | + | 4.33880i | 0.273802 | + | 0.175962i | ||||
\(609\) | −0.270125 | + | 1.87876i | −0.0109460 | + | 0.0761312i | ||||
\(610\) | −0.442542 | + | 3.07795i | −0.0179180 | + | 0.124622i | ||||
\(611\) | 8.53267 | + | 5.48362i | 0.345195 | + | 0.221843i | ||||
\(612\) | 4.59447 | + | 5.30230i | 0.185720 | + | 0.214333i | ||||
\(613\) | −1.49730 | − | 3.27864i | −0.0604755 | − | 0.132423i | 0.876981 | − | 0.480525i | \(-0.159554\pi\) |
−0.937457 | + | 0.348102i | \(0.886826\pi\) | |||||||
\(614\) | −9.09932 | + | 5.84778i | −0.367219 | + | 0.235997i | ||||
\(615\) | −12.2823 | − | 3.60640i | −0.495269 | − | 0.145424i | ||||
\(616\) | −0.123043 | + | 0.141999i | −0.00495754 | + | 0.00572131i | ||||
\(617\) | −17.5538 | + | 5.15427i | −0.706691 | + | 0.207503i | −0.615278 | − | 0.788310i | \(-0.710956\pi\) |
−0.0914125 | + | 0.995813i | \(0.529138\pi\) | |||||||
\(618\) | −2.10836 | + | 4.61667i | −0.0848108 | + | 0.185710i | ||||
\(619\) | 2.19461 | + | 15.2638i | 0.0882088 | + | 0.613506i | 0.985194 | + | 0.171445i | \(0.0548435\pi\) |
−0.896985 | + | 0.442061i | \(0.854247\pi\) | |||||||
\(620\) | 3.18035 | 0.127726 | ||||||||
\(621\) | 0.649886 | + | 4.75159i | 0.0260790 | + | 0.190675i | ||||
\(622\) | 25.3331 | 1.01576 | ||||||||
\(623\) | 0.0930203 | + | 0.646970i | 0.00372678 | + | 0.0259203i | ||||
\(624\) | −1.21036 | + | 2.65032i | −0.0484532 | + | 0.106098i | ||||
\(625\) | −0.959493 | + | 0.281733i | −0.0383797 | + | 0.0112693i | ||||
\(626\) | −0.816373 | + | 0.942145i | −0.0326288 | + | 0.0376557i | ||||
\(627\) | −5.84492 | − | 1.71622i | −0.233424 | − | 0.0685394i | ||||
\(628\) | 15.3886 | − | 9.88966i | 0.614073 | − | 0.394640i | ||||
\(629\) | −1.08874 | − | 2.38401i | −0.0434109 | − | 0.0950566i | ||||
\(630\) | −0.162099 | − | 0.187072i | −0.00645818 | − | 0.00745314i | ||||
\(631\) | −17.5047 | − | 11.2496i | −0.696852 | − | 0.447840i | 0.143664 | − | 0.989627i | \(-0.454112\pi\) |
−0.840516 | + | 0.541787i | \(0.817748\pi\) | |||||||
\(632\) | −1.20910 | + | 8.40949i | −0.0480955 | + | 0.334512i | ||||
\(633\) | −1.67877 | + | 11.6761i | −0.0667253 | + | 0.464084i | ||||
\(634\) | 5.72577 | + | 3.67973i | 0.227400 | + | 0.146141i | ||||
\(635\) | 13.5524 | + | 15.6403i | 0.537811 | + | 0.620667i | ||||
\(636\) | 4.09408 | + | 8.96478i | 0.162341 | + | 0.355477i | ||||
\(637\) | 17.0075 | − | 10.9300i | 0.673860 | − | 0.433064i | ||||
\(638\) | −5.58471 | − | 1.63982i | −0.221101 | − | 0.0649211i | ||||
\(639\) | 2.39246 | − | 2.76104i | 0.0946442 | − | 0.109225i | ||||
\(640\) | −0.959493 | + | 0.281733i | −0.0379273 | + | 0.0111365i | ||||
\(641\) | −15.0312 | + | 32.9137i | −0.593697 | + | 1.30001i | 0.339486 | + | 0.940611i | \(0.389747\pi\) |
−0.933182 | + | 0.359403i | \(0.882980\pi\) | |||||||
\(642\) | −2.70341 | − | 18.8026i | −0.106695 | − | 0.742080i | ||||
\(643\) | −17.4582 | −0.688485 | −0.344243 | − | 0.938881i | \(-0.611864\pi\) | ||||
−0.344243 | + | 0.938881i | \(0.611864\pi\) | |||||||
\(644\) | 0.771217 | + | 0.902487i | 0.0303902 | + | 0.0355630i | ||||
\(645\) | 3.63406 | 0.143091 | ||||||||
\(646\) | 8.01305 | + | 55.7320i | 0.315269 | + | 2.19274i | ||||
\(647\) | −14.0581 | + | 30.7830i | −0.552681 | + | 1.21020i | 0.402837 | + | 0.915272i | \(0.368024\pi\) |
−0.955518 | + | 0.294931i | \(0.904703\pi\) | |||||||
\(648\) | 0.959493 | − | 0.281733i | 0.0376924 | − | 0.0110675i | ||||
\(649\) | 6.82591 | − | 7.87752i | 0.267941 | − | 0.309220i | ||||
\(650\) | −2.79560 | − | 0.820862i | −0.109652 | − | 0.0321968i | ||||
\(651\) | −0.662268 | + | 0.425614i | −0.0259563 | + | 0.0166811i | ||||
\(652\) | −4.10586 | − | 8.99059i | −0.160798 | − | 0.352099i | ||||
\(653\) | −4.81383 | − | 5.55546i | −0.188380 | − | 0.217402i | 0.653701 | − | 0.756753i | \(-0.273215\pi\) |
−0.842081 | + | 0.539351i | \(0.818670\pi\) | |||||||
\(654\) | −6.56358 | − | 4.21816i | −0.256656 | − | 0.164943i | ||||
\(655\) | 0.161202 | − | 1.12118i | 0.00629867 | − | 0.0438082i | ||||
\(656\) | 1.82174 | − | 12.6705i | 0.0711270 | − | 0.494699i | ||||
\(657\) | 13.1334 | + | 8.44030i | 0.512381 | + | 0.329287i | ||||
\(658\) | −0.564294 | − | 0.651231i | −0.0219985 | − | 0.0253876i | ||||
\(659\) | 17.2305 | + | 37.7295i | 0.671204 | + | 1.46973i | 0.871702 | + | 0.490037i | \(0.163017\pi\) |
−0.200498 | + | 0.979694i | \(0.564256\pi\) | |||||||
\(660\) | 0.638562 | − | 0.410379i | 0.0248560 | − | 0.0159740i | ||||
\(661\) | 0.685134 | + | 0.201174i | 0.0266486 | + | 0.00782474i | 0.295030 | − | 0.955488i | \(-0.404670\pi\) |
−0.268381 | + | 0.963313i | \(0.586489\pi\) | |||||||
\(662\) | −10.4877 | + | 12.1034i | −0.407615 | + | 0.470412i | ||||
\(663\) | −19.6138 | + | 5.75912i | −0.761736 | + | 0.223666i | ||||
\(664\) | 4.58483 | − | 10.0394i | 0.177926 | − | 0.389603i | ||||
\(665\) | −0.282711 | − | 1.96630i | −0.0109631 | − | 0.0762498i | ||||
\(666\) | −0.373556 | −0.0144750 | ||||||||
\(667\) | −15.5062 | + | 33.3455i | −0.600401 | + | 1.29114i | ||||
\(668\) | −18.1504 | −0.702259 | ||||||||
\(669\) | −0.743403 | − | 5.17048i | −0.0287416 | − | 0.199902i | ||||
\(670\) | −4.23460 | + | 9.27247i | −0.163597 | + | 0.358227i | ||||
\(671\) | 2.26476 | − | 0.664993i | 0.0874301 | − | 0.0256718i | ||||
\(672\) | 0.162099 | − | 0.187072i | 0.00625311 | − | 0.00721647i | ||||
\(673\) | 35.6868 | + | 10.4786i | 1.37563 | + | 0.403920i | 0.884244 | − | 0.467025i | \(-0.154674\pi\) |
0.491381 | + | 0.870945i | \(0.336492\pi\) | |||||||
\(674\) | 6.60465 | − | 4.24455i | 0.254401 | − | 0.163494i | ||||
\(675\) | 0.415415 | + | 0.909632i | 0.0159893 | + | 0.0350118i | ||||
\(676\) | 2.95396 | + | 3.40905i | 0.113614 | + | 0.131117i | ||||
\(677\) | −2.78383 | − | 1.78906i | −0.106991 | − | 0.0687590i | 0.486051 | − | 0.873930i | \(-0.338437\pi\) |
−0.593042 | + | 0.805171i | \(0.702073\pi\) | |||||||
\(678\) | 0.00792130 | − | 0.0550939i | 0.000304216 | − | 0.00211587i | ||||
\(679\) | −0.410911 | + | 2.85795i | −0.0157693 | + | 0.109678i | ||||
\(680\) | −5.90219 | − | 3.79311i | −0.226339 | − | 0.145459i | ||||
\(681\) | 6.26824 | + | 7.23393i | 0.240199 | + | 0.277205i | ||||
\(682\) | −1.00284 | − | 2.19592i | −0.0384009 | − | 0.0840862i | ||||
\(683\) | 33.6342 | − | 21.6154i | 1.28698 | − | 0.827091i | 0.295247 | − | 0.955421i | \(-0.404598\pi\) |
0.991732 | + | 0.128330i | \(0.0409616\pi\) | |||||||
\(684\) | 7.70022 | + | 2.26099i | 0.294425 | + | 0.0864510i | ||||
\(685\) | −13.7589 | + | 15.8786i | −0.525700 | + | 0.606690i | ||||
\(686\) | −3.31052 | + | 0.972057i | −0.126396 | + | 0.0371133i | ||||
\(687\) | 4.35387 | − | 9.53365i | 0.166111 | − | 0.363731i | ||||
\(688\) | 0.517181 | + | 3.59707i | 0.0197173 | + | 0.137137i | ||||
\(689\) | −28.7149 | −1.09395 | ||||||||
\(690\) | −1.96224 | − | 4.37603i | −0.0747012 | − | 0.166593i | ||||
\(691\) | −7.75637 | −0.295066 | −0.147533 | − | 0.989057i | \(-0.547133\pi\) | ||||
−0.147533 | + | 0.989057i | \(0.547133\pi\) | |||||||
\(692\) | −1.76194 | − | 12.2546i | −0.0669789 | − | 0.465848i | ||||
\(693\) | −0.0780530 | + | 0.170912i | −0.00296499 | + | 0.00649242i | ||||
\(694\) | −10.9220 | + | 3.20699i | −0.414594 | + | 0.121736i | ||||
\(695\) | 6.72390 | − | 7.75980i | 0.255052 | − | 0.294346i | ||||
\(696\) | 7.35741 | + | 2.16033i | 0.278882 | + | 0.0818871i | ||||
\(697\) | 75.5526 | − | 48.5547i | 2.86176 | − | 1.83914i | ||||
\(698\) | 3.60033 | + | 7.88361i | 0.136274 | + | 0.298399i | ||||
\(699\) | 16.3525 | + | 18.8718i | 0.618510 | + | 0.713799i | ||||
\(700\) | 0.208237 | + | 0.133826i | 0.00787063 | + | 0.00505815i | ||||
\(701\) | 3.64777 | − | 25.3708i | 0.137774 | − | 0.958243i | −0.797247 | − | 0.603653i | \(-0.793711\pi\) |
0.935022 | − | 0.354590i | \(-0.115380\pi\) | |||||||
\(702\) | −0.414651 | + | 2.88396i | −0.0156500 | + | 0.108848i | ||||
\(703\) | −2.52199 | − | 1.62079i | −0.0951187 | − | 0.0611291i | ||||
\(704\) | 0.497078 | + | 0.573659i | 0.0187343 | + | 0.0216206i | ||||
\(705\) | 1.44613 | + | 3.16658i | 0.0544644 | + | 0.119260i | ||||
\(706\) | 17.4652 | − | 11.2242i | 0.657310 | − | 0.422427i | ||||
\(707\) | −1.62721 | − | 0.477793i | −0.0611976 | − | 0.0179692i | ||||
\(708\) | −8.99259 | + | 10.3780i | −0.337962 | + | 0.390029i | ||||
\(709\) | −34.5180 | + | 10.1354i | −1.29635 | + | 0.380643i | −0.855904 | − | 0.517136i | \(-0.826998\pi\) |
−0.440447 | + | 0.897778i | \(0.645180\pi\) | |||||||
\(710\) | −1.51767 | + | 3.32324i | −0.0569572 | + | 0.124719i | ||||
\(711\) | 1.20910 | + | 8.40949i | 0.0453449 | + | 0.315381i | ||||
\(712\) | 2.64056 | 0.0989591 | ||||||||
\(713\) | −14.6638 | + | 4.19646i | −0.549163 | + | 0.157159i | ||||
\(714\) | 1.73667 | 0.0649933 | ||||||||
\(715\) | 0.314745 | + | 2.18910i | 0.0117708 | + | 0.0818677i | ||||
\(716\) | −1.22404 | + | 2.68028i | −0.0457446 | + | 0.100167i | ||||
\(717\) | 6.69874 | − | 1.96693i | 0.250169 | − | 0.0734562i | ||||
\(718\) | −6.37551 | + | 7.35773i | −0.237932 | + | 0.274588i | ||||
\(719\) | −30.6007 | − | 8.98517i | −1.14121 | − | 0.335090i | −0.344107 | − | 0.938930i | \(-0.611818\pi\) |
−0.797105 | + | 0.603840i | \(0.793636\pi\) | |||||||
\(720\) | −0.841254 | + | 0.540641i | −0.0313517 | + | 0.0201485i | ||||
\(721\) | 0.521887 | + | 1.14277i | 0.0194361 | + | 0.0425591i | ||||
\(722\) | 29.7342 | + | 34.3151i | 1.10659 | + | 1.27708i | ||||
\(723\) | −2.44498 | − | 1.57129i | −0.0909298 | − | 0.0584370i | ||||
\(724\) | −2.99946 | + | 20.8617i | −0.111474 | + | 0.775320i | ||||
\(725\) | −1.09127 | + | 7.58997i | −0.0405288 | + | 0.281884i | ||||
\(726\) | 8.76908 | + | 5.63555i | 0.325451 | + | 0.209155i | ||||
\(727\) | −17.0832 | − | 19.7151i | −0.633581 | − | 0.731191i | 0.344645 | − | 0.938733i | \(-0.387999\pi\) |
−0.978226 | + | 0.207542i | \(0.933454\pi\) | |||||||
\(728\) | 0.299603 | + | 0.656040i | 0.0111040 | + | 0.0243145i | ||||
\(729\) | 0.841254 | − | 0.540641i | 0.0311575 | − | 0.0200237i | ||||
\(730\) | −14.9793 | − | 4.39831i | −0.554408 | − | 0.162789i | ||||
\(731\) | −16.6966 | + | 19.2689i | −0.617545 | + | 0.712685i | ||||
\(732\) | −2.98364 | + | 0.876075i | −0.110278 | + | 0.0323807i | ||||
\(733\) | −0.598227 | + | 1.30993i | −0.0220960 | + | 0.0483835i | −0.920358 | − | 0.391076i | \(-0.872103\pi\) |
0.898262 | + | 0.439460i | \(0.144830\pi\) | |||||||
\(734\) | −2.92537 | − | 20.3464i | −0.107977 | − | 0.750998i | ||||
\(735\) | 6.93873 | 0.255939 | ||||||||
\(736\) | 4.05223 | − | 2.56504i | 0.149367 | − | 0.0945487i | ||||
\(737\) | 7.73759 | 0.285018 | ||||||||
\(738\) | −1.82174 | − | 12.6705i | −0.0670592 | − | 0.466407i | ||||
\(739\) | 14.4421 | − | 31.6238i | 0.531261 | − | 1.16330i | −0.433737 | − | 0.901040i | \(-0.642805\pi\) |
0.964997 | − | 0.262259i | \(-0.0844676\pi\) | |||||||
\(740\) | 0.358424 | − | 0.105243i | 0.0131759 | − | 0.00386880i | ||||
\(741\) | −15.3124 | + | 17.6714i | −0.562515 | + | 0.649177i | ||||
\(742\) | 2.34071 | + | 0.687294i | 0.0859301 | + | 0.0252314i | ||||
\(743\) | −16.2404 | + | 10.4371i | −0.595802 | + | 0.382898i | −0.803509 | − | 0.595293i | \(-0.797036\pi\) |
0.207707 | + | 0.978191i | \(0.433400\pi\) | |||||||
\(744\) | 1.32117 | + | 2.89295i | 0.0484363 | + | 0.106061i | ||||
\(745\) | 1.83099 | + | 2.11307i | 0.0670823 | + | 0.0774171i | ||||
\(746\) | 7.30802 | + | 4.69658i | 0.267565 | + | 0.171954i | ||||
\(747\) | 1.57069 | − | 10.9244i | 0.0574686 | − | 0.399703i | ||||
\(748\) | −0.757901 | + | 5.27132i | −0.0277116 | + | 0.192738i | ||||
\(749\) | −3.95567 | − | 2.54215i | −0.144537 | − | 0.0928883i | ||||
\(750\) | −0.654861 | − | 0.755750i | −0.0239121 | − | 0.0275961i | ||||
\(751\) | −0.479487 | − | 1.04993i | −0.0174967 | − | 0.0383125i | 0.900682 | − | 0.434479i | \(-0.143068\pi\) |
−0.918179 | + | 0.396167i | \(0.870340\pi\) | |||||||
\(752\) | −2.92855 | + | 1.88206i | −0.106793 | + | 0.0686318i | ||||
\(753\) | −5.90810 | − | 1.73477i | −0.215303 | − | 0.0632187i | ||||
\(754\) | −14.6307 | + | 16.8847i | −0.532818 | + | 0.614905i | ||||
\(755\) | 1.97894 | − | 0.581070i | 0.0720212 | − | 0.0211473i | ||||
\(756\) | 0.102829 | − | 0.225163i | 0.00373984 | − | 0.00818910i | ||||
\(757\) | 6.98665 | + | 48.5932i | 0.253934 | + | 1.76615i | 0.574096 | + | 0.818788i | \(0.305354\pi\) |
−0.320162 | + | 0.947363i | \(0.603737\pi\) | |||||||
\(758\) | 18.2300 | 0.662142 | ||||||||
\(759\) | −2.40275 | + | 2.73473i | −0.0872143 | + | 0.0992643i | ||||
\(760\) | −8.02530 | −0.291108 | ||||||||
\(761\) | 1.69730 | + | 11.8050i | 0.0615271 | + | 0.427931i | 0.997182 | + | 0.0750153i | \(0.0239006\pi\) |
−0.935655 | + | 0.352915i | \(0.885190\pi\) | |||||||
\(762\) | −8.59706 | + | 18.8249i | −0.311438 | + | 0.681955i | ||||
\(763\) | −1.85305 | + | 0.544105i | −0.0670850 | + | 0.0196979i | ||||
\(764\) | −12.9775 | + | 14.9768i | −0.469509 | + | 0.541842i | ||||
\(765\) | −6.73175 | − | 1.97662i | −0.243387 | − | 0.0714649i | ||||
\(766\) | −26.8908 | + | 17.2817i | −0.971604 | + | 0.624412i | ||||
\(767\) | −16.6208 | − | 36.3944i | −0.600141 | − | 1.31413i | ||||
\(768\) | −0.654861 | − | 0.755750i | −0.0236303 | − | 0.0272708i | ||||
\(769\) | 10.1018 | + | 6.49202i | 0.364279 | + | 0.234108i | 0.709957 | − | 0.704245i | \(-0.248714\pi\) |
−0.345677 | + | 0.938353i | \(0.612351\pi\) | |||||||
\(770\) | 0.0267398 | − | 0.185979i | 0.000963635 | − | 0.00670223i | ||||
\(771\) | −3.76417 | + | 26.1804i | −0.135563 | + | 0.942863i | ||||
\(772\) | 12.3622 | + | 7.94471i | 0.444926 | + | 0.285936i | ||||
\(773\) | −6.98598 | − | 8.06225i | −0.251268 | − | 0.289979i | 0.616077 | − | 0.787686i | \(-0.288721\pi\) |
−0.867345 | + | 0.497707i | \(0.834176\pi\) | |||||||
\(774\) | 1.50964 | + | 3.30566i | 0.0542630 | + | 0.118819i | ||||
\(775\) | −2.67548 | + | 1.71943i | −0.0961062 | + | 0.0617637i | ||||
\(776\) | 11.1920 | + | 3.28627i | 0.401769 | + | 0.117970i | ||||
\(777\) | −0.0605530 | + | 0.0698819i | −0.00217233 | + | 0.00250700i | ||||
\(778\) | −20.9680 | + | 6.15676i | −0.751740 | + | 0.220731i | ||||
\(779\) | 42.6756 | − | 93.4466i | 1.52901 | − | 3.34807i | ||||
\(780\) | −0.414651 | − | 2.88396i | −0.0148469 | − | 0.103262i | ||||
\(781\) | 2.77314 | 0.0992307 | ||||||||
\(782\) | 32.2185 | + | 9.70113i | 1.15213 | + | 0.346912i | ||||
\(783\) | 7.66802 | 0.274033 | ||||||||
\(784\) | 0.987484 | + | 6.86810i | 0.0352673 | + | 0.245289i | ||||
\(785\) | −7.59897 | + | 16.6394i | −0.271219 | + | 0.593887i | ||||
\(786\) | 1.08683 | − | 0.319122i | 0.0387659 | − | 0.0113827i | ||||
\(787\) | 0.866171 | − | 0.999615i | 0.0308757 | − | 0.0356324i | −0.740102 | − | 0.672495i | \(-0.765223\pi\) |
0.770977 | + | 0.636863i | \(0.219768\pi\) | |||||||
\(788\) | 10.8084 | + | 3.17363i | 0.385033 | + | 0.113056i | ||||
\(789\) | 13.0195 | − | 8.36711i | 0.463506 | − | 0.297877i | ||||
\(790\) | −3.52935 | − | 7.72821i | −0.125569 | − | 0.274957i | ||||
\(791\) | −0.00902250 | − | 0.0104125i | −0.000320803 | − | 0.000370227i | ||||
\(792\) | 0.638562 | + | 0.410379i | 0.0226903 | + | 0.0145822i | ||||
\(793\) | 1.28940 | − | 8.96797i | 0.0457879 | − | 0.318462i | ||||
\(794\) | 4.70472 | − | 32.7221i | 0.166964 | − | 1.16126i | ||||
\(795\) | −8.29089 | − | 5.32823i | −0.294047 | − | 0.188973i | ||||
\(796\) | −8.89958 | − | 10.2707i | −0.315437 | − | 0.364034i | ||||
\(797\) | 1.78110 | + | 3.90007i | 0.0630899 | + | 0.138148i | 0.938551 | − | 0.345142i | \(-0.112169\pi\) |
−0.875461 | + | 0.483289i | \(0.839442\pi\) | |||||||
\(798\) | 1.67117 | − | 1.07399i | 0.0591586 | − | 0.0380190i | ||||
\(799\) | −23.4344 | − | 6.88095i | −0.829048 | − | 0.243431i | ||||
\(800\) | 0.654861 | − | 0.755750i | 0.0231528 | − | 0.0267198i | ||||
\(801\) | 2.53360 | − | 0.743931i | 0.0895203 | − | 0.0262855i | ||||
\(802\) | −0.378463 | + | 0.828719i | −0.0133640 | + | 0.0292631i | ||||
\(803\) | 1.68646 | + | 11.7296i | 0.0595138 | + | 0.413927i | ||||
\(804\) | −10.1937 | −0.359502 | ||||||||
\(805\) | −1.13671 | − | 0.342269i | −0.0400638 | − | 0.0120634i | ||||
\(806\) | −9.26634 | −0.326393 | ||||||||
\(807\) | −3.74097 | − | 26.0190i | −0.131688 | − | 0.915914i | ||||
\(808\) | −2.84612 | + | 6.23213i | −0.100126 | + | 0.219246i | ||||
\(809\) | −31.4481 | + | 9.23399i | −1.10566 | + | 0.324650i | −0.783097 | − | 0.621900i | \(-0.786361\pi\) |
−0.322559 | + | 0.946549i | \(0.604543\pi\) | |||||||
\(810\) | −0.654861 | + | 0.755750i | −0.0230095 | + | 0.0265543i | ||||
\(811\) | −27.8690 | − | 8.18307i | −0.978612 | − | 0.287346i | −0.246961 | − | 0.969026i | \(-0.579432\pi\) |
−0.731651 | + | 0.681679i | \(0.761250\pi\) | |||||||
\(812\) | 1.59677 | − | 1.02618i | 0.0560355 | − | 0.0360118i | ||||
\(813\) | 6.56670 | + | 14.3791i | 0.230304 | + | 0.504296i | ||||
\(814\) | −0.185686 | − | 0.214294i | −0.00650831 | − | 0.00751099i | ||||
\(815\) | 8.31475 | + | 5.34357i | 0.291253 | + | 0.187177i | ||||
\(816\) | 0.998473 | − | 6.94453i | 0.0349536 | − | 0.243107i | ||||
\(817\) | −4.15053 | + | 28.8676i | −0.145209 | + | 1.00995i | ||||
\(818\) | −6.52537 | − | 4.19360i | −0.228154 | − | 0.146626i | ||||
\(819\) | 0.472295 | + | 0.545058i | 0.0165033 | + | 0.0190459i | ||||
\(820\) | 5.31764 | + | 11.6440i | 0.185700 | + | 0.406626i | ||||
\(821\) | −3.61651 | + | 2.32419i | −0.126217 | + | 0.0811148i | −0.602226 | − | 0.798326i | \(-0.705719\pi\) |
0.476009 | + | 0.879440i | \(0.342083\pi\) | |||||||
\(822\) | −20.1593 | − | 5.91931i | −0.703137 | − | 0.206460i | ||||
\(823\) | −27.1084 | + | 31.2847i | −0.944938 | + | 1.09052i | 0.0508381 | + | 0.998707i | \(0.483811\pi\) |
−0.995777 | + | 0.0918102i | \(0.970735\pi\) | |||||||
\(824\) | 4.86973 | − | 1.42988i | 0.169645 | − | 0.0498123i | ||||
\(825\) | −0.315325 | + | 0.690465i | −0.0109782 | + | 0.0240389i | ||||
\(826\) | 0.483746 | + | 3.36453i | 0.0168317 | + | 0.117067i | ||||
\(827\) | 5.56761 | 0.193605 | 0.0968025 | − | 0.995304i | \(-0.469138\pi\) | ||||
0.0968025 | + | 0.995304i | \(0.469138\pi\) | |||||||
\(828\) | 3.16543 | − | 3.60278i | 0.110006 | − | 0.125205i | ||||
\(829\) | 32.3426 | 1.12330 | 0.561652 | − | 0.827374i | \(-0.310166\pi\) | ||||
0.561652 | + | 0.827374i | \(0.310166\pi\) | |||||||
\(830\) | 1.57069 | + | 10.9244i | 0.0545195 | + | 0.379191i | ||||
\(831\) | 8.34782 | − | 18.2792i | 0.289583 | − | 0.634097i | ||||
\(832\) | 2.79560 | − | 0.820862i | 0.0969199 | − | 0.0284583i | ||||
\(833\) | −31.8798 | + | 36.7912i | −1.10457 | + | 1.27474i | ||||
\(834\) | 9.85177 | + | 2.89274i | 0.341139 | + | 0.100167i | ||||
\(835\) | 15.2691 | − | 9.81283i | 0.528408 | − | 0.339587i | ||||
\(836\) | 2.53058 | + | 5.54119i | 0.0875218 | + | 0.191646i | ||||
\(837\) | 2.08269 | + | 2.40355i | 0.0719883 | + | 0.0830789i | ||||
\(838\) | −12.0934 | − | 7.77193i | −0.417758 | − | 0.268477i | ||||
\(839\) | 7.18407 | − | 49.9663i | 0.248022 | − | 1.72503i | −0.361597 | − | 0.932334i | \(-0.617768\pi\) |
0.609619 | − | 0.792695i | \(-0.291322\pi\) | |||||||
\(840\) | −0.0352275 | + | 0.245013i | −0.00121546 | + | 0.00845374i | ||||
\(841\) | 25.0681 | + | 16.1103i | 0.864416 | + | 0.555526i | ||||
\(842\) | −4.44603 | − | 5.13099i | −0.153220 | − | 0.176825i | ||||
\(843\) | 7.39125 | + | 16.1846i | 0.254568 | + | 0.557427i | ||||
\(844\) | 9.92359 | − | 6.37750i | 0.341584 | − | 0.219523i | ||||
\(845\) | −4.32810 | − | 1.27084i | −0.148891 | − | 0.0437184i | ||||
\(846\) | −2.27968 | + | 2.63089i | −0.0783771 | + | 0.0904520i | ||||
\(847\) | 2.47572 | − | 0.726936i | 0.0850666 | − | 0.0249778i | ||||
\(848\) | 4.09408 | − | 8.96478i | 0.140591 | − | 0.307852i | ||||
\(849\) | −1.33748 | − | 9.30235i | −0.0459020 | − | 0.319256i | ||||
\(850\) | 7.01595 | 0.240645 | ||||||||
\(851\) | −1.51373 | + | 0.958186i | −0.0518901 | + | 0.0328462i | ||||
\(852\) | −3.65339 | −0.125163 | ||||||||
\(853\) | −4.94912 | − | 34.4219i | −0.169455 | − | 1.17858i | −0.880015 | − | 0.474946i | \(-0.842468\pi\) |
0.710560 | − | 0.703636i | \(-0.248441\pi\) | |||||||
\(854\) | −0.319756 | + | 0.700167i | −0.0109418 | + | 0.0239592i | ||||
\(855\) | −7.70022 | + | 2.26099i | −0.263342 | + | 0.0773242i | ||||
\(856\) | −12.4397 | + | 14.3562i | −0.425181 | + | 0.490685i | ||||
\(857\) | −14.4012 | − | 4.22858i | −0.491936 | − | 0.144445i | 0.0263500 | − | 0.999653i | \(-0.491612\pi\) |
−0.518286 | + | 0.855207i | \(0.673430\pi\) | |||||||
\(858\) | −1.86053 | + | 1.19569i | −0.0635173 | + | 0.0408201i | ||||
\(859\) | 13.9789 | + | 30.6096i | 0.476955 | + | 1.04439i | 0.983290 | + | 0.182049i | \(0.0582728\pi\) |
−0.506335 | + | 0.862337i | \(0.669000\pi\) | |||||||
\(860\) | −2.37980 | − | 2.74644i | −0.0811506 | − | 0.0936528i | ||||
\(861\) | −2.66560 | − | 1.71308i | −0.0908434 | − | 0.0583815i | ||||
\(862\) | 3.82618 | − | 26.6117i | 0.130320 | − | 0.906397i | ||||
\(863\) | 1.75290 | − | 12.1917i | 0.0596693 | − | 0.415009i | −0.937992 | − | 0.346657i | \(-0.887317\pi\) |
0.997661 | − | 0.0683522i | \(-0.0217741\pi\) | |||||||
\(864\) | −0.841254 | − | 0.540641i | −0.0286200 | − | 0.0183930i | ||||
\(865\) | 8.10755 | + | 9.35661i | 0.275665 | + | 0.318134i | ||||
\(866\) | 5.28124 | + | 11.5643i | 0.179464 | + | 0.392971i | ||||
\(867\) | 27.1081 | − | 17.4213i | 0.920640 | − | 0.591660i | ||||
\(868\) | 0.755351 | + | 0.221791i | 0.0256383 | + | 0.00752808i | ||||
\(869\) | −4.22316 | + | 4.87379i | −0.143261 | + | 0.165332i | ||||
\(870\) | −7.35741 | + | 2.16033i | −0.249439 | + | 0.0732420i | ||||
\(871\) | 12.3380 | − | 27.0165i | 0.418057 | − | 0.915418i | ||||
\(872\) | 1.11036 | + | 7.72273i | 0.0376016 | + | 0.261525i | ||||
\(873\) | 11.6645 | 0.394783 | ||||||||
\(874\) | 37.0026 | − | 10.5893i | 1.25163 | − | 0.358189i | ||||
\(875\) | −0.247532 | −0.00836811 | ||||||||
\(876\) | −2.22177 | − | 15.4528i | −0.0750667 | − | 0.522100i | ||||
\(877\) | −5.93959 | + | 13.0059i | −0.200566 | + | 0.439178i | −0.983012 | − | 0.183540i | \(-0.941244\pi\) |
0.782447 | + | 0.622718i | \(0.213972\pi\) | |||||||
\(878\) | −3.30098 | + | 0.969255i | −0.111403 | + | 0.0327108i | ||||
\(879\) | 17.1359 | − | 19.7759i | 0.577980 | − | 0.667024i | ||||
\(880\) | −0.728312 | − | 0.213852i | −0.0245514 | − | 0.00720894i | ||||
\(881\) | −16.5872 | + | 10.6600i | −0.558837 | + | 0.359143i | −0.789366 | − | 0.613922i | \(-0.789591\pi\) |
0.230529 | + | 0.973065i | \(0.425954\pi\) | |||||||
\(882\) | 2.88245 | + | 6.31169i | 0.0970572 | + | 0.212526i | ||||
\(883\) | −19.0312 | − | 21.9632i | −0.640452 | − | 0.739121i | 0.339003 | − | 0.940785i | \(-0.389910\pi\) |
−0.979455 | + | 0.201665i | \(0.935365\pi\) | |||||||
\(884\) | 17.1967 | + | 11.0517i | 0.578389 | + | 0.371708i | ||||
\(885\) | 1.95428 | − | 13.5923i | 0.0656923 | − | 0.456900i | ||||
\(886\) | −3.52750 | + | 24.5343i | −0.118509 | + | 0.824247i | ||||
\(887\) | −36.6781 | − | 23.5716i | −1.23153 | − | 0.791457i | −0.247403 | − | 0.968913i | \(-0.579577\pi\) |
−0.984129 | + | 0.177456i | \(0.943213\pi\) | |||||||
\(888\) | 0.244627 | + | 0.282315i | 0.00820914 | + | 0.00947386i | ||||
\(889\) | 2.12805 | + | 4.65977i | 0.0713724 | + | 0.156284i | ||||
\(890\) | −2.22138 | + | 1.42759i | −0.0744608 | + | 0.0478530i | ||||
\(891\) | 0.728312 | + | 0.213852i | 0.0243994 | + | 0.00716431i | ||||
\(892\) | −3.42076 | + | 3.94777i | −0.114536 | + | 0.132181i | ||||
\(893\) | −26.8058 | + | 7.87088i | −0.897021 | + | 0.263389i | ||||
\(894\) | −1.16150 | + | 2.54333i | −0.0388464 | + | 0.0850617i | ||||
\(895\) | −0.419338 | − | 2.91656i | −0.0140169 | − | 0.0974898i | ||||
\(896\) | −0.247532 | −0.00826947 | ||||||||
\(897\) | 5.71722 | + | 12.7501i | 0.190893 | + | 0.425713i | ||||
\(898\) | 28.0677 | 0.936630 | ||||||||
\(899\) | 3.47063 | + | 24.1388i | 0.115752 | + | 0.805073i | ||||
\(900\) | 0.415415 | − | 0.909632i | 0.0138472 | − | 0.0303211i | ||||
\(901\) | 66.3441 | − | 19.4804i | 2.21024 | − | 0.648985i | ||||
\(902\) | 6.36299 | − | 7.34328i | 0.211864 | − | 0.244505i | ||||
\(903\) | 0.863109 | + | 0.253432i | 0.0287225 | + | 0.00843367i | ||||
\(904\) | −0.0468245 | + | 0.0300923i | −0.00155736 | + | 0.00100085i | ||||
\(905\) | −8.75540 | − | 19.1716i | −0.291039 | − | 0.637287i | ||||
\(906\) | 1.35064 | + | 1.55873i | 0.0448721 | + | 0.0517852i | ||||
\(907\) | −30.1218 | − | 19.3581i | −1.00018 | − | 0.642775i | −0.0653446 | − | 0.997863i | \(-0.520815\pi\) |
−0.934833 | + | 0.355088i | \(0.884451\pi\) | |||||||
\(908\) | 1.36222 | − | 9.47444i | 0.0452068 | − | 0.314420i | ||||
\(909\) | −0.975037 | + | 6.78153i | −0.0323399 | + | 0.224929i | ||||
\(910\) | −0.606724 | − | 0.389918i | −0.0201127 | − | 0.0129257i | ||||
\(911\) | 9.15072 | + | 10.5605i | 0.303177 | + | 0.349885i | 0.886811 | − | 0.462132i | \(-0.152915\pi\) |
−0.583634 | + | 0.812017i | \(0.698370\pi\) | |||||||
\(912\) | −3.33383 | − | 7.30007i | −0.110394 | − | 0.241729i | ||||
\(913\) | 7.04764 | − | 4.52924i | 0.233243 | − | 0.149896i | ||||
\(914\) | 0.296483 | + | 0.0870551i | 0.00980677 | + | 0.00287953i | ||||
\(915\) | 2.03635 | − | 2.35008i | 0.0673198 | − | 0.0776912i | ||||
\(916\) | −10.0562 | + | 2.95278i | −0.332267 | + | 0.0975625i | ||||
\(917\) | 0.116475 | − | 0.255045i | 0.00384635 | − | 0.00842233i | ||||
\(918\) | −0.998473 | − | 6.94453i | −0.0329545 | − | 0.229204i | ||||
\(919\) | −40.2758 | −1.32858 | −0.664288 | − | 0.747477i | \(-0.731265\pi\) | ||||
−0.664288 | + | 0.747477i | \(0.731265\pi\) | |||||||
\(920\) | −2.02219 | + | 4.34865i | −0.0666695 | + | 0.143371i | ||||
\(921\) | 10.8164 | 0.356412 | ||||||||
\(922\) | −2.91447 | − | 20.2706i | −0.0959828 | − | 0.667575i | ||||
\(923\) | 4.42192 | − | 9.68265i | 0.145549 | − | 0.318708i | ||||
\(924\) | 0.180281 | − | 0.0529352i | 0.00593080 | − | 0.00174144i | ||||
\(925\) | −0.244627 | + | 0.282315i | −0.00804329 | + | 0.00928245i | ||||
\(926\) | 1.41178 | + | 0.414537i | 0.0463941 | + | 0.0136225i | ||||
\(927\) | 4.26963 | − | 2.74392i | 0.140233 | − | 0.0901222i | ||||
\(928\) | −3.18541 | − | 6.97507i | −0.104566 | − | 0.228968i | ||||
\(929\) | −2.03899 | − | 2.35312i | −0.0668972 | − | 0.0772035i | 0.721314 | − | 0.692608i | \(-0.243538\pi\) |
−0.788212 | + | 0.615404i | \(0.788993\pi\) | |||||||
\(930\) | −2.67548 | − | 1.71943i | −0.0877326 | − | 0.0563823i | ||||
\(931\) | −7.92485 | + | 55.1186i | −0.259727 | + | 1.80644i | ||||
\(932\) | 3.55375 | − | 24.7169i | 0.116407 | − | 0.809628i | ||||
\(933\) | −21.3115 | − | 13.6961i | −0.697709 | − | 0.448390i | ||||
\(934\) | 12.3027 | + | 14.1981i | 0.402558 | + | 0.464576i | ||||
\(935\) | −2.21230 | − | 4.84427i | −0.0723500 | − | 0.158424i | ||||
\(936\) | 2.45109 | − | 1.57522i | 0.0801165 | − | 0.0514877i | ||||
\(937\) | −28.9296 | − | 8.49449i | −0.945089 | − | 0.277503i | −0.227348 | − | 0.973814i | \(-0.573005\pi\) |
−0.717741 | + | 0.696311i | \(0.754824\pi\) | |||||||
\(938\) | −1.65238 | + | 1.90695i | −0.0539522 | + | 0.0622641i | ||||
\(939\) | 1.19614 | − | 0.351218i | 0.0390345 | − | 0.0114616i | ||||
\(940\) | 1.44613 | − | 3.16658i | 0.0471676 | − | 0.103283i | ||||
\(941\) | 1.89211 | + | 13.1599i | 0.0616812 | + | 0.429002i | 0.997141 | + | 0.0755680i | \(0.0240770\pi\) |
−0.935459 | + | 0.353434i | \(0.885014\pi\) | |||||||
\(942\) | −18.2925 | −0.596001 | ||||||||
\(943\) | −39.8824 | − | 46.6709i | −1.29875 | − | 1.51981i | ||||
\(944\) | 13.7321 | 0.446941 | ||||||||
\(945\) | 0.0352275 | + | 0.245013i | 0.00114595 | + | 0.00797026i | ||||
\(946\) | −1.14591 | + | 2.50919i | −0.0372567 | + | 0.0815808i | ||||
\(947\) | 13.6086 | − | 3.99584i | 0.442220 | − | 0.129847i | −0.0530399 | − | 0.998592i | \(-0.516891\pi\) |
0.495260 | + | 0.868745i | \(0.335073\pi\) | |||||||
\(948\) | 5.56368 | − | 6.42083i | 0.180700 | − | 0.208539i | ||||
\(949\) | 43.6439 | + | 12.8150i | 1.41674 | + | 0.415993i | ||||
\(950\) | 6.75131 | − | 4.33880i | 0.219041 | − | 0.140769i | ||||
\(951\) | −2.82741 | − | 6.19117i | −0.0916852 | − | 0.200763i | ||||
\(952\) | −1.13728 | − | 1.31249i | −0.0368594 | − | 0.0425380i | ||||
\(953\) | −5.67873 | − | 3.64950i | −0.183952 | − | 0.118219i | 0.445424 | − | 0.895320i | \(-0.353053\pi\) |
−0.629376 | + | 0.777101i | \(0.716689\pi\) | |||||||
\(954\) | 1.40257 | − | 9.75508i | 0.0454098 | − | 0.315832i | ||||
\(955\) | 2.82028 | − | 19.6155i | 0.0912620 | − | 0.634741i | ||||
\(956\) | −5.87324 | − | 3.77450i | −0.189954 | − | 0.122076i | ||||
\(957\) | 3.81160 | + | 4.39883i | 0.123212 | + | 0.142194i | ||||
\(958\) | −6.76478 | − | 14.8128i | −0.218560 | − | 0.478580i | ||||
\(959\) | −4.37515 | + | 2.81174i | −0.141281 | + | 0.0907957i | ||||
\(960\) | 0.959493 | + | 0.281733i | 0.0309675 | + | 0.00909288i | ||||
\(961\) | 13.6770 | − | 15.7841i | 0.441193 | − | 0.509164i | ||||
\(962\) | −1.04431 | + | 0.306638i | −0.0336700 | + | 0.00988639i | ||||
\(963\) | −7.89121 | + | 17.2793i | −0.254291 | + | 0.556819i | ||||
\(964\) | 0.413617 | + | 2.87677i | 0.0133217 | + | 0.0926546i | ||||
\(965\) | −14.6950 | −0.473048 | ||||||||
\(966\) | −0.160868 | − | 1.17617i | −0.00517584 | − | 0.0378427i | ||||
\(967\) | 12.8606 | 0.413570 | 0.206785 | − | 0.978386i | \(-0.433700\pi\) | ||||
0.206785 | + | 0.978386i | \(0.433700\pi\) | |||||||
\(968\) | −1.48347 | − | 10.3177i | −0.0476804 | − | 0.331624i | ||||
\(969\) | 23.3900 | − | 51.2169i | 0.751394 | − | 1.64532i | ||||
\(970\) | −11.1920 | + | 3.28627i | −0.359353 | + | 0.105516i | ||||
\(971\) | 14.7941 | − | 17.0733i | 0.474765 | − | 0.547908i | −0.466966 | − | 0.884275i | \(-0.654653\pi\) |
0.941731 | + | 0.336368i | \(0.109198\pi\) | |||||||
\(972\) | −0.959493 | − | 0.281733i | −0.0307758 | − | 0.00903658i | ||||
\(973\) | 2.13811 | − | 1.37408i | 0.0685448 | − | 0.0440511i | ||||
\(974\) | 7.13739 | + | 15.6287i | 0.228697 | + | 0.500776i | ||||
\(975\) | 1.90802 | + | 2.20197i | 0.0611054 | + | 0.0705194i | ||||
\(976\) | 2.61596 | + | 1.68118i | 0.0837349 | + | 0.0538131i | ||||
\(977\) | 3.45157 | − | 24.0062i | 0.110425 | − | 0.768026i | −0.857081 | − | 0.515181i | \(-0.827725\pi\) |
0.967507 | − | 0.252845i | \(-0.0813662\pi\) | |||||||
\(978\) | −1.40661 | + | 9.78316i | −0.0449783 | + | 0.312831i | ||||
\(979\) | 1.68616 | + | 1.08363i | 0.0538899 | + | 0.0346329i | ||||
\(980\) | −4.54390 | − | 5.24394i | −0.145150 | − | 0.167512i | ||||
\(981\) | 3.24113 | + | 7.09708i | 0.103481 | + | 0.226592i | ||||
\(982\) | −11.4236 | + | 7.34148i | −0.364541 | + | 0.234276i | ||||
\(983\) | 3.79173 | + | 1.11335i | 0.120937 | + | 0.0355104i | 0.341641 | − | 0.939830i | \(-0.389017\pi\) |
−0.220704 | + | 0.975341i | \(0.570835\pi\) | |||||||
\(984\) | −8.38273 | + | 9.67418i | −0.267232 | + | 0.308402i | ||||
\(985\) | −10.8084 | + | 3.17363i | −0.344384 | + | 0.101120i | ||||
\(986\) | 22.3487 | − | 48.9367i | 0.711726 | − | 1.55846i | ||||
\(987\) | 0.122633 | + | 0.852931i | 0.00390345 | + | 0.0271491i | ||||
\(988\) | 23.3827 | 0.743902 | ||||||||
\(989\) | 14.5966 | + | 9.52299i | 0.464144 | + | 0.302813i | ||||
\(990\) | −0.759060 | −0.0241245 | ||||||||
\(991\) | 6.37800 | + | 44.3600i | 0.202604 | + | 1.40914i | 0.796519 | + | 0.604613i | \(0.206672\pi\) |
−0.593915 | + | 0.804528i | \(0.702419\pi\) | |||||||
\(992\) | 1.32117 | − | 2.89295i | 0.0419471 | − | 0.0918513i | ||||
\(993\) | 15.3664 | − | 4.51198i | 0.487637 | − | 0.143183i | ||||
\(994\) | −0.592210 | + | 0.683447i | −0.0187838 | + | 0.0216776i | ||||
\(995\) | 13.0395 | + | 3.82876i | 0.413381 | + | 0.121380i | ||||
\(996\) | −9.28469 | + | 5.96691i | −0.294197 | + | 0.189069i | ||||
\(997\) | 18.0137 | + | 39.4446i | 0.570501 | + | 1.24922i | 0.946530 | + | 0.322615i | \(0.104562\pi\) |
−0.376029 | + | 0.926608i | \(0.622711\pi\) | |||||||
\(998\) | 3.96183 | + | 4.57220i | 0.125410 | + | 0.144730i | ||||
\(999\) | 0.314255 | + | 0.201959i | 0.00994259 | + | 0.00638971i |
(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 | 690.2.m.h.601.2 | yes | 30 | |
23.8 | even | 11 | inner | 690.2.m.h.31.2 | ✓ | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.m.h.31.2 | ✓ | 30 | 23.8 | even | 11 | inner | |
690.2.m.h.601.2 | yes | 30 | 1.1 | even | 1 | trivial |