Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [77,2,Mod(6,77)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(77, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("77.6");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 77 = 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 77.l (of order \(10\), degree \(4\), 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: | \(0.614848095564\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{10})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} + 20x^{14} + 260x^{12} + 2030x^{10} + 11605x^{8} + 42100x^{6} + 106925x^{4} + 113575x^{2} + 87025 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 6.3 | ||
Root | \(-1.17141 - 2.02895i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 77.6 |
Dual form | 77.2.l.b.13.3 |
$q$-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 \(\left(\mathbb{Z}/77\mathbb{Z}\right)^\times\).
\(n\) | \(45\) | \(57\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{9}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.478148 | − | 0.155360i | 0.338101 | − | 0.109856i | −0.135045 | − | 0.990839i | \(-0.543118\pi\) |
0.473147 | + | 0.880984i | \(0.343118\pi\) | |||||||
\(3\) | −1.69284 | + | 2.32999i | −0.977360 | + | 1.34522i | −0.0391206 | + | 0.999234i | \(0.512456\pi\) |
−0.938240 | + | 0.345986i | \(0.887544\pi\) | |||||||
\(4\) | −1.41355 | + | 1.02700i | −0.706773 | + | 0.513500i | ||||
\(5\) | 0.572621 | + | 0.186056i | 0.256084 | + | 0.0832067i | 0.434246 | − | 0.900794i | \(-0.357015\pi\) |
−0.178162 | + | 0.984001i | \(0.557015\pi\) | |||||||
\(6\) | −0.447440 | + | 1.37708i | −0.182667 | + | 0.562190i | ||||
\(7\) | 2.61795 | − | 0.382556i | 0.989491 | − | 0.144593i | ||||
\(8\) | −1.10735 | + | 1.52414i | −0.391508 | + | 0.538865i | ||||
\(9\) | −1.63611 | − | 5.03542i | −0.545369 | − | 1.67847i | ||||
\(10\) | 0.302703 | 0.0957231 | ||||||||
\(11\) | 3.19003 | + | 0.907591i | 0.961830 | + | 0.273649i | ||||
\(12\) | − | 5.03209i | − | 1.45264i | ||||||
\(13\) | −0.723973 | − | 2.22816i | −0.200794 | − | 0.617980i | −0.999860 | − | 0.0167368i | \(-0.994672\pi\) |
0.799066 | − | 0.601243i | \(-0.205328\pi\) | |||||||
\(14\) | 1.19233 | − | 0.589642i | 0.318664 | − | 0.157588i | ||||
\(15\) | −1.40286 | + | 1.01924i | −0.362218 | + | 0.263167i | ||||
\(16\) | 0.787165 | − | 2.42264i | 0.196791 | − | 0.605661i | ||||
\(17\) | −0.353899 | + | 1.08919i | −0.0858332 | + | 0.264167i | −0.984756 | − | 0.173939i | \(-0.944351\pi\) |
0.898923 | + | 0.438106i | \(0.144351\pi\) | |||||||
\(18\) | −1.56460 | − | 2.15349i | −0.368780 | − | 0.507582i | ||||
\(19\) | 4.10418 | + | 2.98186i | 0.941563 | + | 0.684085i | 0.948796 | − | 0.315888i | \(-0.102303\pi\) |
−0.00723361 | + | 0.999974i | \(0.502303\pi\) | |||||||
\(20\) | −1.00051 | + | 0.325084i | −0.223720 | + | 0.0726910i | ||||
\(21\) | −3.54041 | + | 6.74740i | −0.772580 | + | 1.47240i | ||||
\(22\) | 1.66631 | − | 0.0616389i | 0.355258 | − | 0.0131414i | ||||
\(23\) | −3.85410 | −0.803636 | −0.401818 | − | 0.915720i | \(-0.631622\pi\) | ||||
−0.401818 | + | 0.915720i | \(0.631622\pi\) | |||||||
\(24\) | −1.67666 | − | 5.16024i | −0.342248 | − | 1.05333i | ||||
\(25\) | −3.75181 | − | 2.72585i | −0.750361 | − | 0.545169i | ||||
\(26\) | −0.692332 | − | 0.952913i | −0.135777 | − | 0.186882i | ||||
\(27\) | 6.28495 | + | 2.04210i | 1.20954 | + | 0.393003i | ||||
\(28\) | −3.30770 | + | 3.22940i | −0.625097 | + | 0.610298i | ||||
\(29\) | 1.26909 | + | 1.74675i | 0.235664 | + | 0.324364i | 0.910426 | − | 0.413671i | \(-0.135754\pi\) |
−0.674762 | + | 0.738035i | \(0.735754\pi\) | |||||||
\(30\) | −0.512427 | + | 0.705295i | −0.0935560 | + | 0.128769i | ||||
\(31\) | 5.93105 | − | 1.92711i | 1.06525 | − | 0.346120i | 0.276613 | − | 0.960982i | \(-0.410788\pi\) |
0.788635 | + | 0.614862i | \(0.210788\pi\) | |||||||
\(32\) | − | 5.04855i | − | 0.892467i | ||||||
\(33\) | −7.51488 | + | 5.89633i | −1.30817 | + | 1.02642i | ||||
\(34\) | 0.575775i | 0.0987447i | ||||||||
\(35\) | 1.57027 | + | 0.268025i | 0.265424 | + | 0.0453045i | ||||
\(36\) | 7.48410 | + | 5.43751i | 1.24735 | + | 0.906252i | ||||
\(37\) | 5.99527 | − | 4.35582i | 0.985616 | − | 0.716092i | 0.0266591 | − | 0.999645i | \(-0.491513\pi\) |
0.958957 | + | 0.283553i | \(0.0915131\pi\) | |||||||
\(38\) | 2.42566 | + | 0.788146i | 0.393494 | + | 0.127854i | ||||
\(39\) | 6.41716 | + | 2.08506i | 1.02757 | + | 0.333877i | ||||
\(40\) | −0.917668 | + | 0.666725i | −0.145096 | + | 0.105418i | ||||
\(41\) | −9.51380 | − | 6.91218i | −1.48581 | − | 1.07950i | −0.975628 | − | 0.219432i | \(-0.929579\pi\) |
−0.510178 | − | 0.860069i | \(-0.670421\pi\) | |||||||
\(42\) | −0.644564 | + | 3.77629i | −0.0994584 | + | 0.582694i | ||||
\(43\) | − | 1.73205i | − | 0.264135i | −0.991241 | − | 0.132068i | \(-0.957838\pi\) | ||
0.991241 | − | 0.132068i | \(-0.0421616\pi\) | |||||||
\(44\) | −5.44135 | + | 1.99324i | −0.820314 | + | 0.300492i | ||||
\(45\) | − | 3.18780i | − | 0.475209i | ||||||
\(46\) | −1.84283 | + | 0.598772i | −0.271710 | + | 0.0882841i | ||||
\(47\) | −5.83204 | + | 8.02711i | −0.850690 | + | 1.17087i | 0.133020 | + | 0.991113i | \(0.457532\pi\) |
−0.983710 | + | 0.179761i | \(0.942468\pi\) | |||||||
\(48\) | 4.31220 | + | 5.93523i | 0.622412 | + | 0.856676i | ||||
\(49\) | 6.70730 | − | 2.00302i | 0.958186 | − | 0.286146i | ||||
\(50\) | −2.21740 | − | 0.720478i | −0.313588 | − | 0.101891i | ||||
\(51\) | −1.93871 | − | 2.66840i | −0.271474 | − | 0.373651i | ||||
\(52\) | 3.31169 | + | 2.40608i | 0.459249 | + | 0.333664i | ||||
\(53\) | 1.89169 | + | 5.82203i | 0.259844 | + | 0.799718i | 0.992836 | + | 0.119481i | \(0.0381230\pi\) |
−0.732992 | + | 0.680237i | \(0.761877\pi\) | |||||||
\(54\) | 3.32239 | 0.452120 | ||||||||
\(55\) | 1.65782 | + | 1.11323i | 0.223540 | + | 0.150108i | ||||
\(56\) | −2.31592 | + | 4.41374i | −0.309478 | + | 0.589811i | ||||
\(57\) | −13.8954 | + | 4.51489i | −1.84049 | + | 0.598012i | ||||
\(58\) | 0.878188 | + | 0.638041i | 0.115312 | + | 0.0837788i | ||||
\(59\) | −2.76409 | − | 3.80445i | −0.359855 | − | 0.495297i | 0.590254 | − | 0.807218i | \(-0.299028\pi\) |
−0.950108 | + | 0.311921i | \(0.899028\pi\) | |||||||
\(60\) | 0.936251 | − | 2.88148i | 0.120869 | − | 0.371998i | ||||
\(61\) | 2.69125 | − | 8.28283i | 0.344580 | − | 1.06051i | −0.617229 | − | 0.786784i | \(-0.711745\pi\) |
0.961808 | − | 0.273724i | \(-0.0882553\pi\) | |||||||
\(62\) | 2.53652 | − | 1.84289i | 0.322138 | − | 0.234047i | ||||
\(63\) | −6.20958 | − | 12.5566i | −0.782333 | − | 1.58198i | ||||
\(64\) | 0.789988 | + | 2.43133i | 0.0987485 | + | 0.303917i | ||||
\(65\) | − | 1.41059i | − | 0.174962i | ||||||
\(66\) | −2.67717 | + | 3.98683i | −0.329537 | + | 0.490744i | ||||
\(67\) | −6.46905 | −0.790320 | −0.395160 | − | 0.918612i | \(-0.629311\pi\) | ||||
−0.395160 | + | 0.918612i | \(0.629311\pi\) | |||||||
\(68\) | −0.618347 | − | 1.90308i | −0.0749855 | − | 0.230782i | ||||
\(69\) | 6.52437 | − | 8.98002i | 0.785442 | − | 1.08107i | ||||
\(70\) | 0.792461 | − | 0.115801i | 0.0947172 | − | 0.0138409i | ||||
\(71\) | 1.64583 | − | 5.06536i | 0.195325 | − | 0.601148i | −0.804648 | − | 0.593752i | \(-0.797646\pi\) |
0.999973 | − | 0.00739537i | \(-0.00235404\pi\) | |||||||
\(72\) | 9.48643 | + | 3.08233i | 1.11799 | + | 0.363256i | ||||
\(73\) | −2.02057 | + | 1.46803i | −0.236489 | + | 0.171820i | −0.699718 | − | 0.714419i | \(-0.746691\pi\) |
0.463228 | + | 0.886239i | \(0.346691\pi\) | |||||||
\(74\) | 2.18990 | − | 3.01415i | 0.254571 | − | 0.350387i | ||||
\(75\) | 12.7024 | − | 4.12726i | 1.46675 | − | 0.476575i | ||||
\(76\) | −8.86381 | −1.01675 | ||||||||
\(77\) | 8.69853 | + | 1.15566i | 0.991290 | + | 0.131700i | ||||
\(78\) | 3.39228 | 0.384100 | ||||||||
\(79\) | −1.13233 | + | 0.367916i | −0.127397 | + | 0.0413938i | −0.372022 | − | 0.928224i | \(-0.621335\pi\) |
0.244625 | + | 0.969618i | \(0.421335\pi\) | |||||||
\(80\) | 0.901494 | − | 1.24080i | 0.100790 | − | 0.138726i | ||||
\(81\) | −2.54732 | + | 1.85073i | −0.283035 | + | 0.205637i | ||||
\(82\) | −5.62287 | − | 1.82698i | −0.620943 | − | 0.201756i | ||||
\(83\) | −2.44298 | + | 7.51872i | −0.268152 | + | 0.825287i | 0.722799 | + | 0.691059i | \(0.242855\pi\) |
−0.990950 | + | 0.134228i | \(0.957145\pi\) | |||||||
\(84\) | −1.92506 | − | 13.1738i | −0.210041 | − | 1.43737i | ||||
\(85\) | −0.405301 | + | 0.557848i | −0.0439610 | + | 0.0605072i | ||||
\(86\) | −0.269091 | − | 0.828176i | −0.0290168 | − | 0.0893045i | ||||
\(87\) | −6.21828 | −0.666670 | ||||||||
\(88\) | −4.91578 | + | 3.85702i | −0.524024 | + | 0.411160i | ||||
\(89\) | − | 11.9963i | − | 1.27161i | −0.771850 | − | 0.635804i | \(-0.780669\pi\) | ||
0.771850 | − | 0.635804i | \(-0.219331\pi\) | |||||||
\(90\) | −0.495255 | − | 1.52424i | −0.0522044 | − | 0.160669i | ||||
\(91\) | −2.74772 | − | 5.55624i | −0.288039 | − | 0.582453i | ||||
\(92\) | 5.44795 | − | 3.95817i | 0.567988 | − | 0.412667i | ||||
\(93\) | −5.55014 | + | 17.0816i | −0.575523 | + | 1.77128i | ||||
\(94\) | −1.54149 | + | 4.74421i | −0.158992 | + | 0.489327i | ||||
\(95\) | 1.79535 | + | 2.47108i | 0.184199 | + | 0.253528i | ||||
\(96\) | 11.7631 | + | 8.54638i | 1.20056 | + | 0.872261i | ||||
\(97\) | −5.53666 | + | 1.79897i | −0.562162 | + | 0.182658i | −0.576294 | − | 0.817243i | \(-0.695502\pi\) |
0.0141316 | + | 0.999900i | \(0.495502\pi\) | |||||||
\(98\) | 2.89589 | − | 1.99978i | 0.292529 | − | 0.202009i | ||||
\(99\) | −0.649125 | − | 17.5481i | −0.0652395 | − | 1.76365i | ||||
\(100\) | 8.10280 | 0.810280 | ||||||||
\(101\) | 4.46355 | + | 13.7374i | 0.444140 | + | 1.36692i | 0.883425 | + | 0.468573i | \(0.155232\pi\) |
−0.439285 | + | 0.898348i | \(0.644768\pi\) | |||||||
\(102\) | −1.34155 | − | 0.974694i | −0.132833 | − | 0.0965091i | ||||
\(103\) | −3.30213 | − | 4.54499i | −0.325369 | − | 0.447831i | 0.614728 | − | 0.788739i | \(-0.289266\pi\) |
−0.940097 | + | 0.340908i | \(0.889266\pi\) | |||||||
\(104\) | 4.19772 | + | 1.36392i | 0.411620 | + | 0.133743i | ||||
\(105\) | −3.28271 | + | 3.20499i | −0.320359 | + | 0.312775i | ||||
\(106\) | 1.80902 | + | 2.48990i | 0.175707 | + | 0.241840i | ||||
\(107\) | −4.71964 | + | 6.49602i | −0.456265 | + | 0.627994i | −0.973729 | − | 0.227711i | \(-0.926876\pi\) |
0.517464 | + | 0.855705i | \(0.326876\pi\) | |||||||
\(108\) | −10.9813 | + | 3.56804i | −1.05668 | + | 0.343335i | ||||
\(109\) | 13.2943i | 1.27336i | 0.771128 | + | 0.636680i | \(0.219693\pi\) | ||||
−0.771128 | + | 0.636680i | \(0.780307\pi\) | |||||||
\(110\) | 0.965631 | + | 0.274731i | 0.0920693 | + | 0.0261945i | ||||
\(111\) | 21.3426i | 2.02575i | ||||||||
\(112\) | 1.13396 | − | 6.64349i | 0.107149 | − | 0.627751i | ||||
\(113\) | 0.814341 | + | 0.591653i | 0.0766067 | + | 0.0556581i | 0.625429 | − | 0.780281i | \(-0.284924\pi\) |
−0.548823 | + | 0.835939i | \(0.684924\pi\) | |||||||
\(114\) | −5.94262 | + | 4.31757i | −0.556578 | + | 0.404377i | ||||
\(115\) | −2.20694 | − | 0.717079i | −0.205798 | − | 0.0668679i | ||||
\(116\) | −3.58783 | − | 1.16576i | −0.333122 | − | 0.108238i | ||||
\(117\) | −10.0352 | + | 7.29102i | −0.927757 | + | 0.674055i | ||||
\(118\) | −1.91270 | − | 1.38966i | −0.176079 | − | 0.127929i | ||||
\(119\) | −0.509814 | + | 2.98683i | −0.0467345 | + | 0.273802i | ||||
\(120\) | − | 3.26682i | − | 0.298218i | ||||||
\(121\) | 9.35256 | + | 5.79048i | 0.850232 | + | 0.526407i | ||||
\(122\) | − | 4.37853i | − | 0.396413i | ||||||
\(123\) | 32.2106 | − | 10.4659i | 2.90434 | − | 0.943676i | ||||
\(124\) | −6.40466 | + | 8.81526i | −0.575155 | + | 0.791633i | ||||
\(125\) | −3.41070 | − | 4.69443i | −0.305062 | − | 0.419882i | ||||
\(126\) | −4.91988 | − | 5.03918i | −0.438298 | − | 0.448926i | ||||
\(127\) | −9.00420 | − | 2.92564i | −0.798994 | − | 0.259609i | −0.119065 | − | 0.992887i | \(-0.537990\pi\) |
−0.679929 | + | 0.733278i | \(0.737990\pi\) | |||||||
\(128\) | 6.69039 | + | 9.20854i | 0.591353 | + | 0.813927i | ||||
\(129\) | 4.03566 | + | 2.93208i | 0.355320 | + | 0.258155i | ||||
\(130\) | −0.219149 | − | 0.674471i | −0.0192206 | − | 0.0591550i | ||||
\(131\) | 11.5794 | 1.01170 | 0.505848 | − | 0.862623i | \(-0.331180\pi\) | ||||
0.505848 | + | 0.862623i | \(0.331180\pi\) | |||||||
\(132\) | 4.56708 | − | 16.0525i | 0.397514 | − | 1.39719i | ||||
\(133\) | 11.8852 | + | 6.23627i | 1.03058 | + | 0.540753i | ||||
\(134\) | −3.09316 | + | 1.00503i | −0.267208 | + | 0.0868212i | ||||
\(135\) | 3.21895 | + | 2.33870i | 0.277043 | + | 0.201284i | ||||
\(136\) | −1.26819 | − | 1.74551i | −0.108746 | − | 0.149676i | ||||
\(137\) | 3.05284 | − | 9.39568i | 0.260822 | − | 0.802727i | −0.731805 | − | 0.681514i | \(-0.761322\pi\) |
0.992627 | − | 0.121213i | \(-0.0386783\pi\) | |||||||
\(138\) | 1.72448 | − | 5.30740i | 0.146797 | − | 0.451796i | ||||
\(139\) | 8.26502 | − | 6.00489i | 0.701030 | − | 0.509328i | −0.179238 | − | 0.983806i | \(-0.557363\pi\) |
0.880267 | + | 0.474478i | \(0.157363\pi\) | |||||||
\(140\) | −2.49491 | + | 1.23380i | −0.210858 | + | 0.104275i | ||||
\(141\) | −8.83040 | − | 27.1772i | −0.743654 | − | 2.28873i | ||||
\(142\) | − | 2.67769i | − | 0.224706i | ||||||
\(143\) | −0.287236 | − | 7.76496i | −0.0240199 | − | 0.649339i | ||||
\(144\) | −13.4869 | −1.12391 | ||||||||
\(145\) | 0.401714 | + | 1.23635i | 0.0333606 | + | 0.102673i | ||||
\(146\) | −0.738057 | + | 1.01585i | −0.0610820 | + | 0.0840722i | ||||
\(147\) | −6.68734 | + | 19.0187i | −0.551563 | + | 1.56864i | ||||
\(148\) | −4.00115 | + | 12.3143i | −0.328893 | + | 1.01223i | ||||
\(149\) | −4.36511 | − | 1.41831i | −0.357604 | − | 0.116192i | 0.124705 | − | 0.992194i | \(-0.460202\pi\) |
−0.482308 | + | 0.876001i | \(0.660202\pi\) | |||||||
\(150\) | 5.43241 | − | 3.94688i | 0.443555 | − | 0.322261i | ||||
\(151\) | −7.72552 | + | 10.6333i | −0.628694 | + | 0.865323i | −0.997950 | − | 0.0640047i | \(-0.979613\pi\) |
0.369255 | + | 0.929328i | \(0.379613\pi\) | |||||||
\(152\) | −9.08954 | + | 2.95337i | −0.737259 | + | 0.239550i | ||||
\(153\) | 6.06355 | 0.490209 | ||||||||
\(154\) | 4.33872 | − | 0.798823i | 0.349624 | − | 0.0643710i | ||||
\(155\) | 3.75480 | 0.301592 | ||||||||
\(156\) | −11.2123 | + | 3.64310i | −0.897703 | + | 0.291681i | ||||
\(157\) | 1.81688 | − | 2.50071i | 0.145002 | − | 0.199579i | −0.730338 | − | 0.683086i | \(-0.760637\pi\) |
0.875340 | + | 0.483507i | \(0.160637\pi\) | |||||||
\(158\) | −0.484261 | + | 0.351836i | −0.0385258 | + | 0.0279906i | ||||
\(159\) | −16.7676 | − | 5.44813i | −1.32976 | − | 0.432065i | ||||
\(160\) | 0.939313 | − | 2.89091i | 0.0742592 | − | 0.228546i | ||||
\(161\) | −10.0898 | + | 1.47441i | −0.795191 | + | 0.116200i | ||||
\(162\) | −0.930465 | + | 1.28067i | −0.0731042 | + | 0.100619i | ||||
\(163\) | −0.631726 | − | 1.94425i | −0.0494806 | − | 0.152286i | 0.923263 | − | 0.384168i | \(-0.125512\pi\) |
−0.972744 | + | 0.231882i | \(0.925512\pi\) | |||||||
\(164\) | 20.5470 | 1.60445 | ||||||||
\(165\) | −5.40023 | + | 1.97818i | −0.420407 | + | 0.154001i | ||||
\(166\) | 3.97460i | 0.308489i | ||||||||
\(167\) | 2.25884 | + | 6.95201i | 0.174795 | + | 0.537962i | 0.999624 | − | 0.0274192i | \(-0.00872890\pi\) |
−0.824829 | + | 0.565382i | \(0.808729\pi\) | |||||||
\(168\) | −6.36350 | − | 12.8678i | −0.490955 | − | 0.992774i | ||||
\(169\) | 6.07666 | − | 4.41496i | 0.467436 | − | 0.339612i | ||||
\(170\) | −0.107126 | + | 0.329701i | −0.00821622 | + | 0.0252869i | ||||
\(171\) | 8.30004 | − | 25.5449i | 0.634720 | − | 1.95347i | ||||
\(172\) | 1.77882 | + | 2.44833i | 0.135634 | + | 0.186684i | ||||
\(173\) | 6.61453 | + | 4.80574i | 0.502893 | + | 0.365373i | 0.810121 | − | 0.586263i | \(-0.199401\pi\) |
−0.307228 | + | 0.951636i | \(0.599401\pi\) | |||||||
\(174\) | −2.97326 | + | 0.966070i | −0.225402 | + | 0.0732376i | ||||
\(175\) | −10.8648 | − | 5.70085i | −0.821303 | − | 0.430944i | ||||
\(176\) | 4.70985 | − | 7.01388i | 0.355018 | − | 0.528691i | ||||
\(177\) | 13.5435 | 1.01799 | ||||||||
\(178\) | −1.86374 | − | 5.73602i | −0.139694 | − | 0.429933i | ||||
\(179\) | −5.03924 | − | 3.66122i | −0.376650 | − | 0.273653i | 0.383313 | − | 0.923619i | \(-0.374783\pi\) |
−0.759963 | + | 0.649966i | \(0.774783\pi\) | |||||||
\(180\) | 3.27387 | + | 4.50610i | 0.244020 | + | 0.335865i | ||||
\(181\) | −18.7936 | − | 6.10643i | −1.39692 | − | 0.453887i | −0.488727 | − | 0.872437i | \(-0.662539\pi\) |
−0.908194 | + | 0.418550i | \(0.862539\pi\) | |||||||
\(182\) | −2.17703 | − | 2.22982i | −0.161372 | − | 0.165285i | ||||
\(183\) | 14.7431 | + | 20.2921i | 1.08984 | + | 1.50003i | ||||
\(184\) | 4.26785 | − | 5.87419i | 0.314630 | − | 0.433051i | ||||
\(185\) | 4.24344 | − | 1.37878i | 0.311984 | − | 0.101370i | ||||
\(186\) | 9.02978i | 0.662096i | ||||||||
\(187\) | −2.11749 | + | 3.15335i | −0.154846 | + | 0.230596i | ||||
\(188\) | − | 17.3362i | − | 1.26437i | ||||||
\(189\) | 17.2349 | + | 2.94177i | 1.25365 | + | 0.213983i | ||||
\(190\) | 1.24235 | + | 0.902618i | 0.0901293 | + | 0.0654828i | ||||
\(191\) | −0.501545 | + | 0.364394i | −0.0362905 | + | 0.0263666i | −0.605783 | − | 0.795630i | \(-0.707140\pi\) |
0.569492 | + | 0.821997i | \(0.307140\pi\) | |||||||
\(192\) | −7.00231 | − | 2.27519i | −0.505348 | − | 0.164197i | ||||
\(193\) | −11.8239 | − | 3.84183i | −0.851106 | − | 0.276541i | −0.149197 | − | 0.988808i | \(-0.547669\pi\) |
−0.701909 | + | 0.712267i | \(0.747669\pi\) | |||||||
\(194\) | −2.36785 | + | 1.72034i | −0.170002 | + | 0.123514i | ||||
\(195\) | 3.28666 | + | 2.38790i | 0.235363 | + | 0.171001i | ||||
\(196\) | −7.42397 | + | 9.71977i | −0.530283 | + | 0.694269i | ||||
\(197\) | − | 12.4251i | − | 0.885254i | −0.896706 | − | 0.442627i | \(-0.854047\pi\) | ||
0.896706 | − | 0.442627i | \(-0.145953\pi\) | |||||||
\(198\) | −3.03664 | − | 8.28971i | −0.215804 | − | 0.589124i | ||||
\(199\) | 8.51876i | 0.603879i | 0.953327 | + | 0.301939i | \(0.0976340\pi\) | ||||
−0.953327 | + | 0.301939i | \(0.902366\pi\) | |||||||
\(200\) | 8.30914 | − | 2.69980i | 0.587545 | − | 0.190905i | ||||
\(201\) | 10.9510 | − | 15.0728i | 0.772427 | − | 1.06315i | ||||
\(202\) | 4.26847 | + | 5.87504i | 0.300328 | + | 0.413367i | ||||
\(203\) | 3.99064 | + | 4.08741i | 0.280088 | + | 0.286880i | ||||
\(204\) | 5.48091 | + | 1.78085i | 0.383740 | + | 0.124685i | ||||
\(205\) | −4.16175 | − | 5.72816i | −0.290669 | − | 0.400072i | ||||
\(206\) | −2.28501 | − | 1.66016i | −0.159204 | − | 0.115669i | ||||
\(207\) | 6.30573 | + | 19.4070i | 0.438278 | + | 1.34888i | ||||
\(208\) | −5.96792 | −0.413801 | ||||||||
\(209\) | 10.3861 | + | 13.2371i | 0.718424 | + | 0.915631i | ||||
\(210\) | −1.07169 | + | 2.04246i | −0.0739538 | + | 0.140943i | ||||
\(211\) | −16.8765 | + | 5.48352i | −1.16183 | + | 0.377501i | −0.825587 | − | 0.564274i | \(-0.809156\pi\) |
−0.336242 | + | 0.941776i | \(0.609156\pi\) | |||||||
\(212\) | −8.65323 | − | 6.28694i | −0.594306 | − | 0.431789i | ||||
\(213\) | 9.01611 | + | 12.4096i | 0.617774 | + | 0.850292i | ||||
\(214\) | −1.24746 | + | 3.83930i | −0.0852749 | + | 0.262449i | ||||
\(215\) | 0.322258 | − | 0.991809i | 0.0219778 | − | 0.0676408i | ||||
\(216\) | −10.0721 | + | 7.31781i | −0.685319 | + | 0.497914i | ||||
\(217\) | 14.7899 | − | 7.31404i | 1.00401 | − | 0.496510i | ||||
\(218\) | 2.06539 | + | 6.35662i | 0.139886 | + | 0.430525i | ||||
\(219\) | − | 7.19303i | − | 0.486060i | ||||||
\(220\) | −3.48668 | + | 0.128977i | −0.235072 | + | 0.00869563i | ||||
\(221\) | 2.68310 | 0.180485 | ||||||||
\(222\) | 3.31578 | + | 10.2049i | 0.222540 | + | 0.684909i | ||||
\(223\) | 0.873235 | − | 1.20190i | 0.0584761 | − | 0.0804855i | −0.778777 | − | 0.627300i | \(-0.784160\pi\) |
0.837254 | + | 0.546815i | \(0.184160\pi\) | |||||||
\(224\) | −1.93136 | − | 13.2169i | −0.129044 | − | 0.883088i | ||||
\(225\) | −7.58743 | + | 23.3517i | −0.505829 | + | 1.55678i | ||||
\(226\) | 0.481294 | + | 0.156382i | 0.0320152 | + | 0.0104024i | ||||
\(227\) | −19.4043 | + | 14.0980i | −1.28791 | + | 0.935720i | −0.999761 | − | 0.0218664i | \(-0.993039\pi\) |
−0.288147 | + | 0.957586i | \(0.593039\pi\) | |||||||
\(228\) | 15.0050 | − | 20.6526i | 0.993730 | − | 1.36775i | ||||
\(229\) | −0.346898 | + | 0.112714i | −0.0229236 | + | 0.00744834i | −0.320456 | − | 0.947263i | \(-0.603836\pi\) |
0.297533 | + | 0.954712i | \(0.403836\pi\) | |||||||
\(230\) | −1.16665 | −0.0769265 | ||||||||
\(231\) | −17.4179 | + | 18.3112i | −1.14601 | + | 1.20479i | ||||
\(232\) | −4.06763 | −0.267053 | ||||||||
\(233\) | −2.51505 | + | 0.817190i | −0.164766 | + | 0.0535359i | −0.390239 | − | 0.920714i | \(-0.627608\pi\) |
0.225472 | + | 0.974250i | \(0.427608\pi\) | |||||||
\(234\) | −3.66559 | + | 5.04525i | −0.239627 | + | 0.329818i | ||||
\(235\) | −4.83304 | + | 3.51141i | −0.315273 | + | 0.229059i | ||||
\(236\) | 7.81435 | + | 2.53904i | 0.508671 | + | 0.165277i | ||||
\(237\) | 1.05961 | − | 3.26114i | 0.0688290 | − | 0.211834i | ||||
\(238\) | 0.220266 | + | 1.50735i | 0.0142778 | + | 0.0977070i | ||||
\(239\) | −10.3480 | + | 14.2428i | −0.669356 | + | 0.921289i | −0.999746 | − | 0.0225554i | \(-0.992820\pi\) |
0.330390 | + | 0.943845i | \(0.392820\pi\) | |||||||
\(240\) | 1.36497 | + | 4.20095i | 0.0881085 | + | 0.271170i | ||||
\(241\) | −8.56111 | −0.551470 | −0.275735 | − | 0.961234i | \(-0.588921\pi\) | ||||
−0.275735 | + | 0.961234i | \(0.588921\pi\) | |||||||
\(242\) | 5.37151 | + | 1.31570i | 0.345294 | + | 0.0845761i | ||||
\(243\) | 10.7569i | 0.690058i | ||||||||
\(244\) | 4.70226 | + | 14.4721i | 0.301031 | + | 0.926479i | ||||
\(245\) | 4.21342 | + | 0.100959i | 0.269185 | + | 0.00645003i | ||||
\(246\) | 13.7755 | − | 10.0085i | 0.878292 | − | 0.638116i | ||||
\(247\) | 3.67274 | − | 11.3035i | 0.233691 | − | 0.719227i | ||||
\(248\) | −3.63057 | + | 11.1737i | −0.230541 | + | 0.709533i | ||||
\(249\) | −13.3830 | − | 18.4201i | −0.848112 | − | 1.16733i | ||||
\(250\) | −2.36014 | − | 1.71474i | −0.149269 | − | 0.108450i | ||||
\(251\) | 2.94556 | − | 0.957069i | 0.185922 | − | 0.0604097i | −0.214576 | − | 0.976707i | \(-0.568837\pi\) |
0.400498 | + | 0.916298i | \(0.368837\pi\) | |||||||
\(252\) | 21.6731 | + | 11.3720i | 1.36528 | + | 0.716371i | ||||
\(253\) | −12.2947 | − | 3.49795i | −0.772961 | − | 0.219914i | ||||
\(254\) | −4.75987 | −0.298660 | ||||||||
\(255\) | −0.613674 | − | 1.88869i | −0.0384297 | − | 0.118275i | ||||
\(256\) | 0.493198 | + | 0.358330i | 0.0308249 | + | 0.0223956i | ||||
\(257\) | −8.02351 | − | 11.0434i | −0.500493 | − | 0.688869i | 0.481787 | − | 0.876288i | \(-0.339988\pi\) |
−0.982280 | + | 0.187419i | \(0.939988\pi\) | |||||||
\(258\) | 2.38517 | + | 0.774988i | 0.148494 | + | 0.0482487i | ||||
\(259\) | 14.0290 | − | 13.6968i | 0.871717 | − | 0.851079i | ||||
\(260\) | 1.44868 | + | 1.99393i | 0.0898432 | + | 0.123659i | ||||
\(261\) | 6.71927 | − | 9.24828i | 0.415913 | − | 0.572454i | ||||
\(262\) | 5.53666 | − | 1.79897i | 0.342056 | − | 0.111141i | ||||
\(263\) | − | 21.1997i | − | 1.30723i | −0.756827 | − | 0.653615i | \(-0.773251\pi\) | ||
0.756827 | − | 0.653615i | \(-0.226749\pi\) | |||||||
\(264\) | −0.665216 | − | 17.9830i | −0.0409412 | − | 1.10678i | ||||
\(265\) | 3.68578i | 0.226416i | ||||||||
\(266\) | 6.65177 | + | 1.13537i | 0.407846 | + | 0.0696141i | ||||
\(267\) | 27.9513 | + | 20.3078i | 1.71059 | + | 1.24282i | ||||
\(268\) | 9.14429 | − | 6.64372i | 0.558576 | − | 0.405830i | ||||
\(269\) | −13.4198 | − | 4.36034i | −0.818217 | − | 0.265855i | −0.130143 | − | 0.991495i | \(-0.541544\pi\) |
−0.688074 | + | 0.725640i | \(0.741544\pi\) | |||||||
\(270\) | 1.90247 | + | 0.618151i | 0.115781 | + | 0.0376195i | ||||
\(271\) | 12.7393 | − | 9.25562i | 0.773856 | − | 0.562239i | −0.129273 | − | 0.991609i | \(-0.541264\pi\) |
0.903129 | + | 0.429370i | \(0.141264\pi\) | |||||||
\(272\) | 2.36014 | + | 1.71474i | 0.143105 | + | 0.103972i | ||||
\(273\) | 17.5974 | + | 3.00366i | 1.06505 | + | 0.181790i | ||||
\(274\) | − | 4.96681i | − | 0.300056i | ||||||
\(275\) | −9.49441 | − | 12.1006i | −0.572535 | − | 0.729696i | ||||
\(276\) | 19.3942i | 1.16739i | ||||||||
\(277\) | −6.35715 | + | 2.06556i | −0.381964 | + | 0.124108i | −0.493704 | − | 0.869630i | \(-0.664357\pi\) |
0.111740 | + | 0.993737i | \(0.464357\pi\) | |||||||
\(278\) | 3.01898 | − | 4.15527i | 0.181067 | − | 0.249217i | ||||
\(279\) | −19.4077 | − | 26.7124i | −1.16191 | − | 1.59923i | ||||
\(280\) | −2.14735 | + | 2.09651i | −0.128329 | + | 0.125291i | ||||
\(281\) | 21.0401 | + | 6.83635i | 1.25515 | + | 0.407822i | 0.859763 | − | 0.510693i | \(-0.170611\pi\) |
0.395385 | + | 0.918515i | \(0.370611\pi\) | |||||||
\(282\) | −8.44447 | − | 11.6228i | −0.502861 | − | 0.692129i | ||||
\(283\) | −11.2264 | − | 8.15648i | −0.667342 | − | 0.484852i | 0.201792 | − | 0.979428i | \(-0.435323\pi\) |
−0.869134 | + | 0.494576i | \(0.835323\pi\) | |||||||
\(284\) | 2.87567 | + | 8.85039i | 0.170639 | + | 0.525174i | ||||
\(285\) | −8.79683 | −0.521079 | ||||||||
\(286\) | −1.34370 | − | 3.66817i | −0.0794548 | − | 0.216904i | ||||
\(287\) | −27.5509 | − | 14.4562i | −1.62628 | − | 0.853320i | ||||
\(288\) | −25.4216 | + | 8.25998i | −1.49798 | + | 0.486724i | ||||
\(289\) | 12.6922 | + | 9.22142i | 0.746600 | + | 0.542437i | ||||
\(290\) | 0.384158 | + | 0.528748i | 0.0225585 | + | 0.0310491i | ||||
\(291\) | 5.18108 | − | 15.9457i | 0.303720 | − | 0.934755i | ||||
\(292\) | 1.34850 | − | 4.15025i | 0.0789148 | − | 0.242875i | ||||
\(293\) | −5.75353 | + | 4.18018i | −0.336125 | + | 0.244209i | −0.743025 | − | 0.669264i | \(-0.766610\pi\) |
0.406900 | + | 0.913473i | \(0.366610\pi\) | |||||||
\(294\) | −0.242793 | + | 10.1327i | −0.0141600 | + | 0.590952i | ||||
\(295\) | −0.874939 | − | 2.69279i | −0.0509409 | − | 0.156780i | ||||
\(296\) | 13.9610i | 0.811469i | ||||||||
\(297\) | 18.1958 | + | 12.2185i | 1.05583 | + | 0.708991i | ||||
\(298\) | −2.30751 | −0.133671 | ||||||||
\(299\) | 2.79026 | + | 8.58755i | 0.161365 | + | 0.496631i | ||||
\(300\) | −13.7167 | + | 18.8794i | −0.791935 | + | 1.09001i | ||||
\(301\) | −0.662607 | − | 4.53442i | −0.0381920 | − | 0.261360i | ||||
\(302\) | −2.04196 | + | 6.28451i | −0.117502 | + | 0.361633i | ||||
\(303\) | −39.5640 | − | 12.8551i | −2.27289 | − | 0.738508i | ||||
\(304\) | 10.4546 | − | 7.59574i | 0.599615 | − | 0.435646i | ||||
\(305\) | 3.08214 | − | 4.24220i | 0.176483 | − | 0.242908i | ||||
\(306\) | 2.89927 | − | 0.942031i | 0.165740 | − | 0.0538523i | ||||
\(307\) | 18.7705 | 1.07129 | 0.535644 | − | 0.844444i | \(-0.320069\pi\) | ||||
0.535644 | + | 0.844444i | \(0.320069\pi\) | |||||||
\(308\) | −13.4826 | + | 7.29982i | −0.768244 | + | 0.415946i | ||||
\(309\) | 16.1798 | 0.920435 | ||||||||
\(310\) | 1.79535 | − | 0.583343i | 0.101969 | − | 0.0331317i | ||||
\(311\) | 2.10849 | − | 2.90209i | 0.119561 | − | 0.164562i | −0.745041 | − | 0.667018i | \(-0.767570\pi\) |
0.864603 | + | 0.502456i | \(0.167570\pi\) | |||||||
\(312\) | −10.2840 | + | 7.47175i | −0.582216 | + | 0.423004i | ||||
\(313\) | 25.0891 | + | 8.15193i | 1.41812 | + | 0.460774i | 0.915004 | − | 0.403446i | \(-0.132188\pi\) |
0.503114 | + | 0.864220i | \(0.332188\pi\) | |||||||
\(314\) | 0.480225 | − | 1.47798i | 0.0271006 | − | 0.0834072i | ||||
\(315\) | −1.21951 | − | 8.34549i | −0.0687117 | − | 0.470215i | ||||
\(316\) | 1.22275 | − | 1.68297i | 0.0687850 | − | 0.0946744i | ||||
\(317\) | −1.96679 | − | 6.05316i | −0.110466 | − | 0.339979i | 0.880508 | − | 0.474030i | \(-0.157201\pi\) |
−0.990974 | + | 0.134051i | \(0.957201\pi\) | |||||||
\(318\) | −8.86381 | −0.497058 | ||||||||
\(319\) | 2.46310 | + | 6.72401i | 0.137907 | + | 0.376472i | ||||
\(320\) | 1.53921i | 0.0860447i | ||||||||
\(321\) | −7.14610 | − | 21.9934i | −0.398856 | − | 1.22755i | ||||
\(322\) | −4.59537 | + | 2.27254i | −0.256090 | + | 0.126644i | ||||
\(323\) | −4.70028 | + | 3.41495i | −0.261530 | + | 0.190013i | ||||
\(324\) | 1.70004 | − | 5.23220i | 0.0944469 | − | 0.290678i | ||||
\(325\) | −3.35742 | + | 10.3331i | −0.186236 | + | 0.573175i | ||||
\(326\) | −0.604117 | − | 0.831495i | −0.0334589 | − | 0.0460523i | ||||
\(327\) | −30.9755 | − | 22.5050i | −1.71295 | − | 1.24453i | ||||
\(328\) | 21.0702 | − | 6.84614i | 1.16341 | − | 0.378015i | ||||
\(329\) | −12.1971 | + | 23.2456i | −0.672450 | + | 1.28157i | ||||
\(330\) | −2.27478 | + | 1.78484i | −0.125222 | + | 0.0982521i | ||||
\(331\) | −9.41523 | −0.517508 | −0.258754 | − | 0.965943i | \(-0.583312\pi\) | ||||
−0.258754 | + | 0.965943i | \(0.583312\pi\) | |||||||
\(332\) | −4.26847 | − | 13.1370i | −0.234263 | − | 0.720986i | ||||
\(333\) | −31.7423 | − | 23.0621i | −1.73947 | − | 1.26380i | ||||
\(334\) | 2.16012 | + | 2.97315i | 0.118197 | + | 0.162684i | ||||
\(335\) | −3.70431 | − | 1.20360i | −0.202388 | − | 0.0657599i | ||||
\(336\) | 13.5597 | + | 13.8885i | 0.739740 | + | 0.757678i | ||||
\(337\) | 3.24325 | + | 4.46395i | 0.176671 | + | 0.243167i | 0.888164 | − | 0.459526i | \(-0.151981\pi\) |
−0.711493 | + | 0.702693i | \(0.751981\pi\) | |||||||
\(338\) | 2.21964 | − | 3.05507i | 0.120732 | − | 0.166174i | ||||
\(339\) | −2.75709 | + | 0.895834i | −0.149745 | + | 0.0486550i | ||||
\(340\) | − | 1.20479i | − | 0.0653388i | ||||||
\(341\) | 20.6692 | − | 0.764582i | 1.11930 | − | 0.0414044i | ||||
\(342\) | − | 13.5037i | − | 0.730198i | ||||||
\(343\) | 16.7931 | − | 7.80973i | 0.906742 | − | 0.421686i | ||||
\(344\) | 2.63989 | + | 1.91799i | 0.142333 | + | 0.103411i | ||||
\(345\) | 5.40678 | − | 3.92825i | 0.291091 | − | 0.211490i | ||||
\(346\) | 3.90934 | + | 1.27022i | 0.210167 | + | 0.0682875i | ||||
\(347\) | 31.3613 | + | 10.1899i | 1.68356 | + | 0.547022i | 0.985597 | − | 0.169110i | \(-0.0540892\pi\) |
0.697965 | + | 0.716132i | \(0.254089\pi\) | |||||||
\(348\) | 8.78983 | − | 6.38618i | 0.471184 | − | 0.342335i | ||||
\(349\) | 21.5523 | + | 15.6586i | 1.15367 | + | 0.838188i | 0.988964 | − | 0.148155i | \(-0.0473335\pi\) |
0.164703 | + | 0.986343i | \(0.447334\pi\) | |||||||
\(350\) | −6.08067 | − | 1.03789i | −0.325026 | − | 0.0554777i | ||||
\(351\) | − | 15.4823i | − | 0.826384i | ||||||
\(352\) | 4.58202 | − | 16.1050i | 0.244223 | − | 0.858401i | ||||
\(353\) | − | 31.7997i | − | 1.69253i | −0.532764 | − | 0.846264i | \(-0.678847\pi\) | ||
0.532764 | − | 0.846264i | \(-0.321153\pi\) | |||||||
\(354\) | 6.47579 | − | 2.10411i | 0.344184 | − | 0.111832i | ||||
\(355\) | 1.88488 | − | 2.59432i | 0.100039 | − | 0.137692i | ||||
\(356\) | 12.3202 | + | 16.9574i | 0.652971 | + | 0.898738i | ||||
\(357\) | −6.09625 | − | 6.24408i | −0.322648 | − | 0.330472i | ||||
\(358\) | −2.97831 | − | 0.967710i | −0.157408 | − | 0.0511451i | ||||
\(359\) | 18.6081 | + | 25.6119i | 0.982099 | + | 1.35174i | 0.935691 | + | 0.352821i | \(0.114777\pi\) |
0.0464079 | + | 0.998923i | \(0.485223\pi\) | |||||||
\(360\) | 4.85865 | + | 3.53001i | 0.256073 | + | 0.186048i | ||||
\(361\) | 2.08146 | + | 6.40608i | 0.109551 | + | 0.337162i | ||||
\(362\) | −9.93483 | −0.522163 | ||||||||
\(363\) | −29.3241 | + | 11.9890i | −1.53912 | + | 0.629261i | ||||
\(364\) | 9.59029 | + | 5.03209i | 0.502668 | + | 0.263753i | ||||
\(365\) | −1.43015 | + | 0.464685i | −0.0748577 | + | 0.0243227i | ||||
\(366\) | 10.2019 | + | 7.41213i | 0.533263 | + | 0.387438i | ||||
\(367\) | 6.40466 | + | 8.81526i | 0.334320 | + | 0.460153i | 0.942772 | − | 0.333439i | \(-0.108209\pi\) |
−0.608451 | + | 0.793591i | \(0.708209\pi\) | |||||||
\(368\) | −3.03381 | + | 9.33712i | −0.158148 | + | 0.486731i | ||||
\(369\) | −19.2401 | + | 59.2151i | −1.00160 | + | 3.08261i | ||||
\(370\) | 1.81479 | − | 1.31852i | 0.0943462 | − | 0.0685465i | ||||
\(371\) | 7.17961 | + | 14.5181i | 0.372747 | + | 0.753742i | ||||
\(372\) | −9.69742 | − | 29.8456i | −0.502788 | − | 1.54742i | ||||
\(373\) | 5.45840i | 0.282625i | 0.989965 | + | 0.141313i | \(0.0451322\pi\) | ||||
−0.989965 | + | 0.141313i | \(0.954868\pi\) | |||||||
\(374\) | −0.522569 | + | 1.83674i | −0.0270214 | + | 0.0949755i | ||||
\(375\) | 16.7117 | 0.862990 | ||||||||
\(376\) | −5.77632 | − | 17.7777i | −0.297891 | − | 0.916813i | ||||
\(377\) | 2.97326 | − | 4.09234i | 0.153131 | − | 0.210766i | ||||
\(378\) | 8.69785 | − | 1.27100i | 0.447369 | − | 0.0653733i | ||||
\(379\) | 1.84149 | − | 5.66752i | 0.0945909 | − | 0.291121i | −0.892556 | − | 0.450937i | \(-0.851090\pi\) |
0.987147 | + | 0.159816i | \(0.0510900\pi\) | |||||||
\(380\) | −5.07561 | − | 1.64916i | −0.260373 | − | 0.0846004i | ||||
\(381\) | 22.0594 | − | 16.0271i | 1.13014 | − | 0.821092i | ||||
\(382\) | −0.183201 | + | 0.252154i | −0.00937336 | + | 0.0129013i | ||||
\(383\) | −29.5035 | + | 9.58627i | −1.50756 | + | 0.489835i | −0.942212 | − | 0.335018i | \(-0.891258\pi\) |
−0.565347 | + | 0.824853i | \(0.691258\pi\) | |||||||
\(384\) | −32.7816 | −1.67288 | ||||||||
\(385\) | 4.76595 | + | 2.28017i | 0.242895 | + | 0.116208i | ||||
\(386\) | −6.25045 | −0.318140 | ||||||||
\(387\) | −8.72161 | + | 2.83382i | −0.443344 | + | 0.144051i | ||||
\(388\) | 5.97877 | − | 8.22907i | 0.303526 | − | 0.417768i | ||||
\(389\) | −18.9419 | + | 13.7621i | −0.960394 | + | 0.697767i | −0.953242 | − | 0.302207i | \(-0.902277\pi\) |
−0.00715202 | + | 0.999974i | \(0.502277\pi\) | |||||||
\(390\) | 1.94249 | + | 0.631154i | 0.0983620 | + | 0.0319597i | ||||
\(391\) | 1.36396 | − | 4.19785i | 0.0689786 | − | 0.212294i | ||||
\(392\) | −4.37446 | + | 12.4409i | −0.220943 | + | 0.628361i | ||||
\(393\) | −19.6020 | + | 26.9799i | −0.988791 | + | 1.36095i | ||||
\(394\) | −1.93036 | − | 5.94105i | −0.0972503 | − | 0.299306i | ||||
\(395\) | −0.716849 | −0.0360686 | ||||||||
\(396\) | 18.9394 | + | 24.1383i | 0.951742 | + | 1.21300i | ||||
\(397\) | 29.8394i | 1.49760i | 0.662798 | + | 0.748798i | \(0.269369\pi\) | ||||
−0.662798 | + | 0.748798i | \(0.730631\pi\) | |||||||
\(398\) | 1.32347 | + | 4.07322i | 0.0663396 | + | 0.204172i | ||||
\(399\) | −34.6503 | + | 17.1355i | −1.73468 | + | 0.857849i | ||||
\(400\) | −9.55705 | + | 6.94360i | −0.477852 | + | 0.347180i | ||||
\(401\) | 6.34865 | − | 19.5392i | 0.317037 | − | 0.975739i | −0.657871 | − | 0.753130i | \(-0.728543\pi\) |
0.974908 | − | 0.222608i | \(-0.0714571\pi\) | |||||||
\(402\) | 2.89451 | − | 8.90838i | 0.144365 | − | 0.444310i | ||||
\(403\) | −8.58783 | − | 11.8201i | −0.427791 | − | 0.588803i | ||||
\(404\) | −20.4177 | − | 14.8344i | −1.01582 | − | 0.738037i | ||||
\(405\) | −1.80299 | + | 0.585827i | −0.0895912 | + | 0.0291100i | ||||
\(406\) | 2.54314 | + | 1.33440i | 0.126214 | + | 0.0662252i | ||||
\(407\) | 23.0784 | − | 8.45392i | 1.14395 | − | 0.419045i | ||||
\(408\) | 6.21385 | 0.307632 | ||||||||
\(409\) | 3.84591 | + | 11.8365i | 0.190168 | + | 0.585277i | 0.999999 | − | 0.00138645i | \(-0.000441322\pi\) |
−0.809831 | + | 0.586663i | \(0.800441\pi\) | |||||||
\(410\) | −2.87986 | − | 2.09234i | −0.142226 | − | 0.103333i | ||||
\(411\) | 16.7239 | + | 23.0185i | 0.824928 | + | 1.13542i | ||||
\(412\) | 9.33542 | + | 3.03326i | 0.459923 | + | 0.149438i | ||||
\(413\) | −8.69167 | − | 8.90243i | −0.427689 | − | 0.438060i | ||||
\(414\) | 6.03014 | + | 8.29977i | 0.296365 | + | 0.407911i | ||||
\(415\) | −2.79780 | + | 3.85085i | −0.137339 | + | 0.189031i | ||||
\(416\) | −11.2490 | + | 3.65502i | −0.551527 | + | 0.179202i | ||||
\(417\) | 29.4227i | 1.44084i | ||||||||
\(418\) | 7.02262 | + | 4.71572i | 0.343487 | + | 0.230653i | ||||
\(419\) | − | 15.0711i | − | 0.736272i | −0.929772 | − | 0.368136i | \(-0.879996\pi\) | ||
0.929772 | − | 0.368136i | \(-0.120004\pi\) | |||||||
\(420\) | 1.34873 | − | 7.90174i | 0.0658111 | − | 0.385566i | ||||
\(421\) | 4.89327 | + | 3.55517i | 0.238484 | + | 0.173268i | 0.700607 | − | 0.713547i | \(-0.252912\pi\) |
−0.462124 | + | 0.886815i | \(0.652912\pi\) | |||||||
\(422\) | −7.21756 | + | 5.24387i | −0.351345 | + | 0.255267i | ||||
\(423\) | 49.9617 | + | 16.2335i | 2.42922 | + | 0.789302i | ||||
\(424\) | −10.9684 | − | 3.56384i | −0.532671 | − | 0.173075i | ||||
\(425\) | 4.29673 | − | 3.12176i | 0.208422 | − | 0.151427i | ||||
\(426\) | 6.23898 | + | 4.53289i | 0.302280 | + | 0.219619i | ||||
\(427\) | 3.87691 | − | 22.7136i | 0.187617 | − | 1.09919i | ||||
\(428\) | − | 14.0295i | − | 0.678141i | ||||||
\(429\) | 18.5785 | + | 12.4756i | 0.896980 | + | 0.602326i | ||||
\(430\) | − | 0.524297i | − | 0.0252838i | ||||||
\(431\) | −6.89094 | + | 2.23900i | −0.331925 | + | 0.107849i | −0.470238 | − | 0.882540i | \(-0.655832\pi\) |
0.138313 | + | 0.990389i | \(0.455832\pi\) | |||||||
\(432\) | 9.89458 | − | 13.6187i | 0.476053 | − | 0.655231i | ||||
\(433\) | 5.97745 | + | 8.22725i | 0.287258 | + | 0.395377i | 0.928121 | − | 0.372279i | \(-0.121423\pi\) |
−0.640863 | + | 0.767655i | \(0.721423\pi\) | |||||||
\(434\) | 5.93547 | − | 5.79495i | 0.284912 | − | 0.278167i | ||||
\(435\) | −3.56072 | − | 1.15695i | −0.170724 | − | 0.0554714i | ||||
\(436\) | −13.6532 | − | 18.7921i | −0.653871 | − | 0.899976i | ||||
\(437\) | −15.8179 | − | 11.4924i | −0.756674 | − | 0.549755i | ||||
\(438\) | −1.11751 | − | 3.43933i | −0.0533965 | − | 0.164338i | ||||
\(439\) | −8.57434 | −0.409231 | −0.204615 | − | 0.978842i | \(-0.565594\pi\) | ||||
−0.204615 | + | 0.978842i | \(0.565594\pi\) | |||||||
\(440\) | −3.53250 | + | 1.29400i | −0.168405 | + | 0.0616892i | ||||
\(441\) | −21.0599 | − | 30.4969i | −1.00285 | − | 1.45223i | ||||
\(442\) | 1.28292 | − | 0.416846i | 0.0610222 | − | 0.0198273i | ||||
\(443\) | 7.94072 | + | 5.76927i | 0.377275 | + | 0.274106i | 0.760221 | − | 0.649664i | \(-0.225091\pi\) |
−0.382946 | + | 0.923771i | \(0.625091\pi\) | |||||||
\(444\) | −21.9189 | − | 30.1687i | −1.04022 | − | 1.43175i | ||||
\(445\) | 2.23199 | − | 6.86935i | 0.105806 | − | 0.325639i | ||||
\(446\) | 0.230808 | − | 0.710353i | 0.0109291 | − | 0.0336362i | ||||
\(447\) | 10.6941 | − | 7.76969i | 0.505812 | − | 0.367494i | ||||
\(448\) | 2.99827 | + | 6.06289i | 0.141655 | + | 0.286445i | ||||
\(449\) | −4.79575 | − | 14.7598i | −0.226325 | − | 0.696558i | −0.998154 | − | 0.0607278i | \(-0.980658\pi\) |
0.771829 | − | 0.635830i | \(-0.219342\pi\) | |||||||
\(450\) | 12.3443i | 0.581918i | ||||||||
\(451\) | −24.0759 | − | 30.6847i | −1.13369 | − | 1.44489i | ||||
\(452\) | −1.75874 | −0.0827240 | ||||||||
\(453\) | −11.6974 | − | 36.0008i | −0.549590 | − | 1.69146i | ||||
\(454\) | −7.08785 | + | 9.75559i | −0.332649 | + | 0.457852i | ||||
\(455\) | −0.539630 | − | 3.69285i | −0.0252983 | − | 0.173124i | ||||
\(456\) | 8.50578 | − | 26.1781i | 0.398320 | − | 1.22590i | ||||
\(457\) | 25.9553 | + | 8.43339i | 1.21414 | + | 0.394497i | 0.844944 | − | 0.534855i | \(-0.179634\pi\) |
0.369194 | + | 0.929352i | \(0.379634\pi\) | |||||||
\(458\) | −0.148357 | + | 0.107788i | −0.00693227 | + | 0.00503659i | ||||
\(459\) | −4.44848 | + | 6.12281i | −0.207637 | + | 0.285788i | ||||
\(460\) | 3.85605 | − | 1.25291i | 0.179789 | − | 0.0584171i | ||||
\(461\) | 34.0355 | 1.58519 | 0.792595 | − | 0.609748i | \(-0.208730\pi\) | ||||
0.792595 | + | 0.609748i | \(0.208730\pi\) | |||||||
\(462\) | −5.48350 | + | 11.4615i | −0.255116 | + | 0.533236i | ||||
\(463\) | 19.2899 | 0.896477 | 0.448239 | − | 0.893914i | \(-0.352052\pi\) | ||||
0.448239 | + | 0.893914i | \(0.352052\pi\) | |||||||
\(464\) | 5.23074 | − | 1.69957i | 0.242831 | − | 0.0789006i | ||||
\(465\) | −6.35626 | + | 8.74864i | −0.294764 | + | 0.405708i | ||||
\(466\) | −1.07561 | + | 0.781474i | −0.0498265 | + | 0.0362011i | ||||
\(467\) | 22.9483 | + | 7.45636i | 1.06192 | + | 0.345039i | 0.787336 | − | 0.616524i | \(-0.211460\pi\) |
0.274585 | + | 0.961563i | \(0.411460\pi\) | |||||||
\(468\) | 6.69736 | − | 20.6124i | 0.309586 | − | 0.952807i | ||||
\(469\) | −16.9356 | + | 2.47477i | −0.782014 | + | 0.114274i | ||||
\(470\) | −1.76538 | + | 2.42983i | −0.0814307 | + | 0.112080i | ||||
\(471\) | 2.75097 | + | 8.46661i | 0.126758 | + | 0.390121i | ||||
\(472\) | 8.85934 | 0.407784 | ||||||||
\(473\) | 1.57199 | − | 5.52529i | 0.0722804 | − | 0.254053i | ||||
\(474\) | − | 1.72393i | − | 0.0791826i | ||||||
\(475\) | −7.26999 | − | 22.3747i | −0.333570 | − | 1.02662i | ||||
\(476\) | −2.34683 | − | 4.74560i | −0.107567 | − | 0.217514i | ||||
\(477\) | 26.2214 | − | 19.0509i | 1.20059 | − | 0.872283i | ||||
\(478\) | −2.73511 | + | 8.41781i | −0.125101 | + | 0.385022i | ||||
\(479\) | −12.0471 | + | 37.0771i | −0.550445 | + | 1.69410i | 0.157232 | + | 0.987562i | \(0.449743\pi\) |
−0.707678 | + | 0.706535i | \(0.750257\pi\) | |||||||
\(480\) | 5.14569 | + | 7.08243i | 0.234867 | + | 0.323267i | ||||
\(481\) | −14.0459 | − | 10.2049i | −0.640436 | − | 0.465304i | ||||
\(482\) | −4.09347 | + | 1.33005i | −0.186453 | + | 0.0605821i | ||||
\(483\) | 13.6451 | − | 26.0052i | 0.620873 | − | 1.18328i | ||||
\(484\) | −19.1671 | + | 1.41997i | −0.871232 | + | 0.0645443i | ||||
\(485\) | −3.50512 | −0.159159 | ||||||||
\(486\) | 1.67119 | + | 5.14340i | 0.0758068 | + | 0.233309i | ||||
\(487\) | 0.674777 | + | 0.490255i | 0.0305771 | + | 0.0222156i | 0.602969 | − | 0.797765i | \(-0.293984\pi\) |
−0.572392 | + | 0.819980i | \(0.693984\pi\) | |||||||
\(488\) | 9.64402 | + | 13.2738i | 0.436564 | + | 0.600879i | ||||
\(489\) | 5.59950 | + | 1.81939i | 0.253218 | + | 0.0822756i | ||||
\(490\) | 2.03032 | − | 0.606322i | 0.0917205 | − | 0.0273908i | ||||
\(491\) | −16.0996 | − | 22.1592i | −0.726565 | − | 1.00003i | −0.999280 | − | 0.0379363i | \(-0.987922\pi\) |
0.272715 | − | 0.962095i | \(-0.412078\pi\) | |||||||
\(492\) | −34.7827 | + | 47.8743i | −1.56813 | + | 2.15834i | ||||
\(493\) | −2.35168 | + | 0.764106i | −0.105914 | + | 0.0344136i | ||||
\(494\) | − | 5.97536i | − | 0.268844i | ||||||
\(495\) | 2.89322 | − | 10.1692i | 0.130040 | − | 0.457070i | ||||
\(496\) | − | 15.8858i | − | 0.713292i | ||||||
\(497\) | 2.37093 | − | 13.8905i | 0.106351 | − | 0.623073i | ||||
\(498\) | −9.26078 | − | 6.72835i | −0.414985 | − | 0.301505i | ||||
\(499\) | −16.1064 | + | 11.7020i | −0.721023 | + | 0.523854i | −0.886711 | − | 0.462324i | \(-0.847016\pi\) |
0.165688 | + | 0.986178i | \(0.447016\pi\) | |||||||
\(500\) | 9.64236 | + | 3.13299i | 0.431220 | + | 0.140112i | ||||
\(501\) | −20.0220 | − | 6.50553i | −0.894516 | − | 0.290646i | ||||
\(502\) | 1.25972 | − | 0.915241i | 0.0562241 | − | 0.0408492i | ||||
\(503\) | 1.38243 | + | 1.00439i | 0.0616393 | + | 0.0447836i | 0.618178 | − | 0.786038i | \(-0.287871\pi\) |
−0.556539 | + | 0.830822i | \(0.687871\pi\) | |||||||
\(504\) | 26.0141 | + | 4.44028i | 1.15876 | + | 0.197786i | ||||
\(505\) | 8.69679i | 0.387002i | ||||||||
\(506\) | −6.42212 | + | 0.237562i | −0.285498 | + | 0.0105609i | ||||
\(507\) | 21.6324i | 0.960727i | ||||||||
\(508\) | 15.7325 | − | 5.11180i | 0.698016 | − | 0.226799i | ||||
\(509\) | 7.35876 | − | 10.1285i | 0.326171 | − | 0.448936i | −0.614167 | − | 0.789176i | \(-0.710508\pi\) |
0.940339 | + | 0.340239i | \(0.110508\pi\) | |||||||
\(510\) | −0.586853 | − | 0.807734i | −0.0259863 | − | 0.0357671i | ||||
\(511\) | −4.72814 | + | 4.61620i | −0.209160 | + | 0.204209i | ||||
\(512\) | −21.3591 | − | 6.93998i | −0.943947 | − | 0.306707i | ||||
\(513\) | 19.7053 | + | 27.1220i | 0.870009 | + | 1.19746i | ||||
\(514\) | −5.55212 | − | 4.03385i | −0.244894 | − | 0.177926i | ||||
\(515\) | −1.04525 | − | 3.21694i | −0.0460591 | − | 0.141755i | ||||
\(516\) | −8.71584 | −0.383694 | ||||||||
\(517\) | −25.8897 | + | 20.3136i | −1.13863 | + | 0.893391i | ||||
\(518\) | 4.57998 | − | 8.72864i | 0.201233 | − | 0.383514i | ||||
\(519\) | −22.3946 | + | 7.27646i | −0.983016 | + | 0.319401i | ||||
\(520\) | 2.14994 | + | 1.56202i | 0.0942810 | + | 0.0684991i | ||||
\(521\) | 7.56304 | + | 10.4096i | 0.331343 | + | 0.456054i | 0.941888 | − | 0.335927i | \(-0.109050\pi\) |
−0.610545 | + | 0.791981i | \(0.709050\pi\) | |||||||
\(522\) | 1.77599 | − | 5.46595i | 0.0777332 | − | 0.239238i | ||||
\(523\) | 7.09499 | − | 21.8361i | 0.310242 | − | 0.954828i | −0.667426 | − | 0.744676i | \(-0.732604\pi\) |
0.977669 | − | 0.210152i | \(-0.0673959\pi\) | |||||||
\(524\) | −16.3680 | + | 11.8920i | −0.715039 | + | 0.519506i | ||||
\(525\) | 31.6753 | − | 15.6643i | 1.38242 | − | 0.683647i | ||||
\(526\) | −3.29358 | − | 10.1366i | −0.143607 | − | 0.441977i | ||||
\(527\) | 7.14204i | 0.311112i | ||||||||
\(528\) | 8.36926 | + | 22.8473i | 0.364225 | + | 0.994299i | ||||
\(529\) | −8.14590 | −0.354169 | ||||||||
\(530\) | 0.572621 | + | 1.76235i | 0.0248731 | + | 0.0765515i | ||||
\(531\) | −14.6347 | + | 20.1429i | −0.635090 | + | 0.874126i | ||||
\(532\) | −23.2050 | + | 3.39091i | −1.00606 | + | 0.147014i | ||||
\(533\) | −8.51371 | + | 26.2025i | −0.368770 | + | 1.13496i | ||||
\(534\) | 16.5199 | + | 5.36763i | 0.714885 | + | 0.232280i | ||||
\(535\) | −3.91119 | + | 2.84164i | −0.169095 | + | 0.122855i | ||||
\(536\) | 7.16351 | − | 9.85973i | 0.309416 | − | 0.425875i | ||||
\(537\) | 17.0612 | − | 5.54353i | 0.736246 | − | 0.239221i | ||||
\(538\) | −7.09405 | −0.305846 | ||||||||
\(539\) | 23.2144 | − | 0.302216i | 0.999915 | − | 0.0130174i | ||||
\(540\) | −6.95198 | −0.299166 | ||||||||
\(541\) | −22.0979 | + | 7.18003i | −0.950061 | + | 0.308694i | −0.742740 | − | 0.669579i | \(-0.766474\pi\) |
−0.207321 | + | 0.978273i | \(0.566474\pi\) | |||||||
\(542\) | 4.65330 | − | 6.40472i | 0.199876 | − | 0.275106i | ||||
\(543\) | 46.0425 | − | 33.4518i | 1.97587 | − | 1.43556i | ||||
\(544\) | 5.49884 | + | 1.78668i | 0.235761 | + | 0.0766033i | ||||
\(545\) | −2.47348 | + | 7.61258i | −0.105952 | + | 0.326087i | ||||
\(546\) | 8.88082 | − | 1.29774i | 0.380064 | − | 0.0555381i | ||||
\(547\) | 19.0007 | − | 26.1522i | 0.812411 | − | 1.11819i | −0.178536 | − | 0.983933i | \(-0.557136\pi\) |
0.990947 | − | 0.134255i | \(-0.0428640\pi\) | |||||||
\(548\) | 5.33404 | + | 16.4165i | 0.227859 | + | 0.701278i | ||||
\(549\) | −46.1107 | −1.96796 | ||||||||
\(550\) | −6.41968 | − | 4.31084i | −0.273736 | − | 0.183815i | ||||
\(551\) | 10.9532i | 0.466623i | ||||||||
\(552\) | 6.46203 | + | 19.8881i | 0.275042 | + | 0.846493i | ||||
\(553\) | −2.82363 | + | 1.39636i | −0.120073 | + | 0.0593795i | ||||
\(554\) | −2.71875 | + | 1.97529i | −0.115509 | + | 0.0839219i | ||||
\(555\) | −3.97092 | + | 12.2212i | −0.168556 | + | 0.518762i | ||||
\(556\) | −5.51596 | + | 16.9764i | −0.233929 | + | 0.719958i | ||||
\(557\) | −7.31007 | − | 10.0614i | −0.309737 | − | 0.426317i | 0.625562 | − | 0.780175i | \(-0.284870\pi\) |
−0.935299 | + | 0.353857i | \(0.884870\pi\) | |||||||
\(558\) | −13.4298 | − | 9.75729i | −0.568527 | − | 0.413059i | ||||
\(559\) | −3.85928 | + | 1.25396i | −0.163230 | + | 0.0530368i | ||||
\(560\) | 1.88539 | − | 3.59322i | 0.0796722 | − | 0.151841i | ||||
\(561\) | −3.76272 | − | 10.2718i | −0.158862 | − | 0.433677i | ||||
\(562\) | 11.1224 | 0.469169 | ||||||||
\(563\) | 0.680246 | + | 2.09358i | 0.0286689 | + | 0.0882339i | 0.964367 | − | 0.264567i | \(-0.0852292\pi\) |
−0.935698 | + | 0.352801i | \(0.885229\pi\) | |||||||
\(564\) | 40.3932 | + | 29.3474i | 1.70086 | + | 1.23575i | ||||
\(565\) | 0.356228 | + | 0.490306i | 0.0149866 | + | 0.0206273i | ||||
\(566\) | −6.63508 | − | 2.15587i | −0.278893 | − | 0.0906179i | ||||
\(567\) | −5.96074 | + | 5.81962i | −0.250327 | + | 0.244401i | ||||
\(568\) | 5.89779 | + | 8.11762i | 0.247466 | + | 0.340608i | ||||
\(569\) | 26.9961 | − | 37.1569i | 1.13173 | − | 1.55770i | 0.347002 | − | 0.937864i | \(-0.387200\pi\) |
0.784732 | − | 0.619835i | \(-0.212800\pi\) | |||||||
\(570\) | −4.20618 | + | 1.36667i | −0.176178 | + | 0.0572436i | ||||
\(571\) | 42.4864i | 1.77800i | 0.457905 | + | 0.889001i | \(0.348600\pi\) | ||||
−0.457905 | + | 0.889001i | \(0.651400\pi\) | |||||||
\(572\) | 8.38064 | + | 10.6811i | 0.350412 | + | 0.446601i | ||||
\(573\) | − | 1.78546i | − | 0.0745885i | ||||||
\(574\) | −15.4193 | − | 2.63188i | −0.643590 | − | 0.109853i | ||||
\(575\) | 14.4598 | + | 10.5057i | 0.603017 | + | 0.438118i | ||||
\(576\) | 10.9503 | − | 7.95585i | 0.456262 | − | 0.331494i | ||||
\(577\) | −29.2038 | − | 9.48889i | −1.21577 | − | 0.395028i | −0.370230 | − | 0.928940i | \(-0.620721\pi\) |
−0.845540 | + | 0.533913i | \(0.820721\pi\) | |||||||
\(578\) | 7.50138 | + | 2.43735i | 0.312016 | + | 0.101380i | ||||
\(579\) | 28.9674 | − | 21.0461i | 1.20385 | − | 0.874645i | ||||
\(580\) | −1.83757 | − | 1.33508i | −0.0763011 | − | 0.0554360i | ||||
\(581\) | −3.51926 | + | 20.6182i | −0.146004 | + | 0.855387i | ||||
\(582\) | − | 8.42934i | − | 0.349407i | ||||||
\(583\) | 0.750529 | + | 20.2893i | 0.0310837 | + | 0.840298i | ||||
\(584\) | − | 4.70525i | − | 0.194705i | ||||||
\(585\) | −7.10292 | + | 2.30788i | −0.293670 | + | 0.0954190i | ||||
\(586\) | −2.10160 | + | 2.89261i | −0.0868164 | + | 0.119493i | ||||
\(587\) | −10.2465 | − | 14.1031i | −0.422917 | − | 0.582096i | 0.543392 | − | 0.839479i | \(-0.317140\pi\) |
−0.966309 | + | 0.257383i | \(0.917140\pi\) | |||||||
\(588\) | −10.0794 | − | 33.7518i | −0.415668 | − | 1.39190i | ||||
\(589\) | 30.0885 | + | 9.77633i | 1.23977 | + | 0.402827i | ||||
\(590\) | −0.836700 | − | 1.15162i | −0.0344464 | − | 0.0474114i | ||||
\(591\) | 28.9504 | + | 21.0337i | 1.19086 | + | 0.865212i | ||||
\(592\) | −5.83333 | − | 17.9531i | −0.239748 | − | 0.737869i | ||||
\(593\) | −5.06886 | −0.208153 | −0.104077 | − | 0.994569i | \(-0.533189\pi\) | ||||
−0.104077 | + | 0.994569i | \(0.533189\pi\) | |||||||
\(594\) | 10.5985 | + | 3.01537i | 0.434863 | + | 0.123722i | ||||
\(595\) | −0.847648 | + | 1.61547i | −0.0347502 | + | 0.0662278i | ||||
\(596\) | 7.62688 | − | 2.47812i | 0.312409 | − | 0.101508i | ||||
\(597\) | −19.8486 | − | 14.4209i | −0.812351 | − | 0.590207i | ||||
\(598\) | 2.66832 | + | 3.67262i | 0.109116 | + | 0.150185i | ||||
\(599\) | −0.294029 | + | 0.904929i | −0.0120137 | + | 0.0369744i | −0.956884 | − | 0.290471i | \(-0.906188\pi\) |
0.944870 | + | 0.327446i | \(0.106188\pi\) | |||||||
\(600\) | −7.77551 | + | 23.9305i | −0.317434 | + | 0.976961i | ||||
\(601\) | −15.6139 | + | 11.3442i | −0.636904 | + | 0.462738i | −0.858785 | − | 0.512336i | \(-0.828780\pi\) |
0.221881 | + | 0.975074i | \(0.428780\pi\) | |||||||
\(602\) | −1.02129 | − | 2.06518i | −0.0416246 | − | 0.0841704i | ||||
\(603\) | 10.5841 | + | 32.5744i | 0.431016 | + | 1.32653i | ||||
\(604\) | − | 22.9647i | − | 0.934422i | ||||||
\(605\) | 4.27812 | + | 5.05585i | 0.173930 | + | 0.205550i | ||||
\(606\) | −20.9146 | −0.849598 | ||||||||
\(607\) | 5.95104 | + | 18.3154i | 0.241545 | + | 0.743400i | 0.996185 | + | 0.0872611i | \(0.0278114\pi\) |
−0.754640 | + | 0.656139i | \(0.772189\pi\) | |||||||
\(608\) | 15.0541 | − | 20.7202i | 0.610523 | − | 0.840313i | ||||
\(609\) | −16.2791 | + | 2.37884i | −0.659664 | + | 0.0963956i | ||||
\(610\) | 0.814651 | − | 2.50724i | 0.0329842 | − | 0.101515i | ||||
\(611\) | 22.1079 | + | 7.18330i | 0.894390 | + | 0.290605i | ||||
\(612\) | −8.57111 | + | 6.22727i | −0.346466 | + | 0.251723i | ||||
\(613\) | −2.91340 | + | 4.00995i | −0.117671 | + | 0.161960i | −0.863789 | − | 0.503853i | \(-0.831915\pi\) |
0.746118 | + | 0.665813i | \(0.231915\pi\) | |||||||
\(614\) | 8.97506 | − | 2.91617i | 0.362204 | − | 0.117687i | ||||
\(615\) | 20.3917 | 0.822274 | ||||||||
\(616\) | −11.3937 | + | 11.9780i | −0.459066 | + | 0.482609i | ||||
\(617\) | −41.6246 | −1.67574 | −0.837871 | − | 0.545869i | \(-0.816200\pi\) | ||||
−0.837871 | + | 0.545869i | \(0.816200\pi\) | |||||||
\(618\) | 7.73631 | − | 2.51368i | 0.311200 | − | 0.101115i | ||||
\(619\) | −3.60384 | + | 4.96026i | −0.144850 | + | 0.199370i | −0.875277 | − | 0.483621i | \(-0.839321\pi\) |
0.730427 | + | 0.682991i | \(0.239321\pi\) | |||||||
\(620\) | −5.30757 | + | 3.85618i | −0.213157 | + | 0.154868i | ||||
\(621\) | −24.2228 | − | 7.87047i | −0.972029 | − | 0.315831i | ||||
\(622\) | 0.557302 | − | 1.71520i | 0.0223458 | − | 0.0687732i | ||||
\(623\) | −4.58927 | − | 31.4058i | −0.183865 | − | 1.25825i | ||||
\(624\) | 10.1027 | − | 13.9052i | 0.404432 | − | 0.556654i | ||||
\(625\) | 6.08570 | + | 18.7299i | 0.243428 | + | 0.749194i | ||||
\(626\) | 13.2628 | 0.530086 | ||||||||
\(627\) | −48.4244 | + | 1.79128i | −1.93388 | + | 0.0715369i | ||||
\(628\) | 5.40081i | 0.215516i | ||||||||
\(629\) | 2.62259 | + | 8.07151i | 0.104570 | + | 0.321832i | ||||
\(630\) | −1.87966 | − | 3.80091i | −0.0748874 | − | 0.151432i | ||||
\(631\) | 6.36106 | − | 4.62158i | 0.253230 | − | 0.183982i | −0.453927 | − | 0.891039i | \(-0.649977\pi\) |
0.707157 | + | 0.707057i | \(0.249977\pi\) | |||||||
\(632\) | 0.693132 | − | 2.13324i | 0.0275713 | − | 0.0848557i | ||||
\(633\) | 15.7927 | − | 48.6049i | 0.627703 | − | 1.93187i | ||||
\(634\) | −1.88083 | − | 2.58874i | −0.0746974 | − | 0.102812i | ||||
\(635\) | −4.61167 | − | 3.35057i | −0.183008 | − | 0.132963i | ||||
\(636\) | 29.2970 | − | 9.51918i | 1.16170 | − | 0.377460i | ||||
\(637\) | −9.31896 | − | 13.4948i | −0.369231 | − | 0.534683i | ||||
\(638\) | 2.22236 | + | 2.83240i | 0.0879842 | + | 0.112136i | ||||
\(639\) | −28.1990 | −1.11553 | ||||||||
\(640\) | 2.11776 | + | 6.51779i | 0.0837118 | + | 0.257638i | ||||
\(641\) | −10.3718 | − | 7.53556i | −0.409662 | − | 0.297637i | 0.363803 | − | 0.931476i | \(-0.381478\pi\) |
−0.773465 | + | 0.633839i | \(0.781478\pi\) | |||||||
\(642\) | −6.83378 | − | 9.40589i | −0.269708 | − | 0.371221i | ||||
\(643\) | 3.58204 | + | 1.16388i | 0.141262 | + | 0.0458988i | 0.378795 | − | 0.925481i | \(-0.376339\pi\) |
−0.237533 | + | 0.971380i | \(0.576339\pi\) | |||||||
\(644\) | 12.7482 | − | 12.4464i | 0.502350 | − | 0.490458i | ||||
\(645\) | 1.76538 | + | 2.42983i | 0.0695116 | + | 0.0956745i | ||||
\(646\) | −1.71688 | + | 2.36308i | −0.0675498 | + | 0.0929743i | ||||
\(647\) | 30.6901 | − | 9.97183i | 1.20655 | − | 0.392033i | 0.364386 | − | 0.931248i | \(-0.381279\pi\) |
0.842168 | + | 0.539215i | \(0.181279\pi\) | |||||||
\(648\) | − | 5.93188i | − | 0.233026i | ||||||
\(649\) | −5.36465 | − | 14.6450i | −0.210581 | − | 0.574865i | ||||
\(650\) | 5.46234i | 0.214250i | ||||||||
\(651\) | −7.99532 | + | 46.8419i | −0.313361 | + | 1.83588i | ||||
\(652\) | 2.88972 | + | 2.09951i | 0.113170 | + | 0.0822230i | ||||
\(653\) | −15.0823 | + | 10.9579i | −0.590216 | + | 0.428817i | −0.842393 | − | 0.538864i | \(-0.818854\pi\) |
0.252177 | + | 0.967681i | \(0.418854\pi\) | |||||||
\(654\) | −18.3072 | − | 5.94839i | −0.715870 | − | 0.232600i | ||||
\(655\) | 6.63060 | + | 2.15441i | 0.259079 | + | 0.0841799i | ||||
\(656\) | −24.2347 | + | 17.6075i | −0.946205 | + | 0.687458i | ||||
\(657\) | 10.6980 | + | 7.77256i | 0.417369 | + | 0.303236i | ||||
\(658\) | −2.22060 | + | 13.0098i | −0.0865682 | + | 0.507174i | ||||
\(659\) | 29.3896i | 1.14486i | 0.819954 | + | 0.572429i | \(0.193999\pi\) | ||||
−0.819954 | + | 0.572429i | \(0.806001\pi\) | |||||||
\(660\) | 5.60188 | − | 8.34228i | 0.218053 | − | 0.324723i | ||||
\(661\) | − | 10.6779i | − | 0.415321i | −0.978201 | − | 0.207660i | \(-0.933415\pi\) | ||
0.978201 | − | 0.207660i | \(-0.0665849\pi\) | |||||||
\(662\) | −4.50187 | + | 1.46275i | −0.174970 | + | 0.0568512i | ||||
\(663\) | −4.54206 | + | 6.25161i | −0.176399 | + | 0.242792i | ||||
\(664\) | −8.75434 | − | 12.0493i | −0.339734 | − | 0.467604i | ||||
\(665\) | 5.64545 | + | 5.78234i | 0.218921 | + | 0.224230i | ||||
\(666\) | −18.7604 | − | 6.09563i | −0.726951 | − | 0.236201i | ||||
\(667\) | −4.89120 | − | 6.73217i | −0.189388 | − | 0.260671i | ||||
\(668\) | −10.3327 | − | 7.50714i | −0.399784 | − | 0.290460i | ||||
\(669\) | 1.32218 | + | 4.06926i | 0.0511185 | + | 0.157327i | ||||
\(670\) | −1.95820 | −0.0756519 | ||||||||
\(671\) | 16.1026 | − | 23.9799i | 0.621634 | − | 0.925733i | ||||
\(672\) | 34.0646 | + | 17.8739i | 1.31407 | + | 0.689502i | ||||
\(673\) | 3.75350 | − | 1.21958i | 0.144687 | − | 0.0470115i | −0.235778 | − | 0.971807i | \(-0.575764\pi\) |
0.380465 | + | 0.924795i | \(0.375764\pi\) | |||||||
\(674\) | 2.24427 | + | 1.63056i | 0.0864461 | + | 0.0628068i | ||||
\(675\) | −18.0134 | − | 24.7934i | −0.693338 | − | 0.954298i | ||||
\(676\) | −4.05548 | + | 12.4815i | −0.155980 | + | 0.480057i | ||||
\(677\) | 7.02753 | − | 21.6285i | 0.270090 | − | 0.831251i | −0.720387 | − | 0.693572i | \(-0.756036\pi\) |
0.990477 | − | 0.137679i | \(-0.0439642\pi\) | |||||||
\(678\) | −1.17912 | + | 0.856682i | −0.0452839 | + | 0.0329007i | ||||
\(679\) | −13.8065 | + | 6.82769i | −0.529844 | + | 0.262023i | ||||
\(680\) | −0.401428 | − | 1.23547i | −0.0153941 | − | 0.0473781i | ||||
\(681\) | − | 69.0775i | − | 2.64706i | ||||||
\(682\) | 9.76416 | − | 3.57675i | 0.373889 | − | 0.136961i | ||||
\(683\) | 24.2074 | 0.926271 | 0.463136 | − | 0.886287i | \(-0.346724\pi\) | ||||
0.463136 | + | 0.886287i | \(0.346724\pi\) | |||||||
\(684\) | 14.5022 | + | 44.6330i | 0.554504 | + | 1.70659i | ||||
\(685\) | 3.49624 | − | 4.81217i | 0.133585 | − | 0.183863i | ||||
\(686\) | 6.81626 | − | 6.34317i | 0.260246 | − | 0.242183i | ||||
\(687\) | 0.324619 | − | 0.999075i | 0.0123850 | − | 0.0381171i | ||||
\(688\) | −4.19614 | − | 1.36341i | −0.159976 | − | 0.0519795i | ||||
\(689\) | 11.6029 | − | 8.42999i | 0.442035 | − | 0.321157i | ||||
\(690\) | 1.97495 | − | 2.71828i | 0.0751849 | − | 0.103483i | ||||
\(691\) | −40.6642 | + | 13.2126i | −1.54694 | + | 0.502631i | −0.953281 | − | 0.302085i | \(-0.902317\pi\) |
−0.593660 | + | 0.804716i | \(0.702317\pi\) | |||||||
\(692\) | −14.2854 | −0.543051 | ||||||||
\(693\) | −8.41249 | − | 45.6916i | −0.319564 | − | 1.73568i | ||||
\(694\) | 16.5784 | 0.629308 | ||||||||
\(695\) | 5.84997 | − | 1.90077i | 0.221902 | − | 0.0721004i | ||||
\(696\) | 6.88583 | − | 9.47753i | 0.261007 | − | 0.359245i | ||||
\(697\) | 10.8956 | − | 7.91612i | 0.412701 | − | 0.299845i | ||||
\(698\) | 12.7379 | + | 4.13879i | 0.482136 | + | 0.156656i | ||||
\(699\) | 2.35353 | − | 7.24341i | 0.0890186 | − | 0.273971i | ||||
\(700\) | 21.2127 | − | 3.09977i | 0.801765 | − | 0.117160i | ||||
\(701\) | 0.245685 | − | 0.338156i | 0.00927939 | − | 0.0127720i | −0.804352 | − | 0.594153i | \(-0.797487\pi\) |
0.813631 | + | 0.581381i | \(0.197487\pi\) | |||||||
\(702\) | −2.40532 | − | 7.40282i | −0.0907830 | − | 0.279401i | ||||
\(703\) | 37.5941 | 1.41789 | ||||||||
\(704\) | 0.313427 | + | 8.47301i | 0.0118127 | + | 0.319338i | ||||
\(705\) | − | 17.2052i | − | 0.647985i | ||||||
\(706\) | −4.94039 | − | 15.2050i | −0.185934 | − | 0.572246i | ||||
\(707\) | 16.9407 | + | 34.2562i | 0.637119 | + | 1.28834i | ||||
\(708\) | −19.1443 | + | 13.9092i | −0.719489 | + | 0.522739i | ||||
\(709\) | −11.9682 | + | 36.8342i | −0.449474 | + | 1.38334i | 0.428028 | + | 0.903766i | \(0.359209\pi\) |
−0.877502 | + | 0.479573i | \(0.840791\pi\) | |||||||
\(710\) | 0.498199 | − | 1.53330i | 0.0186971 | − | 0.0575437i | ||||
\(711\) | 3.70523 | + | 5.09981i | 0.138957 | + | 0.191258i | ||||
\(712\) | 18.2841 | + | 13.2842i | 0.685225 | + | 0.497845i | ||||
\(713\) | −22.8589 | + | 7.42730i | −0.856071 | + | 0.278154i | ||||
\(714\) | −3.88499 | − | 2.03848i | −0.145392 | − | 0.0762882i | ||||
\(715\) | 1.28024 | − | 4.49982i | 0.0478782 | − | 0.168284i | ||||
\(716\) | 10.8833 | 0.406727 | ||||||||
\(717\) | −15.6681 | − | 48.2214i | −0.585136 | − | 1.80086i | ||||
\(718\) | 12.8765 | + | 9.35531i | 0.480546 | + | 0.349137i | ||||
\(719\) | −16.3079 | − | 22.4459i | −0.608182 | − | 0.837090i | 0.388245 | − | 0.921556i | \(-0.373082\pi\) |
−0.996426 | + | 0.0844661i | \(0.973082\pi\) | |||||||
\(720\) | −7.72290 | − | 2.50932i | −0.287815 | − | 0.0935169i | ||||
\(721\) | −10.3835 | − | 10.6353i | −0.386703 | − | 0.396079i | ||||
\(722\) | 1.99049 | + | 2.73968i | 0.0740784 | + | 0.101960i | ||||
\(723\) | 14.4926 | − | 19.9473i | 0.538984 | − | 0.741848i | ||||
\(724\) | 32.8370 | − | 10.6694i | 1.22038 | − | 0.396524i | ||||
\(725\) | − | 10.0128i | − | 0.371867i | ||||||
\(726\) | −12.1587 | + | 10.2883i | −0.451250 | + | 0.381835i | ||||
\(727\) | 0.575775i | 0.0213543i | 0.999943 | + | 0.0106772i | \(0.00339871\pi\) | ||||
−0.999943 | + | 0.0106772i | \(0.996601\pi\) | |||||||
\(728\) | 11.5112 | + | 1.96481i | 0.426633 | + | 0.0728208i | ||||
\(729\) | −32.7055 | − | 23.7619i | −1.21132 | − | 0.880072i | ||||
\(730\) | −0.611632 | + | 0.444376i | −0.0226375 | + | 0.0164471i | ||||
\(731\) | 1.88653 | + | 0.612972i | 0.0697759 | + | 0.0226716i | ||||
\(732\) | −41.6800 | − | 13.5426i | −1.54054 | − | 0.500550i | ||||
\(733\) | −16.5846 | + | 12.0494i | −0.612567 | + | 0.445056i | −0.850317 | − | 0.526270i | \(-0.823590\pi\) |
0.237750 | + | 0.971326i | \(0.423590\pi\) | |||||||
\(734\) | 4.43191 | + | 3.21997i | 0.163585 | + | 0.118851i | ||||
\(735\) | −7.36787 | + | 9.64632i | −0.271768 | + | 0.355810i | ||||
\(736\) | 19.4576i | 0.717218i | ||||||||
\(737\) | −20.6364 | − | 5.87125i | −0.760153 | − | 0.216270i | ||||
\(738\) | 31.3027i | 1.15227i | ||||||||
\(739\) | 29.1920 | − | 9.48505i | 1.07384 | − | 0.348913i | 0.281861 | − | 0.959455i | \(-0.409048\pi\) |
0.791984 | + | 0.610542i | \(0.209048\pi\) | |||||||
\(740\) | −4.58229 | + | 6.30698i | −0.168448 | + | 0.231849i | ||||
\(741\) | 20.1198 | + | 27.6925i | 0.739119 | + | 1.01731i | ||||
\(742\) | 5.68844 | + | 5.82637i | 0.208829 | + | 0.213893i | ||||
\(743\) | −22.6044 | − | 7.34460i | −0.829273 | − | 0.269447i | −0.136534 | − | 0.990635i | \(-0.543596\pi\) |
−0.692739 | + | 0.721188i | \(0.743596\pi\) | |||||||
\(744\) | −19.8887 | − | 27.3745i | −0.729157 | − | 1.00360i | ||||
\(745\) | −2.23567 | − | 1.62431i | −0.0819085 | − | 0.0595100i | ||||
\(746\) | 0.848014 | + | 2.60992i | 0.0310480 | + | 0.0955559i | ||||
\(747\) | 41.8569 | 1.53146 | ||||||||
\(748\) | −0.245329 | − | 6.63207i | −0.00897011 | − | 0.242492i | ||||
\(749\) | −9.87067 | + | 18.8118i | −0.360666 | + | 0.687367i | ||||
\(750\) | 7.99068 | − | 2.59633i | 0.291778 | − | 0.0948045i | ||||
\(751\) | −10.3161 | − | 7.49507i | −0.376439 | − | 0.273499i | 0.383437 | − | 0.923567i | \(-0.374740\pi\) |
−0.759876 | + | 0.650068i | \(0.774740\pi\) | |||||||
\(752\) | 14.8561 | + | 20.4476i | 0.541744 | + | 0.745647i | ||||
\(753\) | −2.75639 | + | 8.48328i | −0.100448 | + | 0.309148i | ||||
\(754\) | 0.785872 | − | 2.41867i | 0.0286198 | − | 0.0880826i | ||||
\(755\) | −6.40218 | + | 4.65146i | −0.232999 | + | 0.169284i | ||||
\(756\) | −27.3835 | + | 13.5419i | −0.995928 | + | 0.492514i | ||||
\(757\) | 7.72678 | + | 23.7806i | 0.280835 | + | 0.864320i | 0.987616 | + | 0.156888i | \(0.0501463\pi\) |
−0.706782 | + | 0.707432i | \(0.749854\pi\) | |||||||
\(758\) | − | 2.99600i | − | 0.108820i | ||||||
\(759\) | 28.9631 | − | 22.7251i | 1.05129 | − | 0.824868i | ||||
\(760\) | −5.75435 | −0.208732 | ||||||||
\(761\) | −1.01459 | − | 3.12259i | −0.0367789 | − | 0.113194i | 0.930982 | − | 0.365066i | \(-0.118954\pi\) |
−0.967760 | + | 0.251872i | \(0.918954\pi\) | |||||||
\(762\) | 8.05768 | − | 11.0904i | 0.291899 | − | 0.401764i | ||||
\(763\) | 5.08581 | + | 34.8037i | 0.184119 | + | 1.25998i | ||||
\(764\) | 0.334724 | − | 1.03017i | 0.0121099 | − | 0.0372704i | ||||
\(765\) | 3.47212 | + | 1.12816i | 0.125535 | + | 0.0407887i | ||||
\(766\) | −12.6177 | + | 9.16730i | −0.455896 | + | 0.331228i | ||||
\(767\) | −6.47579 | + | 8.91316i | −0.233827 | + | 0.321836i | ||||
\(768\) | −1.66981 | + | 0.542554i | −0.0602541 | + | 0.0195777i | ||||
\(769\) | −16.9051 | −0.609613 | −0.304806 | − | 0.952414i | \(-0.598592\pi\) | ||||
−0.304806 | + | 0.952414i | \(0.598592\pi\) | |||||||
\(770\) | 2.63307 | + | 0.349822i | 0.0948893 | + | 0.0126067i | ||||
\(771\) | 39.3136 | 1.41584 | ||||||||
\(772\) | 20.6592 | − | 6.71259i | 0.743542 | − | 0.241591i | ||||
\(773\) | −1.73912 | + | 2.39370i | −0.0625519 | + | 0.0860953i | −0.839147 | − | 0.543905i | \(-0.816945\pi\) |
0.776595 | + | 0.630000i | \(0.216945\pi\) | |||||||
\(774\) | −3.72995 | + | 2.70997i | −0.134070 | + | 0.0974079i | ||||
\(775\) | −27.5052 | − | 8.93697i | −0.988015 | − | 0.321025i | ||||
\(776\) | 3.38915 | − | 10.4307i | 0.121663 | − | 0.374441i | ||||
\(777\) | 8.16475 | + | 55.8738i | 0.292909 | + | 2.00446i | ||||
\(778\) | −6.91896 | + | 9.52314i | −0.248057 | + | 0.341421i | ||||
\(779\) | −18.4352 | − | 56.7376i | −0.660508 | − | 2.03284i | ||||
\(780\) | −7.09822 | −0.254157 | ||||||||
\(781\) | 9.84753 | − | 14.6649i | 0.352372 | − | 0.524751i | ||||
\(782\) | − | 2.21910i | − | 0.0793548i | ||||||
\(783\) | 4.40912 | + | 13.5699i | 0.157569 | + | 0.484948i | ||||
\(784\) | 0.427137 | − | 17.8261i | 0.0152549 | − | 0.636647i | ||||
\(785\) | 1.50565 | − | 1.09392i | 0.0537391 | − | 0.0390437i | ||||
\(786\) | −5.18108 | + | 15.9457i | −0.184803 | + | 0.568765i | ||||
\(787\) | −5.33002 | + | 16.4041i | −0.189995 | + | 0.584743i | −0.999999 | − | 0.00168101i | \(-0.999465\pi\) |
0.810004 | + | 0.586424i | \(0.199465\pi\) | |||||||
\(788\) | 12.7606 | + | 17.5635i | 0.454578 | + | 0.625673i | ||||
\(789\) | 49.3952 | + | 35.8877i | 1.75851 | + | 1.27764i | ||||
\(790\) | −0.342760 | + | 0.111369i | −0.0121948 | + | 0.00396234i | ||||
\(791\) | 2.35824 | + | 1.23739i | 0.0838494 | + | 0.0439964i | ||||
\(792\) | 27.4645 | + | 18.4425i | 0.975908 | + | 0.655326i | ||||
\(793\) | −20.4039 | −0.724562 | ||||||||
\(794\) | 4.63584 | + | 14.2676i | 0.164520 | + | 0.506340i | ||||
\(795\) | −8.58783 | − | 6.23943i | −0.304579 | − | 0.221290i | ||||
\(796\) | −8.74877 | − | 12.0417i | −0.310092 | − | 0.426805i | ||||
\(797\) | −21.1480 | − | 6.87140i | −0.749101 | − | 0.243398i | −0.0905065 | − | 0.995896i | \(-0.528849\pi\) |
−0.658594 | + | 0.752498i | \(0.728849\pi\) | |||||||
\(798\) | −13.9058 | + | 13.5766i | −0.492259 | + | 0.480605i | ||||
\(799\) | −6.67910 | − | 9.19299i | −0.236289 | − | 0.325225i | ||||
\(800\) | −13.7616 | + | 18.9412i | −0.486546 | + | 0.669672i | ||||
\(801\) | −60.4066 | + | 19.6273i | −2.13436 | + | 0.693496i | ||||
\(802\) | − | 10.3289i | − | 0.364727i | ||||||
\(803\) | −7.77803 | + | 2.84920i | −0.274481 | + | 0.100546i | ||||
\(804\) | 32.5528i | 1.14805i | ||||||||
\(805\) | −6.05198 | − | 1.03300i | −0.213304 | − | 0.0364083i | ||||
\(806\) | −5.94262 | − | 4.31757i | −0.209320 | − | 0.152080i | ||||
\(807\) | 32.8770 | − | 23.8866i | 1.15733 | − | 0.840847i | ||||
\(808\) | −25.8804 | − | 8.40905i | −0.910469 | − | 0.295829i | ||||
\(809\) | 8.97923 | + | 2.91753i | 0.315693 | + | 0.102575i | 0.462578 | − | 0.886579i | \(-0.346925\pi\) |
−0.146885 | + | 0.989154i | \(0.546925\pi\) | |||||||
\(810\) | −0.771081 | + | 0.560223i | −0.0270930 | + | 0.0196842i | ||||
\(811\) | −23.9489 | − | 17.3999i | −0.840960 | − | 0.610993i | 0.0816789 | − | 0.996659i | \(-0.473972\pi\) |
−0.922639 | + | 0.385666i | \(0.873972\pi\) | |||||||
\(812\) | −9.83873 | − | 1.67935i | −0.345272 | − | 0.0589335i | ||||
\(813\) | 45.3506i | 1.59052i | ||||||||
\(814\) | 9.72147 | − | 7.62767i | 0.340737 | − | 0.267350i | ||||
\(815\) | − | 1.23086i | − | 0.0431150i | ||||||
\(816\) | −7.99068 | + | 2.59633i | −0.279730 | + | 0.0908897i | ||||
\(817\) | 5.16473 | − | 7.10864i | 0.180691 | − | 0.248700i | ||||
\(818\) | 3.67782 | + | 5.06209i | 0.128592 | + | 0.176992i | ||||
\(819\) | −23.4825 | + | 22.9265i | −0.820544 | + | 0.801118i | ||||
\(820\) | 11.7657 | + | 3.82289i | 0.410874 | + | 0.133501i | ||||
\(821\) | 23.6980 | + | 32.6174i | 0.827065 | + | 1.13836i | 0.988462 | + | 0.151467i | \(0.0483998\pi\) |
−0.161398 | + | 0.986889i | \(0.551600\pi\) | |||||||
\(822\) | 11.5726 | + | 8.40800i | 0.403642 | + | 0.293263i | ||||
\(823\) | −12.7996 | − | 39.3932i | −0.446166 | − | 1.37316i | −0.881199 | − | 0.472745i | \(-0.843263\pi\) |
0.435033 | − | 0.900415i | \(-0.356737\pi\) | |||||||
\(824\) | 10.5838 | 0.368705 | ||||||||
\(825\) | 44.2669 | − | 1.63749i | 1.54117 | − | 0.0570100i | ||||
\(826\) | −5.53898 | − | 2.90634i | −0.192726 | − | 0.101125i | ||||
\(827\) | 29.2143 | − | 9.49231i | 1.01588 | − | 0.330080i | 0.246688 | − | 0.969095i | \(-0.420658\pi\) |
0.769194 | + | 0.639015i | \(0.220658\pi\) | |||||||
\(828\) | −28.8445 | − | 20.9567i | −1.00241 | − | 0.728297i | ||||
\(829\) | 26.2454 | + | 36.1238i | 0.911542 | + | 1.25463i | 0.966637 | + | 0.256149i | \(0.0824537\pi\) |
−0.0550955 | + | 0.998481i | \(0.517546\pi\) | |||||||
\(830\) | −0.739498 | + | 2.27594i | −0.0256683 | + | 0.0789990i | ||||
\(831\) | 5.94887 | − | 18.3088i | 0.206364 | − | 0.635124i | ||||
\(832\) | 4.84547 | − | 3.52044i | 0.167986 | − | 0.122049i | ||||
\(833\) | −0.192035 | + | 8.01440i | −0.00665363 | + | 0.277682i | ||||
\(834\) | 4.57110 | + | 14.0684i | 0.158284 | + | 0.487149i | ||||
\(835\) | 4.40114i | 0.152308i | ||||||||
\(836\) | −28.2758 | − | 8.04472i | −0.977939 | − | 0.278232i | ||||
\(837\) | 41.2117 | 1.42448 | ||||||||
\(838\) | −2.34144 | − | 7.20622i | −0.0808838 | − | 0.248935i | ||||
\(839\) | −1.03777 | + | 1.42836i | −0.0358277 | + | 0.0493125i | −0.826555 | − | 0.562856i | \(-0.809703\pi\) |
0.790727 | + | 0.612168i | \(0.209703\pi\) | |||||||
\(840\) | −1.24974 | − | 8.55235i | −0.0431202 | − | 0.295084i | ||||
\(841\) | 7.52094 | − | 23.1471i | 0.259343 | − | 0.798175i | ||||
\(842\) | 2.89204 | + | 0.939680i | 0.0996662 | + | 0.0323835i | ||||
\(843\) | −51.5461 | + | 37.4505i | −1.77534 | + | 1.28986i | ||||
\(844\) | 18.2242 | − | 25.0834i | 0.627302 | − | 0.863407i | ||||
\(845\) | 4.30106 | − | 1.39750i | 0.147961 | − | 0.0480754i | ||||
\(846\) | 26.4111 | 0.908033 | ||||||||
\(847\) | 26.6997 | + | 11.5813i | 0.917412 | + | 0.397938i | ||||
\(848\) | 15.5938 | 0.535493 | ||||||||
\(849\) | 38.0090 | − | 12.3499i | 1.30447 | − | 0.423847i | ||||
\(850\) | 1.56948 | − | 2.16020i | 0.0538326 | − | 0.0740942i | ||||
\(851\) | −23.1064 | + | 16.7878i | −0.792076 | + | 0.575477i | ||||
\(852\) | −25.4894 | − | 8.28200i | −0.873251 | − | 0.283736i | ||||
\(853\) | −9.93369 | + | 30.5727i | −0.340123 | + | 1.04679i | 0.624020 | + | 0.781408i | \(0.285498\pi\) |
−0.964143 | + | 0.265383i | \(0.914502\pi\) | |||||||
\(854\) | −1.67503 | − | 11.4628i | −0.0573184 | − | 0.392247i | ||||
\(855\) | 9.50556 | − | 13.0833i | 0.325083 | − | 0.447439i | ||||
\(856\) | −4.67454 | − | 14.3868i | −0.159773 | − | 0.491730i | ||||
\(857\) | 16.6829 | 0.569876 | 0.284938 | − | 0.958546i | \(-0.408027\pi\) | ||||
0.284938 | + | 0.958546i | \(0.408027\pi\) | |||||||
\(858\) | 10.8215 | + | 3.07881i | 0.369439 | + | 0.105109i | ||||
\(859\) | − | 33.8229i | − | 1.15402i | −0.816736 | − | 0.577011i | \(-0.804219\pi\) | ||
0.816736 | − | 0.577011i | \(-0.195781\pi\) | |||||||
\(860\) | 0.563062 | + | 1.73293i | 0.0192003 | + | 0.0590923i | ||||
\(861\) | 80.3220 | − | 39.7215i | 2.73737 | − | 1.35370i | ||||
\(862\) | −2.94704 | + | 2.14115i | −0.100376 | + | 0.0729277i | ||||
\(863\) | 14.0042 | − | 43.1004i | 0.476707 | − | 1.46715i | −0.366934 | − | 0.930247i | \(-0.619593\pi\) |
0.843641 | − | 0.536907i | \(-0.180407\pi\) | |||||||
\(864\) | 10.3097 | − | 31.7299i | 0.350742 | − | 1.07947i | ||||
\(865\) | 2.89348 | + | 3.98254i | 0.0983814 | + | 0.135410i | ||||
\(866\) | 4.13629 | + | 3.00519i | 0.140557 | + | 0.102120i | ||||
\(867\) | −42.9717 | + | 13.9623i | −1.45939 | + | 0.474186i | ||||
\(868\) | −13.3947 | + | 25.5280i | −0.454647 | + | 0.866477i | ||||
\(869\) | −3.94608 | + | 0.145971i | −0.133862 | + | 0.00495171i | ||||
\(870\) | −1.88229 | −0.0638157 | ||||||||
\(871\) | 4.68341 | + | 14.4141i | 0.158691 | + | 0.488402i | ||||
\(872\) | −20.2623 | − | 14.7214i | −0.686169 | − | 0.498531i | ||||
\(873\) | 18.1171 | + | 24.9361i | 0.613172 | + | 0.843959i | ||||
\(874\) | −9.34875 | − | 3.03759i | −0.316226 | − | 0.102748i | ||||
\(875\) | −10.7249 | − | 10.9850i | −0.362568 | − | 0.371360i | ||||
\(876\) | 7.38725 | + | 10.1677i | 0.249592 | + | 0.343534i | ||||
\(877\) | −25.0885 | + | 34.5313i | −0.847178 | + | 1.16604i | 0.137300 | + | 0.990530i | \(0.456158\pi\) |
−0.984478 | + | 0.175510i | \(0.943842\pi\) | |||||||
\(878\) | −4.09980 | + | 1.33211i | −0.138362 | + | 0.0449564i | ||||
\(879\) | − | 20.4820i | − | 0.690842i | ||||||
\(880\) | 4.00193 | − | 3.14000i | 0.134905 | − | 0.105849i | ||||
\(881\) | 21.4936i | 0.724139i | 0.932151 | + | 0.362070i | \(0.117930\pi\) | ||||
−0.932151 | + | 0.362070i | \(0.882070\pi\) | |||||||
\(882\) | −14.8078 | − | 11.3102i | −0.498603 | − | 0.380833i | ||||
\(883\) | −11.9795 | − | 8.70360i | −0.403141 | − | 0.292899i | 0.367678 | − | 0.929953i | \(-0.380153\pi\) |
−0.770819 | + | 0.637054i | \(0.780153\pi\) | |||||||
\(884\) | −3.79269 | + | 2.75555i | −0.127562 | + | 0.0926791i | ||||
\(885\) | 7.75529 | + | 2.51985i | 0.260691 | + | 0.0847038i | ||||
\(886\) | 4.69315 | + | 1.52490i | 0.157669 | + | 0.0512299i | ||||
\(887\) | 7.47044 | − | 5.42760i | 0.250833 | − | 0.182241i | −0.455263 | − | 0.890357i | \(-0.650455\pi\) |
0.706096 | + | 0.708116i | \(0.250455\pi\) | |||||||
\(888\) | −32.5291 | − | 23.6338i | −1.09161 | − | 0.793098i | ||||
\(889\) | −24.6918 | − | 4.21457i | −0.828135 | − | 0.141352i | ||||
\(890\) | − | 3.63132i | − | 0.121722i | ||||||
\(891\) | −9.80573 | + | 3.59197i | −0.328504 | + | 0.120336i | ||||
\(892\) | 2.59576i | 0.0869124i | ||||||||
\(893\) | −47.8714 | + | 15.5544i | −1.60196 | + | 0.520507i | ||||
\(894\) | 3.90625 | − | 5.37649i | 0.130644 | − | 0.179817i | ||||
\(895\) | −2.20438 | − | 3.03407i | −0.0736844 | − | 0.101418i | ||||
\(896\) | 21.0379 | + | 21.5480i | 0.702826 | + | 0.719869i | ||||
\(897\) | −24.7324 | − | 8.03604i | −0.825790 | − | 0.268316i | ||||
\(898\) | −4.58615 | − | 6.31230i | −0.153042 | − | 0.210644i | ||||
\(899\) | 10.8932 | + | 7.91440i | 0.363310 | + | 0.263960i | ||||
\(900\) | −13.2570 | − | 40.8010i | −0.441902 | − | 1.36003i | ||||
\(901\) | −7.01077 | −0.233563 | ||||||||
\(902\) | −16.2790 | − | 10.9314i | −0.542030 | − | 0.363976i | ||||
\(903\) | 11.6868 | + | 6.13217i | 0.388914 | + | 0.204066i | ||||
\(904\) | −1.80352 | + | 0.586000i | −0.0599843 | + | 0.0194901i | ||||
\(905\) | −9.62551 | − | 6.99334i | −0.319963 | − | 0.232466i | ||||
\(906\) | −11.1861 | − | 15.3964i | −0.371634 | − | 0.511511i | ||||
\(907\) | 0.311594 | − | 0.958987i | 0.0103463 | − | 0.0318426i | −0.945750 | − | 0.324895i | \(-0.894671\pi\) |
0.956096 | + | 0.293052i | \(0.0946710\pi\) | |||||||
\(908\) | 12.9501 | − | 39.8564i | 0.429766 | − | 1.32268i | ||||
\(909\) | 61.8707 | − | 44.9517i | 2.05212 | − | 1.49095i | ||||
\(910\) | −0.831743 | − | 1.68189i | −0.0275720 | − | 0.0557542i | ||||
\(911\) | 8.06560 | + | 24.8234i | 0.267225 | + | 0.822434i | 0.991172 | + | 0.132579i | \(0.0423259\pi\) |
−0.723947 | + | 0.689855i | \(0.757674\pi\) | |||||||
\(912\) | 37.2176i | 1.23240i | ||||||||
\(913\) | −14.6171 | + | 21.7677i | −0.483755 | + | 0.720406i | ||||
\(914\) | 13.7207 | 0.453840 | ||||||||
\(915\) | 4.66673 | + | 14.3627i | 0.154277 | + | 0.474816i | ||||
\(916\) | 0.374598 | − | 0.515590i | 0.0123771 | − | 0.0170356i | ||||
\(917\) | 30.3142 | − | 4.42977i | 1.00106 | − | 0.146284i | ||||
\(918\) | −1.17579 | + | 3.61872i | −0.0388069 | + | 0.119435i | ||||
\(919\) | −45.0574 | − | 14.6400i | −1.48631 | − | 0.482930i | −0.550316 | − | 0.834956i | \(-0.685493\pi\) |
−0.935990 | + | 0.352026i | \(0.885493\pi\) | |||||||
\(920\) | 3.53679 | − | 2.56963i | 0.116604 | − | 0.0847181i | ||||
\(921\) | −31.7754 | + | 43.7350i | −1.04703 | + | 1.44112i | ||||
\(922\) | 16.2740 | − | 5.28774i | 0.535955 | − | 0.174142i | ||||
\(923\) | −12.4780 | −0.410717 | ||||||||
\(924\) | 5.81540 | − | 43.7718i | 0.191312 | − | 1.43999i | ||||
\(925\) | −34.3664 | −1.12996 | ||||||||
\(926\) | 9.22341 | − | 2.99687i | 0.303100 | − | 0.0984832i | ||||
\(927\) | −17.4833 | + | 24.0637i | −0.574227 | + | 0.790356i | ||||
\(928\) | 8.81858 | − | 6.40707i | 0.289484 | − | 0.210322i | ||||
\(929\) | −20.7839 | − | 6.75309i | −0.681897 | − | 0.221562i | −0.0524710 | − | 0.998622i | \(-0.516710\pi\) |
−0.629426 | + | 0.777061i | \(0.716710\pi\) | |||||||
\(930\) | −1.68004 | + | 5.17065i | −0.0550908 | + | 0.169552i | ||||
\(931\) | 33.5007 | + | 11.7795i | 1.09794 | + | 0.386056i | ||||
\(932\) | 2.71588 | − | 3.73809i | 0.0889617 | − | 0.122445i | ||||
\(933\) | 3.19250 | + | 9.82552i | 0.104518 | + | 0.321673i | ||||
\(934\) | 12.1311 | 0.396942 | ||||||||
\(935\) | −1.79922 | + | 1.41170i | −0.0588407 | + | 0.0461677i | ||||
\(936\) | − | 23.3688i | − | 0.763833i | ||||||
\(937\) | 6.57715 | + | 20.2424i | 0.214866 | + | 0.661289i | 0.999163 | + | 0.0409041i | \(0.0130238\pi\) |
−0.784297 | + | 0.620385i | \(0.786976\pi\) | |||||||
\(938\) | −7.71325 | + | 3.81442i | −0.251846 | + | 0.124545i | ||||
\(939\) | −61.4656 | + | 44.6574i | −2.00585 | + | 1.45734i | ||||
\(940\) | 3.22550 | − | 9.92707i | 0.105204 | − | 0.323785i | ||||
\(941\) | 0.750998 | − | 2.31133i | 0.0244818 | − | 0.0753473i | −0.938069 | − | 0.346448i | \(-0.887388\pi\) |
0.962551 | + | 0.271101i | \(0.0873877\pi\) | |||||||
\(942\) | 2.63074 | + | 3.62090i | 0.0857140 | + | 0.117975i | ||||
\(943\) | 36.6672 | + | 26.6402i | 1.19405 | + | 0.867526i | ||||
\(944\) | −11.3926 | + | 3.70169i | −0.370798 | + | 0.120480i | ||||
\(945\) | 9.32173 | + | 4.89117i | 0.303236 | + | 0.159110i | ||||
\(946\) | −0.106762 | − | 2.88613i | −0.00347112 | − | 0.0938361i | ||||
\(947\) | 2.50040 | 0.0812520 | 0.0406260 | − | 0.999174i | \(-0.487065\pi\) | ||||
0.0406260 | + | 0.999174i | \(0.487065\pi\) | |||||||
\(948\) | 1.85139 | + | 5.69799i | 0.0601303 | + | 0.185062i | ||||
\(949\) | 4.73383 | + | 3.43933i | 0.153667 | + | 0.111645i | ||||
\(950\) | −6.95225 | − | 9.56896i | −0.225561 | − | 0.310458i | ||||
\(951\) | 17.4333 | + | 5.66441i | 0.565312 | + | 0.183681i | ||||
\(952\) | −3.98780 | − | 4.08450i | −0.129245 | − | 0.132379i | ||||
\(953\) | −13.5195 | − | 18.6079i | −0.437938 | − | 0.602770i | 0.531814 | − | 0.846861i | \(-0.321510\pi\) |
−0.969752 | + | 0.244091i | \(0.921510\pi\) | |||||||
\(954\) | 9.57794 | − | 13.1829i | 0.310097 | − | 0.426812i | ||||
\(955\) | −0.354993 | + | 0.115344i | −0.0114873 | + | 0.00373245i | ||||
\(956\) | − | 30.7602i | − | 0.994856i | ||||||
\(957\) | −19.8365 | − | 5.64366i | −0.641223 | − | 0.182434i | ||||
\(958\) | 19.6000i | 0.633246i | ||||||||
\(959\) | 4.39780 | − | 25.7653i | 0.142013 | − | 0.832004i | ||||
\(960\) | −3.58636 | − | 2.60564i | −0.115749 | − | 0.0840967i | ||||
\(961\) | 6.38403 | − | 4.63827i | 0.205937 | − | 0.149622i | ||||
\(962\) | −8.30143 | − | 2.69730i | −0.267649 | − | 0.0869643i | ||||
\(963\) | 40.4321 | + | 13.1372i | 1.30290 | + | 0.423339i | ||||
\(964\) | 12.1015 | − | 8.79227i | 0.389764 | − | 0.283180i | ||||
\(965\) | −6.05584 | − | 4.39983i | −0.194944 | − | 0.141635i | ||||
\(966\) | 2.48422 | − | 14.5542i | 0.0799284 | − | 0.468274i | ||||
\(967\) | − | 38.6426i | − | 1.24266i | −0.783548 | − | 0.621331i | \(-0.786592\pi\) | ||
0.783548 | − | 0.621331i | \(-0.213408\pi\) | |||||||
\(968\) | −19.1821 | + | 7.84250i | −0.616535 | + | 0.252067i | ||||
\(969\) | − | 16.7326i | − | 0.537527i | ||||||
\(970\) | −1.67596 | + | 0.544553i | −0.0538119 | + | 0.0174845i | ||||
\(971\) | −32.4827 | + | 44.7086i | −1.04242 | + | 1.43477i | −0.147217 | + | 0.989104i | \(0.547032\pi\) |
−0.895202 | + | 0.445662i | \(0.852968\pi\) | |||||||
\(972\) | −11.0474 | − | 15.2054i | −0.354345 | − | 0.487714i | ||||
\(973\) | 19.3402 | − | 18.8823i | 0.620018 | − | 0.605339i | ||||
\(974\) | 0.398809 | + | 0.129581i | 0.0127787 | + | 0.00415204i | ||||
\(975\) | −18.3924 | − | 25.3149i | −0.589028 | − | 0.810727i | ||||
\(976\) | −17.9479 | − | 13.0399i | −0.574498 | − | 0.417397i | ||||
\(977\) | 16.6698 | + | 51.3043i | 0.533313 | + | 1.64137i | 0.747266 | + | 0.664525i | \(0.231366\pi\) |
−0.213953 | + | 0.976844i | \(0.568634\pi\) | |||||||
\(978\) | 2.96005 | 0.0946519 | ||||||||
\(979\) | 10.8878 | − | 38.2686i | 0.347974 | − | 1.22307i | ||||
\(980\) | −6.05954 | + | 4.18447i | −0.193565 | + | 0.133668i | ||||
\(981\) | 66.9423 | − | 21.7509i | 2.13730 | − | 0.694452i | ||||
\(982\) | −11.1406 | − | 8.09414i | −0.355512 | − | 0.258295i | ||||
\(983\) | −18.7764 | − | 25.8435i | −0.598875 | − | 0.824280i | 0.396730 | − | 0.917935i | \(-0.370145\pi\) |
−0.995605 | + | 0.0936552i | \(0.970145\pi\) | |||||||
\(984\) | −19.7171 | + | 60.6829i | −0.628557 | + | 1.93450i | ||||
\(985\) | 2.31177 | − | 7.11489i | 0.0736591 | − | 0.226699i | ||||
\(986\) | −1.00574 | + | 0.730711i | −0.0320292 | + | 0.0232706i | ||||
\(987\) | −33.5143 | − | 67.7703i | −1.06677 | − | 2.15715i | ||||
\(988\) | 6.41716 | + | 19.7500i | 0.204157 | + | 0.628331i | ||||
\(989\) | 6.67550i | 0.212269i | ||||||||
\(990\) | −0.196492 | − | 5.31185i | −0.00624493 | − | 0.168822i | ||||
\(991\) | 46.5004 | 1.47713 | 0.738567 | − | 0.674180i | \(-0.235503\pi\) | ||||
0.738567 | + | 0.674180i | \(0.235503\pi\) | |||||||
\(992\) | −9.72914 | − | 29.9432i | −0.308901 | − | 0.950698i | ||||
\(993\) | 15.9384 | − | 21.9374i | 0.505791 | − | 0.696162i | ||||
\(994\) | −1.02437 | − | 7.01004i | −0.0324909 | − | 0.222345i | ||||
\(995\) | −1.58497 | + | 4.87802i | −0.0502468 | + | 0.154644i | ||||
\(996\) | 37.8349 | + | 12.2933i | 1.19884 | + | 0.389528i | ||||
\(997\) | 44.4546 | − | 32.2982i | 1.40789 | − | 1.02289i | 0.414267 | − | 0.910155i | \(-0.364038\pi\) |
0.993625 | − | 0.112738i | \(-0.0359622\pi\) | |||||||
\(998\) | −5.88323 | + | 8.09758i | −0.186230 | + | 0.256324i | ||||
\(999\) | 46.5750 | − | 15.1331i | 1.47357 | − | 0.478791i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))