Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(4,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([14, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.z (of order \(21\), degree \(12\), 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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 142.6 | ||
Character | \(\chi\) | \(=\) | 441.142 |
Dual form | 441.2.z.a.382.6 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{4}{21}\right)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.874498 | + | 2.22818i | −0.618363 | + | 1.57556i | 0.186727 | + | 0.982412i | \(0.440212\pi\) |
−0.805090 | + | 0.593152i | \(0.797883\pi\) | |||||||
\(3\) | 0.970834 | − | 1.43439i | 0.560511 | − | 0.828147i | ||||
\(4\) | −2.73395 | − | 2.53674i | −1.36698 | − | 1.26837i | ||||
\(5\) | 3.39938 | − | 1.63705i | 1.52025 | − | 0.732113i | 0.527190 | − | 0.849747i | \(-0.323245\pi\) |
0.993057 | + | 0.117635i | \(0.0375311\pi\) | |||||||
\(6\) | 2.34710 | + | 3.41757i | 0.958199 | + | 1.39522i | ||||
\(7\) | 1.06773 | + | 2.42074i | 0.403563 | + | 0.914952i | ||||
\(8\) | 3.72995 | − | 1.79625i | 1.31874 | − | 0.635070i | ||||
\(9\) | −1.11496 | − | 2.78511i | −0.371655 | − | 0.928371i | ||||
\(10\) | 0.674909 | + | 9.00604i | 0.213425 | + | 2.84796i | ||||
\(11\) | −2.04830 | − | 2.56849i | −0.617586 | − | 0.774428i | 0.370417 | − | 0.928866i | \(-0.379215\pi\) |
−0.988003 | + | 0.154438i | \(0.950643\pi\) | |||||||
\(12\) | −6.29289 | + | 1.45881i | −1.81660 | + | 0.421123i | ||||
\(13\) | 2.32389 | − | 5.92117i | 0.644531 | − | 1.64224i | −0.116243 | − | 0.993221i | \(-0.537085\pi\) |
0.760774 | − | 0.649017i | \(-0.224820\pi\) | |||||||
\(14\) | −6.32757 | + | 0.262165i | −1.69111 | + | 0.0700667i | ||||
\(15\) | 0.952052 | − | 6.46535i | 0.245819 | − | 1.66935i | ||||
\(16\) | 0.183121 | + | 2.44358i | 0.0457803 | + | 0.610896i | ||||
\(17\) | −1.49068 | + | 1.38315i | −0.361543 | + | 0.335463i | −0.839938 | − | 0.542682i | \(-0.817409\pi\) |
0.478396 | + | 0.878144i | \(0.341219\pi\) | |||||||
\(18\) | 7.18078 | − | 0.0487699i | 1.69253 | − | 0.0114952i | ||||
\(19\) | −0.0966792 | + | 0.167453i | −0.0221797 | + | 0.0384164i | −0.876902 | − | 0.480669i | \(-0.840394\pi\) |
0.854723 | + | 0.519085i | \(0.173727\pi\) | |||||||
\(20\) | −13.4465 | − | 4.14770i | −3.00673 | − | 0.927454i | ||||
\(21\) | 4.50887 | + | 0.818591i | 0.983916 | + | 0.178631i | ||||
\(22\) | 7.51430 | − | 2.31785i | 1.60205 | − | 0.494168i | ||||
\(23\) | −0.854157 | + | 3.74231i | −0.178104 | + | 0.780325i | 0.804401 | + | 0.594087i | \(0.202487\pi\) |
−0.982505 | + | 0.186238i | \(0.940371\pi\) | |||||||
\(24\) | 1.04463 | − | 7.09407i | 0.213235 | − | 1.44807i | ||||
\(25\) | 5.75837 | − | 7.22077i | 1.15167 | − | 1.44415i | ||||
\(26\) | 11.1612 | + | 10.3561i | 2.18890 | + | 2.03100i | ||||
\(27\) | −5.07739 | − | 1.10459i | −0.977144 | − | 0.212578i | ||||
\(28\) | 3.22165 | − | 9.32672i | 0.608835 | − | 1.76258i | ||||
\(29\) | −0.654851 | − | 0.201995i | −0.121603 | − | 0.0375095i | 0.233357 | − | 0.972391i | \(-0.425029\pi\) |
−0.354959 | + | 0.934882i | \(0.615505\pi\) | |||||||
\(30\) | 13.5734 | + | 7.77528i | 2.47816 | + | 1.41956i | ||||
\(31\) | −2.46524 | + | 4.26992i | −0.442770 | + | 0.766901i | −0.997894 | − | 0.0648671i | \(-0.979338\pi\) |
0.555124 | + | 0.831768i | \(0.312671\pi\) | |||||||
\(32\) | 2.30711 | + | 0.711651i | 0.407844 | + | 0.125803i | ||||
\(33\) | −5.67278 | + | 0.444493i | −0.987504 | + | 0.0773763i | ||||
\(34\) | −1.77831 | − | 4.53107i | −0.304978 | − | 0.777072i | ||||
\(35\) | 7.59248 | + | 6.48106i | 1.28336 | + | 1.09550i | ||||
\(36\) | −4.01684 | + | 10.4427i | −0.669474 | + | 1.74046i | ||||
\(37\) | 9.59933 | + | 2.96100i | 1.57812 | + | 0.486786i | 0.955315 | − | 0.295591i | \(-0.0955164\pi\) |
0.622806 | + | 0.782376i | \(0.285993\pi\) | |||||||
\(38\) | −0.288571 | − | 0.361856i | −0.0468124 | − | 0.0587009i | ||||
\(39\) | −6.23718 | − | 9.08184i | −0.998748 | − | 1.45426i | ||||
\(40\) | 9.73894 | − | 12.2123i | 1.53986 | − | 1.93093i | ||||
\(41\) | 2.42604 | + | 1.65405i | 0.378884 | + | 0.258319i | 0.737755 | − | 0.675068i | \(-0.235886\pi\) |
−0.358871 | + | 0.933387i | \(0.616838\pi\) | |||||||
\(42\) | −5.76697 | + | 9.33073i | −0.889862 | + | 1.43976i | ||||
\(43\) | 6.13036 | − | 4.17961i | 0.934871 | − | 0.637384i | 0.00293069 | − | 0.999996i | \(-0.499067\pi\) |
0.931940 | + | 0.362611i | \(0.118115\pi\) | |||||||
\(44\) | −0.915622 | + | 12.2181i | −0.138035 | + | 1.84195i | ||||
\(45\) | −8.34956 | − | 7.64239i | −1.24468 | − | 1.13926i | ||||
\(46\) | −7.59159 | − | 5.17586i | −1.11932 | − | 0.763138i | ||||
\(47\) | −3.31857 | + | 8.45558i | −0.484063 | + | 1.23337i | 0.455266 | + | 0.890356i | \(0.349544\pi\) |
−0.939329 | + | 0.343018i | \(0.888551\pi\) | |||||||
\(48\) | 3.68284 | + | 2.10965i | 0.531572 | + | 0.304501i | ||||
\(49\) | −4.71992 | + | 5.16937i | −0.674274 | + | 0.738481i | ||||
\(50\) | 11.0535 | + | 19.1452i | 1.56320 | + | 2.70755i | ||||
\(51\) | 0.536776 | + | 3.48103i | 0.0751637 | + | 0.487441i | ||||
\(52\) | −21.3739 | + | 10.2931i | −2.96402 | + | 1.42740i | ||||
\(53\) | −8.97258 | + | 2.76768i | −1.23248 | + | 0.380169i | −0.841514 | − | 0.540236i | \(-0.818335\pi\) |
−0.390966 | + | 0.920405i | \(0.627859\pi\) | |||||||
\(54\) | 6.90138 | − | 10.3474i | 0.939160 | − | 1.40810i | ||||
\(55\) | −11.1677 | − | 5.37808i | −1.50585 | − | 0.725180i | ||||
\(56\) | 8.33081 | + | 7.11131i | 1.11325 | + | 0.950289i | ||||
\(57\) | 0.146334 | + | 0.301245i | 0.0193824 | + | 0.0399009i | ||||
\(58\) | 1.02275 | − | 1.28248i | 0.134293 | − | 0.168398i | ||||
\(59\) | 1.05545 | − | 0.719590i | 0.137407 | − | 0.0936827i | −0.492666 | − | 0.870219i | \(-0.663977\pi\) |
0.630073 | + | 0.776536i | \(0.283025\pi\) | |||||||
\(60\) | −19.0038 | + | 15.2608i | −2.45337 | + | 1.97017i | ||||
\(61\) | −3.51668 | + | 3.26300i | −0.450265 | + | 0.417784i | −0.872434 | − | 0.488733i | \(-0.837459\pi\) |
0.422169 | + | 0.906517i | \(0.361269\pi\) | |||||||
\(62\) | −7.35833 | − | 9.22705i | −0.934508 | − | 1.17184i | ||||
\(63\) | 5.55154 | − | 5.67277i | 0.699429 | − | 0.714702i | ||||
\(64\) | −6.65890 | + | 8.35000i | −0.832362 | + | 1.04375i | ||||
\(65\) | −1.79350 | − | 23.9326i | −0.222457 | − | 2.96848i | ||||
\(66\) | 3.97042 | − | 13.0287i | 0.488725 | − | 1.60372i | ||||
\(67\) | 2.89648 | − | 5.01686i | 0.353862 | − | 0.612907i | −0.633061 | − | 0.774102i | \(-0.718202\pi\) |
0.986922 | + | 0.161196i | \(0.0515350\pi\) | |||||||
\(68\) | 7.58413 | 0.919711 | ||||||||
\(69\) | 4.53869 | + | 4.85835i | 0.546394 | + | 0.584877i | ||||
\(70\) | −21.0806 | + | 11.2498i | −2.51961 | + | 1.34460i | ||||
\(71\) | −1.83876 | + | 8.05613i | −0.218221 | + | 0.956087i | 0.740571 | + | 0.671978i | \(0.234555\pi\) |
−0.958792 | + | 0.284109i | \(0.908302\pi\) | |||||||
\(72\) | −9.16151 | − | 8.38558i | −1.07969 | − | 0.988250i | ||||
\(73\) | 15.7489 | + | 2.37376i | 1.84327 | + | 0.277828i | 0.975639 | − | 0.219384i | \(-0.0704048\pi\) |
0.867629 | + | 0.497212i | \(0.165643\pi\) | |||||||
\(74\) | −14.9923 | + | 18.7997i | −1.74281 | + | 2.18542i | ||||
\(75\) | −4.76699 | − | 15.2699i | −0.550445 | − | 1.76322i | ||||
\(76\) | 0.689101 | − | 0.212560i | 0.0790453 | − | 0.0243823i | ||||
\(77\) | 4.03060 | − | 7.70084i | 0.459330 | − | 0.877592i | ||||
\(78\) | 25.6904 | − | 5.95553i | 2.90887 | − | 0.674330i | ||||
\(79\) | 2.64250 | + | 4.57695i | 0.297305 | + | 0.514947i | 0.975518 | − | 0.219918i | \(-0.0705789\pi\) |
−0.678213 | + | 0.734865i | \(0.737246\pi\) | |||||||
\(80\) | 4.62278 | + | 8.00689i | 0.516842 | + | 0.895197i | ||||
\(81\) | −6.51371 | + | 6.21060i | −0.723746 | + | 0.690067i | ||||
\(82\) | −5.80709 | + | 3.95921i | −0.641286 | + | 0.437221i | ||||
\(83\) | 0.110991 | + | 0.282801i | 0.0121829 | + | 0.0310414i | 0.936836 | − | 0.349770i | \(-0.113740\pi\) |
−0.924653 | + | 0.380811i | \(0.875645\pi\) | |||||||
\(84\) | −10.2505 | − | 13.6758i | −1.11842 | − | 1.49215i | ||||
\(85\) | −2.80309 | + | 7.14216i | −0.304038 | + | 0.774676i | ||||
\(86\) | 3.95195 | + | 17.3146i | 0.426150 | + | 1.86708i | ||||
\(87\) | −0.925491 | + | 0.743210i | −0.0992231 | + | 0.0796805i | ||||
\(88\) | −12.2537 | − | 5.90107i | −1.30625 | − | 0.629056i | ||||
\(89\) | 0.0719306 | + | 0.183276i | 0.00762462 | + | 0.0194272i | 0.934635 | − | 0.355608i | \(-0.115726\pi\) |
−0.927011 | + | 0.375035i | \(0.877631\pi\) | |||||||
\(90\) | 24.3303 | − | 11.9211i | 2.56464 | − | 1.25659i | ||||
\(91\) | 16.8149 | − | 0.696678i | 1.76268 | − | 0.0730317i | ||||
\(92\) | 11.8285 | − | 8.06452i | 1.23320 | − | 0.840784i | ||||
\(93\) | 3.73141 | + | 7.68151i | 0.386929 | + | 0.796535i | ||||
\(94\) | −15.9385 | − | 14.7888i | −1.64393 | − | 1.52535i | ||||
\(95\) | −0.0545190 | + | 0.727506i | −0.00559353 | + | 0.0746405i | ||||
\(96\) | 3.26061 | − | 2.61841i | 0.332785 | − | 0.267241i | ||||
\(97\) | 0.137584 | − | 0.238303i | 0.0139695 | − | 0.0241960i | −0.858956 | − | 0.512049i | \(-0.828887\pi\) |
0.872926 | + | 0.487853i | \(0.162220\pi\) | |||||||
\(98\) | −7.39075 | − | 15.0374i | −0.746578 | − | 1.51901i | ||||
\(99\) | −4.86975 | + | 8.56852i | −0.489428 | + | 0.861169i | ||||
\(100\) | −34.0603 | + | 5.13376i | −3.40603 | + | 0.513376i | ||||
\(101\) | 3.21960 | − | 1.55048i | 0.320362 | − | 0.154278i | −0.266791 | − | 0.963755i | \(-0.585963\pi\) |
0.587152 | + | 0.809476i | \(0.300249\pi\) | |||||||
\(102\) | −8.22578 | − | 1.84811i | −0.814473 | − | 0.182991i | ||||
\(103\) | −9.49449 | + | 4.57231i | −0.935520 | + | 0.450523i | −0.838587 | − | 0.544768i | \(-0.816618\pi\) |
−0.0969333 | + | 0.995291i | \(0.530903\pi\) | |||||||
\(104\) | −1.96791 | − | 26.2600i | −0.192970 | − | 2.57500i | ||||
\(105\) | 16.6674 | − | 4.59856i | 1.62657 | − | 0.448774i | ||||
\(106\) | 1.67961 | − | 22.4129i | 0.163139 | − | 2.17693i | ||||
\(107\) | 3.13550 | + | 7.98912i | 0.303120 | + | 0.772338i | 0.998555 | + | 0.0537481i | \(0.0171168\pi\) |
−0.695434 | + | 0.718590i | \(0.744788\pi\) | |||||||
\(108\) | 11.0793 | + | 15.8999i | 1.06611 | + | 1.52997i | ||||
\(109\) | 2.06660 | − | 5.26562i | 0.197945 | − | 0.504355i | −0.797093 | − | 0.603857i | \(-0.793630\pi\) |
0.995037 | + | 0.0995022i | \(0.0317250\pi\) | |||||||
\(110\) | 21.7495 | − | 20.1806i | 2.07373 | − | 1.92414i | ||||
\(111\) | 13.5666 | − | 10.8946i | 1.28768 | − | 1.03407i | ||||
\(112\) | −5.71975 | + | 3.05237i | −0.540465 | + | 0.288422i | ||||
\(113\) | −10.5518 | − | 1.59042i | −0.992626 | − | 0.149614i | −0.367404 | − | 0.930061i | \(-0.619753\pi\) |
−0.625222 | + | 0.780447i | \(0.714991\pi\) | |||||||
\(114\) | −0.799198 | + | 0.0626215i | −0.0748518 | + | 0.00586504i | ||||
\(115\) | 3.22275 | + | 14.1198i | 0.300523 | + | 1.31668i | ||||
\(116\) | 1.27792 | + | 2.21343i | 0.118652 | + | 0.205512i | ||||
\(117\) | −19.0822 | + | 0.129601i | −1.76415 | + | 0.0119816i | ||||
\(118\) | 0.680395 | + | 2.98101i | 0.0626354 | + | 0.274424i | ||||
\(119\) | −4.93987 | − | 2.13171i | −0.452838 | − | 0.195414i | ||||
\(120\) | −8.06227 | − | 25.8255i | −0.735981 | − | 2.35754i | ||||
\(121\) | 0.0461369 | − | 0.202139i | 0.00419426 | − | 0.0183763i | ||||
\(122\) | −4.19524 | − | 10.6893i | −0.379819 | − | 0.967763i | ||||
\(123\) | 4.72784 | − | 1.87409i | 0.426295 | − | 0.168981i | ||||
\(124\) | 17.5715 | − | 5.42010i | 1.57797 | − | 0.486739i | ||||
\(125\) | 3.55620 | − | 15.5807i | 0.318076 | − | 1.39358i | ||||
\(126\) | 7.78517 | + | 17.3307i | 0.693558 | + | 1.54394i | ||||
\(127\) | −3.84025 | − | 16.8252i | −0.340767 | − | 1.49300i | −0.797458 | − | 0.603374i | \(-0.793823\pi\) |
0.456691 | − | 0.889625i | \(-0.349034\pi\) | |||||||
\(128\) | −10.3678 | − | 17.9575i | −0.916389 | − | 1.58723i | ||||
\(129\) | −0.0436399 | − | 12.8510i | −0.00384228 | − | 1.13147i | ||||
\(130\) | 54.8947 | + | 16.9328i | 4.81458 | + | 1.48510i | ||||
\(131\) | −8.33743 | − | 4.01509i | −0.728444 | − | 0.350800i | 0.0326278 | − | 0.999468i | \(-0.489612\pi\) |
−0.761072 | + | 0.648667i | \(0.775327\pi\) | |||||||
\(132\) | 16.6367 | + | 13.1751i | 1.44804 | + | 1.14675i | ||||
\(133\) | −0.508587 | − | 0.0552403i | −0.0441001 | − | 0.00478994i | ||||
\(134\) | 8.64551 | + | 10.8411i | 0.746858 | + | 0.936531i | ||||
\(135\) | −19.0682 | + | 4.55706i | −1.64113 | + | 0.392209i | ||||
\(136\) | −3.07568 | + | 7.83670i | −0.263737 | + | 0.671992i | ||||
\(137\) | −2.95762 | − | 1.42432i | −0.252687 | − | 0.121687i | 0.303253 | − | 0.952910i | \(-0.401927\pi\) |
−0.555940 | + | 0.831223i | \(0.687642\pi\) | |||||||
\(138\) | −14.7944 | + | 5.86442i | −1.25938 | + | 0.499213i | ||||
\(139\) | −2.23147 | − | 1.52139i | −0.189270 | − | 0.129042i | 0.464978 | − | 0.885322i | \(-0.346062\pi\) |
−0.654248 | + | 0.756280i | \(0.727015\pi\) | |||||||
\(140\) | −4.31673 | − | 36.9790i | −0.364830 | − | 3.12530i | ||||
\(141\) | 8.90684 | + | 12.9691i | 0.750091 | + | 1.09220i | ||||
\(142\) | −16.3425 | − | 11.1422i | −1.37144 | − | 0.935029i | ||||
\(143\) | −19.9685 | + | 6.15946i | −1.66985 | + | 0.515080i | ||||
\(144\) | 6.60149 | − | 3.23452i | 0.550124 | − | 0.269544i | ||||
\(145\) | −2.55676 | + | 0.385370i | −0.212328 | + | 0.0320032i | ||||
\(146\) | −19.0615 | + | 33.0156i | −1.57754 | + | 2.73239i | ||||
\(147\) | 2.83265 | + | 11.7888i | 0.233633 | + | 0.972325i | ||||
\(148\) | −18.7328 | − | 32.4462i | −1.53983 | − | 2.66706i | ||||
\(149\) | −4.40115 | − | 5.51887i | −0.360556 | − | 0.452123i | 0.568158 | − | 0.822919i | \(-0.307656\pi\) |
−0.928714 | + | 0.370796i | \(0.879085\pi\) | |||||||
\(150\) | 38.1929 | + | 2.73177i | 3.11844 | + | 0.223048i | ||||
\(151\) | −3.49136 | + | 15.2967i | −0.284123 | + | 1.24482i | 0.608330 | + | 0.793684i | \(0.291840\pi\) |
−0.892453 | + | 0.451140i | \(0.851017\pi\) | |||||||
\(152\) | −0.0598207 | + | 0.798252i | −0.00485210 | + | 0.0647468i | ||||
\(153\) | 5.51428 | + | 2.60955i | 0.445803 | + | 0.210970i | ||||
\(154\) | 13.6341 | + | 15.7153i | 1.09867 | + | 1.26637i | ||||
\(155\) | −1.39019 | + | 18.5508i | −0.111663 | + | 1.49004i | ||||
\(156\) | −5.98611 | + | 40.6514i | −0.479272 | + | 3.25472i | ||||
\(157\) | −8.38471 | + | 5.71660i | −0.669173 | + | 0.456234i | −0.849652 | − | 0.527345i | \(-0.823188\pi\) |
0.180479 | + | 0.983579i | \(0.442235\pi\) | |||||||
\(158\) | −12.5092 | + | 1.88545i | −0.995175 | + | 0.149998i | ||||
\(159\) | −4.74095 | + | 15.5572i | −0.375982 | + | 1.23376i | ||||
\(160\) | 9.00776 | − | 1.35770i | 0.712126 | − | 0.107336i | ||||
\(161\) | −9.97114 | + | 1.92807i | −0.785836 | + | 0.151954i | ||||
\(162\) | −8.14214 | − | 19.9449i | −0.639707 | − | 1.56702i | ||||
\(163\) | −1.52340 | + | 1.03863i | −0.119322 | + | 0.0813521i | −0.621510 | − | 0.783406i | \(-0.713481\pi\) |
0.502189 | + | 0.864758i | \(0.332528\pi\) | |||||||
\(164\) | −2.43680 | − | 10.6763i | −0.190282 | − | 0.833681i | ||||
\(165\) | −18.5563 | + | 10.7976i | −1.44460 | + | 0.840595i | ||||
\(166\) | −0.727194 | −0.0564412 | ||||||||
\(167\) | −3.12448 | + | 2.89909i | −0.241779 | + | 0.224338i | −0.791750 | − | 0.610846i | \(-0.790830\pi\) |
0.549970 | + | 0.835184i | \(0.314639\pi\) | |||||||
\(168\) | 18.2882 | − | 5.04575i | 1.41097 | − | 0.389288i | ||||
\(169\) | −20.1302 | − | 18.6781i | −1.54847 | − | 1.43677i | ||||
\(170\) | −13.4628 | − | 12.4916i | −1.03255 | − | 0.958063i | ||||
\(171\) | 0.574170 | + | 0.0825581i | 0.0439079 | + | 0.00631337i | ||||
\(172\) | −27.3627 | − | 4.12426i | −2.08639 | − | 0.314472i | ||||
\(173\) | −8.23767 | + | 2.54098i | −0.626298 | + | 0.193187i | −0.591628 | − | 0.806211i | \(-0.701514\pi\) |
−0.0346707 | + | 0.999399i | \(0.511038\pi\) | |||||||
\(174\) | −0.846669 | − | 2.71210i | −0.0641858 | − | 0.205604i | ||||
\(175\) | 23.6279 | + | 6.22968i | 1.78610 | + | 0.470919i | ||||
\(176\) | 5.90123 | − | 5.47554i | 0.444822 | − | 0.412734i | ||||
\(177\) | −0.00751334 | − | 2.21253i | −0.000564737 | − | 0.166304i | ||||
\(178\) | −0.471276 | −0.0353236 | ||||||||
\(179\) | 12.2155 | − | 11.3343i | 0.913029 | − | 0.847167i | −0.0756622 | − | 0.997134i | \(-0.524107\pi\) |
0.988691 | + | 0.149966i | \(0.0479166\pi\) | |||||||
\(180\) | 3.44056 | + | 42.0746i | 0.256445 | + | 3.13605i | ||||
\(181\) | −10.0372 | + | 12.5862i | −0.746058 | + | 0.935527i | −0.999493 | − | 0.0318256i | \(-0.989868\pi\) |
0.253436 | + | 0.967352i | \(0.418439\pi\) | |||||||
\(182\) | −13.1522 | + | 38.0759i | −0.974909 | + | 2.82237i | ||||
\(183\) | 1.26631 | + | 8.21213i | 0.0936087 | + | 0.607058i | ||||
\(184\) | 3.53615 | + | 15.4929i | 0.260688 | + | 1.14215i | ||||
\(185\) | 37.4791 | − | 5.64906i | 2.75552 | − | 0.415327i | ||||
\(186\) | −20.3789 | + | 1.59680i | −1.49425 | + | 0.117083i | ||||
\(187\) | 6.60596 | + | 0.995688i | 0.483076 | + | 0.0728119i | ||||
\(188\) | 30.5224 | − | 14.6988i | 2.22608 | − | 1.07202i | ||||
\(189\) | −2.74736 | − | 13.4704i | −0.199841 | − | 0.979828i | ||||
\(190\) | −1.57334 | − | 0.757680i | −0.114142 | − | 0.0549679i | ||||
\(191\) | −6.78769 | − | 4.62777i | −0.491140 | − | 0.334854i | 0.292294 | − | 0.956328i | \(-0.405581\pi\) |
−0.783434 | + | 0.621475i | \(0.786534\pi\) | |||||||
\(192\) | 5.51249 | + | 17.6579i | 0.397830 | + | 1.27435i | ||||
\(193\) | −0.108686 | + | 1.45031i | −0.00782336 | + | 0.104395i | −0.999748 | − | 0.0224299i | \(-0.992860\pi\) |
0.991925 | + | 0.126825i | \(0.0404788\pi\) | |||||||
\(194\) | 0.410665 | + | 0.514958i | 0.0294840 | + | 0.0369718i | ||||
\(195\) | −36.0700 | − | 20.6620i | −2.58302 | − | 1.47964i | ||||
\(196\) | 26.0174 | − | 2.15962i | 1.85838 | − | 0.154259i | ||||
\(197\) | 15.1098 | 1.07653 | 0.538264 | − | 0.842776i | \(-0.319080\pi\) | ||||
0.538264 | + | 0.842776i | \(0.319080\pi\) | |||||||
\(198\) | −14.8337 | − | 18.3438i | −1.05418 | − | 1.30364i | ||||
\(199\) | 15.7996 | + | 10.7720i | 1.12000 | + | 0.763605i | 0.974195 | − | 0.225708i | \(-0.0724694\pi\) |
0.145808 | + | 0.989313i | \(0.453422\pi\) | |||||||
\(200\) | 8.50813 | − | 37.2765i | 0.601615 | − | 2.63585i | ||||
\(201\) | −4.38414 | − | 9.02523i | −0.309233 | − | 0.636590i | ||||
\(202\) | 0.639216 | + | 8.52974i | 0.0449751 | + | 0.600150i | ||||
\(203\) | −0.210226 | − | 1.80090i | −0.0147550 | − | 0.126398i | ||||
\(204\) | 7.36293 | − | 10.8786i | 0.515508 | − | 0.761656i | ||||
\(205\) | 10.9548 | + | 1.65117i | 0.765116 | + | 0.115323i | ||||
\(206\) | −1.88503 | − | 25.1539i | −0.131336 | − | 1.75256i | ||||
\(207\) | 11.3751 | − | 1.79361i | 0.790624 | − | 0.124665i | ||||
\(208\) | 14.8944 | + | 4.59433i | 1.03274 | + | 0.318559i | ||||
\(209\) | 0.628129 | − | 0.0946753i | 0.0434486 | − | 0.00654883i | ||||
\(210\) | −4.32918 | + | 41.1595i | −0.298742 | + | 2.84028i | ||||
\(211\) | 6.53252 | + | 0.984619i | 0.449717 | + | 0.0677839i | 0.369996 | − | 0.929033i | \(-0.379359\pi\) |
0.0797209 | + | 0.996817i | \(0.474597\pi\) | |||||||
\(212\) | 31.5515 | + | 15.1944i | 2.16697 | + | 1.04356i | ||||
\(213\) | 9.77052 | + | 10.4587i | 0.669465 | + | 0.716616i | ||||
\(214\) | −20.5432 | −1.40431 | ||||||||
\(215\) | 13.9972 | − | 24.2438i | 0.954598 | − | 1.65341i | ||||
\(216\) | −20.9225 | + | 5.00021i | −1.42360 | + | 0.340221i | ||||
\(217\) | −12.9686 | − | 1.40858i | −0.880363 | − | 0.0956208i | ||||
\(218\) | 9.92553 | + | 9.20954i | 0.672241 | + | 0.623749i | ||||
\(219\) | 18.6945 | − | 20.2856i | 1.26325 | − | 1.37077i | ||||
\(220\) | 16.8892 | + | 43.0329i | 1.13867 | + | 2.90128i | ||||
\(221\) | 4.72569 | + | 12.0409i | 0.317884 | + | 0.809956i | ||||
\(222\) | 12.4112 | + | 39.7561i | 0.832982 | + | 2.66826i | ||||
\(223\) | −8.98397 | − | 8.33591i | −0.601611 | − | 0.558214i | 0.319464 | − | 0.947598i | \(-0.396497\pi\) |
−0.921075 | + | 0.389385i | \(0.872688\pi\) | |||||||
\(224\) | 0.740652 | + | 6.34476i | 0.0494869 | + | 0.423927i | ||||
\(225\) | −26.5310 | − | 7.98681i | −1.76873 | − | 0.532454i | ||||
\(226\) | 12.7712 | − | 22.1204i | 0.849530 | − | 1.47143i | ||||
\(227\) | 20.3731 | 1.35221 | 0.676105 | − | 0.736806i | \(-0.263667\pi\) | ||||
0.676105 | + | 0.736806i | \(0.263667\pi\) | |||||||
\(228\) | 0.364109 | − | 1.19480i | 0.0241137 | − | 0.0791277i | ||||
\(229\) | −16.3265 | − | 7.86241i | −1.07888 | − | 0.519563i | −0.191924 | − | 0.981410i | \(-0.561473\pi\) |
−0.886960 | + | 0.461847i | \(0.847187\pi\) | |||||||
\(230\) | −34.2798 | − | 5.16685i | −2.26034 | − | 0.340692i | ||||
\(231\) | −7.13298 | − | 13.2577i | −0.469316 | − | 0.872292i | ||||
\(232\) | −2.80539 | + | 0.422845i | −0.184183 | + | 0.0277611i | ||||
\(233\) | −18.6486 | − | 5.75232i | −1.22171 | − | 0.376847i | −0.384189 | − | 0.923255i | \(-0.625519\pi\) |
−0.837519 | + | 0.546408i | \(0.815995\pi\) | |||||||
\(234\) | 16.3986 | − | 42.6320i | 1.07201 | − | 2.78694i | ||||
\(235\) | 2.56117 | + | 34.1764i | 0.167072 | + | 2.22942i | ||||
\(236\) | −4.71095 | − | 0.710061i | −0.306657 | − | 0.0462211i | ||||
\(237\) | 9.13058 | + | 0.653070i | 0.593095 | + | 0.0424215i | ||||
\(238\) | 9.06976 | − | 9.14277i | 0.587905 | − | 0.592638i | ||||
\(239\) | 0.936625 | + | 12.4984i | 0.0605852 | + | 0.808453i | 0.941893 | + | 0.335912i | \(0.109044\pi\) |
−0.881308 | + | 0.472542i | \(0.843337\pi\) | |||||||
\(240\) | 15.9730 | + | 1.14248i | 1.03105 | + | 0.0737465i | ||||
\(241\) | 2.73473 | − | 11.9817i | 0.176160 | − | 0.771806i | −0.807221 | − | 0.590250i | \(-0.799029\pi\) |
0.983381 | − | 0.181557i | \(-0.0581135\pi\) | |||||||
\(242\) | 0.410056 | + | 0.279571i | 0.0263594 | + | 0.0179715i | ||||
\(243\) | 2.58471 | + | 15.3727i | 0.165809 | + | 0.986158i | ||||
\(244\) | 17.8918 | 1.14541 | ||||||||
\(245\) | −7.58224 | + | 25.2994i | −0.484411 | + | 1.61632i | ||||
\(246\) | 0.0413386 | + | 12.1734i | 0.00263566 | + | 0.776146i | ||||
\(247\) | 0.766848 | + | 0.961597i | 0.0487934 | + | 0.0611849i | ||||
\(248\) | −1.52538 | + | 20.3548i | −0.0968617 | + | 1.29253i | ||||
\(249\) | 0.513402 | + | 0.115348i | 0.0325355 | + | 0.00730987i | ||||
\(250\) | 31.6068 | + | 21.5492i | 1.99899 | + | 1.36289i | ||||
\(251\) | 16.1735 | + | 7.78872i | 1.02086 | + | 0.491620i | 0.867966 | − | 0.496623i | \(-0.165427\pi\) |
0.152893 | + | 0.988243i | \(0.451141\pi\) | |||||||
\(252\) | −29.5680 | + | 1.42629i | −1.86261 | + | 0.0898477i | ||||
\(253\) | 11.3616 | − | 5.47148i | 0.714300 | − | 0.343989i | ||||
\(254\) | 40.8480 | + | 6.15685i | 2.56303 | + | 0.386315i | ||||
\(255\) | 7.52333 | + | 10.9546i | 0.471129 | + | 0.686003i | ||||
\(256\) | 27.9576 | − | 4.21393i | 1.74735 | − | 0.263371i | ||||
\(257\) | −6.00830 | − | 26.3241i | −0.374787 | − | 1.64205i | −0.713133 | − | 0.701028i | \(-0.752725\pi\) |
0.338346 | − | 0.941022i | \(-0.390133\pi\) | |||||||
\(258\) | 28.6727 | + | 11.1410i | 1.78508 | + | 0.693607i | ||||
\(259\) | 3.08167 | + | 26.3990i | 0.191486 | + | 1.64035i | ||||
\(260\) | −55.8074 | + | 69.9803i | −3.46103 | + | 4.34000i | ||||
\(261\) | 0.167557 | + | 2.04905i | 0.0103715 | + | 0.126833i | ||||
\(262\) | 16.2374 | − | 15.0661i | 1.00315 | − | 0.930789i | ||||
\(263\) | 4.52204 | 0.278841 | 0.139420 | − | 0.990233i | \(-0.455476\pi\) | ||||
0.139420 | + | 0.990233i | \(0.455476\pi\) | |||||||
\(264\) | −20.3608 | + | 11.8477i | −1.25312 | + | 0.729173i | ||||
\(265\) | −25.9704 | + | 24.0970i | −1.59535 | + | 1.48027i | ||||
\(266\) | 0.567843 | − | 1.08492i | 0.0348167 | − | 0.0665206i | ||||
\(267\) | 0.332722 | + | 0.0747539i | 0.0203623 | + | 0.00457487i | ||||
\(268\) | −20.6453 | + | 6.36823i | −1.26111 | + | 0.389002i | ||||
\(269\) | 1.44752 | + | 0.218178i | 0.0882567 | + | 0.0133025i | 0.193022 | − | 0.981194i | \(-0.438171\pi\) |
−0.104765 | + | 0.994497i | \(0.533409\pi\) | |||||||
\(270\) | 6.52116 | − | 46.4726i | 0.396865 | − | 2.82824i | ||||
\(271\) | 9.88116 | + | 9.16838i | 0.600238 | + | 0.556939i | 0.920675 | − | 0.390330i | \(-0.127639\pi\) |
−0.320437 | + | 0.947270i | \(0.603830\pi\) | |||||||
\(272\) | −3.65282 | − | 3.38932i | −0.221484 | − | 0.205508i | ||||
\(273\) | 15.3251 | − | 24.7955i | 0.927519 | − | 1.50069i | ||||
\(274\) | 5.76007 | − | 5.34456i | 0.347978 | − | 0.322877i | ||||
\(275\) | −30.3413 | −1.82965 | ||||||||
\(276\) | −0.0842027 | − | 24.7960i | −0.00506841 | − | 1.49254i | ||||
\(277\) | −0.0228029 | − | 0.0999061i | −0.00137009 | − | 0.00600278i | 0.974238 | − | 0.225521i | \(-0.0724085\pi\) |
−0.975608 | + | 0.219518i | \(0.929551\pi\) | |||||||
\(278\) | 5.34134 | − | 3.64167i | 0.320352 | − | 0.218413i | ||||
\(279\) | 14.6409 | + | 2.10516i | 0.876526 | + | 0.126033i | ||||
\(280\) | 39.9612 | + | 10.5361i | 2.38814 | + | 0.629649i | ||||
\(281\) | −5.16622 | + | 0.778682i | −0.308191 | + | 0.0464523i | −0.301317 | − | 0.953524i | \(-0.597426\pi\) |
−0.00687400 | + | 0.999976i | \(0.502188\pi\) | |||||||
\(282\) | −36.6865 | + | 8.50464i | −2.18465 | + | 0.506444i | ||||
\(283\) | −17.7139 | + | 2.66995i | −1.05298 | + | 0.158712i | −0.652652 | − | 0.757658i | \(-0.726343\pi\) |
−0.400332 | + | 0.916370i | \(0.631105\pi\) | |||||||
\(284\) | 25.4634 | − | 17.3606i | 1.51097 | − | 1.03016i | ||||
\(285\) | 0.990600 | + | 0.784488i | 0.0586781 | + | 0.0464691i | ||||
\(286\) | 3.73798 | − | 49.8799i | 0.221031 | − | 2.94946i | ||||
\(287\) | −1.41366 | + | 7.63888i | −0.0834457 | + | 0.450909i | ||||
\(288\) | −0.590322 | − | 7.21904i | −0.0347851 | − | 0.425386i | ||||
\(289\) | −0.961386 | + | 12.8288i | −0.0565521 | + | 0.754635i | ||||
\(290\) | 1.37721 | − | 6.03394i | 0.0808724 | − | 0.354325i | ||||
\(291\) | −0.208248 | − | 0.428702i | −0.0122077 | − | 0.0251309i | ||||
\(292\) | −37.0351 | − | 46.4405i | −2.16732 | − | 2.71773i | ||||
\(293\) | 3.89991 | + | 6.75484i | 0.227835 | + | 0.394622i | 0.957166 | − | 0.289539i | \(-0.0935020\pi\) |
−0.729331 | + | 0.684161i | \(0.760169\pi\) | |||||||
\(294\) | −28.7448 | − | 3.99762i | −1.67643 | − | 0.233146i | ||||
\(295\) | 2.40985 | − | 4.17398i | 0.140307 | − | 0.243018i | ||||
\(296\) | 41.1237 | − | 6.19840i | 2.39027 | − | 0.360275i | ||||
\(297\) | 7.56291 | + | 15.3037i | 0.438844 | + | 0.888013i | ||||
\(298\) | 16.1458 | − | 4.98033i | 0.935303 | − | 0.288503i | ||||
\(299\) | 20.1739 | + | 13.7543i | 1.16669 | + | 0.795433i | ||||
\(300\) | −25.7030 | + | 53.8399i | −1.48397 | + | 3.10845i | ||||
\(301\) | 16.6633 | + | 10.3773i | 0.960455 | + | 0.598137i | ||||
\(302\) | −31.0306 | − | 21.1563i | −1.78561 | − | 1.21741i | ||||
\(303\) | 0.901701 | − | 6.12342i | 0.0518014 | − | 0.351781i | ||||
\(304\) | −0.426890 | − | 0.205579i | −0.0244838 | − | 0.0117908i | ||||
\(305\) | −6.61281 | + | 16.8492i | −0.378648 | + | 0.964780i | ||||
\(306\) | −10.6368 | + | 10.0048i | −0.608064 | + | 0.571935i | ||||
\(307\) | −14.9309 | − | 18.7228i | −0.852152 | − | 1.06856i | −0.996867 | − | 0.0790910i | \(-0.974798\pi\) |
0.144716 | − | 0.989473i | \(-0.453773\pi\) | |||||||
\(308\) | −30.5545 | + | 10.8291i | −1.74100 | + | 0.617048i | ||||
\(309\) | −2.65909 | + | 18.0578i | −0.151270 | + | 1.02727i | ||||
\(310\) | −40.1189 | − | 19.3202i | −2.27860 | − | 1.09732i | ||||
\(311\) | 3.69741 | + | 1.14050i | 0.209661 | + | 0.0646718i | 0.397806 | − | 0.917469i | \(-0.369772\pi\) |
−0.188146 | + | 0.982141i | \(0.560248\pi\) | |||||||
\(312\) | −39.5776 | − | 22.6713i | −2.24064 | − | 1.28351i | ||||
\(313\) | 2.86242 | + | 4.95785i | 0.161793 | + | 0.280234i | 0.935512 | − | 0.353295i | \(-0.114939\pi\) |
−0.773718 | + | 0.633530i | \(0.781605\pi\) | |||||||
\(314\) | −5.40522 | − | 23.6818i | −0.305034 | − | 1.33644i | ||||
\(315\) | 9.58515 | − | 28.3721i | 0.540062 | − | 1.59858i | ||||
\(316\) | 4.38604 | − | 19.2165i | 0.246734 | − | 1.08101i | ||||
\(317\) | 20.6790 | − | 6.37863i | 1.16145 | − | 0.358259i | 0.346645 | − | 0.937996i | \(-0.387321\pi\) |
0.814804 | + | 0.579737i | \(0.196845\pi\) | |||||||
\(318\) | −30.5183 | − | 24.1684i | −1.71138 | − | 1.35530i | ||||
\(319\) | 0.822511 | + | 2.09572i | 0.0460518 | + | 0.117338i | ||||
\(320\) | −8.96672 | + | 39.2858i | −0.501255 | + | 2.19614i | ||||
\(321\) | 14.5036 | + | 3.25857i | 0.809511 | + | 0.181876i | ||||
\(322\) | 4.42363 | − | 23.9036i | 0.246519 | − | 1.33210i | ||||
\(323\) | −0.0874950 | − | 0.383341i | −0.00486835 | − | 0.0213296i | ||||
\(324\) | 33.5628 | − | 0.455920i | 1.86460 | − | 0.0253289i | ||||
\(325\) | −29.3736 | − | 50.8766i | −1.62935 | − | 2.82212i | ||||
\(326\) | −0.982061 | − | 4.30269i | −0.0543914 | − | 0.238304i | ||||
\(327\) | −5.54664 | − | 8.07636i | −0.306730 | − | 0.446624i | ||||
\(328\) | 12.0201 | + | 1.81174i | 0.663699 | + | 0.100036i | ||||
\(329\) | −24.0121 | + | 0.994874i | −1.32383 | + | 0.0548492i | ||||
\(330\) | −7.83173 | − | 50.7892i | −0.431122 | − | 2.79586i | ||||
\(331\) | 7.15835 | − | 6.64198i | 0.393459 | − | 0.365076i | −0.458492 | − | 0.888699i | \(-0.651610\pi\) |
0.851950 | + | 0.523622i | \(0.175420\pi\) | |||||||
\(332\) | 0.413947 | − | 1.05472i | 0.0227183 | − | 0.0578853i | ||||
\(333\) | −2.45619 | − | 30.0366i | −0.134598 | − | 1.64600i | ||||
\(334\) | −3.72736 | − | 9.49716i | −0.203952 | − | 0.519661i | ||||
\(335\) | 1.63338 | − | 21.7959i | 0.0892408 | − | 1.19084i | ||||
\(336\) | −1.17463 | + | 11.1677i | −0.0640811 | + | 0.609248i | ||||
\(337\) | 1.97003 | + | 26.2882i | 0.107314 | + | 1.43201i | 0.747741 | + | 0.663990i | \(0.231138\pi\) |
−0.640427 | + | 0.768019i | \(0.721243\pi\) | |||||||
\(338\) | 59.2219 | − | 28.5198i | 3.22125 | − | 1.55127i | ||||
\(339\) | −12.5253 | + | 13.5913i | −0.680280 | + | 0.738180i | ||||
\(340\) | 25.7813 | − | 12.4156i | 1.39819 | − | 0.673332i | ||||
\(341\) | 16.0168 | − | 2.41414i | 0.867358 | − | 0.130733i | ||||
\(342\) | −0.686065 | + | 1.20716i | −0.0370981 | + | 0.0652757i | ||||
\(343\) | −17.5533 | − | 5.90619i | −0.947787 | − | 0.318904i | ||||
\(344\) | 15.3583 | − | 26.6014i | 0.828065 | − | 1.43425i | ||||
\(345\) | 23.3821 | + | 9.08529i | 1.25885 | + | 0.489136i | ||||
\(346\) | 1.54204 | − | 20.5771i | 0.0829007 | − | 1.10623i | ||||
\(347\) | −0.414971 | − | 0.385037i | −0.0222768 | − | 0.0206699i | 0.668956 | − | 0.743302i | \(-0.266742\pi\) |
−0.691233 | + | 0.722632i | \(0.742932\pi\) | |||||||
\(348\) | 4.41558 | + | 0.315827i | 0.236700 | + | 0.0169301i | ||||
\(349\) | 21.7480 | − | 14.8276i | 1.16415 | − | 0.793701i | 0.182274 | − | 0.983248i | \(-0.441654\pi\) |
0.981872 | + | 0.189547i | \(0.0607019\pi\) | |||||||
\(350\) | −34.5434 | + | 47.1995i | −1.84642 | + | 2.52292i | ||||
\(351\) | −18.3397 | + | 27.4972i | −0.978903 | + | 1.46769i | ||||
\(352\) | −2.89780 | − | 7.38347i | −0.154453 | − | 0.393540i | ||||
\(353\) | −28.7314 | − | 13.8363i | −1.52922 | − | 0.736433i | −0.535106 | − | 0.844785i | \(-0.679728\pi\) |
−0.994113 | + | 0.108353i | \(0.965442\pi\) | |||||||
\(354\) | 4.93648 | + | 1.91811i | 0.262371 | + | 0.101946i | ||||
\(355\) | 6.93768 | + | 30.3960i | 0.368214 | + | 1.61325i | ||||
\(356\) | 0.268269 | − | 0.683537i | 0.0142182 | − | 0.0362274i | ||||
\(357\) | −7.85351 | + | 5.01618i | −0.415652 | + | 0.265484i | ||||
\(358\) | 14.5725 | + | 37.1302i | 0.770182 | + | 1.96239i | ||||
\(359\) | 3.79107 | − | 2.58470i | 0.200085 | − | 0.136415i | −0.459133 | − | 0.888368i | \(-0.651840\pi\) |
0.659218 | + | 0.751952i | \(0.270888\pi\) | |||||||
\(360\) | −44.8711 | − | 13.5078i | −2.36491 | − | 0.711926i | ||||
\(361\) | 9.48131 | + | 16.4221i | 0.499016 | + | 0.864321i | ||||
\(362\) | −19.2669 | − | 33.3713i | −1.01265 | − | 1.75396i | ||||
\(363\) | −0.245155 | − | 0.262422i | −0.0128673 | − | 0.0137736i | ||||
\(364\) | −47.7384 | − | 40.7502i | −2.50217 | − | 2.13589i | ||||
\(365\) | 57.4224 | − | 17.7125i | 3.00562 | − | 0.927112i | ||||
\(366\) | −19.4055 | − | 4.35991i | −1.01434 | − | 0.227896i | ||||
\(367\) | −7.31022 | + | 9.16673i | −0.381590 | + | 0.478499i | −0.935120 | − | 0.354330i | \(-0.884709\pi\) |
0.553530 | + | 0.832829i | \(0.313280\pi\) | |||||||
\(368\) | −9.30106 | − | 1.40191i | −0.484851 | − | 0.0730795i | ||||
\(369\) | 1.90176 | − | 8.60101i | 0.0990017 | − | 0.447750i | ||||
\(370\) | −20.1882 | + | 88.4503i | −1.04954 | + | 4.59831i | ||||
\(371\) | −16.2801 | − | 18.7651i | −0.845220 | − | 0.974237i | ||||
\(372\) | 9.28448 | − | 30.4665i | 0.481378 | − | 1.57961i | ||||
\(373\) | 0.833911 | 0.0431783 | 0.0215891 | − | 0.999767i | \(-0.493127\pi\) | ||||
0.0215891 | + | 0.999767i | \(0.493127\pi\) | |||||||
\(374\) | −7.99547 | + | 13.8486i | −0.413436 | + | 0.716092i | ||||
\(375\) | −18.8964 | − | 20.2273i | −0.975806 | − | 1.04453i | ||||
\(376\) | 2.81023 | + | 37.4999i | 0.144926 | + | 1.93391i | ||||
\(377\) | −2.71785 | + | 3.40807i | −0.139976 | + | 0.175525i | ||||
\(378\) | 32.4171 | + | 5.65822i | 1.66736 | + | 0.291028i | ||||
\(379\) | −3.94363 | − | 4.94516i | −0.202571 | − | 0.254016i | 0.670161 | − | 0.742216i | \(-0.266225\pi\) |
−0.872732 | + | 0.488200i | \(0.837654\pi\) | |||||||
\(380\) | 1.99454 | − | 1.85067i | 0.102318 | − | 0.0949371i | ||||
\(381\) | −27.8623 | − | 10.8261i | −1.42743 | − | 0.554637i | ||||
\(382\) | 16.2473 | − | 11.0772i | 0.831286 | − | 0.566761i | ||||
\(383\) | −18.7623 | + | 23.5272i | −0.958710 | + | 1.20218i | 0.0205938 | + | 0.999788i | \(0.493444\pi\) |
−0.979304 | + | 0.202396i | \(0.935127\pi\) | |||||||
\(384\) | −35.8234 | − | 2.56229i | −1.82811 | − | 0.130756i | ||||
\(385\) | 1.09485 | − | 32.7764i | 0.0557987 | − | 1.67044i | ||||
\(386\) | −3.13651 | − | 1.51046i | −0.159644 | − | 0.0768805i | ||||
\(387\) | −18.4758 | − | 12.4136i | −0.939178 | − | 0.631020i | ||||
\(388\) | −0.980659 | + | 0.302493i | −0.0497854 | + | 0.0153568i | ||||
\(389\) | 29.3510 | − | 14.1347i | 1.48816 | − | 0.716658i | 0.499424 | − | 0.866358i | \(-0.333545\pi\) |
0.988732 | + | 0.149700i | \(0.0478306\pi\) | |||||||
\(390\) | 77.5819 | − | 62.3017i | 3.92851 | − | 3.15477i | ||||
\(391\) | −3.90289 | − | 6.76000i | −0.197378 | − | 0.341868i | ||||
\(392\) | −8.31957 | + | 27.7596i | −0.420202 | + | 1.40207i | ||||
\(393\) | −13.8535 | + | 8.06116i | −0.698815 | + | 0.406632i | ||||
\(394\) | −13.2135 | + | 33.6674i | −0.665685 | + | 1.69614i | ||||
\(395\) | 16.4756 | + | 11.2329i | 0.828977 | + | 0.565187i | ||||
\(396\) | 35.0497 | − | 11.0727i | 1.76132 | − | 0.556422i | ||||
\(397\) | 0.918945 | − | 12.2625i | 0.0461205 | − | 0.615435i | −0.925478 | − | 0.378801i | \(-0.876337\pi\) |
0.971599 | − | 0.236635i | \(-0.0760444\pi\) | |||||||
\(398\) | −37.8187 | + | 25.7843i | −1.89568 | + | 1.29245i | ||||
\(399\) | −0.572989 | + | 0.675884i | −0.0286854 | + | 0.0338365i | ||||
\(400\) | 18.6990 | + | 12.7488i | 0.934952 | + | 0.637439i | ||||
\(401\) | −17.0177 | + | 21.3395i | −0.849824 | + | 1.06565i | 0.147242 | + | 0.989100i | \(0.452960\pi\) |
−0.997066 | + | 0.0765448i | \(0.975611\pi\) | |||||||
\(402\) | 23.9438 | − | 1.87612i | 1.19421 | − | 0.0935726i | ||||
\(403\) | 19.5540 | + | 24.5200i | 0.974055 | + | 1.22143i | ||||
\(404\) | −12.7354 | − | 3.92834i | −0.633609 | − | 0.195442i | ||||
\(405\) | −11.9755 | + | 31.7755i | −0.595066 | + | 1.57894i | ||||
\(406\) | 4.19657 | + | 1.10646i | 0.208272 | + | 0.0549125i | ||||
\(407\) | −12.0570 | − | 30.7208i | −0.597644 | − | 1.52277i | ||||
\(408\) | 8.25494 | + | 12.0199i | 0.408680 | + | 0.595072i | ||||
\(409\) | 5.24217 | + | 1.61700i | 0.259209 | + | 0.0799553i | 0.421636 | − | 0.906765i | \(-0.361456\pi\) |
−0.162427 | + | 0.986721i | \(0.551932\pi\) | |||||||
\(410\) | −13.2591 | + | 22.9654i | −0.654818 | + | 1.13418i | ||||
\(411\) | −4.91439 | + | 2.85962i | −0.242409 | + | 0.141054i | ||||
\(412\) | 37.5562 | + | 11.5846i | 1.85026 | + | 0.570730i | ||||
\(413\) | 2.86886 | + | 1.78663i | 0.141168 | + | 0.0879142i | ||||
\(414\) | −5.95100 | + | 26.9143i | −0.292476 | + | 1.32277i | ||||
\(415\) | 0.840261 | + | 0.779648i | 0.0412468 | + | 0.0382714i | ||||
\(416\) | 9.57529 | − | 12.0070i | 0.469467 | − | 0.588693i | ||||
\(417\) | −4.34865 | + | 1.72378i | −0.212954 | + | 0.0844140i | ||||
\(418\) | −0.338344 | + | 1.48238i | −0.0165489 | + | 0.0725056i | ||||
\(419\) | 6.72277 | − | 2.07370i | 0.328429 | − | 0.101307i | −0.126156 | − | 0.992010i | \(-0.540264\pi\) |
0.454585 | + | 0.890704i | \(0.349788\pi\) | |||||||
\(420\) | −57.2333 | − | 29.7086i | −2.79270 | − | 1.44963i | ||||
\(421\) | 19.9615 | + | 6.15731i | 0.972865 | + | 0.300089i | 0.740139 | − | 0.672454i | \(-0.234760\pi\) |
0.232725 | + | 0.972543i | \(0.425236\pi\) | |||||||
\(422\) | −7.90658 | + | 13.6946i | −0.384886 | + | 0.666643i | ||||
\(423\) | 27.2498 | − | 0.185073i | 1.32493 | − | 0.00899858i | ||||
\(424\) | −28.4958 | + | 26.4403i | −1.38388 | + | 1.28405i | ||||
\(425\) | 1.40351 | + | 18.7285i | 0.0680802 | + | 0.908467i | ||||
\(426\) | −31.8481 | + | 12.6244i | −1.54305 | + | 0.611656i | ||||
\(427\) | −11.6537 | − | 5.02895i | −0.563963 | − | 0.243368i | ||||
\(428\) | 11.6940 | − | 29.7958i | 0.565251 | − | 1.44024i | ||||
\(429\) | −10.5510 | + | 34.6225i | −0.509407 | + | 1.67159i | ||||
\(430\) | 41.7791 | + | 52.3894i | 2.01477 | + | 2.52644i | ||||
\(431\) | 0.166170 | + | 2.21739i | 0.00800413 | + | 0.106808i | 0.999775 | − | 0.0212190i | \(-0.00675472\pi\) |
−0.991771 | + | 0.128027i | \(0.959136\pi\) | |||||||
\(432\) | 1.76937 | − | 12.6093i | 0.0851288 | − | 0.606666i | ||||
\(433\) | 32.5308 | − | 15.6660i | 1.56333 | − | 0.752860i | 0.565898 | − | 0.824476i | \(-0.308530\pi\) |
0.997432 | + | 0.0716155i | \(0.0228155\pi\) | |||||||
\(434\) | 14.4796 | − | 27.6645i | 0.695041 | − | 1.32794i | ||||
\(435\) | −1.92942 | + | 4.04153i | −0.0925086 | + | 0.193777i | ||||
\(436\) | −19.0075 | + | 9.15352i | −0.910293 | + | 0.438374i | ||||
\(437\) | −0.544082 | − | 0.504834i | −0.0260270 | − | 0.0241495i | ||||
\(438\) | 28.8517 | + | 59.3944i | 1.37859 | + | 2.83797i | ||||
\(439\) | −2.84816 | + | 7.25699i | −0.135935 | + | 0.346357i | −0.982591 | − | 0.185784i | \(-0.940517\pi\) |
0.846655 | + | 0.532142i | \(0.178613\pi\) | |||||||
\(440\) | −51.3153 | −2.44636 | ||||||||
\(441\) | 19.6598 | + | 7.38184i | 0.936182 | + | 0.351516i | ||||
\(442\) | −30.9618 | −1.47270 | ||||||||
\(443\) | −10.5213 | + | 26.8078i | −0.499882 | + | 1.27368i | 0.429000 | + | 0.903304i | \(0.358866\pi\) |
−0.928882 | + | 0.370375i | \(0.879229\pi\) | |||||||
\(444\) | −64.7271 | − | 4.62965i | −3.07181 | − | 0.219713i | ||||
\(445\) | 0.544552 | + | 0.505270i | 0.0258142 | + | 0.0239521i | ||||
\(446\) | 26.4304 | − | 12.7282i | 1.25152 | − | 0.602698i | ||||
\(447\) | −12.1890 | + | 0.955074i | −0.576520 | + | 0.0451735i | ||||
\(448\) | −27.3230 | − | 7.20391i | −1.29089 | − | 0.340353i | ||||
\(449\) | 15.1536 | − | 7.29758i | 0.715142 | − | 0.344394i | −0.0406791 | − | 0.999172i | \(-0.512952\pi\) |
0.755821 | + | 0.654778i | \(0.227238\pi\) | |||||||
\(450\) | 40.9974 | − | 52.1315i | 1.93264 | − | 2.45750i | ||||
\(451\) | −0.720863 | − | 9.61925i | −0.0339441 | − | 0.452953i | ||||
\(452\) | 24.8135 | + | 31.1152i | 1.16713 | + | 1.46353i | ||||
\(453\) | 18.5519 | + | 19.8585i | 0.871644 | + | 0.933034i | ||||
\(454\) | −17.8162 | + | 45.3950i | −0.836157 | + | 2.13049i | ||||
\(455\) | 56.0196 | − | 29.8951i | 2.62624 | − | 1.40150i | ||||
\(456\) | 1.08693 | + | 0.860776i | 0.0509002 | + | 0.0403095i | ||||
\(457\) | −2.84646 | − | 37.9834i | −0.133152 | − | 1.77679i | −0.519533 | − | 0.854450i | \(-0.673894\pi\) |
0.386381 | − | 0.922339i | \(-0.373725\pi\) | |||||||
\(458\) | 31.7964 | − | 29.5027i | 1.48575 | − | 1.37857i | ||||
\(459\) | 9.09657 | − | 5.37620i | 0.424591 | − | 0.250940i | ||||
\(460\) | 27.0074 | − | 46.7782i | 1.25923 | − | 2.18104i | ||||
\(461\) | 18.6421 | + | 5.75032i | 0.868248 | + | 0.267819i | 0.696705 | − | 0.717358i | \(-0.254649\pi\) |
0.171543 | + | 0.985177i | \(0.445125\pi\) | |||||||
\(462\) | 35.7784 | − | 4.29977i | 1.66456 | − | 0.200043i | ||||
\(463\) | 6.94851 | − | 2.14333i | 0.322925 | − | 0.0996090i | −0.129055 | − | 0.991637i | \(-0.541194\pi\) |
0.451979 | + | 0.892028i | \(0.350718\pi\) | |||||||
\(464\) | 0.373674 | − | 1.63717i | 0.0173474 | − | 0.0760039i | ||||
\(465\) | 25.2595 | + | 20.0038i | 1.17138 | + | 0.927655i | ||||
\(466\) | 29.1254 | − | 36.5220i | 1.34921 | − | 1.69185i | ||||
\(467\) | −9.87389 | − | 9.16163i | −0.456909 | − | 0.423950i | 0.417844 | − | 0.908519i | \(-0.362786\pi\) |
−0.874753 | + | 0.484569i | \(0.838976\pi\) | |||||||
\(468\) | 52.4986 | + | 48.0522i | 2.42675 | + | 2.22121i | ||||
\(469\) | 15.2371 | + | 1.65498i | 0.703586 | + | 0.0764201i | ||||
\(470\) | −78.3910 | − | 24.1804i | −3.61591 | − | 1.11536i | ||||
\(471\) | 0.0596878 | + | 17.5768i | 0.00275027 | + | 0.809898i | ||||
\(472\) | 2.64419 | − | 4.57988i | 0.121709 | − | 0.210806i | ||||
\(473\) | −23.2921 | − | 7.18466i | −1.07097 | − | 0.330351i | ||||
\(474\) | −9.43983 | + | 19.7735i | −0.433586 | + | 0.908227i | ||||
\(475\) | 0.652426 | + | 1.66235i | 0.0299354 | + | 0.0762741i | ||||
\(476\) | 8.09778 | + | 18.3592i | 0.371161 | + | 0.841491i | ||||
\(477\) | 17.7124 | + | 21.9038i | 0.810995 | + | 1.00291i | ||||
\(478\) | −28.6678 | − | 8.84284i | −1.31123 | − | 0.404462i | ||||
\(479\) | 12.2559 | + | 15.3685i | 0.559988 | + | 0.702203i | 0.978556 | − | 0.205983i | \(-0.0660391\pi\) |
−0.418567 | + | 0.908186i | \(0.637468\pi\) | |||||||
\(480\) | 6.79756 | − | 14.2388i | 0.310265 | − | 0.649908i | ||||
\(481\) | 39.8404 | − | 49.9583i | 1.81657 | − | 2.27790i | ||||
\(482\) | 24.3058 | + | 16.5714i | 1.10710 | + | 0.754807i | ||||
\(483\) | −6.91470 | + | 16.1744i | −0.314630 | + | 0.735959i | ||||
\(484\) | −0.638909 | + | 0.435601i | −0.0290413 | + | 0.0198000i | ||||
\(485\) | 0.0775860 | − | 1.03531i | 0.00352300 | − | 0.0470111i | ||||
\(486\) | −36.5135 | − | 7.68416i | −1.65629 | − | 0.348560i | ||||
\(487\) | −17.3082 | − | 11.8005i | −0.784307 | − | 0.534732i | 0.103674 | − | 0.994611i | \(-0.466940\pi\) |
−0.887981 | + | 0.459880i | \(0.847893\pi\) | |||||||
\(488\) | −7.25587 | + | 18.4877i | −0.328458 | + | 0.836897i | ||||
\(489\) | 0.0108445 | + | 3.19349i | 0.000490407 | + | 0.144415i | ||||
\(490\) | −49.7410 | − | 39.0189i | −2.24707 | − | 1.76269i | ||||
\(491\) | −20.4187 | − | 35.3663i | −0.921484 | − | 1.59606i | −0.797121 | − | 0.603820i | \(-0.793645\pi\) |
−0.124363 | − | 0.992237i | \(-0.539689\pi\) | |||||||
\(492\) | −17.6798 | − | 6.86960i | −0.797065 | − | 0.309706i | ||||
\(493\) | 1.25556 | − | 0.604647i | 0.0565477 | − | 0.0272319i | ||||
\(494\) | −2.81322 | + | 0.867764i | −0.126573 | + | 0.0390425i | ||||
\(495\) | −2.52698 | + | 37.0997i | −0.113579 | + | 1.66751i | ||||
\(496\) | −10.8854 | − | 5.24211i | −0.488767 | − | 0.235378i | ||||
\(497\) | −21.4651 | + | 4.15060i | −0.962839 | + | 0.186180i | ||||
\(498\) | −0.705984 | + | 1.04308i | −0.0316359 | + | 0.0467416i | ||||
\(499\) | −14.8062 | + | 18.5663i | −0.662815 | + | 0.831143i | −0.993646 | − | 0.112546i | \(-0.964099\pi\) |
0.330832 | + | 0.943690i | \(0.392671\pi\) | |||||||
\(500\) | −49.2467 | + | 33.5758i | −2.20238 | + | 1.50156i | ||||
\(501\) | 1.12509 | + | 7.29626i | 0.0502652 | + | 0.325973i | ||||
\(502\) | −31.4984 | + | 29.2262i | −1.40584 | + | 1.30443i | ||||
\(503\) | −16.6776 | − | 20.9131i | −0.743618 | − | 0.932467i | 0.255795 | − | 0.966731i | \(-0.417663\pi\) |
−0.999413 | + | 0.0342636i | \(0.989091\pi\) | |||||||
\(504\) | 10.5173 | − | 31.1311i | 0.468476 | − | 1.38669i | ||||
\(505\) | 8.40641 | − | 10.5413i | 0.374080 | − | 0.469082i | ||||
\(506\) | 2.25573 | + | 30.1006i | 0.100279 | + | 1.33814i | ||||
\(507\) | −46.3347 | + | 10.7413i | −2.05780 | + | 0.477036i | ||||
\(508\) | −32.1822 | + | 55.7411i | −1.42785 | + | 2.47311i | ||||
\(509\) | −16.4036 | −0.727079 | −0.363539 | − | 0.931579i | \(-0.618432\pi\) | ||||
−0.363539 | + | 0.931579i | \(0.618432\pi\) | |||||||
\(510\) | −30.9880 | + | 7.18360i | −1.37217 | + | 0.318095i | ||||
\(511\) | 11.0693 | + | 40.6584i | 0.489675 | + | 1.79862i | ||||
\(512\) | −5.83129 | + | 25.5485i | −0.257709 | + | 1.12910i | ||||
\(513\) | 0.675844 | − | 0.743435i | 0.0298393 | − | 0.0328235i | ||||
\(514\) | 63.9091 | + | 9.63275i | 2.81891 | + | 0.424882i | ||||
\(515\) | −24.7902 | + | 31.0860i | −1.09239 | + | 1.36981i | ||||
\(516\) | −32.4804 | + | 35.2449i | −1.42987 | + | 1.55157i | ||||
\(517\) | 28.5155 | − | 8.79586i | 1.25411 | − | 0.386842i | ||||
\(518\) | −61.5167 | − | 16.2193i | −2.70289 | − | 0.712636i | ||||
\(519\) | −4.35264 | + | 14.2829i | −0.191060 | + | 0.626951i | ||||
\(520\) | −49.6786 | − | 86.0459i | −2.17855 | − | 3.77336i | ||||
\(521\) | −5.94487 | − | 10.2968i | −0.260449 | − | 0.451112i | 0.705912 | − | 0.708300i | \(-0.250537\pi\) |
−0.966361 | + | 0.257188i | \(0.917204\pi\) | |||||||
\(522\) | −4.71219 | − | 1.41854i | −0.206247 | − | 0.0620879i | ||||
\(523\) | 24.9802 | − | 17.0312i | 1.09231 | − | 0.744722i | 0.123451 | − | 0.992351i | \(-0.460604\pi\) |
0.968855 | + | 0.247629i | \(0.0796514\pi\) | |||||||
\(524\) | 12.6089 | + | 32.1269i | 0.550822 | + | 1.40347i | ||||
\(525\) | 31.8746 | − | 27.8437i | 1.39112 | − | 1.21520i | ||||
\(526\) | −3.95451 | + | 10.0759i | −0.172425 | + | 0.439331i | ||||
\(527\) | −2.23105 | − | 9.77488i | −0.0971862 | − | 0.425801i | ||||
\(528\) | −2.12496 | − | 13.7805i | −0.0924771 | − | 0.599720i | ||||
\(529\) | 7.44701 | + | 3.58629i | 0.323783 | + | 0.155926i | ||||
\(530\) | −30.9815 | − | 78.9395i | −1.34575 | − | 3.42891i | ||||
\(531\) | −3.18092 | − | 2.13722i | −0.138040 | − | 0.0927473i | ||||
\(532\) | 1.25032 | + | 1.44118i | 0.0542084 | + | 0.0624829i | ||||
\(533\) | 15.4318 | − | 10.5212i | 0.668424 | − | 0.455723i | ||||
\(534\) | −0.457531 | + | 0.675995i | −0.0197993 | + | 0.0292532i | ||||
\(535\) | 23.7374 | + | 22.0251i | 1.02626 | + | 0.952226i | ||||
\(536\) | 1.79221 | − | 23.9154i | 0.0774118 | − | 1.03299i | ||||
\(537\) | −4.39865 | − | 28.5256i | −0.189816 | − | 1.23097i | ||||
\(538\) | −1.75199 | + | 3.03454i | −0.0755337 | + | 0.130828i | ||||
\(539\) | 22.9453 | + | 1.53462i | 0.988323 | + | 0.0661009i | ||||
\(540\) | 63.6917 | + | 35.9123i | 2.74085 | + | 1.54542i | ||||
\(541\) | −25.6730 | + | 3.86957i | −1.10377 | + | 0.166366i | −0.675553 | − | 0.737312i | \(-0.736095\pi\) |
−0.428214 | + | 0.903678i | \(0.640857\pi\) | |||||||
\(542\) | −29.0699 | + | 13.9993i | −1.24866 | + | 0.601322i | ||||
\(543\) | 8.30915 | + | 26.6164i | 0.356580 | + | 1.14222i | ||||
\(544\) | −4.42349 | + | 2.13024i | −0.189655 | + | 0.0913332i | ||||
\(545\) | −1.59494 | − | 21.2830i | −0.0683196 | − | 0.911662i | ||||
\(546\) | 41.8471 | + | 55.8308i | 1.79089 | + | 2.38934i | ||||
\(547\) | −1.68206 | + | 22.4455i | −0.0719196 | + | 0.959701i | 0.838202 | + | 0.545360i | \(0.183607\pi\) |
−0.910122 | + | 0.414341i | \(0.864012\pi\) | |||||||
\(548\) | 4.47288 | + | 11.3967i | 0.191072 | + | 0.486844i | ||||
\(549\) | 13.0088 | + | 6.15622i | 0.555202 | + | 0.262741i | ||||
\(550\) | 26.5334 | − | 67.6060i | 1.13139 | − | 2.88273i | ||||
\(551\) | 0.0971351 | − | 0.0901282i | 0.00413810 | − | 0.00383959i | ||||
\(552\) | 25.6559 | + | 9.96879i | 1.09199 | + | 0.424300i | ||||
\(553\) | −8.25811 | + | 11.2837i | −0.351171 | + | 0.479833i | ||||
\(554\) | 0.242550 | + | 0.0365586i | 0.0103050 | + | 0.00155322i | ||||
\(555\) | 28.2830 | − | 59.2440i | 1.20055 | − | 2.51477i | ||||
\(556\) | 2.24136 | + | 9.82004i | 0.0950549 | + | 0.416463i | ||||
\(557\) | 10.1835 | + | 17.6383i | 0.431489 | + | 0.747360i | 0.997002 | − | 0.0773791i | \(-0.0246552\pi\) |
−0.565513 | + | 0.824739i | \(0.691322\pi\) | |||||||
\(558\) | −17.4941 | + | 30.7816i | −0.740585 | + | 1.30309i | ||||
\(559\) | −10.5019 | − | 46.0119i | −0.444183 | − | 1.94609i | ||||
\(560\) | −14.4467 | + | 19.7397i | −0.610484 | + | 0.834154i | ||||
\(561\) | 7.84149 | − | 8.50889i | 0.331068 | − | 0.359246i | ||||
\(562\) | 2.78280 | − | 12.1922i | 0.117385 | − | 0.514299i | ||||
\(563\) | −12.0824 | − | 30.7855i | −0.509214 | − | 1.29746i | −0.922198 | − | 0.386717i | \(-0.873609\pi\) |
0.412985 | − | 0.910738i | \(-0.364486\pi\) | |||||||
\(564\) | 8.54831 | − | 58.0512i | 0.359949 | − | 2.44440i | ||||
\(565\) | −38.4730 | + | 11.8674i | −1.61857 | + | 0.499263i | ||||
\(566\) | 9.54166 | − | 41.8048i | 0.401066 | − | 1.75718i | ||||
\(567\) | −21.9891 | − | 9.13674i | −0.923455 | − | 0.383707i | ||||
\(568\) | 7.61233 | + | 33.3518i | 0.319406 | + | 1.39941i | ||||
\(569\) | −6.55672 | − | 11.3566i | −0.274872 | − | 0.476092i | 0.695231 | − | 0.718787i | \(-0.255302\pi\) |
−0.970103 | + | 0.242694i | \(0.921969\pi\) | |||||||
\(570\) | −2.61426 | + | 1.52120i | −0.109499 | + | 0.0637162i | ||||
\(571\) | −2.72198 | − | 0.839618i | −0.113911 | − | 0.0351369i | 0.237276 | − | 0.971442i | \(-0.423746\pi\) |
−0.351187 | + | 0.936305i | \(0.614222\pi\) | |||||||
\(572\) | 70.2178 | + | 33.8151i | 2.93595 | + | 1.41388i | ||||
\(573\) | −13.2278 | + | 5.24342i | −0.552597 | + | 0.219047i | ||||
\(574\) | −15.7846 | − | 9.83007i | −0.658836 | − | 0.410299i | ||||
\(575\) | 22.1038 | + | 27.7172i | 0.921791 | + | 1.15589i | ||||
\(576\) | 30.6801 | + | 9.23584i | 1.27834 | + | 0.384827i | ||||
\(577\) | −10.9673 | + | 27.9442i | −0.456574 | + | 1.16333i | 0.498481 | + | 0.866901i | \(0.333891\pi\) |
−0.955055 | + | 0.296430i | \(0.904204\pi\) | |||||||
\(578\) | −27.7442 | − | 13.3609i | −1.15401 | − | 0.555740i | ||||
\(579\) | 1.97480 | + | 1.56391i | 0.0820697 | + | 0.0649937i | ||||
\(580\) | 7.96765 | + | 5.43225i | 0.330839 | + | 0.225562i | ||||
\(581\) | −0.566078 | + | 0.570635i | −0.0234849 | + | 0.0236739i | ||||
\(582\) | 1.13734 | − | 0.0891166i | 0.0471442 | − | 0.00369400i | ||||
\(583\) | 25.4873 | + | 17.3769i | 1.05558 | + | 0.719679i | ||||
\(584\) | 63.0064 | − | 19.4349i | 2.60722 | − | 0.804222i | ||||
\(585\) | −64.6554 | + | 31.6791i | −2.67317 | + | 1.30977i | ||||
\(586\) | −18.4615 | + | 2.78262i | −0.762637 | + | 0.114949i | ||||
\(587\) | 15.5767 | − | 26.9796i | 0.642918 | − | 1.11357i | −0.341860 | − | 0.939751i | \(-0.611057\pi\) |
0.984778 | − | 0.173816i | \(-0.0556099\pi\) | |||||||
\(588\) | 22.1608 | − | 39.4157i | 0.913895 | − | 1.62548i | ||||
\(589\) | −0.476675 | − | 0.825625i | −0.0196410 | − | 0.0340193i | ||||
\(590\) | 7.19298 | + | 9.01972i | 0.296130 | + | 0.371336i | ||||
\(591\) | 14.6691 | − | 21.6734i | 0.603406 | − | 0.891523i | ||||
\(592\) | −5.47762 | + | 23.9990i | −0.225129 | + | 0.986353i | ||||
\(593\) | −2.36114 | + | 31.5073i | −0.0969605 | + | 1.29385i | 0.710404 | + | 0.703794i | \(0.248512\pi\) |
−0.807364 | + | 0.590054i | \(0.799107\pi\) | |||||||
\(594\) | −40.7133 | + | 3.46846i | −1.67049 | + | 0.142313i | ||||
\(595\) | −20.2822 | + | 0.840339i | −0.831490 | + | 0.0344505i | ||||
\(596\) | −1.96738 | + | 26.2529i | −0.0805871 | + | 1.07536i | ||||
\(597\) | 30.7900 | − | 12.2050i | 1.26015 | − | 0.499518i | ||||
\(598\) | −48.2892 | + | 32.9230i | −1.97469 | + | 1.34632i | ||||
\(599\) | 33.8397 | − | 5.10051i | 1.38265 | − | 0.208401i | 0.584763 | − | 0.811204i | \(-0.301188\pi\) |
0.797890 | + | 0.602803i | \(0.205950\pi\) | |||||||
\(600\) | −45.2092 | − | 48.3933i | −1.84566 | − | 1.97565i | ||||
\(601\) | 10.6473 | − | 1.60482i | 0.434311 | − | 0.0654618i | 0.0717514 | − | 0.997423i | \(-0.477141\pi\) |
0.362559 | + | 0.931961i | \(0.381903\pi\) | |||||||
\(602\) | −37.6945 | + | 28.0539i | −1.53631 | + | 1.14339i | ||||
\(603\) | −17.2020 | − | 2.47342i | −0.700519 | − | 0.100725i | ||||
\(604\) | 48.3488 | − | 32.9637i | 1.96729 | − | 1.34127i | ||||
\(605\) | −0.174075 | − | 0.762675i | −0.00707718 | − | 0.0310071i | ||||
\(606\) | 12.8556 | + | 7.36407i | 0.522222 | + | 0.299145i | ||||
\(607\) | −33.4736 | −1.35865 | −0.679325 | − | 0.733838i | \(-0.737727\pi\) | ||||
−0.679325 | + | 0.733838i | \(0.737727\pi\) | |||||||
\(608\) | −0.342218 | + | 0.317532i | −0.0138788 | + | 0.0128776i | ||||
\(609\) | −2.78729 | − | 1.44682i | −0.112947 | − | 0.0586282i | ||||
\(610\) | −31.7601 | − | 29.4691i | −1.28593 | − | 1.19317i | ||||
\(611\) | 42.3550 | + | 39.2997i | 1.71350 | + | 1.58989i | ||||
\(612\) | −8.45603 | − | 21.1227i | −0.341815 | − | 0.853833i | ||||
\(613\) | −11.3392 | − | 1.70911i | −0.457987 | − | 0.0690305i | −0.0840030 | − | 0.996466i | \(-0.526771\pi\) |
−0.373984 | + | 0.927435i | \(0.622009\pi\) | |||||||
\(614\) | 54.7748 | − | 16.8958i | 2.21053 | − | 0.681858i | ||||
\(615\) | 13.0037 | − | 14.1105i | 0.524360 | − | 0.568989i | ||||
\(616\) | 1.20132 | − | 35.9637i | 0.0484025 | − | 1.44902i | ||||
\(617\) | 4.57152 | − | 4.24175i | 0.184043 | − | 0.170767i | −0.582771 | − | 0.812636i | \(-0.698032\pi\) |
0.766814 | + | 0.641870i | \(0.221841\pi\) | |||||||
\(618\) | −37.9107 | − | 21.7164i | −1.52499 | − | 0.873563i | ||||
\(619\) | −17.0666 | −0.685965 | −0.342983 | − | 0.939342i | \(-0.611437\pi\) | ||||
−0.342983 | + | 0.939342i | \(0.611437\pi\) | |||||||
\(620\) | 50.8592 | − | 47.1905i | 2.04256 | − | 1.89522i | ||||
\(621\) | 8.47058 | − | 18.0577i | 0.339913 | − | 0.724629i | ||||
\(622\) | −5.77461 | + | 7.24114i | −0.231541 | + | 0.290343i | ||||
\(623\) | −0.366861 | + | 0.369814i | −0.0146980 | + | 0.0148163i | ||||
\(624\) | 21.0501 | − | 16.9042i | 0.842678 | − | 0.676708i | ||||
\(625\) | −3.14194 | − | 13.7657i | −0.125677 | − | 0.550629i | ||||
\(626\) | −13.5502 | + | 2.04236i | −0.541574 | + | 0.0816292i | ||||
\(627\) | 0.474008 | − | 0.992898i | 0.0189300 | − | 0.0396525i | ||||
\(628\) | 37.4249 | + | 5.64090i | 1.49342 | + | 0.225096i | ||||
\(629\) | −18.4050 | + | 8.86340i | −0.733857 | + | 0.353407i | ||||
\(630\) | 54.8360 | + | 46.1688i | 2.18472 | + | 1.83941i | ||||
\(631\) | −24.6134 | − | 11.8532i | −0.979842 | − | 0.471867i | −0.125792 | − | 0.992057i | \(-0.540147\pi\) |
−0.854051 | + | 0.520189i | \(0.825861\pi\) | |||||||
\(632\) | 18.0777 | + | 12.3252i | 0.719094 | + | 0.490270i | ||||
\(633\) | 7.75432 | − | 8.41429i | 0.308206 | − | 0.334438i | ||||
\(634\) | −3.87099 | + | 51.6547i | −0.153736 | + | 2.05147i | ||||
\(635\) | −40.5983 | − | 50.9087i | −1.61109 | − | 2.02025i | ||||
\(636\) | 52.4260 | − | 30.5060i | 2.07883 | − | 1.20964i | ||||
\(637\) | 19.6402 | + | 39.9605i | 0.778172 | + | 1.58329i | ||||
\(638\) | −5.38894 | −0.213350 | ||||||||
\(639\) | 24.4874 | − | 3.86114i | 0.968706 | − | 0.152744i | ||||
\(640\) | −64.6412 | − | 44.0717i | −2.55517 | − | 1.74209i | ||||
\(641\) | 1.47276 | − | 6.45259i | 0.0581706 | − | 0.254862i | −0.937479 | − | 0.348043i | \(-0.886846\pi\) |
0.995649 | + | 0.0931808i | \(0.0297035\pi\) | |||||||
\(642\) | −19.9441 | + | 29.4670i | −0.787129 | + | 1.16297i | ||||
\(643\) | −2.18199 | − | 29.1166i | −0.0860493 | − | 1.14825i | −0.858375 | − | 0.513022i | \(-0.828526\pi\) |
0.772326 | − | 0.635226i | \(-0.219093\pi\) | |||||||
\(644\) | 32.1516 | + | 20.0229i | 1.26695 | + | 0.789013i | ||||
\(645\) | −21.1862 | − | 43.6141i | −0.834206 | − | 1.71730i | ||||
\(646\) | 0.930668 | + | 0.140276i | 0.0366166 | + | 0.00551907i | ||||
\(647\) | −0.551010 | − | 7.35271i | −0.0216624 | − | 0.289065i | −0.997505 | − | 0.0705915i | \(-0.977511\pi\) |
0.975843 | − | 0.218473i | \(-0.0701077\pi\) | |||||||
\(648\) | −13.1400 | + | 34.8655i | −0.516189 | + | 1.36964i | ||||
\(649\) | −4.01013 | − | 1.23696i | −0.157411 | − | 0.0485549i | ||||
\(650\) | 139.049 | − | 20.9583i | 5.45397 | − | 0.822053i | ||||
\(651\) | −14.6108 | + | 17.2345i | −0.572641 | + | 0.675473i | ||||
\(652\) | 6.79964 | + | 1.02488i | 0.266294 | + | 0.0401374i | ||||
\(653\) | 3.70778 | + | 1.78557i | 0.145097 | + | 0.0698749i | 0.505023 | − | 0.863106i | \(-0.331484\pi\) |
−0.359926 | + | 0.932981i | \(0.617198\pi\) | |||||||
\(654\) | 22.8461 | − | 5.29617i | 0.893354 | − | 0.207097i | ||||
\(655\) | −34.9150 | −1.36424 | ||||||||
\(656\) | −3.59755 | + | 6.23113i | −0.140461 | + | 0.243285i | ||||
\(657\) | −10.9482 | − | 46.5091i | −0.427132 | − | 1.81449i | ||||
\(658\) | 18.7817 | − | 54.3733i | 0.732188 | − | 2.11969i | ||||
\(659\) | 26.2419 | + | 24.3489i | 1.02224 | + | 0.948498i | 0.998687 | − | 0.0512246i | \(-0.0163124\pi\) |
0.0235506 | + | 0.999723i | \(0.492503\pi\) | |||||||
\(660\) | 78.1227 | + | 17.5521i | 3.04092 | + | 0.683215i | ||||
\(661\) | −14.6077 | − | 37.2198i | −0.568173 | − | 1.44768i | −0.869390 | − | 0.494126i | \(-0.835488\pi\) |
0.301217 | − | 0.953556i | \(-0.402607\pi\) | |||||||
\(662\) | 8.53959 | + | 21.7585i | 0.331901 | + | 0.845669i | ||||
\(663\) | 21.8592 | + | 4.91118i | 0.848940 | + | 0.190734i | ||||
\(664\) | 0.921972 | + | 0.855465i | 0.0357795 | + | 0.0331985i | ||||
\(665\) | −1.81931 | + | 0.644801i | −0.0705498 | + | 0.0250043i | ||||
\(666\) | 69.0751 | + | 20.7941i | 2.67660 | + | 0.805756i | ||||
\(667\) | 1.31527 | − | 2.27812i | 0.0509275 | − | 0.0882091i | ||||
\(668\) | 15.8964 | 0.615050 | ||||||||
\(669\) | −20.6789 | + | 4.79376i | −0.799493 | + | 0.185338i | ||||
\(670\) | 47.1368 | + | 22.6999i | 1.82106 | + | 0.876974i | ||||
\(671\) | 15.5842 | + | 2.34894i | 0.601621 | + | 0.0906798i | ||||
\(672\) | 9.81993 | + | 5.09732i | 0.378812 | + | 0.196634i | ||||
\(673\) | 16.9435 | − | 2.55382i | 0.653124 | − | 0.0984426i | 0.185882 | − | 0.982572i | \(-0.440486\pi\) |
0.467242 | + | 0.884130i | \(0.345248\pi\) | |||||||
\(674\) | −60.2977 | − | 18.5994i | −2.32258 | − | 0.716422i | ||||
\(675\) | −37.2134 | + | 30.3020i | −1.43235 | + | 1.16633i | ||||
\(676\) | 7.65358 | + | 102.130i | 0.294368 | + | 3.92807i | ||||
\(677\) | 14.7238 | + | 2.21926i | 0.565882 | + | 0.0852930i | 0.425752 | − | 0.904840i | \(-0.360010\pi\) |
0.140130 | + | 0.990133i | \(0.455248\pi\) | |||||||
\(678\) | −19.3306 | − | 39.7942i | −0.742389 | − | 1.52829i | ||||
\(679\) | 0.723770 | + | 0.0786124i | 0.0277757 | + | 0.00301687i | ||||
\(680\) | 2.37371 | + | 31.6750i | 0.0910276 | + | 1.21468i | ||||
\(681\) | 19.7789 | − | 29.2230i | 0.757928 | − | 1.11983i | ||||
\(682\) | −8.62750 | + | 37.7995i | −0.330364 | + | 1.44742i | ||||
\(683\) | 5.07416 | + | 3.45951i | 0.194157 | + | 0.132374i | 0.656497 | − | 0.754329i | \(-0.272037\pi\) |
−0.462339 | + | 0.886703i | \(0.652990\pi\) | |||||||
\(684\) | −1.36033 | − | 1.68223i | −0.0520133 | − | 0.0643216i | ||||
\(685\) | −12.3857 | −0.473235 | ||||||||
\(686\) | 28.5104 | − | 33.9469i | 1.08853 | − | 1.29610i | ||||
\(687\) | −27.1281 | + | 15.7855i | −1.03500 | + | 0.602253i | ||||
\(688\) | 11.3358 | + | 14.2147i | 0.432174 | + | 0.541930i | ||||
\(689\) | −4.46341 | + | 59.5600i | −0.170042 | + | 2.26906i | ||||
\(690\) | −40.6913 | + | 44.1546i | −1.54909 | + | 1.68094i | ||||
\(691\) | −38.5526 | − | 26.2847i | −1.46661 | − | 0.999919i | −0.992863 | − | 0.119259i | \(-0.961948\pi\) |
−0.473749 | − | 0.880660i | \(-0.657099\pi\) | |||||||
\(692\) | 28.9672 | + | 13.9499i | 1.10117 | + | 0.530295i | ||||
\(693\) | −25.9417 | − | 2.63952i | −0.985443 | − | 0.100267i | ||||
\(694\) | 1.22082 | − | 0.587918i | 0.0463419 | − | 0.0223171i | ||||
\(695\) | −10.0762 | − | 1.51874i | −0.382211 | − | 0.0576091i | ||||
\(696\) | −2.11704 | + | 4.43455i | −0.0802464 | + | 0.168091i | ||||
\(697\) | −5.90424 | + | 0.889922i | −0.223639 | + | 0.0337082i | ||||
\(698\) | 14.0199 | + | 61.4253i | 0.530662 | + | 2.32498i | ||||
\(699\) | −26.3557 | + | 21.1648i | −0.996866 | + | 0.800527i | ||||
\(700\) | −48.7946 | − | 76.9695i | −1.84426 | − | 2.90917i | ||||
\(701\) | 7.67644 | − | 9.62595i | 0.289935 | − | 0.363567i | −0.615437 | − | 0.788186i | \(-0.711020\pi\) |
0.905372 | + | 0.424619i | \(0.139592\pi\) | |||||||
\(702\) | −45.2307 | − | 64.9105i | −1.70712 | − | 2.44989i | ||||
\(703\) | −1.42388 | + | 1.32117i | −0.0537028 | + | 0.0498289i | ||||
\(704\) | 35.0863 | 1.32236 | ||||||||
\(705\) | 51.5088 | + | 29.5059i | 1.93993 | + | 1.11126i | ||||
\(706\) | 55.9554 | − | 51.9190i | 2.10591 | − | 1.95400i | ||||
\(707\) | 7.19094 | + | 6.13830i | 0.270443 | + | 0.230855i | ||||
\(708\) | −5.59205 | + | 6.06800i | −0.210162 | + | 0.228049i | ||||
\(709\) | −48.3830 | + | 14.9242i | −1.81706 | + | 0.560489i | −0.999874 | − | 0.0158827i | \(-0.994944\pi\) |
−0.817187 | + | 0.576372i | \(0.804468\pi\) | |||||||
\(710\) | −73.7948 | − | 11.1228i | −2.76947 | − | 0.417430i | ||||
\(711\) | 9.80103 | − | 12.4628i | 0.367567 | − | 0.467392i | ||||
\(712\) | 0.597507 | + | 0.554405i | 0.0223925 | + | 0.0207772i | ||||
\(713\) | −13.8737 | − | 12.8729i | −0.519572 | − | 0.482093i | ||||
\(714\) | −4.30909 | − | 21.8857i | −0.161264 | − | 0.819052i | ||||
\(715\) | −57.7970 | + | 53.6278i | −2.16149 | + | 2.00557i | ||||
\(716\) | −62.1488 | −2.32261 | ||||||||
\(717\) | 18.8369 | + | 10.7904i | 0.703477 | + | 0.402974i | ||||
\(718\) | 2.44392 | + | 10.7075i | 0.0912062 | + | 0.399601i | ||||
\(719\) | −6.36346 | + | 4.33853i | −0.237317 | + | 0.161800i | −0.676139 | − | 0.736774i | \(-0.736348\pi\) |
0.438822 | + | 0.898574i | \(0.355396\pi\) | |||||||
\(720\) | 17.1459 | − | 21.8023i | 0.638988 | − | 0.812526i | ||||
\(721\) | −21.2059 | − | 18.1017i | −0.789748 | − | 0.674141i | ||||
\(722\) | −44.8828 | + | 6.76500i | −1.67037 | + | 0.251767i | ||||
\(723\) | −14.5314 | − | 15.5549i | −0.540429 | − | 0.578492i | ||||
\(724\) | 59.3691 | − | 8.94845i | 2.20644 | − | 0.332567i | ||||
\(725\) | −5.22943 | + | 3.56537i | −0.194216 | + | 0.132414i | ||||
\(726\) | 0.799111 | − | 0.316764i | 0.0296578 | − | 0.0117562i | ||||
\(727\) | 3.82060 | − | 50.9824i | 0.141698 | − | 1.89083i | −0.246333 | − | 0.969185i | \(-0.579226\pi\) |
0.388031 | − | 0.921646i | \(-0.373155\pi\) | |||||||
\(728\) | 61.4672 | − | 32.8023i | 2.27813 | − | 1.21573i | ||||
\(729\) | 24.5598 | + | 11.2168i | 0.909622 | + | 0.415438i | ||||
\(730\) | −10.7491 | + | 143.437i | −0.397843 | + | 5.30884i | ||||
\(731\) | −3.35738 | + | 14.7097i | −0.124177 | + | 0.544056i | ||||
\(732\) | 17.3700 | − | 25.6639i | 0.642013 | − | 0.948564i | ||||
\(733\) | −2.97314 | − | 3.72820i | −0.109816 | − | 0.137704i | 0.723886 | − | 0.689920i | \(-0.242354\pi\) |
−0.833702 | + | 0.552215i | \(0.813783\pi\) | |||||||
\(734\) | −14.0324 | − | 24.3048i | −0.517945 | − | 0.897107i | ||||
\(735\) | 28.9282 | + | 35.4374i | 1.06703 | + | 1.30713i | ||||
\(736\) | −4.63385 | + | 8.02607i | −0.170806 | + | 0.295845i | ||||
\(737\) | −18.8186 | + | 2.83645i | −0.693192 | + | 0.104482i | ||||
\(738\) | 17.5015 | + | 11.7590i | 0.644240 | + | 0.432856i | ||||
\(739\) | −3.63378 | + | 1.12087i | −0.133671 | + | 0.0412319i | −0.360869 | − | 0.932617i | \(-0.617520\pi\) |
0.227198 | + | 0.973849i | \(0.427044\pi\) | |||||||
\(740\) | −116.796 | − | 79.6303i | −4.29351 | − | 2.92727i | ||||
\(741\) | 2.12379 | − | 0.166410i | 0.0780193 | − | 0.00611324i | ||||
\(742\) | 56.0490 | − | 19.8650i | 2.05763 | − | 0.729266i | ||||
\(743\) | 27.5672 | + | 18.7950i | 1.01134 | + | 0.689521i | 0.951170 | − | 0.308667i | \(-0.0998828\pi\) |
0.0601718 | + | 0.998188i | \(0.480835\pi\) | |||||||
\(744\) | 27.7159 | + | 21.9491i | 1.01611 | + | 0.804693i | ||||
\(745\) | −23.9958 | − | 11.5558i | −0.879140 | − | 0.423371i | ||||
\(746\) | −0.729254 | + | 1.85811i | −0.0266999 | + | 0.0680302i | ||||
\(747\) | 0.663882 | − | 0.624436i | 0.0242902 | − | 0.0228469i | ||||
\(748\) | −15.5346 | − | 19.4797i | −0.568000 | − | 0.712250i | ||||
\(749\) | −15.9917 | + | 16.1204i | −0.584324 | + | 0.589027i | ||||
\(750\) | 61.5950 | − | 24.4159i | 2.24913 | − | 0.891544i | ||||
\(751\) | 21.2116 | + | 10.2150i | 0.774022 | + | 0.372749i | 0.778827 | − | 0.627239i | \(-0.215815\pi\) |
−0.00480485 | + | 0.999988i | \(0.501529\pi\) | |||||||
\(752\) | −21.2696 | − | 6.56081i | −0.775624 | − | 0.239248i | ||||
\(753\) | 26.8738 | − | 15.6375i | 0.979336 | − | 0.569863i | ||||
\(754\) | −5.21706 | − | 9.03622i | −0.189994 | − | 0.329080i | ||||
\(755\) | 13.1730 | + | 57.7147i | 0.479414 | + | 2.10045i | ||||
\(756\) | −26.6597 | + | 43.7968i | −0.969606 | + | 1.59287i | ||||
\(757\) | 3.20463 | − | 14.0404i | 0.116474 | − | 0.510308i | −0.882710 | − | 0.469919i | \(-0.844283\pi\) |
0.999184 | − | 0.0403888i | \(-0.0128597\pi\) | |||||||
\(758\) | 14.4674 | − | 4.46261i | 0.525480 | − | 0.162089i | ||||
\(759\) | 3.18201 | − | 21.6089i | 0.115500 | − | 0.784355i | ||||
\(760\) | 1.10343 | + | 2.81149i | 0.0400255 | + | 0.101983i | ||||
\(761\) | 6.24899 | − | 27.3786i | 0.226526 | − | 0.992473i | −0.725924 | − | 0.687775i | \(-0.758587\pi\) |
0.952449 | − | 0.304698i | \(-0.0985555\pi\) | |||||||
\(762\) | 48.4880 | − | 52.6148i | 1.75653 | − | 1.90603i | ||||
\(763\) | 14.9532 | − | 0.619546i | 0.541343 | − | 0.0224291i | ||||
\(764\) | 6.81779 | + | 29.8707i | 0.246659 | + | 1.08068i | ||||
\(765\) | 23.0171 | − | 0.156326i | 0.832184 | − | 0.00565197i | ||||
\(766\) | −36.0153 | − | 62.3804i | −1.30129 | − | 2.25390i | ||||
\(767\) | −1.80808 | − | 7.92172i | −0.0652860 | − | 0.286037i | ||||
\(768\) | 21.0978 | − | 44.1932i | 0.761300 | − | 1.59469i | ||||
\(769\) | 32.1339 | + | 4.84340i | 1.15878 | + | 0.174658i | 0.700167 | − | 0.713980i | \(-0.253109\pi\) |
0.458611 | + | 0.888637i | \(0.348347\pi\) | |||||||
\(770\) | 72.0743 | + | 31.1024i | 2.59738 | + | 1.12085i | ||||
\(771\) | −43.5921 | − | 16.9380i | −1.56993 | − | 0.610008i | ||||
\(772\) | 3.97619 | − | 3.68937i | 0.143106 | − | 0.132783i | ||||
\(773\) | −1.77149 | + | 4.51369i | −0.0637161 | + | 0.162346i | −0.959186 | − | 0.282776i | \(-0.908745\pi\) |
0.895470 | + | 0.445122i | \(0.146840\pi\) | |||||||
\(774\) | 43.8169 | − | 30.3118i | 1.57497 | − | 1.08954i | ||||
\(775\) | 16.6363 | + | 42.3887i | 0.597595 | + | 1.52265i | ||||
\(776\) | 0.0851308 | − | 1.13599i | 0.00305602 | − | 0.0407797i | ||||
\(777\) | 40.8583 | + | 21.2087i | 1.46578 | + | 0.760858i | ||||
\(778\) | 5.82732 | + | 77.7602i | 0.208920 | + | 2.78784i | ||||
\(779\) | −0.511523 | + | 0.246337i | −0.0183272 | + | 0.00882593i | ||||
\(780\) | 46.1995 | + | 147.989i | 1.65421 | + | 5.29886i | ||||
\(781\) | 24.4584 | − | 11.7785i | 0.875190 | − | 0.421469i | ||||
\(782\) | 18.4756 | − | 2.78475i | 0.660686 | − | 0.0995824i | ||||
\(783\) | 3.10181 | + | 1.74895i | 0.110850 | + | 0.0625022i | ||||
\(784\) | −13.4961 | − | 10.5869i | −0.482004 | − | 0.378103i | ||||
\(785\) | −19.1444 | + | 33.1591i | −0.683293 | + | 1.18350i | ||||
\(786\) | −5.84690 | − | 37.9175i | −0.208552 | − | 1.35247i | ||||
\(787\) | −0.798814 | + | 10.6594i | −0.0284746 | + | 0.379968i | 0.964702 | + | 0.263345i | \(0.0848258\pi\) |
−0.993176 | + | 0.116622i | \(0.962793\pi\) | |||||||
\(788\) | −41.3094 | − | 38.3296i | −1.47159 | − | 1.36543i | ||||
\(789\) | 4.39014 | − | 6.48637i | 0.156293 | − | 0.230921i | ||||
\(790\) | −39.4367 | + | 26.8875i | −1.40310 | + | 0.956615i | ||||
\(791\) | −7.41641 | − | 27.2411i | −0.263697 | − | 0.968584i | ||||
\(792\) | −2.77271 | + | 40.7074i | −0.0985241 | + | 1.44647i | ||||
\(793\) | 11.1484 | + | 28.4057i | 0.395892 | + | 1.00872i | ||||
\(794\) | 26.5194 | + | 12.7711i | 0.941139 | + | 0.453228i | ||||
\(795\) | 9.35162 | + | 60.6458i | 0.331668 | + | 2.15089i | ||||
\(796\) | −15.8697 | − | 69.5295i | −0.562485 | − | 2.46441i | ||||
\(797\) | −3.29141 | + | 8.38639i | −0.116588 | + | 0.297061i | −0.977242 | − | 0.212130i | \(-0.931960\pi\) |
0.860654 | + | 0.509191i | \(0.170055\pi\) | |||||||
\(798\) | −1.00492 | − | 1.86778i | −0.0355736 | − | 0.0661189i | ||||
\(799\) | −6.74840 | − | 17.1946i | −0.238741 | − | 0.608303i | ||||
\(800\) | 18.4239 | − | 12.5612i | 0.651382 | − | 0.444105i | ||||
\(801\) | 0.430245 | − | 0.404681i | 0.0152019 | − | 0.0142987i | ||||
\(802\) | −32.6664 | − | 56.5799i | −1.15349 | − | 1.99791i | ||||
\(803\) | −26.1615 | − | 45.3130i | −0.923218 | − | 1.59906i | ||||
\(804\) | −10.9086 | + | 35.7960i | −0.384717 | + | 1.26243i | ||||
\(805\) | −30.7393 | + | 22.8775i | −1.08342 | + | 0.806327i | ||||
\(806\) | −71.7349 | + | 22.1273i | −2.52675 | + | 0.779400i | ||||
\(807\) | 1.71825 | − | 1.86449i | 0.0604853 | − | 0.0656332i | ||||
\(808\) | 9.22389 | − | 11.5664i | 0.324495 | − | 0.406904i | ||||
\(809\) | 22.8403 | + | 3.44262i | 0.803021 | + | 0.121036i | 0.537713 | − | 0.843128i | \(-0.319288\pi\) |
0.265308 | + | 0.964164i | \(0.414526\pi\) | |||||||
\(810\) | −60.3291 | − | 54.4711i | −2.11975 | − | 1.91392i | ||||
\(811\) | −10.1456 | + | 44.4508i | −0.356260 | + | 1.56088i | 0.406164 | + | 0.913800i | \(0.366866\pi\) |
−0.762424 | + | 0.647078i | \(0.775991\pi\) | |||||||
\(812\) | −3.99365 | + | 5.45686i | −0.140150 | + | 0.191498i | ||||
\(813\) | 22.7440 | − | 5.27250i | 0.797668 | − | 0.184915i | ||||
\(814\) | 78.9954 | 2.76879 | ||||||||
\(815\) | −3.47830 | + | 6.02459i | −0.121840 | + | 0.211032i | ||||
\(816\) | −8.40789 | + | 1.94911i | −0.294335 | + | 0.0682324i | ||||
\(817\) | 0.107211 | + | 1.43063i | 0.00375083 | + | 0.0500514i | ||||
\(818\) | −8.18723 | + | 10.2665i | −0.286260 | + | 0.358958i | ||||
\(819\) | −20.6883 | − | 46.0546i | −0.722908 | − | 1.60928i | ||||
\(820\) | −25.7613 | − | 32.3037i | −0.899624 | − | 1.12809i | ||||
\(821\) | 29.4590 | − | 27.3340i | 1.02813 | − | 0.953962i | 0.0291673 | − | 0.999575i | \(-0.490714\pi\) |
0.998959 | + | 0.0456125i | \(0.0145240\pi\) | |||||||
\(822\) | −2.07413 | − | 13.4509i | −0.0723437 | − | 0.469153i | ||||
\(823\) | −16.2924 | + | 11.1079i | −0.567916 | + | 0.387199i | −0.812965 | − | 0.582312i | \(-0.802148\pi\) |
0.245049 | + | 0.969511i | \(0.421196\pi\) | |||||||
\(824\) | −27.2010 | + | 34.1089i | −0.947590 | + | 1.18824i | ||||
\(825\) | −29.4564 | + | 43.5214i | −1.02554 | + | 1.51522i | ||||
\(826\) | −6.48975 | + | 4.82996i | −0.225807 | + | 0.168056i | ||||
\(827\) | −22.6615 | − | 10.9132i | −0.788018 | − | 0.379489i | −0.00381392 | − | 0.999993i | \(-0.501214\pi\) |
−0.784204 | + | 0.620503i | \(0.786928\pi\) | |||||||
\(828\) | −35.6489 | − | 23.9520i | −1.23889 | − | 0.832389i | ||||
\(829\) | −6.36289 | + | 1.96269i | −0.220992 | + | 0.0681671i | −0.403274 | − | 0.915079i | \(-0.632128\pi\) |
0.182282 | + | 0.983246i | \(0.441652\pi\) | |||||||
\(830\) | −2.47201 | + | 1.19046i | −0.0858046 | + | 0.0413213i | ||||
\(831\) | −0.165442 | − | 0.0642839i | −0.00573913 | − | 0.00222998i | ||||
\(832\) | 33.9672 | + | 58.8330i | 1.17760 | + | 2.03967i | ||||
\(833\) | −0.114123 | − | 14.2342i | −0.00395413 | − | 0.493186i | ||||
\(834\) | −0.0380231 | − | 11.1970i | −0.00131663 | − | 0.387722i | ||||
\(835\) | −5.87531 | + | 14.9700i | −0.203323 | + | 0.518059i | ||||
\(836\) | −1.95744 | − | 1.33456i | −0.0676996 | − | 0.0461568i | ||||
\(837\) | 17.2335 | − | 18.9570i | 0.595676 | − | 0.655250i | ||||
\(838\) | −1.25846 | + | 16.7930i | −0.0434729 | + | 0.580105i | ||||
\(839\) | −19.4369 | + | 13.2519i | −0.671038 | + | 0.457506i | −0.850302 | − | 0.526295i | \(-0.823581\pi\) |
0.179264 | + | 0.983801i | \(0.442628\pi\) | |||||||
\(840\) | 53.9085 | − | 47.0912i | 1.86002 | − | 1.62480i | ||||
\(841\) | −23.5729 | − | 16.0717i | −0.812858 | − | 0.554198i | ||||
\(842\) | −31.1759 | + | 39.0934i | −1.07439 | + | 1.34725i | ||||
\(843\) | −3.89860 | + | 8.16636i | −0.134275 | + | 0.281264i | ||||
\(844\) | −15.3619 | − | 19.2632i | −0.528778 | − | 0.663066i | ||||
\(845\) | −99.0070 | − | 30.5396i | −3.40594 | − | 1.05059i | ||||
\(846\) | −23.4175 | + | 60.8795i | −0.805112 | + | 2.09308i | ||||
\(847\) | 0.538586 | − | 0.104144i | 0.0185060 | − | 0.00357843i | ||||
\(848\) | −8.40612 | − | 21.4185i | −0.288667 | − | 0.735513i | ||||
\(849\) | −13.3675 | + | 28.0008i | −0.458772 | + | 0.960985i | ||||
\(850\) | −42.9580 | − | 13.2508i | −1.47345 | − | 0.454498i | ||||
\(851\) | −19.2803 | + | 33.3945i | −0.660921 | + | 1.14475i | ||||
\(852\) | −0.181265 | − | 53.3787i | −0.00621003 | − | 1.82873i | ||||
\(853\) | −37.5942 | − | 11.5963i | −1.28720 | − | 0.397049i | −0.425728 | − | 0.904851i | \(-0.639982\pi\) |
−0.861474 | + | 0.507802i | \(0.830458\pi\) | |||||||
\(854\) | 21.3966 | − | 21.5688i | 0.732176 | − | 0.738070i | ||||
\(855\) | 2.08697 | − | 0.659301i | 0.0713729 | − | 0.0225476i | ||||
\(856\) | 26.0457 | + | 24.1669i | 0.890224 | + | 0.826007i | ||||
\(857\) | −2.93113 | + | 3.67552i | −0.100125 | + | 0.125553i | −0.829370 | − | 0.558700i | \(-0.811300\pi\) |
0.729244 | + | 0.684253i | \(0.239872\pi\) | |||||||
\(858\) | −67.9184 | − | 53.7868i | −2.31870 | − | 1.83625i | ||||
\(859\) | −5.23815 | + | 22.9498i | −0.178723 | + | 0.783038i | 0.803497 | + | 0.595308i | \(0.202970\pi\) |
−0.982221 | + | 0.187730i | \(0.939887\pi\) | |||||||
\(860\) | −99.7677 | + | 30.7743i | −3.40205 | + | 1.04939i | ||||
\(861\) | 9.58472 | + | 9.44382i | 0.326646 | + | 0.321845i | ||||
\(862\) | −5.08606 | − | 1.56884i | −0.173232 | − | 0.0534349i | ||||
\(863\) | 7.79662 | − | 13.5041i | 0.265400 | − | 0.459686i | −0.702268 | − | 0.711912i | \(-0.747829\pi\) |
0.967668 | + | 0.252226i | \(0.0811627\pi\) | |||||||
\(864\) | −10.9280 | − | 6.16173i | −0.371780 | − | 0.209626i | ||||
\(865\) | −23.8432 | + | 22.1233i | −0.810694 | + | 0.752214i | ||||
\(866\) | 6.45863 | + | 86.1845i | 0.219473 | + | 2.92867i | ||||
\(867\) | 17.4682 | + | 13.8336i | 0.593251 | + | 0.469815i | ||||
\(868\) | 31.8822 | + | 36.7488i | 1.08215 | + | 1.24734i | ||||
\(869\) | 6.34320 | − | 16.1622i | 0.215178 | − | 0.548266i | ||||
\(870\) | −7.31800 | − | 7.83341i | −0.248103 | − | 0.265577i | ||||
\(871\) | −22.9746 | − | 28.8092i | −0.778464 | − | 0.976163i | ||||
\(872\) | −1.75004 | − | 23.3526i | −0.0592637 | − | 0.790819i | ||||
\(873\) | −0.817101 | − | 0.117488i | −0.0276547 | − | 0.00397638i | ||||
\(874\) | 1.60066 | − | 0.770838i | 0.0541432 | − | 0.0260740i | ||||
\(875\) | 41.5139 | − | 8.02735i | 1.40342 | − | 0.271374i | ||||
\(876\) | −102.569 | + | 8.03683i | −3.46548 | + | 0.271539i | ||||
\(877\) | 41.2027 | − | 19.8422i | 1.39131 | − | 0.670022i | 0.419935 | − | 0.907554i | \(-0.362053\pi\) |
0.971380 | + | 0.237532i | \(0.0763385\pi\) | |||||||
\(878\) | −13.6792 | − | 12.6924i | −0.461650 | − | 0.428349i | ||||
\(879\) | 13.4753 | + | 0.963826i | 0.454509 | + | 0.0325090i | ||||
\(880\) | 11.0967 | − | 28.2741i | 0.374071 | − | 0.953118i | ||||
\(881\) | −37.8120 | −1.27392 | −0.636959 | − | 0.770898i | \(-0.719808\pi\) | ||||
−0.636959 | + | 0.770898i | \(0.719808\pi\) | |||||||
\(882\) | −33.6406 | + | 37.3503i | −1.13274 | + | 1.25765i | ||||
\(883\) | −19.6104 | −0.659943 | −0.329971 | − | 0.943991i | \(-0.607039\pi\) | ||||
−0.329971 | + | 0.943991i | \(0.607039\pi\) | |||||||
\(884\) | 17.6247 | − | 44.9070i | 0.592782 | − | 1.51038i | ||||
\(885\) | −3.64756 | − | 7.50891i | −0.122611 | − | 0.252409i | ||||
\(886\) | −50.5319 | − | 46.8868i | −1.69765 | − | 1.57519i | ||||
\(887\) | 10.7714 | − | 5.18721i | 0.361667 | − | 0.174169i | −0.244221 | − | 0.969720i | \(-0.578532\pi\) |
0.605888 | + | 0.795550i | \(0.292818\pi\) | |||||||
\(888\) | 31.0333 | − | 65.0052i | 1.04141 | − | 2.18143i | ||||
\(889\) | 36.6291 | − | 27.2610i | 1.22850 | − | 0.914305i | ||||
\(890\) | −1.60204 | + | 0.771504i | −0.0537006 | + | 0.0258609i | ||||
\(891\) | 29.2939 | + | 4.00920i | 0.981382 | + | 0.134313i | ||||
\(892\) | 3.41575 | + | 45.5800i | 0.114368 | + | 1.52613i | ||||
\(893\) | −1.09508 | − | 1.37318i | −0.0366454 | − | 0.0459519i | ||||
\(894\) | 8.53117 | − | 27.9945i | 0.285325 | − | 0.936278i | ||||
\(895\) | 22.9702 | − | 58.5270i | 0.767808 | − | 1.95634i | ||||
\(896\) | 32.4004 | − | 44.2713i | 1.08242 | − | 1.47900i | ||||
\(897\) | 39.3146 | − | 15.5841i | 1.31268 | − | 0.520338i | ||||
\(898\) | 3.00858 | + | 40.1467i | 0.100398 | + | 1.33971i | ||||
\(899\) | 2.47687 | − | 2.29820i | 0.0826082 | − | 0.0766492i | ||||
\(900\) | 52.2741 | + | 89.1378i | 1.74247 | + | 2.97126i | ||||
\(901\) | 9.54714 | − | 16.5361i | 0.318061 | − | 0.550898i | ||||
\(902\) | 22.0638 | + | 6.80579i | 0.734645 | + | 0.226608i | ||||
\(903\) | 31.0624 | − | 13.8271i | 1.03369 | − | 0.460136i | ||||
\(904\) | −42.2143 | + | 13.0214i | −1.40403 | + | 0.433085i | ||||
\(905\) | −13.5158 | + | 59.2167i | −0.449281 | + | 1.96843i | ||||
\(906\) | −60.4720 | + | 23.9708i | −2.00905 | + | 0.796376i | ||||
\(907\) | −7.22842 | + | 9.06415i | −0.240016 | + | 0.300970i | −0.887220 | − | 0.461346i | \(-0.847367\pi\) |
0.647204 | + | 0.762316i | \(0.275938\pi\) | |||||||
\(908\) | −55.6991 | − | 51.6812i | −1.84844 | − | 1.71510i | ||||
\(909\) | −7.90798 | − | 7.23821i | −0.262291 | − | 0.240076i | ||||
\(910\) | 17.6228 | + | 150.965i | 0.584191 | + | 5.00445i | ||||
\(911\) | 6.29688 | + | 1.94233i | 0.208625 | + | 0.0643523i | 0.397306 | − | 0.917686i | \(-0.369945\pi\) |
−0.188681 | + | 0.982038i | \(0.560421\pi\) | |||||||
\(912\) | −0.709321 | + | 0.412745i | −0.0234880 | + | 0.0136673i | ||||
\(913\) | 0.499027 | − | 0.864341i | 0.0165154 | − | 0.0286055i | ||||
\(914\) | 87.1233 | + | 26.8740i | 2.88178 | + | 0.888912i | ||||
\(915\) | 17.7484 | + | 25.8431i | 0.586743 | + | 0.854346i | ||||
\(916\) | 24.6909 | + | 62.9114i | 0.815811 | + | 2.07865i | ||||
\(917\) | 0.817378 | − | 24.4697i | 0.0269922 | − | 0.808062i | ||||
\(918\) | 4.02424 | + | 24.9703i | 0.132820 | + | 0.824143i | ||||
\(919\) | 0.0537451 | + | 0.0165782i | 0.00177289 | + | 0.000546863i | 0.295641 | − | 0.955299i | \(-0.404467\pi\) |
−0.293869 | + | 0.955846i | \(0.594943\pi\) | |||||||
\(920\) | 37.3834 | + | 46.8773i | 1.23249 | + | 1.54550i | ||||
\(921\) | −41.3512 | + | 3.24009i | −1.36257 | + | 0.106765i | ||||
\(922\) | −29.1152 | + | 36.5093i | −0.958858 | + | 1.20237i | ||||
\(923\) | 43.4287 | + | 29.6092i | 1.42947 | + | 0.974598i | ||||
\(924\) | −14.1301 | + | 54.3404i | −0.464845 | + | 1.78767i | ||||
\(925\) | 76.6572 | − | 52.2640i | 2.52047 | − | 1.71843i | ||||
\(926\) | −1.30072 | + | 17.3569i | −0.0427443 | + | 0.570383i | ||||
\(927\) | 23.3204 | + | 21.3453i | 0.765943 | + | 0.701071i | ||||
\(928\) | −1.36707 | − | 0.932050i | −0.0448762 | − | 0.0305961i | ||||
\(929\) | −9.24886 | + | 23.5657i | −0.303445 | + | 0.773166i | 0.695083 | + | 0.718929i | \(0.255368\pi\) |
−0.998528 | + | 0.0542361i | \(0.982728\pi\) | |||||||
\(930\) | −66.6616 | + | 38.7895i | −2.18592 | + | 1.27196i | ||||
\(931\) | −0.409310 | − | 1.29014i | −0.0134146 | − | 0.0422825i | ||||
\(932\) | 36.3922 | + | 63.0331i | 1.19207 | + | 2.06472i | ||||
\(933\) | 5.22549 | − | 4.19630i | 0.171075 | − | 0.137381i | ||||
\(934\) | 29.0485 | − | 13.9890i | 0.950495 | − | 0.457734i | ||||
\(935\) | 24.0861 | − | 7.42959i | 0.787701 | − | 0.242974i | ||||
\(936\) | −70.9428 | + | 34.7598i | −2.31884 | + | 1.13616i | ||||
\(937\) | 7.31913 | + | 3.52471i | 0.239105 | + | 0.115147i | 0.549600 | − | 0.835428i | \(-0.314780\pi\) |
−0.310494 | + | 0.950575i | \(0.600495\pi\) | |||||||
\(938\) | −17.0124 | + | 32.5039i | −0.555476 | + | 1.06129i | ||||
\(939\) | 9.89044 | + | 0.707420i | 0.322762 | + | 0.0230858i | ||||
\(940\) | 79.6944 | − | 99.9336i | 2.59935 | − | 3.25948i | ||||
\(941\) | 15.8674 | − | 10.8182i | 0.517262 | − | 0.352663i | −0.276380 | − | 0.961048i | \(-0.589135\pi\) |
0.793642 | + | 0.608385i | \(0.208183\pi\) | |||||||
\(942\) | −39.2166 | − | 15.2379i | −1.27775 | − | 0.496478i | ||||
\(943\) | −8.26217 | + | 7.66618i | −0.269053 | + | 0.249645i | ||||
\(944\) | 1.95165 | + | 2.44730i | 0.0635209 | + | 0.0796527i | ||||
\(945\) | −31.3911 | − | 41.2934i | −1.02115 | − | 1.34328i | ||||
\(946\) | 36.3776 | − | 45.6161i | 1.18274 | − | 1.48311i | ||||
\(947\) | 2.40563 | + | 32.1009i | 0.0781726 | + | 1.04314i | 0.889016 | + | 0.457877i | \(0.151390\pi\) |
−0.810843 | + | 0.585264i | \(0.800991\pi\) | |||||||
\(948\) | −23.3059 | − | 24.9473i | −0.756941 | − | 0.810252i | ||||
\(949\) | 50.6541 | − | 87.7355i | 1.64430 | − | 2.84802i | ||||
\(950\) | −4.27458 | −0.138686 | ||||||||
\(951\) | 10.9264 | − | 35.8544i | 0.354313 | − | 1.16266i | ||||
\(952\) | −22.2546 | + | 0.922057i | −0.721275 | + | 0.0298840i | ||||
\(953\) | 8.10481 | − | 35.5095i | 0.262540 | − | 1.15026i | −0.655945 | − | 0.754809i | \(-0.727730\pi\) |
0.918485 | − | 0.395456i | \(-0.129413\pi\) | |||||||
\(954\) | −64.2951 | + | 20.3117i | −2.08163 | + | 0.657614i | ||||
\(955\) | −30.6498 | − | 4.61972i | −0.991805 | − | 0.149491i | ||||
\(956\) | 29.1444 | − | 36.5460i | 0.942599 | − | 1.18198i | ||||
\(957\) | 3.80461 | + | 0.854795i | 0.122986 | + | 0.0276316i | ||||
\(958\) | −44.9615 | + | 13.8688i | −1.45264 | + | 0.448081i | ||||
\(959\) | 0.289957 | − | 8.68040i | 0.00936320 | − | 0.280305i | ||||
\(960\) | 47.6460 | + | 51.0017i | 1.53777 | + | 1.64607i | ||||
\(961\) | 3.34517 | + | 5.79401i | 0.107909 | + | 0.186903i | ||||
\(962\) | 76.4759 | + | 132.460i | 2.46568 | + | 4.27069i | ||||
\(963\) | 18.7546 | − | 17.6403i | 0.604360 | − | 0.568451i | ||||
\(964\) | −37.8709 | + | 25.8200i | −1.21974 | + | 0.831605i | ||||
\(965\) | 2.00477 | + | 5.10807i | 0.0645358 | + | 0.164434i | ||||
\(966\) | −29.9926 | − | 29.5517i | −0.964995 | − | 0.950809i | ||||
\(967\) | −16.0918 | + | 41.0012i | −0.517477 | + | 1.31851i | 0.398460 | + | 0.917186i | \(0.369545\pi\) |
−0.915937 | + | 0.401323i | \(0.868550\pi\) | |||||||
\(968\) | −0.191003 | − | 0.836841i | −0.00613908 | − | 0.0268971i | ||||
\(969\) | −0.634804 | − | 0.246658i | −0.0203928 | − | 0.00792379i | ||||
\(970\) | 2.23902 | + | 1.07825i | 0.0718905 | + | 0.0346207i | ||||
\(971\) | −11.7618 | − | 29.9686i | −0.377455 | − | 0.961739i | −0.985778 | − | 0.168050i | \(-0.946253\pi\) |
0.608324 | − | 0.793689i | \(-0.291842\pi\) | |||||||
\(972\) | 31.9300 | − | 48.5849i | 1.02415 | − | 1.55836i | ||||
\(973\) | 1.30028 | − | 7.02621i | 0.0416850 | − | 0.225250i | ||||
\(974\) | 41.4296 | − | 28.2462i | 1.32749 | − | 0.905068i | ||||
\(975\) | −101.494 | − | 7.25941i | −3.25040 | − | 0.232487i | ||||
\(976\) | −8.61740 | − | 7.99578i | −0.275836 | − | 0.255939i | ||||
\(977\) | 2.20268 | − | 29.3927i | 0.0704699 | − | 0.940356i | −0.844167 | − | 0.536080i | \(-0.819904\pi\) |
0.914637 | − | 0.404276i | \(-0.132476\pi\) | |||||||
\(978\) | −7.12517 | − | 2.76854i | −0.227838 | − | 0.0885280i | ||||
\(979\) | 0.323407 | − | 0.560157i | 0.0103361 | − | 0.0179027i | ||||
\(980\) | 84.9074 | − | 49.9332i | 2.71227 | − | 1.59506i | ||||
\(981\) | −16.9695 | + | 0.115252i | −0.541795 | + | 0.00367973i | ||||
\(982\) | 96.6586 | − | 14.5689i | 3.08450 | − | 0.464914i | ||||
\(983\) | 35.6772 | − | 17.1812i | 1.13793 | − | 0.547996i | 0.232540 | − | 0.972587i | \(-0.425296\pi\) |
0.905386 | + | 0.424590i | \(0.139582\pi\) | |||||||
\(984\) | 14.2683 | − | 15.4826i | 0.454855 | − | 0.493568i | ||||
\(985\) | 51.3639 | − | 24.7355i | 1.63659 | − | 0.788139i | ||||
\(986\) | 0.249278 | + | 3.32638i | 0.00793863 | + | 0.105934i | ||||
\(987\) | −21.8847 | + | 35.4086i | −0.696597 | + | 1.12707i | ||||
\(988\) | 0.342793 | − | 4.57425i | 0.0109057 | − | 0.145526i | ||||
\(989\) | 10.4051 | + | 26.5117i | 0.330862 | + | 0.843024i | ||||
\(990\) | −80.4550 | − | 38.0741i | −2.55703 | − | 1.21008i | ||||
\(991\) | −5.58857 | + | 14.2395i | −0.177527 | + | 0.452331i | −0.991745 | − | 0.128228i | \(-0.959071\pi\) |
0.814218 | + | 0.580560i | \(0.197166\pi\) | |||||||
\(992\) | −8.72629 | + | 8.09681i | −0.277060 | + | 0.257074i | ||||
\(993\) | −2.57764 | − | 16.7161i | −0.0817989 | − | 0.530471i | ||||
\(994\) | 9.52283 | − | 51.4578i | 0.302046 | − | 1.63214i | ||||
\(995\) | 71.3431 | + | 10.7532i | 2.26173 | + | 0.340901i | ||||
\(996\) | −1.11101 | − | 1.61772i | −0.0352037 | − | 0.0512594i | ||||
\(997\) | 7.85947 | + | 34.4346i | 0.248912 | + | 1.09055i | 0.932637 | + | 0.360815i | \(0.117501\pi\) |
−0.683725 | + | 0.729739i | \(0.739641\pi\) | |||||||
\(998\) | −28.4213 | − | 49.2271i | −0.899659 | − | 1.55826i | ||||
\(999\) | −45.4689 | − | 25.6374i | −1.43857 | − | 0.811133i |
(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 | 441.2.z.a.142.6 | yes | 648 | |
9.4 | even | 3 | 441.2.y.a.436.6 | yes | 648 | ||
49.39 | even | 21 | 441.2.y.a.88.6 | ✓ | 648 | ||
441.382 | even | 21 | inner | 441.2.z.a.382.6 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.y.a.88.6 | ✓ | 648 | 49.39 | even | 21 | ||
441.2.y.a.436.6 | yes | 648 | 9.4 | even | 3 | ||
441.2.z.a.142.6 | yes | 648 | 1.1 | even | 1 | trivial | |
441.2.z.a.382.6 | yes | 648 | 441.382 | even | 21 | inner |