Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [525,2,Mod(151,525)]
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([0, 0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("525.151");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 525 = 3 \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 525.i (of order \(3\), 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: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{8} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - 2x^{7} + 8x^{6} + 21x^{4} - 4x^{3} + 28x^{2} + 12x + 9 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 105) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 151.3 | ||
Root | \(0.643668 - 1.11487i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 525.151 |
Dual form | 525.2.i.h.226.3 |
$q$-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 \(\left(\mathbb{Z}/525\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(176\) | \(451\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.143668 | + | 0.248840i | 0.101589 | + | 0.175957i | 0.912339 | − | 0.409435i | \(-0.134274\pi\) |
−0.810751 | + | 0.585392i | \(0.800941\pi\) | |||||||
\(3\) | 0.500000 | − | 0.866025i | 0.288675 | − | 0.500000i | ||||
\(4\) | 0.958719 | − | 1.66055i | 0.479360 | − | 0.830275i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 0.287336 | 0.117304 | ||||||||
\(7\) | 2.39939 | − | 1.11487i | 0.906884 | − | 0.421380i | ||||
\(8\) | 1.12562 | 0.397967 | ||||||||
\(9\) | −0.500000 | − | 0.866025i | −0.166667 | − | 0.288675i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 1.66520 | − | 2.88421i | 0.502076 | − | 0.869621i | −0.497921 | − | 0.867222i | \(-0.665903\pi\) |
0.999997 | − | 0.00239862i | \(-0.000763504\pi\) | |||||||
\(12\) | −0.958719 | − | 1.66055i | −0.276758 | − | 0.479360i | ||||
\(13\) | −4.54754 | −1.26126 | −0.630630 | − | 0.776083i | \(-0.717204\pi\) | ||||
−0.630630 | + | 0.776083i | \(0.717204\pi\) | |||||||
\(14\) | 0.622139 | + | 0.436894i | 0.166274 | + | 0.116765i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −1.75572 | − | 3.04100i | −0.438931 | − | 0.760250i | ||||
\(17\) | −2.77377 | + | 4.80431i | −0.672738 | + | 1.16522i | 0.304386 | + | 0.952549i | \(0.401549\pi\) |
−0.977125 | + | 0.212668i | \(0.931785\pi\) | |||||||
\(18\) | 0.143668 | − | 0.248840i | 0.0338629 | − | 0.0586522i | ||||
\(19\) | 0.828617 | + | 1.43521i | 0.190098 | + | 0.329259i | 0.945282 | − | 0.326253i | \(-0.105786\pi\) |
−0.755185 | + | 0.655512i | \(0.772453\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0.234193 | − | 2.63537i | 0.0511052 | − | 0.575084i | ||||
\(22\) | 0.956942 | 0.204021 | ||||||||
\(23\) | 3.81683 | + | 6.61094i | 0.795864 | + | 1.37848i | 0.922289 | + | 0.386500i | \(0.126316\pi\) |
−0.126425 | + | 0.991976i | \(0.540350\pi\) | |||||||
\(24\) | 0.562810 | − | 0.974816i | 0.114883 | − | 0.198983i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −0.653336 | − | 1.13161i | −0.128130 | − | 0.221927i | ||||
\(27\) | −1.00000 | −0.192450 | ||||||||
\(28\) | 0.449051 | − | 5.05315i | 0.0848627 | − | 0.954956i | ||||
\(29\) | −0.118657 | −0.0220341 | −0.0110170 | − | 0.999939i | \(-0.503507\pi\) | ||||
−0.0110170 | + | 0.999939i | \(0.503507\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.13010 | − | 5.42150i | 0.562183 | − | 0.973729i | −0.435123 | − | 0.900371i | \(-0.643295\pi\) |
0.997306 | − | 0.0733583i | \(-0.0233717\pi\) | |||||||
\(32\) | 1.63010 | − | 2.82342i | 0.288164 | − | 0.499115i | ||||
\(33\) | −1.66520 | − | 2.88421i | −0.289874 | − | 0.502076i | ||||
\(34\) | −1.59401 | −0.273370 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −1.91744 | −0.319573 | ||||||||
\(37\) | −3.87786 | − | 6.71665i | −0.637516 | − | 1.10421i | −0.985976 | − | 0.166887i | \(-0.946628\pi\) |
0.348460 | − | 0.937324i | \(-0.386705\pi\) | |||||||
\(38\) | −0.238091 | + | 0.412386i | −0.0386235 | + | 0.0668979i | ||||
\(39\) | −2.27377 | + | 3.93829i | −0.364095 | + | 0.630630i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 0.0701896 | 0.0109618 | 0.00548089 | − | 0.999985i | \(-0.498255\pi\) | ||||
0.00548089 | + | 0.999985i | \(0.498255\pi\) | |||||||
\(42\) | 0.689431 | − | 0.320341i | 0.106381 | − | 0.0494297i | ||||
\(43\) | 2.92981 | 0.446792 | 0.223396 | − | 0.974728i | \(-0.428286\pi\) | ||||
0.223396 | + | 0.974728i | \(0.428286\pi\) | |||||||
\(44\) | −3.19291 | − | 5.53029i | −0.481350 | − | 0.833722i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1.09671 | + | 1.89956i | −0.161701 | + | 0.280075i | ||||
\(47\) | 3.19291 | + | 5.53029i | 0.465734 | + | 0.806675i | 0.999234 | − | 0.0391247i | \(-0.0124570\pi\) |
−0.533500 | + | 0.845800i | \(0.679124\pi\) | |||||||
\(48\) | −3.51145 | −0.506833 | ||||||||
\(49\) | 4.51415 | − | 5.35000i | 0.644879 | − | 0.764285i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 2.77377 | + | 4.80431i | 0.388406 | + | 0.672738i | ||||
\(52\) | −4.35981 | + | 7.55142i | −0.604597 | + | 1.04719i | ||||
\(53\) | −0.369898 | + | 0.640682i | −0.0508094 | + | 0.0880044i | −0.890311 | − | 0.455352i | \(-0.849513\pi\) |
0.839502 | + | 0.543356i | \(0.182847\pi\) | |||||||
\(54\) | −0.143668 | − | 0.248840i | −0.0195507 | − | 0.0338629i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 2.70080 | − | 1.25492i | 0.360910 | − | 0.167695i | ||||
\(57\) | 1.65723 | 0.219506 | ||||||||
\(58\) | −0.0170472 | − | 0.0295266i | −0.00223841 | − | 0.00387704i | ||||
\(59\) | 0.815051 | − | 1.41171i | 0.106111 | − | 0.183789i | −0.808081 | − | 0.589072i | \(-0.799494\pi\) |
0.914191 | + | 0.405283i | \(0.132827\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.65901 | + | 6.33759i | 0.468488 | + | 0.811446i | 0.999351 | − | 0.0360120i | \(-0.0114655\pi\) |
−0.530863 | + | 0.847458i | \(0.678132\pi\) | |||||||
\(62\) | 1.79878 | 0.228445 | ||||||||
\(63\) | −2.16520 | − | 1.52050i | −0.272789 | − | 0.191565i | ||||
\(64\) | −6.08612 | −0.760765 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0.478471 | − | 0.828736i | 0.0588957 | − | 0.102010i | ||||
\(67\) | −1.51805 | + | 2.62934i | −0.185459 | + | 0.321224i | −0.943731 | − | 0.330714i | \(-0.892711\pi\) |
0.758272 | + | 0.651938i | \(0.226044\pi\) | |||||||
\(68\) | 5.31853 | + | 9.21197i | 0.644967 | + | 1.11712i | ||||
\(69\) | 7.63366 | 0.918984 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −3.77048 | −0.447474 | −0.223737 | − | 0.974650i | \(-0.571826\pi\) | ||||
−0.223737 | + | 0.974650i | \(0.571826\pi\) | |||||||
\(72\) | −0.562810 | − | 0.974816i | −0.0663278 | − | 0.114883i | ||||
\(73\) | −1.17757 | + | 2.03961i | −0.137824 | + | 0.238718i | −0.926673 | − | 0.375869i | \(-0.877344\pi\) |
0.788849 | + | 0.614588i | \(0.210678\pi\) | |||||||
\(74\) | 1.11425 | − | 1.92993i | 0.129529 | − | 0.224350i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 3.17764 | 0.364501 | ||||||||
\(77\) | 0.779956 | − | 8.77681i | 0.0888843 | − | 1.00021i | ||||
\(78\) | −1.30667 | −0.147951 | ||||||||
\(79\) | 5.97016 | + | 10.3406i | 0.671696 | + | 1.16341i | 0.977423 | + | 0.211292i | \(0.0677672\pi\) |
−0.305727 | + | 0.952119i | \(0.598899\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.500000 | + | 0.866025i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | 0.0100840 | + | 0.0174660i | 0.00111359 | + | 0.00192880i | ||||
\(83\) | 1.22411 | 0.134363 | 0.0671817 | − | 0.997741i | \(-0.478599\pi\) | ||||
0.0671817 | + | 0.997741i | \(0.478599\pi\) | |||||||
\(84\) | −4.15163 | − | 2.91547i | −0.452980 | − | 0.318103i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 0.420920 | + | 0.729054i | 0.0453889 | + | 0.0786160i | ||||
\(87\) | −0.0593285 | + | 0.102760i | −0.00636069 | + | 0.0110170i | ||||
\(88\) | 1.87438 | − | 3.24652i | 0.199810 | − | 0.346080i | ||||
\(89\) | 6.50007 | + | 11.2585i | 0.689006 | + | 1.19339i | 0.972160 | + | 0.234319i | \(0.0752862\pi\) |
−0.283153 | + | 0.959075i | \(0.591381\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −10.9113 | + | 5.06990i | −1.14382 | + | 0.531470i | ||||
\(92\) | 14.6371 | 1.52602 | ||||||||
\(93\) | −3.13010 | − | 5.42150i | −0.324576 | − | 0.562183i | ||||
\(94\) | −0.917438 | + | 1.58905i | −0.0946265 | + | 0.163898i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −1.63010 | − | 2.82342i | −0.166372 | − | 0.288164i | ||||
\(97\) | −3.04306 | −0.308976 | −0.154488 | − | 0.987995i | \(-0.549373\pi\) | ||||
−0.154488 | + | 0.987995i | \(0.549373\pi\) | |||||||
\(98\) | 1.97983 | + | 0.354679i | 0.199993 | + | 0.0358280i | ||||
\(99\) | −3.33039 | −0.334717 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −8.01983 | + | 13.8907i | −0.798002 | + | 1.38218i | 0.122913 | + | 0.992417i | \(0.460776\pi\) |
−0.920915 | + | 0.389763i | \(0.872557\pi\) | |||||||
\(102\) | −0.797004 | + | 1.38045i | −0.0789151 | + | 0.136685i | ||||
\(103\) | −2.64596 | − | 4.58293i | −0.260714 | − | 0.451570i | 0.705718 | − | 0.708493i | \(-0.250625\pi\) |
−0.966432 | + | 0.256923i | \(0.917291\pi\) | |||||||
\(104\) | −5.11880 | −0.501940 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −0.212570 | −0.0206466 | ||||||||
\(107\) | −2.58086 | − | 4.47018i | −0.249501 | − | 0.432148i | 0.713886 | − | 0.700261i | \(-0.246933\pi\) |
−0.963387 | + | 0.268113i | \(0.913600\pi\) | |||||||
\(108\) | −0.958719 | + | 1.66055i | −0.0922528 | + | 0.159787i | ||||
\(109\) | −1.62043 | + | 2.80668i | −0.155209 | + | 0.268831i | −0.933135 | − | 0.359525i | \(-0.882939\pi\) |
0.777926 | + | 0.628356i | \(0.216272\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −7.75572 | −0.736141 | ||||||||
\(112\) | −7.60297 | − | 5.33915i | −0.718413 | − | 0.504503i | ||||
\(113\) | 12.6608 | 1.19103 | 0.595513 | − | 0.803345i | \(-0.296949\pi\) | ||||
0.595513 | + | 0.803345i | \(0.296949\pi\) | |||||||
\(114\) | 0.238091 | + | 0.412386i | 0.0222993 | + | 0.0386235i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −0.113759 | + | 0.197036i | −0.0105622 | + | 0.0182943i | ||||
\(117\) | 2.27377 | + | 3.93829i | 0.210210 | + | 0.364095i | ||||
\(118\) | 0.468387 | 0.0431185 | ||||||||
\(119\) | −1.29920 | + | 14.6198i | −0.119097 | + | 1.34019i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −0.0457629 | − | 0.0792637i | −0.00416027 | − | 0.00720579i | ||||
\(122\) | −1.05136 | + | 1.82102i | −0.0951861 | + | 0.164867i | ||||
\(123\) | 0.0350948 | − | 0.0607860i | 0.00316439 | − | 0.00548089i | ||||
\(124\) | −6.00178 | − | 10.3954i | −0.538976 | − | 0.933533i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 0.0672922 | − | 0.757235i | 0.00599486 | − | 0.0674599i | ||||
\(127\) | 16.5475 | 1.46836 | 0.734178 | − | 0.678957i | \(-0.237568\pi\) | ||||
0.734178 | + | 0.678957i | \(0.237568\pi\) | |||||||
\(128\) | −4.13458 | − | 7.16131i | −0.365449 | − | 0.632976i | ||||
\(129\) | 1.46491 | − | 2.53729i | 0.128978 | − | 0.223396i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 2.64893 | + | 4.58808i | 0.231438 | + | 0.400862i | 0.958231 | − | 0.285994i | \(-0.0923237\pi\) |
−0.726794 | + | 0.686856i | \(0.758990\pi\) | |||||||
\(132\) | −6.38582 | −0.555815 | ||||||||
\(133\) | 3.58824 | + | 2.51982i | 0.311140 | + | 0.218496i | ||||
\(134\) | −0.872379 | −0.0753621 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −3.12221 | + | 5.40783i | −0.267727 | + | 0.463718i | ||||
\(137\) | −7.43507 | + | 12.8779i | −0.635221 | + | 1.10023i | 0.351247 | + | 0.936283i | \(0.385758\pi\) |
−0.986468 | + | 0.163952i | \(0.947576\pi\) | |||||||
\(138\) | 1.09671 | + | 1.89956i | 0.0933583 | + | 0.161701i | ||||
\(139\) | −9.51685 | −0.807209 | −0.403605 | − | 0.914934i | \(-0.632243\pi\) | ||||
−0.403605 | + | 0.914934i | \(0.632243\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 6.38582 | 0.537783 | ||||||||
\(142\) | −0.541697 | − | 0.938247i | −0.0454582 | − | 0.0787359i | ||||
\(143\) | −7.57255 | + | 13.1160i | −0.633249 | + | 1.09682i | ||||
\(144\) | −1.75572 | + | 3.04100i | −0.146310 | + | 0.253417i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −0.676716 | −0.0560054 | ||||||||
\(147\) | −2.37616 | − | 6.58437i | −0.195982 | − | 0.543069i | ||||
\(148\) | −14.8711 | −1.22240 | ||||||||
\(149\) | −5.68502 | − | 9.84675i | −0.465735 | − | 0.806677i | 0.533499 | − | 0.845801i | \(-0.320877\pi\) |
−0.999234 | + | 0.0391236i | \(0.987543\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −4.47016 | + | 7.74255i | −0.363777 | + | 0.630080i | −0.988579 | − | 0.150703i | \(-0.951846\pi\) |
0.624802 | + | 0.780783i | \(0.285180\pi\) | |||||||
\(152\) | 0.932708 | + | 1.61550i | 0.0756526 | + | 0.131034i | ||||
\(153\) | 5.54754 | 0.448492 | ||||||||
\(154\) | 2.29608 | − | 1.06686i | 0.185023 | − | 0.0859701i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 4.35981 | + | 7.55142i | 0.349064 | + | 0.604597i | ||||
\(157\) | 1.67316 | − | 2.89800i | 0.133533 | − | 0.231286i | −0.791503 | − | 0.611165i | \(-0.790701\pi\) |
0.925036 | + | 0.379879i | \(0.124035\pi\) | |||||||
\(158\) | −1.71544 | + | 2.97123i | −0.136473 | + | 0.236379i | ||||
\(159\) | 0.369898 | + | 0.640682i | 0.0293348 | + | 0.0508094i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 16.5284 | + | 11.6070i | 1.30262 | + | 0.914758i | ||||
\(162\) | −0.287336 | −0.0225752 | ||||||||
\(163\) | −7.87793 | − | 13.6450i | −0.617047 | − | 1.06876i | −0.990022 | − | 0.140916i | \(-0.954995\pi\) |
0.372974 | − | 0.927842i | \(-0.378338\pi\) | |||||||
\(164\) | 0.0672922 | − | 0.116553i | 0.00525463 | − | 0.00910129i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0.175865 | + | 0.304608i | 0.0136498 | + | 0.0236421i | ||||
\(167\) | −22.5942 | −1.74839 | −0.874194 | − | 0.485577i | \(-0.838610\pi\) | ||||
−0.874194 | + | 0.485577i | \(0.838610\pi\) | |||||||
\(168\) | 0.263613 | − | 2.96642i | 0.0203382 | − | 0.228864i | ||||
\(169\) | 7.68012 | 0.590779 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0.828617 | − | 1.43521i | 0.0633659 | − | 0.109753i | ||||
\(172\) | 2.80887 | − | 4.86510i | 0.214174 | − | 0.370960i | ||||
\(173\) | −4.26310 | − | 7.38391i | −0.324118 | − | 0.561388i | 0.657216 | − | 0.753703i | \(-0.271734\pi\) |
−0.981333 | + | 0.192314i | \(0.938401\pi\) | |||||||
\(174\) | −0.0340944 | −0.00258469 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −11.6945 | −0.881506 | ||||||||
\(177\) | −0.815051 | − | 1.41171i | −0.0612630 | − | 0.106111i | ||||
\(178\) | −1.86770 | + | 3.23496i | −0.139990 | + | 0.242470i | ||||
\(179\) | 5.89031 | − | 10.2023i | 0.440262 | − | 0.762557i | −0.557446 | − | 0.830213i | \(-0.688219\pi\) |
0.997709 | + | 0.0676564i | \(0.0215522\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 9.08967 | 0.675630 | 0.337815 | − | 0.941213i | \(-0.390312\pi\) | ||||
0.337815 | + | 0.941213i | \(0.390312\pi\) | |||||||
\(182\) | −2.82920 | − | 1.98679i | −0.209714 | − | 0.147271i | ||||
\(183\) | 7.31802 | 0.540964 | ||||||||
\(184\) | 4.29630 | + | 7.44141i | 0.316727 | + | 0.548588i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 0.899391 | − | 1.55779i | 0.0659465 | − | 0.114223i | ||||
\(187\) | 9.23775 | + | 16.0002i | 0.675531 | + | 1.17005i | ||||
\(188\) | 12.2444 | 0.893016 | ||||||||
\(189\) | −2.39939 | + | 1.11487i | −0.174530 | + | 0.0810945i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −10.2478 | − | 17.7498i | −0.741507 | − | 1.28433i | −0.951809 | − | 0.306692i | \(-0.900778\pi\) |
0.210302 | − | 0.977637i | \(-0.432555\pi\) | |||||||
\(192\) | −3.04306 | + | 5.27073i | −0.219614 | + | 0.380382i | ||||
\(193\) | −4.27148 | + | 7.39842i | −0.307468 | + | 0.532550i | −0.977808 | − | 0.209504i | \(-0.932815\pi\) |
0.670340 | + | 0.742054i | \(0.266148\pi\) | |||||||
\(194\) | −0.437190 | − | 0.757235i | −0.0313884 | − | 0.0543663i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −4.55613 | − | 12.6251i | −0.325438 | − | 0.901794i | ||||
\(197\) | 13.8086 | 0.983820 | 0.491910 | − | 0.870646i | \(-0.336299\pi\) | ||||
0.491910 | + | 0.870646i | \(0.336299\pi\) | |||||||
\(198\) | −0.478471 | − | 0.828736i | −0.0340034 | − | 0.0588957i | ||||
\(199\) | −1.89549 | + | 3.28309i | −0.134368 | + | 0.232732i | −0.925356 | − | 0.379100i | \(-0.876234\pi\) |
0.790988 | + | 0.611832i | \(0.209567\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 1.51805 | + | 2.62934i | 0.107075 | + | 0.185459i | ||||
\(202\) | −4.60877 | −0.324272 | ||||||||
\(203\) | −0.284705 | + | 0.132287i | −0.0199824 | + | 0.00928471i | ||||
\(204\) | 10.6371 | 0.744744 | ||||||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 0.760278 | − | 1.31684i | 0.0529711 | − | 0.0917486i | ||||
\(207\) | 3.81683 | − | 6.61094i | 0.265288 | − | 0.459492i | ||||
\(208\) | 7.98422 | + | 13.8291i | 0.553606 | + | 0.958874i | ||||
\(209\) | 5.51924 | 0.381774 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −0.114416 | −0.00787674 | −0.00393837 | − | 0.999992i | \(-0.501254\pi\) | ||||
−0.00393837 | + | 0.999992i | \(0.501254\pi\) | |||||||
\(212\) | 0.709256 | + | 1.22847i | 0.0487119 | + | 0.0843715i | ||||
\(213\) | −1.88524 | + | 3.26533i | −0.129175 | + | 0.223737i | ||||
\(214\) | 0.741573 | − | 1.28444i | 0.0506929 | − | 0.0878026i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −1.12562 | −0.0765888 | ||||||||
\(217\) | 1.46610 | − | 16.4979i | 0.0995253 | − | 1.11995i | ||||
\(218\) | −0.931218 | −0.0630700 | ||||||||
\(219\) | 1.17757 | + | 2.03961i | 0.0795728 | + | 0.137824i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 12.6138 | − | 21.8478i | 0.848498 | − | 1.46964i | ||||
\(222\) | −1.11425 | − | 1.92993i | −0.0747835 | − | 0.129529i | ||||
\(223\) | 7.86673 | 0.526795 | 0.263398 | − | 0.964687i | \(-0.415157\pi\) | ||||
0.263398 | + | 0.964687i | \(0.415157\pi\) | |||||||
\(224\) | 0.763518 | − | 8.59183i | 0.0510147 | − | 0.574066i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 1.81895 | + | 3.15051i | 0.120995 | + | 0.209569i | ||||
\(227\) | −4.48933 | + | 7.77575i | −0.297967 | + | 0.516095i | −0.975671 | − | 0.219241i | \(-0.929642\pi\) |
0.677703 | + | 0.735335i | \(0.262975\pi\) | |||||||
\(228\) | 1.58882 | − | 2.75192i | 0.105222 | − | 0.182250i | ||||
\(229\) | 2.54306 | + | 4.40471i | 0.168050 | + | 0.291071i | 0.937734 | − | 0.347354i | \(-0.112920\pi\) |
−0.769684 | + | 0.638425i | \(0.779586\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −7.21096 | − | 5.06387i | −0.474446 | − | 0.333178i | ||||
\(232\) | −0.133563 | −0.00876883 | ||||||||
\(233\) | −10.9091 | − | 18.8952i | −0.714681 | − | 1.23786i | −0.963082 | − | 0.269207i | \(-0.913239\pi\) |
0.248401 | − | 0.968657i | \(-0.420095\pi\) | |||||||
\(234\) | −0.653336 | + | 1.13161i | −0.0427099 | + | 0.0739757i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −1.56281 | − | 2.70687i | −0.101730 | − | 0.176202i | ||||
\(237\) | 11.9403 | 0.775608 | ||||||||
\(238\) | −3.82465 | + | 1.77710i | −0.247915 | + | 0.115193i | ||||
\(239\) | 7.44905 | 0.481839 | 0.240920 | − | 0.970545i | \(-0.422551\pi\) | ||||
0.240920 | + | 0.970545i | \(0.422551\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 12.0879 | − | 20.9368i | 0.778650 | − | 1.34866i | −0.154070 | − | 0.988060i | \(-0.549238\pi\) |
0.932720 | − | 0.360601i | \(-0.117428\pi\) | |||||||
\(242\) | 0.0131493 | − | 0.0227753i | 0.000845271 | − | 0.00146405i | ||||
\(243\) | 0.500000 | + | 0.866025i | 0.0320750 | + | 0.0555556i | ||||
\(244\) | 14.0319 | 0.898297 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0.0201680 | 0.00128586 | ||||||||
\(247\) | −3.76817 | − | 6.52666i | −0.239763 | − | 0.415281i | ||||
\(248\) | 3.52331 | − | 6.10255i | 0.223730 | − | 0.387512i | ||||
\(249\) | 0.612055 | − | 1.06011i | 0.0387874 | − | 0.0671817i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 6.00200 | 0.378843 | 0.189421 | − | 0.981896i | \(-0.439339\pi\) | ||||
0.189421 | + | 0.981896i | \(0.439339\pi\) | |||||||
\(252\) | −4.60068 | + | 2.13769i | −0.289816 | + | 0.134662i | ||||
\(253\) | 25.4231 | 1.59834 | ||||||||
\(254\) | 2.37735 | + | 4.11769i | 0.149168 | + | 0.258367i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −4.89810 | + | 8.48376i | −0.306131 | + | 0.530235i | ||||
\(257\) | −3.66697 | − | 6.35139i | −0.228740 | − | 0.396189i | 0.728695 | − | 0.684838i | \(-0.240127\pi\) |
−0.957435 | + | 0.288650i | \(0.906794\pi\) | |||||||
\(258\) | 0.841839 | 0.0524106 | ||||||||
\(259\) | −16.7927 | − | 11.7926i | −1.04345 | − | 0.732755i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0.0593285 | + | 0.102760i | 0.00367234 | + | 0.00636069i | ||||
\(262\) | −0.761132 | + | 1.31832i | −0.0470229 | + | 0.0814460i | ||||
\(263\) | −4.74386 | + | 8.21661i | −0.292519 | + | 0.506658i | −0.974405 | − | 0.224801i | \(-0.927827\pi\) |
0.681886 | + | 0.731459i | \(0.261160\pi\) | |||||||
\(264\) | −1.87438 | − | 3.24652i | −0.115360 | − | 0.199810i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −0.111519 | + | 1.25492i | −0.00683766 | + | 0.0769438i | ||||
\(267\) | 13.0001 | 0.795596 | ||||||||
\(268\) | 2.91076 | + | 5.04159i | 0.177803 | + | 0.307964i | ||||
\(269\) | −8.02423 | + | 13.8984i | −0.489246 | + | 0.847399i | −0.999923 | − | 0.0123733i | \(-0.996061\pi\) |
0.510677 | + | 0.859772i | \(0.329395\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −12.0845 | − | 20.9309i | −0.734080 | − | 1.27146i | −0.955126 | − | 0.296201i | \(-0.904280\pi\) |
0.221045 | − | 0.975264i | \(-0.429053\pi\) | |||||||
\(272\) | 19.4799 | 1.18114 | ||||||||
\(273\) | −1.06500 | + | 11.9844i | −0.0644570 | + | 0.725331i | ||||
\(274\) | −4.27272 | −0.258125 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 7.31853 | − | 12.6761i | 0.440524 | − | 0.763010i | ||||
\(277\) | −11.6088 | + | 20.1071i | −0.697508 | + | 1.20812i | 0.271820 | + | 0.962348i | \(0.412374\pi\) |
−0.969328 | + | 0.245771i | \(0.920959\pi\) | |||||||
\(278\) | −1.36727 | − | 2.36818i | −0.0820032 | − | 0.142034i | ||||
\(279\) | −6.26020 | −0.374789 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 12.4472 | 0.742538 | 0.371269 | − | 0.928525i | \(-0.378923\pi\) | ||||
0.371269 | + | 0.928525i | \(0.378923\pi\) | |||||||
\(282\) | 0.917438 | + | 1.58905i | 0.0546326 | + | 0.0946265i | ||||
\(283\) | 4.33388 | − | 7.50649i | 0.257622 | − | 0.446215i | −0.707982 | − | 0.706230i | \(-0.750394\pi\) |
0.965604 | + | 0.260016i | \(0.0837277\pi\) | |||||||
\(284\) | −3.61483 | + | 6.26107i | −0.214501 | + | 0.371526i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −4.35173 | −0.257323 | ||||||||
\(287\) | 0.168412 | − | 0.0782520i | 0.00994107 | − | 0.00461907i | ||||
\(288\) | −3.26020 | −0.192109 | ||||||||
\(289\) | −6.88760 | − | 11.9297i | −0.405153 | − | 0.701746i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −1.52153 | + | 2.63537i | −0.0891936 | + | 0.154488i | ||||
\(292\) | 2.25792 | + | 3.91083i | 0.132135 | + | 0.228864i | ||||
\(293\) | −27.0063 | −1.57772 | −0.788862 | − | 0.614571i | \(-0.789329\pi\) | ||||
−0.788862 | + | 0.614571i | \(0.789329\pi\) | |||||||
\(294\) | 1.29708 | − | 1.53725i | 0.0756471 | − | 0.0896540i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −4.36500 | − | 7.56040i | −0.253710 | − | 0.439439i | ||||
\(297\) | −1.66520 | + | 2.88421i | −0.0966245 | + | 0.167359i | ||||
\(298\) | 1.63351 | − | 2.82932i | 0.0946267 | − | 0.163898i | ||||
\(299\) | −17.3572 | − | 30.0635i | −1.00379 | − | 1.73862i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 7.02976 | − | 3.26634i | 0.405189 | − | 0.188269i | ||||
\(302\) | −2.56888 | −0.147822 | ||||||||
\(303\) | 8.01983 | + | 13.8907i | 0.460727 | + | 0.798002i | ||||
\(304\) | 2.90964 | − | 5.03965i | 0.166879 | − | 0.289044i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 0.797004 | + | 1.38045i | 0.0455617 | + | 0.0789151i | ||||
\(307\) | 2.24681 | 0.128232 | 0.0641161 | − | 0.997942i | \(-0.479577\pi\) | ||||
0.0641161 | + | 0.997942i | \(0.479577\pi\) | |||||||
\(308\) | −13.8266 | − | 9.70965i | −0.787842 | − | 0.553259i | ||||
\(309\) | −5.29191 | −0.301046 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −14.2994 | + | 24.7672i | −0.810843 | + | 1.40442i | 0.101432 | + | 0.994842i | \(0.467657\pi\) |
−0.912275 | + | 0.409578i | \(0.865676\pi\) | |||||||
\(312\) | −2.55940 | + | 4.43301i | −0.144898 | + | 0.250970i | ||||
\(313\) | 6.66427 | + | 11.5429i | 0.376687 | + | 0.652441i | 0.990578 | − | 0.136950i | \(-0.0437300\pi\) |
−0.613891 | + | 0.789391i | \(0.710397\pi\) | |||||||
\(314\) | 0.961518 | 0.0542616 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 22.8948 | 1.28794 | ||||||||
\(317\) | −14.5963 | − | 25.2815i | −0.819808 | − | 1.41995i | −0.905823 | − | 0.423656i | \(-0.860747\pi\) |
0.0860147 | − | 0.996294i | \(-0.472587\pi\) | |||||||
\(318\) | −0.106285 | + | 0.184091i | −0.00596016 | + | 0.0103233i | ||||
\(319\) | −0.197587 | + | 0.342231i | −0.0110628 | + | 0.0191613i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −5.16172 | −0.288099 | ||||||||
\(322\) | −0.513685 | + | 5.78047i | −0.0286266 | + | 0.322133i | ||||
\(323\) | −9.19357 | −0.511544 | ||||||||
\(324\) | 0.958719 | + | 1.66055i | 0.0532622 | + | 0.0922528i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 2.26361 | − | 3.92069i | 0.125370 | − | 0.217147i | ||||
\(327\) | 1.62043 | + | 2.80668i | 0.0896102 | + | 0.155209i | ||||
\(328\) | 0.0790069 | 0.00436243 | ||||||||
\(329\) | 13.8266 | + | 9.70965i | 0.762283 | + | 0.535310i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 12.4457 | + | 21.5566i | 0.684080 | + | 1.18486i | 0.973725 | + | 0.227727i | \(0.0731293\pi\) |
−0.289646 | + | 0.957134i | \(0.593537\pi\) | |||||||
\(332\) | 1.17358 | − | 2.03270i | 0.0644084 | − | 0.111559i | ||||
\(333\) | −3.87786 | + | 6.71665i | −0.212505 | + | 0.368070i | ||||
\(334\) | −3.24605 | − | 5.62233i | −0.177616 | − | 0.307640i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −8.42533 | + | 3.91479i | −0.459639 | + | 0.213569i | ||||
\(337\) | 4.72659 | 0.257474 | 0.128737 | − | 0.991679i | \(-0.458908\pi\) | ||||
0.128737 | + | 0.991679i | \(0.458908\pi\) | |||||||
\(338\) | 1.10339 | + | 1.91112i | 0.0600164 | + | 0.103951i | ||||
\(339\) | 6.33039 | − | 10.9646i | 0.343820 | − | 0.595513i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −10.4245 | − | 18.0557i | −0.564517 | − | 0.977772i | ||||
\(342\) | 0.476183 | 0.0257490 | ||||||||
\(343\) | 4.86668 | − | 17.8694i | 0.262776 | − | 0.964857i | ||||
\(344\) | 3.29785 | 0.177808 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 1.22494 | − | 2.12166i | 0.0658533 | − | 0.114061i | ||||
\(347\) | 7.07915 | − | 12.2615i | 0.380029 | − | 0.658229i | −0.611037 | − | 0.791602i | \(-0.709247\pi\) |
0.991066 | + | 0.133373i | \(0.0425807\pi\) | |||||||
\(348\) | 0.113759 | + | 0.197036i | 0.00609811 | + | 0.0105622i | ||||
\(349\) | 5.04930 | 0.270283 | 0.135141 | − | 0.990826i | \(-0.456851\pi\) | ||||
0.135141 | + | 0.990826i | \(0.456851\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 4.54754 | 0.242730 | ||||||||
\(352\) | −5.42888 | − | 9.40310i | −0.289360 | − | 0.501187i | ||||
\(353\) | 8.04924 | − | 13.9417i | 0.428418 | − | 0.742042i | −0.568315 | − | 0.822811i | \(-0.692404\pi\) |
0.996733 | + | 0.0807694i | \(0.0257377\pi\) | |||||||
\(354\) | 0.234193 | − | 0.405635i | 0.0124472 | − | 0.0215592i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 24.9270 | 1.32113 | ||||||||
\(357\) | 12.0115 | + | 8.43504i | 0.635717 | + | 0.446430i | ||||
\(358\) | 3.38499 | 0.178902 | ||||||||
\(359\) | −0.153241 | − | 0.265421i | −0.00808776 | − | 0.0140084i | 0.861953 | − | 0.506988i | \(-0.169241\pi\) |
−0.870041 | + | 0.492979i | \(0.835908\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 8.12679 | − | 14.0760i | 0.427726 | − | 0.740843i | ||||
\(362\) | 1.30589 | + | 2.26188i | 0.0686363 | + | 0.118882i | ||||
\(363\) | −0.0915259 | −0.00480386 | ||||||||
\(364\) | −2.04208 | + | 22.9794i | −0.107034 | + | 1.20445i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 1.05136 | + | 1.82102i | 0.0549557 | + | 0.0951861i | ||||
\(367\) | −11.8249 | + | 20.4813i | −0.617253 | + | 1.06911i | 0.372732 | + | 0.927939i | \(0.378421\pi\) |
−0.989985 | + | 0.141174i | \(0.954912\pi\) | |||||||
\(368\) | 13.4026 | − | 23.2140i | 0.698658 | − | 1.21011i | ||||
\(369\) | −0.0350948 | − | 0.0607860i | −0.00182696 | − | 0.00316439i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −0.173255 | + | 1.94963i | −0.00899496 | + | 0.101220i | ||||
\(372\) | −12.0036 | −0.622355 | ||||||||
\(373\) | 9.41887 | + | 16.3140i | 0.487691 | + | 0.844705i | 0.999900 | − | 0.0141557i | \(-0.00450604\pi\) |
−0.512209 | + | 0.858861i | \(0.671173\pi\) | |||||||
\(374\) | −2.65434 | + | 4.59744i | −0.137252 | + | 0.237728i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 3.59401 | + | 6.22500i | 0.185347 | + | 0.321030i | ||||
\(377\) | 0.539598 | 0.0277907 | ||||||||
\(378\) | −0.622139 | − | 0.436894i | −0.0319994 | − | 0.0224714i | ||||
\(379\) | 14.2534 | 0.732147 | 0.366074 | − | 0.930586i | \(-0.380702\pi\) | ||||
0.366074 | + | 0.930586i | \(0.380702\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 8.27377 | − | 14.3306i | 0.423878 | − | 0.734178i | ||||
\(382\) | 2.94457 | − | 5.10014i | 0.150657 | − | 0.260946i | ||||
\(383\) | −12.5282 | − | 21.6995i | −0.640161 | − | 1.10879i | −0.985396 | − | 0.170276i | \(-0.945534\pi\) |
0.345235 | − | 0.938516i | \(-0.387799\pi\) | |||||||
\(384\) | −8.26917 | −0.421984 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −2.45470 | −0.124941 | ||||||||
\(387\) | −1.46491 | − | 2.53729i | −0.0744653 | − | 0.128978i | ||||
\(388\) | −2.91744 | + | 5.05315i | −0.148110 | + | 0.256535i | ||||
\(389\) | 6.73590 | − | 11.6669i | 0.341524 | − | 0.591536i | −0.643192 | − | 0.765705i | \(-0.722390\pi\) |
0.984716 | + | 0.174169i | \(0.0557238\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −42.3480 | −2.14163 | ||||||||
\(392\) | 5.08122 | − | 6.02206i | 0.256640 | − | 0.304160i | ||||
\(393\) | 5.29785 | 0.267241 | ||||||||
\(394\) | 1.98385 | + | 3.43613i | 0.0999449 | + | 0.173110i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −3.19291 | + | 5.53029i | −0.160450 | + | 0.277907i | ||||
\(397\) | −9.22418 | − | 15.9768i | −0.462948 | − | 0.801850i | 0.536158 | − | 0.844118i | \(-0.319875\pi\) |
−0.999106 | + | 0.0422675i | \(0.986542\pi\) | |||||||
\(398\) | −1.08929 | −0.0546010 | ||||||||
\(399\) | 3.97635 | − | 1.84759i | 0.199067 | − | 0.0924953i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −12.7093 | − | 22.0131i | −0.634670 | − | 1.09928i | −0.986585 | − | 0.163249i | \(-0.947803\pi\) |
0.351915 | − | 0.936032i | \(-0.385531\pi\) | |||||||
\(402\) | −0.436189 | + | 0.755502i | −0.0217552 | + | 0.0376810i | ||||
\(403\) | −14.2343 | + | 24.6545i | −0.709059 | + | 1.22813i | ||||
\(404\) | 15.3775 | + | 26.6346i | 0.765060 | + | 1.32512i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −0.0738212 | − | 0.0518406i | −0.00366368 | − | 0.00257281i | ||||
\(407\) | −25.8296 | −1.28033 | ||||||||
\(408\) | 3.12221 | + | 5.40783i | 0.154573 | + | 0.267727i | ||||
\(409\) | 9.36556 | − | 16.2216i | 0.463097 | − | 0.802108i | −0.536016 | − | 0.844208i | \(-0.680071\pi\) |
0.999113 | + | 0.0420997i | \(0.0134047\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 7.43507 | + | 12.8779i | 0.366745 | + | 0.635221i | ||||
\(412\) | −10.1469 | −0.499903 | ||||||||
\(413\) | 0.381759 | − | 4.29592i | 0.0187851 | − | 0.211388i | ||||
\(414\) | 2.19342 | 0.107801 | ||||||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −7.41296 | + | 12.8396i | −0.363450 | + | 0.629514i | ||||
\(417\) | −4.75843 | + | 8.24184i | −0.233021 | + | 0.403605i | ||||
\(418\) | 0.792938 | + | 1.37341i | 0.0387839 | + | 0.0671756i | ||||
\(419\) | 2.04745 | 0.100024 | 0.0500121 | − | 0.998749i | \(-0.484074\pi\) | ||||
0.0500121 | + | 0.998749i | \(0.484074\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −16.0512 | −0.782287 | −0.391144 | − | 0.920330i | \(-0.627920\pi\) | ||||
−0.391144 | + | 0.920330i | \(0.627920\pi\) | |||||||
\(422\) | −0.0164380 | − | 0.0284714i | −0.000800187 | − | 0.00138596i | ||||
\(423\) | 3.19291 | − | 5.53029i | 0.155245 | − | 0.268892i | ||||
\(424\) | −0.416364 | + | 0.721164i | −0.0202204 | + | 0.0350228i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −1.08339 | −0.0524906 | ||||||||
\(427\) | 15.8450 | + | 11.1271i | 0.766791 | + | 0.538476i | ||||
\(428\) | −9.89727 | −0.478403 | ||||||||
\(429\) | 7.57255 | + | 13.1160i | 0.365606 | + | 0.633249i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −18.3063 | + | 31.7075i | −0.881784 | + | 1.52729i | −0.0324277 | + | 0.999474i | \(0.510324\pi\) |
−0.849356 | + | 0.527820i | \(0.823009\pi\) | |||||||
\(432\) | 1.75572 | + | 3.04100i | 0.0844722 | + | 0.146310i | ||||
\(433\) | −18.0047 | −0.865252 | −0.432626 | − | 0.901574i | \(-0.642413\pi\) | ||||
−0.432626 | + | 0.901574i | \(0.642413\pi\) | |||||||
\(434\) | 4.31598 | − | 2.00540i | 0.207174 | − | 0.0962622i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 3.10708 | + | 5.38163i | 0.148802 | + | 0.257733i | ||||
\(437\) | −6.32538 | + | 10.9559i | −0.302584 | + | 0.524090i | ||||
\(438\) | −0.338358 | + | 0.586053i | −0.0161674 | + | 0.0280027i | ||||
\(439\) | 9.68731 | + | 16.7789i | 0.462350 | + | 0.800814i | 0.999078 | − | 0.0429418i | \(-0.0136730\pi\) |
−0.536727 | + | 0.843756i | \(0.680340\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −6.89031 | − | 1.23437i | −0.328110 | − | 0.0587796i | ||||
\(442\) | 7.24881 | 0.344791 | ||||||||
\(443\) | 8.22121 | + | 14.2396i | 0.390602 | + | 0.676542i | 0.992529 | − | 0.122009i | \(-0.0389337\pi\) |
−0.601927 | + | 0.798551i | \(0.705600\pi\) | |||||||
\(444\) | −7.43556 | + | 12.8788i | −0.352876 | + | 0.611199i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 1.13020 | + | 1.95756i | 0.0535164 | + | 0.0926931i | ||||
\(447\) | −11.3700 | −0.537785 | ||||||||
\(448\) | −14.6030 | + | 6.78520i | −0.689926 | + | 0.320571i | ||||
\(449\) | −32.7245 | −1.54436 | −0.772182 | − | 0.635401i | \(-0.780835\pi\) | ||||
−0.772182 | + | 0.635401i | \(0.780835\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.116880 | − | 0.202441i | 0.00550365 | − | 0.00953259i | ||||
\(452\) | 12.1381 | − | 21.0239i | 0.570930 | − | 0.988880i | ||||
\(453\) | 4.47016 | + | 7.74255i | 0.210027 | + | 0.363777i | ||||
\(454\) | −2.57989 | −0.121080 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 1.86542 | 0.0873561 | ||||||||
\(457\) | 18.7152 | + | 32.4156i | 0.875459 | + | 1.51634i | 0.856273 | + | 0.516523i | \(0.172774\pi\) |
0.0191857 | + | 0.999816i | \(0.493893\pi\) | |||||||
\(458\) | −0.730712 | + | 1.26563i | −0.0341439 | + | 0.0591390i | ||||
\(459\) | 2.77377 | − | 4.80431i | 0.129469 | − | 0.224246i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 28.3604 | 1.32088 | 0.660438 | − | 0.750881i | \(-0.270371\pi\) | ||||
0.660438 | + | 0.750881i | \(0.270371\pi\) | |||||||
\(462\) | 0.224109 | − | 2.52189i | 0.0104265 | − | 0.117329i | ||||
\(463\) | −7.20833 | −0.334999 | −0.167500 | − | 0.985872i | \(-0.553569\pi\) | ||||
−0.167500 | + | 0.985872i | \(0.553569\pi\) | |||||||
\(464\) | 0.208329 | + | 0.360836i | 0.00967143 | + | 0.0167514i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 3.13458 | − | 5.42926i | 0.145207 | − | 0.251506i | ||||
\(467\) | −6.03950 | − | 10.4607i | −0.279475 | − | 0.484065i | 0.691779 | − | 0.722109i | \(-0.256827\pi\) |
−0.971254 | + | 0.238044i | \(0.923494\pi\) | |||||||
\(468\) | 8.71963 | 0.403065 | ||||||||
\(469\) | −0.711033 | + | 8.00122i | −0.0328325 | + | 0.369462i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −1.67316 | − | 2.89800i | −0.0770952 | − | 0.133533i | ||||
\(472\) | 0.917438 | − | 1.58905i | 0.0422285 | − | 0.0731419i | ||||
\(473\) | 4.87871 | − | 8.45018i | 0.224323 | − | 0.388540i | ||||
\(474\) | 1.71544 | + | 2.97123i | 0.0787929 | + | 0.136473i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 23.0313 | + | 16.1737i | 1.05564 | + | 0.741319i | ||||
\(477\) | 0.739795 | 0.0338729 | ||||||||
\(478\) | 1.07019 | + | 1.85362i | 0.0489493 | + | 0.0847827i | ||||
\(479\) | −10.0708 | + | 17.4432i | −0.460149 | + | 0.797001i | −0.998968 | − | 0.0454204i | \(-0.985537\pi\) |
0.538819 | + | 0.842421i | \(0.318871\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 17.6347 | + | 30.5443i | 0.804075 | + | 1.39270i | ||||
\(482\) | 6.94657 | 0.316408 | ||||||||
\(483\) | 18.3161 | − | 8.51050i | 0.833413 | − | 0.387241i | ||||
\(484\) | −0.175495 | −0.00797705 | ||||||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −0.143668 | + | 0.248840i | −0.00651691 | + | 0.0112876i | ||||
\(487\) | 19.9698 | − | 34.5887i | 0.904919 | − | 1.56737i | 0.0838930 | − | 0.996475i | \(-0.473265\pi\) |
0.821026 | − | 0.570891i | \(-0.193402\pi\) | |||||||
\(488\) | 4.11866 | + | 7.13372i | 0.186443 | + | 0.322928i | ||||
\(489\) | −15.7559 | −0.712505 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −31.5989 | −1.42604 | −0.713019 | − | 0.701145i | \(-0.752673\pi\) | ||||
−0.713019 | + | 0.701145i | \(0.752673\pi\) | |||||||
\(492\) | −0.0672922 | − | 0.116553i | −0.00303376 | − | 0.00525463i | ||||
\(493\) | 0.329127 | − | 0.570066i | 0.0148232 | − | 0.0256745i | ||||
\(494\) | 1.08273 | − | 1.87534i | 0.0487143 | − | 0.0843757i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −21.9824 | −0.987037 | ||||||||
\(497\) | −9.04686 | + | 4.20358i | −0.405807 | + | 0.188556i | ||||
\(498\) | 0.351730 | 0.0157614 | ||||||||
\(499\) | −19.8929 | − | 34.4556i | −0.890530 | − | 1.54244i | −0.839241 | − | 0.543759i | \(-0.817000\pi\) |
−0.0512890 | − | 0.998684i | \(-0.516333\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −11.2971 | + | 19.5671i | −0.504716 | + | 0.874194i | ||||
\(502\) | 0.862295 | + | 1.49354i | 0.0384861 | + | 0.0666599i | ||||
\(503\) | −12.8734 | −0.573995 | −0.286997 | − | 0.957931i | \(-0.592657\pi\) | ||||
−0.286997 | + | 0.957931i | \(0.592657\pi\) | |||||||
\(504\) | −2.43719 | − | 1.71151i | −0.108561 | − | 0.0762365i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 3.65248 | + | 6.32628i | 0.162373 | + | 0.281238i | ||||
\(507\) | 3.84006 | − | 6.65118i | 0.170543 | − | 0.295389i | ||||
\(508\) | 15.8644 | − | 27.4780i | 0.703871 | − | 1.21914i | ||||
\(509\) | −16.6981 | − | 28.9219i | −0.740128 | − | 1.28194i | −0.952437 | − | 0.304737i | \(-0.901431\pi\) |
0.212308 | − | 0.977203i | \(-0.431902\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −0.551558 | + | 6.20665i | −0.0243995 | + | 0.274566i | ||||
\(512\) | −19.3531 | −0.855296 | ||||||||
\(513\) | −0.828617 | − | 1.43521i | −0.0365843 | − | 0.0633659i | ||||
\(514\) | 1.05365 | − | 1.82498i | 0.0464746 | − | 0.0804965i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −2.80887 | − | 4.86510i | −0.123653 | − | 0.214174i | ||||
\(517\) | 21.2673 | 0.935335 | ||||||||
\(518\) | 0.521899 | − | 5.87290i | 0.0229309 | − | 0.258041i | ||||
\(519\) | −8.52620 | −0.374259 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −6.77589 | + | 11.7362i | −0.296857 | + | 0.514172i | −0.975415 | − | 0.220375i | \(-0.929272\pi\) |
0.678558 | + | 0.734547i | \(0.262605\pi\) | |||||||
\(522\) | −0.0170472 | + | 0.0295266i | −0.000746136 | + | 0.00129235i | ||||
\(523\) | −10.1066 | − | 17.5052i | −0.441933 | − | 0.765450i | 0.555900 | − | 0.831249i | \(-0.312374\pi\) |
−0.997833 | + | 0.0657991i | \(0.979040\pi\) | |||||||
\(524\) | 10.1583 | 0.443768 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −2.72616 | −0.118866 | ||||||||
\(527\) | 17.3644 | + | 30.0760i | 0.756404 | + | 1.31013i | ||||
\(528\) | −5.84725 | + | 10.1277i | −0.254469 | + | 0.440753i | ||||
\(529\) | −17.6364 | + | 30.5471i | −0.766798 | + | 1.32813i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −1.63010 | −0.0707404 | ||||||||
\(532\) | 7.62441 | − | 3.54264i | 0.330560 | − | 0.153593i | ||||
\(533\) | −0.319190 | −0.0138257 | ||||||||
\(534\) | 1.86770 | + | 3.23496i | 0.0808235 | + | 0.139990i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −1.70875 | + | 2.95963i | −0.0738066 | + | 0.127837i | ||||
\(537\) | −5.89031 | − | 10.2023i | −0.254186 | − | 0.440262i | ||||
\(538\) | −4.61130 | −0.198807 | ||||||||
\(539\) | −7.91354 | − | 21.9285i | −0.340860 | − | 0.944529i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 16.4854 | + | 28.5535i | 0.708762 | + | 1.22761i | 0.965317 | + | 0.261082i | \(0.0840794\pi\) |
−0.256554 | + | 0.966530i | \(0.582587\pi\) | |||||||
\(542\) | 3.47231 | − | 6.01421i | 0.149148 | − | 0.258332i | ||||
\(543\) | 4.54484 | − | 7.87189i | 0.195038 | − | 0.337815i | ||||
\(544\) | 9.04306 | + | 15.6630i | 0.387718 | + | 0.671547i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −3.13521 | + | 1.45676i | −0.134175 | + | 0.0623437i | ||||
\(547\) | −24.6221 | −1.05277 | −0.526383 | − | 0.850248i | \(-0.676452\pi\) | ||||
−0.526383 | + | 0.850248i | \(0.676452\pi\) | |||||||
\(548\) | 14.2563 | + | 24.6926i | 0.608998 | + | 1.05482i | ||||
\(549\) | 3.65901 | − | 6.33759i | 0.156163 | − | 0.270482i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −0.0983213 | − | 0.170297i | −0.00418863 | − | 0.00725491i | ||||
\(552\) | 8.59260 | 0.365725 | ||||||||
\(553\) | 25.8532 | + | 18.1553i | 1.09939 | + | 0.772041i | ||||
\(554\) | −6.67127 | −0.283435 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −9.12399 | + | 15.8032i | −0.386943 | + | 0.670206i | ||||
\(557\) | −11.9971 | + | 20.7796i | −0.508334 | + | 0.880460i | 0.491620 | + | 0.870810i | \(0.336405\pi\) |
−0.999953 | + | 0.00964963i | \(0.996928\pi\) | |||||||
\(558\) | −0.899391 | − | 1.55779i | −0.0380742 | − | 0.0659465i | ||||
\(559\) | −13.3234 | −0.563521 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 18.4755 | 0.780036 | ||||||||
\(562\) | 1.78826 | + | 3.09736i | 0.0754333 | + | 0.130654i | ||||
\(563\) | −0.113248 | + | 0.196151i | −0.00477284 | + | 0.00826680i | −0.868402 | − | 0.495861i | \(-0.834853\pi\) |
0.863629 | + | 0.504128i | \(0.168186\pi\) | |||||||
\(564\) | 6.12221 | − | 10.6040i | 0.257792 | − | 0.446508i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 2.49056 | 0.104686 | ||||||||
\(567\) | −0.234193 | + | 2.63537i | −0.00983520 | + | 0.110675i | ||||
\(568\) | −4.24413 | −0.178080 | ||||||||
\(569\) | 6.40275 | + | 11.0899i | 0.268417 | + | 0.464912i | 0.968453 | − | 0.249195i | \(-0.0801660\pi\) |
−0.700036 | + | 0.714108i | \(0.746833\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 0.780149 | − | 1.35126i | 0.0326482 | − | 0.0565484i | −0.849240 | − | 0.528008i | \(-0.822939\pi\) |
0.881888 | + | 0.471459i | \(0.156273\pi\) | |||||||
\(572\) | 14.5199 | + | 25.1492i | 0.607107 | + | 1.05154i | ||||
\(573\) | −20.4957 | −0.856219 | ||||||||
\(574\) | 0.0436677 | + | 0.0306655i | 0.00182265 | + | 0.00127995i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 3.04306 | + | 5.27073i | 0.126794 | + | 0.219614i | ||||
\(577\) | 21.8249 | − | 37.8018i | 0.908581 | − | 1.57371i | 0.0925443 | − | 0.995709i | \(-0.470500\pi\) |
0.816037 | − | 0.578000i | \(-0.196167\pi\) | |||||||
\(578\) | 1.97905 | − | 3.42782i | 0.0823178 | − | 0.142579i | ||||
\(579\) | 4.27148 | + | 7.39842i | 0.177517 | + | 0.307468i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 2.93712 | − | 1.36472i | 0.121852 | − | 0.0566180i | ||||
\(582\) | −0.874380 | −0.0362442 | ||||||||
\(583\) | 1.23191 | + | 2.13372i | 0.0510203 | + | 0.0883697i | ||||
\(584\) | −1.32550 | + | 2.29583i | −0.0548494 | + | 0.0950020i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −3.87994 | − | 6.72025i | −0.160279 | − | 0.277611i | ||||
\(587\) | −13.6961 | −0.565297 | −0.282648 | − | 0.959224i | \(-0.591213\pi\) | ||||
−0.282648 | + | 0.959224i | \(0.591213\pi\) | |||||||
\(588\) | −13.2117 | − | 2.36683i | −0.544843 | − | 0.0976064i | ||||
\(589\) | 10.3746 | 0.427479 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 6.90429 | − | 11.9586i | 0.284004 | − | 0.491910i | ||||
\(592\) | −13.6169 | + | 23.5852i | −0.559651 | + | 0.969344i | ||||
\(593\) | 4.57745 | + | 7.92838i | 0.187973 | + | 0.325579i | 0.944574 | − | 0.328297i | \(-0.106475\pi\) |
−0.756601 | + | 0.653877i | \(0.773141\pi\) | |||||||
\(594\) | −0.956942 | −0.0392638 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −21.8014 | −0.893018 | ||||||||
\(597\) | 1.89549 | + | 3.28309i | 0.0775773 | + | 0.134368i | ||||
\(598\) | 4.98734 | − | 8.63833i | 0.203948 | − | 0.353247i | ||||
\(599\) | −20.1368 | + | 34.8780i | −0.822767 | + | 1.42507i | 0.0808467 | + | 0.996727i | \(0.474238\pi\) |
−0.903614 | + | 0.428348i | \(0.859096\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −8.82450 | −0.359959 | −0.179980 | − | 0.983670i | \(-0.557603\pi\) | ||||
−0.179980 | + | 0.983670i | \(0.557603\pi\) | |||||||
\(602\) | 1.82275 | + | 1.28002i | 0.0742897 | + | 0.0521696i | ||||
\(603\) | 3.03610 | 0.123639 | ||||||||
\(604\) | 8.57126 | + | 14.8459i | 0.348760 | + | 0.604070i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −2.30438 | + | 3.99131i | −0.0936092 | + | 0.162136i | ||||
\(607\) | −14.0532 | − | 24.3409i | −0.570402 | − | 0.987966i | −0.996524 | − | 0.0833003i | \(-0.973454\pi\) |
0.426122 | − | 0.904666i | \(-0.359879\pi\) | |||||||
\(608\) | 5.40292 | 0.219117 | ||||||||
\(609\) | −0.0277887 | + | 0.312705i | −0.00112606 | + | 0.0126714i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −14.5199 | − | 25.1492i | −0.587412 | − | 1.01743i | ||||
\(612\) | 5.31853 | − | 9.21197i | 0.214989 | − | 0.372372i | ||||
\(613\) | 1.05670 | − | 1.83025i | 0.0426796 | − | 0.0739232i | −0.843896 | − | 0.536506i | \(-0.819744\pi\) |
0.886576 | + | 0.462583i | \(0.153077\pi\) | |||||||
\(614\) | 0.322795 | + | 0.559097i | 0.0130269 | + | 0.0225633i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0.877935 | − | 9.87935i | 0.0353730 | − | 0.398050i | ||||
\(617\) | 18.0390 | 0.726221 | 0.363111 | − | 0.931746i | \(-0.381715\pi\) | ||||
0.363111 | + | 0.931746i | \(0.381715\pi\) | |||||||
\(618\) | −0.760278 | − | 1.31684i | −0.0305829 | − | 0.0529711i | ||||
\(619\) | 7.31895 | − | 12.6768i | 0.294173 | − | 0.509523i | −0.680619 | − | 0.732638i | \(-0.738289\pi\) |
0.974792 | + | 0.223114i | \(0.0716223\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −3.81683 | − | 6.61094i | −0.153164 | − | 0.265288i | ||||
\(622\) | −8.21744 | −0.329489 | ||||||||
\(623\) | 28.1479 | + | 19.7667i | 1.12772 | + | 0.791937i | ||||
\(624\) | 15.9684 | 0.639249 | ||||||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −1.91488 | + | 3.31668i | −0.0765341 | + | 0.132561i | ||||
\(627\) | 2.75962 | − | 4.77980i | 0.110209 | − | 0.190887i | ||||
\(628\) | −3.20818 | − | 5.55673i | −0.128020 | − | 0.221738i | ||||
\(629\) | 43.0252 | 1.71553 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 12.1251 | 0.482692 | 0.241346 | − | 0.970439i | \(-0.422411\pi\) | ||||
0.241346 | + | 0.970439i | \(0.422411\pi\) | |||||||
\(632\) | 6.72014 | + | 11.6396i | 0.267313 | + | 0.462999i | ||||
\(633\) | −0.0572082 | + | 0.0990874i | −0.00227382 | + | 0.00393837i | ||||
\(634\) | 4.19403 | − | 7.26428i | 0.166566 | − | 0.288501i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 1.41851 | 0.0562477 | ||||||||
\(637\) | −20.5283 | + | 24.3293i | −0.813360 | + | 0.963963i | ||||
\(638\) | −0.113548 | −0.00449540 | ||||||||
\(639\) | 1.88524 | + | 3.26533i | 0.0745790 | + | 0.129175i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 6.52024 | − | 11.2934i | 0.257534 | − | 0.446062i | −0.708047 | − | 0.706166i | \(-0.750423\pi\) |
0.965581 | + | 0.260104i | \(0.0837567\pi\) | |||||||
\(642\) | −0.741573 | − | 1.28444i | −0.0292675 | − | 0.0506929i | ||||
\(643\) | 27.0185 | 1.06550 | 0.532752 | − | 0.846271i | \(-0.321158\pi\) | ||||
0.532752 | + | 0.846271i | \(0.321158\pi\) | |||||||
\(644\) | 35.1200 | − | 16.3184i | 1.38392 | − | 0.643033i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −1.32082 | − | 2.28773i | −0.0519670 | − | 0.0900095i | ||||
\(647\) | 17.4895 | − | 30.2927i | 0.687582 | − | 1.19093i | −0.285035 | − | 0.958517i | \(-0.592005\pi\) |
0.972618 | − | 0.232411i | \(-0.0746613\pi\) | |||||||
\(648\) | −0.562810 | + | 0.974816i | −0.0221093 | + | 0.0382944i | ||||
\(649\) | −2.71444 | − | 4.70155i | −0.106551 | − | 0.184552i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −13.5546 | − | 9.51864i | −0.531246 | − | 0.373065i | ||||
\(652\) | −30.2109 | −1.18315 | ||||||||
\(653\) | −16.1755 | − | 28.0168i | −0.632997 | − | 1.09638i | −0.986936 | − | 0.161114i | \(-0.948491\pi\) |
0.353939 | − | 0.935269i | \(-0.384842\pi\) | |||||||
\(654\) | −0.465609 | + | 0.806458i | −0.0182067 | + | 0.0315350i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −0.123234 | − | 0.213447i | −0.00481146 | − | 0.00833370i | ||||
\(657\) | 2.35514 | 0.0918827 | ||||||||
\(658\) | −0.429716 | + | 4.83557i | −0.0167521 | + | 0.188510i | ||||
\(659\) | 8.54282 | 0.332781 | 0.166390 | − | 0.986060i | \(-0.446789\pi\) | ||||
0.166390 | + | 0.986060i | \(0.446789\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 15.1715 | − | 26.2779i | 0.590104 | − | 1.02209i | −0.404114 | − | 0.914709i | \(-0.632420\pi\) |
0.994218 | − | 0.107382i | \(-0.0342467\pi\) | |||||||
\(662\) | −3.57611 | + | 6.19400i | −0.138989 | + | 0.240737i | ||||
\(663\) | −12.6138 | − | 21.8478i | −0.489881 | − | 0.848498i | ||||
\(664\) | 1.37788 | 0.0534722 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −2.22850 | −0.0863525 | ||||||||
\(667\) | −0.452894 | − | 0.784435i | −0.0175361 | − | 0.0303734i | ||||
\(668\) | −21.6614 | + | 37.5187i | −0.838107 | + | 1.45164i | ||||
\(669\) | 3.93337 | − | 6.81279i | 0.152073 | − | 0.263398i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 24.3719 | 0.940867 | ||||||||
\(672\) | −7.05899 | − | 4.95714i | −0.272306 | − | 0.191226i | ||||
\(673\) | −40.5075 | −1.56145 | −0.780725 | − | 0.624875i | \(-0.785150\pi\) | ||||
−0.780725 | + | 0.624875i | \(0.785150\pi\) | |||||||
\(674\) | 0.679059 | + | 1.17617i | 0.0261564 | + | 0.0453042i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 7.36308 | − | 12.7532i | 0.283195 | − | 0.490509i | ||||
\(677\) | −11.7105 | − | 20.2833i | −0.450073 | − | 0.779549i | 0.548317 | − | 0.836270i | \(-0.315269\pi\) |
−0.998390 | + | 0.0567215i | \(0.981935\pi\) | |||||||
\(678\) | 3.63790 | 0.139713 | ||||||||
\(679\) | −7.30149 | + | 3.39260i | −0.280205 | + | 0.130196i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 4.48933 | + | 7.77575i | 0.172032 | + | 0.297967i | ||||
\(682\) | 2.99533 | − | 5.18806i | 0.114697 | − | 0.198661i | ||||
\(683\) | −25.5124 | + | 44.1887i | −0.976204 | + | 1.69083i | −0.300299 | + | 0.953845i | \(0.597087\pi\) |
−0.675904 | + | 0.736989i | \(0.736247\pi\) | |||||||
\(684\) | −1.58882 | − | 2.75192i | −0.0607501 | − | 0.105222i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 5.14581 | − | 1.35623i | 0.196468 | − | 0.0517812i | ||||
\(687\) | 5.08612 | 0.194047 | ||||||||
\(688\) | −5.14393 | − | 8.90956i | −0.196111 | − | 0.339674i | ||||
\(689\) | 1.68212 | − | 2.91353i | 0.0640838 | − | 0.110996i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −12.3057 | − | 21.3142i | −0.468133 | − | 0.810829i | 0.531204 | − | 0.847244i | \(-0.321740\pi\) |
−0.999337 | + | 0.0364144i | \(0.988406\pi\) | |||||||
\(692\) | −16.3485 | −0.621476 | ||||||||
\(693\) | −7.99092 | + | 3.71294i | −0.303550 | + | 0.141043i | ||||
\(694\) | 4.06819 | 0.154426 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | −0.0667814 | + | 0.115669i | −0.00253134 | + | 0.00438441i | ||||
\(697\) | −0.194690 | + | 0.337213i | −0.00737441 | + | 0.0127728i | ||||
\(698\) | 0.725422 | + | 1.25647i | 0.0274576 | + | 0.0475580i | ||||
\(699\) | −21.8183 | −0.825243 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 25.7244 | 0.971595 | 0.485798 | − | 0.874071i | \(-0.338529\pi\) | ||||
0.485798 | + | 0.874071i | \(0.338529\pi\) | |||||||
\(702\) | 0.653336 | + | 1.13161i | 0.0246586 | + | 0.0427099i | ||||
\(703\) | 6.42652 | − | 11.1311i | 0.242381 | − | 0.419816i | ||||
\(704\) | −10.1346 | + | 17.5536i | −0.381962 | + | 0.661577i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 4.62567 | 0.174089 | ||||||||
\(707\) | −3.75638 | + | 42.2703i | −0.141273 | + | 1.58974i | ||||
\(708\) | −3.12562 | −0.117468 | ||||||||
\(709\) | −5.85482 | − | 10.1408i | −0.219882 | − | 0.380848i | 0.734889 | − | 0.678187i | \(-0.237234\pi\) |
−0.954772 | + | 0.297339i | \(0.903901\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 5.97016 | − | 10.3406i | 0.223899 | − | 0.387804i | ||||
\(712\) | 7.31661 | + | 12.6727i | 0.274202 | + | 0.474931i | ||||
\(713\) | 47.7883 | 1.78968 | ||||||||
\(714\) | −0.373306 | + | 4.20079i | −0.0139706 | + | 0.157211i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −11.2943 | − | 19.5623i | −0.422088 | − | 0.731077i | ||||
\(717\) | 3.72453 | − | 6.45107i | 0.139095 | − | 0.240920i | ||||
\(718\) | 0.0440317 | − | 0.0762651i | 0.00164325 | − | 0.00284619i | ||||
\(719\) | 6.16037 | + | 10.6701i | 0.229743 | + | 0.397927i | 0.957732 | − | 0.287662i | \(-0.0928781\pi\) |
−0.727989 | + | 0.685589i | \(0.759545\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −11.4580 | − | 8.04635i | −0.426719 | − | 0.299662i | ||||
\(722\) | 4.67023 | 0.173808 | ||||||||
\(723\) | −12.0879 | − | 20.9368i | −0.449554 | − | 0.778650i | ||||
\(724\) | 8.71444 | − | 15.0939i | 0.323870 | − | 0.560959i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −0.0131493 | − | 0.0227753i | −0.000488017 | − | 0.000845271i | ||||
\(727\) | −17.6540 | −0.654751 | −0.327376 | − | 0.944894i | \(-0.606164\pi\) | ||||
−0.327376 | + | 0.944894i | \(0.606164\pi\) | |||||||
\(728\) | −12.2820 | + | 5.70678i | −0.455202 | + | 0.211507i | ||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −8.12662 | + | 14.0757i | −0.300574 | + | 0.520609i | ||||
\(732\) | 7.01593 | − | 12.1519i | 0.259316 | − | 0.449149i | ||||
\(733\) | −5.01795 | − | 8.69135i | −0.185342 | − | 0.321022i | 0.758349 | − | 0.651848i | \(-0.226006\pi\) |
−0.943692 | + | 0.330826i | \(0.892673\pi\) | |||||||
\(734\) | −6.79541 | −0.250823 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 24.8873 | 0.917357 | ||||||||
\(737\) | 5.05570 | + | 8.75672i | 0.186229 | + | 0.322558i | ||||
\(738\) | 0.0100840 | − | 0.0174660i | 0.000371197 | − | 0.000642932i | ||||
\(739\) | 15.5360 | − | 26.9092i | 0.571502 | − | 0.989870i | −0.424910 | − | 0.905235i | \(-0.639694\pi\) |
0.996412 | − | 0.0846345i | \(-0.0269723\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −7.53634 | −0.276854 | ||||||||
\(742\) | −0.510038 | + | 0.236987i | −0.0187241 | + | 0.00870005i | ||||
\(743\) | −4.04189 | −0.148283 | −0.0741413 | − | 0.997248i | \(-0.523622\pi\) | ||||
−0.0741413 | + | 0.997248i | \(0.523622\pi\) | |||||||
\(744\) | −3.52331 | − | 6.10255i | −0.129171 | − | 0.223730i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −2.70638 | + | 4.68759i | −0.0990876 | + | 0.171625i | ||||
\(747\) | −0.612055 | − | 1.06011i | −0.0223939 | − | 0.0387874i | ||||
\(748\) | 35.4256 | 1.29529 | ||||||||
\(749\) | −11.1761 | − | 7.84839i | −0.408367 | − | 0.286774i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −7.34725 | − | 12.7258i | −0.268105 | − | 0.464371i | 0.700268 | − | 0.713881i | \(-0.253064\pi\) |
−0.968372 | + | 0.249509i | \(0.919731\pi\) | |||||||
\(752\) | 11.2117 | − | 19.4193i | 0.408850 | − | 0.708149i | ||||
\(753\) | 3.00100 | − | 5.19789i | 0.109363 | − | 0.189421i | ||||
\(754\) | 0.0775229 | + | 0.134274i | 0.00282322 | + | 0.00488996i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −0.449051 | + | 5.05315i | −0.0163318 | + | 0.183781i | ||||
\(757\) | −29.6087 | −1.07615 | −0.538073 | − | 0.842898i | \(-0.680847\pi\) | ||||
−0.538073 | + | 0.842898i | \(0.680847\pi\) | |||||||
\(758\) | 2.04775 | + | 3.54681i | 0.0743778 | + | 0.128826i | ||||
\(759\) | 12.7115 | − | 22.0170i | 0.461400 | − | 0.799168i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 7.12611 | + | 12.3428i | 0.258321 | + | 0.447426i | 0.965792 | − | 0.259317i | \(-0.0834974\pi\) |
−0.707471 | + | 0.706742i | \(0.750164\pi\) | |||||||
\(762\) | 4.75470 | 0.172245 | ||||||||
\(763\) | −0.758990 | + | 8.54088i | −0.0274773 | + | 0.309200i | ||||
\(764\) | −39.2992 | −1.42179 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 3.59980 | − | 6.23504i | 0.130066 | − | 0.225281i | ||||
\(767\) | −3.70648 | + | 6.41981i | −0.133833 | + | 0.231806i | ||||
\(768\) | 4.89810 | + | 8.48376i | 0.176745 | + | 0.306131i | ||||
\(769\) | −20.6367 | −0.744178 | −0.372089 | − | 0.928197i | \(-0.621358\pi\) | ||||
−0.372089 | + | 0.928197i | \(0.621358\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −7.33395 | −0.264126 | ||||||||
\(772\) | 8.19030 | + | 14.1860i | 0.294775 | + | 0.510566i | ||||
\(773\) | 21.2800 | − | 36.8580i | 0.765387 | − | 1.32569i | −0.174655 | − | 0.984630i | \(-0.555881\pi\) |
0.940042 | − | 0.341059i | \(-0.110786\pi\) | |||||||
\(774\) | 0.420920 | − | 0.729054i | 0.0151296 | − | 0.0262053i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −3.42533 | −0.122962 | ||||||||
\(777\) | −18.6090 | + | 8.64659i | −0.667594 | + | 0.310195i | ||||
\(778\) | 3.87093 | 0.138780 | ||||||||
\(779\) | 0.0581603 | + | 0.100737i | 0.00208381 | + | 0.00360926i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −6.27860 | + | 10.8748i | −0.224666 | + | 0.389133i | ||||
\(782\) | −6.08405 | − | 10.5379i | −0.217565 | − | 0.376834i | ||||
\(783\) | 0.118657 | 0.00424046 | ||||||||
\(784\) | −24.1949 | − | 4.33442i | −0.864105 | − | 0.154801i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 0.761132 | + | 1.31832i | 0.0271487 | + | 0.0470229i | ||||
\(787\) | 12.5996 | − | 21.8231i | 0.449126 | − | 0.777909i | −0.549203 | − | 0.835689i | \(-0.685069\pi\) |
0.998329 | + | 0.0577798i | \(0.0184021\pi\) | |||||||
\(788\) | 13.2385 | − | 22.9298i | 0.471604 | − | 0.816842i | ||||
\(789\) | 4.74386 | + | 8.21661i | 0.168886 | + | 0.292519i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 30.3782 | − | 14.1151i | 1.08012 | − | 0.501874i | ||||
\(792\) | −3.74876 | −0.133206 | ||||||||
\(793\) | −16.6395 | − | 28.8205i | −0.590886 | − | 1.02344i | ||||
\(794\) | 2.65044 | − | 4.59069i | 0.0940605 | − | 0.162918i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 3.63449 | + | 6.29512i | 0.128821 | + | 0.223125i | ||||
\(797\) | 51.7211 | 1.83205 | 0.916027 | − | 0.401116i | \(-0.131377\pi\) | ||||
0.916027 | + | 0.401116i | \(0.131377\pi\) | |||||||
\(798\) | 1.03103 | + | 0.724036i | 0.0364980 | + | 0.0256306i | ||||
\(799\) | −35.4256 | −1.25327 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 6.50007 | − | 11.2585i | 0.229669 | − | 0.397798i | ||||
\(802\) | 3.65182 | − | 6.32515i | 0.128950 | − | 0.223349i | ||||
\(803\) | 3.92177 | + | 6.79271i | 0.138396 | + | 0.239709i | ||||
\(804\) | 5.82152 | 0.205309 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −8.18003 | −0.288129 | ||||||||
\(807\) | 8.02423 | + | 13.8984i | 0.282466 | + | 0.489246i | ||||
\(808\) | −9.02728 | + | 15.6357i | −0.317579 | + | 0.550062i | ||||
\(809\) | 25.8890 | − | 44.8410i | 0.910207 | − | 1.57653i | 0.0964371 | − | 0.995339i | \(-0.469255\pi\) |
0.813770 | − | 0.581187i | \(-0.197411\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 12.0263 | 0.422299 | 0.211149 | − | 0.977454i | \(-0.432279\pi\) | ||||
0.211149 | + | 0.977454i | \(0.432279\pi\) | |||||||
\(812\) | −0.0532831 | + | 0.599592i | −0.00186987 | + | 0.0210416i | ||||
\(813\) | −24.1690 | −0.847643 | ||||||||
\(814\) | −3.71089 | − | 6.42744i | −0.130067 | − | 0.225282i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 9.73994 | − | 16.8701i | 0.340966 | − | 0.590571i | ||||
\(817\) | 2.42769 | + | 4.20488i | 0.0849341 | + | 0.147110i | ||||
\(818\) | 5.38212 | 0.188182 | ||||||||
\(819\) | 9.84632 | + | 6.91454i | 0.344058 | + | 0.241613i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −4.03967 | − | 6.99692i | −0.140985 | − | 0.244194i | 0.786882 | − | 0.617103i | \(-0.211694\pi\) |
−0.927868 | + | 0.372909i | \(0.878360\pi\) | |||||||
\(822\) | −2.13636 | + | 3.70029i | −0.0745142 | + | 0.129062i | ||||
\(823\) | 2.55762 | − | 4.42994i | 0.0891532 | − | 0.154418i | −0.818000 | − | 0.575218i | \(-0.804917\pi\) |
0.907153 | + | 0.420800i | \(0.138251\pi\) | |||||||
\(824\) | −2.97834 | − | 5.15864i | −0.103755 | − | 0.179710i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 1.12384 | − | 0.522188i | 0.0391035 | − | 0.0181693i | ||||
\(827\) | 0.705254 | 0.0245241 | 0.0122620 | − | 0.999925i | \(-0.496097\pi\) | ||||
0.0122620 | + | 0.999925i | \(0.496097\pi\) | |||||||
\(828\) | −7.31853 | − | 12.6761i | −0.254337 | − | 0.440524i | ||||
\(829\) | −12.4790 | + | 21.6143i | −0.433415 | + | 0.750696i | −0.997165 | − | 0.0752491i | \(-0.976025\pi\) |
0.563750 | + | 0.825945i | \(0.309358\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 11.6088 | + | 20.1071i | 0.402706 | + | 0.697508i | ||||
\(832\) | 27.6769 | 0.959523 | ||||||||
\(833\) | 13.1818 | + | 36.5270i | 0.456723 | + | 1.26559i | ||||
\(834\) | −2.73453 | −0.0946891 | ||||||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 5.29140 | − | 9.16498i | 0.183007 | − | 0.316977i | ||||
\(837\) | −3.13010 | + | 5.42150i | −0.108192 | + | 0.187394i | ||||
\(838\) | 0.294152 | + | 0.509487i | 0.0101613 | + | 0.0175999i | ||||
\(839\) | −11.6389 | −0.401819 | −0.200909 | − | 0.979610i | \(-0.564390\pi\) | ||||
−0.200909 | + | 0.979610i | \(0.564390\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −28.9859 | −0.999514 | ||||||||
\(842\) | −2.30604 | − | 3.99418i | −0.0794714 | − | 0.137649i | ||||
\(843\) | 6.22360 | − | 10.7796i | 0.214352 | − | 0.371269i | ||||
\(844\) | −0.109693 | + | 0.189994i | −0.00377579 | + | 0.00653986i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 1.83488 | 0.0630843 | ||||||||
\(847\) | −0.198172 | − | 0.139165i | −0.00680926 | − | 0.00478177i | ||||
\(848\) | 2.59775 | 0.0892071 | ||||||||
\(849\) | −4.33388 | − | 7.50649i | −0.148738 | − | 0.257622i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 29.6023 | − | 51.2726i | 1.01475 | − | 1.75760i | ||||
\(852\) | 3.61483 | + | 6.26107i | 0.123842 | + | 0.214501i | ||||
\(853\) | −32.5996 | −1.11619 | −0.558094 | − | 0.829778i | \(-0.688467\pi\) | ||||
−0.558094 | + | 0.829778i | \(0.688467\pi\) | |||||||
\(854\) | −0.492445 | + | 5.54146i | −0.0168511 | + | 0.189625i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −2.90507 | − | 5.03172i | −0.0992931 | − | 0.171981i | ||||
\(857\) | 15.8456 | − | 27.4455i | 0.541277 | − | 0.937519i | −0.457554 | − | 0.889182i | \(-0.651274\pi\) |
0.998831 | − | 0.0483371i | \(-0.0153922\pi\) | |||||||
\(858\) | −2.17587 | + | 3.76871i | −0.0742828 | + | 0.128662i | ||||
\(859\) | 21.8456 | + | 37.8377i | 0.745363 | + | 1.29101i | 0.950025 | + | 0.312174i | \(0.101057\pi\) |
−0.204662 | + | 0.978833i | \(0.565610\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0.0164380 | − | 0.184975i | 0.000560204 | − | 0.00630394i | ||||
\(862\) | −10.5201 | −0.358317 | ||||||||
\(863\) | 19.3992 | + | 33.6005i | 0.660358 | + | 1.14377i | 0.980522 | + | 0.196411i | \(0.0629287\pi\) |
−0.320164 | + | 0.947362i | \(0.603738\pi\) | |||||||
\(864\) | −1.63010 | + | 2.82342i | −0.0554572 | + | 0.0960547i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −2.58670 | − | 4.48030i | −0.0878997 | − | 0.152247i | ||||
\(867\) | −13.7752 | −0.467830 | ||||||||
\(868\) | −25.9901 | − | 18.2514i | −0.882160 | − | 0.619493i | ||||
\(869\) | 39.7660 | 1.34897 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 6.90338 | − | 11.9570i | 0.233912 | − | 0.405148i | ||||
\(872\) | −1.82399 | + | 3.15925i | −0.0617682 | + | 0.106986i | ||||
\(873\) | 1.52153 | + | 2.63537i | 0.0514960 | + | 0.0891936i | ||||
\(874\) | −3.63501 | −0.122956 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 4.51583 | 0.152576 | ||||||||
\(877\) | −2.15036 | − | 3.72454i | −0.0726127 | − | 0.125769i | 0.827433 | − | 0.561565i | \(-0.189800\pi\) |
−0.900046 | + | 0.435796i | \(0.856467\pi\) | |||||||
\(878\) | −2.78351 | + | 4.82118i | −0.0939390 | + | 0.162707i | ||||
\(879\) | −13.5031 | + | 23.3881i | −0.455450 | + | 0.788862i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −1.29308 | −0.0435650 | −0.0217825 | − | 0.999763i | \(-0.506934\pi\) | ||||
−0.0217825 | + | 0.999763i | \(0.506934\pi\) | |||||||
\(882\) | −0.682755 | − | 1.89192i | −0.0229896 | − | 0.0637044i | ||||
\(883\) | 1.49533 | 0.0503218 | 0.0251609 | − | 0.999683i | \(-0.491990\pi\) | ||||
0.0251609 | + | 0.999683i | \(0.491990\pi\) | |||||||
\(884\) | −24.1862 | − | 41.8918i | −0.813471 | − | 1.40897i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −2.36225 | + | 4.09153i | −0.0793613 | + | 0.137458i | ||||
\(887\) | −5.04584 | − | 8.73964i | −0.169423 | − | 0.293449i | 0.768794 | − | 0.639496i | \(-0.220857\pi\) |
−0.938217 | + | 0.346047i | \(0.887524\pi\) | |||||||
\(888\) | −8.73000 | −0.292960 | ||||||||
\(889\) | 39.7040 | − | 18.4483i | 1.33163 | − | 0.618736i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 1.66520 | + | 2.88421i | 0.0557862 | + | 0.0966245i | ||||
\(892\) | 7.54198 | − | 13.0631i | 0.252524 | − | 0.437385i | ||||
\(893\) | −5.29140 | + | 9.16498i | −0.177070 | + | 0.306694i | ||||
\(894\) | −1.63351 | − | 2.82932i | −0.0546328 | − | 0.0946267i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −17.9044 | − | 12.5733i | −0.598143 | − | 0.420044i | ||||
\(897\) | −34.7144 | −1.15908 | ||||||||
\(898\) | −4.70146 | − | 8.14317i | −0.156890 | − | 0.271741i | ||||
\(899\) | −0.371409 | + | 0.643299i | −0.0123872 | + | 0.0214552i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −2.05202 | − | 3.55421i | −0.0683628 | − | 0.118408i | ||||
\(902\) | 0.0671674 | 0.00223643 | ||||||||
\(903\) | 0.686142 | − | 7.72112i | 0.0228334 | − | 0.256943i | ||||
\(904\) | 14.2512 | 0.473989 | ||||||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −1.28444 | + | 2.22471i | −0.0426726 | + | 0.0739111i | ||||
\(907\) | −2.13349 | + | 3.69531i | −0.0708414 | + | 0.122701i | −0.899270 | − | 0.437393i | \(-0.855902\pi\) |
0.828429 | + | 0.560094i | \(0.189235\pi\) | |||||||
\(908\) | 8.60802 | + | 14.9095i | 0.285667 | + | 0.494790i | ||||
\(909\) | 16.0397 | 0.532002 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −28.5451 | −0.945742 | −0.472871 | − | 0.881132i | \(-0.656782\pi\) | ||||
−0.472871 | + | 0.881132i | \(0.656782\pi\) | |||||||
\(912\) | −2.90964 | − | 5.03965i | −0.0963479 | − | 0.166879i | ||||
\(913\) | 2.03838 | − | 3.53058i | 0.0674606 | − | 0.116845i | ||||
\(914\) | −5.37754 | + | 9.31417i | −0.177873 | + | 0.308085i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 9.75231 | 0.322226 | ||||||||
\(917\) | 11.4709 | + | 8.05539i | 0.378802 | + | 0.266012i | ||||
\(918\) | 1.59401 | 0.0526101 | ||||||||
\(919\) | 23.2822 | + | 40.3259i | 0.768008 | + | 1.33023i | 0.938642 | + | 0.344894i | \(0.112085\pi\) |
−0.170634 | + | 0.985335i | \(0.554581\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 1.12341 | − | 1.94580i | 0.0370175 | − | 0.0641161i | ||||
\(922\) | 4.07448 | + | 7.05720i | 0.134186 | + | 0.232417i | ||||
\(923\) | 17.1464 | 0.564381 | ||||||||
\(924\) | −15.3221 | + | 7.11934i | −0.504060 | + | 0.234209i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | −1.03561 | − | 1.79372i | −0.0340321 | − | 0.0589453i | ||||
\(927\) | −2.64596 | + | 4.58293i | −0.0869046 | + | 0.150523i | ||||
\(928\) | −0.193423 | + | 0.335019i | −0.00634943 | + | 0.0109975i | ||||
\(929\) | −3.69774 | − | 6.40467i | −0.121319 | − | 0.210130i | 0.798969 | − | 0.601372i | \(-0.205379\pi\) |
−0.920288 | + | 0.391242i | \(0.872046\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 11.4188 | + | 2.04564i | 0.374238 | + | 0.0670432i | ||||
\(932\) | −41.8352 | −1.37036 | ||||||||
\(933\) | 14.2994 | + | 24.7672i | 0.468140 | + | 0.810843i | ||||
\(934\) | 1.73537 | − | 3.00574i | 0.0567829 | − | 0.0983509i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 2.55940 | + | 4.43301i | 0.0836567 | + | 0.144898i | ||||
\(937\) | 44.1988 | 1.44391 | 0.721956 | − | 0.691939i | \(-0.243243\pi\) | ||||
0.721956 | + | 0.691939i | \(0.243243\pi\) | |||||||
\(938\) | −2.09318 | + | 0.972585i | −0.0683447 | + | 0.0317560i | ||||
\(939\) | 13.3285 | 0.434960 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −18.0180 | + | 31.2080i | −0.587369 | + | 1.01735i | 0.407206 | + | 0.913336i | \(0.366503\pi\) |
−0.994576 | + | 0.104017i | \(0.966830\pi\) | |||||||
\(942\) | 0.480759 | − | 0.832699i | 0.0156640 | − | 0.0271308i | ||||
\(943\) | 0.267902 | + | 0.464020i | 0.00872408 | + | 0.0151106i | ||||
\(944\) | −5.72401 | −0.186301 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 2.80366 | 0.0911548 | ||||||||
\(947\) | 17.1170 | + | 29.6476i | 0.556229 | + | 0.963417i | 0.997807 | + | 0.0661943i | \(0.0210857\pi\) |
−0.441577 | + | 0.897223i | \(0.645581\pi\) | |||||||
\(948\) | 11.4474 | − | 19.8275i | 0.371795 | − | 0.643968i | ||||
\(949\) | 5.35504 | − | 9.27521i | 0.173832 | − | 0.301086i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −29.1925 | −0.946633 | ||||||||
\(952\) | −1.46240 | + | 16.4563i | −0.0473967 | + | 0.533353i | ||||
\(953\) | 30.9689 | 1.00318 | 0.501591 | − | 0.865105i | \(-0.332748\pi\) | ||||
0.501591 | + | 0.865105i | \(0.332748\pi\) | |||||||
\(954\) | 0.106285 | + | 0.184091i | 0.00344110 | + | 0.00596016i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 7.14155 | − | 12.3695i | 0.230974 | − | 0.400059i | ||||
\(957\) | 0.197587 | + | 0.342231i | 0.00638709 | + | 0.0110628i | ||||
\(958\) | −5.78743 | −0.186983 | ||||||||
\(959\) | −3.48249 | + | 39.1883i | −0.112455 | + | 1.26545i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −4.09508 | − | 7.09289i | −0.132099 | − | 0.228803i | ||||
\(962\) | −5.06709 | + | 8.77646i | −0.163370 | + | 0.282964i | ||||
\(963\) | −2.58086 | + | 4.47018i | −0.0831670 | + | 0.144049i | ||||
\(964\) | −23.1778 | − | 40.1451i | −0.746506 | − | 1.29299i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 4.74919 | + | 3.33510i | 0.152803 | + | 0.107305i | ||||
\(967\) | 21.0270 | 0.676184 | 0.338092 | − | 0.941113i | \(-0.390218\pi\) | ||||
0.338092 | + | 0.941113i | \(0.390218\pi\) | |||||||
\(968\) | −0.0515117 | − | 0.0892209i | −0.00165565 | − | 0.00286767i | ||||
\(969\) | −4.59678 | + | 7.96187i | −0.147670 | + | 0.255772i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −22.3468 | − | 38.7058i | −0.717144 | − | 1.24213i | −0.962127 | − | 0.272602i | \(-0.912116\pi\) |
0.244983 | − | 0.969527i | \(-0.421218\pi\) | |||||||
\(972\) | 1.91744 | 0.0615019 | ||||||||
\(973\) | −22.8346 | + | 10.6100i | −0.732045 | + | 0.340141i | ||||
\(974\) | 11.4761 | 0.367718 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 12.8484 | − | 22.2541i | 0.411268 | − | 0.712337i | ||||
\(977\) | 7.21858 | − | 12.5029i | 0.230943 | − | 0.400005i | −0.727143 | − | 0.686486i | \(-0.759152\pi\) |
0.958086 | + | 0.286481i | \(0.0924856\pi\) | |||||||
\(978\) | −2.26361 | − | 3.92069i | −0.0723824 | − | 0.125370i | ||||
\(979\) | 43.2956 | 1.38373 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 3.24087 | 0.103473 | ||||||||
\(982\) | −4.53974 | − | 7.86307i | −0.144869 | − | 0.250921i | ||||
\(983\) | 8.39401 | − | 14.5389i | 0.267727 | − | 0.463717i | −0.700547 | − | 0.713606i | \(-0.747061\pi\) |
0.968275 | + | 0.249889i | \(0.0803940\pi\) | |||||||
\(984\) | 0.0395034 | − | 0.0684220i | 0.00125932 | − | 0.00218121i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 0.189140 | 0.00602345 | ||||||||
\(987\) | 15.3221 | − | 7.11934i | 0.487707 | − | 0.226611i | ||||
\(988\) | −14.4505 | −0.459730 | ||||||||
\(989\) | 11.1826 | + | 19.3688i | 0.355585 | + | 0.615892i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −20.0539 | + | 34.7344i | −0.637033 | + | 1.10337i | 0.349048 | + | 0.937105i | \(0.386505\pi\) |
−0.986081 | + | 0.166268i | \(0.946828\pi\) | |||||||
\(992\) | −10.2048 | − | 17.6752i | −0.324002 | − | 0.561188i | ||||
\(993\) | 24.8915 | 0.789907 | ||||||||
\(994\) | −2.34576 | − | 1.64730i | −0.0744031 | − | 0.0522492i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −1.17358 | − | 2.03270i | −0.0371862 | − | 0.0644084i | ||||
\(997\) | −25.6602 | + | 44.4447i | −0.812666 | + | 1.40758i | 0.0983259 | + | 0.995154i | \(0.468651\pi\) |
−0.910992 | + | 0.412424i | \(0.864682\pi\) | |||||||
\(998\) | 5.71595 | − | 9.90032i | 0.180935 | − | 0.313389i | ||||
\(999\) | 3.87786 | + | 6.71665i | 0.122690 | + | 0.212505i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))