Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [201,4,Mod(37,201)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(201, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("201.37");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 201 = 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 201.e (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(11.8593839112\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{3})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 37.15 | ||
Character | \(\chi\) | \(=\) | 201.37 |
Dual form | 201.4.e.a.163.15 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/201\mathbb{Z}\right)^\times\).
\(n\) | \(68\) | \(136\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.46601 | + | 4.27125i | 0.871864 | + | 1.51011i | 0.860066 | + | 0.510183i | \(0.170422\pi\) |
0.0117987 | + | 0.999930i | \(0.496244\pi\) | |||||||
\(3\) | 3.00000 | 0.577350 | ||||||||
\(4\) | −8.16236 | + | 14.1376i | −1.02030 | + | 1.76720i | ||||
\(5\) | 11.8437 | 1.05933 | 0.529666 | − | 0.848206i | \(-0.322317\pi\) | ||||
0.529666 | + | 0.848206i | \(0.322317\pi\) | |||||||
\(6\) | 7.39802 | + | 12.8137i | 0.503371 | + | 0.871864i | ||||
\(7\) | −12.5285 | + | 21.6999i | −0.676473 | + | 1.17169i | 0.299563 | + | 0.954077i | \(0.403159\pi\) |
−0.976036 | + | 0.217609i | \(0.930174\pi\) | |||||||
\(8\) | −41.0576 | −1.81451 | ||||||||
\(9\) | 9.00000 | 0.333333 | ||||||||
\(10\) | 29.2066 | + | 50.5874i | 0.923595 | + | 1.59971i | ||||
\(11\) | 12.1897 | − | 21.1131i | 0.334120 | − | 0.578713i | −0.649195 | − | 0.760622i | \(-0.724894\pi\) |
0.983315 | + | 0.181909i | \(0.0582276\pi\) | |||||||
\(12\) | −24.4871 | + | 42.4129i | −0.589068 | + | 1.02030i | ||||
\(13\) | −1.08813 | − | 1.88470i | −0.0232148 | − | 0.0402093i | 0.854185 | − | 0.519970i | \(-0.174057\pi\) |
−0.877399 | + | 0.479761i | \(0.840724\pi\) | |||||||
\(14\) | −123.581 | −2.35917 | ||||||||
\(15\) | 35.5311 | 0.611606 | ||||||||
\(16\) | −35.9494 | − | 62.2662i | −0.561710 | − | 0.972910i | ||||
\(17\) | −6.60849 | − | 11.4462i | −0.0942821 | − | 0.163301i | 0.815027 | − | 0.579423i | \(-0.196722\pi\) |
−0.909309 | + | 0.416122i | \(0.863389\pi\) | |||||||
\(18\) | 22.1940 | + | 38.4412i | 0.290621 | + | 0.503371i | ||||
\(19\) | 34.8110 | + | 60.2944i | 0.420326 | + | 0.728026i | 0.995971 | − | 0.0896736i | \(-0.0285824\pi\) |
−0.575645 | + | 0.817700i | \(0.695249\pi\) | |||||||
\(20\) | −96.6726 | + | 167.442i | −1.08083 | + | 1.87206i | ||||
\(21\) | −37.5854 | + | 65.0998i | −0.390562 | + | 0.676473i | ||||
\(22\) | 120.239 | 1.16523 | ||||||||
\(23\) | −52.0095 | − | 90.0832i | −0.471510 | − | 0.816680i | 0.527958 | − | 0.849270i | \(-0.322958\pi\) |
−0.999469 | + | 0.0325902i | \(0.989624\pi\) | |||||||
\(24\) | −123.173 | −1.04761 | ||||||||
\(25\) | 15.2733 | 0.122186 | ||||||||
\(26\) | 5.36667 | − | 9.29534i | 0.0404804 | − | 0.0701141i | ||||
\(27\) | 27.0000 | 0.192450 | ||||||||
\(28\) | −204.524 | − | 354.245i | −1.38040 | − | 2.39093i | ||||
\(29\) | −9.33678 | + | 16.1718i | −0.0597861 | + | 0.103553i | −0.894369 | − | 0.447329i | \(-0.852375\pi\) |
0.834583 | + | 0.550882i | \(0.185709\pi\) | |||||||
\(30\) | 87.6199 | + | 151.762i | 0.533238 | + | 0.923595i | ||||
\(31\) | 32.5894 | − | 56.4465i | 0.188814 | − | 0.327035i | −0.756041 | − | 0.654524i | \(-0.772869\pi\) |
0.944855 | + | 0.327489i | \(0.106202\pi\) | |||||||
\(32\) | 13.0724 | − | 22.6421i | 0.0722157 | − | 0.125081i | ||||
\(33\) | 36.5690 | − | 63.3393i | 0.192904 | − | 0.334120i | ||||
\(34\) | 32.5932 | − | 56.4530i | 0.164402 | − | 0.284753i | ||||
\(35\) | −148.383 | + | 257.007i | −0.716610 | + | 1.24121i | ||||
\(36\) | −73.4613 | + | 127.239i | −0.340098 | + | 0.589068i | ||||
\(37\) | 47.4397 | + | 82.1680i | 0.210785 | + | 0.365090i | 0.951960 | − | 0.306221i | \(-0.0990647\pi\) |
−0.741176 | + | 0.671311i | \(0.765731\pi\) | |||||||
\(38\) | −171.688 | + | 297.373i | −0.732935 | + | 1.26948i | ||||
\(39\) | −3.26439 | − | 5.65409i | −0.0134031 | − | 0.0232148i | ||||
\(40\) | −486.274 | −1.92217 | ||||||||
\(41\) | 213.236 | − | 369.336i | 0.812241 | − | 1.40684i | −0.0990507 | − | 0.995082i | \(-0.531581\pi\) |
0.911292 | − | 0.411761i | \(-0.135086\pi\) | |||||||
\(42\) | −370.743 | −1.36207 | ||||||||
\(43\) | 73.4294 | 0.260416 | 0.130208 | − | 0.991487i | \(-0.458436\pi\) | ||||
0.130208 | + | 0.991487i | \(0.458436\pi\) | |||||||
\(44\) | 198.993 | + | 344.666i | 0.681802 | + | 1.18092i | ||||
\(45\) | 106.593 | 0.353111 | ||||||||
\(46\) | 256.512 | − | 444.291i | 0.822186 | − | 1.42407i | ||||
\(47\) | 234.747 | − | 406.593i | 0.728539 | − | 1.26187i | −0.228962 | − | 0.973435i | \(-0.573533\pi\) |
0.957501 | − | 0.288431i | \(-0.0931334\pi\) | |||||||
\(48\) | −107.848 | − | 186.799i | −0.324303 | − | 0.561710i | ||||
\(49\) | −142.425 | − | 246.687i | −0.415232 | − | 0.719203i | ||||
\(50\) | 37.6639 | + | 65.2359i | 0.106530 | + | 0.184515i | ||||
\(51\) | −19.8255 | − | 34.3387i | −0.0544338 | − | 0.0942821i | ||||
\(52\) | 35.5268 | 0.0947439 | ||||||||
\(53\) | 205.002 | 0.531305 | 0.265653 | − | 0.964069i | \(-0.414413\pi\) | ||||
0.265653 | + | 0.964069i | \(0.414413\pi\) | |||||||
\(54\) | 66.5821 | + | 115.324i | 0.167790 | + | 0.290621i | ||||
\(55\) | 144.371 | − | 250.057i | 0.353944 | − | 0.613050i | ||||
\(56\) | 514.389 | − | 890.948i | 1.22747 | − | 2.12603i | ||||
\(57\) | 104.433 | + | 180.883i | 0.242675 | + | 0.420326i | ||||
\(58\) | −92.0982 | −0.208501 | ||||||||
\(59\) | 743.979 | 1.64166 | 0.820829 | − | 0.571175i | \(-0.193512\pi\) | ||||
0.820829 | + | 0.571175i | \(0.193512\pi\) | |||||||
\(60\) | −290.018 | + | 502.325i | −0.624019 | + | 1.08083i | ||||
\(61\) | 21.6336 | + | 37.4706i | 0.0454083 | + | 0.0786494i | 0.887836 | − | 0.460160i | \(-0.152208\pi\) |
−0.842428 | + | 0.538809i | \(0.818874\pi\) | |||||||
\(62\) | 321.463 | 0.658480 | ||||||||
\(63\) | −112.756 | + | 195.299i | −0.225491 | + | 0.390562i | ||||
\(64\) | −446.244 | −0.871571 | ||||||||
\(65\) | −12.8875 | − | 22.3218i | −0.0245922 | − | 0.0425950i | ||||
\(66\) | 360.717 | 0.672746 | ||||||||
\(67\) | 280.752 | + | 471.107i | 0.511930 | + | 0.859027i | ||||
\(68\) | 215.764 | 0.384782 | ||||||||
\(69\) | −156.029 | − | 270.250i | −0.272227 | − | 0.471510i | ||||
\(70\) | −1463.66 | −2.49915 | ||||||||
\(71\) | −509.735 | + | 882.887i | −0.852034 | + | 1.47577i | 0.0273353 | + | 0.999626i | \(0.491298\pi\) |
−0.879369 | + | 0.476140i | \(0.842036\pi\) | |||||||
\(72\) | −369.519 | −0.604836 | ||||||||
\(73\) | −587.407 | − | 1017.42i | −0.941792 | − | 1.63123i | −0.762050 | − | 0.647518i | \(-0.775807\pi\) |
−0.179742 | − | 0.983714i | \(-0.557526\pi\) | |||||||
\(74\) | −233.973 | + | 405.253i | −0.367552 | + | 0.636618i | ||||
\(75\) | 45.8198 | 0.0705442 | ||||||||
\(76\) | −1136.56 | −1.71543 | ||||||||
\(77\) | 305.435 | + | 529.029i | 0.452046 | + | 0.782967i | ||||
\(78\) | 16.1000 | − | 27.8860i | 0.0233714 | − | 0.0404804i | ||||
\(79\) | −199.347 | + | 345.278i | −0.283902 | + | 0.491732i | −0.972342 | − | 0.233561i | \(-0.924962\pi\) |
0.688441 | + | 0.725293i | \(0.258296\pi\) | |||||||
\(80\) | −425.774 | − | 737.463i | −0.595038 | − | 1.03064i | ||||
\(81\) | 81.0000 | 0.111111 | ||||||||
\(82\) | 2103.37 | 2.83266 | ||||||||
\(83\) | 534.279 | + | 925.398i | 0.706563 | + | 1.22380i | 0.966125 | + | 0.258076i | \(0.0830885\pi\) |
−0.259562 | + | 0.965726i | \(0.583578\pi\) | |||||||
\(84\) | −613.571 | − | 1062.74i | −0.796977 | − | 1.38040i | ||||
\(85\) | −78.2690 | − | 135.566i | −0.0998761 | − | 0.172990i | ||||
\(86\) | 181.077 | + | 313.635i | 0.227047 | + | 0.393257i | ||||
\(87\) | −28.0103 | + | 48.5153i | −0.0345175 | + | 0.0597861i | ||||
\(88\) | −500.479 | + | 866.854i | −0.606264 | + | 1.05008i | ||||
\(89\) | −653.789 | −0.778669 | −0.389334 | − | 0.921097i | \(-0.627295\pi\) | ||||
−0.389334 | + | 0.921097i | \(0.627295\pi\) | |||||||
\(90\) | 262.860 | + | 455.286i | 0.307865 | + | 0.533238i | ||||
\(91\) | 54.5303 | 0.0628168 | ||||||||
\(92\) | 1698.08 | 1.92432 | ||||||||
\(93\) | 97.7682 | − | 169.340i | 0.109012 | − | 0.188814i | ||||
\(94\) | 2315.55 | 2.54075 | ||||||||
\(95\) | 412.291 | + | 714.109i | 0.445265 | + | 0.771222i | ||||
\(96\) | 39.2173 | − | 67.9264i | 0.0416938 | − | 0.0722157i | ||||
\(97\) | 380.011 | + | 658.198i | 0.397776 | + | 0.688967i | 0.993451 | − | 0.114258i | \(-0.0364489\pi\) |
−0.595676 | + | 0.803225i | \(0.703116\pi\) | |||||||
\(98\) | 702.440 | − | 1216.66i | 0.724052 | − | 1.25410i | ||||
\(99\) | 109.707 | − | 190.018i | 0.111373 | − | 0.192904i | ||||
\(100\) | −124.666 | + | 215.928i | −0.124666 | + | 0.215928i | ||||
\(101\) | 818.248 | − | 1417.25i | 0.806126 | − | 1.39625i | −0.109403 | − | 0.993998i | \(-0.534894\pi\) |
0.915528 | − | 0.402253i | \(-0.131773\pi\) | |||||||
\(102\) | 97.7795 | − | 169.359i | 0.0949178 | − | 0.164402i | ||||
\(103\) | 203.559 | − | 352.574i | 0.194731 | − | 0.337283i | −0.752082 | − | 0.659070i | \(-0.770950\pi\) |
0.946812 | + | 0.321787i | \(0.104283\pi\) | |||||||
\(104\) | 44.6760 | + | 77.3811i | 0.0421235 | + | 0.0729600i | ||||
\(105\) | −445.150 | + | 771.022i | −0.413735 | + | 0.716610i | ||||
\(106\) | 505.536 | + | 875.614i | 0.463226 | + | 0.802331i | ||||
\(107\) | −208.689 | −0.188549 | −0.0942744 | − | 0.995546i | \(-0.530053\pi\) | ||||
−0.0942744 | + | 0.995546i | \(0.530053\pi\) | |||||||
\(108\) | −220.384 | + | 381.716i | −0.196356 | + | 0.340098i | ||||
\(109\) | −1400.57 | −1.23074 | −0.615369 | − | 0.788239i | \(-0.710993\pi\) | ||||
−0.615369 | + | 0.788239i | \(0.710993\pi\) | |||||||
\(110\) | 1424.08 | 1.23437 | ||||||||
\(111\) | 142.319 | + | 246.504i | 0.121697 | + | 0.210785i | ||||
\(112\) | 1801.56 | 1.51993 | ||||||||
\(113\) | 736.971 | − | 1276.47i | 0.613525 | − | 1.06266i | −0.377116 | − | 0.926166i | \(-0.623084\pi\) |
0.990641 | − | 0.136491i | \(-0.0435825\pi\) | |||||||
\(114\) | −515.065 | + | 892.118i | −0.423160 | + | 0.732935i | ||||
\(115\) | −615.986 | − | 1066.92i | −0.499487 | − | 0.865136i | ||||
\(116\) | −152.420 | − | 264.000i | −0.121999 | − | 0.211308i | ||||
\(117\) | −9.79316 | − | 16.9623i | −0.00773828 | − | 0.0134031i | ||||
\(118\) | 1834.66 | + | 3177.72i | 1.43130 | + | 2.47909i | ||||
\(119\) | 331.177 | 0.255117 | ||||||||
\(120\) | −1458.82 | −1.10976 | ||||||||
\(121\) | 368.324 | + | 637.957i | 0.276728 | + | 0.479306i | ||||
\(122\) | −106.697 | + | 184.805i | −0.0791797 | + | 0.137143i | ||||
\(123\) | 639.708 | − | 1108.01i | 0.468948 | − | 0.812241i | ||||
\(124\) | 532.013 | + | 921.474i | 0.385292 | + | 0.667345i | ||||
\(125\) | −1299.57 | −0.929897 | ||||||||
\(126\) | −1112.23 | −0.786391 | ||||||||
\(127\) | 903.773 | − | 1565.38i | 0.631471 | − | 1.09374i | −0.355780 | − | 0.934570i | \(-0.615785\pi\) |
0.987251 | − | 0.159171i | \(-0.0508820\pi\) | |||||||
\(128\) | −1205.02 | − | 2087.16i | −0.832107 | − | 1.44125i | ||||
\(129\) | 220.288 | 0.150351 | ||||||||
\(130\) | 63.5612 | − | 110.091i | 0.0428822 | − | 0.0742741i | ||||
\(131\) | −1893.87 | −1.26312 | −0.631558 | − | 0.775329i | \(-0.717584\pi\) | ||||
−0.631558 | + | 0.775329i | \(0.717584\pi\) | |||||||
\(132\) | 596.978 | + | 1034.00i | 0.393639 | + | 0.681802i | ||||
\(133\) | −1744.51 | −1.13736 | ||||||||
\(134\) | −1319.88 | + | 2360.91i | −0.850896 | + | 1.52203i | ||||
\(135\) | 319.780 | 0.203869 | ||||||||
\(136\) | 271.329 | + | 469.956i | 0.171076 | + | 0.296312i | ||||
\(137\) | 899.730 | 0.561089 | 0.280544 | − | 0.959841i | \(-0.409485\pi\) | ||||
0.280544 | + | 0.959841i | \(0.409485\pi\) | |||||||
\(138\) | 769.535 | − | 1332.87i | 0.474690 | − | 0.822186i | ||||
\(139\) | 835.115 | 0.509594 | 0.254797 | − | 0.966995i | \(-0.417991\pi\) | ||||
0.254797 | + | 0.966995i | \(0.417991\pi\) | |||||||
\(140\) | −2422.32 | − | 4195.58i | −1.46231 | − | 2.53279i | ||||
\(141\) | 704.240 | − | 1219.78i | 0.420622 | − | 0.728539i | ||||
\(142\) | −5028.04 | −2.97143 | ||||||||
\(143\) | −53.0557 | −0.0310262 | ||||||||
\(144\) | −323.545 | − | 560.396i | −0.187237 | − | 0.324303i | ||||
\(145\) | −110.582 | + | 191.534i | −0.0633333 | + | 0.109697i | ||||
\(146\) | 2897.10 | − | 5017.92i | 1.64223 | − | 2.84443i | ||||
\(147\) | −427.274 | − | 740.060i | −0.239734 | − | 0.415232i | ||||
\(148\) | −1548.88 | −0.860251 | ||||||||
\(149\) | −1348.31 | −0.741330 | −0.370665 | − | 0.928767i | \(-0.620870\pi\) | ||||
−0.370665 | + | 0.928767i | \(0.620870\pi\) | |||||||
\(150\) | 112.992 | + | 195.708i | 0.0615050 | + | 0.106530i | ||||
\(151\) | −1271.16 | − | 2201.71i | −0.685068 | − | 1.18657i | −0.973415 | − | 0.229047i | \(-0.926439\pi\) |
0.288347 | − | 0.957526i | \(-0.406894\pi\) | |||||||
\(152\) | −1429.26 | − | 2475.55i | −0.762685 | − | 1.32101i | ||||
\(153\) | −59.4764 | − | 103.016i | −0.0314274 | − | 0.0544338i | ||||
\(154\) | −1506.41 | + | 2609.18i | −0.788247 | + | 1.36528i | ||||
\(155\) | 385.979 | − | 668.536i | 0.200017 | − | 0.346439i | ||||
\(156\) | 106.580 | 0.0547004 | ||||||||
\(157\) | −66.9625 | − | 115.982i | −0.0340394 | − | 0.0589580i | 0.848504 | − | 0.529189i | \(-0.177504\pi\) |
−0.882543 | + | 0.470231i | \(0.844171\pi\) | |||||||
\(158\) | −1966.36 | −0.990095 | ||||||||
\(159\) | 615.006 | 0.306749 | ||||||||
\(160\) | 154.826 | − | 268.167i | 0.0765005 | − | 0.132503i | ||||
\(161\) | 2606.40 | 1.27586 | ||||||||
\(162\) | 199.746 | + | 345.971i | 0.0968738 | + | 0.167790i | ||||
\(163\) | −827.140 | + | 1432.65i | −0.397464 | + | 0.688428i | −0.993412 | − | 0.114595i | \(-0.963443\pi\) |
0.595948 | + | 0.803023i | \(0.296776\pi\) | |||||||
\(164\) | 3481.02 | + | 6029.31i | 1.65745 | + | 2.87079i | ||||
\(165\) | 433.112 | − | 750.172i | 0.204350 | − | 0.353944i | ||||
\(166\) | −2635.07 | + | 4564.07i | −1.23205 | + | 2.13398i | ||||
\(167\) | −182.078 | + | 315.369i | −0.0843690 | + | 0.146131i | −0.905122 | − | 0.425152i | \(-0.860221\pi\) |
0.820753 | + | 0.571283i | \(0.193554\pi\) | |||||||
\(168\) | 1543.17 | − | 2672.84i | 0.708678 | − | 1.22747i | ||||
\(169\) | 1096.13 | − | 1898.56i | 0.498922 | − | 0.864159i | ||||
\(170\) | 386.024 | − | 668.613i | 0.174157 | − | 0.301648i | ||||
\(171\) | 313.299 | + | 542.650i | 0.140109 | + | 0.242675i | ||||
\(172\) | −599.357 | + | 1038.12i | −0.265701 | + | 0.460207i | ||||
\(173\) | −2033.81 | − | 3522.67i | −0.893803 | − | 1.54811i | −0.835279 | − | 0.549826i | \(-0.814694\pi\) |
−0.0585236 | − | 0.998286i | \(-0.518639\pi\) | |||||||
\(174\) | −276.294 | −0.120378 | ||||||||
\(175\) | −191.350 | + | 331.429i | −0.0826556 | + | 0.143164i | ||||
\(176\) | −1752.85 | −0.750714 | ||||||||
\(177\) | 2231.94 | 0.947811 | ||||||||
\(178\) | −1612.25 | − | 2792.49i | −0.678893 | − | 1.17588i | ||||
\(179\) | −1250.67 | −0.522232 | −0.261116 | − | 0.965307i | \(-0.584090\pi\) | ||||
−0.261116 | + | 0.965307i | \(0.584090\pi\) | |||||||
\(180\) | −870.053 | + | 1506.98i | −0.360277 | + | 0.624019i | ||||
\(181\) | 97.2319 | − | 168.411i | 0.0399292 | − | 0.0691594i | −0.845370 | − | 0.534181i | \(-0.820620\pi\) |
0.885299 | + | 0.465022i | \(0.153953\pi\) | |||||||
\(182\) | 134.472 | + | 232.913i | 0.0547678 | + | 0.0948606i | ||||
\(183\) | 64.9009 | + | 112.412i | 0.0262165 | + | 0.0454083i | ||||
\(184\) | 2135.39 | + | 3698.60i | 0.855560 | + | 1.48187i | ||||
\(185\) | 561.862 | + | 973.173i | 0.223291 | + | 0.386752i | ||||
\(186\) | 964.388 | 0.380174 | ||||||||
\(187\) | −322.221 | −0.126006 | ||||||||
\(188\) | 3832.17 | + | 6637.52i | 1.48665 | + | 2.57495i | ||||
\(189\) | −338.268 | + | 585.898i | −0.130187 | + | 0.225491i | ||||
\(190\) | −2033.42 | + | 3521.99i | −0.776422 | + | 1.34480i | ||||
\(191\) | 759.632 | + | 1315.72i | 0.287775 | + | 0.498441i | 0.973278 | − | 0.229628i | \(-0.0737511\pi\) |
−0.685503 | + | 0.728070i | \(0.740418\pi\) | |||||||
\(192\) | −1338.73 | −0.503201 | ||||||||
\(193\) | −3681.66 | −1.37312 | −0.686558 | − | 0.727075i | \(-0.740879\pi\) | ||||
−0.686558 | + | 0.727075i | \(0.740879\pi\) | |||||||
\(194\) | −1874.22 | + | 3246.24i | −0.693613 | + | 1.20137i | ||||
\(195\) | −38.6624 | − | 66.9653i | −0.0141983 | − | 0.0245922i | ||||
\(196\) | 4650.08 | 1.69464 | ||||||||
\(197\) | −2656.11 | + | 4600.52i | −0.960609 | + | 1.66382i | −0.239635 | + | 0.970863i | \(0.577028\pi\) |
−0.720975 | + | 0.692961i | \(0.756306\pi\) | |||||||
\(198\) | 1082.15 | 0.388410 | ||||||||
\(199\) | −1010.10 | − | 1749.54i | −0.359819 | − | 0.623225i | 0.628111 | − | 0.778124i | \(-0.283828\pi\) |
−0.987930 | + | 0.154898i | \(0.950495\pi\) | |||||||
\(200\) | −627.084 | −0.221708 | ||||||||
\(201\) | 842.255 | + | 1413.32i | 0.295563 | + | 0.495960i | ||||
\(202\) | 8071.21 | 2.81133 | ||||||||
\(203\) | −233.951 | − | 405.215i | −0.0808873 | − | 0.140101i | ||||
\(204\) | 647.291 | 0.222154 | ||||||||
\(205\) | 2525.51 | − | 4374.30i | 0.860434 | − | 1.49032i | ||||
\(206\) | 2007.91 | 0.679115 | ||||||||
\(207\) | −468.086 | − | 810.749i | −0.157170 | − | 0.272227i | ||||
\(208\) | −78.2353 | + | 135.507i | −0.0260800 | + | 0.0451719i | ||||
\(209\) | 1697.34 | 0.561757 | ||||||||
\(210\) | −4390.97 | −1.44288 | ||||||||
\(211\) | −1348.08 | − | 2334.94i | −0.439837 | − | 0.761820i | 0.557840 | − | 0.829949i | \(-0.311630\pi\) |
−0.997677 | + | 0.0681288i | \(0.978297\pi\) | |||||||
\(212\) | −1673.30 | + | 2898.24i | −0.542088 | + | 0.938925i | ||||
\(213\) | −1529.21 | + | 2648.66i | −0.491922 | + | 0.852034i | ||||
\(214\) | −514.628 | − | 891.362i | −0.164389 | − | 0.284730i | ||||
\(215\) | 869.676 | 0.275867 | ||||||||
\(216\) | −1108.56 | −0.349202 | ||||||||
\(217\) | 816.590 | + | 1414.38i | 0.255455 | + | 0.442461i | ||||
\(218\) | −3453.82 | − | 5982.18i | −1.07304 | − | 1.85855i | ||||
\(219\) | −1762.22 | − | 3052.26i | −0.543744 | − | 0.941792i | ||||
\(220\) | 2356.81 | + | 4082.12i | 0.722255 | + | 1.25098i | ||||
\(221\) | −14.3818 | + | 24.9100i | −0.00437748 | + | 0.00758203i | ||||
\(222\) | −701.919 | + | 1215.76i | −0.212206 | + | 0.367552i | ||||
\(223\) | −3105.53 | −0.932563 | −0.466281 | − | 0.884636i | \(-0.654407\pi\) | ||||
−0.466281 | + | 0.884636i | \(0.654407\pi\) | |||||||
\(224\) | 327.555 | + | 567.342i | 0.0977040 | + | 0.169228i | ||||
\(225\) | 137.459 | 0.0407287 | ||||||||
\(226\) | 7269.49 | 2.13964 | ||||||||
\(227\) | −1609.37 | + | 2787.52i | −0.470564 | + | 0.815040i | −0.999433 | − | 0.0336629i | \(-0.989283\pi\) |
0.528870 | + | 0.848703i | \(0.322616\pi\) | |||||||
\(228\) | −3409.68 | −0.990402 | ||||||||
\(229\) | −1853.54 | − | 3210.42i | −0.534870 | − | 0.926422i | −0.999170 | − | 0.0407441i | \(-0.987027\pi\) |
0.464299 | − | 0.885678i | \(-0.346306\pi\) | |||||||
\(230\) | 3038.05 | − | 5262.05i | 0.870969 | − | 1.50856i | ||||
\(231\) | 916.306 | + | 1587.09i | 0.260989 | + | 0.452046i | ||||
\(232\) | 383.346 | − | 663.975i | 0.108482 | − | 0.187897i | ||||
\(233\) | −2134.98 | + | 3697.89i | −0.600288 | + | 1.03973i | 0.392490 | + | 0.919756i | \(0.371614\pi\) |
−0.992777 | + | 0.119972i | \(0.961719\pi\) | |||||||
\(234\) | 48.3000 | − | 83.6580i | 0.0134935 | − | 0.0233714i | ||||
\(235\) | 2780.27 | − | 4815.57i | 0.771765 | − | 1.33674i | ||||
\(236\) | −6072.62 | + | 10518.1i | −1.67498 | + | 2.90114i | ||||
\(237\) | −598.040 | + | 1035.83i | −0.163911 | + | 0.283902i | ||||
\(238\) | 816.684 | + | 1414.54i | 0.222428 | + | 0.385256i | ||||
\(239\) | 2848.18 | − | 4933.18i | 0.770850 | − | 1.33515i | −0.166248 | − | 0.986084i | \(-0.553165\pi\) |
0.937098 | − | 0.349067i | \(-0.113502\pi\) | |||||||
\(240\) | −1277.32 | − | 2212.39i | −0.343545 | − | 0.595038i | ||||
\(241\) | −4830.04 | −1.29100 | −0.645499 | − | 0.763761i | \(-0.723350\pi\) | ||||
−0.645499 | + | 0.763761i | \(0.723350\pi\) | |||||||
\(242\) | −1816.58 | + | 3146.41i | −0.482538 | + | 0.835780i | ||||
\(243\) | 243.000 | 0.0641500 | ||||||||
\(244\) | −706.327 | −0.185319 | ||||||||
\(245\) | −1686.83 | − | 2921.68i | −0.439869 | − | 0.761875i | ||||
\(246\) | 6310.10 | 1.63544 | ||||||||
\(247\) | 75.7578 | − | 131.216i | 0.0195156 | − | 0.0338020i | ||||
\(248\) | −1338.04 | + | 2317.56i | −0.342604 | + | 0.593408i | ||||
\(249\) | 1602.84 | + | 2776.19i | 0.407934 | + | 0.706563i | ||||
\(250\) | −3204.75 | − | 5550.79i | −0.810744 | − | 1.40425i | ||||
\(251\) | 2129.94 | + | 3689.17i | 0.535621 | + | 0.927722i | 0.999133 | + | 0.0416319i | \(0.0132557\pi\) |
−0.463512 | + | 0.886091i | \(0.653411\pi\) | |||||||
\(252\) | −1840.71 | − | 3188.21i | −0.460135 | − | 0.796977i | ||||
\(253\) | −2535.91 | −0.630164 | ||||||||
\(254\) | 8914.83 | 2.20223 | ||||||||
\(255\) | −234.807 | − | 406.698i | −0.0576635 | − | 0.0998761i | ||||
\(256\) | 4158.19 | − | 7202.20i | 1.01518 | − | 1.75835i | ||||
\(257\) | −3647.43 | + | 6317.54i | −0.885294 | + | 1.53337i | −0.0399173 | + | 0.999203i | \(0.512709\pi\) |
−0.845377 | + | 0.534171i | \(0.820624\pi\) | |||||||
\(258\) | 543.232 | + | 940.905i | 0.131086 | + | 0.227047i | ||||
\(259\) | −2377.39 | −0.570361 | ||||||||
\(260\) | 420.769 | 0.100365 | ||||||||
\(261\) | −84.0310 | + | 145.546i | −0.0199287 | + | 0.0345175i | ||||
\(262\) | −4670.29 | − | 8089.18i | −1.10127 | − | 1.90745i | ||||
\(263\) | −4557.48 | −1.06854 | −0.534270 | − | 0.845314i | \(-0.679414\pi\) | ||||
−0.534270 | + | 0.845314i | \(0.679414\pi\) | |||||||
\(264\) | −1501.44 | + | 2600.56i | −0.350026 | + | 0.606264i | ||||
\(265\) | 2427.98 | 0.562829 | ||||||||
\(266\) | −4301.98 | − | 7451.25i | −0.991621 | − | 1.71754i | ||||
\(267\) | −1961.37 | −0.449565 | ||||||||
\(268\) | −8951.93 | + | 123.820i | −2.04040 | + | 0.0282221i | ||||
\(269\) | 8015.80 | 1.81685 | 0.908424 | − | 0.418051i | \(-0.137287\pi\) | ||||
0.908424 | + | 0.418051i | \(0.137287\pi\) | |||||||
\(270\) | 788.579 | + | 1365.86i | 0.177746 | + | 0.307865i | ||||
\(271\) | 1134.10 | 0.254212 | 0.127106 | − | 0.991889i | \(-0.459431\pi\) | ||||
0.127106 | + | 0.991889i | \(0.459431\pi\) | |||||||
\(272\) | −475.143 | + | 822.972i | −0.105918 | + | 0.183456i | ||||
\(273\) | 163.591 | 0.0362673 | ||||||||
\(274\) | 2218.74 | + | 3842.97i | 0.489193 | + | 0.847307i | ||||
\(275\) | 186.176 | − | 322.466i | 0.0408248 | − | 0.0707107i | ||||
\(276\) | 5094.25 | 1.11101 | ||||||||
\(277\) | −4483.83 | −0.972590 | −0.486295 | − | 0.873795i | \(-0.661652\pi\) | ||||
−0.486295 | + | 0.873795i | \(0.661652\pi\) | |||||||
\(278\) | 2059.40 | + | 3566.98i | 0.444297 | + | 0.769545i | ||||
\(279\) | 293.305 | − | 508.019i | 0.0629380 | − | 0.109012i | ||||
\(280\) | 6092.27 | − | 10552.1i | 1.30030 | − | 2.25218i | ||||
\(281\) | −776.601 | − | 1345.11i | −0.164869 | − | 0.285561i | 0.771740 | − | 0.635938i | \(-0.219387\pi\) |
−0.936609 | + | 0.350377i | \(0.886053\pi\) | |||||||
\(282\) | 6946.64 | 1.46690 | ||||||||
\(283\) | 1141.41 | 0.239751 | 0.119876 | − | 0.992789i | \(-0.461750\pi\) | ||||
0.119876 | + | 0.992789i | \(0.461750\pi\) | |||||||
\(284\) | −8321.29 | − | 14412.9i | −1.73865 | − | 3.01144i | ||||
\(285\) | 1236.87 | + | 2142.33i | 0.257074 | + | 0.445265i | ||||
\(286\) | −130.836 | − | 226.614i | −0.0270506 | − | 0.0468530i | ||||
\(287\) | 5343.04 | + | 9254.42i | 1.09892 | + | 1.90338i | ||||
\(288\) | 117.652 | − | 203.779i | 0.0240719 | − | 0.0416938i | ||||
\(289\) | 2369.16 | − | 4103.50i | 0.482222 | − | 0.835233i | ||||
\(290\) | −1090.78 | −0.220872 | ||||||||
\(291\) | 1140.03 | + | 1974.59i | 0.229656 | + | 0.397776i | ||||
\(292\) | 19178.5 | 3.84362 | ||||||||
\(293\) | 1297.80 | 0.258765 | 0.129383 | − | 0.991595i | \(-0.458700\pi\) | ||||
0.129383 | + | 0.991595i | \(0.458700\pi\) | |||||||
\(294\) | 2107.32 | − | 3649.98i | 0.418032 | − | 0.724052i | ||||
\(295\) | 8811.46 | 1.73906 | ||||||||
\(296\) | −1947.76 | − | 3373.62i | −0.382471 | − | 0.662459i | ||||
\(297\) | 329.121 | − | 570.054i | 0.0643014 | − | 0.111373i | ||||
\(298\) | −3324.95 | − | 5758.98i | −0.646339 | − | 1.11949i | ||||
\(299\) | −113.186 | + | 196.044i | −0.0218921 | + | 0.0379182i | ||||
\(300\) | −373.998 | + | 647.783i | −0.0719759 | + | 0.124666i | ||||
\(301\) | −919.957 | + | 1593.41i | −0.176164 | + | 0.305125i | ||||
\(302\) | 6269.36 | − | 10858.8i | 1.19457 | − | 2.06906i | ||||
\(303\) | 2454.74 | − | 4251.74i | 0.465417 | − | 0.806126i | ||||
\(304\) | 2502.87 | − | 4335.10i | 0.472203 | − | 0.817879i | ||||
\(305\) | 256.222 | + | 443.790i | 0.0481025 | + | 0.0833159i | ||||
\(306\) | 293.338 | − | 508.077i | 0.0548008 | − | 0.0949178i | ||||
\(307\) | 4925.87 | + | 8531.86i | 0.915747 | + | 1.58612i | 0.805804 | + | 0.592183i | \(0.201734\pi\) |
0.109943 | + | 0.993938i | \(0.464933\pi\) | |||||||
\(308\) | −9972.29 | −1.84488 | ||||||||
\(309\) | 610.677 | − | 1057.72i | 0.112428 | − | 0.194731i | ||||
\(310\) | 3807.31 | 0.697550 | ||||||||
\(311\) | 3352.19 | 0.611207 | 0.305604 | − | 0.952159i | \(-0.401142\pi\) | ||||
0.305604 | + | 0.952159i | \(0.401142\pi\) | |||||||
\(312\) | 134.028 | + | 232.143i | 0.0243200 | + | 0.0421235i | ||||
\(313\) | 6712.49 | 1.21218 | 0.606090 | − | 0.795396i | \(-0.292737\pi\) | ||||
0.606090 | + | 0.795396i | \(0.292737\pi\) | |||||||
\(314\) | 330.260 | − | 572.027i | 0.0593555 | − | 0.102807i | ||||
\(315\) | −1335.45 | + | 2313.07i | −0.238870 | + | 0.413735i | ||||
\(316\) | −3254.28 | − | 5636.57i | −0.579327 | − | 1.00342i | ||||
\(317\) | 286.957 | + | 497.024i | 0.0508426 | + | 0.0880620i | 0.890327 | − | 0.455322i | \(-0.150476\pi\) |
−0.839484 | + | 0.543384i | \(0.817143\pi\) | |||||||
\(318\) | 1516.61 | + | 2626.84i | 0.267444 | + | 0.463226i | ||||
\(319\) | 227.624 | + | 394.257i | 0.0399514 | + | 0.0691979i | ||||
\(320\) | −5285.18 | −0.923283 | ||||||||
\(321\) | −626.067 | −0.108859 | ||||||||
\(322\) | 6427.39 | + | 11132.6i | 1.11237 | + | 1.92669i | ||||
\(323\) | 460.097 | − | 796.911i | 0.0792584 | − | 0.137280i | ||||
\(324\) | −661.151 | + | 1145.15i | −0.113366 | + | 0.196356i | ||||
\(325\) | −16.6193 | − | 28.7854i | −0.00283653 | − | 0.00491301i | ||||
\(326\) | −8158.93 | −1.38614 | ||||||||
\(327\) | −4201.71 | −0.710567 | ||||||||
\(328\) | −8754.97 | + | 15164.1i | −1.47382 | + | 2.55273i | ||||
\(329\) | 5882.03 | + | 10188.0i | 0.985674 | + | 1.70724i | ||||
\(330\) | 4272.23 | 0.712661 | ||||||||
\(331\) | 3229.87 | − | 5594.31i | 0.536344 | − | 0.928975i | −0.462753 | − | 0.886487i | \(-0.653138\pi\) |
0.999097 | − | 0.0424881i | \(-0.0135284\pi\) | |||||||
\(332\) | −17443.9 | −2.88361 | ||||||||
\(333\) | 426.957 | + | 739.512i | 0.0702616 | + | 0.121697i | ||||
\(334\) | −1796.02 | −0.294233 | ||||||||
\(335\) | 3325.14 | + | 5579.65i | 0.542304 | + | 0.909996i | ||||
\(336\) | 5404.69 | 0.877530 | ||||||||
\(337\) | −270.868 | − | 469.158i | −0.0437838 | − | 0.0758358i | 0.843303 | − | 0.537438i | \(-0.180608\pi\) |
−0.887087 | + | 0.461603i | \(0.847275\pi\) | |||||||
\(338\) | 10812.3 | 1.73997 | ||||||||
\(339\) | 2210.91 | − | 3829.41i | 0.354219 | − | 0.613525i | ||||
\(340\) | 2555.44 | 0.407612 | ||||||||
\(341\) | −794.507 | − | 1376.13i | −0.126173 | − | 0.218538i | ||||
\(342\) | −1545.19 | + | 2676.36i | −0.244312 | + | 0.423160i | ||||
\(343\) | −1457.08 | −0.229373 | ||||||||
\(344\) | −3014.84 | −0.472526 | ||||||||
\(345\) | −1847.96 | − | 3200.75i | −0.288379 | − | 0.499487i | ||||
\(346\) | 10030.8 | − | 17373.8i | 1.55855 | − | 2.69949i | ||||
\(347\) | −143.702 | + | 248.899i | −0.0222315 | + | 0.0385061i | −0.876927 | − | 0.480623i | \(-0.840410\pi\) |
0.854696 | + | 0.519129i | \(0.173744\pi\) | |||||||
\(348\) | −457.261 | − | 791.999i | −0.0704361 | − | 0.121999i | ||||
\(349\) | −11228.2 | −1.72215 | −0.861074 | − | 0.508479i | \(-0.830208\pi\) | ||||
−0.861074 | + | 0.508479i | \(0.830208\pi\) | |||||||
\(350\) | −1887.48 | −0.288258 | ||||||||
\(351\) | −29.3795 | − | 50.8868i | −0.00446770 | − | 0.00773828i | ||||
\(352\) | −318.697 | − | 552.000i | −0.0482574 | − | 0.0835843i | ||||
\(353\) | −5167.60 | − | 8950.54i | −0.779160 | − | 1.34955i | −0.932426 | − | 0.361360i | \(-0.882313\pi\) |
0.153266 | − | 0.988185i | \(-0.451021\pi\) | |||||||
\(354\) | 5503.97 | + | 9533.15i | 0.826363 | + | 1.43130i | ||||
\(355\) | −6037.15 | + | 10456.7i | −0.902588 | + | 1.56333i | ||||
\(356\) | 5336.46 | − | 9243.03i | 0.794472 | − | 1.37607i | ||||
\(357\) | 993.531 | 0.147292 | ||||||||
\(358\) | −3084.16 | − | 5341.92i | −0.455315 | − | 0.788629i | ||||
\(359\) | 477.406 | 0.0701853 | 0.0350927 | − | 0.999384i | \(-0.488827\pi\) | ||||
0.0350927 | + | 0.999384i | \(0.488827\pi\) | |||||||
\(360\) | −4376.47 | −0.640723 | ||||||||
\(361\) | 1005.89 | − | 1742.25i | 0.146652 | − | 0.254009i | ||||
\(362\) | 959.097 | 0.139251 | ||||||||
\(363\) | 1104.97 | + | 1913.87i | 0.159769 | + | 0.276728i | ||||
\(364\) | −445.096 | + | 770.930i | −0.0640917 | + | 0.111010i | ||||
\(365\) | −6957.08 | − | 12050.0i | −0.997671 | − | 1.72802i | ||||
\(366\) | −320.092 | + | 554.416i | −0.0457144 | + | 0.0791797i | ||||
\(367\) | 534.369 | − | 925.554i | 0.0760050 | − | 0.131645i | −0.825518 | − | 0.564376i | \(-0.809117\pi\) |
0.901523 | + | 0.432731i | \(0.142450\pi\) | |||||||
\(368\) | −3739.43 | + | 6476.88i | −0.529704 | + | 0.917475i | ||||
\(369\) | 1919.13 | − | 3324.02i | 0.270747 | − | 0.468948i | ||||
\(370\) | −2771.11 | + | 4799.70i | −0.389359 | + | 0.674390i | ||||
\(371\) | −2568.36 | + | 4448.53i | −0.359414 | + | 0.622523i | ||||
\(372\) | 1596.04 | + | 2764.42i | 0.222448 | + | 0.385292i | ||||
\(373\) | −1986.99 | + | 3441.56i | −0.275824 | + | 0.477741i | −0.970343 | − | 0.241734i | \(-0.922284\pi\) |
0.694519 | + | 0.719474i | \(0.255617\pi\) | |||||||
\(374\) | −794.599 | − | 1376.29i | −0.109860 | − | 0.190284i | ||||
\(375\) | −3898.71 | −0.536876 | ||||||||
\(376\) | −9638.14 | + | 16693.7i | −1.32194 | + | 2.28967i | ||||
\(377\) | 40.6385 | 0.00555169 | ||||||||
\(378\) | −3336.69 | −0.454023 | ||||||||
\(379\) | 4873.06 | + | 8440.39i | 0.660454 | + | 1.14394i | 0.980496 | + | 0.196537i | \(0.0629697\pi\) |
−0.320042 | + | 0.947403i | \(0.603697\pi\) | |||||||
\(380\) | −13461.1 | −1.81721 | ||||||||
\(381\) | 2711.32 | − | 4696.14i | 0.364580 | − | 0.631471i | ||||
\(382\) | −3746.51 | + | 6489.15i | −0.501802 | + | 0.869146i | ||||
\(383\) | 1192.88 | + | 2066.14i | 0.159148 | + | 0.275652i | 0.934562 | − | 0.355802i | \(-0.115792\pi\) |
−0.775414 | + | 0.631453i | \(0.782459\pi\) | |||||||
\(384\) | −3615.06 | − | 6261.47i | −0.480417 | − | 0.832107i | ||||
\(385\) | 3617.48 | + | 6265.67i | 0.478868 | + | 0.829423i | ||||
\(386\) | −9078.99 | − | 15725.3i | −1.19717 | − | 2.07356i | ||||
\(387\) | 660.864 | 0.0868052 | ||||||||
\(388\) | −12407.1 | −1.62339 | ||||||||
\(389\) | −1061.36 | − | 1838.33i | −0.138337 | − | 0.239607i | 0.788530 | − | 0.614996i | \(-0.210842\pi\) |
−0.926867 | + | 0.375389i | \(0.877509\pi\) | |||||||
\(390\) | 190.684 | − | 330.274i | 0.0247580 | − | 0.0428822i | ||||
\(391\) | −687.410 | + | 1190.63i | −0.0889100 | + | 0.153997i | ||||
\(392\) | 5847.62 | + | 10128.4i | 0.753442 | + | 1.30500i | ||||
\(393\) | −5681.61 | −0.729260 | ||||||||
\(394\) | −26199.9 | −3.35008 | ||||||||
\(395\) | −2361.00 | + | 4089.37i | −0.300746 | + | 0.520908i | ||||
\(396\) | 1790.94 | + | 3101.99i | 0.227267 | + | 0.393639i | ||||
\(397\) | 3305.75 | 0.417912 | 0.208956 | − | 0.977925i | \(-0.432993\pi\) | ||||
0.208956 | + | 0.977925i | \(0.432993\pi\) | |||||||
\(398\) | 4981.82 | − | 8628.77i | 0.627427 | − | 1.08674i | ||||
\(399\) | −5233.54 | −0.656653 | ||||||||
\(400\) | −549.065 | − | 951.009i | −0.0686331 | − | 0.118876i | ||||
\(401\) | 10699.5 | 1.33243 | 0.666217 | − | 0.745758i | \(-0.267913\pi\) | ||||
0.666217 | + | 0.745758i | \(0.267913\pi\) | |||||||
\(402\) | −3959.63 | + | 7082.73i | −0.491265 | + | 0.878743i | ||||
\(403\) | −141.846 | −0.0175331 | ||||||||
\(404\) | 13357.7 | + | 23136.2i | 1.64497 | + | 2.84918i | ||||
\(405\) | 959.340 | 0.117704 | ||||||||
\(406\) | 1153.85 | − | 1998.52i | 0.141046 | − | 0.244298i | ||||
\(407\) | 2313.09 | 0.281710 | ||||||||
\(408\) | 813.987 | + | 1409.87i | 0.0987705 | + | 0.171076i | ||||
\(409\) | 746.830 | − | 1293.55i | 0.0902894 | − | 0.156386i | −0.817343 | − | 0.576151i | \(-0.804554\pi\) |
0.907633 | + | 0.419765i | \(0.137887\pi\) | |||||||
\(410\) | 24911.6 | 3.00073 | ||||||||
\(411\) | 2699.19 | 0.323945 | ||||||||
\(412\) | 3323.04 | + | 5755.68i | 0.397365 | + | 0.688257i | ||||
\(413\) | −9320.91 | + | 16144.3i | −1.11054 | + | 1.92351i | ||||
\(414\) | 2308.60 | − | 3998.62i | 0.274062 | − | 0.474690i | ||||
\(415\) | 6327.84 | + | 10960.1i | 0.748485 | + | 1.29641i | ||||
\(416\) | −56.8980 | −0.00670590 | ||||||||
\(417\) | 2505.35 | 0.294214 | ||||||||
\(418\) | 4185.64 | + | 7249.75i | 0.489776 | + | 0.848317i | ||||
\(419\) | 7177.13 | + | 12431.2i | 0.836816 | + | 1.44941i | 0.892544 | + | 0.450961i | \(0.148919\pi\) |
−0.0557280 | + | 0.998446i | \(0.517748\pi\) | |||||||
\(420\) | −7266.95 | − | 12586.7i | −0.844264 | − | 1.46231i | ||||
\(421\) | 904.385 | + | 1566.44i | 0.104696 | + | 0.181339i | 0.913614 | − | 0.406583i | \(-0.133280\pi\) |
−0.808918 | + | 0.587922i | \(0.799946\pi\) | |||||||
\(422\) | 6648.74 | − | 11516.0i | 0.766957 | − | 1.32841i | ||||
\(423\) | 2112.72 | − | 3659.34i | 0.242846 | − | 0.420622i | ||||
\(424\) | −8416.89 | −0.964058 | ||||||||
\(425\) | −100.933 | − | 174.821i | −0.0115200 | − | 0.0199531i | ||||
\(426\) | −15084.1 | −1.71556 | ||||||||
\(427\) | −1084.14 | −0.122870 | ||||||||
\(428\) | 1703.40 | − | 2950.37i | 0.192376 | − | 0.333204i | ||||
\(429\) | −159.167 | −0.0179130 | ||||||||
\(430\) | 2144.62 | + | 3714.60i | 0.240519 | + | 0.416590i | ||||
\(431\) | −5613.63 | + | 9723.09i | −0.627376 | + | 1.08665i | 0.360700 | + | 0.932682i | \(0.382538\pi\) |
−0.988076 | + | 0.153965i | \(0.950796\pi\) | |||||||
\(432\) | −970.635 | − | 1681.19i | −0.108101 | − | 0.187237i | ||||
\(433\) | −4180.33 | + | 7240.54i | −0.463958 | + | 0.803598i | −0.999154 | − | 0.0411296i | \(-0.986904\pi\) |
0.535196 | + | 0.844728i | \(0.320238\pi\) | |||||||
\(434\) | −4027.43 | + | 6975.71i | −0.445444 | + | 0.771532i | ||||
\(435\) | −331.746 | + | 574.601i | −0.0365655 | + | 0.0633333i | ||||
\(436\) | 11432.0 | − | 19800.7i | 1.25572 | − | 2.17496i | ||||
\(437\) | 3621.01 | − | 6271.77i | 0.396376 | − | 0.686544i | ||||
\(438\) | 8691.30 | − | 15053.8i | 0.948142 | − | 1.64223i | ||||
\(439\) | 6488.24 | + | 11238.0i | 0.705391 | + | 1.22177i | 0.966550 | + | 0.256478i | \(0.0825620\pi\) |
−0.261159 | + | 0.965296i | \(0.584105\pi\) | |||||||
\(440\) | −5927.52 | + | 10266.8i | −0.642235 | + | 1.11238i | ||||
\(441\) | −1281.82 | − | 2220.18i | −0.138411 | − | 0.239734i | ||||
\(442\) | −141.862 | −0.0152663 | ||||||||
\(443\) | −2642.75 | + | 4577.38i | −0.283433 | + | 0.490920i | −0.972228 | − | 0.234036i | \(-0.924807\pi\) |
0.688795 | + | 0.724956i | \(0.258140\pi\) | |||||||
\(444\) | −4646.64 | −0.496666 | ||||||||
\(445\) | −7743.28 | −0.824869 | ||||||||
\(446\) | −7658.25 | − | 13264.5i | −0.813069 | − | 1.40828i | ||||
\(447\) | −4044.94 | −0.428007 | ||||||||
\(448\) | 5590.75 | − | 9683.47i | 0.589594 | − | 1.02121i | ||||
\(449\) | 315.985 | − | 547.302i | 0.0332121 | − | 0.0575251i | −0.848942 | − | 0.528487i | \(-0.822760\pi\) |
0.882154 | + | 0.470962i | \(0.156093\pi\) | |||||||
\(450\) | 338.975 | + | 587.123i | 0.0355099 | + | 0.0615050i | ||||
\(451\) | −5198.55 | − | 9004.16i | −0.542772 | − | 0.940109i | ||||
\(452\) | 12030.8 | + | 20838.0i | 1.25195 | + | 2.16845i | ||||
\(453\) | −3813.47 | − | 6605.12i | −0.395524 | − | 0.685068i | ||||
\(454\) | −15874.9 | −1.64107 | ||||||||
\(455\) | 645.841 | 0.0665439 | ||||||||
\(456\) | −4287.77 | − | 7426.64i | −0.440336 | − | 0.762685i | ||||
\(457\) | 4438.33 | − | 7687.42i | 0.454303 | − | 0.786876i | −0.544345 | − | 0.838862i | \(-0.683222\pi\) |
0.998648 | + | 0.0519857i | \(0.0165550\pi\) | |||||||
\(458\) | 9141.67 | − | 15833.8i | 0.932669 | − | 1.61543i | ||||
\(459\) | −178.429 | − | 309.049i | −0.0181446 | − | 0.0314274i | ||||
\(460\) | 20111.6 | 2.03850 | ||||||||
\(461\) | −4742.65 | −0.479148 | −0.239574 | − | 0.970878i | \(-0.577008\pi\) | ||||
−0.239574 | + | 0.970878i | \(0.577008\pi\) | |||||||
\(462\) | −4519.23 | + | 7827.54i | −0.455094 | + | 0.788247i | ||||
\(463\) | 5020.82 | + | 8696.31i | 0.503968 | + | 0.872898i | 0.999989 | + | 0.00458796i | \(0.00146040\pi\) |
−0.496021 | + | 0.868310i | \(0.665206\pi\) | |||||||
\(464\) | 1342.61 | 0.134330 | ||||||||
\(465\) | 1157.94 | − | 2005.61i | 0.115480 | − | 0.200017i | ||||
\(466\) | −21059.5 | −2.09348 | ||||||||
\(467\) | −4073.04 | − | 7054.72i | −0.403593 | − | 0.699044i | 0.590564 | − | 0.806991i | \(-0.298905\pi\) |
−0.994157 | + | 0.107947i | \(0.965572\pi\) | |||||||
\(468\) | 319.741 | 0.0315813 | ||||||||
\(469\) | −13740.4 | + | 190.052i | −1.35282 | + | 0.0187117i | ||||
\(470\) | 27424.6 | 2.69150 | ||||||||
\(471\) | −200.887 | − | 347.947i | −0.0196527 | − | 0.0340394i | ||||
\(472\) | −30546.0 | −2.97880 | ||||||||
\(473\) | 895.079 | − | 1550.32i | 0.0870101 | − | 0.150706i | ||||
\(474\) | −5899.07 | −0.571632 | ||||||||
\(475\) | 531.678 | + | 920.893i | 0.0513580 | + | 0.0889546i | ||||
\(476\) | −2703.19 | + | 4682.06i | −0.260295 | + | 0.450844i | ||||
\(477\) | 1845.02 | 0.177102 | ||||||||
\(478\) | 28094.5 | 2.68831 | ||||||||
\(479\) | 1988.35 | + | 3443.92i | 0.189666 | + | 0.328511i | 0.945139 | − | 0.326669i | \(-0.105926\pi\) |
−0.755473 | + | 0.655180i | \(0.772593\pi\) | |||||||
\(480\) | 464.478 | − | 804.500i | 0.0441676 | − | 0.0765005i | ||||
\(481\) | 103.241 | − | 178.819i | 0.00978667 | − | 0.0169510i | ||||
\(482\) | −11910.9 | − | 20630.3i | −1.12557 | − | 1.94955i | ||||
\(483\) | 7819.19 | 0.736616 | ||||||||
\(484\) | −12025.6 | −1.12938 | ||||||||
\(485\) | 4500.73 | + | 7795.50i | 0.421377 | + | 0.729846i | ||||
\(486\) | 599.239 | + | 1037.91i | 0.0559301 | + | 0.0968738i | ||||
\(487\) | 5097.32 | + | 8828.81i | 0.474295 | + | 0.821502i | 0.999567 | − | 0.0294320i | \(-0.00936985\pi\) |
−0.525272 | + | 0.850934i | \(0.676037\pi\) | |||||||
\(488\) | −888.226 | − | 1538.45i | −0.0823937 | − | 0.142710i | ||||
\(489\) | −2481.42 | + | 4297.95i | −0.229476 | + | 0.397464i | ||||
\(490\) | 8319.48 | − | 14409.8i | 0.767012 | − | 1.32850i | ||||
\(491\) | 4877.69 | 0.448324 | 0.224162 | − | 0.974552i | \(-0.428036\pi\) | ||||
0.224162 | + | 0.974552i | \(0.428036\pi\) | |||||||
\(492\) | 10443.1 | + | 18087.9i | 0.956930 | + | 1.65745i | ||||
\(493\) | 246.808 | 0.0225470 | ||||||||
\(494\) | 747.276 | 0.0680598 | ||||||||
\(495\) | 1299.34 | − | 2250.52i | 0.117981 | − | 0.204350i | ||||
\(496\) | −4686.28 | −0.424234 | ||||||||
\(497\) | −12772.4 | − | 22122.4i | −1.15276 | − | 1.99663i | ||||
\(498\) | −7905.20 | + | 13692.2i | −0.711327 | + | 1.23205i | ||||
\(499\) | −5833.54 | − | 10104.0i | −0.523337 | − | 0.906447i | −0.999631 | − | 0.0271605i | \(-0.991353\pi\) |
0.476294 | − | 0.879286i | \(-0.341980\pi\) | |||||||
\(500\) | 10607.6 | − | 18372.8i | 0.948770 | − | 1.64332i | ||||
\(501\) | −546.234 | + | 946.106i | −0.0487105 | + | 0.0843690i | ||||
\(502\) | −10504.9 | + | 18195.0i | −0.933978 | + | 1.61770i | ||||
\(503\) | 5531.99 | − | 9581.69i | 0.490376 | − | 0.849357i | −0.509562 | − | 0.860434i | \(-0.670193\pi\) |
0.999939 | + | 0.0110771i | \(0.00352603\pi\) | |||||||
\(504\) | 4629.50 | − | 8018.53i | 0.409155 | − | 0.708678i | ||||
\(505\) | 9691.08 | − | 16785.4i | 0.853955 | − | 1.47909i | ||||
\(506\) | −6253.58 | − | 10831.5i | −0.549418 | − | 0.951620i | ||||
\(507\) | 3288.40 | − | 5695.67i | 0.288053 | − | 0.498922i | ||||
\(508\) | 14753.8 | + | 25554.4i | 1.28857 | + | 2.23188i | ||||
\(509\) | −6428.09 | −0.559764 | −0.279882 | − | 0.960034i | \(-0.590295\pi\) | ||||
−0.279882 | + | 0.960034i | \(0.590295\pi\) | |||||||
\(510\) | 1158.07 | − | 2005.84i | 0.100549 | − | 0.174157i | ||||
\(511\) | 29437.2 | 2.54839 | ||||||||
\(512\) | 21736.2 | 1.87620 | ||||||||
\(513\) | 939.897 | + | 1627.95i | 0.0808918 | + | 0.140109i | ||||
\(514\) | −35978.3 | −3.08742 | ||||||||
\(515\) | 2410.89 | − | 4175.78i | 0.206285 | − | 0.357295i | ||||
\(516\) | −1798.07 | + | 3114.35i | −0.153402 | + | 0.265701i | ||||
\(517\) | −5722.96 | − | 9912.46i | −0.486839 | − | 0.843229i | ||||
\(518\) | −5862.64 | − | 10154.4i | −0.497278 | − | 0.861310i | ||||
\(519\) | −6101.44 | − | 10568.0i | −0.516037 | − | 0.893803i | ||||
\(520\) | 529.129 | + | 916.479i | 0.0446228 | + | 0.0772890i | ||||
\(521\) | −16960.5 | −1.42621 | −0.713103 | − | 0.701060i | \(-0.752711\pi\) | ||||
−0.713103 | + | 0.701060i | \(0.752711\pi\) | |||||||
\(522\) | −828.883 | −0.0695005 | ||||||||
\(523\) | 6992.10 | + | 12110.7i | 0.584595 | + | 1.01255i | 0.994926 | + | 0.100612i | \(0.0320800\pi\) |
−0.410331 | + | 0.911937i | \(0.634587\pi\) | |||||||
\(524\) | 15458.5 | − | 26774.8i | 1.28875 | − | 2.23218i | ||||
\(525\) | −574.051 | + | 994.286i | −0.0477212 | + | 0.0826556i | ||||
\(526\) | −11238.8 | − | 19466.1i | −0.931622 | − | 1.61362i | ||||
\(527\) | −861.467 | −0.0712070 | ||||||||
\(528\) | −5258.54 | −0.433425 | ||||||||
\(529\) | 673.514 | − | 1166.56i | 0.0553558 | − | 0.0958790i | ||||
\(530\) | 5987.42 | + | 10370.5i | 0.490711 | + | 0.849936i | ||||
\(531\) | 6695.81 | 0.547219 | ||||||||
\(532\) | 14239.4 | − | 24663.3i | 1.16044 | − | 2.00994i | ||||
\(533\) | −928.114 | −0.0754242 | ||||||||
\(534\) | −4836.74 | − | 8377.48i | −0.391959 | − | 0.678893i | ||||
\(535\) | −2471.65 | −0.199736 | ||||||||
\(536\) | −11527.0 | − | 19342.5i | −0.928900 | − | 1.55871i | ||||
\(537\) | −3752.01 | −0.301511 | ||||||||
\(538\) | 19767.0 | + | 34237.5i | 1.58404 | + | 2.74365i | ||||
\(539\) | −6944.43 | −0.554949 | ||||||||
\(540\) | −2610.16 | + | 4520.93i | −0.208006 | + | 0.360277i | ||||
\(541\) | 478.667 | 0.0380397 | 0.0190199 | − | 0.999819i | \(-0.493945\pi\) | ||||
0.0190199 | + | 0.999819i | \(0.493945\pi\) | |||||||
\(542\) | 2796.69 | + | 4844.00i | 0.221638 | + | 0.383889i | ||||
\(543\) | 291.696 | − | 505.232i | 0.0230531 | − | 0.0399292i | ||||
\(544\) | −345.556 | −0.0272346 | ||||||||
\(545\) | −16587.9 | −1.30376 | ||||||||
\(546\) | 403.416 | + | 698.738i | 0.0316202 | + | 0.0547678i | ||||
\(547\) | −8860.85 | + | 15347.4i | −0.692619 | + | 1.19965i | 0.278358 | + | 0.960477i | \(0.410210\pi\) |
−0.970977 | + | 0.239174i | \(0.923123\pi\) | |||||||
\(548\) | −7343.92 | + | 12720.0i | −0.572476 | + | 0.991558i | ||||
\(549\) | 194.703 | + | 337.235i | 0.0151361 | + | 0.0262165i | ||||
\(550\) | 1836.44 | 0.142375 | ||||||||
\(551\) | −1300.09 | −0.100519 | ||||||||
\(552\) | 6406.17 | + | 11095.8i | 0.493958 | + | 0.855560i | ||||
\(553\) | −4995.01 | − | 8651.61i | −0.384104 | − | 0.665287i | ||||
\(554\) | −11057.2 | − | 19151.6i | −0.847967 | − | 1.46872i | ||||
\(555\) | 1685.58 | + | 2919.52i | 0.128917 | + | 0.223291i | ||||
\(556\) | −6816.51 | + | 11806.5i | −0.519936 | + | 0.900556i | ||||
\(557\) | −5599.84 | + | 9699.21i | −0.425984 | + | 0.737825i | −0.996512 | − | 0.0834529i | \(-0.973405\pi\) |
0.570528 | + | 0.821278i | \(0.306739\pi\) | |||||||
\(558\) | 2893.16 | 0.219493 | ||||||||
\(559\) | −79.9007 | − | 138.392i | −0.00604551 | − | 0.0104711i | ||||
\(560\) | 21337.2 | 1.61011 | ||||||||
\(561\) | −966.663 | −0.0727497 | ||||||||
\(562\) | 3830.20 | − | 6634.11i | 0.287486 | − | 0.497941i | ||||
\(563\) | 2736.43 | 0.204843 | 0.102422 | − | 0.994741i | \(-0.467341\pi\) | ||||
0.102422 | + | 0.994741i | \(0.467341\pi\) | |||||||
\(564\) | 11496.5 | + | 19912.6i | 0.858317 | + | 1.48665i | ||||
\(565\) | 8728.46 | − | 15118.1i | 0.649928 | − | 1.12571i | ||||
\(566\) | 2814.72 | + | 4875.23i | 0.209031 | + | 0.362052i | ||||
\(567\) | −1014.81 | + | 1757.69i | −0.0751637 | + | 0.130187i | ||||
\(568\) | 20928.5 | − | 36249.3i | 1.54602 | − | 2.67779i | ||||
\(569\) | 2592.25 | − | 4489.91i | 0.190989 | − | 0.330803i | −0.754589 | − | 0.656197i | \(-0.772164\pi\) |
0.945578 | + | 0.325395i | \(0.105497\pi\) | |||||||
\(570\) | −6100.27 | + | 10566.0i | −0.448267 | + | 0.776422i | ||||
\(571\) | 6515.50 | − | 11285.2i | 0.477522 | − | 0.827093i | −0.522146 | − | 0.852856i | \(-0.674868\pi\) |
0.999668 | + | 0.0257633i | \(0.00820162\pi\) | |||||||
\(572\) | 433.060 | − | 750.082i | 0.0316558 | − | 0.0548295i | ||||
\(573\) | 2278.90 | + | 3947.16i | 0.166147 | + | 0.287775i | ||||
\(574\) | −26351.9 | + | 45642.9i | −1.91622 | + | 3.31898i | ||||
\(575\) | −794.355 | − | 1375.86i | −0.0576120 | − | 0.0997869i | ||||
\(576\) | −4016.20 | −0.290524 | ||||||||
\(577\) | 5360.72 | − | 9285.05i | 0.386776 | − | 0.669916i | −0.605238 | − | 0.796045i | \(-0.706922\pi\) |
0.992014 | + | 0.126129i | \(0.0402553\pi\) | |||||||
\(578\) | 23369.4 | 1.68173 | ||||||||
\(579\) | −11045.0 | −0.792769 | ||||||||
\(580\) | −1805.22 | − | 3126.73i | −0.129237 | − | 0.223846i | ||||
\(581\) | −26774.8 | −1.91188 | ||||||||
\(582\) | −5622.65 | + | 9738.71i | −0.400458 | + | 0.693613i | ||||
\(583\) | 2498.90 | − | 4328.23i | 0.177520 | − | 0.307473i | ||||
\(584\) | 24117.6 | + | 41772.8i | 1.70889 | + | 2.95988i | ||||
\(585\) | −115.987 | − | 200.896i | −0.00819741 | − | 0.0141983i | ||||
\(586\) | 3200.38 | + | 5543.21i | 0.225608 | + | 0.390765i | ||||
\(587\) | 2286.50 | + | 3960.33i | 0.160773 | + | 0.278467i | 0.935146 | − | 0.354262i | \(-0.115268\pi\) |
−0.774373 | + | 0.632729i | \(0.781935\pi\) | |||||||
\(588\) | 13950.3 | 0.978399 | ||||||||
\(589\) | 4537.88 | 0.317454 | ||||||||
\(590\) | 21729.1 | + | 37635.9i | 1.51623 | + | 2.62618i | ||||
\(591\) | −7968.33 | + | 13801.6i | −0.554608 | + | 0.960609i | ||||
\(592\) | 3410.86 | − | 5907.78i | 0.236800 | − | 0.410149i | ||||
\(593\) | −1041.60 | − | 1804.11i | −0.0721306 | − | 0.124934i | 0.827704 | − | 0.561165i | \(-0.189647\pi\) |
−0.899835 | + | 0.436231i | \(0.856313\pi\) | |||||||
\(594\) | 3246.45 | 0.224249 | ||||||||
\(595\) | 3922.36 | 0.270254 | ||||||||
\(596\) | 11005.4 | − | 19062.0i | 0.756376 | − | 1.31008i | ||||
\(597\) | −3030.30 | − | 5248.63i | −0.207742 | − | 0.359819i | ||||
\(598\) | −1116.47 | −0.0763477 | ||||||||
\(599\) | 8840.23 | − | 15311.7i | 0.603008 | − | 1.04444i | −0.389355 | − | 0.921088i | \(-0.627302\pi\) |
0.992363 | − | 0.123353i | \(-0.0393648\pi\) | |||||||
\(600\) | −1881.25 | −0.128003 | ||||||||
\(601\) | 2813.06 | + | 4872.37i | 0.190927 | + | 0.330696i | 0.945558 | − | 0.325454i | \(-0.105517\pi\) |
−0.754631 | + | 0.656150i | \(0.772184\pi\) | |||||||
\(602\) | −9074.47 | −0.614365 | ||||||||
\(603\) | 2526.77 | + | 4239.96i | 0.170643 | + | 0.286342i | ||||
\(604\) | 41502.6 | 2.79589 | ||||||||
\(605\) | 4362.32 | + | 7555.77i | 0.293147 | + | 0.507745i | ||||
\(606\) | 24213.6 | 1.62312 | ||||||||
\(607\) | 3081.75 | − | 5337.75i | 0.206070 | − | 0.356923i | −0.744403 | − | 0.667730i | \(-0.767266\pi\) |
0.950473 | + | 0.310807i | \(0.100599\pi\) | |||||||
\(608\) | 1820.26 | 0.121417 | ||||||||
\(609\) | −701.853 | − | 1215.64i | −0.0467003 | − | 0.0808873i | ||||
\(610\) | −1263.69 | + | 2188.78i | −0.0838777 | + | 0.145280i | ||||
\(611\) | −1021.74 | −0.0676516 | ||||||||
\(612\) | 1941.87 | 0.128261 | ||||||||
\(613\) | 12439.1 | + | 21545.2i | 0.819593 | + | 1.41958i | 0.905982 | + | 0.423315i | \(0.139134\pi\) |
−0.0863895 | + | 0.996261i | \(0.527533\pi\) | |||||||
\(614\) | −24294.5 | + | 42079.2i | −1.59681 | + | 2.76576i | ||||
\(615\) | 7576.52 | − | 13122.9i | 0.496772 | − | 0.860434i | ||||
\(616\) | −12540.4 | − | 21720.7i | −0.820242 | − | 1.42070i | ||||
\(617\) | −9595.44 | −0.626091 | −0.313045 | − | 0.949738i | \(-0.601349\pi\) | ||||
−0.313045 | + | 0.949738i | \(0.601349\pi\) | |||||||
\(618\) | 6023.73 | 0.392087 | ||||||||
\(619\) | 3977.11 | + | 6888.56i | 0.258245 | + | 0.447294i | 0.965772 | − | 0.259393i | \(-0.0835225\pi\) |
−0.707527 | + | 0.706686i | \(0.750189\pi\) | |||||||
\(620\) | 6301.00 | + | 10913.7i | 0.408152 | + | 0.706941i | ||||
\(621\) | −1404.26 | − | 2432.25i | −0.0907422 | − | 0.157170i | ||||
\(622\) | 8266.52 | + | 14318.0i | 0.532890 | + | 0.922992i | ||||
\(623\) | 8190.97 | − | 14187.2i | 0.526748 | − | 0.912355i | ||||
\(624\) | −234.706 | + | 406.522i | −0.0150573 | + | 0.0260800i | ||||
\(625\) | −17300.9 | −1.10726 | ||||||||
\(626\) | 16553.0 | + | 28670.7i | 1.05686 | + | 1.83053i | ||||
\(627\) | 5092.01 | 0.324331 | ||||||||
\(628\) | 2186.29 | 0.138921 | ||||||||
\(629\) | 627.010 | − | 1086.01i | 0.0397465 | − | 0.0688429i | ||||
\(630\) | −13172.9 | −0.833049 | ||||||||
\(631\) | −15502.1 | − | 26850.5i | −0.978020 | − | 1.69398i | −0.669586 | − | 0.742734i | \(-0.733529\pi\) |
−0.308433 | − | 0.951246i | \(-0.599805\pi\) | |||||||
\(632\) | 8184.70 | − | 14176.3i | 0.515142 | − | 0.892252i | ||||
\(633\) | −4044.24 | − | 7004.83i | −0.253940 | − | 0.439837i | ||||
\(634\) | −1415.28 | + | 2451.33i | −0.0886558 | + | 0.153556i | ||||
\(635\) | 10704.0 | − | 18539.9i | 0.668938 | − | 1.15864i | ||||
\(636\) | −5019.90 | + | 8694.72i | −0.312975 | + | 0.542088i | ||||
\(637\) | −309.953 | + | 536.854i | −0.0192791 | + | 0.0333924i | ||||
\(638\) | −1122.65 | + | 1944.48i | −0.0696645 | + | 0.120662i | ||||
\(639\) | −4587.62 | + | 7945.98i | −0.284011 | + | 0.491922i | ||||
\(640\) | −14271.9 | − | 24719.6i | −0.881478 | − | 1.52677i | ||||
\(641\) | −4248.49 | + | 7358.60i | −0.261787 | + | 0.453428i | −0.966717 | − | 0.255849i | \(-0.917645\pi\) |
0.704930 | + | 0.709277i | \(0.250978\pi\) | |||||||
\(642\) | −1543.88 | − | 2674.09i | −0.0949101 | − | 0.164389i | ||||
\(643\) | 129.803 | 0.00796098 | 0.00398049 | − | 0.999992i | \(-0.498733\pi\) | ||||
0.00398049 | + | 0.999992i | \(0.498733\pi\) | |||||||
\(644\) | −21274.4 | + | 36848.3i | −1.30175 | + | 2.25470i | ||||
\(645\) | 2609.03 | 0.159272 | ||||||||
\(646\) | 4538.40 | 0.276410 | ||||||||
\(647\) | 2559.96 | + | 4433.98i | 0.155552 | + | 0.269425i | 0.933260 | − | 0.359202i | \(-0.116951\pi\) |
−0.777708 | + | 0.628626i | \(0.783618\pi\) | |||||||
\(648\) | −3325.67 | −0.201612 | ||||||||
\(649\) | 9068.85 | − | 15707.7i | 0.548511 | − | 0.950048i | ||||
\(650\) | 81.9665 | − | 141.970i | 0.00494614 | − | 0.00856696i | ||||
\(651\) | 2449.77 | + | 4243.13i | 0.147487 | + | 0.255455i | ||||
\(652\) | −13502.8 | − | 23387.6i | −0.811061 | − | 1.40480i | ||||
\(653\) | −5323.03 | − | 9219.75i | −0.318999 | − | 0.552522i | 0.661281 | − | 0.750139i | \(-0.270013\pi\) |
−0.980279 | + | 0.197617i | \(0.936680\pi\) | |||||||
\(654\) | −10361.4 | − | 17946.5i | −0.619518 | − | 1.07304i | ||||
\(655\) | −22430.4 | −1.33806 | ||||||||
\(656\) | −30662.9 | −1.82498 | ||||||||
\(657\) | −5286.67 | − | 9156.77i | −0.313931 | − | 0.543744i | ||||
\(658\) | −29010.2 | + | 50247.2i | −1.71875 | + | 2.97696i | ||||
\(659\) | 7038.61 | − | 12191.2i | 0.416062 | − | 0.720641i | −0.579477 | − | 0.814989i | \(-0.696743\pi\) |
0.995539 | + | 0.0943473i | \(0.0300764\pi\) | |||||||
\(660\) | 7070.43 | + | 12246.4i | 0.416994 | + | 0.722255i | ||||
\(661\) | −17432.5 | −1.02579 | −0.512895 | − | 0.858451i | \(-0.671427\pi\) | ||||
−0.512895 | + | 0.858451i | \(0.671427\pi\) | |||||||
\(662\) | 31859.5 | 1.87048 | ||||||||
\(663\) | −43.1454 | + | 74.7300i | −0.00252734 | + | 0.00437748i | ||||
\(664\) | −21936.2 | − | 37994.6i | −1.28206 | − | 2.22060i | ||||
\(665\) | −20661.5 | −1.20484 | ||||||||
\(666\) | −2105.76 | + | 3647.28i | −0.122517 | + | 0.212206i | ||||
\(667\) | 1942.41 | 0.112759 | ||||||||
\(668\) | −2972.38 | − | 5148.31i | −0.172163 | − | 0.298194i | ||||
\(669\) | −9316.58 | −0.538415 | ||||||||
\(670\) | −15632.2 | + | 27961.9i | −0.901382 | + | 1.61233i | ||||
\(671\) | 1054.83 | 0.0606872 | ||||||||
\(672\) | 982.665 | + | 1702.03i | 0.0564094 | + | 0.0977040i | ||||
\(673\) | 15891.1 | 0.910186 | 0.455093 | − | 0.890444i | \(-0.349606\pi\) | ||||
0.455093 | + | 0.890444i | \(0.349606\pi\) | |||||||
\(674\) | 1335.93 | − | 2313.89i | 0.0763471 | − | 0.132237i | ||||
\(675\) | 412.378 | 0.0235147 | ||||||||
\(676\) | 17894.1 | + | 30993.4i | 1.01810 | + | 1.76339i | ||||
\(677\) | 4106.34 | − | 7112.38i | 0.233116 | − | 0.403768i | −0.725608 | − | 0.688109i | \(-0.758441\pi\) |
0.958723 | + | 0.284340i | \(0.0917746\pi\) | |||||||
\(678\) | 21808.5 | 1.23532 | ||||||||
\(679\) | −19043.8 | −1.07634 | ||||||||
\(680\) | 3213.54 | + | 5566.02i | 0.181226 | + | 0.313893i | ||||
\(681\) | −4828.12 | + | 8362.56i | −0.271680 | + | 0.470564i | ||||
\(682\) | 3918.52 | − | 6787.07i | 0.220011 | − | 0.381071i | ||||
\(683\) | −604.443 | − | 1046.93i | −0.0338629 | − | 0.0586523i | 0.848597 | − | 0.529039i | \(-0.177448\pi\) |
−0.882460 | + | 0.470387i | \(0.844114\pi\) | |||||||
\(684\) | −10229.0 | −0.571809 | ||||||||
\(685\) | 10656.1 | 0.594380 | ||||||||
\(686\) | −3593.17 | − | 6223.55i | −0.199982 | − | 0.346379i | ||||
\(687\) | −5560.62 | − | 9631.27i | −0.308807 | − | 0.534870i | ||||
\(688\) | −2639.74 | − | 4572.17i | −0.146278 | − | 0.253361i | ||||
\(689\) | −223.069 | − | 386.366i | −0.0123342 | − | 0.0213634i | ||||
\(690\) | 9114.14 | − | 15786.2i | 0.502854 | − | 0.870969i | ||||
\(691\) | 8014.30 | − | 13881.2i | 0.441213 | − | 0.764204i | −0.556566 | − | 0.830803i | \(-0.687881\pi\) |
0.997780 | + | 0.0665990i | \(0.0212148\pi\) | |||||||
\(692\) | 66402.9 | 3.64777 | ||||||||
\(693\) | 2748.92 | + | 4761.26i | 0.150682 | + | 0.260989i | ||||
\(694\) | −1417.48 | −0.0775314 | ||||||||
\(695\) | 9890.86 | 0.539830 | ||||||||
\(696\) | 1150.04 | − | 1991.92i | 0.0626323 | − | 0.108482i | ||||
\(697\) | −5636.68 | −0.306319 | ||||||||
\(698\) | −27688.7 | − | 47958.3i | −1.50148 | − | 2.60064i | ||||
\(699\) | −6404.93 | + | 11093.7i | −0.346576 | + | 0.600288i | ||||
\(700\) | −3123.74 | − | 5410.48i | −0.168666 | − | 0.292139i | ||||
\(701\) | 11677.2 | − | 20225.4i | 0.629158 | − | 1.08973i | −0.358563 | − | 0.933506i | \(-0.616733\pi\) |
0.987721 | − | 0.156228i | \(-0.0499336\pi\) | |||||||
\(702\) | 144.900 | − | 250.974i | 0.00779045 | − | 0.0134935i | ||||
\(703\) | −3302.85 | + | 5720.70i | −0.177197 | + | 0.306914i | ||||
\(704\) | −5439.56 | + | 9421.60i | −0.291209 | + | 0.504389i | ||||
\(705\) | 8340.81 | − | 14446.7i | 0.445579 | − | 0.771765i | ||||
\(706\) | 25486.7 | − | 44144.2i | 1.35864 | − | 2.35324i | ||||
\(707\) | 20502.8 | + | 35511.8i | 1.09064 | + | 1.88905i | ||||
\(708\) | −18217.9 | + | 31554.3i | −0.967047 | + | 1.67498i | ||||
\(709\) | 1684.39 | + | 2917.45i | 0.0892223 | + | 0.154537i | 0.907183 | − | 0.420737i | \(-0.138229\pi\) |
−0.817960 | + | 0.575275i | \(0.804895\pi\) | |||||||
\(710\) | −59550.6 | −3.14774 | ||||||||
\(711\) | −1794.12 | + | 3107.50i | −0.0946339 | + | 0.163911i | ||||
\(712\) | 26843.0 | 1.41290 | ||||||||
\(713\) | −6779.84 | −0.356111 | ||||||||
\(714\) | 2450.05 | + | 4243.62i | 0.128419 | + | 0.222428i | ||||
\(715\) | −628.376 | −0.0328670 | ||||||||
\(716\) | 10208.4 | − | 17681.5i | 0.532831 | − | 0.922890i | ||||
\(717\) | 8544.53 | − | 14799.6i | 0.445050 | − | 0.770850i | ||||
\(718\) | 1177.29 | + | 2039.12i | 0.0611921 | + | 0.105988i | ||||
\(719\) | 3997.36 | + | 6923.64i | 0.207339 | + | 0.359121i | 0.950875 | − | 0.309574i | \(-0.100186\pi\) |
−0.743537 | + | 0.668695i | \(0.766853\pi\) | |||||||
\(720\) | −3831.97 | − | 6637.17i | −0.198346 | − | 0.343545i | ||||
\(721\) | 5100.56 | + | 8834.43i | 0.263460 | + | 0.456326i | ||||
\(722\) | 9922.09 | 0.511443 | ||||||||
\(723\) | −14490.1 | −0.745358 | ||||||||
\(724\) | 1587.28 | + | 2749.26i | 0.0814792 | + | 0.141126i | ||||
\(725\) | −142.603 | + | 246.996i | −0.00730502 | + | 0.0126527i | ||||
\(726\) | −5449.74 | + | 9439.23i | −0.278593 | + | 0.482538i | ||||
\(727\) | −10212.6 | − | 17688.7i | −0.520996 | − | 0.902392i | −0.999702 | − | 0.0244167i | \(-0.992227\pi\) |
0.478705 | − | 0.877976i | \(-0.341106\pi\) | |||||||
\(728\) | −2238.89 | −0.113982 | ||||||||
\(729\) | 729.000 | 0.0370370 | ||||||||
\(730\) | 34312.4 | − | 59430.8i | 1.73967 | − | 3.01319i | ||||
\(731\) | −485.258 | − | 840.491i | −0.0245525 | − | 0.0425262i | ||||
\(732\) | −2118.98 | −0.106994 | ||||||||
\(733\) | −15003.5 | + | 25986.8i | −0.756024 | + | 1.30947i | 0.188840 | + | 0.982008i | \(0.439527\pi\) |
−0.944864 | + | 0.327464i | \(0.893806\pi\) | |||||||
\(734\) | 5271.03 | 0.265064 | ||||||||
\(735\) | −5060.50 | − | 8765.05i | −0.253958 | − | 0.439869i | ||||
\(736\) | −2719.57 | −0.136202 | ||||||||
\(737\) | 13368.8 | − | 184.913i | 0.668176 | − | 0.00924199i | ||||
\(738\) | 18930.3 | 0.944219 | ||||||||
\(739\) | 2988.50 | + | 5176.23i | 0.148760 | + | 0.257660i | 0.930769 | − | 0.365607i | \(-0.119138\pi\) |
−0.782009 | + | 0.623267i | \(0.785805\pi\) | |||||||
\(740\) | −18344.5 | −0.911292 | ||||||||
\(741\) | 227.273 | − | 393.649i | 0.0112673 | − | 0.0195156i | ||||
\(742\) | −25334.3 | −1.25344 | ||||||||
\(743\) | 17393.2 | + | 30125.9i | 0.858808 | + | 1.48750i | 0.873067 | + | 0.487600i | \(0.162128\pi\) |
−0.0142596 | + | 0.999898i | \(0.504539\pi\) | |||||||
\(744\) | −4014.13 | + | 6952.68i | −0.197803 | + | 0.342604i | ||||
\(745\) | −15969.0 | −0.785315 | ||||||||
\(746\) | −19599.7 | −0.961923 | ||||||||
\(747\) | 4808.51 | + | 8328.58i | 0.235521 | + | 0.407934i | ||||
\(748\) | 2630.09 | − | 4555.44i | 0.128563 | − | 0.222678i | ||||
\(749\) | 2614.55 | − | 4528.54i | 0.127548 | − | 0.220920i | ||||
\(750\) | −9614.24 | − | 16652.4i | −0.468083 | − | 0.810744i | ||||
\(751\) | 8619.86 | 0.418832 | 0.209416 | − | 0.977827i | \(-0.432844\pi\) | ||||
0.209416 | + | 0.977827i | \(0.432844\pi\) | |||||||
\(752\) | −33756.0 | −1.63691 | ||||||||
\(753\) | 6389.83 | + | 11067.5i | 0.309241 | + | 0.535621i | ||||
\(754\) | 100.215 | + | 173.577i | 0.00484032 | + | 0.00838369i | ||||
\(755\) | −15055.2 | − | 26076.4i | −0.725715 | − | 1.25698i | ||||
\(756\) | −5522.14 | − | 9564.63i | −0.265659 | − | 0.460135i | ||||
\(757\) | 6641.36 | − | 11503.2i | 0.318869 | − | 0.552298i | −0.661383 | − | 0.750048i | \(-0.730030\pi\) |
0.980252 | + | 0.197750i | \(0.0633635\pi\) | |||||||
\(758\) | −24034.0 | + | 41628.1i | −1.15165 | + | 1.99472i | ||||
\(759\) | −7607.74 | −0.363826 | ||||||||
\(760\) | −16927.7 | − | 29319.6i | −0.807937 | − | 1.39939i | ||||
\(761\) | 22374.1 | 1.06578 | 0.532890 | − | 0.846184i | \(-0.321106\pi\) | ||||
0.532890 | + | 0.846184i | \(0.321106\pi\) | |||||||
\(762\) | 26744.5 | 1.27146 | ||||||||
\(763\) | 17547.0 | − | 30392.3i | 0.832561 | − | 1.44204i | ||||
\(764\) | −24801.6 | −1.17446 | ||||||||
\(765\) | −704.421 | − | 1220.09i | −0.0332920 | − | 0.0576635i | ||||
\(766\) | −5883.32 | + | 10190.2i | −0.277510 | + | 0.480662i | ||||
\(767\) | −809.545 | − | 1402.17i | −0.0381108 | − | 0.0660098i | ||||
\(768\) | 12474.6 | − | 21606.6i | 0.586117 | − | 1.01518i | ||||
\(769\) | 2816.97 | − | 4879.14i | 0.132097 | − | 0.228799i | −0.792388 | − | 0.610018i | \(-0.791162\pi\) |
0.924485 | + | 0.381219i | \(0.124496\pi\) | |||||||
\(770\) | −17841.5 | + | 30902.3i | −0.835015 | + | 1.44629i | ||||
\(771\) | −10942.3 | + | 18952.6i | −0.511125 | + | 0.885294i | ||||
\(772\) | 30051.0 | − | 52049.9i | 1.40098 | − | 2.42658i | ||||
\(773\) | −3954.02 | + | 6848.56i | −0.183980 | + | 0.318662i | −0.943232 | − | 0.332134i | \(-0.892231\pi\) |
0.759253 | + | 0.650796i | \(0.225565\pi\) | |||||||
\(774\) | 1629.69 | + | 2822.71i | 0.0756824 | + | 0.131086i | ||||
\(775\) | 497.746 | − | 862.122i | 0.0230704 | − | 0.0399592i | ||||
\(776\) | −15602.3 | − | 27024.0i | −0.721767 | − | 1.25014i | ||||
\(777\) | −7132.16 | −0.329298 | ||||||||
\(778\) | 5234.64 | − | 9066.67i | 0.241222 | − | 0.417810i | ||||
\(779\) | 29691.9 | 1.36562 | ||||||||
\(780\) | 1262.31 | 0.0579460 | ||||||||
\(781\) | 12427.0 | + | 21524.2i | 0.569363 | + | 0.986166i | ||||
\(782\) | −6780.62 | −0.310070 | ||||||||
\(783\) | −252.093 | + | 436.638i | −0.0115058 | + | 0.0199287i | ||||
\(784\) | −10240.2 | + | 17736.5i | −0.466480 | + | 0.807967i | ||||
\(785\) | −793.084 | − | 1373.66i | −0.0360591 | − | 0.0624561i | ||||
\(786\) | −14010.9 | − | 24267.6i | −0.635816 | − | 1.10127i | ||||
\(787\) | 3512.87 | + | 6084.47i | 0.159111 | + | 0.275588i | 0.934548 | − | 0.355836i | \(-0.115804\pi\) |
−0.775437 | + | 0.631424i | \(0.782471\pi\) | |||||||
\(788\) | −43360.3 | − | 75102.2i | −1.96021 | − | 3.39518i | ||||
\(789\) | −13672.4 | −0.616922 | ||||||||
\(790\) | −23289.0 | −1.04884 | ||||||||
\(791\) | 18466.2 | + | 31984.4i | 0.830067 | + | 1.43772i | ||||
\(792\) | −4504.31 | + | 7801.69i | −0.202088 | + | 0.350026i | ||||
\(793\) | 47.0804 | − | 81.5457i | 0.00210829 | − | 0.00365167i | ||||
\(794\) | 8152.00 | + | 14119.7i | 0.364362 | + | 0.631094i | ||||
\(795\) | 7283.95 | 0.324950 | ||||||||
\(796\) | 32979.2 | 1.46849 | ||||||||
\(797\) | 314.397 | − | 544.551i | 0.0139730 | − | 0.0242020i | −0.858954 | − | 0.512052i | \(-0.828885\pi\) |
0.872927 | + | 0.487850i | \(0.162219\pi\) | |||||||
\(798\) | −12905.9 | − | 22353.7i | −0.572513 | − | 0.991621i | ||||
\(799\) | −6205.29 | −0.274752 | ||||||||
\(800\) | 199.659 | − | 345.819i | 0.00882375 | − | 0.0152832i | ||||
\(801\) | −5884.10 | −0.259556 | ||||||||
\(802\) | 26384.9 | + | 45700.1i | 1.16170 | + | 2.01213i | ||||
\(803\) | −28641.2 | −1.25869 | ||||||||
\(804\) | −26855.8 | + | 371.460i | −1.17802 | + | 0.0162940i | ||||
\(805\) | 30869.4 | 1.35156 | ||||||||
\(806\) | −349.793 | − | 605.859i | −0.0152865 | − | 0.0264770i | ||||
\(807\) | 24047.4 | 1.04896 | ||||||||
\(808\) | −33595.3 | + | 58188.8i | −1.46272 | + | 2.53351i | ||||
\(809\) | 13716.3 | 0.596092 | 0.298046 | − | 0.954551i | \(-0.403665\pi\) | ||||
0.298046 | + | 0.954551i | \(0.403665\pi\) | |||||||
\(810\) | 2365.74 | + | 4097.58i | 0.102622 | + | 0.177746i | ||||
\(811\) | 6663.65 | − | 11541.8i | 0.288523 | − | 0.499737i | −0.684934 | − | 0.728605i | \(-0.740169\pi\) |
0.973457 | + | 0.228868i | \(0.0735024\pi\) | |||||||
\(812\) | 7638.37 | 0.330116 | ||||||||
\(813\) | 3402.29 | 0.146769 | ||||||||
\(814\) | 5704.10 | + | 9879.80i | 0.245613 | + | 0.425414i | ||||
\(815\) | −9796.40 | + | 16967.9i | −0.421046 | + | 0.729274i | ||||
\(816\) | −1425.43 | + | 2468.92i | −0.0611520 | + | 0.105918i | ||||
\(817\) | 2556.15 | + | 4427.38i | 0.109459 | + | 0.189589i | ||||
\(818\) | 7366.75 | 0.314881 | ||||||||
\(819\) | 490.773 | 0.0209389 | ||||||||
\(820\) | 41228.2 | + | 71409.3i | 1.75579 | + | 3.04112i | ||||
\(821\) | 12155.9 | + | 21054.7i | 0.516742 | + | 0.895023i | 0.999811 | + | 0.0194409i | \(0.00618861\pi\) |
−0.483069 | + | 0.875582i | \(0.660478\pi\) | |||||||
\(822\) | 6656.22 | + | 11528.9i | 0.282436 | + | 0.489193i | ||||
\(823\) | 18352.7 | + | 31787.9i | 0.777323 | + | 1.34636i | 0.933480 | + | 0.358630i | \(0.116756\pi\) |
−0.156157 | + | 0.987732i | \(0.549911\pi\) | |||||||
\(824\) | −8357.65 | + | 14475.9i | −0.353340 | + | 0.612003i | ||||
\(825\) | 558.527 | − | 967.398i | 0.0235702 | − | 0.0408248i | ||||
\(826\) | −91941.6 | −3.87295 | ||||||||
\(827\) | −8879.65 | − | 15380.0i | −0.373369 | − | 0.646693i | 0.616713 | − | 0.787188i | \(-0.288464\pi\) |
−0.990081 | + | 0.140495i | \(0.955131\pi\) | |||||||
\(828\) | 15282.7 | 0.641440 | ||||||||
\(829\) | −41668.9 | −1.74574 | −0.872871 | − | 0.487950i | \(-0.837745\pi\) | ||||
−0.872871 | + | 0.487950i | \(0.837745\pi\) | |||||||
\(830\) | −31209.0 | + | 54055.5i | −1.30515 | + | 2.26059i | ||||
\(831\) | −13451.5 | −0.561525 | ||||||||
\(832\) | 485.571 | + | 841.034i | 0.0202334 | + | 0.0350452i | ||||
\(833\) | −1882.42 | + | 3260.45i | −0.0782979 | + | 0.135616i | ||||
\(834\) | 6178.20 | + | 10700.9i | 0.256515 | + | 0.444297i | ||||
\(835\) | −2156.48 | + | 3735.13i | −0.0893749 | + | 0.154802i | ||||
\(836\) | −13854.3 | + | 23996.3i | −0.573158 | + | 0.992739i | ||||
\(837\) | 879.914 | − | 1524.06i | 0.0363372 | − | 0.0629380i | ||||
\(838\) | −35397.7 | + | 61310.6i | −1.45918 | + | 2.52737i | ||||
\(839\) | −930.363 | + | 1611.44i | −0.0382833 | + | 0.0663086i | −0.884532 | − | 0.466479i | \(-0.845522\pi\) |
0.846249 | + | 0.532788i | \(0.178856\pi\) | |||||||
\(840\) | 18276.8 | − | 31656.4i | 0.750726 | − | 1.30030i | ||||
\(841\) | 12020.1 | + | 20819.5i | 0.492851 | + | 0.853643i | ||||
\(842\) | −4460.44 | + | 7725.71i | −0.182562 | + | 0.316206i | ||||
\(843\) | −2329.80 | − | 4035.34i | −0.0951870 | − | 0.164869i | ||||
\(844\) | 44014.1 | 1.79505 | ||||||||
\(845\) | 12982.3 | − | 22485.9i | 0.528525 | − | 0.915431i | ||||
\(846\) | 20839.9 | 0.846916 | ||||||||
\(847\) | −18458.2 | −0.748795 | ||||||||
\(848\) | −7369.70 | − | 12764.7i | −0.298439 | − | 0.516912i | ||||
\(849\) | 3424.22 | 0.138421 | ||||||||
\(850\) | 497.804 | − | 862.221i | 0.0200877 | − | 0.0347929i | ||||
\(851\) | 4934.63 | − | 8547.04i | 0.198775 | − | 0.344288i | ||||
\(852\) | −24963.9 | − | 43238.7i | −1.00381 | − | 1.73865i | ||||
\(853\) | 11360.1 | + | 19676.3i | 0.455993 | + | 0.789803i | 0.998745 | − | 0.0500901i | \(-0.0159508\pi\) |
−0.542752 | + | 0.839893i | \(0.682618\pi\) | |||||||
\(854\) | −2673.51 | − | 4630.65i | −0.107126 | − | 0.185548i | ||||
\(855\) | 3710.62 | + | 6426.98i | 0.148422 | + | 0.257074i | ||||
\(856\) | 8568.28 | 0.342123 | ||||||||
\(857\) | −32567.5 | −1.29812 | −0.649058 | − | 0.760739i | \(-0.724837\pi\) | ||||
−0.649058 | + | 0.760739i | \(0.724837\pi\) | |||||||
\(858\) | −392.507 | − | 679.842i | −0.0156177 | − | 0.0270506i | ||||
\(859\) | 15104.2 | − | 26161.2i | 0.599939 | − | 1.03913i | −0.392890 | − | 0.919585i | \(-0.628525\pi\) |
0.992829 | − | 0.119540i | \(-0.0381420\pi\) | |||||||
\(860\) | −7098.61 | + | 12295.1i | −0.281466 | + | 0.487513i | ||||
\(861\) | 16029.1 | + | 27763.3i | 0.634461 | + | 1.09892i | ||||
\(862\) | −55373.0 | −2.18795 | ||||||||
\(863\) | 1493.14 | 0.0588958 | 0.0294479 | − | 0.999566i | \(-0.490625\pi\) | ||||
0.0294479 | + | 0.999566i | \(0.490625\pi\) | |||||||
\(864\) | 352.956 | − | 611.337i | 0.0138979 | − | 0.0240719i | ||||
\(865\) | −24087.9 | − | 41721.4i | −0.946835 | − | 1.63997i | ||||
\(866\) | −41234.8 | −1.61803 | ||||||||
\(867\) | 7107.47 | − | 12310.5i | 0.278411 | − | 0.482222i | ||||
\(868\) | −26661.2 | −1.04256 | ||||||||
\(869\) | 4859.93 | + | 8417.65i | 0.189714 | + | 0.328595i | ||||
\(870\) | −3272.35 | −0.127521 | ||||||||
\(871\) | 582.398 | − | 1041.76i | 0.0226565 | − | 0.0405265i | ||||
\(872\) | 57504.1 | 2.23318 | ||||||||
\(873\) | 3420.10 | + | 5923.78i | 0.132592 | + | 0.229656i | ||||
\(874\) | 35717.7 | 1.38235 | ||||||||
\(875\) | 16281.6 | − | 28200.6i | 0.629050 | − | 1.08955i | ||||
\(876\) | 57535.6 | 2.21912 | ||||||||
\(877\) | −848.168 | − | 1469.07i | −0.0326574 | − | 0.0565644i | 0.849235 | − | 0.528015i | \(-0.177064\pi\) |
−0.881892 | + | 0.471451i | \(0.843730\pi\) | |||||||
\(878\) | −32000.1 | + | 55425.7i | −1.23001 | + | 2.13044i | ||||
\(879\) | 3893.39 | 0.149398 | ||||||||
\(880\) | −20760.2 | −0.795256 | ||||||||
\(881\) | −15236.5 | − | 26390.3i | −0.582667 | − | 1.00921i | −0.995162 | − | 0.0982490i | \(-0.968676\pi\) |
0.412495 | − | 0.910960i | \(-0.364657\pi\) | |||||||
\(882\) | 6321.96 | − | 10949.9i | 0.241351 | − | 0.418032i | ||||
\(883\) | −11408.6 | + | 19760.2i | −0.434800 | + | 0.753096i | −0.997279 | − | 0.0737157i | \(-0.976514\pi\) |
0.562479 | + | 0.826811i | \(0.309848\pi\) | |||||||
\(884\) | −234.779 | − | 406.649i | −0.00893265 | − | 0.0154718i | ||||
\(885\) | 26434.4 | 1.00405 | ||||||||
\(886\) | −26068.1 | −0.988460 | ||||||||
\(887\) | 2861.62 | + | 4956.47i | 0.108324 | + | 0.187623i | 0.915092 | − | 0.403246i | \(-0.132118\pi\) |
−0.806767 | + | 0.590869i | \(0.798785\pi\) | |||||||
\(888\) | −5843.29 | − | 10120.9i | −0.220820 | − | 0.382471i | ||||
\(889\) | 22645.8 | + | 39223.6i | 0.854347 | + | 1.47977i | ||||
\(890\) | −19095.0 | − | 33073.5i | −0.719174 | − | 1.24565i | ||||
\(891\) | 987.362 | − | 1710.16i | 0.0371244 | − | 0.0643014i | ||||
\(892\) | 25348.4 | − | 43904.8i | 0.951490 | − | 1.64803i | ||||
\(893\) | 32687.1 | 1.22489 | ||||||||
\(894\) | −9974.85 | − | 17276.9i | −0.373164 | − | 0.646339i | ||||
\(895\) | −14812.6 | −0.553217 | ||||||||
\(896\) | 60388.2 | 2.25159 | ||||||||
\(897\) | −339.559 | + | 588.133i | −0.0126394 | + | 0.0218921i | ||||
\(898\) | 3116.88 | 0.115826 | ||||||||
\(899\) | 608.560 | + | 1054.06i | 0.0225769 | + | 0.0391043i | ||||
\(900\) | −1121.99 | + | 1943.35i | −0.0415553 | + | 0.0719759i | ||||
\(901\) | −1354.75 | − | 2346.50i | −0.0500926 | − | 0.0867629i | ||||
\(902\) | 25639.3 | − | 44408.6i | 0.946448 | − | 1.63930i | ||||
\(903\) | −2759.87 | + | 4780.24i | −0.101708 | + | 0.176164i | ||||
\(904\) | −30258.3 | + | 52408.9i | −1.11325 | + | 1.92820i | ||||
\(905\) | 1151.59 | − | 1994.60i | 0.0422983 | − | 0.0732628i | ||||
\(906\) | 18808.1 | − | 32576.5i | 0.689687 | − | 1.19457i | ||||
\(907\) | −10469.4 | + | 18133.5i | −0.383275 | + | 0.663852i | −0.991528 | − | 0.129891i | \(-0.958537\pi\) |
0.608253 | + | 0.793743i | \(0.291871\pi\) | |||||||
\(908\) | −26272.6 | − | 45505.5i | −0.960228 | − | 1.66316i | ||||
\(909\) | 7364.23 | − | 12755.2i | 0.268709 | − | 0.465417i | ||||
\(910\) | 1592.65 | + | 2758.55i | 0.0580173 | + | 0.100489i | ||||
\(911\) | −8566.35 | −0.311543 | −0.155772 | − | 0.987793i | \(-0.549786\pi\) | ||||
−0.155772 | + | 0.987793i | \(0.549786\pi\) | |||||||
\(912\) | 7508.62 | − | 13005.3i | 0.272626 | − | 0.472203i | ||||
\(913\) | 26050.7 | 0.944307 | ||||||||
\(914\) | 43779.8 | 1.58436 | ||||||||
\(915\) | 768.667 | + | 1331.37i | 0.0277720 | + | 0.0481025i | ||||
\(916\) | 60517.0 | 2.18290 | ||||||||
\(917\) | 23727.3 | − | 41096.8i | 0.854464 | − | 1.47998i | ||||
\(918\) | 880.015 | − | 1524.23i | 0.0316393 | − | 0.0548008i | ||||
\(919\) | −24192.3 | − | 41902.3i | −0.868369 | − | 1.50406i | −0.863662 | − | 0.504071i | \(-0.831835\pi\) |
−0.00470687 | − | 0.999989i | \(-0.501498\pi\) | |||||||
\(920\) | 25290.9 | + | 43805.1i | 0.906322 | + | 1.56980i | ||||
\(921\) | 14777.6 | + | 25595.6i | 0.528707 | + | 0.915747i | ||||
\(922\) | −11695.4 | − | 20257.0i | −0.417752 | − | 0.723568i | ||||
\(923\) | 2218.63 | 0.0791193 | ||||||||
\(924\) | −29916.9 | −1.06514 | ||||||||
\(925\) | 724.559 | + | 1254.97i | 0.0257550 | + | 0.0446089i | ||||
\(926\) | −24762.7 | + | 42890.3i | −0.878784 | + | 1.52210i | ||||
\(927\) | 1832.03 | − | 3173.17i | 0.0649102 | − | 0.112428i | ||||
\(928\) | 244.109 | + | 422.809i | 0.00863498 | + | 0.0149562i | ||||
\(929\) | −43880.5 | −1.54970 | −0.774850 | − | 0.632145i | \(-0.782175\pi\) | ||||
−0.774850 | + | 0.632145i | \(0.782175\pi\) | |||||||
\(930\) | 11421.9 | 0.402731 | ||||||||
\(931\) | 9915.89 | − | 17174.8i | 0.349066 | − | 0.604599i | ||||
\(932\) | −34852.9 | − | 60367.0i | −1.22494 | − | 2.12166i | ||||
\(933\) | 10056.6 | 0.352881 | ||||||||
\(934\) | 20088.3 | − | 34793.9i | 0.703757 | − | 1.21894i | ||||
\(935\) | −3816.29 | −0.133482 | ||||||||
\(936\) | 402.084 | + | 696.430i | 0.0140412 | + | 0.0243200i | ||||
\(937\) | 50209.4 | 1.75056 | 0.875278 | − | 0.483621i | \(-0.160679\pi\) | ||||
0.875278 | + | 0.483621i | \(0.160679\pi\) | |||||||
\(938\) | −34695.6 | − | 58219.8i | −1.20773 | − | 2.02659i | ||||
\(939\) | 20137.5 | 0.699853 | ||||||||
\(940\) | 45387.1 | + | 78612.8i | 1.57486 | + | 2.72773i | ||||
\(941\) | −28729.9 | −0.995291 | −0.497646 | − | 0.867380i | \(-0.665802\pi\) | ||||
−0.497646 | + | 0.867380i | \(0.665802\pi\) | |||||||
\(942\) | 990.779 | − | 1716.08i | 0.0342689 | − | 0.0593555i | ||||
\(943\) | −44361.3 | −1.53192 | ||||||||
\(944\) | −26745.6 | − | 46324.8i | −0.922135 | − | 1.59718i | ||||
\(945\) | −4006.35 | + | 6939.20i | −0.137912 | + | 0.238870i | ||||
\(946\) | 8829.08 | 0.303444 | ||||||||
\(947\) | 2641.58 | 0.0906440 | 0.0453220 | − | 0.998972i | \(-0.485569\pi\) | ||||
0.0453220 | + | 0.998972i | \(0.485569\pi\) | |||||||
\(948\) | −9762.83 | − | 16909.7i | −0.334475 | − | 0.579327i | ||||
\(949\) | −1278.35 | + | 2214.17i | −0.0437271 | + | 0.0757375i | ||||
\(950\) | −2622.24 | + | 4541.85i | −0.0895544 | + | 0.155113i | ||||
\(951\) | 860.871 | + | 1491.07i | 0.0293540 | + | 0.0508426i | ||||
\(952\) | −13597.3 | −0.462912 | ||||||||
\(953\) | 30354.2 | 1.03176 | 0.515881 | − | 0.856660i | \(-0.327465\pi\) | ||||
0.515881 | + | 0.856660i | \(0.327465\pi\) | |||||||
\(954\) | 4549.82 | + | 7880.52i | 0.154409 | + | 0.267444i | ||||
\(955\) | 8996.86 | + | 15583.0i | 0.304850 | + | 0.528015i | ||||
\(956\) | 46495.7 | + | 80532.9i | 1.57299 | + | 2.72450i | ||||
\(957\) | 682.873 | + | 1182.77i | 0.0230660 | + | 0.0399514i | ||||
\(958\) | −9806.55 | + | 16985.4i | −0.330726 | + | 0.572834i | ||||
\(959\) | −11272.2 | + | 19524.1i | −0.379561 | + | 0.657420i | ||||
\(960\) | −15855.5 | −0.533058 | ||||||||
\(961\) | 12771.4 | + | 22120.6i | 0.428699 | + | 0.742528i | ||||
\(962\) | 1018.37 | 0.0341306 | ||||||||
\(963\) | −1878.20 | −0.0628496 | ||||||||
\(964\) | 39424.6 | − | 68285.3i | 1.31720 | − | 2.28145i | ||||
\(965\) | −43604.4 | −1.45459 | ||||||||
\(966\) | 19282.2 | + | 33397.7i | 0.642230 | + | 1.11237i | ||||
\(967\) | −24001.0 | + | 41571.0i | −0.798160 | + | 1.38245i | 0.122653 | + | 0.992450i | \(0.460860\pi\) |
−0.920813 | + | 0.390004i | \(0.872474\pi\) | |||||||
\(968\) | −15122.5 | − | 26193.0i | −0.502125 | − | 0.869705i | ||||
\(969\) | 1380.29 | − | 2390.73i | 0.0457599 | − | 0.0792584i | ||||
\(970\) | −22197.7 | + | 38447.5i | −0.734767 | + | 1.27265i | ||||
\(971\) | −3427.23 | + | 5936.14i | −0.113270 | + | 0.196189i | −0.917087 | − | 0.398687i | \(-0.869466\pi\) |
0.803817 | + | 0.594877i | \(0.202799\pi\) | |||||||
\(972\) | −1983.45 | + | 3435.44i | −0.0654520 | + | 0.113366i | ||||
\(973\) | −10462.7 | + | 18121.9i | −0.344727 | + | 0.597084i | ||||
\(974\) | −25140.0 | + | 43543.8i | −0.827041 | + | 1.43248i | ||||
\(975\) | −49.8579 | − | 86.3563i | −0.00163767 | − | 0.00283653i | ||||
\(976\) | 1555.43 | − | 2694.09i | 0.0510125 | − | 0.0883563i | ||||
\(977\) | −28848.7 | − | 49967.4i | −0.944680 | − | 1.63623i | −0.756391 | − | 0.654120i | \(-0.773039\pi\) |
−0.188289 | − | 0.982114i | \(-0.560294\pi\) | |||||||
\(978\) | −24476.8 | −0.800287 | ||||||||
\(979\) | −7969.47 | + | 13803.5i | −0.260169 | + | 0.450626i | ||||
\(980\) | 55074.2 | 1.79518 | ||||||||
\(981\) | −12605.1 | −0.410246 | ||||||||
\(982\) | 12028.4 | + | 20833.8i | 0.390878 | + | 0.677020i | ||||
\(983\) | 42444.3 | 1.37717 | 0.688587 | − | 0.725153i | \(-0.258231\pi\) | ||||
0.688587 | + | 0.725153i | \(0.258231\pi\) | |||||||
\(984\) | −26264.9 | + | 45492.2i | −0.850909 | + | 1.47382i | ||||
\(985\) | −31458.2 | + | 54487.2i | −1.01761 | + | 1.76254i | ||||
\(986\) | 608.630 | + | 1054.18i | 0.0196579 | + | 0.0340486i | ||||
\(987\) | 17646.1 | + | 30563.9i | 0.569079 | + | 0.985674i | ||||
\(988\) | 1236.72 | + | 2142.07i | 0.0398233 | + | 0.0689760i | ||||
\(989\) | −3819.03 | − | 6614.75i | −0.122789 | − | 0.212676i | ||||
\(990\) | 12816.7 | 0.411455 | ||||||||
\(991\) | −48278.3 | −1.54754 | −0.773769 | − | 0.633467i | \(-0.781631\pi\) | ||||
−0.773769 | + | 0.633467i | \(0.781631\pi\) | |||||||
\(992\) | −852.046 | − | 1475.79i | −0.0272706 | − | 0.0472342i | ||||
\(993\) | 9689.62 | − | 16782.9i | 0.309658 | − | 0.536344i | ||||
\(994\) | 62993.6 | − | 109108.i | 2.01009 | − | 3.48159i | ||||
\(995\) | −11963.3 | − | 20721.1i | −0.381168 | − | 0.660203i | ||||
\(996\) | −52331.7 | −1.66485 | ||||||||
\(997\) | 26719.8 | 0.848770 | 0.424385 | − | 0.905482i | \(-0.360490\pi\) | ||||
0.424385 | + | 0.905482i | \(0.360490\pi\) | |||||||
\(998\) | 28771.1 | − | 49833.0i | 0.912558 | − | 1.58060i | ||||
\(999\) | 1280.87 | + | 2218.54i | 0.0405656 | + | 0.0702616i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 201.4.e.a.37.15 | ✓ | 32 | |
67.29 | even | 3 | inner | 201.4.e.a.163.15 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
201.4.e.a.37.15 | ✓ | 32 | 1.1 | even | 1 | trivial | |
201.4.e.a.163.15 | yes | 32 | 67.29 | even | 3 | inner |