Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [75,2,Mod(2,75)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(75, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("75.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 75 = 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 75.l (of order \(20\), degree \(8\), 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: | \(0.598878015160\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 62.8 | ||
Character | \(\chi\) | \(=\) | 75.62 |
Dual form | 75.2.l.a.23.8 |
$q$-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 \(\left(\mathbb{Z}/75\mathbb{Z}\right)^\times\).
\(n\) | \(26\) | \(52\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{9}{20}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.07952 | − | 0.329364i | 1.47044 | − | 0.232895i | 0.630762 | − | 0.775976i | \(-0.282742\pi\) |
0.839680 | + | 0.543081i | \(0.182742\pi\) | |||||||
\(3\) | −1.22169 | − | 1.22779i | −0.705342 | − | 0.708867i | ||||
\(4\) | 2.31381 | − | 0.751802i | 1.15690 | − | 0.375901i | ||||
\(5\) | −2.11007 | + | 0.740012i | −0.943651 | + | 0.330943i | ||||
\(6\) | −2.94492 | − | 2.15084i | −1.20226 | − | 0.878077i | ||||
\(7\) | 1.98257 | + | 1.98257i | 0.749340 | + | 0.749340i | 0.974355 | − | 0.225015i | \(-0.0722431\pi\) |
−0.225015 | + | 0.974355i | \(0.572243\pi\) | |||||||
\(8\) | 0.812071 | − | 0.413771i | 0.287110 | − | 0.146290i | ||||
\(9\) | −0.0149544 | + | 2.99996i | −0.00498479 | + | 0.999988i | ||||
\(10\) | −4.14419 | + | 2.23385i | −1.31051 | + | 0.706405i | ||||
\(11\) | −0.542989 | + | 0.747360i | −0.163717 | + | 0.225338i | −0.882992 | − | 0.469388i | \(-0.844474\pi\) |
0.719274 | + | 0.694726i | \(0.244474\pi\) | |||||||
\(12\) | −3.74981 | − | 1.92241i | −1.08248 | − | 0.554952i | ||||
\(13\) | 0.794440 | − | 5.01590i | 0.220338 | − | 1.39116i | −0.591042 | − | 0.806641i | \(-0.701283\pi\) |
0.811380 | − | 0.584519i | \(-0.198717\pi\) | |||||||
\(14\) | 4.77577 | + | 3.46980i | 1.27638 | + | 0.927344i | ||||
\(15\) | 3.48643 | + | 1.68666i | 0.900191 | + | 0.435494i | ||||
\(16\) | −2.38405 | + | 1.73211i | −0.596012 | + | 0.433028i | ||||
\(17\) | −2.38204 | − | 4.67502i | −0.577730 | − | 1.13386i | −0.976239 | − | 0.216695i | \(-0.930472\pi\) |
0.398509 | − | 0.917164i | \(-0.369528\pi\) | |||||||
\(18\) | 0.956980 | + | 6.24341i | 0.225562 | + | 1.47159i | ||||
\(19\) | −0.201787 | − | 0.0655644i | −0.0462930 | − | 0.0150415i | 0.285779 | − | 0.958296i | \(-0.407748\pi\) |
−0.332072 | + | 0.943254i | \(0.607748\pi\) | |||||||
\(20\) | −4.32595 | + | 3.29860i | −0.967312 | + | 0.737589i | ||||
\(21\) | 0.0121038 | − | 4.85626i | 0.00264127 | − | 1.05972i | ||||
\(22\) | −0.883003 | + | 1.73299i | −0.188257 | + | 0.369475i | ||||
\(23\) | 0.0321047 | + | 0.202701i | 0.00669428 | + | 0.0422660i | 0.990809 | − | 0.135266i | \(-0.0431888\pi\) |
−0.984115 | + | 0.177532i | \(0.943189\pi\) | |||||||
\(24\) | −1.50012 | − | 0.491557i | −0.306211 | − | 0.100339i | ||||
\(25\) | 3.90476 | − | 3.12295i | 0.780953 | − | 0.624590i | ||||
\(26\) | − | 10.6923i | − | 2.09694i | ||||||
\(27\) | 3.70160 | − | 3.64666i | 0.712374 | − | 0.701800i | ||||
\(28\) | 6.07778 | + | 3.09678i | 1.14859 | + | 0.585237i | ||||
\(29\) | 0.160641 | + | 0.494401i | 0.0298302 | + | 0.0918080i | 0.964863 | − | 0.262753i | \(-0.0846304\pi\) |
−0.935033 | + | 0.354561i | \(0.884630\pi\) | |||||||
\(30\) | 7.80562 | + | 2.35915i | 1.42510 | + | 0.430719i | ||||
\(31\) | −2.03788 | + | 6.27196i | −0.366015 | + | 1.12648i | 0.583329 | + | 0.812236i | \(0.301750\pi\) |
−0.949343 | + | 0.314241i | \(0.898250\pi\) | |||||||
\(32\) | −5.67611 | + | 5.67611i | −1.00340 | + | 1.00340i | ||||
\(33\) | 1.58097 | − | 0.246363i | 0.275211 | − | 0.0428863i | ||||
\(34\) | −6.49329 | − | 8.93724i | −1.11359 | − | 1.53272i | ||||
\(35\) | −5.65047 | − | 2.71623i | −0.955105 | − | 0.459126i | ||||
\(36\) | 2.22078 | + | 6.95258i | 0.370129 | + | 1.15876i | ||||
\(37\) | 2.33693 | + | 0.370134i | 0.384189 | + | 0.0608496i | 0.345542 | − | 0.938403i | \(-0.387695\pi\) |
0.0386473 | + | 0.999253i | \(0.487695\pi\) | |||||||
\(38\) | −0.441214 | − | 0.0698814i | −0.0715743 | − | 0.0113363i | ||||
\(39\) | −7.12905 | + | 5.15246i | −1.14156 | + | 0.825053i | ||||
\(40\) | −1.40733 | + | 1.47403i | −0.222518 | + | 0.233064i | ||||
\(41\) | 4.36217 | + | 6.00401i | 0.681256 | + | 0.937668i | 0.999948 | − | 0.0101899i | \(-0.00324361\pi\) |
−0.318692 | + | 0.947858i | \(0.603244\pi\) | |||||||
\(42\) | −1.57431 | − | 10.1027i | −0.242921 | − | 1.55888i | ||||
\(43\) | −0.516864 | + | 0.516864i | −0.0788210 | + | 0.0788210i | −0.745418 | − | 0.666597i | \(-0.767750\pi\) |
0.666597 | + | 0.745418i | \(0.267750\pi\) | |||||||
\(44\) | −0.694506 | + | 2.13747i | −0.104701 | + | 0.322236i | ||||
\(45\) | −2.18845 | − | 6.34119i | −0.326235 | − | 0.945289i | ||||
\(46\) | 0.133525 | + | 0.410946i | 0.0196871 | + | 0.0605907i | ||||
\(47\) | 8.19208 | + | 4.17408i | 1.19494 | + | 0.608851i | 0.934266 | − | 0.356576i | \(-0.116056\pi\) |
0.260672 | + | 0.965427i | \(0.416056\pi\) | |||||||
\(48\) | 5.03924 | + | 0.811018i | 0.727352 | + | 0.117060i | ||||
\(49\) | 0.861150i | 0.123021i | ||||||||
\(50\) | 7.09145 | − | 7.78032i | 1.00288 | − | 1.10030i | ||||
\(51\) | −2.82985 | + | 8.63608i | −0.396258 | + | 1.20929i | ||||
\(52\) | −1.93278 | − | 12.2031i | −0.268028 | − | 1.69226i | ||||
\(53\) | 5.30087 | − | 10.4035i | 0.728130 | − | 1.42904i | −0.168248 | − | 0.985745i | \(-0.553811\pi\) |
0.896378 | − | 0.443291i | \(-0.146189\pi\) | |||||||
\(54\) | 6.49648 | − | 8.80247i | 0.884059 | − | 1.19786i | ||||
\(55\) | 0.592688 | − | 1.97880i | 0.0799180 | − | 0.266821i | ||||
\(56\) | 2.43031 | + | 0.789657i | 0.324764 | + | 0.105522i | ||||
\(57\) | 0.166021 | + | 0.327852i | 0.0219900 | + | 0.0434250i | ||||
\(58\) | 0.496893 | + | 0.975208i | 0.0652453 | + | 0.128051i | ||||
\(59\) | −0.0415323 | + | 0.0301750i | −0.00540705 | + | 0.00392845i | −0.590485 | − | 0.807048i | \(-0.701064\pi\) |
0.585078 | + | 0.810977i | \(0.301064\pi\) | |||||||
\(60\) | 9.33496 | + | 1.28151i | 1.20514 | + | 0.165442i | ||||
\(61\) | −3.17882 | − | 2.30955i | −0.407006 | − | 0.295707i | 0.365382 | − | 0.930857i | \(-0.380938\pi\) |
−0.772389 | + | 0.635150i | \(0.780938\pi\) | |||||||
\(62\) | −2.17206 | + | 13.7139i | −0.275852 | + | 1.74166i | ||||
\(63\) | −5.97728 | + | 5.91798i | −0.753066 | + | 0.745596i | ||||
\(64\) | −6.46985 | + | 8.90499i | −0.808731 | + | 1.11312i | ||||
\(65\) | 2.03550 | + | 11.1718i | 0.252473 | + | 1.38569i | ||||
\(66\) | 3.20651 | − | 1.03303i | 0.394694 | − | 0.127157i | ||||
\(67\) | −4.08589 | + | 2.08186i | −0.499170 | + | 0.254340i | −0.685401 | − | 0.728166i | \(-0.740373\pi\) |
0.186230 | + | 0.982506i | \(0.440373\pi\) | |||||||
\(68\) | −9.02628 | − | 9.02628i | −1.09460 | − | 1.09460i | ||||
\(69\) | 0.209653 | − | 0.287055i | 0.0252392 | − | 0.0345574i | ||||
\(70\) | −12.6449 | − | 3.78739i | −1.51135 | − | 0.452679i | ||||
\(71\) | 3.13172 | − | 1.01756i | 0.371667 | − | 0.120762i | −0.117227 | − | 0.993105i | \(-0.537400\pi\) |
0.488894 | + | 0.872343i | \(0.337400\pi\) | |||||||
\(72\) | 1.22915 | + | 2.44237i | 0.144857 | + | 0.287836i | ||||
\(73\) | −11.2465 | + | 1.78126i | −1.31630 | + | 0.208481i | −0.774792 | − | 0.632216i | \(-0.782145\pi\) |
−0.541505 | + | 0.840697i | \(0.682145\pi\) | |||||||
\(74\) | 4.98160 | 0.579100 | ||||||||
\(75\) | −8.60474 | − | 0.978973i | −0.993590 | − | 0.113042i | ||||
\(76\) | −0.516187 | −0.0592107 | ||||||||
\(77\) | −2.55821 | + | 0.405180i | −0.291535 | + | 0.0461745i | ||||
\(78\) | −13.1280 | + | 13.0627i | −1.48645 | + | 1.47906i | ||||
\(79\) | 3.90882 | − | 1.27005i | 0.439776 | − | 0.142892i | −0.0807561 | − | 0.996734i | \(-0.525733\pi\) |
0.520532 | + | 0.853842i | \(0.325733\pi\) | |||||||
\(80\) | 3.74872 | − | 5.41910i | 0.419120 | − | 0.605874i | ||||
\(81\) | −8.99955 | − | 0.0897252i | −0.999950 | − | 0.00996946i | ||||
\(82\) | 11.0487 | + | 11.0487i | 1.22013 | + | 1.22013i | ||||
\(83\) | −13.9694 | + | 7.11778i | −1.53335 | + | 0.781278i | −0.997991 | − | 0.0633496i | \(-0.979822\pi\) |
−0.535354 | + | 0.844628i | \(0.679822\pi\) | |||||||
\(84\) | −3.62294 | − | 11.2456i | −0.395296 | − | 1.22699i | ||||
\(85\) | 8.48584 | + | 8.10187i | 0.920419 | + | 0.878771i | ||||
\(86\) | −0.904592 | + | 1.24506i | −0.0975447 | + | 0.134259i | ||||
\(87\) | 0.410770 | − | 0.801238i | 0.0440391 | − | 0.0859017i | ||||
\(88\) | −0.131710 | + | 0.831583i | −0.0140403 | + | 0.0886470i | ||||
\(89\) | −6.24638 | − | 4.53826i | −0.662115 | − | 0.481054i | 0.205262 | − | 0.978707i | \(-0.434195\pi\) |
−0.867376 | + | 0.497653i | \(0.834195\pi\) | |||||||
\(90\) | −6.63949 | − | 12.4658i | −0.699864 | − | 1.31401i | ||||
\(91\) | 11.5194 | − | 8.36933i | 1.20756 | − | 0.877344i | ||||
\(92\) | 0.226675 | + | 0.444875i | 0.0236325 | + | 0.0463814i | ||||
\(93\) | 10.1903 | − | 5.16028i | 1.05669 | − | 0.535096i | ||||
\(94\) | 18.4104 | + | 5.98190i | 1.89889 | + | 0.616986i | ||||
\(95\) | 0.474302 | − | 0.0109792i | 0.0486623 | − | 0.00112644i | ||||
\(96\) | 13.9035 | + | 0.0346533i | 1.41902 | + | 0.00353679i | ||||
\(97\) | −4.00961 | + | 7.86930i | −0.407114 | + | 0.799006i | −0.999980 | − | 0.00629464i | \(-0.997996\pi\) |
0.592866 | + | 0.805301i | \(0.297996\pi\) | |||||||
\(98\) | 0.283631 | + | 1.79078i | 0.0286511 | + | 0.180896i | ||||
\(99\) | −2.23393 | − | 1.64012i | −0.224519 | − | 0.164839i | ||||
\(100\) | 6.68704 | − | 10.1615i | 0.668704 | − | 1.01615i | ||||
\(101\) | − | 5.72257i | − | 0.569417i | −0.958614 | − | 0.284709i | \(-0.908103\pi\) | ||
0.958614 | − | 0.284709i | \(-0.0918969\pi\) | |||||||
\(102\) | −3.04032 | + | 18.8909i | −0.301036 | + | 1.87048i | ||||
\(103\) | −2.02479 | − | 1.03168i | −0.199508 | − | 0.101655i | 0.351382 | − | 0.936232i | \(-0.385712\pi\) |
−0.550891 | + | 0.834578i | \(0.685712\pi\) | |||||||
\(104\) | −1.43029 | − | 4.40198i | −0.140252 | − | 0.431650i | ||||
\(105\) | 3.56815 | + | 10.2560i | 0.348216 | + | 1.00088i | ||||
\(106\) | 7.59671 | − | 23.3803i | 0.737858 | − | 2.27089i | ||||
\(107\) | 0.338061 | − | 0.338061i | 0.0326816 | − | 0.0326816i | −0.690577 | − | 0.723259i | \(-0.742643\pi\) |
0.723259 | + | 0.690577i | \(0.242643\pi\) | |||||||
\(108\) | 5.82324 | − | 11.2205i | 0.560341 | − | 1.07970i | ||||
\(109\) | −2.94311 | − | 4.05085i | −0.281899 | − | 0.388001i | 0.644463 | − | 0.764636i | \(-0.277081\pi\) |
−0.926362 | + | 0.376635i | \(0.877081\pi\) | |||||||
\(110\) | 0.580761 | − | 4.31016i | 0.0553734 | − | 0.410958i | ||||
\(111\) | −2.40055 | − | 3.32146i | −0.227851 | − | 0.315259i | ||||
\(112\) | −8.16057 | − | 1.29251i | −0.771102 | − | 0.122131i | ||||
\(113\) | 5.72305 | + | 0.906443i | 0.538380 | + | 0.0852710i | 0.419702 | − | 0.907662i | \(-0.362135\pi\) |
0.118678 | + | 0.992933i | \(0.462135\pi\) | |||||||
\(114\) | 0.453226 | + | 0.627093i | 0.0424485 | + | 0.0587326i | ||||
\(115\) | −0.217744 | − | 0.403955i | −0.0203047 | − | 0.0376690i | ||||
\(116\) | 0.743383 | + | 1.02318i | 0.0690214 | + | 0.0949998i | ||||
\(117\) | 15.0356 | + | 2.45830i | 1.39004 | + | 0.227270i | ||||
\(118\) | −0.0764287 | + | 0.0764287i | −0.00703583 | + | 0.00703583i | ||||
\(119\) | 4.54599 | − | 13.9911i | 0.416730 | − | 1.28256i | ||||
\(120\) | 3.52912 | − | 0.0728920i | 0.322163 | − | 0.00665410i | ||||
\(121\) | 3.13548 | + | 9.65000i | 0.285043 | + | 0.877273i | ||||
\(122\) | −7.37110 | − | 3.75576i | −0.667348 | − | 0.340031i | ||||
\(123\) | 2.04247 | − | 12.6909i | 0.184164 | − | 1.14430i | ||||
\(124\) | 16.0442i | 1.44081i | ||||||||
\(125\) | −5.92829 | + | 9.47921i | −0.530243 | + | 0.847846i | ||||
\(126\) | −10.4807 | + | 14.2753i | −0.933695 | + | 1.27174i | ||||
\(127\) | −2.03459 | − | 12.8459i | −0.180541 | − | 1.13989i | −0.896924 | − | 0.442184i | \(-0.854204\pi\) |
0.716383 | − | 0.697707i | \(-0.245796\pi\) | |||||||
\(128\) | −3.23263 | + | 6.34440i | −0.285727 | + | 0.560771i | ||||
\(129\) | 1.26605 | + | 0.00315552i | 0.111469 | + | 0.000277828i | ||||
\(130\) | 7.91245 | + | 22.5615i | 0.693967 | + | 1.97878i | ||||
\(131\) | 19.2637 | + | 6.25917i | 1.68308 | + | 0.546866i | 0.985505 | − | 0.169646i | \(-0.0542624\pi\) |
0.697575 | + | 0.716512i | \(0.254262\pi\) | |||||||
\(132\) | 3.47284 | − | 1.75861i | 0.302272 | − | 0.153068i | ||||
\(133\) | −0.270070 | − | 0.530041i | −0.0234180 | − | 0.0459604i | ||||
\(134\) | −7.81099 | + | 5.67502i | −0.674767 | + | 0.490247i | ||||
\(135\) | −5.11206 | + | 10.4339i | −0.439976 | + | 0.898009i | ||||
\(136\) | −3.86878 | − | 2.81083i | −0.331745 | − | 0.241027i | ||||
\(137\) | 1.75026 | − | 11.0507i | 0.149534 | − | 0.944123i | −0.792808 | − | 0.609472i | \(-0.791381\pi\) |
0.942342 | − | 0.334651i | \(-0.108619\pi\) | |||||||
\(138\) | 0.341432 | − | 0.665989i | 0.0290646 | − | 0.0566927i | ||||
\(139\) | 2.00883 | − | 2.76492i | 0.170387 | − | 0.234517i | −0.715281 | − | 0.698837i | \(-0.753701\pi\) |
0.885668 | + | 0.464320i | \(0.153701\pi\) | |||||||
\(140\) | −15.1162 | − | 2.03679i | −1.27755 | − | 0.172140i | ||||
\(141\) | −4.88327 | − | 15.1576i | −0.411246 | − | 1.27650i | ||||
\(142\) | 6.17734 | − | 3.14751i | 0.518391 | − | 0.264133i | ||||
\(143\) | 3.31731 | + | 3.31731i | 0.277408 | + | 0.277408i | ||||
\(144\) | −5.16062 | − | 7.17796i | −0.430052 | − | 0.598164i | ||||
\(145\) | −0.704825 | − | 0.924343i | −0.0585326 | − | 0.0767625i | ||||
\(146\) | −22.8005 | + | 7.40834i | −1.88699 | + | 0.613119i | ||||
\(147\) | 1.05731 | − | 1.05206i | 0.0872058 | − | 0.0867722i | ||||
\(148\) | 5.68548 | − | 0.900492i | 0.467344 | − | 0.0740199i | ||||
\(149\) | 4.86008 | 0.398153 | 0.199077 | − | 0.979984i | \(-0.436206\pi\) | ||||
0.199077 | + | 0.979984i | \(0.436206\pi\) | |||||||
\(150\) | −18.2162 | + | 0.798296i | −1.48734 | + | 0.0651806i | ||||
\(151\) | 8.48112 | 0.690184 | 0.345092 | − | 0.938569i | \(-0.387848\pi\) | ||||
0.345092 | + | 0.938569i | \(0.387848\pi\) | |||||||
\(152\) | −0.190994 | + | 0.0302504i | −0.0154916 | + | 0.00245363i | ||||
\(153\) | 14.0605 | − | 7.07613i | 1.13673 | − | 0.572071i | ||||
\(154\) | −5.18639 | + | 1.68516i | −0.417931 | + | 0.135794i | ||||
\(155\) | −0.341256 | − | 14.7423i | −0.0274103 | − | 1.18413i | ||||
\(156\) | −12.6216 | + | 17.2814i | −1.01054 | + | 1.38362i | ||||
\(157\) | −10.9610 | − | 10.9610i | −0.874786 | − | 0.874786i | 0.118204 | − | 0.992989i | \(-0.462286\pi\) |
−0.992989 | + | 0.118204i | \(0.962286\pi\) | |||||||
\(158\) | 7.71015 | − | 3.92852i | 0.613387 | − | 0.312536i | ||||
\(159\) | −19.2494 | + | 6.20151i | −1.52658 | + | 0.491812i | ||||
\(160\) | 7.77658 | − | 16.1774i | 0.614793 | − | 1.27893i | ||||
\(161\) | −0.338219 | + | 0.465518i | −0.0266554 | + | 0.0366879i | ||||
\(162\) | −18.7443 | + | 2.77754i | −1.47269 | + | 0.218224i | ||||
\(163\) | −2.79341 | + | 17.6369i | −0.218797 | + | 1.38143i | 0.596605 | + | 0.802535i | \(0.296516\pi\) |
−0.815402 | + | 0.578895i | \(0.803484\pi\) | |||||||
\(164\) | 14.6070 | + | 10.6126i | 1.14062 | + | 0.828708i | ||||
\(165\) | −3.15364 | + | 1.68978i | −0.245510 | + | 0.131549i | ||||
\(166\) | −26.7054 | + | 19.4026i | −2.07274 | + | 1.50593i | ||||
\(167\) | 4.18368 | + | 8.21094i | 0.323743 | + | 0.635381i | 0.994317 | − | 0.106461i | \(-0.0339521\pi\) |
−0.670574 | + | 0.741843i | \(0.733952\pi\) | |||||||
\(168\) | −1.99955 | − | 3.94864i | −0.154269 | − | 0.304644i | ||||
\(169\) | −12.1644 | − | 3.95244i | −0.935721 | − | 0.304034i | ||||
\(170\) | 20.3149 | + | 14.0531i | 1.55808 | + | 1.07782i | ||||
\(171\) | 0.199708 | − | 0.604372i | 0.0152721 | − | 0.0462175i | ||||
\(172\) | −0.807345 | + | 1.58450i | −0.0615595 | + | 0.120817i | ||||
\(173\) | 1.96990 | + | 12.4375i | 0.149769 | + | 0.945602i | 0.942056 | + | 0.335454i | \(0.108890\pi\) |
−0.792288 | + | 0.610148i | \(0.791110\pi\) | |||||||
\(174\) | 0.590305 | − | 1.80148i | 0.0447509 | − | 0.136570i | ||||
\(175\) | 13.9329 | + | 1.55000i | 1.05323 | + | 0.117169i | ||||
\(176\) | − | 2.72226i | − | 0.205198i | ||||||
\(177\) | 0.0877882 | + | 0.0141287i | 0.00659857 | + | 0.00106198i | ||||
\(178\) | −14.4842 | − | 7.38007i | −1.08564 | − | 0.553160i | ||||
\(179\) | 3.09902 | + | 9.53780i | 0.231631 | + | 0.712888i | 0.997550 | + | 0.0699512i | \(0.0222844\pi\) |
−0.765919 | + | 0.642937i | \(0.777716\pi\) | |||||||
\(180\) | −9.83098 | − | 13.0270i | −0.732758 | − | 0.970976i | ||||
\(181\) | −1.02409 | + | 3.15183i | −0.0761202 | + | 0.234274i | −0.981875 | − | 0.189527i | \(-0.939304\pi\) |
0.905755 | + | 0.423801i | \(0.139304\pi\) | |||||||
\(182\) | 21.1982 | − | 21.1982i | 1.57132 | − | 1.57132i | ||||
\(183\) | 1.04788 | + | 6.72448i | 0.0774615 | + | 0.497088i | ||||
\(184\) | 0.109943 | + | 0.151324i | 0.00810510 | + | 0.0111557i | ||||
\(185\) | −5.20499 | + | 0.948351i | −0.382678 | + | 0.0697241i | ||||
\(186\) | 19.4914 | − | 14.0872i | 1.42918 | − | 1.03293i | ||||
\(187\) | 4.78735 | + | 0.758242i | 0.350086 | + | 0.0554481i | ||||
\(188\) | 22.0930 | + | 3.49919i | 1.61130 | + | 0.255204i | ||||
\(189\) | 14.5684 | + | 0.108933i | 1.05970 | + | 0.00792374i | ||||
\(190\) | 0.982703 | − | 0.179049i | 0.0712928 | − | 0.0129896i | ||||
\(191\) | −5.50332 | − | 7.57467i | −0.398206 | − | 0.548084i | 0.562086 | − | 0.827079i | \(-0.309999\pi\) |
−0.960293 | + | 0.278995i | \(0.909999\pi\) | |||||||
\(192\) | 18.8376 | − | 2.93548i | 1.35949 | − | 0.211850i | ||||
\(193\) | 1.55757 | − | 1.55757i | 0.112116 | − | 0.112116i | −0.648823 | − | 0.760939i | \(-0.724738\pi\) |
0.760939 | + | 0.648823i | \(0.224738\pi\) | |||||||
\(194\) | −5.74620 | + | 17.6850i | −0.412553 | + | 1.26971i | ||||
\(195\) | 11.2299 | − | 16.1476i | 0.804189 | − | 1.15635i | ||||
\(196\) | 0.647414 | + | 1.99254i | 0.0462439 | + | 0.142324i | ||||
\(197\) | −13.7702 | − | 7.01627i | −0.981087 | − | 0.499889i | −0.111551 | − | 0.993759i | \(-0.535582\pi\) |
−0.869536 | + | 0.493870i | \(0.835582\pi\) | |||||||
\(198\) | −5.18571 | − | 2.67489i | −0.368532 | − | 0.190096i | ||||
\(199\) | − | 6.87281i | − | 0.487200i | −0.969876 | − | 0.243600i | \(-0.921672\pi\) | ||
0.969876 | − | 0.243600i | \(-0.0783285\pi\) | |||||||
\(200\) | 1.87876 | − | 4.15173i | 0.132848 | − | 0.293572i | ||||
\(201\) | 7.54778 | + | 2.47324i | 0.532379 | + | 0.174449i | ||||
\(202\) | −1.88481 | − | 11.9002i | −0.132615 | − | 0.837295i | ||||
\(203\) | −0.661703 | + | 1.29866i | −0.0464424 | + | 0.0911484i | ||||
\(204\) | −0.0551065 | + | 22.1097i | −0.00385823 | + | 1.54799i | ||||
\(205\) | −13.6475 | − | 9.44080i | −0.953183 | − | 0.659374i | ||||
\(206\) | −4.55039 | − | 1.47851i | −0.317041 | − | 0.103013i | ||||
\(207\) | −0.608575 | + | 0.0932815i | −0.0422989 | + | 0.00648351i | ||||
\(208\) | 6.79412 | + | 13.3342i | 0.471088 | + | 0.924561i | ||||
\(209\) | 0.158568 | − | 0.115207i | 0.0109684 | − | 0.00796900i | ||||
\(210\) | 10.7980 | + | 20.1523i | 0.745133 | + | 1.39064i | ||||
\(211\) | −3.79498 | − | 2.75721i | −0.261257 | − | 0.189814i | 0.449444 | − | 0.893309i | \(-0.351622\pi\) |
−0.710701 | + | 0.703494i | \(0.751622\pi\) | |||||||
\(212\) | 4.44379 | − | 28.0570i | 0.305201 | − | 1.92696i | ||||
\(213\) | −5.07534 | − | 2.60197i | −0.347757 | − | 0.178284i | ||||
\(214\) | 0.591659 | − | 0.814349i | 0.0404450 | − | 0.0556677i | ||||
\(215\) | 0.708132 | − | 1.47310i | 0.0482942 | − | 0.100465i | ||||
\(216\) | 1.49708 | − | 4.49296i | 0.101864 | − | 0.305707i | ||||
\(217\) | −16.4748 | + | 8.39434i | −1.11838 | + | 0.569845i | ||||
\(218\) | −7.45447 | − | 7.45447i | −0.504880 | − | 0.504880i | ||||
\(219\) | 15.9267 | + | 11.6322i | 1.07623 | + | 0.786029i | ||||
\(220\) | −0.116299 | − | 5.02415i | −0.00784089 | − | 0.338728i | ||||
\(221\) | −25.3418 | + | 8.23406i | −1.70468 | + | 0.553883i | ||||
\(222\) | −6.08597 | − | 6.11638i | −0.408463 | − | 0.410505i | ||||
\(223\) | 16.4719 | − | 2.60889i | 1.10304 | − | 0.174704i | 0.421745 | − | 0.906715i | \(-0.361418\pi\) |
0.681293 | + | 0.732010i | \(0.261418\pi\) | |||||||
\(224\) | −22.5065 | −1.50378 | ||||||||
\(225\) | 9.31034 | + | 11.7608i | 0.620689 | + | 0.784057i | ||||
\(226\) | 12.1998 | 0.811516 | ||||||||
\(227\) | −21.5699 | + | 3.41634i | −1.43164 | + | 0.226750i | −0.823608 | − | 0.567159i | \(-0.808042\pi\) |
−0.608036 | + | 0.793909i | \(0.708042\pi\) | |||||||
\(228\) | 0.630620 | + | 0.633771i | 0.0417638 | + | 0.0419725i | ||||
\(229\) | 14.7727 | − | 4.79995i | 0.976209 | − | 0.317190i | 0.222889 | − | 0.974844i | \(-0.428451\pi\) |
0.753320 | + | 0.657654i | \(0.228451\pi\) | |||||||
\(230\) | −0.585851 | − | 0.768314i | −0.0386299 | − | 0.0506612i | ||||
\(231\) | 3.62281 | + | 2.64594i | 0.238363 | + | 0.174090i | ||||
\(232\) | 0.335020 | + | 0.335020i | 0.0219952 | + | 0.0219952i | ||||
\(233\) | 4.97593 | − | 2.53536i | 0.325984 | − | 0.166097i | −0.283338 | − | 0.959020i | \(-0.591442\pi\) |
0.609322 | + | 0.792923i | \(0.291442\pi\) | |||||||
\(234\) | 32.0766 | + | 0.159897i | 2.09691 | + | 0.0104528i | ||||
\(235\) | −20.3747 | − | 2.74534i | −1.32910 | − | 0.179086i | ||||
\(236\) | −0.0734122 | + | 0.101043i | −0.00477873 | + | 0.00657735i | ||||
\(237\) | −6.33472 | − | 3.24761i | −0.411484 | − | 0.210955i | ||||
\(238\) | 4.84531 | − | 30.5921i | 0.314075 | − | 1.98299i | ||||
\(239\) | −14.9846 | − | 10.8869i | −0.969271 | − | 0.704217i | −0.0139860 | − | 0.999902i | \(-0.504452\pi\) |
−0.955285 | + | 0.295685i | \(0.904452\pi\) | |||||||
\(240\) | −11.2333 | + | 2.01780i | −0.725107 | + | 0.130248i | ||||
\(241\) | −10.4630 | + | 7.60183i | −0.673982 | + | 0.489677i | −0.871356 | − | 0.490651i | \(-0.836759\pi\) |
0.197373 | + | 0.980328i | \(0.436759\pi\) | |||||||
\(242\) | 9.69864 | + | 19.0347i | 0.623453 | + | 1.22359i | ||||
\(243\) | 10.8845 | + | 11.1592i | 0.698240 | + | 0.715864i | ||||
\(244\) | −9.09151 | − | 2.95401i | −0.582024 | − | 0.189111i | ||||
\(245\) | −0.637262 | − | 1.81708i | −0.0407131 | − | 0.116089i | ||||
\(246\) | 0.0674537 | − | 27.0636i | 0.00430069 | − | 1.72551i | ||||
\(247\) | −0.489172 | + | 0.960054i | −0.0311253 | + | 0.0610868i | ||||
\(248\) | 0.940248 | + | 5.93649i | 0.0597058 | + | 0.376968i | ||||
\(249\) | 25.8055 | + | 8.45587i | 1.63536 | + | 0.535869i | ||||
\(250\) | −9.20590 | + | 21.6648i | −0.582232 | + | 1.37020i | ||||
\(251\) | − | 4.70685i | − | 0.297094i | −0.988905 | − | 0.148547i | \(-0.952540\pi\) | ||
0.988905 | − | 0.148547i | \(-0.0474596\pi\) | |||||||
\(252\) | −9.38113 | + | 18.1868i | −0.590955 | + | 1.14566i | ||||
\(253\) | −0.168923 | − | 0.0860706i | −0.0106201 | − | 0.00541121i | ||||
\(254\) | −8.46195 | − | 26.0432i | −0.530950 | − | 1.63410i | ||||
\(255\) | −0.419633 | − | 20.3168i | −0.0262784 | − | 1.27229i | ||||
\(256\) | 2.17010 | − | 6.67887i | 0.135631 | − | 0.417429i | ||||
\(257\) | 11.3472 | − | 11.3472i | 0.707820 | − | 0.707820i | −0.258256 | − | 0.966076i | \(-0.583148\pi\) |
0.966076 | + | 0.258256i | \(0.0831479\pi\) | |||||||
\(258\) | 2.63381 | − | 0.410428i | 0.163974 | − | 0.0255522i | ||||
\(259\) | 3.89931 | + | 5.36694i | 0.242291 | + | 0.333485i | ||||
\(260\) | 13.1087 | + | 24.3191i | 0.812969 | + | 1.50820i | ||||
\(261\) | −1.48559 | + | 0.474522i | −0.0919555 | + | 0.0293722i | ||||
\(262\) | 42.1209 | + | 6.67129i | 2.60223 | + | 0.412154i | ||||
\(263\) | −7.06296 | − | 1.11866i | −0.435521 | − | 0.0689797i | −0.0651753 | − | 0.997874i | \(-0.520761\pi\) |
−0.370345 | + | 0.928894i | \(0.620761\pi\) | |||||||
\(264\) | 1.18192 | − | 0.854223i | 0.0727422 | − | 0.0525738i | ||||
\(265\) | −3.48644 | + | 25.8749i | −0.214170 | + | 1.58948i | ||||
\(266\) | −0.736191 | − | 1.01328i | −0.0451388 | − | 0.0621282i | ||||
\(267\) | 2.05908 | + | 13.2136i | 0.126014 | + | 0.808659i | ||||
\(268\) | −7.88881 | + | 7.88881i | −0.481886 | + | 0.481886i | ||||
\(269\) | 0.354740 | − | 1.09178i | 0.0216289 | − | 0.0665668i | −0.939660 | − | 0.342111i | \(-0.888858\pi\) |
0.961288 | + | 0.275544i | \(0.0888581\pi\) | |||||||
\(270\) | −7.19408 | + | 23.3813i | −0.437818 | + | 1.42294i | ||||
\(271\) | −2.97307 | − | 9.15016i | −0.180601 | − | 0.555832i | 0.819244 | − | 0.573445i | \(-0.194393\pi\) |
−0.999845 | + | 0.0176127i | \(0.994393\pi\) | |||||||
\(272\) | 13.7766 | + | 7.01952i | 0.835328 | + | 0.425621i | ||||
\(273\) | −24.3489 | − | 3.91872i | −1.47366 | − | 0.237172i | ||||
\(274\) | − | 23.5566i | − | 1.42310i | ||||||
\(275\) | 0.213725 | + | 4.61399i | 0.0128881 | + | 0.278234i | ||||
\(276\) | 0.269288 | − | 0.821808i | 0.0162092 | − | 0.0494670i | ||||
\(277\) | 3.59160 | + | 22.6764i | 0.215798 | + | 1.36250i | 0.823042 | + | 0.567980i | \(0.192275\pi\) |
−0.607244 | + | 0.794515i | \(0.707725\pi\) | |||||||
\(278\) | 3.26674 | − | 6.41134i | 0.195926 | − | 0.384527i | ||||
\(279\) | −18.7852 | − | 6.20737i | −1.12464 | − | 0.371625i | ||||
\(280\) | −5.71248 | + | 0.132233i | −0.341386 | + | 0.00790242i | ||||
\(281\) | 8.86944 | + | 2.88186i | 0.529107 | + | 0.171917i | 0.561374 | − | 0.827562i | \(-0.310273\pi\) |
−0.0322675 | + | 0.999479i | \(0.510273\pi\) | |||||||
\(282\) | −15.1472 | − | 29.9122i | −0.902004 | − | 1.78124i | ||||
\(283\) | −15.1028 | − | 29.6409i | −0.897769 | − | 1.76197i | −0.582143 | − | 0.813087i | \(-0.697786\pi\) |
−0.315626 | − | 0.948884i | \(-0.602214\pi\) | |||||||
\(284\) | 6.48121 | − | 4.70887i | 0.384589 | − | 0.279420i | ||||
\(285\) | −0.592929 | − | 0.568931i | −0.0351221 | − | 0.0337006i | ||||
\(286\) | 7.99102 | + | 5.80581i | 0.472519 | + | 0.343305i | ||||
\(287\) | −3.25506 | + | 20.5516i | −0.192140 | + | 1.21313i | ||||
\(288\) | −16.9432 | − | 17.1130i | −0.998390 | − | 1.00839i | ||||
\(289\) | −6.18935 | + | 8.51891i | −0.364080 | + | 0.501112i | ||||
\(290\) | −1.77014 | − | 1.69005i | −0.103946 | − | 0.0992429i | ||||
\(291\) | 14.5604 | − | 4.69086i | 0.853544 | − | 0.274983i | ||||
\(292\) | −24.6830 | + | 12.5766i | −1.44446 | + | 0.735990i | ||||
\(293\) | 19.5495 | + | 19.5495i | 1.14209 | + | 1.14209i | 0.988067 | + | 0.154025i | \(0.0492235\pi\) |
0.154025 | + | 0.988067i | \(0.450776\pi\) | |||||||
\(294\) | 1.85220 | − | 2.53601i | 0.108022 | − | 0.147903i | ||||
\(295\) | 0.0653061 | − | 0.0944057i | 0.00380227 | − | 0.00549651i | ||||
\(296\) | 2.05090 | − | 0.666379i | 0.119206 | − | 0.0387325i | ||||
\(297\) | 0.715438 | + | 4.74653i | 0.0415139 | + | 0.275422i | ||||
\(298\) | 10.1066 | − | 1.60073i | 0.585462 | − | 0.0927280i | ||||
\(299\) | 1.04223 | 0.0602738 | ||||||||
\(300\) | −20.6457 | + | 4.20391i | −1.19198 | + | 0.242713i | ||||
\(301\) | −2.04944 | −0.118127 | ||||||||
\(302\) | 17.6367 | − | 2.79337i | 1.01488 | − | 0.160741i | ||||
\(303\) | −7.02614 | + | 6.99120i | −0.403641 | + | 0.401634i | ||||
\(304\) | 0.594634 | − | 0.193208i | 0.0341046 | − | 0.0110813i | ||||
\(305\) | 8.41662 | + | 2.52094i | 0.481934 | + | 0.144348i | ||||
\(306\) | 26.9085 | − | 19.3460i | 1.53826 | − | 1.10594i | ||||
\(307\) | 16.9428 | + | 16.9428i | 0.966975 | + | 0.966975i | 0.999472 | − | 0.0324970i | \(-0.0103459\pi\) |
−0.0324970 | + | 0.999472i | \(0.510346\pi\) | |||||||
\(308\) | −5.61458 | + | 2.86077i | −0.319921 | + | 0.163008i | ||||
\(309\) | 1.20697 | + | 3.74642i | 0.0686621 | + | 0.213126i | ||||
\(310\) | −5.56523 | − | 30.5445i | −0.316084 | − | 1.73481i | ||||
\(311\) | 1.70402 | − | 2.34539i | 0.0966263 | − | 0.132995i | −0.757966 | − | 0.652294i | \(-0.773807\pi\) |
0.854593 | + | 0.519299i | \(0.173807\pi\) | |||||||
\(312\) | −3.65736 | + | 7.13395i | −0.207057 | + | 0.403881i | ||||
\(313\) | −2.13060 | + | 13.4521i | −0.120429 | + | 0.760357i | 0.851374 | + | 0.524560i | \(0.175770\pi\) |
−0.971802 | + | 0.235797i | \(0.924230\pi\) | |||||||
\(314\) | −26.4038 | − | 19.1835i | −1.49006 | − | 1.08259i | ||||
\(315\) | 8.23308 | − | 16.9106i | 0.463881 | − | 0.952804i | ||||
\(316\) | 8.08943 | − | 5.87731i | 0.455066 | − | 0.330625i | ||||
\(317\) | −13.7296 | − | 26.9459i | −0.771132 | − | 1.51343i | −0.855963 | − | 0.517037i | \(-0.827035\pi\) |
0.0848304 | − | 0.996395i | \(-0.472965\pi\) | |||||||
\(318\) | −37.9870 | + | 19.2362i | −2.13020 | + | 1.07871i | ||||
\(319\) | −0.456722 | − | 0.148398i | −0.0255715 | − | 0.00830869i | ||||
\(320\) | 7.06202 | − | 23.5779i | 0.394779 | − | 1.31804i | ||||
\(321\) | −0.828074 | − | 0.00206390i | −0.0462186 | − | 0.000115196i | ||||
\(322\) | −0.550007 | + | 1.07945i | −0.0306507 | + | 0.0601554i | ||||
\(323\) | 0.174149 | + | 1.09953i | 0.00968991 | + | 0.0611797i | ||||
\(324\) | −20.8907 | + | 6.55828i | −1.16059 | + | 0.364349i | ||||
\(325\) | −12.5623 | − | 22.0669i | −0.696831 | − | 1.22405i | ||||
\(326\) | 37.5964i | 2.08227i | ||||||||
\(327\) | −1.37804 | + | 8.56241i | −0.0762057 | + | 0.473503i | ||||
\(328\) | 6.02667 | + | 3.07074i | 0.332767 | + | 0.169553i | ||||
\(329\) | 7.96597 | + | 24.5167i | 0.439178 | + | 1.35165i | ||||
\(330\) | −6.00150 | + | 4.55262i | −0.330372 | + | 0.250613i | ||||
\(331\) | −2.97741 | + | 9.16351i | −0.163653 | + | 0.503672i | −0.998935 | − | 0.0461504i | \(-0.985305\pi\) |
0.835282 | + | 0.549823i | \(0.185305\pi\) | |||||||
\(332\) | −26.9714 | + | 26.9714i | −1.48025 | + | 1.48025i | ||||
\(333\) | −1.14533 | + | 7.00517i | −0.0627639 | + | 0.383881i | ||||
\(334\) | 11.4044 | + | 15.6969i | 0.624023 | + | 0.858894i | ||||
\(335\) | 7.08089 | − | 7.41647i | 0.386870 | − | 0.405205i | ||||
\(336\) | 8.38275 | + | 11.5985i | 0.457316 | + | 0.632752i | ||||
\(337\) | 7.78320 | + | 1.23274i | 0.423978 | + | 0.0671515i | 0.364778 | − | 0.931095i | \(-0.381145\pi\) |
0.0592003 | + | 0.998246i | \(0.481145\pi\) | |||||||
\(338\) | −26.5978 | − | 4.21268i | −1.44673 | − | 0.229140i | ||||
\(339\) | −5.87887 | − | 8.13412i | −0.319296 | − | 0.441785i | ||||
\(340\) | 25.7256 | + | 12.3665i | 1.39517 | + | 0.670668i | ||||
\(341\) | −3.58087 | − | 4.92864i | −0.193915 | − | 0.266901i | ||||
\(342\) | 0.216240 | − | 1.32258i | 0.0116929 | − | 0.0715169i | ||||
\(343\) | 12.1707 | − | 12.1707i | 0.657155 | − | 0.657155i | ||||
\(344\) | −0.205867 | + | 0.633593i | −0.0110996 | + | 0.0341611i | ||||
\(345\) | −0.229957 | + | 0.760851i | −0.0123805 | + | 0.0409629i | ||||
\(346\) | 8.19289 | + | 25.2151i | 0.440452 | + | 1.35557i | ||||
\(347\) | −2.91927 | − | 1.48744i | −0.156715 | − | 0.0798502i | 0.373874 | − | 0.927479i | \(-0.378029\pi\) |
−0.530589 | + | 0.847629i | \(0.678029\pi\) | |||||||
\(348\) | 0.348070 | − | 2.16273i | 0.0186585 | − | 0.115934i | ||||
\(349\) | − | 10.1798i | − | 0.544913i | −0.962168 | − | 0.272457i | \(-0.912164\pi\) | ||
0.962168 | − | 0.272457i | \(-0.0878361\pi\) | |||||||
\(350\) | 29.4843 | − | 1.36574i | 1.57600 | − | 0.0730019i | ||||
\(351\) | −15.3506 | − | 21.4639i | −0.819353 | − | 1.14566i | ||||
\(352\) | −1.16003 | − | 7.32417i | −0.0618300 | − | 0.390379i | ||||
\(353\) | −0.838034 | + | 1.64473i | −0.0446041 | + | 0.0875404i | −0.912233 | − | 0.409672i | \(-0.865643\pi\) |
0.867629 | + | 0.497213i | \(0.165643\pi\) | |||||||
\(354\) | 0.187211 | 0.000466606i | 0.00995014 | 2.47999e-5i | ||||||
\(355\) | −5.85514 | + | 4.46463i | −0.310759 | + | 0.236958i | ||||
\(356\) | −17.8648 | − | 5.80462i | −0.946832 | − | 0.307644i | ||||
\(357\) | −22.7320 | + | 11.5112i | −1.20310 | + | 0.609240i | ||||
\(358\) | 9.58587 | + | 18.8133i | 0.506629 | + | 0.994315i | ||||
\(359\) | 21.6017 | − | 15.6946i | 1.14009 | − | 0.828327i | 0.152962 | − | 0.988232i | \(-0.451119\pi\) |
0.987132 | + | 0.159905i | \(0.0511187\pi\) | |||||||
\(360\) | −4.40098 | − | 4.24398i | −0.231952 | − | 0.223677i | ||||
\(361\) | −15.3349 | − | 11.1415i | −0.807100 | − | 0.586393i | ||||
\(362\) | −1.09152 | + | 6.89160i | −0.0573691 | + | 0.362214i | ||||
\(363\) | 8.01764 | − | 15.6390i | 0.420817 | − | 0.820836i | ||||
\(364\) | 20.3616 | − | 28.0253i | 1.06724 | − | 1.46893i | ||||
\(365\) | 22.4126 | − | 12.0811i | 1.17313 | − | 0.632353i | ||||
\(366\) | 4.39389 | + | 13.6386i | 0.229672 | + | 0.712899i | ||||
\(367\) | 27.2917 | − | 13.9058i | 1.42461 | − | 0.725877i | 0.439575 | − | 0.898206i | \(-0.355129\pi\) |
0.985040 | + | 0.172328i | \(0.0551290\pi\) | |||||||
\(368\) | −0.427640 | − | 0.427640i | −0.0222923 | − | 0.0222923i | ||||
\(369\) | −18.0770 | + | 12.9966i | −0.941053 | + | 0.676573i | ||||
\(370\) | −10.5115 | + | 3.68645i | −0.546468 | + | 0.191649i | ||||
\(371\) | 31.1350 | − | 10.1164i | 1.61645 | − | 0.525217i | ||||
\(372\) | 19.6990 | − | 19.6010i | 1.02134 | − | 1.01627i | ||||
\(373\) | 1.84979 | − | 0.292978i | 0.0957785 | − | 0.0151698i | −0.108361 | − | 0.994112i | \(-0.534560\pi\) |
0.204140 | + | 0.978942i | \(0.434560\pi\) | |||||||
\(374\) | 10.2051 | 0.527694 | ||||||||
\(375\) | 18.8810 | − | 4.30192i | 0.975013 | − | 0.222150i | ||||
\(376\) | 8.37966 | 0.432148 | ||||||||
\(377\) | 2.60749 | − | 0.412985i | 0.134292 | − | 0.0212698i | ||||
\(378\) | 30.3312 | − | 4.57178i | 1.56007 | − | 0.235147i | ||||
\(379\) | −22.0932 | + | 7.17851i | −1.13485 | + | 0.368735i | −0.815417 | − | 0.578874i | \(-0.803492\pi\) |
−0.319433 | + | 0.947609i | \(0.603492\pi\) | |||||||
\(380\) | 1.08919 | − | 0.381985i | 0.0558742 | − | 0.0195954i | ||||
\(381\) | −13.2865 | + | 18.1918i | −0.680688 | + | 0.931992i | ||||
\(382\) | −13.9391 | − | 13.9391i | −0.713186 | − | 0.713186i | ||||
\(383\) | −29.5378 | + | 15.0503i | −1.50931 | + | 0.769032i | −0.996016 | − | 0.0891798i | \(-0.971575\pi\) |
−0.513295 | + | 0.858212i | \(0.671575\pi\) | |||||||
\(384\) | 11.7389 | − | 3.78187i | 0.599047 | − | 0.192993i | ||||
\(385\) | 5.09815 | − | 2.74806i | 0.259826 | − | 0.140054i | ||||
\(386\) | 2.72599 | − | 3.75201i | 0.138749 | − | 0.190972i | ||||
\(387\) | −1.54284 | − | 1.55830i | −0.0784271 | − | 0.0792129i | ||||
\(388\) | −3.36131 | + | 21.2225i | −0.170645 | + | 1.07741i | ||||
\(389\) | 24.6907 | + | 17.9388i | 1.25187 | + | 0.909534i | 0.998329 | − | 0.0577917i | \(-0.0184059\pi\) |
0.253537 | + | 0.967326i | \(0.418406\pi\) | |||||||
\(390\) | 18.0343 | − | 37.2780i | 0.913204 | − | 1.88764i | ||||
\(391\) | 0.871156 | − | 0.632932i | 0.0440563 | − | 0.0320087i | ||||
\(392\) | 0.356319 | + | 0.699315i | 0.0179968 | + | 0.0353207i | ||||
\(393\) | −15.8493 | − | 31.2986i | −0.799492 | − | 1.57881i | ||||
\(394\) | −30.9463 | − | 10.0551i | −1.55905 | − | 0.506567i | ||||
\(395\) | −7.30801 | + | 5.57247i | −0.367706 | + | 0.280381i | ||||
\(396\) | −6.40194 | − | 2.11546i | −0.321710 | − | 0.106306i | ||||
\(397\) | 15.9894 | − | 31.3810i | 0.802487 | − | 1.57497i | −0.0156032 | − | 0.999878i | \(-0.504967\pi\) |
0.818090 | − | 0.575090i | \(-0.195033\pi\) | |||||||
\(398\) | −2.26365 | − | 14.2921i | −0.113467 | − | 0.716400i | ||||
\(399\) | −0.320841 | + | 0.979135i | −0.0160621 | + | 0.0490181i | ||||
\(400\) | −3.89985 | + | 14.2088i | −0.194992 | + | 0.710438i | ||||
\(401\) | 1.91078i | 0.0954199i | 0.998861 | + | 0.0477099i | \(0.0151923\pi\) | ||||
−0.998861 | + | 0.0477099i | \(0.984808\pi\) | |||||||
\(402\) | 16.5103 | + | 2.65718i | 0.823461 | + | 0.132528i | ||||
\(403\) | 29.8405 | + | 15.2045i | 1.48646 | + | 0.757391i | ||||
\(404\) | −4.30224 | − | 13.2409i | −0.214045 | − | 0.658761i | ||||
\(405\) | 19.0561 | − | 6.47045i | 0.946903 | − | 0.321519i | ||||
\(406\) | −0.948291 | + | 2.91854i | −0.0470629 | + | 0.144845i | ||||
\(407\) | −1.54555 | + | 1.54555i | −0.0766102 | + | 0.0766102i | ||||
\(408\) | 1.27532 | + | 8.18402i | 0.0631377 | + | 0.405169i | ||||
\(409\) | 21.1310 | + | 29.0844i | 1.04486 | + | 1.43813i | 0.893179 | + | 0.449701i | \(0.148469\pi\) |
0.151683 | + | 0.988429i | \(0.451531\pi\) | |||||||
\(410\) | −31.4897 | − | 15.1373i | −1.55517 | − | 0.747580i | ||||
\(411\) | −15.7062 | + | 11.3515i | −0.774731 | + | 0.559930i | ||||
\(412\) | −5.46060 | − | 0.864873i | −0.269024 | − | 0.0426093i | ||||
\(413\) | −0.142165 | − | 0.0225167i | −0.00699546 | − | 0.00110797i | ||||
\(414\) | −1.23482 | + | 0.394423i | −0.0606881 | + | 0.0193848i | ||||
\(415\) | 24.2092 | − | 25.3566i | 1.18838 | − | 1.24470i | ||||
\(416\) | 23.9615 | + | 32.9801i | 1.17481 | + | 1.61698i | ||||
\(417\) | −5.84892 | + | 0.911440i | −0.286423 | + | 0.0446334i | ||||
\(418\) | 0.291801 | − | 0.291801i | 0.0142724 | − | 0.0142724i | ||||
\(419\) | 6.87568 | − | 21.1612i | 0.335899 | − | 1.03379i | −0.630378 | − | 0.776288i | \(-0.717100\pi\) |
0.966277 | − | 0.257503i | \(-0.0828998\pi\) | |||||||
\(420\) | 15.9665 | + | 21.0479i | 0.779086 | + | 1.02703i | ||||
\(421\) | 5.74528 | + | 17.6821i | 0.280008 | + | 0.861775i | 0.987851 | + | 0.155405i | \(0.0496684\pi\) |
−0.707843 | + | 0.706370i | \(0.750332\pi\) | |||||||
\(422\) | −8.79986 | − | 4.48375i | −0.428371 | − | 0.218266i | ||||
\(423\) | −12.6446 | + | 24.5135i | −0.614800 | + | 1.19189i | ||||
\(424\) | − | 10.6418i | − | 0.516809i | ||||||
\(425\) | −23.9012 | − | 10.8159i | −1.15938 | − | 0.524646i | ||||
\(426\) | −11.4113 | − | 3.73922i | −0.552878 | − | 0.181166i | ||||
\(427\) | −1.72339 | − | 10.8811i | −0.0834007 | − | 0.526572i | ||||
\(428\) | 0.528053 | − | 1.03636i | 0.0255244 | − | 0.0500945i | ||||
\(429\) | 0.0202526 | − | 8.12570i | 0.000977804 | − | 0.392312i | ||||
\(430\) | 0.987388 | − | 3.29658i | 0.0476161 | − | 0.158975i | ||||
\(431\) | −14.0978 | − | 4.58064i | −0.679065 | − | 0.220642i | −0.0508791 | − | 0.998705i | \(-0.516202\pi\) |
−0.628186 | + | 0.778063i | \(0.716202\pi\) | |||||||
\(432\) | −2.50838 | + | 15.1054i | −0.120685 | + | 0.726760i | ||||
\(433\) | −3.87588 | − | 7.60685i | −0.186263 | − | 0.365562i | 0.778926 | − | 0.627116i | \(-0.215765\pi\) |
−0.965189 | + | 0.261554i | \(0.915765\pi\) | |||||||
\(434\) | −31.4949 | + | 22.8824i | −1.51181 | + | 1.09839i | ||||
\(435\) | −0.273826 | + | 1.99464i | −0.0131289 | + | 0.0956356i | ||||
\(436\) | −9.85524 | − | 7.16025i | −0.471980 | − | 0.342914i | ||||
\(437\) | 0.00681168 | − | 0.0430072i | 0.000325847 | − | 0.00205731i | ||||
\(438\) | 36.9511 | + | 18.9437i | 1.76559 | + | 0.905163i | ||||
\(439\) | −4.12954 | + | 5.68383i | −0.197092 | + | 0.271274i | −0.896112 | − | 0.443828i | \(-0.853620\pi\) |
0.699020 | + | 0.715103i | \(0.253620\pi\) | |||||||
\(440\) | −0.337465 | − | 1.85216i | −0.0160880 | − | 0.0882984i | ||||
\(441\) | −2.58342 | − | 0.0128780i | −0.123020 | − | 0.000613237i | ||||
\(442\) | −49.9868 | + | 25.4696i | −2.37763 | + | 1.21146i | ||||
\(443\) | −4.70856 | − | 4.70856i | −0.223711 | − | 0.223711i | 0.586348 | − | 0.810059i | \(-0.300565\pi\) |
−0.810059 | + | 0.586348i | \(0.800565\pi\) | |||||||
\(444\) | −8.05150 | − | 5.88048i | −0.382107 | − | 0.279075i | ||||
\(445\) | 16.5386 | + | 4.95363i | 0.784007 | + | 0.234825i | ||||
\(446\) | 33.3943 | − | 10.8505i | 1.58127 | − | 0.513785i | ||||
\(447\) | −5.93750 | − | 5.96718i | −0.280834 | − | 0.282238i | ||||
\(448\) | −30.4817 | + | 4.82782i | −1.44012 | + | 0.228093i | ||||
\(449\) | −27.1755 | −1.28249 | −0.641245 | − | 0.767336i | \(-0.721582\pi\) | ||||
−0.641245 | + | 0.767336i | \(0.721582\pi\) | |||||||
\(450\) | 23.2346 | + | 21.3904i | 1.09529 | + | 1.00835i | ||||
\(451\) | −6.85577 | −0.322825 | ||||||||
\(452\) | 13.9235 | − | 2.20527i | 0.654907 | − | 0.103727i | ||||
\(453\) | −10.3613 | − | 10.4131i | −0.486816 | − | 0.489249i | ||||
\(454\) | −43.7298 | + | 14.2087i | −2.05234 | + | 0.666846i | ||||
\(455\) | −18.1133 | + | 26.1843i | −0.849164 | + | 1.22754i | ||||
\(456\) | 0.270476 | + | 0.197544i | 0.0126662 | + | 0.00925085i | ||||
\(457\) | 2.13051 | + | 2.13051i | 0.0996610 | + | 0.0996610i | 0.755179 | − | 0.655518i | \(-0.227550\pi\) |
−0.655518 | + | 0.755179i | \(0.727550\pi\) | |||||||
\(458\) | 29.1392 | − | 14.8472i | 1.36159 | − | 0.693764i | ||||
\(459\) | −25.8656 | − | 8.61859i | −1.20730 | − | 0.402281i | ||||
\(460\) | −0.807512 | − | 0.770973i | −0.0376504 | − | 0.0359468i | ||||
\(461\) | −19.4302 | + | 26.7433i | −0.904953 | + | 1.24556i | 0.0639082 | + | 0.997956i | \(0.479644\pi\) |
−0.968861 | + | 0.247605i | \(0.920356\pi\) | |||||||
\(462\) | 8.40518 | + | 4.30907i | 0.391044 | + | 0.200476i | ||||
\(463\) | −2.29527 | + | 14.4917i | −0.106670 | + | 0.673488i | 0.875175 | + | 0.483806i | \(0.160746\pi\) |
−0.981845 | + | 0.189683i | \(0.939254\pi\) | |||||||
\(464\) | −1.23933 | − | 0.900429i | −0.0575346 | − | 0.0418014i | ||||
\(465\) | −17.6836 | + | 18.4295i | −0.820058 | + | 0.854648i | ||||
\(466\) | 9.51249 | − | 6.91123i | 0.440658 | − | 0.320156i | ||||
\(467\) | 0.0206689 | + | 0.0405649i | 0.000956441 | + | 0.00187712i | 0.891484 | − | 0.453052i | \(-0.149665\pi\) |
−0.890528 | + | 0.454929i | \(0.849665\pi\) | |||||||
\(468\) | 36.6377 | − | 5.61578i | 1.69358 | − | 0.259589i | ||||
\(469\) | −12.2280 | − | 3.97311i | −0.564636 | − | 0.183461i | ||||
\(470\) | −43.2738 | + | 1.00170i | −1.99607 | + | 0.0462052i | ||||
\(471\) | −0.0669184 | + | 26.8489i | −0.00308344 | + | 1.23713i | ||||
\(472\) | −0.0212417 | + | 0.0416891i | −0.000977726 | + | 0.00191890i | ||||
\(473\) | −0.105632 | − | 0.666935i | −0.00485697 | − | 0.0306657i | ||||
\(474\) | −14.2428 | − | 4.66705i | −0.654194 | − | 0.214365i | ||||
\(475\) | −0.992683 | + | 0.374156i | −0.0455474 | + | 0.0171674i | ||||
\(476\) | − | 35.7904i | − | 1.64045i | ||||||
\(477\) | 31.1309 | + | 16.0580i | 1.42539 | + | 0.735244i | ||||
\(478\) | −34.7465 | − | 17.7042i | −1.58927 | − | 0.809772i | ||||
\(479\) | 1.78148 | + | 5.48284i | 0.0813980 | + | 0.250517i | 0.983471 | − | 0.181067i | \(-0.0579549\pi\) |
−0.902073 | + | 0.431584i | \(0.857955\pi\) | |||||||
\(480\) | −29.3630 | + | 10.2157i | −1.34023 | + | 0.466279i | ||||
\(481\) | 3.71311 | − | 11.4278i | 0.169303 | − | 0.521061i | ||||
\(482\) | −19.2543 | + | 19.2543i | −0.877009 | + | 0.877009i | ||||
\(483\) | 0.984758 | − | 0.153455i | 0.0448080 | − | 0.00698246i | ||||
\(484\) | 14.5098 | + | 19.9710i | 0.659536 | + | 0.907773i | ||||
\(485\) | 2.63717 | − | 19.5719i | 0.119748 | − | 0.888715i | ||||
\(486\) | 26.3099 | + | 19.6208i | 1.19344 | + | 0.890020i | ||||
\(487\) | −8.22938 | − | 1.30341i | −0.372909 | − | 0.0590629i | −0.0328326 | − | 0.999461i | \(-0.510453\pi\) |
−0.340076 | + | 0.940398i | \(0.610453\pi\) | |||||||
\(488\) | −3.53705 | − | 0.560214i | −0.160115 | − | 0.0253597i | ||||
\(489\) | 25.0672 | − | 18.1171i | 1.13358 | − | 0.819283i | ||||
\(490\) | −1.92368 | − | 3.56877i | −0.0869030 | − | 0.161221i | ||||
\(491\) | −1.38128 | − | 1.90117i | −0.0623362 | − | 0.0857985i | 0.776711 | − | 0.629858i | \(-0.216887\pi\) |
−0.839047 | + | 0.544059i | \(0.816887\pi\) | |||||||
\(492\) | −4.81513 | − | 30.8998i | −0.217083 | − | 1.39307i | ||||
\(493\) | 1.92868 | − | 1.92868i | 0.0868635 | − | 0.0868635i | ||||
\(494\) | −0.701036 | + | 2.15757i | −0.0315411 | + | 0.0970735i | ||||
\(495\) | 5.92746 | + | 1.80763i | 0.266420 | + | 0.0812470i | ||||
\(496\) | −6.00533 | − | 18.4825i | −0.269647 | − | 0.829889i | ||||
\(497\) | 8.22624 | + | 4.19148i | 0.368997 | + | 0.188013i | ||||
\(498\) | 56.4480 | + | 9.08477i | 2.52950 | + | 0.407098i | ||||
\(499\) | 14.4704i | 0.647786i | 0.946094 | + | 0.323893i | \(0.104992\pi\) | ||||
−0.946094 | + | 0.323893i | \(0.895008\pi\) | |||||||
\(500\) | −6.59045 | + | 26.3900i | −0.294734 | + | 1.18020i | ||||
\(501\) | 4.97018 | − | 15.1679i | 0.222051 | − | 0.677652i | ||||
\(502\) | −1.55026 | − | 9.78798i | −0.0691917 | − | 0.436859i | ||||
\(503\) | −3.62024 | + | 7.10512i | −0.161419 | + | 0.316802i | −0.957523 | − | 0.288358i | \(-0.906891\pi\) |
0.796104 | + | 0.605160i | \(0.206891\pi\) | |||||||
\(504\) | −2.40529 | + | 7.27904i | −0.107140 | + | 0.324234i | ||||
\(505\) | 4.23477 | + | 12.0750i | 0.188445 | + | 0.537331i | ||||
\(506\) | −0.379627 | − | 0.123348i | −0.0168765 | − | 0.00548351i | ||||
\(507\) | 10.0083 | + | 19.7640i | 0.444484 | + | 0.877750i | ||||
\(508\) | −14.3652 | − | 28.1934i | −0.637355 | − | 1.25088i | ||||
\(509\) | 31.5666 | − | 22.9345i | 1.39917 | − | 1.01655i | 0.404377 | − | 0.914592i | \(-0.367488\pi\) |
0.994788 | − | 0.101961i | \(-0.0325115\pi\) | |||||||
\(510\) | −7.56426 | − | 42.1110i | −0.334951 | − | 1.86471i | ||||
\(511\) | −25.8283 | − | 18.7654i | −1.14258 | − | 0.830131i | ||||
\(512\) | 4.54076 | − | 28.6692i | 0.200675 | − | 1.26701i | ||||
\(513\) | −0.986025 | + | 0.493153i | −0.0435341 | + | 0.0217732i | ||||
\(514\) | 19.8594 | − | 27.3341i | 0.875961 | − | 1.20566i | ||||
\(515\) | 5.03590 | + | 0.678549i | 0.221908 | + | 0.0299004i | ||||
\(516\) | 2.93177 | − | 0.944517i | 0.129064 | − | 0.0415800i | ||||
\(517\) | −7.56775 | + | 3.85596i | −0.332829 | + | 0.169585i | ||||
\(518\) | 9.87637 | + | 9.87637i | 0.433943 | + | 0.433943i | ||||
\(519\) | 12.8640 | − | 17.6133i | 0.564668 | − | 0.773139i | ||||
\(520\) | 6.27553 | + | 8.23004i | 0.275200 | + | 0.360911i | ||||
\(521\) | 19.4591 | − | 6.32266i | 0.852521 | − | 0.277001i | 0.150019 | − | 0.988683i | \(-0.452066\pi\) |
0.702501 | + | 0.711682i | \(0.252066\pi\) | |||||||
\(522\) | −2.93302 | + | 1.47608i | −0.128375 | + | 0.0646061i | ||||
\(523\) | −10.1716 | + | 1.61103i | −0.444775 | + | 0.0704454i | −0.374805 | − | 0.927104i | \(-0.622290\pi\) |
−0.0699699 | + | 0.997549i | \(0.522290\pi\) | |||||||
\(524\) | 49.2782 | 2.15273 | ||||||||
\(525\) | −15.1186 | − | 19.0004i | −0.659830 | − | 0.829244i | ||||
\(526\) | −15.0560 | −0.656473 | ||||||||
\(527\) | 34.1759 | − | 5.41293i | 1.48872 | − | 0.235791i | ||||
\(528\) | −3.34238 | + | 3.32576i | −0.145458 | + | 0.144735i | ||||
\(529\) | 21.8342 | − | 7.09438i | 0.949315 | − | 0.308451i | ||||
\(530\) | 1.27211 | + | 54.9556i | 0.0552571 | + | 2.38712i | ||||
\(531\) | −0.0899028 | − | 0.125047i | −0.00390145 | − | 0.00542656i | ||||
\(532\) | −1.02338 | − | 1.02338i | −0.0443690 | − | 0.0443690i | ||||
\(533\) | 33.5810 | − | 17.1104i | 1.45455 | − | 0.741132i | ||||
\(534\) | 8.63398 | + | 26.7998i | 0.373629 | + | 1.15974i | ||||
\(535\) | −0.463162 | + | 0.963500i | −0.0200242 | + | 0.0416557i | ||||
\(536\) | −2.45662 | + | 3.38124i | −0.106110 | + | 0.146047i | ||||
\(537\) | 7.92441 | − | 15.4572i | 0.341964 | − | 0.667026i | ||||
\(538\) | 0.378097 | − | 2.38721i | 0.0163009 | − | 0.102920i | ||||
\(539\) | −0.643590 | − | 0.467595i | −0.0277214 | − | 0.0201408i | ||||
\(540\) | −3.98409 | + | 27.9854i | −0.171448 | + | 1.20430i | ||||
\(541\) | 25.8243 | − | 18.7625i | 1.11028 | − | 0.806662i | 0.127568 | − | 0.991830i | \(-0.459283\pi\) |
0.982707 | + | 0.185167i | \(0.0592827\pi\) | |||||||
\(542\) | −9.19628 | − | 18.0487i | −0.395014 | − | 0.775259i | ||||
\(543\) | 5.12092 | − | 2.59318i | 0.219760 | − | 0.111284i | ||||
\(544\) | 40.0567 | + | 13.0152i | 1.71742 | + | 0.558022i | ||||
\(545\) | 9.20785 | + | 6.36962i | 0.394421 | + | 0.272845i | ||||
\(546\) | −51.9247 | − | 0.129418i | −2.22217 | − | 0.00553857i | ||||
\(547\) | −14.1351 | + | 27.7417i | −0.604373 | + | 1.18615i | 0.362761 | + | 0.931882i | \(0.381834\pi\) |
−0.967134 | + | 0.254267i | \(0.918166\pi\) | |||||||
\(548\) | −4.25817 | − | 26.8850i | −0.181900 | − | 1.14847i | ||||
\(549\) | 6.97610 | − | 9.50181i | 0.297733 | − | 0.405527i | ||||
\(550\) | 1.96413 | + | 9.52450i | 0.0837506 | + | 0.406126i | ||||
\(551\) | − | 0.110296i | − | 0.00469876i | ||||||
\(552\) | 0.0514780 | − | 0.319857i | 0.00219105 | − | 0.0136140i | ||||
\(553\) | 10.2675 | + | 5.23153i | 0.436617 | + | 0.222467i | ||||
\(554\) | 14.9376 | + | 45.9732i | 0.634637 | + | 1.95321i | ||||
\(555\) | 7.52325 | + | 5.23206i | 0.319344 | + | 0.222089i | ||||
\(556\) | 2.56938 | − | 7.90774i | 0.108966 | − | 0.335363i | ||||
\(557\) | −13.9418 | + | 13.9418i | −0.590734 | + | 0.590734i | −0.937830 | − | 0.347096i | \(-0.887168\pi\) |
0.347096 | + | 0.937830i | \(0.387168\pi\) | |||||||
\(558\) | −41.1086 | − | 6.72119i | −1.74027 | − | 0.284531i | ||||
\(559\) | 2.18192 | + | 3.00315i | 0.0922854 | + | 0.127020i | ||||
\(560\) | 18.1758 | − | 3.31164i | 0.768069 | − | 0.139943i | ||||
\(561\) | −4.91769 | − | 6.80421i | −0.207625 | − | 0.287274i | ||||
\(562\) | 19.3934 | + | 3.07161i | 0.818060 | + | 0.129568i | ||||
\(563\) | 4.18439 | + | 0.662743i | 0.176351 | + | 0.0279313i | 0.243985 | − | 0.969779i | \(-0.421545\pi\) |
−0.0676342 | + | 0.997710i | \(0.521545\pi\) | |||||||
\(564\) | −22.6945 | − | 31.4006i | −0.955610 | − | 1.32220i | ||||
\(565\) | −12.7468 | + | 2.32247i | −0.536262 | + | 0.0977072i | ||||
\(566\) | −41.1692 | − | 56.6646i | −1.73047 | − | 2.38179i | ||||
\(567\) | −17.6643 | − | 18.0201i | −0.741832 | − | 0.756773i | ||||
\(568\) | 2.12215 | − | 2.12215i | 0.0890433 | − | 0.0890433i | ||||
\(569\) | −11.0678 | + | 34.0631i | −0.463985 | + | 1.42800i | 0.396270 | + | 0.918134i | \(0.370304\pi\) |
−0.860255 | + | 0.509864i | \(0.829696\pi\) | |||||||
\(570\) | −1.42039 | − | 0.987815i | −0.0594937 | − | 0.0413750i | ||||
\(571\) | −7.59320 | − | 23.3695i | −0.317766 | − | 0.977982i | −0.974601 | − | 0.223948i | \(-0.928105\pi\) |
0.656835 | − | 0.754034i | \(-0.271895\pi\) | |||||||
\(572\) | 10.1696 | + | 5.18166i | 0.425212 | + | 0.216656i | ||||
\(573\) | −2.57679 | + | 16.0108i | −0.107647 | + | 0.668862i | ||||
\(574\) | 43.8096i | 1.82858i | ||||||||
\(575\) | 0.758386 | + | 0.691238i | 0.0316269 | + | 0.0288266i | ||||
\(576\) | −26.6179 | − | 19.5425i | −1.10908 | − | 0.814270i | ||||
\(577\) | −4.38472 | − | 27.6840i | −0.182538 | − | 1.15250i | −0.893431 | − | 0.449200i | \(-0.851709\pi\) |
0.710893 | − | 0.703300i | \(-0.248291\pi\) | |||||||
\(578\) | −10.0651 | + | 19.7538i | −0.418651 | + | 0.821649i | ||||
\(579\) | −3.81524 | − | 0.00950915i | −0.158556 | − | 0.000395187i | ||||
\(580\) | −2.32575 | − | 1.60886i | −0.0965717 | − | 0.0668045i | ||||
\(581\) | −41.8069 | − | 13.5839i | −1.73444 | − | 0.563554i | ||||
\(582\) | 28.7336 | − | 14.5504i | 1.19105 | − | 0.603133i | ||||
\(583\) | 4.89688 | + | 9.61066i | 0.202808 | + | 0.398033i | ||||
\(584\) | −8.39588 | + | 6.09997i | −0.347424 | + | 0.252418i | ||||
\(585\) | −33.5454 | + | 5.93937i | −1.38693 | + | 0.245563i | ||||
\(586\) | 47.0924 | + | 34.2146i | 1.94537 | + | 1.41339i | ||||
\(587\) | −5.73646 | + | 36.2186i | −0.236769 | + | 1.49490i | 0.527252 | + | 0.849709i | \(0.323222\pi\) |
−0.764021 | + | 0.645191i | \(0.776778\pi\) | |||||||
\(588\) | 1.65549 | − | 3.22915i | 0.0682711 | − | 0.133168i | ||||
\(589\) | 0.822435 | − | 1.13198i | 0.0338878 | − | 0.0466426i | ||||
\(590\) | 0.104712 | − | 0.217828i | 0.00431091 | − | 0.00896783i | ||||
\(591\) | 8.20837 | + | 25.4787i | 0.337647 | + | 1.04805i | ||||
\(592\) | −6.21248 | + | 3.16541i | −0.255331 | + | 0.130098i | ||||
\(593\) | −18.0099 | − | 18.0099i | −0.739577 | − | 0.739577i | 0.232919 | − | 0.972496i | \(-0.425172\pi\) |
−0.972496 | + | 0.232919i | \(0.925172\pi\) | |||||||
\(594\) | 3.05110 | + | 9.63486i | 0.125188 | + | 0.395323i | ||||
\(595\) | 0.761253 | + | 32.8863i | 0.0312083 | + | 1.34821i | ||||
\(596\) | 11.2453 | − | 3.65382i | 0.460625 | − | 0.149666i | ||||
\(597\) | −8.43839 | + | 8.39643i | −0.345360 | + | 0.343643i | ||||
\(598\) | 2.16734 | − | 0.343273i | 0.0886292 | − | 0.0140375i | ||||
\(599\) | −16.9050 | −0.690719 | −0.345360 | − | 0.938470i | \(-0.612243\pi\) | ||||
−0.345360 | + | 0.938470i | \(0.612243\pi\) | |||||||
\(600\) | −7.39273 | + | 2.76540i | −0.301807 | + | 0.112897i | ||||
\(601\) | 23.5312 | 0.959857 | 0.479929 | − | 0.877308i | \(-0.340663\pi\) | ||||
0.479929 | + | 0.877308i | \(0.340663\pi\) | |||||||
\(602\) | −4.26184 | + | 0.675009i | −0.173700 | + | 0.0275113i | ||||
\(603\) | −6.18441 | − | 12.2886i | −0.251849 | − | 0.500432i | ||||
\(604\) | 19.6237 | − | 6.37613i | 0.798477 | − | 0.259441i | ||||
\(605\) | −13.7572 | − | 18.0419i | −0.559309 | − | 0.733506i | ||||
\(606\) | −12.3083 | + | 16.8525i | −0.499992 | + | 0.684586i | ||||
\(607\) | −17.3958 | − | 17.3958i | −0.706072 | − | 0.706072i | 0.259635 | − | 0.965707i | \(-0.416398\pi\) |
−0.965707 | + | 0.259635i | \(0.916398\pi\) | |||||||
\(608\) | 1.51751 | − | 0.773212i | 0.0615433 | − | 0.0313579i | ||||
\(609\) | 2.40289 | − | 0.774129i | 0.0973699 | − | 0.0313693i | ||||
\(610\) | 18.3328 | + | 2.47021i | 0.742274 | + | 0.100016i | ||||
\(611\) | 27.4449 | − | 37.7746i | 1.11030 | − | 1.52820i | ||||
\(612\) | 27.2135 | − | 26.9435i | 1.10004 | − | 1.08913i | ||||
\(613\) | 4.24641 | − | 26.8108i | 0.171511 | − | 1.08288i | −0.740303 | − | 0.672273i | \(-0.765318\pi\) |
0.911814 | − | 0.410604i | \(-0.134682\pi\) | |||||||
\(614\) | 40.8132 | + | 29.6525i | 1.64708 | + | 1.19668i | ||||
\(615\) | 5.08164 | + | 28.2900i | 0.204911 | + | 1.14076i | ||||
\(616\) | −1.90979 | + | 1.38755i | −0.0769478 | + | 0.0559058i | ||||
\(617\) | −4.36406 | − | 8.56494i | −0.175690 | − | 0.344812i | 0.786322 | − | 0.617816i | \(-0.211983\pi\) |
−0.962013 | + | 0.273005i | \(0.911983\pi\) | |||||||
\(618\) | 3.74385 | + | 7.39322i | 0.150600 | + | 0.297399i | ||||
\(619\) | 34.6660 | + | 11.2637i | 1.39334 | + | 0.452725i | 0.907032 | − | 0.421061i | \(-0.138342\pi\) |
0.486311 | + | 0.873786i | \(0.338342\pi\) | |||||||
\(620\) | −11.8729 | − | 33.8543i | −0.476827 | − | 1.35962i | ||||
\(621\) | 0.858020 | + | 0.633244i | 0.0344311 | + | 0.0254112i | ||||
\(622\) | 2.77106 | − | 5.43852i | 0.111110 | − | 0.218065i | ||||
\(623\) | −3.38646 | − | 21.3813i | −0.135676 | − | 0.856622i | ||||
\(624\) | 8.07136 | − | 24.6320i | 0.323113 | − | 0.986071i | ||||
\(625\) | 5.49437 | − | 24.3888i | 0.219775 | − | 0.975551i | ||||
\(626\) | 28.6756i | 1.14611i | ||||||||
\(627\) | −0.335171 | − | 0.0539425i | −0.0133854 | − | 0.00215426i | ||||
\(628\) | −33.6023 | − | 17.1212i | −1.34088 | − | 0.683210i | ||||
\(629\) | −3.83629 | − | 11.8069i | −0.152963 | − | 0.470771i | ||||
\(630\) | 11.5511 | − | 37.8776i | 0.460207 | − | 1.50908i | ||||
\(631\) | −3.21512 | + | 9.89511i | −0.127992 | + | 0.393918i | −0.994434 | − | 0.105359i | \(-0.966401\pi\) |
0.866443 | + | 0.499277i | \(0.166401\pi\) | |||||||
\(632\) | 2.64873 | − | 2.64873i | 0.105361 | − | 0.105361i | ||||
\(633\) | 1.25099 | + | 8.02791i | 0.0497225 | + | 0.319081i | ||||
\(634\) | −37.4260 | − | 51.5125i | −1.48638 | − | 2.04582i | ||||
\(635\) | 13.7993 | + | 25.6001i | 0.547607 | + | 1.01591i | ||||
\(636\) | −39.8771 | + | 28.8208i | −1.58123 | + | 1.14282i | ||||
\(637\) | 4.31944 | + | 0.684132i | 0.171143 | + | 0.0271063i | ||||
\(638\) | −0.998639 | − | 0.158169i | −0.0395365 | − | 0.00626197i | ||||
\(639\) | 3.00581 | + | 9.41027i | 0.118908 | + | 0.372265i | ||||
\(640\) | 2.12614 | − | 15.7793i | 0.0840430 | − | 0.623731i | ||||
\(641\) | 4.96036 | + | 6.82734i | 0.195922 | + | 0.269664i | 0.895663 | − | 0.444733i | \(-0.146701\pi\) |
−0.699741 | + | 0.714397i | \(0.746701\pi\) | |||||||
\(642\) | −1.72267 | + | 0.268445i | −0.0679886 | + | 0.0105947i | ||||
\(643\) | −32.9970 | + | 32.9970i | −1.30127 | + | 1.30127i | −0.373739 | + | 0.927534i | \(0.621924\pi\) |
−0.927534 | + | 0.373739i | \(0.878076\pi\) | |||||||
\(644\) | −0.432596 | + | 1.33139i | −0.0170467 | + | 0.0524642i | ||||
\(645\) | −2.67378 | + | 0.930233i | −0.105280 | + | 0.0366279i | ||||
\(646\) | 0.724293 | + | 2.22914i | 0.0284969 | + | 0.0877045i | ||||
\(647\) | 27.7853 | + | 14.1573i | 1.09235 | + | 0.556582i | 0.904871 | − | 0.425686i | \(-0.139967\pi\) |
0.187482 | + | 0.982268i | \(0.439967\pi\) | |||||||
\(648\) | −7.34540 | + | 3.65089i | −0.288555 | + | 0.143420i | ||||
\(649\) | − | 0.0474243i | − | 0.00186157i | ||||||
\(650\) | −33.3916 | − | 41.7510i | −1.30973 | − | 1.63761i | ||||
\(651\) | 30.4336 | + | 9.97242i | 1.19279 | + | 0.390850i | ||||
\(652\) | 6.79605 | + | 42.9085i | 0.266154 | + | 1.68043i | ||||
\(653\) | −8.99906 | + | 17.6616i | −0.352160 | + | 0.691153i | −0.997341 | − | 0.0728766i | \(-0.976782\pi\) |
0.645181 | + | 0.764030i | \(0.276782\pi\) | |||||||
\(654\) | −0.0455104 | + | 18.2596i | −0.00177960 | + | 0.714006i | ||||
\(655\) | −45.2796 | + | 1.04814i | −1.76922 | + | 0.0409540i | ||||
\(656\) | −20.7992 | − | 6.75808i | −0.812074 | − | 0.263859i | ||||
\(657\) | −5.17554 | − | 33.7656i | −0.201917 | − | 1.31732i | ||||
\(658\) | 24.6403 | + | 48.3594i | 0.960580 | + | 1.88524i | ||||
\(659\) | −25.0740 | + | 18.2173i | −0.976745 | + | 0.709647i | −0.956979 | − | 0.290158i | \(-0.906292\pi\) |
−0.0197663 | + | 0.999805i | \(0.506292\pi\) | |||||||
\(660\) | −6.02653 | + | 6.28073i | −0.234583 | + | 0.244477i | ||||
\(661\) | 4.14459 | + | 3.01122i | 0.161206 | + | 0.117123i | 0.665464 | − | 0.746430i | \(-0.268234\pi\) |
−0.504258 | + | 0.863553i | \(0.668234\pi\) | |||||||
\(662\) | −3.17345 | + | 20.0364i | −0.123339 | + | 0.778735i | ||||
\(663\) | 41.0695 | + | 21.0551i | 1.59501 | + | 0.817711i | ||||
\(664\) | −8.39904 | + | 11.5603i | −0.325946 | + | 0.448626i | ||||
\(665\) | 0.962102 | + | 0.918568i | 0.0373087 | + | 0.0356205i | ||||
\(666\) | −0.0744968 | + | 14.9446i | −0.00288669 | + | 0.579092i | ||||
\(667\) | −0.0950582 | + | 0.0484346i | −0.00368067 | + | 0.00187539i | ||||
\(668\) | 15.8532 | + | 15.8532i | 0.613380 | + | 0.613380i | ||||
\(669\) | −23.3267 | − | 17.0368i | −0.901861 | − | 0.658681i | ||||
\(670\) | 12.2821 | − | 17.7549i | 0.474500 | − | 0.685931i | ||||
\(671\) | 3.45213 | − | 1.12167i | 0.133268 | − | 0.0433014i | ||||
\(672\) | 27.4960 | + | 27.6334i | 1.06068 | + | 1.06598i | ||||
\(673\) | 18.2947 | − | 2.89759i | 0.705208 | − | 0.111694i | 0.206478 | − | 0.978451i | \(-0.433800\pi\) |
0.498730 | + | 0.866757i | \(0.333800\pi\) | |||||||
\(674\) | 16.5913 | 0.639075 | ||||||||
\(675\) | 3.06556 | − | 25.7993i | 0.117993 | − | 0.993014i | ||||
\(676\) | −31.1175 | −1.19683 | ||||||||
\(677\) | −22.5569 | + | 3.57266i | −0.866931 | + | 0.137308i | −0.574030 | − | 0.818834i | \(-0.694621\pi\) |
−0.292901 | + | 0.956143i | \(0.594621\pi\) | |||||||
\(678\) | −14.9043 | − | 14.9788i | −0.572396 | − | 0.575257i | ||||
\(679\) | −23.5507 | + | 7.65210i | −0.903795 | + | 0.293661i | ||||
\(680\) | 10.2434 | + | 3.06810i | 0.392817 | + | 0.117656i | ||||
\(681\) | 30.5462 | + | 22.3097i | 1.17053 | + | 0.854909i | ||||
\(682\) | −9.06980 | − | 9.06980i | −0.347300 | − | 0.347300i | ||||
\(683\) | 33.3574 | − | 16.9964i | 1.27639 | − | 0.650351i | 0.321383 | − | 0.946949i | \(-0.395852\pi\) |
0.955002 | + | 0.296598i | \(0.0958523\pi\) | |||||||
\(684\) | 0.00771926 | − | 1.54854i | 0.000295153 | − | 0.0592100i | ||||
\(685\) | 4.48448 | + | 24.6129i | 0.171343 | + | 0.940410i | ||||
\(686\) | 21.3006 | − | 29.3178i | 0.813261 | − | 1.11936i | ||||
\(687\) | −23.9410 | − | 12.2738i | −0.913407 | − | 0.468275i | ||||
\(688\) | 0.336962 | − | 2.12750i | 0.0128466 | − | 0.0811100i | ||||
\(689\) | −47.9719 | − | 34.8536i | −1.82758 | − | 1.32782i | ||||
\(690\) | −0.227604 | + | 1.65794i | −0.00866474 | + | 0.0631169i | ||||
\(691\) | −27.2396 | + | 19.7907i | −1.03624 | + | 0.752875i | −0.969549 | − | 0.244899i | \(-0.921245\pi\) |
−0.0666945 | + | 0.997773i | \(0.521245\pi\) | |||||||
\(692\) | 13.9085 | + | 27.2969i | 0.528721 | + | 1.03767i | ||||
\(693\) | −1.17727 | − | 7.68058i | −0.0447207 | − | 0.291761i | ||||
\(694\) | −6.56060 | − | 2.13167i | −0.249037 | − | 0.0809170i | ||||
\(695\) | −2.19270 | + | 7.32072i | −0.0831737 | + | 0.277691i | ||||
\(696\) | 0.00204534 | − | 0.820626i | 7.75284e−5 | − | 0.0311058i | ||||
\(697\) | 17.6780 | − | 34.6950i | 0.669602 | − | 1.31417i | ||||
\(698\) | −3.35286 | − | 21.1691i | −0.126908 | − | 0.801263i | ||||
\(699\) | −9.19194 | − | 3.01199i | −0.347671 | − | 0.113924i | ||||
\(700\) | 33.4034 | − | 6.88839i | 1.26253 | − | 0.260357i | ||||
\(701\) | 41.4824i | 1.56677i | 0.621538 | + | 0.783384i | \(0.286508\pi\) | ||||
−0.621538 | + | 0.783384i | \(0.713492\pi\) | |||||||
\(702\) | −38.9912 | − | 39.5787i | −1.47163 | − | 1.49380i | ||||
\(703\) | −0.447294 | − | 0.227908i | −0.0168700 | − | 0.00859570i | ||||
\(704\) | −3.14218 | − | 9.67062i | −0.118425 | − | 0.364475i | ||||
\(705\) | 21.5208 | + | 28.3699i | 0.810522 | + | 1.06847i | ||||
\(706\) | −1.20099 | + | 3.69628i | −0.0452000 | + | 0.139111i | ||||
\(707\) | 11.3454 | − | 11.3454i | 0.426687 | − | 0.426687i | ||||
\(708\) | 0.213747 | − | 0.0333083i | 0.00803311 | − | 0.00125180i | ||||
\(709\) | −12.5345 | − | 17.2522i | −0.470742 | − | 0.647921i | 0.505951 | − | 0.862562i | \(-0.331142\pi\) |
−0.976693 | + | 0.214641i | \(0.931142\pi\) | |||||||
\(710\) | −10.7054 | + | 11.2128i | −0.401766 | + | 0.420807i | ||||
\(711\) | 3.75165 | + | 11.7453i | 0.140698 | + | 0.440483i | ||||
\(712\) | −6.95030 | − | 1.10082i | −0.260474 | − | 0.0412550i | ||||
\(713\) | −1.33676 | − | 0.211722i | −0.0500620 | − | 0.00792903i | ||||
\(714\) | −43.4802 | + | 31.4249i | −1.62721 | + | 1.17605i | ||||
\(715\) | −9.45460 | − | 4.54490i | −0.353582 | − | 0.169970i | ||||
\(716\) | 14.3411 | + | 19.7388i | 0.535951 | + | 0.737673i | ||||
\(717\) | 4.93958 | + | 31.6984i | 0.184472 | + | 1.18380i | ||||
\(718\) | 39.7520 | − | 39.7520i | 1.48353 | − | 1.48353i | ||||
\(719\) | −8.68648 | + | 26.7342i | −0.323951 | + | 0.997019i | 0.647961 | + | 0.761674i | \(0.275622\pi\) |
−0.971912 | + | 0.235345i | \(0.924378\pi\) | |||||||
\(720\) | 16.2010 | + | 11.3271i | 0.603777 | + | 0.422135i | ||||
\(721\) | −1.96890 | − | 6.05966i | −0.0733258 | − | 0.225674i | ||||
\(722\) | −35.5588 | − | 18.1181i | −1.32336 | − | 0.674287i | ||||
\(723\) | 22.1160 | + | 3.55936i | 0.822504 | + | 0.132374i | ||||
\(724\) | 8.06265i | 0.299646i | ||||||||
\(725\) | 2.17125 | + | 1.42885i | 0.0806383 | + | 0.0530660i | ||||
\(726\) | 11.5219 | − | 35.1624i | 0.427618 | − | 1.30500i | ||||
\(727\) | 2.81844 | + | 17.7949i | 0.104530 | + | 0.659977i | 0.983198 | + | 0.182543i | \(0.0584330\pi\) |
−0.878668 | + | 0.477434i | \(0.841567\pi\) | |||||||
\(728\) | 5.89158 | − | 11.5629i | 0.218356 | − | 0.428549i | ||||
\(729\) | 0.403755 | − | 26.9970i | 0.0149539 | − | 0.999888i | ||||
\(730\) | 42.6284 | − | 32.5048i | 1.57775 | − | 1.20306i | ||||
\(731\) | 3.64754 | + | 1.18516i | 0.134909 | + | 0.0438347i | ||||
\(732\) | 7.48007 | + | 14.7714i | 0.276472 | + | 0.545966i | ||||
\(733\) | 10.3267 | + | 20.2674i | 0.381427 | + | 0.748592i | 0.999289 | − | 0.0376939i | \(-0.0120012\pi\) |
−0.617863 | + | 0.786286i | \(0.712001\pi\) | |||||||
\(734\) | 52.1735 | − | 37.9063i | 1.92576 | − | 1.39915i | ||||
\(735\) | −1.45247 | + | 3.00234i | −0.0535752 | + | 0.110743i | ||||
\(736\) | −1.33278 | − | 0.968323i | −0.0491270 | − | 0.0356929i | ||||
\(737\) | 0.662690 | − | 4.18406i | 0.0244105 | − | 0.154122i | ||||
\(738\) | −33.3110 | + | 32.9805i | −1.22619 | + | 1.21403i | ||||
\(739\) | −17.5716 | + | 24.1852i | −0.646382 | + | 0.889669i | −0.998936 | − | 0.0461231i | \(-0.985313\pi\) |
0.352554 | + | 0.935792i | \(0.385313\pi\) | |||||||
\(740\) | −11.3304 | + | 6.10742i | −0.416513 | + | 0.224513i | ||||
\(741\) | 1.77636 | − | 0.572285i | 0.0652563 | − | 0.0210234i | ||||
\(742\) | 61.4140 | − | 31.2920i | 2.25458 | − | 1.14876i | ||||
\(743\) | −35.7229 | − | 35.7229i | −1.31055 | − | 1.31055i | −0.921011 | − | 0.389537i | \(-0.872635\pi\) |
−0.389537 | − | 0.921011i | \(-0.627365\pi\) | |||||||
\(744\) | 6.14010 | − | 8.40698i | 0.225107 | − | 0.308215i | ||||
\(745\) | −10.2551 | + | 3.59652i | −0.375718 | + | 0.131766i | ||||
\(746\) | 3.75018 | − | 1.21851i | 0.137304 | − | 0.0446127i | ||||
\(747\) | −21.1442 | − | 42.0142i | −0.773625 | − | 1.53722i | ||||
\(748\) | 11.6471 | − | 1.84471i | 0.425859 | − | 0.0674494i | ||||
\(749\) | 1.34046 | 0.0489792 | ||||||||
\(750\) | 37.8466 | − | 15.1646i | 1.38196 | − | 0.553735i | ||||
\(751\) | 43.1672 | 1.57520 | 0.787598 | − | 0.616190i | \(-0.211325\pi\) | ||||
0.787598 | + | 0.616190i | \(0.211325\pi\) | |||||||
\(752\) | −26.7603 | + | 4.23842i | −0.975848 | + | 0.154559i | ||||
\(753\) | −5.77904 | + | 5.75030i | −0.210600 | + | 0.209553i | ||||
\(754\) | 5.28629 | − | 1.71762i | 0.192515 | − | 0.0625521i | ||||
\(755\) | −17.8957 | + | 6.27613i | −0.651293 | + | 0.228412i | ||||
\(756\) | 33.7905 | − | 10.7005i | 1.22895 | − | 0.389174i | ||||
\(757\) | 12.8580 | + | 12.8580i | 0.467331 | + | 0.467331i | 0.901049 | − | 0.433718i | \(-0.142798\pi\) |
−0.433718 | + | 0.901049i | \(0.642798\pi\) | |||||||
\(758\) | −43.5789 | + | 22.2045i | −1.58286 | + | 0.806505i | ||||
\(759\) | 0.100694 | + | 0.312554i | 0.00365498 | + | 0.0113450i | ||||
\(760\) | 0.380624 | − | 0.205168i | 0.0138067 | − | 0.00744223i | ||||
\(761\) | −8.40118 | + | 11.5632i | −0.304543 | + | 0.419167i | −0.933670 | − | 0.358136i | \(-0.883413\pi\) |
0.629127 | + | 0.777303i | \(0.283413\pi\) | |||||||
\(762\) | −21.6378 | + | 42.2062i | −0.783856 | + | 1.52897i | ||||
\(763\) | 2.19616 | − | 13.8660i | 0.0795063 | − | 0.501983i | ||||
\(764\) | −18.4283 | − | 13.3889i | −0.666712 | − | 0.484395i | ||||
\(765\) | −24.4322 | + | 25.3360i | −0.883348 | + | 0.916027i | ||||
\(766\) | −56.4674 | + | 41.0260i | −2.04025 | + | 1.48233i | ||||
\(767\) | 0.118360 | + | 0.232294i | 0.00427372 | + | 0.00838765i | ||||
\(768\) | −10.8515 | + | 5.49507i | −0.391568 | + | 0.198286i | ||||
\(769\) | −27.6008 | − | 8.96803i | −0.995309 | − | 0.323395i | −0.234319 | − | 0.972160i | \(-0.575286\pi\) |
−0.760989 | + | 0.648764i | \(0.775286\pi\) | |||||||
\(770\) | 9.69659 | − | 7.39379i | 0.349441 | − | 0.266454i | ||||
\(771\) | −27.7948 | − | 0.0692761i | −1.00101 | − | 0.00249492i | ||||
\(772\) | 2.43294 | − | 4.77491i | 0.0875633 | − | 0.171853i | ||||
\(773\) | 1.42015 | + | 8.96649i | 0.0510793 | + | 0.322502i | 0.999976 | + | 0.00691550i | \(0.00220129\pi\) |
−0.948897 | + | 0.315587i | \(0.897799\pi\) | |||||||
\(774\) | −3.72162 | − | 2.73236i | −0.133771 | − | 0.0982128i | ||||
\(775\) | 11.6296 | + | 30.8547i | 0.417746 | + | 1.10833i | ||||
\(776\) | 8.04949i | 0.288960i | ||||||||
\(777\) | 1.82575 | − | 11.3443i | 0.0654985 | − | 0.406974i | ||||
\(778\) | 57.2531 | + | 29.1719i | 2.05262 | + | 1.04586i | ||||
\(779\) | −0.486577 | − | 1.49753i | −0.0174334 | − | 0.0536546i | ||||
\(780\) | 13.8440 | − | 45.8051i | 0.495695 | − | 1.64009i | ||||
\(781\) | −0.940009 | + | 2.89305i | −0.0336362 | + | 0.103522i | ||||
\(782\) | 1.60312 | − | 1.60312i | 0.0573275 | − | 0.0573275i | ||||
\(783\) | 2.39754 | + | 1.24428i | 0.0856811 | + | 0.0444668i | ||||
\(784\) | −1.49161 | − | 2.05303i | −0.0532718 | − | 0.0733223i | ||||
\(785\) | 31.2398 | + | 15.0172i | 1.11500 | + | 0.535987i | ||||
\(786\) | −43.2676 | − | 59.8660i | −1.54330 | − | 2.13535i | ||||
\(787\) | −33.9240 | − | 5.37304i | −1.20926 | − | 0.191528i | −0.480934 | − | 0.876757i | \(-0.659702\pi\) |
−0.728328 | + | 0.685229i | \(0.759702\pi\) | |||||||
\(788\) | −37.1365 | − | 5.88184i | −1.32293 | − | 0.209532i | ||||
\(789\) | 7.25525 | + | 10.0385i | 0.258294 | + | 0.357381i | ||||
\(790\) | −13.3618 | + | 13.9950i | −0.475391 | + | 0.497921i | ||||
\(791\) | 9.54926 | + | 13.1434i | 0.339533 | + | 0.467327i | ||||
\(792\) | −2.49275 | − | 0.407560i | −0.0885759 | − | 0.0144820i | ||||
\(793\) | −14.1098 | + | 14.1098i | −0.501055 | + | 0.501055i | ||||
\(794\) | 22.9146 | − | 70.5238i | 0.813208 | − | 2.50280i | ||||
\(795\) | 36.0283 | − | 27.3304i | 1.27779 | − | 0.969309i | ||||
\(796\) | −5.16699 | − | 15.9024i | −0.183139 | − | 0.563644i | ||||
\(797\) | −12.2061 | − | 6.21933i | −0.432363 | − | 0.220300i | 0.224244 | − | 0.974533i | \(-0.428009\pi\) |
−0.656607 | + | 0.754233i | \(0.728009\pi\) | |||||||
\(798\) | −0.344703 | + | 2.14180i | −0.0122023 | + | 0.0758190i | ||||
\(799\) | − | 48.2410i | − | 1.70664i | ||||||
\(800\) | −4.43767 | + | 39.8901i | −0.156895 | + | 1.41033i | ||||
\(801\) | 13.7080 | − | 18.6710i | 0.484349 | − | 0.659708i | ||||
\(802\) | 0.629342 | + | 3.97351i | 0.0222228 | + | 0.140309i | ||||
\(803\) | 4.77546 | − | 9.37236i | 0.168522 | − | 0.330743i | ||||
\(804\) | 19.3235 | + | 0.0481621i | 0.681487 | + | 0.00169855i | ||||
\(805\) | 0.369175 | − | 1.23256i | 0.0130117 | − | 0.0434420i | ||||
\(806\) | 67.0618 | + | 21.7897i | 2.36215 | + | 0.767509i | ||||
\(807\) | −1.77386 | + | 0.898264i | −0.0624428 | + | 0.0316204i | ||||
\(808\) | −2.36783 | − | 4.64714i | −0.0833001 | − | 0.163486i | ||||
\(809\) | −15.4929 | + | 11.2563i | −0.544702 | + | 0.395749i | −0.825828 | − | 0.563922i | \(-0.809292\pi\) |
0.281126 | + | 0.959671i | \(0.409292\pi\) | |||||||
\(810\) | 37.4963 | − | 19.7318i | 1.31749 | − | 0.693305i | ||||
\(811\) | 24.0863 | + | 17.4997i | 0.845785 | + | 0.614499i | 0.923981 | − | 0.382439i | \(-0.124916\pi\) |
−0.0781955 | + | 0.996938i | \(0.524916\pi\) | |||||||
\(812\) | −0.554715 | + | 3.50233i | −0.0194667 | + | 0.122908i | ||||
\(813\) | −7.60234 | + | 14.8290i | −0.266626 | + | 0.520074i | ||||
\(814\) | −2.70496 | + | 3.72305i | −0.0948087 | + | 0.130493i | ||||
\(815\) | −7.15724 | − | 39.2822i | −0.250707 | − | 1.37600i | ||||
\(816\) | −8.21217 | − | 25.4905i | −0.287483 | − | 0.892344i | ||||
\(817\) | 0.138184 | − | 0.0704083i | 0.00483445 | − | 0.00246327i | ||||
\(818\) | 53.5217 | + | 53.5217i | 1.87134 | + | 1.87134i | ||||
\(819\) | 24.9354 | + | 34.6829i | 0.871314 | + | 1.21192i | ||||
\(820\) | −38.6753 | − | 11.5840i | −1.35060 | − | 0.404530i | ||||
\(821\) | 12.5951 | − | 4.09240i | 0.439572 | − | 0.142826i | −0.0808659 | − | 0.996725i | \(-0.525769\pi\) |
0.520438 | + | 0.853899i | \(0.325769\pi\) | |||||||
\(822\) | −28.9226 | + | 28.7788i | −1.00879 | + | 1.00378i | ||||
\(823\) | 1.69091 | − | 0.267813i | 0.0589413 | − | 0.00933539i | −0.126894 | − | 0.991916i | \(-0.540501\pi\) |
0.185835 | + | 0.982581i | \(0.440501\pi\) | |||||||
\(824\) | −2.07115 | −0.0721520 | ||||||||
\(825\) | 5.40393 | − | 5.89927i | 0.188141 | − | 0.205386i | ||||
\(826\) | −0.303050 | −0.0105445 | ||||||||
\(827\) | −26.1282 | + | 4.13831i | −0.908568 | + | 0.143903i | −0.593189 | − | 0.805063i | \(-0.702132\pi\) |
−0.315379 | + | 0.948966i | \(0.602132\pi\) | |||||||
\(828\) | −1.33800 | + | 0.673364i | −0.0464986 | + | 0.0234010i | ||||
\(829\) | 17.9708 | − | 5.83907i | 0.624152 | − | 0.202799i | 0.0201694 | − | 0.999797i | \(-0.493579\pi\) |
0.603983 | + | 0.796997i | \(0.293579\pi\) | |||||||
\(830\) | 41.9920 | − | 60.7031i | 1.45756 | − | 2.10703i | ||||
\(831\) | 23.4542 | − | 32.1133i | 0.813617 | − | 1.11400i | ||||
\(832\) | 39.5266 | + | 39.5266i | 1.37034 | + | 1.37034i | ||||
\(833\) | 4.02590 | − | 2.05130i | 0.139489 | − | 0.0710732i | ||||
\(834\) | −11.8627 | + | 3.82178i | −0.410773 | + | 0.132337i | ||||
\(835\) | −14.9040 | − | 14.2297i | −0.515776 | − | 0.492437i | ||||
\(836\) | 0.280284 | − | 0.385778i | 0.00969382 | − | 0.0133424i | ||||
\(837\) | 15.3283 | + | 30.6478i | 0.529822 | + | 1.05934i | ||||
\(838\) | 7.32840 | − | 46.2697i | 0.253155 | − | 1.59836i | ||||
\(839\) | 42.3961 | + | 30.8026i | 1.46368 | + | 1.06342i | 0.982386 | + | 0.186863i | \(0.0598322\pi\) |
0.481292 | + | 0.876561i | \(0.340168\pi\) | |||||||
\(840\) | 7.14123 | + | 6.85220i | 0.246396 | + | 0.236423i | ||||
\(841\) | 23.2429 | − | 16.8869i | 0.801478 | − | 0.582308i | ||||
\(842\) | 17.7713 | + | 34.8781i | 0.612439 | + | 1.20198i | ||||
\(843\) | −7.29737 | − | 14.4106i | −0.251335 | − | 0.496327i | ||||
\(844\) | −10.8537 | − | 3.52659i | −0.373601 | − | 0.121390i | ||||
\(845\) | 28.5925 | − | 0.661861i | 0.983612 | − | 0.0227687i | ||||
\(846\) | −18.2208 | + | 55.1410i | −0.626444 | + | 1.89579i | ||||
\(847\) | −12.9155 | + | 25.3481i | −0.443782 | + | 0.870970i | ||||
\(848\) | 5.38258 | + | 33.9842i | 0.184838 | + | 1.16702i | ||||
\(849\) | −17.9420 | + | 54.7551i | −0.615768 | + | 1.87919i | ||||
\(850\) | −53.2653 | − | 14.6196i | −1.82699 | − | 0.501449i | ||||
\(851\) | 0.485581i | 0.0166455i | ||||||||
\(852\) | −13.6995 | − | 2.20481i | −0.469339 | − | 0.0755355i | ||||
\(853\) | 9.96838 | + | 5.07914i | 0.341311 | + | 0.173906i | 0.616241 | − | 0.787558i | \(-0.288655\pi\) |
−0.274930 | + | 0.961464i | \(0.588655\pi\) | |||||||
\(854\) | −7.16765 | − | 22.0598i | −0.245272 | − | 0.754870i | ||||
\(855\) | 0.0258442 | + | 1.42305i | 0.000883852 | + | 0.0486673i | ||||
\(856\) | 0.134650 | − | 0.414409i | 0.00460223 | − | 0.0141642i | ||||
\(857\) | 37.2269 | − | 37.2269i | 1.27165 | − | 1.27165i | 0.326423 | − | 0.945224i | \(-0.394157\pi\) |
0.945224 | − | 0.326423i | \(-0.105843\pi\) | |||||||
\(858\) | −2.63419 | − | 16.9042i | −0.0899299 | − | 0.577100i | ||||
\(859\) | −24.6352 | − | 33.9074i | −0.840542 | − | 1.15691i | −0.985868 | − | 0.167523i | \(-0.946423\pi\) |
0.145326 | − | 0.989384i | \(-0.453577\pi\) | |||||||
\(860\) | 0.531000 | − | 3.94085i | 0.0181069 | − | 0.134382i | ||||
\(861\) | 29.2098 | − | 21.1112i | 0.995469 | − | 0.719466i | ||||
\(862\) | −30.8253 | − | 4.88224i | −1.04991 | − | 0.166290i | ||||
\(863\) | −10.1944 | − | 1.61464i | −0.347023 | − | 0.0549630i | −0.0195098 | − | 0.999810i | \(-0.506211\pi\) |
−0.327513 | + | 0.944847i | \(0.606211\pi\) | |||||||
\(864\) | −0.311877 | + | 41.7096i | −0.0106103 | + | 1.41899i | ||||
\(865\) | −13.3605 | − | 24.7861i | −0.454270 | − | 0.842753i | ||||
\(866\) | −10.5654 | − | 14.5420i | −0.359027 | − | 0.494158i | ||||
\(867\) | 18.0209 | − | 2.80821i | 0.612023 | − | 0.0953718i | ||||
\(868\) | −31.8087 | + | 31.8087i | −1.07966 | + | 1.07966i | ||||
\(869\) | −1.17326 | + | 3.61092i | −0.0398001 | + | 0.122492i | ||||
\(870\) | 0.0875352 | + | 4.23808i | 0.00296772 | + | 0.143684i | ||||
\(871\) | 7.19642 | + | 22.1483i | 0.243841 | + | 0.750467i | ||||
\(872\) | −4.06614 | − | 2.07180i | −0.137697 | − | 0.0701601i | ||||
\(873\) | −23.5476 | − | 12.1464i | −0.796967 | − | 0.411092i | ||||
\(874\) | − | 0.0916779i | − | 0.00310105i | ||||||
\(875\) | −30.5464 | + | 7.03992i | −1.03266 | + | 0.237993i | ||||
\(876\) | 45.5964 | + | 14.9409i | 1.54056 | + | 0.504807i | ||||
\(877\) | 5.32972 | + | 33.6506i | 0.179972 | + | 1.13630i | 0.897906 | + | 0.440187i | \(0.145088\pi\) |
−0.717934 | + | 0.696111i | \(0.754912\pi\) | |||||||
\(878\) | −6.71542 | + | 13.1797i | −0.226634 | + | 0.444795i | ||||
\(879\) | 0.119352 | − | 47.8861i | 0.00402564 | − | 1.61516i | ||||
\(880\) | 2.01451 | + | 5.74416i | 0.0679091 | + | 0.193636i | ||||
\(881\) | 28.3863 | + | 9.22328i | 0.956360 | + | 0.310740i | 0.745297 | − | 0.666732i | \(-0.232308\pi\) |
0.211063 | + | 0.977472i | \(0.432308\pi\) | |||||||
\(882\) | −5.37651 | + | 0.824104i | −0.181037 | + | 0.0277490i | ||||
\(883\) | −25.5428 | − | 50.1305i | −0.859583 | − | 1.68703i | −0.716806 | − | 0.697272i | \(-0.754397\pi\) |
−0.142777 | − | 0.989755i | \(-0.545603\pi\) | |||||||
\(884\) | −52.4458 | + | 38.1041i | −1.76394 | + | 1.28158i | ||||
\(885\) | −0.195694 | + | 0.0351519i | −0.00657819 | + | 0.00118162i | ||||
\(886\) | −11.3424 | − | 8.24072i | −0.381055 | − | 0.276852i | ||||
\(887\) | 5.96616 | − | 37.6688i | 0.200324 | − | 1.26480i | −0.658522 | − | 0.752562i | \(-0.728818\pi\) |
0.858846 | − | 0.512234i | \(-0.171182\pi\) | |||||||
\(888\) | −3.32374 | − | 1.70398i | −0.111538 | − | 0.0571818i | ||||
\(889\) | 21.4342 | − | 29.5016i | 0.718879 | − | 0.989452i | ||||
\(890\) | 36.0240 | + | 4.85396i | 1.20753 | + | 0.162705i | ||||
\(891\) | 4.95372 | − | 6.67719i | 0.165956 | − | 0.223694i | ||||
\(892\) | 36.1514 | − | 18.4201i | 1.21044 | − | 0.616749i | ||||
\(893\) | −1.37938 | − | 1.37938i | −0.0461592 | − | 0.0461592i | ||||
\(894\) | −14.3125 | − | 10.4533i | −0.478683 | − | 0.349609i | ||||
\(895\) | −13.5972 | − | 17.8321i | −0.454505 | − | 0.596061i | ||||
\(896\) | −18.9871 | + | 6.16928i | −0.634315 | + | 0.206101i | ||||
\(897\) | −1.27328 | − | 1.27965i | −0.0425137 | − | 0.0427261i | ||||
\(898\) | −56.5119 | + | 8.95061i | −1.88583 | + | 0.298686i | ||||
\(899\) | −3.42823 | −0.114338 | ||||||||
\(900\) | 30.3842 | + | 20.2128i | 1.01281 | + | 0.673761i | ||||
\(901\) | −61.2636 | −2.04099 | ||||||||
\(902\) | −14.2567 | + | 2.25804i | −0.474696 | + | 0.0751845i | ||||
\(903\) | 2.50377 | + | 2.51628i | 0.0833203 | + | 0.0837367i | ||||
\(904\) | 5.02259 | − | 1.63194i | 0.167049 | − | 0.0542774i | ||||
\(905\) | −0.171490 | − | 7.40842i | −0.00570054 | − | 0.246264i | ||||
\(906\) | −24.9762 | − | 18.2416i | −0.829779 | − | 0.606035i | ||||
\(907\) | −9.39707 | − | 9.39707i | −0.312024 | − | 0.312024i | 0.533669 | − | 0.845693i | \(-0.320813\pi\) |
−0.845693 | + | 0.533669i | \(0.820813\pi\) | |||||||
\(908\) | −47.3402 | + | 24.1210i | −1.57104 | + | 0.800485i | ||||
\(909\) | 17.1675 | + | 0.0855775i | 0.569410 | + | 0.00283843i | ||||
\(910\) | −29.0428 | + | 60.4167i | −0.962758 | + | 2.00279i | ||||
\(911\) | −16.0441 | + | 22.0828i | −0.531566 | + | 0.731637i | −0.987368 | − | 0.158444i | \(-0.949352\pi\) |
0.455802 | + | 0.890081i | \(0.349352\pi\) | |||||||
\(912\) | −0.963678 | − | 0.494048i | −0.0319106 | − | 0.0163596i | ||||
\(913\) | 2.26570 | − | 14.3051i | 0.0749838 | − | 0.473429i | ||||
\(914\) | 5.13214 | + | 3.72872i | 0.169756 | + | 0.123335i | ||||
\(915\) | −7.18730 | − | 13.4137i | −0.237605 | − | 0.443442i | ||||
\(916\) | 30.5727 | − | 22.2123i | 1.01015 | − | 0.733916i | ||||
\(917\) | 25.7824 | + | 50.6009i | 0.851411 | + | 1.67099i | ||||
\(918\) | −56.6267 | − | 9.40333i | −1.86896 | − | 0.310356i | ||||
\(919\) | 34.4230 | + | 11.1847i | 1.13551 | + | 0.368949i | 0.815667 | − | 0.578521i | \(-0.196370\pi\) |
0.319842 | + | 0.947471i | \(0.396370\pi\) | |||||||
\(920\) | −0.343968 | − | 0.237944i | −0.0113403 | − | 0.00784477i | ||||
\(921\) | 0.103438 | − | 41.5010i | 0.00340839 | − | 1.36750i | ||||
\(922\) | −31.5971 | + | 62.0129i | −1.04060 | + | 2.04228i | ||||
\(923\) | −2.61600 | − | 16.5168i | −0.0861068 | − | 0.543657i | ||||
\(924\) | 10.3717 | + | 3.39858i | 0.341204 | + | 0.111805i | ||||
\(925\) | 10.2811 | − | 5.85284i | 0.338040 | − | 0.192440i | ||||
\(926\) | 30.8918i | 1.01517i | ||||||||
\(927\) | 3.12529 | − | 6.05886i | 0.102648 | − | 0.198999i | ||||
\(928\) | −3.71809 | − | 1.89446i | −0.122052 | − | 0.0621887i | ||||
\(929\) | −13.7579 | − | 42.3425i | −0.451383 | − | 1.38921i | −0.875330 | − | 0.483526i | \(-0.839356\pi\) |
0.423948 | − | 0.905687i | \(-0.360644\pi\) | |||||||
\(930\) | −30.7034 | + | 44.1489i | −1.00680 | + | 1.44770i | ||||
\(931\) | 0.0564608 | − | 0.173769i | 0.00185043 | − | 0.00569503i | ||||
\(932\) | 9.60726 | − | 9.60726i | 0.314696 | − | 0.314696i | ||||
\(933\) | −4.96143 | + | 0.773143i | −0.162430 | + | 0.0253116i | ||||
\(934\) | 0.0563419 | + | 0.0775480i | 0.00184356 | + | 0.00253745i | ||||
\(935\) | −10.6627 | + | 1.94276i | −0.348709 | + | 0.0635349i | ||||
\(936\) | 13.2272 | − | 4.22499i | 0.432344 | − | 0.138098i | ||||
\(937\) | −19.1179 | − | 3.02798i | −0.624554 | − | 0.0989196i | −0.163867 | − | 0.986482i | \(-0.552397\pi\) |
−0.460687 | + | 0.887563i | \(0.652397\pi\) | |||||||
\(938\) | −26.7369 | − | 4.23471i | −0.872992 | − | 0.138268i | ||||
\(939\) | 19.1193 | − | 13.8183i | 0.623935 | − | 0.450944i | ||||
\(940\) | −49.2071 | + | 8.96556i | −1.60496 | + | 0.292424i | ||||
\(941\) | −21.8140 | − | 30.0244i | −0.711116 | − | 0.978767i | −0.999772 | − | 0.0213346i | \(-0.993208\pi\) |
0.288656 | − | 0.957433i | \(-0.406792\pi\) | |||||||
\(942\) | 8.70388 | + | 55.8548i | 0.283588 | + | 1.81985i | ||||
\(943\) | −1.07697 | + | 1.07697i | −0.0350710 | + | 0.0350710i | ||||
\(944\) | 0.0467486 | − | 0.143877i | 0.00152154 | − | 0.00468281i | ||||
\(945\) | −30.8210 | + | 10.5510i | −1.00261 | + | 0.343223i | ||||
\(946\) | −0.439328 | − | 1.35211i | −0.0142838 | − | 0.0439610i | ||||
\(947\) | 37.8632 | + | 19.2923i | 1.23039 | + | 0.626915i | 0.943603 | − | 0.331080i | \(-0.107413\pi\) |
0.286787 | + | 0.957994i | \(0.407413\pi\) | |||||||
\(948\) | −17.0989 | − | 2.75190i | −0.555346 | − | 0.0893776i | ||||
\(949\) | 57.8262i | 1.87712i | ||||||||
\(950\) | −1.94107 | + | 1.10502i | −0.0629767 | + | 0.0358515i | ||||
\(951\) | −16.3107 | + | 49.7766i | −0.528910 | + | 1.61412i | ||||
\(952\) | −2.09745 | − | 13.2428i | −0.0679787 | − | 0.429201i | ||||
\(953\) | 2.66087 | − | 5.22226i | 0.0861942 | − | 0.169166i | −0.843886 | − | 0.536523i | \(-0.819737\pi\) |
0.930080 | + | 0.367357i | \(0.119737\pi\) | |||||||
\(954\) | 70.0263 | + | 23.1395i | 2.26719 | + | 0.749168i | ||||
\(955\) | 17.2177 | + | 11.9105i | 0.557152 | + | 0.385416i | ||||
\(956\) | −42.8562 | − | 13.9248i | −1.38607 | − | 0.450361i | ||||
\(957\) | 0.375770 | + | 0.742056i | 0.0121469 | + | 0.0239873i | ||||
\(958\) | 5.51047 | + | 10.8149i | 0.178035 | + | 0.349414i | ||||
\(959\) | 25.3787 | − | 18.4387i | 0.819522 | − | 0.595417i | ||||
\(960\) | −37.5764 | + | 20.1341i | −1.21277 | + | 0.649826i | ||||
\(961\) | −10.1050 | − | 7.34170i | −0.325967 | − | 0.236829i | ||||
\(962\) | 3.95759 | − | 24.9872i | 0.127598 | − | 0.805620i | ||||
\(963\) | 1.00911 | + | 1.01922i | 0.0325182 | + | 0.0328441i | ||||
\(964\) | −18.4944 | + | 25.4553i | −0.595663 | + | 0.819860i | ||||
\(965\) | −2.13396 | + | 4.43920i | −0.0686945 | + | 0.142903i | ||||
\(966\) | 1.99728 | − | 0.643456i | 0.0642614 | − | 0.0207029i | ||||
\(967\) | 49.2268 | − | 25.0823i | 1.58303 | − | 0.806593i | 0.583045 | − | 0.812440i | \(-0.301861\pi\) |
0.999983 | + | 0.00584637i | \(0.00186097\pi\) | |||||||
\(968\) | 6.53912 | + | 6.53912i | 0.210175 | + | 0.210175i | ||||
\(969\) | 1.13724 | − | 1.55711i | 0.0365336 | − | 0.0500215i | ||||
\(970\) | −0.962236 | − | 41.5688i | −0.0308955 | − | 1.33469i | ||||
\(971\) | −50.9146 | + | 16.5432i | −1.63393 | + | 0.530895i | −0.975169 | − | 0.221460i | \(-0.928918\pi\) |
−0.658758 | + | 0.752355i | \(0.728918\pi\) | |||||||
\(972\) | 33.5741 | + | 17.6373i | 1.07689 | + | 0.565717i | ||||
\(973\) | 9.46429 | − | 1.49900i | 0.303411 | − | 0.0480556i | ||||
\(974\) | −17.5424 | −0.562096 | ||||||||
\(975\) | −11.7464 | + | 42.3828i | −0.376185 | + | 1.35734i | ||||
\(976\) | 11.5789 | 0.370631 | ||||||||
\(977\) | 17.7277 | − | 2.80780i | 0.567161 | − | 0.0898294i | 0.133732 | − | 0.991017i | \(-0.457304\pi\) |
0.433428 | + | 0.901188i | \(0.357304\pi\) | |||||||
\(978\) | 46.1606 | − | 45.9310i | 1.47605 | − | 1.46871i | ||||
\(979\) | 6.78343 | − | 2.20407i | 0.216799 | − | 0.0704424i | ||||
\(980\) | −2.84059 | − | 3.72529i | −0.0907393 | − | 0.119000i | ||||
\(981\) | 12.1964 | − | 8.76866i | 0.389401 | − | 0.279962i | ||||
\(982\) | −3.49857 | − | 3.49857i | −0.111644 | − | 0.111644i | ||||
\(983\) | 17.3894 | − | 8.86036i | 0.554637 | − | 0.282602i | −0.154123 | − | 0.988052i | \(-0.549255\pi\) |
0.708760 | + | 0.705450i | \(0.249255\pi\) | |||||||
\(984\) | −3.59248 | − | 11.1510i | −0.114524 | − | 0.355481i | ||||
\(985\) | 34.2482 | + | 4.61468i | 1.09124 | + | 0.147036i | ||||
\(986\) | 3.37550 | − | 4.64597i | 0.107498 | − | 0.147958i | ||||
\(987\) | 20.3696 | − | 39.7324i | 0.648370 | − | 1.26470i | ||||
\(988\) | −0.410080 | + | 2.58914i | −0.0130464 | + | 0.0823716i | ||||
\(989\) | −0.121362 | − | 0.0881750i | −0.00385910 | − | 0.00280380i | ||||
\(990\) | 12.9216 | + | 1.80672i | 0.410677 | + | 0.0574213i | ||||
\(991\) | 12.9781 | − | 9.42911i | 0.412262 | − | 0.299526i | −0.362255 | − | 0.932079i | \(-0.617993\pi\) |
0.774517 | + | 0.632553i | \(0.217993\pi\) | |||||||
\(992\) | −24.0331 | − | 47.1676i | −0.763051 | − | 1.49757i | ||||
\(993\) | 14.8884 | − | 7.53932i | 0.472468 | − | 0.239253i | ||||
\(994\) | 18.4871 | + | 6.00684i | 0.586376 | + | 0.190525i | ||||
\(995\) | 5.08596 | + | 14.5021i | 0.161236 | + | 0.459747i | ||||
\(996\) | 66.0661 | + | 0.164664i | 2.09338 | + | 0.00521757i | ||||
\(997\) | −5.47711 | + | 10.7494i | −0.173462 | + | 0.340438i | −0.961327 | − | 0.275410i | \(-0.911186\pi\) |
0.787865 | + | 0.615848i | \(0.211186\pi\) | |||||||
\(998\) | 4.76603 | + | 30.0915i | 0.150866 | + | 0.952531i | ||||
\(999\) | 10.0001 | − | 7.15190i | 0.316391 | − | 0.226276i |
(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 | 75.2.l.a.62.8 | yes | 64 | |
3.2 | odd | 2 | inner | 75.2.l.a.62.1 | yes | 64 | |
5.2 | odd | 4 | 375.2.l.b.293.8 | 64 | |||
5.3 | odd | 4 | 375.2.l.a.293.1 | 64 | |||
5.4 | even | 2 | 375.2.l.c.332.1 | 64 | |||
15.2 | even | 4 | 375.2.l.b.293.1 | 64 | |||
15.8 | even | 4 | 375.2.l.a.293.8 | 64 | |||
15.14 | odd | 2 | 375.2.l.c.332.8 | 64 | |||
25.2 | odd | 20 | 375.2.l.c.218.8 | 64 | |||
25.11 | even | 5 | 375.2.l.a.32.8 | 64 | |||
25.14 | even | 10 | 375.2.l.b.32.1 | 64 | |||
25.23 | odd | 20 | inner | 75.2.l.a.23.1 | ✓ | 64 | |
75.2 | even | 20 | 375.2.l.c.218.1 | 64 | |||
75.11 | odd | 10 | 375.2.l.a.32.1 | 64 | |||
75.14 | odd | 10 | 375.2.l.b.32.8 | 64 | |||
75.23 | even | 20 | inner | 75.2.l.a.23.8 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
75.2.l.a.23.1 | ✓ | 64 | 25.23 | odd | 20 | inner | |
75.2.l.a.23.8 | yes | 64 | 75.23 | even | 20 | inner | |
75.2.l.a.62.1 | yes | 64 | 3.2 | odd | 2 | inner | |
75.2.l.a.62.8 | yes | 64 | 1.1 | even | 1 | trivial | |
375.2.l.a.32.1 | 64 | 75.11 | odd | 10 | |||
375.2.l.a.32.8 | 64 | 25.11 | even | 5 | |||
375.2.l.a.293.1 | 64 | 5.3 | odd | 4 | |||
375.2.l.a.293.8 | 64 | 15.8 | even | 4 | |||
375.2.l.b.32.1 | 64 | 25.14 | even | 10 | |||
375.2.l.b.32.8 | 64 | 75.14 | odd | 10 | |||
375.2.l.b.293.1 | 64 | 15.2 | even | 4 | |||
375.2.l.b.293.8 | 64 | 5.2 | odd | 4 | |||
375.2.l.c.218.1 | 64 | 75.2 | even | 20 | |||
375.2.l.c.218.8 | 64 | 25.2 | odd | 20 | |||
375.2.l.c.332.1 | 64 | 5.4 | even | 2 | |||
375.2.l.c.332.8 | 64 | 15.14 | odd | 2 |