Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [605,2,Mod(9,605)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(605, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("605.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 605 = 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 605.j (of order \(10\), degree \(4\), 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: | \(4.83094932229\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{10})\) |
Coefficient field: | 16.0.343361479062744140625.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - x^{15} + 3 x^{14} - 8 x^{13} + 8 x^{12} + 7 x^{11} + 6 x^{10} + 56 x^{9} - 137 x^{8} + \cdots + 6561 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{4} \) |
Twist minimal: | no (minimal twist has level 55) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 444.3 | ||
Root | \(1.13127 - 1.31158i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 605.444 |
Dual form | 605.2.j.i.124.3 |
$q$-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 \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(486\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.465695 | − | 0.640974i | 0.329296 | − | 0.453237i | −0.611981 | − | 0.790872i | \(-0.709627\pi\) |
0.941277 | + | 0.337636i | \(0.109627\pi\) | |||||||
\(3\) | −2.40079 | − | 0.780063i | −1.38610 | − | 0.450370i | −0.481427 | − | 0.876486i | \(-0.659881\pi\) |
−0.904668 | + | 0.426116i | \(0.859881\pi\) | |||||||
\(4\) | 0.424058 | + | 1.30512i | 0.212029 | + | 0.652559i | ||||
\(5\) | 2.04481 | − | 0.904839i | 0.914469 | − | 0.404656i | ||||
\(6\) | −1.61803 | + | 1.17557i | −0.660560 | + | 0.479925i | ||||
\(7\) | −3.29456 | + | 1.07047i | −1.24523 | + | 0.404598i | −0.856208 | − | 0.516632i | \(-0.827186\pi\) |
−0.389018 | + | 0.921230i | \(0.627186\pi\) | |||||||
\(8\) | 2.54105 | + | 0.825636i | 0.898396 | + | 0.291906i | ||||
\(9\) | 2.72823 | + | 1.98218i | 0.909411 | + | 0.660726i | ||||
\(10\) | 0.372281 | − | 1.73205i | 0.117726 | − | 0.547723i | ||||
\(11\) | 0 | 0 | ||||||||
\(12\) | − | 3.46410i | − | 1.00000i | ||||||
\(13\) | 0 | 0 | −0.809017 | − | 0.587785i | \(-0.800000\pi\) | ||||
0.809017 | + | 0.587785i | \(0.200000\pi\) | |||||||
\(14\) | −0.848116 | + | 2.61023i | −0.226669 | + | 0.697614i | ||||
\(15\) | −5.61500 | + | 0.577241i | −1.44979 | + | 0.149043i | ||||
\(16\) | −0.507835 | + | 0.368964i | −0.126959 | + | 0.0922409i | ||||
\(17\) | 2.96754 | + | 4.08446i | 0.719733 | + | 0.990628i | 0.999533 | + | 0.0305696i | \(0.00973211\pi\) |
−0.279799 | + | 0.960059i | \(0.590268\pi\) | |||||||
\(18\) | 2.54105 | − | 0.825636i | 0.598930 | − | 0.194604i | ||||
\(19\) | −1.23607 | + | 3.80423i | −0.283573 | + | 0.872749i | 0.703249 | + | 0.710943i | \(0.251732\pi\) |
−0.986823 | + | 0.161806i | \(0.948268\pi\) | |||||||
\(20\) | 2.04804 | + | 2.28502i | 0.457956 | + | 0.510946i | ||||
\(21\) | 8.74456 | 1.90822 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 2.52434i | 0.526361i | 0.964747 | + | 0.263180i | \(0.0847714\pi\) | ||||
−0.964747 | + | 0.263180i | \(0.915229\pi\) | |||||||
\(24\) | −5.45647 | − | 3.96435i | −1.11380 | − | 0.809220i | ||||
\(25\) | 3.36253 | − | 3.70046i | 0.672507 | − | 0.740091i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −0.552379 | − | 0.760285i | −0.106305 | − | 0.146317i | ||||
\(28\) | −2.79417 | − | 3.84584i | −0.528048 | − | 0.726796i | ||||
\(29\) | 0.848116 | + | 2.61023i | 0.157491 | + | 0.484708i | 0.998405 | − | 0.0564612i | \(-0.0179817\pi\) |
−0.840914 | + | 0.541170i | \(0.817982\pi\) | |||||||
\(30\) | −2.24488 | + | 3.86788i | −0.409857 | + | 0.706176i | ||||
\(31\) | 1.91922 | + | 1.39439i | 0.344701 | + | 0.250440i | 0.746643 | − | 0.665225i | \(-0.231664\pi\) |
−0.401941 | + | 0.915665i | \(0.631664\pi\) | |||||||
\(32\) | 5.84096i | 1.03255i | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 4.00000 | 0.685994 | ||||||||
\(35\) | −5.76816 | + | 5.16995i | −0.974997 | + | 0.873881i | ||||
\(36\) | −1.43004 | + | 4.40122i | −0.238341 | + | 0.733537i | ||||
\(37\) | 10.4969 | − | 3.41066i | 1.72568 | − | 0.560708i | 0.732868 | − | 0.680370i | \(-0.238181\pi\) |
0.992815 | + | 0.119662i | \(0.0381811\pi\) | |||||||
\(38\) | 1.86278 | + | 2.56389i | 0.302183 | + | 0.415919i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 5.94304 | − | 0.610965i | 0.939677 | − | 0.0966020i | ||||
\(41\) | −0.848116 | + | 2.61023i | −0.132454 | + | 0.407650i | −0.995185 | − | 0.0980119i | \(-0.968752\pi\) |
0.862732 | + | 0.505662i | \(0.168752\pi\) | |||||||
\(42\) | 4.07230 | − | 5.60503i | 0.628369 | − | 0.864876i | ||||
\(43\) | − | 3.46410i | − | 0.528271i | −0.964486 | − | 0.264135i | \(-0.914913\pi\) | ||
0.964486 | − | 0.264135i | \(-0.0850865\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 7.37228 | + | 1.58457i | 1.09899 | + | 0.236214i | ||||
\(46\) | 1.61803 | + | 1.17557i | 0.238566 | + | 0.173328i | ||||
\(47\) | 6.30860 | + | 2.04979i | 0.920203 | + | 0.298992i | 0.730550 | − | 0.682859i | \(-0.239264\pi\) |
0.189653 | + | 0.981851i | \(0.439264\pi\) | |||||||
\(48\) | 1.50702 | − | 0.489660i | 0.217520 | − | 0.0706764i | ||||
\(49\) | 4.04508 | − | 2.93893i | 0.577869 | − | 0.419847i | ||||
\(50\) | −0.805980 | − | 3.87858i | −0.113983 | − | 0.548514i | ||||
\(51\) | −3.93829 | − | 12.1208i | −0.551470 | − | 1.69725i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 1.86278 | − | 2.56389i | 0.255872 | − | 0.352178i | −0.661685 | − | 0.749782i | \(-0.730158\pi\) |
0.917557 | + | 0.397604i | \(0.130158\pi\) | |||||||
\(54\) | −0.744563 | −0.101322 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −9.25544 | −1.23681 | ||||||||
\(57\) | 5.93507 | − | 8.16893i | 0.786120 | − | 1.08200i | ||||
\(58\) | 2.06805 | + | 0.671952i | 0.271549 | + | 0.0882316i | ||||
\(59\) | 0.502993 | + | 1.54805i | 0.0654841 | + | 0.201539i | 0.978445 | − | 0.206508i | \(-0.0662099\pi\) |
−0.912961 | + | 0.408047i | \(0.866210\pi\) | |||||||
\(60\) | −3.13445 | − | 7.08345i | −0.404656 | − | 0.914469i | ||||
\(61\) | −8.69253 | + | 6.31550i | −1.11296 | + | 0.808616i | −0.983128 | − | 0.182919i | \(-0.941445\pi\) |
−0.129837 | + | 0.991535i | \(0.541445\pi\) | |||||||
\(62\) | 1.78754 | − | 0.580806i | 0.227017 | − | 0.0737624i | ||||
\(63\) | −11.1102 | − | 3.60991i | −1.39975 | − | 0.454806i | ||||
\(64\) | 2.72823 | + | 1.98218i | 0.341029 | + | 0.247772i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | − | 0.644810i | − | 0.0787761i | −0.999224 | − | 0.0393880i | \(-0.987459\pi\) | ||
0.999224 | − | 0.0393880i | \(-0.0125408\pi\) | |||||||
\(68\) | −4.07230 | + | 5.60503i | −0.493838 | + | 0.679710i | ||||
\(69\) | 1.96914 | − | 6.06040i | 0.237057 | − | 0.729586i | ||||
\(70\) | 0.627600 | + | 6.10485i | 0.0750126 | + | 0.729670i | ||||
\(71\) | −5.75765 | + | 4.18318i | −0.683307 | + | 0.496452i | −0.874453 | − | 0.485110i | \(-0.838780\pi\) |
0.191146 | + | 0.981562i | \(0.438780\pi\) | |||||||
\(72\) | 5.29601 | + | 7.28933i | 0.624141 | + | 0.859056i | ||||
\(73\) | −6.58911 | + | 2.14093i | −0.771197 | + | 0.250577i | −0.668077 | − | 0.744092i | \(-0.732883\pi\) |
−0.103120 | + | 0.994669i | \(0.532883\pi\) | |||||||
\(74\) | 2.70222 | − | 8.31657i | 0.314127 | − | 0.966782i | ||||
\(75\) | −10.9593 | + | 6.26102i | −1.26547 | + | 0.722960i | ||||
\(76\) | −5.48913 | −0.629646 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 10.3106 | + | 7.49107i | 1.16003 | + | 0.842811i | 0.989782 | − | 0.142591i | \(-0.0455432\pi\) |
0.170248 | + | 0.985401i | \(0.445543\pi\) | |||||||
\(80\) | −0.704576 | + | 1.21397i | −0.0787740 | + | 0.135726i | ||||
\(81\) | −2.39320 | − | 7.36552i | −0.265911 | − | 0.818391i | ||||
\(82\) | 1.27813 | + | 1.75919i | 0.141146 | + | 0.194270i | ||||
\(83\) | −3.89893 | − | 5.36641i | −0.427963 | − | 0.589040i | 0.539521 | − | 0.841972i | \(-0.318605\pi\) |
−0.967484 | + | 0.252932i | \(0.918605\pi\) | |||||||
\(84\) | 3.70820 | + | 11.4127i | 0.404598 | + | 1.24523i | ||||
\(85\) | 9.76384 | + | 5.66683i | 1.05904 | + | 0.614654i | ||||
\(86\) | −2.22040 | − | 1.61321i | −0.239432 | − | 0.173957i | ||||
\(87\) | − | 6.92820i | − | 0.742781i | ||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 4.37228 | 0.463461 | 0.231730 | − | 0.972780i | \(-0.425561\pi\) | ||||
0.231730 | + | 0.972780i | \(0.425561\pi\) | |||||||
\(90\) | 4.44890 | − | 3.98751i | 0.468955 | − | 0.420321i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −3.29456 | + | 1.07047i | −0.343481 | + | 0.111604i | ||||
\(93\) | −3.51992 | − | 4.84475i | −0.364998 | − | 0.502377i | ||||
\(94\) | 4.25174 | − | 3.08907i | 0.438533 | − | 0.318613i | ||||
\(95\) | 0.914681 | + | 8.89738i | 0.0938443 | + | 0.912852i | ||||
\(96\) | 4.55632 | − | 14.0229i | 0.465028 | − | 1.43121i | ||||
\(97\) | −2.41516 | + | 3.32418i | −0.245222 | + | 0.337519i | −0.913831 | − | 0.406095i | \(-0.866890\pi\) |
0.668609 | + | 0.743614i | \(0.266890\pi\) | |||||||
\(98\) | − | 3.96143i | − | 0.400165i | ||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 6.25544 | + | 2.81929i | 0.625544 | + | 0.281929i | ||||
\(101\) | −4.85410 | − | 3.52671i | −0.483001 | − | 0.350921i | 0.319485 | − | 0.947591i | \(-0.396490\pi\) |
−0.802486 | + | 0.596670i | \(0.796490\pi\) | |||||||
\(102\) | −9.60315 | − | 3.12025i | −0.950854 | − | 0.308951i | ||||
\(103\) | −9.88367 | + | 3.21140i | −0.973867 | + | 0.316429i | −0.752376 | − | 0.658734i | \(-0.771092\pi\) |
−0.221491 | + | 0.975162i | \(0.571092\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 17.8810 | − | 7.91242i | 1.74501 | − | 0.772173i | ||||
\(106\) | −0.775903 | − | 2.38798i | −0.0753624 | − | 0.231941i | ||||
\(107\) | 6.30860 | + | 2.04979i | 0.609875 | + | 0.198160i | 0.597640 | − | 0.801765i | \(-0.296105\pi\) |
0.0122352 | + | 0.999925i | \(0.496105\pi\) | |||||||
\(108\) | 0.758020 | − | 1.04332i | 0.0729405 | − | 0.100394i | ||||
\(109\) | −10.0000 | −0.957826 | −0.478913 | − | 0.877862i | \(-0.658969\pi\) | ||||
−0.478913 | + | 0.877862i | \(0.658969\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −27.8614 | −2.64449 | ||||||||
\(112\) | 1.27813 | − | 1.75919i | 0.120772 | − | 0.166228i | ||||
\(113\) | −15.2985 | − | 4.97078i | −1.43916 | − | 0.467612i | −0.517526 | − | 0.855668i | \(-0.673147\pi\) |
−0.921636 | + | 0.388056i | \(0.873147\pi\) | |||||||
\(114\) | −2.47214 | − | 7.60845i | −0.231537 | − | 0.712597i | ||||
\(115\) | 2.28412 | + | 5.16180i | 0.212995 | + | 0.481341i | ||||
\(116\) | −3.04701 | + | 2.21378i | −0.282908 | + | 0.205545i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 1.22650 | + | 0.398515i | 0.112909 | + | 0.0366862i | ||||
\(119\) | −14.1490 | − | 10.2798i | −1.29704 | − | 0.942352i | ||||
\(120\) | −14.7446 | − | 3.16915i | −1.34599 | − | 0.289302i | ||||
\(121\) | 0 | 0 | ||||||||
\(122\) | 8.51278i | 0.770711i | ||||||||
\(123\) | 4.07230 | − | 5.60503i | 0.367187 | − | 0.505389i | ||||
\(124\) | −1.00599 | + | 3.09610i | −0.0903402 | + | 0.278038i | ||||
\(125\) | 3.52744 | − | 10.6093i | 0.315504 | − | 0.948924i | ||||
\(126\) | −7.48781 | + | 5.44021i | −0.667067 | + | 0.484652i | ||||
\(127\) | −6.86646 | − | 9.45088i | −0.609300 | − | 0.838630i | 0.387220 | − | 0.921988i | \(-0.373436\pi\) |
−0.996520 | + | 0.0833579i | \(0.973436\pi\) | |||||||
\(128\) | −8.56912 | + | 2.78428i | −0.757411 | + | 0.246098i | ||||
\(129\) | −2.70222 | + | 8.31657i | −0.237917 | + | 0.732233i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 8.74456 | 0.764016 | 0.382008 | − | 0.924159i | \(-0.375233\pi\) | ||||
0.382008 | + | 0.924159i | \(0.375233\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | − | 13.8564i | − | 1.20150i | ||||||
\(134\) | −0.413306 | − | 0.300285i | −0.0357042 | − | 0.0259406i | ||||
\(135\) | −1.81745 | − | 1.05483i | −0.156421 | − | 0.0907851i | ||||
\(136\) | 4.16837 | + | 12.8289i | 0.357435 | + | 1.10007i | ||||
\(137\) | 1.31040 | + | 1.80361i | 0.111955 | + | 0.154093i | 0.861317 | − | 0.508067i | \(-0.169640\pi\) |
−0.749362 | + | 0.662160i | \(0.769640\pi\) | |||||||
\(138\) | −2.96754 | − | 4.08446i | −0.252614 | − | 0.347693i | ||||
\(139\) | −5.63452 | − | 17.3413i | −0.477914 | − | 1.47087i | −0.841988 | − | 0.539497i | \(-0.818614\pi\) |
0.364074 | − | 0.931370i | \(-0.381386\pi\) | |||||||
\(140\) | −9.19342 | − | 5.33576i | −0.776986 | − | 0.450954i | ||||
\(141\) | −13.5466 | − | 9.84221i | −1.14083 | − | 0.828863i | ||||
\(142\) | 5.63858i | 0.473179i | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | −2.11684 | −0.176404 | ||||||||
\(145\) | 4.09608 | + | 4.57004i | 0.340161 | + | 0.379521i | ||||
\(146\) | −1.69623 | + | 5.22047i | −0.140381 | + | 0.432049i | ||||
\(147\) | −12.0039 | + | 3.90032i | −0.990068 | + | 0.321693i | ||||
\(148\) | 8.90261 | + | 12.2534i | 0.731790 | + | 1.00722i | ||||
\(149\) | 9.29490 | − | 6.75314i | 0.761468 | − | 0.553239i | −0.137892 | − | 0.990447i | \(-0.544033\pi\) |
0.899360 | + | 0.437209i | \(0.144033\pi\) | |||||||
\(150\) | −1.09055 | + | 9.94036i | −0.0890428 | + | 0.811627i | ||||
\(151\) | 6.87059 | − | 21.1455i | 0.559120 | − | 1.72080i | −0.125685 | − | 0.992070i | \(-0.540113\pi\) |
0.684806 | − | 0.728726i | \(-0.259887\pi\) | |||||||
\(152\) | −6.28181 | + | 8.64617i | −0.509522 | + | 0.701297i | ||||
\(153\) | 17.0256i | 1.37643i | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 5.18614 | + | 1.11469i | 0.416561 | + | 0.0895342i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 5.13431 | + | 1.66824i | 0.409762 | + | 0.133140i | 0.506643 | − | 0.862156i | \(-0.330886\pi\) |
−0.0968802 | + | 0.995296i | \(0.530886\pi\) | |||||||
\(158\) | 9.60315 | − | 3.12025i | 0.763986 | − | 0.248234i | ||||
\(159\) | −6.47214 | + | 4.70228i | −0.513274 | + | 0.372915i | ||||
\(160\) | 5.28513 | + | 11.9437i | 0.417826 | + | 0.944231i | ||||
\(161\) | −2.70222 | − | 8.31657i | −0.212965 | − | 0.655438i | ||||
\(162\) | −5.83560 | − | 1.89610i | −0.458488 | − | 0.148972i | ||||
\(163\) | 2.03615 | − | 2.80252i | 0.159483 | − | 0.219510i | −0.721796 | − | 0.692106i | \(-0.756683\pi\) |
0.881279 | + | 0.472596i | \(0.156683\pi\) | |||||||
\(164\) | −3.76631 | −0.294100 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −5.25544 | −0.407901 | ||||||||
\(167\) | −13.1483 | + | 18.0970i | −1.01744 | + | 1.40039i | −0.103464 | + | 0.994633i | \(0.532993\pi\) |
−0.913980 | + | 0.405759i | \(0.867007\pi\) | |||||||
\(168\) | 22.2203 | + | 7.21983i | 1.71434 | + | 0.557022i | ||||
\(169\) | 4.01722 | + | 12.3637i | 0.309017 | + | 0.951057i | ||||
\(170\) | 8.17926 | − | 3.61936i | 0.627320 | − | 0.277592i | ||||
\(171\) | −10.9129 | + | 7.92871i | −0.834533 | + | 0.606324i | ||||
\(172\) | 4.52106 | − | 1.46898i | 0.344727 | − | 0.112009i | ||||
\(173\) | 1.78754 | + | 0.580806i | 0.135904 | + | 0.0441579i | 0.376179 | − | 0.926547i | \(-0.377238\pi\) |
−0.240275 | + | 0.970705i | \(0.577238\pi\) | |||||||
\(174\) | −4.44080 | − | 3.22643i | −0.336656 | − | 0.244595i | ||||
\(175\) | −7.11684 | + | 15.7908i | −0.537983 | + | 1.19368i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | − | 4.10891i | − | 0.308845i | ||||||
\(178\) | 2.03615 | − | 2.80252i | 0.152616 | − | 0.210058i | ||||
\(179\) | 4.90144 | − | 15.0851i | 0.366351 | − | 1.12751i | −0.582780 | − | 0.812630i | \(-0.698035\pi\) |
0.949131 | − | 0.314883i | \(-0.101965\pi\) | |||||||
\(180\) | 1.05822 | + | 10.2936i | 0.0788752 | + | 0.767243i | ||||
\(181\) | −5.56859 | + | 4.04582i | −0.413910 | + | 0.300723i | −0.775183 | − | 0.631737i | \(-0.782342\pi\) |
0.361273 | + | 0.932460i | \(0.382342\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 25.7954 | − | 8.38144i | 1.90685 | − | 0.619574i | ||||
\(184\) | −2.08418 | + | 6.41446i | −0.153648 | + | 0.472880i | ||||
\(185\) | 18.3782 | − | 16.4722i | 1.35119 | − | 1.21106i | ||||
\(186\) | −4.74456 | −0.347888 | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | 9.10268i | 0.663881i | ||||||||
\(189\) | 2.63370 | + | 1.91350i | 0.191574 | + | 0.139187i | ||||
\(190\) | 6.12895 | + | 3.55717i | 0.444641 | + | 0.258065i | ||||
\(191\) | −4.21120 | − | 12.9607i | −0.304711 | − | 0.937806i | −0.979785 | − | 0.200055i | \(-0.935888\pi\) |
0.675073 | − | 0.737751i | \(-0.264112\pi\) | |||||||
\(192\) | −5.00368 | − | 6.88698i | −0.361110 | − | 0.497025i | ||||
\(193\) | 13.7329 | + | 18.9018i | 0.988518 | + | 1.36058i | 0.932112 | + | 0.362170i | \(0.117964\pi\) |
0.0564056 | + | 0.998408i | \(0.482036\pi\) | |||||||
\(194\) | 1.00599 | + | 3.09610i | 0.0722255 | + | 0.222287i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 5.55099 | + | 4.03303i | 0.396500 | + | 0.288074i | ||||
\(197\) | 1.87953i | 0.133911i | 0.997756 | + | 0.0669554i | \(0.0213285\pi\) | ||||
−0.997756 | + | 0.0669554i | \(0.978671\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 8.00000 | 0.567105 | 0.283552 | − | 0.958957i | \(-0.408487\pi\) | ||||
0.283552 | + | 0.958957i | \(0.408487\pi\) | |||||||
\(200\) | 11.5996 | − | 6.62680i | 0.820214 | − | 0.468586i | ||||
\(201\) | −0.502993 | + | 1.54805i | −0.0354784 | + | 0.109191i | ||||
\(202\) | −4.52106 | + | 1.46898i | −0.318101 | + | 0.103357i | ||||
\(203\) | −5.58834 | − | 7.69168i | −0.392224 | − | 0.539850i | ||||
\(204\) | 14.1490 | − | 10.2798i | 0.990628 | − | 0.719733i | ||||
\(205\) | 0.627600 | + | 6.10485i | 0.0438335 | + | 0.426381i | ||||
\(206\) | −2.54435 | + | 7.83070i | −0.177273 | + | 0.545591i | ||||
\(207\) | −5.00368 | + | 6.88698i | −0.347780 | + | 0.478678i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 3.25544 | − | 15.1460i | 0.224647 | − | 1.04518i | ||||
\(211\) | 17.3851 | + | 12.6310i | 1.19684 | + | 0.869553i | 0.993970 | − | 0.109653i | \(-0.0349739\pi\) |
0.202867 | + | 0.979206i | \(0.434974\pi\) | |||||||
\(212\) | 4.13611 | + | 1.34390i | 0.284069 | + | 0.0922997i | ||||
\(213\) | 17.0860 | − | 5.55159i | 1.17072 | − | 0.380389i | ||||
\(214\) | 4.25174 | − | 3.08907i | 0.290643 | − | 0.211164i | ||||
\(215\) | −3.13445 | − | 7.08345i | −0.213768 | − | 0.483087i | ||||
\(216\) | −0.775903 | − | 2.38798i | −0.0527935 | − | 0.162482i | ||||
\(217\) | −7.81561 | − | 2.53945i | −0.530558 | − | 0.172389i | ||||
\(218\) | −4.65695 | + | 6.40974i | −0.315408 | + | 0.434122i | ||||
\(219\) | 17.4891 | 1.18181 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 0 | 0 | ||||||||
\(222\) | −12.9749 | + | 17.8584i | −0.870819 | + | 1.19858i | ||||
\(223\) | −7.20236 | − | 2.34019i | −0.482306 | − | 0.156711i | 0.0577650 | − | 0.998330i | \(-0.481603\pi\) |
−0.540071 | + | 0.841620i | \(0.681603\pi\) | |||||||
\(224\) | −6.25255 | − | 19.2434i | −0.417766 | − | 1.28575i | ||||
\(225\) | 16.5087 | − | 3.43057i | 1.10058 | − | 0.228704i | ||||
\(226\) | −10.3106 | + | 7.49107i | −0.685849 | + | 0.498298i | ||||
\(227\) | 9.32263 | − | 3.02911i | 0.618765 | − | 0.201049i | 0.0171731 | − | 0.999853i | \(-0.494533\pi\) |
0.601592 | + | 0.798804i | \(0.294533\pi\) | |||||||
\(228\) | 13.1782 | + | 4.28187i | 0.872749 | + | 0.283573i | ||||
\(229\) | 16.4815 | + | 11.9745i | 1.08913 | + | 0.791299i | 0.979252 | − | 0.202646i | \(-0.0649541\pi\) |
0.109878 | + | 0.993945i | \(0.464954\pi\) | |||||||
\(230\) | 4.37228 | + | 0.939764i | 0.288300 | + | 0.0619662i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 7.33296i | 0.481433i | ||||||||
\(233\) | 10.0074 | − | 13.7740i | 0.655605 | − | 0.902362i | −0.343721 | − | 0.939072i | \(-0.611688\pi\) |
0.999326 | + | 0.0367094i | \(0.0116876\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 14.7546 | − | 1.51683i | 0.962486 | − | 0.0989469i | ||||
\(236\) | −1.80709 | + | 1.31293i | −0.117632 | + | 0.0854644i | ||||
\(237\) | −18.9100 | − | 26.0274i | −1.22834 | − | 1.69066i | ||||
\(238\) | −13.1782 | + | 4.28187i | −0.854217 | + | 0.277552i | ||||
\(239\) | 1.00599 | − | 3.09610i | 0.0650718 | − | 0.200270i | −0.913234 | − | 0.407435i | \(-0.866423\pi\) |
0.978306 | + | 0.207164i | \(0.0664234\pi\) | |||||||
\(240\) | 2.63851 | − | 2.36487i | 0.170315 | − | 0.152652i | ||||
\(241\) | 5.25544 | 0.338532 | 0.169266 | − | 0.985570i | \(-0.445860\pi\) | ||||
0.169266 | + | 0.985570i | \(0.445860\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 22.3692i | 1.43498i | ||||||||
\(244\) | −11.9286 | − | 8.66664i | −0.763650 | − | 0.554825i | ||||
\(245\) | 5.61219 | − | 9.66971i | 0.358550 | − | 0.617775i | ||||
\(246\) | −1.69623 | − | 5.22047i | −0.108148 | − | 0.332845i | ||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 3.72556 | + | 5.12779i | 0.236573 | + | 0.325615i | ||||
\(249\) | 5.17435 | + | 15.9250i | 0.327911 | + | 1.00921i | ||||
\(250\) | −5.15757 | − | 7.20169i | −0.326193 | − | 0.455475i | ||||
\(251\) | 3.95056 | + | 2.87025i | 0.249357 | + | 0.181168i | 0.705442 | − | 0.708768i | \(-0.250749\pi\) |
−0.456085 | + | 0.889936i | \(0.650749\pi\) | |||||||
\(252\) | − | 16.0309i | − | 1.00985i | ||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | −9.25544 | −0.580738 | ||||||||
\(255\) | −19.0204 | − | 21.2213i | −1.19111 | − | 1.32893i | ||||
\(256\) | −4.29013 | + | 13.2037i | −0.268133 | + | 0.825229i | ||||
\(257\) | −22.7814 | + | 7.40212i | −1.42106 | + | 0.461731i | −0.915940 | − | 0.401316i | \(-0.868553\pi\) |
−0.505123 | + | 0.863047i | \(0.668553\pi\) | |||||||
\(258\) | 4.07230 | + | 5.60503i | 0.253530 | + | 0.348954i | ||||
\(259\) | −30.9317 | + | 22.4732i | −1.92200 | + | 1.39642i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −2.86009 | + | 8.80244i | −0.177035 | + | 0.544858i | ||||
\(262\) | 4.07230 | − | 5.60503i | 0.251587 | − | 0.346280i | ||||
\(263\) | − | 14.1514i | − | 0.872610i | −0.899799 | − | 0.436305i | \(-0.856287\pi\) | ||
0.899799 | − | 0.436305i | \(-0.143713\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 1.48913 | − | 6.92820i | 0.0914762 | − | 0.425596i | ||||
\(266\) | −8.88159 | − | 6.45285i | −0.544565 | − | 0.395650i | ||||
\(267\) | −10.4969 | − | 3.41066i | −0.642401 | − | 0.208729i | ||||
\(268\) | 0.841553 | − | 0.273437i | 0.0514060 | − | 0.0167028i | ||||
\(269\) | 9.29490 | − | 6.75314i | 0.566720 | − | 0.411746i | −0.267192 | − | 0.963643i | \(-0.586096\pi\) |
0.833912 | + | 0.551897i | \(0.186096\pi\) | |||||||
\(270\) | −1.52249 | + | 0.673709i | −0.0926559 | + | 0.0410006i | ||||
\(271\) | −2.93230 | − | 9.02469i | −0.178125 | − | 0.548211i | 0.821638 | − | 0.570010i | \(-0.193061\pi\) |
−0.999762 | + | 0.0217988i | \(0.993061\pi\) | |||||||
\(272\) | −3.01404 | − | 0.979321i | −0.182753 | − | 0.0593800i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 1.76631 | 0.106707 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 8.74456 | 0.526361 | ||||||||
\(277\) | 4.83032 | − | 6.64836i | 0.290226 | − | 0.399461i | −0.638862 | − | 0.769321i | \(-0.720594\pi\) |
0.929087 | + | 0.369860i | \(0.120594\pi\) | |||||||
\(278\) | −13.7393 | − | 4.46416i | −0.824026 | − | 0.267742i | ||||
\(279\) | 2.47214 | + | 7.60845i | 0.148003 | + | 0.455506i | ||||
\(280\) | −18.9257 | + | 8.37468i | −1.13102 | + | 0.500483i | ||||
\(281\) | 19.0031 | − | 13.8066i | 1.13363 | − | 0.823630i | 0.147411 | − | 0.989075i | \(-0.452906\pi\) |
0.986219 | + | 0.165445i | \(0.0529060\pi\) | |||||||
\(282\) | −12.6172 | + | 4.09957i | −0.751343 | + | 0.244126i | ||||
\(283\) | 4.52106 | + | 1.46898i | 0.268749 | + | 0.0873218i | 0.440292 | − | 0.897855i | \(-0.354875\pi\) |
−0.171543 | + | 0.985177i | \(0.554875\pi\) | |||||||
\(284\) | −7.90111 | − | 5.74049i | −0.468845 | − | 0.340636i | ||||
\(285\) | 4.74456 | − | 22.0742i | 0.281044 | − | 1.30756i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | − | 9.50744i | − | 0.561207i | ||||||
\(288\) | −11.5778 | + | 15.9355i | −0.682230 | + | 0.939009i | ||||
\(289\) | −2.62328 | + | 8.07364i | −0.154311 | + | 0.474920i | ||||
\(290\) | 4.83680 | − | 0.497239i | 0.284026 | − | 0.0291989i | ||||
\(291\) | 8.39135 | − | 6.09667i | 0.491910 | − | 0.357393i | ||||
\(292\) | −5.58834 | − | 7.69168i | −0.327033 | − | 0.450122i | ||||
\(293\) | −9.60315 | + | 3.12025i | −0.561022 | + | 0.182287i | −0.575781 | − | 0.817604i | \(-0.695302\pi\) |
0.0147589 | + | 0.999891i | \(0.495302\pi\) | |||||||
\(294\) | −3.09017 | + | 9.51057i | −0.180222 | + | 0.554667i | ||||
\(295\) | 2.42926 | + | 2.71035i | 0.141437 | + | 0.157803i | ||||
\(296\) | 29.4891 | 1.71402 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | − | 9.10268i | − | 0.527304i | ||||||
\(299\) | 0 | 0 | ||||||||
\(300\) | −12.8188 | − | 11.6482i | −0.740091 | − | 0.672507i | ||||
\(301\) | 3.70820 | + | 11.4127i | 0.213737 | + | 0.657816i | ||||
\(302\) | −10.3541 | − | 14.2512i | −0.595812 | − | 0.820065i | ||||
\(303\) | 8.90261 | + | 12.2534i | 0.511442 | + | 0.703939i | ||||
\(304\) | −0.775903 | − | 2.38798i | −0.0445011 | − | 0.136960i | ||||
\(305\) | −12.0601 | + | 20.7794i | −0.690560 | + | 1.18982i | ||||
\(306\) | 10.9129 | + | 7.92871i | 0.623851 | + | 0.453254i | ||||
\(307\) | − | 28.1176i | − | 1.60475i | −0.596817 | − | 0.802377i | \(-0.703568\pi\) | ||
0.596817 | − | 0.802377i | \(-0.296432\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 26.2337 | 1.49238 | ||||||||
\(310\) | 3.12965 | − | 2.80507i | 0.177752 | − | 0.159317i | ||||
\(311\) | −5.40444 | + | 16.6331i | −0.306458 | + | 0.943179i | 0.672672 | + | 0.739941i | \(0.265147\pi\) |
−0.979129 | + | 0.203238i | \(0.934853\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −18.7043 | − | 25.7443i | −1.05723 | − | 1.45515i | −0.882367 | − | 0.470562i | \(-0.844051\pi\) |
−0.174865 | − | 0.984592i | \(-0.555949\pi\) | |||||||
\(314\) | 3.46032 | − | 2.51407i | 0.195277 | − | 0.141877i | ||||
\(315\) | −25.9846 | + | 2.67131i | −1.46407 | + | 0.150511i | ||||
\(316\) | −5.40444 | + | 16.6331i | −0.304023 | + | 0.935688i | ||||
\(317\) | −2.06842 | + | 2.84693i | −0.116174 | + | 0.159900i | −0.863144 | − | 0.504958i | \(-0.831508\pi\) |
0.746970 | + | 0.664858i | \(0.231508\pi\) | |||||||
\(318\) | 6.33830i | 0.355434i | ||||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 7.37228 | + | 1.58457i | 0.412123 | + | 0.0885804i | ||||
\(321\) | −13.5466 | − | 9.84221i | −0.756099 | − | 0.549338i | ||||
\(322\) | −6.58911 | − | 2.14093i | −0.367197 | − | 0.119310i | ||||
\(323\) | −19.2063 | + | 6.24051i | −1.06867 | + | 0.347231i | ||||
\(324\) | 8.59801 | − | 6.24682i | 0.477667 | − | 0.347045i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −0.848116 | − | 2.61023i | −0.0469728 | − | 0.144568i | ||||
\(327\) | 24.0079 | + | 7.80063i | 1.32764 | + | 0.431376i | ||||
\(328\) | −4.31021 | + | 5.93249i | −0.237991 | + | 0.327567i | ||||
\(329\) | −22.9783 | −1.26683 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 3.11684 | 0.171317 | 0.0856586 | − | 0.996325i | \(-0.472701\pi\) | ||||
0.0856586 | + | 0.996325i | \(0.472701\pi\) | |||||||
\(332\) | 5.35042 | − | 7.36423i | 0.293643 | − | 0.404164i | ||||
\(333\) | 35.3986 | + | 11.5017i | 1.93983 | + | 0.630289i | ||||
\(334\) | 5.47665 | + | 16.8554i | 0.299669 | + | 0.922286i | ||||
\(335\) | −0.583449 | − | 1.31852i | −0.0318772 | − | 0.0720383i | ||||
\(336\) | −4.44080 | + | 3.22643i | −0.242265 | + | 0.176016i | ||||
\(337\) | 11.9517 | − | 3.88335i | 0.651052 | − | 0.211540i | 0.0351740 | − | 0.999381i | \(-0.488801\pi\) |
0.615878 | + | 0.787842i | \(0.288801\pi\) | |||||||
\(338\) | 9.79563 | + | 3.18279i | 0.532812 | + | 0.173121i | ||||
\(339\) | 32.8509 | + | 23.8676i | 1.78422 | + | 1.29631i | ||||
\(340\) | −3.25544 | + | 15.1460i | −0.176551 | + | 0.821409i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | 10.6873i | 0.577901i | ||||||||
\(343\) | 4.07230 | − | 5.60503i | 0.219883 | − | 0.302643i | ||||
\(344\) | 2.86009 | − | 8.80244i | 0.154206 | − | 0.474596i | ||||
\(345\) | −1.45715 | − | 14.1742i | −0.0784504 | − | 0.763111i | ||||
\(346\) | 1.20473 | − | 0.875286i | 0.0647666 | − | 0.0470557i | ||||
\(347\) | 17.2206 | + | 23.7021i | 0.924449 | + | 1.27239i | 0.961986 | + | 0.273099i | \(0.0880488\pi\) |
−0.0375371 | + | 0.999295i | \(0.511951\pi\) | |||||||
\(348\) | 9.04212 | − | 2.93796i | 0.484708 | − | 0.157491i | ||||
\(349\) | 2.31427 | − | 7.12258i | 0.123880 | − | 0.381263i | −0.869815 | − | 0.493377i | \(-0.835762\pi\) |
0.993695 | + | 0.112114i | \(0.0357622\pi\) | |||||||
\(350\) | 6.80723 | + | 11.9154i | 0.363862 | + | 0.636906i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | − | 21.7244i | − | 1.15627i | −0.815941 | − | 0.578136i | \(-0.803780\pi\) | ||
0.815941 | − | 0.578136i | \(-0.196220\pi\) | |||||||
\(354\) | −2.63370 | − | 1.91350i | −0.139980 | − | 0.101701i | ||||
\(355\) | −7.98822 | + | 13.7636i | −0.423971 | + | 0.730494i | ||||
\(356\) | 1.85410 | + | 5.70634i | 0.0982672 | + | 0.302435i | ||||
\(357\) | 25.9498 | + | 35.7169i | 1.37341 | + | 1.89034i | ||||
\(358\) | −7.38657 | − | 10.1667i | −0.390392 | − | 0.537329i | ||||
\(359\) | −2.01197 | − | 6.19221i | −0.106188 | − | 0.326812i | 0.883820 | − | 0.467828i | \(-0.154963\pi\) |
−0.990007 | + | 0.141015i | \(0.954963\pi\) | |||||||
\(360\) | 17.4250 | + | 10.1133i | 0.918380 | + | 0.533018i | ||||
\(361\) | 2.42705 | + | 1.76336i | 0.127740 | + | 0.0928082i | ||||
\(362\) | 5.45343i | 0.286626i | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −11.5363 | + | 10.3399i | −0.603838 | + | 0.541215i | ||||
\(366\) | 6.64050 | − | 20.4374i | 0.347105 | − | 1.06828i | ||||
\(367\) | 22.8336 | − | 7.41908i | 1.19190 | − | 0.387273i | 0.355128 | − | 0.934818i | \(-0.384437\pi\) |
0.836776 | + | 0.547545i | \(0.184437\pi\) | |||||||
\(368\) | −0.931389 | − | 1.28195i | −0.0485520 | − | 0.0668261i | ||||
\(369\) | −7.48781 | + | 5.44021i | −0.389800 | + | 0.283206i | ||||
\(370\) | −1.99962 | − | 19.4509i | −0.103955 | − | 1.01121i | ||||
\(371\) | −3.39247 | + | 10.4409i | −0.176128 | + | 0.542066i | ||||
\(372\) | 4.83032 | − | 6.64836i | 0.250440 | − | 0.344701i | ||||
\(373\) | − | 8.21782i | − | 0.425503i | −0.977106 | − | 0.212751i | \(-0.931758\pi\) | ||
0.977106 | − | 0.212751i | \(-0.0682424\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −16.7446 | + | 22.7190i | −0.864685 | + | 1.17321i | ||||
\(376\) | 14.3381 | + | 10.4172i | 0.739429 | + | 0.537226i | ||||
\(377\) | 0 | 0 | ||||||||
\(378\) | 2.45300 | − | 0.797029i | 0.126169 | − | 0.0409948i | ||||
\(379\) | −5.15528 | + | 3.74553i | −0.264809 | + | 0.192395i | −0.712264 | − | 0.701911i | \(-0.752330\pi\) |
0.447455 | + | 0.894306i | \(0.352330\pi\) | |||||||
\(380\) | −11.2242 | + | 4.96677i | −0.575792 | + | 0.254790i | ||||
\(381\) | 9.11264 | + | 28.0458i | 0.466855 | + | 1.43683i | ||||
\(382\) | −10.2686 | − | 3.33648i | −0.525388 | − | 0.170709i | ||||
\(383\) | −3.34655 | + | 4.60613i | −0.171001 | + | 0.235362i | −0.885912 | − | 0.463852i | \(-0.846467\pi\) |
0.714912 | + | 0.699215i | \(0.246467\pi\) | |||||||
\(384\) | 22.7446 | 1.16068 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 18.5109 | 0.942179 | ||||||||
\(387\) | 6.86646 | − | 9.45088i | 0.349042 | − | 0.480415i | ||||
\(388\) | −5.36261 | − | 1.74242i | −0.272245 | − | 0.0884579i | ||||
\(389\) | 3.04734 | + | 9.37876i | 0.154506 | + | 0.475522i | 0.998111 | − | 0.0614438i | \(-0.0195705\pi\) |
−0.843604 | + | 0.536966i | \(0.819571\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −10.3106 | + | 7.49107i | −0.521428 | + | 0.378839i | ||||
\(392\) | 12.7052 | − | 4.12818i | 0.641711 | − | 0.208505i | ||||
\(393\) | −20.9938 | − | 6.82131i | −1.05900 | − | 0.344090i | ||||
\(394\) | 1.20473 | + | 0.875286i | 0.0606933 | + | 0.0440963i | ||||
\(395\) | 27.8614 | + | 5.98844i | 1.40186 | + | 0.301311i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 23.3639i | 1.17260i | 0.810095 | + | 0.586299i | \(0.199416\pi\) | ||||
−0.810095 | + | 0.586299i | \(0.800584\pi\) | |||||||
\(398\) | 3.72556 | − | 5.12779i | 0.186745 | − | 0.257033i | ||||
\(399\) | −10.8089 | + | 33.2663i | −0.541121 | + | 1.66540i | ||||
\(400\) | −0.342279 | + | 3.11987i | −0.0171139 | + | 0.155994i | ||||
\(401\) | −9.29490 | + | 6.75314i | −0.464165 | + | 0.337236i | −0.795163 | − | 0.606396i | \(-0.792615\pi\) |
0.330998 | + | 0.943631i | \(0.392615\pi\) | |||||||
\(402\) | 0.758020 | + | 1.04332i | 0.0378066 | + | 0.0520363i | ||||
\(403\) | 0 | 0 | ||||||||
\(404\) | 2.54435 | − | 7.83070i | 0.126586 | − | 0.389592i | ||||
\(405\) | −11.5583 | − | 12.8957i | −0.574334 | − | 0.640790i | ||||
\(406\) | −7.53262 | −0.373838 | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | − | 34.0511i | − | 1.68578i | ||||||
\(409\) | 3.64937 | + | 2.65143i | 0.180450 | + | 0.131105i | 0.674343 | − | 0.738418i | \(-0.264427\pi\) |
−0.493894 | + | 0.869522i | \(0.664427\pi\) | |||||||
\(410\) | 4.20532 | + | 2.44072i | 0.207686 | + | 0.120539i | ||||
\(411\) | −1.73906 | − | 5.35228i | −0.0857815 | − | 0.264008i | ||||
\(412\) | −8.38250 | − | 11.5375i | −0.412976 | − | 0.568413i | ||||
\(413\) | −3.31428 | − | 4.56171i | −0.163085 | − | 0.224467i | ||||
\(414\) | 2.08418 | + | 6.41446i | 0.102432 | + | 0.315254i | ||||
\(415\) | −12.8283 | − | 7.44542i | −0.629717 | − | 0.365481i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 46.0280i | 2.25400i | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −22.9783 | −1.12256 | −0.561280 | − | 0.827626i | \(-0.689691\pi\) | ||||
−0.561280 | + | 0.827626i | \(0.689691\pi\) | |||||||
\(420\) | 17.9092 | + | 19.9815i | 0.873881 | + | 0.974997i | ||||
\(421\) | 9.73067 | − | 29.9479i | 0.474244 | − | 1.45957i | −0.372730 | − | 0.927940i | \(-0.621578\pi\) |
0.846975 | − | 0.531634i | \(-0.178422\pi\) | |||||||
\(422\) | 16.1923 | − | 5.26119i | 0.788227 | − | 0.256111i | ||||
\(423\) | 13.1483 | + | 18.0970i | 0.639291 | + | 0.879909i | ||||
\(424\) | 6.85025 | − | 4.97700i | 0.332678 | − | 0.241704i | ||||
\(425\) | 25.0928 | + | 2.75291i | 1.21718 | + | 0.133536i | ||||
\(426\) | 4.39845 | − | 13.5370i | 0.213106 | − | 0.655872i | ||||
\(427\) | 21.8775 | − | 30.1118i | 1.05873 | − | 1.45721i | ||||
\(428\) | 9.10268i | 0.439995i | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −6.00000 | − | 1.28962i | −0.289346 | − | 0.0621910i | ||||
\(431\) | −25.6643 | − | 18.6462i | −1.23621 | − | 0.898156i | −0.238866 | − | 0.971053i | \(-0.576776\pi\) |
−0.997340 | + | 0.0728966i | \(0.976776\pi\) | |||||||
\(432\) | 0.561035 | + | 0.182291i | 0.0269928 | + | 0.00877050i | ||||
\(433\) | −19.5390 | + | 6.34862i | −0.938986 | + | 0.305095i | −0.738232 | − | 0.674547i | \(-0.764339\pi\) |
−0.200754 | + | 0.979642i | \(0.564339\pi\) | |||||||
\(434\) | −5.26741 | + | 3.82700i | −0.252844 | + | 0.183702i | ||||
\(435\) | −6.26891 | − | 14.1669i | −0.300571 | − | 0.679250i | ||||
\(436\) | −4.24058 | − | 13.0512i | −0.203087 | − | 0.625038i | ||||
\(437\) | −9.60315 | − | 3.12025i | −0.459381 | − | 0.149262i | ||||
\(438\) | 8.14459 | − | 11.2101i | 0.389164 | − | 0.535638i | ||||
\(439\) | 1.48913 | 0.0710721 | 0.0355360 | − | 0.999368i | \(-0.488686\pi\) | ||||
0.0355360 | + | 0.999368i | \(0.488686\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 16.8614 | 0.802924 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 14.3525 | + | 4.66341i | 0.681908 | + | 0.221565i | 0.629431 | − | 0.777057i | \(-0.283288\pi\) |
0.0524777 | + | 0.998622i | \(0.483288\pi\) | |||||||
\(444\) | −11.8149 | − | 36.3624i | −0.560708 | − | 1.72568i | ||||
\(445\) | 8.94050 | − | 3.95621i | 0.423821 | − | 0.187542i | ||||
\(446\) | −4.85410 | + | 3.52671i | −0.229848 | + | 0.166995i | ||||
\(447\) | −27.5830 | + | 8.96224i | −1.30463 | + | 0.423900i | ||||
\(448\) | −11.1102 | − | 3.60991i | −0.524906 | − | 0.170552i | ||||
\(449\) | −17.6862 | − | 12.8498i | −0.834666 | − | 0.606420i | 0.0862097 | − | 0.996277i | \(-0.472524\pi\) |
−0.920875 | + | 0.389857i | \(0.872524\pi\) | |||||||
\(450\) | 5.48913 | − | 12.1793i | 0.258760 | − | 0.574136i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | − | 22.0742i | − | 1.03828i | ||||||
\(453\) | −32.9896 | + | 45.4064i | −1.54999 | + | 2.13338i | ||||
\(454\) | 2.39992 | − | 7.38620i | 0.112634 | − | 0.346652i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 21.8259 | − | 15.8574i | 1.02209 | − | 0.742592i | ||||
\(457\) | 12.2169 | + | 16.8151i | 0.571482 | + | 0.786577i | 0.992729 | − | 0.120368i | \(-0.0384076\pi\) |
−0.421247 | + | 0.906946i | \(0.638408\pi\) | |||||||
\(458\) | 15.3507 | − | 4.98775i | 0.717292 | − | 0.233062i | ||||
\(459\) | 1.46615 | − | 4.51235i | 0.0684340 | − | 0.210618i | ||||
\(460\) | −5.76816 | + | 5.16995i | −0.268942 | + | 0.241050i | ||||
\(461\) | −32.2337 | −1.50127 | −0.750636 | − | 0.660716i | \(-0.770253\pi\) | ||||
−0.750636 | + | 0.660716i | \(0.770253\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 20.1398i | 0.935976i | 0.883735 | + | 0.467988i | \(0.155021\pi\) | ||||
−0.883735 | + | 0.467988i | \(0.844979\pi\) | |||||||
\(464\) | −1.39379 | − | 1.01264i | −0.0647049 | − | 0.0470108i | ||||
\(465\) | −11.5813 | − | 6.72166i | −0.537070 | − | 0.311709i | ||||
\(466\) | −4.16837 | − | 12.8289i | −0.193096 | − | 0.594288i | ||||
\(467\) | 2.58853 | + | 3.56280i | 0.119783 | + | 0.164867i | 0.864698 | − | 0.502293i | \(-0.167510\pi\) |
−0.744915 | + | 0.667159i | \(0.767510\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0.690248 | + | 2.12436i | 0.0318727 | + | 0.0980940i | ||||
\(470\) | 5.89891 | − | 10.1637i | 0.272096 | − | 0.468817i | ||||
\(471\) | −11.0251 | − | 8.01017i | −0.508008 | − | 0.369089i | ||||
\(472\) | 4.34896i | 0.200177i | ||||||||
\(473\) | 0 | 0 | ||||||||
\(474\) | −25.4891 | −1.17075 | ||||||||
\(475\) | 9.92105 | + | 17.3659i | 0.455209 | + | 0.796800i | ||||
\(476\) | 7.41641 | − | 22.8254i | 0.339930 | − | 1.04620i | ||||
\(477\) | 10.1642 | − | 3.30254i | 0.465386 | − | 0.151213i | ||||
\(478\) | −1.51604 | − | 2.08665i | −0.0693420 | − | 0.0954411i | ||||
\(479\) | 14.1490 | − | 10.2798i | 0.646484 | − | 0.469698i | −0.215587 | − | 0.976485i | \(-0.569167\pi\) |
0.862072 | + | 0.506786i | \(0.169167\pi\) | |||||||
\(480\) | −3.37164 | − | 32.7970i | −0.153894 | − | 1.49697i | ||||
\(481\) | 0 | 0 | ||||||||
\(482\) | 2.44743 | − | 3.36860i | 0.111477 | − | 0.153435i | ||||
\(483\) | 22.0742i | 1.00441i | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −1.93070 | + | 8.98266i | −0.0876687 | + | 0.407882i | ||||
\(486\) | 14.3381 | + | 10.4172i | 0.650387 | + | 0.472534i | ||||
\(487\) | 21.6071 | + | 7.02057i | 0.979111 | + | 0.318132i | 0.754488 | − | 0.656313i | \(-0.227885\pi\) |
0.224622 | + | 0.974446i | \(0.427885\pi\) | |||||||
\(488\) | −27.3024 | + | 8.87110i | −1.23592 | + | 0.401576i | ||||
\(489\) | −7.07450 | + | 5.13992i | −0.319920 | + | 0.232435i | ||||
\(490\) | −3.58446 | − | 8.10040i | −0.161929 | − | 0.365939i | ||||
\(491\) | 9.11264 | + | 28.0458i | 0.411248 | + | 1.26569i | 0.915564 | + | 0.402172i | \(0.131744\pi\) |
−0.504317 | + | 0.863519i | \(0.668256\pi\) | |||||||
\(492\) | 9.04212 | + | 2.93796i | 0.407650 | + | 0.132454i | ||||
\(493\) | −8.14459 | + | 11.2101i | −0.366814 | + | 0.504876i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −1.48913 | −0.0668637 | ||||||||
\(497\) | 14.4909 | − | 19.9451i | 0.650008 | − | 0.894659i | ||||
\(498\) | 12.6172 | + | 4.09957i | 0.565390 | + | 0.183706i | ||||
\(499\) | 6.18034 | + | 19.0211i | 0.276670 | + | 0.851503i | 0.988773 | + | 0.149427i | \(0.0477430\pi\) |
−0.712103 | + | 0.702075i | \(0.752257\pi\) | |||||||
\(500\) | 15.3422 | + | 0.104766i | 0.686125 | + | 0.00468528i | ||||
\(501\) | 45.6831 | − | 33.1907i | 2.04097 | − | 1.48285i | ||||
\(502\) | 3.67951 | − | 1.19554i | 0.164224 | − | 0.0533597i | ||||
\(503\) | −0.280518 | − | 0.0911457i | −0.0125077 | − | 0.00406399i | 0.302756 | − | 0.953068i | \(-0.402093\pi\) |
−0.315264 | + | 0.949004i | \(0.602093\pi\) | |||||||
\(504\) | −25.2510 | − | 18.3459i | −1.12477 | − | 0.817192i | ||||
\(505\) | −13.1168 | − | 2.81929i | −0.583692 | − | 0.125457i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | − | 32.8164i | − | 1.45743i | ||||||
\(508\) | 9.42272 | − | 12.9693i | 0.418066 | − | 0.575418i | ||||
\(509\) | −8.76752 | + | 26.9836i | −0.388613 | + | 1.19603i | 0.545212 | + | 0.838299i | \(0.316449\pi\) |
−0.933825 | + | 0.357730i | \(0.883551\pi\) | |||||||
\(510\) | −22.4600 | + | 2.30896i | −0.994545 | + | 0.102243i | ||||
\(511\) | 19.4164 | − | 14.1068i | 0.858931 | − | 0.624050i | ||||
\(512\) | −4.12671 | − | 5.67993i | −0.182377 | − | 0.251020i | ||||
\(513\) | 3.57507 | − | 1.16161i | 0.157843 | − | 0.0512864i | ||||
\(514\) | −5.86460 | + | 18.0494i | −0.258677 | + | 0.796124i | ||||
\(515\) | −17.3045 | + | 15.5098i | −0.762526 | + | 0.683445i | ||||
\(516\) | −12.0000 | −0.528271 | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 30.2921i | 1.33096i | ||||||||
\(519\) | −3.83843 | − | 2.78878i | −0.168488 | − | 0.122414i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 5.74956 | + | 17.6953i | 0.251893 | + | 0.775246i | 0.994426 | + | 0.105437i | \(0.0336242\pi\) |
−0.742533 | + | 0.669809i | \(0.766376\pi\) | |||||||
\(522\) | 4.31021 | + | 5.93249i | 0.188653 | + | 0.259658i | ||||
\(523\) | 5.35042 | + | 7.36423i | 0.233958 | + | 0.322015i | 0.909812 | − | 0.415020i | \(-0.136225\pi\) |
−0.675855 | + | 0.737035i | \(0.736225\pi\) | |||||||
\(524\) | 3.70820 | + | 11.4127i | 0.161994 | + | 0.498565i | ||||
\(525\) | 29.4039 | − | 32.3589i | 1.28329 | − | 1.41226i | ||||
\(526\) | −9.07065 | − | 6.59021i | −0.395499 | − | 0.287347i | ||||
\(527\) | 11.9769i | 0.521721i | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 16.6277 | 0.722944 | ||||||||
\(530\) | −3.74732 | − | 4.18092i | −0.162773 | − | 0.181607i | ||||
\(531\) | −1.69623 | + | 5.22047i | −0.0736102 | + | 0.226549i | ||||
\(532\) | 18.0842 | − | 5.87592i | 0.784051 | − | 0.254754i | ||||
\(533\) | 0 | 0 | ||||||||
\(534\) | −7.07450 | + | 5.13992i | −0.306144 | + | 0.222426i | ||||
\(535\) | 14.7546 | − | 1.51683i | 0.637898 | − | 0.0655782i | ||||
\(536\) | 0.532379 | − | 1.63849i | 0.0229953 | − | 0.0707721i | ||||
\(537\) | −23.5347 | + | 32.3927i | −1.01560 | + | 1.39785i | ||||
\(538\) | − | 9.10268i | − | 0.392445i | ||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0.605969 | − | 2.81929i | 0.0260768 | − | 0.121323i | ||||
\(541\) | 0.189058 | + | 0.137358i | 0.00812822 | + | 0.00590550i | 0.591842 | − | 0.806054i | \(-0.298401\pi\) |
−0.583714 | + | 0.811960i | \(0.698401\pi\) | |||||||
\(542\) | −7.15015 | − | 2.32322i | −0.307125 | − | 0.0997910i | ||||
\(543\) | 16.5250 | − | 5.36930i | 0.709156 | − | 0.230419i | ||||
\(544\) | −23.8572 | + | 17.3333i | −1.02287 | + | 0.743158i | ||||
\(545\) | −20.4481 | + | 9.04839i | −0.875902 | + | 0.387590i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −8.65717 | − | 2.81288i | −0.370154 | − | 0.120270i | 0.118032 | − | 0.993010i | \(-0.462341\pi\) |
−0.488186 | + | 0.872739i | \(0.662341\pi\) | |||||||
\(548\) | −1.79824 | + | 2.47506i | −0.0768168 | + | 0.105729i | ||||
\(549\) | −36.2337 | −1.54642 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −10.9783 | −0.467689 | ||||||||
\(552\) | 10.0074 | − | 13.7740i | 0.425942 | − | 0.586259i | ||||
\(553\) | −41.9877 | − | 13.6426i | −1.78550 | − | 0.580143i | ||||
\(554\) | −2.01197 | − | 6.19221i | −0.0854805 | − | 0.263082i | ||||
\(555\) | −56.9714 | + | 25.2101i | −2.41830 | + | 1.07011i | ||||
\(556\) | 20.2430 | − | 14.7074i | 0.858495 | − | 0.623733i | ||||
\(557\) | −30.5970 | + | 9.94157i | −1.29644 | + | 0.421238i | −0.874340 | − | 0.485314i | \(-0.838705\pi\) |
−0.422096 | + | 0.906551i | \(0.638705\pi\) | |||||||
\(558\) | 6.02808 | + | 1.95864i | 0.255189 | + | 0.0829159i | ||||
\(559\) | 0 | 0 | ||||||||
\(560\) | 1.02175 | − | 4.75372i | 0.0431768 | − | 0.200881i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | − | 18.6101i | − | 0.785021i | ||||||
\(563\) | 7.21320 | − | 9.92812i | 0.304000 | − | 0.418420i | −0.629498 | − | 0.777002i | \(-0.716739\pi\) |
0.933498 | + | 0.358582i | \(0.116739\pi\) | |||||||
\(564\) | 7.10067 | − | 21.8536i | 0.298992 | − | 0.920203i | ||||
\(565\) | −35.7803 | + | 3.67834i | −1.50529 | + | 0.154749i | ||||
\(566\) | 3.04701 | − | 2.21378i | 0.128075 | − | 0.0930522i | ||||
\(567\) | 15.7691 | + | 21.7043i | 0.662239 | + | 0.911494i | ||||
\(568\) | −18.0842 | + | 5.87592i | −0.758798 | + | 0.246548i | ||||
\(569\) | 11.9727 | − | 36.8483i | 0.501923 | − | 1.54476i | −0.303960 | − | 0.952685i | \(-0.598309\pi\) |
0.805883 | − | 0.592075i | \(-0.201691\pi\) | |||||||
\(570\) | −11.9395 | − | 13.3210i | −0.500090 | − | 0.557955i | ||||
\(571\) | −21.4891 | −0.899292 | −0.449646 | − | 0.893207i | \(-0.648450\pi\) | ||||
−0.449646 | + | 0.893207i | \(0.648450\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 34.4010i | 1.43712i | ||||||||
\(574\) | −6.09402 | − | 4.42757i | −0.254360 | − | 0.184803i | ||||
\(575\) | 9.34120 | + | 8.48817i | 0.389555 | + | 0.353981i | ||||
\(576\) | 3.51423 | + | 10.8157i | 0.146426 | + | 0.450653i | ||||
\(577\) | −18.7043 | − | 25.7443i | −0.778672 | − | 1.07175i | −0.995427 | − | 0.0955239i | \(-0.969547\pi\) |
0.216755 | − | 0.976226i | \(-0.430453\pi\) | |||||||
\(578\) | 3.95334 | + | 5.44131i | 0.164437 | + | 0.226328i | ||||
\(579\) | −18.2253 | − | 56.0916i | −0.757417 | − | 2.33109i | ||||
\(580\) | −4.22746 | + | 7.28383i | −0.175536 | + | 0.302445i | ||||
\(581\) | 18.5898 | + | 13.5063i | 0.771235 | + | 0.560335i | ||||
\(582\) | − | 8.21782i | − | 0.340640i | ||||||
\(583\) | 0 | 0 | ||||||||
\(584\) | −18.5109 | −0.765985 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −2.47214 | + | 7.60845i | −0.102123 | + | 0.314302i | ||||
\(587\) | 26.6370 | − | 8.65488i | 1.09943 | − | 0.357225i | 0.297544 | − | 0.954708i | \(-0.403833\pi\) |
0.801881 | + | 0.597483i | \(0.203833\pi\) | |||||||
\(588\) | −10.1807 | − | 14.0126i | −0.419847 | − | 0.577869i | ||||
\(589\) | −7.67686 | + | 5.57757i | −0.316320 | + | 0.229820i | ||||
\(590\) | 2.86856 | − | 0.294898i | 0.118097 | − | 0.0121408i | ||||
\(591\) | 1.46615 | − | 4.51235i | 0.0603094 | − | 0.185613i | ||||
\(592\) | −4.07230 | + | 5.60503i | −0.167370 | + | 0.230365i | ||||
\(593\) | − | 43.5586i | − | 1.78874i | −0.447333 | − | 0.894368i | \(-0.647626\pi\) | ||
0.447333 | − | 0.894368i | \(-0.352374\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −38.2337 | − | 8.21782i | −1.56743 | − | 0.336898i | ||||
\(596\) | 12.7552 | + | 9.26721i | 0.522474 | + | 0.379600i | ||||
\(597\) | −19.2063 | − | 6.24051i | −0.786062 | − | 0.255407i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −28.2980 | + | 20.5597i | −1.15622 | + | 0.840047i | −0.989296 | − | 0.145922i | \(-0.953385\pi\) |
−0.166929 | + | 0.985969i | \(0.553385\pi\) | |||||||
\(600\) | −33.0175 | + | 6.86113i | −1.34793 | + | 0.280105i | ||||
\(601\) | 9.41494 | + | 28.9762i | 0.384043 | + | 1.18196i | 0.937172 | + | 0.348868i | \(0.113434\pi\) |
−0.553129 | + | 0.833096i | \(0.686566\pi\) | |||||||
\(602\) | 9.04212 | + | 2.93796i | 0.368529 | + | 0.119742i | ||||
\(603\) | 1.27813 | − | 1.75919i | 0.0520494 | − | 0.0716398i | ||||
\(604\) | 30.5109 | 1.24147 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 12.0000 | 0.487467 | ||||||||
\(607\) | 2.03615 | − | 2.80252i | 0.0826447 | − | 0.113751i | −0.765693 | − | 0.643206i | \(-0.777604\pi\) |
0.848338 | + | 0.529456i | \(0.177604\pi\) | |||||||
\(608\) | −22.2203 | − | 7.21983i | −0.901154 | − | 0.292803i | ||||
\(609\) | 7.41641 | + | 22.8254i | 0.300528 | + | 0.924930i | ||||
\(610\) | 7.70269 | + | 17.4071i | 0.311873 | + | 0.704791i | ||||
\(611\) | 0 | 0 | ||||||||
\(612\) | −22.2203 | + | 7.21983i | −0.898204 | + | 0.291844i | ||||
\(613\) | 41.9877 | + | 13.6426i | 1.69587 | + | 0.551020i | 0.987882 | − | 0.155208i | \(-0.0496046\pi\) |
0.707985 | + | 0.706228i | \(0.249605\pi\) | |||||||
\(614\) | −18.0226 | − | 13.0942i | −0.727334 | − | 0.528439i | ||||
\(615\) | 3.25544 | − | 15.1460i | 0.131272 | − | 0.610747i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | − | 3.75906i | − | 0.151334i | −0.997133 | − | 0.0756669i | \(-0.975891\pi\) | ||
0.997133 | − | 0.0756669i | \(-0.0241086\pi\) | |||||||
\(618\) | 12.2169 | − | 16.8151i | 0.491435 | − | 0.676403i | ||||
\(619\) | 0.963158 | − | 2.96429i | 0.0387126 | − | 0.119145i | −0.929833 | − | 0.367983i | \(-0.880049\pi\) |
0.968545 | + | 0.248838i | \(0.0800486\pi\) | |||||||
\(620\) | 0.744422 | + | 7.24122i | 0.0298967 | + | 0.290814i | ||||
\(621\) | 1.91922 | − | 1.39439i | 0.0770155 | − | 0.0559550i | ||||
\(622\) | 8.14459 | + | 11.2101i | 0.326568 | + | 0.449483i | ||||
\(623\) | −14.4047 | + | 4.68038i | −0.577113 | + | 0.187515i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −2.38674 | − | 24.8858i | −0.0954695 | − | 0.995432i | ||||
\(626\) | −25.2119 | −1.00767 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 7.40830i | 0.295624i | ||||||||
\(629\) | 45.0807 | + | 32.7530i | 1.79749 | + | 1.30595i | ||||
\(630\) | −10.3887 | + | 17.8995i | −0.413894 | + | 0.713132i | ||||
\(631\) | −5.13153 | − | 15.7932i | −0.204283 | − | 0.628718i | −0.999742 | − | 0.0227109i | \(-0.992770\pi\) |
0.795459 | − | 0.606007i | \(-0.207230\pi\) | |||||||
\(632\) | 20.0147 | + | 27.5479i | 0.796144 | + | 1.09580i | ||||
\(633\) | −31.8849 | − | 43.8858i | −1.26731 | − | 1.74430i | ||||
\(634\) | 0.861558 | + | 2.65160i | 0.0342169 | + | 0.105309i | ||||
\(635\) | −22.5922 | − | 13.1122i | −0.896543 | − | 0.520344i | ||||
\(636\) | −8.88159 | − | 6.45285i | −0.352178 | − | 0.255872i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −24.0000 | −0.949425 | ||||||||
\(640\) | −15.0029 | + | 13.4470i | −0.593044 | + | 0.531540i | ||||
\(641\) | −6.06530 | + | 18.6671i | −0.239565 | + | 0.737305i | 0.756918 | + | 0.653510i | \(0.226704\pi\) |
−0.996483 | + | 0.0837952i | \(0.973296\pi\) | |||||||
\(642\) | −12.6172 | + | 4.09957i | −0.497961 | + | 0.161797i | ||||
\(643\) | 23.0145 | + | 31.6768i | 0.907605 | + | 1.24921i | 0.967978 | + | 0.251035i | \(0.0807711\pi\) |
−0.0603727 | + | 0.998176i | \(0.519229\pi\) | |||||||
\(644\) | 9.70820 | − | 7.05342i | 0.382557 | − | 0.277944i | ||||
\(645\) | 1.99962 | + | 19.4509i | 0.0787351 | + | 0.765879i | ||||
\(646\) | −4.94427 | + | 15.2169i | −0.194530 | + | 0.598701i | ||||
\(647\) | 24.1193 | − | 33.1974i | 0.948228 | − | 1.30512i | −0.00408232 | − | 0.999992i | \(-0.501299\pi\) |
0.952310 | − | 0.305132i | \(-0.0987006\pi\) | |||||||
\(648\) | − | 20.6920i | − | 0.812860i | ||||||
\(649\) | 0 | 0 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 16.7827 | + | 12.1933i | 0.657766 | + | 0.477895i | ||||
\(652\) | 4.52106 | + | 1.46898i | 0.177058 | + | 0.0575297i | ||||
\(653\) | 24.3406 | − | 7.90874i | 0.952522 | − | 0.309493i | 0.208782 | − | 0.977962i | \(-0.433050\pi\) |
0.743740 | + | 0.668469i | \(0.233050\pi\) | |||||||
\(654\) | 16.1803 | − | 11.7557i | 0.632701 | − | 0.459684i | ||||
\(655\) | 17.8810 | − | 7.91242i | 0.698669 | − | 0.309164i | ||||
\(656\) | −0.532379 | − | 1.63849i | −0.0207859 | − | 0.0639724i | ||||
\(657\) | −22.2203 | − | 7.21983i | −0.866898 | − | 0.281672i | ||||
\(658\) | −10.7008 | + | 14.7285i | −0.417162 | + | 0.574175i | ||||
\(659\) | −32.7446 | −1.27555 | −0.637774 | − | 0.770224i | \(-0.720144\pi\) | ||||
−0.637774 | + | 0.770224i | \(0.720144\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 35.3505 | 1.37498 | 0.687488 | − | 0.726196i | \(-0.258713\pi\) | ||||
0.687488 | + | 0.726196i | \(0.258713\pi\) | |||||||
\(662\) | 1.45150 | − | 1.99781i | 0.0564140 | − | 0.0776473i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −5.47665 | − | 16.8554i | −0.212535 | − | 0.654116i | ||||
\(665\) | −12.5378 | − | 28.3338i | −0.486196 | − | 1.09874i | ||||
\(666\) | 23.8572 | − | 17.3333i | 0.924448 | − | 0.671651i | ||||
\(667\) | −6.58911 | + | 2.14093i | −0.255131 | + | 0.0828972i | ||||
\(668\) | −29.1944 | − | 9.48584i | −1.12957 | − | 0.367018i | ||||
\(669\) | 15.4659 | + | 11.2366i | 0.597944 | + | 0.434432i | ||||
\(670\) | −1.11684 | − | 0.240051i | −0.0431474 | − | 0.00927397i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | 51.0767i | 1.97033i | ||||||||
\(673\) | 0.758020 | − | 1.04332i | 0.0292195 | − | 0.0402172i | −0.794157 | − | 0.607712i | \(-0.792087\pi\) |
0.823377 | + | 0.567495i | \(0.192087\pi\) | |||||||
\(674\) | 3.07673 | − | 9.46920i | 0.118511 | − | 0.364740i | ||||
\(675\) | −4.67079 | − | 0.512429i | −0.179779 | − | 0.0197234i | ||||
\(676\) | −14.4326 | + | 10.4859i | −0.555099 | + | 0.403303i | ||||
\(677\) | −25.5385 | − | 35.1508i | −0.981526 | − | 1.35095i | −0.936004 | − | 0.351991i | \(-0.885505\pi\) |
−0.0455220 | − | 0.998963i | \(-0.514495\pi\) | |||||||
\(678\) | 30.5970 | − | 9.94157i | 1.17507 | − | 0.381804i | ||||
\(679\) | 4.39845 | − | 13.5370i | 0.168797 | − | 0.519504i | ||||
\(680\) | 20.1316 | + | 22.4611i | 0.772013 | + | 0.861342i | ||||
\(681\) | −24.7446 | −0.948214 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | − | 44.4434i | − | 1.70058i | −0.526314 | − | 0.850290i | \(-0.676427\pi\) | ||
0.526314 | − | 0.850290i | \(-0.323573\pi\) | |||||||
\(684\) | −14.9756 | − | 10.8804i | −0.572607 | − | 0.416023i | ||||
\(685\) | 4.31150 | + | 2.50235i | 0.164734 | + | 0.0956098i | ||||
\(686\) | −1.69623 | − | 5.22047i | −0.0647625 | − | 0.199318i | ||||
\(687\) | −30.2277 | − | 41.6049i | −1.15326 | − | 1.58733i | ||||
\(688\) | 1.27813 | + | 1.75919i | 0.0487282 | + | 0.0670686i | ||||
\(689\) | 0 | 0 | ||||||||
\(690\) | −9.76384 | − | 5.66683i | −0.371703 | − | 0.215733i | ||||
\(691\) | −13.0564 | − | 9.48603i | −0.496689 | − | 0.360865i | 0.311062 | − | 0.950390i | \(-0.399315\pi\) |
−0.807751 | + | 0.589524i | \(0.799315\pi\) | |||||||
\(692\) | 2.57924i | 0.0980480i | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 23.2119 | 0.881113 | ||||||||
\(695\) | −27.2126 | − | 30.3613i | −1.03223 | − | 1.15167i | ||||
\(696\) | 5.72017 | − | 17.6049i | 0.216823 | − | 0.667312i | ||||
\(697\) | −13.1782 | + | 4.28187i | −0.499161 | + | 0.162187i | ||||
\(698\) | −3.48765 | − | 4.80033i | −0.132009 | − | 0.181695i | ||||
\(699\) | −34.7701 | + | 25.2620i | −1.31513 | + | 0.955496i | ||||
\(700\) | −23.6268 | − | 2.59208i | −0.893011 | − | 0.0979714i | ||||
\(701\) | −10.9667 | + | 33.7522i | −0.414208 | + | 1.27480i | 0.498749 | + | 0.866746i | \(0.333793\pi\) |
−0.912957 | + | 0.408055i | \(0.866207\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 44.1485i | 1.66509i | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −36.6060 | − | 7.86797i | −1.37866 | − | 0.296325i | ||||
\(706\) | −13.9248 | − | 10.1169i | −0.524065 | − | 0.380755i | ||||
\(707\) | 19.7673 | + | 6.42280i | 0.743427 | + | 0.241554i | ||||
\(708\) | 5.36261 | − | 1.74242i | 0.201539 | − | 0.0654841i | ||||
\(709\) | 33.2642 | − | 24.1679i | 1.24926 | − | 0.907644i | 0.251085 | − | 0.967965i | \(-0.419213\pi\) |
0.998179 | + | 0.0603214i | \(0.0192126\pi\) | |||||||
\(710\) | 5.10201 | + | 11.5299i | 0.191475 | + | 0.432708i | ||||
\(711\) | 13.2810 | + | 40.8747i | 0.498077 | + | 1.53292i | ||||
\(712\) | 11.1102 | + | 3.60991i | 0.416371 | + | 0.135287i | ||||
\(713\) | −3.51992 | + | 4.84475i | −0.131822 | + | 0.181437i | ||||
\(714\) | 34.9783 | 1.30903 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 21.7663 | 0.813445 | ||||||||
\(717\) | −4.83032 | + | 6.64836i | −0.180391 | + | 0.248288i | ||||
\(718\) | −4.90601 | − | 1.59406i | −0.183091 | − | 0.0594897i | ||||
\(719\) | −6.59768 | − | 20.3056i | −0.246052 | − | 0.757270i | −0.995462 | − | 0.0951633i | \(-0.969663\pi\) |
0.749410 | − | 0.662106i | \(-0.230337\pi\) | |||||||
\(720\) | −4.32855 | + | 1.91540i | −0.161316 | + | 0.0713828i | ||||
\(721\) | 29.1246 | − | 21.1603i | 1.08466 | − | 0.788050i | ||||
\(722\) | 2.26053 | − | 0.734490i | 0.0841282 | − | 0.0273349i | ||||
\(723\) | −12.6172 | − | 4.09957i | −0.469238 | − | 0.152465i | ||||
\(724\) | −7.64167 | − | 5.55200i | −0.284001 | − | 0.206338i | ||||
\(725\) | 12.5109 | + | 5.63858i | 0.464642 | + | 0.209412i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | − | 15.7908i | − | 0.585650i | −0.956166 | − | 0.292825i | \(-0.905405\pi\) | ||
0.956166 | − | 0.292825i | \(-0.0945953\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 10.2698 | − | 31.6071i | 0.380362 | − | 1.17063i | ||||
\(730\) | 1.25520 | + | 12.2097i | 0.0464570 | + | 0.451902i | ||||
\(731\) | 14.1490 | − | 10.2798i | 0.523320 | − | 0.380214i | ||||
\(732\) | 21.8775 | + | 30.1118i | 0.808616 | + | 1.11296i | ||||
\(733\) | 28.8095 | − | 9.36076i | 1.06410 | − | 0.345748i | 0.275914 | − | 0.961182i | \(-0.411020\pi\) |
0.788188 | + | 0.615435i | \(0.211020\pi\) | |||||||
\(734\) | 5.87804 | − | 18.0908i | 0.216963 | − | 0.667742i | ||||
\(735\) | −21.0167 | + | 18.8371i | −0.775212 | + | 0.694815i | ||||
\(736\) | −14.7446 | −0.543492 | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | 7.33296i | 0.269930i | ||||||||
\(739\) | 0.602364 | + | 0.437643i | 0.0221583 | + | 0.0160990i | 0.598809 | − | 0.800892i | \(-0.295641\pi\) |
−0.576651 | + | 0.816991i | \(0.695641\pi\) | |||||||
\(740\) | 29.2915 | + | 17.0005i | 1.07678 | + | 0.624950i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 5.11251 | + | 7.03677i | 0.187686 | + | 0.258328i | ||||
\(743\) | −12.8015 | − | 17.6198i | −0.469643 | − | 0.646408i | 0.506831 | − | 0.862046i | \(-0.330817\pi\) |
−0.976473 | + | 0.215638i | \(0.930817\pi\) | |||||||
\(744\) | −4.94427 | − | 15.2169i | −0.181266 | − | 0.557879i | ||||
\(745\) | 12.8958 | − | 22.2193i | 0.472467 | − | 0.814052i | ||||
\(746\) | −5.26741 | − | 3.82700i | −0.192854 | − | 0.140116i | ||||
\(747\) | − | 22.3692i | − | 0.818446i | ||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −22.9783 | −0.839607 | ||||||||
\(750\) | 6.76445 | + | 21.3130i | 0.247003 | + | 0.778239i | ||||
\(751\) | 6.68333 | − | 20.5692i | 0.243878 | − | 0.750580i | −0.751941 | − | 0.659231i | \(-0.770882\pi\) |
0.995819 | − | 0.0913493i | \(-0.0291180\pi\) | |||||||
\(752\) | −3.96002 | + | 1.28669i | −0.144407 | + | 0.0469207i | ||||
\(753\) | −7.24547 | − | 9.97254i | −0.264040 | − | 0.363420i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −5.08419 | − | 49.4554i | −0.185032 | − | 1.79987i | ||||
\(756\) | −1.38050 | + | 4.24873i | −0.0502081 | + | 0.154525i | ||||
\(757\) | −23.3936 | + | 32.1985i | −0.850253 | + | 1.17027i | 0.133554 | + | 0.991042i | \(0.457361\pi\) |
−0.983807 | + | 0.179232i | \(0.942639\pi\) | |||||||
\(758\) | 5.04868i | 0.183376i | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −5.02175 | + | 23.3639i | −0.182158 | + | 0.847496i | ||||
\(761\) | −17.1960 | − | 12.4936i | −0.623355 | − | 0.452894i | 0.230737 | − | 0.973016i | \(-0.425886\pi\) |
−0.854092 | + | 0.520122i | \(0.825886\pi\) | |||||||
\(762\) | 22.2203 | + | 7.21983i | 0.804958 | + | 0.261547i | ||||
\(763\) | 32.9456 | − | 10.7047i | 1.19271 | − | 0.387535i | ||||
\(764\) | 15.1295 | − | 10.9922i | 0.547365 | − | 0.397684i | ||||
\(765\) | 15.4054 | + | 34.8141i | 0.556983 | + | 1.25871i | ||||
\(766\) | 1.39394 | + | 4.29010i | 0.0503650 | + | 0.155007i | ||||
\(767\) | 0 | 0 | ||||||||
\(768\) | 20.5994 | − | 28.3526i | 0.743316 | − | 1.02309i | ||||
\(769\) | 51.2119 | 1.84675 | 0.923375 | − | 0.383900i | \(-0.125419\pi\) | ||||
0.923375 | + | 0.383900i | \(0.125419\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 60.4674 | 2.17768 | ||||||||
\(772\) | −18.8454 | + | 25.9385i | −0.678262 | + | 0.933548i | ||||
\(773\) | 29.3705 | + | 9.54305i | 1.05638 | + | 0.343240i | 0.785170 | − | 0.619280i | \(-0.212575\pi\) |
0.271213 | + | 0.962519i | \(0.412575\pi\) | |||||||
\(774\) | −2.86009 | − | 8.80244i | −0.102804 | − | 0.316397i | ||||
\(775\) | 11.6133 | − | 2.41328i | 0.417163 | − | 0.0866877i | ||||
\(776\) | −8.88159 | + | 6.45285i | −0.318831 | + | 0.231644i | ||||
\(777\) | 91.7910 | − | 29.8247i | 3.29298 | − | 1.06996i | ||||
\(778\) | 7.43067 | + | 2.41437i | 0.266402 | + | 0.0865593i | ||||
\(779\) | −8.88159 | − | 6.45285i | −0.318216 | − | 0.231197i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0 | 0 | ||||||||
\(782\) | 10.0974i | 0.361081i | ||||||||
\(783\) | 1.51604 | − | 2.08665i | 0.0541788 | − | 0.0745708i | ||||
\(784\) | −0.969879 | + | 2.98498i | −0.0346385 | + | 0.106606i | ||||
\(785\) | 12.0082 | − | 1.23448i | 0.428591 | − | 0.0440606i | ||||
\(786\) | −14.1490 | + | 10.2798i | −0.504678 | + | 0.366670i | ||||
\(787\) | −2.79417 | − | 3.84584i | −0.0996013 | − | 0.137089i | 0.756307 | − | 0.654216i | \(-0.227001\pi\) |
−0.855909 | + | 0.517127i | \(0.827001\pi\) | |||||||
\(788\) | −2.45300 | + | 0.797029i | −0.0873846 | + | 0.0283930i | ||||
\(789\) | −11.0390 | + | 33.9744i | −0.392997 | + | 1.20952i | ||||
\(790\) | 16.8133 | − | 15.0696i | 0.598192 | − | 0.536154i | ||||
\(791\) | 55.7228 | 1.98128 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 0 | 0 | ||||||||
\(794\) | 14.9756 | + | 10.8804i | 0.531465 | + | 0.386132i | ||||
\(795\) | −8.97951 | + | 15.4715i | −0.318470 | + | 0.548719i | ||||
\(796\) | 3.39247 | + | 10.4409i | 0.120243 | + | 0.370069i | ||||
\(797\) | 18.3576 | + | 25.2671i | 0.650260 | + | 0.895006i | 0.999110 | − | 0.0421727i | \(-0.0134280\pi\) |
−0.348851 | + | 0.937178i | \(0.613428\pi\) | |||||||
\(798\) | 16.2892 | + | 22.4201i | 0.576631 | + | 0.793664i | ||||
\(799\) | 10.3487 | + | 31.8501i | 0.366111 | + | 1.12677i | ||||
\(800\) | 21.6142 | + | 19.6404i | 0.764178 | + | 0.694394i | ||||
\(801\) | 11.9286 | + | 8.66664i | 0.421476 | + | 0.306221i | ||||
\(802\) | 9.10268i | 0.321427i | ||||||||
\(803\) | 0 | 0 | ||||||||
\(804\) | −2.23369 | −0.0787761 | ||||||||
\(805\) | −13.0507 | − | 14.5608i | −0.459977 | − | 0.513200i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −27.5830 | + | 8.96224i | −0.970966 | + | 0.315486i | ||||
\(808\) | −9.42272 | − | 12.9693i | −0.331490 | − | 0.456257i | ||||
\(809\) | −17.1960 | + | 12.4936i | −0.604580 | + | 0.439253i | −0.847501 | − | 0.530793i | \(-0.821894\pi\) |
0.242922 | + | 0.970046i | \(0.421894\pi\) | |||||||
\(810\) | −13.6484 | + | 1.40310i | −0.479556 | + | 0.0493000i | ||||
\(811\) | 10.5788 | − | 32.5582i | 0.371472 | − | 1.14327i | −0.574357 | − | 0.818605i | \(-0.694748\pi\) |
0.945828 | − | 0.324667i | \(-0.105252\pi\) | |||||||
\(812\) | 7.66877 | − | 10.5552i | 0.269121 | − | 0.370413i | ||||
\(813\) | 23.9538i | 0.840095i | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 1.62772 | − | 7.57301i | 0.0570165 | − | 0.265271i | ||||
\(816\) | 6.47214 | + | 4.70228i | 0.226570 | + | 0.164613i | ||||
\(817\) | 13.1782 | + | 4.28187i | 0.461048 | + | 0.149803i | ||||
\(818\) | 3.39899 | − | 1.10440i | 0.118843 | − | 0.0386144i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −7.70141 | + | 3.40791i | −0.268945 | + | 0.119009i | ||||
\(821\) | −5.56231 | − | 17.1190i | −0.194126 | − | 0.597458i | −0.999986 | − | 0.00535152i | \(-0.998297\pi\) |
0.805860 | − | 0.592106i | \(-0.201703\pi\) | |||||||
\(822\) | −4.24054 | − | 1.37784i | −0.147906 | − | 0.0480575i | ||||
\(823\) | 19.7003 | − | 27.1151i | 0.686708 | − | 0.945173i | −0.313282 | − | 0.949660i | \(-0.601428\pi\) |
0.999990 | + | 0.00448737i | \(0.00142838\pi\) | |||||||
\(824\) | −27.7663 | −0.967285 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −4.46738 | −0.155440 | ||||||||
\(827\) | −10.5920 | + | 14.5787i | −0.368321 | + | 0.506950i | −0.952443 | − | 0.304715i | \(-0.901439\pi\) |
0.584123 | + | 0.811665i | \(0.301439\pi\) | |||||||
\(828\) | −11.1102 | − | 3.60991i | −0.386105 | − | 0.125453i | ||||
\(829\) | −9.68785 | − | 29.8161i | −0.336473 | − | 1.03556i | −0.965992 | − | 0.258572i | \(-0.916748\pi\) |
0.629519 | − | 0.776985i | \(-0.283252\pi\) | |||||||
\(830\) | −10.7464 | + | 4.75532i | −0.373013 | + | 0.165060i | ||||
\(831\) | −16.7827 | + | 12.1933i | −0.582186 | + | 0.422983i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 24.0079 | + | 7.80063i | 0.831824 | + | 0.270276i | ||||
\(834\) | 29.5027 | + | 21.4350i | 1.02160 | + | 0.742233i | ||||
\(835\) | −10.5109 | + | 48.9022i | −0.363744 | + | 1.69233i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | − | 2.22938i | − | 0.0770588i | ||||||
\(838\) | −10.7008 | + | 14.7285i | −0.369655 | + | 0.508786i | ||||
\(839\) | −2.19923 | + | 6.76852i | −0.0759257 | + | 0.233675i | −0.981815 | − | 0.189839i | \(-0.939204\pi\) |
0.905890 | + | 0.423514i | \(0.139204\pi\) | |||||||
\(840\) | 51.9693 | − | 5.34262i | 1.79311 | − | 0.184338i | ||||
\(841\) | 17.3675 | − | 12.6182i | 0.598878 | − | 0.435111i | ||||
\(842\) | −14.6643 | − | 20.1837i | −0.505366 | − | 0.695576i | ||||
\(843\) | −56.3924 | + | 18.3230i | −1.94226 | + | 0.631078i | ||||
\(844\) | −9.11264 | + | 28.0458i | −0.313670 | + | 0.965377i | ||||
\(845\) | 19.4017 | + | 21.6466i | 0.667437 | + | 0.744666i | ||||
\(846\) | 17.7228 | 0.609323 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 1.98933i | 0.0683140i | ||||||||
\(849\) | −9.70820 | − | 7.05342i | −0.333185 | − | 0.242073i | ||||
\(850\) | 13.4501 | − | 14.8018i | 0.461336 | − | 0.507698i | ||||
\(851\) | 8.60965 | + | 26.4978i | 0.295135 | + | 0.908332i | ||||
\(852\) | 14.4909 | + | 19.9451i | 0.496452 | + | 0.683307i | ||||
\(853\) | −14.4909 | − | 19.9451i | −0.496161 | − | 0.682906i | 0.485349 | − | 0.874321i | \(-0.338693\pi\) |
−0.981509 | + | 0.191414i | \(0.938693\pi\) | |||||||
\(854\) | −9.11264 | − | 28.0458i | −0.311828 | − | 0.959708i | ||||
\(855\) | −15.1407 | + | 26.0872i | −0.517802 | + | 0.892163i | ||||
\(856\) | 14.3381 | + | 10.4172i | 0.490065 | + | 0.356053i | ||||
\(857\) | − | 10.6873i | − | 0.365070i | −0.983199 | − | 0.182535i | \(-0.941570\pi\) | ||
0.983199 | − | 0.182535i | \(-0.0584303\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −11.1168 | −0.379302 | −0.189651 | − | 0.981852i | \(-0.560736\pi\) | ||||
−0.189651 | + | 0.981852i | \(0.560736\pi\) | |||||||
\(860\) | 7.91554 | − | 7.09462i | 0.269918 | − | 0.241925i | ||||
\(861\) | −7.41641 | + | 22.8254i | −0.252751 | + | 0.777886i | ||||
\(862\) | −23.9034 | + | 7.76670i | −0.814155 | + | 0.264535i | ||||
\(863\) | 13.9063 | + | 19.1404i | 0.473376 | + | 0.651546i | 0.977215 | − | 0.212252i | \(-0.0680796\pi\) |
−0.503839 | + | 0.863797i | \(0.668080\pi\) | |||||||
\(864\) | 4.44080 | − | 3.22643i | 0.151079 | − | 0.109765i | ||||
\(865\) | 4.18072 | − | 0.429792i | 0.142149 | − | 0.0146134i | ||||
\(866\) | −5.02993 | + | 15.4805i | −0.170924 | + | 0.526050i | ||||
\(867\) | 12.5959 | − | 17.3368i | 0.427779 | − | 0.588787i | ||||
\(868\) | − | 11.2772i | − | 0.382772i | ||||||
\(869\) | 0 | 0 | ||||||||
\(870\) | −12.0000 | − | 2.57924i | −0.406838 | − | 0.0874444i | ||||
\(871\) | 0 | 0 | ||||||||
\(872\) | −25.4105 | − | 8.25636i | −0.860507 | − | 0.279596i | ||||
\(873\) | −13.1782 | + | 4.28187i | −0.446015 | + | 0.144919i | ||||
\(874\) | −6.47214 | + | 4.70228i | −0.218923 | + | 0.159057i | ||||
\(875\) | −0.264465 | + | 38.7289i | −0.00894054 | + | 1.30928i | ||||
\(876\) | 7.41641 | + | 22.8254i | 0.250577 | + | 0.771197i | ||||
\(877\) | 0 | 0 | 0.309017 | − | 0.951057i | \(-0.400000\pi\) | ||||
−0.309017 | + | 0.951057i | \(0.600000\pi\) | |||||||
\(878\) | 0.693478 | − | 0.954490i | 0.0234037 | − | 0.0322125i | ||||
\(879\) | 25.4891 | 0.859727 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 21.8614 | 0.736530 | 0.368265 | − | 0.929721i | \(-0.379952\pi\) | ||||
0.368265 | + | 0.929721i | \(0.379952\pi\) | |||||||
\(882\) | 7.85227 | − | 10.8077i | 0.264400 | − | 0.363915i | ||||
\(883\) | −23.0619 | − | 7.49326i | −0.776095 | − | 0.252168i | −0.105923 | − | 0.994374i | \(-0.533780\pi\) |
−0.670172 | + | 0.742206i | \(0.733780\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −3.71790 | − | 8.40196i | −0.124976 | − | 0.282429i | ||||
\(886\) | 9.67301 | − | 7.02786i | 0.324971 | − | 0.236105i | ||||
\(887\) | 13.4587 | − | 4.37301i | 0.451900 | − | 0.146831i | −0.0742192 | − | 0.997242i | \(-0.523646\pi\) |
0.526120 | + | 0.850411i | \(0.323646\pi\) | |||||||
\(888\) | −70.7971 | − | 23.0034i | −2.37580 | − | 0.771943i | ||||
\(889\) | 32.7388 | + | 23.7861i | 1.09802 | + | 0.797761i | ||||
\(890\) | 1.62772 | − | 7.57301i | 0.0545613 | − | 0.253848i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | − | 10.3923i | − | 0.347960i | ||||||
\(893\) | −15.5957 | + | 21.4656i | −0.521890 | + | 0.718320i | ||||
\(894\) | −7.10067 | + | 21.8536i | −0.237482 | + | 0.730894i | ||||
\(895\) | −3.62703 | − | 35.2812i | −0.121238 | − | 1.17932i | ||||
\(896\) | 25.2510 | − | 18.3459i | 0.843576 | − | 0.612894i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −16.4728 | + | 5.35233i | −0.549704 | + | 0.178610i | ||||
\(899\) | −2.01197 | + | 6.19221i | −0.0671030 | + | 0.206522i | ||||
\(900\) | 11.4780 | + | 20.0911i | 0.382598 | + | 0.669702i | ||||
\(901\) | 16.0000 | 0.533037 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | − | 30.2921i | − | 1.00806i | ||||||
\(904\) | −34.7701 | − | 25.2620i | −1.15644 | − | 0.840201i | ||||
\(905\) | −7.72592 | + | 13.3116i | −0.256818 | + | 0.442493i | ||||
\(906\) | 13.7412 | + | 42.2910i | 0.456520 | + | 1.40502i | ||||
\(907\) | −11.6968 | − | 16.0992i | −0.388385 | − | 0.534566i | 0.569396 | − | 0.822063i | \(-0.307177\pi\) |
−0.957782 | + | 0.287497i | \(0.907177\pi\) | |||||||
\(908\) | 7.90668 | + | 10.8826i | 0.262392 | + | 0.361152i | ||||
\(909\) | −6.25255 | − | 19.2434i | −0.207384 | − | 0.638263i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 24.6838 | + | 17.9338i | 0.817811 | + | 0.594175i | 0.916085 | − | 0.400985i | \(-0.131332\pi\) |
−0.0982734 | + | 0.995159i | \(0.531332\pi\) | |||||||
\(912\) | 6.33830i | 0.209882i | ||||||||
\(913\) | 0 | 0 | ||||||||
\(914\) | 16.4674 | 0.544692 | ||||||||
\(915\) | 45.1630 | − | 40.4792i | 1.49304 | − | 1.33820i | ||||
\(916\) | −8.63903 | + | 26.5882i | −0.285442 | + | 0.878499i | ||||
\(917\) | −28.8095 | + | 9.36076i | −0.951372 | + | 0.309120i | ||||
\(918\) | −2.20952 | − | 3.04114i | −0.0729249 | − | 0.100373i | ||||
\(919\) | 5.04316 | − | 3.66407i | 0.166358 | − | 0.120867i | −0.501491 | − | 0.865163i | \(-0.667215\pi\) |
0.667850 | + | 0.744296i | \(0.267215\pi\) | |||||||
\(920\) | 1.54228 | + | 15.0022i | 0.0508475 | + | 0.494609i | ||||
\(921\) | −21.9335 | + | 67.5043i | −0.722733 | + | 2.22434i | ||||
\(922\) | −15.0111 | + | 20.6609i | −0.494363 | + | 0.680432i | ||||
\(923\) | 0 | 0 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 22.6753 | − | 50.3118i | 0.745558 | − | 1.65424i | ||||
\(926\) | 12.9091 | + | 9.37900i | 0.424219 | + | 0.308213i | ||||
\(927\) | −33.3305 | − | 10.8297i | −1.09472 | − | 0.355695i | ||||
\(928\) | −15.2463 | + | 4.95382i | −0.500484 | + | 0.162617i | ||||
\(929\) | −42.8603 | + | 31.1398i | −1.40620 | + | 1.02166i | −0.412340 | + | 0.911030i | \(0.635288\pi\) |
−0.993861 | + | 0.110635i | \(0.964712\pi\) | |||||||
\(930\) | −9.70175 | + | 4.29306i | −0.318133 | + | 0.140775i | ||||
\(931\) | 6.18034 | + | 19.0211i | 0.202552 | + | 0.623392i | ||||
\(932\) | 22.2203 | + | 7.21983i | 0.727852 | + | 0.236493i | ||||
\(933\) | 25.9498 | − | 35.7169i | 0.849559 | − | 1.16932i | ||||
\(934\) | 3.48913 | 0.114168 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −15.2490 | + | 20.9884i | −0.498162 | + | 0.685661i | −0.981867 | − | 0.189570i | \(-0.939291\pi\) |
0.483705 | + | 0.875231i | \(0.339291\pi\) | |||||||
\(938\) | 1.68311 | + | 0.546874i | 0.0549553 | + | 0.0178561i | ||||
\(939\) | 24.8230 | + | 76.3972i | 0.810067 | + | 2.49313i | ||||
\(940\) | 8.23646 | + | 18.6133i | 0.268644 | + | 0.607099i | ||||
\(941\) | −8.46828 | + | 6.15257i | −0.276058 | + | 0.200568i | −0.717196 | − | 0.696871i | \(-0.754575\pi\) |
0.441138 | + | 0.897439i | \(0.354575\pi\) | |||||||
\(942\) | −10.2686 | + | 3.33648i | −0.334570 | + | 0.108708i | ||||
\(943\) | −6.58911 | − | 2.14093i | −0.214571 | − | 0.0697184i | ||||
\(944\) | −0.826613 | − | 0.600569i | −0.0269039 | − | 0.0195469i | ||||
\(945\) | 7.11684 | + | 1.52967i | 0.231511 | + | 0.0497602i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 56.1802i | 1.82561i | 0.408393 | + | 0.912806i | \(0.366089\pi\) | ||||
−0.408393 | + | 0.912806i | \(0.633911\pi\) | |||||||
\(948\) | 25.9498 | − | 35.7169i | 0.842811 | − | 1.16003i | ||||
\(949\) | 0 | 0 | ||||||||
\(950\) | 15.7512 | + | 1.72805i | 0.511037 | + | 0.0560655i | ||||
\(951\) | 7.18662 | − | 5.22139i | 0.233042 | − | 0.169315i | ||||
\(952\) | −27.4659 | − | 37.8035i | −0.890173 | − | 1.22522i | ||||
\(953\) | −39.6391 | + | 12.8795i | −1.28404 | + | 0.417209i | −0.870000 | − | 0.493051i | \(-0.835881\pi\) |
−0.414037 | + | 0.910260i | \(0.635881\pi\) | |||||||
\(954\) | 2.61656 | − | 8.05295i | 0.0847144 | − | 0.260724i | ||||
\(955\) | −20.3385 | − | 22.6918i | −0.658138 | − | 0.734291i | ||||
\(956\) | 4.46738 | 0.144485 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | − | 13.8564i | − | 0.447680i | ||||||
\(959\) | −6.24789 | − | 4.53936i | −0.201755 | − | 0.146583i | ||||
\(960\) | −16.4632 | − | 9.55507i | −0.531348 | − | 0.308389i | ||||
\(961\) | −7.84047 | − | 24.1305i | −0.252918 | − | 0.778402i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 13.1483 | + | 18.0970i | 0.423697 | + | 0.583169i | ||||
\(964\) | 2.22861 | + | 6.85896i | 0.0717787 | + | 0.220912i | ||||
\(965\) | 45.1843 | + | 26.2245i | 1.45453 | + | 0.844196i | ||||
\(966\) | 14.1490 | + | 10.2798i | 0.455237 | + | 0.330749i | ||||
\(967\) | − | 46.3229i | − | 1.48965i | −0.667262 | − | 0.744823i | \(-0.732534\pi\) | ||
0.667262 | − | 0.744823i | \(-0.267466\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 50.9783 | 1.63766 | ||||||||
\(970\) | 4.85853 | + | 5.42071i | 0.155998 | + | 0.174048i | ||||
\(971\) | 16.7163 | − | 51.4475i | 0.536452 | − | 1.65103i | −0.204040 | − | 0.978963i | \(-0.565407\pi\) |
0.740491 | − | 0.672066i | \(-0.234593\pi\) | |||||||
\(972\) | −29.1944 | + | 9.48584i | −0.936411 | + | 0.304258i | ||||
\(973\) | 37.1265 | + | 51.1002i | 1.19022 | + | 1.63820i | ||||
\(974\) | 14.5623 | − | 10.5801i | 0.466606 | − | 0.339009i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 2.08418 | − | 6.41446i | 0.0667131 | − | 0.205322i | ||||
\(977\) | −16.0835 | + | 22.1371i | −0.514558 | + | 0.708228i | −0.984680 | − | 0.174373i | \(-0.944210\pi\) |
0.470122 | + | 0.882602i | \(0.344210\pi\) | |||||||
\(978\) | 6.92820i | 0.221540i | ||||||||
\(979\) | 0 | 0 | ||||||||
\(980\) | 15.0000 | + | 3.22405i | 0.479157 | + | 0.102989i | ||||
\(981\) | −27.2823 | − | 19.8218i | −0.871058 | − | 0.632860i | ||||
\(982\) | 22.2203 | + | 7.21983i | 0.709080 | + | 0.230394i | ||||
\(983\) | −7.76340 | + | 2.52248i | −0.247614 | + | 0.0804547i | −0.430194 | − | 0.902736i | \(-0.641555\pi\) |
0.182580 | + | 0.983191i | \(0.441555\pi\) | |||||||
\(984\) | 14.9756 | − | 10.8804i | 0.477405 | − | 0.346855i | ||||
\(985\) | 1.70067 | + | 3.84329i | 0.0541878 | + | 0.122457i | ||||
\(986\) | 3.39247 | + | 10.4409i | 0.108038 | + | 0.332507i | ||||
\(987\) | 55.1659 | + | 17.9245i | 1.75595 | + | 0.570543i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 8.74456 | 0.278061 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −26.9783 | −0.856992 | −0.428496 | − | 0.903544i | \(-0.640956\pi\) | ||||
−0.428496 | + | 0.903544i | \(0.640956\pi\) | |||||||
\(992\) | −8.14459 | + | 11.2101i | −0.258591 | + | 0.355920i | ||||
\(993\) | −7.48288 | − | 2.43134i | −0.237462 | − | 0.0771561i | ||||
\(994\) | −6.03591 | − | 18.5766i | −0.191448 | − | 0.589215i | ||||
\(995\) | 16.3585 | − | 7.23871i | 0.518600 | − | 0.229483i | ||||
\(996\) | −18.5898 | + | 13.5063i | −0.589040 | + | 0.427963i | ||||
\(997\) | −20.9938 | + | 6.82131i | −0.664882 | + | 0.216033i | −0.621964 | − | 0.783046i | \(-0.713665\pi\) |
−0.0429172 | + | 0.999079i | \(0.513665\pi\) | |||||||
\(998\) | 15.0702 | + | 4.89660i | 0.477039 | + | 0.154999i | ||||
\(999\) | −8.39135 | − | 6.09667i | −0.265491 | − | 0.192890i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))