Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [105,4,Mod(26,105)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(105, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 0, 5]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("105.26");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 105 = 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 105.s (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.19520055060\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 26.10 | ||
Character | \(\chi\) | \(=\) | 105.26 |
Dual form | 105.4.s.a.101.10 |
$q$-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 \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).
\(n\) | \(22\) | \(31\) | \(71\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.815639 | + | 0.470909i | 0.288372 | + | 0.166492i | 0.637207 | − | 0.770692i | \(-0.280089\pi\) |
−0.348835 | + | 0.937184i | \(0.613423\pi\) | |||||||
\(3\) | −4.77022 | − | 2.06035i | −0.918029 | − | 0.396514i | ||||
\(4\) | −3.55649 | − | 6.16002i | −0.444561 | − | 0.770002i | ||||
\(5\) | −2.50000 | + | 4.33013i | −0.223607 | + | 0.387298i | ||||
\(6\) | −2.92054 | − | 3.92684i | −0.198718 | − | 0.267188i | ||||
\(7\) | 13.9941 | + | 12.1312i | 0.755608 | + | 0.655024i | ||||
\(8\) | − | 14.2337i | − | 0.629046i | ||||||
\(9\) | 18.5099 | + | 19.6566i | 0.685554 | + | 0.728022i | ||||
\(10\) | −4.07820 | + | 2.35455i | −0.128964 | + | 0.0744573i | ||||
\(11\) | −55.6111 | + | 32.1071i | −1.52431 | + | 0.880059i | −0.524720 | + | 0.851275i | \(0.675830\pi\) |
−0.999586 | + | 0.0287839i | \(0.990837\pi\) | |||||||
\(12\) | 4.27345 | + | 36.7122i | 0.102803 | + | 0.883159i | ||||
\(13\) | 67.4233i | 1.43845i | 0.694777 | + | 0.719225i | \(0.255503\pi\) | ||||
−0.694777 | + | 0.719225i | \(0.744497\pi\) | |||||||
\(14\) | 5.70141 | + | 16.4846i | 0.108840 | + | 0.314693i | ||||
\(15\) | 20.8471 | − | 15.5048i | 0.358847 | − | 0.266888i | ||||
\(16\) | −21.7491 | + | 37.6706i | −0.339830 | + | 0.588603i | ||||
\(17\) | −25.5674 | − | 44.2840i | −0.364764 | − | 0.631791i | 0.623974 | − | 0.781445i | \(-0.285517\pi\) |
−0.988738 | + | 0.149655i | \(0.952184\pi\) | |||||||
\(18\) | 5.84096 | + | 24.7492i | 0.0764849 | + | 0.324080i | ||||
\(19\) | 99.0631 | + | 57.1941i | 1.19614 | + | 0.690591i | 0.959692 | − | 0.281053i | \(-0.0906838\pi\) |
0.236447 | + | 0.971644i | \(0.424017\pi\) | |||||||
\(20\) | 35.5649 | 0.397628 | ||||||||
\(21\) | −41.7602 | − | 86.7011i | −0.433944 | − | 0.900940i | ||||
\(22\) | −60.4781 | −0.586090 | ||||||||
\(23\) | −74.0258 | − | 42.7388i | −0.671106 | − | 0.387463i | 0.125389 | − | 0.992108i | \(-0.459982\pi\) |
−0.796496 | + | 0.604644i | \(0.793315\pi\) | |||||||
\(24\) | −29.3263 | + | 67.8978i | −0.249425 | + | 0.577482i | ||||
\(25\) | −12.5000 | − | 21.6506i | −0.100000 | − | 0.173205i | ||||
\(26\) | −31.7503 | + | 54.9931i | −0.239490 | + | 0.414809i | ||||
\(27\) | −47.7971 | − | 131.903i | −0.340687 | − | 0.940177i | ||||
\(28\) | 24.9587 | − | 129.348i | 0.168456 | − | 0.873018i | ||||
\(29\) | 138.431i | 0.886411i | 0.896420 | + | 0.443205i | \(0.146159\pi\) | ||||
−0.896420 | + | 0.443205i | \(0.853841\pi\) | |||||||
\(30\) | 24.3051 | − | 2.82921i | 0.147916 | − | 0.0172180i | ||||
\(31\) | −23.9598 | + | 13.8332i | −0.138816 | + | 0.0801455i | −0.567800 | − | 0.823167i | \(-0.692205\pi\) |
0.428984 | + | 0.903312i | \(0.358872\pi\) | |||||||
\(32\) | −134.093 | + | 77.4185i | −0.740765 | + | 0.427681i | ||||
\(33\) | 331.429 | − | 38.5796i | 1.74831 | − | 0.203511i | ||||
\(34\) | − | 48.1597i | − | 0.242921i | ||||||
\(35\) | −87.5148 | + | 30.2681i | −0.422649 | + | 0.146178i | ||||
\(36\) | 55.2546 | − | 183.930i | 0.255808 | − | 0.851528i | ||||
\(37\) | 63.3925 | − | 109.799i | 0.281667 | − | 0.487861i | −0.690129 | − | 0.723687i | \(-0.742446\pi\) |
0.971795 | + | 0.235826i | \(0.0757794\pi\) | |||||||
\(38\) | 53.8665 | + | 93.2995i | 0.229955 | + | 0.398294i | ||||
\(39\) | 138.915 | − | 321.624i | 0.570365 | − | 1.32054i | ||||
\(40\) | 61.6337 | + | 35.5842i | 0.243628 | + | 0.140659i | ||||
\(41\) | 72.8096 | 0.277340 | 0.138670 | − | 0.990339i | \(-0.455717\pi\) | ||||
0.138670 | + | 0.990339i | \(0.455717\pi\) | |||||||
\(42\) | 6.76709 | − | 90.3821i | 0.0248615 | − | 0.332054i | ||||
\(43\) | −550.446 | −1.95215 | −0.976073 | − | 0.217444i | \(-0.930228\pi\) | ||||
−0.976073 | + | 0.217444i | \(0.930228\pi\) | |||||||
\(44\) | 395.560 | + | 228.377i | 1.35529 | + | 0.782480i | ||||
\(45\) | −131.390 | + | 31.0089i | −0.435256 | + | 0.102723i | ||||
\(46\) | −40.2522 | − | 69.7189i | −0.129019 | − | 0.223467i | ||||
\(47\) | −86.4414 | + | 149.721i | −0.268272 | + | 0.464660i | −0.968416 | − | 0.249341i | \(-0.919786\pi\) |
0.700144 | + | 0.714002i | \(0.253119\pi\) | |||||||
\(48\) | 181.363 | − | 134.886i | 0.545363 | − | 0.405607i | ||||
\(49\) | 48.6676 | + | 339.530i | 0.141888 | + | 0.989883i | ||||
\(50\) | − | 23.5455i | − | 0.0665967i | ||||||
\(51\) | 30.7216 | + | 263.922i | 0.0843506 | + | 0.724636i | ||||
\(52\) | 415.329 | − | 239.790i | 1.10761 | − | 0.639479i | ||||
\(53\) | −151.278 | + | 87.3402i | −0.392068 | + | 0.226360i | −0.683056 | − | 0.730366i | \(-0.739349\pi\) |
0.290988 | + | 0.956727i | \(0.406016\pi\) | |||||||
\(54\) | 23.1293 | − | 130.093i | 0.0582869 | − | 0.327842i | ||||
\(55\) | − | 321.071i | − | 0.787148i | ||||||
\(56\) | 172.672 | − | 199.187i | 0.412040 | − | 0.475312i | ||||
\(57\) | −354.713 | − | 476.933i | −0.824261 | − | 1.10827i | ||||
\(58\) | −65.1883 | + | 112.909i | −0.147580 | + | 0.255616i | ||||
\(59\) | −159.186 | − | 275.719i | −0.351259 | − | 0.608399i | 0.635211 | − | 0.772339i | \(-0.280913\pi\) |
−0.986470 | + | 0.163940i | \(0.947580\pi\) | |||||||
\(60\) | −169.652 | − | 73.2760i | −0.365033 | − | 0.157665i | ||||
\(61\) | 4.36492 | + | 2.52009i | 0.00916181 | + | 0.00528958i | 0.504574 | − | 0.863369i | \(-0.331650\pi\) |
−0.495412 | + | 0.868658i | \(0.664983\pi\) | |||||||
\(62\) | −26.0567 | −0.0533742 | ||||||||
\(63\) | 20.5711 | + | 499.624i | 0.0411384 | + | 0.999153i | ||||
\(64\) | 202.158 | 0.394839 | ||||||||
\(65\) | −291.951 | − | 168.558i | −0.557109 | − | 0.321647i | ||||
\(66\) | 288.494 | + | 124.606i | 0.538047 | + | 0.232393i | ||||
\(67\) | −96.8702 | − | 167.784i | −0.176636 | − | 0.305942i | 0.764091 | − | 0.645109i | \(-0.223188\pi\) |
−0.940726 | + | 0.339167i | \(0.889855\pi\) | |||||||
\(68\) | −181.860 | + | 314.991i | −0.324320 | + | 0.561739i | ||||
\(69\) | 265.062 | + | 356.392i | 0.462460 | + | 0.621805i | ||||
\(70\) | −85.6340 | − | 16.5237i | −0.146217 | − | 0.0282138i | ||||
\(71\) | 22.7504i | 0.0380278i | 0.999819 | + | 0.0190139i | \(0.00605268\pi\) | ||||
−0.999819 | + | 0.0190139i | \(0.993947\pi\) | |||||||
\(72\) | 279.786 | − | 263.465i | 0.457959 | − | 0.431245i | ||||
\(73\) | 354.237 | − | 204.519i | 0.567950 | − | 0.327906i | −0.188380 | − | 0.982096i | \(-0.560324\pi\) |
0.756330 | + | 0.654190i | \(0.226990\pi\) | |||||||
\(74\) | 103.411 | − | 59.7043i | 0.162450 | − | 0.0937903i | ||||
\(75\) | 15.0199 | + | 129.033i | 0.0231247 | + | 0.198659i | ||||
\(76\) | − | 813.641i | − | 1.22804i | ||||||
\(77\) | −1167.72 | − | 225.321i | −1.72824 | − | 0.333477i | ||||
\(78\) | 264.760 | − | 196.912i | 0.384336 | − | 0.285845i | ||||
\(79\) | −311.784 | + | 540.026i | −0.444031 | + | 0.769084i | −0.997984 | − | 0.0634634i | \(-0.979785\pi\) |
0.553953 | + | 0.832548i | \(0.313119\pi\) | |||||||
\(80\) | −108.746 | − | 188.353i | −0.151977 | − | 0.263231i | ||||
\(81\) | −43.7636 | + | 727.685i | −0.0600324 | + | 0.998196i | ||||
\(82\) | 59.3864 | + | 34.2867i | 0.0799772 | + | 0.0461748i | ||||
\(83\) | 1139.34 | 1.50674 | 0.753369 | − | 0.657598i | \(-0.228427\pi\) | ||||
0.753369 | + | 0.657598i | \(0.228427\pi\) | |||||||
\(84\) | −385.561 | + | 565.595i | −0.500811 | + | 0.734661i | ||||
\(85\) | 255.674 | 0.326255 | ||||||||
\(86\) | −448.965 | − | 259.210i | −0.562944 | − | 0.325016i | ||||
\(87\) | 285.215 | − | 660.344i | 0.351474 | − | 0.813751i | ||||
\(88\) | 457.002 | + | 791.551i | 0.553597 | + | 0.958859i | ||||
\(89\) | −169.189 | + | 293.044i | −0.201506 | + | 0.349018i | −0.949014 | − | 0.315235i | \(-0.897917\pi\) |
0.747508 | + | 0.664253i | \(0.231250\pi\) | |||||||
\(90\) | −121.770 | − | 36.5809i | −0.142618 | − | 0.0428441i | ||||
\(91\) | −817.926 | + | 943.525i | −0.942219 | + | 1.08690i | ||||
\(92\) | 608.000i | 0.689004i | ||||||||
\(93\) | 142.794 | − | 16.6218i | 0.159216 | − | 0.0185334i | ||||
\(94\) | −141.010 | + | 81.4121i | −0.154724 | + | 0.0893300i | ||||
\(95\) | −495.316 | + | 285.971i | −0.534930 | + | 0.308842i | ||||
\(96\) | 799.161 | − | 93.0255i | 0.849625 | − | 0.0988998i | ||||
\(97\) | 53.6953i | 0.0562055i | 0.999605 | + | 0.0281028i | \(0.00894656\pi\) | ||||
−0.999605 | + | 0.0281028i | \(0.991053\pi\) | |||||||
\(98\) | −120.193 | + | 299.852i | −0.123891 | + | 0.309078i | ||||
\(99\) | −1660.47 | − | 498.824i | −1.68570 | − | 0.506401i | ||||
\(100\) | −88.9122 | + | 154.000i | −0.0889122 | + | 0.154000i | ||||
\(101\) | 850.191 | + | 1472.57i | 0.837596 | + | 1.45076i | 0.891899 | + | 0.452234i | \(0.149373\pi\) |
−0.0543035 | + | 0.998524i | \(0.517294\pi\) | |||||||
\(102\) | −99.2255 | + | 229.732i | −0.0963215 | + | 0.223008i | ||||
\(103\) | −118.675 | − | 68.5171i | −0.113528 | − | 0.0655455i | 0.442161 | − | 0.896936i | \(-0.354212\pi\) |
−0.555689 | + | 0.831390i | \(0.687545\pi\) | |||||||
\(104\) | 959.682 | 0.904851 | ||||||||
\(105\) | 479.827 | + | 35.9256i | 0.445965 | + | 0.0333903i | ||||
\(106\) | −164.517 | −0.150748 | ||||||||
\(107\) | −1181.41 | − | 682.087i | −1.06739 | − | 0.616260i | −0.139926 | − | 0.990162i | \(-0.544686\pi\) |
−0.927468 | + | 0.373902i | \(0.878020\pi\) | |||||||
\(108\) | −642.536 | + | 763.543i | −0.572482 | + | 0.680296i | ||||
\(109\) | 765.640 | + | 1326.13i | 0.672798 | + | 1.16532i | 0.977107 | + | 0.212747i | \(0.0682412\pi\) |
−0.304309 | + | 0.952573i | \(0.598425\pi\) | |||||||
\(110\) | 151.195 | − | 261.878i | 0.131054 | − | 0.226991i | ||||
\(111\) | −528.620 | + | 393.155i | −0.452022 | + | 0.336186i | ||||
\(112\) | −761.349 | + | 263.322i | −0.642327 | + | 0.222157i | ||||
\(113\) | − | 1273.71i | − | 1.06035i | −0.847887 | − | 0.530177i | \(-0.822125\pi\) | ||
0.847887 | − | 0.530177i | \(-0.177875\pi\) | |||||||
\(114\) | −64.7256 | − | 556.043i | −0.0531764 | − | 0.456826i | ||||
\(115\) | 370.129 | − | 213.694i | 0.300128 | − | 0.173279i | ||||
\(116\) | 852.735 | − | 492.327i | 0.682539 | − | 0.394064i | ||||
\(117\) | −1325.31 | + | 1248.00i | −1.04722 | + | 0.986135i | ||||
\(118\) | − | 299.849i | − | 0.233927i | ||||||
\(119\) | 179.427 | − | 929.876i | 0.138219 | − | 0.716316i | ||||
\(120\) | −220.690 | − | 296.731i | −0.167885 | − | 0.225731i | ||||
\(121\) | 1396.23 | − | 2418.34i | 1.04901 | − | 1.81693i | ||||
\(122\) | 2.37347 | + | 4.11096i | 0.00176134 | + | 0.00305073i | ||||
\(123\) | −347.318 | − | 150.013i | −0.254606 | − | 0.109969i | ||||
\(124\) | 170.425 | + | 98.3950i | 0.123424 | + | 0.0712591i | ||||
\(125\) | 125.000 | 0.0894427 | ||||||||
\(126\) | −218.499 | + | 417.200i | −0.154488 | + | 0.294977i | ||||
\(127\) | −89.8483 | −0.0627775 | −0.0313888 | − | 0.999507i | \(-0.509993\pi\) | ||||
−0.0313888 | + | 0.999507i | \(0.509993\pi\) | |||||||
\(128\) | 1237.63 | + | 714.546i | 0.854625 | + | 0.493418i | ||||
\(129\) | 2625.75 | + | 1134.11i | 1.79213 | + | 0.774053i | ||||
\(130\) | −158.751 | − | 274.965i | −0.107103 | − | 0.185508i | ||||
\(131\) | −788.646 | + | 1365.98i | −0.525987 | + | 0.911037i | 0.473554 | + | 0.880765i | \(0.342971\pi\) |
−0.999542 | + | 0.0302722i | \(0.990363\pi\) | |||||||
\(132\) | −1416.37 | − | 1904.40i | −0.933935 | − | 1.25573i | ||||
\(133\) | 692.462 | + | 2002.13i | 0.451459 | + | 1.30532i | ||||
\(134\) | − | 182.468i | − | 0.117633i | ||||||
\(135\) | 690.650 | + | 122.790i | 0.440309 | + | 0.0782823i | ||||
\(136\) | −630.324 | + | 363.918i | −0.397425 | + | 0.229454i | ||||
\(137\) | 1978.11 | − | 1142.06i | 1.23359 | − | 0.712212i | 0.265811 | − | 0.964025i | \(-0.414360\pi\) |
0.967776 | + | 0.251813i | \(0.0810269\pi\) | |||||||
\(138\) | 48.3668 | + | 415.508i | 0.0298352 | + | 0.256307i | ||||
\(139\) | − | 1032.66i | − | 0.630139i | −0.949069 | − | 0.315070i | \(-0.897972\pi\) | ||
0.949069 | − | 0.315070i | \(-0.102028\pi\) | |||||||
\(140\) | 497.697 | + | 431.445i | 0.300451 | + | 0.260455i | ||||
\(141\) | 720.821 | − | 536.102i | 0.430525 | − | 0.320198i | ||||
\(142\) | −10.7134 | + | 18.5561i | −0.00633131 | + | 0.0109662i | ||||
\(143\) | −2164.76 | − | 3749.48i | −1.26592 | − | 2.19264i | ||||
\(144\) | −1143.05 | + | 269.767i | −0.661488 | + | 0.156115i | ||||
\(145\) | −599.422 | − | 346.077i | −0.343306 | − | 0.198208i | ||||
\(146\) | 385.240 | 0.218374 | ||||||||
\(147\) | 467.394 | − | 1719.90i | 0.262245 | − | 0.965001i | ||||
\(148\) | −901.819 | −0.500872 | ||||||||
\(149\) | 2186.22 | + | 1262.22i | 1.20203 | + | 0.693992i | 0.961006 | − | 0.276528i | \(-0.0891837\pi\) |
0.241023 | + | 0.970519i | \(0.422517\pi\) | |||||||
\(150\) | −48.5118 | + | 112.317i | −0.0264065 | + | 0.0611376i | ||||
\(151\) | −1561.52 | − | 2704.64i | −0.841556 | − | 1.45762i | −0.888578 | − | 0.458725i | \(-0.848306\pi\) |
0.0470221 | − | 0.998894i | \(-0.485027\pi\) | |||||||
\(152\) | 814.083 | − | 1410.03i | 0.434414 | − | 0.752426i | ||||
\(153\) | 397.222 | − | 1322.26i | 0.209892 | − | 0.698683i | ||||
\(154\) | −846.334 | − | 733.672i | −0.442854 | − | 0.383902i | ||||
\(155\) | − | 138.332i | − | 0.0716843i | ||||||
\(156\) | −2475.26 | + | 288.130i | −1.27038 | + | 0.147877i | ||||
\(157\) | −283.566 | + | 163.717i | −0.144147 | + | 0.0832231i | −0.570339 | − | 0.821410i | \(-0.693188\pi\) |
0.426192 | + | 0.904633i | \(0.359855\pi\) | |||||||
\(158\) | −508.607 | + | 293.644i | −0.256092 | + | 0.147855i | ||||
\(159\) | 901.578 | − | 104.947i | 0.449684 | − | 0.0523451i | ||||
\(160\) | − | 774.185i | − | 0.382529i | ||||||
\(161\) | −517.448 | − | 1496.11i | −0.253296 | − | 0.732361i | ||||
\(162\) | −378.369 | + | 572.920i | −0.183503 | + | 0.277857i | ||||
\(163\) | 1249.41 | − | 2164.05i | 0.600378 | − | 1.03989i | −0.392385 | − | 0.919801i | \(-0.628350\pi\) |
0.992764 | − | 0.120085i | \(-0.0383166\pi\) | |||||||
\(164\) | −258.947 | − | 448.509i | −0.123295 | − | 0.213553i | ||||
\(165\) | −661.517 | + | 1531.58i | −0.312115 | + | 0.722625i | ||||
\(166\) | 929.294 | + | 536.528i | 0.434501 | + | 0.250859i | ||||
\(167\) | 2295.49 | 1.06366 | 0.531828 | − | 0.846852i | \(-0.321505\pi\) | ||||
0.531828 | + | 0.846852i | \(0.321505\pi\) | |||||||
\(168\) | −1234.08 | + | 594.402i | −0.566733 | + | 0.272971i | ||||
\(169\) | −2348.90 | −1.06914 | ||||||||
\(170\) | 208.537 | + | 120.399i | 0.0940829 | + | 0.0543188i | ||||
\(171\) | 709.411 | + | 3005.90i | 0.317252 | + | 1.34425i | ||||
\(172\) | 1957.66 | + | 3390.76i | 0.867848 | + | 1.50316i | ||||
\(173\) | −749.930 | + | 1298.92i | −0.329573 | + | 0.570837i | −0.982427 | − | 0.186646i | \(-0.940238\pi\) |
0.652854 | + | 0.757484i | \(0.273572\pi\) | |||||||
\(174\) | 543.595 | − | 404.292i | 0.236838 | − | 0.176145i | ||||
\(175\) | 87.7225 | − | 454.620i | 0.0378926 | − | 0.196378i | ||||
\(176\) | − | 2793.20i | − | 1.19628i | ||||||
\(177\) | 191.277 | + | 1643.22i | 0.0812276 | + | 0.697807i | ||||
\(178\) | −275.994 | + | 159.345i | −0.116217 | + | 0.0670980i | ||||
\(179\) | 429.860 | − | 248.180i | 0.179493 | − | 0.103630i | −0.407562 | − | 0.913178i | \(-0.633621\pi\) |
0.587054 | + | 0.809548i | \(0.300287\pi\) | |||||||
\(180\) | 658.304 | + | 699.085i | 0.272595 | + | 0.289482i | ||||
\(181\) | 1497.18i | 0.614831i | 0.951575 | + | 0.307415i | \(0.0994641\pi\) | ||||
−0.951575 | + | 0.307415i | \(0.900536\pi\) | |||||||
\(182\) | −1111.45 | + | 384.407i | −0.452670 | + | 0.156561i | ||||
\(183\) | −15.6294 | − | 21.0146i | −0.00631342 | − | 0.00848877i | ||||
\(184\) | −608.331 | + | 1053.66i | −0.243732 | + | 0.422157i | ||||
\(185\) | 316.963 | + | 548.996i | 0.125965 | + | 0.218178i | ||||
\(186\) | 124.296 | + | 53.6858i | 0.0489991 | + | 0.0211636i | ||||
\(187\) | 2843.66 | + | 1641.79i | 1.11203 | + | 0.642028i | ||||
\(188\) | 1229.71 | 0.477053 | ||||||||
\(189\) | 931.269 | − | 2425.70i | 0.358412 | − | 0.933564i | ||||
\(190\) | −538.665 | −0.205678 | ||||||||
\(191\) | 584.786 | + | 337.627i | 0.221537 | + | 0.127905i | 0.606662 | − | 0.794960i | \(-0.292508\pi\) |
−0.385124 | + | 0.922865i | \(0.625841\pi\) | |||||||
\(192\) | −964.336 | − | 416.515i | −0.362474 | − | 0.156559i | ||||
\(193\) | −5.52531 | − | 9.57011i | −0.00206073 | − | 0.00356928i | 0.864993 | − | 0.501784i | \(-0.167323\pi\) |
−0.867054 | + | 0.498214i | \(0.833989\pi\) | |||||||
\(194\) | −25.2856 | + | 43.7960i | −0.00935775 | + | 0.0162081i | ||||
\(195\) | 1045.38 | + | 1405.58i | 0.383905 | + | 0.516183i | ||||
\(196\) | 1918.42 | − | 1507.33i | 0.699134 | − | 0.549318i | ||||
\(197\) | 3040.50i | 1.09963i | 0.835288 | + | 0.549813i | \(0.185301\pi\) | ||||
−0.835288 | + | 0.549813i | \(0.814699\pi\) | |||||||
\(198\) | −1119.45 | − | 1188.79i | −0.401796 | − | 0.426686i | ||||
\(199\) | 1340.00 | − | 773.648i | 0.477336 | − | 0.275590i | −0.241969 | − | 0.970284i | \(-0.577793\pi\) |
0.719306 | + | 0.694694i | \(0.244460\pi\) | |||||||
\(200\) | −308.168 | + | 177.921i | −0.108954 | + | 0.0629046i | ||||
\(201\) | 116.399 | + | 999.953i | 0.0408464 | + | 0.350902i | ||||
\(202\) | 1601.45i | 0.557811i | ||||||||
\(203\) | −1679.33 | + | 1937.21i | −0.580620 | + | 0.669780i | ||||
\(204\) | 1516.50 | − | 1127.88i | 0.520473 | − | 0.387095i | ||||
\(205\) | −182.024 | + | 315.275i | −0.0620152 | + | 0.107413i | ||||
\(206\) | −64.5307 | − | 111.770i | −0.0218256 | − | 0.0378030i | ||||
\(207\) | −530.114 | − | 2246.19i | −0.177997 | − | 0.754207i | ||||
\(208\) | −2539.87 | − | 1466.40i | −0.846676 | − | 0.488829i | ||||
\(209\) | −7345.34 | −2.43104 | ||||||||
\(210\) | 374.448 | + | 255.258i | 0.123045 | + | 0.0838783i | ||||
\(211\) | −2361.86 | −0.770602 | −0.385301 | − | 0.922791i | \(-0.625902\pi\) | ||||
−0.385301 | + | 0.922791i | \(0.625902\pi\) | |||||||
\(212\) | 1076.03 | + | 621.249i | 0.348596 | + | 0.201262i | ||||
\(213\) | 46.8737 | − | 108.524i | 0.0150785 | − | 0.0349106i | ||||
\(214\) | −642.403 | − | 1112.67i | −0.205204 | − | 0.355424i | ||||
\(215\) | 1376.12 | − | 2383.50i | 0.436513 | − | 0.756063i | ||||
\(216\) | −1877.47 | + | 680.329i | −0.591414 | + | 0.214308i | ||||
\(217\) | −503.107 | − | 97.0785i | −0.157388 | − | 0.0303692i | ||||
\(218\) | 1442.19i | 0.448061i | ||||||||
\(219\) | −2111.17 | + | 245.749i | −0.651413 | + | 0.0758272i | ||||
\(220\) | −1977.80 | + | 1141.88i | −0.606106 | + | 0.349935i | ||||
\(221\) | 2985.77 | − | 1723.84i | 0.908799 | − | 0.524695i | ||||
\(222\) | −616.304 | + | 71.7403i | −0.186323 | + | 0.0216887i | ||||
\(223\) | 816.141i | 0.245080i | 0.992464 | + | 0.122540i | \(0.0391040\pi\) | ||||
−0.992464 | + | 0.122540i | \(0.960896\pi\) | |||||||
\(224\) | −2815.68 | − | 543.308i | −0.839869 | − | 0.162059i | ||||
\(225\) | 194.203 | − | 646.460i | 0.0575418 | − | 0.191544i | ||||
\(226\) | 599.800 | − | 1038.88i | 0.176540 | − | 0.305777i | ||||
\(227\) | 1121.51 | + | 1942.51i | 0.327917 | + | 0.567969i | 0.982098 | − | 0.188369i | \(-0.0603201\pi\) |
−0.654181 | + | 0.756338i | \(0.726987\pi\) | |||||||
\(228\) | −1676.38 | + | 3881.24i | −0.486935 | + | 1.12738i | ||||
\(229\) | 3383.87 | + | 1953.68i | 0.976473 | + | 0.563767i | 0.901203 | − | 0.433397i | \(-0.142685\pi\) |
0.0752693 | + | 0.997163i | \(0.476018\pi\) | |||||||
\(230\) | 402.522 | 0.115398 | ||||||||
\(231\) | 5106.05 | + | 3480.74i | 1.45434 | + | 0.991411i | ||||
\(232\) | 1970.38 | 0.557593 | ||||||||
\(233\) | −1273.22 | − | 735.092i | −0.357988 | − | 0.206684i | 0.310210 | − | 0.950668i | \(-0.399601\pi\) |
−0.668198 | + | 0.743984i | \(0.732934\pi\) | |||||||
\(234\) | −1668.67 | + | 393.817i | −0.466173 | + | 0.110020i | ||||
\(235\) | −432.207 | − | 748.604i | −0.119975 | − | 0.207802i | ||||
\(236\) | −1132.29 | + | 1961.18i | −0.312312 | + | 0.540941i | ||||
\(237\) | 2599.92 | − | 1933.66i | 0.712586 | − | 0.529977i | ||||
\(238\) | 584.235 | − | 673.949i | 0.159119 | − | 0.183553i | ||||
\(239\) | 3458.17i | 0.935944i | 0.883743 | + | 0.467972i | \(0.155015\pi\) | ||||
−0.883743 | + | 0.467972i | \(0.844985\pi\) | |||||||
\(240\) | 130.668 | + | 1122.54i | 0.0351441 | + | 0.301915i | ||||
\(241\) | 2323.76 | − | 1341.63i | 0.621107 | − | 0.358596i | −0.156193 | − | 0.987727i | \(-0.549922\pi\) |
0.777300 | + | 0.629130i | \(0.216589\pi\) | |||||||
\(242\) | 2277.63 | − | 1314.99i | 0.605008 | − | 0.349301i | ||||
\(243\) | 1708.05 | − | 3381.05i | 0.450910 | − | 0.892569i | ||||
\(244\) | − | 35.8506i | − | 0.00940616i | ||||||
\(245\) | −1591.88 | − | 638.087i | −0.415107 | − | 0.166391i | ||||
\(246\) | −212.643 | − | 285.912i | −0.0551124 | − | 0.0741019i | ||||
\(247\) | −3856.21 | + | 6679.16i | −0.993381 | + | 1.72059i | ||||
\(248\) | 196.897 | + | 341.036i | 0.0504152 | + | 0.0873217i | ||||
\(249\) | −5434.92 | − | 2347.44i | −1.38323 | − | 0.597442i | ||||
\(250\) | 101.955 | + | 58.8637i | 0.0257928 | + | 0.0148915i | ||||
\(251\) | −5464.21 | −1.37409 | −0.687047 | − | 0.726613i | \(-0.741093\pi\) | ||||
−0.687047 | + | 0.726613i | \(0.741093\pi\) | |||||||
\(252\) | 3004.53 | − | 1903.62i | 0.751062 | − | 0.475861i | ||||
\(253\) | 5488.87 | 1.36396 | ||||||||
\(254\) | −73.2838 | − | 42.3104i | −0.0181033 | − | 0.0104519i | ||||
\(255\) | −1219.62 | − | 526.776i | −0.299512 | − | 0.129365i | ||||
\(256\) | −135.658 | − | 234.966i | −0.0331196 | − | 0.0573648i | ||||
\(257\) | −2046.30 | + | 3544.29i | −0.496672 | + | 0.860261i | −0.999993 | − | 0.00383897i | \(-0.998778\pi\) |
0.503321 | + | 0.864100i | \(0.332111\pi\) | |||||||
\(258\) | 1607.60 | + | 2161.51i | 0.387926 | + | 0.521589i | ||||
\(259\) | 2219.11 | − | 767.508i | 0.532390 | − | 0.184134i | ||||
\(260\) | 2397.90i | 0.571967i | ||||||||
\(261\) | −2721.07 | + | 2562.34i | −0.645327 | + | 0.607682i | ||||
\(262\) | −1286.50 | + | 742.762i | −0.303360 | + | 0.175145i | ||||
\(263\) | 784.155 | − | 452.732i | 0.183852 | − | 0.106147i | −0.405249 | − | 0.914206i | \(-0.632815\pi\) |
0.589101 | + | 0.808059i | \(0.299482\pi\) | |||||||
\(264\) | −549.130 | − | 4717.45i | −0.128018 | − | 1.09977i | ||||
\(265\) | − | 873.402i | − | 0.202463i | ||||||
\(266\) | −378.024 | + | 1959.10i | −0.0871360 | + | 0.451581i | ||||
\(267\) | 1410.84 | − | 1049.30i | 0.323378 | − | 0.240509i | ||||
\(268\) | −689.036 | + | 1193.44i | −0.157051 | + | 0.272020i | ||||
\(269\) | −2849.99 | − | 4936.32i | −0.645973 | − | 1.11886i | −0.984076 | − | 0.177749i | \(-0.943118\pi\) |
0.338103 | − | 0.941109i | \(-0.390215\pi\) | |||||||
\(270\) | 505.498 | + | 425.386i | 0.113939 | + | 0.0958822i | ||||
\(271\) | −6732.45 | − | 3886.98i | −1.50910 | − | 0.871282i | −0.999944 | − | 0.0106106i | \(-0.996622\pi\) |
−0.509161 | − | 0.860671i | \(-0.670044\pi\) | |||||||
\(272\) | 2224.27 | 0.495832 | ||||||||
\(273\) | 5845.67 | − | 2815.61i | 1.29596 | − | 0.624207i | ||||
\(274\) | 2151.23 | 0.474309 | ||||||||
\(275\) | 1390.28 | + | 802.677i | 0.304861 | + | 0.176012i | ||||
\(276\) | 1252.69 | − | 2900.29i | 0.273200 | − | 0.632526i | ||||
\(277\) | 934.939 | + | 1619.36i | 0.202798 | + | 0.351256i | 0.949429 | − | 0.313982i | \(-0.101663\pi\) |
−0.746631 | + | 0.665239i | \(0.768330\pi\) | |||||||
\(278\) | 486.291 | − | 842.281i | 0.104913 | − | 0.181715i | ||||
\(279\) | −715.407 | − | 214.916i | −0.153514 | − | 0.0461171i | ||||
\(280\) | 430.826 | + | 1245.66i | 0.0919528 | + | 0.265866i | ||||
\(281\) | 7378.91i | 1.56651i | 0.621702 | + | 0.783254i | \(0.286441\pi\) | ||||
−0.621702 | + | 0.783254i | \(0.713559\pi\) | |||||||
\(282\) | 840.385 | − | 97.8243i | 0.177462 | − | 0.0206573i | ||||
\(283\) | 2481.15 | − | 1432.49i | 0.521162 | − | 0.300893i | −0.216248 | − | 0.976338i | \(-0.569382\pi\) |
0.737410 | + | 0.675445i | \(0.236049\pi\) | |||||||
\(284\) | 140.143 | − | 80.9115i | 0.0292815 | − | 0.0169057i | ||||
\(285\) | 2951.96 | − | 343.620i | 0.613541 | − | 0.0714186i | ||||
\(286\) | − | 4077.63i | − | 0.843060i | ||||||
\(287\) | 1018.90 | + | 883.269i | 0.209561 | + | 0.181664i | ||||
\(288\) | −4003.83 | − | 1202.80i | −0.819195 | − | 0.246095i | ||||
\(289\) | 1149.12 | − | 1990.33i | 0.233894 | − | 0.405116i | ||||
\(290\) | −325.941 | − | 564.547i | −0.0659998 | − | 0.114315i | ||||
\(291\) | 110.631 | − | 256.138i | 0.0222863 | − | 0.0515983i | ||||
\(292\) | −2519.68 | − | 1454.74i | −0.504977 | − | 0.291548i | ||||
\(293\) | 406.520 | 0.0810551 | 0.0405276 | − | 0.999178i | \(-0.487096\pi\) | ||||
0.0405276 | + | 0.999178i | \(0.487096\pi\) | |||||||
\(294\) | 1191.14 | − | 1182.72i | 0.236289 | − | 0.234618i | ||||
\(295\) | 1591.86 | 0.314176 | ||||||||
\(296\) | −1562.85 | − | 902.310i | −0.306887 | − | 0.177181i | ||||
\(297\) | 6893.07 | + | 5800.65i | 1.34672 | + | 1.13329i | ||||
\(298\) | 1188.78 | + | 2059.03i | 0.231088 | + | 0.400256i | ||||
\(299\) | 2881.59 | − | 4991.06i | 0.557347 | − | 0.965353i | ||||
\(300\) | 741.425 | − | 551.426i | 0.142687 | − | 0.106122i | ||||
\(301\) | −7702.98 | − | 6677.58i | −1.47506 | − | 1.27870i | ||||
\(302\) | − | 2941.35i | − | 0.560448i | ||||||
\(303\) | −1021.58 | − | 8776.19i | −0.193691 | − | 1.66396i | ||||
\(304\) | −4309.07 | + | 2487.84i | −0.812968 | + | 0.469367i | ||||
\(305\) | −21.8246 | + | 12.6004i | −0.00409729 | + | 0.00236557i | ||||
\(306\) | 946.655 | − | 891.433i | 0.176852 | − | 0.166535i | ||||
\(307\) | 5919.18i | 1.10041i | 0.835030 | + | 0.550204i | \(0.185450\pi\) | ||||
−0.835030 | + | 0.550204i | \(0.814550\pi\) | |||||||
\(308\) | 2765.01 | + | 7994.54i | 0.511529 | + | 1.47900i | ||||
\(309\) | 424.937 | + | 571.353i | 0.0782324 | + | 0.105188i | ||||
\(310\) | 65.1417 | − | 112.829i | 0.0119348 | − | 0.0206717i | ||||
\(311\) | −1072.74 | − | 1858.04i | −0.195593 | − | 0.338778i | 0.751501 | − | 0.659731i | \(-0.229330\pi\) |
−0.947095 | + | 0.320954i | \(0.895997\pi\) | |||||||
\(312\) | −4577.89 | − | 1977.28i | −0.830679 | − | 0.358786i | ||||
\(313\) | −5709.02 | − | 3296.10i | −1.03097 | − | 0.595229i | −0.113706 | − | 0.993514i | \(-0.536272\pi\) |
−0.917262 | + | 0.398285i | \(0.869605\pi\) | |||||||
\(314\) | −308.383 | −0.0554238 | ||||||||
\(315\) | −2214.86 | − | 1159.98i | −0.396169 | − | 0.207485i | ||||
\(316\) | 4435.43 | 0.789596 | ||||||||
\(317\) | 694.037 | + | 400.702i | 0.122968 | + | 0.0709958i | 0.560223 | − | 0.828342i | \(-0.310716\pi\) |
−0.437254 | + | 0.899338i | \(0.644049\pi\) | |||||||
\(318\) | 784.783 | + | 338.962i | 0.138391 | + | 0.0597738i | ||||
\(319\) | −4444.60 | − | 7698.27i | −0.780094 | − | 1.35116i | ||||
\(320\) | −505.394 | + | 875.368i | −0.0882887 | + | 0.152921i | ||||
\(321\) | 4230.24 | + | 5687.82i | 0.735543 | + | 0.988981i | ||||
\(322\) | 282.482 | − | 1463.96i | 0.0488886 | − | 0.253364i | ||||
\(323\) | − | 5849.21i | − | 1.00761i | ||||||
\(324\) | 4638.20 | − | 2318.42i | 0.795302 | − | 0.397534i | ||||
\(325\) | 1459.76 | − | 842.791i | 0.249147 | − | 0.143845i | ||||
\(326\) | 2038.14 | − | 1176.72i | 0.346264 | − | 0.199916i | ||||
\(327\) | −919.988 | − | 7903.40i | −0.155582 | − | 1.33657i | ||||
\(328\) | − | 1036.35i | − | 0.174460i | ||||||
\(329\) | −3025.96 | + | 1046.57i | −0.507072 | + | 0.175377i | ||||
\(330\) | −1260.79 | + | 937.699i | −0.210316 | + | 0.156420i | ||||
\(331\) | 303.803 | − | 526.202i | 0.0504487 | − | 0.0873797i | −0.839698 | − | 0.543053i | \(-0.817268\pi\) |
0.890147 | + | 0.455673i | \(0.150602\pi\) | |||||||
\(332\) | −4052.06 | − | 7018.38i | −0.669837 | − | 1.16019i | ||||
\(333\) | 3331.67 | − | 786.294i | 0.548271 | − | 0.129395i | ||||
\(334\) | 1872.29 | + | 1080.97i | 0.306729 | + | 0.177090i | ||||
\(335\) | 968.702 | 0.157988 | ||||||||
\(336\) | 4174.33 | + | 312.540i | 0.677763 | + | 0.0507455i | ||||
\(337\) | 5122.34 | 0.827987 | 0.413994 | − | 0.910280i | \(-0.364134\pi\) | ||||
0.413994 | + | 0.910280i | \(0.364134\pi\) | |||||||
\(338\) | −1915.85 | − | 1106.12i | −0.308309 | − | 0.178003i | ||||
\(339\) | −2624.27 | + | 6075.85i | −0.420445 | + | 0.973436i | ||||
\(340\) | −909.300 | − | 1574.95i | −0.145040 | − | 0.251217i | ||||
\(341\) | 888.285 | − | 1538.55i | 0.141065 | − | 0.244333i | ||||
\(342\) | −836.885 | + | 2785.80i | −0.132320 | + | 0.440465i | ||||
\(343\) | −3437.85 | + | 5341.80i | −0.541185 | + | 0.840904i | ||||
\(344\) | 7834.88i | 1.22799i | ||||||||
\(345\) | −2205.88 | + | 256.773i | −0.344233 | + | 0.0400702i | ||||
\(346\) | −1223.35 | + | 706.299i | −0.190079 | + | 0.109742i | ||||
\(347\) | 667.351 | − | 385.295i | 0.103243 | − | 0.0596073i | −0.447490 | − | 0.894289i | \(-0.647682\pi\) |
0.550732 | + | 0.834682i | \(0.314348\pi\) | |||||||
\(348\) | −5082.10 | + | 591.577i | −0.782842 | + | 0.0911260i | ||||
\(349\) | 11389.5i | 1.74689i | 0.486924 | + | 0.873444i | \(0.338119\pi\) | ||||
−0.486924 | + | 0.873444i | \(0.661881\pi\) | |||||||
\(350\) | 285.635 | − | 329.497i | 0.0436224 | − | 0.0503210i | ||||
\(351\) | 8893.34 | − | 3222.64i | 1.35240 | − | 0.490061i | ||||
\(352\) | 4971.36 | − | 8610.65i | 0.752768 | − | 1.30383i | ||||
\(353\) | −2644.22 | − | 4579.92i | −0.398690 | − | 0.690551i | 0.594875 | − | 0.803818i | \(-0.297202\pi\) |
−0.993565 | + | 0.113267i | \(0.963868\pi\) | |||||||
\(354\) | −617.794 | + | 1430.35i | −0.0927553 | + | 0.214752i | ||||
\(355\) | −98.5121 | − | 56.8760i | −0.0147281 | − | 0.00850328i | ||||
\(356\) | 2406.87 | 0.358326 | ||||||||
\(357\) | −2771.77 | + | 4066.03i | −0.410918 | + | 0.602793i | ||||
\(358\) | 467.480 | 0.0690143 | ||||||||
\(359\) | 9789.76 | + | 5652.12i | 1.43923 | + | 0.830940i | 0.997796 | − | 0.0663531i | \(-0.0211364\pi\) |
0.441435 | + | 0.897293i | \(0.354470\pi\) | |||||||
\(360\) | 441.371 | + | 1870.17i | 0.0646176 | + | 0.273796i | ||||
\(361\) | 3112.83 | + | 5391.59i | 0.453832 | + | 0.786060i | ||||
\(362\) | −705.035 | + | 1221.16i | −0.102364 | + | 0.177300i | ||||
\(363\) | −11642.9 | + | 8659.28i | −1.68346 | + | 1.25205i | ||||
\(364\) | 8721.08 | + | 1682.80i | 1.25579 | + | 0.242315i | ||||
\(365\) | 2045.19i | 0.293288i | ||||||||
\(366\) | −2.85194 | − | 24.5004i | −0.000407304 | − | 0.00349905i | ||||
\(367\) | −5782.25 | + | 3338.38i | −0.822427 | + | 0.474829i | −0.851253 | − | 0.524756i | \(-0.824157\pi\) |
0.0288255 | + | 0.999584i | \(0.490823\pi\) | |||||||
\(368\) | 3219.99 | − | 1859.06i | 0.456124 | − | 0.263343i | ||||
\(369\) | 1347.70 | + | 1431.19i | 0.190132 | + | 0.201910i | ||||
\(370\) | 597.043i | 0.0838886i | ||||||||
\(371\) | −3176.53 | − | 612.936i | −0.444521 | − | 0.0857738i | ||||
\(372\) | −610.237 | − | 820.500i | −0.0850520 | − | 0.114357i | ||||
\(373\) | −2738.19 | + | 4742.68i | −0.380102 | + | 0.658355i | −0.991076 | − | 0.133295i | \(-0.957444\pi\) |
0.610975 | + | 0.791650i | \(0.290778\pi\) | |||||||
\(374\) | 1546.26 | + | 2678.21i | 0.213785 | + | 0.370286i | ||||
\(375\) | −596.277 | − | 257.543i | −0.0821110 | − | 0.0354653i | ||||
\(376\) | 2131.08 | + | 1230.38i | 0.292293 | + | 0.168755i | ||||
\(377\) | −9333.44 | −1.27506 | ||||||||
\(378\) | 1901.86 | − | 1539.95i | 0.258786 | − | 0.209541i | ||||
\(379\) | −3103.70 | −0.420650 | −0.210325 | − | 0.977631i | \(-0.567452\pi\) | ||||
−0.210325 | + | 0.977631i | \(0.567452\pi\) | |||||||
\(380\) | 3523.17 | + | 2034.10i | 0.475618 | + | 0.274598i | ||||
\(381\) | 428.596 | + | 185.119i | 0.0576316 | + | 0.0248921i | ||||
\(382\) | 317.983 | + | 550.763i | 0.0425901 | + | 0.0737683i | ||||
\(383\) | −6855.49 | + | 11874.1i | −0.914620 | + | 1.58417i | −0.107163 | + | 0.994242i | \(0.534177\pi\) |
−0.807457 | + | 0.589926i | \(0.799157\pi\) | |||||||
\(384\) | −4431.55 | − | 5958.49i | −0.588924 | − | 0.791843i | ||||
\(385\) | 3894.97 | − | 4493.08i | 0.515601 | − | 0.594776i | ||||
\(386\) | − | 10.4077i | − | 0.00137238i | ||||||
\(387\) | −10188.7 | − | 10819.9i | −1.33830 | − | 1.42121i | ||||
\(388\) | 330.764 | − | 190.967i | 0.0432784 | − | 0.0249868i | ||||
\(389\) | −3667.32 | + | 2117.33i | −0.477996 | + | 0.275971i | −0.719581 | − | 0.694408i | \(-0.755666\pi\) |
0.241585 | + | 0.970380i | \(0.422333\pi\) | |||||||
\(390\) | 190.754 | + | 1638.73i | 0.0247672 | + | 0.212770i | ||||
\(391\) | 4370.87i | 0.565331i | ||||||||
\(392\) | 4832.76 | − | 692.720i | 0.622682 | − | 0.0892542i | ||||
\(393\) | 6576.40 | − | 4891.11i | 0.844110 | − | 0.627797i | ||||
\(394\) | −1431.80 | + | 2479.95i | −0.183079 | + | 0.317101i | ||||
\(395\) | −1558.92 | − | 2700.13i | −0.198577 | − | 0.343945i | ||||
\(396\) | 2832.69 | + | 12002.6i | 0.359465 | + | 1.52312i | ||||
\(397\) | −454.421 | − | 262.360i | −0.0574477 | − | 0.0331674i | 0.471001 | − | 0.882133i | \(-0.343893\pi\) |
−0.528449 | + | 0.848965i | \(0.677226\pi\) | |||||||
\(398\) | 1457.27 | 0.183534 | ||||||||
\(399\) | 821.894 | − | 10977.3i | 0.103123 | − | 1.37733i | ||||
\(400\) | 1087.46 | 0.135932 | ||||||||
\(401\) | −2060.38 | − | 1189.56i | −0.256584 | − | 0.148139i | 0.366191 | − | 0.930540i | \(-0.380662\pi\) |
−0.622776 | + | 0.782401i | \(0.713995\pi\) | |||||||
\(402\) | −375.948 | + | 870.414i | −0.0466432 | + | 0.107991i | ||||
\(403\) | −932.677 | − | 1615.44i | −0.115285 | − | 0.199680i | ||||
\(404\) | 6047.39 | − | 10474.4i | 0.744725 | − | 1.28990i | ||||
\(405\) | −3041.56 | − | 2008.72i | −0.373176 | − | 0.246454i | ||||
\(406\) | −2281.98 | + | 789.249i | −0.278947 | + | 0.0964773i | ||||
\(407\) | 8141.39i | 0.991533i | ||||||||
\(408\) | 3756.58 | − | 437.281i | 0.455829 | − | 0.0530604i | ||||
\(409\) | 5215.51 | − | 3011.18i | 0.630539 | − | 0.364042i | −0.150422 | − | 0.988622i | \(-0.548063\pi\) |
0.780961 | + | 0.624580i | \(0.214730\pi\) | |||||||
\(410\) | −296.932 | + | 171.434i | −0.0357669 | + | 0.0206500i | ||||
\(411\) | −11789.1 | + | 1372.29i | −1.41487 | + | 0.164697i | ||||
\(412\) | 974.721i | 0.116556i | ||||||||
\(413\) | 1117.14 | − | 5789.55i | 0.133101 | − | 0.689794i | ||||
\(414\) | 625.370 | − | 2081.71i | 0.0742397 | − | 0.247127i | ||||
\(415\) | −2848.36 | + | 4933.50i | −0.336917 | + | 0.583557i | ||||
\(416\) | −5219.81 | − | 9040.97i | −0.615197 | − | 1.06555i | ||||
\(417\) | −2127.64 | + | 4926.03i | −0.249859 | + | 0.578486i | ||||
\(418\) | −5991.15 | − | 3458.99i | −0.701044 | − | 0.404748i | ||||
\(419\) | 5466.61 | 0.637378 | 0.318689 | − | 0.947859i | \(-0.396758\pi\) | ||||
0.318689 | + | 0.947859i | \(0.396758\pi\) | |||||||
\(420\) | −1485.20 | − | 3083.52i | −0.172548 | − | 0.358238i | ||||
\(421\) | −2195.04 | −0.254108 | −0.127054 | − | 0.991896i | \(-0.540552\pi\) | ||||
−0.127054 | + | 0.991896i | \(0.540552\pi\) | |||||||
\(422\) | −1926.42 | − | 1112.22i | −0.222220 | − | 0.128299i | ||||
\(423\) | −4543.03 | + | 1072.18i | −0.522198 | + | 0.123242i | ||||
\(424\) | 1243.17 | + | 2153.24i | 0.142391 | + | 0.246629i | ||||
\(425\) | −639.184 | + | 1107.10i | −0.0729529 | + | 0.126358i | ||||
\(426\) | 89.3371 | − | 66.4434i | 0.0101606 | − | 0.00755679i | ||||
\(427\) | 30.5113 | + | 88.2180i | 0.00345795 | + | 0.00999805i | ||||
\(428\) | 9703.34i | 1.09586i | ||||||||
\(429\) | 2601.16 | + | 22346.0i | 0.292740 | + | 2.51486i | ||||
\(430\) | 2244.83 | − | 1296.05i | 0.251756 | − | 0.145352i | ||||
\(431\) | 11549.8 | − | 6668.30i | 1.29080 | − | 0.745245i | 0.312005 | − | 0.950080i | \(-0.398999\pi\) |
0.978796 | + | 0.204836i | \(0.0656659\pi\) | |||||||
\(432\) | 6008.42 | + | 1068.23i | 0.669167 | + | 0.118971i | ||||
\(433\) | − | 441.648i | − | 0.0490167i | −0.999700 | − | 0.0245083i | \(-0.992198\pi\) | ||
0.999700 | − | 0.0245083i | \(-0.00780203\pi\) | |||||||
\(434\) | −364.639 | − | 316.099i | −0.0403300 | − | 0.0349614i | ||||
\(435\) | 2146.34 | + | 2885.88i | 0.236572 | + | 0.318086i | ||||
\(436\) | 5445.98 | − | 9432.71i | 0.598200 | − | 1.03611i | ||||
\(437\) | −4888.82 | − | 8467.68i | −0.535157 | − | 0.926920i | ||||
\(438\) | −1837.68 | − | 793.727i | −0.200474 | − | 0.0865884i | ||||
\(439\) | 6589.32 | + | 3804.34i | 0.716380 | + | 0.413602i | 0.813419 | − | 0.581678i | \(-0.197604\pi\) |
−0.0970386 | + | 0.995281i | \(0.530937\pi\) | |||||||
\(440\) | −4570.02 | −0.495153 | ||||||||
\(441\) | −5773.16 | + | 7241.32i | −0.623385 | + | 0.781915i | ||||
\(442\) | 3247.08 | 0.349430 | ||||||||
\(443\) | −4935.59 | − | 2849.57i | −0.529339 | − | 0.305614i | 0.211408 | − | 0.977398i | \(-0.432195\pi\) |
−0.740747 | + | 0.671784i | \(0.765528\pi\) | |||||||
\(444\) | 4301.87 | + | 1858.06i | 0.459815 | + | 0.198603i | ||||
\(445\) | −845.945 | − | 1465.22i | −0.0901160 | − | 0.156086i | ||||
\(446\) | −384.329 | + | 665.677i | −0.0408038 | + | 0.0706742i | ||||
\(447\) | −7828.15 | − | 10525.4i | −0.828320 | − | 1.11373i | ||||
\(448\) | 2829.01 | + | 2452.42i | 0.298344 | + | 0.258629i | ||||
\(449\) | − | 5060.48i | − | 0.531890i | −0.963988 | − | 0.265945i | \(-0.914316\pi\) | ||
0.963988 | − | 0.265945i | \(-0.0856840\pi\) | |||||||
\(450\) | 462.824 | − | 435.825i | 0.0484838 | − | 0.0456556i | ||||
\(451\) | −4049.02 | + | 2337.70i | −0.422752 | + | 0.244076i | ||||
\(452\) | −7846.05 | + | 4529.92i | −0.816476 | + | 0.471393i | ||||
\(453\) | 1876.32 | + | 16119.0i | 0.194607 | + | 1.67182i | ||||
\(454\) | 2112.52i | 0.218382i | ||||||||
\(455\) | −2040.77 | − | 5900.54i | −0.210270 | − | 0.607959i | ||||
\(456\) | −6788.51 | + | 5048.87i | −0.697152 | + | 0.518498i | ||||
\(457\) | 1981.78 | − | 3432.54i | 0.202853 | − | 0.351351i | −0.746594 | − | 0.665280i | \(-0.768312\pi\) |
0.949446 | + | 0.313929i | \(0.101645\pi\) | |||||||
\(458\) | 1840.01 | + | 3186.99i | 0.187725 | + | 0.325149i | ||||
\(459\) | −4619.15 | + | 5489.06i | −0.469724 | + | 0.558186i | ||||
\(460\) | −2632.72 | − | 1520.00i | −0.266850 | − | 0.154066i | ||||
\(461\) | 10353.9 | 1.04605 | 0.523023 | − | 0.852318i | \(-0.324804\pi\) | ||||
0.523023 | + | 0.852318i | \(0.324804\pi\) | |||||||
\(462\) | 2525.58 | + | 5243.52i | 0.254330 | + | 0.528031i | ||||
\(463\) | 5393.81 | 0.541408 | 0.270704 | − | 0.962663i | \(-0.412744\pi\) | ||||
0.270704 | + | 0.962663i | \(0.412744\pi\) | |||||||
\(464\) | −5214.76 | − | 3010.75i | −0.521744 | − | 0.301229i | ||||
\(465\) | −285.011 | + | 659.872i | −0.0284238 | + | 0.0658083i | ||||
\(466\) | −692.323 | − | 1199.14i | −0.0688224 | − | 0.119204i | ||||
\(467\) | 4504.90 | − | 7802.72i | 0.446386 | − | 0.773163i | −0.551762 | − | 0.834002i | \(-0.686044\pi\) |
0.998148 | + | 0.0608390i | \(0.0193776\pi\) | |||||||
\(468\) | 12401.2 | + | 3725.45i | 1.22488 | + | 0.367967i | ||||
\(469\) | 679.816 | − | 3523.13i | 0.0669318 | − | 0.346873i | ||||
\(470\) | − | 814.121i | − | 0.0798992i | ||||||
\(471\) | 1689.98 | − | 196.721i | 0.165330 | − | 0.0192451i | ||||
\(472\) | −3924.50 | + | 2265.81i | −0.382711 | + | 0.220958i | ||||
\(473\) | 30610.9 | − | 17673.2i | 2.97567 | − | 1.71800i | ||||
\(474\) | 3031.17 | − | 352.841i | 0.293727 | − | 0.0341910i | ||||
\(475\) | − | 2859.71i | − | 0.276236i | ||||||
\(476\) | −6366.18 | + | 2201.82i | −0.613011 | + | 0.212017i | ||||
\(477\) | −4516.95 | − | 1356.94i | −0.433579 | − | 0.130252i | ||||
\(478\) | −1628.49 | + | 2820.62i | −0.155827 | + | 0.269900i | ||||
\(479\) | 7880.86 | + | 13650.0i | 0.751744 | + | 1.30206i | 0.946977 | + | 0.321302i | \(0.104121\pi\) |
−0.195233 | + | 0.980757i | \(0.562546\pi\) | |||||||
\(480\) | −1595.09 | + | 3693.03i | −0.151678 | + | 0.351173i | ||||
\(481\) | 7403.01 | + | 4274.13i | 0.701764 | + | 0.405164i | ||||
\(482\) | 2527.14 | 0.238813 | ||||||||
\(483\) | −614.167 | + | 8202.90i | −0.0578583 | + | 0.772764i | ||||
\(484\) | −19862.7 | −1.86539 | ||||||||
\(485\) | −232.508 | − | 134.238i | −0.0217683 | − | 0.0125679i | ||||
\(486\) | 2985.32 | − | 1953.38i | 0.278635 | − | 0.182319i | ||||
\(487\) | −8760.27 | − | 15173.2i | −0.815124 | − | 1.41184i | −0.909239 | − | 0.416275i | \(-0.863335\pi\) |
0.0941142 | − | 0.995561i | \(-0.469998\pi\) | |||||||
\(488\) | 35.8701 | − | 62.1289i | 0.00332739 | − | 0.00576320i | ||||
\(489\) | −10418.7 | + | 7748.76i | −0.963493 | + | 0.716587i | ||||
\(490\) | −997.915 | − | 1270.08i | −0.0920025 | − | 0.117094i | ||||
\(491\) | 9526.52i | 0.875613i | 0.899069 | + | 0.437806i | \(0.144244\pi\) | ||||
−0.899069 | + | 0.437806i | \(0.855756\pi\) | |||||||
\(492\) | 311.148 | + | 2673.00i | 0.0285115 | + | 0.244936i | ||||
\(493\) | 6130.26 | − | 3539.31i | 0.560026 | − | 0.323331i | ||||
\(494\) | −6290.56 | + | 3631.86i | −0.572926 | + | 0.330779i | ||||
\(495\) | 6311.16 | − | 5943.00i | 0.573061 | − | 0.539632i | ||||
\(496\) | − | 1203.44i | − | 0.108943i | ||||||
\(497\) | −275.990 | + | 318.370i | −0.0249091 | + | 0.0287341i | ||||
\(498\) | −3327.50 | − | 4474.02i | −0.299415 | − | 0.402582i | ||||
\(499\) | −6056.94 | + | 10490.9i | −0.543378 | + | 0.941159i | 0.455329 | + | 0.890323i | \(0.349522\pi\) |
−0.998707 | + | 0.0508355i | \(0.983812\pi\) | |||||||
\(500\) | −444.561 | − | 770.002i | −0.0397628 | − | 0.0688711i | ||||
\(501\) | −10950.0 | − | 4729.51i | −0.976467 | − | 0.421754i | ||||
\(502\) | −4456.82 | − | 2573.15i | −0.396250 | − | 0.228775i | ||||
\(503\) | 5692.52 | 0.504606 | 0.252303 | − | 0.967648i | \(-0.418812\pi\) | ||||
0.252303 | + | 0.967648i | \(0.418812\pi\) | |||||||
\(504\) | 7111.49 | − | 292.803i | 0.628514 | − | 0.0258780i | ||||
\(505\) | −8501.91 | −0.749168 | ||||||||
\(506\) | 4476.94 | + | 2584.76i | 0.393328 | + | 0.227088i | ||||
\(507\) | 11204.7 | + | 4839.54i | 0.981500 | + | 0.423928i | ||||
\(508\) | 319.544 | + | 553.467i | 0.0279084 | + | 0.0483388i | ||||
\(509\) | 8589.94 | − | 14878.2i | 0.748020 | − | 1.29561i | −0.200750 | − | 0.979642i | \(-0.564338\pi\) |
0.948770 | − | 0.315967i | \(-0.102329\pi\) | |||||||
\(510\) | −746.705 | − | 1003.99i | −0.0648326 | − | 0.0871714i | ||||
\(511\) | 7438.28 | + | 1435.27i | 0.643934 | + | 0.124252i | ||||
\(512\) | − | 11688.3i | − | 1.00889i | ||||||
\(513\) | 2809.16 | − | 15800.4i | 0.241769 | − | 1.35986i | ||||
\(514\) | −3338.08 | + | 1927.24i | −0.286452 | + | 0.165383i | ||||
\(515\) | 593.376 | − | 342.586i | 0.0507714 | − | 0.0293129i | ||||
\(516\) | −2352.31 | − | 20208.1i | −0.200687 | − | 1.72405i | ||||
\(517\) | − | 11101.5i | − | 0.944379i | ||||||
\(518\) | 2171.42 | + | 418.993i | 0.184183 | + | 0.0355396i | ||||
\(519\) | 6253.55 | − | 4651.00i | 0.528903 | − | 0.393365i | ||||
\(520\) | −2399.20 | + | 4155.54i | −0.202331 | + | 0.350447i | ||||
\(521\) | −2930.98 | − | 5076.61i | −0.246466 | − | 0.426891i | 0.716077 | − | 0.698021i | \(-0.245936\pi\) |
−0.962543 | + | 0.271130i | \(0.912603\pi\) | |||||||
\(522\) | −3426.05 | + | 808.568i | −0.287268 | + | 0.0677970i | ||||
\(523\) | 2030.28 | + | 1172.18i | 0.169748 | + | 0.0980038i | 0.582467 | − | 0.812854i | \(-0.302088\pi\) |
−0.412719 | + | 0.910858i | \(0.635421\pi\) | |||||||
\(524\) | 11219.2 | 0.935334 | ||||||||
\(525\) | −1355.13 | + | 1987.90i | −0.112653 | + | 0.165255i | ||||
\(526\) | 852.783 | 0.0706903 | ||||||||
\(527\) | 1225.18 | + | 707.355i | 0.101270 | + | 0.0584685i | ||||
\(528\) | −5754.96 | + | 13324.2i | −0.474342 | + | 1.09822i | ||||
\(529\) | −2430.29 | − | 4209.38i | −0.199744 | − | 0.345967i | ||||
\(530\) | 411.293 | − | 712.381i | 0.0337084 | − | 0.0583846i | ||||
\(531\) | 2473.16 | − | 8232.60i | 0.202121 | − | 0.672815i | ||||
\(532\) | 9870.45 | − | 11386.1i | 0.804395 | − | 0.927917i | ||||
\(533\) | 4909.06i | 0.398940i | ||||||||
\(534\) | 1644.86 | − | 191.468i | 0.133296 | − | 0.0155162i | ||||
\(535\) | 5907.05 | − | 3410.44i | 0.477353 | − | 0.275600i | ||||
\(536\) | −2388.19 | + | 1378.82i | −0.192451 | + | 0.111112i | ||||
\(537\) | −2561.86 | + | 298.211i | −0.205870 | + | 0.0239642i | ||||
\(538\) | − | 5368.34i | − | 0.430197i | ||||||
\(539\) | −13607.8 | − | 17319.0i | −1.08744 | − | 1.38401i | ||||
\(540\) | −1699.90 | − | 4691.12i | −0.135467 | − | 0.373840i | ||||
\(541\) | −2865.18 | + | 4962.64i | −0.227697 | + | 0.394382i | −0.957125 | − | 0.289675i | \(-0.906453\pi\) |
0.729428 | + | 0.684057i | \(0.239786\pi\) | |||||||
\(542\) | −3660.83 | − | 6340.75i | −0.290122 | − | 0.502507i | ||||
\(543\) | 3084.71 | − | 7141.87i | 0.243789 | − | 0.564432i | ||||
\(544\) | 6856.80 | + | 3958.77i | 0.540409 | + | 0.312006i | ||||
\(545\) | −7656.40 | −0.601769 | ||||||||
\(546\) | 6093.86 | + | 456.259i | 0.477643 | + | 0.0357621i | ||||
\(547\) | 13477.8 | 1.05351 | 0.526754 | − | 0.850018i | \(-0.323409\pi\) | ||||
0.526754 | + | 0.850018i | \(0.323409\pi\) | |||||||
\(548\) | −14070.3 | − | 8123.47i | −1.09681 | − | 0.633243i | ||||
\(549\) | 31.2581 | + | 132.446i | 0.00242999 | + | 0.0102963i | ||||
\(550\) | 755.976 | + | 1309.39i | 0.0586090 | + | 0.101514i | ||||
\(551\) | −7917.42 | + | 13713.4i | −0.612147 | + | 1.06027i | ||||
\(552\) | 5072.77 | − | 3772.81i | 0.391144 | − | 0.290909i | ||||
\(553\) | −10914.3 | + | 3774.84i | −0.839282 | + | 0.290276i | ||||
\(554\) | 1761.09i | 0.135057i | ||||||||
\(555\) | −380.860 | − | 3271.88i | −0.0291290 | − | 0.250241i | ||||
\(556\) | −6361.23 | + | 3672.66i | −0.485209 | + | 0.280135i | ||||
\(557\) | −10379.2 | + | 5992.46i | −0.789556 | + | 0.455851i | −0.839806 | − | 0.542886i | \(-0.817332\pi\) |
0.0502500 | + | 0.998737i | \(0.483998\pi\) | |||||||
\(558\) | −482.308 | − | 512.186i | −0.0365909 | − | 0.0388576i | ||||
\(559\) | − | 37112.9i | − | 2.80806i | ||||||
\(560\) | 763.156 | − | 3955.04i | 0.0575879 | − | 0.298448i | ||||
\(561\) | −10182.2 | − | 13690.6i | −0.766298 | − | 1.03033i | ||||
\(562\) | −3474.80 | + | 6018.52i | −0.260810 | + | 0.451737i | ||||
\(563\) | 10791.9 | + | 18692.1i | 0.807856 | + | 1.39925i | 0.914346 | + | 0.404933i | \(0.132705\pi\) |
−0.106490 | + | 0.994314i | \(0.533961\pi\) | |||||||
\(564\) | −5865.99 | − | 2533.63i | −0.437948 | − | 0.189158i | ||||
\(565\) | 5515.31 | + | 3184.26i | 0.410674 | + | 0.237103i | ||||
\(566\) | 2698.29 | 0.200385 | ||||||||
\(567\) | −9440.13 | + | 9652.37i | −0.699203 | + | 0.714923i | ||||
\(568\) | 323.822 | 0.0239212 | ||||||||
\(569\) | 21311.4 | + | 12304.1i | 1.57016 | + | 0.906531i | 0.996149 | + | 0.0876816i | \(0.0279458\pi\) |
0.574009 | + | 0.818849i | \(0.305388\pi\) | |||||||
\(570\) | 2569.55 | + | 1109.84i | 0.188819 | + | 0.0815543i | ||||
\(571\) | 6101.58 | + | 10568.2i | 0.447186 | + | 0.774549i | 0.998202 | − | 0.0599461i | \(-0.0190929\pi\) |
−0.551016 | + | 0.834495i | \(0.685760\pi\) | |||||||
\(572\) | −15397.9 | + | 26670.0i | −1.12556 | + | 1.94952i | ||||
\(573\) | −2093.93 | − | 2815.41i | −0.152662 | − | 0.205263i | ||||
\(574\) | 415.117 | + | 1200.24i | 0.0301858 | + | 0.0872770i | ||||
\(575\) | 2136.94i | 0.154985i | ||||||||
\(576\) | 3741.93 | + | 3973.73i | 0.270683 | + | 0.287452i | ||||
\(577\) | 6216.23 | − | 3588.94i | 0.448501 | − | 0.258942i | −0.258696 | − | 0.965959i | \(-0.583293\pi\) |
0.707197 | + | 0.707017i | \(0.249959\pi\) | |||||||
\(578\) | 1874.53 | − | 1082.26i | 0.134897 | − | 0.0778827i | ||||
\(579\) | 6.63917 | + | 57.0356i | 0.000476536 | + | 0.00409381i | ||||
\(580\) | 4923.27i | 0.352461i | ||||||||
\(581\) | 15944.1 | + | 13821.6i | 1.13850 | + | 0.986949i | ||||
\(582\) | 210.853 | − | 156.819i | 0.0150174 | − | 0.0111690i | ||||
\(583\) | 5608.47 | − | 9714.16i | 0.398421 | − | 0.690085i | ||||
\(584\) | −2911.06 | − | 5042.10i | −0.206268 | − | 0.357267i | ||||
\(585\) | −2090.72 | − | 8858.77i | −0.147762 | − | 0.626094i | ||||
\(586\) | 331.574 | + | 191.434i | 0.0233740 | + | 0.0134950i | ||||
\(587\) | 12733.9 | 0.895374 | 0.447687 | − | 0.894190i | \(-0.352248\pi\) | ||||
0.447687 | + | 0.894190i | \(0.352248\pi\) | |||||||
\(588\) | −12256.9 | + | 3237.66i | −0.859637 | + | 0.227073i | ||||
\(589\) | −3164.70 | −0.221391 | ||||||||
\(590\) | 1298.39 | + | 749.624i | 0.0905995 | + | 0.0523077i | ||||
\(591\) | 6264.47 | − | 14503.8i | 0.436017 | − | 1.00949i | ||||
\(592\) | 2757.47 | + | 4776.07i | 0.191438 | + | 0.331580i | ||||
\(593\) | −2541.30 | + | 4401.67i | −0.175985 | + | 0.304814i | −0.940502 | − | 0.339789i | \(-0.889644\pi\) |
0.764517 | + | 0.644604i | \(0.222978\pi\) | |||||||
\(594\) | 2890.68 | + | 7977.25i | 0.199673 | + | 0.551028i | ||||
\(595\) | 3577.91 | + | 3101.63i | 0.246521 | + | 0.213705i | ||||
\(596\) | − | 17956.2i | − | 1.23409i | ||||||
\(597\) | −7986.06 | + | 929.610i | −0.547484 | + | 0.0637293i | ||||
\(598\) | 4700.67 | − | 2713.94i | 0.321446 | − | 0.185587i | ||||
\(599\) | −10592.3 | + | 6115.45i | −0.722518 | + | 0.417146i | −0.815679 | − | 0.578505i | \(-0.803636\pi\) |
0.0931609 | + | 0.995651i | \(0.470303\pi\) | |||||||
\(600\) | 1836.61 | − | 213.789i | 0.124965 | − | 0.0145465i | ||||
\(601\) | 9398.96i | 0.637923i | 0.947768 | + | 0.318961i | \(0.103334\pi\) | ||||
−0.947768 | + | 0.318961i | \(0.896666\pi\) | |||||||
\(602\) | −3138.32 | − | 9073.90i | −0.212472 | − | 0.614326i | ||||
\(603\) | 1505.00 | − | 5009.81i | 0.101639 | − | 0.338334i | ||||
\(604\) | −11107.1 | + | 19238.0i | −0.748246 | + | 1.29600i | ||||
\(605\) | 6981.13 | + | 12091.7i | 0.469130 | + | 0.812557i | ||||
\(606\) | 3299.55 | − | 7639.27i | 0.221180 | − | 0.512086i | ||||
\(607\) | 4198.27 | + | 2423.87i | 0.280729 | + | 0.162079i | 0.633753 | − | 0.773535i | \(-0.281513\pi\) |
−0.353024 | + | 0.935614i | \(0.614847\pi\) | |||||||
\(608\) | −17711.5 | −1.18141 | ||||||||
\(609\) | 12002.1 | − | 5780.90i | 0.798603 | − | 0.384653i | ||||
\(610\) | −23.7347 | −0.00157539 | ||||||||
\(611\) | −10094.7 | − | 5828.16i | −0.668391 | − | 0.385896i | ||||
\(612\) | −9557.87 | + | 2255.71i | −0.631297 | + | 0.148990i | ||||
\(613\) | 10558.8 | + | 18288.4i | 0.695705 | + | 1.20500i | 0.969942 | + | 0.243334i | \(0.0782413\pi\) |
−0.274237 | + | 0.961662i | \(0.588425\pi\) | |||||||
\(614\) | −2787.40 | + | 4827.91i | −0.183209 | + | 0.317327i | ||||
\(615\) | 1517.87 | − | 1128.90i | 0.0995226 | − | 0.0740188i | ||||
\(616\) | −3207.15 | + | 16621.0i | −0.209772 | + | 1.08714i | ||||
\(617\) | − | 5305.48i | − | 0.346176i | −0.984906 | − | 0.173088i | \(-0.944625\pi\) | ||
0.984906 | − | 0.173088i | \(-0.0553745\pi\) | |||||||
\(618\) | 77.5397 | + | 666.125i | 0.00504709 | + | 0.0433584i | ||||
\(619\) | −8395.17 | + | 4846.95i | −0.545122 | + | 0.314726i | −0.747152 | − | 0.664653i | \(-0.768579\pi\) |
0.202030 | + | 0.979379i | \(0.435246\pi\) | |||||||
\(620\) | −852.126 | + | 491.975i | −0.0551971 | + | 0.0318681i | ||||
\(621\) | −2099.17 | + | 11807.0i | −0.135647 | + | 0.762962i | ||||
\(622\) | − | 2020.66i | − | 0.130259i | ||||||
\(623\) | −5922.62 | + | 2048.41i | −0.380874 | + | 0.131730i | ||||
\(624\) | 9094.47 | + | 12228.1i | 0.583446 | + | 0.784478i | ||||
\(625\) | −312.500 | + | 541.266i | −0.0200000 | + | 0.0346410i | ||||
\(626\) | −3104.33 | − | 5376.86i | −0.198201 | − | 0.343295i | ||||
\(627\) | 35038.9 | + | 15133.9i | 2.23177 | + | 0.963942i | ||||
\(628\) | 2017.00 | + | 1164.51i | 0.128164 | + | 0.0739955i | ||||
\(629\) | −6483.12 | −0.410968 | ||||||||
\(630\) | −1260.28 | − | 1989.13i | −0.0796997 | − | 0.125792i | ||||
\(631\) | −17181.2 | −1.08395 | −0.541976 | − | 0.840394i | \(-0.682324\pi\) | ||||
−0.541976 | + | 0.840394i | \(0.682324\pi\) | |||||||
\(632\) | 7686.56 | + | 4437.84i | 0.483790 | + | 0.279316i | ||||
\(633\) | 11266.6 | + | 4866.24i | 0.707434 | + | 0.305554i | ||||
\(634\) | 377.389 | + | 653.657i | 0.0236404 | + | 0.0409464i | ||||
\(635\) | 224.621 | − | 389.054i | 0.0140375 | − | 0.0243136i | ||||
\(636\) | −3852.93 | − | 5180.49i | −0.240218 | − | 0.322987i | ||||
\(637\) | −22892.2 | + | 3281.33i | −1.42390 | + | 0.204099i | ||||
\(638\) | − | 8372.02i | − | 0.519516i | ||||||
\(639\) | −447.195 | + | 421.108i | −0.0276851 | + | 0.0260701i | ||||
\(640\) | −6188.15 | + | 3572.73i | −0.382200 | + | 0.220663i | ||||
\(641\) | −6061.60 | + | 3499.67i | −0.373508 | + | 0.215645i | −0.674990 | − | 0.737827i | \(-0.735852\pi\) |
0.301482 | + | 0.953472i | \(0.402519\pi\) | |||||||
\(642\) | 771.907 | + | 6631.27i | 0.0474528 | + | 0.407656i | ||||
\(643\) | 13572.0i | 0.832389i | 0.909276 | + | 0.416195i | \(0.136637\pi\) | ||||
−0.909276 | + | 0.416195i | \(0.863363\pi\) | |||||||
\(644\) | −7375.78 | + | 8508.39i | −0.451314 | + | 0.520618i | ||||
\(645\) | −11475.2 | + | 8534.55i | −0.700521 | + | 0.521004i | ||||
\(646\) | 2754.45 | − | 4770.84i | 0.167759 | − | 0.290567i | ||||
\(647\) | 7632.99 | + | 13220.7i | 0.463808 | + | 0.803339i | 0.999147 | − | 0.0412985i | \(-0.0131495\pi\) |
−0.535339 | + | 0.844637i | \(0.679816\pi\) | |||||||
\(648\) | 10357.6 | + | 622.918i | 0.627912 | + | 0.0377632i | ||||
\(649\) | 17705.0 | + | 10222.0i | 1.07085 | + | 0.618257i | ||||
\(650\) | 1587.51 | 0.0957960 | ||||||||
\(651\) | 2199.92 | + | 1499.66i | 0.132445 | + | 0.0902862i | ||||
\(652\) | −17774.1 | −1.06762 | ||||||||
\(653\) | −14714.4 | − | 8495.38i | −0.881808 | − | 0.509112i | −0.0105537 | − | 0.999944i | \(-0.503359\pi\) |
−0.871254 | + | 0.490832i | \(0.836693\pi\) | |||||||
\(654\) | 2971.41 | − | 6879.55i | 0.177662 | − | 0.411333i | ||||
\(655\) | −3943.23 | − | 6829.88i | −0.235229 | − | 0.407428i | ||||
\(656\) | −1583.55 | + | 2742.78i | −0.0942486 | + | 0.163243i | ||||
\(657\) | 10577.1 | + | 3177.46i | 0.628083 | + | 0.188683i | ||||
\(658\) | −2960.93 | − | 571.334i | −0.175424 | − | 0.0338494i | ||||
\(659\) | 18000.9i | 1.06406i | 0.846726 | + | 0.532029i | \(0.178570\pi\) | ||||
−0.846726 | + | 0.532029i | \(0.821430\pi\) | |||||||
\(660\) | 11787.2 | − | 1372.08i | 0.695177 | − | 0.0809214i | ||||
\(661\) | 7384.87 | − | 4263.66i | 0.434551 | − | 0.250888i | −0.266733 | − | 0.963771i | \(-0.585944\pi\) |
0.701284 | + | 0.712882i | \(0.252611\pi\) | |||||||
\(662\) | 495.587 | − | 286.127i | 0.0290960 | − | 0.0167986i | ||||
\(663\) | −17794.5 | + | 2071.35i | −1.04235 | + | 0.121334i | ||||
\(664\) | − | 16217.1i | − | 0.947808i | ||||||
\(665\) | −10400.6 | − | 2006.89i | −0.606496 | − | 0.117028i | ||||
\(666\) | 3087.71 | + | 927.582i | 0.179649 | + | 0.0539686i | ||||
\(667\) | 5916.36 | − | 10247.4i | 0.343452 | − | 0.594876i | ||||
\(668\) | −8163.89 | − | 14140.3i | −0.472860 | − | 0.819018i | ||||
\(669\) | 1681.53 | − | 3893.17i | 0.0971777 | − | 0.224991i | ||||
\(670\) | 790.111 | + | 456.171i | 0.0455592 | + | 0.0263036i | ||||
\(671\) | −323.650 | −0.0186205 | ||||||||
\(672\) | 12312.0 | + | 8392.98i | 0.706765 | + | 0.481795i | ||||
\(673\) | −19184.2 | −1.09881 | −0.549403 | − | 0.835558i | \(-0.685145\pi\) | ||||
−0.549403 | + | 0.835558i | \(0.685145\pi\) | |||||||
\(674\) | 4177.98 | + | 2412.16i | 0.238768 | + | 0.137853i | ||||
\(675\) | −2258.32 | + | 2683.63i | −0.128775 | + | 0.153026i | ||||
\(676\) | 8353.82 | + | 14469.2i | 0.475297 | + | 0.823239i | ||||
\(677\) | 11356.8 | − | 19670.5i | 0.644721 | − | 1.11669i | −0.339645 | − | 0.940554i | \(-0.610307\pi\) |
0.984366 | − | 0.176135i | \(-0.0563597\pi\) | |||||||
\(678\) | −5001.64 | + | 3719.91i | −0.283314 | + | 0.210711i | ||||
\(679\) | −651.389 | + | 751.416i | −0.0368159 | + | 0.0424694i | ||||
\(680\) | − | 3639.18i | − | 0.205230i | ||||||
\(681\) | −1347.60 | − | 11576.9i | −0.0758297 | − | 0.651435i | ||||
\(682\) | 1449.04 | − | 836.604i | 0.0813587 | − | 0.0469724i | ||||
\(683\) | −24470.4 | + | 14128.0i | −1.37091 | + | 0.791496i | −0.991043 | − | 0.133544i | \(-0.957364\pi\) |
−0.379869 | + | 0.925040i | \(0.624031\pi\) | |||||||
\(684\) | 15993.4 | − | 15060.4i | 0.894040 | − | 0.841887i | ||||
\(685\) | 11420.6i | 0.637022i | ||||||||
\(686\) | −5319.55 | + | 2738.06i | −0.296066 | + | 0.152390i | ||||
\(687\) | −12116.5 | − | 16291.4i | −0.672889 | − | 0.904739i | ||||
\(688\) | 11971.7 | − | 20735.6i | 0.663398 | − | 1.14904i | ||||
\(689\) | −5888.76 | − | 10199.6i | −0.325608 | − | 0.563970i | ||||
\(690\) | −1920.12 | − | 829.335i | −0.105939 | − | 0.0457569i | ||||
\(691\) | 14206.1 | + | 8201.90i | 0.782092 | + | 0.451541i | 0.837171 | − | 0.546941i | \(-0.184208\pi\) |
−0.0550789 | + | 0.998482i | \(0.517541\pi\) | |||||||
\(692\) | 10668.5 | 0.586062 | ||||||||
\(693\) | −17185.4 | − | 27124.1i | −0.942021 | − | 1.48681i | ||||
\(694\) | 725.757 | 0.0396965 | ||||||||
\(695\) | 4471.56 | + | 2581.66i | 0.244052 | + | 0.140903i | ||||
\(696\) | −9399.13 | − | 4059.66i | −0.511887 | − | 0.221093i | ||||
\(697\) | −1861.55 | − | 3224.30i | −0.101164 | − | 0.175221i | ||||
\(698\) | −5363.41 | + | 9289.69i | −0.290842 | + | 0.503754i | ||||
\(699\) | 4558.97 | + | 6129.81i | 0.246690 | + | 0.331689i | ||||
\(700\) | −3112.45 | + | 1076.48i | −0.168057 | + | 0.0581245i | ||||
\(701\) | − | 14814.6i | − | 0.798200i | −0.916907 | − | 0.399100i | \(-0.869323\pi\) | ||
0.916907 | − | 0.399100i | \(-0.130677\pi\) | |||||||
\(702\) | 8771.33 | + | 1559.45i | 0.471585 | + | 0.0838428i | ||||
\(703\) | 12559.7 | − | 7251.36i | 0.673825 | − | 0.389033i | ||||
\(704\) | −11242.2 | + | 6490.69i | −0.601856 | + | 0.347482i | ||||
\(705\) | 519.337 | + | 4461.50i | 0.0277438 | + | 0.238340i | ||||
\(706\) | − | 4980.75i | − | 0.265514i | ||||||
\(707\) | −5966.47 | + | 30921.1i | −0.317387 | + | 1.64485i | ||||
\(708\) | 9441.98 | − | 7022.36i | 0.501202 | − | 0.372763i | ||||
\(709\) | 17448.9 | − | 30222.4i | 0.924269 | − | 1.60088i | 0.131536 | − | 0.991311i | \(-0.458009\pi\) |
0.792733 | − | 0.609569i | \(-0.208658\pi\) | |||||||
\(710\) | −53.5669 | − | 92.7805i | −0.00283145 | − | 0.00490421i | ||||
\(711\) | −16386.2 | + | 3867.24i | −0.864318 | + | 0.203984i | ||||
\(712\) | 4171.10 | + | 2408.18i | 0.219548 | + | 0.126756i | ||||
\(713\) | 2364.85 | 0.124214 | ||||||||
\(714\) | −4175.50 | + | 2011.16i | −0.218857 | + | 0.105414i | ||||
\(715\) | 21647.6 | 1.13227 | ||||||||
\(716\) | −3057.58 | − | 1765.30i | −0.159591 | − | 0.0921399i | ||||
\(717\) | 7125.03 | − | 16496.2i | 0.371115 | − | 0.859224i | ||||
\(718\) | 5323.28 | + | 9220.18i | 0.276689 | + | 0.479240i | ||||
\(719\) | −3517.61 | + | 6092.68i | −0.182454 | + | 0.316020i | −0.942716 | − | 0.333597i | \(-0.891737\pi\) |
0.760261 | + | 0.649617i | \(0.225071\pi\) | |||||||
\(720\) | 1689.50 | − | 5623.97i | 0.0874501 | − | 0.291102i | ||||
\(721\) | −829.552 | − | 2398.50i | −0.0428490 | − | 0.123890i | ||||
\(722\) | 5863.45i | 0.302237i | ||||||||
\(723\) | −13849.1 | + | 1612.09i | −0.712382 | + | 0.0829242i | ||||
\(724\) | 9222.65 | − | 5324.70i | 0.473421 | − | 0.273330i | ||||
\(725\) | 2997.11 | − | 1730.38i | 0.153531 | − | 0.0886411i | ||||
\(726\) | −13574.2 | + | 1580.09i | −0.693917 | + | 0.0807748i | ||||
\(727\) | 21149.6i | 1.07895i | 0.842002 | + | 0.539475i | \(0.181377\pi\) | ||||
−0.842002 | + | 0.539475i | \(0.818623\pi\) | |||||||
\(728\) | 13429.8 | + | 11642.1i | 0.683713 | + | 0.592699i | ||||
\(729\) | −15113.9 | + | 12609.2i | −0.767865 | + | 0.640612i | ||||
\(730\) | −963.099 | + | 1668.14i | −0.0488300 | + | 0.0845760i | ||||
\(731\) | 14073.5 | + | 24375.9i | 0.712073 | + | 1.23335i | ||||
\(732\) | −73.8647 | + | 171.015i | −0.00372967 | + | 0.00863512i | ||||
\(733\) | −19880.5 | − | 11478.0i | −1.00178 | − | 0.578377i | −0.0930039 | − | 0.995666i | \(-0.529647\pi\) |
−0.908774 | + | 0.417289i | \(0.862980\pi\) | |||||||
\(734\) | −6288.30 | −0.316220 | ||||||||
\(735\) | 6278.91 | + | 6323.63i | 0.315104 | + | 0.317348i | ||||
\(736\) | 13235.1 | 0.662842 | ||||||||
\(737\) | 10774.1 | + | 6220.44i | 0.538493 | + | 0.310899i | ||||
\(738\) | 425.278 | + | 1801.98i | 0.0212123 | + | 0.0898805i | ||||
\(739\) | −13065.8 | − | 22630.7i | −0.650385 | − | 1.12650i | −0.983030 | − | 0.183447i | \(-0.941274\pi\) |
0.332645 | − | 0.943052i | \(-0.392059\pi\) | |||||||
\(740\) | 2254.55 | − | 3904.99i | 0.111998 | − | 0.193987i | ||||
\(741\) | 32156.4 | − | 23915.9i | 1.59419 | − | 1.18566i | ||||
\(742\) | −2302.27 | − | 1995.79i | −0.113907 | − | 0.0987438i | ||||
\(743\) | − | 24758.7i | − | 1.22249i | −0.791442 | − | 0.611244i | \(-0.790669\pi\) | ||
0.791442 | − | 0.611244i | \(-0.209331\pi\) | |||||||
\(744\) | −236.590 | − | 2032.49i | −0.0116584 | − | 0.100154i | ||||
\(745\) | −10931.1 | + | 6311.08i | −0.537564 | + | 0.310363i | ||||
\(746\) | −4466.74 | + | 2578.88i | −0.219221 | + | 0.126568i | ||||
\(747\) | 21089.2 | + | 22395.6i | 1.03295 | + | 1.09694i | ||||
\(748\) | − | 23356.0i | − | 1.14168i | ||||||
\(749\) | −8258.18 | − | 23877.1i | −0.402867 | − | 1.16482i | ||||
\(750\) | −365.067 | − | 490.855i | −0.0177738 | − | 0.0238980i | ||||
\(751\) | 5640.48 | − | 9769.60i | 0.274067 | − | 0.474698i | −0.695832 | − | 0.718204i | \(-0.744964\pi\) |
0.969899 | + | 0.243506i | \(0.0782977\pi\) | |||||||
\(752\) | −3760.05 | − | 6512.60i | −0.182334 | − | 0.315811i | ||||
\(753\) | 26065.5 | + | 11258.2i | 1.26146 | + | 0.544847i | ||||
\(754\) | −7612.72 | − | 4395.21i | −0.367691 | − | 0.212286i | ||||
\(755\) | 15615.2 | 0.752711 | ||||||||
\(756\) | −18254.4 | + | 2890.33i | −0.878182 | + | 0.139048i | ||||
\(757\) | −23382.2 | −1.12264 | −0.561320 | − | 0.827599i | \(-0.689706\pi\) | ||||
−0.561320 | + | 0.827599i | \(0.689706\pi\) | |||||||
\(758\) | −2531.50 | − | 1461.56i | −0.121304 | − | 0.0700348i | ||||
\(759\) | −26183.1 | − | 11309.0i | −1.25216 | − | 0.540830i | ||||
\(760\) | 4070.42 | + | 7050.17i | 0.194276 | + | 0.336495i | ||||
\(761\) | 1932.62 | − | 3347.40i | 0.0920599 | − | 0.159452i | −0.816318 | − | 0.577603i | \(-0.803988\pi\) |
0.908378 | + | 0.418151i | \(0.137322\pi\) | |||||||
\(762\) | 262.405 | + | 352.820i | 0.0124750 | + | 0.0167734i | ||||
\(763\) | −5373.11 | + | 27846.1i | −0.254941 | + | 1.32123i | ||||
\(764\) | − | 4803.06i | − | 0.227446i | ||||||
\(765\) | 4732.51 | + | 5025.67i | 0.223665 | + | 0.237521i | ||||
\(766\) | −11183.2 | + | 6456.63i | −0.527501 | + | 0.304553i | ||||
\(767\) | 18589.9 | − | 10732.9i | 0.875151 | − | 0.505269i | ||||
\(768\) | 163.006 | + | 1400.34i | 0.00765880 | + | 0.0657950i | ||||
\(769\) | − | 16183.4i | − | 0.758892i | −0.925214 | − | 0.379446i | \(-0.876115\pi\) | ||
0.925214 | − | 0.379446i | \(-0.123885\pi\) | |||||||
\(770\) | 5292.73 | − | 1830.55i | 0.247710 | − | 0.0856735i | ||||
\(771\) | 17063.8 | − | 12691.0i | 0.797064 | − | 0.592807i | ||||
\(772\) | −39.3014 | + | 68.0720i | −0.00183224 | + | 0.00317353i | ||||
\(773\) | −6727.47 | − | 11652.3i | −0.313027 | − | 0.542179i | 0.665989 | − | 0.745962i | \(-0.268010\pi\) |
−0.979016 | + | 0.203782i | \(0.934677\pi\) | |||||||
\(774\) | −3215.13 | − | 13623.1i | −0.149310 | − | 0.632652i | ||||
\(775\) | 598.994 | + | 345.829i | 0.0277632 | + | 0.0160291i | ||||
\(776\) | 764.283 | 0.0353559 | ||||||||
\(777\) | −12167.0 | − | 910.967i | −0.561761 | − | 0.0420602i | ||||
\(778\) | −3988.28 | −0.183788 | ||||||||
\(779\) | 7212.75 | + | 4164.28i | 0.331737 | + | 0.191529i | ||||
\(780\) | 4940.51 | − | 11438.5i | 0.226793 | − | 0.525082i | ||||
\(781\) | −730.448 | − | 1265.17i | −0.0334667 | − | 0.0579660i | ||||
\(782\) | −2058.29 | + | 3565.06i | −0.0941230 | + | 0.163026i | ||||
\(783\) | 18259.4 | − | 6616.58i | 0.833383 | − | 0.301989i | ||||
\(784\) | −13848.8 | − | 5551.14i | −0.630866 | − | 0.252876i | ||||
\(785\) | − | 1637.17i | − | 0.0744370i | ||||||
\(786\) | 7667.24 | − | 892.498i | 0.347941 | − | 0.0405017i | ||||
\(787\) | −871.750 | + | 503.305i | −0.0394848 | + | 0.0227966i | −0.519612 | − | 0.854402i | \(-0.673924\pi\) |
0.480128 | + | 0.877199i | \(0.340590\pi\) | |||||||
\(788\) | 18729.5 | − | 10813.5i | 0.846715 | − | 0.488851i | ||||
\(789\) | −4673.37 | + | 544.000i | −0.210870 | + | 0.0245461i | ||||
\(790\) | − | 2936.44i | − | 0.132245i | ||||||
\(791\) | 15451.6 | − | 17824.3i | 0.694557 | − | 0.801213i | ||||
\(792\) | −7100.11 | + | 23634.7i | −0.318550 | + | 1.06038i | ||||
\(793\) | −169.913 | + | 294.297i | −0.00760879 | + | 0.0131788i | ||||
\(794\) | −247.096 | − | 427.982i | −0.0110442 | − | 0.0191291i | ||||
\(795\) | −1799.51 | + | 4166.32i | −0.0802793 | + | 0.185867i | ||||
\(796\) | −9531.37 | − | 5502.94i | −0.424410 | − | 0.245033i | ||||
\(797\) | 1228.04 | 0.0545788 | 0.0272894 | − | 0.999628i | \(-0.491312\pi\) | ||||
0.0272894 | + | 0.999628i | \(0.491312\pi\) | |||||||
\(798\) | 5839.69 | − | 8566.49i | 0.259051 | − | 0.380013i | ||||
\(799\) | 8840.31 | 0.391424 | ||||||||
\(800\) | 3352.32 | + | 1935.46i | 0.148153 | + | 0.0855362i | ||||
\(801\) | −8891.92 | + | 2098.55i | −0.392236 | + | 0.0925700i | ||||
\(802\) | −1120.35 | − | 1940.50i | −0.0493278 | − | 0.0854383i | ||||
\(803\) | −13133.0 | + | 22747.0i | −0.577153 | + | 0.999658i | ||||
\(804\) | 5745.76 | − | 4273.34i | 0.252036 | − | 0.187449i | ||||
\(805\) | 7771.97 | + | 1499.66i | 0.340281 | + | 0.0656598i | ||||
\(806\) | − | 1756.83i | − | 0.0767761i | ||||||
\(807\) | 3424.53 | + | 29419.3i | 0.149379 | + | 1.28328i | ||||
\(808\) | 20960.2 | − | 12101.4i | 0.912594 | − | 0.526886i | ||||
\(809\) | −9453.56 | + | 5458.02i | −0.410840 | + | 0.237199i | −0.691151 | − | 0.722711i | \(-0.742896\pi\) |
0.280311 | + | 0.959909i | \(0.409563\pi\) | |||||||
\(810\) | −1534.89 | − | 3070.69i | −0.0665810 | − | 0.133201i | ||||
\(811\) | 32499.9i | 1.40718i | 0.710604 | + | 0.703592i | \(0.248422\pi\) | ||||
−0.710604 | + | 0.703592i | \(0.751578\pi\) | |||||||
\(812\) | 17905.7 | + | 3455.05i | 0.773853 | + | 0.149321i | ||||
\(813\) | 24106.7 | + | 32412.9i | 1.03993 | + | 1.39824i | ||||
\(814\) | −3833.86 | + | 6640.44i | −0.165082 | + | 0.285930i | ||||
\(815\) | 6247.07 | + | 10820.2i | 0.268497 | + | 0.465051i | ||||
\(816\) | −10610.3 | − | 4582.77i | −0.455188 | − | 0.196604i | ||||
\(817\) | −54528.9 | − | 31482.3i | −2.33504 | − | 1.34813i | ||||
\(818\) | 5671.96 | 0.242440 | ||||||||
\(819\) | −33686.3 | + | 1386.97i | −1.43723 | + | 0.0591755i | ||||
\(820\) | 2589.47 | 0.110278 | ||||||||
\(821\) | −15747.6 | − | 9091.89i | −0.669422 | − | 0.386491i | 0.126436 | − | 0.991975i | \(-0.459646\pi\) |
−0.795858 | + | 0.605484i | \(0.792980\pi\) | |||||||
\(822\) | −10261.8 | − | 4432.28i | −0.435429 | − | 0.188070i | ||||
\(823\) | −17915.0 | − | 31029.7i | −0.758783 | − | 1.31425i | −0.943471 | − | 0.331454i | \(-0.892461\pi\) |
0.184688 | − | 0.982797i | \(-0.440872\pi\) | |||||||
\(824\) | −975.251 | + | 1689.18i | −0.0412312 | + | 0.0714145i | ||||
\(825\) | −4978.13 | − | 6693.39i | −0.210080 | − | 0.282465i | ||||
\(826\) | 3637.54 | − | 4196.11i | 0.153228 | − | 0.176757i | ||||
\(827\) | − | 12160.4i | − | 0.511315i | −0.966767 | − | 0.255658i | \(-0.917708\pi\) | ||
0.966767 | − | 0.255658i | \(-0.0822920\pi\) | |||||||
\(828\) | −11951.2 | + | 11254.1i | −0.501610 | + | 0.472350i | ||||
\(829\) | 6015.16 | − | 3472.85i | 0.252008 | − | 0.145497i | −0.368675 | − | 0.929558i | \(-0.620189\pi\) |
0.620684 | + | 0.784061i | \(0.286855\pi\) | |||||||
\(830\) | −4646.47 | + | 2682.64i | −0.194315 | + | 0.112188i | ||||
\(831\) | −1123.42 | − | 9651.01i | −0.0468964 | − | 0.402876i | ||||
\(832\) | 13630.1i | 0.567956i | ||||||||
\(833\) | 13791.4 | − | 10836.1i | 0.573643 | − | 0.450718i | ||||
\(834\) | −4055.10 | + | 3015.93i | −0.168365 | + | 0.125220i | ||||
\(835\) | −5738.73 | + | 9939.78i | −0.237841 | + | 0.411952i | ||||
\(836\) | 26123.6 | + | 45247.4i | 1.08075 | + | 1.87191i | ||||
\(837\) | 2969.84 | + | 2499.18i | 0.122644 | + | 0.103207i | ||||
\(838\) | 4458.78 | + | 2574.28i | 0.183802 | + | 0.106118i | ||||
\(839\) | −21336.4 | −0.877965 | −0.438983 | − | 0.898496i | \(-0.644661\pi\) | ||||
−0.438983 | + | 0.898496i | \(0.644661\pi\) | |||||||
\(840\) | 511.354 | − | 6829.71i | 0.0210040 | − | 0.280533i | ||||
\(841\) | 5225.97 | 0.214276 | ||||||||
\(842\) | −1790.36 | − | 1033.66i | −0.0732777 | − | 0.0423069i | ||||
\(843\) | 15203.1 | − | 35199.0i | 0.621142 | − | 1.43810i | ||||
\(844\) | 8399.92 | + | 14549.1i | 0.342579 | + | 0.593365i | ||||
\(845\) | 5872.24 | − | 10171.0i | 0.239067 | − | 0.414075i | ||||
\(846\) | −4210.37 | − | 1264.84i | −0.171106 | − | 0.0514021i | ||||
\(847\) | 48876.2 | − | 16904.4i | 1.98277 | − | 0.685765i | ||||
\(848\) | − | 7598.29i | − | 0.307696i | ||||||
\(849\) | −14787.0 | + | 1721.27i | −0.597750 | + | 0.0695805i | ||||
\(850\) | −1042.69 | + | 601.996i | −0.0420751 | + | 0.0242921i | ||||
\(851\) | −9385.36 | + | 5418.64i | −0.378057 | + | 0.218271i | ||||
\(852\) | −835.217 | + | 97.2227i | −0.0335846 | + | 0.00390938i | ||||
\(853\) | − | 2147.63i | − | 0.0862057i | −0.999071 | − | 0.0431029i | \(-0.986276\pi\) | ||
0.999071 | − | 0.0431029i | \(-0.0137243\pi\) | |||||||
\(854\) | −16.6565 | + | 86.3221i | −0.000667417 | + | 0.00345888i | ||||
\(855\) | −14789.5 | − | 4442.92i | −0.591566 | − | 0.177713i | ||||
\(856\) | −9708.62 | + | 16815.8i | −0.387656 | + | 0.671440i | ||||
\(857\) | 10464.4 | + | 18124.9i | 0.417103 | + | 0.722443i | 0.995647 | − | 0.0932081i | \(-0.0297122\pi\) |
−0.578544 | + | 0.815651i | \(0.696379\pi\) | |||||||
\(858\) | −8401.33 | + | 19451.2i | −0.334285 | + | 0.773954i | ||||
\(859\) | 39983.3 | + | 23084.3i | 1.58814 | + | 0.916912i | 0.993614 | + | 0.112835i | \(0.0359933\pi\) |
0.594525 | + | 0.804077i | \(0.297340\pi\) | |||||||
\(860\) | −19576.6 | −0.776227 | ||||||||
\(861\) | −3040.55 | − | 6312.67i | −0.120350 | − | 0.249867i | ||||
\(862\) | 12560.7 | 0.496308 | ||||||||
\(863\) | 32153.8 | + | 18564.0i | 1.26828 | + | 0.732244i | 0.974663 | − | 0.223678i | \(-0.0718062\pi\) |
0.293621 | + | 0.955922i | \(0.405140\pi\) | |||||||
\(864\) | 16621.0 | + | 13986.9i | 0.654465 | + | 0.550745i | ||||
\(865\) | −3749.65 | − | 6494.59i | −0.147390 | − | 0.255286i | ||||
\(866\) | 207.976 | − | 360.225i | 0.00816087 | − | 0.0141350i | ||||
\(867\) | −9582.33 | + | 7126.74i | −0.375355 | + | 0.279166i | ||||
\(868\) | 1191.29 | + | 3444.41i | 0.0465841 | + | 0.134690i | ||||
\(869\) | − | 40041.9i | − | 1.56309i | ||||||
\(870\) | 391.649 | + | 3364.56i | 0.0152622 | + | 0.131114i | ||||
\(871\) | 11312.6 | − | 6531.31i | 0.440082 | − | 0.254081i | ||||
\(872\) | 18875.7 | − | 10897.9i | 0.733041 | − | 0.423221i | ||||
\(873\) | −1055.47 | + | 993.898i | −0.0409189 | + | 0.0385319i | ||||
\(874\) | − | 9208.76i | − | 0.356397i | ||||||
\(875\) | 1749.26 | + | 1516.40i | 0.0675837 | + | 0.0585871i | ||||
\(876\) | 9022.16 | + | 12130.8i | 0.347980 | + | 0.467880i | ||||
\(877\) | 4058.11 | − | 7028.85i | 0.156252 | − | 0.270636i | −0.777262 | − | 0.629176i | \(-0.783392\pi\) |
0.933514 | + | 0.358541i | \(0.116726\pi\) | |||||||
\(878\) | 3583.00 | + | 6205.94i | 0.137723 | + | 0.238543i | ||||
\(879\) | −1939.19 | − | 837.572i | −0.0744109 | − | 0.0321395i | ||||
\(880\) | 12094.9 | + | 6983.01i | 0.463318 | + | 0.267497i | ||||
\(881\) | −32408.5 | −1.23935 | −0.619676 | − | 0.784858i | \(-0.712736\pi\) | ||||
−0.619676 | + | 0.784858i | \(0.712736\pi\) | |||||||
\(882\) | −8118.82 | + | 3187.66i | −0.309949 | + | 0.121694i | ||||
\(883\) | −9941.69 | −0.378895 | −0.189448 | − | 0.981891i | \(-0.560670\pi\) | ||||
−0.189448 | + | 0.981891i | \(0.560670\pi\) | |||||||
\(884\) | −21237.7 | − | 12261.6i | −0.808033 | − | 0.466518i | ||||
\(885\) | −7593.54 | − | 3279.79i | −0.288422 | − | 0.124575i | ||||
\(886\) | −2683.77 | − | 4648.43i | −0.101764 | − | 0.176261i | ||||
\(887\) | 26328.4 | − | 45602.1i | 0.996641 | − | 1.72623i | 0.427394 | − | 0.904065i | \(-0.359432\pi\) |
0.569246 | − | 0.822167i | \(-0.307235\pi\) | |||||||
\(888\) | 5596.05 | + | 7524.22i | 0.211476 | + | 0.284343i | ||||
\(889\) | −1257.34 | − | 1089.97i | −0.0474352 | − | 0.0411208i | ||||
\(890\) | − | 1593.45i | − | 0.0600143i | ||||||
\(891\) | −20930.1 | − | 41872.5i | −0.786963 | − | 1.57439i | ||||
\(892\) | 5027.45 | − | 2902.60i | 0.188712 | − | 0.108953i | ||||
\(893\) | −17126.3 | + | 9887.88i | −0.641781 | + | 0.370532i | ||||
\(894\) | −1428.43 | − | 12271.3i | −0.0534383 | − | 0.459076i | ||||
\(895\) | 2481.80i | 0.0926897i | ||||||||
\(896\) | 8651.17 | + | 25013.3i | 0.322562 | + | 0.932631i | ||||
\(897\) | −24029.1 | + | 17871.4i | −0.894436 | + | 0.665226i | ||||
\(898\) | 2383.03 | − | 4127.52i | 0.0885553 | − | 0.153382i | ||||
\(899\) | −1914.93 | − | 3316.76i | −0.0710419 | − | 0.123048i | ||||
\(900\) | −4672.89 | + | 1102.83i | −0.173070 | + | 0.0408455i | ||||
\(901\) | 7735.54 | + | 4466.12i | 0.286025 | + | 0.165136i | ||||
\(902\) | −4403.39 | −0.162546 | ||||||||
\(903\) | 22986.8 | + | 47724.3i | 0.847123 | + | 1.75877i | ||||
\(904\) | −18129.5 | −0.667012 | ||||||||
\(905\) | −6482.97 | − | 3742.95i | −0.238123 | − | 0.137480i | ||||
\(906\) | −6060.19 | + | 14030.9i | −0.222226 | + | 0.514508i | ||||
\(907\) | 5626.59 | + | 9745.54i | 0.205984 | + | 0.356775i | 0.950446 | − | 0.310890i | \(-0.100627\pi\) |
−0.744462 | + | 0.667665i | \(0.767294\pi\) | |||||||
\(908\) | 7977.27 | − | 13817.0i | 0.291558 | − | 0.504994i | ||||
\(909\) | −13208.8 | + | 43969.1i | −0.481967 | + | 1.60436i | ||||
\(910\) | 1114.09 | − | 5773.73i | 0.0405841 | − | 0.210327i | ||||
\(911\) | 14878.7i | 0.541111i | 0.962704 | + | 0.270556i | \(0.0872074\pi\) | ||||
−0.962704 | + | 0.270556i | \(0.912793\pi\) | |||||||
\(912\) | 25681.0 | − | 2989.38i | 0.932439 | − | 0.108540i | ||||
\(913\) | −63360.1 | + | 36581.0i | −2.29673 | + | 1.32602i | ||||
\(914\) | 3232.83 | − | 1866.48i | 0.116994 | − | 0.0675465i | ||||
\(915\) | 130.069 | − | 15.1406i | 0.00469941 | − | 0.000547030i | ||||
\(916\) | − | 27792.9i | − | 1.00251i | ||||||
\(917\) | −27607.3 | + | 9548.31i | −0.994191 | + | 0.343853i | ||||
\(918\) | −6352.41 | + | 2301.89i | −0.228389 | + | 0.0827600i | ||||
\(919\) | −21331.7 | + | 36947.7i | −0.765690 | + | 1.32621i | 0.174190 | + | 0.984712i | \(0.444269\pi\) |
−0.939881 | + | 0.341503i | \(0.889064\pi\) | |||||||
\(920\) | −3041.65 | − | 5268.30i | −0.109000 | − | 0.188794i | ||||
\(921\) | 12195.6 | − | 28235.8i | 0.436327 | − | 1.01021i | ||||
\(922\) | 8445.02 | + | 4875.73i | 0.301651 | + | 0.174158i | ||||
\(923\) | −1533.91 | −0.0547011 | ||||||||
\(924\) | 3281.83 | − | 43832.6i | 0.116845 | − | 1.56059i | ||||
\(925\) | −3169.63 | −0.112667 | ||||||||
\(926\) | 4399.40 | + | 2540.00i | 0.156127 | + | 0.0901398i | ||||
\(927\) | −849.857 | − | 3601.00i | −0.0301111 | − | 0.127586i | ||||
\(928\) | −10717.1 | − | 18562.5i | −0.379101 | − | 0.656622i | ||||
\(929\) | 10570.0 | − | 18307.7i | 0.373293 | − | 0.646563i | −0.616777 | − | 0.787138i | \(-0.711562\pi\) |
0.990070 | + | 0.140575i | \(0.0448952\pi\) | |||||||
\(930\) | −543.206 | + | 404.003i | −0.0191532 | + | 0.0142449i | ||||
\(931\) | −14597.9 | + | 36418.4i | −0.513886 | + | 1.28202i | ||||
\(932\) | 10457.4i | 0.367535i | ||||||||
\(933\) | 1289.00 | + | 11073.5i | 0.0452304 | + | 0.388563i | ||||
\(934\) | 7348.75 | − | 4242.80i | 0.257450 | − | 0.148639i | ||||
\(935\) | −14218.3 | + | 8208.93i | −0.497313 | + | 0.287124i | ||||
\(936\) | 17763.7 | + | 18864.1i | 0.620324 | + | 0.658752i | ||||
\(937\) | 36027.4i | 1.25610i | 0.778174 | + | 0.628049i | \(0.216146\pi\) | ||||
−0.778174 | + | 0.628049i | \(0.783854\pi\) | |||||||
\(938\) | 2213.56 | − | 2553.47i | 0.0770526 | − | 0.0888848i | ||||
\(939\) | 20442.1 | + | 27485.7i | 0.710441 | + | 0.955230i | ||||
\(940\) | −3074.28 | + | 5324.81i | −0.106672 | + | 0.184762i | ||||
\(941\) | −18281.0 | − | 31663.6i | −0.633308 | − | 1.09692i | −0.986871 | − | 0.161511i | \(-0.948363\pi\) |
0.353563 | − | 0.935411i | \(-0.384970\pi\) | |||||||
\(942\) | 1471.06 | + | 635.376i | 0.0508807 | + | 0.0219763i | ||||
\(943\) | −5389.79 | − | 3111.80i | −0.186125 | − | 0.107459i | ||||
\(944\) | 13848.7 | 0.477474 | ||||||||
\(945\) | 8175.40 | + | 10096.8i | 0.281424 | + | 0.347563i | ||||
\(946\) | 33289.9 | 1.14413 | ||||||||
\(947\) | −40612.5 | − | 23447.6i | −1.39359 | − | 0.804588i | −0.399878 | − | 0.916569i | \(-0.630947\pi\) |
−0.993710 | + | 0.111980i | \(0.964281\pi\) | |||||||
\(948\) | −21158.0 | − | 9138.52i | −0.724872 | − | 0.313086i | ||||
\(949\) | 13789.3 | + | 23883.8i | 0.471676 | + | 0.816967i | ||||
\(950\) | 1346.66 | − | 2332.49i | 0.0459911 | − | 0.0796588i | ||||
\(951\) | −2485.12 | − | 3341.39i | −0.0847377 | − | 0.113935i | ||||
\(952\) | −13235.6 | − | 2553.90i | −0.450596 | − | 0.0869459i | ||||
\(953\) | 7295.27i | 0.247972i | 0.992284 | + | 0.123986i | \(0.0395677\pi\) | ||||
−0.992284 | + | 0.123986i | \(0.960432\pi\) | |||||||
\(954\) | −3045.21 | − | 3233.85i | −0.103346 | − | 0.109748i | ||||
\(955\) | −2923.93 | + | 1688.13i | −0.0990746 | + | 0.0572007i | ||||
\(956\) | 21302.4 | − | 12299.0i | 0.720679 | − | 0.416084i | ||||
\(957\) | 5340.60 | + | 45879.9i | 0.180394 | + | 1.54972i | ||||
\(958\) | 14844.7i | 0.500636i | ||||||||
\(959\) | 41536.4 | + | 8014.77i | 1.39862 | + | 0.269875i | ||||
\(960\) | 4214.40 | − | 3134.41i | 0.141687 | − | 0.105378i | ||||
\(961\) | −14512.8 | + | 25136.9i | −0.487153 | + | 0.843774i | ||||
\(962\) | 4025.46 | + | 6972.30i | 0.134913 | + | 0.233676i | ||||
\(963\) | −8460.32 | − | 35847.9i | −0.283105 | − | 1.19957i | ||||
\(964\) | −16528.9 | − | 9542.95i | −0.552240 | − | 0.318836i | ||||
\(965\) | 55.2531 | 0.00184317 | ||||||||
\(966\) | −4363.76 | + | 6401.39i | −0.145343 | + | 0.213210i | ||||
\(967\) | 51841.5 | 1.72400 | 0.862001 | − | 0.506907i | \(-0.169211\pi\) | ||||
0.862001 | + | 0.506907i | \(0.169211\pi\) | |||||||
\(968\) | −34421.8 | − | 19873.5i | −1.14293 | − | 0.659873i | ||||
\(969\) | −12051.4 | + | 27902.0i | −0.399532 | + | 0.925017i | ||||
\(970\) | −126.428 | − | 218.980i | −0.00418491 | − | 0.00724848i | ||||
\(971\) | 21077.3 | − | 36506.9i | 0.696604 | − | 1.20655i | −0.273033 | − | 0.962005i | \(-0.588027\pi\) |
0.969637 | − | 0.244548i | \(-0.0786397\pi\) | |||||||
\(972\) | −26902.0 | + | 1503.07i | −0.887738 | + | 0.0495997i | ||||
\(973\) | 12527.5 | − | 14451.2i | 0.412756 | − | 0.476139i | ||||
\(974\) | − | 16501.2i | − | 0.542846i | ||||||
\(975\) | −8699.80 | + | 1012.69i | −0.285760 | + | 0.0332637i | ||||
\(976\) | −189.866 | + | 109.619i | −0.00622692 | + | 0.00359511i | ||||
\(977\) | −24375.0 | + | 14072.9i | −0.798184 | + | 0.460832i | −0.842836 | − | 0.538171i | \(-0.819115\pi\) |
0.0446518 | + | 0.999003i | \(0.485782\pi\) | |||||||
\(978\) | −12146.8 | + | 1413.94i | −0.397150 | + | 0.0462299i | ||||
\(979\) | − | 21728.6i | − | 0.709347i | ||||||
\(980\) | 1730.86 | + | 12075.3i | 0.0564186 | + | 0.393605i | ||||
\(981\) | −11895.2 | + | 39596.4i | −0.387140 | + | 1.28870i | ||||
\(982\) | −4486.13 | + | 7770.20i | −0.145782 | + | 0.252502i | ||||
\(983\) | −3337.28 | − | 5780.34i | −0.108284 | − | 0.187553i | 0.806791 | − | 0.590836i | \(-0.201202\pi\) |
−0.915075 | + | 0.403284i | \(0.867869\pi\) | |||||||
\(984\) | −2135.24 | + | 4943.61i | −0.0691757 | + | 0.160159i | ||||
\(985\) | −13165.7 | − | 7601.24i | −0.425883 | − | 0.245884i | ||||
\(986\) | 6666.77 | 0.215328 | ||||||||
\(987\) | 16590.8 | + | 1242.18i | 0.535046 | + | 0.0400599i | ||||
\(988\) | 54858.3 | 1.76647 | ||||||||
\(989\) | 40747.2 | + | 23525.4i | 1.31010 | + | 0.756385i | ||||
\(990\) | 7946.24 | − | 1875.36i | 0.255099 | − | 0.0602049i | ||||
\(991\) | 5860.64 | + | 10150.9i | 0.187860 | + | 0.325383i | 0.944537 | − | 0.328406i | \(-0.106511\pi\) |
−0.756676 | + | 0.653790i | \(0.773178\pi\) | |||||||
\(992\) | 2141.89 | − | 3709.86i | 0.0685534 | − | 0.118738i | ||||
\(993\) | −2533.36 | + | 1884.16i | −0.0809606 | + | 0.0602135i | ||||
\(994\) | −375.032 | + | 129.709i | −0.0119671 | + | 0.00413896i | ||||
\(995\) | 7736.48i | 0.246495i | ||||||||
\(996\) | 4868.93 | + | 41827.9i | 0.154898 | + | 1.33069i | ||||
\(997\) | −8116.95 | + | 4686.32i | −0.257840 | + | 0.148864i | −0.623349 | − | 0.781944i | \(-0.714228\pi\) |
0.365509 | + | 0.930808i | \(0.380895\pi\) | |||||||
\(998\) | −9880.55 | + | 5704.54i | −0.313390 | + | 0.180936i | ||||
\(999\) | −17512.8 | − | 3113.60i | −0.554636 | − | 0.0986085i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 105.4.s.a.26.10 | ✓ | 32 | |
3.2 | odd | 2 | 105.4.s.b.26.7 | yes | 32 | ||
7.3 | odd | 6 | 105.4.s.b.101.7 | yes | 32 | ||
21.17 | even | 6 | inner | 105.4.s.a.101.10 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
105.4.s.a.26.10 | ✓ | 32 | 1.1 | even | 1 | trivial | |
105.4.s.a.101.10 | yes | 32 | 21.17 | even | 6 | inner | |
105.4.s.b.26.7 | yes | 32 | 3.2 | odd | 2 | ||
105.4.s.b.101.7 | yes | 32 | 7.3 | odd | 6 |