Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [200,4,Mod(101,200)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(200, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 1, 0]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("200.101");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 200 = 2^{3} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 200.d (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(11.8003820011\) |
Analytic rank: | \(0\) |
Dimension: | \(2\) |
Coefficient field: | \(\Q(\sqrt{-7}) \) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{2} - x + 2 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 2 \) |
Twist minimal: | no (minimal twist has level 8) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 101.2 | ||
Root | \(0.500000 + 1.32288i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 200.101 |
Dual form | 200.4.d.a.101.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/200\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(177\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.00000 | + | 2.64575i | 0.353553 | + | 0.935414i | ||||
\(3\) | − | 5.29150i | − | 1.01835i | −0.860663 | − | 0.509175i | \(-0.829951\pi\) | ||
0.860663 | − | 0.509175i | \(-0.170049\pi\) | |||||||
\(4\) | −6.00000 | + | 5.29150i | −0.750000 | + | 0.661438i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 14.0000 | − | 5.29150i | 0.952579 | − | 0.360041i | ||||
\(7\) | 8.00000 | 0.431959 | 0.215980 | − | 0.976398i | \(-0.430705\pi\) | ||||
0.215980 | + | 0.976398i | \(0.430705\pi\) | |||||||
\(8\) | −20.0000 | − | 10.5830i | −0.883883 | − | 0.467707i | ||||
\(9\) | −1.00000 | −0.0370370 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | − | 15.8745i | − | 0.435122i | −0.976047 | − | 0.217561i | \(-0.930190\pi\) | ||
0.976047 | − | 0.217561i | \(-0.0698101\pi\) | |||||||
\(12\) | 28.0000 | + | 31.7490i | 0.673575 | + | 0.763763i | ||||
\(13\) | − | 52.9150i | − | 1.12892i | −0.825460 | − | 0.564461i | \(-0.809084\pi\) | ||
0.825460 | − | 0.564461i | \(-0.190916\pi\) | |||||||
\(14\) | 8.00000 | + | 21.1660i | 0.152721 | + | 0.404061i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 8.00000 | − | 63.4980i | 0.125000 | − | 0.992157i | ||||
\(17\) | 14.0000 | 0.199735 | 0.0998676 | − | 0.995001i | \(-0.468158\pi\) | ||||
0.0998676 | + | 0.995001i | \(0.468158\pi\) | |||||||
\(18\) | −1.00000 | − | 2.64575i | −0.0130946 | − | 0.0346450i | ||||
\(19\) | − | 37.0405i | − | 0.447246i | −0.974676 | − | 0.223623i | \(-0.928212\pi\) | ||
0.974676 | − | 0.223623i | \(-0.0717885\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | − | 42.3320i | − | 0.439886i | ||||||
\(22\) | 42.0000 | − | 15.8745i | 0.407020 | − | 0.153839i | ||||
\(23\) | 152.000 | 1.37801 | 0.689004 | − | 0.724757i | \(-0.258048\pi\) | ||||
0.689004 | + | 0.724757i | \(0.258048\pi\) | |||||||
\(24\) | −56.0000 | + | 105.830i | −0.476290 | + | 0.900103i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 140.000 | − | 52.9150i | 1.05601 | − | 0.399134i | ||||
\(27\) | − | 137.579i | − | 0.980633i | ||||||
\(28\) | −48.0000 | + | 42.3320i | −0.323970 | + | 0.285714i | ||||
\(29\) | − | 158.745i | − | 1.01649i | −0.861212 | − | 0.508245i | \(-0.830294\pi\) | ||
0.861212 | − | 0.508245i | \(-0.169706\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 224.000 | 1.29779 | 0.648897 | − | 0.760877i | \(-0.275231\pi\) | ||||
0.648897 | + | 0.760877i | \(0.275231\pi\) | |||||||
\(32\) | 176.000 | − | 42.3320i | 0.972272 | − | 0.233854i | ||||
\(33\) | −84.0000 | −0.443107 | ||||||||
\(34\) | 14.0000 | + | 37.0405i | 0.0706171 | + | 0.186835i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 6.00000 | − | 5.29150i | 0.0277778 | − | 0.0244977i | ||||
\(37\) | − | 243.409i | − | 1.08152i | −0.841177 | − | 0.540760i | \(-0.818137\pi\) | ||
0.841177 | − | 0.540760i | \(-0.181863\pi\) | |||||||
\(38\) | 98.0000 | − | 37.0405i | 0.418361 | − | 0.158125i | ||||
\(39\) | −280.000 | −1.14964 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −70.0000 | −0.266638 | −0.133319 | − | 0.991073i | \(-0.542564\pi\) | ||||
−0.133319 | + | 0.991073i | \(0.542564\pi\) | |||||||
\(42\) | 112.000 | − | 42.3320i | 0.411476 | − | 0.155523i | ||||
\(43\) | 439.195i | 1.55759i | 0.627276 | + | 0.778797i | \(0.284170\pi\) | ||||
−0.627276 | + | 0.778797i | \(0.715830\pi\) | |||||||
\(44\) | 84.0000 | + | 95.2470i | 0.287806 | + | 0.326342i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 152.000 | + | 402.154i | 0.487200 | + | 1.28901i | ||||
\(47\) | −336.000 | −1.04278 | −0.521390 | − | 0.853319i | \(-0.674586\pi\) | ||||
−0.521390 | + | 0.853319i | \(0.674586\pi\) | |||||||
\(48\) | −336.000 | − | 42.3320i | −1.01036 | − | 0.127294i | ||||
\(49\) | −279.000 | −0.813411 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | − | 74.0810i | − | 0.203400i | ||||||
\(52\) | 280.000 | + | 317.490i | 0.746712 | + | 0.846692i | ||||
\(53\) | − | 31.7490i | − | 0.0822842i | −0.999153 | − | 0.0411421i | \(-0.986900\pi\) | ||
0.999153 | − | 0.0411421i | \(-0.0130996\pi\) | |||||||
\(54\) | 364.000 | − | 137.579i | 0.917299 | − | 0.346706i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −160.000 | − | 84.6640i | −0.381802 | − | 0.202031i | ||||
\(57\) | −196.000 | −0.455453 | ||||||||
\(58\) | 420.000 | − | 158.745i | 0.950840 | − | 0.359384i | ||||
\(59\) | 534.442i | 1.17929i | 0.807661 | + | 0.589647i | \(0.200733\pi\) | ||||
−0.807661 | + | 0.589647i | \(0.799267\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 95.2470i | 0.199920i | 0.994991 | + | 0.0999601i | \(0.0318715\pi\) | ||||
−0.994991 | + | 0.0999601i | \(0.968128\pi\) | |||||||
\(62\) | 224.000 | + | 592.648i | 0.458839 | + | 1.21397i | ||||
\(63\) | −8.00000 | −0.0159985 | ||||||||
\(64\) | 288.000 | + | 423.320i | 0.562500 | + | 0.826797i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −84.0000 | − | 222.243i | −0.156662 | − | 0.414488i | ||||
\(67\) | − | 174.620i | − | 0.318406i | −0.987246 | − | 0.159203i | \(-0.949108\pi\) | ||
0.987246 | − | 0.159203i | \(-0.0508924\pi\) | |||||||
\(68\) | −84.0000 | + | 74.0810i | −0.149801 | + | 0.132112i | ||||
\(69\) | − | 804.308i | − | 1.40329i | ||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −72.0000 | −0.120350 | −0.0601748 | − | 0.998188i | \(-0.519166\pi\) | ||||
−0.0601748 | + | 0.998188i | \(0.519166\pi\) | |||||||
\(72\) | 20.0000 | + | 10.5830i | 0.0327364 | + | 0.0173225i | ||||
\(73\) | 294.000 | 0.471371 | 0.235686 | − | 0.971829i | \(-0.424266\pi\) | ||||
0.235686 | + | 0.971829i | \(0.424266\pi\) | |||||||
\(74\) | 644.000 | − | 243.409i | 1.01167 | − | 0.382375i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 196.000 | + | 222.243i | 0.295826 | + | 0.335435i | ||||
\(77\) | − | 126.996i | − | 0.187955i | ||||||
\(78\) | −280.000 | − | 740.810i | −0.406458 | − | 1.07539i | ||||
\(79\) | −464.000 | −0.660811 | −0.330406 | − | 0.943839i | \(-0.607186\pi\) | ||||
−0.330406 | + | 0.943839i | \(0.607186\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −755.000 | −1.03567 | ||||||||
\(82\) | −70.0000 | − | 185.203i | −0.0942708 | − | 0.249417i | ||||
\(83\) | 545.025i | 0.720774i | 0.932803 | + | 0.360387i | \(0.117355\pi\) | ||||
−0.932803 | + | 0.360387i | \(0.882645\pi\) | |||||||
\(84\) | 224.000 | + | 253.992i | 0.290957 | + | 0.329914i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −1162.00 | + | 439.195i | −1.45700 | + | 0.550693i | ||||
\(87\) | −840.000 | −1.03514 | ||||||||
\(88\) | −168.000 | + | 317.490i | −0.203510 | + | 0.384597i | ||||
\(89\) | 266.000 | 0.316808 | 0.158404 | − | 0.987374i | \(-0.449365\pi\) | ||||
0.158404 | + | 0.987374i | \(0.449365\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | − | 423.320i | − | 0.487649i | ||||||
\(92\) | −912.000 | + | 804.308i | −1.03351 | + | 0.911467i | ||||
\(93\) | − | 1185.30i | − | 1.32161i | ||||||
\(94\) | −336.000 | − | 888.972i | −0.368678 | − | 0.975431i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −224.000 | − | 931.304i | −0.238145 | − | 0.990113i | ||||
\(97\) | −994.000 | −1.04047 | −0.520234 | − | 0.854024i | \(-0.674155\pi\) | ||||
−0.520234 | + | 0.854024i | \(0.674155\pi\) | |||||||
\(98\) | −279.000 | − | 738.165i | −0.287584 | − | 0.760876i | ||||
\(99\) | 15.8745i | 0.0161156i | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 751.393i | 0.740262i | 0.928980 | + | 0.370131i | \(0.120687\pi\) | ||||
−0.928980 | + | 0.370131i | \(0.879313\pi\) | |||||||
\(102\) | 196.000 | − | 74.0810i | 0.190264 | − | 0.0719129i | ||||
\(103\) | −1176.00 | −1.12500 | −0.562499 | − | 0.826798i | \(-0.690160\pi\) | ||||
−0.562499 | + | 0.826798i | \(0.690160\pi\) | |||||||
\(104\) | −560.000 | + | 1058.30i | −0.528005 | + | 0.997836i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 84.0000 | − | 31.7490i | 0.0769698 | − | 0.0290919i | ||||
\(107\) | 269.867i | 0.243822i | 0.992541 | + | 0.121911i | \(0.0389023\pi\) | ||||
−0.992541 | + | 0.121911i | \(0.961098\pi\) | |||||||
\(108\) | 728.000 | + | 825.474i | 0.648628 | + | 0.735475i | ||||
\(109\) | − | 1894.36i | − | 1.66465i | −0.554290 | − | 0.832324i | \(-0.687010\pi\) | ||
0.554290 | − | 0.832324i | \(-0.312990\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −1288.00 | −1.10137 | ||||||||
\(112\) | 64.0000 | − | 507.984i | 0.0539949 | − | 0.428571i | ||||
\(113\) | 1710.00 | 1.42357 | 0.711784 | − | 0.702398i | \(-0.247887\pi\) | ||||
0.711784 | + | 0.702398i | \(0.247887\pi\) | |||||||
\(114\) | −196.000 | − | 518.567i | −0.161027 | − | 0.426037i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 840.000 | + | 952.470i | 0.672345 | + | 0.762368i | ||||
\(117\) | 52.9150i | 0.0418119i | ||||||||
\(118\) | −1414.00 | + | 534.442i | −1.10313 | + | 0.416944i | ||||
\(119\) | 112.000 | 0.0862775 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1079.00 | 0.810669 | ||||||||
\(122\) | −252.000 | + | 95.2470i | −0.187008 | + | 0.0706825i | ||||
\(123\) | 370.405i | 0.271531i | ||||||||
\(124\) | −1344.00 | + | 1185.30i | −0.973345 | + | 0.858409i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −8.00000 | − | 21.1660i | −0.00565632 | − | 0.0149652i | ||||
\(127\) | 1664.00 | 1.16265 | 0.581323 | − | 0.813673i | \(-0.302535\pi\) | ||||
0.581323 | + | 0.813673i | \(0.302535\pi\) | |||||||
\(128\) | −832.000 | + | 1185.30i | −0.574524 | + | 0.818488i | ||||
\(129\) | 2324.00 | 1.58618 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | − | 672.021i | − | 0.448204i | −0.974566 | − | 0.224102i | \(-0.928055\pi\) | ||
0.974566 | − | 0.224102i | \(-0.0719449\pi\) | |||||||
\(132\) | 504.000 | − | 444.486i | 0.332330 | − | 0.293088i | ||||
\(133\) | − | 296.324i | − | 0.193192i | ||||||
\(134\) | 462.000 | − | 174.620i | 0.297841 | − | 0.112573i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −280.000 | − | 148.162i | −0.176543 | − | 0.0934176i | ||||
\(137\) | 1062.00 | 0.662283 | 0.331142 | − | 0.943581i | \(-0.392566\pi\) | ||||
0.331142 | + | 0.943581i | \(0.392566\pi\) | |||||||
\(138\) | 2128.00 | − | 804.308i | 1.31266 | − | 0.496140i | ||||
\(139\) | 2693.37i | 1.64352i | 0.569835 | + | 0.821759i | \(0.307007\pi\) | ||||
−0.569835 | + | 0.821759i | \(0.692993\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 1777.94i | 1.06191i | ||||||||
\(142\) | −72.0000 | − | 190.494i | −0.0425500 | − | 0.112577i | ||||
\(143\) | −840.000 | −0.491219 | ||||||||
\(144\) | −8.00000 | + | 63.4980i | −0.00462963 | + | 0.0367465i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 294.000 | + | 777.851i | 0.166655 | + | 0.440927i | ||||
\(147\) | 1476.33i | 0.828337i | ||||||||
\(148\) | 1288.00 | + | 1460.45i | 0.715358 | + | 0.811139i | ||||
\(149\) | 793.725i | 0.436406i | 0.975903 | + | 0.218203i | \(0.0700195\pi\) | ||||
−0.975903 | + | 0.218203i | \(0.929980\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 744.000 | 0.400966 | 0.200483 | − | 0.979697i | \(-0.435749\pi\) | ||||
0.200483 | + | 0.979697i | \(0.435749\pi\) | |||||||
\(152\) | −392.000 | + | 740.810i | −0.209180 | + | 0.395314i | ||||
\(153\) | −14.0000 | −0.00739760 | ||||||||
\(154\) | 336.000 | − | 126.996i | 0.175816 | − | 0.0664522i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 1680.00 | − | 1481.62i | 0.862229 | − | 0.760414i | ||||
\(157\) | − | 179.911i | − | 0.0914552i | −0.998954 | − | 0.0457276i | \(-0.985439\pi\) | ||
0.998954 | − | 0.0457276i | \(-0.0145606\pi\) | |||||||
\(158\) | −464.000 | − | 1227.63i | −0.233632 | − | 0.618132i | ||||
\(159\) | −168.000 | −0.0837941 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 1216.00 | 0.595244 | ||||||||
\(162\) | −755.000 | − | 1997.54i | −0.366163 | − | 0.968776i | ||||
\(163\) | 1772.65i | 0.851809i | 0.904768 | + | 0.425905i | \(0.140044\pi\) | ||||
−0.904768 | + | 0.425905i | \(0.859956\pi\) | |||||||
\(164\) | 420.000 | − | 370.405i | 0.199979 | − | 0.176365i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −1442.00 | + | 545.025i | −0.674222 | + | 0.254832i | ||||
\(167\) | 1960.00 | 0.908200 | 0.454100 | − | 0.890951i | \(-0.349961\pi\) | ||||
0.454100 | + | 0.890951i | \(0.349961\pi\) | |||||||
\(168\) | −448.000 | + | 846.640i | −0.205738 | + | 0.388808i | ||||
\(169\) | −603.000 | −0.274465 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 37.0405i | 0.0165647i | ||||||||
\(172\) | −2324.00 | − | 2635.17i | −1.03025 | − | 1.16820i | ||||
\(173\) | − | 2000.19i | − | 0.879026i | −0.898236 | − | 0.439513i | \(-0.855151\pi\) | ||
0.898236 | − | 0.439513i | \(-0.144849\pi\) | |||||||
\(174\) | −840.000 | − | 2222.43i | −0.365978 | − | 0.968288i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −1008.00 | − | 126.996i | −0.431709 | − | 0.0543903i | ||||
\(177\) | 2828.00 | 1.20094 | ||||||||
\(178\) | 266.000 | + | 703.770i | 0.112009 | + | 0.296347i | ||||
\(179\) | 3264.86i | 1.36328i | 0.731688 | + | 0.681639i | \(0.238733\pi\) | ||||
−0.731688 | + | 0.681639i | \(0.761267\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 2338.84i | − | 0.960469i | −0.877140 | − | 0.480235i | \(-0.840552\pi\) | ||
0.877140 | − | 0.480235i | \(-0.159448\pi\) | |||||||
\(182\) | 1120.00 | − | 423.320i | 0.456153 | − | 0.172410i | ||||
\(183\) | 504.000 | 0.203589 | ||||||||
\(184\) | −3040.00 | − | 1608.62i | −1.21800 | − | 0.644504i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 3136.00 | − | 1185.30i | 1.23625 | − | 0.467259i | ||||
\(187\) | − | 222.243i | − | 0.0869092i | ||||||
\(188\) | 2016.00 | − | 1777.94i | 0.782085 | − | 0.689734i | ||||
\(189\) | − | 1100.63i | − | 0.423594i | ||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 3904.00 | 1.47897 | 0.739486 | − | 0.673172i | \(-0.235069\pi\) | ||||
0.739486 | + | 0.673172i | \(0.235069\pi\) | |||||||
\(192\) | 2240.00 | − | 1523.95i | 0.841969 | − | 0.572822i | ||||
\(193\) | −3330.00 | −1.24196 | −0.620981 | − | 0.783826i | \(-0.713266\pi\) | ||||
−0.620981 | + | 0.783826i | \(0.713266\pi\) | |||||||
\(194\) | −994.000 | − | 2629.88i | −0.367861 | − | 0.973269i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 1674.00 | − | 1476.33i | 0.610058 | − | 0.538021i | ||||
\(197\) | 1195.88i | 0.432502i | 0.976338 | + | 0.216251i | \(0.0693829\pi\) | ||||
−0.976338 | + | 0.216251i | \(0.930617\pi\) | |||||||
\(198\) | −42.0000 | + | 15.8745i | −0.0150748 | + | 0.00569774i | ||||
\(199\) | −1736.00 | −0.618401 | −0.309200 | − | 0.950997i | \(-0.600061\pi\) | ||||
−0.309200 | + | 0.950997i | \(0.600061\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −924.000 | −0.324248 | ||||||||
\(202\) | −1988.00 | + | 751.393i | −0.692451 | + | 0.261722i | ||||
\(203\) | − | 1269.96i | − | 0.439083i | ||||||
\(204\) | 392.000 | + | 444.486i | 0.134537 | + | 0.152550i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −1176.00 | − | 3111.40i | −0.397747 | − | 1.05234i | ||||
\(207\) | −152.000 | −0.0510373 | ||||||||
\(208\) | −3360.00 | − | 423.320i | −1.12007 | − | 0.141115i | ||||
\(209\) | −588.000 | −0.194607 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | − | 2915.62i | − | 0.951277i | −0.879641 | − | 0.475638i | \(-0.842217\pi\) | ||
0.879641 | − | 0.475638i | \(-0.157783\pi\) | |||||||
\(212\) | 168.000 | + | 190.494i | 0.0544259 | + | 0.0617132i | ||||
\(213\) | 380.988i | 0.122558i | ||||||||
\(214\) | −714.000 | + | 269.867i | −0.228075 | + | 0.0862042i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −1456.00 | + | 2751.58i | −0.458649 | + | 0.866766i | ||||
\(217\) | 1792.00 | 0.560594 | ||||||||
\(218\) | 5012.00 | − | 1894.36i | 1.55714 | − | 0.588542i | ||||
\(219\) | − | 1555.70i | − | 0.480021i | ||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | − | 740.810i | − | 0.225486i | ||||||
\(222\) | −1288.00 | − | 3407.73i | −0.389391 | − | 1.03023i | ||||
\(223\) | −1568.00 | −0.470857 | −0.235428 | − | 0.971892i | \(-0.575649\pi\) | ||||
−0.235428 | + | 0.971892i | \(0.575649\pi\) | |||||||
\(224\) | 1408.00 | − | 338.656i | 0.419982 | − | 0.101015i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 1710.00 | + | 4524.23i | 0.503308 | + | 1.33163i | ||||
\(227\) | 1264.67i | 0.369775i | 0.982760 | + | 0.184888i | \(0.0591922\pi\) | ||||
−0.982760 | + | 0.184888i | \(0.940808\pi\) | |||||||
\(228\) | 1176.00 | − | 1037.13i | 0.341590 | − | 0.301254i | ||||
\(229\) | 5153.92i | 1.48725i | 0.668595 | + | 0.743626i | \(0.266896\pi\) | ||||
−0.668595 | + | 0.743626i | \(0.733104\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −672.000 | −0.191404 | ||||||||
\(232\) | −1680.00 | + | 3174.90i | −0.475420 | + | 0.898459i | ||||
\(233\) | 838.000 | 0.235619 | 0.117809 | − | 0.993036i | \(-0.462413\pi\) | ||||
0.117809 | + | 0.993036i | \(0.462413\pi\) | |||||||
\(234\) | −140.000 | + | 52.9150i | −0.0391115 | + | 0.0147827i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −2828.00 | − | 3206.65i | −0.780030 | − | 0.884471i | ||||
\(237\) | 2455.26i | 0.672937i | ||||||||
\(238\) | 112.000 | + | 296.324i | 0.0305037 | + | 0.0807052i | ||||
\(239\) | 6288.00 | 1.70183 | 0.850914 | − | 0.525305i | \(-0.176049\pi\) | ||||
0.850914 | + | 0.525305i | \(0.176049\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −2926.00 | −0.782076 | −0.391038 | − | 0.920375i | \(-0.627884\pi\) | ||||
−0.391038 | + | 0.920375i | \(0.627884\pi\) | |||||||
\(242\) | 1079.00 | + | 2854.77i | 0.286615 | + | 0.758311i | ||||
\(243\) | 280.450i | 0.0740364i | ||||||||
\(244\) | −504.000 | − | 571.482i | −0.132235 | − | 0.149940i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −980.000 | + | 370.405i | −0.253994 | + | 0.0960007i | ||||
\(247\) | −1960.00 | −0.504906 | ||||||||
\(248\) | −4480.00 | − | 2370.59i | −1.14710 | − | 0.606987i | ||||
\(249\) | 2884.00 | 0.734000 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 5444.96i | 1.36925i | 0.728894 | + | 0.684627i | \(0.240035\pi\) | ||||
−0.728894 | + | 0.684627i | \(0.759965\pi\) | |||||||
\(252\) | 48.0000 | − | 42.3320i | 0.0119989 | − | 0.0105820i | ||||
\(253\) | − | 2412.93i | − | 0.599602i | ||||||
\(254\) | 1664.00 | + | 4402.53i | 0.411058 | + | 1.08756i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −3968.00 | − | 1015.97i | −0.968750 | − | 0.248039i | ||||
\(257\) | −2562.00 | −0.621841 | −0.310921 | − | 0.950436i | \(-0.600637\pi\) | ||||
−0.310921 | + | 0.950436i | \(0.600637\pi\) | |||||||
\(258\) | 2324.00 | + | 6148.73i | 0.560798 | + | 1.48373i | ||||
\(259\) | − | 1947.27i | − | 0.467172i | ||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 158.745i | 0.0376478i | ||||||||
\(262\) | 1778.00 | − | 672.021i | 0.419257 | − | 0.158464i | ||||
\(263\) | 5896.00 | 1.38237 | 0.691184 | − | 0.722679i | \(-0.257089\pi\) | ||||
0.691184 | + | 0.722679i | \(0.257089\pi\) | |||||||
\(264\) | 1680.00 | + | 888.972i | 0.391655 | + | 0.207244i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 784.000 | − | 296.324i | 0.180715 | − | 0.0683038i | ||||
\(267\) | − | 1407.54i | − | 0.322622i | ||||||
\(268\) | 924.000 | + | 1047.72i | 0.210606 | + | 0.238804i | ||||
\(269\) | − | 5365.58i | − | 1.21615i | −0.793878 | − | 0.608077i | \(-0.791941\pi\) | ||
0.793878 | − | 0.608077i | \(-0.208059\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −1680.00 | −0.376578 | −0.188289 | − | 0.982114i | \(-0.560294\pi\) | ||||
−0.188289 | + | 0.982114i | \(0.560294\pi\) | |||||||
\(272\) | 112.000 | − | 888.972i | 0.0249669 | − | 0.198169i | ||||
\(273\) | −2240.00 | −0.496597 | ||||||||
\(274\) | 1062.00 | + | 2809.79i | 0.234152 | + | 0.619509i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 4256.00 | + | 4825.85i | 0.928192 | + | 1.05247i | ||||
\(277\) | 1576.87i | 0.342039i | 0.985268 | + | 0.171019i | \(0.0547061\pi\) | ||||
−0.985268 | + | 0.171019i | \(0.945294\pi\) | |||||||
\(278\) | −7126.00 | + | 2693.37i | −1.53737 | + | 0.581072i | ||||
\(279\) | −224.000 | −0.0480664 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −2742.00 | −0.582114 | −0.291057 | − | 0.956706i | \(-0.594007\pi\) | ||||
−0.291057 | + | 0.956706i | \(0.594007\pi\) | |||||||
\(282\) | −4704.00 | + | 1777.94i | −0.993330 | + | 0.375444i | ||||
\(283\) | − | 2989.70i | − | 0.627983i | −0.949426 | − | 0.313991i | \(-0.898334\pi\) | ||
0.949426 | − | 0.313991i | \(-0.101666\pi\) | |||||||
\(284\) | 432.000 | − | 380.988i | 0.0902623 | − | 0.0796038i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −840.000 | − | 2222.43i | −0.173672 | − | 0.459493i | ||||
\(287\) | −560.000 | −0.115177 | ||||||||
\(288\) | −176.000 | + | 42.3320i | −0.0360101 | + | 0.00866124i | ||||
\(289\) | −4717.00 | −0.960106 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 5259.75i | 1.05956i | ||||||||
\(292\) | −1764.00 | + | 1555.70i | −0.353528 | + | 0.311783i | ||||
\(293\) | 9238.96i | 1.84214i | 0.389401 | + | 0.921068i | \(0.372682\pi\) | ||||
−0.389401 | + | 0.921068i | \(0.627318\pi\) | |||||||
\(294\) | −3906.00 | + | 1476.33i | −0.774839 | + | 0.292861i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −2576.00 | + | 4868.18i | −0.505834 | + | 0.955937i | ||||
\(297\) | −2184.00 | −0.426695 | ||||||||
\(298\) | −2100.00 | + | 793.725i | −0.408221 | + | 0.154293i | ||||
\(299\) | − | 8043.08i | − | 1.55566i | ||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 3513.56i | 0.672818i | ||||||||
\(302\) | 744.000 | + | 1968.44i | 0.141763 | + | 0.375069i | ||||
\(303\) | 3976.00 | 0.753846 | ||||||||
\(304\) | −2352.00 | − | 296.324i | −0.443738 | − | 0.0559058i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −14.0000 | − | 37.0405i | −0.00261545 | − | 0.00691982i | ||||
\(307\) | − | 2587.54i | − | 0.481039i | −0.970644 | − | 0.240520i | \(-0.922682\pi\) | ||
0.970644 | − | 0.240520i | \(-0.0773178\pi\) | |||||||
\(308\) | 672.000 | + | 761.976i | 0.124321 | + | 0.140966i | ||||
\(309\) | 6222.81i | 1.14564i | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −2744.00 | −0.500315 | −0.250157 | − | 0.968205i | \(-0.580482\pi\) | ||||
−0.250157 | + | 0.968205i | \(0.580482\pi\) | |||||||
\(312\) | 5600.00 | + | 2963.24i | 1.01615 | + | 0.537694i | ||||
\(313\) | −2282.00 | −0.412097 | −0.206048 | − | 0.978542i | \(-0.566060\pi\) | ||||
−0.206048 | + | 0.978542i | \(0.566060\pi\) | |||||||
\(314\) | 476.000 | − | 179.911i | 0.0855485 | − | 0.0323343i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 2784.00 | − | 2455.26i | 0.495608 | − | 0.437085i | ||||
\(317\) | − | 9577.62i | − | 1.69695i | −0.529237 | − | 0.848474i | \(-0.677522\pi\) | ||
0.529237 | − | 0.848474i | \(-0.322478\pi\) | |||||||
\(318\) | −168.000 | − | 444.486i | −0.0296257 | − | 0.0783822i | ||||
\(319\) | −2520.00 | −0.442298 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 1428.00 | 0.248297 | ||||||||
\(322\) | 1216.00 | + | 3217.23i | 0.210450 | + | 0.556799i | ||||
\(323\) | − | 518.567i | − | 0.0893308i | ||||||
\(324\) | 4530.00 | − | 3995.08i | 0.776749 | − | 0.685028i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −4690.00 | + | 1772.65i | −0.796795 | + | 0.301160i | ||||
\(327\) | −10024.0 | −1.69519 | ||||||||
\(328\) | 1400.00 | + | 740.810i | 0.235677 | + | 0.124709i | ||||
\(329\) | −2688.00 | −0.450438 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | − | 4249.08i | − | 0.705590i | −0.935701 | − | 0.352795i | \(-0.885231\pi\) | ||
0.935701 | − | 0.352795i | \(-0.114769\pi\) | |||||||
\(332\) | −2884.00 | − | 3270.15i | −0.476747 | − | 0.540580i | ||||
\(333\) | 243.409i | 0.0400563i | ||||||||
\(334\) | 1960.00 | + | 5185.67i | 0.321097 | + | 0.849543i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −2688.00 | − | 338.656i | −0.436436 | − | 0.0549857i | ||||
\(337\) | −6130.00 | −0.990868 | −0.495434 | − | 0.868646i | \(-0.664991\pi\) | ||||
−0.495434 | + | 0.868646i | \(0.664991\pi\) | |||||||
\(338\) | −603.000 | − | 1595.39i | −0.0970381 | − | 0.256739i | ||||
\(339\) | − | 9048.47i | − | 1.44969i | ||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | − | 3555.89i | − | 0.564699i | ||||||
\(342\) | −98.0000 | + | 37.0405i | −0.0154948 | + | 0.00585650i | ||||
\(343\) | −4976.00 | −0.783320 | ||||||||
\(344\) | 4648.00 | − | 8783.89i | 0.728498 | − | 1.37673i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 5292.00 | − | 2000.19i | 0.822253 | − | 0.310783i | ||||
\(347\) | − | 2481.71i | − | 0.383935i | −0.981401 | − | 0.191967i | \(-0.938513\pi\) | ||
0.981401 | − | 0.191967i | \(-0.0614868\pi\) | |||||||
\(348\) | 5040.00 | − | 4444.86i | 0.776357 | − | 0.684683i | ||||
\(349\) | − | 328.073i | − | 0.0503191i | −0.999683 | − | 0.0251595i | \(-0.991991\pi\) | ||
0.999683 | − | 0.0251595i | \(-0.00800937\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −7280.00 | −1.10706 | ||||||||
\(352\) | −672.000 | − | 2793.91i | −0.101755 | − | 0.423057i | ||||
\(353\) | 10206.0 | 1.53884 | 0.769420 | − | 0.638743i | \(-0.220545\pi\) | ||||
0.769420 | + | 0.638743i | \(0.220545\pi\) | |||||||
\(354\) | 2828.00 | + | 7482.18i | 0.424595 | + | 1.12337i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −1596.00 | + | 1407.54i | −0.237606 | + | 0.209549i | ||||
\(357\) | − | 592.648i | − | 0.0878607i | ||||||
\(358\) | −8638.00 | + | 3264.86i | −1.27523 | + | 0.481992i | ||||
\(359\) | −3176.00 | −0.466916 | −0.233458 | − | 0.972367i | \(-0.575004\pi\) | ||||
−0.233458 | + | 0.972367i | \(0.575004\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 5487.00 | 0.799971 | ||||||||
\(362\) | 6188.00 | − | 2338.84i | 0.898437 | − | 0.339577i | ||||
\(363\) | − | 5709.53i | − | 0.825545i | ||||||
\(364\) | 2240.00 | + | 2539.92i | 0.322549 | + | 0.365736i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 504.000 | + | 1333.46i | 0.0719795 | + | 0.190440i | ||||
\(367\) | 11760.0 | 1.67266 | 0.836331 | − | 0.548225i | \(-0.184696\pi\) | ||||
0.836331 | + | 0.548225i | \(0.184696\pi\) | |||||||
\(368\) | 1216.00 | − | 9651.70i | 0.172251 | − | 1.36720i | ||||
\(369\) | 70.0000 | 0.00987549 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | − | 253.992i | − | 0.0355434i | ||||||
\(372\) | 6272.00 | + | 7111.78i | 0.874161 | + | 0.991206i | ||||
\(373\) | 10974.6i | 1.52344i | 0.647908 | + | 0.761719i | \(0.275644\pi\) | ||||
−0.647908 | + | 0.761719i | \(0.724356\pi\) | |||||||
\(374\) | 588.000 | − | 222.243i | 0.0812961 | − | 0.0307271i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 6720.00 | + | 3555.89i | 0.921696 | + | 0.487715i | ||||
\(377\) | −8400.00 | −1.14754 | ||||||||
\(378\) | 2912.00 | − | 1100.63i | 0.396236 | − | 0.149763i | ||||
\(379\) | 3074.36i | 0.416674i | 0.978057 | + | 0.208337i | \(0.0668051\pi\) | ||||
−0.978057 | + | 0.208337i | \(0.933195\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | − | 8805.06i | − | 1.18398i | ||||||
\(382\) | 3904.00 | + | 10329.0i | 0.522895 | + | 1.38345i | ||||
\(383\) | −2688.00 | −0.358617 | −0.179309 | − | 0.983793i | \(-0.557386\pi\) | ||||
−0.179309 | + | 0.983793i | \(0.557386\pi\) | |||||||
\(384\) | 6272.00 | + | 4402.53i | 0.833507 | + | 0.585067i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −3330.00 | − | 8810.35i | −0.439100 | − | 1.16175i | ||||
\(387\) | − | 439.195i | − | 0.0576887i | ||||||
\(388\) | 5964.00 | − | 5259.75i | 0.780351 | − | 0.688205i | ||||
\(389\) | 10487.8i | 1.36697i | 0.729966 | + | 0.683484i | \(0.239536\pi\) | ||||
−0.729966 | + | 0.683484i | \(0.760464\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 2128.00 | 0.275237 | ||||||||
\(392\) | 5580.00 | + | 2952.66i | 0.718961 | + | 0.380438i | ||||
\(393\) | −3556.00 | −0.456429 | ||||||||
\(394\) | −3164.00 | + | 1195.88i | −0.404569 | + | 0.152913i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −84.0000 | − | 95.2470i | −0.0106595 | − | 0.0120867i | ||||
\(397\) | 5704.24i | 0.721127i | 0.932735 | + | 0.360564i | \(0.117416\pi\) | ||||
−0.932735 | + | 0.360564i | \(0.882584\pi\) | |||||||
\(398\) | −1736.00 | − | 4593.02i | −0.218638 | − | 0.578461i | ||||
\(399\) | −1568.00 | −0.196737 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 12402.0 | 1.54445 | 0.772227 | − | 0.635346i | \(-0.219143\pi\) | ||||
0.772227 | + | 0.635346i | \(0.219143\pi\) | |||||||
\(402\) | −924.000 | − | 2444.67i | −0.114639 | − | 0.303307i | ||||
\(403\) | − | 11853.0i | − | 1.46511i | ||||||
\(404\) | −3976.00 | − | 4508.36i | −0.489637 | − | 0.555196i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 3360.00 | − | 1269.96i | 0.410724 | − | 0.155239i | ||||
\(407\) | −3864.00 | −0.470593 | ||||||||
\(408\) | −784.000 | + | 1481.62i | −0.0951318 | + | 0.179782i | ||||
\(409\) | −12278.0 | −1.48437 | −0.742186 | − | 0.670194i | \(-0.766211\pi\) | ||||
−0.742186 | + | 0.670194i | \(0.766211\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | − | 5619.58i | − | 0.674436i | ||||||
\(412\) | 7056.00 | − | 6222.81i | 0.843748 | − | 0.744116i | ||||
\(413\) | 4275.53i | 0.509407i | ||||||||
\(414\) | −152.000 | − | 402.154i | −0.0180444 | − | 0.0477411i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −2240.00 | − | 9313.04i | −0.264002 | − | 1.09762i | ||||
\(417\) | 14252.0 | 1.67368 | ||||||||
\(418\) | −588.000 | − | 1555.70i | −0.0688039 | − | 0.182038i | ||||
\(419\) | − | 8207.12i | − | 0.956907i | −0.878113 | − | 0.478454i | \(-0.841198\pi\) | ||
0.878113 | − | 0.478454i | \(-0.158802\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | − | 1449.87i | − | 0.167844i | −0.996472 | − | 0.0839221i | \(-0.973255\pi\) | ||
0.996472 | − | 0.0839221i | \(-0.0267447\pi\) | |||||||
\(422\) | 7714.00 | − | 2915.62i | 0.889838 | − | 0.336327i | ||||
\(423\) | 336.000 | 0.0386215 | ||||||||
\(424\) | −336.000 | + | 634.980i | −0.0384849 | + | 0.0727296i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −1008.00 | + | 380.988i | −0.114643 | + | 0.0433308i | ||||
\(427\) | 761.976i | 0.0863574i | ||||||||
\(428\) | −1428.00 | − | 1619.20i | −0.161273 | − | 0.182867i | ||||
\(429\) | 4444.86i | 0.500233i | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 7632.00 | 0.852948 | 0.426474 | − | 0.904500i | \(-0.359756\pi\) | ||||
0.426474 | + | 0.904500i | \(0.359756\pi\) | |||||||
\(432\) | −8736.00 | − | 1100.63i | −0.972942 | − | 0.122579i | ||||
\(433\) | −3794.00 | −0.421081 | −0.210540 | − | 0.977585i | \(-0.567522\pi\) | ||||
−0.210540 | + | 0.977585i | \(0.567522\pi\) | |||||||
\(434\) | 1792.00 | + | 4741.19i | 0.198200 | + | 0.524388i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 10024.0 | + | 11366.1i | 1.10106 | + | 1.24849i | ||||
\(437\) | − | 5630.16i | − | 0.616309i | ||||||
\(438\) | 4116.00 | − | 1555.70i | 0.449018 | − | 0.169713i | ||||
\(439\) | −1848.00 | −0.200912 | −0.100456 | − | 0.994942i | \(-0.532030\pi\) | ||||
−0.100456 | + | 0.994942i | \(0.532030\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 279.000 | 0.0301263 | ||||||||
\(442\) | 1960.00 | − | 740.810i | 0.210922 | − | 0.0797212i | ||||
\(443\) | 12334.5i | 1.32287i | 0.750004 | + | 0.661433i | \(0.230051\pi\) | ||||
−0.750004 | + | 0.661433i | \(0.769949\pi\) | |||||||
\(444\) | 7728.00 | − | 6815.46i | 0.826024 | − | 0.728485i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −1568.00 | − | 4148.54i | −0.166473 | − | 0.440446i | ||||
\(447\) | 4200.00 | 0.444414 | ||||||||
\(448\) | 2304.00 | + | 3386.56i | 0.242977 | + | 0.357143i | ||||
\(449\) | −3582.00 | −0.376492 | −0.188246 | − | 0.982122i | \(-0.560280\pi\) | ||||
−0.188246 | + | 0.982122i | \(0.560280\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 1111.22i | 0.116020i | ||||||||
\(452\) | −10260.0 | + | 9048.47i | −1.06768 | + | 0.941602i | ||||
\(453\) | − | 3936.88i | − | 0.408324i | ||||||
\(454\) | −3346.00 | + | 1264.67i | −0.345893 | + | 0.130735i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 3920.00 | + | 2074.27i | 0.402568 | + | 0.213019i | ||||
\(457\) | −2714.00 | −0.277802 | −0.138901 | − | 0.990306i | \(-0.544357\pi\) | ||||
−0.138901 | + | 0.990306i | \(0.544357\pi\) | |||||||
\(458\) | −13636.0 | + | 5153.92i | −1.39120 | + | 0.525823i | ||||
\(459\) | − | 1926.11i | − | 0.195867i | ||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 8349.99i | 0.843596i | 0.906690 | + | 0.421798i | \(0.138601\pi\) | ||||
−0.906690 | + | 0.421798i | \(0.861399\pi\) | |||||||
\(462\) | −672.000 | − | 1777.94i | −0.0676716 | − | 0.179042i | ||||
\(463\) | −2224.00 | −0.223236 | −0.111618 | − | 0.993751i | \(-0.535603\pi\) | ||||
−0.111618 | + | 0.993751i | \(0.535603\pi\) | |||||||
\(464\) | −10080.0 | − | 1269.96i | −1.00852 | − | 0.127061i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 838.000 | + | 2217.14i | 0.0833039 | + | 0.220401i | ||||
\(467\) | − | 10292.0i | − | 1.01982i | −0.860228 | − | 0.509910i | \(-0.829679\pi\) | ||
0.860228 | − | 0.509910i | \(-0.170321\pi\) | |||||||
\(468\) | −280.000 | − | 317.490i | −0.0276560 | − | 0.0313589i | ||||
\(469\) | − | 1396.96i | − | 0.137538i | ||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −952.000 | −0.0931334 | ||||||||
\(472\) | 5656.00 | − | 10688.8i | 0.551565 | − | 1.04236i | ||||
\(473\) | 6972.00 | 0.677744 | ||||||||
\(474\) | −6496.00 | + | 2455.26i | −0.629475 | + | 0.237919i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −672.000 | + | 592.648i | −0.0647081 | + | 0.0570672i | ||||
\(477\) | 31.7490i | 0.00304756i | ||||||||
\(478\) | 6288.00 | + | 16636.5i | 0.601687 | + | 1.59191i | ||||
\(479\) | 17696.0 | 1.68800 | 0.843999 | − | 0.536345i | \(-0.180195\pi\) | ||||
0.843999 | + | 0.536345i | \(0.180195\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −12880.0 | −1.22095 | ||||||||
\(482\) | −2926.00 | − | 7741.47i | −0.276505 | − | 0.731565i | ||||
\(483\) | − | 6434.47i | − | 0.606166i | ||||||
\(484\) | −6474.00 | + | 5709.53i | −0.608002 | + | 0.536207i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −742.000 | + | 280.450i | −0.0692547 | + | 0.0261758i | ||||
\(487\) | −1304.00 | −0.121334 | −0.0606672 | − | 0.998158i | \(-0.519323\pi\) | ||||
−0.0606672 | + | 0.998158i | \(0.519323\pi\) | |||||||
\(488\) | 1008.00 | − | 1904.94i | 0.0935041 | − | 0.176706i | ||||
\(489\) | 9380.00 | 0.867440 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 16662.9i | 1.53154i | 0.643112 | + | 0.765772i | \(0.277643\pi\) | ||||
−0.643112 | + | 0.765772i | \(0.722357\pi\) | |||||||
\(492\) | −1960.00 | − | 2222.43i | −0.179601 | − | 0.203648i | ||||
\(493\) | − | 2222.43i | − | 0.203029i | ||||||
\(494\) | −1960.00 | − | 5185.67i | −0.178511 | − | 0.472296i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 1792.00 | − | 14223.6i | 0.162224 | − | 1.28761i | ||||
\(497\) | −576.000 | −0.0519862 | ||||||||
\(498\) | 2884.00 | + | 7630.35i | 0.259508 | + | 0.686594i | ||||
\(499\) | 3095.53i | 0.277705i | 0.990313 | + | 0.138853i | \(0.0443414\pi\) | ||||
−0.990313 | + | 0.138853i | \(0.955659\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | − | 10371.3i | − | 0.924865i | ||||||
\(502\) | −14406.0 | + | 5444.96i | −1.28082 | + | 0.484104i | ||||
\(503\) | 19320.0 | 1.71260 | 0.856298 | − | 0.516481i | \(-0.172758\pi\) | ||||
0.856298 | + | 0.516481i | \(0.172758\pi\) | |||||||
\(504\) | 160.000 | + | 84.6640i | 0.0141408 | + | 0.00748261i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 6384.00 | − | 2412.93i | 0.560876 | − | 0.211991i | ||||
\(507\) | 3190.78i | 0.279502i | ||||||||
\(508\) | −9984.00 | + | 8805.06i | −0.871985 | + | 0.769018i | ||||
\(509\) | − | 4476.61i | − | 0.389828i | −0.980820 | − | 0.194914i | \(-0.937557\pi\) | ||
0.980820 | − | 0.194914i | \(-0.0624427\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 2352.00 | 0.203613 | ||||||||
\(512\) | −1280.00 | − | 11514.3i | −0.110485 | − | 0.993878i | ||||
\(513\) | −5096.00 | −0.438585 | ||||||||
\(514\) | −2562.00 | − | 6778.41i | −0.219854 | − | 0.581679i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −13944.0 | + | 12297.5i | −1.18963 | + | 1.04916i | ||||
\(517\) | 5333.83i | 0.453737i | ||||||||
\(518\) | 5152.00 | − | 1947.27i | 0.437000 | − | 0.165170i | ||||
\(519\) | −10584.0 | −0.895156 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −2982.00 | −0.250756 | −0.125378 | − | 0.992109i | \(-0.540014\pi\) | ||||
−0.125378 | + | 0.992109i | \(0.540014\pi\) | |||||||
\(522\) | −420.000 | + | 158.745i | −0.0352163 | + | 0.0133105i | ||||
\(523\) | − | 2016.06i | − | 0.168559i | −0.996442 | − | 0.0842794i | \(-0.973141\pi\) | ||
0.996442 | − | 0.0842794i | \(-0.0268588\pi\) | |||||||
\(524\) | 3556.00 | + | 4032.12i | 0.296459 | + | 0.336153i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 5896.00 | + | 15599.3i | 0.488741 | + | 1.29309i | ||||
\(527\) | 3136.00 | 0.259215 | ||||||||
\(528\) | −672.000 | + | 5333.83i | −0.0553883 | + | 0.439631i | ||||
\(529\) | 10937.0 | 0.898907 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | − | 534.442i | − | 0.0436776i | ||||||
\(532\) | 1568.00 | + | 1777.94i | 0.127785 | + | 0.144894i | ||||
\(533\) | 3704.05i | 0.301014i | ||||||||
\(534\) | 3724.00 | − | 1407.54i | 0.301785 | − | 0.114064i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −1848.00 | + | 3492.39i | −0.148921 | + | 0.281433i | ||||
\(537\) | 17276.0 | 1.38830 | ||||||||
\(538\) | 14196.0 | − | 5365.58i | 1.13761 | − | 0.429975i | ||||
\(539\) | 4428.99i | 0.353933i | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 15419.4i | 1.22539i | 0.790321 | + | 0.612693i | \(0.209914\pi\) | ||||
−0.790321 | + | 0.612693i | \(0.790086\pi\) | |||||||
\(542\) | −1680.00 | − | 4444.86i | −0.133141 | − | 0.352257i | ||||
\(543\) | −12376.0 | −0.978094 | ||||||||
\(544\) | 2464.00 | − | 592.648i | 0.194197 | − | 0.0467088i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −2240.00 | − | 5926.48i | −0.175574 | − | 0.464524i | ||||
\(547\) | 12609.7i | 0.985649i | 0.870129 | + | 0.492824i | \(0.164035\pi\) | ||||
−0.870129 | + | 0.492824i | \(0.835965\pi\) | |||||||
\(548\) | −6372.00 | + | 5619.58i | −0.496712 | + | 0.438059i | ||||
\(549\) | − | 95.2470i | − | 0.00740445i | ||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −5880.00 | −0.454621 | ||||||||
\(552\) | −8512.00 | + | 16086.2i | −0.656331 | + | 1.24035i | ||||
\(553\) | −3712.00 | −0.285444 | ||||||||
\(554\) | −4172.00 | + | 1576.87i | −0.319948 | + | 0.120929i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −14252.0 | − | 16160.2i | −1.08709 | − | 1.23264i | ||||
\(557\) | 7143.53i | 0.543413i | 0.962380 | + | 0.271706i | \(0.0875880\pi\) | ||||
−0.962380 | + | 0.271706i | \(0.912412\pi\) | |||||||
\(558\) | −224.000 | − | 592.648i | −0.0169940 | − | 0.0449620i | ||||
\(559\) | 23240.0 | 1.75840 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −1176.00 | −0.0885040 | ||||||||
\(562\) | −2742.00 | − | 7254.65i | −0.205808 | − | 0.544518i | ||||
\(563\) | 7572.14i | 0.566834i | 0.958997 | + | 0.283417i | \(0.0914681\pi\) | ||||
−0.958997 | + | 0.283417i | \(0.908532\pi\) | |||||||
\(564\) | −9408.00 | − | 10667.7i | −0.702391 | − | 0.796436i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 7910.00 | − | 2989.70i | 0.587424 | − | 0.222025i | ||||
\(567\) | −6040.00 | −0.447365 | ||||||||
\(568\) | 1440.00 | + | 761.976i | 0.106375 | + | 0.0562884i | ||||
\(569\) | 15594.0 | 1.14892 | 0.574459 | − | 0.818533i | \(-0.305212\pi\) | ||||
0.574459 | + | 0.818533i | \(0.305212\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | − | 16737.0i | − | 1.22666i | −0.789827 | − | 0.613330i | \(-0.789830\pi\) | ||
0.789827 | − | 0.613330i | \(-0.210170\pi\) | |||||||
\(572\) | 5040.00 | − | 4444.86i | 0.368414 | − | 0.324911i | ||||
\(573\) | − | 20658.0i | − | 1.50611i | ||||||
\(574\) | −560.000 | − | 1481.62i | −0.0407212 | − | 0.107738i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −288.000 | − | 423.320i | −0.0208333 | − | 0.0306221i | ||||
\(577\) | −6594.00 | −0.475757 | −0.237879 | − | 0.971295i | \(-0.576452\pi\) | ||||
−0.237879 | + | 0.971295i | \(0.576452\pi\) | |||||||
\(578\) | −4717.00 | − | 12480.0i | −0.339449 | − | 0.898097i | ||||
\(579\) | 17620.7i | 1.26475i | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 4360.20i | 0.311345i | ||||||||
\(582\) | −13916.0 | + | 5259.75i | −0.991128 | + | 0.374611i | ||||
\(583\) | −504.000 | −0.0358037 | ||||||||
\(584\) | −5880.00 | − | 3111.40i | −0.416637 | − | 0.220464i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −24444.0 | + | 9238.96i | −1.72316 | + | 0.651294i | ||||
\(587\) | 23213.8i | 1.63226i | 0.577868 | + | 0.816130i | \(0.303885\pi\) | ||||
−0.577868 | + | 0.816130i | \(0.696115\pi\) | |||||||
\(588\) | −7812.00 | − | 8857.98i | −0.547894 | − | 0.621253i | ||||
\(589\) | − | 8297.08i | − | 0.580433i | ||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 6328.00 | 0.440438 | ||||||||
\(592\) | −15456.0 | − | 1947.27i | −1.07304 | − | 0.135190i | ||||
\(593\) | −14322.0 | −0.991794 | −0.495897 | − | 0.868381i | \(-0.665161\pi\) | ||||
−0.495897 | + | 0.868381i | \(0.665161\pi\) | |||||||
\(594\) | −2184.00 | − | 5778.32i | −0.150860 | − | 0.399137i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −4200.00 | − | 4762.35i | −0.288656 | − | 0.327305i | ||||
\(597\) | 9186.05i | 0.629749i | ||||||||
\(598\) | 21280.0 | − | 8043.08i | 1.45519 | − | 0.550010i | ||||
\(599\) | −16088.0 | −1.09739 | −0.548696 | − | 0.836022i | \(-0.684876\pi\) | ||||
−0.548696 | + | 0.836022i | \(0.684876\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −21238.0 | −1.44146 | −0.720729 | − | 0.693217i | \(-0.756193\pi\) | ||||
−0.720729 | + | 0.693217i | \(0.756193\pi\) | |||||||
\(602\) | −9296.00 | + | 3513.56i | −0.629363 | + | 0.237877i | ||||
\(603\) | 174.620i | 0.0117928i | ||||||||
\(604\) | −4464.00 | + | 3936.88i | −0.300724 | + | 0.265214i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 3976.00 | + | 10519.5i | 0.266525 | + | 0.705158i | ||||
\(607\) | 13664.0 | 0.913681 | 0.456841 | − | 0.889549i | \(-0.348981\pi\) | ||||
0.456841 | + | 0.889549i | \(0.348981\pi\) | |||||||
\(608\) | −1568.00 | − | 6519.13i | −0.104590 | − | 0.434845i | ||||
\(609\) | −6720.00 | −0.447140 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 17779.4i | 1.17722i | ||||||||
\(612\) | 84.0000 | − | 74.0810i | 0.00554820 | − | 0.00489305i | ||||
\(613\) | − | 20393.5i | − | 1.34369i | −0.740690 | − | 0.671846i | \(-0.765501\pi\) | ||
0.740690 | − | 0.671846i | \(-0.234499\pi\) | |||||||
\(614\) | 6846.00 | − | 2587.54i | 0.449971 | − | 0.170073i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −1344.00 | + | 2539.92i | −0.0879080 | + | 0.166130i | ||||
\(617\) | 3782.00 | 0.246771 | 0.123385 | − | 0.992359i | \(-0.460625\pi\) | ||||
0.123385 | + | 0.992359i | \(0.460625\pi\) | |||||||
\(618\) | −16464.0 | + | 6222.81i | −1.07165 | + | 0.405045i | ||||
\(619\) | 5825.94i | 0.378295i | 0.981949 | + | 0.189147i | \(0.0605724\pi\) | ||||
−0.981949 | + | 0.189147i | \(0.939428\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | − | 20912.0i | − | 1.35132i | ||||||
\(622\) | −2744.00 | − | 7259.94i | −0.176888 | − | 0.468002i | ||||
\(623\) | 2128.00 | 0.136848 | ||||||||
\(624\) | −2240.00 | + | 17779.4i | −0.143705 | + | 1.14062i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −2282.00 | − | 6037.60i | −0.145698 | − | 0.385481i | ||||
\(627\) | 3111.40i | 0.198178i | ||||||||
\(628\) | 952.000 | + | 1079.47i | 0.0604919 | + | 0.0685914i | ||||
\(629\) | − | 3407.73i | − | 0.216017i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 2056.00 | 0.129712 | 0.0648558 | − | 0.997895i | \(-0.479341\pi\) | ||||
0.0648558 | + | 0.997895i | \(0.479341\pi\) | |||||||
\(632\) | 9280.00 | + | 4910.51i | 0.584080 | + | 0.309066i | ||||
\(633\) | −15428.0 | −0.968733 | ||||||||
\(634\) | 25340.0 | − | 9577.62i | 1.58735 | − | 0.599962i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 1008.00 | − | 888.972i | 0.0628456 | − | 0.0554246i | ||||
\(637\) | 14763.3i | 0.918278i | ||||||||
\(638\) | −2520.00 | − | 6667.29i | −0.156376 | − | 0.413731i | ||||
\(639\) | 72.0000 | 0.00445740 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 11842.0 | 0.729689 | 0.364845 | − | 0.931068i | \(-0.381122\pi\) | ||||
0.364845 | + | 0.931068i | \(0.381122\pi\) | |||||||
\(642\) | 1428.00 | + | 3778.13i | 0.0877861 | + | 0.232260i | ||||
\(643\) | 16250.2i | 0.996649i | 0.866991 | + | 0.498325i | \(0.166051\pi\) | ||||
−0.866991 | + | 0.498325i | \(0.833949\pi\) | |||||||
\(644\) | −7296.00 | + | 6434.47i | −0.446433 | + | 0.393717i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 1372.00 | − | 518.567i | 0.0835613 | − | 0.0315832i | ||||
\(647\) | −19320.0 | −1.17395 | −0.586976 | − | 0.809604i | \(-0.699682\pi\) | ||||
−0.586976 | + | 0.809604i | \(0.699682\pi\) | |||||||
\(648\) | 15100.0 | + | 7990.17i | 0.915407 | + | 0.484388i | ||||
\(649\) | 8484.00 | 0.513137 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | − | 9482.37i | − | 0.570881i | ||||||
\(652\) | −9380.00 | − | 10635.9i | −0.563419 | − | 0.638857i | ||||
\(653\) | 2317.68i | 0.138894i | 0.997586 | + | 0.0694470i | \(0.0221235\pi\) | ||||
−0.997586 | + | 0.0694470i | \(0.977877\pi\) | |||||||
\(654\) | −10024.0 | − | 26521.0i | −0.599342 | − | 1.58571i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −560.000 | + | 4444.86i | −0.0333298 | + | 0.264547i | ||||
\(657\) | −294.000 | −0.0174582 | ||||||||
\(658\) | −2688.00 | − | 7111.78i | −0.159254 | − | 0.421347i | ||||
\(659\) | 27732.8i | 1.63932i | 0.572847 | + | 0.819662i | \(0.305839\pi\) | ||||
−0.572847 | + | 0.819662i | \(0.694161\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 22467.7i | 1.32208i | 0.750352 | + | 0.661039i | \(0.229884\pi\) | ||||
−0.750352 | + | 0.661039i | \(0.770116\pi\) | |||||||
\(662\) | 11242.0 | − | 4249.08i | 0.660019 | − | 0.249464i | ||||
\(663\) | −3920.00 | −0.229623 | ||||||||
\(664\) | 5768.00 | − | 10900.5i | 0.337111 | − | 0.637080i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −644.000 | + | 243.409i | −0.0374692 | + | 0.0141620i | ||||
\(667\) | − | 24129.3i | − | 1.40073i | ||||||
\(668\) | −11760.0 | + | 10371.3i | −0.681150 | + | 0.600718i | ||||
\(669\) | 8297.08i | 0.479497i | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 1512.00 | 0.0869897 | ||||||||
\(672\) | −1792.00 | − | 7450.44i | −0.102869 | − | 0.427689i | ||||
\(673\) | 10078.0 | 0.577234 | 0.288617 | − | 0.957445i | \(-0.406805\pi\) | ||||
0.288617 | + | 0.957445i | \(0.406805\pi\) | |||||||
\(674\) | −6130.00 | − | 16218.5i | −0.350325 | − | 0.926872i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 3618.00 | − | 3190.78i | 0.205849 | − | 0.181542i | ||||
\(677\) | − | 16160.2i | − | 0.917413i | −0.888588 | − | 0.458707i | \(-0.848313\pi\) | ||
0.888588 | − | 0.458707i | \(-0.151687\pi\) | |||||||
\(678\) | 23940.0 | − | 9048.47i | 1.35606 | − | 0.512543i | ||||
\(679\) | −7952.00 | −0.449440 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 6692.00 | 0.376561 | ||||||||
\(682\) | 9408.00 | − | 3555.89i | 0.528227 | − | 0.199651i | ||||
\(683\) | 16356.0i | 0.916320i | 0.888870 | + | 0.458160i | \(0.151491\pi\) | ||||
−0.888870 | + | 0.458160i | \(0.848509\pi\) | |||||||
\(684\) | −196.000 | − | 222.243i | −0.0109565 | − | 0.0124235i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −4976.00 | − | 13165.3i | −0.276945 | − | 0.732729i | ||||
\(687\) | 27272.0 | 1.51454 | ||||||||
\(688\) | 27888.0 | + | 3513.56i | 1.54538 | + | 0.194699i | ||||
\(689\) | −1680.00 | −0.0928925 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | − | 29246.1i | − | 1.61009i | −0.593211 | − | 0.805047i | \(-0.702140\pi\) | ||
0.593211 | − | 0.805047i | \(-0.297860\pi\) | |||||||
\(692\) | 10584.0 | + | 12001.1i | 0.581421 | + | 0.659269i | ||||
\(693\) | 126.996i | 0.00696130i | ||||||||
\(694\) | 6566.00 | − | 2481.71i | 0.359138 | − | 0.135742i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 16800.0 | + | 8889.72i | 0.914946 | + | 0.484144i | ||||
\(697\) | −980.000 | −0.0532570 | ||||||||
\(698\) | 868.000 | − | 328.073i | 0.0470692 | − | 0.0177905i | ||||
\(699\) | − | 4434.28i | − | 0.239943i | ||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 2465.84i | 0.132858i | 0.997791 | + | 0.0664290i | \(0.0211606\pi\) | ||||
−0.997791 | + | 0.0664290i | \(0.978839\pi\) | |||||||
\(702\) | −7280.00 | − | 19261.1i | −0.391404 | − | 1.03556i | ||||
\(703\) | −9016.00 | −0.483705 | ||||||||
\(704\) | 6720.00 | − | 4571.86i | 0.359758 | − | 0.244756i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 10206.0 | + | 27002.5i | 0.544062 | + | 1.43945i | ||||
\(707\) | 6011.15i | 0.319763i | ||||||||
\(708\) | −16968.0 | + | 14964.4i | −0.900701 | + | 0.794344i | ||||
\(709\) | − | 31674.9i | − | 1.67782i | −0.544267 | − | 0.838912i | \(-0.683192\pi\) | ||
0.544267 | − | 0.838912i | \(-0.316808\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 464.000 | 0.0244745 | ||||||||
\(712\) | −5320.00 | − | 2815.08i | −0.280022 | − | 0.148174i | ||||
\(713\) | 34048.0 | 1.78837 | ||||||||
\(714\) | 1568.00 | − | 592.648i | 0.0821862 | − | 0.0310635i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −17276.0 | − | 19589.1i | −0.901724 | − | 1.02246i | ||||
\(717\) | − | 33273.0i | − | 1.73306i | ||||||
\(718\) | −3176.00 | − | 8402.91i | −0.165080 | − | 0.436760i | ||||
\(719\) | −9296.00 | −0.482173 | −0.241086 | − | 0.970504i | \(-0.577504\pi\) | ||||
−0.241086 | + | 0.970504i | \(0.577504\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −9408.00 | −0.485953 | ||||||||
\(722\) | 5487.00 | + | 14517.2i | 0.282832 | + | 0.748304i | ||||
\(723\) | 15482.9i | 0.796427i | ||||||||
\(724\) | 12376.0 | + | 14033.1i | 0.635291 | + | 0.720352i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 15106.0 | − | 5709.53i | 0.772226 | − | 0.291874i | ||||
\(727\) | −21672.0 | −1.10560 | −0.552799 | − | 0.833315i | \(-0.686440\pi\) | ||||
−0.552799 | + | 0.833315i | \(0.686440\pi\) | |||||||
\(728\) | −4480.00 | + | 8466.40i | −0.228077 | + | 0.431024i | ||||
\(729\) | −18901.0 | −0.960270 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 6148.73i | 0.311106i | ||||||||
\(732\) | −3024.00 | + | 2666.92i | −0.152692 | + | 0.134661i | ||||
\(733\) | 9471.79i | 0.477283i | 0.971108 | + | 0.238642i | \(0.0767021\pi\) | ||||
−0.971108 | + | 0.238642i | \(0.923298\pi\) | |||||||
\(734\) | 11760.0 | + | 31114.0i | 0.591375 | + | 1.56463i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 26752.0 | − | 6434.47i | 1.33980 | − | 0.322252i | ||||
\(737\) | −2772.00 | −0.138545 | ||||||||
\(738\) | 70.0000 | + | 185.203i | 0.00349151 | + | 0.00923767i | ||||
\(739\) | 6863.08i | 0.341627i | 0.985303 | + | 0.170814i | \(0.0546396\pi\) | ||||
−0.985303 | + | 0.170814i | \(0.945360\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 10371.3i | 0.514171i | ||||||||
\(742\) | 672.000 | − | 253.992i | 0.0332478 | − | 0.0125665i | ||||
\(743\) | −17432.0 | −0.860724 | −0.430362 | − | 0.902656i | \(-0.641614\pi\) | ||||
−0.430362 | + | 0.902656i | \(0.641614\pi\) | |||||||
\(744\) | −12544.0 | + | 23705.9i | −0.618125 | + | 1.16815i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −29036.0 | + | 10974.6i | −1.42504 | + | 0.538616i | ||||
\(747\) | − | 545.025i | − | 0.0266953i | ||||||
\(748\) | 1176.00 | + | 1333.46i | 0.0574851 | + | 0.0651819i | ||||
\(749\) | 2158.93i | 0.105321i | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −11632.0 | −0.565190 | −0.282595 | − | 0.959239i | \(-0.591195\pi\) | ||||
−0.282595 | + | 0.959239i | \(0.591195\pi\) | |||||||
\(752\) | −2688.00 | + | 21335.3i | −0.130347 | + | 1.03460i | ||||
\(753\) | 28812.0 | 1.39438 | ||||||||
\(754\) | −8400.00 | − | 22224.3i | −0.405716 | − | 1.07342i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 5824.00 | + | 6603.80i | 0.280181 | + | 0.317695i | ||||
\(757\) | 16731.7i | 0.803336i | 0.915785 | + | 0.401668i | \(0.131569\pi\) | ||||
−0.915785 | + | 0.401668i | \(0.868431\pi\) | |||||||
\(758\) | −8134.00 | + | 3074.36i | −0.389763 | + | 0.147316i | ||||
\(759\) | −12768.0 | −0.610605 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 39466.0 | 1.87995 | 0.939975 | − | 0.341244i | \(-0.110848\pi\) | ||||
0.939975 | + | 0.341244i | \(0.110848\pi\) | |||||||
\(762\) | 23296.0 | − | 8805.06i | 1.10751 | − | 0.418601i | ||||
\(763\) | − | 15154.9i | − | 0.719060i | ||||||
\(764\) | −23424.0 | + | 20658.0i | −1.10923 | + | 0.978248i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −2688.00 | − | 7111.78i | −0.126790 | − | 0.335456i | ||||
\(767\) | 28280.0 | 1.33133 | ||||||||
\(768\) | −5376.00 | + | 20996.7i | −0.252591 | + | 0.986527i | ||||
\(769\) | 35266.0 | 1.65374 | 0.826869 | − | 0.562395i | \(-0.190120\pi\) | ||||
0.826869 | + | 0.562395i | \(0.190120\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 13556.8i | 0.633252i | ||||||||
\(772\) | 19980.0 | − | 17620.7i | 0.931471 | − | 0.821481i | ||||
\(773\) | − | 16244.9i | − | 0.755872i | −0.925832 | − | 0.377936i | \(-0.876634\pi\) | ||
0.925832 | − | 0.377936i | \(-0.123366\pi\) | |||||||
\(774\) | 1162.00 | − | 439.195i | 0.0539628 | − | 0.0203960i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 19880.0 | + | 10519.5i | 0.919653 | + | 0.486634i | ||||
\(777\) | −10304.0 | −0.475745 | ||||||||
\(778\) | −27748.0 | + | 10487.8i | −1.27868 | + | 0.483296i | ||||
\(779\) | 2592.84i | 0.119253i | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 1142.96i | 0.0523668i | ||||||||
\(782\) | 2128.00 | + | 5630.16i | 0.0973109 | + | 0.257460i | ||||
\(783\) | −21840.0 | −0.996805 | ||||||||
\(784\) | −2232.00 | + | 17716.0i | −0.101676 | + | 0.807031i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | −3556.00 | − | 9408.29i | −0.161372 | − | 0.426950i | ||||
\(787\) | − | 34844.5i | − | 1.57824i | −0.614240 | − | 0.789119i | \(-0.710537\pi\) | ||
0.614240 | − | 0.789119i | \(-0.289463\pi\) | |||||||
\(788\) | −6328.00 | − | 7175.28i | −0.286073 | − | 0.324376i | ||||
\(789\) | − | 31198.7i | − | 1.40774i | ||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 13680.0 | 0.614924 | ||||||||
\(792\) | 168.000 | − | 317.490i | 0.00753740 | − | 0.0142443i | ||||
\(793\) | 5040.00 | 0.225694 | ||||||||
\(794\) | −15092.0 | + | 5704.24i | −0.674553 | + | 0.254957i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 10416.0 | − | 9186.05i | 0.463801 | − | 0.409034i | ||||
\(797\) | − | 2550.50i | − | 0.113354i | −0.998393 | − | 0.0566772i | \(-0.981949\pi\) | ||
0.998393 | − | 0.0566772i | \(-0.0180506\pi\) | |||||||
\(798\) | −1568.00 | − | 4148.54i | −0.0695571 | − | 0.184031i | ||||
\(799\) | −4704.00 | −0.208280 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −266.000 | −0.0117336 | ||||||||
\(802\) | 12402.0 | + | 32812.6i | 0.546047 | + | 1.44471i | ||||
\(803\) | − | 4667.11i | − | 0.205104i | ||||||
\(804\) | 5544.00 | − | 4889.35i | 0.243186 | − | 0.214470i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 31360.0 | − | 11853.0i | 1.37048 | − | 0.517994i | ||||
\(807\) | −28392.0 | −1.23847 | ||||||||
\(808\) | 7952.00 | − | 15027.9i | 0.346226 | − | 0.654305i | ||||
\(809\) | −24390.0 | −1.05996 | −0.529979 | − | 0.848010i | \(-0.677800\pi\) | ||||
−0.529979 | + | 0.848010i | \(0.677800\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 9582.91i | − | 0.414922i | −0.978243 | − | 0.207461i | \(-0.933480\pi\) | ||
0.978243 | − | 0.207461i | \(-0.0665200\pi\) | |||||||
\(812\) | 6720.00 | + | 7619.76i | 0.290426 | + | 0.329312i | ||||
\(813\) | 8889.72i | 0.383489i | ||||||||
\(814\) | −3864.00 | − | 10223.2i | −0.166380 | − | 0.440199i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | −4704.00 | − | 592.648i | −0.201805 | − | 0.0254250i | ||||
\(817\) | 16268.0 | 0.696628 | ||||||||
\(818\) | −12278.0 | − | 32484.5i | −0.524805 | − | 1.38850i | ||||
\(819\) | 423.320i | 0.0180611i | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | − | 8773.31i | − | 0.372948i | −0.982460 | − | 0.186474i | \(-0.940294\pi\) | ||
0.982460 | − | 0.186474i | \(-0.0597061\pi\) | |||||||
\(822\) | 14868.0 | − | 5619.58i | 0.630877 | − | 0.238449i | ||||
\(823\) | 21688.0 | 0.918586 | 0.459293 | − | 0.888285i | \(-0.348103\pi\) | ||||
0.459293 | + | 0.888285i | \(0.348103\pi\) | |||||||
\(824\) | 23520.0 | + | 12445.6i | 0.994367 | + | 0.526169i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −11312.0 | + | 4275.53i | −0.476507 | + | 0.180103i | ||||
\(827\) | 19446.3i | 0.817670i | 0.912608 | + | 0.408835i | \(0.134065\pi\) | ||||
−0.912608 | + | 0.408835i | \(0.865935\pi\) | |||||||
\(828\) | 912.000 | − | 804.308i | 0.0382780 | − | 0.0337580i | ||||
\(829\) | − | 19546.8i | − | 0.818925i | −0.912327 | − | 0.409462i | \(-0.865716\pi\) | ||
0.912327 | − | 0.409462i | \(-0.134284\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 8344.00 | 0.348315 | ||||||||
\(832\) | 22400.0 | − | 15239.5i | 0.933390 | − | 0.635019i | ||||
\(833\) | −3906.00 | −0.162467 | ||||||||
\(834\) | 14252.0 | + | 37707.2i | 0.591734 | + | 1.56558i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 3528.00 | − | 3111.40i | 0.145955 | − | 0.128720i | ||||
\(837\) | − | 30817.7i | − | 1.27266i | ||||||
\(838\) | 21714.0 | − | 8207.12i | 0.895105 | − | 0.338318i | ||||
\(839\) | −18760.0 | −0.771951 | −0.385976 | − | 0.922509i | \(-0.626135\pi\) | ||||
−0.385976 | + | 0.922509i | \(0.626135\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −811.000 | −0.0332527 | ||||||||
\(842\) | 3836.00 | − | 1449.87i | 0.157004 | − | 0.0593419i | ||||
\(843\) | 14509.3i | 0.592796i | ||||||||
\(844\) | 15428.0 | + | 17493.7i | 0.629210 | + | 0.713458i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 336.000 | + | 888.972i | 0.0136547 | + | 0.0361271i | ||||
\(847\) | 8632.00 | 0.350176 | ||||||||
\(848\) | −2016.00 | − | 253.992i | −0.0816388 | − | 0.0102855i | ||||
\(849\) | −15820.0 | −0.639506 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | − | 36998.2i | − | 1.49034i | ||||||
\(852\) | −2016.00 | − | 2285.93i | −0.0810646 | − | 0.0919186i | ||||
\(853\) | − | 28732.9i | − | 1.15333i | −0.816979 | − | 0.576667i | \(-0.804353\pi\) | ||
0.816979 | − | 0.576667i | \(-0.195647\pi\) | |||||||
\(854\) | −2016.00 | + | 761.976i | −0.0807800 | + | 0.0305320i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 2856.00 | − | 5397.33i | 0.114037 | − | 0.215511i | ||||
\(857\) | −8778.00 | −0.349884 | −0.174942 | − | 0.984579i | \(-0.555974\pi\) | ||||
−0.174942 | + | 0.984579i | \(0.555974\pi\) | |||||||
\(858\) | −11760.0 | + | 4444.86i | −0.467925 | + | 0.176859i | ||||
\(859\) | − | 5646.03i | − | 0.224261i | −0.993693 | − | 0.112130i | \(-0.964233\pi\) | ||
0.993693 | − | 0.112130i | \(-0.0357675\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 2963.24i | 0.117290i | ||||||||
\(862\) | 7632.00 | + | 20192.4i | 0.301563 | + | 0.797860i | ||||
\(863\) | 9312.00 | 0.367305 | 0.183652 | − | 0.982991i | \(-0.441208\pi\) | ||||
0.183652 | + | 0.982991i | \(0.441208\pi\) | |||||||
\(864\) | −5824.00 | − | 24213.9i | −0.229325 | − | 0.953442i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −3794.00 | − | 10038.0i | −0.148875 | − | 0.393885i | ||||
\(867\) | 24960.0i | 0.977724i | ||||||||
\(868\) | −10752.0 | + | 9482.37i | −0.420445 | + | 0.370798i | ||||
\(869\) | 7365.77i | 0.287534i | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −9240.00 | −0.359455 | ||||||||
\(872\) | −20048.0 | + | 37887.2i | −0.778568 | + | 1.47135i | ||||
\(873\) | 994.000 | 0.0385359 | ||||||||
\(874\) | 14896.0 | − | 5630.16i | 0.576504 | − | 0.217898i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 8232.00 | + | 9334.21i | 0.317504 | + | 0.360016i | ||||
\(877\) | − | 137.579i | − | 0.00529728i | −0.999996 | − | 0.00264864i | \(-0.999157\pi\) | ||
0.999996 | − | 0.00264864i | \(-0.000843089\pi\) | |||||||
\(878\) | −1848.00 | − | 4889.35i | −0.0710330 | − | 0.187936i | ||||
\(879\) | 48888.0 | 1.87594 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −31150.0 | −1.19123 | −0.595613 | − | 0.803272i | \(-0.703091\pi\) | ||||
−0.595613 | + | 0.803272i | \(0.703091\pi\) | |||||||
\(882\) | 279.000 | + | 738.165i | 0.0106513 | + | 0.0281806i | ||||
\(883\) | − | 12577.9i | − | 0.479366i | −0.970851 | − | 0.239683i | \(-0.922957\pi\) | ||
0.970851 | − | 0.239683i | \(-0.0770435\pi\) | |||||||
\(884\) | 3920.00 | + | 4444.86i | 0.149145 | + | 0.169114i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −32634.0 | + | 12334.5i | −1.23743 | + | 0.467704i | ||||
\(887\) | −37128.0 | −1.40545 | −0.702726 | − | 0.711460i | \(-0.748034\pi\) | ||||
−0.702726 | + | 0.711460i | \(0.748034\pi\) | |||||||
\(888\) | 25760.0 | + | 13630.9i | 0.973479 | + | 0.515116i | ||||
\(889\) | 13312.0 | 0.502216 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 11985.3i | 0.450641i | ||||||||
\(892\) | 9408.00 | − | 8297.08i | 0.353143 | − | 0.311442i | ||||
\(893\) | 12445.6i | 0.466379i | ||||||||
\(894\) | 4200.00 | + | 11112.2i | 0.157124 | + | 0.415711i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −6656.00 | + | 9482.37i | −0.248171 | + | 0.353553i | ||||
\(897\) | −42560.0 | −1.58421 | ||||||||
\(898\) | −3582.00 | − | 9477.08i | −0.133110 | − | 0.352176i | ||||
\(899\) | − | 35558.9i | − | 1.31919i | ||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | − | 444.486i | − | 0.0164351i | ||||||
\(902\) | −2940.00 | + | 1111.22i | −0.108527 | + | 0.0410193i | ||||
\(903\) | 18592.0 | 0.685164 | ||||||||
\(904\) | −34200.0 | − | 18096.9i | −1.25827 | − | 0.665813i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 10416.0 | − | 3936.88i | 0.381952 | − | 0.144364i | ||||
\(907\) | − | 35204.4i | − | 1.28880i | −0.764688 | − | 0.644400i | \(-0.777107\pi\) | ||
0.764688 | − | 0.644400i | \(-0.222893\pi\) | |||||||
\(908\) | −6692.00 | − | 7588.01i | −0.244584 | − | 0.277332i | ||||
\(909\) | − | 751.393i | − | 0.0274171i | ||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −10512.0 | −0.382303 | −0.191152 | − | 0.981561i | \(-0.561222\pi\) | ||||
−0.191152 | + | 0.981561i | \(0.561222\pi\) | |||||||
\(912\) | −1568.00 | + | 12445.6i | −0.0569317 | + | 0.451881i | ||||
\(913\) | 8652.00 | 0.313625 | ||||||||
\(914\) | −2714.00 | − | 7180.57i | −0.0982179 | − | 0.259860i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −27272.0 | − | 30923.5i | −0.983725 | − | 1.11544i | ||||
\(917\) | − | 5376.17i | − | 0.193606i | ||||||
\(918\) | 5096.00 | − | 1926.11i | 0.183217 | − | 0.0692495i | ||||
\(919\) | −46104.0 | −1.65488 | −0.827438 | − | 0.561557i | \(-0.810202\pi\) | ||||
−0.827438 | + | 0.561557i | \(0.810202\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −13692.0 | −0.489866 | ||||||||
\(922\) | −22092.0 | + | 8349.99i | −0.789112 | + | 0.298256i | ||||
\(923\) | 3809.88i | 0.135865i | ||||||||
\(924\) | 4032.00 | − | 3555.89i | 0.143553 | − | 0.126602i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | −2224.00 | − | 5884.15i | −0.0789257 | − | 0.208818i | ||||
\(927\) | 1176.00 | 0.0416666 | ||||||||
\(928\) | −6720.00 | − | 27939.1i | −0.237710 | − | 0.988305i | ||||
\(929\) | −5726.00 | −0.202222 | −0.101111 | − | 0.994875i | \(-0.532240\pi\) | ||||
−0.101111 | + | 0.994875i | \(0.532240\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 10334.3i | 0.363795i | ||||||||
\(932\) | −5028.00 | + | 4434.28i | −0.176714 | + | 0.155847i | ||||
\(933\) | 14519.9i | 0.509496i | ||||||||
\(934\) | 27230.0 | − | 10292.0i | 0.953954 | − | 0.360561i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 560.000 | − | 1058.30i | 0.0195557 | − | 0.0369569i | ||||
\(937\) | −1274.00 | −0.0444181 | −0.0222091 | − | 0.999753i | \(-0.507070\pi\) | ||||
−0.0222091 | + | 0.999753i | \(0.507070\pi\) | |||||||
\(938\) | 3696.00 | − | 1396.96i | 0.128655 | − | 0.0486271i | ||||
\(939\) | 12075.2i | 0.419659i | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | − | 26446.9i | − | 0.916201i | −0.888900 | − | 0.458101i | \(-0.848530\pi\) | ||
0.888900 | − | 0.458101i | \(-0.151470\pi\) | |||||||
\(942\) | −952.000 | − | 2518.76i | −0.0329276 | − | 0.0871183i | ||||
\(943\) | −10640.0 | −0.367430 | ||||||||
\(944\) | 33936.0 | + | 4275.53i | 1.17005 | + | 0.147412i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 6972.00 | + | 18446.2i | 0.239619 | + | 0.633971i | ||||
\(947\) | − | 23922.9i | − | 0.820897i | −0.911884 | − | 0.410448i | \(-0.865372\pi\) | ||
0.911884 | − | 0.410448i | \(-0.134628\pi\) | |||||||
\(948\) | −12992.0 | − | 14731.5i | −0.445106 | − | 0.504703i | ||||
\(949\) | − | 15557.0i | − | 0.532141i | ||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −50680.0 | −1.72809 | ||||||||
\(952\) | −2240.00 | − | 1185.30i | −0.0762593 | − | 0.0403526i | ||||
\(953\) | −38250.0 | −1.30015 | −0.650073 | − | 0.759872i | \(-0.725262\pi\) | ||||
−0.650073 | + | 0.759872i | \(0.725262\pi\) | |||||||
\(954\) | −84.0000 | + | 31.7490i | −0.00285073 | + | 0.00107748i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −37728.0 | + | 33273.0i | −1.27637 | + | 1.12565i | ||||
\(957\) | 13334.6i | 0.450414i | ||||||||
\(958\) | 17696.0 | + | 46819.2i | 0.596797 | + | 1.57898i | ||||
\(959\) | 8496.00 | 0.286079 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 20385.0 | 0.684267 | ||||||||
\(962\) | −12880.0 | − | 34077.3i | −0.431671 | − | 1.14210i | ||||
\(963\) | − | 269.867i | − | 0.00903046i | ||||||
\(964\) | 17556.0 | − | 15482.9i | 0.586557 | − | 0.517294i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 17024.0 | − | 6434.47i | 0.567017 | − | 0.214312i | ||||
\(967\) | −4664.00 | −0.155103 | −0.0775513 | − | 0.996988i | \(-0.524710\pi\) | ||||
−0.0775513 | + | 0.996988i | \(0.524710\pi\) | |||||||
\(968\) | −21580.0 | − | 11419.1i | −0.716537 | − | 0.379156i | ||||
\(969\) | −2744.00 | −0.0909701 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 30971.2i | 1.02360i | 0.859106 | + | 0.511798i | \(0.171020\pi\) | ||||
−0.859106 | + | 0.511798i | \(0.828980\pi\) | |||||||
\(972\) | −1484.00 | − | 1682.70i | −0.0489705 | − | 0.0555273i | ||||
\(973\) | 21547.0i | 0.709933i | ||||||||
\(974\) | −1304.00 | − | 3450.06i | −0.0428982 | − | 0.113498i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 6048.00 | + | 761.976i | 0.198352 | + | 0.0249900i | ||||
\(977\) | 4814.00 | 0.157639 | 0.0788196 | − | 0.996889i | \(-0.474885\pi\) | ||||
0.0788196 | + | 0.996889i | \(0.474885\pi\) | |||||||
\(978\) | 9380.00 | + | 24817.1i | 0.306686 | + | 0.811416i | ||||
\(979\) | − | 4222.62i | − | 0.137850i | ||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 1894.36i | 0.0616536i | ||||||||
\(982\) | −44086.0 | + | 16662.9i | −1.43263 | + | 0.541483i | ||||
\(983\) | 12376.0 | 0.401560 | 0.200780 | − | 0.979636i | \(-0.435652\pi\) | ||||
0.200780 | + | 0.979636i | \(0.435652\pi\) | |||||||
\(984\) | 3920.00 | − | 7408.10i | 0.126997 | − | 0.240002i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 5880.00 | − | 2222.43i | 0.189916 | − | 0.0717816i | ||||
\(987\) | 14223.6i | 0.458704i | ||||||||
\(988\) | 11760.0 | − | 10371.3i | 0.378680 | − | 0.333964i | ||||
\(989\) | 66757.6i | 2.14638i | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 45344.0 | 1.45348 | 0.726740 | − | 0.686912i | \(-0.241034\pi\) | ||||
0.726740 | + | 0.686912i | \(0.241034\pi\) | |||||||
\(992\) | 39424.0 | − | 9482.37i | 1.26181 | − | 0.303494i | ||||
\(993\) | −22484.0 | −0.718538 | ||||||||
\(994\) | −576.000 | − | 1523.95i | −0.0183799 | − | 0.0486286i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −17304.0 | + | 15260.7i | −0.550500 | + | 0.485496i | ||||
\(997\) | 26002.4i | 0.825984i | 0.910735 | + | 0.412992i | \(0.135516\pi\) | ||||
−0.910735 | + | 0.412992i | \(0.864484\pi\) | |||||||
\(998\) | −8190.00 | + | 3095.53i | −0.259769 | + | 0.0981836i | ||||
\(999\) | −33488.0 | −1.06057 |
(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 | 200.4.d.a.101.2 | 2 | ||
4.3 | odd | 2 | 800.4.d.a.401.2 | 2 | |||
5.2 | odd | 4 | 200.4.f.a.149.2 | 4 | |||
5.3 | odd | 4 | 200.4.f.a.149.3 | 4 | |||
5.4 | even | 2 | 8.4.b.a.5.1 | ✓ | 2 | ||
8.3 | odd | 2 | 800.4.d.a.401.1 | 2 | |||
8.5 | even | 2 | inner | 200.4.d.a.101.1 | 2 | ||
15.14 | odd | 2 | 72.4.d.b.37.2 | 2 | |||
20.3 | even | 4 | 800.4.f.a.49.2 | 4 | |||
20.7 | even | 4 | 800.4.f.a.49.3 | 4 | |||
20.19 | odd | 2 | 32.4.b.a.17.1 | 2 | |||
40.3 | even | 4 | 800.4.f.a.49.4 | 4 | |||
40.13 | odd | 4 | 200.4.f.a.149.1 | 4 | |||
40.19 | odd | 2 | 32.4.b.a.17.2 | 2 | |||
40.27 | even | 4 | 800.4.f.a.49.1 | 4 | |||
40.29 | even | 2 | 8.4.b.a.5.2 | yes | 2 | ||
40.37 | odd | 4 | 200.4.f.a.149.4 | 4 | |||
60.59 | even | 2 | 288.4.d.a.145.2 | 2 | |||
80.19 | odd | 4 | 256.4.a.j.1.2 | 2 | |||
80.29 | even | 4 | 256.4.a.l.1.1 | 2 | |||
80.59 | odd | 4 | 256.4.a.j.1.1 | 2 | |||
80.69 | even | 4 | 256.4.a.l.1.2 | 2 | |||
120.29 | odd | 2 | 72.4.d.b.37.1 | 2 | |||
120.59 | even | 2 | 288.4.d.a.145.1 | 2 | |||
240.29 | odd | 4 | 2304.4.a.bn.1.2 | 2 | |||
240.59 | even | 4 | 2304.4.a.v.1.1 | 2 | |||
240.149 | odd | 4 | 2304.4.a.bn.1.1 | 2 | |||
240.179 | even | 4 | 2304.4.a.v.1.2 | 2 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
8.4.b.a.5.1 | ✓ | 2 | 5.4 | even | 2 | ||
8.4.b.a.5.2 | yes | 2 | 40.29 | even | 2 | ||
32.4.b.a.17.1 | 2 | 20.19 | odd | 2 | |||
32.4.b.a.17.2 | 2 | 40.19 | odd | 2 | |||
72.4.d.b.37.1 | 2 | 120.29 | odd | 2 | |||
72.4.d.b.37.2 | 2 | 15.14 | odd | 2 | |||
200.4.d.a.101.1 | 2 | 8.5 | even | 2 | inner | ||
200.4.d.a.101.2 | 2 | 1.1 | even | 1 | trivial | ||
200.4.f.a.149.1 | 4 | 40.13 | odd | 4 | |||
200.4.f.a.149.2 | 4 | 5.2 | odd | 4 | |||
200.4.f.a.149.3 | 4 | 5.3 | odd | 4 | |||
200.4.f.a.149.4 | 4 | 40.37 | odd | 4 | |||
256.4.a.j.1.1 | 2 | 80.59 | odd | 4 | |||
256.4.a.j.1.2 | 2 | 80.19 | odd | 4 | |||
256.4.a.l.1.1 | 2 | 80.29 | even | 4 | |||
256.4.a.l.1.2 | 2 | 80.69 | even | 4 | |||
288.4.d.a.145.1 | 2 | 120.59 | even | 2 | |||
288.4.d.a.145.2 | 2 | 60.59 | even | 2 | |||
800.4.d.a.401.1 | 2 | 8.3 | odd | 2 | |||
800.4.d.a.401.2 | 2 | 4.3 | odd | 2 | |||
800.4.f.a.49.1 | 4 | 40.27 | even | 4 | |||
800.4.f.a.49.2 | 4 | 20.3 | even | 4 | |||
800.4.f.a.49.3 | 4 | 20.7 | even | 4 | |||
800.4.f.a.49.4 | 4 | 40.3 | even | 4 | |||
2304.4.a.v.1.1 | 2 | 240.59 | even | 4 | |||
2304.4.a.v.1.2 | 2 | 240.179 | even | 4 | |||
2304.4.a.bn.1.1 | 2 | 240.149 | odd | 4 | |||
2304.4.a.bn.1.2 | 2 | 240.29 | odd | 4 |