Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1008,2,Mod(193,1008)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1008, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 2, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1008.193");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1008 = 2^{4} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1008.t (of order \(3\), degree \(2\), 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: | \(8.04892052375\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 6.0.309123.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - 3x^{5} + 10x^{4} - 15x^{3} + 19x^{2} - 12x + 3 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 126) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 961.2 | ||
Root | \(0.500000 - 1.41036i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1008.961 |
Dual form | 1008.2.t.g.193.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/1008\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(577\) | \(757\) | \(785\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −0.619562 | − | 1.61745i | −0.357704 | − | 0.933835i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 1.76088 | 0.787488 | 0.393744 | − | 0.919220i | \(-0.371180\pi\) | ||||
0.393744 | + | 0.919220i | \(0.371180\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.85185 | − | 1.88962i | 0.699933 | − | 0.714209i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −2.23229 | + | 2.00422i | −0.744096 | + | 0.668073i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −6.12476 | −1.84669 | −0.923343 | − | 0.383977i | \(-0.874554\pi\) | ||||
−0.923343 | + | 0.383977i | \(0.874554\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.380438 | − | 0.658939i | −0.105515 | − | 0.182757i | 0.808434 | − | 0.588587i | \(-0.200316\pi\) |
−0.913948 | + | 0.405831i | \(0.866982\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −1.09097 | − | 2.84813i | −0.281688 | − | 0.735384i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −3.42107 | − | 5.92546i | −0.829731 | − | 1.43714i | −0.898250 | − | 0.439486i | \(-0.855161\pi\) |
0.0685191 | − | 0.997650i | \(-0.478173\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.971410 | + | 1.68253i | −0.222857 | + | 0.385999i | −0.955674 | − | 0.294426i | \(-0.904872\pi\) |
0.732818 | + | 0.680425i | \(0.238205\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −4.20370 | − | 1.82454i | −0.917322 | − | 0.398147i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 0.421067 | 0.0877985 | 0.0438992 | − | 0.999036i | \(-0.486022\pi\) | ||||
0.0438992 | + | 0.999036i | \(0.486022\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.89931 | −0.379863 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 4.62476 | + | 2.36887i | 0.890036 | + | 0.455890i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 0.732287 | − | 1.26836i | 0.135982 | − | 0.235528i | −0.789990 | − | 0.613120i | \(-0.789914\pi\) |
0.925972 | + | 0.377592i | \(0.123248\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.85185 | − | 6.67160i | 0.691812 | − | 1.19825i | −0.279431 | − | 0.960166i | \(-0.590146\pi\) |
0.971243 | − | 0.238088i | \(-0.0765208\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 3.79467 | + | 9.90650i | 0.660567 | + | 1.72450i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 3.26088 | − | 3.32738i | 0.551189 | − | 0.562431i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1.44282 | − | 2.49904i | 0.237198 | − | 0.410839i | −0.722711 | − | 0.691150i | \(-0.757104\pi\) |
0.959909 | + | 0.280311i | \(0.0904376\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −0.830095 | + | 1.02359i | −0.132922 | + | 0.163906i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −3.47141 | − | 6.01266i | −0.542143 | − | 0.939020i | −0.998781 | − | 0.0493667i | \(-0.984280\pi\) |
0.456638 | − | 0.889653i | \(-0.349054\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −4.33009 | + | 7.49994i | −0.660333 | + | 1.14373i | 0.320195 | + | 0.947352i | \(0.396252\pi\) |
−0.980528 | + | 0.196379i | \(0.937082\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −3.93078 | + | 3.52918i | −0.585966 | + | 0.526100i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 0.830095 | + | 1.43777i | 0.121082 | + | 0.209720i | 0.920195 | − | 0.391461i | \(-0.128030\pi\) |
−0.799113 | + | 0.601181i | \(0.794697\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.141315 | − | 6.99857i | −0.0201879 | − | 0.999796i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −7.46457 | + | 9.20459i | −1.04525 | + | 1.28890i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −0.112725 | − | 0.195246i | −0.0154840 | − | 0.0268190i | 0.858180 | − | 0.513350i | \(-0.171596\pi\) |
−0.873664 | + | 0.486531i | \(0.838262\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −10.7850 | −1.45424 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 3.32326 | + | 0.528775i | 0.440176 | + | 0.0700379i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 0.993163 | − | 1.72021i | 0.129299 | − | 0.223952i | −0.794106 | − | 0.607779i | \(-0.792061\pi\) |
0.923405 | + | 0.383827i | \(0.125394\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 5.17511 | + | 8.96355i | 0.662605 | + | 1.14766i | 0.979929 | + | 0.199348i | \(0.0638823\pi\) |
−0.317324 | + | 0.948317i | \(0.602784\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −0.346647 | + | 7.92968i | −0.0436734 | + | 0.999046i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −0.669905 | − | 1.16031i | −0.0830915 | − | 0.143919i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 3.39248 | − | 5.87594i | 0.414457 | − | 0.717861i | −0.580914 | − | 0.813965i | \(-0.697305\pi\) |
0.995371 | + | 0.0961042i | \(0.0306382\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −0.260877 | − | 0.681054i | −0.0314059 | − | 0.0819893i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −10.7850 | −1.27994 | −0.639969 | − | 0.768401i | \(-0.721053\pi\) | ||||
−0.639969 | + | 0.768401i | \(0.721053\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 0.153353 | + | 0.265616i | 0.0179487 | + | 0.0310880i | 0.874860 | − | 0.484375i | \(-0.160953\pi\) |
−0.856912 | + | 0.515463i | \(0.827620\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 1.17674 | + | 3.07204i | 0.135878 | + | 0.354729i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −11.3421 | + | 11.5735i | −1.29256 | + | 1.31892i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −6.72257 | − | 11.6438i | −0.756348 | − | 1.31003i | −0.944701 | − | 0.327932i | \(-0.893648\pi\) |
0.188353 | − | 0.982101i | \(-0.439685\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0.966208 | − | 8.94799i | 0.107356 | − | 0.994221i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 1.56238 | − | 2.70612i | 0.171494 | − | 0.297036i | −0.767449 | − | 0.641110i | \(-0.778474\pi\) |
0.938942 | + | 0.344075i | \(0.111807\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −6.02408 | − | 10.4340i | −0.653403 | − | 1.13173i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −2.50520 | − | 0.398611i | −0.268586 | − | 0.0427356i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 1.30150 | − | 2.25427i | 0.137959 | − | 0.238952i | −0.788765 | − | 0.614695i | \(-0.789279\pi\) |
0.926724 | + | 0.375743i | \(0.122612\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −1.94966 | − | 0.501371i | −0.204380 | − | 0.0525580i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −13.1774 | − | 2.09671i | −1.36644 | − | 0.217418i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −1.71053 | + | 2.96273i | −0.175497 | + | 0.303970i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −1.81806 | + | 3.14897i | −0.184596 | + | 0.319729i | −0.943440 | − | 0.331543i | \(-0.892431\pi\) |
0.758845 | + | 0.651272i | \(0.225764\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 13.6722 | − | 12.2754i | 1.37411 | − | 1.23372i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −8.01040 | −0.797065 | −0.398532 | − | 0.917154i | \(-0.630480\pi\) | ||||
−0.398532 | + | 0.917154i | \(0.630480\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 6.82846 | 0.672828 | 0.336414 | − | 0.941714i | \(-0.390786\pi\) | ||||
0.336414 | + | 0.941714i | \(0.390786\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −7.40219 | − | 3.21278i | −0.722380 | − | 0.313536i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −1.77292 | + | 3.07078i | −0.171394 | + | 0.296863i | −0.938908 | − | 0.344170i | \(-0.888160\pi\) |
0.767513 | + | 0.641033i | \(0.221494\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 0.351848 | + | 0.609419i | 0.0337010 | + | 0.0583718i | 0.882384 | − | 0.470530i | \(-0.155937\pi\) |
−0.848683 | + | 0.528902i | \(0.822604\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −4.93598 | − | 0.785381i | −0.468503 | − | 0.0745451i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 4.25116 | + | 7.36323i | 0.399916 | + | 0.692674i | 0.993715 | − | 0.111939i | \(-0.0357061\pi\) |
−0.593799 | + | 0.804613i | \(0.702373\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.741446 | 0.0691402 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 2.16991 | + | 0.708458i | 0.200608 | + | 0.0654970i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −17.5322 | − | 4.50855i | −1.60717 | − | 0.413298i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 26.5127 | 2.41025 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −7.57442 | + | 9.34004i | −0.682962 | + | 0.842163i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −12.1488 | −1.08663 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 18.9532 | 1.68183 | 0.840913 | − | 0.541170i | \(-0.182018\pi\) | ||||
0.840913 | + | 0.541170i | \(0.182018\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 14.8135 | + | 2.35703i | 1.30426 | + | 0.207525i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 7.29303 | 0.637195 | 0.318598 | − | 0.947890i | \(-0.396788\pi\) | ||||
0.318598 | + | 0.947890i | \(0.396788\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 1.38044 | + | 4.95139i | 0.119699 | + | 0.429340i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 8.14364 | + | 4.17129i | 0.700893 | + | 0.359008i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −8.18194 | −0.699031 | −0.349515 | − | 0.936931i | \(-0.613654\pi\) | ||||
−0.349515 | + | 0.936931i | \(0.613654\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 6.23229 | + | 10.7946i | 0.528616 | + | 0.915589i | 0.999443 | + | 0.0333640i | \(0.0106220\pi\) |
−0.470828 | + | 0.882225i | \(0.656045\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 1.81122 | − | 2.23342i | 0.152532 | − | 0.188088i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 2.33009 | + | 4.03584i | 0.194852 | + | 0.337494i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 1.28947 | − | 2.23342i | 0.107084 | − | 0.185476i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −11.2323 | + | 4.56462i | −0.926423 | + | 0.376483i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 8.82846 | 0.723256 | 0.361628 | − | 0.932323i | \(-0.382221\pi\) | ||||
0.361628 | + | 0.932323i | \(0.382221\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 14.9863 | 1.21957 | 0.609785 | − | 0.792567i | \(-0.291256\pi\) | ||||
0.609785 | + | 0.792567i | \(0.291256\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 19.5127 | + | 6.37076i | 1.57751 | + | 0.515045i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 6.78263 | − | 11.7479i | 0.544794 | − | 0.943611i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −9.49028 | + | 16.4377i | −0.757407 | + | 1.31187i | 0.186761 | + | 0.982405i | \(0.440201\pi\) |
−0.944169 | + | 0.329462i | \(0.893132\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −0.245960 | + | 0.303294i | −0.0195059 | + | 0.0240528i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 0.779752 | − | 0.795655i | 0.0614530 | − | 0.0627064i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 7.51887 | − | 13.0231i | 0.588924 | − | 1.02005i | −0.405450 | − | 0.914117i | \(-0.632885\pi\) |
0.994374 | − | 0.105929i | \(-0.0337815\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 6.68194 | + | 17.4441i | 0.520189 | + | 1.35802i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −0.572097 | − | 0.990901i | −0.0442702 | − | 0.0766782i | 0.843041 | − | 0.537849i | \(-0.180763\pi\) |
−0.887311 | + | 0.461171i | \(0.847430\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 6.21053 | − | 10.7570i | 0.477733 | − | 0.827458i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −1.20370 | − | 5.70281i | −0.0920490 | − | 0.436105i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −0.248838 | − | 0.431001i | −0.0189188 | − | 0.0327684i | 0.856411 | − | 0.516295i | \(-0.172689\pi\) |
−0.875330 | + | 0.483526i | \(0.839356\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −3.51724 | + | 3.58898i | −0.265878 | + | 0.271301i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −3.39768 | − | 0.540616i | −0.255385 | − | 0.0406352i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −4.41423 | − | 7.64567i | −0.329935 | − | 0.571464i | 0.652564 | − | 0.757734i | \(-0.273694\pi\) |
−0.982499 | + | 0.186270i | \(0.940360\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 1.32941 | 0.0988140 | 0.0494070 | − | 0.998779i | \(-0.484267\pi\) | ||||
0.0494070 | + | 0.998779i | \(0.484267\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 11.2918 | − | 13.9239i | 0.834713 | − | 1.02929i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 2.54063 | − | 4.40050i | 0.186791 | − | 0.323531i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 20.9532 | + | 36.2920i | 1.53225 | + | 2.65394i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 13.0406 | − | 4.35224i | 0.948566 | − | 0.316579i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −8.08414 | − | 14.0021i | −0.584947 | − | 1.01316i | −0.994882 | − | 0.101044i | \(-0.967782\pi\) |
0.409934 | − | 0.912115i | \(-0.365552\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 7.08414 | − | 12.2701i | 0.509927 | − | 0.883220i | −0.490007 | − | 0.871719i | \(-0.663006\pi\) |
0.999934 | − | 0.0115011i | \(-0.00366101\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −1.46169 | + | 1.80242i | −0.104674 | + | 0.129074i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 15.8421 | 1.12871 | 0.564353 | − | 0.825534i | \(-0.309126\pi\) | ||||
0.564353 | + | 0.825534i | \(0.309126\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 4.47141 | + | 7.74471i | 0.316970 | + | 0.549008i | 0.979854 | − | 0.199714i | \(-0.0640013\pi\) |
−0.662884 | + | 0.748722i | \(0.730668\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −11.6059 | − | 1.84665i | −0.818616 | − | 0.130253i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −1.04063 | − | 3.73255i | −0.0730378 | − | 0.261974i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −6.11273 | − | 10.5876i | −0.426931 | − | 0.739467i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −0.939941 | + | 0.843910i | −0.0653304 | + | 0.0586558i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 5.94966 | − | 10.3051i | 0.411546 | − | 0.712819i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −11.3856 | − | 19.7205i | −0.783820 | − | 1.35762i | −0.929702 | − | 0.368314i | \(-0.879935\pi\) |
0.145882 | − | 0.989302i | \(-0.453398\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 6.68194 | + | 17.4441i | 0.457839 | + | 1.19525i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −7.62476 | + | 13.2065i | −0.520005 | + | 0.900674i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −5.47373 | − | 19.6333i | −0.371581 | − | 1.33280i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 0.334608 | − | 0.412607i | 0.0226107 | − | 0.0278814i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −2.60301 | + | 4.50855i | −0.175097 | + | 0.303278i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 6.44282 | − | 11.1593i | 0.431443 | − | 0.747281i | −0.565555 | − | 0.824711i | \(-0.691338\pi\) |
0.996998 | + | 0.0774293i | \(0.0246712\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 4.23981 | − | 3.80664i | 0.282654 | − | 0.253776i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −21.9967 | −1.45997 | −0.729987 | − | 0.683461i | \(-0.760474\pi\) | ||||
−0.729987 | + | 0.683461i | \(0.760474\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −3.79863 | −0.251020 | −0.125510 | − | 0.992092i | \(-0.540057\pi\) | ||||
−0.125510 | + | 0.992092i | \(0.540057\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 25.7466 | + | 11.1749i | 1.69401 | + | 0.735251i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −3.33530 | + | 5.77690i | −0.218503 | + | 0.378458i | −0.954350 | − | 0.298689i | \(-0.903451\pi\) |
0.735848 | + | 0.677147i | \(0.236784\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 1.46169 | + | 2.53173i | 0.0953505 | + | 0.165152i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −14.6683 | + | 18.0875i | −0.952807 | + | 1.17491i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 7.82038 | + | 13.5453i | 0.505858 | + | 0.876172i | 0.999977 | + | 0.00677786i | \(0.00215748\pi\) |
−0.494119 | + | 0.869394i | \(0.664509\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 21.4120 | 1.37927 | 0.689635 | − | 0.724157i | \(-0.257771\pi\) | ||||
0.689635 | + | 0.724157i | \(0.257771\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −15.0715 | + | 3.98104i | −0.966840 | + | 0.255384i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −0.248838 | − | 12.3236i | −0.0158977 | − | 0.787328i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 1.47825 | 0.0940586 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −5.34501 | − | 0.850463i | −0.338726 | − | 0.0538959i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 23.6030 | 1.48981 | 0.744904 | − | 0.667171i | \(-0.232495\pi\) | ||||
0.744904 | + | 0.667171i | \(0.232495\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −2.57893 | −0.162136 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −13.1442 | + | 16.2082i | −0.823121 | + | 1.01499i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 20.2599 | 1.26378 | 0.631890 | − | 0.775058i | \(-0.282279\pi\) | ||||
0.631890 | + | 0.775058i | \(0.282279\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −2.05034 | − | 7.35422i | −0.127402 | − | 0.456969i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0.907394 | + | 4.29900i | 0.0561663 | + | 0.266102i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 22.4887 | 1.38671 | 0.693355 | − | 0.720596i | \(-0.256132\pi\) | ||||
0.693355 | + | 0.720596i | \(0.256132\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −0.198495 | − | 0.343803i | −0.0121935 | − | 0.0211197i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −4.45254 | − | 0.708458i | −0.272491 | − | 0.0433569i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −12.6706 | − | 21.9461i | −0.772540 | − | 1.33808i | −0.936167 | − | 0.351556i | \(-0.885653\pi\) |
0.163627 | − | 0.986522i | \(-0.447681\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 6.87880 | − | 11.9144i | 0.417858 | − | 0.723751i | −0.577866 | − | 0.816132i | \(-0.696114\pi\) |
0.995724 | + | 0.0923810i | \(0.0294478\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0.396990 | + | 3.46410i | 0.0240269 | + | 0.209657i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 11.6328 | 0.701487 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −3.28263 | −0.197234 | −0.0986171 | − | 0.995125i | \(-0.531442\pi\) | ||||
−0.0986171 | + | 0.995125i | \(0.531442\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 4.77292 | + | 22.6129i | 0.285747 | + | 1.35380i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 0.634479 | − | 1.09895i | 0.0378498 | − | 0.0655578i | −0.846480 | − | 0.532421i | \(-0.821282\pi\) |
0.884330 | + | 0.466863i | \(0.154616\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −4.09617 | + | 7.09478i | −0.243492 | + | 0.421741i | −0.961707 | − | 0.274081i | \(-0.911626\pi\) |
0.718214 | + | 0.695822i | \(0.244960\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 5.85185 | + | 0.931107i | 0.346634 | + | 0.0551540i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −17.7902 | − | 4.57489i | −1.05012 | − | 0.270047i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −14.9074 | + | 25.8204i | −0.876906 | + | 1.51884i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 6.21969 | + | 0.989636i | 0.364605 | + | 0.0580135i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 7.72545 | + | 13.3809i | 0.451326 | + | 0.781719i | 0.998469 | − | 0.0553202i | \(-0.0176180\pi\) |
−0.547143 | + | 0.837039i | \(0.684285\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 1.74884 | − | 3.02908i | 0.101821 | − | 0.176360i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −28.3256 | − | 14.5088i | −1.64362 | − | 0.841886i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −0.160190 | − | 0.277457i | −0.00926402 | − | 0.0160458i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 6.15335 | + | 22.0710i | 0.354673 | + | 1.27215i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 4.96294 | + | 12.9564i | 0.285113 | + | 0.744327i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 9.11273 | + | 15.7837i | 0.521793 | + | 0.903772i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −4.89931 | −0.279619 | −0.139809 | − | 0.990178i | \(-0.544649\pi\) | ||||
−0.139809 | + | 0.990178i | \(0.544649\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −4.23065 | − | 11.0447i | −0.240673 | − | 0.628310i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −3.84501 | + | 6.65976i | −0.218031 | + | 0.377640i | −0.954206 | − | 0.299151i | \(-0.903297\pi\) |
0.736175 | + | 0.676791i | \(0.236630\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 0.861564 | + | 1.49227i | 0.0486985 | + | 0.0843482i | 0.889347 | − | 0.457233i | \(-0.151159\pi\) |
−0.840649 | + | 0.541581i | \(0.817826\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −0.610402 | + | 13.9632i | −0.0343923 | + | 0.786737i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −16.6014 | − | 28.7544i | −0.932426 | − | 1.61501i | −0.779161 | − | 0.626824i | \(-0.784354\pi\) |
−0.153266 | − | 0.988185i | \(-0.548979\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −4.48508 | + | 7.76839i | −0.251116 | + | 0.434946i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 6.06526 | + | 0.965064i | 0.338530 | + | 0.0538646i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 13.2930 | 0.739644 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.722572 | + | 1.25153i | 0.0400811 | + | 0.0694224i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 0.767713 | − | 0.946670i | 0.0424546 | − | 0.0523510i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 4.25404 | + | 1.09396i | 0.234533 | + | 0.0603121i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 1.44445 | + | 2.50187i | 0.0793944 | + | 0.137515i | 0.902989 | − | 0.429664i | \(-0.141368\pi\) |
−0.823594 | + | 0.567179i | \(0.808035\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 1.78783 | + | 8.47030i | 0.0979726 | + | 0.464169i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 5.97373 | − | 10.3468i | 0.326380 | − | 0.565307i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −4.36156 | − | 7.55445i | −0.237590 | − | 0.411517i | 0.722433 | − | 0.691441i | \(-0.243024\pi\) |
−0.960022 | + | 0.279924i | \(0.909691\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 9.27579 | − | 11.4380i | 0.503792 | − | 0.621228i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −23.5917 | + | 40.8620i | −1.27756 | + | 2.21280i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −13.4863 | − | 12.6933i | −0.728193 | − | 0.685372i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −0.459372 | − | 1.19925i | −0.0247317 | − | 0.0645656i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 4.84733 | − | 8.39583i | 0.260219 | − | 0.450712i | −0.706081 | − | 0.708131i | \(-0.749539\pi\) |
0.966300 | + | 0.257419i | \(0.0828720\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 14.1992 | − | 24.5937i | 0.760065 | − | 1.31647i | −0.182752 | − | 0.983159i | \(-0.558500\pi\) |
0.942817 | − | 0.333312i | \(-0.108166\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −0.198495 | − | 3.94865i | −0.0105949 | − | 0.210763i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −4.39372 | −0.233854 | −0.116927 | − | 0.993141i | \(-0.537304\pi\) | ||||
−0.116927 | + | 0.993141i | \(0.537304\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −18.9910 | −1.00794 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 3.56991 | + | 31.1507i | 0.188939 | + | 1.64867i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −16.0796 | + | 27.8507i | −0.848650 | + | 1.46990i | 0.0337633 | + | 0.999430i | \(0.489251\pi\) |
−0.882413 | + | 0.470475i | \(0.844083\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 7.61273 | + | 13.1856i | 0.400670 | + | 0.693980i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −16.4263 | − | 42.8830i | −0.862155 | − | 2.25077i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 0.270036 | + | 0.467717i | 0.0141343 | + | 0.0244814i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −34.6030 | −1.80626 | −0.903131 | − | 0.429365i | \(-0.858738\pi\) | ||||
−0.903131 | + | 0.429365i | \(0.858738\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 19.7999 | + | 6.46451i | 1.03074 | + | 0.336529i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −0.577690 | − | 0.148558i | −0.0299921 | − | 0.00771274i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 10.9759 | 0.568312 | 0.284156 | − | 0.958778i | \(-0.408287\pi\) | ||||
0.284156 | + | 0.958778i | \(0.408287\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 7.52696 | + | 19.6501i | 0.388690 | + | 1.01473i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −1.11436 | −0.0573925 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −33.9877 | −1.74583 | −0.872916 | − | 0.487871i | \(-0.837774\pi\) | ||||
−0.872916 | + | 0.487871i | \(0.837774\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −11.7427 | − | 30.6559i | −0.601596 | − | 1.57055i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 21.0241 | 1.07428 | 0.537140 | − | 0.843493i | \(-0.319505\pi\) | ||||
0.537140 | + | 0.843493i | \(0.319505\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −19.9721 | + | 20.3794i | −1.01787 | + | 1.03863i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −5.36552 | − | 25.4205i | −0.272745 | − | 1.29220i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 13.7382 | 0.696553 | 0.348277 | − | 0.937392i | \(-0.386767\pi\) | ||||
0.348277 | + | 0.937392i | \(0.386767\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −1.44050 | − | 2.49501i | −0.0728491 | − | 0.126178i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −4.51848 | − | 11.7961i | −0.227927 | − | 0.595035i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −11.8376 | − | 20.5034i | −0.595615 | − | 1.03164i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −3.57893 | + | 6.19889i | −0.179622 | + | 0.311114i | −0.941751 | − | 0.336311i | \(-0.890821\pi\) |
0.762129 | + | 0.647425i | \(0.224154\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 7.15335 | − | 5.30048i | 0.358116 | − | 0.265356i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −9.27936 | −0.463389 | −0.231695 | − | 0.972789i | \(-0.574427\pi\) | ||||
−0.231695 | + | 0.972789i | \(0.574427\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −5.86156 | −0.291985 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 1.70137 | − | 15.7563i | 0.0845419 | − | 0.782937i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −8.83693 | + | 15.3060i | −0.438030 | + | 0.758691i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −7.58414 | + | 13.1361i | −0.375011 | + | 0.649539i | −0.990329 | − | 0.138741i | \(-0.955695\pi\) |
0.615317 | + | 0.788279i | \(0.289028\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 5.06922 | + | 13.2339i | 0.250046 | + | 0.652779i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −1.41135 | − | 5.06227i | −0.0694481 | − | 0.249098i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 2.75116 | − | 4.76515i | 0.135049 | − | 0.233912i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 13.5985 | − | 16.7684i | 0.665921 | − | 0.821150i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 4.16827 | + | 7.21966i | 0.203633 | + | 0.352703i | 0.949696 | − | 0.313172i | \(-0.101392\pi\) |
−0.746063 | + | 0.665875i | \(0.768058\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −3.50232 | + | 6.06620i | −0.170693 | + | 0.295649i | −0.938662 | − | 0.344838i | \(-0.887934\pi\) |
0.767969 | + | 0.640486i | \(0.221267\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −4.73461 | − | 1.54581i | −0.230205 | − | 0.0751601i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 6.49768 | + | 11.2543i | 0.315184 | + | 0.545914i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 26.5212 | + | 6.82015i | 1.28345 | + | 0.330050i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 5.08414 | − | 6.26926i | 0.245464 | − | 0.302683i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 1.72545 | + | 2.98857i | 0.0831120 | + | 0.143954i | 0.904585 | − | 0.426293i | \(-0.140181\pi\) |
−0.821473 | + | 0.570247i | \(0.806847\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 28.2599 | 1.35809 | 0.679043 | − | 0.734099i | \(-0.262395\pi\) | ||||
0.679043 | + | 0.734099i | \(0.262395\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −4.41135 | − | 0.701905i | −0.211508 | − | 0.0336538i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −0.409028 | + | 0.708458i | −0.0195665 | + | 0.0338901i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −14.4480 | − | 25.0247i | −0.689566 | − | 1.19436i | −0.971978 | − | 0.235071i | \(-0.924468\pi\) |
0.282412 | − | 0.959293i | \(-0.408866\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 14.3421 | + | 15.3396i | 0.682959 | + | 0.730457i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −6.88044 | − | 11.9173i | −0.326899 | − | 0.566207i | 0.654995 | − | 0.755633i | \(-0.272671\pi\) |
−0.981895 | + | 0.189426i | \(0.939337\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 2.29179 | − | 3.96950i | 0.108641 | − | 0.188172i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −5.46978 | − | 14.2796i | −0.258711 | − | 0.675401i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −20.2003 | −0.953309 | −0.476655 | − | 0.879091i | \(-0.658151\pi\) | ||||
−0.476655 | + | 0.879091i | \(0.658151\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 21.2616 | + | 36.8261i | 1.00117 | + | 1.73407i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −9.28495 | − | 24.2396i | −0.436245 | − | 1.13888i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −3.43310 | − | 0.882853i | −0.160946 | − | 0.0413888i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −10.0149 | − | 17.3463i | −0.468478 | − | 0.811428i | 0.530873 | − | 0.847451i | \(-0.321864\pi\) |
−0.999351 | + | 0.0360237i | \(0.988531\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −1.78495 | − | 35.5079i | −0.0833145 | − | 1.65737i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 5.97661 | − | 10.3518i | 0.278359 | − | 0.482131i | −0.692618 | − | 0.721304i | \(-0.743543\pi\) |
0.970977 | + | 0.239173i | \(0.0768763\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −6.64527 | − | 11.5100i | −0.308832 | − | 0.534913i | 0.669275 | − | 0.743015i | \(-0.266605\pi\) |
−0.978107 | + | 0.208102i | \(0.933271\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −23.2038 | − | 3.69204i | −1.07605 | − | 0.171214i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 5.61505 | − | 9.72555i | 0.259833 | − | 0.450045i | −0.706364 | − | 0.707849i | \(-0.749666\pi\) |
0.966197 | + | 0.257804i | \(0.0829990\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −4.82094 | − | 17.2918i | −0.222610 | − | 0.798463i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 32.4669 | + | 5.16592i | 1.49600 | + | 0.238033i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 26.5208 | − | 45.9354i | 1.21943 | − | 2.11211i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 1.84501 | − | 3.19565i | 0.0846550 | − | 0.146627i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0.642950 | + | 0.209918i | 0.0294387 | + | 0.00961150i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 32.6271 | 1.49077 | 0.745385 | − | 0.666634i | \(-0.232266\pi\) | ||||
0.745385 | + | 0.666634i | \(0.232266\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −2.19562 | −0.100111 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −1.77004 | − | 0.768251i | −0.0805394 | − | 0.0349566i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −3.20137 | + | 5.54494i | −0.145367 | + | 0.251783i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −1.84897 | − | 3.20251i | −0.0837848 | − | 0.145120i | 0.821088 | − | 0.570802i | \(-0.193368\pi\) |
−0.904873 | + | 0.425682i | \(0.860034\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −25.7226 | − | 4.09280i | −1.16321 | − | 0.185083i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 18.7804 | + | 32.5287i | 0.847549 | + | 1.46800i | 0.883389 | + | 0.468641i | \(0.155256\pi\) |
−0.0358393 | + | 0.999358i | \(0.511410\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −10.0208 | −0.451314 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 24.0751 | − | 21.6154i | 1.08210 | − | 0.971541i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −19.9721 | + | 20.3794i | −0.895871 | + | 0.914143i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 31.7954 | 1.42336 | 0.711678 | − | 0.702506i | \(-0.247936\pi\) | ||||
0.711678 | + | 0.702506i | \(0.247936\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −1.24828 | + | 1.53926i | −0.0557692 | + | 0.0687692i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −30.8252 | −1.37443 | −0.687214 | − | 0.726455i | \(-0.741166\pi\) | ||||
−0.687214 | + | 0.726455i | \(0.741166\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −14.1053 | −0.627679 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −21.2466 | − | 3.38063i | −0.943597 | − | 0.150139i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 8.01616 | 0.355310 | 0.177655 | − | 0.984093i | \(-0.443149\pi\) | ||||
0.177655 | + | 0.984093i | \(0.443149\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0.785900 | + | 0.202101i | 0.0347662 | + | 0.00894042i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −8.47825 | + | 5.48016i | −0.374324 | + | 0.241955i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 12.0241 | 0.529844 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −5.08414 | − | 8.80598i | −0.223600 | − | 0.387287i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −0.542951 | + | 0.669515i | −0.0238329 | + | 0.0293885i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 14.8646 | + | 25.7462i | 0.651229 | + | 1.12796i | 0.982825 | + | 0.184540i | \(0.0590795\pi\) |
−0.331596 | + | 0.943421i | \(0.607587\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −13.4698 | + | 23.3303i | −0.588992 | + | 1.02016i | 0.405373 | + | 0.914152i | \(0.367142\pi\) |
−0.994365 | + | 0.106013i | \(0.966192\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 7.98414 | + | 3.46537i | 0.348456 | + | 0.151241i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −52.7097 | −2.29607 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −22.8227 | −0.992291 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 1.23065 | + | 5.83052i | 0.0534057 | + | 0.253023i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −2.64132 | + | 4.57489i | −0.114408 | + | 0.198161i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −3.12188 | + | 5.40726i | −0.134971 | + | 0.233776i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −9.63160 | + | 11.8768i | −0.415634 | + | 0.512520i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 0.865521 | + | 42.8646i | 0.0372806 | + | 1.84631i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 7.15568 | − | 12.3940i | 0.307647 | − | 0.532859i | −0.670201 | − | 0.742180i | \(-0.733792\pi\) |
0.977847 | + | 0.209321i | \(0.0671252\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −0.823649 | − | 2.15025i | −0.0353462 | − | 0.0922760i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 0.619562 | + | 1.07311i | 0.0265391 | + | 0.0459671i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −1.02463 | + | 1.77471i | −0.0438101 | + | 0.0758813i | −0.887099 | − | 0.461579i | \(-0.847283\pi\) |
0.843289 | + | 0.537461i | \(0.180616\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −29.5172 | − | 9.63716i | −1.25977 | − | 0.411304i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 1.42270 | + | 2.46419i | 0.0606091 | + | 0.104978i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −34.4516 | − | 8.85952i | −1.46503 | − | 0.376745i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −8.69166 | − | 1.38296i | −0.368940 | − | 0.0587033i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 8.84338 | + | 15.3172i | 0.374706 | + | 0.649010i | 0.990283 | − | 0.139067i | \(-0.0444103\pi\) |
−0.615577 | + | 0.788077i | \(0.711077\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 6.58934 | 0.278699 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 45.7187 | − | 56.3759i | 1.93025 | − | 2.38019i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 0.468531 | − | 0.811520i | 0.0197462 | − | 0.0342015i | −0.855983 | − | 0.517003i | \(-0.827048\pi\) |
0.875730 | + | 0.482802i | \(0.160381\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 7.48577 | + | 12.9657i | 0.314929 | + | 0.545473i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −15.1190 | − | 18.3961i | −0.634939 | − | 0.772563i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −11.7632 | − | 20.3745i | −0.493139 | − | 0.854142i | 0.506830 | − | 0.862046i | \(-0.330817\pi\) |
−0.999969 | + | 0.00790437i | \(0.997484\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −0.242002 | + | 0.419160i | −0.0101275 | + | 0.0175413i | −0.871045 | − | 0.491204i | \(-0.836557\pi\) |
0.860917 | + | 0.508745i | \(0.169890\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −17.6391 | + | 21.7509i | −0.736885 | + | 0.908655i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −0.799737 | −0.0333514 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −2.23065 | − | 3.86360i | −0.0928633 | − | 0.160844i | 0.815852 | − | 0.578261i | \(-0.196269\pi\) |
−0.908715 | + | 0.417417i | \(0.862935\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −24.2353 | − | 3.85616i | −1.00718 | − | 0.160257i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −2.22025 | − | 7.96364i | −0.0921114 | − | 0.330387i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0.690415 | + | 1.19583i | 0.0285941 | + | 0.0495264i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 3.82094 | + | 1.24751i | 0.157976 | + | 0.0515781i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −8.31518 | + | 14.4023i | −0.343204 | + | 0.594447i | −0.985026 | − | 0.172407i | \(-0.944846\pi\) |
0.641822 | + | 0.766854i | \(0.278179\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 7.48345 | + | 12.9617i | 0.308350 | + | 0.534078i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −9.81518 | − | 25.6239i | −0.403742 | − | 1.05402i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 20.7632 | − | 35.9629i | 0.852642 | − | 1.47682i | −0.0261726 | − | 0.999657i | \(-0.508332\pi\) |
0.878815 | − | 0.477163i | \(-0.158335\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −30.8720 | − | 7.93899i | −1.26563 | − | 0.325467i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 9.75636 | − | 12.0306i | 0.399301 | − | 0.492380i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 7.53831 | − | 13.0567i | 0.308007 | − | 0.533483i | −0.669919 | − | 0.742434i | \(-0.733671\pi\) |
0.977926 | + | 0.208950i | \(0.0670047\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −8.05555 | + | 13.9526i | −0.328593 | + | 0.569139i | −0.982233 | − | 0.187666i | \(-0.939908\pi\) |
0.653640 | + | 0.756805i | \(0.273241\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 4.20370 | + | 19.9161i | 0.171188 | + | 0.811044i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 46.6856 | 1.89804 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −19.5732 | −0.794451 | −0.397225 | − | 0.917721i | \(-0.630027\pi\) | ||||
−0.397225 | + | 0.917721i | \(0.630027\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −5.39248 | + | 3.99571i | −0.218514 | + | 0.161914i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 0.631600 | − | 1.09396i | 0.0255518 | − | 0.0442570i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −2.77579 | − | 4.80782i | −0.112113 | − | 0.194186i | 0.804509 | − | 0.593941i | \(-0.202429\pi\) |
−0.916622 | + | 0.399755i | \(0.869095\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −13.3376 | + | 16.4467i | −0.537825 | + | 0.663194i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 0.634479 | + | 1.09895i | 0.0255431 | + | 0.0442420i | 0.878514 | − | 0.477716i | \(-0.158535\pi\) |
−0.852971 | + | 0.521958i | \(0.825202\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −4.50232 | −0.180964 | −0.0904818 | − | 0.995898i | \(-0.528841\pi\) | ||||
−0.0904818 | + | 0.995898i | \(0.528841\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 1.94733 | + | 0.997454i | 0.0781438 | + | 0.0400264i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −1.84953 | − | 6.63392i | −0.0740997 | − | 0.265782i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −11.8960 | −0.475842 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −20.3542 | − | 3.23862i | −0.812867 | − | 0.129338i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −19.7439 | −0.787242 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 1.69905 | 0.0676381 | 0.0338191 | − | 0.999428i | \(-0.489233\pi\) | ||||
0.0338191 | + | 0.999428i | \(0.489233\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −24.8428 | + | 30.6338i | −0.987414 | + | 1.21758i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 33.3743 | 1.32442 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −4.55787 | + | 2.75564i | −0.180589 | + | 0.109183i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 24.0751 | − | 21.6154i | 0.952397 | − | 0.855093i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −0.948577 | −0.0374666 | −0.0187333 | − | 0.999825i | \(-0.505963\pi\) | ||||
−0.0187333 | + | 0.999825i | \(0.505963\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 9.84897 | + | 17.0589i | 0.388405 | + | 0.672738i | 0.992235 | − | 0.124375i | \(-0.0396927\pi\) |
−0.603830 | + | 0.797113i | \(0.706359\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 26.0848 | + | 4.15044i | 1.02709 | + | 0.163424i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −11.7271 | − | 20.3119i | −0.461039 | − | 0.798543i | 0.537974 | − | 0.842962i | \(-0.319190\pi\) |
−0.999013 | + | 0.0444181i | \(0.985857\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −6.08289 | + | 10.5359i | −0.238774 | + | 0.413569i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −28.3646 | + | 21.0175i | −1.11170 | + | 0.823742i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 22.7907 | 0.891869 | 0.445935 | − | 0.895065i | \(-0.352871\pi\) | ||||
0.445935 | + | 0.895065i | \(0.352871\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 12.8421 | 0.501784 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −0.874681 | − | 0.285577i | −0.0341246 | − | 0.0111414i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 13.2398 | − | 22.9320i | 0.515750 | − | 0.893305i | −0.484083 | − | 0.875022i | \(-0.660847\pi\) |
0.999833 | − | 0.0182828i | \(-0.00581993\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 13.3691 | − | 23.1559i | 0.519997 | − | 0.900662i | −0.479732 | − | 0.877415i | \(-0.659266\pi\) |
0.999730 | − | 0.0232469i | \(-0.00740038\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 8.90507 | + | 1.41692i | 0.345844 | + | 0.0550284i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 2.43078 | + | 8.71878i | 0.0942617 | + | 0.338100i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0.308342 | − | 0.534063i | 0.0119390 | − | 0.0206790i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −22.0413 | − | 3.50707i | −0.852167 | − | 0.135591i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −31.6963 | − | 54.8996i | −1.22362 | − | 2.11938i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −10.3856 | + | 17.9885i | −0.400337 | + | 0.693404i | −0.993766 | − | 0.111482i | \(-0.964440\pi\) |
0.593429 | + | 0.804886i | \(0.297774\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −8.78387 | − | 4.49923i | −0.338091 | − | 0.173176i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 10.3490 | + | 17.9249i | 0.397743 | + | 0.688911i | 0.993447 | − | 0.114293i | \(-0.0364602\pi\) |
−0.595704 | + | 0.803204i | \(0.703127\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 2.58358 | + | 9.26684i | 0.0991487 | + | 0.355629i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 13.6283 | + | 35.5786i | 0.522239 | + | 1.36338i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −14.2918 | − | 24.7541i | −0.546860 | − | 0.947190i | −0.998487 | − | 0.0549828i | \(-0.982490\pi\) |
0.451627 | − | 0.892207i | \(-0.350844\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −14.4074 | −0.550478 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 2.35348 | + | 6.14409i | 0.0897910 | + | 0.234412i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −0.0857699 | + | 0.148558i | −0.00326757 | + | 0.00565960i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −3.34897 | − | 5.80059i | −0.127401 | − | 0.220665i | 0.795268 | − | 0.606258i | \(-0.207330\pi\) |
−0.922669 | + | 0.385593i | \(0.873997\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 2.12313 | − | 48.5674i | 0.0806510 | − | 1.84492i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 10.9743 | + | 19.0080i | 0.416278 | + | 0.721016i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −23.7518 | + | 41.1394i | −0.899665 | + | 1.55827i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 11.4103 | + | 1.81553i | 0.431576 | + | 0.0686695i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −25.1442 | −0.949683 | −0.474842 | − | 0.880071i | \(-0.657495\pi\) | ||||
−0.474842 | + | 0.880071i | \(0.657495\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 2.80314 | + | 4.85518i | 0.105722 | + | 0.183117i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 3.18934 | − | 3.93278i | 0.120117 | − | 0.148117i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −14.8341 | + | 15.1366i | −0.557892 | + | 0.569271i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −4.43310 | − | 7.67836i | −0.166489 | − | 0.288367i | 0.770694 | − | 0.637205i | \(-0.219910\pi\) |
−0.937183 | + | 0.348838i | \(0.886576\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 38.3435 | + | 12.5189i | 1.43799 | + | 0.469494i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 1.62188 | − | 2.80919i | 0.0607401 | − | 0.105205i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 4.10301 | + | 7.10662i | 0.153444 | + | 0.265773i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 17.0636 | − | 21.0412i | 0.637253 | − | 0.785799i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −11.8015 | + | 20.4408i | −0.440122 | + | 0.762313i | −0.997698 | − | 0.0678123i | \(-0.978398\pi\) |
0.557576 | + | 0.830126i | \(0.311731\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 12.6453 | − | 12.9032i | 0.470935 | − | 0.480540i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −13.2661 | − | 34.6329i | −0.493371 | − | 1.28801i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −1.39084 | + | 2.40901i | −0.0516546 | + | 0.0894683i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −3.25692 | + | 5.64115i | −0.120792 | + | 0.209219i | −0.920080 | − | 0.391730i | \(-0.871877\pi\) |
0.799288 | + | 0.600948i | \(0.205210\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 15.7769 | + | 21.9110i | 0.584329 | + | 0.811517i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 59.2542 | 2.19159 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −23.1981 | −0.856842 | −0.428421 | − | 0.903579i | \(-0.640930\pi\) | ||||
−0.428421 | + | 0.903579i | \(0.640930\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −19.7787 | + | 8.03773i | −0.729547 | + | 0.296476i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −20.7781 | + | 35.9888i | −0.765372 | + | 1.32566i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 7.57838 | + | 13.1261i | 0.278775 | + | 0.482853i | 0.971081 | − | 0.238752i | \(-0.0767383\pi\) |
−0.692305 | + | 0.721605i | \(0.743405\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −0.915865 | − | 2.39099i | −0.0336451 | − | 0.0878352i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 5.21737 | + | 9.03675i | 0.191407 | + | 0.331526i | 0.945717 | − | 0.324992i | \(-0.105362\pi\) |
−0.754310 | + | 0.656518i | \(0.772028\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 15.5458 | 0.569555 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 1.93598 | + | 9.17220i | 0.0708339 | + | 0.335593i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 2.51943 | + | 9.03675i | 0.0920580 | + | 0.330196i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −40.2118 | −1.46735 | −0.733674 | − | 0.679501i | \(-0.762196\pi\) | ||||
−0.733674 | + | 0.679501i | \(0.762196\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −14.6235 | − | 38.1767i | −0.532911 | − | 1.39124i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 26.3891 | 0.960397 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −21.5206 | −0.782181 | −0.391091 | − | 0.920352i | \(-0.627902\pi\) | ||||
−0.391091 | + | 0.920352i | \(0.627902\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 1.59781 | + | 4.17129i | 0.0579968 | + | 0.151408i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −23.6627 | −0.857771 | −0.428886 | − | 0.903359i | \(-0.641094\pi\) | ||||
−0.428886 | + | 0.903359i | \(0.641094\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 1.80314 | + | 0.463693i | 0.0652780 | + | 0.0167868i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 34.3595 | + | 11.2181i | 1.24227 | + | 0.405592i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −1.51135 | −0.0545717 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −5.62764 | − | 9.74736i | −0.202938 | − | 0.351499i | 0.746536 | − | 0.665345i | \(-0.231716\pi\) |
−0.949474 | + | 0.313846i | \(0.898382\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −12.5523 | − | 32.7694i | −0.452059 | − | 1.18016i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 0.138992 | + | 0.240741i | 0.00499919 | + | 0.00865886i | 0.868514 | − | 0.495664i | \(-0.165075\pi\) |
−0.863515 | + | 0.504323i | \(0.831742\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −7.31587 | + | 12.6715i | −0.262794 | + | 0.455172i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −10.6248 | + | 7.87272i | −0.381161 | + | 0.282432i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 13.4887 | 0.483281 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 66.0553 | 2.36364 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 6.39123 | − | 4.13116i | 0.228404 | − | 0.147636i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −16.7112 | + | 28.9447i | −0.596449 | + | 1.03308i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −14.6940 | + | 25.4507i | −0.523784 | + | 0.907220i | 0.475833 | + | 0.879536i | \(0.342147\pi\) |
−0.999617 | + |