Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [177,4,Mod(176,177)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(177, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("177.176");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.d (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(10.4433380710\) |
Analytic rank: | \(0\) |
Dimension: | \(52\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 176.8 | ||
Character | \(\chi\) | \(=\) | 177.176 |
Dual form | 177.4.d.c.176.7 |
$q$-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 \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −4.62765 | −1.63612 | −0.818061 | − | 0.575131i | \(-0.804951\pi\) | ||||
−0.818061 | + | 0.575131i | \(0.804951\pi\) | |||||||
\(3\) | 4.25578 | + | 2.98133i | 0.819025 | + | 0.573757i | ||||
\(4\) | 13.4152 | 1.67690 | ||||||||
\(5\) | 5.89622i | 0.527374i | 0.964608 | + | 0.263687i | \(0.0849386\pi\) | ||||
−0.964608 | + | 0.263687i | \(0.915061\pi\) | |||||||
\(6\) | −19.6943 | − | 13.7966i | −1.34003 | − | 0.938737i | ||||
\(7\) | 10.0941 | 0.545030 | 0.272515 | − | 0.962152i | \(-0.412145\pi\) | ||||
0.272515 | + | 0.962152i | \(0.412145\pi\) | |||||||
\(8\) | −25.0596 | −1.10749 | ||||||||
\(9\) | 9.22335 | + | 25.3758i | 0.341605 | + | 0.939843i | ||||
\(10\) | − | 27.2857i | − | 0.862849i | ||||||
\(11\) | 53.2996 | 1.46095 | 0.730475 | − | 0.682940i | \(-0.239299\pi\) | ||||
0.730475 | + | 0.682940i | \(0.239299\pi\) | |||||||
\(12\) | 57.0921 | + | 39.9951i | 1.37342 | + | 0.962132i | ||||
\(13\) | 28.7582i | 0.613546i | 0.951783 | + | 0.306773i | \(0.0992493\pi\) | ||||
−0.951783 | + | 0.306773i | \(0.900751\pi\) | |||||||
\(14\) | −46.7120 | −0.891736 | ||||||||
\(15\) | −17.5786 | + | 25.0930i | −0.302585 | + | 0.431933i | ||||
\(16\) | 8.64556 | 0.135087 | ||||||||
\(17\) | − | 131.636i | − | 1.87802i | −0.343892 | − | 0.939009i | \(-0.611746\pi\) | ||
0.343892 | − | 0.939009i | \(-0.388254\pi\) | |||||||
\(18\) | −42.6825 | − | 117.430i | −0.558908 | − | 1.53770i | ||||
\(19\) | 46.0847 | 0.556450 | 0.278225 | − | 0.960516i | \(-0.410254\pi\) | ||||
0.278225 | + | 0.960516i | \(0.410254\pi\) | |||||||
\(20\) | 79.0989i | 0.884352i | ||||||||
\(21\) | 42.9583 | + | 30.0938i | 0.446394 | + | 0.312715i | ||||
\(22\) | −246.652 | −2.39029 | ||||||||
\(23\) | −74.5942 | −0.676259 | −0.338130 | − | 0.941100i | \(-0.609794\pi\) | ||||
−0.338130 | + | 0.941100i | \(0.609794\pi\) | |||||||
\(24\) | −106.648 | − | 74.7108i | −0.907060 | − | 0.635428i | ||||
\(25\) | 90.2346 | 0.721877 | ||||||||
\(26\) | − | 133.083i | − | 1.00384i | ||||||
\(27\) | −36.4010 | + | 135.492i | −0.259458 | + | 0.965754i | ||||
\(28\) | 135.414 | 0.913960 | ||||||||
\(29\) | 76.0280i | 0.486829i | 0.969922 | + | 0.243415i | \(0.0782676\pi\) | ||||
−0.969922 | + | 0.243415i | \(0.921732\pi\) | |||||||
\(30\) | 81.3476 | − | 116.122i | 0.495066 | − | 0.706695i | ||||
\(31\) | 6.76067i | 0.0391694i | 0.999808 | + | 0.0195847i | \(0.00623440\pi\) | ||||
−0.999808 | + | 0.0195847i | \(0.993766\pi\) | |||||||
\(32\) | 160.468 | 0.886468 | ||||||||
\(33\) | 226.832 | + | 158.904i | 1.19655 | + | 0.838230i | ||||
\(34\) | 609.164i | 3.07267i | ||||||||
\(35\) | 59.5171i | 0.287435i | ||||||||
\(36\) | 123.733 | + | 340.420i | 0.572837 | + | 1.57602i | ||||
\(37\) | 329.691i | 1.46489i | 0.680826 | + | 0.732445i | \(0.261621\pi\) | ||||
−0.680826 | + | 0.732445i | \(0.738379\pi\) | |||||||
\(38\) | −213.264 | −0.910421 | ||||||||
\(39\) | −85.7378 | + | 122.389i | −0.352027 | + | 0.502510i | ||||
\(40\) | − | 147.757i | − | 0.584060i | ||||||
\(41\) | 319.534i | 1.21714i | 0.793500 | + | 0.608571i | \(0.208257\pi\) | ||||
−0.793500 | + | 0.608571i | \(0.791743\pi\) | |||||||
\(42\) | −198.796 | − | 139.264i | −0.730355 | − | 0.511640i | ||||
\(43\) | − | 116.364i | − | 0.412681i | −0.978480 | − | 0.206341i | \(-0.933845\pi\) | ||
0.978480 | − | 0.206341i | \(-0.0661555\pi\) | |||||||
\(44\) | 715.024 | 2.44986 | ||||||||
\(45\) | −149.621 | + | 54.3829i | −0.495649 | + | 0.180154i | ||||
\(46\) | 345.196 | 1.10644 | ||||||||
\(47\) | 301.449 | 0.935550 | 0.467775 | − | 0.883848i | \(-0.345056\pi\) | ||||
0.467775 | + | 0.883848i | \(0.345056\pi\) | |||||||
\(48\) | 36.7936 | + | 25.7753i | 0.110640 | + | 0.0775071i | ||||
\(49\) | −241.109 | −0.702942 | ||||||||
\(50\) | −417.574 | −1.18108 | ||||||||
\(51\) | 392.449 | − | 560.212i | 1.07753 | − | 1.53814i | ||||
\(52\) | 385.797i | 1.02885i | ||||||||
\(53\) | 314.489i | 0.815064i | 0.913191 | + | 0.407532i | \(0.133611\pi\) | ||||
−0.913191 | + | 0.407532i | \(0.866389\pi\) | |||||||
\(54\) | 168.451 | − | 627.008i | 0.424506 | − | 1.58009i | ||||
\(55\) | 314.266i | 0.770467i | ||||||||
\(56\) | −252.954 | −0.603614 | ||||||||
\(57\) | 196.126 | + | 137.394i | 0.455747 | + | 0.319267i | ||||
\(58\) | − | 351.831i | − | 0.796513i | ||||||
\(59\) | −118.720 | − | 437.361i | −0.261966 | − | 0.965077i | ||||
\(60\) | −235.820 | + | 336.627i | −0.507403 | + | 0.724307i | ||||
\(61\) | 559.302i | 1.17396i | 0.809603 | + | 0.586978i | \(0.199682\pi\) | ||||
−0.809603 | + | 0.586978i | \(0.800318\pi\) | |||||||
\(62\) | − | 31.2860i | − | 0.0640860i | ||||||
\(63\) | 93.1014 | + | 256.146i | 0.186185 | + | 0.512243i | ||||
\(64\) | −811.754 | −1.58546 | ||||||||
\(65\) | −169.565 | −0.323568 | ||||||||
\(66\) | −1049.70 | − | 735.351i | −1.95771 | − | 1.37145i | ||||
\(67\) | − | 221.837i | − | 0.404502i | −0.979334 | − | 0.202251i | \(-0.935174\pi\) | ||
0.979334 | − | 0.202251i | \(-0.0648257\pi\) | |||||||
\(68\) | − | 1765.91i | − | 3.14924i | ||||||
\(69\) | −317.456 | − | 222.390i | −0.553873 | − | 0.388008i | ||||
\(70\) | − | 275.424i | − | 0.470279i | ||||||
\(71\) | 250.765i | 0.419159i | 0.977792 | + | 0.209580i | \(0.0672096\pi\) | ||||
−0.977792 | + | 0.209580i | \(0.932790\pi\) | |||||||
\(72\) | −231.133 | − | 635.906i | −0.378324 | − | 1.04086i | ||||
\(73\) | − | 450.880i | − | 0.722897i | −0.932392 | − | 0.361448i | \(-0.882282\pi\) | ||
0.932392 | − | 0.361448i | \(-0.117718\pi\) | |||||||
\(74\) | − | 1525.70i | − | 2.39674i | ||||||
\(75\) | 384.019 | + | 269.019i | 0.591235 | + | 0.414182i | ||||
\(76\) | 618.234 | 0.933110 | ||||||||
\(77\) | 538.012 | 0.796261 | ||||||||
\(78\) | 396.765 | − | 566.373i | 0.575959 | − | 0.822168i | ||||
\(79\) | −403.620 | −0.574820 | −0.287410 | − | 0.957808i | \(-0.592794\pi\) | ||||
−0.287410 | + | 0.957808i | \(0.592794\pi\) | |||||||
\(80\) | 50.9761i | 0.0712413i | ||||||||
\(81\) | −558.860 | + | 468.099i | −0.766611 | + | 0.642111i | ||||
\(82\) | − | 1478.69i | − | 1.99139i | ||||||
\(83\) | 341.648 | 0.451816 | 0.225908 | − | 0.974149i | \(-0.427465\pi\) | ||||
0.225908 | + | 0.974149i | \(0.427465\pi\) | |||||||
\(84\) | 576.293 | + | 403.714i | 0.748556 | + | 0.524391i | ||||
\(85\) | 776.152 | 0.990418 | ||||||||
\(86\) | 538.491i | 0.675197i | ||||||||
\(87\) | −226.665 | + | 323.559i | −0.279322 | + | 0.398726i | ||||
\(88\) | −1335.67 | −1.61798 | ||||||||
\(89\) | −1523.84 | −1.81491 | −0.907454 | − | 0.420151i | \(-0.861977\pi\) | ||||
−0.907454 | + | 0.420151i | \(0.861977\pi\) | |||||||
\(90\) | 692.395 | − | 251.665i | 0.810943 | − | 0.294754i | ||||
\(91\) | 290.289i | 0.334401i | ||||||||
\(92\) | −1000.69 | −1.13402 | ||||||||
\(93\) | −20.1558 | + | 28.7719i | −0.0224737 | + | 0.0320807i | ||||
\(94\) | −1395.00 | −1.53067 | ||||||||
\(95\) | 271.726i | 0.293457i | ||||||||
\(96\) | 682.916 | + | 478.408i | 0.726040 | + | 0.508617i | ||||
\(97\) | − | 1030.41i | − | 1.07858i | −0.842119 | − | 0.539291i | \(-0.818692\pi\) | ||
0.842119 | − | 0.539291i | \(-0.181308\pi\) | |||||||
\(98\) | 1115.77 | 1.15010 | ||||||||
\(99\) | 491.601 | + | 1352.52i | 0.499068 | + | 1.37306i | ||||
\(100\) | 1210.51 | 1.21051 | ||||||||
\(101\) | 1800.46 | 1.77378 | 0.886891 | − | 0.461979i | \(-0.152860\pi\) | ||||
0.886891 | + | 0.461979i | \(0.152860\pi\) | |||||||
\(102\) | −1816.12 | + | 2592.47i | −1.76297 | + | 2.51659i | ||||
\(103\) | − | 1115.61i | − | 1.06723i | −0.845727 | − | 0.533616i | \(-0.820833\pi\) | ||
0.845727 | − | 0.533616i | \(-0.179167\pi\) | |||||||
\(104\) | − | 720.669i | − | 0.679494i | ||||||
\(105\) | −177.440 | + | 253.292i | −0.164918 | + | 0.235416i | ||||
\(106\) | − | 1455.35i | − | 1.33354i | ||||||
\(107\) | − | 294.975i | − | 0.266507i | −0.991082 | − | 0.133254i | \(-0.957457\pi\) | ||
0.991082 | − | 0.133254i | \(-0.0425425\pi\) | |||||||
\(108\) | −488.326 | + | 1817.64i | −0.435085 | + | 1.61947i | ||||
\(109\) | 408.894i | 0.359311i | 0.983730 | + | 0.179655i | \(0.0574983\pi\) | ||||
−0.983730 | + | 0.179655i | \(0.942502\pi\) | |||||||
\(110\) | − | 1454.32i | − | 1.26058i | ||||||
\(111\) | −982.919 | + | 1403.09i | −0.840491 | + | 1.19978i | ||||
\(112\) | 87.2691 | 0.0736264 | ||||||||
\(113\) | −33.0548 | −0.0275180 | −0.0137590 | − | 0.999905i | \(-0.504380\pi\) | ||||
−0.0137590 | + | 0.999905i | \(0.504380\pi\) | |||||||
\(114\) | −907.605 | − | 635.810i | −0.745658 | − | 0.522360i | ||||
\(115\) | − | 439.824i | − | 0.356642i | ||||||
\(116\) | 1019.93i | 0.816363i | ||||||||
\(117\) | −729.763 | + | 265.247i | −0.576637 | + | 0.209591i | ||||
\(118\) | 549.393 | + | 2023.96i | 0.428608 | + | 1.57898i | ||||
\(119\) | − | 1328.74i | − | 1.02358i | ||||||
\(120\) | 440.512 | − | 628.820i | 0.335109 | − | 0.478360i | ||||
\(121\) | 1509.85 | 1.13437 | ||||||||
\(122\) | − | 2588.26i | − | 1.92074i | ||||||
\(123\) | −952.636 | + | 1359.87i | −0.698344 | + | 0.996870i | ||||
\(124\) | 90.6956i | 0.0656831i | ||||||||
\(125\) | 1269.07i | 0.908073i | ||||||||
\(126\) | −430.841 | − | 1185.35i | −0.304622 | − | 0.838092i | ||||
\(127\) | −605.304 | −0.422929 | −0.211465 | − | 0.977386i | \(-0.567823\pi\) | ||||
−0.211465 | + | 0.977386i | \(0.567823\pi\) | |||||||
\(128\) | 2472.77 | 1.70753 | ||||||||
\(129\) | 346.918 | − | 495.218i | 0.236779 | − | 0.337996i | ||||
\(130\) | 784.688 | 0.529398 | ||||||||
\(131\) | 279.269 | 0.186258 | 0.0931292 | − | 0.995654i | \(-0.470313\pi\) | ||||
0.0931292 | + | 0.995654i | \(0.470313\pi\) | |||||||
\(132\) | 3042.99 | + | 2131.72i | 2.00650 | + | 1.40563i | ||||
\(133\) | 465.183 | 0.303282 | ||||||||
\(134\) | 1026.58i | 0.661815i | ||||||||
\(135\) | −798.888 | − | 214.628i | −0.509314 | − | 0.136832i | ||||
\(136\) | 3298.73i | 2.07988i | ||||||||
\(137\) | − | 1534.48i | − | 0.956930i | −0.878107 | − | 0.478465i | \(-0.841193\pi\) | ||
0.878107 | − | 0.478465i | \(-0.158807\pi\) | |||||||
\(138\) | 1469.08 | + | 1029.14i | 0.906205 | + | 0.634829i | ||||
\(139\) | 1166.12 | 0.711577 | 0.355789 | − | 0.934566i | \(-0.384212\pi\) | ||||
0.355789 | + | 0.934566i | \(0.384212\pi\) | |||||||
\(140\) | 798.432i | 0.481999i | ||||||||
\(141\) | 1282.90 | + | 898.719i | 0.766239 | + | 0.536779i | ||||
\(142\) | − | 1160.45i | − | 0.685796i | ||||||
\(143\) | 1532.80i | 0.896360i | ||||||||
\(144\) | 79.7410 | + | 219.388i | 0.0461464 | + | 0.126960i | ||||
\(145\) | −448.278 | −0.256741 | ||||||||
\(146\) | 2086.51i | 1.18275i | ||||||||
\(147\) | −1026.11 | − | 718.826i | −0.575728 | − | 0.403318i | ||||
\(148\) | 4422.87i | 2.45647i | ||||||||
\(149\) | −1325.90 | −0.729009 | −0.364505 | − | 0.931202i | \(-0.618762\pi\) | ||||
−0.364505 | + | 0.931202i | \(0.618762\pi\) | |||||||
\(150\) | −1777.10 | − | 1244.93i | −0.967333 | − | 0.677652i | ||||
\(151\) | − | 3043.52i | − | 1.64025i | −0.572184 | − | 0.820125i | \(-0.693904\pi\) | ||
0.572184 | − | 0.820125i | \(-0.306096\pi\) | |||||||
\(152\) | −1154.86 | −0.616261 | ||||||||
\(153\) | 3340.35 | − | 1214.12i | 1.76504 | − | 0.641541i | ||||
\(154\) | −2489.73 | −1.30278 | ||||||||
\(155\) | −39.8624 | −0.0206569 | ||||||||
\(156\) | −1150.19 | + | 1641.87i | −0.590312 | + | 0.842658i | ||||
\(157\) | − | 2731.12i | − | 1.38832i | −0.719819 | − | 0.694162i | \(-0.755775\pi\) | ||
0.719819 | − | 0.694162i | \(-0.244225\pi\) | |||||||
\(158\) | 1867.81 | 0.940475 | ||||||||
\(159\) | −937.596 | + | 1338.40i | −0.467649 | + | 0.667558i | ||||
\(160\) | 946.154i | 0.467500i | ||||||||
\(161\) | −752.961 | −0.368582 | ||||||||
\(162\) | 2586.21 | − | 2166.20i | 1.25427 | − | 1.05057i | ||||
\(163\) | −513.998 | −0.246991 | −0.123495 | − | 0.992345i | \(-0.539410\pi\) | ||||
−0.123495 | + | 0.992345i | \(0.539410\pi\) | |||||||
\(164\) | 4286.60i | 2.04102i | ||||||||
\(165\) | −936.932 | + | 1337.45i | −0.442061 | + | 0.631032i | ||||
\(166\) | −1581.03 | −0.739227 | ||||||||
\(167\) | 1602.55i | 0.742571i | 0.928519 | + | 0.371286i | \(0.121083\pi\) | ||||
−0.928519 | + | 0.371286i | \(0.878917\pi\) | |||||||
\(168\) | −1076.52 | − | 754.138i | −0.494375 | − | 0.346328i | ||||
\(169\) | 1369.96 | 0.623561 | ||||||||
\(170\) | −3591.76 | −1.62045 | ||||||||
\(171\) | 425.055 | + | 1169.43i | 0.190086 | + | 0.522976i | ||||
\(172\) | − | 1561.04i | − | 0.692024i | ||||||
\(173\) | −2474.48 | −1.08746 | −0.543731 | − | 0.839260i | \(-0.682989\pi\) | ||||
−0.543731 | + | 0.839260i | \(0.682989\pi\) | |||||||
\(174\) | 1048.93 | − | 1497.32i | 0.457005 | − | 0.652364i | ||||
\(175\) | 910.837 | 0.393444 | ||||||||
\(176\) | 460.805 | 0.197355 | ||||||||
\(177\) | 798.672 | − | 2215.26i | 0.339163 | − | 0.940728i | ||||
\(178\) | 7051.81 | 2.96941 | ||||||||
\(179\) | −1696.42 | −0.708360 | −0.354180 | − | 0.935177i | \(-0.615240\pi\) | ||||
−0.354180 | + | 0.935177i | \(0.615240\pi\) | |||||||
\(180\) | −2007.19 | + | 729.556i | −0.831153 | + | 0.302100i | ||||
\(181\) | 2390.68 | 0.981756 | 0.490878 | − | 0.871228i | \(-0.336676\pi\) | ||||
0.490878 | + | 0.871228i | \(0.336676\pi\) | |||||||
\(182\) | − | 1343.35i | − | 0.547121i | ||||||
\(183\) | −1667.46 | + | 2380.27i | −0.673566 | + | 0.961500i | ||||
\(184\) | 1869.30 | 0.748948 | ||||||||
\(185\) | −1943.93 | −0.772545 | ||||||||
\(186\) | 93.2740 | − | 133.146i | 0.0367698 | − | 0.0524880i | ||||
\(187\) | − | 7016.12i | − | 2.74369i | ||||||
\(188\) | 4043.99 | 1.56882 | ||||||||
\(189\) | −367.435 | + | 1367.67i | −0.141413 | + | 0.526365i | ||||
\(190\) | − | 1257.45i | − | 0.480132i | ||||||
\(191\) | −2544.85 | −0.964076 | −0.482038 | − | 0.876150i | \(-0.660103\pi\) | ||||
−0.482038 | + | 0.876150i | \(0.660103\pi\) | |||||||
\(192\) | −3454.65 | − | 2420.11i | −1.29853 | − | 0.909667i | ||||
\(193\) | −3082.48 | −1.14965 | −0.574824 | − | 0.818277i | \(-0.694929\pi\) | ||||
−0.574824 | + | 0.818277i | \(0.694929\pi\) | |||||||
\(194\) | 4768.39i | 1.76469i | ||||||||
\(195\) | −721.631 | − | 505.529i | −0.265011 | − | 0.185650i | ||||
\(196\) | −3234.52 | −1.17876 | ||||||||
\(197\) | − | 4018.40i | − | 1.45330i | −0.687010 | − | 0.726648i | \(-0.741077\pi\) | ||
0.687010 | − | 0.726648i | \(-0.258923\pi\) | |||||||
\(198\) | −2274.96 | − | 6258.99i | −0.816537 | − | 2.24650i | ||||
\(199\) | 4500.71 | 1.60325 | 0.801626 | − | 0.597826i | \(-0.203969\pi\) | ||||
0.801626 | + | 0.597826i | \(0.203969\pi\) | |||||||
\(200\) | −2261.24 | −0.799469 | ||||||||
\(201\) | 661.368 | − | 944.088i | 0.232086 | − | 0.331298i | ||||
\(202\) | −8331.88 | −2.90213 | ||||||||
\(203\) | 767.435i | 0.265337i | ||||||||
\(204\) | 5264.77 | − | 7515.34i | 1.80690 | − | 2.57931i | ||||
\(205\) | −1884.04 | −0.641889 | ||||||||
\(206\) | 5162.68i | 1.74612i | ||||||||
\(207\) | −688.008 | − | 1892.88i | −0.231014 | − | 0.635578i | ||||
\(208\) | 248.631i | 0.0828820i | ||||||||
\(209\) | 2456.30 | 0.812945 | ||||||||
\(210\) | 821.131 | − | 1172.15i | 0.269826 | − | 0.385170i | ||||
\(211\) | 4567.43i | 1.49021i | 0.666946 | + | 0.745106i | \(0.267601\pi\) | ||||
−0.666946 | + | 0.745106i | \(0.732399\pi\) | |||||||
\(212\) | 4218.93i | 1.36678i | ||||||||
\(213\) | −747.613 | + | 1067.20i | −0.240496 | + | 0.343302i | ||||
\(214\) | 1365.04i | 0.436039i | ||||||||
\(215\) | 686.106 | 0.217637 | ||||||||
\(216\) | 912.193 | − | 3395.36i | 0.287347 | − | 1.06956i | ||||
\(217\) | 68.2429i | 0.0213485i | ||||||||
\(218\) | − | 1892.22i | − | 0.587877i | ||||||
\(219\) | 1344.22 | − | 1918.84i | 0.414767 | − | 0.592071i | ||||
\(220\) | 4215.94i | 1.29199i | ||||||||
\(221\) | 3785.61 | 1.15225 | ||||||||
\(222\) | 4548.61 | − | 6493.04i | 1.37515 | − | 1.96299i | ||||
\(223\) | 247.649 | 0.0743669 | 0.0371835 | − | 0.999308i | \(-0.488161\pi\) | ||||
0.0371835 | + | 0.999308i | \(0.488161\pi\) | |||||||
\(224\) | 1619.78 | 0.483152 | ||||||||
\(225\) | 832.265 | + | 2289.77i | 0.246597 | + | 0.678451i | ||||
\(226\) | 152.966 | 0.0450228 | ||||||||
\(227\) | 1175.81 | 0.343795 | 0.171897 | − | 0.985115i | \(-0.445010\pi\) | ||||
0.171897 | + | 0.985115i | \(0.445010\pi\) | |||||||
\(228\) | 2631.07 | + | 1843.16i | 0.764241 | + | 0.535378i | ||||
\(229\) | 3872.27i | 1.11741i | 0.829367 | + | 0.558704i | \(0.188701\pi\) | ||||
−0.829367 | + | 0.558704i | \(0.811299\pi\) | |||||||
\(230\) | 2035.35i | 0.583509i | ||||||||
\(231\) | 2289.66 | + | 1603.99i | 0.652158 | + | 0.456861i | ||||
\(232\) | − | 1905.23i | − | 0.539157i | ||||||
\(233\) | 2609.60 | 0.733736 | 0.366868 | − | 0.930273i | \(-0.380430\pi\) | ||||
0.366868 | + | 0.930273i | \(0.380430\pi\) | |||||||
\(234\) | 3377.09 | − | 1227.47i | 0.943449 | − | 0.342916i | ||||
\(235\) | 1777.41i | 0.493385i | ||||||||
\(236\) | −1592.64 | − | 5867.28i | −0.439290 | − | 1.61834i | ||||
\(237\) | −1717.72 | − | 1203.32i | −0.470792 | − | 0.329807i | ||||
\(238\) | 6148.96i | 1.67470i | ||||||||
\(239\) | − | 5126.17i | − | 1.38738i | −0.720273 | − | 0.693691i | \(-0.755983\pi\) | ||
0.720273 | − | 0.693691i | \(-0.244017\pi\) | |||||||
\(240\) | −151.977 | + | 216.943i | −0.0408752 | + | 0.0583485i | ||||
\(241\) | −3001.15 | −0.802161 | −0.401081 | − | 0.916043i | \(-0.631365\pi\) | ||||
−0.401081 | + | 0.916043i | \(0.631365\pi\) | |||||||
\(242\) | −6987.06 | −1.85597 | ||||||||
\(243\) | −3773.94 | + | 325.983i | −0.996290 | + | 0.0860568i | ||||
\(244\) | 7503.14i | 1.96860i | ||||||||
\(245\) | − | 1421.63i | − | 0.370713i | ||||||
\(246\) | 4408.47 | − | 6292.99i | 1.14258 | − | 1.63100i | ||||
\(247\) | 1325.31i | 0.341408i | ||||||||
\(248\) | − | 169.419i | − | 0.0433796i | ||||||
\(249\) | 1453.98 | + | 1018.57i | 0.370049 | + | 0.259233i | ||||
\(250\) | − | 5872.82i | − | 1.48572i | ||||||
\(251\) | 5448.19i | 1.37007i | 0.728512 | + | 0.685034i | \(0.240212\pi\) | ||||
−0.728512 | + | 0.685034i | \(0.759788\pi\) | |||||||
\(252\) | 1248.97 | + | 3436.24i | 0.312214 | + | 0.858979i | ||||
\(253\) | −3975.84 | −0.987980 | ||||||||
\(254\) | 2801.14 | 0.691964 | ||||||||
\(255\) | 3303.13 | + | 2313.97i | 0.811178 | + | 0.568260i | ||||
\(256\) | −4949.11 | −1.20828 | ||||||||
\(257\) | − | 1304.07i | − | 0.316519i | −0.987398 | − | 0.158260i | \(-0.949412\pi\) | ||
0.987398 | − | 0.158260i | \(-0.0505883\pi\) | |||||||
\(258\) | −1605.42 | + | 2291.70i | −0.387399 | + | 0.553003i | ||||
\(259\) | 3327.94i | 0.798409i | ||||||||
\(260\) | −2274.74 | −0.542591 | ||||||||
\(261\) | −1929.27 | + | 701.233i | −0.457543 | + | 0.166304i | ||||
\(262\) | −1292.36 | −0.304742 | ||||||||
\(263\) | − | 41.3337i | − | 0.00969105i | −0.999988 | − | 0.00484552i | \(-0.998458\pi\) | ||
0.999988 | − | 0.00484552i | \(-0.00154238\pi\) | |||||||
\(264\) | −5684.30 | − | 3982.06i | −1.32517 | − | 0.928329i | ||||
\(265\) | −1854.30 | −0.429844 | ||||||||
\(266\) | −2152.71 | −0.496207 | ||||||||
\(267\) | −6485.13 | − | 4543.07i | −1.48646 | − | 1.04132i | ||||
\(268\) | − | 2975.98i | − | 0.678309i | ||||||
\(269\) | 6337.69 | 1.43649 | 0.718245 | − | 0.695791i | \(-0.244946\pi\) | ||||
0.718245 | + | 0.695791i | \(0.244946\pi\) | |||||||
\(270\) | 3696.98 | + | 993.226i | 0.833300 | + | 0.223873i | ||||
\(271\) | 4545.70 | 1.01893 | 0.509467 | − | 0.860490i | \(-0.329842\pi\) | ||||
0.509467 | + | 0.860490i | \(0.329842\pi\) | |||||||
\(272\) | − | 1138.06i | − | 0.253696i | ||||||
\(273\) | −865.446 | + | 1235.40i | −0.191865 | + | 0.273883i | ||||
\(274\) | 7101.04i | 1.56565i | ||||||||
\(275\) | 4809.47 | 1.05462 | ||||||||
\(276\) | −4258.73 | − | 2983.40i | −0.928789 | − | 0.650650i | ||||
\(277\) | 6321.46 | 1.37119 | 0.685595 | − | 0.727983i | \(-0.259542\pi\) | ||||
0.685595 | + | 0.727983i | \(0.259542\pi\) | |||||||
\(278\) | −5396.41 | −1.16423 | ||||||||
\(279\) | −171.557 | + | 62.3560i | −0.0368131 | + | 0.0133805i | ||||
\(280\) | − | 1491.47i | − | 0.318330i | ||||||
\(281\) | − | 2091.33i | − | 0.443979i | −0.975049 | − | 0.221989i | \(-0.928745\pi\) | ||
0.975049 | − | 0.221989i | \(-0.0712551\pi\) | |||||||
\(282\) | −5936.82 | − | 4158.96i | −1.25366 | − | 0.878236i | ||||
\(283\) | 7506.42i | 1.57672i | 0.615217 | + | 0.788358i | \(0.289068\pi\) | ||||
−0.615217 | + | 0.788358i | \(0.710932\pi\) | |||||||
\(284\) | 3364.05i | 0.702887i | ||||||||
\(285\) | −810.104 | + | 1156.40i | −0.168373 | + | 0.240349i | ||||
\(286\) | − | 7093.28i | − | 1.46655i | ||||||
\(287\) | 3225.41i | 0.663379i | ||||||||
\(288\) | 1480.05 | + | 4072.00i | 0.302822 | + | 0.833141i | ||||
\(289\) | −12414.9 | −2.52695 | ||||||||
\(290\) | 2074.48 | 0.420060 | ||||||||
\(291\) | 3072.00 | − | 4385.21i | 0.618845 | − | 0.883387i | ||||
\(292\) | − | 6048.63i | − | 1.21222i | ||||||
\(293\) | − | 7349.25i | − | 1.46535i | −0.680578 | − | 0.732675i | \(-0.738271\pi\) | ||
0.680578 | − | 0.732675i | \(-0.261729\pi\) | |||||||
\(294\) | 4748.47 | + | 3326.48i | 0.941961 | + | 0.659878i | ||||
\(295\) | 2578.78 | − | 699.997i | 0.508957 | − | 0.138154i | ||||
\(296\) | − | 8261.92i | − | 1.62235i | ||||||
\(297\) | −1940.16 | + | 7221.65i | −0.379055 | + | 1.41092i | ||||
\(298\) | 6135.83 | 1.19275 | ||||||||
\(299\) | − | 2145.20i | − | 0.414916i | ||||||
\(300\) | 5151.68 | + | 3608.94i | 0.991441 | + | 0.694540i | ||||
\(301\) | − | 1174.59i | − | 0.224924i | ||||||
\(302\) | 14084.3i | 2.68365i | ||||||||
\(303\) | 7662.34 | + | 5367.75i | 1.45277 | + | 1.01772i | ||||
\(304\) | 398.428 | 0.0751691 | ||||||||
\(305\) | −3297.77 | −0.619114 | ||||||||
\(306\) | −15458.0 | + | 5618.53i | −2.88783 | + | 1.04964i | ||||
\(307\) | 4822.74 | 0.896574 | 0.448287 | − | 0.893890i | \(-0.352034\pi\) | ||||
0.448287 | + | 0.893890i | \(0.352034\pi\) | |||||||
\(308\) | 7217.52 | 1.33525 | ||||||||
\(309\) | 3326.02 | − | 4747.81i | 0.612332 | − | 0.874090i | ||||
\(310\) | 184.469 | 0.0337973 | ||||||||
\(311\) | − | 5273.14i | − | 0.961454i | −0.876870 | − | 0.480727i | \(-0.840373\pi\) | ||
0.876870 | − | 0.480727i | \(-0.159627\pi\) | |||||||
\(312\) | 2148.55 | − | 3067.01i | 0.389865 | − | 0.556523i | ||||
\(313\) | − | 8851.82i | − | 1.59851i | −0.600990 | − | 0.799256i | \(-0.705227\pi\) | ||
0.600990 | − | 0.799256i | \(-0.294773\pi\) | |||||||
\(314\) | 12638.7i | 2.27147i | ||||||||
\(315\) | −1510.29 | + | 548.946i | −0.270144 | + | 0.0981893i | ||||
\(316\) | −5414.63 | −0.963913 | ||||||||
\(317\) | − | 8125.27i | − | 1.43962i | −0.694169 | − | 0.719812i | \(-0.744228\pi\) | ||
0.694169 | − | 0.719812i | \(-0.255772\pi\) | |||||||
\(318\) | 4338.87 | − | 6193.64i | 0.765131 | − | 1.09221i | ||||
\(319\) | 4052.27i | 0.711233i | ||||||||
\(320\) | − | 4786.28i | − | 0.836129i | ||||||
\(321\) | 879.417 | − | 1255.35i | 0.152911 | − | 0.218276i | ||||
\(322\) | 3484.44 | 0.603045 | ||||||||
\(323\) | − | 6066.38i | − | 1.04502i | ||||||
\(324\) | −7497.20 | + | 6279.63i | −1.28553 | + | 1.07675i | ||||
\(325\) | 2594.99i | 0.442905i | ||||||||
\(326\) | 2378.61 | 0.404107 | ||||||||
\(327\) | −1219.05 | + | 1740.16i | −0.206157 | + | 0.294285i | ||||
\(328\) | − | 8007.38i | − | 1.34797i | ||||||
\(329\) | 3042.86 | 0.509903 | ||||||||
\(330\) | 4335.80 | − | 6189.25i | 0.723266 | − | 1.03245i | ||||
\(331\) | −11740.5 | −1.94959 | −0.974795 | − | 0.223104i | \(-0.928381\pi\) | ||||
−0.974795 | + | 0.223104i | \(0.928381\pi\) | |||||||
\(332\) | 4583.27 | 0.757650 | ||||||||
\(333\) | −8366.18 | + | 3040.86i | −1.37677 | + | 0.500415i | ||||
\(334\) | − | 7416.07i | − | 1.21494i | ||||||
\(335\) | 1308.00 | 0.213324 | ||||||||
\(336\) | 371.398 | + | 260.178i | 0.0603019 | + | 0.0422437i | ||||
\(337\) | − | 7342.61i | − | 1.18688i | −0.804880 | − | 0.593438i | \(-0.797770\pi\) | ||
0.804880 | − | 0.593438i | \(-0.202230\pi\) | |||||||
\(338\) | −6339.72 | −1.02022 | ||||||||
\(339\) | −140.674 | − | 98.5472i | −0.0225379 | − | 0.0157886i | ||||
\(340\) | 10412.2 | 1.66083 | ||||||||
\(341\) | 360.341i | 0.0572245i | ||||||||
\(342\) | −1967.01 | − | 5411.74i | −0.311005 | − | 0.855653i | ||||
\(343\) | −5896.06 | −0.928155 | ||||||||
\(344\) | 2916.02i | 0.457039i | ||||||||
\(345\) | 1311.26 | − | 1871.79i | 0.204626 | − | 0.292099i | ||||
\(346\) | 11451.0 | 1.77922 | ||||||||
\(347\) | −11274.9 | −1.74429 | −0.872144 | − | 0.489250i | \(-0.837271\pi\) | ||||
−0.872144 | + | 0.489250i | \(0.837271\pi\) | |||||||
\(348\) | −3040.75 | + | 4340.60i | −0.468394 | + | 0.668622i | ||||
\(349\) | − | 2405.99i | − | 0.369025i | −0.982830 | − | 0.184513i | \(-0.940929\pi\) | ||
0.982830 | − | 0.184513i | \(-0.0590706\pi\) | |||||||
\(350\) | −4215.04 | −0.643723 | ||||||||
\(351\) | −3896.50 | − | 1046.83i | −0.592535 | − | 0.159190i | ||||
\(352\) | 8552.88 | 1.29508 | ||||||||
\(353\) | 2454.37 | 0.370065 | 0.185033 | − | 0.982732i | \(-0.440761\pi\) | ||||
0.185033 | + | 0.982732i | \(0.440761\pi\) | |||||||
\(354\) | −3695.98 | + | 10251.4i | −0.554913 | + | 1.53915i | ||||
\(355\) | −1478.57 | −0.221054 | ||||||||
\(356\) | −20442.6 | −3.04341 | ||||||||
\(357\) | 3961.42 | − | 5654.84i | 0.587284 | − | 0.838335i | ||||
\(358\) | 7850.45 | 1.15896 | ||||||||
\(359\) | 3927.04i | 0.577330i | 0.957430 | + | 0.288665i | \(0.0932113\pi\) | ||||
−0.957430 | + | 0.288665i | \(0.906789\pi\) | |||||||
\(360\) | 3749.44 | − | 1362.81i | 0.548925 | − | 0.199518i | ||||
\(361\) | −4735.20 | −0.690363 | ||||||||
\(362\) | −11063.2 | −1.60627 | ||||||||
\(363\) | 6425.59 | + | 4501.36i | 0.929080 | + | 0.650854i | ||||
\(364\) | 3894.27i | 0.560756i | ||||||||
\(365\) | 2658.49 | 0.381237 | ||||||||
\(366\) | 7716.45 | − | 11015.1i | 1.10204 | − | 1.57313i | ||||
\(367\) | − | 11433.0i | − | 1.62615i | −0.582160 | − | 0.813074i | \(-0.697792\pi\) | ||
0.582160 | − | 0.813074i | \(-0.302208\pi\) | |||||||
\(368\) | −644.908 | −0.0913537 | ||||||||
\(369\) | −8108.42 | + | 2947.17i | −1.14392 | + | 0.415782i | ||||
\(370\) | 8995.85 | 1.26398 | ||||||||
\(371\) | 3174.48i | 0.444234i | ||||||||
\(372\) | −270.393 | + | 385.980i | −0.0376861 | + | 0.0537961i | ||||
\(373\) | 3095.15 | 0.429653 | 0.214827 | − | 0.976652i | \(-0.431081\pi\) | ||||
0.214827 | + | 0.976652i | \(0.431081\pi\) | |||||||
\(374\) | 32468.2i | 4.48901i | ||||||||
\(375\) | −3783.52 | + | 5400.89i | −0.521013 | + | 0.743735i | ||||
\(376\) | −7554.18 | −1.03611 | ||||||||
\(377\) | −2186.43 | −0.298692 | ||||||||
\(378\) | 1700.36 | − | 6329.08i | 0.231368 | − | 0.861198i | ||||
\(379\) | 3022.14 | 0.409597 | 0.204798 | − | 0.978804i | \(-0.434346\pi\) | ||||
0.204798 | + | 0.978804i | \(0.434346\pi\) | |||||||
\(380\) | 3645.25i | 0.492098i | ||||||||
\(381\) | −2576.04 | − | 1804.61i | −0.346390 | − | 0.242659i | ||||
\(382\) | 11776.7 | 1.57735 | ||||||||
\(383\) | 6729.51i | 0.897812i | 0.893579 | + | 0.448906i | \(0.148186\pi\) | ||||
−0.893579 | + | 0.448906i | \(0.851814\pi\) | |||||||
\(384\) | 10523.6 | + | 7372.15i | 1.39851 | + | 0.979710i | ||||
\(385\) | 3172.24i | 0.419928i | ||||||||
\(386\) | 14264.7 | 1.88096 | ||||||||
\(387\) | 2952.82 | − | 1073.26i | 0.387856 | − | 0.140974i | ||||
\(388\) | − | 13823.2i | − | 1.80867i | ||||||
\(389\) | − | 4796.16i | − | 0.625129i | −0.949897 | − | 0.312564i | \(-0.898812\pi\) | ||
0.949897 | − | 0.312564i | \(-0.101188\pi\) | |||||||
\(390\) | 3339.46 | + | 2339.41i | 0.433590 | + | 0.303746i | ||||
\(391\) | 9819.24i | 1.27003i | ||||||||
\(392\) | 6042.09 | 0.778499 | ||||||||
\(393\) | 1188.51 | + | 832.593i | 0.152550 | + | 0.106867i | ||||
\(394\) | 18595.8i | 2.37777i | ||||||||
\(395\) | − | 2379.83i | − | 0.303145i | ||||||
\(396\) | 6594.91 | + | 18144.3i | 0.836886 | + | 2.30249i | ||||
\(397\) | 6475.19i | 0.818590i | 0.912402 | + | 0.409295i | \(0.134225\pi\) | ||||
−0.912402 | + | 0.409295i | \(0.865775\pi\) | |||||||
\(398\) | −20827.7 | −2.62312 | ||||||||
\(399\) | 1979.72 | + | 1386.87i | 0.248396 | + | 0.174010i | ||||
\(400\) | 780.128 | 0.0975160 | ||||||||
\(401\) | 5689.94 | 0.708584 | 0.354292 | − | 0.935135i | \(-0.384722\pi\) | ||||
0.354292 | + | 0.935135i | \(0.384722\pi\) | |||||||
\(402\) | −3060.58 | + | 4368.91i | −0.379721 | + | 0.542044i | ||||
\(403\) | −194.425 | −0.0240322 | ||||||||
\(404\) | 24153.4 | 2.97445 | ||||||||
\(405\) | −2760.02 | − | 3295.16i | −0.338633 | − | 0.404291i | ||||
\(406\) | − | 3551.42i | − | 0.434123i | ||||||
\(407\) | 17572.4i | 2.14013i | ||||||||
\(408\) | −9834.60 | + | 14038.7i | −1.19335 | + | 1.70347i | ||||
\(409\) | 6415.64i | 0.775631i | 0.921737 | + | 0.387815i | \(0.126770\pi\) | ||||
−0.921737 | + | 0.387815i | \(0.873230\pi\) | |||||||
\(410\) | 8718.70 | 1.05021 | ||||||||
\(411\) | 4574.79 | − | 6530.41i | 0.549045 | − | 0.783750i | ||||
\(412\) | − | 14966.2i | − | 1.78964i | ||||||
\(413\) | −1198.37 | − | 4414.77i | −0.142779 | − | 0.525996i | ||||
\(414\) | 3183.86 | + | 8759.61i | 0.377967 | + | 1.03988i | ||||
\(415\) | 2014.43i | 0.238276i | ||||||||
\(416\) | 4614.77i | 0.543889i | ||||||||
\(417\) | 4962.76 | + | 3476.60i | 0.582800 | + | 0.408273i | ||||
\(418\) | −11366.9 | −1.33008 | ||||||||
\(419\) | −56.4393 | −0.00658052 | −0.00329026 | − | 0.999995i | \(-0.501047\pi\) | ||||
−0.00329026 | + | 0.999995i | \(0.501047\pi\) | |||||||
\(420\) | −2380.39 | + | 3397.95i | −0.276550 | + | 0.394769i | ||||
\(421\) | − | 6070.96i | − | 0.702804i | −0.936225 | − | 0.351402i | \(-0.885705\pi\) | ||
0.936225 | − | 0.351402i | \(-0.114295\pi\) | |||||||
\(422\) | − | 21136.5i | − | 2.43817i | ||||||
\(423\) | 2780.37 | + | 7649.50i | 0.319589 | + | 0.879271i | ||||
\(424\) | − | 7880.96i | − | 0.902673i | ||||||
\(425\) | − | 11878.1i | − | 1.35570i | ||||||
\(426\) | 3459.69 | − | 4938.63i | 0.393480 | − | 0.561684i | ||||
\(427\) | 5645.65i | 0.639841i | ||||||||
\(428\) | − | 3957.14i | − | 0.446906i | ||||||
\(429\) | −4569.79 | + | 6523.28i | −0.514293 | + | 0.734142i | ||||
\(430\) | −3175.06 | −0.356081 | ||||||||
\(431\) | 1006.47 | 0.112482 | 0.0562412 | − | 0.998417i | \(-0.482088\pi\) | ||||
0.0562412 | + | 0.998417i | \(0.482088\pi\) | |||||||
\(432\) | −314.707 | + | 1171.40i | −0.0350494 | + | 0.130461i | ||||
\(433\) | −12899.6 | −1.43167 | −0.715836 | − | 0.698268i | \(-0.753954\pi\) | ||||
−0.715836 | + | 0.698268i | \(0.753954\pi\) | |||||||
\(434\) | − | 315.804i | − | 0.0349288i | ||||||
\(435\) | −1907.77 | − | 1336.47i | −0.210278 | − | 0.147307i | ||||
\(436\) | 5485.38i | 0.602528i | ||||||||
\(437\) | −3437.65 | −0.376305 | ||||||||
\(438\) | −6220.59 | + | 8879.75i | −0.678610 | + | 0.968700i | ||||
\(439\) | 13595.9 | 1.47813 | 0.739064 | − | 0.673635i | \(-0.235268\pi\) | ||||
0.739064 | + | 0.673635i | \(0.235268\pi\) | |||||||
\(440\) | − | 7875.38i | − | 0.853282i | ||||||
\(441\) | −2223.83 | − | 6118.33i | −0.240129 | − | 0.660656i | ||||
\(442\) | −17518.5 | −1.88522 | ||||||||
\(443\) | 16463.4 | 1.76569 | 0.882843 | − | 0.469668i | \(-0.155626\pi\) | ||||
0.882843 | + | 0.469668i | \(0.155626\pi\) | |||||||
\(444\) | −13186.0 | + | 18822.8i | −1.40942 | + | 2.01191i | ||||
\(445\) | − | 8984.90i | − | 0.957136i | ||||||
\(446\) | −1146.04 | −0.121673 | ||||||||
\(447\) | −5642.76 | − | 3952.96i | −0.597077 | − | 0.418274i | ||||
\(448\) | −8193.93 | −0.864122 | ||||||||
\(449\) | − | 14660.1i | − | 1.54088i | −0.637513 | − | 0.770440i | \(-0.720037\pi\) | ||
0.637513 | − | 0.770440i | \(-0.279963\pi\) | |||||||
\(450\) | −3851.43 | − | 10596.3i | −0.403463 | − | 1.11003i | ||||
\(451\) | 17031.0i | 1.77818i | ||||||||
\(452\) | −443.436 | −0.0461448 | ||||||||
\(453\) | 9073.72 | − | 12952.5i | 0.941105 | − | 1.34341i | ||||
\(454\) | −5441.25 | −0.562490 | ||||||||
\(455\) | −1711.61 | −0.176355 | ||||||||
\(456\) | −4914.84 | − | 3443.03i | −0.504734 | − | 0.353584i | ||||
\(457\) | − | 1970.40i | − | 0.201688i | −0.994902 | − | 0.100844i | \(-0.967846\pi\) | ||
0.994902 | − | 0.100844i | \(-0.0321543\pi\) | |||||||
\(458\) | − | 17919.5i | − | 1.82822i | ||||||
\(459\) | 17835.5 | + | 4791.66i | 1.81370 | + | 0.487267i | ||||
\(460\) | − | 5900.31i | − | 0.598051i | ||||||
\(461\) | 10954.7i | 1.10674i | 0.832934 | + | 0.553372i | \(0.186659\pi\) | ||||
−0.832934 | + | 0.553372i | \(0.813341\pi\) | |||||||
\(462\) | −10595.8 | − | 7422.71i | −1.06701 | − | 0.747480i | ||||
\(463\) | − | 16309.2i | − | 1.63704i | −0.574475 | − | 0.818522i | \(-0.694794\pi\) | ||
0.574475 | − | 0.818522i | \(-0.305206\pi\) | |||||||
\(464\) | 657.305i | 0.0657643i | ||||||||
\(465\) | −169.646 | − | 118.843i | −0.0169186 | − | 0.0118521i | ||||
\(466\) | −12076.3 | −1.20048 | ||||||||
\(467\) | −10124.7 | −1.00324 | −0.501622 | − | 0.865087i | \(-0.667263\pi\) | ||||
−0.501622 | + | 0.865087i | \(0.667263\pi\) | |||||||
\(468\) | −9789.89 | + | 3558.34i | −0.966962 | + | 0.351462i | ||||
\(469\) | − | 2239.24i | − | 0.220466i | ||||||
\(470\) | − | 8225.24i | − | 0.807238i | ||||||
\(471\) | 8142.36 | − | 11623.0i | 0.796561 | − | 1.13707i | ||||
\(472\) | 2975.06 | + | 10960.1i | 0.290124 | + | 1.06881i | ||||
\(473\) | − | 6202.14i | − | 0.602906i | ||||||
\(474\) | 7949.00 | + | 5568.56i | 0.770273 | + | 0.539604i | ||||
\(475\) | 4158.43 | 0.401688 | ||||||||
\(476\) | − | 17825.3i | − | 1.71643i | ||||||
\(477\) | −7980.40 | + | 2900.64i | −0.766033 | + | 0.278430i | ||||
\(478\) | 23722.1i | 2.26993i | ||||||||
\(479\) | 1871.94i | 0.178562i | 0.996006 | + | 0.0892808i | \(0.0284568\pi\) | ||||
−0.996006 | + | 0.0892808i | \(0.971543\pi\) | |||||||
\(480\) | −2820.80 | + | 4026.62i | −0.268232 | + | 0.382895i | ||||
\(481\) | −9481.35 | −0.898778 | ||||||||
\(482\) | 13888.3 | 1.31243 | ||||||||
\(483\) | −3204.44 | − | 2244.82i | −0.301878 | − | 0.211476i | ||||
\(484\) | 20254.9 | 1.90223 | ||||||||
\(485\) | 6075.54 | 0.568817 | ||||||||
\(486\) | 17464.5 | − | 1508.53i | 1.63005 | − | 0.140799i | ||||
\(487\) | −5575.34 | −0.518773 | −0.259387 | − | 0.965774i | \(-0.583520\pi\) | ||||
−0.259387 | + | 0.965774i | \(0.583520\pi\) | |||||||
\(488\) | − | 14015.9i | − | 1.30014i | ||||||
\(489\) | −2187.47 | − | 1532.40i | −0.202292 | − | 0.141713i | ||||
\(490\) | 6578.83i | 0.606533i | ||||||||
\(491\) | − | 386.189i | − | 0.0354959i | −0.999842 | − | 0.0177479i | \(-0.994350\pi\) | ||
0.999842 | − | 0.0177479i | \(-0.00564964\pi\) | |||||||
\(492\) | −12779.8 | + | 18242.8i | −1.17105 | + | 1.67165i | ||||
\(493\) | 10008.0 | 0.914274 | ||||||||
\(494\) | − | 6133.10i | − | 0.558585i | ||||||
\(495\) | −7974.75 | + | 2898.59i | −0.724118 | + | 0.263196i | ||||
\(496\) | 58.4498i | 0.00529127i | ||||||||
\(497\) | 2531.25i | 0.228454i | ||||||||
\(498\) | −6728.51 | − | 4713.57i | −0.605446 | − | 0.424137i | ||||
\(499\) | 7220.37 | 0.647752 | 0.323876 | − | 0.946100i | \(-0.395014\pi\) | ||||
0.323876 | + | 0.946100i | \(0.395014\pi\) | |||||||
\(500\) | 17024.8i | 1.52275i | ||||||||
\(501\) | −4777.74 | + | 6820.12i | −0.426055 | + | 0.608185i | ||||
\(502\) | − | 25212.3i | − | 2.24160i | ||||||
\(503\) | −5269.99 | −0.467152 | −0.233576 | − | 0.972339i | \(-0.575043\pi\) | ||||
−0.233576 | + | 0.972339i | \(0.575043\pi\) | |||||||
\(504\) | −2333.08 | − | 6418.90i | −0.206198 | − | 0.567302i | ||||
\(505\) | 10615.9i | 0.935447i | ||||||||
\(506\) | 18398.8 | 1.61646 | ||||||||
\(507\) | 5830.27 | + | 4084.31i | 0.510712 | + | 0.357773i | ||||
\(508\) | −8120.26 | −0.709209 | ||||||||
\(509\) | −21337.4 | −1.85808 | −0.929039 | − | 0.369982i | \(-0.879364\pi\) | ||||
−0.929039 | + | 0.369982i | \(0.879364\pi\) | |||||||
\(510\) | −15285.8 | − | 10708.2i | −1.32719 | − | 0.929742i | ||||
\(511\) | − | 4551.22i | − | 0.394001i | ||||||
\(512\) | 3120.57 | 0.269357 | ||||||||
\(513\) | −1677.53 | + | 6244.09i | −0.144376 | + | 0.537394i | ||||
\(514\) | 6034.77i | 0.517864i | ||||||||
\(515\) | 6577.91 | 0.562830 | ||||||||
\(516\) | 4653.97 | − | 6643.44i | 0.397054 | − | 0.566785i | ||||
\(517\) | 16067.1 | 1.36679 | ||||||||
\(518\) | − | 15400.5i | − | 1.30630i | ||||||
\(519\) | −10530.8 | − | 7377.23i | −0.890659 | − | 0.623939i | ||||
\(520\) | 4249.22 | 0.358348 | ||||||||
\(521\) | − | 2794.35i | − | 0.234976i | −0.993074 | − | 0.117488i | \(-0.962516\pi\) | ||
0.993074 | − | 0.117488i | \(-0.0374842\pi\) | |||||||
\(522\) | 8927.99 | − | 3245.06i | 0.748597 | − | 0.272093i | ||||
\(523\) | 16502.9 | 1.37977 | 0.689886 | − | 0.723918i | \(-0.257661\pi\) | ||||
0.689886 | + | 0.723918i | \(0.257661\pi\) | |||||||
\(524\) | 3746.44 | 0.312336 | ||||||||
\(525\) | 3876.32 | + | 2715.50i | 0.322241 | + | 0.225742i | ||||
\(526\) | 191.278i | 0.0158557i | ||||||||
\(527\) | 889.944 | 0.0735609 | ||||||||
\(528\) | 1961.09 | + | 1373.81i | 0.161639 | + | 0.113234i | ||||
\(529\) | −6602.71 | −0.542674 | ||||||||
\(530\) | 8581.05 | 0.703277 | ||||||||
\(531\) | 10003.4 | − | 7046.54i | 0.817533 | − | 0.575882i | ||||
\(532\) | 6240.52 | 0.508573 | ||||||||
\(533\) | −9189.23 | −0.746773 | ||||||||
\(534\) | 30011.0 | + | 21023.8i | 2.43202 | + | 1.70372i | ||||
\(535\) | 1739.24 | 0.140549 | ||||||||
\(536\) | 5559.13i | 0.447981i | ||||||||
\(537\) | −7219.60 | − | 5057.59i | −0.580165 | − | 0.406427i | ||||
\(538\) | −29328.6 | −2.35027 | ||||||||
\(539\) | −12851.0 | −1.02696 | ||||||||
\(540\) | −10717.2 | − | 2879.28i | −0.854067 | − | 0.229453i | ||||
\(541\) | 13410.8i | 1.06576i | 0.846192 | + | 0.532878i | \(0.178889\pi\) | ||||
−0.846192 | + | 0.532878i | \(0.821111\pi\) | |||||||
\(542\) | −21035.9 | −1.66710 | ||||||||
\(543\) | 10174.2 | + | 7127.41i | 0.804083 | + | 0.563290i | ||||
\(544\) | − | 21123.3i | − | 1.66480i | ||||||
\(545\) | −2410.93 | −0.189491 | ||||||||
\(546\) | 4004.98 | − | 5717.02i | 0.313915 | − | 0.448106i | ||||
\(547\) | 6557.46 | 0.512572 | 0.256286 | − | 0.966601i | \(-0.417501\pi\) | ||||
0.256286 | + | 0.966601i | \(0.417501\pi\) | |||||||
\(548\) | − | 20585.3i | − | 1.60467i | ||||||
\(549\) | −14192.7 | + | 5158.64i | −1.10333 | + | 0.401030i | ||||
\(550\) | −22256.6 | −1.72550 | ||||||||
\(551\) | 3503.73i | 0.270896i | ||||||||
\(552\) | 7955.32 | + | 5572.99i | 0.613407 | + | 0.429714i | ||||
\(553\) | −4074.18 | −0.313294 | ||||||||
\(554\) | −29253.5 | −2.24344 | ||||||||
\(555\) | −8272.96 | − | 5795.51i | −0.632734 | − | 0.443253i | ||||
\(556\) | 15643.7 | 1.19324 | ||||||||
\(557\) | − | 17276.0i | − | 1.31420i | −0.753805 | − | 0.657099i | \(-0.771783\pi\) | ||
0.753805 | − | 0.657099i | \(-0.228217\pi\) | |||||||
\(558\) | 793.907 | − | 288.562i | 0.0602308 | − | 0.0218921i | ||||
\(559\) | 3346.41 | 0.253199 | ||||||||
\(560\) | 514.558i | 0.0388287i | ||||||||
\(561\) | 20917.4 | − | 29859.1i | 1.57421 | − | 2.24715i | ||||
\(562\) | 9677.93i | 0.726404i | ||||||||
\(563\) | 15957.9 | 1.19457 | 0.597285 | − | 0.802029i | \(-0.296246\pi\) | ||||
0.597285 | + | 0.802029i | \(0.296246\pi\) | |||||||
\(564\) | 17210.3 | + | 12056.5i | 1.28490 | + | 0.900122i | ||||
\(565\) | − | 194.898i | − | 0.0145123i | ||||||
\(566\) | − | 34737.1i | − | 2.57970i | ||||||
\(567\) | −5641.19 | + | 4725.04i | −0.417826 | + | 0.349970i | ||||
\(568\) | − | 6284.06i | − | 0.464213i | ||||||
\(569\) | 16378.5 | 1.20672 | 0.603358 | − | 0.797471i | \(-0.293829\pi\) | ||||
0.603358 | + | 0.797471i | \(0.293829\pi\) | |||||||
\(570\) | 3748.88 | − | 5351.44i | 0.275479 | − | 0.393241i | ||||
\(571\) | − | 5837.15i | − | 0.427806i | −0.976855 | − | 0.213903i | \(-0.931382\pi\) | ||
0.976855 | − | 0.213903i | \(-0.0686177\pi\) | |||||||
\(572\) | 20562.8i | 1.50310i | ||||||||
\(573\) | −10830.3 | − | 7587.02i | −0.789603 | − | 0.553146i | ||||
\(574\) | − | 14926.1i | − | 1.08537i | ||||||
\(575\) | −6730.97 | −0.488176 | ||||||||
\(576\) | −7487.09 | − | 20598.9i | −0.541601 | − | 1.49008i | ||||
\(577\) | −24908.4 | −1.79714 | −0.898572 | − | 0.438826i | \(-0.855394\pi\) | ||||
−0.898572 | + | 0.438826i | \(0.855394\pi\) | |||||||
\(578\) | 57451.9 | 4.13440 | ||||||||
\(579\) | −13118.4 | − | 9189.89i | −0.941590 | − | 0.659618i | ||||
\(580\) | −6013.73 | −0.430529 | ||||||||
\(581\) | 3448.63 | 0.246254 | ||||||||
\(582\) | −14216.1 | + | 20293.2i | −1.01251 | + | 1.44533i | ||||
\(583\) | 16762.1i | 1.19077i | ||||||||
\(584\) | 11298.8i | 0.800598i | ||||||||
\(585\) | −1563.96 | − | 4302.84i | −0.110533 | − | 0.304104i | ||||
\(586\) | 34009.8i | 2.39749i | ||||||||
\(587\) | −24884.5 | −1.74973 | −0.874866 | − | 0.484365i | \(-0.839051\pi\) | ||||
−0.874866 | + | 0.484365i | \(0.839051\pi\) | |||||||
\(588\) | −13765.4 | − | 9643.18i | −0.965436 | − | 0.676323i | ||||
\(589\) | 311.563i | 0.0217958i | ||||||||
\(590\) | −11933.7 | + | 3239.35i | −0.832716 | + | 0.226037i | ||||
\(591\) | 11980.2 | − | 17101.4i | 0.833839 | − | 1.19029i | ||||
\(592\) | 2850.37i | 0.197887i | ||||||||
\(593\) | − | 4214.97i | − | 0.291885i | −0.989293 | − | 0.145943i | \(-0.953378\pi\) | ||
0.989293 | − | 0.145943i | \(-0.0466215\pi\) | |||||||
\(594\) | 8978.38 | − | 33419.3i | 0.620181 | − | 2.30843i | ||||
\(595\) | 7834.56 | 0.539808 | ||||||||
\(596\) | −17787.2 | −1.22247 | ||||||||
\(597\) | 19154.0 | + | 13418.1i | 1.31310 | + | 0.919877i | ||||
\(598\) | 9927.23i | 0.678854i | ||||||||
\(599\) | 26573.3i | 1.81261i | 0.422620 | + | 0.906307i | \(0.361110\pi\) | ||||
−0.422620 | + | 0.906307i | \(0.638890\pi\) | |||||||
\(600\) | −9623.34 | − | 6741.50i | −0.654785 | − | 0.458701i | ||||
\(601\) | 20051.3i | 1.36092i | 0.732787 | + | 0.680458i | \(0.238219\pi\) | ||||
−0.732787 | + | 0.680458i | \(0.761781\pi\) | |||||||
\(602\) | 5435.58i | 0.368003i | ||||||||
\(603\) | 5629.28 | − | 2046.08i | 0.380169 | − | 0.138180i | ||||
\(604\) | − | 40829.3i | − | 2.75053i | ||||||
\(605\) | 8902.41i | 0.598239i | ||||||||
\(606\) | −35458.7 | − | 24840.1i | −2.37691 | − | 1.66511i | ||||
\(607\) | −12265.2 | −0.820145 | −0.410072 | − | 0.912053i | \(-0.634497\pi\) | ||||
−0.410072 | + | 0.912053i | \(0.634497\pi\) | |||||||
\(608\) | 7395.11 | 0.493275 | ||||||||
\(609\) | −2287.98 | + | 3266.03i | −0.152239 | + | 0.217318i | ||||
\(610\) | 15260.9 | 1.01295 | ||||||||
\(611\) | 8669.14i | 0.574003i | ||||||||
\(612\) | 44811.4 | − | 16287.6i | 2.95980 | − | 1.07580i | ||||
\(613\) | 12455.2i | 0.820657i | 0.911938 | + | 0.410328i | \(0.134586\pi\) | ||||
−0.911938 | + | 0.410328i | \(0.865414\pi\) | |||||||
\(614\) | −22318.0 | −1.46691 | ||||||||
\(615\) | −8018.07 | − | 5616.95i | −0.525723 | − | 0.368288i | ||||
\(616\) | −13482.3 | −0.881849 | ||||||||
\(617\) | − | 13837.4i | − | 0.902872i | −0.892304 | − | 0.451436i | \(-0.850912\pi\) | ||
0.892304 | − | 0.451436i | \(-0.149088\pi\) | |||||||
\(618\) | −15391.6 | + | 21971.2i | −1.00185 | + | 1.43012i | ||||
\(619\) | −751.124 | −0.0487726 | −0.0243863 | − | 0.999703i | \(-0.507763\pi\) | ||||
−0.0243863 | + | 0.999703i | \(0.507763\pi\) | |||||||
\(620\) | −534.761 | −0.0346396 | ||||||||
\(621\) | 2715.30 | − | 10106.9i | 0.175461 | − | 0.653100i | ||||
\(622\) | 24402.2i | 1.57306i | ||||||||
\(623\) | −15381.8 | −0.989180 | ||||||||
\(624\) | −741.251 | + | 1058.12i | −0.0475542 | + | 0.0678825i | ||||
\(625\) | 3796.60 | 0.242982 | ||||||||
\(626\) | 40963.2i | 2.61536i | ||||||||
\(627\) | 10453.5 | + | 7323.03i | 0.665823 | + | 0.466433i | ||||
\(628\) | − | 36638.4i | − | 2.32808i | ||||||
\(629\) | 43399.1 | 2.75109 | ||||||||
\(630\) | 6989.10 | − | 2540.33i | 0.441988 | − | 0.160650i | ||||
\(631\) | 8416.49 | 0.530991 | 0.265495 | − | 0.964112i | \(-0.414465\pi\) | ||||
0.265495 | + | 0.964112i | \(0.414465\pi\) | |||||||
\(632\) | 10114.5 | 0.636605 | ||||||||
\(633\) | −13617.0 | + | 19438.0i | −0.855020 | + | 1.22052i | ||||
\(634\) | 37600.9i | 2.35540i | ||||||||
\(635\) | − | 3569.00i | − | 0.223042i | ||||||
\(636\) | −12578.0 | + | 17954.8i | −0.784199 | + | 1.11943i | ||||
\(637\) | − | 6933.88i | − | 0.431287i | ||||||
\(638\) | − | 18752.5i | − | 1.16366i | ||||||
\(639\) | −6363.35 | + | 2312.89i | −0.393944 | + | 0.143187i | ||||
\(640\) | 14580.0i | 0.900509i | ||||||||
\(641\) | − | 3885.41i | − | 0.239414i | −0.992809 | − | 0.119707i | \(-0.961804\pi\) | ||
0.992809 | − | 0.119707i | \(-0.0381955\pi\) | |||||||
\(642\) | −4069.64 | + | 5809.32i | −0.250180 | + | 0.357127i | ||||
\(643\) | −1897.58 | −0.116382 | −0.0581908 | − | 0.998305i | \(-0.518533\pi\) | ||||
−0.0581908 | + | 0.998305i | \(0.518533\pi\) | |||||||
\(644\) | −10101.1 | −0.618073 | ||||||||
\(645\) | 2919.92 | + | 2045.51i | 0.178251 | + | 0.124871i | ||||
\(646\) | 28073.1i | 1.70979i | ||||||||
\(647\) | 17928.3i | 1.08939i | 0.838635 | + | 0.544694i | \(0.183354\pi\) | ||||
−0.838635 | + | 0.544694i | \(0.816646\pi\) | |||||||
\(648\) | 14004.8 | − | 11730.4i | 0.849012 | − | 0.711130i | ||||
\(649\) | −6327.71 | − | 23311.2i | −0.382719 | − | 1.40993i | ||||
\(650\) | − | 12008.7i | − | 0.724646i | ||||||
\(651\) | −203.454 | + | 290.427i | −0.0122489 | + | 0.0174850i | ||||
\(652\) | −6895.38 | −0.414178 | ||||||||
\(653\) | − | 1789.92i | − | 0.107266i | −0.998561 | − | 0.0536331i | \(-0.982920\pi\) | ||
0.998561 | − | 0.0536331i | \(-0.0170801\pi\) | |||||||
\(654\) | 5641.32 | − | 8052.86i | 0.337299 | − | 0.481486i | ||||
\(655\) | 1646.63i | 0.0982279i | ||||||||
\(656\) | 2762.55i | 0.164420i | ||||||||
\(657\) | 11441.4 | − | 4158.62i | 0.679410 | − | 0.246945i | ||||
\(658\) | −14081.3 | −0.834264 | ||||||||
\(659\) | −15179.7 | −0.897298 | −0.448649 | − | 0.893708i | \(-0.648095\pi\) | ||||
−0.448649 | + | 0.893708i | \(0.648095\pi\) | |||||||
\(660\) | −12569.1 | + | 17942.1i | −0.741291 | + | 1.05818i | ||||
\(661\) | −23153.2 | −1.36241 | −0.681207 | − | 0.732091i | \(-0.738545\pi\) | ||||
−0.681207 | + | 0.732091i | \(0.738545\pi\) | |||||||
\(662\) | 54330.8 | 3.18977 | ||||||||
\(663\) | 16110.7 | + | 11286.1i | 0.943723 | + | 0.661112i | ||||
\(664\) | −8561.55 | −0.500381 | ||||||||
\(665\) | 2742.83i | 0.159943i | ||||||||
\(666\) | 38715.8 | − | 14072.0i | 2.25256 | − | 0.818740i | ||||
\(667\) | − | 5671.25i | − | 0.329223i | ||||||
\(668\) | 21498.5i | 1.24522i | ||||||||
\(669\) | 1053.94 | + | 738.324i | 0.0609084 | + | 0.0426686i | ||||
\(670\) | −6052.96 | −0.349024 | ||||||||
\(671\) | 29810.6i | 1.71509i | ||||||||
\(672\) | 6893.42 | + | 4829.09i | 0.395714 | + | 0.277212i | ||||
\(673\) | 20396.6i | 1.16825i | 0.811664 | + | 0.584125i | \(0.198562\pi\) | ||||
−0.811664 | + | 0.584125i | \(0.801438\pi\) | |||||||
\(674\) | 33979.0i | 1.94188i | ||||||||
\(675\) | −3284.63 | + | 12226.0i | −0.187297 | + | 0.697155i | ||||
\(676\) | 18378.3 | 1.04565 | ||||||||
\(677\) | 19292.1i | 1.09521i | 0.836738 | + | 0.547603i | \(0.184460\pi\) | ||||
−0.836738 | + | 0.547603i | \(0.815540\pi\) | |||||||
\(678\) | 650.990 | + | 456.042i | 0.0368748 | + | 0.0258321i | ||||
\(679\) | − | 10401.1i | − | 0.587860i | ||||||
\(680\) | −19450.0 | −1.09687 | ||||||||
\(681\) | 5004.00 | + | 3505.48i | 0.281577 | + | 0.197255i | ||||
\(682\) | − | 1667.53i | − | 0.0936263i | ||||||
\(683\) | 29395.9 | 1.64685 | 0.823427 | − | 0.567422i | \(-0.192059\pi\) | ||||
0.823427 | + | 0.567422i | \(0.192059\pi\) | |||||||
\(684\) | 5702.19 | + | 15688.2i | 0.318755 | + | 0.876977i | ||||
\(685\) | 9047.63 | 0.504660 | ||||||||
\(686\) | 27284.9 | 1.51858 | ||||||||
\(687\) | −11544.5 | + | 16479.5i | −0.641121 | + | 0.915186i | ||||
\(688\) | − | 1006.03i | − | 0.0557478i | ||||||
\(689\) | −9044.15 | −0.500079 | ||||||||
\(690\) | −6068.06 | + | 8662.01i | −0.334793 | + | 0.477909i | ||||
\(691\) | − | 19024.6i | − | 1.04736i | −0.851914 | − | 0.523682i | \(-0.824558\pi\) | ||
0.851914 | − | 0.523682i | \(-0.175442\pi\) | |||||||
\(692\) | −33195.5 | −1.82356 | ||||||||
\(693\) | 4962.27 | + | 13652.5i | 0.272007 | + | 0.748361i | ||||
\(694\) | 52176.3 | 2.85387 | ||||||||
\(695\) | 6875.72i | 0.375268i | ||||||||
\(696\) | 5680.12 | − | 8108.24i | 0.309345 | − | 0.441583i | ||||
\(697\) | 42062.0 | 2.28581 | ||||||||
\(698\) | 11134.1i | 0.603770i | ||||||||
\(699\) | 11105.9 | + | 7780.08i | 0.600949 | + | 0.420987i | ||||
\(700\) | 12219.0 | 0.659766 | ||||||||
\(701\) | −29699.6 | −1.60020 | −0.800099 | − | 0.599868i | \(-0.795220\pi\) | ||||
−0.800099 | + | 0.599868i | \(0.795220\pi\) | |||||||
\(702\) | 18031.6 | + | 4844.36i | 0.969460 | + | 0.260454i | ||||
\(703\) | 15193.7i | 0.815139i | ||||||||
\(704\) | −43266.2 | −2.31627 | ||||||||
\(705\) | −5299.05 | + | 7564.27i | −0.283083 | + | 0.404095i | ||||
\(706\) | −11358.0 | −0.605472 | ||||||||
\(707\) | 18174.0 | 0.966765 | ||||||||
\(708\) | 10714.3 | − | 29718.0i | 0.568742 | − | 1.57750i | ||||
\(709\) | 10911.1 | 0.577961 | 0.288981 | − | 0.957335i | \(-0.406684\pi\) | ||||
0.288981 | + | 0.957335i | \(0.406684\pi\) | |||||||
\(710\) | 6842.29 | 0.361671 | ||||||||
\(711\) | −3722.72 | − | 10242.2i | −0.196362 | − | 0.540240i | ||||
\(712\) | 38186.8 | 2.00999 | ||||||||
\(713\) | − | 504.306i | − | 0.0264887i | ||||||
\(714\) | −18332.1 | + | 26168.6i | −0.960869 | + | 1.37162i | ||||
\(715\) | −9037.75 | −0.472717 | ||||||||
\(716\) | −22757.8 | −1.18785 | ||||||||
\(717\) | 15282.8 | − | 21815.9i | 0.796020 | − | 1.13630i | ||||
\(718\) | − | 18173.0i | − | 0.944582i | ||||||
\(719\) | −1121.25 | −0.0581579 | −0.0290790 | − | 0.999577i | \(-0.509257\pi\) | ||||
−0.0290790 | + | 0.999577i | \(0.509257\pi\) | |||||||
\(720\) | −1293.56 | + | 470.171i | −0.0669557 | + | 0.0243364i | ||||
\(721\) | − | 11261.1i | − | 0.581673i | ||||||
\(722\) | 21912.9 | 1.12952 | ||||||||
\(723\) | −12772.2 | − | 8947.41i | −0.656991 | − | 0.460246i | ||||
\(724\) | 32071.4 | 1.64630 | ||||||||
\(725\) | 6860.36i | 0.351431i | ||||||||
\(726\) | −29735.4 | − | 20830.7i | −1.52009 | − | 1.06488i | ||||
\(727\) | −8366.74 | −0.426830 | −0.213415 | − | 0.976962i | \(-0.568459\pi\) | ||||
−0.213415 | + | 0.976962i | \(0.568459\pi\) | |||||||
\(728\) | − | 7274.50i | − | 0.370345i | ||||||
\(729\) | −17032.9 | − | 9864.06i | −0.865363 | − | 0.501146i | ||||
\(730\) | −12302.6 | −0.623751 | ||||||||
\(731\) | −15317.6 | −0.775023 | ||||||||
\(732\) | −22369.3 | + | 31931.7i | −1.12950 | + | 1.61234i | ||||
\(733\) | −13068.8 | −0.658535 | −0.329267 | − | 0.944237i | \(-0.606802\pi\) | ||||
−0.329267 | + | 0.944237i | \(0.606802\pi\) | |||||||
\(734\) | 52907.9i | 2.66058i | ||||||||
\(735\) | 4238.36 | − | 6050.16i | 0.212700 | − | 0.303624i | ||||
\(736\) | −11970.0 | −0.599482 | ||||||||
\(737\) | − | 11823.8i | − | 0.590957i | ||||||
\(738\) | 37523.0 | − | 13638.5i | 1.87160 | − | 0.680271i | ||||
\(739\) | 27498.4i | 1.36880i | 0.729105 | + | 0.684402i | \(0.239937\pi\) | ||||
−0.729105 | + | 0.684402i | \(0.760063\pi\) | |||||||
\(740\) | −26078.2 | −1.29548 | ||||||||
\(741\) | −3951.20 | + | 5640.25i | −0.195885 | + | 0.279622i | ||||
\(742\) | − | 14690.4i | − | 0.726822i | ||||||
\(743\) | 15660.2i | 0.773241i | 0.922239 | + | 0.386621i | \(0.126358\pi\) | ||||
−0.922239 | + | 0.386621i | \(0.873642\pi\) | |||||||
\(744\) | 505.095 | − | 721.012i | 0.0248894 | − | 0.0355290i | ||||
\(745\) | − | 7817.83i | − | 0.384461i | ||||||
\(746\) | −14323.3 | −0.702965 | ||||||||
\(747\) | 3151.14 | + | 8669.59i | 0.154343 | + | 0.424637i | ||||
\(748\) | − | 94122.6i | − | 4.60088i | ||||||
\(749\) | − | 2977.51i | − | 0.145255i | ||||||
\(750\) | 17508.8 | − | 24993.4i | 0.852442 | − | 1.21684i | ||||
\(751\) | 8067.62i | 0.392000i | 0.980604 | + | 0.196000i | \(0.0627952\pi\) | ||||
−0.980604 | + | 0.196000i | \(0.937205\pi\) | |||||||
\(752\) | 2606.20 | 0.126381 | ||||||||
\(753\) | −16242.9 | + | 23186.3i | −0.786086 | + | 1.12212i | ||||
\(754\) | 10118.1 | 0.488697 | ||||||||
\(755\) | 17945.2 | 0.865026 | ||||||||
\(756\) | −4929.21 | + | 18347.5i | −0.237134 | + | 0.882660i | ||||
\(757\) | 11714.4 | 0.562438 | 0.281219 | − | 0.959644i | \(-0.409261\pi\) | ||||
0.281219 | + | 0.959644i | \(0.409261\pi\) | |||||||
\(758\) | −13985.4 | −0.670150 | ||||||||
\(759\) | −16920.3 | − | 11853.3i | −0.809181 | − | 0.566861i | ||||
\(760\) | − | 6809.32i | − | 0.325000i | ||||||
\(761\) | − | 27554.7i | − | 1.31256i | −0.754517 | − | 0.656280i | \(-0.772129\pi\) | ||
0.754517 | − | 0.656280i | \(-0.227871\pi\) | |||||||
\(762\) | 11921.0 | + | 8351.11i | 0.566736 | + | 0.397019i | ||||
\(763\) | 4127.41i | 0.195835i | ||||||||
\(764\) | −34139.6 | −1.61666 | ||||||||
\(765\) | 7158.72 | + | 19695.5i | 0.338332 | + | 0.930838i | ||||
\(766\) | − | 31141.9i | − | 1.46893i | ||||||
\(767\) | 12577.7 | − | 3414.17i | 0.592119 | − | 0.160728i | ||||
\(768\) | −21062.3 | − | 14754.9i | −0.989611 | − | 0.693258i | ||||
\(769\) | − | 10523.3i | − | 0.493471i | −0.969083 | − | 0.246735i | \(-0.920642\pi\) | ||
0.969083 | − | 0.246735i | \(-0.0793579\pi\) | |||||||
\(770\) | − | 14680.0i | − | 0.687053i | ||||||
\(771\) | 3887.85 | − | 5549.82i | 0.181605 | − | 0.259237i | ||||
\(772\) | −41352.0 | −1.92784 | ||||||||
\(773\) | 9615.25 | 0.447395 | 0.223698 | − | 0.974659i | \(-0.428187\pi\) | ||||
0.223698 | + | 0.974659i | \(0.428187\pi\) | |||||||
\(774\) | −13664.6 | + | 4966.69i | −0.634579 | + | 0.230651i | ||||
\(775\) | 610.046i | 0.0282755i | ||||||||
\(776\) | 25821.7i | 1.19452i | ||||||||
\(777\) | −9921.68 | + | 14163.0i | −0.458093 | + | 0.653918i | ||||
\(778\) | 22195.0i | 1.02279i | ||||||||
\(779\) | 14725.6i | 0.677279i | ||||||||
\(780\) | −9680.81 | − | 6781.76i | −0.444396 | − | 0.311315i | ||||
\(781\) | 13365.7i | 0.612370i | ||||||||
\(782\) | − | 45440.1i | − | 2.07792i | ||||||
\(783\) | −10301.2 | − | 2767.50i | −0.470158 | − | 0.126312i | ||||
\(784\) | −2084.52 | −0.0949582 | ||||||||
\(785\) | 16103.3 | 0.732166 | ||||||||
\(786\) | −5500.00 | − | 3852.95i | −0.249591 | − | 0.174848i | ||||
\(787\) | −2154.13 | −0.0975685 | −0.0487843 | − | 0.998809i | \(-0.515535\pi\) | ||||
−0.0487843 | + | 0.998809i | \(0.515535\pi\) | |||||||
\(788\) | − | 53907.6i | − | 2.43703i | ||||||
\(789\) | 123.229 | − | 175.907i | 0.00556031 | − | 0.00793721i | ||||
\(790\) | 11013.0i | 0.495982i | ||||||||
\(791\) | −333.658 | −0.0149981 | ||||||||
\(792\) | −12319.3 | − | 33893.5i | −0.552711 | − | 1.52065i | ||||
\(793\) | −16084.5 | −0.720276 | ||||||||
\(794\) | − | 29964.9i | − | 1.33931i | ||||||
\(795\) | −7891.48 | − | 5528.27i | −0.352053 | − | 0.246626i | ||||
\(796\) | 60377.9 | 2.68849 | ||||||||
\(797\) | 7133.48 | 0.317040 | 0.158520 | − | 0.987356i | \(-0.449328\pi\) | ||||
0.158520 | + | 0.987356i | \(0.449328\pi\) | |||||||
\(798\) | −9161.45 | − | 6417.93i | −0.406406 | − | 0.284702i | ||||
\(799\) | − | 39681.4i | − | 1.75698i | ||||||
\(800\) | 14479.7 | 0.639920 | ||||||||
\(801\) | −14054.9 | − | 38668.6i | −0.619982 | − | 1.70573i | ||||
\(802\) | −26331.1 | −1.15933 | ||||||||
\(803\) | − | 24031.7i | − | 1.05612i | ||||||
\(804\) | 8872.37 | − | 12665.1i | 0.389184 | − | 0.555552i | ||||
\(805\) | − | 4439.63i | − | 0.194380i | ||||||
\(806\) | 899.731 | 0.0393197 | ||||||||
\(807\) | 26971.8 | + | 18894.7i | 1.17652 | + | 0.824196i | ||||
\(808\) | −45118.6 | −1.96444 | ||||||||
\(809\) | 9019.73 | 0.391986 | 0.195993 | − | 0.980605i | \(-0.437207\pi\) | ||||
0.195993 | + | 0.980605i | \(0.437207\pi\) | |||||||
\(810\) | 12772.4 | + | 15248.9i | 0.554045 | + | 0.661470i | ||||
\(811\) | − | 21944.8i | − | 0.950168i | −0.879940 | − | 0.475084i | \(-0.842418\pi\) | ||
0.879940 | − | 0.475084i | \(-0.157582\pi\) | |||||||
\(812\) | 10295.3i | 0.444942i | ||||||||
\(813\) | 19345.5 | + | 13552.2i | 0.834533 | + | 0.584621i | ||||
\(814\) | − | 81319.1i | − | 3.50152i | ||||||
\(815\) | − | 3030.65i | − | 0.130256i | ||||||
\(816\) | 3392.94 | − | 4843.35i | 0.145560 | − | 0.207783i | ||||
\(817\) | − | 5362.58i | − | 0.229636i | ||||||
\(818\) | − | 29689.4i | − | 1.26903i | ||||||
\(819\) | −7366.30 | + | 2677.43i | −0.314285 | + | 0.114233i | ||||
\(820\) | −25274.8 | −1.07638 | ||||||||
\(821\) | −6364.35 | −0.270545 | −0.135272 | − | 0.990808i | \(-0.543191\pi\) | ||||
−0.135272 | + | 0.990808i | \(0.543191\pi\) | |||||||
\(822\) | −21170.5 | + | 30220.5i | −0.898306 | + | 1.28231i | ||||
\(823\) | 35235.2i | 1.49237i | 0.665739 | + | 0.746185i | \(0.268117\pi\) | ||||
−0.665739 | + | 0.746185i | \(0.731883\pi\) | |||||||
\(824\) | 27956.8i | 1.18194i | ||||||||
\(825\) | 20468.0 | + | 14338.6i | 0.863765 | + | 0.605099i | ||||
\(826\) | 5545.63 | + | 20430.0i | 0.233604 | + | 0.860594i | ||||
\(827\) | − | 6231.54i | − | 0.262021i | −0.991381 | − | 0.131011i | \(-0.958178\pi\) | ||
0.991381 | − | 0.131011i | \(-0.0418222\pi\) | |||||||
\(828\) | −9229.75 | − | 25393.4i | −0.387386 | − | 1.06580i | ||||
\(829\) | −26098.6 | −1.09342 | −0.546708 | − | 0.837323i | \(-0.684119\pi\) | ||||
−0.546708 | + | 0.837323i | \(0.684119\pi\) | |||||||
\(830\) | − | 9322.10i | − | 0.389849i | ||||||
\(831\) | 26902.7 | + | 18846.4i | 1.12304 | + | 0.786730i | ||||
\(832\) | − | 23344.6i | − | 0.972751i | ||||||
\(833\) | 31738.5i | 1.32014i | ||||||||
\(834\) | −22966.0 | − | 16088.5i | −0.953532 | − | 0.667984i | ||||
\(835\) | −9449.02 | −0.391613 | ||||||||
\(836\) | 32951.7 | 1.36323 | ||||||||
\(837\) | −916.014 | − | 246.095i | −0.0378280 | − | 0.0101628i | ||||
\(838\) | 261.181 | 0.0107665 | ||||||||
\(839\) | 4962.97 | 0.204220 | 0.102110 | − | 0.994773i | \(-0.467441\pi\) | ||||
0.102110 | + | 0.994773i | \(0.467441\pi\) | |||||||
\(840\) | 4446.57 | − | 6347.38i | 0.182644 | − | 0.260721i | ||||
\(841\) | 18608.7 | 0.762997 | ||||||||
\(842\) | 28094.3i | 1.14987i | ||||||||
\(843\) | 6234.93 | − | 8900.23i | 0.254736 | − | 0.363630i | ||||
\(844\) | 61272.8i | 2.49893i | ||||||||
\(845\) | 8077.61i | 0.328850i | ||||||||
\(846\) | −12866.6 | − | 35399.2i | −0.522887 | − | 1.43859i | ||||
\(847\) | 15240.6 | 0.618267 | ||||||||
\(848\) | 2718.93i | 0.110104i | ||||||||
\(849\) | −22379.1 | + | 31945.7i | −0.904652 | + | 1.29137i | ||||
\(850\) | 54967.6i | 2.21809i | ||||||||
\(851\) | − | 24593.1i | − | 0.990645i | ||||||
\(852\) | −10029.4 | + | 14316.7i | −0.403286 | + | 0.575682i | ||||
\(853\) | 11139.2 | 0.447128 | 0.223564 | − | 0.974689i | \(-0.428231\pi\) | ||||
0.223564 | + | 0.974689i | \(0.428231\pi\) | |||||||
\(854\) | − | 26126.1i | − | 1.04686i | ||||||
\(855\) | −6895.25 | + | 2506.22i | −0.275804 | + | 0.100247i | ||||
\(856\) | 7391.94i | 0.295153i | ||||||||
\(857\) | −23620.2 | −0.941483 | −0.470741 | − | 0.882271i | \(-0.656013\pi\) | ||||
−0.470741 | + | 0.882271i | \(0.656013\pi\) | |||||||
\(858\) | 21147.4 | − | 30187.5i | 0.841446 | − | 1.20115i | ||||
\(859\) | − | 31829.2i | − | 1.26426i | −0.774862 | − | 0.632130i | \(-0.782181\pi\) | ||
0.774862 | − | 0.632130i | \(-0.217819\pi\) | |||||||
\(860\) | 9204.23 | 0.364955 | ||||||||
\(861\) | −9616.00 | + | 13726.6i | −0.380618 | + | 0.543324i | ||||
\(862\) | −4657.59 | −0.184035 | ||||||||
\(863\) | −8224.22 | −0.324398 | −0.162199 | − | 0.986758i | \(-0.551859\pi\) | ||||
−0.162199 | + | 0.986758i | \(0.551859\pi\) | |||||||
\(864\) | −5841.19 | + | 21742.0i | −0.230002 | + | 0.856110i | ||||
\(865\) | − | 14590.1i | − | 0.573499i | ||||||
\(866\) | 59694.8 | 2.34239 | ||||||||
\(867\) | −52835.2 | − | 37013.0i | −2.06964 | − | 1.44986i | ||||
\(868\) | 915.490i | 0.0357993i | ||||||||
\(869\) | −21512.8 | −0.839782 | ||||||||
\(870\) | 8828.52 | + | 6184.70i | 0.344040 | + | 0.241013i | ||||
\(871\) | 6379.63 | 0.248181 | ||||||||
\(872\) | − | 10246.7i | − | 0.397932i | ||||||
\(873\) | 26147.5 | − | 9503.85i | 1.01370 | − | 0.368450i | ||||
\(874\) | 15908.2 | 0.615680 | ||||||||
\(875\) | 12810.1i | 0.494927i | ||||||||
\(876\) | 18033.0 | − | 25741.6i | 0.695522 | − | 0.992842i | ||||
\(877\) | 27049.7 | 1.04151 | 0.520755 | − | 0.853706i | \(-0.325650\pi\) | ||||
0.520755 | + | 0.853706i | \(0.325650\pi\) | |||||||
\(878\) | −62917.2 | −2.41840 | ||||||||
\(879\) | 21910.5 | − | 31276.8i | 0.840756 | − | 1.20016i | ||||
\(880\) | 2717.01i | 0.104080i | ||||||||
\(881\) | −38603.4 | −1.47625 | −0.738127 | − | 0.674662i | \(-0.764290\pi\) | ||||
−0.738127 | + | 0.674662i | \(0.764290\pi\) | |||||||
\(882\) | 10291.1 | + | 28313.5i | 0.392880 | + | 1.08091i | ||||
\(883\) | −39937.9 | −1.52210 | −0.761052 | − | 0.648690i | \(-0.775317\pi\) | ||||
−0.761052 | + | 0.648690i | \(0.775317\pi\) | |||||||
\(884\) | 50784.6 | 1.93221 | ||||||||
\(885\) | 13061.6 | + | 4709.15i | 0.496115 | + | 0.178866i | ||||
\(886\) | −76186.8 | −2.88888 | ||||||||
\(887\) | −38978.7 | −1.47551 | −0.737754 | − | 0.675070i | \(-0.764113\pi\) | ||||
−0.737754 | + | 0.675070i | \(0.764113\pi\) | |||||||
\(888\) | 24631.5 | − | 35160.9i | 0.930833 | − | 1.32874i | ||||
\(889\) | −6110.00 | −0.230509 | ||||||||
\(890\) | 41579.0i | 1.56599i | ||||||||
\(891\) | −29787.0 | + | 24949.5i | −1.11998 | + | 0.938092i | ||||
\(892\) | 3322.26 | 0.124706 | ||||||||
\(893\) | 13892.2 | 0.520587 | ||||||||
\(894\) | 26112.7 | + | 18292.9i | 0.976891 | + | 0.684348i | ||||
\(895\) | − | 10002.5i | − | 0.373571i | ||||||
\(896\) | 24960.4 | 0.930658 | ||||||||
\(897\) | 6395.54 | − | 9129.49i | 0.238061 | − | 0.339827i | ||||
\(898\) | 67842.1i | 2.52107i | ||||||||
\(899\) | −514.000 | −0.0190688 | ||||||||
\(900\) | 11165.0 | + | 30717.7i | 0.413518 | + | 1.13769i | ||||
\(901\) | 41397.9 | 1.53070 | ||||||||
\(902\) | − | 78813.7i | − | 2.90932i | ||||||
\(903\) | 3501.83 | − | 4998.78i | 0.129052 | − | 0.184218i | ||||
\(904\) | 828.338 | 0.0304758 | ||||||||
\(905\) | 14096.0i | 0.517753i | ||||||||
\(906\) | −41990.0 | + | 59939.9i | −1.53976 | + | 2.19798i | ||||
\(907\) | −12606.7 | −0.461518 | −0.230759 | − | 0.973011i | \(-0.574121\pi\) | ||||
−0.230759 | + | 0.973011i | \(0.574121\pi\) | |||||||
\(908\) | 15773.7 | 0.576508 | ||||||||
\(909\) | 16606.2 | + | 45687.9i | 0.605934 | + | 1.66708i | ||||
\(910\) | 7920.72 | 0.288538 | ||||||||
\(911\) | 7996.20i | 0.290808i | 0.989372 | + | 0.145404i | \(0.0464482\pi\) | ||||
−0.989372 | + | 0.145404i | \(0.953552\pi\) | |||||||
\(912\) | 1695.62 | + | 1187.84i | 0.0615654 | + | 0.0431288i | ||||
\(913\) | 18209.7 | 0.660081 | ||||||||
\(914\) | 9118.31i | 0.329986i | ||||||||
\(915\) | −14034.6 | − | 9831.74i | −0.507070 | − | 0.355221i | ||||
\(916\) | 51947.1i | 1.87378i | ||||||||
\(917\) | 2818.97 | 0.101516 | ||||||||
\(918\) | −82536.5 | − | 22174.2i | −2.96744 | − | 0.797229i | ||||
\(919\) | − | 40590.8i | − | 1.45698i | −0.685056 | − | 0.728491i | \(-0.740222\pi\) | ||
0.685056 | − | 0.728491i | \(-0.259778\pi\) | |||||||
\(920\) | 11021.8i | 0.394976i | ||||||||
\(921\) | 20524.5 | + | 14378.2i | 0.734317 | + | 0.514416i | ||||
\(922\) | − | 50694.4i | − | 1.81077i | ||||||
\(923\) | −7211.56 | −0.257174 | ||||||||
\(924\) | 30716.2 | + | 21517.8i | 1.09360 | + | 0.766108i | ||||
\(925\) | 29749.6i | 1.05747i | ||||||||
\(926\) | 75473.2i | 2.67841i | ||||||||
\(927\) | 28309.6 | − | 10289.7i | 1.00303 | − | 0.364572i | ||||
\(928\) | 12200.1i | 0.431559i | ||||||||
\(929\) | −3584.68 | −0.126598 | −0.0632991 | − | 0.997995i | \(-0.520162\pi\) | ||||
−0.0632991 | + | 0.997995i | \(0.520162\pi\) | |||||||
\(930\) | 785.061 | + | 549.964i | 0.0276808 | + | 0.0193914i | ||||
\(931\) | −11111.4 | −0.391152 | ||||||||
\(932\) | 35008.2 | 1.23040 | ||||||||
\(933\) | 15721.0 | − | 22441.3i | 0.551641 | − | 0.787455i | ||||
\(934\) | 46853.5 | 1.64143 | ||||||||
\(935\) | 41368.6 | 1.44695 | ||||||||
\(936\) | 18287.5 | − | 6646.98i | 0.638618 | − | 0.232119i | ||||
\(937\) | − | 1948.62i | − | 0.0679388i | −0.999423 | − | 0.0339694i | \(-0.989185\pi\) | ||
0.999423 | − | 0.0339694i | \(-0.0108149\pi\) | |||||||
\(938\) | 10362.4i | 0.360709i | ||||||||
\(939\) | 26390.2 | − | 37671.4i | 0.917158 | − | 1.30922i | ||||
\(940\) | 23844.3i | 0.827356i | ||||||||
\(941\) | 8750.04 | 0.303128 | 0.151564 | − | 0.988447i | \(-0.451569\pi\) | ||||
0.151564 | + | 0.988447i | \(0.451569\pi\) | |||||||
\(942\) | −37680.0 | + | 53787.4i | −1.30327 | + | 1.86039i | ||||
\(943\) | − | 23835.4i | − | 0.823103i | ||||||
\(944\) | −1026.40 | − | 3781.23i | −0.0353881 | − | 0.130369i | ||||
\(945\) | −8064.06 | − | 2166.48i | −0.277591 | − | 0.0745774i | ||||
\(946\) | 28701.3i | 0.986428i | ||||||||
\(947\) | 7137.19i | 0.244908i | 0.992474 | + | 0.122454i | \(0.0390763\pi\) | ||||
−0.992474 | + | 0.122454i | \(0.960924\pi\) | |||||||
\(948\) | −23043.5 | − | 16142.8i | −0.789470 | − | 0.553052i | ||||
\(949\) | 12966.5 | 0.443531 | ||||||||
\(950\) | −19243.8 | −0.657211 | ||||||||
\(951\) | 24224.1 | − | 34579.4i | 0.825994 | − | 1.17909i | ||||
\(952\) | 33297.7i | 1.13360i | ||||||||
\(953\) | − | 7562.46i | − | 0.257054i | −0.991706 | − | 0.128527i | \(-0.958975\pi\) | ||
0.991706 | − | 0.128527i | \(-0.0410249\pi\) | |||||||
\(954\) | 36930.5 | − | 13423.2i | 1.25332 | − | 0.455546i | ||||
\(955\) | − | 15005.0i | − | 0.508429i | ||||||
\(956\) | − | 68768.5i | − | 2.32650i | ||||||
\(957\) | −12081.1 | + | 17245.6i | −0.408075 | + | 0.582518i | ||||
\(958\) | − | 8662.68i | − | 0.292149i | ||||||
\(959\) | − | 15489.2i | − | 0.521556i | ||||||
\(960\) | 14269.5 | − | 20369.4i | 0.479735 | − | 0.684811i | ||||
\(961\) | 29745.3 | 0.998466 | ||||||||
\(962\) | 43876.4 | 1.47051 | ||||||||
\(963\) | 7485.22 | − | 2720.66i | 0.250475 | − | 0.0910404i | ||||
\(964\) | −40260.9 | −1.34514 | ||||||||
\(965\) | − | 18175.0i | − | 0.606294i | ||||||
\(966\) | 14829.0 | + | 10388.3i | 0.493909 | + | 0.346001i | ||||
\(967\) | 21113.6i | 0.702138i | 0.936350 | + | 0.351069i | \(0.114182\pi\) | ||||
−0.936350 | + | 0.351069i | \(0.885818\pi\) | |||||||
\(968\) | −37836.2 | −1.25630 | ||||||||
\(969\) | 18085.9 | − | 25817.2i | 0.599590 | − | 0.855901i | ||||
\(970\) | −28115.5 | −0.930654 | ||||||||
\(971\) | 14513.2i | 0.479660i | 0.970815 | + | 0.239830i | \(0.0770918\pi\) | ||||
−0.970815 | + | 0.239830i | \(0.922908\pi\) | |||||||
\(972\) | −50628.1 | + | 4373.11i | −1.67068 | + | 0.144308i | ||||
\(973\) | 11771.0 | 0.387831 | ||||||||
\(974\) | 25800.7 | 0.848777 | ||||||||
\(975\) | −7736.51 | + | 11043.7i | −0.254120 | + | 0.362750i | ||||
\(976\) | 4835.48i | 0.158586i | ||||||||
\(977\) | 33445.8 | 1.09522 | 0.547608 | − | 0.836735i | \(-0.315538\pi\) | ||||
0.547608 | + | 0.836735i | \(0.315538\pi\) | |||||||
\(978\) | 10122.8 | + | 7091.41i | 0.330974 | + | 0.231859i | ||||
\(979\) | −81220.1 | −2.65149 | ||||||||
\(980\) | − | 19071.5i | − | 0.621648i | ||||||
\(981\) | −10376.0 | + | 3771.37i | −0.337696 | + | 0.122743i | ||||
\(982\) | 1787.15i | 0.0580756i | ||||||||
\(983\) | −45100.3 | −1.46335 | −0.731677 | − | 0.681652i | \(-0.761262\pi\) | ||||
−0.731677 | + | 0.681652i | \(0.761262\pi\) | |||||||
\(984\) | 23872.6 | − | 34077.7i | 0.773406 | − | 1.10402i | ||||
\(985\) | 23693.4 | 0.766430 | ||||||||
\(986\) | −46313.5 | −1.49587 | ||||||||
\(987\) | 12949.7 | + | 9071.76i | 0.417624 | + | 0.292561i | ||||
\(988\) | 17779.3i | 0.572506i | ||||||||
\(989\) | 8680.05i | 0.279079i | ||||||||
\(990\) | 36904.4 | − | 13413.7i | 1.18475 | − | 0.430620i | ||||
\(991\) | 22423.7i | 0.718782i | 0.933187 | + | 0.359391i | \(0.117016\pi\) | ||||
−0.933187 | + | 0.359391i | \(0.882984\pi\) | |||||||
\(992\) | 1084.87i | 0.0347224i | ||||||||
\(993\) | −49964.8 | − | 35002.2i | −1.59676 | − | 1.11859i | ||||
\(994\) | − | 11713.7i | − | 0.373779i | ||||||
\(995\) | 26537.2i | 0.845513i | ||||||||
\(996\) | 19505.4 | + | 13664.2i | 0.620534 | + | 0.434707i | ||||
\(997\) | −27130.8 | −0.861828 | −0.430914 | − | 0.902393i | \(-0.641809\pi\) | ||||
−0.430914 | + | 0.902393i | \(0.641809\pi\) | |||||||
\(998\) | −33413.4 | −1.05980 | ||||||||
\(999\) | −44670.4 | − | 12001.1i | −1.41472 | − | 0.380078i |
(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 | 177.4.d.c.176.8 | yes | 52 | |
3.2 | odd | 2 | inner | 177.4.d.c.176.45 | yes | 52 | |
59.58 | odd | 2 | inner | 177.4.d.c.176.46 | yes | 52 | |
177.176 | even | 2 | inner | 177.4.d.c.176.7 | ✓ | 52 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.4.d.c.176.7 | ✓ | 52 | 177.176 | even | 2 | inner | |
177.4.d.c.176.8 | yes | 52 | 1.1 | even | 1 | trivial | |
177.4.d.c.176.45 | yes | 52 | 3.2 | odd | 2 | inner | |
177.4.d.c.176.46 | yes | 52 | 59.58 | odd | 2 | inner |