Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [74,4,Mod(7,74)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(74, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("74.7");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 74 = 2 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 74.f (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.36614134042\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 53.2 | ||
Character | \(\chi\) | \(=\) | 74.53 |
Dual form | 74.4.f.a.7.2 |
$q$-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 \(\left(\mathbb{Z}/74\mathbb{Z}\right)^\times\).
\(n\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.87939 | + | 0.684040i | 0.664463 | + | 0.241845i | ||||
\(3\) | −1.71848 | + | 0.625476i | −0.330722 | + | 0.120373i | −0.502044 | − | 0.864842i | \(-0.667418\pi\) |
0.171322 | + | 0.985215i | \(0.445196\pi\) | |||||||
\(4\) | 3.06418 | + | 2.57115i | 0.383022 | + | 0.321394i | ||||
\(5\) | −3.13691 | + | 17.7903i | −0.280574 | + | 1.59121i | 0.440106 | + | 0.897946i | \(0.354941\pi\) |
−0.720680 | + | 0.693268i | \(0.756170\pi\) | |||||||
\(6\) | −3.65754 | −0.248864 | ||||||||
\(7\) | 1.67925 | − | 9.52347i | 0.0906707 | − | 0.514219i | −0.905318 | − | 0.424735i | \(-0.860367\pi\) |
0.995988 | − | 0.0894839i | \(-0.0285218\pi\) | |||||||
\(8\) | 4.00000 | + | 6.92820i | 0.176777 | + | 0.306186i | ||||
\(9\) | −18.1212 | + | 15.2055i | −0.671157 | + | 0.563168i | ||||
\(10\) | −18.0648 | + | 31.2891i | −0.571258 | + | 0.989448i | ||||
\(11\) | 0.610928 | + | 1.05816i | 0.0167456 | + | 0.0290043i | 0.874277 | − | 0.485428i | \(-0.161336\pi\) |
−0.857531 | + | 0.514432i | \(0.828003\pi\) | |||||||
\(12\) | −6.87392 | − | 2.50190i | −0.165361 | − | 0.0601864i | ||||
\(13\) | 60.0781 | + | 50.4115i | 1.28174 | + | 1.07551i | 0.993001 | + | 0.118104i | \(0.0376816\pi\) |
0.288743 | + | 0.957407i | \(0.406763\pi\) | |||||||
\(14\) | 9.67039 | − | 16.7496i | 0.184609 | − | 0.319751i | ||||
\(15\) | −5.73669 | − | 32.5344i | −0.0987471 | − | 0.560022i | ||||
\(16\) | 2.77837 | + | 15.7569i | 0.0434120 | + | 0.246202i | ||||
\(17\) | 82.1103 | − | 68.8987i | 1.17145 | − | 0.982964i | 0.171454 | − | 0.985192i | \(-0.445154\pi\) |
0.999998 | + | 0.00222769i | \(0.000709096\pi\) | |||||||
\(18\) | −44.4580 | + | 16.1814i | −0.582158 | + | 0.211888i | ||||
\(19\) | −116.299 | + | 42.3293i | −1.40425 | + | 0.511105i | −0.929437 | − | 0.368981i | \(-0.879707\pi\) |
−0.474813 | + | 0.880086i | \(0.657484\pi\) | |||||||
\(20\) | −55.3536 | + | 46.4472i | −0.618872 | + | 0.519296i | ||||
\(21\) | 3.07095 | + | 17.4162i | 0.0319113 | + | 0.180978i | ||||
\(22\) | 0.424346 | + | 2.40659i | 0.00411232 | + | 0.0233221i | ||||
\(23\) | 101.088 | − | 175.089i | 0.916446 | − | 1.58733i | 0.111676 | − | 0.993745i | \(-0.464378\pi\) |
0.804770 | − | 0.593587i | \(-0.202289\pi\) | |||||||
\(24\) | −11.2073 | − | 9.40408i | −0.0953204 | − | 0.0799833i | ||||
\(25\) | −189.194 | − | 68.8608i | −1.51355 | − | 0.550887i | ||||
\(26\) | 78.4264 | + | 135.839i | 0.591565 | + | 1.02462i | ||||
\(27\) | 46.3187 | − | 80.2263i | 0.330149 | − | 0.571836i | ||||
\(28\) | 29.6318 | − | 24.8640i | 0.199996 | − | 0.167816i | ||||
\(29\) | −39.0166 | − | 67.5788i | −0.249835 | − | 0.432726i | 0.713645 | − | 0.700507i | \(-0.247043\pi\) |
−0.963480 | + | 0.267781i | \(0.913710\pi\) | |||||||
\(30\) | 11.4734 | − | 65.0687i | 0.0698247 | − | 0.395996i | ||||
\(31\) | 263.850 | 1.52867 | 0.764336 | − | 0.644818i | \(-0.223067\pi\) | ||||
0.764336 | + | 0.644818i | \(0.223067\pi\) | |||||||
\(32\) | −5.55674 | + | 31.5138i | −0.0306970 | + | 0.174091i | ||||
\(33\) | −1.71172 | − | 1.43630i | −0.00902946 | − | 0.00757662i | ||||
\(34\) | 201.446 | − | 73.3205i | 1.01611 | − | 0.369834i | ||||
\(35\) | 164.158 | + | 59.7486i | 0.792793 | + | 0.288553i | ||||
\(36\) | −94.6224 | −0.438067 | ||||||||
\(37\) | −136.197 | + | 179.174i | −0.605152 | + | 0.796110i | ||||
\(38\) | −247.525 | −1.05668 | ||||||||
\(39\) | −134.774 | − | 49.0538i | −0.553363 | − | 0.201408i | ||||
\(40\) | −135.803 | + | 49.4281i | −0.536807 | + | 0.195382i | ||||
\(41\) | −49.2441 | − | 41.3207i | −0.187577 | − | 0.157395i | 0.544164 | − | 0.838979i | \(-0.316847\pi\) |
−0.731740 | + | 0.681584i | \(0.761292\pi\) | |||||||
\(42\) | −6.14190 | + | 34.8325i | −0.0225647 | + | 0.127971i | ||||
\(43\) | 129.426 | 0.459008 | 0.229504 | − | 0.973308i | \(-0.426290\pi\) | ||||
0.229504 | + | 0.973308i | \(0.426290\pi\) | |||||||
\(44\) | −0.848693 | + | 4.81318i | −0.00290785 | + | 0.0164912i | ||||
\(45\) | −213.666 | − | 370.081i | −0.707811 | − | 1.22597i | ||||
\(46\) | 309.751 | − | 259.912i | 0.992833 | − | 0.833085i | ||||
\(47\) | 31.7391 | − | 54.9737i | 0.0985026 | − | 0.170612i | −0.812562 | − | 0.582874i | \(-0.801928\pi\) |
0.911065 | + | 0.412263i | \(0.135261\pi\) | |||||||
\(48\) | −14.6301 | − | 25.3402i | −0.0439933 | − | 0.0761987i | ||||
\(49\) | 234.438 | + | 85.3284i | 0.683492 | + | 0.248771i | ||||
\(50\) | −308.464 | − | 258.832i | −0.872468 | − | 0.732087i | ||||
\(51\) | −98.0104 | + | 169.759i | −0.269102 | + | 0.466098i | ||||
\(52\) | 54.4744 | + | 308.940i | 0.145274 | + | 0.823889i | ||||
\(53\) | 59.6033 | + | 338.027i | 0.154475 | + | 0.876068i | 0.959265 | + | 0.282509i | \(0.0911667\pi\) |
−0.804790 | + | 0.593559i | \(0.797722\pi\) | |||||||
\(54\) | 141.929 | − | 119.092i | 0.357668 | − | 0.300119i | ||||
\(55\) | −20.7414 | + | 7.54925i | −0.0508504 | + | 0.0185080i | ||||
\(56\) | 72.6975 | − | 26.4597i | 0.173475 | − | 0.0631399i | ||||
\(57\) | 173.381 | − | 145.484i | 0.402893 | − | 0.338067i | ||||
\(58\) | −27.1007 | − | 153.695i | −0.0613533 | − | 0.347952i | ||||
\(59\) | 29.9993 | + | 170.135i | 0.0661963 | + | 0.375418i | 0.999851 | + | 0.0172441i | \(0.00548925\pi\) |
−0.933655 | + | 0.358173i | \(0.883400\pi\) | |||||||
\(60\) | 66.0725 | − | 114.441i | 0.142165 | − | 0.246238i | ||||
\(61\) | −447.028 | − | 375.101i | −0.938296 | − | 0.787324i | 0.0389918 | − | 0.999240i | \(-0.487585\pi\) |
−0.977288 | + | 0.211916i | \(0.932030\pi\) | |||||||
\(62\) | 495.875 | + | 180.484i | 1.01575 | + | 0.369701i | ||||
\(63\) | 114.379 | + | 198.111i | 0.228737 | + | 0.396185i | ||||
\(64\) | −32.0000 | + | 55.4256i | −0.0625000 | + | 0.108253i | ||||
\(65\) | −1085.30 | + | 910.672i | −2.07099 | + | 1.73777i | ||||
\(66\) | −2.23449 | − | 3.87025i | −0.00416738 | − | 0.00721811i | ||||
\(67\) | −109.094 | + | 618.705i | −0.198925 | + | 1.12816i | 0.707791 | + | 0.706422i | \(0.249692\pi\) |
−0.906717 | + | 0.421741i | \(0.861419\pi\) | |||||||
\(68\) | 428.750 | 0.764611 | ||||||||
\(69\) | −64.2033 | + | 364.115i | −0.112017 | + | 0.635280i | ||||
\(70\) | 267.646 | + | 224.581i | 0.456997 | + | 0.383466i | ||||
\(71\) | 337.267 | − | 122.755i | 0.563750 | − | 0.205188i | −0.0443950 | − | 0.999014i | \(-0.514136\pi\) |
0.608145 | + | 0.793826i | \(0.291914\pi\) | |||||||
\(72\) | −177.832 | − | 64.7256i | −0.291079 | − | 0.105944i | ||||
\(73\) | −95.8658 | −0.153702 | −0.0768510 | − | 0.997043i | \(-0.524487\pi\) | ||||
−0.0768510 | + | 0.997043i | \(0.524487\pi\) | |||||||
\(74\) | −378.529 | + | 243.574i | −0.594636 | + | 0.382633i | ||||
\(75\) | 368.196 | 0.566875 | ||||||||
\(76\) | −465.195 | − | 169.317i | −0.702125 | − | 0.255553i | ||||
\(77\) | 11.1032 | − | 4.04125i | 0.0164329 | − | 0.00598108i | ||||
\(78\) | −219.738 | − | 184.382i | −0.318980 | − | 0.267656i | ||||
\(79\) | −88.4514 | + | 501.633i | −0.125969 | + | 0.714406i | 0.854758 | + | 0.519026i | \(0.173705\pi\) |
−0.980728 | + | 0.195380i | \(0.937406\pi\) | |||||||
\(80\) | −289.036 | −0.403940 | ||||||||
\(81\) | 81.4912 | − | 462.160i | 0.111785 | − | 0.633964i | ||||
\(82\) | −64.2836 | − | 111.343i | −0.0865725 | − | 0.149948i | ||||
\(83\) | 267.662 | − | 224.595i | 0.353972 | − | 0.297018i | −0.448411 | − | 0.893828i | \(-0.648010\pi\) |
0.802383 | + | 0.596810i | \(0.203565\pi\) | |||||||
\(84\) | −35.3698 | + | 61.2623i | −0.0459424 | + | 0.0795746i | ||||
\(85\) | 968.157 | + | 1676.90i | 1.23543 | + | 2.13982i | ||||
\(86\) | 243.242 | + | 88.5329i | 0.304994 | + | 0.111009i | ||||
\(87\) | 109.318 | + | 91.7288i | 0.134714 | + | 0.113039i | ||||
\(88\) | −4.88743 | + | 8.46527i | −0.00592047 | + | 0.0102546i | ||||
\(89\) | −69.6582 | − | 395.051i | −0.0829635 | − | 0.470510i | −0.997777 | − | 0.0666340i | \(-0.978774\pi\) |
0.914814 | − | 0.403876i | \(-0.132337\pi\) | |||||||
\(90\) | −148.411 | − | 841.681i | −0.173821 | − | 0.985789i | ||||
\(91\) | 580.979 | − | 487.499i | 0.669265 | − | 0.561580i | ||||
\(92\) | 759.932 | − | 276.593i | 0.861178 | − | 0.313443i | ||||
\(93\) | −453.421 | + | 165.032i | −0.505565 | + | 0.184011i | ||||
\(94\) | 97.2543 | − | 81.6060i | 0.106713 | − | 0.0895427i | ||||
\(95\) | −388.232 | − | 2201.77i | −0.419282 | − | 2.37787i | ||||
\(96\) | −10.1620 | − | 57.6315i | −0.0108037 | − | 0.0612708i | ||||
\(97\) | −275.784 | + | 477.672i | −0.288676 | + | 0.500002i | −0.973494 | − | 0.228712i | \(-0.926548\pi\) |
0.684818 | + | 0.728714i | \(0.259882\pi\) | |||||||
\(98\) | 382.231 | + | 320.730i | 0.393991 | + | 0.330598i | ||||
\(99\) | −27.1606 | − | 9.88567i | −0.0275732 | − | 0.0100358i | ||||
\(100\) | −402.671 | − | 697.447i | −0.402671 | − | 0.697447i | ||||
\(101\) | 508.181 | − | 880.195i | 0.500652 | − | 0.867155i | −0.499347 | − | 0.866402i | \(-0.666427\pi\) |
1.00000 | 0.000753358i | \(-0.000239801\pi\) | ||||||||
\(102\) | −300.321 | + | 252.000i | −0.291532 | + | 0.244624i | ||||
\(103\) | −929.779 | − | 1610.42i | −0.889455 | − | 1.54058i | −0.840521 | − | 0.541779i | \(-0.817751\pi\) |
−0.0489343 | − | 0.998802i | \(-0.515582\pi\) | |||||||
\(104\) | −108.949 | + | 617.879i | −0.102724 | + | 0.582578i | ||||
\(105\) | −319.473 | −0.296928 | ||||||||
\(106\) | −119.207 | + | 676.055i | −0.109230 | + | 0.619474i | ||||
\(107\) | −900.855 | − | 755.907i | −0.813915 | − | 0.682956i | 0.137623 | − | 0.990485i | \(-0.456054\pi\) |
−0.951539 | + | 0.307529i | \(0.900498\pi\) | |||||||
\(108\) | 348.203 | − | 126.735i | 0.310239 | − | 0.112918i | ||||
\(109\) | 271.276 | + | 98.7364i | 0.238381 | + | 0.0867636i | 0.458448 | − | 0.888721i | \(-0.348405\pi\) |
−0.220067 | + | 0.975485i | \(0.570628\pi\) | |||||||
\(110\) | −44.1451 | −0.0382643 | ||||||||
\(111\) | 121.982 | − | 393.095i | 0.104307 | − | 0.336135i | ||||
\(112\) | 154.726 | 0.130538 | ||||||||
\(113\) | −798.084 | − | 290.479i | −0.664402 | − | 0.241823i | −0.0122664 | − | 0.999925i | \(-0.503905\pi\) |
−0.652136 | + | 0.758102i | \(0.726127\pi\) | |||||||
\(114\) | 425.367 | − | 154.821i | 0.349467 | − | 0.127196i | ||||
\(115\) | 2797.79 | + | 2347.62i | 2.26865 | + | 1.90363i | ||||
\(116\) | 54.2013 | − | 307.391i | 0.0433833 | − | 0.246039i | ||||
\(117\) | −1855.22 | −1.46594 | ||||||||
\(118\) | −59.9986 | + | 340.269i | −0.0468078 | + | 0.265460i | ||||
\(119\) | −518.272 | − | 897.673i | −0.399243 | − | 0.691509i | ||||
\(120\) | 202.458 | − | 169.882i | 0.154015 | − | 0.129234i | ||||
\(121\) | 664.754 | − | 1151.39i | 0.499439 | − | 0.865054i | ||||
\(122\) | −583.554 | − | 1010.74i | −0.433053 | − | 0.750070i | ||||
\(123\) | 110.470 | + | 40.2078i | 0.0809818 | + | 0.0294750i | ||||
\(124\) | 808.483 | + | 678.398i | 0.585515 | + | 0.491306i | ||||
\(125\) | 689.492 | − | 1194.23i | 0.493360 | − | 0.854525i | ||||
\(126\) | 79.4471 | + | 450.567i | 0.0561723 | + | 0.318569i | ||||
\(127\) | 18.3879 | + | 104.283i | 0.0128477 | + | 0.0728630i | 0.990558 | − | 0.137098i | \(-0.0437775\pi\) |
−0.977710 | + | 0.209961i | \(0.932666\pi\) | |||||||
\(128\) | −98.0537 | + | 82.2768i | −0.0677094 | + | 0.0568149i | ||||
\(129\) | −222.417 | + | 80.9531i | −0.151804 | + | 0.0552521i | ||||
\(130\) | −2662.63 | + | 969.117i | −1.79637 | + | 0.653824i | ||||
\(131\) | 418.672 | − | 351.307i | 0.279233 | − | 0.234304i | −0.492405 | − | 0.870366i | \(-0.663882\pi\) |
0.771638 | + | 0.636062i | \(0.219438\pi\) | |||||||
\(132\) | −1.55206 | − | 8.80218i | −0.00102341 | − | 0.00580403i | ||||
\(133\) | 207.828 | + | 1178.65i | 0.135496 | + | 0.768435i | ||||
\(134\) | −628.250 | + | 1088.16i | −0.405019 | + | 0.701513i | ||||
\(135\) | 1281.95 | + | 1075.69i | 0.817282 | + | 0.685781i | ||||
\(136\) | 805.786 | + | 293.282i | 0.508055 | + | 0.184917i | ||||
\(137\) | 127.753 | + | 221.275i | 0.0796693 | + | 0.137991i | 0.903107 | − | 0.429415i | \(-0.141280\pi\) |
−0.823438 | + | 0.567406i | \(0.807947\pi\) | |||||||
\(138\) | −369.732 | + | 640.395i | −0.228070 | + | 0.395029i | ||||
\(139\) | 1293.12 | − | 1085.05i | 0.789071 | − | 0.662109i | −0.156445 | − | 0.987687i | \(-0.550003\pi\) |
0.945515 | + | 0.325578i | \(0.105559\pi\) | |||||||
\(140\) | 349.387 | + | 605.155i | 0.210918 | + | 0.365321i | ||||
\(141\) | −20.1583 | + | 114.323i | −0.0120400 | + | 0.0682820i | ||||
\(142\) | 717.825 | 0.424215 | ||||||||
\(143\) | −16.6400 | + | 94.3700i | −0.00973080 | + | 0.0551861i | ||||
\(144\) | −289.940 | − | 243.289i | −0.167789 | − | 0.140792i | ||||
\(145\) | 1324.64 | − | 482.129i | 0.758657 | − | 0.276129i | ||||
\(146\) | −180.169 | − | 65.5761i | −0.102129 | − | 0.0371720i | ||||
\(147\) | −456.248 | −0.255991 | ||||||||
\(148\) | −878.015 | + | 198.840i | −0.487651 | + | 0.110436i | ||||
\(149\) | −86.5562 | −0.0475904 | −0.0237952 | − | 0.999717i | \(-0.507575\pi\) | ||||
−0.0237952 | + | 0.999717i | \(0.507575\pi\) | |||||||
\(150\) | 691.982 | + | 251.861i | 0.376667 | + | 0.137096i | ||||
\(151\) | −2806.53 | + | 1021.49i | −1.51253 | + | 0.550517i | −0.959270 | − | 0.282491i | \(-0.908839\pi\) |
−0.553262 | + | 0.833007i | \(0.686617\pi\) | |||||||
\(152\) | −758.461 | − | 636.424i | −0.404732 | − | 0.339611i | ||||
\(153\) | −440.299 | + | 2497.06i | −0.232654 | + | 1.31945i | ||||
\(154\) | 23.6317 | 0.0123655 | ||||||||
\(155\) | −827.674 | + | 4693.97i | −0.428906 | + | 2.43244i | ||||
\(156\) | −286.847 | − | 496.834i | −0.147219 | − | 0.254991i | ||||
\(157\) | 1381.46 | − | 1159.18i | 0.702247 | − | 0.589255i | −0.220165 | − | 0.975463i | \(-0.570660\pi\) |
0.922412 | + | 0.386208i | \(0.126215\pi\) | |||||||
\(158\) | −509.371 | + | 882.257i | −0.256477 | + | 0.444232i | ||||
\(159\) | −313.855 | − | 543.613i | −0.156543 | − | 0.271140i | ||||
\(160\) | −543.210 | − | 197.712i | −0.268403 | − | 0.0976908i | ||||
\(161\) | −1497.71 | − | 1256.72i | −0.733142 | − | 0.615179i | ||||
\(162\) | 469.289 | − | 812.833i | 0.227598 | − | 0.394211i | ||||
\(163\) | −176.039 | − | 998.366i | −0.0845916 | − | 0.479743i | −0.997444 | − | 0.0714530i | \(-0.977236\pi\) |
0.912852 | − | 0.408290i | \(-0.133875\pi\) | |||||||
\(164\) | −44.6510 | − | 253.228i | −0.0212601 | − | 0.120572i | ||||
\(165\) | 30.9218 | − | 25.9465i | 0.0145895 | − | 0.0122420i | ||||
\(166\) | 656.672 | − | 239.009i | 0.307034 | − | 0.111751i | ||||
\(167\) | 3064.57 | − | 1115.41i | 1.42002 | − | 0.516845i | 0.485966 | − | 0.873978i | \(-0.338468\pi\) |
0.934053 | + | 0.357133i | \(0.116246\pi\) | |||||||
\(168\) | −108.379 | + | 90.9411i | −0.0497717 | + | 0.0417634i | ||||
\(169\) | 686.553 | + | 3893.63i | 0.312496 | + | 1.77225i | ||||
\(170\) | 672.475 | + | 3813.80i | 0.303391 | + | 1.72062i | ||||
\(171\) | 1463.84 | − | 2535.44i | 0.654635 | − | 1.13386i | ||||
\(172\) | 396.586 | + | 332.775i | 0.175810 | + | 0.147522i | ||||
\(173\) | −2712.12 | − | 987.132i | −1.19190 | − | 0.433817i | −0.331510 | − | 0.943452i | \(-0.607558\pi\) |
−0.860391 | + | 0.509635i | \(0.829780\pi\) | |||||||
\(174\) | 142.705 | + | 247.172i | 0.0621748 | + | 0.107690i | ||||
\(175\) | −973.497 | + | 1686.15i | −0.420511 | + | 0.728346i | ||||
\(176\) | −14.9759 | + | 12.5663i | −0.00641394 | + | 0.00538194i | ||||
\(177\) | −157.968 | − | 273.609i | −0.0670826 | − | 0.116190i | ||||
\(178\) | 139.316 | − | 790.103i | 0.0586641 | − | 0.332701i | ||||
\(179\) | −743.305 | −0.310376 | −0.155188 | − | 0.987885i | \(-0.549598\pi\) | ||||
−0.155188 | + | 0.987885i | \(0.549598\pi\) | |||||||
\(180\) | 296.822 | − | 1683.36i | 0.122910 | − | 0.697058i | ||||
\(181\) | 877.491 | + | 736.302i | 0.360350 | + | 0.302370i | 0.804930 | − | 0.593369i | \(-0.202203\pi\) |
−0.444580 | + | 0.895739i | \(0.646647\pi\) | |||||||
\(182\) | 1425.35 | − | 518.786i | 0.580517 | − | 0.211291i | ||||
\(183\) | 1002.83 | + | 364.998i | 0.405087 | + | 0.147440i | ||||
\(184\) | 1617.40 | 0.648025 | ||||||||
\(185\) | −2760.33 | − | 2985.04i | −1.09699 | − | 1.18629i | ||||
\(186\) | −965.040 | −0.380431 | ||||||||
\(187\) | 123.069 | + | 44.7936i | 0.0481268 | + | 0.0175167i | ||||
\(188\) | 238.600 | − | 86.8433i | 0.0925622 | − | 0.0336899i | ||||
\(189\) | −686.253 | − | 575.834i | −0.264114 | − | 0.221618i | ||||
\(190\) | 776.464 | − | 4403.55i | 0.296477 | − | 1.68141i | ||||
\(191\) | 593.097 | 0.224686 | 0.112343 | − | 0.993670i | \(-0.464165\pi\) | ||||
0.112343 | + | 0.993670i | \(0.464165\pi\) | |||||||
\(192\) | 20.3240 | − | 115.263i | 0.00763936 | − | 0.0433250i | ||||
\(193\) | 662.809 | + | 1148.02i | 0.247202 | + | 0.428167i | 0.962748 | − | 0.270399i | \(-0.0871555\pi\) |
−0.715546 | + | 0.698565i | \(0.753822\pi\) | |||||||
\(194\) | −845.051 | + | 709.082i | −0.312738 | + | 0.262418i | ||||
\(195\) | 1295.46 | − | 2243.80i | 0.475742 | − | 0.824009i | ||||
\(196\) | 498.967 | + | 864.236i | 0.181839 | + | 0.314955i | ||||
\(197\) | −2964.98 | − | 1079.17i | −1.07232 | − | 0.390291i | −0.255274 | − | 0.966869i | \(-0.582166\pi\) |
−0.817042 | + | 0.576578i | \(0.804388\pi\) | |||||||
\(198\) | −44.2831 | − | 37.1580i | −0.0158943 | − | 0.0133369i | ||||
\(199\) | −2121.41 | + | 3674.39i | −0.755693 | + | 1.30890i | 0.189336 | + | 0.981912i | \(0.439366\pi\) |
−0.945029 | + | 0.326986i | \(0.893967\pi\) | |||||||
\(200\) | −279.692 | − | 1586.21i | −0.0988862 | − | 0.560812i | ||||
\(201\) | −199.508 | − | 1131.47i | −0.0700111 | − | 0.397053i | ||||
\(202\) | 1557.16 | − | 1306.61i | 0.542382 | − | 0.455112i | ||||
\(203\) | −709.103 | + | 258.092i | −0.245169 | + | 0.0892342i | ||||
\(204\) | −736.797 | + | 268.172i | −0.252873 | + | 0.0920383i | ||||
\(205\) | 889.583 | − | 746.449i | 0.303079 | − | 0.254313i | ||||
\(206\) | −645.818 | − | 3662.62i | −0.218428 | − | 1.23877i | ||||
\(207\) | 830.488 | + | 4709.93i | 0.278854 | + | 1.58146i | ||||
\(208\) | −627.411 | + | 1086.71i | −0.209150 | + | 0.362258i | ||||
\(209\) | −115.841 | − | 97.2024i | −0.0383393 | − | 0.0321705i | ||||
\(210\) | −600.414 | − | 218.533i | −0.197298 | − | 0.0718104i | ||||
\(211\) | −2310.28 | − | 4001.53i | −0.753774 | − | 1.30558i | −0.945981 | − | 0.324221i | \(-0.894898\pi\) |
0.192207 | − | 0.981354i | \(-0.438436\pi\) | |||||||
\(212\) | −686.484 | + | 1189.03i | −0.222396 | + | 0.385201i | ||||
\(213\) | −502.807 | + | 421.905i | −0.161745 | + | 0.135720i | ||||
\(214\) | −1175.98 | − | 2036.86i | −0.375647 | − | 0.650640i | ||||
\(215\) | −406.000 | + | 2302.54i | −0.128786 | + | 0.730380i | ||||
\(216\) | 741.099 | 0.233451 | ||||||||
\(217\) | 443.069 | − | 2512.77i | 0.138606 | − | 0.786072i | ||||
\(218\) | 442.292 | + | 371.127i | 0.137412 | + | 0.115302i | ||||
\(219\) | 164.743 | − | 59.9617i | 0.0508325 | − | 0.0185015i | ||||
\(220\) | −82.9656 | − | 30.1970i | −0.0254252 | − | 0.00925401i | ||||
\(221\) | 8406.32 | 2.55869 | ||||||||
\(222\) | 498.145 | − | 655.337i | 0.150600 | − | 0.198123i | ||||
\(223\) | −3601.27 | −1.08143 | −0.540715 | − | 0.841206i | \(-0.681846\pi\) | ||||
−0.540715 | + | 0.841206i | \(0.681846\pi\) | |||||||
\(224\) | 290.790 | + | 105.839i | 0.0867377 | + | 0.0315699i | ||||
\(225\) | 4475.49 | − | 1628.94i | 1.32607 | − | 0.482650i | ||||
\(226\) | −1301.21 | − | 1091.84i | −0.382987 | − | 0.321364i | ||||
\(227\) | 550.389 | − | 3121.41i | 0.160928 | − | 0.912666i | −0.792237 | − | 0.610214i | \(-0.791084\pi\) |
0.953165 | − | 0.302452i | \(-0.0978053\pi\) | |||||||
\(228\) | 905.332 | 0.262970 | ||||||||
\(229\) | −395.732 | + | 2244.31i | −0.114195 | + | 0.647633i | 0.872950 | + | 0.487809i | \(0.162204\pi\) |
−0.987146 | + | 0.159824i | \(0.948907\pi\) | |||||||
\(230\) | 3652.25 | + | 6325.89i | 1.04705 | + | 1.81355i | ||||
\(231\) | −16.5530 | + | 13.8896i | −0.00471475 | + | 0.00395615i | ||||
\(232\) | 312.133 | − | 540.630i | 0.0883299 | − | 0.152992i | ||||
\(233\) | 1972.75 | + | 3416.91i | 0.554675 | + | 0.960726i | 0.997929 | + | 0.0643295i | \(0.0204909\pi\) |
−0.443253 | + | 0.896396i | \(0.646176\pi\) | |||||||
\(234\) | −3486.68 | − | 1269.05i | −0.974066 | − | 0.354531i | ||||
\(235\) | 878.437 | + | 737.097i | 0.243842 | + | 0.204608i | ||||
\(236\) | −345.518 | + | 598.455i | −0.0953023 | + | 0.165068i | ||||
\(237\) | −161.757 | − | 917.370i | −0.0443344 | − | 0.251433i | ||||
\(238\) | −359.988 | − | 2041.59i | −0.0980443 | − | 0.556037i | ||||
\(239\) | 44.4387 | − | 37.2885i | 0.0120272 | − | 0.0100920i | −0.636754 | − | 0.771067i | \(-0.719723\pi\) |
0.648781 | + | 0.760975i | \(0.275279\pi\) | |||||||
\(240\) | 496.703 | − | 180.785i | 0.133592 | − | 0.0486234i | ||||
\(241\) | 3600.12 | − | 1310.34i | 0.962259 | − | 0.350234i | 0.187341 | − | 0.982295i | \(-0.440013\pi\) |
0.774918 | + | 0.632061i | \(0.217791\pi\) | |||||||
\(242\) | 2036.92 | − | 1709.18i | 0.541068 | − | 0.454010i | ||||
\(243\) | 583.359 | + | 3308.39i | 0.154002 | + | 0.873389i | ||||
\(244\) | −405.332 | − | 2298.75i | −0.106347 | − | 0.603125i | ||||
\(245\) | −2253.43 | + | 3903.06i | −0.587618 | + | 1.01778i | ||||
\(246\) | 180.112 | + | 151.132i | 0.0466810 | + | 0.0391700i | ||||
\(247\) | −9120.89 | − | 3319.73i | −2.34959 | − | 0.855180i | ||||
\(248\) | 1055.40 | + | 1828.00i | 0.270234 | + | 0.468058i | ||||
\(249\) | −319.493 | + | 553.378i | −0.0813134 | + | 0.140839i | ||||
\(250\) | 2112.73 | − | 1772.79i | 0.534482 | − | 0.448484i | ||||
\(251\) | −1324.36 | − | 2293.87i | −0.333041 | − | 0.576843i | 0.650066 | − | 0.759878i | \(-0.274741\pi\) |
−0.983106 | + | 0.183035i | \(0.941408\pi\) | |||||||
\(252\) | −158.894 | + | 901.134i | −0.0397198 | + | 0.225262i | ||||
\(253\) | 247.030 | 0.0613858 | ||||||||
\(254\) | −36.7758 | + | 208.566i | −0.00908471 | + | 0.0515219i | ||||
\(255\) | −2712.62 | − | 2276.16i | −0.666160 | − | 0.558974i | ||||
\(256\) | −240.561 | + | 87.5572i | −0.0587308 | + | 0.0213763i | ||||
\(257\) | 580.966 | + | 211.454i | 0.141010 | + | 0.0513236i | 0.411561 | − | 0.911382i | \(-0.364984\pi\) |
−0.270551 | + | 0.962706i | \(0.587206\pi\) | |||||||
\(258\) | −473.382 | −0.114231 | ||||||||
\(259\) | 1477.65 | + | 1597.94i | 0.354506 | + | 0.383364i | ||||
\(260\) | −5667.02 | −1.35174 | ||||||||
\(261\) | 1734.60 | + | 631.343i | 0.411376 | + | 0.149729i | ||||
\(262\) | 1027.15 | − | 373.854i | 0.242205 | − | 0.0881555i | ||||
\(263\) | −935.235 | − | 784.755i | −0.219274 | − | 0.183993i | 0.526533 | − | 0.850155i | \(-0.323492\pi\) |
−0.745807 | + | 0.666162i | \(0.767936\pi\) | |||||||
\(264\) | 3.10412 | − | 17.6044i | 0.000723658 | − | 0.00410407i | ||||
\(265\) | −6200.58 | −1.43735 | ||||||||
\(266\) | −415.655 | + | 2357.30i | −0.0958100 | + | 0.543366i | ||||
\(267\) | 366.801 | + | 635.318i | 0.0840744 | + | 0.145621i | ||||
\(268\) | −1925.07 | + | 1615.32i | −0.438777 | + | 0.368178i | ||||
\(269\) | 1854.61 | − | 3212.28i | 0.420362 | − | 0.728089i | −0.575612 | − | 0.817723i | \(-0.695236\pi\) |
0.995975 | + | 0.0896336i | \(0.0285696\pi\) | |||||||
\(270\) | 1673.47 | + | 2898.54i | 0.377201 | + | 0.653331i | ||||
\(271\) | −3644.83 | − | 1326.61i | −0.817003 | − | 0.297365i | −0.100489 | − | 0.994938i | \(-0.532041\pi\) |
−0.716513 | + | 0.697573i | \(0.754263\pi\) | |||||||
\(272\) | 1313.76 | + | 1102.38i | 0.292863 | + | 0.245741i | ||||
\(273\) | −693.481 | + | 1201.15i | −0.153741 | + | 0.266288i | ||||
\(274\) | 88.7364 | + | 503.249i | 0.0195648 | + | 0.110958i | ||||
\(275\) | −42.7180 | − | 242.266i | −0.00936724 | − | 0.0531243i | ||||
\(276\) | −1132.93 | + | 950.637i | −0.247080 | + | 0.207325i | ||||
\(277\) | 2857.95 | − | 1040.21i | 0.619918 | − | 0.225632i | −0.0129191 | − | 0.999917i | \(-0.504112\pi\) |
0.632837 | + | 0.774285i | \(0.281890\pi\) | |||||||
\(278\) | 3172.49 | − | 1154.69i | 0.684436 | − | 0.249114i | ||||
\(279\) | −4781.29 | + | 4011.98i | −1.02598 | + | 0.860899i | ||||
\(280\) | 242.681 | + | 1376.31i | 0.0517964 | + | 0.293752i | ||||
\(281\) | 801.068 | + | 4543.08i | 0.170063 | + | 0.964475i | 0.943689 | + | 0.330833i | \(0.107330\pi\) |
−0.773626 | + | 0.633642i | \(0.781559\pi\) | |||||||
\(282\) | −116.087 | + | 201.068i | −0.0245137 | + | 0.0424591i | ||||
\(283\) | 4674.21 | + | 3922.13i | 0.981812 | + | 0.823838i | 0.984362 | − | 0.176159i | \(-0.0563671\pi\) |
−0.00254966 | + | 0.999997i | \(0.500812\pi\) | |||||||
\(284\) | 1349.07 | + | 491.021i | 0.281875 | + | 0.102594i | ||||
\(285\) | 2044.33 | + | 3540.87i | 0.424896 | + | 0.735941i | ||||
\(286\) | −95.8258 | + | 165.975i | −0.0198122 | + | 0.0343158i | ||||
\(287\) | −476.210 | + | 399.588i | −0.0979435 | + | 0.0821843i | ||||
\(288\) | −378.490 | − | 655.563i | −0.0774400 | − | 0.134130i | ||||
\(289\) | 1141.93 | − | 6476.23i | 0.232431 | − | 1.31818i | ||||
\(290\) | 2819.30 | 0.570880 | ||||||||
\(291\) | 175.157 | − | 993.365i | 0.0352848 | − | 0.200110i | ||||
\(292\) | −293.750 | − | 246.485i | −0.0588713 | − | 0.0493988i | ||||
\(293\) | −454.249 | + | 165.333i | −0.0905717 | + | 0.0329654i | −0.386909 | − | 0.922118i | \(-0.626457\pi\) |
0.296337 | + | 0.955083i | \(0.404235\pi\) | |||||||
\(294\) | −857.465 | − | 312.092i | −0.170097 | − | 0.0619101i | ||||
\(295\) | −3120.85 | −0.615943 | ||||||||
\(296\) | −1786.14 | − | 226.901i | −0.350735 | − | 0.0445553i | ||||
\(297\) | 113.190 | 0.0221142 | ||||||||
\(298\) | −162.673 | − | 59.2079i | −0.0316220 | − | 0.0115095i | ||||
\(299\) | 14899.7 | − | 5423.04i | 2.88184 | − | 1.04890i | ||||
\(300\) | 1128.22 | + | 946.687i | 0.217126 | + | 0.182190i | ||||
\(301\) | 217.339 | − | 1232.59i | 0.0416186 | − | 0.236031i | ||||
\(302\) | −5973.30 | −1.13816 | ||||||||
\(303\) | −322.758 | + | 1830.45i | −0.0611946 | + | 0.347052i | ||||
\(304\) | −990.100 | − | 1714.90i | −0.186796 | − | 0.323541i | ||||
\(305\) | 8075.45 | − | 6776.11i | 1.51606 | − | 1.27213i | ||||
\(306\) | −2535.58 | + | 4391.76i | −0.473692 | + | 0.820458i | ||||
\(307\) | 199.012 | + | 344.699i | 0.0369975 | + | 0.0640815i | 0.883931 | − | 0.467617i | \(-0.154887\pi\) |
−0.846934 | + | 0.531698i | \(0.821554\pi\) | |||||||
\(308\) | 44.4130 | + | 16.1650i | 0.00821644 | + | 0.00299054i | ||||
\(309\) | 2605.09 | + | 2185.93i | 0.479606 | + | 0.402437i | ||||
\(310\) | −4766.38 | + | 8255.62i | −0.873266 | + | 1.51254i | ||||
\(311\) | 331.079 | + | 1877.64i | 0.0603659 | + | 0.342352i | 1.00000 | 0.000171059i | \(5.44497e-5\pi\) | |
−0.939634 | + | 0.342181i | \(0.888834\pi\) | |||||||
\(312\) | −199.242 | − | 1129.96i | −0.0361534 | − | 0.205036i | ||||
\(313\) | −3722.24 | + | 3123.33i | −0.672184 | + | 0.564029i | −0.913711 | − | 0.406365i | \(-0.866796\pi\) |
0.241527 | + | 0.970394i | \(0.422352\pi\) | |||||||
\(314\) | 3389.23 | − | 1233.58i | 0.609125 | − | 0.221703i | ||||
\(315\) | −3883.26 | + | 1413.39i | −0.694593 | + | 0.252811i | ||||
\(316\) | −1560.80 | + | 1309.67i | −0.277855 | + | 0.233148i | ||||
\(317\) | 1325.51 | + | 7517.33i | 0.234852 | + | 1.33191i | 0.842926 | + | 0.538030i | \(0.180831\pi\) |
−0.608074 | + | 0.793880i | \(0.708058\pi\) | |||||||
\(318\) | −218.001 | − | 1236.35i | −0.0384431 | − | 0.218022i | ||||
\(319\) | 47.6727 | − | 82.5715i | 0.00836727 | − | 0.0144925i | ||||
\(320\) | −885.658 | − | 743.155i | −0.154718 | − | 0.129824i | ||||
\(321\) | 2020.90 | + | 735.548i | 0.351389 | + | 0.127895i | ||||
\(322\) | −1955.12 | − | 3386.36i | −0.338368 | − | 0.586070i | ||||
\(323\) | −6632.89 | + | 11488.5i | −1.14261 | + | 1.97906i | ||||
\(324\) | 1437.99 | − | 1206.61i | 0.246568 | − | 0.206895i | ||||
\(325\) | −7895.01 | − | 13674.6i | −1.34750 | − | 2.33393i | ||||
\(326\) | 352.078 | − | 1996.73i | 0.0598153 | − | 0.339229i | ||||
\(327\) | −527.940 | −0.0892817 | ||||||||
\(328\) | 89.3019 | − | 506.456i | 0.0150331 | − | 0.0852572i | ||||
\(329\) | −470.243 | − | 394.581i | −0.0788005 | − | 0.0661214i | ||||
\(330\) | 75.8624 | − | 27.6117i | 0.0126548 | − | 0.00460598i | ||||
\(331\) | 1242.05 | + | 452.068i | 0.206251 | + | 0.0750692i | 0.443080 | − | 0.896482i | \(-0.353886\pi\) |
−0.236829 | + | 0.971551i | \(0.576108\pi\) | |||||||
\(332\) | 1397.63 | 0.231039 | ||||||||
\(333\) | −256.387 | − | 5317.81i | −0.0421919 | − | 0.875117i | ||||
\(334\) | 6522.48 | 1.06855 | ||||||||
\(335\) | −10664.7 | − | 3881.65i | −1.73933 | − | 0.633066i | ||||
\(336\) | −265.894 | + | 96.7775i | −0.0431717 | + | 0.0157132i | ||||
\(337\) | 5690.65 | + | 4775.02i | 0.919850 | + | 0.771846i | 0.973967 | − | 0.226689i | \(-0.0727901\pi\) |
−0.0541175 | + | 0.998535i | \(0.517235\pi\) | |||||||
\(338\) | −1373.11 | + | 7787.27i | −0.220968 | + | 1.25317i | ||||
\(339\) | 1553.18 | 0.248841 | ||||||||
\(340\) | −1344.95 | + | 7627.59i | −0.214530 | + | 1.21666i | ||||
\(341\) | 161.193 | + | 279.195i | 0.0255986 | + | 0.0443380i | ||||
\(342\) | 4485.46 | − | 3763.75i | 0.709199 | − | 0.595088i | ||||
\(343\) | 2864.77 | − | 4961.93i | 0.450971 | − | 0.781106i | ||||
\(344\) | 517.706 | + | 896.693i | 0.0811420 | + | 0.140542i | ||||
\(345\) | −6276.32 | − | 2284.40i | −0.979438 | − | 0.356486i | ||||
\(346\) | −4421.89 | − | 3710.40i | −0.687058 | − | 0.576510i | ||||
\(347\) | 2877.88 | − | 4984.63i | 0.445224 | − | 0.771150i | −0.552844 | − | 0.833285i | \(-0.686458\pi\) |
0.998068 | + | 0.0621347i | \(0.0197908\pi\) | |||||||
\(348\) | 99.1216 | + | 562.147i | 0.0152686 | + | 0.0865926i | ||||
\(349\) | −1903.52 | − | 10795.4i | −0.291957 | − | 1.65577i | −0.679319 | − | 0.733843i | \(-0.737725\pi\) |
0.387362 | − | 0.921928i | \(-0.373387\pi\) | |||||||
\(350\) | −2982.97 | + | 2503.01i | −0.455561 | + | 0.382261i | ||||
\(351\) | 6827.07 | − | 2484.85i | 1.03818 | − | 0.377867i | ||||
\(352\) | −36.7414 | + | 13.3728i | −0.00556342 | + | 0.00202492i | ||||
\(353\) | −510.711 | + | 428.537i | −0.0770040 | + | 0.0646140i | −0.680477 | − | 0.732769i | \(-0.738227\pi\) |
0.603473 | + | 0.797383i | \(0.293783\pi\) | |||||||
\(354\) | −109.724 | − | 622.273i | −0.0164739 | − | 0.0934279i | ||||
\(355\) | 1125.88 | + | 6385.17i | 0.168325 | + | 0.954618i | ||||
\(356\) | 802.291 | − | 1389.61i | 0.119442 | − | 0.206880i | ||||
\(357\) | 1452.11 | + | 1218.47i | 0.215277 | + | 0.180639i | ||||
\(358\) | −1396.96 | − | 508.451i | −0.206233 | − | 0.0750627i | ||||
\(359\) | −1399.32 | − | 2423.69i | −0.205719 | − | 0.356316i | 0.744643 | − | 0.667463i | \(-0.232620\pi\) |
−0.950362 | + | 0.311148i | \(0.899287\pi\) | |||||||
\(360\) | 1709.33 | − | 2960.65i | 0.250249 | − | 0.433444i | ||||
\(361\) | 6479.33 | − | 5436.80i | 0.944646 | − | 0.792652i | ||||
\(362\) | 1145.48 | + | 1984.03i | 0.166313 | + | 0.288062i | ||||
\(363\) | −422.201 | + | 2394.42i | −0.0610463 | + | 0.346211i | ||||
\(364\) | 3033.66 | 0.436832 | ||||||||
\(365\) | 300.723 | − | 1705.48i | 0.0431248 | − | 0.244573i | ||||
\(366\) | 1635.02 | + | 1371.95i | 0.233508 | + | 0.195936i | ||||
\(367\) | 11780.6 | − | 4287.79i | 1.67559 | − | 0.609866i | 0.682897 | − | 0.730515i | \(-0.260720\pi\) |
0.992695 | + | 0.120649i | \(0.0384977\pi\) | |||||||
\(368\) | 3039.73 | + | 1106.37i | 0.430589 | + | 0.156722i | ||||
\(369\) | 1520.67 | 0.214533 | ||||||||
\(370\) | −3145.84 | − | 7498.21i | −0.442012 | − | 1.05355i | ||||
\(371\) | 3319.28 | 0.464498 | ||||||||
\(372\) | −1813.68 | − | 660.126i | −0.252782 | − | 0.0920053i | ||||
\(373\) | −5731.77 | + | 2086.19i | −0.795656 | + | 0.289595i | −0.707685 | − | 0.706528i | \(-0.750261\pi\) |
−0.0879710 | + | 0.996123i | \(0.528038\pi\) | |||||||
\(374\) | 200.654 | + | 168.369i | 0.0277422 | + | 0.0232784i | ||||
\(375\) | −437.913 | + | 2483.53i | −0.0603033 | + | 0.341997i | ||||
\(376\) | 507.826 | 0.0696519 | ||||||||
\(377\) | 1062.70 | − | 6026.89i | 0.145178 | − | 0.823344i | ||||
\(378\) | −895.839 | − | 1551.64i | −0.121897 | − | 0.211131i | ||||
\(379\) | −7083.61 | + | 5943.86i | −0.960055 | + | 0.805582i | −0.980962 | − | 0.194200i | \(-0.937789\pi\) |
0.0209070 | + | 0.999781i | \(0.493345\pi\) | |||||||
\(380\) | 4471.48 | − | 7744.83i | 0.603637 | − | 1.04553i | ||||
\(381\) | −96.8256 | − | 167.707i | −0.0130197 | − | 0.0225509i | ||||
\(382\) | 1114.66 | + | 405.702i | 0.149295 | + | 0.0543391i | ||||
\(383\) | −4007.34 | − | 3362.56i | −0.534636 | − | 0.448613i | 0.335063 | − | 0.942196i | \(-0.391242\pi\) |
−0.869699 | + | 0.493583i | \(0.835687\pi\) | |||||||
\(384\) | 117.041 | − | 202.721i | 0.0155540 | − | 0.0269403i | ||||
\(385\) | 37.0652 | + | 210.207i | 0.00490654 | + | 0.0278264i | ||||
\(386\) | 460.382 | + | 2610.96i | 0.0607068 | + | 0.344286i | ||||
\(387\) | −2345.37 | + | 1968.00i | −0.308067 | + | 0.258499i | ||||
\(388\) | −2073.22 | + | 754.589i | −0.271267 | + | 0.0987331i | ||||
\(389\) | −13082.8 | + | 4761.77i | −1.70521 | + | 0.620646i | −0.996402 | − | 0.0847553i | \(-0.972989\pi\) |
−0.708808 | + | 0.705401i | \(0.750767\pi\) | |||||||
\(390\) | 3969.51 | − | 3330.82i | 0.515395 | − | 0.432468i | ||||
\(391\) | −3763.07 | − | 21341.5i | −0.486718 | − | 2.76032i | ||||
\(392\) | 346.579 | + | 1965.55i | 0.0446553 | + | 0.253253i | ||||
\(393\) | −499.745 | + | 865.584i | −0.0641445 | + | 0.111102i | ||||
\(394\) | −4834.15 | − | 4056.34i | −0.618125 | − | 0.518668i | ||||
\(395\) | −8646.74 | − | 3147.16i | −1.10143 | − | 0.400888i | ||||
\(396\) | −57.8075 | − | 100.126i | −0.00733570 | − | 0.0127058i | ||||
\(397\) | −3641.86 | + | 6307.88i | −0.460402 | + | 0.797439i | −0.998981 | − | 0.0451358i | \(-0.985628\pi\) |
0.538579 | + | 0.842575i | \(0.318961\pi\) | |||||||
\(398\) | −6500.38 | + | 5454.47i | −0.818680 | + | 0.686954i | ||||
\(399\) | −1094.36 | − | 1895.49i | −0.137310 | − | 0.237828i | ||||
\(400\) | 559.385 | − | 3172.43i | 0.0699231 | − | 0.396554i | ||||
\(401\) | 11563.3 | 1.44000 | 0.720002 | − | 0.693972i | \(-0.244141\pi\) | ||||
0.720002 | + | 0.693972i | \(0.244141\pi\) | |||||||
\(402\) | 399.017 | − | 2262.94i | 0.0495054 | − | 0.280759i | ||||
\(403\) | 15851.6 | + | 13301.1i | 1.95937 | + | 1.64410i | ||||
\(404\) | 3820.27 | − | 1390.46i | 0.470459 | − | 0.171233i | ||||
\(405\) | 7966.33 | + | 2899.51i | 0.977408 | + | 0.355748i | ||||
\(406\) | −1509.22 | −0.184486 | ||||||||
\(407\) | −272.801 | − | 34.6551i | −0.0332242 | − | 0.00422061i | ||||
\(408\) | −1568.17 | −0.190284 | ||||||||
\(409\) | −6331.10 | − | 2304.33i | −0.765411 | − | 0.278587i | −0.0703351 | − | 0.997523i | \(-0.522407\pi\) |
−0.695076 | + | 0.718937i | \(0.744629\pi\) | |||||||
\(410\) | 2182.47 | − | 794.355i | 0.262889 | − | 0.0956838i | ||||
\(411\) | −357.943 | − | 300.350i | −0.0429587 | − | 0.0360467i | ||||
\(412\) | 1291.64 | − | 7325.23i | 0.154452 | − | 0.875942i | ||||
\(413\) | 1670.65 | 0.199049 | ||||||||
\(414\) | −1660.98 | + | 9419.86i | −0.197180 | + | 1.11826i | ||||
\(415\) | 3155.98 | + | 5466.32i | 0.373304 | + | 0.646581i | ||||
\(416\) | −1922.50 | + | 1613.17i | −0.226582 | + | 0.190125i | ||||
\(417\) | −1543.52 | + | 2673.46i | −0.181263 | + | 0.313956i | ||||
\(418\) | −151.220 | − | 261.921i | −0.0176948 | − | 0.0306482i | ||||
\(419\) | 7572.69 | + | 2756.23i | 0.882935 | + | 0.321362i | 0.743394 | − | 0.668854i | \(-0.233215\pi\) |
0.139542 | + | 0.990216i | \(0.455437\pi\) | |||||||
\(420\) | −978.923 | − | 821.414i | −0.113730 | − | 0.0954307i | ||||
\(421\) | 1057.09 | − | 1830.93i | 0.122374 | − | 0.211958i | −0.798329 | − | 0.602221i | \(-0.794283\pi\) |
0.920703 | + | 0.390263i | \(0.127616\pi\) | |||||||
\(422\) | −1604.71 | − | 9100.74i | −0.185109 | − | 1.04980i | ||||
\(423\) | 260.753 | + | 1478.80i | 0.0299722 | + | 0.169981i | ||||
\(424\) | −2103.51 | + | 1765.05i | −0.240933 | + | 0.202166i | ||||
\(425\) | −20279.2 | + | 7381.01i | −2.31455 | + | 0.842427i | ||||
\(426\) | −1233.57 | + | 448.982i | −0.140297 | + | 0.0510640i | ||||
\(427\) | −4322.93 | + | 3627.37i | −0.489933 | + | 0.411103i | ||||
\(428\) | −816.829 | − | 4632.47i | −0.0922498 | − | 0.523175i | ||||
\(429\) | −30.4307 | − | 172.581i | −0.00342472 | − | 0.0194226i | ||||
\(430\) | −2338.06 | + | 4049.64i | −0.262212 | + | 0.454165i | ||||
\(431\) | 237.500 | + | 199.286i | 0.0265428 | + | 0.0222721i | 0.655963 | − | 0.754793i | \(-0.272263\pi\) |
−0.629420 | + | 0.777066i | \(0.716707\pi\) | |||||||
\(432\) | 1392.81 | + | 506.941i | 0.155119 | + | 0.0564589i | ||||
\(433\) | 5348.81 | + | 9264.41i | 0.593643 | + | 1.02822i | 0.993737 | + | 0.111746i | \(0.0356442\pi\) |
−0.400094 | + | 0.916474i | \(0.631022\pi\) | |||||||
\(434\) | 2551.53 | − | 4419.38i | 0.282206 | − | 0.488795i | ||||
\(435\) | −1974.81 | + | 1657.06i | −0.217666 | + | 0.182643i | ||||
\(436\) | 577.372 | + | 1000.04i | 0.0634199 | + | 0.109847i | ||||
\(437\) | −4344.98 | + | 24641.6i | −0.475626 | + | 2.69741i | ||||
\(438\) | 350.633 | 0.0382508 | ||||||||
\(439\) | 664.126 | − | 3766.45i | 0.0722027 | − | 0.409482i | −0.927189 | − | 0.374595i | \(-0.877782\pi\) |
0.999391 | − | 0.0348870i | \(-0.0111071\pi\) | |||||||
\(440\) | −135.268 | − | 113.504i | −0.0146561 | − | 0.0122979i | ||||
\(441\) | −5545.77 | + | 2018.50i | −0.598831 | + | 0.217957i | ||||
\(442\) | 15798.7 | + | 5750.26i | 1.70015 | + | 0.618806i | ||||
\(443\) | 3664.59 | 0.393025 | 0.196512 | − | 0.980501i | \(-0.437038\pi\) | ||||
0.196512 | + | 0.980501i | \(0.437038\pi\) | |||||||
\(444\) | 1384.48 | − | 890.879i | 0.147983 | − | 0.0952235i | ||||
\(445\) | 7246.60 | 0.771959 | ||||||||
\(446\) | −6768.18 | − | 2463.42i | −0.718571 | − | 0.261538i | ||||
\(447\) | 148.745 | − | 54.1388i | 0.0157392 | − | 0.00572859i | ||||
\(448\) | 474.109 | + | 397.824i | 0.0499989 | + | 0.0419541i | ||||
\(449\) | −2206.60 | + | 12514.2i | −0.231928 | + | 1.31533i | 0.617059 | + | 0.786917i | \(0.288324\pi\) |
−0.848987 | + | 0.528413i | \(0.822787\pi\) | |||||||
\(450\) | 9525.43 | 0.997851 | ||||||||
\(451\) | 13.6393 | − | 77.3521i | 0.00142405 | − | 0.00807621i | ||||
\(452\) | −1698.61 | − | 2942.07i | −0.176761 | − | 0.306158i | ||||
\(453\) | 4184.05 | − | 3510.83i | 0.433960 | − | 0.364135i | ||||
\(454\) | 3169.56 | − | 5489.84i | 0.327654 | − | 0.567513i | ||||
\(455\) | 6850.28 | + | 11865.0i | 0.705816 | + | 1.22251i | ||||
\(456\) | 1701.47 | + | 619.283i | 0.174734 | + | 0.0635978i | ||||
\(457\) | 2441.22 | + | 2048.43i | 0.249881 | + | 0.209675i | 0.759121 | − | 0.650950i | \(-0.225629\pi\) |
−0.509240 | + | 0.860624i | \(0.670074\pi\) | |||||||
\(458\) | −2278.93 | + | 3947.22i | −0.232505 | + | 0.402711i | ||||
\(459\) | −1724.25 | − | 9778.70i | −0.175340 | − | 0.994403i | ||||
\(460\) | 2536.83 | + | 14387.1i | 0.257131 | + | 1.45826i | ||||
\(461\) | 4861.74 | − | 4079.48i | 0.491180 | − | 0.412149i | −0.363269 | − | 0.931684i | \(-0.618339\pi\) |
0.854449 | + | 0.519536i | \(0.173895\pi\) | |||||||
\(462\) | −40.6105 | + | 14.7810i | −0.00408955 | + | 0.00148847i | ||||
\(463\) | −14961.0 | + | 5445.36i | −1.50172 | + | 0.546581i | −0.956505 | − | 0.291715i | \(-0.905774\pi\) |
−0.545215 | + | 0.838296i | \(0.683552\pi\) | |||||||
\(464\) | 956.431 | − | 802.541i | 0.0956922 | − | 0.0802953i | ||||
\(465\) | −1513.62 | − | 8584.18i | −0.150952 | − | 0.856090i | ||||
\(466\) | 1370.26 | + | 7771.13i | 0.136215 | + | 0.772512i | ||||
\(467\) | −5017.12 | + | 8689.91i | −0.497141 | + | 0.861073i | −0.999995 | − | 0.00329861i | \(-0.998950\pi\) |
0.502854 | + | 0.864371i | \(0.332283\pi\) | |||||||
\(468\) | −5684.74 | − | 4770.06i | −0.561489 | − | 0.471146i | ||||
\(469\) | 5709.03 | + | 2077.92i | 0.562086 | + | 0.204583i | ||||
\(470\) | 1146.72 | + | 1986.17i | 0.112541 | + | 0.194926i | ||||
\(471\) | −1648.97 | + | 2856.11i | −0.161318 | + | 0.279411i | ||||
\(472\) | −1058.73 | + | 888.380i | −0.103246 | + | 0.0866335i | ||||
\(473\) | 79.0703 | + | 136.954i | 0.00768638 | + | 0.0133132i | ||||
\(474\) | 323.514 | − | 1834.74i | 0.0313491 | − | 0.177790i | ||||
\(475\) | 24917.8 | 2.40696 | ||||||||
\(476\) | 719.976 | − | 4083.19i | 0.0693278 | − | 0.393178i | ||||
\(477\) | −6219.97 | − | 5219.18i | −0.597050 | − | 0.500985i | ||||
\(478\) | 109.024 | − | 39.6816i | 0.0104323 | − | 0.00379706i | ||||
\(479\) | −11698.3 | − | 4257.82i | −1.11588 | − | 0.406148i | −0.282734 | − | 0.959198i | \(-0.591241\pi\) |
−0.833148 | + | 0.553051i | \(0.813464\pi\) | |||||||
\(480\) | 1057.16 | 0.100526 | ||||||||
\(481\) | −17214.9 | + | 3898.57i | −1.63187 | + | 0.369563i | ||||
\(482\) | 7662.34 | 0.724088 | ||||||||
\(483\) | 3359.83 | + | 1222.88i | 0.316517 | + | 0.115203i | ||||
\(484\) | 4997.31 | − | 1818.87i | 0.469319 | − | 0.170818i | ||||
\(485\) | −7632.82 | − | 6404.70i | −0.714615 | − | 0.599634i | ||||
\(486\) | −1166.72 | + | 6616.78i | −0.108896 | + | 0.617579i | ||||
\(487\) | −19737.0 | −1.83648 | −0.918242 | − | 0.396021i | \(-0.870391\pi\) | ||||
−0.918242 | + | 0.396021i | \(0.870391\pi\) | |||||||
\(488\) | 810.664 | − | 4597.50i | 0.0751989 | − | 0.426474i | ||||
\(489\) | 926.973 | + | 1605.56i | 0.0857243 | + | 0.148479i | ||||
\(490\) | −6904.91 | + | 5793.91i | −0.636596 | + | 0.534168i | ||||
\(491\) | 5822.70 | − | 10085.2i | 0.535183 | − | 0.926964i | −0.463972 | − | 0.885850i | \(-0.653576\pi\) |
0.999154 | − | 0.0411137i | \(-0.0130906\pi\) | |||||||
\(492\) | 235.120 | + | 407.239i | 0.0215448 | + | 0.0373166i | ||||
\(493\) | −7859.76 | − | 2860.72i | −0.718024 | − | 0.261339i | ||||
\(494\) | −14870.8 | − | 12478.1i | −1.35439 | − | 1.13647i | ||||
\(495\) | 261.070 | − | 452.186i | 0.0237055 | − | 0.0410591i | ||||
\(496\) | 733.073 | + | 4157.46i | 0.0663628 | + | 0.376362i | ||||
\(497\) | −602.702 | − | 3418.09i | −0.0543961 | − | 0.308496i | ||||
\(498\) | −978.983 | + | 821.464i | −0.0880909 | + | 0.0739170i | ||||
\(499\) | 773.245 | − | 281.438i | 0.0693691 | − | 0.0252483i | −0.307103 | − | 0.951676i | \(-0.599359\pi\) |
0.376472 | + | 0.926428i | \(0.377137\pi\) | |||||||
\(500\) | 5183.28 | − | 1886.56i | 0.463607 | − | 0.168739i | ||||
\(501\) | −4568.73 | + | 3833.62i | −0.407417 | + | 0.341863i | ||||
\(502\) | −919.894 | − | 5216.98i | −0.0817866 | − | 0.463835i | ||||
\(503\) | −3721.24 | − | 21104.2i | −0.329865 | − | 1.87075i | −0.473016 | − | 0.881054i | \(-0.656835\pi\) |
0.143152 | − | 0.989701i | \(-0.454276\pi\) | |||||||
\(504\) | −915.036 | + | 1584.89i | −0.0808709 | + | 0.140072i | ||||
\(505\) | 14064.8 | + | 11801.8i | 1.23936 | + | 1.03995i | ||||
\(506\) | 464.264 | + | 168.978i | 0.0407886 | + | 0.0148458i | ||||
\(507\) | −3615.20 | − | 6261.71i | −0.316680 | − | 0.548506i | ||||
\(508\) | −211.783 | + | 366.819i | −0.0184968 | + | 0.0320373i | ||||
\(509\) | 9753.61 | − | 8184.25i | 0.849354 | − | 0.712693i | −0.110293 | − | 0.993899i | \(-0.535179\pi\) |
0.959647 | + | 0.281206i | \(0.0907345\pi\) | |||||||
\(510\) | −3541.07 | − | 6133.31i | −0.307453 | − | 0.532525i | ||||
\(511\) | −160.982 | + | 912.975i | −0.0139363 | + | 0.0790365i | ||||
\(512\) | −512.000 | −0.0441942 | ||||||||
\(513\) | −1990.88 | + | 11290.9i | −0.171344 | + | 0.971741i | ||||
\(514\) | 947.215 | + | 794.808i | 0.0812838 | + | 0.0682052i | ||||
\(515\) | 31566.6 | − | 11489.3i | 2.70095 | − | 0.983066i | ||||
\(516\) | −889.667 | − | 323.812i | −0.0759020 | − | 0.0276261i | ||||
\(517\) | 77.5613 | 0.00659795 | ||||||||
\(518\) | 1684.02 | + | 4013.93i | 0.142841 | + | 0.340467i | ||||
\(519\) | 5278.16 | 0.446407 | ||||||||
\(520\) | −10650.5 | − | 3876.47i | −0.898184 | − | 0.326912i | ||||
\(521\) | 9078.46 | − | 3304.29i | 0.763406 | − | 0.277857i | 0.0691706 | − | 0.997605i | \(-0.477965\pi\) |
0.694236 | + | 0.719748i | \(0.255742\pi\) | |||||||
\(522\) | 2828.12 | + | 2373.07i | 0.237133 | + | 0.198978i | ||||
\(523\) | −3812.99 | + | 21624.5i | −0.318796 | + | 1.80798i | 0.231303 | + | 0.972882i | \(0.425701\pi\) |
−0.550099 | + | 0.835099i | \(0.685410\pi\) | |||||||
\(524\) | 2186.15 | 0.182256 | ||||||||
\(525\) | 618.292 | − | 3506.51i | 0.0513990 | − | 0.291498i | ||||
\(526\) | −1220.86 | − | 2114.60i | −0.101202 | − | 0.175287i | ||||
\(527\) | 21664.8 | − | 18178.9i | 1.79076 | − | 1.50263i | ||||
\(528\) | 17.8759 | − | 30.9620i | 0.00147339 | − | 0.00255199i | ||||
\(529\) | −14354.0 | − | 24861.8i | −1.17975 | − | 2.04338i | ||||
\(530\) | −11653.3 | − | 4241.45i | −0.955069 | − | 0.347617i | ||||
\(531\) | −3130.61 | − | 2626.90i | −0.255851 | − | 0.214685i | ||||
\(532\) | −2393.66 | + | 4145.95i | −0.195072 | + | 0.337875i | ||||
\(533\) | −875.453 | − | 4964.94i | −0.0711446 | − | 0.403481i | ||||
\(534\) | 254.777 | + | 1444.91i | 0.0206466 | + | 0.117093i | ||||
\(535\) | 16273.7 | − | 13655.3i | 1.31509 | − | 1.10349i | ||||
\(536\) | −4722.89 | + | 1718.99i | −0.380593 | + | 0.138525i | ||||
\(537\) | 1277.35 | − | 464.919i | 0.102648 | − | 0.0373608i | ||||
\(538\) | 5682.85 | − | 4768.48i | 0.455400 | − | 0.382126i | ||||
\(539\) | 52.9337 | + | 300.202i | 0.00423009 | + | 0.0239900i | ||||
\(540\) | 1162.38 | + | 6592.19i | 0.0926313 | + | 0.525338i | ||||
\(541\) | −5553.26 | + | 9618.53i | −0.441319 | + | 0.764386i | −0.997788 | − | 0.0664822i | \(-0.978822\pi\) |
0.556469 | + | 0.830868i | \(0.312156\pi\) | |||||||
\(542\) | −5942.59 | − | 4986.42i | −0.470952 | − | 0.395176i | ||||
\(543\) | −1968.49 | − | 716.472i | −0.155573 | − | 0.0566238i | ||||
\(544\) | 1715.00 | + | 2970.46i | 0.135165 | + | 0.234113i | ||||
\(545\) | −2607.52 | + | 4516.36i | −0.204943 | + | 0.354972i | ||||
\(546\) | −2124.95 | + | 1783.05i | −0.166556 | + | 0.139757i | ||||
\(547\) | −6933.08 | − | 12008.4i | −0.541932 | − | 0.938654i | −0.998793 | − | 0.0491159i | \(-0.984360\pi\) |
0.456861 | − | 0.889538i | \(-0.348974\pi\) | |||||||
\(548\) | −177.473 | + | 1006.50i | −0.0138344 | + | 0.0784589i | ||||
\(549\) | 13804.3 | 1.07314 | ||||||||
\(550\) | 85.4360 | − | 484.532i | 0.00662364 | − | 0.0375645i | ||||
\(551\) | 7398.14 | + | 6207.78i | 0.571999 | + | 0.479964i | ||||
\(552\) | −2779.48 | + | 1011.65i | −0.214316 | + | 0.0780046i | ||||
\(553\) | 4628.75 | + | 1684.73i | 0.355940 | + | 0.129551i | ||||
\(554\) | 6082.73 | 0.466481 | ||||||||
\(555\) | 6610.64 | + | 3403.21i | 0.505597 | + | 0.260285i | ||||
\(556\) | 6752.18 | 0.515029 | ||||||||
\(557\) | −22413.9 | − | 8157.99i | −1.70504 | − | 0.620584i | −0.708656 | − | 0.705554i | \(-0.750698\pi\) |
−0.996384 | + | 0.0849701i | \(0.972921\pi\) | |||||||
\(558\) | −11730.2 | + | 4269.46i | −0.889929 | + | 0.323908i | ||||
\(559\) | 7775.70 | + | 6524.59i | 0.588331 | + | 0.493668i | ||||
\(560\) | −485.363 | + | 2752.63i | −0.0366256 | + | 0.207714i | ||||
\(561\) | −239.509 | −0.0180251 | ||||||||
\(562\) | −1602.14 | + | 9086.17i | −0.120253 | + | 0.681987i | ||||
\(563\) | −8820.92 | − | 15278.3i | −0.660315 | − | 1.14370i | −0.980533 | − | 0.196356i | \(-0.937089\pi\) |
0.320217 | − | 0.947344i | \(-0.396244\pi\) | |||||||
\(564\) | −355.711 | + | 298.477i | −0.0265570 | + | 0.0222839i | ||||
\(565\) | 7671.23 | − | 13287.0i | 0.571206 | − | 0.989357i | ||||
\(566\) | 6101.75 | + | 10568.5i | 0.453137 | + | 0.784856i | ||||
\(567\) | −4264.52 | − | 1552.16i | −0.315861 | − | 0.114964i | ||||
\(568\) | 2199.54 | + | 1845.64i | 0.162484 | + | 0.136340i | ||||
\(569\) | −8216.64 | + | 14231.6i | −0.605377 | + | 1.04854i | 0.386615 | + | 0.922241i | \(0.373644\pi\) |
−0.991992 | + | 0.126302i | \(0.959689\pi\) | |||||||
\(570\) | 1419.97 | + | 8053.07i | 0.104344 | + | 0.591765i | ||||
\(571\) | 1427.89 | + | 8097.96i | 0.104650 | + | 0.593501i | 0.991359 | + | 0.131173i | \(0.0418745\pi\) |
−0.886709 | + | 0.462328i | \(0.847014\pi\) | |||||||
\(572\) | −293.627 | + | 246.383i | −0.0214636 | + | 0.0180101i | ||||
\(573\) | −1019.22 | + | 370.967i | −0.0743084 | + | 0.0270460i | ||||
\(574\) | −1168.32 | + | 425.232i | −0.0849557 | + | 0.0309213i | ||||
\(575\) | −31181.9 | + | 26164.8i | −2.26153 | + | 1.89765i | ||||
\(576\) | −262.896 | − | 1490.96i | −0.0190174 | − | 0.107853i | ||||
\(577\) | 95.3069 | + | 540.512i | 0.00687639 | + | 0.0389980i | 0.988053 | − | 0.154115i | \(-0.0492527\pi\) |
−0.981177 | + | 0.193113i | \(0.938142\pi\) | |||||||
\(578\) | 6576.14 | − | 11390.2i | 0.473237 | − | 0.819671i | ||||
\(579\) | −1857.08 | − | 1558.28i | −0.133295 | − | 0.111848i | ||||
\(580\) | 5298.56 | + | 1928.52i | 0.379329 | + | 0.138064i | ||||
\(581\) | −1689.45 | − | 2926.22i | −0.120637 | − | 0.208950i | ||||
\(582\) | 1008.69 | − | 1747.10i | 0.0718411 | − | 0.124432i | ||||
\(583\) | −321.273 | + | 269.580i | −0.0228229 | + | 0.0191507i | ||||
\(584\) | −383.463 | − | 664.178i | −0.0271709 | − | 0.0470614i | ||||
\(585\) | 5819.68 | − | 33005.0i | 0.411306 | − | 2.33263i | ||||
\(586\) | −966.803 | −0.0681540 | ||||||||
\(587\) | −908.677 | + | 5153.36i | −0.0638929 | + | 0.362354i | 0.936052 | + | 0.351861i | \(0.114451\pi\) |
−0.999945 | + | 0.0104930i | \(0.996660\pi\) | |||||||
\(588\) | −1398.02 | − | 1173.08i | −0.0980502 | − | 0.0822739i | ||||
\(589\) | −30685.4 | + | 11168.6i | −2.14664 | + | 0.781312i | ||||
\(590\) | −5865.29 | − | 2134.79i | −0.409271 | − | 0.148963i | ||||
\(591\) | 5770.26 | 0.401619 | ||||||||
\(592\) | −3201.64 | − | 1648.23i | −0.222275 | − | 0.114429i | ||||
\(593\) | 4294.05 | 0.297362 | 0.148681 | − | 0.988885i | \(-0.452497\pi\) | ||||
0.148681 | + | 0.988885i | \(0.452497\pi\) | |||||||
\(594\) | 212.727 | + | 77.4262i | 0.0146941 | + | 0.00534821i | ||||
\(595\) | 17595.7 | − | 6404.30i | 1.21236 | − | 0.441262i | ||||
\(596\) | −265.224 | − | 222.549i | −0.0182282 | − | 0.0152952i | ||||
\(597\) | 1347.36 | − | 7641.26i | 0.0923682 | − | 0.523846i | ||||
\(598\) | 31711.8 | 2.16855 | ||||||||
\(599\) | 746.251 | − | 4232.20i | 0.0509032 | − | 0.288686i | −0.948721 | − | 0.316116i | \(-0.897621\pi\) |
0.999624 | + | 0.0274298i | \(0.00873226\pi\) | |||||||
\(600\) | 1472.78 | + | 2550.94i | 0.100210 | + | 0.173569i | ||||
\(601\) | 9312.87 | − | 7814.43i | 0.632080 | − | 0.530378i | −0.269495 | − | 0.963002i | \(-0.586857\pi\) |
0.901574 | + | 0.432624i | \(0.142412\pi\) | |||||||
\(602\) | 1251.60 | − | 2167.84i | 0.0847369 | − | 0.146769i | ||||
\(603\) | −7430.82 | − | 12870.6i | −0.501835 | − | 0.869203i | ||||
\(604\) | −11226.1 | − | 4085.98i | −0.756266 | − | 0.275258i | ||||
\(605\) | 18398.3 | + | 15438.0i | 1.23636 | + | 1.03743i | ||||
\(606\) | −1858.69 | + | 3219.35i | −0.124594 | + | 0.215804i | ||||
\(607\) | 4245.04 | + | 24074.8i | 0.283856 | + | 1.60983i | 0.709342 | + | 0.704865i | \(0.248992\pi\) |
−0.425485 | + | 0.904965i | \(0.639897\pi\) | |||||||
\(608\) | −687.716 | − | 3900.23i | −0.0458727 | − | 0.260157i | ||||
\(609\) | 1057.15 | − | 887.053i | 0.0703413 | − | 0.0590233i | ||||
\(610\) | 19812.0 | − | 7210.99i | 1.31502 | − | 0.478630i | ||||
\(611\) | 4678.14 | − | 1702.70i | 0.309750 | − | 0.112740i | ||||
\(612\) | −7769.48 | + | 6519.36i | −0.513174 | + | 0.430604i | ||||
\(613\) | −68.3309 | − | 387.524i | −0.00450221 | − | 0.0255333i | 0.982474 | − | 0.186400i | \(-0.0596821\pi\) |
−0.986976 | + | 0.160867i | \(0.948571\pi\) | |||||||
\(614\) | 138.232 | + | 783.955i | 0.00908567 | + | 0.0515274i | ||||
\(615\) | −1061.85 | + | 1839.17i | −0.0696223 | + | 0.120589i | ||||
\(616\) | 72.4116 | + | 60.7605i | 0.00473628 | + | 0.00397421i | ||||
\(617\) | −7863.09 | − | 2861.93i | −0.513057 | − | 0.186737i | 0.0725005 | − | 0.997368i | \(-0.476902\pi\) |
−0.585557 | + | 0.810631i | \(0.699124\pi\) | |||||||
\(618\) | 3400.70 | + | 5890.19i | 0.221353 | + | 0.383395i | ||||
\(619\) | −659.736 | + | 1142.70i | −0.0428385 | + | 0.0741984i | −0.886650 | − | 0.462442i | \(-0.846973\pi\) |
0.843811 | + | 0.536640i | \(0.180307\pi\) | |||||||
\(620\) | −14605.0 | + | 12255.1i | −0.946053 | + | 0.793833i | ||||
\(621\) | −9364.51 | − | 16219.8i | −0.605128 | − | 1.04811i | ||||
\(622\) | −662.159 | + | 3755.29i | −0.0426851 | + | 0.242079i | ||||
\(623\) | −3879.23 | −0.249467 | ||||||||
\(624\) | 398.484 | − | 2259.92i | 0.0255643 | − | 0.144982i | ||||
\(625\) | −196.060 | − | 164.514i | −0.0125479 | − | 0.0105289i | ||||
\(626\) | −9132.01 | + | 3323.78i | −0.583049 | + | 0.212212i | ||||
\(627\) | 259.869 | + | 94.5844i | 0.0165521 | + | 0.00602446i | ||||
\(628\) | 7213.49 | 0.458359 | ||||||||
\(629\) | 1161.73 | + | 24095.8i | 0.0736425 | + | 1.52745i | ||||
\(630\) | −8264.95 | −0.522672 | ||||||||
\(631\) | 18757.6 | + | 6827.20i | 1.18340 | + | 0.430724i | 0.857403 | − | 0.514646i | \(-0.172077\pi\) |
0.326001 | + | 0.945369i | \(0.394299\pi\) | |||||||
\(632\) | −3829.22 | + | 1393.72i | −0.241010 | + | 0.0877204i | ||||
\(633\) | 6473.03 | + | 5431.52i | 0.406445 | + | 0.341048i | ||||
\(634\) | −2651.02 | + | 15034.7i | −0.166065 | + | 0.941802i | ||||
\(635\) | −1912.91 | −0.119545 | ||||||||
\(636\) | 436.003 | − | 2472.69i | 0.0271834 | − | 0.154165i | ||||
\(637\) | 9783.05 | + | 16944.7i | 0.608506 | + | 1.05396i | ||||
\(638\) | 146.078 | − | 122.574i | 0.00906469 | − | 0.00760617i | ||||
\(639\) | −4245.15 | + | 7352.81i | −0.262810 | + | 0.455200i | ||||
\(640\) | −1156.14 | − | 2002.50i | −0.0714072 | − | 0.123681i | ||||
\(641\) | −4703.56 | − | 1711.96i | −0.289828 | − | 0.105489i | 0.193015 | − | 0.981196i | \(-0.438173\pi\) |
−0.482842 | + | 0.875707i | \(0.660396\pi\) | |||||||
\(642\) | 3294.91 | + | 2764.76i | 0.202554 | + | 0.169963i | ||||
\(643\) | 6426.39 | − | 11130.8i | 0.394140 | − | 0.682670i | −0.598851 | − | 0.800860i | \(-0.704376\pi\) |
0.992991 | + | 0.118190i | \(0.0377092\pi\) | |||||||
\(644\) | −1358.01 | − | 7701.66i | −0.0830949 | − | 0.471254i | ||||
\(645\) | −742.479 | − | 4210.81i | −0.0453257 | − | 0.257055i | ||||
\(646\) | −20324.4 | + | 17054.2i | −1.23785 | + | 1.03868i | ||||
\(647\) | 3507.09 | − | 1276.48i | 0.213103 | − | 0.0775633i | −0.233263 | − | 0.972414i | \(-0.574940\pi\) |
0.446366 | + | 0.894850i | \(0.352718\pi\) | |||||||
\(648\) | 3527.90 | − | 1284.05i | 0.213872 | − | 0.0778430i | ||||
\(649\) | −161.702 | + | 135.684i | −0.00978021 | + | 0.00820657i | ||||
\(650\) | −5483.82 | − | 31100.3i | −0.330912 | − | 1.87670i | ||||
\(651\) | 810.270 | + | 4595.27i | 0.0487818 | + | 0.276655i | ||||
\(652\) | 2027.54 | − | 3511.79i | 0.121786 | − | 0.210939i | ||||
\(653\) | 3688.82 | + | 3095.29i | 0.221064 | + | 0.185495i | 0.746593 | − | 0.665281i | \(-0.231688\pi\) |
−0.525529 | + | 0.850775i | \(0.676133\pi\) | |||||||
\(654\) | −992.202 | − | 361.132i | −0.0593244 | − | 0.0215923i | ||||
\(655\) | 4936.53 | + | 8550.33i | 0.294483 | + | 0.510059i | ||||
\(656\) | 514.269 | − | 890.740i | 0.0306080 | − | 0.0530146i | ||||
\(657\) | 1737.21 | − | 1457.69i | 0.103158 | − | 0.0865600i | ||||
\(658\) | −613.859 | − | 1063.23i | −0.0363689 | − | 0.0629927i | ||||
\(659\) | 2015.73 | − | 11431.8i | 0.119153 | − | 0.675750i | −0.865457 | − | 0.500983i | \(-0.832972\pi\) |
0.984610 | − | 0.174767i | \(-0.0559171\pi\) | |||||||
\(660\) | 161.462 | 0.00952259 | ||||||||
\(661\) | 1079.27 | − | 6120.84i | 0.0635078 | − | 0.360171i | −0.936448 | − | 0.350806i | \(-0.885908\pi\) |
0.999956 | − | 0.00936524i | \(-0.00298109\pi\) | |||||||
\(662\) | 2025.05 | + | 1699.22i | 0.118891 | + | 0.0997614i | ||||
\(663\) | −14446.1 | + | 5257.95i | −0.846214 | + | 0.307997i | ||||
\(664\) | 2626.69 | + | 956.036i | 0.153517 | + | 0.0558756i | ||||
\(665\) | −21620.5 | −1.26076 | ||||||||
\(666\) | 3155.74 | − | 10169.6i | 0.183608 | − | 0.591687i | ||||
\(667\) | −15776.4 | −0.915840 | ||||||||
\(668\) | 12258.3 | + | 4461.64i | 0.710009 | + | 0.258422i | ||||
\(669\) | 6188.71 | − | 2252.51i | 0.357652 | − | 0.130175i | ||||
\(670\) | −17388.0 | − | 14590.2i | −1.00262 | − | 0.841298i | ||||
\(671\) | 123.814 | − | 702.186i | 0.00712340 | − | 0.0403988i | ||||
\(672\) | −565.917 | −0.0324862 | ||||||||
\(673\) | −55.4771 | + | 314.626i | −0.00317754 | + | 0.0180207i | −0.986355 | − | 0.164631i | \(-0.947357\pi\) |
0.983178 | + | 0.182651i | \(0.0584679\pi\) | |||||||
\(674\) | 7428.61 | + | 12866.7i | 0.424539 | + | 0.735324i | ||||
\(675\) | −14287.6 | + | 11988.8i | −0.814714 | + | 0.683626i | ||||
\(676\) | −7907.40 | + | 13696.0i | −0.449898 | + | 0.779246i | ||||
\(677\) | 16284.5 | + | 28205.5i | 0.924465 | + | 1.60122i | 0.792419 | + | 0.609977i | \(0.208821\pi\) |
0.132045 | + | 0.991244i | \(0.457846\pi\) | |||||||
\(678\) | 2919.02 | + | 1062.44i | 0.165346 | + | 0.0601809i | ||||
\(679\) | 4085.98 | + | 3428.55i | 0.230936 | + | 0.193779i | ||||
\(680\) | −7745.26 | + | 13415.2i | −0.436790 | + | 0.756542i | ||||
\(681\) | 1006.53 | + | 5708.33i | 0.0566379 | + | 0.321210i | ||||
\(682\) | 111.964 | + | 634.978i | 0.00628638 | + | 0.0356518i | ||||
\(683\) | −5625.49 | + | 4720.34i | −0.315159 | + | 0.264449i | −0.786620 | − | 0.617437i | \(-0.788171\pi\) |
0.471462 | + | 0.881887i | \(0.343727\pi\) | |||||||
\(684\) | 11004.5 | − | 4005.30i | 0.615155 | − | 0.223898i | ||||
\(685\) | −4337.30 | + | 1578.65i | −0.241927 | + | 0.0880541i | ||||
\(686\) | 8778.17 | − | 7365.76i | 0.488560 | − | 0.409951i | ||||
\(687\) | −723.702 | − | 4104.32i | −0.0401906 | − | 0.227932i | ||||
\(688\) | 359.595 | + | 2039.36i | 0.0199265 | + | 0.113009i | ||||
\(689\) | −13459.6 | + | 23312.7i | −0.744224 | + | 1.28903i | ||||
\(690\) | −10233.0 | − | 8586.52i | −0.564586 | − | 0.473744i | ||||
\(691\) | −6069.79 | − | 2209.22i | −0.334162 | − | 0.121625i | 0.169490 | − | 0.985532i | \(-0.445788\pi\) |
−0.503651 | + | 0.863907i | \(0.668010\pi\) | |||||||
\(692\) | −5772.36 | − | 9998.02i | −0.317099 | − | 0.549231i | ||||
\(693\) | −139.755 | + | 242.063i | −0.00766070 | + | 0.0132687i | ||||
\(694\) | 8818.33 | − | 7399.46i | 0.482333 | − | 0.404726i | ||||
\(695\) | 15247.1 | + | 26408.7i | 0.832164 | + | 1.44135i | ||||
\(696\) | −198.243 | + | 1124.29i | −0.0107965 | + | 0.0612302i | ||||
\(697\) | −6890.40 | −0.374451 | ||||||||
\(698\) | 3807.04 | − | 21590.8i | 0.206445 | − | 1.17081i | ||||
\(699\) | −5527.33 | − | 4637.98i | −0.299088 | − | 0.250965i | ||||
\(700\) | −7318.30 | + | 2663.64i | −0.395151 | + | 0.143823i | ||||
\(701\) | −15223.6 | − | 5540.93i | −0.820237 | − | 0.298542i | −0.102392 | − | 0.994744i | \(-0.532650\pi\) |
−0.717846 | + | 0.696202i | \(0.754872\pi\) | |||||||
\(702\) | 14530.4 | 0.781219 | ||||||||
\(703\) | 8255.19 | − | 26602.9i | 0.442888 | − | 1.42723i | ||||
\(704\) | −78.1988 | −0.00418640 | ||||||||
\(705\) | −1970.61 | − | 717.244i | −0.105273 | − | 0.0383163i | ||||
\(706\) | −1252.96 | + | 456.040i | −0.0667928 | + | 0.0243106i | ||||
\(707\) | −7529.15 | − | 6317.71i | −0.400513 | − | 0.336071i | ||||
\(708\) | 219.447 | − | 1244.55i | 0.0116488 | − | 0.0660635i | ||||
\(709\) | 16628.6 | 0.880818 | 0.440409 | − | 0.897797i | \(-0.354833\pi\) | ||||
0.440409 | + | 0.897797i | \(0.354833\pi\) | |||||||
\(710\) | −2251.75 | + | 12770.3i | −0.119024 | + | 0.675017i | ||||
\(711\) | −6024.74 | − | 10435.2i | −0.317785 | − | 0.550421i | ||||
\(712\) | 2458.36 | − | 2062.81i | 0.129398 | − | 0.108577i | ||||
\(713\) | 26672.0 | − | 46197.3i | 1.40095 | − | 2.42651i | ||||
\(714\) | 1895.60 | + | 3283.27i | 0.0993571 | + | 0.172092i | ||||
\(715\) | −1626.67 | − | 592.061i | −0.0850827 | − | 0.0309676i | ||||
\(716\) | −2277.62 | − | 1911.15i | −0.118881 | − | 0.0997528i | ||||
\(717\) | −53.0440 | + | 91.8749i | −0.00276285 | + | 0.00478540i | ||||
\(718\) | −971.955 | − | 5512.23i | −0.0505196 | − | 0.286511i | ||||
\(719\) | 3446.51 | + | 19546.1i | 0.178766 | + | 1.01383i | 0.933706 | + | 0.358040i | \(0.116555\pi\) |
−0.754940 | + | 0.655794i | \(0.772334\pi\) | |||||||
\(720\) | 5237.70 | − | 4394.95i | 0.271107 | − | 0.227486i | ||||
\(721\) | −16898.2 | + | 6150.43i | −0.872844 | + | 0.317689i | ||||
\(722\) | 15896.1 | − | 5785.72i | 0.819381 | − | 0.298230i | ||||
\(723\) | −5367.16 | + | 4503.58i | −0.276081 | + | 0.231660i | ||||
\(724\) | 795.644 | + | 4512.32i | 0.0408424 | + | 0.231629i | ||||
\(725\) | 2728.16 | + | 15472.2i | 0.139754 | + | 0.792583i | ||||
\(726\) | −2431.36 | + | 4211.24i | −0.124292 | + | 0.215281i | ||||
\(727\) | 7388.45 | + | 6199.65i | 0.376922 | + | 0.316275i | 0.811493 | − | 0.584362i | \(-0.198655\pi\) |
−0.434570 | + | 0.900638i | \(0.643100\pi\) | |||||||
\(728\) | 5701.41 | + | 2075.14i | 0.290259 | + | 0.105645i | ||||
\(729\) | 3263.59 | + | 5652.71i | 0.165808 | + | 0.287188i | ||||
\(730\) | 1731.79 | − | 2999.55i | 0.0878034 | − | 0.152080i | ||||
\(731\) | 10627.2 | − | 8917.32i | 0.537706 | − | 0.451189i | ||||
\(732\) | 2134.37 | + | 3696.83i | 0.107771 | + | 0.186665i | ||||
\(733\) | 956.226 | − | 5423.03i | 0.0481842 | − | 0.273266i | −0.951191 | − | 0.308602i | \(-0.900139\pi\) |
0.999375 | + | 0.0353357i | \(0.0112501\pi\) | |||||||
\(734\) | 25073.3 | 1.26086 | ||||||||
\(735\) | 1431.21 | − | 8116.79i | 0.0718244 | − | 0.407336i | ||||
\(736\) | 4956.02 | + | 4158.59i | 0.248208 | + | 0.208271i | ||||
\(737\) | −721.337 | + | 262.545i | −0.0360527 | + | 0.0131221i | ||||
\(738\) | 2857.92 | + | 1040.20i | 0.142550 | + | 0.0518838i | ||||
\(739\) | −7563.94 | −0.376514 | −0.188257 | − | 0.982120i | \(-0.560284\pi\) | ||||
−0.188257 | + | 0.982120i | \(0.560284\pi\) | |||||||
\(740\) | −783.165 | − | 16243.9i | −0.0389050 | − | 0.806943i | ||||
\(741\) | 17750.5 | 0.880000 | ||||||||
\(742\) | 6238.21 | + | 2270.52i | 0.308641 | + | 0.112336i | ||||
\(743\) | 646.528 | − | 235.317i | 0.0319230 | − | 0.0116190i | −0.326009 | − | 0.945367i | \(-0.605704\pi\) |
0.357932 | + | 0.933748i | \(0.383482\pi\) | |||||||
\(744\) | −2957.05 | − | 2481.26i | −0.145714 | − | 0.122268i | ||||
\(745\) | 271.519 | − | 1539.86i | 0.0133526 | − | 0.0757264i | ||||
\(746\) | −12199.2 | −0.598721 | ||||||||
\(747\) | −1435.28 | + | 8139.88i | −0.0703001 | + | 0.398692i | ||||
\(748\) | 261.935 | + | 453.685i | 0.0128039 | + | 0.0221770i | ||||
\(749\) | −8711.62 | + | 7309.92i | −0.424987 | + | 0.356607i | ||||
\(750\) | −2521.84 | + | 4367.96i | −0.122779 | + | 0.212660i | ||||
\(751\) | −6120.54 | − | 10601.1i | −0.297392 | − | 0.515099i | 0.678146 | − | 0.734927i | \(-0.262784\pi\) |
−0.975539 | + | 0.219828i | \(0.929450\pi\) | |||||||
\(752\) | 954.400 | + | 347.373i | 0.0462811 | + | 0.0168449i | ||||
\(753\) | 3710.65 | + | 3113.61i | 0.179580 | + | 0.150685i | ||||
\(754\) | 6119.87 | − | 10599.9i | 0.295587 | − | 0.511971i | ||||
\(755\) | −9368.85 | − | 53133.4i | −0.451613 | − | 2.56122i | ||||
\(756\) | −622.243 | − | 3528.92i | −0.0299349 | − | 0.169769i | ||||
\(757\) | 8595.52 | − | 7212.50i | 0.412694 | − | 0.346292i | −0.412682 | − | 0.910875i | \(-0.635408\pi\) |
0.825376 | + | 0.564584i | \(0.190963\pi\) | |||||||
\(758\) | −17378.7 | + | 6325.32i | −0.832747 | + | 0.303095i | ||||
\(759\) | −424.515 | + | 154.511i | −0.0203016 | + | 0.00738919i | ||||
\(760\) | 13701.4 | − | 11496.8i | 0.653951 | − | 0.548730i | ||||
\(761\) | 6355.02 | + | 36041.1i | 0.302719 | + | 1.71681i | 0.634050 | + | 0.773292i | \(0.281391\pi\) |
−0.331331 | + | 0.943515i | \(0.607498\pi\) | |||||||
\(762\) | −67.2543 | − | 381.418i | −0.00319733 | − | 0.0181330i | ||||
\(763\) | 1395.85 | − | 2417.69i | 0.0662297 | − | 0.114713i | ||||
\(764\) | 1817.35 | + | 1524.94i | 0.0860596 | + | 0.0722126i | ||||
\(765\) | −43042.3 | − | 15666.1i | −2.03425 | − | 0.740405i | ||||
\(766\) | −5231.21 | − | 9060.72i | −0.246751 | − | 0.427385i | ||||
\(767\) | −6774.44 | + | 11733.7i | −0.318919 | + | 0.552384i | ||||
\(768\) | 358.635 | − | 300.930i | 0.0168504 | − | 0.0141392i | ||||
\(769\) | 13846.3 | + | 23982.4i | 0.649297 | + | 1.12462i | 0.983291 | + | 0.182040i | \(0.0582701\pi\) |
−0.333994 | + | 0.942575i | \(0.608397\pi\) | |||||||
\(770\) | −74.1304 | + | 420.415i | −0.00346945 | + | 0.0196762i | ||||
\(771\) | −1130.64 | −0.0528131 | ||||||||
\(772\) | −920.764 | + | 5221.91i | −0.0429262 | + | 0.243447i | ||||
\(773\) | 18361.7 | + | 15407.3i | 0.854364 | + | 0.716897i | 0.960746 | − | 0.277429i | \(-0.0894822\pi\) |
−0.106382 | + | 0.994325i | \(0.533927\pi\) | |||||||
\(774\) | −5754.04 | + | 2094.30i | −0.267216 | + | 0.0972585i | ||||
\(775\) | −49918.7 | − | 18168.9i | −2.31372 | − | 0.842125i | ||||
\(776\) | −4412.54 | −0.204125 | ||||||||
\(777\) | −3538.79 | − | 1821.80i | −0.163389 | − | 0.0841141i | ||||
\(778\) | −27845.0 | −1.28315 | ||||||||
\(779\) | 7476.11 | + | 2721.08i | 0.343850 | + | 0.125151i | ||||
\(780\) | 9738.65 | − | 3544.58i | 0.447051 | − | 0.162713i | ||||
\(781\) | 335.941 | + | 281.888i | 0.0153917 | + | 0.0129152i | ||||
\(782\) | 7526.15 | − | 42682.9i | 0.344162 | − | 1.95184i | ||||
\(783\) | −7228.79 | −0.329931 | ||||||||
\(784\) | −693.158 | + | 3931.09i | −0.0315761 | + | 0.179077i | ||||
\(785\) | 16288.7 | + | 28212.9i | 0.740599 | + | 1.28275i | ||||
\(786\) | −1531.31 | + | 1284.92i | −0.0694910 | + | 0.0583099i | ||||
\(787\) | −18829.9 | + | 32614.3i | −0.852875 | + | 1.47722i | 0.0257283 | + | 0.999669i | \(0.491810\pi\) |
−0.878603 | + | 0.477553i | \(0.841524\pi\) | |||||||
\(788\) | −6310.54 | − | 10930.2i | −0.285284 | − | 0.494126i | ||||
\(789\) | 2098.03 | + | 763.619i | 0.0946663 | + | 0.0344557i | ||||
\(790\) | −14097.8 | − | 11829.4i | −0.634907 | − | 0.532750i | ||||
\(791\) | −4106.55 | + | 7112.75i | −0.184592 | + | 0.319722i | ||||
\(792\) | −40.1527 | − | 227.717i | −0.00180147 | − | 0.0102166i | ||||
\(793\) | −7947.18 | − | 45070.7i | −0.355880 | − | 2.01830i | ||||
\(794\) | −11159.3 | + | 9363.76i | −0.498776 | + | 0.418523i | ||||
\(795\) | 10655.6 | − | 3878.31i | 0.475364 | − | 0.173018i | ||||
\(796\) | −15947.8 | + | 5804.52i | −0.710119 | + | 0.258462i | ||||
\(797\) | 33729.8 | − | 28302.7i | 1.49909 | − | 1.25788i | 0.616845 | − | 0.787085i | \(-0.288411\pi\) |
0.882241 | − | 0.470798i | \(-0.156034\pi\) | |||||||
\(798\) | −760.137 | − | 4310.95i | −0.0337200 | − | 0.191236i | ||||
\(799\) | −1181.51 | − | 6700.69i | −0.0523141 | − | 0.296688i | ||||
\(800\) | 3221.37 | − | 5579.57i | 0.142366 | − | 0.246585i | ||||
\(801\) | 7269.26 | + | 6099.63i | 0.320657 | + | 0.269064i | ||||
\(802\) | 21731.8 | + | 7909.73i | 0.956829 | + | 0.348257i | ||||
\(803\) | −58.5671 | − | 101.441i | −0.00257383 | − | 0.00445801i | ||||
\(804\) | 2297.85 | − | 3979.99i | 0.100795 | − | 0.174581i | ||||
\(805\) | 27055.7 | − | 22702.4i | 1.18458 | − | 0.993982i | ||||
\(806\) | 20692.8 | + | 35841.0i | 0.904308 | + | 1.56631i | ||||
\(807\) | −1177.91 | + | 6680.25i | −0.0513808 | + | 0.291395i | ||||
\(808\) | 8130.89 | 0.354015 | ||||||||
\(809\) | 7339.50 | − | 41624.4i | 0.318966 | − | 1.80894i | −0.230103 | − | 0.973166i | \(-0.573906\pi\) |
0.549068 | − | 0.835777i | \(-0.314983\pi\) | |||||||
\(810\) | 12988.4 | + | 10898.6i | 0.563416 | + | 0.472762i | ||||
\(811\) | −6791.30 | + | 2471.83i | −0.294050 | + | 0.107026i | −0.484833 | − | 0.874607i | \(-0.661120\pi\) |
0.190783 | + | 0.981632i | \(0.438897\pi\) | |||||||
\(812\) | −2836.41 | − | 1032.37i | −0.122584 | − | 0.0446171i | ||||
\(813\) | 7093.33 | 0.305995 | ||||||||
\(814\) | −488.993 | − | 251.737i | −0.0210555 | − | 0.0108395i | ||||
\(815\) | 18313.5 | 0.787108 | ||||||||
\(816\) | −2947.19 | − | 1072.69i | −0.126437 | − | 0.0460192i | ||||
\(817\) | −15052.1 | + | 5478.53i | −0.644562 | + | 0.234602i | ||||
\(818\) | −10322.3 | − | 8661.46i | −0.441212 | − | 0.370221i | ||||
\(819\) | −3115.38 | + | 17668.2i | −0.132918 | + | 0.753817i | ||||
\(820\) | 4645.07 | 0.197821 | ||||||||
\(821\) | 2469.26 | − | 14003.9i | 0.104967 | − | 0.595297i | −0.886267 | − | 0.463175i | \(-0.846710\pi\) |
0.991234 | − | 0.132121i | \(-0.0421789\pi\) | |||||||
\(822\) | −467.262 | − | 809.321i | −0.0198268 | − | 0.0343410i | ||||
\(823\) | 26715.0 | − | 22416.6i | 1.13150 | − | 0.949445i | 0.132376 | − | 0.991200i | \(-0.457739\pi\) |
0.999128 | + | 0.0417546i | \(0.0132948\pi\) | |||||||
\(824\) | 7438.23 | − | 12883.4i | 0.314470 | − | 0.544678i | ||||
\(825\) | 224.941 | + | 389.610i | 0.00949267 | + | 0.0164418i | ||||
\(826\) | 3139.79 | + | 1142.79i | 0.132261 | + | 0.0481390i | ||||
\(827\) | −26642.8 | − | 22356.0i | −1.12027 | − | 0.940016i | −0.121650 | − | 0.992573i | \(-0.538819\pi\) |
−0.998618 | + | 0.0525567i | \(0.983263\pi\) | |||||||
\(828\) | −9565.17 | + | 16567.4i | −0.401465 | + | 0.695357i | ||||
\(829\) | 3491.80 | + | 19803.0i | 0.146291 | + | 0.829656i | 0.966322 | + | 0.257337i | \(0.0828451\pi\) |
−0.820031 | + | 0.572319i | \(0.806044\pi\) | |||||||
\(830\) | 2192.12 | + | 12432.1i | 0.0916743 | + | 0.519911i | ||||
\(831\) | −4260.70 | + | 3575.15i | −0.177860 | + | 0.149243i | ||||
\(832\) | −4716.59 | + | 1716.70i | −0.196536 | + | 0.0715334i | ||||
\(833\) | 25128.8 | − | 9146.13i | 1.04521 | − | 0.380426i | ||||
\(834\) | −4729.62 | + | 3968.63i | −0.196371 | + | 0.164775i | ||||
\(835\) | 10230.2 | + | 58018.5i | 0.423990 | + | 2.40457i | ||||
\(836\) | −105.036 | − | 595.691i | −0.00434540 | − | 0.0246440i | ||||
\(837\) | 12221.2 | − | 21167.7i | 0.504690 | − | 0.874149i | ||||
\(838\) | 12346.6 | + | 10360.0i | 0.508958 | + | 0.427067i | ||||
\(839\) | −8152.80 | − | 2967.38i | −0.335478 | − | 0.122104i | 0.168788 | − | 0.985652i | \(-0.446015\pi\) |
−0.504266 | + | 0.863548i | \(0.668237\pi\) | |||||||
\(840\) | −1277.89 | − | 2213.38i | −0.0524899 | − | 0.0909152i | ||||
\(841\) | 9149.91 | − | 15848.1i | 0.375165 | − | 0.649805i | ||||
\(842\) | 3239.11 | − | 2717.94i | 0.132574 | − | 0.111243i | ||||
\(843\) | −4218.21 | − | 7306.15i | −0.172340 | − | 0.298502i | ||||
\(844\) | 3209.41 | − | 18201.5i | 0.130892 | − | 0.742323i | ||||
\(845\) | −71422.7 | −2.90771 | ||||||||
\(846\) | −521.506 | + | 2957.61i | −0.0211935 | + | 0.120195i | ||||
\(847\) | −9848.92 | − | 8264.22i | −0.399543 | − | 0.335256i | ||||
\(848\) | −5160.67 | + | 1878.33i | −0.208984 | + | 0.0760638i | ||||
\(849\) | −10485.7 | − | 3816.49i | −0.423874 | − | 0.154278i | ||||
\(850\) | −43161.3 | −1.74167 | ||||||||
\(851\) | 17603.7 | + | 41958.9i | 0.709102 | + | 1.69017i | ||||
\(852\) | −2625.47 | −0.105572 | ||||||||
\(853\) | −20600.6 | − | 7498.01i | −0.826906 | − | 0.300969i | −0.106318 | − | 0.994332i | \(-0.533906\pi\) |
−0.720589 | + | 0.693363i | \(0.756128\pi\) | |||||||
\(854\) | −10605.7 | + | 3860.17i | −0.424966 | + | 0.154675i | ||||
\(855\) | 40514.4 | + | 33995.6i | 1.62054 | + | 1.35980i | ||||
\(856\) | 1633.66 | − | 9264.94i | 0.0652305 | − | 0.369940i | ||||
\(857\) | −16853.2 | −0.671757 | −0.335879 | − | 0.941905i | \(-0.609033\pi\) | ||||
−0.335879 | + | 0.941905i | \(0.609033\pi\) | |||||||
\(858\) | 60.8613 | − | 345.162i | 0.00242164 | − | 0.0137338i | ||||
\(859\) | −4074.00 | − | 7056.37i | −0.161820 | − | 0.280280i | 0.773702 | − | 0.633550i | \(-0.218403\pi\) |
−0.935521 | + | 0.353270i | \(0.885070\pi\) | |||||||
\(860\) | −7164.23 | + | 6011.50i | −0.284068 | + | 0.238361i | ||||
\(861\) | 568.425 | − | 984.541i | 0.0224993 | − | 0.0389699i | ||||
\(862\) | 310.034 | + | 536.995i | 0.0122504 | + | 0.0212182i | ||||
\(863\) | 9622.80 | + | 3502.41i | 0.379564 | + | 0.138150i | 0.524754 | − | 0.851254i | \(-0.324157\pi\) |
−0.145190 | + | 0.989404i | \(0.546379\pi\) | |||||||
\(864\) | 2270.86 | + | 1905.48i | 0.0894169 | + | 0.0750297i | ||||
\(865\) | 26069.1 | − | 45153.0i | 1.02471 | − | 1.77485i | ||||
\(866\) | 3715.24 | + | 21070.2i | 0.145784 | + | 0.826784i | ||||
\(867\) | 2088.33 | + | 11843.5i | 0.0818033 | + | 0.463930i | ||||
\(868\) | 7818.34 | − | 6560.37i | 0.305728 | − | 0.256536i | ||||
\(869\) | −584.844 | + | 212.866i | −0.0228303 | + | 0.00830953i | ||||
\(870\) | −4844.92 | + | 1763.41i | −0.188802 | + | 0.0687184i | ||||
\(871\) | −37744.1 | + | 31671.0i | −1.46832 | + | 1.23207i | ||||
\(872\) | 401.038 | + | 2274.40i | 0.0155744 | + | 0.0883268i | ||||
\(873\) | −2265.70 | − | 12849.4i | −0.0878379 | − | 0.498153i | ||||
\(874\) | −25021.8 | + | 43339.0i | −0.968391 | + | 1.67730i | ||||
\(875\) | −10215.4 | − | 8571.77i | −0.394680 | − | 0.331176i | ||||
\(876\) | 658.974 | + | 239.847i | 0.0254163 | + | 0.00925077i | ||||
\(877\) | 4907.67 | + | 8500.33i | 0.188963 | + | 0.327293i | 0.944905 | − | 0.327346i | \(-0.106154\pi\) |
−0.755942 | + | 0.654639i | \(0.772821\pi\) | |||||||
\(878\) | 3824.55 | − | 6624.31i | 0.147007 | − | 0.254624i | ||||
\(879\) | 677.206 | − | 568.243i | 0.0259859 | − | 0.0218047i | ||||
\(880\) | −176.580 | − | 305.846i | −0.00676423 | − | 0.0117160i | ||||
\(881\) | −3806.70 | + | 21588.9i | −0.145574 | + | 0.825593i | 0.821330 | + | 0.570453i | \(0.193232\pi\) |
−0.966904 | + | 0.255139i | \(0.917879\pi\) | |||||||
\(882\) | −11803.4 | −0.450612 | ||||||||
\(883\) | 4795.23 | − | 27195.1i | 0.182755 | − | 1.03645i | −0.746052 | − | 0.665888i | \(-0.768053\pi\) |
0.928807 | − | 0.370565i | \(-0.120836\pi\) | |||||||
\(884\) | 25758.5 | + | 21613.9i | 0.980035 | + | 0.822347i | ||||
\(885\) | 5363.12 | − | 1952.02i | 0.203706 | − | 0.0741428i | ||||
\(886\) | 6887.18 | + | 2506.73i | 0.261150 | + | 0.0950510i | ||||
\(887\) | 40199.8 | 1.52173 | 0.760867 | − | 0.648908i | \(-0.224774\pi\) | ||||
0.760867 | + | 0.648908i | \(0.224774\pi\) | |||||||
\(888\) | 3211.37 | − | 727.264i | 0.121359 | − | 0.0274835i | ||||
\(889\) | 1024.01 | 0.0386325 | ||||||||
\(890\) | 13619.2 | + | 4956.97i | 0.512938 | + | 0.186694i | ||||
\(891\) | 538.824 | − | 196.116i | 0.0202596 | − | 0.00737388i | ||||
\(892\) | −11034.9 | − | 9259.41i | −0.414212 | − | 0.347565i | ||||
\(893\) | −1364.22 | + | 7736.87i | −0.0511219 | + | 0.289927i | ||||
\(894\) | 316.583 | 0.0118435 | ||||||||
\(895\) | 2331.68 | − | 13223.6i | 0.0870833 | − | 0.493874i | ||||
\(896\) | 618.905 | + | 1071.97i | 0.0230761 | + | 0.0399689i | ||||
\(897\) | −22212.8 | + | 18638.8i | −0.826828 | + | 0.693791i | ||||
\(898\) | −12707.3 | + | 22009.7i | −0.472213 | + | 0.817898i | ||||
\(899\) | −10294.5 | − | 17830.6i | −0.381915 | − | 0.661496i | ||||
\(900\) | 17902.0 | + | 6515.78i | 0.663035 | + | 0.241325i | ||||
\(901\) | 28183.7 | + | 23648.9i | 1.04210 | + | 0.874429i | ||||
\(902\) | 78.5454 | − | 136.045i | 0.00289942 | − | 0.00502194i | ||||
\(903\) | 397.462 | + | 2254.12i | 0.0146475 | + | 0.0830703i | ||||
\(904\) | −1179.84 | − | 6691.21i | −0.0434081 | − | 0.246179i | ||||
\(905\) | −15851.7 | + | 13301.1i | −0.582240 | + | 0.488557i | ||||
\(906\) | 10265.0 | − | 3736.15i | 0.376414 | − | 0.137004i | ||||
\(907\) | −21926.3 | + | 7980.52i | −0.802702 | + | 0.292160i | −0.710606 | − | 0.703591i | \(-0.751579\pi\) |
−0.0920962 | + | 0.995750i | \(0.529357\pi\) | |||||||
\(908\) | 9712.10 | − | 8149.42i | 0.354964 | − | 0.297850i | ||||
\(909\) | 4174.96 | + | 23677.4i | 0.152337 | + | 0.863949i | ||||
\(910\) | 4758.16 | + | 26984.8i | 0.173331 | + | 0.983010i | ||||
\(911\) | 6302.20 | − | 10915.7i | 0.229200 | − | 0.396986i | −0.728371 | − | 0.685183i | \(-0.759722\pi\) |
0.957571 | + | 0.288197i | \(0.0930557\pi\) | |||||||
\(912\) | 2774.10 | + | 2327.74i | 0.100723 | + | 0.0845168i | ||||
\(913\) | 401.179 | + | 146.017i | 0.0145423 | + | 0.00529295i | ||||
\(914\) | 3186.79 | + | 5519.68i | 0.115328 | + | 0.199754i | ||||
\(915\) | −9639.21 | + | 16695.6i | −0.348265 | + | 0.603213i | ||||
\(916\) | −6983.04 | + | 5859.47i | −0.251885 | + | 0.211356i | ||||
\(917\) | −2642.61 | − | 4577.14i | −0.0951656 | − | 0.164832i | ||||
\(918\) | 3448.50 | − | 19557.4i | 0.123984 | − | 0.703149i | ||||
\(919\) | −31803.9 | −1.14158 | −0.570791 | − | 0.821095i | \(-0.693363\pi\) | ||||
−0.570791 | + | 0.821095i | \(0.693363\pi\) | |||||||
\(920\) | −5073.66 | + | 28774.1i | −0.181819 | + | 1.03115i | ||||
\(921\) | −557.599 | − | 467.881i | −0.0199495 | − | 0.0167396i | ||||
\(922\) | 11927.6 | − | 4341.30i | 0.426047 | − | 0.155068i | ||||
\(923\) | 26450.7 | + | 9627.26i | 0.943266 | + | 0.343321i | ||||
\(924\) | −86.4336 | −0.00307734 | ||||||||
\(925\) | 38105.6 | − | 24520.0i | 1.35449 | − | 0.871582i | ||||
\(926\) | −31842.3 | −1.13003 | ||||||||
\(927\) | 41336.1 | + | 15045.1i | 1.46457 | + | 0.533060i | ||||
\(928\) | 2346.47 | − | 854.046i | 0.0830029 | − | 0.0302106i | ||||
\(929\) | 2409.87 | + | 2022.12i | 0.0851080 | + | 0.0714141i | 0.684349 | − | 0.729155i | \(-0.260086\pi\) |
−0.599241 | + | 0.800569i | \(0.704531\pi\) | |||||||
\(930\) | 3027.25 | − | 17168.4i | 0.106739 | − | 0.605347i | ||||
\(931\) | −30876.7 | −1.08694 | ||||||||
\(932\) | −2740.52 | + | 15542.3i | −0.0963184 | + | 0.546249i | ||||
\(933\) | −1743.37 | − | 3019.61i | −0.0611742 | − | 0.105957i | ||||
\(934\) | −15373.3 | + | 12899.8i | −0.538577 | + | 0.451920i | ||||
\(935\) | −1182.95 | + | 2048.93i | −0.0413760 | + | 0.0716654i | ||||
\(936\) | −7420.90 | − | 12853.4i | −0.259145 | − | 0.448852i | ||||
\(937\) | 13575.2 | + | 4940.98i | 0.473302 | + | 0.172268i | 0.567647 | − | 0.823272i | \(-0.307854\pi\) |
−0.0943457 | + | 0.995539i | \(0.530076\pi\) | |||||||
\(938\) | 9308.08 | + | 7810.41i | 0.324008 | + | 0.271875i | ||||
\(939\) | 4443.03 | − | 7695.55i | 0.154412 | − | 0.267449i | ||||
\(940\) | 796.502 | + | 4517.19i | 0.0276373 | + | 0.156739i | ||||
\(941\) | 183.864 | + | 1042.74i | 0.00636960 | + | 0.0361238i | 0.987827 | − | 0.155557i | \(-0.0497173\pi\) |
−0.981457 | + | 0.191681i | \(0.938606\pi\) | |||||||
\(942\) | −5052.75 | + | 4239.76i | −0.174764 | + | 0.146644i | ||||
\(943\) | −12212.8 | + | 4445.09i | −0.421743 | + | 0.153502i | ||||
\(944\) | −2597.45 | + | 945.394i | −0.0895548 | + | 0.0325953i | ||||
\(945\) | 12397.0 | − | 10402.3i | 0.426745 | − | 0.358082i | ||||
\(946\) | 54.9217 | + | 311.476i | 0.00188759 | + | 0.0107050i | ||||
\(947\) | −1779.48 | − | 10091.9i | −0.0610617 | − | 0.346298i | −0.999998 | − | 0.00220585i | \(-0.999298\pi\) |
0.938936 | − | 0.344092i | \(-0.111813\pi\) | |||||||
\(948\) | 1863.04 | − | 3226.89i | 0.0638279 | − | 0.110553i | ||||
\(949\) | −5759.43 | − | 4832.74i | −0.197006 | − | 0.165308i | ||||
\(950\) | 46830.1 | + | 17044.8i | 1.59934 | + | 0.582111i | ||||
\(951\) | −6979.76 | − | 12089.3i | −0.237996 | − | 0.412222i | ||||
\(952\) | 4146.18 | − | 7181.39i | 0.141154 | − | 0.244485i | ||||
\(953\) | −23223.5 | + | 19486.8i | −0.789384 | + | 0.662371i | −0.945593 | − | 0.325353i | \(-0.894517\pi\) |
0.156209 | + | 0.987724i | \(0.450073\pi\) | |||||||
\(954\) | −8119.60 | − | 14063.6i | −0.275557 | − | 0.477279i | ||||
\(955\) | −1860.49 | + | 10551.4i | −0.0630410 | + | 0.357523i | ||||
\(956\) | 232.043 | 0.00785020 | ||||||||
\(957\) | −30.2781 | + | 171.716i | −0.00102273 | + | 0.00580019i | ||||
\(958\) | −19073.0 | − | 16004.2i | −0.643237 | − | 0.539740i | ||||
\(959\) | 2321.84 | − | 845.079i | 0.0781814 | − | 0.0284557i | ||||
\(960\) | 1986.81 | + | 723.140i | 0.0667959 | + | 0.0243117i | ||||
\(961\) | 39825.7 | 1.33684 | ||||||||
\(962\) | −35020.2 | − | 4448.76i | −1.17370 | − | 0.149100i | ||||
\(963\) | 27818.6 | 0.930884 | ||||||||
\(964\) | 14400.5 | + | 5241.35i | 0.481129 | + | 0.175117i | ||||
\(965\) | −22502.8 | + | 8190.34i | −0.750664 | + | 0.273219i | ||||
\(966\) | 5477.92 | + | 4596.52i | 0.182452 | + | 0.153096i | ||||
\(967\) | −2160.44 | + | 12252.5i | −0.0718460 | + | 0.407459i | 0.927581 | + | 0.373621i | \(0.121884\pi\) |
−0.999427 | + | 0.0338376i | \(0.989227\pi\) | |||||||
\(968\) | 10636.1 | 0.353157 | ||||||||
\(969\) | 4212.71 | − | 23891.5i | 0.139661 | − | 0.792058i | ||||
\(970\) | −9963.94 | − | 17258.0i | −0.329817 | − | 0.571260i | ||||
\(971\) | −12116.9 | + | 10167.3i | −0.400462 | + | 0.336028i | −0.820672 | − | 0.571399i | \(-0.806401\pi\) |
0.420210 | + | 0.907427i | \(0.361956\pi\) | |||||||
\(972\) | −6718.86 | + | 11637.4i | −0.221716 | + | 0.384023i | ||||
\(973\) | −8162.03 | − | 14137.0i | −0.268923 | − | 0.465789i | ||||
\(974\) | −37093.4 | − | 13500.9i | −1.22028 | − | 0.444144i | ||||
\(975\) | 22120.5 | + | 18561.3i | 0.726588 | + | 0.609680i | ||||
\(976\) | 4668.43 | − | 8085.96i | 0.153107 | − | 0.265190i | ||||
\(977\) | 5536.17 | + | 31397.2i | 0.181287 | + | 1.02813i | 0.930633 | + | 0.365953i | \(0.119257\pi\) |
−0.749346 | + | 0.662179i | \(0.769632\pi\) | |||||||
\(978\) | 643.869 | + | 3651.56i | 0.0210518 | + | 0.119391i | ||||
\(979\) | 375.471 | − | 315.057i | 0.0122575 | − | 0.0102853i | ||||
\(980\) | −16940.3 | + | 6165.75i | −0.552180 | + | 0.200977i | ||||
\(981\) | −6417.20 | + | 2335.67i | −0.208854 | + | 0.0760165i | ||||
\(982\) | 17841.8 | − | 14971.0i | 0.579790 | − | 0.486502i | ||||
\(983\) | −7275.25 | − | 41260.0i | −0.236057 | − | 1.33875i | −0.840376 | − | 0.542004i | \(-0.817666\pi\) |
0.604318 | − | 0.796743i | \(-0.293446\pi\) | |||||||
\(984\) | 163.312 | + | 926.191i | 0.00529087 | + | 0.0300060i | ||||
\(985\) | 28499.6 | − | 49362.7i | 0.921901 | − | 1.59678i | ||||
\(986\) | −12814.7 | − | 10752.8i | −0.413897 | − | 0.347301i | ||||
\(987\) | 1054.90 | + | 383.954i | 0.0340202 | + | 0.0123824i | ||||
\(988\) | −19412.5 | − | 33623.4i | −0.625095 | − | 1.08270i | ||||
\(989\) | 13083.4 | − | 22661.2i | 0.420656 | − | 0.728598i | ||||
\(990\) | 799.964 | − | 671.250i | 0.0256813 | − | 0.0215492i | ||||
\(991\) | −23067.2 | − | 39953.5i | −0.739407 | − | 1.28069i | −0.952762 | − | 0.303716i | \(-0.901772\pi\) |
0.213355 | − | 0.976975i | \(-0.431561\pi\) | |||||||
\(992\) | −1466.15 | + | 8314.92i | −0.0469256 | + | 0.266128i | ||||
\(993\) | −2417.19 | −0.0772479 | ||||||||
\(994\) | 1205.40 | − | 6836.19i | 0.0384639 | − | 0.218140i | ||||
\(995\) | −58713.9 | − | 49266.8i | −1.87071 | − | 1.56971i | ||||
\(996\) | −2401.80 | + | 874.184i | −0.0764096 | + | 0.0278108i | ||||
\(997\) | 23052.0 | + | 8390.24i | 0.732261 | + | 0.266521i | 0.681122 | − | 0.732170i | \(-0.261492\pi\) |
0.0511395 | + | 0.998692i | \(0.483715\pi\) | |||||||
\(998\) | 1645.74 | 0.0521994 | ||||||||
\(999\) | 8066.04 | + | 19225.7i | 0.255454 | + | 0.608882i |
(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 | 74.4.f.a.53.2 | yes | 24 | |
37.7 | even | 9 | inner | 74.4.f.a.7.2 | ✓ | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
74.4.f.a.7.2 | ✓ | 24 | 37.7 | even | 9 | inner | |
74.4.f.a.53.2 | yes | 24 | 1.1 | even | 1 | trivial |