Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [105,4,Mod(104,105)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(105, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 1]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("105.104");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 105 = 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 105.g (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.19520055060\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 104.30 | ||
Character | \(\chi\) | \(=\) | 105.104 |
Dual form | 105.4.g.b.104.29 |
$q$-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 \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).
\(n\) | \(22\) | \(31\) | \(71\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 3.23327 | 1.14313 | 0.571567 | − | 0.820555i | \(-0.306336\pi\) | ||||
0.571567 | + | 0.820555i | \(0.306336\pi\) | |||||||
\(3\) | −3.88311 | + | 3.45274i | −0.747305 | + | 0.664481i | ||||
\(4\) | 2.45405 | 0.306756 | ||||||||
\(5\) | −8.12252 | − | 7.68276i | −0.726500 | − | 0.687167i | ||||
\(6\) | −12.5552 | + | 11.1637i | −0.854271 | + | 0.759591i | ||||
\(7\) | −17.9067 | + | 4.72745i | −0.966873 | + | 0.255258i | ||||
\(8\) | −17.9316 | −0.792471 | ||||||||
\(9\) | 3.15713 | − | 26.8148i | 0.116931 | − | 0.993140i | ||||
\(10\) | −26.2623 | − | 24.8404i | −0.830487 | − | 0.785524i | ||||
\(11\) | 0.605380i | 0.0165935i | 0.999966 | + | 0.00829677i | \(0.00264098\pi\) | ||||
−0.999966 | + | 0.00829677i | \(0.997359\pi\) | |||||||
\(12\) | −9.52936 | + | 8.47321i | −0.229241 | + | 0.203834i | ||||
\(13\) | 12.8386 | 0.273906 | 0.136953 | − | 0.990578i | \(-0.456269\pi\) | ||||
0.136953 | + | 0.990578i | \(0.456269\pi\) | |||||||
\(14\) | −57.8974 | + | 15.2851i | −1.10527 | + | 0.291794i | ||||
\(15\) | 58.0672 | + | 1.78805i | 0.999526 | + | 0.0307782i | ||||
\(16\) | −77.6100 | −1.21266 | ||||||||
\(17\) | 117.765i | 1.68013i | 0.542487 | + | 0.840064i | \(0.317483\pi\) | ||||
−0.542487 | + | 0.840064i | \(0.682517\pi\) | |||||||
\(18\) | 10.2079 | − | 86.6995i | 0.133668 | − | 1.13529i | ||||
\(19\) | − | 98.5363i | − | 1.18978i | −0.803808 | − | 0.594889i | \(-0.797196\pi\) | ||
0.803808 | − | 0.594889i | \(-0.202804\pi\) | |||||||
\(20\) | −19.9331 | − | 18.8539i | −0.222858 | − | 0.210793i | ||||
\(21\) | 53.2112 | − | 80.1846i | 0.552935 | − | 0.833224i | ||||
\(22\) | 1.95736i | 0.0189687i | ||||||||
\(23\) | −136.085 | −1.23373 | −0.616865 | − | 0.787069i | \(-0.711597\pi\) | ||||
−0.616865 | + | 0.787069i | \(0.711597\pi\) | |||||||
\(24\) | 69.6303 | − | 61.9131i | 0.592218 | − | 0.526581i | ||||
\(25\) | 6.95051 | + | 124.807i | 0.0556040 | + | 0.998453i | ||||
\(26\) | 41.5106 | 0.313112 | ||||||||
\(27\) | 80.3251 | + | 115.026i | 0.572539 | + | 0.819877i | ||||
\(28\) | −43.9440 | + | 11.6014i | −0.296594 | + | 0.0783021i | ||||
\(29\) | 77.5484i | 0.496565i | 0.968688 | + | 0.248283i | \(0.0798661\pi\) | ||||
−0.968688 | + | 0.248283i | \(0.920134\pi\) | |||||||
\(30\) | 187.747 | + | 5.78126i | 1.14259 | + | 0.0351836i | ||||
\(31\) | − | 131.050i | − | 0.759267i | −0.925137 | − | 0.379633i | \(-0.876050\pi\) | ||
0.925137 | − | 0.379633i | \(-0.123950\pi\) | |||||||
\(32\) | −107.482 | −0.593759 | ||||||||
\(33\) | −2.09022 | − | 2.35076i | −0.0110261 | − | 0.0124004i | ||||
\(34\) | 380.766i | 1.92061i | ||||||||
\(35\) | 181.768 | + | 99.1743i | 0.877838 | + | 0.478958i | ||||
\(36\) | 7.74776 | − | 65.8048i | 0.0358693 | − | 0.304652i | ||||
\(37\) | 260.419i | 1.15710i | 0.815648 | + | 0.578548i | \(0.196381\pi\) | ||||
−0.815648 | + | 0.578548i | \(0.803619\pi\) | |||||||
\(38\) | − | 318.595i | − | 1.36008i | ||||||
\(39\) | −49.8536 | + | 44.3283i | −0.204692 | + | 0.182005i | ||||
\(40\) | 145.649 | + | 137.764i | 0.575730 | + | 0.544559i | ||||
\(41\) | 58.0698 | 0.221195 | 0.110597 | − | 0.993865i | \(-0.464724\pi\) | ||||
0.110597 | + | 0.993865i | \(0.464724\pi\) | |||||||
\(42\) | 172.046 | − | 259.259i | 0.632079 | − | 0.952487i | ||||
\(43\) | − | 519.487i | − | 1.84235i | −0.389150 | − | 0.921174i | \(-0.627231\pi\) | ||
0.389150 | − | 0.921174i | \(-0.372769\pi\) | |||||||
\(44\) | 1.48563i | 0.00509018i | ||||||||
\(45\) | −231.655 | + | 193.548i | −0.767403 | + | 0.641165i | ||||
\(46\) | −440.001 | −1.41032 | ||||||||
\(47\) | − | 104.603i | − | 0.324638i | −0.986738 | − | 0.162319i | \(-0.948103\pi\) | ||
0.986738 | − | 0.162319i | \(-0.0518973\pi\) | |||||||
\(48\) | 301.369 | − | 267.968i | 0.906225 | − | 0.805787i | ||||
\(49\) | 298.302 | − | 169.306i | 0.869687 | − | 0.493604i | ||||
\(50\) | 22.4729 | + | 403.534i | 0.0635629 | + | 1.14137i | ||||
\(51\) | −406.612 | − | 457.294i | −1.11641 | − | 1.25557i | ||||
\(52\) | 31.5065 | 0.0840225 | ||||||||
\(53\) | −550.436 | −1.42657 | −0.713285 | − | 0.700874i | \(-0.752794\pi\) | ||||
−0.713285 | + | 0.700874i | \(0.752794\pi\) | |||||||
\(54\) | 259.713 | + | 371.909i | 0.654490 | + | 0.937230i | ||||
\(55\) | 4.65099 | − | 4.91721i | 0.0114025 | − | 0.0120552i | ||||
\(56\) | 321.096 | − | 84.7705i | 0.766218 | − | 0.202285i | ||||
\(57\) | 340.221 | + | 382.628i | 0.790584 | + | 0.889127i | ||||
\(58\) | 250.735i | 0.567641i | ||||||||
\(59\) | −498.426 | −1.09982 | −0.549911 | − | 0.835223i | \(-0.685338\pi\) | ||||
−0.549911 | + | 0.835223i | \(0.685338\pi\) | |||||||
\(60\) | 142.500 | + | 4.38797i | 0.306611 | + | 0.00944142i | ||||
\(61\) | 172.038i | 0.361101i | 0.983566 | + | 0.180551i | \(0.0577880\pi\) | ||||
−0.983566 | + | 0.180551i | \(0.942212\pi\) | |||||||
\(62\) | − | 423.720i | − | 0.867944i | ||||||
\(63\) | 70.2315 | + | 495.090i | 0.140450 | + | 0.990088i | ||||
\(64\) | 273.362 | 0.533910 | ||||||||
\(65\) | −104.282 | − | 98.6356i | −0.198993 | − | 0.188219i | ||||
\(66\) | −6.75826 | − | 7.60065i | −0.0126043 | − | 0.0141754i | ||||
\(67\) | − | 622.829i | − | 1.13568i | −0.823139 | − | 0.567840i | \(-0.807779\pi\) | ||
0.823139 | − | 0.567840i | \(-0.192221\pi\) | |||||||
\(68\) | 289.001i | 0.515390i | ||||||||
\(69\) | 528.435 | − | 469.868i | 0.921973 | − | 0.819789i | ||||
\(70\) | 587.704 | + | 320.658i | 1.00349 | + | 0.547513i | ||||
\(71\) | 151.768i | 0.253684i | 0.991923 | + | 0.126842i | \(0.0404842\pi\) | ||||
−0.991923 | + | 0.126842i | \(0.959516\pi\) | |||||||
\(72\) | −56.6123 | + | 480.831i | −0.0926642 | + | 0.787034i | ||||
\(73\) | 242.271 | 0.388435 | 0.194217 | − | 0.980959i | \(-0.437783\pi\) | ||||
0.194217 | + | 0.980959i | \(0.437783\pi\) | |||||||
\(74\) | 842.005i | 1.32272i | ||||||||
\(75\) | −457.915 | − | 460.640i | −0.705006 | − | 0.709201i | ||||
\(76\) | − | 241.813i | − | 0.364972i | ||||||
\(77\) | −2.86190 | − | 10.8404i | −0.00423564 | − | 0.0160439i | ||||
\(78\) | −161.190 | + | 143.325i | −0.233990 | + | 0.208057i | ||||
\(79\) | 94.6776 | 0.134836 | 0.0674181 | − | 0.997725i | \(-0.478524\pi\) | ||||
0.0674181 | + | 0.997725i | \(0.478524\pi\) | |||||||
\(80\) | 630.389 | + | 596.259i | 0.880995 | + | 0.833297i | ||||
\(81\) | −709.065 | − | 169.316i | −0.972654 | − | 0.232257i | ||||
\(82\) | 187.756 | 0.252855 | ||||||||
\(83\) | 779.959i | 1.03147i | 0.856750 | + | 0.515733i | \(0.172480\pi\) | ||||
−0.856750 | + | 0.515733i | \(0.827520\pi\) | |||||||
\(84\) | 130.583 | − | 196.777i | 0.169616 | − | 0.255597i | ||||
\(85\) | 904.759 | − | 956.547i | 1.15453 | − | 1.22061i | ||||
\(86\) | − | 1679.64i | − | 2.10605i | ||||||
\(87\) | −267.755 | − | 301.129i | −0.329958 | − | 0.371086i | ||||
\(88\) | − | 10.8554i | − | 0.0131499i | ||||||
\(89\) | −1000.67 | −1.19180 | −0.595902 | − | 0.803057i | \(-0.703205\pi\) | ||||
−0.595902 | + | 0.803057i | \(0.703205\pi\) | |||||||
\(90\) | −749.005 | + | 625.793i | −0.877245 | + | 0.732938i | ||||
\(91\) | −229.897 | + | 60.6937i | −0.264832 | + | 0.0699168i | ||||
\(92\) | −333.961 | −0.378454 | ||||||||
\(93\) | 452.482 | + | 508.882i | 0.504518 | + | 0.567404i | ||||
\(94\) | − | 338.211i | − | 0.371104i | ||||||
\(95\) | −757.030 | + | 800.363i | −0.817576 | + | 0.864373i | ||||
\(96\) | 417.364 | − | 371.107i | 0.443720 | − | 0.394542i | ||||
\(97\) | −1127.53 | −1.18024 | −0.590120 | − | 0.807316i | \(-0.700920\pi\) | ||||
−0.590120 | + | 0.807316i | \(0.700920\pi\) | |||||||
\(98\) | 964.493 | − | 547.413i | 0.994169 | − | 0.564256i | ||||
\(99\) | 16.2331 | + | 1.91126i | 0.0164797 | + | 0.00194030i | ||||
\(100\) | 17.0569 | + | 306.282i | 0.0170569 | + | 0.306282i | ||||
\(101\) | −485.611 | −0.478416 | −0.239208 | − | 0.970968i | \(-0.576888\pi\) | ||||
−0.239208 | + | 0.970968i | \(0.576888\pi\) | |||||||
\(102\) | −1314.69 | − | 1478.56i | −1.27621 | − | 1.43528i | ||||
\(103\) | −1560.10 | −1.49244 | −0.746218 | − | 0.665702i | \(-0.768132\pi\) | ||||
−0.746218 | + | 0.665702i | \(0.768132\pi\) | |||||||
\(104\) | −230.216 | −0.217063 | ||||||||
\(105\) | −1048.25 | + | 242.492i | −0.974271 | + | 0.225379i | ||||
\(106\) | −1779.71 | −1.63076 | ||||||||
\(107\) | 756.538 | 0.683526 | 0.341763 | − | 0.939786i | \(-0.388976\pi\) | ||||
0.341763 | + | 0.939786i | \(0.388976\pi\) | |||||||
\(108\) | 197.122 | + | 282.279i | 0.175630 | + | 0.251503i | ||||
\(109\) | −795.599 | −0.699124 | −0.349562 | − | 0.936913i | \(-0.613670\pi\) | ||||
−0.349562 | + | 0.936913i | \(0.613670\pi\) | |||||||
\(110\) | 15.0379 | − | 15.8987i | 0.0130346 | − | 0.0137807i | ||||
\(111\) | −899.159 | − | 1011.24i | −0.768868 | − | 0.864704i | ||||
\(112\) | 1389.74 | − | 366.897i | 1.17249 | − | 0.309541i | ||||
\(113\) | 391.491 | 0.325915 | 0.162957 | − | 0.986633i | \(-0.447897\pi\) | ||||
0.162957 | + | 0.986633i | \(0.447897\pi\) | |||||||
\(114\) | 1100.03 | + | 1237.14i | 0.903744 | + | 1.01639i | ||||
\(115\) | 1105.36 | + | 1045.51i | 0.896304 | + | 0.847778i | ||||
\(116\) | 190.308i | 0.152324i | ||||||||
\(117\) | 40.5331 | − | 344.264i | 0.0320281 | − | 0.272027i | ||||
\(118\) | −1611.55 | −1.25724 | ||||||||
\(119\) | −556.727 | − | 2108.78i | −0.428866 | − | 1.62447i | ||||
\(120\) | −1041.24 | − | 32.0626i | −0.792095 | − | 0.0243908i | ||||
\(121\) | 1330.63 | 0.999725 | ||||||||
\(122\) | 556.245i | 0.412788i | ||||||||
\(123\) | −225.492 | + | 200.500i | −0.165300 | + | 0.146980i | ||||
\(124\) | − | 321.603i | − | 0.232910i | ||||||
\(125\) | 902.403 | − | 1067.14i | 0.645707 | − | 0.763585i | ||||
\(126\) | 227.078 | + | 1600.76i | 0.160553 | + | 1.13180i | ||||
\(127\) | 1360.11i | 0.950314i | 0.879901 | + | 0.475157i | \(0.157609\pi\) | ||||
−0.879901 | + | 0.475157i | \(0.842391\pi\) | |||||||
\(128\) | 1743.71 | 1.20409 | ||||||||
\(129\) | 1793.65 | + | 2017.23i | 1.22421 | + | 1.37680i | ||||
\(130\) | −337.171 | − | 318.916i | −0.227475 | − | 0.215160i | ||||
\(131\) | 1235.28 | 0.823871 | 0.411935 | − | 0.911213i | \(-0.364853\pi\) | ||||
0.411935 | + | 0.911213i | \(0.364853\pi\) | |||||||
\(132\) | −5.12951 | − | 5.76888i | −0.00338232 | − | 0.00380392i | ||||
\(133\) | 465.825 | + | 1764.46i | 0.303700 | + | 1.15036i | ||||
\(134\) | − | 2013.77i | − | 1.29824i | ||||||
\(135\) | 231.272 | − | 1551.41i | 0.147442 | − | 0.989071i | ||||
\(136\) | − | 2111.71i | − | 1.33145i | ||||||
\(137\) | −141.306 | −0.0881213 | −0.0440606 | − | 0.999029i | \(-0.514029\pi\) | ||||
−0.0440606 | + | 0.999029i | \(0.514029\pi\) | |||||||
\(138\) | 1708.57 | − | 1519.21i | 1.05394 | − | 0.937130i | ||||
\(139\) | 894.717i | 0.545963i | 0.962019 | + | 0.272982i | \(0.0880098\pi\) | ||||
−0.962019 | + | 0.272982i | \(0.911990\pi\) | |||||||
\(140\) | 446.067 | + | 243.379i | 0.269282 | + | 0.146923i | ||||
\(141\) | 361.168 | + | 406.187i | 0.215715 | + | 0.242603i | ||||
\(142\) | 490.709i | 0.289995i | ||||||||
\(143\) | 7.77222i | 0.00454507i | ||||||||
\(144\) | −245.025 | + | 2081.10i | −0.141797 | + | 1.20434i | ||||
\(145\) | 595.786 | − | 629.888i | 0.341223 | − | 0.360754i | ||||
\(146\) | 783.330 | 0.444033 | ||||||||
\(147\) | −573.771 | + | 1687.40i | −0.321931 | + | 0.946763i | ||||
\(148\) | 639.081i | 0.354947i | ||||||||
\(149\) | 2252.95i | 1.23872i | 0.785108 | + | 0.619359i | \(0.212608\pi\) | ||||
−0.785108 | + | 0.619359i | \(0.787392\pi\) | |||||||
\(150\) | −1480.56 | − | 1489.37i | −0.805917 | − | 0.810713i | ||||
\(151\) | −835.424 | −0.450237 | −0.225119 | − | 0.974331i | \(-0.572277\pi\) | ||||
−0.225119 | + | 0.974331i | \(0.572277\pi\) | |||||||
\(152\) | 1766.91i | 0.942864i | ||||||||
\(153\) | 3157.84 | + | 371.799i | 1.66860 | + | 0.196459i | ||||
\(154\) | −9.25331 | − | 35.0499i | −0.00484190 | − | 0.0183403i | ||||
\(155\) | −1006.82 | + | 1064.46i | −0.521743 | + | 0.551607i | ||||
\(156\) | −122.343 | + | 108.784i | −0.0627904 | + | 0.0558313i | ||||
\(157\) | 2999.64 | 1.52483 | 0.762413 | − | 0.647091i | \(-0.224014\pi\) | ||||
0.762413 | + | 0.647091i | \(0.224014\pi\) | |||||||
\(158\) | 306.118 | 0.154136 | ||||||||
\(159\) | 2137.41 | − | 1900.52i | 1.06608 | − | 0.947929i | ||||
\(160\) | 873.023 | + | 825.757i | 0.431366 | + | 0.408012i | ||||
\(161\) | 2436.85 | − | 643.337i | 1.19286 | − | 0.314919i | ||||
\(162\) | −2292.60 | − | 547.443i | −1.11187 | − | 0.265501i | ||||
\(163\) | − | 802.994i | − | 0.385861i | −0.981212 | − | 0.192930i | \(-0.938201\pi\) | ||
0.981212 | − | 0.192930i | \(-0.0617992\pi\) | |||||||
\(164\) | 142.506 | 0.0678529 | ||||||||
\(165\) | −1.08245 | + | 35.1528i | −0.000510720 | + | 0.0165857i | ||||
\(166\) | 2521.82i | 1.17910i | ||||||||
\(167\) | − | 1489.38i | − | 0.690129i | −0.938579 | − | 0.345065i | \(-0.887857\pi\) | ||
0.938579 | − | 0.345065i | \(-0.112143\pi\) | |||||||
\(168\) | −954.160 | + | 1437.83i | −0.438185 | + | 0.660306i | ||||
\(169\) | −2032.17 | −0.924975 | ||||||||
\(170\) | 2925.33 | − | 3092.78i | 1.31978 | − | 1.39532i | ||||
\(171\) | −2642.23 | − | 311.092i | −1.18162 | − | 0.139122i | ||||
\(172\) | − | 1274.85i | − | 0.565152i | ||||||
\(173\) | 263.075i | 0.115614i | 0.998328 | + | 0.0578069i | \(0.0184108\pi\) | ||||
−0.998328 | + | 0.0578069i | \(0.981589\pi\) | |||||||
\(174\) | −865.724 | − | 973.633i | −0.377186 | − | 0.424201i | ||||
\(175\) | −714.477 | − | 2202.02i | −0.308625 | − | 0.951184i | ||||
\(176\) | − | 46.9836i | − | 0.0201223i | ||||||
\(177\) | 1935.44 | − | 1720.94i | 0.821903 | − | 0.730811i | ||||
\(178\) | −3235.43 | −1.36239 | ||||||||
\(179\) | − | 347.625i | − | 0.145155i | −0.997363 | − | 0.0725774i | \(-0.976878\pi\) | ||
0.997363 | − | 0.0725774i | \(-0.0231224\pi\) | |||||||
\(180\) | −568.494 | + | 474.977i | −0.235406 | + | 0.196682i | ||||
\(181\) | 2556.58i | 1.04988i | 0.851138 | + | 0.524942i | \(0.175913\pi\) | ||||
−0.851138 | + | 0.524942i | \(0.824087\pi\) | |||||||
\(182\) | −743.320 | + | 196.239i | −0.302739 | + | 0.0799243i | ||||
\(183\) | −594.002 | − | 668.042i | −0.239945 | − | 0.269853i | ||||
\(184\) | 2440.22 | 0.977694 | ||||||||
\(185\) | 2000.73 | − | 2115.25i | 0.795118 | − | 0.840630i | ||||
\(186\) | 1463.00 | + | 1645.35i | 0.576732 | + | 0.648619i | ||||
\(187\) | −71.2925 | −0.0278793 | ||||||||
\(188\) | − | 256.702i | − | 0.0995846i | ||||||
\(189\) | −1982.14 | − | 1680.00i | −0.762853 | − | 0.646572i | ||||
\(190\) | −2447.69 | + | 2587.79i | −0.934599 | + | 0.988095i | ||||
\(191\) | 2990.51i | 1.13291i | 0.824093 | + | 0.566455i | \(0.191685\pi\) | ||||
−0.824093 | + | 0.566455i | \(0.808315\pi\) | |||||||
\(192\) | −1061.50 | + | 943.849i | −0.398994 | + | 0.354773i | ||||
\(193\) | − | 3949.63i | − | 1.47306i | −0.676406 | − | 0.736529i | \(-0.736463\pi\) | ||
0.676406 | − | 0.736529i | \(-0.263537\pi\) | |||||||
\(194\) | −3645.61 | −1.34917 | ||||||||
\(195\) | 745.500 | + | 22.9561i | 0.273776 | + | 0.00843034i | ||||
\(196\) | 732.050 | − | 415.486i | 0.266782 | − | 0.151416i | ||||
\(197\) | 1583.28 | 0.572610 | 0.286305 | − | 0.958139i | \(-0.407573\pi\) | ||||
0.286305 | + | 0.958139i | \(0.407573\pi\) | |||||||
\(198\) | 52.4862 | + | 6.17964i | 0.0188385 | + | 0.00221802i | ||||
\(199\) | − | 101.664i | − | 0.0362151i | −0.999836 | − | 0.0181075i | \(-0.994236\pi\) | ||
0.999836 | − | 0.0181075i | \(-0.00576413\pi\) | |||||||
\(200\) | −124.633 | − | 2237.98i | −0.0440646 | − | 0.791245i | ||||
\(201\) | 2150.47 | + | 2418.51i | 0.754638 | + | 0.848700i | ||||
\(202\) | −1570.11 | −0.546894 | ||||||||
\(203\) | −366.606 | − | 1388.64i | −0.126752 | − | 0.480115i | ||||
\(204\) | −997.846 | − | 1122.22i | −0.342467 | − | 0.385154i | ||||
\(205\) | −471.673 | − | 446.136i | −0.160698 | − | 0.151998i | ||||
\(206\) | −5044.22 | −1.70605 | ||||||||
\(207\) | −429.640 | + | 3649.10i | −0.144261 | + | 1.22527i | ||||
\(208\) | −996.402 | −0.332154 | ||||||||
\(209\) | 59.6519 | 0.0197426 | ||||||||
\(210\) | −3389.27 | + | 784.041i | −1.11372 | + | 0.257638i | ||||
\(211\) | 5047.18 | 1.64674 | 0.823370 | − | 0.567506i | \(-0.192091\pi\) | ||||
0.823370 | + | 0.567506i | \(0.192091\pi\) | |||||||
\(212\) | −1350.80 | −0.437610 | ||||||||
\(213\) | −524.017 | − | 589.334i | −0.168568 | − | 0.189580i | ||||
\(214\) | 2446.09 | 0.781362 | ||||||||
\(215\) | −3991.09 | + | 4219.54i | −1.26600 | + | 1.33847i | ||||
\(216\) | −1440.35 | − | 2062.59i | −0.453721 | − | 0.649729i | ||||
\(217\) | 619.532 | + | 2346.68i | 0.193809 | + | 0.734114i | ||||
\(218\) | −2572.39 | −0.799193 | ||||||||
\(219\) | −940.768 | + | 836.501i | −0.290279 | + | 0.258107i | ||||
\(220\) | 11.4138 | − | 12.0671i | 0.00349780 | − | 0.00369801i | ||||
\(221\) | 1511.93i | 0.460197i | ||||||||
\(222\) | −2907.23 | − | 3269.60i | −0.878920 | − | 0.988473i | ||||
\(223\) | −1866.03 | −0.560353 | −0.280177 | − | 0.959948i | \(-0.590393\pi\) | ||||
−0.280177 | + | 0.959948i | \(0.590393\pi\) | |||||||
\(224\) | 1924.65 | − | 508.115i | 0.574090 | − | 0.151562i | ||||
\(225\) | 3368.61 | + | 207.655i | 0.998105 | + | 0.0615273i | ||||
\(226\) | 1265.80 | 0.372565 | ||||||||
\(227\) | 2270.46i | 0.663857i | 0.943305 | + | 0.331929i | \(0.107699\pi\) | ||||
−0.943305 | + | 0.331929i | \(0.892301\pi\) | |||||||
\(228\) | 834.919 | + | 938.988i | 0.242517 | + | 0.272745i | ||||
\(229\) | 998.351i | 0.288091i | 0.989571 | + | 0.144046i | \(0.0460112\pi\) | ||||
−0.989571 | + | 0.144046i | \(0.953989\pi\) | |||||||
\(230\) | 3573.92 | + | 3380.42i | 1.02460 | + | 0.969124i | ||||
\(231\) | 48.5422 | + | 32.2130i | 0.0138261 | + | 0.00917516i | ||||
\(232\) | − | 1390.56i | − | 0.393513i | ||||||
\(233\) | −4098.89 | −1.15248 | −0.576238 | − | 0.817282i | \(-0.695480\pi\) | ||||
−0.576238 | + | 0.817282i | \(0.695480\pi\) | |||||||
\(234\) | 131.054 | − | 1113.10i | 0.0366124 | − | 0.310964i | ||||
\(235\) | −803.642 | + | 849.642i | −0.223080 | + | 0.235849i | ||||
\(236\) | −1223.16 | −0.337377 | ||||||||
\(237\) | −367.644 | + | 326.897i | −0.100764 | + | 0.0895961i | ||||
\(238\) | −1800.05 | − | 6818.28i | −0.490252 | − | 1.85699i | ||||
\(239\) | − | 4118.06i | − | 1.11454i | −0.830332 | − | 0.557270i | \(-0.811849\pi\) | ||
0.830332 | − | 0.557270i | \(-0.188151\pi\) | |||||||
\(240\) | −4506.60 | − | 138.771i | −1.21208 | − | 0.0373234i | ||||
\(241\) | − | 6644.14i | − | 1.77588i | −0.459961 | − | 0.887939i | \(-0.652137\pi\) | ||
0.459961 | − | 0.887939i | \(-0.347863\pi\) | |||||||
\(242\) | 4302.30 | 1.14282 | ||||||||
\(243\) | 3337.98 | − | 1790.75i | 0.881200 | − | 0.472743i | ||||
\(244\) | 422.190i | 0.110770i | ||||||||
\(245\) | −3723.71 | − | 916.593i | −0.971016 | − | 0.239016i | ||||
\(246\) | −729.076 | + | 648.272i | −0.188960 | + | 0.168017i | ||||
\(247\) | − | 1265.07i | − | 0.325887i | ||||||
\(248\) | 2349.93i | 0.601697i | ||||||||
\(249\) | −2693.00 | − | 3028.67i | −0.685389 | − | 0.770820i | ||||
\(250\) | 2917.72 | − | 3450.36i | 0.738130 | − | 0.872880i | ||||
\(251\) | −160.793 | −0.0404349 | −0.0202174 | − | 0.999796i | \(-0.506436\pi\) | ||||
−0.0202174 | + | 0.999796i | \(0.506436\pi\) | |||||||
\(252\) | 172.352 | + | 1214.98i | 0.0430839 | + | 0.303716i | ||||
\(253\) | − | 82.3834i | − | 0.0204719i | ||||||
\(254\) | 4397.59i | 1.08634i | ||||||||
\(255\) | −210.570 | + | 6838.28i | −0.0517114 | + | 1.67933i | ||||
\(256\) | 3450.99 | 0.842527 | ||||||||
\(257\) | − | 587.416i | − | 0.142576i | −0.997456 | − | 0.0712879i | \(-0.977289\pi\) | ||
0.997456 | − | 0.0712879i | \(-0.0227109\pi\) | |||||||
\(258\) | 5799.37 | + | 6522.24i | 1.39943 | + | 1.57386i | ||||
\(259\) | −1231.12 | − | 4663.25i | −0.295358 | − | 1.11877i | ||||
\(260\) | −255.912 | − | 242.057i | −0.0610423 | − | 0.0577374i | ||||
\(261\) | 2079.44 | + | 244.831i | 0.493159 | + | 0.0580637i | ||||
\(262\) | 3994.00 | 0.941795 | ||||||||
\(263\) | −4760.99 | −1.11626 | −0.558128 | − | 0.829755i | \(-0.688480\pi\) | ||||
−0.558128 | + | 0.829755i | \(0.688480\pi\) | |||||||
\(264\) | 37.4810 | + | 42.1528i | 0.00873785 | + | 0.00982699i | ||||
\(265\) | 4470.93 | + | 4228.87i | 1.03640 | + | 0.980292i | ||||
\(266\) | 1506.14 | + | 5704.99i | 0.347170 | + | 1.31502i | ||||
\(267\) | 3885.70 | − | 3455.05i | 0.890641 | − | 0.791930i | ||||
\(268\) | − | 1528.45i | − | 0.348377i | ||||||
\(269\) | 5639.75 | 1.27830 | 0.639148 | − | 0.769084i | \(-0.279287\pi\) | ||||
0.639148 | + | 0.769084i | \(0.279287\pi\) | |||||||
\(270\) | 747.766 | − | 5016.15i | 0.168547 | − | 1.13064i | ||||
\(271\) | 2250.90i | 0.504547i | 0.967656 | + | 0.252274i | \(0.0811783\pi\) | ||||
−0.967656 | + | 0.252274i | \(0.918822\pi\) | |||||||
\(272\) | − | 9139.74i | − | 2.03742i | ||||||
\(273\) | 683.156 | − | 1029.46i | 0.151452 | − | 0.228225i | ||||
\(274\) | −456.882 | −0.100734 | ||||||||
\(275\) | −75.5555 | + | 4.20770i | −0.0165679 | + | 0.000922668i | ||||
\(276\) | 1296.81 | − | 1153.08i | 0.282821 | − | 0.251476i | ||||
\(277\) | 6323.83i | 1.37170i | 0.727741 | + | 0.685852i | \(0.240570\pi\) | ||||
−0.727741 | + | 0.685852i | \(0.759430\pi\) | |||||||
\(278\) | 2892.86i | 0.624109i | ||||||||
\(279\) | −3514.08 | − | 413.742i | −0.754058 | − | 0.0887816i | ||||
\(280\) | −3259.38 | − | 1778.35i | −0.695661 | − | 0.379560i | ||||
\(281\) | 7909.21i | 1.67909i | 0.543291 | + | 0.839544i | \(0.317178\pi\) | ||||
−0.543291 | + | 0.839544i | \(0.682822\pi\) | |||||||
\(282\) | 1167.76 | + | 1313.31i | 0.246592 | + | 0.277328i | ||||
\(283\) | −1364.88 | −0.286692 | −0.143346 | − | 0.989673i | \(-0.545786\pi\) | ||||
−0.143346 | + | 0.989673i | \(0.545786\pi\) | |||||||
\(284\) | 372.447i | 0.0778193i | ||||||||
\(285\) | 176.188 | − | 5721.73i | 0.0366192 | − | 1.18921i | ||||
\(286\) | 25.1297i | 0.00519563i | ||||||||
\(287\) | −1039.84 | + | 274.522i | −0.213867 | + | 0.0564617i | ||||
\(288\) | −339.334 | + | 2882.10i | −0.0694287 | + | 0.589686i | ||||
\(289\) | −8955.57 | −1.82283 | ||||||||
\(290\) | 1926.34 | − | 2036.60i | 0.390064 | − | 0.412391i | ||||
\(291\) | 4378.32 | − | 3893.07i | 0.882000 | − | 0.784246i | ||||
\(292\) | 594.547 | 0.119155 | ||||||||
\(293\) | − | 6158.77i | − | 1.22798i | −0.789312 | − | 0.613992i | \(-0.789563\pi\) | ||
0.789312 | − | 0.613992i | \(-0.210437\pi\) | |||||||
\(294\) | −1855.16 | + | 5455.82i | −0.368010 | + | 1.08228i | ||||
\(295\) | 4048.47 | + | 3829.28i | 0.799021 | + | 0.755761i | ||||
\(296\) | − | 4669.71i | − | 0.916965i | ||||||
\(297\) | −69.6342 | + | 48.6272i | −0.0136047 | + | 0.00950046i | ||||
\(298\) | 7284.41i | 1.41602i | ||||||||
\(299\) | −1747.14 | −0.337926 | ||||||||
\(300\) | −1123.75 | − | 1130.43i | −0.216265 | − | 0.217552i | ||||
\(301\) | 2455.85 | + | 9302.31i | 0.470274 | + | 1.78132i | ||||
\(302\) | −2701.15 | −0.514682 | ||||||||
\(303\) | 1885.68 | − | 1676.69i | 0.357523 | − | 0.317898i | ||||
\(304\) | 7647.41i | 1.44279i | ||||||||
\(305\) | 1321.72 | − | 1397.38i | 0.248137 | − | 0.262340i | ||||
\(306\) | 10210.2 | + | 1202.13i | 1.90744 | + | 0.224579i | ||||
\(307\) | −7256.37 | −1.34900 | −0.674500 | − | 0.738275i | \(-0.735641\pi\) | ||||
−0.674500 | + | 0.738275i | \(0.735641\pi\) | |||||||
\(308\) | −7.02326 | − | 26.6029i | −0.00129931 | − | 0.00492155i | ||||
\(309\) | 6058.03 | − | 5386.61i | 1.11530 | − | 0.991694i | ||||
\(310\) | −3255.34 | + | 3441.67i | −0.596422 | + | 0.630561i | ||||
\(311\) | −8404.97 | −1.53248 | −0.766241 | − | 0.642553i | \(-0.777875\pi\) | ||||
−0.766241 | + | 0.642553i | \(0.777875\pi\) | |||||||
\(312\) | 893.954 | − | 794.876i | 0.162212 | − | 0.144234i | ||||
\(313\) | −3012.62 | −0.544035 | −0.272018 | − | 0.962292i | \(-0.587691\pi\) | ||||
−0.272018 | + | 0.962292i | \(0.587691\pi\) | |||||||
\(314\) | 9698.67 | 1.74308 | ||||||||
\(315\) | 3233.20 | − | 4560.95i | 0.578318 | − | 0.815811i | ||||
\(316\) | 232.344 | 0.0413619 | ||||||||
\(317\) | −8375.12 | −1.48389 | −0.741946 | − | 0.670459i | \(-0.766097\pi\) | ||||
−0.741946 | + | 0.670459i | \(0.766097\pi\) | |||||||
\(318\) | 6910.82 | − | 6144.88i | 1.21868 | − | 1.08361i | ||||
\(319\) | −46.9463 | −0.00823977 | ||||||||
\(320\) | −2220.39 | − | 2100.17i | −0.387886 | − | 0.366885i | ||||
\(321\) | −2937.72 | + | 2612.13i | −0.510803 | + | 0.454190i | ||||
\(322\) | 7878.99 | − | 2080.08i | 1.36360 | − | 0.359995i | ||||
\(323\) | 11604.1 | 1.99898 | ||||||||
\(324\) | −1740.08 | − | 415.509i | −0.298368 | − | 0.0712464i | ||||
\(325\) | 89.2346 | + | 1602.34i | 0.0152303 | + | 0.273482i | ||||
\(326\) | − | 2596.30i | − | 0.441091i | ||||||
\(327\) | 3089.40 | − | 2747.00i | 0.522459 | − | 0.464555i | ||||
\(328\) | −1041.28 | −0.175290 | ||||||||
\(329\) | 494.507 | + | 1873.10i | 0.0828664 | + | 0.313883i | ||||
\(330\) | −3.49986 | + | 113.658i | −0.000583821 | + | 0.0189597i | ||||
\(331\) | −7389.43 | −1.22707 | −0.613535 | − | 0.789668i | \(-0.710253\pi\) | ||||
−0.613535 | + | 0.789668i | \(0.710253\pi\) | |||||||
\(332\) | 1914.06i | 0.316409i | ||||||||
\(333\) | 6983.07 | + | 822.176i | 1.14916 | + | 0.135300i | ||||
\(334\) | − | 4815.57i | − | 0.788911i | ||||||
\(335\) | −4785.04 | + | 5058.93i | −0.780402 | + | 0.825072i | ||||
\(336\) | −4129.73 | + | 6223.13i | −0.670521 | + | 1.01042i | ||||
\(337\) | − | 7612.87i | − | 1.23056i | −0.788308 | − | 0.615281i | \(-0.789043\pi\) | ||
0.788308 | − | 0.615281i | \(-0.210957\pi\) | |||||||
\(338\) | −6570.56 | −1.05737 | ||||||||
\(339\) | −1520.20 | + | 1351.72i | −0.243558 | + | 0.216564i | ||||
\(340\) | 2220.32 | − | 2347.42i | 0.354159 | − | 0.374431i | ||||
\(341\) | 79.3350 | 0.0125989 | ||||||||
\(342\) | −8543.05 | − | 1005.85i | −1.35075 | − | 0.159035i | ||||
\(343\) | −4541.24 | + | 4441.93i | −0.714880 | + | 0.699247i | ||||
\(344\) | 9315.21i | 1.46001i | ||||||||
\(345\) | −7902.10 | − | 243.328i | −1.23314 | − | 0.0379720i | ||||
\(346\) | 850.592i | 0.132162i | ||||||||
\(347\) | 2248.77 | 0.347898 | 0.173949 | − | 0.984755i | \(-0.444347\pi\) | ||||
0.173949 | + | 0.984755i | \(0.444347\pi\) | |||||||
\(348\) | −657.084 | − | 738.987i | −0.101217 | − | 0.113833i | ||||
\(349\) | − | 4137.50i | − | 0.634600i | −0.948325 | − | 0.317300i | \(-0.897224\pi\) | ||
0.948325 | − | 0.317300i | \(-0.102776\pi\) | |||||||
\(350\) | −2310.10 | − | 7119.73i | −0.352800 | − | 1.08733i | ||||
\(351\) | 1031.26 | + | 1476.76i | 0.156822 | + | 0.224569i | ||||
\(352\) | − | 65.0674i | − | 0.00985257i | ||||||
\(353\) | − | 4970.30i | − | 0.749412i | −0.927144 | − | 0.374706i | \(-0.877744\pi\) | ||
0.927144 | − | 0.374706i | \(-0.122256\pi\) | |||||||
\(354\) | 6257.82 | − | 5564.26i | 0.939546 | − | 0.835415i | ||||
\(355\) | 1166.00 | − | 1232.74i | 0.174323 | − | 0.184302i | ||||
\(356\) | −2455.69 | −0.365593 | ||||||||
\(357\) | 9442.93 | + | 6266.41i | 1.39992 | + | 0.929002i | ||||
\(358\) | − | 1123.97i | − | 0.165932i | ||||||
\(359\) | − | 2942.19i | − | 0.432543i | −0.976333 | − | 0.216271i | \(-0.930610\pi\) | ||
0.976333 | − | 0.216271i | \(-0.0693896\pi\) | |||||||
\(360\) | 4153.94 | − | 3470.62i | 0.608144 | − | 0.508105i | ||||
\(361\) | −2850.40 | −0.415571 | ||||||||
\(362\) | 8266.11i | 1.20016i | ||||||||
\(363\) | −5167.00 | + | 4594.34i | −0.747100 | + | 0.664298i | ||||
\(364\) | −564.179 | + | 148.945i | −0.0812390 | + | 0.0214474i | ||||
\(365\) | −1967.85 | − | 1861.31i | −0.282198 | − | 0.266919i | ||||
\(366\) | −1920.57 | − | 2159.96i | −0.274289 | − | 0.308478i | ||||
\(367\) | 2416.72 | 0.343738 | 0.171869 | − | 0.985120i | \(-0.445019\pi\) | ||||
0.171869 | + | 0.985120i | \(0.445019\pi\) | |||||||
\(368\) | 10561.6 | 1.49609 | ||||||||
\(369\) | 183.334 | − | 1557.13i | 0.0258645 | − | 0.219677i | ||||
\(370\) | 6468.92 | − | 6839.19i | 0.908927 | − | 0.960954i | ||||
\(371\) | 9856.52 | − | 2602.16i | 1.37931 | − | 0.364144i | ||||
\(372\) | 1110.41 | + | 1248.82i | 0.154764 | + | 0.174055i | ||||
\(373\) | 4691.02i | 0.651185i | 0.945510 | + | 0.325592i | \(0.105564\pi\) | ||||
−0.945510 | + | 0.325592i | \(0.894436\pi\) | |||||||
\(374\) | −230.508 | −0.0318698 | ||||||||
\(375\) | 180.436 | + | 7259.60i | 0.0248471 | + | 0.999691i | ||||
\(376\) | 1875.70i | 0.257266i | ||||||||
\(377\) | 995.612i | 0.136012i | ||||||||
\(378\) | −6408.79 | − | 5431.90i | −0.872044 | − | 0.739118i | ||||
\(379\) | 736.245 | 0.0997846 | 0.0498923 | − | 0.998755i | \(-0.484112\pi\) | ||||
0.0498923 | + | 0.998755i | \(0.484112\pi\) | |||||||
\(380\) | −1857.79 | + | 1964.13i | −0.250797 | + | 0.265152i | ||||
\(381\) | −4696.10 | − | 5281.45i | −0.631465 | − | 0.710175i | ||||
\(382\) | 9669.14i | 1.29507i | ||||||||
\(383\) | 11813.2i | 1.57605i | 0.615641 | + | 0.788027i | \(0.288897\pi\) | ||||
−0.615641 | + | 0.788027i | \(0.711103\pi\) | |||||||
\(384\) | −6771.02 | + | 6020.58i | −0.899823 | + | 0.800095i | ||||
\(385\) | −60.0382 | + | 110.038i | −0.00794761 | + | 0.0145664i | ||||
\(386\) | − | 12770.2i | − | 1.68390i | ||||||
\(387\) | −13929.9 | − | 1640.09i | −1.82971 | − | 0.215427i | ||||
\(388\) | −2767.01 | −0.362046 | ||||||||
\(389\) | − | 3748.94i | − | 0.488635i | −0.969695 | − | 0.244318i | \(-0.921436\pi\) | ||
0.969695 | − | 0.244318i | \(-0.0785639\pi\) | |||||||
\(390\) | 2410.41 | + | 74.2232i | 0.312963 | + | 0.00963702i | ||||
\(391\) | − | 16026.1i | − | 2.07282i | ||||||
\(392\) | −5349.03 | + | 3035.93i | −0.689201 | + | 0.391167i | ||||
\(393\) | −4796.74 | + | 4265.11i | −0.615683 | + | 0.547446i | ||||
\(394\) | 5119.18 | 0.654570 | ||||||||
\(395\) | −769.020 | − | 727.385i | −0.0979585 | − | 0.0926549i | ||||
\(396\) | 39.8370 | + | 4.69034i | 0.00505526 | + | 0.000595198i | ||||
\(397\) | −5770.01 | −0.729443 | −0.364721 | − | 0.931117i | \(-0.618836\pi\) | ||||
−0.364721 | + | 0.931117i | \(0.618836\pi\) | |||||||
\(398\) | − | 328.709i | − | 0.0413987i | ||||||
\(399\) | −7901.09 | − | 5243.24i | −0.991352 | − | 0.657870i | ||||
\(400\) | −539.429 | − | 9686.25i | −0.0674286 | − | 1.21078i | ||||
\(401\) | 6380.54i | 0.794586i | 0.917692 | + | 0.397293i | \(0.130050\pi\) | ||||
−0.917692 | + | 0.397293i | \(0.869950\pi\) | |||||||
\(402\) | 6953.05 | + | 7819.71i | 0.862653 | + | 0.970179i | ||||
\(403\) | − | 1682.49i | − | 0.207968i | ||||||
\(404\) | −1191.71 | −0.146757 | ||||||||
\(405\) | 4458.58 | + | 6822.84i | 0.547034 | + | 0.837111i | ||||
\(406\) | −1185.34 | − | 4489.85i | −0.144895 | − | 0.548836i | ||||
\(407\) | −157.652 | −0.0192003 | ||||||||
\(408\) | 7291.19 | + | 8200.00i | 0.884724 | + | 0.995002i | ||||
\(409\) | − | 5529.03i | − | 0.668443i | −0.942495 | − | 0.334221i | \(-0.891527\pi\) | ||
0.942495 | − | 0.334221i | \(-0.108473\pi\) | |||||||
\(410\) | −1525.05 | − | 1442.48i | −0.183699 | − | 0.173754i | ||||
\(411\) | 548.708 | − | 487.894i | 0.0658535 | − | 0.0585549i | ||||
\(412\) | −3828.56 | −0.457814 | ||||||||
\(413\) | 8925.18 | − | 2356.28i | 1.06339 | − | 0.280739i | ||||
\(414\) | −1389.14 | + | 11798.5i | −0.164910 | + | 1.40064i | ||||
\(415\) | 5992.24 | − | 6335.23i | 0.708789 | − | 0.749359i | ||||
\(416\) | −1379.91 | −0.162634 | ||||||||
\(417\) | −3089.23 | − | 3474.29i | −0.362782 | − | 0.408001i | ||||
\(418\) | 192.871 | 0.0225685 | ||||||||
\(419\) | 4493.27 | 0.523892 | 0.261946 | − | 0.965083i | \(-0.415636\pi\) | ||||
0.261946 | + | 0.965083i | \(0.415636\pi\) | |||||||
\(420\) | −2572.45 | + | 595.087i | −0.298864 | + | 0.0691363i | ||||
\(421\) | −99.8897 | −0.0115637 | −0.00578186 | − | 0.999983i | \(-0.501840\pi\) | ||||
−0.00578186 | + | 0.999983i | \(0.501840\pi\) | |||||||
\(422\) | 16318.9 | 1.88244 | ||||||||
\(423\) | −2804.92 | − | 330.246i | −0.322411 | − | 0.0379601i | ||||
\(424\) | 9870.18 | 1.13052 | ||||||||
\(425\) | −14697.8 | + | 818.525i | −1.67753 | + | 0.0934219i | ||||
\(426\) | −1694.29 | − | 1905.48i | −0.192696 | − | 0.216715i | ||||
\(427\) | −813.300 | − | 3080.64i | −0.0921741 | − | 0.349139i | ||||
\(428\) | 1856.58 | 0.209676 | ||||||||
\(429\) | −26.8355 | − | 30.1804i | −0.00302011 | − | 0.00339656i | ||||
\(430\) | −12904.3 | + | 13642.9i | −1.44721 | + | 1.53005i | ||||
\(431\) | − | 13563.7i | − | 1.51588i | −0.652327 | − | 0.757938i | \(-0.726207\pi\) | ||
0.652327 | − | 0.757938i | \(-0.273793\pi\) | |||||||
\(432\) | −6234.03 | − | 8927.14i | −0.694294 | − | 0.994230i | ||||
\(433\) | 10400.5 | 1.15431 | 0.577155 | − | 0.816634i | \(-0.304163\pi\) | ||||
0.577155 | + | 0.816634i | \(0.304163\pi\) | |||||||
\(434\) | 2003.11 | + | 7587.45i | 0.221550 | + | 0.839191i | ||||
\(435\) | −138.661 | + | 4503.02i | −0.0152834 | + | 0.496330i | ||||
\(436\) | −1952.44 | −0.214461 | ||||||||
\(437\) | 13409.4i | 1.46786i | ||||||||
\(438\) | −3041.76 | + | 2704.64i | −0.331828 | + | 0.295051i | ||||
\(439\) | 6478.07i | 0.704286i | 0.935946 | + | 0.352143i | \(0.114547\pi\) | ||||
−0.935946 | + | 0.352143i | \(0.885453\pi\) | |||||||
\(440\) | −83.3995 | + | 88.1733i | −0.00903617 | + | 0.00955340i | ||||
\(441\) | −3598.13 | − | 8533.44i | −0.388525 | − | 0.921438i | ||||
\(442\) | 4888.49i | 0.526068i | ||||||||
\(443\) | −8331.80 | −0.893579 | −0.446790 | − | 0.894639i | \(-0.647433\pi\) | ||||
−0.446790 | + | 0.894639i | \(0.647433\pi\) | |||||||
\(444\) | −2206.58 | − | 2481.62i | −0.235855 | − | 0.265254i | ||||
\(445\) | 8127.93 | + | 7687.88i | 0.865845 | + | 0.818968i | ||||
\(446\) | −6033.39 | −0.640559 | ||||||||
\(447\) | −7778.87 | − | 8748.47i | −0.823105 | − | 0.925701i | ||||
\(448\) | −4895.02 | + | 1292.30i | −0.516223 | + | 0.136285i | ||||
\(449\) | − | 5571.92i | − | 0.585646i | −0.956167 | − | 0.292823i | \(-0.905405\pi\) | ||
0.956167 | − | 0.292823i | \(-0.0945947\pi\) | |||||||
\(450\) | 10891.6 | + | 671.404i | 1.14097 | + | 0.0703340i | ||||
\(451\) | 35.1543i | 0.00367040i | ||||||||
\(452\) | 960.739 | 0.0999765 | ||||||||
\(453\) | 3244.05 | − | 2884.50i | 0.336465 | − | 0.299174i | ||||
\(454\) | 7341.01i | 0.758878i | ||||||||
\(455\) | 2333.64 | + | 1273.26i | 0.240445 | + | 0.131189i | ||||
\(456\) | −6100.69 | − | 6861.11i | −0.626515 | − | 0.704607i | ||||
\(457\) | − | 9668.94i | − | 0.989702i | −0.868978 | − | 0.494851i | \(-0.835223\pi\) | ||
0.868978 | − | 0.494851i | \(-0.164777\pi\) | |||||||
\(458\) | 3227.94i | 0.329327i | ||||||||
\(459\) | −13546.0 | + | 9459.47i | −1.37750 | + | 0.961940i | ||||
\(460\) | 2712.60 | + | 2565.74i | 0.274947 | + | 0.260061i | ||||
\(461\) | 9540.16 | 0.963838 | 0.481919 | − | 0.876216i | \(-0.339940\pi\) | ||||
0.481919 | + | 0.876216i | \(0.339940\pi\) | |||||||
\(462\) | 156.950 | + | 104.153i | 0.0158051 | + | 0.0104884i | ||||
\(463\) | − | 291.188i | − | 0.0292282i | −0.999893 | − | 0.0146141i | \(-0.995348\pi\) | ||
0.999893 | − | 0.0146141i | \(-0.00465198\pi\) | |||||||
\(464\) | − | 6018.54i | − | 0.602163i | ||||||
\(465\) | 234.324 | − | 7609.71i | 0.0233689 | − | 0.758907i | ||||
\(466\) | −13252.8 | −1.31744 | ||||||||
\(467\) | − | 12431.2i | − | 1.23180i | −0.787825 | − | 0.615899i | \(-0.788793\pi\) | ||
0.787825 | − | 0.615899i | \(-0.211207\pi\) | |||||||
\(468\) | 99.4702 | − | 844.840i | 0.00982481 | − | 0.0834461i | ||||
\(469\) | 2944.39 | + | 11152.8i | 0.289892 | + | 1.09806i | ||||
\(470\) | −2598.39 | + | 2747.12i | −0.255011 | + | 0.269607i | ||||
\(471\) | −11648.0 | + | 10357.0i | −1.13951 | + | 1.01322i | ||||
\(472\) | 8937.55 | 0.871577 | ||||||||
\(473\) | 314.487 | 0.0305711 | ||||||||
\(474\) | −1188.69 | + | 1056.95i | −0.115187 | + | 0.102420i | ||||
\(475\) | 12298.0 | − | 684.877i | 1.18794 | − | 0.0661565i | ||||
\(476\) | −1366.24 | − | 5175.07i | −0.131558 | − | 0.498317i | ||||
\(477\) | −1737.80 | + | 14759.8i | −0.166810 | + | 1.41678i | ||||
\(478\) | − | 13314.8i | − | 1.27407i | ||||||
\(479\) | −2250.43 | −0.214665 | −0.107333 | − | 0.994223i | \(-0.534231\pi\) | ||||
−0.107333 | + | 0.994223i | \(0.534231\pi\) | |||||||
\(480\) | −6241.18 | − | 192.183i | −0.593478 | − | 0.0182749i | ||||
\(481\) | 3343.40i | 0.316936i | ||||||||
\(482\) | − | 21482.3i | − | 2.03007i | ||||||
\(483\) | −7241.27 | + | 10912.0i | −0.682173 | + | 1.02797i | ||||
\(484\) | 3265.44 | 0.306672 | ||||||||
\(485\) | 9158.37 | + | 8662.53i | 0.857444 | + | 0.811021i | ||||
\(486\) | 10792.6 | − | 5789.98i | 1.00733 | − | 0.540409i | ||||
\(487\) | − | 18863.6i | − | 1.75522i | −0.479380 | − | 0.877608i | \(-0.659138\pi\) | ||
0.479380 | − | 0.877608i | \(-0.340862\pi\) | |||||||
\(488\) | − | 3084.91i | − | 0.286162i | ||||||
\(489\) | 2772.53 | + | 3118.12i | 0.256397 | + | 0.288356i | ||||
\(490\) | −12039.8 | − | 2963.59i | −1.11000 | − | 0.273228i | ||||
\(491\) | − | 10861.4i | − | 0.998309i | −0.866513 | − | 0.499155i | \(-0.833644\pi\) | ||
0.866513 | − | 0.499155i | \(-0.166356\pi\) | |||||||
\(492\) | −553.368 | + | 492.038i | −0.0507068 | + | 0.0450869i | ||||
\(493\) | −9132.48 | −0.834293 | ||||||||
\(494\) | − | 4090.30i | − | 0.372533i | ||||||
\(495\) | −117.170 | − | 140.240i | −0.0106392 | − | 0.0127339i | ||||
\(496\) | 10170.8i | 0.920730i | ||||||||
\(497\) | −717.477 | − | 2717.68i | −0.0647550 | − | 0.245281i | ||||
\(498\) | −8707.20 | − | 9792.51i | −0.783492 | − | 0.881151i | ||||
\(499\) | 1749.79 | 0.156977 | 0.0784883 | − | 0.996915i | \(-0.474991\pi\) | ||||
0.0784883 | + | 0.996915i | \(0.474991\pi\) | |||||||
\(500\) | 2214.54 | − | 2618.82i | 0.198075 | − | 0.234235i | ||||
\(501\) | 5142.44 | + | 5783.43i | 0.458578 | + | 0.515737i | ||||
\(502\) | −519.887 | −0.0462225 | ||||||||
\(503\) | 12989.4i | 1.15143i | 0.817651 | + | 0.575715i | \(0.195276\pi\) | ||||
−0.817651 | + | 0.575715i | \(0.804724\pi\) | |||||||
\(504\) | −1259.36 | − | 8877.75i | −0.111302 | − | 0.784616i | ||||
\(505\) | 3944.38 | + | 3730.83i | 0.347569 | + | 0.328752i | ||||
\(506\) | − | 266.368i | − | 0.0234022i | ||||||
\(507\) | 7891.15 | − | 7016.56i | 0.691239 | − | 0.614628i | ||||
\(508\) | 3337.77i | 0.291515i | ||||||||
\(509\) | 4913.86 | 0.427904 | 0.213952 | − | 0.976844i | \(-0.431366\pi\) | ||||
0.213952 | + | 0.976844i | \(0.431366\pi\) | |||||||
\(510\) | −680.830 | + | 22110.0i | −0.0591130 | + | 1.91970i | ||||
\(511\) | −4338.29 | + | 1145.33i | −0.375567 | + | 0.0991511i | ||||
\(512\) | −2791.68 | −0.240969 | ||||||||
\(513\) | 11334.2 | − | 7914.93i | 0.975472 | − | 0.681195i | ||||
\(514\) | − | 1899.27i | − | 0.162983i | ||||||
\(515\) | 12671.9 | + | 11985.8i | 1.08425 | + | 1.02555i | ||||
\(516\) | 4401.72 | + | 4950.38i | 0.375533 | + | 0.422341i | ||||
\(517\) | 63.3248 | 0.00538689 | ||||||||
\(518\) | −3980.53 | − | 15077.6i | −0.337634 | − | 1.27890i | ||||
\(519\) | −908.329 | − | 1021.55i | −0.0768231 | − | 0.0863988i | ||||
\(520\) | 1869.93 | + | 1768.69i | 0.157696 | + | 0.149158i | ||||
\(521\) | 6450.02 | 0.542381 | 0.271190 | − | 0.962526i | \(-0.412583\pi\) | ||||
0.271190 | + | 0.962526i | \(0.412583\pi\) | |||||||
\(522\) | 6723.41 | + | 791.604i | 0.563747 | + | 0.0663747i | ||||
\(523\) | 21041.2 | 1.75921 | 0.879606 | − | 0.475702i | \(-0.157806\pi\) | ||||
0.879606 | + | 0.475702i | \(0.157806\pi\) | |||||||
\(524\) | 3031.44 | 0.252728 | ||||||||
\(525\) | 10377.4 | + | 6083.79i | 0.862681 | + | 0.505749i | ||||
\(526\) | −15393.6 | −1.27603 | ||||||||
\(527\) | 15433.1 | 1.27567 | ||||||||
\(528\) | 162.222 | + | 182.443i | 0.0133709 | + | 0.0150375i | ||||
\(529\) | 6352.25 | 0.522088 | ||||||||
\(530\) | 14455.7 | + | 13673.1i | 1.18475 | + | 1.12061i | ||||
\(531\) | −1573.60 | + | 13365.2i | −0.128603 | + | 1.09228i | ||||
\(532\) | 1143.16 | + | 4330.08i | 0.0931620 | + | 0.352881i | ||||
\(533\) | 745.534 | 0.0605866 | ||||||||
\(534\) | 12563.5 | − | 11171.1i | 1.01812 | − | 0.905283i | ||||
\(535\) | −6144.99 | − | 5812.30i | −0.496582 | − | 0.469696i | ||||
\(536\) | 11168.3i | 0.899994i | ||||||||
\(537\) | 1200.26 | + | 1349.87i | 0.0964526 | + | 0.108475i | ||||
\(538\) | 18234.9 | 1.46126 | ||||||||
\(539\) | 102.495 | + | 180.586i | 0.00819065 | + | 0.0144312i | ||||
\(540\) | 567.554 | − | 3807.25i | 0.0452289 | − | 0.303404i | ||||
\(541\) | 16947.6 | 1.34683 | 0.673415 | − | 0.739264i | \(-0.264827\pi\) | ||||
0.673415 | + | 0.739264i | \(0.264827\pi\) | |||||||
\(542\) | 7277.77i | 0.576765i | ||||||||
\(543\) | −8827.20 | − | 9927.47i | −0.697627 | − | 0.784583i | ||||
\(544\) | − | 12657.6i | − | 0.997592i | ||||||
\(545\) | 6462.27 | + | 6112.39i | 0.507914 | + | 0.480415i | ||||
\(546\) | 2208.83 | − | 3328.51i | 0.173130 | − | 0.260892i | ||||
\(547\) | 23736.9i | 1.85542i | 0.373298 | + | 0.927712i | \(0.378227\pi\) | ||||
−0.373298 | + | 0.927712i | \(0.621773\pi\) | |||||||
\(548\) | −346.773 | −0.0270318 | ||||||||
\(549\) | 4613.16 | + | 543.146i | 0.358624 | + | 0.0422239i | ||||
\(550\) | −244.291 | + | 13.6046i | −0.0189393 | + | 0.00105473i | ||||
\(551\) | 7641.34 | 0.590802 | ||||||||
\(552\) | −9475.67 | + | 8425.47i | −0.730636 | + | 0.649659i | ||||
\(553\) | −1695.37 | + | 447.583i | −0.130369 | + | 0.0344180i | ||||
\(554\) | 20446.7i | 1.56804i | ||||||||
\(555\) | −465.642 | + | 15121.8i | −0.0356134 | + | 1.15655i | ||||
\(556\) | 2195.68i | 0.167478i | ||||||||
\(557\) | −8025.91 | −0.610537 | −0.305268 | − | 0.952266i | \(-0.598746\pi\) | ||||
−0.305268 | + | 0.952266i | \(0.598746\pi\) | |||||||
\(558\) | −11362.0 | − | 1337.74i | −0.861990 | − | 0.101489i | ||||
\(559\) | − | 6669.47i | − | 0.504631i | ||||||
\(560\) | −14107.0 | − | 7696.93i | −1.06452 | − | 0.580812i | ||||
\(561\) | 276.837 | − | 246.155i | 0.0208343 | − | 0.0185252i | ||||
\(562\) | 25572.6i | 1.91942i | ||||||||
\(563\) | − | 8553.71i | − | 0.640313i | −0.947365 | − | 0.320156i | \(-0.896265\pi\) | ||
0.947365 | − | 0.320156i | \(-0.103735\pi\) | |||||||
\(564\) | 886.326 | + | 996.803i | 0.0661721 | + | 0.0744201i | ||||
\(565\) | −3179.89 | − | 3007.73i | −0.236777 | − | 0.223958i | ||||
\(566\) | −4413.04 | −0.327728 | ||||||||
\(567\) | 13497.5 | − | 320.178i | 0.999719 | − | 0.0237146i | ||||
\(568\) | − | 2721.44i | − | 0.201037i | ||||||
\(569\) | − | 8983.39i | − | 0.661868i | −0.943654 | − | 0.330934i | \(-0.892636\pi\) | ||
0.943654 | − | 0.330934i | \(-0.107364\pi\) | |||||||
\(570\) | 569.664 | − | 18499.9i | 0.0418607 | − | 1.35943i | ||||
\(571\) | −8976.45 | −0.657886 | −0.328943 | − | 0.944350i | \(-0.606692\pi\) | ||||
−0.328943 | + | 0.944350i | \(0.606692\pi\) | |||||||
\(572\) | 19.0734i | 0.00139423i | ||||||||
\(573\) | −10325.5 | − | 11612.5i | −0.752797 | − | 0.846630i | ||||
\(574\) | −3362.09 | + | 887.604i | −0.244479 | + | 0.0645434i | ||||
\(575\) | −945.863 | − | 16984.4i | −0.0686003 | − | 1.23182i | ||||
\(576\) | 863.040 | − | 7330.14i | 0.0624305 | − | 0.530248i | ||||
\(577\) | 1444.10 | 0.104192 | 0.0520958 | − | 0.998642i | \(-0.483410\pi\) | ||||
0.0520958 | + | 0.998642i | \(0.483410\pi\) | |||||||
\(578\) | −28955.8 | −2.08374 | ||||||||
\(579\) | 13637.0 | + | 15336.8i | 0.978819 | + | 1.10082i | ||||
\(580\) | 1462.09 | − | 1545.78i | 0.104672 | − | 0.110664i | ||||
\(581\) | −3687.21 | − | 13966.5i | −0.263290 | − | 0.997296i | ||||
\(582\) | 14156.3 | − | 12587.4i | 1.00824 | − | 0.896499i | ||||
\(583\) | − | 333.223i | − | 0.0236719i | ||||||
\(584\) | −4344.31 | −0.307823 | ||||||||
\(585\) | −2974.12 | + | 2484.88i | −0.210196 | + | 0.175619i | ||||
\(586\) | − | 19913.0i | − | 1.40375i | ||||||
\(587\) | − | 21411.0i | − | 1.50549i | −0.658310 | − | 0.752747i | \(-0.728728\pi\) | ||
0.658310 | − | 0.752747i | \(-0.271272\pi\) | |||||||
\(588\) | −1408.06 | + | 4140.96i | −0.0987544 | + | 0.290426i | ||||
\(589\) | −12913.2 | −0.903358 | ||||||||
\(590\) | 13089.8 | + | 12381.1i | 0.913388 | + | 0.863937i | ||||
\(591\) | −6148.06 | + | 5466.67i | −0.427915 | + | 0.380488i | ||||
\(592\) | − | 20211.1i | − | 1.40316i | ||||||
\(593\) | 2596.21i | 0.179787i | 0.995951 | + | 0.0898935i | \(0.0286527\pi\) | ||||
−0.995951 | + | 0.0898935i | \(0.971347\pi\) | |||||||
\(594\) | −225.146 | + | 157.225i | −0.0155520 | + | 0.0108603i | ||||
\(595\) | −11679.3 | + | 21405.8i | −0.804711 | + | 1.47488i | ||||
\(596\) | 5528.86i | 0.379985i | ||||||||
\(597\) | 351.021 | + | 394.775i | 0.0240642 | + | 0.0270637i | ||||
\(598\) | −5648.99 | −0.386295 | ||||||||
\(599\) | 13043.3i | 0.889709i | 0.895603 | + | 0.444854i | \(0.146745\pi\) | ||||
−0.895603 | + | 0.444854i | \(0.853255\pi\) | |||||||
\(600\) | 8211.13 | + | 8259.99i | 0.558696 | + | 0.562021i | ||||
\(601\) | − | 320.380i | − | 0.0217447i | −0.999941 | − | 0.0108724i | \(-0.996539\pi\) | ||
0.999941 | − | 0.0108724i | \(-0.00346085\pi\) | |||||||
\(602\) | 7940.42 | + | 30076.9i | 0.537587 | + | 2.03628i | ||||
\(603\) | −16701.0 | − | 1966.35i | −1.12789 | − | 0.132796i | ||||
\(604\) | −2050.17 | −0.138113 | ||||||||
\(605\) | −10808.1 | − | 10222.9i | −0.726300 | − | 0.686977i | ||||
\(606\) | 6096.92 | − | 5421.19i | 0.408697 | − | 0.363401i | ||||
\(607\) | −9539.65 | −0.637895 | −0.318948 | − | 0.947772i | \(-0.603329\pi\) | ||||
−0.318948 | + | 0.947772i | \(0.603329\pi\) | |||||||
\(608\) | 10590.9i | 0.706442i | ||||||||
\(609\) | 6218.19 | + | 4126.45i | 0.413750 | + | 0.274568i | ||||
\(610\) | 4273.50 | − | 4518.11i | 0.283654 | − | 0.299890i | ||||
\(611\) | − | 1342.96i | − | 0.0889202i | ||||||
\(612\) | 7749.50 | + | 912.414i | 0.511855 | + | 0.0602650i | ||||
\(613\) | − | 10566.9i | − | 0.696235i | −0.937451 | − | 0.348118i | \(-0.886821\pi\) | ||
0.937451 | − | 0.348118i | \(-0.113179\pi\) | |||||||
\(614\) | −23461.8 | −1.54209 | ||||||||
\(615\) | 3371.95 | + | 103.832i | 0.221090 | + | 0.00680798i | ||||
\(616\) | 51.3184 | + | 194.385i | 0.00335662 | + | 0.0127143i | ||||
\(617\) | −10459.5 | −0.682467 | −0.341233 | − | 0.939979i | \(-0.610845\pi\) | ||||
−0.341233 | + | 0.939979i | \(0.610845\pi\) | |||||||
\(618\) | 19587.3 | − | 17416.4i | 1.27494 | − | 1.13364i | ||||
\(619\) | 12347.7i | 0.801768i | 0.916129 | + | 0.400884i | \(0.131297\pi\) | ||||
−0.916129 | + | 0.400884i | \(0.868703\pi\) | |||||||
\(620\) | −2470.80 | + | 2612.23i | −0.160048 | + | 0.169209i | ||||
\(621\) | −10931.1 | − | 15653.3i | −0.706359 | − | 1.01151i | ||||
\(622\) | −27175.6 | −1.75183 | ||||||||
\(623\) | 17918.7 | − | 4730.60i | 1.15232 | − | 0.304217i | ||||
\(624\) | 3869.14 | − | 3440.32i | 0.248221 | − | 0.220710i | ||||
\(625\) | −15528.4 | + | 1734.94i | −0.993816 | + | 0.111036i | ||||
\(626\) | −9740.61 | −0.621906 | ||||||||
\(627\) | −231.635 | + | 205.963i | −0.0147538 | + | 0.0131186i | ||||
\(628\) | 7361.28 | 0.467750 | ||||||||
\(629\) | −30668.2 | −1.94407 | ||||||||
\(630\) | 10453.8 | − | 14746.8i | 0.661096 | − | 0.932582i | ||||
\(631\) | −7403.86 | −0.467105 | −0.233552 | − | 0.972344i | \(-0.575035\pi\) | ||||
−0.233552 | + | 0.972344i | \(0.575035\pi\) | |||||||
\(632\) | −1697.72 | −0.106854 | ||||||||
\(633\) | −19598.8 | + | 17426.6i | −1.23062 | + | 1.09423i | ||||
\(634\) | −27079.1 | −1.69629 | ||||||||
\(635\) | 10449.4 | − | 11047.5i | 0.653024 | − | 0.690403i | ||||
\(636\) | 5245.30 | − | 4663.96i | 0.327028 | − | 0.290783i | ||||
\(637\) | 3829.78 | − | 2173.65i | 0.238212 | − | 0.135201i | ||||
\(638\) | −151.790 | −0.00941917 | ||||||||
\(639\) | 4069.64 | + | 479.153i | 0.251944 | + | 0.0296635i | ||||
\(640\) | −14163.3 | − | 13396.5i | −0.874772 | − | 0.827411i | ||||
\(641\) | 24209.2i | 1.49174i | 0.666089 | + | 0.745872i | \(0.267967\pi\) | ||||
−0.666089 | + | 0.745872i | \(0.732033\pi\) | |||||||
\(642\) | −9498.46 | + | 8445.74i | −0.583916 | + | 0.519200i | ||||
\(643\) | 11848.9 | 0.726712 | 0.363356 | − | 0.931650i | \(-0.381631\pi\) | ||||
0.363356 | + | 0.931650i | \(0.381631\pi\) | |||||||
\(644\) | 5980.15 | − | 1578.78i | 0.365917 | − | 0.0966036i | ||||
\(645\) | 928.870 | − | 30165.2i | 0.0567042 | − | 1.84148i | ||||
\(646\) | 37519.3 | 2.28510 | ||||||||
\(647\) | 6193.88i | 0.376362i | 0.982134 | + | 0.188181i | \(0.0602592\pi\) | ||||
−0.982134 | + | 0.188181i | \(0.939741\pi\) | |||||||
\(648\) | 12714.6 | + | 3036.09i | 0.770800 | + | 0.184057i | ||||
\(649\) | − | 301.737i | − | 0.0182500i | ||||||
\(650\) | 288.520 | + | 5180.80i | 0.0174103 | + | 0.312627i | ||||
\(651\) | −10508.2 | − | 6973.33i | −0.632639 | − | 0.419825i | ||||
\(652\) | − | 1970.59i | − | 0.118365i | ||||||
\(653\) | −27763.0 | −1.66378 | −0.831892 | − | 0.554938i | \(-0.812742\pi\) | ||||
−0.831892 | + | 0.554938i | \(0.812742\pi\) | |||||||
\(654\) | 9988.87 | − | 8881.80i | 0.597241 | − | 0.531048i | ||||
\(655\) | −10033.6 | − | 9490.37i | −0.598542 | − | 0.566136i | ||||
\(656\) | −4506.80 | −0.268233 | ||||||||
\(657\) | 764.883 | − | 6496.46i | 0.0454200 | − | 0.385770i | ||||
\(658\) | 1598.87 | + | 6056.26i | 0.0947274 | + | 0.358811i | ||||
\(659\) | − | 6793.61i | − | 0.401581i | −0.979634 | − | 0.200790i | \(-0.935649\pi\) | ||
0.979634 | − | 0.200790i | \(-0.0643510\pi\) | |||||||
\(660\) | −2.65639 | + | 86.2666i | −0.000156667 | + | 0.00508776i | ||||
\(661\) | 11194.7i | 0.658732i | 0.944202 | + | 0.329366i | \(0.106835\pi\) | ||||
−0.944202 | + | 0.329366i | \(0.893165\pi\) | |||||||
\(662\) | −23892.1 | −1.40271 | ||||||||
\(663\) | −5220.32 | − | 5871.01i | −0.305792 | − | 0.343908i | ||||
\(664\) | − | 13985.9i | − | 0.817406i | ||||||
\(665\) | 9772.27 | − | 17910.7i | 0.569853 | − | 1.04443i | ||||
\(666\) | 22578.2 | + | 2658.32i | 1.31364 | + | 0.154666i | ||||
\(667\) | − | 10553.2i | − | 0.612627i | ||||||
\(668\) | − | 3655.01i | − | 0.211702i | ||||||
\(669\) | 7246.01 | − | 6442.93i | 0.418755 | − | 0.372344i | ||||
\(670\) | −15471.3 | + | 16356.9i | −0.892104 | + | 0.943168i | ||||
\(671\) | −104.148 | −0.00599195 | ||||||||
\(672\) | −5719.24 | + | 8618.39i | −0.328310 | + | 0.494735i | ||||
\(673\) | 9778.19i | 0.560062i | 0.959991 | + | 0.280031i | \(0.0903447\pi\) | ||||
−0.959991 | + | 0.280031i | \(0.909655\pi\) | |||||||
\(674\) | − | 24614.5i | − | 1.40670i | ||||||
\(675\) | −13797.7 | + | 10824.6i | −0.786773 | + | 0.617242i | ||||
\(676\) | −4987.05 | −0.283742 | ||||||||
\(677\) | 18617.5i | 1.05691i | 0.848961 | + | 0.528455i | \(0.177228\pi\) | ||||
−0.848961 | + | 0.528455i | \(0.822772\pi\) | |||||||
\(678\) | −4915.23 | + | 4370.47i | −0.278419 | + | 0.247562i | ||||
\(679\) | 20190.4 | − | 5330.33i | 1.14114 | − | 0.301266i | ||||
\(680\) | −16223.7 | + | 17152.4i | −0.914930 | + | 0.967300i | ||||
\(681\) | −7839.31 | − | 8816.44i | −0.441120 | − | 0.496104i | ||||
\(682\) | 256.512 | 0.0144023 | ||||||||
\(683\) | 7222.59 | 0.404634 | 0.202317 | − | 0.979320i | \(-0.435153\pi\) | ||||
0.202317 | + | 0.979320i | \(0.435153\pi\) | |||||||
\(684\) | −6484.17 | − | 763.436i | −0.362468 | − | 0.0426765i | ||||
\(685\) | 1147.76 | + | 1085.62i | 0.0640201 | + | 0.0605540i | ||||
\(686\) | −14683.1 | + | 14362.0i | −0.817204 | + | 0.799334i | ||||
\(687\) | −3447.05 | − | 3876.71i | −0.191431 | − | 0.215292i | ||||
\(688\) | 40317.4i | 2.23414i | ||||||||
\(689\) | −7066.82 | −0.390746 | ||||||||
\(690\) | −25549.7 | − | 786.746i | −1.40965 | − | 0.0434071i | ||||
\(691\) | 10418.8i | 0.573589i | 0.957992 | + | 0.286795i | \(0.0925898\pi\) | ||||
−0.957992 | + | 0.286795i | \(0.907410\pi\) | |||||||
\(692\) | 645.598i | 0.0354653i | ||||||||
\(693\) | −299.718 | + | 42.5168i | −0.0164291 | + | 0.00233056i | ||||
\(694\) | 7270.90 | 0.397694 | ||||||||
\(695\) | 6873.89 | − | 7267.35i | 0.375168 | − | 0.396642i | ||||
\(696\) | 4801.26 | + | 5399.72i | 0.261482 | + | 0.294075i | ||||
\(697\) | 6838.58i | 0.371635i | ||||||||
\(698\) | − | 13377.7i | − | 0.725433i | ||||||
\(699\) | 15916.4 | − | 14152.4i | 0.861252 | − | 0.765799i | ||||
\(700\) | −1753.36 | − | 5403.87i | −0.0946728 | − | 0.291782i | ||||
\(701\) | 30401.8i | 1.63803i | 0.573772 | + | 0.819015i | \(0.305480\pi\) | ||||
−0.573772 | + | 0.819015i | \(0.694520\pi\) | |||||||
\(702\) | 3334.34 | + | 4774.78i | 0.179269 | + | 0.256713i | ||||
\(703\) | 25660.7 | 1.37669 | ||||||||
\(704\) | 165.488i | 0.00885946i | ||||||||
\(705\) | 187.036 | − | 6074.03i | 0.00999177 | − | 0.324484i | ||||
\(706\) | − | 16070.3i | − | 0.856678i | ||||||
\(707\) | 8695.70 | − | 2295.70i | 0.462568 | − | 0.122120i | ||||
\(708\) | 4749.68 | − | 4223.27i | 0.252124 | − | 0.224181i | ||||
\(709\) | −20621.4 | −1.09232 | −0.546159 | − | 0.837682i | \(-0.683911\pi\) | ||||
−0.546159 | + | 0.837682i | \(0.683911\pi\) | |||||||
\(710\) | 3769.99 | − | 3985.79i | 0.199275 | − | 0.210682i | ||||
\(711\) | 298.910 | − | 2538.76i | 0.0157665 | − | 0.133911i | ||||
\(712\) | 17943.5 | 0.944469 | ||||||||
\(713\) | 17834.0i | 0.936730i | ||||||||
\(714\) | 30531.6 | + | 20261.0i | 1.60030 | + | 1.06197i | ||||
\(715\) | 59.7121 | − | 63.1300i | 0.00312322 | − | 0.00330200i | ||||
\(716\) | − | 853.090i | − | 0.0445272i | ||||||
\(717\) | 14218.6 | + | 15990.9i | 0.740590 | + | 0.832901i | ||||
\(718\) | − | 9512.91i | − | 0.494455i | ||||||
\(719\) | 12233.8 | 0.634555 | 0.317278 | − | 0.948333i | \(-0.397231\pi\) | ||||
0.317278 | + | 0.948333i | \(0.397231\pi\) | |||||||
\(720\) | 17978.8 | − | 15021.3i | 0.930596 | − | 0.777513i | ||||
\(721\) | 27936.2 | − | 7375.27i | 1.44300 | − | 0.380956i | ||||
\(722\) | −9216.13 | −0.475054 | ||||||||
\(723\) | 22940.5 | + | 25799.9i | 1.18004 | + | 1.32712i | ||||
\(724\) | 6273.97i | 0.322058i | ||||||||
\(725\) | −9678.56 | + | 539.001i | −0.495797 | + | 0.0276110i | ||||
\(726\) | −16706.3 | + | 14854.7i | −0.854035 | + | 0.759382i | ||||
\(727\) | −27169.3 | −1.38604 | −0.693021 | − | 0.720918i | \(-0.743721\pi\) | ||||
−0.693021 | + | 0.720918i | \(0.743721\pi\) | |||||||
\(728\) | 4122.41 | − | 1088.33i | 0.209872 | − | 0.0554070i | ||||
\(729\) | −6778.77 | + | 18478.9i | −0.344397 | + | 0.938824i | ||||
\(730\) | −6362.61 | − | 6018.13i | −0.322590 | − | 0.305125i | ||||
\(731\) | 61177.3 | 3.09538 | ||||||||
\(732\) | −1457.71 | − | 1639.41i | −0.0736046 | − | 0.0827792i | ||||
\(733\) | −13215.7 | −0.665937 | −0.332968 | − | 0.942938i | \(-0.608050\pi\) | ||||
−0.332968 | + | 0.942938i | \(0.608050\pi\) | |||||||
\(734\) | 7813.92 | 0.392939 | ||||||||
\(735\) | 17624.3 | − | 9297.77i | 0.884467 | − | 0.466603i | ||||
\(736\) | 14626.7 | 0.732538 | ||||||||
\(737\) | 377.048 | 0.0188450 | ||||||||
\(738\) | 592.769 | − | 5034.62i | 0.0295666 | − | 0.251121i | ||||
\(739\) | 12158.0 | 0.605194 | 0.302597 | − | 0.953119i | \(-0.402146\pi\) | ||||
0.302597 | + | 0.953119i | \(0.402146\pi\) | |||||||
\(740\) | 4909.90 | − | 5190.94i | 0.243908 | − | 0.257869i | ||||
\(741\) | 4367.95 | + | 4912.39i | 0.216546 | + | 0.243537i | ||||
\(742\) | 31868.8 | − | 8413.49i | 1.57674 | − | 0.416265i | ||||
\(743\) | 28694.3 | 1.41681 | 0.708406 | − | 0.705805i | \(-0.249414\pi\) | ||||
0.708406 | + | 0.705805i | \(0.249414\pi\) | |||||||
\(744\) | −8113.71 | − | 9125.05i | −0.399816 | − | 0.449651i | ||||
\(745\) | 17308.9 | − | 18299.6i | 0.851206 | − | 0.899929i | ||||
\(746\) | 15167.4i | 0.744392i | ||||||||
\(747\) | 20914.4 | + | 2462.43i | 1.02439 | + | 0.120610i | ||||
\(748\) | −174.956 | −0.00855215 | ||||||||
\(749\) | −13547.1 | + | 3576.49i | −0.660883 | + | 0.174476i | ||||
\(750\) | 583.398 | + | 23472.3i | 0.0284036 | + | 1.14278i | ||||
\(751\) | −5141.82 | −0.249837 | −0.124919 | − | 0.992167i | \(-0.539867\pi\) | ||||
−0.124919 | + | 0.992167i | \(0.539867\pi\) | |||||||
\(752\) | 8118.27i | 0.393674i | ||||||||
\(753\) | 624.376 | − | 555.176i | 0.0302172 | − | 0.0268682i | ||||
\(754\) | 3219.08i | 0.155480i | ||||||||
\(755\) | 6785.75 | + | 6418.36i | 0.327097 | + | 0.309388i | ||||
\(756\) | −4864.27 | − | 4122.81i | −0.234010 | − | 0.198340i | ||||
\(757\) | − | 23836.1i | − | 1.14444i | −0.820102 | − | 0.572218i | \(-0.806083\pi\) | ||
0.820102 | − | 0.572218i | \(-0.193917\pi\) | |||||||
\(758\) | 2380.48 | 0.114067 | ||||||||
\(759\) | 284.449 | + | 319.904i | 0.0136032 | + | 0.0152988i | ||||
\(760\) | 13574.7 | − | 14351.8i | 0.647905 | − | 0.684990i | ||||
\(761\) | −29237.9 | −1.39274 | −0.696369 | − | 0.717684i | \(-0.745202\pi\) | ||||
−0.696369 | + | 0.717684i | \(0.745202\pi\) | |||||||
\(762\) | −15183.8 | − | 17076.4i | −0.721850 | − | 0.811825i | ||||
\(763\) | 14246.6 | − | 3761.15i | 0.675965 | − | 0.178457i | ||||
\(764\) | 7338.87i | 0.347527i | ||||||||
\(765\) | −22793.2 | − | 27280.9i | −1.07724 | − | 1.28934i | ||||
\(766\) | 38195.4i | 1.80164i | ||||||||
\(767\) | −6399.08 | −0.301248 | ||||||||
\(768\) | −13400.6 | + | 11915.4i | −0.629625 | + | 0.559843i | ||||
\(769\) | − | 11924.6i | − | 0.559185i | −0.960119 | − | 0.279592i | \(-0.909801\pi\) | ||
0.960119 | − | 0.279592i | \(-0.0901993\pi\) | |||||||
\(770\) | −194.120 | + | 355.784i | −0.00908519 | + | 0.0166514i | ||||
\(771\) | 2028.20 | + | 2281.00i | 0.0947389 | + | 0.106548i | ||||
\(772\) | − | 9692.58i | − | 0.451870i | ||||||
\(773\) | − | 16127.3i | − | 0.750400i | −0.926944 | − | 0.375200i | \(-0.877574\pi\) | ||
0.926944 | − | 0.375200i | \(-0.122426\pi\) | |||||||
\(774\) | −45039.2 | − | 5302.85i | −2.09160 | − | 0.246262i | ||||
\(775\) | 16355.9 | − | 910.863i | 0.758092 | − | 0.0422183i | ||||
\(776\) | 20218.4 | 0.935305 | ||||||||
\(777\) | 20881.6 | + | 13857.2i | 0.964121 | + | 0.639799i | ||||
\(778\) | − | 12121.4i | − | 0.558576i | ||||||
\(779\) | − | 5721.98i | − | 0.263172i | ||||||
\(780\) | 1829.50 | + | 56.3353i | 0.0839827 | + | 0.00258606i | ||||
\(781\) | −91.8776 | −0.00420952 | ||||||||
\(782\) | − | 51816.7i | − | 2.36952i | ||||||
\(783\) | −8920.06 | + | 6229.08i | −0.407122 | + | 0.284303i | ||||
\(784\) | −23151.3 | + | 13139.9i | −1.05463 | + | 0.598573i | ||||
\(785\) | −24364.7 | − | 23045.5i | −1.10779 | − | 1.04781i | ||||
\(786\) | −15509.2 | + | 13790.3i | −0.703808 | + | 0.625805i | ||||
\(787\) | 17480.8 | 0.791770 | 0.395885 | − | 0.918300i | \(-0.370438\pi\) | ||||
0.395885 | + | 0.918300i | \(0.370438\pi\) | |||||||
\(788\) | 3885.46 | 0.175652 | ||||||||
\(789\) | 18487.5 | − | 16438.5i | 0.834184 | − | 0.741730i | ||||
\(790\) | −2486.45 | − | 2351.83i | −0.111980 | − | 0.105917i | ||||
\(791\) | −7010.33 | + | 1850.75i | −0.315118 | + | 0.0831924i | ||||
\(792\) | −291.086 | − | 34.2720i | −0.0130597 | − | 0.00153763i | ||||
\(793\) | 2208.72i | 0.0989079i | ||||||||
\(794\) | −18656.0 | −0.833851 | ||||||||
\(795\) | −31962.3 | − | 984.209i | −1.42589 | − | 0.0439073i | ||||
\(796\) | − | 249.490i | − | 0.0111092i | ||||||
\(797\) | 317.152i | 0.0140955i | 0.999975 | + | 0.00704775i | \(0.00224339\pi\) | ||||
−0.999975 | + | 0.00704775i | \(0.997757\pi\) | |||||||
\(798\) | −25546.4 | − | 16952.8i | −1.13325 | − | 0.752034i | ||||
\(799\) | 12318.6 | 0.545433 | ||||||||
\(800\) | −747.054 | − | 13414.5i | −0.0330154 | − | 0.592841i | ||||
\(801\) | −3159.24 | + | 26832.7i | −0.139359 | + | 1.18363i | ||||
\(802\) | 20630.0i | 0.908318i | ||||||||
\(803\) | 146.666i | 0.00644551i | ||||||||
\(804\) | 5277.36 | + | 5935.16i | 0.231490 | + | 0.260344i | ||||
\(805\) | −24735.9 | − | 13496.2i | −1.08301 | − | 0.590904i | ||||
\(806\) | − | 5439.96i | − | 0.237735i | ||||||
\(807\) | −21899.8 | + | 19472.6i | −0.955278 | + | 0.849403i | ||||
\(808\) | 8707.76 | 0.379131 | ||||||||
\(809\) | − | 6248.49i | − | 0.271552i | −0.990740 | − | 0.135776i | \(-0.956647\pi\) | ||
0.990740 | − | 0.135776i | \(-0.0433527\pi\) | |||||||
\(810\) | 14415.8 | + | 22060.1i | 0.625333 | + | 0.956930i | ||||
\(811\) | 36680.9i | 1.58821i | 0.607778 | + | 0.794107i | \(0.292061\pi\) | ||||
−0.607778 | + | 0.794107i | \(0.707939\pi\) | |||||||
\(812\) | −899.670 | − | 3407.79i | −0.0388821 | − | 0.147278i | ||||
\(813\) | −7771.77 | − | 8740.49i | −0.335262 | − | 0.377051i | ||||
\(814\) | −509.733 | −0.0219486 | ||||||||
\(815\) | −6169.21 | + | 6522.33i | −0.265151 | + | 0.280328i | ||||
\(816\) | 31557.2 | + | 35490.6i | 1.35383 | + | 1.52257i | ||||
\(817\) | −51188.3 | −2.19199 | ||||||||
\(818\) | − | 17876.9i | − | 0.764120i | ||||||
\(819\) | 901.673 | + | 6356.26i | 0.0384701 | + | 0.271191i | ||||
\(820\) | −1157.51 | − | 1094.84i | −0.0492951 | − | 0.0466262i | ||||
\(821\) | 18852.3i | 0.801402i | 0.916209 | + | 0.400701i | \(0.131233\pi\) | ||||
−0.916209 | + | 0.400701i | \(0.868767\pi\) | |||||||
\(822\) | 1774.12 | − | 1577.50i | 0.0752794 | − | 0.0669361i | ||||
\(823\) | 21450.8i | 0.908539i | 0.890864 | + | 0.454270i | \(0.150100\pi\) | ||||
−0.890864 | + | 0.454270i | \(0.849900\pi\) | |||||||
\(824\) | 27975.0 | 1.18271 | ||||||||
\(825\) | 278.862 | − | 277.213i | 0.0117682 | − | 0.0116985i | ||||
\(826\) | 28857.5 | − | 7618.50i | 1.21560 | − | 0.320922i | ||||
\(827\) | 16908.5 | 0.710964 | 0.355482 | − | 0.934683i | \(-0.384317\pi\) | ||||
0.355482 | + | 0.934683i | \(0.384317\pi\) | |||||||
\(828\) | −1054.36 | + | 8955.08i | −0.0442530 | + | 0.375858i | ||||
\(829\) | − | 31015.2i | − | 1.29940i | −0.760191 | − | 0.649699i | \(-0.774895\pi\) | ||
0.760191 | − | 0.649699i | \(-0.225105\pi\) | |||||||
\(830\) | 19374.5 | − | 20483.5i | 0.810241 | − | 0.856619i | ||||
\(831\) | −21834.6 | − | 24556.2i | −0.911471 | − | 1.02508i | ||||
\(832\) | 3509.58 | 0.146241 | ||||||||
\(833\) | 19938.3 | + | 35129.6i | 0.829319 | + | 1.46119i | ||||
\(834\) | −9988.31 | − | 11233.3i | −0.414709 | − | 0.466400i | ||||
\(835\) | −11442.5 | + | 12097.5i | −0.474234 | + | 0.501379i | ||||
\(836\) | 146.389 | 0.00605618 | ||||||||
\(837\) | 15074.1 | − | 10526.6i | 0.622505 | − | 0.434710i | ||||
\(838\) | 14528.0 | 0.598878 | ||||||||
\(839\) | −38712.1 | −1.59296 | −0.796478 | − | 0.604668i | \(-0.793306\pi\) | ||||
−0.796478 | + | 0.604668i | \(0.793306\pi\) | |||||||
\(840\) | 18796.7 | − | 4348.25i | 0.772081 | − | 0.178606i | ||||
\(841\) | 18375.2 | 0.753423 | ||||||||
\(842\) | −322.971 | −0.0132189 | ||||||||
\(843\) | −27308.5 | − | 30712.4i | −1.11572 | − | 1.25479i | ||||
\(844\) | 12386.0 | 0.505148 | ||||||||
\(845\) | 16506.3 | + | 15612.7i | 0.671995 | + | 0.635612i | ||||
\(846\) | −9069.06 | − | 1067.78i | −0.368559 | − | 0.0433935i | ||||
\(847\) | −23827.3 | + | 6290.50i | −0.966607 | + | 0.255188i | ||||
\(848\) | 42719.4 | 1.72994 | ||||||||
\(849\) | 5300.00 | − | 4712.59i | 0.214247 | − | 0.190501i | ||||
\(850\) | −47522.1 | + | 2646.52i | −1.91764 | + | 0.106794i | ||||
\(851\) | − | 35439.2i | − | 1.42754i | ||||||
\(852\) | −1285.96 | − | 1446.26i | −0.0517094 | − | 0.0581548i | ||||
\(853\) | 26344.4 | 1.05746 | 0.528731 | − | 0.848790i | \(-0.322668\pi\) | ||||
0.528731 | + | 0.848790i | \(0.322668\pi\) | |||||||
\(854\) | −2629.62 | − | 9960.54i | −0.105367 | − | 0.399113i | ||||
\(855\) | 19071.5 | + | 22826.5i | 0.762844 | + | 0.913039i | ||||
\(856\) | −13565.9 | −0.541675 | ||||||||
\(857\) | − | 15218.9i | − | 0.606615i | −0.952893 | − | 0.303308i | \(-0.901909\pi\) | ||
0.952893 | − | 0.303308i | \(-0.0980909\pi\) | |||||||
\(858\) | −86.7664 | − | 97.5815i | −0.00345240 | − | 0.00388272i | ||||
\(859\) | 48018.8i | 1.90731i | 0.300899 | + | 0.953656i | \(0.402713\pi\) | ||||
−0.300899 | + | 0.953656i | \(0.597287\pi\) | |||||||
\(860\) | −9794.34 | + | 10355.0i | −0.388354 | + | 0.410583i | ||||
\(861\) | 3089.97 | − | 4656.30i | 0.122306 | − | 0.184305i | ||||
\(862\) | − | 43855.3i | − | 1.73285i | ||||||
\(863\) | −35618.5 | −1.40495 | −0.702473 | − | 0.711710i | \(-0.747921\pi\) | ||||
−0.702473 | + | 0.711710i | \(0.747921\pi\) | |||||||
\(864\) | −8633.49 | − | 12363.2i | −0.339951 | − | 0.486810i | ||||
\(865\) | 2021.14 | − | 2136.83i | 0.0794459 | − | 0.0839934i | ||||
\(866\) | 33627.7 | 1.31953 | ||||||||
\(867\) | 34775.5 | − | 30921.3i | 1.36221 | − | 1.21124i | ||||
\(868\) | 1520.36 | + | 5758.87i | 0.0594521 | + | 0.225194i | ||||
\(869\) | 57.3159i | 0.00223741i | ||||||||
\(870\) | −448.328 | + | 14559.5i | −0.0174710 | + | 0.567372i | ||||
\(871\) | − | 7996.23i | − | 0.311070i | ||||||
\(872\) | 14266.3 | 0.554036 | ||||||||
\(873\) | −3559.76 | + | 30234.5i | −0.138006 | + | 1.17214i | ||||
\(874\) | 43356.1i | 1.67797i | ||||||||
\(875\) | −11114.2 | + | 23375.1i | −0.429406 | + | 0.903112i | ||||
\(876\) | −2308.69 | + | 2052.82i | −0.0890450 | + | 0.0791761i | ||||
\(877\) | 21298.0i | 0.820049i | 0.912074 | + | 0.410025i | \(0.134480\pi\) | ||||
−0.912074 | + | 0.410025i | \(0.865520\pi\) | |||||||
\(878\) | 20945.4i | 0.805094i | ||||||||
\(879\) | 21264.7 | + | 23915.2i | 0.815972 | + | 0.917679i | ||||
\(880\) | −360.963 | + | 381.625i | −0.0138274 | + | 0.0146188i | ||||
\(881\) | −19493.5 | −0.745464 | −0.372732 | − | 0.927939i | \(-0.621579\pi\) | ||||
−0.372732 | + | 0.927939i | \(0.621579\pi\) | |||||||
\(882\) | −11633.7 | − | 27590.9i | −0.444136 | − | 1.05333i | ||||
\(883\) | 31577.5i | 1.20347i | 0.798694 | + | 0.601737i | \(0.205524\pi\) | ||||
−0.798694 | + | 0.601737i | \(0.794476\pi\) | |||||||
\(884\) | 3710.36i | 0.141169i | ||||||||
\(885\) | −28942.2 | − | 891.212i | −1.09930 | − | 0.0338506i | ||||
\(886\) | −26939.0 | −1.02148 | ||||||||
\(887\) | 6376.75i | 0.241387i | 0.992690 | + | 0.120693i | \(0.0385118\pi\) | ||||
−0.992690 | + | 0.120693i | \(0.961488\pi\) | |||||||
\(888\) | 16123.3 | + | 18133.0i | 0.609306 | + | 0.685253i | ||||
\(889\) | −6429.83 | − | 24355.1i | −0.242575 | − | 0.918833i | ||||
\(890\) | 26279.8 | + | 24857.0i | 0.989777 | + | 0.936190i | ||||
\(891\) | 102.500 | − | 429.254i | 0.00385397 | − | 0.0161398i | ||||
\(892\) | −4579.34 | −0.171892 | ||||||||
\(893\) | −10307.2 | −0.386247 | ||||||||
\(894\) | −25151.2 | − | 28286.2i | −0.940920 | − | 1.05820i | ||||
\(895\) | −2670.72 | + | 2823.59i | −0.0997456 | + | 0.105455i | ||||
\(896\) | −31224.1 | + | 8243.29i | −1.16420 | + | 0.307354i | ||||
\(897\) | 6784.35 | − | 6032.44i | 0.252534 | − | 0.224545i | ||||
\(898\) | − | 18015.5i | − | 0.669472i | ||||||
\(899\) | 10162.7 | 0.377025 | ||||||||
\(900\) | 8266.73 | + | 509.595i | 0.306175 | + | 0.0188739i | ||||
\(901\) | − | 64822.1i | − | 2.39682i | ||||||
\(902\) | 113.663i | 0.00419576i | ||||||||
\(903\) | −41654.8 | − | 27642.5i | −1.53509 | − | 1.01870i | ||||
\(904\) | −7020.05 | −0.258278 | ||||||||
\(905\) | 19641.6 | − | 20765.8i | 0.721445 | − | 0.762740i | ||||
\(906\) | 10488.9 | − | 9326.39i | 0.384625 | − | 0.341996i | ||||
\(907\) | 19030.9i | 0.696704i | 0.937364 | + | 0.348352i | \(0.113259\pi\) | ||||
−0.937364 | + | 0.348352i | \(0.886741\pi\) | |||||||
\(908\) | 5571.82i | 0.203642i | ||||||||
\(909\) | −1533.14 | + | 13021.5i | −0.0559416 | + | 0.475135i | ||||
\(910\) | 7545.28 | + | 4116.79i | 0.274861 | + | 0.149967i | ||||
\(911\) | − | 17120.3i | − | 0.622635i | −0.950306 | − | 0.311317i | \(-0.899230\pi\) | ||
0.950306 | − | 0.311317i | \(-0.100770\pi\) | |||||||
\(912\) | −26404.5 | − | 29695.7i | −0.958708 | − | 1.07821i | ||||
\(913\) | −472.172 | −0.0171157 | ||||||||
\(914\) | − | 31262.3i | − | 1.13136i | ||||||
\(915\) | −307.613 | + | 9989.76i | −0.0111141 | + | 0.360930i | ||||
\(916\) | 2450.00i | 0.0883738i | ||||||||
\(917\) | −22119.9 | + | 5839.73i | −0.796578 | + | 0.210300i | ||||
\(918\) | −43797.8 | + | 30585.0i | −1.57467 | + | 1.09963i | ||||
\(919\) | 19873.5 | 0.713348 | 0.356674 | − | 0.934229i | \(-0.383911\pi\) | ||||
0.356674 | + | 0.934229i | \(0.383911\pi\) | |||||||
\(920\) | −19820.8 | − | 18747.7i | −0.710295 | − | 0.671839i | ||||
\(921\) | 28177.3 | − | 25054.4i | 1.00812 | − | 0.896385i | ||||
\(922\) | 30845.9 | 1.10180 | ||||||||
\(923\) | 1948.49i | 0.0694857i | ||||||||
\(924\) | 119.125 | + | 79.0524i | 0.00424126 | + | 0.00281454i | ||||
\(925\) | −32502.0 | + | 1810.04i | −1.15531 | + | 0.0643392i | ||||
\(926\) | − | 941.490i | − | 0.0334117i | ||||||
\(927\) | −4925.43 | + | 41833.6i | −0.174512 | + | 1.48220i | ||||
\(928\) | − | 8335.05i | − | 0.294840i | ||||||
\(929\) | 19136.9 | 0.675848 | 0.337924 | − | 0.941173i | \(-0.390275\pi\) | ||||
0.337924 | + | 0.941173i | \(0.390275\pi\) | |||||||
\(930\) | 757.634 | − | 24604.3i | 0.0267138 | − | 0.867533i | ||||
\(931\) | −16682.8 | − | 29393.6i | −0.587279 | − | 1.03473i | ||||
\(932\) | −10058.9 | −0.353530 | ||||||||
\(933\) | 32637.5 | − | 29020.2i | 1.14523 | − | 1.01831i | ||||
\(934\) | − | 40193.6i | − | 1.40811i | ||||||
\(935\) | 579.075 | + | 547.723i | 0.0202543 | + | 0.0191577i | ||||
\(936\) | −726.821 | + | 6173.18i | −0.0253813 | + | 0.215574i | ||||
\(937\) | −41598.2 | −1.45032 | −0.725162 | − | 0.688579i | \(-0.758235\pi\) | ||||
−0.725162 | + | 0.688579i | \(0.758235\pi\) | |||||||
\(938\) | 9520.01 | + | 36060.1i | 0.331385 | + | 1.25523i | ||||
\(939\) | 11698.3 | − | 10401.8i | 0.406561 | − | 0.361501i | ||||
\(940\) | −1972.18 | + | 2085.07i | −0.0684312 | + | 0.0723482i | ||||
\(941\) | −7521.59 | −0.260570 | −0.130285 | − | 0.991477i | \(-0.541589\pi\) | ||||
−0.130285 | + | 0.991477i | \(0.541589\pi\) | |||||||
\(942\) | −37661.0 | + | 33487.0i | −1.30261 | + | 1.15824i | ||||
\(943\) | −7902.46 | −0.272894 | ||||||||
\(944\) | 38682.8 | 1.33371 | ||||||||
\(945\) | 3192.90 | + | 28874.1i | 0.109910 | + | 0.993942i | ||||
\(946\) | 1016.82 | 0.0349469 | ||||||||
\(947\) | 40980.9 | 1.40623 | 0.703115 | − | 0.711076i | \(-0.251792\pi\) | ||||
0.703115 | + | 0.711076i | \(0.251792\pi\) | |||||||
\(948\) | −902.217 | + | 802.223i | −0.0309099 | + | 0.0274842i | ||||
\(949\) | 3110.42 | 0.106395 | ||||||||
\(950\) | 39762.7 | − | 2214.39i | 1.35797 | − | 0.0756257i | ||||
\(951\) | 32521.6 | − | 28917.2i | 1.10892 | − | 0.986018i | ||||
\(952\) | 9982.99 | + | 37813.8i | 0.339864 | + | 1.28735i | ||||
\(953\) | −35640.8 | −1.21146 | −0.605729 | − | 0.795671i | \(-0.707118\pi\) | ||||
−0.605729 | + | 0.795671i | \(0.707118\pi\) | |||||||
\(954\) | −5618.78 | + | 47722.5i | −0.190686 | + | 1.61958i | ||||
\(955\) | 22975.4 | − | 24290.5i | 0.778498 | − | 0.823059i | ||||
\(956\) | − | 10105.9i | − | 0.341892i | ||||||
\(957\) | 182.298 | − | 162.093i | 0.00615763 | − | 0.00547517i | ||||
\(958\) | −7276.25 | −0.245391 | ||||||||
\(959\) | 2530.34 | − | 668.018i | 0.0852021 | − | 0.0224937i | ||||
\(960\) | 15873.4 | + | 488.786i | 0.533657 | + | 0.0164328i | ||||
\(961\) | 12616.9 | 0.423514 | ||||||||
\(962\) | 10810.1i | 0.362300i | ||||||||
\(963\) | 2388.49 | − | 20286.4i | 0.0799253 | − | 0.678837i | ||||
\(964\) | − | 16305.1i | − | 0.544762i | ||||||
\(965\) | −30344.0 | + | 32080.9i | −1.01224 | + | 1.07018i | ||||
\(966\) | −23413.0 | + | 35281.3i | −0.779815 | + | 1.17511i | ||||
\(967\) | 4062.19i | 0.135089i | 0.997716 | + | 0.0675446i | \(0.0215165\pi\) | ||||
−0.997716 | + | 0.0675446i | \(0.978484\pi\) | |||||||
\(968\) | −23860.3 | −0.792252 | ||||||||
\(969\) | −45060.1 | + | 40066.0i | −1.49385 | + | 1.32828i | ||||
\(970\) | 29611.5 | + | 28008.3i | 0.980174 | + | 0.927106i | ||||
\(971\) | −26187.3 | −0.865489 | −0.432745 | − | 0.901517i | \(-0.642455\pi\) | ||||
−0.432745 | + | 0.901517i | \(0.642455\pi\) | |||||||
\(972\) | 8191.58 | − | 4394.59i | 0.270314 | − | 0.145017i | ||||
\(973\) | −4229.73 | − | 16021.5i | −0.139362 | − | 0.527877i | ||||
\(974\) | − | 60991.0i | − | 2.00645i | ||||||
\(975\) | −5878.97 | − | 5913.96i | −0.193105 | − | 0.194255i | ||||
\(976\) | − | 13351.9i | − | 0.437892i | ||||||
\(977\) | 52450.5 | 1.71754 | 0.858771 | − | 0.512359i | \(-0.171228\pi\) | ||||
0.858771 | + | 0.512359i | \(0.171228\pi\) | |||||||
\(978\) | 8964.35 | + | 10081.7i | 0.293096 | + | 0.329630i | ||||
\(979\) | − | 605.784i | − | 0.0197762i | ||||||
\(980\) | −9138.16 | − | 2249.37i | −0.297865 | − | 0.0733197i | ||||
\(981\) | −2511.81 | + | 21333.8i | −0.0817492 | + | 0.694329i | ||||
\(982\) | − | 35118.0i | − | 1.14120i | ||||||
\(983\) | − | 29302.0i | − | 0.950750i | −0.879783 | − | 0.475375i | \(-0.842312\pi\) | ||
0.879783 | − | 0.475375i | \(-0.157688\pi\) | |||||||
\(984\) | 4043.42 | − | 3595.28i | 0.130995 | − | 0.116477i | ||||
\(985\) | −12860.2 | − | 12164.0i | −0.416001 | − | 0.393479i | ||||
\(986\) | −29527.8 | −0.953709 | ||||||||
\(987\) | −8387.57 | − | 5566.07i | −0.270496 | − | 0.179504i | ||||
\(988\) | − | 3104.54i | − | 0.0999681i | ||||||
\(989\) | 70694.6i | 2.27296i | ||||||||
\(990\) | −378.843 | − | 453.433i | −0.0121620 | − | 0.0145566i | ||||
\(991\) | −47052.6 | −1.50825 | −0.754124 | − | 0.656732i | \(-0.771938\pi\) | ||||
−0.754124 | + | 0.656732i | \(0.771938\pi\) | |||||||
\(992\) | 14085.5i | 0.450822i | ||||||||
\(993\) | 28694.0 | − | 25513.8i | 0.916996 | − | 0.815364i | ||||
\(994\) | −2319.80 | − | 8786.99i | −0.0740237 | − | 0.280389i | ||||
\(995\) | −781.063 | + | 825.771i | −0.0248858 | + | 0.0263103i | ||||
\(996\) | −6608.76 | − | 7432.51i | −0.210247 | − | 0.236454i | ||||
\(997\) | 1936.22 | 0.0615051 | 0.0307526 | − | 0.999527i | \(-0.490210\pi\) | ||||
0.0307526 | + | 0.999527i | \(0.490210\pi\) | |||||||
\(998\) | 5657.54 | 0.179445 | ||||||||
\(999\) | −29954.8 | + | 20918.1i | −0.948677 | + | 0.662483i |
(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 | 105.4.g.b.104.30 | yes | 40 | |
3.2 | odd | 2 | inner | 105.4.g.b.104.9 | ✓ | 40 | |
5.4 | even | 2 | inner | 105.4.g.b.104.11 | yes | 40 | |
7.6 | odd | 2 | inner | 105.4.g.b.104.31 | yes | 40 | |
15.14 | odd | 2 | inner | 105.4.g.b.104.32 | yes | 40 | |
21.20 | even | 2 | inner | 105.4.g.b.104.12 | yes | 40 | |
35.34 | odd | 2 | inner | 105.4.g.b.104.10 | yes | 40 | |
105.104 | even | 2 | inner | 105.4.g.b.104.29 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
105.4.g.b.104.9 | ✓ | 40 | 3.2 | odd | 2 | inner | |
105.4.g.b.104.10 | yes | 40 | 35.34 | odd | 2 | inner | |
105.4.g.b.104.11 | yes | 40 | 5.4 | even | 2 | inner | |
105.4.g.b.104.12 | yes | 40 | 21.20 | even | 2 | inner | |
105.4.g.b.104.29 | yes | 40 | 105.104 | even | 2 | inner | |
105.4.g.b.104.30 | yes | 40 | 1.1 | even | 1 | trivial | |
105.4.g.b.104.31 | yes | 40 | 7.6 | odd | 2 | inner | |
105.4.g.b.104.32 | yes | 40 | 15.14 | odd | 2 | inner |