Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [735,2,Mod(197,735)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(735, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("735.197");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 735 = 3 \cdot 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 735.j (of order \(4\), 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: | \(5.86900454856\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(12\) over \(\Q(i)\) |
Twist minimal: | no (minimal twist has level 105) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 197.2 | ||
Character | \(\chi\) | \(=\) | 735.197 |
Dual form | 735.2.j.e.638.2 |
$q$-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 \(\left(\mathbb{Z}/735\mathbb{Z}\right)^\times\).
\(n\) | \(346\) | \(442\) | \(491\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.59037 | + | 1.59037i | −1.12456 | + | 1.12456i | −0.133519 | + | 0.991046i | \(0.542628\pi\) |
−0.991046 | + | 0.133519i | \(0.957372\pi\) | |||||||
\(3\) | 1.36228 | − | 1.06967i | 0.786513 | − | 0.617574i | ||||
\(4\) | − | 3.05858i | − | 1.52929i | ||||||
\(5\) | 0.812581 | + | 2.08320i | 0.363397 | + | 0.931634i | ||||
\(6\) | −0.465359 | + | 3.86771i | −0.189982 | + | 1.57899i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 1.68355 | + | 1.68355i | 0.595223 | + | 0.595223i | ||||
\(9\) | 0.711613 | − | 2.91438i | 0.237204 | − | 0.971460i | ||||
\(10\) | −4.60537 | − | 2.02076i | −1.45635 | − | 0.639019i | ||||
\(11\) | − | 4.48865i | − | 1.35338i | −0.736268 | − | 0.676690i | \(-0.763414\pi\) | ||
0.736268 | − | 0.676690i | \(-0.236586\pi\) | |||||||
\(12\) | −3.27168 | − | 4.16665i | −0.944451 | − | 1.20281i | ||||
\(13\) | 1.08424 | − | 1.08424i | 0.300715 | − | 0.300715i | −0.540578 | − | 0.841294i | \(-0.681795\pi\) |
0.841294 | + | 0.540578i | \(0.181795\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 3.33530 | + | 1.96870i | 0.861170 | + | 0.508317i | ||||
\(16\) | 0.762231 | 0.190558 | ||||||||
\(17\) | 1.49970 | − | 1.49970i | 0.363731 | − | 0.363731i | −0.501454 | − | 0.865185i | \(-0.667201\pi\) |
0.865185 | + | 0.501454i | \(0.167201\pi\) | |||||||
\(18\) | 3.50322 | + | 5.76669i | 0.825718 | + | 1.35922i | ||||
\(19\) | − | 4.22707i | − | 0.969757i | −0.874582 | − | 0.484878i | \(-0.838864\pi\) | ||
0.874582 | − | 0.484878i | \(-0.161136\pi\) | |||||||
\(20\) | 6.37164 | − | 2.48535i | 1.42474 | − | 0.555740i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 7.13864 | + | 7.13864i | 1.52196 | + | 1.52196i | ||||
\(23\) | −2.29591 | − | 2.29591i | −0.478731 | − | 0.478731i | 0.425995 | − | 0.904726i | \(-0.359924\pi\) |
−0.904726 | + | 0.425995i | \(0.859924\pi\) | |||||||
\(24\) | 4.09430 | + | 0.492622i | 0.835745 | + | 0.100556i | ||||
\(25\) | −3.67942 | + | 3.38553i | −0.735885 | + | 0.677107i | ||||
\(26\) | 3.44871i | 0.676347i | ||||||||
\(27\) | −2.14801 | − | 4.73139i | −0.413384 | − | 0.910557i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −1.69118 | −0.314045 | −0.157023 | − | 0.987595i | \(-0.550190\pi\) | ||||
−0.157023 | + | 0.987595i | \(0.550190\pi\) | |||||||
\(30\) | −8.43535 | + | 2.17339i | −1.54008 | + | 0.396805i | ||||
\(31\) | 1.06015 | 0.190409 | 0.0952047 | − | 0.995458i | \(-0.469649\pi\) | ||||
0.0952047 | + | 0.995458i | \(0.469649\pi\) | |||||||
\(32\) | −4.57932 | + | 4.57932i | −0.809518 | + | 0.809518i | ||||
\(33\) | −4.80137 | − | 6.11480i | −0.835812 | − | 1.06445i | ||||
\(34\) | 4.77017i | 0.818078i | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −8.91388 | − | 2.17653i | −1.48565 | − | 0.362755i | ||||
\(37\) | 4.21494 | + | 4.21494i | 0.692931 | + | 0.692931i | 0.962876 | − | 0.269944i | \(-0.0870053\pi\) |
−0.269944 | + | 0.962876i | \(0.587005\pi\) | |||||||
\(38\) | 6.72263 | + | 6.72263i | 1.09055 | + | 1.09055i | ||||
\(39\) | 0.317261 | − | 2.63683i | 0.0508023 | − | 0.422230i | ||||
\(40\) | −2.13914 | + | 4.87518i | −0.338228 | + | 0.770833i | ||||
\(41\) | − | 5.84230i | − | 0.912414i | −0.889874 | − | 0.456207i | \(-0.849208\pi\) | ||
0.889874 | − | 0.456207i | \(-0.150792\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 2.00369 | − | 2.00369i | 0.305559 | − | 0.305559i | −0.537625 | − | 0.843184i | \(-0.680678\pi\) |
0.843184 | + | 0.537625i | \(0.180678\pi\) | |||||||
\(44\) | −13.7289 | −2.06971 | ||||||||
\(45\) | 6.64947 | − | 0.885739i | 0.991245 | − | 0.132038i | ||||
\(46\) | 7.30273 | 1.07673 | ||||||||
\(47\) | 3.73368 | − | 3.73368i | 0.544613 | − | 0.544613i | −0.380265 | − | 0.924878i | \(-0.624167\pi\) |
0.924878 | + | 0.380265i | \(0.124167\pi\) | |||||||
\(48\) | 1.03837 | − | 0.815335i | 0.149876 | − | 0.117684i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 0.467398 | − | 11.2359i | 0.0661001 | − | 1.58900i | ||||
\(51\) | 0.438827 | − | 3.64720i | 0.0614481 | − | 0.510710i | ||||
\(52\) | −3.31625 | − | 3.31625i | −0.459881 | − | 0.459881i | ||||
\(53\) | 6.11026 | + | 6.11026i | 0.839309 | + | 0.839309i | 0.988768 | − | 0.149459i | \(-0.0477532\pi\) |
−0.149459 | + | 0.988768i | \(0.547753\pi\) | |||||||
\(54\) | 10.9408 | + | 4.10855i | 1.48886 | + | 0.559102i | ||||
\(55\) | 9.35075 | − | 3.64739i | 1.26085 | − | 0.491814i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −4.52157 | − | 5.75846i | −0.598897 | − | 0.762726i | ||||
\(58\) | 2.68962 | − | 2.68962i | 0.353164 | − | 0.353164i | ||||
\(59\) | −4.70273 | −0.612244 | −0.306122 | − | 0.951992i | \(-0.599032\pi\) | ||||
−0.306122 | + | 0.951992i | \(0.599032\pi\) | |||||||
\(60\) | 6.02145 | − | 10.2013i | 0.777366 | − | 1.31698i | ||||
\(61\) | 7.77655 | 0.995685 | 0.497842 | − | 0.867267i | \(-0.334126\pi\) | ||||
0.497842 | + | 0.867267i | \(0.334126\pi\) | |||||||
\(62\) | −1.68604 | + | 1.68604i | −0.214128 | + | 0.214128i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | − | 13.0412i | − | 1.63015i | ||||||
\(65\) | 3.13973 | + | 1.37766i | 0.389436 | + | 0.170878i | ||||
\(66\) | 17.3608 | + | 2.08884i | 2.13697 | + | 0.257118i | ||||
\(67\) | −0.416987 | − | 0.416987i | −0.0509430 | − | 0.0509430i | 0.681176 | − | 0.732119i | \(-0.261469\pi\) |
−0.732119 | + | 0.681176i | \(0.761469\pi\) | |||||||
\(68\) | −4.58696 | − | 4.58696i | −0.556251 | − | 0.556251i | ||||
\(69\) | −5.58355 | − | 0.671807i | −0.672180 | − | 0.0808761i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 4.66845i | 0.554043i | 0.960864 | + | 0.277022i | \(0.0893473\pi\) | ||||
−0.960864 | + | 0.277022i | \(0.910653\pi\) | |||||||
\(72\) | 6.10452 | − | 3.70846i | 0.719425 | − | 0.437046i | ||||
\(73\) | −3.08953 | + | 3.08953i | −0.361603 | + | 0.361603i | −0.864403 | − | 0.502800i | \(-0.832303\pi\) |
0.502800 | + | 0.864403i | \(0.332303\pi\) | |||||||
\(74\) | −13.4067 | −1.55849 | ||||||||
\(75\) | −1.39100 | + | 8.54781i | −0.160619 | + | 0.987016i | ||||
\(76\) | −12.9289 | −1.48304 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 3.68898 | + | 4.69811i | 0.417695 | + | 0.531956i | ||||
\(79\) | − | 6.67834i | − | 0.751372i | −0.926747 | − | 0.375686i | \(-0.877407\pi\) | ||
0.926747 | − | 0.375686i | \(-0.122593\pi\) | |||||||
\(80\) | 0.619374 | + | 1.58788i | 0.0692481 | + | 0.177530i | ||||
\(81\) | −7.98721 | − | 4.14782i | −0.887468 | − | 0.460869i | ||||
\(82\) | 9.29145 | + | 9.29145i | 1.02607 | + | 1.02607i | ||||
\(83\) | 11.0713 | + | 11.0713i | 1.21523 | + | 1.21523i | 0.969283 | + | 0.245948i | \(0.0790991\pi\) |
0.245948 | + | 0.969283i | \(0.420901\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 4.34280 | + | 1.90555i | 0.471043 | + | 0.206685i | ||||
\(86\) | 6.37323i | 0.687243i | ||||||||
\(87\) | −2.30387 | + | 1.80901i | −0.247000 | + | 0.193946i | ||||
\(88\) | 7.55685 | − | 7.55685i | 0.805563 | − | 0.805563i | ||||
\(89\) | −3.51360 | −0.372441 | −0.186221 | − | 0.982508i | \(-0.559624\pi\) | ||||
−0.186221 | + | 0.982508i | \(0.559624\pi\) | |||||||
\(90\) | −9.16649 | + | 11.9838i | −0.966233 | + | 1.26320i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −7.02225 | + | 7.02225i | −0.732120 | + | 0.732120i | ||||
\(93\) | 1.44423 | − | 1.13402i | 0.149759 | − | 0.117592i | ||||
\(94\) | 11.8759i | 1.22491i | ||||||||
\(95\) | 8.80583 | − | 3.43484i | 0.903459 | − | 0.352407i | ||||
\(96\) | −1.33996 | + | 11.1367i | −0.136759 | + | 1.13663i | ||||
\(97\) | 5.60466 | + | 5.60466i | 0.569067 | + | 0.569067i | 0.931867 | − | 0.362800i | \(-0.118179\pi\) |
−0.362800 | + | 0.931867i | \(0.618179\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −13.0816 | − | 3.19418i | −1.31475 | − | 0.321027i | ||||
\(100\) | 10.3549 | + | 11.2538i | 1.03549 | + | 1.12538i | ||||
\(101\) | − | 13.2297i | − | 1.31641i | −0.752840 | − | 0.658204i | \(-0.771317\pi\) | ||
0.752840 | − | 0.658204i | \(-0.228683\pi\) | |||||||
\(102\) | 5.10251 | + | 6.49831i | 0.505224 | + | 0.643429i | ||||
\(103\) | 2.49067 | − | 2.49067i | 0.245413 | − | 0.245413i | −0.573672 | − | 0.819085i | \(-0.694482\pi\) |
0.819085 | + | 0.573672i | \(0.194482\pi\) | |||||||
\(104\) | 3.65075 | 0.357985 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −19.4352 | −1.88771 | ||||||||
\(107\) | −6.57776 | + | 6.57776i | −0.635896 | + | 0.635896i | −0.949541 | − | 0.313644i | \(-0.898450\pi\) |
0.313644 | + | 0.949541i | \(0.398450\pi\) | |||||||
\(108\) | −14.4714 | + | 6.56986i | −1.39251 | + | 0.632186i | ||||
\(109\) | 18.8955i | 1.80986i | 0.425564 | + | 0.904928i | \(0.360076\pi\) | ||||
−0.425564 | + | 0.904928i | \(0.639924\pi\) | |||||||
\(110\) | −9.07047 | + | 20.6719i | −0.864836 | + | 1.97099i | ||||
\(111\) | 10.2505 | + | 1.23333i | 0.972936 | + | 0.117063i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 8.67219 | + | 8.67219i | 0.815811 | + | 0.815811i | 0.985498 | − | 0.169687i | \(-0.0542757\pi\) |
−0.169687 | + | 0.985498i | \(0.554276\pi\) | |||||||
\(114\) | 16.3491 | + | 1.96711i | 1.53123 | + | 0.184237i | ||||
\(115\) | 2.91723 | − | 6.64846i | 0.272033 | − | 0.619972i | ||||
\(116\) | 5.17263i | 0.480267i | ||||||||
\(117\) | −2.38834 | − | 3.93146i | −0.220802 | − | 0.363464i | ||||
\(118\) | 7.47911 | − | 7.47911i | 0.688508 | − | 0.688508i | ||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 2.30072 | + | 8.92953i | 0.210026 | + | 0.815151i | ||||
\(121\) | −9.14799 | −0.831635 | ||||||||
\(122\) | −12.3676 | + | 12.3676i | −1.11971 | + | 1.11971i | ||||
\(123\) | −6.24933 | − | 7.95885i | −0.563484 | − | 0.717625i | ||||
\(124\) | − | 3.24257i | − | 0.291192i | ||||||
\(125\) | −10.0426 | − | 4.91395i | −0.898234 | − | 0.439517i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 6.12576 | + | 6.12576i | 0.543573 | + | 0.543573i | 0.924574 | − | 0.381001i | \(-0.124421\pi\) |
−0.381001 | + | 0.924574i | \(0.624421\pi\) | |||||||
\(128\) | 11.5818 | + | 11.5818i | 1.02369 | + | 1.02369i | ||||
\(129\) | 0.586299 | − | 4.87287i | 0.0516207 | − | 0.429032i | ||||
\(130\) | −7.18434 | + | 2.80235i | −0.630109 | + | 0.245783i | ||||
\(131\) | − | 17.5339i | − | 1.53194i | −0.642874 | − | 0.765972i | \(-0.722258\pi\) | ||
0.642874 | − | 0.765972i | \(-0.277742\pi\) | |||||||
\(132\) | −18.7026 | + | 14.6854i | −1.62785 | + | 1.27820i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 1.32633 | 0.114578 | ||||||||
\(135\) | 8.11099 | − | 8.31936i | 0.698083 | − | 0.716017i | ||||
\(136\) | 5.04963 | 0.433002 | ||||||||
\(137\) | −3.82199 | + | 3.82199i | −0.326534 | + | 0.326534i | −0.851267 | − | 0.524733i | \(-0.824165\pi\) |
0.524733 | + | 0.851267i | \(0.324165\pi\) | |||||||
\(138\) | 9.94836 | − | 7.81151i | 0.846860 | − | 0.664960i | ||||
\(139\) | − | 6.37838i | − | 0.541007i | −0.962719 | − | 0.270504i | \(-0.912810\pi\) | ||
0.962719 | − | 0.270504i | \(-0.0871902\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 1.09251 | − | 9.08012i | 0.0920061 | − | 0.764684i | ||||
\(142\) | −7.42459 | − | 7.42459i | −0.623057 | − | 0.623057i | ||||
\(143\) | −4.86679 | − | 4.86679i | −0.406982 | − | 0.406982i | ||||
\(144\) | 0.542413 | − | 2.22143i | 0.0452011 | − | 0.185119i | ||||
\(145\) | −1.37422 | − | 3.52307i | −0.114123 | − | 0.292575i | ||||
\(146\) | − | 9.82703i | − | 0.813291i | ||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 12.8917 | − | 12.8917i | 1.05969 | − | 1.05969i | ||||
\(149\) | 11.0860 | 0.908196 | 0.454098 | − | 0.890952i | \(-0.349962\pi\) | ||||
0.454098 | + | 0.890952i | \(0.349962\pi\) | |||||||
\(150\) | −11.3820 | − | 15.8064i | −0.929337 | − | 1.29059i | ||||
\(151\) | −10.5493 | −0.858489 | −0.429245 | − | 0.903188i | \(-0.641220\pi\) | ||||
−0.429245 | + | 0.903188i | \(0.641220\pi\) | |||||||
\(152\) | 7.11647 | − | 7.11647i | 0.577222 | − | 0.577222i | ||||
\(153\) | −3.30349 | − | 5.43791i | −0.267072 | − | 0.439629i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0.861461 | + | 2.20851i | 0.0691942 | + | 0.177392i | ||||
\(156\) | −8.06496 | − | 0.970368i | −0.645713 | − | 0.0776916i | ||||
\(157\) | −2.35651 | − | 2.35651i | −0.188070 | − | 0.188070i | 0.606791 | − | 0.794861i | \(-0.292456\pi\) |
−0.794861 | + | 0.606791i | \(0.792456\pi\) | |||||||
\(158\) | 10.6211 | + | 10.6211i | 0.844967 | + | 0.844967i | ||||
\(159\) | 14.8598 | + | 1.78792i | 1.17846 | + | 0.141792i | ||||
\(160\) | −13.2607 | − | 5.81857i | −1.04835 | − | 0.459998i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 19.2993 | − | 6.10608i | 1.51629 | − | 0.479739i | ||||
\(163\) | −5.05049 | + | 5.05049i | −0.395585 | + | 0.395585i | −0.876673 | − | 0.481087i | \(-0.840242\pi\) |
0.481087 | + | 0.876673i | \(0.340242\pi\) | |||||||
\(164\) | −17.8692 | −1.39535 | ||||||||
\(165\) | 8.83683 | − | 14.9710i | 0.687946 | − | 1.16549i | ||||
\(166\) | −35.2150 | −2.73321 | ||||||||
\(167\) | 11.9043 | − | 11.9043i | 0.921184 | − | 0.921184i | −0.0759296 | − | 0.997113i | \(-0.524192\pi\) |
0.997113 | + | 0.0759296i | \(0.0241924\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 10.6488i | 0.819141i | ||||||||
\(170\) | −9.93722 | + | 3.87615i | −0.762150 | + | 0.297287i | ||||
\(171\) | −12.3193 | − | 3.00804i | −0.942080 | − | 0.230030i | ||||
\(172\) | −6.12844 | − | 6.12844i | −0.467290 | − | 0.467290i | ||||
\(173\) | 0.0444368 | + | 0.0444368i | 0.00337846 | + | 0.00337846i | 0.708794 | − | 0.705416i | \(-0.249240\pi\) |
−0.705416 | + | 0.708794i | \(0.749240\pi\) | |||||||
\(174\) | 0.787009 | − | 6.54101i | 0.0596630 | − | 0.495873i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | − | 3.42139i | − | 0.257897i | ||||||
\(177\) | −6.40644 | + | 5.03037i | −0.481538 | + | 0.378106i | ||||
\(178\) | 5.58795 | − | 5.58795i | 0.418834 | − | 0.418834i | ||||
\(179\) | −19.9154 | −1.48854 | −0.744272 | − | 0.667877i | \(-0.767203\pi\) | ||||
−0.744272 | + | 0.667877i | \(0.767203\pi\) | |||||||
\(180\) | −2.70911 | − | 20.3380i | −0.201925 | − | 1.51590i | ||||
\(181\) | −13.0871 | −0.972754 | −0.486377 | − | 0.873749i | \(-0.661682\pi\) | ||||
−0.486377 | + | 0.873749i | \(0.661682\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 10.5938 | − | 8.31834i | 0.783119 | − | 0.614909i | ||||
\(184\) | − | 7.73055i | − | 0.569904i | ||||||
\(185\) | −5.35557 | + | 12.2055i | −0.393749 | + | 0.897368i | ||||
\(186\) | −0.493353 | + | 4.10037i | −0.0361744 | + | 0.300654i | ||||
\(187\) | −6.73164 | − | 6.73164i | −0.492266 | − | 0.492266i | ||||
\(188\) | −11.4198 | − | 11.4198i | −0.832873 | − | 0.832873i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −8.54189 | + | 19.4672i | −0.619694 | + | 1.41230i | ||||
\(191\) | − | 11.5576i | − | 0.836275i | −0.908384 | − | 0.418138i | \(-0.862683\pi\) | ||
0.908384 | − | 0.418138i | \(-0.137317\pi\) | |||||||
\(192\) | −13.9498 | − | 17.7658i | −1.00674 | − | 1.28214i | ||||
\(193\) | 9.95169 | − | 9.95169i | 0.716338 | − | 0.716338i | −0.251515 | − | 0.967853i | \(-0.580929\pi\) |
0.967853 | + | 0.251515i | \(0.0809288\pi\) | |||||||
\(194\) | −17.8270 | −1.27991 | ||||||||
\(195\) | 5.75083 | − | 1.48172i | 0.411826 | − | 0.106108i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −17.3744 | + | 17.3744i | −1.23787 | + | 1.23787i | −0.277006 | + | 0.960868i | \(0.589342\pi\) |
−0.960868 | + | 0.277006i | \(0.910658\pi\) | |||||||
\(198\) | 25.8846 | − | 15.7248i | 1.83954 | − | 1.11751i | ||||
\(199\) | 14.4610i | 1.02511i | 0.858654 | + | 0.512555i | \(0.171301\pi\) | ||||
−0.858654 | + | 0.512555i | \(0.828699\pi\) | |||||||
\(200\) | −11.8942 | − | 0.494780i | −0.841046 | − | 0.0349863i | ||||
\(201\) | −1.01409 | − | 0.122014i | −0.0715284 | − | 0.00860624i | ||||
\(202\) | 21.0402 | + | 21.0402i | 1.48039 | + | 1.48039i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −11.1553 | − | 1.34219i | −0.781025 | − | 0.0939722i | ||||
\(205\) | 12.1707 | − | 4.74734i | 0.850036 | − | 0.331569i | ||||
\(206\) | 7.92219i | 0.551965i | ||||||||
\(207\) | −8.32496 | + | 5.05736i | −0.578625 | + | 0.351511i | ||||
\(208\) | 0.826444 | − | 0.826444i | 0.0573036 | − | 0.0573036i | ||||
\(209\) | −18.9739 | −1.31245 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −12.6498 | −0.870850 | −0.435425 | − | 0.900225i | \(-0.643402\pi\) | ||||
−0.435425 | + | 0.900225i | \(0.643402\pi\) | |||||||
\(212\) | 18.6888 | − | 18.6888i | 1.28355 | − | 1.28355i | ||||
\(213\) | 4.99370 | + | 6.35974i | 0.342163 | + | 0.435762i | ||||
\(214\) | − | 20.9222i | − | 1.43021i | ||||||
\(215\) | 5.80223 | + | 2.54592i | 0.395709 | + | 0.173630i | ||||
\(216\) | 4.34924 | − | 11.5818i | 0.295928 | − | 0.788041i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −30.0509 | − | 30.0509i | −2.03530 | − | 2.03530i | ||||
\(219\) | −0.904028 | + | 7.51359i | −0.0610886 | + | 0.507721i | ||||
\(220\) | −11.1559 | − | 28.6000i | −0.752128 | − | 1.92821i | ||||
\(221\) | − | 3.25208i | − | 0.218759i | ||||||
\(222\) | −18.2636 | + | 14.3407i | −1.22577 | + | 0.962485i | ||||
\(223\) | −14.9882 | + | 14.9882i | −1.00368 | + | 1.00368i | −0.00368996 | + | 0.999993i | \(0.501175\pi\) |
−0.999993 | + | 0.00368996i | \(0.998825\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 7.24840 | + | 13.1324i | 0.483227 | + | 0.875495i | ||||
\(226\) | −27.5841 | −1.83486 | ||||||||
\(227\) | 10.7449 | − | 10.7449i | 0.713166 | − | 0.713166i | −0.254030 | − | 0.967196i | \(-0.581756\pi\) |
0.967196 | + | 0.254030i | \(0.0817562\pi\) | |||||||
\(228\) | −17.6127 | + | 13.8296i | −1.16643 | + | 0.915888i | ||||
\(229\) | − | 11.1137i | − | 0.734412i | −0.930140 | − | 0.367206i | \(-0.880314\pi\) | ||
0.930140 | − | 0.367206i | \(-0.119686\pi\) | |||||||
\(230\) | 5.93406 | + | 15.2130i | 0.391280 | + | 1.00312i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −2.84719 | − | 2.84719i | −0.186927 | − | 0.186927i | ||||
\(233\) | −6.55142 | − | 6.55142i | −0.429198 | − | 0.429198i | 0.459157 | − | 0.888355i | \(-0.348151\pi\) |
−0.888355 | + | 0.459157i | \(0.848151\pi\) | |||||||
\(234\) | 10.0508 | + | 2.45414i | 0.657044 | + | 0.160432i | ||||
\(235\) | 10.8119 | + | 4.74408i | 0.705291 | + | 0.309469i | ||||
\(236\) | 14.3837i | 0.936300i | ||||||||
\(237\) | −7.14362 | − | 9.09777i | −0.464028 | − | 0.590964i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 24.2150 | 1.56634 | 0.783168 | − | 0.621810i | \(-0.213602\pi\) | ||||
0.783168 | + | 0.621810i | \(0.213602\pi\) | |||||||
\(240\) | 2.54227 | + | 1.50061i | 0.164103 | + | 0.0968638i | ||||
\(241\) | 10.1269 | 0.652328 | 0.326164 | − | 0.945313i | \(-0.394244\pi\) | ||||
0.326164 | + | 0.945313i | \(0.394244\pi\) | |||||||
\(242\) | 14.5487 | − | 14.5487i | 0.935228 | − | 0.935228i | ||||
\(243\) | −15.3176 | + | 2.89319i | −0.982626 | + | 0.185598i | ||||
\(244\) | − | 23.7852i | − | 1.52269i | ||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 22.5963 | + | 2.71877i | 1.44069 | + | 0.173342i | ||||
\(247\) | −4.58318 | − | 4.58318i | −0.291621 | − | 0.291621i | ||||
\(248\) | 1.78482 | + | 1.78482i | 0.113336 | + | 0.113336i | ||||
\(249\) | 26.9248 | + | 3.23957i | 1.70629 | + | 0.205299i | ||||
\(250\) | 23.7865 | − | 8.15642i | 1.50439 | − | 0.515857i | ||||
\(251\) | 21.7383i | 1.37211i | 0.727551 | + | 0.686054i | \(0.240658\pi\) | ||||
−0.727551 | + | 0.686054i | \(0.759342\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −10.3056 | + | 10.3056i | −0.647905 | + | 0.647905i | ||||
\(254\) | −19.4845 | −1.22257 | ||||||||
\(255\) | 7.95442 | − | 2.04948i | 0.498125 | − | 0.128343i | ||||
\(256\) | −10.7563 | −0.672269 | ||||||||
\(257\) | −2.25612 | + | 2.25612i | −0.140733 | + | 0.140733i | −0.773963 | − | 0.633231i | \(-0.781728\pi\) |
0.633231 | + | 0.773963i | \(0.281728\pi\) | |||||||
\(258\) | 6.81725 | + | 8.68212i | 0.424423 | + | 0.540525i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 4.21369 | − | 9.60313i | 0.261322 | − | 0.595561i | ||||
\(261\) | −1.20347 | + | 4.92875i | −0.0744928 | + | 0.305082i | ||||
\(262\) | 27.8855 | + | 27.8855i | 1.72277 | + | 1.72277i | ||||
\(263\) | −19.3562 | − | 19.3562i | −1.19356 | − | 1.19356i | −0.976062 | − | 0.217495i | \(-0.930212\pi\) |
−0.217495 | − | 0.976062i | \(-0.569788\pi\) | |||||||
\(264\) | 2.21121 | − | 18.3779i | 0.136091 | − | 1.13108i | ||||
\(265\) | −7.76380 | + | 17.6940i | −0.476927 | + | 1.08693i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −4.78651 | + | 3.75840i | −0.292930 | + | 0.230010i | ||||
\(268\) | −1.27539 | + | 1.27539i | −0.0779068 | + | 0.0779068i | ||||
\(269\) | −4.80278 | −0.292831 | −0.146415 | − | 0.989223i | \(-0.546774\pi\) | ||||
−0.146415 | + | 0.989223i | \(0.546774\pi\) | |||||||
\(270\) | 0.331389 | + | 26.1304i | 0.0201677 | + | 1.59025i | ||||
\(271\) | −6.50464 | −0.395129 | −0.197564 | − | 0.980290i | \(-0.563303\pi\) | ||||
−0.197564 | + | 0.980290i | \(0.563303\pi\) | |||||||
\(272\) | 1.14312 | − | 1.14312i | 0.0693117 | − | 0.0693117i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | − | 12.1568i | − | 0.734418i | ||||||
\(275\) | 15.1965 | + | 16.5157i | 0.916382 | + | 0.995931i | ||||
\(276\) | −2.05478 | + | 17.0777i | −0.123683 | + | 1.02796i | ||||
\(277\) | −0.866520 | − | 0.866520i | −0.0520642 | − | 0.0520642i | 0.680595 | − | 0.732660i | \(-0.261721\pi\) |
−0.732660 | + | 0.680595i | \(0.761721\pi\) | |||||||
\(278\) | 10.1440 | + | 10.1440i | 0.608398 | + | 0.608398i | ||||
\(279\) | 0.754419 | − | 3.08969i | 0.0451659 | − | 0.184975i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 12.8585i | 0.767073i | 0.923526 | + | 0.383537i | \(0.125294\pi\) | ||||
−0.923526 | + | 0.383537i | \(0.874706\pi\) | |||||||
\(282\) | 12.7033 | + | 16.1783i | 0.756470 | + | 0.963404i | ||||
\(283\) | 1.02733 | − | 1.02733i | 0.0610684 | − | 0.0610684i | −0.675913 | − | 0.736981i | \(-0.736251\pi\) |
0.736981 | + | 0.675913i | \(0.236251\pi\) | |||||||
\(284\) | 14.2788 | 0.847294 | ||||||||
\(285\) | 8.32186 | − | 14.0985i | 0.492944 | − | 0.835125i | ||||
\(286\) | 15.4801 | 0.915355 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 10.0872 | + | 16.6046i | 0.594393 | + | 0.978435i | ||||
\(289\) | 12.5018i | 0.735400i | ||||||||
\(290\) | 7.78854 | + | 3.41747i | 0.457359 | + | 0.200681i | ||||
\(291\) | 13.6303 | + | 1.63998i | 0.799020 | + | 0.0961373i | ||||
\(292\) | 9.44960 | + | 9.44960i | 0.552996 | + | 0.552996i | ||||
\(293\) | −1.33304 | − | 1.33304i | −0.0778769 | − | 0.0778769i | 0.667095 | − | 0.744972i | \(-0.267537\pi\) |
−0.744972 | + | 0.667095i | \(0.767537\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −3.82135 | − | 9.79673i | −0.222488 | − | 0.570387i | ||||
\(296\) | 14.1921i | 0.824898i | ||||||||
\(297\) | −21.2376 | + | 9.64166i | −1.23233 | + | 0.559466i | ||||
\(298\) | −17.6308 | + | 17.6308i | −1.02133 | + | 1.02133i | ||||
\(299\) | −4.97866 | −0.287923 | ||||||||
\(300\) | 26.1442 | + | 4.25450i | 1.50944 | + | 0.245634i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 16.7773 | − | 16.7773i | 0.965427 | − | 0.965427i | ||||
\(303\) | −14.1514 | − | 18.0226i | −0.812979 | − | 1.03537i | ||||
\(304\) | − | 3.22200i | − | 0.184795i | ||||||
\(305\) | 6.31907 | + | 16.2001i | 0.361829 | + | 0.927614i | ||||
\(306\) | 13.9021 | + | 3.39452i | 0.794730 | + | 0.194052i | ||||
\(307\) | −9.34919 | − | 9.34919i | −0.533586 | − | 0.533586i | 0.388051 | − | 0.921638i | \(-0.373148\pi\) |
−0.921638 | + | 0.388051i | \(0.873148\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0.728794 | − | 6.05718i | 0.0414596 | − | 0.344581i | ||||
\(310\) | −4.88241 | − | 2.14231i | −0.277302 | − | 0.121675i | ||||
\(311\) | − | 7.25488i | − | 0.411387i | −0.978616 | − | 0.205693i | \(-0.934055\pi\) | ||
0.978616 | − | 0.205693i | \(-0.0659450\pi\) | |||||||
\(312\) | 4.97334 | − | 3.90510i | 0.281560 | − | 0.221083i | ||||
\(313\) | −15.8229 | + | 15.8229i | −0.894361 | + | 0.894361i | −0.994930 | − | 0.100570i | \(-0.967934\pi\) |
0.100570 | + | 0.994930i | \(0.467934\pi\) | |||||||
\(314\) | 7.49546 | 0.422993 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −20.4263 | −1.14907 | ||||||||
\(317\) | −14.2816 | + | 14.2816i | −0.802133 | + | 0.802133i | −0.983429 | − | 0.181296i | \(-0.941971\pi\) |
0.181296 | + | 0.983429i | \(0.441971\pi\) | |||||||
\(318\) | −26.4762 | + | 20.7893i | −1.48471 | + | 1.16580i | ||||
\(319\) | 7.59114i | 0.425022i | ||||||||
\(320\) | 27.1674 | − | 10.5970i | 1.51871 | − | 0.592393i | ||||
\(321\) | −1.92472 | + | 15.9968i | −0.107427 | + | 0.892854i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −6.33935 | − | 6.33935i | −0.352731 | − | 0.352731i | ||||
\(324\) | −12.6865 | + | 24.4296i | −0.704803 | + | 1.35720i | ||||
\(325\) | −0.318651 | + | 7.66014i | −0.0176756 | + | 0.424908i | ||||
\(326\) | − | 16.0644i | − | 0.889722i | ||||||
\(327\) | 20.2119 | + | 25.7409i | 1.11772 | + | 1.42348i | ||||
\(328\) | 9.83578 | − | 9.83578i | 0.543090 | − | 0.543090i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 9.75560 | + | 37.8633i | 0.537028 | + | 2.08431i | ||||
\(331\) | 6.28178 | 0.345278 | 0.172639 | − | 0.984985i | \(-0.444771\pi\) | ||||
0.172639 | + | 0.984985i | \(0.444771\pi\) | |||||||
\(332\) | 33.8624 | − | 33.8624i | 1.85844 | − | 1.85844i | ||||
\(333\) | 15.2833 | − | 9.28452i | 0.837521 | − | 0.508789i | ||||
\(334\) | 37.8646i | 2.07186i | ||||||||
\(335\) | 0.529830 | − | 1.20750i | 0.0289477 | − | 0.0659728i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −21.9068 | − | 21.9068i | −1.19334 | − | 1.19334i | −0.976123 | − | 0.217217i | \(-0.930302\pi\) |
−0.217217 | − | 0.976123i | \(-0.569698\pi\) | |||||||
\(338\) | −16.9356 | − | 16.9356i | −0.921177 | − | 0.921177i | ||||
\(339\) | 21.0903 | + | 2.53757i | 1.14547 | + | 0.137822i | ||||
\(340\) | 5.82827 | − | 13.2828i | 0.316082 | − | 0.720363i | ||||
\(341\) | − | 4.75866i | − | 0.257696i | ||||||
\(342\) | 24.3762 | − | 14.8084i | 1.31811 | − | 0.800746i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 6.74660 | 0.363752 | ||||||||
\(345\) | −3.13758 | − | 12.1775i | −0.168921 | − | 0.655616i | ||||
\(346\) | −0.141342 | −0.00759860 | ||||||||
\(347\) | 1.93852 | − | 1.93852i | 0.104065 | − | 0.104065i | −0.653157 | − | 0.757222i | \(-0.726556\pi\) |
0.757222 | + | 0.653157i | \(0.226556\pi\) | |||||||
\(348\) | 5.53301 | + | 7.04657i | 0.296600 | + | 0.377736i | ||||
\(349\) | 21.9804i | 1.17658i | 0.808650 | + | 0.588291i | \(0.200199\pi\) | ||||
−0.808650 | + | 0.588291i | \(0.799801\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −7.45895 | − | 2.80102i | −0.398129 | − | 0.149507i | ||||
\(352\) | 20.5550 | + | 20.5550i | 1.09558 | + | 1.09558i | ||||
\(353\) | −6.44494 | − | 6.44494i | −0.343030 | − | 0.343030i | 0.514475 | − | 0.857505i | \(-0.327987\pi\) |
−0.857505 | + | 0.514475i | \(0.827987\pi\) | |||||||
\(354\) | 2.18846 | − | 18.1888i | 0.116315 | − | 0.966725i | ||||
\(355\) | −9.72530 | + | 3.79349i | −0.516166 | + | 0.201338i | ||||
\(356\) | 10.7467i | 0.569572i | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 31.6729 | − | 31.6729i | 1.67396 | − | 1.67396i | ||||
\(359\) | 18.9327 | 0.999228 | 0.499614 | − | 0.866248i | \(-0.333475\pi\) | ||||
0.499614 | + | 0.866248i | \(0.333475\pi\) | |||||||
\(360\) | 12.6859 | + | 9.70351i | 0.668604 | + | 0.511420i | ||||
\(361\) | 1.13186 | 0.0595715 | ||||||||
\(362\) | 20.8133 | − | 20.8133i | 1.09392 | − | 1.09392i | ||||
\(363\) | −12.4621 | + | 9.78532i | −0.654091 | + | 0.513596i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −8.94661 | − | 3.92561i | −0.468287 | − | 0.205476i | ||||
\(366\) | −3.61889 | + | 30.0774i | −0.189162 | + | 1.57217i | ||||
\(367\) | 1.97277 | + | 1.97277i | 0.102978 | + | 0.102978i | 0.756719 | − | 0.653741i | \(-0.226801\pi\) |
−0.653741 | + | 0.756719i | \(0.726801\pi\) | |||||||
\(368\) | −1.75002 | − | 1.75002i | −0.0912259 | − | 0.0912259i | ||||
\(369\) | −17.0267 | − | 4.15746i | −0.886374 | − | 0.216429i | ||||
\(370\) | −10.8940 | − | 27.9287i | −0.566352 | − | 1.45195i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −3.46848 | − | 4.41729i | −0.179832 | − | 0.229026i | ||||
\(373\) | −8.60835 | + | 8.60835i | −0.445723 | + | 0.445723i | −0.893930 | − | 0.448207i | \(-0.852063\pi\) |
0.448207 | + | 0.893930i | \(0.352063\pi\) | |||||||
\(374\) | 21.4116 | 1.10717 | ||||||||
\(375\) | −18.9371 | + | 4.04805i | −0.977907 | + | 0.209041i | ||||
\(376\) | 12.5716 | 0.648333 | ||||||||
\(377\) | −1.83366 | + | 1.83366i | −0.0944381 | + | 0.0944381i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 13.7261i | 0.705060i | 0.935800 | + | 0.352530i | \(0.114679\pi\) | ||||
−0.935800 | + | 0.352530i | \(0.885321\pi\) | |||||||
\(380\) | −10.5057 | − | 26.9334i | −0.538933 | − | 1.38165i | ||||
\(381\) | 14.8975 | + | 1.79246i | 0.763224 | + | 0.0918304i | ||||
\(382\) | 18.3808 | + | 18.3808i | 0.940446 | + | 0.940446i | ||||
\(383\) | 24.1060 | + | 24.1060i | 1.23176 | + | 1.23176i | 0.963288 | + | 0.268470i | \(0.0865179\pi\) |
0.268470 | + | 0.963288i | \(0.413482\pi\) | |||||||
\(384\) | 28.1663 | + | 3.38894i | 1.43736 | + | 0.172941i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 31.6538i | 1.61114i | ||||||||
\(387\) | −4.41365 | − | 7.26535i | −0.224359 | − | 0.369319i | ||||
\(388\) | 17.1423 | − | 17.1423i | 0.870270 | − | 0.870270i | ||||
\(389\) | 34.1111 | 1.72950 | 0.864751 | − | 0.502201i | \(-0.167476\pi\) | ||||
0.864751 | + | 0.502201i | \(0.167476\pi\) | |||||||
\(390\) | −6.78949 | + | 11.5025i | −0.343799 | + | 0.582450i | ||||
\(391\) | −6.88637 | −0.348259 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −18.7555 | − | 23.8861i | −0.946089 | − | 1.20489i | ||||
\(394\) | − | 55.2636i | − | 2.78414i | ||||||
\(395\) | 13.9123 | − | 5.42669i | 0.700004 | − | 0.273047i | ||||
\(396\) | −9.76967 | + | 40.0113i | −0.490944 | + | 2.01064i | ||||
\(397\) | 9.93390 | + | 9.93390i | 0.498568 | + | 0.498568i | 0.910992 | − | 0.412424i | \(-0.135318\pi\) |
−0.412424 | + | 0.910992i | \(0.635318\pi\) | |||||||
\(398\) | −22.9983 | − | 22.9983i | −1.15280 | − | 1.15280i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −2.80457 | + | 2.58056i | −0.140229 | + | 0.129028i | ||||
\(401\) | − | 17.4925i | − | 0.873532i | −0.899575 | − | 0.436766i | \(-0.856124\pi\) | ||
0.899575 | − | 0.436766i | \(-0.143876\pi\) | |||||||
\(402\) | 1.80683 | − | 1.41874i | 0.0901167 | − | 0.0707601i | ||||
\(403\) | 1.14947 | − | 1.14947i | 0.0572590 | − | 0.0572590i | ||||
\(404\) | −40.4642 | −2.01317 | ||||||||
\(405\) | 2.15047 | − | 20.0094i | 0.106858 | − | 0.994274i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 18.9194 | − | 18.9194i | 0.937799 | − | 0.937799i | ||||
\(408\) | 6.87901 | − | 5.40144i | 0.340562 | − | 0.267411i | ||||
\(409\) | 13.4499i | 0.665055i | 0.943093 | + | 0.332528i | \(0.107901\pi\) | ||||
−0.943093 | + | 0.332528i | \(0.892099\pi\) | |||||||
\(410\) | −11.8059 | + | 26.9060i | −0.583051 | + | 1.32879i | ||||
\(411\) | −1.11835 | + | 9.29488i | −0.0551642 | + | 0.458483i | ||||
\(412\) | −7.61791 | − | 7.61791i | −0.375308 | − | 0.375308i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 5.19671 | − | 21.2829i | 0.255404 | − | 1.04600i | ||||
\(415\) | −14.0674 | + | 32.0600i | −0.690539 | + | 1.57376i | ||||
\(416\) | 9.93021i | 0.486869i | ||||||||
\(417\) | −6.82276 | − | 8.68914i | −0.334112 | − | 0.425509i | ||||
\(418\) | 30.1755 | − | 30.1755i | 1.47593 | − | 1.47593i | ||||
\(419\) | 35.0036 | 1.71004 | 0.855018 | − | 0.518598i | \(-0.173546\pi\) | ||||
0.855018 | + | 0.518598i | \(0.173546\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 10.4231 | 0.507989 | 0.253995 | − | 0.967206i | \(-0.418255\pi\) | ||||
0.253995 | + | 0.967206i | \(0.418255\pi\) | |||||||
\(422\) | 20.1180 | − | 20.1180i | 0.979328 | − | 0.979328i | ||||
\(423\) | −8.22443 | − | 13.5383i | −0.399885 | − | 0.658254i | ||||
\(424\) | 20.5738i | 0.999153i | ||||||||
\(425\) | −0.440750 | + | 10.5953i | −0.0213795 | + | 0.513949i | ||||
\(426\) | −18.0562 | − | 2.17251i | −0.874827 | − | 0.105258i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 20.1186 | + | 20.1186i | 0.972471 | + | 0.972471i | ||||
\(429\) | −11.8358 | − | 1.42407i | −0.571438 | − | 0.0687548i | ||||
\(430\) | −13.2767 | + | 5.17876i | −0.640259 | + | 0.249742i | ||||
\(431\) | 15.8600i | 0.763949i | 0.924173 | + | 0.381975i | \(0.124756\pi\) | ||||
−0.924173 | + | 0.381975i | \(0.875244\pi\) | |||||||
\(432\) | −1.63728 | − | 3.60641i | −0.0787736 | − | 0.173514i | ||||
\(433\) | 25.6695 | − | 25.6695i | 1.23360 | − | 1.23360i | 0.271024 | − | 0.962572i | \(-0.412638\pi\) |
0.962572 | − | 0.271024i | \(-0.0873624\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −5.64060 | − | 3.32944i | −0.270446 | − | 0.159635i | ||||
\(436\) | 57.7934 | 2.76780 | ||||||||
\(437\) | −9.70499 | + | 9.70499i | −0.464253 | + | 0.464253i | ||||
\(438\) | −10.5117 | − | 13.3872i | −0.502268 | − | 0.639664i | ||||
\(439\) | − | 21.4533i | − | 1.02391i | −0.859012 | − | 0.511956i | \(-0.828921\pi\) | ||
0.859012 | − | 0.511956i | \(-0.171079\pi\) | |||||||
\(440\) | 21.8830 | + | 9.60186i | 1.04323 | + | 0.457751i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 5.17203 | + | 5.17203i | 0.246009 | + | 0.246009i | ||||
\(443\) | 16.2422 | + | 16.2422i | 0.771690 | + | 0.771690i | 0.978402 | − | 0.206712i | \(-0.0662764\pi\) |
−0.206712 | + | 0.978402i | \(0.566276\pi\) | |||||||
\(444\) | 3.77225 | − | 31.3521i | 0.179023 | − | 1.48790i | ||||
\(445\) | −2.85509 | − | 7.31953i | −0.135344 | − | 0.346979i | ||||
\(446\) | − | 47.6737i | − | 2.25741i | ||||||
\(447\) | 15.1022 | − | 11.8583i | 0.714308 | − | 0.560879i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 16.0964 | 0.759636 | 0.379818 | − | 0.925061i | \(-0.375987\pi\) | ||||
0.379818 | + | 0.925061i | \(0.375987\pi\) | |||||||
\(450\) | −32.4132 | − | 9.35781i | −1.52797 | − | 0.441131i | ||||
\(451\) | −26.2241 | −1.23484 | ||||||||
\(452\) | 26.5246 | − | 26.5246i | 1.24761 | − | 1.24761i | ||||
\(453\) | −14.3711 | + | 11.2843i | −0.675213 | + | 0.530181i | ||||
\(454\) | 34.1770i | 1.60400i | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 2.08235 | − | 17.3069i | 0.0975150 | − | 0.810470i | ||||
\(457\) | −12.9272 | − | 12.9272i | −0.604707 | − | 0.604707i | 0.336851 | − | 0.941558i | \(-0.390638\pi\) |
−0.941558 | + | 0.336851i | \(0.890638\pi\) | |||||||
\(458\) | 17.6749 | + | 17.6749i | 0.825894 | + | 0.825894i | ||||
\(459\) | −10.3170 | − | 3.87430i | −0.481558 | − | 0.180837i | ||||
\(460\) | −20.3349 | − | 8.92258i | −0.948118 | − | 0.416018i | ||||
\(461\) | − | 11.0171i | − | 0.513119i | −0.966528 | − | 0.256560i | \(-0.917411\pi\) | ||
0.966528 | − | 0.256560i | \(-0.0825890\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −16.6150 | + | 16.6150i | −0.772166 | + | 0.772166i | −0.978485 | − | 0.206319i | \(-0.933852\pi\) |
0.206319 | + | 0.978485i | \(0.433852\pi\) | |||||||
\(464\) | −1.28907 | −0.0598437 | ||||||||
\(465\) | 3.53593 | + | 2.08713i | 0.163975 | + | 0.0967884i | ||||
\(466\) | 20.8384 | 0.965321 | ||||||||
\(467\) | −14.3583 | + | 14.3583i | −0.664425 | + | 0.664425i | −0.956420 | − | 0.291995i | \(-0.905681\pi\) |
0.291995 | + | 0.956420i | \(0.405681\pi\) | |||||||
\(468\) | −12.0247 | + | 7.30493i | −0.555842 | + | 0.337670i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −24.7399 | + | 9.65013i | −1.14116 | + | 0.445127i | ||||
\(471\) | −5.73091 | − | 0.689538i | −0.264066 | − | 0.0317722i | ||||
\(472\) | −7.91727 | − | 7.91727i | −0.364422 | − | 0.364422i | ||||
\(473\) | −8.99385 | − | 8.99385i | −0.413538 | − | 0.413538i | ||||
\(474\) | 25.8299 | + | 3.10783i | 1.18641 | + | 0.142747i | ||||
\(475\) | 14.3109 | + | 15.5532i | 0.656629 | + | 0.713630i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 22.1558 | − | 13.4595i | 1.01444 | − | 0.616267i | ||||
\(478\) | −38.5109 | + | 38.5109i | −1.76145 | + | 1.76145i | ||||
\(479\) | 5.52000 | 0.252215 | 0.126108 | − | 0.992017i | \(-0.459752\pi\) | ||||
0.126108 | + | 0.992017i | \(0.459752\pi\) | |||||||
\(480\) | −24.2887 | + | 6.25807i | −1.10862 | + | 0.285640i | ||||
\(481\) | 9.14004 | 0.416750 | ||||||||
\(482\) | −16.1055 | + | 16.1055i | −0.733585 | + | 0.733585i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 27.9799i | 1.27181i | ||||||||
\(485\) | −7.12138 | + | 16.2299i | −0.323365 | + | 0.736960i | ||||
\(486\) | 19.7595 | − | 28.9620i | 0.896309 | − | 1.31374i | ||||
\(487\) | 6.05017 | + | 6.05017i | 0.274159 | + | 0.274159i | 0.830772 | − | 0.556613i | \(-0.187899\pi\) |
−0.556613 | + | 0.830772i | \(0.687899\pi\) | |||||||
\(488\) | 13.0922 | + | 13.0922i | 0.592655 | + | 0.592655i | ||||
\(489\) | −1.47782 | + | 12.2825i | −0.0668295 | + | 0.555436i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 6.00183i | 0.270859i | 0.990787 | + | 0.135429i | \(0.0432414\pi\) | ||||
−0.990787 | + | 0.135429i | \(0.956759\pi\) | |||||||
\(492\) | −24.3428 | + | 19.1141i | −1.09746 | + | 0.861731i | ||||
\(493\) | −2.53627 | + | 2.53627i | −0.114228 | + | 0.114228i | ||||
\(494\) | 14.5779 | 0.655893 | ||||||||
\(495\) | −3.97577 | − | 29.8472i | −0.178698 | − | 1.34153i | ||||
\(496\) | 0.808083 | 0.0362840 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −47.9726 | + | 37.6684i | −2.14971 | + | 1.68796i | ||||
\(499\) | − | 21.1925i | − | 0.948708i | −0.880334 | − | 0.474354i | \(-0.842682\pi\) | ||
0.880334 | − | 0.474354i | \(-0.157318\pi\) | |||||||
\(500\) | −15.0297 | + | 30.7160i | −0.672150 | + | 1.37366i | ||||
\(501\) | 3.48332 | − | 28.9507i | 0.155623 | − | 1.29342i | ||||
\(502\) | −34.5720 | − | 34.5720i | −1.54302 | − | 1.54302i | ||||
\(503\) | 20.3830 | + | 20.3830i | 0.908834 | + | 0.908834i | 0.996178 | − | 0.0873440i | \(-0.0278379\pi\) |
−0.0873440 | + | 0.996178i | \(0.527838\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 27.5601 | − | 10.7502i | 1.22641 | − | 0.478379i | ||||
\(506\) | − | 32.7794i | − | 1.45722i | ||||||
\(507\) | 11.3907 | + | 14.5067i | 0.505880 | + | 0.644265i | ||||
\(508\) | 18.7361 | − | 18.7361i | 0.831282 | − | 0.831282i | ||||
\(509\) | 3.44064 | 0.152504 | 0.0762518 | − | 0.997089i | \(-0.475705\pi\) | ||||
0.0762518 | + | 0.997089i | \(0.475705\pi\) | |||||||
\(510\) | −9.39107 | + | 15.9099i | −0.415843 | + | 0.704504i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −6.05700 | + | 6.05700i | −0.267684 | + | 0.267684i | ||||
\(513\) | −19.9999 | + | 9.07979i | −0.883019 | + | 0.400882i | ||||
\(514\) | − | 7.17614i | − | 0.316526i | ||||||
\(515\) | 7.21242 | + | 3.16468i | 0.317817 | + | 0.139453i | ||||
\(516\) | −14.9041 | − | 1.79324i | −0.656115 | − | 0.0789432i | ||||
\(517\) | −16.7592 | − | 16.7592i | −0.737068 | − | 0.737068i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0.108068 | + | 0.0130026i | 0.00474366 | + | 0.000570752i | ||||
\(520\) | 2.96653 | + | 7.60523i | 0.130091 | + | 0.333511i | ||||
\(521\) | 12.0208i | 0.526641i | 0.964708 | + | 0.263320i | \(0.0848177\pi\) | ||||
−0.964708 | + | 0.263320i | \(0.915182\pi\) | |||||||
\(522\) | −5.92460 | − | 9.75253i | −0.259313 | − | 0.426857i | ||||
\(523\) | 12.9009 | − | 12.9009i | 0.564116 | − | 0.564116i | −0.366358 | − | 0.930474i | \(-0.619395\pi\) |
0.930474 | + | 0.366358i | \(0.119395\pi\) | |||||||
\(524\) | −53.6289 | −2.34279 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 61.5673 | 2.68446 | ||||||||
\(527\) | 1.58992 | − | 1.58992i | 0.0692578 | − | 0.0692578i | ||||
\(528\) | −3.65976 | − | 4.66089i | −0.159270 | − | 0.202839i | ||||
\(529\) | − | 12.4576i | − | 0.541633i | ||||||
\(530\) | −15.7927 | − | 40.4874i | −0.685990 | − | 1.75866i | ||||
\(531\) | −3.34653 | + | 13.7056i | −0.145227 | + | 0.594770i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −6.33448 | − | 6.33448i | −0.274377 | − | 0.274377i | ||||
\(534\) | 1.63509 | − | 13.5896i | 0.0707572 | − | 0.588080i | ||||
\(535\) | −19.0477 | − | 8.35782i | −0.823506 | − | 0.361340i | ||||
\(536\) | − | 1.40403i | − | 0.0606450i | ||||||
\(537\) | −27.1303 | + | 21.3029i | −1.17076 | + | 0.919286i | ||||
\(538\) | 7.63822 | − | 7.63822i | 0.329307 | − | 0.329307i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −25.4455 | − | 24.8082i | −1.09500 | − | 1.06757i | ||||
\(541\) | 27.5006 | 1.18234 | 0.591172 | − | 0.806546i | \(-0.298666\pi\) | ||||
0.591172 | + | 0.806546i | \(0.298666\pi\) | |||||||
\(542\) | 10.3448 | − | 10.3448i | 0.444348 | − | 0.444348i | ||||
\(543\) | −17.8282 | + | 13.9988i | −0.765083 | + | 0.600747i | ||||
\(544\) | 13.7352i | 0.588893i | ||||||||
\(545\) | −39.3630 | + | 15.3541i | −1.68612 | + | 0.657697i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 28.4753 | + | 28.4753i | 1.21751 | + | 1.21751i | 0.968500 | + | 0.249014i | \(0.0801066\pi\) |
0.249014 | + | 0.968500i | \(0.419893\pi\) | |||||||
\(548\) | 11.6899 | + | 11.6899i | 0.499366 | + | 0.499366i | ||||
\(549\) | 5.53389 | − | 22.6638i | 0.236181 | − | 0.967268i | ||||
\(550\) | −50.4342 | − | 2.09799i | −2.15052 | − | 0.0894585i | ||||
\(551\) | 7.14876i | 0.304547i | ||||||||
\(552\) | −8.26914 | − | 10.5312i | −0.351958 | − | 0.448237i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 2.75618 | 0.117099 | ||||||||
\(555\) | 5.76010 | + | 22.3560i | 0.244503 | + | 0.948961i | ||||
\(556\) | −19.5088 | −0.827358 | ||||||||
\(557\) | 4.07494 | − | 4.07494i | 0.172661 | − | 0.172661i | −0.615487 | − | 0.788147i | \(-0.711040\pi\) |
0.788147 | + | 0.615487i | \(0.211040\pi\) | |||||||
\(558\) | 3.71396 | + | 6.11358i | 0.157224 | + | 0.258808i | ||||
\(559\) | − | 4.34497i | − | 0.183773i | ||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −16.3710 | − | 1.96974i | −0.691184 | − | 0.0831626i | ||||
\(562\) | −20.4498 | − | 20.4498i | −0.862624 | − | 0.862624i | ||||
\(563\) | 9.63834 | + | 9.63834i | 0.406208 | + | 0.406208i | 0.880414 | − | 0.474206i | \(-0.157265\pi\) |
−0.474206 | + | 0.880414i | \(0.657265\pi\) | |||||||
\(564\) | −27.7723 | − | 3.34154i | −1.16943 | − | 0.140704i | ||||
\(565\) | −11.0190 | + | 25.1127i | −0.463574 | + | 1.05650i | ||||
\(566\) | 3.26768i | 0.137351i | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −7.85955 | + | 7.85955i | −0.329779 | + | 0.329779i | ||||
\(569\) | −15.4008 | −0.645634 | −0.322817 | − | 0.946461i | \(-0.604630\pi\) | ||||
−0.322817 | + | 0.946461i | \(0.604630\pi\) | |||||||
\(570\) | 9.18709 | + | 35.6568i | 0.384805 | + | 1.49350i | ||||
\(571\) | −39.8953 | −1.66956 | −0.834782 | − | 0.550580i | \(-0.814407\pi\) | ||||
−0.834782 | + | 0.550580i | \(0.814407\pi\) | |||||||
\(572\) | −14.8855 | + | 14.8855i | −0.622394 | + | 0.622394i | ||||
\(573\) | −12.3628 | − | 15.7446i | −0.516462 | − | 0.657741i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 16.2205 | + | 0.674750i | 0.676443 | + | 0.0281390i | ||||
\(576\) | −38.0071 | − | 9.28030i | −1.58363 | − | 0.386679i | ||||
\(577\) | −26.4522 | − | 26.4522i | −1.10122 | − | 1.10122i | −0.994264 | − | 0.106957i | \(-0.965889\pi\) |
−0.106957 | − | 0.994264i | \(-0.534111\pi\) | |||||||
\(578\) | −19.8825 | − | 19.8825i | −0.827004 | − | 0.827004i | ||||
\(579\) | 2.91196 | − | 24.2020i | 0.121017 | − | 1.00580i | ||||
\(580\) | −10.7756 | + | 4.20318i | −0.447433 | + | 0.174528i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | −24.2854 | + | 19.0690i | −1.00666 | + | 0.790437i | ||||
\(583\) | 27.4268 | − | 27.4268i | 1.13590 | − | 1.13590i | ||||
\(584\) | −10.4027 | −0.430469 | ||||||||
\(585\) | 6.24929 | − | 8.17001i | 0.258376 | − | 0.337788i | ||||
\(586\) | 4.24006 | 0.175155 | ||||||||
\(587\) | −6.77064 | + | 6.77064i | −0.279454 | + | 0.279454i | −0.832891 | − | 0.553437i | \(-0.813316\pi\) |
0.553437 | + | 0.832891i | \(0.313316\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | − | 4.48135i | − | 0.184651i | ||||||
\(590\) | 21.6578 | + | 9.50308i | 0.891639 | + | 0.391236i | ||||
\(591\) | −5.08392 | + | 42.2537i | −0.209125 | + | 1.73808i | ||||
\(592\) | 3.21276 | + | 3.21276i | 0.132043 | + | 0.132043i | ||||
\(593\) | −7.40913 | − | 7.40913i | −0.304256 | − | 0.304256i | 0.538420 | − | 0.842677i | \(-0.319021\pi\) |
−0.842677 | + | 0.538420i | \(0.819021\pi\) | |||||||
\(594\) | 18.4418 | − | 49.1095i | 0.756677 | − | 2.01499i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | − | 33.9073i | − | 1.38890i | ||||||
\(597\) | 15.4685 | + | 19.6999i | 0.633082 | + | 0.806262i | ||||
\(598\) | 7.91794 | − | 7.91794i | 0.323789 | − | 0.323789i | ||||
\(599\) | 18.0292 | 0.736653 | 0.368327 | − | 0.929696i | \(-0.379931\pi\) | ||||
0.368327 | + | 0.929696i | \(0.379931\pi\) | |||||||
\(600\) | −16.7325 | + | 12.0488i | −0.683100 | + | 0.491891i | ||||
\(601\) | 10.2303 | 0.417304 | 0.208652 | − | 0.977990i | \(-0.433092\pi\) | ||||
0.208652 | + | 0.977990i | \(0.433092\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −1.51199 | + | 0.918525i | −0.0615730 | + | 0.0374052i | ||||
\(604\) | 32.2659i | 1.31288i | ||||||||
\(605\) | −7.43348 | − | 19.0571i | −0.302214 | − | 0.774780i | ||||
\(606\) | 51.1688 | + | 6.15658i | 2.07859 | + | 0.250094i | ||||
\(607\) | 3.94373 | + | 3.94373i | 0.160071 | + | 0.160071i | 0.782598 | − | 0.622527i | \(-0.213894\pi\) |
−0.622527 | + | 0.782598i | \(0.713894\pi\) | |||||||
\(608\) | 19.3571 | + | 19.3571i | 0.785035 | + | 0.785035i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −35.8139 | − | 15.7145i | −1.45006 | − | 0.636262i | ||||
\(611\) | − | 8.09644i | − | 0.327547i | ||||||
\(612\) | −16.6323 | + | 10.1040i | −0.672321 | + | 0.408430i | ||||
\(613\) | −4.59296 | + | 4.59296i | −0.185508 | + | 0.185508i | −0.793751 | − | 0.608243i | \(-0.791875\pi\) |
0.608243 | + | 0.793751i | \(0.291875\pi\) | |||||||
\(614\) | 29.7374 | 1.20010 | ||||||||
\(615\) | 11.5018 | − | 19.4858i | 0.463796 | − | 0.785744i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −14.3669 | + | 14.3669i | −0.578389 | + | 0.578389i | −0.934459 | − | 0.356070i | \(-0.884116\pi\) |
0.356070 | + | 0.934459i | \(0.384116\pi\) | |||||||
\(618\) | 8.47412 | + | 10.7922i | 0.340879 | + | 0.434127i | ||||
\(619\) | − | 33.6148i | − | 1.35109i | −0.737318 | − | 0.675546i | \(-0.763908\pi\) | ||
0.737318 | − | 0.675546i | \(-0.236092\pi\) | |||||||
\(620\) | 6.75492 | − | 2.63485i | 0.271284 | − | 0.105818i | ||||
\(621\) | −5.93122 | + | 15.7945i | −0.238012 | + | 0.633812i | ||||
\(622\) | 11.5380 | + | 11.5380i | 0.462631 | + | 0.462631i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 0.241826 | − | 2.00987i | 0.00968078 | − | 0.0804592i | ||||
\(625\) | 2.07633 | − | 24.9136i | 0.0830533 | − | 0.996545i | ||||
\(626\) | − | 50.3285i | − | 2.01153i | ||||||
\(627\) | −25.8477 | + | 20.2958i | −1.03226 | + | 0.810535i | ||||
\(628\) | −7.20758 | + | 7.20758i | −0.287614 | + | 0.287614i | ||||
\(629\) | 12.6423 | 0.504081 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 5.20858 | 0.207350 | 0.103675 | − | 0.994611i | \(-0.466940\pi\) | ||||
0.103675 | + | 0.994611i | \(0.466940\pi\) | |||||||
\(632\) | 11.2433 | − | 11.2433i | 0.447234 | − | 0.447234i | ||||
\(633\) | −17.2326 | + | 13.5311i | −0.684935 | + | 0.537815i | ||||
\(634\) | − | 45.4261i | − | 1.80410i | ||||||
\(635\) | −7.78349 | + | 17.7388i | −0.308878 | + | 0.703944i | ||||
\(636\) | 5.46851 | − | 45.4501i | 0.216841 | − | 1.80221i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −12.0728 | − | 12.0728i | −0.477965 | − | 0.477965i | ||||
\(639\) | 13.6056 | + | 3.32213i | 0.538231 | + | 0.131421i | ||||
\(640\) | −14.7160 | + | 33.5383i | −0.581701 | + | 1.32572i | ||||
\(641\) | 33.2591i | 1.31366i | 0.754041 | + | 0.656828i | \(0.228102\pi\) | ||||
−0.754041 | + | 0.656828i | \(0.771898\pi\) | |||||||
\(642\) | −22.3799 | − | 28.5019i | −0.883263 | − | 1.12488i | ||||
\(643\) | 6.90737 | − | 6.90737i | 0.272400 | − | 0.272400i | −0.557666 | − | 0.830066i | \(-0.688303\pi\) |
0.830066 | + | 0.557666i | \(0.188303\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 10.6276 | − | 2.73822i | 0.418460 | − | 0.107817i | ||||
\(646\) | 20.1639 | 0.793337 | ||||||||
\(647\) | −30.3135 | + | 30.3135i | −1.19175 | + | 1.19175i | −0.215172 | + | 0.976576i | \(0.569031\pi\) |
−0.976576 | + | 0.215172i | \(0.930969\pi\) | |||||||
\(648\) | −6.46380 | − | 20.4299i | −0.253922 | − | 0.802562i | ||||
\(649\) | 21.1089i | 0.828598i | ||||||||
\(650\) | −11.6757 | − | 12.6893i | −0.457959 | − | 0.497714i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 15.4474 | + | 15.4474i | 0.604965 | + | 0.604965i | ||||
\(653\) | 1.56386 | + | 1.56386i | 0.0611985 | + | 0.0611985i | 0.737044 | − | 0.675845i | \(-0.236221\pi\) |
−0.675845 | + | 0.737044i | \(0.736221\pi\) | |||||||
\(654\) | −73.0822 | − | 8.79318i | −2.85774 | − | 0.343841i | ||||
\(655\) | 36.5266 | − | 14.2477i | 1.42721 | − | 0.556704i | ||||
\(656\) | − | 4.45318i | − | 0.173868i | ||||||
\(657\) | 6.80552 | + | 11.2026i | 0.265509 | + | 0.437056i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −3.05561 | −0.119030 | −0.0595149 | − | 0.998227i | \(-0.518955\pi\) | ||||
−0.0595149 | + | 0.998227i | \(0.518955\pi\) | |||||||
\(660\) | −45.7900 | − | 27.0282i | −1.78237 | − | 1.05207i | ||||
\(661\) | 25.3786 | 0.987113 | 0.493557 | − | 0.869714i | \(-0.335697\pi\) | ||||
0.493557 | + | 0.869714i | \(0.335697\pi\) | |||||||
\(662\) | −9.99039 | + | 9.99039i | −0.388287 | + | 0.388287i | ||||
\(663\) | −3.47866 | − | 4.43025i | −0.135100 | − | 0.172057i | ||||
\(664\) | 37.2780i | 1.44667i | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −9.54035 | + | 39.0721i | −0.369681 | + | 1.51401i | ||||
\(667\) | 3.88281 | + | 3.88281i | 0.150343 | + | 0.150343i | ||||
\(668\) | −36.4104 | − | 36.4104i | −1.40876 | − | 1.40876i | ||||
\(669\) | −4.38569 | + | 36.4505i | −0.169561 | + | 1.40926i | ||||
\(670\) | 1.07775 | + | 2.76301i | 0.0416371 | + | 0.106744i | ||||
\(671\) | − | 34.9062i | − | 1.34754i | ||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 20.5391 | − | 20.5391i | 0.791722 | − | 0.791722i | −0.190052 | − | 0.981774i | \(-0.560866\pi\) |
0.981774 | + | 0.190052i | \(0.0608656\pi\) | |||||||
\(674\) | 69.6801 | 2.68398 | ||||||||
\(675\) | 23.9217 | + | 10.1366i | 0.920747 | + | 0.390160i | ||||
\(676\) | 32.5703 | 1.25271 | ||||||||
\(677\) | −1.77450 | + | 1.77450i | −0.0681996 | + | 0.0681996i | −0.740384 | − | 0.672184i | \(-0.765356\pi\) |
0.672184 | + | 0.740384i | \(0.265356\pi\) | |||||||
\(678\) | −37.5772 | + | 29.5058i | −1.44314 | + | 1.13316i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 4.10323 | + | 10.5194i | 0.157352 | + | 0.403400i | ||||
\(681\) | 3.14407 | − | 26.1311i | 0.120481 | − | 1.00135i | ||||
\(682\) | 7.56806 | + | 7.56806i | 0.289796 | + | 0.289796i | ||||
\(683\) | 4.87608 | + | 4.87608i | 0.186578 | + | 0.186578i | 0.794215 | − | 0.607637i | \(-0.207882\pi\) |
−0.607637 | + | 0.794215i | \(0.707882\pi\) | |||||||
\(684\) | −9.20034 | + | 37.6796i | −0.351784 | + | 1.44072i | ||||
\(685\) | −11.0676 | − | 4.85628i | −0.422872 | − | 0.185549i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −11.8880 | − | 15.1399i | −0.453554 | − | 0.577624i | ||||
\(688\) | 1.52727 | − | 1.52727i | 0.0582267 | − | 0.0582267i | ||||
\(689\) | 13.2500 | 0.504786 | ||||||||
\(690\) | 24.3568 | + | 14.3769i | 0.927246 | + | 0.547320i | ||||
\(691\) | 45.4219 | 1.72793 | 0.863965 | − | 0.503551i | \(-0.167973\pi\) | ||||
0.863965 | + | 0.503551i | \(0.167973\pi\) | |||||||
\(692\) | 0.135914 | − | 0.135914i | 0.00516666 | − | 0.00516666i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 6.16593i | 0.234056i | ||||||||
\(695\) | 13.2874 | − | 5.18295i | 0.504021 | − | 0.196601i | ||||
\(696\) | −6.92421 | − | 0.833115i | −0.262462 | − | 0.0315791i | ||||
\(697\) | −8.76171 | − | 8.76171i | −0.331873 | − | 0.331873i | ||||
\(698\) | −34.9570 | − | 34.9570i | −1.32314 | − | 1.32314i | ||||
\(699\) | −15.9327 | − | 1.91701i | −0.602631 | − | 0.0725080i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − | 39.7345i | − | 1.50075i | −0.661011 | − | 0.750377i | \(-0.729872\pi\) | ||
0.661011 | − | 0.750377i | \(-0.270128\pi\) | |||||||
\(702\) | 16.3172 | − | 7.40786i | 0.615853 | − | 0.279592i | ||||
\(703\) | 17.8168 | − | 17.8168i | 0.671975 | − | 0.671975i | ||||
\(704\) | −58.5375 | −2.20621 | ||||||||
\(705\) | 19.8034 | − | 5.10242i | 0.745841 | − | 0.192168i | ||||
\(706\) | 20.4997 | 0.771518 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 15.3858 | + | 19.5946i | 0.578235 | + | 0.736412i | ||||
\(709\) | 38.4985i | 1.44584i | 0.690931 | + | 0.722921i | \(0.257201\pi\) | ||||
−0.690931 | + | 0.722921i | \(0.742799\pi\) | |||||||
\(710\) | 9.43380 | − | 21.5000i | 0.354044 | − | 0.806879i | ||||
\(711\) | −19.4632 | − | 4.75239i | −0.729928 | − | 0.178229i | ||||
\(712\) | −5.91531 | − | 5.91531i | −0.221686 | − | 0.221686i | ||||
\(713\) | −2.43402 | − | 2.43402i | −0.0911549 | − | 0.0911549i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 6.18383 | − | 14.0932i | 0.231262 | − | 0.527054i | ||||
\(716\) | 60.9128i | 2.27642i | ||||||||
\(717\) | 32.9876 | − | 25.9020i | 1.23194 | − | 0.967329i | ||||
\(718\) | −30.1100 | + | 30.1100i | −1.12370 | + | 1.12370i | ||||
\(719\) | 17.0502 | 0.635864 | 0.317932 | − | 0.948113i | \(-0.397012\pi\) | ||||
0.317932 | + | 0.948113i | \(0.397012\pi\) | |||||||
\(720\) | 5.06843 | − | 0.675138i | 0.188889 | − | 0.0251609i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −1.80008 | + | 1.80008i | −0.0669920 | + | 0.0669920i | ||||
\(723\) | 13.7956 | − | 10.8324i | 0.513064 | − | 0.402861i | ||||
\(724\) | 40.0279i | 1.48762i | ||||||||
\(725\) | 6.22259 | − | 5.72556i | 0.231101 | − | 0.212642i | ||||
\(726\) | 4.25710 | − | 35.3818i | 0.157996 | − | 1.31314i | ||||
\(727\) | −2.20359 | − | 2.20359i | −0.0817265 | − | 0.0817265i | 0.665062 | − | 0.746788i | \(-0.268405\pi\) |
−0.746788 | + | 0.665062i | \(0.768405\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −17.7721 | + | 20.3261i | −0.658227 | + | 0.752820i | ||||
\(730\) | 20.4717 | − | 7.98526i | 0.757690 | − | 0.295548i | ||||
\(731\) | − | 6.00986i | − | 0.222283i | ||||||
\(732\) | −25.4423 | − | 32.4021i | −0.940376 | − | 1.19762i | ||||
\(733\) | 15.6639 | − | 15.6639i | 0.578558 | − | 0.578558i | −0.355948 | − | 0.934506i | \(-0.615842\pi\) |
0.934506 | + | 0.355948i | \(0.115842\pi\) | |||||||
\(734\) | −6.27489 | −0.231610 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 21.0275 | 0.775083 | ||||||||
\(737\) | −1.87171 | + | 1.87171i | −0.0689452 | + | 0.0689452i | ||||
\(738\) | 33.6907 | − | 20.4669i | 1.24017 | − | 0.753397i | ||||
\(739\) | 32.3161i | 1.18877i | 0.804182 | + | 0.594384i | \(0.202604\pi\) | ||||
−0.804182 | + | 0.594384i | \(0.797396\pi\) | |||||||
\(740\) | 37.3316 | + | 16.3805i | 1.37234 | + | 0.602158i | ||||
\(741\) | −11.1461 | − | 1.34108i | −0.409461 | − | 0.0492659i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 19.2303 | + | 19.2303i | 0.705491 | + | 0.705491i | 0.965584 | − | 0.260093i | \(-0.0837531\pi\) |
−0.260093 | + | 0.965584i | \(0.583753\pi\) | |||||||
\(744\) | 4.34059 | + | 0.522256i | 0.159134 | + | 0.0191468i | ||||
\(745\) | 9.00823 | + | 23.0942i | 0.330036 | + | 0.846107i | ||||
\(746\) | − | 27.3810i | − | 1.00249i | ||||||
\(747\) | 40.1444 | − | 24.3874i | 1.46881 | − | 0.892290i | ||||
\(748\) | −20.5893 | + | 20.5893i | −0.752818 | + | 0.752818i | ||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 23.6791 | − | 36.5550i | 0.864640 | − | 1.33480i | ||||
\(751\) | −15.1454 | −0.552665 | −0.276332 | − | 0.961062i | \(-0.589119\pi\) | ||||
−0.276332 | + | 0.961062i | \(0.589119\pi\) | |||||||
\(752\) | 2.84593 | − | 2.84593i | 0.103780 | − | 0.103780i | ||||
\(753\) | 23.2528 | + | 29.6136i | 0.847378 | + | 1.07918i | ||||
\(754\) | − | 5.83240i | − | 0.212404i | ||||||
\(755\) | −8.57215 | − | 21.9763i | −0.311973 | − | 0.799798i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −14.0801 | − | 14.0801i | −0.511751 | − | 0.511751i | 0.403312 | − | 0.915063i | \(-0.367859\pi\) |
−0.915063 | + | 0.403312i | \(0.867859\pi\) | |||||||
\(758\) | −21.8296 | − | 21.8296i | −0.792886 | − | 0.792886i | ||||
\(759\) | −3.01551 | + | 25.0626i | −0.109456 | + | 0.909714i | ||||
\(760\) | 20.6077 | + | 9.04231i | 0.747521 | + | 0.327999i | ||||
\(761\) | − | 6.03335i | − | 0.218709i | −0.994003 | − | 0.109354i | \(-0.965122\pi\) | ||
0.994003 | − | 0.109354i | \(-0.0348784\pi\) | |||||||
\(762\) | −26.5433 | + | 20.8420i | −0.961564 | + | 0.755026i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −35.3498 | −1.27891 | ||||||||
\(765\) | 8.64388 | − | 11.3006i | 0.312520 | − | 0.408573i | ||||
\(766\) | −76.6751 | −2.77038 | ||||||||
\(767\) | −5.09891 | + | 5.09891i | −0.184111 | + | 0.184111i | ||||
\(768\) | −14.6531 | + | 11.5057i | −0.528748 | + | 0.415176i | ||||
\(769\) | − | 1.18821i | − | 0.0428478i | −0.999770 | − | 0.0214239i | \(-0.993180\pi\) | ||
0.999770 | − | 0.0214239i | \(-0.00681996\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −0.660162 | + | 5.48676i | −0.0237752 | + | 0.197601i | ||||
\(772\) | −30.4381 | − | 30.4381i | −1.09549 | − | 1.09549i | ||||
\(773\) | −25.7972 | − | 25.7972i | −0.927861 | − | 0.927861i | 0.0697062 | − | 0.997568i | \(-0.477794\pi\) |
−0.997568 | + | 0.0697062i | \(0.977794\pi\) | |||||||
\(774\) | 18.5740 | + | 4.53527i | 0.667629 | + | 0.163017i | ||||
\(775\) | −3.90076 | + | 3.58919i | −0.140119 | + | 0.128927i | ||||
\(776\) | 18.8714i | 0.677444i | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −54.2495 | + | 54.2495i | −1.94494 | + | 1.94494i | ||||
\(779\) | −24.6958 | −0.884820 | ||||||||
\(780\) | −4.53196 | − | 17.5894i | −0.162270 | − | 0.629802i | ||||
\(781\) | 20.9550 | 0.749830 | ||||||||
\(782\) | 10.9519 | − | 10.9519i | 0.391639 | − | 0.391639i | ||||
\(783\) | 3.63268 | + | 8.00165i | 0.129821 | + | 0.285956i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 2.99422 | − | 6.82393i | 0.106868 | − | 0.243556i | ||||
\(786\) | 67.8161 | + | 8.15957i | 2.41892 | + | 0.291042i | ||||
\(787\) | 34.6071 | + | 34.6071i | 1.23361 | + | 1.23361i | 0.962567 | + | 0.271045i | \(0.0873692\pi\) |
0.271045 | + | 0.962567i | \(0.412631\pi\) | |||||||
\(788\) | 53.1410 | + | 53.1410i | 1.89307 | + | 1.89307i | ||||
\(789\) | −47.0734 | − | 5.66382i | −1.67586 | − | 0.201637i | ||||
\(790\) | −13.4953 | + | 30.7563i | −0.480141 | + | 1.09426i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | −16.6460 | − | 27.4011i | −0.591489 | − | 0.973655i | ||||
\(793\) | 8.43168 | − | 8.43168i | 0.299418 | − | 0.299418i | ||||
\(794\) | −31.5973 | −1.12134 | ||||||||
\(795\) | 8.35023 | + | 32.4088i | 0.296152 | + | 1.14942i | ||||
\(796\) | 44.2301 | 1.56769 | ||||||||
\(797\) | −22.7608 | + | 22.7608i | −0.806231 | + | 0.806231i | −0.984061 | − | 0.177831i | \(-0.943092\pi\) |
0.177831 | + | 0.984061i | \(0.443092\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | − | 11.1988i | − | 0.396185i | ||||||
\(800\) | 1.34583 | − | 32.3527i | 0.0475821 | − | 1.14384i | ||||
\(801\) | −2.50033 | + | 10.2400i | −0.0883447 | + | 0.361812i | ||||
\(802\) | 27.8196 | + | 27.8196i | 0.982343 | + | 0.982343i | ||||
\(803\) | 13.8678 | + | 13.8678i | 0.489385 | + | 0.489385i | ||||
\(804\) | −0.373192 | + | 3.10168i | −0.0131614 | + | 0.109388i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 3.65616i | 0.128783i | ||||||||
\(807\) | −6.54273 | + | 5.13739i | −0.230315 | + | 0.180845i | ||||
\(808\) | 22.2729 | − | 22.2729i | 0.783556 | − | 0.783556i | ||||
\(809\) | −36.4476 | −1.28143 | −0.640714 | − | 0.767779i | \(-0.721362\pi\) | ||||
−0.640714 | + | 0.767779i | \(0.721362\pi\) | |||||||
\(810\) | 28.4024 | + | 35.2425i | 0.997958 | + | 1.23829i | ||||
\(811\) | 44.6773 | 1.56883 | 0.784416 | − | 0.620236i | \(-0.212963\pi\) | ||||
0.784416 | + | 0.620236i | \(0.212963\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −8.86114 | + | 6.95782i | −0.310774 | + | 0.244021i | ||||
\(814\) | 60.1778i | 2.10923i | ||||||||
\(815\) | −14.6251 | − | 6.41724i | −0.512295 | − | 0.224786i | ||||
\(816\) | 0.334488 | − | 2.78001i | 0.0117094 | − | 0.0973197i | ||||
\(817\) | −8.46973 | − | 8.46973i | −0.296318 | − | 0.296318i | ||||
\(818\) | −21.3904 | − | 21.3904i | −0.747898 | − | 0.747898i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −14.5201 | − | 37.2250i | −0.507066 | − | 1.29995i | ||||
\(821\) | 17.4918i | 0.610469i | 0.952277 | + | 0.305235i | \(0.0987348\pi\) | ||||
−0.952277 | + | 0.305235i | \(0.901265\pi\) | |||||||
\(822\) | −13.0037 | − | 16.5609i | −0.453558 | − | 0.577629i | ||||
\(823\) | 15.0615 | − | 15.0615i | 0.525011 | − | 0.525011i | −0.394070 | − | 0.919081i | \(-0.628933\pi\) |
0.919081 | + | 0.394070i | \(0.128933\pi\) | |||||||
\(824\) | 8.38630 | 0.292151 | ||||||||
\(825\) | 38.3681 | + | 6.24373i | 1.33581 | + | 0.217379i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −2.51526 | + | 2.51526i | −0.0874643 | + | 0.0874643i | −0.749485 | − | 0.662021i | \(-0.769699\pi\) |
0.662021 | + | 0.749485i | \(0.269699\pi\) | |||||||
\(828\) | 15.4684 | + | 25.4626i | 0.537563 | + | 0.884887i | ||||
\(829\) | 53.8447i | 1.87011i | 0.354509 | + | 0.935053i | \(0.384648\pi\) | ||||
−0.354509 | + | 0.935053i | \(0.615352\pi\) | |||||||
\(830\) | −28.6150 | − | 73.3597i | −0.993241 | − | 2.54635i | ||||
\(831\) | −2.10733 | − | 0.253552i | −0.0731026 | − | 0.00879564i | ||||
\(832\) | −14.1399 | − | 14.1399i | −0.490212 | − | 0.490212i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 24.6697 | + | 2.96824i | 0.854243 | + | 0.102782i | ||||
\(835\) | 34.4723 | + | 15.1258i | 1.19296 | + | 0.523451i | ||||
\(836\) | 58.0331i | 2.00712i | ||||||||
\(837\) | −2.27722 | − | 5.01601i | −0.0787123 | − | 0.173379i | ||||
\(838\) | −55.6688 | + | 55.6688i | −1.92305 | + | 1.92305i | ||||
\(839\) | −0.570619 | −0.0196999 | −0.00984997 | − | 0.999951i | \(-0.503135\pi\) | ||||
−0.00984997 | + | 0.999951i | \(0.503135\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −26.1399 | −0.901376 | ||||||||
\(842\) | −16.5766 | + | 16.5766i | −0.571267 | + | 0.571267i | ||||
\(843\) | 13.7543 | + | 17.5169i | 0.473725 | + | 0.603313i | ||||
\(844\) | 38.6906i | 1.33178i | ||||||||
\(845\) | −22.1836 | + | 8.65303i | −0.763140 | + | 0.297673i | ||||
\(846\) | 34.6109 | + | 8.45104i | 1.18995 | + | 0.290553i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 4.65743 | + | 4.65743i | 0.159937 | + | 0.159937i | ||||
\(849\) | 0.300607 | − | 2.49841i | 0.0103168 | − | 0.0857453i | ||||
\(850\) | −16.1496 | − | 17.5515i | −0.553926 | − | 0.602011i | ||||
\(851\) | − | 19.3543i | − | 0.663456i | ||||||
\(852\) | 19.4518 | − | 15.2737i | 0.666407 | − | 0.523267i | ||||
\(853\) | 22.3992 | − | 22.3992i | 0.766933 | − | 0.766933i | −0.210632 | − | 0.977565i | \(-0.567552\pi\) |
0.977565 | + | 0.210632i | \(0.0675523\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −3.74408 | − | 28.1078i | −0.128045 | − | 0.961266i | ||||
\(856\) | −22.1479 | −0.757001 | ||||||||
\(857\) | −27.1807 | + | 27.1807i | −0.928476 | + | 0.928476i | −0.997608 | − | 0.0691314i | \(-0.977977\pi\) |
0.0691314 | + | 0.997608i | \(0.477977\pi\) | |||||||
\(858\) | 21.0882 | − | 16.5585i | 0.719938 | − | 0.565299i | ||||
\(859\) | 21.6904i | 0.740066i | 0.929019 | + | 0.370033i | \(0.120654\pi\) | ||||
−0.929019 | + | 0.370033i | \(0.879346\pi\) | |||||||
\(860\) | 7.78690 | − | 17.7466i | 0.265531 | − | 0.605155i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −25.2233 | − | 25.2233i | −0.859111 | − | 0.859111i | ||||
\(863\) | 18.9364 | + | 18.9364i | 0.644603 | + | 0.644603i | 0.951684 | − | 0.307080i | \(-0.0993520\pi\) |
−0.307080 | + | 0.951684i | \(0.599352\pi\) | |||||||
\(864\) | 31.5030 | + | 11.8301i | 1.07175 | + | 0.402470i | ||||
\(865\) | −0.0564621 | + | 0.128679i | −0.00191977 | + | 0.00437522i | ||||
\(866\) | 81.6482i | 2.77452i | ||||||||
\(867\) | 13.3728 | + | 17.0309i | 0.454164 | + | 0.578401i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −29.9767 | −1.01689 | ||||||||
\(870\) | 14.2657 | − | 3.67561i | 0.483654 | − | 0.124615i | ||||
\(871\) | −0.904231 | −0.0306387 | ||||||||
\(872\) | −31.8114 | + | 31.8114i | −1.07727 | + | 1.07727i | ||||
\(873\) | 20.3225 | − | 12.3458i | 0.687811 | − | 0.417841i | ||||
\(874\) | − | 30.8692i | − | 1.04416i | ||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 22.9810 | + | 2.76505i | 0.776454 | + | 0.0934223i | ||||
\(877\) | −13.3011 | − | 13.3011i | −0.449146 | − | 0.449146i | 0.445925 | − | 0.895071i | \(-0.352875\pi\) |
−0.895071 | + | 0.445925i | \(0.852875\pi\) | |||||||
\(878\) | 34.1189 | + | 34.1189i | 1.15146 | + | 1.15146i | ||||
\(879\) | −3.24188 | − | 0.390060i | −0.109346 | − | 0.0131564i | ||||
\(880\) | 7.12743 | − | 2.78015i | 0.240266 | − | 0.0937190i | ||||
\(881\) | 36.9520i | 1.24495i | 0.782642 | + | 0.622473i | \(0.213872\pi\) | ||||
−0.782642 | + | 0.622473i | \(0.786128\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 33.9375 | − | 33.9375i | 1.14209 | − | 1.14209i | 0.154022 | − | 0.988067i | \(-0.450777\pi\) |
0.988067 | − | 0.154022i | \(-0.0492225\pi\) | |||||||
\(884\) | −9.94677 | −0.334546 | ||||||||
\(885\) | −15.6850 | − | 9.25830i | −0.527246 | − | 0.311214i | ||||
\(886\) | −51.6623 | −1.73563 | ||||||||
\(887\) | −5.27594 | + | 5.27594i | −0.177149 | + | 0.177149i | −0.790112 | − | 0.612963i | \(-0.789977\pi\) |
0.612963 | + | 0.790112i | \(0.289977\pi\) | |||||||
\(888\) | 15.1808 | + | 19.3336i | 0.509436 | + | 0.648793i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 16.1815 | + | 7.10014i | 0.542404 | + | 0.237997i | ||||
\(891\) | −18.6181 | + | 35.8518i | −0.623730 | + | 1.20108i | ||||
\(892\) | 45.8426 | + | 45.8426i | 1.53492 | + | 1.53492i | ||||
\(893\) | −15.7825 | − | 15.7825i | −0.528142 | − | 0.528142i | ||||
\(894\) | −5.15895 | + | 42.8773i | −0.172541 | + | 1.43403i | ||||
\(895\) | −16.1828 | − | 41.4876i | −0.540932 | − | 1.38678i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −6.78233 | + | 5.32552i | −0.226455 | + | 0.177814i | ||||
\(898\) | −25.5993 | + | 25.5993i | −0.854260 | + | 0.854260i | ||||
\(899\) | −1.79292 | −0.0597971 | ||||||||
\(900\) | 40.1666 | − | 22.1698i | 1.33889 | − | 0.738995i | ||||
\(901\) | 18.3271 | 0.610565 | ||||||||
\(902\) | 41.7061 | − | 41.7061i | 1.38866 | − | 1.38866i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 29.2001i | 0.971179i | ||||||||
\(905\) | −10.6343 | − | 27.2629i | −0.353496 | − | 0.906251i | ||||
\(906\) | 4.90921 | − | 40.8016i | 0.163098 | − | 1.35554i | ||||
\(907\) | −37.8302 | − | 37.8302i | −1.25613 | − | 1.25613i | −0.952925 | − | 0.303205i | \(-0.901943\pi\) |
−0.303205 | − | 0.952925i | \(-0.598057\pi\) | |||||||
\(908\) | −32.8643 | − | 32.8643i | −1.09064 | − | 1.09064i | ||||
\(909\) | −38.5565 | − | 9.41444i | −1.27884 | − | 0.312257i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | − | 25.7854i | − | 0.854307i | −0.904179 | − | 0.427154i | \(-0.859516\pi\) | ||
0.904179 | − | 0.427154i | \(-0.140484\pi\) | |||||||
\(912\) | −3.44648 | − | 4.38927i | −0.114124 | − | 0.145343i | ||||
\(913\) | 49.6951 | − | 49.6951i | 1.64467 | − | 1.64467i | ||||
\(914\) | 41.1181 | 1.36006 | ||||||||
\(915\) | 25.9371 | + | 15.3097i | 0.857454 | + | 0.506124i | ||||
\(916\) | −33.9921 | −1.12313 | ||||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 22.5696 | − | 10.2464i | 0.744906 | − | 0.338181i | ||||
\(919\) | − | 0.855340i | − | 0.0282151i | −0.999900 | − | 0.0141075i | \(-0.995509\pi\) | ||
0.999900 | − | 0.0141075i | \(-0.00449072\pi\) | |||||||
\(920\) | 16.1043 | − | 6.28170i | 0.530942 | − | 0.207101i | ||||
\(921\) | −22.7367 | − | 2.73566i | −0.749201 | − | 0.0901432i | ||||
\(922\) | 17.5214 | + | 17.5214i | 0.577036 | + | 0.577036i | ||||
\(923\) | 5.06174 | + | 5.06174i | 0.166609 | + | 0.166609i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −29.7784 | − | 1.23874i | −0.979106 | − | 0.0407294i | ||||
\(926\) | − | 52.8482i | − | 1.73670i | ||||||
\(927\) | −5.48636 | − | 9.03114i | −0.180196 | − | 0.296621i | ||||
\(928\) | 7.74448 | − | 7.74448i | 0.254225 | − | 0.254225i | ||||
\(929\) | 45.0302 | 1.47739 | 0.738697 | − | 0.674038i | \(-0.235441\pi\) | ||||
0.738697 | + | 0.674038i | \(0.235441\pi\) | |||||||
\(930\) | −8.94278 | + | 2.30413i | −0.293245 | + | 0.0755555i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −20.0381 | + | 20.0381i | −0.656369 | + | 0.656369i | ||||
\(933\) | −7.76033 | − | 9.88318i | −0.254062 | − | 0.323561i | ||||
\(934\) | − | 45.6703i | − | 1.49438i | ||||||
\(935\) | 8.55333 | − | 19.4933i | 0.279724 | − | 0.637500i | ||||
\(936\) | 2.59792 | − | 10.6397i | 0.0849156 | − | 0.347768i | ||||
\(937\) | 8.85926 | + | 8.85926i | 0.289419 | + | 0.289419i | 0.836851 | − | 0.547431i | \(-0.184394\pi\) |
−0.547431 | + | 0.836851i | \(0.684394\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −4.62992 | + | 38.4804i | −0.151092 | + | 1.25576i | ||||
\(940\) | 14.5102 | − | 33.0691i | 0.473269 | − | 1.07860i | ||||
\(941\) | − | 33.7974i | − | 1.10176i | −0.834583 | − | 0.550882i | \(-0.814292\pi\) | ||
0.834583 | − | 0.550882i | \(-0.185708\pi\) | |||||||
\(942\) | 10.2109 | − | 8.01767i | 0.332690 | − | 0.261230i | ||||
\(943\) | −13.4134 | + | 13.4134i | −0.436801 | + | 0.436801i | ||||
\(944\) | −3.58457 | −0.116668 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 28.6072 | 0.930100 | ||||||||
\(947\) | 8.15002 | − | 8.15002i | 0.264840 | − | 0.264840i | −0.562177 | − | 0.827017i | \(-0.690036\pi\) |
0.827017 | + | 0.562177i | \(0.190036\pi\) | |||||||
\(948\) | −27.8263 | + | 21.8494i | −0.903756 | + | 0.709634i | ||||
\(949\) | 6.69962i | 0.217479i | ||||||||
\(950\) | −47.4951 | − | 1.97573i | −1.54094 | − | 0.0641010i | ||||
\(951\) | −4.17893 | + | 34.7321i | −0.135511 | + | 1.12626i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 7.06925 | + | 7.06925i | 0.228995 | + | 0.228995i | 0.812273 | − | 0.583278i | \(-0.198230\pi\) |
−0.583278 | + | 0.812273i | \(0.698230\pi\) | |||||||
\(954\) | −13.8303 | + | 56.6416i | −0.447774 | + | 1.83384i | ||||
\(955\) | 24.0767 | − | 9.39145i | 0.779103 | − | 0.303900i | ||||
\(956\) | − | 74.0636i | − | 2.39539i | ||||||
\(957\) | 8.12001 | + | 10.3413i | 0.262483 | + | 0.334285i | ||||
\(958\) | −8.77886 | + | 8.77886i | −0.283632 | + | 0.283632i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 25.6743 | − | 43.4963i | 0.828635 | − | 1.40384i | ||||
\(961\) | −29.8761 | −0.963744 | ||||||||
\(962\) | −14.5361 | + | 14.5361i | −0.468662 | + | 0.468662i | ||||
\(963\) | 14.4893 | + | 23.8509i | 0.466911 | + | 0.768585i | ||||
\(964\) | − | 30.9738i | − | 0.997600i | ||||||
\(965\) | 28.8179 | + | 12.6448i | 0.927681 | + | 0.407050i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −26.2079 | − | 26.2079i | −0.842788 | − | 0.842788i | 0.146433 | − | 0.989221i | \(-0.453221\pi\) |
−0.989221 | + | 0.146433i | \(0.953221\pi\) | |||||||
\(968\) | −15.4011 | − | 15.4011i | −0.495009 | − | 0.495009i | ||||
\(969\) | −15.4170 | − | 1.85496i | −0.495264 | − | 0.0595898i | ||||
\(970\) | −14.4859 | − | 37.1372i | −0.465114 | − | 1.19240i | ||||
\(971\) | 33.7545i | 1.08323i | 0.840626 | + | 0.541617i | \(0.182188\pi\) | ||||
−0.840626 | + | 0.541617i | \(0.817812\pi\) | |||||||
\(972\) | 8.84908 | + | 46.8502i | 0.283834 | + | 1.50272i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −19.2441 | −0.616620 | ||||||||
\(975\) | 7.75973 | + | 10.7761i | 0.248510 | + | 0.345111i | ||||
\(976\) | 5.92752 | 0.189735 | ||||||||
\(977\) | −23.3088 | + | 23.3088i | −0.745716 | + | 0.745716i | −0.973671 | − | 0.227956i | \(-0.926796\pi\) |
0.227956 | + | 0.973671i | \(0.426796\pi\) | |||||||
\(978\) | −17.1836 | − | 21.8841i | −0.549470 | − | 0.699778i | ||||
\(979\) | 15.7713i | 0.504054i | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 55.0685 | + | 13.4462i | 1.75820 | + | 0.429306i | ||||
\(982\) | −9.54515 | − | 9.54515i | −0.304598 | − | 0.304598i | ||||
\(983\) | 24.4064 | + | 24.4064i | 0.778445 | + | 0.778445i | 0.979566 | − | 0.201122i | \(-0.0644587\pi\) |
−0.201122 | + | 0.979566i | \(0.564459\pi\) | |||||||
\(984\) | 2.87805 | − | 23.9201i | 0.0917488 | − | 0.762546i | ||||
\(985\) | −50.3124 | − | 22.0762i | −1.60309 | − | 0.703406i | ||||
\(986\) | − | 8.06725i | − | 0.256913i | ||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −14.0180 | + | 14.0180i | −0.445973 | + | 0.445973i | ||||
\(989\) | −9.20058 | −0.292562 | ||||||||
\(990\) | 53.7911 | + | 41.1452i | 1.70959 | + | 1.30768i | ||||
\(991\) | −9.28020 | −0.294795 | −0.147398 | − | 0.989077i | \(-0.547090\pi\) | ||||
−0.147398 | + | 0.989077i | \(0.547090\pi\) | |||||||
\(992\) | −4.85479 | + | 4.85479i | −0.154140 | + | 0.154140i | ||||
\(993\) | 8.55754 | − | 6.71943i | 0.271565 | − | 0.213235i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −30.1250 | + | 11.7507i | −0.955028 | + | 0.372522i | ||||
\(996\) | 9.90849 | − | 82.3518i | 0.313962 | − | 2.60942i | ||||
\(997\) | −42.3265 | − | 42.3265i | −1.34049 | − | 1.34049i | −0.895568 | − | 0.444926i | \(-0.853230\pi\) |
−0.444926 | − | 0.895568i | \(-0.646770\pi\) | |||||||
\(998\) | 33.7041 | + | 33.7041i | 1.06688 | + | 1.06688i | ||||
\(999\) | 10.8888 | − | 28.9962i | 0.344506 | − | 0.917400i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))