Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [147,2,Mod(5,147)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(147, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([21, 29]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("147.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 147 = 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 147.o (of order \(42\), degree \(12\), 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: | \(1.17380090971\) |
Analytic rank: | \(0\) |
Dimension: | \(192\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 101.16 | ||
Character | \(\chi\) | \(=\) | 147.101 |
Dual form | 147.2.o.b.131.16 |
$q$-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 \(\left(\mathbb{Z}/147\mathbb{Z}\right)^\times\).
\(n\) | \(50\) | \(52\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{42}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.46678 | + | 0.968139i | 1.74427 | + | 0.684577i | 0.999858 | + | 0.0168620i | \(0.00536758\pi\) |
0.744417 | + | 0.667715i | \(0.232728\pi\) | |||||||
\(3\) | −0.609354 | − | 1.62132i | −0.351811 | − | 0.936071i | ||||
\(4\) | 3.68159 | + | 3.41602i | 1.84080 | + | 1.70801i | ||||
\(5\) | −0.558201 | − | 0.380575i | −0.249635 | − | 0.170198i | 0.432038 | − | 0.901856i | \(-0.357795\pi\) |
−0.681673 | + | 0.731657i | \(0.738747\pi\) | |||||||
\(6\) | 0.0665255 | − | 4.58938i | 0.0271589 | − | 1.87361i | ||||
\(7\) | −2.61511 | − | 0.401468i | −0.988420 | − | 0.151741i | ||||
\(8\) | 3.47494 | + | 7.21578i | 1.22858 | + | 2.55116i | ||||
\(9\) | −2.25738 | + | 1.97592i | −0.752459 | + | 0.658639i | ||||
\(10\) | −1.00851 | − | 1.47921i | −0.318918 | − | 0.467767i | ||||
\(11\) | −0.397532 | − | 2.63745i | −0.119860 | − | 0.795222i | −0.965299 | − | 0.261149i | \(-0.915899\pi\) |
0.845438 | − | 0.534073i | \(-0.179339\pi\) | |||||||
\(12\) | 3.29508 | − | 8.05061i | 0.951207 | − | 2.32401i | ||||
\(13\) | −1.84693 | + | 1.47288i | −0.512246 | + | 0.408503i | −0.845208 | − | 0.534438i | \(-0.820523\pi\) |
0.332962 | + | 0.942940i | \(0.391952\pi\) | |||||||
\(14\) | −6.06223 | − | 3.52212i | −1.62020 | − | 0.941327i | ||||
\(15\) | −0.276893 | + | 1.13693i | −0.0714934 | + | 0.293554i | ||||
\(16\) | 0.835388 | + | 11.1475i | 0.208847 | + | 2.78687i | ||||
\(17\) | 6.22493 | + | 1.92014i | 1.50977 | + | 0.465702i | 0.935608 | − | 0.353041i | \(-0.114852\pi\) |
0.574160 | + | 0.818743i | \(0.305329\pi\) | |||||||
\(18\) | −7.48141 | + | 2.68870i | −1.76338 | + | 0.633732i | ||||
\(19\) | −3.81368 | + | 2.20183i | −0.874918 | + | 0.505134i | −0.868979 | − | 0.494848i | \(-0.835224\pi\) |
−0.00593852 | + | 0.999982i | \(0.501890\pi\) | |||||||
\(20\) | −0.755017 | − | 3.30794i | −0.168827 | − | 0.739679i | ||||
\(21\) | 0.942621 | + | 4.48458i | 0.205697 | + | 0.978616i | ||||
\(22\) | 1.57280 | − | 6.89087i | 0.335321 | − | 1.46914i | ||||
\(23\) | −0.902543 | − | 2.92597i | −0.188193 | − | 0.610107i | −0.999669 | − | 0.0257215i | \(-0.991812\pi\) |
0.811476 | − | 0.584386i | \(-0.198665\pi\) | |||||||
\(24\) | 9.58165 | − | 10.0310i | 1.95585 | − | 2.04756i | ||||
\(25\) | −1.65995 | − | 4.22949i | −0.331991 | − | 0.845899i | ||||
\(26\) | −5.98191 | + | 1.84518i | −1.17315 | + | 0.361869i | ||||
\(27\) | 4.57914 | + | 2.45590i | 0.881256 | + | 0.472639i | ||||
\(28\) | −8.25636 | − | 10.4113i | −1.56031 | − | 1.96755i | ||||
\(29\) | 4.05261 | − | 0.924982i | 0.752551 | − | 0.171765i | 0.170996 | − | 0.985272i | \(-0.445302\pi\) |
0.581555 | + | 0.813507i | \(0.302444\pi\) | |||||||
\(30\) | −1.78374 | + | 2.53648i | −0.325664 | + | 0.463095i | ||||
\(31\) | −2.82899 | − | 1.63332i | −0.508101 | − | 0.293352i | 0.223952 | − | 0.974600i | \(-0.428104\pi\) |
−0.732053 | + | 0.681248i | \(0.761438\pi\) | |||||||
\(32\) | −4.01025 | + | 13.0009i | −0.708918 | + | 2.29826i | ||||
\(33\) | −4.03393 | + | 2.25167i | −0.702216 | + | 0.391965i | ||||
\(34\) | 13.4966 | + | 10.7631i | 2.31464 | + | 1.84586i | ||||
\(35\) | 1.30697 | + | 1.21935i | 0.220918 | + | 0.206107i | ||||
\(36\) | −15.0605 | − | 0.436712i | −2.51008 | − | 0.0727853i | ||||
\(37\) | −0.670537 | + | 0.622167i | −0.110236 | + | 0.102284i | −0.733365 | − | 0.679835i | \(-0.762051\pi\) |
0.623130 | + | 0.782119i | \(0.285861\pi\) | |||||||
\(38\) | −11.5392 | + | 1.73925i | −1.87190 | + | 0.282144i | ||||
\(39\) | 3.51344 | + | 2.09697i | 0.562601 | + | 0.335783i | ||||
\(40\) | 0.806432 | − | 5.35033i | 0.127508 | − | 0.845961i | ||||
\(41\) | 0.0490626 | − | 0.0236273i | 0.00766230 | − | 0.00368997i | −0.430049 | − | 0.902806i | \(-0.641504\pi\) |
0.437711 | + | 0.899116i | \(0.355789\pi\) | |||||||
\(42\) | −2.01646 | + | 11.9750i | −0.311147 | + | 1.84779i | ||||
\(43\) | 9.68158 | + | 4.66240i | 1.47643 | + | 0.711010i | 0.986953 | − | 0.161009i | \(-0.0514747\pi\) |
0.489474 | + | 0.872018i | \(0.337189\pi\) | |||||||
\(44\) | 7.54604 | − | 11.0680i | 1.13761 | − | 1.66856i | ||||
\(45\) | 2.01205 | − | 0.243859i | 0.299939 | − | 0.0363523i | ||||
\(46\) | 0.606375 | − | 8.09151i | 0.0894051 | − | 1.19303i | ||||
\(47\) | 2.86592 | − | 7.30225i | 0.418038 | − | 1.06514i | −0.554456 | − | 0.832213i | \(-0.687074\pi\) |
0.972494 | − | 0.232930i | \(-0.0748312\pi\) | |||||||
\(48\) | 17.5646 | − | 8.14719i | 2.53523 | − | 1.17595i | ||||
\(49\) | 6.67765 | + | 2.09977i | 0.953950 | + | 0.299967i | ||||
\(50\) | − | 12.0403i | − | 1.70275i | ||||||
\(51\) | −0.680023 | − | 11.2627i | −0.0952223 | − | 1.57709i | ||||
\(52\) | −11.8310 | − | 0.886612i | −1.64067 | − | 0.122951i | ||||
\(53\) | −7.93513 | + | 8.55204i | −1.08997 | + | 1.17471i | −0.106378 | + | 0.994326i | \(0.533925\pi\) |
−0.983596 | + | 0.180387i | \(0.942265\pi\) | |||||||
\(54\) | 8.91807 | + | 10.4914i | 1.21360 | + | 1.42770i | ||||
\(55\) | −0.781845 | + | 1.62352i | −0.105424 | + | 0.218915i | ||||
\(56\) | −6.19045 | − | 20.2652i | −0.827234 | − | 2.70805i | ||||
\(57\) | 5.89375 | + | 4.84151i | 0.780647 | + | 0.641274i | ||||
\(58\) | 10.8924 | + | 1.64177i | 1.43024 | + | 0.215574i | ||||
\(59\) | 4.53756 | − | 3.09366i | 0.590740 | − | 0.402760i | −0.230725 | − | 0.973019i | \(-0.574110\pi\) |
0.821465 | + | 0.570259i | \(0.193157\pi\) | |||||||
\(60\) | −4.90317 | + | 3.23983i | −0.632997 | + | 0.418261i | ||||
\(61\) | 5.32435 | + | 5.73828i | 0.681713 | + | 0.734712i | 0.975218 | − | 0.221246i | \(-0.0710123\pi\) |
−0.293505 | + | 0.955957i | \(0.594822\pi\) | |||||||
\(62\) | −5.39720 | − | 6.76788i | −0.685445 | − | 0.859521i | ||||
\(63\) | 6.69656 | − | 4.26099i | 0.843688 | − | 0.536834i | ||||
\(64\) | −8.53940 | + | 10.7081i | −1.06742 | + | 1.33851i | ||||
\(65\) | 1.59150 | − | 0.119266i | 0.197401 | − | 0.0147932i | ||||
\(66\) | −12.1307 | + | 1.64897i | −1.49319 | + | 0.202974i | ||||
\(67\) | −5.29084 | + | 9.16400i | −0.646379 | + | 1.11956i | 0.337603 | + | 0.941289i | \(0.390384\pi\) |
−0.983981 | + | 0.178272i | \(0.942949\pi\) | |||||||
\(68\) | 16.3584 | + | 28.3336i | 1.98375 | + | 3.43596i | ||||
\(69\) | −4.19398 | + | 3.24627i | −0.504896 | + | 0.390804i | ||||
\(70\) | 2.04351 | + | 4.27318i | 0.244246 | + | 0.510743i | ||||
\(71\) | −4.60073 | − | 1.05009i | −0.546006 | − | 0.124622i | −0.0593843 | − | 0.998235i | \(-0.518914\pi\) |
−0.486621 | + | 0.873613i | \(0.661771\pi\) | |||||||
\(72\) | −22.1020 | − | 9.42254i | −2.60475 | − | 1.11046i | ||||
\(73\) | −2.97520 | + | 1.16768i | −0.348221 | + | 0.136666i | −0.533004 | − | 0.846113i | \(-0.678937\pi\) |
0.184783 | + | 0.982779i | \(0.440842\pi\) | |||||||
\(74\) | −2.25641 | + | 0.885575i | −0.262302 | + | 0.102946i | ||||
\(75\) | −5.84588 | + | 5.26858i | −0.675024 | + | 0.608363i | ||||
\(76\) | −21.5619 | − | 4.92136i | −2.47332 | − | 0.564519i | ||||
\(77\) | −0.0192611 | + | 7.05684i | −0.00219501 | + | 0.804201i | ||||
\(78\) | 6.63672 | + | 8.57424i | 0.751461 | + | 0.970842i | ||||
\(79\) | −5.34565 | − | 9.25893i | −0.601432 | − | 1.04171i | −0.992604 | − | 0.121394i | \(-0.961264\pi\) |
0.391172 | − | 0.920318i | \(-0.372070\pi\) | |||||||
\(80\) | 3.77613 | − | 6.54045i | 0.422185 | − | 0.731245i | ||||
\(81\) | 1.19149 | − | 8.92078i | 0.132388 | − | 0.991198i | ||||
\(82\) | 0.143901 | − | 0.0107839i | 0.0158912 | − | 0.00119088i | ||||
\(83\) | 0.527719 | − | 0.661739i | 0.0579247 | − | 0.0726353i | −0.752025 | − | 0.659134i | \(-0.770923\pi\) |
0.809950 | + | 0.586499i | \(0.199494\pi\) | |||||||
\(84\) | −11.8491 | + | 19.7304i | −1.29284 | + | 2.15276i | ||||
\(85\) | −2.74401 | − | 3.44087i | −0.297629 | − | 0.373215i | ||||
\(86\) | 19.3684 | + | 20.8742i | 2.08855 | + | 2.25092i | ||||
\(87\) | −3.96917 | − | 6.00695i | −0.425540 | − | 0.644013i | ||||
\(88\) | 17.6499 | − | 12.0335i | 1.88148 | − | 1.28277i | ||||
\(89\) | −9.48349 | − | 1.42941i | −1.00525 | − | 0.151517i | −0.374272 | − | 0.927319i | \(-0.622107\pi\) |
−0.630976 | + | 0.775802i | \(0.717345\pi\) | |||||||
\(90\) | 5.19938 | + | 1.34640i | 0.548062 | + | 0.141923i | ||||
\(91\) | 5.42124 | − | 3.11026i | 0.568301 | − | 0.326044i | ||||
\(92\) | 6.67238 | − | 13.8553i | 0.695643 | − | 1.44452i | ||||
\(93\) | −0.924279 | + | 5.58197i | −0.0958433 | + | 0.578823i | ||||
\(94\) | 14.1392 | − | 15.2384i | 1.45835 | − | 1.57172i | ||||
\(95\) | 2.96676 | + | 0.222328i | 0.304383 | + | 0.0228104i | ||||
\(96\) | 23.5223 | − | 1.42024i | 2.40074 | − | 0.144953i | ||||
\(97\) | 5.34721i | 0.542927i | 0.962449 | + | 0.271463i | \(0.0875076\pi\) | ||||
−0.962449 | + | 0.271463i | \(0.912492\pi\) | |||||||
\(98\) | 14.4394 | + | 11.6445i | 1.45860 | + | 1.17628i | ||||
\(99\) | 6.10877 | + | 5.16823i | 0.613955 | + | 0.519427i | ||||
\(100\) | 8.33675 | − | 21.2417i | 0.833675 | − | 2.12417i | ||||
\(101\) | 0.313979 | − | 4.18976i | 0.0312421 | − | 0.416897i | −0.959553 | − | 0.281528i | \(-0.909159\pi\) |
0.990795 | − | 0.135369i | \(-0.0432221\pi\) | |||||||
\(102\) | 9.22636 | − | 28.4408i | 0.913546 | − | 2.81606i | ||||
\(103\) | −3.50141 | + | 5.13563i | −0.345004 | + | 0.506029i | −0.959048 | − | 0.283244i | \(-0.908590\pi\) |
0.614044 | + | 0.789272i | \(0.289542\pi\) | |||||||
\(104\) | −17.0459 | − | 8.20888i | −1.67149 | − | 0.804947i | ||||
\(105\) | 1.18055 | − | 2.86203i | 0.115210 | − | 0.279306i | ||||
\(106\) | −27.8538 | + | 13.4137i | −2.70540 | + | 1.30285i | ||||
\(107\) | 0.0104725 | − | 0.0694806i | 0.00101242 | − | 0.00671695i | −0.988319 | − | 0.152400i | \(-0.951300\pi\) |
0.989331 | + | 0.145683i | \(0.0465379\pi\) | |||||||
\(108\) | 8.46913 | + | 24.6841i | 0.814942 | + | 2.37522i | ||||
\(109\) | −7.07213 | + | 1.06595i | −0.677387 | + | 0.102100i | −0.478720 | − | 0.877967i | \(-0.658899\pi\) |
−0.198667 | + | 0.980067i | \(0.563661\pi\) | |||||||
\(110\) | −3.50043 | + | 3.24792i | −0.333753 | + | 0.309677i | ||||
\(111\) | 1.41733 | + | 0.708037i | 0.134527 | + | 0.0672039i | ||||
\(112\) | 2.29072 | − | 29.4873i | 0.216453 | − | 2.78629i | ||||
\(113\) | 1.47353 | + | 1.17510i | 0.138618 | + | 0.110544i | 0.690344 | − | 0.723481i | \(-0.257459\pi\) |
−0.551726 | + | 0.834025i | \(0.686031\pi\) | |||||||
\(114\) | 9.85132 | + | 17.6489i | 0.922661 | + | 1.65297i | ||||
\(115\) | −0.609751 | + | 1.97676i | −0.0568596 | + | 0.184334i | ||||
\(116\) | 18.0798 | + | 10.4384i | 1.67867 | + | 0.969180i | ||||
\(117\) | 1.25893 | − | 6.97422i | 0.116388 | − | 0.644767i | ||||
\(118\) | 14.1882 | − | 3.23837i | 1.30613 | − | 0.298116i | ||||
\(119\) | −15.5080 | − | 7.52049i | −1.42162 | − | 0.689402i | ||||
\(120\) | −9.16601 | + | 1.95276i | −0.836739 | + | 0.178261i | ||||
\(121\) | 3.71317 | − | 1.14536i | 0.337561 | − | 0.104124i | ||||
\(122\) | 7.57853 | + | 19.3098i | 0.686128 | + | 1.74822i | ||||
\(123\) | −0.0682040 | − | 0.0651490i | −0.00614975 | − | 0.00587429i | ||||
\(124\) | −4.83574 | − | 15.6771i | −0.434262 | − | 1.40784i | ||||
\(125\) | −1.43472 | + | 6.28591i | −0.128325 | + | 0.562229i | ||||
\(126\) | 20.6442 | − | 4.02770i | 1.83913 | − | 0.358816i | ||||
\(127\) | −0.672005 | − | 2.94425i | −0.0596308 | − | 0.261260i | 0.936321 | − | 0.351144i | \(-0.114207\pi\) |
−0.995952 | + | 0.0898845i | \(0.971350\pi\) | |||||||
\(128\) | −7.86654 | + | 4.54175i | −0.695310 | + | 0.401437i | ||||
\(129\) | 1.65975 | − | 18.5380i | 0.146133 | − | 1.63218i | ||||
\(130\) | 4.04133 | + | 1.24659i | 0.354448 | + | 0.109333i | ||||
\(131\) | −1.10982 | − | 14.8095i | −0.0969654 | − | 1.29391i | −0.807339 | − | 0.590088i | \(-0.799093\pi\) |
0.710374 | − | 0.703825i | \(-0.248526\pi\) | |||||||
\(132\) | −22.5430 | − | 5.49023i | −1.96212 | − | 0.477863i | ||||
\(133\) | 10.8572 | − | 4.22696i | 0.941436 | − | 0.366524i | ||||
\(134\) | −21.9233 | + | 17.4833i | −1.89389 | + | 1.51033i | ||||
\(135\) | −1.62143 | − | 3.11359i | −0.139550 | − | 0.267975i | ||||
\(136\) | 7.77596 | + | 51.5901i | 0.666783 | + | 4.42382i | ||||
\(137\) | −2.96736 | − | 4.35232i | −0.253519 | − | 0.371844i | 0.678289 | − | 0.734795i | \(-0.262722\pi\) |
−0.931808 | + | 0.362951i | \(0.881769\pi\) | |||||||
\(138\) | −13.4884 | + | 3.94746i | −1.14821 | + | 0.336030i | ||||
\(139\) | 0.343671 | + | 0.713640i | 0.0291498 | + | 0.0605302i | 0.915035 | − | 0.403374i | \(-0.132163\pi\) |
−0.885886 | + | 0.463904i | \(0.846448\pi\) | |||||||
\(140\) | 0.646421 | + | 8.95377i | 0.0546326 | + | 0.756731i | ||||
\(141\) | −13.5857 | − | 0.196932i | −1.14412 | − | 0.0165846i | ||||
\(142\) | −10.3323 | − | 7.04447i | −0.867070 | − | 0.591159i | ||||
\(143\) | 4.61886 | + | 4.28567i | 0.386248 | + | 0.358386i | ||||
\(144\) | −23.9123 | − | 23.5134i | −1.99269 | − | 1.95945i | ||||
\(145\) | −2.61420 | − | 1.02600i | −0.217097 | − | 0.0852044i | ||||
\(146\) | −8.46962 | −0.700951 | ||||||||
\(147\) | −0.664645 | − | 12.1061i | −0.0548190 | − | 0.998496i | ||||
\(148\) | −4.59398 | −0.377623 | ||||||||
\(149\) | 7.71205 | + | 3.02676i | 0.631796 | + | 0.247962i | 0.659559 | − | 0.751653i | \(-0.270743\pi\) |
−0.0277630 | + | 0.999615i | \(0.508838\pi\) | |||||||
\(150\) | −19.5212 | + | 7.33679i | −1.59390 | + | 0.599047i | ||||
\(151\) | −14.9588 | − | 13.8798i | −1.21733 | − | 1.12952i | −0.987720 | − | 0.156238i | \(-0.950063\pi\) |
−0.229613 | − | 0.973282i | \(-0.573746\pi\) | |||||||
\(152\) | −29.1402 | − | 19.8675i | −2.36358 | − | 1.61146i | ||||
\(153\) | −17.8460 | + | 7.96549i | −1.44277 | + | 0.643971i | ||||
\(154\) | −6.87951 | + | 17.3890i | −0.554367 | + | 1.40125i | ||||
\(155\) | 0.957543 | + | 1.98836i | 0.0769117 | + | 0.159709i | ||||
\(156\) | 5.77179 | + | 19.7222i | 0.462113 | + | 1.57904i | ||||
\(157\) | −1.95889 | − | 2.87316i | −0.156336 | − | 0.229303i | 0.740077 | − | 0.672522i | \(-0.234789\pi\) |
−0.896414 | + | 0.443219i | \(0.853837\pi\) | |||||||
\(158\) | −4.22259 | − | 28.0150i | −0.335931 | − | 2.22876i | ||||
\(159\) | 18.7009 | + | 7.65419i | 1.48308 | + | 0.607017i | ||||
\(160\) | 7.18633 | − | 5.73091i | 0.568130 | − | 0.453068i | ||||
\(161\) | 1.18557 | + | 8.01409i | 0.0934359 | + | 0.631599i | ||||
\(162\) | 11.5757 | − | 20.8520i | 0.909473 | − | 1.63829i | ||||
\(163\) | 0.460642 | + | 6.14685i | 0.0360803 | + | 0.481458i | 0.985751 | + | 0.168209i | \(0.0537984\pi\) |
−0.949671 | + | 0.313249i | \(0.898583\pi\) | |||||||
\(164\) | 0.261340 | + | 0.0806127i | 0.0204072 | + | 0.00629479i | ||||
\(165\) | 3.10867 | + | 0.278327i | 0.242010 | + | 0.0216677i | ||||
\(166\) | 1.94242 | − | 1.12146i | 0.150761 | − | 0.0870420i | ||||
\(167\) | 1.07324 | + | 4.70217i | 0.0830498 | + | 0.363865i | 0.999327 | − | 0.0366797i | \(-0.0116781\pi\) |
−0.916277 | + | 0.400545i | \(0.868821\pi\) | |||||||
\(168\) | −29.0842 | + | 22.3854i | −2.24390 | + | 1.72707i | ||||
\(169\) | −1.65099 | + | 7.23346i | −0.126999 | + | 0.556420i | ||||
\(170\) | −3.43761 | − | 11.1444i | −0.263652 | − | 0.854740i | ||||
\(171\) | 4.25827 | − | 12.5059i | 0.325638 | − | 0.956348i | ||||
\(172\) | 19.7168 | + | 50.2375i | 1.50339 | + | 3.83057i | ||||
\(173\) | 0.462067 | − | 0.142529i | 0.0351303 | − | 0.0108363i | −0.277140 | − | 0.960829i | \(-0.589387\pi\) |
0.312271 | + | 0.949993i | \(0.398910\pi\) | |||||||
\(174\) | −3.97549 | − | 18.6605i | −0.301381 | − | 1.41465i | ||||
\(175\) | 2.64296 | + | 11.7270i | 0.199789 | + | 0.886480i | ||||
\(176\) | 29.0688 | − | 6.63478i | 2.19115 | − | 0.500115i | ||||
\(177\) | −7.78079 | − | 5.47172i | −0.584840 | − | 0.411280i | ||||
\(178\) | −22.0098 | − | 12.7074i | −1.64970 | − | 0.952457i | ||||
\(179\) | −3.57857 | + | 11.6014i | −0.267475 | + | 0.867132i | 0.717814 | + | 0.696235i | \(0.245143\pi\) |
−0.985289 | + | 0.170897i | \(0.945334\pi\) | |||||||
\(180\) | 8.24058 | + | 5.97542i | 0.614217 | + | 0.445382i | ||||
\(181\) | −11.5798 | − | 9.23457i | −0.860719 | − | 0.686400i | 0.0901721 | − | 0.995926i | \(-0.471258\pi\) |
−0.950891 | + | 0.309526i | \(0.899830\pi\) | |||||||
\(182\) | 16.3842 | − | 2.42380i | 1.21447 | − | 0.179664i | ||||
\(183\) | 6.05920 | − | 12.1291i | 0.447909 | − | 0.896611i | ||||
\(184\) | 17.9769 | − | 16.6801i | 1.32527 | − | 1.22968i | ||||
\(185\) | 0.611075 | − | 0.0921048i | 0.0449271 | − | 0.00677168i | ||||
\(186\) | −7.68411 | + | 12.8746i | −0.563426 | + | 0.944014i | ||||
\(187\) | 2.58966 | − | 17.1813i | 0.189375 | − | 1.25642i | ||||
\(188\) | 35.4958 | − | 17.0939i | 2.58880 | − | 1.24670i | ||||
\(189\) | −10.9890 | − | 8.26084i | −0.799333 | − | 0.600888i | ||||
\(190\) | 7.10309 | + | 3.42067i | 0.515312 | + | 0.248161i | ||||
\(191\) | 7.07949 | − | 10.3837i | 0.512254 | − | 0.751339i | −0.479769 | − | 0.877395i | \(-0.659280\pi\) |
0.992023 | + | 0.126056i | \(0.0402320\pi\) | |||||||
\(192\) | 22.5648 | + | 7.32012i | 1.62847 | + | 0.528284i | ||||
\(193\) | −0.611623 | + | 8.16154i | −0.0440256 | + | 0.587481i | 0.930947 | + | 0.365155i | \(0.118984\pi\) |
−0.974972 | + | 0.222326i | \(0.928635\pi\) | |||||||
\(194\) | −5.17684 | + | 13.1904i | −0.371675 | + | 0.947014i | ||||
\(195\) | −1.16315 | − | 2.50766i | −0.0832952 | − | 0.179577i | ||||
\(196\) | 17.4115 | + | 30.5415i | 1.24368 | + | 2.18153i | ||||
\(197\) | 4.13805i | 0.294824i | 0.989075 | + | 0.147412i | \(0.0470943\pi\) | ||||
−0.989075 | + | 0.147412i | \(0.952906\pi\) | |||||||
\(198\) | 10.0654 | + | 18.6630i | 0.715318 | + | 1.32632i | ||||
\(199\) | 4.90858 | + | 0.367847i | 0.347960 | + | 0.0260760i | 0.247564 | − | 0.968872i | \(-0.420370\pi\) |
0.100396 | + | 0.994948i | \(0.467989\pi\) | |||||||
\(200\) | 24.7509 | − | 26.6751i | 1.75015 | − | 1.88621i | ||||
\(201\) | 18.0818 | + | 2.99404i | 1.27539 | + | 0.211183i | ||||
\(202\) | 4.83079 | − | 10.0312i | 0.339893 | − | 0.705795i | ||||
\(203\) | −10.9694 | + | 0.791941i | −0.769901 | + | 0.0555833i | ||||
\(204\) | 35.9699 | − | 43.7875i | 2.51840 | − | 3.06574i | ||||
\(205\) | −0.0363788 | − | 0.00548321i | −0.00254080 | − | 0.000382964i | ||||
\(206\) | −13.6092 | + | 9.27860i | −0.948198 | + | 0.646471i | ||||
\(207\) | 7.81886 | + | 4.82167i | 0.543448 | + | 0.335129i | ||||
\(208\) | −17.9618 | − | 19.3582i | −1.24542 | − | 1.34225i | ||||
\(209\) | 7.32328 | + | 9.18310i | 0.506562 | + | 0.635208i | ||||
\(210\) | 5.68299 | − | 5.91706i | 0.392164 | − | 0.408316i | ||||
\(211\) | 9.47403 | − | 11.8801i | 0.652219 | − | 0.817857i | −0.340252 | − | 0.940334i | \(-0.610512\pi\) |
0.992471 | + | 0.122477i | \(0.0390838\pi\) | |||||||
\(212\) | −58.4278 | + | 4.37856i | −4.01284 | + | 0.300721i | ||||
\(213\) | 1.10094 | + | 8.09914i | 0.0754353 | + | 0.554944i | ||||
\(214\) | 0.0931003 | − | 0.161254i | 0.00636420 | − | 0.0110231i | ||||
\(215\) | −3.62987 | − | 6.28712i | −0.247555 | − | 0.428778i | ||||
\(216\) | −1.80902 | + | 41.5762i | −0.123088 | + | 2.82890i | ||||
\(217\) | 6.74240 | + | 5.40706i | 0.457704 | + | 0.367055i | ||||
\(218\) | −18.4773 | − | 4.21733i | −1.25144 | − | 0.285634i | ||||
\(219\) | 3.70613 | + | 4.11223i | 0.250437 | + | 0.277878i | ||||
\(220\) | −8.42440 | + | 3.30634i | −0.567973 | + | 0.222913i | ||||
\(221\) | −14.3251 | + | 5.62220i | −0.963613 | + | 0.378190i | ||||
\(222\) | 2.81075 | + | 3.11874i | 0.188645 | + | 0.209316i | ||||
\(223\) | 4.94525 | + | 1.12872i | 0.331158 | + | 0.0755847i | 0.384867 | − | 0.922972i | \(-0.374247\pi\) |
−0.0537091 | + | 0.998557i | \(0.517104\pi\) | |||||||
\(224\) | 15.7067 | − | 32.3888i | 1.04945 | − | 2.16407i | ||||
\(225\) | 12.1043 | + | 6.26763i | 0.806952 | + | 0.417842i | ||||
\(226\) | 2.49720 | + | 4.32528i | 0.166112 | + | 0.287714i | ||||
\(227\) | −12.6493 | + | 21.9092i | −0.839563 | + | 1.45417i | 0.0506967 | + | 0.998714i | \(0.483856\pi\) |
−0.890260 | + | 0.455452i | \(0.849478\pi\) | |||||||
\(228\) | 5.15970 | + | 37.9576i | 0.341710 | + | 2.51381i | ||||
\(229\) | −22.8649 | + | 1.71349i | −1.51095 | + | 0.113230i | −0.804255 | − | 0.594284i | \(-0.797436\pi\) |
−0.706699 | + | 0.707514i | \(0.749816\pi\) | |||||||
\(230\) | −3.41790 | + | 4.28591i | −0.225370 | + | 0.282605i | ||||
\(231\) | 11.4532 | − | 4.26888i | 0.753562 | − | 0.280872i | ||||
\(232\) | 20.7571 | + | 26.0285i | 1.36277 | + | 1.70886i | ||||
\(233\) | −8.39681 | − | 9.04961i | −0.550094 | − | 0.592860i | 0.395397 | − | 0.918510i | \(-0.370607\pi\) |
−0.945490 | + | 0.325651i | \(0.894417\pi\) | |||||||
\(234\) | 9.85751 | − | 15.9850i | 0.644405 | − | 1.04497i | ||||
\(235\) | −4.37881 | + | 2.98542i | −0.285642 | + | 0.194748i | ||||
\(236\) | 27.2734 | + | 4.11081i | 1.77535 | + | 0.267591i | ||||
\(237\) | −11.7543 | + | 14.3090i | −0.763526 | + | 0.929468i | ||||
\(238\) | −30.9740 | − | 33.5653i | −2.00775 | − | 2.17572i | ||||
\(239\) | −1.06905 | + | 2.21991i | −0.0691513 | + | 0.143594i | −0.932679 | − | 0.360707i | \(-0.882535\pi\) |
0.863528 | + | 0.504301i | \(0.168250\pi\) | |||||||
\(240\) | −12.9052 | − | 2.13688i | −0.833026 | − | 0.137935i | ||||
\(241\) | 12.1534 | − | 13.0983i | 0.782870 | − | 0.843733i | −0.208060 | − | 0.978116i | \(-0.566715\pi\) |
0.990929 | + | 0.134383i | \(0.0429054\pi\) | |||||||
\(242\) | 10.2684 | + | 0.769513i | 0.660080 | + | 0.0494662i | ||||
\(243\) | −15.1895 | + | 3.50412i | −0.974407 | + | 0.224789i | ||||
\(244\) | 39.3141i | 2.51683i | ||||||||
\(245\) | −2.92835 | − | 3.71344i | −0.187085 | − | 0.237243i | ||||
\(246\) | −0.105171 | − | 0.226739i | −0.00670545 | − | 0.0144563i | ||||
\(247\) | 3.80057 | − | 9.68370i | 0.241825 | − | 0.616159i | ||||
\(248\) | 1.95510 | − | 26.0890i | 0.124149 | − | 1.65665i | ||||
\(249\) | −1.39446 | − | 0.452370i | −0.0883703 | − | 0.0286678i | ||||
\(250\) | −9.62476 | + | 14.1169i | −0.608724 | + | 0.892833i | ||||
\(251\) | 27.3734 | + | 13.1823i | 1.72779 | + | 0.832060i | 0.987078 | + | 0.160239i | \(0.0512264\pi\) |
0.740713 | + | 0.671822i | \(0.234488\pi\) | |||||||
\(252\) | 39.2096 | + | 7.18836i | 2.46997 | + | 0.452824i | ||||
\(253\) | −7.35833 | + | 3.54358i | −0.462614 | + | 0.222783i | ||||
\(254\) | 1.19275 | − | 7.91340i | 0.0748399 | − | 0.496531i | ||||
\(255\) | −3.90670 | + | 6.54563i | −0.244647 | + | 0.409903i | ||||
\(256\) | 3.28429 | − | 0.495027i | 0.205268 | − | 0.0309392i | ||||
\(257\) | 10.8531 | − | 10.0702i | 0.677000 | − | 0.628164i | −0.264814 | − | 0.964300i | \(-0.585311\pi\) |
0.941814 | + | 0.336136i | \(0.109120\pi\) | |||||||
\(258\) | 22.0416 | − | 44.1223i | 1.37225 | − | 2.74693i | ||||
\(259\) | 2.00331 | − | 1.35784i | 0.124480 | − | 0.0843720i | ||||
\(260\) | 6.26666 | + | 4.99749i | 0.388642 | + | 0.309931i | ||||
\(261\) | −7.32058 | + | 10.0957i | −0.453133 | + | 0.624906i | ||||
\(262\) | 11.6000 | − | 37.6062i | 0.716649 | − | 2.32332i | ||||
\(263\) | 0.0634170 | + | 0.0366138i | 0.00391046 | + | 0.00225770i | 0.501954 | − | 0.864894i | \(-0.332615\pi\) |
−0.498043 | + | 0.867152i | \(0.665948\pi\) | |||||||
\(264\) | −30.2652 | − | 21.2835i | −1.86269 | − | 1.30991i | ||||
\(265\) | 7.68408 | − | 1.75384i | 0.472030 | − | 0.107738i | ||||
\(266\) | 30.8745 | + | 0.0842696i | 1.89304 | + | 0.00516690i | ||||
\(267\) | 3.46127 | + | 16.2468i | 0.211826 | + | 0.994289i | ||||
\(268\) | −50.7831 | + | 15.6645i | −3.10207 | + | 0.956862i | ||||
\(269\) | −0.860784 | − | 2.19324i | −0.0524829 | − | 0.133724i | 0.902228 | − | 0.431260i | \(-0.141931\pi\) |
−0.954711 | + | 0.297535i | \(0.903835\pi\) | |||||||
\(270\) | −0.985307 | − | 9.25030i | −0.0599639 | − | 0.562955i | ||||
\(271\) | 5.95547 | + | 19.3071i | 0.361769 | + | 1.17283i | 0.935364 | + | 0.353687i | \(0.115072\pi\) |
−0.573595 | + | 0.819139i | \(0.694452\pi\) | |||||||
\(272\) | −16.2044 | + | 70.9963i | −0.982539 | + | 4.30478i | ||||
\(273\) | −8.34619 | − | 6.89434i | −0.505134 | − | 0.417264i | ||||
\(274\) | −3.10617 | − | 13.6090i | −0.187651 | − | 0.822151i | ||||
\(275\) | −10.4952 | + | 6.05941i | −0.632885 | + | 0.365396i | ||||
\(276\) | −26.5298 | − | 2.37528i | −1.59691 | − | 0.142975i | ||||
\(277\) | 15.0681 | + | 4.64789i | 0.905354 | + | 0.279265i | 0.712260 | − | 0.701916i | \(-0.247672\pi\) |
0.193094 | + | 0.981180i | \(0.438148\pi\) | |||||||
\(278\) | 0.156857 | + | 2.09311i | 0.00940766 | + | 0.125536i | ||||
\(279\) | 9.61338 | − | 1.90284i | 0.575538 | − | 0.113920i | ||||
\(280\) | −4.25690 | + | 13.6680i | −0.254398 | + | 0.816817i | ||||
\(281\) | 21.4797 | − | 17.1295i | 1.28137 | − | 1.02186i | 0.283347 | − | 0.959018i | \(-0.408555\pi\) |
0.998024 | − | 0.0628410i | \(-0.0200161\pi\) | |||||||
\(282\) | −33.3221 | − | 13.6386i | −1.98431 | − | 0.812166i | ||||
\(283\) | 4.29395 | + | 28.4885i | 0.255249 | + | 1.69347i | 0.638340 | + | 0.769755i | \(0.279621\pi\) |
−0.383091 | + | 0.923711i | \(0.625140\pi\) | |||||||
\(284\) | −13.3509 | − | 19.5822i | −0.792229 | − | 1.16199i | ||||
\(285\) | −1.44734 | − | 4.94555i | −0.0857330 | − | 0.292949i | ||||
\(286\) | 7.24457 | + | 15.0435i | 0.428380 | + | 0.889541i | ||||
\(287\) | −0.137790 | + | 0.0420911i | −0.00813349 | + | 0.00248456i | ||||
\(288\) | −16.6361 | − | 37.2718i | −0.980290 | − | 2.19626i | ||||
\(289\) | 21.0168 | + | 14.3290i | 1.23628 | + | 0.842883i | ||||
\(290\) | −5.45533 | − | 5.06181i | −0.320348 | − | 0.297240i | ||||
\(291\) | 8.66955 | − | 3.25834i | 0.508218 | − | 0.191007i | ||||
\(292\) | −14.9423 | − | 5.86441i | −0.874430 | − | 0.343189i | ||||
\(293\) | −1.68987 | −0.0987230 | −0.0493615 | − | 0.998781i | \(-0.515719\pi\) | ||||
−0.0493615 | + | 0.998781i | \(0.515719\pi\) | |||||||
\(294\) | 10.0809 | − | 30.5066i | 0.587929 | − | 1.77918i | ||||
\(295\) | −3.71024 | −0.216018 | ||||||||
\(296\) | −6.81950 | − | 2.67646i | −0.396375 | − | 0.155566i | ||||
\(297\) | 4.65697 | − | 13.0536i | 0.270225 | − | 0.757445i | ||||
\(298\) | 16.0936 | + | 14.9327i | 0.932277 | + | 0.865026i | ||||
\(299\) | 5.97653 | + | 4.07473i | 0.345632 | + | 0.235648i | ||||
\(300\) | −39.5197 | − | 0.572859i | −2.28167 | − | 0.0330740i | ||||
\(301\) | −23.4466 | − | 16.0796i | −1.35144 | − | 0.926810i | ||||
\(302\) | −23.4626 | − | 48.7205i | −1.35012 | − | 2.80355i | ||||
\(303\) | −6.98428 | + | 2.04399i | −0.401237 | + | 0.117424i | ||||
\(304\) | −27.7307 | − | 40.6735i | −1.59047 | − | 2.33279i | ||||
\(305\) | −0.788209 | − | 5.22943i | −0.0451327 | − | 0.299436i | ||||
\(306\) | −51.7339 | + | 2.37163i | −2.95743 | + | 0.135577i | ||||
\(307\) | −1.69176 | + | 1.34913i | −0.0965539 | + | 0.0769992i | −0.670577 | − | 0.741840i | \(-0.733953\pi\) |
0.574023 | + | 0.818839i | \(0.305382\pi\) | |||||||
\(308\) | −24.1772 | + | 25.9146i | −1.37762 | + | 1.47662i | ||||
\(309\) | 10.4601 | + | 2.54751i | 0.595055 | + | 0.144923i | ||||
\(310\) | 0.437038 | + | 5.83187i | 0.0248221 | + | 0.331228i | ||||
\(311\) | 7.07955 | + | 2.18375i | 0.401444 | + | 0.123829i | 0.488901 | − | 0.872339i | \(-0.337398\pi\) |
−0.0874570 | + | 0.996168i | \(0.527874\pi\) | |||||||
\(312\) | −2.92225 | + | 32.6391i | −0.165440 | + | 1.84782i | ||||
\(313\) | 23.8935 | − | 13.7949i | 1.35054 | − | 0.779734i | 0.362215 | − | 0.932095i | \(-0.382021\pi\) |
0.988325 | + | 0.152360i | \(0.0486874\pi\) | |||||||
\(314\) | −2.05052 | − | 8.98392i | −0.115718 | − | 0.506992i | ||||
\(315\) | −5.35965 | − | 0.170057i | −0.301982 | − | 0.00958162i | ||||
\(316\) | 11.9482 | − | 52.3484i | 0.672138 | − | 2.94483i | ||||
\(317\) | 7.72527 | + | 25.0447i | 0.433894 | + | 1.40665i | 0.863826 | + | 0.503789i | \(0.168061\pi\) |
−0.429932 | + | 0.902861i | \(0.641463\pi\) | |||||||
\(318\) | 38.7207 | + | 36.9863i | 2.17135 | + | 2.07409i | ||||
\(319\) | −4.05064 | − | 10.3209i | −0.226792 | − | 0.577858i | ||||
\(320\) | 8.84192 | − | 2.72737i | 0.494278 | − | 0.152465i | ||||
\(321\) | −0.119032 | + | 0.0253590i | −0.00664372 | + | 0.00141540i | ||||
\(322\) | −4.83422 | + | 20.9168i | −0.269401 | + | 1.16565i | ||||
\(323\) | −27.9677 | + | 6.38345i | −1.55616 | + | 0.355184i | ||||
\(324\) | 34.8601 | − | 28.7725i | 1.93667 | − | 1.59847i | ||||
\(325\) | 9.29534 | + | 5.36667i | 0.515613 | + | 0.297689i | ||||
\(326\) | −4.81470 | + | 15.6089i | −0.266661 | + | 0.864495i | ||||
\(327\) | 6.03768 | + | 10.8167i | 0.333884 | + | 0.598163i | ||||
\(328\) | 0.340979 | + | 0.271922i | 0.0188274 | + | 0.0150144i | ||||
\(329\) | −10.4263 | + | 17.9456i | −0.574822 | + | 0.989375i | ||||
\(330\) | 7.39893 | + | 3.69619i | 0.407298 | + | 0.203469i | ||||
\(331\) | −10.3715 | + | 9.62339i | −0.570072 | + | 0.528949i | −0.911684 | − | 0.410892i | \(-0.865217\pi\) |
0.341612 | + | 0.939841i | \(0.389027\pi\) | |||||||
\(332\) | 4.20336 | − | 0.633554i | 0.230689 | − | 0.0347708i | ||||
\(333\) | 0.284302 | − | 2.72939i | 0.0155797 | − | 0.149570i | ||||
\(334\) | −1.90491 | + | 12.6382i | −0.104232 | + | 0.691534i | ||||
\(335\) | 6.44094 | − | 3.10179i | 0.351906 | − | 0.169469i | ||||
\(336\) | −49.2043 | + | 14.2542i | −2.68431 | + | 0.777630i | ||||
\(337\) | 18.5020 | + | 8.91011i | 1.00787 | + | 0.485365i | 0.863602 | − | 0.504174i | \(-0.168203\pi\) |
0.144268 | + | 0.989539i | \(0.453917\pi\) | |||||||
\(338\) | −11.0756 | + | 16.2450i | −0.602434 | + | 0.883609i | ||||
\(339\) | 1.00732 | − | 3.10511i | 0.0547099 | − | 0.168647i | ||||
\(340\) | 1.65178 | − | 22.0415i | 0.0895803 | − | 1.19537i | ||||
\(341\) | −3.18318 | + | 8.11062i | −0.172379 | + | 0.439214i | ||||
\(342\) | 22.6116 | − | 26.7266i | 1.22270 | − | 1.44521i | ||||
\(343\) | −16.6198 | − | 8.17200i | −0.897386 | − | 0.441246i | ||||
\(344\) | 86.0617i | 4.64014i | ||||||||
\(345\) | 3.57653 | − | 0.215945i | 0.192554 | − | 0.0116261i | ||||
\(346\) | 1.27780 | + | 0.0957582i | 0.0686952 | + | 0.00514799i | ||||
\(347\) | −2.44806 | + | 2.63838i | −0.131419 | + | 0.141636i | −0.795332 | − | 0.606174i | \(-0.792704\pi\) |
0.663914 | + | 0.747809i | \(0.268894\pi\) | |||||||
\(348\) | 5.90699 | − | 35.6739i | 0.316648 | − | 1.91232i | ||||
\(349\) | 9.08513 | − | 18.8655i | 0.486316 | − | 1.00985i | −0.503031 | − | 0.864268i | \(-0.667782\pi\) |
0.989347 | − | 0.145577i | \(-0.0465038\pi\) | |||||||
\(350\) | −4.83379 | + | 31.4867i | −0.258377 | + | 1.68304i | ||||
\(351\) | −12.0746 | + | 2.20864i | −0.644494 | + | 0.117888i | ||||
\(352\) | 35.8835 | + | 5.40856i | 1.91259 | + | 0.288277i | ||||
\(353\) | 23.5554 | − | 16.0598i | 1.25373 | − | 0.854778i | 0.259893 | − | 0.965637i | \(-0.416313\pi\) |
0.993836 | + | 0.110859i | \(0.0353603\pi\) | |||||||
\(354\) | −13.8961 | − | 21.0304i | −0.738569 | − | 1.11775i | ||||
\(355\) | 2.16849 | + | 2.33708i | 0.115092 | + | 0.124039i | ||||
\(356\) | −30.0315 | − | 37.6583i | −1.59166 | − | 1.99588i | ||||
\(357\) | −2.74326 | + | 29.7262i | −0.145189 | + | 1.57328i | ||||
\(358\) | −20.0593 | + | 25.1536i | −1.06017 | + | 1.32941i | ||||
\(359\) | −6.34851 | + | 0.475755i | −0.335061 | + | 0.0251094i | −0.241199 | − | 0.970476i | \(-0.577541\pi\) |
−0.0938627 | + | 0.995585i | \(0.529921\pi\) | |||||||
\(360\) | 8.75139 | + | 13.6711i | 0.461239 | + | 0.720533i | ||||
\(361\) | 0.196097 | − | 0.339650i | 0.0103209 | − | 0.0178763i | ||||
\(362\) | −19.6244 | − | 33.9905i | −1.03144 | − | 1.78650i | ||||
\(363\) | −4.11964 | − | 5.32232i | −0.216225 | − | 0.279349i | ||||
\(364\) | 30.5835 | + | 7.06836i | 1.60301 | + | 0.370483i | ||||
\(365\) | 2.10515 | + | 0.480486i | 0.110188 | + | 0.0251498i | ||||
\(366\) | 26.6894 | − | 24.0537i | 1.39508 | − | 1.25731i | ||||
\(367\) | −34.7720 | + | 13.6470i | −1.81508 | + | 0.712368i | −0.826259 | + | 0.563291i | \(0.809535\pi\) |
−0.988826 | + | 0.149077i | \(0.952370\pi\) | |||||||
\(368\) | 31.8632 | − | 12.5054i | 1.66099 | − | 0.651889i | ||||
\(369\) | −0.0640672 | + | 0.150280i | −0.00333520 | + | 0.00782324i | ||||
\(370\) | 1.59656 | + | 0.364404i | 0.0830010 | + | 0.0189444i | ||||
\(371\) | 24.1846 | − | 19.1789i | 1.25560 | − | 0.995716i | ||||
\(372\) | −22.4709 | + | 17.3932i | −1.16506 | + | 0.901794i | ||||
\(373\) | −0.673683 | − | 1.16685i | −0.0348820 | − | 0.0604174i | 0.848057 | − | 0.529904i | \(-0.177772\pi\) |
−0.882939 | + | 0.469487i | \(0.844439\pi\) | |||||||
\(374\) | 23.0220 | − | 39.8752i | 1.19044 | − | 2.06190i | ||||
\(375\) | 11.0657 | − | 1.50420i | 0.571433 | − | 0.0776767i | ||||
\(376\) | 62.6504 | − | 4.69499i | 3.23095 | − | 0.242126i | ||||
\(377\) | −6.12250 | + | 7.67738i | −0.315325 | + | 0.395405i | ||||
\(378\) | −19.1098 | − | 31.0165i | −0.982902 | − | 1.59532i | ||||
\(379\) | −8.98108 | − | 11.2619i | −0.461327 | − | 0.578486i | 0.495696 | − | 0.868496i | \(-0.334913\pi\) |
−0.957024 | + | 0.290010i | \(0.906341\pi\) | |||||||
\(380\) | 10.1629 | + | 10.9530i | 0.521347 | + | 0.561878i | ||||
\(381\) | −4.36409 | + | 2.88363i | −0.223579 | + | 0.147733i | ||||
\(382\) | 27.5164 | − | 18.7604i | 1.40786 | − | 0.959863i | ||||
\(383\) | 37.6103 | + | 5.66884i | 1.92180 | + | 0.289664i | 0.996073 | − | 0.0885335i | \(-0.0282180\pi\) |
0.925725 | + | 0.378198i | \(0.123456\pi\) | |||||||
\(384\) | 12.1571 | + | 9.98666i | 0.620392 | + | 0.509630i | ||||
\(385\) | 2.69641 | − | 3.93180i | 0.137422 | − | 0.200383i | ||||
\(386\) | −9.41024 | + | 19.5406i | −0.478969 | + | 0.994589i | ||||
\(387\) | −31.0675 | + | 8.60521i | −1.57925 | + | 0.437427i | ||||
\(388\) | −18.2662 | + | 19.6862i | −0.927324 | + | 0.999417i | ||||
\(389\) | −22.7660 | − | 1.70607i | −1.15428 | − | 0.0865014i | −0.516198 | − | 0.856469i | \(-0.672653\pi\) |
−0.638083 | + | 0.769968i | \(0.720272\pi\) | |||||||
\(390\) | −0.441483 | − | 7.31192i | −0.0223554 | − | 0.370253i | ||||
\(391\) | − | 19.9470i | − | 1.00876i | ||||||
\(392\) | 8.05293 | + | 55.4810i | 0.406734 | + | 2.80221i | ||||
\(393\) | −23.3347 | + | 10.8236i | −1.17708 | + | 0.545979i | ||||
\(394\) | −4.00621 | + | 10.2076i | −0.201830 | + | 0.514254i | ||||
\(395\) | −0.539772 | + | 7.20276i | −0.0271589 | + | 0.362410i | ||||
\(396\) | 4.83523 | + | 39.8950i | 0.242979 | + | 2.00480i | ||||
\(397\) | 21.7684 | − | 31.9283i | 1.09252 | − | 1.60244i | 0.344468 | − | 0.938798i | \(-0.388059\pi\) |
0.748054 | − | 0.663638i | \(-0.230988\pi\) | |||||||
\(398\) | 11.7523 | + | 5.65959i | 0.589087 | + | 0.283689i | ||||
\(399\) | −13.4691 | − | 15.0273i | −0.674300 | − | 0.752304i | ||||
\(400\) | 45.7615 | − | 22.0376i | 2.28807 | − | 1.10188i | ||||
\(401\) | 4.52207 | − | 30.0020i | 0.225821 | − | 1.49823i | −0.532546 | − | 0.846401i | \(-0.678765\pi\) |
0.758368 | − | 0.651827i | \(-0.225997\pi\) | |||||||
\(402\) | 41.7051 | + | 24.8913i | 2.08006 | + | 1.24147i | ||||
\(403\) | 7.63061 | − | 1.15013i | 0.380108 | − | 0.0572920i | ||||
\(404\) | 15.4682 | − | 14.3524i | 0.769574 | − | 0.714060i | ||||
\(405\) | −4.06012 | + | 4.52613i | −0.201749 | + | 0.224905i | ||||
\(406\) | −27.8258 | − | 8.66636i | −1.38097 | − | 0.430104i | ||||
\(407\) | 1.90750 | + | 1.52118i | 0.0945511 | + | 0.0754020i | ||||
\(408\) | 78.9059 | − | 44.0440i | 3.90643 | − | 2.18050i | ||||
\(409\) | −7.50572 | + | 24.3330i | −0.371134 | + | 1.20319i | 0.556865 | + | 0.830603i | \(0.312004\pi\) |
−0.927999 | + | 0.372584i | \(0.878472\pi\) | |||||||
\(410\) | −0.0844298 | − | 0.0487455i | −0.00416969 | − | 0.00240737i | ||||
\(411\) | −5.24835 | + | 7.46316i | −0.258882 | + | 0.368130i | ||||
\(412\) | −30.4342 | + | 6.94640i | −1.49938 | + | 0.342225i | ||||
\(413\) | −13.1082 | + | 6.26858i | −0.645014 | + | 0.308457i | ||||
\(414\) | 14.6193 | + | 19.4637i | 0.718501 | + | 0.956590i | ||||
\(415\) | −0.546414 | + | 0.168547i | −0.0268224 | + | 0.00827362i | ||||
\(416\) | −11.7421 | − | 29.9183i | −0.575703 | − | 1.46687i | ||||
\(417\) | 0.947624 | − | 0.992061i | 0.0464053 | − | 0.0485814i | ||||
\(418\) | 9.17438 | + | 29.7426i | 0.448734 | + | 1.45476i | ||||
\(419\) | 2.57304 | − | 11.2732i | 0.125701 | − | 0.550732i | −0.872381 | − | 0.488827i | \(-0.837425\pi\) |
0.998082 | − | 0.0619057i | \(-0.0197178\pi\) | |||||||
\(420\) | 14.1230 | − | 6.50407i | 0.689134 | − | 0.317366i | ||||
\(421\) | 2.96499 | + | 12.9905i | 0.144505 | + | 0.633116i | 0.994356 | + | 0.106094i | \(0.0338344\pi\) |
−0.849851 | + | 0.527022i | \(0.823308\pi\) | |||||||
\(422\) | 34.8719 | − | 20.1333i | 1.69754 | − | 0.980073i | ||||
\(423\) | 7.95919 | + | 22.1468i | 0.386989 | + | 1.07681i | ||||
\(424\) | −89.2837 | − | 27.5404i | −4.33600 | − | 1.33748i | ||||
\(425\) | −2.21189 | − | 29.5157i | −0.107293 | − | 1.43172i | ||||
\(426\) | −5.12531 | + | 21.0446i | −0.248322 | + | 1.01962i | ||||
\(427\) | −11.6200 | − | 17.1438i | −0.562333 | − | 0.829648i | ||||
\(428\) | 0.275903 | − | 0.220025i | 0.0133363 | − | 0.0106353i | ||||
\(429\) | 4.13394 | − | 10.1002i | 0.199589 | − | 0.487640i | ||||
\(430\) | −2.86728 | − | 19.0231i | −0.138272 | − | 0.917377i | ||||
\(431\) | 4.69420 | + | 6.88512i | 0.226111 | + | 0.331645i | 0.922484 | − | 0.386036i | \(-0.126156\pi\) |
−0.696372 | + | 0.717681i | \(0.745204\pi\) | |||||||
\(432\) | −23.5517 | + | 53.0975i | −1.13313 | + | 2.55465i | ||||
\(433\) | −8.79609 | − | 18.2653i | −0.422713 | − | 0.877772i | −0.998201 | − | 0.0599620i | \(-0.980902\pi\) |
0.575488 | − | 0.817810i | \(-0.304812\pi\) | |||||||
\(434\) | 11.3972 | + | 19.8656i | 0.547084 | + | 0.953578i | ||||
\(435\) | −0.0705012 | + | 4.86365i | −0.00338028 | + | 0.233194i | ||||
\(436\) | −29.6780 | − | 20.2341i | −1.42132 | − | 0.969038i | ||||
\(437\) | 9.88450 | + | 9.17147i | 0.472840 | + | 0.438731i | ||||
\(438\) | 5.16100 | + | 13.7320i | 0.246602 | + | 0.656140i | ||||
\(439\) | −26.6616 | − | 10.4639i | −1.27249 | − | 0.499414i | −0.369559 | − | 0.929207i | \(-0.620491\pi\) |
−0.902928 | + | 0.429793i | \(0.858587\pi\) | |||||||
\(440\) | −14.4318 | −0.688010 | ||||||||
\(441\) | −19.2229 | + | 8.45452i | −0.915378 | + | 0.402596i | ||||
\(442\) | −40.7800 | −1.93971 | ||||||||
\(443\) | −2.47552 | − | 0.971572i | −0.117616 | − | 0.0461608i | 0.305803 | − | 0.952095i | \(-0.401075\pi\) |
−0.423419 | + | 0.905934i | \(0.639170\pi\) | |||||||
\(444\) | 2.79936 | + | 7.44832i | 0.132852 | + | 0.353482i | ||||
\(445\) | 4.74970 | + | 4.40707i | 0.225157 | + | 0.208915i | ||||
\(446\) | 11.1061 | + | 7.57198i | 0.525887 | + | 0.358544i | ||||
\(447\) | 0.207983 | − | 14.3481i | 0.00983727 | − | 0.678641i | ||||
\(448\) | 26.6305 | − | 24.5745i | 1.25817 | − | 1.16104i | ||||
\(449\) | −6.98988 | − | 14.5146i | −0.329873 | − | 0.684988i | 0.668396 | − | 0.743806i | \(-0.266981\pi\) |
−0.998269 | + | 0.0588177i | \(0.981267\pi\) | |||||||
\(450\) | 23.7906 | + | 27.1794i | 1.12150 | + | 1.28125i | ||||
\(451\) | −0.0818199 | − | 0.120008i | −0.00385275 | − | 0.00565095i | ||||
\(452\) | 1.41077 | + | 9.35983i | 0.0663569 | + | 0.440249i | ||||
\(453\) | −13.3884 | + | 32.7108i | −0.629040 | + | 1.53689i | ||||
\(454\) | −52.4142 | + | 41.7989i | −2.45992 | + | 1.96172i | ||||
\(455\) | −4.20983 | − | 0.327040i | −0.197360 | − | 0.0153319i | ||||
\(456\) | −14.4549 | + | 59.3520i | −0.676911 | + | 2.77941i | ||||
\(457\) | 1.22816 | + | 16.3886i | 0.0574507 | + | 0.766627i | 0.949316 | + | 0.314325i | \(0.101778\pi\) |
−0.891865 | + | 0.452302i | \(0.850603\pi\) | |||||||
\(458\) | −58.0615 | − | 17.9096i | −2.71303 | − | 0.836860i | ||||
\(459\) | 23.7892 | + | 24.0804i | 1.11038 | + | 1.12398i | ||||
\(460\) | −8.99752 | + | 5.19472i | −0.419511 | + | 0.242205i | ||||
\(461\) | −5.25957 | − | 23.0437i | −0.244963 | − | 1.07325i | −0.936433 | − | 0.350846i | \(-0.885894\pi\) |
0.691470 | − | 0.722405i | \(-0.256963\pi\) | |||||||
\(462\) | 32.3852 | + | 0.557857i | 1.50670 | + | 0.0259538i | ||||
\(463\) | −3.02431 | + | 13.2504i | −0.140552 | + | 0.615797i | 0.854756 | + | 0.519031i | \(0.173707\pi\) |
−0.995307 | + | 0.0967659i | \(0.969150\pi\) | |||||||
\(464\) | 13.6967 | + | 44.4037i | 0.635854 | + | 2.06139i | ||||
\(465\) | 2.64029 | − | 2.76410i | 0.122440 | − | 0.128182i | ||||
\(466\) | −11.9518 | − | 30.4527i | −0.553656 | − | 1.41069i | ||||
\(467\) | −4.78769 | + | 1.47681i | −0.221548 | + | 0.0683385i | −0.403542 | − | 0.914961i | \(-0.632221\pi\) |
0.181994 | + | 0.983300i | \(0.441745\pi\) | |||||||
\(468\) | 28.4589 | − | 21.3757i | 1.31551 | − | 0.988092i | ||||
\(469\) | 17.5152 | − | 21.8408i | 0.808777 | − | 1.00851i | ||||
\(470\) | −13.6919 | + | 3.12508i | −0.631558 | + | 0.144149i | ||||
\(471\) | −3.46466 | + | 4.92676i | −0.159643 | + | 0.227013i | ||||
\(472\) | 38.0909 | + | 21.9918i | 1.75328 | + | 1.01225i | ||||
\(473\) | 8.44813 | − | 27.3882i | 0.388445 | − | 1.25931i | ||||
\(474\) | −42.8484 | + | 23.9173i | −1.96809 | + | 1.09856i | ||||
\(475\) | 15.6432 | + | 12.4750i | 0.717757 | + | 0.572392i | ||||
\(476\) | −31.4041 | − | 80.6631i | −1.43941 | − | 3.69719i | ||||
\(477\) | 1.01445 | − | 34.9843i | 0.0464483 | − | 1.60182i | ||||
\(478\) | −4.78630 | + | 4.44104i | −0.218920 | + | 0.203128i | ||||
\(479\) | −25.9108 | + | 3.90542i | −1.18389 | + | 0.178443i | −0.711333 | − | 0.702855i | \(-0.751908\pi\) |
−0.472560 | + | 0.881298i | \(0.656670\pi\) | |||||||
\(480\) | −13.6707 | − | 8.15922i | −0.623978 | − | 0.372416i | ||||
\(481\) | 0.322058 | − | 2.13672i | 0.0146846 | − | 0.0974259i | ||||
\(482\) | 42.6607 | − | 20.5443i | 1.94314 | − | 0.935767i | ||||
\(483\) | 12.2710 | − | 6.80561i | 0.558350 | − | 0.309666i | ||||
\(484\) | 17.5830 | + | 8.46751i | 0.799225 | + | 0.384887i | ||||
\(485\) | 2.03501 | − | 2.98482i | 0.0924052 | − | 0.135534i | ||||
\(486\) | −40.8616 | − | 6.06167i | −1.85352 | − | 0.274963i | ||||
\(487\) | 1.40664 | − | 18.7703i | 0.0637409 | − | 0.850563i | −0.870100 | − | 0.492875i | \(-0.835946\pi\) |
0.933841 | − | 0.357688i | \(-0.116435\pi\) | |||||||
\(488\) | −22.9044 | + | 58.3595i | −1.03683 | + | 2.64181i | ||||
\(489\) | 9.68533 | − | 4.49245i | 0.437986 | − | 0.203156i | ||||
\(490\) | −3.62846 | − | 11.9953i | −0.163917 | − | 0.541891i | ||||
\(491\) | − | 38.3551i | − | 1.73094i | −0.500961 | − | 0.865470i | \(-0.667020\pi\) | ||
0.500961 | − | 0.865470i | \(-0.332980\pi\) | |||||||
\(492\) | −0.0285493 | − | 0.472838i | −0.00128710 | − | 0.0213172i | ||||
\(493\) | 27.0033 | + | 2.02362i | 1.21617 | + | 0.0911393i | ||||
\(494\) | 18.7503 | − | 20.2080i | 0.843617 | − | 0.909203i | ||||
\(495\) | −1.44302 | − | 5.20976i | −0.0648590 | − | 0.234161i | ||||
\(496\) | 15.8440 | − | 32.9005i | 0.711419 | − | 1.47728i | ||||
\(497\) | 11.6099 | + | 4.59314i | 0.520773 | + | 0.206030i | ||||
\(498\) | −3.00187 | − | 2.46593i | −0.134517 | − | 0.110501i | ||||
\(499\) | −7.52940 | − | 1.13487i | −0.337062 | − | 0.0508040i | −0.0216695 | − | 0.999765i | \(-0.506898\pi\) |
−0.315393 | + | 0.948961i | \(0.602136\pi\) | |||||||
\(500\) | −26.7548 | + | 18.2411i | −1.19651 | + | 0.815768i | ||||
\(501\) | 6.96975 | − | 4.60535i | 0.311386 | − | 0.205752i | ||||
\(502\) | 54.7617 | + | 59.0190i | 2.44413 | + | 2.63415i | ||||
\(503\) | 5.46820 | + | 6.85690i | 0.243815 | + | 0.305734i | 0.888649 | − | 0.458589i | \(-0.151645\pi\) |
−0.644834 | + | 0.764323i | \(0.723073\pi\) | |||||||
\(504\) | 54.0165 | + | 33.5143i | 2.40609 | + | 1.49284i | ||||
\(505\) | −1.76978 | + | 2.21924i | −0.0787542 | + | 0.0987547i | ||||
\(506\) | −21.5820 | + | 1.61735i | −0.959438 | + | 0.0718999i | ||||
\(507\) | 12.7338 | − | 1.73095i | 0.565529 | − | 0.0768741i | ||||
\(508\) | 7.58355 | − | 13.1351i | 0.336466 | − | 0.582776i | ||||
\(509\) | 0.632401 | + | 1.09535i | 0.0280307 | + | 0.0485505i | 0.879700 | − | 0.475528i | \(-0.157743\pi\) |
−0.851670 | + | 0.524079i | \(0.824410\pi\) | |||||||
\(510\) | −15.9740 | + | 12.3644i | −0.707342 | + | 0.547504i | ||||
\(511\) | 8.24927 | − | 1.85917i | 0.364926 | − | 0.0822447i | ||||
\(512\) | 26.2924 | + | 6.00106i | 1.16197 | + | 0.265212i | ||||
\(513\) | −22.8709 | + | 0.716464i | −1.00977 | + | 0.0316327i | ||||
\(514\) | 36.5216 | − | 14.3337i | 1.61090 | − | 0.632232i | ||||
\(515\) | 3.90898 | − | 1.53416i | 0.172250 | − | 0.0676033i | ||||
\(516\) | 69.4367 | − | 62.5796i | 3.05678 | − | 2.75492i | ||||
\(517\) | −20.3986 | − | 4.65586i | −0.897131 | − | 0.204764i | ||||
\(518\) | 6.25630 | − | 1.41000i | 0.274886 | − | 0.0619520i | ||||
\(519\) | −0.512648 | − | 0.662310i | −0.0225027 | − | 0.0290722i | ||||
\(520\) | 6.39095 | + | 11.0695i | 0.280262 | + | 0.485428i | ||||
\(521\) | −6.19777 | + | 10.7348i | −0.271529 | + | 0.470302i | −0.969254 | − | 0.246064i | \(-0.920863\pi\) |
0.697724 | + | 0.716366i | \(0.254196\pi\) | |||||||
\(522\) | −27.8322 | + | 17.8164i | −1.21818 | + | 0.779803i | ||||
\(523\) | −11.8805 | + | 0.890317i | −0.519496 | + | 0.0389309i | −0.331899 | − | 0.943315i | \(-0.607689\pi\) |
−0.187598 | + | 0.982246i | \(0.560070\pi\) | |||||||
\(524\) | 46.5036 | − | 58.3137i | 2.03152 | − | 2.54745i | ||||
\(525\) | 17.4028 | − | 11.4310i | 0.759521 | − | 0.498890i | ||||
\(526\) | 0.120988 | + | 0.151714i | 0.00527534 | + | 0.00661507i | ||||
\(527\) | −14.4741 | − | 15.5993i | −0.630500 | − | 0.679517i | ||||
\(528\) | −28.4703 | − | 43.0871i | −1.23901 | − | 1.87512i | ||||
\(529\) | 11.2568 | − | 7.67473i | 0.489424 | − | 0.333684i | ||||
\(530\) | 20.6529 | + | 3.11292i | 0.897104 | + | 0.135217i | ||||
\(531\) | −4.13017 | + | 15.9494i | −0.179234 | + | 0.692145i | ||||
\(532\) | 54.4110 | + | 21.5263i | 2.35902 | + | 0.933285i | ||||
\(533\) | −0.0558151 | + | 0.115901i | −0.00241762 | + | 0.00502024i | ||||
\(534\) | −7.19098 | + | 43.4283i | −0.311184 | + | 1.87932i | ||||
\(535\) | −0.0322883 | + | 0.0347986i | −0.00139595 | + | 0.00150447i | ||||
\(536\) | −84.5108 | − | 6.33321i | −3.65031 | − | 0.273553i | ||||
\(537\) | 20.9903 | − | 1.26736i | 0.905797 | − | 0.0546907i | ||||
\(538\) | − | 6.24360i | − | 0.269181i | ||||||
\(539\) | 2.88347 | − | 18.4467i | 0.124200 | − | 0.794556i | ||||
\(540\) | 4.66666 | − | 17.0018i | 0.200821 | − | 0.731641i | ||||
\(541\) | −5.31788 | + | 13.5497i | −0.228633 | + | 0.582548i | −0.998446 | − | 0.0557211i | \(-0.982254\pi\) |
0.769813 | + | 0.638270i | \(0.220349\pi\) | |||||||
\(542\) | −4.00119 | + | 53.3921i | −0.171866 | + | 2.29339i | ||||
\(543\) | −7.91604 | + | 24.4017i | −0.339710 | + | 1.04718i | ||||
\(544\) | −49.9270 | + | 73.2295i | −2.14060 | + | 3.13969i | ||||
\(545\) | 4.35334 | + | 2.09646i | 0.186477 | + | 0.0898024i | ||||
\(546\) | −13.9135 | − | 25.0871i | −0.595443 | − | 1.07363i | ||||
\(547\) | −12.3973 | + | 5.97023i | −0.530071 | + | 0.255269i | −0.679722 | − | 0.733470i | \(-0.737899\pi\) |
0.149651 | + | 0.988739i | \(0.452185\pi\) | |||||||
\(548\) | 3.94299 | − | 26.1600i | 0.168436 | − | 1.11750i | ||||
\(549\) | −23.3574 | − | 2.43298i | −0.996871 | − | 0.103837i | ||||
\(550\) | −31.7557 | + | 4.78640i | −1.35407 | + | 0.204093i | ||||
\(551\) | −13.4187 | + | 12.4507i | −0.571656 | + | 0.530420i | ||||
\(552\) | −37.9982 | − | 18.9823i | −1.61731 | − | 0.807939i | ||||
\(553\) | 10.2623 | + | 26.3593i | 0.436398 | + | 1.12091i | ||||
\(554\) | 32.6698 | + | 26.0533i | 1.38801 | + | 1.10690i | ||||
\(555\) | −0.521693 | − | 0.934626i | −0.0221446 | − | 0.0396727i | ||||
\(556\) | −1.17255 | + | 3.80132i | −0.0497272 | + | 0.161212i | ||||
\(557\) | −5.16489 | − | 2.98195i | −0.218844 | − | 0.126349i | 0.386571 | − | 0.922260i | \(-0.373659\pi\) |
−0.605415 | + | 0.795910i | \(0.706993\pi\) | |||||||
\(558\) | 25.5563 | + | 4.61321i | 1.08188 | + | 0.195293i | ||||
\(559\) | −24.7483 | + | 5.64864i | −1.04674 | + | 0.238912i | ||||
\(560\) | −12.5008 | + | 15.5880i | −0.528255 | + | 0.658715i | ||||
\(561\) | −29.4344 | + | 6.27080i | −1.24272 | + | 0.264753i | ||||
\(562\) | 69.5693 | − | 21.4593i | 2.93460 | − | 0.905205i | ||||
\(563\) | −7.35118 | − | 18.7305i | −0.309815 | − | 0.789397i | −0.997961 | − | 0.0638242i | \(-0.979670\pi\) |
0.688146 | − | 0.725572i | \(-0.258425\pi\) | |||||||
\(564\) | −49.3441 | − | 47.1339i | −2.07776 | − | 1.98470i | ||||
\(565\) | −0.375311 | − | 1.21673i | −0.0157894 | − | 0.0511881i | ||||
\(566\) | −16.9886 | + | 74.4319i | −0.714084 | + | 3.12861i | ||||
\(567\) | −6.69730 | + | 22.8505i | −0.281260 | + | 0.959632i | ||||
\(568\) | −8.41005 | − | 36.8468i | −0.352878 | − | 1.54606i | ||||
\(569\) | 4.52126 | − | 2.61035i | 0.189541 | − | 0.109432i | −0.402227 | − | 0.915540i | \(-0.631764\pi\) |
0.591768 | + | 0.806109i | \(0.298430\pi\) | |||||||
\(570\) | 1.21771 | − | 13.6008i | 0.0510043 | − | 0.569674i | ||||
\(571\) | −6.00208 | − | 1.85140i | −0.251179 | − | 0.0774785i | 0.166609 | − | 0.986023i | \(-0.446718\pi\) |
−0.417788 | + | 0.908545i | \(0.637195\pi\) | |||||||
\(572\) | 2.36481 | + | 31.5562i | 0.0988777 | + | 1.31943i | ||||
\(573\) | −21.1493 | − | 5.15079i | −0.883523 | − | 0.215177i | ||||
\(574\) | −0.380647 | − | 0.0295706i | −0.0158879 | − | 0.00123425i | ||||
\(575\) | −10.8772 | + | 8.67428i | −0.453611 | + | 0.361742i | ||||
\(576\) | −1.88163 | − | 41.0453i | −0.0784014 | − | 1.71022i | ||||
\(577\) | −1.85573 | − | 12.3119i | −0.0772550 | − | 0.512553i | −0.993671 | − | 0.112327i | \(-0.964170\pi\) |
0.916416 | − | 0.400226i | \(-0.131068\pi\) | |||||||
\(578\) | 37.9713 | + | 55.6936i | 1.57940 | + | 2.31655i | ||||
\(579\) | 13.6052 | − | 3.98163i | 0.565413 | − | 0.165471i | ||||
\(580\) | −6.11958 | − | 12.7074i | −0.254102 | − | 0.527648i | ||||
\(581\) | −1.64571 | + | 1.51866i | −0.0682757 | + | 0.0630047i | ||||
\(582\) | 24.5404 | + | 0.355726i | 1.01723 | + | 0.0147453i | ||||
\(583\) | 25.7101 | + | 17.5288i | 1.06480 | + | 0.725970i | ||||
\(584\) | −18.7643 | − | 17.4108i | −0.776474 | − | 0.720463i | ||||
\(585\) | −3.35695 | + | 3.41390i | −0.138793 | + | 0.141147i | ||||
\(586\) | −4.16852 | − | 1.63602i | −0.172200 | − | 0.0675835i | ||||
\(587\) | 13.1666 | 0.543443 | 0.271721 | − | 0.962376i | \(-0.412407\pi\) | ||||
0.271721 | + | 0.962376i | \(0.412407\pi\) | |||||||
\(588\) | 38.9078 | − | 46.8402i | 1.60453 | − | 1.93166i | ||||
\(589\) | 14.3851 | 0.592729 | ||||||||
\(590\) | −9.15232 | − | 3.59202i | −0.376795 | − | 0.147881i | ||||
\(591\) | 6.70912 | − | 2.52154i | 0.275976 | − | 0.103722i | ||||
\(592\) | −7.49575 | − | 6.95504i | −0.308073 | − | 0.285850i | ||||
\(593\) | 4.31744 | + | 2.94358i | 0.177296 | + | 0.120878i | 0.648716 | − | 0.761030i | \(-0.275306\pi\) |
−0.471420 | + | 0.881909i | \(0.656259\pi\) | |||||||
\(594\) | 24.1254 | − | 27.6917i | 0.989876 | − | 1.13620i | ||||
\(595\) | 5.79449 | + | 10.0999i | 0.237551 | + | 0.414056i | ||||
\(596\) | 18.0532 | + | 37.4878i | 0.739486 | + | 1.53556i | ||||
\(597\) | −2.39466 | − | 8.18255i | −0.0980071 | − | 0.334889i | ||||
\(598\) | 10.7979 | + | 15.8376i | 0.441557 | + | 0.647646i | ||||
\(599\) | 6.00398 | + | 39.8338i | 0.245316 | + | 1.62757i | 0.684391 | + | 0.729115i | \(0.260068\pi\) |
−0.439075 | + | 0.898451i | \(0.644694\pi\) | |||||||
\(600\) | −58.3310 | − | 23.8746i | −2.38135 | − | 0.974676i | ||||
\(601\) | 28.7726 | − | 22.9454i | 1.17366 | − | 0.935961i | 0.174841 | − | 0.984597i | \(-0.444059\pi\) |
0.998817 | + | 0.0486359i | \(0.0154874\pi\) | |||||||
\(602\) | −42.2704 | − | 62.3643i | −1.72281 | − | 2.54178i | ||||
\(603\) | −6.16391 | − | 31.1409i | −0.251014 | − | 1.26815i | ||||
\(604\) | −7.65878 | − | 102.199i | −0.311631 | − | 4.15843i | ||||
\(605\) | −2.50859 | − | 0.773798i | −0.101989 | − | 0.0314594i | ||||
\(606\) | −19.2075 | − | 1.71970i | −0.780252 | − | 0.0698579i | ||||
\(607\) | 14.5107 | − | 8.37775i | 0.588970 | − | 0.340042i | −0.175720 | − | 0.984440i | \(-0.556225\pi\) |
0.764690 | + | 0.644398i | \(0.222892\pi\) | |||||||
\(608\) | −13.3320 | − | 58.4111i | −0.540682 | − | 2.36888i | ||||
\(609\) | 7.96823 | + | 17.3024i | 0.322889 | + | 0.701127i | ||||
\(610\) | 3.11847 | − | 13.6629i | 0.126263 | − | 0.553196i | ||||
\(611\) | 5.46216 | + | 17.7079i | 0.220975 | + | 0.716385i | ||||
\(612\) | −92.9121 | − | 31.6367i | −3.75575 | − | 1.27884i | ||||
\(613\) | 8.92722 | + | 22.7462i | 0.360567 | + | 0.918709i | 0.989925 | + | 0.141594i | \(0.0452227\pi\) |
−0.629358 | + | 0.777116i | \(0.716682\pi\) | |||||||
\(614\) | −5.47935 | + | 1.69015i | −0.221128 | + | 0.0682091i | ||||
\(615\) | 0.0132775 | + | 0.0623229i | 0.000535399 | + | 0.00251310i | ||||
\(616\) | −50.9875 | + | 24.3831i | −2.05435 | + | 0.982423i | ||||
\(617\) | −23.0010 | + | 5.24983i | −0.925986 | + | 0.211350i | −0.658820 | − | 0.752300i | \(-0.728944\pi\) |
−0.267166 | + | 0.963651i | \(0.586087\pi\) | |||||||
\(618\) | 23.3364 | + | 16.4110i | 0.938729 | + | 0.660146i | ||||
\(619\) | −9.19112 | − | 5.30650i | −0.369422 | − | 0.213286i | 0.303784 | − | 0.952741i | \(-0.401750\pi\) |
−0.673206 | + | 0.739455i | \(0.735083\pi\) | |||||||
\(620\) | −3.26699 | + | 10.5913i | −0.131205 | + | 0.425357i | ||||
\(621\) | 3.05303 | − | 15.6150i | 0.122514 | − | 0.626608i | ||||
\(622\) | 15.3495 | + | 12.2408i | 0.615458 | + | 0.490812i | ||||
\(623\) | 24.2266 | + | 7.54538i | 0.970617 | + | 0.302299i | ||||
\(624\) | −20.4408 | + | 40.9178i | −0.818286 | + | 1.63802i | ||||
\(625\) | −13.4603 | + | 12.4893i | −0.538410 | + | 0.499572i | ||||
\(626\) | 72.2953 | − | 10.8968i | 2.88950 | − | 0.435522i | ||||
\(627\) | 10.4263 | − | 17.4692i | 0.416387 | − | 0.697651i | ||||
\(628\) | 2.60294 | − | 17.2694i | 0.103869 | − | 0.689124i | ||||
\(629\) | −5.36869 | + | 2.58543i | −0.214064 | + | 0.103088i | ||||
\(630\) | −13.0564 | − | 5.60838i | −0.520180 | − | 0.223443i | ||||
\(631\) | 8.89686 | + | 4.28450i | 0.354178 | + | 0.170563i | 0.602509 | − | 0.798112i | \(-0.294168\pi\) |
−0.248331 | + | 0.968675i | \(0.579882\pi\) | |||||||
\(632\) | 48.2346 | − | 70.7472i | 1.91867 | − | 2.81417i | ||||
\(633\) | −25.0345 | − | 8.12131i | −0.995030 | − | 0.322793i | ||||
\(634\) | −5.19023 | + | 69.2588i | −0.206130 | + | 2.75062i | ||||
\(635\) | −0.745393 | + | 1.89923i | −0.0295800 | + | 0.0753686i | ||||
\(636\) | 42.7023 | + | 92.0623i | 1.69326 | + | 3.65051i | ||||
\(637\) | −15.4258 | + | 5.95723i | −0.611194 | + | 0.236034i | ||||
\(638\) | − | 29.3809i | − | 1.16320i | ||||||
\(639\) | 12.4605 | − | 6.72022i | 0.492928 | − | 0.265848i | ||||
\(640\) | 6.11958 | + | 0.458599i | 0.241898 | + | 0.0181277i | ||||
\(641\) | 8.92725 | − | 9.62129i | 0.352605 | − | 0.380018i | −0.531696 | − | 0.846935i | \(-0.678445\pi\) |
0.884301 | + | 0.466917i | \(0.154635\pi\) | |||||||
\(642\) | −0.318176 | − | 0.0526846i | −0.0125574 | − | 0.00207930i | ||||
\(643\) | −7.75750 | + | 16.1086i | −0.305926 | + | 0.635262i | −0.996085 | − | 0.0883956i | \(-0.971826\pi\) |
0.690160 | + | 0.723657i | \(0.257540\pi\) | |||||||
\(644\) | −23.0115 | + | 33.5545i | −0.906780 | + | 1.32223i | ||||
\(645\) | −7.98158 | + | 9.71627i | −0.314274 | + | 0.382578i | ||||
\(646\) | −75.1701 | − | 11.3301i | −2.95753 | − | 0.445776i | ||||
\(647\) | −31.4575 | + | 21.4474i | −1.23672 | + | 0.843183i | −0.991979 | − | 0.126404i | \(-0.959656\pi\) |
−0.244744 | + | 0.969588i | \(0.578704\pi\) | |||||||
\(648\) | 68.5108 | − | 22.4016i | 2.69136 | − | 0.880018i | ||||
\(649\) | −9.96320 | − | 10.7378i | −0.391090 | − | 0.421494i | ||||
\(650\) | 17.7339 | + | 22.2376i | 0.695579 | + | 0.872229i | ||||
\(651\) | 4.65808 | − | 14.2264i | 0.182564 | − | 0.557577i | ||||
\(652\) | −19.3018 | + | 24.2037i | −0.755918 | + | 0.947892i | ||||
\(653\) | 9.97916 | − | 0.747834i | 0.390515 | − | 0.0292650i | 0.121974 | − | 0.992533i | \(-0.461078\pi\) |
0.268541 | + | 0.963268i | \(0.413459\pi\) | |||||||
\(654\) | 4.42158 | + | 32.5276i | 0.172897 | + | 1.27193i | ||||
\(655\) | −5.01662 | + | 8.68905i | −0.196016 | + | 0.339509i | ||||
\(656\) | 0.304371 | + | 0.527186i | 0.0118837 | + | 0.0205832i | ||||
\(657\) | 4.40890 | − | 8.51464i | 0.172008 | − | 0.332188i | ||||
\(658\) | −43.0933 | + | 34.1738i | −1.67995 | + | 1.33223i | ||||
\(659\) | −26.9854 | − | 6.15925i | −1.05120 | − | 0.239930i | −0.338188 | − | 0.941079i | \(-0.609814\pi\) |
−0.713016 | + | 0.701148i | \(0.752671\pi\) | |||||||
\(660\) | 10.4941 | + | 11.6440i | 0.408481 | + | 0.453240i | ||||
\(661\) | 32.7427 | − | 12.8506i | 1.27355 | − | 0.499830i | 0.370283 | − | 0.928919i | \(-0.379261\pi\) |
0.903262 | + | 0.429089i | \(0.141165\pi\) | |||||||
\(662\) | −34.9011 | + | 13.6977i | −1.35647 | + | 0.532375i | ||||
\(663\) | 17.8445 | + | 19.7998i | 0.693022 | + | 0.768959i | ||||
\(664\) | 6.60876 | + | 1.50841i | 0.256470 | + | 0.0585375i | ||||
\(665\) | −7.66915 | − | 1.77247i | −0.297397 | − | 0.0687335i | ||||
\(666\) | 3.34374 | − | 6.45756i | 0.129567 | − | 0.250225i | ||||
\(667\) | −6.36413 | − | 11.0230i | −0.246420 | − | 0.426812i | ||||
\(668\) | −12.1115 | + | 20.9777i | −0.468607 | + | 0.811651i | ||||
\(669\) | −1.18338 | − | 8.70563i | −0.0457523 | − | 0.336579i | ||||
\(670\) | 18.8913 | − | 1.41571i | 0.729835 | − | 0.0546936i | ||||
\(671\) | 13.0179 | − | 16.3239i | 0.502549 | − | 0.630176i | ||||
\(672\) | −62.0837 | − | 5.72936i | −2.39493 | − | 0.221015i | ||||
\(673\) | −16.5406 | − | 20.7412i | −0.637592 | − | 0.799516i | 0.353107 | − | 0.935583i | \(-0.385125\pi\) |
−0.990700 | + | 0.136067i | \(0.956554\pi\) | |||||||
\(674\) | 37.0142 | + | 39.8918i | 1.42573 | + | 1.53657i | ||||
\(675\) | 2.78606 | − | 23.4441i | 0.107235 | − | 0.902365i | ||||
\(676\) | −30.7879 | + | 20.9908i | −1.18415 | + | 0.807340i | ||||
\(677\) | −50.4824 | − | 7.60900i | −1.94020 | − | 0.292438i | −0.941226 | − | 0.337776i | \(-0.890325\pi\) |
−0.998972 | + | 0.0453384i | \(0.985563\pi\) | |||||||
\(678\) | 5.49100 | − | 6.68440i | 0.210881 | − | 0.256713i | ||||
\(679\) | 2.14673 | − | 13.9836i | 0.0823841 | − | 0.536640i | ||||
\(680\) | 15.2934 | − | 31.7570i | 0.586473 | − | 1.21782i | ||||
\(681\) | 43.2298 | + | 7.15813i | 1.65657 | + | 0.274300i | ||||
\(682\) | −15.7044 | + | 16.9253i | −0.601352 | + | 0.648104i | ||||
\(683\) | 6.11430 | + | 0.458204i | 0.233957 | + | 0.0175327i | 0.191193 | − | 0.981553i | \(-0.438764\pi\) |
0.0427645 | + | 0.999085i | \(0.486383\pi\) | |||||||
\(684\) | 58.3975 | − | 31.4952i | 2.23288 | − | 1.20425i | ||||
\(685\) | 3.55877i | 0.135974i | ||||||||
\(686\) | −33.0858 | − | 36.2488i | −1.26322 | − | 1.38399i | ||||
\(687\) | 16.7109 | + | 36.0272i | 0.637561 | + | 1.37453i | ||||
\(688\) | −43.8861 | + | 111.820i | −1.67314 | + | 4.26310i | ||||
\(689\) | 2.05953 | − | 27.4825i | 0.0784617 | − | 1.04700i | ||||
\(690\) | 9.03156 | + | 2.92989i | 0.343826 | + | 0.111539i | ||||
\(691\) | 11.2718 | − | 16.5327i | 0.428800 | − | 0.628934i | −0.549656 | − | 0.835391i | \(-0.685241\pi\) |
0.978456 | + | 0.206457i | \(0.0661935\pi\) | |||||||
\(692\) | 2.18802 | + | 1.05370i | 0.0831762 | + | 0.0400555i | ||||
\(693\) | −13.9003 | − | 15.9680i | −0.528027 | − | 0.606574i | ||||
\(694\) | −8.59313 | + | 4.13823i | −0.326191 | + | 0.157085i | ||||
\(695\) | 0.0797560 | − | 0.529147i | 0.00302532 | − | 0.0200717i | ||||
\(696\) | 29.5522 | − | 49.5145i | 1.12018 | − | 1.87684i | ||||
\(697\) | 0.350779 | − | 0.0528715i | 0.0132867 | − | 0.00200265i | ||||
\(698\) | 40.6754 | − | 37.7412i | 1.53959 | − | 1.42853i | ||||
\(699\) | −9.55572 | + | 19.1284i | −0.361430 | + | 0.723501i | ||||
\(700\) | −30.3294 | + | 52.2025i | −1.14634 | + | 1.97307i | ||||
\(701\) | 28.7993 | + | 22.9667i | 1.08773 | + | 0.867439i | 0.991781 | − | 0.127947i | \(-0.0408387\pi\) |
0.0959529 | + | 0.995386i | \(0.469410\pi\) | |||||||
\(702\) | −31.9236 | − | 6.24167i | −1.20488 | − | 0.235577i | ||||
\(703\) | 1.18731 | − | 3.84915i | 0.0447801 | − | 0.145174i | ||||
\(704\) | 31.6367 | + | 18.2655i | 1.19235 | + | 0.688406i | ||||
\(705\) | 7.50858 | + | 5.28029i | 0.282789 | + | 0.198867i | ||||
\(706\) | 73.6541 | − | 16.8111i | 2.77201 | − | 0.632693i | ||||
\(707\) | −2.50315 | + | 10.8307i | −0.0941406 | + | 0.407329i | ||||
\(708\) | −9.95422 | − | 46.7240i | −0.374102 | − | 1.75599i | ||||
\(709\) | 29.2555 | − | 9.02413i | 1.09871 | − | 0.338908i | 0.308181 | − | 0.951328i | \(-0.400280\pi\) |
0.790533 | + | 0.612419i | \(0.209804\pi\) | |||||||
\(710\) | 3.08657 | + | 7.86445i | 0.115837 | + | 0.295148i | ||||
\(711\) | 30.3620 | + | 10.3383i | 1.13867 | + | 0.387718i | ||||
\(712\) | −22.6403 | − | 73.3979i | −0.848480 | − | 2.75070i | ||||
\(713\) | −2.22576 | + | 9.75167i | −0.0833552 | + | 0.365203i | ||||
\(714\) | −35.5461 | + | 70.6720i | −1.33028 | + | 2.64483i | ||||
\(715\) | −0.947230 | − | 4.15009i | −0.0354244 | − | 0.155204i | ||||
\(716\) | −52.8055 | + | 30.4873i | −1.97343 | + | 1.13936i | ||||
\(717\) | 4.25063 | + | 0.380569i | 0.158743 | + | 0.0142126i | ||||
\(718\) | −16.1209 | − | 4.97265i | −0.601628 | − | 0.185578i | ||||
\(719\) | 1.33051 | + | 17.7545i | 0.0496198 | + | 0.662130i | 0.965454 | + | 0.260573i | \(0.0839116\pi\) |
−0.915834 | + | 0.401556i | \(0.868469\pi\) | |||||||
\(720\) | 4.39925 | + | 22.2256i | 0.163950 | + | 0.828299i | ||||
\(721\) | 11.2184 | − | 12.0246i | 0.417794 | − | 0.447818i | ||||
\(722\) | 0.812556 | − | 0.647992i | 0.0302402 | − | 0.0241157i | ||||
\(723\) | −28.6422 | − | 11.7231i | −1.06522 | − | 0.435988i | ||||
\(724\) | −11.0866 | − | 73.5547i | −0.412030 | − | 2.73364i | ||||
\(725\) | −10.6394 | − | 15.6051i | −0.395136 | − | 0.579558i | ||||
\(726\) | −5.00948 | − | 17.1174i | −0.185919 | − | 0.635285i | ||||
\(727\) | −8.14567 | − | 16.9146i | −0.302106 | − | 0.627330i | 0.693553 | − | 0.720406i | \(-0.256044\pi\) |
−0.995659 | + | 0.0930760i | \(0.970330\pi\) | |||||||
\(728\) | 41.2814 | + | 28.3106i | 1.52999 | + | 1.04926i | ||||
\(729\) | 14.9371 | + | 22.4919i | 0.553226 | + | 0.833032i | ||||
\(730\) | 4.72775 | + | 3.22332i | 0.174982 | + | 0.119301i | ||||
\(731\) | 51.3147 | + | 47.6131i | 1.89794 | + | 1.76103i | ||||
\(732\) | 63.7408 | − | 23.9562i | 2.35593 | − | 0.885446i | ||||
\(733\) | −8.14770 | − | 3.19774i | −0.300942 | − | 0.118111i | 0.210065 | − | 0.977687i | \(-0.432632\pi\) |
−0.511008 | + | 0.859576i | \(0.670728\pi\) | |||||||
\(734\) | −98.9870 | −3.65368 | ||||||||
\(735\) | −4.23628 | + | 7.01059i | −0.156258 | + | 0.258590i | ||||
\(736\) | 41.6597 | 1.53560 | ||||||||
\(737\) | 26.2729 | + | 10.3114i | 0.967775 | + | 0.379824i | ||||
\(738\) | −0.303531 | + | 0.308680i | −0.0111731 | + | 0.0113627i | ||||
\(739\) | 10.9435 | + | 10.1541i | 0.402563 | + | 0.373524i | 0.855311 | − | 0.518114i | \(-0.173366\pi\) |
−0.452748 | + | 0.891638i | \(0.649556\pi\) | |||||||
\(740\) | 2.56436 | + | 1.74835i | 0.0942678 | + | 0.0642707i | ||||
\(741\) | −18.0163 | − | 0.261156i | −0.661845 | − | 0.00959380i | ||||
\(742\) | 78.2259 | − | 23.8959i | 2.87176 | − | 0.877245i | ||||
\(743\) | 0.335896 | + | 0.697495i | 0.0123228 | + | 0.0255886i | 0.907039 | − | 0.421046i | \(-0.138337\pi\) |
−0.894717 | + | 0.446634i | \(0.852623\pi\) | |||||||
\(744\) | −43.4901 | + | 12.7276i | −1.59442 | + | 0.466616i | ||||
\(745\) | −3.15296 | − | 4.62455i | −0.115516 | − | 0.169430i | ||||
\(746\) | −0.532150 | − | 3.53058i | −0.0194834 | − | 0.129264i | ||||
\(747\) | 0.116282 | + | 2.53652i | 0.00425452 | + | 0.0928066i | ||||
\(748\) | 68.2256 | − | 54.4081i | 2.49458 | − | 1.98936i | ||||
\(749\) | −0.0552811 | + | 0.177495i | −0.00201993 | + | 0.00648554i | ||||
\(750\) | 28.7530 | + | 7.00264i | 1.04991 | + | 0.255700i | ||||
\(751\) | 2.79664 | + | 37.3186i | 0.102051 | + | 1.36177i | 0.779591 | + | 0.626288i | \(0.215427\pi\) |
−0.677541 | + | 0.735485i | \(0.736954\pi\) | |||||||
\(752\) | 83.7958 | + | 25.8476i | 3.05572 | + | 0.942564i | ||||
\(753\) | 4.69273 | − | 52.4138i | 0.171013 | − | 1.91006i | ||||
\(754\) | −22.5356 | + | 13.0109i | −0.820699 | + | 0.473831i | ||||
\(755\) | 3.06774 | + | 13.4406i | 0.111647 | + | 0.489155i | ||||
\(756\) | −12.2379 | − | 67.9517i | −0.445087 | − | 2.47138i | ||||
\(757\) | −7.21546 | + | 31.6130i | −0.262250 | + | 1.14899i | 0.656554 | + | 0.754279i | \(0.272014\pi\) |
−0.918804 | + | 0.394714i | \(0.870844\pi\) | |||||||
\(758\) | −11.2512 | − | 36.4756i | −0.408663 | − | 1.32485i | ||||
\(759\) | 10.2291 | + | 9.77093i | 0.371293 | + | 0.354662i | ||||
\(760\) | 8.70503 | + | 22.1801i | 0.315765 | + | 0.804555i | ||||
\(761\) | −29.2338 | + | 9.01742i | −1.05972 | + | 0.326881i | −0.775153 | − | 0.631774i | \(-0.782327\pi\) |
−0.284570 | + | 0.958655i | \(0.591851\pi\) | |||||||
\(762\) | −13.5570 | + | 2.88822i | −0.491118 | + | 0.104629i | ||||
\(763\) | 18.9224 | + | 0.0516472i | 0.685036 | + | 0.00186975i | ||||
\(764\) | 61.5347 | − | 14.0449i | 2.22625 | − | 0.508126i | ||||
\(765\) | 12.9931 | + | 2.34542i | 0.469768 | + | 0.0847987i | ||||
\(766\) | 87.2881 | + | 50.3958i | 3.15385 | + | 1.82087i | ||||
\(767\) | −3.82398 | + | 12.3970i | −0.138076 | + | 0.447631i | ||||
\(768\) | −2.80389 | − | 5.02325i | −0.101177 | − | 0.181261i | ||||
\(769\) | −11.9280 | − | 9.51227i | −0.430135 | − | 0.343021i | 0.384369 | − | 0.923180i | \(-0.374419\pi\) |
−0.814504 | + | 0.580159i | \(0.802991\pi\) | |||||||
\(770\) | 10.4580 | − | 7.08838i | 0.376879 | − | 0.255448i | ||||
\(771\) | −22.9405 | − | 11.4601i | −0.826182 | − | 0.412725i | ||||
\(772\) | −30.1317 | + | 27.9582i | −1.08446 | + | 1.00624i | ||||
\(773\) | 4.64904 | − | 0.700730i | 0.167214 | − | 0.0252035i | −0.0649013 | − | 0.997892i | \(-0.520673\pi\) |
0.232116 | + | 0.972688i | \(0.425435\pi\) | |||||||
\(774\) | −84.9676 | − | 8.85049i | −3.05410 | − | 0.318124i | ||||
\(775\) | −2.21211 | + | 14.6764i | −0.0794615 | + | 0.527192i | ||||
\(776\) | −38.5843 | + | 18.5812i | −1.38510 | + | 0.667027i | ||||
\(777\) | −3.42222 | − | 2.42061i | −0.122771 | − | 0.0868389i | ||||
\(778\) | −54.5069 | − | 26.2491i | −1.95417 | − | 0.941077i | ||||
\(779\) | −0.135086 | + | 0.198135i | −0.00483995 | + | 0.00709891i | ||||
\(780\) | 4.28394 | − | 13.2055i | 0.153390 | − | 0.472833i | ||||
\(781\) | −0.940616 | + | 12.5516i | −0.0336579 | + | 0.449133i | ||||
\(782\) | 19.3114 | − | 49.2048i | 0.690576 | − | 1.75956i | ||||
\(783\) | 20.8292 | + | 5.71719i | 0.744373 | + | 0.204316i | ||||
\(784\) | −17.8287 | + | 76.1930i | −0.636739 | + | 2.72118i | ||||
\(785\) | 2.34930i | 0.0838502i | ||||||||
\(786\) | −68.0403 | + | 4.10817i | −2.42692 | + | 0.146534i | ||||
\(787\) | −23.0568 | − | 1.72787i | −0.821888 | − | 0.0615920i | −0.342854 | − | 0.939389i | \(-0.611394\pi\) |
−0.479034 | + | 0.877797i | \(0.659013\pi\) | |||||||
\(788\) | −14.1357 | + | 15.2346i | −0.503562 | + | 0.542710i | ||||
\(789\) | 0.0207194 | − | 0.125130i | 0.000737631 | − | 0.00445475i | ||||
\(790\) | −8.30477 | + | 17.2450i | −0.295470 | + | 0.613550i | ||||
\(791\) | −3.38168 | − | 3.66459i | −0.120239 | − | 0.130298i | ||||
\(792\) | −16.0652 | + | 62.0389i | −0.570854 | + | 2.20445i | ||||
\(793\) | −18.2855 | − | 2.75609i | −0.649336 | − | 0.0978717i | ||||
\(794\) | 84.6087 | − | 57.6852i | 3.00265 | − | 2.04717i | ||||
\(795\) | −7.52587 | − | 11.3897i | −0.266915 | − | 0.403950i | ||||
\(796\) | 16.8148 | + | 18.1221i | 0.595986 | + | 0.642320i | ||||
\(797\) | −15.7563 | − | 19.7578i | −0.558118 | − | 0.699858i | 0.420091 | − | 0.907482i | \(-0.361998\pi\) |
−0.978209 | + | 0.207624i | \(0.933427\pi\) | |||||||
\(798\) | −18.6769 | − | 50.1089i | −0.661154 | − | 1.77384i | ||||
\(799\) | 31.8615 | − | 39.9531i | 1.12718 | − | 1.41344i | ||||
\(800\) | 61.6440 | − | 4.61958i | 2.17945 | − | 0.163327i | ||||
\(801\) | 24.2322 | − | 15.5119i | 0.856203 | − | 0.548086i | ||||
\(802\) | 40.2010 | − | 69.6302i | 1.41955 | − | 2.45873i | ||||
\(803\) | 4.26244 | + | 7.38275i | 0.150418 | + | 0.260532i | ||||
\(804\) | 56.3421 | + | 72.7906i | 1.98703 | + | 2.56712i | ||||
\(805\) | 2.38818 | − | 4.92467i | 0.0841722 | − | 0.173572i | ||||
\(806\) | 19.9365 | + | 4.55038i | 0.702233 | + | 0.160280i | ||||
\(807\) | −3.03143 | + | 2.73207i | −0.106711 | + | 0.0961734i | ||||
\(808\) | 31.3235 | − | 12.2936i | 1.10196 | − | 0.432486i | ||||
\(809\) | 39.1039 | − | 15.3472i | 1.37482 | − | 0.539577i | 0.441061 | − | 0.897477i | \(-0.354602\pi\) |
0.933760 | + | 0.357900i | \(0.116507\pi\) | |||||||
\(810\) | −14.3973 | + | 7.23421i | −0.505870 | + | 0.254184i | ||||
\(811\) | 32.1354 | + | 7.33470i | 1.12843 | + | 0.257556i | 0.745685 | − | 0.666299i | \(-0.232122\pi\) |
0.382743 | + | 0.923855i | \(0.374980\pi\) | |||||||
\(812\) | −43.0901 | − | 34.5561i | −1.51217 | − | 1.21268i | ||||
\(813\) | 27.6741 | − | 21.4206i | 0.970574 | − | 0.751254i | ||||
\(814\) | 3.23266 | + | 5.59913i | 0.113305 | + | 0.196249i | ||||
\(815\) | 2.08220 | − | 3.60648i | 0.0729364 | − | 0.126330i | ||||
\(816\) | 124.982 | − | 16.9892i | 4.37525 | − | 0.594742i | ||||
\(817\) | −47.1882 | + | 3.53627i | −1.65091 | + | 0.123718i | ||||
\(818\) | −42.0726 | + | 52.7574i | −1.47103 | + | 1.84462i | ||||
\(819\) | −6.09217 | + | 17.7330i | −0.212878 | + | 0.619640i | ||||
\(820\) | −0.115201 | − | 0.144457i | −0.00402299 | − | 0.00504467i | ||||
\(821\) | 16.5754 | + | 17.8640i | 0.578484 | + | 0.623458i | 0.952710 | − | 0.303880i | \(-0.0982821\pi\) |
−0.374226 | + | 0.927338i | \(0.622092\pi\) | |||||||
\(822\) | −20.1719 | + | 13.3288i | −0.703575 | + | 0.464896i | ||||
\(823\) | −44.2340 | + | 30.1583i | −1.54190 | + | 1.05125i | −0.568349 | + | 0.822788i | \(0.692418\pi\) |
−0.973553 | + | 0.228463i | \(0.926630\pi\) | |||||||
\(824\) | −49.2248 | − | 7.41944i | −1.71483 | − | 0.258468i | ||||
\(825\) | 16.2196 | + | 13.3238i | 0.564693 | + | 0.463875i | ||||
\(826\) | −38.4040 | + | 2.77259i | −1.33624 | + | 0.0964708i | ||||
\(827\) | 5.80219 | − | 12.0484i | 0.201762 | − | 0.418963i | −0.775397 | − | 0.631475i | \(-0.782450\pi\) |
0.977159 | + | 0.212511i | \(0.0681643\pi\) | |||||||
\(828\) | 12.3149 | + | 44.4608i | 0.427974 | + | 1.54512i | ||||
\(829\) | −34.1336 | + | 36.7873i | −1.18551 | + | 1.27768i | −0.233240 | + | 0.972419i | \(0.574933\pi\) |
−0.952270 | + | 0.305257i | \(0.901258\pi\) | |||||||
\(830\) | −1.51106 | − | 0.113238i | −0.0524496 | − | 0.00393056i | ||||
\(831\) | −1.64607 | − | 27.2625i | −0.0571014 | − | 0.945724i | ||||
\(832\) | − | 32.3545i | − | 1.12169i | ||||||
\(833\) | 37.5361 | + | 25.8929i | 1.30055 | + | 0.897137i | ||||
\(834\) | 3.29803 | − | 1.52976i | 0.114201 | − | 0.0529713i | ||||
\(835\) | 1.19044 | − | 3.03320i | 0.0411970 | − | 0.104968i | ||||
\(836\) | −4.40832 | + | 58.8249i | −0.152465 | + | 2.03450i | ||||
\(837\) | −8.94307 | − | 14.4269i | −0.309118 | − | 0.498667i | ||||
\(838\) | 17.2611 | − | 25.3174i | 0.596276 | − | 0.874576i | ||||
\(839\) | −46.6556 | − | 22.4682i | −1.61073 | − | 0.775687i | −0.610860 | − | 0.791739i | \(-0.709176\pi\) |
−0.999871 | + | 0.0160518i | \(0.994890\pi\) | |||||||
\(840\) | 24.7541 | − | 1.42682i | 0.854099 | − | 0.0492299i | ||||
\(841\) | −10.5600 | + | 5.08544i | −0.364139 | + | 0.175360i | ||||
\(842\) | −5.26260 | + | 34.9151i | −0.181361 | + | 1.20325i | ||||
\(843\) | −40.8611 | − | 24.3876i | −1.40733 | − | 0.839953i | ||||
\(844\) | 75.4620 | − | 11.3741i | 2.59751 | − | 0.391512i | ||||
\(845\) | 3.67446 | − | 3.40940i | 0.126405 | − | 0.117287i | ||||
\(846\) | −1.80759 | + | 62.3367i | −0.0621461 | + | 2.14318i | ||||
\(847\) | −10.1702 | + | 1.50453i | −0.349452 | + | 0.0516964i | ||||
\(848\) | −101.963 | − | 81.3124i | −3.50141 | − | 2.79228i | ||||
\(849\) | 43.5725 | − | 24.3214i | 1.49540 | − | 0.834710i | ||||
\(850\) | 23.1190 | − | 74.9500i | 0.792975 | − | 2.57076i | ||||
\(851\) | 2.42563 | + | 1.40044i | 0.0831496 | + | 0.0480064i | ||||
\(852\) | −23.6136 | + | 33.5786i | −0.808988 | + | 1.15038i | ||||
\(853\) | −7.33910 | + | 1.67510i | −0.251286 | + | 0.0573544i | −0.346308 | − | 0.938121i | \(-0.612565\pi\) |
0.0950224 | + | 0.995475i | \(0.469708\pi\) | |||||||
\(854\) | −12.0665 | − | 53.5398i | −0.412906 | − | 1.83209i | ||||
\(855\) | −7.13639 | + | 5.36019i | −0.244059 | + | 0.183315i | ||||
\(856\) | 0.537749 | − | 0.165873i | 0.0183799 | − | 0.00566944i | ||||
\(857\) | −19.0149 | − | 48.4491i | −0.649535 | − | 1.65499i | −0.751123 | − | 0.660162i | \(-0.770488\pi\) |
0.101588 | − | 0.994827i | \(-0.467608\pi\) | |||||||
\(858\) | 19.9759 | − | 20.9126i | 0.681965 | − | 0.713944i | ||||
\(859\) | 8.83034 | + | 28.6273i | 0.301287 | + | 0.976750i | 0.971990 | + | 0.235023i | \(0.0755166\pi\) |
−0.670702 | + | 0.741727i | \(0.734007\pi\) | |||||||
\(860\) | 8.11321 | − | 35.5463i | 0.276658 | − | 1.21212i | ||||
\(861\) | 0.152206 | + | 0.197754i | 0.00518717 | + | 0.00673943i | ||||
\(862\) | 4.91378 | + | 21.5287i | 0.167364 | + | 0.733270i | ||||
\(863\) | −18.9090 | + | 10.9171i | −0.643671 | + | 0.371623i | −0.786027 | − | 0.618192i | \(-0.787865\pi\) |
0.142357 | + | 0.989815i | \(0.454532\pi\) | |||||||
\(864\) | −50.2924 | + | 49.6842i | −1.71098 | + | 1.69029i | ||||
\(865\) | −0.312169 | − | 0.0962914i | −0.0106141 | − | 0.00327401i | ||||
\(866\) | −4.01468 | − | 53.5721i | −0.136424 | − | 1.82046i | ||||
\(867\) | 10.4253 | − | 42.8064i | 0.354061 | − | 1.45378i | ||||
\(868\) | 6.35216 | + | 42.9387i | 0.215606 | + | 1.45744i | ||||
\(869\) | −22.2949 | + | 17.7796i | −0.756304 | + | 0.603132i | ||||
\(870\) | −4.88260 | + | 11.9293i | −0.165536 | + | 0.404441i | ||||
\(871\) | −3.72564 | − | 24.7180i | −0.126239 | − | 0.837538i | ||||
\(872\) | −32.2669 | − | 47.3268i | −1.09269 | − | 1.60269i | ||||
\(873\) | −10.5656 | − | 12.0707i | −0.357593 | − | 0.408530i | ||||
\(874\) | 15.5036 | + | 32.1935i | 0.524417 | + | 1.08896i | ||||
\(875\) | 6.27555 | − | 15.8624i | 0.212152 | − | 0.536247i | ||||
\(876\) | −0.402972 | + | 27.7997i | −0.0136152 | + | 0.939266i | ||||
\(877\) | −44.3956 | − | 30.2684i | −1.49913 | − | 1.02209i | −0.986551 | − | 0.163453i | \(-0.947737\pi\) |
−0.512582 | − | 0.858638i | \(-0.671311\pi\) | |||||||
\(878\) | −55.6376 | − | 51.6242i | −1.87768 | − | 1.74223i | ||||
\(879\) | 1.02973 | + | 2.73982i | 0.0347318 | + | 0.0924117i | ||||
\(880\) | −18.7513 | − | 7.35933i | −0.632105 | − | 0.248083i | ||||
\(881\) | −38.0326 | −1.28135 | −0.640675 | − | 0.767812i | \(-0.721345\pi\) | ||||
−0.640675 | + | 0.767812i | \(0.721345\pi\) | |||||||
\(882\) | −55.6038 | + | 2.24494i | −1.87228 | + | 0.0755911i | ||||
\(883\) | 34.2540 | 1.15274 | 0.576369 | − | 0.817189i | \(-0.304469\pi\) | ||||
0.576369 | + | 0.817189i | \(0.304469\pi\) | |||||||
\(884\) | −71.9448 | − | 28.2363i | −2.41977 | − | 0.949688i | ||||
\(885\) | 2.26085 | + | 6.01549i | 0.0759975 | + | 0.202208i | ||||
\(886\) | −5.16595 | − | 4.79330i | −0.173553 | − | 0.161034i | ||||
\(887\) | 29.9392 | + | 20.4122i | 1.00526 | + | 0.685374i | 0.949726 | − | 0.313082i | \(-0.101362\pi\) |
0.0555337 | + | 0.998457i | \(0.482314\pi\) | |||||||
\(888\) | −0.183912 | + | 12.6875i | −0.00617169 | + | 0.425765i | ||||
\(889\) | 0.575350 | + | 7.96933i | 0.0192966 | + | 0.267283i | ||||
\(890\) | 7.44978 | + | 15.4696i | 0.249717 | + | 0.518543i | ||||
\(891\) | −24.0018 | + | 0.403790i | −0.804091 | + | 0.0135275i | ||||
\(892\) | 14.3506 | + | 21.0485i | 0.480495 | + | 0.704757i | ||||
\(893\) | 5.14860 | + | 34.1587i | 0.172291 | + | 1.14308i | ||||
\(894\) | 14.4040 | − | 35.1922i | 0.481741 | − | 1.17700i | ||||
\(895\) | 6.41277 | − | 5.11401i | 0.214355 | − | 0.170943i | ||||
\(896\) | 22.3953 | − | 8.71902i | 0.748173 | − | 0.291282i | ||||
\(897\) | 2.96463 | − | 12.1728i | 0.0989861 | − | 0.406439i | ||||
\(898\) | −3.19030 | − | 42.5715i | −0.106462 | − | 1.42063i | ||||
\(899\) | −12.9756 | − | 4.00243i | −0.432760 | − | 0.133489i | ||||
\(900\) | 23.1527 | + | 64.4233i | 0.771756 | + | 2.14744i | ||||
\(901\) | −65.8167 | + | 37.9993i | −2.19267 | + | 1.26594i | ||||
\(902\) | −0.0856473 | − | 0.375245i | −0.00285174 | − | 0.0124943i | ||||
\(903\) | −11.7829 | + | 47.8127i | −0.392109 | + | 1.59111i | ||||
\(904\) | −3.35884 | + | 14.7160i | −0.111713 | + | 0.489448i | ||||
\(905\) | 2.94940 | + | 9.56172i | 0.0980414 | + | 0.317842i | ||||
\(906\) | −64.6947 | + | 67.7284i | −2.14934 | + | 2.25013i | ||||
\(907\) | 7.96074 | + | 20.2836i | 0.264332 | + | 0.673507i | 0.999993 | − | 0.00384335i | \(-0.00122338\pi\) |
−0.735661 | + | 0.677350i | \(0.763128\pi\) | |||||||
\(908\) | −121.412 | + | 37.4506i | −4.02919 | + | 1.24284i | ||||
\(909\) | 7.56986 | + | 10.0783i | 0.251076 | + | 0.334275i | ||||
\(910\) | −10.0681 | − | 4.88243i | −0.333754 | − | 0.161851i | ||||
\(911\) | 18.6741 | − | 4.26223i | 0.618699 | − | 0.141214i | 0.0983278 | − | 0.995154i | \(-0.468651\pi\) |
0.520371 | + | 0.853940i | \(0.325793\pi\) | |||||||
\(912\) | −49.0471 | + | 69.7450i | −1.62411 | + | 2.30949i | ||||
\(913\) | −1.95509 | − | 1.12877i | −0.0647041 | − | 0.0373569i | ||||
\(914\) | −12.8369 | + | 41.6161i | −0.424605 | + | 1.37654i | ||||
\(915\) | −7.99829 | + | 4.46451i | −0.264415 | + | 0.147592i | ||||
\(916\) | −90.0325 | − | 71.7985i | −2.97476 | − | 2.37229i | ||||
\(917\) | −3.04324 | + | 39.1741i | −0.100497 | + | 1.29364i | ||||
\(918\) | 35.3694 | + | 82.4322i | 1.16737 | + | 2.72067i | ||||
\(919\) | 15.6900 | − | 14.5581i | 0.517564 | − | 0.480229i | −0.377598 | − | 0.925969i | \(-0.623250\pi\) |
0.895162 | + | 0.445740i | \(0.147060\pi\) | |||||||
\(920\) | −16.3828 | + | 2.46930i | −0.540123 | + | 0.0814105i | ||||
\(921\) | 3.21826 | + | 1.92079i | 0.106045 | + | 0.0632922i | ||||
\(922\) | 9.33529 | − | 61.9356i | 0.307441 | − | 2.03974i | ||||
\(923\) | 10.0439 | − | 4.83687i | 0.330598 | − | 0.159208i | ||||
\(924\) | 56.7484 | + | 23.4079i | 1.86689 | + | 0.770063i | ||||
\(925\) | 3.74451 | + | 1.80326i | 0.123119 | + | 0.0592909i | ||||
\(926\) | −20.2885 | + | 29.7577i | −0.666721 | + | 0.977900i | ||||
\(927\) | −2.24358 | − | 18.5116i | −0.0736888 | − | 0.607999i | ||||
\(928\) | −4.22637 | + | 56.3970i | −0.138737 | + | 1.85132i | ||||
\(929\) | −3.04816 | + | 7.76659i | −0.100007 | + | 0.254814i | −0.972117 | − | 0.234496i | \(-0.924656\pi\) |
0.872110 | + | 0.489310i | \(0.162751\pi\) | |||||||
\(930\) | 9.18904 | − | 4.26225i | 0.301320 | − | 0.139765i | ||||
\(931\) | −30.0897 | + | 6.69519i | −0.986151 | + | 0.219426i | ||||
\(932\) | − | 62.0006i | − | 2.03090i | ||||||
\(933\) | −0.773383 | − | 12.8089i | −0.0253194 | − | 0.419345i | ||||
\(934\) | −13.2399 | − | 0.992195i | −0.433224 | − | 0.0324656i | ||||
\(935\) | −7.98431 | + | 8.60504i | −0.261115 | + | 0.281415i | ||||
\(936\) | 54.6991 | − | 15.1508i | 1.78790 | − | 0.495220i | ||||
\(937\) | −4.37608 | + | 9.08701i | −0.142960 | + | 0.296860i | −0.960138 | − | 0.279525i | \(-0.909823\pi\) |
0.817178 | + | 0.576385i | \(0.195537\pi\) | |||||||
\(938\) | 64.3510 | − | 36.9193i | 2.10113 | − | 1.20546i | ||||
\(939\) | −36.9256 | − | 30.3331i | −1.20502 | − | 0.989882i | ||||
\(940\) | −26.3193 | − | 3.96699i | −0.858439 | − | 0.129389i | ||||
\(941\) | −1.97429 | + | 1.34605i | −0.0643600 | + | 0.0438799i | −0.595073 | − | 0.803672i | \(-0.702877\pi\) |
0.530713 | + | 0.847552i | \(0.321924\pi\) | |||||||
\(942\) | −13.3163 | + | 8.79894i | −0.433870 | + | 0.286685i | ||||
\(943\) | −0.113414 | − | 0.122231i | −0.00369327 | − | 0.00398040i | ||||
\(944\) | 38.2771 | + | 47.9979i | 1.24581 | + | 1.56220i | ||||
\(945\) | 2.99021 | + | 8.79335i | 0.0972714 | + | 0.286048i | ||||
\(946\) | 47.3552 | − | 59.3815i | 1.53965 | − | 1.93066i | ||||
\(947\) | 27.9591 | − | 2.09524i | 0.908549 | − | 0.0680863i | 0.387749 | − | 0.921765i | \(-0.373253\pi\) |
0.520800 | + | 0.853679i | \(0.325634\pi\) | |||||||
\(948\) | −92.1544 | + | 12.5268i | −2.99303 | + | 0.406853i | ||||
\(949\) | 3.77513 | − | 6.53872i | 0.122546 | − | 0.212256i | ||||
\(950\) | 26.5106 | + | 45.9178i | 0.860119 | + | 1.48977i | ||||
\(951\) | 35.8981 | − | 27.7862i | 1.16408 | − | 0.901030i | ||||
\(952\) | 0.376759 | − | 138.036i | 0.0122108 | − | 4.47377i | ||||
\(953\) | 1.84146 | + | 0.420301i | 0.0596508 | + | 0.0136149i | 0.252242 | − | 0.967664i | \(-0.418832\pi\) |
−0.192591 | + | 0.981279i | \(0.561689\pi\) | |||||||
\(954\) | 36.3721 | − | 85.3164i | 1.17759 | − | 2.76222i | ||||
\(955\) | −7.90355 | + | 3.10192i | −0.255753 | + | 0.100376i | ||||
\(956\) | −11.5191 | + | 4.52090i | −0.372554 | + | 0.146216i | ||||
\(957\) | −14.2652 | + | 12.8565i | −0.461128 | + | 0.415590i | ||||
\(958\) | −67.6971 | − | 15.4514i | −2.18719 | − | 0.499213i | ||||
\(959\) | 6.01268 | + | 12.5731i | 0.194159 | + | 0.406007i | ||||
\(960\) | −9.80980 | − | 12.6737i | −0.316610 | − | 0.409041i | ||||
\(961\) | −10.1646 | − | 17.6055i | −0.327889 | − | 0.567920i | ||||
\(962\) | 2.86308 | − | 4.95901i | 0.0923095 | − | 0.159885i | ||||
\(963\) | 0.113648 | + | 0.177537i | 0.00366224 | + | 0.00572104i | ||||
\(964\) | 89.4877 | − | 6.70618i | 2.88221 | − | 0.215991i | ||||
\(965\) | 3.44749 | − | 4.32301i | 0.110979 | − | 0.139163i | ||||
\(966\) | 36.8586 | − | 4.90788i | 1.18591 | − | 0.157909i | ||||
\(967\) | −10.8735 | − | 13.6350i | −0.349670 | − | 0.438472i | 0.575629 | − | 0.817711i | \(-0.304757\pi\) |
−0.925299 | + | 0.379239i | \(0.876186\pi\) | |||||||
\(968\) | 21.1677 | + | 22.8134i | 0.680356 | + | 0.733250i | ||||
\(969\) | 27.3919 | + | 41.4549i | 0.879953 | + | 1.33172i | ||||
\(970\) | 7.90964 | − | 5.39270i | 0.253963 | − | 0.173149i | ||||
\(971\) | 38.7866 | + | 5.84613i | 1.24472 | + | 0.187611i | 0.738179 | − | 0.674605i | \(-0.235686\pi\) |
0.506541 | + | 0.862216i | \(0.330924\pi\) | |||||||
\(972\) | −67.8917 | − | 38.9869i | −2.17763 | − | 1.25051i | ||||
\(973\) | −0.612235 | − | 2.00422i | −0.0196274 | − | 0.0642524i | ||||
\(974\) | 21.6421 | − | 44.9403i | 0.693457 | − | 1.43998i | ||||
\(975\) | 3.03695 | − | 18.3410i | 0.0972603 | − | 0.587381i | ||||
\(976\) | −59.5195 | + | 64.1467i | −1.90517 | + | 2.05329i | ||||
\(977\) | −6.92297 | − | 0.518805i | −0.221485 | − | 0.0165980i | −0.0364749 | − | 0.999335i | \(-0.511613\pi\) |
−0.185011 | + | 0.982737i | \(0.559232\pi\) | |||||||
\(978\) | 28.2409 | − | 1.70514i | 0.903043 | − | 0.0545244i | ||||
\(979\) | 25.5805i | 0.817557i | ||||||||
\(980\) | 1.90419 | − | 23.6746i | 0.0608270 | − | 0.756259i | ||||
\(981\) | 13.8582 | − | 16.3802i | 0.442459 | − | 0.522979i | ||||
\(982\) | 37.1330 | − | 94.6134i | 1.18496 | − | 3.01923i | ||||
\(983\) | −1.23786 | + | 16.5182i | −0.0394818 | + | 0.526847i | 0.942040 | + | 0.335499i | \(0.108905\pi\) |
−0.981522 | + | 0.191348i | \(0.938714\pi\) | |||||||
\(984\) | 0.233096 | − | 0.718534i | 0.00743083 | − | 0.0229060i | ||||
\(985\) | 1.57484 | − | 2.30986i | 0.0501785 | − | 0.0735983i | ||||
\(986\) | 64.6521 | + | 31.1348i | 2.05894 | + | 0.991534i | ||||
\(987\) | 35.4490 | + | 5.96921i | 1.12835 | + | 0.190002i | ||||
\(988\) | 47.0718 | − | 22.6686i | 1.49755 | − | 0.721184i | ||||
\(989\) | 4.90402 | − | 32.5360i | 0.155939 | − | 1.03459i | ||||
\(990\) | 1.48415 | − | 14.2483i | 0.0471695 | − | 0.452842i | ||||
\(991\) | −45.2263 | + | 6.81677i | −1.43666 | + | 0.216542i | −0.820756 | − | 0.571278i | \(-0.806448\pi\) |
−0.615905 | + | 0.787820i | \(0.711210\pi\) | |||||||
\(992\) | 32.5795 | − | 30.2294i | 1.03440 | − | 0.959783i | ||||
\(993\) | 21.9226 | + | 10.9516i | 0.695691 | + | 0.347538i | ||||
\(994\) | 24.1921 | + | 22.5702i | 0.767327 | + | 0.715883i | ||||
\(995\) | −2.59998 | − | 2.07342i | −0.0824249 | − | 0.0657317i | ||||
\(996\) | −3.58853 | − | 6.42894i | −0.113707 | − | 0.203709i | ||||
\(997\) | 2.54337 | − | 8.24540i | 0.0805493 | − | 0.261134i | −0.906336 | − | 0.422558i | \(-0.861132\pi\) |
0.986885 | + | 0.161423i | \(0.0516085\pi\) | |||||||
\(998\) | −17.4746 | − | 10.0890i | −0.553150 | − | 0.319361i | ||||
\(999\) | −4.59847 | + | 1.20222i | −0.145489 | + | 0.0380365i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 147.2.o.b.101.16 | yes | 192 | |
3.2 | odd | 2 | inner | 147.2.o.b.101.1 | ✓ | 192 | |
49.33 | odd | 42 | inner | 147.2.o.b.131.1 | yes | 192 | |
147.131 | even | 42 | inner | 147.2.o.b.131.16 | yes | 192 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
147.2.o.b.101.1 | ✓ | 192 | 3.2 | odd | 2 | inner | |
147.2.o.b.101.16 | yes | 192 | 1.1 | even | 1 | trivial | |
147.2.o.b.131.1 | yes | 192 | 49.33 | odd | 42 | inner | |
147.2.o.b.131.16 | yes | 192 | 147.131 | even | 42 | inner |