Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [108,4,Mod(11,108)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(108, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 13]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("108.11");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 108 = 2^{2} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 108.l (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.37220628062\) |
Analytic rank: | \(0\) |
Dimension: | \(312\) |
Relative dimension: | \(52\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 11.45 | ||
Character | \(\chi\) | \(=\) | 108.11 |
Dual form | 108.4.l.a.59.45 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(55\) |
\(\chi(n)\) | \(e\left(\frac{13}{18}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.40490 | + | 1.48878i | 0.850260 | + | 0.526363i | ||||
\(3\) | 4.43306 | − | 2.71072i | 0.853143 | − | 0.521678i | ||||
\(4\) | 3.56707 | + | 7.16072i | 0.445884 | + | 0.895091i | ||||
\(5\) | 5.32629 | − | 14.6339i | 0.476398 | − | 1.30889i | −0.436132 | − | 0.899883i | \(-0.643652\pi\) |
0.912530 | − | 0.409010i | \(-0.134126\pi\) | |||||||
\(6\) | 14.6967 | + | 0.0808436i | 0.999985 | + | 0.00550071i | ||||
\(7\) | −6.67869 | − | 1.17763i | −0.360616 | − | 0.0635863i | −0.00959492 | − | 0.999954i | \(-0.503054\pi\) |
−0.351021 | + | 0.936368i | \(0.614165\pi\) | |||||||
\(8\) | −2.08229 | + | 22.5314i | −0.0920249 | + | 0.995757i | ||||
\(9\) | 12.3040 | − | 24.0335i | 0.455704 | − | 0.890131i | ||||
\(10\) | 34.5958 | − | 27.2633i | 1.09401 | − | 0.862141i | ||||
\(11\) | 32.8435 | − | 11.9540i | 0.900243 | − | 0.327662i | 0.149893 | − | 0.988702i | \(-0.452107\pi\) |
0.750350 | + | 0.661041i | \(0.229885\pi\) | |||||||
\(12\) | 35.2238 | + | 22.0746i | 0.847352 | + | 0.531032i | ||||
\(13\) | −58.0957 | + | 48.7481i | −1.23945 | + | 1.04002i | −0.241883 | + | 0.970305i | \(0.577765\pi\) |
−0.997567 | + | 0.0697169i | \(0.977790\pi\) | |||||||
\(14\) | −14.3083 | − | 12.7752i | −0.273148 | − | 0.243880i | ||||
\(15\) | −16.0565 | − | 79.3109i | −0.276385 | − | 1.36520i | ||||
\(16\) | −38.5520 | + | 51.0857i | −0.602374 | + | 0.798214i | ||||
\(17\) | −26.5003 | + | 15.3000i | −0.378075 | + | 0.218282i | −0.676980 | − | 0.736001i | \(-0.736712\pi\) |
0.298905 | + | 0.954283i | \(0.403378\pi\) | |||||||
\(18\) | 65.3705 | − | 39.4803i | 0.855999 | − | 0.516977i | ||||
\(19\) | 47.8487 | + | 27.6255i | 0.577750 | + | 0.333564i | 0.760239 | − | 0.649644i | \(-0.225082\pi\) |
−0.182489 | + | 0.983208i | \(0.558415\pi\) | |||||||
\(20\) | 123.788 | − | 14.0600i | 1.38400 | − | 0.157195i | ||||
\(21\) | −32.7993 | + | 12.8835i | −0.340828 | + | 0.133877i | ||||
\(22\) | 96.7821 | + | 20.1484i | 0.937910 | + | 0.195257i | ||||
\(23\) | 16.2062 | + | 91.9101i | 0.146923 | + | 0.833243i | 0.965803 | + | 0.259277i | \(0.0834844\pi\) |
−0.818880 | + | 0.573965i | \(0.805404\pi\) | |||||||
\(24\) | 51.8454 | + | 105.528i | 0.440954 | + | 0.897530i | ||||
\(25\) | −90.0251 | − | 75.5401i | −0.720201 | − | 0.604320i | ||||
\(26\) | −212.289 | + | 30.7425i | −1.60128 | + | 0.231889i | ||||
\(27\) | −10.6037 | − | 139.895i | −0.0755809 | − | 0.997140i | ||||
\(28\) | −15.3907 | − | 52.0250i | −0.103877 | − | 0.351136i | ||||
\(29\) | −146.505 | + | 174.598i | −0.938115 | + | 1.11800i | 0.0547186 | + | 0.998502i | \(0.482574\pi\) |
−0.992834 | + | 0.119501i | \(0.961871\pi\) | |||||||
\(30\) | 79.4621 | − | 214.639i | 0.483591 | − | 1.30625i | ||||
\(31\) | 134.207 | − | 23.6644i | 0.777560 | − | 0.137105i | 0.229236 | − | 0.973371i | \(-0.426377\pi\) |
0.548324 | + | 0.836266i | \(0.315266\pi\) | |||||||
\(32\) | −168.769 | + | 65.4605i | −0.932325 | + | 0.361622i | ||||
\(33\) | 113.193 | − | 142.022i | 0.597102 | − | 0.749179i | ||||
\(34\) | −86.5089 | − | 2.65825i | −0.436357 | − | 0.0134084i | ||||
\(35\) | −52.8060 | + | 91.4627i | −0.255024 | + | 0.441715i | ||||
\(36\) | 215.987 | + | 2.37627i | 0.999939 | + | 0.0110013i | ||||
\(37\) | −109.255 | − | 189.235i | −0.485442 | − | 0.840810i | 0.514418 | − | 0.857539i | \(-0.328008\pi\) |
−0.999860 | + | 0.0167296i | \(0.994675\pi\) | |||||||
\(38\) | 73.9431 | + | 137.673i | 0.315662 | + | 0.587722i | ||||
\(39\) | −125.399 | + | 373.584i | −0.514871 | + | 1.53388i | ||||
\(40\) | 318.631 | + | 150.481i | 1.25950 | + | 0.594827i | ||||
\(41\) | 42.2042 | + | 50.2970i | 0.160761 | + | 0.191587i | 0.840412 | − | 0.541948i | \(-0.182313\pi\) |
−0.679651 | + | 0.733536i | \(0.737869\pi\) | |||||||
\(42\) | −98.0597 | − | 17.8473i | −0.360260 | − | 0.0655689i | ||||
\(43\) | −37.6216 | − | 103.364i | −0.133424 | − | 0.366580i | 0.854932 | − | 0.518741i | \(-0.173599\pi\) |
−0.988356 | + | 0.152161i | \(0.951377\pi\) | |||||||
\(44\) | 202.755 | + | 192.542i | 0.694691 | + | 0.659700i | ||||
\(45\) | −286.169 | − | 308.065i | −0.947990 | − | 1.02053i | ||||
\(46\) | −97.8595 | + | 245.162i | −0.313665 | + | 0.785808i | ||||
\(47\) | 1.93936 | − | 10.9987i | 0.00601883 | − | 0.0341345i | −0.981650 | − | 0.190689i | \(-0.938928\pi\) |
0.987669 | + | 0.156555i | \(0.0500388\pi\) | |||||||
\(48\) | −32.4243 | + | 330.969i | −0.0975009 | + | 0.995235i | ||||
\(49\) | −279.096 | − | 101.583i | −0.813692 | − | 0.296160i | ||||
\(50\) | −104.039 | − | 315.694i | −0.294266 | − | 0.892917i | ||||
\(51\) | −76.0036 | + | 139.661i | −0.208679 | + | 0.383459i | ||||
\(52\) | −556.303 | − | 242.119i | −1.48357 | − | 0.645691i | ||||
\(53\) | − | 586.118i | − | 1.51905i | −0.650480 | − | 0.759523i | \(-0.725432\pi\) | ||
0.650480 | − | 0.759523i | \(-0.274568\pi\) | |||||||
\(54\) | 182.772 | − | 352.219i | 0.460594 | − | 0.887611i | ||||
\(55\) | − | 544.297i | − | 1.33442i | ||||||
\(56\) | 40.4407 | − | 148.028i | 0.0965021 | − | 0.353234i | ||||
\(57\) | 287.001 | − | 7.23904i | 0.666916 | − | 0.0168216i | ||||
\(58\) | −612.268 | + | 201.777i | −1.38612 | + | 0.456804i | ||||
\(59\) | −380.315 | − | 138.423i | −0.839201 | − | 0.305444i | −0.113571 | − | 0.993530i | \(-0.536229\pi\) |
−0.725629 | + | 0.688086i | \(0.758451\pi\) | |||||||
\(60\) | 510.649 | − | 397.884i | 1.09874 | − | 0.856110i | ||||
\(61\) | −122.599 | + | 695.294i | −0.257331 | + | 1.45940i | 0.532686 | + | 0.846313i | \(0.321183\pi\) |
−0.790017 | + | 0.613085i | \(0.789928\pi\) | |||||||
\(62\) | 357.986 | + | 142.895i | 0.733295 | + | 0.292704i | ||||
\(63\) | −110.477 | + | 146.023i | −0.220934 | + | 0.292019i | ||||
\(64\) | −503.328 | − | 93.8336i | −0.983063 | − | 0.183269i | ||||
\(65\) | 403.938 | + | 1109.81i | 0.770806 | + | 2.11777i | ||||
\(66\) | 483.657 | − | 173.030i | 0.902032 | − | 0.322705i | ||||
\(67\) | −518.451 | − | 617.866i | −0.945357 | − | 1.12663i | −0.991811 | − | 0.127712i | \(-0.959237\pi\) |
0.0464546 | − | 0.998920i | \(-0.485208\pi\) | |||||||
\(68\) | −204.088 | − | 135.185i | −0.363960 | − | 0.241083i | ||||
\(69\) | 320.985 | + | 363.512i | 0.560031 | + | 0.634228i | ||||
\(70\) | −263.161 | + | 141.342i | −0.449339 | + | 0.241337i | ||||
\(71\) | 526.234 | + | 911.464i | 0.879612 | + | 1.52353i | 0.851767 | + | 0.523921i | \(0.175531\pi\) |
0.0278451 | + | 0.999612i | \(0.491135\pi\) | |||||||
\(72\) | 515.889 | + | 327.271i | 0.844418 | + | 0.535685i | ||||
\(73\) | 335.741 | − | 581.520i | 0.538294 | − | 0.932353i | −0.460702 | − | 0.887555i | \(-0.652402\pi\) |
0.998996 | − | 0.0447982i | \(-0.0142645\pi\) | |||||||
\(74\) | 18.9822 | − | 617.746i | 0.0298193 | − | 0.970426i | ||||
\(75\) | −603.855 | − | 90.8408i | −0.929695 | − | 0.139859i | ||||
\(76\) | −27.1385 | + | 441.174i | −0.0409605 | + | 0.665870i | ||||
\(77\) | −233.429 | + | 41.1598i | −0.345476 | + | 0.0609168i | ||||
\(78\) | −857.757 | + | 711.740i | −1.24515 | + | 1.03319i | ||||
\(79\) | 715.214 | − | 852.358i | 1.01858 | − | 1.21390i | 0.0419165 | − | 0.999121i | \(-0.486654\pi\) |
0.976664 | − | 0.214775i | \(-0.0689019\pi\) | |||||||
\(80\) | 542.242 | + | 836.262i | 0.757806 | + | 1.16871i | ||||
\(81\) | −426.222 | − | 591.418i | −0.584667 | − | 0.811273i | ||||
\(82\) | 26.6157 | + | 183.792i | 0.0358440 | + | 0.247517i | ||||
\(83\) | 539.813 | + | 452.957i | 0.713881 | + | 0.599017i | 0.925685 | − | 0.378295i | \(-0.123489\pi\) |
−0.211804 | + | 0.977312i | \(0.567934\pi\) | |||||||
\(84\) | −209.253 | − | 188.910i | −0.271802 | − | 0.245378i | ||||
\(85\) | 82.7493 | + | 469.294i | 0.105593 | + | 0.598849i | ||||
\(86\) | 63.4107 | − | 304.591i | 0.0795087 | − | 0.381917i | ||||
\(87\) | −176.180 | + | 1171.14i | −0.217109 | + | 1.44321i | ||||
\(88\) | 200.952 | + | 764.901i | 0.243427 | + | 0.926576i | ||||
\(89\) | 731.282 | + | 422.206i | 0.870963 | + | 0.502851i | 0.867668 | − | 0.497144i | \(-0.165618\pi\) |
0.00329517 | + | 0.999995i | \(0.498951\pi\) | |||||||
\(90\) | −229.566 | − | 1166.91i | −0.268871 | − | 1.36670i | ||||
\(91\) | 445.411 | − | 257.158i | 0.513096 | − | 0.296236i | ||||
\(92\) | −600.334 | + | 443.898i | −0.680317 | + | 0.503039i | ||||
\(93\) | 530.802 | − | 468.704i | 0.591845 | − | 0.522606i | ||||
\(94\) | 21.0386 | − | 23.5634i | 0.0230847 | − | 0.0258551i | ||||
\(95\) | 659.124 | − | 553.070i | 0.711839 | − | 0.597303i | ||||
\(96\) | −570.717 | + | 747.675i | −0.606756 | + | 0.794888i | ||||
\(97\) | 930.497 | − | 338.673i | 0.973996 | − | 0.354506i | 0.194493 | − | 0.980904i | \(-0.437694\pi\) |
0.779503 | + | 0.626398i | \(0.215472\pi\) | |||||||
\(98\) | −519.964 | − | 659.809i | −0.535962 | − | 0.680110i | ||||
\(99\) | 116.809 | − | 936.427i | 0.118583 | − | 0.950651i | ||||
\(100\) | 219.795 | − | 914.102i | 0.219795 | − | 0.914102i | ||||
\(101\) | −573.995 | − | 101.211i | −0.565491 | − | 0.0997113i | −0.116408 | − | 0.993201i | \(-0.537138\pi\) |
−0.449083 | + | 0.893490i | \(0.648249\pi\) | |||||||
\(102\) | −390.705 | + | 222.717i | −0.379270 | + | 0.216199i | ||||
\(103\) | −586.536 | + | 1611.50i | −0.561099 | + | 1.54161i | 0.256931 | + | 0.966430i | \(0.417289\pi\) |
−0.818030 | + | 0.575176i | \(0.804934\pi\) | |||||||
\(104\) | −977.391 | − | 1410.49i | −0.921549 | − | 1.32990i | ||||
\(105\) | 13.8374 | + | 548.602i | 0.0128609 | + | 0.509886i | ||||
\(106\) | 872.600 | − | 1409.55i | 0.799569 | − | 1.29158i | ||||
\(107\) | 1431.94 | 1.29375 | 0.646873 | − | 0.762597i | \(-0.276076\pi\) | ||||
0.646873 | + | 0.762597i | \(0.276076\pi\) | |||||||
\(108\) | 963.924 | − | 574.945i | 0.858830 | − | 0.512261i | ||||
\(109\) | 882.024 | 0.775069 | 0.387535 | − | 0.921855i | \(-0.373327\pi\) | ||||
0.387535 | + | 0.921855i | \(0.373327\pi\) | |||||||
\(110\) | 810.339 | − | 1308.98i | 0.702389 | − | 1.13460i | ||||
\(111\) | −997.293 | − | 542.729i | −0.852783 | − | 0.464086i | ||||
\(112\) | 317.637 | − | 295.785i | 0.267981 | − | 0.249546i | ||||
\(113\) | 213.857 | − | 587.567i | 0.178035 | − | 0.489147i | −0.818290 | − | 0.574806i | \(-0.805077\pi\) |
0.996324 | + | 0.0856592i | \(0.0272996\pi\) | |||||||
\(114\) | 700.986 | + | 409.872i | 0.575906 | + | 0.336737i | ||||
\(115\) | 1431.32 | + | 252.380i | 1.16062 | + | 0.204648i | ||||
\(116\) | −1772.84 | − | 426.279i | −1.41900 | − | 0.341199i | ||||
\(117\) | 456.779 | + | 1996.04i | 0.360933 | + | 1.57722i | ||||
\(118\) | −708.538 | − | 899.100i | −0.552764 | − | 0.701431i | ||||
\(119\) | 195.005 | − | 70.9762i | 0.150219 | − | 0.0546754i | ||||
\(120\) | 1820.42 | − | 196.628i | 1.38484 | − | 0.149580i | ||||
\(121\) | −83.8119 | + | 70.3265i | −0.0629691 | + | 0.0528374i | ||||
\(122\) | −1329.98 | + | 1489.59i | −0.986972 | + | 1.10542i | ||||
\(123\) | 323.435 | + | 108.566i | 0.237099 | + | 0.0795858i | ||||
\(124\) | 648.182 | + | 876.610i | 0.469423 | + | 0.634854i | ||||
\(125\) | 100.887 | − | 58.2473i | 0.0721890 | − | 0.0416783i | ||||
\(126\) | −483.083 | + | 186.694i | −0.341559 | + | 0.132000i | ||||
\(127\) | −1599.10 | − | 923.243i | −1.11730 | − | 0.645076i | −0.176592 | − | 0.984284i | \(-0.556507\pi\) |
−0.940711 | + | 0.339209i | \(0.889841\pi\) | |||||||
\(128\) | −1070.76 | − | 975.005i | −0.739393 | − | 0.673274i | ||||
\(129\) | −446.970 | − | 356.239i | −0.305066 | − | 0.243140i | ||||
\(130\) | −680.833 | + | 3270.36i | −0.459331 | + | 2.20638i | ||||
\(131\) | 357.341 | + | 2026.58i | 0.238328 | + | 1.35163i | 0.835489 | + | 0.549506i | \(0.185184\pi\) |
−0.597161 | + | 0.802121i | \(0.703705\pi\) | |||||||
\(132\) | 1420.75 | + | 303.939i | 0.936821 | + | 0.200413i | ||||
\(133\) | −287.034 | − | 240.850i | −0.187136 | − | 0.157025i | ||||
\(134\) | −326.957 | − | 2257.76i | −0.210782 | − | 1.45553i | ||||
\(135\) | −2103.68 | − | 589.947i | −1.34116 | − | 0.376108i | ||||
\(136\) | −289.549 | − | 628.949i | −0.182563 | − | 0.396558i | ||||
\(137\) | 322.995 | − | 384.930i | 0.201426 | − | 0.240050i | −0.655870 | − | 0.754874i | \(-0.727698\pi\) |
0.857296 | + | 0.514824i | \(0.172143\pi\) | |||||||
\(138\) | 230.748 | + | 1352.09i | 0.142337 | + | 0.834038i | ||||
\(139\) | 1208.49 | − | 213.089i | 0.737429 | − | 0.130029i | 0.207696 | − | 0.978193i | \(-0.433403\pi\) |
0.529732 | + | 0.848165i | \(0.322292\pi\) | |||||||
\(140\) | −843.302 | − | 51.8751i | −0.509086 | − | 0.0313161i | ||||
\(141\) | −21.2170 | − | 54.0148i | −0.0126723 | − | 0.0322615i | ||||
\(142\) | −91.4291 | + | 2975.42i | −0.0540321 | + | 1.75839i | ||||
\(143\) | −1325.33 | + | 2295.53i | −0.775031 | + | 1.34239i | ||||
\(144\) | 753.426 | + | 1555.10i | 0.436010 | + | 0.899942i | ||||
\(145\) | 1774.72 | + | 3073.90i | 1.01643 | + | 1.76051i | ||||
\(146\) | 1673.18 | − | 898.653i | 0.948446 | − | 0.509405i | ||||
\(147\) | −1512.61 | + | 306.229i | −0.848695 | + | 0.171819i | ||||
\(148\) | 965.337 | − | 1457.36i | 0.536150 | − | 0.809418i | ||||
\(149\) | −2156.66 | − | 2570.21i | −1.18577 | − | 1.41315i | −0.888818 | − | 0.458261i | \(-0.848473\pi\) |
−0.296957 | − | 0.954891i | \(-0.595972\pi\) | |||||||
\(150\) | −1316.97 | − | 1117.47i | −0.716866 | − | 0.608273i | ||||
\(151\) | −93.1146 | − | 255.830i | −0.0501825 | − | 0.137875i | 0.912069 | − | 0.410036i | \(-0.134484\pi\) |
−0.962252 | + | 0.272161i | \(0.912262\pi\) | |||||||
\(152\) | −722.075 | + | 1020.57i | −0.385316 | + | 0.544602i | ||||
\(153\) | 41.6520 | + | 825.148i | 0.0220089 | + | 0.436008i | ||||
\(154\) | −622.651 | − | 248.539i | −0.325809 | − | 0.130051i | ||||
\(155\) | 368.527 | − | 2090.02i | 0.190973 | − | 1.08306i | ||||
\(156\) | −3122.44 | + | 434.652i | −1.60254 | + | 0.223077i | ||||
\(157\) | −1467.70 | − | 534.198i | −0.746083 | − | 0.271552i | −0.0591266 | − | 0.998250i | \(-0.518832\pi\) |
−0.686957 | + | 0.726698i | \(0.741054\pi\) | |||||||
\(158\) | 2988.99 | − | 985.040i | 1.50501 | − | 0.495985i | ||||
\(159\) | −1588.80 | − | 2598.29i | −0.792453 | − | 1.29596i | ||||
\(160\) | 59.0282 | + | 2818.40i | 0.0291662 | + | 1.39259i | ||||
\(161\) | − | 632.924i | − | 0.309823i | ||||||
\(162\) | −144.530 | − | 2056.85i | −0.0700948 | − | 0.997540i | ||||
\(163\) | − | 1678.84i | − | 0.806728i | −0.915040 | − | 0.403364i | \(-0.867841\pi\) | ||
0.915040 | − | 0.403364i | \(-0.132159\pi\) | |||||||
\(164\) | −209.618 | + | 481.626i | −0.0998072 | + | 0.229321i | ||||
\(165\) | −1475.44 | − | 2412.90i | −0.696137 | − | 1.13845i | ||||
\(166\) | 623.842 | + | 1892.98i | 0.291684 | + | 0.885081i | ||||
\(167\) | −3281.94 | − | 1194.53i | −1.52075 | − | 0.553506i | −0.559411 | − | 0.828891i | \(-0.688973\pi\) |
−0.961334 | + | 0.275385i | \(0.911195\pi\) | |||||||
\(168\) | −221.987 | − | 765.841i | −0.101944 | − | 0.351702i | ||||
\(169\) | 617.231 | − | 3500.49i | 0.280942 | − | 1.59330i | ||||
\(170\) | −499.672 | + | 1251.80i | −0.225430 | + | 0.564757i | ||||
\(171\) | 1252.67 | − | 810.070i | 0.560199 | − | 0.362267i | ||||
\(172\) | 605.965 | − | 638.106i | 0.268630 | − | 0.282879i | ||||
\(173\) | 5.00323 | + | 13.7463i | 0.00219878 | + | 0.00604110i | 0.940787 | − | 0.338998i | \(-0.110088\pi\) |
−0.938588 | + | 0.345039i | \(0.887866\pi\) | |||||||
\(174\) | −2167.26 | + | 2554.18i | −0.944251 | + | 1.11283i | ||||
\(175\) | 512.292 | + | 610.526i | 0.221289 | + | 0.263722i | ||||
\(176\) | −655.499 | + | 2138.68i | −0.280739 | + | 0.915961i | ||||
\(177\) | −2061.19 | + | 417.288i | −0.875301 | + | 0.177205i | ||||
\(178\) | 1130.09 | + | 2104.08i | 0.475863 | + | 0.885997i | ||||
\(179\) | 35.3362 | + | 61.2040i | 0.0147550 | + | 0.0255564i | 0.873309 | − | 0.487167i | \(-0.161970\pi\) |
−0.858554 | + | 0.512724i | \(0.828636\pi\) | |||||||
\(180\) | 1185.18 | − | 3148.07i | 0.490769 | − | 1.30357i | ||||
\(181\) | −1215.52 | + | 2105.34i | −0.499164 | + | 0.864578i | −1.00000 | 0.000964503i | \(-0.999693\pi\) | |
0.500835 | + | 0.865543i | \(0.333026\pi\) | |||||||
\(182\) | 1454.02 | + | 44.6793i | 0.592193 | + | 0.0181970i | ||||
\(183\) | 1341.26 | + | 3414.61i | 0.541796 | + | 1.37932i | ||||
\(184\) | −2104.61 | + | 173.766i | −0.843227 | + | 0.0696206i | ||||
\(185\) | −3351.15 | + | 590.899i | −1.33179 | + | 0.234831i | ||||
\(186\) | 1974.32 | − | 336.939i | 0.778303 | − | 0.132826i | ||||
\(187\) | −687.466 | + | 819.290i | −0.268837 | + | 0.320387i | ||||
\(188\) | 85.6763 | − | 25.3458i | 0.0332371 | − | 0.00983263i | ||||
\(189\) | −93.9260 | + | 946.802i | −0.0361487 | + | 0.364390i | ||||
\(190\) | 2408.53 | − | 348.789i | 0.919646 | − | 0.133178i | ||||
\(191\) | 537.090 | + | 450.672i | 0.203468 | + | 0.170730i | 0.738828 | − | 0.673894i | \(-0.235380\pi\) |
−0.535360 | + | 0.844624i | \(0.679824\pi\) | |||||||
\(192\) | −2485.64 | + | 948.411i | −0.934300 | + | 0.356488i | ||||
\(193\) | −241.240 | − | 1368.14i | −0.0899733 | − | 0.510264i | −0.996172 | − | 0.0874122i | \(-0.972140\pi\) |
0.906199 | − | 0.422852i | \(-0.138971\pi\) | |||||||
\(194\) | 2741.96 | + | 570.830i | 1.01475 | + | 0.211254i | ||||
\(195\) | 4799.07 | + | 3824.90i | 1.76240 | + | 1.40465i | ||||
\(196\) | −268.151 | − | 2360.89i | −0.0977227 | − | 0.860381i | ||||
\(197\) | 1367.09 | + | 789.290i | 0.494422 | + | 0.285455i | 0.726407 | − | 0.687265i | \(-0.241189\pi\) |
−0.231985 | + | 0.972719i | \(0.574522\pi\) | |||||||
\(198\) | 1675.05 | − | 2078.11i | 0.601214 | − | 0.745883i | ||||
\(199\) | −998.953 | + | 576.745i | −0.355849 | + | 0.205449i | −0.667258 | − | 0.744827i | \(-0.732532\pi\) |
0.311410 | + | 0.950276i | \(0.399199\pi\) | |||||||
\(200\) | 1889.48 | − | 1871.10i | 0.668033 | − | 0.661533i | ||||
\(201\) | −3973.19 | − | 1333.66i | −1.39426 | − | 0.468006i | ||||
\(202\) | −1229.72 | − | 1097.95i | −0.428330 | − | 0.382434i | ||||
\(203\) | 1184.08 | − | 993.558i | 0.409389 | − | 0.343518i | ||||
\(204\) | −1271.18 | − | 46.0613i | −0.436277 | − | 0.0158085i | ||||
\(205\) | 960.832 | − | 349.714i | 0.327353 | − | 0.119147i | ||||
\(206\) | −3809.72 | + | 3002.26i | −1.28852 | + | 1.01542i | ||||
\(207\) | 2408.33 | + | 741.370i | 0.808649 | + | 0.248931i | ||||
\(208\) | −250.625 | − | 4847.19i | −0.0835468 | − | 1.61583i | ||||
\(209\) | 1901.75 | + | 335.330i | 0.629411 | + | 0.110982i | ||||
\(210\) | −783.469 | + | 1339.93i | −0.257450 | + | 0.440305i | ||||
\(211\) | 254.847 | − | 700.186i | 0.0831487 | − | 0.228449i | −0.891150 | − | 0.453709i | \(-0.850101\pi\) |
0.974299 | + | 0.225259i | \(0.0723229\pi\) | |||||||
\(212\) | 4197.03 | − | 2090.72i | 1.35968 | − | 0.677319i | ||||
\(213\) | 4803.55 | + | 2614.10i | 1.54523 | + | 0.840917i | ||||
\(214\) | 3443.67 | + | 2131.84i | 1.10002 | + | 0.680980i | ||||
\(215\) | −1713.00 | −0.543376 | ||||||||
\(216\) | 3174.11 | + | 52.3845i | 0.999864 | + | 0.0165015i | ||||
\(217\) | −924.199 | −0.289118 | ||||||||
\(218\) | 2121.18 | + | 1313.14i | 0.659010 | + | 0.407968i | ||||
\(219\) | −87.9782 | − | 3488.01i | −0.0271462 | − | 1.07625i | ||||
\(220\) | 3897.56 | − | 1941.55i | 1.19443 | − | 0.594996i | ||||
\(221\) | 793.711 | − | 2180.70i | 0.241587 | − | 0.663756i | ||||
\(222\) | −1590.39 | − | 2789.96i | −0.480809 | − | 0.843467i | ||||
\(223\) | 3008.22 | + | 530.430i | 0.903341 | + | 0.159283i | 0.605978 | − | 0.795481i | \(-0.292782\pi\) |
0.297363 | + | 0.954765i | \(0.403893\pi\) | |||||||
\(224\) | 1204.24 | − | 238.443i | 0.359205 | − | 0.0711233i | ||||
\(225\) | −2923.17 | + | 1234.18i | −0.866123 | + | 0.365682i | ||||
\(226\) | 1389.06 | − | 1094.65i | 0.408845 | − | 0.322191i | ||||
\(227\) | 3778.36 | − | 1375.21i | 1.10475 | − | 0.402097i | 0.275687 | − | 0.961248i | \(-0.411095\pi\) |
0.829066 | + | 0.559150i | \(0.188873\pi\) | |||||||
\(228\) | 1075.59 | + | 2029.31i | 0.312424 | + | 0.589450i | ||||
\(229\) | −644.605 | + | 540.888i | −0.186012 | + | 0.156082i | −0.731038 | − | 0.682336i | \(-0.760964\pi\) |
0.545027 | + | 0.838419i | \(0.316520\pi\) | |||||||
\(230\) | 3066.44 | + | 2737.87i | 0.879109 | + | 0.784911i | ||||
\(231\) | −923.231 | + | 815.224i | −0.262962 | + | 0.232198i | ||||
\(232\) | −3628.88 | − | 3664.53i | −1.02693 | − | 1.03702i | ||||
\(233\) | −417.335 | + | 240.949i | −0.117341 | + | 0.0677471i | −0.557522 | − | 0.830162i | \(-0.688248\pi\) |
0.440181 | + | 0.897909i | \(0.354914\pi\) | |||||||
\(234\) | −1873.16 | + | 5480.32i | −0.523301 | + | 1.53103i | ||||
\(235\) | −150.623 | − | 86.9625i | −0.0418110 | − | 0.0241396i | ||||
\(236\) | −365.401 | − | 3217.10i | −0.100786 | − | 0.887353i | ||||
\(237\) | 860.081 | − | 5717.30i | 0.235731 | − | 1.56700i | ||||
\(238\) | 574.636 | + | 119.629i | 0.156505 | + | 0.0325816i | ||||
\(239\) | −424.347 | − | 2406.59i | −0.114848 | − | 0.651336i | −0.986825 | − | 0.161789i | \(-0.948273\pi\) |
0.871977 | − | 0.489546i | \(-0.162838\pi\) | |||||||
\(240\) | 4670.66 | + | 2237.33i | 1.25621 | + | 0.601746i | ||||
\(241\) | −85.1216 | − | 71.4255i | −0.0227517 | − | 0.0190910i | 0.631341 | − | 0.775505i | \(-0.282505\pi\) |
−0.654093 | + | 0.756414i | \(0.726949\pi\) | |||||||
\(242\) | −306.260 | + | 44.3508i | −0.0813517 | + | 0.0117809i | ||||
\(243\) | −3492.64 | − | 1466.42i | −0.922028 | − | 0.387124i | ||||
\(244\) | −5416.13 | + | 1602.27i | −1.42103 | + | 0.420388i | ||||
\(245\) | −2973.10 | + | 3543.20i | −0.775283 | + | 0.923946i | ||||
\(246\) | 616.197 | + | 742.613i | 0.159704 | + | 0.192469i | ||||
\(247\) | −4126.49 | + | 727.612i | −1.06301 | + | 0.187437i | ||||
\(248\) | 253.734 | + | 3073.16i | 0.0649682 | + | 0.786878i | ||||
\(249\) | 3620.86 | + | 544.704i | 0.921537 | + | 0.138631i | ||||
\(250\) | 329.341 | + | 10.1200i | 0.0833174 | + | 0.00256018i | ||||
\(251\) | 1365.63 | − | 2365.35i | 0.343419 | − | 0.594818i | −0.641647 | − | 0.767000i | \(-0.721748\pi\) |
0.985065 | + | 0.172182i | \(0.0550817\pi\) | |||||||
\(252\) | −1439.71 | − | 270.224i | −0.359894 | − | 0.0675496i | ||||
\(253\) | 1630.97 | + | 2824.91i | 0.405288 | + | 0.701980i | ||||
\(254\) | −2471.18 | − | 4601.02i | −0.610455 | − | 1.13659i | ||||
\(255\) | 1638.96 | + | 1856.10i | 0.402492 | + | 0.455818i | ||||
\(256\) | −1123.49 | − | 3938.91i | −0.274290 | − | 0.961647i | ||||
\(257\) | 1602.85 | + | 1910.20i | 0.389039 | + | 0.463638i | 0.924645 | − | 0.380829i | \(-0.124361\pi\) |
−0.535607 | + | 0.844468i | \(0.679917\pi\) | |||||||
\(258\) | −544.557 | − | 1522.16i | −0.131406 | − | 0.367308i | ||||
\(259\) | 506.829 | + | 1392.50i | 0.121594 | + | 0.334077i | ||||
\(260\) | −6506.18 | + | 6851.27i | −1.55191 | + | 1.63422i | ||||
\(261\) | 2393.61 | + | 5669.30i | 0.567666 | + | 1.34452i | ||||
\(262\) | −2157.76 | + | 5405.72i | −0.508806 | + | 1.27468i | ||||
\(263\) | −230.354 | + | 1306.40i | −0.0540085 | + | 0.306297i | −0.999831 | − | 0.0183870i | \(-0.994147\pi\) |
0.945822 | + | 0.324684i | \(0.105258\pi\) | |||||||
\(264\) | 2964.26 | + | 2846.13i | 0.691052 | + | 0.663511i | ||||
\(265\) | −8577.17 | − | 3121.83i | −1.98827 | − | 0.723671i | ||||
\(266\) | −331.715 | − | 1006.55i | −0.0764615 | − | 0.232014i | ||||
\(267\) | 4386.30 | − | 110.636i | 1.00538 | − | 0.0253588i | ||||
\(268\) | 2575.02 | − | 5916.46i | 0.586918 | − | 1.34853i | ||||
\(269\) | − | 2225.09i | − | 0.504335i | −0.967684 | − | 0.252167i | \(-0.918857\pi\) | ||
0.967684 | − | 0.252167i | \(-0.0811434\pi\) | |||||||
\(270\) | −4180.84 | − | 4550.68i | −0.942362 | − | 1.02572i | ||||
\(271\) | 5006.76i | 1.12228i | 0.827719 | + | 0.561142i | \(0.189638\pi\) | ||||
−0.827719 | + | 0.561142i | \(0.810362\pi\) | |||||||
\(272\) | 240.030 | − | 1943.63i | 0.0535073 | − | 0.433272i | ||||
\(273\) | 1277.45 | − | 2347.38i | 0.283204 | − | 0.520403i | ||||
\(274\) | 1349.85 | − | 444.850i | 0.297617 | − | 0.0980817i | ||||
\(275\) | −3859.75 | − | 1404.83i | −0.846369 | − | 0.308053i | ||||
\(276\) | −1458.03 | + | 3595.16i | −0.317983 | + | 0.784070i | ||||
\(277\) | 1060.40 | − | 6013.83i | 0.230012 | − | 1.30446i | −0.622856 | − | 0.782337i | \(-0.714028\pi\) |
0.852868 | − | 0.522127i | \(-0.174861\pi\) | |||||||
\(278\) | 3223.53 | + | 1286.71i | 0.695448 | + | 0.277597i | ||||
\(279\) | 1082.55 | − | 3516.65i | 0.232296 | − | 0.754610i | ||||
\(280\) | −1950.83 | − | 1380.25i | −0.416372 | − | 0.294591i | ||||
\(281\) | 1718.46 | + | 4721.44i | 0.364822 | + | 1.00234i | 0.977301 | + | 0.211853i | \(0.0679499\pi\) |
−0.612480 | + | 0.790486i | \(0.709828\pi\) | |||||||
\(282\) | 29.3914 | − | 161.487i | 0.00620650 | − | 0.0341009i | ||||
\(283\) | −2871.35 | − | 3421.94i | −0.603124 | − | 0.718775i | 0.374947 | − | 0.927046i | \(-0.377661\pi\) |
−0.978071 | + | 0.208271i | \(0.933216\pi\) | |||||||
\(284\) | −4649.63 | + | 7019.47i | −0.971495 | + | 1.46665i | ||||
\(285\) | 1422.72 | − | 4238.49i | 0.295700 | − | 0.880935i | ||||
\(286\) | −6604.82 | + | 3547.41i | −1.36556 | + | 0.733436i | ||||
\(287\) | −222.637 | − | 385.619i | −0.0457905 | − | 0.0793115i | ||||
\(288\) | −503.287 | + | 4861.54i | −0.102974 | + | 0.994684i | ||||
\(289\) | −1988.32 | + | 3443.87i | −0.404706 | + | 0.700972i | ||||
\(290\) | −308.343 | + | 10034.6i | −0.0624364 | + | 2.03190i | ||||
\(291\) | 3206.90 | − | 4023.67i | 0.646020 | − | 0.810556i | ||||
\(292\) | 5361.72 | + | 329.822i | 1.07456 | + | 0.0661006i | ||||
\(293\) | 3564.63 | − | 628.540i | 0.710743 | − | 0.125323i | 0.193423 | − | 0.981115i | \(-0.438041\pi\) |
0.517320 | + | 0.855792i | \(0.326930\pi\) | |||||||
\(294\) | −4093.59 | − | 1515.50i | −0.812051 | − | 0.300631i | ||||
\(295\) | −4051.34 | + | 4828.20i | −0.799587 | + | 0.952911i | ||||
\(296\) | 4491.22 | − | 2067.62i | 0.881915 | − | 0.406006i | ||||
\(297\) | −2020.57 | − | 4467.87i | −0.394766 | − | 0.872903i | ||||
\(298\) | −1360.08 | − | 9391.88i | −0.264387 | − | 1.82569i | ||||
\(299\) | −5421.95 | − | 4549.56i | −1.04869 | − | 0.879959i | ||||
\(300\) | −1503.51 | − | 4648.07i | −0.289350 | − | 0.894522i | ||||
\(301\) | 129.537 | + | 734.644i | 0.0248054 | + | 0.140678i | ||||
\(302\) | 156.944 | − | 753.873i | 0.0299043 | − | 0.143644i | ||||
\(303\) | −2818.91 | + | 1107.26i | −0.534462 | + | 0.209936i | ||||
\(304\) | −3255.93 | + | 1379.37i | −0.614277 | + | 0.260237i | ||||
\(305\) | 9521.84 | + | 5497.44i | 1.78760 | + | 1.03207i | ||||
\(306\) | −1128.29 | + | 2046.41i | −0.210785 | + | 0.382305i | ||||
\(307\) | −5177.24 | + | 2989.08i | −0.962478 | + | 0.555687i | −0.896935 | − | 0.442163i | \(-0.854211\pi\) |
−0.0655429 | + | 0.997850i | \(0.520878\pi\) | |||||||
\(308\) | −1127.39 | − | 1524.70i | −0.208569 | − | 0.282071i | ||||
\(309\) | 1768.16 | + | 8733.79i | 0.325524 | + | 1.60792i | ||||
\(310\) | 3997.84 | − | 4477.63i | 0.732459 | − | 0.820361i | ||||
\(311\) | 746.895 | − | 626.719i | 0.136182 | − | 0.114270i | −0.572152 | − | 0.820147i | \(-0.693891\pi\) |
0.708334 | + | 0.705877i | \(0.249447\pi\) | |||||||
\(312\) | −8156.26 | − | 3603.33i | −1.47999 | − | 0.653842i | ||||
\(313\) | 3367.07 | − | 1225.51i | 0.608044 | − | 0.221310i | −0.0196031 | − | 0.999808i | \(-0.506240\pi\) |
0.627647 | + | 0.778498i | \(0.284018\pi\) | |||||||
\(314\) | −2734.36 | − | 3469.77i | −0.491430 | − | 0.623600i | ||||
\(315\) | 1548.45 | + | 2394.47i | 0.276968 | + | 0.428296i | ||||
\(316\) | 8654.72 | + | 2081.02i | 1.54072 | + | 0.370464i | ||||
\(317\) | −904.759 | − | 159.533i | −0.160304 | − | 0.0282659i | 0.0929202 | − | 0.995674i | \(-0.470380\pi\) |
−0.253224 | + | 0.967408i | \(0.581491\pi\) | |||||||
\(318\) | 47.3839 | − | 8614.00i | 0.00835583 | − | 1.51902i | ||||
\(319\) | −2724.59 | + | 7485.74i | −0.478205 | + | 1.31386i | ||||
\(320\) | −4054.02 | + | 6865.85i | −0.708208 | + | 1.19942i | ||||
\(321\) | 6347.88 | − | 3881.59i | 1.10375 | − | 0.674919i | ||||
\(322\) | 942.285 | − | 1522.12i | 0.163079 | − | 0.263430i | ||||
\(323\) | −1690.68 | −0.291244 | ||||||||
\(324\) | 2714.62 | − | 5161.69i | 0.465469 | − | 0.885064i | ||||
\(325\) | 8912.51 | 1.52116 | ||||||||
\(326\) | 2499.42 | − | 4037.43i | 0.424631 | − | 0.685928i | ||||
\(327\) | 3910.06 | − | 2390.92i | 0.661244 | − | 0.404336i | ||||
\(328\) | −1221.14 | + | 846.187i | −0.205568 | + | 0.142448i | ||||
\(329\) | −25.9048 | + | 71.1729i | −0.00434097 | + | 0.0119267i | ||||
\(330\) | 44.0030 | − | 7999.38i | 0.00734025 | − | 1.33440i | ||||
\(331\) | 4057.13 | + | 715.382i | 0.673716 | + | 0.118794i | 0.500032 | − | 0.866007i | \(-0.333322\pi\) |
0.173684 | + | 0.984801i | \(0.444433\pi\) | |||||||
\(332\) | −1317.95 | + | 5481.18i | −0.217867 | + | 0.906081i | ||||
\(333\) | −5892.25 | + | 297.430i | −0.969649 | + | 0.0489461i | ||||
\(334\) | −6114.35 | − | 7758.81i | −1.00168 | − | 1.27109i | ||||
\(335\) | −11803.2 | + | 4296.01i | −1.92501 | + | 0.700645i | ||||
\(336\) | 606.313 | − | 2172.26i | 0.0984436 | − | 0.352698i | ||||
\(337\) | −8820.54 | + | 7401.32i | −1.42577 | + | 1.19637i | −0.477615 | + | 0.878569i | \(0.658498\pi\) |
−0.948159 | + | 0.317797i | \(0.897057\pi\) | |||||||
\(338\) | 6695.83 | − | 7499.40i | 1.07753 | − | 1.20684i | ||||
\(339\) | −644.688 | − | 3184.42i | −0.103288 | − | 0.510189i | ||||
\(340\) | −3065.32 | + | 2266.55i | −0.488941 | + | 0.361533i | ||||
\(341\) | 4124.95 | − | 2381.54i | 0.655069 | − | 0.378204i | ||||
\(342\) | 4218.56 | − | 83.1879i | 0.666998 | − | 0.0131529i | ||||
\(343\) | 3758.86 | + | 2170.18i | 0.591718 | + | 0.341629i | ||||
\(344\) | 2407.28 | − | 632.432i | 0.377302 | − | 0.0991235i | ||||
\(345\) | 7029.25 | − | 2761.09i | 1.09693 | − | 0.430875i | ||||
\(346\) | −8.43289 | + | 40.5071i | −0.00131028 | + | 0.00629386i | ||||
\(347\) | 604.503 | + | 3428.31i | 0.0935200 | + | 0.530378i | 0.995191 | + | 0.0979552i | \(0.0312302\pi\) |
−0.901671 | + | 0.432423i | \(0.857659\pi\) | |||||||
\(348\) | −9014.65 | + | 2915.96i | −1.38861 | + | 0.449172i | ||||
\(349\) | 3350.03 | + | 2811.01i | 0.513820 | + | 0.431146i | 0.862471 | − | 0.506107i | \(-0.168916\pi\) |
−0.348651 | + | 0.937253i | \(0.613360\pi\) | |||||||
\(350\) | 323.072 | + | 2230.94i | 0.0493398 | + | 0.340711i | ||||
\(351\) | 7435.64 | + | 7610.38i | 1.13073 | + | 1.15730i | ||||
\(352\) | −4760.43 | + | 4167.42i | −0.720829 | + | 0.631034i | ||||
\(353\) | −5842.05 | + | 6962.29i | −0.880853 | + | 1.04976i | 0.117539 | + | 0.993068i | \(0.462500\pi\) |
−0.998392 | + | 0.0566914i | \(0.981945\pi\) | |||||||
\(354\) | −5578.20 | − | 2065.12i | −0.837508 | − | 0.310056i | ||||
\(355\) | 16141.1 | − | 2846.11i | 2.41319 | − | 0.425510i | ||||
\(356\) | −414.763 | + | 6742.55i | −0.0617483 | + | 1.00380i | ||||
\(357\) | 672.074 | − | 843.246i | 0.0996356 | − | 0.125012i | ||||
\(358\) | −6.13939 | + | 199.797i | −0.000906360 | + | 0.0294961i | ||||
\(359\) | −370.159 | + | 641.134i | −0.0544185 | + | 0.0942555i | −0.891951 | − | 0.452131i | \(-0.850664\pi\) |
0.837533 | + | 0.546387i | \(0.183997\pi\) | |||||||
\(360\) | 7537.02 | − | 5806.31i | 1.10343 | − | 0.850053i | ||||
\(361\) | −1903.17 | − | 3296.38i | −0.277470 | − | 0.480592i | ||||
\(362\) | −6057.58 | + | 3253.49i | −0.879501 | + | 0.472375i | ||||
\(363\) | −180.908 | + | 538.952i | −0.0261575 | + | 0.0779274i | ||||
\(364\) | 3430.25 | + | 2272.16i | 0.493940 | + | 0.327181i | ||||
\(365\) | −6721.64 | − | 8010.53i | −0.963908 | − | 1.14874i | ||||
\(366\) | −1858.01 | + | 10208.6i | −0.265355 | + | 1.45796i | ||||
\(367\) | −3325.12 | − | 9135.68i | −0.472942 | − | 1.29940i | −0.915377 | − | 0.402597i | \(-0.868108\pi\) |
0.442436 | − | 0.896800i | \(-0.354115\pi\) | |||||||
\(368\) | −5320.07 | − | 2715.41i | −0.753608 | − | 0.384648i | ||||
\(369\) | 1728.10 | − | 395.461i | 0.243797 | − | 0.0557910i | ||||
\(370\) | −8938.91 | − | 3568.08i | −1.25598 | − | 0.501339i | ||||
\(371\) | −690.232 | + | 3914.50i | −0.0965905 | + | 0.547792i | ||||
\(372\) | 5249.67 | + | 2129.02i | 0.731674 | + | 0.296733i | ||||
\(373\) | −3734.10 | − | 1359.10i | −0.518350 | − | 0.188664i | 0.0695792 | − | 0.997576i | \(-0.477834\pi\) |
−0.587929 | + | 0.808913i | \(0.700057\pi\) | |||||||
\(374\) | −2873.03 | + | 946.824i | −0.397221 | + | 0.130907i | ||||
\(375\) | 289.347 | − | 531.690i | 0.0398448 | − | 0.0732170i | ||||
\(376\) | 243.777 | + | 66.5989i | 0.0334357 | + | 0.00913451i | ||||
\(377\) | − | 17285.3i | − | 2.36137i | ||||||
\(378\) | −1635.46 | + | 2137.13i | −0.222537 | + | 0.290799i | ||||
\(379\) | 1174.64i | 0.159201i | 0.996827 | + | 0.0796005i | \(0.0253645\pi\) | ||||
−0.996827 | + | 0.0796005i | \(0.974636\pi\) | |||||||
\(380\) | 6311.53 | + | 2746.96i | 0.852038 | + | 0.370832i | ||||
\(381\) | −9591.57 | + | 241.929i | −1.28974 | + | 0.0325312i | ||||
\(382\) | 620.696 | + | 1883.43i | 0.0831350 | + | 0.252263i | ||||
\(383\) | 9864.85 | + | 3590.51i | 1.31611 | + | 0.479025i | 0.902210 | − | 0.431297i | \(-0.141944\pi\) |
0.413900 | + | 0.910322i | \(0.364166\pi\) | |||||||
\(384\) | −7389.69 | − | 1419.74i | −0.982040 | − | 0.188674i | ||||
\(385\) | −640.983 | + | 3635.20i | −0.0848507 | + | 0.481212i | ||||
\(386\) | 1456.70 | − | 3649.39i | 0.192083 | − | 0.481216i | ||||
\(387\) | −2947.11 | − | 367.618i | −0.387106 | − | 0.0482870i | ||||
\(388\) | 5744.30 | + | 5454.96i | 0.751604 | + | 0.713747i | ||||
\(389\) | 1061.48 | + | 2916.40i | 0.138353 | + | 0.380122i | 0.989448 | − | 0.144890i | \(-0.0462830\pi\) |
−0.851095 | + | 0.525012i | \(0.824061\pi\) | |||||||
\(390\) | 5846.85 | + | 16343.2i | 0.759145 | + | 2.12198i | ||||
\(391\) | −1835.69 | − | 2187.69i | −0.237430 | − | 0.282958i | ||||
\(392\) | 2869.96 | − | 6076.91i | 0.369783 | − | 0.782985i | ||||
\(393\) | 7077.60 | + | 8015.30i | 0.908442 | + | 1.02880i | ||||
\(394\) | 2112.63 | + | 3933.46i | 0.270134 | + | 0.502956i | ||||
\(395\) | −8663.86 | − | 15006.3i | −1.10361 | − | 1.91151i | ||||
\(396\) | 7122.16 | − | 2503.87i | 0.903793 | − | 0.317738i | ||||
\(397\) | 2861.86 | − | 4956.88i | 0.361795 | − | 0.626647i | −0.626462 | − | 0.779452i | \(-0.715498\pi\) |
0.988256 | + | 0.152806i | \(0.0488308\pi\) | |||||||
\(398\) | −3261.03 | − | 100.205i | −0.410705 | − | 0.0126202i | ||||
\(399\) | −1925.32 | − | 289.635i | −0.241570 | − | 0.0363405i | ||||
\(400\) | 7329.66 | − | 1686.78i | 0.916208 | − | 0.210847i | ||||
\(401\) | −9152.93 | + | 1613.91i | −1.13984 | + | 0.200985i | −0.711536 | − | 0.702650i | \(-0.752000\pi\) |
−0.428304 | + | 0.903635i | \(0.640889\pi\) | |||||||
\(402\) | −7569.58 | − | 9122.52i | −0.939145 | − | 1.13182i | ||||
\(403\) | −6643.28 | + | 7917.16i | −0.821155 | + | 0.978615i | ||||
\(404\) | −1322.74 | − | 4471.24i | −0.162893 | − | 0.550625i | ||||
\(405\) | −10924.9 | + | 3087.21i | −1.34040 | + | 0.378777i | ||||
\(406\) | 4326.77 | − | 626.578i | 0.528902 | − | 0.0765925i | ||||
\(407\) | −5850.42 | − | 4909.08i | −0.712517 | − | 0.597873i | ||||
\(408\) | −2988.49 | − | 2003.28i | −0.362628 | − | 0.243081i | ||||
\(409\) | 804.334 | + | 4561.60i | 0.0972414 | + | 0.551484i | 0.994037 | + | 0.109039i | \(0.0347775\pi\) |
−0.896796 | + | 0.442444i | \(0.854111\pi\) | |||||||
\(410\) | 2831.35 | + | 589.439i | 0.341050 | + | 0.0710008i | ||||
\(411\) | 388.418 | − | 2581.97i | 0.0466161 | − | 0.309876i | ||||
\(412\) | −13631.7 | + | 1548.30i | −1.63006 | + | 0.185144i | ||||
\(413\) | 2377.00 | + | 1372.36i | 0.283207 | + | 0.163510i | ||||
\(414\) | 4688.04 | + | 5368.39i | 0.556533 | + | 0.637299i | ||||
\(415\) | 9503.71 | − | 5486.97i | 1.12414 | − | 0.649023i | ||||
\(416\) | 6613.67 | − | 12030.1i | 0.779476 | − | 1.41785i | ||||
\(417\) | 4779.67 | − | 4220.51i | 0.561299 | − | 0.495633i | ||||
\(418\) | 4074.29 | + | 3637.73i | 0.476747 | + | 0.425663i | ||||
\(419\) | 697.466 | − | 585.244i | 0.0813209 | − | 0.0682364i | −0.601221 | − | 0.799083i | \(-0.705319\pi\) |
0.682542 | + | 0.730846i | \(0.260874\pi\) | |||||||
\(420\) | −3879.03 | + | 2055.99i | −0.450660 | + | 0.238862i | ||||
\(421\) | 2322.92 | − | 845.472i | 0.268912 | − | 0.0978760i | −0.204045 | − | 0.978962i | \(-0.565409\pi\) |
0.472957 | + | 0.881086i | \(0.343187\pi\) | |||||||
\(422\) | 1655.30 | − | 1304.47i | 0.190945 | − | 0.150475i | ||||
\(423\) | −240.475 | − | 181.938i | −0.0276414 | − | 0.0209128i | ||||
\(424\) | 13206.1 | + | 1220.46i | 1.51260 | + | 0.139790i | ||||
\(425\) | 3541.46 | + | 624.454i | 0.404202 | + | 0.0712717i | ||||
\(426\) | 7660.22 | + | 13438.1i | 0.871218 | + | 1.52835i | ||||
\(427\) | 1637.60 | − | 4499.28i | 0.185595 | − | 0.509919i | ||||
\(428\) | 5107.84 | + | 10253.7i | 0.576861 | + | 1.15802i | ||||
\(429\) | 347.292 | + | 13768.8i | 0.0390848 | + | 1.54957i | ||||
\(430\) | −4119.60 | − | 2550.29i | −0.462011 | − | 0.286013i | ||||
\(431\) | 15152.0 | 1.69338 | 0.846688 | − | 0.532089i | \(-0.178593\pi\) | ||||
0.846688 | + | 0.532089i | \(0.178593\pi\) | |||||||
\(432\) | 7555.42 | + | 4851.52i | 0.841459 | + | 0.540322i | ||||
\(433\) | −3286.95 | −0.364806 | −0.182403 | − | 0.983224i | \(-0.558388\pi\) | ||||
−0.182403 | + | 0.983224i | \(0.558388\pi\) | |||||||
\(434\) | −2222.60 | − | 1375.93i | −0.245826 | − | 0.152181i | ||||
\(435\) | 16199.9 | + | 8816.02i | 1.78558 | + | 0.971715i | ||||
\(436\) | 3146.24 | + | 6315.93i | 0.345591 | + | 0.693757i | ||||
\(437\) | −1763.61 | + | 4845.48i | −0.193055 | + | 0.530414i | ||||
\(438\) | 4981.30 | − | 8519.29i | 0.543415 | − | 0.929378i | ||||
\(439\) | −8916.39 | − | 1572.20i | −0.969376 | − | 0.170927i | −0.333527 | − | 0.942741i | \(-0.608239\pi\) |
−0.635849 | + | 0.771813i | \(0.719350\pi\) | |||||||
\(440\) | 12263.8 | + | 1133.38i | 1.32876 | + | 0.122800i | ||||
\(441\) | −5875.40 | + | 5457.80i | −0.634424 | + | 0.589332i | ||||
\(442\) | 5155.38 | − | 4062.71i | 0.554788 | − | 0.437202i | ||||
\(443\) | 7945.25 | − | 2891.84i | 0.852123 | − | 0.310147i | 0.121217 | − | 0.992626i | \(-0.461320\pi\) |
0.730906 | + | 0.682479i | \(0.239098\pi\) | |||||||
\(444\) | 328.916 | − | 9077.30i | 0.0351569 | − | 0.970247i | ||||
\(445\) | 10073.5 | − | 8452.69i | 1.07310 | − | 0.900441i | ||||
\(446\) | 6444.76 | + | 5754.20i | 0.684234 | + | 0.610918i | ||||
\(447\) | −16527.7 | − | 5547.78i | −1.74884 | − | 0.587027i | ||||
\(448\) | 3251.07 | + | 1219.42i | 0.342854 | + | 0.128599i | ||||
\(449\) | −3353.90 | + | 1936.38i | −0.352518 | + | 0.203526i | −0.665794 | − | 0.746136i | \(-0.731907\pi\) |
0.313276 | + | 0.949662i | \(0.398574\pi\) | |||||||
\(450\) | −8867.33 | − | 1383.88i | −0.928911 | − | 0.144970i | ||||
\(451\) | 1987.38 | + | 1147.42i | 0.207499 | + | 0.119800i | ||||
\(452\) | 4970.25 | − | 564.524i | 0.517214 | − | 0.0587456i | ||||
\(453\) | −1106.27 | − | 881.703i | −0.114739 | − | 0.0914482i | ||||
\(454\) | 11134.0 | + | 2317.90i | 1.15098 | + | 0.239614i | ||||
\(455\) | −1390.83 | − | 7887.78i | −0.143303 | − | 0.812714i | ||||
\(456\) | −434.512 | + | 6481.61i | −0.0446226 | + | 0.665634i | ||||
\(457\) | −11470.9 | − | 9625.24i | −1.17415 | − | 0.985230i | −1.00000 | 0.000510762i | \(-0.999837\pi\) | |
−0.174151 | − | 0.984719i | \(-0.555718\pi\) | |||||||
\(458\) | −2355.47 | + | 341.106i | −0.240314 | + | 0.0348010i | ||||
\(459\) | 2421.39 | + | 3545.02i | 0.246233 | + | 0.360496i | ||||
\(460\) | 3298.40 | + | 11149.5i | 0.334323 | + | 1.13011i | ||||
\(461\) | −2186.52 | + | 2605.79i | −0.220903 | + | 0.263262i | −0.865102 | − | 0.501596i | \(-0.832746\pi\) |
0.644199 | + | 0.764858i | \(0.277191\pi\) | |||||||
\(462\) | −3433.97 | + | 586.043i | −0.345806 | + | 0.0590155i | ||||
\(463\) | −7252.05 | + | 1278.73i | −0.727929 | + | 0.128354i | −0.525318 | − | 0.850906i | \(-0.676054\pi\) |
−0.202611 | + | 0.979259i | \(0.564943\pi\) | |||||||
\(464\) | −3271.40 | − | 14215.4i | −0.327308 | − | 1.42227i | ||||
\(465\) | −4031.75 | − | 10264.1i | −0.402081 | − | 1.02363i | ||||
\(466\) | −1362.37 | − | 41.8630i | −0.135430 | − | 0.00416151i | ||||
\(467\) | −3784.73 | + | 6555.35i | −0.375025 | + | 0.649562i | −0.990331 | − | 0.138726i | \(-0.955699\pi\) |
0.615306 | + | 0.788288i | \(0.289032\pi\) | |||||||
\(468\) | −12663.8 | + | 10390.9i | −1.25082 | + | 1.02632i | ||||
\(469\) | 2734.96 | + | 4737.08i | 0.269272 | + | 0.466393i | ||||
\(470\) | −232.766 | − | 433.381i | −0.0228440 | − | 0.0425327i | ||||
\(471\) | −7954.45 | + | 1610.38i | −0.778178 | + | 0.157542i | ||||
\(472\) | 3910.80 | − | 8280.80i | 0.381375 | − | 0.807531i | ||||
\(473\) | −2471.24 | − | 2945.11i | −0.240228 | − | 0.286293i | ||||
\(474\) | 10580.2 | − | 12469.0i | 1.02524 | − | 1.20828i | ||||
\(475\) | −2220.76 | − | 6101.48i | −0.214517 | − | 0.589379i | ||||
\(476\) | 1203.84 | + | 1143.20i | 0.115920 | + | 0.110081i | ||||
\(477\) | −14086.5 | − | 7211.60i | −1.35215 | − | 0.692236i | ||||
\(478\) | 2562.37 | − | 6419.36i | 0.245188 | − | 0.614257i | ||||
\(479\) | −223.446 | + | 1267.23i | −0.0213142 | + | 0.120879i | −0.993608 | − | 0.112881i | \(-0.963992\pi\) |
0.972294 | + | 0.233760i | \(0.0751031\pi\) | |||||||
\(480\) | 7901.57 | + | 12334.1i | 0.751366 | + | 1.17286i | ||||
\(481\) | 15572.0 | + | 5667.76i | 1.47614 | + | 0.537272i | ||||
\(482\) | −98.3720 | − | 298.498i | −0.00929610 | − | 0.0282079i | ||||
\(483\) | −1715.68 | − | 2805.79i | −0.161628 | − | 0.264323i | ||||
\(484\) | −802.552 | − | 349.294i | −0.0753712 | − | 0.0328037i | ||||
\(485\) | − | 15420.6i | − | 1.44374i | ||||||
\(486\) | −6216.25 | − | 8726.36i | −0.580196 | − | 0.814477i | ||||
\(487\) | 4515.57i | 0.420164i | 0.977684 | + | 0.210082i | \(0.0673731\pi\) | ||||
−0.977684 | + | 0.210082i | \(0.932627\pi\) | |||||||
\(488\) | −15410.7 | − | 4210.13i | −1.42952 | − | 0.390540i | ||||
\(489\) | −4550.85 | − | 7442.38i | −0.420852 | − | 0.688254i | ||||
\(490\) | −12425.0 | + | 4094.75i | −1.14552 | + | 0.377514i | ||||
\(491\) | 20410.1 | + | 7428.65i | 1.87595 | + | 0.682791i | 0.958638 | + | 0.284628i | \(0.0918700\pi\) |
0.917315 | + | 0.398163i | \(0.130352\pi\) | |||||||
\(492\) | 376.305 | + | 2703.29i | 0.0344820 | + | 0.247711i | ||||
\(493\) | 1211.09 | − | 6868.44i | 0.110639 | − | 0.627462i | ||||
\(494\) | −11007.1 | − | 4393.60i | −1.00249 | − | 0.400157i | ||||
\(495\) | −13081.4 | − | 6697.05i | −1.18781 | − | 0.608101i | ||||
\(496\) | −3965.05 | + | 7768.39i | −0.358944 | + | 0.703248i | ||||
\(497\) | −2441.18 | − | 6707.10i | −0.220326 | − | 0.605341i | ||||
\(498\) | 7896.86 | + | 6700.62i | 0.710575 | + | 0.602935i | ||||
\(499\) | −1273.62 | − | 1517.84i | −0.114259 | − | 0.136168i | 0.705884 | − | 0.708328i | \(-0.250550\pi\) |
−0.820142 | + | 0.572160i | \(0.806106\pi\) | |||||||
\(500\) | 776.965 | + | 514.653i | 0.0694938 | + | 0.0460320i | ||||
\(501\) | −17787.1 | + | 3601.00i | −1.58616 | + | 0.321120i | ||||
\(502\) | 6805.69 | − | 3655.29i | 0.605085 | − | 0.324988i | ||||
\(503\) | 7085.61 | + | 12272.6i | 0.628095 | + | 1.08789i | 0.987934 | + | 0.154878i | \(0.0494983\pi\) |
−0.359839 | + | 0.933014i | \(0.617168\pi\) | |||||||
\(504\) | −3060.06 | − | 2793.27i | −0.270448 | − | 0.246870i | ||||
\(505\) | −4538.37 | + | 7860.68i | −0.399910 | + | 0.692665i | ||||
\(506\) | −283.368 | + | 9221.78i | −0.0248957 | + | 0.810194i | ||||
\(507\) | −6752.62 | − | 17191.0i | −0.591507 | − | 1.50588i | ||||
\(508\) | 906.968 | − | 14744.0i | 0.0792130 | − | 1.28772i | ||||
\(509\) | −7276.85 | + | 1283.10i | −0.633675 | + | 0.111734i | −0.481253 | − | 0.876582i | \(-0.659818\pi\) |
−0.152422 | + | 0.988316i | \(0.548707\pi\) | |||||||
\(510\) | 1178.20 | + | 6903.78i | 0.102297 | + | 0.599420i | ||||
\(511\) | −2927.13 | + | 3488.42i | −0.253402 | + | 0.301993i | ||||
\(512\) | 3162.28 | − | 11145.3i | 0.272957 | − | 0.962026i | ||||
\(513\) | 3357.29 | − | 6986.72i | 0.288943 | − | 0.601308i | ||||
\(514\) | 1010.82 | + | 6980.13i | 0.0867421 | + | 0.598989i | ||||
\(515\) | 20458.3 | + | 17166.6i | 1.75049 | + | 1.46884i | ||||
\(516\) | 956.553 | − | 4471.36i | 0.0816084 | − | 0.381474i | ||||
\(517\) | −67.7832 | − | 384.417i | −0.00576615 | − | 0.0327015i | ||||
\(518\) | −854.254 | + | 4103.38i | −0.0724590 | + | 0.348054i | ||||
\(519\) | 59.4419 | + | 47.3757i | 0.00502738 | + | 0.00400686i | ||||
\(520\) | −25846.7 | + | 6790.35i | −2.17972 | + | 0.572648i | ||||
\(521\) | 18111.0 | + | 10456.4i | 1.52295 | + | 0.879278i | 0.999632 | + | 0.0271432i | \(0.00864102\pi\) |
0.523323 | + | 0.852135i | \(0.324692\pi\) | |||||||
\(522\) | −2683.95 | + | 17197.6i | −0.225044 | + | 1.44199i | ||||
\(523\) | −8880.14 | + | 5126.95i | −0.742450 | + | 0.428654i | −0.822959 | − | 0.568100i | \(-0.807679\pi\) |
0.0805093 | + | 0.996754i | \(0.474345\pi\) | |||||||
\(524\) | −13237.1 | + | 9787.79i | −1.10356 | + | 0.815995i | ||||
\(525\) | 3925.98 | + | 1317.82i | 0.326369 | + | 0.109551i | ||||
\(526\) | −2498.92 | + | 2798.82i | −0.207145 | + | 0.232004i | ||||
\(527\) | −3194.48 | + | 2680.48i | −0.264049 | + | 0.221563i | ||||
\(528\) | 2891.49 | + | 11257.8i | 0.238326 | + | 0.927901i | ||||
\(529\) | 3248.42 | − | 1182.33i | 0.266986 | − | 0.0971749i | ||||
\(530\) | −15979.5 | − | 20277.2i | −1.30963 | − | 1.66186i | ||||
\(531\) | −8006.21 | + | 7437.16i | −0.654313 | + | 0.607807i | ||||
\(532\) | 700.791 | − | 2914.50i | 0.0571111 | − | 0.237518i | ||||
\(533\) | −4903.77 | − | 864.666i | −0.398510 | − | 0.0702680i | ||||
\(534\) | 10713.3 | + | 6264.16i | 0.868184 | + | 0.507634i | ||||
\(535\) | 7626.93 | − | 20954.8i | 0.616339 | − | 1.69338i | ||||
\(536\) | 15001.0 | − | 10394.9i | 1.20885 | − | 0.837667i | ||||
\(537\) | 322.554 | + | 175.535i | 0.0259204 | + | 0.0141059i | ||||
\(538\) | 3312.67 | − | 5351.11i | 0.265463 | − | 0.428816i | ||||
\(539\) | −10380.8 | −0.829561 | ||||||||
\(540\) | −3279.53 | − | 17168.3i | −0.261349 | − | 1.36816i | ||||
\(541\) | −228.632 | −0.0181694 | −0.00908470 | − | 0.999959i | \(-0.502892\pi\) | ||||
−0.00908470 | + | 0.999959i | \(0.502892\pi\) | |||||||
\(542\) | −7453.96 | + | 12040.8i | −0.590729 | + | 0.954234i | ||||
\(543\) | 318.517 | + | 12628.0i | 0.0251729 | + | 0.998012i | ||||
\(544\) | 3470.89 | − | 4316.88i | 0.273553 | − | 0.340230i | ||||
\(545\) | 4697.92 | − | 12907.4i | 0.369241 | − | 1.01448i | ||||
\(546\) | 6566.87 | − | 3743.37i | 0.514718 | − | 0.293409i | ||||
\(547\) | 17219.9 | + | 3036.33i | 1.34601 | + | 0.237338i | 0.799779 | − | 0.600295i | \(-0.204950\pi\) |
0.546233 | + | 0.837633i | \(0.316061\pi\) | |||||||
\(548\) | 3908.53 | + | 939.802i | 0.304679 | + | 0.0732598i | ||||
\(549\) | 15201.9 | + | 11501.4i | 1.18179 | + | 0.894113i | ||||
\(550\) | −7190.81 | − | 9124.79i | −0.557486 | − | 0.707422i | ||||
\(551\) | −11833.4 | + | 4307.02i | −0.914922 | + | 0.333004i | ||||
\(552\) | −8858.83 | + | 6475.32i | −0.683074 | + | 0.499289i | ||||
\(553\) | −5780.46 | + | 4850.38i | −0.444503 | + | 0.372982i | ||||
\(554\) | 11503.4 | − | 12884.0i | 0.882191 | − | 0.988063i | ||||
\(555\) | −13254.1 | + | 11703.5i | −1.01370 | + | 0.895112i | ||||
\(556\) | 5836.64 | + | 7893.54i | 0.445195 | + | 0.602088i | ||||
\(557\) | −19806.8 | + | 11435.5i | −1.50672 | + | 0.869904i | −0.506748 | + | 0.862094i | \(0.669153\pi\) |
−0.999970 | + | 0.00780969i | \(0.997514\pi\) | |||||||
\(558\) | 7838.94 | − | 6845.50i | 0.594711 | − | 0.519343i | ||||
\(559\) | 7224.47 | + | 4171.05i | 0.546623 | + | 0.315593i | ||||
\(560\) | −2636.66 | − | 6223.70i | −0.198963 | − | 0.469641i | ||||
\(561\) | −826.713 | + | 5495.49i | −0.0622172 | + | 0.413582i | ||||
\(562\) | −2896.45 | + | 13913.0i | −0.217401 | + | 1.04428i | ||||
\(563\) | −2696.45 | − | 15292.3i | −0.201850 | − | 1.14475i | −0.902320 | − | 0.431067i | \(-0.858137\pi\) |
0.700470 | − | 0.713682i | \(-0.252974\pi\) | |||||||
\(564\) | 311.103 | − | 344.604i | 0.0232266 | − | 0.0257277i | ||||
\(565\) | −7459.31 | − | 6259.10i | −0.555426 | − | 0.466057i | ||||
\(566\) | −1810.79 | − | 12504.2i | −0.134476 | − | 0.928607i | ||||
\(567\) | 2150.13 | + | 4451.84i | 0.159254 | + | 0.329735i | ||||
\(568\) | −21632.3 | + | 9958.86i | −1.59801 | + | 0.735677i | ||||
\(569\) | 9914.25 | − | 11815.3i | 0.730451 | − | 0.870518i | −0.265150 | − | 0.964207i | \(-0.585422\pi\) |
0.995602 | + | 0.0936891i | \(0.0298660\pi\) | |||||||
\(570\) | 9731.67 | − | 8075.03i | 0.715113 | − | 0.593379i | ||||
\(571\) | −11488.1 | + | 2025.65i | −0.841961 | + | 0.148461i | −0.577963 | − | 0.816063i | \(-0.696152\pi\) |
−0.263998 | + | 0.964523i | \(0.585041\pi\) | |||||||
\(572\) | −21165.2 | − | 1301.96i | −1.54714 | − | 0.0951710i | ||||
\(573\) | 3602.60 | + | 541.956i | 0.262654 | + | 0.0395123i | ||||
\(574\) | 38.6816 | − | 1258.83i | 0.00281278 | − | 0.0915378i | ||||
\(575\) | 5483.93 | − | 9498.44i | 0.397731 | − | 0.688891i | ||||
\(576\) | −8448.11 | + | 10942.2i | −0.611119 | + | 0.791538i | ||||
\(577\) | 5240.23 | + | 9076.34i | 0.378082 | + | 0.654858i | 0.990783 | − | 0.135457i | \(-0.0432502\pi\) |
−0.612701 | + | 0.790315i | \(0.709917\pi\) | |||||||
\(578\) | −9908.88 | + | 5322.00i | −0.713071 | + | 0.382986i | ||||
\(579\) | −4778.08 | − | 5411.11i | −0.342953 | − | 0.388391i | ||||
\(580\) | −15680.8 | + | 23673.1i | −1.12260 | + | 1.69478i | ||||
\(581\) | −3071.83 | − | 3660.86i | −0.219347 | − | 0.261408i | ||||
\(582\) | 13702.6 | − | 4902.16i | 0.975932 | − | 0.349143i | ||||
\(583\) | −7006.47 | − | 19250.1i | −0.497733 | − | 1.36751i | ||||
\(584\) | 12403.4 | + | 8775.60i | 0.878861 | + | 0.621810i | ||||
\(585\) | 31642.8 | + | 3947.07i | 2.23635 | + | 0.278960i | ||||
\(586\) | 9508.32 | + | 3795.37i | 0.670282 | + | 0.267551i | ||||
\(587\) | −2213.68 | + | 12554.4i | −0.155653 | + | 0.882752i | 0.802533 | + | 0.596607i | \(0.203485\pi\) |
−0.958186 | + | 0.286145i | \(0.907626\pi\) | |||||||
\(588\) | −7588.43 | − | 9739.06i | −0.532213 | − | 0.683048i | ||||
\(589\) | 7075.39 | + | 2575.23i | 0.494969 | + | 0.180154i | ||||
\(590\) | −16931.2 | + | 5579.78i | −1.18143 | + | 0.389349i | ||||
\(591\) | 8199.93 | − | 206.827i | 0.570728 | − | 0.0143955i | ||||
\(592\) | 13879.2 | + | 1714.02i | 0.963564 | + | 0.118996i | ||||
\(593\) | 24575.8i | 1.70187i | 0.525274 | + | 0.850933i | \(0.323963\pi\) | ||||
−0.525274 | + | 0.850933i | \(0.676037\pi\) | |||||||
\(594\) | 1792.41 | − | 13753.0i | 0.123810 | − | 0.949985i | ||||
\(595\) | − | 3231.72i | − | 0.222668i | ||||||
\(596\) | 10711.6 | − | 24611.4i | 0.736180 | − | 1.69148i | ||||
\(597\) | −2865.02 | + | 5264.62i | −0.196411 | + | 0.360916i | ||||
\(598\) | −6265.96 | − | 19013.3i | −0.428485 | − | 1.30019i | ||||
\(599\) | 1184.50 | + | 431.122i | 0.0807968 | + | 0.0294076i | 0.382102 | − | 0.924120i | \(-0.375200\pi\) |
−0.301306 | + | 0.953528i | \(0.597422\pi\) | |||||||
\(600\) | 3304.17 | − | 13416.5i | 0.224820 | − | 0.912879i | ||||
\(601\) | −3094.58 | + | 17550.2i | −0.210034 | + | 1.19116i | 0.679285 | + | 0.733875i | \(0.262290\pi\) |
−0.889319 | + | 0.457287i | \(0.848821\pi\) | |||||||
\(602\) | −782.198 | + | 1959.60i | −0.0529568 | + | 0.132670i | ||||
\(603\) | −21228.5 | + | 4857.98i | −1.43365 | + | 0.328080i | ||||
\(604\) | 1499.78 | − | 1579.33i | 0.101035 | − | 0.106394i | ||||
\(605\) | 582.742 | + | 1601.07i | 0.0391601 | + | 0.107591i | ||||
\(606\) | −8427.65 | − | 1533.87i | −0.564934 | − | 0.102820i | ||||
\(607\) | 7711.26 | + | 9189.92i | 0.515635 | + | 0.614510i | 0.959543 | − | 0.281563i | \(-0.0908527\pi\) |
−0.443908 | + | 0.896072i | \(0.646408\pi\) | |||||||
\(608\) | −9883.75 | − | 1530.12i | −0.659275 | − | 0.102063i | ||||
\(609\) | 2555.83 | − | 7614.20i | 0.170061 | − | 0.506639i | ||||
\(610\) | 14714.6 | + | 27396.7i | 0.976683 | + | 1.81846i | ||||
\(611\) | 423.495 | + | 733.516i | 0.0280406 | + | 0.0485677i | ||||
\(612\) | −5760.08 | + | 3241.62i | −0.380453 | + | 0.214109i | ||||
\(613\) | −1816.37 | + | 3146.05i | −0.119678 | + | 0.207288i | −0.919640 | − | 0.392762i | \(-0.871519\pi\) |
0.799962 | + | 0.600050i | \(0.204853\pi\) | |||||||
\(614\) | −16900.8 | − | 519.330i | −1.11085 | − | 0.0341343i | ||||
\(615\) | 3311.45 | − | 4154.85i | 0.217123 | − | 0.272422i | ||||
\(616\) | −441.323 | − | 5345.19i | −0.0288659 | − | 0.349616i | ||||
\(617\) | 11618.8 | − | 2048.71i | 0.758112 | − | 0.133676i | 0.218786 | − | 0.975773i | \(-0.429790\pi\) |
0.539326 | + | 0.842097i | \(0.318679\pi\) | |||||||
\(618\) | −8750.44 | + | 23636.3i | −0.569570 | + | 1.53850i | ||||
\(619\) | −764.045 | + | 910.553i | −0.0496116 | + | 0.0591248i | −0.790280 | − | 0.612746i | \(-0.790065\pi\) |
0.740668 | + | 0.671871i | \(0.234509\pi\) | |||||||
\(620\) | 16280.6 | − | 4816.33i | 1.05459 | − | 0.311981i | ||||
\(621\) | 12685.9 | − | 3241.76i | 0.819755 | − | 0.209480i | ||||
\(622\) | 2729.25 | − | 395.235i | 0.175937 | − | 0.0254783i | ||||
\(623\) | −4386.81 | − | 3680.97i | −0.282109 | − | 0.236717i | ||||
\(624\) | −14250.4 | − | 20808.5i | −0.914219 | − | 1.33495i | ||||
\(625\) | −2865.91 | − | 16253.4i | −0.183418 | − | 1.04022i | ||||
\(626\) | 9921.97 | + | 2065.59i | 0.633485 | + | 0.131881i | ||||
\(627\) | 9339.57 | − | 3668.58i | 0.594875 | − | 0.233666i | ||||
\(628\) | −1410.14 | − | 12415.3i | −0.0896030 | − | 0.788893i | ||||
\(629\) | 5790.57 | + | 3343.19i | 0.367067 | + | 0.211926i | ||||
\(630\) | 159.013 | + | 8063.76i | 0.0100559 | + | 0.509949i | ||||
\(631\) | 23193.2 | − | 13390.6i | 1.46324 | − | 0.844803i | 0.464082 | − | 0.885792i | \(-0.346384\pi\) |
0.999160 | + | 0.0409897i | \(0.0130511\pi\) | |||||||
\(632\) | 17715.6 | + | 17889.6i | 1.11501 | + | 1.12597i | ||||
\(633\) | −768.255 | − | 3794.78i | −0.0482392 | − | 0.238277i | ||||
\(634\) | −1938.34 | − | 1730.65i | −0.121422 | − | 0.108411i | ||||
\(635\) | −22027.9 | + | 18483.6i | −1.37662 | + | 1.15512i | ||||
\(636\) | 12938.3 | − | 20645.3i | 0.806662 | − | 1.28717i | ||||
\(637\) | 21166.3 | − | 7703.89i | 1.31654 | − | 0.479183i | ||||
\(638\) | −17697.0 | + | 13946.1i | −1.09817 | + | 0.865412i | ||||
\(639\) | 28380.5 | − | 1432.60i | 1.75699 | − | 0.0886895i | ||||
\(640\) | −19971.2 | + | 10476.1i | −1.23349 | + | 0.647040i | ||||
\(641\) | −6233.71 | − | 1099.17i | −0.384114 | − | 0.0677296i | −0.0217428 | − | 0.999764i | \(-0.506921\pi\) |
−0.362371 | + | 0.932034i | \(0.618033\pi\) | |||||||
\(642\) | 21044.8 | + | 115.763i | 1.29373 | + | 0.00711653i | ||||
\(643\) | 10689.1 | − | 29368.0i | 0.655578 | − | 1.80118i | 0.0595437 | − | 0.998226i | \(-0.481035\pi\) |
0.596034 | − | 0.802959i | \(-0.296742\pi\) | |||||||
\(644\) | 4532.20 | − | 2257.69i | 0.277319 | − | 0.138145i | ||||
\(645\) | −7593.85 | + | 4643.47i | −0.463578 | + | 0.283467i | ||||
\(646\) | −4065.90 | − | 2517.04i | −0.247633 | − | 0.153300i | ||||
\(647\) | 5494.27 | 0.333852 | 0.166926 | − | 0.985969i | \(-0.446616\pi\) | ||||
0.166926 | + | 0.985969i | \(0.446616\pi\) | |||||||
\(648\) | 14213.0 | − | 8371.88i | 0.861635 | − | 0.507529i | ||||
\(649\) | −14145.6 | −0.855567 | ||||||||
\(650\) | 21433.7 | + | 13268.8i | 1.29338 | + | 0.800682i | ||||
\(651\) | −4097.03 | + | 2505.24i | −0.246659 | + | 0.150827i | ||||
\(652\) | 12021.7 | − | 5988.53i | 0.722094 | − | 0.359707i | ||||
\(653\) | −9920.55 | + | 27256.5i | −0.594519 | + | 1.63343i | 0.167499 | + | 0.985872i | \(0.446431\pi\) |
−0.762018 | + | 0.647556i | \(0.775791\pi\) | |||||||
\(654\) | 12962.9 | + | 71.3060i | 0.775057 | + | 0.00426343i | ||||
\(655\) | 31560.0 | + | 5564.88i | 1.88268 | + | 0.331966i | ||||
\(656\) | −4196.51 | + | 216.982i | −0.249766 | + | 0.0129142i | ||||
\(657\) | −9845.03 | − | 15224.1i | −0.584614 | − | 0.904030i | ||||
\(658\) | −168.259 | + | 132.597i | −0.00996873 | + | 0.00785588i | ||||
\(659\) | 519.079 | − | 188.929i | 0.0306835 | − | 0.0111679i | −0.326633 | − | 0.945151i | \(-0.605914\pi\) |
0.357316 | + | 0.933983i | \(0.383692\pi\) | |||||||
\(660\) | 12015.1 | − | 19172.2i | 0.708619 | − | 1.13072i | ||||
\(661\) | 7097.15 | − | 5955.22i | 0.417620 | − | 0.350425i | −0.409637 | − | 0.912249i | \(-0.634344\pi\) |
0.827257 | + | 0.561824i | \(0.189900\pi\) | |||||||
\(662\) | 8691.94 | + | 7760.59i | 0.510305 | + | 0.455625i | ||||
\(663\) | −2392.70 | − | 11818.7i | −0.140158 | − | 0.692309i | ||||
\(664\) | −11329.8 | + | 11219.6i | −0.662171 | + | 0.655728i | ||||
\(665\) | −5053.40 | + | 2917.58i | −0.294680 | + | 0.170134i | ||||
\(666\) | −14613.1 | − | 8056.96i | −0.850217 | − | 0.468770i | ||||
\(667\) | −18421.6 | − | 10635.7i | −1.06940 | − | 0.617417i | ||||
\(668\) | −3153.24 | − | 27762.1i | −0.182638 | − | 1.60800i | ||||
\(669\) | 14773.5 | − | 5803.00i | 0.853774 | − | 0.335362i | ||||
\(670\) | −34781.3 | − | 7240.88i | −2.00555 | − | 0.417522i | ||||
\(671\) | 4285.00 | + | 24301.4i | 0.246528 | + | 1.39813i | ||||
\(672\) | 4692.13 | − | 4321.40i | 0.269350 | − | 0.248068i | ||||
\(673\) | 2309.93 | + | 1938.26i | 0.132305 | + | 0.111017i | 0.706539 | − | 0.707674i | \(-0.250256\pi\) |
−0.574234 | + | 0.818691i | \(0.694700\pi\) | |||||||
\(674\) | −32231.4 | + | 4667.57i | −1.84200 | + | 0.266748i | ||||
\(675\) | −9613.06 | + | 13395.1i | −0.548158 | + | 0.763816i | ||||
\(676\) | 27267.7 | − | 8066.68i | 1.55142 | − | 0.458960i | ||||
\(677\) | 21776.9 | − | 25952.7i | 1.23627 | − | 1.47333i | 0.408014 | − | 0.912976i | \(-0.366222\pi\) |
0.828255 | − | 0.560351i | \(-0.189334\pi\) | |||||||
\(678\) | 3190.49 | − | 8618.01i | 0.180723 | − | 0.488160i | ||||
\(679\) | −6613.34 | + | 1166.11i | −0.373780 | + | 0.0659075i | ||||
\(680\) | −10746.2 | + | 887.252i | −0.606025 | + | 0.0500361i | ||||
\(681\) | 13021.9 | − | 16338.5i | 0.732746 | − | 0.919371i | ||||
\(682\) | 13465.7 | + | 413.775i | 0.756052 | + | 0.0232320i | ||||
\(683\) | −3463.92 | + | 5999.68i | −0.194060 | + | 0.336122i | −0.946592 | − | 0.322434i | \(-0.895499\pi\) |
0.752532 | + | 0.658556i | \(0.228832\pi\) | |||||||
\(684\) | 10269.1 | + | 6080.44i | 0.574045 | + | 0.339900i | ||||
\(685\) | −3912.65 | − | 6776.91i | −0.218241 | − | 0.378004i | ||||
\(686\) | 5808.76 | + | 10815.2i | 0.323294 | + | 0.601932i | ||||
\(687\) | −1391.38 | + | 4145.13i | −0.0772698 | + | 0.230199i | ||||
\(688\) | 6730.83 | + | 2062.98i | 0.372980 | + | 0.114317i | ||||
\(689\) | 28572.1 | + | 34050.9i | 1.57984 | + | 1.88278i | ||||
\(690\) | 21015.3 | + | 3824.87i | 1.15948 | + | 0.211030i | ||||
\(691\) | −6429.82 | − | 17665.8i | −0.353983 | − | 0.972559i | −0.981077 | − | 0.193616i | \(-0.937978\pi\) |
0.627095 | − | 0.778943i | \(-0.284244\pi\) | |||||||
\(692\) | −80.5864 | + | 84.8608i | −0.00442693 | + | 0.00466174i | ||||
\(693\) | −1882.90 | + | 6116.55i | −0.103211 | + | 0.335279i | ||||
\(694\) | −3650.23 | + | 9144.71i | −0.199655 | + | 0.500185i | ||||
\(695\) | 3318.44 | − | 18819.8i | 0.181116 | − | 1.02716i | ||||
\(696\) | −26020.5 | − | 6408.23i | −1.41711 | − | 0.348999i | ||||
\(697\) | −1887.97 | − | 687.164i | −0.102600 | − | 0.0373432i | ||||
\(698\) | 3871.51 | + | 11747.6i | 0.209941 | + | 0.637042i | ||||
\(699\) | −1196.93 | + | 2199.42i | −0.0647668 | + | 0.119012i | ||||
\(700\) | −2544.42 | + | 5846.17i | −0.137386 | + | 0.315664i | ||||
\(701\) | − | 11896.3i | − | 0.640966i | −0.947254 | − | 0.320483i | \(-0.896155\pi\) | ||
0.947254 | − | 0.320483i | \(-0.103845\pi\) | |||||||
\(702\) | 6551.78 | + | 29372.2i | 0.352252 | + | 1.57918i | ||||
\(703\) | − | 12072.8i | − | 0.647704i | ||||||
\(704\) | −17652.7 | + | 2934.98i | −0.945046 | + | 0.157126i | ||||
\(705\) | −903.453 | + | 22.7878i | −0.0482638 | + | 0.00121736i | ||||
\(706\) | −24414.9 | + | 8046.07i | −1.30151 | + | 0.428920i | ||||
\(707\) | 3714.35 | + | 1351.91i | 0.197585 | + | 0.0719149i | ||||
\(708\) | −10340.5 | − | 13271.1i | −0.548898 | − | 0.704461i | ||||
\(709\) | −2412.53 | + | 13682.1i | −0.127792 | + | 0.724743i | 0.851819 | + | 0.523837i | \(0.175500\pi\) |
−0.979610 | + | 0.200907i | \(0.935611\pi\) | |||||||
\(710\) | 43055.0 | + | 17185.9i | 2.27581 | + | 0.908418i | ||||
\(711\) | −11685.2 | − | 27676.6i | −0.616356 | − | 1.45985i | ||||
\(712\) | −11035.6 | + | 15597.7i | −0.580868 | + | 0.820993i | ||||
\(713\) | 4349.99 | + | 11951.5i | 0.228483 | + | 0.627752i | ||||
\(714\) | 2871.68 | − | 1027.35i | 0.150518 | − | 0.0538483i | ||||
\(715\) | 26533.5 | + | 31621.3i | 1.38783 | + | 1.65395i | ||||
\(716\) | −312.219 | + | 471.352i | −0.0162963 | + | 0.0246023i | ||||
\(717\) | −8404.74 | − | 9518.27i | −0.437769 | − | 0.495769i | ||||
\(718\) | −1844.70 | + | 990.777i | −0.0958824 | + | 0.0514979i | ||||
\(719\) | −1290.73 | − | 2235.62i | −0.0669489 | − | 0.115959i | 0.830608 | − | 0.556858i | \(-0.187993\pi\) |
−0.897557 | + | 0.440899i | \(0.854660\pi\) | |||||||
\(720\) | 26770.1 | − | 2742.62i | 1.38564 | − | 0.141960i | ||||
\(721\) | 5815.05 | − | 10072.0i | 0.300366 | − | 0.520249i | ||||
\(722\) | 330.661 | − | 10760.9i | 0.0170442 | − | 0.554678i | ||||
\(723\) | −570.963 | − | 85.8928i | −0.0293698 | − | 0.00441824i | ||||
\(724\) | −19411.6 | − | 1194.09i | −0.996445 | − | 0.0612956i | ||||
\(725\) | 26378.3 | − | 4651.21i | 1.35126 | − | 0.238264i | ||||
\(726\) | −1237.44 | + | 1026.79i | −0.0632588 | + | 0.0524902i | ||||
\(727\) | −9318.65 | + | 11105.5i | −0.475391 | + | 0.566549i | −0.949440 | − | 0.313949i | \(-0.898348\pi\) |
0.474048 | + | 0.880499i | \(0.342792\pi\) | |||||||
\(728\) | 4866.66 | + | 10571.2i | 0.247762 | + | 0.538180i | ||||
\(729\) | −19458.1 | + | 2966.81i | −0.988575 | + | 0.150729i | ||||
\(730\) | −4238.94 | − | 29271.6i | −0.214918 | − | 1.48409i | ||||
\(731\) | 2578.46 | + | 2163.58i | 0.130462 | + | 0.109471i | ||||
\(732\) | −19666.7 | + | 21784.5i | −0.993037 | + | 1.09997i | ||||
\(733\) | 1178.48 | + | 6683.47i | 0.0593833 | + | 0.336780i | 0.999996 | − | 0.00270109i | \(-0.000859784\pi\) |
−0.940613 | + | 0.339481i | \(0.889749\pi\) | |||||||
\(734\) | 5604.44 | − | 26920.8i | 0.281831 | − | 1.35376i | ||||
\(735\) | −3575.30 | + | 23766.4i | −0.179425 | + | 1.19271i | ||||
\(736\) | −8751.59 | − | 14450.7i | −0.438299 | − | 0.723722i | ||||
\(737\) | −24413.7 | − | 14095.3i | −1.22021 | − | 0.704486i | ||||
\(738\) | 4744.65 | + | 1621.71i | 0.236657 | + | 0.0808889i | ||||
\(739\) | −26220.5 | + | 15138.4i | −1.30519 | + | 0.753552i | −0.981289 | − | 0.192538i | \(-0.938328\pi\) |
−0.323902 | + | 0.946091i | \(0.604995\pi\) | |||||||
\(740\) | −16185.1 | − | 21888.9i | −0.804021 | − | 1.08737i | ||||
\(741\) | −16320.6 | + | 14411.3i | −0.809114 | + | 0.714457i | ||||
\(742\) | −7487.76 | + | 8386.37i | −0.370464 | + | 0.414924i | ||||
\(743\) | 5676.79 | − | 4763.40i | 0.280298 | − | 0.235198i | −0.491790 | − | 0.870714i | \(-0.663657\pi\) |
0.772088 | + | 0.635516i | \(0.219213\pi\) | |||||||
\(744\) | 9455.28 | + | 12935.7i | 0.465924 | + | 0.637427i | ||||
\(745\) | −49099.1 | + | 17870.6i | −2.41456 | + | 0.878830i | ||||
\(746\) | −6956.73 | − | 8827.76i | −0.341426 | − | 0.433253i | ||||
\(747\) | 17528.0 | − | 7400.42i | 0.858523 | − | 0.362473i | ||||
\(748\) | −8318.95 | − | 2000.29i | −0.406646 | − | 0.0977777i | ||||
\(749\) | −9563.49 | − | 1686.30i | −0.466545 | − | 0.0822645i | ||||
\(750\) | 1487.42 | − | 847.887i | 0.0724172 | − | 0.0412806i | ||||
\(751\) | −10556.7 | + | 29004.3i | −0.512942 | + | 1.40930i | 0.365215 | + | 0.930923i | \(0.380995\pi\) |
−0.878157 | + | 0.478372i | \(0.841227\pi\) | |||||||
\(752\) | 487.108 | + | 523.094i | 0.0236210 | + | 0.0253660i | ||||
\(753\) | −357.854 | − | 14187.6i | −0.0173186 | − | 0.686619i | ||||
\(754\) | 25733.9 | − | 41569.3i | 1.24294 | − | 2.00778i | ||||
\(755\) | −4239.74 | −0.204371 | ||||||||
\(756\) | −7114.83 | + | 2704.74i | −0.342280 | + | 0.130119i | ||||
\(757\) | −352.930 | −0.0169451 | −0.00847255 | − | 0.999964i | \(-0.502697\pi\) | ||||
−0.00847255 | + | 0.999964i | \(0.502697\pi\) | |||||||
\(758\) | −1748.78 | + | 2824.89i | −0.0837975 | + | 0.135362i | ||||
\(759\) | 14887.7 | + | 8101.93i | 0.711976 | + | 0.387459i | ||||
\(760\) | 11089.0 | + | 16002.6i | 0.529262 | + | 0.763785i | ||||
\(761\) | −1718.22 | + | 4720.76i | −0.0818466 | + | 0.224872i | −0.973865 | − | 0.227127i | \(-0.927067\pi\) |
0.892019 | + | 0.451999i | \(0.149289\pi\) | |||||||
\(762\) | −23426.9 | − | 13697.9i | −1.11374 | − | 0.651212i | ||||
\(763\) | −5890.77 | − | 1038.70i | −0.279502 | − | 0.0492837i | ||||
\(764\) | −1311.30 | + | 5453.53i | −0.0620957 | + | 0.258249i | ||||
\(765\) | 12297.0 | + | 3785.45i | 0.581173 | + | 0.178906i | ||||
\(766\) | 18378.5 | + | 23321.4i | 0.866895 | + | 1.10005i | ||||
\(767\) | 28842.6 | − | 10497.8i | 1.35782 | − | 0.494205i | ||||
\(768\) | −15657.8 | − | 14415.9i | −0.735678 | − | 0.677331i | ||||
\(769\) | −15566.2 | + | 13061.6i | −0.729951 | + | 0.612501i | −0.930118 | − | 0.367260i | \(-0.880296\pi\) |
0.200168 | + | 0.979762i | \(0.435851\pi\) | |||||||
\(770\) | −6953.50 | + | 7788.00i | −0.325437 | + | 0.364493i | ||||
\(771\) | 12283.5 | + | 4123.16i | 0.573775 | + | 0.192597i | ||||
\(772\) | 8936.36 | − | 6607.71i | 0.416615 | − | 0.308053i | ||||
\(773\) | −13158.3 | + | 7596.93i | −0.612251 | + | 0.353483i | −0.773846 | − | 0.633374i | \(-0.781670\pi\) |
0.161595 | + | 0.986857i | \(0.448336\pi\) | |||||||
\(774\) | −6540.20 | − | 5271.68i | −0.303724 | − | 0.244815i | ||||
\(775\) | −13869.7 | − | 8007.65i | −0.642855 | − | 0.371153i | ||||
\(776\) | 5693.22 | + | 21670.6i | 0.263370 | + | 1.00249i | ||||
\(777\) | 6021.48 | + | 4799.17i | 0.278017 | + | 0.221582i | ||||
\(778\) | −1789.12 | + | 8593.96i | −0.0824460 | + | 0.396026i | ||||
\(779\) | 629.938 | + | 3572.56i | 0.0289729 | + | 0.164313i | ||||
\(780\) | −10270.4 | + | 48008.5i | −0.471461 | + | 2.20382i | ||||
\(781\) | 28179.0 | + | 23645.0i | 1.29107 | + | 1.08333i | ||||
\(782\) | −1157.66 | − | 7994.12i | −0.0529385 | − | 0.365562i | ||||
\(783\) | 25978.9 | + | 18643.9i | 1.18571 | + | 0.850932i | ||||
\(784\) | 15949.1 | − | 10341.6i | 0.726546 | − | 0.471101i | ||||
\(785\) | −15634.8 | + | 18632.8i | −0.710865 | + | 0.847176i | ||||
\(786\) | 5087.90 | + | 29813.0i | 0.230890 | + | 1.35292i | ||||
\(787\) | −16349.9 | + | 2882.93i | −0.740549 | + | 0.130579i | −0.531181 | − | 0.847258i | \(-0.678252\pi\) |
−0.209368 | + | 0.977837i | \(0.567141\pi\) | |||||||
\(788\) | −775.376 | + | 12604.8i | −0.0350528 | + | 0.569832i | ||||
\(789\) | 2520.11 | + | 6415.78i | 0.113712 | + | 0.289490i | ||||
\(790\) | 1505.28 | − | 48987.1i | 0.0677917 | − | 2.20618i | ||||
\(791\) | −2120.22 | + | 3672.33i | −0.0953052 | + | 0.165074i | ||||
\(792\) | 20855.8 | + | 4581.77i | 0.935705 | + | 0.205563i | ||||
\(793\) | −26771.8 | − | 46370.1i | −1.19886 | − | 2.07648i | ||||
\(794\) | 14262.2 | − | 7660.12i | 0.637463 | − | 0.342377i | ||||
\(795\) | −46485.5 | + | 9411.01i | −2.07380 | + | 0.419842i | ||||
\(796\) | −7693.25 | − | 5095.93i | −0.342563 | − | 0.226910i | ||||
\(797\) | −8619.12 | − | 10271.9i | −0.383068 | − | 0.456522i | 0.539712 | − | 0.841849i | \(-0.318533\pi\) |
−0.922780 | + | 0.385327i | \(0.874089\pi\) | |||||||
\(798\) | −4198.99 | − | 3562.91i | −0.186269 | − | 0.158052i | ||||
\(799\) | 116.886 | + | 321.140i | 0.00517536 | + | 0.0142192i | ||||
\(800\) | 20138.3 | + | 6855.72i | 0.889997 | + | 0.302983i | ||||
\(801\) | 19144.8 | − | 12380.5i | 0.844505 | − | 0.546120i | ||||
\(802\) | −24414.6 | − | 9745.41i | −1.07495 | − | 0.429080i | ||||
\(803\) | 4075.37 | − | 23112.6i | 0.179099 | − | 1.01572i | ||||
\(804\) | −4622.66 | − | 33208.2i | −0.202772 | − | 1.45667i | ||||
\(805\) | −9262.13 | − | 3371.14i | −0.405525 | − | 0.147599i | ||||
\(806\) | −27763.3 | + | 9149.58i | −1.21330 | + | 0.399851i | ||||
\(807\) | −6031.59 | − | 9863.95i | −0.263100 | − | 0.430270i | ||||
\(808\) | 3475.64 | − | 12722.2i | 0.151327 | − | 0.553916i | ||||
\(809\) | 28915.3i | 1.25662i | 0.777962 | + | 0.628311i | \(0.216254\pi\) | ||||
−0.777962 | + | 0.628311i | \(0.783746\pi\) | |||||||
\(810\) | −30869.5 | − | 8840.36i | −1.33907 | − | 0.383480i | ||||
\(811\) | − | 25685.2i | − | 1.11212i | −0.831142 | − | 0.556059i | \(-0.812313\pi\) | ||
0.831142 | − | 0.556059i | \(-0.187687\pi\) | |||||||
\(812\) | 11338.3 | + | 4934.75i | 0.490020 | + | 0.213271i | ||||
\(813\) | 13571.9 | + | 22195.3i | 0.585471 | + | 0.957469i | ||||
\(814\) | −6761.12 | − | 20515.8i | −0.291127 | − | 0.883389i | ||||
\(815\) | −24567.9 | − | 8941.97i | −1.05592 | − | 0.384323i | ||||
\(816\) | −4204.57 | − | 9266.89i | −0.180379 | − | 0.397556i | ||||
\(817\) | 1055.35 | − | 5985.17i | 0.0451920 | − | 0.256297i | ||||
\(818\) | −4856.88 | + | 12167.7i | −0.207600 | + | 0.520089i | ||||
\(819\) | −700.076 | − | 13868.9i | −0.0298689 | − | 0.591719i | ||||
\(820\) | 5931.56 | + | 5632.80i | 0.252609 | + | 0.239885i | ||||
\(821\) | −15353.6 | − | 42183.6i | −0.652671 | − | 1.79320i | −0.607639 | − | 0.794214i | \(-0.707883\pi\) |
−0.0450324 | − | 0.998986i | \(-0.514339\pi\) | |||||||
\(822\) | 4778.08 | − | 5631.10i | 0.202743 | − | 0.238938i | ||||
\(823\) | −16665.4 | − | 19861.0i | −0.705855 | − | 0.841205i | 0.287321 | − | 0.957834i | \(-0.407235\pi\) |
−0.993175 | + | 0.116630i | \(0.962791\pi\) | |||||||
\(824\) | −35087.9 | − | 16571.1i | −1.48343 | − | 0.700584i | ||||
\(825\) | −20918.6 | + | 4234.98i | −0.882778 | + | 0.178719i | ||||
\(826\) | 3673.30 | + | 6839.21i | 0.154734 | + | 0.288095i | ||||
\(827\) | −5673.89 | − | 9827.47i | −0.238574 | − | 0.413222i | 0.721731 | − | 0.692173i | \(-0.243347\pi\) |
−0.960305 | + | 0.278951i | \(0.910013\pi\) | |||||||
\(828\) | 3281.93 | + | 19889.9i | 0.137748 | + | 0.834808i | ||||
\(829\) | 16890.8 | − | 29255.8i | 0.707652 | − | 1.22569i | −0.258074 | − | 0.966125i | \(-0.583088\pi\) |
0.965726 | − | 0.259564i | \(-0.0835788\pi\) | |||||||
\(830\) | 31024.3 | + | 953.319i | 1.29743 | + | 0.0398677i | ||||
\(831\) | −11601.0 | − | 29534.1i | −0.484276 | − | 1.23289i | ||||
\(832\) | 33815.4 | − | 19085.0i | 1.40906 | − | 0.795255i | ||||
\(833\) | 8950.36 | − | 1578.19i | 0.372283 | − | 0.0656435i | ||||
\(834\) | 17778.0 | − | 3034.01i | 0.738133 | − | 0.125970i | ||||
\(835\) | −34961.2 | + | 41665.1i | −1.44896 | + | 1.72680i | ||||
\(836\) | 4382.49 | + | 14814.1i | 0.181306 | + | 0.612866i | ||||
\(837\) | −4733.62 | − | 18524.0i | −0.195481 | − | 0.764974i | ||||
\(838\) | 2548.63 | − | 369.079i | 0.105061 | − | 0.0152143i | ||||
\(839\) | −5671.47 | − | 4758.93i | −0.233374 | − | 0.195824i | 0.518600 | − | 0.855017i | \(-0.326454\pi\) |
−0.751974 | + | 0.659193i | \(0.770898\pi\) | |||||||
\(840\) | −12389.6 | − | 830.570i | −0.508906 | − | 0.0341159i | ||||
\(841\) | −4785.63 | − | 27140.6i | −0.196221 | − | 1.11282i | ||||
\(842\) | 6845.10 | + | 1425.03i | 0.280163 | + | 0.0583253i | ||||
\(843\) | 20416.5 | + | 16272.1i | 0.834143 | + | 0.664819i | ||||
\(844\) | 5922.90 | − | 672.727i | 0.241557 | − | 0.0274363i | ||||
\(845\) | −47938.1 | − | 27677.1i | −1.95162 | − | 1.12677i | ||||
\(846\) | −307.453 | − | 795.555i | −0.0124946 | − | 0.0323307i | ||||
\(847\) | 642.573 | − | 370.990i | 0.0260674 | − | 0.0150500i | ||||
\(848\) | 29942.2 | + | 22596.0i | 1.21252 | + | 0.915035i | ||||
\(849\) | −22004.8 | − | 7386.25i | −0.889519 | − | 0.298581i | ||||
\(850\) | 7587.17 | + | 6774.20i | 0.306162 | + | 0.273356i | ||||
\(851\) | 15622.0 | − | 13108.4i | 0.629276 | − | 0.528025i | ||||
\(852\) | −1584.25 | + | 43721.6i | −0.0637037 | + | 1.75807i | ||||
\(853\) | 2682.87 | − | 976.486i | 0.107690 | − | 0.0391961i | −0.287613 | − | 0.957747i | \(-0.592862\pi\) |
0.395303 | + | 0.918551i | \(0.370639\pi\) | |||||||
\(854\) | 10636.7 | − | 8382.28i | 0.426207 | − | 0.335873i | ||||
\(855\) | −5182.37 | − | 22646.1i | −0.207290 | − | 0.905824i | ||||
\(856\) | −2981.71 | + | 32263.6i | −0.119057 | + | 1.28826i | ||||
\(857\) | 23769.4 | + | 4191.19i | 0.947429 | + | 0.167057i | 0.625954 | − | 0.779860i | \(-0.284710\pi\) |
0.321476 | + | 0.946918i | \(0.395821\pi\) | |||||||
\(858\) | −19663.5 | + | 33629.7i | −0.782403 | + | 1.33811i | ||||
\(859\) | −13255.7 | + | 36419.7i | −0.526517 | + | 1.44659i | 0.336629 | + | 0.941638i | \(0.390713\pi\) |
−0.863145 | + | 0.504956i | \(0.831509\pi\) | |||||||
\(860\) | −6110.41 | − | 12266.4i | −0.242283 | − | 0.486371i | ||||
\(861\) | −2032.27 | − | 1105.97i | −0.0804409 | − | 0.0437761i | ||||
\(862\) | 36439.0 | + | 22558.0i | 1.43981 | + | 0.891330i | ||||
\(863\) | 12812.9 | 0.505397 | 0.252698 | − | 0.967545i | \(-0.418682\pi\) | ||||
0.252698 | + | 0.967545i | \(0.418682\pi\) | |||||||
\(864\) | 10947.2 | + | 22915.8i | 0.431053 | + | 0.902326i | ||||
\(865\) | 227.810 | 0.00895464 | ||||||||
\(866\) | −7904.79 | − | 4893.55i | −0.310180 | − | 0.192020i | ||||
\(867\) | 521.024 | + | 20656.7i | 0.0204093 | + | 0.809155i | ||||
\(868\) | −3296.68 | − | 6617.93i | −0.128913 | − | 0.258787i | ||||
\(869\) | 13301.0 | − | 36544.1i | 0.519222 | − | 1.42655i | ||||
\(870\) | 25834.0 | + | 45319.7i | 1.00673 | + | 1.76607i | ||||
\(871\) | 60239.6 | + | 10621.9i | 2.34345 | + | 0.413213i | ||||
\(872\) | −1836.63 | + | 19873.2i | −0.0713257 | + | 0.771780i | ||||
\(873\) | 3309.34 | − | 26530.2i | 0.128298 | − | 1.02853i | ||||
\(874\) | −11455.2 | + | 9027.27i | −0.443337 | + | 0.349373i | ||||
\(875\) | −742.389 | + | 270.207i | −0.0286827 | + | 0.0104396i | ||||
\(876\) | 24662.9 | − | 13072.0i | 0.951234 | − | 0.504180i | ||||
\(877\) | 16099.6 | − | 13509.2i | 0.619892 | − | 0.520151i | −0.277877 | − | 0.960617i | \(-0.589631\pi\) |
0.897770 | + | 0.440465i | \(0.145186\pi\) | |||||||
\(878\) | −19102.4 | − | 17055.5i | −0.734252 | − | 0.655576i | ||||
\(879\) | 14098.4 | − | 12449.0i | 0.540987 | − | 0.477697i | ||||
\(880\) | 27805.8 | + | 20983.7i | 1.06515 | + | 0.803820i | ||||
\(881\) | −4945.44 | + | 2855.25i | −0.189122 | + | 0.109189i | −0.591571 | − | 0.806253i | \(-0.701492\pi\) |
0.402450 | + | 0.915442i | \(0.368159\pi\) | |||||||
\(882\) | −22255.2 | + | 4378.28i | −0.849628 | + | 0.167148i | ||||
\(883\) | 39962.5 | + | 23072.3i | 1.52304 | + | 0.879328i | 0.999629 | + | 0.0272473i | \(0.00867415\pi\) |
0.523411 | + | 0.852080i | \(0.324659\pi\) | |||||||
\(884\) | 18446.6 | − | 2095.18i | 0.701841 | − | 0.0797157i | ||||
\(885\) | −4871.95 | + | 32385.7i | −0.185049 | + | 1.23010i | ||||
\(886\) | 23412.8 | + | 4874.16i | 0.887776 | + | 0.184820i | ||||
\(887\) | −6654.80 | − | 37741.3i | −0.251913 | − | 1.42867i | −0.803875 | − | 0.594798i | \(-0.797232\pi\) |
0.551963 | − | 0.833869i | \(-0.313879\pi\) | |||||||
\(888\) | 14305.1 | − | 21340.3i | 0.540594 | − | 0.806457i | ||||
\(889\) | 9592.69 | + | 8049.22i | 0.361899 | + | 0.303669i | ||||
\(890\) | 36810.0 | − | 5330.61i | 1.38638 | − | 0.200767i | ||||
\(891\) | −21068.4 | − | 14329.1i | −0.792166 | − | 0.538770i | ||||
\(892\) | 6932.27 | + | 23433.1i | 0.260213 | + | 0.879594i | ||||
\(893\) | 396.639 | − | 472.696i | 0.0148634 | − | 0.0177135i | ||||
\(894\) | −31488.0 | − | 37948.0i | −1.17798 | − | 1.41965i | ||||
\(895\) | 1083.86 | − | 191.114i | 0.0404799 | − | 0.00713770i | ||||
\(896\) | 6003.05 | + | 7772.72i | 0.223826 | + | 0.289808i | ||||
\(897\) | −36368.4 | − | 5471.08i | −1.35374 | − | 0.203650i | ||||
\(898\) | −10948.6 | − | 336.431i | −0.406861 | − | 0.0125021i | ||||
\(899\) | −15530.3 | + | 26899.3i | −0.576158 | + | 0.997935i | ||||
\(900\) | −19264.7 | − | 16529.6i | −0.713509 | − | 0.612207i | ||||
\(901\) | 8967.58 | + | 15532.3i | 0.331580 | + | 0.574313i | ||||
\(902\) | 3071.21 | + | 5718.20i | 0.113370 | + | 0.211081i | ||||
\(903\) | 2565.66 | + | 2905.58i | 0.0945513 | + | 0.107078i | ||||
\(904\) | 12793.4 | + | 6041.98i | 0.470688 | + | 0.222293i | ||||
\(905\) | 24335.1 | + | 29001.4i | 0.893839 | + | 1.06524i | ||||
\(906\) | −1347.80 | − | 3767.39i | −0.0494233 | − | 0.138149i | ||||
\(907\) | −7928.03 | − | 21782.1i | −0.290238 | − | 0.797423i | −0.996031 | − | 0.0890048i | \(-0.971631\pi\) |
0.705793 | − | 0.708418i | \(-0.250591\pi\) | |||||||
\(908\) | 23325.2 | + | 22150.3i | 0.852505 | + | 0.809565i | ||||
\(909\) | −9494.89 | + | 12549.8i | −0.346453 | + | 0.457922i | ||||
\(910\) | 8398.36 | − | 21040.0i | 0.305937 | − | 0.766448i | ||||
\(911\) | −1288.82 | + | 7309.26i | −0.0468722 | + | 0.265825i | −0.999233 | − | 0.0391468i | \(-0.987536\pi\) |
0.952361 | + | 0.304972i | \(0.0986471\pi\) | |||||||
\(912\) | −10694.6 | + | 14940.7i | −0.388306 | + | 0.542474i | ||||
\(913\) | 23144.0 | + | 8423.72i | 0.838942 | + | 0.305350i | ||||
\(914\) | −13256.5 | − | 40225.4i | −0.479745 | − | 1.45573i | ||||
\(915\) | 57112.9 | − | 1440.56i | 2.06349 | − | 0.0520475i | ||||
\(916\) | −6172.50 | − | 2686.45i | −0.222648 | − | 0.0969027i | ||||
\(917\) | − | 13955.7i | − | 0.502572i | ||||||
\(918\) | 545.439 | + | 12130.3i | 0.0196102 | + | 0.436123i | ||||
\(919\) | 4865.05i | 0.174628i | 0.996181 | + | 0.0873140i | \(0.0278284\pi\) | ||||
−0.996181 | + | 0.0873140i | \(0.972172\pi\) | |||||||
\(920\) | −8666.90 | + | 31724.1i | −0.310586 | + | 1.13686i | ||||
\(921\) | −14848.5 | + | 27284.8i | −0.531241 | + | 0.976183i | ||||
\(922\) | −9137.81 | + | 3011.42i | −0.326397 | + | 0.107566i | ||||
\(923\) | −75004.1 | − | 27299.2i | −2.67474 | − | 0.973527i | ||||
\(924\) | −9130.83 | − | 3703.04i | −0.325089 | − | 0.131841i | ||||
\(925\) | −4459.13 | + | 25289.0i | −0.158503 | + | 0.898915i | ||||
\(926\) | −19344.2 | − | 7721.48i | −0.686490 | − | 0.274021i | ||||
\(927\) | 31513.2 | + | 33924.4i | 1.11654 | + | 1.20197i | ||||
\(928\) | 13296.2 | − | 39057.0i | 0.470335 | − | 1.38158i | ||||
\(929\) | −450.474 | − | 1237.67i | −0.0159091 | − | 0.0437099i | 0.931484 | − | 0.363783i | \(-0.118515\pi\) |
−0.947393 | + | 0.320073i | \(0.896293\pi\) | |||||||
\(930\) | 5585.09 | − | 30686.6i | 0.196927 | − | 1.08199i | ||||
\(931\) | −10548.1 | − | 12570.8i | −0.371322 | − | 0.442525i | ||||
\(932\) | −3214.03 | − | 2128.94i | −0.112960 | − | 0.0748238i | ||||
\(933\) | 1612.17 | − | 4802.91i | 0.0565703 | − | 0.168532i | ||||
\(934\) | −18861.4 | + | 10130.3i | −0.660774 | + | 0.354898i | ||||
\(935\) | 8327.74 | + | 14424.1i | 0.291279 | + | 0.504510i | ||||
\(936\) | −45924.8 | + | 6135.53i | −1.60374 | + | 0.214259i | ||||
\(937\) | −4419.09 | + | 7654.09i | −0.154072 | + | 0.266860i | −0.932721 | − | 0.360600i | \(-0.882572\pi\) |
0.778649 | + | 0.627460i | \(0.215905\pi\) | |||||||
\(938\) | −475.178 | + | 15464.0i | −0.0165406 | + | 0.538290i | ||||
\(939\) | 11604.4 | − | 14559.9i | 0.403296 | − | 0.506012i | ||||
\(940\) | 85.4294 | − | 1388.77i | 0.00296426 | − | 0.0481881i | ||||
\(941\) | 4727.63 | − | 833.609i | 0.163779 | − | 0.0288787i | −0.0911571 | − | 0.995837i | \(-0.529057\pi\) |
0.254936 | + | 0.966958i | \(0.417945\pi\) | |||||||
\(942\) | −21527.2 | − | 7969.62i | −0.744578 | − | 0.275652i | ||||
\(943\) | −3938.83 | + | 4694.12i | −0.136019 | + | 0.162101i | ||||
\(944\) | 21733.4 | − | 14092.2i | 0.749323 | − | 0.485870i | ||||
\(945\) | 13355.1 | + | 6417.44i | 0.459726 | + | 0.220910i | ||||
\(946\) | −1558.47 | − | 10761.8i | −0.0535625 | − | 0.369871i | ||||
\(947\) | −10611.9 | − | 8904.47i | −0.364141 | − | 0.305550i | 0.442298 | − | 0.896868i | \(-0.354163\pi\) |
−0.806439 | + | 0.591318i | \(0.798608\pi\) | |||||||
\(948\) | 44008.0 | − | 14235.2i | 1.50771 | − | 0.487699i | ||||
\(949\) | 8842.90 | + | 50150.6i | 0.302479 | + | 1.71544i | ||||
\(950\) | 3743.06 | − | 17979.7i | 0.127833 | − | 0.614039i | ||||
\(951\) | −4443.30 | + | 1745.33i | −0.151508 | + | 0.0595121i | ||||
\(952\) | 1193.14 | + | 4541.54i | 0.0406195 | + | 0.154614i | ||||
\(953\) | 679.557 | + | 392.343i | 0.0230987 | + | 0.0133360i | 0.511505 | − | 0.859280i | \(-0.329088\pi\) |
−0.488406 | + | 0.872616i | \(0.662422\pi\) | |||||||
\(954\) | −23140.1 | − | 38314.8i | −0.785312 | − | 1.30030i | ||||
\(955\) | 9455.77 | − | 5459.29i | 0.320400 | − | 0.184983i | ||||
\(956\) | 15719.2 | − | 11623.1i | 0.531796 | − | 0.393220i | ||||
\(957\) | 8213.47 | + | 40570.3i | 0.277434 | + | 1.37038i | ||||
\(958\) | −2423.99 | + | 2714.89i | −0.0817489 | + | 0.0915596i | ||||
\(959\) | −2610.49 | + | 2190.46i | −0.0879011 | + | 0.0737578i | ||||
\(960\) | 639.671 | + | 41426.0i | 0.0215055 | + | 1.39273i | ||||
\(961\) | −10542.7 | + | 3837.25i | −0.353890 | + | 0.128806i | ||||
\(962\) | 29011.1 | + | 36813.7i | 0.972305 | + | 1.23381i | ||||
\(963\) | 17618.6 | − | 34414.6i | 0.589566 | − | 1.15160i | ||||
\(964\) | 207.823 | − | 864.312i | 0.00694350 | − | 0.0288772i | ||||
\(965\) | −21306.1 | − | 3756.84i | −0.710744 | − | 0.125323i | ||||
\(966\) | 51.1679 | − | 9301.91i | 0.00170424 | − | 0.309818i | ||||
\(967\) | −7443.38 | + | 20450.5i | −0.247532 | + | 0.680088i | 0.752244 | + | 0.658885i | \(0.228972\pi\) |
−0.999775 | + | 0.0212024i | \(0.993251\pi\) | |||||||
\(968\) | −1410.03 | − | 2034.84i | −0.0468184 | − | 0.0675643i | ||||
\(969\) | −7494.87 | + | 4582.94i | −0.248472 | + | 0.151935i | ||||
\(970\) | 22957.9 | − | 37085.1i | 0.759933 | − | 1.22756i | ||||
\(971\) | −8900.57 | −0.294164 | −0.147082 | − | 0.989124i | \(-0.546988\pi\) | ||||
−0.147082 | + | 0.989124i | \(0.546988\pi\) | |||||||
\(972\) | −1957.83 | − | 30240.7i | −0.0646066 | − | 0.997911i | ||||
\(973\) | −8322.06 | −0.274196 | ||||||||
\(974\) | −6722.69 | + | 10859.5i | −0.221159 | + | 0.357249i | ||||
\(975\) | 39509.7 | − | 24159.3i | 1.29777 | − | 0.793556i | ||||
\(976\) | −30793.1 | − | 33068.0i | −1.00990 | − | 1.08451i | ||||
\(977\) | 2476.56 | − | 6804.30i | 0.0810975 | − | 0.222814i | −0.892517 | − | 0.451015i | \(-0.851062\pi\) |
0.973614 | + | 0.228201i | \(0.0732844\pi\) | |||||||
\(978\) | 135.723 | − | 24673.4i | 0.00443757 | − | 0.806715i | ||||
\(979\) | 29064.9 | + | 5124.93i | 0.948844 | + | 0.167307i | ||||
\(980\) | −35977.1 | − | 8650.68i | −1.17270 | − | 0.281975i | ||||
\(981\) | 10852.4 | − | 21198.2i | 0.353202 | − | 0.689913i | ||||
\(982\) | 38024.5 | + | 48251.2i | 1.23565 | + | 1.56798i | ||||
\(983\) | 11311.7 | − | 4117.13i | 0.367027 | − | 0.133587i | −0.151921 | − | 0.988393i | \(-0.548546\pi\) |
0.518948 | + | 0.854806i | \(0.326324\pi\) | |||||||
\(984\) | −3119.63 | + | 7061.37i | −0.101067 | + | 0.228769i | ||||
\(985\) | 18831.9 | − | 15801.8i | 0.609171 | − | 0.511155i | ||||
\(986\) | 13138.1 | − | 14714.8i | 0.424344 | − | 0.475270i | ||||
\(987\) | 78.0920 | + | 385.734i | 0.00251844 | + | 0.0124398i | ||||
\(988\) | −19929.7 | − | 26953.2i | −0.641751 | − | 0.867912i | ||||
\(989\) | 8890.53 | − | 5132.95i | 0.285847 | − | 0.165034i | ||||
\(990\) | −21489.0 | − | 35581.0i | −0.689864 | − | 1.14226i | ||||
\(991\) | −32233.8 | − | 18610.2i | −1.03324 | − | 0.596541i | −0.115328 | − | 0.993327i | \(-0.536792\pi\) |
−0.917911 | + | 0.396786i | \(0.870125\pi\) | |||||||
\(992\) | −21101.0 | + | 12779.1i | −0.675359 | + | 0.409009i | ||||
\(993\) | 19924.7 | − | 7826.41i | 0.636748 | − | 0.250114i | ||||
\(994\) | 4114.59 | − | 19764.3i | 0.131295 | − | 0.630669i | ||||
\(995\) | 3119.30 | + | 17690.5i | 0.0993855 | + | 0.563643i | ||||
\(996\) | 9015.40 | + | 27871.0i | 0.286811 | + | 0.886672i | ||||
\(997\) | −8654.75 | − | 7262.20i | −0.274924 | − | 0.230688i | 0.494892 | − | 0.868954i | \(-0.335208\pi\) |
−0.769816 | + | 0.638266i | \(0.779652\pi\) | |||||||
\(998\) | −803.196 | − | 5546.39i | −0.0254757 | − | 0.175920i | ||||
\(999\) | −25314.4 | + | 17290.7i | −0.801715 | + | 0.547602i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 108.4.l.a.11.45 | yes | 312 | |
4.3 | odd | 2 | inner | 108.4.l.a.11.15 | ✓ | 312 | |
27.5 | odd | 18 | inner | 108.4.l.a.59.15 | yes | 312 | |
108.59 | even | 18 | inner | 108.4.l.a.59.45 | yes | 312 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
108.4.l.a.11.15 | ✓ | 312 | 4.3 | odd | 2 | inner | |
108.4.l.a.11.45 | yes | 312 | 1.1 | even | 1 | trivial | |
108.4.l.a.59.15 | yes | 312 | 27.5 | odd | 18 | inner | |
108.4.l.a.59.45 | yes | 312 | 108.59 | even | 18 | inner |