Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [27,4,Mod(4,27)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(27, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("27.4");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 27 = 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 27.e (of order \(9\), degree \(6\), 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: | \(1.59305157015\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 7.8 | ||
Character | \(\chi\) | \(=\) | 27.7 |
Dual form | 27.4.e.a.4.8 |
$q$-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 \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 4.06758 | − | 1.48048i | 1.43811 | − | 0.523428i | 0.498864 | − | 0.866680i | \(-0.333751\pi\) |
0.939243 | + | 0.343252i | \(0.111528\pi\) | |||||||
\(3\) | −1.65472 | + | 4.92564i | −0.318450 | + | 0.947940i | ||||
\(4\) | 8.22505 | − | 6.90164i | 1.02813 | − | 0.862704i | ||||
\(5\) | −0.745703 | − | 4.22909i | −0.0666977 | − | 0.378261i | −0.999825 | − | 0.0187148i | \(-0.994043\pi\) |
0.933127 | − | 0.359546i | \(-0.117069\pi\) | |||||||
\(6\) | 0.561612 | + | 22.4852i | 0.0382128 | + | 1.52992i | ||||
\(7\) | −15.6540 | − | 13.1353i | −0.845237 | − | 0.709238i | 0.113498 | − | 0.993538i | \(-0.463794\pi\) |
−0.958735 | + | 0.284300i | \(0.908239\pi\) | |||||||
\(8\) | 5.92381 | − | 10.2603i | 0.261798 | − | 0.453447i | ||||
\(9\) | −21.5238 | − | 16.3011i | −0.797179 | − | 0.603743i | ||||
\(10\) | −9.29428 | − | 16.0982i | −0.293911 | − | 0.509069i | ||||
\(11\) | −4.83329 | + | 27.4110i | −0.132481 | + | 0.751338i | 0.844100 | + | 0.536187i | \(0.180136\pi\) |
−0.976581 | + | 0.215151i | \(0.930975\pi\) | |||||||
\(12\) | 20.3848 | + | 51.9339i | 0.490383 | + | 1.24933i | ||||
\(13\) | 84.9810 | + | 30.9306i | 1.81304 | + | 0.659892i | 0.996594 | + | 0.0824678i | \(0.0262802\pi\) |
0.816444 | + | 0.577424i | \(0.195942\pi\) | |||||||
\(14\) | −83.1204 | − | 30.2534i | −1.58678 | − | 0.577539i | ||||
\(15\) | 22.0649 | + | 3.32488i | 0.379809 | + | 0.0572320i | ||||
\(16\) | −6.01037 | + | 34.0865i | −0.0939120 | + | 0.532601i | ||||
\(17\) | −37.8692 | − | 65.5913i | −0.540272 | − | 0.935778i | −0.998888 | − | 0.0471436i | \(-0.984988\pi\) |
0.458616 | − | 0.888634i | \(-0.348345\pi\) | |||||||
\(18\) | −111.683 | − | 34.4403i | −1.46245 | − | 0.450981i | ||||
\(19\) | 32.9713 | − | 57.1079i | 0.398112 | − | 0.689551i | −0.595381 | − | 0.803444i | \(-0.702999\pi\) |
0.993493 | + | 0.113893i | \(0.0363321\pi\) | |||||||
\(20\) | −35.3211 | − | 29.6379i | −0.394902 | − | 0.331362i | ||||
\(21\) | 90.6025 | − | 55.3708i | 0.941480 | − | 0.575376i | ||||
\(22\) | 20.9215 | + | 118.652i | 0.202749 | + | 1.14985i | ||||
\(23\) | −109.710 | + | 92.0573i | −0.994611 | + | 0.834577i | −0.986229 | − | 0.165387i | \(-0.947113\pi\) |
−0.00838198 | + | 0.999965i | \(0.502668\pi\) | |||||||
\(24\) | 40.7365 | + | 46.1565i | 0.346471 | + | 0.392569i | ||||
\(25\) | 100.132 | − | 36.4452i | 0.801060 | − | 0.291562i | ||||
\(26\) | 391.459 | 2.95275 | ||||||||
\(27\) | 115.909 | − | 79.0450i | 0.826174 | − | 0.563415i | ||||
\(28\) | −219.410 | −1.48088 | ||||||||
\(29\) | 17.6998 | − | 6.44220i | 0.113337 | − | 0.0412512i | −0.284729 | − | 0.958608i | \(-0.591904\pi\) |
0.398066 | + | 0.917357i | \(0.369681\pi\) | |||||||
\(30\) | 94.6732 | − | 19.1424i | 0.576163 | − | 0.116497i | ||||
\(31\) | −26.2997 | + | 22.0680i | −0.152373 | + | 0.127856i | −0.715787 | − | 0.698318i | \(-0.753932\pi\) |
0.563414 | + | 0.826174i | \(0.309487\pi\) | |||||||
\(32\) | 42.4752 | + | 240.889i | 0.234645 | + | 1.33074i | ||||
\(33\) | −127.019 | − | 69.1644i | −0.670034 | − | 0.364848i | ||||
\(34\) | −251.142 | − | 210.733i | −1.26678 | − | 1.06296i | ||||
\(35\) | −43.8770 | + | 75.9972i | −0.211902 | + | 0.367025i | ||||
\(36\) | −289.539 | + | 14.4726i | −1.34046 | + | 0.0670028i | ||||
\(37\) | −62.6156 | − | 108.453i | −0.278215 | − | 0.481882i | 0.692727 | − | 0.721200i | \(-0.256409\pi\) |
−0.970941 | + | 0.239319i | \(0.923076\pi\) | |||||||
\(38\) | 49.5663 | − | 281.104i | 0.211598 | − | 1.20003i | ||||
\(39\) | −292.972 | + | 367.405i | −1.20290 | + | 1.50851i | ||||
\(40\) | −47.8093 | − | 17.4012i | −0.188983 | − | 0.0687842i | ||||
\(41\) | 54.4086 | + | 19.8031i | 0.207249 | + | 0.0754323i | 0.443558 | − | 0.896245i | \(-0.353716\pi\) |
−0.236310 | + | 0.971678i | \(0.575938\pi\) | |||||||
\(42\) | 286.558 | − | 359.360i | 1.05278 | − | 1.32025i | ||||
\(43\) | −16.8203 | + | 95.3925i | −0.0596527 | + | 0.338307i | −0.999998 | − | 0.00191380i | \(-0.999391\pi\) |
0.940345 | + | 0.340221i | \(0.110502\pi\) | |||||||
\(44\) | 149.426 | + | 258.814i | 0.511975 | + | 0.886766i | ||||
\(45\) | −52.8883 | + | 103.182i | −0.175203 | + | 0.341810i | ||||
\(46\) | −309.964 | + | 536.874i | −0.993515 | + | 1.72082i | ||||
\(47\) | −80.7566 | − | 67.7629i | −0.250629 | − | 0.210303i | 0.508814 | − | 0.860876i | \(-0.330084\pi\) |
−0.759443 | + | 0.650574i | \(0.774528\pi\) | |||||||
\(48\) | −157.952 | − | 86.0083i | −0.474967 | − | 0.258630i | ||||
\(49\) | 12.9512 | + | 73.4501i | 0.0377587 | + | 0.214140i | ||||
\(50\) | 353.341 | − | 296.488i | 0.999398 | − | 0.838594i | ||||
\(51\) | 385.742 | − | 77.9948i | 1.05911 | − | 0.214146i | ||||
\(52\) | 912.445 | − | 332.103i | 2.43333 | − | 0.885661i | ||||
\(53\) | −603.869 | −1.56505 | −0.782527 | − | 0.622617i | \(-0.786069\pi\) | ||||
−0.782527 | + | 0.622617i | \(0.786069\pi\) | |||||||
\(54\) | 354.445 | − | 493.123i | 0.893219 | − | 1.24269i | ||||
\(55\) | 119.528 | 0.293038 | ||||||||
\(56\) | −227.504 | + | 82.8046i | −0.542883 | + | 0.197593i | ||||
\(57\) | 226.735 | + | 256.902i | 0.526873 | + | 0.596974i | ||||
\(58\) | 62.4578 | − | 52.4083i | 0.141399 | − | 0.118647i | ||||
\(59\) | 72.3080 | + | 410.079i | 0.159554 | + | 0.904877i | 0.954503 | + | 0.298201i | \(0.0963865\pi\) |
−0.794949 | + | 0.606676i | \(0.792502\pi\) | |||||||
\(60\) | 204.432 | − | 124.937i | 0.439867 | − | 0.268821i | ||||
\(61\) | −413.853 | − | 347.264i | −0.868663 | − | 0.728895i | 0.0951531 | − | 0.995463i | \(-0.469666\pi\) |
−0.963816 | + | 0.266568i | \(0.914110\pi\) | |||||||
\(62\) | −74.3048 | + | 128.700i | −0.152205 | + | 0.263627i | ||||
\(63\) | 122.815 | + | 537.898i | 0.245608 | + | 1.07570i | ||||
\(64\) | 390.953 | + | 677.150i | 0.763580 | + | 1.32256i | ||||
\(65\) | 67.4376 | − | 382.457i | 0.128686 | − | 0.729815i | ||||
\(66\) | −619.056 | − | 93.2833i | −1.15455 | − | 0.173975i | ||||
\(67\) | 57.3195 | + | 20.8626i | 0.104518 | + | 0.0380414i | 0.393750 | − | 0.919218i | \(-0.371178\pi\) |
−0.289232 | + | 0.957259i | \(0.593400\pi\) | |||||||
\(68\) | −764.163 | − | 278.133i | −1.36277 | − | 0.496008i | ||||
\(69\) | −271.903 | − | 692.719i | −0.474395 | − | 1.20860i | ||||
\(70\) | −65.9611 | + | 374.084i | −0.112626 | + | 0.638737i | ||||
\(71\) | −50.1993 | − | 86.9478i | −0.0839094 | − | 0.145335i | 0.821017 | − | 0.570904i | \(-0.193407\pi\) |
−0.904926 | + | 0.425569i | \(0.860074\pi\) | |||||||
\(72\) | −294.758 | + | 124.277i | −0.482466 | + | 0.203420i | ||||
\(73\) | 277.621 | − | 480.854i | 0.445111 | − | 0.770955i | −0.552949 | − | 0.833215i | \(-0.686497\pi\) |
0.998060 | + | 0.0622601i | \(0.0198308\pi\) | |||||||
\(74\) | −415.257 | − | 348.442i | −0.652333 | − | 0.547372i | ||||
\(75\) | 13.8253 | + | 553.523i | 0.0212854 | + | 0.852204i | ||||
\(76\) | −122.948 | − | 697.271i | −0.185567 | − | 1.05240i | ||||
\(77\) | 435.711 | − | 365.605i | 0.644855 | − | 0.541098i | ||||
\(78\) | −647.754 | + | 1928.19i | −0.940304 | + | 2.79903i | ||||
\(79\) | 297.594 | − | 108.315i | 0.423821 | − | 0.154258i | −0.121299 | − | 0.992616i | \(-0.538706\pi\) |
0.545121 | + | 0.838358i | \(0.316484\pi\) | |||||||
\(80\) | 148.637 | 0.207726 | ||||||||
\(81\) | 197.551 | + | 701.723i | 0.270989 | + | 0.962583i | ||||
\(82\) | 250.629 | 0.337529 | ||||||||
\(83\) | 363.168 | − | 132.182i | 0.480276 | − | 0.174806i | −0.0905258 | − | 0.995894i | \(-0.528855\pi\) |
0.570802 | + | 0.821088i | \(0.306633\pi\) | |||||||
\(84\) | 363.061 | − | 1080.73i | 0.471586 | − | 1.40378i | ||||
\(85\) | −249.152 | + | 209.064i | −0.317934 | + | 0.266778i | ||||
\(86\) | 72.8087 | + | 412.919i | 0.0912926 | + | 0.517746i | ||||
\(87\) | 2.44381 | + | 97.8428i | 0.00301154 | + | 0.120573i | ||||
\(88\) | 252.614 | + | 211.969i | 0.306009 | + | 0.256772i | ||||
\(89\) | 566.411 | − | 981.053i | 0.674601 | − | 1.16844i | −0.301984 | − | 0.953313i | \(-0.597649\pi\) |
0.976585 | − | 0.215130i | \(-0.0690177\pi\) | |||||||
\(90\) | −62.3687 | + | 498.001i | −0.0730471 | + | 0.583266i | ||||
\(91\) | −924.012 | − | 1600.44i | −1.06443 | − | 1.84364i | ||||
\(92\) | −267.021 | + | 1514.35i | −0.302596 | + | 1.71611i | ||||
\(93\) | −65.1807 | − | 166.059i | −0.0726766 | − | 0.185156i | ||||
\(94\) | −428.806 | − | 156.072i | −0.470510 | − | 0.171252i | ||||
\(95\) | −266.101 | − | 96.8530i | −0.287383 | − | 0.104599i | ||||
\(96\) | −1256.82 | − | 189.385i | −1.33618 | − | 0.201344i | ||||
\(97\) | −194.560 | + | 1103.40i | −0.203655 | + | 1.15499i | 0.695886 | + | 0.718152i | \(0.255012\pi\) |
−0.899542 | + | 0.436835i | \(0.856099\pi\) | |||||||
\(98\) | 161.421 | + | 279.590i | 0.166388 | + | 0.288193i | ||||
\(99\) | 550.859 | − | 511.201i | 0.559226 | − | 0.518966i | ||||
\(100\) | 572.063 | − | 990.841i | 0.572063 | − | 0.990841i | ||||
\(101\) | 1215.42 | + | 1019.86i | 1.19741 | + | 1.00475i | 0.999700 | + | 0.0244867i | \(0.00779513\pi\) |
0.197711 | + | 0.980260i | \(0.436649\pi\) | |||||||
\(102\) | 1453.57 | − | 888.333i | 1.41102 | − | 0.862334i | ||||
\(103\) | 177.305 | + | 1005.55i | 0.169616 | + | 0.961938i | 0.944177 | + | 0.329439i | \(0.106860\pi\) |
−0.774561 | + | 0.632499i | \(0.782029\pi\) | |||||||
\(104\) | 820.770 | − | 688.708i | 0.773876 | − | 0.649359i | ||||
\(105\) | −301.731 | − | 341.876i | −0.280437 | − | 0.317749i | ||||
\(106\) | −2456.29 | + | 894.016i | −2.25071 | + | 0.819193i | ||||
\(107\) | −1325.51 | −1.19759 | −0.598796 | − | 0.800902i | \(-0.704354\pi\) | ||||
−0.598796 | + | 0.800902i | \(0.704354\pi\) | |||||||
\(108\) | 407.817 | − | 1450.11i | 0.363354 | − | 1.29201i | ||||
\(109\) | 860.346 | 0.756020 | 0.378010 | − | 0.925801i | \(-0.376608\pi\) | ||||
0.378010 | + | 0.925801i | \(0.376608\pi\) | |||||||
\(110\) | 486.188 | − | 176.958i | 0.421420 | − | 0.153385i | ||||
\(111\) | 637.813 | − | 128.962i | 0.545392 | − | 0.110275i | ||||
\(112\) | 541.821 | − | 454.642i | 0.457119 | − | 0.383568i | ||||
\(113\) | 24.2841 | + | 137.722i | 0.0202165 | + | 0.114653i | 0.993246 | − | 0.116027i | \(-0.0370160\pi\) |
−0.973030 | + | 0.230680i | \(0.925905\pi\) | |||||||
\(114\) | 1302.60 | + | 709.294i | 1.07017 | + | 0.582732i | ||||
\(115\) | 471.129 | + | 395.325i | 0.382027 | + | 0.320558i | ||||
\(116\) | 101.120 | − | 175.145i | 0.0809375 | − | 0.140188i | ||||
\(117\) | −1324.92 | − | 2051.03i | −1.04691 | − | 1.62066i | ||||
\(118\) | 901.232 | + | 1560.98i | 0.703094 | + | 1.21780i | ||||
\(119\) | −268.755 | + | 1524.19i | −0.207032 | + | 1.17414i | ||||
\(120\) | 164.823 | − | 206.697i | 0.125385 | − | 0.157240i | ||||
\(121\) | 522.730 | + | 190.258i | 0.392735 | + | 0.142944i | ||||
\(122\) | −2197.50 | − | 799.824i | −1.63075 | − | 0.593546i | ||||
\(123\) | −187.574 | + | 235.228i | −0.137504 | + | 0.172438i | ||||
\(124\) | −64.0105 | + | 363.021i | −0.0463573 | + | 0.262905i | ||||
\(125\) | −497.195 | − | 861.167i | −0.355764 | − | 0.616201i | ||||
\(126\) | 1295.91 | + | 2006.12i | 0.916259 | + | 1.41841i | ||||
\(127\) | −588.559 | + | 1019.41i | −0.411229 | + | 0.712270i | −0.995024 | − | 0.0996308i | \(-0.968234\pi\) |
0.583795 | + | 0.811901i | \(0.301567\pi\) | |||||||
\(128\) | 1093.71 | + | 917.734i | 0.755246 | + | 0.633727i | ||||
\(129\) | −442.036 | − | 240.698i | −0.301698 | − | 0.164281i | ||||
\(130\) | −291.912 | − | 1655.52i | −0.196942 | − | 1.11691i | ||||
\(131\) | 1301.88 | − | 1092.41i | 0.868289 | − | 0.728581i | −0.0954484 | − | 0.995434i | \(-0.530429\pi\) |
0.963737 | + | 0.266854i | \(0.0859841\pi\) | |||||||
\(132\) | −1522.08 | + | 307.757i | −1.00364 | + | 0.202930i | ||||
\(133\) | −1266.26 | + | 460.881i | −0.825554 | + | 0.300477i | ||||
\(134\) | 264.038 | 0.170220 | ||||||||
\(135\) | −420.722 | − | 431.245i | −0.268222 | − | 0.274931i | ||||
\(136\) | −897.319 | −0.565768 | ||||||||
\(137\) | −1270.95 | + | 462.589i | −0.792589 | + | 0.288479i | −0.706412 | − | 0.707801i | \(-0.749687\pi\) |
−0.0861773 | + | 0.996280i | \(0.527465\pi\) | |||||||
\(138\) | −2131.54 | − | 2415.14i | −1.31485 | − | 1.48979i | ||||
\(139\) | −559.784 | + | 469.715i | −0.341585 | + | 0.286624i | −0.797400 | − | 0.603451i | \(-0.793792\pi\) |
0.455816 | + | 0.890074i | \(0.349348\pi\) | |||||||
\(140\) | 163.614 | + | 927.904i | 0.0987710 | + | 0.560158i | ||||
\(141\) | 467.405 | − | 285.650i | 0.279167 | − | 0.170610i | ||||
\(142\) | −332.914 | − | 279.348i | −0.196743 | − | 0.165087i | ||||
\(143\) | −1258.57 | + | 2179.92i | −0.735995 | + | 1.27478i | ||||
\(144\) | 685.012 | − | 635.696i | 0.396419 | − | 0.367880i | ||||
\(145\) | −40.4434 | − | 70.0501i | −0.0231631 | − | 0.0401196i | ||||
\(146\) | 417.353 | − | 2366.93i | 0.236578 | − | 1.34170i | ||||
\(147\) | −383.219 | − | 57.7459i | −0.215016 | − | 0.0324000i | ||||
\(148\) | −1263.52 | − | 459.884i | −0.701763 | − | 0.255421i | ||||
\(149\) | 1396.75 | + | 508.374i | 0.767959 | + | 0.279514i | 0.696142 | − | 0.717904i | \(-0.254898\pi\) |
0.0718164 | + | 0.997418i | \(0.477120\pi\) | |||||||
\(150\) | 875.714 | + | 2231.03i | 0.476678 | + | 1.21442i | ||||
\(151\) | 544.061 | − | 3085.52i | 0.293212 | − | 1.66289i | −0.381168 | − | 0.924506i | \(-0.624478\pi\) |
0.674381 | − | 0.738384i | \(-0.264411\pi\) | |||||||
\(152\) | −390.631 | − | 676.594i | −0.208450 | − | 0.361046i | ||||
\(153\) | −254.119 | + | 2029.08i | −0.134276 | + | 1.07217i | ||||
\(154\) | 1231.02 | − | 2132.19i | 0.644145 | − | 1.11569i | ||||
\(155\) | 112.939 | + | 94.7674i | 0.0585259 | + | 0.0491091i | ||||
\(156\) | 125.981 | + | 5043.91i | 0.0646576 | + | 2.58869i | ||||
\(157\) | 30.6204 | + | 173.657i | 0.0155655 | + | 0.0882761i | 0.991601 | − | 0.129336i | \(-0.0412845\pi\) |
−0.976035 | + | 0.217612i | \(0.930173\pi\) | |||||||
\(158\) | 1050.13 | − | 881.162i | 0.528757 | − | 0.443680i | ||||
\(159\) | 999.232 | − | 2974.44i | 0.498392 | − | 1.48358i | ||||
\(160\) | 987.067 | − | 359.263i | 0.487715 | − | 0.177514i | ||||
\(161\) | 2926.59 | 1.43260 | ||||||||
\(162\) | 1842.44 | + | 2561.84i | 0.893554 | + | 1.24245i | ||||
\(163\) | 751.835 | 0.361278 | 0.180639 | − | 0.983549i | \(-0.442183\pi\) | ||||
0.180639 | + | 0.983549i | \(0.442183\pi\) | |||||||
\(164\) | 584.187 | − | 212.627i | 0.278154 | − | 0.101240i | ||||
\(165\) | −197.784 | + | 588.750i | −0.0933181 | + | 0.277783i | ||||
\(166\) | 1281.52 | − | 1075.33i | 0.599190 | − | 0.502780i | ||||
\(167\) | 94.7870 | + | 537.564i | 0.0439212 | + | 0.249089i | 0.998861 | − | 0.0477092i | \(-0.0151921\pi\) |
−0.954940 | + | 0.296799i | \(0.904081\pi\) | |||||||
\(168\) | −31.4115 | − | 1257.62i | −0.0144253 | − | 0.577544i | ||||
\(169\) | 4582.08 | + | 3844.82i | 2.08561 | + | 1.75003i | ||||
\(170\) | −703.933 | + | 1219.25i | −0.317584 | + | 0.550071i | ||||
\(171\) | −1640.59 | + | 691.715i | −0.733678 | + | 0.309338i | ||||
\(172\) | 520.017 | + | 900.695i | 0.230528 | + | 0.399287i | ||||
\(173\) | 373.013 | − | 2115.46i | 0.163929 | − | 0.929685i | −0.786234 | − | 0.617929i | \(-0.787972\pi\) |
0.950162 | − | 0.311756i | \(-0.100917\pi\) | |||||||
\(174\) | 154.795 | + | 394.366i | 0.0674422 | + | 0.171821i | ||||
\(175\) | −2046.19 | − | 744.753i | −0.883872 | − | 0.321703i | ||||
\(176\) | −905.293 | − | 329.500i | −0.387722 | − | 0.141119i | ||||
\(177\) | −2139.55 | − | 322.401i | −0.908579 | − | 0.136911i | ||||
\(178\) | 851.496 | − | 4829.08i | 0.358552 | − | 2.03345i | ||||
\(179\) | −1061.43 | − | 1838.46i | −0.443213 | − | 0.767668i | 0.554712 | − | 0.832042i | \(-0.312828\pi\) |
−0.997926 | + | 0.0643740i | \(0.979495\pi\) | |||||||
\(180\) | 277.116 | + | 1213.69i | 0.114750 | + | 0.502574i | ||||
\(181\) | −1739.32 | + | 3012.59i | −0.714269 | + | 1.23715i | 0.248972 | + | 0.968511i | \(0.419907\pi\) |
−0.963241 | + | 0.268639i | \(0.913426\pi\) | |||||||
\(182\) | −6127.91 | − | 5141.92i | −2.49577 | − | 2.09420i | ||||
\(183\) | 2395.31 | − | 1463.87i | 0.967574 | − | 0.591323i | ||||
\(184\) | 294.641 | + | 1670.99i | 0.118050 | + | 0.669494i | ||||
\(185\) | −411.967 | + | 345.681i | −0.163721 | + | 0.137378i | ||||
\(186\) | −510.975 | − | 578.960i | −0.201433 | − | 0.228233i | ||||
\(187\) | 1980.95 | − | 721.008i | 0.774661 | − | 0.281954i | ||||
\(188\) | −1131.90 | −0.439109 | ||||||||
\(189\) | −2852.72 | − | 285.125i | −1.09791 | − | 0.109734i | ||||
\(190\) | −1225.78 | −0.468038 | ||||||||
\(191\) | −1841.41 | + | 670.219i | −0.697591 | + | 0.253902i | −0.666382 | − | 0.745611i | \(-0.732158\pi\) |
−0.0312090 | + | 0.999513i | \(0.509936\pi\) | |||||||
\(192\) | −3982.31 | + | 805.201i | −1.49687 | + | 0.302658i | ||||
\(193\) | −3095.46 | + | 2597.40i | −1.15449 | + | 0.968731i | −0.999815 | − | 0.0192349i | \(-0.993877\pi\) |
−0.154673 | + | 0.987966i | \(0.549433\pi\) | |||||||
\(194\) | 842.178 | + | 4776.23i | 0.311675 | + | 1.76759i | ||||
\(195\) | 1772.26 | + | 965.031i | 0.650841 | + | 0.354397i | ||||
\(196\) | 613.450 | + | 514.746i | 0.223561 | + | 0.187590i | ||||
\(197\) | −432.661 | + | 749.391i | −0.156476 | + | 0.271025i | −0.933596 | − | 0.358328i | \(-0.883347\pi\) |
0.777119 | + | 0.629353i | \(0.216680\pi\) | |||||||
\(198\) | 1483.84 | − | 2894.89i | 0.532586 | − | 1.03904i | ||||
\(199\) | −1079.38 | − | 1869.54i | −0.384499 | − | 0.665971i | 0.607201 | − | 0.794548i | \(-0.292292\pi\) |
−0.991700 | + | 0.128577i | \(0.958959\pi\) | |||||||
\(200\) | 219.225 | − | 1243.29i | 0.0775078 | − | 0.439569i | ||||
\(201\) | −197.609 | + | 247.814i | −0.0693446 | + | 0.0869623i | ||||
\(202\) | 6453.68 | + | 2348.95i | 2.24792 | + | 0.818175i | ||||
\(203\) | −361.693 | − | 131.645i | −0.125053 | − | 0.0455157i | ||||
\(204\) | 2634.45 | − | 3303.76i | 0.904160 | − | 1.13387i | ||||
\(205\) | 43.1765 | − | 244.866i | 0.0147101 | − | 0.0834252i | ||||
\(206\) | 2209.90 | + | 3827.65i | 0.747431 | + | 1.29459i | ||||
\(207\) | 3862.00 | − | 193.043i | 1.29675 | − | 0.0648183i | ||||
\(208\) | −1565.08 | + | 2710.80i | −0.521725 | + | 0.903655i | ||||
\(209\) | 1406.02 | + | 1179.79i | 0.465343 | + | 0.390469i | ||||
\(210\) | −1733.45 | − | 943.903i | −0.569618 | − | 0.310169i | ||||
\(211\) | −497.639 | − | 2822.25i | −0.162364 | − | 0.920814i | −0.951740 | − | 0.306904i | \(-0.900707\pi\) |
0.789376 | − | 0.613910i | \(-0.210404\pi\) | |||||||
\(212\) | −4966.85 | + | 4167.69i | −1.60908 | + | 1.35018i | ||||
\(213\) | 511.339 | − | 103.390i | 0.164490 | − | 0.0332590i | ||||
\(214\) | −5391.64 | + | 1962.40i | −1.72227 | + | 0.626853i | ||||
\(215\) | 415.966 | 0.131947 | ||||||||
\(216\) | −124.406 | − | 1657.51i | −0.0391886 | − | 0.522127i | ||||
\(217\) | 701.565 | 0.219471 | ||||||||
\(218\) | 3499.53 | − | 1273.72i | 1.08724 | − | 0.395722i | ||||
\(219\) | 1909.13 | + | 2163.14i | 0.589073 | + | 0.667449i | ||||
\(220\) | 983.121 | − | 824.936i | 0.301282 | − | 0.252805i | ||||
\(221\) | −1189.38 | − | 6745.33i | −0.362021 | − | 2.05312i | ||||
\(222\) | 2403.43 | − | 1468.83i | 0.726612 | − | 0.444061i | ||||
\(223\) | −3842.06 | − | 3223.87i | −1.15374 | − | 0.968101i | −0.153937 | − | 0.988081i | \(-0.549195\pi\) |
−0.999800 | + | 0.0199798i | \(0.993640\pi\) | |||||||
\(224\) | 2499.23 | − | 4328.80i | 0.745478 | − | 1.29121i | ||||
\(225\) | −2749.33 | − | 847.824i | −0.814616 | − | 0.251207i | ||||
\(226\) | 302.672 | + | 524.244i | 0.0890862 | + | 0.154302i | ||||
\(227\) | −422.074 | + | 2393.70i | −0.123410 | + | 0.699893i | 0.858830 | + | 0.512261i | \(0.171192\pi\) |
−0.982240 | + | 0.187631i | \(0.939919\pi\) | |||||||
\(228\) | 3637.95 | + | 548.190i | 1.05671 | + | 0.159231i | ||||
\(229\) | −1146.21 | − | 417.187i | −0.330759 | − | 0.120386i | 0.171302 | − | 0.985219i | \(-0.445203\pi\) |
−0.502061 | + | 0.864832i | \(0.667425\pi\) | |||||||
\(230\) | 2501.63 | + | 910.518i | 0.717184 | + | 0.261034i | ||||
\(231\) | 1079.86 | + | 2751.13i | 0.307574 | + | 0.783597i | ||||
\(232\) | 38.7511 | − | 219.768i | 0.0109661 | − | 0.0621918i | ||||
\(233\) | 2692.95 | + | 4664.33i | 0.757173 | + | 1.31146i | 0.944287 | + | 0.329124i | \(0.106753\pi\) |
−0.187114 | + | 0.982338i | \(0.559913\pi\) | |||||||
\(234\) | −8425.70 | − | 6381.20i | −2.35387 | − | 1.78270i | ||||
\(235\) | −226.355 | + | 392.058i | −0.0628330 | + | 0.108830i | ||||
\(236\) | 3424.95 | + | 2873.88i | 0.944684 | + | 0.792684i | ||||
\(237\) | 41.0888 | + | 1645.07i | 0.0112616 | + | 0.450881i | ||||
\(238\) | 1163.34 | + | 6597.65i | 0.316842 | + | 1.79690i | ||||
\(239\) | 2129.60 | − | 1786.95i | 0.576371 | − | 0.483633i | −0.307382 | − | 0.951586i | \(-0.599453\pi\) |
0.883753 | + | 0.467954i | \(0.155009\pi\) | |||||||
\(240\) | −245.951 | + | 732.131i | −0.0661504 | + | 0.196912i | ||||
\(241\) | 2580.73 | − | 939.309i | 0.689790 | − | 0.251063i | 0.0267449 | − | 0.999642i | \(-0.491486\pi\) |
0.663045 | + | 0.748579i | \(0.269264\pi\) | |||||||
\(242\) | 2407.92 | 0.639616 | ||||||||
\(243\) | −3783.32 | − | 188.088i | −0.998766 | − | 0.0496538i | ||||
\(244\) | −5800.65 | −1.52192 | ||||||||
\(245\) | 300.969 | − | 109.544i | 0.0784825 | − | 0.0285653i | ||||
\(246\) | −414.720 | + | 1234.51i | −0.107486 | + | 0.319957i | ||||
\(247\) | 4568.31 | − | 3833.27i | 1.17682 | − | 0.987470i | ||||
\(248\) | 70.6314 | + | 400.571i | 0.0180851 | + | 0.102566i | ||||
\(249\) | 50.1427 | + | 2007.56i | 0.0127617 | + | 0.510940i | ||||
\(250\) | −3297.32 | − | 2766.78i | −0.834163 | − | 0.699946i | ||||
\(251\) | 3302.16 | − | 5719.51i | 0.830401 | − | 1.43830i | −0.0673196 | − | 0.997731i | \(-0.521445\pi\) |
0.897721 | − | 0.440565i | \(-0.145222\pi\) | |||||||
\(252\) | 4722.54 | + | 3576.61i | 1.18052 | + | 0.894069i | ||||
\(253\) | −1993.12 | − | 3452.19i | −0.495283 | − | 0.857855i | ||||
\(254\) | −884.790 | + | 5017.90i | −0.218570 | + | 1.23957i | ||||
\(255\) | −617.496 | − | 1573.18i | −0.151643 | − | 0.386337i | ||||
\(256\) | −70.5543 | − | 25.6797i | −0.0172252 | − | 0.00626945i | ||||
\(257\) | −224.196 | − | 81.6008i | −0.0544163 | − | 0.0198059i | 0.314669 | − | 0.949202i | \(-0.398107\pi\) |
−0.369085 | + | 0.929396i | \(0.620329\pi\) | |||||||
\(258\) | −2154.37 | − | 324.634i | −0.519864 | − | 0.0783365i | ||||
\(259\) | −444.380 | + | 2520.20i | −0.106612 | + | 0.604625i | ||||
\(260\) | −2084.90 | − | 3611.16i | −0.497309 | − | 0.861364i | ||||
\(261\) | −485.982 | − | 149.865i | −0.115255 | − | 0.0355417i | ||||
\(262\) | 3678.22 | − | 6370.86i | 0.867332 | − | 1.50226i | ||||
\(263\) | 198.264 | + | 166.363i | 0.0464847 | + | 0.0390053i | 0.665734 | − | 0.746189i | \(-0.268119\pi\) |
−0.619249 | + | 0.785194i | \(0.712563\pi\) | |||||||
\(264\) | −1462.09 | + | 893.540i | −0.340853 | + | 0.208309i | ||||
\(265\) | 450.307 | + | 2553.82i | 0.104385 | + | 0.591999i | ||||
\(266\) | −4468.29 | + | 3749.34i | −1.02996 | + | 0.864237i | ||||
\(267\) | 3895.06 | + | 4413.30i | 0.892787 | + | 1.01157i | ||||
\(268\) | 615.442 | − | 224.003i | 0.140276 | − | 0.0510565i | ||||
\(269\) | −1093.35 | −0.247816 | −0.123908 | − | 0.992294i | \(-0.539543\pi\) | ||||
−0.123908 | + | 0.992294i | \(0.539543\pi\) | |||||||
\(270\) | −2349.77 | − | 1131.26i | −0.529639 | − | 0.254985i | ||||
\(271\) | −948.590 | −0.212630 | −0.106315 | − | 0.994332i | \(-0.533905\pi\) | ||||
−0.106315 | + | 0.994332i | \(0.533905\pi\) | |||||||
\(272\) | 2463.38 | − | 896.598i | 0.549134 | − | 0.199869i | ||||
\(273\) | 9412.15 | − | 1903.08i | 2.08663 | − | 0.421904i | ||||
\(274\) | −4484.85 | + | 3763.23i | −0.988831 | + | 0.829727i | ||||
\(275\) | 515.030 | + | 2920.88i | 0.112936 | + | 0.640493i | ||||
\(276\) | −7017.31 | − | 3821.07i | −1.53041 | − | 0.833339i | ||||
\(277\) | −567.209 | − | 475.945i | −0.123034 | − | 0.103237i | 0.579195 | − | 0.815189i | \(-0.303367\pi\) |
−0.702228 | + | 0.711952i | \(0.747811\pi\) | |||||||
\(278\) | −1581.56 | + | 2739.35i | −0.341208 | + | 0.590990i | ||||
\(279\) | 925.802 | − | 46.2763i | 0.198661 | − | 0.00993006i | ||||
\(280\) | 519.838 | + | 900.386i | 0.110951 | + | 0.192173i | ||||
\(281\) | 563.337 | − | 3194.84i | 0.119594 | − | 0.678251i | −0.864779 | − | 0.502153i | \(-0.832541\pi\) |
0.984373 | − | 0.176098i | \(-0.0563474\pi\) | |||||||
\(282\) | 1478.31 | − | 1853.89i | 0.312170 | − | 0.391480i | ||||
\(283\) | 1534.20 | + | 558.402i | 0.322256 | + | 0.117292i | 0.498083 | − | 0.867129i | \(-0.334038\pi\) |
−0.175826 | + | 0.984421i | \(0.556260\pi\) | |||||||
\(284\) | −1012.97 | − | 368.692i | −0.211651 | − | 0.0770348i | ||||
\(285\) | 917.385 | − | 1150.46i | 0.190671 | − | 0.239113i | ||||
\(286\) | −1892.04 | + | 10730.3i | −0.391184 | + | 2.21851i | ||||
\(287\) | −591.593 | − | 1024.67i | −0.121675 | − | 0.210747i | ||||
\(288\) | 3012.51 | − | 5877.24i | 0.616369 | − | 1.20250i | ||||
\(289\) | −411.645 | + | 712.990i | −0.0837869 | + | 0.145123i | ||||
\(290\) | −268.215 | − | 225.059i | −0.0543107 | − | 0.0455721i | ||||
\(291\) | −5113.03 | − | 2784.15i | −1.03000 | − | 0.560859i | ||||
\(292\) | −1035.23 | − | 5871.09i | −0.207474 | − | 1.17664i | ||||
\(293\) | −4096.39 | + | 3437.28i | −0.816771 | + | 0.685352i | −0.952214 | − | 0.305433i | \(-0.901199\pi\) |
0.135443 | + | 0.990785i | \(0.456754\pi\) | |||||||
\(294\) | −1644.27 | + | 332.462i | −0.326175 | + | 0.0659509i | ||||
\(295\) | 1680.34 | − | 611.594i | 0.331638 | − | 0.120706i | ||||
\(296\) | −1483.69 | −0.291344 | ||||||||
\(297\) | 1606.48 | + | 3559.22i | 0.313863 | + | 0.695378i | ||||
\(298\) | 6434.01 | 1.25071 | ||||||||
\(299\) | −12170.6 | + | 4429.74i | −2.35400 | + | 0.856785i | ||||
\(300\) | 3933.93 | + | 4457.33i | 0.757084 | + | 0.857814i | ||||
\(301\) | 1516.31 | − | 1272.34i | 0.290361 | − | 0.243642i | ||||
\(302\) | −2355.04 | − | 13356.1i | −0.448733 | − | 2.54489i | ||||
\(303\) | −7034.61 | + | 4299.13i | −1.33376 | + | 0.815111i | ||||
\(304\) | 1748.44 | + | 1467.11i | 0.329868 | + | 0.276792i | ||||
\(305\) | −1160.00 | + | 2009.18i | −0.217775 | + | 0.377197i | ||||
\(306\) | 1970.37 | + | 8629.68i | 0.368099 | + | 1.61218i | ||||
\(307\) | 943.563 | + | 1634.30i | 0.175414 | + | 0.303825i | 0.940304 | − | 0.340335i | \(-0.110540\pi\) |
−0.764891 | + | 0.644160i | \(0.777207\pi\) | |||||||
\(308\) | 1060.47 | − | 6014.23i | 0.196188 | − | 1.11264i | ||||
\(309\) | −5246.36 | − | 790.555i | −0.965874 | − | 0.145544i | ||||
\(310\) | 599.692 | + | 218.270i | 0.109872 | + | 0.0399900i | ||||
\(311\) | −1806.45 | − | 657.493i | −0.329370 | − | 0.119881i | 0.172042 | − | 0.985090i | \(-0.444964\pi\) |
−0.501412 | + | 0.865209i | \(0.667186\pi\) | |||||||
\(312\) | 2034.18 | + | 5182.43i | 0.369112 | + | 0.940376i | ||||
\(313\) | −14.1198 | + | 80.0776i | −0.00254984 | + | 0.0144609i | −0.986056 | − | 0.166413i | \(-0.946781\pi\) |
0.983506 | + | 0.180874i | \(0.0578926\pi\) | |||||||
\(314\) | 381.647 | + | 661.032i | 0.0685910 | + | 0.118803i | ||||
\(315\) | 2183.24 | − | 920.509i | 0.390512 | − | 0.164650i | ||||
\(316\) | 1700.17 | − | 2944.78i | 0.302665 | − | 0.524230i | ||||
\(317\) | −1818.65 | − | 1526.03i | −0.322226 | − | 0.270380i | 0.467297 | − | 0.884100i | \(-0.345228\pi\) |
−0.789523 | + | 0.613721i | \(0.789672\pi\) | |||||||
\(318\) | −339.140 | − | 13578.1i | −0.0598051 | − | 2.39441i | ||||
\(319\) | 91.0386 | + | 516.306i | 0.0159786 | + | 0.0906193i | ||||
\(320\) | 2572.19 | − | 2158.33i | 0.449344 | − | 0.377044i | ||||
\(321\) | 2193.35 | − | 6529.00i | 0.381373 | − | 1.13524i | ||||
\(322\) | 11904.2 | − | 4332.76i | 2.06023 | − | 0.749861i | ||||
\(323\) | −4994.38 | −0.860355 | ||||||||
\(324\) | 6467.90 | + | 4408.28i | 1.10904 | + | 0.755878i | ||||
\(325\) | 9636.63 | 1.64475 | ||||||||
\(326\) | 3058.15 | − | 1113.08i | 0.519556 | − | 0.189103i | ||||
\(327\) | −1423.63 | + | 4237.75i | −0.240755 | + | 0.716661i | ||||
\(328\) | 525.493 | − | 440.941i | 0.0884618 | − | 0.0742283i | ||||
\(329\) | 374.081 | + | 2121.52i | 0.0626862 | + | 0.355511i | ||||
\(330\) | 67.1281 | + | 2687.60i | 0.0111978 | + | 0.448326i | ||||
\(331\) | −803.684 | − | 674.371i | −0.133458 | − | 0.111984i | 0.573615 | − | 0.819125i | \(-0.305540\pi\) |
−0.707073 | + | 0.707140i | \(0.749985\pi\) | |||||||
\(332\) | 2074.80 | − | 3593.66i | 0.342981 | − | 0.594060i | ||||
\(333\) | −420.178 | + | 3355.03i | −0.0691460 | + | 0.552116i | ||||
\(334\) | 1181.41 | + | 2046.25i | 0.193544 | + | 0.335228i | ||||
\(335\) | 45.4865 | − | 257.967i | 0.00741848 | − | 0.0420723i | ||||
\(336\) | 1342.84 | + | 3421.12i | 0.218030 | + | 0.555468i | ||||
\(337\) | −4433.91 | − | 1613.81i | −0.716708 | − | 0.260860i | −0.0421803 | − | 0.999110i | \(-0.513430\pi\) |
−0.674528 | + | 0.738250i | \(0.735653\pi\) | |||||||
\(338\) | 24330.1 | + | 8855.45i | 3.91534 | + | 1.42507i | ||||
\(339\) | −718.553 | − | 108.276i | −0.115122 | − | 0.0173474i | ||||
\(340\) | −606.409 | + | 3439.12i | −0.0967269 | + | 0.548566i | ||||
\(341\) | −477.792 | − | 827.561i | −0.0758765 | − | 0.131422i | ||||
\(342\) | −5649.16 | + | 5242.46i | −0.893192 | + | 0.828889i | ||||
\(343\) | −2742.53 | + | 4750.20i | −0.431728 | + | 0.747775i | ||||
\(344\) | 879.120 | + | 737.669i | 0.137788 | + | 0.115618i | ||||
\(345\) | −2726.81 | + | 1666.46i | −0.425526 | + | 0.260056i | ||||
\(346\) | −1614.63 | − | 9157.05i | −0.250877 | − | 1.42279i | ||||
\(347\) | 469.613 | − | 394.052i | 0.0726517 | − | 0.0609620i | −0.605739 | − | 0.795664i | \(-0.707122\pi\) |
0.678390 | + | 0.734702i | \(0.262678\pi\) | |||||||
\(348\) | 695.376 | + | 787.895i | 0.107115 | + | 0.121367i | ||||
\(349\) | −1251.81 | + | 455.622i | −0.192000 | + | 0.0698821i | −0.436230 | − | 0.899835i | \(-0.643687\pi\) |
0.244231 | + | 0.969717i | \(0.421465\pi\) | |||||||
\(350\) | −9425.64 | −1.43949 | ||||||||
\(351\) | 12295.0 | − | 3132.19i | 1.86968 | − | 0.476308i | ||||
\(352\) | −6808.29 | −1.03092 | ||||||||
\(353\) | 8349.42 | − | 3038.94i | 1.25891 | − | 0.458206i | 0.375506 | − | 0.926820i | \(-0.377469\pi\) |
0.883403 | + | 0.468614i | \(0.155247\pi\) | |||||||
\(354\) | −9180.11 | + | 1856.17i | −1.37830 | + | 0.278684i | ||||
\(355\) | −330.276 | + | 277.135i | −0.0493782 | + | 0.0414332i | ||||
\(356\) | −2112.11 | − | 11978.4i | −0.314443 | − | 1.78329i | ||||
\(357\) | −7062.88 | − | 3845.89i | −1.04708 | − | 0.570157i | ||||
\(358\) | −7039.26 | − | 5906.64i | −1.03921 | − | 0.871999i | ||||
\(359\) | −5829.25 | + | 10096.6i | −0.856980 | + | 1.48433i | 0.0178157 | + | 0.999841i | \(0.494329\pi\) |
−0.874796 | + | 0.484492i | \(0.839005\pi\) | |||||||
\(360\) | 745.382 | + | 1153.88i | 0.109125 | + | 0.168930i | ||||
\(361\) | 1255.29 | + | 2174.22i | 0.183013 | + | 0.316988i | ||||
\(362\) | −2614.75 | + | 14829.0i | −0.379636 | + | 2.15302i | ||||
\(363\) | −1802.11 | + | 2259.96i | −0.260569 | + | 0.326769i | ||||
\(364\) | −18645.7 | − | 6786.47i | −2.68489 | − | 0.977219i | ||||
\(365\) | −2240.60 | − | 815.511i | −0.321310 | − | 0.116947i | ||||
\(366\) | 7575.88 | − | 9500.60i | 1.08196 | − | 1.35684i | ||||
\(367\) | 168.433 | − | 955.230i | 0.0239567 | − | 0.135865i | −0.970484 | − | 0.241167i | \(-0.922470\pi\) |
0.994440 | + | 0.105302i | \(0.0335809\pi\) | |||||||
\(368\) | −2478.51 | − | 4292.91i | −0.351091 | − | 0.608108i | ||||
\(369\) | −848.269 | − | 1313.16i | −0.119672 | − | 0.185258i | ||||
\(370\) | −1163.93 | + | 2015.99i | −0.163541 | + | 0.283261i | ||||
\(371\) | 9452.97 | + | 7931.99i | 1.32284 | + | 1.11000i | ||||
\(372\) | −1682.19 | − | 915.989i | −0.234456 | − | 0.127666i | ||||
\(373\) | −1211.48 | − | 6870.64i | −0.168172 | − | 0.953749i | −0.945734 | − | 0.324943i | \(-0.894655\pi\) |
0.777562 | − | 0.628806i | \(-0.216456\pi\) | |||||||
\(374\) | 6990.25 | − | 5865.52i | 0.966464 | − | 0.810959i | ||||
\(375\) | 5064.51 | − | 1024.02i | 0.697414 | − | 0.141013i | ||||
\(376\) | −1173.66 | + | 427.176i | −0.160975 | + | 0.0585903i | ||||
\(377\) | 1703.41 | 0.232705 | ||||||||
\(378\) | −12025.8 | + | 3063.62i | −1.63635 | + | 0.416866i | ||||
\(379\) | −328.370 | −0.0445045 | −0.0222523 | − | 0.999752i | \(-0.507084\pi\) | ||||
−0.0222523 | + | 0.999752i | \(0.507084\pi\) | |||||||
\(380\) | −2857.14 | + | 1039.91i | −0.385706 | + | 0.140385i | ||||
\(381\) | −4047.37 | − | 4585.87i | −0.544233 | − | 0.616643i | ||||
\(382\) | −6497.85 | + | 5452.34i | −0.870311 | + | 0.730278i | ||||
\(383\) | 89.5505 | + | 507.866i | 0.0119473 | + | 0.0677565i | 0.990199 | − | 0.139667i | \(-0.0446033\pi\) |
−0.978251 | + | 0.207424i | \(0.933492\pi\) | |||||||
\(384\) | −6330.21 | + | 3868.65i | −0.841243 | + | 0.514117i | ||||
\(385\) | −1871.09 | − | 1570.03i | −0.247687 | − | 0.207834i | ||||
\(386\) | −8745.65 | + | 15147.9i | −1.15322 | + | 1.99743i | ||||
\(387\) | 1917.04 | − | 1779.02i | 0.251805 | − | 0.233677i | ||||
\(388\) | 6015.03 | + | 10418.3i | 0.787028 | + | 1.36317i | ||||
\(389\) | 2269.48 | − | 12870.8i | 0.295802 | − | 1.67758i | −0.368122 | − | 0.929778i | \(-0.619999\pi\) |
0.663924 | − | 0.747800i | \(-0.268890\pi\) | |||||||
\(390\) | 8637.51 | + | 1301.55i | 1.12148 | + | 0.168992i | ||||
\(391\) | 10192.8 | + | 3709.87i | 1.31834 | + | 0.479836i | ||||
\(392\) | 830.344 | + | 302.220i | 0.106986 | + | 0.0389399i | ||||
\(393\) | 3226.56 | + | 8220.22i | 0.414144 | + | 1.05510i | ||||
\(394\) | −650.427 | + | 3688.76i | −0.0831676 | + | 0.471667i | ||||
\(395\) | −679.991 | − | 1177.78i | −0.0866179 | − | 0.150027i | ||||
\(396\) | 1002.72 | − | 8006.48i | 0.127243 | − | 1.01601i | ||||
\(397\) | 3450.77 | − | 5976.90i | 0.436244 | − | 0.755597i | −0.561152 | − | 0.827713i | \(-0.689642\pi\) |
0.997396 | + | 0.0721155i | \(0.0229750\pi\) | |||||||
\(398\) | −7158.28 | − | 6006.51i | −0.901539 | − | 0.756481i | ||||
\(399\) | −174.833 | − | 6999.77i | −0.0219363 | − | 0.878263i | ||||
\(400\) | 640.457 | + | 3632.21i | 0.0800571 | + | 0.454026i | ||||
\(401\) | −3317.10 | + | 2783.38i | −0.413088 | + | 0.346622i | −0.825526 | − | 0.564363i | \(-0.809122\pi\) |
0.412438 | + | 0.910986i | \(0.364677\pi\) | |||||||
\(402\) | −436.909 | + | 1300.56i | −0.0542065 | + | 0.161358i | ||||
\(403\) | −2917.55 | + | 1061.90i | −0.360629 | + | 0.131258i | ||||
\(404\) | 17035.5 | 2.09790 | ||||||||
\(405\) | 2820.33 | − | 1358.74i | 0.346033 | − | 0.166707i | ||||
\(406\) | −1666.11 | −0.203664 | ||||||||
\(407\) | 3275.45 | − | 1192.17i | 0.398914 | − | 0.145193i | ||||
\(408\) | 1484.81 | − | 4419.87i | 0.180169 | − | 0.536314i | ||||
\(409\) | 2843.40 | − | 2385.89i | 0.343758 | − | 0.288447i | −0.454520 | − | 0.890737i | \(-0.650189\pi\) |
0.798278 | + | 0.602289i | \(0.205745\pi\) | |||||||
\(410\) | −186.895 | − | 1059.93i | −0.0225124 | − | 0.127674i | ||||
\(411\) | −175.481 | − | 7025.70i | −0.0210604 | − | 0.843193i | ||||
\(412\) | 8398.27 | + | 7046.99i | 1.00426 | + | 0.842670i | ||||
\(413\) | 4254.59 | − | 7369.17i | 0.506912 | − | 0.877997i | ||||
\(414\) | 15423.2 | − | 6502.83i | 1.83094 | − | 0.771973i | ||||
\(415\) | −829.827 | − | 1437.30i | −0.0981557 | − | 0.170011i | ||||
\(416\) | −3841.24 | + | 21784.8i | −0.452722 | + | 2.56751i | ||||
\(417\) | −1387.36 | − | 3534.54i | −0.162924 | − | 0.415077i | ||||
\(418\) | 7465.78 | + | 2717.32i | 0.873596 | + | 0.317963i | ||||
\(419\) | 8483.56 | + | 3087.76i | 0.989139 | + | 0.360017i | 0.785387 | − | 0.619006i | \(-0.212464\pi\) |
0.203752 | + | 0.979023i | \(0.434686\pi\) | |||||||
\(420\) | −4841.25 | − | 729.511i | −0.562450 | − | 0.0847536i | ||||
\(421\) | −2207.15 | + | 12517.4i | −0.255510 | + | 1.44907i | 0.539250 | + | 0.842146i | \(0.318708\pi\) |
−0.794760 | + | 0.606924i | \(0.792403\pi\) | |||||||
\(422\) | −6202.47 | − | 10743.0i | −0.715478 | − | 1.23924i | ||||
\(423\) | 633.585 | + | 2774.94i | 0.0728274 | + | 0.318964i | ||||
\(424\) | −3577.21 | + | 6195.91i | −0.409728 | + | 0.709670i | ||||
\(425\) | −6182.42 | − | 5187.67i | −0.705627 | − | 0.592091i | ||||
\(426\) | 1926.85 | − | 1177.57i | 0.219146 | − | 0.133929i | ||||
\(427\) | 1917.05 | + | 10872.1i | 0.217266 | + | 1.23218i | ||||
\(428\) | −10902.4 | + | 9148.22i | −1.23128 | + | 1.03317i | ||||
\(429\) | −8654.89 | − | 9806.43i | −0.974038 | − | 1.10363i | ||||
\(430\) | 1691.98 | − | 615.829i | 0.189754 | − | 0.0690649i | ||||
\(431\) | 5967.69 | 0.666945 | 0.333473 | − | 0.942760i | \(-0.391780\pi\) | ||||
0.333473 | + | 0.942760i | \(0.391780\pi\) | |||||||
\(432\) | 1997.71 | + | 4426.02i | 0.222488 | + | 0.492933i | ||||
\(433\) | 4953.29 | 0.549746 | 0.274873 | − | 0.961481i | \(-0.411364\pi\) | ||||
0.274873 | + | 0.961481i | \(0.411364\pi\) | |||||||
\(434\) | 2853.67 | − | 1038.65i | 0.315624 | − | 0.114878i | ||||
\(435\) | 411.964 | − | 83.2967i | 0.0454072 | − | 0.00918109i | ||||
\(436\) | 7076.39 | − | 5937.79i | 0.777288 | − | 0.652222i | ||||
\(437\) | 1639.94 | + | 9300.54i | 0.179517 | + | 1.01809i | ||||
\(438\) | 10968.0 | + | 5972.32i | 1.19651 | + | 0.651526i | ||||
\(439\) | −7735.92 | − | 6491.20i | −0.841037 | − | 0.705714i | 0.116760 | − | 0.993160i | \(-0.462749\pi\) |
−0.957797 | + | 0.287447i | \(0.907194\pi\) | |||||||
\(440\) | 708.059 | − | 1226.39i | 0.0767168 | − | 0.132877i | ||||
\(441\) | 918.554 | − | 1792.05i | 0.0991852 | − | 0.193505i | ||||
\(442\) | −14824.2 | − | 25676.3i | −1.59529 | − | 2.76312i | ||||
\(443\) | 3162.44 | − | 17935.1i | 0.339170 | − | 1.92353i | −0.0422128 | − | 0.999109i | \(-0.513441\pi\) |
0.381382 | − | 0.924417i | \(-0.375448\pi\) | |||||||
\(444\) | 4355.99 | − | 5462.68i | 0.465600 | − | 0.583890i | ||||
\(445\) | −4571.34 | − | 1663.83i | −0.486971 | − | 0.177243i | ||||
\(446\) | −20400.8 | − | 7425.27i | −2.16593 | − | 0.788334i | ||||
\(447\) | −4815.28 | + | 6038.65i | −0.509519 | + | 0.638967i | ||||
\(448\) | 2774.57 | − | 15735.4i | 0.292603 | − | 1.65944i | ||||
\(449\) | 4502.96 | + | 7799.36i | 0.473292 | + | 0.819766i | 0.999533 | − | 0.0305701i | \(-0.00973228\pi\) |
−0.526241 | + | 0.850336i | \(0.676399\pi\) | |||||||
\(450\) | −12438.3 | + | 621.730i | −1.30299 | + | 0.0651303i | ||||
\(451\) | −805.795 | + | 1395.68i | −0.0841317 | + | 0.145720i | ||||
\(452\) | 1150.25 | + | 965.171i | 0.119697 | + | 0.100438i | ||||
\(453\) | 14297.9 | + | 7785.51i | 1.48295 | + | 0.807495i | ||||
\(454\) | 1827.00 | + | 10361.5i | 0.188867 | + | 1.07112i | ||||
\(455\) | −6079.35 | + | 5101.18i | −0.626383 | + | 0.525598i | ||||
\(456\) | 3979.04 | − | 804.539i | 0.408631 | − | 0.0826228i | ||||
\(457\) | −17076.0 | + | 6215.16i | −1.74788 | + | 0.636177i | −0.999629 | − | 0.0272358i | \(-0.991330\pi\) |
−0.748253 | + | 0.663413i | \(0.769107\pi\) | |||||||
\(458\) | −5279.94 | −0.538680 | ||||||||
\(459\) | −9574.04 | − | 4609.25i | −0.973590 | − | 0.468718i | ||||
\(460\) | 6603.45 | 0.669320 | ||||||||
\(461\) | −7453.64 | + | 2712.90i | −0.753038 | + | 0.274084i | −0.689884 | − | 0.723920i | \(-0.742338\pi\) |
−0.0631546 | + | 0.998004i | \(0.520116\pi\) | |||||||
\(462\) | 8465.40 | + | 9591.72i | 0.852481 | + | 0.965903i | ||||
\(463\) | −5517.65 | + | 4629.86i | −0.553838 | + | 0.464725i | −0.876238 | − | 0.481878i | \(-0.839955\pi\) |
0.322400 | + | 0.946603i | \(0.395510\pi\) | |||||||
\(464\) | 113.210 | + | 642.044i | 0.0113268 | + | 0.0642373i | ||||
\(465\) | −653.673 | + | 399.486i | −0.0651900 | + | 0.0398402i | ||||
\(466\) | 17859.3 | + | 14985.7i | 1.77535 | + | 1.48970i | ||||
\(467\) | 8196.21 | − | 14196.3i | 0.812153 | − | 1.40669i | −0.0992017 | − | 0.995067i | \(-0.531629\pi\) |
0.911354 | − | 0.411622i | \(-0.135038\pi\) | |||||||
\(468\) | −25052.9 | − | 7725.69i | −2.47451 | − | 0.763078i | ||||
\(469\) | −623.244 | − | 1079.49i | −0.0613619 | − | 0.106282i | ||||
\(470\) | −340.283 | + | 1929.84i | −0.0333959 | + | 0.189398i | ||||
\(471\) | −906.040 | − | 136.528i | −0.0886372 | − | 0.0133564i | ||||
\(472\) | 4635.89 | + | 1687.33i | 0.452085 | + | 0.164546i | ||||
\(473\) | −2533.50 | − | 922.120i | −0.246280 | − | 0.0896387i | ||||
\(474\) | 2602.62 | + | 6630.62i | 0.252199 | + | 0.642520i | ||||
\(475\) | 1220.18 | − | 6920.00i | 0.117865 | − | 0.668445i | ||||
\(476\) | 8308.86 | + | 14391.4i | 0.800076 | + | 1.38577i | ||||
\(477\) | 12997.6 | + | 9843.71i | 1.24763 | + | 0.944890i | ||||
\(478\) | 6016.80 | − | 10421.4i | 0.575736 | − | 0.997205i | ||||
\(479\) | 14259.6 | + | 11965.3i | 1.36021 | + | 1.14135i | 0.975918 | + | 0.218137i | \(0.0699979\pi\) |
0.384289 | + | 0.923213i | \(0.374447\pi\) | |||||||
\(480\) | 136.284 | + | 5456.41i | 0.0129594 | + | 0.518854i | ||||
\(481\) | −1966.61 | − | 11153.2i | −0.186424 | − | 1.05726i | ||||
\(482\) | 9106.71 | − | 7641.43i | 0.860579 | − | 0.722111i | ||||
\(483\) | −4842.68 | + | 14415.3i | −0.456210 | + | 1.35801i | ||||
\(484\) | 5612.58 | − | 2042.81i | 0.527101 | − | 0.191849i | ||||
\(485\) | 4811.48 | 0.450470 | ||||||||
\(486\) | −15667.4 | + | 4836.06i | −1.46232 | + | 0.451375i | ||||
\(487\) | −16907.0 | −1.57317 | −0.786583 | − | 0.617485i | \(-0.788152\pi\) | ||||
−0.786583 | + | 0.617485i | \(0.788152\pi\) | |||||||
\(488\) | −6014.64 | + | 2189.15i | −0.557930 | + | 0.203070i | ||||
\(489\) | −1244.07 | + | 3703.27i | −0.115049 | + | 0.342469i | ||||
\(490\) | 1062.04 | − | 891.157i | 0.0979144 | − | 0.0821599i | ||||
\(491\) | −1236.26 | − | 7011.21i | −0.113629 | − | 0.644422i | −0.987420 | − | 0.158120i | \(-0.949457\pi\) |
0.873791 | − | 0.486302i | \(-0.161654\pi\) | |||||||
\(492\) | 80.6588 | + | 3229.33i | 0.00739101 | + | 0.295913i | ||||
\(493\) | −1092.83 | − | 916.992i | −0.0998347 | − | 0.0837713i | ||||
\(494\) | 12906.9 | − | 22355.4i | 1.17553 | − | 2.03607i | ||||
\(495\) | −2572.69 | − | 1948.43i | −0.233604 | − | 0.176920i | ||||
\(496\) | −594.151 | − | 1029.10i | −0.0537866 | − | 0.0931612i | ||||
\(497\) | −356.262 | + | 2020.46i | −0.0321540 | + | 0.182354i | ||||
\(498\) | 3176.11 | + | 8091.68i | 0.285793 | + | 0.728106i | ||||
\(499\) | 20458.7 | + | 7446.35i | 1.83538 | + | 0.668025i | 0.991268 | + | 0.131866i | \(0.0420969\pi\) |
0.844117 | + | 0.536159i | \(0.180125\pi\) | |||||||
\(500\) | −10032.9 | − | 3651.68i | −0.897371 | − | 0.326616i | ||||
\(501\) | −2804.69 | − | 422.629i | −0.250108 | − | 0.0376879i | ||||
\(502\) | 4964.20 | − | 28153.4i | 0.441361 | − | 2.50308i | ||||
\(503\) | −5865.29 | − | 10159.0i | −0.519921 | − | 0.900530i | −0.999732 | − | 0.0231576i | \(-0.992628\pi\) |
0.479811 | − | 0.877372i | \(-0.340705\pi\) | |||||||
\(504\) | 6246.56 | + | 1926.28i | 0.552071 | + | 0.170245i | ||||
\(505\) | 3406.72 | − | 5900.62i | 0.300192 | − | 0.519948i | ||||
\(506\) | −13218.1 | − | 11091.3i | −1.16129 | − | 0.974442i | ||||
\(507\) | −26520.2 | + | 16207.6i | −2.32308 | + | 1.41973i | ||||
\(508\) | 2194.70 | + | 12446.7i | 0.191681 | + | 1.08708i | ||||
\(509\) | −10359.0 | + | 8692.25i | −0.902073 | + | 0.756929i | −0.970595 | − | 0.240720i | \(-0.922616\pi\) |
0.0685211 | + | 0.997650i | \(0.478172\pi\) | |||||||
\(510\) | −4840.77 | − | 5484.83i | −0.420299 | − | 0.476220i | ||||
\(511\) | −10662.0 | + | 3880.66i | −0.923015 | + | 0.335950i | ||||
\(512\) | −11746.9 | −1.01396 | ||||||||
\(513\) | −692.429 | − | 9225.54i | −0.0595936 | − | 0.793991i | ||||
\(514\) | −1032.75 | −0.0886234 | ||||||||
\(515\) | 4120.34 | − | 1499.68i | 0.352551 | − | 0.128318i | ||||
\(516\) | −5296.98 | + | 1071.02i | −0.451912 | + | 0.0913740i | ||||
\(517\) | 2247.77 | − | 1886.10i | 0.191212 | − | 0.160446i | ||||
\(518\) | 1923.56 | + | 10909.0i | 0.163159 | + | 0.925319i | ||||
\(519\) | 9802.77 | + | 5337.81i | 0.829082 | + | 0.451453i | ||||
\(520\) | −3524.66 | − | 2957.54i | −0.297243 | − | 0.249417i | ||||
\(521\) | −2309.59 | + | 4000.32i | −0.194213 | + | 0.336386i | −0.946642 | − | 0.322287i | \(-0.895549\pi\) |
0.752429 | + | 0.658673i | \(0.228882\pi\) | |||||||
\(522\) | −2198.64 | + | 109.899i | −0.184352 | + | 0.00921487i | ||||
\(523\) | 7043.69 | + | 12200.0i | 0.588909 | + | 1.02002i | 0.994376 | + | 0.105910i | \(0.0337756\pi\) |
−0.405467 | + | 0.914110i | \(0.632891\pi\) | |||||||
\(524\) | 3168.63 | − | 17970.2i | 0.264165 | − | 1.49815i | ||||
\(525\) | 7054.25 | − | 8846.45i | 0.586424 | − | 0.735411i | ||||
\(526\) | 1052.75 | + | 383.170i | 0.0872664 | + | 0.0317624i | ||||
\(527\) | 2443.42 | + | 889.331i | 0.201968 | + | 0.0735102i | ||||
\(528\) | 3121.00 | − | 3913.92i | 0.257243 | − | 0.322598i | ||||
\(529\) | 1448.88 | − | 8217.00i | 0.119083 | − | 0.675351i | ||||
\(530\) | 5612.53 | + | 9721.19i | 0.459987 | + | 0.796720i | ||||
\(531\) | 5128.38 | − | 10005.2i | 0.419120 | − | 0.817679i | ||||
\(532\) | −7234.22 | + | 12530.0i | −0.589555 | + | 1.02114i | ||||
\(533\) | 4011.17 | + | 3365.77i | 0.325972 | + | 0.273523i | ||||
\(534\) | 22377.3 | + | 12184.9i | 1.81341 | + | 0.987439i | ||||
\(535\) | 988.440 | + | 5605.72i | 0.0798766 | + | 0.453003i | ||||
\(536\) | 553.608 | − | 464.532i | 0.0446123 | − | 0.0374342i | ||||
\(537\) | 10811.9 | − | 2186.11i | 0.868844 | − | 0.175675i | ||||
\(538\) | −4447.27 | + | 1618.67i | −0.356386 | + | 0.129714i | ||||
\(539\) | −2075.93 | −0.165894 | ||||||||
\(540\) | −6436.76 | − | 643.344i | −0.512952 | − | 0.0512688i | ||||
\(541\) | −9754.66 | −0.775205 | −0.387602 | − | 0.921827i | \(-0.626697\pi\) | ||||
−0.387602 | + | 0.921827i | \(0.626697\pi\) | |||||||
\(542\) | −3858.47 | + | 1404.37i | −0.305785 | + | 0.111297i | ||||
\(543\) | −11960.9 | − | 13552.2i | −0.945285 | − | 1.07105i | ||||
\(544\) | 14191.7 | − | 11908.3i | 1.11850 | − | 0.938534i | ||||
\(545\) | −641.562 | − | 3638.48i | −0.0504248 | − | 0.285973i | ||||
\(546\) | 35467.2 | − | 21675.4i | 2.77996 | − | 1.69894i | ||||
\(547\) | 10465.8 | + | 8781.87i | 0.818074 | + | 0.686446i | 0.952520 | − | 0.304475i | \(-0.0984811\pi\) |
−0.134446 | + | 0.990921i | \(0.542925\pi\) | |||||||
\(548\) | −7261.02 | + | 12576.5i | −0.566014 | + | 0.980364i | ||||
\(549\) | 3246.93 | + | 14220.7i | 0.252415 | + | 1.10551i | ||||
\(550\) | 6419.22 | + | 11118.4i | 0.497666 | + | 0.861984i | ||||
\(551\) | 215.684 | − | 1223.21i | 0.0166760 | − | 0.0945741i | ||||
\(552\) | −8718.24 | − | 1313.72i | −0.672233 | − | 0.101296i | ||||
\(553\) | −6081.28 | − | 2213.40i | −0.467635 | − | 0.170205i | ||||
\(554\) | −3011.80 | − | 1096.20i | −0.230973 | − | 0.0840672i | ||||
\(555\) | −1021.01 | − | 2601.20i | −0.0780893 | − | 0.198946i | ||||
\(556\) | −1362.45 | + | 7726.85i | −0.103922 | + | 0.589373i | ||||
\(557\) | 10118.4 | + | 17525.6i | 0.769714 | + | 1.33318i | 0.937718 | + | 0.347397i | \(0.112934\pi\) |
−0.168004 | + | 0.985786i | \(0.553732\pi\) | |||||||
\(558\) | 3697.26 | − | 1558.86i | 0.280498 | − | 0.118265i | ||||
\(559\) | −4379.95 | + | 7586.29i | −0.331399 | + | 0.574000i | ||||
\(560\) | −2326.76 | − | 1952.38i | −0.175578 | − | 0.147327i | ||||
\(561\) | 273.511 | + | 10950.5i | 0.0205840 | + | 0.824120i | ||||
\(562\) | −2438.48 | − | 13829.3i | −0.183027 | − | 1.03800i | ||||
\(563\) | 17447.3 | − | 14640.0i | 1.30606 | − | 1.09592i | 0.317002 | − | 0.948425i | \(-0.397324\pi\) |
0.989063 | − | 0.147494i | \(-0.0471206\pi\) | |||||||
\(564\) | 1872.98 | − | 5575.34i | 0.139834 | − | 0.416248i | ||||
\(565\) | 564.331 | − | 205.400i | 0.0420205 | − | 0.0152942i | ||||
\(566\) | 7067.18 | 0.524833 | ||||||||
\(567\) | 6124.86 | − | 13579.7i | 0.453650 | − | 1.00581i | ||||
\(568\) | −1189.49 | −0.0878692 | ||||||||
\(569\) | 441.835 | − | 160.815i | 0.0325531 | − | 0.0118484i | −0.325692 | − | 0.945476i | \(-0.605597\pi\) |
0.358245 | + | 0.933627i | \(0.383375\pi\) | |||||||
\(570\) | 2028.31 | − | 6037.74i | 0.149047 | − | 0.443672i | ||||
\(571\) | −567.859 | + | 476.490i | −0.0416185 | + | 0.0349221i | −0.663360 | − | 0.748301i | \(-0.730870\pi\) |
0.621741 | + | 0.783223i | \(0.286426\pi\) | |||||||
\(572\) | 4693.14 | + | 26616.1i | 0.343060 | + | 1.94559i | ||||
\(573\) | −254.244 | − | 10179.2i | −0.0185361 | − | 0.742129i | ||||
\(574\) | −3923.35 | − | 3292.08i | −0.285292 | − | 0.239388i | ||||
\(575\) | −7630.45 | + | 13216.3i | −0.553411 | + | 0.958537i | ||||
\(576\) | 2623.46 | − | 20947.8i | 0.189776 | − | 1.51532i | ||||
\(577\) | 9077.41 | + | 15722.5i | 0.654935 | + | 1.13438i | 0.981910 | + | 0.189348i | \(0.0606374\pi\) |
−0.326975 | + | 0.945033i | \(0.606029\pi\) | |||||||
\(578\) | −618.833 | + | 3509.58i | −0.0445330 | + | 0.252559i | ||||
\(579\) | −7671.75 | − | 19545.1i | −0.550651 | − | 1.40288i | ||||
\(580\) | −816.109 | − | 297.039i | −0.0584260 | − | 0.0212653i | ||||
\(581\) | −7421.29 | − | 2701.13i | −0.529926 | − | 0.192877i | ||||
\(582\) | −24919.5 | − | 3755.04i | −1.77483 | − | 0.267442i | ||||
\(583\) | 2918.68 | − | 16552.6i | 0.207340 | − | 1.17588i | ||||
\(584\) | −3289.15 | − | 5696.98i | −0.233058 | − | 0.403669i | ||||
\(585\) | −7685.98 | + | 7132.64i | −0.543207 | + | 0.504100i | ||||
\(586\) | −11573.6 | + | 20046.0i | −0.815871 | + | 1.41313i | ||||
\(587\) | −20203.2 | − | 16952.5i | −1.42057 | − | 1.19200i | −0.951033 | − | 0.309091i | \(-0.899975\pi\) |
−0.469540 | − | 0.882911i | \(-0.655580\pi\) | |||||||
\(588\) | −3550.54 | + | 2169.88i | −0.249016 | + | 0.152184i | ||||
\(589\) | 393.126 | + | 2229.53i | 0.0275017 | + | 0.155970i | ||||
\(590\) | 5929.47 | − | 4975.42i | 0.413750 | − | 0.347178i | ||||
\(591\) | −2975.30 | − | 3371.16i | −0.207085 | − | 0.234638i | ||||
\(592\) | 4073.14 | − | 1482.50i | 0.282779 | − | 0.102923i | ||||
\(593\) | −13727.4 | −0.950620 | −0.475310 | − | 0.879818i | \(-0.657664\pi\) | ||||
−0.475310 | + | 0.879818i | \(0.657664\pi\) | |||||||
\(594\) | 11803.8 | + | 12099.1i | 0.815349 | + | 0.835743i | ||||
\(595\) | 6646.34 | 0.457938 | ||||||||
\(596\) | 14996.9 | − | 5458.43i | 1.03070 | − | 0.375144i | ||||
\(597\) | 10994.8 | − | 2223.08i | 0.753744 | − | 0.152403i | ||||
\(598\) | −42946.9 | + | 36036.7i | −2.93684 | + | 2.46430i | ||||
\(599\) | 2195.47 | + | 12451.1i | 0.149757 | + | 0.849314i | 0.963424 | + | 0.267982i | \(0.0863569\pi\) |
−0.813667 | + | 0.581331i | \(0.802532\pi\) | |||||||
\(600\) | 5761.23 | + | 3137.11i | 0.392002 | + | 0.213454i | ||||
\(601\) | 9349.67 | + | 7845.31i | 0.634577 | + | 0.532474i | 0.902348 | − | 0.431009i | \(-0.141842\pi\) |
−0.267770 | + | 0.963483i | \(0.586287\pi\) | |||||||
\(602\) | 4284.05 | − | 7420.19i | 0.290041 | − | 0.502366i | ||||
\(603\) | −893.653 | − | 1383.41i | −0.0603522 | − | 0.0934277i | ||||
\(604\) | −16820.2 | − | 29133.5i | −1.13312 | − | 1.96262i | ||||
\(605\) | 414.818 | − | 2352.55i | 0.0278756 | − | 0.158090i | ||||
\(606\) | −22249.1 | + | 27901.7i | −1.49143 | + | 1.87034i | ||||
\(607\) | −18257.3 | − | 6645.13i | −1.22083 | − | 0.444345i | −0.350381 | − | 0.936607i | \(-0.613948\pi\) |
−0.870447 | + | 0.492262i | \(0.836170\pi\) | |||||||
\(608\) | 15157.1 | + | 5516.74i | 1.01102 | + | 0.367983i | ||||
\(609\) | 1246.94 | − | 1563.73i | 0.0829695 | − | 0.104049i | ||||
\(610\) | −1743.85 | + | 9889.85i | −0.115748 | + | 0.656440i | ||||
\(611\) | −4766.84 | − | 8256.40i | −0.315623 | − | 0.546675i | ||||
\(612\) | 11913.9 | + | 18443.1i | 0.786910 | + | 1.21817i | ||||
\(613\) | 10897.5 | − | 18875.0i | 0.718019 | − | 1.24364i | −0.243765 | − | 0.969834i | \(-0.578383\pi\) |
0.961784 | − | 0.273810i | \(-0.0882841\pi\) | |||||||
\(614\) | 6257.56 | + | 5250.72i | 0.411294 | + | 0.345117i | ||||
\(615\) | 1134.68 | + | 617.855i | 0.0743977 | + | 0.0405111i | ||||
\(616\) | −1170.16 | − | 6636.32i | −0.0765376 | − | 0.434066i | ||||
\(617\) | −150.004 | + | 125.868i | −0.00978757 | + | 0.00821275i | −0.647668 | − | 0.761922i | \(-0.724256\pi\) |
0.637881 | + | 0.770135i | \(0.279811\pi\) | |||||||
\(618\) | −22510.4 | + | 4551.48i | −1.46521 | + | 0.296258i | ||||
\(619\) | 20752.1 | − | 7553.15i | 1.34749 | − | 0.490447i | 0.435328 | − | 0.900272i | \(-0.356633\pi\) |
0.912164 | + | 0.409825i | \(0.134410\pi\) | |||||||
\(620\) | 1582.98 | 0.102539 | ||||||||
\(621\) | −5439.66 | + | 19342.3i | −0.351507 | + | 1.24988i | ||||
\(622\) | −8321.28 | −0.536419 | ||||||||
\(623\) | −21753.0 | + | 7917.45i | −1.39890 | + | 0.509159i | ||||
\(624\) | −10762.7 | − | 12194.6i | −0.690466 | − | 0.782333i | ||||
\(625\) | 6932.40 | − | 5816.97i | 0.443674 | − | 0.372286i | ||||
\(626\) | 61.1195 | + | 346.626i | 0.00390228 | + | 0.0221309i | ||||
\(627\) | −8137.81 | + | 4973.34i | −0.518330 | + | 0.316772i | ||||
\(628\) | 1450.37 | + | 1217.01i | 0.0921595 | + | 0.0773310i | ||||
\(629\) | −4742.40 | + | 8214.08i | −0.300623 | + | 0.520694i | ||||
\(630\) | 7517.70 | − | 6976.48i | 0.475416 | − | 0.441190i | ||||
\(631\) | −557.064 | − | 964.862i | −0.0351448 | − | 0.0608725i | 0.847918 | − | 0.530127i | \(-0.177856\pi\) |
−0.883063 | + | 0.469255i | \(0.844523\pi\) | |||||||
\(632\) | 651.537 | − | 3695.05i | 0.0410075 | − | 0.232565i | ||||
\(633\) | 14724.8 | + | 2218.83i | 0.924581 | + | 0.139322i | ||||
\(634\) | −9656.77 | − | 3514.78i | −0.604920 | − | 0.220173i | ||||
\(635\) | 4750.08 | + | 1728.89i | 0.296852 | + | 0.108045i | ||||
\(636\) | −12309.8 | − | 31361.3i | −0.767476 | − | 1.95528i | ||||
\(637\) | −1171.24 | + | 6642.45i | −0.0728514 | + | 0.413161i | ||||
\(638\) | 1134.69 | + | 1965.33i | 0.0704117 | + | 0.121957i | ||||
\(639\) | −336.860 | + | 2689.75i | −0.0208544 | + | 0.166518i | ||||
\(640\) | 3065.60 | − | 5309.77i | 0.189341 | − | 0.327948i | ||||
\(641\) | 3828.97 | + | 3212.89i | 0.235936 | + | 0.197974i | 0.753088 | − | 0.657920i | \(-0.228563\pi\) |
−0.517152 | + | 0.855894i | \(0.673008\pi\) | |||||||
\(642\) | −744.424 | − | 29804.5i | −0.0457634 | − | 1.83223i | ||||
\(643\) | −1392.09 | − | 7894.92i | −0.0853787 | − | 0.484207i | −0.997274 | − | 0.0737844i | \(-0.976492\pi\) |
0.911895 | − | 0.410423i | \(-0.134619\pi\) | |||||||
\(644\) | 24071.4 | − | 20198.3i | 1.47290 | − | 1.23591i | ||||
\(645\) | −688.306 | + | 2048.90i | −0.0420186 | + | 0.125078i | ||||
\(646\) | −20315.0 | + | 7394.07i | −1.23728 | + | 0.450334i | ||||
\(647\) | 29929.6 | 1.81863 | 0.909315 | − | 0.416109i | \(-0.136607\pi\) | ||||
0.909315 | + | 0.416109i | \(0.136607\pi\) | |||||||
\(648\) | 8370.17 | + | 2129.94i | 0.507425 | + | 0.129123i | ||||
\(649\) | −11590.2 | −0.701007 | ||||||||
\(650\) | 39197.8 | − | 14266.8i | 2.36533 | − | 0.860909i | ||||
\(651\) | −1160.89 | + | 3455.65i | −0.0698907 | + | 0.208046i | ||||
\(652\) | 6183.88 | − | 5188.89i | 0.371441 | − | 0.311676i | ||||
\(653\) | 2638.27 | + | 14962.3i | 0.158106 | + | 0.896664i | 0.955891 | + | 0.293722i | \(0.0948940\pi\) |
−0.797785 | + | 0.602942i | \(0.793995\pi\) | |||||||
\(654\) | 483.180 | + | 19345.1i | 0.0288897 | + | 1.15665i | ||||
\(655\) | −5590.70 | − | 4691.16i | −0.333507 | − | 0.279845i | ||||
\(656\) | −1002.03 | + | 1735.57i | −0.0596384 | + | 0.103297i | ||||
\(657\) | −13813.9 | + | 5824.30i | −0.820292 | + | 0.345856i | ||||
\(658\) | 4662.47 | + | 8075.64i | 0.276234 | + | 0.478452i | ||||
\(659\) | −2177.86 | + | 12351.2i | −0.128736 | + | 0.730100i | 0.850282 | + | 0.526327i | \(0.176431\pi\) |
−0.979018 | + | 0.203772i | \(0.934680\pi\) | |||||||
\(660\) | 2436.55 | + | 6207.53i | 0.143701 | + | 0.366103i | ||||
\(661\) | −9069.69 | − | 3301.10i | −0.533692 | − | 0.194248i | 0.0610943 | − | 0.998132i | \(-0.480541\pi\) |
−0.594786 | + | 0.803884i | \(0.702763\pi\) | |||||||
\(662\) | −4267.44 | − | 1553.22i | −0.250542 | − | 0.0911899i | ||||
\(663\) | 35193.1 | + | 5303.13i | 2.06152 | + | 0.310643i | ||||
\(664\) | 795.104 | − | 4509.26i | 0.0464699 | − | 0.263544i | ||||
\(665\) | 2893.36 | + | 5011.45i | 0.168721 | + | 0.292234i | ||||
\(666\) | 3257.95 | + | 14268.9i | 0.189554 | + | 0.830195i | ||||
\(667\) | −1348.79 | + | 2336.17i | −0.0782987 | + | 0.135617i | ||||
\(668\) | 4489.70 | + | 3767.30i | 0.260047 | + | 0.218206i | ||||
\(669\) | 22237.2 | − | 13590.0i | 1.28511 | − | 0.785382i | ||||
\(670\) | −196.894 | − | 1116.64i | −0.0113533 | − | 0.0643875i | ||||
\(671\) | 11519.1 | − | 9665.68i | 0.662728 | − | 0.556095i | ||||
\(672\) | 17186.6 | + | 19473.2i | 0.986587 | + | 1.11785i | ||||
\(673\) | 13419.8 | − | 4884.42i | 0.768643 | − | 0.279763i | 0.0722145 | − | 0.997389i | \(-0.476993\pi\) |
0.696429 | + | 0.717626i | \(0.254771\pi\) | |||||||
\(674\) | −20424.5 | −1.16724 | ||||||||
\(675\) | 8725.44 | − | 12139.3i | 0.497544 | − | 0.692210i | ||||
\(676\) | 64223.3 | 3.65403 | ||||||||
\(677\) | −16063.3 | + | 5846.55i | −0.911908 | + | 0.331907i | −0.755014 | − | 0.655708i | \(-0.772370\pi\) |
−0.156894 | + | 0.987616i | \(0.550148\pi\) | |||||||
\(678\) | −3083.07 | + | 623.380i | −0.174638 | + | 0.0353109i | ||||
\(679\) | 17539.2 | − | 14717.1i | 0.991297 | − | 0.831797i | ||||
\(680\) | 669.133 | + | 3794.84i | 0.0377354 | + | 0.214008i | ||||
\(681\) | −11092.1 | − | 6039.88i | −0.624156 | − | 0.339866i | ||||
\(682\) | −3168.64 | − | 2658.81i | −0.177909 | − | 0.149283i | ||||
\(683\) | 1510.44 | − | 2616.16i | 0.0846198 | − | 0.146566i | −0.820609 | − | 0.571490i | \(-0.806366\pi\) |
0.905229 | + | 0.424924i | \(0.139699\pi\) | |||||||
\(684\) | −8719.96 | + | 17012.1i | −0.487450 | + | 0.950987i | ||||
\(685\) | 2904.08 | + | 5030.02i | 0.161984 | + | 0.280565i | ||||
\(686\) | −4122.89 | + | 23382.1i | −0.229465 | + | 1.30136i | ||||
\(687\) | 3951.56 | − | 4955.50i | 0.219449 | − | 0.275202i | ||||
\(688\) | −3150.50 | − | 1146.69i | −0.174581 | − | 0.0635422i | ||||
\(689\) | −51317.4 | − | 18678.0i | −2.83750 | − | 1.03277i | ||||
\(690\) | −8624.36 | + | 10815.5i | −0.475832 | + | 0.596721i | ||||
\(691\) | −3454.14 | + | 19589.4i | −0.190162 | + | 1.07846i | 0.728980 | + | 0.684535i | \(0.239995\pi\) |
−0.919142 | + | 0.393927i | \(0.871116\pi\) | |||||||
\(692\) | −11532.1 | − | 19974.2i | −0.633503 | − | 1.09726i | ||||
\(693\) | −15337.9 | + | 766.667i | −0.840749 | + | 0.0420249i | ||||
\(694\) | 1326.80 | − | 2298.09i | 0.0725717 | − | 0.125698i | ||||
\(695\) | 2403.90 | + | 2017.11i | 0.131201 | + | 0.110091i | ||||
\(696\) | 1018.38 | + | 554.528i | 0.0554619 | + | 0.0302002i | ||||
\(697\) | −761.495 | − | 4318.65i | −0.0413826 | − | 0.234693i | ||||
\(698\) | −4417.30 | + | 3706.56i | −0.239538 | + | 0.200996i | ||||
\(699\) | −27430.9 | + | 5546.37i | −1.48431 | + | 0.300119i | ||||
\(700\) | −21970.0 | + | 7996.44i | −1.18627 | + | 0.431767i | ||||
\(701\) | −800.939 | −0.0431541 | −0.0215771 | − | 0.999767i | \(-0.506869\pi\) | ||||
−0.0215771 | + | 0.999767i | \(0.506869\pi\) | |||||||
\(702\) | 45373.6 | − | 30942.9i | 2.43948 | − | 1.66362i | ||||
\(703\) | −8258.07 | −0.443042 | ||||||||
\(704\) | −20450.9 | + | 7443.53i | −1.09485 | + | 0.398492i | ||||
\(705\) | −1556.58 | − | 1763.69i | −0.0831550 | − | 0.0942188i | ||||
\(706\) | 29462.9 | − | 24722.3i | 1.57061 | − | 1.31790i | ||||
\(707\) | −5630.06 | − | 31929.7i | −0.299491 | − | 1.69850i | ||||
\(708\) | −19823.0 | + | 12114.6i | −1.05225 | + | 0.643073i | ||||
\(709\) | 3106.31 | + | 2606.50i | 0.164542 | + | 0.138067i | 0.721341 | − | 0.692580i | \(-0.243526\pi\) |
−0.556799 | + | 0.830647i | \(0.687971\pi\) | |||||||
\(710\) | −933.134 | + | 1616.24i | −0.0493238 | + | 0.0854313i | ||||
\(711\) | −8171.01 | − | 2519.73i | −0.430994 | − | 0.132908i | ||||
\(712\) | −6710.63 | − | 11623.2i | −0.353218 | − | 0.611792i | ||||
\(713\) | 853.802 | − | 4842.15i | 0.0448459 | − | 0.254334i | ||||
\(714\) | −34422.6 | − | 5187.02i | −1.80425 | − | 0.271876i | ||||
\(715\) | 10157.6 | + | 3697.06i | 0.531290 | + | 0.193374i | ||||
\(716\) | −21418.7 | − | 7795.76i | −1.11795 | − | 0.406901i | ||||
\(717\) | 5277.98 | + | 13446.6i | 0.274909 | + | 0.700378i | ||||
\(718\) | −8763.21 | + | 49698.6i | −0.455487 | + | 2.58320i | ||||
\(719\) | −15633.9 | − | 27078.6i | −0.810910 | − | 1.40454i | −0.912228 | − | 0.409684i | \(-0.865639\pi\) |
0.101317 | − | 0.994854i | \(-0.467694\pi\) | |||||||
\(720\) | −3199.23 | − | 2422.94i | −0.165595 | − | 0.125413i | ||||
\(721\) | 10432.6 | − | 18069.8i | 0.538878 | − | 0.933363i | ||||
\(722\) | 8324.88 | + | 6985.41i | 0.429114 | + | 0.360069i | ||||
\(723\) | 356.322 | + | 14266.0i | 0.0183288 | + | 0.733831i | ||||
\(724\) | 6485.81 | + | 36782.9i | 0.332933 | + | 1.88816i | ||||
\(725\) | 1537.54 | − | 1290.15i | 0.0787623 | − | 0.0660894i | ||||
\(726\) | −3984.43 | + | 11860.6i | −0.203686 | + | 0.606317i | ||||
\(727\) | 13748.6 | − | 5004.08i | 0.701386 | − | 0.255284i | 0.0333833 | − | 0.999443i | \(-0.489372\pi\) |
0.668002 | + | 0.744159i | \(0.267150\pi\) | |||||||
\(728\) | −21894.7 | −1.11466 | ||||||||
\(729\) | 7186.78 | − | 18324.0i | 0.365126 | − | 0.930958i | ||||
\(730\) | −10321.2 | −0.523292 | ||||||||
\(731\) | 6893.88 | − | 2509.17i | 0.348809 | − | 0.126956i | ||||
\(732\) | 9598.43 | − | 28571.9i | 0.484656 | − | 1.44269i | ||||
\(733\) | −23148.9 | + | 19424.2i | −1.16647 | + | 0.978786i | −0.999974 | − | 0.00725627i | \(-0.997690\pi\) |
−0.166498 | + | 0.986042i | \(0.553246\pi\) | |||||||
\(734\) | −729.084 | − | 4134.84i | −0.0366634 | − | 0.207929i | ||||
\(735\) | 41.5549 | + | 1663.73i | 0.00208541 | + | 0.0834933i | ||||
\(736\) | −26835.5 | − | 22517.7i | −1.34398 | − | 1.12773i | ||||
\(737\) | −848.906 | + | 1470.35i | −0.0424286 | + | 0.0734884i | ||||
\(738\) | −5394.50 | − | 4085.52i | −0.269071 | − | 0.203781i | ||||
\(739\) | 11968.5 | + | 20730.1i | 0.595763 | + | 1.03189i | 0.993439 | + | 0.114366i | \(0.0364838\pi\) |
−0.397675 | + | 0.917526i | \(0.630183\pi\) | |||||||
\(740\) | −1002.68 | + | 5686.49i | −0.0498098 | + | 0.282486i | ||||
\(741\) | 11322.0 | + | 28844.8i | 0.561303 | + | 1.43002i | ||||
\(742\) | 50193.9 | + | 18269.1i | 2.48339 | + | 0.903880i | ||||
\(743\) | 19637.0 | + | 7147.27i | 0.969596 | + | 0.352904i | 0.777787 | − | 0.628528i | \(-0.216342\pi\) |
0.191809 | + | 0.981432i | \(0.438565\pi\) | |||||||
\(744\) | −2089.94 | − | 314.926i | −0.102985 | − | 0.0155185i | ||||
\(745\) | 1108.40 | − | 6286.06i | 0.0545083 | − | 0.309132i | ||||
\(746\) | −15099.6 | − | 26153.3i | −0.741068 | − | 1.28357i | ||||
\(747\) | −9971.49 | − | 3074.96i | −0.488404 | − | 0.150611i | ||||
\(748\) | 11317.3 | − | 19602.1i | 0.553211 | − | 0.958189i | ||||
\(749\) | 20749.6 | + | 17411.0i | 1.01225 | + | 0.849377i | ||||
\(750\) | 19084.3 | − | 11663.2i | 0.929146 | − | 0.567838i | ||||
\(751\) | −2095.31 | − | 11883.1i | −0.101810 | − | 0.577391i | −0.992447 | − | 0.122676i | \(-0.960852\pi\) |
0.890637 | − | 0.454715i | \(-0.150259\pi\) | |||||||
\(752\) | 2795.17 | − | 2345.43i | 0.135545 | − | 0.113735i | ||||
\(753\) | 22708.1 | + | 25729.4i | 1.09898 | + | 1.24520i | ||||
\(754\) | 6928.75 | − | 2521.86i | 0.334655 | − | 0.121805i | ||||
\(755\) | −13454.7 | −0.648563 | ||||||||
\(756\) | −25431.6 | + | 17343.2i | −1.22346 | + | 0.834349i | ||||
\(757\) | 15978.5 | 0.767172 | 0.383586 | − | 0.923505i | \(-0.374689\pi\) | ||||
0.383586 | + | 0.923505i | \(0.374689\pi\) | |||||||
\(758\) | −1335.67 | + | 486.144i | −0.0640023 | + | 0.0232949i | ||||
\(759\) | 20302.3 | − | 4105.01i | 0.970917 | − | 0.196314i | ||||
\(760\) | −2570.08 | + | 2156.55i | −0.122667 | + | 0.102929i | ||||
\(761\) | −2051.14 | − | 11632.6i | −0.0977053 | − | 0.554114i | −0.993885 | − | 0.110422i | \(-0.964780\pi\) |
0.896179 | − | 0.443692i | \(-0.146331\pi\) | |||||||
\(762\) | −23252.3 | − | 12661.3i | −1.10543 | − | 0.601932i | ||||
\(763\) | −13467.9 | − | 11300.9i | −0.639016 | − | 0.536198i | ||||
\(764\) | −10520.1 | + | 18221.3i | −0.498172 | + | 0.862860i | ||||
\(765\) | 8770.67 | − | 438.403i | 0.414515 | − | 0.0207196i | ||||
\(766\) | 1116.14 | + | 1933.21i | 0.0526472 | + | 0.0911875i | ||||
\(767\) | −6539.17 | + | 37085.5i | −0.307843 | + | 1.74587i | ||||
\(768\) | 243.236 | − | 305.033i | 0.0114284 | − | 0.0143319i | ||||
\(769\) | −13464.0 | − | 4900.48i | −0.631369 | − | 0.229800i | 0.00645790 | − | 0.999979i | \(-0.497944\pi\) |
−0.637827 | + | 0.770180i | \(0.720167\pi\) | |||||||
\(770\) | −9935.19 | − | 3616.11i | −0.464986 | − | 0.169241i | ||||
\(771\) | 772.917 | − | 969.284i | 0.0361037 | − | 0.0452762i | ||||
\(772\) | −7534.01 | + | 42727.5i | −0.351237 | + | 1.99196i | ||||
\(773\) | 2301.12 | + | 3985.65i | 0.107070 | + | 0.185452i | 0.914582 | − | 0.404400i | \(-0.132520\pi\) |
−0.807512 | + | 0.589851i | \(0.799186\pi\) | |||||||
\(774\) | 5163.89 | − | 10074.5i | 0.239809 | − | 0.467854i | ||||
\(775\) | −1829.17 | + | 3168.22i | −0.0847818 | + | 0.146846i | ||||
\(776\) | 10168.8 | + | 8532.61i | 0.470409 | + | 0.394720i | ||||
\(777\) | −11678.3 | − | 6359.07i | −0.539197 | − | 0.293604i | ||||
\(778\) | −9823.73 | − | 55713.1i | −0.452696 | − | 2.56737i | ||||
\(779\) | 2924.83 | − | 2454.23i | 0.134523 | − | 0.112878i | ||||
\(780\) | 21237.2 | − | 4294.04i | 0.974889 | − | 0.197117i | ||||
\(781\) | 2625.95 | − | 955.768i | 0.120312 | − | 0.0437901i | ||||
\(782\) | 46952.3 | 2.14707 | ||||||||
\(783\) | 1542.34 | − | 2145.79i | 0.0703944 | − | 0.0979364i | ||||
\(784\) | −2581.50 | −0.117597 | ||||||||
\(785\) | 711.578 | − | 258.993i | 0.0323532 | − | 0.0117756i | ||||
\(786\) | 25294.2 | + | 28659.5i | 1.14785 | + | 1.30058i | ||||
\(787\) | −12128.8 | + | 10177.3i | −0.549361 | + | 0.460968i | −0.874724 | − | 0.484621i | \(-0.838958\pi\) |
0.325364 | + | 0.945589i | \(0.394513\pi\) | |||||||
\(788\) | 1613.37 | + | 9149.85i | 0.0729362 | + | 0.413642i | ||||
\(789\) | −1147.51 | + | 701.292i | −0.0517777 | + | 0.0316434i | ||||
\(790\) | −4509.60 | − | 3784.00i | −0.203094 | − | 0.170416i | ||||
\(791\) | 1428.87 | − | 2474.88i | 0.0642287 | − | 0.111247i | ||||
\(792\) | −1981.92 | − | 8680.26i | −0.0889196 | − | 0.389444i | ||||
\(793\) | −24428.6 | − | 42311.5i | −1.09393 | − | 1.89474i | ||||
\(794\) | 5187.60 | − | 29420.3i | 0.231865 | − | 1.31497i | ||||
\(795\) | −13324.3 | − | 2007.79i | −0.594421 | − | 0.0895712i | ||||
\(796\) | −21780.9 | − | 7927.58i | −0.969852 | − | 0.352997i | ||||
\(797\) | 28525.6 | + | 10382.5i | 1.26779 | + | 0.461437i | 0.886375 | − | 0.462967i | \(-0.153215\pi\) |
0.381413 | + | 0.924405i | \(0.375437\pi\) | |||||||
\(798\) | −11074.2 | − | 28213.3i | −0.491254 | − | 1.25155i | ||||
\(799\) | −1386.47 | + | 7863.05i | −0.0613889 | + | 0.348154i | ||||
\(800\) | 13032.4 | + | 22572.8i | 0.575956 | + | 0.997585i | ||||
\(801\) | −28183.6 | + | 11882.9i | −1.24322 | + | 0.524173i | ||||
\(802\) | −9371.86 | + | 16232.5i | −0.412633 | + | 0.714702i | ||||
\(803\) | 11838.9 | + | 9933.98i | 0.520279 | + | 0.436566i | ||||
\(804\) | 84.9742 | + | 3402.10i | 0.00372737 | + | 0.149233i | ||||
\(805\) | −2182.37 | − | 12376.8i | −0.0955508 | − | 0.541895i | ||||
\(806\) | −10295.2 | + | 8638.74i | −0.449919 | + | 0.377527i | ||||
\(807\) | 1809.18 | − | 5385.43i | 0.0789170 | − | 0.234914i | ||||
\(808\) | 17664.0 | − | 6429.16i | 0.769080 | − | 0.279922i | ||||
\(809\) | 12492.6 | 0.542913 | 0.271457 | − | 0.962451i | \(-0.412495\pi\) | ||||
0.271457 | + | 0.962451i | \(0.412495\pi\) | |||||||
\(810\) | 9460.36 | − | 9702.21i | 0.410374 | − | 0.420866i | ||||
\(811\) | −37598.6 | −1.62795 | −0.813974 | − | 0.580902i | \(-0.802700\pi\) | ||||
−0.813974 | + | 0.580902i | \(0.802700\pi\) | |||||||
\(812\) | −3883.51 | + | 1413.48i | −0.167838 | + | 0.0610880i | ||||
\(813\) | 1569.65 | − | 4672.41i | 0.0677121 | − | 0.201560i | ||||
\(814\) | 11558.2 | − | 9698.47i | 0.497684 | − | 0.417606i | ||||
\(815\) | −560.645 | − | 3179.58i | −0.0240964 | − | 0.136657i | ||||
\(816\) | 340.120 | + | 13617.4i | 0.0145914 | + | 0.584194i | ||||
\(817\) | 4893.08 | + | 4105.78i | 0.209532 | + | 0.175818i | ||||
\(818\) | 8033.49 | − | 13914.4i | 0.343379 | − | 0.594751i | ||||
\(819\) | −6200.53 | + | 49509.9i | −0.264547 | + | 2.11235i | ||||
\(820\) | −1334.85 | − | 2312.02i | −0.0568474 | − | 0.0984626i | ||||
\(821\) | 5247.81 | − | 29761.8i | 0.223081 | − | 1.26516i | −0.643237 | − | 0.765667i | \(-0.722409\pi\) |
0.866319 | − | 0.499491i | \(-0.166480\pi\) | |||||||
\(822\) | −11115.2 | − | 28317.8i | −0.471638 | − | 1.20158i | ||||
\(823\) | 4647.36 | + | 1691.50i | 0.196837 | + | 0.0716428i | 0.438558 | − | 0.898703i | \(-0.355490\pi\) |
−0.241721 | + | 0.970346i | \(0.577712\pi\) | |||||||
\(824\) | 11367.6 | + | 4137.47i | 0.480594 | + | 0.174922i | ||||
\(825\) | −15239.4 | − | 2296.37i | −0.643113 | − | 0.0969084i | ||||
\(826\) | 6396.00 | − | 36273.5i | 0.269425 | − | 1.52799i | ||||
\(827\) | 1750.28 | + | 3031.58i | 0.0735953 | + | 0.127471i | 0.900475 | − | 0.434909i | \(-0.143219\pi\) |
−0.826879 | + | 0.562380i | \(0.809886\pi\) | |||||||
\(828\) | 30432.9 | − | 28241.9i | 1.27731 | − | 1.18536i | ||||
\(829\) | −1059.09 | + | 1834.40i | −0.0443712 | + | 0.0768532i | −0.887358 | − | 0.461081i | \(-0.847462\pi\) |
0.842987 | + | 0.537934i | \(0.180795\pi\) | |||||||
\(830\) | −5503.28 | − | 4617.80i | −0.230147 | − | 0.193116i | ||||
\(831\) | 3282.90 | − | 2006.31i | 0.137043 | − | 0.0837524i | ||||
\(832\) | 12278.9 | + | 69637.3i | 0.511653 | + | 2.90173i | ||||
\(833\) | 4327.23 | − | 3630.98i | 0.179988 | − | 0.151028i | ||||
\(834\) | −10876.0 | − | 12323.1i | −0.451565 | − | 0.511646i | ||||
\(835\) | 2202.72 | − | 801.725i | 0.0912915 | − | 0.0332274i | ||||
\(836\) | 19707.1 | 0.815293 | ||||||||
\(837\) | −1304.00 | + | 4636.74i | −0.0538504 | + | 0.191480i | ||||
\(838\) | 39078.9 | 1.61093 | ||||||||
\(839\) | −6000.91 | + | 2184.15i | −0.246930 | + | 0.0898752i | −0.462520 | − | 0.886609i | \(-0.653055\pi\) |
0.215590 | + | 0.976484i | \(0.430833\pi\) | |||||||
\(840\) | −5295.16 | + | 1070.65i | −0.217501 | + | 0.0439774i | ||||
\(841\) | −18411.3 | + | 15448.9i | −0.754901 | + | 0.633437i | ||||
\(842\) | 9553.92 | + | 54183.0i | 0.391033 | + | 2.21766i | ||||
\(843\) | 14804.5 | + | 8061.35i | 0.604856 | + | 0.329357i | ||||
\(844\) | −23571.3 | − | 19778.6i | −0.961323 | − | 0.806645i | ||||
\(845\) | 12843.2 | − | 22245.1i | 0.522864 | − | 0.905627i | ||||
\(846\) | 6685.39 | + | 10349.3i | 0.271689 | + | 0.420585i | ||||
\(847\) | −5683.73 | − | 9844.51i | −0.230573 | − | 0.399364i | ||||
\(848\) | 3629.48 | − | 20583.8i | 0.146977 | − | 0.833549i | ||||
\(849\) | −5289.15 | + | 6632.90i | −0.213808 | + | 0.268128i | ||||
\(850\) | −32827.7 | − | 11948.3i | −1.32468 | − | 0.482146i | ||||
\(851\) | 16853.5 | + | 6134.16i | 0.678883 | + | 0.247093i | ||||
\(852\) | 3492.23 | − | 4379.46i | 0.140425 | − | 0.176101i | ||||
\(853\) | −2986.95 | + | 16939.8i | −0.119896 | + | 0.679964i | 0.864313 | + | 0.502954i | \(0.167754\pi\) |
−0.984209 | + | 0.177010i | \(0.943358\pi\) | |||||||
\(854\) | 23893.7 | + | 41385.2i | 0.957409 | + | 1.65828i | ||||
\(855\) | 4148.71 | + | 6422.38i | 0.165945 | + | 0.256890i | ||||
\(856\) | −7852.10 | + | 13600.2i | −0.313527 | + | 0.543045i | ||||
\(857\) | −27452.4 | − | 23035.3i | −1.09423 | − | 0.918169i | −0.0972075 | − | 0.995264i | \(-0.530991\pi\) |
−0.997024 | + | 0.0770951i | \(0.975435\pi\) | |||||||
\(858\) | −49722.7 | − | 27075.1i | −1.97844 | − | 1.07730i | ||||
\(859\) | 7336.06 | + | 41604.9i | 0.291389 | + | 1.65255i | 0.681527 | + | 0.731793i | \(0.261316\pi\) |
−0.390138 | + | 0.920757i | \(0.627573\pi\) | |||||||
\(860\) | 3421.34 | − | 2870.85i | 0.135659 | − | 0.113831i | ||||
\(861\) | 6026.07 | − | 1218.44i | 0.238522 | − | 0.0482279i | ||||
\(862\) | 24274.1 | − | 8835.03i | 0.959139 | − | 0.349098i | ||||
\(863\) | −42613.9 | −1.68088 | −0.840438 | − | 0.541908i | \(-0.817702\pi\) | ||||
−0.840438 | + | 0.541908i | \(0.817702\pi\) | |||||||
\(864\) | 23964.3 | + | 24563.7i | 0.943614 | + | 0.967216i | ||||
\(865\) | −9224.63 | −0.362597 | ||||||||
\(866\) | 20147.9 | − | 7333.24i | 0.790594 | − | 0.287753i | ||||
\(867\) | −2830.78 | − | 3207.41i | −0.110886 | − | 0.125639i | ||||
\(868\) | 5770.40 | − | 4841.94i | 0.225645 | − | 0.189339i | ||||
\(869\) | 1530.67 | + | 8680.85i | 0.0597518 | + | 0.338869i | ||||
\(870\) | 1552.38 | − | 948.720i | 0.0604948 | − | 0.0369708i | ||||
\(871\) | 4225.78 | + | 3545.85i | 0.164392 | + | 0.137941i | ||||
\(872\) | 5096.53 | − | 8827.45i | 0.197925 | − | 0.342815i | ||||
\(873\) | 22174.3 | − | 20578.0i | 0.859665 | − | 0.797776i | ||||
\(874\) | 20439.8 | + | 35402.8i | 0.791061 | + | 1.37016i | ||||
\(875\) | −3528.57 | + | 20011.5i | −0.136328 | + | 0.773157i | ||||
\(876\) | 30631.9 | + | 4615.81i | 1.18146 | + | 0.178029i | ||||
\(877\) | −1150.83 | − | 418.868i | −0.0443111 | − | 0.0161279i | 0.319770 | − | 0.947495i | \(-0.396395\pi\) |
−0.364081 | + | 0.931367i | \(0.618617\pi\) | |||||||
\(878\) | −41076.6 | − | 14950.6i | −1.57889 | − | 0.574670i | ||||
\(879\) | −10152.4 | − | 25865.1i | −0.389572 | − | 0.992500i | ||||
\(880\) | −718.405 | + | 4074.28i | −0.0275198 | + | 0.156073i | ||||
\(881\) | 18786.4 | + | 32539.1i | 0.718424 | + | 1.24435i | 0.961624 | + | 0.274370i | \(0.0884694\pi\) |
−0.243200 | + | 0.969976i | \(0.578197\pi\) | |||||||
\(882\) | 1083.21 | − | 8649.19i | 0.0413532 | − | 0.330197i | ||||
\(883\) | −4042.46 | + | 7001.74i | −0.154065 | + | 0.266849i | −0.932718 | − | 0.360606i | \(-0.882570\pi\) |
0.778653 | + | 0.627455i | \(0.215903\pi\) | |||||||
\(884\) | −56336.5 | − | 47272.0i | −2.14344 | − | 1.79856i | ||||
\(885\) | 232.005 | + | 9288.77i | 0.00881216 | + | 0.352812i | ||||
\(886\) | −13689.0 | − | 77634.4i | −0.519066 | − | 2.94377i | ||||
\(887\) | −8069.43 | + | 6771.06i | −0.305462 | + | 0.256313i | −0.782613 | − | 0.622508i | \(-0.786114\pi\) |
0.477151 | + | 0.878821i | \(0.341669\pi\) | |||||||
\(888\) | 2455.09 | − | 7308.13i | 0.0927786 | − | 0.276177i | ||||
\(889\) | 22603.6 | − | 8227.03i | 0.852755 | − | 0.310378i | ||||
\(890\) | −21057.6 | −0.793091 | ||||||||
\(891\) | −20189.7 | + | 2023.42i | −0.759126 | + | 0.0760800i | ||||
\(892\) | −53851.1 | −2.02138 | ||||||||
\(893\) | −6532.45 | + | 2377.62i | −0.244793 | + | 0.0890973i | ||||
\(894\) | −10646.5 | + | 31691.6i | −0.398290 | + | 1.18560i | ||||
\(895\) | −6983.48 | + | 5859.84i | −0.260818 | + | 0.218852i | ||||
\(896\) | −5066.30 | − | 28732.4i | −0.188899 | − | 1.07130i | ||||
\(897\) | −1680.40 | − | 67278.1i | −0.0625495 | − | 2.50429i | ||||
\(898\) | 29863.0 | + | 25058.0i | 1.10973 | + | 0.931176i | ||||
\(899\) | −323.332 | + | 560.027i | −0.0119952 | + | 0.0207764i | ||||
\(900\) | −28464.7 | + | 12001.5i | −1.05425 | + | 0.444499i | ||||
\(901\) | 22868.0 | + | 39608.6i | 0.845554 | + | 1.46454i | ||||
\(902\) | −1211.36 | + | 6869.99i | −0.0447162 | + | 0.253598i | ||||
\(903\) | 3758.00 | + | 9574.15i | 0.138492 | + | 0.352833i | ||||
\(904\) | 1556.93 | + | 566.677i | 0.0572818 | + | 0.0208489i | ||||
\(905\) | 14037.5 | + | 5109.25i | 0.515606 | + | 0.187665i | ||||
\(906\) | 69684.2 | + | 10500.5i | 2.55530 | + | 0.385049i | ||||
\(907\) | 7558.72 | − | 42867.6i | 0.276718 | − | 1.56934i | −0.456734 | − | 0.889603i | \(-0.650981\pi\) |
0.733452 | − | 0.679741i | \(-0.237908\pi\) | |||||||
\(908\) | 13048.9 | + | 22601.3i | 0.476919 | + | 0.826048i | ||||
\(909\) | −9535.69 | − | 41763.8i | −0.347942 | − | 1.52389i | ||||
\(910\) | −17176.1 | + | 29749.8i | −0.625693 | + | 1.08373i | ||||
\(911\) | 416.791 | + | 349.729i | 0.0151580 | + | 0.0127190i | 0.650335 | − | 0.759647i | \(-0.274628\pi\) |
−0.635177 | + | 0.772366i | \(0.719073\pi\) | |||||||
\(912\) | −10119.6 | + | 6184.52i | −0.367429 | + | 0.224550i | ||||
\(913\) | 1867.95 | + | 10593.7i | 0.0677110 | + | 0.384008i | ||||
\(914\) | −60256.7 | + | 50561.4i | −2.18065 | + | 1.82978i | ||||
\(915\) | −7977.01 | − | 9038.35i | −0.288210 | − | 0.326556i | ||||
\(916\) | −12306.9 | + | 4479.35i | −0.443921 | + | 0.161574i | ||||
\(917\) | −34728.7 | −1.25065 | ||||||||
\(918\) | −45767.1 | − | 4574.35i | −1.64547 | − | 0.164462i | ||||
\(919\) | −2288.18 | −0.0821328 | −0.0410664 | − | 0.999156i | \(-0.513076\pi\) | ||||
−0.0410664 | + | 0.999156i | \(0.513076\pi\) | |||||||
\(920\) | 6847.05 | − | 2492.12i | 0.245370 | − | 0.0893074i | ||||
\(921\) | −9611.29 | + | 1943.35i | −0.343869 | + | 0.0695283i | ||||
\(922\) | −26301.9 | + | 22069.9i | −0.939487 | + | 0.788323i | ||||
\(923\) | −1576.65 | − | 8941.61i | −0.0562253 | − | 0.318870i | ||||
\(924\) | 27869.2 | + | 15175.3i | 0.992238 | + | 0.540295i | ||||
\(925\) | −10222.5 | − | 8577.66i | −0.363365 | − | 0.304899i | ||||
\(926\) | −15589.1 | + | 27001.1i | −0.553228 | + | 0.958219i | ||||
\(927\) | 12575.2 | − | 24533.5i | 0.445550 | − | 0.869241i | ||||
\(928\) | 2303.66 | + | 3990.05i | 0.0814884 | + | 0.141142i | ||||
\(929\) | 2567.13 | − | 14558.9i | 0.0906618 | − | 0.514169i | −0.905329 | − | 0.424711i | \(-0.860376\pi\) |
0.995991 | − | 0.0894575i | \(-0.0285133\pi\) | |||||||
\(930\) | −2067.44 | + | 2592.69i | −0.0728967 | + | 0.0914168i | ||||
\(931\) | 4621.60 | + | 1682.13i | 0.162693 | + | 0.0592153i | ||||
\(932\) | 54341.2 | + | 19778.6i | 1.90988 | + | 0.695139i | ||||
\(933\) | 6227.73 | − | 7809.94i | 0.218528 | − | 0.274047i | ||||
\(934\) | 12321.5 | − | 69878.7i | 0.431662 | − | 2.44807i | ||||
\(935\) | −4526.41 | − | 7839.97i | −0.158320 | − | 0.274219i | ||||
\(936\) | −28892.8 | + | 1444.21i | −1.00896 | + | 0.0504331i | ||||
\(937\) | −2235.23 | + | 3871.53i | −0.0779313 | + | 0.134981i | −0.902357 | − | 0.430989i | \(-0.858165\pi\) |
0.824426 | + | 0.565970i | \(0.191498\pi\) | |||||||
\(938\) | −4133.26 | − | 3468.22i | −0.143876 | − | 0.120726i | ||||
\(939\) | −371.069 | − | 202.055i | −0.0128960 | − | 0.00702216i | ||||
\(940\) | 844.062 | + | 4786.91i | 0.0292875 | + | 0.166098i | ||||
\(941\) | 21159.9 | − | 17755.3i | 0.733044 | − | 0.615097i | −0.197916 | − | 0.980219i | \(-0.563417\pi\) |
0.930960 | + | 0.365122i | \(0.118973\pi\) | |||||||
\(942\) | −3887.52 | + | 786.035i | −0.134461 | + | 0.0271873i | ||||
\(943\) | −7792.16 | + | 2836.12i | −0.269086 | + | 0.0979392i | ||||
\(944\) | −14412.7 | −0.496923 | ||||||||
\(945\) | 921.460 | + | 12277.0i | 0.0317197 | + | 0.422615i | ||||
\(946\) | −11670.4 | −0.401097 | ||||||||
\(947\) | 32462.4 | − | 11815.4i | 1.11393 | − | 0.405436i | 0.281494 | − | 0.959563i | \(-0.409170\pi\) |
0.832432 | + | 0.554127i | \(0.186948\pi\) | |||||||
\(948\) | 11691.6 | + | 13247.2i | 0.400555 | + | 0.453849i | ||||
\(949\) | 38465.6 | − | 32276.5i | 1.31575 | − | 1.10405i | ||||
\(950\) | −5281.72 | − | 29954.1i | −0.180381 | − | 1.02299i | ||||
\(951\) | 10526.0 | − | 6432.87i | 0.358917 | − | 0.219348i | ||||
\(952\) | 14046.6 | + | 11786.5i | 0.478208 | + | 0.401264i | ||||
\(953\) | 14761.2 | − | 25567.2i | 0.501745 | − | 0.869047i | −0.498253 | − | 0.867031i | \(-0.666025\pi\) |
0.999998 | − | 0.00201555i | \(-0.000641571\pi\) | |||||||
\(954\) | 67442.1 | + | 20797.5i | 2.28880 | + | 0.705810i | ||||
\(955\) | 4207.56 | + | 7287.71i | 0.142569 | + | 0.246937i | ||||
\(956\) | 5183.22 | − | 29395.5i | 0.175353 | − | 0.994476i | ||||
\(957\) | −2693.78 | − | 405.916i | −0.0909900 | − | 0.0137110i | ||||
\(958\) | 75716.5 | + | 27558.6i | 2.55354 | + | 0.929412i | ||||
\(959\) | 25971.7 | + | 9452.93i | 0.874526 | + | 0.318301i | ||||
\(960\) | 6374.89 | + | 16241.1i | 0.214322 | + | 0.546021i | ||||
\(961\) | −4968.48 | + | 28177.6i | −0.166778 | + | 0.945844i | ||||
\(962\) | −24511.5 | − | 42455.1i | −0.821498 | − | 1.42288i | ||||
\(963\) | 28530.1 | + | 21607.3i | 0.954695 | + | 0.723038i | ||||
\(964\) | 14743.9 | − | 25537.1i | 0.492602 | − | 0.853211i | ||||
\(965\) | 13292.9 | + | 11154.1i | 0.443435 | + | 0.372086i | ||||
\(966\) | 1643.61 | + | 65805.1i | 0.0547435 | + | 2.19176i | ||||
\(967\) | 5498.58 | + | 31184.0i | 0.182857 | + | 1.03703i | 0.928678 | + | 0.370886i | \(0.120946\pi\) |
−0.745822 | + | 0.666145i | \(0.767943\pi\) | |||||||
\(968\) | 5048.67 | − | 4236.34i | 0.167635 | − | 0.140662i | ||||
\(969\) | 8264.28 | − | 24600.5i | 0.273980 | − | 0.815564i | ||||
\(970\) | 19571.1 | − | 7123.29i | 0.647824 | − | 0.235789i | ||||
\(971\) | 13353.2 | 0.441324 | 0.220662 | − | 0.975350i | \(-0.429178\pi\) | ||||
0.220662 | + | 0.975350i | \(0.429178\pi\) | |||||||
\(972\) | −32416.1 | + | 24564.1i | −1.06970 | + | 0.810590i | ||||
\(973\) | 14932.7 | 0.492004 | ||||||||
\(974\) | −68770.8 | + | 25030.5i | −2.26238 | + | 0.823439i | ||||
\(975\) | −15945.9 | + | 47466.6i | −0.523771 | + | 1.55912i | ||||
\(976\) | 14324.4 | − | 12019.6i | 0.469788 | − | 0.394199i | ||||
\(977\) | 790.511 | + | 4483.21i | 0.0258861 | + | 0.146807i | 0.995011 | − | 0.0997616i | \(-0.0318080\pi\) |
−0.969125 | + | 0.246569i | \(0.920697\pi\) | |||||||
\(978\) | 422.239 | + | 16905.2i | 0.0138054 | + | 0.552728i | ||||
\(979\) | 24154.0 | + | 20267.6i | 0.788524 | + | 0.661650i | ||||
\(980\) | 1719.45 | − | 2978.18i | 0.0560469 | − | 0.0970761i | ||||
\(981\) | −18517.9 | − | 14024.6i | −0.602683 | − | 0.456442i | ||||
\(982\) | −15408.5 | − | 26688.4i | −0.500719 | − | 0.867272i | ||||
\(983\) | −2293.62 | + | 13007.7i | −0.0744202 | + | 0.422058i | 0.924722 | + | 0.380643i | \(0.124297\pi\) |
−0.999142 | + | 0.0414143i | \(0.986814\pi\) | |||||||
\(984\) | 1302.37 | + | 3318.02i | 0.0421933 | + | 0.107494i | ||||
\(985\) | 3491.88 | + | 1270.94i | 0.112955 | + | 0.0411122i | ||||
\(986\) | −5802.75 | − | 2112.03i | −0.187421 | − | 0.0682158i | ||||
\(987\) | −11068.8 | − | 1667.92i | −0.356966 | − | 0.0537899i | ||||
\(988\) | 11118.8 | − | 63057.7i | 0.358032 | − | 2.03050i | ||||
\(989\) | −6936.23 | − | 12013.9i | −0.223012 | − | 0.386269i | ||||
\(990\) | −13349.2 | − | 4116.57i | −0.428552 | − | 0.132155i | ||||
\(991\) | 21023.0 | − | 36413.0i | 0.673884 | − | 1.16720i | −0.302910 | − | 0.953019i | \(-0.597958\pi\) |
0.976794 | − | 0.214182i | \(-0.0687086\pi\) | |||||||
\(992\) | −6433.03 | − | 5397.95i | −0.205896 | − | 0.172767i | ||||
\(993\) | 4651.58 | − | 2842.77i | 0.148654 | − | 0.0908484i | ||||
\(994\) | 1542.13 | + | 8745.84i | 0.0492086 | + | 0.279076i | ||||
\(995\) | −7101.56 | + | 5958.92i | −0.226266 | + | 0.189860i | ||||
\(996\) | 14267.9 | + | 16166.2i | 0.453911 | + | 0.514303i | ||||
\(997\) | −25253.5 | + | 9191.51i | −0.802192 | + | 0.291974i | −0.710395 | − | 0.703804i | \(-0.751483\pi\) |
−0.0917976 | + | 0.995778i | \(0.529261\pi\) | |||||||
\(998\) | 94241.6 | 2.98914 | ||||||||
\(999\) | −15830.4 | − | 7621.27i | −0.501353 | − | 0.241368i |
(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 | 27.4.e.a.7.8 | yes | 48 | |
3.2 | odd | 2 | 81.4.e.a.19.1 | 48 | |||
9.2 | odd | 6 | 243.4.e.a.136.8 | 48 | |||
9.4 | even | 3 | 243.4.e.c.217.1 | 48 | |||
9.5 | odd | 6 | 243.4.e.b.217.8 | 48 | |||
9.7 | even | 3 | 243.4.e.d.136.1 | 48 | |||
27.2 | odd | 18 | 729.4.a.c.1.22 | 24 | |||
27.4 | even | 9 | inner | 27.4.e.a.4.8 | ✓ | 48 | |
27.5 | odd | 18 | 243.4.e.b.28.8 | 48 | |||
27.13 | even | 9 | 243.4.e.d.109.1 | 48 | |||
27.14 | odd | 18 | 243.4.e.a.109.8 | 48 | |||
27.22 | even | 9 | 243.4.e.c.28.1 | 48 | |||
27.23 | odd | 18 | 81.4.e.a.64.1 | 48 | |||
27.25 | even | 9 | 729.4.a.d.1.3 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
27.4.e.a.4.8 | ✓ | 48 | 27.4 | even | 9 | inner | |
27.4.e.a.7.8 | yes | 48 | 1.1 | even | 1 | trivial | |
81.4.e.a.19.1 | 48 | 3.2 | odd | 2 | |||
81.4.e.a.64.1 | 48 | 27.23 | odd | 18 | |||
243.4.e.a.109.8 | 48 | 27.14 | odd | 18 | |||
243.4.e.a.136.8 | 48 | 9.2 | odd | 6 | |||
243.4.e.b.28.8 | 48 | 27.5 | odd | 18 | |||
243.4.e.b.217.8 | 48 | 9.5 | odd | 6 | |||
243.4.e.c.28.1 | 48 | 27.22 | even | 9 | |||
243.4.e.c.217.1 | 48 | 9.4 | even | 3 | |||
243.4.e.d.109.1 | 48 | 27.13 | even | 9 | |||
243.4.e.d.136.1 | 48 | 9.7 | even | 3 | |||
729.4.a.c.1.22 | 24 | 27.2 | odd | 18 | |||
729.4.a.d.1.3 | 24 | 27.25 | even | 9 |