Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [69,4,Mod(4,69)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(69, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("69.4");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 69 = 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 69.e (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.07113179040\) |
Analytic rank: | \(0\) |
Dimension: | \(60\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 13.1 | ||
Character | \(\chi\) | \(=\) | 69.13 |
Dual form | 69.4.e.a.16.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/69\mathbb{Z}\right)^\times\).
\(n\) | \(28\) | \(47\) |
\(\chi(n)\) | \(e\left(\frac{7}{11}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.15951 | − | 3.64626i | −1.11705 | − | 1.28915i | −0.953092 | − | 0.302682i | \(-0.902118\pi\) |
−0.163962 | − | 0.986467i | \(-0.552428\pi\) | |||||||
\(3\) | 2.52376 | + | 1.62192i | 0.485698 | + | 0.312139i | ||||
\(4\) | −2.17425 | + | 15.1222i | −0.271781 | + | 1.89028i | ||||
\(5\) | 0.670517 | − | 1.46823i | 0.0599728 | − | 0.131322i | −0.877273 | − | 0.479992i | \(-0.840639\pi\) |
0.937245 | + | 0.348670i | \(0.113367\pi\) | |||||||
\(6\) | −2.05988 | − | 14.3268i | −0.140157 | − | 0.974813i | ||||
\(7\) | 29.0868 | + | 8.54065i | 1.57054 | + | 0.461152i | 0.947158 | − | 0.320767i | \(-0.103941\pi\) |
0.623380 | + | 0.781919i | \(0.285759\pi\) | |||||||
\(8\) | 29.5387 | − | 18.9834i | 1.30544 | − | 0.838956i | ||||
\(9\) | 3.73874 | + | 8.18669i | 0.138472 | + | 0.303211i | ||||
\(10\) | −7.47204 | + | 2.19399i | −0.236287 | + | 0.0693800i | ||||
\(11\) | 26.6387 | − | 30.7427i | 0.730170 | − | 0.842661i | −0.262321 | − | 0.964981i | \(-0.584488\pi\) |
0.992491 | + | 0.122319i | \(0.0390333\pi\) | |||||||
\(12\) | −30.0143 | + | 34.6384i | −0.722032 | + | 0.833270i | ||||
\(13\) | −22.8580 | + | 6.71171i | −0.487666 | + | 0.143192i | −0.516317 | − | 0.856398i | \(-0.672697\pi\) |
0.0286503 | + | 0.999589i | \(0.490879\pi\) | |||||||
\(14\) | −60.7584 | − | 133.042i | −1.15988 | − | 2.53979i | ||||
\(15\) | 4.07357 | − | 2.61793i | 0.0701195 | − | 0.0450630i | ||||
\(16\) | −45.2754 | − | 13.2941i | −0.707429 | − | 0.207720i | ||||
\(17\) | −4.41710 | − | 30.7216i | −0.0630179 | − | 0.438299i | −0.996765 | − | 0.0803666i | \(-0.974391\pi\) |
0.933747 | − | 0.357932i | \(-0.116518\pi\) | |||||||
\(18\) | 18.0383 | − | 39.4983i | 0.236203 | − | 0.517213i | ||||
\(19\) | 11.9295 | − | 82.9716i | 0.144043 | − | 1.00184i | −0.781691 | − | 0.623666i | \(-0.785643\pi\) |
0.925734 | − | 0.378175i | \(-0.123448\pi\) | |||||||
\(20\) | 20.7450 | + | 13.3320i | 0.231936 | + | 0.149056i | ||||
\(21\) | 59.5558 | + | 68.7311i | 0.618864 | + | 0.714207i | ||||
\(22\) | −196.261 | −1.90196 | ||||||||
\(23\) | 109.299 | + | 14.8581i | 0.990886 | + | 0.134701i | ||||
\(24\) | 105.338 | 0.895921 | ||||||||
\(25\) | 80.1515 | + | 92.4998i | 0.641212 | + | 0.739998i | ||||
\(26\) | 96.6926 | + | 62.1406i | 0.729345 | + | 0.468722i | ||||
\(27\) | −3.84250 | + | 26.7252i | −0.0273885 | + | 0.190491i | ||||
\(28\) | −192.395 | + | 421.287i | −1.29855 | + | 2.84342i | ||||
\(29\) | 28.5704 | + | 198.712i | 0.182945 | + | 1.27241i | 0.849754 | + | 0.527179i | \(0.176750\pi\) |
−0.666810 | + | 0.745228i | \(0.732341\pi\) | |||||||
\(30\) | −22.4161 | − | 6.58197i | −0.136420 | − | 0.0400566i | ||||
\(31\) | 20.6522 | − | 13.2724i | 0.119653 | − | 0.0768963i | −0.479445 | − | 0.877572i | \(-0.659162\pi\) |
0.599098 | + | 0.800675i | \(0.295526\pi\) | |||||||
\(32\) | −22.1167 | − | 48.4288i | −0.122179 | − | 0.267534i | ||||
\(33\) | 117.092 | − | 34.3813i | 0.617670 | − | 0.181364i | ||||
\(34\) | −98.0632 | + | 113.171i | −0.494638 | + | 0.570843i | ||||
\(35\) | 32.0428 | − | 36.9793i | 0.154749 | − | 0.178590i | ||||
\(36\) | −131.930 | + | 38.7381i | −0.610786 | + | 0.179343i | ||||
\(37\) | −111.083 | − | 243.238i | −0.493567 | − | 1.08076i | −0.978507 | − | 0.206213i | \(-0.933886\pi\) |
0.484940 | − | 0.874547i | \(-0.338841\pi\) | |||||||
\(38\) | −340.228 | + | 218.651i | −1.45243 | + | 0.933418i | ||||
\(39\) | −68.5740 | − | 20.1351i | −0.281554 | − | 0.0826718i | ||||
\(40\) | −8.06571 | − | 56.0983i | −0.0318825 | − | 0.221748i | ||||
\(41\) | 21.6288 | − | 47.3605i | 0.0823867 | − | 0.180402i | −0.863955 | − | 0.503568i | \(-0.832020\pi\) |
0.946342 | + | 0.323167i | \(0.104747\pi\) | |||||||
\(42\) | 62.4447 | − | 434.312i | 0.229415 | − | 1.59562i | ||||
\(43\) | 339.120 | + | 217.939i | 1.20268 | + | 0.772917i | 0.979418 | − | 0.201841i | \(-0.0646925\pi\) |
0.223264 | + | 0.974758i | \(0.428329\pi\) | |||||||
\(44\) | 406.979 | + | 469.678i | 1.39442 | + | 1.60924i | ||||
\(45\) | 14.5268 | 0.0481228 | ||||||||
\(46\) | −291.154 | − | 445.477i | −0.933223 | − | 1.42787i | ||||
\(47\) | −508.129 | −1.57698 | −0.788491 | − | 0.615046i | \(-0.789138\pi\) | ||||
−0.788491 | + | 0.615046i | \(0.789138\pi\) | |||||||
\(48\) | −92.7024 | − | 106.984i | −0.278759 | − | 0.321705i | ||||
\(49\) | 484.548 | + | 311.400i | 1.41268 | + | 0.907872i | ||||
\(50\) | 84.0394 | − | 584.507i | 0.237699 | − | 1.65324i | ||||
\(51\) | 38.6804 | − | 84.6982i | 0.106203 | − | 0.232551i | ||||
\(52\) | −51.7970 | − | 360.256i | −0.138134 | − | 0.960741i | ||||
\(53\) | −327.491 | − | 96.1600i | −0.848761 | − | 0.249219i | −0.171703 | − | 0.985149i | \(-0.554927\pi\) |
−0.677058 | + | 0.735930i | \(0.736745\pi\) | |||||||
\(54\) | 109.587 | − | 70.4276i | 0.276166 | − | 0.177481i | ||||
\(55\) | −27.2756 | − | 59.7252i | −0.0668697 | − | 0.146424i | ||||
\(56\) | 1021.32 | − | 299.886i | 2.43713 | − | 0.715606i | ||||
\(57\) | 164.681 | − | 190.052i | 0.382675 | − | 0.441631i | ||||
\(58\) | 634.286 | − | 732.005i | 1.43596 | − | 1.65719i | ||||
\(59\) | −764.220 | + | 224.395i | −1.68632 | + | 0.495149i | −0.977623 | − | 0.210363i | \(-0.932535\pi\) |
−0.708698 | + | 0.705512i | \(0.750717\pi\) | |||||||
\(60\) | 30.7319 | + | 67.2934i | 0.0661245 | + | 0.144792i | ||||
\(61\) | −635.745 | + | 408.568i | −1.33441 | + | 0.857571i | −0.996499 | − | 0.0836084i | \(-0.973356\pi\) |
−0.337908 | + | 0.941179i | \(0.609719\pi\) | |||||||
\(62\) | −113.645 | − | 33.3693i | −0.232790 | − | 0.0683532i | ||||
\(63\) | 38.8281 | + | 270.056i | 0.0776490 | + | 0.540060i | ||||
\(64\) | −263.523 | + | 577.035i | −0.514694 | + | 1.12702i | ||||
\(65\) | −5.47235 | + | 38.0610i | −0.0104425 | + | 0.0726290i | ||||
\(66\) | −495.316 | − | 318.320i | −0.923776 | − | 0.593675i | ||||
\(67\) | −436.200 | − | 503.402i | −0.795378 | − | 0.917915i | 0.202741 | − | 0.979232i | \(-0.435015\pi\) |
−0.998118 | + | 0.0613177i | \(0.980470\pi\) | |||||||
\(68\) | 474.182 | 0.845633 | ||||||||
\(69\) | 251.745 | + | 214.773i | 0.439226 | + | 0.374719i | ||||
\(70\) | −236.076 | −0.403092 | ||||||||
\(71\) | 416.265 | + | 480.395i | 0.695796 | + | 0.802992i | 0.988178 | − | 0.153310i | \(-0.0489932\pi\) |
−0.292382 | + | 0.956302i | \(0.594448\pi\) | |||||||
\(72\) | 265.849 | + | 170.851i | 0.435147 | + | 0.279652i | ||||
\(73\) | 39.1045 | − | 271.978i | 0.0626964 | − | 0.436063i | −0.934161 | − | 0.356851i | \(-0.883850\pi\) |
0.996858 | − | 0.0792123i | \(-0.0252405\pi\) | |||||||
\(74\) | −535.943 | + | 1173.55i | −0.841921 | + | 1.84355i | ||||
\(75\) | 52.2558 | + | 363.447i | 0.0804530 | + | 0.559563i | ||||
\(76\) | 1228.78 | + | 360.801i | 1.85461 | + | 0.544562i | ||||
\(77\) | 1037.40 | − | 666.694i | 1.53536 | − | 0.986713i | ||||
\(78\) | 143.242 | + | 313.656i | 0.207935 | + | 0.455314i | ||||
\(79\) | 632.639 | − | 185.760i | 0.900980 | − | 0.264552i | 0.201741 | − | 0.979439i | \(-0.435340\pi\) |
0.699240 | + | 0.714887i | \(0.253522\pi\) | |||||||
\(80\) | −49.8766 | + | 57.5607i | −0.0697047 | + | 0.0804435i | ||||
\(81\) | −53.0437 | + | 61.2157i | −0.0727623 | + | 0.0839722i | ||||
\(82\) | −241.025 | + | 70.7714i | −0.324595 | + | 0.0953097i | ||||
\(83\) | 146.956 | + | 321.789i | 0.194343 | + | 0.425553i | 0.981568 | − | 0.191114i | \(-0.0612099\pi\) |
−0.787224 | + | 0.616667i | \(0.788483\pi\) | |||||||
\(84\) | −1168.85 | + | 751.177i | −1.51824 | + | 0.975716i | ||||
\(85\) | −48.0680 | − | 14.1140i | −0.0613378 | − | 0.0180104i | ||||
\(86\) | −276.788 | − | 1925.10i | −0.347056 | − | 2.41383i | ||||
\(87\) | −250.190 | + | 547.839i | −0.308312 | + | 0.675110i | ||||
\(88\) | 203.273 | − | 1413.79i | 0.246238 | − | 1.71262i | ||||
\(89\) | −960.119 | − | 617.031i | −1.14351 | − | 0.734890i | −0.175174 | − | 0.984538i | \(-0.556049\pi\) |
−0.968337 | + | 0.249648i | \(0.919685\pi\) | |||||||
\(90\) | −45.8975 | − | 52.9685i | −0.0537558 | − | 0.0620375i | ||||
\(91\) | −722.188 | −0.831932 | ||||||||
\(92\) | −462.330 | + | 1620.53i | −0.523927 | + | 1.83644i | ||||
\(93\) | 73.6479 | 0.0821176 | ||||||||
\(94\) | 1605.44 | + | 1852.77i | 1.76157 | + | 2.03297i | ||||
\(95\) | −113.822 | − | 73.1491i | −0.122925 | − | 0.0789993i | ||||
\(96\) | 22.7305 | − | 158.094i | 0.0241659 | − | 0.168077i | ||||
\(97\) | 233.897 | − | 512.163i | 0.244831 | − | 0.536106i | −0.746824 | − | 0.665021i | \(-0.768422\pi\) |
0.991656 | + | 0.128916i | \(0.0411497\pi\) | |||||||
\(98\) | −395.485 | − | 2750.66i | −0.407654 | − | 2.83529i | ||||
\(99\) | 351.276 | + | 103.144i | 0.356612 | + | 0.104711i | ||||
\(100\) | −1573.07 | + | 1010.95i | −1.57307 | + | 1.01095i | ||||
\(101\) | 21.8744 | + | 47.8983i | 0.0215503 | + | 0.0471887i | 0.920101 | − | 0.391681i | \(-0.128106\pi\) |
−0.898551 | + | 0.438870i | \(0.855379\pi\) | |||||||
\(102\) | −431.043 | + | 126.566i | −0.418427 | + | 0.122861i | ||||
\(103\) | 371.508 | − | 428.743i | 0.355396 | − | 0.410148i | −0.549696 | − | 0.835365i | \(-0.685256\pi\) |
0.905092 | + | 0.425216i | \(0.139802\pi\) | |||||||
\(104\) | −547.785 | + | 632.178i | −0.516488 | + | 0.596059i | ||||
\(105\) | 140.846 | − | 41.3561i | 0.130906 | − | 0.0384375i | ||||
\(106\) | 684.084 | + | 1497.94i | 0.626832 | + | 1.37257i | ||||
\(107\) | −718.595 | + | 461.813i | −0.649245 | + | 0.417245i | −0.823390 | − | 0.567475i | \(-0.807920\pi\) |
0.174145 | + | 0.984720i | \(0.444284\pi\) | |||||||
\(108\) | −395.789 | − | 116.214i | −0.352637 | − | 0.103544i | ||||
\(109\) | −137.187 | − | 954.153i | −0.120551 | − | 0.838452i | −0.956934 | − | 0.290306i | \(-0.906243\pi\) |
0.836383 | − | 0.548146i | \(-0.184666\pi\) | |||||||
\(110\) | −131.596 | + | 288.156i | −0.114066 | + | 0.249769i | ||||
\(111\) | 114.166 | − | 794.044i | 0.0976233 | − | 0.678985i | ||||
\(112\) | −1203.38 | − | 773.363i | −1.01525 | − | 0.652464i | ||||
\(113\) | 259.571 | + | 299.561i | 0.216092 | + | 0.249383i | 0.853438 | − | 0.521194i | \(-0.174513\pi\) |
−0.637346 | + | 0.770578i | \(0.719968\pi\) | |||||||
\(114\) | −1213.29 | −0.996797 | ||||||||
\(115\) | 95.1018 | − | 150.513i | 0.0771155 | − | 0.122047i | ||||
\(116\) | −3067.08 | −2.45492 | ||||||||
\(117\) | −140.407 | − | 162.038i | −0.110945 | − | 0.128038i | ||||
\(118\) | 3232.76 | + | 2077.57i | 2.52203 | + | 1.62081i | ||||
\(119\) | 133.903 | − | 931.318i | 0.103150 | − | 0.717426i | ||||
\(120\) | 70.6311 | − | 154.661i | 0.0537309 | − | 0.117654i | ||||
\(121\) | −46.0722 | − | 320.439i | −0.0346147 | − | 0.240751i | ||||
\(122\) | 3498.39 | + | 1027.22i | 2.59614 | + | 0.762296i | ||||
\(123\) | 131.401 | − | 84.4463i | 0.0963255 | − | 0.0619046i | ||||
\(124\) | 155.804 | + | 341.164i | 0.112836 | + | 0.247076i | ||||
\(125\) | 383.142 | − | 112.501i | 0.274154 | − | 0.0804989i | ||||
\(126\) | 862.016 | − | 994.820i | 0.609480 | − | 0.703378i | ||||
\(127\) | −1571.96 | + | 1814.14i | −1.09834 | + | 1.26755i | −0.137486 | + | 0.990504i | \(0.543902\pi\) |
−0.960856 | + | 0.277050i | \(0.910643\pi\) | |||||||
\(128\) | 2527.96 | − | 742.276i | 1.74564 | − | 0.512567i | ||||
\(129\) | 502.377 | + | 1100.05i | 0.342883 | + | 0.750808i | ||||
\(130\) | 156.070 | − | 100.300i | 0.105294 | − | 0.0676686i | ||||
\(131\) | 277.661 | + | 81.5287i | 0.185186 | + | 0.0543756i | 0.373011 | − | 0.927827i | \(-0.378325\pi\) |
−0.187825 | + | 0.982203i | \(0.560144\pi\) | |||||||
\(132\) | 265.335 | + | 1845.44i | 0.174958 | + | 1.21686i | ||||
\(133\) | 1055.62 | − | 2311.49i | 0.688226 | − | 1.50700i | ||||
\(134\) | −457.359 | + | 3181.00i | −0.294849 | + | 2.05072i | ||||
\(135\) | 36.6622 | + | 23.5613i | 0.0233732 | + | 0.0150210i | ||||
\(136\) | −713.676 | − | 823.626i | −0.449980 | − | 0.519304i | ||||
\(137\) | 1280.78 | 0.798721 | 0.399360 | − | 0.916794i | \(-0.369232\pi\) | ||||
0.399360 | + | 0.916794i | \(0.369232\pi\) | |||||||
\(138\) | −12.2735 | − | 1596.51i | −0.00757092 | − | 0.984808i | ||||
\(139\) | −1249.21 | −0.762275 | −0.381138 | − | 0.924518i | \(-0.624468\pi\) | ||||
−0.381138 | + | 0.924518i | \(0.624468\pi\) | |||||||
\(140\) | 489.540 | + | 564.960i | 0.295527 | + | 0.341056i | ||||
\(141\) | −1282.40 | − | 824.145i | −0.765937 | − | 0.492238i | ||||
\(142\) | 436.457 | − | 3035.62i | 0.257934 | − | 1.79397i | ||||
\(143\) | −402.571 | + | 881.508i | −0.235417 | + | 0.515492i | ||||
\(144\) | −60.4385 | − | 420.359i | −0.0349760 | − | 0.243263i | ||||
\(145\) | 310.910 | + | 91.2916i | 0.178067 | + | 0.0522852i | ||||
\(146\) | −1115.25 | + | 716.730i | −0.632186 | + | 0.406281i | ||||
\(147\) | 717.817 | + | 1571.80i | 0.402752 | + | 0.881903i | ||||
\(148\) | 3919.82 | − | 1150.96i | 2.17708 | − | 0.639248i | ||||
\(149\) | −2130.22 | + | 2458.41i | −1.17124 | + | 1.35168i | −0.247394 | + | 0.968915i | \(0.579574\pi\) |
−0.923845 | + | 0.382767i | \(0.874971\pi\) | |||||||
\(150\) | 1160.12 | − | 1338.85i | 0.631490 | − | 0.728778i | ||||
\(151\) | −185.812 | + | 54.5592i | −0.100140 | + | 0.0294037i | −0.331419 | − | 0.943484i | \(-0.607527\pi\) |
0.231279 | + | 0.972888i | \(0.425709\pi\) | |||||||
\(152\) | −1222.70 | − | 2677.34i | −0.652461 | − | 1.42869i | ||||
\(153\) | 234.994 | − | 151.021i | 0.124171 | − | 0.0797997i | ||||
\(154\) | −5708.60 | − | 1676.20i | −2.98709 | − | 0.877090i | ||||
\(155\) | −5.63919 | − | 39.2214i | −0.00292226 | − | 0.0203248i | ||||
\(156\) | 453.584 | − | 993.211i | 0.232794 | − | 0.509747i | ||||
\(157\) | 349.562 | − | 2431.26i | 0.177695 | − | 1.23589i | −0.684385 | − | 0.729121i | \(-0.739929\pi\) |
0.862080 | − | 0.506773i | \(-0.169162\pi\) | |||||||
\(158\) | −2676.15 | − | 1719.86i | −1.34749 | − | 0.865979i | ||||
\(159\) | −670.544 | − | 773.849i | −0.334450 | − | 0.385976i | ||||
\(160\) | −85.9340 | −0.0424605 | ||||||||
\(161\) | 3052.25 | + | 1365.66i | 1.49411 | + | 0.668503i | ||||
\(162\) | 390.801 | 0.189532 | ||||||||
\(163\) | −2529.61 | − | 2919.32i | −1.21555 | − | 1.40282i | −0.889170 | − | 0.457576i | \(-0.848718\pi\) |
−0.326377 | − | 0.945240i | \(-0.605828\pi\) | |||||||
\(164\) | 669.169 | + | 430.049i | 0.318618 | + | 0.204763i | ||||
\(165\) | 28.0326 | − | 194.971i | 0.0132263 | − | 0.0919907i | ||||
\(166\) | 709.018 | − | 1552.53i | 0.331509 | − | 0.725903i | ||||
\(167\) | −127.427 | − | 886.271i | −0.0590453 | − | 0.410669i | −0.997812 | − | 0.0661154i | \(-0.978939\pi\) |
0.938767 | − | 0.344553i | \(-0.111970\pi\) | |||||||
\(168\) | 3063.95 | + | 899.658i | 1.40708 | + | 0.413155i | ||||
\(169\) | −1370.79 | + | 880.956i | −0.623939 | + | 0.400981i | ||||
\(170\) | 100.408 | + | 219.862i | 0.0452995 | + | 0.0991921i | ||||
\(171\) | 723.864 | − | 212.546i | 0.323715 | − | 0.0950513i | ||||
\(172\) | −4033.05 | + | 4654.39i | −1.78789 | + | 2.06334i | ||||
\(173\) | 2601.67 | − | 3002.49i | 1.14336 | − | 1.31951i | 0.203060 | − | 0.979166i | \(-0.434911\pi\) |
0.940301 | − | 0.340343i | \(-0.110543\pi\) | |||||||
\(174\) | 2788.04 | − | 818.643i | 1.21472 | − | 0.356673i | ||||
\(175\) | 1541.34 | + | 3375.07i | 0.665797 | + | 1.45789i | ||||
\(176\) | −1614.77 | + | 1037.75i | −0.691581 | + | 0.444452i | ||||
\(177\) | −2292.66 | − | 673.186i | −0.973598 | − | 0.285874i | ||||
\(178\) | 783.644 | + | 5450.36i | 0.329981 | + | 2.29507i | ||||
\(179\) | 332.116 | − | 727.233i | 0.138679 | − | 0.303664i | −0.827531 | − | 0.561419i | \(-0.810255\pi\) |
0.966210 | + | 0.257755i | \(0.0829828\pi\) | |||||||
\(180\) | −31.5848 | + | 219.677i | −0.0130789 | + | 0.0909654i | ||||
\(181\) | 2288.48 | + | 1470.72i | 0.939786 | + | 0.603964i | 0.918334 | − | 0.395806i | \(-0.129535\pi\) |
0.0214518 | + | 0.999770i | \(0.493171\pi\) | |||||||
\(182\) | 2281.76 | + | 2633.29i | 0.929313 | + | 1.07248i | ||||
\(183\) | −2267.13 | −0.915800 | ||||||||
\(184\) | 3510.61 | − | 1635.97i | 1.40655 | − | 0.655465i | ||||
\(185\) | −431.612 | −0.171528 | ||||||||
\(186\) | −232.691 | − | 268.540i | −0.0917298 | − | 0.105862i | ||||
\(187\) | −1062.13 | − | 682.590i | −0.415351 | − | 0.266930i | ||||
\(188\) | 1104.80 | − | 7684.03i | 0.428593 | − | 2.98093i | ||||
\(189\) | −340.016 | + | 744.532i | −0.130860 | + | 0.286544i | ||||
\(190\) | 92.9010 | + | 646.140i | 0.0354723 | + | 0.246716i | ||||
\(191\) | 1245.31 | + | 365.656i | 0.471767 | + | 0.138523i | 0.508970 | − | 0.860785i | \(-0.330027\pi\) |
−0.0372028 | + | 0.999308i | \(0.511845\pi\) | |||||||
\(192\) | −1600.98 | + | 1028.89i | −0.601774 | + | 0.386736i | ||||
\(193\) | −1247.09 | − | 2730.74i | −0.465115 | − | 1.01846i | −0.986292 | − | 0.165011i | \(-0.947234\pi\) |
0.521176 | − | 0.853449i | \(-0.325493\pi\) | |||||||
\(194\) | −2606.48 | + | 765.331i | −0.964609 | + | 0.283235i | ||||
\(195\) | −75.5429 | + | 87.1812i | −0.0277423 | + | 0.0320163i | ||||
\(196\) | −5762.59 | + | 6650.38i | −2.10007 | + | 2.42361i | ||||
\(197\) | −277.270 | + | 81.4138i | −0.100278 | + | 0.0294441i | −0.331486 | − | 0.943460i | \(-0.607550\pi\) |
0.231209 | + | 0.972904i | \(0.425732\pi\) | |||||||
\(198\) | −733.768 | − | 1606.73i | −0.263367 | − | 0.576693i | ||||
\(199\) | −2404.01 | + | 1544.96i | −0.856361 | + | 0.550350i | −0.893553 | − | 0.448958i | \(-0.851795\pi\) |
0.0371918 | + | 0.999308i | \(0.488159\pi\) | |||||||
\(200\) | 4123.53 | + | 1210.78i | 1.45789 | + | 0.428075i | ||||
\(201\) | −284.386 | − | 1977.95i | −0.0997962 | − | 0.694098i | ||||
\(202\) | 105.537 | − | 231.095i | 0.0367603 | − | 0.0804939i | ||||
\(203\) | −866.104 | + | 6023.89i | −0.299451 | + | 2.08273i | ||||
\(204\) | 1196.72 | + | 769.087i | 0.410722 | + | 0.263955i | ||||
\(205\) | −55.0335 | − | 63.5120i | −0.0187498 | − | 0.0216384i | ||||
\(206\) | −2737.09 | −0.925738 | ||||||||
\(207\) | 287.001 | + | 950.346i | 0.0963668 | + | 0.319100i | ||||
\(208\) | 1124.13 | 0.374733 | ||||||||
\(209\) | −2232.98 | − | 2577.00i | −0.739037 | − | 0.852894i | ||||
\(210\) | −595.799 | − | 382.897i | −0.195781 | − | 0.125821i | ||||
\(211\) | −755.930 | + | 5257.61i | −0.246637 | + | 1.71540i | 0.370747 | + | 0.928734i | \(0.379102\pi\) |
−0.617384 | + | 0.786662i | \(0.711807\pi\) | |||||||
\(212\) | 2166.20 | − | 4743.31i | 0.701769 | − | 1.53666i | ||||
\(213\) | 271.389 | + | 1887.55i | 0.0873017 | + | 0.607197i | ||||
\(214\) | 3954.30 | + | 1161.09i | 1.26313 | + | 0.370889i | ||||
\(215\) | 547.370 | − | 351.773i | 0.173629 | − | 0.111585i | ||||
\(216\) | 393.832 | + | 862.372i | 0.124060 | + | 0.271653i | ||||
\(217\) | 714.061 | − | 209.667i | 0.223381 | − | 0.0655905i | ||||
\(218\) | −3045.65 | + | 3514.87i | −0.946228 | + | 1.09200i | ||||
\(219\) | 539.818 | − | 622.983i | 0.166564 | − | 0.192225i | ||||
\(220\) | 962.480 | − | 282.610i | 0.294956 | − | 0.0866070i | ||||
\(221\) | 307.161 | + | 672.588i | 0.0934926 | + | 0.204720i | ||||
\(222\) | −3256.00 | + | 2092.51i | −0.984363 | + | 0.632612i | ||||
\(223\) | −3227.59 | − | 947.707i | −0.969218 | − | 0.284588i | −0.241452 | − | 0.970413i | \(-0.577624\pi\) |
−0.727767 | + | 0.685825i | \(0.759442\pi\) | |||||||
\(224\) | −229.690 | − | 1597.53i | −0.0685125 | − | 0.476515i | ||||
\(225\) | −457.601 | + | 1002.01i | −0.135586 | + | 0.296891i | ||||
\(226\) | 272.162 | − | 1892.93i | 0.0801060 | − | 0.557149i | ||||
\(227\) | 2000.03 | + | 1285.34i | 0.584788 | + | 0.375821i | 0.799328 | − | 0.600895i | \(-0.205189\pi\) |
−0.214540 | + | 0.976715i | \(0.568825\pi\) | |||||||
\(228\) | 2515.94 | + | 2903.55i | 0.730800 | + | 0.843389i | ||||
\(229\) | 4955.01 | 1.42985 | 0.714926 | − | 0.699200i | \(-0.246460\pi\) | ||||
0.714926 | + | 0.699200i | \(0.246460\pi\) | |||||||
\(230\) | −849.284 | + | 128.780i | −0.243479 | + | 0.0369196i | ||||
\(231\) | 3699.47 | 1.05371 | ||||||||
\(232\) | 4616.15 | + | 5327.33i | 1.30632 | + | 1.50757i | ||||
\(233\) | −677.796 | − | 435.593i | −0.190575 | − | 0.122475i | 0.441874 | − | 0.897077i | \(-0.354314\pi\) |
−0.632449 | + | 0.774602i | \(0.717950\pi\) | |||||||
\(234\) | −147.217 | + | 1023.92i | −0.0411278 | + | 0.286050i | ||||
\(235\) | −340.709 | + | 746.048i | −0.0945761 | + | 0.207093i | ||||
\(236\) | −1731.75 | − | 12044.6i | −0.477658 | − | 3.32219i | ||||
\(237\) | 1897.92 | + | 557.279i | 0.520181 | + | 0.152739i | ||||
\(238\) | −3818.90 | + | 2454.26i | −1.04009 | + | 0.668428i | ||||
\(239\) | 1019.98 | + | 2233.44i | 0.276053 | + | 0.604473i | 0.995980 | − | 0.0895777i | \(-0.0285517\pi\) |
−0.719926 | + | 0.694050i | \(0.755824\pi\) | |||||||
\(240\) | −219.236 | + | 64.3734i | −0.0589650 | + | 0.0173137i | ||||
\(241\) | 1876.13 | − | 2165.17i | 0.501461 | − | 0.578717i | −0.447431 | − | 0.894318i | \(-0.647661\pi\) |
0.948892 | + | 0.315602i | \(0.102206\pi\) | |||||||
\(242\) | −1022.84 | + | 1180.42i | −0.271697 | + | 0.313555i | ||||
\(243\) | −233.157 | + | 68.4610i | −0.0615515 | + | 0.0180732i | ||||
\(244\) | −4796.19 | − | 10502.2i | −1.25838 | − | 2.75547i | ||||
\(245\) | 782.104 | − | 502.627i | 0.203946 | − | 0.131068i | ||||
\(246\) | −723.076 | − | 212.314i | −0.187405 | − | 0.0550271i | ||||
\(247\) | 284.197 | + | 1976.63i | 0.0732105 | + | 0.509190i | ||||
\(248\) | 358.085 | − | 784.098i | 0.0916873 | − | 0.200767i | ||||
\(249\) | −151.035 | + | 1050.47i | −0.0384395 | + | 0.267352i | ||||
\(250\) | −1620.75 | − | 1041.59i | −0.410020 | − | 0.263504i | ||||
\(251\) | −611.685 | − | 705.923i | −0.153822 | − | 0.177520i | 0.673608 | − | 0.739088i | \(-0.264743\pi\) |
−0.827430 | + | 0.561569i | \(0.810198\pi\) | |||||||
\(252\) | −4168.26 | −1.04197 | ||||||||
\(253\) | 3368.36 | − | 2964.34i | 0.837023 | − | 0.736627i | ||||
\(254\) | 11581.5 | 2.86097 | ||||||||
\(255\) | −98.4203 | − | 113.583i | −0.0241699 | − | 0.0278935i | ||||
\(256\) | −6424.37 | − | 4128.69i | −1.56845 | − | 1.00798i | ||||
\(257\) | 234.055 | − | 1627.89i | 0.0568091 | − | 0.395116i | −0.941501 | − | 0.337010i | \(-0.890585\pi\) |
0.998310 | − | 0.0581067i | \(-0.0185064\pi\) | |||||||
\(258\) | 2423.82 | − | 5307.42i | 0.584885 | − | 1.28072i | ||||
\(259\) | −1153.64 | − | 8023.75i | −0.276771 | − | 1.92499i | ||||
\(260\) | −563.668 | − | 165.508i | −0.134451 | − | 0.0394783i | ||||
\(261\) | −1519.97 | + | 976.827i | −0.360475 | + | 0.231663i | ||||
\(262\) | −579.997 | − | 1270.02i | −0.136765 | − | 0.299473i | ||||
\(263\) | 1025.95 | − | 301.245i | 0.240542 | − | 0.0706295i | −0.159240 | − | 0.987240i | \(-0.550904\pi\) |
0.399781 | + | 0.916611i | \(0.369086\pi\) | |||||||
\(264\) | 2806.08 | − | 3238.38i | 0.654175 | − | 0.754958i | ||||
\(265\) | −360.773 | + | 416.354i | −0.0836305 | + | 0.0965148i | ||||
\(266\) | −11763.5 | + | 3454.09i | −2.71154 | + | 0.796180i | ||||
\(267\) | −1422.33 | − | 3114.48i | −0.326013 | − | 0.713869i | ||||
\(268\) | 8560.95 | − | 5501.79i | 1.95128 | − | 1.25401i | ||||
\(269\) | 1212.85 | + | 356.126i | 0.274904 | + | 0.0807190i | 0.416279 | − | 0.909237i | \(-0.363334\pi\) |
−0.141375 | + | 0.989956i | \(0.545152\pi\) | |||||||
\(270\) | −29.9234 | − | 208.122i | −0.00674475 | − | 0.0469108i | ||||
\(271\) | −3381.54 | + | 7404.54i | −0.757985 | + | 1.65976i | −0.00652374 | + | 0.999979i | \(0.502077\pi\) |
−0.751461 | + | 0.659777i | \(0.770651\pi\) | |||||||
\(272\) | −208.429 | + | 1449.66i | −0.0464627 | + | 0.323155i | ||||
\(273\) | −1822.63 | − | 1171.33i | −0.404068 | − | 0.259679i | ||||
\(274\) | −4046.64 | − | 4670.08i | −0.892214 | − | 1.02967i | ||||
\(275\) | 4978.82 | 1.09176 | ||||||||
\(276\) | −3795.19 | + | 3339.98i | −0.827695 | + | 0.728417i | ||||
\(277\) | −195.653 | −0.0424393 | −0.0212196 | − | 0.999775i | \(-0.506755\pi\) | ||||
−0.0212196 | + | 0.999775i | \(0.506755\pi\) | |||||||
\(278\) | 3946.87 | + | 4554.93i | 0.851503 | + | 0.982686i | ||||
\(279\) | 185.870 | + | 119.451i | 0.0398843 | + | 0.0256321i | ||||
\(280\) | 244.510 | − | 1700.60i | 0.0521867 | − | 0.362966i | ||||
\(281\) | −13.7719 | + | 30.1562i | −0.00292371 | + | 0.00640203i | −0.911088 | − | 0.412211i | \(-0.864757\pi\) |
0.908165 | + | 0.418613i | \(0.137484\pi\) | |||||||
\(282\) | 1046.68 | + | 7279.84i | 0.221025 | + | 1.53726i | ||||
\(283\) | −5702.13 | − | 1674.30i | −1.19773 | − | 0.351684i | −0.378743 | − | 0.925502i | \(-0.623644\pi\) |
−0.818983 | + | 0.573818i | \(0.805462\pi\) | |||||||
\(284\) | −8169.70 | + | 5250.35i | −1.70698 | + | 1.09701i | ||||
\(285\) | −168.618 | − | 369.221i | −0.0350458 | − | 0.0767396i | ||||
\(286\) | 4486.13 | − | 1317.25i | 0.927520 | − | 0.272344i | ||||
\(287\) | 1033.60 | − | 1192.84i | 0.212584 | − | 0.245335i | ||||
\(288\) | 313.783 | − | 362.125i | 0.0642008 | − | 0.0740917i | ||||
\(289\) | 3789.68 | − | 1112.75i | 0.771358 | − | 0.226491i | ||||
\(290\) | −649.450 | − | 1422.10i | −0.131507 | − | 0.287960i | ||||
\(291\) | 1420.99 | − | 913.213i | 0.286254 | − | 0.183964i | ||||
\(292\) | 4027.88 | + | 1182.69i | 0.807240 | + | 0.237027i | ||||
\(293\) | 217.595 | + | 1513.41i | 0.0433858 | + | 0.301755i | 0.999948 | + | 0.0102257i | \(0.00325498\pi\) |
−0.956562 | + | 0.291529i | \(0.905836\pi\) | |||||||
\(294\) | 3463.25 | − | 7583.46i | 0.687009 | − | 1.50434i | ||||
\(295\) | −182.959 | + | 1272.51i | −0.0361095 | + | 0.251147i | ||||
\(296\) | −7898.75 | − | 5076.22i | −1.55103 | − | 0.996788i | ||||
\(297\) | 719.245 | + | 830.053i | 0.140521 | + | 0.162170i | ||||
\(298\) | 15694.4 | 3.05086 | ||||||||
\(299\) | −2598.07 | + | 393.955i | −0.502510 | + | 0.0761974i | ||||
\(300\) | −5609.73 | −1.07959 | ||||||||
\(301\) | 8002.57 | + | 9235.46i | 1.53243 | + | 1.76851i | ||||
\(302\) | 786.010 | + | 505.138i | 0.149767 | + | 0.0962497i | ||||
\(303\) | −22.4815 | + | 156.362i | −0.00426247 | + | 0.0296461i | ||||
\(304\) | −1643.14 | + | 3597.98i | −0.310002 | + | 0.678811i | ||||
\(305\) | 173.594 | + | 1207.37i | 0.0325900 | + | 0.226668i | ||||
\(306\) | −1293.13 | − | 379.697i | −0.241579 | − | 0.0709340i | ||||
\(307\) | 6940.27 | − | 4460.24i | 1.29023 | − | 0.829183i | 0.298121 | − | 0.954528i | \(-0.403640\pi\) |
0.992113 | + | 0.125345i | \(0.0400038\pi\) | |||||||
\(308\) | 7826.34 | + | 17137.3i | 1.44788 | + | 3.17041i | ||||
\(309\) | 1632.98 | − | 479.487i | 0.300638 | − | 0.0882754i | ||||
\(310\) | −125.195 | + | 144.482i | −0.0229374 | + | 0.0264711i | ||||
\(311\) | 6631.74 | − | 7653.43i | 1.20917 | − | 1.39545i | 0.314181 | − | 0.949363i | \(-0.398270\pi\) |
0.894987 | − | 0.446092i | \(-0.147184\pi\) | |||||||
\(312\) | −2407.82 | + | 707.000i | −0.436910 | + | 0.128288i | ||||
\(313\) | 1260.76 | + | 2760.67i | 0.227675 | + | 0.498539i | 0.988649 | − | 0.150244i | \(-0.0480059\pi\) |
−0.760974 | + | 0.648782i | \(0.775279\pi\) | |||||||
\(314\) | −9969.44 | + | 6406.97i | −1.79175 | + | 1.15148i | ||||
\(315\) | 422.538 | + | 124.068i | 0.0755787 | + | 0.0221919i | ||||
\(316\) | 1433.58 | + | 9970.79i | 0.255207 | + | 1.77500i | ||||
\(317\) | −2331.53 | + | 5105.34i | −0.413097 | + | 0.904557i | 0.582675 | + | 0.812705i | \(0.302006\pi\) |
−0.995773 | + | 0.0918521i | \(0.970721\pi\) | |||||||
\(318\) | −703.071 | + | 4889.96i | −0.123982 | + | 0.862313i | ||||
\(319\) | 6870.01 | + | 4415.09i | 1.20579 | + | 0.774913i | ||||
\(320\) | 670.522 | + | 773.824i | 0.117135 | + | 0.135181i | ||||
\(321\) | −2562.59 | −0.445575 | ||||||||
\(322\) | −4664.06 | − | 15444.1i | −0.807199 | − | 2.67288i | ||||
\(323\) | −2601.71 | −0.448183 | ||||||||
\(324\) | −810.387 | − | 935.236i | −0.138955 | − | 0.160363i | ||||
\(325\) | −2452.93 | − | 1576.40i | −0.418659 | − | 0.269056i | ||||
\(326\) | −2652.31 | + | 18447.2i | −0.450607 | + | 3.13404i | ||||
\(327\) | 1201.34 | − | 2630.56i | 0.203162 | − | 0.444863i | ||||
\(328\) | −260.175 | − | 1809.56i | −0.0437981 | − | 0.304622i | ||||
\(329\) | −14779.8 | − | 4339.75i | −2.47671 | − | 0.727228i | ||||
\(330\) | −799.484 | + | 513.797i | −0.133364 | + | 0.0857079i | ||||
\(331\) | −2586.70 | − | 5664.08i | −0.429540 | − | 0.940562i | −0.993401 | − | 0.114692i | \(-0.963412\pi\) |
0.563861 | − | 0.825870i | \(-0.309315\pi\) | |||||||
\(332\) | −5185.67 | + | 1522.65i | −0.857231 | + | 0.251706i | ||||
\(333\) | 1576.01 | − | 1818.81i | 0.259353 | − | 0.299310i | ||||
\(334\) | −2828.97 | + | 3264.81i | −0.463457 | + | 0.534857i | ||||
\(335\) | −1031.59 | + | 302.901i | −0.168244 | + | 0.0494008i | ||||
\(336\) | −1782.70 | − | 3903.57i | −0.289447 | − | 0.633801i | ||||
\(337\) | −3014.22 | + | 1937.12i | −0.487225 | + | 0.313121i | −0.761089 | − | 0.648648i | \(-0.775335\pi\) |
0.273863 | + | 0.961769i | \(0.411698\pi\) | |||||||
\(338\) | 7543.23 | + | 2214.89i | 1.21390 | + | 0.356433i | ||||
\(339\) | 169.231 | + | 1177.02i | 0.0271131 | + | 0.188576i | ||||
\(340\) | 317.947 | − | 696.207i | 0.0507150 | − | 0.111050i | ||||
\(341\) | 142.120 | − | 988.463i | 0.0225695 | − | 0.156974i | ||||
\(342\) | −3062.05 | − | 1967.86i | −0.484142 | − | 0.311139i | ||||
\(343\) | 4625.17 | + | 5337.73i | 0.728093 | + | 0.840264i | ||||
\(344\) | 14154.4 | 2.21847 | ||||||||
\(345\) | 484.134 | − | 225.611i | 0.0755505 | − | 0.0352072i | ||||
\(346\) | −19167.9 | −2.97824 | ||||||||
\(347\) | −2880.71 | − | 3324.52i | −0.445662 | − | 0.514321i | 0.487821 | − | 0.872944i | \(-0.337792\pi\) |
−0.933483 | + | 0.358623i | \(0.883246\pi\) | |||||||
\(348\) | −7740.57 | − | 4974.56i | −1.19235 | − | 0.766277i | ||||
\(349\) | −711.446 | + | 4948.22i | −0.109120 | + | 0.758945i | 0.859632 | + | 0.510914i | \(0.170693\pi\) |
−0.968752 | + | 0.248032i | \(0.920216\pi\) | |||||||
\(350\) | 7436.51 | − | 16283.7i | 1.13571 | − | 2.48685i | ||||
\(351\) | −91.5398 | − | 636.673i | −0.0139203 | − | 0.0968180i | ||||
\(352\) | −2077.99 | − | 610.153i | −0.314651 | − | 0.0923900i | ||||
\(353\) | −5099.61 | + | 3277.32i | −0.768910 | + | 0.494148i | −0.865336 | − | 0.501192i | \(-0.832895\pi\) |
0.0964265 | + | 0.995340i | \(0.469259\pi\) | |||||||
\(354\) | 4789.06 | + | 10486.6i | 0.719027 | + | 1.57445i | ||||
\(355\) | 984.442 | − | 289.058i | 0.147180 | − | 0.0432158i | ||||
\(356\) | 11418.4 | − | 13177.5i | 1.69993 | − | 1.96182i | ||||
\(357\) | 1848.46 | − | 2133.24i | 0.274037 | − | 0.316255i | ||||
\(358\) | −3701.00 | + | 1086.71i | −0.546380 | + | 0.160432i | ||||
\(359\) | −1032.67 | − | 2261.23i | −0.151817 | − | 0.332433i | 0.818408 | − | 0.574637i | \(-0.194857\pi\) |
−0.970225 | + | 0.242204i | \(0.922130\pi\) | |||||||
\(360\) | 429.103 | − | 275.768i | 0.0628215 | − | 0.0403729i | ||||
\(361\) | −160.807 | − | 47.2173i | −0.0234447 | − | 0.00688399i | ||||
\(362\) | −1867.84 | − | 12991.1i | −0.271192 | − | 1.88618i | ||||
\(363\) | 403.453 | − | 883.438i | 0.0583354 | − | 0.127737i | ||||
\(364\) | 1570.21 | − | 10921.1i | 0.226103 | − | 1.57258i | ||||
\(365\) | −373.105 | − | 239.780i | −0.0535047 | − | 0.0343854i | ||||
\(366\) | 7163.02 | + | 8266.57i | 1.02300 | + | 1.18060i | ||||
\(367\) | −2064.89 | −0.293696 | −0.146848 | − | 0.989159i | \(-0.546913\pi\) | ||||
−0.146848 | + | 0.989159i | \(0.546913\pi\) | |||||||
\(368\) | −4751.03 | − | 2125.73i | −0.673001 | − | 0.301118i | ||||
\(369\) | 468.590 | 0.0661079 | ||||||||
\(370\) | 1363.68 | + | 1573.77i | 0.191607 | + | 0.221126i | ||||
\(371\) | −8704.38 | − | 5593.97i | −1.21808 | − | 0.782815i | ||||
\(372\) | −160.129 | + | 1113.72i | −0.0223180 | + | 0.155225i | ||||
\(373\) | −207.651 | + | 454.691i | −0.0288250 | + | 0.0631180i | −0.923497 | − | 0.383606i | \(-0.874682\pi\) |
0.894672 | + | 0.446724i | \(0.147409\pi\) | |||||||
\(374\) | 866.905 | + | 6029.46i | 0.119857 | + | 0.833625i | ||||
\(375\) | 1149.43 | + | 337.502i | 0.158283 | + | 0.0464760i | ||||
\(376\) | −15009.5 | + | 9646.01i | −2.05866 | + | 1.32302i | ||||
\(377\) | −1986.76 | − | 4350.39i | −0.271414 | − | 0.594314i | ||||
\(378\) | 3789.04 | − | 1112.56i | 0.515575 | − | 0.151386i | ||||
\(379\) | 1269.74 | − | 1465.36i | 0.172090 | − | 0.198603i | −0.663152 | − | 0.748485i | \(-0.730782\pi\) |
0.835243 | + | 0.549882i | \(0.185327\pi\) | |||||||
\(380\) | 1353.65 | − | 1562.20i | 0.182739 | − | 0.210892i | ||||
\(381\) | −6909.66 | + | 2028.86i | −0.929115 | + | 0.272813i | ||||
\(382\) | −2601.28 | − | 5696.02i | −0.348412 | − | 0.762915i | ||||
\(383\) | 2690.56 | − | 1729.12i | 0.358958 | − | 0.230688i | −0.348714 | − | 0.937229i | \(-0.613382\pi\) |
0.707672 | + | 0.706541i | \(0.249745\pi\) | |||||||
\(384\) | 7583.88 | + | 2226.83i | 1.00785 | + | 0.295931i | ||||
\(385\) | −283.267 | − | 1970.16i | −0.0374977 | − | 0.260802i | ||||
\(386\) | −6016.82 | + | 13175.0i | −0.793388 | + | 1.73728i | ||||
\(387\) | −516.320 | + | 3591.09i | −0.0678192 | + | 0.471693i | ||||
\(388\) | 7236.48 | + | 4650.60i | 0.946847 | + | 0.608502i | ||||
\(389\) | 6181.77 | + | 7134.15i | 0.805728 | + | 0.929860i | 0.998681 | − | 0.0513479i | \(-0.0163517\pi\) |
−0.192952 | + | 0.981208i | \(0.561806\pi\) | |||||||
\(390\) | 556.564 | 0.0722633 | ||||||||
\(391\) | −26.3186 | − | 3423.47i | −0.00340407 | − | 0.442793i | ||||
\(392\) | 20224.4 | 2.60583 | ||||||||
\(393\) | 568.517 | + | 656.104i | 0.0729718 | + | 0.0842139i | ||||
\(394\) | 1172.89 | + | 753.772i | 0.149973 | + | 0.0963820i | ||||
\(395\) | 151.458 | − | 1053.41i | 0.0192928 | − | 0.134185i | ||||
\(396\) | −2323.52 | + | 5087.81i | −0.294852 | + | 0.645636i | ||||
\(397\) | 658.159 | + | 4577.60i | 0.0832042 | + | 0.578698i | 0.988187 | + | 0.153251i | \(0.0489742\pi\) |
−0.904983 | + | 0.425447i | \(0.860117\pi\) | |||||||
\(398\) | 13228.8 | + | 3884.34i | 1.66608 | + | 0.489206i | ||||
\(399\) | 6413.20 | − | 4121.51i | 0.804665 | − | 0.517127i | ||||
\(400\) | −2399.20 | − | 5253.51i | −0.299899 | − | 0.656688i | ||||
\(401\) | 3071.64 | − | 901.914i | 0.382519 | − | 0.112318i | −0.0848190 | − | 0.996396i | \(-0.527031\pi\) |
0.467338 | + | 0.884079i | \(0.345213\pi\) | |||||||
\(402\) | −6313.60 | + | 7286.28i | −0.783318 | + | 0.903997i | ||||
\(403\) | −382.987 | + | 441.991i | −0.0473399 | + | 0.0546331i | ||||
\(404\) | −771.888 | + | 226.647i | −0.0950566 | + | 0.0279111i | ||||
\(405\) | 54.3118 | + | 118.926i | 0.00666365 | + | 0.0145914i | ||||
\(406\) | 24701.1 | − | 15874.5i | 3.01945 | − | 1.94048i | ||||
\(407\) | −10436.9 | − | 3064.56i | −1.27110 | − | 0.373230i | ||||
\(408\) | −465.290 | − | 3236.16i | −0.0564590 | − | 0.392681i | ||||
\(409\) | −2176.28 | + | 4765.39i | −0.263105 | + | 0.576120i | −0.994369 | − | 0.105975i | \(-0.966204\pi\) |
0.731263 | + | 0.682095i | \(0.238931\pi\) | |||||||
\(410\) | −57.7030 | + | 401.333i | −0.00695060 | + | 0.0483425i | ||||
\(411\) | 3232.39 | + | 2077.33i | 0.387937 | + | 0.249312i | ||||
\(412\) | 5675.79 | + | 6550.21i | 0.678704 | + | 0.783266i | ||||
\(413\) | −24145.2 | −2.87677 | ||||||||
\(414\) | 2558.43 | − | 4049.10i | 0.303720 | − | 0.480683i | ||||
\(415\) | 570.995 | 0.0675399 | ||||||||
\(416\) | 830.583 | + | 958.544i | 0.0978910 | + | 0.112972i | ||||
\(417\) | −3152.70 | − | 2026.12i | −0.370236 | − | 0.237936i | ||||
\(418\) | −2341.30 | + | 16284.1i | −0.273963 | + | 1.90546i | ||||
\(419\) | 5299.11 | − | 11603.4i | 0.617849 | − | 1.35290i | −0.299225 | − | 0.954183i | \(-0.596728\pi\) |
0.917074 | − | 0.398718i | \(-0.130545\pi\) | |||||||
\(420\) | 319.162 | + | 2219.82i | 0.0370798 | + | 0.257896i | ||||
\(421\) | −3526.53 | − | 1035.48i | −0.408249 | − | 0.119873i | 0.0711589 | − | 0.997465i | \(-0.477330\pi\) |
−0.479408 | + | 0.877592i | \(0.659148\pi\) | |||||||
\(422\) | 21559.0 | − | 13855.1i | 2.48691 | − | 1.59824i | ||||
\(423\) | −1899.76 | − | 4159.89i | −0.218367 | − | 0.478158i | ||||
\(424\) | −11499.1 | + | 3376.44i | −1.31709 | + | 0.386733i | ||||
\(425\) | 2487.70 | − | 2870.96i | 0.283933 | − | 0.327676i | ||||
\(426\) | 6025.06 | − | 6953.29i | 0.685246 | − | 0.790816i | ||||
\(427\) | −21981.2 | + | 6454.27i | −2.49121 | + | 0.731484i | ||||
\(428\) | −5421.23 | − | 11870.8i | −0.612255 | − | 1.34065i | ||||
\(429\) | −2445.73 | + | 1571.78i | −0.275247 | + | 0.176890i | ||||
\(430\) | −3012.08 | − | 884.425i | −0.337803 | − | 0.0991879i | ||||
\(431\) | 2153.44 | + | 14977.5i | 0.240667 | + | 1.67388i | 0.648803 | + | 0.760956i | \(0.275270\pi\) |
−0.408136 | + | 0.912921i | \(0.633821\pi\) | |||||||
\(432\) | 529.257 | − | 1158.91i | 0.0589442 | − | 0.129070i | ||||
\(433\) | −86.6067 | + | 602.363i | −0.00961213 | + | 0.0668538i | −0.994063 | − | 0.108807i | \(-0.965297\pi\) |
0.984451 | + | 0.175661i | \(0.0562061\pi\) | |||||||
\(434\) | −3020.58 | − | 1941.21i | −0.334084 | − | 0.214703i | ||||
\(435\) | 636.596 | + | 734.671i | 0.0701665 | + | 0.0809765i | ||||
\(436\) | 14727.2 | 1.61767 | ||||||||
\(437\) | 2536.68 | − | 8891.45i | 0.277680 | − | 0.973308i | ||||
\(438\) | −3977.12 | −0.433867 | ||||||||
\(439\) | 2583.40 | + | 2981.41i | 0.280864 | + | 0.324134i | 0.878600 | − | 0.477559i | \(-0.158478\pi\) |
−0.597736 | + | 0.801693i | \(0.703933\pi\) | |||||||
\(440\) | −1939.47 | − | 1246.42i | −0.210138 | − | 0.135047i | ||||
\(441\) | −737.739 | + | 5131.09i | −0.0796608 | + | 0.554053i | ||||
\(442\) | 1481.96 | − | 3245.03i | 0.159479 | − | 0.349209i | ||||
\(443\) | −754.461 | − | 5247.39i | −0.0809154 | − | 0.562779i | −0.989439 | − | 0.144947i | \(-0.953699\pi\) |
0.908524 | − | 0.417832i | \(-0.137210\pi\) | |||||||
\(444\) | 11759.5 | + | 3452.89i | 1.25694 | + | 0.369070i | ||||
\(445\) | −1549.72 | + | 995.943i | −0.165087 | + | 0.106095i | ||||
\(446\) | 6742.01 | + | 14762.9i | 0.715793 | + | 1.56737i | ||||
\(447\) | −9363.52 | + | 2749.38i | −0.990781 | + | 0.290920i | ||||
\(448\) | −12593.3 | + | 14533.4i | −1.32807 | + | 1.53268i | ||||
\(449\) | −567.227 | + | 654.615i | −0.0596194 | + | 0.0688044i | −0.784776 | − | 0.619780i | \(-0.787222\pi\) |
0.725156 | + | 0.688584i | \(0.241767\pi\) | |||||||
\(450\) | 5099.38 | − | 1497.31i | 0.534193 | − | 0.156853i | ||||
\(451\) | −879.826 | − | 1926.55i | −0.0918612 | − | 0.201148i | ||||
\(452\) | −5094.39 | + | 3273.97i | −0.530133 | + | 0.340696i | ||||
\(453\) | −557.435 | − | 163.678i | −0.0578158 | − | 0.0169763i | ||||
\(454\) | −1632.42 | − | 11353.7i | −0.168751 | − | 1.17369i | ||||
\(455\) | −484.239 | + | 1060.33i | −0.0498933 | + | 0.109251i | ||||
\(456\) | 1256.63 | − | 8740.09i | 0.129051 | − | 0.897570i | ||||
\(457\) | 2612.40 | + | 1678.89i | 0.267403 | + | 0.171849i | 0.667470 | − | 0.744636i | \(-0.267377\pi\) |
−0.400068 | + | 0.916486i | \(0.631013\pi\) | |||||||
\(458\) | −15655.4 | − | 18067.3i | −1.59722 | − | 1.84329i | ||||
\(459\) | 838.013 | 0.0852181 | ||||||||
\(460\) | 2069.31 | + | 1765.40i | 0.209744 | + | 0.178940i | ||||
\(461\) | 7029.67 | 0.710205 | 0.355102 | − | 0.934827i | \(-0.384446\pi\) | ||||
0.355102 | + | 0.934827i | \(0.384446\pi\) | |||||||
\(462\) | −11688.5 | − | 13489.2i | −1.17705 | − | 1.35839i | ||||
\(463\) | 11686.1 | + | 7510.20i | 1.17300 | + | 0.753842i | 0.974087 | − | 0.226175i | \(-0.0726222\pi\) |
0.198914 | + | 0.980017i | \(0.436259\pi\) | |||||||
\(464\) | 1348.15 | − | 9376.57i | 0.134884 | − | 0.938138i | ||||
\(465\) | 49.3822 | − | 108.132i | 0.00492482 | − | 0.0107839i | ||||
\(466\) | 553.213 | + | 3847.68i | 0.0549938 | + | 0.382490i | ||||
\(467\) | −1208.05 | − | 354.714i | −0.119704 | − | 0.0351482i | 0.221332 | − | 0.975199i | \(-0.428960\pi\) |
−0.341036 | + | 0.940050i | \(0.610778\pi\) | |||||||
\(468\) | 2755.65 | − | 1770.95i | 0.272179 | − | 0.174919i | ||||
\(469\) | −8388.28 | − | 18367.8i | −0.825873 | − | 1.80841i | ||||
\(470\) | 3796.76 | − | 1114.83i | 0.372620 | − | 0.109411i | ||||
\(471\) | 4825.52 | − | 5568.94i | 0.472077 | − | 0.544805i | ||||
\(472\) | −18314.3 | + | 21135.8i | −1.78598 | + | 2.06114i | ||||
\(473\) | 15733.8 | − | 4619.85i | 1.52947 | − | 0.449093i | ||||
\(474\) | −3964.49 | − | 8681.03i | −0.384167 | − | 0.841209i | ||||
\(475\) | 8631.02 | − | 5546.82i | 0.833723 | − | 0.535801i | ||||
\(476\) | 13792.4 | + | 4049.83i | 1.32810 | + | 0.389965i | ||||
\(477\) | −437.170 | − | 3040.58i | −0.0419636 | − | 0.291863i | ||||
\(478\) | 4921.08 | − | 10775.7i | 0.470889 | − | 1.03110i | ||||
\(479\) | −1299.44 | + | 9037.80i | −0.123952 | + | 0.862103i | 0.829058 | + | 0.559163i | \(0.188877\pi\) |
−0.953010 | + | 0.302940i | \(0.902032\pi\) | |||||||
\(480\) | −216.877 | − | 139.378i | −0.0206230 | − | 0.0132536i | ||||
\(481\) | 4171.69 | + | 4814.38i | 0.395452 | + | 0.456376i | ||||
\(482\) | −13822.4 | −1.30621 | ||||||||
\(483\) | 5488.17 | + | 8397.11i | 0.517019 | + | 0.791060i | ||||
\(484\) | 4945.92 | 0.464493 | ||||||||
\(485\) | −595.139 | − | 686.827i | −0.0557193 | − | 0.0643035i | ||||
\(486\) | 986.287 | + | 633.848i | 0.0920553 | + | 0.0591604i | ||||
\(487\) | 413.317 | − | 2874.68i | 0.0384583 | − | 0.267483i | −0.961515 | − | 0.274751i | \(-0.911404\pi\) |
0.999974 | + | 0.00726817i | \(0.00231355\pi\) | |||||||
\(488\) | −11023.1 | + | 24137.2i | −1.02252 | + | 2.23902i | ||||
\(489\) | −1649.21 | − | 11470.5i | −0.152515 | − | 1.06076i | ||||
\(490\) | −4303.77 | − | 1263.70i | −0.396785 | − | 0.116507i | ||||
\(491\) | −4201.47 | + | 2700.12i | −0.386170 | + | 0.248177i | −0.719293 | − | 0.694707i | \(-0.755534\pi\) |
0.333123 | + | 0.942884i | \(0.391898\pi\) | |||||||
\(492\) | 991.317 | + | 2170.68i | 0.0908374 | + | 0.198906i | ||||
\(493\) | 5978.54 | − | 1755.46i | 0.546166 | − | 0.160369i | ||||
\(494\) | 6309.40 | − | 7281.43i | 0.574642 | − | 0.663172i | ||||
\(495\) | 386.975 | − | 446.593i | 0.0351379 | − | 0.0405512i | ||||
\(496\) | −1111.48 | + | 326.360i | −0.100619 | + | 0.0295444i | ||||
\(497\) | 8004.92 | + | 17528.3i | 0.722474 | + | 1.58200i | ||||
\(498\) | 4307.48 | − | 2768.25i | 0.387596 | − | 0.249093i | ||||
\(499\) | −5230.54 | − | 1535.82i | −0.469241 | − | 0.137781i | 0.0385596 | − | 0.999256i | \(-0.487723\pi\) |
−0.507800 | + | 0.861475i | \(0.669541\pi\) | |||||||
\(500\) | 868.213 | + | 6038.55i | 0.0776553 | + | 0.540105i | ||||
\(501\) | 1115.87 | − | 2443.41i | 0.0995077 | − | 0.217891i | ||||
\(502\) | −641.357 | + | 4460.73i | −0.0570222 | + | 0.396598i | ||||
\(503\) | 6838.65 | + | 4394.94i | 0.606204 | + | 0.389584i | 0.807432 | − | 0.589961i | \(-0.200857\pi\) |
−0.201228 | + | 0.979544i | \(0.564493\pi\) | |||||||
\(504\) | 6273.51 | + | 7240.01i | 0.554453 | + | 0.639873i | ||||
\(505\) | 84.9927 | 0.00748935 | ||||||||
\(506\) | −21451.1 | − | 2916.07i | −1.88462 | − | 0.256196i | ||||
\(507\) | −4888.40 | −0.428208 | ||||||||
\(508\) | −24016.0 | − | 27716.0i | −2.09752 | − | 2.42066i | ||||
\(509\) | −7918.70 | − | 5089.04i | −0.689568 | − | 0.443158i | 0.148364 | − | 0.988933i | \(-0.452599\pi\) |
−0.837932 | + | 0.545774i | \(0.816236\pi\) | |||||||
\(510\) | −103.194 | + | 717.733i | −0.00895985 | + | 0.0623171i | ||||
\(511\) | 3460.29 | − | 7576.99i | 0.299558 | − | 0.655941i | ||||
\(512\) | 2243.89 | + | 15606.6i | 0.193686 | + | 1.34711i | ||||
\(513\) | 2171.59 | + | 637.637i | 0.186897 | + | 0.0548779i | ||||
\(514\) | −6675.21 | + | 4289.90i | −0.572823 | + | 0.368131i | ||||
\(515\) | −380.390 | − | 832.937i | −0.0325475 | − | 0.0712691i | ||||
\(516\) | −17727.5 | + | 5205.27i | −1.51242 | + | 0.444088i | ||||
\(517\) | −13535.9 | + | 15621.3i | −1.15147 | + | 1.32886i | ||||
\(518\) | −25611.8 | + | 29557.5i | −2.17242 | + | 2.50711i | ||||
\(519\) | 11435.8 | − | 3357.85i | 0.967199 | − | 0.283995i | ||||
\(520\) | 560.881 | + | 1228.16i | 0.0473005 | + | 0.103574i | ||||
\(521\) | −14479.1 | + | 9305.12i | −1.21754 | + | 0.782466i | −0.981905 | − | 0.189375i | \(-0.939354\pi\) |
−0.235636 | + | 0.971841i | \(0.575717\pi\) | |||||||
\(522\) | 8364.13 | + | 2455.93i | 0.701318 | + | 0.205926i | ||||
\(523\) | −530.211 | − | 3687.70i | −0.0443298 | − | 0.308321i | −0.999908 | − | 0.0135822i | \(-0.995677\pi\) |
0.955578 | − | 0.294739i | \(-0.0952326\pi\) | |||||||
\(524\) | −1836.60 | + | 4021.59i | −0.153115 | + | 0.335275i | ||||
\(525\) | −1584.12 | + | 11017.8i | −0.131689 | + | 0.915916i | ||||
\(526\) | −4339.90 | − | 2789.08i | −0.359750 | − | 0.231197i | ||||
\(527\) | −498.971 | − | 575.843i | −0.0412439 | − | 0.0475980i | ||||
\(528\) | −5758.46 | −0.474630 | ||||||||
\(529\) | 11725.5 | + | 3247.95i | 0.963711 | + | 0.266948i | ||||
\(530\) | 2658.00 | 0.217842 | ||||||||
\(531\) | −4694.27 | − | 5417.48i | −0.383642 | − | 0.442747i | ||||
\(532\) | 32659.7 | + | 20989.1i | 2.66161 | + | 1.71051i | ||||
\(533\) | −176.521 | + | 1227.73i | −0.0143452 | + | 0.0997729i | ||||
\(534\) | −6862.33 | + | 15026.4i | −0.556109 | + | 1.21771i | ||||
\(535\) | 196.216 | + | 1364.71i | 0.0158564 | + | 0.110284i | ||||
\(536\) | −22441.1 | − | 6589.29i | −1.80841 | − | 0.530996i | ||||
\(537\) | 2017.70 | − | 1296.69i | 0.162142 | − | 0.104202i | ||||
\(538\) | −2533.49 | − | 5547.57i | −0.203023 | − | 0.444559i | ||||
\(539\) | 22481.0 | − | 6601.02i | 1.79652 | − | 0.527507i | ||||
\(540\) | −436.012 | + | 503.185i | −0.0347462 | + | 0.0400993i | ||||
\(541\) | 13296.9 | − | 15345.4i | 1.05671 | − | 1.21950i | 0.0818548 | − | 0.996644i | \(-0.473916\pi\) |
0.974851 | − | 0.222859i | \(-0.0715389\pi\) | |||||||
\(542\) | 37682.9 | − | 11064.7i | 2.98638 | − | 0.876881i | ||||
\(543\) | 3390.18 | + | 7423.47i | 0.267931 | + | 0.586688i | ||||
\(544\) | −1390.12 | + | 893.375i | −0.109560 | + | 0.0704102i | ||||
\(545\) | −1492.90 | − | 438.355i | −0.117337 | − | 0.0344533i | ||||
\(546\) | 1487.62 | + | 10346.6i | 0.116601 | + | 0.810978i | ||||
\(547\) | −847.869 | + | 1856.57i | −0.0662747 | + | 0.145121i | −0.939871 | − | 0.341531i | \(-0.889055\pi\) |
0.873596 | + | 0.486652i | \(0.161782\pi\) | |||||||
\(548\) | −2784.74 | + | 19368.3i | −0.217077 | + | 1.50980i | ||||
\(549\) | −5721.70 | − | 3677.12i | −0.444802 | − | 0.285857i | ||||
\(550\) | −15730.6 | − | 18154.1i | −1.21956 | − | 1.40744i | ||||
\(551\) | 16828.2 | 1.30110 | ||||||||
\(552\) | 11513.4 | + | 1565.13i | 0.887755 | + | 0.120682i | ||||
\(553\) | 19987.9 | 1.53702 | ||||||||
\(554\) | 618.168 | + | 713.404i | 0.0474069 | + | 0.0547105i | ||||
\(555\) | −1089.29 | − | 700.042i | −0.0833110 | − | 0.0535407i | ||||
\(556\) | 2716.08 | − | 18890.8i | 0.207172 | − | 1.44091i | ||||
\(557\) | −3934.81 | + | 8616.03i | −0.299324 | + | 0.655427i | −0.998210 | − | 0.0598055i | \(-0.980952\pi\) |
0.698887 | + | 0.715233i | \(0.253679\pi\) | |||||||
\(558\) | −151.706 | − | 1055.14i | −0.0115094 | − | 0.0800493i | ||||
\(559\) | −9214.35 | − | 2705.58i | −0.697183 | − | 0.204711i | ||||
\(560\) | −1942.36 | + | 1248.28i | −0.146571 | + | 0.0941952i | ||||
\(561\) | −1573.46 | − | 3445.39i | −0.118416 | − | 0.259295i | ||||
\(562\) | 153.470 | − | 45.0628i | 0.0115191 | − | 0.00338232i | ||||
\(563\) | 8728.78 | − | 10073.5i | 0.653418 | − | 0.754084i | −0.328270 | − | 0.944584i | \(-0.606465\pi\) |
0.981687 | + | 0.190500i | \(0.0610109\pi\) | |||||||
\(564\) | 15251.1 | − | 17600.8i | 1.13863 | − | 1.31405i | ||||
\(565\) | 613.870 | − | 180.248i | 0.0457092 | − | 0.0134214i | ||||
\(566\) | 11911.0 | + | 26081.4i | 0.884551 | + | 1.93690i | ||||
\(567\) | −2065.69 | + | 1327.54i | −0.153000 | + | 0.0983271i | ||||
\(568\) | 21415.5 | + | 6288.15i | 1.58200 | + | 0.464516i | ||||
\(569\) | 48.8929 | + | 340.057i | 0.00360228 | + | 0.0250544i | 0.991543 | − | 0.129776i | \(-0.0414259\pi\) |
−0.987941 | + | 0.154831i | \(0.950517\pi\) | |||||||
\(570\) | −813.530 | + | 1781.38i | −0.0597807 | + | 0.130902i | ||||
\(571\) | −249.020 | + | 1731.97i | −0.0182507 | + | 0.126937i | −0.996910 | − | 0.0785536i | \(-0.974970\pi\) |
0.978659 | + | 0.205490i | \(0.0658789\pi\) | |||||||
\(572\) | −12455.1 | − | 8004.38i | −0.910440 | − | 0.585105i | ||||
\(573\) | 2549.80 | + | 2942.62i | 0.185898 | + | 0.214537i | ||||
\(574\) | −7615.08 | −0.553741 | ||||||||
\(575\) | 7386.09 | + | 11301.0i | 0.535689 | + | 0.819626i | ||||
\(576\) | −5709.25 | −0.412996 | ||||||||
\(577\) | 3794.56 | + | 4379.16i | 0.273777 | + | 0.315956i | 0.875942 | − | 0.482416i | \(-0.160241\pi\) |
−0.602165 | + | 0.798372i | \(0.705695\pi\) | |||||||
\(578\) | −16030.9 | − | 10302.4i | −1.15363 | − | 0.741393i | ||||
\(579\) | 1281.70 | − | 8914.41i | 0.0919958 | − | 0.639845i | ||||
\(580\) | −2056.53 | + | 4503.16i | −0.147229 | + | 0.322386i | ||||
\(581\) | 1526.19 | + | 10614.9i | 0.108979 | + | 0.757969i | ||||
\(582\) | −7819.43 | − | 2295.99i | −0.556918 | − | 0.163526i | ||||
\(583\) | −11680.1 | + | 7506.38i | −0.829747 | + | 0.533246i | ||||
\(584\) | −4007.97 | − | 8776.22i | −0.283991 | − | 0.621854i | ||||
\(585\) | −332.053 | + | 97.4996i | −0.0234679 | + | 0.00689079i | ||||
\(586\) | 4830.79 | − | 5575.03i | 0.340543 | − | 0.393007i | ||||
\(587\) | 11895.3 | − | 13727.9i | 0.836405 | − | 0.965263i | −0.163368 | − | 0.986565i | \(-0.552236\pi\) |
0.999773 | + | 0.0213021i | \(0.00678119\pi\) | |||||||
\(588\) | −25329.8 | + | 7437.50i | −1.77650 | + | 0.521628i | ||||
\(589\) | −854.858 | − | 1871.88i | −0.0598027 | − | 0.130950i | ||||
\(590\) | 5217.96 | − | 3353.38i | 0.364102 | − | 0.233994i | ||||
\(591\) | −831.810 | − | 244.242i | −0.0578953 | − | 0.0169996i | ||||
\(592\) | 1795.72 | + | 12489.5i | 0.124668 | + | 0.867085i | ||||
\(593\) | −259.568 | + | 568.374i | −0.0179750 | + | 0.0393597i | −0.918407 | − | 0.395638i | \(-0.870524\pi\) |
0.900432 | + | 0.434998i | \(0.143251\pi\) | |||||||
\(594\) | 754.134 | − | 5245.11i | 0.0520917 | − | 0.362306i | ||||
\(595\) | −1277.60 | − | 821.064i | −0.0880278 | − | 0.0565720i | ||||
\(596\) | −32544.9 | − | 37558.8i | −2.23673 | − | 2.58133i | ||||
\(597\) | −8572.96 | −0.587718 | ||||||||
\(598\) | 9645.10 | + | 8228.56i | 0.659561 | + | 0.562694i | ||||
\(599\) | 21319.9 | 1.45427 | 0.727136 | − | 0.686494i | \(-0.240851\pi\) | ||||
0.727136 | + | 0.686494i | \(0.240851\pi\) | |||||||
\(600\) | 8443.02 | + | 9743.77i | 0.574475 | + | 0.662980i | ||||
\(601\) | −868.324 | − | 558.038i | −0.0589346 | − | 0.0378750i | 0.510842 | − | 0.859675i | \(-0.329334\pi\) |
−0.569776 | + | 0.821800i | \(0.692970\pi\) | |||||||
\(602\) | 8390.75 | − | 58359.0i | 0.568076 | − | 3.95105i | ||||
\(603\) | 2490.36 | − | 5453.12i | 0.168184 | − | 0.368272i | ||||
\(604\) | −421.056 | − | 2928.51i | −0.0283651 | − | 0.197283i | ||||
\(605\) | −501.370 | − | 147.215i | −0.0336919 | − | 0.00989283i | ||||
\(606\) | 641.169 | − | 412.054i | 0.0429797 | − | 0.0276214i | ||||
\(607\) | 3659.42 | + | 8013.02i | 0.244698 | + | 0.535813i | 0.991634 | − | 0.129083i | \(-0.0412033\pi\) |
−0.746936 | + | 0.664896i | \(0.768476\pi\) | |||||||
\(608\) | −4282.05 | + | 1257.32i | −0.285625 | + | 0.0838672i | ||||
\(609\) | −11956.1 | + | 13798.1i | −0.795544 | + | 0.918107i | ||||
\(610\) | 3853.92 | − | 4447.66i | 0.255804 | − | 0.295214i | ||||
\(611\) | 11614.8 | − | 3410.41i | 0.769042 | − | 0.225811i | ||||
\(612\) | 1772.84 | + | 3881.98i | 0.117096 | + | 0.256405i | ||||
\(613\) | 4530.18 | − | 2911.37i | 0.298486 | − | 0.191826i | −0.382822 | − | 0.923822i | \(-0.625048\pi\) |
0.681308 | + | 0.731997i | \(0.261411\pi\) | |||||||
\(614\) | −38191.0 | − | 11213.9i | −2.51020 | − | 0.737062i | ||||
\(615\) | −35.8797 | − | 249.549i | −0.00235254 | − | 0.0163623i | ||||
\(616\) | 17987.3 | − | 39386.6i | 1.17651 | − | 2.57619i | ||||
\(617\) | −640.711 | + | 4456.24i | −0.0418056 | + | 0.290764i | 0.958184 | + | 0.286153i | \(0.0923767\pi\) |
−0.999989 | + | 0.00461070i | \(0.998532\pi\) | |||||||
\(618\) | −6907.76 | − | 4439.35i | −0.449629 | − | 0.288959i | ||||
\(619\) | −9473.26 | − | 10932.7i | −0.615125 | − | 0.709892i | 0.359649 | − | 0.933088i | \(-0.382897\pi\) |
−0.974774 | + | 0.223196i | \(0.928351\pi\) | |||||||
\(620\) | 605.376 | 0.0392137 | ||||||||
\(621\) | −817.067 | + | 2863.94i | −0.0527983 | + | 0.185066i | ||||
\(622\) | −48859.5 | −3.14966 | ||||||||
\(623\) | −22656.9 | − | 26147.5i | −1.45703 | − | 1.68150i | ||||
\(624\) | 2837.04 | + | 1823.25i | 0.182007 | + | 0.116969i | ||||
\(625\) | −2085.60 | + | 14505.6i | −0.133478 | + | 0.928361i | ||||
\(626\) | 6082.78 | − | 13319.4i | 0.388365 | − | 0.850401i | ||||
\(627\) | −1455.82 | − | 10125.5i | −0.0927271 | − | 0.644931i | ||||
\(628\) | 36005.9 | + | 10572.3i | 2.28789 | + | 0.671784i | ||||
\(629\) | −6982.01 | + | 4487.07i | −0.442593 | + | 0.284437i | ||||
\(630\) | −882.625 | − | 1932.68i | −0.0558168 | − | 0.122222i | ||||
\(631\) | 13048.2 | − | 3831.28i | 0.823199 | − | 0.241713i | 0.157106 | − | 0.987582i | \(-0.449784\pi\) |
0.666093 | + | 0.745869i | \(0.267965\pi\) | |||||||
\(632\) | 15161.0 | − | 17496.7i | 0.954229 | − | 1.10124i | ||||
\(633\) | −10435.2 | + | 12042.9i | −0.655233 | + | 0.756179i | ||||
\(634\) | 25981.9 | − | 7628.98i | 1.62756 | − | 0.477895i | ||||
\(635\) | 1609.55 | + | 3524.41i | 0.100587 | + | 0.220255i | ||||
\(636\) | 13160.2 | − | 8457.57i | 0.820499 | − | 0.527303i | ||||
\(637\) | −13165.8 | − | 3865.83i | −0.818915 | − | 0.240455i | ||||
\(638\) | −5607.26 | − | 38999.4i | −0.347952 | − | 2.42006i | ||||
\(639\) | −2376.54 | + | 5203.90i | −0.147128 | + | 0.322165i | ||||
\(640\) | 605.210 | − | 4209.33i | 0.0373797 | − | 0.259982i | ||||
\(641\) | 14160.4 | + | 9100.35i | 0.872548 | + | 0.560752i | 0.898531 | − | 0.438910i | \(-0.144635\pi\) |
−0.0259833 | + | 0.999662i | \(0.508272\pi\) | |||||||
\(642\) | 8096.51 | + | 9343.87i | 0.497732 | + | 0.574413i | ||||
\(643\) | −18718.9 | −1.14806 | −0.574029 | − | 0.818835i | \(-0.694620\pi\) | ||||
−0.574029 | + | 0.818835i | \(0.694620\pi\) | |||||||
\(644\) | −27288.1 | + | 43187.5i | −1.66972 | + | 2.64259i | ||||
\(645\) | 1951.98 | 0.119161 | ||||||||
\(646\) | 8220.13 | + | 9486.54i | 0.500645 | + | 0.577775i | ||||
\(647\) | 21701.9 | + | 13947.0i | 1.31869 | + | 0.847468i | 0.995114 | − | 0.0987359i | \(-0.0314799\pi\) |
0.323572 | + | 0.946204i | \(0.395116\pi\) | |||||||
\(648\) | −404.763 | + | 2815.19i | −0.0245379 | + | 0.170665i | ||||
\(649\) | −13459.3 | + | 29471.8i | −0.814059 | + | 1.78254i | ||||
\(650\) | 2002.07 | + | 13924.7i | 0.120812 | + | 0.840264i | ||||
\(651\) | 2142.18 | + | 629.001i | 0.128969 | + | 0.0378687i | ||||
\(652\) | 49646.6 | − | 31905.9i | 2.98207 | − | 1.91646i | ||||
\(653\) | −9827.91 | − | 21520.1i | −0.588968 | − | 1.28966i | −0.936064 | − | 0.351830i | \(-0.885560\pi\) |
0.347097 | − | 0.937829i | \(-0.387168\pi\) | |||||||
\(654\) | −13387.3 | + | 3930.88i | −0.800438 | + | 0.235030i | ||||
\(655\) | 305.879 | − | 353.003i | 0.0182469 | − | 0.0210580i | ||||
\(656\) | −1608.87 | + | 1856.73i | −0.0957557 | + | 0.110508i | ||||
\(657\) | 2372.80 | − | 696.717i | 0.140901 | − | 0.0413722i | ||||
\(658\) | 30873.1 | + | 67602.6i | 1.82912 | + | 4.00520i | ||||
\(659\) | −13675.3 | + | 8788.58i | −0.808367 | + | 0.519506i | −0.878336 | − | 0.478043i | \(-0.841346\pi\) |
0.0699693 | + | 0.997549i | \(0.477710\pi\) | |||||||
\(660\) | 2887.44 | + | 847.829i | 0.170293 | + | 0.0500026i | ||||
\(661\) | −1630.23 | − | 11338.5i | −0.0959283 | − | 0.667196i | −0.979876 | − | 0.199609i | \(-0.936033\pi\) |
0.883947 | − | 0.467587i | \(-0.154876\pi\) | |||||||
\(662\) | −12480.0 | + | 27327.5i | −0.732705 | + | 1.60440i | ||||
\(663\) | −315.686 | + | 2195.64i | −0.0184920 | + | 0.128615i | ||||
\(664\) | 10449.5 | + | 6715.51i | 0.610724 | + | 0.392488i | ||||
\(665\) | −2685.98 | − | 3099.79i | −0.156628 | − | 0.180759i | ||||
\(666\) | −11611.3 | −0.675566 | ||||||||
\(667\) | 170.232 | + | 22143.4i | 0.00988220 | + | 1.28545i | ||||
\(668\) | 13679.4 | 0.792325 | ||||||||
\(669\) | −6608.57 | − | 7626.69i | −0.381916 | − | 0.440755i | ||||
\(670\) | 4363.76 | + | 2804.42i | 0.251622 | + | 0.161708i | ||||
\(671\) | −4374.92 | + | 30428.3i | −0.251702 | + | 1.75063i | ||||
\(672\) | 2011.38 | − | 4404.32i | 0.115463 | − | 0.252828i | ||||
\(673\) | −4235.72 | − | 29460.1i | −0.242608 | − | 1.68737i | −0.638932 | − | 0.769263i | \(-0.720624\pi\) |
0.396325 | − | 0.918110i | \(-0.370286\pi\) | |||||||
\(674\) | 16586.7 | + | 4870.29i | 0.947916 | + | 0.278333i | ||||
\(675\) | −2780.05 | + | 1786.63i | −0.158525 | + | 0.101878i | ||||
\(676\) | −10341.6 | − | 22644.8i | −0.588391 | − | 1.28840i | ||||
\(677\) | 4893.27 | − | 1436.79i | 0.277790 | − | 0.0815664i | −0.139870 | − | 0.990170i | \(-0.544669\pi\) |
0.417660 | + | 0.908603i | \(0.362850\pi\) | |||||||
\(678\) | 3757.06 | − | 4335.87i | 0.212815 | − | 0.245602i | ||||
\(679\) | 11177.5 | − | 12899.5i | 0.631743 | − | 0.729070i | ||||
\(680\) | −1687.80 | + | 495.583i | −0.0951827 | + | 0.0279482i | ||||
\(681\) | 2962.88 | + | 6487.80i | 0.166722 | + | 0.365071i | ||||
\(682\) | −4053.22 | + | 2604.85i | −0.227575 | + | 0.146253i | ||||
\(683\) | −28420.7 | − | 8345.06i | −1.59222 | − | 0.467518i | −0.638853 | − | 0.769329i | \(-0.720591\pi\) |
−0.953368 | + | 0.301811i | \(0.902409\pi\) | |||||||
\(684\) | 1640.30 | + | 11408.5i | 0.0916937 | + | 0.637744i | ||||
\(685\) | 858.787 | − | 1880.48i | 0.0479016 | − | 0.104890i | ||||
\(686\) | 4849.53 | − | 33729.2i | 0.269906 | − | 1.87724i | ||||
\(687\) | 12505.2 | + | 8036.64i | 0.694476 | + | 0.446313i | ||||
\(688\) | −12456.5 | − | 14375.6i | −0.690262 | − | 0.796604i | ||||
\(689\) | 8131.18 | 0.449598 | ||||||||
\(690\) | −2352.26 | − | 1052.46i | −0.129781 | − | 0.0580675i | ||||
\(691\) | −16874.8 | −0.929010 | −0.464505 | − | 0.885570i | \(-0.653768\pi\) | ||||
−0.464505 | + | 0.885570i | \(0.653768\pi\) | |||||||
\(692\) | 39747.6 | + | 45871.2i | 2.18349 | + | 2.51989i | ||||
\(693\) | 9336.57 | + | 6000.25i | 0.511785 | + | 0.328904i | ||||
\(694\) | −3020.45 | + | 21007.7i | −0.165208 | + | 1.14905i | ||||
\(695\) | −837.613 | + | 1834.12i | −0.0457158 | + | 0.100104i | ||||
\(696\) | 3009.56 | + | 20931.9i | 0.163904 | + | 1.13998i | ||||
\(697\) | −1550.53 | − | 455.276i | −0.0842617 | − | 0.0247415i | ||||
\(698\) | 20290.3 | − | 13039.8i | 1.10029 | − | 0.707111i | ||||
\(699\) | −1004.10 | − | 2198.67i | −0.0543325 | − | 0.118972i | ||||
\(700\) | −54389.7 | + | 15970.3i | −2.93677 | + | 0.862313i | ||||
\(701\) | −616.850 | + | 711.883i | −0.0332355 | + | 0.0383558i | −0.772124 | − | 0.635472i | \(-0.780806\pi\) |
0.738888 | + | 0.673828i | \(0.235351\pi\) | |||||||
\(702\) | −2032.26 | + | 2345.35i | −0.109263 | + | 0.126096i | ||||
\(703\) | −21507.0 | + | 6315.04i | −1.15385 | + | 0.338800i | ||||
\(704\) | 10719.7 | + | 23472.9i | 0.573884 | + | 1.25663i | ||||
\(705\) | −2069.90 | + | 1330.24i | −0.110577 | + | 0.0710636i | ||||
\(706\) | 28062.2 | + | 8239.82i | 1.49594 | + | 0.439249i | ||||
\(707\) | 227.174 | + | 1580.03i | 0.0120845 | + | 0.0840496i | ||||
\(708\) | 15164.9 | − | 33206.4i | 0.804986 | − | 1.76267i | ||||
\(709\) | 4156.72 | − | 28910.6i | 0.220182 | − | 1.53140i | −0.517165 | − | 0.855886i | \(-0.673013\pi\) |
0.737347 | − | 0.675514i | \(-0.236078\pi\) | |||||||
\(710\) | −4164.33 | − | 2676.25i | −0.220119 | − | 0.141462i | ||||
\(711\) | 3886.03 | + | 4484.71i | 0.204975 | + | 0.236554i | ||||
\(712\) | −40074.1 | −2.10932 | ||||||||
\(713\) | 2454.46 | − | 1143.80i | 0.128921 | − | 0.0600781i | ||||
\(714\) | −13618.6 | −0.713814 | ||||||||
\(715\) | 1024.32 | + | 1182.13i | 0.0535769 | + | 0.0618310i | ||||
\(716\) | 10275.3 | + | 6603.51i | 0.536319 | + | 0.344671i | ||||
\(717\) | −1048.28 | + | 7290.98i | −0.0546010 | + | 0.379758i | ||||
\(718\) | −4982.32 | + | 10909.8i | −0.258968 | + | 0.567060i | ||||
\(719\) | 320.826 | + | 2231.39i | 0.0166409 | + | 0.115740i | 0.996449 | − | 0.0842015i | \(-0.0268339\pi\) |
−0.979808 | + | 0.199941i | \(0.935925\pi\) | |||||||
\(720\) | −657.707 | − | 193.120i | −0.0340435 | − | 0.00999606i | ||||
\(721\) | 14467.7 | − | 9297.83i | 0.747303 | − | 0.480263i | ||||
\(722\) | 335.905 | + | 735.530i | 0.0173145 | + | 0.0379135i | ||||
\(723\) | 8246.63 | − | 2421.43i | 0.424199 | − | 0.124556i | ||||
\(724\) | −27216.2 | + | 31409.1i | −1.39707 | + | 1.61231i | ||||
\(725\) | −16090.8 | + | 18569.8i | −0.824272 | + | 0.951261i | ||||
\(726\) | −4495.96 | + | 1320.13i | −0.229836 | + | 0.0674858i | ||||
\(727\) | −11824.3 | − | 25891.7i | −0.603219 | − | 1.32086i | −0.927117 | − | 0.374773i | \(-0.877721\pi\) |
0.323898 | − | 0.946092i | \(-0.395006\pi\) | |||||||
\(728\) | −21332.5 | + | 13709.6i | −1.08604 | + | 0.697954i | ||||
\(729\) | −699.470 | − | 205.383i | −0.0355368 | − | 0.0104345i | ||||
\(730\) | 304.526 | + | 2118.03i | 0.0154397 | + | 0.107386i | ||||
\(731\) | 5197.52 | − | 11381.0i | 0.262978 | − | 0.575842i | ||||
\(732\) | 4929.31 | − | 34284.1i | 0.248897 | − | 1.73111i | ||||
\(733\) | 2622.01 | + | 1685.06i | 0.132123 | + | 0.0849102i | 0.605033 | − | 0.796201i | \(-0.293160\pi\) |
−0.472910 | + | 0.881111i | \(0.656796\pi\) | |||||||
\(734\) | 6524.04 | + | 7529.14i | 0.328074 | + | 0.378618i | ||||
\(735\) | 2789.07 | 0.139968 | ||||||||
\(736\) | −1697.77 | − | 5621.82i | −0.0850279 | − | 0.281553i | ||||
\(737\) | −27095.7 | −1.35425 | ||||||||
\(738\) | −1480.51 | − | 1708.60i | −0.0738461 | − | 0.0852230i | ||||
\(739\) | −29491.7 | − | 18953.2i | −1.46803 | − | 0.943443i | −0.998156 | − | 0.0607075i | \(-0.980664\pi\) |
−0.469870 | − | 0.882735i | \(-0.655699\pi\) | |||||||
\(740\) | 938.431 | − | 6526.93i | 0.0466181 | − | 0.324236i | ||||
\(741\) | −2488.70 | + | 5449.49i | −0.123380 | + | 0.270165i | ||||
\(742\) | 7104.47 | + | 49412.7i | 0.351500 | + | 2.44474i | ||||
\(743\) | 13992.0 | + | 4108.41i | 0.690869 | + | 0.202857i | 0.608276 | − | 0.793726i | \(-0.291862\pi\) |
0.0825933 | + | 0.996583i | \(0.473680\pi\) | |||||||
\(744\) | 2175.47 | − | 1398.09i | 0.107200 | − | 0.0688930i | ||||
\(745\) | 2181.15 | + | 4776.05i | 0.107263 | + | 0.234874i | ||||
\(746\) | 2314.00 | − | 679.451i | 0.113568 | − | 0.0333465i | ||||
\(747\) | −2084.95 | + | 2406.16i | −0.102121 | + | 0.117854i | ||||
\(748\) | 12631.6 | − | 14577.7i | 0.617456 | − | 0.712583i | ||||
\(749\) | −24845.8 | + | 7295.39i | −1.21208 | + | 0.355898i | ||||
\(750\) | −2401.00 | − | 5257.45i | −0.116896 | − | 0.255966i | ||||
\(751\) | −11631.4 | + | 7475.04i | −0.565160 | + | 0.363206i | −0.791808 | − | 0.610770i | \(-0.790860\pi\) |
0.226647 | + | 0.973977i | \(0.427223\pi\) | |||||||
\(752\) | 23005.7 | + | 6755.10i | 1.11560 | + | 0.327571i | ||||
\(753\) | −398.796 | − | 2773.69i | −0.0193000 | − | 0.134235i | ||||
\(754\) | −9585.50 | + | 20989.3i | −0.462975 | + | 1.01377i | ||||
\(755\) | −44.4845 | + | 309.396i | −0.00214431 | + | 0.0149140i | ||||
\(756\) | −10519.7 | − | 6760.59i | −0.506081 | − | 0.325239i | ||||
\(757\) | −5326.22 | − | 6146.79i | −0.255726 | − | 0.295124i | 0.613341 | − | 0.789819i | \(-0.289825\pi\) |
−0.869067 | + | 0.494695i | \(0.835280\pi\) | |||||||
\(758\) | −9354.85 | −0.448263 | ||||||||
\(759\) | 13308.9 | − | 2018.07i | 0.636470 | − | 0.0965103i | ||||
\(760\) | −4750.78 | −0.226749 | ||||||||
\(761\) | 10575.3 | + | 12204.6i | 0.503752 | + | 0.581361i | 0.949488 | − | 0.313803i | \(-0.101603\pi\) |
−0.445736 | + | 0.895165i | \(0.647058\pi\) | |||||||
\(762\) | 29228.9 | + | 18784.3i | 1.38957 | + | 0.893021i | ||||
\(763\) | 4158.77 | − | 28924.9i | 0.197323 | − | 1.37241i | ||||
\(764\) | −8237.13 | + | 18036.8i | −0.390064 | + | 0.854121i | ||||
\(765\) | −64.1663 | − | 446.287i | −0.00303260 | − | 0.0210922i | ||||
\(766\) | −14805.6 | − | 4347.33i | −0.698368 | − | 0.205059i | ||||
\(767\) | 15962.5 | − | 10258.4i | 0.751461 | − | 0.482935i | ||||
\(768\) | −9517.15 | − | 20839.6i | −0.447162 | − | 0.979148i | ||||
\(769\) | 18333.6 | − | 5383.23i | 0.859722 | − | 0.252437i | 0.177984 | − | 0.984033i | \(-0.443043\pi\) |
0.681738 | + | 0.731596i | \(0.261224\pi\) | |||||||
\(770\) | −6288.75 | + | 7257.61i | −0.294326 | + | 0.339670i | ||||
\(771\) | 3231.01 | − | 3728.78i | 0.150923 | − | 0.174175i | ||||
\(772\) | 44006.3 | − | 12921.4i | 2.05158 | − | 0.602398i | ||||
\(773\) | 2455.14 | + | 5376.00i | 0.114237 | + | 0.250144i | 0.958111 | − | 0.286398i | \(-0.0924578\pi\) |
−0.843874 | + | 0.536541i | \(0.819731\pi\) | |||||||
\(774\) | 14725.4 | − | 9463.42i | 0.683840 | − | 0.439478i | ||||
\(775\) | 2882.99 | + | 846.524i | 0.133626 | + | 0.0392362i | ||||
\(776\) | −2813.57 | − | 19568.8i | −0.130156 | − | 0.905256i | ||||
\(777\) | 10102.4 | − | 22121.1i | 0.466436 | − | 1.02135i | ||||
\(778\) | 6481.63 | − | 45080.8i | 0.298686 | − | 2.07741i | ||||
\(779\) | −3671.55 | − | 2359.56i | −0.168867 | − | 0.108524i | ||||
\(780\) | −1154.12 | − | 1331.93i | −0.0529798 | − | 0.0611419i | ||||
\(781\) | 25857.4 | 1.18470 | ||||||||
\(782\) | −12399.7 | + | 10912.4i | −0.567024 | + | 0.499012i | ||||
\(783\) | −5420.38 | −0.247393 | ||||||||
\(784\) | −17798.4 | − | 20540.4i | −0.810785 | − | 0.935696i | ||||
\(785\) | −3335.25 | − | 2143.43i | −0.151643 | − | 0.0974553i | ||||
\(786\) | 596.095 | − | 4145.93i | 0.0270509 | − | 0.188143i | ||||
\(787\) | −15388.0 | + | 33695.0i | −0.696980 | + | 1.52617i | 0.146615 | + | 0.989194i | \(0.453162\pi\) |
−0.843595 | + | 0.536980i | \(0.819565\pi\) | |||||||
\(788\) | −628.304 | − | 4369.95i | −0.0284041 | − | 0.197555i | ||||
\(789\) | 3077.84 | + | 903.734i | 0.138877 | + | 0.0407779i | ||||
\(790\) | −4319.55 | + | 2776.01i | −0.194535 | + | 0.125020i | ||||
\(791\) | 4991.64 | + | 10930.2i | 0.224377 | + | 0.491317i | ||||
\(792\) | 12334.3 | − | 3621.67i | 0.553383 | − | 0.162488i | ||||
\(793\) | 11789.7 | − | 13606.0i | 0.527948 | − | 0.609285i | ||||
\(794\) | 14611.7 | − | 16862.8i | 0.653084 | − | 0.753700i | ||||
\(795\) | −1585.80 | + | 465.632i | −0.0707452 | + | 0.0207727i | ||||
\(796\) | −18136.4 | − | 39713.1i | −0.807571 | − | 1.76833i | ||||
\(797\) | 8904.63 | − | 5722.66i | 0.395757 | − | 0.254337i | −0.327593 | − | 0.944819i | \(-0.606238\pi\) |
0.723350 | + | 0.690481i | \(0.242601\pi\) | |||||||
\(798\) | −35290.6 | − | 10362.3i | −1.56551 | − | 0.459675i | ||||
\(799\) | 2244.46 | + | 15610.5i | 0.0993781 | + | 0.691190i | ||||
\(800\) | 2706.97 | − | 5927.43i | 0.119632 | − | 0.261958i | ||||
\(801\) | 1461.81 | − | 10167.1i | 0.0644825 | − | 0.448486i | ||||
\(802\) | −12993.5 | − | 8350.40i | −0.572089 | − | 0.367659i | ||||
\(803\) | −7319.64 | − | 8447.32i | −0.321675 | − | 0.371232i | ||||
\(804\) | 30529.3 | 1.33916 | ||||||||
\(805\) | 4051.68 | − | 3565.70i | 0.177395 | − | 0.156117i | ||||
\(806\) | 2821.67 | 0.123311 | ||||||||
\(807\) | 2483.35 | + | 2865.93i | 0.108325 | + | 0.125013i | ||||
\(808\) | 1555.41 | + | 999.604i | 0.0677219 | + | 0.0435222i | ||||
\(809\) | 2905.20 | − | 20206.1i | 0.126256 | − | 0.878133i | −0.823984 | − | 0.566614i | \(-0.808253\pi\) |
0.950240 | − | 0.311519i | \(-0.100838\pi\) | |||||||
\(810\) | 262.038 | − | 573.784i | 0.0113668 | − | 0.0248898i | ||||
\(811\) | 4066.58 | + | 28283.7i | 0.176075 | + | 1.22463i | 0.865737 | + | 0.500498i | \(0.166850\pi\) |
−0.689662 | + | 0.724131i | \(0.742241\pi\) | |||||||
\(812\) | −89211.4 | − | 26194.8i | −3.85555 | − | 1.13209i | ||||
\(813\) | −20543.8 | + | 13202.7i | −0.886227 | + | 0.569543i | ||||
\(814\) | 21801.3 | + | 47738.2i | 0.938742 | + | 2.05556i | ||||
\(815\) | −5982.37 | + | 1756.58i | −0.257121 | + | 0.0754974i | ||||
\(816\) | −2877.25 | + | 3320.53i | −0.123436 | + | 0.142453i | ||||
\(817\) | 22128.3 | − | 25537.4i | 0.947578 | − | 1.09356i | ||||
\(818\) | 24251.8 | − | 7120.98i | 1.03661 | − | 0.304375i | ||||
\(819\) | −2700.07 | − | 5912.32i | −0.115199 | − | 0.252251i | ||||
\(820\) | 1080.10 | − | 694.137i | 0.0459984 | − | 0.0295614i | ||||
\(821\) | 42071.5 | + | 12353.3i | 1.78843 | + | 0.525132i | 0.996356 | − | 0.0852879i | \(-0.0271810\pi\) |
0.792078 | + | 0.610420i | \(0.208999\pi\) | |||||||
\(822\) | −2638.26 | − | 18349.5i | −0.111946 | − | 0.778604i | ||||
\(823\) | −1679.54 | + | 3677.68i | −0.0711362 | + | 0.155767i | −0.941860 | − | 0.336006i | \(-0.890924\pi\) |
0.870724 | + | 0.491773i | \(0.163651\pi\) | |||||||
\(824\) | 2834.88 | − | 19717.0i | 0.119852 | − | 0.833586i | ||||
\(825\) | 12565.4 | + | 8075.27i | 0.530266 | + | 0.340781i | ||||
\(826\) | 76286.8 | + | 88039.7i | 3.21351 | + | 3.70859i | ||||
\(827\) | −31705.7 | −1.33315 | −0.666574 | − | 0.745439i | \(-0.732240\pi\) | ||||
−0.666574 | + | 0.745439i | \(0.732240\pi\) | |||||||
\(828\) | −14995.3 | + | 2273.80i | −0.629377 | + | 0.0954347i | ||||
\(829\) | −7737.73 | −0.324177 | −0.162088 | − | 0.986776i | \(-0.551823\pi\) | ||||
−0.162088 | + | 0.986776i | \(0.551823\pi\) | |||||||
\(830\) | −1804.06 | − | 2082.00i | −0.0754457 | − | 0.0870689i | ||||
\(831\) | −493.782 | − | 317.335i | −0.0206127 | − | 0.0132470i | ||||
\(832\) | 2150.72 | − | 14958.6i | 0.0896186 | − | 0.623311i | ||||
\(833\) | 7426.42 | − | 16261.6i | 0.308896 | − | 0.676387i | ||||
\(834\) | 2573.21 | + | 17897.1i | 0.106838 | + | 0.743076i | ||||
\(835\) | −1386.69 | − | 407.168i | −0.0574710 | − | 0.0168750i | ||||
\(836\) | 43825.0 | − | 28164.6i | 1.81306 | − | 1.16518i | ||||
\(837\) | 275.350 | + | 602.933i | 0.0113710 | + | 0.0248989i | ||||
\(838\) | −59051.8 | + | 17339.2i | −2.43426 | + | 0.714763i | ||||
\(839\) | −23450.1 | + | 27062.8i | −0.964943 | + | 1.11360i | 0.0285370 | + | 0.999593i | \(0.490915\pi\) |
−0.993480 | + | 0.114010i | \(0.963630\pi\) | |||||||
\(840\) | 3375.33 | − | 3895.34i | 0.138643 | − | 0.160002i | ||||
\(841\) | −15268.9 | + | 4483.36i | −0.626058 | + | 0.183827i | ||||
\(842\) | 7366.46 | + | 16130.3i | 0.301502 | + | 0.660198i | ||||
\(843\) | −83.6680 | + | 53.7702i | −0.00341836 | + | 0.00219685i | ||||
\(844\) | −77863.0 | − | 22862.7i | −3.17554 | − | 0.932423i | ||||
\(845\) | 374.302 | + | 2603.33i | 0.0152383 | + | 0.105985i | ||||
\(846\) | −9165.76 | + | 20070.2i | −0.372489 | + | 0.815636i | ||||
\(847\) | 1396.67 | − | 9714.04i | 0.0566589 | − | 0.394071i | ||||
\(848\) | 13548.9 | + | 8707.37i | 0.548670 | + | 0.352609i | ||||
\(849\) | −11675.2 | − | 13473.9i | −0.471959 | − | 0.544669i | ||||
\(850\) | −18328.2 | −0.739591 | ||||||||
\(851\) | −8527.21 | − | 28236.2i | −0.343489 | − | 1.13740i | ||||
\(852\) | −29134.0 | −1.17150 | ||||||||
\(853\) | 8084.86 | + | 9330.42i | 0.324525 | + | 0.374522i | 0.894445 | − | 0.447178i | \(-0.147571\pi\) |
−0.569919 | + | 0.821701i | \(0.693026\pi\) | |||||||
\(854\) | 92983.7 | + | 59757.0i | 3.72580 | + | 2.39443i | ||||
\(855\) | 173.298 | − | 1205.31i | 0.00693176 | − | 0.0482114i | ||||
\(856\) | −12459.6 | + | 27282.8i | −0.497501 | + | 1.08938i | ||||
\(857\) | −3018.34 | − | 20993.0i | −0.120309 | − | 0.836765i | −0.957206 | − | 0.289406i | \(-0.906542\pi\) |
0.836898 | − | 0.547359i | \(-0.184367\pi\) | |||||||
\(858\) | 13458.4 | + | 3951.74i | 0.535504 | + | 0.157238i | ||||
\(859\) | 35903.6 | − | 23073.8i | 1.42609 | − | 0.916495i | 0.426164 | − | 0.904646i | \(-0.359865\pi\) |
0.999930 | − | 0.0118490i | \(-0.00377175\pi\) | |||||||
\(860\) | 4129.47 | + | 9042.28i | 0.163737 | + | 0.358534i | ||||
\(861\) | 4543.26 | − | 1334.02i | 0.179830 | − | 0.0528029i | ||||
\(862\) | 47808.1 | − | 55173.5i | 1.88904 | − | 2.18007i | ||||
\(863\) | 7887.38 | − | 9102.52i | 0.311112 | − | 0.359042i | −0.578562 | − | 0.815638i | \(-0.696386\pi\) |
0.889674 | + | 0.456596i | \(0.150932\pi\) | |||||||
\(864\) | 1379.25 | − | 404.985i | 0.0543091 | − | 0.0159466i | ||||
\(865\) | −2663.87 | − | 5833.06i | −0.104710 | − | 0.229283i | ||||
\(866\) | 2470.01 | − | 1587.38i | 0.0969218 | − | 0.0622879i | ||||
\(867\) | 11369.0 | + | 3338.25i | 0.445344 | + | 0.130765i | ||||
\(868\) | 1618.09 | + | 11254.0i | 0.0632735 | + | 0.440077i | ||||
\(869\) | 11141.9 | − | 24397.4i | 0.434941 | − | 0.952389i | ||||
\(870\) | 667.475 | − | 4642.39i | 0.0260110 | − | 0.180910i | ||||
\(871\) | 13349.3 | + | 8579.10i | 0.519317 | + | 0.333745i | ||||
\(872\) | −22165.4 | − | 25580.2i | −0.860797 | − | 0.993412i | ||||
\(873\) | 5067.39 | 0.196455 | ||||||||
\(874\) | −40435.2 | + | 18843.2i | −1.56492 | + | 0.729267i | ||||
\(875\) | 12105.2 | 0.467692 | ||||||||
\(876\) | 8247.18 | + | 9517.75i | 0.318089 | + | 0.367095i | ||||
\(877\) | 18155.0 | + | 11667.5i | 0.699033 | + | 0.449241i | 0.841287 | − | 0.540589i | \(-0.181799\pi\) |
−0.142254 | + | 0.989830i | \(0.545435\pi\) | |||||||
\(878\) | 2708.72 | − | 18839.5i | 0.104117 | − | 0.724150i | ||||
\(879\) | −1905.47 | + | 4172.40i | −0.0731171 | + | 0.160104i | ||||
\(880\) | 440.923 | + | 3066.69i | 0.0168903 | + | 0.117475i | ||||
\(881\) | −29461.7 | − | 8650.72i | −1.12666 | − | 0.330818i | −0.335267 | − | 0.942123i | \(-0.608826\pi\) |
−0.791395 | + | 0.611306i | \(0.790645\pi\) | |||||||
\(882\) | 21040.2 | − | 13521.7i | 0.803243 | − | 0.516213i | ||||
\(883\) | 6778.79 | + | 14843.5i | 0.258352 | + | 0.565711i | 0.993712 | − | 0.111965i | \(-0.0357144\pi\) |
−0.735361 | + | 0.677676i | \(0.762987\pi\) | |||||||
\(884\) | −10838.9 | + | 3182.58i | −0.412387 | + | 0.121088i | ||||
\(885\) | −2525.66 | + | 2914.76i | −0.0959311 | + | 0.110710i | ||||
\(886\) | −16749.6 | + | 19330.1i | −0.635119 | + | 0.732966i | ||||
\(887\) | −34255.9 | + | 10058.4i | −1.29673 | + | 0.380755i | −0.856043 | − | 0.516905i | \(-0.827084\pi\) |
−0.440689 | + | 0.897660i | \(0.645266\pi\) | |||||||
\(888\) | −11701.3 | − | 25622.3i | −0.442197 | − | 0.968276i | ||||
\(889\) | −61217.4 | + | 39342.0i | −2.30952 | + | 1.48424i | ||||
\(890\) | 8527.81 | + | 2503.99i | 0.321183 | + | 0.0943078i | ||||
\(891\) | 468.921 | + | 3261.41i | 0.0176312 | + | 0.122628i | ||||
\(892\) | 21349.0 | − | 46747.8i | 0.801365 | − | 1.75474i | ||||
\(893\) | −6061.73 | + | 42160.2i | −0.227153 | + | 1.57989i | ||||
\(894\) | 39609.0 | + | 25455.2i | 1.48179 | + | 0.952291i | ||||
\(895\) | −845.053 | − | 975.243i | −0.0315609 | − | 0.0364232i | ||||
\(896\) | 79869.7 | 2.97797 | ||||||||
\(897\) | −7195.88 | − | 3219.63i | −0.267852 | − | 0.119844i | ||||
\(898\) | 4179.05 | 0.155297 | ||||||||
\(899\) | 3227.41 | + | 3724.63i | 0.119733 | + | 0.138180i | ||||
\(900\) | −14157.6 | − | 9098.55i | −0.524357 | − | 0.336983i | ||||
\(901\) | −1507.63 | + | 10485.8i | −0.0557452 | + | 0.387716i | ||||
\(902\) | −4244.90 | + | 9295.03i | −0.156696 | + | 0.343116i | ||||
\(903\) | 5217.37 | + | 36287.6i | 0.192274 | + | 1.33729i | ||||
\(904\) | 13354.1 | + | 3921.11i | 0.491317 | + | 0.144264i | ||||
\(905\) | 3693.81 | − | 2373.87i | 0.135675 | − | 0.0871933i | ||||
\(906\) | 1164.41 | + | 2549.69i | 0.0426985 | + | 0.0934966i | ||||
\(907\) | 22410.3 | − | 6580.27i | 0.820422 | − | 0.240898i | 0.155524 | − | 0.987832i | \(-0.450293\pi\) |
0.664898 | + | 0.746934i | \(0.268475\pi\) | |||||||
\(908\) | −23785.8 | + | 27450.3i | −0.869339 | + | 1.00327i | ||||
\(909\) | −310.346 | + | 358.158i | −0.0113240 | + | 0.0130686i | ||||
\(910\) | 5396.22 | − | 1584.47i | 0.196575 | − | 0.0577195i | ||||
\(911\) | −15138.4 | − | 33148.4i | −0.550556 | − | 1.20555i | −0.956522 | − | 0.291661i | \(-0.905792\pi\) |
0.405966 | − | 0.913888i | \(-0.366935\pi\) | |||||||
\(912\) | −9982.55 | + | 6415.39i | −0.362451 | + | 0.232933i | ||||
\(913\) | 13807.4 | + | 4054.21i | 0.500501 | + | 0.146960i | ||||
\(914\) | −2132.23 | − | 14830.0i | −0.0771639 | − | 0.536687i | ||||
\(915\) | −1520.15 | + | 3328.67i | −0.0549231 | + | 0.120265i | ||||
\(916\) | −10773.4 | + | 74930.6i | −0.388606 | + | 2.70281i | ||||
\(917\) | 7379.97 | + | 4742.82i | 0.265767 | + | 0.170798i | ||||
\(918\) | −2647.71 | − | 3055.62i | −0.0951932 | − | 0.109859i | ||||
\(919\) | −30147.2 | −1.08212 | −0.541058 | − | 0.840985i | \(-0.681976\pi\) | ||||
−0.541058 | + | 0.840985i | \(0.681976\pi\) | |||||||
\(920\) | −48.0583 | − | 6251.32i | −0.00172221 | − | 0.224021i | ||||
\(921\) | 24749.7 | 0.885485 | ||||||||
\(922\) | −22210.3 | − | 25632.0i | −0.793337 | − | 0.915559i | ||||
\(923\) | −12739.2 | − | 8187.02i | −0.454298 | − | 0.291960i | ||||
\(924\) | −8043.55 | + | 55944.1i | −0.286378 | + | 1.99180i | ||||
\(925\) | 13596.0 | − | 29771.1i | 0.483280 | − | 1.05824i | ||||
\(926\) | −9538.13 | − | 66339.1i | −0.338491 | − | 2.35425i | ||||
\(927\) | 4898.95 | + | 1438.46i | 0.173574 | + | 0.0509658i | ||||
\(928\) | 8991.47 | − | 5778.47i | 0.318060 | − | 0.204405i | ||||
\(929\) | −15397.5 | − | 33715.9i | −0.543785 | − | 1.19072i | −0.959624 | − | 0.281285i | \(-0.909239\pi\) |
0.415839 | − | 0.909438i | \(-0.363488\pi\) | |||||||
\(930\) | −550.301 | + | 161.583i | −0.0194033 | + | 0.00569732i | ||||
\(931\) | 31617.8 | − | 36488.9i | 1.11303 | − | 1.28451i | ||||
\(932\) | 8060.83 | − | 9302.69i | 0.283306 | − | 0.326952i | ||||
\(933\) | 29150.2 | − | 8559.27i | 1.02287 | − | 0.300341i | ||||
\(934\) | 2523.45 | + | 5525.58i | 0.0884043 | + | 0.193579i | ||||
\(935\) | −1714.37 | + | 1101.76i | −0.0599637 | + | 0.0385363i | ||||
\(936\) | −7223.47 | − | 2121.00i | −0.252250 | − | 0.0740674i | ||||
\(937\) | −2749.57 | − | 19123.7i | −0.0958641 | − | 0.666749i | −0.979923 | − | 0.199374i | \(-0.936109\pi\) |
0.884059 | − | 0.467375i | \(-0.154800\pi\) | |||||||
\(938\) | −40470.9 | + | 88618.9i | −1.40877 | + | 3.08477i | ||||
\(939\) | −1295.75 | + | 9012.13i | −0.0450321 | + | 0.313205i | ||||
\(940\) | −10541.1 | − | 6774.36i | −0.365759 | − | 0.235059i | ||||
\(941\) | −26048.2 | − | 30061.2i | −0.902386 | − | 1.04141i | −0.998938 | − | 0.0460815i | \(-0.985327\pi\) |
0.0965512 | − | 0.995328i | \(-0.469219\pi\) | |||||||
\(942\) | −35552.1 | −1.22967 | ||||||||
\(943\) | 3067.69 | − | 4855.08i | 0.105936 | − | 0.167660i | ||||
\(944\) | 37583.5 | 1.29580 | ||||||||
\(945\) | 865.155 | + | 998.442i | 0.0297815 | + | 0.0343697i | ||||
\(946\) | −66556.1 | − | 42773.0i | −2.28745 | − | 1.47005i | ||||
\(947\) | −600.435 | + | 4176.12i | −0.0206035 | + | 0.143301i | −0.997527 | − | 0.0702912i | \(-0.977607\pi\) |
0.976923 | + | 0.213592i | \(0.0685162\pi\) | |||||||
\(948\) | −12553.8 | + | 27489.0i | −0.430094 | + | 0.941775i | ||||
\(949\) | 931.586 | + | 6479.33i | 0.0318657 | + | 0.221631i | ||||
\(950\) | −47494.9 | − | 13945.8i | −1.62204 | − | 0.476274i | ||||
\(951\) | −14164.7 | + | 9103.10i | −0.482988 | + | 0.310398i | ||||
\(952\) | −13724.2 | − | 30051.9i | −0.467232 | − | 1.02310i | ||||
\(953\) | 5726.55 | − | 1681.47i | 0.194650 | − | 0.0571543i | −0.182955 | − | 0.983121i | \(-0.558566\pi\) |
0.377604 | + | 0.925967i | \(0.376748\pi\) | |||||||
\(954\) | −9705.52 | + | 11200.8i | −0.329379 | + | 0.380124i | ||||
\(955\) | 1371.87 | − | 1583.22i | 0.0464844 | − | 0.0536458i | ||||
\(956\) | −35992.2 | + | 10568.3i | −1.21765 | + | 0.357533i | ||||
\(957\) | 10177.3 | + | 22285.2i | 0.343768 | + | 0.752748i | ||||
\(958\) | 37059.8 | − | 23816.9i | 1.24984 | − | 0.803223i | ||||
\(959\) | 37253.9 | + | 10938.7i | 1.25442 | + | 0.368332i | ||||
\(960\) | 437.155 | + | 3040.48i | 0.0146970 | + | 0.102220i | ||||
\(961\) | −12125.3 | + | 26550.6i | −0.407011 | + | 0.891230i | ||||
\(962\) | 4374.04 | − | 30422.1i | 0.146595 | − | 1.01959i | ||||
\(963\) | −6467.36 | − | 4156.32i | −0.216415 | − | 0.139082i | ||||
\(964\) | 28662.9 | + | 33078.8i | 0.957647 | + | 1.10518i | ||||
\(965\) | −4845.54 | −0.161641 | ||||||||
\(966\) | 13278.2 | − | 46542.0i | 0.442256 | − | 1.55017i | ||||
\(967\) | 20217.5 | 0.672338 | 0.336169 | − | 0.941802i | \(-0.390869\pi\) | ||||
0.336169 | + | 0.941802i | \(0.390869\pi\) | |||||||
\(968\) | −7443.94 | − | 8590.77i | −0.247167 | − | 0.285246i | ||||
\(969\) | −6566.10 | − | 4219.78i | −0.217682 | − | 0.139896i | ||||
\(970\) | −624.008 | + | 4340.07i | −0.0206553 | + | 0.143661i | ||||
\(971\) | −15108.2 | + | 33082.3i | −0.499324 | + | 1.09337i | 0.477364 | + | 0.878706i | \(0.341592\pi\) |
−0.976688 | + | 0.214662i | \(0.931135\pi\) | |||||||
\(972\) | −528.342 | − | 3674.70i | −0.0174347 | − | 0.121261i | ||||
\(973\) | −36335.4 | − | 10669.0i | −1.19718 | − | 0.351525i | ||||
\(974\) | −11787.7 | + | 7575.51i | −0.387786 | + | 0.249215i | ||||
\(975\) | −3633.81 | − | 7956.93i | −0.119359 | − | 0.261360i | ||||
\(976\) | 34215.2 | − | 10046.5i | 1.12213 | − | 0.329488i | ||||
\(977\) | 6173.21 | − | 7124.27i | 0.202148 | − | 0.233291i | −0.645620 | − | 0.763659i | \(-0.723401\pi\) |
0.847768 | + | 0.530368i | \(0.177946\pi\) | |||||||
\(978\) | −36613.8 | + | 42254.6i | −1.19712 | + | 1.38155i | ||||
\(979\) | −44545.5 | + | 13079.8i | −1.45422 | + | 0.426998i | ||||
\(980\) | 5900.35 | + | 12920.0i | 0.192326 | + | 0.421136i | ||||
\(981\) | 7298.45 | − | 4690.43i | 0.237535 | − | 0.152654i | ||||
\(982\) | 23119.9 | + | 6788.62i | 0.751310 | + | 0.220604i | ||||
\(983\) | −4567.22 | − | 31765.7i | −0.148191 | − | 1.03069i | −0.919179 | − | 0.393841i | \(-0.871146\pi\) |
0.770988 | − | 0.636850i | \(-0.219763\pi\) | |||||||
\(984\) | 2278.34 | − | 4988.88i | 0.0738119 | − | 0.161626i | ||||
\(985\) | −66.3802 | + | 461.685i | −0.00214726 | + | 0.0149345i | ||||
\(986\) | −25290.1 | − | 16253.0i | −0.816836 | − | 0.524949i | ||||
\(987\) | −30262.0 | − | 34924.2i | −0.975938 | − | 1.12629i | ||||
\(988\) | −30508.9 | −0.982407 | ||||||||
\(989\) | 33827.3 | + | 28859.2i | 1.08761 | + | 0.927876i | ||||
\(990\) | −2851.05 | −0.0915275 | ||||||||
\(991\) | 1339.17 | + | 1545.48i | 0.0429264 | + | 0.0495398i | 0.776807 | − | 0.629739i | \(-0.216838\pi\) |
−0.733880 | + | 0.679279i | \(0.762293\pi\) | |||||||
\(992\) | −1099.52 | − | 706.620i | −0.0351914 | − | 0.0226161i | ||||
\(993\) | 2658.49 | − | 18490.2i | 0.0849594 | − | 0.590905i | ||||
\(994\) | 38621.3 | − | 84568.9i | 1.23239 | − | 2.69855i | ||||
\(995\) | 656.428 | + | 4565.56i | 0.0209147 | + | 0.145465i | ||||
\(996\) | −15557.0 | − | 4567.95i | −0.494923 | − | 0.145322i | ||||
\(997\) | −26010.0 | + | 16715.6i | −0.826224 | + | 0.530982i | −0.884076 | − | 0.467343i | \(-0.845211\pi\) |
0.0578517 | + | 0.998325i | \(0.481575\pi\) | |||||||
\(998\) | 10925.9 | + | 23924.4i | 0.346546 | + | 0.758830i | ||||
\(999\) | 6927.43 | − | 2034.08i | 0.219394 | − | 0.0644197i |
(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 | 69.4.e.a.13.1 | ✓ | 60 | |
3.2 | odd | 2 | 207.4.i.c.82.6 | 60 | |||
23.4 | even | 11 | 1587.4.a.t.1.28 | 30 | |||
23.16 | even | 11 | inner | 69.4.e.a.16.1 | yes | 60 | |
23.19 | odd | 22 | 1587.4.a.u.1.28 | 30 | |||
69.62 | odd | 22 | 207.4.i.c.154.6 | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
69.4.e.a.13.1 | ✓ | 60 | 1.1 | even | 1 | trivial | |
69.4.e.a.16.1 | yes | 60 | 23.16 | even | 11 | inner | |
207.4.i.c.82.6 | 60 | 3.2 | odd | 2 | |||
207.4.i.c.154.6 | 60 | 69.62 | odd | 22 | |||
1587.4.a.t.1.28 | 30 | 23.4 | even | 11 | |||
1587.4.a.u.1.28 | 30 | 23.19 | odd | 22 |