Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [108,4,Mod(11,108)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(108, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 13]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("108.11");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 108 = 2^{2} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 108.l (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.37220628062\) |
Analytic rank: | \(0\) |
Dimension: | \(312\) |
Relative dimension: | \(52\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 11.9 | ||
Character | \(\chi\) | \(=\) | 108.11 |
Dual form | 108.4.l.a.59.9 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(55\) |
\(\chi(n)\) | \(e\left(\frac{13}{18}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.60460 | − | 1.10274i | −0.920866 | − | 0.389879i | ||||
\(3\) | 2.16828 | + | 4.72213i | 0.417286 | + | 0.908775i | ||||
\(4\) | 5.56791 | + | 5.74442i | 0.695989 | + | 0.718052i | ||||
\(5\) | −0.836765 | + | 2.29899i | −0.0748425 | + | 0.205628i | −0.971472 | − | 0.237153i | \(-0.923786\pi\) |
0.896630 | + | 0.442781i | \(0.146008\pi\) | |||||||
\(6\) | −0.440216 | − | 14.6903i | −0.0299529 | − | 0.999551i | ||||
\(7\) | 22.6981 | + | 4.00229i | 1.22558 | + | 0.216103i | 0.748727 | − | 0.662879i | \(-0.230666\pi\) |
0.476855 | + | 0.878982i | \(0.341777\pi\) | |||||||
\(8\) | −8.16758 | − | 21.1019i | −0.360959 | − | 0.932581i | ||||
\(9\) | −17.5971 | + | 20.4779i | −0.651744 | + | 0.758439i | ||||
\(10\) | 4.71464 | − | 5.06522i | 0.149090 | − | 0.160176i | ||||
\(11\) | 2.30985 | − | 0.840718i | 0.0633134 | − | 0.0230442i | −0.310169 | − | 0.950681i | \(-0.600386\pi\) |
0.373483 | + | 0.927637i | \(0.378164\pi\) | |||||||
\(12\) | −15.0531 | + | 38.7480i | −0.362121 | + | 0.932131i | ||||
\(13\) | −22.0818 | + | 18.5288i | −0.471106 | + | 0.395305i | −0.847198 | − | 0.531277i | \(-0.821712\pi\) |
0.376092 | + | 0.926583i | \(0.377268\pi\) | |||||||
\(14\) | −54.7060 | − | 35.4545i | −1.04434 | − | 0.676830i | ||||
\(15\) | −12.6705 | + | 1.03355i | −0.218100 | + | 0.0177908i | ||||
\(16\) | −1.99669 | + | 63.9688i | −0.0311983 | + | 0.999513i | ||||
\(17\) | −42.9739 | + | 24.8110i | −0.613100 | + | 0.353973i | −0.774178 | − | 0.632968i | \(-0.781836\pi\) |
0.161078 | + | 0.986942i | \(0.448503\pi\) | |||||||
\(18\) | 68.4153 | − | 33.9316i | 0.895868 | − | 0.444320i | ||||
\(19\) | 53.4555 | + | 30.8625i | 0.645449 | + | 0.372650i | 0.786710 | − | 0.617322i | \(-0.211783\pi\) |
−0.141262 | + | 0.989972i | \(0.545116\pi\) | |||||||
\(20\) | −17.8654 | + | 7.99386i | −0.199741 | + | 0.0893741i | ||||
\(21\) | 30.3166 | + | 115.862i | 0.315030 | + | 1.20396i | ||||
\(22\) | −6.94335 | − | 0.357440i | −0.0672876 | − | 0.00346393i | ||||
\(23\) | 18.5100 | + | 104.975i | 0.167809 | + | 0.951690i | 0.946121 | + | 0.323813i | \(0.104965\pi\) |
−0.778313 | + | 0.627877i | \(0.783924\pi\) | |||||||
\(24\) | 81.9364 | − | 84.3233i | 0.696883 | − | 0.717185i | ||||
\(25\) | 91.1704 | + | 76.5010i | 0.729363 | + | 0.612008i | ||||
\(26\) | 77.9468 | − | 23.9097i | 0.587947 | − | 0.180349i | ||||
\(27\) | −134.855 | − | 38.6940i | −0.961214 | − | 0.275802i | ||||
\(28\) | 103.390 | + | 152.672i | 0.697818 | + | 1.03044i | ||||
\(29\) | −13.7345 | + | 16.3682i | −0.0879462 | + | 0.104810i | −0.808223 | − | 0.588877i | \(-0.799570\pi\) |
0.720277 | + | 0.693687i | \(0.244015\pi\) | |||||||
\(30\) | 34.1413 | + | 11.2803i | 0.207778 | + | 0.0686498i | ||||
\(31\) | −119.672 | + | 21.1014i | −0.693347 | + | 0.122256i | −0.509207 | − | 0.860644i | \(-0.670061\pi\) |
−0.184140 | + | 0.982900i | \(0.558950\pi\) | |||||||
\(32\) | 75.7418 | − | 164.412i | 0.418418 | − | 0.908254i | ||||
\(33\) | 8.97840 | + | 9.08452i | 0.0473618 | + | 0.0479216i | ||||
\(34\) | 139.290 | − | 17.2336i | 0.702589 | − | 0.0869275i | ||||
\(35\) | −28.1942 | + | 48.8338i | −0.136162 | + | 0.235840i | ||||
\(36\) | −215.612 | + | 12.9339i | −0.998206 | + | 0.0598790i | ||||
\(37\) | 146.742 | + | 254.165i | 0.652008 | + | 1.12931i | 0.982635 | + | 0.185549i | \(0.0594064\pi\) |
−0.330627 | + | 0.943761i | \(0.607260\pi\) | |||||||
\(38\) | −105.197 | − | 139.332i | −0.449083 | − | 0.594807i | ||||
\(39\) | −135.375 | − | 64.0974i | −0.555830 | − | 0.263174i | ||||
\(40\) | 55.3475 | − | 1.11987i | 0.218780 | − | 0.00442667i | ||||
\(41\) | −230.454 | − | 274.644i | −0.877824 | − | 1.04615i | −0.998570 | − | 0.0534666i | \(-0.982973\pi\) |
0.120745 | − | 0.992684i | \(-0.461472\pi\) | |||||||
\(42\) | 48.8029 | − | 335.205i | 0.179296 | − | 1.23150i | ||||
\(43\) | −101.863 | − | 279.866i | −0.361255 | − | 0.992539i | −0.978586 | − | 0.205836i | \(-0.934009\pi\) |
0.617332 | − | 0.786703i | \(-0.288214\pi\) | |||||||
\(44\) | 17.6905 | + | 8.58772i | 0.0606123 | + | 0.0294238i | ||||
\(45\) | −32.3538 | − | 57.5907i | −0.107178 | − | 0.190780i | ||||
\(46\) | 67.5497 | − | 293.831i | 0.216514 | − | 0.941804i | ||||
\(47\) | 85.6590 | − | 485.796i | 0.265844 | − | 1.50767i | −0.500779 | − | 0.865575i | \(-0.666953\pi\) |
0.766622 | − | 0.642098i | \(-0.221936\pi\) | |||||||
\(48\) | −306.399 | + | 129.274i | −0.921351 | + | 0.388731i | ||||
\(49\) | 176.871 | + | 64.3756i | 0.515658 | + | 0.187684i | ||||
\(50\) | −153.102 | − | 299.792i | −0.433037 | − | 0.847941i | ||||
\(51\) | −210.340 | − | 149.131i | −0.577520 | − | 0.409461i | ||||
\(52\) | −229.387 | − | 23.6802i | −0.611735 | − | 0.0631509i | ||||
\(53\) | 262.882i | 0.681315i | 0.940188 | + | 0.340657i | \(0.110650\pi\) | ||||
−0.940188 | + | 0.340657i | \(0.889350\pi\) | |||||||
\(54\) | 308.573 | + | 249.493i | 0.777620 | + | 0.628734i | ||||
\(55\) | 6.01382i | 0.0147437i | ||||||||
\(56\) | −100.933 | − | 511.662i | −0.240852 | − | 1.22096i | ||||
\(57\) | −29.8303 | + | 319.342i | −0.0693180 | + | 0.742069i | ||||
\(58\) | 53.8229 | − | 27.4869i | 0.121850 | − | 0.0622278i | ||||
\(59\) | 811.981 | + | 295.537i | 1.79171 | + | 0.652129i | 0.999101 | + | 0.0424007i | \(0.0135006\pi\) |
0.792610 | + | 0.609729i | \(0.208722\pi\) | |||||||
\(60\) | −76.4853 | − | 67.0299i | −0.164570 | − | 0.144225i | ||||
\(61\) | 64.4814 | − | 365.692i | 0.135344 | − | 0.767575i | −0.839275 | − | 0.543707i | \(-0.817020\pi\) |
0.974619 | − | 0.223868i | \(-0.0718685\pi\) | |||||||
\(62\) | 334.968 | + | 77.0069i | 0.686145 | + | 0.157740i | ||||
\(63\) | −481.379 | + | 394.380i | −0.962667 | + | 0.788685i | ||||
\(64\) | −378.581 | + | 344.703i | −0.739417 | + | 0.673248i | ||||
\(65\) | −24.1203 | − | 66.2701i | −0.0460271 | − | 0.126458i | ||||
\(66\) | −13.3673 | − | 33.5624i | −0.0249303 | − | 0.0625947i | ||||
\(67\) | 99.5849 | + | 118.681i | 0.181586 | + | 0.216405i | 0.849157 | − | 0.528141i | \(-0.177111\pi\) |
−0.667571 | + | 0.744546i | \(0.732666\pi\) | |||||||
\(68\) | −381.799 | − | 108.715i | −0.680882 | − | 0.193876i | ||||
\(69\) | −455.572 | + | 315.023i | −0.794847 | + | 0.549627i | ||||
\(70\) | 127.286 | − | 96.1016i | 0.217337 | − | 0.164091i | ||||
\(71\) | 224.567 | + | 388.961i | 0.375368 | + | 0.650157i | 0.990382 | − | 0.138360i | \(-0.0441829\pi\) |
−0.615014 | + | 0.788516i | \(0.710850\pi\) | |||||||
\(72\) | 575.847 | + | 204.078i | 0.942559 | + | 0.334039i | ||||
\(73\) | 393.313 | − | 681.239i | 0.630601 | − | 1.09223i | −0.356829 | − | 0.934170i | \(-0.616142\pi\) |
0.987429 | − | 0.158062i | \(-0.0505247\pi\) | |||||||
\(74\) | −101.926 | − | 823.818i | −0.160118 | − | 1.29415i | ||||
\(75\) | −163.565 | + | 596.395i | −0.251824 | + | 0.918210i | ||||
\(76\) | 120.348 | + | 478.910i | 0.181643 | + | 0.722826i | ||||
\(77\) | 55.7941 | − | 9.83800i | 0.0825756 | − | 0.0145603i | ||||
\(78\) | 281.915 | + | 316.232i | 0.409239 | + | 0.459055i | ||||
\(79\) | 624.862 | − | 744.681i | 0.889904 | − | 1.06055i | −0.107890 | − | 0.994163i | \(-0.534409\pi\) |
0.997794 | − | 0.0663840i | \(-0.0211462\pi\) | |||||||
\(80\) | −145.393 | − | 58.1172i | −0.203193 | − | 0.0812213i | ||||
\(81\) | −109.685 | − | 720.701i | −0.150460 | − | 0.988616i | ||||
\(82\) | 297.378 | + | 969.469i | 0.400487 | + | 1.30561i | ||||
\(83\) | 268.642 | + | 225.417i | 0.355268 | + | 0.298105i | 0.802901 | − | 0.596112i | \(-0.203289\pi\) |
−0.447633 | + | 0.894217i | \(0.647733\pi\) | |||||||
\(84\) | −496.757 | + | 819.258i | −0.645246 | + | 1.06415i | ||||
\(85\) | −21.0812 | − | 119.558i | −0.0269009 | − | 0.152563i | ||||
\(86\) | −43.3081 | + | 841.269i | −0.0543027 | + | 1.05484i | ||||
\(87\) | −107.073 | − | 29.3654i | −0.131948 | − | 0.0361874i | ||||
\(88\) | −36.6067 | − | 41.8757i | −0.0443441 | − | 0.0507269i | ||||
\(89\) | 852.625 | + | 492.263i | 1.01548 | + | 0.586290i | 0.912793 | − | 0.408423i | \(-0.133921\pi\) |
0.102692 | + | 0.994713i | \(0.467255\pi\) | |||||||
\(90\) | 20.7610 | + | 185.679i | 0.0243156 | + | 0.217470i | ||||
\(91\) | −575.372 | + | 332.191i | −0.662806 | + | 0.382671i | ||||
\(92\) | −499.960 | + | 690.822i | −0.566570 | + | 0.782861i | ||||
\(93\) | −359.127 | − | 519.354i | −0.400427 | − | 0.579081i | ||||
\(94\) | −758.816 | + | 1170.85i | −0.832616 | + | 1.28472i | ||||
\(95\) | −115.682 | + | 97.0690i | −0.124934 | + | 0.104832i | ||||
\(96\) | 940.603 | + | 1.17197i | 0.999999 | + | 0.00124597i | ||||
\(97\) | 1080.17 | − | 393.151i | 1.13067 | − | 0.411530i | 0.292134 | − | 0.956377i | \(-0.405635\pi\) |
0.838535 | + | 0.544847i | \(0.183412\pi\) | |||||||
\(98\) | −389.688 | − | 362.716i | −0.401678 | − | 0.373876i | ||||
\(99\) | −23.4306 | + | 62.0950i | −0.0237865 | + | 0.0630382i | ||||
\(100\) | 68.1748 | + | 949.672i | 0.0681748 | + | 0.949672i | ||||
\(101\) | −1172.32 | − | 206.712i | −1.15496 | − | 0.203650i | −0.436818 | − | 0.899550i | \(-0.643894\pi\) |
−0.718139 | + | 0.695900i | \(0.755006\pi\) | |||||||
\(102\) | 383.400 | + | 620.379i | 0.372179 | + | 0.602222i | ||||
\(103\) | 627.482 | − | 1723.99i | 0.600269 | − | 1.64922i | −0.150462 | − | 0.988616i | \(-0.548076\pi\) |
0.750731 | − | 0.660608i | \(-0.229702\pi\) | |||||||
\(104\) | 571.348 | + | 314.632i | 0.538705 | + | 0.296656i | ||||
\(105\) | −291.733 | − | 27.2512i | −0.271145 | − | 0.0253281i | ||||
\(106\) | 289.892 | − | 684.704i | 0.265630 | − | 0.627400i | ||||
\(107\) | 1483.70 | 1.34051 | 0.670257 | − | 0.742129i | \(-0.266184\pi\) | ||||
0.670257 | + | 0.742129i | \(0.266184\pi\) | |||||||
\(108\) | −528.584 | − | 990.106i | −0.470954 | − | 0.882158i | ||||
\(109\) | −1859.63 | −1.63413 | −0.817066 | − | 0.576544i | \(-0.804401\pi\) | ||||
−0.817066 | + | 0.576544i | \(0.804401\pi\) | |||||||
\(110\) | 6.63170 | − | 15.6636i | 0.00574825 | − | 0.0135770i | ||||
\(111\) | −882.023 | + | 1244.04i | −0.754215 | + | 1.06377i | ||||
\(112\) | −301.343 | + | 1443.98i | −0.254234 | + | 1.21824i | ||||
\(113\) | 316.362 | − | 869.197i | 0.263370 | − | 0.723604i | −0.735564 | − | 0.677455i | \(-0.763083\pi\) |
0.998935 | − | 0.0461488i | \(-0.0146948\pi\) | |||||||
\(114\) | 429.849 | − | 798.865i | 0.353150 | − | 0.656321i | ||||
\(115\) | −256.826 | − | 45.2853i | −0.208253 | − | 0.0367207i | ||||
\(116\) | −170.498 | + | 12.2397i | −0.136469 | + | 0.00979678i | ||||
\(117\) | 9.14469 | − | 778.241i | 0.00722587 | − | 0.614943i | ||||
\(118\) | −1788.99 | − | 1665.16i | −1.39567 | − | 1.29907i | ||||
\(119\) | −1074.73 | + | 391.168i | −0.827899 | + | 0.301330i | ||||
\(120\) | 125.297 | + | 258.930i | 0.0953168 | + | 0.196975i | ||||
\(121\) | −1014.98 | + | 851.666i | −0.762567 | + | 0.639870i | ||||
\(122\) | −571.213 | + | 881.376i | −0.423895 | + | 0.654066i | ||||
\(123\) | 797.216 | − | 1683.74i | 0.584411 | − | 1.23429i | ||||
\(124\) | −787.540 | − | 569.956i | −0.570348 | − | 0.412771i | ||||
\(125\) | −517.009 | + | 298.495i | −0.369941 | + | 0.213586i | ||||
\(126\) | 1688.70 | − | 496.365i | 1.19398 | − | 0.350950i | ||||
\(127\) | −1096.00 | − | 632.778i | −0.765784 | − | 0.442126i | 0.0655845 | − | 0.997847i | \(-0.479109\pi\) |
−0.831369 | + | 0.555721i | \(0.812442\pi\) | |||||||
\(128\) | 1366.17 | − | 480.337i | 0.943389 | − | 0.331689i | ||||
\(129\) | 1100.70 | − | 1087.84i | 0.751248 | − | 0.742472i | ||||
\(130\) | −10.2550 | + | 199.206i | −0.00691865 | + | 0.134396i | ||||
\(131\) | 385.523 | + | 2186.41i | 0.257124 | + | 1.45822i | 0.790560 | + | 0.612384i | \(0.209789\pi\) |
−0.533436 | + | 0.845841i | \(0.679099\pi\) | |||||||
\(132\) | −2.19434 | + | 102.158i | −0.00144691 | + | 0.0673611i | ||||
\(133\) | 1089.82 | + | 914.464i | 0.710519 | + | 0.596196i | ||||
\(134\) | −128.505 | − | 418.933i | −0.0828442 | − | 0.270077i | ||||
\(135\) | 201.799 | − | 277.652i | 0.128652 | − | 0.177011i | ||||
\(136\) | 874.552 | + | 704.185i | 0.551413 | + | 0.443995i | ||||
\(137\) | −2.85198 | + | 3.39886i | −0.00177855 | + | 0.00211959i | −0.766933 | − | 0.641727i | \(-0.778218\pi\) |
0.765154 | + | 0.643847i | \(0.222663\pi\) | |||||||
\(138\) | 1533.97 | − | 318.130i | 0.946236 | − | 0.196239i | ||||
\(139\) | 1628.68 | − | 287.180i | 0.993834 | − | 0.175240i | 0.346995 | − | 0.937867i | \(-0.387202\pi\) |
0.646838 | + | 0.762627i | \(0.276091\pi\) | |||||||
\(140\) | −437.504 | + | 109.943i | −0.264113 | + | 0.0663705i | ||||
\(141\) | 2479.73 | − | 648.851i | 1.48107 | − | 0.387540i | ||||
\(142\) | −155.983 | − | 1260.73i | −0.0921816 | − | 0.745055i | ||||
\(143\) | −35.4282 | + | 61.3634i | −0.0207179 | + | 0.0358844i | ||||
\(144\) | −1274.81 | − | 1166.55i | −0.737737 | − | 0.675089i | ||||
\(145\) | −26.1377 | − | 45.2719i | −0.0149698 | − | 0.0259285i | ||||
\(146\) | −1775.66 | + | 1340.63i | −1.00654 | + | 0.759942i | ||||
\(147\) | 79.5154 | + | 974.791i | 0.0446144 | + | 0.546935i | ||||
\(148\) | −642.983 | + | 2258.12i | −0.357114 | + | 1.25416i | ||||
\(149\) | 264.059 | + | 314.694i | 0.145185 | + | 0.173025i | 0.833736 | − | 0.552163i | \(-0.186197\pi\) |
−0.688551 | + | 0.725188i | \(0.741753\pi\) | |||||||
\(150\) | 1083.69 | − | 1373.00i | 0.589887 | − | 0.747367i | ||||
\(151\) | −457.403 | − | 1256.70i | −0.246509 | − | 0.677279i | −0.999808 | − | 0.0196001i | \(-0.993761\pi\) |
0.753299 | − | 0.657679i | \(-0.228462\pi\) | |||||||
\(152\) | 214.656 | − | 1380.08i | 0.114546 | − | 0.736445i | ||||
\(153\) | 248.139 | − | 1316.61i | 0.131117 | − | 0.695699i | ||||
\(154\) | −156.170 | − | 35.9025i | −0.0817179 | − | 0.0187864i | ||||
\(155\) | 51.6254 | − | 292.782i | 0.0267526 | − | 0.151722i | ||||
\(156\) | −385.555 | − | 1134.54i | −0.197879 | − | 0.582281i | ||||
\(157\) | 265.652 | + | 96.6894i | 0.135040 | + | 0.0491506i | 0.408656 | − | 0.912688i | \(-0.365998\pi\) |
−0.273616 | + | 0.961839i | \(0.588220\pi\) | |||||||
\(158\) | −2448.71 | + | 1250.54i | −1.23297 | + | 0.629667i | ||||
\(159\) | −1241.37 | + | 570.004i | −0.619162 | + | 0.284303i | ||||
\(160\) | 314.603 | + | 311.704i | 0.155447 | + | 0.154015i | ||||
\(161\) | 2456.82i | 1.20264i | ||||||||
\(162\) | −509.063 | + | 1998.09i | −0.246887 | + | 0.969044i | ||||
\(163\) | − | 1523.40i | − | 0.732034i | −0.930608 | − | 0.366017i | \(-0.880721\pi\) | ||
0.930608 | − | 0.366017i | \(-0.119279\pi\) | |||||||
\(164\) | 294.524 | − | 2853.01i | 0.140234 | − | 1.35843i | ||||
\(165\) | −28.3981 | + | 13.0397i | −0.0133987 | + | 0.00615234i | ||||
\(166\) | −451.127 | − | 883.364i | −0.210929 | − | 0.413026i | ||||
\(167\) | −1584.94 | − | 576.869i | −0.734407 | − | 0.267302i | −0.0523779 | − | 0.998627i | \(-0.516680\pi\) |
−0.682029 | + | 0.731325i | \(0.738902\pi\) | |||||||
\(168\) | 2197.29 | − | 1586.05i | 1.00907 | − | 0.728370i | ||||
\(169\) | −237.217 | + | 1345.32i | −0.107973 | + | 0.612346i | ||||
\(170\) | −76.9331 | + | 334.647i | −0.0347088 | + | 0.150978i | ||||
\(171\) | −1572.66 | + | 551.562i | −0.703299 | + | 0.246661i | ||||
\(172\) | 1040.50 | − | 2143.41i | 0.461266 | − | 0.950196i | ||||
\(173\) | −72.7765 | − | 199.952i | −0.0319832 | − | 0.0878731i | 0.922673 | − | 0.385583i | \(-0.126000\pi\) |
−0.954657 | + | 0.297710i | \(0.903777\pi\) | |||||||
\(174\) | 246.500 | + | 194.559i | 0.107397 | + | 0.0847673i | ||||
\(175\) | 1763.21 | + | 2101.32i | 0.761637 | + | 0.907684i | ||||
\(176\) | 49.1677 | + | 149.437i | 0.0210577 | + | 0.0640015i | ||||
\(177\) | 365.041 | + | 4475.09i | 0.155018 | + | 1.90039i | ||||
\(178\) | −1677.91 | − | 2222.38i | −0.706543 | − | 0.935810i | ||||
\(179\) | −260.045 | − | 450.411i | −0.108585 | − | 0.188074i | 0.806612 | − | 0.591081i | \(-0.201299\pi\) |
−0.915197 | + | 0.403006i | \(0.867965\pi\) | |||||||
\(180\) | 150.682 | − | 506.514i | 0.0623954 | − | 0.209741i | ||||
\(181\) | −1543.31 | + | 2673.10i | −0.633777 | + | 1.09773i | 0.352996 | + | 0.935625i | \(0.385163\pi\) |
−0.986773 | + | 0.162109i | \(0.948170\pi\) | |||||||
\(182\) | 1864.94 | − | 230.738i | 0.759551 | − | 0.0939750i | ||||
\(183\) | 1866.66 | − | 488.435i | 0.754030 | − | 0.197301i | ||||
\(184\) | 2064.00 | − | 1247.99i | 0.826956 | − | 0.500017i | ||||
\(185\) | −707.112 | + | 124.683i | −0.281016 | + | 0.0495507i | ||||
\(186\) | 362.669 | + | 1748.74i | 0.142969 | + | 0.689374i | ||||
\(187\) | −78.4043 | + | 93.4386i | −0.0306604 | + | 0.0365396i | ||||
\(188\) | 3267.56 | − | 2212.81i | 1.26761 | − | 0.858435i | ||||
\(189\) | −2906.08 | − | 1418.01i | −1.11845 | − | 0.545740i | ||||
\(190\) | 408.349 | − | 125.258i | 0.155920 | − | 0.0478273i | ||||
\(191\) | −1713.64 | − | 1437.91i | −0.649185 | − | 0.544731i | 0.257639 | − | 0.966241i | \(-0.417056\pi\) |
−0.906823 | + | 0.421511i | \(0.861500\pi\) | |||||||
\(192\) | −2448.61 | − | 1040.30i | −0.920380 | − | 0.391026i | ||||
\(193\) | −880.807 | − | 4995.30i | −0.328507 | − | 1.86306i | −0.483787 | − | 0.875186i | \(-0.660739\pi\) |
0.155280 | − | 0.987870i | \(-0.450372\pi\) | |||||||
\(194\) | −3246.97 | − | 167.152i | −1.20164 | − | 0.0618599i | ||||
\(195\) | 260.636 | − | 257.592i | 0.0957157 | − | 0.0945976i | ||||
\(196\) | 614.999 | + | 1374.46i | 0.224125 | + | 0.500895i | ||||
\(197\) | 4691.03 | + | 2708.37i | 1.69656 | + | 0.979508i | 0.948982 | + | 0.315331i | \(0.102116\pi\) |
0.747576 | + | 0.664177i | \(0.231218\pi\) | |||||||
\(198\) | 129.502 | − | 135.895i | 0.0464815 | − | 0.0487759i | ||||
\(199\) | −1586.90 | + | 916.195i | −0.565287 | + | 0.326369i | −0.755265 | − | 0.655420i | \(-0.772492\pi\) |
0.189978 | + | 0.981788i | \(0.439158\pi\) | |||||||
\(200\) | 869.676 | − | 2548.70i | 0.307477 | − | 0.901101i | ||||
\(201\) | −344.498 | + | 727.587i | −0.120890 | + | 0.255323i | ||||
\(202\) | 2825.49 | + | 1831.18i | 0.984161 | + | 0.637827i | ||||
\(203\) | −377.258 | + | 316.557i | −0.130435 | + | 0.109448i | ||||
\(204\) | −314.485 | − | 2038.63i | −0.107933 | − | 0.699671i | ||||
\(205\) | 824.239 | − | 299.999i | 0.280816 | − | 0.102209i | ||||
\(206\) | −3535.46 | + | 3798.37i | −1.19576 | + | 1.28468i | ||||
\(207\) | −2475.39 | − | 1468.21i | −0.831167 | − | 0.492985i | ||||
\(208\) | −1141.18 | − | 1449.54i | −0.380415 | − | 0.483210i | ||||
\(209\) | 149.421 | + | 26.3469i | 0.0494529 | + | 0.00871989i | ||||
\(210\) | 729.796 | + | 392.685i | 0.239813 | + | 0.129037i | ||||
\(211\) | −490.386 | + | 1347.33i | −0.159998 | + | 0.439591i | −0.993625 | − | 0.112737i | \(-0.964038\pi\) |
0.833627 | + | 0.552328i | \(0.186260\pi\) | |||||||
\(212\) | −1510.11 | + | 1463.71i | −0.489220 | + | 0.474188i | ||||
\(213\) | −1349.80 | + | 1903.81i | −0.434210 | + | 0.612427i | ||||
\(214\) | −3864.46 | − | 1636.14i | −1.23443 | − | 0.522638i | ||||
\(215\) | 728.645 | 0.231131 | ||||||||
\(216\) | 284.919 | + | 3161.73i | 0.0897513 | + | 0.995964i | ||||
\(217\) | −2800.79 | −0.876174 | ||||||||
\(218\) | 4843.60 | + | 2050.70i | 1.50482 | + | 0.637113i | ||||
\(219\) | 4069.71 | + | 380.159i | 1.25573 | + | 0.117300i | ||||
\(220\) | −34.5459 | + | 33.4844i | −0.0105867 | + | 0.0102614i | ||||
\(221\) | 489.222 | − | 1344.13i | 0.148908 | − | 0.409121i | ||||
\(222\) | 3669.17 | − | 2267.58i | 1.10927 | − | 0.685541i | ||||
\(223\) | −4137.55 | − | 729.562i | −1.24247 | − | 0.219081i | −0.486497 | − | 0.873682i | \(-0.661725\pi\) |
−0.755974 | + | 0.654601i | \(0.772837\pi\) | |||||||
\(224\) | 2377.22 | − | 3428.69i | 0.709083 | − | 1.02272i | ||||
\(225\) | −3170.91 | + | 520.778i | −0.939529 | + | 0.154305i | ||||
\(226\) | −1782.50 | + | 1915.05i | −0.524646 | + | 0.563660i | ||||
\(227\) | 1768.32 | − | 643.616i | 0.517037 | − | 0.188186i | −0.0703038 | − | 0.997526i | \(-0.522397\pi\) |
0.587341 | + | 0.809339i | \(0.300175\pi\) | |||||||
\(228\) | −2000.53 | + | 1606.71i | −0.581089 | + | 0.466698i | ||||
\(229\) | 1229.04 | − | 1031.29i | 0.354660 | − | 0.297595i | −0.447998 | − | 0.894035i | \(-0.647863\pi\) |
0.802658 | + | 0.596439i | \(0.203418\pi\) | |||||||
\(230\) | 618.991 | + | 401.163i | 0.177457 | + | 0.115008i | ||||
\(231\) | 167.434 | + | 242.135i | 0.0476897 | + | 0.0689669i | ||||
\(232\) | 457.578 | + | 156.136i | 0.129489 | + | 0.0441847i | ||||
\(233\) | −3250.69 | + | 1876.79i | −0.913990 | + | 0.527693i | −0.881713 | − | 0.471786i | \(-0.843609\pi\) |
−0.0322774 | + | 0.999479i | \(0.510276\pi\) | |||||||
\(234\) | −882.018 | + | 2016.92i | −0.246407 | + | 0.563463i | ||||
\(235\) | 1045.17 | + | 603.427i | 0.290124 | + | 0.167503i | ||||
\(236\) | 2823.35 | + | 6309.88i | 0.778748 | + | 1.74042i | ||||
\(237\) | 4871.36 | + | 1336.00i | 1.33514 | + | 0.366171i | ||||
\(238\) | 3230.59 | + | 166.309i | 0.879866 | + | 0.0452951i | ||||
\(239\) | 244.281 | + | 1385.39i | 0.0661140 | + | 0.374951i | 0.999855 | + | 0.0170028i | \(0.00541241\pi\) |
−0.933741 | + | 0.357948i | \(0.883476\pi\) | |||||||
\(240\) | −40.8161 | − | 812.580i | −0.0109778 | − | 0.218549i | ||||
\(241\) | 4952.52 | + | 4155.66i | 1.32373 | + | 1.11074i | 0.985499 | + | 0.169683i | \(0.0542742\pi\) |
0.338235 | + | 0.941062i | \(0.390170\pi\) | |||||||
\(242\) | 3582.78 | − | 1098.99i | 0.951694 | − | 0.291926i | ||||
\(243\) | 3165.42 | − | 2080.63i | 0.835645 | − | 0.549270i | ||||
\(244\) | 2459.72 | − | 1665.73i | 0.645357 | − | 0.437040i | ||||
\(245\) | −295.998 | + | 352.757i | −0.0771862 | + | 0.0919870i | ||||
\(246\) | −3933.16 | + | 3506.34i | −1.01939 | + | 0.908766i | ||||
\(247\) | −1752.24 | + | 308.967i | −0.451385 | + | 0.0795914i | ||||
\(248\) | 1422.71 | + | 2352.96i | 0.364284 | + | 0.602473i | ||||
\(249\) | −481.958 | + | 1757.33i | −0.122662 | + | 0.447254i | ||||
\(250\) | 1675.77 | − | 207.333i | 0.423939 | − | 0.0524516i | ||||
\(251\) | −303.237 | + | 525.221i | −0.0762555 | + | 0.132078i | −0.901632 | − | 0.432505i | \(-0.857630\pi\) |
0.825376 | + | 0.564583i | \(0.190963\pi\) | |||||||
\(252\) | −4945.76 | − | 569.369i | −1.23632 | − | 0.142329i | ||||
\(253\) | 131.010 | + | 226.916i | 0.0325554 | + | 0.0563877i | ||||
\(254\) | 2156.86 | + | 2856.75i | 0.532809 | + | 0.705702i | ||||
\(255\) | 518.857 | − | 358.783i | 0.127420 | − | 0.0881093i | ||||
\(256\) | −4088.03 | − | 255.452i | −0.998053 | − | 0.0623663i | ||||
\(257\) | −2478.71 | − | 2954.01i | −0.601624 | − | 0.716988i | 0.376171 | − | 0.926550i | \(-0.377241\pi\) |
−0.977795 | + | 0.209562i | \(0.932796\pi\) | |||||||
\(258\) | −4066.49 | + | 1619.60i | −0.981273 | + | 0.390822i | ||||
\(259\) | 2313.53 | + | 6356.37i | 0.555041 | + | 1.52496i | ||||
\(260\) | 246.383 | − | 507.543i | 0.0587694 | − | 0.121063i | ||||
\(261\) | −93.4974 | − | 569.286i | −0.0221737 | − | 0.135011i | ||||
\(262\) | 1406.91 | − | 6119.86i | 0.331754 | − | 1.44308i | ||||
\(263\) | 566.438 | − | 3212.43i | 0.132806 | − | 0.753182i | −0.843556 | − | 0.537041i | \(-0.819542\pi\) |
0.976362 | − | 0.216141i | \(-0.0693470\pi\) | |||||||
\(264\) | 118.369 | − | 263.660i | 0.0275951 | − | 0.0614665i | ||||
\(265\) | −604.365 | − | 219.971i | −0.140097 | − | 0.0509913i | ||||
\(266\) | −1830.12 | − | 3583.60i | −0.421849 | − | 0.826033i | ||||
\(267\) | −475.800 | + | 5093.58i | −0.109058 | + | 1.16750i | ||||
\(268\) | −127.271 | + | 1232.86i | −0.0290087 | + | 0.281004i | ||||
\(269\) | − | 4773.10i | − | 1.08186i | −0.841067 | − | 0.540932i | \(-0.818072\pi\) | ||
0.841067 | − | 0.540932i | \(-0.181928\pi\) | |||||||
\(270\) | −831.785 | + | 500.641i | −0.187484 | + | 0.112845i | ||||
\(271\) | 2638.20i | 0.591363i | 0.955287 | + | 0.295682i | \(0.0955467\pi\) | ||||
−0.955287 | + | 0.295682i | \(0.904453\pi\) | |||||||
\(272\) | −1501.32 | − | 2798.53i | −0.334673 | − | 0.623845i | ||||
\(273\) | −2816.22 | − | 1996.70i | −0.624342 | − | 0.442658i | ||||
\(274\) | 11.1764 | − | 5.70768i | 0.00246419 | − | 0.00125844i | ||||
\(275\) | 274.906 | + | 100.058i | 0.0602817 | + | 0.0219407i | ||||
\(276\) | −4346.21 | − | 862.979i | −0.947866 | − | 0.188207i | ||||
\(277\) | 264.657 | − | 1500.95i | 0.0574069 | − | 0.325571i | −0.942557 | − | 0.334045i | \(-0.891586\pi\) |
0.999964 | + | 0.00847413i | \(0.00269743\pi\) | |||||||
\(278\) | −4558.75 | − | 1048.03i | −0.983510 | − | 0.226102i | ||||
\(279\) | 1673.77 | − | 2821.95i | 0.359161 | − | 0.605541i | ||||
\(280\) | 1260.76 | + | 196.097i | 0.269090 | + | 0.0418538i | ||||
\(281\) | −1877.35 | − | 5157.97i | −0.398552 | − | 1.09501i | −0.962990 | − | 0.269537i | \(-0.913129\pi\) |
0.564438 | − | 0.825475i | \(-0.309093\pi\) | |||||||
\(282\) | −7174.22 | − | 1044.50i | −1.51496 | − | 0.220565i | ||||
\(283\) | 3656.28 | + | 4357.39i | 0.767998 | + | 0.915264i | 0.998325 | − | 0.0578489i | \(-0.0184242\pi\) |
−0.230327 | + | 0.973113i | \(0.573980\pi\) | |||||||
\(284\) | −983.986 | + | 3455.70i | −0.205594 | + | 0.722036i | ||||
\(285\) | −709.205 | − | 335.794i | −0.147402 | − | 0.0697920i | ||||
\(286\) | 159.944 | − | 120.759i | 0.0330689 | − | 0.0249673i | ||||
\(287\) | −4131.65 | − | 7156.23i | −0.849769 | − | 1.47184i | ||||
\(288\) | 2033.96 | + | 4444.20i | 0.416154 | + | 0.909294i | ||||
\(289\) | −1225.33 | + | 2122.34i | −0.249406 | + | 0.431984i | ||||
\(290\) | 18.1551 | + | 146.739i | 0.00367623 | + | 0.0297130i | ||||
\(291\) | 4198.63 | + | 4248.26i | 0.845802 | + | 0.855798i | ||||
\(292\) | 6103.25 | − | 1533.72i | 1.22317 | − | 0.307377i | ||||
\(293\) | 6306.43 | − | 1111.99i | 1.25743 | − | 0.221718i | 0.495056 | − | 0.868861i | \(-0.335147\pi\) |
0.762369 | + | 0.647143i | \(0.224036\pi\) | |||||||
\(294\) | 867.839 | − | 2626.63i | 0.172154 | − | 0.521048i | ||||
\(295\) | −1358.87 | + | 1619.44i | −0.268192 | + | 0.319619i | ||||
\(296\) | 4164.84 | − | 5172.46i | 0.817826 | − | 1.01569i | ||||
\(297\) | −344.025 | + | 23.9973i | −0.0672134 | + | 0.00468843i | ||||
\(298\) | −340.743 | − | 1110.84i | −0.0662374 | − | 0.215937i | ||||
\(299\) | −2353.80 | − | 1975.07i | −0.455264 | − | 0.382011i | ||||
\(300\) | −4336.65 | + | 2381.09i | −0.834590 | + | 0.458241i | ||||
\(301\) | −1191.99 | − | 6760.11i | −0.228256 | − | 1.29451i | ||||
\(302\) | −194.470 | + | 3777.61i | −0.0370545 | + | 0.719792i | ||||
\(303\) | −1565.81 | − | 5984.08i | −0.296876 | − | 1.13458i | ||||
\(304\) | −2080.97 | + | 3357.86i | −0.392605 | + | 0.633508i | ||||
\(305\) | 786.767 | + | 454.240i | 0.147705 | + | 0.0852778i | ||||
\(306\) | −2098.19 | + | 3155.62i | −0.391979 | + | 0.589526i | ||||
\(307\) | 2923.34 | − | 1687.79i | 0.543465 | − | 0.313770i | −0.203017 | − | 0.979175i | \(-0.565075\pi\) |
0.746482 | + | 0.665406i | \(0.231741\pi\) | |||||||
\(308\) | 367.170 | + | 265.727i | 0.0679268 | + | 0.0491598i | ||||
\(309\) | 9501.49 | − | 775.052i | 1.74926 | − | 0.142690i | ||||
\(310\) | −457.328 | + | 705.652i | −0.0837886 | + | 0.129285i | ||||
\(311\) | 1250.96 | − | 1049.68i | 0.228089 | − | 0.191389i | −0.521580 | − | 0.853202i | \(-0.674657\pi\) |
0.749669 | + | 0.661813i | \(0.230213\pi\) | |||||||
\(312\) | −246.890 | + | 3380.19i | −0.0447994 | + | 0.613352i | ||||
\(313\) | 6675.08 | − | 2429.53i | 1.20542 | − | 0.438739i | 0.340310 | − | 0.940313i | \(-0.389468\pi\) |
0.865114 | + | 0.501575i | \(0.167246\pi\) | |||||||
\(314\) | −585.294 | − | 544.783i | −0.105191 | − | 0.0979105i | ||||
\(315\) | −503.875 | − | 1436.69i | −0.0901274 | − | 0.256978i | ||||
\(316\) | 7756.94 | − | 556.853i | 1.38089 | − | 0.0991311i | ||||
\(317\) | −7470.32 | − | 1317.22i | −1.32358 | − | 0.233383i | −0.533194 | − | 0.845993i | \(-0.679008\pi\) |
−0.790385 | + | 0.612610i | \(0.790120\pi\) | |||||||
\(318\) | 3861.83 | − | 115.725i | 0.681009 | − | 0.0204074i | ||||
\(319\) | −17.9637 | + | 49.3550i | −0.00315290 | + | 0.00866253i | ||||
\(320\) | −475.686 | − | 1158.79i | −0.0830990 | − | 0.202432i | ||||
\(321\) | 3217.09 | + | 7006.24i | 0.559378 | + | 1.21823i | ||||
\(322\) | 2709.24 | − | 6399.04i | 0.468883 | − | 1.10747i | ||||
\(323\) | −3062.92 | −0.527632 | ||||||||
\(324\) | 3529.29 | − | 4642.88i | 0.605160 | − | 0.796104i | ||||
\(325\) | −3430.68 | −0.585538 | ||||||||
\(326\) | −1679.91 | + | 3967.84i | −0.285405 | + | 0.674105i | ||||
\(327\) | −4032.21 | − | 8781.43i | −0.681901 | − | 1.48506i | ||||
\(328\) | −3913.26 | + | 7106.18i | −0.658761 | + | 1.19626i | ||||
\(329\) | 3888.59 | − | 10683.8i | 0.651626 | − | 1.79033i | ||||
\(330\) | 88.3451 | − | 2.64738i | 0.0147371 | − | 0.000441617i | ||||
\(331\) | 147.613 | + | 26.0281i | 0.0245122 | + | 0.00432216i | 0.185891 | − | 0.982570i | \(-0.440483\pi\) |
−0.161379 | + | 0.986893i | \(0.551594\pi\) | |||||||
\(332\) | 200.883 | + | 2798.29i | 0.0332075 | + | 0.462579i | ||||
\(333\) | −7786.99 | − | 1467.60i | −1.28146 | − | 0.241513i | ||||
\(334\) | 3491.99 | + | 3250.29i | 0.572075 | + | 0.532479i | ||||
\(335\) | −356.175 | + | 129.637i | −0.0580893 | + | 0.0211428i | ||||
\(336\) | −7472.06 | + | 1707.98i | −1.21320 | + | 0.277315i | ||||
\(337\) | 738.878 | − | 619.992i | 0.119434 | − | 0.100217i | −0.581115 | − | 0.813822i | \(-0.697383\pi\) |
0.700549 | + | 0.713605i | \(0.252939\pi\) | |||||||
\(338\) | 2101.40 | − | 3242.45i | 0.338170 | − | 0.521792i | ||||
\(339\) | 4790.43 | − | 390.763i | 0.767494 | − | 0.0626058i | ||||
\(340\) | 569.410 | − | 786.785i | 0.0908253 | − | 0.125498i | ||||
\(341\) | −258.685 | + | 149.352i | −0.0410809 | + | 0.0237180i | ||||
\(342\) | 4704.38 | + | 297.638i | 0.743813 | + | 0.0470597i | ||||
\(343\) | −3089.43 | − | 1783.68i | −0.486337 | − | 0.280787i | ||||
\(344\) | −5073.74 | + | 4435.33i | −0.795225 | + | 0.695166i | ||||
\(345\) | −343.028 | − | 1310.96i | −0.0535305 | − | 0.204578i | ||||
\(346\) | −30.9417 | + | 601.049i | −0.00480762 | + | 0.0933890i | ||||
\(347\) | −1662.33 | − | 9427.54i | −0.257172 | − | 1.45849i | −0.790436 | − | 0.612544i | \(-0.790146\pi\) |
0.533264 | − | 0.845949i | \(-0.320965\pi\) | |||||||
\(348\) | −427.486 | − | 778.577i | −0.0658496 | − | 0.119931i | ||||
\(349\) | −268.124 | − | 224.982i | −0.0411241 | − | 0.0345073i | 0.621994 | − | 0.783022i | \(-0.286323\pi\) |
−0.663118 | + | 0.748515i | \(0.730767\pi\) | |||||||
\(350\) | −2275.26 | − | 7417.47i | −0.347479 | − | 1.13280i | ||||
\(351\) | 3694.78 | − | 1644.26i | 0.561860 | − | 0.250041i | ||||
\(352\) | 36.7288 | − | 443.444i | 0.00556150 | − | 0.0671468i | ||||
\(353\) | −4531.40 | + | 5400.32i | −0.683236 | + | 0.814249i | −0.990520 | − | 0.137369i | \(-0.956135\pi\) |
0.307284 | + | 0.951618i | \(0.400580\pi\) | |||||||
\(354\) | 3984.09 | − | 12058.4i | 0.598170 | − | 1.81044i | ||||
\(355\) | −1082.13 | + | 190.808i | −0.161784 | + | 0.0285269i | ||||
\(356\) | 1919.58 | + | 7638.72i | 0.285779 | + | 1.13722i | ||||
\(357\) | −4177.46 | − | 4226.83i | −0.619313 | − | 0.626632i | ||||
\(358\) | 180.626 | + | 1459.91i | 0.0266659 | + | 0.215526i | ||||
\(359\) | −5309.26 | + | 9195.91i | −0.780535 | + | 1.35193i | 0.151096 | + | 0.988519i | \(0.451720\pi\) |
−0.931631 | + | 0.363407i | \(0.881613\pi\) | |||||||
\(360\) | −951.022 | + | 1153.10i | −0.139231 | + | 0.168816i | ||||
\(361\) | −1524.51 | − | 2640.53i | −0.222264 | − | 0.384973i | ||||
\(362\) | 6967.46 | − | 5260.48i | 1.01161 | − | 0.763770i | ||||
\(363\) | −6222.44 | − | 2946.20i | −0.899706 | − | 0.425993i | ||||
\(364\) | −5111.87 | − | 1455.57i | −0.736084 | − | 0.209594i | ||||
\(365\) | 1237.05 | + | 1474.26i | 0.177398 | + | 0.211415i | ||||
\(366\) | −5400.53 | − | 786.270i | −0.771285 | − | 0.112292i | ||||
\(367\) | 3743.72 | + | 10285.8i | 0.532481 | + | 1.46298i | 0.856109 | + | 0.516796i | \(0.172875\pi\) |
−0.323627 | + | 0.946185i | \(0.604902\pi\) | |||||||
\(368\) | −6752.11 | + | 974.458i | −0.956462 | + | 0.138036i | ||||
\(369\) | 9679.43 | + | 113.738i | 1.36556 | + | 0.0160459i | ||||
\(370\) | 1979.24 | + | 455.014i | 0.278097 | + | 0.0639326i | ||||
\(371\) | −1052.13 | + | 5966.93i | −0.147234 | + | 0.835007i | ||||
\(372\) | 983.799 | − | 4954.70i | 0.137117 | − | 0.690562i | ||||
\(373\) | 877.263 | + | 319.298i | 0.121777 | + | 0.0443233i | 0.402190 | − | 0.915556i | \(-0.368249\pi\) |
−0.280413 | + | 0.959880i | \(0.590471\pi\) | |||||||
\(374\) | 307.251 | − | 156.911i | 0.0424801 | − | 0.0216943i | ||||
\(375\) | −2530.56 | − | 1794.16i | −0.348473 | − | 0.247067i | ||||
\(376\) | −10950.9 | + | 2160.21i | −1.50199 | + | 0.296288i | ||||
\(377\) | − | 615.923i | − | 0.0841423i | ||||||
\(378\) | 6005.48 | + | 6898.00i | 0.817166 | + | 0.938611i | ||||
\(379\) | 3823.00i | 0.518138i | 0.965859 | + | 0.259069i | \(0.0834158\pi\) | ||||
−0.965859 | + | 0.259069i | \(0.916584\pi\) | |||||||
\(380\) | −1201.71 | − | 124.056i | −0.162228 | − | 0.0167472i | ||||
\(381\) | 611.615 | − | 6547.52i | 0.0822414 | − | 0.880419i | ||||
\(382\) | 2877.69 | + | 5634.89i | 0.385433 | + | 0.754728i | ||||
\(383\) | 3918.78 | + | 1426.32i | 0.522820 | + | 0.190291i | 0.589930 | − | 0.807455i | \(-0.299155\pi\) |
−0.0671094 | + | 0.997746i | \(0.521378\pi\) | |||||||
\(384\) | 5230.47 | + | 5409.74i | 0.695094 | + | 0.718919i | ||||
\(385\) | −24.0690 | + | 136.502i | −0.00318616 | + | 0.0180696i | ||||
\(386\) | −3214.39 | + | 13982.1i | −0.423855 | + | 1.84370i | ||||
\(387\) | 7523.55 | + | 2838.89i | 0.988226 | + | 0.372892i | ||||
\(388\) | 8272.73 | + | 4015.94i | 1.08243 | + | 0.525460i | ||||
\(389\) | 246.304 | + | 676.714i | 0.0321031 | + | 0.0882024i | 0.954709 | − | 0.297542i | \(-0.0961669\pi\) |
−0.922606 | + | 0.385744i | \(0.873945\pi\) | |||||||
\(390\) | −962.912 | + | 383.509i | −0.125023 | + | 0.0497942i | ||||
\(391\) | −3399.98 | − | 4051.94i | −0.439756 | − | 0.524081i | ||||
\(392\) | −86.1561 | − | 4258.10i | −0.0111009 | − | 0.548639i | ||||
\(393\) | −9488.59 | + | 6561.25i | −1.21790 | + | 0.842166i | ||||
\(394\) | −9231.63 | − | 12227.2i | −1.18041 | − | 1.56345i | ||||
\(395\) | 1189.15 | + | 2059.68i | 0.151476 | + | 0.262363i | ||||
\(396\) | −487.159 | + | 211.145i | −0.0618199 | + | 0.0267940i | ||||
\(397\) | −7143.32 | + | 12372.6i | −0.903055 | + | 1.56414i | −0.0795489 | + | 0.996831i | \(0.525348\pi\) |
−0.823506 | + | 0.567307i | \(0.807985\pi\) | |||||||
\(398\) | 5143.57 | − | 636.385i | 0.647798 | − | 0.0801484i | ||||
\(399\) | −1955.19 | + | 7129.08i | −0.245318 | + | 0.894487i | ||||
\(400\) | −5075.72 | + | 5679.31i | −0.634465 | + | 0.709914i | ||||
\(401\) | 4585.56 | − | 808.558i | 0.571052 | − | 0.100692i | 0.119337 | − | 0.992854i | \(-0.461923\pi\) |
0.451716 | + | 0.892162i | \(0.350812\pi\) | |||||||
\(402\) | 1699.62 | − | 1515.18i | 0.210869 | − | 0.187986i | ||||
\(403\) | 2251.59 | − | 2683.34i | 0.278312 | − | 0.331679i | ||||
\(404\) | −5339.95 | − | 7885.27i | −0.657606 | − | 0.971057i | ||||
\(405\) | 1748.67 | + | 350.892i | 0.214548 | + | 0.0430518i | ||||
\(406\) | 1331.69 | − | 408.486i | 0.162785 | − | 0.0499331i | ||||
\(407\) | 552.634 | + | 463.715i | 0.0673048 | + | 0.0564755i | ||||
\(408\) | −1428.98 | + | 5656.62i | −0.173395 | + | 0.686384i | ||||
\(409\) | −163.380 | − | 926.576i | −0.0197522 | − | 0.112020i | 0.973338 | − | 0.229377i | \(-0.0736689\pi\) |
−0.993090 | + | 0.117357i | \(0.962558\pi\) | |||||||
\(410\) | −2477.64 | − | 127.547i | −0.298443 | − | 0.0153637i | ||||
\(411\) | −22.2338 | − | 6.09775i | −0.00266840 | − | 0.000731824i | ||||
\(412\) | 13397.1 | − | 5994.52i | 1.60201 | − | 0.716818i | ||||
\(413\) | 17247.6 | + | 9957.91i | 2.05496 | + | 1.18643i | ||||
\(414\) | 4828.34 | + | 6553.84i | 0.573189 | + | 0.778028i | ||||
\(415\) | −743.022 | + | 428.984i | −0.0878879 | + | 0.0507421i | ||||
\(416\) | 1373.84 | + | 5033.91i | 0.161918 | + | 0.593288i | ||||
\(417\) | 4887.55 | + | 7068.16i | 0.573967 | + | 0.830046i | ||||
\(418\) | −360.128 | − | 233.396i | −0.0421398 | − | 0.0273105i | ||||
\(419\) | 452.713 | − | 379.871i | 0.0527839 | − | 0.0442910i | −0.616014 | − | 0.787735i | \(-0.711254\pi\) |
0.668798 | + | 0.743444i | \(0.266809\pi\) | |||||||
\(420\) | −1467.80 | − | 1827.57i | −0.170527 | − | 0.212324i | ||||
\(421\) | −13377.5 | + | 4869.00i | −1.54864 | + | 0.563659i | −0.968098 | − | 0.250570i | \(-0.919382\pi\) |
−0.580543 | + | 0.814230i | \(0.697160\pi\) | |||||||
\(422\) | 2763.02 | − | 2968.48i | 0.318724 | − | 0.342425i | ||||
\(423\) | 8440.72 | + | 10302.7i | 0.970217 | + | 1.18424i | ||||
\(424\) | 5547.32 | − | 2147.11i | 0.635381 | − | 0.245927i | ||||
\(425\) | −5816.01 | − | 1025.52i | −0.663807 | − | 0.117047i | ||||
\(426\) | 5615.11 | − | 3470.19i | 0.638622 | − | 0.394674i | ||||
\(427\) | 2927.21 | − | 8042.44i | 0.331751 | − | 0.911478i | ||||
\(428\) | 8261.13 | + | 8523.01i | 0.932983 | + | 0.962559i | ||||
\(429\) | −366.584 | − | 34.2433i | −0.0412561 | − | 0.00385380i | ||||
\(430\) | −1897.83 | − | 803.509i | −0.212841 | − | 0.0901131i | ||||
\(431\) | 546.827 | 0.0611130 | 0.0305565 | − | 0.999533i | \(-0.490272\pi\) | ||||
0.0305565 | + | 0.999533i | \(0.490272\pi\) | |||||||
\(432\) | 2744.47 | − | 8549.24i | 0.305656 | − | 0.952142i | ||||
\(433\) | 12455.3 | 1.38236 | 0.691180 | − | 0.722683i | \(-0.257091\pi\) | ||||
0.691180 | + | 0.722683i | \(0.257091\pi\) | |||||||
\(434\) | 7294.93 | + | 3088.55i | 0.806839 | + | 0.341602i | ||||
\(435\) | 157.106 | − | 221.588i | 0.0173164 | − | 0.0244238i | ||||
\(436\) | −10354.3 | − | 10682.5i | −1.13734 | − | 1.17339i | ||||
\(437\) | −2250.34 | + | 6182.77i | −0.246335 | + | 0.676800i | ||||
\(438\) | −10180.8 | − | 5478.02i | −1.11063 | − | 0.597602i | ||||
\(439\) | −2619.71 | − | 461.925i | −0.284811 | − | 0.0502198i | 0.0294179 | − | 0.999567i | \(-0.490635\pi\) |
−0.314228 | + | 0.949347i | \(0.601746\pi\) | |||||||
\(440\) | 126.903 | − | 49.1183i | 0.0137497 | − | 0.00532188i | ||||
\(441\) | −4430.68 | + | 2489.11i | −0.478424 | + | 0.268773i | ||||
\(442\) | −2756.45 | + | 2961.43i | −0.296632 | + | 0.318689i | ||||
\(443\) | 6997.03 | − | 2546.71i | 0.750427 | − | 0.273133i | 0.0616414 | − | 0.998098i | \(-0.480366\pi\) |
0.688785 | + | 0.724965i | \(0.258144\pi\) | |||||||
\(444\) | −12057.3 | + | 1859.99i | −1.28877 | + | 0.198809i | ||||
\(445\) | −1845.16 | + | 1548.27i | −0.196559 | + | 0.164933i | ||||
\(446\) | 9972.16 | + | 6462.88i | 1.05873 | + | 0.686158i | ||||
\(447\) | −913.470 | + | 1929.27i | −0.0966569 | + | 0.204142i | ||||
\(448\) | −9972.67 | + | 6308.91i | −1.05171 | + | 0.665331i | ||||
\(449\) | −8641.82 | + | 4989.36i | −0.908313 | + | 0.524415i | −0.879888 | − | 0.475181i | \(-0.842383\pi\) |
−0.0284252 | + | 0.999596i | \(0.509049\pi\) | |||||||
\(450\) | 8833.25 | + | 2140.28i | 0.925340 | + | 0.224208i | ||||
\(451\) | −763.212 | − | 440.641i | −0.0796857 | − | 0.0460065i | ||||
\(452\) | 6754.51 | − | 3022.30i | 0.702888 | − | 0.314507i | ||||
\(453\) | 4942.54 | − | 4884.81i | 0.512629 | − | 0.506641i | ||||
\(454\) | −5315.51 | − | 273.640i | −0.549492 | − | 0.0282876i | ||||
\(455\) | −282.254 | − | 1600.74i | −0.0290819 | − | 0.164932i | ||||
\(456\) | 6982.38 | − | 1978.78i | 0.717061 | − | 0.203212i | ||||
\(457\) | 832.764 | + | 698.772i | 0.0852408 | + | 0.0715255i | 0.684412 | − | 0.729095i | \(-0.260059\pi\) |
−0.599172 | + | 0.800621i | \(0.704503\pi\) | |||||||
\(458\) | −4338.40 | + | 1330.78i | −0.442621 | + | 0.135771i | ||||
\(459\) | 6755.26 | − | 1683.04i | 0.686947 | − | 0.171150i | ||||
\(460\) | −1169.85 | − | 1727.46i | −0.118575 | − | 0.175094i | ||||
\(461\) | −8443.22 | + | 10062.2i | −0.853015 | + | 1.01658i | 0.146610 | + | 0.989194i | \(0.453164\pi\) |
−0.999625 | + | 0.0273895i | \(0.991281\pi\) | |||||||
\(462\) | −169.085 | − | 815.303i | −0.0170272 | − | 0.0821025i | ||||
\(463\) | −7493.89 | + | 1321.38i | −0.752204 | + | 0.132634i | −0.536588 | − | 0.843844i | \(-0.680287\pi\) |
−0.215616 | + | 0.976478i | \(0.569176\pi\) | |||||||
\(464\) | −1019.63 | − | 911.264i | −0.102015 | − | 0.0911733i | ||||
\(465\) | 1494.50 | − | 391.053i | 0.149044 | − | 0.0389993i | ||||
\(466\) | 10536.4 | − | 1303.61i | 1.04740 | − | 0.129589i | ||||
\(467\) | −3888.42 | + | 6734.94i | −0.385299 | + | 0.667357i | −0.991811 | − | 0.127717i | \(-0.959235\pi\) |
0.606512 | + | 0.795075i | \(0.292568\pi\) | |||||||
\(468\) | 4521.46 | − | 4280.65i | 0.446591 | − | 0.422805i | ||||
\(469\) | 1785.39 | + | 3092.39i | 0.175782 | + | 0.304464i | ||||
\(470\) | −2056.82 | − | 2724.24i | −0.201859 | − | 0.267361i | ||||
\(471\) | 119.429 | + | 1464.09i | 0.0116836 | + | 0.143231i | ||||
\(472\) | −395.527 | − | 19548.2i | −0.0385712 | − | 1.90631i | ||||
\(473\) | −470.577 | − | 560.812i | −0.0457445 | − | 0.0545162i | ||||
\(474\) | −11214.7 | − | 8851.61i | −1.08673 | − | 0.857739i | ||||
\(475\) | 2512.54 | + | 6903.14i | 0.242701 | + | 0.666817i | ||||
\(476\) | −8231.01 | − | 3995.68i | −0.792579 | − | 0.384752i | ||||
\(477\) | −5383.27 | − | 4625.96i | −0.516736 | − | 0.444043i | ||||
\(478\) | 891.472 | − | 3877.76i | 0.0853033 | − | 0.371056i | ||||
\(479\) | −446.530 | + | 2532.40i | −0.0425939 | + | 0.241562i | −0.998670 | − | 0.0515564i | \(-0.983582\pi\) |
0.956076 | + | 0.293118i | \(0.0946929\pi\) | |||||||
\(480\) | −789.758 | + | 2161.46i | −0.0750987 | + | 0.205535i | ||||
\(481\) | −7949.71 | − | 2893.46i | −0.753587 | − | 0.274283i | ||||
\(482\) | −8316.72 | − | 16285.2i | −0.785926 | − | 1.53894i | ||||
\(483\) | −11601.4 | + | 5327.09i | −1.09293 | + | 0.501844i | ||||
\(484\) | −10543.6 | − | 1088.45i | −0.990198 | − | 0.102221i | ||||
\(485\) | 2812.28i | 0.263297i | ||||||||
\(486\) | −10539.1 | + | 1928.57i | −0.983666 | + | 0.180004i | ||||
\(487\) | − | 17036.0i | − | 1.58517i | −0.609764 | − | 0.792583i | \(-0.708736\pi\) | ||
0.609764 | − | 0.792583i | \(-0.291264\pi\) | |||||||
\(488\) | −8243.46 | + | 1626.14i | −0.764680 | + | 0.150844i | ||||
\(489\) | 7193.68 | − | 3303.15i | 0.665254 | − | 0.305468i | ||||
\(490\) | 1159.96 | − | 592.381i | 0.106942 | − | 0.0546144i | ||||
\(491\) | 677.386 | + | 246.548i | 0.0622607 | + | 0.0226611i | 0.372963 | − | 0.927846i | \(-0.378342\pi\) |
−0.310702 | + | 0.950507i | \(0.600564\pi\) | |||||||
\(492\) | 14110.9 | − | 4795.36i | 1.29303 | − | 0.439414i | ||||
\(493\) | 184.116 | − | 1044.17i | 0.0168198 | − | 0.0953897i | ||||
\(494\) | 4904.59 | + | 1127.53i | 0.446697 | + | 0.102693i | ||||
\(495\) | −123.150 | − | 105.826i | −0.0111822 | − | 0.00960911i | ||||
\(496\) | −1110.89 | − | 7697.43i | −0.100565 | − | 0.696824i | ||||
\(497\) | 3540.50 | + | 9727.44i | 0.319544 | + | 0.877939i | ||||
\(498\) | 3193.19 | − | 4045.67i | 0.287330 | − | 0.364038i | ||||
\(499\) | −13150.8 | − | 15672.5i | −1.17978 | − | 1.40601i | −0.894208 | − | 0.447652i | \(-0.852260\pi\) |
−0.285574 | − | 0.958357i | \(-0.592184\pi\) | |||||||
\(500\) | −4593.34 | − | 1307.92i | −0.410841 | − | 0.116984i | ||||
\(501\) | −712.536 | − | 8735.09i | −0.0635405 | − | 0.778952i | ||||
\(502\) | 1369.00 | − | 1033.60i | 0.121716 | − | 0.0918961i | ||||
\(503\) | −4317.54 | − | 7478.20i | −0.382723 | − | 0.662896i | 0.608727 | − | 0.793379i | \(-0.291680\pi\) |
−0.991450 | + | 0.130484i | \(0.958347\pi\) | |||||||
\(504\) | 12253.9 | + | 6936.88i | 1.08300 | + | 0.613082i | ||||
\(505\) | 1456.19 | − | 2522.19i | 0.128316 | − | 0.222250i | ||||
\(506\) | −90.9988 | − | 735.496i | −0.00799484 | − | 0.0646182i | ||||
\(507\) | −6867.15 | + | 1796.88i | −0.601540 | + | 0.157400i | ||||
\(508\) | −2467.51 | − | 9819.16i | −0.215508 | − | 0.857588i | ||||
\(509\) | 9860.48 | − | 1738.67i | 0.858660 | − | 0.151405i | 0.273052 | − | 0.961999i | \(-0.411967\pi\) |
0.585608 | + | 0.810594i | \(0.300856\pi\) | |||||||
\(510\) | −1747.06 | + | 362.322i | −0.151689 | + | 0.0314586i | ||||
\(511\) | 11654.0 | − | 13888.7i | 1.00889 | − | 1.20235i | ||||
\(512\) | 10366.0 | + | 5173.40i | 0.894758 | + | 0.446551i | ||||
\(513\) | −6014.52 | − | 6230.36i | −0.517637 | − | 0.536213i | ||||
\(514\) | 3198.53 | + | 10427.4i | 0.274477 | + | 0.894811i | ||||
\(515\) | 3438.39 | + | 2885.15i | 0.294201 | + | 0.246864i | ||||
\(516\) | 12377.6 | + | 265.870i | 1.05599 | + | 0.0226827i | ||||
\(517\) | −210.558 | − | 1194.13i | −0.0179117 | − | 0.101582i | ||||
\(518\) | 983.621 | − | 19107.0i | 0.0834321 | − | 1.62069i | ||||
\(519\) | 786.399 | − | 777.213i | 0.0665108 | − | 0.0657338i | ||||
\(520\) | −1201.42 | + | 1050.25i | −0.101319 | + | 0.0885703i | ||||
\(521\) | −1156.37 | − | 667.628i | −0.0972386 | − | 0.0561408i | 0.450592 | − | 0.892730i | \(-0.351213\pi\) |
−0.547831 | + | 0.836589i | \(0.684546\pi\) | |||||||
\(522\) | −384.253 | + | 1585.87i | −0.0322190 | + | 0.132972i | ||||
\(523\) | 8735.76 | − | 5043.59i | 0.730378 | − | 0.421684i | −0.0881822 | − | 0.996104i | \(-0.528106\pi\) |
0.818561 | + | 0.574420i | \(0.194772\pi\) | |||||||
\(524\) | −10413.1 | + | 14388.3i | −0.868126 | + | 1.19954i | ||||
\(525\) | −6099.55 | + | 12882.4i | −0.507059 | + | 1.07092i | ||||
\(526\) | −5017.83 | + | 7742.47i | −0.415946 | + | 0.641801i | ||||
\(527\) | 4619.23 | − | 3876.00i | 0.381816 | − | 0.320381i | ||||
\(528\) | −599.053 | + | 556.199i | −0.0493759 | + | 0.0458437i | ||||
\(529\) | 756.049 | − | 275.180i | 0.0621393 | − | 0.0226169i | ||||
\(530\) | 1331.56 | + | 1239.40i | 0.109131 | + | 0.101577i | ||||
\(531\) | −20340.5 | + | 11427.0i | −1.66234 | + | 0.933882i | ||||
\(532\) | 814.935 | + | 11352.0i | 0.0664134 | + | 0.925136i | ||||
\(533\) | 10177.6 | + | 1794.59i | 0.827097 | + | 0.145840i | ||||
\(534\) | 6856.18 | − | 12742.1i | 0.555610 | − | 1.03259i | ||||
\(535\) | −1241.51 | + | 3411.02i | −0.100327 | + | 0.275647i | ||||
\(536\) | 1691.02 | − | 3070.77i | 0.136271 | − | 0.247457i | ||||
\(537\) | 1563.05 | − | 2204.59i | 0.125606 | − | 0.177160i | ||||
\(538\) | −5263.51 | + | 12432.0i | −0.421795 | + | 0.996251i | ||||
\(539\) | 462.667 | 0.0369731 | ||||||||
\(540\) | 2718.55 | − | 386.725i | 0.216644 | − | 0.0308185i | ||||
\(541\) | −492.587 | −0.0391460 | −0.0195730 | − | 0.999808i | \(-0.506231\pi\) | ||||
−0.0195730 | + | 0.999808i | \(0.506231\pi\) | |||||||
\(542\) | 2909.26 | − | 6871.47i | 0.230560 | − | 0.544566i | ||||
\(543\) | −15969.1 | − | 1491.70i | −1.26206 | − | 0.117891i | ||||
\(544\) | 824.293 | + | 8944.63i | 0.0649655 | + | 0.704959i | ||||
\(545\) | 1556.07 | − | 4275.28i | 0.122303 | − | 0.336023i | ||||
\(546\) | 5133.29 | + | 8306.18i | 0.402353 | + | 0.651047i | ||||
\(547\) | −18111.7 | − | 3193.59i | −1.41573 | − | 0.249631i | −0.587136 | − | 0.809488i | \(-0.699745\pi\) |
−0.828589 | + | 0.559857i | \(0.810856\pi\) | |||||||
\(548\) | −35.4041 | + | 2.54158i | −0.00275983 | + | 0.000198122i | ||||
\(549\) | 6353.90 | + | 7755.56i | 0.493949 | + | 0.602913i | ||||
\(550\) | −605.683 | − | 563.761i | −0.0469571 | − | 0.0437070i | ||||
\(551\) | −1239.35 | + | 451.086i | −0.0958222 | + | 0.0348764i | ||||
\(552\) | 10368.5 | + | 7040.47i | 0.799480 | + | 0.542867i | ||||
\(553\) | 17163.6 | − | 14402.0i | 1.31984 | − | 1.10748i | ||||
\(554\) | −2344.48 | + | 3617.52i | −0.179797 | + | 0.277425i | ||||
\(555\) | −2121.99 | − | 3068.73i | −0.162295 | − | 0.234703i | ||||
\(556\) | 10718.0 | + | 7756.83i | 0.817529 | + | 0.591660i | ||||
\(557\) | −4750.98 | + | 2742.98i | −0.361410 | + | 0.208660i | −0.669699 | − | 0.742633i | \(-0.733577\pi\) |
0.308289 | + | 0.951293i | \(0.400244\pi\) | |||||||
\(558\) | −7471.40 | + | 5504.33i | −0.566827 | + | 0.417593i | ||||
\(559\) | 7434.90 | + | 4292.54i | 0.562545 | + | 0.324786i | ||||
\(560\) | −3067.54 | − | 1901.06i | −0.231478 | − | 0.143454i | ||||
\(561\) | −611.233 | − | 167.634i | −0.0460005 | − | 0.0126159i | ||||
\(562\) | −798.173 | + | 15504.7i | −0.0599091 | + | 1.16375i | ||||
\(563\) | 2753.82 | + | 15617.7i | 0.206145 | + | 1.16910i | 0.895628 | + | 0.444803i | \(0.146726\pi\) |
−0.689483 | + | 0.724301i | \(0.742162\pi\) | |||||||
\(564\) | 17534.2 | + | 10631.8i | 1.30908 | + | 0.793762i | ||||
\(565\) | 1733.56 | + | 1454.63i | 0.129082 | + | 0.108313i | ||||
\(566\) | −4718.08 | − | 15381.2i | −0.350381 | − | 1.14226i | ||||
\(567\) | 394.812 | − | 16797.5i | 0.0292426 | − | 1.24414i | ||||
\(568\) | 6373.65 | − | 7915.65i | 0.470831 | − | 0.584742i | ||||
\(569\) | 9616.84 | − | 11460.9i | 0.708539 | − | 0.844404i | −0.284925 | − | 0.958550i | \(-0.591969\pi\) |
0.993464 | + | 0.114145i | \(0.0364130\pi\) | |||||||
\(570\) | 1476.90 | + | 1656.68i | 0.108527 | + | 0.121738i | ||||
\(571\) | 7297.84 | − | 1286.81i | 0.534860 | − | 0.0943103i | 0.100307 | − | 0.994957i | \(-0.468017\pi\) |
0.434553 | + | 0.900646i | \(0.356906\pi\) | |||||||
\(572\) | −549.758 | + | 138.152i | −0.0401863 | + | 0.0100986i | ||||
\(573\) | 3074.36 | − | 11209.8i | 0.224142 | − | 0.817272i | ||||
\(574\) | 2869.82 | + | 23195.3i | 0.208683 | + | 1.68668i | ||||
\(575\) | −6343.16 | + | 10986.7i | −0.460048 | + | 0.796827i | ||||
\(576\) | −396.852 | − | 13818.3i | −0.0287075 | − | 0.999588i | ||||
\(577\) | 2019.77 | + | 3498.34i | 0.145726 | + | 0.252405i | 0.929644 | − | 0.368460i | \(-0.120115\pi\) |
−0.783917 | + | 0.620865i | \(0.786781\pi\) | |||||||
\(578\) | 5531.89 | − | 4176.61i | 0.398091 | − | 0.300561i | ||||
\(579\) | 21678.7 | − | 14990.5i | 1.55602 | − | 1.07597i | ||||
\(580\) | 114.528 | − | 402.216i | 0.00819917 | − | 0.0287950i | ||||
\(581\) | 5195.47 | + | 6191.72i | 0.370988 | + | 0.442127i | ||||
\(582\) | −6251.03 | − | 15695.0i | −0.445212 | − | 1.11784i | ||||
\(583\) | 221.010 | + | 607.220i | 0.0157003 | + | 0.0431363i | ||||
\(584\) | −17587.9 | − | 2735.59i | −1.24622 | − | 0.193835i | ||||
\(585\) | 1781.52 | + | 672.228i | 0.125909 | + | 0.0475097i | ||||
\(586\) | −17652.0 | − | 4058.07i | −1.24436 | − | 0.286071i | ||||
\(587\) | 1880.91 | − | 10667.2i | 0.132255 | − | 0.750053i | −0.844478 | − | 0.535591i | \(-0.820089\pi\) |
0.976732 | − | 0.214462i | \(-0.0687999\pi\) | |||||||
\(588\) | −5156.87 | + | 5884.32i | −0.361677 | + | 0.412696i | ||||
\(589\) | −7048.38 | − | 2565.40i | −0.493079 | − | 0.179466i | ||||
\(590\) | 5325.16 | − | 2719.52i | 0.371582 | − | 0.189764i | ||||
\(591\) | −2617.78 | + | 28024.2i | −0.182202 | + | 1.95052i | ||||
\(592\) | −16551.6 | + | 8879.45i | −1.14910 | + | 0.616458i | ||||
\(593\) | − | 24320.8i | − | 1.68421i | −0.539316 | − | 0.842104i | \(-0.681317\pi\) | ||
0.539316 | − | 0.842104i | \(-0.318683\pi\) | |||||||
\(594\) | 922.512 | + | 316.868i | 0.0637224 | + | 0.0218876i | ||||
\(595\) | − | 2798.10i | − | 0.192792i | ||||||
\(596\) | −337.473 | + | 3269.05i | −0.0231937 | + | 0.224674i | ||||
\(597\) | −7767.24 | − | 5506.97i | −0.532482 | − | 0.377530i | ||||
\(598\) | 3952.72 | + | 7739.92i | 0.270299 | + | 0.529279i | ||||
\(599\) | 12136.9 | + | 4417.47i | 0.827881 | + | 0.301324i | 0.720989 | − | 0.692947i | \(-0.243688\pi\) |
0.106892 | + | 0.994271i | \(0.465910\pi\) | |||||||
\(600\) | 13921.0 | − | 1419.57i | 0.947204 | − | 0.0965896i | ||||
\(601\) | 779.852 | − | 4422.76i | 0.0529298 | − | 0.300180i | −0.946838 | − | 0.321710i | \(-0.895743\pi\) |
0.999768 | + | 0.0215297i | \(0.00685366\pi\) | |||||||
\(602\) | −4350.01 | + | 18921.9i | −0.294507 | + | 1.28106i | ||||
\(603\) | −4182.73 | − | 49.1490i | −0.282478 | − | 0.00331924i | ||||
\(604\) | 4672.25 | − | 9624.73i | 0.314754 | − | 0.648385i | ||||
\(605\) | −1108.68 | − | 3046.07i | −0.0745027 | − | 0.204695i | ||||
\(606\) | −2520.60 | + | 17312.8i | −0.168964 | + | 1.16054i | ||||
\(607\) | 3860.79 | + | 4601.11i | 0.258163 | + | 0.307666i | 0.879521 | − | 0.475860i | \(-0.157863\pi\) |
−0.621358 | + | 0.783527i | \(0.713419\pi\) | |||||||
\(608\) | 9122.97 | − | 6451.11i | 0.608528 | − | 0.430308i | ||||
\(609\) | −2312.83 | − | 1095.08i | −0.153892 | − | 0.0728649i | ||||
\(610\) | −1548.31 | − | 2050.72i | −0.102769 | − | 0.136117i | ||||
\(611\) | 7109.73 | + | 12314.4i | 0.470751 | + | 0.815364i | ||||
\(612\) | 8944.80 | − | 5905.37i | 0.590804 | − | 0.390050i | ||||
\(613\) | 1508.67 | − | 2613.10i | 0.0994041 | − | 0.172173i | −0.812034 | − | 0.583610i | \(-0.801640\pi\) |
0.911438 | + | 0.411437i | \(0.134973\pi\) | |||||||
\(614\) | −9475.33 | + | 1172.33i | −0.622790 | + | 0.0770544i | ||||
\(615\) | 3203.82 | + | 3241.69i | 0.210066 | + | 0.212549i | ||||
\(616\) | −663.303 | − | 1097.01i | −0.0433851 | − | 0.0717528i | ||||
\(617\) | −28480.4 | + | 5021.86i | −1.85831 | + | 0.327670i | −0.986702 | − | 0.162537i | \(-0.948032\pi\) |
−0.871606 | + | 0.490207i | \(0.836921\pi\) | |||||||
\(618\) | −25602.3 | − | 8459.00i | −1.66646 | − | 0.550600i | ||||
\(619\) | 5672.80 | − | 6760.58i | 0.368351 | − | 0.438983i | −0.549751 | − | 0.835329i | \(-0.685277\pi\) |
0.918101 | + | 0.396345i | \(0.129722\pi\) | |||||||
\(620\) | 1969.31 | − | 1333.63i | 0.127564 | − | 0.0863868i | ||||
\(621\) | 1565.76 | − | 14872.6i | 0.101178 | − | 0.961060i | ||||
\(622\) | −4415.80 | + | 1354.52i | −0.284658 | + | 0.0873170i | ||||
\(623\) | 17382.8 | + | 14585.9i | 1.11786 | + | 0.937996i | ||||
\(624\) | 4370.54 | − | 8531.81i | 0.280387 | − | 0.547349i | ||||
\(625\) | 2329.71 | + | 13212.4i | 0.149101 | + | 0.845595i | ||||
\(626\) | −20065.1 | − | 1032.94i | −1.28109 | − | 0.0659498i | ||||
\(627\) | 199.573 | + | 762.713i | 0.0127116 | + | 0.0485803i | ||||
\(628\) | 923.702 | + | 2064.37i | 0.0586938 | + | 0.131174i | ||||
\(629\) | −12612.2 | − | 7281.64i | −0.799492 | − | 0.461587i | ||||
\(630\) | −271.905 | + | 4297.65i | −0.0171951 | + | 0.271782i | ||||
\(631\) | 8485.45 | − | 4899.08i | 0.535341 | − | 0.309079i | −0.207847 | − | 0.978161i | \(-0.566646\pi\) |
0.743189 | + | 0.669082i | \(0.233312\pi\) | |||||||
\(632\) | −20817.8 | − | 7103.53i | −1.31027 | − | 0.447094i | ||||
\(633\) | −7425.55 | + | 605.715i | −0.466254 | + | 0.0380332i | ||||
\(634\) | 18004.7 | + | 11668.7i | 1.12785 | + | 0.730950i | ||||
\(635\) | 2371.85 | − | 1990.22i | 0.148227 | − | 0.124377i | ||||
\(636\) | −10186.2 | − | 3957.19i | −0.635074 | − | 0.246718i | ||||
\(637\) | −5098.42 | + | 1855.67i | −0.317122 | + | 0.115423i | ||||
\(638\) | 101.214 | − | 108.741i | 0.00628074 | − | 0.00674778i | ||||
\(639\) | −11916.8 | − | 2245.93i | −0.737748 | − | 0.139042i | ||||
\(640\) | −38.8751 | + | 3542.75i | −0.00240105 | + | 0.218812i | ||||
\(641\) | −16886.6 | − | 2977.57i | −1.04053 | − | 0.183474i | −0.372829 | − | 0.927900i | \(-0.621612\pi\) |
−0.667705 | + | 0.744426i | \(0.732723\pi\) | |||||||
\(642\) | −653.151 | − | 21796.1i | −0.0401523 | − | 1.33991i | ||||
\(643\) | −5649.05 | + | 15520.6i | −0.346465 | + | 0.951904i | 0.637009 | + | 0.770856i | \(0.280171\pi\) |
−0.983474 | + | 0.181048i | \(0.942051\pi\) | |||||||
\(644\) | −14113.0 | + | 13679.4i | −0.863557 | + | 0.837023i | ||||
\(645\) | 1579.91 | + | 3440.76i | 0.0964479 | + | 0.210046i | ||||
\(646\) | 7977.68 | + | 3377.61i | 0.485879 | + | 0.205713i | ||||
\(647\) | 23584.8 | 1.43310 | 0.716549 | − | 0.697537i | \(-0.245721\pi\) | ||||
0.716549 | + | 0.697537i | \(0.245721\pi\) | |||||||
\(648\) | −14312.3 | + | 8200.95i | −0.867655 | + | 0.497166i | ||||
\(649\) | 2124.02 | 0.128467 | ||||||||
\(650\) | 8935.55 | + | 3783.16i | 0.539202 | + | 0.228289i | ||||
\(651\) | −6072.90 | − | 13225.7i | −0.365615 | − | 0.796245i | ||||
\(652\) | 8751.02 | − | 8482.13i | 0.525639 | − | 0.509488i | ||||
\(653\) | −4434.85 | + | 12184.7i | −0.265772 | + | 0.730202i | 0.732980 | + | 0.680251i | \(0.238129\pi\) |
−0.998752 | + | 0.0499519i | \(0.984093\pi\) | |||||||
\(654\) | 818.640 | + | 27318.6i | 0.0489471 | + | 1.63340i | ||||
\(655\) | −5349.13 | − | 943.196i | −0.319096 | − | 0.0562652i | ||||
\(656\) | 18028.8 | − | 14193.5i | 1.07303 | − | 0.844759i | ||||
\(657\) | 7029.14 | + | 20042.0i | 0.417401 | + | 1.19013i | ||||
\(658\) | −21909.8 | + | 23539.0i | −1.29807 | + | 1.39460i | ||||
\(659\) | −1090.87 | + | 397.044i | −0.0644829 | + | 0.0234699i | −0.374060 | − | 0.927404i | \(-0.622035\pi\) |
0.309577 | + | 0.950874i | \(0.399812\pi\) | |||||||
\(660\) | −233.023 | − | 90.5266i | −0.0137431 | − | 0.00533900i | ||||
\(661\) | −3645.90 | + | 3059.28i | −0.214537 | + | 0.180018i | −0.743723 | − | 0.668488i | \(-0.766942\pi\) |
0.529186 | + | 0.848506i | \(0.322497\pi\) | |||||||
\(662\) | −355.770 | − | 230.572i | −0.0208873 | − | 0.0135369i | ||||
\(663\) | 7407.91 | − | 604.276i | 0.433936 | − | 0.0353969i | ||||
\(664\) | 2562.58 | − | 7509.96i | 0.149770 | − | 0.438920i | ||||
\(665\) | −3014.27 | + | 1740.29i | −0.175772 | + | 0.101482i | ||||
\(666\) | 18663.6 | + | 12409.6i | 1.08589 | + | 0.722014i | ||||
\(667\) | −1972.48 | − | 1138.81i | −0.114505 | − | 0.0661094i | ||||
\(668\) | −5511.00 | − | 12316.5i | −0.319202 | − | 0.713382i | ||||
\(669\) | −5526.30 | − | 21120.0i | −0.319371 | − | 1.22055i | ||||
\(670\) | 1070.65 | + | 55.1166i | 0.0617356 | + | 0.00317812i | ||||
\(671\) | −158.501 | − | 898.906i | −0.00911904 | − | 0.0517167i | ||||
\(672\) | 21345.2 | + | 3791.17i | 1.22531 | + | 0.217630i | ||||
\(673\) | 7489.70 | + | 6284.61i | 0.428985 | + | 0.359961i | 0.831569 | − | 0.555422i | \(-0.187443\pi\) |
−0.402584 | + | 0.915383i | \(0.631888\pi\) | |||||||
\(674\) | −2608.18 | + | 800.040i | −0.149055 | + | 0.0457217i | ||||
\(675\) | −9334.62 | − | 13844.3i | −0.532281 | − | 0.789431i | ||||
\(676\) | −9048.91 | + | 6127.97i | −0.514845 | + | 0.348656i | ||||
\(677\) | 10525.7 | − | 12544.1i | 0.597544 | − | 0.712125i | −0.379493 | − | 0.925195i | \(-0.623902\pi\) |
0.977037 | + | 0.213070i | \(0.0683461\pi\) | |||||||
\(678\) | −12908.1 | − | 4264.83i | −0.731168 | − | 0.241578i | ||||
\(679\) | 26091.4 | − | 4600.61i | 1.47466 | − | 0.260023i | ||||
\(680\) | −2350.71 | + | 1421.35i | −0.132567 | + | 0.0801563i | ||||
\(681\) | 6873.46 | + | 6954.70i | 0.386772 | + | 0.391343i | ||||
\(682\) | 838.468 | − | 103.739i | 0.0470771 | − | 0.00582459i | ||||
\(683\) | 12380.3 | − | 21443.2i | 0.693583 | − | 1.20132i | −0.277072 | − | 0.960849i | \(-0.589364\pi\) |
0.970656 | − | 0.240473i | \(-0.0773024\pi\) | |||||||
\(684\) | −11924.8 | − | 5962.96i | −0.666604 | − | 0.333332i | ||||
\(685\) | −5.42752 | − | 9.40074i | −0.000302737 | − | 0.000524356i | ||||
\(686\) | 6079.79 | + | 8052.64i | 0.338378 | + | 0.448180i | ||||
\(687\) | 7534.78 | + | 3567.56i | 0.418442 | + | 0.198124i | ||||
\(688\) | 18106.1 | − | 5957.25i | 1.00333 | − | 0.330113i | ||||
\(689\) | −4870.90 | − | 5804.91i | −0.269327 | − | 0.320972i | ||||
\(690\) | −552.198 | + | 3792.80i | −0.0304664 | + | 0.209260i | ||||
\(691\) | 3728.65 | + | 10244.4i | 0.205274 | + | 0.563987i | 0.999020 | − | 0.0442631i | \(-0.0140940\pi\) |
−0.793745 | + | 0.608250i | \(0.791872\pi\) | |||||||
\(692\) | 743.394 | − | 1531.37i | 0.0408376 | − | 0.0841244i | ||||
\(693\) | −780.352 | + | 1315.66i | −0.0427751 | + | 0.0721182i | ||||
\(694\) | −6066.45 | + | 26388.1i | −0.331815 | + | 1.44334i | ||||
\(695\) | −702.597 | + | 3984.63i | −0.0383468 | + | 0.217475i | ||||
\(696\) | 254.861 | + | 2499.29i | 0.0138800 | + | 0.136114i | ||||
\(697\) | 16717.7 | + | 6084.73i | 0.908503 | + | 0.330668i | ||||
\(698\) | 450.258 | + | 881.661i | 0.0244162 | + | 0.0478100i | ||||
\(699\) | −15910.9 | − | 11280.8i | −0.860950 | − | 0.610413i | ||||
\(700\) | −2253.42 | + | 21828.6i | −0.121673 | + | 1.17863i | ||||
\(701\) | − | 15726.2i | − | 0.847318i | −0.905822 | − | 0.423659i | \(-0.860746\pi\) | ||
0.905822 | − | 0.423659i | \(-0.139254\pi\) | |||||||
\(702\) | −11436.6 | + | 208.256i | −0.614884 | + | 0.0111967i | ||||
\(703\) | 18115.3i | 0.971882i | ||||||||
\(704\) | −584.669 | + | 1114.49i | −0.0313005 | + | 0.0596649i | ||||
\(705\) | −583.245 | + | 6243.81i | −0.0311578 | + | 0.333554i | ||||
\(706\) | 17757.7 | − | 9068.70i | 0.946627 | − | 0.483435i | ||||
\(707\) | −25782.2 | − | 9383.95i | −1.37148 | − | 0.499179i | ||||
\(708\) | −23674.3 | + | 27013.9i | −1.25669 | + | 1.43396i | ||||
\(709\) | 2136.03 | − | 12114.0i | 0.113146 | − | 0.641681i | −0.874506 | − | 0.485015i | \(-0.838814\pi\) |
0.987652 | − | 0.156666i | \(-0.0500746\pi\) | |||||||
\(710\) | 3028.92 | + | 696.329i | 0.160103 | + | 0.0368067i | ||||
\(711\) | 4253.73 | + | 25900.1i | 0.224370 | + | 1.36614i | ||||
\(712\) | 3423.81 | − | 22012.6i | 0.180215 | − | 1.15865i | ||||
\(713\) | −4430.26 | − | 12172.0i | −0.232699 | − | 0.639336i | ||||
\(714\) | 6219.51 | + | 15615.9i | 0.325993 | + | 0.818501i | ||||
\(715\) | −111.429 | − | 132.796i | −0.00582826 | − | 0.00694585i | ||||
\(716\) | 1139.44 | − | 4001.66i | 0.0594734 | − | 0.208867i | ||||
\(717\) | −6012.31 | + | 4157.44i | −0.313158 | + | 0.216545i | ||||
\(718\) | 23969.2 | − | 18096.9i | 1.24586 | − | 0.940629i | ||||
\(719\) | −10003.7 | − | 17326.9i | −0.518881 | − | 0.898728i | −0.999759 | − | 0.0219405i | \(-0.993016\pi\) |
0.480879 | − | 0.876787i | \(-0.340318\pi\) | |||||||
\(720\) | 3748.61 | − | 1954.64i | 0.194031 | − | 0.101174i | ||||
\(721\) | 21142.6 | − | 36620.0i | 1.09208 | − | 1.89154i | ||||
\(722\) | 1058.92 | + | 8558.67i | 0.0545828 | + | 0.441165i | ||||
\(723\) | −8885.10 | + | 32397.1i | −0.457041 | + | 1.66647i | ||||
\(724\) | −23948.4 | + | 6018.13i | −1.22933 | + | 0.308926i | ||||
\(725\) | −2504.36 | + | 441.587i | −0.128289 | + | 0.0226209i | ||||
\(726\) | 12958.1 | + | 14535.4i | 0.662424 | + | 0.743059i | ||||
\(727\) | 18820.1 | − | 22429.0i | 0.960110 | − | 1.14421i | −0.0293736 | − | 0.999569i | \(-0.509351\pi\) |
0.989483 | − | 0.144646i | \(-0.0462043\pi\) | |||||||
\(728\) | 11709.3 | + | 9428.25i | 0.596118 | + | 0.479992i | ||||
\(729\) | 16688.6 | + | 10436.1i | 0.847866 | + | 0.530210i | ||||
\(730\) | −1596.30 | − | 5204.01i | −0.0809337 | − | 0.263848i | ||||
\(731\) | 11321.2 | + | 9499.61i | 0.572817 | + | 0.480651i | ||||
\(732\) | 13199.2 | + | 8003.32i | 0.666469 | + | 0.404114i | ||||
\(733\) | 5110.99 | + | 28985.9i | 0.257543 | + | 1.46060i | 0.789461 | + | 0.613801i | \(0.210360\pi\) |
−0.531918 | + | 0.846796i | \(0.678529\pi\) | |||||||
\(734\) | 1591.68 | − | 30918.8i | 0.0800410 | − | 1.55481i | ||||
\(735\) | −2307.57 | − | 632.866i | −0.115804 | − | 0.0317600i | ||||
\(736\) | 18661.1 | + | 4907.77i | 0.934590 | + | 0.245792i | ||||
\(737\) | 329.804 | + | 190.412i | 0.0164837 | + | 0.00951685i | ||||
\(738\) | −25085.6 | − | 10970.2i | −1.25124 | − | 0.547178i | ||||
\(739\) | −20448.3 | + | 11805.8i | −1.01786 | + | 0.587664i | −0.913485 | − | 0.406873i | \(-0.866619\pi\) |
−0.104380 | + | 0.994538i | \(0.533286\pi\) | |||||||
\(740\) | −4653.37 | − | 3367.73i | −0.231164 | − | 0.167297i | ||||
\(741\) | −5258.33 | − | 7604.37i | −0.260688 | − | 0.376995i | ||||
\(742\) | 9320.38 | − | 14381.3i | 0.461134 | − | 0.711526i | ||||
\(743\) | −9017.66 | + | 7566.72i | −0.445257 | + | 0.373615i | −0.837672 | − | 0.546173i | \(-0.816084\pi\) |
0.392415 | + | 0.919788i | \(0.371640\pi\) | |||||||
\(744\) | −8026.17 | + | 11820.1i | −0.395502 | + | 0.582456i | ||||
\(745\) | −944.434 | + | 343.746i | −0.0464448 | + | 0.0169045i | ||||
\(746\) | −1932.82 | − | 1799.04i | −0.0948599 | − | 0.0882943i | ||||
\(747\) | −9343.36 | + | 1534.52i | −0.457638 | + | 0.0751608i | ||||
\(748\) | −973.299 | + | 69.8709i | −0.0475767 | + | 0.00341542i | ||||
\(749\) | 33677.2 | + | 5938.20i | 1.64291 | + | 0.289689i | ||||
\(750\) | 4612.59 | + | 7463.63i | 0.224571 | + | 0.363378i | ||||
\(751\) | −2171.15 | + | 5965.18i | −0.105494 | + | 0.289844i | −0.981198 | − | 0.193006i | \(-0.938176\pi\) |
0.875703 | + | 0.482850i | \(0.160398\pi\) | |||||||
\(752\) | 30904.8 | + | 6449.49i | 1.49865 | + | 0.312751i | ||||
\(753\) | −3137.67 | − | 293.095i | −0.151850 | − | 0.0141846i | ||||
\(754\) | −679.205 | + | 1604.24i | −0.0328053 | + | 0.0774838i | ||||
\(755\) | 3271.89 | 0.157717 | ||||||||
\(756\) | −8035.17 | − | 24589.1i | −0.386556 | − | 1.18293i | ||||
\(757\) | −28626.8 | −1.37445 | −0.687226 | − | 0.726444i | \(-0.741172\pi\) | ||||
−0.687226 | + | 0.726444i | \(0.741172\pi\) | |||||||
\(758\) | 4215.79 | − | 9957.40i | 0.202011 | − | 0.477136i | ||||
\(759\) | −787.460 | + | 1110.66i | −0.0376588 | + | 0.0531154i | ||||
\(760\) | 2993.19 | + | 1648.30i | 0.142861 | + | 0.0786712i | ||||
\(761\) | −7063.71 | + | 19407.4i | −0.336477 | + | 0.924464i | 0.649908 | + | 0.760013i | \(0.274807\pi\) |
−0.986385 | + | 0.164451i | \(0.947415\pi\) | |||||||
\(762\) | −8813.25 | + | 16379.2i | −0.418990 | + | 0.778684i | ||||
\(763\) | −42210.1 | − | 7442.78i | −2.00276 | − | 0.353141i | ||||
\(764\) | −1281.41 | − | 17850.0i | −0.0606804 | − | 0.845275i | ||||
\(765\) | 2819.25 | + | 1672.17i | 0.133242 | + | 0.0790292i | ||||
\(766\) | −8634.00 | − | 8036.40i | −0.407257 | − | 0.379069i | ||||
\(767\) | −23405.9 | + | 8519.07i | −1.10188 | + | 0.401050i | ||||
\(768\) | −7657.72 | − | 19858.1i | −0.359797 | − | 0.933031i | ||||
\(769\) | 2409.42 | − | 2021.74i | 0.112985 | − | 0.0948060i | −0.584545 | − | 0.811362i | \(-0.698727\pi\) |
0.697530 | + | 0.716556i | \(0.254282\pi\) | |||||||
\(770\) | 213.217 | − | 328.992i | 0.00997898 | − | 0.0153975i | ||||
\(771\) | 8574.68 | − | 18109.9i | 0.400531 | − | 0.845931i | ||||
\(772\) | 23790.9 | − | 32873.1i | 1.10913 | − | 1.53255i | ||||
\(773\) | 2654.49 | − | 1532.57i | 0.123513 | − | 0.0713102i | −0.436971 | − | 0.899476i | \(-0.643949\pi\) |
0.560484 | + | 0.828166i | \(0.310615\pi\) | |||||||
\(774\) | −16465.3 | − | 15690.7i | −0.764641 | − | 0.728672i | ||||
\(775\) | −12524.8 | − | 7231.22i | −0.580523 | − | 0.335165i | ||||
\(776\) | −17118.6 | − | 19582.6i | −0.791911 | − | 0.905896i | ||||
\(777\) | −24999.2 | + | 24707.2i | −1.15424 | + | 1.14075i | ||||
\(778\) | 104.719 | − | 2034.18i | 0.00482563 | − | 0.0937389i | ||||
\(779\) | −3842.80 | − | 21793.6i | −0.176743 | − | 1.00236i | ||||
\(780\) | 2930.92 | + | 62.9560i | 0.134543 | + | 0.00288998i | ||||
\(781\) | 845.722 | + | 709.645i | 0.0387482 | + | 0.0325136i | ||||
\(782\) | 4387.35 | + | 14303.0i | 0.200628 | + | 0.654060i | ||||
\(783\) | 2485.52 | − | 1675.88i | 0.113442 | − | 0.0764893i | ||||
\(784\) | −4471.19 | + | 11185.7i | −0.203680 | + | 0.509551i | ||||
\(785\) | −444.576 | + | 529.825i | −0.0202135 | + | 0.0240895i | ||||
\(786\) | 31949.4 | − | 6625.96i | 1.44987 | − | 0.300687i | ||||
\(787\) | −3918.62 | + | 690.959i | −0.177489 | + | 0.0312961i | −0.261686 | − | 0.965153i | \(-0.584279\pi\) |
0.0841972 | + | 0.996449i | \(0.473167\pi\) | |||||||
\(788\) | 10561.2 | + | 42027.2i | 0.477448 | + | 1.89994i | ||||
\(789\) | 16397.7 | − | 4290.66i | 0.739891 | − | 0.193602i | ||||
\(790\) | −825.980 | − | 6675.97i | −0.0371988 | − | 0.300659i | ||||
\(791\) | 10659.6 | − | 18463.0i | 0.479155 | − | 0.829920i | ||||
\(792\) | 1501.70 | − | 12.7358i | 0.0673743 | − | 0.000571399i | ||||
\(793\) | 5351.98 | + | 9269.90i | 0.239665 | + | 0.415112i | ||||
\(794\) | 32249.3 | − | 24348.4i | 1.44142 | − | 1.08828i | ||||
\(795\) | −271.703 | − | 3330.85i | −0.0121211 | − | 0.148595i | ||||
\(796\) | −14098.7 | − | 4014.50i | −0.627784 | − | 0.178757i | ||||
\(797\) | 10662.9 | + | 12707.6i | 0.473902 | + | 0.564774i | 0.949048 | − | 0.315133i | \(-0.102049\pi\) |
−0.475146 | + | 0.879907i | \(0.657605\pi\) | |||||||
\(798\) | 12954.0 | − | 16412.3i | 0.574647 | − | 0.728058i | ||||
\(799\) | 8371.98 | + | 23001.8i | 0.370688 | + | 1.01846i | ||||
\(800\) | 19483.1 | − | 9195.14i | 0.861038 | − | 0.406372i | ||||
\(801\) | −25084.2 | + | 8797.53i | −1.10650 | + | 0.388072i | ||||
\(802\) | −12835.2 | − | 2950.73i | −0.565120 | − | 0.129917i | ||||
\(803\) | 335.767 | − | 1904.23i | 0.0147558 | − | 0.0836846i | ||||
\(804\) | −6097.70 | + | 2072.20i | −0.267474 | + | 0.0908966i | ||||
\(805\) | −5648.21 | − | 2055.78i | −0.247296 | − | 0.0900084i | ||||
\(806\) | −8823.54 | + | 4506.11i | −0.385603 | + | 0.196924i | ||||
\(807\) | 22539.2 | − | 10349.4i | 0.983170 | − | 0.451447i | ||||
\(808\) | 5213.02 | + | 26426.6i | 0.226972 | + | 1.15060i | ||||
\(809\) | − | 3638.04i | − | 0.158105i | −0.996870 | − | 0.0790524i | \(-0.974811\pi\) | ||
0.996870 | − | 0.0790524i | \(-0.0251895\pi\) | |||||||
\(810\) | −4167.64 | − | 2842.27i | −0.180785 | − | 0.123293i | ||||
\(811\) | − | 17738.6i | − | 0.768049i | −0.923323 | − | 0.384024i | \(-0.874538\pi\) | ||
0.923323 | − | 0.384024i | \(-0.125462\pi\) | |||||||
\(812\) | −3918.97 | − | 404.566i | −0.169371 | − | 0.0174846i | ||||
\(813\) | −12457.9 | + | 5720.37i | −0.537416 | + | 0.246768i | ||||
\(814\) | −928.034 | − | 1817.21i | −0.0399602 | − | 0.0782471i | ||||
\(815\) | 3502.27 | + | 1274.72i | 0.150527 | + | 0.0547873i | ||||
\(816\) | 9959.73 | − | 13157.5i | 0.427280 | − | 0.564465i | ||||
\(817\) | 3192.24 | − | 18104.1i | 0.136698 | − | 0.775254i | ||||
\(818\) | −596.235 | + | 2593.53i | −0.0254852 | + | 0.110857i | ||||
\(819\) | 3322.31 | − | 17628.0i | 0.141747 | − | 0.752102i | ||||
\(820\) | 6312.61 | + | 3064.41i | 0.268836 | + | 0.130505i | ||||
\(821\) | 14351.4 | + | 39430.2i | 0.610071 | + | 1.67616i | 0.730062 | + | 0.683381i | \(0.239491\pi\) |
−0.119991 | + | 0.992775i | \(0.538287\pi\) | |||||||
\(822\) | 51.1859 | + | 40.4004i | 0.00217192 | + | 0.00171426i | ||||
\(823\) | 3775.35 | + | 4499.29i | 0.159903 | + | 0.190565i | 0.840047 | − | 0.542513i | \(-0.182527\pi\) |
−0.680144 | + | 0.733079i | \(0.738083\pi\) | |||||||
\(824\) | −41504.6 | + | 839.780i | −1.75471 | + | 0.0355038i | ||||
\(825\) | 123.589 | + | 1515.10i | 0.00521553 | + | 0.0639380i | ||||
\(826\) | −33942.1 | − | 44956.1i | −1.42978 | − | 1.89373i | ||||
\(827\) | 3936.06 | + | 6817.46i | 0.165502 | + | 0.286658i | 0.936834 | − | 0.349776i | \(-0.113742\pi\) |
−0.771331 | + | 0.636434i | \(0.780409\pi\) | |||||||
\(828\) | −5348.72 | − | 22394.6i | −0.224494 | − | 0.939934i | ||||
\(829\) | 16810.4 | − | 29116.5i | 0.704281 | − | 1.21985i | −0.262669 | − | 0.964886i | \(-0.584603\pi\) |
0.966950 | − | 0.254965i | \(-0.0820639\pi\) | |||||||
\(830\) | 2408.34 | − | 297.970i | 0.100716 | − | 0.0124611i | ||||
\(831\) | 7661.52 | − | 2004.73i | 0.319826 | − | 0.0836863i | ||||
\(832\) | 1972.81 | − | 14626.3i | 0.0822053 | − | 0.609467i | ||||
\(833\) | −9198.04 | + | 1621.86i | −0.382585 | + | 0.0674600i | ||||
\(834\) | −4935.75 | − | 23799.5i | −0.204929 | − | 0.988139i | ||||
\(835\) | 2652.44 | − | 3161.05i | 0.109930 | − | 0.131009i | ||||
\(836\) | 680.615 | + | 1005.03i | 0.0281574 | + | 0.0415787i | ||||
\(837\) | 16954.9 | + | 1784.97i | 0.700174 | + | 0.0737127i | ||||
\(838\) | −1598.04 | + | 490.187i | −0.0658751 | + | 0.0202067i | ||||
\(839\) | −33166.5 | − | 27830.0i | −1.36476 | − | 1.14517i | −0.974480 | − | 0.224476i | \(-0.927933\pi\) |
−0.390282 | − | 0.920695i | \(-0.627623\pi\) | |||||||
\(840\) | 1807.70 | + | 6378.69i | 0.0742517 | + | 0.262007i | ||||
\(841\) | 4155.83 | + | 23568.9i | 0.170398 | + | 0.966372i | ||||
\(842\) | 40212.3 | + | 2070.11i | 1.64585 | + | 0.0847275i | ||||
\(843\) | 20286.0 | − | 20049.0i | 0.828810 | − | 0.819128i | ||||
\(844\) | −10470.0 | + | 4684.81i | −0.427006 | + | 0.191064i | ||||
\(845\) | −2894.39 | − | 1671.08i | −0.117835 | − | 0.0680318i | ||||
\(846\) | −10623.5 | − | 36142.4i | −0.431728 | − | 1.46880i | ||||
\(847\) | −26446.6 | + | 15269.0i | −1.07287 | + | 0.619419i | ||||
\(848\) | −16816.3 | − | 524.895i | −0.680983 | − | 0.0212559i | ||||
\(849\) | −12648.3 | + | 26713.5i | −0.511294 | + | 1.07986i | ||||
\(850\) | 14017.5 | + | 9084.64i | 0.565643 | + | 0.366589i | ||||
\(851\) | −23964.9 | + | 20108.9i | −0.965341 | + | 0.810017i | ||||
\(852\) | −18451.8 | + | 2846.43i | −0.741960 | + | 0.114457i | ||||
\(853\) | −24714.3 | + | 8995.27i | −0.992030 | + | 0.361069i | −0.786506 | − | 0.617583i | \(-0.788112\pi\) |
−0.205524 | + | 0.978652i | \(0.565890\pi\) | |||||||
\(854\) | −16493.0 | + | 17719.4i | −0.660864 | + | 0.710006i | ||||
\(855\) | 47.9073 | − | 4077.06i | 0.00191625 | − | 0.163079i | ||||
\(856\) | −12118.3 | − | 31309.0i | −0.483871 | − | 1.25014i | ||||
\(857\) | 32836.2 | + | 5789.90i | 1.30882 | + | 0.230781i | 0.784176 | − | 0.620539i | \(-0.213086\pi\) |
0.524648 | + | 0.851319i | \(0.324197\pi\) | |||||||
\(858\) | 917.045 | + | 493.439i | 0.0364888 | + | 0.0196337i | ||||
\(859\) | 3158.24 | − | 8677.19i | 0.125446 | − | 0.344659i | −0.861033 | − | 0.508549i | \(-0.830182\pi\) |
0.986479 | + | 0.163890i | \(0.0524043\pi\) | |||||||
\(860\) | 4057.03 | + | 4185.64i | 0.160865 | + | 0.165964i | ||||
\(861\) | 24834.1 | − | 35027.0i | 0.982977 | − | 1.38643i | ||||
\(862\) | −1424.27 | − | 603.010i | −0.0562769 | − | 0.0238267i | ||||
\(863\) | 28405.9 | 1.12045 | 0.560226 | − | 0.828340i | \(-0.310714\pi\) | ||||
0.560226 | + | 0.828340i | \(0.310714\pi\) | |||||||
\(864\) | −16575.9 | + | 19240.9i | −0.652688 | + | 0.757626i | ||||
\(865\) | 520.584 | 0.0204629 | ||||||||
\(866\) | −32441.0 | − | 13735.0i | −1.27297 | − | 0.538953i | ||||
\(867\) | −12678.8 | − | 1184.35i | −0.496650 | − | 0.0463929i | ||||
\(868\) | −15594.5 | − | 16088.9i | −0.609807 | − | 0.629139i | ||||
\(869\) | 817.272 | − | 2245.44i | 0.0319034 | − | 0.0876539i | ||||
\(870\) | −653.553 | + | 403.902i | −0.0254684 | + | 0.0157397i | ||||
\(871\) | −4398.02 | − | 775.490i | −0.171092 | − | 0.0301682i | ||||
\(872\) | 15188.7 | + | 39241.8i | 0.589855 | + | 1.52396i | ||||
\(873\) | −10957.0 | + | 29037.9i | −0.424787 | + | 1.12576i | ||||
\(874\) | 12679.3 | − | 13622.1i | 0.490712 | − | 0.527202i | ||||
\(875\) | −12929.8 | + | 4706.05i | −0.499550 | + | 0.181821i | ||||
\(876\) | 20476.0 | + | 25494.8i | 0.789750 | + | 0.983323i | ||||
\(877\) | −30449.0 | + | 25549.7i | −1.17239 | + | 0.983754i | −0.999999 | − | 0.00127379i | \(-0.999595\pi\) |
−0.172394 | + | 0.985028i | \(0.555150\pi\) | |||||||
\(878\) | 6313.91 | + | 4092.00i | 0.242693 | + | 0.157287i | ||||
\(879\) | 18925.1 | + | 27368.7i | 0.726198 | + | 1.05020i | ||||
\(880\) | −384.697 | − | 12.0077i | −0.0147365 | − | 0.000459979i | ||||
\(881\) | −9832.67 | + | 5676.90i | −0.376017 | + | 0.217094i | −0.676084 | − | 0.736825i | \(-0.736324\pi\) |
0.300067 | + | 0.953918i | \(0.402991\pi\) | |||||||
\(882\) | 14285.0 | − | 1597.23i | 0.545353 | − | 0.0609767i | ||||
\(883\) | 23630.5 | + | 13643.1i | 0.900598 | + | 0.519961i | 0.877394 | − | 0.479770i | \(-0.159280\pi\) |
0.0232040 | + | 0.999731i | \(0.492613\pi\) | |||||||
\(884\) | 10445.2 | − | 4673.68i | 0.397408 | − | 0.177820i | ||||
\(885\) | −10593.7 | − | 2905.37i | −0.402375 | − | 0.110354i | ||||
\(886\) | −21032.9 | − | 1082.76i | −0.797531 | − | 0.0410565i | ||||
\(887\) | 1884.48 | + | 10687.4i | 0.0713355 | + | 0.404564i | 0.999477 | + | 0.0323362i | \(0.0102947\pi\) |
−0.928142 | + | 0.372227i | \(0.878594\pi\) | |||||||
\(888\) | 33455.6 | + | 8451.57i | 1.26430 | + | 0.319388i | ||||
\(889\) | −22344.6 | − | 18749.4i | −0.842986 | − | 0.707350i | ||||
\(890\) | 6513.24 | − | 1997.89i | 0.245308 | − | 0.0752467i | ||||
\(891\) | −859.263 | − | 1572.50i | −0.0323079 | − | 0.0591254i | ||||
\(892\) | −18846.6 | − | 27830.0i | −0.707435 | − | 1.04464i | ||||
\(893\) | 19571.8 | − | 23324.8i | 0.733423 | − | 0.874059i | ||||
\(894\) | 4506.72 | − | 4017.66i | 0.168599 | − | 0.150303i | ||||
\(895\) | 1253.09 | − | 220.953i | 0.0468002 | − | 0.00825213i | ||||
\(896\) | 32932.0 | − | 5434.91i | 1.22788 | − | 0.202642i | ||||
\(897\) | 4222.85 | − | 15397.5i | 0.157187 | − | 0.573140i | ||||
\(898\) | 28010.5 | − | 3465.58i | 1.04089 | − | 0.128784i | ||||
\(899\) | 1298.25 | − | 2248.63i | 0.0481636 | − | 0.0834218i | ||||
\(900\) | −20646.9 | − | 15315.4i | −0.764701 | − | 0.567236i | ||||
\(901\) | −6522.37 | − | 11297.1i | −0.241167 | − | 0.417714i | ||||
\(902\) | 1501.95 | + | 1989.32i | 0.0554429 | + | 0.0734336i | ||||
\(903\) | 29337.6 | − | 20286.6i | 1.08117 | − | 0.747614i | ||||
\(904\) | −20925.6 | + | 423.398i | −0.769885 | + | 0.0155774i | ||||
\(905\) | −4854.04 | − | 5784.82i | −0.178291 | − | 0.212479i | ||||
\(906\) | −18260.1 | + | 7272.63i | −0.669591 | + | 0.266685i | ||||
\(907\) | 5025.70 | + | 13808.0i | 0.183987 | + | 0.505499i | 0.997057 | − | 0.0766668i | \(-0.0244278\pi\) |
−0.813070 | + | 0.582166i | \(0.802206\pi\) | |||||||
\(908\) | 13543.0 | + | 6574.37i | 0.494980 | + | 0.240284i | ||||
\(909\) | 24862.5 | − | 20369.1i | 0.907192 | − | 0.743236i | ||||
\(910\) | −1030.05 | + | 4480.55i | −0.0375228 | + | 0.163218i | ||||
\(911\) | −3421.36 | + | 19403.5i | −0.124429 | + | 0.705671i | 0.857216 | + | 0.514956i | \(0.172192\pi\) |
−0.981645 | + | 0.190715i | \(0.938919\pi\) | |||||||
\(912\) | −20368.4 | − | 2545.84i | −0.739545 | − | 0.0924355i | ||||
\(913\) | 810.035 | + | 294.828i | 0.0293628 | + | 0.0106872i | ||||
\(914\) | −1398.45 | − | 2738.35i | −0.0506091 | − | 0.0990990i | ||||
\(915\) | −439.048 | + | 4700.14i | −0.0158628 | + | 0.169816i | ||||
\(916\) | 12767.3 | + | 1318.00i | 0.460529 | + | 0.0475415i | ||||
\(917\) | 51170.3i | 1.84274i | ||||||||
\(918\) | −19450.7 | − | 3065.66i | −0.699314 | − | 0.110220i | ||||
\(919\) | 40057.5i | 1.43784i | 0.695093 | + | 0.718920i | \(0.255363\pi\) | ||||
−0.695093 | + | 0.718920i | \(0.744637\pi\) | |||||||
\(920\) | 1142.04 | + | 5789.39i | 0.0409260 | + | 0.207468i | ||||
\(921\) | 14308.6 | + | 10144.8i | 0.511926 | + | 0.362955i | ||||
\(922\) | 33087.3 | − | 16897.4i | 1.18186 | − | 0.603565i | ||||
\(923\) | −12165.8 | − | 4427.99i | −0.433849 | − | 0.157908i | ||||
\(924\) | −458.671 | + | 2310.00i | −0.0163303 | + | 0.0822439i | ||||
\(925\) | −6065.34 | + | 34398.3i | −0.215597 | + | 1.22271i | ||||
\(926\) | 20975.7 | + | 4822.18i | 0.744391 | + | 0.171130i | ||||
\(927\) | 24261.8 | + | 43186.7i | 0.859615 | + | 1.53014i | ||||
\(928\) | 1650.84 | + | 3497.87i | 0.0583960 | + | 0.123732i | ||||
\(929\) | −13653.0 | − | 37511.3i | −0.482174 | − | 1.32476i | −0.907625 | − | 0.419782i | \(-0.862107\pi\) |
0.425451 | − | 0.904982i | \(-0.360116\pi\) | |||||||
\(930\) | −4323.80 | − | 629.508i | −0.152455 | − | 0.0221961i | ||||
\(931\) | 7467.90 | + | 8899.90i | 0.262890 | + | 0.313300i | ||||
\(932\) | −28880.6 | − | 8223.54i | −1.01504 | − | 0.289025i | ||||
\(933\) | 7669.19 | + | 3631.21i | 0.269108 | + | 0.127417i | ||||
\(934\) | 17554.7 | − | 13253.9i | 0.614997 | − | 0.464327i | ||||
\(935\) | −149.209 | − | 258.437i | −0.00521887 | − | 0.00903935i | ||||
\(936\) | −16497.1 | + | 6163.37i | −0.576093 | + | 0.215231i | ||||
\(937\) | −15317.9 | + | 26531.3i | −0.534058 | + | 0.925016i | 0.465150 | + | 0.885232i | \(0.346000\pi\) |
−0.999208 | + | 0.0397843i | \(0.987333\pi\) | |||||||
\(938\) | −1240.13 | − | 10023.3i | −0.0431679 | − | 0.348904i | ||||
\(939\) | 25946.0 | + | 26252.7i | 0.901722 | + | 0.912380i | ||||
\(940\) | 2353.06 | + | 9363.69i | 0.0816470 | + | 0.324904i | ||||
\(941\) | −6036.94 | + | 1064.48i | −0.209138 | + | 0.0368767i | −0.277235 | − | 0.960802i | \(-0.589418\pi\) |
0.0680975 | + | 0.997679i | \(0.478307\pi\) | |||||||
\(942\) | 1303.46 | − | 3945.08i | 0.0450837 | − | 0.136452i | ||||
\(943\) | 24565.1 | − | 29275.6i | 0.848304 | − | 1.01097i | ||||
\(944\) | −20526.4 | + | 51351.4i | −0.707710 | + | 1.77049i | ||||
\(945\) | 5691.69 | − | 5494.51i | 0.195927 | − | 0.189139i | ||||
\(946\) | 607.234 | + | 1979.62i | 0.0208699 | + | 0.0680369i | ||||
\(947\) | −37574.9 | − | 31529.1i | −1.28936 | − | 1.08190i | −0.991881 | − | 0.127170i | \(-0.959411\pi\) |
−0.297476 | − | 0.954729i | \(-0.596145\pi\) | |||||||
\(948\) | 19448.8 | + | 35421.9i | 0.666315 | + | 1.21355i | ||||
\(949\) | 3937.49 | + | 22330.6i | 0.134685 | + | 0.763837i | ||||
\(950\) | 1068.23 | − | 20750.6i | 0.0364821 | − | 0.708673i | ||||
\(951\) | −9977.69 | − | 38131.9i | −0.340219 | − | 1.30022i | ||||
\(952\) | 17032.3 | + | 19483.9i | 0.579853 | + | 0.663315i | ||||
\(953\) | −30375.8 | − | 17537.5i | −1.03250 | − | 0.596112i | −0.114797 | − | 0.993389i | \(-0.536622\pi\) |
−0.917699 | + | 0.397277i | \(0.869955\pi\) | |||||||
\(954\) | 8920.02 | + | 17985.2i | 0.302722 | + | 0.610368i | ||||
\(955\) | 4739.65 | − | 2736.44i | 0.160599 | − | 0.0927216i | ||||
\(956\) | −6598.11 | + | 9116.97i | −0.223220 | + | 0.308435i | ||||
\(957\) | −272.011 | + | 22.1884i | −0.00918796 | + | 0.000749477i | ||||
\(958\) | 3955.62 | − | 6103.48i | 0.133403 | − | 0.205840i | ||||
\(959\) | −78.3378 | + | 65.7332i | −0.00263781 | + | 0.00221339i | ||||
\(960\) | 4440.54 | − | 4758.84i | 0.149289 | − | 0.159991i | ||||
\(961\) | −14118.2 | + | 5138.61i | −0.473909 | + | 0.172489i | ||||
\(962\) | 17515.1 | + | 16302.8i | 0.587016 | + | 0.546386i | ||||
\(963\) | −26108.9 | + | 30383.1i | −0.873672 | + | 1.01670i | ||||
\(964\) | 3703.36 | + | 51587.7i | 0.123732 | + | 1.72358i | ||||
\(965\) | 12221.2 | + | 2154.93i | 0.407683 | + | 0.0718855i | ||||
\(966\) | 36091.5 | − | 1081.53i | 1.20210 | − | 0.0360225i | ||||
\(967\) | −9614.38 | + | 26415.3i | −0.319729 | + | 0.878447i | 0.670861 | + | 0.741583i | \(0.265925\pi\) |
−0.990590 | + | 0.136864i | \(0.956298\pi\) | |||||||
\(968\) | 26261.7 | + | 14461.9i | 0.871986 | + | 0.480189i | ||||
\(969\) | −6641.27 | − | 14463.5i | −0.220174 | − | 0.479499i | ||||
\(970\) | 3101.23 | − | 7324.88i | 0.102654 | − | 0.242462i | ||||
\(971\) | −56890.4 | −1.88023 | −0.940114 | − | 0.340861i | \(-0.889282\pi\) | ||||
−0.940114 | + | 0.340861i | \(0.889282\pi\) | |||||||
\(972\) | 29576.8 | + | 6598.71i | 0.976004 | + | 0.217751i | ||||
\(973\) | 38117.3 | 1.25589 | ||||||||
\(974\) | −18786.4 | + | 44372.1i | −0.618023 | + | 1.45973i | ||||
\(975\) | −7438.68 | − | 16200.1i | −0.244337 | − | 0.532122i | ||||
\(976\) | 23264.2 | + | 4854.97i | 0.762979 | + | 0.159225i | ||||
\(977\) | −14408.3 | + | 39586.5i | −0.471814 | + | 1.29630i | 0.444479 | + | 0.895789i | \(0.353389\pi\) |
−0.916293 | + | 0.400509i | \(0.868833\pi\) | |||||||
\(978\) | −22379.2 | + | 670.624i | −0.731706 | + | 0.0219266i | ||||
\(979\) | 2383.29 | + | 420.239i | 0.0778043 | + | 0.0137190i | ||||
\(980\) | −3674.47 | + | 263.782i | −0.119772 | + | 0.00859817i | ||||
\(981\) | 32724.1 | − | 38081.3i | 1.06504 | − | 1.23939i | ||||
\(982\) | −1492.44 | − | 1389.14i | −0.0484987 | − | 0.0451419i | ||||
\(983\) | 20106.0 | − | 7317.98i | 0.652371 | − | 0.237444i | 0.00543205 | − | 0.999985i | \(-0.498271\pi\) |
0.646939 | + | 0.762541i | \(0.276049\pi\) | |||||||
\(984\) | −42041.4 | − | 3070.71i | −1.36202 | − | 0.0994825i | ||||
\(985\) | −10151.8 | + | 8518.37i | −0.328389 | + | 0.275551i | ||||
\(986\) | −1631.00 | + | 2516.62i | −0.0526792 | + | 0.0812834i | ||||
\(987\) | 58882.0 | − | 4803.10i | 1.89892 | − | 0.154898i | ||||
\(988\) | −11531.1 | − | 8345.29i | −0.371310 | − | 0.268724i | ||||
\(989\) | 27493.5 | − | 15873.4i | 0.883967 | − | 0.510359i | ||||
\(990\) | 204.058 | + | 411.437i | 0.00655091 | + | 0.0132084i | ||||
\(991\) | 5681.26 | + | 3280.08i | 0.182110 | + | 0.105141i | 0.588284 | − | 0.808655i | \(-0.299804\pi\) |
−0.406174 | + | 0.913796i | \(0.633137\pi\) | |||||||
\(992\) | −5594.87 | + | 21273.8i | −0.179070 | + | 0.680890i | ||||
\(993\) | 197.158 | + | 753.484i | 0.00630073 | + | 0.0240796i | ||||
\(994\) | 1505.28 | − | 29240.4i | 0.0480328 | − | 0.933047i | ||||
\(995\) | −778.467 | − | 4414.90i | −0.0248031 | − | 0.140665i | ||||
\(996\) | −12778.3 | + | 7016.09i | −0.406523 | + | 0.223206i | ||||
\(997\) | −24313.7 | − | 20401.6i | −0.772339 | − | 0.648069i | 0.168968 | − | 0.985622i | \(-0.445957\pi\) |
−0.941307 | + | 0.337552i | \(0.890401\pi\) | |||||||
\(998\) | 16969.9 | + | 55322.7i | 0.538248 | + | 1.75472i | ||||
\(999\) | −9954.22 | − | 39953.4i | −0.315253 | − | 1.26533i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 108.4.l.a.11.9 | ✓ | 312 | |
4.3 | odd | 2 | inner | 108.4.l.a.11.38 | yes | 312 | |
27.5 | odd | 18 | inner | 108.4.l.a.59.38 | yes | 312 | |
108.59 | even | 18 | inner | 108.4.l.a.59.9 | yes | 312 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
108.4.l.a.11.9 | ✓ | 312 | 1.1 | even | 1 | trivial | |
108.4.l.a.11.38 | yes | 312 | 4.3 | odd | 2 | inner | |
108.4.l.a.59.9 | yes | 312 | 108.59 | even | 18 | inner | |
108.4.l.a.59.38 | yes | 312 | 27.5 | odd | 18 | inner |