Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [144,2,Mod(11,144)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(144, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("144.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 144 = 2^{4} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 144.u (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.14984578911\) |
Analytic rank: | \(0\) |
Dimension: | \(88\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 11.14 | ||
Character | \(\chi\) | \(=\) | 144.11 |
Dual form | 144.2.u.a.131.14 |
$q$-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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.232839 | − | 1.39491i | 0.164642 | − | 0.986353i | ||||
\(3\) | 1.23430 | − | 1.21512i | 0.712621 | − | 0.701550i | ||||
\(4\) | −1.89157 | − | 0.649582i | −0.945786 | − | 0.324791i | ||||
\(5\) | −2.70956 | − | 0.726024i | −1.21175 | − | 0.324688i | −0.404302 | − | 0.914625i | \(-0.632486\pi\) |
−0.807449 | + | 0.589938i | \(0.799152\pi\) | |||||||
\(6\) | −1.40760 | − | 2.00466i | −0.574648 | − | 0.818400i | ||||
\(7\) | −0.00424642 | + | 0.00735502i | −0.00160500 | + | 0.00277994i | −0.866827 | − | 0.498609i | \(-0.833844\pi\) |
0.865222 | + | 0.501389i | \(0.167178\pi\) | |||||||
\(8\) | −1.34654 | + | 2.48733i | −0.476075 | + | 0.879405i | ||||
\(9\) | 0.0469689 | − | 2.99963i | 0.0156563 | − | 0.999877i | ||||
\(10\) | −1.64363 | + | 3.61055i | −0.519762 | + | 1.14176i | ||||
\(11\) | 3.00129 | − | 0.804193i | 0.904923 | − | 0.242473i | 0.223794 | − | 0.974637i | \(-0.428156\pi\) |
0.681129 | + | 0.732163i | \(0.261489\pi\) | |||||||
\(12\) | −3.12408 | + | 1.49671i | −0.901843 | + | 0.432063i | ||||
\(13\) | 6.42317 | + | 1.72108i | 1.78147 | + | 0.477342i | 0.990850 | − | 0.134969i | \(-0.0430936\pi\) |
0.790616 | + | 0.612312i | \(0.209760\pi\) | |||||||
\(14\) | 0.00927089 | + | 0.00763594i | 0.00247775 | + | 0.00204079i | ||||
\(15\) | −4.22660 | + | 2.39631i | −1.09130 | + | 0.618724i | ||||
\(16\) | 3.15609 | + | 2.45746i | 0.789022 | + | 0.614365i | ||||
\(17\) | − | 3.37812i | − | 0.819314i | −0.912240 | − | 0.409657i | \(-0.865648\pi\) | ||
0.912240 | − | 0.409657i | \(-0.134352\pi\) | |||||||
\(18\) | −4.17329 | − | 0.763950i | −0.983655 | − | 0.180065i | ||||
\(19\) | 1.35881 | + | 1.35881i | 0.311733 | + | 0.311733i | 0.845581 | − | 0.533848i | \(-0.179254\pi\) |
−0.533848 | + | 0.845581i | \(0.679254\pi\) | |||||||
\(20\) | 4.65371 | + | 3.13340i | 1.04060 | + | 0.700651i | ||||
\(21\) | 0.00369589 | + | 0.0142382i | 0.000806510 | + | 0.00310703i | ||||
\(22\) | −0.422962 | − | 4.37379i | −0.0901759 | − | 0.932495i | ||||
\(23\) | −5.38718 | + | 3.11029i | −1.12331 | + | 0.648541i | −0.942243 | − | 0.334931i | \(-0.891287\pi\) |
−0.181062 | + | 0.983472i | \(0.557954\pi\) | |||||||
\(24\) | 1.36037 | + | 4.70631i | 0.277685 | + | 0.960672i | ||||
\(25\) | 2.48446 | + | 1.43441i | 0.496893 | + | 0.286881i | ||||
\(26\) | 3.89633 | − | 8.55903i | 0.764133 | − | 1.67856i | ||||
\(27\) | −3.58694 | − | 3.75950i | −0.690307 | − | 0.723517i | ||||
\(28\) | 0.0128101 | − | 0.0111542i | 0.00242088 | − | 0.00210794i | ||||
\(29\) | 3.27685 | − | 0.878030i | 0.608496 | − | 0.163046i | 0.0586036 | − | 0.998281i | \(-0.481335\pi\) |
0.549893 | + | 0.835235i | \(0.314669\pi\) | |||||||
\(30\) | 2.35853 | + | 6.45370i | 0.430606 | + | 1.17828i | ||||
\(31\) | −6.70211 | + | 3.86947i | −1.20374 | + | 0.694977i | −0.961384 | − | 0.275212i | \(-0.911252\pi\) |
−0.242352 | + | 0.970188i | \(0.577919\pi\) | |||||||
\(32\) | 4.16281 | − | 3.83028i | 0.735888 | − | 0.677104i | ||||
\(33\) | 2.72729 | − | 4.63954i | 0.474760 | − | 0.807640i | ||||
\(34\) | −4.71218 | − | 0.786559i | −0.808133 | − | 0.134894i | ||||
\(35\) | 0.0168459 | − | 0.0168459i | 0.00284747 | − | 0.00284747i | ||||
\(36\) | −2.03735 | + | 5.64351i | −0.339559 | + | 0.940585i | ||||
\(37\) | 0.769697 | + | 0.769697i | 0.126537 | + | 0.126537i | 0.767539 | − | 0.641002i | \(-0.221481\pi\) |
−0.641002 | + | 0.767539i | \(0.721481\pi\) | |||||||
\(38\) | 2.21181 | − | 1.57904i | 0.358803 | − | 0.256155i | ||||
\(39\) | 10.0194 | − | 5.68059i | 1.60439 | − | 0.909623i | ||||
\(40\) | 5.45440 | − | 5.76195i | 0.862416 | − | 0.911044i | ||||
\(41\) | 2.64756 | + | 4.58570i | 0.413479 | + | 0.716166i | 0.995267 | − | 0.0971739i | \(-0.0309803\pi\) |
−0.581789 | + | 0.813340i | \(0.697647\pi\) | |||||||
\(42\) | 0.0207216 | − | 0.00184024i | 0.00319741 | − | 0.000283956i | ||||
\(43\) | 1.60713 | + | 5.99790i | 0.245086 | + | 0.914672i | 0.973340 | + | 0.229365i | \(0.0736650\pi\) |
−0.728255 | + | 0.685306i | \(0.759668\pi\) | |||||||
\(44\) | −6.19954 | − | 0.428394i | −0.934617 | − | 0.0645828i | ||||
\(45\) | −2.30507 | + | 8.09358i | −0.343619 | + | 1.20652i | ||||
\(46\) | 3.08424 | + | 8.23886i | 0.454747 | + | 1.21475i | ||||
\(47\) | 0.0955284 | − | 0.165460i | 0.0139343 | − | 0.0241348i | −0.858974 | − | 0.512019i | \(-0.828898\pi\) |
0.872908 | + | 0.487884i | \(0.162231\pi\) | |||||||
\(48\) | 6.88165 | − | 0.801791i | 0.993281 | − | 0.115729i | ||||
\(49\) | 3.49996 | + | 6.06212i | 0.499995 | + | 0.866016i | ||||
\(50\) | 2.57935 | − | 3.13163i | 0.364776 | − | 0.442879i | ||||
\(51\) | −4.10482 | − | 4.16959i | −0.574789 | − | 0.583860i | ||||
\(52\) | −11.0319 | − | 7.42792i | −1.52985 | − | 1.03007i | ||||
\(53\) | 0.750557 | − | 0.750557i | 0.103097 | − | 0.103097i | −0.653677 | − | 0.756774i | \(-0.726774\pi\) |
0.756774 | + | 0.653677i | \(0.226774\pi\) | |||||||
\(54\) | −6.07937 | + | 4.12811i | −0.827297 | + | 0.561765i | ||||
\(55\) | −8.71603 | −1.17527 | ||||||||
\(56\) | −0.0125764 | − | 0.0204661i | −0.00168059 | − | 0.00273490i | ||||
\(57\) | 3.32830 | + | 0.0260560i | 0.440844 | + | 0.00345120i | ||||
\(58\) | −0.461797 | − | 4.77537i | −0.0606369 | − | 0.627037i | ||||
\(59\) | −2.43515 | + | 9.08809i | −0.317029 | + | 1.18317i | 0.605057 | + | 0.796182i | \(0.293150\pi\) |
−0.922086 | + | 0.386986i | \(0.873516\pi\) | |||||||
\(60\) | 9.55151 | − | 1.78727i | 1.23310 | − | 0.230735i | ||||
\(61\) | −2.64143 | − | 9.85796i | −0.338201 | − | 1.26218i | −0.900357 | − | 0.435152i | \(-0.856695\pi\) |
0.562156 | − | 0.827031i | \(-0.309972\pi\) | |||||||
\(62\) | 3.83706 | + | 10.2498i | 0.487307 | + | 1.30173i | ||||
\(63\) | 0.0218629 | + | 0.0130832i | 0.00275447 | + | 0.00164832i | ||||
\(64\) | −4.37364 | − | 6.69860i | −0.546705 | − | 0.837325i | ||||
\(65\) | −16.1544 | − | 9.32674i | −2.00371 | − | 1.15684i | ||||
\(66\) | −5.83674 | − | 4.88460i | −0.718453 | − | 0.601252i | ||||
\(67\) | 2.08238 | − | 7.77154i | 0.254403 | − | 0.949445i | −0.714019 | − | 0.700127i | \(-0.753127\pi\) |
0.968422 | − | 0.249318i | \(-0.0802065\pi\) | |||||||
\(68\) | −2.19436 | + | 6.38995i | −0.266106 | + | 0.774895i | ||||
\(69\) | −2.87000 | + | 10.3851i | −0.345507 | + | 1.25022i | ||||
\(70\) | −0.0195761 | − | 0.0274209i | −0.00233980 | − | 0.00327742i | ||||
\(71\) | − | 1.02260i | − | 0.121360i | −0.998157 | − | 0.0606801i | \(-0.980673\pi\) | ||
0.998157 | − | 0.0606801i | \(-0.0193269\pi\) | |||||||
\(72\) | 7.39784 | + | 4.15596i | 0.871843 | + | 0.489785i | ||||
\(73\) | − | 7.30911i | − | 0.855467i | −0.903905 | − | 0.427734i | \(-0.859312\pi\) | ||
0.903905 | − | 0.427734i | \(-0.140688\pi\) | |||||||
\(74\) | 1.25288 | − | 0.894445i | 0.145644 | − | 0.103977i | ||||
\(75\) | 4.80954 | − | 1.24844i | 0.555357 | − | 0.144157i | ||||
\(76\) | −1.68763 | − | 3.45295i | −0.193585 | − | 0.396081i | ||||
\(77\) | −0.00682989 | + | 0.0254895i | −0.000778338 | + | 0.00290480i | ||||
\(78\) | −5.59103 | − | 15.2989i | −0.633059 | − | 1.73226i | ||||
\(79\) | −4.36074 | − | 2.51768i | −0.490622 | − | 0.283261i | 0.234211 | − | 0.972186i | \(-0.424749\pi\) |
−0.724832 | + | 0.688925i | \(0.758083\pi\) | |||||||
\(80\) | −6.76742 | − | 8.95003i | −0.756621 | − | 1.00064i | ||||
\(81\) | −8.99559 | − | 0.281779i | −0.999510 | − | 0.0313088i | ||||
\(82\) | 7.01311 | − | 2.62538i | 0.774469 | − | 0.289925i | ||||
\(83\) | 3.35017 | + | 12.5030i | 0.367729 | + | 1.37238i | 0.863684 | + | 0.504034i | \(0.168151\pi\) |
−0.495955 | + | 0.868348i | \(0.665182\pi\) | |||||||
\(84\) | 0.00225782 | − | 0.0293333i | 0.000246348 | − | 0.00320053i | ||||
\(85\) | −2.45259 | + | 9.15320i | −0.266021 | + | 0.992804i | ||||
\(86\) | 8.74076 | − | 0.845266i | 0.942541 | − | 0.0911473i | ||||
\(87\) | 2.97769 | − | 5.06552i | 0.319242 | − | 0.543080i | ||||
\(88\) | −2.04107 | + | 8.54809i | −0.217579 | + | 0.911229i | ||||
\(89\) | −18.1774 | −1.92680 | −0.963399 | − | 0.268070i | \(-0.913614\pi\) | ||||
−0.963399 | + | 0.268070i | \(0.913614\pi\) | |||||||
\(90\) | 10.7531 | + | 5.09988i | 1.13348 | + | 0.537574i | ||||
\(91\) | −0.0399341 | + | 0.0399341i | −0.00418623 | + | 0.00418623i | ||||
\(92\) | 12.2106 | − | 2.38392i | 1.27305 | − | 0.248541i | ||||
\(93\) | −3.57052 | + | 12.9199i | −0.370246 | + | 1.33973i | ||||
\(94\) | −0.208560 | − | 0.171780i | −0.0215113 | − | 0.0177177i | ||||
\(95\) | −2.69525 | − | 4.66831i | −0.276527 | − | 0.478959i | ||||
\(96\) | 0.483889 | − | 9.78600i | 0.0493867 | − | 0.998780i | ||||
\(97\) | 1.64497 | − | 2.84917i | 0.167021 | − | 0.289289i | −0.770350 | − | 0.637621i | \(-0.779918\pi\) |
0.937371 | + | 0.348332i | \(0.113252\pi\) | |||||||
\(98\) | 9.27106 | − | 3.47065i | 0.936519 | − | 0.350589i | ||||
\(99\) | −2.27132 | − | 9.04054i | −0.228276 | − | 0.908608i | ||||
\(100\) | −3.76778 | − | 4.32714i | −0.376778 | − | 0.432714i | ||||
\(101\) | 0.714822 | + | 2.66775i | 0.0711275 | + | 0.265451i | 0.992327 | − | 0.123638i | \(-0.0394563\pi\) |
−0.921200 | + | 0.389090i | \(0.872790\pi\) | |||||||
\(102\) | −6.77199 | + | 4.75502i | −0.670527 | + | 0.470817i | ||||
\(103\) | 5.52502 | + | 9.56961i | 0.544396 | + | 0.942922i | 0.998645 | + | 0.0520466i | \(0.0165744\pi\) |
−0.454249 | + | 0.890875i | \(0.650092\pi\) | |||||||
\(104\) | −12.9300 | + | 13.6590i | −1.26789 | + | 1.33938i | ||||
\(105\) | 0.000323029 | − | 0.0412625i | 3.15244e−5 | − | 0.00402681i | ||||
\(106\) | −0.872204 | − | 1.22172i | −0.0847159 | − | 0.118664i | ||||
\(107\) | 1.93562 | + | 1.93562i | 0.187124 | + | 0.187124i | 0.794451 | − | 0.607328i | \(-0.207759\pi\) |
−0.607328 | + | 0.794451i | \(0.707759\pi\) | |||||||
\(108\) | 4.34285 | + | 9.44138i | 0.417891 | + | 0.908497i | ||||
\(109\) | 5.98392 | − | 5.98392i | 0.573155 | − | 0.573155i | −0.359853 | − | 0.933009i | \(-0.617173\pi\) |
0.933009 | + | 0.359853i | \(0.117173\pi\) | |||||||
\(110\) | −2.02943 | + | 12.1581i | −0.193499 | + | 1.15923i | ||||
\(111\) | 1.88531 | + | 0.0147594i | 0.178945 | + | 0.00140090i | ||||
\(112\) | −0.0314768 | + | 0.0127777i | −0.00297428 | + | 0.00120738i | ||||
\(113\) | 11.7864 | − | 6.80488i | 1.10877 | − | 0.640149i | 0.170260 | − | 0.985399i | \(-0.445539\pi\) |
0.938511 | + | 0.345250i | \(0.112206\pi\) | |||||||
\(114\) | 0.811304 | − | 4.63662i | 0.0759856 | − | 0.434259i | ||||
\(115\) | 16.8550 | − | 4.51629i | 1.57174 | − | 0.421146i | ||||
\(116\) | −6.76876 | − | 0.467727i | −0.628463 | − | 0.0434274i | ||||
\(117\) | 5.46430 | − | 19.1863i | 0.505175 | − | 1.77377i | ||||
\(118\) | 12.1101 | + | 5.51288i | 1.11483 | + | 0.507502i | ||||
\(119\) | 0.0248461 | + | 0.0143449i | 0.00227764 | + | 0.00131500i | ||||
\(120\) | −0.269118 | − | 13.7397i | −0.0245670 | − | 1.25426i | ||||
\(121\) | −1.16526 | + | 0.672766i | −0.105933 | + | 0.0611605i | ||||
\(122\) | −14.3660 | + | 1.38925i | −1.30064 | + | 0.125777i | ||||
\(123\) | 8.84004 | + | 2.44301i | 0.797079 | + | 0.220279i | ||||
\(124\) | 15.1911 | − | 2.96580i | 1.36420 | − | 0.266337i | ||||
\(125\) | 4.22728 | + | 4.22728i | 0.378100 | + | 0.378100i | ||||
\(126\) | 0.0233404 | − | 0.0274506i | 0.00207933 | − | 0.00244550i | ||||
\(127\) | − | 7.01184i | − | 0.622200i | −0.950377 | − | 0.311100i | \(-0.899303\pi\) | ||
0.950377 | − | 0.311100i | \(-0.100697\pi\) | |||||||
\(128\) | −10.3623 | + | 4.54116i | −0.915909 | + | 0.401386i | ||||
\(129\) | 9.27185 | + | 5.45032i | 0.816340 | + | 0.479874i | ||||
\(130\) | −16.7714 | + | 20.3624i | −1.47095 | + | 1.78590i | ||||
\(131\) | −8.04427 | − | 2.15546i | −0.702831 | − | 0.188323i | −0.110333 | − | 0.993895i | \(-0.535192\pi\) |
−0.592498 | + | 0.805572i | \(0.701858\pi\) | |||||||
\(132\) | −8.17262 | + | 7.00442i | −0.711335 | + | 0.609657i | ||||
\(133\) | −0.0157642 | + | 0.00422400i | −0.00136693 | + | 0.000366268i | ||||
\(134\) | −10.3558 | − | 4.71426i | −0.894603 | − | 0.407250i | ||||
\(135\) | 6.98953 | + | 12.7908i | 0.601563 | + | 1.10086i | ||||
\(136\) | 8.40250 | + | 4.54878i | 0.720508 | + | 0.390055i | ||||
\(137\) | −2.71852 | + | 4.70861i | −0.232259 | + | 0.402284i | −0.958472 | − | 0.285185i | \(-0.907945\pi\) |
0.726214 | + | 0.687469i | \(0.241278\pi\) | |||||||
\(138\) | 13.8181 | + | 6.42146i | 1.17627 | + | 0.546631i | ||||
\(139\) | −13.5977 | − | 3.64349i | −1.15334 | − | 0.309037i | −0.369038 | − | 0.929414i | \(-0.620313\pi\) |
−0.784303 | + | 0.620378i | \(0.786979\pi\) | |||||||
\(140\) | −0.0428079 | + | 0.0209224i | −0.00361793 | + | 0.00176826i | ||||
\(141\) | −0.0831435 | − | 0.320305i | −0.00700195 | − | 0.0269746i | ||||
\(142\) | −1.42644 | − | 0.238101i | −0.119704 | − | 0.0199810i | ||||
\(143\) | 20.6619 | 1.72783 | ||||||||
\(144\) | 7.51972 | − | 9.35168i | 0.626643 | − | 0.779306i | ||||
\(145\) | −9.51629 | −0.790285 | ||||||||
\(146\) | −10.1956 | − | 1.70185i | −0.843793 | − | 0.140846i | ||||
\(147\) | 11.6862 | + | 3.22956i | 0.963860 | + | 0.266370i | ||||
\(148\) | −0.955956 | − | 1.95592i | −0.0785791 | − | 0.160775i | ||||
\(149\) | 9.17223 | + | 2.45769i | 0.751419 | + | 0.201342i | 0.614147 | − | 0.789191i | \(-0.289500\pi\) |
0.137271 | + | 0.990533i | \(0.456167\pi\) | |||||||
\(150\) | −0.621618 | − | 6.99958i | −0.0507549 | − | 0.571513i | ||||
\(151\) | −2.26744 | + | 3.92732i | −0.184522 | + | 0.319601i | −0.943415 | − | 0.331614i | \(-0.892407\pi\) |
0.758893 | + | 0.651215i | \(0.225740\pi\) | |||||||
\(152\) | −5.20952 | + | 1.55012i | −0.422548 | + | 0.125731i | ||||
\(153\) | −10.1331 | − | 0.158667i | −0.819213 | − | 0.0128274i | ||||
\(154\) | 0.0339654 | + | 0.0154621i | 0.00273701 | + | 0.00124597i | ||||
\(155\) | 20.9691 | − | 5.61865i | 1.68428 | − | 0.451301i | ||||
\(156\) | −22.6424 | + | 4.23683i | −1.81285 | + | 0.339218i | ||||
\(157\) | −19.1085 | − | 5.12011i | −1.52502 | − | 0.408629i | −0.603632 | − | 0.797263i | \(-0.706280\pi\) |
−0.921392 | + | 0.388634i | \(0.872947\pi\) | |||||||
\(158\) | −4.52729 | + | 5.49665i | −0.360172 | + | 0.437290i | ||||
\(159\) | 0.0143924 | − | 1.83843i | 0.00114139 | − | 0.145797i | ||||
\(160\) | −14.0602 | + | 7.35606i | −1.11156 | + | 0.581548i | ||||
\(161\) | − | 0.0528305i | − | 0.00416362i | ||||||
\(162\) | −2.48758 | + | 12.4825i | −0.195443 | + | 0.980715i | ||||
\(163\) | −6.31776 | − | 6.31776i | −0.494845 | − | 0.494845i | 0.414984 | − | 0.909829i | \(-0.363787\pi\) |
−0.909829 | + | 0.414984i | \(0.863787\pi\) | |||||||
\(164\) | −2.02925 | − | 10.3940i | −0.158458 | − | 0.811634i | ||||
\(165\) | −10.7582 | + | 10.5910i | −0.837521 | + | 0.824510i | ||||
\(166\) | 18.2207 | − | 1.76201i | 1.41420 | − | 0.136758i | ||||
\(167\) | 10.2973 | − | 5.94513i | 0.796827 | − | 0.460048i | −0.0455334 | − | 0.998963i | \(-0.514499\pi\) |
0.842360 | + | 0.538915i | \(0.181165\pi\) | |||||||
\(168\) | −0.0403918 | − | 0.00997942i | −0.00311629 | − | 0.000769929i | ||||
\(169\) | 27.0366 | + | 15.6096i | 2.07974 | + | 1.20074i | ||||
\(170\) | 12.1969 | + | 5.55238i | 0.935457 | + | 0.425848i | ||||
\(171\) | 4.13976 | − | 4.01212i | 0.316575 | − | 0.306814i | ||||
\(172\) | 0.856120 | − | 12.3894i | 0.0652786 | − | 0.944685i | ||||
\(173\) | −0.468462 | + | 0.125524i | −0.0356165 | + | 0.00954341i | −0.276583 | − | 0.960990i | \(-0.589202\pi\) |
0.240967 | + | 0.970533i | \(0.422536\pi\) | |||||||
\(174\) | −6.37264 | − | 5.33308i | −0.483108 | − | 0.404300i | ||||
\(175\) | −0.0211002 | + | 0.0121822i | −0.00159502 | + | 0.000920887i | ||||
\(176\) | 11.4486 | + | 4.83745i | 0.862971 | + | 0.364636i | ||||
\(177\) | 8.03743 | + | 14.1764i | 0.604130 | + | 1.06556i | ||||
\(178\) | −4.23241 | + | 25.3559i | −0.317232 | + | 1.90050i | ||||
\(179\) | −6.91661 | + | 6.91661i | −0.516971 | + | 0.516971i | −0.916654 | − | 0.399682i | \(-0.869120\pi\) |
0.399682 | + | 0.916654i | \(0.369120\pi\) | |||||||
\(180\) | 9.61764 | − | 13.8122i | 0.716857 | − | 1.02950i | ||||
\(181\) | −2.19753 | − | 2.19753i | −0.163341 | − | 0.163341i | 0.620704 | − | 0.784045i | \(-0.286847\pi\) |
−0.784045 | + | 0.620704i | \(0.786847\pi\) | |||||||
\(182\) | 0.0464064 | + | 0.0650029i | 0.00343987 | + | 0.00481833i | ||||
\(183\) | −15.2389 | − | 8.95798i | −1.12649 | − | 0.662193i | ||||
\(184\) | −0.482254 | − | 17.5879i | −0.0355523 | − | 1.29659i | ||||
\(185\) | −1.52672 | − | 2.64436i | −0.112247 | − | 0.194417i | ||||
\(186\) | 17.1908 | + | 7.98884i | 1.26049 | + | 0.585770i | ||||
\(187\) | −2.71666 | − | 10.1387i | −0.198662 | − | 0.741416i | ||||
\(188\) | −0.288179 | + | 0.250926i | −0.0210176 | + | 0.0183007i | ||||
\(189\) | 0.0428829 | − | 0.0104176i | 0.00311927 | − | 0.000757766i | ||||
\(190\) | −7.13946 | + | 2.67268i | −0.517951 | + | 0.193896i | ||||
\(191\) | 6.33144 | − | 10.9664i | 0.458127 | − | 0.793499i | −0.540735 | − | 0.841193i | \(-0.681854\pi\) |
0.998862 | + | 0.0476936i | \(0.0151871\pi\) | |||||||
\(192\) | −13.5380 | − | 2.95355i | −0.977019 | − | 0.213154i | ||||
\(193\) | 4.99499 | + | 8.65157i | 0.359547 | + | 0.622754i | 0.987885 | − | 0.155187i | \(-0.0495979\pi\) |
−0.628338 | + | 0.777940i | \(0.716265\pi\) | |||||||
\(194\) | −3.59133 | − | 2.95799i | −0.257843 | − | 0.212371i | ||||
\(195\) | −31.2724 | + | 8.11757i | −2.23946 | + | 0.581311i | ||||
\(196\) | −2.68259 | − | 13.7404i | −0.191614 | − | 0.981460i | ||||
\(197\) | −0.273888 | + | 0.273888i | −0.0195137 | + | 0.0195137i | −0.716796 | − | 0.697283i | \(-0.754392\pi\) |
0.697283 | + | 0.716796i | \(0.254392\pi\) | |||||||
\(198\) | −13.1396 | + | 1.06330i | −0.933793 | + | 0.0755654i | ||||
\(199\) | −18.0544 | −1.27984 | −0.639920 | − | 0.768441i | \(-0.721033\pi\) | ||||
−0.639920 | + | 0.768441i | \(0.721033\pi\) | |||||||
\(200\) | −6.91328 | + | 4.24820i | −0.488843 | + | 0.300393i | ||||
\(201\) | −6.87308 | − | 12.1227i | −0.484790 | − | 0.855070i | ||||
\(202\) | 3.88773 | − | 0.375958i | 0.273539 | − | 0.0264523i | ||||
\(203\) | −0.00745698 | + | 0.0278298i | −0.000523377 | + | 0.00195327i | ||||
\(204\) | 5.05606 | + | 10.5535i | 0.353995 | + | 0.738893i | ||||
\(205\) | −3.84438 | − | 14.3474i | −0.268503 | − | 1.00207i | ||||
\(206\) | 14.6352 | − | 5.47874i | 1.01968 | − | 0.381722i | ||||
\(207\) | 9.07670 | + | 16.3057i | 0.630874 | + | 1.13332i | ||||
\(208\) | 16.0426 | + | 21.2166i | 1.11235 | + | 1.47110i | ||||
\(209\) | 5.17094 | + | 2.98544i | 0.357681 | + | 0.206507i | ||||
\(210\) | −0.0574824 | − | 0.0100581i | −0.00396666 | − | 0.000694077i | ||||
\(211\) | 0.625467 | − | 2.33428i | 0.0430589 | − | 0.160698i | −0.941049 | − | 0.338271i | \(-0.890158\pi\) |
0.984108 | + | 0.177573i | \(0.0568246\pi\) | |||||||
\(212\) | −1.90728 | + | 0.932185i | −0.130993 | + | 0.0640227i | ||||
\(213\) | −1.24258 | − | 1.26219i | −0.0851402 | − | 0.0864838i | ||||
\(214\) | 3.15072 | − | 2.24934i | 0.215378 | − | 0.153762i | ||||
\(215\) | − | 17.4185i | − | 1.18793i | ||||||
\(216\) | 14.1811 | − | 3.85957i | 0.964902 | − | 0.262611i | ||||
\(217\) | − | 0.0657256i | − | 0.00446175i | ||||||
\(218\) | −6.95376 | − | 9.74034i | −0.470968 | − | 0.659699i | ||||
\(219\) | −8.88145 | − | 9.02160i | −0.600153 | − | 0.609623i | ||||
\(220\) | 16.4870 | + | 5.66177i | 1.11155 | + | 0.381717i | ||||
\(221\) | 5.81402 | − | 21.6982i | 0.391093 | − | 1.45958i | ||||
\(222\) | 0.459562 | − | 2.62640i | 0.0308438 | − | 0.176273i | ||||
\(223\) | −0.0284597 | − | 0.0164312i | −0.00190581 | − | 0.00110032i | 0.499047 | − | 0.866575i | \(-0.333684\pi\) |
−0.500953 | + | 0.865475i | \(0.667017\pi\) | |||||||
\(224\) | 0.0104947 | + | 0.0468825i | 0.000701209 | + | 0.00313247i | ||||
\(225\) | 4.41938 | − | 7.38511i | 0.294626 | − | 0.492340i | ||||
\(226\) | −6.74788 | − | 18.0254i | −0.448863 | − | 1.19903i | ||||
\(227\) | 4.79797 | + | 17.9063i | 0.318453 | + | 1.18848i | 0.920732 | + | 0.390196i | \(0.127593\pi\) |
−0.602279 | + | 0.798285i | \(0.705741\pi\) | |||||||
\(228\) | −6.27879 | − | 2.21129i | −0.415823 | − | 0.146446i | ||||
\(229\) | 7.06225 | − | 26.3567i | 0.466687 | − | 1.74170i | −0.184549 | − | 0.982823i | \(-0.559082\pi\) |
0.651236 | − | 0.758875i | \(-0.274251\pi\) | |||||||
\(230\) | −2.37533 | − | 24.5629i | −0.156624 | − | 1.61963i | ||||
\(231\) | 0.0225427 | + | 0.0397607i | 0.00148320 | + | 0.00261606i | ||||
\(232\) | −2.22847 | + | 9.33293i | −0.146306 | + | 0.612737i | ||||
\(233\) | 7.42838 | 0.486649 | 0.243325 | − | 0.969945i | \(-0.421762\pi\) | ||||
0.243325 | + | 0.969945i | \(0.421762\pi\) | |||||||
\(234\) | −25.4909 | − | 12.0896i | −1.66640 | − | 0.790319i | ||||
\(235\) | −0.378968 | + | 0.378968i | −0.0247211 | + | 0.0247211i | ||||
\(236\) | 10.5097 | − | 15.6089i | 0.684124 | − | 1.01606i | ||||
\(237\) | −8.44172 | + | 2.19127i | −0.548349 | + | 0.142338i | ||||
\(238\) | 0.0257951 | − | 0.0313182i | 0.00167205 | − | 0.00203006i | ||||
\(239\) | −2.67225 | − | 4.62848i | −0.172854 | − | 0.299391i | 0.766563 | − | 0.642169i | \(-0.221965\pi\) |
−0.939416 | + | 0.342778i | \(0.888632\pi\) | |||||||
\(240\) | −19.2283 | − | 2.82374i | −1.24118 | − | 0.182272i | ||||
\(241\) | −10.9314 | + | 18.9337i | −0.704151 | + | 1.21963i | 0.262845 | + | 0.964838i | \(0.415339\pi\) |
−0.966997 | + | 0.254788i | \(0.917994\pi\) | |||||||
\(242\) | 0.667131 | + | 1.78209i | 0.0428848 | + | 0.114557i | ||||
\(243\) | −11.4456 | + | 10.5829i | −0.734236 | + | 0.678894i | ||||
\(244\) | −1.40709 | + | 20.3629i | −0.0900799 | + | 1.30360i | ||||
\(245\) | −5.08211 | − | 18.9667i | −0.324684 | − | 1.21174i | ||||
\(246\) | 5.46610 | − | 11.7623i | 0.348506 | − | 0.749935i | ||||
\(247\) | 6.38925 | + | 11.0665i | 0.406538 | + | 0.704145i | ||||
\(248\) | −0.599966 | − | 21.8808i | −0.0380979 | − | 1.38943i | ||||
\(249\) | 19.3277 | + | 11.3615i | 1.22484 | + | 0.720008i | ||||
\(250\) | 6.88098 | − | 4.91242i | 0.435191 | − | 0.310689i | ||||
\(251\) | −18.4081 | − | 18.4081i | −1.16191 | − | 1.16191i | −0.984057 | − | 0.177854i | \(-0.943085\pi\) |
−0.177854 | − | 0.984057i | \(-0.556915\pi\) | |||||||
\(252\) | −0.0328567 | − | 0.0389495i | −0.00206978 | − | 0.00245359i | ||||
\(253\) | −13.6672 | + | 13.6672i | −0.859251 | + | 0.859251i | ||||
\(254\) | −9.78092 | − | 1.63263i | −0.613710 | − | 0.102440i | ||||
\(255\) | 8.09501 | + | 14.2779i | 0.506929 | + | 0.894120i | ||||
\(256\) | 3.92177 | + | 15.5119i | 0.245111 | + | 0.969495i | ||||
\(257\) | −6.96658 | + | 4.02216i | −0.434563 | + | 0.250895i | −0.701289 | − | 0.712877i | \(-0.747392\pi\) |
0.266726 | + | 0.963773i | \(0.414058\pi\) | |||||||
\(258\) | 9.76158 | − | 11.6644i | 0.607730 | − | 0.726193i | ||||
\(259\) | −0.00892960 | + | 0.00239268i | −0.000554858 | + | 0.000148674i | ||||
\(260\) | 24.4987 | + | 28.1358i | 1.51935 | + | 1.74491i | ||||
\(261\) | −2.47986 | − | 9.87060i | −0.153499 | − | 0.610975i | ||||
\(262\) | −4.87970 | + | 10.7192i | −0.301469 | + | 0.662234i | ||||
\(263\) | −3.65553 | − | 2.11052i | −0.225409 | − | 0.130140i | 0.383043 | − | 0.923730i | \(-0.374876\pi\) |
−0.608452 | + | 0.793590i | \(0.708209\pi\) | |||||||
\(264\) | 7.86766 | + | 13.0310i | 0.484221 | + | 0.802003i | ||||
\(265\) | −2.57860 | + | 1.48876i | −0.158402 | + | 0.0914535i | ||||
\(266\) | 0.00222160 | + | 0.0229732i | 0.000136215 | + | 0.00140858i | ||||
\(267\) | −22.4363 | + | 22.0877i | −1.37308 | + | 1.35174i | ||||
\(268\) | −8.98722 | + | 13.3478i | −0.548982 | + | 0.815344i | ||||
\(269\) | 13.7834 | + | 13.7834i | 0.840386 | + | 0.840386i | 0.988909 | − | 0.148523i | \(-0.0474518\pi\) |
−0.148523 | + | 0.988909i | \(0.547452\pi\) | |||||||
\(270\) | 19.4695 | − | 6.77159i | 1.18488 | − | 0.412106i | ||||
\(271\) | 14.3202i | 0.869889i | 0.900457 | + | 0.434945i | \(0.143232\pi\) | ||||
−0.900457 | + | 0.434945i | \(0.856768\pi\) | |||||||
\(272\) | 8.30159 | − | 10.6616i | 0.503358 | − | 0.646456i | ||||
\(273\) | −0.000765759 | 0.0978152i | −4.63459e−5 | 0.00592004i | ||||||
\(274\) | 5.93513 | + | 4.88845i | 0.358555 | + | 0.295322i | ||||
\(275\) | 8.61014 | + | 2.30708i | 0.519211 | + | 0.139122i | ||||
\(276\) | 12.1748 | − | 17.7798i | 0.732835 | − | 1.07022i | ||||
\(277\) | −6.39501 | + | 1.71354i | −0.384239 | + | 0.102956i | −0.445767 | − | 0.895149i | \(-0.647069\pi\) |
0.0615286 | + | 0.998105i | \(0.480402\pi\) | |||||||
\(278\) | −8.24843 | + | 18.1193i | −0.494708 | + | 1.08672i | ||||
\(279\) | 11.2922 | + | 20.2856i | 0.676046 | + | 1.21447i | ||||
\(280\) | 0.0192176 | + | 0.0645849i | 0.00114847 | + | 0.00385969i | ||||
\(281\) | −1.84037 | + | 3.18761i | −0.109787 | + | 0.190157i | −0.915684 | − | 0.401899i | \(-0.868350\pi\) |
0.805897 | + | 0.592056i | \(0.201684\pi\) | |||||||
\(282\) | −0.466157 | + | 0.0413985i | −0.0277593 | + | 0.00246524i | ||||
\(283\) | 4.19445 | + | 1.12390i | 0.249334 | + | 0.0668089i | 0.381321 | − | 0.924442i | \(-0.375469\pi\) |
−0.131987 | + | 0.991251i | \(0.542136\pi\) | |||||||
\(284\) | −0.664262 | + | 1.93432i | −0.0394167 | + | 0.114781i | ||||
\(285\) | −8.99929 | − | 2.48702i | −0.533072 | − | 0.147318i | ||||
\(286\) | 4.81090 | − | 28.8215i | 0.284474 | − | 1.70425i | ||||
\(287\) | −0.0449706 | −0.00265453 | ||||||||
\(288\) | −11.2939 | − | 12.6668i | −0.665500 | − | 0.746398i | ||||
\(289\) | 5.58832 | 0.328725 | ||||||||
\(290\) | −2.21577 | + | 13.2744i | −0.130114 | + | 0.779500i | ||||
\(291\) | −1.43170 | − | 5.51555i | −0.0839280 | − | 0.323327i | ||||
\(292\) | −4.74787 | + | 13.8257i | −0.277848 | + | 0.809089i | ||||
\(293\) | 14.6770 | + | 3.93269i | 0.857439 | + | 0.229750i | 0.660649 | − | 0.750695i | \(-0.270281\pi\) |
0.196791 | + | 0.980446i | \(0.436948\pi\) | |||||||
\(294\) | 7.22597 | − | 15.5493i | 0.421427 | − | 0.906851i | ||||
\(295\) | 13.1963 | − | 22.8567i | 0.768320 | − | 1.33077i | ||||
\(296\) | −2.95092 | + | 0.878062i | −0.171519 | + | 0.0510363i | ||||
\(297\) | −13.7888 | − | 8.39877i | −0.800108 | − | 0.487346i | ||||
\(298\) | 5.56393 | − | 12.2222i | 0.322310 | − | 0.708015i | ||||
\(299\) | −39.9558 | + | 10.7061i | −2.31071 | + | 0.619152i | ||||
\(300\) | −9.90855 | − | 0.762672i | −0.572070 | − | 0.0440329i | ||||
\(301\) | −0.0509393 | − | 0.0136491i | −0.00293609 | − | 0.000786723i | ||||
\(302\) | 4.95033 | + | 4.07732i | 0.284860 | + | 0.234624i | ||||
\(303\) | 4.12394 | + | 2.42420i | 0.236914 | + | 0.139267i | ||||
\(304\) | 0.949302 | + | 7.62776i | 0.0544462 | + | 0.437482i | ||||
\(305\) | 28.6285i | 1.63926i | ||||||||
\(306\) | −2.58071 | + | 14.0979i | −0.147530 | + | 0.805922i | ||||
\(307\) | 23.4294 | + | 23.4294i | 1.33718 | + | 1.33718i | 0.898776 | + | 0.438408i | \(0.144457\pi\) |
0.438408 | + | 0.898776i | \(0.355543\pi\) | |||||||
\(308\) | 0.0294767 | − | 0.0437787i | 0.00167959 | − | 0.00249452i | ||||
\(309\) | 18.4477 | + | 5.09817i | 1.04945 | + | 0.290025i | ||||
\(310\) | −2.95511 | − | 30.5583i | −0.167839 | − | 1.73560i | ||||
\(311\) | −25.9086 | + | 14.9583i | −1.46914 | + | 0.848210i | −0.999401 | − | 0.0345940i | \(-0.988986\pi\) |
−0.469741 | + | 0.882804i | \(0.655653\pi\) | |||||||
\(312\) | 0.637960 | + | 32.5708i | 0.0361174 | + | 1.84396i | ||||
\(313\) | −13.0513 | − | 7.53519i | −0.737705 | − | 0.425914i | 0.0835293 | − | 0.996505i | \(-0.473381\pi\) |
−0.821234 | + | 0.570591i | \(0.806714\pi\) | |||||||
\(314\) | −11.5913 | + | 25.4626i | −0.654136 | + | 1.43694i | ||||
\(315\) | −0.0497401 | − | 0.0513226i | −0.00280254 | − | 0.00289170i | ||||
\(316\) | 6.61322 | + | 7.59502i | 0.372023 | + | 0.427253i | ||||
\(317\) | 20.1652 | − | 5.40325i | 1.13259 | − | 0.303477i | 0.356623 | − | 0.934248i | \(-0.383928\pi\) |
0.775969 | + | 0.630772i | \(0.217261\pi\) | |||||||
\(318\) | −2.56110 | − | 0.448134i | −0.143619 | − | 0.0251301i | ||||
\(319\) | 9.12868 | − | 5.27045i | 0.511108 | − | 0.295088i | ||||
\(320\) | 6.98730 | + | 21.3256i | 0.390602 | + | 1.19214i | ||||
\(321\) | 4.74114 | + | 0.0371167i | 0.264625 | + | 0.00207165i | ||||
\(322\) | −0.0736940 | − | 0.0123010i | −0.00410680 | − | 0.000685508i | ||||
\(323\) | 4.59023 | − | 4.59023i | 0.255407 | − | 0.255407i | ||||
\(324\) | 16.8328 | + | 6.37637i | 0.935153 | + | 0.354243i | ||||
\(325\) | 13.4894 | + | 13.4894i | 0.748257 | + | 0.748257i | ||||
\(326\) | −10.2838 | + | 7.34171i | −0.569565 | + | 0.406620i | ||||
\(327\) | 0.114745 | − | 14.6571i | 0.00634542 | − | 0.810539i | ||||
\(328\) | −14.9712 | + | 0.410507i | −0.826647 | + | 0.0226664i | ||||
\(329\) | 0.000811309 | 0.00140523i | 4.47289e−5 | 7.74727e-5i | ||||||
\(330\) | 12.2686 | + | 17.4727i | 0.675367 | + | 0.961841i | ||||
\(331\) | 4.94242 | + | 18.4453i | 0.271660 | + | 1.01385i | 0.958047 | + | 0.286612i | \(0.0925289\pi\) |
−0.686387 | + | 0.727236i | \(0.740804\pi\) | |||||||
\(332\) | 1.78463 | − | 25.8265i | 0.0979446 | − | 1.41741i | ||||
\(333\) | 2.34496 | − | 2.27266i | 0.128503 | − | 0.124541i | ||||
\(334\) | −5.89534 | − | 15.7481i | −0.322579 | − | 0.861696i | ||||
\(335\) | −11.2846 | + | 19.5456i | −0.616546 | + | 1.06789i | ||||
\(336\) | −0.0233252 | + | 0.0540195i | −0.00127250 | + | 0.00294700i | ||||
\(337\) | −9.91944 | − | 17.1810i | −0.540346 | − | 0.935907i | −0.998884 | − | 0.0472324i | \(-0.984960\pi\) |
0.458538 | − | 0.888675i | \(-0.348373\pi\) | |||||||
\(338\) | 28.0692 | − | 34.0792i | 1.52677 | − | 1.85367i | ||||
\(339\) | 6.27915 | − | 22.7211i | 0.341036 | − | 1.23404i | ||||
\(340\) | 10.5850 | − | 15.7208i | 0.574053 | − | 0.852579i | ||||
\(341\) | −17.0032 | + | 17.0032i | −0.920774 | + | 0.920774i | ||||
\(342\) | −4.63266 | − | 6.70879i | −0.250506 | − | 0.362770i | ||||
\(343\) | −0.118899 | −0.00641996 | ||||||||
\(344\) | −17.0829 | − | 4.07896i | −0.921046 | − | 0.219923i | ||||
\(345\) | 15.3162 | − | 26.0553i | 0.824599 | − | 1.40277i | ||||
\(346\) | 0.0660189 | + | 0.682691i | 0.00354920 | + | 0.0367017i | ||||
\(347\) | 5.60618 | − | 20.9225i | 0.300955 | − | 1.12318i | −0.635416 | − | 0.772170i | \(-0.719171\pi\) |
0.936372 | − | 0.351011i | \(-0.114162\pi\) | |||||||
\(348\) | −8.92299 | + | 7.64753i | −0.478322 | + | 0.409951i | ||||
\(349\) | −0.426410 | − | 1.59139i | −0.0228252 | − | 0.0851849i | 0.953574 | − | 0.301160i | \(-0.0973737\pi\) |
−0.976399 | + | 0.215975i | \(0.930707\pi\) | |||||||
\(350\) | 0.0120802 | + | 0.0322694i | 0.000645712 | + | 0.00172487i | ||||
\(351\) | −16.5691 | − | 30.3213i | −0.884393 | − | 1.61843i | ||||
\(352\) | 9.41351 | − | 14.8435i | 0.501742 | − | 0.791160i | ||||
\(353\) | −3.91868 | − | 2.26245i | −0.208570 | − | 0.120418i | 0.392076 | − | 0.919933i | \(-0.371757\pi\) |
−0.600647 | + | 0.799514i | \(0.705090\pi\) | |||||||
\(354\) | 21.6463 | − | 7.91070i | 1.15049 | − | 0.420449i | ||||
\(355\) | −0.742431 | + | 2.77079i | −0.0394042 | + | 0.147058i | ||||
\(356\) | 34.3838 | + | 11.8077i | 1.82234 | + | 0.625807i | ||||
\(357\) | 0.0480983 | − | 0.0124852i | 0.00254563 | − | 0.000660784i | ||||
\(358\) | 8.03762 | + | 11.2585i | 0.424801 | + | 0.595032i | ||||
\(359\) | − | 11.0661i | − | 0.584046i | −0.956411 | − | 0.292023i | \(-0.905672\pi\) | ||
0.956411 | − | 0.292023i | \(-0.0943284\pi\) | |||||||
\(360\) | −17.0275 | − | 16.6318i | −0.897430 | − | 0.876574i | ||||
\(361\) | − | 15.3073i | − | 0.805645i | ||||||
\(362\) | −3.57703 | + | 2.55369i | −0.188005 | + | 0.134219i | ||||
\(363\) | −0.620789 | + | 2.24633i | −0.0325830 | + | 0.117902i | ||||
\(364\) | 0.101479 | − | 0.0495978i | 0.00531893 | − | 0.00259963i | ||||
\(365\) | −5.30659 | + | 19.8045i | −0.277760 | + | 1.03661i | ||||
\(366\) | −16.0438 | + | 19.1712i | −0.838624 | + | 1.00209i | ||||
\(367\) | −4.77772 | − | 2.75842i | −0.249395 | − | 0.143988i | 0.370092 | − | 0.928995i | \(-0.379326\pi\) |
−0.619487 | + | 0.785007i | \(0.712659\pi\) | |||||||
\(368\) | −24.6458 | − | 3.42244i | −1.28475 | − | 0.178407i | ||||
\(369\) | 13.8798 | − | 7.72631i | 0.722552 | − | 0.402215i | ||||
\(370\) | −4.04413 | + | 1.51393i | −0.210244 | + | 0.0787056i | ||||
\(371\) | 0.00233318 | + | 0.00870755i | 0.000121133 | + | 0.000452074i | ||||
\(372\) | 15.1465 | − | 22.1196i | 0.785307 | − | 1.14685i | ||||
\(373\) | 2.18851 | − | 8.16763i | 0.113317 | − | 0.422904i | −0.885839 | − | 0.463993i | \(-0.846416\pi\) |
0.999155 | + | 0.0410893i | \(0.0130828\pi\) | |||||||
\(374\) | −14.7752 | + | 1.42882i | −0.764006 | + | 0.0738823i | ||||
\(375\) | 10.3544 | + | 0.0810606i | 0.534697 | + | 0.00418595i | ||||
\(376\) | 0.282921 | + | 0.460410i | 0.0145905 | + | 0.0237438i | ||||
\(377\) | 22.5589 | 1.16184 | ||||||||
\(378\) | −0.00454678 | − | 0.0622436i | −0.000233861 | − | 0.00320147i | ||||
\(379\) | 20.4820 | − | 20.4820i | 1.05209 | − | 1.05209i | 0.0535254 | − | 0.998566i | \(-0.482954\pi\) |
0.998566 | − | 0.0535254i | \(-0.0170458\pi\) | |||||||
\(380\) | 2.06581 | + | 10.5812i | 0.105974 | + | 0.542806i | ||||
\(381\) | −8.52023 | − | 8.65468i | −0.436504 | − | 0.443393i | ||||
\(382\) | −13.8230 | − | 11.3852i | −0.707244 | − | 0.582519i | ||||
\(383\) | 2.14427 | + | 3.71398i | 0.109567 | + | 0.189776i | 0.915595 | − | 0.402102i | \(-0.131720\pi\) |
−0.806028 | + | 0.591878i | \(0.798387\pi\) | |||||||
\(384\) | −7.27212 | + | 18.1966i | −0.371104 | + | 0.928591i | ||||
\(385\) | 0.0370120 | − | 0.0641066i | 0.00188630 | − | 0.00326718i | ||||
\(386\) | 13.2312 | − | 4.95315i | 0.673452 | − | 0.252109i | ||||
\(387\) | 18.0670 | − | 4.53909i | 0.918397 | − | 0.230735i | ||||
\(388\) | −4.96234 | + | 4.32086i | −0.251925 | + | 0.219359i | ||||
\(389\) | −4.19823 | − | 15.6680i | −0.212859 | − | 0.794400i | −0.986909 | − | 0.161276i | \(-0.948439\pi\) |
0.774051 | − | 0.633124i | \(-0.218228\pi\) | |||||||
\(390\) | 4.04187 | + | 45.5124i | 0.204668 | + | 2.30461i | ||||
\(391\) | 10.5069 | + | 18.1985i | 0.531358 | + | 0.920339i | ||||
\(392\) | −19.7913 | + | 0.542674i | −0.999614 | + | 0.0274092i | ||||
\(393\) | −12.5481 | + | 7.11428i | −0.632970 | + | 0.358868i | ||||
\(394\) | 0.318278 | + | 0.445822i | 0.0160346 | + | 0.0224602i | ||||
\(395\) | 9.98779 | + | 9.98779i | 0.502540 | + | 0.502540i | ||||
\(396\) | −1.57621 | + | 18.5762i | −0.0792076 | + | 0.933491i | ||||
\(397\) | −2.22738 | + | 2.22738i | −0.111789 | + | 0.111789i | −0.760789 | − | 0.649000i | \(-0.775188\pi\) |
0.649000 | + | 0.760789i | \(0.275188\pi\) | |||||||
\(398\) | −4.20377 | + | 25.1843i | −0.210716 | + | 1.26238i | ||||
\(399\) | −0.0143250 | + | 0.0243691i | −0.000717147 | + | 0.00121998i | ||||
\(400\) | 4.31619 | + | 10.6326i | 0.215809 | + | 0.531629i | ||||
\(401\) | 7.43343 | − | 4.29169i | 0.371208 | − | 0.214317i | −0.302778 | − | 0.953061i | \(-0.597914\pi\) |
0.673986 | + | 0.738744i | \(0.264581\pi\) | |||||||
\(402\) | −18.5105 | + | 6.76472i | −0.923218 | + | 0.337393i | ||||
\(403\) | −49.7085 | + | 13.3193i | −2.47616 | + | 0.663484i | ||||
\(404\) | 0.380786 | − | 5.51058i | 0.0189448 | − | 0.274162i | ||||
\(405\) | 24.1695 | + | 7.29451i | 1.20099 | + | 0.362467i | ||||
\(406\) | 0.0370839 | + | 0.0168817i | 0.00184045 | + | 0.000837826i | ||||
\(407\) | 2.92907 | + | 1.69110i | 0.145189 | + | 0.0838246i | ||||
\(408\) | 15.8985 | − | 4.59550i | 0.787092 | − | 0.227511i | ||||
\(409\) | −32.0886 | + | 18.5263i | −1.58668 | + | 0.916068i | −0.592828 | + | 0.805329i | \(0.701988\pi\) |
−0.993850 | + | 0.110739i | \(0.964678\pi\) | |||||||
\(410\) | −20.9085 | + | 2.02193i | −1.03260 | + | 0.0998562i | ||||
\(411\) | 2.36607 | + | 9.11514i | 0.116710 | + | 0.449617i | ||||
\(412\) | −4.23472 | − | 21.6906i | −0.208630 | − | 1.06862i | ||||
\(413\) | −0.0565024 | − | 0.0565024i | −0.00278030 | − | 0.00278030i | ||||
\(414\) | 24.8584 | − | 8.86462i | 1.22172 | − | 0.435672i | ||||
\(415\) | − | 36.3099i | − | 1.78238i | ||||||
\(416\) | 33.3306 | − | 17.4380i | 1.63417 | − | 0.854967i | ||||
\(417\) | −21.2108 | + | 12.0257i | −1.03870 | + | 0.588900i | ||||
\(418\) | 5.36844 | − | 6.51789i | 0.262579 | − | 0.318800i | ||||
\(419\) | −19.9702 | − | 5.35101i | −0.975609 | − | 0.261414i | −0.264415 | − | 0.964409i | \(-0.585179\pi\) |
−0.711195 | + | 0.702995i | \(0.751845\pi\) | |||||||
\(420\) | −0.0274144 | + | 0.0778411i | −0.00133769 | + | 0.00379826i | ||||
\(421\) | −9.35966 | + | 2.50791i | −0.456162 | + | 0.122228i | −0.479581 | − | 0.877497i | \(-0.659211\pi\) |
0.0234192 | + | 0.999726i | \(0.492545\pi\) | |||||||
\(422\) | −3.11048 | − | 1.41598i | −0.151416 | − | 0.0689290i | ||||
\(423\) | −0.491833 | − | 0.294322i | −0.0239137 | − | 0.0143104i | ||||
\(424\) | 0.856228 | + | 2.87754i | 0.0415821 | + | 0.139746i | ||||
\(425\) | 4.84559 | − | 8.39281i | 0.235046 | − | 0.407111i | ||||
\(426\) | −2.04997 | + | 1.43941i | −0.0993212 | + | 0.0697394i | ||||
\(427\) | 0.0837222 | + | 0.0224333i | 0.00405160 | + | 0.00108562i | ||||
\(428\) | −2.40402 | − | 4.91871i | −0.116203 | − | 0.237755i | ||||
\(429\) | 25.5028 | − | 25.1066i | 1.23129 | − | 1.21216i | ||||
\(430\) | −24.2973 | − | 4.05571i | −1.17172 | − | 0.195584i | ||||
\(431\) | −25.3669 | −1.22188 | −0.610941 | − | 0.791676i | \(-0.709209\pi\) | ||||
−0.610941 | + | 0.791676i | \(0.709209\pi\) | |||||||
\(432\) | −2.08185 | − | 20.6801i | −0.100163 | − | 0.994971i | ||||
\(433\) | −10.5243 | −0.505764 | −0.252882 | − | 0.967497i | \(-0.581378\pi\) | ||||
−0.252882 | + | 0.967497i | \(0.581378\pi\) | |||||||
\(434\) | −0.0916816 | − | 0.0153035i | −0.00440086 | − | 0.000734592i | ||||
\(435\) | −11.7459 | + | 11.5634i | −0.563174 | + | 0.554424i | ||||
\(436\) | −15.2061 | + | 7.43197i | −0.728238 | + | 0.355927i | ||||
\(437\) | −11.5465 | − | 3.09387i | −0.552343 | − | 0.148000i | ||||
\(438\) | −14.6523 | + | 10.2883i | −0.700115 | + | 0.491593i | ||||
\(439\) | 1.65348 | − | 2.86391i | 0.0789163 | − | 0.136687i | −0.823866 | − | 0.566784i | \(-0.808187\pi\) |
0.902783 | + | 0.430097i | \(0.141521\pi\) | |||||||
\(440\) | 11.7365 | − | 21.6797i | 0.559516 | − | 1.03354i | ||||
\(441\) | 18.3485 | − | 10.2139i | 0.873738 | − | 0.486375i | ||||
\(442\) | −28.9134 | − | 13.1623i | −1.37527 | − | 0.626065i | ||||
\(443\) | −5.42439 | + | 1.45346i | −0.257721 | + | 0.0690560i | −0.385366 | − | 0.922764i | \(-0.625925\pi\) |
0.127645 | + | 0.991820i | \(0.459258\pi\) | |||||||
\(444\) | −3.55661 | − | 1.25258i | −0.168789 | − | 0.0594448i | ||||
\(445\) | 49.2527 | + | 13.1972i | 2.33480 | + | 0.625608i | ||||
\(446\) | −0.0295467 | + | 0.0358731i | −0.00139908 | + | 0.00169864i | ||||
\(447\) | 14.3076 | − | 8.11184i | 0.676728 | − | 0.383677i | ||||
\(448\) | 0.0678407 | − | 0.00372315i | 0.00320517 | − | 0.000175902i | ||||
\(449\) | 3.76456i | 0.177661i | 0.996047 | + | 0.0888303i | \(0.0283129\pi\) | ||||
−0.996047 | + | 0.0888303i | \(0.971687\pi\) | |||||||
\(450\) | −9.27258 | − | 7.88420i | −0.437114 | − | 0.371665i | ||||
\(451\) | 11.6339 | + | 11.6339i | 0.547818 | + | 0.547818i | ||||
\(452\) | −26.7151 | + | 5.21569i | −1.25657 | + | 0.245325i | ||||
\(453\) | 1.97348 | + | 7.60269i | 0.0927220 | + | 0.357206i | ||||
\(454\) | 26.0949 | − | 2.52348i | 1.22469 | − | 0.118433i | ||||
\(455\) | 0.137197 | − | 0.0792106i | 0.00643189 | − | 0.00371345i | ||||
\(456\) | −4.54650 | + | 8.24349i | −0.212910 | + | 0.386037i | ||||
\(457\) | 18.4633 | + | 10.6598i | 0.863675 | + | 0.498643i | 0.865241 | − | 0.501356i | \(-0.167165\pi\) |
−0.00156649 | + | 0.999999i | \(0.500499\pi\) | |||||||
\(458\) | −35.1209 | − | 15.9881i | −1.64109 | − | 0.747075i | ||||
\(459\) | −12.7000 | + | 12.1171i | −0.592787 | + | 0.565578i | ||||
\(460\) | −34.8162 | − | 2.40583i | −1.62331 | − | 0.112172i | ||||
\(461\) | −37.4962 | + | 10.0471i | −1.74637 | + | 0.467938i | −0.983845 | − | 0.179021i | \(-0.942707\pi\) |
−0.762525 | + | 0.646959i | \(0.776040\pi\) | |||||||
\(462\) | 0.0607116 | − | 0.0221873i | 0.00282456 | − | 0.00103225i | ||||
\(463\) | 7.29597 | − | 4.21233i | 0.339073 | − | 0.195764i | −0.320789 | − | 0.947151i | \(-0.603948\pi\) |
0.659862 | + | 0.751387i | \(0.270615\pi\) | |||||||
\(464\) | 12.4998 | + | 5.28160i | 0.580287 | + | 0.245192i | ||||
\(465\) | 19.0547 | − | 32.4150i | 0.883641 | − | 1.50321i | ||||
\(466\) | 1.72962 | − | 10.3620i | 0.0801231 | − | 0.480008i | ||||
\(467\) | 19.4539 | − | 19.4539i | 0.900219 | − | 0.900219i | −0.0952358 | − | 0.995455i | \(-0.530361\pi\) |
0.995455 | + | 0.0952358i | \(0.0303605\pi\) | |||||||
\(468\) | −22.7992 | + | 32.7428i | −1.05389 | + | 1.51353i | ||||
\(469\) | 0.0483172 | + | 0.0483172i | 0.00223108 | + | 0.00223108i | ||||
\(470\) | 0.440389 | + | 0.616866i | 0.0203136 | + | 0.0284539i | ||||
\(471\) | −29.8071 | + | 16.8994i | −1.37344 | + | 0.778683i | ||||
\(472\) | −19.3261 | − | 18.2945i | −0.889554 | − | 0.842074i | ||||
\(473\) | 9.64695 | + | 16.7090i | 0.443567 | + | 0.768281i | ||||
\(474\) | 1.09107 | + | 12.2857i | 0.0501144 | + | 0.564300i | ||||
\(475\) | 1.42683 | + | 5.32501i | 0.0654676 | + | 0.244328i | ||||
\(476\) | −0.0376800 | − | 0.0432740i | −0.00172706 | − | 0.00198346i | ||||
\(477\) | −2.21614 | − | 2.28665i | −0.101470 | − | 0.104698i | ||||
\(478\) | −7.07854 | + | 2.64987i | −0.323765 | + | 0.121202i | ||||
\(479\) | 10.4276 | − | 18.0611i | 0.476450 | − | 0.825235i | −0.523186 | − | 0.852218i | \(-0.675257\pi\) |
0.999636 | + | 0.0269835i | \(0.00859016\pi\) | |||||||
\(480\) | −8.41600 | + | 26.1644i | −0.384136 | + | 1.19424i | ||||
\(481\) | 3.61918 | + | 6.26860i | 0.165020 | + | 0.285824i | ||||
\(482\) | 23.8656 | + | 19.6568i | 1.08705 | + | 0.895344i | ||||
\(483\) | −0.0641953 | − | 0.0652084i | −0.00292099 | − | 0.00296708i | ||||
\(484\) | 2.64120 | − | 0.515650i | 0.120054 | − | 0.0234386i | ||||
\(485\) | −6.52570 | + | 6.52570i | −0.296317 | + | 0.296317i | ||||
\(486\) | 12.0973 | + | 18.4298i | 0.548743 | + | 0.835991i | ||||
\(487\) | 34.0126 | 1.54126 | 0.770629 | − | 0.637284i | \(-0.219942\pi\) | ||||
0.770629 | + | 0.637284i | \(0.219942\pi\) | |||||||
\(488\) | 28.0768 | + | 6.70405i | 1.27098 | + | 0.303478i | ||||
\(489\) | −15.4748 | − | 0.121147i | −0.699795 | − | 0.00547844i | ||||
\(490\) | −27.6402 | + | 2.67292i | −1.24866 | + | 0.120750i | ||||
\(491\) | 0.378725 | − | 1.41342i | 0.0170916 | − | 0.0637868i | −0.956853 | − | 0.290571i | \(-0.906155\pi\) |
0.973945 | + | 0.226785i | \(0.0728213\pi\) | |||||||
\(492\) | −15.1346 | − | 10.3635i | −0.682322 | − | 0.467221i | ||||
\(493\) | −2.96609 | − | 11.0696i | −0.133586 | − | 0.498550i | ||||
\(494\) | 16.9245 | − | 6.33574i | 0.761469 | − | 0.285059i | ||||
\(495\) | −0.409383 | + | 26.1449i | −0.0184004 | + | 1.17513i | ||||
\(496\) | −30.6615 | − | 4.25781i | −1.37674 | − | 0.191181i | ||||
\(497\) | 0.00752124 | + | 0.00434239i | 0.000337374 | + | 0.000194783i | ||||
\(498\) | 20.3486 | − | 24.3151i | 0.911843 | − | 1.08959i | ||||
\(499\) | 9.43390 | − | 35.2078i | 0.422319 | − | 1.57612i | −0.347389 | − | 0.937721i | \(-0.612932\pi\) |
0.769708 | − | 0.638396i | \(-0.220402\pi\) | |||||||
\(500\) | −5.25024 | − | 10.7422i | −0.234798 | − | 0.480405i | ||||
\(501\) | 5.48583 | − | 19.8505i | 0.245089 | − | 0.886854i | ||||
\(502\) | −29.9639 | + | 21.3916i | −1.33735 | + | 0.954755i | ||||
\(503\) | − | 10.8529i | − | 0.483908i | −0.970288 | − | 0.241954i | \(-0.922212\pi\) | ||
0.970288 | − | 0.241954i | \(-0.0777882\pi\) | |||||||
\(504\) | −0.0619816 | + | 0.0367633i | −0.00276088 | + | 0.00163757i | ||||
\(505\) | − | 7.74741i | − | 0.344755i | ||||||
\(506\) | 15.8823 | + | 22.2469i | 0.706056 | + | 0.988994i | ||||
\(507\) | 52.3387 | − | 13.5859i | 2.32444 | − | 0.603370i | ||||
\(508\) | −4.55477 | + | 13.2634i | −0.202085 | + | 0.588468i | ||||
\(509\) | 1.05732 | − | 3.94598i | 0.0468650 | − | 0.174903i | −0.938526 | − | 0.345207i | \(-0.887809\pi\) |
0.985391 | + | 0.170305i | \(0.0544752\pi\) | |||||||
\(510\) | 21.8014 | − | 7.96738i | 0.965380 | − | 0.352802i | ||||
\(511\) | 0.0537587 | + | 0.0310376i | 0.00237814 | + | 0.00137302i | ||||
\(512\) | 22.5509 | − | 1.85875i | 0.996620 | − | 0.0821460i | ||||
\(513\) | 0.234485 | − | 9.98244i | 0.0103528 | − | 0.440736i | ||||
\(514\) | 3.98847 | + | 10.6543i | 0.175924 | + | 0.469941i | ||||
\(515\) | −8.02259 | − | 29.9407i | −0.353517 | − | 1.31934i | ||||
\(516\) | −13.9979 | − | 16.3325i | −0.616225 | − | 0.718998i | ||||
\(517\) | 0.153647 | − | 0.573417i | 0.00675737 | − | 0.0252189i | ||||
\(518\) | 0.00125842 | + | 0.0130131i | 5.52918e−5 | + | 0.000571764i | ||||
\(519\) | −0.425694 | + | 0.724171i | −0.0186859 | + | 0.0317876i | ||||
\(520\) | 44.9513 | − | 27.6225i | 1.97124 | − | 1.21133i | ||||
\(521\) | −13.4286 | −0.588318 | −0.294159 | − | 0.955757i | \(-0.595039\pi\) | ||||
−0.294159 | + | 0.955757i | \(0.595039\pi\) | |||||||
\(522\) | −14.3460 | + | 1.16093i | −0.627909 | + | 0.0508124i | ||||
\(523\) | 23.5806 | − | 23.5806i | 1.03111 | − | 1.03111i | 0.0316083 | − | 0.999500i | \(-0.489937\pi\) |
0.999500 | − | 0.0316083i | \(-0.0100629\pi\) | |||||||
\(524\) | 13.8162 | + | 9.30261i | 0.603562 | + | 0.406386i | ||||
\(525\) | −0.0112410 | + | 0.0406757i | −0.000490599 | + | 0.00177523i | ||||
\(526\) | −3.79514 | + | 4.60773i | −0.165476 | + | 0.200907i | ||||
\(527\) | 13.0715 | + | 22.6405i | 0.569404 | + | 0.986237i | ||||
\(528\) | 20.0090 | − | 7.94059i | 0.870782 | − | 0.345570i | ||||
\(529\) | 7.84782 | − | 13.5928i | 0.341210 | − | 0.590992i | ||||
\(530\) | 1.47629 | + | 3.94357i | 0.0641258 | + | 0.171298i | ||||
\(531\) | 27.1465 | + | 7.73140i | 1.17806 | + | 0.335514i | ||||
\(532\) | 0.0325629 | + | 0.00225013i | 0.00141178 | + | 9.75554e-5i | ||||
\(533\) | 9.11332 | + | 34.0114i | 0.394742 | + | 1.47320i | ||||
\(534\) | 25.5864 | + | 36.4395i | 1.10723 | + | 1.57689i | ||||
\(535\) | −3.83937 | − | 6.64999i | −0.165991 | − | 0.287504i | ||||
\(536\) | 16.5264 | + | 15.6443i | 0.713831 | + | 0.675730i | ||||
\(537\) | −0.132630 | + | 16.9416i | −0.00572340 | + | 0.731086i | ||||
\(538\) | 22.4359 | − | 16.0173i | 0.967281 | − | 0.690555i | ||||
\(539\) | 15.3795 | + | 15.3795i | 0.662443 | + | 0.662443i | ||||
\(540\) | −4.91252 | − | 28.7350i | −0.211401 | − | 1.23656i | ||||
\(541\) | −31.9545 | + | 31.9545i | −1.37383 | + | 1.37383i | −0.519148 | + | 0.854684i | \(0.673751\pi\) |
−0.854684 | + | 0.519148i | \(0.826249\pi\) | |||||||
\(542\) | 19.9754 | + | 3.33430i | 0.858018 | + | 0.143221i | ||||
\(543\) | −5.38266 | − | 0.0421388i | −0.230992 | − | 0.00180835i | ||||
\(544\) | −12.9391 | − | 14.0625i | −0.554761 | − | 0.602923i | ||||
\(545\) | −20.5582 | + | 11.8693i | −0.880618 | + | 0.508425i | ||||
\(546\) | 0.136265 | + | 0.0238434i | 0.00583162 | + | 0.00102040i | ||||
\(547\) | −10.3053 | + | 2.76131i | −0.440625 | + | 0.118065i | −0.472309 | − | 0.881433i | \(-0.656579\pi\) |
0.0316846 | + | 0.999498i | \(0.489913\pi\) | |||||||
\(548\) | 8.20090 | − | 7.14078i | 0.350325 | − | 0.305039i | ||||
\(549\) | −29.6943 | + | 7.46031i | −1.26732 | + | 0.318398i | ||||
\(550\) | 5.22296 | − | 11.4732i | 0.222708 | − | 0.489220i | ||||
\(551\) | 5.64571 | + | 3.25955i | 0.240515 | + | 0.138862i | ||||
\(552\) | −21.9666 | − | 21.1226i | −0.934960 | − | 0.899038i | ||||
\(553\) | 0.0370351 | − | 0.0213822i | 0.00157489 | − | 0.000909265i | ||||
\(554\) | 0.901228 | + | 9.31947i | 0.0382895 | + | 0.395946i | ||||
\(555\) | −5.09763 | − | 1.40877i | −0.216382 | − | 0.0597989i | ||||
\(556\) | 23.3543 | + | 15.7247i | 0.990441 | + | 0.666877i | ||||
\(557\) | −11.6850 | − | 11.6850i | −0.495109 | − | 0.495109i | 0.414802 | − | 0.909912i | \(-0.363851\pi\) |
−0.909912 | + | 0.414802i | \(0.863851\pi\) | |||||||
\(558\) | 30.9260 | − | 11.0283i | 1.30920 | − | 0.466867i | ||||
\(559\) | 41.2915i | 1.74645i | ||||||||
\(560\) | 0.0945650 | − | 0.0117690i | 0.00399610 | − | 0.000497329i | ||||
\(561\) | −15.6729 | − | 9.21309i | −0.661711 | − | 0.388977i | ||||
\(562\) | 4.01793 | + | 3.30936i | 0.169486 | + | 0.139597i | ||||
\(563\) | 8.64631 | + | 2.31677i | 0.364398 | + | 0.0976403i | 0.436372 | − | 0.899766i | \(-0.356263\pi\) |
−0.0719737 | + | 0.997407i | \(0.522930\pi\) | |||||||
\(564\) | −0.0507924 | + | 0.659889i | −0.00213875 | + | 0.0277863i | ||||
\(565\) | −36.8764 | + | 9.88100i | −1.55140 | + | 0.415697i | ||||
\(566\) | 2.54438 | − | 5.58921i | 0.106948 | − | 0.234932i | ||||
\(567\) | 0.0402716 | − | 0.0649662i | 0.00169125 | − | 0.00272832i | ||||
\(568\) | 2.54354 | + | 1.37697i | 0.106725 | + | 0.0577765i | ||||
\(569\) | −6.28570 | + | 10.8872i | −0.263510 | + | 0.456413i | −0.967172 | − | 0.254122i | \(-0.918214\pi\) |
0.703662 | + | 0.710535i | \(0.251547\pi\) | |||||||
\(570\) | −5.56457 | + | 11.9742i | −0.233074 | + | 0.501543i | ||||
\(571\) | 13.9023 | + | 3.72510i | 0.581791 | + | 0.155890i | 0.537699 | − | 0.843137i | \(-0.319294\pi\) |
0.0440924 | + | 0.999027i | \(0.485960\pi\) | |||||||
\(572\) | −39.0834 | − | 13.4216i | −1.63416 | − | 0.561184i | ||||
\(573\) | −5.51059 | − | 21.2292i | −0.230208 | − | 0.886863i | ||||
\(574\) | −0.0104709 | + | 0.0627301i | −0.000437048 | + | 0.00261830i | ||||
\(575\) | −17.8457 | −0.744216 | ||||||||
\(576\) | −20.2988 | + | 12.8047i | −0.845782 | + | 0.533529i | ||||
\(577\) | 17.0561 | 0.710056 | 0.355028 | − | 0.934856i | \(-0.384471\pi\) | ||||
0.355028 | + | 0.934856i | \(0.384471\pi\) | |||||||
\(578\) | 1.30118 | − | 7.79523i | 0.0541220 | − | 0.324239i | ||||
\(579\) | 16.6780 | + | 4.60908i | 0.693113 | + | 0.191547i | ||||
\(580\) | 18.0008 | + | 6.18161i | 0.747441 | + | 0.256677i | ||||
\(581\) | −0.106186 | − | 0.0284525i | −0.00440534 | − | 0.00118041i | ||||
\(582\) | −8.02707 | + | 0.712868i | −0.332733 | + | 0.0295493i | ||||
\(583\) | 1.64905 | − | 2.85623i | 0.0682965 | − | 0.118293i | ||||
\(584\) | 18.1802 | + | 9.84204i | 0.752302 | + | 0.407266i | ||||
\(585\) | −28.7356 | + | 48.0192i | −1.18807 | + | 1.98535i | ||||
\(586\) | 8.90315 | − | 19.5575i | 0.367786 | − | 0.807912i | ||||
\(587\) | 17.2954 | − | 4.63428i | 0.713856 | − | 0.191277i | 0.116427 | − | 0.993199i | \(-0.462856\pi\) |
0.597428 | + | 0.801922i | \(0.296189\pi\) | |||||||
\(588\) | −20.0074 | − | 13.7001i | −0.825091 | − | 0.564982i | ||||
\(589\) | −14.3648 | − | 3.84904i | −0.591891 | − | 0.158597i | ||||
\(590\) | −28.8105 | − | 23.7297i | −1.18611 | − | 0.976936i | ||||
\(591\) | −0.00525195 | + | 0.670864i | −0.000216037 | + | 0.0275957i | ||||
\(592\) | 0.537730 | + | 4.32073i | 0.0221006 | + | 0.177581i | ||||
\(593\) | − | 25.5455i | − | 1.04903i | −0.851402 | − | 0.524514i | \(-0.824247\pi\) | ||
0.851402 | − | 0.524514i | \(-0.175753\pi\) | |||||||
\(594\) | −14.9261 | + | 17.2786i | −0.612427 | + | 0.708951i | ||||
\(595\) | −0.0569073 | − | 0.0569073i | −0.00233297 | − | 0.00233297i | ||||
\(596\) | −15.7535 | − | 10.6070i | −0.645287 | − | 0.434480i | ||||
\(597\) | −22.2844 | + | 21.9382i | −0.912041 | + | 0.897872i | ||||
\(598\) | 5.63085 | + | 58.2278i | 0.230263 | + | 2.38111i | ||||
\(599\) | 1.66118 | − | 0.959083i | 0.0678740 | − | 0.0391871i | −0.465679 | − | 0.884954i | \(-0.654190\pi\) |
0.533553 | + | 0.845767i | \(0.320857\pi\) | |||||||
\(600\) | −3.37096 | + | 13.6440i | −0.137619 | + | 0.557014i | ||||
\(601\) | −7.76786 | − | 4.48478i | −0.316858 | − | 0.182938i | 0.333133 | − | 0.942880i | \(-0.391894\pi\) |
−0.649991 | + | 0.759942i | \(0.725227\pi\) | |||||||
\(602\) | −0.0309000 | + | 0.0678779i | −0.00125939 | + | 0.00276650i | ||||
\(603\) | −23.2140 | − | 6.61139i | −0.945345 | − | 0.269237i | ||||
\(604\) | 6.84015 | − | 5.95593i | 0.278322 | − | 0.242343i | ||||
\(605\) | 3.64579 | − | 0.976888i | 0.148223 | − | 0.0397161i | ||||
\(606\) | 4.34177 | − | 5.18810i | 0.176372 | − | 0.210752i | ||||
\(607\) | −20.1239 | + | 11.6185i | −0.816802 | + | 0.471581i | −0.849312 | − | 0.527890i | \(-0.822983\pi\) |
0.0325103 | + | 0.999471i | \(0.489650\pi\) | |||||||
\(608\) | 10.8611 | + | 0.451847i | 0.440476 | + | 0.0183248i | ||||
\(609\) | 0.0246125 | + | 0.0434113i | 0.000997347 | + | 0.00175912i | ||||
\(610\) | 39.9342 | + | 6.66583i | 1.61689 | + | 0.269892i | ||||
\(611\) | 0.898366 | − | 0.898366i | 0.0363440 | − | 0.0363440i | ||||
\(612\) | 19.0644 | + | 6.88241i | 0.770634 | + | 0.278205i | ||||
\(613\) | 18.6158 | + | 18.6158i | 0.751886 | + | 0.751886i | 0.974831 | − | 0.222945i | \(-0.0715670\pi\) |
−0.222945 | + | 0.974831i | \(0.571567\pi\) | |||||||
\(614\) | 38.1372 | − | 27.2267i | 1.53909 | − | 1.09878i | ||||
\(615\) | −22.1789 | − | 13.0376i | −0.894340 | − | 0.525725i | ||||
\(616\) | −0.0542041 | − | 0.0513109i | −0.00218395 | − | 0.00206738i | ||||
\(617\) | −18.3062 | − | 31.7073i | −0.736981 | − | 1.27649i | −0.953849 | − | 0.300288i | \(-0.902917\pi\) |
0.216868 | − | 0.976201i | \(-0.430416\pi\) | |||||||
\(618\) | 11.4069 | − | 24.5459i | 0.458851 | − | 0.987382i | ||||
\(619\) | 6.87138 | + | 25.6443i | 0.276184 | + | 1.03073i | 0.955044 | + | 0.296465i | \(0.0958077\pi\) |
−0.678860 | + | 0.734268i | \(0.737526\pi\) | |||||||
\(620\) | −43.3143 | − | 2.99306i | −1.73954 | − | 0.120204i | ||||
\(621\) | 31.0166 | + | 9.09671i | 1.24465 | + | 0.365039i | ||||
\(622\) | 14.8331 | + | 39.6232i | 0.594752 | + | 1.58875i | ||||
\(623\) | 0.0771889 | − | 0.133695i | 0.00309251 | − | 0.00535638i | ||||
\(624\) | 45.5820 | + | 6.69385i | 1.82474 | + | 0.267969i | ||||
\(625\) | −15.5570 | − | 26.9455i | −0.622280 | − | 1.07782i | ||||
\(626\) | −13.5498 | + | 16.4510i | −0.541559 | + | 0.657514i | ||||
\(627\) | 10.0101 | − | 2.59839i | 0.399766 | − | 0.103770i | ||||
\(628\) | 32.8192 | + | 22.0976i | 1.30963 | + | 0.881790i | ||||
\(629\) | 2.60013 | − | 2.60013i | 0.103674 | − | 0.103674i | ||||
\(630\) | −0.0831721 | + | 0.0574333i | −0.00331366 | + | 0.00228820i | ||||
\(631\) | −28.2467 | −1.12449 | −0.562243 | − | 0.826972i | \(-0.690061\pi\) | ||||
−0.562243 | + | 0.826972i | \(0.690061\pi\) | |||||||
\(632\) | 12.1342 | − | 7.45646i | 0.482674 | − | 0.296602i | ||||
\(633\) | −2.06441 | − | 3.64120i | −0.0820530 | − | 0.144725i | ||||
\(634\) | −2.84182 | − | 29.3868i | −0.112863 | − | 1.16710i | ||||
\(635\) | −5.09076 | + | 18.9990i | −0.202021 | + | 0.753952i | ||||
\(636\) | −1.22143 | + | 3.46817i | −0.0484329 | + | 0.137522i | ||||
\(637\) | 12.0475 | + | 44.9617i | 0.477338 | + | 1.78145i | ||||
\(638\) | −5.22631 | − | 13.9609i | −0.206911 | − | 0.552717i | ||||
\(639\) | −3.06742 | − | 0.0480304i | −0.121345 | − | 0.00190005i | ||||
\(640\) | 31.3743 | − | 4.78124i | 1.24018 | − | 0.188995i | ||||
\(641\) | 14.4080 | + | 8.31845i | 0.569081 | + | 0.328559i | 0.756782 | − | 0.653667i | \(-0.226770\pi\) |
−0.187701 | + | 0.982226i | \(0.560104\pi\) | |||||||
\(642\) | 1.15570 | − | 6.60484i | 0.0456118 | − | 0.260672i | ||||
\(643\) | −1.52303 | + | 5.68404i | −0.0600626 | + | 0.224157i | −0.989433 | − | 0.144993i | \(-0.953684\pi\) |
0.929370 | + | 0.369149i | \(0.120351\pi\) | |||||||
\(644\) | −0.0343177 | + | 0.0999326i | −0.00135231 | + | 0.00393790i | ||||
\(645\) | −21.1655 | − | 21.4995i | −0.833392 | − | 0.846544i | ||||
\(646\) | −5.33419 | − | 7.47176i | −0.209871 | − | 0.293973i | ||||
\(647\) | 37.4518i | 1.47238i | 0.676773 | + | 0.736192i | \(0.263378\pi\) | ||||
−0.676773 | + | 0.736192i | \(0.736622\pi\) | |||||||
\(648\) | 12.8138 | − | 21.9956i | 0.503375 | − | 0.864068i | ||||
\(649\) | 29.2343i | 1.14755i | ||||||||
\(650\) | 21.9574 | − | 15.6757i | 0.861241 | − | 0.614851i | ||||
\(651\) | −0.0798645 | − | 0.0811248i | −0.00313014 | − | 0.00317953i | ||||
\(652\) | 7.84660 | + | 16.0544i | 0.307296 | + | 0.628739i | ||||
\(653\) | −5.70340 | + | 21.2854i | −0.223191 | + | 0.832962i | 0.759930 | + | 0.650005i | \(0.225233\pi\) |
−0.983121 | + | 0.182956i | \(0.941433\pi\) | |||||||
\(654\) | −20.4187 | − | 3.57281i | −0.798433 | − | 0.139708i | ||||
\(655\) | 20.2315 | + | 11.6807i | 0.790510 | + | 0.456401i | ||||
\(656\) | −2.91326 | + | 20.9791i | −0.113744 | + | 0.819098i | ||||
\(657\) | −21.9247 | − | 0.343301i | −0.855362 | − | 0.0133935i | ||||
\(658\) | 0.00214908 | 0.000804514i | 8.37797e−5 | 3.13632e-5i | ||||||
\(659\) | −6.39350 | − | 23.8609i | −0.249055 | − | 0.929487i | −0.971302 | − | 0.237851i | \(-0.923557\pi\) |
0.722246 | − | 0.691636i | \(-0.243110\pi\) | |||||||
\(660\) | 27.2296 | − | 13.0454i | 1.05991 | − | 0.507790i | ||||
\(661\) | −0.958674 | + | 3.57782i | −0.0372881 | + | 0.139161i | −0.982060 | − | 0.188566i | \(-0.939616\pi\) |
0.944772 | + | 0.327727i | \(0.106283\pi\) | |||||||
\(662\) | 26.8805 | − | 2.59944i | 1.04474 | − | 0.101030i | ||||
\(663\) | −19.1897 | − | 33.8467i | −0.745267 | − | 1.31450i | ||||
\(664\) | −35.6102 | − | 8.50284i | −1.38195 | − | 0.329974i | ||||
\(665\) | 0.0457807 | 0.00177530 | ||||||||
\(666\) | −2.62416 | − | 3.80018i | −0.101684 | − | 0.147254i | ||||
\(667\) | −14.9221 | + | 14.9221i | −0.577785 | + | 0.577785i | ||||
\(668\) | −23.3399 | + | 4.55673i | −0.903047 | + | 0.176305i | ||||
\(669\) | −0.0550936 | + | 0.0143010i | −0.00213004 | + | 0.000552908i | ||||
\(670\) | 24.6369 | + | 20.2921i | 0.951807 | + | 0.783952i | ||||
\(671\) | −15.8554 | − | 27.4624i | −0.612091 | − | 1.06017i | ||||
\(672\) | 0.0699215 | + | 0.0451145i | 0.00269728 | + | 0.00174033i | ||||
\(673\) | 17.3782 | − | 30.0999i | 0.669880 | − | 1.16027i | −0.308058 | − | 0.951368i | \(-0.599679\pi\) |
0.977937 | − | 0.208898i | \(-0.0669877\pi\) | |||||||
\(674\) | −26.2756 | + | 9.83636i | −1.01210 | + | 0.378883i | ||||
\(675\) | −3.51896 | − | 14.4855i | −0.135445 | − | 0.557546i | ||||
\(676\) | −41.0020 | − | 47.0892i | −1.57700 | − | 1.81112i | ||||
\(677\) | −6.56283 | − | 24.4928i | −0.252230 | − | 0.941335i | −0.969611 | − | 0.244654i | \(-0.921326\pi\) |
0.717381 | − | 0.696681i | \(-0.245341\pi\) | |||||||
\(678\) | −30.2320 | − | 14.0492i | −1.16105 | − | 0.539558i | ||||
\(679\) | 0.0139705 | + | 0.0241976i | 0.000536137 | + | 0.000928617i | ||||
\(680\) | −19.4645 | − | 18.4256i | −0.746431 | − | 0.706589i | ||||
\(681\) | 27.6804 | + | 16.2715i | 1.06071 | + | 0.623526i | ||||
\(682\) | 19.7590 | + | 27.6770i | 0.756611 | + | 1.05981i | ||||
\(683\) | 1.88928 | + | 1.88928i | 0.0722912 | + | 0.0722912i | 0.742328 | − | 0.670037i | \(-0.233722\pi\) |
−0.670037 | + | 0.742328i | \(0.733722\pi\) | |||||||
\(684\) | −10.4369 | + | 4.90009i | −0.399063 | + | 0.187360i | ||||
\(685\) | 10.7845 | − | 10.7845i | 0.412056 | − | 0.412056i | ||||
\(686\) | −0.0276844 | + | 0.165854i | −0.00105700 | + | 0.00633235i | ||||
\(687\) | −23.3096 | − | 41.1134i | −0.889317 | − | 1.56857i | ||||
\(688\) | −9.66736 | + | 22.8794i | −0.368565 | + | 0.872268i | ||||
\(689\) | 6.11273 | − | 3.52918i | 0.232876 | − | 0.134451i | ||||
\(690\) | −32.7787 | − | 27.4315i | −1.24786 | − | 1.04430i | ||||
\(691\) | 19.4017 | − | 5.19868i | 0.738077 | − | 0.197767i | 0.129854 | − | 0.991533i | \(-0.458549\pi\) |
0.608223 | + | 0.793766i | \(0.291883\pi\) | |||||||
\(692\) | 0.967668 | + | 0.0668667i | 0.0367852 | + | 0.00254189i | ||||
\(693\) | 0.0761384 | + | 0.0216844i | 0.00289226 | + | 0.000823722i | ||||
\(694\) | −27.8798 | − | 12.6917i | −1.05830 | − | 0.481771i | ||||
\(695\) | 34.1985 | + | 19.7445i | 1.29722 | + | 0.748951i | ||||
\(696\) | 8.59003 | + | 14.2274i | 0.325604 | + | 0.539290i | ||||
\(697\) | 15.4910 | − | 8.94375i | 0.586765 | − | 0.338769i | ||||
\(698\) | −2.31913 | + | 0.224269i | −0.0877804 | + | 0.00848871i | ||||
\(699\) | 9.16881 | − | 9.02637i | 0.346796 | − | 0.341409i | ||||
\(700\) | 0.0478258 | − | 0.00933720i | 0.00180765 | − | 0.000352913i | ||||
\(701\) | 10.9010 | + | 10.9010i | 0.411725 | + | 0.411725i | 0.882339 | − | 0.470614i | \(-0.155968\pi\) |
−0.470614 | + | 0.882339i | \(0.655968\pi\) | |||||||
\(702\) | −46.1536 | + | 16.0525i | −1.74196 | + | 0.605861i | ||||
\(703\) | 2.09175i | 0.0788918i | ||||||||
\(704\) | −18.5135 | − | 16.5872i | −0.697755 | − | 0.625153i | ||||
\(705\) | −0.00726692 | + | 0.928249i | −0.000273688 | + | 0.0349599i | ||||
\(706\) | −4.06835 | + | 4.93944i | −0.153114 | + | 0.185898i | ||||
\(707\) | −0.0226568 | − | 0.00607088i | −0.000852098 | − | 0.000228319i | ||||
\(708\) | −5.99465 | − | 32.0366i | −0.225293 | − | 1.20401i | ||||
\(709\) | 15.4807 | − | 4.14803i | 0.581389 | − | 0.155783i | 0.0438741 | − | 0.999037i | \(-0.486030\pi\) |
0.537515 | + | 0.843254i | \(0.319363\pi\) | |||||||
\(710\) | 3.69215 | + | 1.68078i | 0.138564 | + | 0.0630784i | ||||
\(711\) | −7.75692 | + | 12.9624i | −0.290907 | + | 0.486127i | ||||
\(712\) | 24.4766 | − | 45.2132i | 0.917300 | − | 1.69444i | ||||
\(713\) | 24.0703 | − | 41.6911i | 0.901441 | − | 1.56134i | ||||
\(714\) | −0.00621656 | − | 0.0700000i | −0.000232649 | − | 0.00261968i | ||||
\(715\) | −55.9845 | − | 15.0010i | −2.09370 | − | 0.561006i | ||||
\(716\) | 17.5762 | − | 8.59036i | 0.656852 | − | 0.321037i | ||||
\(717\) | −8.92251 | − | 2.46580i | −0.333217 | − | 0.0920871i | ||||
\(718\) | −15.4362 | − | 2.57662i | −0.576076 | − | 0.0961586i | ||||
\(719\) | −21.7763 | −0.812119 | −0.406060 | − | 0.913847i | \(-0.633097\pi\) | ||||
−0.406060 | + | 0.913847i | \(0.633097\pi\) | |||||||
\(720\) | −27.1646 | + | 19.8794i | −1.01237 | + | 0.740862i | ||||
\(721\) | −0.0938463 | −0.00349502 | ||||||||
\(722\) | −21.3523 | − | 3.56413i | −0.794651 | − | 0.132643i | ||||
\(723\) | 9.51416 | + | 36.6527i | 0.353835 | + | 1.36313i | ||||
\(724\) | 2.72931 | + | 5.58425i | 0.101434 | + | 0.207537i | ||||
\(725\) | 9.40068 | + | 2.51890i | 0.349132 | + | 0.0935497i | ||||
\(726\) | 2.98889 | + | 1.38898i | 0.110928 | + | 0.0515499i | ||||
\(727\) | −2.62325 | + | 4.54360i | −0.0972908 | + | 0.168513i | −0.910562 | − | 0.413372i | \(-0.864351\pi\) |
0.813272 | + | 0.581884i | \(0.197684\pi\) | |||||||
\(728\) | −0.0455564 | − | 0.153102i | −0.00168843 | − | 0.00567435i | ||||
\(729\) | −1.26775 | + | 26.9702i | −0.0469536 | + | 0.998897i | ||||
\(730\) | 26.3899 | + | 12.0135i | 0.976736 | + | 0.444639i | ||||
\(731\) | 20.2616 | − | 5.42908i | 0.749403 | − | 0.200802i | ||||
\(732\) | 23.0066 | + | 26.8436i | 0.850347 | + | 0.992167i | ||||
\(733\) | 12.7415 | + | 3.41408i | 0.470618 | + | 0.126102i | 0.486331 | − | 0.873775i | \(-0.338335\pi\) |
−0.0157124 | + | 0.999877i | \(0.505002\pi\) | |||||||
\(734\) | −4.96020 | + | 6.02225i | −0.183084 | + | 0.222285i | ||||
\(735\) | −29.3196 | − | 17.2351i | −1.08147 | − | 0.635728i | ||||
\(736\) | −10.5125 | + | 33.5819i | −0.387497 | + | 1.23785i | ||||
\(737\) | − | 24.9993i | − | 0.920860i | ||||||
\(738\) | −7.54578 | − | 21.1601i | −0.277764 | − | 0.778913i | ||||
\(739\) | −23.2424 | − | 23.2424i | −0.854984 | − | 0.854984i | 0.135758 | − | 0.990742i | \(-0.456653\pi\) |
−0.990742 | + | 0.135758i | \(0.956653\pi\) | |||||||
\(740\) | 1.17017 | + | 5.99372i | 0.0430165 | + | 0.220333i | ||||
\(741\) | 21.3334 | + | 5.89563i | 0.783701 | + | 0.216582i | ||||
\(742\) | 0.0126895 | − | 0.00122713i | 0.000465848 | − | 4.50493e-5i | ||||
\(743\) | 24.5336 | − | 14.1645i | 0.900049 | − | 0.519643i | 0.0228329 | − | 0.999739i | \(-0.492731\pi\) |
0.877216 | + | 0.480096i | \(0.159398\pi\) | |||||||
\(744\) | −27.3283 | − | 26.2783i | −1.00190 | − | 0.963410i | ||||
\(745\) | −23.0683 | − | 13.3185i | −0.845159 | − | 0.487953i | ||||
\(746\) | −10.8836 | − | 4.95453i | −0.398476 | − | 0.181398i | ||||
\(747\) | 37.6617 | − | 9.46202i | 1.37797 | − | 0.346197i | ||||
\(748\) | −1.44717 | + | 20.9428i | −0.0529136 | + | 0.765744i | ||||
\(749\) | −0.0224560 | + | 0.00601707i | −0.000820525 | + | 0.000219859i | ||||
\(750\) | 2.52398 | − | 14.4246i | 0.0921626 | − | 0.526711i | ||||
\(751\) | 22.5527 | − | 13.0208i | 0.822960 | − | 0.475136i | −0.0284763 | − | 0.999594i | \(-0.509066\pi\) |
0.851436 | + | 0.524458i | \(0.175732\pi\) | |||||||
\(752\) | 0.708108 | − | 0.287449i | 0.0258220 | − | 0.0104822i | ||||
\(753\) | −45.0891 | − | 0.352986i | −1.64314 | − | 0.0128635i | ||||
\(754\) | 5.25261 | − | 31.4678i | 0.191289 | − | 1.14599i | ||||
\(755\) | 8.99509 | − | 8.99509i | 0.327365 | − | 0.327365i | ||||
\(756\) | −0.0878832 | − | 0.00815039i | −0.00319628 | − | 0.000296427i | ||||
\(757\) | 4.87465 | + | 4.87465i | 0.177172 | + | 0.177172i | 0.790122 | − | 0.612950i | \(-0.210017\pi\) |
−0.612950 | + | 0.790122i | \(0.710017\pi\) | |||||||
\(758\) | −23.8017 | − | 33.3397i | −0.864516 | − | 1.21095i | ||||
\(759\) | −0.262077 | + | 33.4767i | −0.00951279 | + | 1.21513i | ||||
\(760\) | 15.2409 | − | 0.417902i | 0.552846 | − | 0.0151589i | ||||
\(761\) | −3.18964 | − | 5.52462i | −0.115624 | − | 0.200267i | 0.802405 | − | 0.596780i | \(-0.203554\pi\) |
−0.918029 | + | 0.396513i | \(0.870220\pi\) | |||||||
\(762\) | −14.0564 | + | 9.86984i | −0.509209 | + | 0.357546i | ||||
\(763\) | 0.0186016 | + | 0.0694221i | 0.000673423 | + | 0.00251325i | ||||
\(764\) | −19.0999 | + | 16.6309i | −0.691012 | + | 0.601685i | ||||
\(765\) | 27.3410 | + | 7.78679i | 0.988518 | + | 0.281532i | ||||
\(766\) | 5.67996 | − | 2.12631i | 0.205225 | − | 0.0768267i | ||||
\(767\) | −31.2827 | + | 54.1832i | −1.12955 | + | 1.95644i | ||||
\(768\) | 23.6895 | + | 14.3809i | 0.854820 | + | 0.518925i | ||||
\(769\) | −9.57641 | − | 16.5868i | −0.345334 | − | 0.598136i | 0.640080 | − | 0.768308i | \(-0.278901\pi\) |
−0.985414 | + | 0.170172i | \(0.945568\pi\) | |||||||
\(770\) | −0.0808054 | − | 0.0665551i | −0.00291202 | − | 0.00239848i | ||||
\(771\) | −3.71141 | + | 13.4298i | −0.133663 | + | 0.483661i | ||||
\(772\) | −3.82847 | − | 19.6097i | −0.137790 | − | 0.705769i | ||||
\(773\) | 26.0627 | − | 26.0627i | 0.937411 | − | 0.937411i | −0.0607427 | − | 0.998153i | \(-0.519347\pi\) |
0.998153 | + | 0.0607427i | \(0.0193469\pi\) | |||||||
\(774\) | −2.12494 | − | 26.2588i | −0.0763794 | − | 0.943852i | ||||
\(775\) | −22.2015 | −0.797503 | ||||||||
\(776\) | 4.87181 | + | 7.92811i | 0.174888 | + | 0.284603i | ||||
\(777\) | −0.00811437 | + | 0.0138038i | −0.000291101 | + | 0.000495209i | ||||
\(778\) | −22.8330 | + | 2.20804i | −0.818604 | + | 0.0791622i | ||||
\(779\) | −2.63358 | + | 9.82864i | −0.0943577 | + | 0.352148i | ||||
\(780\) | 64.4270 | + | 4.95902i | 2.30686 | + | 0.177561i | ||||
\(781\) | −0.822367 | − | 3.06912i | −0.0294266 | − | 0.109822i | ||||
\(782\) | 27.8318 | − | 10.4189i | 0.995264 | − | 0.372580i | ||||
\(783\) | −15.0548 | − | 9.16991i | −0.538016 | − | 0.327706i | ||||
\(784\) | −3.85122 | + | 27.7336i | −0.137544 | + | 0.990485i | ||||
\(785\) | 48.0583 | + | 27.7464i | 1.71527 | + | 0.990313i | ||||
\(786\) | 7.00211 | + | 19.1601i | 0.249757 | + | 0.683417i | ||||
\(787\) | −2.96285 | + | 11.0575i | −0.105614 | + | 0.394158i | −0.998414 | − | 0.0562956i | \(-0.982071\pi\) |
0.892800 | + | 0.450454i | \(0.148738\pi\) | |||||||
\(788\) | 0.695991 | − | 0.340166i | 0.0247936 | − | 0.0121179i | ||||
\(789\) | −7.07653 | + | 1.83690i | −0.251931 | + | 0.0653953i | ||||
\(790\) | 16.2577 | − | 11.6066i | 0.578422 | − | 0.412943i | ||||
\(791\) | 0.115586i | 0.00410975i | ||||||||
\(792\) | 25.5452 | + | 6.52396i | 0.907711 | + | 0.231819i | ||||
\(793\) | − | 67.8655i | − | 2.40997i | ||||||
\(794\) | 2.58839 | + | 3.62563i | 0.0918584 | + | 0.128669i | ||||
\(795\) | −1.37374 | + | 4.97087i | −0.0487215 | + | 0.176299i | ||||
\(796\) | 34.1511 | + | 11.7278i | 1.21046 | + | 0.415681i | ||||
\(797\) | −1.12000 | + | 4.17990i | −0.0396725 | + | 0.148060i | −0.982921 | − | 0.184028i | \(-0.941086\pi\) |
0.943249 | + | 0.332088i | \(0.107753\pi\) | |||||||
\(798\) | 0.0306573 | + | 0.0256562i | 0.00108526 | + | 0.000908220i | ||||
\(799\) | −0.558944 | − | 0.322706i | −0.0197740 | − | 0.0114165i | ||||
\(800\) | 15.8365 | − | 3.54503i | 0.559906 | − | 0.125336i | ||||
\(801\) | −0.853772 | + | 54.5255i | −0.0301666 | + | 1.92656i | ||||
\(802\) | −4.25575 | − | 11.3683i | −0.150276 | − | 0.401427i | ||||
\(803\) | −5.87794 | − | 21.9368i | −0.207428 | − | 0.774132i | ||||
\(804\) | 5.12623 | + | 27.3956i | 0.180788 | + | 0.966169i | ||||
\(805\) | −0.0383562 | + | 0.143147i | −0.00135188 | + | 0.00504528i | ||||
\(806\) | 7.00526 | + | 72.4403i | 0.246750 | + | 2.55160i | ||||
\(807\) | 33.7612 | + | 0.264304i | 1.18845 | + | 0.00930394i | ||||
\(808\) | −7.59813 | − | 1.81424i | −0.267301 | − | 0.0638249i | ||||
\(809\) | 22.7884 | 0.801198 | 0.400599 | − | 0.916253i | \(-0.368802\pi\) | ||||
0.400599 | + | 0.916253i | \(0.368802\pi\) | |||||||
\(810\) | 15.8028 | − | 32.0159i | 0.555254 | − | 1.12492i | ||||
\(811\) | −14.9053 | + | 14.9053i | −0.523396 | + | 0.523396i | −0.918595 | − | 0.395200i | \(-0.870675\pi\) |
0.395200 | + | 0.918595i | \(0.370675\pi\) | |||||||
\(812\) | 0.0321832 | − | 0.0477982i | 0.00112941 | − | 0.00167739i | ||||
\(813\) | 17.4007 | + | 17.6753i | 0.610270 | + | 0.619901i | ||||
\(814\) | 3.04094 | − | 3.69205i | 0.106585 | − | 0.129406i | ||||
\(815\) | 12.5315 | + | 21.7052i | 0.438959 | + | 0.760299i | ||||
\(816\) | −2.70854 | − | 23.2470i | −0.0948180 | − | 0.813809i | ||||
\(817\) | −5.96623 | + | 10.3338i | −0.208732 | + | 0.361535i | ||||
\(818\) | 18.3712 | + | 49.0744i | 0.642333 | + | 1.71585i | ||||
\(819\) | 0.117912 | + | 0.121663i | 0.00412018 | + | 0.00425126i | ||||
\(820\) | −2.04790 | + | 29.6364i | −0.0715158 | + | 1.03495i | ||||
\(821\) | 11.7591 | + | 43.8854i | 0.410394 | + | 1.53161i | 0.793886 | + | 0.608067i | \(0.208055\pi\) |
−0.383492 | + | 0.923544i | \(0.625279\pi\) | |||||||
\(822\) | 13.2658 | − | 1.17811i | 0.462697 | − | 0.0410911i | ||||
\(823\) | −22.8842 | − | 39.6366i | −0.797694 | − | 1.38165i | −0.921115 | − | 0.389292i | \(-0.872720\pi\) |
0.123421 | − | 0.992354i | \(-0.460614\pi\) | |||||||
\(824\) | −31.2425 | + | 0.856660i | −1.08838 | + | 0.0298432i | ||||
\(825\) | 13.4308 | − | 7.61473i | 0.467601 | − | 0.265111i | ||||
\(826\) | −0.0919720 | + | 0.0656601i | −0.00320012 | + | 0.00228461i | ||||
\(827\) | −22.0262 | − | 22.0262i | −0.765925 | − | 0.765925i | 0.211461 | − | 0.977386i | \(-0.432178\pi\) |
−0.977386 | + | 0.211461i | \(0.932178\pi\) | |||||||
\(828\) | −6.57737 | − | 36.7394i | −0.228580 | − | 1.27678i | ||||
\(829\) | 28.3392 | − | 28.3392i | 0.984261 | − | 0.984261i | −0.0156173 | − | 0.999878i | \(-0.504971\pi\) |
0.999878 | + | 0.0156173i | \(0.00497134\pi\) | |||||||
\(830\) | −50.6492 | − | 8.45437i | −1.75806 | − | 0.293455i | ||||
\(831\) | −5.81117 | + | 9.88571i | −0.201587 | + | 0.342931i | ||||
\(832\) | −16.5638 | − | 50.5536i | −0.574246 | − | 1.75263i | ||||
\(833\) | 20.4785 | − | 11.8233i | 0.709539 | − | 0.409653i | ||||
\(834\) | 11.8361 | + | 32.3874i | 0.409850 | + | 1.12148i | ||||
\(835\) | −32.2174 | + | 8.63262i | −1.11493 | + | 0.298744i | ||||
\(836\) | −7.84191 | − | 9.00613i | −0.271218 | − | 0.311483i | ||||
\(837\) | 38.5874 | + | 11.3171i | 1.33377 | + | 0.391176i | ||||
\(838\) | −12.1140 | + | 26.6108i | −0.418473 | + | 0.919256i | ||||
\(839\) | 15.8724 | + | 9.16393i | 0.547976 | + | 0.316374i | 0.748305 | − | 0.663355i | \(-0.230868\pi\) |
−0.200329 | + | 0.979729i | \(0.564201\pi\) | |||||||
\(840\) | 0.102199 | + | 0.0563652i | 0.00352618 | + | 0.00194478i | ||||
\(841\) | −15.1479 | + | 8.74565i | −0.522342 | + | 0.301574i | ||||
\(842\) | 1.31903 | + | 13.6399i | 0.0454567 | + | 0.470061i | ||||
\(843\) | 1.60177 | + | 6.17072i | 0.0551679 | + | 0.212531i | ||||
\(844\) | −2.69942 | + | 4.00916i | −0.0929178 | + | 0.138001i | ||||
\(845\) | −61.9244 | − | 61.9244i | −2.13026 | − | 2.13026i | ||||
\(846\) | −0.525071 | + | 0.617535i | −0.0180523 | + | 0.0212313i | ||||
\(847\) | − | 0.0114274i | − | 0.000392650i | ||||||
\(848\) | 4.21329 | − | 0.524359i | 0.144685 | − | 0.0180066i | ||||
\(849\) | 6.54287 | − | 3.70954i | 0.224551 | − | 0.127311i | ||||
\(850\) | −10.5790 | − | 8.71336i | −0.362857 | − | 0.298866i | ||||
\(851\) | −6.54048 | − | 1.75252i | −0.224205 | − | 0.0600755i | ||||
\(852\) | 1.53053 | + | 3.19468i | 0.0524353 | + | 0.109448i | ||||
\(853\) | −23.7728 | + | 6.36992i | −0.813967 | + | 0.218102i | −0.641707 | − | 0.766950i | \(-0.721773\pi\) |
−0.172260 | + | 0.985052i | \(0.555107\pi\) | |||||||
\(854\) | 0.0507863 | − | 0.111562i | 0.00173787 | − | 0.00381757i | ||||
\(855\) | −14.1298 | + | 7.86550i | −0.483229 | + | 0.268994i | ||||
\(856\) | −7.42093 | + | 2.20814i | −0.253642 | + | 0.0754726i | ||||
\(857\) | −0.838395 | + | 1.45214i | −0.0286390 | + | 0.0496043i | −0.879990 | − | 0.474993i | \(-0.842451\pi\) |
0.851351 | + | 0.524597i | \(0.175784\pi\) | |||||||
\(858\) | −29.0836 | − | 41.4201i | −0.992896 | − | 1.41406i | ||||
\(859\) | −13.4806 | − | 3.61213i | −0.459954 | − | 0.123244i | 0.0213994 | − | 0.999771i | \(-0.493188\pi\) |
−0.481353 | + | 0.876527i | \(0.659855\pi\) | |||||||
\(860\) | −11.3147 | + | 32.9483i | −0.385829 | + | 1.12353i | ||||
\(861\) | −0.0555070 | + | 0.0546446i | −0.00189167 | + | 0.00186228i | ||||
\(862\) | −5.90642 | + | 35.3847i | −0.201173 | + | 1.20521i | ||||
\(863\) | 31.6409 | 1.07707 | 0.538535 | − | 0.842603i | \(-0.318978\pi\) | ||||
0.538535 | + | 0.842603i | \(0.318978\pi\) | |||||||
\(864\) | −29.3317 | − | 1.91113i | −0.997884 | − | 0.0650179i | ||||
\(865\) | 1.36046 | 0.0462570 | ||||||||
\(866\) | −2.45046 | + | 14.6804i | −0.0832701 | + | 0.498862i | ||||
\(867\) | 6.89764 | − | 6.79048i | 0.234256 | − | 0.230617i | ||||
\(868\) | −0.0426942 | + | 0.124325i | −0.00144913 | + | 0.00421986i | ||||
\(869\) | −15.1126 | − | 4.04940i | −0.512658 | − | 0.137366i | ||||
\(870\) | 13.3951 | + | 19.0770i | 0.454136 | + | 0.646770i | ||||
\(871\) | 26.7509 | − | 46.3340i | 0.906421 | − | 1.56997i | ||||
\(872\) | 6.82639 | + | 22.9416i | 0.231171 | + | 0.776900i | ||||
\(873\) | −8.46919 | − | 5.06812i | −0.286639 | − | 0.171530i | ||||
\(874\) | −7.00416 | + | 15.3860i | −0.236919 | + | 0.520438i | ||||
\(875\) | −0.0490426 | + | 0.0131409i | −0.00165794 | + | 0.000444244i | ||||
\(876\) | 10.9396 | + | 22.8342i | 0.369616 | + | 0.771497i | ||||
\(877\) | 29.4369 | + | 7.88760i | 0.994014 | + | 0.266345i | 0.718936 | − | 0.695077i | \(-0.244630\pi\) |
0.275078 | + | 0.961422i | \(0.411296\pi\) | |||||||
\(878\) | −3.60992 | − | 2.97330i | −0.121829 | − | 0.100344i | ||||
\(879\) | 22.8944 | − | 12.9802i | 0.772210 | − | 0.437812i | ||||
\(880\) | −27.5086 | − | 21.4193i | −0.927313 | − | 0.722045i | ||||
\(881\) | 10.2116i | 0.344037i | 0.985094 | + | 0.172019i | \(0.0550290\pi\) | ||||
−0.985094 | + | 0.172019i | \(0.944971\pi\) | |||||||
\(882\) | −9.97522 | − | 27.9728i | −0.335883 | − | 0.941893i | ||||
\(883\) | 7.98299 | + | 7.98299i | 0.268649 | + | 0.268649i | 0.828556 | − | 0.559907i | \(-0.189163\pi\) |
−0.559907 | + | 0.828556i | \(0.689163\pi\) | |||||||
\(884\) | −25.0924 | + | 37.2670i | −0.843949 | + | 1.25343i | ||||
\(885\) | −11.4855 | − | 44.2471i | −0.386080 | − | 1.48735i | ||||
\(886\) | 0.764442 | + | 7.90498i | 0.0256819 | + | 0.265573i | ||||
\(887\) | 9.34850 | − | 5.39736i | 0.313892 | − | 0.181226i | −0.334775 | − | 0.942298i | \(-0.608660\pi\) |
0.648667 | + | 0.761073i | \(0.275327\pi\) | |||||||
\(888\) | −2.57536 | + | 4.66951i | −0.0864234 | + | 0.156699i | ||||
\(889\) | 0.0515723 | + | 0.0297753i | 0.00172968 | + | 0.000998630i | ||||
\(890\) | 29.8769 | − | 65.6304i | 1.00148 | − | 2.19994i | ||||
\(891\) | −27.2250 | + | 6.38849i | −0.912071 | + | 0.214022i | ||||
\(892\) | 0.0431602 | + | 0.0495678i | 0.00144511 | + | 0.00165965i | ||||
\(893\) | 0.354635 | − | 0.0950241i | 0.0118674 | − | 0.00317986i | ||||
\(894\) | −7.98394 | − | 21.8467i | −0.267023 | − | 0.730662i | ||||
\(895\) | 23.7626 | − | 13.7193i | 0.794295 | − | 0.458586i | ||||
\(896\) | 0.0106025 | − | 0.0954989i | 0.000354205 | − | 0.00319039i | ||||
\(897\) | −36.3081 | + | 61.7657i | −1.21229 | + | 2.06230i | ||||
\(898\) | 5.25124 | + | 0.876538i | 0.175236 | + | 0.0292504i | ||||
\(899\) | −18.5643 | + | 18.5643i | −0.619155 | + | 0.619155i | ||||
\(900\) | −13.1568 | + | 11.0987i | −0.438560 | + | 0.369957i | ||||
\(901\) | −2.53547 | − | 2.53547i | −0.0844688 | − | 0.0844688i | ||||
\(902\) | 18.9371 | − | 13.5194i | 0.630536 | − | 0.450148i | ||||
\(903\) | −0.0794594 | + | 0.0450503i | −0.00264424 | + | 0.00149918i | ||||
\(904\) | 1.05510 | + | 38.4797i | 0.0350922 | + | 1.27982i | ||||
\(905\) | 4.35887 | + | 7.54978i | 0.144894 | + | 0.250963i | ||||
\(906\) | 11.0646 | − | 0.982625i | 0.367597 | − | 0.0326455i | ||||
\(907\) | −2.05717 | − | 7.67746i | −0.0683072 | − | 0.254926i | 0.923325 | − | 0.384019i | \(-0.125460\pi\) |
−0.991633 | + | 0.129093i | \(0.958794\pi\) | |||||||
\(908\) | 2.55588 | − | 36.9877i | 0.0848199 | − | 1.22748i | ||||
\(909\) | 8.03585 | − | 2.01890i | 0.266532 | − | 0.0669628i | ||||
\(910\) | −0.0785472 | − | 0.209821i | −0.00260382 | − | 0.00695550i | ||||
\(911\) | 17.5142 | − | 30.3354i | 0.580270 | − | 1.00506i | −0.415176 | − | 0.909741i | \(-0.636280\pi\) |
0.995447 | − | 0.0953171i | \(-0.0303865\pi\) | |||||||
\(912\) | 10.4404 | + | 8.26139i | 0.345715 | + | 0.273562i | ||||
\(913\) | 20.1096 | + | 34.8309i | 0.665532 | + | 1.15274i | ||||
\(914\) | 19.1684 | − | 23.2726i | 0.634035 | − | 0.769791i | ||||
\(915\) | 34.7870 | + | 35.3360i | 1.15002 | + | 1.16817i | ||||
\(916\) | −30.4796 | + | 45.2680i | −1.00707 | + | 1.49570i | ||||
\(917\) | 0.0500128 | − | 0.0500128i | 0.00165157 | − | 0.00165157i | ||||
\(918\) | 13.9452 | + | 20.5368i | 0.460262 | + | 0.677816i | ||||
\(919\) | 25.9311 | 0.855387 | 0.427694 | − | 0.903924i | \(-0.359326\pi\) | ||||
0.427694 | + | 0.903924i | \(0.359326\pi\) | |||||||
\(920\) | −11.4625 | + | 48.0054i | −0.377908 | + | 1.58269i | ||||
\(921\) | 57.3882 | + | 0.449271i | 1.89101 | + | 0.0148040i | ||||
\(922\) | 5.28421 | + | 54.6433i | 0.174026 | + | 1.79958i | ||||
\(923\) | 1.75998 | − | 6.56833i | 0.0579304 | − | 0.216199i | ||||
\(924\) | −0.0168133 | − | 0.0898536i | −0.000553117 | − | 0.00295596i | ||||
\(925\) | 0.808226 | + | 3.01634i | 0.0265743 | + | 0.0991767i | ||||
\(926\) | −4.17705 | − | 11.1580i | −0.137266 | − | 0.366676i | ||||
\(927\) | 28.9648 | − | 16.1235i | 0.951329 | − | 0.529567i | ||||
\(928\) | 10.2778 | − | 16.2063i | 0.337386 | − | 0.531999i | ||||
\(929\) | −23.3443 | − | 13.4779i | −0.765903 | − | 0.442194i | 0.0655082 | − | 0.997852i | \(-0.479133\pi\) |
−0.831411 | + | 0.555658i | \(0.812466\pi\) | |||||||
\(930\) | −40.7795 | − | 34.1272i | −1.33721 | − | 1.11907i | ||||
\(931\) | −3.48148 | + | 12.9931i | −0.114101 | + | 0.425831i | ||||
\(932\) | −14.0513 | − | 4.82534i | −0.460266 | − | 0.158059i | ||||
\(933\) | −13.8027 | + | 49.9451i | −0.451880 | + | 1.63513i | ||||
\(934\) | −22.6069 | − | 31.6661i | −0.739720 | − | 1.03615i | ||||
\(935\) | 29.4438i | 0.962914i | ||||||||
\(936\) | 40.3648 | + | 39.4267i | 1.31936 | + | 1.28870i | ||||
\(937\) | 5.72005i | 0.186866i | 0.995626 | + | 0.0934330i | \(0.0297841\pi\) | ||||
−0.995626 | + | 0.0934330i | \(0.970216\pi\) | |||||||
\(938\) | 0.0786485 | − | 0.0561482i | 0.00256796 | − | 0.00183330i | ||||
\(939\) | −25.2654 | + | 6.55828i | −0.824504 | + | 0.214021i | ||||
\(940\) | 0.963015 | − | 0.470674i | 0.0314101 | − | 0.0153517i | ||||
\(941\) | 6.14201 | − | 22.9223i | 0.200224 | − | 0.747245i | −0.790629 | − | 0.612296i | \(-0.790246\pi\) |
0.990853 | − | 0.134949i | \(-0.0430871\pi\) | |||||||
\(942\) | 16.6329 | + | 45.5132i | 0.541931 | + | 1.48290i | ||||
\(943\) | −28.5257 | − | 16.4693i | −0.928925 | − | 0.536315i | ||||
\(944\) | −30.0192 | + | 22.6985i | −0.977040 | + | 0.738774i | ||||
\(945\) | −0.123757 | − | 0.00290702i | −0.00402582 | − | 9.45655e-5i | ||||
\(946\) | 25.5538 | − | 9.56615i | 0.830826 | − | 0.311022i | ||||
\(947\) | 14.0030 | + | 52.2601i | 0.455038 | + | 1.69822i | 0.687977 | + | 0.725732i | \(0.258499\pi\) |
−0.232940 | + | 0.972491i | \(0.574834\pi\) | |||||||
\(948\) | 17.3915 | + | 1.33865i | 0.564851 | + | 0.0434772i | ||||
\(949\) | 12.5796 | − | 46.9477i | 0.408351 | − | 1.52399i | ||||
\(950\) | 7.76016 | − | 0.750437i | 0.251773 | − | 0.0243474i | ||||
\(951\) | 18.3242 | − | 31.1724i | 0.594204 | − | 1.01083i | ||||
\(952\) | −0.0691370 | + | 0.0424845i | −0.00224074 | + | 0.00137693i | ||||
\(953\) | 2.80246 | 0.0907805 | 0.0453902 | − | 0.998969i | \(-0.485547\pi\) | ||||
0.0453902 | + | 0.998969i | \(0.485547\pi\) | |||||||
\(954\) | −3.70568 | + | 2.55891i | −0.119976 | + | 0.0828477i | ||||
\(955\) | −25.1173 | + | 25.1173i | −0.812775 | + | 0.812775i | ||||
\(956\) | 2.04818 | + | 10.4909i | 0.0662430 | + | 0.339302i | ||||
\(957\) | 4.86326 | − | 17.5977i | 0.157207 | − | 0.568854i | ||||
\(958\) | −22.7658 | − | 18.7510i | −0.735529 | − | 0.605816i | ||||
\(959\) | −0.0230880 | − | 0.0399895i | −0.000745550 | − | 0.00129133i | ||||
\(960\) | 34.5376 | + | 17.8317i | 1.11469 | + | 0.575516i | ||||
\(961\) | 14.4456 | − | 25.0204i | 0.465986 | − | 0.807111i | ||||
\(962\) | 9.58685 | − | 3.58887i | 0.309093 | − | 0.115710i | ||||
\(963\) | 5.89707 | − | 5.71524i | 0.190030 | − | 0.184171i | ||||
\(964\) | 32.9764 | − | 28.7136i | 1.06210 | − | 0.924803i | ||||
\(965\) | −7.25296 | − | 27.0684i | −0.233481 | − | 0.871363i | ||||
\(966\) | −0.105907 | + | 0.0743639i | −0.00340751 | + | 0.00239262i | ||||
\(967\) | −7.66141 | − | 13.2699i | −0.246374 | − | 0.426733i | 0.716143 | − | 0.697954i | \(-0.245906\pi\) |
−0.962517 | + | 0.271221i | \(0.912573\pi\) | |||||||
\(968\) | −0.104313 | − | 3.80431i | −0.00335275 | − | 0.122275i | ||||
\(969\) | 0.0880203 | − | 11.2434i | 0.00282762 | − | 0.361189i | ||||
\(970\) | 7.58335 | + | 10.6222i | 0.243487 | + | 0.341059i | ||||
\(971\) | 22.7938 | + | 22.7938i | 0.731487 | + | 0.731487i | 0.970914 | − | 0.239428i | \(-0.0769598\pi\) |
−0.239428 | + | 0.970914i | \(0.576960\pi\) | |||||||
\(972\) | 28.5247 | − | 12.5835i | 0.914929 | − | 0.403616i | ||||
\(973\) | 0.0845395 | − | 0.0845395i | 0.00271021 | − | 0.00271021i | ||||
\(974\) | 7.91947 | − | 47.4447i | 0.253756 | − | 1.52023i | ||||
\(975\) | 33.0411 | + | 0.258667i | 1.05816 | + | 0.00828397i | ||||
\(976\) | 15.8890 | − | 37.6038i | 0.508593 | − | 1.20367i | ||||
\(977\) | −20.2451 | + | 11.6885i | −0.647699 | + | 0.373949i | −0.787574 | − | 0.616220i | \(-0.788663\pi\) |
0.139875 | + | 0.990169i | \(0.455330\pi\) | |||||||
\(978\) | −3.77214 | + | 21.5578i | −0.120620 | + | 0.689344i | ||||
\(979\) | −54.5556 | + | 14.6181i | −1.74360 | + | 0.467197i | ||||
\(980\) | −2.70724 | + | 39.1781i | −0.0864797 | + | 1.25150i | ||||
\(981\) | −17.6685 | − | 18.2306i | −0.564112 | − | 0.582059i | ||||
\(982\) | −1.88342 | − | 0.857389i | −0.0601023 | − | 0.0273604i | ||||
\(983\) | −30.2556 | − | 17.4681i | −0.965005 | − | 0.557146i | −0.0672949 | − | 0.997733i | \(-0.521437\pi\) |
−0.897710 | + | 0.440587i | \(0.854770\pi\) | |||||||
\(984\) | −17.9801 | + | 18.6985i | −0.573184 | + | 0.596086i | ||||
\(985\) | 0.940963 | − | 0.543265i | 0.0299816 | − | 0.0173099i | ||||
\(986\) | −16.1318 | + | 1.56000i | −0.513740 | + | 0.0496806i | ||||
\(987\) | 0.00270891 | 0.000748629i | 8.62257e−5 | 2.38291e-5i | ||||||
\(988\) | −4.89713 | − | 25.0834i | −0.155798 | − | 0.798011i | ||||
\(989\) | −27.3131 | − | 27.3131i | −0.868507 | − | 0.868507i | ||||
\(990\) | 36.3746 | + | 6.65861i | 1.15606 | + | 0.211625i | ||||
\(991\) | 58.5560i | 1.86009i | 0.367440 | + | 0.930047i | \(0.380234\pi\) | ||||
−0.367440 | + | 0.930047i | \(0.619766\pi\) | |||||||
\(992\) | −13.0785 | + | 41.7788i | −0.415242 | + | 1.32648i | ||||
\(993\) | 28.5137 | + | 16.7614i | 0.904855 | + | 0.531906i | ||||
\(994\) | 0.00780850 | − | 0.00948041i | 0.000247671 | − | 0.000300700i | ||||
\(995\) | 48.9194 | + | 13.1079i | 1.55085 | + | 0.415549i | ||||
\(996\) | −29.1795 | − | 34.0461i | −0.924589 | − | 1.07879i | ||||
\(997\) | 43.9362 | − | 11.7727i | 1.39147 | − | 0.372844i | 0.516199 | − | 0.856469i | \(-0.327347\pi\) |
0.875276 | + | 0.483624i | \(0.160680\pi\) | |||||||
\(998\) | −46.9153 | − | 21.3572i | −1.48508 | − | 0.676051i | ||||
\(999\) | 0.132824 | − | 5.65453i | 0.00420235 | − | 0.178902i |
(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 | 144.2.u.a.11.14 | ✓ | 88 | |
3.2 | odd | 2 | 432.2.v.a.251.9 | 88 | |||
4.3 | odd | 2 | 576.2.y.a.335.5 | 88 | |||
9.4 | even | 3 | 432.2.v.a.395.17 | 88 | |||
9.5 | odd | 6 | inner | 144.2.u.a.59.6 | yes | 88 | |
12.11 | even | 2 | 1728.2.z.a.143.18 | 88 | |||
16.3 | odd | 4 | inner | 144.2.u.a.83.6 | yes | 88 | |
16.13 | even | 4 | 576.2.y.a.47.16 | 88 | |||
36.23 | even | 6 | 576.2.y.a.527.16 | 88 | |||
36.31 | odd | 6 | 1728.2.z.a.719.18 | 88 | |||
48.29 | odd | 4 | 1728.2.z.a.1007.18 | 88 | |||
48.35 | even | 4 | 432.2.v.a.35.17 | 88 | |||
144.13 | even | 12 | 1728.2.z.a.1583.18 | 88 | |||
144.67 | odd | 12 | 432.2.v.a.179.9 | 88 | |||
144.77 | odd | 12 | 576.2.y.a.239.5 | 88 | |||
144.131 | even | 12 | inner | 144.2.u.a.131.14 | yes | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.2.u.a.11.14 | ✓ | 88 | 1.1 | even | 1 | trivial | |
144.2.u.a.59.6 | yes | 88 | 9.5 | odd | 6 | inner | |
144.2.u.a.83.6 | yes | 88 | 16.3 | odd | 4 | inner | |
144.2.u.a.131.14 | yes | 88 | 144.131 | even | 12 | inner | |
432.2.v.a.35.17 | 88 | 48.35 | even | 4 | |||
432.2.v.a.179.9 | 88 | 144.67 | odd | 12 | |||
432.2.v.a.251.9 | 88 | 3.2 | odd | 2 | |||
432.2.v.a.395.17 | 88 | 9.4 | even | 3 | |||
576.2.y.a.47.16 | 88 | 16.13 | even | 4 | |||
576.2.y.a.239.5 | 88 | 144.77 | odd | 12 | |||
576.2.y.a.335.5 | 88 | 4.3 | odd | 2 | |||
576.2.y.a.527.16 | 88 | 36.23 | even | 6 | |||
1728.2.z.a.143.18 | 88 | 12.11 | even | 2 | |||
1728.2.z.a.719.18 | 88 | 36.31 | odd | 6 | |||
1728.2.z.a.1007.18 | 88 | 48.29 | odd | 4 | |||
1728.2.z.a.1583.18 | 88 | 144.13 | even | 12 |