Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [349,2,Mod(17,349)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(349, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([43]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("349.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 349 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 349.h (of order \(58\), degree \(28\), 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: | \(2.78677903054\) |
Analytic rank: | \(0\) |
Dimension: | \(784\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{58})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{58}]$ |
Embedding invariants
Embedding label | 17.19 | ||
Character | \(\chi\) | \(=\) | 349.17 |
Dual form | 349.2.h.a.308.19 |
$q$-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 \(\left(\mathbb{Z}/349\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{43}{58}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.504938 | − | 0.533057i | 0.357045 | − | 0.376928i | −0.522584 | − | 0.852588i | \(-0.675032\pi\) |
0.879629 | + | 0.475660i | \(0.157791\pi\) | |||||||
\(3\) | 1.26280 | + | 1.48669i | 0.729079 | + | 0.858338i | 0.994385 | − | 0.105826i | \(-0.0337487\pi\) |
−0.265305 | + | 0.964164i | \(0.585473\pi\) | |||||||
\(4\) | 0.0790909 | + | 1.45875i | 0.0395454 | + | 0.729373i | ||||
\(5\) | 0.890294 | − | 0.676784i | 0.398152 | − | 0.302667i | −0.386871 | − | 0.922134i | \(-0.626444\pi\) |
0.785023 | + | 0.619467i | \(0.212651\pi\) | |||||||
\(6\) | 1.43013 | + | 0.0775392i | 0.583846 | + | 0.0316552i | ||||
\(7\) | 2.42550 | − | 4.03121i | 0.916752 | − | 1.52365i | 0.0661710 | − | 0.997808i | \(-0.478922\pi\) |
0.850581 | − | 0.525845i | \(-0.176251\pi\) | |||||||
\(8\) | 1.93675 | + | 1.64509i | 0.684746 | + | 0.581628i | ||||
\(9\) | −0.130219 | + | 0.794301i | −0.0434063 | + | 0.264767i | ||||
\(10\) | 0.0887793 | − | 0.816312i | 0.0280745 | − | 0.258141i | ||||
\(11\) | −0.302625 | + | 1.37484i | −0.0912449 | + | 0.414530i | −0.999996 | − | 0.00280867i | \(-0.999106\pi\) |
0.908751 | + | 0.417338i | \(0.137037\pi\) | |||||||
\(12\) | −2.06882 | + | 1.95969i | −0.597217 | + | 0.565714i | ||||
\(13\) | −4.54590 | + | 1.26216i | −1.26081 | + | 0.350061i | −0.832729 | − | 0.553681i | \(-0.813223\pi\) |
−0.428077 | + | 0.903742i | \(0.640809\pi\) | |||||||
\(14\) | −0.924137 | − | 3.32844i | −0.246986 | − | 0.889563i | ||||
\(15\) | 2.13043 | + | 0.468943i | 0.550075 | + | 0.121081i | ||||
\(16\) | −1.04978 | + | 0.114170i | −0.262444 | + | 0.0285425i | ||||
\(17\) | −1.96286 | − | 2.31086i | −0.476064 | − | 0.560466i | 0.470742 | − | 0.882271i | \(-0.343986\pi\) |
−0.946806 | + | 0.321805i | \(0.895710\pi\) | |||||||
\(18\) | 0.357655 | + | 0.470487i | 0.0843001 | + | 0.110895i | ||||
\(19\) | 0.246565 | + | 0.618832i | 0.0565659 | + | 0.141970i | 0.954544 | − | 0.298071i | \(-0.0963432\pi\) |
−0.897978 | + | 0.440041i | \(0.854964\pi\) | |||||||
\(20\) | 1.05767 | + | 1.24519i | 0.236502 | + | 0.278432i | ||||
\(21\) | 9.05606 | − | 1.48467i | 1.97619 | − | 0.323981i | ||||
\(22\) | 0.580061 | + | 0.855526i | 0.123669 | + | 0.182399i | ||||
\(23\) | 0.725074 | + | 2.61148i | 0.151188 | + | 0.544532i | 0.999878 | + | 0.0156397i | \(0.00497849\pi\) |
−0.848689 | + | 0.528892i | \(0.822608\pi\) | |||||||
\(24\) | 4.95677i | 1.01180i | ||||||||
\(25\) | −1.00305 | + | 3.61268i | −0.200611 | + | 0.722535i | ||||
\(26\) | −1.62259 | + | 3.06054i | −0.318217 | + | 0.600221i | ||||
\(27\) | 3.66888 | − | 2.20749i | 0.706077 | − | 0.424832i | ||||
\(28\) | 6.07234 | + | 3.21935i | 1.14756 | + | 0.608400i | ||||
\(29\) | −4.12568 | − | 3.90805i | −0.766119 | − | 0.725706i | 0.201122 | − | 0.979566i | \(-0.435541\pi\) |
−0.967241 | + | 0.253860i | \(0.918300\pi\) | |||||||
\(30\) | 1.32571 | − | 0.898854i | 0.242040 | − | 0.164107i | ||||
\(31\) | −2.56508 | + | 4.83825i | −0.460701 | + | 0.868975i | 0.538944 | + | 0.842342i | \(0.318823\pi\) |
−0.999645 | + | 0.0266331i | \(0.991521\pi\) | |||||||
\(32\) | −3.54487 | + | 4.66319i | −0.626650 | + | 0.824344i | ||||
\(33\) | −2.42611 | + | 1.28624i | −0.422332 | + | 0.223906i | ||||
\(34\) | −2.22294 | − | 0.120525i | −0.381232 | − | 0.0206698i | ||||
\(35\) | −0.568851 | − | 5.23050i | −0.0961534 | − | 0.884116i | ||||
\(36\) | −1.16898 | − | 0.127134i | −0.194830 | − | 0.0211891i | ||||
\(37\) | −0.867697 | − | 3.12516i | −0.142649 | − | 0.513774i | 0.857351 | − | 0.514732i | \(-0.172109\pi\) |
−1.00000 | 0.000958628i | \(0.999695\pi\) | ||||||||
\(38\) | 0.454373 | + | 0.181039i | 0.0737090 | + | 0.0293684i | ||||
\(39\) | −7.61701 | − | 5.16446i | −1.21970 | − | 0.826976i | ||||
\(40\) | 2.83766 | + | 0.153853i | 0.448673 | + | 0.0243263i | ||||
\(41\) | 1.63331 | − | 1.92288i | 0.255080 | − | 0.300303i | −0.619685 | − | 0.784850i | \(-0.712740\pi\) |
0.874765 | + | 0.484547i | \(0.161016\pi\) | |||||||
\(42\) | 3.78134 | − | 5.57706i | 0.583474 | − | 0.860559i | ||||
\(43\) | 1.83728 | − | 8.34685i | 0.280183 | − | 1.27288i | −0.600672 | − | 0.799496i | \(-0.705100\pi\) |
0.880855 | − | 0.473387i | \(-0.156969\pi\) | |||||||
\(44\) | −2.02948 | − | 0.332716i | −0.305955 | − | 0.0501588i | ||||
\(45\) | 0.421637 | + | 0.795292i | 0.0628539 | + | 0.118555i | ||||
\(46\) | 1.75819 | + | 0.932131i | 0.259230 | + | 0.137435i | ||||
\(47\) | −3.19531 | + | 9.48335i | −0.466084 | + | 1.38329i | 0.414781 | + | 0.909921i | \(0.363858\pi\) |
−0.880865 | + | 0.473367i | \(0.843038\pi\) | |||||||
\(48\) | −1.49540 | − | 1.41651i | −0.215842 | − | 0.204456i | ||||
\(49\) | −7.08874 | − | 13.3708i | −1.01268 | − | 1.91011i | ||||
\(50\) | 1.41928 | + | 2.35886i | 0.200717 | + | 0.333594i | ||||
\(51\) | 0.956816 | − | 5.83632i | 0.133981 | − | 0.817248i | ||||
\(52\) | −2.20071 | − | 6.53148i | −0.305184 | − | 0.905754i | ||||
\(53\) | −0.277851 | + | 0.600564i | −0.0381657 | + | 0.0824938i | −0.925721 | − | 0.378208i | \(-0.876540\pi\) |
0.887555 | + | 0.460702i | \(0.152402\pi\) | |||||||
\(54\) | 0.675840 | − | 3.07037i | 0.0919702 | − | 0.417825i | ||||
\(55\) | 0.661044 | + | 1.42882i | 0.0891352 | + | 0.192663i | ||||
\(56\) | 11.3293 | − | 3.81729i | 1.51394 | − | 0.510106i | ||||
\(57\) | −0.608646 | + | 1.14803i | −0.0806171 | + | 0.152060i | ||||
\(58\) | −4.16642 | + | 0.225897i | −0.547078 | + | 0.0296617i | ||||
\(59\) | −0.553908 | + | 0.470494i | −0.0721127 | + | 0.0612531i | −0.682718 | − | 0.730682i | \(-0.739202\pi\) |
0.610605 | + | 0.791935i | \(0.290926\pi\) | |||||||
\(60\) | −0.515571 | + | 3.14485i | −0.0665600 | + | 0.405998i | ||||
\(61\) | −2.12830 | − | 2.24682i | −0.272500 | − | 0.287675i | 0.575354 | − | 0.817905i | \(-0.304864\pi\) |
−0.847854 | + | 0.530229i | \(0.822106\pi\) | |||||||
\(62\) | 1.28386 | + | 3.81035i | 0.163050 | + | 0.483915i | ||||
\(63\) | 2.88614 | + | 2.45151i | 0.363620 | + | 0.308862i | ||||
\(64\) | 0.354135 | + | 2.16013i | 0.0442669 | + | 0.270016i | ||||
\(65\) | −3.19298 | + | 4.20029i | −0.396040 | + | 0.520982i | ||||
\(66\) | −0.539396 | + | 1.94273i | −0.0663950 | + | 0.239133i | ||||
\(67\) | 0.751287 | − | 1.88559i | 0.0917843 | − | 0.230361i | −0.875916 | − | 0.482463i | \(-0.839742\pi\) |
0.967701 | + | 0.252102i | \(0.0811217\pi\) | |||||||
\(68\) | 3.21571 | − | 3.04608i | 0.389962 | − | 0.369392i | ||||
\(69\) | −2.96683 | + | 4.37574i | −0.357164 | + | 0.526777i | ||||
\(70\) | −3.07539 | − | 2.33785i | −0.367579 | − | 0.279426i | ||||
\(71\) | −0.500383 | − | 0.425029i | −0.0593845 | − | 0.0504417i | 0.617203 | − | 0.786804i | \(-0.288266\pi\) |
−0.676587 | + | 0.736363i | \(0.736542\pi\) | |||||||
\(72\) | −1.55890 | + | 1.32414i | −0.183718 | + | 0.156052i | ||||
\(73\) | 3.48159 | + | 2.09481i | 0.407490 | + | 0.245179i | 0.704512 | − | 0.709692i | \(-0.251166\pi\) |
−0.297022 | + | 0.954871i | \(0.595994\pi\) | |||||||
\(74\) | −2.10402 | − | 1.11548i | −0.244588 | − | 0.129672i | ||||
\(75\) | −6.63757 | + | 3.07087i | −0.766441 | + | 0.354593i | ||||
\(76\) | −0.883217 | + | 0.408620i | −0.101312 | + | 0.0468719i | ||||
\(77\) | 4.80825 | + | 4.55461i | 0.547951 | + | 0.519046i | ||||
\(78\) | −6.59907 | + | 1.45257i | −0.747198 | + | 0.164471i | ||||
\(79\) | −6.42022 | − | 13.8771i | −0.722331 | − | 1.56129i | −0.824073 | − | 0.566483i | \(-0.808304\pi\) |
0.101742 | − | 0.994811i | \(-0.467558\pi\) | |||||||
\(80\) | −0.857342 | + | 0.812118i | −0.0958538 | + | 0.0907975i | ||||
\(81\) | 10.2032 | + | 3.43787i | 1.13369 | + | 0.381985i | ||||
\(82\) | −0.200284 | − | 1.84158i | −0.0221176 | − | 0.203368i | ||||
\(83\) | −1.62205 | + | 1.23305i | −0.178043 | + | 0.135345i | −0.690400 | − | 0.723428i | \(-0.742566\pi\) |
0.512357 | + | 0.858773i | \(0.328772\pi\) | |||||||
\(84\) | 2.88200 | + | 13.0931i | 0.314452 | + | 1.42857i | ||||
\(85\) | −3.31148 | − | 0.728912i | −0.359180 | − | 0.0790616i | ||||
\(86\) | −3.52163 | − | 5.19402i | −0.379747 | − | 0.560086i | ||||
\(87\) | 0.600126 | − | 11.0687i | 0.0643403 | − | 1.18669i | ||||
\(88\) | −2.84785 | + | 2.16488i | −0.303582 | + | 0.230777i | ||||
\(89\) | 13.6987 | + | 9.28793i | 1.45206 | + | 0.984519i | 0.995494 | + | 0.0948278i | \(0.0302301\pi\) |
0.456563 | + | 0.889691i | \(0.349080\pi\) | |||||||
\(90\) | 0.636836 | + | 0.176817i | 0.0671285 | + | 0.0186381i | ||||
\(91\) | −5.93802 | + | 21.3868i | −0.622474 | + | 2.24195i | ||||
\(92\) | −3.75214 | + | 1.26424i | −0.391188 | + | 0.131806i | ||||
\(93\) | −10.4321 | + | 2.29629i | −1.08176 | + | 0.238114i | ||||
\(94\) | 3.44173 | + | 6.49179i | 0.354987 | + | 0.669577i | ||||
\(95\) | 0.638331 | + | 0.384071i | 0.0654914 | + | 0.0394049i | ||||
\(96\) | −11.4092 | + | 0.618587i | −1.16444 | + | 0.0631343i | ||||
\(97\) | 8.16232 | − | 10.7373i | 0.828758 | − | 1.09021i | −0.165813 | − | 0.986157i | \(-0.553025\pi\) |
0.994571 | − | 0.104055i | \(-0.0331819\pi\) | |||||||
\(98\) | −10.7068 | − | 2.97272i | −1.08155 | − | 0.300290i | ||||
\(99\) | −1.05263 | − | 0.419405i | −0.105793 | − | 0.0421518i | ||||
\(100\) | −5.34930 | − | 1.17747i | −0.534930 | − | 0.117747i | ||||
\(101\) | 0.0224952 | − | 0.00896291i | 0.00223836 | − | 0.000891843i | −0.369019 | − | 0.929422i | \(-0.620306\pi\) |
0.371257 | + | 0.928530i | \(0.378927\pi\) | |||||||
\(102\) | −2.62796 | − | 3.45702i | −0.260207 | − | 0.342296i | ||||
\(103\) | 7.01859 | − | 7.40944i | 0.691562 | − | 0.730074i | −0.281768 | − | 0.959483i | \(-0.590921\pi\) |
0.973330 | + | 0.229409i | \(0.0736794\pi\) | |||||||
\(104\) | −10.8807 | − | 5.03393i | −1.06694 | − | 0.493618i | ||||
\(105\) | 7.05776 | − | 7.45079i | 0.688767 | − | 0.727123i | ||||
\(106\) | 0.179838 | + | 0.451358i | 0.0174674 | + | 0.0438398i | ||||
\(107\) | 2.98065 | − | 1.18760i | 0.288150 | − | 0.114809i | −0.221585 | − | 0.975141i | \(-0.571123\pi\) |
0.509735 | + | 0.860332i | \(0.329744\pi\) | |||||||
\(108\) | 3.51034 | + | 5.17737i | 0.337783 | + | 0.498193i | ||||
\(109\) | −18.4973 | − | 2.01170i | −1.77172 | − | 0.192686i | −0.836792 | − | 0.547521i | \(-0.815572\pi\) |
−0.934929 | + | 0.354834i | \(0.884537\pi\) | |||||||
\(110\) | 1.09543 | + | 0.369094i | 0.104445 | + | 0.0351917i | ||||
\(111\) | 3.55040 | − | 5.23646i | 0.336990 | − | 0.497022i | ||||
\(112\) | −2.08599 | + | 4.50879i | −0.197107 | + | 0.426041i | ||||
\(113\) | 11.9671 | + | 12.6335i | 1.12577 | + | 1.18846i | 0.979971 | + | 0.199142i | \(0.0638155\pi\) |
0.145795 | + | 0.989315i | \(0.453426\pi\) | |||||||
\(114\) | 0.304636 | + | 0.904126i | 0.0285317 | + | 0.0846792i | ||||
\(115\) | 2.41294 | + | 1.83427i | 0.225008 | + | 0.171046i | ||||
\(116\) | 5.37454 | − | 6.32740i | 0.499014 | − | 0.587484i | ||||
\(117\) | −0.410574 | − | 3.77517i | −0.0379576 | − | 0.349014i | ||||
\(118\) | −0.0288895 | + | 0.532835i | −0.00265949 | + | 0.0490515i | ||||
\(119\) | −14.0765 | + | 2.30772i | −1.29039 | + | 0.211548i | ||||
\(120\) | 3.35467 | + | 4.41299i | 0.306238 | + | 0.402849i | ||||
\(121\) | 8.18473 | + | 3.78666i | 0.744066 | + | 0.344242i | ||||
\(122\) | −2.27234 | −0.205728 | ||||||||
\(123\) | 4.92126 | 0.443735 | ||||||||
\(124\) | −7.26064 | − | 3.35913i | −0.652025 | − | 0.301659i | ||||
\(125\) | 3.62167 | + | 9.08971i | 0.323932 | + | 0.813008i | ||||
\(126\) | 2.76412 | − | 0.300616i | 0.246248 | − | 0.0267810i | ||||
\(127\) | −0.961861 | − | 4.36978i | −0.0853514 | − | 0.387755i | 0.914507 | − | 0.404570i | \(-0.132579\pi\) |
−0.999859 | + | 0.0168143i | \(0.994648\pi\) | |||||||
\(128\) | −8.36625 | − | 5.67246i | −0.739479 | − | 0.501379i | ||||
\(129\) | 14.7293 | − | 7.80896i | 1.29684 | − | 0.687541i | ||||
\(130\) | 0.626737 | + | 3.82293i | 0.0549685 | + | 0.335293i | ||||
\(131\) | −11.6143 | + | 9.86530i | −1.01475 | + | 0.861936i | −0.990464 | − | 0.137770i | \(-0.956007\pi\) |
−0.0242846 | + | 0.999705i | \(0.507731\pi\) | |||||||
\(132\) | −2.06818 | − | 3.43735i | −0.180012 | − | 0.299183i | ||||
\(133\) | 3.09268 | + | 0.507020i | 0.268170 | + | 0.0439642i | ||||
\(134\) | −0.625772 | − | 1.35258i | −0.0540585 | − | 0.116845i | ||||
\(135\) | 1.77239 | − | 4.44836i | 0.152543 | − | 0.382854i | ||||
\(136\) | − | 7.70466i | − | 0.660669i | ||||||
\(137\) | 17.0473 | + | 6.79225i | 1.45645 | + | 0.580301i | 0.958038 | − | 0.286642i | \(-0.0925389\pi\) |
0.498408 | + | 0.866943i | \(0.333918\pi\) | |||||||
\(138\) | 0.834455 | + | 3.79097i | 0.0710335 | + | 0.322709i | ||||
\(139\) | −0.247483 | − | 4.56456i | −0.0209912 | − | 0.387161i | −0.990085 | − | 0.140469i | \(-0.955139\pi\) |
0.969094 | − | 0.246692i | \(-0.0793437\pi\) | |||||||
\(140\) | 7.58497 | − | 1.24349i | 0.641047 | − | 0.105094i | ||||
\(141\) | −18.1338 | + | 7.22517i | −1.52714 | + | 0.608469i | ||||
\(142\) | −0.479227 | + | 0.0521191i | −0.0402159 | + | 0.00437374i | ||||
\(143\) | −0.359568 | − | 6.63184i | −0.0300686 | − | 0.554583i | ||||
\(144\) | 0.0460155 | − | 0.848706i | 0.00383463 | − | 0.0707255i | ||||
\(145\) | −6.31797 | − | 0.687121i | −0.524679 | − | 0.0570623i | ||||
\(146\) | 2.87464 | − | 0.798140i | 0.237907 | − | 0.0660546i | ||||
\(147\) | 10.9265 | − | 27.4234i | 0.901200 | − | 2.26184i | ||||
\(148\) | 4.49019 | − | 1.51292i | 0.369091 | − | 0.124361i | ||||
\(149\) | −8.14503 | + | 5.52247i | −0.667267 | + | 0.452418i | −0.847210 | − | 0.531259i | \(-0.821719\pi\) |
0.179942 | + | 0.983677i | \(0.442409\pi\) | |||||||
\(150\) | −1.71462 | + | 5.08880i | −0.139998 | + | 0.415499i | ||||
\(151\) | 6.35247 | − | 2.93897i | 0.516957 | − | 0.239170i | −0.144022 | − | 0.989575i | \(-0.546003\pi\) |
0.660979 | + | 0.750405i | \(0.270141\pi\) | |||||||
\(152\) | −0.540501 | + | 1.60415i | −0.0438404 | + | 0.130114i | ||||
\(153\) | 2.09112 | − | 1.25818i | 0.169057 | − | 0.101718i | ||||
\(154\) | 4.85574 | − | 0.263270i | 0.391286 | − | 0.0212149i | ||||
\(155\) | 0.990776 | + | 6.04347i | 0.0795810 | + | 0.485423i | ||||
\(156\) | 6.93120 | − | 11.5197i | 0.554940 | − | 0.922317i | ||||
\(157\) | −13.1405 | + | 15.4702i | −1.04873 | + | 1.23465i | −0.0773751 | + | 0.997002i | \(0.524654\pi\) |
−0.971350 | + | 0.237653i | \(0.923622\pi\) | |||||||
\(158\) | −10.6391 | − | 3.58473i | −0.846401 | − | 0.285186i | ||||
\(159\) | −1.24372 | + | 0.345317i | −0.0986335 | + | 0.0273854i | ||||
\(160\) | 6.55073i | 0.517880i | ||||||||
\(161\) | 12.2861 | + | 3.41122i | 0.968279 | + | 0.268841i | ||||
\(162\) | 6.98458 | − | 3.70299i | 0.548761 | − | 0.290934i | ||||
\(163\) | 6.52167 | − | 10.8391i | 0.510817 | − | 0.848984i | −0.488910 | − | 0.872334i | \(-0.662605\pi\) |
0.999727 | + | 0.0233496i | \(0.00743308\pi\) | |||||||
\(164\) | 2.93417 | + | 2.23049i | 0.229120 | + | 0.174172i | ||||
\(165\) | −1.28944 | + | 2.78709i | −0.100383 | + | 0.216974i | ||||
\(166\) | −0.161749 | + | 1.48726i | −0.0125542 | + | 0.115434i | ||||
\(167\) | 1.21881 | + | 2.02568i | 0.0943144 | + | 0.156752i | 0.900422 | − | 0.435017i | \(-0.143258\pi\) |
−0.806108 | + | 0.591769i | \(0.798430\pi\) | |||||||
\(168\) | 19.9818 | + | 12.0226i | 1.54163 | + | 0.927567i | ||||
\(169\) | 7.93300 | − | 4.77313i | 0.610231 | − | 0.367164i | ||||
\(170\) | −2.06064 | + | 1.39715i | −0.158044 | + | 0.107157i | ||||
\(171\) | −0.523646 | + | 0.115263i | −0.0400442 | + | 0.00881440i | ||||
\(172\) | 12.3212 | + | 2.01996i | 0.939486 | + | 0.154021i | ||||
\(173\) | −1.10803 | + | 10.1882i | −0.0842421 | + | 0.774593i | 0.873473 | + | 0.486873i | \(0.161863\pi\) |
−0.957715 | + | 0.287720i | \(0.907103\pi\) | |||||||
\(174\) | −5.59721 | − | 5.90890i | −0.424323 | − | 0.447953i | ||||
\(175\) | 12.1305 | + | 12.8061i | 0.916982 | + | 0.968047i | ||||
\(176\) | 0.160723 | − | 1.47783i | 0.0121150 | − | 0.111395i | ||||
\(177\) | −1.39895 | − | 0.229347i | −0.105152 | − | 0.0172388i | ||||
\(178\) | 11.8680 | − | 2.61234i | 0.889543 | − | 0.195803i | ||||
\(179\) | 0.282645 | − | 0.191638i | 0.0211259 | − | 0.0143237i | −0.550578 | − | 0.834783i | \(-0.685593\pi\) |
0.571704 | + | 0.820460i | \(0.306282\pi\) | |||||||
\(180\) | −1.12678 | + | 0.677961i | −0.0839852 | + | 0.0505322i | ||||
\(181\) | 17.5076 | + | 10.5339i | 1.30133 | + | 0.782982i | 0.986119 | − | 0.166041i | \(-0.0530984\pi\) |
0.315207 | + | 0.949023i | \(0.397926\pi\) | |||||||
\(182\) | 8.40206 | + | 13.9643i | 0.622802 | + | 1.03511i | ||||
\(183\) | 0.652691 | − | 6.00139i | 0.0482483 | − | 0.443636i | ||||
\(184\) | −2.89184 | + | 6.25061i | −0.213189 | + | 0.460801i | ||||
\(185\) | −2.88757 | − | 2.19507i | −0.212298 | − | 0.161385i | ||||
\(186\) | −4.04353 | + | 6.72041i | −0.296486 | + | 0.492764i | ||||
\(187\) | 3.77107 | − | 1.99930i | 0.275768 | − | 0.146203i | ||||
\(188\) | −14.0865 | − | 3.91110i | −1.02736 | − | 0.285246i | ||||
\(189\) | − | 20.1443i | − | 1.46528i | ||||||
\(190\) | 0.527050 | − | 0.146335i | 0.0382362 | − | 0.0106162i | ||||
\(191\) | −16.6817 | − | 5.62071i | −1.20704 | − | 0.406700i | −0.357346 | − | 0.933972i | \(-0.616318\pi\) |
−0.849696 | + | 0.527272i | \(0.823215\pi\) | |||||||
\(192\) | −2.76423 | + | 3.25430i | −0.199491 | + | 0.234859i | ||||
\(193\) | −2.67018 | + | 4.43787i | −0.192204 | + | 0.319445i | −0.937941 | − | 0.346795i | \(-0.887270\pi\) |
0.745737 | + | 0.666240i | \(0.232097\pi\) | |||||||
\(194\) | −1.60215 | − | 9.77268i | −0.115028 | − | 0.701638i | ||||
\(195\) | −10.2766 | + | 0.557182i | −0.735923 | + | 0.0399006i | ||||
\(196\) | 18.9439 | − | 11.3982i | 1.35314 | − | 0.814155i | ||||
\(197\) | 8.45982 | − | 25.1079i | 0.602737 | − | 1.78886i | −0.0117464 | − | 0.999931i | \(-0.503739\pi\) |
0.614484 | − | 0.788930i | \(-0.289364\pi\) | |||||||
\(198\) | −0.755079 | + | 0.349337i | −0.0536612 | + | 0.0248263i | ||||
\(199\) | 2.61036 | − | 7.74728i | 0.185044 | − | 0.549190i | −0.814475 | − | 0.580198i | \(-0.802975\pi\) |
0.999519 | + | 0.0310078i | \(0.00987168\pi\) | |||||||
\(200\) | −7.88586 | + | 5.34675i | −0.557614 | + | 0.378072i | ||||
\(201\) | 3.75200 | − | 1.26420i | 0.264646 | − | 0.0891696i | ||||
\(202\) | 0.00658095 | − | 0.0165169i | 0.000463034 | − | 0.00116213i | ||||
\(203\) | −25.7610 | + | 7.15250i | −1.80806 | + | 0.502007i | ||||
\(204\) | 8.58938 | + | 0.934151i | 0.601377 | + | 0.0654036i | ||||
\(205\) | 0.152751 | − | 2.81732i | 0.0106686 | − | 0.196770i | ||||
\(206\) | −0.405696 | − | 7.48262i | −0.0282662 | − | 0.521339i | ||||
\(207\) | −2.16872 | + | 0.235863i | −0.150736 | + | 0.0163936i | ||||
\(208\) | 4.62808 | − | 1.84400i | 0.320900 | − | 0.127858i | ||||
\(209\) | −0.925412 | + | 0.151714i | −0.0640121 | + | 0.0104942i | ||||
\(210\) | −0.407960 | − | 7.52438i | −0.0281519 | − | 0.519231i | ||||
\(211\) | 0.0407224 | + | 0.185004i | 0.00280345 | + | 0.0127362i | 0.978002 | − | 0.208598i | \(-0.0668899\pi\) |
−0.975198 | + | 0.221334i | \(0.928959\pi\) | |||||||
\(212\) | −0.898046 | − | 0.357814i | −0.0616780 | − | 0.0245748i | ||||
\(213\) | − | 1.28064i | − | 0.0877480i | ||||||
\(214\) | 0.871985 | − | 2.18852i | 0.0596077 | − | 0.149604i | ||||
\(215\) | −4.01330 | − | 8.67460i | −0.273705 | − | 0.591603i | ||||
\(216\) | 10.7373 | + | 1.76028i | 0.730578 | + | 0.119772i | ||||
\(217\) | 13.2824 | + | 22.0755i | 0.901667 | + | 1.49858i | ||||
\(218\) | −10.4124 | + | 8.84433i | −0.705214 | + | 0.599014i | ||||
\(219\) | 1.28225 | + | 7.82136i | 0.0866463 | + | 0.528519i | ||||
\(220\) | −2.03201 | + | 1.07730i | −0.136998 | + | 0.0726317i | ||||
\(221\) | 11.8397 | + | 8.02748i | 0.796421 | + | 0.539987i | ||||
\(222\) | −0.998593 | − | 4.53666i | −0.0670212 | − | 0.304480i | ||||
\(223\) | −0.460673 | + | 0.0501012i | −0.0308489 | + | 0.00335502i | −0.123530 | − | 0.992341i | \(-0.539422\pi\) |
0.0926815 | + | 0.995696i | \(0.470456\pi\) | |||||||
\(224\) | 10.2002 | + | 25.6007i | 0.681532 | + | 1.71052i | ||||
\(225\) | −2.73893 | − | 1.26717i | −0.182596 | − | 0.0844777i | ||||
\(226\) | 12.7770 | 0.849912 | ||||||||
\(227\) | −19.7047 | −1.30785 | −0.653924 | − | 0.756561i | \(-0.726878\pi\) | ||||
−0.653924 | + | 0.756561i | \(0.726878\pi\) | |||||||
\(228\) | −1.72282 | − | 0.797060i | −0.114096 | − | 0.0527866i | ||||
\(229\) | 12.8794 | + | 16.9426i | 0.851094 | + | 1.11960i | 0.991578 | + | 0.129512i | \(0.0413412\pi\) |
−0.140483 | + | 0.990083i | \(0.544866\pi\) | |||||||
\(230\) | 2.19616 | − | 0.360041i | 0.144810 | − | 0.0237404i | ||||
\(231\) | −0.699414 | + | 12.8999i | −0.0460180 | + | 0.848753i | ||||
\(232\) | −1.56131 | − | 14.3561i | −0.102505 | − | 0.942521i | ||||
\(233\) | −15.1685 | + | 17.8578i | −0.993722 | + | 1.16990i | −0.00826676 | + | 0.999966i | \(0.502631\pi\) |
−0.985455 | + | 0.169934i | \(0.945644\pi\) | |||||||
\(234\) | −2.21969 | − | 1.68737i | −0.145106 | − | 0.110307i | ||||
\(235\) | 3.57341 | + | 10.6055i | 0.233104 | + | 0.691827i | ||||
\(236\) | −0.730140 | − | 0.770799i | −0.0475281 | − | 0.0501748i | ||||
\(237\) | 12.5234 | − | 27.0689i | 0.813482 | − | 1.75831i | ||||
\(238\) | −5.87760 | + | 8.66882i | −0.380988 | + | 0.561916i | ||||
\(239\) | 28.3683 | + | 9.55839i | 1.83499 | + | 0.618281i | 0.997406 | + | 0.0719761i | \(0.0229305\pi\) |
0.837586 | + | 0.546305i | \(0.183966\pi\) | |||||||
\(240\) | −2.29002 | − | 0.249054i | −0.147820 | − | 0.0160764i | ||||
\(241\) | −9.16495 | − | 13.5173i | −0.590366 | − | 0.870725i | 0.408755 | − | 0.912644i | \(-0.365963\pi\) |
−0.999121 | + | 0.0419190i | \(0.986653\pi\) | |||||||
\(242\) | 6.15129 | − | 2.45090i | 0.395420 | − | 0.157550i | ||||
\(243\) | 3.01907 | + | 7.57730i | 0.193674 | + | 0.486084i | ||||
\(244\) | 3.10920 | − | 3.28234i | 0.199046 | − | 0.210131i | ||||
\(245\) | −15.3602 | − | 7.10638i | −0.981327 | − | 0.454010i | ||||
\(246\) | 2.48493 | − | 2.62331i | 0.158433 | − | 0.167256i | ||||
\(247\) | −1.90193 | − | 2.50194i | −0.121017 | − | 0.159195i | ||||
\(248\) | −12.9273 | + | 5.15070i | −0.820884 | + | 0.327070i | ||||
\(249\) | −3.88149 | − | 0.854381i | −0.245979 | − | 0.0541442i | ||||
\(250\) | 6.67405 | + | 2.65919i | 0.422104 | + | 0.168182i | ||||
\(251\) | 6.30108 | + | 1.74949i | 0.397721 | + | 0.110427i | 0.460629 | − | 0.887593i | \(-0.347624\pi\) |
−0.0629085 | + | 0.998019i | \(0.520038\pi\) | |||||||
\(252\) | −3.34787 | + | 4.40404i | −0.210896 | + | 0.277429i | ||||
\(253\) | −3.80979 | + | 0.206561i | −0.239520 | + | 0.0129864i | ||||
\(254\) | −2.81502 | − | 1.69374i | −0.176630 | − | 0.106275i | ||||
\(255\) | −3.09808 | − | 5.84360i | −0.194009 | − | 0.365940i | ||||
\(256\) | −11.5238 | + | 2.53657i | −0.720235 | + | 0.158536i | ||||
\(257\) | −9.21797 | + | 3.10590i | −0.575001 | + | 0.193740i | −0.591753 | − | 0.806119i | \(-0.701564\pi\) |
0.0167521 | + | 0.999860i | \(0.494667\pi\) | |||||||
\(258\) | 3.27475 | − | 11.7946i | 0.203877 | − | 0.734299i | ||||
\(259\) | −14.7028 | − | 4.08221i | −0.913586 | − | 0.253656i | ||||
\(260\) | −6.37969 | − | 4.32554i | −0.395651 | − | 0.268258i | ||||
\(261\) | 3.64141 | − | 2.76812i | 0.225397 | − | 0.171343i | ||||
\(262\) | −0.605754 | + | 11.1725i | −0.0374236 | + | 0.690238i | ||||
\(263\) | 14.0621 | + | 20.7401i | 0.867108 | + | 1.27889i | 0.959082 | + | 0.283128i | \(0.0913720\pi\) |
−0.0919738 | + | 0.995761i | \(0.529318\pi\) | |||||||
\(264\) | −6.81477 | − | 1.50004i | −0.419420 | − | 0.0923213i | ||||
\(265\) | 0.159084 | + | 0.722724i | 0.00977243 | + | 0.0443966i | ||||
\(266\) | 1.83188 | − | 1.39256i | 0.112320 | − | 0.0853835i | ||||
\(267\) | 3.49048 | + | 32.0944i | 0.213614 | + | 1.96415i | ||||
\(268\) | 2.81001 | + | 0.946803i | 0.171649 | + | 0.0578352i | ||||
\(269\) | −4.84435 | + | 4.58881i | −0.295365 | + | 0.279785i | −0.821003 | − | 0.570924i | \(-0.806585\pi\) |
0.525638 | + | 0.850708i | \(0.323827\pi\) | |||||||
\(270\) | −1.47628 | − | 3.19093i | −0.0898437 | − | 0.194194i | ||||
\(271\) | −22.3587 | + | 4.92151i | −1.35819 | + | 0.298961i | −0.833588 | − | 0.552386i | \(-0.813717\pi\) |
−0.524603 | + | 0.851347i | \(0.675786\pi\) | |||||||
\(272\) | 2.32440 | + | 2.20179i | 0.140937 | + | 0.133503i | ||||
\(273\) | −39.2941 | + | 18.1794i | −2.37818 | + | 1.10027i | ||||
\(274\) | 12.2285 | − | 5.65749i | 0.738749 | − | 0.341782i | ||||
\(275\) | −4.66330 | − | 2.47232i | −0.281208 | − | 0.149087i | ||||
\(276\) | −6.61774 | − | 3.98176i | −0.398341 | − | 0.239674i | ||||
\(277\) | −14.9307 | + | 12.6823i | −0.897101 | + | 0.762004i | −0.971949 | − | 0.235191i | \(-0.924429\pi\) |
0.0748486 | + | 0.997195i | \(0.476153\pi\) | |||||||
\(278\) | −2.55813 | − | 2.17290i | −0.153427 | − | 0.130322i | ||||
\(279\) | −3.50900 | − | 2.66747i | −0.210078 | − | 0.159697i | ||||
\(280\) | 7.50294 | − | 11.0660i | 0.448386 | − | 0.661320i | ||||
\(281\) | 23.4224 | − | 22.1869i | 1.39726 | − | 1.32356i | 0.511607 | − | 0.859219i | \(-0.329050\pi\) |
0.885657 | − | 0.464340i | \(-0.153708\pi\) | |||||||
\(282\) | −5.30503 | + | 13.3146i | −0.315910 | + | 0.792874i | ||||
\(283\) | 5.16047 | − | 18.5863i | 0.306758 | − | 1.10484i | −0.636089 | − | 0.771616i | \(-0.719449\pi\) |
0.942847 | − | 0.333227i | \(-0.108137\pi\) | |||||||
\(284\) | 0.580433 | − | 0.763547i | 0.0344424 | − | 0.0453082i | ||||
\(285\) | 0.235093 | + | 1.43400i | 0.0139257 | + | 0.0849431i | ||||
\(286\) | −3.71671 | − | 3.15700i | −0.219774 | − | 0.186677i | ||||
\(287\) | −3.78993 | − | 11.2481i | −0.223713 | − | 0.663956i | ||||
\(288\) | −3.24237 | − | 3.42293i | −0.191058 | − | 0.201698i | ||||
\(289\) | 1.26305 | − | 7.70425i | 0.0742970 | − | 0.453191i | ||||
\(290\) | −3.55646 | + | 3.02088i | −0.208843 | + | 0.177392i | ||||
\(291\) | 26.2705 | − | 1.42434i | 1.54000 | − | 0.0834965i | ||||
\(292\) | −2.78043 | + | 5.24444i | −0.162712 | + | 0.306908i | ||||
\(293\) | 18.3046 | − | 6.16753i | 1.06936 | − | 0.360311i | 0.271059 | − | 0.962563i | \(-0.412626\pi\) |
0.798306 | + | 0.602252i | \(0.205730\pi\) | |||||||
\(294\) | −9.10102 | − | 19.6715i | −0.530782 | − | 1.14727i | ||||
\(295\) | −0.174719 | + | 0.793755i | −0.0101725 | + | 0.0462142i | ||||
\(296\) | 3.46067 | − | 7.48012i | 0.201147 | − | 0.434773i | ||||
\(297\) | 1.92465 | + | 5.71217i | 0.111680 | + | 0.331454i | ||||
\(298\) | −1.16895 | + | 7.13027i | −0.0677154 | + | 0.413046i | ||||
\(299\) | −6.59223 | − | 10.9564i | −0.381238 | − | 0.633623i | ||||
\(300\) | −5.00458 | − | 9.43965i | −0.288940 | − | 0.544998i | ||||
\(301\) | −29.1916 | − | 27.6517i | −1.68257 | − | 1.59382i | ||||
\(302\) | 1.64097 | − | 4.87023i | 0.0944273 | − | 0.280250i | ||||
\(303\) | 0.0417320 | + | 0.0221249i | 0.00239744 | + | 0.00127104i | ||||
\(304\) | −0.329491 | − | 0.621486i | −0.0188976 | − | 0.0356446i | ||||
\(305\) | −3.41542 | − | 0.559930i | −0.195566 | − | 0.0320615i | ||||
\(306\) | 0.385202 | − | 1.74999i | 0.0220205 | − | 0.100040i | ||||
\(307\) | −9.80779 | + | 14.4654i | −0.559760 | + | 0.825585i | −0.997286 | − | 0.0736210i | \(-0.976544\pi\) |
0.437526 | + | 0.899206i | \(0.355855\pi\) | |||||||
\(308\) | −6.26373 | + | 7.37423i | −0.356909 | + | 0.420186i | ||||
\(309\) | 19.8786 | + | 1.07779i | 1.13085 | + | 0.0613131i | ||||
\(310\) | 3.72179 | + | 2.52344i | 0.211384 | + | 0.143322i | ||||
\(311\) | −18.4034 | − | 7.33260i | −1.04356 | − | 0.415794i | −0.215545 | − | 0.976494i | \(-0.569153\pi\) |
−0.828019 | + | 0.560700i | \(0.810532\pi\) | |||||||
\(312\) | −6.25625 | − | 22.5330i | −0.354191 | − | 1.27568i | ||||
\(313\) | 7.80944 | + | 0.849328i | 0.441416 | + | 0.0480068i | 0.326129 | − | 0.945325i | \(-0.394256\pi\) |
0.115287 | + | 0.993332i | \(0.463221\pi\) | |||||||
\(314\) | 1.61135 | + | 14.8161i | 0.0909337 | + | 0.836122i | ||||
\(315\) | 4.22866 | + | 0.229272i | 0.238258 | + | 0.0129180i | ||||
\(316\) | 19.7353 | − | 10.4630i | 1.11020 | − | 0.588591i | ||||
\(317\) | −5.89107 | + | 7.74956i | −0.330875 | + | 0.435259i | −0.931206 | − | 0.364493i | \(-0.881242\pi\) |
0.600331 | + | 0.799752i | \(0.295036\pi\) | |||||||
\(318\) | −0.443929 | + | 0.837338i | −0.0248943 | + | 0.0469556i | ||||
\(319\) | 6.62147 | − | 4.48947i | 0.370731 | − | 0.251362i | ||||
\(320\) | 1.77723 | + | 1.68348i | 0.0993500 | + | 0.0941093i | ||||
\(321\) | 5.52955 | + | 2.93158i | 0.308629 | + | 0.163625i | ||||
\(322\) | 8.02209 | − | 4.82673i | 0.447054 | − | 0.268983i | ||||
\(323\) | 0.946061 | − | 1.78446i | 0.0526402 | − | 0.0992900i | ||||
\(324\) | −4.20799 | + | 15.1558i | −0.233777 | + | 0.841990i | ||||
\(325\) | − | 17.6889i | − | 0.981202i | ||||||
\(326\) | −2.48482 | − | 8.94951i | −0.137621 | − | 0.495667i | ||||
\(327\) | −20.3677 | − | 30.0401i | −1.12634 | − | 1.66122i | ||||
\(328\) | 6.32662 | − | 1.03720i | 0.349329 | − | 0.0572696i | ||||
\(329\) | 30.4791 | + | 35.8828i | 1.68037 | + | 1.97828i | ||||
\(330\) | 0.834587 | + | 2.09465i | 0.0459425 | + | 0.115307i | ||||
\(331\) | −1.51339 | − | 1.99084i | −0.0831836 | − | 0.109426i | 0.752619 | − | 0.658456i | \(-0.228790\pi\) |
−0.835803 | + | 0.549030i | \(0.814997\pi\) | |||||||
\(332\) | −1.92700 | − | 2.26864i | −0.105758 | − | 0.124508i | ||||
\(333\) | 2.59531 | − | 0.282257i | 0.142222 | − | 0.0154676i | ||||
\(334\) | 1.69523 | + | 0.373148i | 0.0927587 | + | 0.0204177i | ||||
\(335\) | −0.607270 | − | 2.18719i | −0.0331787 | − | 0.119499i | ||||
\(336\) | −9.33734 | + | 2.59250i | −0.509394 | + | 0.141432i | ||||
\(337\) | −0.960601 | + | 0.909930i | −0.0523273 | + | 0.0495670i | −0.713416 | − | 0.700740i | \(-0.752853\pi\) |
0.661089 | + | 0.750307i | \(0.270095\pi\) | |||||||
\(338\) | 1.46133 | − | 6.63888i | 0.0794857 | − | 0.361107i | ||||
\(339\) | −3.66997 | + | 33.7448i | −0.199325 | + | 1.83277i | ||||
\(340\) | 0.801388 | − | 4.88825i | 0.0434614 | − | 0.265103i | ||||
\(341\) | −5.87556 | − | 4.99074i | −0.318179 | − | 0.270264i | ||||
\(342\) | −0.202967 | + | 0.337334i | −0.0109752 | + | 0.0182409i | ||||
\(343\) | −38.2099 | − | 2.07168i | −2.06314 | − | 0.111860i | ||||
\(344\) | 17.2897 | − | 13.1433i | 0.932199 | − | 0.708639i | ||||
\(345\) | 0.320084 | + | 5.90360i | 0.0172327 | + | 0.317839i | ||||
\(346\) | 4.87139 | + | 5.73505i | 0.261888 | + | 0.308318i | ||||
\(347\) | −15.2188 | + | 16.0662i | −0.816985 | + | 0.862481i | −0.992531 | − | 0.121990i | \(-0.961072\pi\) |
0.175546 | + | 0.984471i | \(0.443831\pi\) | |||||||
\(348\) | 16.1938 | 0.868081 | ||||||||
\(349\) | 12.5495 | − | 13.8387i | 0.671759 | − | 0.740770i | ||||
\(350\) | 12.9515 | 0.692288 | ||||||||
\(351\) | −13.8922 | + | 14.6658i | −0.741508 | + | 0.782801i | ||||
\(352\) | −5.33838 | − | 6.28482i | −0.284537 | − | 0.334982i | ||||
\(353\) | 0.0733953 | + | 1.35370i | 0.00390644 | + | 0.0720500i | 0.999837 | − | 0.0180787i | \(-0.00575493\pi\) |
−0.995930 | + | 0.0901287i | \(0.971272\pi\) | |||||||
\(354\) | −0.828640 | + | 0.629916i | −0.0440417 | + | 0.0334797i | ||||
\(355\) | −0.733141 | − | 0.0397498i | −0.0389111 | − | 0.00210970i | ||||
\(356\) | −12.4653 | + | 20.7175i | −0.660659 | + | 1.09802i | ||||
\(357\) | −21.2067 | − | 18.0131i | −1.12238 | − | 0.953354i | ||||
\(358\) | 0.0405643 | − | 0.247431i | 0.00214389 | − | 0.0130771i | ||||
\(359\) | −1.00505 | + | 9.24129i | −0.0530445 | + | 0.487736i | 0.937240 | + | 0.348684i | \(0.113371\pi\) |
−0.990285 | + | 0.139053i | \(0.955594\pi\) | |||||||
\(360\) | −0.491722 | + | 2.23392i | −0.0259160 | + | 0.117738i | ||||
\(361\) | 13.4718 | − | 12.7611i | 0.709040 | − | 0.671638i | ||||
\(362\) | 14.4554 | − | 4.01353i | 0.759760 | − | 0.210946i | ||||
\(363\) | 4.70612 | + | 16.9499i | 0.247007 | + | 0.889640i | ||||
\(364\) | −31.6676 | − | 6.97056i | −1.65983 | − | 0.365357i | ||||
\(365\) | 4.51738 | − | 0.491294i | 0.236450 | − | 0.0257155i | ||||
\(366\) | −2.86952 | − | 3.37825i | −0.149992 | − | 0.176584i | ||||
\(367\) | 5.37556 | + | 7.07143i | 0.280602 | + | 0.369126i | 0.914705 | − | 0.404123i | \(-0.132423\pi\) |
−0.634102 | + | 0.773249i | \(0.718630\pi\) | |||||||
\(368\) | −1.05932 | − | 2.65869i | −0.0552209 | − | 0.138594i | ||||
\(369\) | 1.31465 | + | 1.54773i | 0.0684382 | + | 0.0805717i | ||||
\(370\) | −2.62814 | + | 0.430862i | −0.136631 | + | 0.0223994i | ||||
\(371\) | 1.74707 | + | 2.57674i | 0.0907035 | + | 0.133778i | ||||
\(372\) | −4.17478 | − | 15.0362i | −0.216452 | − | 0.779591i | ||||
\(373\) | 28.5785i | 1.47974i | 0.672749 | + | 0.739870i | \(0.265113\pi\) | ||||
−0.672749 | + | 0.739870i | \(0.734887\pi\) | |||||||
\(374\) | 0.838420 | − | 3.01972i | 0.0433537 | − | 0.156146i | ||||
\(375\) | −8.94008 | + | 16.8628i | −0.461664 | + | 0.870791i | ||||
\(376\) | −21.7895 | + | 13.1103i | −1.12371 | + | 0.676114i | ||||
\(377\) | 23.6875 | + | 12.5583i | 1.21997 | + | 0.646786i | ||||
\(378\) | −10.7381 | − | 10.1716i | −0.552306 | − | 0.523172i | ||||
\(379\) | −15.5172 | + | 10.5209i | −0.797067 | + | 0.540425i | −0.890383 | − | 0.455212i | \(-0.849563\pi\) |
0.0933165 | + | 0.995636i | \(0.470253\pi\) | |||||||
\(380\) | −0.509776 | + | 0.961539i | −0.0261510 | + | 0.0493259i | ||||
\(381\) | 5.28185 | − | 6.94815i | 0.270597 | − | 0.355965i | ||||
\(382\) | −11.4194 | + | 6.05416i | −0.584266 | + | 0.309758i | ||||
\(383\) | −12.1595 | − | 0.659270i | −0.621322 | − | 0.0336871i | −0.259209 | − | 0.965821i | \(-0.583462\pi\) |
−0.362113 | + | 0.932134i | \(0.617945\pi\) | |||||||
\(384\) | −2.13176 | − | 19.6012i | −0.108786 | − | 1.00027i | ||||
\(385\) | 7.36325 | + | 0.800801i | 0.375266 | + | 0.0408126i | ||||
\(386\) | 1.01736 | + | 3.66421i | 0.0517824 | + | 0.186503i | ||||
\(387\) | 6.39066 | + | 2.54627i | 0.324855 | + | 0.129434i | ||||
\(388\) | 16.3086 | + | 11.0575i | 0.827945 | + | 0.561360i | ||||
\(389\) | 31.7628 | + | 1.72213i | 1.61044 | + | 0.0873154i | 0.837235 | − | 0.546843i | \(-0.184171\pi\) |
0.773203 | + | 0.634159i | \(0.218653\pi\) | |||||||
\(390\) | −4.89204 | + | 5.75936i | −0.247718 | + | 0.291637i | ||||
\(391\) | 4.61155 | − | 6.80152i | 0.233216 | − | 0.343968i | ||||
\(392\) | 8.26704 | − | 37.5575i | 0.417549 | − | 1.89694i | ||||
\(393\) | −29.3332 | − | 4.80894i | −1.47966 | − | 0.242579i | ||||
\(394\) | −9.11223 | − | 17.1875i | −0.459067 | − | 0.865893i | ||||
\(395\) | −15.1077 | − | 8.00959i | −0.760150 | − | 0.403006i | ||||
\(396\) | 0.528552 | − | 1.56869i | 0.0265608 | − | 0.0788295i | ||||
\(397\) | −19.1759 | − | 18.1643i | −0.962409 | − | 0.911642i | 0.0337301 | − | 0.999431i | \(-0.489261\pi\) |
−0.996139 | + | 0.0877888i | \(0.972020\pi\) | |||||||
\(398\) | −2.81167 | − | 5.30337i | −0.140936 | − | 0.265834i | ||||
\(399\) | 3.15167 | + | 5.23811i | 0.157781 | + | 0.262234i | ||||
\(400\) | 0.640524 | − | 3.90702i | 0.0320262 | − | 0.195351i | ||||
\(401\) | −10.2983 | − | 30.5641i | −0.514271 | − | 1.52630i | −0.818961 | − | 0.573849i | \(-0.805450\pi\) |
0.304691 | − | 0.952451i | \(-0.401447\pi\) | |||||||
\(402\) | 1.22064 | − | 2.63837i | 0.0608801 | − | 0.131590i | ||||
\(403\) | 5.55392 | − | 25.2317i | 0.276661 | − | 1.25688i | ||||
\(404\) | 0.0148538 | + | 0.0321059i | 0.000739002 | + | 0.00159733i | ||||
\(405\) | 11.4106 | − | 3.84467i | 0.566996 | − | 0.191043i | ||||
\(406\) | −9.19501 | + | 17.3436i | −0.456341 | + | 0.860750i | ||||
\(407\) | 4.55918 | − | 0.247192i | 0.225990 | − | 0.0122528i | ||||
\(408\) | 11.4544 | − | 9.72946i | 0.567078 | − | 0.481680i | ||||
\(409\) | −2.55346 | + | 15.5754i | −0.126260 | + | 0.770154i | 0.845463 | + | 0.534033i | \(0.179324\pi\) |
−0.971724 | + | 0.236121i | \(0.924124\pi\) | |||||||
\(410\) | −1.42466 | − | 1.50400i | −0.0703591 | − | 0.0742772i | ||||
\(411\) | 11.4294 | + | 33.9212i | 0.563770 | + | 1.67321i | ||||
\(412\) | 11.3636 | + | 9.65232i | 0.559844 | + | 0.475536i | ||||
\(413\) | 0.553156 | + | 3.37410i | 0.0272190 | + | 0.166029i | ||||
\(414\) | −0.969342 | + | 1.27515i | −0.0476406 | + | 0.0626701i | ||||
\(415\) | −0.609594 | + | 2.19556i | −0.0299238 | + | 0.107776i | ||||
\(416\) | 10.2289 | − | 25.6726i | 0.501513 | − | 1.25870i | ||||
\(417\) | 6.47354 | − | 6.13206i | 0.317011 | − | 0.300288i | ||||
\(418\) | −0.386404 | + | 0.569903i | −0.0188996 | + | 0.0278749i | ||||
\(419\) | −10.1543 | − | 7.71911i | −0.496071 | − | 0.377103i | 0.327016 | − | 0.945019i | \(-0.393957\pi\) |
−0.823087 | + | 0.567916i | \(0.807750\pi\) | |||||||
\(420\) | 11.4270 | + | 9.70619i | 0.557581 | + | 0.473613i | ||||
\(421\) | −5.21947 | + | 4.43346i | −0.254381 | + | 0.216073i | −0.765499 | − | 0.643438i | \(-0.777508\pi\) |
0.511117 | + | 0.859511i | \(0.329232\pi\) | |||||||
\(422\) | 0.119180 | + | 0.0717082i | 0.00580159 | + | 0.00349070i | ||||
\(423\) | −7.11654 | − | 3.77295i | −0.346018 | − | 0.183447i | ||||
\(424\) | −1.52611 | + | 0.706055i | −0.0741146 | + | 0.0342891i | ||||
\(425\) | 10.3172 | − | 4.77327i | 0.500460 | − | 0.231537i | ||||
\(426\) | −0.682654 | − | 0.646644i | −0.0330747 | − | 0.0313300i | ||||
\(427\) | −14.2196 | + | 3.12996i | −0.688133 | + | 0.151469i | ||||
\(428\) | 1.96814 | + | 4.25407i | 0.0951338 | + | 0.205628i | ||||
\(429\) | 9.40540 | − | 8.90927i | 0.454097 | − | 0.430144i | ||||
\(430\) | −6.65052 | − | 2.24082i | −0.320717 | − | 0.108062i | ||||
\(431\) | −1.01847 | − | 9.36471i | −0.0490582 | − | 0.451082i | −0.992745 | − | 0.120241i | \(-0.961633\pi\) |
0.943687 | − | 0.330841i | \(-0.107332\pi\) | |||||||
\(432\) | −3.59948 | + | 2.73625i | −0.173180 | + | 0.131648i | ||||
\(433\) | 3.13360 | + | 14.2361i | 0.150591 | + | 0.684144i | 0.990050 | + | 0.140719i | \(0.0449415\pi\) |
−0.839458 | + | 0.543424i | \(0.817127\pi\) | |||||||
\(434\) | 18.4743 | + | 4.06650i | 0.886794 | + | 0.195198i | ||||
\(435\) | −6.95682 | − | 10.2605i | −0.333554 | − | 0.491955i | ||||
\(436\) | 1.47159 | − | 27.1420i | 0.0704766 | − | 1.29986i | ||||
\(437\) | −1.43729 | + | 1.09260i | −0.0687549 | + | 0.0522661i | ||||
\(438\) | 4.81669 | + | 3.26580i | 0.230150 | + | 0.156046i | ||||
\(439\) | 6.73013 | + | 1.86861i | 0.321211 | + | 0.0891839i | 0.424392 | − | 0.905479i | \(-0.360488\pi\) |
−0.103180 | + | 0.994663i | \(0.532902\pi\) | |||||||
\(440\) | −1.07027 | + | 3.85476i | −0.0510231 | + | 0.183768i | ||||
\(441\) | 11.5435 | − | 3.88946i | 0.549691 | − | 0.185212i | ||||
\(442\) | 10.2574 | − | 2.25782i | 0.487895 | − | 0.107394i | ||||
\(443\) | −9.41069 | − | 17.7504i | −0.447115 | − | 0.843349i | −0.999949 | − | 0.0100576i | \(-0.996799\pi\) |
0.552834 | − | 0.833291i | \(-0.313546\pi\) | |||||||
\(444\) | 7.91946 | + | 4.76498i | 0.375841 | + | 0.226136i | ||||
\(445\) | 18.4818 | − | 1.00205i | 0.876120 | − | 0.0475019i | ||||
\(446\) | −0.205904 | + | 0.270863i | −0.00974986 | + | 0.0128257i | ||||
\(447\) | −18.4957 | − | 5.13532i | −0.874819 | − | 0.242892i | ||||
\(448\) | 9.56688 | + | 3.81179i | 0.451993 | + | 0.180090i | ||||
\(449\) | −15.7838 | − | 3.47428i | −0.744885 | − | 0.163961i | −0.173718 | − | 0.984795i | \(-0.555578\pi\) |
−0.571167 | + | 0.820834i | \(0.693509\pi\) | |||||||
\(450\) | −2.05846 | + | 0.820167i | −0.0970369 | + | 0.0386630i | ||||
\(451\) | 2.14937 | + | 2.82744i | 0.101210 | + | 0.133139i | ||||
\(452\) | −17.4825 | + | 18.4561i | −0.822309 | + | 0.868101i | ||||
\(453\) | 12.3912 | + | 5.73280i | 0.582191 | + | 0.269350i | ||||
\(454\) | −9.94966 | + | 10.5037i | −0.466961 | + | 0.492964i | ||||
\(455\) | 9.18768 | + | 23.0593i | 0.430725 | + | 1.08104i | ||||
\(456\) | −3.06741 | + | 1.22217i | −0.143645 | + | 0.0572333i | ||||
\(457\) | 2.35815 | + | 3.47801i | 0.110310 | + | 0.162695i | 0.878837 | − | 0.477123i | \(-0.158320\pi\) |
−0.768527 | + | 0.639817i | \(0.779010\pi\) | |||||||
\(458\) | 15.5346 | + | 1.68949i | 0.725886 | + | 0.0789449i | ||||
\(459\) | −12.3027 | − | 4.14527i | −0.574242 | − | 0.193485i | ||||
\(460\) | −2.48489 | + | 3.66494i | −0.115859 | + | 0.170879i | ||||
\(461\) | 7.97965 | − | 17.2477i | 0.371649 | − | 0.803307i | −0.628035 | − | 0.778185i | \(-0.716141\pi\) |
0.999684 | − | 0.0251217i | \(-0.00799731\pi\) | |||||||
\(462\) | 6.52323 | + | 6.88650i | 0.303488 | + | 0.320389i | ||||
\(463\) | −6.08552 | − | 18.0612i | −0.282818 | − | 0.839374i | −0.991061 | − | 0.133406i | \(-0.957409\pi\) |
0.708243 | − | 0.705968i | \(-0.249488\pi\) | |||||||
\(464\) | 4.77722 | + | 3.63155i | 0.221777 | + | 0.168591i | ||||
\(465\) | −7.73358 | + | 9.10468i | −0.358636 | + | 0.422219i | ||||
\(466\) | 1.86004 | + | 17.1027i | 0.0861645 | + | 0.792269i | ||||
\(467\) | −1.57789 | + | 29.1026i | −0.0730163 | + | 1.34671i | 0.700828 | + | 0.713330i | \(0.252814\pi\) |
−0.773844 | + | 0.633376i | \(0.781669\pi\) | |||||||
\(468\) | 5.47454 | − | 0.897505i | 0.253060 | − | 0.0414872i | ||||
\(469\) | −5.77895 | − | 7.60208i | −0.266847 | − | 0.351031i | ||||
\(470\) | 7.45769 | + | 3.45030i | 0.343998 | + | 0.159150i | ||||
\(471\) | −39.5931 | −1.82436 | ||||||||
\(472\) | −1.84679 | −0.0850055 | ||||||||
\(473\) | 10.9196 | + | 5.05193i | 0.502082 | + | 0.232288i | ||||
\(474\) | −8.10571 | − | 20.3438i | −0.372307 | − | 0.934421i | ||||
\(475\) | −2.48296 | + | 0.270038i | −0.113926 | + | 0.0123902i | ||||
\(476\) | −4.47970 | − | 20.3515i | −0.205326 | − | 0.932808i | ||||
\(477\) | −0.440847 | − | 0.298902i | −0.0201850 | − | 0.0136858i | ||||
\(478\) | 19.4194 | − | 10.2955i | 0.888223 | − | 0.470906i | ||||
\(479\) | 0.267771 | + | 1.63333i | 0.0122348 | + | 0.0746287i | 0.992238 | − | 0.124352i | \(-0.0396852\pi\) |
−0.980003 | + | 0.198981i | \(0.936237\pi\) | |||||||
\(480\) | −9.73887 | + | 8.27227i | −0.444517 | + | 0.377576i | ||||
\(481\) | 7.88893 | + | 13.1115i | 0.359704 | + | 0.597833i | ||||
\(482\) | −11.8332 | − | 1.93996i | −0.538988 | − | 0.0883627i | ||||
\(483\) | 10.4435 | + | 22.5732i | 0.475195 | + | 1.02712i | ||||
\(484\) | −4.87643 | + | 12.2389i | −0.221656 | + | 0.556315i | ||||
\(485\) | − | 15.0835i | − | 0.684908i | ||||||
\(486\) | 5.56358 | + | 2.21673i | 0.252369 | + | 0.100553i | ||||
\(487\) | 3.86483 | + | 17.5581i | 0.175132 | + | 0.795634i | 0.979491 | + | 0.201489i | \(0.0645782\pi\) |
−0.804358 | + | 0.594144i | \(0.797491\pi\) | |||||||
\(488\) | −0.425765 | − | 7.85278i | −0.0192735 | − | 0.355479i | ||||
\(489\) | 24.3499 | − | 3.99197i | 1.10114 | − | 0.180523i | ||||
\(490\) | −11.5441 | + | 4.59957i | −0.521507 | + | 0.207788i | ||||
\(491\) | 35.8441 | − | 3.89828i | 1.61762 | − | 0.175927i | 0.745945 | − | 0.666007i | \(-0.231998\pi\) |
0.871677 | + | 0.490080i | \(0.163032\pi\) | |||||||
\(492\) | 0.389226 | + | 7.17886i | 0.0175477 | + | 0.323648i | ||||
\(493\) | −0.932818 | + | 17.2048i | −0.0420120 | + | 0.774866i | ||||
\(494\) | −2.29403 | − | 0.249491i | −0.103213 | − | 0.0112251i | ||||
\(495\) | −1.22100 | + | 0.339008i | −0.0548797 | + | 0.0152373i | ||||
\(496\) | 2.14038 | − | 5.37194i | 0.0961057 | − | 0.241207i | ||||
\(497\) | −2.92706 | + | 0.986241i | −0.131296 | + | 0.0442389i | ||||
\(498\) | −2.41535 | + | 1.63765i | −0.108234 | + | 0.0733847i | ||||
\(499\) | 2.59096 | − | 7.68968i | 0.115987 | − | 0.344237i | −0.873898 | − | 0.486110i | \(-0.838416\pi\) |
0.989885 | + | 0.141872i | \(0.0453122\pi\) | |||||||
\(500\) | −12.9731 | + | 6.00201i | −0.580176 | + | 0.268418i | ||||
\(501\) | −1.47243 | + | 4.37002i | −0.0657834 | + | 0.195238i | ||||
\(502\) | 4.11423 | − | 2.47545i | 0.183627 | − | 0.110485i | ||||
\(503\) | 7.60861 | − | 0.412527i | 0.339251 | − | 0.0183937i | 0.116274 | − | 0.993217i | \(-0.462905\pi\) |
0.222978 | + | 0.974824i | \(0.428422\pi\) | |||||||
\(504\) | 1.55678 | + | 9.49596i | 0.0693446 | + | 0.422984i | ||||
\(505\) | 0.0139614 | − | 0.0232040i | 0.000621274 | − | 0.00103257i | ||||
\(506\) | −1.81360 | + | 2.13514i | −0.0806245 | + | 0.0949184i | ||||
\(507\) | 17.1140 | + | 5.76636i | 0.760057 | + | 0.256093i | ||||
\(508\) | 6.29832 | − | 1.74872i | 0.279443 | − | 0.0775869i | ||||
\(509\) | 20.1003i | 0.890929i | 0.895300 | + | 0.445465i | \(0.146962\pi\) | ||||
−0.895300 | + | 0.445465i | \(0.853038\pi\) | |||||||
\(510\) | −4.67931 | − | 1.29920i | −0.207203 | − | 0.0575297i | ||||
\(511\) | 16.8892 | − | 8.95408i | 0.747134 | − | 0.396105i | ||||
\(512\) | 5.95575 | − | 9.89853i | 0.263209 | − | 0.437458i | ||||
\(513\) | 2.27069 | + | 1.72613i | 0.100253 | + | 0.0762105i | ||||
\(514\) | −2.99889 | + | 6.48199i | −0.132275 | + | 0.285908i | ||||
\(515\) | 1.23402 | − | 11.3467i | 0.0543775 | − | 0.499993i | ||||
\(516\) | 12.5562 | + | 20.8686i | 0.552757 | + | 0.918690i | ||||
\(517\) | −12.0711 | − | 7.26294i | −0.530886 | − | 0.319424i | ||||
\(518\) | −9.60004 | + | 5.77615i | −0.421802 | + | 0.253790i | ||||
\(519\) | −16.5459 | + | 11.2184i | −0.726282 | + | 0.492432i | ||||
\(520\) | −13.0939 | + | 2.88218i | −0.574205 | + | 0.126392i | ||||
\(521\) | −5.68692 | − | 0.932323i | −0.249148 | − | 0.0408458i | 0.0359135 | − | 0.999355i | \(-0.488566\pi\) |
−0.285062 | + | 0.958509i | \(0.592014\pi\) | |||||||
\(522\) | 0.363117 | − | 3.33881i | 0.0158932 | − | 0.146136i | ||||
\(523\) | 27.0918 | + | 28.6004i | 1.18464 | + | 1.25061i | 0.961188 | + | 0.275896i | \(0.0889744\pi\) |
0.223453 | + | 0.974715i | \(0.428267\pi\) | |||||||
\(524\) | −15.3095 | − | 16.1621i | −0.668801 | − | 0.706044i | ||||
\(525\) | −3.72011 | + | 34.2058i | −0.162359 | + | 1.49286i | ||||
\(526\) | 18.1562 | + | 2.97655i | 0.791646 | + | 0.129784i | ||||
\(527\) | 16.2154 | − | 3.56928i | 0.706354 | − | 0.155480i | ||||
\(528\) | 2.40002 | − | 1.62726i | 0.104448 | − | 0.0708173i | ||||
\(529\) | 13.4136 | − | 8.07070i | 0.583201 | − | 0.350900i | ||||
\(530\) | 0.465580 | + | 0.280130i | 0.0202235 | + | 0.0121681i | ||||
\(531\) | −0.301584 | − | 0.501237i | −0.0130876 | − | 0.0217518i | ||||
\(532\) | −0.495009 | + | 4.55154i | −0.0214614 | + | 0.197334i | ||||
\(533\) | −4.99786 | + | 10.8027i | −0.216481 | + | 0.467917i | ||||
\(534\) | 18.8706 | + | 14.3451i | 0.816613 | + | 0.620773i | ||||
\(535\) | 1.84990 | − | 3.07457i | 0.0799784 | − | 0.132925i | ||||
\(536\) | 4.55703 | − | 2.41598i | 0.196834 | − | 0.104355i | ||||
\(537\) | 0.641830 | + | 0.178203i | 0.0276970 | + | 0.00769004i | ||||
\(538\) | 4.89938i | 0.211227i | ||||||||
\(539\) | 20.5279 | − | 5.69954i | 0.884199 | − | 0.245497i | ||||
\(540\) | 6.62920 | + | 2.23364i | 0.285276 | + | 0.0961205i | ||||
\(541\) | 17.7368 | − | 20.8813i | 0.762563 | − | 0.897759i | −0.234672 | − | 0.972075i | \(-0.575402\pi\) |
0.997235 | + | 0.0743161i | \(0.0236774\pi\) | |||||||
\(542\) | −8.66630 | + | 14.4035i | −0.372249 | + | 0.618683i | ||||
\(543\) | 6.44791 | + | 39.3305i | 0.276706 | + | 1.68783i | ||||
\(544\) | 17.7341 | − | 0.961514i | 0.760342 | − | 0.0412246i | ||||
\(545\) | −17.8295 | + | 10.7277i | −0.763734 | + | 0.459523i | ||||
\(546\) | −10.1504 | + | 30.1254i | −0.434399 | + | 1.28925i | ||||
\(547\) | 31.0146 | − | 14.3489i | 1.32609 | − | 0.613514i | 0.376326 | − | 0.926487i | \(-0.377187\pi\) |
0.949762 | + | 0.312973i | \(0.101325\pi\) | |||||||
\(548\) | −8.55988 | + | 25.4048i | −0.365660 | + | 1.08524i | ||||
\(549\) | 2.06179 | − | 1.39793i | 0.0879951 | − | 0.0596622i | ||||
\(550\) | −3.67257 | + | 1.23743i | −0.156599 | + | 0.0527643i | ||||
\(551\) | 1.40118 | − | 3.51669i | 0.0596921 | − | 0.149816i | ||||
\(552\) | −12.9445 | + | 3.59403i | −0.550955 | + | 0.152972i | ||||
\(553\) | −71.5136 | − | 7.77758i | −3.04107 | − | 0.330736i | ||||
\(554\) | −0.778723 | + | 14.3627i | −0.0330848 | + | 0.610213i | ||||
\(555\) | −0.383045 | − | 7.06485i | −0.0162593 | − | 0.299886i | ||||
\(556\) | 6.63895 | − | 0.722030i | 0.281554 | − | 0.0306209i | ||||
\(557\) | 35.7951 | − | 14.2621i | 1.51669 | − | 0.604303i | 0.544552 | − | 0.838727i | \(-0.316700\pi\) |
0.972134 | + | 0.234424i | \(0.0753206\pi\) | |||||||
\(558\) | −3.19374 | + | 0.523588i | −0.135202 | + | 0.0221652i | ||||
\(559\) | 2.18299 | + | 40.2629i | 0.0923306 | + | 1.70294i | ||||
\(560\) | 1.19433 | + | 5.42591i | 0.0504698 | + | 0.229287i | ||||
\(561\) | 7.73444 | + | 3.08168i | 0.326548 | + | 0.130109i | ||||
\(562\) | − | 23.6885i | − | 0.999239i | ||||||
\(563\) | −3.76621 | + | 9.45247i | −0.158727 | + | 0.398374i | −0.986734 | − | 0.162343i | \(-0.948095\pi\) |
0.828008 | + | 0.560717i | \(0.189474\pi\) | |||||||
\(564\) | −11.9739 | − | 25.8812i | −0.504192 | − | 1.08979i | ||||
\(565\) | 19.2043 | + | 3.14839i | 0.807933 | + | 0.132454i | ||||
\(566\) | −7.30185 | − | 12.1358i | −0.306920 | − | 0.510105i | ||||
\(567\) | 38.6067 | − | 32.7928i | 1.62133 | − | 1.37717i | ||||
\(568\) | −0.269906 | − | 1.64635i | −0.0113250 | − | 0.0690795i | ||||
\(569\) | 32.6080 | − | 17.2877i | 1.36700 | − | 0.724737i | 0.386691 | − | 0.922209i | \(-0.373618\pi\) |
0.980309 | + | 0.197472i | \(0.0632731\pi\) | |||||||
\(570\) | 0.883114 | + | 0.598766i | 0.0369896 | + | 0.0250795i | ||||
\(571\) | −8.56587 | − | 38.9152i | −0.358471 | − | 1.62855i | −0.718443 | − | 0.695586i | \(-0.755145\pi\) |
0.359973 | − | 0.932963i | \(-0.382786\pi\) | |||||||
\(572\) | 9.64573 | − | 1.04904i | 0.403308 | − | 0.0438624i | ||||
\(573\) | −12.7094 | − | 31.8982i | −0.530943 | − | 1.33257i | ||||
\(574\) | −7.90957 | − | 3.65936i | −0.330139 | − | 0.152739i | ||||
\(575\) | −10.1617 | −0.423773 | ||||||||
\(576\) | −1.76191 | −0.0734128 | ||||||||
\(577\) | 32.2119 | + | 14.9028i | 1.34100 | + | 0.620412i | 0.953482 | − | 0.301450i | \(-0.0974706\pi\) |
0.387518 | + | 0.921862i | \(0.373333\pi\) | |||||||
\(578\) | −3.46904 | − | 4.56345i | −0.144293 | − | 0.189814i | ||||
\(579\) | −9.96963 | + | 1.63444i | −0.414324 | + | 0.0679250i | ||||
\(580\) | 0.502640 | − | 9.27065i | 0.0208710 | − | 0.384943i | ||||
\(581\) | 1.03640 | + | 9.52959i | 0.0429973 | + | 0.395354i | ||||
\(582\) | 12.5057 | − | 14.7229i | 0.518378 | − | 0.610282i | ||||
\(583\) | −0.741595 | − | 0.563746i | −0.0307137 | − | 0.0233480i | ||||
\(584\) | 3.29684 | + | 9.78467i | 0.136424 | + | 0.404893i | ||||
\(585\) | −2.92051 | − | 3.08314i | −0.120748 | − | 0.127472i | ||||
\(586\) | 5.95504 | − | 12.8716i | 0.246000 | − | 0.531721i | ||||
\(587\) | 5.31863 | − | 7.84439i | 0.219523 | − | 0.323773i | −0.701941 | − | 0.712235i | \(-0.747683\pi\) |
0.921465 | + | 0.388462i | \(0.126994\pi\) | |||||||
\(588\) | 40.8679 | + | 13.7700i | 1.68536 | + | 0.567865i | ||||
\(589\) | −3.62652 | − | 0.394408i | −0.149428 | − | 0.0162513i | ||||
\(590\) | 0.334894 | + | 0.493932i | 0.0137874 | + | 0.0203349i | ||||
\(591\) | 48.0106 | − | 19.1292i | 1.97489 | − | 0.786868i | ||||
\(592\) | 1.26769 | + | 3.18166i | 0.0521017 | + | 0.130765i | ||||
\(593\) | −14.7792 | + | 15.6022i | −0.606908 | + | 0.640705i | −0.954948 | − | 0.296775i | \(-0.904089\pi\) |
0.348039 | + | 0.937480i | \(0.386848\pi\) | |||||||
\(594\) | 4.01674 | + | 1.85834i | 0.164809 | + | 0.0762487i | ||||
\(595\) | −10.9704 | + | 11.5813i | −0.449742 | + | 0.474786i | ||||
\(596\) | −8.70007 | − | 11.4448i | −0.356369 | − | 0.468795i | ||||
\(597\) | 14.8141 | − | 5.90250i | 0.606303 | − | 0.241573i | ||||
\(598\) | −9.16904 | − | 2.01826i | −0.374950 | − | 0.0825327i | ||||
\(599\) | −21.6901 | − | 8.64212i | −0.886233 | − | 0.353108i | −0.117800 | − | 0.993037i | \(-0.537584\pi\) |
−0.768433 | + | 0.639930i | \(0.778963\pi\) | |||||||
\(600\) | −17.9072 | − | 4.97191i | −0.731059 | − | 0.202977i | ||||
\(601\) | −25.3518 | + | 33.3497i | −1.03412 | + | 1.36036i | −0.103395 | + | 0.994640i | \(0.532971\pi\) |
−0.930725 | + | 0.365721i | \(0.880822\pi\) | |||||||
\(602\) | −29.4799 | + | 1.59835i | −1.20151 | + | 0.0651440i | ||||
\(603\) | 1.39989 | + | 0.842287i | 0.0570080 | + | 0.0343006i | ||||
\(604\) | 4.78963 | + | 9.03420i | 0.194887 | + | 0.367596i | ||||
\(605\) | 9.84957 | − | 2.16805i | 0.400442 | − | 0.0881439i | ||||
\(606\) | 0.0328659 | − | 0.0110738i | 0.00133509 | − | 0.000449843i | ||||
\(607\) | 7.80191 | − | 28.0999i | 0.316670 | − | 1.14054i | −0.618338 | − | 0.785913i | \(-0.712194\pi\) |
0.935007 | − | 0.354628i | \(-0.115393\pi\) | |||||||
\(608\) | −3.75978 | − | 1.04390i | −0.152479 | − | 0.0423356i | ||||
\(609\) | −43.1645 | − | 29.2663i | −1.74911 | − | 1.18593i | ||||
\(610\) | −2.02305 | + | 1.53788i | −0.0819109 | + | 0.0622671i | ||||
\(611\) | 2.55604 | − | 47.1434i | 0.103406 | − | 1.90722i | ||||
\(612\) | 2.00076 | + | 2.95090i | 0.0808759 | + | 0.119283i | ||||
\(613\) | −28.8148 | − | 6.34261i | −1.16382 | − | 0.256176i | −0.409266 | − | 0.912415i | \(-0.634215\pi\) |
−0.754553 | + | 0.656239i | \(0.772146\pi\) | |||||||
\(614\) | 2.75856 | + | 12.5323i | 0.111326 | + | 0.505761i | ||||
\(615\) | 4.38137 | − | 3.33063i | 0.176674 | − | 0.134304i | ||||
\(616\) | 1.81963 | + | 16.7312i | 0.0733148 | + | 0.674119i | ||||
\(617\) | −1.79971 | − | 0.606394i | −0.0724538 | − | 0.0244125i | 0.282841 | − | 0.959167i | \(-0.408723\pi\) |
−0.355295 | + | 0.934754i | \(0.615620\pi\) | |||||||
\(618\) | 10.6120 | − | 10.0522i | 0.426877 | − | 0.404359i | ||||
\(619\) | −9.83713 | − | 21.2626i | −0.395388 | − | 0.854616i | −0.998382 | − | 0.0568705i | \(-0.981888\pi\) |
0.602994 | − | 0.797746i | \(-0.293974\pi\) | |||||||
\(620\) | −8.73752 | + | 1.92327i | −0.350907 | + | 0.0772405i | ||||
\(621\) | 8.42504 | + | 7.98062i | 0.338085 | + | 0.320251i | ||||
\(622\) | −13.2013 | + | 6.10757i | −0.529324 | + | 0.244891i | ||||
\(623\) | 70.6677 | − | 32.6943i | 2.83124 | − | 1.30987i | ||||
\(624\) | 8.58579 | + | 4.55190i | 0.343707 | + | 0.182222i | ||||
\(625\) | −6.68712 | − | 4.02350i | −0.267485 | − | 0.160940i | ||||
\(626\) | 4.39603 | − | 3.73402i | 0.175701 | − | 0.149241i | ||||
\(627\) | −1.39416 | − | 1.18421i | −0.0556775 | − | 0.0472929i | ||||
\(628\) | −23.6063 | − | 17.9451i | −0.941996 | − | 0.716086i | ||||
\(629\) | −5.51864 | + | 8.13939i | −0.220043 | + | 0.324539i | ||||
\(630\) | 2.25743 | − | 2.13835i | 0.0899382 | − | 0.0851939i | ||||
\(631\) | −5.92879 | + | 14.8801i | −0.236022 | + | 0.592369i | −0.998506 | − | 0.0546368i | \(-0.982600\pi\) |
0.762485 | + | 0.647006i | \(0.223979\pi\) | |||||||
\(632\) | 10.3947 | − | 37.4384i | 0.413479 | − | 1.48922i | ||||
\(633\) | −0.223618 | + | 0.294165i | −0.00888803 | + | 0.0116920i | ||||
\(634\) | 1.15633 | + | 7.05333i | 0.0459239 | + | 0.280123i | ||||
\(635\) | −3.81374 | − | 3.23942i | −0.151344 | − | 0.128552i | ||||
\(636\) | −0.602097 | − | 1.78696i | −0.0238747 | − | 0.0708576i | ||||
\(637\) | 49.1008 | + | 51.8351i | 1.94544 | + | 2.05378i | ||||
\(638\) | 0.950292 | − | 5.79653i | 0.0376224 | − | 0.229487i | ||||
\(639\) | 0.402760 | − | 0.342108i | 0.0159330 | − | 0.0135336i | ||||
\(640\) | −11.2875 | + | 0.611988i | −0.446176 | + | 0.0241910i | ||||
\(641\) | 18.5861 | − | 35.0571i | 0.734106 | − | 1.38467i | −0.181823 | − | 0.983331i | \(-0.558200\pi\) |
0.915929 | − | 0.401340i | \(-0.131455\pi\) | |||||||
\(642\) | 4.35478 | − | 1.46730i | 0.171870 | − | 0.0579096i | ||||
\(643\) | 3.25766 | + | 7.04133i | 0.128470 | + | 0.277683i | 0.961127 | − | 0.276105i | \(-0.0890438\pi\) |
−0.832658 | + | 0.553788i | \(0.813182\pi\) | |||||||
\(644\) | −4.00438 | + | 18.1921i | −0.157795 | + | 0.716868i | ||||
\(645\) | 7.82840 | − | 16.9208i | 0.308243 | − | 0.666256i | ||||
\(646\) | −0.473516 | − | 1.40535i | −0.0186302 | − | 0.0552926i | ||||
\(647\) | 3.80883 | − | 23.2328i | 0.149741 | − | 0.913377i | −0.799922 | − | 0.600104i | \(-0.795126\pi\) |
0.949663 | − | 0.313274i | \(-0.101426\pi\) | |||||||
\(648\) | 14.1055 | + | 23.4436i | 0.554118 | + | 0.920951i | ||||
\(649\) | −0.479227 | − | 0.903918i | −0.0188113 | − | 0.0354819i | ||||
\(650\) | −9.42918 | − | 8.93179i | −0.369843 | − | 0.350334i | ||||
\(651\) | −16.0463 | + | 47.6237i | −0.628904 | + | 1.86652i | ||||
\(652\) | 16.3273 | + | 8.65619i | 0.639426 | + | 0.339002i | ||||
\(653\) | −12.2172 | − | 23.0441i | −0.478096 | − | 0.901784i | −0.998844 | − | 0.0480738i | \(-0.984692\pi\) |
0.520748 | − | 0.853710i | \(-0.325653\pi\) | |||||||
\(654\) | −26.2975 | − | 4.31126i | −1.02831 | − | 0.168583i | ||||
\(655\) | −3.66349 | + | 16.6434i | −0.143145 | + | 0.650312i | ||||
\(656\) | −1.49507 | + | 2.20507i | −0.0583728 | + | 0.0860934i | ||||
\(657\) | −2.11728 | + | 2.49265i | −0.0826028 | + | 0.0972475i | ||||
\(658\) | 34.5177 | + | 1.87149i | 1.34564 | + | 0.0729584i | ||||
\(659\) | −12.1457 | − | 8.23497i | −0.473128 | − | 0.320789i | 0.301213 | − | 0.953557i | \(-0.402608\pi\) |
−0.774342 | + | 0.632768i | \(0.781919\pi\) | |||||||
\(660\) | −4.16763 | − | 1.66054i | −0.162225 | − | 0.0646363i | ||||
\(661\) | −11.3371 | − | 40.8325i | −0.440962 | − | 1.58820i | −0.766222 | − | 0.642576i | \(-0.777866\pi\) |
0.325260 | − | 0.945625i | \(-0.394548\pi\) | |||||||
\(662\) | −1.82540 | − | 0.198524i | −0.0709461 | − | 0.00771586i | ||||
\(663\) | 3.01679 | + | 27.7390i | 0.117163 | + | 1.07729i | ||||
\(664\) | −5.17000 | − | 0.280309i | −0.200635 | − | 0.0108781i | ||||
\(665\) | 3.09654 | − | 1.64168i | 0.120079 | − | 0.0636617i | ||||
\(666\) | 1.16001 | − | 1.52597i | 0.0449496 | − | 0.0591301i | ||||
\(667\) | 7.21437 | − | 13.6078i | 0.279342 | − | 0.526894i | ||||
\(668\) | −2.85855 | + | 1.93815i | −0.110601 | + | 0.0749892i | ||||
\(669\) | −0.656223 | − | 0.621607i | −0.0253710 | − | 0.0240327i | ||||
\(670\) | −1.47253 | − | 0.780686i | −0.0568888 | − | 0.0301605i | ||||
\(671\) | 3.73309 | − | 2.24612i | 0.144114 | − | 0.0867106i | ||||
\(672\) | −25.1793 | + | 47.4931i | −0.971311 | + | 1.83209i | ||||
\(673\) | −3.21294 | + | 11.5720i | −0.123850 | + | 0.446067i | −0.999307 | − | 0.0372294i | \(-0.988147\pi\) |
0.875457 | + | 0.483296i | \(0.160561\pi\) | |||||||
\(674\) | 0.971513i | 0.0374213i | ||||||||
\(675\) | 4.29487 | + | 15.4687i | 0.165310 | + | 0.595391i | ||||
\(676\) | 7.59021 | + | 11.1947i | 0.291931 | + | 0.430566i | ||||
\(677\) | −45.4054 | + | 7.44383i | −1.74507 | + | 0.286090i | −0.948110 | − | 0.317942i | \(-0.897008\pi\) |
−0.796960 | + | 0.604032i | \(0.793560\pi\) | |||||||
\(678\) | 16.1348 | + | 18.9954i | 0.619653 | + | 0.729512i | ||||
\(679\) | −23.4868 | − | 58.9474i | −0.901340 | − | 2.26219i | ||||
\(680\) | −5.21439 | − | 6.85942i | −0.199963 | − | 0.263047i | ||||
\(681\) | −24.8831 | − | 29.2947i | −0.953524 | − | 1.12258i | ||||
\(682\) | −5.62714 | + | 0.611989i | −0.215474 | + | 0.0234343i | ||||
\(683\) | −37.1678 | − | 8.18125i | −1.42219 | − | 0.313047i | −0.563740 | − | 0.825952i | \(-0.690638\pi\) |
−0.858445 | + | 0.512905i | \(0.828569\pi\) | |||||||
\(684\) | −0.209555 | − | 0.754750i | −0.00801255 | − | 0.0288586i | ||||
\(685\) | 19.7740 | − | 5.49022i | 0.755525 | − | 0.209770i | ||||
\(686\) | −20.3979 | + | 19.3220i | −0.778797 | + | 0.737716i | ||||
\(687\) | −8.92412 | + | 40.5427i | −0.340477 | + | 1.54680i | ||||
\(688\) | −0.975774 | + | 8.97210i | −0.0372010 | + | 0.342058i | ||||
\(689\) | 0.505071 | − | 3.08080i | 0.0192417 | − | 0.117369i | ||||
\(690\) | 3.30858 | + | 2.81033i | 0.125955 | + | 0.106988i | ||||
\(691\) | −18.5719 | + | 30.8668i | −0.706509 | + | 1.17423i | 0.270847 | + | 0.962622i | \(0.412696\pi\) |
−0.977355 | + | 0.211604i | \(0.932131\pi\) | |||||||
\(692\) | −14.9496 | − | 0.810544i | −0.568298 | − | 0.0308122i | ||||
\(693\) | −4.24386 | + | 3.22610i | −0.161211 | + | 0.122549i | ||||
\(694\) | 0.879690 | + | 16.2249i | 0.0333926 | + | 0.615890i | ||||
\(695\) | −3.30955 | − | 3.89631i | −0.125539 | − | 0.147795i | ||||
\(696\) | 19.3713 | − | 20.4500i | 0.734267 | − | 0.775157i | ||||
\(697\) | −7.64945 | −0.289744 | ||||||||
\(698\) | −1.04010 | − | 13.6773i | −0.0393685 | − | 0.517693i | ||||
\(699\) | −45.7037 | −1.72867 | ||||||||
\(700\) | −17.7214 | + | 18.7082i | −0.669804 | + | 0.707104i | ||||
\(701\) | −33.6256 | − | 39.5871i | −1.27002 | − | 1.49518i | −0.783324 | − | 0.621613i | \(-0.786478\pi\) |
−0.486697 | − | 0.873571i | \(-0.661798\pi\) | |||||||
\(702\) | 0.803008 | + | 14.8106i | 0.0303076 | + | 0.558991i | ||||
\(703\) | 1.72001 | − | 1.30752i | 0.0648713 | − | 0.0493139i | ||||
\(704\) | −3.07700 | − | 0.166830i | −0.115969 | − | 0.00628765i | ||||
\(705\) | −11.2545 | + | 18.7052i | −0.423871 | + | 0.704479i | ||||
\(706\) | 0.758657 | + | 0.644409i | 0.0285524 | + | 0.0242527i | ||||
\(707\) | 0.0184307 | − | 0.112422i | 0.000693158 | − | 0.00422808i | ||||
\(708\) | 0.223914 | − | 2.05886i | 0.00841521 | − | 0.0773765i | ||||
\(709\) | 3.46861 | − | 15.7581i | 0.130266 | − | 0.591806i | −0.865581 | − | 0.500769i | \(-0.833051\pi\) |
0.995847 | − | 0.0910374i | \(-0.0290183\pi\) | |||||||
\(710\) | −0.391380 | + | 0.370735i | −0.0146882 | + | 0.0139134i | ||||
\(711\) | 11.8586 | − | 3.29253i | 0.444733 | − | 0.123479i | ||||
\(712\) | 11.2514 | + | 40.5240i | 0.421666 | + | 1.51870i | ||||
\(713\) | −14.4949 | − | 3.19056i | −0.542837 | − | 0.119487i | ||||
\(714\) | −20.3101 | + | 2.20885i | −0.760085 | + | 0.0826642i | ||||
\(715\) | −4.80845 | − | 5.66094i | −0.179826 | − | 0.211707i | ||||
\(716\) | 0.301906 | + | 0.397150i | 0.0112827 | + | 0.0148422i | ||||
\(717\) | 21.6132 | + | 54.2451i | 0.807161 | + | 2.02582i | ||||
\(718\) | 4.41864 | + | 5.20203i | 0.164902 | + | 0.194138i | ||||
\(719\) | 28.6564 | − | 4.69798i | 1.06870 | − | 0.175205i | 0.398341 | − | 0.917238i | \(-0.369586\pi\) |
0.670364 | + | 0.742032i | \(0.266138\pi\) | |||||||
\(720\) | −0.533424 | − | 0.786741i | −0.0198795 | − | 0.0293201i | ||||
\(721\) | −12.8454 | − | 46.2650i | −0.478388 | − | 1.72300i | ||||
\(722\) | − | 13.6248i | − | 0.507062i | ||||||
\(723\) | 8.52244 | − | 30.6951i | 0.316953 | − | 1.14156i | ||||
\(724\) | −13.9817 | + | 26.3722i | −0.519624 | + | 0.980115i | ||||
\(725\) | 18.2568 | − | 10.9847i | 0.678040 | − | 0.407963i | ||||
\(726\) | 11.4116 | + | 6.05003i | 0.423523 | + | 0.224538i | ||||
\(727\) | −26.3816 | − | 24.9900i | −0.978440 | − | 0.926828i | 0.0188924 | − | 0.999822i | \(-0.493986\pi\) |
−0.997332 | + | 0.0729940i | \(0.976745\pi\) | |||||||
\(728\) | −46.6838 | + | 31.6524i | −1.73022 | + | 1.17312i | ||||
\(729\) | 7.67727 | − | 14.4809i | 0.284343 | − | 0.536328i | ||||
\(730\) | 2.01911 | − | 2.65609i | 0.0747306 | − | 0.0983064i | ||||
\(731\) | −22.8947 | + | 12.1380i | −0.846792 | + | 0.448941i | ||||
\(732\) | 8.80612 | + | 0.477454i | 0.325484 | + | 0.0176472i | ||||
\(733\) | 1.46202 | + | 13.4430i | 0.0540009 | + | 0.496530i | 0.989640 | + | 0.143572i | \(0.0458587\pi\) |
−0.935639 | + | 0.352958i | \(0.885176\pi\) | |||||||
\(734\) | 6.48381 | + | 0.705156i | 0.239322 | + | 0.0260278i | ||||
\(735\) | −8.83193 | − | 31.8097i | −0.325771 | − | 1.17332i | ||||
\(736\) | −14.7481 | − | 5.87620i | −0.543624 | − | 0.216599i | ||||
\(737\) | 2.36502 | + | 1.60353i | 0.0871167 | + | 0.0590666i | ||||
\(738\) | 1.48885 | + | 0.0807230i | 0.0548053 | + | 0.00297146i | ||||
\(739\) | 9.90926 | − | 11.6661i | 0.364518 | − | 0.429144i | −0.549075 | − | 0.835773i | \(-0.685020\pi\) |
0.913593 | + | 0.406629i | \(0.133296\pi\) | |||||||
\(740\) | 2.97367 | − | 4.38583i | 0.109314 | − | 0.161226i | ||||
\(741\) | 1.31784 | − | 5.98703i | 0.0484122 | − | 0.219939i | ||||
\(742\) | 2.25571 | + | 0.369805i | 0.0828098 | + | 0.0135760i | ||||
\(743\) | −11.2756 | − | 21.2681i | −0.413662 | − | 0.780249i | 0.585884 | − | 0.810395i | \(-0.300748\pi\) |
−0.999546 | + | 0.0301461i | \(0.990403\pi\) | |||||||
\(744\) | −23.9821 | − | 12.7145i | −0.879226 | − | 0.466136i | ||||
\(745\) | −3.51396 | + | 10.4291i | −0.128741 | + | 0.382091i | ||||
\(746\) | 15.2340 | + | 14.4304i | 0.557756 | + | 0.528335i | ||||
\(747\) | −0.768192 | − | 1.44896i | −0.0281067 | − | 0.0530148i | ||||
\(748\) | 3.21472 | + | 5.34291i | 0.117542 | + | 0.195356i | ||||
\(749\) | 2.44209 | − | 14.8961i | 0.0892322 | − | 0.544292i | ||||
\(750\) | 4.47464 | + | 13.2802i | 0.163391 | + | 0.484926i | ||||
\(751\) | 1.81127 | − | 3.91500i | 0.0660942 | − | 0.142860i | −0.871713 | − | 0.490017i | \(-0.836991\pi\) |
0.937807 | + | 0.347156i | \(0.112853\pi\) | |||||||
\(752\) | 2.27165 | − | 10.3202i | 0.0828386 | − | 0.376340i | ||||
\(753\) | 5.35608 | + | 11.5770i | 0.195186 | + | 0.421889i | ||||
\(754\) | 18.6550 | − | 6.28561i | 0.679376 | − | 0.228908i | ||||
\(755\) | 3.66653 | − | 6.91580i | 0.133439 | − | 0.251692i | ||||
\(756\) | 29.3854 | − | 1.59323i | 1.06874 | − | 0.0579452i | ||||
\(757\) | −13.4263 | + | 11.4044i | −0.487988 | + | 0.414500i | −0.857310 | − | 0.514801i | \(-0.827866\pi\) |
0.369322 | + | 0.929301i | \(0.379590\pi\) | |||||||
\(758\) | −2.22698 | + | 13.5840i | −0.0808877 | + | 0.493393i | ||||
\(759\) | −5.11811 | − | 5.40312i | −0.185776 | − | 0.196121i | ||||
\(760\) | 0.604458 | + | 1.79397i | 0.0219260 | + | 0.0650740i | ||||
\(761\) | 38.7743 | + | 32.9352i | 1.40557 | + | 1.19390i | 0.953302 | + | 0.302019i | \(0.0976605\pi\) |
0.452267 | + | 0.891883i | \(0.350615\pi\) | |||||||
\(762\) | −1.03675 | − | 6.32391i | −0.0375576 | − | 0.229091i | ||||
\(763\) | −52.9748 | + | 69.6871i | −1.91782 | + | 2.52284i | ||||
\(764\) | 6.87981 | − | 24.7788i | 0.248903 | − | 0.896467i | ||||
\(765\) | 1.01019 | − | 2.53539i | 0.0365236 | − | 0.0916673i | ||||
\(766\) | −6.49124 | + | 6.14883i | −0.234538 | + | 0.222166i | ||||
\(767\) | 1.92417 | − | 2.83794i | 0.0694778 | − | 0.102472i | ||||
\(768\) | −18.3233 | − | 13.9290i | −0.661186 | − | 0.502620i | ||||
\(769\) | 5.73338 | + | 4.86997i | 0.206751 | + | 0.175616i | 0.744779 | − | 0.667311i | \(-0.232555\pi\) |
−0.538028 | + | 0.842927i | \(0.680831\pi\) | |||||||
\(770\) | 4.14486 | − | 3.52067i | 0.149370 | − | 0.126876i | ||||
\(771\) | −16.2580 | − | 9.78209i | −0.585516 | − | 0.352293i | ||||
\(772\) | −6.68491 | − | 3.54412i | −0.240595 | − | 0.127556i | ||||
\(773\) | −14.2747 | + | 6.60420i | −0.513427 | + | 0.237537i | −0.659455 | − | 0.751744i | \(-0.729213\pi\) |
0.146028 | + | 0.989280i | \(0.453351\pi\) | |||||||
\(774\) | 4.58420 | − | 2.12088i | 0.164776 | − | 0.0762333i | ||||
\(775\) | −14.9061 | − | 14.1198i | −0.535443 | − | 0.507199i | ||||
\(776\) | 33.4724 | − | 7.36782i | 1.20159 | − | 0.264489i | ||||
\(777\) | −12.4977 | − | 27.0134i | −0.448354 | − | 0.969101i | ||||
\(778\) | 16.9563 | − | 16.0618i | 0.607911 | − | 0.575844i | ||||
\(779\) | 1.59265 | + | 0.536628i | 0.0570628 | + | 0.0192267i | ||||
\(780\) | −1.62557 | − | 14.9469i | −0.0582048 | − | 0.535184i | ||||
\(781\) | 0.735775 | − | 0.559322i | 0.0263281 | − | 0.0200141i | ||||
\(782\) | −1.29705 | − | 5.89257i | −0.0463825 | − | 0.210718i | ||||
\(783\) | −23.7636 | − | 5.23077i | −0.849242 | − | 0.186932i | ||||
\(784\) | 8.96814 | + | 13.2270i | 0.320291 | + | 0.472393i | ||||
\(785\) | −1.22893 | + | 22.6663i | −0.0438624 | + | 0.808995i | ||||
\(786\) | −17.3749 | + | 13.2081i | −0.619742 | + | 0.471116i | ||||
\(787\) | −32.8914 | − | 22.3009i | −1.17245 | − | 0.794941i | −0.190059 | − | 0.981773i | \(-0.560868\pi\) |
−0.982392 | + | 0.186832i | \(0.940178\pi\) | |||||||
\(788\) | 37.2951 | + | 10.3549i | 1.32858 | + | 0.368879i | ||||
\(789\) | −13.0763 | + | 47.0966i | −0.465529 | + | 1.67668i | ||||
\(790\) | −11.8980 | + | 4.00891i | −0.423312 | + | 0.142631i | ||||
\(791\) | 79.9542 | − | 17.5992i | 2.84284 | − | 0.625757i | ||||
\(792\) | −1.34872 | − | 2.54396i | −0.0479247 | − | 0.0903956i | ||||
\(793\) | 12.5109 | + | 7.52754i | 0.444274 | + | 0.267311i | ||||
\(794\) | −19.3653 | + | 1.04995i | −0.687247 | + | 0.0372615i | ||||
\(795\) | −0.873572 | + | 1.14916i | −0.0309824 | + | 0.0407567i | ||||
\(796\) | 11.5078 | + | 3.19512i | 0.407882 | + | 0.113248i | ||||
\(797\) | 33.5339 | + | 13.3611i | 1.18783 | + | 0.473276i | 0.878529 | − | 0.477688i | \(-0.158525\pi\) |
0.309303 | + | 0.950964i | \(0.399904\pi\) | |||||||
\(798\) | 4.38361 | + | 0.964906i | 0.155178 | + | 0.0341573i | ||||
\(799\) | 28.1866 | − | 11.2306i | 0.997172 | − | 0.397310i | ||||
\(800\) | −13.2909 | − | 17.4839i | −0.469905 | − | 0.618149i | ||||
\(801\) | −9.16124 | + | 9.67140i | −0.323696 | + | 0.341722i | ||||
\(802\) | −21.4924 | − | 9.94345i | −0.758924 | − | 0.351115i | ||||
\(803\) | −3.93364 | + | 4.15269i | −0.138815 | + | 0.146545i | ||||
\(804\) | 2.14089 | + | 5.37323i | 0.0755034 | + | 0.189499i | ||||
\(805\) | 13.2469 | − | 5.27804i | 0.466892 | − | 0.186027i | ||||
\(806\) | −10.6456 | − | 15.7010i | −0.374974 | − | 0.553045i | ||||
\(807\) | −12.9396 | − | 1.40726i | −0.455495 | − | 0.0495380i | ||||
\(808\) | 0.0583125 | + | 0.0196478i | 0.00205143 | + | 0.000691206i | ||||
\(809\) | −22.1619 | + | 32.6863i | −0.779169 | + | 1.14919i | 0.206159 | + | 0.978519i | \(0.433904\pi\) |
−0.985328 | + | 0.170670i | \(0.945407\pi\) | |||||||
\(810\) | 3.71221 | − | 8.02381i | 0.130434 | − | 0.281928i | ||||
\(811\) | −8.53398 | − | 9.00921i | −0.299668 | − | 0.316356i | 0.558720 | − | 0.829356i | \(-0.311293\pi\) |
−0.858388 | + | 0.513000i | \(0.828534\pi\) | |||||||
\(812\) | −12.4711 | − | 37.0130i | −0.437651 | − | 1.29890i | ||||
\(813\) | −35.5513 | − | 27.0254i | −1.24684 | − | 0.947822i | ||||
\(814\) | 2.17034 | − | 2.55512i | 0.0760704 | − | 0.0895570i | ||||
\(815\) | −1.52953 | − | 14.0638i | −0.0535770 | − | 0.492632i | ||||
\(816\) | −0.338110 | + | 6.23607i | −0.0118362 | + | 0.218306i | ||||
\(817\) | 5.61831 | − | 0.921075i | 0.196560 | − | 0.0322243i | ||||
\(818\) | 7.01324 | + | 9.22576i | 0.245212 | + | 0.322571i | ||||
\(819\) | −16.2143 | − | 7.50155i | −0.566575 | − | 0.262125i | ||||
\(820\) | 4.12184 | 0.143941 | ||||||||
\(821\) | −37.6695 | −1.31467 | −0.657337 | − | 0.753597i | \(-0.728317\pi\) | ||||
−0.657337 | + | 0.753597i | \(0.728317\pi\) | |||||||
\(822\) | 23.8531 | + | 11.0356i | 0.831971 | + | 0.384911i | ||||
\(823\) | −8.05668 | − | 20.2207i | −0.280838 | − | 0.704850i | −0.999950 | − | 0.00995659i | \(-0.996831\pi\) |
0.719112 | − | 0.694894i | \(-0.244549\pi\) | |||||||
\(824\) | 25.7825 | − | 2.80402i | 0.898176 | − | 0.0976825i | ||||
\(825\) | −2.21325 | − | 10.0549i | −0.0770556 | − | 0.350067i | ||||
\(826\) | 2.07790 | + | 1.40885i | 0.0722993 | + | 0.0490201i | ||||
\(827\) | −35.8695 | + | 19.0168i | −1.24730 | + | 0.661279i | −0.955441 | − | 0.295182i | \(-0.904620\pi\) |
−0.291862 | + | 0.956460i | \(0.594275\pi\) | |||||||
\(828\) | −0.515589 | − | 3.14496i | −0.0179180 | − | 0.109295i | ||||
\(829\) | −9.36130 | + | 7.95156i | −0.325132 | + | 0.276169i | −0.795054 | − | 0.606538i | \(-0.792558\pi\) |
0.469923 | + | 0.882708i | \(0.344282\pi\) | |||||||
\(830\) | 0.862550 | + | 1.43357i | 0.0299395 | + | 0.0497599i | ||||
\(831\) | −37.7091 | − | 6.18210i | −1.30811 | − | 0.214455i | ||||
\(832\) | −4.33630 | − | 9.37275i | −0.150334 | − | 0.324942i | ||||
\(833\) | −16.9838 | + | 42.6261i | −0.588453 | + | 1.47691i | ||||
\(834\) | − | 6.54708i | − | 0.226707i | ||||||
\(835\) | 2.45605 | + | 0.978579i | 0.0849951 | + | 0.0338651i | ||||
\(836\) | −0.294503 | − | 1.33794i | −0.0101856 | − | 0.0462736i | ||||
\(837\) | 1.26943 | + | 23.4133i | 0.0438781 | + | 0.809284i | ||||
\(838\) | −9.24203 | + | 1.51515i | −0.319261 | + | 0.0523401i | ||||
\(839\) | 5.02013 | − | 2.00020i | 0.173314 | − | 0.0690547i | −0.281867 | − | 0.959453i | \(-0.590954\pi\) |
0.455181 | + | 0.890399i | \(0.349574\pi\) | |||||||
\(840\) | 25.9264 | − | 2.81967i | 0.894546 | − | 0.0972877i | ||||
\(841\) | 0.178335 | + | 3.28920i | 0.00614950 | + | 0.113421i | ||||
\(842\) | −0.272225 | + | 5.02090i | −0.00938150 | + | 0.173032i | ||||
\(843\) | 62.5628 | + | 6.80412i | 2.15478 | + | 0.234346i | ||||
\(844\) | −0.266653 | + | 0.0740358i | −0.00917857 | + | 0.00254842i | ||||
\(845\) | 3.83233 | − | 9.61842i | 0.131836 | − | 0.330884i | ||||
\(846\) | −5.60461 | + | 1.88841i | −0.192691 | + | 0.0649250i | ||||
\(847\) | 35.1168 | − | 23.8098i | 1.20663 | − | 0.818115i | ||||
\(848\) | 0.223115 | − | 0.662181i | 0.00766179 | − | 0.0227394i | ||||
\(849\) | 34.1487 | − | 15.7989i | 1.17198 | − | 0.542215i | ||||
\(850\) | 2.66515 | − | 7.90988i | 0.0914139 | − | 0.271307i | ||||
\(851\) | 7.53216 | − | 4.53195i | 0.258199 | − | 0.155353i | ||||
\(852\) | 1.86813 | − | 0.101287i | 0.0640010 | − | 0.00347003i | ||||
\(853\) | −1.69659 | − | 10.3487i | −0.0580900 | − | 0.354334i | −0.999838 | − | 0.0180134i | \(-0.994266\pi\) |
0.941748 | − | 0.336320i | \(-0.109182\pi\) | |||||||
\(854\) | −5.51155 | + | 9.16027i | −0.188601 | + | 0.313458i | ||||
\(855\) | −0.388191 | + | 0.457014i | −0.0132759 | + | 0.0156295i | ||||
\(856\) | 7.72649 | + | 2.60336i | 0.264086 | + | 0.0889809i | ||||
\(857\) | −20.4275 | + | 5.67168i | −0.697792 | + | 0.193741i | −0.598270 | − | 0.801294i | \(-0.704145\pi\) |
−0.0995216 | + | 0.995035i | \(0.531731\pi\) | |||||||
\(858\) | − | 9.51225i | − | 0.324743i | ||||||
\(859\) | 38.5918 | + | 10.7150i | 1.31673 | + | 0.365590i | 0.853707 | − | 0.520754i | \(-0.174349\pi\) |
0.463028 | + | 0.886344i | \(0.346763\pi\) | |||||||
\(860\) | 12.3366 | − | 6.54046i | 0.420675 | − | 0.223028i | ||||
\(861\) | 11.9365 | − | 19.8386i | 0.406794 | − | 0.676098i | ||||
\(862\) | −5.50619 | − | 4.18570i | −0.187542 | − | 0.142565i | ||||
\(863\) | 8.37119 | − | 18.0940i | 0.284959 | − | 0.615928i | −0.711249 | − | 0.702941i | \(-0.751870\pi\) |
0.996207 | + | 0.0870126i | \(0.0277321\pi\) | |||||||
\(864\) | −2.71173 | + | 24.9340i | −0.0922551 | + | 0.848271i | ||||
\(865\) | 5.90873 | + | 9.82038i | 0.200903 | + | 0.333903i | ||||
\(866\) | 9.17093 | + | 5.51797i | 0.311641 | + | 0.187508i | ||||
\(867\) | 13.0488 | − | 7.85119i | 0.443160 | − | 0.266640i | ||||
\(868\) | −31.1520 | + | 21.1216i | −1.05737 | + | 0.716913i | ||||
\(869\) | 21.0217 | − | 4.62722i | 0.713112 | − | 0.156968i | ||||
\(870\) | −8.98221 | − | 1.47256i | −0.304526 | − | 0.0499244i | ||||
\(871\) | −1.03536 | + | 9.51994i | −0.0350817 | + | 0.322571i | ||||
\(872\) | −32.5153 | − | 34.3260i | −1.10111 | − | 1.16242i | ||||
\(873\) | 7.46579 | + | 7.88154i | 0.252679 | + | 0.266750i | ||||
\(874\) | −0.143325 | + | 1.31785i | −0.00484805 | + | 0.0445771i | ||||
\(875\) | 45.4268 | + | 7.44735i | 1.53571 | + | 0.251766i | ||||
\(876\) | −11.3080 | + | 2.48907i | −0.382061 | + | 0.0840979i | ||||
\(877\) | −6.92659 | + | 4.69634i | −0.233894 | + | 0.158584i | −0.672504 | − | 0.740093i | \(-0.734781\pi\) |
0.438610 | + | 0.898678i | \(0.355471\pi\) | |||||||
\(878\) | 4.39437 | − | 2.64401i | 0.148303 | − | 0.0892309i | ||||
\(879\) | 32.2842 | + | 19.4248i | 1.08892 | + | 0.655182i | ||||
\(880\) | −0.857078 | − | 1.42448i | −0.0288921 | − | 0.0480191i | ||||
\(881\) | −1.17962 | + | 10.8465i | −0.0397425 | + | 0.365426i | 0.957332 | + | 0.288990i | \(0.0933196\pi\) |
−0.997074 | + | 0.0764359i | \(0.975646\pi\) | |||||||
\(882\) | 3.75545 | − | 8.11728i | 0.126453 | − | 0.273323i | ||||
\(883\) | 30.2909 | + | 23.0265i | 1.01937 | + | 0.774904i | 0.974568 | − | 0.224092i | \(-0.0719417\pi\) |
0.0448005 | + | 0.998996i | \(0.485735\pi\) | |||||||
\(884\) | −10.7736 | + | 17.9059i | −0.362357 | + | 0.602242i | ||||
\(885\) | −1.40070 | + | 0.742604i | −0.0470840 | + | 0.0249623i | ||||
\(886\) | −14.2138 | − | 3.94645i | −0.477522 | − | 0.132583i | ||||
\(887\) | 10.8556i | 0.364497i | 0.983253 | + | 0.182248i | \(0.0583375\pi\) | ||||
−0.983253 | + | 0.182248i | \(0.941662\pi\) | |||||||
\(888\) | 15.4907 | − | 4.30098i | 0.519835 | − | 0.144331i | ||||
\(889\) | −19.9485 | − | 6.72142i | −0.669050 | − | 0.225429i | ||||
\(890\) | 8.79801 | − | 10.3578i | 0.294910 | − | 0.347195i | ||||
\(891\) | −7.81427 | + | 12.9874i | −0.261788 | + | 0.435095i | ||||
\(892\) | −0.109520 | − | 0.668041i | −0.00366699 | − | 0.0223677i | ||||
\(893\) | −6.65645 | + | 0.360902i | −0.222750 | + | 0.0120771i | ||||
\(894\) | −12.0766 | + | 7.26627i | −0.403903 | + | 0.243020i | ||||
\(895\) | 0.121940 | − | 0.361904i | 0.00407599 | − | 0.0120971i | ||||
\(896\) | −43.1592 | + | 19.9676i | −1.44185 | + | 0.667070i | ||||
\(897\) | 7.96400 | − | 23.6363i | 0.265910 | − | 0.789193i | ||||
\(898\) | −9.82185 | + | 6.65938i | −0.327759 | + | 0.222226i | ||||
\(899\) | 29.4908 | − | 9.93660i | 0.983572 | − | 0.331404i | ||||
\(900\) | 1.63185 | − | 4.09563i | 0.0543949 | − | 0.136521i | ||||
\(901\) | 1.93320 | − | 0.536751i | 0.0644043 | − | 0.0178818i | ||||
\(902\) | 2.59249 | + | 0.281950i | 0.0863204 | + | 0.00938791i | ||||
\(903\) | 4.24624 | − | 78.3173i | 0.141306 | − | 2.60624i | ||||
\(904\) | 2.39401 | + | 44.1549i | 0.0796235 | + | 1.46857i | ||||
\(905\) | 22.7161 | − | 2.47052i | 0.755108 | − | 0.0821230i | ||||
\(906\) | 9.31272 | − | 3.71053i | 0.309394 | − | 0.123274i | ||||
\(907\) | −14.2485 | + | 2.33592i | −0.473113 | + | 0.0775629i | −0.393621 | − | 0.919273i | \(-0.628778\pi\) |
−0.0794915 | + | 0.996836i | \(0.525330\pi\) | |||||||
\(908\) | −1.55846 | − | 28.7441i | −0.0517194 | − | 0.953908i | ||||
\(909\) | 0.00418994 | + | 0.0190351i | 0.000138972 | + | 0.000631354i | ||||
\(910\) | 16.9312 | + | 6.74599i | 0.561262 | + | 0.223627i | ||||
\(911\) | − | 21.9443i | − | 0.727049i | −0.931585 | − | 0.363524i | \(-0.881573\pi\) | ||
0.931585 | − | 0.363524i | \(-0.118427\pi\) | |||||||
\(912\) | 0.507872 | − | 1.27466i | 0.0168173 | − | 0.0422083i | ||||
\(913\) | −1.20437 | − | 2.60321i | −0.0398590 | − | 0.0861538i | ||||
\(914\) | 3.04470 | + | 0.499153i | 0.100710 | + | 0.0165105i | ||||
\(915\) | −3.48056 | − | 5.78474i | −0.115064 | − | 0.191238i | ||||
\(916\) | −23.6962 | + | 20.1278i | −0.782945 | + | 0.665040i | ||||
\(917\) | 11.5986 | + | 70.7480i | 0.383018 | + | 2.33631i | ||||
\(918\) | −8.42178 | + | 4.46494i | −0.277960 | + | 0.147365i | ||||
\(919\) | 18.5511 | + | 12.5780i | 0.611945 | + | 0.414909i | 0.827407 | − | 0.561603i | \(-0.189815\pi\) |
−0.215462 | + | 0.976512i | \(0.569126\pi\) | |||||||
\(920\) | 1.65573 | + | 7.52204i | 0.0545877 | + | 0.247994i | ||||
\(921\) | −33.8908 | + | 3.68585i | −1.11674 | + | 0.121453i | ||||
\(922\) | −5.16479 | − | 12.9626i | −0.170093 | − | 0.426902i | ||||
\(923\) | 2.81115 | + | 1.30057i | 0.0925300 | + | 0.0428089i | ||||
\(924\) | −18.8730 | −0.620877 | ||||||||
\(925\) | 12.1605 | 0.399836 | ||||||||
\(926\) | −12.7005 | − | 5.87585i | −0.417363 | − | 0.193093i | ||||
\(927\) | 4.97137 | + | 6.53972i | 0.163281 | + | 0.214793i | ||||
\(928\) | 32.8490 | − | 5.38531i | 1.07832 | − | 0.176782i | ||||
\(929\) | −0.533034 | + | 9.83123i | −0.0174883 | + | 0.322552i | 0.976679 | + | 0.214704i | \(0.0688787\pi\) |
−0.994167 | + | 0.107848i | \(0.965604\pi\) | |||||||
\(930\) | 0.948329 | + | 8.71974i | 0.0310969 | + | 0.285932i | ||||
\(931\) | 6.52643 | − | 7.68351i | 0.213895 | − | 0.251817i | ||||
\(932\) | −27.2496 | − | 20.7146i | −0.892590 | − | 0.678529i | ||||
\(933\) | −12.3386 | − | 36.6198i | −0.403949 | − | 1.19888i | ||||
\(934\) | 14.7166 | + | 15.5361i | 0.481541 | + | 0.508357i | ||||
\(935\) | 2.00427 | − | 4.33216i | 0.0655467 | − | 0.141677i | ||||
\(936\) | 5.41532 | − | 7.98701i | 0.177005 | − | 0.261063i | ||||
\(937\) | 4.14187 | + | 1.39556i | 0.135309 | + | 0.0455909i | 0.386141 | − | 0.922440i | \(-0.373808\pi\) |
−0.250832 | + | 0.968031i | \(0.580704\pi\) | |||||||
\(938\) | −6.97036 | − | 0.758072i | −0.227590 | − | 0.0247519i | ||||
\(939\) | 8.59909 | + | 12.6827i | 0.280621 | + | 0.413885i | ||||
\(940\) | −15.1881 | + | 6.05150i | −0.495382 | + | 0.197378i | ||||
\(941\) | −6.44213 | − | 16.1685i | −0.210007 | − | 0.527079i | 0.785808 | − | 0.618471i | \(-0.212248\pi\) |
−0.995815 | + | 0.0913922i | \(0.970868\pi\) | |||||||
\(942\) | −19.9921 | + | 21.1054i | −0.651378 | + | 0.687651i | ||||
\(943\) | 6.20582 | + | 2.87112i | 0.202089 | + | 0.0934965i | ||||
\(944\) | 0.527764 | − | 0.557154i | 0.0171773 | − | 0.0181338i | ||||
\(945\) | −13.6333 | − | 17.9344i | −0.443493 | − | 0.583405i | ||||
\(946\) | 8.20668 | − | 3.26984i | 0.266822 | − | 0.106312i | ||||
\(947\) | 29.5403 | + | 6.50231i | 0.959931 | + | 0.211297i | 0.667184 | − | 0.744893i | \(-0.267500\pi\) |
0.292747 | + | 0.956190i | \(0.405431\pi\) | |||||||
\(948\) | 40.4771 | + | 16.1275i | 1.31463 | + | 0.523798i | ||||
\(949\) | −18.4710 | − | 5.12844i | −0.599593 | − | 0.166476i | ||||
\(950\) | −1.10980 | + | 1.45991i | −0.0360065 | + | 0.0473657i | ||||
\(951\) | −18.9604 | + | 1.02800i | −0.614834 | + | 0.0333353i | ||||
\(952\) | −31.0591 | − | 18.6876i | −1.00663 | − | 0.605669i | ||||
\(953\) | 14.2426 | + | 26.8643i | 0.461362 | + | 0.870220i | 0.999623 | + | 0.0274427i | \(0.00873638\pi\) |
−0.538262 | + | 0.842778i | \(0.680919\pi\) | |||||||
\(954\) | −0.381932 | + | 0.0840697i | −0.0123655 | + | 0.00272186i | ||||
\(955\) | −18.6556 | + | 6.28580i | −0.603681 | + | 0.203404i | ||||
\(956\) | −11.6996 | + | 42.1381i | −0.378392 | + | 1.36284i | ||||
\(957\) | 15.0360 | + | 4.17474i | 0.486046 | + | 0.134950i | ||||
\(958\) | 1.00586 | + | 0.681993i | 0.0324980 | + | 0.0220342i | ||||
\(959\) | 68.7290 | − | 52.2465i | 2.21938 | − | 1.68713i | ||||
\(960\) | −0.258518 | + | 4.76808i | −0.00834362 | + | 0.153889i | ||||
\(961\) | 0.567787 | + | 0.837424i | 0.0183157 | + | 0.0270137i | ||||
\(962\) | 10.9726 | + | 2.41525i | 0.353771 | + | 0.0778708i | ||||
\(963\) | 0.555173 | + | 2.52218i | 0.0178902 | + | 0.0812760i | ||||
\(964\) | 18.9934 | − | 14.4384i | 0.611737 | − | 0.465030i | ||||
\(965\) | 0.626237 | + | 5.75815i | 0.0201593 | + | 0.185361i | ||||
\(966\) | 17.3061 | + | 5.83112i | 0.556816 | + | 0.187613i | ||||
\(967\) | −11.5208 | + | 10.9131i | −0.370484 | + | 0.350941i | −0.850179 | − | 0.526494i | \(-0.823506\pi\) |
0.479694 | + | 0.877436i | \(0.340748\pi\) | |||||||
\(968\) | 9.62240 | + | 20.7985i | 0.309276 | + | 0.668488i | ||||
\(969\) | 3.84762 | − | 0.846925i | 0.123603 | − | 0.0272071i | ||||
\(970\) | −8.04038 | − | 7.61625i | −0.258161 | − | 0.244543i | ||||
\(971\) | 31.6308 | − | 14.6340i | 1.01508 | − | 0.469626i | 0.159446 | − | 0.987207i | \(-0.449029\pi\) |
0.855635 | + | 0.517580i | \(0.173167\pi\) | |||||||
\(972\) | −10.8146 | + | 5.00335i | −0.346877 | + | 0.160483i | ||||
\(973\) | −19.0009 | − | 10.0737i | −0.609142 | − | 0.322947i | ||||
\(974\) | 11.3110 | + | 6.80559i | 0.362427 | + | 0.218065i | ||||
\(975\) | 26.2978 | − | 22.3376i | 0.842204 | − | 0.715374i | ||||
\(976\) | 2.49076 | + | 2.11567i | 0.0797272 | + | 0.0677209i | ||||
\(977\) | 16.3008 | + | 12.3916i | 0.521510 | + | 0.396442i | 0.832545 | − | 0.553957i | \(-0.186883\pi\) |
−0.311036 | + | 0.950398i | \(0.600676\pi\) | |||||||
\(978\) | 10.1673 | − | 14.9956i | 0.325113 | − | 0.479506i | ||||
\(979\) | −16.9150 | + | 16.0227i | −0.540605 | + | 0.512088i | ||||
\(980\) | 9.15155 | − | 22.9687i | 0.292335 | − | 0.733707i | ||||
\(981\) | 4.00660 | − | 14.4305i | 0.127921 | − | 0.460729i | ||||
\(982\) | 16.0211 | − | 21.0754i | 0.511253 | − | 0.672542i | ||||
\(983\) | 5.11853 | + | 31.2217i | 0.163256 | + | 0.995816i | 0.933634 | + | 0.358229i | \(0.116619\pi\) |
−0.770378 | + | 0.637587i | \(0.779932\pi\) | |||||||
\(984\) | 9.53126 | + | 8.09593i | 0.303846 | + | 0.258089i | ||||
\(985\) | −9.46087 | − | 28.0789i | −0.301448 | − | 0.894667i | ||||
\(986\) | 8.70013 | + | 9.18462i | 0.277069 | + | 0.292498i | ||||
\(987\) | −14.8573 | + | 90.6258i | −0.472914 | + | 2.88465i | ||||
\(988\) | 3.49927 | − | 2.97231i | 0.111327 | − | 0.0945617i | ||||
\(989\) | 23.1298 | − | 1.25406i | 0.735485 | − | 0.0398768i | ||||
\(990\) | −0.435817 | + | 0.822039i | −0.0138512 | + | 0.0261261i | ||||
\(991\) | −42.5405 | + | 14.3336i | −1.35134 | + | 0.455321i | −0.899557 | − | 0.436804i | \(-0.856110\pi\) |
−0.451788 | + | 0.892125i | \(0.649214\pi\) | |||||||
\(992\) | −13.4688 | − | 29.1124i | −0.427636 | − | 0.924319i | ||||
\(993\) | 1.04863 | − | 4.76397i | 0.0332773 | − | 0.151180i | ||||
\(994\) | −0.952261 | + | 2.05828i | −0.0302039 | + | 0.0652846i | ||||
\(995\) | −2.91925 | − | 8.66402i | −0.0925463 | − | 0.274668i | ||||
\(996\) | 0.939333 | − | 5.72968i | 0.0297639 | − | 0.181552i | ||||
\(997\) | 28.5062 | + | 47.3776i | 0.902799 | + | 1.50046i | 0.865351 | + | 0.501166i | \(0.167095\pi\) |
0.0374480 | + | 0.999299i | \(0.488077\pi\) | |||||||
\(998\) | −2.79077 | − | 5.26394i | −0.0883401 | − | 0.166627i | ||||
\(999\) | −10.0823 | − | 9.55042i | −0.318988 | − | 0.302162i |
(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 | 349.2.h.a.17.19 | ✓ | 784 | |
349.308 | even | 58 | inner | 349.2.h.a.308.19 | yes | 784 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
349.2.h.a.17.19 | ✓ | 784 | 1.1 | even | 1 | trivial | |
349.2.h.a.308.19 | yes | 784 | 349.308 | even | 58 | inner |