Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [23,4,Mod(2,23)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(23, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("23.2");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 23 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 23.c (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.35704393013\) |
Analytic rank: | \(0\) |
Dimension: | \(50\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 6.2 | ||
Character | \(\chi\) | \(=\) | 23.6 |
Dual form | 23.4.c.a.4.2 |
$q$-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 \(\left(\mathbb{Z}/23\mathbb{Z}\right)^\times\).
\(n\) | \(5\) |
\(\chi(n)\) | \(e\left(\frac{9}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.58245 | + | 3.46509i | −0.559482 | + | 1.22509i | 0.392730 | + | 0.919654i | \(0.371531\pi\) |
−0.952211 | + | 0.305440i | \(0.901196\pi\) | |||||||
\(3\) | −7.04544 | − | 2.06873i | −1.35590 | − | 0.398127i | −0.478582 | − | 0.878043i | \(-0.658849\pi\) |
−0.877314 | + | 0.479916i | \(0.840667\pi\) | |||||||
\(4\) | −4.26380 | − | 4.92069i | −0.532975 | − | 0.615086i | ||||
\(5\) | −4.88780 | + | 3.14120i | −0.437178 | + | 0.280957i | −0.740660 | − | 0.671880i | \(-0.765487\pi\) |
0.303482 | + | 0.952837i | \(0.401851\pi\) | |||||||
\(6\) | 18.3174 | − | 21.1394i | 1.24634 | − | 1.43836i | ||||
\(7\) | −2.25200 | + | 15.6630i | −0.121597 | + | 0.845724i | 0.834151 | + | 0.551536i | \(0.185958\pi\) |
−0.955748 | + | 0.294188i | \(0.904951\pi\) | |||||||
\(8\) | −5.44232 | + | 1.59801i | −0.240519 | + | 0.0706227i | ||||
\(9\) | 22.6448 | + | 14.5529i | 0.838695 | + | 0.538997i | ||||
\(10\) | −3.14982 | − | 21.9075i | −0.0996059 | − | 0.692775i | ||||
\(11\) | 27.3406 | + | 59.8675i | 0.749408 | + | 1.64098i | 0.767426 | + | 0.641138i | \(0.221537\pi\) |
−0.0180172 | + | 0.999838i | \(0.505735\pi\) | |||||||
\(12\) | 19.8608 | + | 43.4891i | 0.477776 | + | 1.04618i | ||||
\(13\) | −10.3660 | − | 72.0973i | −0.221155 | − | 1.53817i | −0.733679 | − | 0.679496i | \(-0.762199\pi\) |
0.512524 | − | 0.858673i | \(-0.328710\pi\) | |||||||
\(14\) | −50.7101 | − | 32.5894i | −0.968060 | − | 0.622135i | ||||
\(15\) | 40.9350 | − | 12.0196i | 0.704624 | − | 0.206896i | ||||
\(16\) | 10.4879 | − | 72.9448i | 0.163873 | − | 1.13976i | ||||
\(17\) | −25.6631 | + | 29.6168i | −0.366131 | + | 0.422537i | −0.908684 | − | 0.417484i | \(-0.862912\pi\) |
0.542554 | + | 0.840021i | \(0.317457\pi\) | |||||||
\(18\) | −86.2614 | + | 55.4369i | −1.12956 | + | 0.725922i | ||||
\(19\) | 25.7943 | + | 29.7682i | 0.311454 | + | 0.359437i | 0.889797 | − | 0.456357i | \(-0.150846\pi\) |
−0.578343 | + | 0.815794i | \(0.696300\pi\) | |||||||
\(20\) | 36.2974 | + | 10.6579i | 0.405818 | + | 0.119159i | ||||
\(21\) | 48.2689 | − | 105.694i | 0.501578 | − | 1.09830i | ||||
\(22\) | −250.711 | −2.42963 | ||||||||
\(23\) | −90.0070 | + | 63.7631i | −0.815990 | + | 0.578067i | ||||
\(24\) | 41.6494 | 0.354235 | ||||||||
\(25\) | −37.9034 | + | 82.9969i | −0.303227 | + | 0.663975i | ||||
\(26\) | 266.227 | + | 78.1714i | 2.00813 | + | 0.589641i | ||||
\(27\) | 0.394816 | + | 0.455642i | 0.00281416 | + | 0.00324771i | ||||
\(28\) | 86.6750 | − | 55.7026i | 0.585001 | − | 0.375957i | ||||
\(29\) | 76.4670 | − | 88.2477i | 0.489640 | − | 0.565075i | −0.456129 | − | 0.889914i | \(-0.650764\pi\) |
0.945770 | + | 0.324838i | \(0.105310\pi\) | |||||||
\(30\) | −23.1287 | + | 160.864i | −0.140757 | + | 0.978986i | ||||
\(31\) | −44.2678 | + | 12.9982i | −0.256475 | + | 0.0753079i | −0.407443 | − | 0.913231i | \(-0.633579\pi\) |
0.150967 | + | 0.988539i | \(0.451761\pi\) | |||||||
\(32\) | 197.990 | + | 127.241i | 1.09375 | + | 0.702912i | ||||
\(33\) | −68.7768 | − | 478.353i | −0.362803 | − | 2.52335i | ||||
\(34\) | −62.0142 | − | 135.792i | −0.312805 | − | 0.684946i | ||||
\(35\) | −38.1933 | − | 83.6317i | −0.184453 | − | 0.403895i | ||||
\(36\) | −24.9425 | − | 173.479i | −0.115474 | − | 0.803142i | ||||
\(37\) | 232.264 | + | 149.267i | 1.03200 | + | 0.663224i | 0.942995 | − | 0.332807i | \(-0.107996\pi\) |
0.0890023 | + | 0.996031i | \(0.471632\pi\) | |||||||
\(38\) | −143.968 | + | 42.2728i | −0.614597 | + | 0.180462i | ||||
\(39\) | −76.1165 | + | 529.402i | −0.312523 | + | 2.17364i | ||||
\(40\) | 21.5813 | − | 24.9062i | 0.0853076 | − | 0.0984502i | ||||
\(41\) | −221.026 | + | 142.045i | −0.841913 | + | 0.541065i | −0.889043 | − | 0.457824i | \(-0.848629\pi\) |
0.0471298 | + | 0.998889i | \(0.484993\pi\) | |||||||
\(42\) | 289.856 | + | 334.512i | 1.06490 | + | 1.22896i | ||||
\(43\) | −158.552 | − | 46.5550i | −0.562301 | − | 0.165106i | −0.0117842 | − | 0.999931i | \(-0.503751\pi\) |
−0.550517 | + | 0.834824i | \(0.685569\pi\) | |||||||
\(44\) | 178.015 | − | 389.798i | 0.609925 | − | 1.33555i | ||||
\(45\) | −156.397 | −0.518094 | ||||||||
\(46\) | −78.5130 | − | 412.785i | −0.251655 | − | 1.32308i | ||||
\(47\) | 168.338 | 0.522438 | 0.261219 | − | 0.965280i | \(-0.415876\pi\) | ||||
0.261219 | + | 0.965280i | \(0.415876\pi\) | |||||||
\(48\) | −224.795 | + | 492.231i | −0.675965 | + | 1.48016i | ||||
\(49\) | 88.8472 | + | 26.0879i | 0.259030 | + | 0.0760580i | ||||
\(50\) | −227.611 | − | 262.678i | −0.643782 | − | 0.742964i | ||||
\(51\) | 242.077 | − | 155.574i | 0.664658 | − | 0.427150i | ||||
\(52\) | −310.570 | + | 358.416i | −0.828236 | + | 0.955835i | ||||
\(53\) | 5.17112 | − | 35.9660i | 0.0134020 | − | 0.0932133i | −0.982023 | − | 0.188764i | \(-0.939552\pi\) |
0.995425 | + | 0.0955504i | \(0.0304611\pi\) | |||||||
\(54\) | −2.20362 | + | 0.647040i | −0.00555323 | + | 0.00163057i | ||||
\(55\) | −321.691 | − | 206.738i | −0.788669 | − | 0.506847i | ||||
\(56\) | −12.7735 | − | 88.8420i | −0.0304810 | − | 0.212000i | ||||
\(57\) | −120.150 | − | 263.092i | −0.279198 | − | 0.611357i | ||||
\(58\) | 184.781 | + | 404.613i | 0.418325 | + | 0.916005i | ||||
\(59\) | −74.9818 | − | 521.510i | −0.165454 | − | 1.15076i | −0.888137 | − | 0.459579i | \(-0.848000\pi\) |
0.722683 | − | 0.691180i | \(-0.242909\pi\) | |||||||
\(60\) | −233.683 | − | 150.179i | −0.502806 | − | 0.323134i | ||||
\(61\) | 177.963 | − | 52.2546i | 0.373538 | − | 0.109681i | −0.0895748 | − | 0.995980i | \(-0.528551\pi\) |
0.463112 | + | 0.886300i | \(0.346733\pi\) | |||||||
\(62\) | 25.0118 | − | 173.961i | 0.0512339 | − | 0.356340i | ||||
\(63\) | −278.939 | + | 321.913i | −0.557825 | + | 0.643764i | ||||
\(64\) | −258.242 | + | 165.962i | −0.504379 | + | 0.324145i | ||||
\(65\) | 277.139 | + | 319.835i | 0.528844 | + | 0.610318i | ||||
\(66\) | 1766.37 | + | 518.654i | 3.29433 | + | 0.967301i | ||||
\(67\) | −5.44540 | + | 11.9238i | −0.00992927 | + | 0.0217421i | −0.914532 | − | 0.404514i | \(-0.867441\pi\) |
0.904602 | + | 0.426256i | \(0.140168\pi\) | |||||||
\(68\) | 255.158 | 0.455035 | ||||||||
\(69\) | 766.048 | − | 263.039i | 1.33654 | − | 0.458931i | ||||
\(70\) | 350.230 | 0.598008 | ||||||||
\(71\) | −40.5266 | + | 88.7409i | −0.0677412 | + | 0.148332i | −0.940474 | − | 0.339866i | \(-0.889618\pi\) |
0.872733 | + | 0.488198i | \(0.162346\pi\) | |||||||
\(72\) | −146.496 | − | 43.0151i | −0.239787 | − | 0.0704080i | ||||
\(73\) | 283.285 | + | 326.928i | 0.454191 | + | 0.524164i | 0.935947 | − | 0.352141i | \(-0.114546\pi\) |
−0.481756 | + | 0.876305i | \(0.660001\pi\) | |||||||
\(74\) | −884.769 | + | 568.606i | −1.38990 | + | 0.893232i | ||||
\(75\) | 438.744 | − | 506.338i | 0.675491 | − | 0.779559i | ||||
\(76\) | 36.4984 | − | 253.852i | 0.0550875 | − | 0.383142i | ||||
\(77\) | −999.277 | + | 293.414i | −1.47894 | + | 0.434255i | ||||
\(78\) | −1713.97 | − | 1101.50i | −2.48807 | − | 1.59898i | ||||
\(79\) | 148.606 | + | 1033.58i | 0.211639 | + | 1.47198i | 0.767684 | + | 0.640829i | \(0.221409\pi\) |
−0.556045 | + | 0.831152i | \(0.687682\pi\) | |||||||
\(80\) | 177.871 | + | 389.484i | 0.248583 | + | 0.544320i | ||||
\(81\) | −303.756 | − | 665.132i | −0.416674 | − | 0.912390i | ||||
\(82\) | −142.434 | − | 990.653i | −0.191820 | − | 1.33414i | ||||
\(83\) | 865.943 | + | 556.508i | 1.14518 | + | 0.735960i | 0.968673 | − | 0.248340i | \(-0.0798852\pi\) |
0.176503 | + | 0.984300i | \(0.443522\pi\) | |||||||
\(84\) | −725.897 | + | 213.143i | −0.942879 | + | 0.276854i | ||||
\(85\) | 32.4039 | − | 225.374i | 0.0413493 | − | 0.287591i | ||||
\(86\) | 412.218 | − | 475.725i | 0.516868 | − | 0.596497i | ||||
\(87\) | −721.304 | + | 463.554i | −0.888873 | + | 0.571244i | ||||
\(88\) | −244.465 | − | 282.128i | −0.296137 | − | 0.341760i | ||||
\(89\) | −896.158 | − | 263.136i | −1.06733 | − | 0.313397i | −0.299532 | − | 0.954086i | \(-0.596831\pi\) |
−0.767800 | + | 0.640689i | \(0.778649\pi\) | |||||||
\(90\) | 247.490 | − | 541.928i | 0.289864 | − | 0.634714i | ||||
\(91\) | 1152.61 | 1.32776 | ||||||||
\(92\) | 697.530 | + | 171.023i | 0.790463 | + | 0.193809i | ||||
\(93\) | 338.776 | 0.377736 | ||||||||
\(94\) | −266.386 | + | 583.305i | −0.292294 | + | 0.640035i | ||||
\(95\) | −219.585 | − | 64.4761i | −0.237147 | − | 0.0696327i | ||||
\(96\) | −1131.70 | − | 1306.05i | −1.20317 | − | 1.38853i | ||||
\(97\) | 438.570 | − | 281.852i | 0.459072 | − | 0.295028i | −0.290591 | − | 0.956847i | \(-0.593852\pi\) |
0.749663 | + | 0.661820i | \(0.230216\pi\) | |||||||
\(98\) | −230.993 | + | 266.581i | −0.238101 | + | 0.274783i | ||||
\(99\) | −252.125 | + | 1753.57i | −0.255955 | + | 1.78021i | ||||
\(100\) | 570.015 | − | 167.371i | 0.570015 | − | 0.167371i | ||||
\(101\) | 383.922 | + | 246.731i | 0.378234 | + | 0.243076i | 0.715920 | − | 0.698183i | \(-0.246008\pi\) |
−0.337686 | + | 0.941259i | \(0.609644\pi\) | |||||||
\(102\) | 156.000 | + | 1085.01i | 0.151435 | + | 1.05325i | ||||
\(103\) | 223.702 | + | 489.839i | 0.214000 | + | 0.468595i | 0.985940 | − | 0.167101i | \(-0.0534405\pi\) |
−0.771940 | + | 0.635696i | \(0.780713\pi\) | |||||||
\(104\) | 171.627 | + | 375.812i | 0.161822 | + | 0.354340i | ||||
\(105\) | 96.0775 | + | 668.234i | 0.0892972 | + | 0.621076i | ||||
\(106\) | 116.442 | + | 74.8328i | 0.106697 | + | 0.0685699i | ||||
\(107\) | −1764.99 | + | 518.249i | −1.59466 | + | 0.468234i | −0.954053 | − | 0.299637i | \(-0.903134\pi\) |
−0.640605 | + | 0.767871i | \(0.721316\pi\) | |||||||
\(108\) | 0.558655 | − | 3.88553i | 0.000497746 | − | 0.00346190i | ||||
\(109\) | 598.223 | − | 690.386i | 0.525682 | − | 0.606670i | −0.429362 | − | 0.903132i | \(-0.641262\pi\) |
0.955044 | + | 0.296463i | \(0.0958070\pi\) | |||||||
\(110\) | 1225.43 | − | 787.534i | 1.06218 | − | 0.682622i | ||||
\(111\) | −1327.61 | − | 1532.14i | −1.13523 | − | 1.31013i | ||||
\(112\) | 1118.92 | + | 328.544i | 0.943997 | + | 0.277183i | ||||
\(113\) | 298.762 | − | 654.198i | 0.248718 | − | 0.544617i | −0.743557 | − | 0.668673i | \(-0.766863\pi\) |
0.992275 | + | 0.124055i | \(0.0395900\pi\) | |||||||
\(114\) | 1101.77 | 0.905176 | ||||||||
\(115\) | 239.644 | − | 594.391i | 0.194321 | − | 0.481976i | ||||
\(116\) | −760.279 | −0.608536 | ||||||||
\(117\) | 814.489 | − | 1783.48i | 0.643586 | − | 1.40926i | ||||
\(118\) | 1925.73 | + | 565.446i | 1.50236 | + | 0.441132i | ||||
\(119\) | −406.096 | − | 468.659i | −0.312830 | − | 0.361025i | ||||
\(120\) | −203.574 | + | 130.829i | −0.154864 | + | 0.0995250i | ||||
\(121\) | −1964.99 | + | 2267.72i | −1.47633 | + | 1.70377i | ||||
\(122\) | −100.551 | + | 699.347i | −0.0746185 | + | 0.518983i | ||||
\(123\) | 1851.08 | − | 543.525i | 1.35696 | − | 0.398439i | ||||
\(124\) | 252.709 | + | 162.406i | 0.183016 | + | 0.117617i | ||||
\(125\) | −178.804 | − | 1243.61i | −0.127942 | − | 0.889854i | ||||
\(126\) | −674.048 | − | 1475.96i | −0.476579 | − | 1.04356i | ||||
\(127\) | −342.832 | − | 750.697i | −0.239539 | − | 0.524516i | 0.751236 | − | 0.660033i | \(-0.229458\pi\) |
−0.990775 | + | 0.135517i | \(0.956731\pi\) | |||||||
\(128\) | 101.535 | + | 706.189i | 0.0701131 | + | 0.487647i | ||||
\(129\) | 1020.76 | + | 656.002i | 0.696688 | + | 0.447734i | ||||
\(130\) | −1546.82 | + | 454.186i | −1.04358 | + | 0.306421i | ||||
\(131\) | 127.067 | − | 883.767i | 0.0847470 | − | 0.589428i | −0.902555 | − | 0.430574i | \(-0.858311\pi\) |
0.987302 | − | 0.158854i | \(-0.0507799\pi\) | |||||||
\(132\) | −2060.58 | + | 2378.03i | −1.35871 | + | 1.56804i | ||||
\(133\) | −524.350 | + | 336.979i | −0.341856 | + | 0.219698i | ||||
\(134\) | −32.6998 | − | 37.7376i | −0.0210808 | − | 0.0243286i | ||||
\(135\) | −3.36104 | − | 0.986890i | −0.00214276 | − | 0.000629170i | ||||
\(136\) | 92.3390 | − | 202.194i | 0.0582206 | − | 0.127485i | ||||
\(137\) | −590.382 | −0.368173 | −0.184087 | − | 0.982910i | \(-0.558933\pi\) | ||||
−0.184087 | + | 0.982910i | \(0.558933\pi\) | |||||||
\(138\) | −300.780 | + | 3070.67i | −0.185537 | + | 1.89415i | ||||
\(139\) | −2361.55 | −1.44104 | −0.720519 | − | 0.693435i | \(-0.756096\pi\) | ||||
−0.720519 | + | 0.693435i | \(0.756096\pi\) | |||||||
\(140\) | −248.677 | + | 544.526i | −0.150122 | + | 0.328721i | ||||
\(141\) | −1186.01 | − | 348.245i | −0.708371 | − | 0.207997i | ||||
\(142\) | −243.364 | − | 280.857i | −0.143821 | − | 0.165979i | ||||
\(143\) | 4032.87 | − | 2591.77i | 2.35836 | − | 1.51563i | ||||
\(144\) | 1299.05 | − | 1499.19i | 0.751767 | − | 0.867586i | ||||
\(145\) | −96.5521 | + | 671.535i | −0.0552980 | + | 0.384606i | ||||
\(146\) | −1581.12 | + | 464.258i | −0.896262 | + | 0.263166i | ||||
\(147\) | −571.999 | − | 367.601i | −0.320937 | − | 0.206253i | ||||
\(148\) | −255.831 | − | 1779.34i | −0.142089 | − | 0.988249i | ||||
\(149\) | 616.232 | + | 1349.36i | 0.338817 | + | 0.741905i | 0.999965 | − | 0.00835015i | \(-0.00265797\pi\) |
−0.661149 | + | 0.750255i | \(0.729931\pi\) | |||||||
\(150\) | 1060.21 | + | 2321.55i | 0.577108 | + | 1.26369i | ||||
\(151\) | 371.466 | + | 2583.60i | 0.200195 | + | 1.39239i | 0.803703 | + | 0.595030i | \(0.202860\pi\) |
−0.603508 | + | 0.797357i | \(0.706231\pi\) | |||||||
\(152\) | −187.951 | − | 120.789i | −0.100295 | − | 0.0644557i | ||||
\(153\) | −1012.15 | + | 297.193i | −0.534818 | + | 0.157037i | ||||
\(154\) | 564.603 | − | 3926.90i | 0.295435 | − | 2.05480i | ||||
\(155\) | 175.542 | − | 202.586i | 0.0909670 | − | 0.104982i | ||||
\(156\) | 2929.57 | − | 1882.72i | 1.50355 | − | 0.966270i | ||||
\(157\) | 328.804 | + | 379.460i | 0.167143 | + | 0.192893i | 0.833142 | − | 0.553060i | \(-0.186540\pi\) |
−0.665999 | + | 0.745953i | \(0.731994\pi\) | |||||||
\(158\) | −3816.60 | − | 1120.65i | −1.92172 | − | 0.564269i | ||||
\(159\) | −110.837 | + | 242.698i | −0.0552825 | + | 0.121052i | ||||
\(160\) | −1367.42 | −0.675652 | ||||||||
\(161\) | −796.027 | − | 1553.38i | −0.389663 | − | 0.760393i | ||||
\(162\) | 2785.42 | 1.35089 | ||||||||
\(163\) | 1028.03 | − | 2251.06i | 0.493995 | − | 1.08170i | −0.484380 | − | 0.874858i | \(-0.660955\pi\) |
0.978375 | − | 0.206840i | \(-0.0663180\pi\) | |||||||
\(164\) | 1641.37 | + | 481.949i | 0.781520 | + | 0.229475i | ||||
\(165\) | 1838.77 | + | 2122.05i | 0.867563 | + | 1.00122i | ||||
\(166\) | −3298.66 | + | 2119.92i | −1.54232 | + | 0.991192i | ||||
\(167\) | 1899.71 | − | 2192.38i | 0.880263 | − | 1.01588i | −0.119472 | − | 0.992838i | \(-0.538120\pi\) |
0.999735 | − | 0.0230399i | \(-0.00733447\pi\) | |||||||
\(168\) | −93.7946 | + | 652.356i | −0.0430739 | + | 0.299585i | ||||
\(169\) | −2982.56 | + | 875.758i | −1.35756 | + | 0.398616i | ||||
\(170\) | 729.663 | + | 468.926i | 0.329192 | + | 0.211559i | ||||
\(171\) | 150.892 | + | 1049.48i | 0.0674796 | + | 0.469331i | ||||
\(172\) | 446.951 | + | 978.686i | 0.198138 | + | 0.433861i | ||||
\(173\) | 1097.19 | + | 2402.51i | 0.482184 | + | 1.05584i | 0.981857 | + | 0.189622i | \(0.0607262\pi\) |
−0.499673 | + | 0.866214i | \(0.666547\pi\) | |||||||
\(174\) | −464.826 | − | 3232.94i | −0.202519 | − | 1.40855i | ||||
\(175\) | −1214.62 | − | 780.592i | −0.524668 | − | 0.337184i | ||||
\(176\) | 4653.76 | − | 1366.47i | 1.99313 | − | 0.585235i | ||||
\(177\) | −550.582 | + | 3829.38i | −0.233810 | + | 1.62618i | ||||
\(178\) | 2329.92 | − | 2688.87i | 0.981094 | − | 1.13224i | ||||
\(179\) | 17.2470 | − | 11.0840i | 0.00720170 | − | 0.00462825i | −0.537035 | − | 0.843560i | \(-0.680456\pi\) |
0.544237 | + | 0.838932i | \(0.316819\pi\) | |||||||
\(180\) | 666.844 | + | 769.579i | 0.276131 | + | 0.318672i | ||||
\(181\) | 1649.88 | + | 484.448i | 0.677539 | + | 0.198943i | 0.602358 | − | 0.798226i | \(-0.294228\pi\) |
0.0751817 | + | 0.997170i | \(0.476046\pi\) | |||||||
\(182\) | −1823.95 | + | 3993.88i | −0.742856 | + | 1.62663i | ||||
\(183\) | −1361.93 | −0.550145 | ||||||||
\(184\) | 387.953 | − | 490.851i | 0.155436 | − | 0.196663i | ||||
\(185\) | −1604.13 | −0.637504 | ||||||||
\(186\) | −536.097 | + | 1173.89i | −0.211336 | + | 0.462762i | ||||
\(187\) | −2474.73 | − | 726.646i | −0.967755 | − | 0.284158i | ||||
\(188\) | −717.758 | − | 828.337i | −0.278446 | − | 0.321344i | ||||
\(189\) | −8.02585 | + | 5.15790i | −0.00308886 | + | 0.00198509i | ||||
\(190\) | 570.899 | − | 658.853i | 0.217986 | − | 0.251569i | ||||
\(191\) | 4.68979 | − | 32.6182i | 0.00177666 | − | 0.0123569i | −0.988914 | − | 0.148491i | \(-0.952559\pi\) |
0.990690 | + | 0.136134i | \(0.0434676\pi\) | |||||||
\(192\) | 2162.76 | − | 635.043i | 0.812936 | − | 0.238700i | ||||
\(193\) | 3315.01 | + | 2130.43i | 1.23637 | + | 0.794568i | 0.984871 | − | 0.173288i | \(-0.0554393\pi\) |
0.251502 | + | 0.967857i | \(0.419076\pi\) | |||||||
\(194\) | 282.625 | + | 1965.70i | 0.104594 | + | 0.727469i | ||||
\(195\) | −1290.91 | − | 2826.71i | −0.474073 | − | 1.03807i | ||||
\(196\) | −250.456 | − | 548.423i | −0.0912741 | − | 0.199863i | ||||
\(197\) | −127.436 | − | 886.339i | −0.0460886 | − | 0.320554i | −0.999803 | − | 0.0198401i | \(-0.993684\pi\) |
0.953715 | − | 0.300713i | \(-0.0972248\pi\) | |||||||
\(198\) | −5677.30 | − | 3648.58i | −2.03772 | − | 1.30956i | ||||
\(199\) | 2654.26 | − | 779.360i | 0.945504 | − | 0.277625i | 0.227590 | − | 0.973757i | \(-0.426915\pi\) |
0.717914 | + | 0.696132i | \(0.245097\pi\) | |||||||
\(200\) | 73.6527 | − | 512.266i | 0.0260402 | − | 0.181113i | ||||
\(201\) | 63.0322 | − | 72.7431i | 0.0221192 | − | 0.0255269i | ||||
\(202\) | −1462.48 | + | 939.882i | −0.509406 | + | 0.327376i | ||||
\(203\) | 1210.02 | + | 1396.44i | 0.418359 | + | 0.482812i | ||||
\(204\) | −1797.70 | − | 527.852i | −0.616980 | − | 0.181162i | ||||
\(205\) | 634.139 | − | 1388.57i | 0.216050 | − | 0.473083i | ||||
\(206\) | −2051.34 | −0.693802 | ||||||||
\(207\) | −2966.13 | + | 134.037i | −0.995943 | + | 0.0450059i | ||||
\(208\) | −5367.84 | −1.78939 | ||||||||
\(209\) | −1076.92 | + | 2358.12i | −0.356421 | + | 0.780453i | ||||
\(210\) | −2467.53 | − | 724.532i | −0.810836 | − | 0.238083i | ||||
\(211\) | 517.325 | + | 597.025i | 0.168787 | + | 0.194791i | 0.833841 | − | 0.552004i | \(-0.186137\pi\) |
−0.665054 | + | 0.746795i | \(0.731591\pi\) | |||||||
\(212\) | −199.026 | + | 127.906i | −0.0644771 | + | 0.0414369i | ||||
\(213\) | 469.109 | − | 541.380i | 0.150905 | − | 0.174154i | ||||
\(214\) | 997.241 | − | 6935.97i | 0.318551 | − | 2.21557i | ||||
\(215\) | 921.208 | − | 270.491i | 0.292213 | − | 0.0858016i | ||||
\(216\) | −2.87683 | − | 1.84883i | −0.000906221 | − | 0.000582393i | ||||
\(217\) | −103.900 | − | 722.640i | −0.0325032 | − | 0.226064i | ||||
\(218\) | 1445.59 | + | 3165.40i | 0.449118 | + | 0.983431i | ||||
\(219\) | −1319.54 | − | 2889.39i | −0.407152 | − | 0.891538i | ||||
\(220\) | 354.332 | + | 2464.43i | 0.108587 | + | 0.755236i | ||||
\(221\) | 2401.32 | + | 1543.23i | 0.730905 | + | 0.469724i | ||||
\(222\) | 7409.88 | − | 2175.74i | 2.24017 | − | 0.657774i | ||||
\(223\) | −424.565 | + | 2952.92i | −0.127493 | + | 0.886735i | 0.821223 | + | 0.570607i | \(0.193292\pi\) |
−0.948717 | + | 0.316128i | \(0.897617\pi\) | |||||||
\(224\) | −2438.85 | + | 2814.58i | −0.727466 | + | 0.839541i | ||||
\(225\) | −2066.16 | + | 1327.84i | −0.612196 | + | 0.393434i | ||||
\(226\) | 1794.08 | + | 2070.48i | 0.528054 | + | 0.609407i | ||||
\(227\) | −922.955 | − | 271.004i | −0.269862 | − | 0.0792387i | 0.144002 | − | 0.989577i | \(-0.454003\pi\) |
−0.413864 | + | 0.910339i | \(0.635821\pi\) | |||||||
\(228\) | −782.297 | + | 1712.99i | −0.227232 | + | 0.497569i | ||||
\(229\) | 1940.48 | 0.559957 | 0.279979 | − | 0.960006i | \(-0.409673\pi\) | ||||
0.279979 | + | 0.960006i | \(0.409673\pi\) | |||||||
\(230\) | 1680.39 | + | 1770.98i | 0.481747 | + | 0.507718i | ||||
\(231\) | 7647.35 | 2.17818 | ||||||||
\(232\) | −275.138 | + | 602.467i | −0.0778606 | + | 0.170491i | ||||
\(233\) | 3374.36 | + | 990.801i | 0.948762 | + | 0.278582i | 0.719271 | − | 0.694729i | \(-0.244476\pi\) |
0.229491 | + | 0.973311i | \(0.426294\pi\) | |||||||
\(234\) | 4891.04 | + | 5644.56i | 1.36640 | + | 1.57691i | ||||
\(235\) | −822.800 | + | 528.782i | −0.228398 | + | 0.146783i | ||||
\(236\) | −2246.48 | + | 2592.58i | −0.619633 | + | 0.715094i | ||||
\(237\) | 1091.20 | − | 7589.43i | 0.299075 | − | 2.08011i | ||||
\(238\) | 2266.57 | − | 665.526i | 0.617312 | − | 0.181259i | ||||
\(239\) | 294.792 | + | 189.451i | 0.0797846 | + | 0.0512745i | 0.579925 | − | 0.814670i | \(-0.303082\pi\) |
−0.500140 | + | 0.865944i | \(0.666718\pi\) | |||||||
\(240\) | −447.446 | − | 3112.05i | −0.120344 | − | 0.837009i | ||||
\(241\) | −1669.94 | − | 3656.66i | −0.446350 | − | 0.977371i | −0.990389 | − | 0.138311i | \(-0.955833\pi\) |
0.544039 | − | 0.839060i | \(-0.316895\pi\) | |||||||
\(242\) | −4748.35 | − | 10397.4i | −1.26130 | − | 2.76187i | ||||
\(243\) | 761.799 | + | 5298.43i | 0.201109 | + | 1.39874i | ||||
\(244\) | −1015.93 | − | 652.896i | −0.266549 | − | 0.171301i | ||||
\(245\) | −516.214 | + | 151.574i | −0.134611 | + | 0.0395254i | ||||
\(246\) | −1045.88 | + | 7274.25i | −0.271068 | + | 1.88532i | ||||
\(247\) | 1878.82 | − | 2168.28i | 0.483995 | − | 0.558560i | ||||
\(248\) | 220.148 | − | 141.481i | 0.0563687 | − | 0.0362260i | ||||
\(249\) | −4949.69 | − | 5712.24i | −1.25973 | − | 1.45381i | ||||
\(250\) | 4592.17 | + | 1348.38i | 1.16174 | + | 0.341117i | ||||
\(251\) | −1910.93 | + | 4184.34i | −0.480544 | + | 1.05225i | 0.501769 | + | 0.865001i | \(0.332683\pi\) |
−0.982314 | + | 0.187244i | \(0.940045\pi\) | |||||||
\(252\) | 2773.37 | 0.693277 | ||||||||
\(253\) | −6278.18 | − | 3645.18i | −1.56010 | − | 0.905811i | ||||
\(254\) | 3143.75 | 0.776599 | ||||||||
\(255\) | −694.537 | + | 1520.82i | −0.170563 | + | 0.373481i | ||||
\(256\) | −4963.99 | − | 1457.56i | −1.21191 | − | 0.355849i | ||||
\(257\) | 418.354 | + | 482.806i | 0.101542 | + | 0.117185i | 0.804246 | − | 0.594297i | \(-0.202570\pi\) |
−0.702704 | + | 0.711482i | \(0.748024\pi\) | |||||||
\(258\) | −3888.41 | + | 2498.93i | −0.938301 | + | 0.603009i | ||||
\(259\) | −2861.03 | + | 3301.80i | −0.686392 | + | 0.792139i | ||||
\(260\) | 392.145 | − | 2727.43i | 0.0935377 | − | 0.650569i | ||||
\(261\) | 3015.84 | − | 885.530i | 0.715233 | − | 0.210011i | ||||
\(262\) | 2861.26 | + | 1838.82i | 0.674691 | + | 0.433597i | ||||
\(263\) | −983.730 | − | 6841.99i | −0.230644 | − | 1.60416i | −0.695331 | − | 0.718689i | \(-0.744742\pi\) |
0.464687 | − | 0.885475i | \(-0.346167\pi\) | |||||||
\(264\) | 1138.72 | + | 2493.45i | 0.265467 | + | 0.581292i | ||||
\(265\) | 87.7007 | + | 192.038i | 0.0203299 | + | 0.0445162i | ||||
\(266\) | −337.904 | − | 2350.17i | −0.0778880 | − | 0.541723i | ||||
\(267\) | 5769.47 | + | 3707.82i | 1.32242 | + | 0.849867i | ||||
\(268\) | 81.8912 | − | 24.0454i | 0.0186653 | − | 0.00548062i | ||||
\(269\) | −115.118 | + | 800.660i | −0.0260923 | + | 0.181476i | −0.998700 | − | 0.0509775i | \(-0.983766\pi\) |
0.972607 | + | 0.232454i | \(0.0746754\pi\) | |||||||
\(270\) | 8.73835 | − | 10.0846i | 0.00196963 | − | 0.00227307i | ||||
\(271\) | −3242.02 | + | 2083.52i | −0.726712 | + | 0.467029i | −0.850966 | − | 0.525221i | \(-0.823983\pi\) |
0.124254 | + | 0.992250i | \(0.460346\pi\) | |||||||
\(272\) | 1891.24 | + | 2182.61i | 0.421593 | + | 0.486544i | ||||
\(273\) | −8120.62 | − | 2384.43i | −1.80030 | − | 0.528616i | ||||
\(274\) | 934.252 | − | 2045.73i | 0.205986 | − | 0.451047i | ||||
\(275\) | −6005.12 | −1.31681 | ||||||||
\(276\) | −4560.61 | − | 2647.94i | −0.994625 | − | 0.577489i | ||||
\(277\) | 5361.75 | 1.16302 | 0.581510 | − | 0.813539i | \(-0.302462\pi\) | ||||
0.581510 | + | 0.813539i | \(0.302462\pi\) | |||||||
\(278\) | 3737.05 | − | 8182.99i | 0.806234 | − | 1.76541i | ||||
\(279\) | −1191.60 | − | 349.884i | −0.255695 | − | 0.0750789i | ||||
\(280\) | 341.505 | + | 394.117i | 0.0728886 | + | 0.0841179i | ||||
\(281\) | −1917.99 | + | 1232.62i | −0.407180 | + | 0.261679i | −0.728160 | − | 0.685407i | \(-0.759624\pi\) |
0.320980 | + | 0.947086i | \(0.395988\pi\) | |||||||
\(282\) | 3083.51 | − | 3558.56i | 0.651136 | − | 0.751451i | ||||
\(283\) | −268.625 | + | 1868.33i | −0.0564243 | + | 0.392440i | 0.941965 | + | 0.335710i | \(0.108976\pi\) |
−0.998390 | + | 0.0567294i | \(0.981933\pi\) | |||||||
\(284\) | 609.464 | − | 178.955i | 0.127342 | − | 0.0373909i | ||||
\(285\) | 1413.69 | + | 908.525i | 0.293824 | + | 0.188829i | ||||
\(286\) | 2598.88 | + | 18075.6i | 0.537325 | + | 3.73718i | ||||
\(287\) | −1727.10 | − | 3781.82i | −0.355217 | − | 0.777818i | ||||
\(288\) | 2631.72 | + | 5762.67i | 0.538458 | + | 1.17906i | ||||
\(289\) | 480.633 | + | 3342.87i | 0.0978287 | + | 0.680414i | ||||
\(290\) | −2174.14 | − | 1397.23i | −0.440241 | − | 0.282926i | ||||
\(291\) | −3672.99 | + | 1078.49i | −0.739913 | + | 0.217258i | ||||
\(292\) | 400.841 | − | 2787.91i | 0.0803337 | − | 0.558733i | ||||
\(293\) | −612.586 | + | 706.962i | −0.122142 | + | 0.140960i | −0.813527 | − | 0.581527i | \(-0.802455\pi\) |
0.691385 | + | 0.722487i | \(0.257001\pi\) | |||||||
\(294\) | 2178.93 | − | 1400.32i | 0.432238 | − | 0.277782i | ||||
\(295\) | 2004.66 | + | 2313.50i | 0.395647 | + | 0.456601i | ||||
\(296\) | −1502.58 | − | 441.198i | −0.295054 | − | 0.0866355i | ||||
\(297\) | −16.4836 | + | 36.0941i | −0.00322046 | + | 0.00705183i | ||||
\(298\) | −5650.81 | −1.09847 | ||||||||
\(299\) | 5530.16 | + | 5828.29i | 1.06962 | + | 1.12729i | ||||
\(300\) | −4362.25 | −0.839516 | ||||||||
\(301\) | 1086.25 | − | 2378.56i | 0.208008 | − | 0.455475i | ||||
\(302\) | −9540.23 | − | 2801.27i | −1.81781 | − | 0.533757i | ||||
\(303\) | −2194.48 | − | 2532.56i | −0.416071 | − | 0.480171i | ||||
\(304\) | 2441.96 | − | 1569.36i | 0.460711 | − | 0.296081i | ||||
\(305\) | −705.704 | + | 814.426i | −0.132487 | + | 0.152898i | ||||
\(306\) | 571.874 | − | 3977.47i | 0.106836 | − | 0.743062i | ||||
\(307\) | 4984.09 | − | 1463.46i | 0.926569 | − | 0.272065i | 0.216569 | − | 0.976267i | \(-0.430513\pi\) |
0.710000 | + | 0.704202i | \(0.248695\pi\) | |||||||
\(308\) | 5704.52 | + | 3666.07i | 1.05534 | + | 0.678227i | ||||
\(309\) | −562.736 | − | 3913.91i | −0.103602 | − | 0.720566i | ||||
\(310\) | 424.193 | + | 928.853i | 0.0777179 | + | 0.170178i | ||||
\(311\) | −2200.50 | − | 4818.43i | −0.401219 | − | 0.878547i | −0.997145 | − | 0.0755080i | \(-0.975942\pi\) |
0.595926 | − | 0.803039i | \(-0.296785\pi\) | |||||||
\(312\) | −431.739 | − | 3002.81i | −0.0783410 | − | 0.544874i | ||||
\(313\) | −4955.13 | − | 3184.47i | −0.894825 | − | 0.575069i | 0.0104260 | − | 0.999946i | \(-0.496681\pi\) |
−0.905251 | + | 0.424876i | \(0.860318\pi\) | |||||||
\(314\) | −1835.18 | + | 538.858i | −0.329826 | + | 0.0968455i | ||||
\(315\) | 352.206 | − | 2449.64i | 0.0629986 | − | 0.438165i | ||||
\(316\) | 4452.28 | − | 5138.21i | 0.792597 | − | 0.914705i | ||||
\(317\) | 4147.37 | − | 2665.35i | 0.734825 | − | 0.472243i | −0.118940 | − | 0.992901i | \(-0.537950\pi\) |
0.853765 | + | 0.520658i | \(0.174313\pi\) | |||||||
\(318\) | −665.578 | − | 768.118i | −0.117370 | − | 0.135453i | ||||
\(319\) | 7373.82 | + | 2165.15i | 1.29422 | + | 0.380016i | ||||
\(320\) | 740.915 | − | 1622.38i | 0.129433 | − | 0.283418i | ||||
\(321\) | 13507.3 | 2.34861 | ||||||||
\(322\) | 6642.27 | − | 300.159i | 1.14956 | − | 0.0519479i | ||||
\(323\) | −1543.60 | −0.265908 | ||||||||
\(324\) | −1977.75 | + | 4330.68i | −0.339121 | + | 0.742572i | ||||
\(325\) | 6376.76 | + | 1872.39i | 1.08837 | + | 0.319573i | ||||
\(326\) | 6173.33 | + | 7124.40i | 1.04880 | + | 1.21038i | ||||
\(327\) | −5642.97 | + | 3626.52i | −0.954302 | + | 0.613293i | ||||
\(328\) | 975.905 | − | 1126.25i | 0.164285 | − | 0.189594i | ||||
\(329\) | −379.097 | + | 2636.68i | −0.0635267 | + | 0.441838i | ||||
\(330\) | −10262.9 | + | 3013.45i | −1.71198 | + | 0.502682i | ||||
\(331\) | −1515.74 | − | 974.106i | −0.251700 | − | 0.161757i | 0.408707 | − | 0.912666i | \(-0.365980\pi\) |
−0.660407 | + | 0.750908i | \(0.729616\pi\) | |||||||
\(332\) | −953.807 | − | 6633.87i | −0.157672 | − | 1.09663i | ||||
\(333\) | 3087.29 | + | 6760.22i | 0.508055 | + | 1.11249i | ||||
\(334\) | 4590.60 | + | 10052.0i | 0.752055 | + | 1.64677i | ||||
\(335\) | −10.8389 | − | 75.3860i | −0.00176773 | − | 0.0122949i | ||||
\(336\) | −7203.60 | − | 4629.47i | −1.16961 | − | 0.751662i | ||||
\(337\) | 5457.77 | − | 1602.55i | 0.882207 | − | 0.259039i | 0.190908 | − | 0.981608i | \(-0.438857\pi\) |
0.691299 | + | 0.722569i | \(0.257039\pi\) | |||||||
\(338\) | 1685.18 | − | 11720.7i | 0.271188 | − | 1.88616i | ||||
\(339\) | −3458.27 | + | 3991.06i | −0.554063 | + | 0.639423i | ||||
\(340\) | −1247.16 | + | 801.500i | −0.198931 | + | 0.127845i | ||||
\(341\) | −1988.48 | − | 2294.82i | −0.315783 | − | 0.364433i | ||||
\(342\) | −3875.31 | − | 1137.89i | −0.612728 | − | 0.179913i | ||||
\(343\) | −2863.43 | + | 6270.04i | −0.450760 | + | 0.987028i | ||||
\(344\) | 937.286 | 0.146904 | ||||||||
\(345\) | −2918.03 | + | 3691.99i | −0.455366 | + | 0.576145i | ||||
\(346\) | −10061.2 | −1.56327 | ||||||||
\(347\) | −1268.82 | + | 2778.33i | −0.196293 | + | 0.429823i | −0.982027 | − | 0.188743i | \(-0.939559\pi\) |
0.785733 | + | 0.618566i | \(0.212286\pi\) | |||||||
\(348\) | 5356.50 | + | 1572.81i | 0.825111 | + | 0.242275i | ||||
\(349\) | −7334.44 | − | 8464.40i | −1.12494 | − | 1.29825i | −0.949503 | − | 0.313758i | \(-0.898412\pi\) |
−0.175436 | − | 0.984491i | \(-0.556134\pi\) | |||||||
\(350\) | 4626.91 | − | 2973.53i | 0.706625 | − | 0.454120i | ||||
\(351\) | 28.7579 | − | 33.1883i | 0.00437316 | − | 0.00504690i | ||||
\(352\) | −2204.41 | + | 15332.0i | −0.333794 | + | 2.32159i | ||||
\(353\) | −4795.26 | + | 1408.02i | −0.723020 | + | 0.212298i | −0.622481 | − | 0.782635i | \(-0.713875\pi\) |
−0.100540 | + | 0.994933i | \(0.532057\pi\) | |||||||
\(354\) | −12397.9 | − | 7967.64i | −1.86141 | − | 1.19626i | ||||
\(355\) | −80.6668 | − | 561.050i | −0.0120601 | − | 0.0838801i | ||||
\(356\) | 2526.23 | + | 5531.67i | 0.376095 | + | 0.823534i | ||||
\(357\) | 1891.59 | + | 4142.01i | 0.280431 | + | 0.614058i | ||||
\(358\) | 11.1144 | + | 77.3025i | 0.00164082 | + | 0.0114122i | ||||
\(359\) | 9110.17 | + | 5854.75i | 1.33932 | + | 0.860729i | 0.996889 | − | 0.0788136i | \(-0.0251132\pi\) |
0.342431 | + | 0.939543i | \(0.388750\pi\) | |||||||
\(360\) | 851.161 | − | 249.923i | 0.124611 | − | 0.0365892i | ||||
\(361\) | 755.337 | − | 5253.48i | 0.110123 | − | 0.765925i | ||||
\(362\) | −4289.52 | + | 4950.36i | −0.622795 | + | 0.718744i | ||||
\(363\) | 18535.5 | − | 11912.1i | 2.68006 | − | 1.72237i | ||||
\(364\) | −4914.48 | − | 5671.62i | −0.707662 | − | 0.816685i | ||||
\(365\) | −2411.58 | − | 708.104i | −0.345830 | − | 0.101545i | ||||
\(366\) | 2155.19 | − | 4719.20i | 0.307796 | − | 0.673979i | ||||
\(367\) | −12175.4 | −1.73175 | −0.865873 | − | 0.500264i | \(-0.833236\pi\) | ||||
−0.865873 | + | 0.500264i | \(0.833236\pi\) | |||||||
\(368\) | 3707.20 | + | 7234.28i | 0.525139 | + | 1.02476i | ||||
\(369\) | −7072.24 | −0.997740 | ||||||||
\(370\) | 2538.47 | − | 5558.47i | 0.356672 | − | 0.781003i | ||||
\(371\) | 551.690 | + | 161.991i | 0.0772031 | + | 0.0226689i | ||||
\(372\) | −1444.47 | − | 1667.01i | −0.201324 | − | 0.232340i | ||||
\(373\) | 8984.82 | − | 5774.19i | 1.24723 | − | 0.801545i | 0.260746 | − | 0.965408i | \(-0.416032\pi\) |
0.986483 | + | 0.163862i | \(0.0523953\pi\) | |||||||
\(374\) | 6434.04 | − | 7425.27i | 0.889562 | − | 1.02661i | ||||
\(375\) | −1312.94 | + | 9131.67i | −0.180799 | + | 1.25749i | ||||
\(376\) | −916.148 | + | 269.005i | −0.125656 | + | 0.0368960i | ||||
\(377\) | −7155.08 | − | 4598.29i | −0.977467 | − | 0.628180i | ||||
\(378\) | −5.17206 | − | 35.9724i | −0.000703762 | − | 0.00489477i | ||||
\(379\) | −4560.78 | − | 9986.71i | −0.618130 | − | 1.35352i | −0.916872 | − | 0.399182i | \(-0.869294\pi\) |
0.298741 | − | 0.954334i | \(-0.403433\pi\) | |||||||
\(380\) | 619.001 | + | 1355.42i | 0.0835634 | + | 0.182978i | ||||
\(381\) | 862.414 | + | 5998.22i | 0.115965 | + | 0.806556i | ||||
\(382\) | 105.604 | + | 67.8674i | 0.0141444 | + | 0.00909004i | ||||
\(383\) | −2310.04 | + | 678.288i | −0.308192 | + | 0.0904932i | −0.432171 | − | 0.901792i | \(-0.642252\pi\) |
0.123980 | + | 0.992285i | \(0.460434\pi\) | |||||||
\(384\) | 745.557 | − | 5185.46i | 0.0990795 | − | 0.689113i | ||||
\(385\) | 3962.59 | − | 4573.08i | 0.524552 | − | 0.605365i | ||||
\(386\) | −12628.0 | + | 8115.51i | −1.66515 | + | 1.07013i | ||||
\(387\) | −2912.86 | − | 3361.62i | −0.382607 | − | 0.441552i | ||||
\(388\) | −3256.88 | − | 956.305i | −0.426141 | − | 0.125126i | ||||
\(389\) | 75.5474 | − | 165.426i | 0.00984680 | − | 0.0215615i | −0.904645 | − | 0.426167i | \(-0.859864\pi\) |
0.914492 | + | 0.404605i | \(0.132591\pi\) | |||||||
\(390\) | 11837.6 | 1.53697 | ||||||||
\(391\) | 421.400 | − | 4302.08i | 0.0545041 | − | 0.556434i | ||||
\(392\) | −525.224 | −0.0676729 | ||||||||
\(393\) | −2723.51 | + | 5963.66i | −0.349575 | + | 0.765463i | ||||
\(394\) | 3272.91 | + | 961.012i | 0.418494 | + | 0.122881i | ||||
\(395\) | −3973.02 | − | 4585.12i | −0.506088 | − | 0.584056i | ||||
\(396\) | 9703.79 | − | 6236.25i | 1.23140 | − | 0.791372i | ||||
\(397\) | −7022.79 | + | 8104.73i | −0.887818 | + | 1.02460i | 0.111706 | + | 0.993741i | \(0.464369\pi\) |
−0.999524 | + | 0.0308552i | \(0.990177\pi\) | |||||||
\(398\) | −1499.68 | + | 10430.5i | −0.188875 | + | 1.31366i | ||||
\(399\) | 4391.39 | − | 1289.43i | 0.550989 | − | 0.161785i | ||||
\(400\) | 5656.66 | + | 3635.32i | 0.707083 | + | 0.454415i | ||||
\(401\) | 1881.37 | + | 13085.2i | 0.234292 | + | 1.62953i | 0.679196 | + | 0.733957i | \(0.262329\pi\) |
−0.444905 | + | 0.895578i | \(0.646762\pi\) | |||||||
\(402\) | 152.316 | + | 333.525i | 0.0188976 | + | 0.0413799i | ||||
\(403\) | 1396.02 | + | 3056.85i | 0.172557 | + | 0.377847i | ||||
\(404\) | −422.877 | − | 2941.17i | −0.0520765 | − | 0.362200i | ||||
\(405\) | 3574.01 | + | 2296.88i | 0.438503 | + | 0.281809i | ||||
\(406\) | −6753.59 | + | 1983.03i | −0.825554 | + | 0.242405i | ||||
\(407\) | −2586.01 | + | 17986.1i | −0.314948 | + | 2.19051i | ||||
\(408\) | −1068.85 | + | 1233.52i | −0.129696 | + | 0.149678i | ||||
\(409\) | 2559.18 | − | 1644.68i | 0.309396 | − | 0.198837i | −0.376723 | − | 0.926326i | \(-0.622949\pi\) |
0.686119 | + | 0.727489i | \(0.259313\pi\) | |||||||
\(410\) | 3808.03 | + | 4394.70i | 0.458695 | + | 0.529363i | ||||
\(411\) | 4159.50 | + | 1221.34i | 0.499205 | + | 0.146580i | ||||
\(412\) | 1456.53 | − | 3189.35i | 0.174170 | − | 0.381378i | ||||
\(413\) | 8337.28 | 0.993343 | ||||||||
\(414\) | 4229.31 | − | 10490.0i | 0.502075 | − | 1.24530i | ||||
\(415\) | −5980.65 | −0.707419 | ||||||||
\(416\) | 7121.33 | − | 15593.5i | 0.839308 | − | 1.83783i | ||||
\(417\) | 16638.2 | + | 4885.41i | 1.95390 | + | 0.573716i | ||||
\(418\) | −6466.93 | − | 7463.24i | −0.756718 | − | 0.873299i | ||||
\(419\) | 5947.36 | − | 3822.13i | 0.693431 | − | 0.445641i | −0.145873 | − | 0.989303i | \(-0.546599\pi\) |
0.839304 | + | 0.543662i | \(0.182963\pi\) | |||||||
\(420\) | 2878.52 | − | 3321.98i | 0.334422 | − | 0.385943i | ||||
\(421\) | 1775.20 | − | 12346.8i | 0.205506 | − | 1.42933i | −0.582084 | − | 0.813129i | \(-0.697763\pi\) |
0.787590 | − | 0.616199i | \(-0.211328\pi\) | |||||||
\(422\) | −2887.39 | + | 847.814i | −0.333071 | + | 0.0977984i | ||||
\(423\) | 3811.97 | + | 2449.80i | 0.438166 | + | 0.281592i | ||||
\(424\) | 29.3310 | + | 204.002i | 0.00335953 | + | 0.0233660i | ||||
\(425\) | −1485.38 | − | 3252.54i | −0.169534 | − | 0.371227i | ||||
\(426\) | 1133.59 | + | 2482.21i | 0.128926 | + | 0.282309i | ||||
\(427\) | 417.692 | + | 2905.11i | 0.0473385 | + | 0.329247i | ||||
\(428\) | 10075.7 | + | 6475.27i | 1.13792 | + | 0.731295i | ||||
\(429\) | −33775.0 | + | 9917.24i | −3.80110 | + | 1.11611i | ||||
\(430\) | −520.493 | + | 3620.11i | −0.0583730 | + | 0.405993i | ||||
\(431\) | −1217.10 | + | 1404.61i | −0.136022 | + | 0.156978i | −0.819674 | − | 0.572830i | \(-0.805845\pi\) |
0.683651 | + | 0.729809i | \(0.260391\pi\) | |||||||
\(432\) | 37.3774 | − | 24.0210i | 0.00416278 | − | 0.00267526i | ||||
\(433\) | 1240.63 | + | 1431.76i | 0.137692 | + | 0.158905i | 0.820408 | − | 0.571779i | \(-0.193747\pi\) |
−0.682715 | + | 0.730684i | \(0.739201\pi\) | |||||||
\(434\) | 2668.43 | + | 783.521i | 0.295135 | + | 0.0866595i | ||||
\(435\) | 2069.48 | − | 4531.52i | 0.228101 | − | 0.499471i | ||||
\(436\) | −5947.88 | −0.653330 | ||||||||
\(437\) | −4219.79 | − | 1034.62i | −0.461922 | − | 0.113256i | ||||
\(438\) | 12100.1 | 1.32001 | ||||||||
\(439\) | 1400.75 | − | 3067.21i | 0.152287 | − | 0.333462i | −0.818077 | − | 0.575108i | \(-0.804960\pi\) |
0.970364 | + | 0.241646i | \(0.0776872\pi\) | |||||||
\(440\) | 2081.11 | + | 611.070i | 0.225485 | + | 0.0662083i | ||||
\(441\) | 1632.27 | + | 1883.74i | 0.176252 | + | 0.203406i | ||||
\(442\) | −9147.41 | + | 5878.68i | −0.984385 | + | 0.632626i | ||||
\(443\) | 675.869 | − | 779.995i | 0.0724865 | − | 0.0836539i | −0.718348 | − | 0.695684i | \(-0.755101\pi\) |
0.790834 | + | 0.612030i | \(0.209647\pi\) | |||||||
\(444\) | −1878.53 | + | 13065.5i | −0.200791 | + | 1.39653i | ||||
\(445\) | 5206.80 | − | 1528.85i | 0.554665 | − | 0.162864i | ||||
\(446\) | −9560.27 | − | 6144.01i | −1.01500 | − | 0.652303i | ||||
\(447\) | −1550.17 | − | 10781.6i | −0.164028 | − | 1.14084i | ||||
\(448\) | −2017.91 | − | 4418.60i | −0.212806 | − | 0.465980i | ||||
\(449\) | −3358.24 | − | 7353.51i | −0.352973 | − | 0.772904i | −0.999946 | − | 0.0103905i | \(-0.996693\pi\) |
0.646973 | − | 0.762513i | \(-0.276035\pi\) | |||||||
\(450\) | −1331.48 | − | 9260.68i | −0.139482 | − | 0.970117i | ||||
\(451\) | −14546.8 | − | 9348.68i | −1.51881 | − | 0.976080i | ||||
\(452\) | −4492.97 | + | 1319.25i | −0.467547 | + | 0.137284i | ||||
\(453\) | 2727.63 | − | 18971.1i | 0.282903 | − | 1.96763i | ||||
\(454\) | 2399.59 | − | 2769.27i | 0.248058 | − | 0.286274i | ||||
\(455\) | −5633.71 | + | 3620.56i | −0.580466 | + | 0.373043i | ||||
\(456\) | 1074.32 | + | 1239.83i | 0.110328 | + | 0.127325i | ||||
\(457\) | 9640.44 | + | 2830.69i | 0.986785 | + | 0.289746i | 0.735022 | − | 0.678043i | \(-0.237172\pi\) |
0.251762 | + | 0.967789i | \(0.418990\pi\) | |||||||
\(458\) | −3070.71 | + | 6723.92i | −0.313286 | + | 0.686000i | ||||
\(459\) | −23.6269 | −0.00240263 | ||||||||
\(460\) | −3946.61 | + | 1355.15i | −0.400025 | + | 0.137357i | ||||
\(461\) | −4152.76 | −0.419551 | −0.209776 | − | 0.977750i | \(-0.567273\pi\) | ||||
−0.209776 | + | 0.977750i | \(0.567273\pi\) | |||||||
\(462\) | −12101.6 | + | 26498.7i | −1.21865 | + | 2.66847i | ||||
\(463\) | 934.755 | + | 274.469i | 0.0938267 | + | 0.0275500i | 0.328309 | − | 0.944570i | \(-0.393521\pi\) |
−0.234482 | + | 0.972120i | \(0.575339\pi\) | |||||||
\(464\) | −5635.23 | − | 6503.40i | −0.563812 | − | 0.650674i | ||||
\(465\) | −1655.87 | + | 1064.16i | −0.165138 | + | 0.106128i | ||||
\(466\) | −8772.98 | + | 10124.6i | −0.872104 | + | 1.00646i | ||||
\(467\) | 1726.98 | − | 12011.4i | 0.171124 | − | 1.19020i | −0.705389 | − | 0.708820i | \(-0.749228\pi\) |
0.876514 | − | 0.481377i | \(-0.159863\pi\) | |||||||
\(468\) | −12248.8 | + | 3596.57i | −1.20983 | + | 0.355238i | ||||
\(469\) | −174.499 | − | 112.144i | −0.0171804 | − | 0.0110412i | ||||
\(470\) | −530.233 | − | 3687.85i | −0.0520379 | − | 0.361932i | ||||
\(471\) | −1531.57 | − | 3353.67i | −0.149832 | − | 0.328087i | ||||
\(472\) | 1241.45 | + | 2718.40i | 0.121065 | + | 0.265094i | ||||
\(473\) | −1547.77 | − | 10764.9i | −0.150457 | − | 1.04645i | ||||
\(474\) | 24571.3 | + | 15791.0i | 2.38101 | + | 1.53018i | ||||
\(475\) | −3448.37 | + | 1012.53i | −0.333099 | + | 0.0978066i | ||||
\(476\) | −574.616 | + | 3996.54i | −0.0553308 | + | 0.384834i | ||||
\(477\) | 640.508 | − | 739.186i | 0.0614819 | − | 0.0709539i | ||||
\(478\) | −1122.96 | + | 721.683i | −0.107454 | + | 0.0690565i | ||||
\(479\) | 9534.67 | + | 11003.6i | 0.909499 | + | 1.04962i | 0.998563 | + | 0.0535921i | \(0.0170671\pi\) |
−0.0890637 | + | 0.996026i | \(0.528387\pi\) | |||||||
\(480\) | 9634.11 | + | 2828.83i | 0.916114 | + | 0.268995i | ||||
\(481\) | 8354.08 | − | 18292.9i | 0.791919 | − | 1.73406i | ||||
\(482\) | 15313.3 | 1.44710 | ||||||||
\(483\) | 2394.85 | + | 12591.0i | 0.225610 | + | 1.18615i | ||||
\(484\) | 19537.1 | 1.83481 | ||||||||
\(485\) | −1258.29 | + | 2755.27i | −0.117806 | + | 0.257959i | ||||
\(486\) | −19565.0 | − | 5744.81i | −1.82611 | − | 0.536193i | ||||
\(487\) | 4015.77 | + | 4634.44i | 0.373659 | + | 0.431225i | 0.911169 | − | 0.412032i | \(-0.135181\pi\) |
−0.537511 | + | 0.843257i | \(0.680635\pi\) | |||||||
\(488\) | −885.027 | + | 568.772i | −0.0820969 | + | 0.0527605i | ||||
\(489\) | −11899.7 | + | 13733.0i | −1.10046 | + | 1.27000i | ||||
\(490\) | 291.667 | − | 2028.59i | 0.0268901 | − | 0.187025i | ||||
\(491\) | 10136.6 | − | 2976.36i | 0.931683 | − | 0.273567i | 0.219542 | − | 0.975603i | \(-0.429544\pi\) |
0.712141 | + | 0.702036i | \(0.247726\pi\) | |||||||
\(492\) | −10567.1 | − | 6791.09i | −0.968300 | − | 0.622288i | ||||
\(493\) | 651.232 | + | 4529.42i | 0.0594930 | + | 0.413783i | ||||
\(494\) | 4540.13 | + | 9941.50i | 0.413502 | + | 0.905443i | ||||
\(495\) | −4275.97 | − | 9363.08i | −0.388264 | − | 0.850180i | ||||
\(496\) | 483.875 | + | 3365.43i | 0.0438037 | + | 0.304662i | ||||
\(497\) | −1298.69 | − | 834.614i | −0.117211 | − | 0.0753271i | ||||
\(498\) | 27626.1 | − | 8111.75i | 2.48585 | − | 0.729912i | ||||
\(499\) | −771.043 | + | 5362.72i | −0.0691715 | + | 0.481099i | 0.925561 | + | 0.378598i | \(0.123594\pi\) |
−0.994733 | + | 0.102501i | \(0.967316\pi\) | |||||||
\(500\) | −5357.03 | + | 6182.34i | −0.479147 | + | 0.552965i | ||||
\(501\) | −17919.7 | + | 11516.3i | −1.59799 | + | 1.02697i | ||||
\(502\) | −11475.2 | − | 13243.1i | −1.02024 | − | 1.17742i | ||||
\(503\) | −2245.26 | − | 659.269i | −0.199028 | − | 0.0584400i | 0.180699 | − | 0.983538i | \(-0.442164\pi\) |
−0.379727 | + | 0.925098i | \(0.623982\pi\) | |||||||
\(504\) | 1003.66 | − | 2197.70i | 0.0887031 | − | 0.194233i | ||||
\(505\) | −2651.56 | −0.233650 | ||||||||
\(506\) | 22565.8 | − | 15986.1i | 1.98255 | − | 1.40449i | ||||
\(507\) | 22825.2 | 1.99941 | ||||||||
\(508\) | −2232.18 | + | 4887.79i | −0.194955 | + | 0.426891i | ||||
\(509\) | −8811.52 | − | 2587.30i | −0.767316 | − | 0.225304i | −0.125428 | − | 0.992103i | \(-0.540030\pi\) |
−0.641888 | + | 0.766799i | \(0.721849\pi\) | |||||||
\(510\) | −4170.72 | − | 4813.27i | −0.362123 | − | 0.417912i | ||||
\(511\) | −5758.64 | + | 3700.85i | −0.498527 | + | 0.320384i | ||||
\(512\) | 9168.16 | − | 10580.6i | 0.791366 | − | 0.913285i | ||||
\(513\) | −3.37964 | + | 23.5059i | −0.000290867 | + | 0.00202303i | ||||
\(514\) | −2334.99 | + | 685.615i | −0.200374 | + | 0.0588350i | ||||
\(515\) | −2632.09 | − | 1691.54i | −0.225211 | − | 0.144735i | ||||
\(516\) | −1124.33 | − | 7819.89i | −0.0959223 | − | 0.667154i | ||||
\(517\) | 4602.45 | + | 10078.0i | 0.391519 | + | 0.857307i | ||||
\(518\) | −6913.60 | − | 15138.7i | −0.586421 | − | 1.28408i | ||||
\(519\) | −2760.05 | − | 19196.5i | −0.233435 | − | 1.62357i | ||||
\(520\) | −2019.38 | − | 1297.78i | −0.170299 | − | 0.109445i | ||||
\(521\) | 16804.4 | − | 4934.21i | 1.41308 | − | 0.414917i | 0.515922 | − | 0.856635i | \(-0.327449\pi\) |
0.897154 | + | 0.441719i | \(0.145631\pi\) | |||||||
\(522\) | −1703.98 | + | 11851.5i | −0.142876 | + | 0.993725i | ||||
\(523\) | −12731.7 | + | 14693.2i | −1.06447 | + | 1.22847i | −0.0919266 | + | 0.995766i | \(0.529303\pi\) |
−0.972548 | + | 0.232703i | \(0.925243\pi\) | |||||||
\(524\) | −4890.53 | + | 3142.95i | −0.407717 | + | 0.262024i | ||||
\(525\) | 6942.73 | + | 8012.34i | 0.577154 | + | 0.666071i | ||||
\(526\) | 25264.8 | + | 7418.42i | 2.09429 | + | 0.614940i | ||||
\(527\) | 751.085 | − | 1644.65i | 0.0620830 | − | 0.135943i | ||||
\(528\) | −35614.7 | −2.93547 | ||||||||
\(529\) | 4035.53 | − | 11478.3i | 0.331678 | − | 0.943393i | ||||
\(530\) | −804.211 | −0.0659107 | ||||||||
\(531\) | 5891.54 | − | 12900.7i | 0.481490 | − | 1.05432i | ||||
\(532\) | 3893.89 | + | 1143.35i | 0.317334 | + | 0.0931776i | ||||
\(533\) | 12532.2 | + | 14462.9i | 1.01844 | + | 1.17534i | ||||
\(534\) | −21977.8 | + | 14124.3i | −1.78104 | + | 1.14460i | ||||
\(535\) | 6999.01 | − | 8077.29i | 0.565596 | − | 0.652732i | ||||
\(536\) | 10.5813 | − | 73.5947i | 0.000852693 | − | 0.00593061i | ||||
\(537\) | −144.443 | + | 42.4122i | −0.0116074 | + | 0.00340824i | ||||
\(538\) | −2592.19 | − | 1665.90i | −0.207727 | − | 0.133498i | ||||
\(539\) | 867.316 | + | 6032.32i | 0.0693097 | + | 0.482060i | ||||
\(540\) | 9.47462 | + | 20.7465i | 0.000755042 | + | 0.00165331i | ||||
\(541\) | 6339.82 | + | 13882.3i | 0.503827 | + | 1.10323i | 0.975207 | + | 0.221296i | \(0.0710288\pi\) |
−0.471380 | + | 0.881930i | \(0.656244\pi\) | |||||||
\(542\) | −2089.24 | − | 14531.0i | −0.165573 | − | 1.15158i | ||||
\(543\) | −10621.9 | − | 6826.31i | −0.839468 | − | 0.539493i | ||||
\(544\) | −8849.51 | + | 2598.45i | −0.697462 | + | 0.204793i | ||||
\(545\) | −755.354 | + | 5253.61i | −0.0593685 | + | 0.412917i | ||||
\(546\) | 21112.8 | − | 24365.4i | 1.65484 | − | 1.90979i | ||||
\(547\) | −12196.2 | + | 7838.04i | −0.953332 | + | 0.612670i | −0.922145 | − | 0.386844i | \(-0.873565\pi\) |
−0.0311873 | + | 0.999514i | \(0.509929\pi\) | |||||||
\(548\) | 2517.27 | + | 2905.09i | 0.196227 | + | 0.226458i | ||||
\(549\) | 4790.38 | + | 1406.58i | 0.372402 | + | 0.109347i | ||||
\(550\) | 9502.82 | − | 20808.3i | 0.736730 | − | 1.61321i | ||||
\(551\) | 4599.39 | 0.355609 | ||||||||
\(552\) | −3748.74 | + | 2655.70i | −0.289052 | + | 0.204772i | ||||
\(553\) | −16523.6 | −1.27062 | ||||||||
\(554\) | −8484.73 | + | 18579.0i | −0.650689 | + | 1.42481i | ||||
\(555\) | 11301.8 | + | 3318.52i | 0.864389 | + | 0.253808i | ||||
\(556\) | 10069.2 | + | 11620.5i | 0.768037 | + | 0.886362i | ||||
\(557\) | −8175.83 | + | 5254.28i | −0.621941 | + | 0.399697i | −0.813318 | − | 0.581820i | \(-0.802341\pi\) |
0.191377 | + | 0.981517i | \(0.438705\pi\) | |||||||
\(558\) | 3098.03 | − | 3575.31i | 0.235036 | − | 0.271246i | ||||
\(559\) | −1712.94 | + | 11913.8i | −0.129606 | + | 0.901428i | ||||
\(560\) | −6501.06 | + | 1908.88i | −0.490571 | + | 0.144045i | ||||
\(561\) | 15932.3 | + | 10239.1i | 1.19904 | + | 0.770578i | ||||
\(562\) | −1236.00 | − | 8596.57i | −0.0927714 | − | 0.645239i | ||||
\(563\) | −1289.00 | − | 2822.52i | −0.0964918 | − | 0.211288i | 0.855231 | − | 0.518248i | \(-0.173415\pi\) |
−0.951722 | + | 0.306960i | \(0.900688\pi\) | |||||||
\(564\) | 3343.32 | + | 7320.85i | 0.249608 | + | 0.546566i | ||||
\(565\) | 594.675 | + | 4136.06i | 0.0442800 | + | 0.307974i | ||||
\(566\) | −6048.83 | − | 3887.35i | −0.449207 | − | 0.288688i | ||||
\(567\) | 11102.0 | − | 3259.85i | 0.822296 | − | 0.241448i | ||||
\(568\) | 78.7500 | − | 547.718i | 0.00581739 | − | 0.0404608i | ||||
\(569\) | −3074.51 | + | 3548.17i | −0.226520 | + | 0.261418i | −0.857621 | − | 0.514283i | \(-0.828058\pi\) |
0.631100 | + | 0.775701i | \(0.282604\pi\) | |||||||
\(570\) | −5385.22 | + | 3460.87i | −0.395723 | + | 0.254316i | ||||
\(571\) | 7054.11 | + | 8140.87i | 0.516997 | + | 0.596646i | 0.952876 | − | 0.303359i | \(-0.0981081\pi\) |
−0.435880 | + | 0.900005i | \(0.643563\pi\) | |||||||
\(572\) | −29948.6 | − | 8793.72i | −2.18919 | − | 0.642804i | ||||
\(573\) | −100.520 | + | 220.108i | −0.00732859 | + | 0.0160474i | ||||
\(574\) | 15837.4 | 1.15164 | ||||||||
\(575\) | −1880.57 | − | 9887.15i | −0.136392 | − | 0.717083i | ||||
\(576\) | −8263.06 | −0.597733 | ||||||||
\(577\) | −6776.73 | + | 14839.0i | −0.488941 | + | 1.07063i | 0.490966 | + | 0.871179i | \(0.336644\pi\) |
−0.979907 | + | 0.199453i | \(0.936083\pi\) | |||||||
\(578\) | −12343.9 | − | 3624.51i | −0.888304 | − | 0.260830i | ||||
\(579\) | −18948.5 | − | 21867.7i | −1.36005 | − | 1.56959i | ||||
\(580\) | 3716.09 | − | 2388.19i | 0.266038 | − | 0.170973i | ||||
\(581\) | −10666.7 | + | 12310.0i | −0.761668 | + | 0.879012i | ||||
\(582\) | 2075.28 | − | 14433.9i | 0.147806 | − | 1.02801i | ||||
\(583\) | 2294.57 | − | 673.747i | 0.163004 | − | 0.0478624i | ||||
\(584\) | −2064.16 | − | 1326.55i | −0.146259 | − | 0.0939952i | ||||
\(585\) | 1621.21 | + | 11275.8i | 0.114579 | + | 0.796916i | ||||
\(586\) | −1480.30 | − | 3241.40i | −0.104352 | − | 0.228500i | ||||
\(587\) | −4912.55 | − | 10757.0i | −0.345422 | − | 0.756369i | −1.00000 | 0.000374242i | \(-0.999881\pi\) | |
0.654578 | − | 0.755995i | \(-0.272846\pi\) | |||||||
\(588\) | 630.037 | + | 4382.01i | 0.0441876 | + | 0.307331i | ||||
\(589\) | −1528.79 | − | 982.495i | −0.106949 | − | 0.0687317i | ||||
\(590\) | −11188.8 | + | 3285.32i | −0.780736 | + | 0.229245i | ||||
\(591\) | −935.750 | + | 6508.28i | −0.0651296 | + | 0.452986i | ||||
\(592\) | 13324.2 | − | 15376.9i | 0.925034 | − | 1.06755i | ||||
\(593\) | 13365.1 | − | 8589.22i | 0.925529 | − | 0.594801i | 0.0112721 | − | 0.999936i | \(-0.496412\pi\) |
0.914257 | + | 0.405135i | \(0.132776\pi\) | |||||||
\(594\) | −98.9848 | − | 114.235i | −0.00683737 | − | 0.00789074i | ||||
\(595\) | 3457.06 | + | 1015.09i | 0.238195 | + | 0.0699403i | ||||
\(596\) | 4012.29 | − | 8785.68i | 0.275755 | − | 0.603818i | ||||
\(597\) | −20312.7 | −1.39253 | ||||||||
\(598\) | −28946.8 | + | 9939.51i | −1.97947 | + | 0.679694i | ||||
\(599\) | 11566.5 | 0.788974 | 0.394487 | − | 0.918902i | \(-0.370922\pi\) | ||||
0.394487 | + | 0.918902i | \(0.370922\pi\) | |||||||
\(600\) | −1578.66 | + | 3456.77i | −0.107414 | + | 0.235204i | ||||
\(601\) | 1209.70 | + | 355.201i | 0.0821045 | + | 0.0241080i | 0.322527 | − | 0.946560i | \(-0.395468\pi\) |
−0.240422 | + | 0.970668i | \(0.577286\pi\) | |||||||
\(602\) | 6522.98 | + | 7527.92i | 0.441623 | + | 0.509660i | ||||
\(603\) | −296.835 | + | 190.764i | −0.0200465 | + | 0.0128831i | ||||
\(604\) | 11129.2 | − | 12843.8i | 0.749739 | − | 0.865245i | ||||
\(605\) | 2481.12 | − | 17256.6i | 0.166731 | − | 1.15964i | ||||
\(606\) | 12248.2 | − | 3596.40i | 0.821039 | − | 0.241079i | ||||
\(607\) | −686.082 | − | 440.918i | −0.0458768 | − | 0.0294832i | 0.517501 | − | 0.855682i | \(-0.326862\pi\) |
−0.563378 | + | 0.826199i | \(0.690499\pi\) | |||||||
\(608\) | 1319.30 | + | 9175.91i | 0.0880009 | + | 0.612059i | ||||
\(609\) | −5636.28 | − | 12341.7i | −0.375031 | − | 0.821203i | ||||
\(610\) | −1705.31 | − | 3734.12i | −0.113190 | − | 0.247853i | ||||
\(611\) | −1744.99 | − | 12136.7i | −0.115540 | − | 0.803597i | ||||
\(612\) | 5777.98 | + | 3713.29i | 0.381636 | + | 0.245263i | ||||
\(613\) | 7105.01 | − | 2086.22i | 0.468138 | − | 0.137458i | −0.0391517 | − | 0.999233i | \(-0.512466\pi\) |
0.507290 | + | 0.861776i | \(0.330647\pi\) | |||||||
\(614\) | −2816.06 | + | 19586.2i | −0.185093 | + | 1.28735i | ||||
\(615\) | −7340.37 | + | 8471.24i | −0.481288 | + | 0.555436i | ||||
\(616\) | 4969.51 | − | 3193.71i | 0.325044 | − | 0.208893i | ||||
\(617\) | 18631.6 | + | 21502.0i | 1.21569 | + | 1.40298i | 0.889040 | + | 0.457830i | \(0.151373\pi\) |
0.326646 | + | 0.945147i | \(0.394081\pi\) | |||||||
\(618\) | 14452.6 | + | 4243.66i | 0.940724 | + | 0.276221i | ||||
\(619\) | −6908.24 | + | 15126.9i | −0.448571 | + | 0.982234i | 0.541374 | + | 0.840782i | \(0.317904\pi\) |
−0.989945 | + | 0.141452i | \(0.954823\pi\) | |||||||
\(620\) | −1745.34 | −0.113056 | ||||||||
\(621\) | −64.5893 | − | 15.8363i | −0.00417372 | − | 0.00102333i | ||||
\(622\) | 20178.5 | 1.30078 | ||||||||
\(623\) | 6139.65 | − | 13444.0i | 0.394832 | − | 0.864560i | ||||
\(624\) | 37818.8 | + | 11104.6i | 2.42622 | + | 0.712403i | ||||
\(625\) | −2688.50 | − | 3102.69i | −0.172064 | − | 0.198572i | ||||
\(626\) | 18875.7 | − | 12130.7i | 1.20515 | − | 0.774505i | ||||
\(627\) | 12465.7 | − | 14386.2i | 0.793989 | − | 0.916313i | ||||
\(628\) | 465.250 | − | 3235.88i | 0.0295629 | − | 0.205614i | ||||
\(629\) | −10381.4 | + | 3048.26i | −0.658083 | + | 0.193231i | ||||
\(630\) | 7930.89 | + | 5096.87i | 0.501546 | + | 0.322324i | ||||
\(631\) | −3893.86 | − | 27082.4i | −0.245661 | − | 1.70861i | −0.622739 | − | 0.782430i | \(-0.713980\pi\) |
0.377078 | − | 0.926182i | \(-0.376929\pi\) | |||||||
\(632\) | −2460.43 | − | 5387.58i | −0.154858 | − | 0.339093i | ||||
\(633\) | −2409.70 | − | 5276.51i | −0.151307 | − | 0.331315i | ||||
\(634\) | 2672.67 | + | 18588.8i | 0.167421 | + | 1.16444i | ||||
\(635\) | 4033.78 | + | 2592.35i | 0.252088 | + | 0.162007i | ||||
\(636\) | 1666.83 | − | 489.425i | 0.103921 | − | 0.0305141i | ||||
\(637\) | 959.874 | − | 6676.07i | 0.0597042 | − | 0.415252i | ||||
\(638\) | −19171.2 | + | 22124.7i | −1.18964 | + | 1.37292i | ||||
\(639\) | −2209.15 | + | 1419.74i | −0.136765 | + | 0.0878935i | ||||
\(640\) | −2714.56 | − | 3132.77i | −0.167660 | − | 0.193490i | ||||
\(641\) | −25374.5 | − | 7450.63i | −1.56355 | − | 0.459099i | −0.618432 | − | 0.785838i | \(-0.712232\pi\) |
−0.945114 | + | 0.326740i | \(0.894050\pi\) | |||||||
\(642\) | −21374.6 | + | 46803.9i | −1.31400 | + | 2.87726i | ||||
\(643\) | 19743.8 | 1.21092 | 0.605459 | − | 0.795877i | \(-0.292990\pi\) | ||||
0.605459 | + | 0.795877i | \(0.292990\pi\) | |||||||
\(644\) | −4249.58 | + | 10540.3i | −0.260026 | + | 0.644947i | ||||
\(645\) | −7049.89 | −0.430371 | ||||||||
\(646\) | 2442.68 | − | 5348.72i | 0.148771 | − | 0.325763i | ||||
\(647\) | −592.914 | − | 174.095i | −0.0360276 | − | 0.0105787i | 0.263669 | − | 0.964613i | \(-0.415067\pi\) |
−0.299697 | + | 0.954035i | \(0.596885\pi\) | |||||||
\(648\) | 2716.02 | + | 3134.46i | 0.164654 | + | 0.190020i | ||||
\(649\) | 29171.4 | − | 18747.3i | 1.76437 | − | 1.13389i | ||||
\(650\) | −16578.9 | + | 19133.1i | −1.00043 | + | 1.15456i | ||||
\(651\) | −762.925 | + | 5306.26i | −0.0459315 | + | 0.319460i | ||||
\(652\) | −15460.1 | + | 4539.48i | −0.928624 | + | 0.272669i | ||||
\(653\) | 10338.2 | + | 6643.96i | 0.619548 | + | 0.398160i | 0.812427 | − | 0.583063i | \(-0.198146\pi\) |
−0.192878 | + | 0.981223i | \(0.561782\pi\) | |||||||
\(654\) | −3636.47 | − | 25292.2i | −0.217427 | − | 1.51224i | ||||
\(655\) | 2155.01 | + | 4718.82i | 0.128555 | + | 0.281495i | ||||
\(656\) | 8043.32 | + | 17612.4i | 0.478718 | + | 1.04825i | ||||
\(657\) | 1657.16 | + | 11525.8i | 0.0984050 | + | 0.684422i | ||||
\(658\) | −8536.42 | − | 5486.02i | −0.505751 | − | 0.325027i | ||||
\(659\) | −10548.4 | + | 3097.30i | −0.623534 | + | 0.183086i | −0.578212 | − | 0.815886i | \(-0.696249\pi\) |
−0.0453215 | + | 0.998972i | \(0.514431\pi\) | |||||||
\(660\) | 2601.81 | − | 18096.0i | 0.153448 | − | 1.06725i | ||||
\(661\) | −1093.79 | + | 1262.30i | −0.0643625 | + | 0.0742782i | −0.787018 | − | 0.616930i | \(-0.788376\pi\) |
0.722655 | + | 0.691209i | \(0.242921\pi\) | |||||||
\(662\) | 5773.95 | − | 3710.69i | 0.338989 | − | 0.217855i | ||||
\(663\) | −13725.8 | − | 15840.4i | −0.804022 | − | 0.927890i | ||||
\(664\) | −5602.04 | − | 1644.91i | −0.327412 | − | 0.0961368i | ||||
\(665\) | 1504.40 | − | 3294.17i | 0.0877264 | − | 0.192094i | ||||
\(666\) | −28310.3 | −1.64715 | ||||||||
\(667\) | −1255.62 | + | 12818.7i | −0.0728905 | + | 0.744140i | ||||
\(668\) | −18888.0 | −1.09401 | ||||||||
\(669\) | 9100.03 | − | 19926.3i | 0.525901 | − | 1.15156i | ||||
\(670\) | 278.371 | + | 81.7371i | 0.0160514 | + | 0.00471311i | ||||
\(671\) | 7993.95 | + | 9225.52i | 0.459915 | + | 0.530771i | ||||
\(672\) | 23005.4 | − | 14784.7i | 1.32061 | − | 0.848706i | ||||
\(673\) | −4307.74 | + | 4971.40i | −0.246733 | + | 0.284745i | −0.865584 | − | 0.500763i | \(-0.833053\pi\) |
0.618852 | + | 0.785508i | \(0.287598\pi\) | |||||||
\(674\) | −3083.70 | + | 21447.6i | −0.176231 | + | 1.22571i | ||||
\(675\) | −52.7817 | + | 15.4981i | −0.00300973 | + | 0.000883737i | ||||
\(676\) | 17026.4 | + | 10942.2i | 0.968728 | + | 0.622564i | ||||
\(677\) | −1765.21 | − | 12277.3i | −0.100211 | − | 0.696981i | −0.976551 | − | 0.215288i | \(-0.930931\pi\) |
0.876340 | − | 0.481693i | \(-0.159978\pi\) | |||||||
\(678\) | −8356.82 | − | 18298.9i | −0.473365 | − | 1.03653i | ||||
\(679\) | 3426.99 | + | 7504.06i | 0.193690 | + | 0.424123i | ||||
\(680\) | 183.797 | + | 1278.34i | 0.0103652 | + | 0.0720913i | ||||
\(681\) | 5942.00 | + | 3818.69i | 0.334358 | + | 0.214879i | ||||
\(682\) | 11098.4 | − | 3258.80i | 0.623140 | − | 0.182970i | ||||
\(683\) | −577.261 | + | 4014.94i | −0.0323401 | + | 0.224930i | −0.999581 | − | 0.0289281i | \(-0.990791\pi\) |
0.967241 | + | 0.253858i | \(0.0816997\pi\) | |||||||
\(684\) | 4520.78 | − | 5217.26i | 0.252714 | − | 0.291647i | ||||
\(685\) | 2885.67 | − | 1854.51i | 0.160957 | − | 0.103441i | ||||
\(686\) | −17195.0 | − | 19844.1i | −0.957010 | − | 1.10445i | ||||
\(687\) | −13671.5 | − | 4014.32i | −0.759244 | − | 0.222934i | ||||
\(688\) | −5058.82 | + | 11077.3i | −0.280328 | + | 0.613833i | ||||
\(689\) | −2646.65 | −0.146342 | ||||||||
\(690\) | −8175.43 | − | 15953.6i | −0.451063 | − | 0.880209i | ||||
\(691\) | −30141.5 | −1.65939 | −0.829693 | − | 0.558220i | \(-0.811484\pi\) | ||||
−0.829693 | + | 0.558220i | \(0.811484\pi\) | |||||||
\(692\) | 7143.81 | − | 15642.8i | 0.392438 | − | 0.859319i | ||||
\(693\) | −26898.4 | − | 7898.10i | −1.47444 | − | 0.432935i | ||||
\(694\) | −7619.31 | − | 8793.15i | −0.416751 | − | 0.480956i | ||||
\(695\) | 11542.8 | − | 7418.10i | 0.629990 | − | 0.404870i | ||||
\(696\) | 3184.81 | − | 3675.46i | 0.173448 | − | 0.200170i | ||||
\(697\) | 1465.30 | − | 10191.4i | 0.0796302 | − | 0.553840i | ||||
\(698\) | 40936.3 | − | 12020.0i | 2.21986 | − | 0.651810i | ||||
\(699\) | −21724.1 | − | 13961.3i | −1.17551 | − | 0.755455i | ||||
\(700\) | 1337.87 | + | 9305.08i | 0.0722381 | + | 0.502427i | ||||
\(701\) | 13156.5 | + | 28808.7i | 0.708863 | + | 1.55219i | 0.828883 | + | 0.559422i | \(0.188977\pi\) |
−0.120020 | + | 0.992772i | \(0.538296\pi\) | |||||||
\(702\) | 69.4926 | + | 152.168i | 0.00373622 | + | 0.00818119i | ||||
\(703\) | 1547.67 | + | 10764.3i | 0.0830322 | + | 0.577502i | ||||
\(704\) | −16996.2 | − | 10922.8i | −0.909899 | − | 0.584757i | ||||
\(705\) | 6890.90 | − | 2023.35i | 0.368122 | − | 0.108090i | ||||
\(706\) | 2709.38 | − | 18844.1i | 0.144432 | − | 1.00454i | ||||
\(707\) | −4729.15 | + | 5457.74i | −0.251567 | + | 0.290324i | ||||
\(708\) | 21190.8 | − | 13618.5i | 1.12486 | − | 0.722901i | ||||
\(709\) | −3687.72 | − | 4255.86i | −0.195339 | − | 0.225433i | 0.649627 | − | 0.760253i | \(-0.274925\pi\) |
−0.844966 | + | 0.534820i | \(0.820380\pi\) | |||||||
\(710\) | 2071.74 | + | 608.317i | 0.109508 | + | 0.0321546i | ||||
\(711\) | −11676.4 | + | 25567.8i | −0.615892 | + | 1.34862i | ||||
\(712\) | 5297.67 | 0.278847 | ||||||||
\(713\) | 3155.61 | − | 3992.58i | 0.165748 | − | 0.209710i | ||||
\(714\) | −17345.8 | −0.909174 | ||||||||
\(715\) | −11570.6 | + | 25336.1i | −0.605197 | + | 1.32520i | ||||
\(716\) | −128.079 | − | 37.6073i | −0.00668510 | − | 0.00196292i | ||||
\(717\) | −1685.02 | − | 1944.61i | −0.0877659 | − | 0.101287i | ||||
\(718\) | −34703.6 | + | 22302.7i | −1.80380 | + | 1.15923i | ||||
\(719\) | 15403.3 | − | 17776.4i | 0.798952 | − | 0.922040i | −0.199371 | − | 0.979924i | \(-0.563890\pi\) |
0.998323 | + | 0.0578844i | \(0.0184355\pi\) | |||||||
\(720\) | −1640.27 | + | 11408.3i | −0.0849016 | + | 0.590504i | ||||
\(721\) | −8176.14 | + | 2400.73i | −0.422324 | + | 0.124005i | ||||
\(722\) | 17008.5 | + | 10930.7i | 0.876719 | + | 0.563433i | ||||
\(723\) | 4200.84 | + | 29217.5i | 0.216087 | + | 1.50292i | ||||
\(724\) | −4650.94 | − | 10184.1i | −0.238744 | − | 0.522777i | ||||
\(725\) | 4425.92 | + | 9691.42i | 0.226724 | + | 0.496455i | ||||
\(726\) | 11944.8 | + | 83077.6i | 0.610622 | + | 4.24697i | ||||
\(727\) | 29251.2 | + | 18798.6i | 1.49225 | + | 0.959013i | 0.995859 | + | 0.0909155i | \(0.0289793\pi\) |
0.496394 | + | 0.868097i | \(0.334657\pi\) | |||||||
\(728\) | −6272.85 | + | 1841.88i | −0.319351 | + | 0.0937699i | ||||
\(729\) | 2784.12 | − | 19364.0i | 0.141448 | − | 0.983792i | ||||
\(730\) | 6269.86 | − | 7235.81i | 0.317888 | − | 0.366862i | ||||
\(731\) | 5447.75 | − | 3501.06i | 0.275639 | − | 0.177143i | ||||
\(732\) | 5806.98 | + | 6701.62i | 0.293214 | + | 0.338386i | ||||
\(733\) | −16011.0 | − | 4701.24i | −0.806792 | − | 0.236895i | −0.147772 | − | 0.989021i | \(-0.547210\pi\) |
−0.659019 | + | 0.752126i | \(0.729029\pi\) | |||||||
\(734\) | 19267.0 | − | 42188.9i | 0.968880 | − | 2.12155i | ||||
\(735\) | 3950.52 | 0.198255 | ||||||||
\(736\) | −25933.8 | + | 1171.93i | −1.29882 | + | 0.0586927i | ||||
\(737\) | −862.726 | −0.0431193 | ||||||||
\(738\) | 11191.5 | − | 24506.0i | 0.558218 | − | 1.22233i | ||||
\(739\) | −2049.45 | − | 601.774i | −0.102017 | − | 0.0299548i | 0.230326 | − | 0.973114i | \(-0.426021\pi\) |
−0.332343 | + | 0.943159i | \(0.607839\pi\) | |||||||
\(740\) | 6839.71 | + | 7893.44i | 0.339774 | + | 0.392120i | ||||
\(741\) | −17722.7 | + | 11389.7i | −0.878625 | + | 0.564658i | ||||
\(742\) | −1434.34 | + | 1655.31i | −0.0709652 | + | 0.0818982i | ||||
\(743\) | 3475.94 | − | 24175.7i | 0.171629 | − | 1.19370i | −0.703815 | − | 0.710383i | \(-0.748522\pi\) |
0.875444 | − | 0.483320i | \(-0.160569\pi\) | |||||||
\(744\) | −1843.73 | + | 541.367i | −0.0908526 | + | 0.0266767i | ||||
\(745\) | −7250.62 | − | 4659.69i | −0.356567 | − | 0.229151i | ||||
\(746\) | 5790.04 | + | 40270.6i | 0.284167 | + | 1.97642i | ||||
\(747\) | 11510.3 | + | 25204.0i | 0.563774 | + | 1.23449i | ||||
\(748\) | 6976.15 | + | 15275.6i | 0.341007 | + | 0.746702i | ||||
\(749\) | −4142.58 | − | 28812.2i | −0.202091 | − | 1.40558i | ||||
\(750\) | −29564.4 | − | 18999.9i | −1.43939 | − | 0.925037i | ||||
\(751\) | 8730.22 | − | 2563.42i | 0.424195 | − | 0.124555i | −0.0626658 | − | 0.998035i | \(-0.519960\pi\) |
0.486860 | + | 0.873480i | \(0.338142\pi\) | |||||||
\(752\) | 1765.50 | − | 12279.3i | 0.0856134 | − | 0.595454i | ||||
\(753\) | 22119.6 | − | 25527.4i | 1.07050 | − | 1.23542i | ||||
\(754\) | 27256.1 | − | 17516.4i | 1.31645 | − | 0.846034i | ||||
\(755\) | −9931.25 | − | 11461.3i | −0.478722 | − | 0.552475i | ||||
\(756\) | 59.6011 | + | 17.5005i | 0.00286729 | + | 0.000841912i | ||||
\(757\) | 6353.53 | − | 13912.3i | 0.305050 | − | 0.667967i | −0.693575 | − | 0.720384i | \(-0.743965\pi\) |
0.998625 | + | 0.0524177i | \(0.0166927\pi\) | |||||||
\(758\) | 41822.0 | 2.00402 | ||||||||
\(759\) | 36691.7 | + | 38669.7i | 1.75471 | + | 1.84930i | ||||
\(760\) | 1298.09 | 0.0619560 | ||||||||
\(761\) | 10878.4 | − | 23820.3i | 0.518187 | − | 1.13467i | −0.451935 | − | 0.892051i | \(-0.649266\pi\) |
0.970122 | − | 0.242619i | \(-0.0780066\pi\) | |||||||
\(762\) | −22149.1 | − | 6503.56i | −1.05299 | − | 0.309185i | ||||
\(763\) | 9466.34 | + | 10924.7i | 0.449154 | + | 0.518351i | ||||
\(764\) | −180.500 | + | 116.001i | −0.00854748 | + | 0.00549313i | ||||
\(765\) | 4013.63 | − | 4631.97i | 0.189690 | − | 0.218914i | ||||
\(766\) | 1305.20 | − | 9077.85i | 0.0615649 | − | 0.428193i | ||||
\(767\) | −36822.2 | + | 10812.0i | −1.73347 | + | 0.508993i | ||||
\(768\) | 31958.2 | + | 20538.3i | 1.50155 | + | 0.964989i | ||||
\(769\) | 713.373 | + | 4961.62i | 0.0334524 | + | 0.232667i | 0.999688 | − | 0.0249952i | \(-0.00795706\pi\) |
−0.966235 | + | 0.257662i | \(0.917048\pi\) | |||||||
\(770\) | 9575.50 | + | 20967.4i | 0.448152 | + | 0.981316i | ||||
\(771\) | −1948.69 | − | 4267.04i | −0.0910252 | − | 0.199317i | ||||
\(772\) | −3651.38 | − | 25395.9i | −0.170228 | − | 1.18396i | ||||
\(773\) | −34813.9 | − | 22373.5i | −1.61988 | − | 1.04104i | −0.956071 | − | 0.293135i | \(-0.905302\pi\) |
−0.663811 | − | 0.747900i | \(-0.731062\pi\) | |||||||
\(774\) | 16257.8 | − | 4773.71i | 0.755005 | − | 0.221689i | ||||
\(775\) | 599.091 | − | 4166.77i | 0.0277677 | − | 0.193129i | ||||
\(776\) | −1936.44 | + | 2234.77i | −0.0895799 | + | 0.103381i | ||||
\(777\) | 26987.7 | − | 17344.0i | 1.24605 | − | 0.800787i | ||||
\(778\) | 453.665 | + | 523.557i | 0.0209057 | + | 0.0241265i | ||||
\(779\) | −9929.63 | − | 2915.60i | −0.456696 | − | 0.134098i | ||||
\(780\) | −8405.14 | + | 18404.7i | −0.385836 | + | 0.844864i | ||||
\(781\) | −6420.72 | −0.294176 | ||||||||
\(782\) | 14240.3 | + | 8268.03i | 0.651190 | + | 0.378087i | ||||
\(783\) | 70.3997 | 0.00321313 | ||||||||
\(784\) | 2834.79 | − | 6207.33i | 0.129136 | − | 0.282768i | ||||
\(785\) | −2799.09 | − | 821.886i | −0.127266 | − | 0.0373686i | ||||
\(786\) | −16354.8 | − | 18874.4i | −0.742184 | − | 0.856526i | ||||
\(787\) | −33822.9 | + | 21736.7i | −1.53196 | + | 0.984534i | −0.542452 | + | 0.840087i | \(0.682504\pi\) |
−0.989513 | + | 0.144446i | \(0.953860\pi\) | |||||||
\(788\) | −3818.04 | + | 4406.25i | −0.172604 | + | 0.199196i | ||||
\(789\) | −7223.41 | + | 50239.9i | −0.325932 | + | 2.26691i | ||||
\(790\) | 22175.0 | − | 6511.16i | 0.998670 | − | 0.293236i | ||||
\(791\) | 9573.91 | + | 6152.78i | 0.430353 | + | 0.276571i | ||||
\(792\) | −1430.08 | − | 9946.40i | −0.0641610 | − | 0.446250i | ||||
\(793\) | −5612.18 | − | 12289.0i | −0.251317 | − | 0.550307i | ||||
\(794\) | −16970.4 | − | 37160.0i | −0.758509 | − | 1.66090i | ||||
\(795\) | −220.616 | − | 1534.42i | −0.00984208 | − | 0.0684532i | ||||
\(796\) | −15152.2 | − | 9737.73i | −0.674693 | − | 0.433599i | ||||
\(797\) | −12701.7 | + | 3729.55i | −0.564513 | + | 0.165756i | −0.551523 | − | 0.834160i | \(-0.685953\pi\) |
−0.0129900 | + | 0.999916i | \(0.504135\pi\) | |||||||
\(798\) | −2481.19 | + | 17257.0i | −0.110066 | + | 0.765529i | ||||
\(799\) | −4320.07 | + | 4985.63i | −0.191280 | + | 0.220749i | ||||
\(800\) | −18065.1 | + | 11609.7i | −0.798372 | + | 0.513082i | ||||
\(801\) | −16463.9 | − | 19000.4i | −0.726247 | − | 0.838133i | ||||
\(802\) | −48318.5 | − | 14187.6i | −2.12742 | − | 0.624665i | ||||
\(803\) | −11827.2 | + | 25897.9i | −0.519766 | + | 1.13813i | ||||
\(804\) | −626.703 | −0.0274902 | ||||||||
\(805\) | 8770.29 | + | 5092.12i | 0.383990 | + | 0.222948i | ||||
\(806\) | −12801.4 | −0.559441 | ||||||||
\(807\) | 2467.40 | − | 5402.86i | 0.107629 | − | 0.235675i | ||||
\(808\) | −2483.70 | − | 729.281i | −0.108139 | − | 0.0317525i | ||||
\(809\) | 25842.3 | + | 29823.6i | 1.12308 | + | 1.29610i | 0.950369 | + | 0.311125i | \(0.100706\pi\) |
0.172706 | + | 0.984973i | \(0.444749\pi\) | |||||||
\(810\) | −13614.6 | + | 8749.56i | −0.590577 | + | 0.379541i | ||||
\(811\) | 14562.4 | − | 16805.9i | 0.630523 | − | 0.727663i | −0.347146 | − | 0.937811i | \(-0.612849\pi\) |
0.977670 | + | 0.210148i | \(0.0673947\pi\) | |||||||
\(812\) | 1712.15 | − | 11908.3i | 0.0739960 | − | 0.514653i | ||||
\(813\) | 27151.7 | − | 7972.47i | 1.17128 | − | 0.343920i | ||||
\(814\) | −58231.1 | − | 37422.9i | −2.50737 | − | 1.61139i | ||||
\(815\) | 2046.25 | + | 14232.0i | 0.0879471 | + | 0.611686i | ||||
\(816\) | −8809.40 | − | 19289.9i | −0.377930 | − | 0.827551i | ||||
\(817\) | −2703.88 | − | 5920.67i | −0.115785 | − | 0.253535i | ||||
\(818\) | 1649.20 | + | 11470.4i | 0.0704924 | + | 0.490285i | ||||
\(819\) | 26100.5 | + | 16773.8i | 1.11358 | + | 0.715657i | ||||
\(820\) | −9536.57 | + | 2800.19i | −0.406136 | + | 0.119252i | ||||
\(821\) | 1573.15 | − | 10941.5i | 0.0668738 | − | 0.465118i | −0.928677 | − | 0.370890i | \(-0.879053\pi\) |
0.995551 | − | 0.0942278i | \(-0.0300382\pi\) | |||||||
\(822\) | −10814.3 | + | 12480.3i | −0.458870 | + | 0.529564i | ||||
\(823\) | 24726.1 | − | 15890.5i | 1.04726 | − | 0.673035i | 0.100490 | − | 0.994938i | \(-0.467959\pi\) |
0.946773 | + | 0.321903i | \(0.104323\pi\) | |||||||
\(824\) | −2000.23 | − | 2308.38i | −0.0845646 | − | 0.0975927i | ||||
\(825\) | 42308.7 | + | 12423.0i | 1.78546 | + | 0.524257i | ||||
\(826\) | −13193.4 | + | 28889.4i | −0.555757 | + | 1.21694i | ||||
\(827\) | 6966.60 | 0.292929 | 0.146465 | − | 0.989216i | \(-0.453211\pi\) | ||||
0.146465 | + | 0.989216i | \(0.453211\pi\) | |||||||
\(828\) | 13306.5 | + | 14023.9i | 0.558495 | + | 0.588603i | ||||
\(829\) | 41076.2 | 1.72091 | 0.860455 | − | 0.509527i | \(-0.170180\pi\) | ||||
0.860455 | + | 0.509527i | \(0.170180\pi\) | |||||||
\(830\) | 9464.11 | − | 20723.5i | 0.395788 | − | 0.866655i | ||||
\(831\) | −37775.9 | − | 11092.0i | −1.57693 | − | 0.463030i | ||||
\(832\) | 14642.4 | + | 16898.2i | 0.610135 | + | 0.704133i | ||||
\(833\) | −3052.74 | + | 1961.87i | −0.126976 | + | 0.0816025i | ||||
\(834\) | −43257.5 | + | 49921.9i | −1.79603 | + | 2.07272i | ||||
\(835\) | −2398.69 | + | 16683.3i | −0.0994134 | + | 0.691435i | ||||
\(836\) | 16195.4 | − | 4755.38i | 0.670009 | − | 0.196733i | ||||
\(837\) | −23.4001 | − | 15.0384i | −0.000966341 | − | 0.000621030i | ||||
\(838\) | 3832.62 | + | 26656.5i | 0.157990 | + | 1.09885i | ||||
\(839\) | 5159.96 | + | 11298.7i | 0.212326 | + | 0.464929i | 0.985589 | − | 0.169156i | \(-0.0541042\pi\) |
−0.773263 | + | 0.634085i | \(0.781377\pi\) | |||||||
\(840\) | −1590.73 | − | 3483.21i | −0.0653397 | − | 0.143074i | ||||
\(841\) | 1530.47 | + | 10644.7i | 0.0627527 | + | 0.436454i | ||||
\(842\) | 39973.6 | + | 25689.5i | 1.63608 | + | 1.05145i | ||||
\(843\) | 16063.0 | − | 4716.53i | 0.656276 | − | 0.192700i | ||||
\(844\) | 732.003 | − | 5091.19i | 0.0298538 | − | 0.207638i | ||||
\(845\) | 11827.2 | − | 13649.3i | 0.481501 | − | 0.555682i | ||||
\(846\) | −14521.0 | + | 9332.11i | −0.590123 | + | 0.379249i | ||||
\(847\) | −31094.2 | − | 35884.6i | −1.26140 | − | 1.45574i | ||||
\(848\) | −2569.29 | − | 754.413i | −0.104045 | − | 0.0305503i | ||||
\(849\) | 5757.64 | − | 12607.5i | 0.232746 | − | 0.509643i | ||||
\(850\) | 13620.9 | 0.549638 | ||||||||
\(851\) | −30423.1 | + | 1374.80i | −1.22549 | + | 0.0553789i | ||||
\(852\) | −4664.15 | −0.187548 | ||||||||
\(853\) | −7971.60 | + | 17455.4i | −0.319979 | + | 0.700657i | −0.999454 | − | 0.0330419i | \(-0.989481\pi\) |
0.679475 | + | 0.733699i | \(0.262208\pi\) | |||||||
\(854\) | −10727.5 | − | 3149.86i | −0.429843 | − | 0.126213i | ||||
\(855\) | −4034.15 | − | 4655.65i | −0.161362 | − | 0.186222i | ||||
\(856\) | 8777.50 | − | 5640.95i | 0.350477 | − | 0.225238i | ||||
\(857\) | 13943.0 | − | 16091.1i | 0.555758 | − | 0.641378i | −0.406457 | − | 0.913670i | \(-0.633236\pi\) |
0.962215 | + | 0.272291i | \(0.0877814\pi\) | |||||||
\(858\) | 19083.3 | − | 132727.i | 0.759315 | − | 5.28115i | ||||
\(859\) | 1532.98 | − | 450.124i | 0.0608901 | − | 0.0178789i | −0.251146 | − | 0.967949i | \(-0.580807\pi\) |
0.312036 | + | 0.950070i | \(0.398989\pi\) | |||||||
\(860\) | −5258.85 | − | 3379.66i | −0.208518 | − | 0.134006i | ||||
\(861\) | 4344.62 | + | 30217.5i | 0.171968 | + | 1.19606i | ||||
\(862\) | −2941.09 | − | 6440.09i | −0.116211 | − | 0.254467i | ||||
\(863\) | −7266.60 | − | 15911.6i | −0.286626 | − | 0.627623i | 0.710474 | − | 0.703723i | \(-0.248480\pi\) |
−0.997100 | + | 0.0761002i | \(0.975753\pi\) | |||||||
\(864\) | 20.1935 | + | 140.449i | 0.000795137 | + | 0.00553030i | ||||
\(865\) | −12909.6 | − | 8296.50i | −0.507445 | − | 0.326115i | ||||
\(866\) | −6924.40 | + | 2033.19i | −0.271710 | + | 0.0797812i | ||||
\(867\) | 3529.23 | − | 24546.3i | 0.138246 | − | 0.961519i | ||||
\(868\) | −3112.88 | + | 3592.45i | −0.121726 | + | 0.140479i | ||||
\(869\) | −57814.7 | + | 37155.3i | −2.25688 | + | 1.45041i | ||||
\(870\) | 12427.3 | + | 14341.8i | 0.484280 | + | 0.558889i | ||||
\(871\) | 916.118 | + | 268.996i | 0.0356389 | + | 0.0104645i | ||||
\(872\) | −2152.48 | + | 4713.27i | −0.0835919 | + | 0.183041i | ||||
\(873\) | 14033.1 | 0.544041 | ||||||||
\(874\) | 10262.7 | − | 12984.7i | 0.397186 | − | 0.502533i | ||||
\(875\) | 19881.4 | 0.768128 | ||||||||
\(876\) | −8591.53 | + | 18812.8i | −0.331371 | + | 0.725601i | ||||
\(877\) | −9259.49 | − | 2718.83i | −0.356523 | − | 0.104685i | 0.0985660 | − | 0.995131i | \(-0.468574\pi\) |
−0.455089 | + | 0.890446i | \(0.650393\pi\) | |||||||
\(878\) | 8411.54 | + | 9707.43i | 0.323321 | + | 0.373132i | ||||
\(879\) | 5778.45 | − | 3713.59i | 0.221732 | − | 0.142498i | ||||
\(880\) | −18454.3 | + | 21297.4i | −0.706926 | + | 0.815836i | ||||
\(881\) | −3521.45 | + | 24492.2i | −0.134666 | + | 0.936623i | 0.804694 | + | 0.593690i | \(0.202329\pi\) |
−0.939360 | + | 0.342933i | \(0.888580\pi\) | |||||||
\(882\) | −9110.31 | + | 2675.03i | −0.347801 | + | 0.102124i | ||||
\(883\) | −9351.11 | − | 6009.59i | −0.356387 | − | 0.229036i | 0.350179 | − | 0.936683i | \(-0.386121\pi\) |
−0.706567 | + | 0.707646i | \(0.749757\pi\) | |||||||
\(884\) | −2644.97 | − | 18396.2i | −0.100633 | − | 0.699921i | ||||
\(885\) | −9337.71 | − | 20446.7i | −0.354671 | − | 0.776621i | ||||
\(886\) | 1633.22 | + | 3576.25i | 0.0619290 | + | 0.135606i | ||||
\(887\) | 6180.96 | + | 42989.5i | 0.233976 | + | 1.62734i | 0.680628 | + | 0.732629i | \(0.261707\pi\) |
−0.446653 | + | 0.894707i | \(0.647384\pi\) | |||||||
\(888\) | 9673.64 | + | 6216.87i | 0.365570 | + | 0.234938i | ||||
\(889\) | 12530.2 | − | 3679.21i | 0.472723 | − | 0.138804i | ||||
\(890\) | −2941.90 | + | 20461.4i | −0.110801 | + | 0.770637i | ||||
\(891\) | 31514.9 | − | 36370.2i | 1.18495 | − | 1.36751i | ||||
\(892\) | 16340.6 | − | 10501.5i | 0.613369 | − | 0.394188i | ||||
\(893\) | 4342.16 | + | 5011.12i | 0.162715 | + | 0.187783i | ||||
\(894\) | 39812.4 | + | 11690.0i | 1.48940 | + | 0.437329i | ||||
\(895\) | −49.4830 | + | 108.353i | −0.00184808 | + | 0.00404674i | ||||
\(896\) | −11289.7 | −0.420941 | ||||||||
\(897\) | −26905.3 | − | 52503.3i | −1.00150 | − | 1.95433i | ||||
\(898\) | 30794.8 | 1.14436 | ||||||||
\(899\) | −2237.97 | + | 4900.46i | −0.0830260 | + | 0.181802i | ||||
\(900\) | 15343.6 | + | 4505.29i | 0.568281 | + | 0.166862i | ||||
\(901\) | 932.490 | + | 1076.15i | 0.0344792 | + | 0.0397911i | ||||
\(902\) | 55413.7 | − | 35612.2i | 2.04554 | − | 1.31459i | ||||
\(903\) | −12573.7 | + | 14510.9i | −0.463375 | + | 0.534763i | ||||
\(904\) | −580.545 | + | 4037.78i | −0.0213591 | + | 0.148556i | ||||
\(905\) | −9586.03 | + | 2814.71i | −0.352100 | + | 0.103386i | ||||
\(906\) | 61420.1 | + | 39472.3i | 2.25226 | + | 1.44744i | ||||
\(907\) | −6886.02 | − | 47893.3i | −0.252091 | − | 1.75333i | −0.585614 | − | 0.810590i | \(-0.699146\pi\) |
0.333523 | − | 0.942742i | \(-0.391763\pi\) | |||||||
\(908\) | 2601.77 | + | 5697.08i | 0.0950912 | + | 0.208221i | ||||
\(909\) | 5103.16 | + | 11174.4i | 0.186206 | + | 0.407734i | ||||
\(910\) | −3630.50 | − | 25250.7i | −0.132253 | − | 0.919837i | ||||
\(911\) | −7357.17 | − | 4728.16i | −0.267567 | − | 0.171955i | 0.399977 | − | 0.916525i | \(-0.369018\pi\) |
−0.667544 | + | 0.744570i | \(0.732654\pi\) | |||||||
\(912\) | −20451.3 | + | 6005.04i | −0.742555 | + | 0.218034i | ||||
\(913\) | −9641.35 | + | 67057.1i | −0.349488 | + | 2.43074i | ||||
\(914\) | −25064.1 | + | 28925.5i | −0.907054 | + | 1.04680i | ||||
\(915\) | 6656.82 | − | 4278.08i | 0.240511 | − | 0.154567i | ||||
\(916\) | −8273.80 | − | 9548.47i | −0.298443 | − | 0.344422i | ||||
\(917\) | 13556.3 | + | 3980.49i | 0.488189 | + | 0.143345i | ||||
\(918\) | 37.3884 | − | 81.8692i | 0.00134423 | − | 0.00294345i | ||||
\(919\) | 11203.8 | 0.402154 | 0.201077 | − | 0.979575i | \(-0.435556\pi\) | ||||
0.201077 | + | 0.979575i | \(0.435556\pi\) | |||||||
\(920\) | −354.375 | + | 3617.82i | −0.0126993 | + | 0.129648i | ||||
\(921\) | −38142.6 | −1.36465 | ||||||||
\(922\) | 6571.54 | − | 14389.7i | 0.234731 | − | 0.513990i | ||||
\(923\) | 6818.08 | + | 2001.97i | 0.243142 | + | 0.0713928i | ||||
\(924\) | −32606.8 | − | 37630.2i | −1.16091 | − | 1.33977i | ||||
\(925\) | −21192.3 | + | 13619.4i | −0.753295 | + | 0.484113i | ||||
\(926\) | −2430.27 | + | 2804.68i | −0.0862457 | + | 0.0995328i | ||||
\(927\) | −2062.90 | + | 14347.8i | −0.0730903 | + | 0.508354i | ||||
\(928\) | 26368.4 | − | 7742.46i | 0.932743 | − | 0.273878i | ||||
\(929\) | −6621.03 | − | 4255.08i | −0.233831 | − | 0.150274i | 0.418479 | − | 0.908227i | \(-0.362563\pi\) |
−0.652310 | + | 0.757953i | \(0.726200\pi\) | |||||||
\(930\) | −1067.08 | − | 7421.72i | −0.0376247 | − | 0.261686i | ||||
\(931\) | 1515.16 | + | 3317.74i | 0.0533377 | + | 0.116793i | ||||
\(932\) | −9512.17 | − | 20828.7i | −0.334315 | − | 0.732047i | ||||
\(933\) | 5535.50 | + | 38500.2i | 0.194238 | + | 1.35095i | ||||
\(934\) | 38887.8 | + | 24991.6i | 1.36236 | + | 0.875537i | ||||
\(935\) | 14378.5 | − | 4221.91i | 0.502917 | − | 0.147670i | ||||
\(936\) | −1582.69 | + | 11007.8i | −0.0552690 | + | 0.384405i | ||||
\(937\) | −21302.0 | + | 24583.8i | −0.742696 | + | 0.857117i | −0.993839 | − | 0.110833i | \(-0.964648\pi\) |
0.251143 | + | 0.967950i | \(0.419194\pi\) | |||||||
\(938\) | 664.725 | − | 427.193i | 0.0231386 | − | 0.0148703i | ||||
\(939\) | 28323.3 | + | 32686.8i | 0.984340 | + | 1.13599i | ||||
\(940\) | 6110.23 | + | 1794.12i | 0.212015 | + | 0.0622531i | ||||
\(941\) | 12469.4 | − | 27304.3i | 0.431979 | − | 0.945903i | −0.561022 | − | 0.827801i | \(-0.689592\pi\) |
0.993001 | − | 0.118102i | \(-0.0376809\pi\) | |||||||
\(942\) | 14044.4 | 0.485766 | ||||||||
\(943\) | 10836.7 | − | 26878.3i | 0.374221 | − | 0.928185i | ||||
\(944\) | −38827.8 | −1.33870 | ||||||||
\(945\) | 23.0268 | − | 50.4216i | 0.000792657 | − | 0.00173568i | ||||
\(946\) | 39750.8 | + | 11671.9i | 1.36618 | + | 0.401148i | ||||
\(947\) | −10759.3 | − | 12416.9i | −0.369199 | − | 0.426079i | 0.540501 | − | 0.841343i | \(-0.318235\pi\) |
−0.909701 | + | 0.415264i | \(0.863689\pi\) | |||||||
\(948\) | −41997.9 | + | 26990.4i | −1.43885 | + | 0.924691i | ||||
\(949\) | 20634.1 | − | 23813.0i | 0.705807 | − | 0.814544i | ||||
\(950\) | 1948.37 | − | 13551.2i | 0.0665403 | − | 0.462798i | ||||
\(951\) | −34733.9 | + | 10198.8i | −1.18436 | + | 0.347759i | ||||
\(952\) | 2959.02 | + | 1901.65i | 0.100738 | + | 0.0647404i | ||||
\(953\) | 849.600 | + | 5909.10i | 0.0288785 | + | 0.200855i | 0.999153 | − | 0.0411531i | \(-0.0131031\pi\) |
−0.970274 | + | 0.242008i | \(0.922194\pi\) | |||||||
\(954\) | 1547.77 | + | 3389.15i | 0.0525272 | + | 0.115018i | ||||
\(955\) | 79.5375 | + | 174.163i | 0.00269505 | + | 0.00590134i | ||||
\(956\) | −324.704 | − | 2258.36i | −0.0109850 | − | 0.0764024i | ||||
\(957\) | −47472.7 | − | 30508.9i | −1.60353 | − | 1.03052i | ||||
\(958\) | −53216.6 | + | 15625.8i | −1.79473 | + | 0.526980i | ||||
\(959\) | 1329.54 | − | 9247.17i | 0.0447687 | − | 0.311373i | ||||
\(960\) | −8576.33 | + | 9897.62i | −0.288333 | + | 0.332754i | ||||
\(961\) | −23271.1 | + | 14955.4i | −0.781145 | + | 0.502012i | ||||
\(962\) | 50166.5 | + | 57895.3i | 1.68132 | + | 1.94035i | ||||
\(963\) | −47509.9 | − | 13950.2i | −1.58981 | − | 0.466810i | ||||
\(964\) | −10873.0 | + | 23808.5i | −0.363274 | + | 0.795458i | ||||
\(965\) | −22895.2 | −0.763755 | ||||||||
\(966\) | −47418.7 | − | 11626.3i | −1.57937 | − | 0.387236i | ||||
\(967\) | 26266.4 | 0.873496 | 0.436748 | − | 0.899584i | \(-0.356130\pi\) | ||||
0.436748 | + | 0.899584i | \(0.356130\pi\) | |||||||
\(968\) | 7070.27 | − | 15481.7i | 0.234760 | − | 0.514052i | ||||
\(969\) | 10875.4 | + | 3193.30i | 0.360544 | + | 0.105865i | ||||
\(970\) | −7556.06 | − | 8720.16i | −0.250114 | − | 0.288647i | ||||
\(971\) | 22185.4 | − | 14257.7i | 0.733228 | − | 0.471217i | −0.119988 | − | 0.992775i | \(-0.538286\pi\) |
0.853216 | + | 0.521559i | \(0.174649\pi\) | |||||||
\(972\) | 22823.7 | − | 26340.0i | 0.753160 | − | 0.869193i | ||||
\(973\) | 5318.22 | − | 36989.1i | 0.175226 | − | 1.21872i | ||||
\(974\) | −22413.5 | + | 6581.20i | −0.737347 | + | 0.216504i | ||||
\(975\) | −41053.6 | − | 26383.6i | −1.34848 | − | 0.866616i | ||||
\(976\) | −1945.25 | − | 13529.5i | −0.0637970 | − | 0.443718i | ||||
\(977\) | −10609.7 | − | 23232.1i | −0.347426 | − | 0.760757i | −0.999995 | − | 0.00302804i | \(-0.999036\pi\) |
0.652569 | − | 0.757729i | \(-0.273691\pi\) | |||||||
\(978\) | −28755.4 | − | 62965.5i | −0.940179 | − | 2.05871i | ||||
\(979\) | −8748.19 | − | 60845.0i | −0.285591 | − | 1.98633i | ||||
\(980\) | 2946.88 | + | 1893.85i | 0.0960559 | + | 0.0617314i | ||||
\(981\) | 23593.8 | − | 6927.75i | 0.767880 | − | 0.225470i | ||||
\(982\) | −5727.27 | + | 39834.0i | −0.186115 | + | 1.29446i | ||||
\(983\) | 2984.17 | − | 3443.92i | 0.0968264 | − | 0.111744i | −0.705268 | − | 0.708941i | \(-0.749173\pi\) |
0.802095 | + | 0.597197i | \(0.203719\pi\) | |||||||
\(984\) | −9205.59 | + | 5916.08i | −0.298235 | + | 0.191664i | ||||
\(985\) | 3407.05 | + | 3931.94i | 0.110211 | + | 0.127190i | ||||
\(986\) | −16725.4 | − | 4911.02i | −0.540208 | − | 0.158619i | ||||
\(987\) | 8125.48 | − | 17792.3i | 0.262043 | − | 0.573795i | ||||
\(988\) | −18680.4 | −0.601520 | ||||||||
\(989\) | 17239.3 | − | 5919.48i | 0.554274 | − | 0.190322i | ||||
\(990\) | 39210.4 | 1.25878 | ||||||||
\(991\) | −20936.8 | + | 45845.2i | −0.671120 | + | 1.46955i | 0.200666 | + | 0.979660i | \(0.435689\pi\) |
−0.871786 | + | 0.489888i | \(0.837038\pi\) | |||||||
\(992\) | −10418.5 | − | 3059.15i | −0.333455 | − | 0.0979113i | ||||
\(993\) | 8663.89 | + | 9998.66i | 0.276878 | + | 0.319535i | ||||
\(994\) | 4947.12 | − | 3179.32i | 0.157860 | − | 0.101451i | ||||
\(995\) | −10525.3 | + | 12146.9i | −0.335353 | + | 0.387018i | ||||
\(996\) | −7003.69 | + | 48711.7i | −0.222812 | + | 1.54969i | ||||
\(997\) | 42362.0 | − | 12438.6i | 1.34566 | − | 0.395120i | 0.471971 | − | 0.881614i | \(-0.343543\pi\) |
0.873684 | + | 0.486494i | \(0.161724\pi\) | |||||||
\(998\) | −17362.2 | − | 11158.0i | −0.550691 | − | 0.353908i | ||||
\(999\) | 23.6892 | + | 164.762i | 0.000750243 | + | 0.00521805i |
(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 | 23.4.c.a.6.2 | yes | 50 | |
3.2 | odd | 2 | 207.4.i.a.190.4 | 50 | |||
23.2 | even | 11 | 529.4.a.n.1.5 | 25 | |||
23.4 | even | 11 | inner | 23.4.c.a.4.2 | ✓ | 50 | |
23.21 | odd | 22 | 529.4.a.m.1.5 | 25 | |||
69.50 | odd | 22 | 207.4.i.a.73.4 | 50 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
23.4.c.a.4.2 | ✓ | 50 | 23.4 | even | 11 | inner | |
23.4.c.a.6.2 | yes | 50 | 1.1 | even | 1 | trivial | |
207.4.i.a.73.4 | 50 | 69.50 | odd | 22 | |||
207.4.i.a.190.4 | 50 | 3.2 | odd | 2 | |||
529.4.a.m.1.5 | 25 | 23.21 | odd | 22 | |||
529.4.a.n.1.5 | 25 | 23.2 | even | 11 |