Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [38,4,Mod(5,38)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(38, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("38.5");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 38 = 2 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 38.e (of order \(9\), 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: | \(2.24207258022\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} + 165 x^{16} - 56 x^{15} + 18435 x^{14} - 11748 x^{13} + 1092662 x^{12} - 1833567 x^{11} + \cdots + 3892796082289 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 3^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 25.1 | ||
Root | \(2.89395 + 5.01246i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 38.25 |
Dual form | 38.4.e.b.35.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).
\(n\) | \(21\) |
\(\chi(n)\) | \(e\left(\frac{7}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.53209 | + | 1.28558i | −0.541675 | + | 0.454519i | ||||
\(3\) | −3.05945 | − | 1.11355i | −0.588792 | − | 0.214303i | 0.0304061 | − | 0.999538i | \(-0.490320\pi\) |
−0.619198 | + | 0.785235i | \(0.712542\pi\) | |||||||
\(4\) | 0.694593 | − | 3.93923i | 0.0868241 | − | 0.492404i | ||||
\(5\) | −1.91957 | − | 10.8864i | −0.171692 | − | 0.973713i | −0.941893 | − | 0.335912i | \(-0.890955\pi\) |
0.770201 | − | 0.637801i | \(-0.220156\pi\) | |||||||
\(6\) | 6.11891 | − | 2.22710i | 0.416339 | − | 0.151535i | ||||
\(7\) | 9.80910 | − | 16.9899i | 0.529641 | − | 0.917366i | −0.469761 | − | 0.882794i | \(-0.655660\pi\) |
0.999402 | − | 0.0345722i | \(-0.0110069\pi\) | |||||||
\(8\) | 4.00000 | + | 6.92820i | 0.176777 | + | 0.306186i | ||||
\(9\) | −12.5629 | − | 10.5416i | −0.465294 | − | 0.390428i | ||||
\(10\) | 16.9363 | + | 14.2112i | 0.535573 | + | 0.449399i | ||||
\(11\) | −6.14803 | − | 10.6487i | −0.168518 | − | 0.291882i | 0.769381 | − | 0.638790i | \(-0.220565\pi\) |
−0.937899 | + | 0.346908i | \(0.887232\pi\) | |||||||
\(12\) | −6.51160 | + | 11.2784i | −0.156645 | + | 0.271317i | ||||
\(13\) | −6.72390 | + | 2.44730i | −0.143452 | + | 0.0522122i | −0.412748 | − | 0.910845i | \(-0.635431\pi\) |
0.269296 | + | 0.963057i | \(0.413209\pi\) | |||||||
\(14\) | 6.81333 | + | 38.6403i | 0.130067 | + | 0.737647i | ||||
\(15\) | −6.24975 | + | 35.4441i | −0.107579 | + | 0.610109i | ||||
\(16\) | −15.0351 | − | 5.47232i | −0.234923 | − | 0.0855050i | ||||
\(17\) | −69.7004 | + | 58.4856i | −0.994401 | + | 0.834402i | −0.986199 | − | 0.165565i | \(-0.947055\pi\) |
−0.00820237 | + | 0.999966i | \(0.502611\pi\) | |||||||
\(18\) | 32.7995 | 0.429496 | ||||||||
\(19\) | 82.6923 | + | 4.58044i | 0.998469 | + | 0.0553066i | ||||
\(20\) | −44.2176 | −0.494367 | ||||||||
\(21\) | −48.9295 | + | 41.0567i | −0.508443 | + | 0.426634i | ||||
\(22\) | 23.1090 | + | 8.41100i | 0.223948 | + | 0.0815105i | ||||
\(23\) | 16.6886 | − | 94.6457i | 0.151296 | − | 0.858043i | −0.810798 | − | 0.585326i | \(-0.800967\pi\) |
0.962094 | − | 0.272717i | \(-0.0879223\pi\) | |||||||
\(24\) | −4.52291 | − | 25.6507i | −0.0384681 | − | 0.218164i | ||||
\(25\) | 2.63162 | − | 0.957832i | 0.0210530 | − | 0.00766266i | ||||
\(26\) | 7.15543 | − | 12.3936i | 0.0539729 | − | 0.0934838i | ||||
\(27\) | 70.6505 | + | 122.370i | 0.503581 | + | 0.872228i | ||||
\(28\) | −60.1136 | − | 50.4413i | −0.405729 | − | 0.340447i | ||||
\(29\) | 34.5111 | + | 28.9583i | 0.220985 | + | 0.185428i | 0.746558 | − | 0.665320i | \(-0.231705\pi\) |
−0.525574 | + | 0.850748i | \(0.676149\pi\) | |||||||
\(30\) | −35.9909 | − | 62.3381i | −0.219034 | − | 0.379377i | ||||
\(31\) | 146.443 | − | 253.646i | 0.848448 | − | 1.46956i | −0.0341443 | − | 0.999417i | \(-0.510871\pi\) |
0.882593 | − | 0.470139i | \(-0.155796\pi\) | |||||||
\(32\) | 30.0702 | − | 10.9446i | 0.166116 | − | 0.0604612i | ||||
\(33\) | 6.95175 | + | 39.4253i | 0.0366710 | + | 0.207972i | ||||
\(34\) | 31.5996 | − | 179.210i | 0.159391 | − | 0.903950i | ||||
\(35\) | −203.788 | − | 74.1729i | −0.984187 | − | 0.358215i | ||||
\(36\) | −50.2518 | + | 42.1662i | −0.232647 | + | 0.195214i | ||||
\(37\) | 161.550 | 0.717803 | 0.358902 | − | 0.933375i | \(-0.383151\pi\) | ||||
0.358902 | + | 0.933375i | \(0.383151\pi\) | |||||||
\(38\) | −132.580 | + | 99.2896i | −0.565984 | + | 0.423866i | ||||
\(39\) | 23.2967 | 0.0956526 | ||||||||
\(40\) | 67.7452 | − | 56.8450i | 0.267786 | − | 0.224700i | ||||
\(41\) | −307.571 | − | 111.947i | −1.17157 | − | 0.426417i | −0.318354 | − | 0.947972i | \(-0.603130\pi\) |
−0.853218 | + | 0.521554i | \(0.825352\pi\) | |||||||
\(42\) | 22.1828 | − | 125.805i | 0.0814973 | − | 0.462194i | ||||
\(43\) | 40.5783 | + | 230.131i | 0.143910 | + | 0.816154i | 0.968236 | + | 0.250039i | \(0.0804433\pi\) |
−0.824326 | + | 0.566116i | \(0.808446\pi\) | |||||||
\(44\) | −46.2181 | + | 16.8220i | −0.158355 | + | 0.0576366i | ||||
\(45\) | −90.6446 | + | 157.001i | −0.300278 | + | 0.520097i | ||||
\(46\) | 96.1058 | + | 166.460i | 0.308044 | + | 0.533548i | ||||
\(47\) | 242.311 | + | 203.323i | 0.752016 | + | 0.631016i | 0.936035 | − | 0.351907i | \(-0.114467\pi\) |
−0.184020 | + | 0.982923i | \(0.558911\pi\) | |||||||
\(48\) | 39.9054 | + | 33.4846i | 0.119997 | + | 0.100689i | ||||
\(49\) | −20.9368 | − | 36.2636i | −0.0610402 | − | 0.105725i | ||||
\(50\) | −2.80051 | + | 4.85063i | −0.00792105 | + | 0.0137197i | ||||
\(51\) | 278.372 | − | 101.319i | 0.764310 | − | 0.278186i | ||||
\(52\) | 4.97011 | + | 28.1869i | 0.0132544 | + | 0.0751696i | ||||
\(53\) | −92.6474 | + | 525.430i | −0.240115 | + | 1.36176i | 0.591454 | + | 0.806339i | \(0.298554\pi\) |
−0.831569 | + | 0.555422i | \(0.812557\pi\) | |||||||
\(54\) | −265.559 | − | 96.6556i | −0.669222 | − | 0.243577i | ||||
\(55\) | −104.125 | + | 87.3712i | −0.255276 | + | 0.214202i | ||||
\(56\) | 156.946 | 0.374513 | ||||||||
\(57\) | −247.893 | − | 106.096i | −0.576038 | − | 0.246539i | ||||
\(58\) | −90.1021 | −0.203982 | ||||||||
\(59\) | 226.705 | − | 190.228i | 0.500246 | − | 0.419757i | −0.357435 | − | 0.933938i | \(-0.616349\pi\) |
0.857681 | + | 0.514181i | \(0.171904\pi\) | |||||||
\(60\) | 135.282 | + | 49.2384i | 0.291079 | + | 0.105944i | ||||
\(61\) | 147.622 | − | 837.205i | 0.309853 | − | 1.75726i | −0.289880 | − | 0.957063i | \(-0.593615\pi\) |
0.599733 | − | 0.800200i | \(-0.295274\pi\) | |||||||
\(62\) | 101.718 | + | 576.872i | 0.208358 | + | 1.18166i | ||||
\(63\) | −302.331 | + | 110.039i | −0.604605 | + | 0.220058i | ||||
\(64\) | −32.0000 | + | 55.4256i | −0.0625000 | + | 0.108253i | ||||
\(65\) | 39.5494 | + | 68.5016i | 0.0754693 | + | 0.130717i | ||||
\(66\) | −61.3349 | − | 51.4661i | −0.114391 | − | 0.0959855i | ||||
\(67\) | 246.069 | + | 206.477i | 0.448689 | + | 0.376494i | 0.838949 | − | 0.544210i | \(-0.183171\pi\) |
−0.390260 | + | 0.920705i | \(0.627615\pi\) | |||||||
\(68\) | 181.975 | + | 315.189i | 0.324525 | + | 0.562093i | ||||
\(69\) | −156.451 | + | 270.980i | −0.272963 | + | 0.472786i | ||||
\(70\) | 407.577 | − | 148.346i | 0.695925 | − | 0.253296i | ||||
\(71\) | −91.0318 | − | 516.267i | −0.152162 | − | 0.862952i | −0.961335 | − | 0.275382i | \(-0.911196\pi\) |
0.809173 | − | 0.587570i | \(-0.199915\pi\) | |||||||
\(72\) | 22.7823 | − | 129.205i | 0.0372906 | − | 0.211485i | ||||
\(73\) | −900.416 | − | 327.725i | −1.44364 | − | 0.525442i | −0.502833 | − | 0.864384i | \(-0.667709\pi\) |
−0.940807 | + | 0.338942i | \(0.889931\pi\) | |||||||
\(74\) | −247.510 | + | 207.685i | −0.388816 | + | 0.326256i | ||||
\(75\) | −9.11792 | −0.0140379 | ||||||||
\(76\) | 75.4809 | − | 322.563i | 0.113924 | − | 0.486848i | ||||
\(77\) | −241.227 | −0.357017 | ||||||||
\(78\) | −35.6925 | + | 29.9496i | −0.0518126 | + | 0.0434760i | ||||
\(79\) | −428.051 | − | 155.798i | −0.609614 | − | 0.221882i | 0.0187201 | − | 0.999825i | \(-0.494041\pi\) |
−0.628335 | + | 0.777943i | \(0.716263\pi\) | |||||||
\(80\) | −30.7132 | + | 174.183i | −0.0429230 | + | 0.243428i | ||||
\(81\) | −2.99623 | − | 16.9924i | −0.00411005 | − | 0.0233092i | ||||
\(82\) | 615.141 | − | 223.893i | 0.828427 | − | 0.301523i | ||||
\(83\) | 567.312 | − | 982.613i | 0.750248 | − | 1.29947i | −0.197455 | − | 0.980312i | \(-0.563268\pi\) |
0.947702 | − | 0.319155i | \(-0.103399\pi\) | |||||||
\(84\) | 127.746 | + | 221.262i | 0.165931 | + | 0.287401i | ||||
\(85\) | 770.495 | + | 646.522i | 0.983199 | + | 0.825002i | ||||
\(86\) | −358.020 | − | 300.414i | −0.448910 | − | 0.376681i | ||||
\(87\) | −73.3386 | − | 127.026i | −0.0903762 | − | 0.156536i | ||||
\(88\) | 49.1842 | − | 85.1896i | 0.0595802 | − | 0.103196i | ||||
\(89\) | 1317.78 | − | 479.631i | 1.56948 | − | 0.571245i | 0.596598 | − | 0.802540i | \(-0.296519\pi\) |
0.972884 | + | 0.231295i | \(0.0742963\pi\) | |||||||
\(90\) | −62.9611 | − | 357.070i | −0.0737409 | − | 0.418206i | ||||
\(91\) | −24.3761 | + | 138.244i | −0.0280804 | + | 0.159252i | ||||
\(92\) | −361.240 | − | 131.480i | −0.409368 | − | 0.148998i | ||||
\(93\) | −730.483 | + | 612.948i | −0.814489 | + | 0.683438i | ||||
\(94\) | −632.630 | −0.694157 | ||||||||
\(95\) | −108.869 | − | 909.018i | −0.117576 | − | 0.981719i | ||||
\(96\) | −104.186 | −0.110765 | ||||||||
\(97\) | 391.024 | − | 328.108i | 0.409304 | − | 0.343446i | −0.414773 | − | 0.909925i | \(-0.636139\pi\) |
0.824077 | + | 0.566478i | \(0.191695\pi\) | |||||||
\(98\) | 78.6966 | + | 28.6432i | 0.0811179 | + | 0.0295245i | ||||
\(99\) | −35.0166 | + | 198.589i | −0.0355485 | + | 0.201605i | ||||
\(100\) | −1.94522 | − | 11.0319i | −0.00194522 | − | 0.0110319i | ||||
\(101\) | −361.611 | + | 131.616i | −0.356254 | + | 0.129666i | −0.513946 | − | 0.857822i | \(-0.671817\pi\) |
0.157692 | + | 0.987488i | \(0.449595\pi\) | |||||||
\(102\) | −296.237 | + | 513.097i | −0.287567 | + | 0.498080i | ||||
\(103\) | 730.022 | + | 1264.44i | 0.698362 | + | 1.20960i | 0.969034 | + | 0.246926i | \(0.0794206\pi\) |
−0.270673 | + | 0.962671i | \(0.587246\pi\) | |||||||
\(104\) | −43.8510 | − | 36.7954i | −0.0413456 | − | 0.0346931i | ||||
\(105\) | 540.886 | + | 453.857i | 0.502715 | + | 0.421828i | ||||
\(106\) | −533.535 | − | 924.110i | −0.488882 | − | 0.846769i | ||||
\(107\) | −703.303 | + | 1218.16i | −0.635429 | + | 1.10059i | 0.350995 | + | 0.936377i | \(0.385843\pi\) |
−0.986424 | + | 0.164218i | \(0.947490\pi\) | |||||||
\(108\) | 531.118 | − | 193.311i | 0.473212 | − | 0.172235i | ||||
\(109\) | 373.866 | + | 2120.30i | 0.328531 | + | 1.86319i | 0.483602 | + | 0.875288i | \(0.339328\pi\) |
−0.155071 | + | 0.987903i | \(0.549561\pi\) | |||||||
\(110\) | 47.2064 | − | 267.721i | 0.0409178 | − | 0.232056i | ||||
\(111\) | −494.256 | − | 179.894i | −0.422637 | − | 0.153827i | ||||
\(112\) | −240.455 | + | 201.765i | −0.202864 | + | 0.170223i | ||||
\(113\) | −292.836 | −0.243785 | −0.121892 | − | 0.992543i | \(-0.538896\pi\) | ||||
−0.121892 | + | 0.992543i | \(0.538896\pi\) | |||||||
\(114\) | 516.188 | − | 156.137i | 0.424082 | − | 0.128277i | ||||
\(115\) | −1062.39 | −0.861464 | ||||||||
\(116\) | 138.044 | − | 115.833i | 0.110492 | − | 0.0927140i | ||||
\(117\) | 110.270 | + | 40.1351i | 0.0871325 | + | 0.0317136i | ||||
\(118\) | −102.780 | + | 582.894i | −0.0801835 | + | 0.454743i | ||||
\(119\) | 309.963 | + | 1757.89i | 0.238776 | + | 1.35416i | ||||
\(120\) | −270.563 | + | 98.4769i | −0.205824 | + | 0.0749139i | ||||
\(121\) | 589.903 | − | 1021.74i | 0.443203 | − | 0.767650i | ||||
\(122\) | 850.120 | + | 1472.45i | 0.630871 | + | 1.09270i | ||||
\(123\) | 816.340 | + | 684.990i | 0.598430 | + | 0.502142i | ||||
\(124\) | −897.453 | − | 753.053i | −0.649949 | − | 0.545372i | ||||
\(125\) | −706.378 | − | 1223.48i | −0.505443 | − | 0.875453i | ||||
\(126\) | 321.734 | − | 557.259i | 0.227479 | − | 0.394005i | ||||
\(127\) | −1334.93 | + | 485.876i | −0.932725 | + | 0.339484i | −0.763289 | − | 0.646057i | \(-0.776417\pi\) |
−0.169436 | + | 0.985541i | \(0.554195\pi\) | |||||||
\(128\) | −22.2270 | − | 126.055i | −0.0153485 | − | 0.0870455i | ||||
\(129\) | 132.115 | − | 749.260i | 0.0901710 | − | 0.511385i | ||||
\(130\) | −148.657 | − | 54.1068i | −0.100293 | − | 0.0365037i | ||||
\(131\) | 556.894 | − | 467.289i | 0.371420 | − | 0.311658i | −0.437903 | − | 0.899022i | \(-0.644279\pi\) |
0.809323 | + | 0.587364i | \(0.199834\pi\) | |||||||
\(132\) | 160.134 | 0.105590 | ||||||||
\(133\) | 888.958 | − | 1360.00i | 0.579567 | − | 0.886669i | ||||
\(134\) | −642.441 | −0.414167 | ||||||||
\(135\) | 1196.56 | − | 1004.03i | 0.762840 | − | 0.640098i | ||||
\(136\) | −684.001 | − | 248.956i | −0.431269 | − | 0.156969i | ||||
\(137\) | 432.290 | − | 2451.64i | 0.269584 | − | 1.52889i | −0.486072 | − | 0.873919i | \(-0.661571\pi\) |
0.755656 | − | 0.654968i | \(-0.227318\pi\) | |||||||
\(138\) | −108.669 | − | 616.295i | −0.0670330 | − | 0.380163i | ||||
\(139\) | −1746.44 | + | 635.652i | −1.06569 | + | 0.387880i | −0.814564 | − | 0.580074i | \(-0.803024\pi\) |
−0.251128 | + | 0.967954i | \(0.580801\pi\) | |||||||
\(140\) | −433.734 | + | 751.250i | −0.261837 | + | 0.453516i | ||||
\(141\) | −514.929 | − | 891.884i | −0.307552 | − | 0.532696i | ||||
\(142\) | 803.168 | + | 673.938i | 0.474651 | + | 0.398279i | ||||
\(143\) | 67.3993 | + | 56.5548i | 0.0394141 | + | 0.0330724i | ||||
\(144\) | 131.198 | + | 227.242i | 0.0759248 | + | 0.131506i | ||||
\(145\) | 249.006 | − | 431.291i | 0.142613 | − | 0.247012i | ||||
\(146\) | 1800.83 | − | 655.449i | 1.02081 | − | 0.371544i | ||||
\(147\) | 23.6738 | + | 134.261i | 0.0132829 | + | 0.0753310i | ||||
\(148\) | 112.212 | − | 636.384i | 0.0623226 | − | 0.353449i | ||||
\(149\) | 2496.03 | + | 908.482i | 1.37237 | + | 0.499502i | 0.919856 | − | 0.392256i | \(-0.128305\pi\) |
0.452513 | + | 0.891758i | \(0.350527\pi\) | |||||||
\(150\) | 13.9695 | − | 11.7218i | 0.00760401 | − | 0.00638052i | ||||
\(151\) | −1464.59 | −0.789314 | −0.394657 | − | 0.918828i | \(-0.629137\pi\) | ||||
−0.394657 | + | 0.918828i | \(0.629137\pi\) | |||||||
\(152\) | 299.035 | + | 591.231i | 0.159572 | + | 0.315494i | ||||
\(153\) | 1492.17 | 0.788463 | ||||||||
\(154\) | 369.581 | − | 310.115i | 0.193387 | − | 0.162271i | ||||
\(155\) | −3042.41 | − | 1107.35i | −1.57660 | − | 0.573835i | ||||
\(156\) | 16.1817 | − | 91.7709i | 0.00830495 | − | 0.0470997i | ||||
\(157\) | 456.344 | + | 2588.06i | 0.231976 | + | 1.31560i | 0.848889 | + | 0.528571i | \(0.177272\pi\) |
−0.616913 | + | 0.787031i | \(0.711617\pi\) | |||||||
\(158\) | 856.103 | − | 311.596i | 0.431063 | − | 0.156894i | ||||
\(159\) | 868.543 | − | 1504.36i | 0.433207 | − | 0.750336i | ||||
\(160\) | −176.870 | − | 306.348i | −0.0873926 | − | 0.151368i | ||||
\(161\) | −1444.32 | − | 1211.93i | −0.707007 | − | 0.593249i | ||||
\(162\) | 26.4355 | + | 22.1821i | 0.0128208 | + | 0.0107579i | ||||
\(163\) | −447.193 | − | 774.561i | −0.214889 | − | 0.372198i | 0.738349 | − | 0.674418i | \(-0.235606\pi\) |
−0.953238 | + | 0.302220i | \(0.902272\pi\) | |||||||
\(164\) | −654.620 | + | 1133.83i | −0.311690 | + | 0.539863i | ||||
\(165\) | 415.857 | − | 151.360i | 0.196209 | − | 0.0714142i | ||||
\(166\) | 394.051 | + | 2234.77i | 0.184243 | + | 1.04489i | ||||
\(167\) | −31.1075 | + | 176.419i | −0.0144142 | + | 0.0817469i | −0.991166 | − | 0.132625i | \(-0.957659\pi\) |
0.976752 | + | 0.214372i | \(0.0687705\pi\) | |||||||
\(168\) | −480.168 | − | 174.767i | −0.220510 | − | 0.0802592i | ||||
\(169\) | −1643.78 | + | 1379.29i | −0.748192 | + | 0.627808i | ||||
\(170\) | −2011.62 | −0.907554 | ||||||||
\(171\) | −990.574 | − | 929.250i | −0.442989 | − | 0.415564i | ||||
\(172\) | 934.724 | 0.414372 | ||||||||
\(173\) | −336.235 | + | 282.135i | −0.147766 | + | 0.123990i | −0.713674 | − | 0.700478i | \(-0.752970\pi\) |
0.565908 | + | 0.824468i | \(0.308526\pi\) | |||||||
\(174\) | 275.663 | + | 100.333i | 0.120103 | + | 0.0437140i | ||||
\(175\) | 9.54041 | − | 54.1063i | 0.00412107 | − | 0.0233717i | ||||
\(176\) | 34.1630 | + | 193.748i | 0.0146314 | + | 0.0829791i | ||||
\(177\) | −905.424 | + | 329.547i | −0.384496 | + | 0.139945i | ||||
\(178\) | −1402.35 | + | 2428.94i | −0.590508 | + | 1.02279i | ||||
\(179\) | 431.404 | + | 747.214i | 0.180138 | + | 0.312008i | 0.941927 | − | 0.335817i | \(-0.109012\pi\) |
−0.761790 | + | 0.647825i | \(0.775679\pi\) | |||||||
\(180\) | 555.503 | + | 466.122i | 0.230026 | + | 0.193015i | ||||
\(181\) | 952.904 | + | 799.581i | 0.391319 | + | 0.328356i | 0.817127 | − | 0.576458i | \(-0.195566\pi\) |
−0.425808 | + | 0.904814i | \(0.640010\pi\) | |||||||
\(182\) | −140.377 | − | 243.139i | −0.0571726 | − | 0.0990258i | ||||
\(183\) | −1383.91 | + | 2397.00i | −0.559025 | + | 0.968260i | ||||
\(184\) | 722.479 | − | 262.961i | 0.289467 | − | 0.105357i | ||||
\(185\) | −310.108 | − | 1758.71i | −0.123241 | − | 0.698935i | ||||
\(186\) | 331.174 | − | 1878.18i | 0.130553 | − | 0.740403i | ||||
\(187\) | 1051.32 | + | 382.647i | 0.411122 | + | 0.149636i | ||||
\(188\) | 969.245 | − | 813.293i | 0.376008 | − | 0.315508i | ||||
\(189\) | 2772.07 | 1.06687 | ||||||||
\(190\) | 1335.41 | + | 1252.74i | 0.509899 | + | 0.478332i | ||||
\(191\) | 2765.73 | 1.04775 | 0.523877 | − | 0.851794i | \(-0.324485\pi\) | ||||
0.523877 | + | 0.851794i | \(0.324485\pi\) | |||||||
\(192\) | 159.622 | − | 133.938i | 0.0599984 | − | 0.0503447i | ||||
\(193\) | 382.098 | + | 139.072i | 0.142508 | + | 0.0518686i | 0.412289 | − | 0.911053i | \(-0.364729\pi\) |
−0.269782 | + | 0.962922i | \(0.586951\pi\) | |||||||
\(194\) | −177.276 | + | 1005.38i | −0.0656065 | + | 0.372073i | ||||
\(195\) | −44.7197 | − | 253.618i | −0.0164228 | − | 0.0931382i | ||||
\(196\) | −157.393 | + | 57.2864i | −0.0573590 | + | 0.0208770i | ||||
\(197\) | −1648.82 | + | 2855.83i | −0.596311 | + | 1.03284i | 0.397049 | + | 0.917797i | \(0.370034\pi\) |
−0.993360 | + | 0.115044i | \(0.963299\pi\) | |||||||
\(198\) | −201.652 | − | 349.272i | −0.0723778 | − | 0.125362i | ||||
\(199\) | −363.185 | − | 304.748i | −0.129374 | − | 0.108558i | 0.575805 | − | 0.817587i | \(-0.304689\pi\) |
−0.705179 | + | 0.709029i | \(0.749133\pi\) | |||||||
\(200\) | 17.1625 | + | 14.4011i | 0.00606787 | + | 0.00509155i | ||||
\(201\) | −522.915 | − | 905.715i | −0.183500 | − | 0.317832i | ||||
\(202\) | 384.819 | − | 666.525i | 0.134038 | − | 0.232161i | ||||
\(203\) | 830.519 | − | 302.284i | 0.287148 | − | 0.104513i | ||||
\(204\) | −205.764 | − | 1166.95i | −0.0706194 | − | 0.400503i | ||||
\(205\) | −628.295 | + | 3563.24i | −0.214059 | + | 1.21399i | ||||
\(206\) | −2743.99 | − | 998.730i | −0.928071 | − | 0.337790i | ||||
\(207\) | −1207.37 | + | 1013.10i | −0.405401 | + | 0.340172i | ||||
\(208\) | 114.487 | 0.0381646 | ||||||||
\(209\) | −459.619 | − | 908.727i | −0.152117 | − | 0.300756i | ||||
\(210\) | −1412.15 | −0.464037 | ||||||||
\(211\) | 111.558 | − | 93.6087i | 0.0363981 | − | 0.0305416i | −0.624407 | − | 0.781099i | \(-0.714659\pi\) |
0.660805 | + | 0.750557i | \(0.270215\pi\) | |||||||
\(212\) | 2005.44 | + | 729.919i | 0.649689 | + | 0.236467i | ||||
\(213\) | −296.381 | + | 1680.86i | −0.0953414 | + | 0.540708i | ||||
\(214\) | −488.509 | − | 2770.47i | −0.156046 | − | 0.884980i | ||||
\(215\) | 2427.41 | − | 883.507i | 0.769992 | − | 0.280254i | ||||
\(216\) | −565.204 | + | 978.962i | −0.178043 | + | 0.308379i | ||||
\(217\) | −2872.94 | − | 4976.08i | −0.898747 | − | 1.55668i | ||||
\(218\) | −3298.60 | − | 2767.85i | −1.02481 | − | 0.859921i | ||||
\(219\) | 2389.84 | + | 2005.32i | 0.737400 | + | 0.618752i | ||||
\(220\) | 271.851 | + | 470.860i | 0.0833099 | + | 0.144297i | ||||
\(221\) | 325.527 | − | 563.829i | 0.0990828 | − | 0.171616i | ||||
\(222\) | 988.512 | − | 359.789i | 0.298849 | − | 0.108772i | ||||
\(223\) | −216.285 | − | 1226.61i | −0.0649484 | − | 0.368341i | −0.999908 | − | 0.0135857i | \(-0.995675\pi\) |
0.934959 | − | 0.354755i | \(-0.115436\pi\) | |||||||
\(224\) | 109.013 | − | 618.245i | 0.0325168 | − | 0.184412i | ||||
\(225\) | −43.1580 | − | 15.7082i | −0.0127875 | − | 0.00465428i | ||||
\(226\) | 448.651 | − | 376.463i | 0.132052 | − | 0.110805i | ||||
\(227\) | 1377.67 | 0.402815 | 0.201408 | − | 0.979508i | \(-0.435448\pi\) | ||||
0.201408 | + | 0.979508i | \(0.435448\pi\) | |||||||
\(228\) | −590.120 | + | 902.813i | −0.171411 | + | 0.262238i | ||||
\(229\) | 1561.79 | 0.450680 | 0.225340 | − | 0.974280i | \(-0.427651\pi\) | ||||
0.225340 | + | 0.974280i | \(0.427651\pi\) | |||||||
\(230\) | 1627.68 | − | 1365.78i | 0.466634 | − | 0.391552i | ||||
\(231\) | 738.021 | + | 268.618i | 0.210209 | + | 0.0765097i | ||||
\(232\) | −62.5843 | + | 354.933i | −0.0177106 | + | 0.100442i | ||||
\(233\) | −351.013 | − | 1990.69i | −0.0986936 | − | 0.559719i | −0.993553 | − | 0.113371i | \(-0.963835\pi\) |
0.894859 | − | 0.446349i | \(-0.147276\pi\) | |||||||
\(234\) | −220.541 | + | 80.2703i | −0.0616120 | + | 0.0224249i | ||||
\(235\) | 1748.33 | − | 3028.20i | 0.485314 | − | 0.840588i | ||||
\(236\) | −591.886 | − | 1025.18i | −0.163256 | − | 0.282768i | ||||
\(237\) | 1136.11 | + | 953.313i | 0.311386 | + | 0.261284i | ||||
\(238\) | −2734.79 | − | 2294.76i | −0.744833 | − | 0.624989i | ||||
\(239\) | 2077.06 | + | 3597.58i | 0.562151 | + | 0.973674i | 0.997308 | + | 0.0733198i | \(0.0233594\pi\) |
−0.435157 | + | 0.900354i | \(0.643307\pi\) | |||||||
\(240\) | 287.927 | − | 498.704i | 0.0774401 | − | 0.134130i | ||||
\(241\) | −4271.89 | + | 1554.84i | −1.14181 | + | 0.415586i | −0.842568 | − | 0.538590i | \(-0.818957\pi\) |
−0.299245 | + | 0.954176i | \(0.596735\pi\) | |||||||
\(242\) | 409.743 | + | 2323.77i | 0.108840 | + | 0.617262i | ||||
\(243\) | 652.735 | − | 3701.84i | 0.172317 | − | 0.977256i | ||||
\(244\) | −3195.41 | − | 1163.03i | −0.838381 | − | 0.305146i | ||||
\(245\) | −354.592 | + | 297.538i | −0.0924655 | + | 0.0775878i | ||||
\(246\) | −2131.31 | −0.552388 | ||||||||
\(247\) | −567.225 | + | 171.575i | −0.146120 | + | 0.0441985i | ||||
\(248\) | 2343.08 | 0.599944 | ||||||||
\(249\) | −2829.85 | + | 2374.53i | −0.720219 | + | 0.604336i | ||||
\(250\) | 2655.11 | + | 966.382i | 0.671697 | + | 0.244478i | ||||
\(251\) | −433.801 | + | 2460.21i | −0.109089 | + | 0.618673i | 0.880419 | + | 0.474196i | \(0.157261\pi\) |
−0.989508 | + | 0.144477i | \(0.953850\pi\) | |||||||
\(252\) | 223.474 | + | 1267.38i | 0.0558632 | + | 0.316816i | ||||
\(253\) | −1110.46 | + | 404.173i | −0.275944 | + | 0.100435i | ||||
\(254\) | 1420.61 | − | 2460.56i | 0.350932 | − | 0.607832i | ||||
\(255\) | −1637.36 | − | 2835.99i | −0.402099 | − | 0.696457i | ||||
\(256\) | 196.107 | + | 164.554i | 0.0478778 | + | 0.0401742i | ||||
\(257\) | 383.423 | + | 321.730i | 0.0930634 | + | 0.0780894i | 0.688132 | − | 0.725585i | \(-0.258431\pi\) |
−0.595069 | + | 0.803675i | \(0.702875\pi\) | |||||||
\(258\) | 760.819 | + | 1317.78i | 0.183591 | + | 0.317989i | ||||
\(259\) | 1584.66 | − | 2744.72i | 0.380178 | − | 0.658488i | ||||
\(260\) | 297.315 | − | 108.214i | 0.0709179 | − | 0.0258120i | ||||
\(261\) | −128.296 | − | 727.602i | −0.0304265 | − | 0.172557i | ||||
\(262\) | −252.475 | + | 1431.86i | −0.0595342 | + | 0.337635i | ||||
\(263\) | 5753.26 | + | 2094.02i | 1.34890 | + | 0.490961i | 0.912605 | − | 0.408842i | \(-0.134067\pi\) |
0.436298 | + | 0.899802i | \(0.356289\pi\) | |||||||
\(264\) | −245.340 | + | 205.864i | −0.0571955 | + | 0.0479927i | ||||
\(265\) | 5897.91 | 1.36719 | ||||||||
\(266\) | 386.420 | + | 3226.46i | 0.0890712 | + | 0.743711i | ||||
\(267\) | −4565.76 | −1.04652 | ||||||||
\(268\) | 984.277 | − | 825.906i | 0.224344 | − | 0.188247i | ||||
\(269\) | −4403.97 | − | 1602.91i | −0.998196 | − | 0.363314i | −0.209307 | − | 0.977850i | \(-0.567121\pi\) |
−0.788889 | + | 0.614536i | \(0.789343\pi\) | |||||||
\(270\) | −542.476 | + | 3076.53i | −0.122274 | + | 0.693451i | ||||
\(271\) | −483.581 | − | 2742.53i | −0.108397 | − | 0.614747i | −0.989809 | − | 0.142400i | \(-0.954518\pi\) |
0.881413 | − | 0.472347i | \(-0.156593\pi\) | |||||||
\(272\) | 1368.00 | − | 497.912i | 0.304953 | − | 0.110994i | ||||
\(273\) | 228.519 | − | 395.807i | 0.0506616 | − | 0.0877484i | ||||
\(274\) | 2489.46 | + | 4311.87i | 0.548882 | + | 0.950691i | ||||
\(275\) | −26.3790 | − | 22.1346i | −0.00578440 | − | 0.00485369i | ||||
\(276\) | 958.785 | + | 804.516i | 0.209102 | + | 0.175457i | ||||
\(277\) | −264.169 | − | 457.554i | −0.0573009 | − | 0.0992482i | 0.835952 | − | 0.548803i | \(-0.184916\pi\) |
−0.893253 | + | 0.449554i | \(0.851583\pi\) | |||||||
\(278\) | 1858.52 | − | 3219.06i | 0.400960 | − | 0.694483i | ||||
\(279\) | −4513.58 | + | 1642.81i | −0.968534 | + | 0.352518i | ||||
\(280\) | −301.269 | − | 1708.58i | −0.0643009 | − | 0.364668i | ||||
\(281\) | −1486.24 | + | 8428.91i | −0.315523 | + | 1.78942i | 0.253750 | + | 0.967270i | \(0.418336\pi\) |
−0.569273 | + | 0.822149i | \(0.692775\pi\) | |||||||
\(282\) | 1935.50 | + | 704.465i | 0.408714 | + | 0.148760i | ||||
\(283\) | 4034.26 | − | 3385.14i | 0.847391 | − | 0.711045i | −0.111823 | − | 0.993728i | \(-0.535669\pi\) |
0.959213 | + | 0.282683i | \(0.0912244\pi\) | |||||||
\(284\) | −2096.92 | −0.438132 | ||||||||
\(285\) | −679.156 | + | 2902.33i | −0.141157 | + | 0.603225i | ||||
\(286\) | −175.967 | −0.0363817 | ||||||||
\(287\) | −4918.95 | + | 4127.49i | −1.01169 | + | 0.848912i | ||||
\(288\) | −493.143 | − | 179.490i | −0.100898 | − | 0.0367240i | ||||
\(289\) | 584.448 | − | 3314.57i | 0.118959 | − | 0.674653i | ||||
\(290\) | 172.958 | + | 980.892i | 0.0350222 | + | 0.198620i | ||||
\(291\) | −1561.68 | + | 568.406i | −0.314596 | + | 0.114504i | ||||
\(292\) | −1916.41 | + | 3319.31i | −0.384072 | + | 0.665233i | ||||
\(293\) | 57.8884 | + | 100.266i | 0.0115422 | + | 0.0199918i | 0.871739 | − | 0.489971i | \(-0.162993\pi\) |
−0.860197 | + | 0.509963i | \(0.829659\pi\) | |||||||
\(294\) | −208.873 | − | 175.265i | −0.0414344 | − | 0.0347676i | ||||
\(295\) | −2506.09 | − | 2102.86i | −0.494611 | − | 0.415028i | ||||
\(296\) | 646.202 | + | 1119.25i | 0.126891 | + | 0.219781i | ||||
\(297\) | 868.723 | − | 1504.67i | 0.169725 | − | 0.293973i | ||||
\(298\) | −4992.07 | + | 1816.96i | −0.970412 | + | 0.353201i | ||||
\(299\) | 119.414 | + | 677.230i | 0.0230966 | + | 0.130987i | ||||
\(300\) | −6.33324 | + | 35.9176i | −0.00121883 | + | 0.00691234i | ||||
\(301\) | 4307.93 | + | 1567.96i | 0.824933 | + | 0.300251i | ||||
\(302\) | 2243.88 | − | 1882.84i | 0.427552 | − | 0.358759i | ||||
\(303\) | 1252.89 | 0.237547 | ||||||||
\(304\) | −1218.22 | − | 521.386i | −0.229835 | − | 0.0983670i | ||||
\(305\) | −9397.55 | −1.76427 | ||||||||
\(306\) | −2286.14 | + | 1918.30i | −0.427091 | + | 0.358372i | ||||
\(307\) | 8518.10 | + | 3100.34i | 1.58356 | + | 0.576370i | 0.975975 | − | 0.217883i | \(-0.0699151\pi\) |
0.607588 | + | 0.794253i | \(0.292137\pi\) | |||||||
\(308\) | −167.554 | + | 950.247i | −0.0309977 | + | 0.175797i | ||||
\(309\) | −825.457 | − | 4681.40i | −0.151970 | − | 0.861862i | ||||
\(310\) | 6084.83 | − | 2214.70i | 1.11482 | − | 0.405762i | ||||
\(311\) | 3174.24 | − | 5497.94i | 0.578760 | − | 1.00244i | −0.416862 | − | 0.908970i | \(-0.636870\pi\) |
0.995622 | − | 0.0934722i | \(-0.0297966\pi\) | |||||||
\(312\) | 93.1866 | + | 161.404i | 0.0169091 | + | 0.0292875i | ||||
\(313\) | 670.299 | + | 562.448i | 0.121046 | + | 0.101570i | 0.701301 | − | 0.712865i | \(-0.252603\pi\) |
−0.580255 | + | 0.814435i | \(0.697047\pi\) | |||||||
\(314\) | −4026.30 | − | 3378.47i | −0.723622 | − | 0.607191i | ||||
\(315\) | 1778.28 | + | 3080.08i | 0.318079 | + | 0.550929i | ||||
\(316\) | −911.046 | + | 1577.98i | −0.162185 | + | 0.280912i | ||||
\(317\) | −5266.65 | + | 1916.90i | −0.933137 | + | 0.339634i | −0.763452 | − | 0.645864i | \(-0.776497\pi\) |
−0.169685 | + | 0.985498i | \(0.554275\pi\) | |||||||
\(318\) | 603.283 | + | 3421.39i | 0.106385 | + | 0.603340i | ||||
\(319\) | 96.1925 | − | 545.535i | 0.0168832 | − | 0.0957495i | ||||
\(320\) | 664.814 | + | 241.973i | 0.116138 | + | 0.0422709i | ||||
\(321\) | 3508.20 | − | 2943.73i | 0.609996 | − | 0.511847i | ||||
\(322\) | 3770.84 | 0.652611 | ||||||||
\(323\) | −6031.57 | + | 4517.05i | −1.03903 | + | 0.778128i | ||||
\(324\) | −69.0183 | −0.0118344 | ||||||||
\(325\) | −15.3507 | + | 12.8807i | −0.00262001 | + | 0.00219845i | ||||
\(326\) | 1680.90 | + | 611.796i | 0.285571 | + | 0.103939i | ||||
\(327\) | 1217.23 | − | 6903.27i | 0.205851 | − | 1.16744i | ||||
\(328\) | −454.694 | − | 2578.70i | −0.0765435 | − | 0.434100i | ||||
\(329\) | 5831.29 | − | 2122.42i | 0.977171 | − | 0.355661i | ||||
\(330\) | −442.546 | + | 766.513i | −0.0738223 | + | 0.127864i | ||||
\(331\) | −839.734 | − | 1454.46i | −0.139444 | − | 0.241524i | 0.787842 | − | 0.615877i | \(-0.211198\pi\) |
−0.927286 | + | 0.374353i | \(0.877865\pi\) | |||||||
\(332\) | −3476.69 | − | 2917.29i | −0.574723 | − | 0.482250i | ||||
\(333\) | −2029.55 | − | 1702.99i | −0.333990 | − | 0.280251i | ||||
\(334\) | −179.141 | − | 310.281i | −0.0293477 | − | 0.0508318i | ||||
\(335\) | 1775.45 | − | 3075.17i | 0.289561 | − | 0.501535i | ||||
\(336\) | 960.335 | − | 349.533i | 0.155924 | − | 0.0567518i | ||||
\(337\) | −1469.20 | − | 8332.26i | −0.237485 | − | 1.34685i | −0.837316 | − | 0.546719i | \(-0.815876\pi\) |
0.599830 | − | 0.800127i | \(-0.295235\pi\) | |||||||
\(338\) | 745.228 | − | 4226.40i | 0.119926 | − | 0.680136i | ||||
\(339\) | 895.918 | + | 326.088i | 0.143539 | + | 0.0522438i | ||||
\(340\) | 3081.98 | − | 2586.09i | 0.491599 | − | 0.412501i | ||||
\(341\) | −3601.34 | −0.571916 | ||||||||
\(342\) | 2712.27 | + | 150.236i | 0.428838 | + | 0.0237539i | ||||
\(343\) | 5907.56 | 0.929965 | ||||||||
\(344\) | −1432.08 | + | 1201.66i | −0.224455 | + | 0.188340i | ||||
\(345\) | 3250.33 | + | 1183.02i | 0.507223 | + | 0.184614i | ||||
\(346\) | 152.437 | − | 864.512i | 0.0236851 | − | 0.134325i | ||||
\(347\) | −746.481 | − | 4233.50i | −0.115485 | − | 0.654946i | −0.986509 | − | 0.163707i | \(-0.947655\pi\) |
0.871024 | − | 0.491240i | \(-0.163456\pi\) | |||||||
\(348\) | −551.326 | + | 200.666i | −0.0849258 | + | 0.0309105i | ||||
\(349\) | −1741.91 | + | 3017.07i | −0.267169 | + | 0.462751i | −0.968130 | − | 0.250449i | \(-0.919422\pi\) |
0.700960 | + | 0.713200i | \(0.252755\pi\) | |||||||
\(350\) | 54.9410 | + | 95.1606i | 0.00839063 | + | 0.0145330i | ||||
\(351\) | −774.524 | − | 649.903i | −0.117781 | − | 0.0988297i | ||||
\(352\) | −301.419 | − | 252.920i | −0.0456411 | − | 0.0382974i | ||||
\(353\) | 1036.43 | + | 1795.14i | 0.156270 | + | 0.270668i | 0.933521 | − | 0.358523i | \(-0.116720\pi\) |
−0.777251 | + | 0.629191i | \(0.783386\pi\) | |||||||
\(354\) | 963.532 | − | 1668.89i | 0.144664 | − | 0.250566i | ||||
\(355\) | −5445.57 | + | 1982.02i | −0.814143 | + | 0.296324i | ||||
\(356\) | −974.060 | − | 5524.17i | −0.145014 | − | 0.822417i | ||||
\(357\) | 1009.18 | − | 5723.34i | 0.149612 | − | 0.848491i | ||||
\(358\) | −1621.55 | − | 590.195i | −0.239390 | − | 0.0871307i | ||||
\(359\) | 100.618 | − | 84.4289i | 0.0147923 | − | 0.0124122i | −0.635361 | − | 0.772215i | \(-0.719149\pi\) |
0.650154 | + | 0.759803i | \(0.274704\pi\) | |||||||
\(360\) | −1450.31 | −0.212329 | ||||||||
\(361\) | 6817.04 | + | 757.534i | 0.993882 | + | 0.110444i | ||||
\(362\) | −2487.86 | −0.361212 | ||||||||
\(363\) | −2942.54 | + | 2469.09i | −0.425464 | + | 0.357007i | ||||
\(364\) | 527.643 | + | 192.046i | 0.0759781 | + | 0.0276538i | ||||
\(365\) | −1839.34 | + | 10431.4i | −0.263769 | + | 1.49591i | ||||
\(366\) | −961.254 | − | 5451.54i | −0.137283 | − | 0.778570i | ||||
\(367\) | −6231.63 | + | 2268.13i | −0.886344 | + | 0.322603i | −0.744767 | − | 0.667324i | \(-0.767439\pi\) |
−0.141577 | + | 0.989927i | \(0.545217\pi\) | |||||||
\(368\) | −768.846 | + | 1331.68i | −0.108910 | + | 0.188638i | ||||
\(369\) | 2683.90 | + | 4648.65i | 0.378640 | + | 0.655824i | ||||
\(370\) | 2736.07 | + | 2295.83i | 0.384436 | + | 0.322580i | ||||
\(371\) | 8018.19 | + | 6728.06i | 1.12206 | + | 0.941519i | ||||
\(372\) | 1907.15 | + | 3303.29i | 0.265810 | + | 0.460397i | ||||
\(373\) | −1394.78 | + | 2415.82i | −0.193616 | + | 0.335353i | −0.946446 | − | 0.322862i | \(-0.895355\pi\) |
0.752830 | + | 0.658215i | \(0.228688\pi\) | |||||||
\(374\) | −2102.63 | + | 765.295i | −0.290707 | + | 0.105809i | ||||
\(375\) | 798.722 | + | 4529.78i | 0.109989 | + | 0.623778i | ||||
\(376\) | −439.420 | + | 2492.08i | −0.0602696 | + | 0.341806i | ||||
\(377\) | −302.919 | − | 110.253i | −0.0413823 | − | 0.0150619i | ||||
\(378\) | −4247.06 | + | 3563.71i | −0.577897 | + | 0.484913i | ||||
\(379\) | −7045.15 | −0.954842 | −0.477421 | − | 0.878675i | \(-0.658428\pi\) | ||||
−0.477421 | + | 0.878675i | \(0.658428\pi\) | |||||||
\(380\) | −3656.45 | − | 202.536i | −0.493611 | − | 0.0273418i | ||||
\(381\) | 4625.21 | 0.621934 | ||||||||
\(382\) | −4237.34 | + | 3555.55i | −0.567542 | + | 0.476225i | ||||
\(383\) | 2553.58 | + | 929.427i | 0.340683 | + | 0.123999i | 0.506696 | − | 0.862125i | \(-0.330867\pi\) |
−0.166012 | + | 0.986124i | \(0.553089\pi\) | |||||||
\(384\) | −72.3666 | + | 410.411i | −0.00961704 | + | 0.0545409i | ||||
\(385\) | 463.052 | + | 2626.10i | 0.0612970 | + | 0.347632i | ||||
\(386\) | −764.196 | + | 278.145i | −0.100768 | + | 0.0366767i | ||||
\(387\) | 1916.16 | − | 3318.88i | 0.251689 | − | 0.435938i | ||||
\(388\) | −1020.89 | − | 1768.23i | −0.133577 | − | 0.231362i | ||||
\(389\) | −892.555 | − | 748.943i | −0.116335 | − | 0.0976167i | 0.582764 | − | 0.812641i | \(-0.301971\pi\) |
−0.699099 | + | 0.715024i | \(0.746416\pi\) | |||||||
\(390\) | 394.559 | + | 331.074i | 0.0512289 | + | 0.0429862i | ||||
\(391\) | 4372.21 | + | 7572.88i | 0.565504 | + | 0.979481i | ||||
\(392\) | 167.494 | − | 290.109i | 0.0215810 | − | 0.0373793i | ||||
\(393\) | −2224.14 | + | 809.520i | −0.285478 | + | 0.103906i | ||||
\(394\) | −1145.26 | − | 6495.07i | −0.146439 | − | 0.830499i | ||||
\(395\) | −874.410 | + | 4959.02i | −0.111383 | + | 0.631685i | ||||
\(396\) | 757.965 | + | 275.877i | 0.0961848 | + | 0.0350084i | ||||
\(397\) | 9422.84 | − | 7906.70i | 1.19123 | − | 0.999562i | 0.191394 | − | 0.981513i | \(-0.438699\pi\) |
0.999837 | − | 0.0180487i | \(-0.00574538\pi\) | |||||||
\(398\) | 948.208 | 0.119420 | ||||||||
\(399\) | −4234.15 | + | 3170.96i | −0.531260 | + | 0.397861i | ||||
\(400\) | −44.8082 | −0.00560103 | ||||||||
\(401\) | −5702.54 | + | 4785.00i | −0.710153 | + | 0.595889i | −0.924642 | − | 0.380837i | \(-0.875636\pi\) |
0.214489 | + | 0.976726i | \(0.431191\pi\) | |||||||
\(402\) | 1965.52 | + | 715.390i | 0.243858 | + | 0.0887572i | ||||
\(403\) | −363.918 | + | 2063.88i | −0.0449828 | + | 0.255110i | ||||
\(404\) | 267.292 | + | 1515.89i | 0.0329165 | + | 0.186679i | ||||
\(405\) | −179.236 | + | 65.2365i | −0.0219909 | + | 0.00800402i | ||||
\(406\) | −883.820 | + | 1530.82i | −0.108038 | + | 0.187127i | ||||
\(407\) | −993.217 | − | 1720.30i | −0.120963 | − | 0.209514i | ||||
\(408\) | 1815.44 | + | 1523.34i | 0.220289 | + | 0.184844i | ||||
\(409\) | 1029.23 | + | 863.628i | 0.124431 | + | 0.104410i | 0.702880 | − | 0.711309i | \(-0.251897\pi\) |
−0.578449 | + | 0.815719i | \(0.696342\pi\) | |||||||
\(410\) | −3618.21 | − | 6266.92i | −0.435831 | − | 0.754881i | ||||
\(411\) | −4052.59 | + | 7019.29i | −0.486374 | + | 0.842424i | ||||
\(412\) | 5487.97 | − | 1997.46i | 0.656245 | − | 0.238854i | ||||
\(413\) | −1008.18 | − | 5717.66i | −0.120119 | − | 0.681230i | ||||
\(414\) | 547.378 | − | 3104.33i | 0.0649810 | − | 0.368526i | ||||
\(415\) | −11786.2 | − | 4289.81i | −1.39412 | − | 0.507418i | ||||
\(416\) | −175.404 | + | 147.181i | −0.0206728 | + | 0.0173465i | ||||
\(417\) | 6050.98 | 0.710595 | ||||||||
\(418\) | 1872.41 | + | 801.375i | 0.219097 | + | 0.0937716i | ||||
\(419\) | 15619.7 | 1.82117 | 0.910586 | − | 0.413320i | \(-0.135631\pi\) | ||||
0.910586 | + | 0.413320i | \(0.135631\pi\) | |||||||
\(420\) | 2163.54 | − | 1815.43i | 0.251357 | − | 0.210914i | ||||
\(421\) | 4980.50 | + | 1812.75i | 0.576567 | + | 0.209853i | 0.613811 | − | 0.789453i | \(-0.289636\pi\) |
−0.0372441 | + | 0.999306i | \(0.511858\pi\) | |||||||
\(422\) | −50.5765 | + | 286.834i | −0.00583418 | + | 0.0330873i | ||||
\(423\) | −900.798 | − | 5108.68i | −0.103542 | − | 0.587216i | ||||
\(424\) | −4010.87 | + | 1459.84i | −0.459399 | + | 0.167208i | ||||
\(425\) | −127.406 | + | 220.673i | −0.0145414 | + | 0.0251864i | ||||
\(426\) | −1706.79 | − | 2956.25i | −0.194118 | − | 0.336223i | ||||
\(427\) | −12775.9 | − | 10720.3i | −1.44794 | − | 1.21497i | ||||
\(428\) | 4310.09 | + | 3616.60i | 0.486767 | + | 0.408446i | ||||
\(429\) | −143.229 | − | 248.079i | −0.0161192 | − | 0.0279193i | ||||
\(430\) | −2583.20 | + | 4474.23i | −0.289705 | + | 0.501783i | ||||
\(431\) | −3066.44 | + | 1116.09i | −0.342704 | + | 0.124734i | −0.507638 | − | 0.861571i | \(-0.669481\pi\) |
0.164934 | + | 0.986305i | \(0.447259\pi\) | |||||||
\(432\) | −392.587 | − | 2226.47i | −0.0437230 | − | 0.247965i | ||||
\(433\) | −1516.58 | + | 8600.95i | −0.168319 | + | 0.954585i | 0.777257 | + | 0.629183i | \(0.216611\pi\) |
−0.945576 | + | 0.325401i | \(0.894501\pi\) | |||||||
\(434\) | 10798.7 | + | 3930.42i | 1.19437 | + | 0.434714i | ||||
\(435\) | −1242.09 | + | 1042.23i | −0.136904 | + | 0.114876i | ||||
\(436\) | 8612.03 | 0.945967 | ||||||||
\(437\) | 1813.54 | − | 7750.03i | 0.198520 | − | 0.848362i | ||||
\(438\) | −6239.44 | −0.680666 | ||||||||
\(439\) | 10287.9 | − | 8632.61i | 1.11849 | − | 0.938524i | 0.119962 | − | 0.992779i | \(-0.461723\pi\) |
0.998527 | + | 0.0542548i | \(0.0172783\pi\) | |||||||
\(440\) | −1021.83 | − | 371.914i | −0.110713 | − | 0.0402961i | ||||
\(441\) | −119.247 | + | 676.284i | −0.0128763 | + | 0.0730249i | ||||
\(442\) | 226.109 | + | 1282.33i | 0.0243323 | + | 0.137995i | ||||
\(443\) | 4967.60 | − | 1808.06i | 0.532772 | − | 0.193913i | −0.0616036 | − | 0.998101i | \(-0.519621\pi\) |
0.594376 | + | 0.804188i | \(0.297399\pi\) | |||||||
\(444\) | −1051.95 | + | 1822.03i | −0.112440 | + | 0.194752i | ||||
\(445\) | −7751.04 | − | 13425.2i | −0.825696 | − | 1.43015i | ||||
\(446\) | 1908.27 | + | 1601.23i | 0.202599 | + | 0.170001i | ||||
\(447\) | −6624.86 | − | 5558.92i | −0.700996 | − | 0.588205i | ||||
\(448\) | 627.782 | + | 1087.35i | 0.0662052 | + | 0.114671i | ||||
\(449\) | 5163.23 | − | 8942.98i | 0.542690 | − | 0.939967i | −0.456058 | − | 0.889950i | \(-0.650739\pi\) |
0.998748 | − | 0.0500170i | \(-0.0159276\pi\) | |||||||
\(450\) | 86.3159 | − | 31.4164i | 0.00904216 | − | 0.00329108i | ||||
\(451\) | 698.868 | + | 3963.48i | 0.0729677 | + | 0.413820i | ||||
\(452\) | −203.402 | + | 1153.55i | −0.0211664 | + | 0.120041i | ||||
\(453\) | 4480.84 | + | 1630.89i | 0.464742 | + | 0.169152i | ||||
\(454\) | −2110.71 | + | 1771.10i | −0.218195 | + | 0.183087i | ||||
\(455\) | 1551.78 | 0.159887 | ||||||||
\(456\) | −256.519 | − | 2141.83i | −0.0263434 | − | 0.219957i | ||||
\(457\) | −9788.28 | −1.00192 | −0.500959 | − | 0.865471i | \(-0.667019\pi\) | ||||
−0.500959 | + | 0.865471i | \(0.667019\pi\) | |||||||
\(458\) | −2392.80 | + | 2007.79i | −0.244122 | + | 0.204843i | ||||
\(459\) | −12081.3 | − | 4397.22i | −1.22855 | − | 0.447156i | ||||
\(460\) | −737.929 | + | 4185.00i | −0.0747959 | + | 0.424188i | ||||
\(461\) | −471.077 | − | 2671.61i | −0.0475927 | − | 0.269912i | 0.951721 | − | 0.306966i | \(-0.0993137\pi\) |
−0.999313 | + | 0.0370542i | \(0.988203\pi\) | |||||||
\(462\) | −1476.04 | + | 537.236i | −0.148640 | + | 0.0541006i | ||||
\(463\) | −6435.33 | + | 11146.3i | −0.645951 | + | 1.11882i | 0.338130 | + | 0.941099i | \(0.390206\pi\) |
−0.984081 | + | 0.177720i | \(0.943128\pi\) | |||||||
\(464\) | −360.408 | − | 624.246i | −0.0360594 | − | 0.0624566i | ||||
\(465\) | 8075.04 | + | 6775.76i | 0.805314 | + | 0.675738i | ||||
\(466\) | 3096.97 | + | 2598.66i | 0.307863 | + | 0.258328i | ||||
\(467\) | −6824.97 | − | 11821.2i | −0.676278 | − | 1.17135i | −0.976094 | − | 0.217351i | \(-0.930258\pi\) |
0.299815 | − | 0.953997i | \(-0.403075\pi\) | |||||||
\(468\) | 234.695 | − | 406.503i | 0.0231811 | − | 0.0401509i | ||||
\(469\) | 5921.72 | − | 2155.33i | 0.583027 | − | 0.212205i | ||||
\(470\) | 1214.38 | + | 6887.09i | 0.119181 | + | 0.675910i | ||||
\(471\) | 1485.77 | − | 8426.20i | 0.145351 | − | 0.824329i | ||||
\(472\) | 2224.76 | + | 809.748i | 0.216956 | + | 0.0789654i | ||||
\(473\) | 2201.12 | − | 1846.96i | 0.213969 | − | 0.179542i | ||||
\(474\) | −2966.18 | −0.287429 | ||||||||
\(475\) | 222.002 | − | 67.1514i | 0.0214445 | − | 0.00648656i | ||||
\(476\) | 7140.03 | 0.687527 | ||||||||
\(477\) | 6702.77 | − | 5624.29i | 0.643394 | − | 0.539872i | ||||
\(478\) | −7807.21 | − | 2841.59i | −0.747057 | − | 0.271907i | ||||
\(479\) | −405.827 | + | 2301.56i | −0.0387113 | + | 0.219543i | −0.998026 | − | 0.0627948i | \(-0.979999\pi\) |
0.959315 | + | 0.282337i | \(0.0911097\pi\) | |||||||
\(480\) | 199.992 | + | 1134.21i | 0.0190174 | + | 0.107853i | ||||
\(481\) | −1086.25 | + | 395.362i | −0.102970 | + | 0.0374781i | ||||
\(482\) | 4546.05 | − | 7874.00i | 0.429600 | − | 0.744089i | ||||
\(483\) | 3069.28 | + | 5316.15i | 0.289145 | + | 0.500814i | ||||
\(484\) | −3615.14 | − | 3033.46i | −0.339513 | − | 0.284886i | ||||
\(485\) | −4322.53 | − | 3627.03i | −0.404693 | − | 0.339577i | ||||
\(486\) | 3758.95 | + | 6510.69i | 0.350842 | + | 0.607677i | ||||
\(487\) | −4423.84 | + | 7662.32i | −0.411629 | + | 0.712963i | −0.995068 | − | 0.0991941i | \(-0.968374\pi\) |
0.583439 | + | 0.812157i | \(0.301707\pi\) | |||||||
\(488\) | 6390.81 | − | 2326.06i | 0.592825 | − | 0.215771i | ||||
\(489\) | 505.653 | + | 2867.70i | 0.0467616 | + | 0.265198i | ||||
\(490\) | 160.759 | − | 911.709i | 0.0148211 | − | 0.0840547i | ||||
\(491\) | −311.146 | − | 113.248i | −0.0285984 | − | 0.0104090i | 0.327681 | − | 0.944788i | \(-0.393733\pi\) |
−0.356280 | + | 0.934379i | \(0.615955\pi\) | |||||||
\(492\) | 3265.36 | − | 2739.96i | 0.299215 | − | 0.251071i | ||||
\(493\) | −4099.08 | −0.374469 | ||||||||
\(494\) | 648.467 | − | 992.078i | 0.0590605 | − | 0.0903556i | ||||
\(495\) | 2229.14 | 0.202409 | ||||||||
\(496\) | −3589.81 | + | 3012.21i | −0.324975 | + | 0.272686i | ||||
\(497\) | −9664.24 | − | 3517.49i | −0.872234 | − | 0.317467i | ||||
\(498\) | 1282.95 | − | 7275.97i | 0.115443 | − | 0.654707i | ||||
\(499\) | 3254.16 | + | 18455.2i | 0.291936 | + | 1.65565i | 0.679402 | + | 0.733767i | \(0.262239\pi\) |
−0.387466 | + | 0.921884i | \(0.626649\pi\) | |||||||
\(500\) | −5310.23 | + | 1932.76i | −0.474961 | + | 0.172872i | ||||
\(501\) | 291.623 | − | 505.106i | 0.0260055 | − | 0.0450429i | ||||
\(502\) | −2498.16 | − | 4326.94i | −0.222108 | − | 0.384703i | ||||
\(503\) | −6963.30 | − | 5842.90i | −0.617253 | − | 0.517937i | 0.279686 | − | 0.960092i | \(-0.409770\pi\) |
−0.896939 | + | 0.442155i | \(0.854214\pi\) | |||||||
\(504\) | −1971.70 | − | 1654.45i | −0.174259 | − | 0.146220i | ||||
\(505\) | 2126.97 | + | 3684.01i | 0.187423 | + | 0.324627i | ||||
\(506\) | 1181.72 | − | 2046.80i | 0.103822 | − | 0.179825i | ||||
\(507\) | 6564.97 | − | 2389.45i | 0.575070 | − | 0.209309i | ||||
\(508\) | 986.742 | + | 5596.09i | 0.0861803 | + | 0.488753i | ||||
\(509\) | 1627.33 | − | 9229.06i | 0.141710 | − | 0.803675i | −0.828241 | − | 0.560372i | \(-0.810658\pi\) |
0.969950 | − | 0.243303i | \(-0.0782309\pi\) | |||||||
\(510\) | 6154.45 | + | 2240.04i | 0.534360 | + | 0.194491i | ||||
\(511\) | −14400.3 | + | 12083.3i | −1.24663 | + | 1.04605i | ||||
\(512\) | −512.000 | −0.0441942 | ||||||||
\(513\) | 5281.74 | + | 10442.7i | 0.454571 | + | 0.898745i | ||||
\(514\) | −1001.05 | −0.0859033 | ||||||||
\(515\) | 12363.9 | − | 10374.5i | 1.05790 | − | 0.887682i | ||||
\(516\) | −2859.74 | − | 1040.86i | −0.243979 | − | 0.0888011i | ||||
\(517\) | 675.392 | − | 3830.34i | 0.0574540 | − | 0.325838i | ||||
\(518\) | 1100.70 | + | 6242.36i | 0.0933625 | + | 0.529485i | ||||
\(519\) | 1342.87 | − | 488.764i | 0.113575 | − | 0.0413379i | ||||
\(520\) | −316.395 | + | 548.013i | −0.0266824 | + | 0.0462153i | ||||
\(521\) | 5808.19 | + | 10060.1i | 0.488410 | + | 0.845951i | 0.999911 | − | 0.0133317i | \(-0.00424375\pi\) |
−0.511501 | + | 0.859283i | \(0.670910\pi\) | |||||||
\(522\) | 1131.95 | + | 949.817i | 0.0949119 | + | 0.0796405i | ||||
\(523\) | −8625.22 | − | 7237.42i | −0.721137 | − | 0.605105i | 0.206563 | − | 0.978433i | \(-0.433772\pi\) |
−0.927699 | + | 0.373328i | \(0.878217\pi\) | |||||||
\(524\) | −1453.95 | − | 2518.31i | −0.121214 | − | 0.209948i | ||||
\(525\) | −89.4385 | + | 154.912i | −0.00743508 | + | 0.0128779i | ||||
\(526\) | −11506.5 | + | 4188.03i | −0.953819 | + | 0.347162i | ||||
\(527\) | 4627.53 | + | 26244.0i | 0.382502 | + | 2.16927i | ||||
\(528\) | 111.228 | − | 630.805i | 0.00916776 | − | 0.0519930i | ||||
\(529\) | 2753.94 | + | 1002.35i | 0.226345 | + | 0.0823829i | ||||
\(530\) | −9036.12 | + | 7582.20i | −0.740573 | + | 0.621415i | ||||
\(531\) | −4853.39 | −0.396647 | ||||||||
\(532\) | −4739.89 | − | 4446.46i | −0.386279 | − | 0.362365i | ||||
\(533\) | 2342.04 | 0.190328 | ||||||||
\(534\) | 6995.16 | − | 5869.63i | 0.566873 | − | 0.475663i | ||||
\(535\) | 14611.4 | + | 5318.13i | 1.18076 | + | 0.429762i | ||||
\(536\) | −446.235 | + | 2530.72i | −0.0359597 | + | 0.203938i | ||||
\(537\) | −487.801 | − | 2766.45i | −0.0391995 | − | 0.222312i | ||||
\(538\) | 8807.94 | − | 3205.83i | 0.705831 | − | 0.256901i | ||||
\(539\) | −257.440 | + | 445.899i | −0.0205728 | + | 0.0356331i | ||||
\(540\) | −3123.99 | − | 5410.91i | −0.248954 | − | 0.431201i | ||||
\(541\) | 12982.9 | + | 10893.9i | 1.03175 | + | 0.865743i | 0.991058 | − | 0.133429i | \(-0.0425988\pi\) |
0.0406936 | + | 0.999172i | \(0.487043\pi\) | |||||||
\(542\) | 4266.61 | + | 3580.11i | 0.338130 | + | 0.283725i | ||||
\(543\) | −2024.99 | − | 3507.39i | −0.160038 | − | 0.277194i | ||||
\(544\) | −1455.80 | + | 2521.52i | −0.114737 | + | 0.198730i | ||||
\(545\) | 22364.9 | − | 8140.15i | 1.75781 | − | 0.639790i | ||||
\(546\) | 158.728 | + | 900.190i | 0.0124412 | + | 0.0705578i | ||||
\(547\) | −215.539 | + | 1222.38i | −0.0168478 | + | 0.0955488i | −0.992072 | − | 0.125669i | \(-0.959892\pi\) |
0.975224 | + | 0.221218i | \(0.0710033\pi\) | |||||||
\(548\) | −9357.30 | − | 3405.78i | −0.729424 | − | 0.265488i | ||||
\(549\) | −10680.0 | + | 8961.59i | −0.830258 | + | 0.696669i | ||||
\(550\) | 68.8706 | 0.00533937 | ||||||||
\(551\) | 2721.16 | + | 2552.70i | 0.210391 | + | 0.197366i | ||||
\(552\) | −2503.21 | −0.193014 | ||||||||
\(553\) | −6845.78 | + | 5744.29i | −0.526424 | + | 0.441722i | ||||
\(554\) | 992.950 | + | 361.404i | 0.0761487 | + | 0.0277159i | ||||
\(555\) | −1009.65 | + | 5726.01i | −0.0772203 | + | 0.437938i | ||||
\(556\) | 1290.92 | + | 7321.15i | 0.0984659 | + | 0.558428i | ||||
\(557\) | −7745.13 | + | 2819.00i | −0.589177 | + | 0.214443i | −0.619367 | − | 0.785101i | \(-0.712611\pi\) |
0.0301904 | + | 0.999544i | \(0.490389\pi\) | |||||||
\(558\) | 4803.25 | − | 8319.48i | 0.364405 | − | 0.631168i | ||||
\(559\) | −836.044 | − | 1448.07i | −0.0632574 | − | 0.109565i | ||||
\(560\) | 2658.08 | + | 2230.39i | 0.200579 | + | 0.168306i | ||||
\(561\) | −2790.35 | − | 2341.38i | −0.209998 | − | 0.176209i | ||||
\(562\) | −8558.94 | − | 14824.5i | −0.642415 | − | 1.11269i | ||||
\(563\) | 7886.28 | − | 13659.4i | 0.590350 | − | 1.02252i | −0.403835 | − | 0.914832i | \(-0.632323\pi\) |
0.994185 | − | 0.107684i | \(-0.0343435\pi\) | |||||||
\(564\) | −3871.00 | + | 1408.93i | −0.289005 | + | 0.105189i | ||||
\(565\) | 562.121 | + | 3187.94i | 0.0418559 | + | 0.237377i | ||||
\(566\) | −1828.98 | + | 10372.7i | −0.135827 | + | 0.770311i | ||||
\(567\) | −318.089 | − | 115.775i | −0.0235600 | − | 0.00857512i | ||||
\(568\) | 3212.67 | − | 2695.75i | 0.237325 | − | 0.199140i | ||||
\(569\) | −22799.6 | −1.67981 | −0.839903 | − | 0.542736i | \(-0.817388\pi\) | ||||
−0.839903 | + | 0.542736i | \(0.817388\pi\) | |||||||
\(570\) | −2690.63 | − | 5319.73i | −0.197716 | − | 0.390911i | ||||
\(571\) | −13021.2 | −0.954323 | −0.477162 | − | 0.878816i | \(-0.658334\pi\) | ||||
−0.477162 | + | 0.878816i | \(0.658334\pi\) | |||||||
\(572\) | 269.597 | − | 226.219i | 0.0197070 | − | 0.0165362i | ||||
\(573\) | −8461.61 | − | 3079.77i | −0.616909 | − | 0.224537i | ||||
\(574\) | 2230.07 | − | 12647.3i | 0.162163 | − | 0.919669i | ||||
\(575\) | −46.7366 | − | 265.057i | −0.00338966 | − | 0.0192237i | ||||
\(576\) | 986.287 | − | 358.979i | 0.0713460 | − | 0.0259678i | ||||
\(577\) | −9724.42 | + | 16843.2i | −0.701617 | + | 1.21524i | 0.266282 | + | 0.963895i | \(0.414205\pi\) |
−0.967899 | + | 0.251341i | \(0.919129\pi\) | |||||||
\(578\) | 3365.70 | + | 5829.57i | 0.242205 | + | 0.419512i | ||||
\(579\) | −1014.15 | − | 850.971i | −0.0727919 | − | 0.0610797i | ||||
\(580\) | −1526.00 | − | 1280.46i | −0.109248 | − | 0.0916695i | ||||
\(581\) | −11129.6 | − | 19277.1i | −0.794725 | − | 1.37650i | ||||
\(582\) | 1661.91 | − | 2878.51i | 0.118365 | − | 0.205014i | ||||
\(583\) | 6164.74 | − | 2243.78i | 0.437938 | − | 0.159396i | ||||
\(584\) | −1331.12 | − | 7549.16i | −0.0943188 | − | 0.534909i | ||||
\(585\) | 225.257 | − | 1277.49i | 0.0159200 | − | 0.0902870i | ||||
\(586\) | −217.589 | − | 79.1960i | −0.0153388 | − | 0.00558286i | ||||
\(587\) | 4222.11 | − | 3542.77i | 0.296874 | − | 0.249107i | −0.482168 | − | 0.876079i | \(-0.660150\pi\) |
0.779042 | + | 0.626972i | \(0.215706\pi\) | |||||||
\(588\) | 545.328 | 0.0382465 | ||||||||
\(589\) | 13271.5 | − | 20303.8i | 0.928426 | − | 1.42038i | ||||
\(590\) | 6542.94 | 0.456557 | ||||||||
\(591\) | 8224.59 | − | 6901.25i | 0.572444 | − | 0.480337i | ||||
\(592\) | −2428.92 | − | 884.056i | −0.168629 | − | 0.0613758i | ||||
\(593\) | −1257.97 | + | 7134.31i | −0.0871141 | + | 0.494049i | 0.909766 | + | 0.415121i | \(0.136261\pi\) |
−0.996880 | + | 0.0789278i | \(0.974850\pi\) | |||||||
\(594\) | 603.409 | + | 3422.10i | 0.0416804 | + | 0.236381i | ||||
\(595\) | 18542.2 | − | 6748.80i | 1.27757 | − | 0.464998i | ||||
\(596\) | 5312.45 | − | 9201.43i | 0.365111 | − | 0.632391i | ||||
\(597\) | 771.794 | + | 1336.79i | 0.0529103 | + | 0.0916433i | ||||
\(598\) | −1053.58 | − | 884.062i | −0.0720472 | − | 0.0604548i | ||||
\(599\) | 15437.6 | + | 12953.7i | 1.05303 | + | 0.883595i | 0.993409 | − | 0.114626i | \(-0.0365670\pi\) |
0.0596190 | + | 0.998221i | \(0.481011\pi\) | |||||||
\(600\) | −36.4717 | − | 63.1708i | −0.00248158 | − | 0.00429823i | ||||
\(601\) | −5802.61 | + | 10050.4i | −0.393833 | + | 0.682138i | −0.992951 | − | 0.118522i | \(-0.962184\pi\) |
0.599119 | + | 0.800660i | \(0.295518\pi\) | |||||||
\(602\) | −8615.85 | + | 3135.91i | −0.583315 | + | 0.212309i | ||||
\(603\) | −914.768 | − | 5187.91i | −0.0617781 | − | 0.350361i | ||||
\(604\) | −1017.29 | + | 5769.35i | −0.0685315 | + | 0.388661i | ||||
\(605\) | −12255.5 | − | 4460.64i | −0.823566 | − | 0.299753i | ||||
\(606\) | −1919.54 | + | 1610.69i | −0.128673 | + | 0.107970i | ||||
\(607\) | 15678.2 | 1.04836 | 0.524182 | − | 0.851606i | \(-0.324371\pi\) | ||||
0.524182 | + | 0.851606i | \(0.324371\pi\) | |||||||
\(608\) | 2536.70 | − | 767.303i | 0.169205 | − | 0.0511814i | ||||
\(609\) | −2877.54 | −0.191468 | ||||||||
\(610\) | 14397.9 | − | 12081.3i | 0.955661 | − | 0.801895i | ||||
\(611\) | −2126.87 | − | 774.118i | −0.140825 | − | 0.0512561i | ||||
\(612\) | 1036.45 | − | 5878.01i | 0.0684576 | − | 0.388242i | ||||
\(613\) | −632.555 | − | 3587.40i | −0.0416781 | − | 0.236368i | 0.956852 | − | 0.290577i | \(-0.0938473\pi\) |
−0.998530 | + | 0.0542092i | \(0.982736\pi\) | |||||||
\(614\) | −17036.2 | + | 6200.67i | −1.11975 | + | 0.407555i | ||||
\(615\) | 5890.09 | − | 10201.9i | 0.386197 | − | 0.668913i | ||||
\(616\) | −964.906 | − | 1671.27i | −0.0631123 | − | 0.109314i | ||||
\(617\) | 18233.9 | + | 15300.0i | 1.18974 | + | 0.998309i | 0.999864 | + | 0.0165003i | \(0.00525245\pi\) |
0.189874 | + | 0.981808i | \(0.439192\pi\) | |||||||
\(618\) | 7282.96 | + | 6111.13i | 0.474051 | + | 0.397776i | ||||
\(619\) | −5166.52 | − | 8948.67i | −0.335476 | − | 0.581062i | 0.648100 | − | 0.761555i | \(-0.275564\pi\) |
−0.983576 | + | 0.180493i | \(0.942231\pi\) | |||||||
\(620\) | −6475.34 | + | 11215.6i | −0.419445 | + | 0.726500i | ||||
\(621\) | 12760.9 | − | 4644.58i | 0.824600 | − | 0.300130i | ||||
\(622\) | 2204.80 | + | 12504.1i | 0.142129 | + | 0.806056i | ||||
\(623\) | 4777.33 | − | 27093.6i | 0.307222 | − | 1.74234i | ||||
\(624\) | −350.267 | − | 127.487i | −0.0224710 | − | 0.00817878i | ||||
\(625\) | −11695.3 | + | 9813.50i | −0.748497 | + | 0.628064i | ||||
\(626\) | −1750.03 | −0.111733 | ||||||||
\(627\) | 394.271 | + | 3292.01i | 0.0251127 | + | 0.209682i | ||||
\(628\) | 10511.9 | 0.667949 | ||||||||
\(629\) | −11260.1 | + | 9448.36i | −0.713785 | + | 0.598936i | ||||
\(630\) | −6684.16 | − | 2432.84i | −0.422704 | − | 0.153852i | ||||
\(631\) | 3598.39 | − | 20407.5i | 0.227020 | − | 1.28750i | −0.631765 | − | 0.775160i | \(-0.717669\pi\) |
0.858785 | − | 0.512336i | \(-0.171220\pi\) | |||||||
\(632\) | −632.806 | − | 3588.82i | −0.0398286 | − | 0.225879i | ||||
\(633\) | −445.546 | + | 162.165i | −0.0279761 | + | 0.0101825i | ||||
\(634\) | 5604.65 | − | 9707.54i | 0.351087 | − | 0.608100i | ||||
\(635\) | 7851.96 | + | 13600.0i | 0.490702 | + | 0.849920i | ||||
\(636\) | −5322.74 | − | 4466.31i | −0.331856 | − | 0.278460i | ||||
\(637\) | 229.525 | + | 192.594i | 0.0142765 | + | 0.0119794i | ||||
\(638\) | 553.950 | + | 959.470i | 0.0343748 | + | 0.0595389i | ||||
\(639\) | −4298.63 | + | 7445.45i | −0.266121 | + | 0.460935i | ||||
\(640\) | −1329.63 | + | 483.945i | −0.0821222 | + | 0.0298900i | ||||
\(641\) | −2901.25 | − | 16453.8i | −0.178771 | − | 1.01386i | −0.933700 | − | 0.358056i | \(-0.883440\pi\) |
0.754929 | − | 0.655807i | \(-0.227672\pi\) | |||||||
\(642\) | −1590.49 | + | 9020.11i | −0.0977751 | + | 0.554510i | ||||
\(643\) | −21174.9 | − | 7707.05i | −1.29869 | − | 0.472685i | −0.402121 | − | 0.915587i | \(-0.631727\pi\) |
−0.896570 | + | 0.442902i | \(0.853949\pi\) | |||||||
\(644\) | −5777.27 | + | 4847.70i | −0.353503 | + | 0.296625i | ||||
\(645\) | −8410.39 | −0.513424 | ||||||||
\(646\) | 3433.90 | − | 14674.6i | 0.209141 | − | 0.893751i | ||||
\(647\) | −2985.35 | −0.181401 | −0.0907004 | − | 0.995878i | \(-0.528911\pi\) | ||||
−0.0907004 | + | 0.995878i | \(0.528911\pi\) | |||||||
\(648\) | 105.742 | − | 88.7282i | 0.00641041 | − | 0.00537897i | ||||
\(649\) | −3419.48 | − | 1244.59i | −0.206820 | − | 0.0752764i | ||||
\(650\) | 6.95943 | − | 39.4689i | 0.000419956 | − | 0.00238169i | ||||
\(651\) | 3248.52 | + | 18423.3i | 0.195575 | + | 1.10916i | ||||
\(652\) | −3361.79 | + | 1223.59i | −0.201929 | + | 0.0734962i | ||||
\(653\) | −5704.35 | + | 9880.23i | −0.341851 | + | 0.592103i | −0.984776 | − | 0.173826i | \(-0.944387\pi\) |
0.642926 | + | 0.765929i | \(0.277720\pi\) | |||||||
\(654\) | 7009.77 | + | 12141.3i | 0.419119 | + | 0.725935i | ||||
\(655\) | −6156.12 | − | 5165.60i | −0.367236 | − | 0.308147i | ||||
\(656\) | 4011.74 | + | 3366.25i | 0.238769 | + | 0.200351i | ||||
\(657\) | 7857.15 | + | 13609.0i | 0.466570 | + | 0.808123i | ||||
\(658\) | −6205.53 | + | 10748.3i | −0.367655 | + | 0.636796i | ||||
\(659\) | 12383.6 | − | 4507.25i | 0.732011 | − | 0.266430i | 0.0509954 | − | 0.998699i | \(-0.483761\pi\) |
0.681016 | + | 0.732269i | \(0.261538\pi\) | |||||||
\(660\) | −307.389 | − | 1743.29i | −0.0181290 | − | 0.102814i | ||||
\(661\) | 189.669 | − | 1075.66i | 0.0111607 | − | 0.0632957i | −0.978719 | − | 0.205206i | \(-0.934213\pi\) |
0.989879 | + | 0.141911i | \(0.0453246\pi\) | |||||||
\(662\) | 3156.37 | + | 1148.82i | 0.185311 | + | 0.0674476i | ||||
\(663\) | −1623.79 | + | 1362.52i | −0.0951170 | + | 0.0798127i | ||||
\(664\) | 9076.99 | 0.530505 | ||||||||
\(665\) | −16512.0 | − | 7066.97i | −0.962869 | − | 0.412098i | ||||
\(666\) | 5298.77 | 0.308293 | ||||||||
\(667\) | 3316.72 | − | 2783.06i | 0.192539 | − | 0.161560i | ||||
\(668\) | 673.349 | + | 245.079i | 0.0390010 | + | 0.0141952i | ||||
\(669\) | −704.180 | + | 3993.60i | −0.0406953 | + | 0.230795i | ||||
\(670\) | 1233.21 | + | 6993.90i | 0.0711092 | + | 0.403280i | ||||
\(671\) | −9822.73 | + | 3575.18i | −0.565130 | + | 0.205690i | ||||
\(672\) | −1021.97 | + | 1770.10i | −0.0586655 | + | 0.101612i | ||||
\(673\) | 13544.6 | + | 23460.0i | 0.775792 | + | 1.34371i | 0.934348 | + | 0.356361i | \(0.115983\pi\) |
−0.158557 | + | 0.987350i | \(0.550684\pi\) | |||||||
\(674\) | 12962.7 | + | 10877.0i | 0.740808 | + | 0.621612i | ||||
\(675\) | 303.136 | + | 254.361i | 0.0172855 | + | 0.0145042i | ||||
\(676\) | 4291.60 | + | 7433.27i | 0.244174 | + | 0.422922i | ||||
\(677\) | −1141.85 | + | 1977.74i | −0.0648225 | + | 0.112276i | −0.896615 | − | 0.442810i | \(-0.853981\pi\) |
0.831793 | + | 0.555086i | \(0.187315\pi\) | |||||||
\(678\) | −1791.84 | + | 652.175i | −0.101497 | + | 0.0369419i | ||||
\(679\) | −1738.92 | − | 9861.88i | −0.0982819 | − | 0.557385i | ||||
\(680\) | −1397.26 | + | 7924.23i | −0.0787975 | + | 0.446883i | ||||
\(681\) | −4214.91 | − | 1534.10i | −0.237174 | − | 0.0863244i | ||||
\(682\) | 5517.57 | − | 4629.79i | 0.309793 | − | 0.259947i | ||||
\(683\) | −13754.9 | −0.770595 | −0.385298 | − | 0.922792i | \(-0.625901\pi\) | ||||
−0.385298 | + | 0.922792i | \(0.625901\pi\) | |||||||
\(684\) | −4348.58 | + | 3256.65i | −0.243088 | + | 0.182048i | ||||
\(685\) | −27519.4 | −1.53498 | ||||||||
\(686\) | −9050.90 | + | 7594.61i | −0.503739 | + | 0.422687i | ||||
\(687\) | −4778.21 | − | 1739.13i | −0.265357 | − | 0.0965820i | ||||
\(688\) | 649.252 | − | 3682.09i | 0.0359775 | − | 0.204039i | ||||
\(689\) | −662.932 | − | 3759.67i | −0.0366556 | − | 0.207884i | ||||
\(690\) | −6500.67 | + | 2366.05i | −0.358661 | + | 0.130542i | ||||
\(691\) | 536.351 | − | 928.986i | 0.0295278 | − | 0.0511437i | −0.850884 | − | 0.525354i | \(-0.823933\pi\) |
0.880412 | + | 0.474210i | \(0.157266\pi\) | |||||||
\(692\) | 877.848 | + | 1520.48i | 0.0482237 | + | 0.0835259i | ||||
\(693\) | 3030.52 | + | 2542.90i | 0.166118 | + | 0.139390i | ||||
\(694\) | 6586.16 | + | 5526.45i | 0.360241 | + | 0.302278i | ||||
\(695\) | 10272.4 | + | 17792.4i | 0.560655 | + | 0.971082i | ||||
\(696\) | 586.709 | − | 1016.21i | 0.0319528 | − | 0.0553439i | ||||
\(697\) | 27985.0 | − | 10185.7i | 1.52082 | − | 0.553532i | ||||
\(698\) | −1209.92 | − | 6861.77i | −0.0656103 | − | 0.372094i | ||||
\(699\) | −1142.83 | + | 6481.30i | −0.0618394 | + | 0.350709i | ||||
\(700\) | −206.511 | − | 75.1637i | −0.0111505 | − | 0.00405846i | ||||
\(701\) | −1478.18 | + | 1240.34i | −0.0796434 | + | 0.0668288i | −0.681740 | − | 0.731594i | \(-0.738777\pi\) |
0.602097 | + | 0.798423i | \(0.294332\pi\) | |||||||
\(702\) | 2022.14 | 0.108719 | ||||||||
\(703\) | 13359.0 | + | 739.972i | 0.716705 | + | 0.0396992i | ||||
\(704\) | 786.948 | 0.0421296 | ||||||||
\(705\) | −8721.00 | + | 7317.79i | −0.465889 | + | 0.390927i | ||||
\(706\) | −3895.69 | − | 1417.91i | −0.207672 | − | 0.0755863i | ||||
\(707\) | −1310.95 | + | 7434.75i | −0.0697359 | + | 0.395492i | ||||
\(708\) | 669.262 | + | 3795.57i | 0.0355260 | + | 0.201478i | ||||
\(709\) | −299.802 | + | 109.119i | −0.0158805 | + | 0.00578004i | −0.349948 | − | 0.936769i | \(-0.613801\pi\) |
0.334068 | + | 0.942549i | \(0.391579\pi\) | |||||||
\(710\) | 5795.05 | − | 10037.3i | 0.306316 | − | 0.530555i | ||||
\(711\) | 3735.23 | + | 6469.61i | 0.197021 | + | 0.341251i | ||||
\(712\) | 8594.08 | + | 7211.29i | 0.452355 | + | 0.379571i | ||||
\(713\) | −21562.6 | − | 18093.2i | −1.13258 | − | 0.950343i | ||||
\(714\) | 5811.63 | + | 10066.0i | 0.304615 | + | 0.527608i | ||||
\(715\) | 486.302 | − | 842.300i | 0.0254359 | − | 0.0440563i | ||||
\(716\) | 3243.10 | − | 1180.39i | 0.169274 | − | 0.0616107i | ||||
\(717\) | −2348.59 | − | 13319.5i | −0.122329 | − | 0.693762i | ||||
\(718\) | −45.6167 | + | 258.705i | −0.00237103 | + | 0.0134468i | ||||
\(719\) | −30787.6 | − | 11205.8i | −1.59692 | − | 0.581230i | −0.618123 | − | 0.786082i | \(-0.712107\pi\) |
−0.978793 | + | 0.204852i | \(0.934329\pi\) | |||||||
\(720\) | 2222.01 | − | 1864.49i | 0.115013 | − | 0.0965074i | ||||
\(721\) | 28643.4 | 1.47953 | ||||||||
\(722\) | −11418.2 | + | 7603.21i | −0.588560 | + | 0.391914i | ||||
\(723\) | 14801.1 | 0.761351 | ||||||||
\(724\) | 3811.62 | − | 3198.33i | 0.195660 | − | 0.164178i | ||||
\(725\) | 118.557 | + | 43.1513i | 0.00607325 | + | 0.00221048i | ||||
\(726\) | 1334.04 | − | 7565.72i | 0.0681968 | − | 0.386763i | ||||
\(727\) | 5357.94 | + | 30386.4i | 0.273335 | + | 1.55016i | 0.744200 | + | 0.667957i | \(0.232831\pi\) |
−0.470864 | + | 0.882206i | \(0.656058\pi\) | |||||||
\(728\) | −1055.29 | + | 384.093i | −0.0537246 | + | 0.0195542i | ||||
\(729\) | −6352.13 | + | 11002.2i | −0.322722 | + | 0.558971i | ||||
\(730\) | −10592.3 | − | 18346.5i | −0.537041 | − | 0.930183i | ||||
\(731\) | −16287.7 | − | 13667.0i | −0.824105 | − | 0.691506i | ||||
\(732\) | 8481.10 | + | 7116.49i | 0.428238 | + | 0.359335i | ||||
\(733\) | −11906.6 | − | 20622.9i | −0.599976 | − | 1.03919i | −0.992824 | − | 0.119585i | \(-0.961844\pi\) |
0.392848 | − | 0.919603i | \(-0.371490\pi\) | |||||||
\(734\) | 6631.56 | − | 11486.2i | 0.333481 | − | 0.577607i | ||||
\(735\) | 1416.18 | − | 515.448i | 0.0710702 | − | 0.0258674i | ||||
\(736\) | −534.035 | − | 3028.66i | −0.0267456 | − | 0.151682i | ||||
\(737\) | 685.866 | − | 3889.74i | 0.0342798 | − | 0.194410i | ||||
\(738\) | −10088.2 | − | 3671.79i | −0.503185 | − | 0.183144i | ||||
\(739\) | 27459.1 | − | 23040.9i | 1.36685 | − | 1.14692i | 0.393047 | − | 0.919519i | \(-0.371421\pi\) |
0.973801 | − | 0.227403i | \(-0.0730233\pi\) | |||||||
\(740\) | −7143.36 | −0.354858 | ||||||||
\(741\) | 1926.45 | + | 106.709i | 0.0955062 | + | 0.00529022i | ||||
\(742\) | −20934.0 | −1.03573 | ||||||||
\(743\) | 18587.0 | − | 15596.3i | 0.917753 | − | 0.770086i | −0.0558255 | − | 0.998441i | \(-0.517779\pi\) |
0.973578 | + | 0.228355i | \(0.0733346\pi\) | |||||||
\(744\) | −7168.56 | − | 2609.14i | −0.353242 | − | 0.128570i | ||||
\(745\) | 5098.82 | − | 28916.8i | 0.250747 | − | 1.42206i | ||||
\(746\) | −968.801 | − | 5494.34i | −0.0475473 | − | 0.269654i | ||||
\(747\) | −17485.4 | + | 6364.16i | −0.856434 | + | 0.311717i | ||||
\(748\) | 2237.57 | − | 3875.59i | 0.109377 | − | 0.189446i | ||||
\(749\) | 13797.5 | + | 23898.0i | 0.673099 | + | 1.16584i | ||||
\(750\) | −7047.08 | − | 5913.20i | −0.343097 | − | 0.287893i | ||||
\(751\) | −8912.16 | − | 7478.19i | −0.433035 | − | 0.363359i | 0.400060 | − | 0.916489i | \(-0.368989\pi\) |
−0.833095 | + | 0.553129i | \(0.813434\pi\) | |||||||
\(752\) | −2530.52 | − | 4382.99i | −0.122711 | − | 0.212541i | ||||
\(753\) | 4066.76 | − | 7043.84i | 0.196814 | − | 0.340892i | ||||
\(754\) | 605.838 | − | 220.507i | 0.0292617 | − | 0.0106504i | ||||
\(755\) | 2811.39 | + | 15944.2i | 0.135519 | + | 0.768566i | ||||
\(756\) | 1925.46 | − | 10919.8i | 0.0926300 | − | 0.525331i | ||||
\(757\) | 15948.3 | + | 5804.71i | 0.765721 | + | 0.278700i | 0.695206 | − | 0.718811i | \(-0.255313\pi\) |
0.0705158 | + | 0.997511i | \(0.477535\pi\) | |||||||
\(758\) | 10793.8 | − | 9057.07i | 0.517214 | − | 0.433994i | ||||
\(759\) | 3847.45 | 0.183997 | ||||||||
\(760\) | 5862.38 | − | 4390.34i | 0.279804 | − | 0.209545i | ||||
\(761\) | 14733.7 | 0.701836 | 0.350918 | − | 0.936406i | \(-0.385870\pi\) | ||||
0.350918 | + | 0.936406i | \(0.385870\pi\) | |||||||
\(762\) | −7086.23 | + | 5946.06i | −0.336886 | + | 0.282681i | ||||
\(763\) | 39690.9 | + | 14446.3i | 1.88323 | + | 0.685440i | ||||
\(764\) | 1921.05 | − | 10894.8i | 0.0909703 | − | 0.515918i | ||||
\(765\) | −2864.33 | − | 16244.4i | −0.135373 | − | 0.767737i | ||||
\(766\) | −5107.16 | + | 1858.85i | −0.240900 | + | 0.0876803i | ||||
\(767\) | −1058.80 | + | 1833.89i | −0.0498449 | + | 0.0863339i | ||||
\(768\) | −416.743 | − | 721.819i | −0.0195806 | − | 0.0339146i | ||||
\(769\) | −7550.14 | − | 6335.32i | −0.354051 | − | 0.297084i | 0.448363 | − | 0.893851i | \(-0.352007\pi\) |
−0.802414 | + | 0.596767i | \(0.796452\pi\) | |||||||
\(770\) | −4085.49 | − | 3428.13i | −0.191209 | − | 0.160443i | ||||
\(771\) | −814.803 | − | 1411.28i | −0.0380602 | − | 0.0659222i | ||||
\(772\) | 813.241 | − | 1408.57i | 0.0379134 | − | 0.0656680i | ||||
\(773\) | 9147.81 | − | 3329.53i | 0.425645 | − | 0.154922i | −0.120310 | − | 0.992736i | \(-0.538389\pi\) |
0.545956 | + | 0.837814i | \(0.316167\pi\) | |||||||
\(774\) | 1330.95 | + | 7548.18i | 0.0618087 | + | 0.350535i | ||||
\(775\) | 142.431 | − | 807.769i | 0.00660166 | − | 0.0374399i | ||||
\(776\) | 3837.29 | + | 1396.66i | 0.177514 | + | 0.0646098i | ||||
\(777\) | −7904.58 | + | 6632.73i | −0.364962 | + | 0.306239i | ||||
\(778\) | 2330.30 | 0.107385 | ||||||||
\(779\) | −24921.0 | − | 10665.9i | −1.14620 | − | 0.490560i | ||||
\(780\) | −1030.12 | −0.0472875 | ||||||||
\(781\) | −4937.90 | + | 4143.39i | −0.226238 | + | 0.189836i | ||||
\(782\) | −16434.1 | − | 5981.53i | −0.751513 | − | 0.273528i | ||||
\(783\) | −1105.40 | + | 6269.05i | −0.0504519 | + | 0.286127i | ||||
\(784\) | 116.340 | + | 659.799i | 0.00529976 | + | 0.0300564i | ||||
\(785\) | 27298.8 | − | 9935.94i | 1.24119 | − | 0.451757i | ||||
\(786\) | 2366.88 | − | 4099.56i | 0.107409 | − | 0.186039i | ||||
\(787\) | 8158.66 | + | 14131.2i | 0.369536 | + | 0.640055i | 0.989493 | − | 0.144581i | \(-0.0461833\pi\) |
−0.619957 | + | 0.784636i | \(0.712850\pi\) | |||||||
\(788\) | 10104.5 | + | 8478.71i | 0.456801 | + | 0.383301i | ||||
\(789\) | −15270.0 | − | 12813.1i | −0.689009 | − | 0.578147i | ||||
\(790\) | −5035.53 | − | 8721.79i | −0.226780 | − | 0.392794i | ||||
\(791\) | −2872.46 | + | 4975.24i | −0.129119 | + | 0.223640i | ||||
\(792\) | −1515.93 | + | 551.754i | −0.0680129 | + | 0.0247547i | ||||
\(793\) | 1056.30 | + | 5990.56i | 0.0473016 | + | 0.268261i | ||||
\(794\) | −4271.97 | + | 24227.5i | −0.190940 | + | 1.08288i | ||||
\(795\) | −18044.4 | − | 6567.61i | −0.804991 | − | 0.292993i | ||||
\(796\) | −1452.74 | + | 1218.99i | −0.0646871 | + | 0.0542789i | ||||
\(797\) | −9154.08 | −0.406844 | −0.203422 | − | 0.979091i | \(-0.565206\pi\) | ||||
−0.203422 | + | 0.979091i | \(0.565206\pi\) | |||||||
\(798\) | 2410.59 | − | 10301.5i | 0.106935 | − | 0.456979i | ||||
\(799\) | −28780.7 | −1.27433 | ||||||||
\(800\) | 68.6502 | − | 57.6043i | 0.00303394 | − | 0.00254578i | ||||
\(801\) | −21611.2 | − | 7865.83i | −0.953301 | − | 0.346973i | ||||
\(802\) | 2585.32 | − | 14662.1i | 0.113829 | − | 0.645557i | ||||
\(803\) | 2045.94 | + | 11603.1i | 0.0899126 | + | 0.509919i | ||||
\(804\) | −3931.04 | + | 1430.78i | −0.172434 | + | 0.0627608i | ||||
\(805\) | −10421.1 | + | 18049.9i | −0.456267 | + | 0.790278i | ||||
\(806\) | −2095.72 | − | 3629.90i | −0.0915864 | − | 0.158632i | ||||
\(807\) | 11688.8 | + | 9808.08i | 0.509871 | + | 0.427832i | ||||
\(808\) | −2358.30 | − | 1978.85i | −0.102679 | − | 0.0861582i | ||||
\(809\) | 21125.8 | + | 36590.9i | 0.918099 | + | 1.59019i | 0.802300 | + | 0.596921i | \(0.203609\pi\) |
0.115799 | + | 0.993273i | \(0.463057\pi\) | |||||||
\(810\) | 190.739 | − | 330.369i | 0.00827392 | − | 0.0143309i | ||||
\(811\) | −36236.7 | + | 13189.1i | −1.56898 | + | 0.571062i | −0.972771 | − | 0.231767i | \(-0.925549\pi\) |
−0.596209 | + | 0.802829i | \(0.703327\pi\) | |||||||
\(812\) | −613.895 | − | 3481.57i | −0.0265314 | − | 0.150467i | ||||
\(813\) | −1574.44 | + | 8929.12i | −0.0679190 | + | 0.385188i | ||||
\(814\) | 3733.27 | + | 1358.80i | 0.160751 | + | 0.0585085i | ||||
\(815\) | −7573.79 | + | 6355.17i | −0.325520 | + | 0.273143i | ||||
\(816\) | −4739.79 | −0.203340 | ||||||||
\(817\) | 2301.41 | + | 19215.9i | 0.0985510 | + | 0.822864i | ||||
\(818\) | −2687.13 | −0.114857 | ||||||||
\(819\) | 1763.54 | − | 1479.79i | 0.0752420 | − | 0.0631355i | ||||
\(820\) | 13600.0 | + | 4950.00i | 0.579187 | + | 0.210807i | ||||
\(821\) | −3113.69 | + | 17658.6i | −0.132361 | + | 0.750657i | 0.844300 | + | 0.535871i | \(0.180017\pi\) |
−0.976661 | + | 0.214786i | \(0.931095\pi\) | |||||||
\(822\) | −2814.90 | − | 15964.1i | −0.119441 | − | 0.677386i | ||||
\(823\) | 9595.55 | − | 3492.50i | 0.406416 | − | 0.147923i | −0.130720 | − | 0.991419i | \(-0.541729\pi\) |
0.537135 | + | 0.843496i | \(0.319507\pi\) | |||||||
\(824\) | −5840.18 | + | 10115.5i | −0.246908 | + | 0.427657i | ||||
\(825\) | 56.0572 | + | 97.0940i | 0.00236565 | + | 0.00409743i | ||||
\(826\) | 8895.10 | + | 7463.88i | 0.374698 | + | 0.314409i | ||||
\(827\) | 24452.2 | + | 20517.8i | 1.02816 | + | 0.862726i | 0.990630 | − | 0.136570i | \(-0.0436078\pi\) |
0.0375260 | + | 0.999296i | \(0.488052\pi\) | |||||||
\(828\) | 3152.22 | + | 5459.81i | 0.132303 | + | 0.229156i | ||||
\(829\) | 21246.4 | − | 36799.8i | 0.890130 | − | 1.54175i | 0.0504120 | − | 0.998729i | \(-0.483947\pi\) |
0.839718 | − | 0.543022i | \(-0.182720\pi\) | |||||||
\(830\) | 23572.3 | − | 8579.62i | 0.985792 | − | 0.358799i | ||||
\(831\) | 298.703 | + | 1694.03i | 0.0124692 | + | 0.0707163i | ||||
\(832\) | 79.5217 | − | 450.990i | 0.00331361 | − | 0.0187924i | ||||
\(833\) | 3580.20 | + | 1303.09i | 0.148915 | + | 0.0542008i | ||||
\(834\) | −9270.64 | + | 7778.99i | −0.384911 | + | 0.322979i | ||||
\(835\) | 1980.29 | 0.0820728 | ||||||||
\(836\) | −3898.93 | + | 1179.35i | −0.161301 | + | 0.0487903i | ||||
\(837\) | 41385.0 | 1.70905 | ||||||||
\(838\) | −23930.7 | + | 20080.3i | −0.986483 | + | 0.827758i | ||||
\(839\) | −1242.57 | − | 452.258i | −0.0511302 | − | 0.0186099i | 0.316328 | − | 0.948650i | \(-0.397550\pi\) |
−0.367459 | + | 0.930040i | \(0.619772\pi\) | |||||||
\(840\) | −980.871 | + | 5562.80i | −0.0402896 | + | 0.228494i | ||||
\(841\) | −3882.67 | − | 22019.7i | −0.159198 | − | 0.902854i | ||||
\(842\) | −9961.00 | + | 3625.51i | −0.407694 | + | 0.148389i | ||||
\(843\) | 13933.1 | − | 24132.8i | 0.569255 | − | 0.985978i | ||||
\(844\) | −291.258 | − | 504.474i | −0.0118786 | − | 0.0205743i | ||||
\(845\) | 18171.0 | + | 15247.2i | 0.739763 | + | 0.620735i | ||||
\(846\) | 7947.69 | + | 6668.91i | 0.322987 | + | 0.271019i | ||||
\(847\) | −11572.8 | − | 20044.7i | −0.469478 | − | 0.813159i | ||||
\(848\) | 4268.28 | − | 7392.88i | 0.172846 | − | 0.299378i | ||||
\(849\) | −16112.1 | + | 5864.34i | −0.651316 | + | 0.237060i | ||||
\(850\) | −88.4950 | − | 501.880i | −0.00357101 | − | 0.0202522i | ||||
\(851\) | 2696.05 | − | 15290.1i | 0.108601 | − | 0.615906i | ||||
\(852\) | 6415.44 | + | 2335.03i | 0.257969 | + | 0.0938929i | ||||
\(853\) | −21479.8 | + | 18023.7i | −0.862197 | + | 0.723469i | −0.962440 | − | 0.271494i | \(-0.912482\pi\) |
0.100243 | + | 0.994963i | \(0.468038\pi\) | |||||||
\(854\) | 33355.6 | 1.33654 | ||||||||
\(855\) | −8214.75 | + | 12567.6i | −0.328583 | + | 0.502693i | ||||
\(856\) | −11252.8 | −0.449316 | ||||||||
\(857\) | −2940.63 | + | 2467.49i | −0.117211 | + | 0.0983520i | −0.699509 | − | 0.714623i | \(-0.746598\pi\) |
0.582298 | + | 0.812975i | \(0.302154\pi\) | |||||||
\(858\) | 538.363 | + | 195.948i | 0.0214212 | + | 0.00779669i | ||||
\(859\) | −888.009 | + | 5036.15i | −0.0352718 | + | 0.200036i | −0.997352 | − | 0.0727321i | \(-0.976828\pi\) |
0.962080 | + | 0.272769i | \(0.0879393\pi\) | |||||||
\(860\) | −1794.27 | − | 10175.8i | −0.0711444 | − | 0.403480i | ||||
\(861\) | 19645.4 | − | 7150.36i | 0.777601 | − | 0.283024i | ||||
\(862\) | 3263.24 | − | 5652.10i | 0.128940 | − | 0.223331i | ||||
\(863\) | −11459.5 | − | 19848.4i | −0.452010 | − | 0.782904i | 0.546501 | − | 0.837458i | \(-0.315959\pi\) |
−0.998511 | + | 0.0545548i | \(0.982626\pi\) | |||||||
\(864\) | 3463.77 | + | 2906.45i | 0.136389 | + | 0.114444i | ||||
\(865\) | 3716.88 | + | 3118.83i | 0.146101 | + | 0.122594i | ||||
\(866\) | −8733.63 | − | 15127.1i | −0.342703 | − | 0.593579i | ||||
\(867\) | −5479.03 | + | 9489.95i | −0.214622 | + | 0.371737i | ||||
\(868\) | −21597.5 | + | 7860.83i | −0.844546 | + | 0.307390i | ||||
\(869\) | 972.627 | + | 5516.04i | 0.0379679 | + | 0.215327i | ||||
\(870\) | 563.116 | − | 3193.59i | 0.0219442 | − | 0.124451i | ||||
\(871\) | −2159.86 | − | 786.123i | −0.0840228 | − | 0.0305818i | ||||
\(872\) | −13194.4 | + | 11071.4i | −0.512407 | + | 0.429960i | ||||
\(873\) | −8371.18 | −0.324538 | ||||||||
\(874\) | 7184.75 | + | 14205.2i | 0.278064 | + | 0.549768i | ||||
\(875\) | −27715.7 | −1.07081 | ||||||||
\(876\) | 9559.37 | − | 8021.26i | 0.368700 | − | 0.309376i | ||||
\(877\) | 11242.3 | + | 4091.88i | 0.432870 | + | 0.157552i | 0.549259 | − | 0.835652i | \(-0.314910\pi\) |
−0.116389 | + | 0.993204i | \(0.537132\pi\) | |||||||
\(878\) | −4664.17 | + | 26451.8i | −0.179280 | + | 1.01675i | ||||
\(879\) | −65.4561 | − | 371.220i | −0.00251169 | − | 0.0142445i | ||||
\(880\) | 2043.65 | − | 743.828i | 0.0782857 | − | 0.0284937i | ||||
\(881\) | 22024.3 | − | 38147.1i | 0.842243 | − | 1.45881i | −0.0457513 | − | 0.998953i | \(-0.514568\pi\) |
0.887994 | − | 0.459855i | \(-0.152098\pi\) | |||||||
\(882\) | −686.717 | − | 1189.43i | −0.0262165 | − | 0.0454083i | ||||
\(883\) | −20866.4 | − | 17509.0i | −0.795257 | − | 0.667299i | 0.151784 | − | 0.988414i | \(-0.451498\pi\) |
−0.947040 | + | 0.321114i | \(0.895943\pi\) | |||||||
\(884\) | −1994.94 | − | 1673.96i | −0.0759018 | − | 0.0636892i | ||||
\(885\) | 5325.63 | + | 9224.25i | 0.202281 | + | 0.350362i | ||||
\(886\) | −5286.41 | + | 9156.34i | −0.200452 | + | 0.347193i | ||||
\(887\) | −32713.6 | + | 11906.8i | −1.23835 | + | 0.450722i | −0.876449 | − | 0.481495i | \(-0.840094\pi\) |
−0.361900 | + | 0.932217i | \(0.617872\pi\) | |||||||
\(888\) | −730.678 | − | 4143.88i | −0.0276126 | − | 0.156599i | ||||
\(889\) | −4839.53 | + | 27446.3i | −0.182579 | + | 1.03546i | ||||
\(890\) | 29134.4 | + | 10604.1i | 1.09729 | + | 0.399381i | ||||
\(891\) | −162.527 | + | 136.376i | −0.00611094 | + | 0.00512768i | ||||
\(892\) | −4982.13 | −0.187011 | ||||||||
\(893\) | 19106.0 | + | 17923.2i | 0.715965 | + | 0.671642i | ||||
\(894\) | 17296.3 | 0.647063 | ||||||||
\(895\) | 7306.39 | − | 6130.79i | 0.272878 | − | 0.228972i | ||||
\(896\) | −2359.69 | − | 858.857i | −0.0879818 | − | 0.0320228i | ||||
\(897\) | 388.788 | − | 2204.93i | 0.0144719 | − | 0.0820740i | ||||
\(898\) | 3586.34 | + | 20339.2i | 0.133271 | + | 0.755820i | ||||
\(899\) | 12399.1 | − | 4512.89i | 0.459991 | − | 0.167423i | ||||
\(900\) | −91.8555 | + | 159.098i | −0.00340205 | + | 0.00589253i | ||||
\(901\) | −24272.5 | − | 42041.2i | −0.897485 | − | 1.55449i | ||||
\(902\) | −6166.08 | − | 5173.95i | −0.227614 | − | 0.190991i | ||||
\(903\) | −11433.9 | − | 9594.18i | −0.421369 | − | 0.353571i | ||||
\(904\) | −1171.34 | − | 2028.83i | −0.0430955 | − | 0.0746436i | ||||
\(905\) | 6875.43 | − | 11908.6i | 0.252538 | − | 0.437409i | ||||
\(906\) | −8961.67 | + | 3261.78i | −0.328622 | + | 0.119609i | ||||
\(907\) | 3632.55 | + | 20601.2i | 0.132984 | + | 0.754193i | 0.976242 | + | 0.216683i | \(0.0695237\pi\) |
−0.843258 | + | 0.537510i | \(0.819365\pi\) | |||||||
\(908\) | 956.918 | − | 5426.95i | 0.0349740 | − | 0.198348i | ||||
\(909\) | 5930.33 | + | 2158.47i | 0.216388 | + | 0.0787588i | ||||
\(910\) | −2377.46 | + | 1994.93i | −0.0866066 | + | 0.0726716i | ||||
\(911\) | 757.298 | 0.0275416 | 0.0137708 | − | 0.999905i | \(-0.495616\pi\) | ||||
0.0137708 | + | 0.999905i | \(0.495616\pi\) | |||||||
\(912\) | 3146.50 | + | 2951.71i | 0.114244 | + | 0.107172i | ||||
\(913\) | −13951.4 | −0.505722 | ||||||||
\(914\) | 14996.5 | − | 12583.6i | 0.542714 | − | 0.455391i | ||||
\(915\) | 28751.4 | + | 10464.6i | 1.03879 | + | 0.378088i | ||||
\(916\) | 1084.81 | − | 6152.24i | 0.0391299 | − | 0.221917i | ||||
\(917\) | −2476.55 | − | 14045.2i | −0.0891853 | − | 0.505795i | ||||
\(918\) | 24162.5 | − | 8794.44i | 0.868717 | − | 0.316187i | ||||
\(919\) | −12123.8 | + | 20999.1i | −0.435177 | + | 0.753750i | −0.997310 | − | 0.0732976i | \(-0.976648\pi\) |
0.562133 | + | 0.827047i | \(0.309981\pi\) | |||||||
\(920\) | −4249.56 | − | 7360.46i | −0.152287 | − | 0.263769i | ||||
\(921\) | −22608.4 | − | 18970.7i | −0.808871 | − | 0.678724i | ||||
\(922\) | 4156.28 | + | 3487.54i | 0.148460 | + | 0.124573i | ||||
\(923\) | 1875.55 | + | 3248.55i | 0.0668845 | + | 0.115847i | ||||
\(924\) | 1570.77 | − | 2720.66i | 0.0559249 | − | 0.0968647i | ||||
\(925\) | 425.140 | − | 154.738i | 0.0151119 | − | 0.00550028i | ||||
\(926\) | −4469.93 | − | 25350.3i | −0.158630 | − | 0.899634i | ||||
\(927\) | 4157.90 | − | 23580.6i | 0.147317 | − | 0.835479i | ||||
\(928\) | 1354.69 | + | 493.068i | 0.0479202 | + | 0.0174415i | ||||
\(929\) | 12030.4 | − | 10094.7i | 0.424871 | − | 0.356509i | −0.405141 | − | 0.914254i | \(-0.632778\pi\) |
0.830013 | + | 0.557745i | \(0.188333\pi\) | |||||||
\(930\) | −21082.4 | −0.743355 | ||||||||
\(931\) | −1565.21 | − | 3094.62i | −0.0550995 | − | 0.108939i | ||||
\(932\) | −8085.61 | −0.284177 | ||||||||
\(933\) | −15833.7 | + | 13286.0i | −0.555595 | + | 0.466200i | ||||
\(934\) | 25653.5 | + | 9337.11i | 0.898724 | + | 0.327109i | ||||
\(935\) | 2147.59 | − | 12179.6i | 0.0751164 | − | 0.426006i | ||||
\(936\) | 163.017 | + | 924.516i | 0.00569271 | + | 0.0322850i | ||||
\(937\) | −8791.94 | + | 3200.00i | −0.306532 | + | 0.111568i | −0.490706 | − | 0.871325i | \(-0.663261\pi\) |
0.184174 | + | 0.982894i | \(0.441039\pi\) | |||||||
\(938\) | −6301.77 | + | 10915.0i | −0.219360 | + | 0.379943i | ||||
\(939\) | −1424.43 | − | 2467.19i | −0.0495044 | − | 0.0857442i | ||||
\(940\) | −10714.4 | − | 8990.46i | −0.371772 | − | 0.311954i | ||||
\(941\) | 29355.5 | + | 24632.2i | 1.01696 | + | 0.853332i | 0.989243 | − | 0.146284i | \(-0.0467313\pi\) |
0.0277186 | + | 0.999616i | \(0.491176\pi\) | |||||||
\(942\) | 8556.19 | + | 14819.8i | 0.295940 | + | 0.512584i | ||||
\(943\) | −15728.2 | + | 27242.0i | −0.543139 | + | 0.940744i | ||||
\(944\) | −4449.53 | + | 1619.50i | −0.153411 | + | 0.0558370i | ||||
\(945\) | −5321.20 | − | 30178.0i | −0.183173 | − | 1.03883i | ||||
\(946\) | −997.906 | + | 5659.41i | −0.0342967 | + | 0.194507i | ||||
\(947\) | 15996.7 | + | 5822.32i | 0.548915 | + | 0.199789i | 0.601564 | − | 0.798824i | \(-0.294544\pi\) |
−0.0526493 | + | 0.998613i | \(0.516767\pi\) | |||||||
\(948\) | 4544.46 | − | 3813.25i | 0.155693 | − | 0.130642i | ||||
\(949\) | 6856.35 | 0.234527 | ||||||||
\(950\) | −253.799 | + | 388.282i | −0.00866771 | + | 0.0132606i | ||||
\(951\) | 18247.6 | 0.622208 | ||||||||
\(952\) | −10939.2 | + | 9179.05i | −0.372416 | + | 0.312494i | ||||
\(953\) | −33829.4 | − | 12312.9i | −1.14989 | − | 0.418524i | −0.304411 | − | 0.952541i | \(-0.598460\pi\) |
−0.845474 | + | 0.534017i | \(0.820682\pi\) | |||||||
\(954\) | −3038.79 | + | 17233.8i | −0.103128 | + | 0.584870i | ||||
\(955\) | −5309.02 | − | 30108.9i | −0.179891 | − | 1.02021i | ||||
\(956\) | 15614.4 | − | 5683.18i | 0.528249 | − | 0.192267i | ||||
\(957\) | −901.776 | + | 1561.92i | −0.0304601 | + | 0.0527584i | ||||
\(958\) | −2337.06 | − | 4047.91i | −0.0788174 | − | 0.136516i | ||||
\(959\) | −37412.6 | − | 31392.9i | −1.25977 | − | 1.05707i | ||||
\(960\) | −1764.52 | − | 1480.61i | −0.0593225 | − | 0.0497775i | ||||
\(961\) | −27995.5 | − | 48489.6i | −0.939729 | − | 1.62766i | ||||
\(962\) | 1155.96 | − | 2002.19i | 0.0387419 | − | 0.0671030i | ||||
\(963\) | 21676.8 | − | 7889.72i | 0.725365 | − | 0.264011i | ||||
\(964\) | 3157.66 | + | 17908.0i | 0.105499 | + | 0.598316i | ||||
\(965\) | 780.538 | − | 4426.65i | 0.0260377 | − | 0.147667i | ||||
\(966\) | −11536.7 | − | 4199.02i | −0.384252 | − | 0.139856i | ||||
\(967\) | 30893.7 | − | 25922.9i | 1.02738 | − | 0.862073i | 0.0368420 | − | 0.999321i | \(-0.488270\pi\) |
0.990537 | + | 0.137248i | \(0.0438257\pi\) | |||||||
\(968\) | 9438.45 | 0.313392 | ||||||||
\(969\) | 23483.3 | − | 7103.24i | 0.778526 | − | 0.235489i | ||||
\(970\) | 11285.3 | 0.373556 | ||||||||
\(971\) | −11843.2 | + | 9937.64i | −0.391418 | + | 0.328439i | −0.817165 | − | 0.576403i | \(-0.804456\pi\) |
0.425747 | + | 0.904842i | \(0.360011\pi\) | |||||||
\(972\) | −14129.0 | − | 5142.55i | −0.466244 | − | 0.169699i | ||||
\(973\) | −6331.36 | + | 35907.0i | −0.208607 | + | 1.18307i | ||||
\(974\) | −3072.77 | − | 17426.5i | −0.101086 | − | 0.573288i | ||||
\(975\) | 61.3080 | − | 22.3143i | 0.00201377 | − | 0.000732953i | ||||
\(976\) | −6800.96 | + | 11779.6i | −0.223047 | + | 0.386328i | ||||
\(977\) | −29526.3 | − | 51141.1i | −0.966869 | − | 1.67467i | −0.704507 | − | 0.709697i | \(-0.748832\pi\) |
−0.262363 | − | 0.964969i | \(-0.584502\pi\) | |||||||
\(978\) | −4461.35 | − | 3743.52i | −0.145867 | − | 0.122397i | ||||
\(979\) | −13209.2 | − | 11083.8i | −0.431223 | − | 0.361839i | ||||
\(980\) | 925.774 | + | 1603.49i | 0.0301763 | + | 0.0522669i | ||||
\(981\) | 17654.4 | − | 30578.3i | 0.574579 | − | 0.995200i | ||||
\(982\) | 622.291 | − | 226.496i | 0.0202221 | − | 0.00736025i | ||||
\(983\) | 4437.20 | + | 25164.6i | 0.143972 | + | 0.816507i | 0.968187 | + | 0.250229i | \(0.0805060\pi\) |
−0.824214 | + | 0.566278i | \(0.808383\pi\) | |||||||
\(984\) | −1480.39 | + | 8395.73i | −0.0479606 | + | 0.271998i | ||||
\(985\) | 34254.9 | + | 12467.8i | 1.10807 | + | 0.403306i | ||||
\(986\) | 6280.15 | − | 5269.67i | 0.202840 | − | 0.170203i | ||||
\(987\) | −20204.0 | −0.651570 | ||||||||
\(988\) | 281.881 | + | 2353.60i | 0.00907676 | + | 0.0757876i | ||||
\(989\) | 22458.1 | 0.722068 | ||||||||
\(990\) | −3415.25 | + | 2865.73i | −0.109640 | + | 0.0919989i | ||||
\(991\) | 34077.8 | + | 12403.3i | 1.09235 | + | 0.397582i | 0.824490 | − | 0.565876i | \(-0.191462\pi\) |
0.267858 | + | 0.963458i | \(0.413684\pi\) | |||||||
\(992\) | 1627.49 | − | 9229.95i | 0.0520896 | − | 0.295415i | ||||
\(993\) | 949.511 | + | 5384.94i | 0.0303442 | + | 0.172091i | ||||
\(994\) | 19328.5 | − | 7034.99i | 0.616763 | − | 0.224483i | ||||
\(995\) | −2620.46 | + | 4538.78i | −0.0834917 | + | 0.144612i | ||||
\(996\) | 7388.22 | + | 12796.8i | 0.235045 | + | 0.407110i | ||||
\(997\) | 29885.4 | + | 25076.8i | 0.949328 | + | 0.796581i | 0.979184 | − | 0.202973i | \(-0.0650604\pi\) |
−0.0298559 | + | 0.999554i | \(0.509505\pi\) | |||||||
\(998\) | −28711.2 | − | 24091.6i | −0.910660 | − | 0.764134i | ||||
\(999\) | 11413.6 | + | 19769.0i | 0.361472 | + | 0.626088i |
(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 | 38.4.e.b.25.1 | ✓ | 18 | |
19.4 | even | 9 | 722.4.a.t.1.7 | 9 | |||
19.15 | odd | 18 | 722.4.a.u.1.3 | 9 | |||
19.16 | even | 9 | inner | 38.4.e.b.35.1 | yes | 18 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
38.4.e.b.25.1 | ✓ | 18 | 1.1 | even | 1 | trivial | |
38.4.e.b.35.1 | yes | 18 | 19.16 | even | 9 | inner | |
722.4.a.t.1.7 | 9 | 19.4 | even | 9 | |||
722.4.a.u.1.3 | 9 | 19.15 | odd | 18 |