Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [722,2,Mod(99,722)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(722, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("722.99");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 722 = 2 \cdot 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 722.e (of order \(9\), degree \(6\), not 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: | \(5.76519902594\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{3} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 38) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 423.1 | ||
Root | \(-0.173648 + 0.984808i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 722.423 |
Dual form | 722.2.e.d.99.1 |
$q$-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 \(\left(\mathbb{Z}/722\mathbb{Z}\right)^\times\).
\(n\) | \(363\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.939693 | − | 0.342020i | 0.664463 | − | 0.241845i | ||||
\(3\) | 0.173648 | − | 0.984808i | 0.100256 | − | 0.568579i | −0.892754 | − | 0.450545i | \(-0.851230\pi\) |
0.993010 | − | 0.118034i | \(-0.0376592\pi\) | |||||||
\(4\) | 0.766044 | − | 0.642788i | 0.383022 | − | 0.321394i | ||||
\(5\) | −3.06418 | − | 2.57115i | −1.37034 | − | 1.14985i | −0.972634 | − | 0.232341i | \(-0.925361\pi\) |
−0.397708 | − | 0.917512i | \(-0.630194\pi\) | |||||||
\(6\) | −0.173648 | − | 0.984808i | −0.0708916 | − | 0.402046i | ||||
\(7\) | −1.50000 | − | 2.59808i | −0.566947 | − | 0.981981i | −0.996866 | − | 0.0791130i | \(-0.974791\pi\) |
0.429919 | − | 0.902867i | \(-0.358542\pi\) | |||||||
\(8\) | 0.500000 | − | 0.866025i | 0.176777 | − | 0.306186i | ||||
\(9\) | 1.87939 | + | 0.684040i | 0.626462 | + | 0.228013i | ||||
\(10\) | −3.75877 | − | 1.36808i | −1.18863 | − | 0.432625i | ||||
\(11\) | −1.00000 | + | 1.73205i | −0.301511 | + | 0.522233i | −0.976478 | − | 0.215615i | \(-0.930824\pi\) |
0.674967 | + | 0.737848i | \(0.264158\pi\) | |||||||
\(12\) | −0.500000 | − | 0.866025i | −0.144338 | − | 0.250000i | ||||
\(13\) | 0.173648 | + | 0.984808i | 0.0481613 | + | 0.273137i | 0.999373 | − | 0.0354021i | \(-0.0112712\pi\) |
−0.951212 | + | 0.308539i | \(0.900160\pi\) | |||||||
\(14\) | −2.29813 | − | 1.92836i | −0.614202 | − | 0.515377i | ||||
\(15\) | −3.06418 | + | 2.57115i | −0.791167 | + | 0.663868i | ||||
\(16\) | 0.173648 | − | 0.984808i | 0.0434120 | − | 0.246202i | ||||
\(17\) | −2.81908 | + | 1.02606i | −0.683727 | + | 0.248856i | −0.660447 | − | 0.750873i | \(-0.729633\pi\) |
−0.0232799 | + | 0.999729i | \(0.507411\pi\) | |||||||
\(18\) | 2.00000 | 0.471405 | ||||||||
\(19\) | 0 | 0 | ||||||||
\(20\) | −4.00000 | −0.894427 | ||||||||
\(21\) | −2.81908 | + | 1.02606i | −0.615173 | + | 0.223905i | ||||
\(22\) | −0.347296 | + | 1.96962i | −0.0740438 | + | 0.419923i | ||||
\(23\) | −0.766044 | + | 0.642788i | −0.159731 | + | 0.134030i | −0.719150 | − | 0.694855i | \(-0.755469\pi\) |
0.559419 | + | 0.828885i | \(0.311024\pi\) | |||||||
\(24\) | −0.766044 | − | 0.642788i | −0.156368 | − | 0.131208i | ||||
\(25\) | 1.91013 | + | 10.8329i | 0.382026 | + | 2.16658i | ||||
\(26\) | 0.500000 | + | 0.866025i | 0.0980581 | + | 0.169842i | ||||
\(27\) | 2.50000 | − | 4.33013i | 0.481125 | − | 0.833333i | ||||
\(28\) | −2.81908 | − | 1.02606i | −0.532756 | − | 0.193907i | ||||
\(29\) | −4.69846 | − | 1.71010i | −0.872483 | − | 0.317558i | −0.133311 | − | 0.991074i | \(-0.542561\pi\) |
−0.739172 | + | 0.673517i | \(0.764783\pi\) | |||||||
\(30\) | −2.00000 | + | 3.46410i | −0.365148 | + | 0.632456i | ||||
\(31\) | −4.00000 | − | 6.92820i | −0.718421 | − | 1.24434i | −0.961625 | − | 0.274367i | \(-0.911532\pi\) |
0.243204 | − | 0.969975i | \(-0.421802\pi\) | |||||||
\(32\) | −0.173648 | − | 0.984808i | −0.0306970 | − | 0.174091i | ||||
\(33\) | 1.53209 | + | 1.28558i | 0.266702 | + | 0.223790i | ||||
\(34\) | −2.29813 | + | 1.92836i | −0.394127 | + | 0.330711i | ||||
\(35\) | −2.08378 | + | 11.8177i | −0.352223 | + | 1.99755i | ||||
\(36\) | 1.87939 | − | 0.684040i | 0.313231 | − | 0.114007i | ||||
\(37\) | 2.00000 | 0.328798 | 0.164399 | − | 0.986394i | \(-0.447432\pi\) | ||||
0.164399 | + | 0.986394i | \(0.447432\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 1.00000 | 0.160128 | ||||||||
\(40\) | −3.75877 | + | 1.36808i | −0.594314 | + | 0.216313i | ||||
\(41\) | 1.38919 | − | 7.87846i | 0.216954 | − | 1.23041i | −0.660529 | − | 0.750801i | \(-0.729668\pi\) |
0.877483 | − | 0.479608i | \(-0.159221\pi\) | |||||||
\(42\) | −2.29813 | + | 1.92836i | −0.354610 | + | 0.297553i | ||||
\(43\) | 3.06418 | + | 2.57115i | 0.467283 | + | 0.392097i | 0.845802 | − | 0.533497i | \(-0.179122\pi\) |
−0.378520 | + | 0.925593i | \(0.623567\pi\) | |||||||
\(44\) | 0.347296 | + | 1.96962i | 0.0523569 | + | 0.296931i | ||||
\(45\) | −4.00000 | − | 6.92820i | −0.596285 | − | 1.03280i | ||||
\(46\) | −0.500000 | + | 0.866025i | −0.0737210 | + | 0.127688i | ||||
\(47\) | −7.51754 | − | 2.73616i | −1.09655 | − | 0.399110i | −0.270504 | − | 0.962719i | \(-0.587190\pi\) |
−0.826042 | + | 0.563609i | \(0.809413\pi\) | |||||||
\(48\) | −0.939693 | − | 0.342020i | −0.135633 | − | 0.0493664i | ||||
\(49\) | −1.00000 | + | 1.73205i | −0.142857 | + | 0.247436i | ||||
\(50\) | 5.50000 | + | 9.52628i | 0.777817 | + | 1.34722i | ||||
\(51\) | 0.520945 | + | 2.95442i | 0.0729468 | + | 0.413702i | ||||
\(52\) | 0.766044 | + | 0.642788i | 0.106231 | + | 0.0891386i | ||||
\(53\) | 0.766044 | − | 0.642788i | 0.105224 | − | 0.0882937i | −0.588658 | − | 0.808382i | \(-0.700343\pi\) |
0.693882 | + | 0.720089i | \(0.255899\pi\) | |||||||
\(54\) | 0.868241 | − | 4.92404i | 0.118153 | − | 0.670077i | ||||
\(55\) | 7.51754 | − | 2.73616i | 1.01367 | − | 0.368944i | ||||
\(56\) | −3.00000 | −0.400892 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −5.00000 | −0.656532 | ||||||||
\(59\) | 14.0954 | − | 5.13030i | 1.83506 | − | 0.667908i | 0.843692 | − | 0.536828i | \(-0.180378\pi\) |
0.991372 | − | 0.131080i | \(-0.0418446\pi\) | |||||||
\(60\) | −0.694593 | + | 3.93923i | −0.0896715 | + | 0.508553i | ||||
\(61\) | 1.53209 | − | 1.28558i | 0.196164 | − | 0.164601i | −0.539415 | − | 0.842040i | \(-0.681355\pi\) |
0.735579 | + | 0.677439i | \(0.236910\pi\) | |||||||
\(62\) | −6.12836 | − | 5.14230i | −0.778302 | − | 0.653073i | ||||
\(63\) | −1.04189 | − | 5.90885i | −0.131266 | − | 0.744445i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 2.00000 | − | 3.46410i | 0.248069 | − | 0.429669i | ||||
\(66\) | 1.87939 | + | 0.684040i | 0.231336 | + | 0.0841995i | ||||
\(67\) | 2.81908 | + | 1.02606i | 0.344405 | + | 0.125353i | 0.508431 | − | 0.861103i | \(-0.330226\pi\) |
−0.164026 | + | 0.986456i | \(0.552448\pi\) | |||||||
\(68\) | −1.50000 | + | 2.59808i | −0.181902 | + | 0.315063i | ||||
\(69\) | 0.500000 | + | 0.866025i | 0.0601929 | + | 0.104257i | ||||
\(70\) | 2.08378 | + | 11.8177i | 0.249059 | + | 1.41248i | ||||
\(71\) | −1.53209 | − | 1.28558i | −0.181825 | − | 0.152570i | 0.547332 | − | 0.836915i | \(-0.315643\pi\) |
−0.729158 | + | 0.684346i | \(0.760088\pi\) | |||||||
\(72\) | 1.53209 | − | 1.28558i | 0.180558 | − | 0.151506i | ||||
\(73\) | 1.56283 | − | 8.86327i | 0.182916 | − | 1.03737i | −0.745688 | − | 0.666295i | \(-0.767879\pi\) |
0.928604 | − | 0.371072i | \(-0.121010\pi\) | |||||||
\(74\) | 1.87939 | − | 0.684040i | 0.218474 | − | 0.0795181i | ||||
\(75\) | 11.0000 | 1.27017 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 6.00000 | 0.683763 | ||||||||
\(78\) | 0.939693 | − | 0.342020i | 0.106399 | − | 0.0387262i | ||||
\(79\) | 1.73648 | − | 9.84808i | 0.195369 | − | 1.10800i | −0.716522 | − | 0.697564i | \(-0.754267\pi\) |
0.911892 | − | 0.410431i | \(-0.134622\pi\) | |||||||
\(80\) | −3.06418 | + | 2.57115i | −0.342585 | + | 0.287463i | ||||
\(81\) | 0.766044 | + | 0.642788i | 0.0851160 | + | 0.0714208i | ||||
\(82\) | −1.38919 | − | 7.87846i | −0.153410 | − | 0.870031i | ||||
\(83\) | 3.00000 | + | 5.19615i | 0.329293 | + | 0.570352i | 0.982372 | − | 0.186938i | \(-0.0598564\pi\) |
−0.653079 | + | 0.757290i | \(0.726523\pi\) | |||||||
\(84\) | −1.50000 | + | 2.59808i | −0.163663 | + | 0.283473i | ||||
\(85\) | 11.2763 | + | 4.10424i | 1.22309 | + | 0.445168i | ||||
\(86\) | 3.75877 | + | 1.36808i | 0.405319 | + | 0.147524i | ||||
\(87\) | −2.50000 | + | 4.33013i | −0.268028 | + | 0.464238i | ||||
\(88\) | 1.00000 | + | 1.73205i | 0.106600 | + | 0.184637i | ||||
\(89\) | 0 | 0 | 0.984808 | − | 0.173648i | \(-0.0555556\pi\) | ||||
−0.984808 | + | 0.173648i | \(0.944444\pi\) | |||||||
\(90\) | −6.12836 | − | 5.14230i | −0.645985 | − | 0.542046i | ||||
\(91\) | 2.29813 | − | 1.92836i | 0.240910 | − | 0.202147i | ||||
\(92\) | −0.173648 | + | 0.984808i | −0.0181041 | + | 0.102673i | ||||
\(93\) | −7.51754 | + | 2.73616i | −0.779533 | + | 0.283727i | ||||
\(94\) | −8.00000 | −0.825137 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −1.00000 | −0.102062 | ||||||||
\(97\) | −1.87939 | + | 0.684040i | −0.190823 | + | 0.0694538i | −0.435664 | − | 0.900109i | \(-0.643486\pi\) |
0.244841 | + | 0.969563i | \(0.421264\pi\) | |||||||
\(98\) | −0.347296 | + | 1.96962i | −0.0350822 | + | 0.198961i | ||||
\(99\) | −3.06418 | + | 2.57115i | −0.307961 | + | 0.258410i | ||||
\(100\) | 8.42649 | + | 7.07066i | 0.842649 | + | 0.707066i | ||||
\(101\) | 0.347296 | + | 1.96962i | 0.0345573 | + | 0.195984i | 0.997199 | − | 0.0747944i | \(-0.0238300\pi\) |
−0.962642 | + | 0.270778i | \(0.912719\pi\) | |||||||
\(102\) | 1.50000 | + | 2.59808i | 0.148522 | + | 0.257248i | ||||
\(103\) | −3.00000 | + | 5.19615i | −0.295599 | + | 0.511992i | −0.975124 | − | 0.221660i | \(-0.928852\pi\) |
0.679525 | + | 0.733652i | \(0.262186\pi\) | |||||||
\(104\) | 0.939693 | + | 0.342020i | 0.0921444 | + | 0.0335378i | ||||
\(105\) | 11.2763 | + | 4.10424i | 1.10046 | + | 0.400533i | ||||
\(106\) | 0.500000 | − | 0.866025i | 0.0485643 | − | 0.0841158i | ||||
\(107\) | −3.50000 | − | 6.06218i | −0.338358 | − | 0.586053i | 0.645766 | − | 0.763535i | \(-0.276538\pi\) |
−0.984124 | + | 0.177482i | \(0.943205\pi\) | |||||||
\(108\) | −0.868241 | − | 4.92404i | −0.0835465 | − | 0.473816i | ||||
\(109\) | 11.4907 | + | 9.64181i | 1.10061 | + | 0.923518i | 0.997466 | − | 0.0711485i | \(-0.0226664\pi\) |
0.103141 | + | 0.994667i | \(0.467111\pi\) | |||||||
\(110\) | 6.12836 | − | 5.14230i | 0.584316 | − | 0.490299i | ||||
\(111\) | 0.347296 | − | 1.96962i | 0.0329639 | − | 0.186948i | ||||
\(112\) | −2.81908 | + | 1.02606i | −0.266378 | + | 0.0969536i | ||||
\(113\) | −14.0000 | −1.31701 | −0.658505 | − | 0.752577i | \(-0.728811\pi\) | ||||
−0.658505 | + | 0.752577i | \(0.728811\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 4.00000 | 0.373002 | ||||||||
\(116\) | −4.69846 | + | 1.71010i | −0.436241 | + | 0.158779i | ||||
\(117\) | −0.347296 | + | 1.96962i | −0.0321076 | + | 0.182091i | ||||
\(118\) | 11.4907 | − | 9.64181i | 1.05780 | − | 0.887601i | ||||
\(119\) | 6.89440 | + | 5.78509i | 0.632009 | + | 0.530318i | ||||
\(120\) | 0.694593 | + | 3.93923i | 0.0634073 | + | 0.359601i | ||||
\(121\) | 3.50000 | + | 6.06218i | 0.318182 | + | 0.551107i | ||||
\(122\) | 1.00000 | − | 1.73205i | 0.0905357 | − | 0.156813i | ||||
\(123\) | −7.51754 | − | 2.73616i | −0.677834 | − | 0.246711i | ||||
\(124\) | −7.51754 | − | 2.73616i | −0.675095 | − | 0.245715i | ||||
\(125\) | 12.0000 | − | 20.7846i | 1.07331 | − | 1.85903i | ||||
\(126\) | −3.00000 | − | 5.19615i | −0.267261 | − | 0.462910i | ||||
\(127\) | −3.12567 | − | 17.7265i | −0.277358 | − | 1.57298i | −0.731370 | − | 0.681981i | \(-0.761119\pi\) |
0.454012 | − | 0.890995i | \(-0.349992\pi\) | |||||||
\(128\) | −0.766044 | − | 0.642788i | −0.0677094 | − | 0.0568149i | ||||
\(129\) | 3.06418 | − | 2.57115i | 0.269786 | − | 0.226377i | ||||
\(130\) | 0.694593 | − | 3.93923i | 0.0609198 | − | 0.345493i | ||||
\(131\) | −11.2763 | + | 4.10424i | −0.985216 | + | 0.358589i | −0.783866 | − | 0.620930i | \(-0.786755\pi\) |
−0.201350 | + | 0.979519i | \(0.564533\pi\) | |||||||
\(132\) | 2.00000 | 0.174078 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 3.00000 | 0.259161 | ||||||||
\(135\) | −18.7939 | + | 6.84040i | −1.61752 | + | 0.588728i | ||||
\(136\) | −0.520945 | + | 2.95442i | −0.0446706 | + | 0.253340i | ||||
\(137\) | −13.0228 | + | 10.9274i | −1.11261 | + | 0.933590i | −0.998208 | − | 0.0598447i | \(-0.980939\pi\) |
−0.114401 | + | 0.993435i | \(0.536495\pi\) | |||||||
\(138\) | 0.766044 | + | 0.642788i | 0.0652100 | + | 0.0547177i | ||||
\(139\) | 0 | 0 | 0.984808 | − | 0.173648i | \(-0.0555556\pi\) | ||||
−0.984808 | + | 0.173648i | \(0.944444\pi\) | |||||||
\(140\) | 6.00000 | + | 10.3923i | 0.507093 | + | 0.878310i | ||||
\(141\) | −4.00000 | + | 6.92820i | −0.336861 | + | 0.583460i | ||||
\(142\) | −1.87939 | − | 0.684040i | −0.157715 | − | 0.0574034i | ||||
\(143\) | −1.87939 | − | 0.684040i | −0.157162 | − | 0.0572023i | ||||
\(144\) | 1.00000 | − | 1.73205i | 0.0833333 | − | 0.144338i | ||||
\(145\) | 10.0000 | + | 17.3205i | 0.830455 | + | 1.43839i | ||||
\(146\) | −1.56283 | − | 8.86327i | −0.129341 | − | 0.733529i | ||||
\(147\) | 1.53209 | + | 1.28558i | 0.126365 | + | 0.106032i | ||||
\(148\) | 1.53209 | − | 1.28558i | 0.125937 | − | 0.105674i | ||||
\(149\) | 0 | 0 | −0.984808 | − | 0.173648i | \(-0.944444\pi\) | ||||
0.984808 | + | 0.173648i | \(0.0555556\pi\) | |||||||
\(150\) | 10.3366 | − | 3.76222i | 0.843981 | − | 0.307184i | ||||
\(151\) | −2.00000 | −0.162758 | −0.0813788 | − | 0.996683i | \(-0.525932\pi\) | ||||
−0.0813788 | + | 0.996683i | \(0.525932\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −6.00000 | −0.485071 | ||||||||
\(154\) | 5.63816 | − | 2.05212i | 0.454336 | − | 0.165365i | ||||
\(155\) | −5.55674 | + | 31.5138i | −0.446328 | + | 2.53125i | ||||
\(156\) | 0.766044 | − | 0.642788i | 0.0613326 | − | 0.0514642i | ||||
\(157\) | −1.53209 | − | 1.28558i | −0.122274 | − | 0.102600i | 0.579600 | − | 0.814901i | \(-0.303209\pi\) |
−0.701874 | + | 0.712301i | \(0.747653\pi\) | |||||||
\(158\) | −1.73648 | − | 9.84808i | −0.138147 | − | 0.783471i | ||||
\(159\) | −0.500000 | − | 0.866025i | −0.0396526 | − | 0.0686803i | ||||
\(160\) | −2.00000 | + | 3.46410i | −0.158114 | + | 0.273861i | ||||
\(161\) | 2.81908 | + | 1.02606i | 0.222174 | + | 0.0808649i | ||||
\(162\) | 0.939693 | + | 0.342020i | 0.0738292 | + | 0.0268716i | ||||
\(163\) | 8.00000 | − | 13.8564i | 0.626608 | − | 1.08532i | −0.361619 | − | 0.932326i | \(-0.617776\pi\) |
0.988227 | − | 0.152992i | \(-0.0488907\pi\) | |||||||
\(164\) | −4.00000 | − | 6.92820i | −0.312348 | − | 0.541002i | ||||
\(165\) | −1.38919 | − | 7.87846i | −0.108148 | − | 0.613337i | ||||
\(166\) | 4.59627 | + | 3.85673i | 0.356739 | + | 0.299340i | ||||
\(167\) | 9.19253 | − | 7.71345i | 0.711340 | − | 0.596885i | −0.213635 | − | 0.976914i | \(-0.568530\pi\) |
0.924975 | + | 0.380029i | \(0.124086\pi\) | |||||||
\(168\) | −0.520945 | + | 2.95442i | −0.0401917 | + | 0.227939i | ||||
\(169\) | 11.2763 | − | 4.10424i | 0.867409 | − | 0.315711i | ||||
\(170\) | 12.0000 | 0.920358 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 4.00000 | 0.304997 | ||||||||
\(173\) | −5.63816 | + | 2.05212i | −0.428661 | + | 0.156020i | −0.547335 | − | 0.836913i | \(-0.684358\pi\) |
0.118674 | + | 0.992933i | \(0.462136\pi\) | |||||||
\(174\) | −0.868241 | + | 4.92404i | −0.0658212 | + | 0.373290i | ||||
\(175\) | 25.2795 | − | 21.2120i | 1.91095 | − | 1.60348i | ||||
\(176\) | 1.53209 | + | 1.28558i | 0.115486 | + | 0.0969039i | ||||
\(177\) | −2.60472 | − | 14.7721i | −0.195783 | − | 1.11034i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(180\) | −7.51754 | − | 2.73616i | −0.560324 | − | 0.203941i | ||||
\(181\) | 20.6732 | + | 7.52444i | 1.53663 | + | 0.559287i | 0.965234 | − | 0.261387i | \(-0.0841800\pi\) |
0.571396 | + | 0.820675i | \(0.306402\pi\) | |||||||
\(182\) | 1.50000 | − | 2.59808i | 0.111187 | − | 0.192582i | ||||
\(183\) | −1.00000 | − | 1.73205i | −0.0739221 | − | 0.128037i | ||||
\(184\) | 0.173648 | + | 0.984808i | 0.0128015 | + | 0.0726010i | ||||
\(185\) | −6.12836 | − | 5.14230i | −0.450566 | − | 0.378069i | ||||
\(186\) | −6.12836 | + | 5.14230i | −0.449353 | + | 0.377052i | ||||
\(187\) | 1.04189 | − | 5.90885i | 0.0761905 | − | 0.432098i | ||||
\(188\) | −7.51754 | + | 2.73616i | −0.548273 | + | 0.199555i | ||||
\(189\) | −15.0000 | −1.09109 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 7.00000 | 0.506502 | 0.253251 | − | 0.967401i | \(-0.418500\pi\) | ||||
0.253251 | + | 0.967401i | \(0.418500\pi\) | |||||||
\(192\) | −0.939693 | + | 0.342020i | −0.0678165 | + | 0.0246832i | ||||
\(193\) | 1.04189 | − | 5.90885i | 0.0749968 | − | 0.425328i | −0.924073 | − | 0.382215i | \(-0.875161\pi\) |
0.999070 | − | 0.0431130i | \(-0.0137275\pi\) | |||||||
\(194\) | −1.53209 | + | 1.28558i | −0.109998 | + | 0.0922989i | ||||
\(195\) | −3.06418 | − | 2.57115i | −0.219430 | − | 0.184124i | ||||
\(196\) | 0.347296 | + | 1.96962i | 0.0248069 | + | 0.140687i | ||||
\(197\) | −4.00000 | − | 6.92820i | −0.284988 | − | 0.493614i | 0.687618 | − | 0.726073i | \(-0.258656\pi\) |
−0.972606 | + | 0.232458i | \(0.925323\pi\) | |||||||
\(198\) | −2.00000 | + | 3.46410i | −0.142134 | + | 0.246183i | ||||
\(199\) | 23.4923 | + | 8.55050i | 1.66533 | + | 0.606129i | 0.991186 | − | 0.132475i | \(-0.0422923\pi\) |
0.674140 | + | 0.738604i | \(0.264515\pi\) | |||||||
\(200\) | 10.3366 | + | 3.76222i | 0.730909 | + | 0.266029i | ||||
\(201\) | 1.50000 | − | 2.59808i | 0.105802 | − | 0.183254i | ||||
\(202\) | 1.00000 | + | 1.73205i | 0.0703598 | + | 0.121867i | ||||
\(203\) | 2.60472 | + | 14.7721i | 0.182816 | + | 1.03680i | ||||
\(204\) | 2.29813 | + | 1.92836i | 0.160902 | + | 0.135012i | ||||
\(205\) | −24.5134 | + | 20.5692i | −1.71209 | + | 1.43662i | ||||
\(206\) | −1.04189 | + | 5.90885i | −0.0725919 | + | 0.411689i | ||||
\(207\) | −1.87939 | + | 0.684040i | −0.130626 | + | 0.0475441i | ||||
\(208\) | 1.00000 | 0.0693375 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 12.0000 | 0.828079 | ||||||||
\(211\) | 25.3717 | − | 9.23454i | 1.74666 | − | 0.635732i | 0.747081 | − | 0.664734i | \(-0.231455\pi\) |
0.999579 | + | 0.0290013i | \(0.00923270\pi\) | |||||||
\(212\) | 0.173648 | − | 0.984808i | 0.0119262 | − | 0.0676369i | ||||
\(213\) | −1.53209 | + | 1.28558i | −0.104977 | + | 0.0880862i | ||||
\(214\) | −5.36231 | − | 4.49951i | −0.366560 | − | 0.307580i | ||||
\(215\) | −2.77837 | − | 15.7569i | −0.189483 | − | 1.07461i | ||||
\(216\) | −2.50000 | − | 4.33013i | −0.170103 | − | 0.294628i | ||||
\(217\) | −12.0000 | + | 20.7846i | −0.814613 | + | 1.41095i | ||||
\(218\) | 14.0954 | + | 5.13030i | 0.954660 | + | 0.347468i | ||||
\(219\) | −8.45723 | − | 3.07818i | −0.571487 | − | 0.208004i | ||||
\(220\) | 4.00000 | − | 6.92820i | 0.269680 | − | 0.467099i | ||||
\(221\) | −1.50000 | − | 2.59808i | −0.100901 | − | 0.174766i | ||||
\(222\) | −0.347296 | − | 1.96962i | −0.0233090 | − | 0.132192i | ||||
\(223\) | −10.7246 | − | 8.99903i | −0.718174 | − | 0.602619i | 0.208706 | − | 0.977979i | \(-0.433075\pi\) |
−0.926879 | + | 0.375359i | \(0.877519\pi\) | |||||||
\(224\) | −2.29813 | + | 1.92836i | −0.153550 | + | 0.128844i | ||||
\(225\) | −3.82026 | + | 21.6658i | −0.254684 | + | 1.44438i | ||||
\(226\) | −13.1557 | + | 4.78828i | −0.875104 | + | 0.318512i | ||||
\(227\) | 17.0000 | 1.12833 | 0.564165 | − | 0.825662i | \(-0.309198\pi\) | ||||
0.564165 | + | 0.825662i | \(0.309198\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −10.0000 | −0.660819 | −0.330409 | − | 0.943838i | \(-0.607187\pi\) | ||||
−0.330409 | + | 0.943838i | \(0.607187\pi\) | |||||||
\(230\) | 3.75877 | − | 1.36808i | 0.247846 | − | 0.0902086i | ||||
\(231\) | 1.04189 | − | 5.90885i | 0.0685513 | − | 0.388774i | ||||
\(232\) | −3.83022 | + | 3.21394i | −0.251466 | + | 0.211005i | ||||
\(233\) | −4.59627 | − | 3.85673i | −0.301111 | − | 0.252662i | 0.479695 | − | 0.877435i | \(-0.340747\pi\) |
−0.780807 | + | 0.624773i | \(0.785192\pi\) | |||||||
\(234\) | 0.347296 | + | 1.96962i | 0.0227035 | + | 0.128758i | ||||
\(235\) | 16.0000 | + | 27.7128i | 1.04372 | + | 1.80778i | ||||
\(236\) | 7.50000 | − | 12.9904i | 0.488208 | − | 0.845602i | ||||
\(237\) | −9.39693 | − | 3.42020i | −0.610396 | − | 0.222166i | ||||
\(238\) | 8.45723 | + | 3.07818i | 0.548201 | + | 0.199529i | ||||
\(239\) | −7.50000 | + | 12.9904i | −0.485135 | + | 0.840278i | −0.999854 | − | 0.0170808i | \(-0.994563\pi\) |
0.514719 | + | 0.857359i | \(0.327896\pi\) | |||||||
\(240\) | 2.00000 | + | 3.46410i | 0.129099 | + | 0.223607i | ||||
\(241\) | 1.38919 | + | 7.87846i | 0.0894853 | + | 0.507496i | 0.996298 | + | 0.0859632i | \(0.0273968\pi\) |
−0.906813 | + | 0.421533i | \(0.861492\pi\) | |||||||
\(242\) | 5.36231 | + | 4.49951i | 0.344702 | + | 0.289240i | ||||
\(243\) | 12.2567 | − | 10.2846i | 0.786268 | − | 0.659758i | ||||
\(244\) | 0.347296 | − | 1.96962i | 0.0222334 | − | 0.126092i | ||||
\(245\) | 7.51754 | − | 2.73616i | 0.480278 | − | 0.174807i | ||||
\(246\) | −8.00000 | −0.510061 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | −8.00000 | −0.508001 | ||||||||
\(249\) | 5.63816 | − | 2.05212i | 0.357304 | − | 0.130048i | ||||
\(250\) | 4.16756 | − | 23.6354i | 0.263579 | − | 1.49483i | ||||
\(251\) | 1.53209 | − | 1.28558i | 0.0967046 | − | 0.0811448i | −0.593154 | − | 0.805089i | \(-0.702117\pi\) |
0.689858 | + | 0.723945i | \(0.257673\pi\) | |||||||
\(252\) | −4.59627 | − | 3.85673i | −0.289538 | − | 0.242951i | ||||
\(253\) | −0.347296 | − | 1.96962i | −0.0218343 | − | 0.123829i | ||||
\(254\) | −9.00000 | − | 15.5885i | −0.564710 | − | 0.978107i | ||||
\(255\) | 6.00000 | − | 10.3923i | 0.375735 | − | 0.650791i | ||||
\(256\) | −0.939693 | − | 0.342020i | −0.0587308 | − | 0.0213763i | ||||
\(257\) | 7.51754 | + | 2.73616i | 0.468931 | + | 0.170677i | 0.565668 | − | 0.824633i | \(-0.308618\pi\) |
−0.0967369 | + | 0.995310i | \(0.530841\pi\) | |||||||
\(258\) | 2.00000 | − | 3.46410i | 0.124515 | − | 0.215666i | ||||
\(259\) | −3.00000 | − | 5.19615i | −0.186411 | − | 0.322873i | ||||
\(260\) | −0.694593 | − | 3.93923i | −0.0430768 | − | 0.244301i | ||||
\(261\) | −7.66044 | − | 6.42788i | −0.474170 | − | 0.397876i | ||||
\(262\) | −9.19253 | + | 7.71345i | −0.567917 | + | 0.476539i | ||||
\(263\) | 4.16756 | − | 23.6354i | 0.256983 | − | 1.45742i | −0.533950 | − | 0.845516i | \(-0.679293\pi\) |
0.790932 | − | 0.611904i | \(-0.209596\pi\) | |||||||
\(264\) | 1.87939 | − | 0.684040i | 0.115668 | − | 0.0420998i | ||||
\(265\) | −4.00000 | −0.245718 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 2.81908 | − | 1.02606i | 0.172203 | − | 0.0626766i | ||||
\(269\) | −5.20945 | + | 29.5442i | −0.317625 | + | 1.80134i | 0.239479 | + | 0.970901i | \(0.423023\pi\) |
−0.557105 | + | 0.830442i | \(0.688088\pi\) | |||||||
\(270\) | −15.3209 | + | 12.8558i | −0.932400 | + | 0.782376i | ||||
\(271\) | 5.36231 | + | 4.49951i | 0.325737 | + | 0.273326i | 0.790960 | − | 0.611868i | \(-0.209581\pi\) |
−0.465223 | + | 0.885193i | \(0.654026\pi\) | |||||||
\(272\) | 0.520945 | + | 2.95442i | 0.0315869 | + | 0.179138i | ||||
\(273\) | −1.50000 | − | 2.59808i | −0.0907841 | − | 0.157243i | ||||
\(274\) | −8.50000 | + | 14.7224i | −0.513504 | + | 0.889415i | ||||
\(275\) | −20.6732 | − | 7.52444i | −1.24664 | − | 0.453741i | ||||
\(276\) | 0.939693 | + | 0.342020i | 0.0565628 | + | 0.0205872i | ||||
\(277\) | −14.0000 | + | 24.2487i | −0.841178 | + | 1.45696i | 0.0477206 | + | 0.998861i | \(0.484804\pi\) |
−0.888899 | + | 0.458103i | \(0.848529\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −2.77837 | − | 15.7569i | −0.166337 | − | 0.943342i | ||||
\(280\) | 9.19253 | + | 7.71345i | 0.549359 | + | 0.460967i | ||||
\(281\) | 6.12836 | − | 5.14230i | 0.365587 | − | 0.306764i | −0.441426 | − | 0.897298i | \(-0.645527\pi\) |
0.807013 | + | 0.590534i | \(0.201083\pi\) | |||||||
\(282\) | −1.38919 | + | 7.87846i | −0.0827248 | + | 0.469156i | ||||
\(283\) | 5.63816 | − | 2.05212i | 0.335154 | − | 0.121986i | −0.168961 | − | 0.985623i | \(-0.554041\pi\) |
0.504115 | + | 0.863637i | \(0.331819\pi\) | |||||||
\(284\) | −2.00000 | −0.118678 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −2.00000 | −0.118262 | ||||||||
\(287\) | −22.5526 | + | 8.20848i | −1.33124 | + | 0.484531i | ||||
\(288\) | 0.347296 | − | 1.96962i | 0.0204646 | − | 0.116061i | ||||
\(289\) | −6.12836 | + | 5.14230i | −0.360492 | + | 0.302488i | ||||
\(290\) | 15.3209 | + | 12.8558i | 0.899674 | + | 0.754916i | ||||
\(291\) | 0.347296 | + | 1.96962i | 0.0203589 | + | 0.115461i | ||||
\(292\) | −4.50000 | − | 7.79423i | −0.263343 | − | 0.456123i | ||||
\(293\) | 4.50000 | − | 7.79423i | 0.262893 | − | 0.455344i | −0.704117 | − | 0.710084i | \(-0.748657\pi\) |
0.967009 | + | 0.254741i | \(0.0819901\pi\) | |||||||
\(294\) | 1.87939 | + | 0.684040i | 0.109608 | + | 0.0398940i | ||||
\(295\) | −56.3816 | − | 20.5212i | −3.28266 | − | 1.19479i | ||||
\(296\) | 1.00000 | − | 1.73205i | 0.0581238 | − | 0.100673i | ||||
\(297\) | 5.00000 | + | 8.66025i | 0.290129 | + | 0.502519i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −0.766044 | − | 0.642788i | −0.0443015 | − | 0.0371734i | ||||
\(300\) | 8.42649 | − | 7.07066i | 0.486504 | − | 0.408225i | ||||
\(301\) | 2.08378 | − | 11.8177i | 0.120107 | − | 0.681161i | ||||
\(302\) | −1.87939 | + | 0.684040i | −0.108146 | + | 0.0393621i | ||||
\(303\) | 2.00000 | 0.114897 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −8.00000 | −0.458079 | ||||||||
\(306\) | −5.63816 | + | 2.05212i | −0.322312 | + | 0.117312i | ||||
\(307\) | 2.08378 | − | 11.8177i | 0.118927 | − | 0.674471i | −0.865803 | − | 0.500385i | \(-0.833192\pi\) |
0.984730 | − | 0.174086i | \(-0.0556971\pi\) | |||||||
\(308\) | 4.59627 | − | 3.85673i | 0.261897 | − | 0.219757i | ||||
\(309\) | 4.59627 | + | 3.85673i | 0.261472 | + | 0.219401i | ||||
\(310\) | 5.55674 | + | 31.5138i | 0.315602 | + | 1.78987i | ||||
\(311\) | −3.50000 | − | 6.06218i | −0.198467 | − | 0.343755i | 0.749565 | − | 0.661931i | \(-0.230263\pi\) |
−0.948031 | + | 0.318177i | \(0.896930\pi\) | |||||||
\(312\) | 0.500000 | − | 0.866025i | 0.0283069 | − | 0.0490290i | ||||
\(313\) | −27.2511 | − | 9.91858i | −1.54032 | − | 0.560632i | −0.574200 | − | 0.818715i | \(-0.694687\pi\) |
−0.966123 | + | 0.258084i | \(0.916909\pi\) | |||||||
\(314\) | −1.87939 | − | 0.684040i | −0.106060 | − | 0.0386026i | ||||
\(315\) | −12.0000 | + | 20.7846i | −0.676123 | + | 1.17108i | ||||
\(316\) | −5.00000 | − | 8.66025i | −0.281272 | − | 0.487177i | ||||
\(317\) | 4.68850 | + | 26.5898i | 0.263332 | + | 1.49343i | 0.773742 | + | 0.633501i | \(0.218383\pi\) |
−0.510409 | + | 0.859932i | \(0.670506\pi\) | |||||||
\(318\) | −0.766044 | − | 0.642788i | −0.0429576 | − | 0.0360457i | ||||
\(319\) | 7.66044 | − | 6.42788i | 0.428903 | − | 0.359892i | ||||
\(320\) | −0.694593 | + | 3.93923i | −0.0388289 | + | 0.220210i | ||||
\(321\) | −6.57785 | + | 2.39414i | −0.367140 | + | 0.133628i | ||||
\(322\) | 3.00000 | 0.167183 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | 1.00000 | 0.0555556 | ||||||||
\(325\) | −10.3366 | + | 3.76222i | −0.573372 | + | 0.208691i | ||||
\(326\) | 2.77837 | − | 15.7569i | 0.153880 | − | 0.872695i | ||||
\(327\) | 11.4907 | − | 9.64181i | 0.635435 | − | 0.533194i | ||||
\(328\) | −6.12836 | − | 5.14230i | −0.338382 | − | 0.283936i | ||||
\(329\) | 4.16756 | + | 23.6354i | 0.229765 | + | 1.30306i | ||||
\(330\) | −4.00000 | − | 6.92820i | −0.220193 | − | 0.381385i | ||||
\(331\) | 8.50000 | − | 14.7224i | 0.467202 | − | 0.809218i | −0.532096 | − | 0.846684i | \(-0.678595\pi\) |
0.999298 | + | 0.0374662i | \(0.0119287\pi\) | |||||||
\(332\) | 5.63816 | + | 2.05212i | 0.309434 | + | 0.112625i | ||||
\(333\) | 3.75877 | + | 1.36808i | 0.205979 | + | 0.0749704i | ||||
\(334\) | 6.00000 | − | 10.3923i | 0.328305 | − | 0.568642i | ||||
\(335\) | −6.00000 | − | 10.3923i | −0.327815 | − | 0.567792i | ||||
\(336\) | 0.520945 | + | 2.95442i | 0.0284199 | + | 0.161177i | ||||
\(337\) | 24.5134 | + | 20.5692i | 1.33533 | + | 1.12048i | 0.982799 | + | 0.184676i | \(0.0591236\pi\) |
0.352532 | + | 0.935800i | \(0.385321\pi\) | |||||||
\(338\) | 9.19253 | − | 7.71345i | 0.500008 | − | 0.419556i | ||||
\(339\) | −2.43107 | + | 13.7873i | −0.132038 | + | 0.748824i | ||||
\(340\) | 11.2763 | − | 4.10424i | 0.611544 | − | 0.222584i | ||||
\(341\) | 16.0000 | 0.866449 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −15.0000 | −0.809924 | ||||||||
\(344\) | 3.75877 | − | 1.36808i | 0.202659 | − | 0.0737620i | ||||
\(345\) | 0.694593 | − | 3.93923i | 0.0373956 | − | 0.212081i | ||||
\(346\) | −4.59627 | + | 3.85673i | −0.247097 | + | 0.207339i | ||||
\(347\) | −1.53209 | − | 1.28558i | −0.0822468 | − | 0.0690133i | 0.600737 | − | 0.799446i | \(-0.294874\pi\) |
−0.682984 | + | 0.730433i | \(0.739318\pi\) | |||||||
\(348\) | 0.868241 | + | 4.92404i | 0.0465426 | + | 0.263956i | ||||
\(349\) | −5.00000 | − | 8.66025i | −0.267644 | − | 0.463573i | 0.700609 | − | 0.713545i | \(-0.252912\pi\) |
−0.968253 | + | 0.249973i | \(0.919578\pi\) | |||||||
\(350\) | 16.5000 | − | 28.5788i | 0.881962 | − | 1.52760i | ||||
\(351\) | 4.69846 | + | 1.71010i | 0.250785 | + | 0.0912784i | ||||
\(352\) | 1.87939 | + | 0.684040i | 0.100172 | + | 0.0364595i | ||||
\(353\) | −4.50000 | + | 7.79423i | −0.239511 | + | 0.414845i | −0.960574 | − | 0.278024i | \(-0.910320\pi\) |
0.721063 | + | 0.692869i | \(0.243654\pi\) | |||||||
\(354\) | −7.50000 | − | 12.9904i | −0.398621 | − | 0.690431i | ||||
\(355\) | 1.38919 | + | 7.87846i | 0.0737303 | + | 0.418145i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 6.89440 | − | 5.78509i | 0.364890 | − | 0.306179i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 14.0954 | − | 5.13030i | 0.743926 | − | 0.270767i | 0.0578786 | − | 0.998324i | \(-0.481566\pi\) |
0.686048 | + | 0.727557i | \(0.259344\pi\) | |||||||
\(360\) | −8.00000 | −0.421637 | ||||||||
\(361\) | 0 | 0 | ||||||||
\(362\) | 22.0000 | 1.15629 | ||||||||
\(363\) | 6.57785 | − | 2.39414i | 0.345248 | − | 0.125660i | ||||
\(364\) | 0.520945 | − | 2.95442i | 0.0273049 | − | 0.154854i | ||||
\(365\) | −27.5776 | + | 23.1404i | −1.44348 | + | 1.21122i | ||||
\(366\) | −1.53209 | − | 1.28558i | −0.0800836 | − | 0.0671981i | ||||
\(367\) | 4.86215 | + | 27.5746i | 0.253802 | + | 1.43938i | 0.799129 | + | 0.601160i | \(0.205294\pi\) |
−0.545327 | + | 0.838224i | \(0.683594\pi\) | |||||||
\(368\) | 0.500000 | + | 0.866025i | 0.0260643 | + | 0.0451447i | ||||
\(369\) | 8.00000 | − | 13.8564i | 0.416463 | − | 0.721336i | ||||
\(370\) | −7.51754 | − | 2.73616i | −0.390818 | − | 0.142246i | ||||
\(371\) | −2.81908 | − | 1.02606i | −0.146359 | − | 0.0532704i | ||||
\(372\) | −4.00000 | + | 6.92820i | −0.207390 | + | 0.359211i | ||||
\(373\) | 14.5000 | + | 25.1147i | 0.750782 | + | 1.30039i | 0.947444 | + | 0.319921i | \(0.103656\pi\) |
−0.196663 | + | 0.980471i | \(0.563010\pi\) | |||||||
\(374\) | −1.04189 | − | 5.90885i | −0.0538748 | − | 0.305539i | ||||
\(375\) | −18.3851 | − | 15.4269i | −0.949401 | − | 0.796642i | ||||
\(376\) | −6.12836 | + | 5.14230i | −0.316046 | + | 0.265194i | ||||
\(377\) | 0.868241 | − | 4.92404i | 0.0447167 | − | 0.253601i | ||||
\(378\) | −14.0954 | + | 5.13030i | −0.724989 | + | 0.263874i | ||||
\(379\) | −15.0000 | −0.770498 | −0.385249 | − | 0.922813i | \(-0.625884\pi\) | ||||
−0.385249 | + | 0.922813i | \(0.625884\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −18.0000 | −0.922168 | ||||||||
\(382\) | 6.57785 | − | 2.39414i | 0.336552 | − | 0.122495i | ||||
\(383\) | 4.51485 | − | 25.6050i | 0.230698 | − | 1.30835i | −0.620788 | − | 0.783978i | \(-0.713187\pi\) |
0.851487 | − | 0.524376i | \(-0.175701\pi\) | |||||||
\(384\) | −0.766044 | + | 0.642788i | −0.0390920 | + | 0.0328021i | ||||
\(385\) | −18.3851 | − | 15.4269i | −0.936990 | − | 0.786228i | ||||
\(386\) | −1.04189 | − | 5.90885i | −0.0530308 | − | 0.300752i | ||||
\(387\) | 4.00000 | + | 6.92820i | 0.203331 | + | 0.352180i | ||||
\(388\) | −1.00000 | + | 1.73205i | −0.0507673 | + | 0.0879316i | ||||
\(389\) | 28.1908 | + | 10.2606i | 1.42933 | + | 0.520233i | 0.936739 | − | 0.350028i | \(-0.113828\pi\) |
0.492590 | + | 0.870261i | \(0.336050\pi\) | |||||||
\(390\) | −3.75877 | − | 1.36808i | −0.190333 | − | 0.0692755i | ||||
\(391\) | 1.50000 | − | 2.59808i | 0.0758583 | − | 0.131390i | ||||
\(392\) | 1.00000 | + | 1.73205i | 0.0505076 | + | 0.0874818i | ||||
\(393\) | 2.08378 | + | 11.8177i | 0.105113 | + | 0.596124i | ||||
\(394\) | −6.12836 | − | 5.14230i | −0.308742 | − | 0.259065i | ||||
\(395\) | −30.6418 | + | 25.7115i | −1.54176 | + | 1.29369i | ||||
\(396\) | −0.694593 | + | 3.93923i | −0.0349046 | + | 0.197954i | ||||
\(397\) | −7.51754 | + | 2.73616i | −0.377295 | + | 0.137324i | −0.523704 | − | 0.851900i | \(-0.675450\pi\) |
0.146410 | + | 0.989224i | \(0.453228\pi\) | |||||||
\(398\) | 25.0000 | 1.25314 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 11.0000 | 0.550000 | ||||||||
\(401\) | −7.51754 | + | 2.73616i | −0.375408 | + | 0.136637i | −0.522831 | − | 0.852436i | \(-0.675124\pi\) |
0.147423 | + | 0.989073i | \(0.452902\pi\) | |||||||
\(402\) | 0.520945 | − | 2.95442i | 0.0259824 | − | 0.147353i | ||||
\(403\) | 6.12836 | − | 5.14230i | 0.305275 | − | 0.256156i | ||||
\(404\) | 1.53209 | + | 1.28558i | 0.0762243 | + | 0.0639598i | ||||
\(405\) | −0.694593 | − | 3.93923i | −0.0345146 | − | 0.195742i | ||||
\(406\) | 7.50000 | + | 12.9904i | 0.372219 | + | 0.644702i | ||||
\(407\) | −2.00000 | + | 3.46410i | −0.0991363 | + | 0.171709i | ||||
\(408\) | 2.81908 | + | 1.02606i | 0.139565 | + | 0.0507976i | ||||
\(409\) | −18.7939 | − | 6.84040i | −0.929296 | − | 0.338236i | −0.167366 | − | 0.985895i | \(-0.553526\pi\) |
−0.761931 | + | 0.647659i | \(0.775748\pi\) | |||||||
\(410\) | −16.0000 | + | 27.7128i | −0.790184 | + | 1.36864i | ||||
\(411\) | 8.50000 | + | 14.7224i | 0.419274 | + | 0.726204i | ||||
\(412\) | 1.04189 | + | 5.90885i | 0.0513302 | + | 0.291108i | ||||
\(413\) | −34.4720 | − | 28.9254i | −1.69626 | − | 1.42333i | ||||
\(414\) | −1.53209 | + | 1.28558i | −0.0752981 | + | 0.0631826i | ||||
\(415\) | 4.16756 | − | 23.6354i | 0.204577 | − | 1.16022i | ||||
\(416\) | 0.939693 | − | 0.342020i | 0.0460722 | − | 0.0167689i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(420\) | 11.2763 | − | 4.10424i | 0.550228 | − | 0.200266i | ||||
\(421\) | 2.25743 | − | 12.8025i | 0.110020 | − | 0.623956i | −0.879076 | − | 0.476682i | \(-0.841839\pi\) |
0.989096 | − | 0.147273i | \(-0.0470497\pi\) | |||||||
\(422\) | 20.6832 | − | 17.3553i | 1.00684 | − | 0.844841i | ||||
\(423\) | −12.2567 | − | 10.2846i | −0.595942 | − | 0.500054i | ||||
\(424\) | −0.173648 | − | 0.984808i | −0.00843310 | − | 0.0478265i | ||||
\(425\) | −16.5000 | − | 28.5788i | −0.800368 | − | 1.38628i | ||||
\(426\) | −1.00000 | + | 1.73205i | −0.0484502 | + | 0.0839181i | ||||
\(427\) | −5.63816 | − | 2.05212i | −0.272849 | − | 0.0993091i | ||||
\(428\) | −6.57785 | − | 2.39414i | −0.317952 | − | 0.115725i | ||||
\(429\) | −1.00000 | + | 1.73205i | −0.0482805 | + | 0.0836242i | ||||
\(430\) | −8.00000 | − | 13.8564i | −0.385794 | − | 0.668215i | ||||
\(431\) | 3.12567 | + | 17.7265i | 0.150558 | + | 0.853857i | 0.962735 | + | 0.270446i | \(0.0871712\pi\) |
−0.812177 | + | 0.583411i | \(0.801718\pi\) | |||||||
\(432\) | −3.83022 | − | 3.21394i | −0.184282 | − | 0.154631i | ||||
\(433\) | −10.7246 | + | 8.99903i | −0.515392 | + | 0.432466i | −0.863022 | − | 0.505166i | \(-0.831431\pi\) |
0.347630 | + | 0.937632i | \(0.386987\pi\) | |||||||
\(434\) | −4.16756 | + | 23.6354i | −0.200049 | + | 1.13453i | ||||
\(435\) | 18.7939 | − | 6.84040i | 0.901096 | − | 0.327972i | ||||
\(436\) | 15.0000 | 0.718370 | ||||||||
\(437\) | 0 | 0 | ||||||||
\(438\) | −9.00000 | −0.430037 | ||||||||
\(439\) | 18.7939 | − | 6.84040i | 0.896982 | − | 0.326475i | 0.147939 | − | 0.988996i | \(-0.452736\pi\) |
0.749043 | + | 0.662522i | \(0.230514\pi\) | |||||||
\(440\) | 1.38919 | − | 7.87846i | 0.0662268 | − | 0.375591i | ||||
\(441\) | −3.06418 | + | 2.57115i | −0.145913 | + | 0.122436i | ||||
\(442\) | −2.29813 | − | 1.92836i | −0.109311 | − | 0.0917229i | ||||
\(443\) | −4.51485 | − | 25.6050i | −0.214507 | − | 1.21653i | −0.881760 | − | 0.471699i | \(-0.843641\pi\) |
0.667253 | − | 0.744832i | \(-0.267470\pi\) | |||||||
\(444\) | −1.00000 | − | 1.73205i | −0.0474579 | − | 0.0821995i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −13.1557 | − | 4.78828i | −0.622940 | − | 0.226732i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −1.50000 | + | 2.59808i | −0.0708683 | + | 0.122748i | ||||
\(449\) | 5.00000 | + | 8.66025i | 0.235965 | + | 0.408703i | 0.959553 | − | 0.281529i | \(-0.0908417\pi\) |
−0.723588 | + | 0.690232i | \(0.757508\pi\) | |||||||
\(450\) | 3.82026 | + | 21.6658i | 0.180089 | + | 1.02133i | ||||
\(451\) | 12.2567 | + | 10.2846i | 0.577146 | + | 0.484283i | ||||
\(452\) | −10.7246 | + | 8.99903i | −0.504444 | + | 0.423279i | ||||
\(453\) | −0.347296 | + | 1.96962i | −0.0163174 | + | 0.0925406i | ||||
\(454\) | 15.9748 | − | 5.81434i | 0.749733 | − | 0.272881i | ||||
\(455\) | −12.0000 | −0.562569 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −7.00000 | −0.327446 | −0.163723 | − | 0.986506i | \(-0.552350\pi\) | ||||
−0.163723 | + | 0.986506i | \(0.552350\pi\) | |||||||
\(458\) | −9.39693 | + | 3.42020i | −0.439090 | + | 0.159816i | ||||
\(459\) | −2.60472 | + | 14.7721i | −0.121578 | + | 0.689503i | ||||
\(460\) | 3.06418 | − | 2.57115i | 0.142868 | − | 0.119881i | ||||
\(461\) | −21.4492 | − | 17.9981i | −0.998991 | − | 0.838253i | −0.0121466 | − | 0.999926i | \(-0.503866\pi\) |
−0.986844 | + | 0.161673i | \(0.948311\pi\) | |||||||
\(462\) | −1.04189 | − | 5.90885i | −0.0484731 | − | 0.274904i | ||||
\(463\) | −2.00000 | − | 3.46410i | −0.0929479 | − | 0.160990i | 0.815802 | − | 0.578331i | \(-0.196296\pi\) |
−0.908750 | + | 0.417340i | \(0.862962\pi\) | |||||||
\(464\) | −2.50000 | + | 4.33013i | −0.116060 | + | 0.201021i | ||||
\(465\) | 30.0702 | + | 10.9446i | 1.39447 | + | 0.507546i | ||||
\(466\) | −5.63816 | − | 2.05212i | −0.261183 | − | 0.0950627i | ||||
\(467\) | 1.00000 | − | 1.73205i | 0.0462745 | − | 0.0801498i | −0.841960 | − | 0.539539i | \(-0.818598\pi\) |
0.888235 | + | 0.459390i | \(0.151932\pi\) | |||||||
\(468\) | 1.00000 | + | 1.73205i | 0.0462250 | + | 0.0800641i | ||||
\(469\) | −1.56283 | − | 8.86327i | −0.0721650 | − | 0.409268i | ||||
\(470\) | 24.5134 | + | 20.5692i | 1.13072 | + | 0.948787i | ||||
\(471\) | −1.53209 | + | 1.28558i | −0.0705949 | + | 0.0592362i | ||||
\(472\) | 2.60472 | − | 14.7721i | 0.119892 | − | 0.679942i | ||||
\(473\) | −7.51754 | + | 2.73616i | −0.345657 | + | 0.125809i | ||||
\(474\) | −10.0000 | −0.459315 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 9.00000 | 0.412514 | ||||||||
\(477\) | 1.87939 | − | 0.684040i | 0.0860511 | − | 0.0313201i | ||||
\(478\) | −2.60472 | + | 14.7721i | −0.119137 | + | 0.675661i | ||||
\(479\) | −15.3209 | + | 12.8558i | −0.700029 | + | 0.587394i | −0.921782 | − | 0.387709i | \(-0.873267\pi\) |
0.221753 | + | 0.975103i | \(0.428822\pi\) | |||||||
\(480\) | 3.06418 | + | 2.57115i | 0.139860 | + | 0.117356i | ||||
\(481\) | 0.347296 | + | 1.96962i | 0.0158354 | + | 0.0898067i | ||||
\(482\) | 4.00000 | + | 6.92820i | 0.182195 | + | 0.315571i | ||||
\(483\) | 1.50000 | − | 2.59808i | 0.0682524 | − | 0.118217i | ||||
\(484\) | 6.57785 | + | 2.39414i | 0.298993 | + | 0.108825i | ||||
\(485\) | 7.51754 | + | 2.73616i | 0.341354 | + | 0.124243i | ||||
\(486\) | 8.00000 | − | 13.8564i | 0.362887 | − | 0.628539i | ||||
\(487\) | −1.00000 | − | 1.73205i | −0.0453143 | − | 0.0784867i | 0.842479 | − | 0.538730i | \(-0.181096\pi\) |
−0.887793 | + | 0.460243i | \(0.847762\pi\) | |||||||
\(488\) | −0.347296 | − | 1.96962i | −0.0157214 | − | 0.0891603i | ||||
\(489\) | −12.2567 | − | 10.2846i | −0.554268 | − | 0.465086i | ||||
\(490\) | 6.12836 | − | 5.14230i | 0.276851 | − | 0.232305i | ||||
\(491\) | −4.86215 | + | 27.5746i | −0.219426 | + | 1.24443i | 0.653634 | + | 0.756811i | \(0.273244\pi\) |
−0.873059 | + | 0.487614i | \(0.837867\pi\) | |||||||
\(492\) | −7.51754 | + | 2.73616i | −0.338917 | + | 0.123356i | ||||
\(493\) | 15.0000 | 0.675566 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 16.0000 | 0.719147 | ||||||||
\(496\) | −7.51754 | + | 2.73616i | −0.337548 | + | 0.122857i | ||||
\(497\) | −1.04189 | + | 5.90885i | −0.0467351 | + | 0.265048i | ||||
\(498\) | 4.59627 | − | 3.85673i | 0.205964 | − | 0.172824i | ||||
\(499\) | 30.6418 | + | 25.7115i | 1.37171 | + | 1.15101i | 0.972166 | + | 0.234293i | \(0.0752775\pi\) |
0.399548 | + | 0.916712i | \(0.369167\pi\) | |||||||
\(500\) | −4.16756 | − | 23.6354i | −0.186379 | − | 1.05701i | ||||
\(501\) | −6.00000 | − | 10.3923i | −0.268060 | − | 0.464294i | ||||
\(502\) | 1.00000 | − | 1.73205i | 0.0446322 | − | 0.0773052i | ||||
\(503\) | −36.6480 | − | 13.3388i | −1.63405 | − | 0.594747i | −0.648069 | − | 0.761581i | \(-0.724423\pi\) |
−0.985985 | + | 0.166834i | \(0.946645\pi\) | |||||||
\(504\) | −5.63816 | − | 2.05212i | −0.251143 | − | 0.0914087i | ||||
\(505\) | 4.00000 | − | 6.92820i | 0.177998 | − | 0.308301i | ||||
\(506\) | −1.00000 | − | 1.73205i | −0.0444554 | − | 0.0769991i | ||||
\(507\) | −2.08378 | − | 11.8177i | −0.0925438 | − | 0.524842i | ||||
\(508\) | −13.7888 | − | 11.5702i | −0.611779 | − | 0.513344i | ||||
\(509\) | 22.9813 | − | 19.2836i | 1.01863 | − | 0.854732i | 0.0291750 | − | 0.999574i | \(-0.490712\pi\) |
0.989455 | + | 0.144843i | \(0.0462676\pi\) | |||||||
\(510\) | 2.08378 | − | 11.8177i | 0.0922712 | − | 0.523296i | ||||
\(511\) | −25.3717 | + | 9.23454i | −1.12238 | + | 0.408512i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 8.00000 | 0.352865 | ||||||||
\(515\) | 22.5526 | − | 8.20848i | 0.993787 | − | 0.361709i | ||||
\(516\) | 0.694593 | − | 3.93923i | 0.0305777 | − | 0.173415i | ||||
\(517\) | 12.2567 | − | 10.2846i | 0.539050 | − | 0.452316i | ||||
\(518\) | −4.59627 | − | 3.85673i | −0.201948 | − | 0.169455i | ||||
\(519\) | 1.04189 | + | 5.90885i | 0.0457339 | + | 0.259370i | ||||
\(520\) | −2.00000 | − | 3.46410i | −0.0877058 | − | 0.151911i | ||||
\(521\) | −14.0000 | + | 24.2487i | −0.613351 | + | 1.06236i | 0.377320 | + | 0.926083i | \(0.376846\pi\) |
−0.990671 | + | 0.136272i | \(0.956488\pi\) | |||||||
\(522\) | −9.39693 | − | 3.42020i | −0.411292 | − | 0.149698i | ||||
\(523\) | 27.2511 | + | 9.91858i | 1.19161 | + | 0.433709i | 0.860287 | − | 0.509809i | \(-0.170284\pi\) |
0.331319 | + | 0.943519i | \(0.392506\pi\) | |||||||
\(524\) | −6.00000 | + | 10.3923i | −0.262111 | + | 0.453990i | ||||
\(525\) | −16.5000 | − | 28.5788i | −0.720119 | − | 1.24728i | ||||
\(526\) | −4.16756 | − | 23.6354i | −0.181714 | − | 1.03055i | ||||
\(527\) | 18.3851 | + | 15.4269i | 0.800866 | + | 0.672006i | ||||
\(528\) | 1.53209 | − | 1.28558i | 0.0666756 | − | 0.0559475i | ||||
\(529\) | −3.82026 | + | 21.6658i | −0.166098 | + | 0.941990i | ||||
\(530\) | −3.75877 | + | 1.36808i | −0.163271 | + | 0.0594256i | ||||
\(531\) | 30.0000 | 1.30189 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 8.00000 | 0.346518 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −4.86215 | + | 27.5746i | −0.210209 | + | 1.19215i | ||||
\(536\) | 2.29813 | − | 1.92836i | 0.0992642 | − | 0.0832926i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 5.20945 | + | 29.5442i | 0.224595 | + | 1.27374i | ||||
\(539\) | −2.00000 | − | 3.46410i | −0.0861461 | − | 0.149209i | ||||
\(540\) | −10.0000 | + | 17.3205i | −0.430331 | + | 0.745356i | ||||
\(541\) | −1.87939 | − | 0.684040i | −0.0808011 | − | 0.0294092i | 0.301303 | − | 0.953528i | \(-0.402578\pi\) |
−0.382104 | + | 0.924119i | \(0.624801\pi\) | |||||||
\(542\) | 6.57785 | + | 2.39414i | 0.282543 | + | 0.102837i | ||||
\(543\) | 11.0000 | − | 19.0526i | 0.472055 | − | 0.817624i | ||||
\(544\) | 1.50000 | + | 2.59808i | 0.0643120 | + | 0.111392i | ||||
\(545\) | −10.4189 | − | 59.0885i | −0.446296 | − | 2.53107i | ||||
\(546\) | −2.29813 | − | 1.92836i | −0.0983510 | − | 0.0825263i | ||||
\(547\) | −21.4492 | + | 17.9981i | −0.917103 | + | 0.769541i | −0.973457 | − | 0.228870i | \(-0.926497\pi\) |
0.0563536 | + | 0.998411i | \(0.482053\pi\) | |||||||
\(548\) | −2.95202 | + | 16.7417i | −0.126104 | + | 0.715171i | ||||
\(549\) | 3.75877 | − | 1.36808i | 0.160420 | − | 0.0583883i | ||||
\(550\) | −22.0000 | −0.938083 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | 1.00000 | 0.0425628 | ||||||||
\(553\) | −28.1908 | + | 10.2606i | −1.19879 | + | 0.436325i | ||||
\(554\) | −4.86215 | + | 27.5746i | −0.206573 | + | 1.17153i | ||||
\(555\) | −6.12836 | + | 5.14230i | −0.260134 | + | 0.218279i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 4.86215 | + | 27.5746i | 0.206016 | + | 1.16837i | 0.895833 | + | 0.444391i | \(0.146580\pi\) |
−0.689817 | + | 0.723983i | \(0.742309\pi\) | |||||||
\(558\) | −8.00000 | − | 13.8564i | −0.338667 | − | 0.586588i | ||||
\(559\) | −2.00000 | + | 3.46410i | −0.0845910 | + | 0.146516i | ||||
\(560\) | 11.2763 | + | 4.10424i | 0.476511 | + | 0.173436i | ||||
\(561\) | −5.63816 | − | 2.05212i | −0.238043 | − | 0.0866406i | ||||
\(562\) | 4.00000 | − | 6.92820i | 0.168730 | − | 0.292249i | ||||
\(563\) | −18.0000 | − | 31.1769i | −0.758610 | − | 1.31395i | −0.943560 | − | 0.331202i | \(-0.892546\pi\) |
0.184950 | − | 0.982748i | \(-0.440788\pi\) | |||||||
\(564\) | 1.38919 | + | 7.87846i | 0.0584953 | + | 0.331743i | ||||
\(565\) | 42.8985 | + | 35.9961i | 1.80475 | + | 1.51437i | ||||
\(566\) | 4.59627 | − | 3.85673i | 0.193195 | − | 0.162110i | ||||
\(567\) | 0.520945 | − | 2.95442i | 0.0218776 | − | 0.124074i | ||||
\(568\) | −1.87939 | + | 0.684040i | −0.0788573 | + | 0.0287017i | ||||
\(569\) | −40.0000 | −1.67689 | −0.838444 | − | 0.544988i | \(-0.816534\pi\) | ||||
−0.838444 | + | 0.544988i | \(0.816534\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −28.0000 | −1.17176 | −0.585882 | − | 0.810397i | \(-0.699252\pi\) | ||||
−0.585882 | + | 0.810397i | \(0.699252\pi\) | |||||||
\(572\) | −1.87939 | + | 0.684040i | −0.0785810 | + | 0.0286012i | ||||
\(573\) | 1.21554 | − | 6.89365i | 0.0507798 | − | 0.287987i | ||||
\(574\) | −18.3851 | + | 15.4269i | −0.767378 | + | 0.643906i | ||||
\(575\) | −8.42649 | − | 7.07066i | −0.351409 | − | 0.294867i | ||||
\(576\) | −0.347296 | − | 1.96962i | −0.0144707 | − | 0.0820673i | ||||
\(577\) | 18.5000 | + | 32.0429i | 0.770165 | + | 1.33397i | 0.937472 | + | 0.348060i | \(0.113160\pi\) |
−0.167307 | + | 0.985905i | \(0.553507\pi\) | |||||||
\(578\) | −4.00000 | + | 6.92820i | −0.166378 | + | 0.288175i | ||||
\(579\) | −5.63816 | − | 2.05212i | −0.234314 | − | 0.0852832i | ||||
\(580\) | 18.7939 | + | 6.84040i | 0.780372 | + | 0.284032i | ||||
\(581\) | 9.00000 | − | 15.5885i | 0.373383 | − | 0.646718i | ||||
\(582\) | 1.00000 | + | 1.73205i | 0.0414513 | + | 0.0717958i | ||||
\(583\) | 0.347296 | + | 1.96962i | 0.0143835 | + | 0.0815731i | ||||
\(584\) | −6.89440 | − | 5.78509i | −0.285292 | − | 0.239389i | ||||
\(585\) | 6.12836 | − | 5.14230i | 0.253376 | − | 0.212608i | ||||
\(586\) | 1.56283 | − | 8.86327i | 0.0645601 | − | 0.366138i | ||||
\(587\) | 11.2763 | − | 4.10424i | 0.465423 | − | 0.169400i | −0.0986548 | − | 0.995122i | \(-0.531454\pi\) |
0.564078 | + | 0.825722i | \(0.309232\pi\) | |||||||
\(588\) | 2.00000 | 0.0824786 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | −60.0000 | −2.47016 | ||||||||
\(591\) | −7.51754 | + | 2.73616i | −0.309230 | + | 0.112551i | ||||
\(592\) | 0.347296 | − | 1.96962i | 0.0142738 | − | 0.0809507i | ||||
\(593\) | 26.0455 | − | 21.8548i | 1.06956 | − | 0.897468i | 0.0745483 | − | 0.997217i | \(-0.476248\pi\) |
0.995013 | + | 0.0997492i | \(0.0318040\pi\) | |||||||
\(594\) | 7.66044 | + | 6.42788i | 0.314312 | + | 0.263739i | ||||
\(595\) | −6.25133 | − | 35.4531i | −0.256280 | − | 1.45343i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 12.5000 | − | 21.6506i | 0.511591 | − | 0.886102i | ||||
\(598\) | −0.939693 | − | 0.342020i | −0.0384269 | − | 0.0139862i | ||||
\(599\) | 0 | 0 | 0.342020 | − | 0.939693i | \(-0.388889\pi\) | ||||
−0.342020 | + | 0.939693i | \(0.611111\pi\) | |||||||
\(600\) | 5.50000 | − | 9.52628i | 0.224537 | − | 0.388909i | ||||
\(601\) | −4.00000 | − | 6.92820i | −0.163163 | − | 0.282607i | 0.772838 | − | 0.634603i | \(-0.218836\pi\) |
−0.936002 | + | 0.351996i | \(0.885503\pi\) | |||||||
\(602\) | −2.08378 | − | 11.8177i | −0.0849285 | − | 0.481653i | ||||
\(603\) | 4.59627 | + | 3.85673i | 0.187174 | + | 0.157058i | ||||
\(604\) | −1.53209 | + | 1.28558i | −0.0623398 | + | 0.0523093i | ||||
\(605\) | 4.86215 | − | 27.5746i | 0.197674 | − | 1.12107i | ||||
\(606\) | 1.87939 | − | 0.684040i | 0.0763448 | − | 0.0277872i | ||||
\(607\) | 22.0000 | 0.892952 | 0.446476 | − | 0.894795i | \(-0.352679\pi\) | ||||
0.446476 | + | 0.894795i | \(0.352679\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 15.0000 | 0.607831 | ||||||||
\(610\) | −7.51754 | + | 2.73616i | −0.304376 | + | 0.110784i | ||||
\(611\) | 1.38919 | − | 7.87846i | 0.0562004 | − | 0.318728i | ||||
\(612\) | −4.59627 | + | 3.85673i | −0.185793 | + | 0.155899i | ||||
\(613\) | 26.0455 | + | 21.8548i | 1.05197 | + | 0.882706i | 0.993299 | − | 0.115571i | \(-0.0368699\pi\) |
0.0586691 | + | 0.998277i | \(0.481314\pi\) | |||||||
\(614\) | −2.08378 | − | 11.8177i | −0.0840944 | − | 0.476923i | ||||
\(615\) | 16.0000 | + | 27.7128i | 0.645182 | + | 1.11749i | ||||
\(616\) | 3.00000 | − | 5.19615i | 0.120873 | − | 0.209359i | ||||
\(617\) | −16.9145 | − | 6.15636i | −0.680951 | − | 0.247846i | −0.0216951 | − | 0.999765i | \(-0.506906\pi\) |
−0.659256 | + | 0.751919i | \(0.729129\pi\) | |||||||
\(618\) | 5.63816 | + | 2.05212i | 0.226800 | + | 0.0825484i | ||||
\(619\) | −5.00000 | + | 8.66025i | −0.200967 | + | 0.348085i | −0.948840 | − | 0.315757i | \(-0.897742\pi\) |
0.747873 | + | 0.663842i | \(0.231075\pi\) | |||||||
\(620\) | 16.0000 | + | 27.7128i | 0.642575 | + | 1.11297i | ||||
\(621\) | 0.868241 | + | 4.92404i | 0.0348413 | + | 0.197595i | ||||
\(622\) | −5.36231 | − | 4.49951i | −0.215009 | − | 0.180414i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 0.173648 | − | 0.984808i | 0.00695149 | − | 0.0394239i | ||||
\(625\) | −38.5274 | + | 14.0228i | −1.54110 | + | 0.560913i | ||||
\(626\) | −29.0000 | −1.15907 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −2.00000 | −0.0798087 | ||||||||
\(629\) | −5.63816 | + | 2.05212i | −0.224808 | + | 0.0818234i | ||||
\(630\) | −4.16756 | + | 23.6354i | −0.166039 | + | 0.941656i | ||||
\(631\) | 24.5134 | − | 20.5692i | 0.975864 | − | 0.818847i | −0.00759632 | − | 0.999971i | \(-0.502418\pi\) |
0.983460 | + | 0.181124i | \(0.0579736\pi\) | |||||||
\(632\) | −7.66044 | − | 6.42788i | −0.304716 | − | 0.255687i | ||||
\(633\) | −4.68850 | − | 26.5898i | −0.186351 | − | 1.05685i | ||||
\(634\) | 13.5000 | + | 23.3827i | 0.536153 | + | 0.928645i | ||||
\(635\) | −36.0000 | + | 62.3538i | −1.42862 | + | 2.47444i | ||||
\(636\) | −0.939693 | − | 0.342020i | −0.0372612 | − | 0.0135620i | ||||
\(637\) | −1.87939 | − | 0.684040i | −0.0744640 | − | 0.0271027i | ||||
\(638\) | 5.00000 | − | 8.66025i | 0.197952 | − | 0.342863i | ||||
\(639\) | −2.00000 | − | 3.46410i | −0.0791188 | − | 0.137038i | ||||
\(640\) | 0.694593 | + | 3.93923i | 0.0274562 | + | 0.155712i | ||||
\(641\) | −32.1739 | − | 26.9971i | −1.27079 | − | 1.06632i | −0.994444 | − | 0.105263i | \(-0.966432\pi\) |
−0.276347 | − | 0.961058i | \(-0.589124\pi\) | |||||||
\(642\) | −5.36231 | + | 4.49951i | −0.211634 | + | 0.177582i | ||||
\(643\) | −4.51485 | + | 25.6050i | −0.178048 | + | 1.00976i | 0.756518 | + | 0.653973i | \(0.226899\pi\) |
−0.934566 | + | 0.355789i | \(0.884212\pi\) | |||||||
\(644\) | 2.81908 | − | 1.02606i | 0.111087 | − | 0.0404324i | ||||
\(645\) | −16.0000 | −0.629999 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 23.0000 | 0.904223 | 0.452112 | − | 0.891961i | \(-0.350671\pi\) | ||||
0.452112 | + | 0.891961i | \(0.350671\pi\) | |||||||
\(648\) | 0.939693 | − | 0.342020i | 0.0369146 | − | 0.0134358i | ||||
\(649\) | −5.20945 | + | 29.5442i | −0.204489 | + | 1.15971i | ||||
\(650\) | −8.42649 | + | 7.07066i | −0.330514 | + | 0.277334i | ||||
\(651\) | 18.3851 | + | 15.4269i | 0.720568 | + | 0.604628i | ||||
\(652\) | −2.77837 | − | 15.7569i | −0.108809 | − | 0.617089i | ||||
\(653\) | 18.0000 | + | 31.1769i | 0.704394 | + | 1.22005i | 0.966910 | + | 0.255119i | \(0.0821147\pi\) |
−0.262515 | + | 0.964928i | \(0.584552\pi\) | |||||||
\(654\) | 7.50000 | − | 12.9904i | 0.293273 | − | 0.507964i | ||||
\(655\) | 45.1052 | + | 16.4170i | 1.76241 | + | 0.641464i | ||||
\(656\) | −7.51754 | − | 2.73616i | −0.293511 | − | 0.106829i | ||||
\(657\) | 9.00000 | − | 15.5885i | 0.351123 | − | 0.608164i | ||||
\(658\) | 12.0000 | + | 20.7846i | 0.467809 | + | 0.810268i | ||||
\(659\) | −0.868241 | − | 4.92404i | −0.0338219 | − | 0.191813i | 0.963216 | − | 0.268729i | \(-0.0866037\pi\) |
−0.997038 | + | 0.0769161i | \(0.975493\pi\) | |||||||
\(660\) | −6.12836 | − | 5.14230i | −0.238546 | − | 0.200164i | ||||
\(661\) | 17.6190 | − | 14.7841i | 0.685301 | − | 0.575035i | −0.232249 | − | 0.972656i | \(-0.574609\pi\) |
0.917550 | + | 0.397621i | \(0.130164\pi\) | |||||||
\(662\) | 2.95202 | − | 16.7417i | 0.114733 | − | 0.650686i | ||||
\(663\) | −2.81908 | + | 1.02606i | −0.109484 | + | 0.0398489i | ||||
\(664\) | 6.00000 | 0.232845 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 4.00000 | 0.154997 | ||||||||
\(667\) | 4.69846 | − | 1.71010i | 0.181925 | − | 0.0662154i | ||||
\(668\) | 2.08378 | − | 11.8177i | 0.0806238 | − | 0.457240i | ||||
\(669\) | −10.7246 | + | 8.99903i | −0.414638 | + | 0.347922i | ||||
\(670\) | −9.19253 | − | 7.71345i | −0.355139 | − | 0.297997i | ||||
\(671\) | 0.694593 | + | 3.93923i | 0.0268145 | + | 0.152072i | ||||
\(672\) | 1.50000 | + | 2.59808i | 0.0578638 | + | 0.100223i | ||||
\(673\) | 22.0000 | − | 38.1051i | 0.848038 | − | 1.46884i | −0.0349191 | − | 0.999390i | \(-0.511117\pi\) |
0.882957 | − | 0.469454i | \(-0.155549\pi\) | |||||||
\(674\) | 30.0702 | + | 10.9446i | 1.15826 | + | 0.421572i | ||||
\(675\) | 51.6831 | + | 18.8111i | 1.98928 | + | 0.724040i | ||||
\(676\) | 6.00000 | − | 10.3923i | 0.230769 | − | 0.399704i | ||||
\(677\) | 6.50000 | + | 11.2583i | 0.249815 | + | 0.432693i | 0.963474 | − | 0.267800i | \(-0.0862968\pi\) |
−0.713659 | + | 0.700493i | \(0.752963\pi\) | |||||||
\(678\) | 2.43107 | + | 13.7873i | 0.0933649 | + | 0.529498i | ||||
\(679\) | 4.59627 | + | 3.85673i | 0.176389 | + | 0.148008i | ||||
\(680\) | 9.19253 | − | 7.71345i | 0.352518 | − | 0.295797i | ||||
\(681\) | 2.95202 | − | 16.7417i | 0.113122 | − | 0.641545i | ||||
\(682\) | 15.0351 | − | 5.47232i | 0.575723 | − | 0.209546i | ||||
\(683\) | −4.00000 | −0.153056 | −0.0765279 | − | 0.997067i | \(-0.524383\pi\) | ||||
−0.0765279 | + | 0.997067i | \(0.524383\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 68.0000 | 2.59815 | ||||||||
\(686\) | −14.0954 | + | 5.13030i | −0.538164 | + | 0.195876i | ||||
\(687\) | −1.73648 | + | 9.84808i | −0.0662509 | + | 0.375728i | ||||
\(688\) | 3.06418 | − | 2.57115i | 0.116821 | − | 0.0980242i | ||||
\(689\) | 0.766044 | + | 0.642788i | 0.0291840 | + | 0.0244883i | ||||
\(690\) | −0.694593 | − | 3.93923i | −0.0264427 | − | 0.149964i | ||||
\(691\) | −21.0000 | − | 36.3731i | −0.798878 | − | 1.38370i | −0.920348 | − | 0.391102i | \(-0.872094\pi\) |
0.121470 | − | 0.992595i | \(-0.461239\pi\) | |||||||
\(692\) | −3.00000 | + | 5.19615i | −0.114043 | + | 0.197528i | ||||
\(693\) | 11.2763 | + | 4.10424i | 0.428352 | + | 0.155907i | ||||
\(694\) | −1.87939 | − | 0.684040i | −0.0713405 | − | 0.0259658i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 2.50000 | + | 4.33013i | 0.0947623 | + | 0.164133i | ||||
\(697\) | 4.16756 | + | 23.6354i | 0.157857 | + | 0.895254i | ||||
\(698\) | −7.66044 | − | 6.42788i | −0.289952 | − | 0.243299i | ||||
\(699\) | −4.59627 | + | 3.85673i | −0.173847 | + | 0.145875i | ||||
\(700\) | 5.73039 | − | 32.4987i | 0.216588 | − | 1.22833i | ||||
\(701\) | 26.3114 | − | 9.57656i | 0.993768 | − | 0.361702i | 0.206590 | − | 0.978428i | \(-0.433764\pi\) |
0.787178 | + | 0.616726i | \(0.211541\pi\) | |||||||
\(702\) | 5.00000 | 0.188713 | ||||||||
\(703\) | 0 | 0 | ||||||||
\(704\) | 2.00000 | 0.0753778 | ||||||||
\(705\) | 30.0702 | − | 10.9446i | 1.13251 | − | 0.412199i | ||||
\(706\) | −1.56283 | + | 8.86327i | −0.0588180 | + | 0.333574i | ||||
\(707\) | 4.59627 | − | 3.85673i | 0.172860 | − | 0.145047i | ||||
\(708\) | −11.4907 | − | 9.64181i | −0.431846 | − | 0.362362i | ||||
\(709\) | −5.20945 | − | 29.5442i | −0.195645 | − | 1.10956i | −0.911498 | − | 0.411306i | \(-0.865073\pi\) |
0.715853 | − | 0.698251i | \(-0.246038\pi\) | |||||||
\(710\) | 4.00000 | + | 6.92820i | 0.150117 | + | 0.260011i | ||||
\(711\) | 10.0000 | − | 17.3205i | 0.375029 | − | 0.649570i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 7.51754 | + | 2.73616i | 0.281534 | + | 0.102470i | ||||
\(714\) | 4.50000 | − | 7.79423i | 0.168408 | − | 0.291692i | ||||
\(715\) | 4.00000 | + | 6.92820i | 0.149592 | + | 0.259100i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 11.4907 | + | 9.64181i | 0.429127 | + | 0.360080i | ||||
\(718\) | 11.4907 | − | 9.64181i | 0.428828 | − | 0.359829i | ||||
\(719\) | −0.868241 | + | 4.92404i | −0.0323799 | + | 0.183636i | −0.996708 | − | 0.0810740i | \(-0.974165\pi\) |
0.964328 | + | 0.264710i | \(0.0852761\pi\) | |||||||
\(720\) | −7.51754 | + | 2.73616i | −0.280162 | + | 0.101971i | ||||
\(721\) | 18.0000 | 0.670355 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 8.00000 | 0.297523 | ||||||||
\(724\) | 20.6732 | − | 7.52444i | 0.768315 | − | 0.279644i | ||||
\(725\) | 9.55065 | − | 54.1644i | 0.354702 | − | 2.01162i | ||||
\(726\) | 5.36231 | − | 4.49951i | 0.199014 | − | 0.166993i | ||||
\(727\) | −13.0228 | − | 10.9274i | −0.482987 | − | 0.405274i | 0.368518 | − | 0.929621i | \(-0.379865\pi\) |
−0.851505 | + | 0.524346i | \(0.824310\pi\) | |||||||
\(728\) | −0.520945 | − | 2.95442i | −0.0193075 | − | 0.109498i | ||||
\(729\) | −6.50000 | − | 11.2583i | −0.240741 | − | 0.416975i | ||||
\(730\) | −18.0000 | + | 31.1769i | −0.666210 | + | 1.15391i | ||||
\(731\) | −11.2763 | − | 4.10424i | −0.417069 | − | 0.151801i | ||||
\(732\) | −1.87939 | − | 0.684040i | −0.0694641 | − | 0.0252829i | ||||
\(733\) | 18.0000 | − | 31.1769i | 0.664845 | − | 1.15155i | −0.314482 | − | 0.949263i | \(-0.601831\pi\) |
0.979327 | − | 0.202282i | \(-0.0648358\pi\) | |||||||
\(734\) | 14.0000 | + | 24.2487i | 0.516749 | + | 0.895036i | ||||
\(735\) | −1.38919 | − | 7.87846i | −0.0512409 | − | 0.290601i | ||||
\(736\) | 0.766044 | + | 0.642788i | 0.0282368 | + | 0.0236935i | ||||
\(737\) | −4.59627 | + | 3.85673i | −0.169306 | + | 0.142064i | ||||
\(738\) | 2.77837 | − | 15.7569i | 0.102273 | − | 0.580020i | ||||
\(739\) | 37.5877 | − | 13.6808i | 1.38269 | − | 0.503257i | 0.459695 | − | 0.888077i | \(-0.347959\pi\) |
0.922991 | + | 0.384820i | \(0.125737\pi\) | |||||||
\(740\) | −8.00000 | −0.294086 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −3.00000 | −0.110133 | ||||||||
\(743\) | −15.0351 | + | 5.47232i | −0.551584 | + | 0.200760i | −0.602750 | − | 0.797930i | \(-0.705928\pi\) |
0.0511663 | + | 0.998690i | \(0.483706\pi\) | |||||||
\(744\) | −1.38919 | + | 7.87846i | −0.0509300 | + | 0.288838i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 22.2153 | + | 18.6408i | 0.813360 | + | 0.682490i | ||||
\(747\) | 2.08378 | + | 11.8177i | 0.0762415 | + | 0.432387i | ||||
\(748\) | −3.00000 | − | 5.19615i | −0.109691 | − | 0.189990i | ||||
\(749\) | −10.5000 | + | 18.1865i | −0.383662 | + | 0.664521i | ||||
\(750\) | −22.5526 | − | 8.20848i | −0.823505 | − | 0.299731i | ||||
\(751\) | 30.0702 | + | 10.9446i | 1.09728 | + | 0.399376i | 0.826311 | − | 0.563214i | \(-0.190435\pi\) |
0.270965 | + | 0.962589i | \(0.412657\pi\) | |||||||
\(752\) | −4.00000 | + | 6.92820i | −0.145865 | + | 0.252646i | ||||
\(753\) | −1.00000 | − | 1.73205i | −0.0364420 | − | 0.0631194i | ||||
\(754\) | −0.868241 | − | 4.92404i | −0.0316195 | − | 0.179323i | ||||
\(755\) | 6.12836 | + | 5.14230i | 0.223034 | + | 0.187147i | ||||
\(756\) | −11.4907 | + | 9.64181i | −0.417912 | + | 0.350669i | ||||
\(757\) | −0.347296 | + | 1.96962i | −0.0126227 | + | 0.0715869i | −0.990468 | − | 0.137740i | \(-0.956016\pi\) |
0.977846 | + | 0.209327i | \(0.0671273\pi\) | |||||||
\(758\) | −14.0954 | + | 5.13030i | −0.511968 | + | 0.186341i | ||||
\(759\) | −2.00000 | −0.0725954 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 27.0000 | 0.978749 | 0.489375 | − | 0.872074i | \(-0.337225\pi\) | ||||
0.489375 | + | 0.872074i | \(0.337225\pi\) | |||||||
\(762\) | −16.9145 | + | 6.15636i | −0.612746 | + | 0.223021i | ||||
\(763\) | 7.81417 | − | 44.3163i | 0.282892 | − | 1.60436i | ||||
\(764\) | 5.36231 | − | 4.49951i | 0.194002 | − | 0.162787i | ||||
\(765\) | 18.3851 | + | 15.4269i | 0.664713 | + | 0.557761i | ||||
\(766\) | −4.51485 | − | 25.6050i | −0.163128 | − | 0.925146i | ||||
\(767\) | 7.50000 | + | 12.9904i | 0.270809 | + | 0.469055i | ||||
\(768\) | −0.500000 | + | 0.866025i | −0.0180422 | + | 0.0312500i | ||||
\(769\) | 32.8892 | + | 11.9707i | 1.18602 | + | 0.431675i | 0.858323 | − | 0.513110i | \(-0.171507\pi\) |
0.327693 | + | 0.944784i | \(0.393729\pi\) | |||||||
\(770\) | −22.5526 | − | 8.20848i | −0.812740 | − | 0.295813i | ||||
\(771\) | 4.00000 | − | 6.92820i | 0.144056 | − | 0.249513i | ||||
\(772\) | −3.00000 | − | 5.19615i | −0.107972 | − | 0.187014i | ||||
\(773\) | −1.56283 | − | 8.86327i | −0.0562112 | − | 0.318790i | 0.943717 | − | 0.330753i | \(-0.107303\pi\) |
−0.999928 | + | 0.0119638i | \(0.996192\pi\) | |||||||
\(774\) | 6.12836 | + | 5.14230i | 0.220279 | + | 0.184836i | ||||
\(775\) | 67.4119 | − | 56.5653i | 2.42151 | − | 2.03189i | ||||
\(776\) | −0.347296 | + | 1.96962i | −0.0124672 | + | 0.0707051i | ||||
\(777\) | −5.63816 | + | 2.05212i | −0.202268 | + | 0.0736194i | ||||
\(778\) | 30.0000 | 1.07555 | ||||||||
\(779\) | 0 | 0 | ||||||||
\(780\) | −4.00000 | −0.143223 | ||||||||
\(781\) | 3.75877 | − | 1.36808i | 0.134499 | − | 0.0489538i | ||||
\(782\) | 0.520945 | − | 2.95442i | 0.0186289 | − | 0.105650i | ||||
\(783\) | −19.1511 | + | 16.0697i | −0.684405 | + | 0.574284i | ||||
\(784\) | 1.53209 | + | 1.28558i | 0.0547175 | + | 0.0459134i | ||||
\(785\) | 1.38919 | + | 7.87846i | 0.0495822 | + | 0.281194i | ||||
\(786\) | 6.00000 | + | 10.3923i | 0.214013 | + | 0.370681i | ||||
\(787\) | −8.50000 | + | 14.7224i | −0.302992 | + | 0.524798i | −0.976812 | − | 0.214097i | \(-0.931319\pi\) |
0.673820 | + | 0.738896i | \(0.264652\pi\) | |||||||
\(788\) | −7.51754 | − | 2.73616i | −0.267801 | − | 0.0974717i | ||||
\(789\) | −22.5526 | − | 8.20848i | −0.802895 | − | 0.292230i | ||||
\(790\) | −20.0000 | + | 34.6410i | −0.711568 | + | 1.23247i | ||||
\(791\) | 21.0000 | + | 36.3731i | 0.746674 | + | 1.29328i | ||||
\(792\) | 0.694593 | + | 3.93923i | 0.0246813 | + | 0.139974i | ||||
\(793\) | 1.53209 | + | 1.28558i | 0.0544061 | + | 0.0456521i | ||||
\(794\) | −6.12836 | + | 5.14230i | −0.217487 | + | 0.182493i | ||||
\(795\) | −0.694593 | + | 3.93923i | −0.0246347 | + | 0.139710i | ||||
\(796\) | 23.4923 | − | 8.55050i | 0.832663 | − | 0.303065i | ||||
\(797\) | −3.00000 | −0.106265 | −0.0531327 | − | 0.998587i | \(-0.516921\pi\) | ||||
−0.0531327 | + | 0.998587i | \(0.516921\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 24.0000 | 0.849059 | ||||||||
\(800\) | 10.3366 | − | 3.76222i | 0.365455 | − | 0.133015i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −6.12836 | + | 5.14230i | −0.216400 | + | 0.181581i | ||||
\(803\) | 13.7888 | + | 11.5702i | 0.486596 | + | 0.408303i | ||||
\(804\) | −0.520945 | − | 2.95442i | −0.0183723 | − | 0.104194i | ||||
\(805\) | −6.00000 | − | 10.3923i | −0.211472 | − | 0.366281i | ||||
\(806\) | 4.00000 | − | 6.92820i | 0.140894 | − | 0.244036i | ||||
\(807\) | 28.1908 | + | 10.2606i | 0.992362 | + | 0.361190i | ||||
\(808\) | 1.87939 | + | 0.684040i | 0.0661165 | + | 0.0240645i | ||||
\(809\) | 7.50000 | − | 12.9904i | 0.263686 | − | 0.456717i | −0.703533 | − | 0.710663i | \(-0.748395\pi\) |
0.967219 | + | 0.253946i | \(0.0817284\pi\) | |||||||
\(810\) | −2.00000 | − | 3.46410i | −0.0702728 | − | 0.121716i | ||||
\(811\) | 0.520945 | + | 2.95442i | 0.0182928 | + | 0.103744i | 0.992587 | − | 0.121535i | \(-0.0387817\pi\) |
−0.974294 | + | 0.225279i | \(0.927671\pi\) | |||||||
\(812\) | 11.4907 | + | 9.64181i | 0.403243 | + | 0.338361i | ||||
\(813\) | 5.36231 | − | 4.49951i | 0.188064 | − | 0.157805i | ||||
\(814\) | −0.694593 | + | 3.93923i | −0.0243455 | + | 0.138070i | ||||
\(815\) | −60.1403 | + | 21.8893i | −2.10662 | + | 0.766748i | ||||
\(816\) | 3.00000 | 0.105021 | ||||||||
\(817\) | 0 | 0 | ||||||||
\(818\) | −20.0000 | −0.699284 | ||||||||
\(819\) | 5.63816 | − | 2.05212i | 0.197013 | − | 0.0717069i | ||||
\(820\) | −5.55674 | + | 31.5138i | −0.194050 | + | 1.10051i | ||||
\(821\) | 9.19253 | − | 7.71345i | 0.320822 | − | 0.269201i | −0.468126 | − | 0.883662i | \(-0.655071\pi\) |
0.788948 | + | 0.614460i | \(0.210626\pi\) | |||||||
\(822\) | 13.0228 | + | 10.9274i | 0.454221 | + | 0.381136i | ||||
\(823\) | 5.03580 | + | 28.5594i | 0.175537 | + | 0.995519i | 0.937522 | + | 0.347925i | \(0.113114\pi\) |
−0.761986 | + | 0.647594i | \(0.775775\pi\) | |||||||
\(824\) | 3.00000 | + | 5.19615i | 0.104510 | + | 0.181017i | ||||
\(825\) | −11.0000 | + | 19.0526i | −0.382971 | + | 0.663325i | ||||
\(826\) | −42.2862 | − | 15.3909i | −1.47132 | − | 0.535518i | ||||
\(827\) | 21.6129 | + | 7.86646i | 0.751555 | + | 0.273544i | 0.689260 | − | 0.724514i | \(-0.257936\pi\) |
0.0622952 | + | 0.998058i | \(0.480158\pi\) | |||||||
\(828\) | −1.00000 | + | 1.73205i | −0.0347524 | + | 0.0601929i | ||||
\(829\) | −7.50000 | − | 12.9904i | −0.260486 | − | 0.451175i | 0.705885 | − | 0.708326i | \(-0.250549\pi\) |
−0.966371 | + | 0.257152i | \(0.917216\pi\) | |||||||
\(830\) | −4.16756 | − | 23.6354i | −0.144658 | − | 0.820396i | ||||
\(831\) | 21.4492 | + | 17.9981i | 0.744066 | + | 0.624346i | ||||
\(832\) | 0.766044 | − | 0.642788i | 0.0265578 | − | 0.0222847i | ||||
\(833\) | 1.04189 | − | 5.90885i | 0.0360993 | − | 0.204729i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −48.0000 | −1.66111 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −40.0000 | −1.38260 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −3.47296 | + | 19.6962i | −0.119900 | + | 0.679987i | 0.864307 | + | 0.502965i | \(0.167757\pi\) |
−0.984207 | + | 0.177022i | \(0.943354\pi\) | |||||||
\(840\) | 9.19253 | − | 7.71345i | 0.317173 | − | 0.266139i | ||||
\(841\) | −3.06418 | − | 2.57115i | −0.105661 | − | 0.0886604i | ||||
\(842\) | −2.25743 | − | 12.8025i | −0.0777960 | − | 0.441203i | ||||
\(843\) | −4.00000 | − | 6.92820i | −0.137767 | − | 0.238620i | ||||
\(844\) | 13.5000 | − | 23.3827i | 0.464689 | − | 0.804865i | ||||
\(845\) | −45.1052 | − | 16.4170i | −1.55167 | − | 0.564761i | ||||
\(846\) | −15.0351 | − | 5.47232i | −0.516917 | − | 0.188142i | ||||
\(847\) | 10.5000 | − | 18.1865i | 0.360784 | − | 0.624897i | ||||
\(848\) | −0.500000 | − | 0.866025i | −0.0171701 | − | 0.0297394i | ||||
\(849\) | −1.04189 | − | 5.90885i | −0.0357575 | − | 0.202791i | ||||
\(850\) | −25.2795 | − | 21.2120i | −0.867079 | − | 0.727565i | ||||
\(851\) | −1.53209 | + | 1.28558i | −0.0525193 | + | 0.0440690i | ||||
\(852\) | −0.347296 | + | 1.96962i | −0.0118982 | + | 0.0674779i | ||||
\(853\) | 5.63816 | − | 2.05212i | 0.193047 | − | 0.0702633i | −0.243688 | − | 0.969854i | \(-0.578357\pi\) |
0.436734 | + | 0.899590i | \(0.356135\pi\) | |||||||
\(854\) | −6.00000 | −0.205316 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −7.00000 | −0.239255 | ||||||||
\(857\) | −11.2763 | + | 4.10424i | −0.385191 | + | 0.140198i | −0.527355 | − | 0.849645i | \(-0.676816\pi\) |
0.142164 | + | 0.989843i | \(0.454594\pi\) | |||||||
\(858\) | −0.347296 | + | 1.96962i | −0.0118565 | + | 0.0672416i | ||||
\(859\) | −38.3022 | + | 32.1394i | −1.30685 | + | 1.09658i | −0.317938 | + | 0.948111i | \(0.602990\pi\) |
−0.988917 | + | 0.148470i | \(0.952565\pi\) | |||||||
\(860\) | −12.2567 | − | 10.2846i | −0.417950 | − | 0.350702i | ||||
\(861\) | 4.16756 | + | 23.6354i | 0.142030 | + | 0.805492i | ||||
\(862\) | 9.00000 | + | 15.5885i | 0.306541 | + | 0.530945i | ||||
\(863\) | 27.0000 | − | 46.7654i | 0.919091 | − | 1.59191i | 0.118291 | − | 0.992979i | \(-0.462258\pi\) |
0.800799 | − | 0.598933i | \(-0.204408\pi\) | |||||||
\(864\) | −4.69846 | − | 1.71010i | −0.159845 | − | 0.0581788i | ||||
\(865\) | 22.5526 | + | 8.20848i | 0.766812 | + | 0.279097i | ||||
\(866\) | −7.00000 | + | 12.1244i | −0.237870 | + | 0.412002i | ||||
\(867\) | 4.00000 | + | 6.92820i | 0.135847 | + | 0.235294i | ||||
\(868\) | 4.16756 | + | 23.6354i | 0.141456 | + | 0.802237i | ||||
\(869\) | 15.3209 | + | 12.8558i | 0.519726 | + | 0.436102i | ||||
\(870\) | 15.3209 | − | 12.8558i | 0.519427 | − | 0.435851i | ||||
\(871\) | −0.520945 | + | 2.95442i | −0.0176515 | + | 0.100107i | ||||
\(872\) | 14.0954 | − | 5.13030i | 0.477330 | − | 0.173734i | ||||
\(873\) | −4.00000 | −0.135379 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −72.0000 | −2.43404 | ||||||||
\(876\) | −8.45723 | + | 3.07818i | −0.285743 | + | 0.104002i | ||||
\(877\) | −2.25743 | + | 12.8025i | −0.0762279 | + | 0.432310i | 0.922679 | + | 0.385569i | \(0.125995\pi\) |
−0.998907 | + | 0.0467411i | \(0.985116\pi\) | |||||||
\(878\) | 15.3209 | − | 12.8558i | 0.517055 | − | 0.433861i | ||||
\(879\) | −6.89440 | − | 5.78509i | −0.232542 | − | 0.195126i | ||||
\(880\) | −1.38919 | − | 7.87846i | −0.0468294 | − | 0.265583i | ||||
\(881\) | 9.00000 | + | 15.5885i | 0.303218 | + | 0.525188i | 0.976863 | − | 0.213866i | \(-0.0686057\pi\) |
−0.673645 | + | 0.739055i | \(0.735272\pi\) | |||||||
\(882\) | −2.00000 | + | 3.46410i | −0.0673435 | + | 0.116642i | ||||
\(883\) | −31.9495 | − | 11.6287i | −1.07519 | − | 0.391336i | −0.257073 | − | 0.966392i | \(-0.582758\pi\) |
−0.818114 | + | 0.575055i | \(0.804980\pi\) | |||||||
\(884\) | −2.81908 | − | 1.02606i | −0.0948158 | − | 0.0345101i | ||||
\(885\) | −30.0000 | + | 51.9615i | −1.00844 | + | 1.74667i | ||||
\(886\) | −13.0000 | − | 22.5167i | −0.436744 | − | 0.756462i | ||||
\(887\) | 0.347296 | + | 1.96962i | 0.0116611 | + | 0.0661332i | 0.990083 | − | 0.140484i | \(-0.0448657\pi\) |
−0.978422 | + | 0.206617i | \(0.933755\pi\) | |||||||
\(888\) | −1.53209 | − | 1.28558i | −0.0514135 | − | 0.0431411i | ||||
\(889\) | −41.3664 | + | 34.7105i | −1.38738 | + | 1.16415i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −1.87939 | + | 0.684040i | −0.0629618 | + | 0.0229162i | ||||
\(892\) | −14.0000 | −0.468755 | ||||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −0.520945 | + | 2.95442i | −0.0174035 | + | 0.0987004i | ||||
\(897\) | −0.766044 | + | 0.642788i | −0.0255775 | + | 0.0214621i | ||||
\(898\) | 7.66044 | + | 6.42788i | 0.255632 | + | 0.214501i | ||||
\(899\) | 6.94593 | + | 39.3923i | 0.231660 | + | 1.31381i | ||||
\(900\) | 11.0000 | + | 19.0526i | 0.366667 | + | 0.635085i | ||||
\(901\) | −1.50000 | + | 2.59808i | −0.0499722 | + | 0.0865545i | ||||
\(902\) | 15.0351 | + | 5.47232i | 0.500613 | + | 0.182208i | ||||
\(903\) | −11.2763 | − | 4.10424i | −0.375252 | − | 0.136581i | ||||
\(904\) | −7.00000 | + | 12.1244i | −0.232817 | + | 0.403250i | ||||
\(905\) | −44.0000 | − | 76.2102i | −1.46261 | − | 2.53331i | ||||
\(906\) | 0.347296 | + | 1.96962i | 0.0115381 | + | 0.0654361i | ||||
\(907\) | −40.6004 | − | 34.0677i | −1.34811 | − | 1.13120i | −0.979461 | − | 0.201633i | \(-0.935375\pi\) |
−0.368652 | − | 0.929568i | \(-0.620180\pi\) | |||||||
\(908\) | 13.0228 | − | 10.9274i | 0.432175 | − | 0.362638i | ||||
\(909\) | −0.694593 | + | 3.93923i | −0.0230382 | + | 0.130656i | ||||
\(910\) | −11.2763 | + | 4.10424i | −0.373806 | + | 0.136054i | ||||
\(911\) | −12.0000 | −0.397578 | −0.198789 | − | 0.980042i | \(-0.563701\pi\) | ||||
−0.198789 | + | 0.980042i | \(0.563701\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −12.0000 | −0.397142 | ||||||||
\(914\) | −6.57785 | + | 2.39414i | −0.217576 | + | 0.0791911i | ||||
\(915\) | −1.38919 | + | 7.87846i | −0.0459251 | + | 0.260454i | ||||
\(916\) | −7.66044 | + | 6.42788i | −0.253108 | + | 0.212383i | ||||
\(917\) | 27.5776 | + | 23.1404i | 0.910693 | + | 0.764162i | ||||
\(918\) | 2.60472 | + | 14.7721i | 0.0859687 | + | 0.487552i | ||||
\(919\) | −2.50000 | − | 4.33013i | −0.0824674 | − | 0.142838i | 0.821842 | − | 0.569716i | \(-0.192947\pi\) |
−0.904309 | + | 0.426878i | \(0.859613\pi\) | |||||||
\(920\) | 2.00000 | − | 3.46410i | 0.0659380 | − | 0.114208i | ||||
\(921\) | −11.2763 | − | 4.10424i | −0.371567 | − | 0.135239i | ||||
\(922\) | −26.3114 | − | 9.57656i | −0.866520 | − | 0.315387i | ||||
\(923\) | 1.00000 | − | 1.73205i | 0.0329154 | − | 0.0570111i | ||||
\(924\) | −3.00000 | − | 5.19615i | −0.0986928 | − | 0.170941i | ||||
\(925\) | 3.82026 | + | 21.6658i | 0.125609 | + | 0.712366i | ||||
\(926\) | −3.06418 | − | 2.57115i | −0.100695 | − | 0.0844932i | ||||
\(927\) | −9.19253 | + | 7.71345i | −0.301922 | + | 0.253343i | ||||
\(928\) | −0.868241 | + | 4.92404i | −0.0285014 | + | 0.161639i | ||||
\(929\) | 51.6831 | − | 18.8111i | 1.69567 | − | 0.617172i | 0.700347 | − | 0.713803i | \(-0.253029\pi\) |
0.995320 | + | 0.0966302i | \(0.0308064\pi\) | |||||||
\(930\) | 32.0000 | 1.04932 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −6.00000 | −0.196537 | ||||||||
\(933\) | −6.57785 | + | 2.39414i | −0.215349 | + | 0.0783807i | ||||
\(934\) | 0.347296 | − | 1.96962i | 0.0113639 | − | 0.0644478i | ||||
\(935\) | −18.3851 | + | 15.4269i | −0.601256 | + | 0.504514i | ||||
\(936\) | 1.53209 | + | 1.28558i | 0.0500779 | + | 0.0420203i | ||||
\(937\) | −1.21554 | − | 6.89365i | −0.0397099 | − | 0.225206i | 0.958494 | − | 0.285112i | \(-0.0920309\pi\) |
−0.998204 | + | 0.0599064i | \(0.980920\pi\) | |||||||
\(938\) | −4.50000 | − | 7.79423i | −0.146930 | − | 0.254491i | ||||
\(939\) | −14.5000 | + | 25.1147i | −0.473190 | + | 0.819588i | ||||
\(940\) | 30.0702 | + | 10.9446i | 0.980781 | + | 0.356975i | ||||
\(941\) | 6.57785 | + | 2.39414i | 0.214432 | + | 0.0780468i | 0.447002 | − | 0.894533i | \(-0.352492\pi\) |
−0.232571 | + | 0.972579i | \(0.574714\pi\) | |||||||
\(942\) | −1.00000 | + | 1.73205i | −0.0325818 | + | 0.0564333i | ||||
\(943\) | 4.00000 | + | 6.92820i | 0.130258 | + | 0.225613i | ||||
\(944\) | −2.60472 | − | 14.7721i | −0.0847765 | − | 0.480791i | ||||
\(945\) | 45.9627 | + | 38.5673i | 1.49517 | + | 1.25459i | ||||
\(946\) | −6.12836 | + | 5.14230i | −0.199250 | + | 0.167191i | ||||
\(947\) | −2.08378 | + | 11.8177i | −0.0677137 | + | 0.384023i | 0.932051 | + | 0.362327i | \(0.118018\pi\) |
−0.999765 | + | 0.0216961i | \(0.993093\pi\) | |||||||
\(948\) | −9.39693 | + | 3.42020i | −0.305198 | + | 0.111083i | ||||
\(949\) | 9.00000 | 0.292152 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 27.0000 | 0.875535 | ||||||||
\(952\) | 8.45723 | − | 3.07818i | 0.274101 | − | 0.0997644i | ||||
\(953\) | 7.98782 | − | 45.3012i | 0.258751 | − | 1.46745i | −0.527507 | − | 0.849550i | \(-0.676873\pi\) |
0.786258 | − | 0.617898i | \(-0.212016\pi\) | |||||||
\(954\) | 1.53209 | − | 1.28558i | 0.0496032 | − | 0.0416220i | ||||
\(955\) | −21.4492 | − | 17.9981i | −0.694081 | − | 0.582403i | ||||
\(956\) | 2.60472 | + | 14.7721i | 0.0842428 | + | 0.477764i | ||||
\(957\) | −5.00000 | − | 8.66025i | −0.161627 | − | 0.279946i | ||||
\(958\) | −10.0000 | + | 17.3205i | −0.323085 | + | 0.559600i | ||||
\(959\) | 47.9243 | + | 17.4430i | 1.54756 | + | 0.563265i | ||||
\(960\) | 3.75877 | + | 1.36808i | 0.121314 | + | 0.0441546i | ||||
\(961\) | −16.5000 | + | 28.5788i | −0.532258 | + | 0.921898i | ||||
\(962\) | 1.00000 | + | 1.73205i | 0.0322413 | + | 0.0558436i | ||||
\(963\) | −2.43107 | − | 13.7873i | −0.0783403 | − | 0.444290i | ||||
\(964\) | 6.12836 | + | 5.14230i | 0.197381 | + | 0.165622i | ||||
\(965\) | −18.3851 | + | 15.4269i | −0.591836 | + | 0.496610i | ||||
\(966\) | 0.520945 | − | 2.95442i | 0.0167611 | − | 0.0950570i | ||||
\(967\) | −45.1052 | + | 16.4170i | −1.45049 | + | 0.527934i | −0.942727 | − | 0.333565i | \(-0.891748\pi\) |
−0.507760 | + | 0.861499i | \(0.669526\pi\) | |||||||
\(968\) | 7.00000 | 0.224989 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 8.00000 | 0.256865 | ||||||||
\(971\) | −26.3114 | + | 9.57656i | −0.844373 | + | 0.307327i | −0.727744 | − | 0.685849i | \(-0.759431\pi\) |
−0.116629 | + | 0.993176i | \(0.537209\pi\) | |||||||
\(972\) | 2.77837 | − | 15.7569i | 0.0891163 | − | 0.505404i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −1.53209 | − | 1.28558i | −0.0490913 | − | 0.0411925i | ||||
\(975\) | 1.91013 | + | 10.8329i | 0.0611731 | + | 0.346930i | ||||
\(976\) | −1.00000 | − | 1.73205i | −0.0320092 | − | 0.0554416i | ||||
\(977\) | 4.00000 | − | 6.92820i | 0.127971 | − | 0.221653i | −0.794919 | − | 0.606715i | \(-0.792487\pi\) |
0.922890 | + | 0.385063i | \(0.125820\pi\) | |||||||
\(978\) | −15.0351 | − | 5.47232i | −0.480769 | − | 0.174986i | ||||
\(979\) | 0 | 0 | ||||||||
\(980\) | 4.00000 | − | 6.92820i | 0.127775 | − | 0.221313i | ||||
\(981\) | 15.0000 | + | 25.9808i | 0.478913 | + | 0.829502i | ||||
\(982\) | 4.86215 | + | 27.5746i | 0.155157 | + | 0.879941i | ||||
\(983\) | 4.59627 | + | 3.85673i | 0.146598 | + | 0.123010i | 0.713137 | − | 0.701024i | \(-0.247274\pi\) |
−0.566539 | + | 0.824035i | \(0.691718\pi\) | |||||||
\(984\) | −6.12836 | + | 5.14230i | −0.195365 | + | 0.163931i | ||||
\(985\) | −5.55674 | + | 31.5138i | −0.177053 | + | 1.00411i | ||||
\(986\) | 14.0954 | − | 5.13030i | 0.448889 | − | 0.163382i | ||||
\(987\) | 24.0000 | 0.763928 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −4.00000 | −0.127193 | ||||||||
\(990\) | 15.0351 | − | 5.47232i | 0.477846 | − | 0.173922i | ||||
\(991\) | 1.38919 | − | 7.87846i | 0.0441289 | − | 0.250268i | −0.954761 | − | 0.297374i | \(-0.903889\pi\) |
0.998890 | + | 0.0471069i | \(0.0150001\pi\) | |||||||
\(992\) | −6.12836 | + | 5.14230i | −0.194575 | + | 0.163268i | ||||
\(993\) | −13.0228 | − | 10.9274i | −0.413265 | − | 0.346770i | ||||
\(994\) | 1.04189 | + | 5.90885i | 0.0330467 | + | 0.187417i | ||||
\(995\) | −50.0000 | − | 86.6025i | −1.58511 | − | 2.74549i | ||||
\(996\) | 3.00000 | − | 5.19615i | 0.0950586 | − | 0.164646i | ||||
\(997\) | −26.3114 | − | 9.57656i | −0.833290 | − | 0.303293i | −0.110082 | − | 0.993923i | \(-0.535111\pi\) |
−0.723209 | + | 0.690630i | \(0.757333\pi\) | |||||||
\(998\) | 37.5877 | + | 13.6808i | 1.18982 | + | 0.433058i | ||||
\(999\) | 5.00000 | − | 8.66025i | 0.158193 | − | 0.273998i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))