Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [201,4,Mod(5,201)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(201, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 5]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("201.5");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 201 = 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 201.j (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(11.8593839112\) |
Analytic rank: | \(0\) |
Dimension: | \(640\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 5.10 | ||
Character | \(\chi\) | \(=\) | 201.5 |
Dual form | 201.4.j.b.161.10 |
$q$-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 \(\left(\mathbb{Z}/201\mathbb{Z}\right)^\times\).
\(n\) | \(68\) | \(136\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.88756 | + | 3.33242i | −1.02091 | + | 1.17819i | −0.0370345 | + | 0.999314i | \(0.511791\pi\) |
−0.983872 | + | 0.178875i | \(0.942754\pi\) | |||||||
\(3\) | −5.17395 | − | 0.479845i | −0.995727 | − | 0.0923462i | ||||
\(4\) | −1.62851 | − | 11.3266i | −0.203564 | − | 1.41582i | ||||
\(5\) | 8.13953 | − | 2.38998i | 0.728022 | − | 0.213767i | 0.103340 | − | 0.994646i | \(-0.467047\pi\) |
0.624682 | + | 0.780880i | \(0.285229\pi\) | |||||||
\(6\) | 16.5391 | − | 15.8562i | 1.12535 | − | 1.07888i | ||||
\(7\) | 11.0496 | + | 9.57453i | 0.596622 | + | 0.516976i | 0.899998 | − | 0.435895i | \(-0.143568\pi\) |
−0.303375 | + | 0.952871i | \(0.598114\pi\) | |||||||
\(8\) | 12.7717 | + | 8.20789i | 0.564436 | + | 0.362741i | ||||
\(9\) | 26.5395 | + | 4.96539i | 0.982944 | + | 0.183903i | ||||
\(10\) | −15.5390 | + | 34.0256i | −0.491385 | + | 1.07598i | ||||
\(11\) | −54.0832 | + | 15.8803i | −1.48243 | + | 0.435280i | −0.920116 | − | 0.391645i | \(-0.871906\pi\) |
−0.562312 | + | 0.826925i | \(0.690088\pi\) | |||||||
\(12\) | 2.99085 | + | 59.3845i | 0.0719487 | + | 1.42857i | ||||
\(13\) | 10.2544 | + | 15.9561i | 0.218773 | + | 0.340418i | 0.933241 | − | 0.359250i | \(-0.116968\pi\) |
−0.714468 | + | 0.699668i | \(0.753331\pi\) | |||||||
\(14\) | −63.8128 | + | 9.17489i | −1.21819 | + | 0.175149i | ||||
\(15\) | −43.2604 | + | 8.45993i | −0.744652 | + | 0.145623i | ||||
\(16\) | 23.6048 | − | 6.93099i | 0.368825 | − | 0.108297i | ||||
\(17\) | −105.649 | − | 15.1900i | −1.50727 | − | 0.216712i | −0.661370 | − | 0.750060i | \(-0.730025\pi\) |
−0.845896 | + | 0.533347i | \(0.820934\pi\) | |||||||
\(18\) | −93.1811 | + | 74.1029i | −1.22017 | + | 0.970346i | ||||
\(19\) | 46.6891 | + | 53.8821i | 0.563748 | + | 0.650600i | 0.964030 | − | 0.265792i | \(-0.0856334\pi\) |
−0.400282 | + | 0.916392i | \(0.631088\pi\) | |||||||
\(20\) | −40.3256 | − | 88.3008i | −0.450854 | − | 0.987233i | ||||
\(21\) | −52.5758 | − | 54.8402i | −0.546332 | − | 0.569863i | ||||
\(22\) | 103.249 | − | 226.083i | 1.00058 | − | 2.19096i | ||||
\(23\) | 70.2560 | − | 32.0849i | 0.636930 | − | 0.290876i | −0.0706588 | − | 0.997501i | \(-0.522510\pi\) |
0.707589 | + | 0.706624i | \(0.249783\pi\) | |||||||
\(24\) | −62.1417 | − | 48.5956i | −0.528526 | − | 0.413314i | ||||
\(25\) | −44.6167 | + | 28.6734i | −0.356934 | + | 0.229387i | ||||
\(26\) | −82.7827 | − | 11.9024i | −0.624424 | − | 0.0897786i | ||||
\(27\) | −134.931 | − | 38.4255i | −0.961761 | − | 0.273889i | ||||
\(28\) | 90.4521 | − | 140.746i | 0.610494 | − | 0.949947i | ||||
\(29\) | − | 12.8774i | − | 0.0824579i | −0.999150 | − | 0.0412290i | \(-0.986873\pi\) | ||
0.999150 | − | 0.0412290i | \(-0.0131273\pi\) | |||||||
\(30\) | 96.7248 | − | 168.590i | 0.588648 | − | 1.02601i | ||||
\(31\) | 58.8163 | − | 91.5200i | 0.340765 | − | 0.530241i | −0.628002 | − | 0.778211i | \(-0.716127\pi\) |
0.968768 | + | 0.247970i | \(0.0797636\pi\) | |||||||
\(32\) | −95.5172 | + | 209.153i | −0.527663 | + | 1.15542i | ||||
\(33\) | 287.444 | − | 56.2121i | 1.51629 | − | 0.296523i | ||||
\(34\) | 355.686 | − | 308.203i | 1.79411 | − | 1.55460i | ||||
\(35\) | 112.822 | + | 51.5239i | 0.544866 | + | 0.248832i | ||||
\(36\) | 13.0208 | − | 308.687i | 0.0602817 | − | 1.42911i | ||||
\(37\) | −139.752 | −0.620947 | −0.310474 | − | 0.950582i | \(-0.600488\pi\) | ||||
−0.310474 | + | 0.950582i | \(0.600488\pi\) | |||||||
\(38\) | −314.375 | −1.34206 | ||||||||
\(39\) | −45.3992 | − | 87.4767i | −0.186402 | − | 0.359166i | ||||
\(40\) | 123.573 | + | 36.2842i | 0.488464 | + | 0.143426i | ||||
\(41\) | 38.6149 | − | 268.572i | 0.147089 | − | 1.02302i | −0.773865 | − | 0.633351i | \(-0.781679\pi\) |
0.920953 | − | 0.389673i | \(-0.127412\pi\) | |||||||
\(42\) | 334.566 | − | 16.8502i | 1.22916 | − | 0.0619056i | ||||
\(43\) | −190.499 | − | 27.3896i | −0.675601 | − | 0.0971368i | −0.204030 | − | 0.978965i | \(-0.565404\pi\) |
−0.471571 | + | 0.881828i | \(0.656313\pi\) | |||||||
\(44\) | 267.944 | + | 586.715i | 0.918047 | + | 2.01024i | ||||
\(45\) | 227.886 | − | 23.0130i | 0.754917 | − | 0.0762350i | ||||
\(46\) | −95.9482 | + | 326.770i | −0.307539 | + | 1.04738i | ||||
\(47\) | −130.669 | + | 59.6745i | −0.405533 | + | 0.185201i | −0.607729 | − | 0.794144i | \(-0.707919\pi\) |
0.202196 | + | 0.979345i | \(0.435192\pi\) | |||||||
\(48\) | −125.456 | + | 24.5340i | −0.377250 | + | 0.0737744i | ||||
\(49\) | −18.3920 | − | 127.919i | −0.0536210 | − | 0.372942i | ||||
\(50\) | 33.2815 | − | 231.478i | 0.0941343 | − | 0.654718i | ||||
\(51\) | 539.331 | + | 129.287i | 1.48081 | + | 0.354977i | ||||
\(52\) | 164.029 | − | 142.132i | 0.437436 | − | 0.379040i | ||||
\(53\) | −94.7455 | − | 658.969i | −0.245553 | − | 1.70786i | −0.623330 | − | 0.781959i | \(-0.714220\pi\) |
0.377777 | − | 0.925897i | \(-0.376689\pi\) | |||||||
\(54\) | 517.672 | − | 338.692i | 1.30456 | − | 0.853522i | ||||
\(55\) | −402.259 | + | 258.516i | −0.986192 | + | 0.633787i | ||||
\(56\) | 62.5357 | + | 212.977i | 0.149227 | + | 0.508219i | ||||
\(57\) | −215.712 | − | 301.187i | −0.501259 | − | 0.699880i | ||||
\(58\) | 42.9130 | + | 37.1844i | 0.0971510 | + | 0.0841818i | ||||
\(59\) | −234.360 | + | 364.671i | −0.517136 | + | 0.804679i | −0.997371 | − | 0.0724605i | \(-0.976915\pi\) |
0.480235 | + | 0.877140i | \(0.340551\pi\) | |||||||
\(60\) | 166.272 | + | 476.214i | 0.357760 | + | 1.02465i | ||||
\(61\) | 186.996 | − | 636.849i | 0.392497 | − | 1.33672i | −0.492169 | − | 0.870499i | \(-0.663796\pi\) |
0.884667 | − | 0.466224i | \(-0.154386\pi\) | |||||||
\(62\) | 135.147 | + | 460.270i | 0.276835 | + | 0.942812i | ||||
\(63\) | 245.710 | + | 308.969i | 0.491373 | + | 0.617880i | ||||
\(64\) | −339.418 | − | 743.221i | −0.662925 | − | 1.45160i | ||||
\(65\) | 121.601 | + | 105.368i | 0.232042 | + | 0.201065i | ||||
\(66\) | −642.689 | + | 1120.20i | −1.19863 | + | 2.08920i | ||||
\(67\) | −477.397 | − | 269.916i | −0.870498 | − | 0.492172i | ||||
\(68\) | 1221.37i | 2.17813i | ||||||||
\(69\) | −378.897 | + | 132.293i | −0.661070 | + | 0.230815i | ||||
\(70\) | −497.478 | + | 227.191i | −0.849429 | + | 0.387921i | ||||
\(71\) | −547.687 | + | 78.7455i | −0.915472 | + | 0.131625i | −0.583919 | − | 0.811812i | \(-0.698482\pi\) |
−0.331553 | + | 0.943437i | \(0.607572\pi\) | |||||||
\(72\) | 298.200 | + | 281.250i | 0.488100 | + | 0.460356i | ||||
\(73\) | −802.383 | − | 235.601i | −1.28646 | − | 0.377740i | −0.434183 | − | 0.900825i | \(-0.642963\pi\) |
−0.852281 | + | 0.523085i | \(0.824781\pi\) | |||||||
\(74\) | 403.541 | − | 465.712i | 0.633929 | − | 0.731593i | ||||
\(75\) | 244.603 | − | 126.946i | 0.376591 | − | 0.195446i | ||||
\(76\) | 534.265 | − | 616.574i | 0.806373 | − | 0.930604i | ||||
\(77\) | −749.644 | − | 342.351i | −1.10948 | − | 0.506682i | ||||
\(78\) | 422.602 | + | 101.305i | 0.613465 | + | 0.147058i | ||||
\(79\) | 368.963 | + | 574.118i | 0.525463 | + | 0.817637i | 0.997970 | − | 0.0636904i | \(-0.0202870\pi\) |
−0.472506 | + | 0.881327i | \(0.656651\pi\) | |||||||
\(80\) | 175.567 | − | 112.830i | 0.245362 | − | 0.157685i | ||||
\(81\) | 679.690 | + | 263.558i | 0.932359 | + | 0.361533i | ||||
\(82\) | 783.494 | + | 904.200i | 1.05515 | + | 1.21771i | ||||
\(83\) | 24.8641 | + | 84.6795i | 0.0328818 | + | 0.111985i | 0.974299 | − | 0.225260i | \(-0.0723231\pi\) |
−0.941417 | + | 0.337245i | \(0.890505\pi\) | |||||||
\(84\) | −535.531 | + | 684.810i | −0.695609 | + | 0.889511i | ||||
\(85\) | −896.234 | + | 128.859i | −1.14365 | + | 0.164432i | ||||
\(86\) | 641.352 | − | 555.734i | 0.804171 | − | 0.696818i | ||||
\(87\) | −6.17917 | + | 66.6272i | −0.00761468 | + | 0.0821056i | ||||
\(88\) | −821.079 | − | 241.091i | −0.994629 | − | 0.292049i | ||||
\(89\) | −679.889 | − | 310.495i | −0.809754 | − | 0.369802i | −0.0328808 | − | 0.999459i | \(-0.510468\pi\) |
−0.776873 | + | 0.629657i | \(0.783195\pi\) | |||||||
\(90\) | −581.346 | + | 825.865i | −0.680881 | + | 0.967264i | ||||
\(91\) | −39.4657 | + | 274.490i | −0.0454629 | + | 0.316202i | ||||
\(92\) | −477.824 | − | 743.508i | −0.541484 | − | 0.842566i | ||||
\(93\) | −348.228 | + | 445.297i | −0.388275 | + | 0.496507i | ||||
\(94\) | 178.454 | − | 607.758i | 0.195810 | − | 0.666867i | ||||
\(95\) | 508.805 | + | 326.989i | 0.549497 | + | 0.353141i | ||||
\(96\) | 594.562 | − | 1036.32i | 0.632107 | − | 1.10176i | ||||
\(97\) | 497.695i | 0.520962i | 0.965479 | + | 0.260481i | \(0.0838811\pi\) | ||||
−0.965479 | + | 0.260481i | \(0.916119\pi\) | |||||||
\(98\) | 479.389 | + | 308.084i | 0.494139 | + | 0.317564i | ||||
\(99\) | −1514.19 | + | 152.910i | −1.53719 | + | 0.155233i | ||||
\(100\) | 397.430 | + | 458.659i | 0.397430 | + | 0.458659i | ||||
\(101\) | −772.637 | − | 891.671i | −0.761191 | − | 0.878461i | 0.234412 | − | 0.972137i | \(-0.424683\pi\) |
−0.995603 | + | 0.0936766i | \(0.970138\pi\) | |||||||
\(102\) | −1988.19 | + | 1423.95i | −1.93000 | + | 1.38228i | ||||
\(103\) | −22.6861 | − | 14.5794i | −0.0217022 | − | 0.0139471i | 0.529745 | − | 0.848157i | \(-0.322288\pi\) |
−0.551447 | + | 0.834210i | \(0.685924\pi\) | |||||||
\(104\) | 287.954i | 0.271502i | ||||||||
\(105\) | −559.010 | − | 320.719i | −0.519559 | − | 0.298085i | ||||
\(106\) | 2469.55 | + | 1587.08i | 2.26286 | + | 1.45425i | ||||
\(107\) | −325.781 | + | 1109.51i | −0.294340 | + | 1.00243i | 0.671005 | + | 0.741453i | \(0.265863\pi\) |
−0.965345 | + | 0.260977i | \(0.915955\pi\) | |||||||
\(108\) | −215.491 | + | 1590.88i | −0.191997 | + | 1.41743i | ||||
\(109\) | −35.2897 | − | 54.9118i | −0.0310105 | − | 0.0482532i | 0.825402 | − | 0.564545i | \(-0.190948\pi\) |
−0.856413 | + | 0.516292i | \(0.827312\pi\) | |||||||
\(110\) | 300.062 | − | 2086.98i | 0.260089 | − | 1.80896i | ||||
\(111\) | 723.068 | + | 67.0592i | 0.618294 | + | 0.0573421i | ||||
\(112\) | 327.185 | + | 149.420i | 0.276036 | + | 0.126061i | ||||
\(113\) | 1665.56 | + | 489.053i | 1.38657 | + | 0.407135i | 0.888052 | − | 0.459742i | \(-0.152058\pi\) |
0.498522 | + | 0.866877i | \(0.333876\pi\) | |||||||
\(114\) | 1626.56 | + | 150.851i | 1.33633 | + | 0.123934i | ||||
\(115\) | 495.169 | − | 429.066i | 0.401520 | − | 0.347919i | ||||
\(116\) | −145.857 | + | 20.9711i | −0.116746 | + | 0.0167855i | ||||
\(117\) | 192.918 | + | 474.385i | 0.152438 | + | 0.374845i | ||||
\(118\) | −538.509 | − | 1833.99i | −0.420117 | − | 1.43079i | ||||
\(119\) | −1021.94 | − | 1179.38i | −0.787234 | − | 0.908516i | ||||
\(120\) | −621.947 | − | 247.028i | −0.473131 | − | 0.187921i | ||||
\(121\) | 1553.10 | − | 998.119i | 1.16687 | − | 0.749902i | ||||
\(122\) | 1582.29 | + | 2462.09i | 1.17421 | + | 1.82711i | ||||
\(123\) | −328.665 | + | 1371.05i | −0.240932 | + | 1.00507i | ||||
\(124\) | −1132.39 | − | 517.145i | −0.820093 | − | 0.374524i | ||||
\(125\) | −989.041 | + | 1141.41i | −0.707700 | + | 0.816730i | ||||
\(126\) | −1739.12 | − | 73.3582i | −1.22962 | − | 0.0518672i | ||||
\(127\) | −1478.72 | + | 1706.53i | −1.03319 | + | 1.19236i | −0.0521333 | + | 0.998640i | \(0.516602\pi\) |
−0.981056 | + | 0.193724i | \(0.937943\pi\) | |||||||
\(128\) | 1691.87 | + | 496.778i | 1.16829 | + | 0.343042i | ||||
\(129\) | 972.490 | + | 233.123i | 0.663744 | + | 0.159111i | ||||
\(130\) | −702.259 | + | 100.970i | −0.473786 | + | 0.0681201i | ||||
\(131\) | 2413.30 | − | 1102.12i | 1.60955 | − | 0.735056i | 0.611144 | − | 0.791520i | \(-0.290710\pi\) |
0.998405 | + | 0.0564634i | \(0.0179824\pi\) | |||||||
\(132\) | −1104.80 | − | 3164.21i | −0.728486 | − | 2.08643i | ||||
\(133\) | 1042.40i | 0.679607i | ||||||||
\(134\) | 2277.99 | − | 811.489i | 1.46857 | − | 0.523149i | ||||
\(135\) | −1190.11 | + | 9.71790i | −0.758732 | + | 0.00619543i | ||||
\(136\) | −1224.64 | − | 1061.15i | −0.772145 | − | 0.669067i | ||||
\(137\) | 138.233 | + | 302.688i | 0.0862046 | + | 0.188762i | 0.947825 | − | 0.318792i | \(-0.103277\pi\) |
−0.861620 | + | 0.507554i | \(0.830550\pi\) | |||||||
\(138\) | 653.230 | − | 1644.65i | 0.402947 | − | 1.01451i | ||||
\(139\) | −287.278 | − | 978.380i | −0.175299 | − | 0.597015i | −0.999527 | − | 0.0307562i | \(-0.990208\pi\) |
0.824228 | − | 0.566259i | \(-0.191610\pi\) | |||||||
\(140\) | 399.857 | − | 1361.79i | 0.241386 | − | 0.822086i | ||||
\(141\) | 704.709 | − | 246.052i | 0.420902 | − | 0.146960i | ||||
\(142\) | 1319.07 | − | 2052.51i | 0.779532 | − | 1.21298i | ||||
\(143\) | −807.978 | − | 700.117i | −0.472493 | − | 0.409417i | ||||
\(144\) | 660.874 | − | 66.7381i | 0.382450 | − | 0.0386216i | ||||
\(145\) | −30.7768 | − | 104.816i | −0.0176267 | − | 0.0600312i | ||||
\(146\) | 3102.05 | − | 1993.57i | 1.75841 | − | 1.13006i | ||||
\(147\) | 33.7779 | + | 670.673i | 0.0189521 | + | 0.376300i | ||||
\(148\) | 227.587 | + | 1582.91i | 0.126403 | + | 0.879149i | ||||
\(149\) | −1654.63 | + | 1433.74i | −0.909749 | + | 0.788302i | −0.977835 | − | 0.209378i | \(-0.932856\pi\) |
0.0680862 | + | 0.997679i | \(0.478311\pi\) | |||||||
\(150\) | −283.270 | + | 1181.68i | −0.154193 | + | 0.643228i | ||||
\(151\) | 449.454 | − | 3126.02i | 0.242225 | − | 1.68471i | −0.398676 | − | 0.917092i | \(-0.630530\pi\) |
0.640902 | − | 0.767623i | \(-0.278561\pi\) | |||||||
\(152\) | 154.042 | + | 1071.39i | 0.0822004 | + | 0.571716i | ||||
\(153\) | −2728.43 | − | 927.720i | −1.44171 | − | 0.490207i | ||||
\(154\) | 3305.50 | − | 1509.57i | 1.72964 | − | 0.789901i | ||||
\(155\) | 260.006 | − | 885.500i | 0.134737 | − | 0.458871i | ||||
\(156\) | −916.877 | + | 656.673i | −0.470570 | + | 0.337025i | ||||
\(157\) | −146.534 | − | 320.864i | −0.0744883 | − | 0.163107i | 0.868725 | − | 0.495295i | \(-0.164940\pi\) |
−0.943213 | + | 0.332189i | \(0.892213\pi\) | |||||||
\(158\) | −2978.61 | − | 428.259i | −1.49978 | − | 0.215636i | ||||
\(159\) | 174.005 | + | 3454.94i | 0.0867893 | + | 1.72323i | ||||
\(160\) | −277.592 | + | 1930.70i | −0.137160 | + | 0.953968i | ||||
\(161\) | 1083.50 | + | 318.144i | 0.530383 | + | 0.155734i | ||||
\(162\) | −2840.93 | + | 1503.97i | −1.37781 | + | 0.729403i | ||||
\(163\) | −2291.17 | −1.10097 | −0.550486 | − | 0.834845i | \(-0.685557\pi\) | ||||
−0.550486 | + | 0.834845i | \(0.685557\pi\) | |||||||
\(164\) | −3104.89 | −1.47836 | ||||||||
\(165\) | 2205.31 | − | 1144.53i | 1.04051 | − | 0.540008i | ||||
\(166\) | −353.984 | − | 161.659i | −0.165509 | − | 0.0755855i | ||||
\(167\) | 1926.34 | − | 1669.19i | 0.892605 | − | 0.773446i | −0.0821745 | − | 0.996618i | \(-0.526186\pi\) |
0.974779 | + | 0.223172i | \(0.0716410\pi\) | |||||||
\(168\) | −221.361 | − | 1131.94i | −0.101657 | − | 0.519828i | ||||
\(169\) | 763.221 | − | 1671.22i | 0.347392 | − | 0.760683i | ||||
\(170\) | 2158.52 | − | 3358.72i | 0.973827 | − | 1.51530i | ||||
\(171\) | 971.559 | + | 1661.83i | 0.434485 | + | 0.743178i | ||||
\(172\) | 2202.30i | 0.976303i | ||||||||
\(173\) | −1124.05 | + | 1749.05i | −0.493986 | + | 0.768658i | −0.995324 | − | 0.0965941i | \(-0.969205\pi\) |
0.501338 | + | 0.865252i | \(0.332841\pi\) | |||||||
\(174\) | −204.187 | − | 212.982i | −0.0889620 | − | 0.0927936i | ||||
\(175\) | −767.531 | − | 110.354i | −0.331542 | − | 0.0476686i | ||||
\(176\) | −1166.56 | + | 749.701i | −0.499617 | + | 0.321084i | ||||
\(177\) | 1387.55 | − | 1774.33i | 0.589235 | − | 0.753485i | ||||
\(178\) | 2997.92 | − | 1369.10i | 1.26238 | − | 0.576510i | ||||
\(179\) | −153.755 | + | 336.676i | −0.0642020 | + | 0.140583i | −0.939013 | − | 0.343881i | \(-0.888258\pi\) |
0.874811 | + | 0.484464i | \(0.160985\pi\) | |||||||
\(180\) | −631.774 | − | 2543.69i | −0.261609 | − | 1.05331i | ||||
\(181\) | −692.893 | − | 1517.22i | −0.284543 | − | 0.623063i | 0.712350 | − | 0.701824i | \(-0.247631\pi\) |
−0.996894 | + | 0.0787613i | \(0.974904\pi\) | |||||||
\(182\) | −800.756 | − | 924.122i | −0.326132 | − | 0.376376i | ||||
\(183\) | −1273.09 | + | 3205.29i | −0.514262 | + | 1.29477i | ||||
\(184\) | 1160.64 | + | 166.875i | 0.465019 | + | 0.0668596i | ||||
\(185\) | −1137.51 | + | 334.004i | −0.452063 | + | 0.132738i | ||||
\(186\) | −478.388 | − | 2446.26i | −0.188587 | − | 0.964348i | ||||
\(187\) | 5955.03 | − | 856.205i | 2.32874 | − | 0.334823i | ||||
\(188\) | 888.703 | + | 1382.85i | 0.344762 | + | 0.536461i | ||||
\(189\) | −1123.03 | − | 1716.49i | −0.432214 | − | 0.660616i | ||||
\(190\) | −2558.87 | + | 751.351i | −0.977052 | + | 0.286888i | ||||
\(191\) | 641.718 | − | 1405.17i | 0.243105 | − | 0.532326i | −0.748268 | − | 0.663397i | \(-0.769114\pi\) |
0.991373 | + | 0.131071i | \(0.0418415\pi\) | |||||||
\(192\) | 1399.50 | + | 4008.26i | 0.526042 | + | 1.50662i | ||||
\(193\) | −2928.48 | − | 1882.02i | −1.09221 | − | 0.701922i | −0.134865 | − | 0.990864i | \(-0.543060\pi\) |
−0.957346 | + | 0.288942i | \(0.906696\pi\) | |||||||
\(194\) | −1658.53 | − | 1437.12i | −0.613791 | − | 0.531853i | ||||
\(195\) | −578.596 | − | 603.516i | −0.212483 | − | 0.221634i | ||||
\(196\) | −1418.93 | + | 416.636i | −0.517104 | + | 0.151835i | ||||
\(197\) | 485.189 | + | 3374.56i | 0.175474 | + | 1.22045i | 0.867079 | + | 0.498170i | \(0.165995\pi\) |
−0.691606 | + | 0.722275i | \(0.743096\pi\) | |||||||
\(198\) | 3862.76 | − | 5487.47i | 1.38644 | − | 1.96958i | ||||
\(199\) | −1670.96 | + | 1928.39i | −0.595233 | + | 0.686935i | −0.970808 | − | 0.239856i | \(-0.922900\pi\) |
0.375576 | + | 0.926792i | \(0.377445\pi\) | |||||||
\(200\) | −805.180 | −0.284674 | ||||||||
\(201\) | 2340.51 | + | 1625.61i | 0.821328 | + | 0.570456i | ||||
\(202\) | 5202.46 | 1.81210 | ||||||||
\(203\) | 123.295 | − | 142.290i | 0.0426288 | − | 0.0491962i | ||||
\(204\) | 586.069 | − | 6319.31i | 0.201142 | − | 2.16882i | ||||
\(205\) | −327.576 | − | 2278.34i | −0.111604 | − | 0.776226i | ||||
\(206\) | 114.092 | − | 33.5005i | 0.0385882 | − | 0.0113305i | ||||
\(207\) | 2023.87 | − | 502.667i | 0.679560 | − | 0.168782i | ||||
\(208\) | 352.644 | + | 305.568i | 0.117555 | + | 0.101862i | ||||
\(209\) | −3380.76 | − | 2172.68i | −1.11891 | − | 0.719079i | ||||
\(210\) | 2682.94 | − | 936.760i | 0.881622 | − | 0.307822i | ||||
\(211\) | −2531.93 | + | 5544.16i | −0.826092 | + | 1.80889i | −0.316036 | + | 0.948747i | \(0.602352\pi\) |
−0.510056 | + | 0.860141i | \(0.670375\pi\) | |||||||
\(212\) | −7309.56 | + | 2146.28i | −2.36803 | + | 0.695316i | ||||
\(213\) | 2871.49 | − | 144.620i | 0.923715 | − | 0.0465222i | ||||
\(214\) | −2756.63 | − | 4289.40i | −0.880559 | − | 1.37018i | ||||
\(215\) | −1616.04 | + | 232.351i | −0.512617 | + | 0.0737032i | ||||
\(216\) | −1407.91 | − | 1598.26i | −0.443502 | − | 0.503463i | ||||
\(217\) | 1526.16 | − | 448.120i | 0.477430 | − | 0.140186i | ||||
\(218\) | 284.890 | + | 40.9611i | 0.0885102 | + | 0.0127258i | ||||
\(219\) | 4038.44 | + | 1604.01i | 1.24608 | + | 0.494926i | ||||
\(220\) | 3583.18 | + | 4135.21i | 1.09808 | + | 1.26725i | ||||
\(221\) | −840.987 | − | 1841.51i | −0.255977 | − | 0.560512i | ||||
\(222\) | −2311.37 | + | 2215.93i | −0.698780 | + | 0.669926i | ||||
\(223\) | −2287.28 | + | 5008.45i | −0.686851 | + | 1.50399i | 0.168367 | + | 0.985724i | \(0.446151\pi\) |
−0.855218 | + | 0.518269i | \(0.826577\pi\) | |||||||
\(224\) | −3057.97 | + | 1396.53i | −0.912140 | + | 0.416560i | ||||
\(225\) | −1326.48 | + | 539.439i | −0.393031 | + | 0.159834i | ||||
\(226\) | −6439.14 | + | 4138.18i | −1.89524 | + | 1.21800i | ||||
\(227\) | 2336.05 | + | 335.874i | 0.683036 | + | 0.0982058i | 0.475094 | − | 0.879935i | \(-0.342414\pi\) |
0.207943 | + | 0.978141i | \(0.433323\pi\) | |||||||
\(228\) | −3060.12 | + | 2933.76i | −0.888865 | + | 0.852162i | ||||
\(229\) | −20.5825 | + | 32.0269i | −0.00593942 | + | 0.00924191i | −0.844211 | − | 0.536012i | \(-0.819930\pi\) |
0.838271 | + | 0.545254i | \(0.183567\pi\) | |||||||
\(230\) | 2889.07i | 0.828258i | ||||||||
\(231\) | 3714.34 | + | 2131.02i | 1.05795 | + | 0.606973i | ||||
\(232\) | 105.697 | − | 164.467i | 0.0299109 | − | 0.0465422i | ||||
\(233\) | −44.3802 | + | 97.1790i | −0.0124783 | + | 0.0273236i | −0.915769 | − | 0.401706i | \(-0.868417\pi\) |
0.903290 | + | 0.429030i | \(0.141145\pi\) | |||||||
\(234\) | −2137.91 | − | 726.931i | −0.597263 | − | 0.203081i | ||||
\(235\) | −920.964 | + | 798.020i | −0.255647 | + | 0.221519i | ||||
\(236\) | 4512.12 | + | 2060.62i | 1.24455 | + | 0.568367i | ||||
\(237\) | −1633.51 | − | 3147.50i | −0.447712 | − | 0.862668i | ||||
\(238\) | 6881.09 | 1.87410 | ||||||||
\(239\) | 1533.92 | 0.415151 | 0.207576 | − | 0.978219i | \(-0.433443\pi\) | ||||
0.207576 | + | 0.978219i | \(0.433443\pi\) | |||||||
\(240\) | −962.516 | + | 499.532i | −0.258876 | + | 0.134353i | ||||
\(241\) | 286.564 | + | 84.1427i | 0.0765942 | + | 0.0224901i | 0.319805 | − | 0.947483i | \(-0.396383\pi\) |
−0.243211 | + | 0.969973i | \(0.578201\pi\) | |||||||
\(242\) | −1158.53 | + | 8057.72i | −0.307739 | + | 2.14037i | ||||
\(243\) | −3390.21 | − | 1689.78i | −0.894989 | − | 0.446088i | ||||
\(244\) | −7517.83 | − | 1080.90i | −1.97246 | − | 0.283597i | ||||
\(245\) | −455.427 | − | 997.246i | −0.118760 | − | 0.260048i | ||||
\(246\) | −3619.88 | − | 5054.24i | −0.938192 | − | 1.30995i | ||||
\(247\) | −380.982 | + | 1297.50i | −0.0981428 | + | 0.334244i | ||||
\(248\) | 1502.37 | − | 686.110i | 0.384680 | − | 0.175678i | ||||
\(249\) | −88.0127 | − | 450.058i | −0.0223999 | − | 0.114543i | ||||
\(250\) | −947.758 | − | 6591.80i | −0.239766 | − | 1.66761i | ||||
\(251\) | −700.461 | + | 4871.81i | −0.176146 | + | 1.22512i | 0.689432 | + | 0.724351i | \(0.257860\pi\) |
−0.865578 | + | 0.500774i | \(0.833049\pi\) | |||||||
\(252\) | 3099.41 | − | 3286.20i | 0.774780 | − | 0.821473i | ||||
\(253\) | −3290.16 | + | 2850.94i | −0.817590 | + | 0.708446i | ||||
\(254\) | −1417.00 | − | 9855.43i | −0.350040 | − | 2.43458i | ||||
\(255\) | 4698.90 | − | 236.656i | 1.15395 | − | 0.0581176i | ||||
\(256\) | −1042.03 | + | 669.673i | −0.254402 | + | 0.163494i | ||||
\(257\) | −95.8516 | − | 326.440i | −0.0232648 | − | 0.0792327i | 0.947042 | − | 0.321109i | \(-0.104055\pi\) |
−0.970307 | + | 0.241876i | \(0.922237\pi\) | |||||||
\(258\) | −3584.99 | + | 2567.59i | −0.865083 | + | 0.619579i | ||||
\(259\) | −1544.20 | − | 1338.06i | −0.370471 | − | 0.321015i | ||||
\(260\) | 995.424 | − | 1548.91i | 0.237437 | − | 0.369459i | ||||
\(261\) | 63.9415 | − | 341.761i | 0.0151643 | − | 0.0810515i | ||||
\(262\) | −3295.83 | + | 11224.6i | −0.777163 | + | 2.64678i | ||||
\(263\) | 739.843 | + | 2519.67i | 0.173463 | + | 0.590760i | 0.999626 | + | 0.0273296i | \(0.00870036\pi\) |
−0.826164 | + | 0.563430i | \(0.809481\pi\) | |||||||
\(264\) | 4132.54 | + | 1641.38i | 0.963409 | + | 0.382652i | ||||
\(265\) | −2346.11 | − | 5137.26i | −0.543850 | − | 1.19087i | ||||
\(266\) | −3473.72 | − | 3010.00i | −0.800705 | − | 0.693815i | ||||
\(267\) | 3368.72 | + | 1932.73i | 0.772144 | + | 0.443000i | ||||
\(268\) | −2279.78 | + | 5846.83i | −0.519625 | + | 1.33266i | ||||
\(269\) | 3040.33i | 0.689115i | 0.938765 | + | 0.344558i | \(0.111971\pi\) | ||||
−0.938765 | + | 0.344558i | \(0.888029\pi\) | |||||||
\(270\) | 3404.14 | − | 3994.02i | 0.767295 | − | 0.900254i | ||||
\(271\) | 5525.34 | − | 2523.34i | 1.23853 | − | 0.565616i | 0.314978 | − | 0.949099i | \(-0.398003\pi\) |
0.923548 | + | 0.383484i | \(0.125276\pi\) | |||||||
\(272\) | −2599.09 | + | 373.693i | −0.579387 | + | 0.0833032i | ||||
\(273\) | 335.906 | − | 1401.26i | 0.0744687 | − | 0.310652i | ||||
\(274\) | −1407.84 | − | 413.379i | −0.310404 | − | 0.0911428i | ||||
\(275\) | 1957.67 | − | 2259.28i | 0.429281 | − | 0.495416i | ||||
\(276\) | 2115.47 | + | 4076.15i | 0.461363 | + | 0.888970i | ||||
\(277\) | 708.719 | − | 817.905i | 0.153728 | − | 0.177412i | −0.673661 | − | 0.739040i | \(-0.735279\pi\) |
0.827390 | + | 0.561628i | \(0.189825\pi\) | |||||||
\(278\) | 4089.91 | + | 1867.80i | 0.882361 | + | 0.402961i | ||||
\(279\) | 2015.39 | − | 2136.85i | 0.432466 | − | 0.458529i | ||||
\(280\) | 1018.02 | + | 1584.08i | 0.217281 | + | 0.338095i | ||||
\(281\) | 5201.83 | − | 3343.02i | 1.10433 | − | 0.709707i | 0.144276 | − | 0.989537i | \(-0.453915\pi\) |
0.960049 | + | 0.279831i | \(0.0902783\pi\) | |||||||
\(282\) | −1214.94 | + | 3058.88i | −0.256556 | + | 0.645935i | ||||
\(283\) | 4654.29 | + | 5371.34i | 0.977628 | + | 1.12824i | 0.991730 | + | 0.128343i | \(0.0409658\pi\) |
−0.0141014 | + | 0.999901i | \(0.504489\pi\) | |||||||
\(284\) | 1783.83 | + | 6075.17i | 0.372714 | + | 1.26935i | ||||
\(285\) | −2475.63 | − | 1935.97i | −0.514538 | − | 0.402376i | ||||
\(286\) | 4666.17 | − | 670.893i | 0.964742 | − | 0.138709i | ||||
\(287\) | 2998.13 | − | 2597.90i | 0.616635 | − | 0.534317i | ||||
\(288\) | −3573.51 | + | 5076.55i | −0.731149 | + | 1.03867i | ||||
\(289\) | 6216.89 | + | 1825.44i | 1.26540 | + | 0.371554i | ||||
\(290\) | 438.162 | + | 200.102i | 0.0887233 | + | 0.0405186i | ||||
\(291\) | 238.817 | − | 2575.05i | 0.0481089 | − | 0.518736i | ||||
\(292\) | −1361.86 | + | 9471.91i | −0.272933 | + | 1.89829i | ||||
\(293\) | −1219.95 | − | 1898.28i | −0.243243 | − | 0.378494i | 0.698069 | − | 0.716030i | \(-0.254043\pi\) |
−0.941313 | + | 0.337536i | \(0.890406\pi\) | |||||||
\(294\) | −2332.50 | − | 1824.05i | −0.462701 | − | 0.361838i | ||||
\(295\) | −1036.02 | + | 3528.36i | −0.204473 | + | 0.696370i | ||||
\(296\) | −1784.87 | − | 1147.07i | −0.350485 | − | 0.225243i | ||||
\(297\) | 7907.73 | − | 64.5707i | 1.54496 | − | 0.0126154i | ||||
\(298\) | − | 9653.95i | − | 1.87664i | ||||||
\(299\) | 1232.38 | + | 792.004i | 0.238363 | + | 0.153187i | ||||
\(300\) | −1836.20 | − | 2563.78i | −0.353376 | − | 0.493400i | ||||
\(301\) | −1842.70 | − | 2126.59i | −0.352861 | − | 0.407224i | ||||
\(302\) | 9119.39 | + | 10524.3i | 1.73762 | + | 2.00532i | ||||
\(303\) | 3569.72 | + | 4984.20i | 0.676815 | + | 0.945000i | ||||
\(304\) | 1475.54 | + | 948.274i | 0.278382 | + | 0.178905i | ||||
\(305\) | − | 5630.57i | − | 1.05707i | ||||||
\(306\) | 10970.1 | − | 6413.45i | 2.04940 | − | 1.19814i | ||||
\(307\) | −4764.95 | − | 3062.25i | −0.885831 | − | 0.569289i | 0.0167256 | − | 0.999860i | \(-0.494676\pi\) |
−0.902557 | + | 0.430571i | \(0.858312\pi\) | |||||||
\(308\) | −2656.85 | + | 9048.41i | −0.491520 | + | 1.67396i | ||||
\(309\) | 110.381 | + | 86.3191i | 0.0203215 | + | 0.0158917i | ||||
\(310\) | 2200.07 | + | 3423.38i | 0.403083 | + | 0.627210i | ||||
\(311\) | 292.701 | − | 2035.78i | 0.0533683 | − | 0.371185i | −0.945582 | − | 0.325383i | \(-0.894507\pi\) |
0.998951 | − | 0.0458015i | \(-0.0145842\pi\) | |||||||
\(312\) | 138.173 | − | 1489.86i | 0.0250722 | − | 0.270342i | ||||
\(313\) | 649.681 | + | 296.700i | 0.117323 | + | 0.0535797i | 0.473212 | − | 0.880949i | \(-0.343095\pi\) |
−0.355889 | + | 0.934528i | \(0.615822\pi\) | |||||||
\(314\) | 1492.38 | + | 438.202i | 0.268216 | + | 0.0787553i | ||||
\(315\) | 2738.39 | + | 1927.62i | 0.489812 | + | 0.344791i | ||||
\(316\) | 5901.92 | − | 5114.04i | 1.05066 | − | 0.910403i | ||||
\(317\) | −3165.25 | + | 455.094i | −0.560814 | + | 0.0806329i | −0.416892 | − | 0.908956i | \(-0.636881\pi\) |
−0.143922 | + | 0.989589i | \(0.545971\pi\) | |||||||
\(318\) | −12015.7 | − | 9396.47i | −2.11890 | − | 1.65701i | ||||
\(319\) | 204.497 | + | 696.453i | 0.0358923 | + | 0.122238i | ||||
\(320\) | −4538.99 | − | 5238.27i | −0.792928 | − | 0.915088i | ||||
\(321\) | 2217.96 | − | 5584.21i | 0.385653 | − | 0.970966i | ||||
\(322\) | −4188.86 | + | 2692.01i | −0.724956 | + | 0.465901i | ||||
\(323\) | −4114.17 | − | 6401.77i | −0.708726 | − | 1.10280i | ||||
\(324\) | 1878.32 | − | 8127.75i | 0.322071 | − | 1.39365i | ||||
\(325\) | −915.033 | − | 417.882i | −0.156175 | − | 0.0713228i | ||||
\(326\) | 6615.89 | − | 7635.14i | 1.12399 | − | 1.29715i | ||||
\(327\) | 156.238 | + | 301.045i | 0.0264219 | + | 0.0509107i | ||||
\(328\) | 2697.59 | − | 3113.19i | 0.454115 | − | 0.524076i | ||||
\(329\) | −2015.20 | − | 591.715i | −0.337694 | − | 0.0991559i | ||||
\(330\) | −2553.93 | + | 10653.9i | −0.426028 | + | 1.77721i | ||||
\(331\) | −1871.44 | + | 269.072i | −0.310766 | + | 0.0446814i | −0.295933 | − | 0.955209i | \(-0.595631\pi\) |
−0.0148325 | + | 0.999890i | \(0.504722\pi\) | |||||||
\(332\) | 918.635 | − | 419.527i | 0.151857 | − | 0.0693509i | ||||
\(333\) | −3708.94 | − | 693.922i | −0.610356 | − | 0.114194i | ||||
\(334\) | 11239.3i | 1.84127i | ||||||||
\(335\) | −4530.89 | − | 1056.02i | −0.738952 | − | 0.172229i | ||||
\(336\) | −1621.14 | − | 930.090i | −0.263215 | − | 0.151014i | ||||
\(337\) | 4209.82 | + | 3647.83i | 0.680486 | + | 0.589644i | 0.924984 | − | 0.380005i | \(-0.124078\pi\) |
−0.244498 | + | 0.969650i | \(0.578623\pi\) | |||||||
\(338\) | 3365.37 | + | 7369.12i | 0.541573 | + | 1.18588i | ||||
\(339\) | −8382.86 | − | 3329.55i | −1.34305 | − | 0.533440i | ||||
\(340\) | 2919.06 | + | 9941.39i | 0.465612 | + | 1.58573i | ||||
\(341\) | −1727.61 | + | 5883.71i | −0.274356 | + | 0.934372i | ||||
\(342\) | −8343.36 | − | 1561.00i | −1.31917 | − | 0.246810i | ||||
\(343\) | 3732.81 | − | 5808.36i | 0.587617 | − | 0.914349i | ||||
\(344\) | −2208.19 | − | 1913.41i | −0.346098 | − | 0.299896i | ||||
\(345\) | −2767.86 | + | 1982.36i | −0.431933 | + | 0.309353i | ||||
\(346\) | −2582.82 | − | 8796.28i | −0.401310 | − | 1.36674i | ||||
\(347\) | −4719.39 | + | 3032.97i | −0.730116 | + | 0.469217i | −0.852142 | − | 0.523310i | \(-0.824697\pi\) |
0.122027 | + | 0.992527i | \(0.461061\pi\) | |||||||
\(348\) | 764.719 | − | 38.5145i | 0.117797 | − | 0.00593274i | ||||
\(349\) | 1601.79 | + | 11140.7i | 0.245679 | + | 1.70873i | 0.622644 | + | 0.782505i | \(0.286059\pi\) |
−0.376965 | + | 0.926227i | \(0.623032\pi\) | |||||||
\(350\) | 2584.04 | − | 2239.08i | 0.394636 | − | 0.341954i | ||||
\(351\) | −770.515 | − | 2547.01i | −0.117171 | − | 0.387320i | ||||
\(352\) | 1844.46 | − | 12828.5i | 0.279291 | − | 1.94251i | ||||
\(353\) | −405.864 | − | 2822.85i | −0.0611953 | − | 0.425623i | −0.997271 | − | 0.0738248i | \(-0.976479\pi\) |
0.936076 | − | 0.351798i | \(-0.114430\pi\) | |||||||
\(354\) | 1906.18 | + | 9747.39i | 0.286194 | + | 1.46347i | ||||
\(355\) | −4269.72 | + | 1949.91i | −0.638347 | + | 0.291523i | ||||
\(356\) | −2409.63 | + | 8206.45i | −0.358736 | + | 1.22174i | ||||
\(357\) | 4721.53 | + | 6592.42i | 0.699972 | + | 0.977332i | ||||
\(358\) | −677.969 | − | 1484.55i | −0.100089 | − | 0.219164i | ||||
\(359\) | −9754.73 | − | 1402.52i | −1.43408 | − | 0.206190i | −0.618933 | − | 0.785444i | \(-0.712435\pi\) |
−0.815147 | + | 0.579254i | \(0.803344\pi\) | |||||||
\(360\) | 3099.39 | + | 1576.55i | 0.453756 | + | 0.230810i | ||||
\(361\) | 252.730 | − | 1757.78i | 0.0368465 | − | 0.256273i | ||||
\(362\) | 7056.80 | + | 2072.06i | 1.02458 | + | 0.300843i | ||||
\(363\) | −8514.62 | + | 4418.97i | −1.23113 | + | 0.638941i | ||||
\(364\) | 3173.29 | 0.456939 | ||||||||
\(365\) | −7094.11 | −1.01732 | ||||||||
\(366\) | −7005.25 | − | 13498.0i | −1.00047 | − | 1.92773i | ||||
\(367\) | −4615.58 | − | 2107.86i | −0.656488 | − | 0.299808i | 0.0591812 | − | 0.998247i | \(-0.481151\pi\) |
−0.715670 | + | 0.698439i | \(0.753878\pi\) | |||||||
\(368\) | 1436.00 | − | 1244.30i | 0.203415 | − | 0.176260i | ||||
\(369\) | 2358.39 | − | 6936.04i | 0.332717 | − | 0.978525i | ||||
\(370\) | 2171.60 | − | 4755.13i | 0.305124 | − | 0.668129i | ||||
\(371\) | 5262.42 | − | 8188.49i | 0.736419 | − | 1.14589i | ||||
\(372\) | 5610.77 | + | 3219.05i | 0.782003 | + | 0.448656i | ||||
\(373\) | − | 331.596i | − | 0.0460306i | −0.999735 | − | 0.0230153i | \(-0.992673\pi\) | ||
0.999735 | − | 0.0230153i | \(-0.00732664\pi\) | |||||||
\(374\) | −14342.3 | + | 22317.0i | −1.98295 | + | 3.08552i | ||||
\(375\) | 5664.95 | − | 5431.03i | 0.780098 | − | 0.747886i | ||||
\(376\) | −2158.67 | − | 310.370i | −0.296077 | − | 0.0425694i | ||||
\(377\) | 205.474 | − | 132.050i | 0.0280702 | − | 0.0180396i | ||||
\(378\) | 8962.89 | + | 1214.06i | 1.21958 | + | 0.165197i | ||||
\(379\) | −10898.9 | + | 4977.35i | −1.47715 | + | 0.674590i | −0.981064 | − | 0.193686i | \(-0.937956\pi\) |
−0.496082 | + | 0.868276i | \(0.665228\pi\) | |||||||
\(380\) | 2875.06 | − | 6295.51i | 0.388125 | − | 0.849876i | ||||
\(381\) | 8469.69 | − | 8119.95i | 1.13888 | − | 1.09186i | ||||
\(382\) | 2829.61 | + | 6195.97i | 0.378993 | + | 0.829878i | ||||
\(383\) | −736.344 | − | 849.787i | −0.0982387 | − | 0.113374i | 0.704501 | − | 0.709703i | \(-0.251171\pi\) |
−0.802740 | + | 0.596329i | \(0.796625\pi\) | |||||||
\(384\) | −8515.27 | − | 3382.14i | −1.13162 | − | 0.449464i | ||||
\(385\) | −6919.97 | − | 994.941i | −0.916037 | − | 0.131706i | ||||
\(386\) | 14727.9 | − | 4324.49i | 1.94204 | − | 0.570235i | ||||
\(387\) | −4919.75 | − | 1672.81i | −0.646215 | − | 0.219725i | ||||
\(388\) | 5637.17 | − | 810.503i | 0.737588 | − | 0.106049i | ||||
\(389\) | −1984.54 | − | 3088.00i | −0.258663 | − | 0.402488i | 0.687497 | − | 0.726188i | \(-0.258710\pi\) |
−0.946160 | + | 0.323700i | \(0.895073\pi\) | |||||||
\(390\) | 3681.90 | − | 185.436i | 0.478052 | − | 0.0240767i | ||||
\(391\) | −7909.81 | + | 2322.53i | −1.02306 | + | 0.300398i | ||||
\(392\) | 815.049 | − | 1784.71i | 0.105016 | − | 0.229953i | ||||
\(393\) | −13015.1 | + | 4544.28i | −1.67055 | + | 0.583279i | ||||
\(394\) | −12646.5 | − | 8127.40i | −1.61706 | − | 1.03922i | ||||
\(395\) | 4375.32 | + | 3791.24i | 0.557332 | + | 0.482931i | ||||
\(396\) | 4197.83 | + | 16901.6i | 0.532699 | + | 2.14479i | ||||
\(397\) | −7905.58 | + | 2321.29i | −0.999419 | + | 0.293456i | −0.740218 | − | 0.672367i | \(-0.765278\pi\) |
−0.259202 | + | 0.965823i | \(0.583459\pi\) | |||||||
\(398\) | −1601.22 | − | 11136.7i | −0.201662 | − | 1.40259i | ||||
\(399\) | 500.191 | − | 5393.33i | 0.0627591 | − | 0.676703i | ||||
\(400\) | −854.433 | + | 986.068i | −0.106804 | + | 0.123259i | ||||
\(401\) | −3522.16 | −0.438624 | −0.219312 | − | 0.975655i | \(-0.570381\pi\) | ||||
−0.219312 | + | 0.975655i | \(0.570381\pi\) | |||||||
\(402\) | −12175.6 | + | 3105.52i | −1.51060 | + | 0.385297i | ||||
\(403\) | 2063.43 | 0.255054 | ||||||||
\(404\) | −8841.31 | + | 10203.4i | −1.08879 | + | 1.25653i | ||||
\(405\) | 6162.26 | + | 520.791i | 0.756062 | + | 0.0638971i | ||||
\(406\) | 118.149 | + | 821.744i | 0.0144425 | + | 0.100449i | ||||
\(407\) | 7558.22 | − | 2219.29i | 0.920509 | − | 0.270286i | ||||
\(408\) | 5827.02 | + | 6077.99i | 0.707060 | + | 0.737513i | ||||
\(409\) | 9092.76 | + | 7878.92i | 1.09929 | + | 0.952537i | 0.999099 | − | 0.0424315i | \(-0.0135104\pi\) |
0.100187 | + | 0.994969i | \(0.468056\pi\) | |||||||
\(410\) | 8538.30 | + | 5487.23i | 1.02848 | + | 0.660963i | ||||
\(411\) | −569.967 | − | 1632.42i | −0.0684048 | − | 0.195916i | ||||
\(412\) | −128.190 | + | 280.698i | −0.0153288 | + | 0.0335655i | ||||
\(413\) | −6081.13 | + | 1785.58i | −0.724535 | + | 0.212743i | ||||
\(414\) | −4168.95 | + | 8195.88i | −0.494911 | + | 0.972960i | ||||
\(415\) | 404.765 | + | 629.826i | 0.0478774 | + | 0.0744987i | ||||
\(416\) | −4316.75 | + | 620.655i | −0.508764 | + | 0.0731493i | ||||
\(417\) | 1016.89 | + | 5199.94i | 0.119418 | + | 0.610652i | ||||
\(418\) | 17002.4 | − | 4992.36i | 1.98951 | − | 0.584173i | ||||
\(419\) | 6013.53 | + | 864.615i | 0.701146 | + | 0.100810i | 0.483663 | − | 0.875254i | \(-0.339306\pi\) |
0.217483 | + | 0.976064i | \(0.430215\pi\) | |||||||
\(420\) | −2722.29 | + | 6853.95i | −0.316271 | + | 0.796282i | ||||
\(421\) | −4330.96 | − | 4998.19i | −0.501373 | − | 0.578615i | 0.447496 | − | 0.894286i | \(-0.352316\pi\) |
−0.948869 | + | 0.315671i | \(0.897770\pi\) | |||||||
\(422\) | −11164.4 | − | 24446.5i | −1.28785 | − | 2.82000i | ||||
\(423\) | −3764.20 | + | 934.910i | −0.432675 | + | 0.107463i | ||||
\(424\) | 4198.68 | − | 9193.83i | 0.480910 | − | 1.05305i | ||||
\(425\) | 5149.24 | − | 2351.58i | 0.587705 | − | 0.268396i | ||||
\(426\) | −7809.66 | + | 9986.62i | −0.888215 | + | 1.13581i | ||||
\(427\) | 8163.76 | − | 5246.53i | 0.925227 | − | 0.594607i | ||||
\(428\) | 13097.4 | + | 1883.13i | 1.47918 | + | 0.212674i | ||||
\(429\) | 3844.49 | + | 4010.07i | 0.432666 | + | 0.451301i | ||||
\(430\) | 3892.11 | − | 6056.24i | 0.436498 | − | 0.679204i | ||||
\(431\) | 6118.18i | 0.683765i | 0.939743 | + | 0.341882i | \(0.111064\pi\) | ||||
−0.939743 | + | 0.341882i | \(0.888936\pi\) | |||||||
\(432\) | −3451.35 | + | 28.1821i | −0.384383 | + | 0.00313868i | ||||
\(433\) | 7124.57 | − | 11086.0i | 0.790727 | − | 1.23040i | −0.178430 | − | 0.983953i | \(-0.557102\pi\) |
0.969157 | − | 0.246443i | \(-0.0792618\pi\) | |||||||
\(434\) | −2913.54 | + | 6379.77i | −0.322246 | + | 0.705620i | ||||
\(435\) | 108.942 | + | 557.082i | 0.0120078 | + | 0.0614024i | ||||
\(436\) | −564.492 | + | 489.135i | −0.0620052 | + | 0.0537278i | ||||
\(437\) | 5008.99 | + | 2287.53i | 0.548312 | + | 0.250406i | ||||
\(438\) | −17006.5 | + | 8826.11i | −1.85525 | + | 0.962849i | ||||
\(439\) | 15638.3 | 1.70018 | 0.850088 | − | 0.526641i | \(-0.176549\pi\) | ||||
0.850088 | + | 0.526641i | \(0.176549\pi\) | |||||||
\(440\) | −7259.41 | −0.786542 | ||||||||
\(441\) | 147.054 | − | 3486.24i | 0.0158789 | − | 0.376443i | ||||
\(442\) | 8565.07 | + | 2514.93i | 0.921717 | + | 0.270641i | ||||
\(443\) | 514.819 | − | 3580.64i | 0.0552140 | − | 0.384022i | −0.943412 | − | 0.331622i | \(-0.892404\pi\) |
0.998626 | − | 0.0523993i | \(-0.0166869\pi\) | |||||||
\(444\) | −417.976 | − | 8299.08i | −0.0446763 | − | 0.887065i | ||||
\(445\) | −6276.06 | − | 902.361i | −0.668570 | − | 0.0961259i | ||||
\(446\) | −10085.6 | − | 22084.4i | −1.07078 | − | 2.34468i | ||||
\(447\) | 9248.95 | − | 6624.16i | 0.978658 | − | 0.700921i | ||||
\(448\) | 3365.57 | − | 11462.1i | 0.354929 | − | 1.20878i | ||||
\(449\) | 15194.5 | − | 6939.09i | 1.59704 | − | 0.729345i | 0.599564 | − | 0.800327i | \(-0.295341\pi\) |
0.997478 | + | 0.0709818i | \(0.0226132\pi\) | |||||||
\(450\) | 2032.65 | − | 5978.05i | 0.212934 | − | 0.626240i | ||||
\(451\) | 2176.58 | + | 15138.5i | 0.227254 | + | 1.58058i | ||||
\(452\) | 2826.90 | − | 19661.5i | 0.294173 | − | 2.04602i | ||||
\(453\) | −3825.46 | + | 15958.2i | −0.396767 | + | 1.65515i | ||||
\(454\) | −7864.76 | + | 6814.85i | −0.813021 | + | 0.704487i | ||||
\(455\) | 334.794 | + | 2328.54i | 0.0344953 | + | 0.239920i | ||||
\(456\) | −282.906 | − | 5617.21i | −0.0290533 | − | 0.576864i | ||||
\(457\) | 3929.35 | − | 2525.24i | 0.402204 | − | 0.258481i | −0.323864 | − | 0.946104i | \(-0.604982\pi\) |
0.726068 | + | 0.687623i | \(0.241346\pi\) | |||||||
\(458\) | −47.2941 | − | 161.069i | −0.00482513 | − | 0.0164329i | ||||
\(459\) | 13671.6 | + | 6109.20i | 1.39028 | + | 0.621249i | ||||
\(460\) | −5666.23 | − | 4909.82i | −0.574325 | − | 0.497655i | ||||
\(461\) | 1405.86 | − | 2187.56i | 0.142034 | − | 0.221009i | −0.762947 | − | 0.646461i | \(-0.776248\pi\) |
0.904981 | + | 0.425452i | \(0.139885\pi\) | |||||||
\(462\) | −17826.8 | + | 6224.32i | −1.79519 | + | 0.626800i | ||||
\(463\) | −97.9742 | + | 333.669i | −0.00983423 | + | 0.0334923i | −0.964264 | − | 0.264943i | \(-0.914647\pi\) |
0.954430 | + | 0.298436i | \(0.0964649\pi\) | |||||||
\(464\) | −89.2534 | − | 303.969i | −0.00892992 | − | 0.0304125i | ||||
\(465\) | −1770.16 | + | 4456.77i | −0.176536 | + | 0.444468i | ||||
\(466\) | −195.691 | − | 428.504i | −0.0194532 | − | 0.0425967i | ||||
\(467\) | 9532.61 | + | 8260.05i | 0.944575 | + | 0.818479i | 0.983527 | − | 0.180762i | \(-0.0578564\pi\) |
−0.0389518 | + | 0.999241i | \(0.512402\pi\) | |||||||
\(468\) | 5058.97 | − | 2957.63i | 0.499682 | − | 0.292130i | ||||
\(469\) | −2690.72 | − | 7553.32i | −0.264917 | − | 0.743668i | ||||
\(470\) | − | 5373.37i | − | 0.527351i | ||||||
\(471\) | 604.193 | + | 1730.45i | 0.0591077 | + | 0.169288i | ||||
\(472\) | −5986.35 | + | 2733.88i | −0.583780 | + | 0.266603i | ||||
\(473\) | 10737.8 | − | 1543.86i | 1.04381 | − | 0.150077i | ||||
\(474\) | 15205.7 | + | 3645.06i | 1.47346 | + | 0.353213i | ||||
\(475\) | −3628.10 | − | 1065.31i | −0.350460 | − | 0.102904i | ||||
\(476\) | −11694.1 | + | 13495.7i | −1.12604 | + | 1.29952i | ||||
\(477\) | 757.541 | − | 17959.2i | 0.0727158 | − | 1.72389i | ||||
\(478\) | −4429.29 | + | 5111.67i | −0.423831 | + | 0.489127i | ||||
\(479\) | −5737.86 | − | 2620.39i | −0.547327 | − | 0.249956i | 0.122506 | − | 0.992468i | \(-0.460907\pi\) |
−0.669833 | + | 0.742512i | \(0.733634\pi\) | |||||||
\(480\) | 2362.68 | − | 9856.12i | 0.224669 | − | 0.937226i | ||||
\(481\) | −1433.07 | − | 2229.90i | −0.135847 | − | 0.211382i | ||||
\(482\) | −1107.87 | + | 711.984i | −0.104693 | + | 0.0672821i | ||||
\(483\) | −5453.31 | − | 2165.97i | −0.513735 | − | 0.204048i | ||||
\(484\) | −13834.5 | − | 15965.9i | −1.29926 | − | 1.49942i | ||||
\(485\) | 1189.48 | + | 4051.01i | 0.111364 | + | 0.379272i | ||||
\(486\) | 15420.5 | − | 6418.28i | 1.43928 | − | 0.599051i | ||||
\(487\) | −13912.4 | + | 2000.30i | −1.29452 | + | 0.186123i | −0.754929 | − | 0.655807i | \(-0.772329\pi\) |
−0.539587 | + | 0.841930i | \(0.681420\pi\) | |||||||
\(488\) | 7615.44 | − | 6598.82i | 0.706424 | − | 0.612120i | ||||
\(489\) | 11854.4 | + | 1099.41i | 1.09627 | + | 0.101671i | ||||
\(490\) | 4638.32 | + | 1361.93i | 0.427628 | + | 0.125563i | ||||
\(491\) | 19696.1 | + | 8994.90i | 1.81033 | + | 0.826750i | 0.946284 | + | 0.323336i | \(0.104804\pi\) |
0.864045 | + | 0.503414i | \(0.167923\pi\) | |||||||
\(492\) | 16064.5 | + | 1489.86i | 1.47204 | + | 0.136521i | ||||
\(493\) | −195.608 | + | 1360.48i | −0.0178696 | + | 0.124286i | ||||
\(494\) | −3223.72 | − | 5016.21i | −0.293608 | − | 0.456862i | ||||
\(495\) | −11959.4 | + | 4863.51i | −1.08593 | + | 0.441613i | ||||
\(496\) | 754.023 | − | 2567.97i | 0.0682593 | − | 0.232470i | ||||
\(497\) | −6805.67 | − | 4373.74i | −0.614238 | − | 0.394747i | ||||
\(498\) | 1753.93 | + | 1006.27i | 0.157822 | + | 0.0905466i | ||||
\(499\) | − | 18854.3i | − | 1.69146i | −0.533615 | − | 0.845728i | \(-0.679167\pi\) | ||
0.533615 | − | 0.845728i | \(-0.320833\pi\) | |||||||
\(500\) | 14539.0 | + | 9343.62i | 1.30040 | + | 0.835719i | ||||
\(501\) | −10767.8 | + | 7711.94i | −0.960215 | + | 0.687713i | ||||
\(502\) | −14212.3 | − | 16401.9i | −1.26360 | − | 1.45827i | ||||
\(503\) | −13165.2 | − | 15193.4i | −1.16701 | − | 1.34680i | −0.926562 | − | 0.376142i | \(-0.877250\pi\) |
−0.240450 | − | 0.970661i | \(-0.577295\pi\) | |||||||
\(504\) | 602.153 | + | 5962.82i | 0.0532183 | + | 0.526994i | ||||
\(505\) | −8419.98 | − | 5411.19i | −0.741949 | − | 0.476822i | ||||
\(506\) | − | 19196.4i | − | 1.68653i | ||||||
\(507\) | −4750.79 | + | 8280.58i | −0.416154 | + | 0.725352i | ||||
\(508\) | 21737.2 | + | 13969.7i | 1.89849 | + | 1.22009i | ||||
\(509\) | −2811.20 | + | 9574.08i | −0.244802 | + | 0.833720i | 0.741806 | + | 0.670614i | \(0.233969\pi\) |
−0.986609 | + | 0.163106i | \(0.947849\pi\) | |||||||
\(510\) | −12779.7 | + | 16342.1i | −1.10960 | + | 1.41890i | ||||
\(511\) | −6610.24 | − | 10285.7i | −0.572250 | − | 0.890439i | ||||
\(512\) | −1230.25 | + | 8556.57i | −0.106191 | + | 0.738576i | ||||
\(513\) | −4229.38 | − | 9064.44i | −0.363999 | − | 0.780126i | ||||
\(514\) | 1364.61 | + | 623.198i | 0.117102 | + | 0.0534788i | ||||
\(515\) | −219.498 | − | 64.4506i | −0.0187811 | − | 0.00551462i | ||||
\(516\) | 1056.76 | − | 11394.6i | 0.0901579 | − | 0.972131i | ||||
\(517\) | 6119.35 | − | 5302.45i | 0.520559 | − | 0.451067i | ||||
\(518\) | 8917.94 | − | 1282.21i | 0.756432 | − | 0.108759i | ||||
\(519\) | 6655.03 | − | 8510.13i | 0.562858 | − | 0.719755i | ||||
\(520\) | 688.205 | + | 2343.81i | 0.0580381 | + | 0.197660i | ||||
\(521\) | 13394.1 | + | 15457.7i | 1.12631 | + | 1.29983i | 0.948858 | + | 0.315703i | \(0.102240\pi\) |
0.177453 | + | 0.984129i | \(0.443214\pi\) | |||||||
\(522\) | 954.255 | + | 1199.93i | 0.0800127 | + | 0.100612i | ||||
\(523\) | 12156.3 | − | 7812.40i | 1.01637 | − | 0.653178i | 0.0773324 | − | 0.997005i | \(-0.475360\pi\) |
0.939033 | + | 0.343827i | \(0.111723\pi\) | |||||||
\(524\) | −16413.3 | − | 25539.5i | −1.36835 | − | 2.12920i | ||||
\(525\) | 3918.21 | + | 939.264i | 0.325724 | + | 0.0780816i | ||||
\(526\) | −10533.0 | − | 4810.24i | −0.873115 | − | 0.398738i | ||||
\(527\) | −7604.04 | + | 8775.53i | −0.628534 | + | 0.725366i | ||||
\(528\) | 6395.45 | − | 3319.15i | 0.527133 | − | 0.273575i | ||||
\(529\) | −4061.22 | + | 4686.90i | −0.333790 | + | 0.385214i | ||||
\(530\) | 23894.0 | + | 7015.92i | 1.95828 | + | 0.575004i | ||||
\(531\) | −8030.52 | + | 8514.49i | −0.656299 | + | 0.695852i | ||||
\(532\) | 11806.8 | − | 1697.56i | 0.962200 | − | 0.138344i | ||||
\(533\) | 4681.35 | − | 2137.90i | 0.380435 | − | 0.173739i | ||||
\(534\) | −16168.0 | + | 5645.14i | −1.31022 | + | 0.457470i | ||||
\(535\) | 9809.48i | 0.792711i | ||||||||
\(536\) | −3881.74 | − | 7365.72i | −0.312809 | − | 0.593565i | ||||
\(537\) | 957.071 | − | 1668.16i | 0.0769100 | − | 0.134053i | ||||
\(538\) | −10131.7 | − | 8779.13i | −0.811908 | − | 0.703522i | ||||
\(539\) | 3026.09 | + | 6626.21i | 0.241824 | + | 0.529520i | ||||
\(540\) | 2048.19 | + | 13464.1i | 0.163222 | + | 1.07297i | ||||
\(541\) | −2724.80 | − | 9279.80i | −0.216540 | − | 0.737467i | −0.994082 | − | 0.108636i | \(-0.965352\pi\) |
0.777542 | − | 0.628831i | \(-0.216466\pi\) | |||||||
\(542\) | −7545.92 | + | 25699.0i | −0.598016 | + | 2.03666i | ||||
\(543\) | 2856.96 | + | 8182.52i | 0.225790 | + | 0.646677i | ||||
\(544\) | 13268.3 | − | 20645.8i | 1.04572 | − | 1.62718i | ||||
\(545\) | −418.480 | − | 362.615i | −0.0328912 | − | 0.0285004i | ||||
\(546\) | 3699.64 | + | 5165.60i | 0.289981 | + | 0.404885i | ||||
\(547\) | 2519.77 | + | 8581.57i | 0.196961 | + | 0.670788i | 0.997445 | + | 0.0714343i | \(0.0227576\pi\) |
−0.800484 | + | 0.599354i | \(0.795424\pi\) | |||||||
\(548\) | 3203.30 | − | 2058.63i | 0.249704 | − | 0.160475i | ||||
\(549\) | 8124.97 | − | 15973.1i | 0.631631 | − | 1.24174i | ||||
\(550\) | 1875.96 | + | 13047.6i | 0.145439 | + | 1.01155i | ||||
\(551\) | 693.863 | − | 601.236i | 0.0536471 | − | 0.0464855i | ||||
\(552\) | −5925.02 | − | 1420.33i | −0.456858 | − | 0.109517i | ||||
\(553\) | −1420.02 | + | 9876.42i | −0.109196 | + | 0.759472i | ||||
\(554\) | 679.136 | + | 4723.50i | 0.0520826 | + | 0.362242i | ||||
\(555\) | 6045.71 | − | 1182.29i | 0.462389 | − | 0.0904242i | ||||
\(556\) | −10613.8 | + | 4847.18i | −0.809581 | + | 0.369723i | ||||
\(557\) | −4258.39 | + | 14502.7i | −0.323938 | + | 1.10323i | 0.623108 | + | 0.782136i | \(0.285870\pi\) |
−0.947046 | + | 0.321097i | \(0.895948\pi\) | |||||||
\(558\) | 1301.33 | + | 12886.4i | 0.0987268 | + | 0.977643i | ||||
\(559\) | −1516.42 | − | 3320.49i | −0.114736 | − | 0.251238i | ||||
\(560\) | 3020.24 | + | 434.245i | 0.227908 | + | 0.0327682i | ||||
\(561\) | −31221.9 | + | 1572.46i | −2.34971 | + | 0.118341i | ||||
\(562\) | −3880.27 | + | 26987.9i | −0.291244 | + | 2.02565i | ||||
\(563\) | 12048.4 | + | 3537.74i | 0.901921 | + | 0.264828i | 0.699636 | − | 0.714499i | \(-0.253345\pi\) |
0.202284 | + | 0.979327i | \(0.435164\pi\) | |||||||
\(564\) | −3934.55 | − | 7581.23i | −0.293749 | − | 0.566006i | ||||
\(565\) | 14725.7 | 1.09649 | ||||||||
\(566\) | −31339.1 | −2.32735 | ||||||||
\(567\) | 4986.86 | + | 9419.92i | 0.369362 | + | 0.697706i | ||||
\(568\) | −7641.24 | − | 3489.64i | −0.564471 | − | 0.257785i | ||||
\(569\) | −4218.51 | + | 3655.36i | −0.310807 | + | 0.269316i | −0.796270 | − | 0.604942i | \(-0.793196\pi\) |
0.485463 | + | 0.874257i | \(0.338651\pi\) | |||||||
\(570\) | 13600.0 | − | 2659.59i | 0.999370 | − | 0.195435i | ||||
\(571\) | 8671.43 | − | 18987.8i | 0.635531 | − | 1.39162i | −0.268136 | − | 0.963381i | \(-0.586408\pi\) |
0.903666 | − | 0.428237i | \(-0.140865\pi\) | |||||||
\(572\) | −6614.11 | + | 10291.8i | −0.483479 | + | 0.752307i | ||||
\(573\) | −3994.48 | + | 6962.33i | −0.291225 | + | 0.507601i | ||||
\(574\) | 17492.6i | 1.27200i | ||||||||
\(575\) | −2214.61 | + | 3446.00i | −0.160618 | + | 0.249927i | ||||
\(576\) | −5317.59 | − | 21410.1i | −0.384664 | − | 1.54876i | ||||
\(577\) | 11968.2 | + | 1720.76i | 0.863502 | + | 0.124153i | 0.559814 | − | 0.828618i | \(-0.310873\pi\) |
0.303689 | + | 0.952771i | \(0.401782\pi\) | |||||||
\(578\) | −24034.8 | + | 15446.2i | −1.72961 | + | 1.11155i | ||||
\(579\) | 14248.7 | + | 11142.7i | 1.02272 | + | 0.799784i | ||||
\(580\) | −1137.09 | + | 519.290i | −0.0814051 | + | 0.0371765i | ||||
\(581\) | −536.028 | + | 1173.74i | −0.0382757 | + | 0.0838120i | ||||
\(582\) | 7891.55 | + | 8231.45i | 0.562054 | + | 0.586262i | ||||
\(583\) | 15588.7 | + | 34134.6i | 1.10741 | + | 2.42489i | ||||
\(584\) | −8314.03 | − | 9594.90i | −0.589104 | − | 0.679863i | ||||
\(585\) | 2704.03 | + | 3400.20i | 0.191108 | + | 0.240309i | ||||
\(586\) | 9848.56 | + | 1416.01i | 0.694266 | + | 0.0998204i | ||||
\(587\) | −2927.67 | + | 859.643i | −0.205857 | + | 0.0604451i | −0.383035 | − | 0.923734i | \(-0.625121\pi\) |
0.177178 | + | 0.984179i | \(0.443303\pi\) | |||||||
\(588\) | 7541.41 | − | 1474.79i | 0.528916 | − | 0.103434i | ||||
\(589\) | 7677.36 | − | 1103.84i | 0.537080 | − | 0.0772205i | ||||
\(590\) | −8766.42 | − | 13640.8i | −0.611708 | − | 0.951837i | ||||
\(591\) | −891.075 | − | 17692.6i | −0.0620202 | − | 1.23143i | ||||
\(592\) | −3298.81 | + | 968.618i | −0.229021 | + | 0.0672466i | ||||
\(593\) | 5046.24 | − | 11049.7i | 0.349451 | − | 0.765190i | −0.650533 | − | 0.759478i | \(-0.725455\pi\) |
0.999984 | − | 0.00571206i | \(-0.00181821\pi\) | |||||||
\(594\) | −22618.9 | + | 26538.3i | −1.56240 | + | 1.83313i | ||||
\(595\) | −11136.8 | − | 7157.18i | −0.767334 | − | 0.493136i | ||||
\(596\) | 18934.0 | + | 16406.4i | 1.30129 | + | 1.12757i | ||||
\(597\) | 9570.80 | − | 9175.60i | 0.656125 | − | 0.629032i | ||||
\(598\) | −6197.87 | + | 1819.86i | −0.423829 | + | 0.124447i | ||||
\(599\) | 3434.02 | + | 23884.1i | 0.234241 | + | 1.62918i | 0.679428 | + | 0.733743i | \(0.262228\pi\) |
−0.445187 | + | 0.895438i | \(0.646863\pi\) | |||||||
\(600\) | 4165.96 | + | 386.362i | 0.283458 | + | 0.0262886i | ||||
\(601\) | −7537.36 | + | 8698.58i | −0.511573 | + | 0.590387i | −0.951501 | − | 0.307646i | \(-0.900459\pi\) |
0.439928 | + | 0.898033i | \(0.355004\pi\) | |||||||
\(602\) | 12407.6 | 0.840025 | ||||||||
\(603\) | −11329.6 | − | 9533.91i | −0.765139 | − | 0.643865i | ||||
\(604\) | −36139.0 | −2.43456 | ||||||||
\(605\) | 10256.1 | − | 11836.1i | 0.689203 | − | 0.795383i | ||||
\(606\) | −26917.2 | − | 2496.37i | −1.80435 | − | 0.167340i | ||||
\(607\) | 2851.06 | + | 19829.6i | 0.190644 | + | 1.32596i | 0.830308 | + | 0.557304i | \(0.188164\pi\) |
−0.639664 | + | 0.768654i | \(0.720927\pi\) | |||||||
\(608\) | −15729.2 | + | 4618.52i | −1.04919 | + | 0.308069i | ||||
\(609\) | −706.202 | + | 677.041i | −0.0469897 | + | 0.0450494i | ||||
\(610\) | 18763.4 | + | 16258.6i | 1.24542 | + | 1.07917i | ||||
\(611\) | −2292.10 | − | 1473.05i | −0.151765 | − | 0.0975337i | ||||
\(612\) | −6064.58 | + | 32414.6i | −0.400566 | + | 2.14098i | ||||
\(613\) | −2226.76 | + | 4875.93i | −0.146718 | + | 0.321267i | −0.968695 | − | 0.248253i | \(-0.920144\pi\) |
0.821977 | + | 0.569520i | \(0.192871\pi\) | |||||||
\(614\) | 23963.8 | − | 7036.40i | 1.57508 | − | 0.462485i | ||||
\(615\) | 601.611 | + | 11945.2i | 0.0394460 | + | 0.783216i | ||||
\(616\) | −6764.27 | − | 10525.4i | −0.442435 | − | 0.688443i | ||||
\(617\) | −20149.4 | + | 2897.05i | −1.31473 | + | 0.189029i | −0.763761 | − | 0.645499i | \(-0.776649\pi\) |
−0.550965 | + | 0.834528i | \(0.685740\pi\) | |||||||
\(618\) | −606.382 | + | 118.583i | −0.0394697 | + | 0.00771863i | ||||
\(619\) | −19922.4 | + | 5849.74i | −1.29362 | + | 0.379840i | −0.854904 | − | 0.518787i | \(-0.826384\pi\) |
−0.438713 | + | 0.898627i | \(0.644566\pi\) | |||||||
\(620\) | −10453.1 | − | 1502.93i | −0.677106 | − | 0.0973532i | ||||
\(621\) | −10712.6 | + | 1629.63i | −0.692243 | + | 0.105306i | ||||
\(622\) | 5938.88 | + | 6853.83i | 0.382842 | + | 0.441823i | ||||
\(623\) | −4539.66 | − | 9940.47i | −0.291938 | − | 0.639256i | ||||
\(624\) | −1677.94 | − | 1750.21i | −0.107646 | − | 0.112283i | ||||
\(625\) | −2568.38 | + | 5623.97i | −0.164376 | + | 0.359934i | ||||
\(626\) | −2864.72 | + | 1308.27i | −0.182903 | + | 0.0835290i | ||||
\(627\) | 16449.3 | + | 12863.6i | 1.04772 | + | 0.819333i | ||||
\(628\) | −3395.65 | + | 2182.25i | −0.215766 | + | 0.138665i | ||||
\(629\) | 14764.6 | + | 2122.82i | 0.935933 | + | 0.134567i | ||||
\(630\) | −14330.9 | + | 3559.35i | −0.906281 | + | 0.225092i | ||||
\(631\) | 3961.97 | − | 6164.94i | 0.249958 | − | 0.388942i | −0.693488 | − | 0.720468i | \(-0.743927\pi\) |
0.943446 | + | 0.331526i | \(0.107563\pi\) | |||||||
\(632\) | 10360.9i | 0.652110i | ||||||||
\(633\) | 15760.4 | − | 27470.2i | 0.989606 | − | 1.72487i | ||||
\(634\) | 7623.27 | − | 11862.0i | 0.477538 | − | 0.743063i | ||||
\(635\) | −7957.50 | + | 17424.5i | −0.497297 | + | 1.08893i | ||||
\(636\) | 38849.2 | − | 7597.28i | 2.42212 | − | 0.473667i | ||||
\(637\) | 1852.50 | − | 1605.20i | 0.115225 | − | 0.0998434i | ||||
\(638\) | −2911.37 | − | 1329.58i | −0.180662 | − | 0.0825056i | ||||
\(639\) | −14926.3 | − | 629.613i | −0.924064 | − | 0.0389782i | ||||
\(640\) | 14958.3 | 0.923874 | ||||||||
\(641\) | −19810.5 | −1.22070 | −0.610350 | − | 0.792131i | \(-0.708971\pi\) | ||||
−0.610350 | + | 0.792131i | \(0.708971\pi\) | |||||||
\(642\) | 12204.4 | + | 23515.9i | 0.750265 | + | 1.44564i | ||||
\(643\) | −377.509 | − | 110.847i | −0.0231532 | − | 0.00679839i | 0.270135 | − | 0.962822i | \(-0.412932\pi\) |
−0.293289 | + | 0.956024i | \(0.594750\pi\) | |||||||
\(644\) | 1838.98 | − | 12790.4i | 0.112525 | − | 0.782628i | ||||
\(645\) | 8472.78 | − | 426.724i | 0.517233 | − | 0.0260500i | ||||
\(646\) | 33213.3 | + | 4775.35i | 2.02285 | + | 0.290842i | ||||
\(647\) | −6193.21 | − | 13561.2i | −0.376322 | − | 0.824030i | −0.999132 | − | 0.0416567i | \(-0.986736\pi\) |
0.622810 | − | 0.782373i | \(-0.285991\pi\) | |||||||
\(648\) | 6517.56 | + | 8944.91i | 0.395114 | + | 0.542267i | ||||
\(649\) | 6883.85 | − | 23444.3i | 0.416356 | − | 1.41798i | ||||
\(650\) | 4034.77 | − | 1842.62i | 0.243472 | − | 0.111190i | ||||
\(651\) | −8111.29 | + | 1586.23i | −0.488336 | + | 0.0954982i | ||||
\(652\) | 3731.20 | + | 25951.1i | 0.224118 | + | 1.55878i | ||||
\(653\) | 2267.04 | − | 15767.6i | 0.135859 | − | 0.944921i | −0.801856 | − | 0.597517i | \(-0.796154\pi\) |
0.937715 | − | 0.347404i | \(-0.112937\pi\) | |||||||
\(654\) | −1454.35 | − | 348.634i | −0.0869568 | − | 0.0208450i | ||||
\(655\) | 17009.1 | − | 14738.5i | 1.01466 | − | 0.879205i | ||||
\(656\) | −949.977 | − | 6607.24i | −0.0565402 | − | 0.393246i | ||||
\(657\) | −20125.0 | − | 10236.9i | −1.19505 | − | 0.607882i | ||||
\(658\) | 7790.84 | − | 5006.87i | 0.461579 | − | 0.296639i | ||||
\(659\) | 3208.70 | + | 10927.8i | 0.189671 | + | 0.645960i | 0.998335 | + | 0.0576886i | \(0.0183730\pi\) |
−0.808664 | + | 0.588271i | \(0.799809\pi\) | |||||||
\(660\) | −16554.9 | − | 23114.7i | −0.976363 | − | 1.36324i | ||||
\(661\) | −2263.83 | − | 1961.62i | −0.133211 | − | 0.115428i | 0.585707 | − | 0.810523i | \(-0.300817\pi\) |
−0.718918 | + | 0.695095i | \(0.755362\pi\) | |||||||
\(662\) | 4507.22 | − | 7013.38i | 0.264620 | − | 0.411756i | ||||
\(663\) | 3467.59 | + | 9931.40i | 0.203122 | + | 0.581755i | ||||
\(664\) | −377.482 | + | 1285.58i | −0.0220619 | + | 0.0751361i | ||||
\(665\) | 2491.32 | + | 8484.66i | 0.145277 | + | 0.494769i | ||||
\(666\) | 13022.2 | − | 10356.0i | 0.757659 | − | 0.602534i | ||||
\(667\) | −413.171 | − | 904.717i | −0.0239850 | − | 0.0525199i | ||||
\(668\) | −22043.2 | − | 19100.6i | −1.27676 | − | 1.10632i | ||||
\(669\) | 14237.6 | − | 24815.9i | 0.822804 | − | 1.43414i | ||||
\(670\) | 16602.3 | − | 12049.5i | 0.957319 | − | 0.694795i | ||||
\(671\) | 37412.4i | 2.15244i | ||||||||
\(672\) | 16491.9 | − | 5758.22i | 0.946710 | − | 0.330548i | ||||
\(673\) | −5557.88 | + | 2538.20i | −0.318337 | + | 0.145380i | −0.568174 | − | 0.822908i | \(-0.692350\pi\) |
0.249838 | + | 0.968288i | \(0.419623\pi\) | |||||||
\(674\) | −24312.2 | + | 3495.57i | −1.38942 | + | 0.199769i | ||||
\(675\) | 7121.98 | − | 2154.52i | 0.406112 | − | 0.122856i | ||||
\(676\) | −20172.1 | − | 5923.06i | −1.14771 | − | 0.336997i | ||||
\(677\) | −22727.0 | + | 26228.4i | −1.29021 | + | 1.48898i | −0.515134 | + | 0.857110i | \(0.672258\pi\) |
−0.775075 | + | 0.631870i | \(0.782288\pi\) | |||||||
\(678\) | 35301.5 | − | 18321.0i | 1.99962 | − | 1.03778i | ||||
\(679\) | −4765.20 | + | 5499.33i | −0.269325 | + | 0.310817i | ||||
\(680\) | −12504.1 | − | 5710.43i | −0.705163 | − | 0.322037i | ||||
\(681\) | −11925.4 | − | 2858.74i | −0.671049 | − | 0.160862i | ||||
\(682\) | −14618.4 | − | 22746.7i | −0.820775 | − | 1.27715i | ||||
\(683\) | −872.519 | + | 560.734i | −0.0488814 | + | 0.0314142i | −0.564853 | − | 0.825191i | \(-0.691067\pi\) |
0.515972 | + | 0.856606i | \(0.327431\pi\) | |||||||
\(684\) | 17240.6 | − | 13710.7i | 0.963761 | − | 0.766437i | ||||
\(685\) | 1848.57 | + | 2133.36i | 0.103110 | + | 0.118995i | ||||
\(686\) | 8577.20 | + | 29211.3i | 0.477375 | + | 1.62579i | ||||
\(687\) | 121.861 | − | 155.829i | 0.00676749 | − | 0.00865394i | ||||
\(688\) | −4686.53 | + | 673.822i | −0.259698 | + | 0.0373390i | ||||
\(689\) | 9543.04 | − | 8269.09i | 0.527665 | − | 0.457224i | ||||
\(690\) | 1386.30 | − | 14947.9i | 0.0764865 | − | 0.824719i | ||||
\(691\) | −27604.2 | − | 8105.31i | −1.51970 | − | 0.446224i | −0.587819 | − | 0.808992i | \(-0.700013\pi\) |
−0.931879 | + | 0.362769i | \(0.881832\pi\) | |||||||
\(692\) | 21641.2 | + | 9883.22i | 1.18884 | + | 0.542924i | ||||
\(693\) | −18195.3 | − | 12808.1i | −0.997376 | − | 0.702077i | ||||
\(694\) | 3520.39 | − | 24484.9i | 0.192554 | − | 1.33924i | ||||
\(695\) | −4676.62 | − | 7276.96i | −0.255244 | − | 0.397167i | ||||
\(696\) | −625.787 | + | 800.226i | −0.0340810 | + | 0.0435812i | ||||
\(697\) | −8159.21 | + | 27787.7i | −0.443403 | + | 1.51009i | ||||
\(698\) | −41750.8 | − | 26831.6i | −2.26402 | − | 1.45500i | ||||
\(699\) | 276.252 | − | 481.504i | 0.0149482 | − | 0.0260546i | ||||
\(700\) | 8873.20i | 0.479108i | ||||||||
\(701\) | −10057.7 | − | 6463.72i | −0.541906 | − | 0.348262i | 0.240878 | − | 0.970555i | \(-0.422565\pi\) |
−0.782784 | + | 0.622294i | \(0.786201\pi\) | |||||||
\(702\) | 10712.6 | + | 4786.97i | 0.575957 | + | 0.257368i | ||||
\(703\) | −6524.88 | − | 7530.11i | −0.350058 | − | 0.403988i | ||||
\(704\) | 30159.4 | + | 34805.7i | 1.61459 | + | 1.86334i | ||||
\(705\) | 5147.95 | − | 3686.99i | 0.275011 | − | 0.196965i | ||||
\(706\) | 10578.9 | + | 6798.62i | 0.563939 | + | 0.362422i | ||||
\(707\) | − | 17250.2i | − | 0.917627i | ||||||
\(708\) | −22356.7 | − | 12826.6i | −1.18675 | − | 0.680868i | ||||
\(709\) | −27239.6 | − | 17505.8i | −1.44288 | − | 0.927285i | −0.999521 | − | 0.0309417i | \(-0.990149\pi\) |
−0.443362 | − | 0.896343i | \(-0.646214\pi\) | |||||||
\(710\) | 5831.12 | − | 19859.0i | 0.308223 | − | 1.04971i | ||||
\(711\) | 6941.38 | + | 17068.8i | 0.366135 | + | 0.900326i | ||||
\(712\) | −6134.85 | − | 9546.01i | −0.322912 | − | 0.502461i | ||||
\(713\) | 1195.80 | − | 8316.94i | 0.0628091 | − | 0.436847i | ||||
\(714\) | −35602.4 | − | 3301.86i | −1.86609 | − | 0.173066i | ||||
\(715\) | −8249.83 | − | 3767.57i | −0.431505 | − | 0.197062i | ||||
\(716\) | 4063.77 | + | 1193.23i | 0.212109 | + | 0.0622808i | ||||
\(717\) | −7936.43 | − | 736.045i | −0.413377 | − | 0.0383377i | ||||
\(718\) | 32841.1 | − | 28457.0i | 1.70699 | − | 1.47912i | ||||
\(719\) | −2472.89 | + | 355.549i | −0.128266 | + | 0.0184419i | −0.206149 | − | 0.978521i | \(-0.566093\pi\) |
0.0778827 | + | 0.996963i | \(0.475184\pi\) | |||||||
\(720\) | 5219.71 | − | 2122.70i | 0.270176 | − | 0.109872i | ||||
\(721\) | −111.080 | − | 378.305i | −0.00573766 | − | 0.0195407i | ||||
\(722\) | 5127.88 | + | 5917.88i | 0.264321 | + | 0.305043i | ||||
\(723\) | −1442.29 | − | 572.856i | −0.0741900 | − | 0.0294672i | ||||
\(724\) | −16056.5 | + | 10318.9i | −0.824222 | + | 0.529695i | ||||
\(725\) | 369.240 | + | 574.549i | 0.0189148 | + | 0.0294320i | ||||
\(726\) | 9860.61 | − | 41134.3i | 0.504079 | − | 2.10281i | ||||
\(727\) | −32142.6 | − | 14679.0i | −1.63975 | − | 0.748851i | −0.639946 | − | 0.768420i | \(-0.721043\pi\) |
−0.999809 | + | 0.0195686i | \(0.993771\pi\) | |||||||
\(728\) | −2757.03 | + | 3181.78i | −0.140360 | + | 0.161984i | ||||
\(729\) | 16730.0 | + | 10369.6i | 0.849970 | + | 0.526831i | ||||
\(730\) | 20484.7 | − | 23640.5i | 1.03859 | − | 1.19860i | ||||
\(731\) | 19709.9 | + | 5787.35i | 0.997260 | + | 0.292822i | ||||
\(732\) | 38378.2 | + | 9199.92i | 1.93784 | + | 0.464534i | ||||
\(733\) | −16801.9 | + | 2415.75i | −0.846647 | + | 0.121730i | −0.551967 | − | 0.833866i | \(-0.686122\pi\) |
−0.294681 | + | 0.955596i | \(0.595213\pi\) | |||||||
\(734\) | 20352.0 | − | 9294.47i | 1.02344 | − | 0.467391i | ||||
\(735\) | 1877.83 | + | 5378.24i | 0.0942380 | + | 0.269904i | ||||
\(736\) | 17758.9i | 0.889407i | ||||||||
\(737\) | 30105.5 | + | 7016.76i | 1.50468 | + | 0.350700i | ||||
\(738\) | 16303.8 | + | 27887.4i | 0.813214 | + | 1.39099i | ||||
\(739\) | −13191.9 | − | 11430.9i | −0.656661 | − | 0.569000i | 0.261502 | − | 0.965203i | \(-0.415782\pi\) |
−0.918163 | + | 0.396203i | \(0.870328\pi\) | |||||||
\(740\) | 5635.57 | + | 12340.2i | 0.279956 | + | 0.613019i | ||||
\(741\) | 2593.78 | − | 6530.41i | 0.128590 | − | 0.323752i | ||||
\(742\) | 12091.9 | + | 41181.4i | 0.598260 | + | 2.03749i | ||||
\(743\) | 7098.03 | − | 24173.7i | 0.350473 | − | 1.19360i | −0.576066 | − | 0.817403i | \(-0.695413\pi\) |
0.926539 | − | 0.376199i | \(-0.122769\pi\) | |||||||
\(744\) | −8102.42 | + | 2828.99i | −0.399260 | + | 0.139403i | ||||
\(745\) | −10041.3 | + | 15624.6i | −0.493805 | + | 0.768375i | ||||
\(746\) | 1105.02 | + | 957.504i | 0.0542327 | + | 0.0469929i | ||||
\(747\) | 239.415 | + | 2370.81i | 0.0117266 | + | 0.116122i | ||||
\(748\) | −19395.7 | − | 66055.7i | −0.948097 | − | 3.22892i | ||||
\(749\) | −14222.8 | + | 9140.41i | −0.693843 | + | 0.445906i | ||||
\(750\) | 1740.61 | + | 34560.4i | 0.0847440 | + | 1.68262i | ||||
\(751\) | 3930.19 | + | 27335.1i | 0.190965 | + | 1.32819i | 0.829461 | + | 0.558565i | \(0.188648\pi\) |
−0.638496 | + | 0.769625i | \(0.720443\pi\) | |||||||
\(752\) | −2670.81 | + | 2314.27i | −0.129514 | + | 0.112224i | ||||
\(753\) | 5961.87 | − | 24870.4i | 0.288529 | − | 1.20362i | ||||
\(754\) | −153.272 | + | 1066.03i | −0.00740295 | + | 0.0514887i | ||||
\(755\) | −3812.79 | − | 26518.5i | −0.183790 | − | 1.27829i | ||||
\(756\) | −17613.1 | + | 15515.4i | −0.847329 | + | 0.746415i | ||||
\(757\) | 26029.5 | − | 11887.3i | 1.24974 | − | 0.570739i | 0.322989 | − | 0.946403i | \(-0.395312\pi\) |
0.926756 | + | 0.375663i | \(0.122585\pi\) | |||||||
\(758\) | 14884.5 | − | 50692.1i | 0.713233 | − | 2.42905i | ||||
\(759\) | 18391.1 | − | 13171.8i | 0.879519 | − | 0.629917i | ||||
\(760\) | 3814.42 | + | 8352.42i | 0.182057 | + | 0.398650i | ||||
\(761\) | −28514.0 | − | 4099.70i | −1.35826 | − | 0.195288i | −0.575595 | − | 0.817735i | \(-0.695229\pi\) |
−0.782662 | + | 0.622447i | \(0.786139\pi\) | |||||||
\(762\) | 2602.39 | + | 51671.4i | 0.123720 | + | 2.45651i | ||||
\(763\) | 135.818 | − | 944.636i | 0.00644423 | − | 0.0448206i | ||||
\(764\) | −16960.7 | − | 4980.12i | −0.803165 | − | 0.235830i | ||||
\(765\) | −24425.4 | − | 1030.30i | −1.15438 | − | 0.0486934i | ||||
\(766\) | 4958.08 | 0.233868 | ||||||||
\(767\) | −8221.94 | −0.387063 | ||||||||
\(768\) | 5712.76 | − | 2964.84i | 0.268413 | − | 0.139303i | ||||
\(769\) | 3947.75 | + | 1802.88i | 0.185123 | + | 0.0845429i | 0.505820 | − | 0.862639i | \(-0.331190\pi\) |
−0.320697 | + | 0.947182i | \(0.603917\pi\) | |||||||
\(770\) | 23297.4 | − | 20187.3i | 1.09036 | − | 0.944804i | ||||
\(771\) | 339.290 | + | 1734.98i | 0.0158486 | + | 0.0810425i | ||||
\(772\) | −16547.7 | + | 36234.5i | −0.771459 | + | 1.68926i | ||||
\(773\) | −21499.3 | + | 33453.5i | −1.00036 | + | 1.55659i | −0.180854 | + | 0.983510i | \(0.557886\pi\) |
−0.819503 | + | 0.573075i | \(0.805750\pi\) | |||||||
\(774\) | 19780.6 | − | 11564.3i | 0.918603 | − | 0.537044i | ||||
\(775\) | 5769.78i | 0.267428i | ||||||||
\(776\) | −4085.03 | + | 6356.43i | −0.188974 | + | 0.294049i | ||||
\(777\) | 7347.56 | + | 7664.02i | 0.339243 | + | 0.353855i | ||||
\(778\) | 16021.0 | + | 2303.47i | 0.738277 | + | 0.106148i | ||||
\(779\) | 16274.1 | − | 10458.8i | 0.748500 | − | 0.481032i | ||||
\(780\) | −5893.51 | + | 7536.33i | −0.270540 | + | 0.345954i | ||||
\(781\) | 28370.2 | − | 12956.2i | 1.29983 | − | 0.593611i | ||||
\(782\) | 15100.4 | − | 33065.3i | 0.690524 | − | 1.51204i | ||||
\(783\) | −494.822 | + | 1737.57i | −0.0225843 | + | 0.0793048i | ||||
\(784\) | −1320.75 | − | 2892.03i | −0.0601652 | − | 0.131743i | ||||
\(785\) | −1959.58 | − | 2261.47i | −0.0890959 | − | 0.102822i | ||||
\(786\) | 22438.5 | − | 56493.8i | 1.01826 | − | 2.56370i | ||||
\(787\) | −31348.2 | − | 4507.19i | −1.41988 | − | 0.204148i | −0.610770 | − | 0.791808i | \(-0.709140\pi\) |
−0.809108 | + | 0.587661i | \(0.800049\pi\) | |||||||
\(788\) | 37432.1 | − | 10991.0i | 1.69221 | − | 0.496878i | ||||
\(789\) | −2618.86 | − | 13391.7i | −0.118167 | − | 0.604254i | ||||
\(790\) | −25268.0 | + | 3632.99i | −1.13797 | + | 0.163615i | ||||
\(791\) | 13721.3 | + | 21350.8i | 0.616782 | + | 0.959732i | ||||
\(792\) | −20593.9 | − | 10475.4i | −0.923956 | − | 0.469984i | ||||
\(793\) | 12079.2 | − | 3546.76i | 0.540913 | − | 0.158826i | ||||
\(794\) | 15092.3 | − | 33047.6i | 0.674567 | − | 1.47710i | ||||
\(795\) | 9673.56 | + | 27705.7i | 0.431554 | + | 1.23600i | ||||
\(796\) | 24563.2 | + | 15785.8i | 1.09374 | + | 0.702907i | ||||
\(797\) | 6351.20 | + | 5503.34i | 0.282272 | + | 0.244590i | 0.784476 | − | 0.620159i | \(-0.212932\pi\) |
−0.502204 | + | 0.864749i | \(0.667477\pi\) | |||||||
\(798\) | 16528.5 | + | 17240.4i | 0.733212 | + | 0.764792i | ||||
\(799\) | 14711.4 | − | 4319.67i | 0.651381 | − | 0.191263i | ||||
\(800\) | −1735.48 | − | 12070.5i | −0.0766982 | − | 0.533447i | ||||
\(801\) | −16502.2 | − | 11616.3i | −0.727935 | − | 0.512412i | ||||
\(802\) | 10170.4 | − | 11737.3i | 0.447794 | − | 0.516781i | ||||
\(803\) | 47136.9 | 2.07151 | ||||||||
\(804\) | 14601.0 | − | 29157.3i | 0.640470 | − | 1.27898i | ||||
\(805\) | 9579.53 | 0.419421 | ||||||||
\(806\) | −5958.27 | + | 6876.21i | −0.260386 | + | 0.300502i | ||||
\(807\) | 1458.89 | − | 15730.5i | 0.0636372 | − | 0.686171i | ||||
\(808\) | −2549.17 | − | 17729.9i | −0.110990 | − | 0.771950i | ||||
\(809\) | 13927.2 | − | 4089.40i | 0.605259 | − | 0.177720i | 0.0352773 | − | 0.999378i | \(-0.488769\pi\) |
0.569981 | + | 0.821658i | \(0.306950\pi\) | |||||||
\(810\) | −19529.4 | + | 19031.4i | −0.847151 | + | 0.825551i | ||||
\(811\) | 24688.5 | + | 21392.7i | 1.06896 | + | 0.926263i | 0.997464 | − | 0.0711771i | \(-0.0226755\pi\) |
0.0715013 | + | 0.997441i | \(0.477221\pi\) | |||||||
\(812\) | −1812.45 | − | 1164.79i | −0.0783307 | − | 0.0503401i | ||||
\(813\) | −29798.6 | + | 10404.3i | −1.28547 | + | 0.448825i | ||||
\(814\) | −14429.2 | + | 31595.5i | −0.621306 | + | 1.36047i | ||||
\(815\) | −18649.1 | + | 5475.86i | −0.801531 | + | 0.235351i | ||||
\(816\) | 13626.9 | − | 686.307i | 0.584604 | − | 0.0294431i | ||||
\(817\) | −7418.42 | − | 11543.3i | −0.317672 | − | 0.494307i | ||||
\(818\) | −52511.8 | + | 7550.05i | −2.24454 | + | 0.322716i | ||||
\(819\) | −2410.35 | + | 7088.86i | −0.102838 | + | 0.302448i | ||||
\(820\) | −25272.3 | + | 7420.62i | −1.07628 | + | 0.316024i | ||||
\(821\) | 18915.7 | + | 2719.67i | 0.804095 | + | 0.115611i | 0.532094 | − | 0.846685i | \(-0.321405\pi\) |
0.272001 | + | 0.962297i | \(0.412314\pi\) | |||||||
\(822\) | 7085.73 | + | 2814.35i | 0.300661 | + | 0.119418i | ||||
\(823\) | −11820.4 | − | 13641.5i | −0.500649 | − | 0.577780i | 0.448031 | − | 0.894018i | \(-0.352126\pi\) |
−0.948680 | + | 0.316238i | \(0.897580\pi\) | |||||||
\(824\) | −170.074 | − | 372.409i | −0.00719028 | − | 0.0157445i | ||||
\(825\) | −11213.0 | + | 10750.0i | −0.473196 | + | 0.453657i | ||||
\(826\) | 11609.3 | − | 25420.9i | 0.489031 | − | 1.07083i | ||||
\(827\) | −6739.89 | + | 3078.00i | −0.283396 | + | 0.129423i | −0.552042 | − | 0.833816i | \(-0.686151\pi\) |
0.268646 | + | 0.963239i | \(0.413424\pi\) | |||||||
\(828\) | −8989.39 | − | 22104.9i | −0.377298 | − | 0.927776i | ||||
\(829\) | 2617.45 | − | 1682.14i | 0.109660 | − | 0.0704741i | −0.484661 | − | 0.874702i | \(-0.661057\pi\) |
0.594321 | + | 0.804228i | \(0.297421\pi\) | |||||||
\(830\) | −3267.63 | − | 469.814i | −0.136652 | − | 0.0196476i | ||||
\(831\) | −4059.34 | + | 3891.72i | −0.169455 | + | 0.162458i | ||||
\(832\) | 8378.41 | − | 13037.1i | 0.349122 | − | 0.543244i | ||||
\(833\) | 13793.9i | 0.573744i | ||||||||
\(834\) | −20264.7 | − | 11626.4i | −0.841378 | − | 0.482721i | ||||
\(835\) | 11690.2 | − | 18190.3i | 0.484499 | − | 0.753895i | ||||
\(836\) | −19103.4 | + | 41830.6i | −0.790316 | + | 1.73055i | ||||
\(837\) | −11452.9 | + | 10088.9i | −0.472962 | + | 0.416634i | ||||
\(838\) | −20245.7 | + | 17543.0i | −0.834577 | + | 0.723165i | ||||
\(839\) | 3370.27 | + | 1539.15i | 0.138683 | + | 0.0633343i | 0.483548 | − | 0.875318i | \(-0.339348\pi\) |
−0.344865 | + | 0.938652i | \(0.612075\pi\) | |||||||
\(840\) | −4507.09 | − | 8684.42i | −0.185130 | − | 0.356715i | ||||
\(841\) | 24223.2 | 0.993201 | ||||||||
\(842\) | 29162.0 | 1.19357 | ||||||||
\(843\) | −28518.2 | + | 14800.5i | −1.16515 | + | 0.604694i | ||||
\(844\) | 66919.5 | + | 19649.3i | 2.72922 | + | 0.801372i | ||||
\(845\) | 2218.07 | − | 15427.0i | 0.0903007 | − | 0.628055i | ||||
\(846\) | 7753.83 | − | 15243.5i | 0.315109 | − | 0.619483i | ||||
\(847\) | 26717.7 | + | 3841.43i | 1.08386 | + | 0.155836i | ||||
\(848\) | −6803.76 | − | 14898.1i | −0.275521 | − | 0.603307i | ||||
\(849\) | −21503.7 | − | 30024.4i | −0.869262 | − | 1.21370i | ||||
\(850\) | −7032.28 | + | 23949.7i | −0.283771 | + | 0.966435i | ||||
\(851\) | −9818.40 | + | 4483.91i | −0.395500 | + | 0.180619i | ||||
\(852\) | −6314.31 | − | 32288.6i | −0.253902 | − | 1.29834i | ||||
\(853\) | −703.960 | − | 4896.15i | −0.0282569 | − | 0.196531i | 0.970803 | − | 0.239877i | \(-0.0771072\pi\) |
−0.999060 | + | 0.0433463i | \(0.986198\pi\) | |||||||
\(854\) | −6089.69 | + | 42354.7i | −0.244010 | + | 1.69713i | ||||
\(855\) | 11879.8 | + | 11204.5i | 0.475182 | + | 0.448172i | ||||
\(856\) | −13267.5 | + | 11496.3i | −0.529759 | + | 0.459038i | ||||
\(857\) | 970.596 | + | 6750.64i | 0.0386872 | + | 0.269075i | 0.999979 | − | 0.00645647i | \(-0.00205517\pi\) |
−0.961292 | + | 0.275532i | \(0.911146\pi\) | |||||||
\(858\) | −24464.4 | + | 1232.13i | −0.973429 | + | 0.0490259i | ||||
\(859\) | −28072.3 | + | 18041.0i | −1.11504 | + | 0.716590i | −0.962385 | − | 0.271690i | \(-0.912417\pi\) |
−0.152651 | + | 0.988280i | \(0.548781\pi\) | |||||||
\(860\) | 5263.47 | + | 17925.7i | 0.208701 | + | 0.710770i | ||||
\(861\) | −16758.8 | + | 12002.8i | −0.663342 | + | 0.475090i | ||||
\(862\) | −20388.4 | − | 17666.6i | −0.805604 | − | 0.698060i | ||||
\(863\) | 17501.5 | − | 27232.9i | 0.690334 | − | 1.07418i | −0.302321 | − | 0.953206i | \(-0.597762\pi\) |
0.992656 | − | 0.120975i | \(-0.0386021\pi\) | |||||||
\(864\) | 20925.1 | − | 24551.1i | 0.823942 | − | 0.966718i | ||||
\(865\) | −4969.01 | + | 16922.9i | −0.195320 | + | 0.665197i | ||||
\(866\) | 16370.8 | + | 55753.7i | 0.642380 | + | 2.18774i | ||||
\(867\) | −31289.9 | − | 12427.9i | −1.22568 | − | 0.486820i | ||||
\(868\) | −7561.03 | − | 16556.3i | −0.295666 | − | 0.647418i | ||||
\(869\) | −29071.9 | − | 25190.9i | −1.13486 | − | 0.983364i | ||||
\(870\) | −2171.01 | − | 1245.57i | −0.0846024 | − | 0.0485387i | ||||
\(871\) | −588.591 | − | 10385.2i | −0.0228974 | − | 0.404007i | ||||
\(872\) | − | 990.973i | − | 0.0384846i | ||||||
\(873\) | −2471.25 | + | 13208.6i | −0.0958066 | + | 0.512076i | ||||
\(874\) | −22086.8 | + | 10086.7i | −0.854801 | + | 0.390374i | ||||
\(875\) | −21857.0 | + | 3142.57i | −0.844460 | + | 0.121415i | ||||
\(876\) | 11591.2 | − | 48353.7i | 0.447068 | − | 1.86498i | ||||
\(877\) | 24388.8 | + | 7161.19i | 0.939053 | + | 0.275731i | 0.715222 | − | 0.698897i | \(-0.246325\pi\) |
0.223831 | + | 0.974628i | \(0.428144\pi\) | |||||||
\(878\) | −45156.6 | + | 52113.5i | −1.73572 | + | 2.00313i | ||||
\(879\) | 5401.09 | + | 10407.0i | 0.207252 | + | 0.399339i | ||||
\(880\) | −7703.46 | + | 8890.27i | −0.295095 | + | 0.340558i | ||||
\(881\) | −11399.2 | − | 5205.82i | −0.435922 | − | 0.199079i | 0.185352 | − | 0.982672i | \(-0.440657\pi\) |
−0.621274 | + | 0.783593i | \(0.713385\pi\) | |||||||
\(882\) | 11193.0 | + | 10556.8i | 0.427310 | + | 0.403021i | ||||
\(883\) | −14106.6 | − | 21950.2i | −0.537626 | − | 0.836562i | 0.461083 | − | 0.887357i | \(-0.347461\pi\) |
−0.998709 | + | 0.0507947i | \(0.983825\pi\) | |||||||
\(884\) | −19488.4 | + | 12524.4i | −0.741475 | + | 0.476517i | ||||
\(885\) | 7053.39 | − | 17758.4i | 0.267906 | − | 0.674513i | ||||
\(886\) | 10445.6 | + | 12054.9i | 0.396082 | + | 0.457103i | ||||
\(887\) | −11304.6 | − | 38500.0i | −0.427928 | − | 1.45739i | −0.838169 | − | 0.545411i | \(-0.816374\pi\) |
0.410241 | − | 0.911977i | \(-0.365444\pi\) | |||||||
\(888\) | 8684.41 | + | 6791.33i | 0.328187 | + | 0.256646i | ||||
\(889\) | −32678.5 | + | 4698.46i | −1.23285 | + | 0.177257i | ||||
\(890\) | 21129.5 | − | 18308.8i | 0.795802 | − | 0.689566i | ||||
\(891\) | −40945.2 | − | 3460.40i | −1.53952 | − | 0.130110i | ||||
\(892\) | 60453.3 | + | 17750.7i | 2.26920 | + | 0.666297i | ||||
\(893\) | −9316.21 | − | 4254.57i | −0.349110 | − | 0.159433i | ||||
\(894\) | −4632.40 | + | 49949.0i | −0.173300 | + | 1.86862i | ||||
\(895\) | −446.842 | + | 3107.85i | −0.0166886 | + | 0.116072i | ||||
\(896\) | 13938.1 | + | 21688.1i | 0.519686 | + | 0.808647i | ||||
\(897\) | −5996.24 | − | 4689.14i | −0.223198 | − | 0.174544i | ||||
\(898\) | −20751.0 | + | 70671.4i | −0.771125 | + | 2.62621i | ||||
\(899\) | −1178.54 | − | 757.403i | −0.0437226 | − | 0.0280988i | ||||
\(900\) | 8270.17 | + | 14146.0i | 0.306303 | + | 0.523924i | ||||
\(901\) | 71058.3i | 2.62741i | ||||||||
\(902\) | −56732.8 | − | 36460.0i | −2.09423 | − | 1.34588i | ||||
\(903\) | 8513.59 | + | 11887.1i | 0.313748 | + | 0.438069i | ||||
\(904\) | 17258.0 | + | 19916.8i | 0.634948 | + | 0.732769i | ||||
\(905\) | −9265.97 | − | 10693.5i | −0.340344 | − | 0.392778i | ||||
\(906\) | −42133.2 | − | 58828.3i | −1.54501 | − | 2.15722i | ||||
\(907\) | 27784.0 | + | 17855.7i | 1.01715 | + | 0.653681i | 0.939233 | − | 0.343279i | \(-0.111538\pi\) |
0.0779136 | + | 0.996960i | \(0.475174\pi\) | |||||||
\(908\) | − | 27006.4i | − | 0.987047i | ||||||
\(909\) | −16077.9 | − | 27500.9i | −0.586656 | − | 1.00346i | ||||
\(910\) | −8726.41 | − | 5608.13i | −0.317888 | − | 0.204294i | ||||
\(911\) | −9405.74 | + | 32033.0i | −0.342070 | + | 1.16498i | 0.591415 | + | 0.806367i | \(0.298570\pi\) |
−0.933485 | + | 0.358617i | \(0.883249\pi\) | |||||||
\(912\) | −7179.36 | − | 5614.35i | −0.260671 | − | 0.203848i | ||||
\(913\) | −2689.46 | − | 4184.89i | −0.0974899 | − | 0.151697i | ||||
\(914\) | −2931.07 | + | 20386.0i | −0.106073 | + | 0.737756i | ||||
\(915\) | −2701.80 | + | 29132.3i | −0.0976161 | + | 1.05255i | ||||
\(916\) | 396.273 | + | 180.972i | 0.0142939 | + | 0.00652782i | ||||
\(917\) | 37218.2 | + | 10928.3i | 1.34030 | + | 0.393547i | ||||
\(918\) | −59836.1 | + | 27918.9i | −2.15129 | + | 1.00377i | ||||
\(919\) | 4737.90 | − | 4105.42i | 0.170064 | − | 0.147362i | −0.565670 | − | 0.824631i | \(-0.691383\pi\) |
0.735735 | + | 0.677270i | \(0.236837\pi\) | |||||||
\(920\) | 9845.89 | − | 1415.63i | 0.352836 | − | 0.0507302i | ||||
\(921\) | 23184.2 | + | 18130.4i | 0.829474 | + | 0.648660i | ||||
\(922\) | 3230.38 | + | 11001.6i | 0.115387 | + | 0.392972i | ||||
\(923\) | −6872.67 | − | 7931.48i | −0.245088 | − | 0.282847i | ||||
\(924\) | 18088.3 | − | 45541.1i | 0.644004 | − | 1.62142i | ||||
\(925\) | 6235.26 | − | 4007.16i | 0.221637 | − | 0.142437i | ||||
\(926\) | −829.021 | − | 1289.98i | −0.0294204 | − | 0.0457791i | ||||
\(927\) | −529.684 | − | 499.576i | −0.0187671 | − | 0.0177004i | ||||
\(928\) | 2693.36 | + | 1230.02i | 0.0952735 | + | 0.0435100i | ||||
\(929\) | 3197.09 | − | 3689.64i | 0.112910 | − | 0.130305i | −0.696481 | − | 0.717575i | \(-0.745252\pi\) |
0.809391 | + | 0.587270i | \(0.199797\pi\) | |||||||
\(930\) | −9740.38 | − | 18768.1i | −0.343440 | − | 0.661753i | ||||
\(931\) | 6033.85 | − | 6963.43i | 0.212408 | − | 0.245131i | ||||
\(932\) | 1172.98 | + | 344.417i | 0.0412255 | + | 0.0121049i | ||||
\(933\) | −2491.28 | + | 10392.6i | −0.0874178 | + | 0.364670i | ||||
\(934\) | −55051.9 | + | 7915.28i | −1.92865 | + | 0.277297i | ||||
\(935\) | 46424.9 | − | 21201.5i | 1.62380 | − | 0.741566i | ||||
\(936\) | −1429.80 | + | 7642.16i | −0.0499301 | + | 0.266871i | ||||
\(937\) | − | 10980.2i | − | 0.382826i | −0.981510 | − | 0.191413i | \(-0.938693\pi\) | ||
0.981510 | − | 0.191413i | \(-0.0613071\pi\) | |||||||
\(938\) | 32940.5 | + | 12844.0i | 1.14664 | + | 0.447093i | ||||
\(939\) | −3219.05 | − | 1846.85i | −0.111874 | − | 0.0641851i | ||||
\(940\) | 10538.6 | + | 9131.76i | 0.365672 | + | 0.316857i | ||||
\(941\) | −18606.9 | − | 40743.4i | −0.644599 | − | 1.41148i | −0.896203 | − | 0.443645i | \(-0.853685\pi\) |
0.251603 | − | 0.967830i | \(-0.419042\pi\) | |||||||
\(942\) | −7511.23 | − | 2983.35i | −0.259797 | − | 0.103188i | ||||
\(943\) | −5904.18 | − | 20107.8i | −0.203888 | − | 0.694379i | ||||
\(944\) | −3004.48 | + | 10232.3i | −0.103588 | + | 0.352790i | ||||
\(945\) | −13243.3 | − | 11287.4i | −0.455879 | − | 0.388550i | ||||
\(946\) | −25861.1 | + | 40240.7i | −0.888814 | + | 1.38302i | ||||
\(947\) | −33312.4 | − | 28865.3i | −1.14309 | − | 0.990494i | −1.00000 | 0.000783927i | \(-0.999750\pi\) | |
−0.143091 | − | 0.989710i | \(-0.545704\pi\) | |||||||
\(948\) | −32990.2 | + | 23627.8i | −1.13024 | + | 0.809488i | ||||
\(949\) | −4468.66 | − | 15218.9i | −0.152855 | − | 0.520575i | ||||
\(950\) | 14026.4 | − | 9014.21i | 0.479027 | − | 0.307852i | ||||
\(951\) | 16595.2 | − | 835.804i | 0.565864 | − | 0.0284993i | ||||
\(952\) | −3371.69 | − | 23450.6i | −0.114787 | − | 0.798361i | ||||
\(953\) | 31897.3 | − | 27639.1i | 1.08421 | − | 0.939475i | 0.0858281 | − | 0.996310i | \(-0.472646\pi\) |
0.998384 | + | 0.0568352i | \(0.0181010\pi\) | |||||||
\(954\) | 57660.0 | + | 54382.6i | 1.95683 | + | 1.84560i | ||||
\(955\) | 1864.96 | − | 12971.1i | 0.0631924 | − | 0.439513i | ||||
\(956\) | −2498.01 | − | 17374.1i | −0.0845099 | − | 0.587779i | ||||
\(957\) | −723.868 | − | 3701.54i | −0.0244507 | − | 0.125030i | ||||
\(958\) | 25300.7 | − | 11554.4i | 0.853265 | − | 0.389673i | ||||
\(959\) | −1370.68 | + | 4668.09i | −0.0461537 | + | 0.157185i | ||||
\(960\) | 20970.9 | + | 29280.6i | 0.705035 | + | 0.984402i | ||||
\(961\) | 7459.08 | + | 16333.1i | 0.250380 | + | 0.548257i | ||||
\(962\) | 11569.0 | + | 1663.37i | 0.387734 | + | 0.0557478i | ||||
\(963\) | −14155.2 | + | 27828.1i | −0.473670 | + | 0.931203i | ||||
\(964\) | 486.374 | − | 3382.81i | 0.0162501 | − | 0.113022i | ||||
\(965\) | −28334.5 | − | 8319.75i | −0.945201 | − | 0.277536i | ||||
\(966\) | 22964.7 | − | 11918.3i | 0.764882 | − | 0.396963i | ||||
\(967\) | −27452.2 | −0.912931 | −0.456465 | − | 0.889741i | \(-0.650885\pi\) | ||||
−0.456465 | + | 0.889741i | \(0.650885\pi\) | |||||||
\(968\) | 28028.3 | 0.930643 | ||||||||
\(969\) | 18214.6 | + | 35096.6i | 0.603858 | + | 1.16353i | ||||
\(970\) | −16934.4 | − | 7733.66i | −0.560546 | − | 0.255993i | ||||
\(971\) | −3117.58 | + | 2701.40i | −0.103036 | + | 0.0892811i | −0.704855 | − | 0.709351i | \(-0.748988\pi\) |
0.601819 | + | 0.798632i | \(0.294443\pi\) | |||||||
\(972\) | −13618.4 | + | 41151.3i | −0.449393 | + | 1.35795i | ||||
\(973\) | 6193.22 | − | 13561.3i | 0.204055 | − | 0.446818i | ||||
\(974\) | 33506.9 | − | 52137.8i | 1.10229 | − | 1.71520i | ||||
\(975\) | 4533.82 | + | 2601.17i | 0.148921 | + | 0.0854402i | ||||
\(976\) | − | 16328.7i | − | 0.535523i | ||||||
\(977\) | 14237.5 | − | 22153.9i | 0.466220 | − | 0.725453i | −0.525927 | − | 0.850530i | \(-0.676281\pi\) |
0.992147 | + | 0.125077i | \(0.0399178\pi\) | |||||||
\(978\) | −37894.0 | + | 36329.2i | −1.23897 | + | 1.18781i | ||||
\(979\) | 41701.3 | + | 5995.75i | 1.36137 | + | 0.195735i | ||||
\(980\) | −10553.7 | + | 6782.45i | −0.344006 | + | 0.221079i | ||||
\(981\) | −663.912 | − | 1632.56i | −0.0216076 | − | 0.0531332i | ||||
\(982\) | −86848.4 | + | 39662.3i | −2.82224 | + | 1.28888i | ||||
\(983\) | 4984.14 | − | 10913.8i | 0.161719 | − | 0.354115i | −0.811374 | − | 0.584527i | \(-0.801280\pi\) |
0.973093 | + | 0.230412i | \(0.0740074\pi\) | |||||||
\(984\) | −15451.0 | + | 14813.0i | −0.500571 | + | 0.479901i | ||||
\(985\) | 12014.4 | + | 26307.8i | 0.388639 | + | 0.851001i | ||||
\(986\) | −3968.87 | − | 4580.32i | −0.128189 | − | 0.147938i | ||||
\(987\) | 10142.6 | + | 4028.49i | 0.327094 | + | 0.129917i | ||||
\(988\) | 15316.7 | + | 2202.21i | 0.493207 | + | 0.0709125i | ||||
\(989\) | −14262.5 | + | 4187.85i | −0.458566 | + | 0.134647i | ||||
\(990\) | 18326.1 | − | 53897.4i | 0.588326 | − | 1.73027i | ||||
\(991\) | −26875.5 | + | 3864.12i | −0.861483 | + | 0.123863i | −0.558874 | − | 0.829252i | \(-0.688767\pi\) |
−0.302609 | + | 0.953115i | \(0.597857\pi\) | |||||||
\(992\) | 13523.7 | + | 21043.4i | 0.432842 | + | 0.673515i | ||||
\(993\) | 9811.83 | − | 494.165i | 0.313564 | − | 0.0157924i | ||||
\(994\) | 34226.9 | − | 10049.9i | 1.09217 | − | 0.320689i | ||||
\(995\) | −8992.02 | + | 19689.8i | −0.286499 | + | 0.627345i | ||||
\(996\) | −4954.28 | + | 1729.81i | −0.157613 | + | 0.0550311i | ||||
\(997\) | 23710.4 | + | 15237.7i | 0.753174 | + | 0.484036i | 0.860033 | − | 0.510239i | \(-0.170443\pi\) |
−0.106859 | + | 0.994274i | \(0.534079\pi\) | |||||||
\(998\) | 62830.6 | + | 54443.0i | 1.99285 | + | 1.72682i | ||||
\(999\) | 18856.9 | + | 5370.03i | 0.597203 | + | 0.170070i |
(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 | 201.4.j.b.5.10 | ✓ | 640 | |
3.2 | odd | 2 | inner | 201.4.j.b.5.55 | yes | 640 | |
67.27 | odd | 22 | inner | 201.4.j.b.161.55 | yes | 640 | |
201.161 | even | 22 | inner | 201.4.j.b.161.10 | yes | 640 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
201.4.j.b.5.10 | ✓ | 640 | 1.1 | even | 1 | trivial | |
201.4.j.b.5.55 | yes | 640 | 3.2 | odd | 2 | inner | |
201.4.j.b.161.10 | yes | 640 | 201.161 | even | 22 | inner | |
201.4.j.b.161.55 | yes | 640 | 67.27 | odd | 22 | inner |