Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [23,4,Mod(2,23)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(23, base_ring=CyclotomicField(22))
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("23.2");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 23 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 23.c (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: | \(1.35704393013\) |
Analytic rank: | \(0\) |
Dimension: | \(50\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 2.1 | ||
Character | \(\chi\) | \(=\) | 23.2 |
Dual form | 23.4.c.a.12.1 |
$q$-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 \(\left(\mathbb{Z}/23\mathbb{Z}\right)^\times\).
\(n\) | \(5\) |
\(\chi(n)\) | \(e\left(\frac{1}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.24175 | − | 2.08335i | −1.14613 | − | 0.736574i | −0.177266 | − | 0.984163i | \(-0.556725\pi\) |
−0.968865 | + | 0.247589i | \(0.920362\pi\) | |||||||
\(3\) | 1.21610 | + | 8.45817i | 0.234039 | + | 1.62778i | 0.680343 | + | 0.732894i | \(0.261831\pi\) |
−0.446304 | + | 0.894881i | \(0.647260\pi\) | |||||||
\(4\) | 2.84529 | + | 6.23031i | 0.355661 | + | 0.778789i | ||||
\(5\) | 12.7969 | + | 3.75752i | 1.14459 | + | 0.336083i | 0.798428 | − | 0.602090i | \(-0.205665\pi\) |
0.346166 | + | 0.938173i | \(0.387484\pi\) | |||||||
\(6\) | 13.6790 | − | 29.9528i | 0.930738 | − | 2.03803i | ||||
\(7\) | −11.3462 | + | 13.0942i | −0.612637 | + | 0.707021i | −0.974291 | − | 0.225291i | \(-0.927667\pi\) |
0.361654 | + | 0.932312i | \(0.382212\pi\) | |||||||
\(8\) | −0.631070 | + | 4.38919i | −0.0278896 | + | 0.193977i | ||||
\(9\) | −44.1554 | + | 12.9652i | −1.63539 | + | 0.480193i | ||||
\(10\) | −33.6563 | − | 38.8414i | −1.06430 | − | 1.22827i | ||||
\(11\) | 45.2432 | − | 29.0760i | 1.24012 | − | 0.796977i | 0.254685 | − | 0.967024i | \(-0.418028\pi\) |
0.985436 | + | 0.170047i | \(0.0543919\pi\) | |||||||
\(12\) | −49.2369 | + | 31.6426i | −1.18446 | + | 0.761203i | ||||
\(13\) | −27.2602 | − | 31.4600i | −0.581587 | − | 0.671187i | 0.386358 | − | 0.922349i | \(-0.373733\pi\) |
−0.967945 | + | 0.251162i | \(0.919187\pi\) | |||||||
\(14\) | 64.0613 | − | 18.8101i | 1.22294 | − | 0.359086i | ||||
\(15\) | −16.2194 | + | 112.808i | −0.279188 | + | 1.94180i | ||||
\(16\) | 47.0725 | − | 54.3245i | 0.735508 | − | 0.848821i | ||||
\(17\) | 14.8231 | − | 32.4581i | 0.211478 | − | 0.463073i | −0.773932 | − | 0.633269i | \(-0.781713\pi\) |
0.985410 | + | 0.170196i | \(0.0544400\pi\) | |||||||
\(18\) | 170.152 | + | 49.9611i | 2.22806 | + | 0.654219i | ||||
\(19\) | 8.29844 | + | 18.1710i | 0.100200 | + | 0.219406i | 0.953092 | − | 0.302680i | \(-0.0978812\pi\) |
−0.852893 | + | 0.522086i | \(0.825154\pi\) | |||||||
\(20\) | 13.0005 | + | 90.4202i | 0.145350 | + | 1.01093i | ||||
\(21\) | −124.551 | − | 80.0442i | −1.29425 | − | 0.831765i | ||||
\(22\) | −207.242 | −2.00837 | ||||||||
\(23\) | 89.7322 | + | 64.1492i | 0.813499 | + | 0.581567i | ||||
\(24\) | −37.8919 | −0.322277 | ||||||||
\(25\) | 44.4861 | + | 28.5895i | 0.355889 | + | 0.228716i | ||||
\(26\) | 22.8288 | + | 158.778i | 0.172196 | + | 1.19765i | ||||
\(27\) | −67.5152 | − | 147.838i | −0.481233 | − | 1.05375i | ||||
\(28\) | −113.864 | − | 33.4335i | −0.768511 | − | 0.225655i | ||||
\(29\) | 77.8452 | − | 170.457i | 0.498465 | − | 1.09149i | −0.478500 | − | 0.878087i | \(-0.658819\pi\) |
0.976965 | − | 0.213399i | \(-0.0684533\pi\) | |||||||
\(30\) | 287.598 | − | 331.905i | 1.75026 | − | 2.01991i | ||||
\(31\) | −0.302527 | + | 2.10412i | −0.00175276 | + | 0.0121907i | −0.990679 | − | 0.136217i | \(-0.956506\pi\) |
0.988926 | + | 0.148407i | \(0.0474147\pi\) | |||||||
\(32\) | −231.736 | + | 68.0439i | −1.28017 | + | 0.375893i | ||||
\(33\) | 300.950 | + | 347.315i | 1.58754 | + | 1.83211i | ||||
\(34\) | −115.674 | + | 74.3393i | −0.583470 | + | 0.374973i | ||||
\(35\) | −194.398 | + | 124.932i | −0.938838 | + | 0.603355i | ||||
\(36\) | −206.412 | − | 238.212i | −0.955612 | − | 1.10283i | ||||
\(37\) | 99.0257 | − | 29.0766i | 0.439993 | − | 0.129194i | −0.0542307 | − | 0.998528i | \(-0.517271\pi\) |
0.494223 | + | 0.869335i | \(0.335452\pi\) | |||||||
\(38\) | 10.9551 | − | 76.1945i | 0.0467672 | − | 0.325273i | ||||
\(39\) | 232.943 | − | 268.830i | 0.956428 | − | 1.10378i | ||||
\(40\) | −24.5682 | + | 53.7969i | −0.0971145 | + | 0.212651i | ||||
\(41\) | −457.540 | − | 134.346i | −1.74282 | − | 0.511739i | −0.753497 | − | 0.657451i | \(-0.771635\pi\) |
−0.989327 | + | 0.145711i | \(0.953453\pi\) | |||||||
\(42\) | 237.004 | + | 518.966i | 0.870726 | + | 1.90662i | ||||
\(43\) | 1.21166 | + | 8.42730i | 0.00429714 | + | 0.0298872i | 0.991857 | − | 0.127355i | \(-0.0406487\pi\) |
−0.987560 | + | 0.157242i | \(0.949740\pi\) | |||||||
\(44\) | 309.883 | + | 199.149i | 1.06174 | + | 0.682339i | ||||
\(45\) | −613.771 | −2.03324 | ||||||||
\(46\) | −157.244 | − | 394.899i | −0.504009 | − | 1.26575i | ||||
\(47\) | 239.887 | 0.744493 | 0.372246 | − | 0.928134i | \(-0.378588\pi\) | ||||
0.372246 | + | 0.928134i | \(0.378588\pi\) | |||||||
\(48\) | 516.731 | + | 332.083i | 1.55383 | + | 0.998584i | ||||
\(49\) | 6.09187 | + | 42.3699i | 0.0177606 | + | 0.123527i | ||||
\(50\) | −84.6511 | − | 185.360i | −0.239429 | − | 0.524277i | ||||
\(51\) | 292.562 | + | 85.9041i | 0.803273 | + | 0.235862i | ||||
\(52\) | 118.442 | − | 259.353i | 0.315865 | − | 0.691649i | ||||
\(53\) | 49.4924 | − | 57.1173i | 0.128270 | − | 0.148031i | −0.687981 | − | 0.725728i | \(-0.741503\pi\) |
0.816251 | + | 0.577697i | \(0.196048\pi\) | |||||||
\(54\) | −89.1296 | + | 619.910i | −0.224611 | + | 1.56220i | ||||
\(55\) | 688.228 | − | 202.082i | 1.68728 | − | 0.495432i | ||||
\(56\) | −50.3127 | − | 58.0639i | −0.120059 | − | 0.138556i | ||||
\(57\) | −143.602 | + | 92.2874i | −0.333694 | + | 0.214452i | ||||
\(58\) | −607.476 | + | 390.401i | −1.37527 | + | 0.883830i | ||||
\(59\) | 136.622 | + | 157.670i | 0.301469 | + | 0.347913i | 0.886191 | − | 0.463320i | \(-0.153342\pi\) |
−0.584722 | + | 0.811234i | \(0.698797\pi\) | |||||||
\(60\) | −748.979 | + | 219.920i | −1.61155 | + | 0.473193i | ||||
\(61\) | −45.8150 | + | 318.650i | −0.0961641 | + | 0.668836i | 0.883535 | + | 0.468364i | \(0.155157\pi\) |
−0.979699 | + | 0.200472i | \(0.935753\pi\) | |||||||
\(62\) | 5.36433 | − | 6.19077i | 0.0109882 | − | 0.0126811i | ||||
\(63\) | 331.227 | − | 725.286i | 0.662392 | − | 1.45044i | ||||
\(64\) | 341.231 | + | 100.194i | 0.666466 | + | 0.195692i | ||||
\(65\) | −230.636 | − | 505.023i | −0.440106 | − | 0.963698i | ||||
\(66\) | −252.028 | − | 1752.89i | −0.470037 | − | 3.26918i | ||||
\(67\) | −583.925 | − | 375.266i | −1.06474 | − | 0.684269i | −0.113759 | − | 0.993508i | \(-0.536289\pi\) |
−0.950984 | + | 0.309240i | \(0.899926\pi\) | |||||||
\(68\) | 244.400 | 0.435851 | ||||||||
\(69\) | −433.462 | + | 836.982i | −0.756270 | + | 1.46030i | ||||
\(70\) | 890.468 | 1.52045 | ||||||||
\(71\) | 76.1783 | + | 48.9568i | 0.127334 | + | 0.0818325i | 0.602757 | − | 0.797925i | \(-0.294069\pi\) |
−0.475423 | + | 0.879757i | \(0.657705\pi\) | |||||||
\(72\) | −29.0415 | − | 201.988i | −0.0475358 | − | 0.330619i | ||||
\(73\) | 44.1089 | + | 96.5851i | 0.0707200 | + | 0.154855i | 0.941691 | − | 0.336480i | \(-0.109236\pi\) |
−0.870971 | + | 0.491335i | \(0.836509\pi\) | |||||||
\(74\) | −381.593 | − | 112.046i | −0.599450 | − | 0.176014i | ||||
\(75\) | −187.715 | + | 411.039i | −0.289007 | + | 0.632836i | ||||
\(76\) | −89.5998 | + | 103.404i | −0.135234 | + | 0.156069i | ||||
\(77\) | −132.610 | + | 922.326i | −0.196264 | + | 1.36505i | ||||
\(78\) | −1315.21 | + | 386.180i | −1.90921 | + | 0.560593i | ||||
\(79\) | −373.412 | − | 430.940i | −0.531799 | − | 0.613728i | 0.424747 | − | 0.905312i | \(-0.360363\pi\) |
−0.956545 | + | 0.291584i | \(0.905818\pi\) | |||||||
\(80\) | 806.510 | − | 518.312i | 1.12713 | − | 0.724364i | ||||
\(81\) | 123.050 | − | 79.0792i | 0.168792 | − | 0.108476i | ||||
\(82\) | 1203.34 | + | 1388.73i | 1.62057 | + | 1.87024i | ||||
\(83\) | −713.068 | + | 209.376i | −0.943005 | + | 0.276891i | −0.716872 | − | 0.697205i | \(-0.754427\pi\) |
−0.226133 | + | 0.974096i | \(0.572608\pi\) | |||||||
\(84\) | 144.316 | − | 1003.74i | 0.187455 | − | 1.30378i | ||||
\(85\) | 311.653 | − | 359.666i | 0.397688 | − | 0.458956i | ||||
\(86\) | 13.6291 | − | 29.8435i | 0.0170891 | − | 0.0374199i | ||||
\(87\) | 1536.42 | + | 451.134i | 1.89335 | + | 0.555939i | ||||
\(88\) | 99.0685 | + | 216.930i | 0.120008 | + | 0.262782i | ||||
\(89\) | −79.7950 | − | 554.987i | −0.0950366 | − | 0.660994i | −0.980534 | − | 0.196350i | \(-0.937091\pi\) |
0.885497 | − | 0.464644i | \(-0.153818\pi\) | |||||||
\(90\) | 1989.69 | + | 1278.70i | 2.33036 | + | 1.49763i | ||||
\(91\) | 721.244 | 0.830845 | ||||||||
\(92\) | −144.356 | + | 741.583i | −0.163588 | + | 0.840384i | ||||
\(93\) | −18.1649 | −0.0202539 | ||||||||
\(94\) | −777.655 | − | 499.768i | −0.853287 | − | 0.548374i | ||||
\(95\) | 37.9165 | + | 263.715i | 0.0409490 | + | 0.284807i | ||||
\(96\) | −857.342 | − | 1877.32i | −0.911480 | − | 1.99586i | ||||
\(97\) | −538.454 | − | 158.104i | −0.563626 | − | 0.165495i | −0.0125062 | − | 0.999922i | \(-0.503981\pi\) |
−0.551119 | + | 0.834426i | \(0.685799\pi\) | |||||||
\(98\) | 68.5229 | − | 150.044i | 0.0706312 | − | 0.154661i | ||||
\(99\) | −1620.75 | + | 1870.45i | −1.64537 | + | 1.89886i | ||||
\(100\) | −51.5457 | + | 358.508i | −0.0515457 | + | 0.358508i | ||||
\(101\) | 1467.28 | − | 430.833i | 1.44555 | − | 0.424450i | 0.537479 | − | 0.843277i | \(-0.319377\pi\) |
0.908066 | + | 0.418827i | \(0.137559\pi\) | |||||||
\(102\) | −769.446 | − | 887.988i | −0.746926 | − | 0.861999i | ||||
\(103\) | −1591.23 | + | 1022.62i | −1.52222 | + | 0.978270i | −0.530807 | + | 0.847493i | \(0.678111\pi\) |
−0.991412 | + | 0.130777i | \(0.958253\pi\) | |||||||
\(104\) | 155.287 | − | 99.7969i | 0.146415 | − | 0.0940951i | ||||
\(105\) | −1293.11 | − | 1492.32i | −1.20185 | − | 1.38701i | ||||
\(106\) | −279.437 | + | 82.0501i | −0.256050 | + | 0.0751831i | ||||
\(107\) | 98.6006 | − | 685.782i | 0.0890848 | − | 0.619599i | −0.895548 | − | 0.444964i | \(-0.853216\pi\) |
0.984633 | − | 0.174635i | \(-0.0558744\pi\) | |||||||
\(108\) | 728.974 | − | 841.281i | 0.649496 | − | 0.749558i | ||||
\(109\) | 124.876 | − | 273.441i | 0.109734 | − | 0.240283i | −0.846796 | − | 0.531917i | \(-0.821472\pi\) |
0.956530 | + | 0.291634i | \(0.0941989\pi\) | |||||||
\(110\) | −2652.07 | − | 778.718i | −2.29877 | − | 0.674980i | ||||
\(111\) | 366.360 | + | 802.216i | 0.313273 | + | 0.685973i | ||||
\(112\) | 177.243 | + | 1232.75i | 0.149535 | + | 1.04004i | ||||
\(113\) | 369.752 | + | 237.625i | 0.307817 | + | 0.197822i | 0.685424 | − | 0.728144i | \(-0.259617\pi\) |
−0.377607 | + | 0.925966i | \(0.623253\pi\) | |||||||
\(114\) | 657.788 | 0.540417 | ||||||||
\(115\) | 907.256 | + | 1158.09i | 0.735670 | + | 0.939061i | ||||
\(116\) | 1283.49 | 1.02732 | ||||||||
\(117\) | 1611.57 | + | 1035.69i | 1.27342 | + | 0.818376i | ||||
\(118\) | −114.413 | − | 795.757i | −0.0892588 | − | 0.620809i | ||||
\(119\) | 256.827 | + | 562.373i | 0.197843 | + | 0.433215i | ||||
\(120\) | −484.901 | − | 142.380i | −0.368877 | − | 0.108312i | ||||
\(121\) | 648.612 | − | 1420.26i | 0.487312 | − | 1.06706i | ||||
\(122\) | 812.380 | − | 937.536i | 0.602864 | − | 0.695742i | ||||
\(123\) | 579.906 | − | 4033.33i | 0.425108 | − | 2.95669i | ||||
\(124\) | −13.9701 | + | 4.10200i | −0.0101174 | + | 0.00297073i | ||||
\(125\) | −629.890 | − | 726.931i | −0.450712 | − | 0.520150i | ||||
\(126\) | −2584.78 | + | 1661.13i | −1.82754 | + | 1.17449i | ||||
\(127\) | 1267.62 | − | 814.647i | 0.885691 | − | 0.569199i | −0.0168236 | − | 0.999858i | \(-0.505355\pi\) |
0.902515 | + | 0.430659i | \(0.141719\pi\) | |||||||
\(128\) | 367.849 | + | 424.521i | 0.254012 | + | 0.293146i | ||||
\(129\) | −69.8060 | + | 20.4969i | −0.0476440 | + | 0.0139895i | ||||
\(130\) | −304.472 | + | 2117.65i | −0.205415 | + | 1.42870i | ||||
\(131\) | −1741.65 | + | 2009.97i | −1.16159 | + | 1.34055i | −0.231673 | + | 0.972794i | \(0.574420\pi\) |
−0.929921 | + | 0.367758i | \(0.880125\pi\) | |||||||
\(132\) | −1307.59 | + | 2863.22i | −0.862206 | + | 1.88797i | ||||
\(133\) | −332.091 | − | 97.5107i | −0.216511 | − | 0.0635733i | ||||
\(134\) | 1111.13 | + | 2433.03i | 0.716321 | + | 1.56852i | ||||
\(135\) | −308.485 | − | 2145.56i | −0.196668 | − | 1.36785i | ||||
\(136\) | 133.110 | + | 85.5447i | 0.0839272 | + | 0.0539368i | ||||
\(137\) | −437.110 | −0.272590 | −0.136295 | − | 0.990668i | \(-0.543519\pi\) | ||||
−0.136295 | + | 0.990668i | \(0.543519\pi\) | |||||||
\(138\) | 3148.90 | − | 1810.24i | 1.94241 | − | 1.11665i | ||||
\(139\) | −2.56348 | −0.00156425 | −0.000782127 | − | 1.00000i | \(-0.500249\pi\) | ||||
−0.000782127 | 1.00000i | \(0.500249\pi\) | ||||||||
\(140\) | −1331.49 | − | 855.694i | −0.803794 | − | 0.516567i | ||||
\(141\) | 291.727 | + | 2029.01i | 0.174240 | + | 1.21187i | ||||
\(142\) | −144.957 | − | 317.412i | −0.0856657 | − | 0.187582i | ||||
\(143\) | −2148.07 | − | 630.731i | −1.25616 | − | 0.368842i | ||||
\(144\) | −1374.18 | + | 3009.03i | −0.795241 | + | 1.74133i | ||||
\(145\) | 1636.68 | − | 1888.83i | 0.937370 | − | 1.08178i | ||||
\(146\) | 58.2300 | − | 404.999i | 0.0330079 | − | 0.229575i | ||||
\(147\) | −350.964 | + | 103.052i | −0.196918 | + | 0.0578204i | ||||
\(148\) | 462.913 | + | 534.230i | 0.257103 | + | 0.296712i | ||||
\(149\) | 2034.14 | − | 1307.26i | 1.11841 | − | 0.718760i | 0.155303 | − | 0.987867i | \(-0.450365\pi\) |
0.963110 | + | 0.269106i | \(0.0867284\pi\) | |||||||
\(150\) | 1464.86 | − | 941.410i | 0.797370 | − | 0.512439i | ||||
\(151\) | 84.3251 | + | 97.3163i | 0.0454455 | + | 0.0524470i | 0.778017 | − | 0.628243i | \(-0.216226\pi\) |
−0.732572 | + | 0.680690i | \(0.761680\pi\) | |||||||
\(152\) | −84.9930 | + | 24.9562i | −0.0453542 | + | 0.0133172i | ||||
\(153\) | −233.695 | + | 1625.38i | −0.123484 | + | 0.858853i | ||||
\(154\) | 2351.41 | − | 2713.68i | 1.23040 | − | 1.41996i | ||||
\(155\) | −11.7777 | + | 25.7896i | −0.00610328 | + | 0.0133643i | ||||
\(156\) | 2337.69 | + | 686.407i | 1.19977 | + | 0.352285i | ||||
\(157\) | −830.268 | − | 1818.03i | −0.422055 | − | 0.924171i | −0.994550 | − | 0.104263i | \(-0.966752\pi\) |
0.572495 | − | 0.819908i | \(-0.305976\pi\) | |||||||
\(158\) | 312.710 | + | 2174.95i | 0.157455 | + | 1.09512i | ||||
\(159\) | 543.296 | + | 349.155i | 0.270982 | + | 0.174150i | ||||
\(160\) | −3221.19 | −1.59161 | ||||||||
\(161\) | −1858.10 | + | 447.123i | −0.909559 | + | 0.218871i | ||||
\(162\) | −563.645 | −0.273359 | ||||||||
\(163\) | −2359.29 | − | 1516.22i | −1.13370 | − | 0.728587i | −0.167373 | − | 0.985894i | \(-0.553529\pi\) |
−0.966330 | + | 0.257307i | \(0.917165\pi\) | |||||||
\(164\) | −464.817 | − | 3232.87i | −0.221318 | − | 1.53930i | ||||
\(165\) | 2546.20 | + | 5575.40i | 1.20134 | + | 2.63057i | ||||
\(166\) | 2747.79 | + | 806.824i | 1.28476 | + | 0.377239i | ||||
\(167\) | 388.976 | − | 851.738i | 0.180239 | − | 0.394667i | −0.797850 | − | 0.602856i | \(-0.794029\pi\) |
0.978089 | + | 0.208188i | \(0.0667567\pi\) | |||||||
\(168\) | 429.929 | − | 496.165i | 0.197439 | − | 0.227857i | ||||
\(169\) | 66.0550 | − | 459.423i | 0.0300660 | − | 0.209114i | ||||
\(170\) | −1759.61 | + | 516.668i | −0.793858 | + | 0.233098i | ||||
\(171\) | −602.012 | − | 694.759i | −0.269222 | − | 0.310699i | ||||
\(172\) | −49.0572 | + | 31.5271i | −0.0217475 | + | 0.0139763i | ||||
\(173\) | −1505.56 | + | 967.563i | −0.661650 | + | 0.425216i | −0.827906 | − | 0.560866i | \(-0.810468\pi\) |
0.166257 | + | 0.986082i | \(0.446832\pi\) | |||||||
\(174\) | −4040.83 | − | 4663.36i | −1.76054 | − | 2.03177i | ||||
\(175\) | −879.105 | + | 258.129i | −0.379738 | + | 0.111501i | ||||
\(176\) | 550.167 | − | 3826.50i | 0.235627 | − | 1.63882i | ||||
\(177\) | −1167.45 | + | 1347.31i | −0.495770 | + | 0.572149i | ||||
\(178\) | −897.554 | + | 1965.37i | −0.377947 | + | 0.827587i | ||||
\(179\) | 4347.88 | + | 1276.65i | 1.81551 | + | 0.533082i | 0.999019 | − | 0.0442784i | \(-0.0140989\pi\) |
0.816490 | + | 0.577360i | \(0.195917\pi\) | |||||||
\(180\) | −1746.36 | − | 3823.99i | −0.723143 | − | 1.58346i | ||||
\(181\) | 321.559 | + | 2236.49i | 0.132051 | + | 0.918437i | 0.942875 | + | 0.333146i | \(0.108110\pi\) |
−0.810824 | + | 0.585290i | \(0.800981\pi\) | |||||||
\(182\) | −2338.09 | − | 1502.60i | −0.952258 | − | 0.611979i | ||||
\(183\) | −2750.92 | −1.11122 | ||||||||
\(184\) | −338.190 | + | 353.369i | −0.135498 | + | 0.141580i | ||||
\(185\) | 1376.48 | 0.547033 | ||||||||
\(186\) | 58.8861 | + | 37.8438i | 0.0232137 | + | 0.0149185i | ||||
\(187\) | −273.107 | − | 1899.50i | −0.106800 | − | 0.742810i | ||||
\(188\) | 682.549 | + | 1494.57i | 0.264787 | + | 0.579803i | ||||
\(189\) | 2701.86 | + | 793.336i | 1.03985 | + | 0.305327i | ||||
\(190\) | 426.494 | − | 933.892i | 0.162848 | − | 0.356588i | ||||
\(191\) | −1965.04 | + | 2267.78i | −0.744425 | + | 0.859113i | −0.994016 | − | 0.109239i | \(-0.965159\pi\) |
0.249590 | + | 0.968352i | \(0.419704\pi\) | |||||||
\(192\) | −432.490 | + | 3008.03i | −0.162564 | + | 1.13066i | ||||
\(193\) | −675.793 | + | 198.431i | −0.252045 | + | 0.0740070i | −0.405314 | − | 0.914177i | \(-0.632838\pi\) |
0.153270 | + | 0.988184i | \(0.451020\pi\) | |||||||
\(194\) | 1416.15 | + | 1634.32i | 0.524089 | + | 0.604831i | ||||
\(195\) | 3991.09 | − | 2564.92i | 1.46568 | − | 0.941937i | ||||
\(196\) | −246.645 | + | 158.509i | −0.0898851 | + | 0.0577656i | ||||
\(197\) | 3060.96 | + | 3532.53i | 1.10703 | + | 1.27758i | 0.957378 | + | 0.288837i | \(0.0932685\pi\) |
0.149648 | + | 0.988739i | \(0.452186\pi\) | |||||||
\(198\) | 9150.87 | − | 2686.94i | 3.28447 | − | 0.964406i | ||||
\(199\) | −622.170 | + | 4327.29i | −0.221630 | + | 1.54147i | 0.510241 | + | 0.860031i | \(0.329556\pi\) |
−0.731872 | + | 0.681442i | \(0.761353\pi\) | |||||||
\(200\) | −153.559 | + | 177.216i | −0.0542912 | + | 0.0626553i | ||||
\(201\) | 2463.95 | − | 5395.30i | 0.864645 | − | 1.89331i | ||||
\(202\) | −5654.14 | − | 1660.20i | −1.96942 | − | 0.578275i | ||||
\(203\) | 1348.75 | + | 2953.36i | 0.466325 | + | 1.02111i | ||||
\(204\) | 297.215 | + | 2067.18i | 0.102006 | + | 0.709467i | ||||
\(205\) | −5350.31 | − | 3438.44i | −1.82284 | − | 1.17147i | ||||
\(206\) | 7288.84 | 2.46523 | ||||||||
\(207\) | −4793.87 | − | 1669.14i | −1.60965 | − | 0.560450i | ||||
\(208\) | −2992.26 | −0.997480 | ||||||||
\(209\) | 903.789 | + | 580.830i | 0.299122 | + | 0.192234i | ||||
\(210\) | 1082.90 | + | 7531.73i | 0.355844 | + | 2.47495i | ||||
\(211\) | −202.422 | − | 443.243i | −0.0660442 | − | 0.144617i | 0.873731 | − | 0.486409i | \(-0.161693\pi\) |
−0.939776 | + | 0.341792i | \(0.888966\pi\) | |||||||
\(212\) | 496.679 | + | 145.838i | 0.160906 | + | 0.0472462i | ||||
\(213\) | −321.445 | + | 703.866i | −0.103404 | + | 0.226423i | ||||
\(214\) | −1748.36 | + | 2017.71i | −0.558483 | + | 0.644524i | ||||
\(215\) | −16.1602 | + | 112.397i | −0.00512612 | + | 0.0356529i | ||||
\(216\) | 691.494 | − | 203.041i | 0.217825 | − | 0.0639592i | ||||
\(217\) | −24.1193 | − | 27.8351i | −0.00754527 | − | 0.00870771i | ||||
\(218\) | −974.490 | + | 626.266i | −0.302756 | + | 0.194569i | ||||
\(219\) | −763.292 | + | 490.538i | −0.235518 | + | 0.151358i | ||||
\(220\) | 3217.24 | + | 3712.89i | 0.985938 | + | 1.13783i | ||||
\(221\) | −1425.21 | + | 418.480i | −0.433802 | + | 0.127376i | ||||
\(222\) | 483.647 | − | 3363.84i | 0.146217 | − | 1.01696i | ||||
\(223\) | 832.410 | − | 960.653i | 0.249966 | − | 0.288476i | −0.616875 | − | 0.787061i | \(-0.711602\pi\) |
0.866840 | + | 0.498586i | \(0.166147\pi\) | |||||||
\(224\) | 1738.34 | − | 3806.44i | 0.518518 | − | 1.13540i | ||||
\(225\) | −2334.97 | − | 685.610i | −0.691844 | − | 0.203144i | ||||
\(226\) | −703.588 | − | 1540.64i | −0.207088 | − | 0.453460i | ||||
\(227\) | −220.228 | − | 1531.72i | −0.0643923 | − | 0.447858i | −0.996355 | − | 0.0853040i | \(-0.972814\pi\) |
0.931963 | − | 0.362554i | \(-0.118095\pi\) | |||||||
\(228\) | −983.568 | − | 632.101i | −0.285695 | − | 0.183605i | ||||
\(229\) | −102.367 | −0.0295398 | −0.0147699 | − | 0.999891i | \(-0.504702\pi\) | ||||
−0.0147699 | + | 0.999891i | \(0.504702\pi\) | |||||||
\(230\) | −528.406 | − | 5644.35i | −0.151487 | − | 1.61816i | ||||
\(231\) | −7962.45 | −2.26793 | ||||||||
\(232\) | 699.043 | + | 449.247i | 0.197821 | + | 0.127132i | ||||
\(233\) | −77.2406 | − | 537.220i | −0.0217176 | − | 0.151049i | 0.976077 | − | 0.217425i | \(-0.0697656\pi\) |
−0.997795 | + | 0.0663754i | \(0.978857\pi\) | |||||||
\(234\) | −3066.60 | − | 6714.93i | −0.856710 | − | 1.87593i | ||||
\(235\) | 3069.83 | + | 901.382i | 0.852142 | + | 0.250211i | ||||
\(236\) | −593.605 | + | 1299.81i | −0.163731 | + | 0.358520i | ||||
\(237\) | 3190.86 | − | 3682.45i | 0.874551 | − | 1.00929i | ||||
\(238\) | 339.048 | − | 2358.13i | 0.0923412 | − | 0.642247i | ||||
\(239\) | 465.626 | − | 136.720i | 0.126020 | − | 0.0370028i | −0.218114 | − | 0.975923i | \(-0.569991\pi\) |
0.344134 | + | 0.938920i | \(0.388172\pi\) | |||||||
\(240\) | 5364.77 | + | 6191.28i | 1.44289 | + | 1.66519i | ||||
\(241\) | 3236.62 | − | 2080.05i | 0.865099 | − | 0.555965i | −0.0311512 | − | 0.999515i | \(-0.509917\pi\) |
0.896250 | + | 0.443550i | \(0.146281\pi\) | |||||||
\(242\) | −5061.54 | + | 3252.85i | −1.34450 | + | 0.864055i | ||||
\(243\) | −2055.13 | − | 2371.75i | −0.542538 | − | 0.626122i | ||||
\(244\) | −2115.65 | + | 621.211i | −0.555084 | + | 0.162987i | ||||
\(245\) | −81.2485 | + | 565.096i | −0.0211868 | + | 0.147358i | ||||
\(246\) | −10282.7 | + | 11866.9i | −2.66505 | + | 3.07564i | ||||
\(247\) | 345.444 | − | 756.416i | 0.0889881 | − | 0.194857i | ||||
\(248\) | −9.04447 | − | 2.65570i | −0.00231583 | − | 0.000679988i | ||||
\(249\) | −2638.10 | − | 5776.63i | −0.671416 | − | 1.47020i | ||||
\(250\) | 527.495 | + | 3668.81i | 0.133447 | + | 0.928143i | ||||
\(251\) | 2816.17 | + | 1809.84i | 0.708187 | + | 0.455124i | 0.844510 | − | 0.535540i | \(-0.179892\pi\) |
−0.136323 | + | 0.990664i | \(0.543528\pi\) | |||||||
\(252\) | 5461.19 | 1.36517 | ||||||||
\(253\) | 5924.98 | + | 293.258i | 1.47233 | + | 0.0728734i | ||||
\(254\) | −5806.49 | −1.43438 | ||||||||
\(255\) | 3421.12 | + | 2198.62i | 0.840152 | + | 0.539933i | ||||
\(256\) | −712.950 | − | 4958.68i | −0.174060 | − | 1.21062i | ||||
\(257\) | −2604.97 | − | 5704.09i | −0.632271 | − | 1.38448i | −0.906249 | − | 0.422744i | \(-0.861067\pi\) |
0.273978 | − | 0.961736i | \(-0.411660\pi\) | |||||||
\(258\) | 268.996 | + | 78.9843i | 0.0649106 | + | 0.0190595i | ||||
\(259\) | −742.831 | + | 1626.57i | −0.178213 | + | 0.390233i | ||||
\(260\) | 2490.22 | − | 2873.87i | 0.593989 | − | 0.685500i | ||||
\(261\) | −1227.27 | + | 8535.88i | −0.291059 | + | 2.02436i | ||||
\(262\) | 9833.47 | − | 2887.37i | 2.31876 | − | 0.680848i | ||||
\(263\) | 1812.02 | + | 2091.18i | 0.424843 | + | 0.490295i | 0.927306 | − | 0.374303i | \(-0.122118\pi\) |
−0.502463 | + | 0.864599i | \(0.667573\pi\) | |||||||
\(264\) | −1714.35 | + | 1101.75i | −0.399663 | + | 0.256848i | ||||
\(265\) | 847.971 | − | 544.958i | 0.196568 | − | 0.126326i | ||||
\(266\) | 873.407 | + | 1007.97i | 0.201323 | + | 0.232340i | ||||
\(267\) | 4597.13 | − | 1349.84i | 1.05371 | − | 0.309396i | ||||
\(268\) | 676.588 | − | 4705.77i | 0.154213 | − | 1.07258i | ||||
\(269\) | 1103.48 | − | 1273.48i | 0.250113 | − | 0.288645i | −0.616785 | − | 0.787132i | \(-0.711565\pi\) |
0.866898 | + | 0.498486i | \(0.166111\pi\) | |||||||
\(270\) | −3469.91 | + | 7598.04i | −0.782119 | + | 1.71260i | ||||
\(271\) | −1188.51 | − | 348.979i | −0.266410 | − | 0.0782250i | 0.145800 | − | 0.989314i | \(-0.453425\pi\) |
−0.412209 | + | 0.911089i | \(0.635243\pi\) | |||||||
\(272\) | −1065.51 | − | 2333.14i | −0.237522 | − | 0.520101i | ||||
\(273\) | 877.105 | + | 6100.40i | 0.194450 | + | 1.35243i | ||||
\(274\) | 1417.00 | + | 910.650i | 0.312424 | + | 0.200782i | ||||
\(275\) | 2843.96 | 0.623627 | ||||||||
\(276\) | −6447.98 | − | 319.145i | −1.40624 | − | 0.0696023i | ||||
\(277\) | 1842.26 | 0.399605 | 0.199802 | − | 0.979836i | \(-0.435970\pi\) | ||||
0.199802 | + | 0.979836i | \(0.435970\pi\) | |||||||
\(278\) | 8.31015 | + | 5.34061i | 0.00179284 | + | 0.00115219i | ||||
\(279\) | −13.9222 | − | 96.8307i | −0.00298745 | − | 0.0207782i | ||||
\(280\) | −425.672 | − | 932.092i | −0.0908528 | − | 0.198940i | ||||
\(281\) | −8411.91 | − | 2469.96i | −1.78581 | − | 0.524361i | −0.789780 | − | 0.613390i | \(-0.789805\pi\) |
−0.996029 | + | 0.0890297i | \(0.971623\pi\) | |||||||
\(282\) | 3281.42 | − | 7185.30i | 0.692928 | − | 1.51730i | ||||
\(283\) | −5821.38 | + | 6718.23i | −1.22277 | + | 1.41116i | −0.340618 | + | 0.940202i | \(0.610636\pi\) |
−0.882157 | + | 0.470956i | \(0.843909\pi\) | |||||||
\(284\) | −88.2671 | + | 613.911i | −0.0184426 | + | 0.128271i | ||||
\(285\) | −2184.44 | + | 641.409i | −0.454018 | + | 0.133312i | ||||
\(286\) | 5649.48 | + | 6519.85i | 1.16804 | + | 1.34800i | ||||
\(287\) | 6950.50 | − | 4466.81i | 1.42953 | − | 0.918703i | ||||
\(288\) | 9350.21 | − | 6009.02i | 1.91308 | − | 1.22946i | ||||
\(289\) | 2383.53 | + | 2750.74i | 0.485147 | + | 0.559890i | ||||
\(290\) | −9240.77 | + | 2713.34i | −1.87116 | + | 0.549423i | ||||
\(291\) | 682.458 | − | 4746.60i | 0.137479 | − | 0.956188i | ||||
\(292\) | −476.253 | + | 549.625i | −0.0954472 | + | 0.110152i | ||||
\(293\) | −1670.17 | + | 3657.15i | −0.333011 | + | 0.729192i | −0.999872 | − | 0.0159901i | \(-0.994910\pi\) |
0.666862 | + | 0.745182i | \(0.267637\pi\) | |||||||
\(294\) | 1352.43 | + | 397.109i | 0.268283 | + | 0.0787751i | ||||
\(295\) | 1155.89 | + | 2531.06i | 0.228131 | + | 0.499538i | ||||
\(296\) | 65.1304 | + | 452.992i | 0.0127893 | + | 0.0889514i | ||||
\(297\) | −7353.13 | − | 4725.57i | −1.43661 | − | 0.923250i | ||||
\(298\) | −9317.67 | −1.81127 | ||||||||
\(299\) | −427.988 | − | 4571.70i | −0.0827799 | − | 0.884242i | ||||
\(300\) | −3095.01 | −0.595634 | ||||||||
\(301\) | −124.097 | − | 79.7520i | −0.0237635 | − | 0.0152719i | ||||
\(302\) | −70.6172 | − | 491.153i | −0.0134555 | − | 0.0935851i | ||||
\(303\) | 5428.42 | + | 11886.6i | 1.02922 | + | 2.25369i | ||||
\(304\) | 1377.76 | + | 404.547i | 0.259934 | + | 0.0763236i | ||||
\(305\) | −1783.63 | + | 3905.60i | −0.334853 | + | 0.733227i | ||||
\(306\) | 4143.82 | − | 4782.22i | 0.774138 | − | 0.893403i | ||||
\(307\) | −1333.59 | + | 9275.32i | −0.247922 | + | 1.72433i | 0.362264 | + | 0.932075i | \(0.382004\pi\) |
−0.610186 | + | 0.792258i | \(0.708905\pi\) | |||||||
\(308\) | −6123.69 | + | 1798.08i | −1.13289 | + | 0.332646i | ||||
\(309\) | −10584.6 | − | 12215.3i | −1.94866 | − | 2.24888i | ||||
\(310\) | 91.9090 | − | 59.0663i | 0.0168390 | − | 0.0108218i | ||||
\(311\) | 5508.58 | − | 3540.15i | 1.00438 | − | 0.645477i | 0.0684489 | − | 0.997655i | \(-0.478195\pi\) |
0.935933 | + | 0.352177i | \(0.114559\pi\) | |||||||
\(312\) | 1032.94 | + | 1192.08i | 0.187432 | + | 0.216309i | ||||
\(313\) | 8744.45 | − | 2567.60i | 1.57912 | − | 0.463673i | 0.629483 | − | 0.777014i | \(-0.283267\pi\) |
0.949641 | + | 0.313341i | \(0.101448\pi\) | |||||||
\(314\) | −1096.07 | + | 7623.34i | −0.196990 | + | 1.37010i | ||||
\(315\) | 6963.97 | − | 8036.85i | 1.24564 | − | 1.43754i | ||||
\(316\) | 1622.43 | − | 3552.62i | 0.288825 | − | 0.632438i | ||||
\(317\) | −4985.48 | − | 1463.87i | −0.883320 | − | 0.259366i | −0.191549 | − | 0.981483i | \(-0.561351\pi\) |
−0.691771 | + | 0.722117i | \(0.743169\pi\) | |||||||
\(318\) | −1033.82 | − | 2263.74i | −0.182307 | − | 0.399197i | ||||
\(319\) | −1434.25 | − | 9975.45i | −0.251733 | − | 1.75084i | ||||
\(320\) | 3990.23 | + | 2564.36i | 0.697064 | + | 0.447976i | ||||
\(321\) | 5920.37 | 1.02942 | ||||||||
\(322\) | 6955.01 | + | 2421.61i | 1.20369 | + | 0.419103i | ||||
\(323\) | 712.806 | 0.122791 | ||||||||
\(324\) | 842.800 | + | 541.634i | 0.144513 | + | 0.0928728i | ||||
\(325\) | −313.277 | − | 2178.89i | −0.0534692 | − | 0.371887i | ||||
\(326\) | 4489.40 | + | 9830.42i | 0.762715 | + | 1.67011i | ||||
\(327\) | 2464.67 | + | 723.693i | 0.416809 | + | 0.122386i | ||||
\(328\) | 878.410 | − | 1923.45i | 0.147872 | − | 0.323795i | ||||
\(329\) | −2721.81 | + | 3141.13i | −0.456104 | + | 0.526372i | ||||
\(330\) | 3361.34 | − | 23378.7i | 0.560715 | − | 3.89986i | ||||
\(331\) | −2745.78 | + | 806.235i | −0.455957 | + | 0.133881i | −0.501643 | − | 0.865075i | \(-0.667271\pi\) |
0.0456856 | + | 0.998956i | \(0.485453\pi\) | |||||||
\(332\) | −3333.36 | − | 3846.90i | −0.551030 | − | 0.635922i | ||||
\(333\) | −3995.54 | + | 2567.78i | −0.657520 | + | 0.422562i | ||||
\(334\) | −3035.43 | + | 1950.75i | −0.497279 | + | 0.319582i | ||||
\(335\) | −6062.39 | − | 6996.37i | −0.988727 | − | 1.14105i | ||||
\(336\) | −10211.3 | + | 2998.31i | −1.65795 | + | 0.486819i | ||||
\(337\) | −1601.88 | + | 11141.3i | −0.258932 | + | 1.80091i | 0.281541 | + | 0.959549i | \(0.409154\pi\) |
−0.540473 | + | 0.841361i | \(0.681755\pi\) | |||||||
\(338\) | −1171.27 | + | 1351.72i | −0.188487 | + | 0.217526i | ||||
\(339\) | −1560.22 | + | 3416.40i | −0.249969 | + | 0.547355i | ||||
\(340\) | 3127.57 | + | 918.339i | 0.498872 | + | 0.146482i | ||||
\(341\) | 47.4922 | + | 103.993i | 0.00754208 | + | 0.0165148i | ||||
\(342\) | 504.149 | + | 3506.43i | 0.0797113 | + | 0.554404i | ||||
\(343\) | −5623.37 | − | 3613.92i | −0.885229 | − | 0.568902i | ||||
\(344\) | −37.7536 | −0.00591727 | ||||||||
\(345\) | −8691.96 | + | 9082.08i | −1.35640 | + | 1.41728i | ||||
\(346\) | 6896.40 | 1.07154 | ||||||||
\(347\) | −7456.51 | − | 4792.01i | −1.15356 | − | 0.741350i | −0.183218 | − | 0.983072i | \(-0.558652\pi\) |
−0.970346 | + | 0.241722i | \(0.922288\pi\) | |||||||
\(348\) | 1560.86 | + | 10856.0i | 0.240433 | + | 1.67225i | ||||
\(349\) | 484.545 | + | 1061.01i | 0.0743183 | + | 0.162734i | 0.943145 | − | 0.332382i | \(-0.107852\pi\) |
−0.868826 | + | 0.495117i | \(0.835125\pi\) | |||||||
\(350\) | 3387.61 | + | 994.692i | 0.517358 | + | 0.151910i | ||||
\(351\) | −2810.49 | + | 6154.12i | −0.427387 | + | 0.935847i | ||||
\(352\) | −8506.04 | + | 9816.50i | −1.28799 | + | 1.48642i | ||||
\(353\) | 1126.71 | − | 7836.42i | 0.169883 | − | 1.18156i | −0.709241 | − | 0.704966i | \(-0.750962\pi\) |
0.879124 | − | 0.476594i | \(-0.158129\pi\) | |||||||
\(354\) | 6591.51 | − | 1935.44i | 0.989647 | − | 0.290587i | ||||
\(355\) | 790.894 | + | 912.740i | 0.118243 | + | 0.136460i | ||||
\(356\) | 3230.70 | − | 2076.24i | 0.480974 | − | 0.309103i | ||||
\(357\) | −4444.32 | + | 2856.19i | −0.658874 | + | 0.423433i | ||||
\(358\) | −11435.0 | − | 13196.7i | −1.68816 | − | 1.94824i | ||||
\(359\) | 2012.00 | − | 590.776i | 0.295792 | − | 0.0868523i | −0.130470 | − | 0.991452i | \(-0.541649\pi\) |
0.426261 | + | 0.904600i | \(0.359830\pi\) | |||||||
\(360\) | 387.333 | − | 2693.96i | 0.0567062 | − | 0.394400i | ||||
\(361\) | 4230.37 | − | 4882.10i | 0.616761 | − | 0.711781i | ||||
\(362\) | 3616.97 | − | 7920.06i | 0.525148 | − | 1.14991i | ||||
\(363\) | 12801.6 | + | 3758.89i | 1.85099 | + | 0.543500i | ||||
\(364\) | 2052.15 | + | 4493.57i | 0.295499 | + | 0.647053i | ||||
\(365\) | 201.539 | + | 1401.73i | 0.0289015 | + | 0.201014i | ||||
\(366\) | 8917.78 | + | 5731.11i | 1.27361 | + | 0.818497i | ||||
\(367\) | 6556.23 | 0.932514 | 0.466257 | − | 0.884649i | \(-0.345602\pi\) | ||||
0.466257 | + | 0.884649i | \(0.345602\pi\) | |||||||
\(368\) | 7708.80 | − | 1855.00i | 1.09198 | − | 0.262768i | ||||
\(369\) | 21944.7 | 3.09592 | ||||||||
\(370\) | −4462.21 | − | 2867.69i | −0.626971 | − | 0.402930i | ||||
\(371\) | 186.355 | + | 1296.13i | 0.0260784 | + | 0.181379i | ||||
\(372\) | −51.6845 | − | 113.173i | −0.00720353 | − | 0.0157735i | ||||
\(373\) | 7087.92 | + | 2081.20i | 0.983911 | + | 0.288902i | 0.733838 | − | 0.679325i | \(-0.237727\pi\) |
0.250073 | + | 0.968227i | \(0.419545\pi\) | |||||||
\(374\) | −3071.98 | + | 6726.69i | −0.424728 | + | 0.930024i | ||||
\(375\) | 5382.50 | − | 6211.73i | 0.741203 | − | 0.855394i | ||||
\(376\) | −151.386 | + | 1052.91i | −0.0207636 | + | 0.144414i | ||||
\(377\) | −7484.66 | + | 2197.69i | −1.02249 | + | 0.300231i | ||||
\(378\) | −7105.95 | − | 8200.70i | −0.966906 | − | 1.11587i | ||||
\(379\) | −10833.7 | + | 6962.37i | −1.46831 | + | 0.943622i | −0.470170 | + | 0.882576i | \(0.655807\pi\) |
−0.998135 | + | 0.0610467i | \(0.980556\pi\) | |||||||
\(380\) | −1535.15 | + | 986.578i | −0.207240 | + | 0.133185i | ||||
\(381\) | 8431.98 | + | 9731.02i | 1.13381 | + | 1.30849i | ||||
\(382\) | 11094.7 | − | 3257.71i | 1.48601 | − | 0.436332i | ||||
\(383\) | −1006.90 | + | 7003.15i | −0.134335 | + | 0.934319i | 0.805477 | + | 0.592627i | \(0.201909\pi\) |
−0.939812 | + | 0.341692i | \(0.889000\pi\) | |||||||
\(384\) | −3143.33 | + | 3627.59i | −0.417727 | + | 0.482083i | ||||
\(385\) | −5162.67 | + | 11304.7i | −0.683413 | + | 1.49647i | ||||
\(386\) | 2604.15 | + | 764.648i | 0.343388 | + | 0.100828i | ||||
\(387\) | −162.763 | − | 356.401i | −0.0213791 | − | 0.0468137i | ||||
\(388\) | −547.017 | − | 3804.59i | −0.0715737 | − | 0.497806i | ||||
\(389\) | 11720.3 | + | 7532.15i | 1.52761 | + | 0.981735i | 0.990391 | + | 0.138292i | \(0.0441613\pi\) |
0.537219 | + | 0.843443i | \(0.319475\pi\) | |||||||
\(390\) | −18281.7 | −2.37367 | ||||||||
\(391\) | 3412.27 | − | 1961.65i | 0.441345 | − | 0.253720i | ||||
\(392\) | −189.814 | −0.0244568 | ||||||||
\(393\) | −19118.7 | − | 12286.9i | −2.45398 | − | 1.57707i | ||||
\(394\) | −2563.37 | − | 17828.6i | −0.327768 | − | 2.27968i | ||||
\(395\) | −3159.26 | − | 6917.82i | −0.402430 | − | 0.881198i | ||||
\(396\) | −16265.0 | − | 4775.84i | −2.06401 | − | 0.606047i | ||||
\(397\) | −1251.21 | + | 2739.76i | −0.158177 | + | 0.346359i | −0.972083 | − | 0.234637i | \(-0.924610\pi\) |
0.813906 | + | 0.580997i | \(0.197337\pi\) | |||||||
\(398\) | 11032.2 | − | 12731.8i | 1.38943 | − | 1.60348i | ||||
\(399\) | 420.906 | − | 2927.47i | 0.0528112 | − | 0.367310i | ||||
\(400\) | 3647.19 | − | 1070.91i | 0.455898 | − | 0.133864i | ||||
\(401\) | −4482.45 | − | 5173.02i | −0.558212 | − | 0.644211i | 0.404565 | − | 0.914509i | \(-0.367423\pi\) |
−0.962776 | + | 0.270299i | \(0.912878\pi\) | |||||||
\(402\) | −19227.8 | + | 12356.9i | −2.38556 | + | 1.53310i | ||||
\(403\) | 74.4427 | − | 47.8414i | 0.00920162 | − | 0.00591352i | ||||
\(404\) | 6859.07 | + | 7915.78i | 0.844681 | + | 0.974814i | ||||
\(405\) | 1871.80 | − | 549.610i | 0.229656 | − | 0.0674330i | ||||
\(406\) | 1780.55 | − | 12384.0i | 0.217653 | − | 1.51381i | ||||
\(407\) | 3634.81 | − | 4194.79i | 0.442680 | − | 0.510880i | ||||
\(408\) | −561.676 | + | 1229.90i | −0.0681547 | + | 0.149238i | ||||
\(409\) | −6416.45 | − | 1884.04i | −0.775728 | − | 0.227774i | −0.130176 | − | 0.991491i | \(-0.541554\pi\) |
−0.645552 | + | 0.763717i | \(0.723373\pi\) | |||||||
\(410\) | 10180.9 | + | 22293.1i | 1.22634 | + | 2.68531i | ||||
\(411\) | −531.569 | − | 3697.15i | −0.0637966 | − | 0.443715i | ||||
\(412\) | −10898.8 | − | 7004.20i | −1.30326 | − | 0.837554i | ||||
\(413\) | −3614.70 | −0.430673 | ||||||||
\(414\) | 12063.1 | + | 15398.2i | 1.43205 | + | 1.82797i | ||||
\(415\) | −9911.83 | −1.17242 | ||||||||
\(416\) | 8457.85 | + | 5435.53i | 0.996828 | + | 0.640622i | ||||
\(417\) | −3.11745 | − | 21.6823i | −0.000366096 | − | 0.00254625i | ||||
\(418\) | −1719.79 | − | 3765.81i | −0.201238 | − | 0.440650i | ||||
\(419\) | −3914.17 | − | 1149.30i | −0.456371 | − | 0.134003i | 0.0454639 | − | 0.998966i | \(-0.485523\pi\) |
−0.501835 | + | 0.864963i | \(0.667342\pi\) | |||||||
\(420\) | 5618.39 | − | 12302.5i | 0.652736 | − | 1.42929i | ||||
\(421\) | −4454.26 | + | 5140.49i | −0.515647 | + | 0.595088i | −0.952536 | − | 0.304427i | \(-0.901535\pi\) |
0.436889 | + | 0.899516i | \(0.356080\pi\) | |||||||
\(422\) | −267.226 | + | 1858.60i | −0.0308255 | + | 0.214396i | ||||
\(423\) | −10592.3 | + | 3110.19i | −1.21753 | + | 0.357500i | ||||
\(424\) | 219.465 | + | 253.277i | 0.0251372 | + | 0.0290099i | ||||
\(425\) | 1587.38 | − | 1020.15i | 0.181175 | − | 0.116434i | ||||
\(426\) | 2508.44 | − | 1612.08i | 0.285292 | − | 0.183346i | ||||
\(427\) | −3652.65 | − | 4215.38i | −0.413967 | − | 0.477744i | ||||
\(428\) | 4553.18 | − | 1336.94i | 0.514221 | − | 0.150989i | ||||
\(429\) | 2722.55 | − | 18935.8i | 0.306401 | − | 2.13107i | ||||
\(430\) | 286.548 | − | 330.694i | 0.0321362 | − | 0.0370872i | ||||
\(431\) | 6137.37 | − | 13439.0i | 0.685908 | − | 1.50193i | −0.170351 | − | 0.985384i | \(-0.554490\pi\) |
0.856259 | − | 0.516547i | \(-0.172783\pi\) | |||||||
\(432\) | −11209.3 | − | 3291.35i | −1.24840 | − | 0.366563i | ||||
\(433\) | −1023.71 | − | 2241.62i | −0.113618 | − | 0.248788i | 0.844277 | − | 0.535907i | \(-0.180030\pi\) |
−0.957895 | + | 0.287118i | \(0.907303\pi\) | |||||||
\(434\) | 20.1985 | + | 140.483i | 0.00223400 | + | 0.0155378i | ||||
\(435\) | 17966.4 | + | 11546.3i | 1.98028 | + | 1.27265i | ||||
\(436\) | 2058.93 | 0.226158 | ||||||||
\(437\) | −421.021 | + | 2162.87i | −0.0460873 | + | 0.236760i | ||||
\(438\) | 3496.36 | 0.381421 | ||||||||
\(439\) | 12933.1 | + | 8311.58i | 1.40606 | + | 0.903622i | 0.999948 | − | 0.0101993i | \(-0.00324659\pi\) |
0.406116 | + | 0.913822i | \(0.366883\pi\) | |||||||
\(440\) | 452.656 | + | 3148.29i | 0.0490444 | + | 0.341111i | ||||
\(441\) | −818.324 | − | 1791.88i | −0.0883623 | − | 0.193487i | ||||
\(442\) | 5492.02 | + | 1612.60i | 0.591016 | + | 0.173538i | ||||
\(443\) | −71.5364 | + | 156.643i | −0.00767223 | + | 0.0167998i | −0.913429 | − | 0.406997i | \(-0.866576\pi\) |
0.905757 | + | 0.423797i | \(0.139303\pi\) | |||||||
\(444\) | −3955.66 | + | 4565.07i | −0.422809 | + | 0.487948i | ||||
\(445\) | 1064.24 | − | 7401.97i | 0.113371 | − | 0.788510i | ||||
\(446\) | −4699.84 | + | 1380.00i | −0.498977 | + | 0.146513i | ||||
\(447\) | 13530.8 | + | 15615.4i | 1.43173 | + | 1.65231i | ||||
\(448\) | −5183.63 | + | 3331.32i | −0.546660 | + | 0.351317i | ||||
\(449\) | 9187.70 | − | 5904.58i | 0.965689 | − | 0.620611i | 0.0401224 | − | 0.999195i | \(-0.487225\pi\) |
0.925567 | + | 0.378584i | \(0.123589\pi\) | |||||||
\(450\) | 6141.03 | + | 7087.13i | 0.643314 | + | 0.742423i | ||||
\(451\) | −24606.8 | + | 7225.22i | −2.56916 | + | 0.754373i | ||||
\(452\) | −428.428 | + | 2979.78i | −0.0445831 | + | 0.310082i | ||||
\(453\) | −720.570 | + | 831.582i | −0.0747358 | + | 0.0862498i | ||||
\(454\) | −2477.18 | + | 5424.26i | −0.256079 | + | 0.560734i | ||||
\(455\) | 9229.72 | + | 2710.09i | 0.950980 | + | 0.279233i | ||||
\(456\) | −314.444 | − | 688.536i | −0.0322921 | − | 0.0707098i | ||||
\(457\) | 6.66914 | + | 46.3849i | 0.000682646 | + | 0.00474791i | 0.990160 | − | 0.139940i | \(-0.0446911\pi\) |
−0.989477 | + | 0.144688i | \(0.953782\pi\) | |||||||
\(458\) | 331.849 | + | 213.266i | 0.0338565 | + | 0.0217582i | ||||
\(459\) | −5799.31 | −0.589735 | ||||||||
\(460\) | −4633.83 | + | 8947.58i | −0.469681 | + | 0.906919i | ||||
\(461\) | 527.073 | 0.0532500 | 0.0266250 | − | 0.999645i | \(-0.491524\pi\) | ||||
0.0266250 | + | 0.999645i | \(0.491524\pi\) | |||||||
\(462\) | 25812.3 | + | 16588.5i | 2.59934 | + | 1.67050i | ||||
\(463\) | −652.623 | − | 4539.09i | −0.0655075 | − | 0.455614i | −0.996004 | − | 0.0893127i | \(-0.971533\pi\) |
0.930496 | − | 0.366302i | \(-0.119376\pi\) | |||||||
\(464\) | −5595.64 | − | 12252.7i | −0.559852 | − | 1.22590i | ||||
\(465\) | −232.456 | − | 68.2551i | −0.0231825 | − | 0.00680700i | ||||
\(466\) | −868.820 | + | 1902.45i | −0.0863677 | + | 0.189119i | ||||
\(467\) | −1791.34 | + | 2067.32i | −0.177502 | + | 0.204849i | −0.837528 | − | 0.546395i | \(-0.816000\pi\) |
0.660026 | + | 0.751243i | \(0.270545\pi\) | |||||||
\(468\) | −1867.31 | + | 12987.4i | −0.184437 | + | 1.28279i | ||||
\(469\) | 11539.1 | − | 3388.20i | 1.13609 | − | 0.333587i | ||||
\(470\) | −8073.71 | − | 9317.56i | −0.792367 | − | 0.914441i | ||||
\(471\) | 14367.5 | − | 9233.46i | 1.40557 | − | 0.903302i | ||||
\(472\) | −778.261 | + | 500.158i | −0.0758949 | + | 0.0487747i | ||||
\(473\) | 299.852 | + | 346.047i | 0.0291484 | + | 0.0336391i | ||||
\(474\) | −18015.8 | + | 5289.91i | −1.74576 | + | 0.512602i | ||||
\(475\) | −150.336 | + | 1045.61i | −0.0145218 | + | 0.101002i | ||||
\(476\) | −2773.01 | + | 3200.22i | −0.267018 | + | 0.308156i | ||||
\(477\) | −1444.82 | + | 3163.72i | −0.138687 | + | 0.303683i | ||||
\(478\) | −1794.28 | − | 526.847i | −0.171691 | − | 0.0504130i | ||||
\(479\) | 2336.86 | + | 5117.01i | 0.222910 | + | 0.488105i | 0.987736 | − | 0.156132i | \(-0.0499024\pi\) |
−0.764826 | + | 0.644237i | \(0.777175\pi\) | |||||||
\(480\) | −3917.30 | − | 27245.4i | −0.372499 | − | 2.59079i | ||||
\(481\) | −3614.22 | − | 2322.72i | −0.342607 | − | 0.220180i | ||||
\(482\) | −14825.8 | −1.40103 | ||||||||
\(483\) | −6041.48 | − | 15172.4i | −0.569145 | − | 1.42933i | ||||
\(484\) | 10694.2 | 1.00434 | ||||||||
\(485\) | −6296.48 | − | 4046.50i | −0.589502 | − | 0.378850i | ||||
\(486\) | 1721.05 | + | 11970.2i | 0.160634 | + | 1.11724i | ||||
\(487\) | −2780.44 | − | 6088.32i | −0.258714 | − | 0.566506i | 0.735049 | − | 0.678014i | \(-0.237159\pi\) |
−0.993764 | + | 0.111508i | \(0.964432\pi\) | |||||||
\(488\) | −1369.70 | − | 402.181i | −0.127057 | − | 0.0373072i | ||||
\(489\) | 9955.33 | − | 21799.1i | 0.920645 | − | 2.01593i | ||||
\(490\) | 1440.68 | − | 1662.63i | 0.132823 | − | 0.153286i | ||||
\(491\) | −497.765 | + | 3462.03i | −0.0457511 | + | 0.318206i | 0.954075 | + | 0.299567i | \(0.0968423\pi\) |
−0.999826 | + | 0.0186388i | \(0.994067\pi\) | |||||||
\(492\) | 26778.9 | − | 7863.00i | 2.45383 | − | 0.720511i | ||||
\(493\) | −4378.81 | − | 5053.41i | −0.400023 | − | 0.461651i | ||||
\(494\) | −2695.72 | + | 1732.43i | −0.245518 | + | 0.157785i | ||||
\(495\) | −27769.0 | + | 17846.0i | −2.52146 | + | 1.62044i | ||||
\(496\) | 100.065 | + | 115.481i | 0.00905855 | + | 0.0104541i | ||||
\(497\) | −1505.39 | + | 442.021i | −0.135867 | + | 0.0398941i | ||||
\(498\) | −3482.66 | + | 24222.4i | −0.313377 | + | 2.17959i | ||||
\(499\) | 1863.92 | − | 2151.08i | 0.167215 | − | 0.192977i | −0.665957 | − | 0.745990i | \(-0.731977\pi\) |
0.833172 | + | 0.553013i | \(0.186522\pi\) | |||||||
\(500\) | 2736.79 | − | 5992.74i | 0.244786 | − | 0.536007i | ||||
\(501\) | 7677.18 | + | 2254.22i | 0.684613 | + | 0.201020i | ||||
\(502\) | −5358.78 | − | 11734.1i | −0.476443 | − | 1.04326i | ||||
\(503\) | 1138.76 | + | 7920.22i | 0.100944 | + | 0.702078i | 0.975954 | + | 0.217975i | \(0.0699450\pi\) |
−0.875011 | + | 0.484103i | \(0.839146\pi\) | |||||||
\(504\) | 2974.39 | + | 1911.52i | 0.262876 | + | 0.168940i | ||||
\(505\) | 20395.6 | 1.79721 | ||||||||
\(506\) | −18596.3 | − | 13294.4i | −1.63381 | − | 1.16800i | ||||
\(507\) | 3966.21 | 0.347427 | ||||||||
\(508\) | 8682.24 | + | 5579.74i | 0.758292 | + | 0.487324i | ||||
\(509\) | 1719.11 | + | 11956.7i | 0.149702 | + | 1.04120i | 0.916707 | + | 0.399559i | \(0.130837\pi\) |
−0.767005 | + | 0.641641i | \(0.778254\pi\) | |||||||
\(510\) | −6509.92 | − | 14254.7i | −0.565224 | − | 1.23767i | ||||
\(511\) | −1765.17 | − | 518.302i | −0.152812 | − | 0.0448695i | ||||
\(512\) | −6152.66 | + | 13472.4i | −0.531077 | + | 1.16290i | ||||
\(513\) | 2126.09 | − | 2453.64i | 0.182981 | − | 0.211171i | ||||
\(514\) | −3438.93 | + | 23918.3i | −0.295106 | + | 2.05251i | ||||
\(515\) | −24205.4 | + | 7107.35i | −2.07110 | + | 0.608130i | ||||
\(516\) | −326.320 | − | 376.594i | −0.0278400 | − | 0.0321291i | ||||
\(517\) | 10853.3 | − | 6974.97i | 0.923261 | − | 0.593344i | ||||
\(518\) | 5796.78 | − | 3725.37i | 0.491691 | − | 0.315991i | ||||
\(519\) | −10014.7 | − | 11557.6i | −0.847008 | − | 0.977500i | ||||
\(520\) | 2362.19 | − | 693.601i | 0.199209 | − | 0.0584931i | ||||
\(521\) | 633.895 | − | 4408.84i | 0.0533041 | − | 0.370738i | −0.945657 | − | 0.325166i | \(-0.894580\pi\) |
0.998961 | − | 0.0455722i | \(-0.0145111\pi\) | |||||||
\(522\) | 21761.7 | − | 25114.4i | 1.82468 | − | 2.10580i | ||||
\(523\) | −132.252 | + | 289.591i | −0.0110573 | + | 0.0242121i | −0.915080 | − | 0.403272i | \(-0.867873\pi\) |
0.904023 | + | 0.427484i | \(0.140600\pi\) | |||||||
\(524\) | −17478.3 | − | 5132.08i | −1.45714 | − | 0.427855i | ||||
\(525\) | −3252.38 | − | 7121.71i | −0.270372 | − | 0.592032i | ||||
\(526\) | −1517.46 | − | 10554.1i | −0.125788 | − | 0.874871i | ||||
\(527\) | 63.8114 | + | 41.0091i | 0.00527451 | + | 0.00338972i | ||||
\(528\) | 33034.2 | 2.72278 | ||||||||
\(529\) | 3936.75 | + | 11512.5i | 0.323560 | + | 0.946208i | ||||
\(530\) | −3884.25 | −0.318341 | ||||||||
\(531\) | −8076.82 | − | 5190.66i | −0.660083 | − | 0.424210i | ||||
\(532\) | −337.372 | − | 2346.48i | −0.0274943 | − | 0.191227i | ||||
\(533\) | 8246.14 | + | 18056.5i | 0.670131 | + | 1.46738i | ||||
\(534\) | −17714.9 | − | 5201.57i | −1.43558 | − | 0.421524i | ||||
\(535\) | 3838.63 | − | 8405.42i | 0.310202 | − | 0.679249i | ||||
\(536\) | 2015.61 | − | 2326.14i | 0.162427 | − | 0.187451i | ||||
\(537\) | −5510.69 | + | 38327.7i | −0.442838 | + | 3.08000i | ||||
\(538\) | −6230.31 | + | 1829.38i | −0.499271 | + | 0.146599i | ||||
\(539\) | 1507.56 | + | 1739.82i | 0.120474 | + | 0.139034i | ||||
\(540\) | 12489.8 | − | 8026.69i | 0.995323 | − | 0.639655i | ||||
\(541\) | −11321.2 | + | 7275.70i | −0.899698 | + | 0.578201i | −0.906701 | − | 0.421774i | \(-0.861407\pi\) |
0.00700233 | + | 0.999975i | \(0.497771\pi\) | |||||||
\(542\) | 3125.82 | + | 3607.39i | 0.247722 | + | 0.285887i | ||||
\(543\) | −18525.6 | + | 5439.60i | −1.46410 | + | 0.429900i | ||||
\(544\) | −1226.48 | + | 8530.34i | −0.0966633 | + | 0.672308i | ||||
\(545\) | 2625.50 | − | 3029.98i | 0.206356 | − | 0.238147i | ||||
\(546\) | 9865.89 | − | 21603.3i | 0.773299 | − | 1.69329i | ||||
\(547\) | 7179.24 | + | 2108.01i | 0.561174 | + | 0.164775i | 0.550004 | − | 0.835162i | \(-0.314626\pi\) |
0.0111698 | + | 0.999938i | \(0.496444\pi\) | |||||||
\(548\) | −1243.70 | − | 2723.33i | −0.0969495 | − | 0.212290i | ||||
\(549\) | −2108.39 | − | 14664.1i | −0.163905 | − | 1.13998i | ||||
\(550\) | −9219.42 | − | 5924.96i | −0.714759 | − | 0.459347i | ||||
\(551\) | 3743.38 | 0.289425 | ||||||||
\(552\) | −3400.13 | − | 2430.74i | −0.262172 | − | 0.187426i | ||||
\(553\) | 9879.62 | 0.759718 | ||||||||
\(554\) | −5972.14 | − | 3838.06i | −0.458000 | − | 0.294338i | ||||
\(555\) | 1673.94 | + | 11642.5i | 0.128027 | + | 0.890446i | ||||
\(556\) | −7.29383 | − | 15.9713i | −0.000556344 | − | 0.00121822i | ||||
\(557\) | −3823.17 | − | 1122.58i | −0.290831 | − | 0.0853957i | 0.133063 | − | 0.991108i | \(-0.457519\pi\) |
−0.423894 | + | 0.905712i | \(0.639337\pi\) | |||||||
\(558\) | −156.600 | + | 342.906i | −0.0118806 | + | 0.0260150i | ||||
\(559\) | 232.093 | − | 267.849i | 0.0175608 | − | 0.0202662i | ||||
\(560\) | −2363.93 | + | 16441.5i | −0.178382 | + | 1.24068i | ||||
\(561\) | 15734.2 | − | 4619.98i | 1.18413 | − | 0.347693i | ||||
\(562\) | 22123.5 | + | 25531.9i | 1.66054 | + | 1.91637i | ||||
\(563\) | 5386.70 | − | 3461.82i | 0.403237 | − | 0.259145i | −0.323266 | − | 0.946308i | \(-0.604781\pi\) |
0.726503 | + | 0.687163i | \(0.241144\pi\) | |||||||
\(564\) | −11811.3 | + | 7590.66i | −0.881818 | + | 0.566710i | ||||
\(565\) | 3838.81 | + | 4430.23i | 0.285841 | + | 0.329878i | ||||
\(566\) | 32867.9 | − | 9650.88i | 2.44088 | − | 0.716708i | ||||
\(567\) | −360.666 | + | 2508.48i | −0.0267135 | + | 0.185796i | ||||
\(568\) | −262.955 | + | 303.466i | −0.0194249 | + | 0.0224175i | ||||
\(569\) | −9673.05 | + | 21181.0i | −0.712680 | + | 1.56055i | 0.111206 | + | 0.993797i | \(0.464529\pi\) |
−0.823886 | + | 0.566755i | \(0.808199\pi\) | |||||||
\(570\) | 8417.68 | + | 2471.65i | 0.618558 | + | 0.181625i | ||||
\(571\) | −8699.16 | − | 19048.5i | −0.637563 | − | 1.39607i | −0.902030 | − | 0.431673i | \(-0.857923\pi\) |
0.264467 | − | 0.964395i | \(-0.414804\pi\) | |||||||
\(572\) | −2182.23 | − | 15177.8i | −0.159517 | − | 1.10947i | ||||
\(573\) | −21570.9 | − | 13862.8i | −1.57267 | − | 1.01069i | ||||
\(574\) | −31837.7 | −2.31512 | ||||||||
\(575\) | 2157.85 | + | 5419.15i | 0.156502 | + | 0.393034i | ||||
\(576\) | −16366.2 | −1.18390 | ||||||||
\(577\) | 9983.85 | + | 6416.23i | 0.720335 | + | 0.462931i | 0.848753 | − | 0.528789i | \(-0.177354\pi\) |
−0.128419 | + | 0.991720i | \(0.540990\pi\) | |||||||
\(578\) | −1996.06 | − | 13882.9i | −0.143642 | − | 0.999054i | ||||
\(579\) | −2500.19 | − | 5474.66i | −0.179455 | − | 0.392952i | ||||
\(580\) | 16424.8 | + | 4822.75i | 1.17587 | + | 0.345265i | ||||
\(581\) | 5349.00 | − | 11712.7i | 0.381952 | − | 0.836358i | ||||
\(582\) | −12101.2 | + | 13965.5i | −0.861872 | + | 0.994654i | ||||
\(583\) | 578.450 | − | 4023.21i | 0.0410926 | − | 0.285805i | ||||
\(584\) | −451.766 | + | 132.650i | −0.0320106 | + | 0.00939917i | ||||
\(585\) | 16731.6 | + | 19309.2i | 1.18250 | + | 1.36468i | ||||
\(586\) | 13033.4 | − | 8376.04i | 0.918777 | − | 0.590462i | ||||
\(587\) | 4627.33 | − | 2973.81i | 0.325367 | − | 0.209101i | −0.367752 | − | 0.929924i | \(-0.619872\pi\) |
0.693119 | + | 0.720823i | \(0.256236\pi\) | |||||||
\(588\) | −1640.64 | − | 1893.40i | −0.115066 | − | 0.132793i | ||||
\(589\) | −40.7446 | + | 11.9637i | −0.00285034 | + | 0.000836936i | ||||
\(590\) | 1525.94 | − | 10613.2i | 0.106478 | − | 0.740572i | ||||
\(591\) | −26156.3 | + | 30186.0i | −1.82052 | + | 2.10099i | ||||
\(592\) | 3081.82 | − | 6748.24i | 0.213956 | − | 0.468498i | ||||
\(593\) | 536.249 | + | 157.457i | 0.0371351 | + | 0.0109038i | 0.300247 | − | 0.953861i | \(-0.402931\pi\) |
−0.263112 | + | 0.964765i | \(0.584749\pi\) | |||||||
\(594\) | 13992.0 | + | 30638.2i | 0.966496 | + | 2.11633i | ||||
\(595\) | 1173.47 | + | 8161.69i | 0.0808533 | + | 0.562347i | ||||
\(596\) | 13932.4 | + | 8953.81i | 0.957539 | + | 0.615373i | ||||
\(597\) | −37357.5 | −2.56104 | ||||||||
\(598\) | −8137.00 | + | 15712.0i | −0.556433 | + | 1.07443i | ||||
\(599\) | 856.240 | 0.0584057 | 0.0292029 | − | 0.999574i | \(-0.490703\pi\) | ||||
0.0292029 | + | 0.999574i | \(0.490703\pi\) | |||||||
\(600\) | −1685.67 | − | 1083.31i | −0.114695 | − | 0.0737100i | ||||
\(601\) | 3056.66 | + | 21259.5i | 0.207461 | + | 1.44292i | 0.781404 | + | 0.624025i | \(0.214504\pi\) |
−0.573944 | + | 0.818895i | \(0.694587\pi\) | |||||||
\(602\) | 236.139 | + | 517.072i | 0.0159872 | + | 0.0350071i | ||||
\(603\) | 30648.8 | + | 8999.31i | 2.06985 | + | 0.607762i | ||||
\(604\) | −366.382 | + | 802.265i | −0.0246819 | + | 0.0540458i | ||||
\(605\) | 13636.9 | − | 15737.8i | 0.916396 | − | 1.05758i | ||||
\(606\) | 7166.29 | − | 49842.6i | 0.480380 | − | 3.34112i | ||||
\(607\) | 4410.48 | − | 1295.03i | 0.294919 | − | 0.0865960i | −0.130926 | − | 0.991392i | \(-0.541795\pi\) |
0.425845 | + | 0.904796i | \(0.359977\pi\) | |||||||
\(608\) | −3159.48 | − | 3646.23i | −0.210746 | − | 0.243214i | ||||
\(609\) | −23339.8 | + | 14999.6i | −1.55300 | + | 0.998052i | ||||
\(610\) | 13918.8 | − | 8945.07i | 0.923861 | − | 0.593730i | ||||
\(611\) | −6539.39 | − | 7546.86i | −0.432987 | − | 0.499694i | ||||
\(612\) | −10791.6 | + | 3168.69i | −0.712784 | + | 0.209292i | ||||
\(613\) | 2750.77 | − | 19132.0i | 0.181244 | − | 1.26058i | −0.672582 | − | 0.740023i | \(-0.734815\pi\) |
0.853826 | − | 0.520558i | \(-0.174276\pi\) | |||||||
\(614\) | 23646.9 | − | 27289.9i | 1.55425 | − | 1.79370i | ||||
\(615\) | 22576.4 | − | 49435.3i | 1.48027 | − | 3.24134i | ||||
\(616\) | −3964.57 | − | 1164.10i | −0.259314 | − | 0.0761414i | ||||
\(617\) | 3164.01 | + | 6928.22i | 0.206448 | + | 0.452058i | 0.984326 | − | 0.176357i | \(-0.0564314\pi\) |
−0.777878 | + | 0.628415i | \(0.783704\pi\) | |||||||
\(618\) | 8863.97 | + | 61650.2i | 0.576960 | + | 4.01284i | ||||
\(619\) | 9597.89 | + | 6168.19i | 0.623218 | + | 0.400518i | 0.813793 | − | 0.581155i | \(-0.197399\pi\) |
−0.190575 | + | 0.981673i | \(0.561035\pi\) | |||||||
\(620\) | −194.188 | −0.0125787 | ||||||||
\(621\) | 3425.38 | − | 17596.8i | 0.221346 | − | 1.13710i | ||||
\(622\) | −25232.8 | −1.62660 | ||||||||
\(623\) | 8172.48 | + | 5252.13i | 0.525559 | + | 0.337756i | ||||
\(624\) | −3638.89 | − | 25309.0i | −0.233449 | − | 1.62367i | ||||
\(625\) | −8075.14 | − | 17682.1i | −0.516809 | − | 1.13165i | ||||
\(626\) | −33696.5 | − | 9894.20i | −2.15141 | − | 0.631712i | ||||
\(627\) | −3813.66 | + | 8350.75i | −0.242907 | + | 0.531893i | ||||
\(628\) | 8964.56 | − | 10345.7i | 0.569626 | − | 0.657383i | ||||
\(629\) | 524.099 | − | 3645.19i | 0.0332229 | − | 0.231070i | ||||
\(630\) | −39319.0 | + | 11545.1i | −2.48652 | + | 0.730107i | ||||
\(631\) | −16928.1 | − | 19536.1i | −1.06799 | − | 1.23252i | −0.971463 | − | 0.237190i | \(-0.923774\pi\) |
−0.0965219 | − | 0.995331i | \(-0.530772\pi\) | |||||||
\(632\) | 2127.13 | − | 1367.02i | 0.133881 | − | 0.0860398i | ||||
\(633\) | 3502.86 | − | 2251.15i | 0.219947 | − | 0.141351i | ||||
\(634\) | 13111.9 | + | 15132.0i | 0.821359 | + | 0.947898i | ||||
\(635\) | 19282.7 | − | 5661.90i | 1.20505 | − | 0.353836i | ||||
\(636\) | −629.511 | + | 4378.35i | −0.0392480 | + | 0.272976i | ||||
\(637\) | 1166.89 | − | 1346.66i | 0.0725807 | − | 0.0837626i | ||||
\(638\) | −16132.8 | + | 35326.0i | −1.00110 | + | 2.19211i | ||||
\(639\) | −3998.42 | − | 1174.04i | −0.247535 | − | 0.0726829i | ||||
\(640\) | 3112.20 | + | 6814.77i | 0.192220 | + | 0.420902i | ||||
\(641\) | 2891.91 | + | 20113.7i | 0.178196 | + | 1.23938i | 0.860934 | + | 0.508716i | \(0.169880\pi\) |
−0.682739 | + | 0.730663i | \(0.739211\pi\) | |||||||
\(642\) | −19192.3 | − | 12334.2i | −1.17985 | − | 0.758241i | ||||
\(643\) | −4432.19 | −0.271833 | −0.135917 | − | 0.990720i | \(-0.543398\pi\) | ||||
−0.135917 | + | 0.990720i | \(0.543398\pi\) | |||||||
\(644\) | −8072.55 | − | 10304.4i | −0.493949 | − | 0.630511i | ||||
\(645\) | −970.321 | −0.0592347 | ||||||||
\(646\) | −2310.74 | − | 1485.02i | −0.140735 | − | 0.0904448i | ||||
\(647\) | −3146.42 | − | 21883.8i | −0.191188 | − | 1.32974i | −0.828870 | − | 0.559441i | \(-0.811016\pi\) |
0.637682 | − | 0.770300i | \(-0.279893\pi\) | |||||||
\(648\) | 269.440 | + | 589.992i | 0.0163343 | + | 0.0357671i | ||||
\(649\) | 10765.6 | + | 3161.07i | 0.651137 | + | 0.191191i | ||||
\(650\) | −3523.82 | + | 7716.08i | −0.212639 | + | 0.465615i | ||||
\(651\) | 206.103 | − | 237.855i | 0.0124083 | − | 0.0143199i | ||||
\(652\) | 2733.68 | − | 19013.2i | 0.164201 | − | 1.14205i | ||||
\(653\) | 6058.51 | − | 1778.94i | 0.363075 | − | 0.106608i | −0.0951066 | − | 0.995467i | \(-0.530319\pi\) |
0.458181 | + | 0.888859i | \(0.348501\pi\) | |||||||
\(654\) | −6482.14 | − | 7480.79i | −0.387572 | − | 0.447282i | ||||
\(655\) | −29840.4 | + | 19177.2i | −1.78009 | + | 1.14399i | ||||
\(656\) | −28835.9 | + | 18531.7i | −1.71624 | + | 1.10296i | ||||
\(657\) | −3199.89 | − | 3692.87i | −0.190015 | − | 0.219289i | ||||
\(658\) | 15367.5 | − | 4512.30i | 0.910467 | − | 0.267337i | ||||
\(659\) | 1542.91 | − | 10731.2i | 0.0912037 | − | 0.634336i | −0.892029 | − | 0.451979i | \(-0.850718\pi\) |
0.983232 | − | 0.182357i | \(-0.0583727\pi\) | |||||||
\(660\) | −27491.8 | + | 31727.2i | −1.62139 | + | 1.87118i | ||||
\(661\) | −8445.88 | + | 18493.9i | −0.496984 | + | 1.08824i | 0.480454 | + | 0.877020i | \(0.340472\pi\) |
−0.977438 | + | 0.211223i | \(0.932255\pi\) | |||||||
\(662\) | 10580.8 | + | 3106.81i | 0.621201 | + | 0.182401i | ||||
\(663\) | −5272.78 | − | 11545.8i | −0.308865 | − | 0.676321i | ||||
\(664\) | −468.993 | − | 3261.92i | −0.0274103 | − | 0.190643i | ||||
\(665\) | −3883.35 | − | 2495.68i | −0.226451 | − | 0.145531i | ||||
\(666\) | 18302.1 | 1.06485 | ||||||||
\(667\) | 17919.9 | − | 10301.8i | 1.04027 | − | 0.598032i | ||||
\(668\) | 6413.34 | 0.371467 | ||||||||
\(669\) | 9137.66 | + | 5872.42i | 0.528075 | + | 0.339373i | ||||
\(670\) | 5076.89 | + | 35310.5i | 0.292742 | + | 2.03607i | ||||
\(671\) | 7192.27 | + | 15748.9i | 0.413792 | + | 0.906078i | ||||
\(672\) | 34309.6 | + | 10074.2i | 1.96952 | + | 0.578304i | ||||
\(673\) | −1906.21 | + | 4174.03i | −0.109181 | + | 0.239074i | −0.956334 | − | 0.292275i | \(-0.905588\pi\) |
0.847153 | + | 0.531350i | \(0.178315\pi\) | |||||||
\(674\) | 28404.1 | − | 32780.1i | 1.62327 | − | 1.87336i | ||||
\(675\) | 1223.11 | − | 8506.95i | 0.0697448 | − | 0.485085i | ||||
\(676\) | 3050.29 | − | 895.647i | 0.173549 | − | 0.0509585i | ||||
\(677\) | −4259.03 | − | 4915.19i | −0.241784 | − | 0.279034i | 0.621868 | − | 0.783122i | \(-0.286374\pi\) |
−0.863652 | + | 0.504088i | \(0.831829\pi\) | |||||||
\(678\) | 12175.4 | − | 7824.64i | 0.689664 | − | 0.443220i | ||||
\(679\) | 8179.65 | − | 5256.74i | 0.462307 | − | 0.297106i | ||||
\(680\) | 1381.97 | + | 1594.88i | 0.0779354 | + | 0.0899422i | ||||
\(681\) | 12687.7 | − | 3725.45i | 0.713942 | − | 0.209632i | ||||
\(682\) | 62.6965 | − | 436.063i | 0.00352019 | − | 0.0244835i | ||||
\(683\) | −8953.78 | + | 10333.2i | −0.501620 | + | 0.578901i | −0.948933 | − | 0.315477i | \(-0.897836\pi\) |
0.447313 | + | 0.894378i | \(0.352381\pi\) | |||||||
\(684\) | 2615.67 | − | 5727.51i | 0.146217 | − | 0.320171i | ||||
\(685\) | −5593.67 | − | 1642.45i | −0.312004 | − | 0.0916128i | ||||
\(686\) | 10700.5 | + | 23430.9i | 0.595550 | + | 1.30407i | ||||
\(687\) | −124.489 | − | 865.839i | −0.00691346 | − | 0.0480842i | ||||
\(688\) | 514.845 | + | 330.871i | 0.0285295 | + | 0.0183348i | ||||
\(689\) | −3146.09 | −0.173957 | ||||||||
\(690\) | 47098.3 | − | 11333.5i | 2.59855 | − | 0.625300i | ||||
\(691\) | 7900.25 | 0.434934 | 0.217467 | − | 0.976068i | \(-0.430220\pi\) | ||||
0.217467 | + | 0.976068i | \(0.430220\pi\) | |||||||
\(692\) | −10312.0 | − | 6627.09i | −0.566477 | − | 0.364052i | ||||
\(693\) | −6102.67 | − | 42445.0i | −0.334518 | − | 2.32663i | ||||
\(694\) | 14188.7 | + | 31069.0i | 0.776076 | + | 1.69937i | ||||
\(695\) | −32.8047 | − | 9.63232i | −0.00179043 | − | 0.000525719i | ||||
\(696\) | −2949.70 | + | 6458.95i | −0.160644 | + | 0.351761i | ||||
\(697\) | −11142.8 | + | 12859.5i | −0.605542 | + | 0.698833i | ||||
\(698\) | 639.668 | − | 4448.99i | 0.0346874 | − | 0.241256i | ||||
\(699\) | 4449.97 | − | 1306.63i | 0.240791 | − | 0.0707027i | ||||
\(700\) | −4109.53 | − | 4742.65i | −0.221894 | − | 0.256079i | ||||
\(701\) | −18188.7 | + | 11689.1i | −0.979995 | + | 0.629805i | −0.929462 | − | 0.368918i | \(-0.879728\pi\) |
−0.0505330 | + | 0.998722i | \(0.516092\pi\) | |||||||
\(702\) | 21932.1 | − | 14094.9i | 1.17916 | − | 0.757802i | ||||
\(703\) | 1350.11 | + | 1558.11i | 0.0724330 | + | 0.0835921i | ||||
\(704\) | 18351.6 | − | 5388.52i | 0.982461 | − | 0.288476i | ||||
\(705\) | −3890.82 | + | 27061.3i | −0.207854 | + | 1.44565i | ||||
\(706\) | −19978.5 | + | 23056.4i | −1.06501 | + | 1.22909i | ||||
\(707\) | −11006.7 | + | 24101.2i | −0.585499 | + | 1.28206i | ||||
\(708\) | −11715.9 | − | 3440.11i | −0.621909 | − | 0.182609i | ||||
\(709\) | −11037.2 | − | 24168.0i | −0.584640 | − | 1.28018i | −0.938627 | − | 0.344933i | \(-0.887902\pi\) |
0.353987 | − | 0.935250i | \(-0.384826\pi\) | |||||||
\(710\) | −662.326 | − | 4606.58i | −0.0350094 | − | 0.243496i | ||||
\(711\) | 22075.4 | + | 14187.0i | 1.16440 | + | 0.748317i | ||||
\(712\) | 2486.30 | 0.130868 | ||||||||
\(713\) | −162.124 | + | 169.401i | −0.00851557 | + | 0.00889777i | ||||
\(714\) | 20357.8 | 1.06705 | ||||||||
\(715\) | −25118.8 | − | 16142.9i | −1.31383 | − | 0.844348i | ||||
\(716\) | 4417.03 | + | 30721.1i | 0.230548 | + | 1.60349i | ||||
\(717\) | 1722.65 | + | 3772.07i | 0.0897259 | + | 0.196472i | ||||
\(718\) | −7753.18 | − | 2276.54i | −0.402989 | − | 0.118328i | ||||
\(719\) | 1486.93 | − | 3255.93i | 0.0771255 | − | 0.168881i | −0.867141 | − | 0.498062i | \(-0.834045\pi\) |
0.944267 | + | 0.329181i | \(0.106772\pi\) | |||||||
\(720\) | −28891.7 | + | 33342.9i | −1.49546 | + | 1.72585i | ||||
\(721\) | 4663.99 | − | 32438.7i | 0.240910 | − | 1.67556i | ||||
\(722\) | −23884.9 | + | 7013.24i | −1.23117 | + | 0.361504i | ||||
\(723\) | 21529.4 | + | 24846.3i | 1.10745 | + | 1.27807i | ||||
\(724\) | −13019.1 | + | 8366.87i | −0.668303 | + | 0.429492i | ||||
\(725\) | 8336.32 | − | 5357.43i | 0.427039 | − | 0.274441i | ||||
\(726\) | −33668.5 | − | 38855.5i | −1.72115 | − | 1.98631i | ||||
\(727\) | 18599.9 | − | 5461.42i | 0.948874 | − | 0.278615i | 0.229556 | − | 0.973295i | \(-0.426273\pi\) |
0.719318 | + | 0.694681i | \(0.244454\pi\) | |||||||
\(728\) | −455.155 | + | 3165.67i | −0.0231719 | + | 0.161164i | ||||
\(729\) | 20147.6 | − | 23251.6i | 1.02360 | − | 1.18130i | ||||
\(730\) | 2266.96 | − | 4963.95i | 0.114937 | − | 0.251677i | ||||
\(731\) | 291.495 | + | 85.5905i | 0.0147487 | + | 0.00433062i | ||||
\(732\) | −7827.15 | − | 17139.1i | −0.395218 | − | 0.865407i | ||||
\(733\) | −2179.55 | − | 15159.1i | −0.109828 | − | 0.763867i | −0.968080 | − | 0.250640i | \(-0.919359\pi\) |
0.858253 | − | 0.513227i | \(-0.171550\pi\) | |||||||
\(734\) | −21253.7 | − | 13658.9i | −1.06878 | − | 0.686865i | ||||
\(735\) | −4878.48 | −0.244824 | ||||||||
\(736\) | −25159.2 | − | 8759.98i | −1.26003 | − | 0.438719i | ||||
\(737\) | −37329.9 | −1.86576 | ||||||||
\(738\) | −71139.2 | − | 45718.4i | −3.54833 | − | 2.28038i | ||||
\(739\) | 4519.76 | + | 31435.6i | 0.224982 | + | 1.56479i | 0.718797 | + | 0.695220i | \(0.244693\pi\) |
−0.493815 | + | 0.869567i | \(0.664398\pi\) | |||||||
\(740\) | 3916.49 | + | 8575.92i | 0.194558 | + | 0.426023i | ||||
\(741\) | 6817.99 | + | 2001.94i | 0.338010 | + | 0.0992485i | ||||
\(742\) | 2096.17 | − | 4589.96i | 0.103710 | − | 0.227093i | ||||
\(743\) | −18412.5 | + | 21249.2i | −0.909138 | + | 1.04920i | 0.0894455 | + | 0.995992i | \(0.471491\pi\) |
−0.998583 | + | 0.0532094i | \(0.983055\pi\) | |||||||
\(744\) | 11.4633 | − | 79.7293i | 0.000564874 | − | 0.00392879i | ||||
\(745\) | 30942.9 | − | 9085.66i | 1.52169 | − | 0.446809i | ||||
\(746\) | −18641.4 | − | 21513.3i | −0.914893 | − | 1.05584i | ||||
\(747\) | 28771.2 | − | 18490.1i | 1.40922 | − | 0.905648i | ||||
\(748\) | 11057.4 | − | 7106.18i | 0.540508 | − | 0.347363i | ||||
\(749\) | 7861.03 | + | 9072.11i | 0.383492 | + | 0.442574i | ||||
\(750\) | −30389.9 | + | 8923.28i | −1.47958 | + | 0.434443i | ||||
\(751\) | −2695.05 | + | 18744.5i | −0.130951 | + | 0.910782i | 0.813368 | + | 0.581749i | \(0.197632\pi\) |
−0.944319 | + | 0.329032i | \(0.893278\pi\) | |||||||
\(752\) | 11292.1 | − | 13031.8i | 0.547580 | − | 0.631941i | ||||
\(753\) | −11883.2 | + | 26020.6i | −0.575097 | + | 1.25929i | ||||
\(754\) | 28841.9 | + | 8468.76i | 1.39305 | + | 0.409037i | ||||
\(755\) | 713.435 | + | 1562.21i | 0.0343902 | + | 0.0753039i | ||||
\(756\) | 2744.82 | + | 19090.7i | 0.132048 | + | 0.918414i | ||||
\(757\) | −16197.1 | − | 10409.3i | −0.777669 | − | 0.499777i | 0.0905903 | − | 0.995888i | \(-0.471125\pi\) |
−0.868259 | + | 0.496111i | \(0.834761\pi\) | |||||||
\(758\) | 49625.0 | 2.37792 | ||||||||
\(759\) | 4724.94 | + | 50471.1i | 0.225961 | + | 2.41368i | ||||
\(760\) | −1181.42 | −0.0563878 | ||||||||
\(761\) | 15297.2 | + | 9830.90i | 0.728676 | + | 0.468292i | 0.851645 | − | 0.524119i | \(-0.175605\pi\) |
−0.122969 | + | 0.992410i | \(0.539242\pi\) | |||||||
\(762\) | −7061.27 | − | 49112.2i | −0.335699 | − | 2.33484i | ||||
\(763\) | 2163.62 | + | 4737.67i | 0.102658 | + | 0.224791i | ||||
\(764\) | −19720.1 | − | 5790.33i | −0.933831 | − | 0.274197i | ||||
\(765\) | −9098.00 | + | 19921.8i | −0.429986 | + | 0.941537i | ||||
\(766\) | 17854.1 | − | 20604.7i | 0.842161 | − | 0.971905i | ||||
\(767\) | 1235.95 | − | 8596.25i | 0.0581848 | − | 0.404684i | ||||
\(768\) | 41074.3 | − | 12060.5i | 1.92987 | − | 0.566662i | ||||
\(769\) | −6961.08 | − | 8033.52i | −0.326428 | − | 0.376718i | 0.568687 | − | 0.822554i | \(-0.307452\pi\) |
−0.895114 | + | 0.445836i | \(0.852906\pi\) | |||||||
\(770\) | 40287.6 | − | 25891.3i | 1.88554 | − | 1.21176i | ||||
\(771\) | 45078.3 | − | 28970.0i | 2.10565 | − | 1.35322i | ||||
\(772\) | −3159.11 | − | 3645.81i | −0.147278 | − | 0.169968i | ||||
\(773\) | 2189.60 | − | 642.924i | 0.101881 | − | 0.0299151i | −0.230394 | − | 0.973097i | \(-0.574002\pi\) |
0.332276 | + | 0.943182i | \(0.392183\pi\) | |||||||
\(774\) | −214.870 | + | 1494.46i | −0.00997849 | + | 0.0694019i | ||||
\(775\) | −73.6141 | + | 84.9552i | −0.00341200 | + | 0.00393765i | ||||
\(776\) | 1033.75 | − | 2263.60i | 0.0478215 | − | 0.104715i | ||||
\(777\) | −14661.2 | − | 4304.91i | −0.676920 | − | 0.198762i | ||||
\(778\) | −22302.0 | − | 48834.7i | −1.02772 | − | 2.25040i | ||||
\(779\) | −1355.66 | − | 9428.85i | −0.0623513 | − | 0.433663i | ||||
\(780\) | 27336.1 | + | 17567.8i | 1.25486 | + | 0.806447i | ||||
\(781\) | 4870.02 | 0.223128 | ||||||||
\(782\) | −15148.5 | − | 749.779i | −0.692724 | − | 0.0342865i | ||||
\(783\) | −30455.7 | −1.39004 | ||||||||
\(784\) | 2588.49 | + | 1663.52i | 0.117916 | + | 0.0757798i | ||||
\(785\) | −3793.59 | − | 26385.0i | −0.172483 | − | 1.19965i | ||||
\(786\) | 36380.3 | + | 79661.8i | 1.65095 | + | 3.61507i | ||||
\(787\) | −28363.4 | − | 8328.23i | −1.28468 | − | 0.377217i | −0.433056 | − | 0.901367i | \(-0.642565\pi\) |
−0.851626 | + | 0.524150i | \(0.824383\pi\) | |||||||
\(788\) | −13299.5 | + | 29121.8i | −0.601236 | + | 1.31652i | ||||
\(789\) | −15484.0 | + | 17869.4i | −0.698661 | + | 0.806298i | ||||
\(790\) | −4170.67 | + | 29007.7i | −0.187830 | + | 1.30639i | ||||
\(791\) | −7306.79 | + | 2145.47i | −0.328444 | + | 0.0964400i | ||||
\(792\) | −7186.95 | − | 8294.18i | −0.322446 | − | 0.372122i | ||||
\(793\) | 11273.7 | − | 7245.15i | 0.504842 | − | 0.324442i | ||||
\(794\) | 9763.96 | − | 6274.92i | 0.436411 | − | 0.280464i | ||||
\(795\) | 5640.57 | + | 6509.56i | 0.251636 | + | 0.290403i | ||||
\(796\) | −28730.6 | + | 8436.07i | −1.27931 | + | 0.375639i | ||||
\(797\) | −3757.65 | + | 26135.0i | −0.167005 | + | 1.16154i | 0.718028 | + | 0.696014i | \(0.245045\pi\) |
−0.885033 | + | 0.465529i | \(0.845864\pi\) | |||||||
\(798\) | −7463.39 | + | 8613.22i | −0.331079 | + | 0.382086i | ||||
\(799\) | 3555.88 | − | 7786.28i | 0.157444 | − | 0.344755i | ||||
\(800\) | −12254.4 | − | 3598.22i | −0.541573 | − | 0.159020i | ||||
\(801\) | 10718.9 | + | 23471.1i | 0.472826 | + | 1.03534i | ||||
\(802\) | 3753.78 | + | 26108.1i | 0.165275 | + | 1.14951i | ||||
\(803\) | 4803.94 | + | 3087.30i | 0.211117 | + | 0.135677i | ||||
\(804\) | 40625.0 | 1.78201 | ||||||||
\(805\) | −25458.1 | − | 1260.06i | −1.11463 | − | 0.0551691i | ||||
\(806\) | −340.995 | −0.0149020 | ||||||||
\(807\) | 12113.3 | + | 7784.73i | 0.528386 | + | 0.339573i | ||||
\(808\) | 965.049 | + | 6712.06i | 0.0420177 | + | 0.292240i | ||||
\(809\) | −12052.9 | − | 26392.1i | −0.523802 | − | 1.14697i | −0.967980 | − | 0.251028i | \(-0.919231\pi\) |
0.444178 | − | 0.895939i | \(-0.353496\pi\) | |||||||
\(810\) | −7212.94 | − | 2117.91i | −0.312885 | − | 0.0918713i | ||||
\(811\) | −1255.42 | + | 2748.99i | −0.0543574 | + | 0.119026i | −0.934862 | − | 0.355012i | \(-0.884477\pi\) |
0.880504 | + | 0.474038i | \(0.157204\pi\) | |||||||
\(812\) | −14562.8 | + | 16806.3i | −0.629375 | + | 0.726338i | ||||
\(813\) | 1506.37 | − | 10477.0i | 0.0649824 | − | 0.451963i | ||||
\(814\) | −20522.3 | + | 6025.90i | −0.883670 | + | 0.259469i | ||||
\(815\) | −24494.4 | − | 28268.1i | −1.05276 | − | 1.21495i | ||||
\(816\) | 18438.3 | − | 11849.6i | 0.791018 | − | 0.508357i | ||||
\(817\) | −143.078 | + | 91.9506i | −0.00612688 | + | 0.00393751i | ||||
\(818\) | 16875.4 | + | 19475.3i | 0.721314 | + | 0.832440i | ||||
\(819\) | −31846.8 | + | 9351.07i | −1.35875 | + | 0.398966i | ||||
\(820\) | 6199.35 | − | 43117.5i | 0.264013 | − | 1.83625i | ||||
\(821\) | −1355.56 | + | 1564.40i | −0.0576242 | + | 0.0665019i | −0.783830 | − | 0.620976i | \(-0.786737\pi\) |
0.726206 | + | 0.687478i | \(0.241282\pi\) | |||||||
\(822\) | −5979.22 | + | 13092.7i | −0.253710 | + | 0.555546i | ||||
\(823\) | −19199.5 | − | 5637.49i | −0.813188 | − | 0.238774i | −0.151408 | − | 0.988471i | \(-0.548381\pi\) |
−0.661780 | + | 0.749698i | \(0.730199\pi\) | |||||||
\(824\) | −3484.30 | − | 7629.55i | −0.147307 | − | 0.322558i | ||||
\(825\) | 3458.55 | + | 24054.7i | 0.145953 | + | 1.01512i | ||||
\(826\) | 11718.0 | + | 7530.68i | 0.493608 | + | 0.317222i | ||||
\(827\) | 30354.5 | 1.27634 | 0.638168 | − | 0.769897i | \(-0.279693\pi\) | ||||
0.638168 | + | 0.769897i | \(0.279693\pi\) | |||||||
\(828\) | −3240.69 | − | 34616.5i | −0.136017 | − | 1.45291i | ||||
\(829\) | 41580.9 | 1.74205 | 0.871027 | − | 0.491234i | \(-0.163454\pi\) | ||||
0.871027 | + | 0.491234i | \(0.163454\pi\) | |||||||
\(830\) | 32131.7 | + | 20649.8i | 1.34374 | + | 0.863571i | ||||
\(831\) | 2240.37 | + | 15582.1i | 0.0935230 | + | 0.650467i | ||||
\(832\) | −6149.92 | − | 13466.4i | −0.256262 | − | 0.561136i | ||||
\(833\) | 1465.55 | + | 430.323i | 0.0609582 | + | 0.0178989i | ||||
\(834\) | −35.0658 | + | 76.7833i | −0.00145591 | + | 0.00318800i | ||||
\(835\) | 8178.13 | − | 9438.06i | 0.338941 | − | 0.391159i | ||||
\(836\) | −1047.21 | + | 7283.52i | −0.0433237 | + | 0.301323i | ||||
\(837\) | 331.494 | − | 97.3353i | 0.0136895 | − | 0.00401959i | ||||
\(838\) | 10294.4 | + | 11880.3i | 0.424359 | + | 0.489736i | ||||
\(839\) | −9214.55 | + | 5921.83i | −0.379167 | + | 0.243676i | −0.716317 | − | 0.697775i | \(-0.754174\pi\) |
0.337150 | + | 0.941451i | \(0.390537\pi\) | |||||||
\(840\) | 7366.13 | − | 4733.93i | 0.302566 | − | 0.194448i | ||||
\(841\) | −7024.37 | − | 8106.56i | −0.288014 | − | 0.332386i | ||||
\(842\) | 25149.0 | − | 7384.41i | 1.02933 | − | 0.302237i | ||||
\(843\) | 10661.6 | − | 74153.0i | 0.435593 | − | 3.02962i | ||||
\(844\) | 2185.59 | − | 2522.31i | 0.0891366 | − | 0.102869i | ||||
\(845\) | 2571.59 | − | 5631.01i | 0.104693 | − | 0.229246i | ||||
\(846\) | 40817.3 | + | 11985.0i | 1.65878 | + | 0.487061i | ||||
\(847\) | 11237.9 | + | 24607.6i | 0.455891 | + | 0.998263i | ||||
\(848\) | −773.140 | − | 5377.31i | −0.0313087 | − | 0.217756i | ||||
\(849\) | −63903.3 | − | 41068.2i | −2.58322 | − | 1.66014i | ||||
\(850\) | −7271.23 | −0.293413 | ||||||||
\(851\) | 10751.0 | + | 3743.32i | 0.433068 | + | 0.150786i | ||||
\(852\) | −5299.91 | −0.213112 | ||||||||
\(853\) | −2178.81 | − | 1400.23i | −0.0874572 | − | 0.0562053i | 0.496181 | − | 0.868219i | \(-0.334735\pi\) |
−0.583639 | + | 0.812014i | \(0.698371\pi\) | |||||||
\(854\) | 3058.87 | + | 21274.9i | 0.122567 | + | 0.852475i | ||||
\(855\) | −5093.34 | − | 11152.9i | −0.203729 | − | 0.446105i | ||||
\(856\) | 2947.80 | + | 865.553i | 0.117703 | + | 0.0345607i | ||||
\(857\) | −5877.54 | + | 12870.0i | −0.234274 | + | 0.512989i | −0.989858 | − | 0.142064i | \(-0.954626\pi\) |
0.755583 | + | 0.655053i | \(0.227354\pi\) | |||||||
\(858\) | −48275.6 | + | 55713.0i | −1.92087 | + | 2.21680i | ||||
\(859\) | 2261.85 | − | 15731.5i | 0.0898409 | − | 0.624857i | −0.894300 | − | 0.447468i | \(-0.852326\pi\) |
0.984141 | − | 0.177389i | \(-0.0567651\pi\) | |||||||
\(860\) | −746.246 | + | 219.118i | −0.0295893 | + | 0.00868819i | ||||
\(861\) | 46233.6 | + | 53356.4i | 1.83001 | + | 2.11194i | ||||
\(862\) | −47893.8 | + | 30779.5i | −1.89242 | + | 1.21619i | ||||
\(863\) | 19389.4 | − | 12460.8i | 0.764802 | − | 0.491508i | −0.0991565 | − | 0.995072i | \(-0.531614\pi\) |
0.863958 | + | 0.503564i | \(0.167978\pi\) | |||||||
\(864\) | 25705.2 | + | 29665.4i | 1.01216 | + | 1.16810i | ||||
\(865\) | −22902.2 | + | 6724.68i | −0.900228 | + | 0.264331i | ||||
\(866\) | −1351.45 | + | 9399.52i | −0.0530301 | + | 0.368832i | ||||
\(867\) | −20367.6 | + | 23505.5i | −0.797831 | + | 0.920747i | ||||
\(868\) | 104.795 | − | 229.470i | 0.00409791 | − | 0.00897317i | ||||
\(869\) | −29424.4 | − | 8639.77i | −1.14862 | − | 0.337266i | ||||
\(870\) | −34187.6 | − | 74860.3i | −1.33226 | − | 2.91724i | ||||
\(871\) | 4112.08 | + | 28600.1i | 0.159968 | + | 1.11260i | ||||
\(872\) | 1121.38 | + | 720.666i | 0.0435489 | + | 0.0279872i | ||||
\(873\) | 25825.5 | 1.00121 | ||||||||
\(874\) | 5870.84 | − | 6134.34i | 0.227213 | − | 0.237411i | ||||
\(875\) | 16665.4 | 0.643880 | ||||||||
\(876\) | −5227.99 | − | 3359.83i | −0.201641 | − | 0.129587i | ||||
\(877\) | −2812.94 | − | 19564.4i | −0.108308 | − | 0.753300i | −0.969513 | − | 0.245041i | \(-0.921199\pi\) |
0.861204 | − | 0.508259i | \(-0.169711\pi\) | |||||||
\(878\) | −24609.9 | − | 53888.1i | −0.945949 | − | 2.07134i | ||||
\(879\) | −32963.9 | − | 9679.08i | −1.26490 | − | 0.371407i | ||||
\(880\) | 21418.6 | − | 46900.2i | 0.820478 | − | 1.79660i | ||||
\(881\) | 13712.9 | − | 15825.6i | 0.524404 | − | 0.605195i | −0.430324 | − | 0.902675i | \(-0.641601\pi\) |
0.954728 | + | 0.297480i | \(0.0961461\pi\) | |||||||
\(882\) | −1080.30 | + | 7513.67i | −0.0412423 | + | 0.286846i | ||||
\(883\) | 32469.9 | − | 9534.02i | 1.23748 | − | 0.363358i | 0.403415 | − | 0.915017i | \(-0.367823\pi\) |
0.834070 | + | 0.551659i | \(0.186005\pi\) | |||||||
\(884\) | −6662.40 | − | 7688.83i | −0.253485 | − | 0.292538i | ||||
\(885\) | −20002.4 | + | 12854.8i | −0.759744 | + | 0.488258i | ||||
\(886\) | 558.245 | − | 358.762i | 0.0211677 | − | 0.0136037i | ||||
\(887\) | 18451.1 | + | 21293.7i | 0.698451 | + | 0.806056i | 0.988542 | − | 0.150943i | \(-0.0482311\pi\) |
−0.290091 | + | 0.956999i | \(0.593686\pi\) | |||||||
\(888\) | −3752.28 | + | 1101.77i | −0.141800 | + | 0.0416362i | ||||
\(889\) | −3715.46 | + | 25841.6i | −0.140171 | + | 0.974914i | ||||
\(890\) | −18870.9 | + | 21778.1i | −0.710733 | + | 0.820230i | ||||
\(891\) | 3267.85 | − | 7155.59i | 0.122870 | − | 0.269047i | ||||
\(892\) | 8353.61 | + | 2452.84i | 0.313565 | + | 0.0920709i | ||||
\(893\) | 1990.69 | + | 4359.00i | 0.0745979 | + | 0.163347i | ||||
\(894\) | −11331.2 | − | 78810.4i | −0.423907 | − | 2.94834i | ||||
\(895\) | 50842.6 | + | 32674.5i | 1.89886 | + | 1.22032i | ||||
\(896\) | −9732.45 | −0.362878 | ||||||||
\(897\) | 38147.7 | − | 9179.65i | 1.41997 | − | 0.341694i | ||||
\(898\) | −42085.5 | −1.56393 | ||||||||
\(899\) | 335.112 | + | 215.364i | 0.0124323 | + | 0.00798975i | ||||
\(900\) | −2372.11 | − | 16498.4i | −0.0878558 | − | 0.611051i | ||||
\(901\) | −1120.29 | − | 2453.09i | −0.0414230 | − | 0.0907038i | ||||
\(902\) | 94821.8 | + | 27842.2i | 3.50024 | + | 1.02776i | ||||
\(903\) | 523.642 | − | 1146.62i | 0.0192976 | − | 0.0422558i | ||||
\(904\) | −1276.32 | + | 1472.95i | −0.0469577 | + | 0.0541921i | ||||
\(905\) | −4288.69 | + | 29828.5i | −0.157526 | + | 1.09562i | ||||
\(906\) | 4068.38 | − | 1194.58i | 0.149186 | − | 0.0438051i | ||||
\(907\) | −16214.6 | − | 18712.6i | −0.593602 | − | 0.685053i | 0.376870 | − | 0.926266i | \(-0.377000\pi\) |
−0.970472 | + | 0.241213i | \(0.922455\pi\) | |||||||
\(908\) | 8916.48 | − | 5730.27i | 0.325885 | − | 0.209434i | ||||
\(909\) | −59202.6 | + | 38047.2i | −2.16021 | + | 1.38828i | ||||
\(910\) | −24274.4 | − | 28014.1i | −0.884272 | − | 1.02050i | ||||
\(911\) | 7559.21 | − | 2219.58i | 0.274915 | − | 0.0807224i | −0.141369 | − | 0.989957i | \(-0.545150\pi\) |
0.416284 | + | 0.909235i | \(0.363332\pi\) | |||||||
\(912\) | −1746.23 | + | 12145.3i | −0.0634030 | + | 0.440977i | ||||
\(913\) | −26173.6 | + | 30206.0i | −0.948764 | + | 1.09493i | ||||
\(914\) | 75.0161 | − | 164.262i | 0.00271478 | − | 0.00594455i | ||||
\(915\) | −35203.3 | − | 10336.6i | −1.27190 | − | 0.373463i | ||||
\(916\) | −291.264 | − | 637.780i | −0.0105062 | − | 0.0230053i | ||||
\(917\) | −6557.89 | − | 45611.1i | −0.236162 | − | 1.64254i | ||||
\(918\) | 18799.9 | + | 12082.0i | 0.675914 | + | 0.434384i | ||||
\(919\) | 9064.56 | 0.325367 | 0.162684 | − | 0.986678i | \(-0.447985\pi\) | ||||
0.162684 | + | 0.986678i | \(0.447985\pi\) | |||||||
\(920\) | −5655.59 | + | 3251.29i | −0.202673 | + | 0.116513i | ||||
\(921\) | −80074.0 | −2.86485 | ||||||||
\(922\) | −1708.64 | − | 1098.08i | −0.0610315 | − | 0.0392226i | ||||
\(923\) | −536.458 | − | 3731.15i | −0.0191308 | − | 0.133058i | ||||
\(924\) | −22655.5 | − | 49608.6i | −0.806613 | − | 1.76624i | ||||
\(925\) | 5236.56 | + | 1537.59i | 0.186137 | + | 0.0546548i | ||||
\(926\) | −7340.86 | + | 16074.2i | −0.260513 | + | 0.570445i | ||||
\(927\) | 57002.9 | − | 65784.9i | 2.01966 | − | 2.33081i | ||||
\(928\) | −6440.98 | + | 44798.0i | −0.227840 | + | 1.58466i | ||||
\(929\) | −3145.85 | + | 923.704i | −0.111100 | + | 0.0326219i | −0.336810 | − | 0.941573i | \(-0.609348\pi\) |
0.225710 | + | 0.974195i | \(0.427530\pi\) | |||||||
\(930\) | 611.364 | + | 705.551i | 0.0215564 | + | 0.0248774i | ||||
\(931\) | −719.352 | + | 462.300i | −0.0253231 | + | 0.0162742i | ||||
\(932\) | 3127.28 | − | 2009.78i | 0.109911 | − | 0.0706357i | ||||
\(933\) | 36642.2 | + | 42287.3i | 1.28576 | + | 1.48384i | ||||
\(934\) | 10114.0 | − | 2969.75i | 0.354327 | − | 0.104040i | ||||
\(935\) | 3642.49 | − | 25334.1i | 0.127403 | − | 0.886109i | ||||
\(936\) | −5562.87 | + | 6419.90i | −0.194261 | + | 0.224189i | ||||
\(937\) | 18056.7 | − | 39538.7i | 0.629549 | − | 1.37852i | −0.278817 | − | 0.960344i | \(-0.589942\pi\) |
0.908366 | − | 0.418176i | \(-0.137330\pi\) | |||||||
\(938\) | −44465.8 | − | 13056.3i | −1.54782 | − | 0.454482i | ||||
\(939\) | 32351.4 | + | 70839.6i | 1.12433 | + | 2.46194i | ||||
\(940\) | 3118.65 | + | 21690.7i | 0.108212 | + | 0.752629i | ||||
\(941\) | 418.834 | + | 269.169i | 0.0145097 | + | 0.00932481i | 0.547876 | − | 0.836560i | \(-0.315437\pi\) |
−0.533366 | + | 0.845885i | \(0.679073\pi\) | |||||||
\(942\) | −65812.5 | −2.27631 | ||||||||
\(943\) | −32437.9 | − | 41406.0i | −1.12017 | − | 1.42987i | ||||
\(944\) | 14996.5 | 0.517049 | ||||||||
\(945\) | 31594.5 | + | 20304.6i | 1.08759 | + | 0.698950i | ||||
\(946\) | −251.108 | − | 1746.49i | −0.00863026 | − | 0.0600248i | ||||
\(947\) | 2792.75 | + | 6115.26i | 0.0958311 | + | 0.209841i | 0.951476 | − | 0.307722i | \(-0.0995666\pi\) |
−0.855645 | + | 0.517563i | \(0.826839\pi\) | |||||||
\(948\) | 32021.7 | + | 9402.42i | 1.09706 | + | 0.322127i | ||||
\(949\) | 1836.15 | − | 4020.60i | 0.0628070 | − | 0.137528i | ||||
\(950\) | 2665.71 | − | 3076.40i | 0.0910391 | − | 0.105065i | ||||
\(951\) | 6318.80 | − | 43948.2i | 0.215459 | − | 1.49855i | ||||
\(952\) | −2630.43 | + | 772.365i | −0.0895513 | + | 0.0262946i | ||||
\(953\) | 16476.4 | + | 19014.8i | 0.560044 | + | 0.646326i | 0.963194 | − | 0.268809i | \(-0.0866299\pi\) |
−0.403149 | + | 0.915134i | \(0.632084\pi\) | |||||||
\(954\) | 11274.9 | − | 7245.91i | 0.382639 | − | 0.245907i | ||||
\(955\) | −33667.7 | + | 21636.9i | −1.14080 | + | 0.733146i | ||||
\(956\) | 2176.65 | + | 2511.98i | 0.0736379 | + | 0.0849826i | ||||
\(957\) | 82629.8 | − | 24262.3i | 2.79106 | − | 0.819529i | ||||
\(958\) | 3084.99 | − | 21456.6i | 0.104041 | − | 0.723622i | ||||
\(959\) | 4959.53 | − | 5723.60i | 0.166999 | − | 0.192727i | ||||
\(960\) | −16837.3 | + | 36868.5i | −0.566064 | + | 1.23951i | ||||
\(961\) | 28579.9 | + | 8391.82i | 0.959347 | + | 0.281690i | ||||
\(962\) | 6877.36 | + | 15059.3i | 0.230494 | + | 0.504711i | ||||
\(963\) | 4537.55 | + | 31559.4i | 0.151839 | + | 1.05606i | ||||
\(964\) | 22168.4 | + | 14246.8i | 0.740661 | + | 0.475994i | ||||
\(965\) | −9393.69 | −0.313361 | ||||||||
\(966\) | −12024.4 | + | 61771.6i | −0.400495 | + | 2.05742i | ||||
\(967\) | −12375.4 | −0.411548 | −0.205774 | − | 0.978599i | \(-0.565971\pi\) | ||||
−0.205774 | + | 0.978599i | \(0.565971\pi\) | |||||||
\(968\) | 5824.48 | + | 3743.17i | 0.193394 | + | 0.124287i | ||||
\(969\) | 866.844 | + | 6029.03i | 0.0287379 | + | 0.199877i | ||||
\(970\) | 11981.3 | + | 26235.5i | 0.396596 | + | 0.868424i | ||||
\(971\) | −51591.9 | − | 15148.7i | −1.70511 | − | 0.500666i | −0.723301 | − | 0.690533i | \(-0.757376\pi\) |
−0.981810 | + | 0.189868i | \(0.939194\pi\) | |||||||
\(972\) | 8929.29 | − | 19552.4i | 0.294657 | − | 0.645210i | ||||
\(973\) | 29.0857 | − | 33.5667i | 0.000958319 | − | 0.00110596i | ||||
\(974\) | −3670.58 | + | 25529.4i | −0.120753 | + | 0.839852i | ||||
\(975\) | 18048.5 | − | 5299.50i | 0.592834 | − | 0.174072i | ||||
\(976\) | 15153.9 | + | 17488.6i | 0.496993 | + | 0.573560i | ||||
\(977\) | 23111.7 | − | 14853.0i | 0.756814 | − | 0.486375i | −0.104452 | − | 0.994530i | \(-0.533309\pi\) |
0.861266 | + | 0.508155i | \(0.169672\pi\) | |||||||
\(978\) | −77687.8 | + | 49926.9i | −2.54006 | + | 1.63240i | ||||
\(979\) | −19747.0 | − | 22789.2i | −0.644654 | − | 0.743970i | ||||
\(980\) | −3751.90 | + | 1101.66i | −0.122296 | + | 0.0359093i | ||||
\(981\) | −1968.75 | + | 13692.9i | −0.0640747 | + | 0.445649i | ||||
\(982\) | 8826.24 | − | 10186.0i | 0.286819 | − | 0.331007i | ||||
\(983\) | 14035.9 | − | 30734.3i | 0.455417 | − | 0.997223i | −0.533092 | − | 0.846057i | \(-0.678970\pi\) |
0.988508 | − | 0.151166i | \(-0.0483027\pi\) | |||||||
\(984\) | 17337.1 | + | 5090.63i | 0.561673 | + | 0.164922i | ||||
\(985\) | 25897.3 | + | 56707.2i | 0.837723 | + | 1.83436i | ||||
\(986\) | 3666.99 | + | 25504.5i | 0.118439 | + | 0.823760i | ||||
\(987\) | −29878.2 | − | 19201.6i | −0.963561 | − | 0.619243i | ||||
\(988\) | 5695.59 | 0.183402 | ||||||||
\(989\) | −431.880 | + | 833.928i | −0.0138857 | + | 0.0268123i | ||||
\(990\) | 127199. | 4.08350 | ||||||||
\(991\) | −9325.92 | − | 5993.41i | −0.298938 | − | 0.192116i | 0.382570 | − | 0.923927i | \(-0.375039\pi\) |
−0.681508 | + | 0.731811i | \(0.738676\pi\) | |||||||
\(992\) | −73.0663 | − | 508.187i | −0.00233856 | − | 0.0162651i | ||||
\(993\) | −10158.4 | − | 22243.8i | −0.324640 | − | 0.710863i | ||||
\(994\) | 5800.96 | + | 1703.32i | 0.185106 | + | 0.0543520i | ||||
\(995\) | −24221.8 | + | 53038.2i | −0.771740 | + | 1.68987i | ||||
\(996\) | 28484.0 | − | 32872.3i | 0.906176 | − | 1.04578i | ||||
\(997\) | 2946.24 | − | 20491.6i | 0.0935892 | − | 0.650927i | −0.887989 | − | 0.459865i | \(-0.847898\pi\) |
0.981578 | − | 0.191062i | \(-0.0611931\pi\) | |||||||
\(998\) | −10523.8 | + | 3090.06i | −0.333792 | + | 0.0980102i | ||||
\(999\) | −10984.3 | − | 12676.6i | −0.347877 | − | 0.401472i |
(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 | 23.4.c.a.2.1 | ✓ | 50 | |
3.2 | odd | 2 | 207.4.i.a.163.5 | 50 | |||
23.9 | even | 11 | 529.4.a.n.1.4 | 25 | |||
23.12 | even | 11 | inner | 23.4.c.a.12.1 | yes | 50 | |
23.14 | odd | 22 | 529.4.a.m.1.4 | 25 | |||
69.35 | odd | 22 | 207.4.i.a.127.5 | 50 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
23.4.c.a.2.1 | ✓ | 50 | 1.1 | even | 1 | trivial | |
23.4.c.a.12.1 | yes | 50 | 23.12 | even | 11 | inner | |
207.4.i.a.127.5 | 50 | 69.35 | odd | 22 | |||
207.4.i.a.163.5 | 50 | 3.2 | odd | 2 | |||
529.4.a.m.1.4 | 25 | 23.14 | odd | 22 | |||
529.4.a.n.1.4 | 25 | 23.9 | even | 11 |