Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [108,4,Mod(11,108)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(108, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 13]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("108.11");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 108 = 2^{2} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 108.l (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.37220628062\) |
Analytic rank: | \(0\) |
Dimension: | \(312\) |
Relative dimension: | \(52\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 59.15 | ||
Character | \(\chi\) | \(=\) | 108.59 |
Dual form | 108.4.l.a.11.15 |
$q$-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 \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(55\) |
\(\chi(n)\) | \(e\left(\frac{5}{18}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.88377 | + | 2.10984i | −0.666012 | + | 0.745941i | ||||
\(3\) | −4.43306 | − | 2.71072i | −0.853143 | − | 0.521678i | ||||
\(4\) | −0.902841 | − | 7.94889i | −0.112855 | − | 0.993611i | ||||
\(5\) | 5.32629 | + | 14.6339i | 0.476398 | + | 1.30889i | 0.912530 | + | 0.409010i | \(0.134126\pi\) |
−0.436132 | + | 0.899883i | \(0.643652\pi\) | |||||||
\(6\) | 14.0700 | − | 4.24668i | 0.957344 | − | 0.288950i | ||||
\(7\) | 6.67869 | − | 1.17763i | 0.360616 | − | 0.0635863i | 0.00959492 | − | 0.999954i | \(-0.496946\pi\) |
0.351021 | + | 0.936368i | \(0.385835\pi\) | |||||||
\(8\) | 18.4716 | + | 13.0690i | 0.816338 | + | 0.577574i | ||||
\(9\) | 12.3040 | + | 24.0335i | 0.455704 | + | 0.890131i | ||||
\(10\) | −40.9086 | − | 16.3292i | −1.29364 | − | 0.516374i | ||||
\(11\) | −32.8435 | − | 11.9540i | −0.900243 | − | 0.327662i | −0.149893 | − | 0.988702i | \(-0.547893\pi\) |
−0.750350 | + | 0.661041i | \(0.770115\pi\) | |||||||
\(12\) | −17.5449 | + | 37.6853i | −0.422064 | + | 0.906566i | ||||
\(13\) | −58.0957 | − | 48.7481i | −1.23945 | − | 1.04002i | −0.997567 | − | 0.0697169i | \(-0.977790\pi\) |
−0.241883 | − | 0.970305i | \(-0.577765\pi\) | |||||||
\(14\) | −10.0965 | + | 16.3094i | −0.192743 | + | 0.311347i | ||||
\(15\) | 16.0565 | − | 79.3109i | 0.276385 | − | 1.36520i | ||||
\(16\) | −62.3698 | + | 14.3532i | −0.974527 | + | 0.224268i | ||||
\(17\) | −26.5003 | − | 15.3000i | −0.378075 | − | 0.218282i | 0.298905 | − | 0.954283i | \(-0.403378\pi\) |
−0.676980 | + | 0.736001i | \(0.736712\pi\) | |||||||
\(18\) | −73.8848 | − | 19.3141i | −0.967490 | − | 0.252910i | ||||
\(19\) | −47.8487 | + | 27.6255i | −0.577750 | + | 0.333564i | −0.760239 | − | 0.649644i | \(-0.774918\pi\) |
0.182489 | + | 0.983208i | \(0.441585\pi\) | |||||||
\(20\) | 111.514 | − | 55.5502i | 1.24677 | − | 0.621070i | ||||
\(21\) | −32.7993 | − | 12.8835i | −0.340828 | − | 0.133877i | ||||
\(22\) | 87.0905 | − | 46.7758i | 0.843989 | − | 0.453301i | ||||
\(23\) | −16.2062 | + | 91.9101i | −0.146923 | + | 0.833243i | 0.818880 | + | 0.573965i | \(0.194596\pi\) |
−0.965803 | + | 0.259277i | \(0.916516\pi\) | |||||||
\(24\) | −46.4594 | − | 108.007i | −0.395145 | − | 0.918619i | ||||
\(25\) | −90.0251 | + | 75.5401i | −0.720201 | + | 0.604320i | ||||
\(26\) | 212.289 | − | 30.7425i | 1.60128 | − | 0.231889i | ||||
\(27\) | 10.6037 | − | 139.895i | 0.0755809 | − | 0.997140i | ||||
\(28\) | −15.3907 | − | 52.0250i | −0.103877 | − | 0.351136i | ||||
\(29\) | −146.505 | − | 174.598i | −0.938115 | − | 1.11800i | −0.992834 | − | 0.119501i | \(-0.961871\pi\) |
0.0547186 | − | 0.998502i | \(-0.482574\pi\) | |||||||
\(30\) | 137.086 | + | 183.280i | 0.834281 | + | 1.11541i | ||||
\(31\) | −134.207 | − | 23.6644i | −0.777560 | − | 0.137105i | −0.229236 | − | 0.973371i | \(-0.573623\pi\) |
−0.548324 | + | 0.836266i | \(0.684734\pi\) | |||||||
\(32\) | 87.2072 | − | 158.628i | 0.481756 | − | 0.876305i | ||||
\(33\) | 113.193 | + | 142.022i | 0.597102 | + | 0.749179i | ||||
\(34\) | 82.2009 | − | 27.0898i | 0.414628 | − | 0.136643i | ||||
\(35\) | 52.8060 | + | 91.4627i | 0.255024 | + | 0.441715i | ||||
\(36\) | 179.931 | − | 119.502i | 0.833016 | − | 0.553249i | ||||
\(37\) | −109.255 | + | 189.235i | −0.485442 | + | 0.840810i | −0.999860 | − | 0.0167296i | \(-0.994675\pi\) |
0.514418 | + | 0.857539i | \(0.328008\pi\) | |||||||
\(38\) | 31.8506 | − | 152.993i | 0.135970 | − | 0.653125i | ||||
\(39\) | 125.399 | + | 373.584i | 0.514871 | + | 1.53388i | ||||
\(40\) | −92.8649 | + | 339.921i | −0.367081 | + | 1.34365i | ||||
\(41\) | 42.2042 | − | 50.2970i | 0.160761 | − | 0.191587i | −0.679651 | − | 0.733536i | \(-0.737869\pi\) |
0.840412 | + | 0.541948i | \(0.182313\pi\) | |||||||
\(42\) | 88.9684 | − | 44.9316i | 0.326860 | − | 0.165074i | ||||
\(43\) | 37.6216 | − | 103.364i | 0.133424 | − | 0.366580i | −0.854932 | − | 0.518741i | \(-0.826401\pi\) |
0.988356 | + | 0.152161i | \(0.0486232\pi\) | |||||||
\(44\) | −65.3689 | + | 271.862i | −0.223971 | + | 0.931470i | ||||
\(45\) | −286.169 | + | 308.065i | −0.947990 | + | 1.02053i | ||||
\(46\) | −163.387 | − | 207.330i | −0.523697 | − | 0.664546i | ||||
\(47\) | −1.93936 | − | 10.9987i | −0.00601883 | − | 0.0341345i | 0.981650 | − | 0.190689i | \(-0.0610723\pi\) |
−0.987669 | + | 0.156555i | \(0.949961\pi\) | |||||||
\(48\) | 315.396 | + | 105.438i | 0.948407 | + | 0.317057i | ||||
\(49\) | −279.096 | + | 101.583i | −0.813692 | + | 0.296160i | ||||
\(50\) | 10.2091 | − | 332.238i | 0.0288756 | − | 0.939712i | ||||
\(51\) | 76.0036 | + | 139.661i | 0.208679 | + | 0.383459i | ||||
\(52\) | −335.042 | + | 505.808i | −0.893500 | + | 1.34890i | ||||
\(53\) | 586.118i | 1.51905i | 0.650480 | + | 0.759523i | \(0.274568\pi\) | ||||
−0.650480 | + | 0.759523i | \(0.725432\pi\) | |||||||
\(54\) | 275.181 | + | 285.901i | 0.693469 | + | 0.720486i | ||||
\(55\) | − | 544.297i | − | 1.33442i | ||||||
\(56\) | 138.757 | + | 65.5311i | 0.331110 | + | 0.156374i | ||||
\(57\) | 287.001 | + | 7.23904i | 0.666916 | + | 0.0168216i | ||||
\(58\) | 644.356 | + | 19.7998i | 1.45876 | + | 0.0448249i | ||||
\(59\) | 380.315 | − | 138.423i | 0.839201 | − | 0.305444i | 0.113571 | − | 0.993530i | \(-0.463771\pi\) |
0.725629 | + | 0.688086i | \(0.241549\pi\) | |||||||
\(60\) | −644.930 | − | 56.0264i | −1.38767 | − | 0.120550i | ||||
\(61\) | −122.599 | − | 695.294i | −0.257331 | − | 1.45940i | −0.790017 | − | 0.613085i | \(-0.789928\pi\) |
0.532686 | − | 0.846313i | \(-0.321183\pi\) | |||||||
\(62\) | 302.744 | − | 238.578i | 0.620137 | − | 0.488700i | ||||
\(63\) | 110.477 | + | 146.023i | 0.220934 | + | 0.292019i | ||||
\(64\) | 170.402 | + | 482.812i | 0.332816 | + | 0.942992i | ||||
\(65\) | 403.938 | − | 1109.81i | 0.770806 | − | 2.11777i | ||||
\(66\) | −512.873 | − | 28.7181i | −0.956520 | − | 0.0535599i | ||||
\(67\) | 518.451 | − | 617.866i | 0.945357 | − | 1.12663i | −0.0464546 | − | 0.998920i | \(-0.514792\pi\) |
0.991811 | − | 0.127712i | \(-0.0407633\pi\) | |||||||
\(68\) | −97.6922 | + | 224.462i | −0.174219 | + | 0.400294i | ||||
\(69\) | 320.985 | − | 363.512i | 0.560031 | − | 0.634228i | ||||
\(70\) | −292.446 | − | 60.8823i | −0.499342 | − | 0.103955i | ||||
\(71\) | −526.234 | + | 911.464i | −0.879612 | + | 1.52353i | −0.0278451 | + | 0.999612i | \(0.508865\pi\) |
−0.851767 | + | 0.523921i | \(0.824469\pi\) | |||||||
\(72\) | −86.8195 | + | 604.740i | −0.142108 | + | 0.989851i | ||||
\(73\) | 335.741 | + | 581.520i | 0.538294 | + | 0.932353i | 0.998996 | + | 0.0447982i | \(0.0142645\pi\) |
−0.460702 | + | 0.887555i | \(0.652402\pi\) | |||||||
\(74\) | −193.444 | − | 586.983i | −0.303884 | − | 0.922101i | ||||
\(75\) | 603.855 | − | 90.8408i | 0.929695 | − | 0.139859i | ||||
\(76\) | 262.792 | + | 355.403i | 0.396635 | + | 0.536415i | ||||
\(77\) | −233.429 | − | 41.1598i | −0.345476 | − | 0.0609168i | ||||
\(78\) | −1024.43 | − | 439.173i | −1.48709 | − | 0.637520i | ||||
\(79\) | −715.214 | − | 852.358i | −1.01858 | − | 1.21390i | −0.976664 | − | 0.214775i | \(-0.931098\pi\) |
−0.0419165 | − | 0.999121i | \(-0.513346\pi\) | |||||||
\(80\) | −542.242 | − | 836.262i | −0.757806 | − | 1.16871i | ||||
\(81\) | −426.222 | + | 591.418i | −0.584667 | + | 0.811273i | ||||
\(82\) | 26.6157 | + | 183.792i | 0.0358440 | + | 0.247517i | ||||
\(83\) | −539.813 | + | 452.957i | −0.713881 | + | 0.599017i | −0.925685 | − | 0.378295i | \(-0.876511\pi\) |
0.211804 | + | 0.977312i | \(0.432066\pi\) | |||||||
\(84\) | −72.7973 | + | 272.350i | −0.0945576 | + | 0.353759i | ||||
\(85\) | 82.7493 | − | 469.294i | 0.105593 | − | 0.598849i | ||||
\(86\) | 147.212 | + | 274.090i | 0.184585 | + | 0.343673i | ||||
\(87\) | 176.180 | + | 1171.14i | 0.217109 | + | 1.44321i | ||||
\(88\) | −450.444 | − | 650.042i | −0.545654 | − | 0.787440i | ||||
\(89\) | 731.282 | − | 422.206i | 0.870963 | − | 0.502851i | 0.00329517 | − | 0.999995i | \(-0.498951\pi\) |
0.867668 | + | 0.497144i | \(0.165618\pi\) | |||||||
\(90\) | −110.892 | − | 1184.09i | −0.129878 | − | 1.38683i | ||||
\(91\) | −445.411 | − | 257.158i | −0.513096 | − | 0.296236i | ||||
\(92\) | 745.215 | + | 45.8414i | 0.844500 | + | 0.0519488i | ||||
\(93\) | 530.802 | + | 468.704i | 0.591845 | + | 0.522606i | ||||
\(94\) | 26.8587 | + | 16.6272i | 0.0294709 | + | 0.0182443i | ||||
\(95\) | −659.124 | − | 553.070i | −0.711839 | − | 0.597303i | ||||
\(96\) | −816.591 | + | 466.814i | −0.868156 | + | 0.496292i | ||||
\(97\) | 930.497 | + | 338.673i | 0.973996 | + | 0.354506i | 0.779503 | − | 0.626398i | \(-0.215472\pi\) |
0.194493 | + | 0.980904i | \(0.437694\pi\) | |||||||
\(98\) | 311.429 | − | 780.207i | 0.321011 | − | 0.804212i | ||||
\(99\) | −116.809 | − | 936.427i | −0.118583 | − | 0.950651i | ||||
\(100\) | 681.738 | + | 647.399i | 0.681738 | + | 0.647399i | ||||
\(101\) | −573.995 | + | 101.211i | −0.565491 | + | 0.0997113i | −0.449083 | − | 0.893490i | \(-0.648249\pi\) |
−0.116408 | + | 0.993201i | \(0.537138\pi\) | |||||||
\(102\) | −437.835 | − | 102.733i | −0.425020 | − | 0.0997260i | ||||
\(103\) | 586.536 | + | 1611.50i | 0.561099 | + | 1.54161i | 0.818030 | + | 0.575176i | \(0.195066\pi\) |
−0.256931 | + | 0.966430i | \(0.582711\pi\) | |||||||
\(104\) | −436.033 | − | 1659.71i | −0.411120 | − | 1.56488i | ||||
\(105\) | 13.8374 | − | 548.602i | 0.0128609 | − | 0.509886i | ||||
\(106\) | −1236.61 | − | 1104.11i | −1.13312 | − | 1.01170i | ||||
\(107\) | −1431.94 | −1.29375 | −0.646873 | − | 0.762597i | \(-0.723924\pi\) | ||||
−0.646873 | + | 0.762597i | \(0.723924\pi\) | |||||||
\(108\) | −1121.58 | + | 42.0150i | −0.999299 | + | 0.0374342i | ||||
\(109\) | 882.024 | 0.775069 | 0.387535 | − | 0.921855i | \(-0.373327\pi\) | ||||
0.387535 | + | 0.921855i | \(0.373327\pi\) | |||||||
\(110\) | 1148.38 | + | 1025.33i | 0.995398 | + | 0.888740i | ||||
\(111\) | 997.293 | − | 542.729i | 0.852783 | − | 0.464086i | ||||
\(112\) | −399.646 | + | 169.309i | −0.337169 | + | 0.142841i | ||||
\(113\) | 213.857 | + | 587.567i | 0.178035 | + | 0.489147i | 0.996324 | − | 0.0856592i | \(-0.0272996\pi\) |
−0.818290 | + | 0.574806i | \(0.805077\pi\) | |||||||
\(114\) | −555.916 | + | 591.889i | −0.456722 | + | 0.486276i | ||||
\(115\) | −1431.32 | + | 252.380i | −1.16062 | + | 0.204648i | ||||
\(116\) | −1255.59 | + | 1322.19i | −1.00499 | + | 1.05829i | ||||
\(117\) | 456.779 | − | 1996.04i | 0.360933 | − | 1.57722i | ||||
\(118\) | −424.374 | + | 1063.16i | −0.331075 | + | 0.829424i | ||||
\(119\) | −195.005 | − | 70.9762i | −0.150219 | − | 0.0546754i | ||||
\(120\) | 1333.10 | − | 1255.16i | 1.01413 | − | 0.954831i | ||||
\(121\) | −83.8119 | − | 70.3265i | −0.0629691 | − | 0.0528374i | ||||
\(122\) | 1697.91 | + | 1051.11i | 1.26001 | + | 0.780023i | ||||
\(123\) | −323.435 | + | 108.566i | −0.237099 | + | 0.0795858i | ||||
\(124\) | −66.9377 | + | 1088.17i | −0.0484773 | + | 0.788066i | ||||
\(125\) | 100.887 | + | 58.2473i | 0.0721890 | + | 0.0416783i | ||||
\(126\) | −516.199 | − | 41.9837i | −0.364974 | − | 0.0296842i | ||||
\(127\) | 1599.10 | − | 923.243i | 1.11730 | − | 0.645076i | 0.176592 | − | 0.984284i | \(-0.443493\pi\) |
0.940711 | + | 0.339209i | \(0.110159\pi\) | |||||||
\(128\) | −1339.65 | − | 549.985i | −0.925076 | − | 0.379783i | ||||
\(129\) | −446.970 | + | 356.239i | −0.305066 | + | 0.243140i | ||||
\(130\) | 1580.60 | + | 2942.87i | 1.06637 | + | 1.98544i | ||||
\(131\) | −357.341 | + | 2026.58i | −0.238328 | + | 1.35163i | 0.597161 | + | 0.802121i | \(0.296295\pi\) |
−0.835489 | + | 0.549506i | \(0.814816\pi\) | |||||||
\(132\) | 1026.72 | − | 1027.98i | 0.677007 | − | 0.677836i | ||||
\(133\) | −287.034 | + | 240.850i | −0.187136 | + | 0.157025i | ||||
\(134\) | 326.957 | + | 2257.76i | 0.210782 | + | 1.45553i | ||||
\(135\) | 2103.68 | − | 589.947i | 1.34116 | − | 0.376108i | ||||
\(136\) | −289.549 | − | 628.949i | −0.182563 | − | 0.396558i | ||||
\(137\) | 322.995 | + | 384.930i | 0.201426 | + | 0.240050i | 0.857296 | − | 0.514824i | \(-0.172143\pi\) |
−0.655870 | + | 0.754874i | \(0.727698\pi\) | |||||||
\(138\) | 162.290 | + | 1362.00i | 0.100109 | + | 0.840153i | ||||
\(139\) | −1208.49 | − | 213.089i | −0.737429 | − | 0.130029i | −0.207696 | − | 0.978193i | \(-0.566597\pi\) |
−0.529732 | + | 0.848165i | \(0.677708\pi\) | |||||||
\(140\) | 679.352 | − | 502.326i | 0.410112 | − | 0.303245i | ||||
\(141\) | −21.2170 | + | 54.0148i | −0.0126723 | + | 0.0322615i | ||||
\(142\) | −931.740 | − | 2827.25i | −0.550633 | − | 1.67083i | ||||
\(143\) | 1325.33 | + | 2295.53i | 0.775031 | + | 1.34239i | ||||
\(144\) | −1112.36 | − | 1322.36i | −0.643725 | − | 0.765257i | ||||
\(145\) | 1774.72 | − | 3073.90i | 1.01643 | − | 1.76051i | ||||
\(146\) | −1859.37 | − | 387.090i | −1.05399 | − | 0.219423i | ||||
\(147\) | 1512.61 | + | 306.229i | 0.848695 | + | 0.171819i | ||||
\(148\) | 1602.84 | + | 697.604i | 0.890223 | + | 0.387451i | ||||
\(149\) | −2156.66 | + | 2570.21i | −1.18577 | + | 1.41315i | −0.296957 | + | 0.954891i | \(0.595972\pi\) |
−0.888818 | + | 0.458261i | \(0.848473\pi\) | |||||||
\(150\) | −945.862 | + | 1445.16i | −0.514862 | + | 0.786645i | ||||
\(151\) | 93.1146 | − | 255.830i | 0.0501825 | − | 0.137875i | −0.912069 | − | 0.410036i | \(-0.865516\pi\) |
0.962252 | + | 0.272161i | \(0.0877383\pi\) | |||||||
\(152\) | −1244.88 | − | 115.048i | −0.664297 | − | 0.0613924i | ||||
\(153\) | 41.6520 | − | 825.148i | 0.0220089 | − | 0.436008i | ||||
\(154\) | 526.566 | − | 414.962i | 0.275532 | − | 0.217134i | ||||
\(155\) | −368.527 | − | 2090.02i | −0.190973 | − | 1.08306i | ||||
\(156\) | 2856.37 | − | 1334.07i | 1.46598 | − | 0.684688i | ||||
\(157\) | −1467.70 | + | 534.198i | −0.746083 | + | 0.271552i | −0.686957 | − | 0.726698i | \(-0.741054\pi\) |
−0.0591266 | + | 0.998250i | \(0.518832\pi\) | |||||||
\(158\) | 3145.64 | + | 96.6594i | 1.58388 | + | 0.0486697i | ||||
\(159\) | 1588.80 | − | 2598.29i | 0.792453 | − | 1.29596i | ||||
\(160\) | 2785.83 | + | 431.279i | 1.37650 | + | 0.213098i | ||||
\(161\) | 632.924i | 0.309823i | ||||||||
\(162\) | −444.894 | − | 2013.35i | −0.215766 | − | 0.976445i | ||||
\(163\) | − | 1678.84i | − | 0.806728i | −0.915040 | − | 0.403364i | \(-0.867841\pi\) | ||
0.915040 | − | 0.403364i | \(-0.132159\pi\) | |||||||
\(164\) | −437.909 | − | 290.066i | −0.208506 | − | 0.138112i | ||||
\(165\) | −1475.44 | + | 2412.90i | −0.696137 | + | 1.13845i | ||||
\(166\) | 61.2160 | − | 1992.18i | 0.0286222 | − | 0.931466i | ||||
\(167\) | 3281.94 | − | 1194.53i | 1.52075 | − | 0.553506i | 0.559411 | − | 0.828891i | \(-0.311027\pi\) |
0.961334 | + | 0.275385i | \(0.0888052\pi\) | |||||||
\(168\) | −437.481 | − | 666.634i | −0.200907 | − | 0.306142i | ||||
\(169\) | 617.231 | + | 3500.49i | 0.280942 | + | 1.59330i | ||||
\(170\) | 834.255 | + | 1058.63i | 0.376379 | + | 0.477607i | ||||
\(171\) | −1252.67 | − | 810.070i | −0.560199 | − | 0.362267i | ||||
\(172\) | −855.599 | − | 205.728i | −0.379295 | − | 0.0912013i | ||||
\(173\) | 5.00323 | − | 13.7463i | 0.00219878 | − | 0.00604110i | −0.938588 | − | 0.345039i | \(-0.887866\pi\) |
0.940787 | + | 0.338998i | \(0.110088\pi\) | |||||||
\(174\) | −2802.80 | − | 1834.44i | −1.22115 | − | 0.799245i | ||||
\(175\) | −512.292 | + | 610.526i | −0.221289 | + | 0.263722i | ||||
\(176\) | 2220.02 | + | 274.163i | 0.950796 | + | 0.117419i | ||||
\(177\) | −2061.19 | − | 417.288i | −0.875301 | − | 0.177205i | ||||
\(178\) | −486.779 | + | 2338.23i | −0.204975 | + | 0.984592i | ||||
\(179\) | −35.3362 | + | 61.2040i | −0.0147550 | + | 0.0255564i | −0.873309 | − | 0.487167i | \(-0.838030\pi\) |
0.858554 | + | 0.512724i | \(0.171364\pi\) | |||||||
\(180\) | 2707.14 | + | 1996.59i | 1.12099 | + | 0.826762i | ||||
\(181\) | −1215.52 | − | 2105.34i | −0.499164 | − | 0.864578i | 0.500835 | − | 0.865543i | \(-0.333026\pi\) |
−1.00000 | 0.000964503i | \(0.999693\pi\) | ||||||||
\(182\) | 1381.61 | − | 455.319i | 0.562703 | − | 0.185442i | ||||
\(183\) | −1341.26 | + | 3414.61i | −0.541796 | + | 1.37932i | ||||
\(184\) | −1500.53 | + | 1485.93i | −0.601198 | + | 0.595349i | ||||
\(185\) | −3351.15 | − | 590.899i | −1.33179 | − | 0.234831i | ||||
\(186\) | −1988.80 | + | 236.977i | −0.784009 | + | 0.0934194i | ||||
\(187\) | 687.466 | + | 819.290i | 0.268837 | + | 0.320387i | ||||
\(188\) | −85.6763 | + | 25.3458i | −0.0332371 | + | 0.00983263i | ||||
\(189\) | −93.9260 | − | 946.802i | −0.0361487 | − | 0.364390i | ||||
\(190\) | 2408.53 | − | 348.789i | 0.919646 | − | 0.133178i | ||||
\(191\) | −537.090 | + | 450.672i | −0.203468 | + | 0.170730i | −0.738828 | − | 0.673894i | \(-0.764620\pi\) |
0.535360 | + | 0.844624i | \(0.320176\pi\) | |||||||
\(192\) | 553.365 | − | 2602.24i | 0.207998 | − | 0.978129i | ||||
\(193\) | −241.240 | + | 1368.14i | −0.0899733 | + | 0.510264i | 0.906199 | + | 0.422852i | \(0.138971\pi\) |
−0.996172 | + | 0.0874122i | \(0.972140\pi\) | |||||||
\(194\) | −2467.39 | + | 1325.22i | −0.913134 | + | 0.490438i | ||||
\(195\) | −4799.07 | + | 3824.90i | −1.76240 | + | 1.40465i | ||||
\(196\) | 1059.45 | + | 2126.79i | 0.386097 | + | 0.775071i | ||||
\(197\) | 1367.09 | − | 789.290i | 0.494422 | − | 0.285455i | −0.231985 | − | 0.972719i | \(-0.574522\pi\) |
0.726407 | + | 0.687265i | \(0.241189\pi\) | |||||||
\(198\) | 2195.75 | + | 1517.56i | 0.788107 | + | 0.544690i | ||||
\(199\) | 998.953 | + | 576.745i | 0.355849 | + | 0.205449i | 0.667258 | − | 0.744827i | \(-0.267468\pi\) |
−0.311410 | + | 0.950276i | \(0.600801\pi\) | |||||||
\(200\) | −2650.14 | + | 218.808i | −0.936968 | + | 0.0773603i | ||||
\(201\) | −3973.19 | + | 1333.66i | −1.39426 | + | 0.468006i | ||||
\(202\) | 867.734 | − | 1401.69i | 0.302245 | − | 0.488232i | ||||
\(203\) | −1184.08 | − | 993.558i | −0.409389 | − | 0.343518i | ||||
\(204\) | 1041.53 | − | 730.236i | 0.357458 | − | 0.250621i | ||||
\(205\) | 960.832 | + | 349.714i | 0.327353 | + | 0.119147i | ||||
\(206\) | −4504.89 | − | 1798.19i | −1.52364 | − | 0.608182i | ||||
\(207\) | −2408.33 | + | 741.370i | −0.808649 | + | 0.248931i | ||||
\(208\) | 4323.11 | + | 2206.55i | 1.44112 | + | 0.735561i | ||||
\(209\) | 1901.75 | − | 335.330i | 0.629411 | − | 0.110982i | ||||
\(210\) | 1131.39 | + | 1062.63i | 0.371779 | + | 0.349184i | ||||
\(211\) | −254.847 | − | 700.186i | −0.0831487 | − | 0.228449i | 0.891150 | − | 0.453709i | \(-0.149899\pi\) |
−0.974299 | + | 0.225259i | \(0.927677\pi\) | |||||||
\(212\) | 4658.99 | − | 529.171i | 1.50934 | − | 0.171432i | ||||
\(213\) | 4803.55 | − | 2614.10i | 1.54523 | − | 0.840917i | ||||
\(214\) | 2697.44 | − | 3021.16i | 0.861651 | − | 0.965059i | ||||
\(215\) | 1713.00 | 0.543376 | ||||||||
\(216\) | 2024.16 | − | 2445.50i | 0.637622 | − | 0.770350i | ||||
\(217\) | −924.199 | −0.289118 | ||||||||
\(218\) | −1661.53 | + | 1860.93i | −0.516206 | + | 0.578156i | ||||
\(219\) | 87.9782 | − | 3488.01i | 0.0271462 | − | 1.07625i | ||||
\(220\) | −4326.56 | + | 491.414i | −1.32589 | + | 0.150596i | ||||
\(221\) | 793.711 | + | 2180.70i | 0.241587 | + | 0.663756i | ||||
\(222\) | −733.597 | + | 3126.50i | −0.221783 | + | 0.945213i | ||||
\(223\) | −3008.22 | + | 530.430i | −0.903341 | + | 0.159283i | −0.605978 | − | 0.795481i | \(-0.707218\pi\) |
−0.297363 | + | 0.954765i | \(0.596107\pi\) | |||||||
\(224\) | 395.625 | − | 1162.13i | 0.118008 | − | 0.346642i | ||||
\(225\) | −2923.17 | − | 1234.18i | −0.866123 | − | 0.365682i | ||||
\(226\) | −1642.53 | − | 655.636i | −0.483448 | − | 0.192974i | ||||
\(227\) | −3778.36 | − | 1375.21i | −1.10475 | − | 0.402097i | −0.275687 | − | 0.961248i | \(-0.588905\pi\) |
−0.829066 | + | 0.559150i | \(0.811127\pi\) | |||||||
\(228\) | −201.574 | − | 2287.88i | −0.0585507 | − | 0.664554i | ||||
\(229\) | −644.605 | − | 540.888i | −0.186012 | − | 0.156082i | 0.545027 | − | 0.838419i | \(-0.316520\pi\) |
−0.731038 | + | 0.682336i | \(0.760964\pi\) | |||||||
\(230\) | 2163.79 | − | 3495.28i | 0.620331 | − | 1.00205i | ||||
\(231\) | 923.231 | + | 815.224i | 0.262962 | + | 0.232198i | ||||
\(232\) | −424.364 | − | 5139.79i | −0.120090 | − | 1.45450i | ||||
\(233\) | −417.335 | − | 240.949i | −0.117341 | − | 0.0677471i | 0.440181 | − | 0.897909i | \(-0.354914\pi\) |
−0.557522 | + | 0.830162i | \(0.688248\pi\) | |||||||
\(234\) | 3350.87 | + | 4723.81i | 0.936124 | + | 1.31968i | ||||
\(235\) | 150.623 | − | 86.9625i | 0.0418110 | − | 0.0241396i | ||||
\(236\) | −1443.68 | − | 2898.11i | −0.398201 | − | 0.799369i | ||||
\(237\) | 860.081 | + | 5717.30i | 0.235731 | + | 1.56700i | ||||
\(238\) | 517.093 | − | 277.727i | 0.140833 | − | 0.0756403i | ||||
\(239\) | 424.347 | − | 2406.59i | 0.114848 | − | 0.651336i | −0.871977 | − | 0.489546i | \(-0.837162\pi\) |
0.986825 | − | 0.161789i | \(-0.0517265\pi\) | |||||||
\(240\) | 136.921 | + | 5177.06i | 0.0368260 | + | 1.39241i | ||||
\(241\) | −85.1216 | + | 71.4255i | −0.0227517 | + | 0.0190910i | −0.654093 | − | 0.756414i | \(-0.726949\pi\) |
0.631341 | + | 0.775505i | \(0.282505\pi\) | |||||||
\(242\) | 306.260 | − | 44.3508i | 0.0813517 | − | 0.0117809i | ||||
\(243\) | 3492.64 | − | 1466.42i | 0.922028 | − | 0.387124i | ||||
\(244\) | −5416.13 | + | 1602.27i | −1.42103 | + | 0.420388i | ||||
\(245\) | −2973.10 | − | 3543.20i | −0.775283 | − | 0.923946i | ||||
\(246\) | 380.219 | − | 886.908i | 0.0985443 | − | 0.229867i | ||||
\(247\) | 4126.49 | + | 727.612i | 1.06301 | + | 0.187437i | ||||
\(248\) | −2169.76 | − | 2191.08i | −0.555564 | − | 0.561023i | ||||
\(249\) | 3620.86 | − | 544.704i | 0.921537 | − | 0.138631i | ||||
\(250\) | −312.940 | + | 103.131i | −0.0791683 | + | 0.0260904i | ||||
\(251\) | −1365.63 | − | 2365.35i | −0.343419 | − | 0.594818i | 0.641647 | − | 0.767000i | \(-0.278252\pi\) |
−0.985065 | + | 0.172182i | \(0.944918\pi\) | |||||||
\(252\) | 1060.98 | − | 1010.01i | 0.265220 | − | 0.252479i | ||||
\(253\) | 1630.97 | − | 2824.91i | 0.405288 | − | 0.701980i | ||||
\(254\) | −1064.45 | + | 5113.03i | −0.262950 | + | 1.26307i | ||||
\(255\) | −1638.96 | + | 1856.10i | −0.402492 | + | 0.455818i | ||||
\(256\) | 3683.97 | − | 1790.41i | 0.899407 | − | 0.437111i | ||||
\(257\) | 1602.85 | − | 1910.20i | 0.389039 | − | 0.463638i | −0.535607 | − | 0.844468i | \(-0.679917\pi\) |
0.924645 | + | 0.380829i | \(0.124361\pi\) | |||||||
\(258\) | 90.3812 | − | 1614.11i | 0.0218096 | − | 0.389496i | ||||
\(259\) | −506.829 | + | 1392.50i | −0.121594 | + | 0.334077i | ||||
\(260\) | −9186.46 | − | 2208.88i | −2.19123 | − | 0.526880i | ||||
\(261\) | 2393.61 | − | 5669.30i | 0.567666 | − | 1.34452i | ||||
\(262\) | −3602.61 | − | 4571.54i | −0.849505 | − | 1.07798i | ||||
\(263\) | 230.354 | + | 1306.40i | 0.0540085 | + | 0.306297i | 0.999831 | − | 0.0183870i | \(-0.00585309\pi\) |
−0.945822 | + | 0.324684i | \(0.894742\pi\) | |||||||
\(264\) | 234.766 | + | 4102.70i | 0.0547305 | + | 0.956454i | ||||
\(265\) | −8577.17 | + | 3121.83i | −1.98827 | + | 0.723671i | ||||
\(266\) | 32.5503 | − | 1059.30i | 0.00750297 | − | 0.244173i | ||||
\(267\) | −4386.30 | − | 110.636i | −1.00538 | − | 0.0253588i | ||||
\(268\) | −5379.43 | − | 3563.28i | −1.22612 | − | 0.812171i | ||||
\(269\) | 2225.09i | 0.504335i | 0.967684 | + | 0.252167i | \(0.0811434\pi\) | ||||
−0.967684 | + | 0.252167i | \(0.918857\pi\) | |||||||
\(270\) | −2718.15 | + | 5549.75i | −0.612672 | + | 1.25092i | ||||
\(271\) | 5006.76i | 1.12228i | 0.827719 | + | 0.561142i | \(0.189638\pi\) | ||||
−0.827719 | + | 0.561142i | \(0.810362\pi\) | |||||||
\(272\) | 1872.42 | + | 573.892i | 0.417398 | + | 0.127931i | ||||
\(273\) | 1277.45 | + | 2347.38i | 0.283204 | + | 0.520403i | ||||
\(274\) | −1420.59 | − | 43.6520i | −0.313215 | − | 0.00962449i | ||||
\(275\) | 3859.75 | − | 1404.83i | 0.846369 | − | 0.308053i | ||||
\(276\) | −3179.32 | − | 2223.28i | −0.693379 | − | 0.484877i | ||||
\(277\) | 1060.40 | + | 6013.83i | 0.230012 | + | 1.30446i | 0.852868 | + | 0.522127i | \(0.174861\pi\) |
−0.622856 | + | 0.782337i | \(0.714028\pi\) | |||||||
\(278\) | 2726.09 | − | 2148.30i | 0.588130 | − | 0.463478i | ||||
\(279\) | −1082.55 | − | 3516.65i | −0.232296 | − | 0.754610i | ||||
\(280\) | −219.914 | + | 2379.59i | −0.0469371 | + | 0.507884i | ||||
\(281\) | 1718.46 | − | 4721.44i | 0.364822 | − | 1.00234i | −0.612480 | − | 0.790486i | \(-0.709828\pi\) |
0.977301 | − | 0.211853i | \(-0.0679499\pi\) | |||||||
\(282\) | −73.9947 | − | 146.516i | −0.0156252 | − | 0.0309393i | ||||
\(283\) | 2871.35 | − | 3421.94i | 0.603124 | − | 0.718775i | −0.374947 | − | 0.927046i | \(-0.622339\pi\) |
0.978071 | + | 0.208271i | \(0.0667837\pi\) | |||||||
\(284\) | 7720.23 | + | 3360.07i | 1.61307 | + | 0.702054i | ||||
\(285\) | 1422.72 | + | 4238.49i | 0.295700 | + | 0.880935i | ||||
\(286\) | −7339.82 | − | 1528.03i | −1.51753 | − | 0.315923i | ||||
\(287\) | 222.637 | − | 385.619i | 0.0457905 | − | 0.0793115i | ||||
\(288\) | 4885.40 | + | 144.135i | 0.999565 | + | 0.0294903i | ||||
\(289\) | −1988.32 | − | 3443.87i | −0.404706 | − | 0.700972i | ||||
\(290\) | 3142.28 | + | 9534.88i | 0.636279 | + | 1.93072i | ||||
\(291\) | −3206.90 | − | 4023.67i | −0.646020 | − | 0.810556i | ||||
\(292\) | 4319.32 | − | 3193.79i | 0.865648 | − | 0.640076i | ||||
\(293\) | 3564.63 | + | 628.540i | 0.710743 | + | 0.125323i | 0.517320 | − | 0.855792i | \(-0.326930\pi\) |
0.193423 | + | 0.981115i | \(0.438041\pi\) | |||||||
\(294\) | −3495.51 | + | 2614.51i | −0.693408 | + | 0.518643i | ||||
\(295\) | 4051.34 | + | 4828.20i | 0.799587 | + | 0.952911i | ||||
\(296\) | −4491.22 | + | 2067.62i | −0.881915 | + | 0.406006i | ||||
\(297\) | −2020.57 | + | 4467.87i | −0.394766 | + | 0.872903i | ||||
\(298\) | −1360.08 | − | 9391.88i | −0.264387 | − | 1.82569i | ||||
\(299\) | 5421.95 | − | 4549.56i | 1.04869 | − | 0.879959i | ||||
\(300\) | −1267.27 | − | 4717.96i | −0.243886 | − | 0.907972i | ||||
\(301\) | 129.537 | − | 734.644i | 0.0248054 | − | 0.140678i | ||||
\(302\) | 364.354 | + | 678.382i | 0.0694246 | + | 0.129260i | ||||
\(303\) | 2818.91 | + | 1107.26i | 0.534462 | + | 0.209936i | ||||
\(304\) | 2587.80 | − | 2409.77i | 0.488225 | − | 0.454638i | ||||
\(305\) | 9521.84 | − | 5497.44i | 1.78760 | − | 1.03207i | ||||
\(306\) | 1662.47 | + | 1642.27i | 0.310578 | + | 0.306804i | ||||
\(307\) | 5177.24 | + | 2989.08i | 0.962478 | + | 0.555687i | 0.896935 | − | 0.442163i | \(-0.145789\pi\) |
0.0655429 | + | 0.997850i | \(0.479122\pi\) | |||||||
\(308\) | −116.426 | + | 1892.66i | −0.0215389 | + | 0.350144i | ||||
\(309\) | 1768.16 | − | 8733.79i | 0.325524 | − | 1.60792i | ||||
\(310\) | 5103.82 | + | 3159.58i | 0.935088 | + | 0.578877i | ||||
\(311\) | −746.895 | − | 626.719i | −0.136182 | − | 0.114270i | 0.572152 | − | 0.820147i | \(-0.306109\pi\) |
−0.708334 | + | 0.705877i | \(0.750553\pi\) | |||||||
\(312\) | −2566.05 | + | 8539.55i | −0.465621 | + | 1.54954i | ||||
\(313\) | 3367.07 | + | 1225.51i | 0.608044 | + | 0.221310i | 0.627647 | − | 0.778498i | \(-0.284018\pi\) |
−0.0196031 | + | 0.999808i | \(0.506240\pi\) | |||||||
\(314\) | 1637.73 | − | 4102.91i | 0.294339 | − | 0.737391i | ||||
\(315\) | −1548.45 | + | 2394.47i | −0.276968 | + | 0.428296i | ||||
\(316\) | −6129.58 | + | 6454.70i | −1.09119 | + | 1.14907i | ||||
\(317\) | −904.759 | + | 159.533i | −0.160304 | + | 0.0282659i | −0.253224 | − | 0.967408i | \(-0.581491\pi\) |
0.0929202 | + | 0.995674i | \(0.470380\pi\) | |||||||
\(318\) | 2489.05 | + | 8246.69i | 0.438928 | + | 1.45425i | ||||
\(319\) | 2724.59 | + | 7485.74i | 0.478205 | + | 1.31386i | ||||
\(320\) | −6157.79 | + | 5065.23i | −1.07572 | + | 0.884860i | ||||
\(321\) | 6347.88 | + | 3881.59i | 1.10375 | + | 0.674919i | ||||
\(322\) | −1335.37 | − | 1192.28i | −0.231109 | − | 0.206346i | ||||
\(323\) | 1690.68 | 0.291244 | ||||||||
\(324\) | 5085.93 | + | 2854.04i | 0.872073 | + | 0.489375i | ||||
\(325\) | 8912.51 | 1.52116 | ||||||||
\(326\) | 3542.07 | + | 3162.54i | 0.601771 | + | 0.537291i | ||||
\(327\) | −3910.06 | − | 2390.92i | −0.661244 | − | 0.404336i | ||||
\(328\) | 1436.91 | − | 377.500i | 0.241891 | − | 0.0635487i | ||||
\(329\) | −25.9048 | − | 71.1729i | −0.00434097 | − | 0.0119267i | ||||
\(330\) | −2311.46 | − | 7658.28i | −0.385580 | − | 1.27750i | ||||
\(331\) | −4057.13 | + | 715.382i | −0.673716 | + | 0.118794i | −0.500032 | − | 0.866007i | \(-0.666678\pi\) |
−0.173684 | + | 0.984801i | \(0.555567\pi\) | |||||||
\(332\) | 4087.87 | + | 3881.96i | 0.675756 | + | 0.641718i | ||||
\(333\) | −5892.25 | − | 297.430i | −0.969649 | − | 0.0489461i | ||||
\(334\) | −3662.15 | + | 9174.59i | −0.599952 | + | 1.50303i | ||||
\(335\) | 11803.2 | + | 4296.01i | 1.92501 | + | 0.700645i | ||||
\(336\) | 2230.60 | + | 332.769i | 0.362171 | + | 0.0540299i | ||||
\(337\) | −8820.54 | − | 7401.32i | −1.42577 | − | 1.19637i | −0.948159 | − | 0.317797i | \(-0.897057\pi\) |
−0.477615 | − | 0.878569i | \(-0.658498\pi\) | |||||||
\(338\) | −8548.19 | − | 5291.85i | −1.37562 | − | 0.851594i | ||||
\(339\) | 644.688 | − | 3184.42i | 0.103288 | − | 0.510189i | ||||
\(340\) | −3805.08 | − | 234.067i | −0.606940 | − | 0.0373354i | ||||
\(341\) | 4124.95 | + | 2381.54i | 0.655069 | + | 0.378204i | ||||
\(342\) | 4068.85 | − | 1116.95i | 0.643329 | − | 0.176601i | ||||
\(343\) | −3758.86 | + | 2170.18i | −0.591718 | + | 0.341629i | ||||
\(344\) | 2045.80 | − | 1417.63i | 0.320646 | − | 0.222191i | ||||
\(345\) | 7029.25 | + | 2761.09i | 1.09693 | + | 0.430875i | ||||
\(346\) | 19.5775 | + | 36.4508i | 0.00304189 | + | 0.00566361i | ||||
\(347\) | −604.503 | + | 3428.31i | −0.0935200 | + | 0.530378i | 0.901671 | + | 0.432423i | \(0.142341\pi\) |
−0.995191 | + | 0.0979552i | \(0.968770\pi\) | |||||||
\(348\) | 9150.19 | − | 2457.79i | 1.40949 | − | 0.378596i | ||||
\(349\) | 3350.03 | − | 2811.01i | 0.513820 | − | 0.431146i | −0.348651 | − | 0.937253i | \(-0.613360\pi\) |
0.862471 | + | 0.506107i | \(0.168916\pi\) | |||||||
\(350\) | −323.072 | − | 2230.94i | −0.0493398 | − | 0.340711i | ||||
\(351\) | −7435.64 | + | 7610.38i | −1.13073 | + | 1.15730i | ||||
\(352\) | −4760.43 | + | 4167.42i | −0.720829 | + | 0.631034i | ||||
\(353\) | −5842.05 | − | 6962.29i | −0.880853 | − | 1.04976i | −0.998392 | − | 0.0566914i | \(-0.981945\pi\) |
0.117539 | − | 0.993068i | \(-0.462500\pi\) | |||||||
\(354\) | 4763.21 | − | 3562.70i | 0.715146 | − | 0.534902i | ||||
\(355\) | −16141.1 | − | 2846.11i | −2.41319 | − | 0.425510i | ||||
\(356\) | −4016.30 | − | 5431.70i | −0.597931 | − | 0.808650i | ||||
\(357\) | 672.074 | + | 843.246i | 0.0996356 | + | 0.125012i | ||||
\(358\) | −62.5655 | − | 189.848i | −0.00923657 | − | 0.0280273i | ||||
\(359\) | 370.159 | + | 641.134i | 0.0544185 | + | 0.0942555i | 0.891951 | − | 0.452131i | \(-0.149336\pi\) |
−0.837533 | + | 0.546387i | \(0.816003\pi\) | |||||||
\(360\) | −9312.11 | + | 1950.52i | −1.36331 | + | 0.285559i | ||||
\(361\) | −1903.17 | + | 3296.38i | −0.277470 | + | 0.480592i | ||||
\(362\) | 6731.68 | + | 1401.42i | 0.977374 | + | 0.203473i | ||||
\(363\) | 180.908 | + | 538.952i | 0.0261575 | + | 0.0779274i | ||||
\(364\) | −1641.99 | + | 3772.70i | −0.236438 | + | 0.543250i | ||||
\(365\) | −6721.64 | + | 8010.53i | −0.963908 | + | 1.14874i | ||||
\(366\) | −4677.66 | − | 9262.17i | −0.668048 | − | 1.32279i | ||||
\(367\) | 3325.12 | − | 9135.68i | 0.472942 | − | 1.29940i | −0.442436 | − | 0.896800i | \(-0.645885\pi\) |
0.915377 | − | 0.402597i | \(-0.131892\pi\) | |||||||
\(368\) | −308.423 | − | 5965.02i | −0.0436892 | − | 0.844968i | ||||
\(369\) | 1728.10 | + | 395.461i | 0.243797 | + | 0.0557910i | ||||
\(370\) | 7559.50 | − | 5957.28i | 1.06216 | − | 0.837039i | ||||
\(371\) | 690.232 | + | 3914.50i | 0.0965905 | + | 0.547792i | ||||
\(372\) | 3246.45 | − | 4642.45i | 0.452475 | − | 0.647043i | ||||
\(373\) | −3734.10 | + | 1359.10i | −0.518350 | + | 0.188664i | −0.587929 | − | 0.808913i | \(-0.700057\pi\) |
0.0695792 | + | 0.997576i | \(0.477834\pi\) | |||||||
\(374\) | −3023.60 | − | 92.9093i | −0.418039 | − | 0.0128455i | ||||
\(375\) | −289.347 | − | 531.690i | −0.0398448 | − | 0.0732170i | ||||
\(376\) | 107.919 | − | 228.509i | 0.0148018 | − | 0.0313416i | ||||
\(377\) | 17285.3i | 2.36137i | ||||||||
\(378\) | 2174.53 | + | 1585.39i | 0.295889 | + | 0.215723i | ||||
\(379\) | 1174.64i | 0.159201i | 0.996827 | + | 0.0796005i | \(0.0253645\pi\) | ||||
−0.996827 | + | 0.0796005i | \(0.974636\pi\) | |||||||
\(380\) | −3801.21 | + | 5738.64i | −0.513153 | + | 0.774700i | ||||
\(381\) | −9591.57 | − | 241.929i | −1.28974 | − | 0.0325312i | ||||
\(382\) | 60.9072 | − | 1982.13i | 0.00815781 | − | 0.265484i | ||||
\(383\) | −9864.85 | + | 3590.51i | −1.31611 | + | 0.479025i | −0.902210 | − | 0.431297i | \(-0.858056\pi\) |
−0.413900 | + | 0.910322i | \(0.635834\pi\) | |||||||
\(384\) | 4447.90 | + | 6069.53i | 0.591097 | + | 0.806601i | ||||
\(385\) | −640.983 | − | 3635.20i | −0.0848507 | − | 0.481212i | ||||
\(386\) | −2432.12 | − | 3086.24i | −0.320703 | − | 0.406957i | ||||
\(387\) | 2947.11 | − | 367.618i | 0.387106 | − | 0.0482870i | ||||
\(388\) | 1851.99 | − | 7702.19i | 0.242320 | − | 1.00778i | ||||
\(389\) | 1061.48 | − | 2916.40i | 0.138353 | − | 0.380122i | −0.851095 | − | 0.525012i | \(-0.824061\pi\) |
0.989448 | + | 0.144890i | \(0.0462830\pi\) | |||||||
\(390\) | 970.412 | − | 17330.5i | 0.125997 | − | 2.25016i | ||||
\(391\) | 1835.69 | − | 2187.69i | 0.237430 | − | 0.282958i | ||||
\(392\) | −6482.95 | − | 1771.12i | −0.835302 | − | 0.228201i | ||||
\(393\) | 7077.60 | − | 8015.30i | 0.908442 | − | 1.02880i | ||||
\(394\) | −910.005 | + | 4371.18i | −0.116359 | + | 0.558926i | ||||
\(395\) | 8663.86 | − | 15006.3i | 1.10361 | − | 1.91151i | ||||
\(396\) | −7338.10 | + | 1773.94i | −0.931195 | + | 0.225111i | ||||
\(397\) | 2861.86 | + | 4956.88i | 0.361795 | + | 0.626647i | 0.988256 | − | 0.152806i | \(-0.0488308\pi\) |
−0.626462 | + | 0.779452i | \(0.715498\pi\) | |||||||
\(398\) | −3098.63 | + | 1021.17i | −0.390253 | + | 0.128610i | ||||
\(399\) | 1925.32 | − | 289.635i | 0.241570 | − | 0.0363405i | ||||
\(400\) | 4530.61 | − | 6003.56i | 0.566326 | − | 0.750445i | ||||
\(401\) | −9152.93 | − | 1613.91i | −1.13984 | − | 0.200985i | −0.428304 | − | 0.903635i | \(-0.640889\pi\) |
−0.711536 | + | 0.702650i | \(0.752000\pi\) | |||||||
\(402\) | 4670.75 | − | 10895.1i | 0.579492 | − | 1.35174i | ||||
\(403\) | 6643.28 | + | 7917.16i | 0.821155 | + | 0.978615i | ||||
\(404\) | 1322.74 | + | 4471.24i | 0.162893 | + | 0.550625i | ||||
\(405\) | −10924.9 | − | 3087.21i | −1.34040 | − | 0.378777i | ||||
\(406\) | 4326.77 | − | 626.578i | 0.528902 | − | 0.0765925i | ||||
\(407\) | 5850.42 | − | 4909.08i | 0.712517 | − | 0.597873i | ||||
\(408\) | −421.316 | + | 3573.05i | −0.0511232 | + | 0.433560i | ||||
\(409\) | 804.334 | − | 4561.60i | 0.0972414 | − | 0.551484i | −0.896796 | − | 0.442444i | \(-0.854111\pi\) |
0.994037 | − | 0.109039i | \(-0.0347775\pi\) | |||||||
\(410\) | −2547.82 | + | 1368.42i | −0.306898 | + | 0.164833i | ||||
\(411\) | −388.418 | − | 2581.97i | −0.0466161 | − | 0.309876i | ||||
\(412\) | 12280.1 | − | 6117.24i | 1.46843 | − | 0.731492i | ||||
\(413\) | 2377.00 | − | 1372.36i | 0.283207 | − | 0.163510i | ||||
\(414\) | 2972.56 | − | 6477.75i | 0.352882 | − | 0.768995i | ||||
\(415\) | −9503.71 | − | 5486.97i | −1.12414 | − | 0.649023i | ||||
\(416\) | −12799.2 | + | 4964.43i | −1.50849 | + | 0.585099i | ||||
\(417\) | 4779.67 | + | 4220.51i | 0.561299 | + | 0.495633i | ||||
\(418\) | −2874.97 | + | 4644.08i | −0.336410 | + | 0.543419i | ||||
\(419\) | −697.466 | − | 585.244i | −0.0813209 | − | 0.0682364i | 0.601221 | − | 0.799083i | \(-0.294681\pi\) |
−0.682542 | + | 0.730846i | \(0.739126\pi\) | |||||||
\(420\) | −4373.27 | + | 385.308i | −0.508080 | + | 0.0447646i | ||||
\(421\) | 2322.92 | + | 845.472i | 0.268912 | + | 0.0978760i | 0.472957 | − | 0.881086i | \(-0.343187\pi\) |
−0.204045 | + | 0.978962i | \(0.565409\pi\) | |||||||
\(422\) | 1957.35 | + | 781.301i | 0.225788 | + | 0.0901260i | ||||
\(423\) | 240.475 | − | 181.938i | 0.0276414 | − | 0.0209128i | ||||
\(424\) | −7659.98 | + | 10826.5i | −0.877362 | + | 1.24006i | ||||
\(425\) | 3541.46 | − | 624.454i | 0.404202 | − | 0.0712717i | ||||
\(426\) | −3533.43 | + | 15059.1i | −0.401867 | + | 1.71271i | ||||
\(427\) | −1637.60 | − | 4499.28i | −0.185595 | − | 0.509919i | ||||
\(428\) | 1292.81 | + | 11382.3i | 0.146006 | + | 1.28548i | ||||
\(429\) | 347.292 | − | 13768.8i | 0.0390848 | − | 1.54957i | ||||
\(430\) | −3226.90 | + | 3614.16i | −0.361895 | + | 0.405327i | ||||
\(431\) | −15152.0 | −1.69338 | −0.846688 | − | 0.532089i | \(-0.821407\pi\) | ||||
−0.846688 | + | 0.532089i | \(0.821407\pi\) | |||||||
\(432\) | 1346.58 | + | 8877.40i | 0.149971 | + | 0.988690i | ||||
\(433\) | −3286.95 | −0.364806 | −0.182403 | − | 0.983224i | \(-0.558388\pi\) | ||||
−0.182403 | + | 0.983224i | \(0.558388\pi\) | |||||||
\(434\) | 1740.98 | − | 1949.91i | 0.192556 | − | 0.215665i | ||||
\(435\) | −16199.9 | + | 8816.02i | −1.78558 | + | 0.971715i | ||||
\(436\) | −796.327 | − | 7011.11i | −0.0874705 | − | 0.770118i | ||||
\(437\) | −1763.61 | − | 4845.48i | −0.193055 | − | 0.530414i | ||||
\(438\) | 7193.41 | + | 6756.22i | 0.784736 | + | 0.737043i | ||||
\(439\) | 8916.39 | − | 1572.20i | 0.969376 | − | 0.170927i | 0.333527 | − | 0.942741i | \(-0.391761\pi\) |
0.635849 | + | 0.771813i | \(0.280650\pi\) | |||||||
\(440\) | 7113.43 | − | 10054.1i | 0.770726 | − | 1.08934i | ||||
\(441\) | −5875.40 | − | 5457.80i | −0.634424 | − | 0.589332i | ||||
\(442\) | −6096.10 | − | 2433.34i | −0.656023 | − | 0.261860i | ||||
\(443\) | −7945.25 | − | 2891.84i | −0.852123 | − | 0.310147i | −0.121217 | − | 0.992626i | \(-0.538680\pi\) |
−0.730906 | + | 0.682479i | \(0.760902\pi\) | |||||||
\(444\) | −5214.49 | − | 7437.38i | −0.557362 | − | 0.794960i | ||||
\(445\) | 10073.5 | + | 8452.69i | 1.07310 | + | 0.900441i | ||||
\(446\) | 4547.66 | − | 7346.06i | 0.482821 | − | 0.779924i | ||||
\(447\) | 16527.7 | − | 5547.78i | 1.74884 | − | 0.587027i | ||||
\(448\) | 1706.64 | + | 3023.88i | 0.179980 | + | 0.318895i | ||||
\(449\) | −3353.90 | − | 1936.38i | −0.352518 | − | 0.203526i | 0.313276 | − | 0.949662i | \(-0.398574\pi\) |
−0.665794 | + | 0.746136i | \(0.731907\pi\) | |||||||
\(450\) | 8110.48 | − | 3842.51i | 0.849626 | − | 0.402528i | ||||
\(451\) | −1987.38 | + | 1147.42i | −0.207499 | + | 0.119800i | ||||
\(452\) | 4477.43 | − | 2230.40i | 0.465930 | − | 0.232100i | ||||
\(453\) | −1106.27 | + | 881.703i | −0.114739 | + | 0.0914482i | ||||
\(454\) | 10019.0 | − | 5381.16i | 1.03572 | − | 0.556278i | ||||
\(455\) | 1390.83 | − | 7887.78i | 0.143303 | − | 0.812714i | ||||
\(456\) | 5206.77 | + | 3884.54i | 0.534713 | + | 0.398926i | ||||
\(457\) | −11470.9 | + | 9625.24i | −1.17415 | + | 0.985230i | −0.174151 | + | 0.984719i | \(0.555718\pi\) |
−1.00000 | 0.000510762i | \(0.999837\pi\) | ||||||||
\(458\) | 2355.47 | − | 341.106i | 0.240314 | − | 0.0348010i | ||||
\(459\) | −2421.39 | + | 3545.02i | −0.246233 | + | 0.360496i | ||||
\(460\) | 3298.40 | + | 11149.5i | 0.334323 | + | 1.13011i | ||||
\(461\) | −2186.52 | − | 2605.79i | −0.220903 | − | 0.263262i | 0.644199 | − | 0.764858i | \(-0.277191\pi\) |
−0.865102 | + | 0.501596i | \(0.832746\pi\) | |||||||
\(462\) | −3459.14 | + | 412.178i | −0.348342 | + | 0.0415070i | ||||
\(463\) | 7252.05 | + | 1278.73i | 0.727929 | + | 0.128354i | 0.525318 | − | 0.850906i | \(-0.323946\pi\) |
0.202611 | + | 0.979259i | \(0.435057\pi\) | |||||||
\(464\) | 11643.5 | + | 8786.83i | 1.16495 | + | 0.879135i | ||||
\(465\) | −4031.75 | + | 10264.1i | −0.402081 | + | 1.02363i | ||||
\(466\) | 1294.53 | − | 426.619i | 0.128686 | − | 0.0424093i | ||||
\(467\) | 3784.73 | + | 6555.35i | 0.375025 | + | 0.649562i | 0.990331 | − | 0.138726i | \(-0.0443008\pi\) |
−0.615306 | + | 0.788288i | \(0.710968\pi\) | |||||||
\(468\) | −16278.7 | − | 1828.77i | −1.60787 | − | 0.180631i | ||||
\(469\) | 2734.96 | − | 4737.08i | 0.269272 | − | 0.466393i | ||||
\(470\) | −100.263 | + | 481.608i | −0.00983994 | + | 0.0472658i | ||||
\(471\) | 7954.45 | + | 1610.38i | 0.778178 | + | 0.157542i | ||||
\(472\) | 8834.10 | + | 2413.44i | 0.861488 | + | 0.235355i | ||||
\(473\) | −2471.24 | + | 2945.11i | −0.240228 | + | 0.286293i | ||||
\(474\) | −13682.8 | − | 8955.43i | −1.32589 | − | 0.867798i | ||||
\(475\) | 2220.76 | − | 6101.48i | 0.214517 | − | 0.589379i | ||||
\(476\) | −388.123 | + | 1614.16i | −0.0373731 | + | 0.155430i | ||||
\(477\) | −14086.5 | + | 7211.60i | −1.35215 | + | 0.692236i | ||||
\(478\) | 4278.14 | + | 5428.76i | 0.409368 | + | 0.519468i | ||||
\(479\) | 223.446 | + | 1267.23i | 0.0213142 | + | 0.120879i | 0.993608 | − | 0.112881i | \(-0.0360080\pi\) |
−0.972294 | + | 0.233760i | \(0.924897\pi\) | |||||||
\(480\) | −11180.7 | − | 9463.50i | −1.06318 | − | 0.899891i | ||||
\(481\) | 15572.0 | − | 5667.76i | 1.47614 | − | 0.537272i | ||||
\(482\) | 9.65298 | − | 314.142i | 0.000912201 | − | 0.0296862i | ||||
\(483\) | 1715.68 | − | 2805.79i | 0.161628 | − | 0.264323i | ||||
\(484\) | −483.349 | + | 729.705i | −0.0453934 | + | 0.0685298i | ||||
\(485\) | 15420.6i | 1.44374i | ||||||||
\(486\) | −3485.40 | + | 10131.3i | −0.325310 | + | 0.945607i | ||||
\(487\) | 4515.57i | 0.420164i | 0.977684 | + | 0.210082i | \(0.0673731\pi\) | ||||
−0.977684 | + | 0.210082i | \(0.932627\pi\) | |||||||
\(488\) | 6822.20 | − | 14445.5i | 0.632842 | − | 1.33999i | ||||
\(489\) | −4550.85 | + | 7442.38i | −0.420852 | + | 0.688254i | ||||
\(490\) | 13076.2 | + | 401.807i | 1.20556 | + | 0.0370445i | ||||
\(491\) | −20410.1 | + | 7428.65i | −1.87595 | + | 0.682791i | −0.917315 | + | 0.398163i | \(0.869648\pi\) |
−0.958638 | + | 0.284628i | \(0.908130\pi\) | |||||||
\(492\) | 1154.99 | + | 2472.93i | 0.105835 | + | 0.226602i | ||||
\(493\) | 1211.09 | + | 6868.44i | 0.110639 | + | 0.627462i | ||||
\(494\) | −9308.50 | + | 7335.59i | −0.847792 | + | 0.668105i | ||||
\(495\) | 13081.4 | − | 6697.05i | 1.18781 | − | 0.608101i | ||||
\(496\) | 8710.15 | − | 450.360i | 0.788502 | − | 0.0407697i | ||||
\(497\) | −2441.18 | + | 6707.10i | −0.220326 | + | 0.605341i | ||||
\(498\) | −5671.62 | + | 8665.52i | −0.510344 | + | 0.779742i | ||||
\(499\) | 1273.62 | − | 1517.84i | 0.114259 | − | 0.136168i | −0.705884 | − | 0.708328i | \(-0.749450\pi\) |
0.820142 | + | 0.572160i | \(0.193894\pi\) | |||||||
\(500\) | 371.916 | − | 854.530i | 0.0332652 | − | 0.0764314i | ||||
\(501\) | −17787.1 | − | 3601.00i | −1.58616 | − | 0.321120i | ||||
\(502\) | 7563.04 | + | 1574.50i | 0.672420 | + | 0.139986i | ||||
\(503\) | −7085.61 | + | 12272.6i | −0.628095 | + | 1.08789i | 0.359839 | + | 0.933014i | \(0.382832\pi\) |
−0.987934 | + | 0.154878i | \(0.950502\pi\) | |||||||
\(504\) | 132.322 | + | 4141.11i | 0.0116946 | + | 0.365992i | ||||
\(505\) | −4538.37 | − | 7860.68i | −0.399910 | − | 0.692665i | ||||
\(506\) | 2887.76 | + | 8762.56i | 0.253708 | + | 0.769848i | ||||
\(507\) | 6752.62 | − | 17191.0i | 0.591507 | − | 1.50588i | ||||
\(508\) | −8782.50 | − | 11877.6i | −0.767048 | − | 1.03737i | ||||
\(509\) | −7276.85 | − | 1283.10i | −0.633675 | − | 0.111734i | −0.152422 | − | 0.988316i | \(-0.548707\pi\) |
−0.481253 | + | 0.876582i | \(0.659818\pi\) | |||||||
\(510\) | −828.658 | − | 6954.40i | −0.0719482 | − | 0.603815i | ||||
\(511\) | 2927.13 | + | 3488.42i | 0.253402 | + | 0.301993i | ||||
\(512\) | −3162.28 | + | 11145.3i | −0.272957 | + | 0.962026i | ||||
\(513\) | 3357.29 | + | 6986.72i | 0.288943 | + | 0.601308i | ||||
\(514\) | 1010.82 | + | 6980.13i | 0.0867421 | + | 0.598989i | ||||
\(515\) | −20458.3 | + | 17166.6i | −1.75049 | + | 1.46884i | ||||
\(516\) | 3235.25 | + | 3231.29i | 0.276015 | + | 0.275678i | ||||
\(517\) | −67.7832 | + | 384.417i | −0.00576615 | + | 0.0327015i | ||||
\(518\) | −1983.21 | − | 3692.48i | −0.168218 | − | 0.313201i | ||||
\(519\) | −59.4419 | + | 47.3757i | −0.00502738 | + | 0.00400686i | ||||
\(520\) | 21965.5 | − | 15220.9i | 1.85241 | − | 1.28362i | ||||
\(521\) | 18111.0 | − | 10456.4i | 1.52295 | − | 0.879278i | 0.523323 | − | 0.852135i | \(-0.324692\pi\) |
0.999632 | − | 0.0271432i | \(-0.00864102\pi\) | |||||||
\(522\) | 7452.31 | + | 15729.8i | 0.624863 | + | 1.31891i | ||||
\(523\) | 8880.14 | + | 5126.95i | 0.742450 | + | 0.428654i | 0.822959 | − | 0.568100i | \(-0.192321\pi\) |
−0.0805093 | + | 0.996754i | \(0.525655\pi\) | |||||||
\(524\) | 16431.7 | + | 1010.78i | 1.36989 | + | 0.0842677i | ||||
\(525\) | 3925.98 | − | 1317.82i | 0.326369 | − | 0.109551i | ||||
\(526\) | −3190.23 | − | 1974.95i | −0.264450 | − | 0.163711i | ||||
\(527\) | 3194.48 | + | 2680.48i | 0.264049 | + | 0.221563i | ||||
\(528\) | −9098.29 | − | 7233.22i | −0.749909 | − | 0.596184i | ||||
\(529\) | 3248.42 | + | 1182.33i | 0.266986 | + | 0.0971749i | ||||
\(530\) | 9570.82 | − | 23977.2i | 0.784396 | − | 1.96510i | ||||
\(531\) | 8006.21 | + | 7437.16i | 0.654313 | + | 0.607807i | ||||
\(532\) | 2173.64 | + | 2064.15i | 0.177141 | + | 0.168219i | ||||
\(533\) | −4903.77 | + | 864.666i | −0.398510 | + | 0.0702680i | ||||
\(534\) | 8496.19 | − | 9045.97i | 0.688513 | − | 0.733066i | ||||
\(535\) | −7626.93 | − | 20954.8i | −0.616339 | − | 1.69338i | ||||
\(536\) | 17651.5 | − | 4637.34i | 1.42244 | − | 0.373699i | ||||
\(537\) | 322.554 | − | 175.535i | 0.0259204 | − | 0.0141059i | ||||
\(538\) | −4694.58 | − | 4191.55i | −0.376204 | − | 0.335893i | ||||
\(539\) | 10380.8 | 0.829561 | ||||||||
\(540\) | −6588.72 | − | 16189.3i | −0.525062 | − | 1.29014i | ||||
\(541\) | −228.632 | −0.0181694 | −0.00908470 | − | 0.999959i | \(-0.502892\pi\) | ||||
−0.00908470 | + | 0.999959i | \(0.502892\pi\) | |||||||
\(542\) | −10563.5 | − | 9431.57i | −0.837158 | − | 0.747455i | ||||
\(543\) | −318.517 | + | 12628.0i | −0.0251729 | + | 0.998012i | ||||
\(544\) | −4738.03 | + | 2869.43i | −0.373421 | + | 0.226150i | ||||
\(545\) | 4697.92 | + | 12907.4i | 0.369241 | + | 1.01448i | ||||
\(546\) | −7359.01 | − | 1726.71i | −0.576807 | − | 0.135341i | ||||
\(547\) | −17219.9 | + | 3036.33i | −1.34601 | + | 0.237338i | −0.799779 | − | 0.600295i | \(-0.795050\pi\) |
−0.546233 | + | 0.837633i | \(0.683939\pi\) | |||||||
\(548\) | 2768.16 | − | 2914.98i | 0.215784 | − | 0.227230i | ||||
\(549\) | 15201.9 | − | 11501.4i | 1.18179 | − | 0.894113i | ||||
\(550\) | −4306.89 | + | 10789.8i | −0.333903 | + | 0.836508i | ||||
\(551\) | 11833.4 | + | 4307.02i | 0.914922 | + | 0.333004i | ||||
\(552\) | 10679.9 | − | 2519.70i | 0.823488 | − | 0.194285i | ||||
\(553\) | −5780.46 | − | 4850.38i | −0.444503 | − | 0.372982i | ||||
\(554\) | −14685.8 | − | 9091.39i | −1.12624 | − | 0.697213i | ||||
\(555\) | 13254.1 | + | 11703.5i | 1.01370 | + | 0.895112i | ||||
\(556\) | −602.749 | + | 9798.52i | −0.0459753 | + | 0.747392i | ||||
\(557\) | −19806.8 | − | 11435.5i | −1.50672 | − | 0.869904i | −0.999970 | − | 0.00780969i | \(-0.997514\pi\) |
−0.506748 | − | 0.862094i | \(-0.669153\pi\) | |||||||
\(558\) | 9458.84 | + | 4340.54i | 0.717607 | + | 0.329300i | ||||
\(559\) | −7224.47 | + | 4171.05i | −0.546623 | + | 0.315593i | ||||
\(560\) | −4606.28 | − | 4946.57i | −0.347591 | − | 0.373269i | ||||
\(561\) | −826.713 | − | 5495.49i | −0.0622172 | − | 0.413582i | ||||
\(562\) | 6724.29 | + | 12519.8i | 0.504710 | + | 0.939706i | ||||
\(563\) | 2696.45 | − | 15292.3i | 0.201850 | − | 1.14475i | −0.700470 | − | 0.713682i | \(-0.747026\pi\) |
0.902320 | − | 0.431067i | \(-0.141863\pi\) | |||||||
\(564\) | 448.513 | + | 119.885i | 0.0334855 | + | 0.00895045i | ||||
\(565\) | −7459.31 | + | 6259.10i | −0.555426 | + | 0.466057i | ||||
\(566\) | 1810.79 | + | 12504.2i | 0.134476 | + | 0.928607i | ||||
\(567\) | −2150.13 | + | 4451.84i | −0.159254 | + | 0.329735i | ||||
\(568\) | −21632.3 | + | 9958.86i | −1.59801 | + | 0.735677i | ||||
\(569\) | 9914.25 | + | 11815.3i | 0.730451 | + | 0.870518i | 0.995602 | − | 0.0936891i | \(-0.0298660\pi\) |
−0.265150 | + | 0.964207i | \(0.585422\pi\) | |||||||
\(570\) | −11622.6 | − | 4982.63i | −0.854065 | − | 0.366139i | ||||
\(571\) | 11488.1 | + | 2025.65i | 0.841961 | + | 0.148461i | 0.577963 | − | 0.816063i | \(-0.303848\pi\) |
0.263998 | + | 0.964523i | \(0.414959\pi\) | |||||||
\(572\) | 17050.4 | − | 12607.4i | 1.24635 | − | 0.921576i | ||||
\(573\) | 3602.60 | − | 541.956i | 0.262654 | − | 0.0395123i | ||||
\(574\) | 394.198 | + | 1196.15i | 0.0286646 | + | 0.0869794i | ||||
\(575\) | −5483.93 | − | 9498.44i | −0.397731 | − | 0.688891i | ||||
\(576\) | −9507.05 | + | 10035.9i | −0.687721 | + | 0.725975i | ||||
\(577\) | 5240.23 | − | 9076.34i | 0.378082 | − | 0.654858i | −0.612701 | − | 0.790315i | \(-0.709917\pi\) |
0.990783 | + | 0.135457i | \(0.0432502\pi\) | |||||||
\(578\) | 11011.6 | + | 2292.42i | 0.792423 | + | 0.164969i | ||||
\(579\) | 4778.08 | − | 5411.11i | 0.342953 | − | 0.388391i | ||||
\(580\) | −26036.4 | − | 11331.8i | −1.86397 | − | 0.811253i | ||||
\(581\) | −3071.83 | + | 3660.86i | −0.219347 | + | 0.261408i | ||||
\(582\) | 14530.4 | + | 813.620i | 1.03488 | + | 0.0579479i | ||||
\(583\) | 7006.47 | − | 19250.1i | 0.497733 | − | 1.36751i | ||||
\(584\) | −1398.22 | + | 15129.4i | −0.0990730 | + | 1.07202i | ||||
\(585\) | 31642.8 | − | 3947.07i | 2.23635 | − | 0.278960i | ||||
\(586\) | −8041.04 | + | 6336.76i | −0.566847 | + | 0.446705i | ||||
\(587\) | 2213.68 | + | 12554.4i | 0.155653 | + | 0.882752i | 0.958186 | + | 0.286145i | \(0.0923739\pi\) |
−0.802533 | + | 0.596607i | \(0.796515\pi\) | |||||||
\(588\) | 1068.53 | − | 12300.1i | 0.0749414 | − | 0.862664i | ||||
\(589\) | 7075.39 | − | 2575.23i | 0.494969 | − | 0.180154i | ||||
\(590\) | −17818.5 | − | 547.529i | −1.24335 | − | 0.0382058i | ||||
\(591\) | −8199.93 | − | 206.827i | −0.570728 | − | 0.0143955i | ||||
\(592\) | 4098.07 | − | 13370.7i | 0.284509 | − | 0.928261i | ||||
\(593\) | − | 24575.8i | − | 1.70187i | −0.525274 | − | 0.850933i | \(-0.676037\pi\) | ||
0.525274 | − | 0.850933i | \(-0.323963\pi\) | |||||||
\(594\) | −5620.20 | − | 12679.5i | −0.388215 | − | 0.875836i | ||||
\(595\) | − | 3231.72i | − | 0.222668i | ||||||
\(596\) | 22377.4 | + | 14822.6i | 1.53794 | + | 1.01872i | ||||
\(597\) | −2865.02 | − | 5264.62i | −0.196411 | − | 0.360916i | ||||
\(598\) | −614.862 | + | 20009.8i | −0.0420461 | + | 1.36833i | ||||
\(599\) | −1184.50 | + | 431.122i | −0.0807968 | + | 0.0294076i | −0.382102 | − | 0.924120i | \(-0.624800\pi\) |
0.301306 | + | 0.953528i | \(0.402578\pi\) | |||||||
\(600\) | 12341.4 | + | 6213.81i | 0.839724 | + | 0.422796i | ||||
\(601\) | −3094.58 | − | 17550.2i | −0.210034 | − | 1.19116i | −0.889319 | − | 0.457287i | \(-0.848821\pi\) |
0.679285 | − | 0.733875i | \(-0.262290\pi\) | |||||||
\(602\) | 1305.96 | + | 1657.20i | 0.0884170 | + | 0.112197i | ||||
\(603\) | 21228.5 | + | 4857.98i | 1.43365 | + | 0.328080i | ||||
\(604\) | −2117.63 | − | 509.184i | −0.142658 | − | 0.0343020i | ||||
\(605\) | 582.742 | − | 1601.07i | 0.0391601 | − | 0.107591i | ||||
\(606\) | −7646.31 | + | 3861.61i | −0.512558 | + | 0.258857i | ||||
\(607\) | −7711.26 | + | 9189.92i | −0.515635 | + | 0.614510i | −0.959543 | − | 0.281563i | \(-0.909147\pi\) |
0.443908 | + | 0.896072i | \(0.353592\pi\) | |||||||
\(608\) | 209.424 | + | 9999.30i | 0.0139692 | + | 0.666982i | ||||
\(609\) | 2555.83 | + | 7614.20i | 0.170061 | + | 0.506639i | ||||
\(610\) | −6338.23 | + | 30445.5i | −0.420701 | + | 2.02082i | ||||
\(611\) | −423.495 | + | 733.516i | −0.0280406 | + | 0.0485677i | ||||
\(612\) | −6596.62 | + | 413.890i | −0.435707 | + | 0.0273375i | ||||
\(613\) | −1816.37 | − | 3146.05i | −0.119678 | − | 0.207288i | 0.799962 | − | 0.600050i | \(-0.204853\pi\) |
−0.919640 | + | 0.392762i | \(0.871519\pi\) | |||||||
\(614\) | −16059.2 | + | 5292.41i | −1.05553 | + | 0.347857i | ||||
\(615\) | −3311.45 | − | 4154.85i | −0.217123 | − | 0.272422i | ||||
\(616\) | −3773.89 | − | 3810.97i | −0.246842 | − | 0.249267i | ||||
\(617\) | 11618.8 | + | 2048.71i | 0.758112 | + | 0.133676i | 0.539326 | − | 0.842097i | \(-0.318679\pi\) |
0.218786 | + | 0.975773i | \(0.429790\pi\) | |||||||
\(618\) | 15096.1 | + | 20183.0i | 0.982611 | + | 1.31372i | ||||
\(619\) | 764.045 | + | 910.553i | 0.0496116 | + | 0.0591248i | 0.790280 | − | 0.612746i | \(-0.209935\pi\) |
−0.740668 | + | 0.671871i | \(0.765491\pi\) | |||||||
\(620\) | −16280.6 | + | 4816.33i | −1.05459 | + | 0.311981i | ||||
\(621\) | 12685.9 | + | 3241.76i | 0.819755 | + | 0.209480i | ||||
\(622\) | 2729.25 | − | 395.235i | 0.175937 | − | 0.0254783i | ||||
\(623\) | 4386.81 | − | 3680.97i | 0.282109 | − | 0.236717i | ||||
\(624\) | −13183.2 | − | 21500.5i | −0.845757 | − | 1.37934i | ||||
\(625\) | −2865.91 | + | 16253.4i | −0.183418 | + | 1.04022i | ||||
\(626\) | −8928.40 | + | 4795.39i | −0.570049 | + | 0.306170i | ||||
\(627\) | −9339.57 | − | 3668.58i | −0.594875 | − | 0.233666i | ||||
\(628\) | 5571.38 | + | 11184.3i | 0.354017 | + | 0.710671i | ||||
\(629\) | 5790.57 | − | 3343.19i | 0.367067 | − | 0.211926i | ||||
\(630\) | −2135.04 | − | 7777.61i | −0.135019 | − | 0.491853i | ||||
\(631\) | −23193.2 | − | 13390.6i | −1.46324 | − | 0.844803i | −0.464082 | − | 0.885792i | \(-0.653616\pi\) |
−0.999160 | + | 0.0409897i | \(0.986949\pi\) | |||||||
\(632\) | −2071.67 | − | 25091.6i | −0.130390 | − | 1.57926i | ||||
\(633\) | −768.255 | + | 3794.78i | −0.0482392 | + | 0.238277i | ||||
\(634\) | 1367.77 | − | 2209.42i | 0.0856797 | − | 0.138403i | ||||
\(635\) | 22027.9 | + | 18483.6i | 1.37662 | + | 1.15512i | ||||
\(636\) | −22088.0 | − | 10283.3i | −1.37712 | − | 0.641134i | ||||
\(637\) | 21166.3 | + | 7703.89i | 1.31654 | + | 0.479183i | ||||
\(638\) | −20926.2 | − | 8352.95i | −1.29855 | − | 0.518333i | ||||
\(639\) | −28380.5 | − | 1432.60i | −1.75699 | − | 0.0886895i | ||||
\(640\) | 913.025 | − | 22533.7i | 0.0563914 | − | 1.39175i | ||||
\(641\) | −6233.71 | + | 1099.17i | −0.384114 | + | 0.0677296i | −0.362371 | − | 0.932034i | \(-0.618033\pi\) |
−0.0217428 | + | 0.999764i | \(0.506921\pi\) | |||||||
\(642\) | −20147.4 | + | 6080.99i | −1.23856 | + | 0.373828i | ||||
\(643\) | −10689.1 | − | 29368.0i | −0.655578 | − | 1.80118i | −0.596034 | − | 0.802959i | \(-0.703258\pi\) |
−0.0595437 | − | 0.998226i | \(-0.518965\pi\) | |||||||
\(644\) | 5031.05 | − | 571.430i | 0.307843 | − | 0.0349651i | ||||
\(645\) | −7593.85 | − | 4643.47i | −0.463578 | − | 0.283467i | ||||
\(646\) | −3184.84 | + | 3567.05i | −0.193972 | + | 0.217251i | ||||
\(647\) | −5494.27 | −0.333852 | −0.166926 | − | 0.985969i | \(-0.553384\pi\) | ||||
−0.166926 | + | 0.985969i | \(0.553384\pi\) | |||||||
\(648\) | −15602.3 | + | 5354.15i | −0.945857 | + | 0.324585i | ||||
\(649\) | −14145.6 | −0.855567 | ||||||||
\(650\) | −16789.1 | + | 18804.0i | −1.01311 | + | 1.13470i | ||||
\(651\) | 4097.03 | + | 2505.24i | 0.246659 | + | 0.150827i | ||||
\(652\) | −13344.9 | + | 1515.72i | −0.801574 | + | 0.0910433i | ||||
\(653\) | −9920.55 | − | 27256.5i | −0.594519 | − | 1.63343i | −0.762018 | − | 0.647556i | \(-0.775791\pi\) |
0.167499 | − | 0.985872i | \(-0.446431\pi\) | |||||||
\(654\) | 12410.1 | − | 3745.67i | 0.742008 | − | 0.223956i | ||||
\(655\) | −31560.0 | + | 5564.88i | −1.88268 | + | 0.331966i | ||||
\(656\) | −1910.34 | + | 3742.78i | −0.113699 | + | 0.222760i | ||||
\(657\) | −9845.03 | + | 15224.1i | −0.584614 | + | 0.904030i | ||||
\(658\) | 198.962 | + | 79.4182i | 0.0117878 | + | 0.00470523i | ||||
\(659\) | −519.079 | − | 188.929i | −0.0306835 | − | 0.0111679i | 0.326633 | − | 0.945151i | \(-0.394086\pi\) |
−0.357316 | + | 0.933983i | \(0.616308\pi\) | |||||||
\(660\) | 20512.0 | + | 9549.62i | 1.20974 | + | 0.563210i | ||||
\(661\) | 7097.15 | + | 5955.22i | 0.417620 | + | 0.350425i | 0.827257 | − | 0.561824i | \(-0.189900\pi\) |
−0.409637 | + | 0.912249i | \(0.634344\pi\) | |||||||
\(662\) | 6133.35 | − | 9907.51i | 0.360090 | − | 0.581671i | ||||
\(663\) | 2392.70 | − | 11818.7i | 0.140158 | − | 0.692309i | ||||
\(664\) | −15890.9 | + | 1312.03i | −0.928746 | + | 0.0766814i | ||||
\(665\) | −5053.40 | − | 2917.58i | −0.294680 | − | 0.170134i | ||||
\(666\) | 11727.2 | − | 11871.4i | 0.682309 | − | 0.690702i | ||||
\(667\) | 18421.6 | − | 10635.7i | 1.06940 | − | 0.617417i | ||||
\(668\) | −12458.3 | − | 25009.3i | −0.721594 | − | 1.44856i | ||||
\(669\) | 14773.5 | + | 5803.00i | 0.853774 | + | 0.335362i | ||||
\(670\) | −31298.4 | + | 16810.2i | −1.80472 | + | 0.969303i | ||||
\(671\) | −4285.00 | + | 24301.4i | −0.246528 | + | 1.39813i | ||||
\(672\) | −4904.03 | + | 4079.35i | −0.281513 | + | 0.234173i | ||||
\(673\) | 2309.93 | − | 1938.26i | 0.132305 | − | 0.111017i | −0.574234 | − | 0.818691i | \(-0.694700\pi\) |
0.706539 | + | 0.707674i | \(0.250256\pi\) | |||||||
\(674\) | 32231.4 | − | 4667.57i | 1.84200 | − | 0.266748i | ||||
\(675\) | 9613.06 | + | 13395.1i | 0.548158 | + | 0.763816i | ||||
\(676\) | 27267.7 | − | 8066.68i | 1.55142 | − | 0.458960i | ||||
\(677\) | 21776.9 | + | 25952.7i | 1.23627 | + | 1.47333i | 0.828255 | + | 0.560351i | \(0.189334\pi\) |
0.408014 | + | 0.912976i | \(0.366222\pi\) | |||||||
\(678\) | 5504.18 | + | 7358.90i | 0.311780 | + | 0.416839i | ||||
\(679\) | 6613.34 | + | 1166.11i | 0.373780 | + | 0.0659075i | ||||
\(680\) | 7661.73 | − | 7587.18i | 0.432079 | − | 0.427875i | ||||
\(681\) | 13021.9 | + | 16338.5i | 0.732746 | + | 0.919371i | ||||
\(682\) | −12795.1 | + | 4216.71i | −0.718402 | + | 0.236754i | ||||
\(683\) | 3463.92 | + | 5999.68i | 0.194060 | + | 0.336122i | 0.946592 | − | 0.322434i | \(-0.104501\pi\) |
−0.752532 | + | 0.658556i | \(0.771168\pi\) | |||||||
\(684\) | −5308.20 | + | 10688.7i | −0.296731 | + | 0.597504i | ||||
\(685\) | −3912.65 | + | 6776.91i | −0.218241 | + | 0.378004i | ||||
\(686\) | 2502.09 | − | 12018.7i | 0.139257 | − | 0.668916i | ||||
\(687\) | 1391.38 | + | 4145.13i | 0.0772698 | + | 0.230199i | ||||
\(688\) | −862.841 | + | 6986.80i | −0.0478132 | + | 0.387165i | ||||
\(689\) | 28572.1 | − | 34050.9i | 1.57984 | − | 1.88278i | ||||
\(690\) | −19066.9 | + | 9629.35i | −1.05198 | + | 0.531280i | ||||
\(691\) | 6429.82 | − | 17665.8i | 0.353983 | − | 0.972559i | −0.627095 | − | 0.778943i | \(-0.715756\pi\) |
0.981077 | − | 0.193616i | \(-0.0620217\pi\) | |||||||
\(692\) | −113.785 | − | 27.3595i | −0.00625065 | − | 0.00150296i | ||||
\(693\) | −1882.90 | − | 6116.55i | −0.103211 | − | 0.335279i | ||||
\(694\) | −6094.44 | − | 7733.54i | −0.333345 | − | 0.422999i | ||||
\(695\) | −3318.44 | − | 18819.8i | −0.181116 | − | 1.02716i | ||||
\(696\) | −12051.3 | + | 23935.3i | −0.656326 | + | 1.30354i | ||||
\(697\) | −1887.97 | + | 687.164i | −0.102600 | + | 0.0373432i | ||||
\(698\) | −379.901 | + | 12363.3i | −0.0206010 | + | 0.670427i | ||||
\(699\) | 1196.93 | + | 2199.42i | 0.0647668 | + | 0.119012i | ||||
\(700\) | 5315.52 | + | 3520.94i | 0.287011 | + | 0.190113i | ||||
\(701\) | 11896.3i | 0.640966i | 0.947254 | + | 0.320483i | \(0.103845\pi\) | ||||
−0.947254 | + | 0.320483i | \(0.896155\pi\) | |||||||
\(702\) | −2049.67 | − | 30024.2i | −0.110199 | − | 1.61423i | ||||
\(703\) | − | 12072.8i | − | 0.647704i | ||||||
\(704\) | 174.969 | − | 17894.2i | 0.00936702 | − | 0.957973i | ||||
\(705\) | −903.453 | − | 22.7878i | −0.0482638 | − | 0.00121736i | ||||
\(706\) | 25694.4 | + | 789.539i | 1.36972 | + | 0.0420888i | ||||
\(707\) | −3714.35 | + | 1351.91i | −0.197585 | + | 0.0719149i | ||||
\(708\) | −1456.05 | + | 16760.9i | −0.0772908 | + | 0.889708i | ||||
\(709\) | −2412.53 | − | 13682.1i | −0.127792 | − | 0.724743i | −0.979610 | − | 0.200907i | \(-0.935611\pi\) |
0.851819 | − | 0.523837i | \(-0.175500\pi\) | |||||||
\(710\) | 36410.9 | − | 28693.7i | 1.92462 | − | 1.51670i | ||||
\(711\) | 11685.2 | − | 27676.6i | 0.616356 | − | 1.45985i | ||||
\(712\) | 19025.8 | + | 1758.31i | 1.00143 | + | 0.0925496i | ||||
\(713\) | 4349.99 | − | 11951.5i | 0.228483 | − | 0.627752i | ||||
\(714\) | −3045.14 | − | 170.511i | −0.159610 | − | 0.00893730i | ||||
\(715\) | −26533.5 | + | 31621.3i | −1.38783 | + | 1.65395i | ||||
\(716\) | 518.407 | + | 225.626i | 0.0270584 | + | 0.0117766i | ||||
\(717\) | −8404.74 | + | 9518.27i | −0.437769 | + | 0.495769i | ||||
\(718\) | −2049.98 | − | 426.771i | −0.106552 | − | 0.0221824i | ||||
\(719\) | 1290.73 | − | 2235.62i | 0.0669489 | − | 0.115959i | −0.830608 | − | 0.556858i | \(-0.812007\pi\) |
0.897557 | + | 0.440899i | \(0.145340\pi\) | |||||||
\(720\) | 13426.6 | − | 23321.4i | 0.694971 | − | 1.20713i | ||||
\(721\) | 5815.05 | + | 10072.0i | 0.300366 | + | 0.520249i | ||||
\(722\) | −3369.71 | − | 10225.0i | −0.173695 | − | 0.527057i | ||||
\(723\) | 570.963 | − | 85.8928i | 0.0293698 | − | 0.00441824i | ||||
\(724\) | −15637.7 | + | 11562.8i | −0.802722 | + | 0.593548i | ||||
\(725\) | 26378.3 | + | 4651.21i | 1.35126 | + | 0.238264i | ||||
\(726\) | −1477.89 | − | 633.574i | −0.0755505 | − | 0.0323886i | ||||
\(727\) | 9318.65 | + | 11105.5i | 0.475391 | + | 0.566549i | 0.949440 | − | 0.313949i | \(-0.101652\pi\) |
−0.474048 | + | 0.880499i | \(0.657208\pi\) | |||||||
\(728\) | −4866.66 | − | 10571.2i | −0.247762 | − | 0.538180i | ||||
\(729\) | −19458.1 | − | 2966.81i | −0.988575 | − | 0.150729i | ||||
\(730\) | −4238.94 | − | 29271.6i | −0.214918 | − | 1.48409i | ||||
\(731\) | −2578.46 | + | 2163.58i | −0.130462 | + | 0.109471i | ||||
\(732\) | 28353.3 | + | 7578.66i | 1.43165 | + | 0.382671i | ||||
\(733\) | 1178.48 | − | 6683.47i | 0.0593833 | − | 0.336780i | −0.940613 | − | 0.339481i | \(-0.889749\pi\) |
0.999996 | + | 0.00270109i | \(0.000859784\pi\) | |||||||
\(734\) | 13011.1 | + | 24225.0i | 0.654288 | + | 1.21820i | ||||
\(735\) | 3575.30 | + | 23766.4i | 0.179425 | + | 1.19271i | ||||
\(736\) | 13166.2 | + | 10586.0i | 0.659394 | + | 0.530169i | ||||
\(737\) | −24413.7 | + | 14095.3i | −1.22021 | + | 0.704486i | ||||
\(738\) | −4089.69 | + | 2901.05i | −0.203989 | + | 0.144701i | ||||
\(739\) | 26220.5 | + | 15138.4i | 1.30519 | + | 0.753552i | 0.981289 | − | 0.192538i | \(-0.0616720\pi\) |
0.323902 | + | 0.946091i | \(0.395005\pi\) | |||||||
\(740\) | −1671.43 | + | 27171.5i | −0.0830312 | + | 1.34979i | ||||
\(741\) | −16320.6 | − | 14411.3i | −0.809114 | − | 0.714457i | ||||
\(742\) | −9559.20 | − | 5917.73i | −0.472951 | − | 0.292785i | ||||
\(743\) | −5676.79 | − | 4763.40i | −0.280298 | − | 0.235198i | 0.491790 | − | 0.870714i | \(-0.336343\pi\) |
−0.772088 | + | 0.635516i | \(0.780787\pi\) | |||||||
\(744\) | 3679.27 | + | 15594.8i | 0.181302 | + | 0.768458i | ||||
\(745\) | −49099.1 | − | 17870.6i | −2.41456 | − | 0.878830i | ||||
\(746\) | 4166.69 | − | 10438.6i | 0.204495 | − | 0.512311i | ||||
\(747\) | −17528.0 | − | 7400.42i | −0.858523 | − | 0.362473i | ||||
\(748\) | 5891.77 | − | 6204.28i | 0.288001 | − | 0.303277i | ||||
\(749\) | −9563.49 | + | 1686.30i | −0.466545 | + | 0.0822645i | ||||
\(750\) | 1666.84 | + | 391.105i | 0.0811527 | + | 0.0190415i | ||||
\(751\) | 10556.7 | + | 29004.3i | 0.512942 | + | 1.40930i | 0.878157 | + | 0.478372i | \(0.158773\pi\) |
−0.365215 | + | 0.930923i | \(0.619005\pi\) | |||||||
\(752\) | 278.823 | + | 658.148i | 0.0135208 | + | 0.0319151i | ||||
\(753\) | −357.854 | + | 14187.6i | −0.0173186 | + | 0.686619i | ||||
\(754\) | −36469.1 | − | 32561.4i | −1.76144 | − | 1.57270i | ||||
\(755\) | 4239.74 | 0.204371 | ||||||||
\(756\) | −7441.23 | + | 1601.42i | −0.357983 | + | 0.0770411i | ||||
\(757\) | −352.930 | −0.0169451 | −0.00847255 | − | 0.999964i | \(-0.502697\pi\) | ||||
−0.00847255 | + | 0.999964i | \(0.502697\pi\) | |||||||
\(758\) | −2478.30 | − | 2212.75i | −0.118755 | − | 0.106030i | ||||
\(759\) | −14887.7 | + | 8101.93i | −0.711976 | + | 0.387459i | ||||
\(760\) | −4947.00 | − | 18830.2i | −0.236114 | − | 0.898741i | ||||
\(761\) | −1718.22 | − | 4720.76i | −0.0818466 | − | 0.224872i | 0.892019 | − | 0.451999i | \(-0.149289\pi\) |
−0.973865 | + | 0.227127i | \(0.927067\pi\) | |||||||
\(762\) | 18578.7 | − | 19780.9i | 0.883250 | − | 0.940404i | ||||
\(763\) | 5890.77 | − | 1038.70i | 0.279502 | − | 0.0492837i | ||||
\(764\) | 4067.25 | + | 3862.38i | 0.192602 | + | 0.182901i | ||||
\(765\) | 12297.0 | − | 3785.45i | 0.581173 | − | 0.178906i | ||||
\(766\) | 11007.7 | − | 27576.9i | 0.519221 | − | 1.30078i | ||||
\(767\) | −28842.6 | − | 10497.8i | −1.35782 | − | 0.494205i | ||||
\(768\) | −21184.6 | − | 2049.23i | −0.995354 | − | 0.0962828i | ||||
\(769\) | −15566.2 | − | 13061.6i | −0.729951 | − | 0.612501i | 0.200168 | − | 0.979762i | \(-0.435851\pi\) |
−0.930118 | + | 0.367260i | \(0.880296\pi\) | |||||||
\(770\) | 8877.14 | + | 5495.49i | 0.415467 | + | 0.257200i | ||||
\(771\) | −12283.5 | + | 4123.16i | −0.573775 | + | 0.192597i | ||||
\(772\) | 11093.0 | + | 682.378i | 0.517158 | + | 0.0318126i | ||||
\(773\) | −13158.3 | − | 7596.93i | −0.612251 | − | 0.353483i | 0.161595 | − | 0.986857i | \(-0.448336\pi\) |
−0.773846 | + | 0.633374i | \(0.781670\pi\) | |||||||
\(774\) | −4776.05 | + | 6910.43i | −0.221798 | + | 0.320918i | ||||
\(775\) | 13869.7 | − | 8007.65i | 0.642855 | − | 0.371153i | ||||
\(776\) | 12761.7 | + | 18416.5i | 0.590357 | + | 0.851952i | ||||
\(777\) | 6021.48 | − | 4799.17i | 0.278017 | − | 0.221582i | ||||
\(778\) | 4153.55 | + | 7733.38i | 0.191404 | + | 0.356369i | ||||
\(779\) | −629.938 | + | 3572.56i | −0.0289729 | + | 0.164313i | ||||
\(780\) | 34736.5 | + | 34694.0i | 1.59457 | + | 1.59262i | ||||
\(781\) | 28179.0 | − | 23645.0i | 1.29107 | − | 1.08333i | ||||
\(782\) | 1157.66 | + | 7994.12i | 0.0529385 | + | 0.365562i | ||||
\(783\) | −25978.9 | + | 18643.9i | −1.18571 | + | 0.850932i | ||||
\(784\) | 15949.1 | − | 10341.6i | 0.726546 | − | 0.471101i | ||||
\(785\) | −15634.8 | − | 18632.8i | −0.710865 | − | 0.847176i | ||||
\(786\) | 3578.44 | + | 30031.6i | 0.162390 | + | 1.36284i | ||||
\(787\) | 16349.9 | + | 2882.93i | 0.740549 | + | 0.130579i | 0.531181 | − | 0.847258i | \(-0.321748\pi\) |
0.209368 | + | 0.977837i | \(0.432859\pi\) | |||||||
\(788\) | −7508.24 | − | 10154.2i | −0.339429 | − | 0.459048i | ||||
\(789\) | 2520.11 | − | 6415.78i | 0.113712 | − | 0.289490i | ||||
\(790\) | 15340.1 | + | 46547.6i | 0.690855 | + | 2.09632i | ||||
\(791\) | 2120.22 | + | 3672.33i | 0.0953052 | + | 0.165074i | ||||
\(792\) | 10080.5 | − | 18823.9i | 0.452268 | − | 0.844543i | ||||
\(793\) | −26771.8 | + | 46370.1i | −1.19886 | + | 2.07648i | ||||
\(794\) | −15849.3 | − | 3299.55i | −0.708401 | − | 0.147477i | ||||
\(795\) | 46485.5 | + | 9411.01i | 2.07380 | + | 0.419842i | ||||
\(796\) | 3682.59 | − | 8461.27i | 0.163977 | − | 0.376761i | ||||
\(797\) | −8619.12 | + | 10271.9i | −0.383068 | + | 0.456522i | −0.922780 | − | 0.385327i | \(-0.874089\pi\) |
0.539712 | + | 0.841849i | \(0.318533\pi\) | |||||||
\(798\) | −3015.77 | + | 4607.71i | −0.133781 | + | 0.204400i | ||||
\(799\) | −116.886 | + | 321.140i | −0.00517536 | + | 0.0142192i | ||||
\(800\) | 4131.94 | + | 20868.2i | 0.182608 | + | 0.922251i | ||||
\(801\) | 19144.8 | + | 12380.5i | 0.844505 | + | 0.546120i | ||||
\(802\) | 20647.1 | − | 16271.0i | 0.909070 | − | 0.716395i | ||||
\(803\) | −4075.37 | − | 23112.6i | −0.179099 | − | 1.01572i | ||||
\(804\) | 14188.3 | + | 30378.3i | 0.622366 | + | 1.33254i | ||||
\(805\) | −9262.13 | + | 3371.14i | −0.405525 | + | 0.147599i | ||||
\(806\) | −29218.3 | − | 897.824i | −1.27689 | − | 0.0392363i | ||||
\(807\) | 6031.59 | − | 9863.95i | 0.263100 | − | 0.430270i | ||||
\(808\) | −11925.3 | − | 5632.02i | −0.519223 | − | 0.245215i | ||||
\(809\) | − | 28915.3i | − | 1.25662i | −0.777962 | − | 0.628311i | \(-0.783746\pi\) | ||
0.777962 | − | 0.628311i | \(-0.216254\pi\) | |||||||
\(810\) | 27093.5 | − | 17234.2i | 1.17527 | − | 0.747592i | ||||
\(811\) | − | 25685.2i | − | 1.11212i | −0.831142 | − | 0.556059i | \(-0.812313\pi\) | ||
0.831142 | − | 0.556059i | \(-0.187687\pi\) | |||||||
\(812\) | −6828.65 | + | 10309.1i | −0.295122 | + | 0.445541i | ||||
\(813\) | 13571.9 | − | 22195.3i | 0.585471 | − | 0.957469i | ||||
\(814\) | −663.450 | + | 21591.0i | −0.0285675 | + | 0.929686i | ||||
\(815\) | 24567.9 | − | 8941.97i | 1.05592 | − | 0.384323i | ||||
\(816\) | −6744.90 | − | 7619.70i | −0.289361 | − | 0.326891i | ||||
\(817\) | 1055.35 | + | 5985.17i | 0.0451920 | + | 0.256297i | ||||
\(818\) | 8109.07 | + | 10290.0i | 0.346610 | + | 0.439831i | ||||
\(819\) | 700.076 | − | 13868.9i | 0.0298689 | − | 0.591719i | ||||
\(820\) | 1912.36 | − | 7953.28i | 0.0814421 | − | 0.338708i | ||||
\(821\) | −15353.6 | + | 42183.6i | −0.652671 | + | 1.79320i | −0.0450324 | + | 0.998986i | \(0.514339\pi\) |
−0.607639 | + | 0.794214i | \(0.707883\pi\) | |||||||
\(822\) | 6179.22 | + | 4044.32i | 0.262196 | + | 0.171608i | ||||
\(823\) | 16665.4 | − | 19861.0i | 0.705855 | − | 0.841205i | −0.287321 | − | 0.957834i | \(-0.592765\pi\) |
0.993175 | + | 0.116630i | \(0.0372090\pi\) | |||||||
\(824\) | −10226.4 | + | 37432.4i | −0.432346 | + | 1.58255i | ||||
\(825\) | −20918.6 | − | 4234.98i | −0.882778 | − | 0.178719i | ||||
\(826\) | −1582.25 | + | 7600.29i | −0.0666508 | + | 0.320155i | ||||
\(827\) | 5673.89 | − | 9827.47i | 0.238574 | − | 0.413222i | −0.721731 | − | 0.692173i | \(-0.756653\pi\) |
0.960305 | + | 0.278951i | \(0.0899868\pi\) | |||||||
\(828\) | 8067.41 | + | 18474.2i | 0.338601 | + | 0.775389i | ||||
\(829\) | 16890.8 | + | 29255.8i | 0.707652 | + | 1.22569i | 0.965726 | + | 0.259564i | \(0.0835788\pi\) |
−0.258074 | + | 0.966125i | \(0.583088\pi\) | |||||||
\(830\) | 29479.4 | − | 9715.12i | 1.23282 | − | 0.406285i | ||||
\(831\) | 11601.0 | − | 29534.1i | 0.484276 | − | 1.23289i | ||||
\(832\) | 13636.5 | − | 36356.1i | 0.568224 | − | 1.51493i | ||||
\(833\) | 8950.36 | + | 1578.19i | 0.372283 | + | 0.0656435i | ||||
\(834\) | −17908.4 | + | 2133.89i | −0.743545 | + | 0.0885978i | ||||
\(835\) | 34961.2 | + | 41665.1i | 1.44896 | + | 1.72680i | ||||
\(836\) | −4382.49 | − | 14814.1i | −0.181306 | − | 0.612866i | ||||
\(837\) | −4733.62 | + | 18524.0i | −0.195481 | + | 0.764974i | ||||
\(838\) | 2548.63 | − | 369.079i | 0.105061 | − | 0.0152143i | ||||
\(839\) | 5671.47 | − | 4758.93i | 0.233374 | − | 0.195824i | −0.518600 | − | 0.855017i | \(-0.673546\pi\) |
0.751974 | + | 0.659193i | \(0.229102\pi\) | |||||||
\(840\) | 7425.28 | − | 9952.72i | 0.304996 | − | 0.408811i | ||||
\(841\) | −4785.63 | + | 27140.6i | −0.196221 | + | 1.11282i | ||||
\(842\) | −6159.64 | + | 3308.30i | −0.252108 | + | 0.135406i | ||||
\(843\) | −20416.5 | + | 16272.1i | −0.834143 | + | 0.664819i | ||||
\(844\) | −5335.61 | + | 2657.91i | −0.217606 | + | 0.108399i | ||||
\(845\) | −47938.1 | + | 27677.1i | −1.95162 | + | 1.12677i | ||||
\(846\) | −69.1400 | + | 850.091i | −0.00280979 | + | 0.0345470i | ||||
\(847\) | −642.573 | − | 370.990i | −0.0260674 | − | 0.0150500i | ||||
\(848\) | −8412.65 | − | 36556.0i | −0.340674 | − | 1.48035i | ||||
\(849\) | −22004.8 | + | 7386.25i | −0.889519 | + | 0.298581i | ||||
\(850\) | −5353.78 | + | 8648.23i | −0.216039 | + | 0.348979i | ||||
\(851\) | −15622.0 | − | 13108.4i | −0.629276 | − | 0.528025i | ||||
\(852\) | −25116.0 | − | 35822.8i | −1.00993 | − | 1.44045i | ||||
\(853\) | 2682.87 | + | 976.486i | 0.107690 | + | 0.0391961i | 0.395303 | − | 0.918551i | \(-0.370639\pi\) |
−0.287613 | + | 0.957747i | \(0.592862\pi\) | |||||||
\(854\) | 12577.6 | + | 5020.52i | 0.503978 | + | 0.201169i | ||||
\(855\) | 5182.37 | − | 22646.1i | 0.207290 | − | 0.905824i | ||||
\(856\) | −26450.3 | − | 18714.1i | −1.05613 | − | 0.747235i | ||||
\(857\) | 23769.4 | − | 4191.19i | 0.947429 | − | 0.167057i | 0.321476 | − | 0.946918i | \(-0.395821\pi\) |
0.625954 | + | 0.779860i | \(0.284710\pi\) | |||||||
\(858\) | 28395.8 | + | 26670.0i | 1.12986 | + | 1.06119i | ||||
\(859\) | 13255.7 | + | 36419.7i | 0.526517 | + | 1.44659i | 0.863145 | + | 0.504956i | \(0.168491\pi\) |
−0.336629 | + | 0.941638i | \(0.609287\pi\) | |||||||
\(860\) | −1546.57 | − | 13616.5i | −0.0613228 | − | 0.539905i | ||||
\(861\) | −2032.27 | + | 1105.97i | −0.0804409 | + | 0.0437761i | ||||
\(862\) | 28542.8 | − | 31968.2i | 1.12781 | − | 1.26316i | ||||
\(863\) | −12812.9 | −0.505397 | −0.252698 | − | 0.967545i | \(-0.581318\pi\) | ||||
−0.252698 | + | 0.967545i | \(0.581318\pi\) | |||||||
\(864\) | −21266.5 | − | 13881.9i | −0.837387 | − | 0.546610i | ||||
\(865\) | 227.810 | 0.00895464 | ||||||||
\(866\) | 6191.85 | − | 6934.94i | 0.242965 | − | 0.272123i | ||||
\(867\) | −521.024 | + | 20656.7i | −0.0204093 | + | 0.809155i | ||||
\(868\) | 834.404 | + | 7346.35i | 0.0326285 | + | 0.287271i | ||||
\(869\) | 13301.0 | + | 36544.1i | 0.519222 | + | 1.42655i | ||||
\(870\) | 11916.5 | − | 50786.5i | 0.464374 | − | 1.97911i | ||||
\(871\) | −60239.6 | + | 10621.9i | −2.34345 | + | 0.413213i | ||||
\(872\) | 16292.4 | + | 11527.2i | 0.632719 | + | 0.447660i | ||||
\(873\) | 3309.34 | + | 26530.2i | 0.128298 | + | 1.02853i | ||||
\(874\) | 13545.4 | + | 5406.83i | 0.524234 | + | 0.209255i | ||||
\(875\) | 742.389 | + | 270.207i | 0.0286827 | + | 0.0104396i | ||||
\(876\) | −27805.3 | + | 2449.79i | −1.07243 | + | 0.0944872i | ||||
\(877\) | 16099.6 | + | 13509.2i | 0.619892 | + | 0.520151i | 0.897770 | − | 0.440465i | \(-0.145186\pi\) |
−0.277877 | + | 0.960617i | \(0.589631\pi\) | |||||||
\(878\) | −13479.3 | + | 21773.8i | −0.518115 | + | 0.836937i | ||||
\(879\) | −14098.4 | − | 12449.0i | −0.540987 | − | 0.477697i | ||||
\(880\) | 7812.39 | + | 33947.7i | 0.299268 | + | 1.30043i | ||||
\(881\) | −4945.44 | − | 2855.25i | −0.189122 | − | 0.109189i | 0.402450 | − | 0.915442i | \(-0.368159\pi\) |
−0.591571 | + | 0.806253i | \(0.701492\pi\) | |||||||
\(882\) | 22583.0 | − | 2114.93i | 0.862141 | − | 0.0807407i | ||||
\(883\) | −39962.5 | + | 23072.3i | −1.52304 | + | 0.879328i | −0.523411 | + | 0.852080i | \(0.675341\pi\) |
−0.999629 | + | 0.0272473i | \(0.991326\pi\) | |||||||
\(884\) | 16617.6 | − | 8277.95i | 0.632251 | − | 0.314952i | ||||
\(885\) | −4871.95 | − | 32385.7i | −0.185049 | − | 1.23010i | ||||
\(886\) | 21068.3 | − | 11315.7i | 0.798876 | − | 0.429071i | ||||
\(887\) | 6654.80 | − | 37741.3i | 0.251913 | − | 1.42867i | −0.551963 | − | 0.833869i | \(-0.686121\pi\) |
0.803875 | − | 0.594798i | \(-0.202768\pi\) | |||||||
\(888\) | 25514.6 | + | 3008.55i | 0.964204 | + | 0.113694i | ||||
\(889\) | 9592.69 | − | 8049.22i | 0.361899 | − | 0.303669i | ||||
\(890\) | −36810.0 | + | 5330.61i | −1.38638 | + | 0.200767i | ||||
\(891\) | 21068.4 | − | 14329.1i | 0.792166 | − | 0.538770i | ||||
\(892\) | 6932.27 | + | 23433.1i | 0.260213 | + | 0.879594i | ||||
\(893\) | 396.639 | + | 472.696i | 0.0148634 | + | 0.0177135i | ||||
\(894\) | −19429.4 | + | 45321.5i | −0.726865 | + | 1.69550i | ||||
\(895\) | −1083.86 | − | 191.114i | −0.0404799 | − | 0.00713770i | ||||
\(896\) | −9594.81 | − | 2095.56i | −0.357746 | − | 0.0781337i | ||||
\(897\) | −36368.4 | + | 5471.08i | −1.35374 | + | 0.203650i | ||||
\(898\) | 10403.4 | − | 3428.51i | 0.386600 | − | 0.127406i | ||||
\(899\) | 15530.3 | + | 26899.3i | 0.576158 | + | 0.997935i | ||||
\(900\) | −7171.18 | + | 24350.2i | −0.265599 | + | 0.901859i | ||||
\(901\) | 8967.58 | − | 15532.3i | 0.331580 | − | 0.574313i | ||||
\(902\) | 1322.90 | − | 6354.53i | 0.0488336 | − | 0.234570i | ||||
\(903\) | −2565.66 | + | 2905.58i | −0.0945513 | + | 0.107078i | ||||
\(904\) | −3728.63 | + | 13648.2i | −0.137182 | + | 0.502138i | ||||
\(905\) | 24335.1 | − | 29001.4i | 0.893839 | − | 1.06524i | ||||
\(906\) | 223.696 | − | 3994.97i | 0.00820288 | − | 0.146494i | ||||
\(907\) | 7928.03 | − | 21782.1i | 0.290238 | − | 0.797423i | −0.705793 | − | 0.708418i | \(-0.749409\pi\) |
0.996031 | − | 0.0890048i | \(-0.0283686\pi\) | |||||||
\(908\) | −7520.15 | + | 31275.4i | −0.274851 | + | 1.14307i | ||||
\(909\) | −9494.89 | − | 12549.8i | −0.346453 | − | 0.457922i | ||||
\(910\) | 14022.0 | + | 17793.2i | 0.510795 | + | 0.648174i | ||||
\(911\) | 1288.82 | + | 7309.26i | 0.0468722 | + | 0.265825i | 0.999233 | − | 0.0391468i | \(-0.0124640\pi\) |
−0.952361 | + | 0.304972i | \(0.901353\pi\) | |||||||
\(912\) | −18004.1 | + | 3667.88i | −0.653701 | + | 0.133175i | ||||
\(913\) | 23144.0 | − | 8423.72i | 0.838942 | − | 0.305350i | ||||
\(914\) | 1300.83 | − | 42333.5i | 0.0470761 | − | 1.53202i | ||||
\(915\) | −57112.9 | − | 1440.56i | −2.06349 | − | 0.0520475i | ||||
\(916\) | −3717.48 | + | 5612.23i | −0.134093 | + | 0.202438i | ||||
\(917\) | 13955.7i | 0.502572i | ||||||||
\(918\) | −2918.09 | − | 11786.7i | −0.104914 | − | 0.423769i | ||||
\(919\) | 4865.05i | 0.174628i | 0.996181 | + | 0.0873140i | \(0.0278284\pi\) | ||||
−0.996181 | + | 0.0873140i | \(0.972172\pi\) | |||||||
\(920\) | −29737.2 | − | 14044.1i | −1.06566 | − | 0.503281i | ||||
\(921\) | −14848.5 | − | 27284.8i | −0.531241 | − | 0.976183i | ||||
\(922\) | 9616.70 | + | 295.503i | 0.343502 | + | 0.0105552i | ||||
\(923\) | 75004.1 | − | 27299.2i | 2.67474 | − | 0.973527i | ||||
\(924\) | 5646.59 | − | 8074.68i | 0.201038 | − | 0.287487i | ||||
\(925\) | −4459.13 | − | 25289.0i | −0.158503 | − | 0.898915i | ||||
\(926\) | −16359.1 | + | 12891.8i | −0.580554 | + | 0.457507i | ||||
\(927\) | −31513.2 | + | 33924.4i | −1.11654 | + | 1.20197i | ||||
\(928\) | −40472.5 | + | 8013.64i | −1.43165 | + | 0.283471i | ||||
\(929\) | −450.474 | + | 1237.67i | −0.0159091 | + | 0.0437099i | −0.947393 | − | 0.320073i | \(-0.896293\pi\) |
0.931484 | + | 0.363783i | \(0.118515\pi\) | |||||||
\(930\) | −14060.8 | − | 27841.6i | −0.495777 | − | 0.981679i | ||||
\(931\) | 10548.1 | − | 12570.8i | 0.371322 | − | 0.442525i | ||||
\(932\) | −1538.49 | + | 3534.89i | −0.0540717 | + | 0.124237i | ||||
\(933\) | 1612.17 | + | 4802.91i | 0.0565703 | + | 0.168532i | ||||
\(934\) | −20960.3 | − | 4363.58i | −0.734306 | − | 0.152870i | ||||
\(935\) | −8327.74 | + | 14424.1i | −0.291279 | + | 0.504510i | ||||
\(936\) | 34523.8 | − | 30900.5i | 1.20560 | − | 1.07908i | ||||
\(937\) | −4419.09 | − | 7654.09i | −0.154072 | − | 0.266860i | 0.778649 | − | 0.627460i | \(-0.215905\pi\) |
−0.932721 | + | 0.360600i | \(0.882572\pi\) | |||||||
\(938\) | 4842.46 | + | 14693.9i | 0.168563 | + | 0.511484i | ||||
\(939\) | −11604.4 | − | 14559.9i | −0.403296 | − | 0.506012i | ||||
\(940\) | −827.244 | − | 1118.78i | −0.0287040 | − | 0.0388196i | ||||
\(941\) | 4727.63 | + | 833.609i | 0.163779 | + | 0.0288787i | 0.254936 | − | 0.966958i | \(-0.417945\pi\) |
−0.0911571 | + | 0.995837i | \(0.529057\pi\) | |||||||
\(942\) | −18382.0 | + | 13749.0i | −0.635794 | + | 0.475549i | ||||
\(943\) | 3938.83 | + | 4694.12i | 0.136019 | + | 0.162101i | ||||
\(944\) | −21733.4 | + | 14092.2i | −0.749323 | + | 0.485870i | ||||
\(945\) | 13355.1 | − | 6417.44i | 0.459726 | − | 0.220910i | ||||
\(946\) | −1558.47 | − | 10761.8i | −0.0535625 | − | 0.369871i | ||||
\(947\) | 10611.9 | − | 8904.47i | 0.364141 | − | 0.305550i | −0.442298 | − | 0.896868i | \(-0.645837\pi\) |
0.806439 | + | 0.591318i | \(0.201392\pi\) | |||||||
\(948\) | 44669.7 | − | 11998.5i | 1.53038 | − | 0.411069i | ||||
\(949\) | 8842.90 | − | 50150.6i | 0.302479 | − | 1.71544i | ||||
\(950\) | 8689.75 | + | 16179.2i | 0.296771 | + | 0.552551i | ||||
\(951\) | 4443.30 | + | 1745.33i | 0.151508 | + | 0.0595121i | ||||
\(952\) | −2674.48 | − | 3859.57i | −0.0910508 | − | 0.131397i | ||||
\(953\) | 679.557 | − | 392.343i | 0.0230987 | − | 0.0133360i | −0.488406 | − | 0.872616i | \(-0.662422\pi\) |
0.511505 | + | 0.859280i | \(0.329088\pi\) | |||||||
\(954\) | 11320.3 | − | 43305.2i | 0.384182 | − | 1.46966i | ||||
\(955\) | −9455.77 | − | 5459.29i | −0.320400 | − | 0.184983i | ||||
\(956\) | −19512.8 | − | 1200.32i | −0.660136 | − | 0.0406078i | ||||
\(957\) | 8213.47 | − | 40570.3i | 0.277434 | − | 1.37038i | ||||
\(958\) | −3094.56 | − | 1915.72i | −0.104364 | − | 0.0646078i | ||||
\(959\) | 2610.49 | + | 2190.46i | 0.0879011 | + | 0.0737578i | ||||
\(960\) | 41028.3 | − | 5762.44i | 1.37936 | − | 0.193731i | ||||
\(961\) | −10542.7 | − | 3837.25i | −0.353890 | − | 0.128806i | ||||
\(962\) | −17376.0 | + | 43531.3i | −0.582356 | + | 1.45894i | ||||
\(963\) | −17618.6 | − | 34414.6i | −0.589566 | − | 1.15160i | ||||
\(964\) | 644.605 | + | 612.136i | 0.0215366 | + | 0.0204518i | ||||
\(965\) | −21306.1 | + | 3756.84i | −0.710744 | + | 0.125323i | ||||
\(966\) | 2687.83 | + | 8905.26i | 0.0895232 | + | 0.296607i | ||||
\(967\) | 7443.38 | + | 20450.5i | 0.247532 | + | 0.680088i | 0.999775 | + | 0.0212024i | \(0.00674944\pi\) |
−0.752244 | + | 0.658885i | \(0.771028\pi\) | |||||||
\(968\) | −629.043 | − | 2394.38i | −0.0208866 | − | 0.0795025i | ||||
\(969\) | −7494.87 | − | 4582.94i | −0.248472 | − | 0.151935i | ||||
\(970\) | −32535.1 | − | 29048.9i | −1.07695 | − | 0.961551i | ||||
\(971\) | 8900.57 | 0.294164 | 0.147082 | − | 0.989124i | \(-0.453012\pi\) | ||||
0.147082 | + | 0.989124i | \(0.453012\pi\) | |||||||
\(972\) | −14809.7 | − | 26438.6i | −0.488706 | − | 0.872448i | ||||
\(973\) | −8322.06 | −0.274196 | ||||||||
\(974\) | −9527.13 | − | 8506.28i | −0.313418 | − | 0.279835i | ||||
\(975\) | −39509.7 | − | 24159.3i | −1.29777 | − | 0.793556i | ||||
\(976\) | 17626.2 | + | 41605.6i | 0.578073 | + | 1.36451i | ||||
\(977\) | 2476.56 | + | 6804.30i | 0.0810975 | + | 0.222814i | 0.973614 | − | 0.228201i | \(-0.0732844\pi\) |
−0.892517 | + | 0.451015i | \(0.851062\pi\) | |||||||
\(978\) | −7129.48 | − | 23621.3i | −0.233104 | − | 0.772316i | ||||
\(979\) | −29064.9 | + | 5124.93i | −0.948844 | + | 0.167307i | ||||
\(980\) | −25480.3 | + | 26831.8i | −0.830549 | + | 0.874602i | ||||
\(981\) | 10852.4 | + | 21198.2i | 0.353202 | + | 0.689913i | ||||
\(982\) | 22774.5 | − | 57055.8i | 0.740086 | − | 1.85410i | ||||
\(983\) | −11311.7 | − | 4117.13i | −0.367027 | − | 0.133587i | 0.151921 | − | 0.988393i | \(-0.451454\pi\) |
−0.518948 | + | 0.854806i | \(0.673676\pi\) | |||||||
\(984\) | −7393.21 | − | 2221.58i | −0.239519 | − | 0.0719731i | ||||
\(985\) | 18831.9 | + | 15801.8i | 0.609171 | + | 0.511155i | ||||
\(986\) | −16772.7 | − | 10383.3i | −0.541736 | − | 0.335368i | ||||
\(987\) | −78.0920 | + | 385.734i | −0.00251844 | + | 0.0124398i | ||||
\(988\) | 2058.14 | − | 33458.0i | 0.0662735 | − | 1.07737i | ||||
\(989\) | 8890.53 | + | 5132.95i | 0.285847 | + | 0.165034i | ||||
\(990\) | −10512.6 | + | 40215.3i | −0.337488 | + | 1.29104i | ||||
\(991\) | 32233.8 | − | 18610.2i | 1.03324 | − | 0.596541i | 0.115328 | − | 0.993327i | \(-0.463208\pi\) |
0.917911 | + | 0.396786i | \(0.129875\pi\) | |||||||
\(992\) | −15457.7 | + | 19225.4i | −0.494740 | + | 0.615329i | ||||
\(993\) | 19924.7 | + | 7826.41i | 0.636748 | + | 0.250114i | ||||
\(994\) | −9552.27 | − | 17785.1i | −0.304809 | − | 0.567515i | ||||
\(995\) | −3119.30 | + | 17690.5i | −0.0993855 | + | 0.563643i | ||||
\(996\) | −7598.85 | − | 28290.0i | −0.241746 | − | 0.900004i | ||||
\(997\) | −8654.75 | + | 7262.20i | −0.274924 | + | 0.230688i | −0.769816 | − | 0.638266i | \(-0.779652\pi\) |
0.494892 | + | 0.868954i | \(0.335208\pi\) | |||||||
\(998\) | 803.196 | + | 5546.39i | 0.0254757 | + | 0.175920i | ||||
\(999\) | 25314.4 | + | 17290.7i | 0.801715 | + | 0.547602i |
(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 | 108.4.l.a.59.15 | yes | 312 | |
4.3 | odd | 2 | inner | 108.4.l.a.59.45 | yes | 312 | |
27.11 | odd | 18 | inner | 108.4.l.a.11.45 | yes | 312 | |
108.11 | even | 18 | inner | 108.4.l.a.11.15 | ✓ | 312 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
108.4.l.a.11.15 | ✓ | 312 | 108.11 | even | 18 | inner | |
108.4.l.a.11.45 | yes | 312 | 27.11 | odd | 18 | inner | |
108.4.l.a.59.15 | yes | 312 | 1.1 | even | 1 | trivial | |
108.4.l.a.59.45 | yes | 312 | 4.3 | odd | 2 | inner |