Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [525,2,Mod(26,525)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(525, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("525.26");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 525 = 3 \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 525.t (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.19214610612\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{6})\) |
Twist minimal: | no (minimal twist has level 105) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 101.2 | ||
Character | \(\chi\) | \(=\) | 525.101 |
Dual form | 525.2.t.j.26.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/525\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(176\) | \(451\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.17197 | + | 1.25399i | −1.53582 | + | 0.886704i | −0.536739 | + | 0.843749i | \(0.680344\pi\) |
−0.999077 | + | 0.0429549i | \(0.986323\pi\) | |||||||
\(3\) | 0.831052 | + | 1.51966i | 0.479808 | + | 0.877374i | ||||
\(4\) | 2.14497 | − | 3.71520i | 1.07249 | − | 1.85760i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −3.71065 | − | 2.25852i | −1.51487 | − | 0.922036i | ||||
\(7\) | −2.06025 | + | 1.65993i | −0.778701 | + | 0.627395i | ||||
\(8\) | 5.74313i | 2.03050i | ||||||||
\(9\) | −1.61871 | + | 2.52582i | −0.539569 | + | 0.841942i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 1.48843 | + | 0.859346i | 0.448779 | + | 0.259103i | 0.707314 | − | 0.706899i | \(-0.249907\pi\) |
−0.258535 | + | 0.966002i | \(0.583240\pi\) | |||||||
\(12\) | 7.42841 | + | 0.172094i | 2.14440 | + | 0.0496794i | ||||
\(13\) | 0.360784i | 0.100063i | 0.998748 | + | 0.0500317i | \(0.0159322\pi\) | ||||
−0.998748 | + | 0.0500317i | \(0.984068\pi\) | |||||||
\(14\) | 2.39327 | − | 6.18885i | 0.639628 | − | 1.65404i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −2.91187 | − | 5.04351i | −0.727967 | − | 1.26088i | ||||
\(17\) | 1.27144 | − | 2.20219i | 0.308369 | − | 0.534110i | −0.669637 | − | 0.742689i | \(-0.733550\pi\) |
0.978006 | + | 0.208578i | \(0.0668836\pi\) | |||||||
\(18\) | 0.348428 | − | 7.51586i | 0.0821252 | − | 1.77150i | ||||
\(19\) | −4.93492 | + | 2.84918i | −1.13215 | + | 0.653646i | −0.944474 | − | 0.328586i | \(-0.893428\pi\) |
−0.187674 | + | 0.982231i | \(0.560095\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −4.23470 | − | 1.75138i | −0.924087 | − | 0.382182i | ||||
\(22\) | −4.31044 | −0.918989 | ||||||||
\(23\) | −2.17197 | + | 1.25399i | −0.452887 | + | 0.261475i | −0.709049 | − | 0.705159i | \(-0.750875\pi\) |
0.256162 | + | 0.966634i | \(0.417542\pi\) | |||||||
\(24\) | −8.72758 | + | 4.77284i | −1.78151 | + | 0.974251i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −0.452418 | − | 0.783611i | −0.0887265 | − | 0.153679i | ||||
\(27\) | −5.18361 | − | 0.360784i | −0.997587 | − | 0.0694328i | ||||
\(28\) | 1.74780 | + | 11.2147i | 0.330303 | + | 2.11939i | ||||
\(29\) | 3.76228i | 0.698638i | 0.937004 | + | 0.349319i | \(0.113587\pi\) | ||||
−0.937004 | + | 0.349319i | \(0.886413\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.41187 | − | 1.39249i | −0.433185 | − | 0.250099i | 0.267518 | − | 0.963553i | \(-0.413797\pi\) |
−0.700702 | + | 0.713454i | \(0.747130\pi\) | |||||||
\(32\) | 2.70160 | + | 1.55977i | 0.477580 | + | 0.275731i | ||||
\(33\) | −0.0689466 | + | 2.97606i | −0.0120021 | + | 0.518066i | ||||
\(34\) | 6.37747i | 1.09373i | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 5.91187 | + | 11.4316i | 0.985312 | + | 1.90527i | ||||
\(37\) | 1.65283 | + | 2.86279i | 0.271724 | + | 0.470639i | 0.969303 | − | 0.245868i | \(-0.0790730\pi\) |
−0.697580 | + | 0.716507i | \(0.745740\pi\) | |||||||
\(38\) | 7.14567 | − | 12.3767i | 1.15918 | − | 2.00776i | ||||
\(39\) | −0.548267 | + | 0.299830i | −0.0877929 | + | 0.0480112i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −2.63477 | −0.411481 | −0.205741 | − | 0.978607i | \(-0.565960\pi\) | ||||
−0.205741 | + | 0.978607i | \(0.565960\pi\) | |||||||
\(42\) | 11.3939 | − | 1.50631i | 1.75811 | − | 0.232429i | ||||
\(43\) | −10.0606 | −1.53423 | −0.767114 | − | 0.641510i | \(-0.778308\pi\) | ||||
−0.767114 | + | 0.641510i | \(0.778308\pi\) | |||||||
\(44\) | 6.38529 | − | 3.68655i | 0.962618 | − | 0.555768i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 3.14497 | − | 5.44725i | 0.463701 | − | 0.803154i | ||||
\(47\) | −2.91152 | − | 5.04290i | −0.424689 | − | 0.735583i | 0.571702 | − | 0.820461i | \(-0.306283\pi\) |
−0.996391 | + | 0.0848783i | \(0.972950\pi\) | |||||||
\(48\) | 5.24448 | − | 8.61645i | 0.756975 | − | 1.24368i | ||||
\(49\) | 1.48925 | − | 6.83975i | 0.212751 | − | 0.977107i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 4.40320 | + | 0.102009i | 0.616572 | + | 0.0142842i | ||||
\(52\) | 1.34038 | + | 0.773871i | 0.185878 | + | 0.107317i | ||||
\(53\) | −1.25950 | − | 0.727175i | −0.173006 | − | 0.0998852i | 0.410996 | − | 0.911637i | \(-0.365181\pi\) |
−0.584003 | + | 0.811752i | \(0.698514\pi\) | |||||||
\(54\) | 11.7111 | − | 5.71658i | 1.59368 | − | 0.777928i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −9.53320 | − | 11.8323i | −1.27393 | − | 1.58115i | ||||
\(57\) | −8.43094 | − | 5.13156i | −1.11671 | − | 0.679692i | ||||
\(58\) | −4.71786 | − | 8.17157i | −0.619485 | − | 1.07298i | ||||
\(59\) | 3.42928 | − | 5.93969i | 0.446454 | − | 0.773282i | −0.551698 | − | 0.834044i | \(-0.686020\pi\) |
0.998152 | + | 0.0607624i | \(0.0193532\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.38882 | − | 0.801836i | 0.177820 | − | 0.102665i | −0.408448 | − | 0.912782i | \(-0.633930\pi\) |
0.586268 | + | 0.810117i | \(0.300596\pi\) | |||||||
\(62\) | 6.98468 | 0.887055 | ||||||||
\(63\) | −0.857759 | − | 7.89077i | −0.108067 | − | 0.994144i | ||||
\(64\) | 3.82374 | 0.477967 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −3.58220 | − | 6.55038i | −0.440938 | − | 0.806296i | ||||
\(67\) | 1.24541 | − | 2.15712i | 0.152151 | − | 0.263534i | −0.779867 | − | 0.625946i | \(-0.784713\pi\) |
0.932018 | + | 0.362412i | \(0.118047\pi\) | |||||||
\(68\) | −5.45439 | − | 9.44729i | −0.661442 | − | 1.14565i | ||||
\(69\) | −3.71065 | − | 2.25852i | −0.446710 | − | 0.271894i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 13.1790i | 1.56406i | 0.623243 | + | 0.782028i | \(0.285815\pi\) | ||||
−0.623243 | + | 0.782028i | \(0.714185\pi\) | |||||||
\(72\) | −14.5061 | − | 9.29643i | −1.70956 | − | 1.09560i | ||||
\(73\) | 10.0838 | + | 5.82187i | 1.18022 | + | 0.681398i | 0.956065 | − | 0.293156i | \(-0.0947056\pi\) |
0.224151 | + | 0.974554i | \(0.428039\pi\) | |||||||
\(74\) | −7.17980 | − | 4.14526i | −0.834635 | − | 0.481877i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 24.4456i | 2.80410i | ||||||||
\(77\) | −4.49300 | + | 0.700227i | −0.512024 | + | 0.0797982i | ||||
\(78\) | 0.814836 | − | 1.33874i | 0.0922621 | − | 0.151583i | ||||
\(79\) | −6.93492 | − | 12.0116i | −0.780239 | − | 1.35141i | −0.931802 | − | 0.362966i | \(-0.881764\pi\) |
0.151563 | − | 0.988448i | \(-0.451569\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −3.75958 | − | 8.17713i | −0.417732 | − | 0.908571i | ||||
\(82\) | 5.72264 | − | 3.30396i | 0.631959 | − | 0.364862i | ||||
\(83\) | −3.50427 | −0.384644 | −0.192322 | − | 0.981332i | \(-0.561602\pi\) | ||||
−0.192322 | + | 0.981332i | \(0.561602\pi\) | |||||||
\(84\) | −15.5900 | + | 11.9761i | −1.70101 | + | 1.30670i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 21.8514 | − | 12.6159i | 2.35629 | − | 1.36041i | ||||
\(87\) | −5.71737 | + | 3.12665i | −0.612967 | + | 0.335212i | ||||
\(88\) | −4.93534 | + | 8.54825i | −0.526108 | + | 0.911247i | ||||
\(89\) | 6.10392 | + | 10.5723i | 0.647014 | + | 1.12066i | 0.983832 | + | 0.179092i | \(0.0573158\pi\) |
−0.336818 | + | 0.941570i | \(0.609351\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.598876 | − | 0.743304i | −0.0627793 | − | 0.0779194i | ||||
\(92\) | 10.7591i | 1.12171i | ||||||||
\(93\) | 0.111722 | − | 4.82244i | 0.0115850 | − | 0.500064i | ||||
\(94\) | 12.6475 | + | 7.30202i | 1.30449 | + | 0.753146i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −0.125143 | + | 5.40176i | −0.0127723 | + | 0.551314i | ||||
\(97\) | 8.18747i | 0.831311i | 0.909522 | + | 0.415656i | \(0.136448\pi\) | ||||
−0.909522 | + | 0.415656i | \(0.863552\pi\) | |||||||
\(98\) | 5.34234 | + | 16.7232i | 0.539658 | + | 1.68930i | ||||
\(99\) | −4.57989 | + | 2.36849i | −0.460296 | + | 0.238042i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −0.623467 | + | 1.07988i | −0.0620372 | + | 0.107452i | −0.895376 | − | 0.445311i | \(-0.853093\pi\) |
0.833339 | + | 0.552763i | \(0.186426\pi\) | |||||||
\(102\) | −9.69155 | + | 5.30001i | −0.959607 | + | 0.524779i | ||||
\(103\) | 3.59057 | − | 2.07302i | 0.353790 | − | 0.204261i | −0.312563 | − | 0.949897i | \(-0.601188\pi\) |
0.666353 | + | 0.745636i | \(0.267854\pi\) | |||||||
\(104\) | −2.07203 | −0.203179 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 3.64748 | 0.354274 | ||||||||
\(107\) | −0.959143 | + | 0.553762i | −0.0927239 | + | 0.0535342i | −0.545645 | − | 0.838016i | \(-0.683715\pi\) |
0.452921 | + | 0.891551i | \(0.350382\pi\) | |||||||
\(108\) | −12.4591 | + | 18.4843i | −1.19888 | + | 1.77865i | ||||
\(109\) | −4.55684 | + | 7.89268i | −0.436466 | + | 0.755982i | −0.997414 | − | 0.0718694i | \(-0.977104\pi\) |
0.560948 | + | 0.827851i | \(0.310437\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −2.97686 | + | 4.89086i | −0.282551 | + | 0.464220i | ||||
\(112\) | 14.3711 | + | 5.55738i | 1.35794 | + | 0.525123i | ||||
\(113\) | − | 3.79282i | − | 0.356799i | −0.983958 | − | 0.178399i | \(-0.942908\pi\) | ||
0.983958 | − | 0.178399i | \(-0.0570919\pi\) | |||||||
\(114\) | 24.7467 | + | 0.573307i | 2.31774 | + | 0.0536952i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 13.9776 | + | 8.06999i | 1.29779 | + | 0.749280i | ||||
\(117\) | −0.911276 | − | 0.584002i | −0.0842475 | − | 0.0539910i | ||||
\(118\) | 17.2011i | 1.58349i | ||||||||
\(119\) | 1.03601 | + | 6.64757i | 0.0949712 | + | 0.609381i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −4.02305 | − | 6.96812i | −0.365732 | − | 0.633466i | ||||
\(122\) | −2.01099 | + | 3.48313i | −0.182066 | + | 0.315348i | ||||
\(123\) | −2.18963 | − | 4.00394i | −0.197432 | − | 0.361023i | ||||
\(124\) | −10.3468 | + | 5.97372i | −0.929169 | + | 0.536456i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 11.7580 | + | 16.0629i | 1.04748 | + | 1.43100i | ||||
\(127\) | 5.98643 | 0.531210 | 0.265605 | − | 0.964082i | \(-0.414428\pi\) | ||||
0.265605 | + | 0.964082i | \(0.414428\pi\) | |||||||
\(128\) | −13.7083 | + | 7.91447i | −1.21165 | + | 0.699547i | ||||
\(129\) | −8.36089 | − | 15.2887i | −0.736135 | − | 1.34609i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 7.29012 | + | 12.6269i | 0.636941 | + | 1.10321i | 0.986100 | + | 0.166151i | \(0.0531339\pi\) |
−0.349159 | + | 0.937063i | \(0.613533\pi\) | |||||||
\(132\) | 10.9088 | + | 6.63973i | 0.949488 | + | 0.577914i | ||||
\(133\) | 5.43772 | − | 14.0616i | 0.471510 | − | 1.21930i | ||||
\(134\) | 6.24693i | 0.539653i | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 12.6475 | + | 7.30202i | 1.08451 | + | 0.626143i | ||||
\(137\) | 13.6081 | + | 7.85666i | 1.16262 | + | 0.671240i | 0.951931 | − | 0.306313i | \(-0.0990954\pi\) |
0.210691 | + | 0.977553i | \(0.432429\pi\) | |||||||
\(138\) | 10.8916 | + | 0.252326i | 0.927153 | + | 0.0214794i | ||||
\(139\) | 14.7324i | 1.24959i | 0.780790 | + | 0.624794i | \(0.214817\pi\) | ||||
−0.780790 | + | 0.624794i | \(0.785183\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 5.24385 | − | 8.61542i | 0.441612 | − | 0.725549i | ||||
\(142\) | −16.5263 | − | 28.6243i | −1.38685 | − | 2.40210i | ||||
\(143\) | −0.310038 | + | 0.537001i | −0.0259267 | + | 0.0449063i | ||||
\(144\) | 17.4525 | + | 0.809079i | 1.45437 | + | 0.0674232i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −29.2022 | −2.41679 | ||||||||
\(147\) | 11.6317 | − | 3.42103i | 0.959367 | − | 0.282162i | ||||
\(148\) | 14.1811 | 1.16568 | ||||||||
\(149\) | −11.0008 | + | 6.35130i | −0.901219 | + | 0.520319i | −0.877595 | − | 0.479402i | \(-0.840854\pi\) |
−0.0236233 | + | 0.999721i | \(0.507520\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −8.34679 | + | 14.4571i | −0.679252 | + | 1.17650i | 0.295955 | + | 0.955202i | \(0.404362\pi\) |
−0.975207 | + | 0.221297i | \(0.928971\pi\) | |||||||
\(152\) | −16.3632 | − | 28.3419i | −1.32723 | − | 2.29883i | ||||
\(153\) | 3.50427 | + | 6.77613i | 0.283304 | + | 0.547818i | ||||
\(154\) | 8.88058 | − | 7.15503i | 0.715618 | − | 0.576569i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −0.0620888 | + | 2.68005i | −0.00497108 | + | 0.214576i | ||||
\(157\) | 1.24979 | + | 0.721567i | 0.0997442 | + | 0.0575873i | 0.549042 | − | 0.835795i | \(-0.314993\pi\) |
−0.449298 | + | 0.893382i | \(0.648326\pi\) | |||||||
\(158\) | 30.1249 | + | 17.3926i | 2.39661 | + | 1.38368i | ||||
\(159\) | 0.0583424 | − | 2.51833i | 0.00462685 | − | 0.199717i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 2.39327 | − | 6.18885i | 0.188616 | − | 0.487750i | ||||
\(162\) | 18.4197 | + | 13.0460i | 1.44719 | + | 1.02499i | ||||
\(163\) | 8.43094 | + | 14.6028i | 0.660362 | + | 1.14378i | 0.980521 | + | 0.196417i | \(0.0629305\pi\) |
−0.320158 | + | 0.947364i | \(0.603736\pi\) | |||||||
\(164\) | −5.65150 | + | 9.78869i | −0.441308 | + | 0.764368i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 7.61118 | − | 4.39432i | 0.590742 | − | 0.341065i | ||||
\(167\) | −7.20879 | −0.557833 | −0.278916 | − | 0.960315i | \(-0.589975\pi\) | ||||
−0.278916 | + | 0.960315i | \(0.589975\pi\) | |||||||
\(168\) | 10.0584 | − | 24.3204i | 0.776022 | − | 1.87636i | ||||
\(169\) | 12.8698 | 0.989987 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0.791659 | − | 17.0767i | 0.0605397 | − | 1.30589i | ||||
\(172\) | −21.5797 | + | 37.3772i | −1.64544 | + | 2.84998i | ||||
\(173\) | 4.49300 | + | 7.78210i | 0.341596 | + | 0.591662i | 0.984729 | − | 0.174093i | \(-0.0556992\pi\) |
−0.643133 | + | 0.765754i | \(0.722366\pi\) | |||||||
\(174\) | 8.49719 | − | 13.9605i | 0.644170 | − | 1.05834i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | − | 10.0092i | − | 0.754473i | ||||||
\(177\) | 11.8762 | + | 0.275136i | 0.892669 | + | 0.0206805i | ||||
\(178\) | −26.5151 | − | 15.3085i | −1.98739 | − | 1.14742i | ||||
\(179\) | −9.49333 | − | 5.48098i | −0.709565 | − | 0.409667i | 0.101335 | − | 0.994852i | \(-0.467689\pi\) |
−0.810900 | + | 0.585185i | \(0.801022\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 5.39306i | − | 0.400863i | −0.979708 | − | 0.200431i | \(-0.935766\pi\) | ||
0.979708 | − | 0.200431i | \(-0.0642344\pi\) | |||||||
\(182\) | 2.23284 | + | 0.863452i | 0.165509 | + | 0.0640033i | ||||
\(183\) | 2.37270 | + | 1.44416i | 0.175395 | + | 0.106756i | ||||
\(184\) | −7.20181 | − | 12.4739i | −0.530925 | − | 0.919589i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 5.80463 | + | 10.6143i | 0.425616 | + | 0.778279i | ||||
\(187\) | 3.78489 | − | 2.18521i | 0.276779 | − | 0.159798i | ||||
\(188\) | −24.9805 | −1.82189 | ||||||||
\(189\) | 11.2784 | − | 7.86114i | 0.820384 | − | 0.571814i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −18.4619 | + | 10.6590i | −1.33586 | + | 0.771259i | −0.986191 | − | 0.165614i | \(-0.947039\pi\) |
−0.349669 | + | 0.936873i | \(0.613706\pi\) | |||||||
\(192\) | 3.17773 | + | 5.81077i | 0.229333 | + | 0.419356i | ||||
\(193\) | −6.96805 | + | 12.0690i | −0.501571 | + | 0.868747i | 0.498427 | + | 0.866932i | \(0.333911\pi\) |
−0.999998 | + | 0.00181508i | \(0.999422\pi\) | |||||||
\(194\) | −10.2670 | − | 17.7829i | −0.737127 | − | 1.27674i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −22.2166 | − | 20.2039i | −1.58690 | − | 1.44314i | ||||
\(197\) | − | 2.01202i | − | 0.143350i | −0.997428 | − | 0.0716752i | \(-0.977165\pi\) | ||
0.997428 | − | 0.0716752i | \(-0.0228345\pi\) | |||||||
\(198\) | 6.97733 | − | 10.8874i | 0.495857 | − | 0.773735i | ||||
\(199\) | −6.90207 | − | 3.98491i | −0.489275 | − | 0.282483i | 0.234999 | − | 0.971996i | \(-0.424491\pi\) |
−0.724274 | + | 0.689513i | \(0.757825\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 4.31308 | + | 0.0999214i | 0.304221 | + | 0.00704791i | ||||
\(202\) | − | 3.12728i | − | 0.220035i | ||||||
\(203\) | −6.24513 | − | 7.75124i | −0.438322 | − | 0.544030i | ||||
\(204\) | 9.82374 | − | 16.1400i | 0.687799 | − | 1.13003i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −5.19908 | + | 9.00507i | −0.362237 | + | 0.627413i | ||||
\(207\) | 0.348428 | − | 7.51586i | 0.0242174 | − | 0.522388i | ||||
\(208\) | 1.81961 | − | 1.05055i | 0.126168 | − | 0.0728428i | ||||
\(209\) | −9.79371 | −0.677445 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −4.95390 | −0.341041 | −0.170520 | − | 0.985354i | \(-0.554545\pi\) | ||||
−0.170520 | + | 0.985354i | \(0.554545\pi\) | |||||||
\(212\) | −5.40321 | + | 3.11954i | −0.371094 | + | 0.214251i | ||||
\(213\) | −20.0275 | + | 10.9524i | −1.37226 | + | 0.750447i | ||||
\(214\) | 1.38882 | − | 2.40551i | 0.0949379 | − | 0.164437i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 2.07203 | − | 29.7701i | 0.140984 | − | 2.02560i | ||||
\(217\) | 7.28050 | − | 1.13465i | 0.494232 | − | 0.0770254i | ||||
\(218\) | − | 22.8569i | − | 1.54806i | ||||||
\(219\) | −0.467097 | + | 20.1621i | −0.0315635 | + | 1.36243i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 0.794515 | + | 0.458713i | 0.0534449 | + | 0.0308564i | ||||
\(222\) | 0.332581 | − | 14.3558i | 0.0223213 | − | 0.963495i | ||||
\(223\) | − | 15.6534i | − | 1.04823i | −0.851648 | − | 0.524114i | \(-0.824397\pi\) | ||
0.851648 | − | 0.524114i | \(-0.175603\pi\) | |||||||
\(224\) | −8.15509 | + | 1.27096i | −0.544885 | + | 0.0849195i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 4.75615 | + | 8.23790i | 0.316374 | + | 0.547977i | ||||
\(227\) | 6.30600 | − | 10.9223i | 0.418544 | − | 0.724939i | −0.577250 | − | 0.816568i | \(-0.695874\pi\) |
0.995793 | + | 0.0916289i | \(0.0292074\pi\) | |||||||
\(228\) | −37.1489 | + | 20.3156i | −2.46025 | + | 1.34543i | ||||
\(229\) | 5.18951 | − | 2.99617i | 0.342933 | − | 0.197992i | −0.318636 | − | 0.947877i | \(-0.603225\pi\) |
0.661568 | + | 0.749885i | \(0.269891\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −4.79802 | − | 6.24588i | −0.315686 | − | 0.410949i | ||||
\(232\) | −21.6073 | −1.41859 | ||||||||
\(233\) | 18.8822 | − | 10.9016i | 1.23701 | − | 0.714190i | 0.268531 | − | 0.963271i | \(-0.413462\pi\) |
0.968483 | + | 0.249081i | \(0.0801285\pi\) | |||||||
\(234\) | 2.71160 | + | 0.125707i | 0.177263 | + | 0.00821772i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −14.7114 | − | 25.4809i | −0.957632 | − | 1.65867i | ||||
\(237\) | 12.4903 | − | 20.5210i | 0.811330 | − | 1.33298i | ||||
\(238\) | −10.5862 | − | 13.1392i | −0.686199 | − | 0.851686i | ||||
\(239\) | 24.9069i | 1.61109i | 0.592533 | + | 0.805546i | \(0.298128\pi\) | ||||
−0.592533 | + | 0.805546i | \(0.701872\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 14.7454 | + | 8.51326i | 0.949835 | + | 0.548388i | 0.893030 | − | 0.449998i | \(-0.148575\pi\) |
0.0568054 | + | 0.998385i | \(0.481909\pi\) | |||||||
\(242\) | 17.4759 | + | 10.0897i | 1.12339 | + | 0.648591i | ||||
\(243\) | 9.30202 | − | 12.5089i | 0.596725 | − | 0.802446i | ||||
\(244\) | − | 6.87967i | − | 0.440426i | ||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 9.77670 | + | 5.95067i | 0.623339 | + | 0.379401i | ||||
\(247\) | −1.02794 | − | 1.78044i | −0.0654060 | − | 0.113286i | ||||
\(248\) | 7.99727 | − | 13.8517i | 0.507827 | − | 0.879582i | ||||
\(249\) | −2.91223 | − | 5.32529i | −0.184555 | − | 0.337476i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 27.3925 | 1.72900 | 0.864501 | − | 0.502631i | \(-0.167635\pi\) | ||||
0.864501 | + | 0.502631i | \(0.167635\pi\) | |||||||
\(252\) | −31.1557 | − | 13.7387i | −1.96262 | − | 0.865459i | ||||
\(253\) | −4.31044 | −0.270995 | ||||||||
\(254\) | −13.0024 | + | 7.50691i | −0.815840 | + | 0.471026i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 16.0256 | − | 27.7571i | 1.00160 | − | 1.73482i | ||||
\(257\) | 15.1941 | + | 26.3170i | 0.947783 | + | 1.64161i | 0.750080 | + | 0.661347i | \(0.230015\pi\) |
0.197703 | + | 0.980262i | \(0.436652\pi\) | |||||||
\(258\) | 37.3314 | + | 22.7221i | 2.32415 | + | 1.41461i | ||||
\(259\) | −8.15728 | − | 3.15447i | −0.506868 | − | 0.196009i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −9.50287 | − | 6.09003i | −0.588213 | − | 0.376963i | ||||
\(262\) | −31.6679 | − | 18.2835i | −1.95645 | − | 1.12956i | ||||
\(263\) | 16.7460 | + | 9.66832i | 1.03260 | + | 0.596174i | 0.917729 | − | 0.397206i | \(-0.130020\pi\) |
0.114874 | + | 0.993380i | \(0.463354\pi\) | |||||||
\(264\) | −17.0919 | − | 0.395969i | −1.05193 | − | 0.0243702i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 5.82255 | + | 37.3603i | 0.357003 | + | 2.29071i | ||||
\(267\) | −10.9936 | + | 18.0620i | −0.672796 | + | 1.10538i | ||||
\(268\) | −5.34275 | − | 9.25392i | −0.326361 | − | 0.565273i | ||||
\(269\) | 11.0008 | − | 19.0539i | 0.670729 | − | 1.16174i | −0.306969 | − | 0.951720i | \(-0.599315\pi\) |
0.977698 | − | 0.210017i | \(-0.0673520\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −13.0404 | + | 7.52886i | −0.792146 | + | 0.457345i | −0.840717 | − | 0.541474i | \(-0.817866\pi\) |
0.0485718 | + | 0.998820i | \(0.484533\pi\) | |||||||
\(272\) | −14.8090 | −0.897929 | ||||||||
\(273\) | 0.631869 | − | 1.52781i | 0.0382425 | − | 0.0924672i | ||||
\(274\) | −39.4086 | −2.38076 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −16.3501 | + | 8.94135i | −0.984160 | + | 0.538206i | ||||
\(277\) | 0.837995 | − | 1.45145i | 0.0503502 | − | 0.0872092i | −0.839752 | − | 0.542970i | \(-0.817300\pi\) |
0.890102 | + | 0.455761i | \(0.150633\pi\) | |||||||
\(278\) | −18.4743 | − | 31.9984i | −1.10801 | − | 1.91914i | ||||
\(279\) | 7.42130 | − | 3.83792i | 0.444302 | − | 0.229770i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | − | 2.10086i | − | 0.125327i | −0.998035 | − | 0.0626633i | \(-0.980041\pi\) | ||
0.998035 | − | 0.0626633i | \(-0.0199594\pi\) | |||||||
\(282\) | −0.585852 | + | 25.2882i | −0.0348870 | + | 1.50589i | ||||
\(283\) | −4.33360 | − | 2.50200i | −0.257606 | − | 0.148729i | 0.365636 | − | 0.930758i | \(-0.380851\pi\) |
−0.623242 | + | 0.782029i | \(0.714185\pi\) | |||||||
\(284\) | 48.9625 | + | 28.2685i | 2.90539 | + | 1.67743i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | − | 1.55514i | − | 0.0919571i | ||||||
\(287\) | 5.42827 | − | 4.37353i | 0.320421 | − | 0.258161i | ||||
\(288\) | −8.31281 | + | 4.29897i | −0.489837 | + | 0.253319i | ||||
\(289\) | 5.26690 | + | 9.12253i | 0.309817 | + | 0.536620i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −12.4421 | + | 6.80421i | −0.729371 | + | 0.398870i | ||||
\(292\) | 43.2588 | − | 24.9755i | 2.53153 | − | 1.46158i | ||||
\(293\) | −17.2734 | −1.00912 | −0.504561 | − | 0.863376i | \(-0.668346\pi\) | ||||
−0.504561 | + | 0.863376i | \(0.668346\pi\) | |||||||
\(294\) | −20.9738 | + | 22.0164i | −1.22322 | + | 1.28402i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −16.4414 | + | 9.49242i | −0.955634 | + | 0.551736i | ||||
\(297\) | −7.40541 | − | 4.99152i | −0.429706 | − | 0.289637i | ||||
\(298\) | 15.9289 | − | 27.5897i | 0.922737 | − | 1.59823i | ||||
\(299\) | −0.452418 | − | 0.783611i | −0.0261640 | − | 0.0453174i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 20.7274 | − | 16.6999i | 1.19471 | − | 0.962568i | ||||
\(302\) | − | 41.8671i | − | 2.40918i | ||||||
\(303\) | −2.15917 | − | 0.0500217i | −0.124041 | − | 0.00287367i | ||||
\(304\) | 28.7397 | + | 16.5929i | 1.64833 | + | 0.951666i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −16.1084 | − | 10.3232i | −0.920854 | − | 0.590140i | ||||
\(307\) | 10.2324i | 0.583994i | 0.956419 | + | 0.291997i | \(0.0943197\pi\) | ||||
−0.956419 | + | 0.291997i | \(0.905680\pi\) | |||||||
\(308\) | −7.03587 | + | 18.1943i | −0.400906 | + | 1.03672i | ||||
\(309\) | 6.13423 | + | 3.73365i | 0.348964 | + | 0.212400i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 5.23895 | − | 9.07413i | 0.297074 | − | 0.514547i | −0.678391 | − | 0.734701i | \(-0.737323\pi\) |
0.975465 | + | 0.220154i | \(0.0706559\pi\) | |||||||
\(312\) | −1.72196 | − | 3.14877i | −0.0974868 | − | 0.178264i | ||||
\(313\) | 0.221855 | − | 0.128088i | 0.0125400 | − | 0.00723997i | −0.493717 | − | 0.869623i | \(-0.664362\pi\) |
0.506257 | + | 0.862383i | \(0.331029\pi\) | |||||||
\(314\) | −3.61935 | −0.204252 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −59.5008 | −3.34718 | ||||||||
\(317\) | −26.7935 | + | 15.4693i | −1.50487 | + | 0.868840i | −0.504890 | + | 0.863183i | \(0.668467\pi\) |
−0.999984 | + | 0.00565618i | \(0.998200\pi\) | |||||||
\(318\) | 3.03124 | + | 5.54291i | 0.169984 | + | 0.310831i | ||||
\(319\) | −3.23310 | + | 5.59990i | −0.181019 | + | 0.313534i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −1.63862 | − | 0.997363i | −0.0914591 | − | 0.0556674i | ||||
\(322\) | 2.56264 | + | 16.4431i | 0.142810 | + | 0.916340i | ||||
\(323\) | 14.4902i | 0.806256i | ||||||||
\(324\) | −38.4439 | − | 3.57212i | −2.13577 | − | 0.198451i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −36.6235 | − | 21.1446i | −2.02839 | − | 1.17109i | ||||
\(327\) | −15.7811 | − | 0.365602i | −0.872698 | − | 0.0202179i | ||||
\(328\) | − | 15.1318i | − | 0.835514i | ||||||
\(329\) | 14.3693 | + | 5.55671i | 0.792207 | + | 0.306351i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 4.18951 | + | 7.25645i | 0.230276 | + | 0.398850i | 0.957889 | − | 0.287137i | \(-0.0927036\pi\) |
−0.727613 | + | 0.685988i | \(0.759370\pi\) | |||||||
\(332\) | −7.51657 | + | 13.0191i | −0.412525 | + | 0.714515i | ||||
\(333\) | −9.90635 | − | 0.459248i | −0.542865 | − | 0.0251666i | ||||
\(334\) | 15.6573 | − | 9.03973i | 0.856728 | − | 0.494632i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 3.49779 | + | 26.4575i | 0.190820 | + | 1.44338i | ||||
\(337\) | 11.7454 | 0.639810 | 0.319905 | − | 0.947450i | \(-0.396349\pi\) | ||||
0.319905 | + | 0.947450i | \(0.396349\pi\) | |||||||
\(338\) | −27.9529 | + | 16.1386i | −1.52044 | + | 0.877825i | ||||
\(339\) | 5.76378 | − | 3.15203i | 0.313046 | − | 0.171195i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −2.39327 | − | 4.14526i | −0.129603 | − | 0.224478i | ||||
\(342\) | 19.6945 | + | 38.0829i | 1.06496 | + | 2.05929i | ||||
\(343\) | 8.28527 | + | 16.5636i | 0.447363 | + | 0.894353i | ||||
\(344\) | − | 57.7794i | − | 3.11526i | ||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −19.5173 | − | 11.2683i | −1.04926 | − | 0.605789i | ||||
\(347\) | 0.382835 | + | 0.221030i | 0.0205516 | + | 0.0118655i | 0.510241 | − | 0.860032i | \(-0.329556\pi\) |
−0.489689 | + | 0.871897i | \(0.662890\pi\) | |||||||
\(348\) | −0.647468 | + | 27.9478i | −0.0347079 | + | 1.49816i | ||||
\(349\) | − | 21.7405i | − | 1.16374i | −0.813282 | − | 0.581870i | \(-0.802321\pi\) | ||
0.813282 | − | 0.581870i | \(-0.197679\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0.130165 | − | 1.87016i | 0.00694768 | − | 0.0998219i | ||||
\(352\) | 2.68077 | + | 4.64322i | 0.142885 | + | 0.247485i | ||||
\(353\) | 11.3917 | − | 19.7311i | 0.606321 | − | 1.05018i | −0.385520 | − | 0.922700i | \(-0.625978\pi\) |
0.991841 | − | 0.127480i | \(-0.0406888\pi\) | |||||||
\(354\) | −26.1398 | + | 14.2950i | −1.38931 | + | 0.759771i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 52.3709 | 2.77565 | ||||||||
\(357\) | −9.24103 | + | 7.09885i | −0.489087 | + | 0.375711i | ||||
\(358\) | 27.4923 | 1.45301 | ||||||||
\(359\) | 21.6706 | − | 12.5115i | 1.14373 | − | 0.660333i | 0.196378 | − | 0.980528i | \(-0.437082\pi\) |
0.947351 | + | 0.320195i | \(0.103749\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 6.73561 | − | 11.6664i | 0.354506 | − | 0.614022i | ||||
\(362\) | 6.76283 | + | 11.7136i | 0.355447 | + | 0.615651i | ||||
\(363\) | 7.24579 | − | 11.9045i | 0.380305 | − | 0.624825i | ||||
\(364\) | −4.04610 | + | 0.630578i | −0.212073 | + | 0.0330513i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −6.96439 | − | 0.161344i | −0.364035 | − | 0.00843361i | ||||
\(367\) | 18.4872 | + | 10.6736i | 0.965023 | + | 0.557156i | 0.897715 | − | 0.440576i | \(-0.145226\pi\) |
0.0673073 | + | 0.997732i | \(0.478559\pi\) | |||||||
\(368\) | 12.6490 | + | 7.30290i | 0.659374 | + | 0.380690i | ||||
\(369\) | 4.26491 | − | 6.65496i | 0.222022 | − | 0.346443i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 3.80196 | − | 0.592529i | 0.197388 | − | 0.0307626i | ||||
\(372\) | −17.6767 | − | 10.7591i | −0.916495 | − | 0.557832i | ||||
\(373\) | 7.06740 | + | 12.2411i | 0.365936 | + | 0.633820i | 0.988926 | − | 0.148410i | \(-0.0474156\pi\) |
−0.622990 | + | 0.782230i | \(0.714082\pi\) | |||||||
\(374\) | −5.48045 | + | 9.49242i | −0.283387 | + | 0.490841i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 28.9620 | − | 16.7212i | 1.49360 | − | 0.862332i | ||||
\(377\) | −1.35737 | −0.0699081 | ||||||||
\(378\) | −14.6386 | + | 31.2172i | −0.752929 | + | 1.60564i | ||||
\(379\) | 9.53880 | 0.489975 | 0.244988 | − | 0.969526i | \(-0.421216\pi\) | ||||
0.244988 | + | 0.969526i | \(0.421216\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 4.97503 | + | 9.09731i | 0.254879 | + | 0.466069i | ||||
\(382\) | 26.7325 | − | 46.3021i | 1.36776 | − | 2.36902i | ||||
\(383\) | 7.88522 | + | 13.6576i | 0.402916 | + | 0.697870i | 0.994076 | − | 0.108683i | \(-0.0346635\pi\) |
−0.591161 | + | 0.806554i | \(0.701330\pi\) | |||||||
\(384\) | −23.4195 | − | 14.2545i | −1.19512 | − | 0.727422i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | − | 34.9514i | − | 1.77898i | ||||||
\(387\) | 16.2852 | − | 25.4113i | 0.827822 | − | 1.29173i | ||||
\(388\) | 30.4181 | + | 17.5619i | 1.54424 | + | 0.891570i | ||||
\(389\) | −29.5749 | − | 17.0751i | −1.49951 | − | 0.865740i | −0.499506 | − | 0.866310i | \(-0.666485\pi\) |
−1.00000 | 0.000570006i | \(0.999819\pi\) | ||||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 6.37747i | 0.322522i | ||||||||
\(392\) | 39.2815 | + | 8.55298i | 1.98402 | + | 0.431991i | ||||
\(393\) | −13.1300 | + | 21.5721i | −0.662322 | + | 1.08817i | ||||
\(394\) | 2.52305 | + | 4.37005i | 0.127109 | + | 0.220160i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −1.02433 | + | 22.0956i | −0.0514744 | + | 1.11034i | ||||
\(397\) | 3.70870 | − | 2.14122i | 0.186134 | − | 0.107465i | −0.404037 | − | 0.914743i | \(-0.632393\pi\) |
0.590172 | + | 0.807278i | \(0.299060\pi\) | |||||||
\(398\) | 19.9881 | 1.00191 | ||||||||
\(399\) | 25.8879 | − | 3.42248i | 1.29601 | − | 0.171338i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −10.8316 | + | 6.25361i | −0.540903 | + | 0.312290i | −0.745445 | − | 0.666568i | \(-0.767763\pi\) |
0.204542 | + | 0.978858i | \(0.434429\pi\) | |||||||
\(402\) | −9.49319 | + | 5.19152i | −0.473477 | + | 0.258930i | ||||
\(403\) | 0.502389 | − | 0.870163i | 0.0250258 | − | 0.0433459i | ||||
\(404\) | 2.67464 | + | 4.63261i | 0.133068 | + | 0.230481i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 23.2842 | + | 9.00415i | 1.15558 | + | 0.446868i | ||||
\(407\) | 5.68142i | 0.281617i | ||||||||
\(408\) | −0.585852 | + | 25.2882i | −0.0290040 | + | 1.25195i | ||||
\(409\) | −5.59219 | − | 3.22865i | −0.276516 | − | 0.159647i | 0.355329 | − | 0.934741i | \(-0.384369\pi\) |
−0.631845 | + | 0.775095i | \(0.717702\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −0.630352 | + | 27.2090i | −0.0310930 | + | 1.34212i | ||||
\(412\) | − | 17.7863i | − | 0.876267i | ||||||
\(413\) | 2.79430 | + | 17.9296i | 0.137499 | + | 0.882258i | ||||
\(414\) | 8.66802 | + | 16.7611i | 0.426010 | + | 0.823766i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −0.562740 | + | 0.974694i | −0.0275906 | + | 0.0477883i | ||||
\(417\) | −22.3882 | + | 12.2434i | −1.09636 | + | 0.599562i | ||||
\(418\) | 21.2717 | − | 12.2812i | 1.04043 | − | 0.600693i | ||||
\(419\) | 10.0144 | 0.489233 | 0.244617 | − | 0.969620i | \(-0.421338\pi\) | ||||
0.244617 | + | 0.969620i | \(0.421338\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 17.7858 | 0.866825 | 0.433413 | − | 0.901196i | \(-0.357309\pi\) | ||||
0.433413 | + | 0.901196i | \(0.357309\pi\) | |||||||
\(422\) | 10.7597 | − | 6.21214i | 0.523776 | − | 0.302402i | ||||
\(423\) | 17.4504 | + | 0.808982i | 0.848467 | + | 0.0393341i | ||||
\(424\) | 4.17626 | − | 7.23350i | 0.202817 | − | 0.351290i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 29.7649 | − | 48.9025i | 1.44212 | − | 2.36934i | ||||
\(427\) | −1.53032 | + | 3.95733i | −0.0740576 | + | 0.191509i | ||||
\(428\) | 4.75121i | 0.229659i | ||||||||
\(429\) | −1.07371 | − | 0.0248748i | −0.0518394 | − | 0.00120097i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −2.54530 | − | 1.46953i | −0.122603 | − | 0.0707847i | 0.437444 | − | 0.899245i | \(-0.355884\pi\) |
−0.560047 | + | 0.828461i | \(0.689217\pi\) | |||||||
\(432\) | 13.2744 | + | 27.1941i | 0.638664 | + | 1.30838i | ||||
\(433\) | − | 31.6675i | − | 1.52184i | −0.648843 | − | 0.760922i | \(-0.724747\pi\) | ||
0.648843 | − | 0.760922i | \(-0.275253\pi\) | |||||||
\(434\) | −14.3902 | + | 11.5941i | −0.690751 | + | 0.556534i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 19.5486 | + | 33.8592i | 0.936208 | + | 1.62156i | ||||
\(437\) | 7.14567 | − | 12.3767i | 0.341824 | − | 0.592056i | ||||
\(438\) | −24.2685 | − | 44.3773i | −1.15960 | − | 2.12043i | ||||
\(439\) | 18.6152 | − | 10.7475i | 0.888457 | − | 0.512951i | 0.0150195 | − | 0.999887i | \(-0.495219\pi\) |
0.873437 | + | 0.486936i | \(0.161886\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 14.8653 | + | 14.8331i | 0.707873 | + | 0.706340i | ||||
\(442\) | −2.30088 | −0.109442 | ||||||||
\(443\) | −22.7499 | + | 13.1347i | −1.08088 | + | 0.624048i | −0.931134 | − | 0.364676i | \(-0.881180\pi\) |
−0.149748 | + | 0.988724i | \(0.547846\pi\) | |||||||
\(444\) | 11.7852 | + | 21.5504i | 0.559303 | + | 1.02274i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 19.6291 | + | 33.9987i | 0.929467 | + | 1.60988i | ||||
\(447\) | −18.7940 | − | 11.4391i | −0.888926 | − | 0.541052i | ||||
\(448\) | −7.87786 | + | 6.34714i | −0.372194 | + | 0.299874i | ||||
\(449\) | − | 36.0069i | − | 1.69927i | −0.527369 | − | 0.849636i | \(-0.676821\pi\) | ||
0.527369 | − | 0.849636i | \(-0.323179\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −3.92167 | − | 2.26418i | −0.184664 | − | 0.106616i | ||||
\(452\) | −14.0911 | − | 8.13550i | −0.662789 | − | 0.382662i | ||||
\(453\) | −28.9064 | − | 0.669675i | −1.35814 | − | 0.0314641i | ||||
\(454\) | 31.6306i | 1.48450i | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 29.4712 | − | 48.4200i | 1.38012 | − | 2.26747i | ||||
\(457\) | 9.12327 | + | 15.8020i | 0.426768 | + | 0.739185i | 0.996584 | − | 0.0825881i | \(-0.0263186\pi\) |
−0.569815 | + | 0.821773i | \(0.692985\pi\) | |||||||
\(458\) | −7.51431 | + | 13.0152i | −0.351121 | + | 0.608159i | ||||
\(459\) | −7.38515 | + | 10.9566i | −0.344709 | + | 0.511410i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −22.8072 | −1.06224 | −0.531119 | − | 0.847298i | \(-0.678228\pi\) | ||||
−0.531119 | + | 0.847298i | \(0.678228\pi\) | |||||||
\(462\) | 18.2534 | + | 7.54922i | 0.849226 | + | 0.351221i | ||||
\(463\) | −23.3718 | −1.08618 | −0.543090 | − | 0.839674i | \(-0.682746\pi\) | ||||
−0.543090 | + | 0.839674i | \(0.682746\pi\) | |||||||
\(464\) | 18.9751 | − | 10.9553i | 0.880897 | − | 0.508586i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −27.3411 | + | 47.3561i | −1.26655 | + | 2.19373i | ||||
\(467\) | −5.44472 | − | 9.43053i | −0.251951 | − | 0.436393i | 0.712112 | − | 0.702066i | \(-0.247739\pi\) |
−0.964063 | + | 0.265674i | \(0.914406\pi\) | |||||||
\(468\) | −4.12435 | + | 2.13291i | −0.190648 | + | 0.0985936i | ||||
\(469\) | 1.01481 | + | 6.51150i | 0.0468595 | + | 0.300673i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −0.0578924 | + | 2.49891i | −0.00266754 | + | 0.115144i | ||||
\(472\) | 34.1124 | + | 19.6948i | 1.57015 | + | 0.906527i | ||||
\(473\) | −14.9745 | − | 8.64555i | −0.688530 | − | 0.397523i | ||||
\(474\) | −1.39544 | + | 60.2336i | −0.0640945 | + | 2.76662i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 26.9193 | + | 10.4098i | 1.23384 | + | 0.477135i | ||||
\(477\) | 3.87549 | − | 2.00421i | 0.177446 | − | 0.0917663i | ||||
\(478\) | −31.2329 | − | 54.0970i | −1.42856 | − | 2.47434i | ||||
\(479\) | 5.13835 | − | 8.89989i | 0.234777 | − | 0.406646i | −0.724431 | − | 0.689348i | \(-0.757897\pi\) |
0.959208 | + | 0.282701i | \(0.0912305\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −1.03285 | + | 0.596314i | −0.0470938 | + | 0.0271896i | ||||
\(482\) | −42.7021 | −1.94503 | ||||||||
\(483\) | 11.3939 | − | 1.50631i | 0.518438 | − | 0.0685397i | ||||
\(484\) | −34.5173 | −1.56897 | ||||||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −4.51771 | + | 38.8336i | −0.204928 | + | 1.76153i | ||||
\(487\) | −6.92377 | + | 11.9923i | −0.313746 | + | 0.543424i | −0.979170 | − | 0.203041i | \(-0.934917\pi\) |
0.665424 | + | 0.746466i | \(0.268251\pi\) | |||||||
\(488\) | 4.60505 | + | 7.97618i | 0.208461 | + | 0.361065i | ||||
\(489\) | −15.1847 | + | 24.9478i | −0.686676 | + | 1.12818i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | − | 13.5981i | − | 0.613672i | −0.951762 | − | 0.306836i | \(-0.900730\pi\) | ||
0.951762 | − | 0.306836i | \(-0.0992704\pi\) | |||||||
\(492\) | −19.5721 | − | 0.453428i | −0.882379 | − | 0.0204421i | ||||
\(493\) | 8.28527 | + | 4.78350i | 0.373150 | + | 0.215438i | ||||
\(494\) | 4.46529 | + | 2.57804i | 0.200903 | + | 0.115991i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 16.2190i | 0.728256i | ||||||||
\(497\) | −21.8762 | − | 27.1520i | −0.981281 | − | 1.21793i | ||||
\(498\) | 13.0031 | + | 7.91447i | 0.582684 | + | 0.354656i | ||||
\(499\) | 18.1054 | + | 31.3595i | 0.810511 | + | 1.40385i | 0.912507 | + | 0.409061i | \(0.134144\pi\) |
−0.101996 | + | 0.994785i | \(0.532523\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −5.99087 | − | 10.9549i | −0.267653 | − | 0.489428i | ||||
\(502\) | −59.4958 | + | 34.3499i | −2.65543 | + | 1.53311i | ||||
\(503\) | −0.513189 | −0.0228819 | −0.0114410 | − | 0.999935i | \(-0.503642\pi\) | ||||
−0.0114410 | + | 0.999935i | \(0.503642\pi\) | |||||||
\(504\) | 45.3177 | − | 4.92622i | 2.01861 | − | 0.219431i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 9.36215 | − | 5.40524i | 0.416198 | − | 0.240292i | ||||
\(507\) | 10.6955 | + | 19.5577i | 0.475004 | + | 0.868589i | ||||
\(508\) | 12.8407 | − | 22.2408i | 0.569715 | − | 0.986776i | ||||
\(509\) | 9.40202 | + | 16.2848i | 0.416737 | + | 0.721810i | 0.995609 | − | 0.0936084i | \(-0.0298402\pi\) |
−0.578872 | + | 0.815419i | \(0.696507\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −30.4390 | + | 4.74387i | −1.34654 | + | 0.209856i | ||||
\(512\) | 48.7256i | 2.15339i | ||||||||
\(513\) | 26.6086 | − | 12.9886i | 1.17480 | − | 0.573460i | ||||
\(514\) | −66.0024 | − | 38.1065i | −2.91124 | − | 1.68081i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −74.7343 | − | 1.73137i | −3.29000 | − | 0.0762195i | ||||
\(517\) | − | 10.0080i | − | 0.440152i | ||||||
\(518\) | 21.6730 | − | 3.37771i | 0.952258 | − | 0.148408i | ||||
\(519\) | −8.09219 | + | 13.2951i | −0.355208 | + | 0.583591i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 15.1847 | − | 26.3007i | 0.665254 | − | 1.15225i | −0.313963 | − | 0.949435i | \(-0.601657\pi\) |
0.979216 | − | 0.202818i | \(-0.0650100\pi\) | |||||||
\(522\) | 28.2768 | + | 1.31088i | 1.23764 | + | 0.0573758i | ||||
\(523\) | −33.7999 | + | 19.5144i | −1.47797 | + | 0.853305i | −0.999690 | − | 0.0249028i | \(-0.992072\pi\) |
−0.478278 | + | 0.878208i | \(0.658739\pi\) | |||||||
\(524\) | 62.5485 | 2.73244 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −48.4958 | −2.11452 | ||||||||
\(527\) | −6.13308 | + | 3.54093i | −0.267161 | + | 0.154246i | ||||
\(528\) | 15.2106 | − | 8.31818i | 0.661955 | − | 0.362002i | ||||
\(529\) | −8.35503 | + | 14.4713i | −0.363262 | + | 0.629188i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 9.45162 | + | 18.2764i | 0.410165 | + | 0.793127i | ||||
\(532\) | −40.5781 | − | 50.3641i | −1.75928 | − | 2.18356i | ||||
\(533\) | − | 0.950580i | − | 0.0411742i | ||||||
\(534\) | 1.22822 | − | 53.0159i | 0.0531504 | − | 2.29422i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 12.3886 | + | 7.15257i | 0.535106 | + | 0.308944i | ||||
\(537\) | 0.439747 | − | 18.9816i | 0.0189765 | − | 0.819115i | ||||
\(538\) | 55.1794i | 2.37895i | ||||||||
\(539\) | 8.09436 | − | 8.90071i | 0.348649 | − | 0.383381i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 5.25615 | + | 9.10392i | 0.225980 | + | 0.391408i | 0.956613 | − | 0.291362i | \(-0.0941084\pi\) |
−0.730633 | + | 0.682770i | \(0.760775\pi\) | |||||||
\(542\) | 18.8822 | − | 32.7049i | 0.811060 | − | 1.40480i | ||||
\(543\) | 8.19559 | − | 4.48191i | 0.351706 | − | 0.192337i | ||||
\(544\) | 6.86984 | − | 3.96630i | 0.294542 | − | 0.170054i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 0.543453 | + | 4.11071i | 0.0232577 | + | 0.175922i | ||||
\(547\) | −25.2465 | −1.07946 | −0.539731 | − | 0.841837i | \(-0.681474\pi\) | ||||
−0.539731 | + | 0.841837i | \(0.681474\pi\) | |||||||
\(548\) | 58.3782 | − | 33.7046i | 2.49379 | − | 1.43979i | ||||
\(549\) | −0.222795 | + | 4.80586i | −0.00950864 | + | 0.205109i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −10.7194 | − | 18.5666i | −0.456662 | − | 0.790962i | ||||
\(552\) | 12.9710 | − | 21.3107i | 0.552081 | − | 0.907045i | ||||
\(553\) | 34.2261 | + | 13.2355i | 1.45544 | + | 0.562829i | ||||
\(554\) | 4.20334i | 0.178583i | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 54.7339 | + | 31.6007i | 2.32124 | + | 1.34017i | ||||
\(557\) | −17.6227 | − | 10.1745i | −0.746697 | − | 0.431106i | 0.0778021 | − | 0.996969i | \(-0.475210\pi\) |
−0.824499 | + | 0.565863i | \(0.808543\pi\) | |||||||
\(558\) | −11.3061 | + | 17.6421i | −0.478627 | + | 0.746849i | ||||
\(559\) | − | 3.62970i | − | 0.153520i | ||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 6.46621 | + | 3.93571i | 0.273003 | + | 0.166166i | ||||
\(562\) | 2.63445 | + | 4.56300i | 0.111128 | + | 0.192479i | ||||
\(563\) | 17.8326 | − | 30.8870i | 0.751555 | − | 1.30173i | −0.195514 | − | 0.980701i | \(-0.562638\pi\) |
0.947069 | − | 0.321030i | \(-0.104029\pi\) | |||||||
\(564\) | −20.7601 | − | 37.9618i | −0.874158 | − | 1.59848i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 12.5499 | 0.527513 | ||||||||
\(567\) | 21.3192 | + | 10.6063i | 0.895321 | + | 0.445422i | ||||
\(568\) | −75.6885 | −3.17582 | ||||||||
\(569\) | −21.8018 | + | 12.5873i | −0.913977 | + | 0.527685i | −0.881709 | − | 0.471794i | \(-0.843607\pi\) |
−0.0322687 | + | 0.999479i | \(0.510273\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −2.49020 | + | 4.31316i | −0.104212 | + | 0.180500i | −0.913416 | − | 0.407028i | \(-0.866565\pi\) |
0.809204 | + | 0.587528i | \(0.199899\pi\) | |||||||
\(572\) | 1.33005 | + | 2.30371i | 0.0556120 | + | 0.0963228i | ||||
\(573\) | −31.5409 | − | 19.1976i | −1.31764 | − | 0.801992i | ||||
\(574\) | −6.30570 | + | 16.3062i | −0.263195 | + | 0.680607i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −6.18951 | + | 9.65809i | −0.257896 | + | 0.402421i | ||||
\(577\) | −18.9939 | − | 10.9662i | −0.790728 | − | 0.456527i | 0.0494908 | − | 0.998775i | \(-0.484240\pi\) |
−0.840219 | + | 0.542248i | \(0.817573\pi\) | |||||||
\(578\) | −22.8791 | − | 13.2093i | −0.951645 | − | 0.549432i | ||||
\(579\) | −24.1316 | − | 0.559057i | −1.00287 | − | 0.0232336i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 7.21968 | − | 5.81685i | 0.299523 | − | 0.241324i | ||||
\(582\) | 18.4915 | − | 30.3808i | 0.766499 | − | 1.25933i | ||||
\(583\) | −1.24979 | − | 2.16470i | −0.0517610 | − | 0.0896528i | ||||
\(584\) | −33.4357 | + | 57.9124i | −1.38358 | + | 2.39643i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 37.5173 | − | 21.6606i | 1.54983 | − | 0.894792i | ||||
\(587\) | 31.8719 | 1.31549 | 0.657746 | − | 0.753240i | \(-0.271510\pi\) | ||||
0.657746 | + | 0.753240i | \(0.271510\pi\) | |||||||
\(588\) | 12.2399 | − | 50.5521i | 0.504764 | − | 2.08474i | ||||
\(589\) | 15.8698 | 0.653905 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 3.05758 | − | 1.67209i | 0.125772 | − | 0.0687807i | ||||
\(592\) | 9.62566 | − | 16.6721i | 0.395612 | − | 0.685220i | ||||
\(593\) | −16.4536 | − | 28.4985i | −0.675669 | − | 1.17029i | −0.976273 | − | 0.216545i | \(-0.930521\pi\) |
0.300603 | − | 0.953749i | \(-0.402812\pi\) | |||||||
\(594\) | 22.3436 | + | 1.55514i | 0.916771 | + | 0.0638080i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 54.4935i | 2.23214i | ||||||||
\(597\) | 0.319716 | − | 13.8004i | 0.0130851 | − | 0.564814i | ||||
\(598\) | 1.96528 | + | 1.13465i | 0.0803662 | + | 0.0463995i | ||||
\(599\) | −18.8935 | − | 10.9082i | −0.771968 | − | 0.445696i | 0.0616082 | − | 0.998100i | \(-0.480377\pi\) |
−0.833576 | + | 0.552404i | \(0.813710\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | − | 23.9262i | − | 0.975969i | −0.872852 | − | 0.487985i | \(-0.837732\pi\) | ||
0.872852 | − | 0.487985i | \(-0.162268\pi\) | |||||||
\(602\) | −24.0777 | + | 62.2636i | −0.981335 | + | 2.53768i | ||||
\(603\) | 3.43255 | + | 6.63744i | 0.139784 | + | 0.270297i | ||||
\(604\) | 35.8073 | + | 62.0200i | 1.45698 | + | 2.52356i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 4.75239 | − | 2.59893i | 0.193053 | − | 0.105574i | ||||
\(607\) | −38.3634 | + | 22.1491i | −1.55712 | + | 0.899005i | −0.559591 | + | 0.828769i | \(0.689042\pi\) |
−0.997530 | + | 0.0702358i | \(0.977625\pi\) | |||||||
\(608\) | −17.7763 | −0.720922 | ||||||||
\(609\) | 6.58919 | − | 15.9321i | 0.267007 | − | 0.645603i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 1.81940 | − | 1.05043i | 0.0736049 | − | 0.0424958i | ||||
\(612\) | 32.6913 | + | 1.51553i | 1.32147 | + | 0.0612618i | ||||
\(613\) | 4.02115 | − | 6.96484i | 0.162413 | − | 0.281307i | −0.773321 | − | 0.634015i | \(-0.781406\pi\) |
0.935733 | + | 0.352708i | \(0.114739\pi\) | |||||||
\(614\) | −12.8313 | − | 22.2245i | −0.517829 | − | 0.896907i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −4.02149 | − | 25.8038i | −0.162030 | − | 1.03967i | ||||
\(617\) | − | 13.1311i | − | 0.528637i | −0.964435 | − | 0.264318i | \(-0.914853\pi\) | ||
0.964435 | − | 0.264318i | \(-0.0851470\pi\) | |||||||
\(618\) | −18.0053 | − | 0.417130i | −0.724280 | − | 0.0167794i | ||||
\(619\) | 21.7909 | + | 12.5810i | 0.875850 | + | 0.505672i | 0.869288 | − | 0.494306i | \(-0.164578\pi\) |
0.00656210 | + | 0.999978i | \(0.497911\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 11.7111 | − | 5.71658i | 0.469949 | − | 0.229398i | ||||
\(622\) | 26.2783i | 1.05367i | ||||||||
\(623\) | −30.1249 | − | 11.6495i | −1.20693 | − | 0.466727i | ||||
\(624\) | 3.10867 | + | 1.89212i | 0.124447 | + | 0.0757455i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −0.321242 | + | 0.556407i | −0.0128394 | + | 0.0222385i | ||||
\(627\) | −8.13908 | − | 14.8831i | −0.325044 | − | 0.594373i | ||||
\(628\) | 5.36153 | − | 3.09548i | 0.213948 | − | 0.123523i | ||||
\(629\) | 8.40588 | 0.335164 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −9.42011 | −0.375009 | −0.187504 | − | 0.982264i | \(-0.560040\pi\) | ||||
−0.187504 | + | 0.982264i | \(0.560040\pi\) | |||||||
\(632\) | 68.9843 | − | 39.8281i | 2.74405 | − | 1.58428i | ||||
\(633\) | −4.11695 | − | 7.52823i | −0.163634 | − | 0.299220i | ||||
\(634\) | 38.7965 | − | 67.1975i | 1.54081 | − | 2.66875i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −9.23097 | − | 5.61851i | −0.366032 | − | 0.222788i | ||||
\(637\) | 2.46767 | + | 0.537299i | 0.0977725 | + | 0.0212885i | ||||
\(638\) | − | 16.2171i | − | 0.642041i | ||||||
\(639\) | −33.2878 | − | 21.3329i | −1.31684 | − | 0.843915i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −4.25254 | − | 2.45520i | −0.167965 | − | 0.0969747i | 0.413661 | − | 0.910431i | \(-0.364250\pi\) |
−0.581626 | + | 0.813456i | \(0.697583\pi\) | |||||||
\(642\) | 4.80973 | + | 0.111427i | 0.189825 | + | 0.00439768i | ||||
\(643\) | 8.98926i | 0.354502i | 0.984166 | + | 0.177251i | \(0.0567204\pi\) | ||||
−0.984166 | + | 0.177251i | \(0.943280\pi\) | |||||||
\(644\) | −17.8593 | − | 22.1664i | −0.703756 | − | 0.873478i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −18.1705 | − | 31.4723i | −0.714910 | − | 1.23826i | ||||
\(647\) | 0.119473 | − | 0.206934i | 0.00469699 | − | 0.00813542i | −0.863667 | − | 0.504062i | \(-0.831838\pi\) |
0.868364 | + | 0.495927i | \(0.165172\pi\) | |||||||
\(648\) | 46.9623 | − | 21.5918i | 1.84485 | − | 0.848205i | ||||
\(649\) | 10.2085 | − | 5.89388i | 0.400719 | − | 0.231355i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 7.77475 | + | 10.1209i | 0.304717 | + | 0.396669i | ||||
\(652\) | 72.3365 | 2.83292 | ||||||||
\(653\) | −1.69578 | + | 0.979061i | −0.0663611 | + | 0.0383136i | −0.532813 | − | 0.846233i | \(-0.678865\pi\) |
0.466452 | + | 0.884546i | \(0.345532\pi\) | |||||||
\(654\) | 34.7346 | − | 18.9953i | 1.35823 | − | 0.742774i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 7.67209 | + | 13.2885i | 0.299545 | + | 0.518827i | ||||
\(657\) | −31.0277 | + | 16.0459i | −1.21050 | + | 0.626012i | ||||
\(658\) | −38.1778 | + | 5.94996i | −1.48833 | + | 0.231953i | ||||
\(659\) | 31.6741i | 1.23385i | 0.787023 | + | 0.616924i | \(0.211621\pi\) | ||||
−0.787023 | + | 0.616924i | \(0.788379\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −24.8549 | − | 14.3500i | −0.966744 | − | 0.558150i | −0.0685020 | − | 0.997651i | \(-0.521822\pi\) |
−0.898242 | + | 0.439501i | \(0.855155\pi\) | |||||||
\(662\) | −18.1990 | − | 10.5072i | −0.707324 | − | 0.408374i | ||||
\(663\) | −0.0368033 | + | 1.58860i | −0.00142932 | + | 0.0616963i | ||||
\(664\) | − | 20.1255i | − | 0.781020i | ||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 22.0922 | − | 11.4250i | 0.856055 | − | 0.442709i | ||||
\(667\) | −4.71786 | − | 8.17157i | −0.182676 | − | 0.316404i | ||||
\(668\) | −15.4626 | + | 26.7821i | −0.598268 | + | 1.03623i | ||||
\(669\) | 23.7877 | − | 13.0088i | 0.919687 | − | 0.502948i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 2.75622 | 0.106403 | ||||||||
\(672\) | −8.70872 | − | 11.3367i | −0.335946 | − | 0.437322i | ||||
\(673\) | 33.9688 | 1.30940 | 0.654700 | − | 0.755889i | \(-0.272795\pi\) | ||||
0.654700 | + | 0.755889i | \(0.272795\pi\) | |||||||
\(674\) | −25.5106 | + | 14.7285i | −0.982631 | + | 0.567322i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 27.6054 | − | 47.8140i | 1.06175 | − | 1.83900i | ||||
\(677\) | −3.59472 | − | 6.22623i | −0.138156 | − | 0.239294i | 0.788643 | − | 0.614852i | \(-0.210784\pi\) |
−0.926799 | + | 0.375558i | \(0.877451\pi\) | |||||||
\(678\) | −8.56616 | + | 14.0738i | −0.328981 | + | 0.540502i | ||||
\(679\) | −13.5906 | − | 16.8682i | −0.521561 | − | 0.647343i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 21.8388 | + | 0.505940i | 0.836863 | + | 0.0193876i | ||||
\(682\) | 10.3962 | + | 6.00226i | 0.398092 | + | 0.229838i | ||||
\(683\) | 6.96307 | + | 4.02013i | 0.266435 | + | 0.153826i | 0.627266 | − | 0.778805i | \(-0.284174\pi\) |
−0.360832 | + | 0.932631i | \(0.617507\pi\) | |||||||
\(684\) | −61.7454 | − | 39.5703i | −2.36089 | − | 1.51301i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −38.7660 | − | 25.5861i | −1.48009 | − | 0.976883i | ||||
\(687\) | 8.86589 | + | 5.39630i | 0.338255 | + | 0.205882i | ||||
\(688\) | 29.2952 | + | 50.7407i | 1.11687 | + | 1.93447i | ||||
\(689\) | 0.262353 | − | 0.454409i | 0.00999485 | − | 0.0173116i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 38.3278 | − | 22.1286i | 1.45806 | − | 0.841810i | 0.459142 | − | 0.888363i | \(-0.348157\pi\) |
0.998916 | + | 0.0465523i | \(0.0148234\pi\) | |||||||
\(692\) | 38.5494 | 1.46543 | ||||||||
\(693\) | 5.50419 | − | 12.4820i | 0.209087 | − | 0.474151i | ||||
\(694\) | −1.10867 | −0.0420847 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | −17.9568 | − | 32.8356i | −0.680649 | − | 1.24463i | ||||
\(697\) | −3.34994 | + | 5.80226i | −0.126888 | + | 0.219776i | ||||
\(698\) | 27.2623 | + | 47.2197i | 1.03189 | + | 1.78729i | ||||
\(699\) | 32.2588 | + | 19.6346i | 1.22014 | + | 0.742649i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 0.779307i | 0.0294340i | 0.999892 | + | 0.0147170i | \(0.00468474\pi\) | ||||
−0.999892 | + | 0.0147170i | \(0.995315\pi\) | |||||||
\(702\) | 2.06245 | + | 4.22516i | 0.0778420 | + | 0.159468i | ||||
\(703\) | −16.3132 | − | 9.41841i | −0.615263 | − | 0.355222i | ||||
\(704\) | 5.69137 | + | 3.28592i | 0.214502 | + | 0.123843i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 57.1404i | 2.15051i | ||||||||
\(707\) | −0.508023 | − | 3.25973i | −0.0191062 | − | 0.122595i | ||||
\(708\) | 26.4963 | − | 43.5323i | 0.995792 | − | 1.63604i | ||||
\(709\) | −4.63267 | − | 8.02402i | −0.173984 | − | 0.301348i | 0.765825 | − | 0.643048i | \(-0.222331\pi\) |
−0.939809 | + | 0.341700i | \(0.888997\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 41.5649 | + | 1.92691i | 1.55880 | + | 0.0722646i | ||||
\(712\) | −60.7181 | + | 35.0556i | −2.27551 | + | 1.31376i | ||||
\(713\) | 6.98468 | 0.261578 | ||||||||
\(714\) | 11.1694 | − | 27.0066i | 0.418003 | − | 1.01070i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −40.7259 | + | 23.5131i | −1.52200 | + | 0.878725i | ||||
\(717\) | −37.8499 | + | 20.6989i | −1.41353 | + | 0.773015i | ||||
\(718\) | −31.3786 | + | 54.3493i | −1.17104 | + | 2.02830i | ||||
\(719\) | −9.09980 | − | 15.7613i | −0.339365 | − | 0.587798i | 0.644948 | − | 0.764226i | \(-0.276879\pi\) |
−0.984313 | + | 0.176428i | \(0.943546\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −3.95641 | + | 10.2310i | −0.147344 | + | 0.381024i | ||||
\(722\) | 33.7855i | 1.25737i | ||||||||
\(723\) | −0.683032 | + | 29.4829i | −0.0254022 | + | 1.09648i | ||||
\(724\) | −20.0363 | − | 11.5680i | −0.744643 | − | 0.429920i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −0.809513 | + | 34.9424i | −0.0300438 | + | 1.29683i | ||||
\(727\) | − | 31.6357i | − | 1.17330i | −0.809839 | − | 0.586652i | \(-0.800446\pi\) | ||
0.809839 | − | 0.586652i | \(-0.199554\pi\) | |||||||
\(728\) | 4.26889 | − | 3.43942i | 0.158216 | − | 0.127473i | ||||
\(729\) | 26.7397 | + | 3.74032i | 0.990358 | + | 0.138531i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −12.7914 | + | 22.1554i | −0.473108 | + | 0.819447i | ||||
\(732\) | 10.4547 | − | 5.71736i | 0.386418 | − | 0.211320i | ||||
\(733\) | 14.7298 | − | 8.50426i | 0.544058 | − | 0.314112i | −0.202664 | − | 0.979248i | \(-0.564960\pi\) |
0.746722 | + | 0.665136i | \(0.231627\pi\) | |||||||
\(734\) | −53.5381 | −1.97613 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −7.82374 | −0.288387 | ||||||||
\(737\) | 3.70742 | − | 2.14048i | 0.136565 | − | 0.0788457i | ||||
\(738\) | −0.918025 | + | 19.8025i | −0.0337930 | + | 0.728941i | ||||
\(739\) | −9.49020 | + | 16.4375i | −0.349103 | + | 0.604664i | −0.986090 | − | 0.166210i | \(-0.946847\pi\) |
0.636988 | + | 0.770874i | \(0.280180\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 1.85138 | − | 3.04174i | 0.0680123 | − | 0.111741i | ||||
\(742\) | −7.51471 | + | 6.05456i | −0.275874 | + | 0.222270i | ||||
\(743\) | − | 3.80063i | − | 0.139432i | −0.997567 | − | 0.0697159i | \(-0.977791\pi\) | ||
0.997567 | − | 0.0697159i | \(-0.0222093\pi\) | |||||||
\(744\) | 27.6959 | + | 0.641633i | 1.01538 | + | 0.0235234i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −30.7004 | − | 17.7249i | −1.12402 | − | 0.648953i | ||||
\(747\) | 5.67239 | − | 8.85118i | 0.207542 | − | 0.323848i | ||||
\(748\) | − | 18.7489i | − | 0.685526i | ||||||
\(749\) | 1.05687 | − | 2.73300i | 0.0386171 | − | 0.0998616i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 6.32279 | + | 10.9514i | 0.230722 | + | 0.399622i | 0.958021 | − | 0.286699i | \(-0.0925579\pi\) |
−0.727299 | + | 0.686321i | \(0.759225\pi\) | |||||||
\(752\) | −16.9559 | + | 29.3685i | −0.618319 | + | 1.07096i | ||||
\(753\) | 22.7646 | + | 41.6272i | 0.829589 | + | 1.51698i | ||||
\(754\) | 2.94817 | − | 1.70213i | 0.107366 | − | 0.0619878i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −5.01383 | − | 58.7635i | −0.182351 | − | 2.13721i | ||||
\(757\) | 6.50118 | 0.236289 | 0.118145 | − | 0.992996i | \(-0.462305\pi\) | ||||
0.118145 | + | 0.992996i | \(0.462305\pi\) | |||||||
\(758\) | −20.7180 | + | 11.9615i | −0.752512 | + | 0.434463i | ||||
\(759\) | −3.58220 | − | 6.55038i | −0.130026 | − | 0.237764i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −21.8912 | − | 37.9167i | −0.793556 | − | 1.37448i | −0.923752 | − | 0.382992i | \(-0.874894\pi\) |
0.130195 | − | 0.991488i | \(-0.458440\pi\) | |||||||
\(762\) | −22.2135 | − | 13.5205i | −0.804712 | − | 0.489795i | ||||
\(763\) | −3.71308 | − | 23.8249i | −0.134423 | − | 0.862521i | ||||
\(764\) | 91.4531i | 3.30866i | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −34.2529 | − | 19.7759i | −1.23761 | − | 0.714533i | ||||
\(767\) | 2.14294 | + | 1.23723i | 0.0773771 | + | 0.0446737i | ||||
\(768\) | 55.4993 | + | 1.28575i | 2.00266 | + | 0.0463957i | ||||
\(769\) | − | 33.3141i | − | 1.20134i | −0.799498 | − | 0.600668i | \(-0.794901\pi\) | ||
0.799498 | − | 0.600668i | \(-0.205099\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −27.3657 | + | 44.9606i | −0.985550 | + | 1.61922i | ||||
\(772\) | 29.8925 | + | 51.7754i | 1.07586 | + | 1.86344i | ||||
\(773\) | −21.1662 | + | 36.6610i | −0.761296 | + | 1.31860i | 0.180887 | + | 0.983504i | \(0.442103\pi\) |
−0.942183 | + | 0.335099i | \(0.891230\pi\) | |||||||
\(774\) | −3.50539 | + | 75.6141i | −0.125999 | + | 2.71789i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −47.0217 | −1.68798 | ||||||||
\(777\) | −1.98541 | − | 15.0178i | −0.0712262 | − | 0.538760i | ||||
\(778\) | 85.6477 | 3.07062 | ||||||||
\(779\) | 13.0024 | − | 7.50691i | 0.465858 | − | 0.268963i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −11.3253 | + | 19.6160i | −0.405251 | + | 0.701915i | ||||
\(782\) | −7.99727 | − | 13.8517i | −0.285982 | − | 0.495335i | ||||
\(783\) | 1.35737 | − | 19.5022i | 0.0485084 | − | 0.696952i | ||||
\(784\) | −38.8328 | + | 12.4054i | −1.38689 | + | 0.443049i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 1.46691 | − | 63.3188i | 0.0523229 | − | 2.25851i | ||||
\(787\) | 22.4388 | + | 12.9551i | 0.799859 | + | 0.461799i | 0.843422 | − | 0.537252i | \(-0.180538\pi\) |
−0.0435632 | + | 0.999051i | \(0.513871\pi\) | |||||||
\(788\) | −7.47506 | − | 4.31573i | −0.266288 | − | 0.153741i | ||||
\(789\) | −0.775704 | + | 33.4830i | −0.0276158 | + | 1.19203i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 6.29582 | + | 7.81416i | 0.223854 | + | 0.277839i | ||||
\(792\) | −13.6025 | − | 26.3029i | −0.483345 | − | 0.934633i | ||||
\(793\) | 0.289289 | + | 0.501064i | 0.0102730 | + | 0.0177933i | ||||
\(794\) | −5.37013 | + | 9.30134i | −0.190579 | + | 0.330092i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −29.6095 | + | 17.0951i | −1.04948 | + | 0.605918i | ||||
\(797\) | 27.5780 | 0.976865 | 0.488432 | − | 0.872602i | \(-0.337569\pi\) | ||||
0.488432 | + | 0.872602i | \(0.337569\pi\) | |||||||
\(798\) | −51.9360 | + | 39.8966i | −1.83851 | + | 1.41233i | ||||
\(799\) | −14.8073 | −0.523843 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −36.5842 | − | 1.69601i | −1.29264 | − | 0.0599255i | ||||
\(802\) | 15.6839 | − | 27.1653i | 0.553818 | − | 0.959240i | ||||
\(803\) | 10.0060 | + | 17.3309i | 0.353104 | + | 0.611594i | ||||
\(804\) | 9.62267 | − | 15.8096i | 0.339365 | − | 0.557563i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 2.51996i | 0.0887617i | ||||||||
\(807\) | 38.0976 | + | 0.882609i | 1.34110 | + | 0.0310693i | ||||
\(808\) | −6.20187 | − | 3.58065i | −0.218181 | − | 0.125967i | ||||
\(809\) | 27.0106 | + | 15.5946i | 0.949641 | + | 0.548275i | 0.892969 | − | 0.450117i | \(-0.148618\pi\) |
0.0566716 | + | 0.998393i | \(0.481951\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 17.5174i | 0.615120i | 0.951529 | + | 0.307560i | \(0.0995124\pi\) | ||||
−0.951529 | + | 0.307560i | \(0.900488\pi\) | |||||||
\(812\) | −42.1931 | + | 6.57572i | −1.48069 | + | 0.230763i | ||||
\(813\) | −22.2785 | − | 13.5600i | −0.781341 | − | 0.475569i | ||||
\(814\) | −7.12443 | − | 12.3399i | −0.249711 | − | 0.432512i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | −12.3071 | − | 22.5046i | −0.430834 | − | 0.787820i | ||||
\(817\) | 49.6483 | − | 28.6645i | 1.73697 | − | 1.00284i | ||||
\(818\) | 16.1948 | 0.566237 | ||||||||
\(819\) | 2.84686 | − | 0.309465i | 0.0994773 | − | 0.0108136i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 30.7324 | − | 17.7433i | 1.07257 | − | 0.619247i | 0.143685 | − | 0.989623i | \(-0.454105\pi\) |
0.928882 | + | 0.370377i | \(0.120771\pi\) | |||||||
\(822\) | −32.7506 | − | 59.8876i | −1.14231 | − | 2.08882i | ||||
\(823\) | −15.0235 | + | 26.0214i | −0.523686 | + | 0.907050i | 0.475934 | + | 0.879481i | \(0.342110\pi\) |
−0.999620 | + | 0.0275693i | \(0.991223\pi\) | |||||||
\(824\) | 11.9056 | + | 20.6211i | 0.414752 | + | 0.718371i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −28.5527 | − | 35.4386i | −0.993474 | − | 1.23307i | ||||
\(827\) | 21.6751i | 0.753717i | 0.926271 | + | 0.376859i | \(0.122996\pi\) | ||||
−0.926271 | + | 0.376859i | \(0.877004\pi\) | |||||||
\(828\) | −27.1756 | − | 17.4158i | −0.944416 | − | 0.605240i | ||||
\(829\) | 7.93492 | + | 4.58123i | 0.275591 | + | 0.159113i | 0.631426 | − | 0.775436i | \(-0.282470\pi\) |
−0.355835 | + | 0.934549i | \(0.615803\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 2.90212 | + | 0.0672336i | 0.100673 | + | 0.00233231i | ||||
\(832\) | 1.37954i | 0.0478270i | ||||||||
\(833\) | −13.1689 | − | 11.9759i | −0.456277 | − | 0.414941i | ||||
\(834\) | 33.2735 | − | 54.6669i | 1.15217 | − | 1.89296i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −21.0072 | + | 36.3856i | −0.726551 | + | 1.25842i | ||||
\(837\) | 11.9998 | + | 8.08831i | 0.414774 | + | 0.279573i | ||||
\(838\) | −21.7509 | + | 12.5579i | −0.751372 | + | 0.433805i | ||||
\(839\) | −31.7155 | −1.09494 | −0.547471 | − | 0.836825i | \(-0.684409\pi\) | ||||
−0.547471 | + | 0.836825i | \(0.684409\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 14.8452 | 0.511904 | ||||||||
\(842\) | −38.6302 | + | 22.3031i | −1.33128 | + | 0.768617i | ||||
\(843\) | 3.19258 | − | 1.74592i | 0.109958 | − | 0.0601327i | ||||
\(844\) | −10.6260 | + | 18.4047i | −0.365762 | + | 0.633518i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −38.9162 | + | 20.1255i | −1.33797 | + | 0.691928i | ||||
\(847\) | 19.8551 | + | 7.67809i | 0.682229 | + | 0.263822i | ||||
\(848\) | 8.46976i | 0.290853i | ||||||||
\(849\) | 0.200740 | − | 8.66487i | 0.00688936 | − | 0.297378i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −7.17980 | − | 4.14526i | −0.246120 | − | 0.142098i | ||||
\(852\) | −2.26803 | + | 97.8988i | −0.0777013 | + | 3.35396i | ||||
\(853\) | 10.2006i | 0.349262i | 0.984634 | + | 0.174631i | \(0.0558732\pi\) | ||||
−0.984634 | + | 0.174631i | \(0.944127\pi\) | |||||||
\(854\) | −1.63862 | − | 10.5142i | −0.0560726 | − | 0.359789i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −3.18032 | − | 5.50848i | −0.108701 | − | 0.188276i | ||||
\(857\) | 0.902790 | − | 1.56368i | 0.0308387 | − | 0.0534142i | −0.850194 | − | 0.526469i | \(-0.823516\pi\) |
0.881033 | + | 0.473055i | \(0.156849\pi\) | |||||||
\(858\) | 2.36327 | − | 1.29240i | 0.0806807 | − | 0.0441218i | ||||
\(859\) | −6.67971 | + | 3.85653i | −0.227909 | + | 0.131583i | −0.609607 | − | 0.792704i | \(-0.708673\pi\) |
0.381698 | + | 0.924287i | \(0.375339\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 11.1574 | + | 4.61448i | 0.380244 | + | 0.157261i | ||||
\(862\) | 7.37109 | 0.251060 | ||||||||
\(863\) | 19.3584 | − | 11.1766i | 0.658967 | − | 0.380455i | −0.132916 | − | 0.991127i | \(-0.542434\pi\) |
0.791883 | + | 0.610673i | \(0.209101\pi\) | |||||||
\(864\) | −13.4413 | − | 9.05994i | −0.457283 | − | 0.308226i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 39.7107 | + | 68.7809i | 1.34942 | + | 2.33727i | ||||
\(867\) | −9.48604 | + | 15.5852i | −0.322163 | + | 0.529300i | ||||
\(868\) | 11.4010 | − | 29.4823i | 0.386975 | − | 1.00069i | ||||
\(869\) | − | 23.8380i | − | 0.808648i | ||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0.778253 | + | 0.449324i | 0.0263701 | + | 0.0152248i | ||||
\(872\) | −45.3287 | − | 26.1705i | −1.53502 | − | 0.886246i | ||||
\(873\) | −20.6801 | − | 13.2531i | −0.699916 | − | 0.448549i | ||||
\(874\) | 35.8423i | 1.21238i | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 73.9045 | + | 44.9826i | 2.49700 | + | 1.51982i | ||||
\(877\) | 25.8714 | + | 44.8106i | 0.873615 | + | 1.51315i | 0.858231 | + | 0.513264i | \(0.171564\pi\) |
0.0153839 | + | 0.999882i | \(0.495103\pi\) | |||||||
\(878\) | −26.9545 | + | 46.6866i | −0.909671 | + | 1.57560i | ||||
\(879\) | −14.3551 | − | 26.2496i | −0.484185 | − | 0.885377i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −40.9882 | −1.38093 | −0.690464 | − | 0.723367i | \(-0.742594\pi\) | ||||
−0.690464 | + | 0.723367i | \(0.742594\pi\) | |||||||
\(882\) | −50.8877 | − | 13.5762i | −1.71348 | − | 0.457134i | ||||
\(883\) | −10.6943 | −0.359891 | −0.179945 | − | 0.983677i | \(-0.557592\pi\) | ||||
−0.179945 | + | 0.983677i | \(0.557592\pi\) | |||||||
\(884\) | 3.40843 | − | 1.96786i | 0.114638 | − | 0.0661861i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 32.9415 | − | 57.0563i | 1.10669 | − | 1.91684i | ||||
\(887\) | 23.5424 | + | 40.7766i | 0.790476 | + | 1.36914i | 0.925672 | + | 0.378326i | \(0.123500\pi\) |
−0.135196 | + | 0.990819i | \(0.543167\pi\) | |||||||
\(888\) | −28.0888 | − | 17.0965i | −0.942599 | − | 0.573721i | ||||
\(889\) | −12.3335 | + | 9.93706i | −0.413654 | + | 0.333278i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 1.43111 | − | 15.4019i | 0.0479439 | − | 0.515983i | ||||
\(892\) | −58.1554 | − | 33.5760i | −1.94719 | − | 1.12421i | ||||
\(893\) | 28.7362 | + | 16.5909i | 0.961621 | + | 0.555192i | ||||
\(894\) | 55.1646 | + | 1.27800i | 1.84498 | + | 0.0427427i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 15.1050 | − | 39.0605i | 0.504621 | − | 1.30492i | ||||
\(897\) | 0.814836 | − | 1.33874i | 0.0272066 | − | 0.0446993i | ||||
\(898\) | 45.1523 | + | 78.2061i | 1.50675 | + | 2.60977i | ||||
\(899\) | 5.23895 | − | 9.07413i | 0.174729 | − | 0.302639i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −3.20276 | + | 1.84912i | −0.106699 | + | 0.0616030i | ||||
\(902\) | 11.3570 | 0.378147 | ||||||||
\(903\) | 42.6037 | + | 17.6200i | 1.41776 | + | 0.586355i | ||||
\(904\) | 21.7827 | 0.724480 | ||||||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 63.6236 | − | 34.7937i | 2.11375 | − | 1.15594i | ||||
\(907\) | 4.35909 | − | 7.55017i | 0.144741 | − | 0.250699i | −0.784535 | − | 0.620084i | \(-0.787098\pi\) |
0.929276 | + | 0.369385i | \(0.120432\pi\) | |||||||
\(908\) | −27.0524 | − | 46.8561i | −0.897765 | − | 1.55497i | ||||
\(909\) | −1.71837 | − | 3.32277i | −0.0569947 | − | 0.110209i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | − | 4.85314i | − | 0.160792i | −0.996763 | − | 0.0803958i | \(-0.974382\pi\) | ||
0.996763 | − | 0.0803958i | \(-0.0256184\pi\) | |||||||
\(912\) | −1.33127 | + | 57.4639i | −0.0440827 | + | 1.90282i | ||||
\(913\) | −5.21587 | − | 3.01138i | −0.172620 | − | 0.0996622i | ||||
\(914\) | −39.6310 | − | 22.8809i | −1.31088 | − | 0.756834i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | − | 25.7068i | − | 0.849376i | ||||||
\(917\) | −35.9792 | − | 13.9134i | −1.18814 | − | 0.459460i | ||||
\(918\) | 2.30088 | − | 33.0583i | 0.0759405 | − | 1.09109i | ||||
\(919\) | −17.9292 | − | 31.0543i | −0.591429 | − | 1.02439i | −0.994040 | − | 0.109014i | \(-0.965231\pi\) |
0.402611 | − | 0.915371i | \(-0.368103\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −15.5497 | + | 8.50365i | −0.512381 | + | 0.280205i | ||||
\(922\) | 49.5366 | − | 28.6000i | 1.63140 | − | 0.941889i | ||||
\(923\) | −4.75475 | −0.156505 | ||||||||
\(924\) | −33.4963 | + | 4.42835i | −1.10195 | + | 0.145682i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 50.7629 | − | 29.3080i | 1.66817 | − | 0.963120i | ||||
\(927\) | −0.576000 | + | 12.4248i | −0.0189183 | + | 0.408083i | ||||
\(928\) | −5.86830 | + | 10.1642i | −0.192636 | + | 0.333656i | ||||
\(929\) | 12.7001 | + | 21.9973i | 0.416678 | + | 0.721707i | 0.995603 | − | 0.0936737i | \(-0.0298611\pi\) |
−0.578925 | + | 0.815381i | \(0.696528\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 12.1383 | + | 37.9967i | 0.397816 | + | 1.24529i | ||||
\(932\) | − | 93.5349i | − | 3.06384i | ||||||
\(933\) | 18.1434 | + | 0.420329i | 0.593988 | + | 0.0137610i | ||||
\(934\) | 23.6515 | + | 13.6552i | 0.773902 | + | 0.446813i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 3.35400 | − | 5.23357i | 0.109629 | − | 0.171065i | ||||
\(937\) | − | 40.3037i | − | 1.31667i | −0.752727 | − | 0.658333i | \(-0.771262\pi\) | ||
0.752727 | − | 0.658333i | \(-0.228738\pi\) | |||||||
\(938\) | −10.3695 | − | 12.8702i | −0.338576 | − | 0.420228i | ||||
\(939\) | 0.379023 | + | 0.230695i | 0.0123689 | + | 0.00752846i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −9.12065 | + | 15.7974i | −0.297325 | + | 0.514982i | −0.975523 | − | 0.219897i | \(-0.929428\pi\) |
0.678198 | + | 0.734879i | \(0.262761\pi\) | |||||||
\(942\) | −3.00786 | − | 5.50016i | −0.0980015 | − | 0.179205i | ||||
\(943\) | 5.72264 | − | 3.30396i | 0.186355 | − | 0.107592i | ||||
\(944\) | −39.9425 | −1.30002 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 43.3657 | 1.40994 | ||||||||
\(947\) | −16.3233 | + | 9.42425i | −0.530435 | + | 0.306247i | −0.741194 | − | 0.671291i | \(-0.765740\pi\) |
0.210759 | + | 0.977538i | \(0.432407\pi\) | |||||||
\(948\) | −49.4483 | − | 90.4208i | −1.60601 | − | 2.93673i | ||||
\(949\) | −2.10043 | + | 3.63806i | −0.0681830 | + | 0.118096i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −45.7747 | − | 27.8612i | −1.48435 | − | 0.903461i | ||||
\(952\) | −38.1778 | + | 5.94996i | −1.23735 | + | 0.192839i | ||||
\(953\) | 25.3110i | 0.819903i | 0.912107 | + | 0.409952i | \(0.134454\pi\) | ||||
−0.912107 | + | 0.409952i | \(0.865546\pi\) | |||||||
\(954\) | −5.90419 | + | 9.21289i | −0.191155 | + | 0.298278i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 92.5341 | + | 53.4246i | 2.99277 | + | 1.72787i | ||||
\(957\) | −11.1968 | − | 0.259397i | −0.361941 | − | 0.00838511i | ||||
\(958\) | 25.7737i | 0.832712i | ||||||||
\(959\) | −41.0777 | + | 6.40189i | −1.32647 | + | 0.206728i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −11.6219 | − | 20.1298i | −0.374901 | − | 0.649347i | ||||
\(962\) | 1.49554 | − | 2.59035i | 0.0482182 | − | 0.0835164i | ||||
\(963\) | 0.153866 | − | 3.31901i | 0.00495825 | − | 0.106953i | ||||
\(964\) | 63.2570 | − | 36.5214i | 2.03737 | − | 1.17628i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −22.8582 | + | 17.5594i | −0.735451 | + | 0.564965i | ||||
\(967\) | −32.2840 | −1.03818 | −0.519092 | − | 0.854718i | \(-0.673730\pi\) | ||||
−0.519092 | + | 0.854718i | \(0.673730\pi\) | |||||||
\(968\) | 40.0188 | − | 23.1049i | 1.28625 | − | 0.742619i | ||||
\(969\) | −22.0201 | + | 12.0421i | −0.707387 | + | 0.386848i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 0.693916 | + | 1.20190i | 0.0222688 | + | 0.0385707i | 0.876945 | − | 0.480591i | \(-0.159578\pi\) |
−0.854676 | + | 0.519161i | \(0.826244\pi\) | |||||||
\(972\) | −26.5205 | − | 61.3901i | −0.850645 | − | 1.96909i | ||||
\(973\) | −24.4548 | − | 30.3525i | −0.783986 | − | 0.973056i | ||||
\(974\) | − | 34.7293i | − | 1.11280i | ||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −8.08813 | − | 4.66968i | −0.258895 | − | 0.149473i | ||||
\(977\) | 50.0663 | + | 28.9058i | 1.60176 | + | 0.924779i | 0.991134 | + | 0.132863i | \(0.0424169\pi\) |
0.610630 | + | 0.791916i | \(0.290916\pi\) | |||||||
\(978\) | 1.69646 | − | 73.2274i | 0.0542469 | − | 2.34155i | ||||
\(979\) | 20.9815i | 0.670572i | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −12.5593 | − | 24.2857i | −0.400989 | − | 0.775383i | ||||
\(982\) | 17.0518 | + | 29.5346i | 0.544145 | + | 0.942487i | ||||
\(983\) | 13.0057 | − | 22.5265i | 0.414818 | − | 0.718485i | −0.580592 | − | 0.814195i | \(-0.697179\pi\) |
0.995409 | + | 0.0957097i | \(0.0305120\pi\) | |||||||
\(984\) | 22.9951 | − | 12.5753i | 0.733058 | − | 0.400886i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | −23.9938 | −0.764119 | ||||||||
\(987\) | 3.49737 | + | 26.4543i | 0.111323 | + | 0.842051i | ||||
\(988\) | −8.81958 | −0.280588 | ||||||||
\(989\) | 21.8514 | − | 12.6159i | 0.694833 | − | 0.401162i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 18.1162 | − | 31.3782i | 0.575480 | − | 0.996760i | −0.420510 | − | 0.907288i | \(-0.638149\pi\) |
0.995989 | − | 0.0894720i | \(-0.0285180\pi\) | |||||||
\(992\) | −4.34394 | − | 7.52393i | −0.137920 | − | 0.238885i | ||||
\(993\) | −7.54560 | + | 12.3971i | −0.239452 | + | 0.393410i | ||||
\(994\) | 81.5627 | + | 31.5408i | 2.58701 | + | 1.00041i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −26.0312 | − | 0.603066i | −0.824829 | − | 0.0191089i | ||||
\(997\) | −29.9600 | − | 17.2974i | −0.948842 | − | 0.547814i | −0.0561210 | − | 0.998424i | \(-0.517873\pi\) |
−0.892721 | + | 0.450610i | \(0.851207\pi\) | |||||||
\(998\) | −78.6490 | − | 45.4080i | −2.48959 | − | 1.43737i | ||||
\(999\) | −7.53479 | − | 15.4359i | −0.238390 | − | 0.488370i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))