Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [208,2,Mod(29,208)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(208, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("208.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 208 = 2^{4} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 208.bj (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.66088836204\) |
Analytic rank: | \(0\) |
Dimension: | \(104\) |
Relative dimension: | \(26\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 29.1 | ||
Character | \(\chi\) | \(=\) | 208.29 |
Dual form | 208.2.bj.a.165.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/208\mathbb{Z}\right)^\times\).
\(n\) | \(53\) | \(79\) | \(145\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.41044 | + | 0.103276i | −0.997330 | + | 0.0730270i | ||||
\(3\) | −0.623697 | + | 2.32767i | −0.360092 | + | 1.34388i | 0.513863 | + | 0.857872i | \(0.328214\pi\) |
−0.873954 | + | 0.486008i | \(0.838453\pi\) | |||||||
\(4\) | 1.97867 | − | 0.291328i | 0.989334 | − | 0.145664i | ||||
\(5\) | −2.33843 | + | 2.33843i | −1.04578 | + | 1.04578i | −0.0468761 | + | 0.998901i | \(0.514927\pi\) |
−0.998901 | + | 0.0468761i | \(0.985073\pi\) | |||||||
\(6\) | 0.639294 | − | 3.34744i | 0.260991 | − | 1.36659i | ||||
\(7\) | −3.16277 | − | 1.82602i | −1.19541 | − | 0.690172i | −0.235884 | − | 0.971781i | \(-0.575799\pi\) |
−0.959529 | + | 0.281609i | \(0.909132\pi\) | |||||||
\(8\) | −2.76070 | + | 0.615248i | −0.976055 | + | 0.217523i | ||||
\(9\) | −2.43097 | − | 1.40352i | −0.810323 | − | 0.467840i | ||||
\(10\) | 3.05670 | − | 3.53971i | 0.966615 | − | 1.11935i | ||||
\(11\) | 3.60420 | + | 0.965741i | 1.08671 | + | 0.291182i | 0.757340 | − | 0.653020i | \(-0.226498\pi\) |
0.329366 | + | 0.944202i | \(0.393165\pi\) | |||||||
\(12\) | −0.555974 | + | 4.78739i | −0.160496 | + | 1.38200i | ||||
\(13\) | 0.897619 | − | 3.49203i | 0.248955 | − | 0.968515i | ||||
\(14\) | 4.64947 | + | 2.24886i | 1.24262 | + | 0.601032i | ||||
\(15\) | −3.98462 | − | 6.90156i | −1.02882 | − | 1.78197i | ||||
\(16\) | 3.83026 | − | 1.15288i | 0.957564 | − | 0.288221i | ||||
\(17\) | 1.39318 | − | 2.41306i | 0.337896 | − | 0.585254i | −0.646140 | − | 0.763219i | \(-0.723618\pi\) |
0.984037 | + | 0.177965i | \(0.0569513\pi\) | |||||||
\(18\) | 3.57368 | + | 1.72852i | 0.842324 | + | 0.407416i | ||||
\(19\) | −6.63086 | + | 1.77673i | −1.52122 | + | 0.407611i | −0.920145 | − | 0.391578i | \(-0.871929\pi\) |
−0.601080 | + | 0.799189i | \(0.705263\pi\) | |||||||
\(20\) | −3.94572 | + | 5.30822i | −0.882291 | + | 1.18695i | ||||
\(21\) | 6.22299 | − | 6.22299i | 1.35797 | − | 1.35797i | ||||
\(22\) | −5.18323 | − | 0.989892i | −1.10507 | − | 0.211046i | ||||
\(23\) | −5.70507 | + | 3.29383i | −1.18959 | + | 0.686810i | −0.958213 | − | 0.286054i | \(-0.907656\pi\) |
−0.231377 | + | 0.972864i | \(0.574323\pi\) | |||||||
\(24\) | 0.289746 | − | 6.80973i | 0.0591442 | − | 1.39003i | ||||
\(25\) | − | 5.93649i | − | 1.18730i | ||||||
\(26\) | −0.905393 | + | 5.01799i | −0.177562 | + | 0.984110i | ||||
\(27\) | −0.328797 | + | 0.328797i | −0.0632770 | + | 0.0632770i | ||||
\(28\) | −6.79004 | − | 2.69169i | −1.28320 | − | 0.508682i | ||||
\(29\) | −0.314295 | + | 1.17296i | −0.0583631 | + | 0.217814i | −0.988948 | − | 0.148262i | \(-0.952632\pi\) |
0.930585 | + | 0.366076i | \(0.119299\pi\) | |||||||
\(30\) | 6.33282 | + | 9.32270i | 1.15621 | + | 1.70208i | ||||
\(31\) | −4.09157 | −0.734867 | −0.367434 | − | 0.930050i | \(-0.619764\pi\) | ||||
−0.367434 | + | 0.930050i | \(0.619764\pi\) | |||||||
\(32\) | −5.28327 | + | 2.02164i | −0.933959 | + | 0.357379i | ||||
\(33\) | −4.49585 | + | 7.78705i | −0.782627 | + | 1.35555i | ||||
\(34\) | −1.71579 | + | 3.54736i | −0.294255 | + | 0.608367i | ||||
\(35\) | 11.6659 | − | 3.12588i | 1.97190 | − | 0.528369i | ||||
\(36\) | −5.21897 | − | 2.06889i | −0.869828 | − | 0.344815i | ||||
\(37\) | 3.69016 | + | 0.988774i | 0.606658 | + | 0.162553i | 0.549055 | − | 0.835786i | \(-0.314988\pi\) |
0.0576027 | + | 0.998340i | \(0.481654\pi\) | |||||||
\(38\) | 9.16893 | − | 3.19078i | 1.48740 | − | 0.517613i | ||||
\(39\) | 7.56845 | + | 4.26733i | 1.21192 | + | 0.683319i | ||||
\(40\) | 5.01699 | − | 7.89441i | 0.793255 | − | 1.24822i | ||||
\(41\) | −0.123461 | + | 0.0712802i | −0.0192814 | + | 0.0111321i | −0.509610 | − | 0.860406i | \(-0.670210\pi\) |
0.490328 | + | 0.871538i | \(0.336877\pi\) | |||||||
\(42\) | −8.13445 | + | 9.41982i | −1.25517 | + | 1.45351i | ||||
\(43\) | 0.772184 | + | 2.88183i | 0.117757 | + | 0.439475i | 0.999478 | − | 0.0322955i | \(-0.0102818\pi\) |
−0.881721 | + | 0.471770i | \(0.843615\pi\) | |||||||
\(44\) | 7.41286 | + | 0.860879i | 1.11753 | + | 0.129782i | ||||
\(45\) | 8.96668 | − | 2.40261i | 1.33667 | − | 0.358161i | ||||
\(46\) | 7.70648 | − | 5.23493i | 1.13626 | − | 0.771849i | ||||
\(47\) | −7.34533 | −1.07143 | −0.535713 | − | 0.844400i | \(-0.679957\pi\) | ||||
−0.535713 | + | 0.844400i | \(0.679957\pi\) | |||||||
\(48\) | 0.294611 | + | 9.63462i | 0.0425234 | + | 1.39064i | ||||
\(49\) | 3.16873 | + | 5.48840i | 0.452675 | + | 0.784057i | ||||
\(50\) | 0.613096 | + | 8.37305i | 0.0867048 | + | 1.18413i | ||||
\(51\) | 4.74789 | + | 4.74789i | 0.664837 | + | 0.664837i | ||||
\(52\) | 0.758763 | − | 7.17107i | 0.105221 | − | 0.994449i | ||||
\(53\) | −6.32639 | + | 6.32639i | −0.868997 | + | 0.868997i | −0.992361 | − | 0.123365i | \(-0.960631\pi\) |
0.123365 | + | 0.992361i | \(0.460631\pi\) | |||||||
\(54\) | 0.429791 | − | 0.497704i | 0.0584871 | − | 0.0677290i | ||||
\(55\) | −10.6865 | + | 6.16984i | −1.44096 | + | 0.831940i | ||||
\(56\) | 9.85491 | + | 3.09522i | 1.31692 | + | 0.413616i | ||||
\(57\) | − | 16.5426i | − | 2.19112i | ||||||
\(58\) | 0.322154 | − | 1.68685i | 0.0423010 | − | 0.221495i | ||||
\(59\) | −0.387585 | − | 1.44649i | −0.0504593 | − | 0.188317i | 0.936096 | − | 0.351745i | \(-0.114411\pi\) |
−0.986555 | + | 0.163428i | \(0.947745\pi\) | |||||||
\(60\) | −9.89485 | − | 12.4951i | −1.27742 | − | 1.61311i | ||||
\(61\) | −2.41180 | + | 0.646240i | −0.308799 | + | 0.0827425i | −0.409891 | − | 0.912135i | \(-0.634433\pi\) |
0.101091 | + | 0.994877i | \(0.467767\pi\) | |||||||
\(62\) | 5.77090 | − | 0.422560i | 0.732905 | − | 0.0536652i | ||||
\(63\) | 5.12572 | + | 8.87801i | 0.645781 | + | 1.11852i | ||||
\(64\) | 7.24294 | − | 3.39703i | 0.905367 | − | 0.424629i | ||||
\(65\) | 6.06685 | + | 10.2649i | 0.752500 | + | 1.27320i | ||||
\(66\) | 5.53691 | − | 11.4475i | 0.681546 | − | 1.40908i | ||||
\(67\) | −0.625756 | + | 2.33535i | −0.0764483 | + | 0.285309i | −0.993558 | − | 0.113326i | \(-0.963849\pi\) |
0.917110 | + | 0.398635i | \(0.130516\pi\) | |||||||
\(68\) | 2.05365 | − | 5.18052i | 0.249042 | − | 0.628231i | ||||
\(69\) | −4.10870 | − | 15.3339i | −0.494629 | − | 1.84598i | ||||
\(70\) | −16.1312 | + | 5.61366i | −1.92805 | + | 0.670961i | ||||
\(71\) | 7.89833 | + | 4.56010i | 0.937359 | + | 0.541185i | 0.889132 | − | 0.457652i | \(-0.151309\pi\) |
0.0482279 | + | 0.998836i | \(0.484643\pi\) | |||||||
\(72\) | 7.57469 | + | 2.37905i | 0.892686 | + | 0.280374i | ||||
\(73\) | 10.8639i | 1.27152i | 0.771885 | + | 0.635762i | \(0.219314\pi\) | ||||
−0.771885 | + | 0.635762i | \(0.780686\pi\) | |||||||
\(74\) | −5.30685 | − | 1.01350i | −0.616909 | − | 0.117817i | ||||
\(75\) | 13.8182 | + | 3.70257i | 1.59559 | + | 0.427536i | ||||
\(76\) | −12.6027 | + | 5.44732i | −1.44563 | + | 0.624851i | ||||
\(77\) | −9.63576 | − | 9.63576i | −1.09810 | − | 1.09810i | ||||
\(78\) | −11.1155 | − | 5.23716i | −1.25859 | − | 0.592992i | ||||
\(79\) | 10.7847 | 1.21337 | 0.606686 | − | 0.794941i | \(-0.292498\pi\) | ||||
0.606686 | + | 0.794941i | \(0.292498\pi\) | |||||||
\(80\) | −6.26084 | + | 11.6527i | −0.699984 | + | 1.30281i | ||||
\(81\) | −4.77082 | − | 8.26331i | −0.530091 | − | 0.918145i | ||||
\(82\) | 0.166772 | − | 0.113287i | 0.0184169 | − | 0.0125104i | ||||
\(83\) | 0.331076 | + | 0.331076i | 0.0363403 | + | 0.0363403i | 0.725043 | − | 0.688703i | \(-0.241820\pi\) |
−0.688703 | + | 0.725043i | \(0.741820\pi\) | |||||||
\(84\) | 10.5003 | − | 14.1262i | 1.14568 | − | 1.54129i | ||||
\(85\) | 2.38492 | + | 8.90063i | 0.258681 | + | 0.965409i | ||||
\(86\) | −1.38674 | − | 3.98489i | −0.149536 | − | 0.429702i | ||||
\(87\) | −2.53425 | − | 1.46315i | −0.271700 | − | 0.156866i | ||||
\(88\) | −10.5443 | − | 0.448647i | −1.12402 | − | 0.0478260i | ||||
\(89\) | −6.75424 | + | 3.89956i | −0.715948 | + | 0.413353i | −0.813259 | − | 0.581901i | \(-0.802309\pi\) |
0.0973116 | + | 0.995254i | \(0.468976\pi\) | |||||||
\(90\) | −12.3988 | + | 4.31478i | −1.30695 | + | 0.454817i | ||||
\(91\) | −9.21549 | + | 9.40541i | −0.966046 | + | 0.985954i | ||||
\(92\) | −10.3289 | + | 8.17944i | −1.07686 | + | 0.852765i | ||||
\(93\) | 2.55190 | − | 9.52382i | 0.264620 | − | 0.987574i | ||||
\(94\) | 10.3601 | − | 0.758594i | 1.06857 | − | 0.0782430i | ||||
\(95\) | 11.3510 | − | 19.6606i | 1.16459 | − | 2.01713i | ||||
\(96\) | −1.41055 | − | 13.5586i | −0.143964 | − | 1.38382i | ||||
\(97\) | 5.70247 | − | 9.87697i | 0.578998 | − | 1.00285i | −0.416596 | − | 0.909092i | \(-0.636777\pi\) |
0.995595 | − | 0.0937630i | \(-0.0298896\pi\) | |||||||
\(98\) | −5.03611 | − | 7.41379i | −0.508724 | − | 0.748906i | ||||
\(99\) | −7.40625 | − | 7.40625i | −0.744356 | − | 0.744356i | ||||
\(100\) | −1.72947 | − | 11.7463i | −0.172947 | − | 1.17463i | ||||
\(101\) | −2.23780 | − | 0.599616i | −0.222669 | − | 0.0596640i | 0.145759 | − | 0.989320i | \(-0.453437\pi\) |
−0.368429 | + | 0.929656i | \(0.620104\pi\) | |||||||
\(102\) | −7.18694 | − | 6.20626i | −0.711613 | − | 0.614511i | ||||
\(103\) | − | 8.68531i | − | 0.855789i | −0.903829 | − | 0.427895i | \(-0.859255\pi\) | ||
0.903829 | − | 0.427895i | \(-0.140745\pi\) | |||||||
\(104\) | −0.329590 | + | 10.1927i | −0.0323189 | + | 0.999478i | ||||
\(105\) | 29.1040i | 2.84026i | ||||||||
\(106\) | 8.26962 | − | 9.57634i | 0.803216 | − | 0.930137i | ||||
\(107\) | −10.9540 | − | 2.93513i | −1.05897 | − | 0.283749i | −0.313014 | − | 0.949748i | \(-0.601339\pi\) |
−0.745953 | + | 0.665999i | \(0.768005\pi\) | |||||||
\(108\) | −0.554792 | + | 0.746368i | −0.0533849 | + | 0.0718193i | ||||
\(109\) | 5.96844 | + | 5.96844i | 0.571672 | + | 0.571672i | 0.932596 | − | 0.360923i | \(-0.117538\pi\) |
−0.360923 | + | 0.932596i | \(0.617538\pi\) | |||||||
\(110\) | 14.4354 | − | 9.80582i | 1.37636 | − | 0.934948i | ||||
\(111\) | −4.60308 | + | 7.97277i | −0.436905 | + | 0.756741i | ||||
\(112\) | −14.2194 | − | 3.34784i | −1.34361 | − | 0.316341i | ||||
\(113\) | −4.70737 | + | 8.15341i | −0.442833 | + | 0.767008i | −0.997898 | − | 0.0647979i | \(-0.979360\pi\) |
0.555066 | + | 0.831806i | \(0.312693\pi\) | |||||||
\(114\) | 1.70845 | + | 23.3323i | 0.160011 | + | 2.18527i | ||||
\(115\) | 5.63853 | − | 21.0433i | 0.525796 | − | 1.96230i | ||||
\(116\) | −0.280168 | + | 2.41247i | −0.0260129 | + | 0.223992i | ||||
\(117\) | −7.08322 | + | 7.22919i | −0.654844 | + | 0.668339i | ||||
\(118\) | 0.696052 | + | 2.00015i | 0.0640768 | + | 0.184129i | ||||
\(119\) | −8.81262 | + | 5.08797i | −0.807852 | + | 0.466413i | ||||
\(120\) | 15.2465 | + | 16.6016i | 1.39181 | + | 1.51551i | ||||
\(121\) | 2.53129 | + | 1.46144i | 0.230117 | + | 0.132858i | ||||
\(122\) | 3.33495 | − | 1.16056i | 0.301932 | − | 0.105072i | ||||
\(123\) | −0.0889145 | − | 0.331833i | −0.00801715 | − | 0.0299204i | ||||
\(124\) | −8.09586 | + | 1.19199i | −0.727029 | + | 0.107044i | ||||
\(125\) | 2.18992 | + | 2.18992i | 0.195872 | + | 0.195872i | ||||
\(126\) | −8.14640 | − | 11.9925i | −0.725739 | − | 1.06838i | ||||
\(127\) | 2.35499 | + | 4.07897i | 0.208972 | + | 0.361950i | 0.951391 | − | 0.307986i | \(-0.0996549\pi\) |
−0.742419 | + | 0.669936i | \(0.766322\pi\) | |||||||
\(128\) | −9.86488 | + | 5.53932i | −0.871941 | + | 0.489612i | ||||
\(129\) | −7.18956 | −0.633005 | ||||||||
\(130\) | −9.61702 | − | 13.8514i | −0.843469 | − | 1.21485i | ||||
\(131\) | −0.104732 | − | 0.104732i | −0.00915046 | − | 0.00915046i | 0.702517 | − | 0.711667i | \(-0.252060\pi\) |
−0.711667 | + | 0.702517i | \(0.752060\pi\) | |||||||
\(132\) | −6.62722 | + | 16.7177i | −0.576825 | + | 1.45509i | ||||
\(133\) | 24.2162 | + | 6.48872i | 2.09981 | + | 0.562643i | ||||
\(134\) | 0.641405 | − | 3.35850i | 0.0554089 | − | 0.290130i | ||||
\(135\) | − | 1.53774i | − | 0.132347i | ||||||
\(136\) | −2.36153 | + | 7.51890i | −0.202499 | + | 0.644740i | ||||
\(137\) | 6.48097 | + | 3.74179i | 0.553707 | + | 0.319683i | 0.750616 | − | 0.660739i | \(-0.229757\pi\) |
−0.196909 | + | 0.980422i | \(0.563090\pi\) | |||||||
\(138\) | 7.37868 | + | 21.2031i | 0.628115 | + | 1.80493i | ||||
\(139\) | 3.98009 | + | 14.8539i | 0.337587 | + | 1.25989i | 0.901037 | + | 0.433741i | \(0.142807\pi\) |
−0.563451 | + | 0.826150i | \(0.690527\pi\) | |||||||
\(140\) | 22.1723 | − | 9.58368i | 1.87391 | − | 0.809969i | ||||
\(141\) | 4.58126 | − | 17.0975i | 0.385812 | − | 1.43987i | ||||
\(142\) | −11.6111 | − | 5.61604i | −0.974378 | − | 0.471287i | ||||
\(143\) | 6.60759 | − | 11.7191i | 0.552555 | − | 0.980000i | ||||
\(144\) | −10.9293 | − | 2.57322i | −0.910777 | − | 0.214435i | ||||
\(145\) | −2.00794 | − | 3.47785i | −0.166750 | − | 0.288820i | ||||
\(146\) | −1.12198 | − | 15.3229i | −0.0928556 | − | 1.26813i | ||||
\(147\) | −14.7515 | + | 3.95265i | −1.21668 | + | 0.326009i | ||||
\(148\) | 7.58965 | + | 0.881410i | 0.623865 | + | 0.0724515i | ||||
\(149\) | −0.864092 | − | 3.22484i | −0.0707892 | − | 0.264189i | 0.921456 | − | 0.388482i | \(-0.127000\pi\) |
−0.992246 | + | 0.124293i | \(0.960334\pi\) | |||||||
\(150\) | −19.8721 | − | 3.79516i | −1.62255 | − | 0.309874i | ||||
\(151\) | − | 20.8859i | − | 1.69967i | −0.527047 | − | 0.849836i | \(-0.676701\pi\) | ||
0.527047 | − | 0.849836i | \(-0.323299\pi\) | |||||||
\(152\) | 17.2127 | − | 8.98466i | 1.39613 | − | 0.728752i | ||||
\(153\) | −6.77357 | + | 3.91072i | −0.547610 | + | 0.316163i | ||||
\(154\) | 14.5858 | + | 12.5955i | 1.17536 | + | 1.01497i | ||||
\(155\) | 9.56784 | − | 9.56784i | 0.768507 | − | 0.768507i | ||||
\(156\) | 16.2186 | + | 6.23873i | 1.29853 | + | 0.499498i | ||||
\(157\) | 8.48001 | + | 8.48001i | 0.676778 | + | 0.676778i | 0.959270 | − | 0.282491i | \(-0.0911609\pi\) |
−0.282491 | + | 0.959270i | \(0.591161\pi\) | |||||||
\(158\) | −15.2111 | + | 1.11380i | −1.21013 | + | 0.0886089i | ||||
\(159\) | −10.7800 | − | 18.6715i | −0.854909 | − | 1.48075i | ||||
\(160\) | 7.62709 | − | 17.0820i | 0.602974 | − | 1.35045i | ||||
\(161\) | 24.0584 | 1.89607 | ||||||||
\(162\) | 7.58235 | + | 11.1622i | 0.595725 | + | 0.876983i | ||||
\(163\) | 5.86275 | − | 1.57092i | 0.459206 | − | 0.123044i | −0.0217979 | − | 0.999762i | \(-0.506939\pi\) |
0.481004 | + | 0.876719i | \(0.340272\pi\) | |||||||
\(164\) | −0.223522 | + | 0.177007i | −0.0174542 | + | 0.0138220i | ||||
\(165\) | −7.69622 | − | 28.7227i | −0.599150 | − | 2.23606i | ||||
\(166\) | −0.501154 | − | 0.432770i | −0.0388971 | − | 0.0335895i | ||||
\(167\) | −5.53339 | + | 3.19470i | −0.428186 | + | 0.247214i | −0.698574 | − | 0.715538i | \(-0.746182\pi\) |
0.270387 | + | 0.962752i | \(0.412848\pi\) | |||||||
\(168\) | −13.3511 | + | 21.0085i | −1.03006 | + | 1.62084i | ||||
\(169\) | −11.3886 | − | 6.26902i | −0.876043 | − | 0.482233i | ||||
\(170\) | −4.28300 | − | 12.3075i | −0.328491 | − | 0.943941i | ||||
\(171\) | 18.6131 | + | 4.98737i | 1.42338 | + | 0.381393i | ||||
\(172\) | 2.36745 | + | 5.47723i | 0.180517 | + | 0.417635i | ||||
\(173\) | −2.34286 | + | 0.627768i | −0.178125 | + | 0.0477283i | −0.346779 | − | 0.937947i | \(-0.612725\pi\) |
0.168654 | + | 0.985675i | \(0.446058\pi\) | |||||||
\(174\) | 3.72551 | + | 1.80195i | 0.282430 | + | 0.136606i | ||||
\(175\) | −10.8402 | + | 18.7757i | −0.819440 | + | 1.41931i | ||||
\(176\) | 14.9184 | − | 0.456179i | 1.12452 | − | 0.0343858i | ||||
\(177\) | 3.60868 | 0.271245 | ||||||||
\(178\) | 9.12370 | − | 6.19764i | 0.683850 | − | 0.464533i | ||||
\(179\) | −4.93333 | + | 18.4114i | −0.368734 | + | 1.37614i | 0.493553 | + | 0.869716i | \(0.335698\pi\) |
−0.862287 | + | 0.506419i | \(0.830969\pi\) | |||||||
\(180\) | 17.0421 | − | 7.36622i | 1.27025 | − | 0.549046i | ||||
\(181\) | −12.6523 | + | 12.6523i | −0.940441 | + | 0.940441i | −0.998323 | − | 0.0578822i | \(-0.981565\pi\) |
0.0578822 | + | 0.998323i | \(0.481565\pi\) | |||||||
\(182\) | 12.0265 | − | 14.2175i | 0.891465 | − | 1.05387i | ||||
\(183\) | − | 6.01693i | − | 0.444784i | ||||||
\(184\) | 13.7235 | − | 12.6033i | 1.01171 | − | 0.929128i | ||||
\(185\) | −10.9413 | + | 6.31699i | −0.804423 | + | 0.464434i | ||||
\(186\) | −2.61571 | + | 13.6963i | −0.191794 | + | 1.00426i | ||||
\(187\) | 7.35170 | − | 7.35170i | 0.537609 | − | 0.537609i | ||||
\(188\) | −14.5340 | + | 2.13990i | −1.06000 | + | 0.156068i | ||||
\(189\) | 1.64030 | − | 0.439517i | 0.119314 | − | 0.0319701i | ||||
\(190\) | −13.9795 | + | 28.9023i | −1.01418 | + | 2.09679i | ||||
\(191\) | −6.30968 | + | 10.9287i | −0.456552 | + | 0.790772i | −0.998776 | − | 0.0494625i | \(-0.984249\pi\) |
0.542224 | + | 0.840234i | \(0.317582\pi\) | |||||||
\(192\) | 3.38977 | + | 18.9779i | 0.244636 | + | 1.36961i | ||||
\(193\) | 1.86581 | + | 3.23168i | 0.134304 | + | 0.232621i | 0.925331 | − | 0.379160i | \(-0.123787\pi\) |
−0.791027 | + | 0.611781i | \(0.790454\pi\) | |||||||
\(194\) | −7.02293 | + | 14.5198i | −0.504217 | + | 1.04246i | ||||
\(195\) | −27.6771 | + | 7.71944i | −1.98200 | + | 0.552800i | ||||
\(196\) | 7.86878 | + | 9.93658i | 0.562056 | + | 0.709755i | ||||
\(197\) | 25.9395 | + | 6.95047i | 1.84811 | + | 0.495201i | 0.999432 | − | 0.0337033i | \(-0.0107301\pi\) |
0.848682 | + | 0.528904i | \(0.177397\pi\) | |||||||
\(198\) | 11.2109 | + | 9.68117i | 0.796727 | + | 0.688011i | ||||
\(199\) | 0.729619 | + | 0.421246i | 0.0517213 | + | 0.0298613i | 0.525638 | − | 0.850709i | \(-0.323827\pi\) |
−0.473916 | + | 0.880570i | \(0.657160\pi\) | |||||||
\(200\) | 3.65242 | + | 16.3889i | 0.258265 | + | 1.15887i | ||||
\(201\) | −5.04565 | − | 2.91311i | −0.355893 | − | 0.205475i | ||||
\(202\) | 3.21820 | + | 0.614611i | 0.226432 | + | 0.0432439i | ||||
\(203\) | 3.13590 | − | 3.13590i | 0.220097 | − | 0.220097i | ||||
\(204\) | 10.7777 | + | 8.01130i | 0.754589 | + | 0.560903i | ||||
\(205\) | 0.122021 | − | 0.455388i | 0.00852231 | − | 0.0318057i | ||||
\(206\) | 0.896982 | + | 12.2501i | 0.0624957 | + | 0.853504i | ||||
\(207\) | 18.4918 | 1.28527 | ||||||||
\(208\) | −0.587794 | − | 14.4102i | −0.0407562 | − | 0.999169i | ||||
\(209\) | −25.6148 | −1.77181 | ||||||||
\(210\) | −3.00574 | − | 41.0494i | −0.207416 | − | 2.83268i | ||||
\(211\) | 0.287056 | − | 1.07131i | 0.0197617 | − | 0.0737518i | −0.955341 | − | 0.295506i | \(-0.904512\pi\) |
0.975103 | + | 0.221754i | \(0.0711784\pi\) | |||||||
\(212\) | −10.6748 | + | 14.3609i | −0.733146 | + | 0.986309i | ||||
\(213\) | −15.5406 | + | 15.5406i | −1.06482 | + | 1.06482i | ||||
\(214\) | 15.7531 | + | 3.00852i | 1.07686 | + | 0.205659i | ||||
\(215\) | −8.54465 | − | 4.93326i | −0.582740 | − | 0.336445i | ||||
\(216\) | 0.705418 | − | 1.11000i | 0.0479976 | − | 0.0755260i | ||||
\(217\) | 12.9407 | + | 7.47130i | 0.878470 | + | 0.507185i | ||||
\(218\) | −9.03450 | − | 7.80171i | −0.611894 | − | 0.528399i | ||||
\(219\) | −25.2876 | − | 6.77579i | −1.70878 | − | 0.457865i | ||||
\(220\) | −19.3475 | + | 15.3213i | −1.30441 | + | 1.03296i | ||||
\(221\) | −7.17594 | − | 7.03105i | −0.482706 | − | 0.472959i | ||||
\(222\) | 5.66896 | − | 11.7205i | 0.380476 | − | 0.786627i | ||||
\(223\) | 6.94501 | + | 12.0291i | 0.465072 | + | 0.805528i | 0.999205 | − | 0.0398723i | \(-0.0126951\pi\) |
−0.534133 | + | 0.845401i | \(0.679362\pi\) | |||||||
\(224\) | 20.4013 | + | 3.25340i | 1.36312 | + | 0.217377i | ||||
\(225\) | −8.33199 | + | 14.4314i | −0.555466 | + | 0.962095i | ||||
\(226\) | 5.79741 | − | 11.9860i | 0.385638 | − | 0.797299i | ||||
\(227\) | 11.7251 | − | 3.14174i | 0.778224 | − | 0.208524i | 0.152222 | − | 0.988346i | \(-0.451357\pi\) |
0.626002 | + | 0.779822i | \(0.284690\pi\) | |||||||
\(228\) | −4.81932 | − | 32.7323i | −0.319167 | − | 2.16775i | ||||
\(229\) | −7.51976 | + | 7.51976i | −0.496920 | + | 0.496920i | −0.910478 | − | 0.413558i | \(-0.864286\pi\) |
0.413558 | + | 0.910478i | \(0.364286\pi\) | |||||||
\(230\) | −5.77953 | + | 30.2626i | −0.381091 | + | 1.99545i | ||||
\(231\) | 28.4387 | − | 16.4191i | 1.87113 | − | 1.08030i | ||||
\(232\) | 0.146010 | − | 3.43157i | 0.00958600 | − | 0.225294i | ||||
\(233\) | − | 8.49568i | − | 0.556570i | −0.960498 | − | 0.278285i | \(-0.910234\pi\) | ||
0.960498 | − | 0.278285i | \(-0.0897660\pi\) | |||||||
\(234\) | 9.24384 | − | 10.9278i | 0.604289 | − | 0.714376i | ||||
\(235\) | 17.1765 | − | 17.1765i | 1.12047 | − | 1.12047i | ||||
\(236\) | −1.18830 | − | 2.74920i | −0.0773520 | − | 0.178958i | ||||
\(237\) | −6.72638 | + | 25.1032i | −0.436925 | + | 1.63063i | ||||
\(238\) | 11.9042 | − | 8.08639i | 0.771634 | − | 0.524163i | ||||
\(239\) | 3.51330 | 0.227257 | 0.113628 | − | 0.993523i | \(-0.463753\pi\) | ||||
0.113628 | + | 0.993523i | \(0.463753\pi\) | |||||||
\(240\) | −23.2188 | − | 21.8409i | −1.49877 | − | 1.40983i | ||||
\(241\) | −2.56875 | + | 4.44921i | −0.165468 | + | 0.286599i | −0.936821 | − | 0.349808i | \(-0.886247\pi\) |
0.771353 | + | 0.636407i | \(0.219580\pi\) | |||||||
\(242\) | −3.72116 | − | 1.79985i | −0.239205 | − | 0.115699i | ||||
\(243\) | 20.8624 | − | 5.59005i | 1.33832 | − | 0.358602i | ||||
\(244\) | −4.58388 | + | 1.98132i | −0.293453 | + | 0.126841i | ||||
\(245\) | −20.2441 | − | 5.42438i | −1.29335 | − | 0.346551i | ||||
\(246\) | 0.159679 | + | 0.458848i | 0.0101807 | + | 0.0292551i | ||||
\(247\) | 0.252426 | + | 24.7500i | 0.0160615 | + | 1.57481i | ||||
\(248\) | 11.2956 | − | 2.51733i | 0.717271 | − | 0.159851i | ||||
\(249\) | −0.977127 | + | 0.564144i | −0.0619229 | + | 0.0357512i | ||||
\(250\) | −3.31490 | − | 2.86257i | −0.209653 | − | 0.181045i | ||||
\(251\) | −2.42800 | − | 9.06141i | −0.153254 | − | 0.571951i | −0.999249 | − | 0.0387600i | \(-0.987659\pi\) |
0.845995 | − | 0.533191i | \(-0.179007\pi\) | |||||||
\(252\) | 12.7285 | + | 16.0734i | 0.801822 | + | 1.01253i | ||||
\(253\) | −23.7432 | + | 6.36197i | −1.49272 | + | 0.399973i | ||||
\(254\) | −3.74283 | − | 5.50992i | −0.234846 | − | 0.345723i | ||||
\(255\) | −22.2052 | −1.39054 | ||||||||
\(256\) | 13.3417 | − | 8.83167i | 0.833858 | − | 0.551980i | ||||
\(257\) | −2.52088 | − | 4.36629i | −0.157248 | − | 0.272362i | 0.776627 | − | 0.629960i | \(-0.216929\pi\) |
−0.933875 | + | 0.357599i | \(0.883596\pi\) | |||||||
\(258\) | 10.1404 | − | 0.742507i | 0.631315 | − | 0.0462265i | ||||
\(259\) | −9.86557 | − | 9.86557i | −0.613017 | − | 0.613017i | ||||
\(260\) | 14.9947 | + | 18.5433i | 0.929933 | + | 1.15001i | ||||
\(261\) | 2.41032 | − | 2.41032i | 0.149195 | − | 0.149195i | ||||
\(262\) | 0.158534 | + | 0.136901i | 0.00979426 | + | 0.00845780i | ||||
\(263\) | 15.3002 | − | 8.83358i | 0.943451 | − | 0.544702i | 0.0524109 | − | 0.998626i | \(-0.483309\pi\) |
0.891041 | + | 0.453924i | \(0.149976\pi\) | |||||||
\(264\) | 7.62074 | − | 24.2638i | 0.469024 | − | 1.49333i | ||||
\(265\) | − | 29.5876i | − | 1.81755i | ||||||
\(266\) | −34.8256 | − | 6.65098i | −2.13530 | − | 0.407798i | ||||
\(267\) | −4.86429 | − | 18.1538i | −0.297690 | − | 1.11099i | ||||
\(268\) | −0.557810 | + | 4.80319i | −0.0340737 | + | 0.293402i | ||||
\(269\) | −21.6518 | + | 5.80158i | −1.32013 | + | 0.353729i | −0.849028 | − | 0.528348i | \(-0.822812\pi\) |
−0.471106 | + | 0.882077i | \(0.656145\pi\) | |||||||
\(270\) | 0.158811 | + | 2.16888i | 0.00966492 | + | 0.131994i | ||||
\(271\) | −3.22911 | − | 5.59299i | −0.196155 | − | 0.339750i | 0.751124 | − | 0.660161i | \(-0.229512\pi\) |
−0.947278 | + | 0.320412i | \(0.896179\pi\) | |||||||
\(272\) | 2.55427 | − | 10.8488i | 0.154875 | − | 0.657807i | ||||
\(273\) | −16.1450 | − | 27.3167i | −0.977140 | − | 1.65328i | ||||
\(274\) | −9.52744 | − | 4.60824i | −0.575574 | − | 0.278394i | ||||
\(275\) | 5.73311 | − | 21.3963i | 0.345720 | − | 1.29024i | ||||
\(276\) | −12.5969 | − | 29.1437i | −0.758247 | − | 1.75424i | ||||
\(277\) | −8.02289 | − | 29.9418i | −0.482048 | − | 1.79903i | −0.592999 | − | 0.805204i | \(-0.702056\pi\) |
0.110950 | − | 0.993826i | \(-0.464611\pi\) | |||||||
\(278\) | −7.14772 | − | 20.5394i | −0.428691 | − | 1.23187i | ||||
\(279\) | 9.94647 | + | 5.74260i | 0.595480 | + | 0.343800i | ||||
\(280\) | −30.2829 | + | 15.8071i | −1.80975 | + | 0.944652i | ||||
\(281\) | − | 32.1422i | − | 1.91744i | −0.284347 | − | 0.958721i | \(-0.591777\pi\) | ||
0.284347 | − | 0.958721i | \(-0.408223\pi\) | |||||||
\(282\) | −4.69582 | + | 24.5881i | −0.279632 | + | 1.46420i | ||||
\(283\) | −6.23971 | − | 1.67193i | −0.370912 | − | 0.0993857i | 0.0685476 | − | 0.997648i | \(-0.478164\pi\) |
−0.439460 | + | 0.898262i | \(0.644830\pi\) | |||||||
\(284\) | 16.9567 | + | 6.72193i | 1.00619 | + | 0.398873i | ||||
\(285\) | 38.6837 | + | 38.6837i | 2.29142 | + | 2.29142i | ||||
\(286\) | −8.10930 | + | 17.2115i | −0.479513 | + | 1.01773i | ||||
\(287\) | 0.520637 | 0.0307323 | ||||||||
\(288\) | 15.6809 | + | 2.50063i | 0.924005 | + | 0.147351i | ||||
\(289\) | 4.61809 | + | 7.99876i | 0.271652 | + | 0.470515i | ||||
\(290\) | 3.19125 | + | 4.69792i | 0.187396 | + | 0.275871i | ||||
\(291\) | 19.4337 | + | 19.4337i | 1.13922 | + | 1.13922i | ||||
\(292\) | 3.16496 | + | 21.4961i | 0.185215 | + | 1.25796i | ||||
\(293\) | 7.11431 | + | 26.5510i | 0.415622 | + | 1.55112i | 0.783586 | + | 0.621284i | \(0.213389\pi\) |
−0.367963 | + | 0.929840i | \(0.619945\pi\) | |||||||
\(294\) | 20.3979 | − | 7.09844i | 1.18963 | − | 0.413989i | ||||
\(295\) | 4.28885 | + | 2.47617i | 0.249706 | + | 0.144168i | ||||
\(296\) | −10.7958 | − | 0.459347i | −0.627491 | − | 0.0266990i | ||||
\(297\) | −1.50258 | + | 0.867515i | −0.0871886 | + | 0.0503384i | ||||
\(298\) | 1.55180 | + | 4.45919i | 0.0898931 | + | 0.258314i | ||||
\(299\) | 6.38116 | + | 22.8789i | 0.369032 | + | 1.32312i | ||||
\(300\) | 28.4203 | + | 3.30054i | 1.64084 | + | 0.190557i | ||||
\(301\) | 2.82005 | − | 10.5246i | 0.162545 | − | 0.606627i | ||||
\(302\) | 2.15701 | + | 29.4583i | 0.124122 | + | 1.69513i | ||||
\(303\) | 2.79142 | − | 4.83487i | 0.160363 | − | 0.277756i | ||||
\(304\) | −23.3495 | + | 14.4500i | −1.33919 | + | 0.828762i | ||||
\(305\) | 4.12863 | − | 7.15100i | 0.236405 | − | 0.409465i | ||||
\(306\) | 9.14981 | − | 6.21537i | 0.523060 | − | 0.355309i | ||||
\(307\) | 19.3492 | + | 19.3492i | 1.10432 | + | 1.10432i | 0.993884 | + | 0.110433i | \(0.0352237\pi\) |
0.110433 | + | 0.993884i | \(0.464776\pi\) | |||||||
\(308\) | −21.8731 | − | 16.2588i | −1.24634 | − | 0.926432i | ||||
\(309\) | 20.2165 | + | 5.41700i | 1.15008 | + | 0.308163i | ||||
\(310\) | −12.5067 | + | 14.4830i | −0.710334 | + | 0.822577i | ||||
\(311\) | − | 6.83310i | − | 0.387469i | −0.981054 | − | 0.193735i | \(-0.937940\pi\) | ||
0.981054 | − | 0.193735i | \(-0.0620601\pi\) | |||||||
\(312\) | −23.5197 | − | 7.12434i | −1.33154 | − | 0.403336i | ||||
\(313\) | − | 14.4698i | − | 0.817879i | −0.912562 | − | 0.408939i | \(-0.865899\pi\) | ||
0.912562 | − | 0.408939i | \(-0.134101\pi\) | |||||||
\(314\) | −12.8363 | − | 11.0847i | −0.724395 | − | 0.625548i | ||||
\(315\) | −32.7467 | − | 8.77446i | −1.84507 | − | 0.494385i | ||||
\(316\) | 21.3393 | − | 3.14188i | 1.20043 | − | 0.176745i | ||||
\(317\) | 9.83293 | + | 9.83293i | 0.552272 | + | 0.552272i | 0.927096 | − | 0.374824i | \(-0.122297\pi\) |
−0.374824 | + | 0.927096i | \(0.622297\pi\) | |||||||
\(318\) | 17.1328 | + | 25.2217i | 0.960761 | + | 1.41436i | ||||
\(319\) | −2.26556 | + | 3.92407i | −0.126847 | + | 0.219706i | ||||
\(320\) | −8.99337 | + | 24.8808i | −0.502745 | + | 1.39088i | ||||
\(321\) | 13.6640 | − | 23.6667i | 0.762650 | − | 1.32095i | ||||
\(322\) | −33.9329 | + | 2.48465i | −1.89101 | + | 0.138464i | ||||
\(323\) | −4.95063 | + | 18.4760i | −0.275460 | + | 1.02803i | ||||
\(324\) | −11.8472 | − | 14.9605i | −0.658178 | − | 0.831137i | ||||
\(325\) | −20.7304 | − | 5.32870i | −1.14992 | − | 0.295583i | ||||
\(326\) | −8.10680 | + | 2.82116i | −0.448994 | + | 0.156250i | ||||
\(327\) | −17.6150 | + | 10.1700i | −0.974114 | + | 0.562405i | ||||
\(328\) | 0.296984 | − | 0.272742i | 0.0163982 | − | 0.0150597i | ||||
\(329\) | 23.2316 | + | 13.4127i | 1.28080 | + | 0.739469i | ||||
\(330\) | 13.8214 | + | 39.7167i | 0.760842 | + | 2.18633i | ||||
\(331\) | 2.10738 | + | 7.86485i | 0.115832 | + | 0.432291i | 0.999348 | − | 0.0361104i | \(-0.0114968\pi\) |
−0.883516 | + | 0.468401i | \(0.844830\pi\) | |||||||
\(332\) | 0.751542 | + | 0.558638i | 0.0412462 | + | 0.0306592i | ||||
\(333\) | −7.58289 | − | 7.58289i | −0.415540 | − | 0.415540i | ||||
\(334\) | 7.47456 | − | 5.07739i | 0.408990 | − | 0.277823i | ||||
\(335\) | −3.99777 | − | 6.92434i | −0.218422 | − | 0.378317i | ||||
\(336\) | 16.6613 | − | 31.0100i | 0.908946 | − | 1.69173i | ||||
\(337\) | 11.9397 | 0.650399 | 0.325199 | − | 0.945646i | \(-0.394569\pi\) | ||||
0.325199 | + | 0.945646i | \(0.394569\pi\) | |||||||
\(338\) | 16.7103 | + | 7.66590i | 0.908920 | + | 0.416970i | ||||
\(339\) | −16.0425 | − | 16.0425i | −0.871307 | − | 0.871307i | ||||
\(340\) | 7.31196 | + | 16.9166i | 0.396547 | + | 0.917432i | ||||
\(341\) | −14.7468 | − | 3.95140i | −0.798585 | − | 0.213980i | ||||
\(342\) | −26.7677 | − | 5.11209i | −1.44743 | − | 0.276430i | ||||
\(343\) | 2.41965i | 0.130649i | ||||||||
\(344\) | −3.90481 | − | 7.48079i | −0.210533 | − | 0.403337i | ||||
\(345\) | 45.4651 | + | 26.2493i | 2.44776 | + | 1.41321i | ||||
\(346\) | 3.23963 | − | 1.12739i | 0.174163 | − | 0.0606088i | ||||
\(347\) | −3.22684 | − | 12.0427i | −0.173226 | − | 0.646488i | −0.996847 | − | 0.0793476i | \(-0.974716\pi\) |
0.823621 | − | 0.567141i | \(-0.191950\pi\) | |||||||
\(348\) | −5.44069 | − | 2.15679i | −0.291652 | − | 0.115616i | ||||
\(349\) | −7.10822 | + | 26.5282i | −0.380494 | + | 1.42002i | 0.464654 | + | 0.885492i | \(0.346179\pi\) |
−0.845148 | + | 0.534532i | \(0.820488\pi\) | |||||||
\(350\) | 13.3503 | − | 27.6015i | 0.713604 | − | 1.47536i | ||||
\(351\) | 0.853035 | + | 1.44330i | 0.0455316 | + | 0.0770378i | ||||
\(352\) | −20.9943 | + | 2.18412i | −1.11900 | + | 0.116414i | ||||
\(353\) | −17.4243 | − | 30.1797i | −0.927401 | − | 1.60631i | −0.787653 | − | 0.616119i | \(-0.788704\pi\) |
−0.139748 | − | 0.990187i | \(-0.544629\pi\) | |||||||
\(354\) | −5.08982 | + | 0.372689i | −0.270521 | + | 0.0198082i | ||||
\(355\) | −29.1332 | + | 7.80620i | −1.54623 | + | 0.414310i | ||||
\(356\) | −12.2283 | + | 9.68364i | −0.648101 | + | 0.513232i | ||||
\(357\) | −6.34670 | − | 23.6862i | −0.335903 | − | 1.25361i | ||||
\(358\) | 5.05670 | − | 26.4777i | 0.267255 | − | 1.39939i | ||||
\(359\) | − | 4.13815i | − | 0.218403i | −0.994020 | − | 0.109202i | \(-0.965171\pi\) | ||
0.994020 | − | 0.109202i | \(-0.0348294\pi\) | |||||||
\(360\) | −23.2761 | + | 12.1496i | −1.22676 | + | 0.640342i | ||||
\(361\) | 24.3571 | − | 14.0626i | 1.28195 | − | 0.740135i | ||||
\(362\) | 16.5387 | − | 19.1520i | 0.869253 | − | 1.00661i | ||||
\(363\) | −4.98051 | + | 4.98051i | −0.261409 | + | 0.261409i | ||||
\(364\) | −15.4943 | + | 21.2949i | −0.812124 | + | 1.11616i | ||||
\(365\) | −25.4045 | − | 25.4045i | −1.32973 | − | 1.32973i | ||||
\(366\) | 0.621403 | + | 8.48650i | 0.0324812 | + | 0.443597i | ||||
\(367\) | 9.29156 | + | 16.0935i | 0.485015 | + | 0.840071i | 0.999852 | − | 0.0172172i | \(-0.00548067\pi\) |
−0.514836 | + | 0.857288i | \(0.672147\pi\) | |||||||
\(368\) | −18.0545 | + | 19.1935i | −0.941156 | + | 1.00053i | ||||
\(369\) | 0.400173 | 0.0208322 | ||||||||
\(370\) | 14.7797 | − | 10.0397i | 0.768359 | − | 0.521939i | ||||
\(371\) | 31.5610 | − | 8.45675i | 1.63857 | − | 0.439053i | ||||
\(372\) | 2.27481 | − | 19.5879i | 0.117943 | − | 1.01559i | ||||
\(373\) | 4.18014 | + | 15.6005i | 0.216439 | + | 0.807762i | 0.985655 | + | 0.168773i | \(0.0539805\pi\) |
−0.769216 | + | 0.638989i | \(0.779353\pi\) | |||||||
\(374\) | −9.60986 | + | 11.1284i | −0.496914 | + | 0.575434i | ||||
\(375\) | −6.46324 | + | 3.73155i | −0.333760 | + | 0.192697i | ||||
\(376\) | 20.2783 | − | 4.51920i | 1.04577 | − | 0.233060i | ||||
\(377\) | 3.81391 | + | 2.15040i | 0.196426 | + | 0.110751i | ||||
\(378\) | −2.26815 | + | 0.789314i | −0.116661 | + | 0.0405979i | ||||
\(379\) | −23.1794 | − | 6.21090i | −1.19065 | − | 0.319033i | −0.391505 | − | 0.920176i | \(-0.628045\pi\) |
−0.799141 | + | 0.601143i | \(0.794712\pi\) | |||||||
\(380\) | 16.7323 | − | 42.2086i | 0.858346 | − | 2.16526i | ||||
\(381\) | −10.9633 | + | 2.93761i | −0.561667 | + | 0.150498i | ||||
\(382\) | 7.77074 | − | 16.0659i | 0.397585 | − | 0.822001i | ||||
\(383\) | 2.67972 | − | 4.64141i | 0.136927 | − | 0.237165i | −0.789405 | − | 0.613873i | \(-0.789611\pi\) |
0.926332 | + | 0.376708i | \(0.122944\pi\) | |||||||
\(384\) | −6.74102 | − | 26.4170i | −0.344001 | − | 1.34809i | ||||
\(385\) | 45.0651 | 2.29673 | ||||||||
\(386\) | −2.96536 | − | 4.36538i | −0.150933 | − | 0.222192i | ||||
\(387\) | 2.16755 | − | 8.08942i | 0.110183 | − | 0.411208i | ||||
\(388\) | 8.40586 | − | 21.2045i | 0.426743 | − | 1.07650i | ||||
\(389\) | 11.0330 | − | 11.0330i | 0.559397 | − | 0.559397i | −0.369738 | − | 0.929136i | \(-0.620553\pi\) |
0.929136 | + | 0.369738i | \(0.120553\pi\) | |||||||
\(390\) | 38.2396 | − | 13.7462i | 1.93634 | − | 0.696064i | ||||
\(391\) | 18.3556i | 0.928283i | ||||||||
\(392\) | −12.1246 | − | 13.2023i | −0.612387 | − | 0.666815i | ||||
\(393\) | 0.309102 | − | 0.178460i | 0.0155921 | − | 0.00900212i | ||||
\(394\) | −37.3039 | − | 7.12428i | −1.87934 | − | 0.358916i | ||||
\(395\) | −25.2192 | + | 25.2192i | −1.26892 | + | 1.26892i | ||||
\(396\) | −16.8122 | − | 12.4969i | −0.844843 | − | 0.627991i | ||||
\(397\) | −4.23444 | + | 1.13461i | −0.212520 | + | 0.0569447i | −0.363508 | − | 0.931591i | \(-0.618421\pi\) |
0.150988 | + | 0.988536i | \(0.451755\pi\) | |||||||
\(398\) | −1.07259 | − | 0.518789i | −0.0537639 | − | 0.0260045i | ||||
\(399\) | −30.2072 | + | 52.3204i | −1.51225 | + | 2.61930i | ||||
\(400\) | −6.84408 | − | 22.7383i | −0.342204 | − | 1.13691i | ||||
\(401\) | 9.11661 | + | 15.7904i | 0.455262 | + | 0.788536i | 0.998703 | − | 0.0509106i | \(-0.0162123\pi\) |
−0.543441 | + | 0.839447i | \(0.682879\pi\) | |||||||
\(402\) | 7.41743 | + | 3.58766i | 0.369948 | + | 0.178936i | ||||
\(403\) | −3.67267 | + | 14.2879i | −0.182949 | + | 0.711730i | ||||
\(404\) | −4.60254 | − | 0.534508i | −0.228985 | − | 0.0265928i | ||||
\(405\) | 30.4794 | + | 8.16692i | 1.51453 | + | 0.405818i | ||||
\(406\) | −4.09913 | + | 4.74686i | −0.203436 | + | 0.235583i | ||||
\(407\) | 12.3451 | + | 7.12747i | 0.611926 | + | 0.353296i | ||||
\(408\) | −16.0286 | − | 10.1864i | −0.793535 | − | 0.504300i | ||||
\(409\) | 18.6321 | + | 10.7572i | 0.921297 | + | 0.531911i | 0.884049 | − | 0.467395i | \(-0.154807\pi\) |
0.0372483 | + | 0.999306i | \(0.488141\pi\) | |||||||
\(410\) | −0.125072 | + | 0.654898i | −0.00617688 | + | 0.0323431i | ||||
\(411\) | −12.7518 | + | 12.7518i | −0.629001 | + | 0.629001i | ||||
\(412\) | −2.53027 | − | 17.1853i | −0.124658 | − | 0.846661i | ||||
\(413\) | −1.41548 | + | 5.28264i | −0.0696512 | + | 0.259942i | ||||
\(414\) | −26.0815 | + | 1.90976i | −1.28184 | + | 0.0938594i | ||||
\(415\) | −1.54840 | −0.0760077 | ||||||||
\(416\) | 2.31727 | + | 20.2640i | 0.113614 | + | 0.993525i | ||||
\(417\) | −37.0573 | −1.81470 | ||||||||
\(418\) | 36.1281 | − | 2.64539i | 1.76708 | − | 0.129390i | ||||
\(419\) | 3.23143 | − | 12.0599i | 0.157866 | − | 0.589163i | −0.840977 | − | 0.541071i | \(-0.818019\pi\) |
0.998843 | − | 0.0480925i | \(-0.0153142\pi\) | |||||||
\(420\) | 8.47881 | + | 57.5872i | 0.413724 | + | 2.80997i | ||||
\(421\) | −26.0539 | + | 26.0539i | −1.26979 | + | 1.26979i | −0.323592 | + | 0.946197i | \(0.604891\pi\) |
−0.946197 | + | 0.323592i | \(0.895109\pi\) | |||||||
\(422\) | −0.294234 | + | 1.54066i | −0.0143231 | + | 0.0749980i | ||||
\(423\) | 17.8563 | + | 10.3093i | 0.868201 | + | 0.501256i | ||||
\(424\) | 13.5730 | − | 21.3576i | 0.659162 | − | 1.03722i | ||||
\(425\) | −14.3251 | − | 8.27061i | −0.694871 | − | 0.401184i | ||||
\(426\) | 20.3140 | − | 23.5240i | 0.984219 | − | 1.13974i | ||||
\(427\) | 8.80801 | + | 2.36010i | 0.426249 | + | 0.114213i | ||||
\(428\) | −22.5295 | − | 2.61642i | −1.08900 | − | 0.126470i | ||||
\(429\) | 23.1570 | + | 22.6895i | 1.11803 | + | 1.09546i | ||||
\(430\) | 12.5612 | + | 6.07559i | 0.605754 | + | 0.292991i | ||||
\(431\) | 3.47069 | + | 6.01142i | 0.167177 | + | 0.289560i | 0.937426 | − | 0.348184i | \(-0.113201\pi\) |
−0.770249 | + | 0.637743i | \(0.779868\pi\) | |||||||
\(432\) | −0.880312 | + | 1.63844i | −0.0423540 | + | 0.0788295i | ||||
\(433\) | −6.31803 | + | 10.9431i | −0.303625 | + | 0.525894i | −0.976954 | − | 0.213449i | \(-0.931530\pi\) |
0.673329 | + | 0.739343i | \(0.264864\pi\) | |||||||
\(434\) | −19.0236 | − | 9.20135i | −0.913163 | − | 0.441679i | ||||
\(435\) | 9.34762 | − | 2.50469i | 0.448184 | − | 0.120091i | ||||
\(436\) | 13.5483 | + | 10.0708i | 0.648847 | + | 0.482303i | ||||
\(437\) | 31.9773 | − | 31.9773i | 1.52968 | − | 1.52968i | ||||
\(438\) | 36.3663 | + | 6.94523i | 1.73765 | + | 0.331856i | ||||
\(439\) | −0.128570 | + | 0.0742300i | −0.00613632 | + | 0.00354280i | −0.503065 | − | 0.864249i | \(-0.667794\pi\) |
0.496929 | + | 0.867791i | \(0.334461\pi\) | |||||||
\(440\) | 25.7062 | − | 23.6079i | 1.22549 | − | 1.12546i | ||||
\(441\) | − | 17.7895i | − | 0.847119i | ||||||
\(442\) | 10.8474 | + | 9.17575i | 0.515956 | + | 0.436446i | ||||
\(443\) | 27.4219 | − | 27.4219i | 1.30285 | − | 1.30285i | 0.376392 | − | 0.926461i | \(-0.377165\pi\) |
0.926461 | − | 0.376392i | \(-0.122835\pi\) | |||||||
\(444\) | −6.78527 | + | 17.1165i | −0.322015 | + | 0.812311i | ||||
\(445\) | 6.67546 | − | 24.9131i | 0.316447 | − | 1.18100i | ||||
\(446\) | −11.0378 | − | 16.2490i | −0.522656 | − | 0.769415i | ||||
\(447\) | 8.04528 | 0.380529 | ||||||||
\(448\) | −29.1108 | − | 2.48176i | −1.37536 | − | 0.117252i | ||||
\(449\) | −4.95110 | + | 8.57556i | −0.233657 | + | 0.404706i | −0.958882 | − | 0.283807i | \(-0.908403\pi\) |
0.725225 | + | 0.688512i | \(0.241736\pi\) | |||||||
\(450\) | 10.2613 | − | 21.2151i | 0.483724 | − | 1.00009i | ||||
\(451\) | −0.513816 | + | 0.137676i | −0.0241946 | + | 0.00648293i | ||||
\(452\) | −6.93902 | + | 17.5043i | −0.326384 | + | 0.823332i | ||||
\(453\) | 48.6155 | + | 13.0265i | 2.28416 | + | 0.612038i | ||||
\(454\) | −16.2131 | + | 5.64215i | −0.760918 | + | 0.264799i | ||||
\(455\) | −0.444103 | − | 43.5436i | −0.0208199 | − | 2.04136i | ||||
\(456\) | 10.1778 | + | 45.6692i | 0.476620 | + | 2.13865i | ||||
\(457\) | −34.6636 | + | 20.0130i | −1.62149 | + | 0.936170i | −0.634974 | + | 0.772534i | \(0.718989\pi\) |
−0.986521 | + | 0.163637i | \(0.947678\pi\) | |||||||
\(458\) | 9.82954 | − | 11.3828i | 0.459304 | − | 0.531881i | ||||
\(459\) | 0.335333 | + | 1.25148i | 0.0156520 | + | 0.0584141i | ||||
\(460\) | 5.02628 | − | 43.2803i | 0.234352 | − | 2.01796i | ||||
\(461\) | 8.15036 | − | 2.18388i | 0.379600 | − | 0.101714i | −0.0639733 | − | 0.997952i | \(-0.520377\pi\) |
0.443573 | + | 0.896238i | \(0.353711\pi\) | |||||||
\(462\) | −38.4153 | + | 26.0951i | −1.78724 | + | 1.21405i | ||||
\(463\) | 21.0993 | 0.980570 | 0.490285 | − | 0.871562i | \(-0.336893\pi\) | ||||
0.490285 | + | 0.871562i | \(0.336893\pi\) | |||||||
\(464\) | 0.148461 | + | 4.85510i | 0.00689212 | + | 0.225392i | ||||
\(465\) | 16.3033 | + | 28.2382i | 0.756049 | + | 1.30951i | ||||
\(466\) | 0.877398 | + | 11.9826i | 0.0406447 | + | 0.555084i | ||||
\(467\) | −13.9906 | − | 13.9906i | −0.647408 | − | 0.647408i | 0.304958 | − | 0.952366i | \(-0.401358\pi\) |
−0.952366 | + | 0.304958i | \(0.901358\pi\) | |||||||
\(468\) | −11.9093 | + | 16.3677i | −0.550506 | + | 0.756598i | ||||
\(469\) | 6.24353 | − | 6.24353i | 0.288300 | − | 0.288300i | ||||
\(470\) | −22.4525 | + | 26.0003i | −1.03566 | + | 1.19931i | ||||
\(471\) | −25.0276 | + | 14.4497i | −1.15321 | + | 0.665807i | ||||
\(472\) | 1.95996 | + | 3.75486i | 0.0902143 | + | 0.172831i | ||||
\(473\) | 11.1324i | 0.511869i | ||||||||
\(474\) | 6.89459 | − | 36.1012i | 0.316679 | − | 1.65818i | ||||
\(475\) | 10.5476 | + | 39.3641i | 0.483956 | + | 1.80615i | ||||
\(476\) | −15.9550 | + | 12.6348i | −0.731296 | + | 0.579114i | ||||
\(477\) | 24.2585 | − | 6.50004i | 1.11072 | − | 0.297616i | ||||
\(478\) | −4.95529 | + | 0.362839i | −0.226650 | + | 0.0165959i | ||||
\(479\) | −16.2487 | − | 28.1436i | −0.742423 | − | 1.28591i | −0.951389 | − | 0.307991i | \(-0.900343\pi\) |
0.208966 | − | 0.977923i | \(-0.432990\pi\) | |||||||
\(480\) | 35.0043 | + | 28.4073i | 1.59772 | + | 1.29661i | ||||
\(481\) | 6.76518 | − | 11.9986i | 0.308466 | − | 0.547089i | ||||
\(482\) | 3.16357 | − | 6.54062i | 0.144097 | − | 0.297917i | ||||
\(483\) | −15.0052 | + | 56.0000i | −0.682759 | + | 2.54809i | ||||
\(484\) | 5.43435 | + | 2.15427i | 0.247016 | + | 0.0979215i | ||||
\(485\) | 9.76177 | + | 36.4314i | 0.443259 | + | 1.65427i | ||||
\(486\) | −28.8477 | + | 10.0390i | −1.30856 | + | 0.455378i | ||||
\(487\) | 23.9015 | + | 13.7995i | 1.08308 | + | 0.625316i | 0.931725 | − | 0.363163i | \(-0.118303\pi\) |
0.151354 | + | 0.988480i | \(0.451637\pi\) | |||||||
\(488\) | 6.26066 | − | 3.26793i | 0.283407 | − | 0.147932i | ||||
\(489\) | 14.6263i | 0.661425i | ||||||||
\(490\) | 29.1132 | + | 5.56003i | 1.31520 | + | 0.251176i | ||||
\(491\) | −40.2542 | − | 10.7861i | −1.81664 | − | 0.486768i | −0.820280 | − | 0.571962i | \(-0.806183\pi\) |
−0.996364 | + | 0.0851933i | \(0.972849\pi\) | |||||||
\(492\) | −0.272605 | − | 0.630685i | −0.0122900 | − | 0.0284335i | ||||
\(493\) | 2.39257 | + | 2.39257i | 0.107756 | + | 0.107756i | ||||
\(494\) | −2.91211 | − | 34.8823i | −0.131022 | − | 1.56943i | ||||
\(495\) | 34.6380 | 1.55686 | ||||||||
\(496\) | −15.6718 | + | 4.71710i | −0.703683 | + | 0.211804i | ||||
\(497\) | −16.6537 | − | 28.8451i | −0.747021 | − | 1.29388i | ||||
\(498\) | 1.31991 | − | 0.896604i | 0.0591468 | − | 0.0401778i | ||||
\(499\) | −23.5197 | − | 23.5197i | −1.05288 | − | 1.05288i | −0.998521 | − | 0.0543635i | \(-0.982687\pi\) |
−0.0543635 | − | 0.998521i | \(-0.517313\pi\) | |||||||
\(500\) | 4.97110 | + | 3.69513i | 0.222314 | + | 0.165251i | ||||
\(501\) | −3.98505 | − | 14.8724i | −0.178039 | − | 0.664451i | ||||
\(502\) | 4.36036 | + | 12.5298i | 0.194613 | + | 0.559233i | ||||
\(503\) | −0.355066 | − | 0.204998i | −0.0158316 | − | 0.00914039i | 0.492063 | − | 0.870559i | \(-0.336243\pi\) |
−0.507895 | + | 0.861419i | \(0.669576\pi\) | |||||||
\(504\) | −19.6128 | − | 21.3559i | −0.873622 | − | 0.951270i | ||||
\(505\) | 6.63509 | − | 3.83077i | 0.295258 | − | 0.170467i | ||||
\(506\) | 32.8312 | − | 11.4253i | 1.45953 | − | 0.507915i | ||||
\(507\) | 21.6952 | − | 22.5988i | 0.963519 | − | 1.00365i | ||||
\(508\) | 5.84807 | + | 7.38485i | 0.259466 | + | 0.327650i | ||||
\(509\) | 3.52551 | − | 13.1574i | 0.156265 | − | 0.583190i | −0.842728 | − | 0.538339i | \(-0.819052\pi\) |
0.998994 | − | 0.0448510i | \(-0.0142813\pi\) | |||||||
\(510\) | 31.3190 | − | 2.29326i | 1.38683 | − | 0.101547i | ||||
\(511\) | 19.8378 | − | 34.3600i | 0.877571 | − | 1.52000i | ||||
\(512\) | −17.9056 | + | 13.8344i | −0.791322 | + | 0.611400i | ||||
\(513\) | 1.59602 | − | 2.76439i | 0.0704661 | − | 0.122051i | ||||
\(514\) | 4.00647 | + | 5.89803i | 0.176718 | + | 0.260151i | ||||
\(515\) | 20.3100 | + | 20.3100i | 0.894964 | + | 0.894964i | ||||
\(516\) | −14.2257 | + | 2.09452i | −0.626254 | + | 0.0922061i | ||||
\(517\) | −26.4740 | − | 7.09369i | −1.16433 | − | 0.311980i | ||||
\(518\) | 14.9337 | + | 12.8959i | 0.656147 | + | 0.566613i | ||||
\(519\) | − | 5.84495i | − | 0.256565i | ||||||
\(520\) | −23.0642 | − | 24.6056i | −1.01143 | − | 1.07903i | ||||
\(521\) | 36.1745i | 1.58483i | 0.609979 | + | 0.792417i | \(0.291178\pi\) | ||||
−0.609979 | + | 0.792417i | \(0.708822\pi\) | |||||||
\(522\) | −3.15068 | + | 3.64853i | −0.137901 | + | 0.159692i | ||||
\(523\) | −31.8439 | − | 8.53256i | −1.39244 | − | 0.373103i | −0.516815 | − | 0.856097i | \(-0.672882\pi\) |
−0.875623 | + | 0.482994i | \(0.839549\pi\) | |||||||
\(524\) | −0.237741 | − | 0.176718i | −0.0103858 | − | 0.00771997i | ||||
\(525\) | −36.9427 | − | 36.9427i | −1.61231 | − | 1.61231i | ||||
\(526\) | −20.6677 | + | 14.0394i | −0.901154 | + | 0.612145i | ||||
\(527\) | −5.70030 | + | 9.87321i | −0.248309 | + | 0.430084i | ||||
\(528\) | −8.24271 | + | 35.0096i | −0.358718 | + | 1.52360i | ||||
\(529\) | 10.1986 | − | 17.6645i | 0.443416 | − | 0.768020i | ||||
\(530\) | 3.05568 | + | 41.7315i | 0.132730 | + | 1.81270i | ||||
\(531\) | −1.08797 | + | 4.06035i | −0.0472138 | + | 0.176204i | ||||
\(532\) | 49.8062 | + | 5.78416i | 2.15937 | + | 0.250775i | ||||
\(533\) | 0.138092 | + | 0.495112i | 0.00598142 | + | 0.0214457i | ||||
\(534\) | 8.73562 | + | 25.1024i | 0.378027 | + | 1.08629i | ||||
\(535\) | 32.4788 | − | 18.7516i | 1.40418 | − | 0.810704i | ||||
\(536\) | 0.290703 | − | 6.83221i | 0.0125565 | − | 0.295107i | ||||
\(537\) | −39.7788 | − | 22.9663i | −1.71658 | − | 0.991070i | ||||
\(538\) | 29.9393 | − | 10.4189i | 1.29078 | − | 0.449190i | ||||
\(539\) | 6.12034 | + | 22.8414i | 0.263622 | + | 0.983850i | ||||
\(540\) | −0.447985 | − | 3.04267i | −0.0192782 | − | 0.130936i | ||||
\(541\) | −13.1581 | − | 13.1581i | −0.565709 | − | 0.565709i | 0.365214 | − | 0.930923i | \(-0.380996\pi\) |
−0.930923 | + | 0.365214i | \(0.880996\pi\) | |||||||
\(542\) | 5.13208 | + | 7.55507i | 0.220442 | + | 0.324518i | ||||
\(543\) | −21.5592 | − | 37.3417i | −0.925195 | − | 1.60249i | ||||
\(544\) | −2.48221 | + | 15.5654i | −0.106424 | + | 0.667360i | ||||
\(545\) | −27.9135 | −1.19568 | ||||||||
\(546\) | 25.5927 | + | 36.8612i | 1.09526 | + | 1.57751i | ||||
\(547\) | −10.3233 | − | 10.3233i | −0.441392 | − | 0.441392i | 0.451087 | − | 0.892480i | \(-0.351036\pi\) |
−0.892480 | + | 0.451087i | \(0.851036\pi\) | |||||||
\(548\) | 13.9138 | + | 5.51567i | 0.594367 | + | 0.235618i | ||||
\(549\) | 6.77002 | + | 1.81402i | 0.288937 | + | 0.0774205i | ||||
\(550\) | −5.87648 | + | 30.7702i | −0.250574 | + | 1.31205i | ||||
\(551\) | − | 8.33619i | − | 0.355133i | ||||||
\(552\) | 20.7770 | + | 39.8044i | 0.884329 | + | 1.69419i | ||||
\(553\) | −34.1095 | − | 19.6931i | −1.45048 | − | 0.837436i | ||||
\(554\) | 14.4080 | + | 41.4025i | 0.612139 | + | 1.75902i | ||||
\(555\) | −7.87977 | − | 29.4077i | −0.334478 | − | 1.24829i | ||||
\(556\) | 12.2026 | + | 28.2314i | 0.517507 | + | 1.19728i | ||||
\(557\) | −7.24872 | + | 27.0526i | −0.307138 | + | 1.14626i | 0.623951 | + | 0.781464i | \(0.285527\pi\) |
−0.931089 | + | 0.364792i | \(0.881140\pi\) | |||||||
\(558\) | −14.6220 | − | 7.07235i | −0.618997 | − | 0.299396i | ||||
\(559\) | 10.7566 | − | 0.109707i | 0.454954 | − | 0.00464010i | ||||
\(560\) | 41.0797 | − | 25.4224i | 1.73593 | − | 1.07429i | ||||
\(561\) | 12.5271 | + | 21.6975i | 0.528894 | + | 0.916071i | ||||
\(562\) | 3.31951 | + | 45.3346i | 0.140025 | + | 1.91232i | ||||
\(563\) | 19.4048 | − | 5.19950i | 0.817815 | − | 0.219133i | 0.174424 | − | 0.984671i | \(-0.444194\pi\) |
0.643391 | + | 0.765538i | \(0.277527\pi\) | |||||||
\(564\) | 4.08381 | − | 35.1649i | 0.171960 | − | 1.48071i | ||||
\(565\) | −8.05831 | − | 30.0740i | −0.339016 | − | 1.26522i | ||||
\(566\) | 8.97339 | + | 1.71374i | 0.377180 | + | 0.0720337i | ||||
\(567\) | 34.8465i | 1.46342i | ||||||||
\(568\) | −24.6105 | − | 7.72965i | −1.03263 | − | 0.324329i | ||||
\(569\) | −2.23116 | + | 1.28816i | −0.0935352 | + | 0.0540026i | −0.546038 | − | 0.837760i | \(-0.683865\pi\) |
0.452503 | + | 0.891763i | \(0.350531\pi\) | |||||||
\(570\) | −58.5560 | − | 50.5658i | −2.45264 | − | 2.11797i | ||||
\(571\) | −24.9092 | + | 24.9092i | −1.04242 | + | 1.04242i | −0.0433595 | + | 0.999060i | \(0.513806\pi\) |
−0.999060 | + | 0.0433595i | \(0.986194\pi\) | |||||||
\(572\) | 9.66013 | − | 25.1132i | 0.403910 | − | 1.05003i | ||||
\(573\) | −21.5030 | − | 21.5030i | −0.898302 | − | 0.898302i | ||||
\(574\) | −0.734326 | + | 0.0537692i | −0.0306502 | + | 0.00224428i | ||||
\(575\) | 19.5538 | + | 33.8681i | 0.815448 | + | 1.41240i | ||||
\(576\) | −22.3752 | − | 1.90753i | −0.932299 | − | 0.0794804i | ||||
\(577\) | 11.3178 | 0.471166 | 0.235583 | − | 0.971854i | \(-0.424300\pi\) | ||||
0.235583 | + | 0.971854i | \(0.424300\pi\) | |||||||
\(578\) | −7.33960 | − | 10.8048i | −0.305287 | − | 0.449421i | ||||
\(579\) | −8.68597 | + | 2.32740i | −0.360977 | + | 0.0967234i | ||||
\(580\) | −4.98624 | − | 6.29654i | −0.207042 | − | 0.261450i | ||||
\(581\) | −0.442563 | − | 1.65167i | −0.0183606 | − | 0.0685228i | ||||
\(582\) | −29.4171 | − | 25.4030i | −1.21938 | − | 1.05299i | ||||
\(583\) | −28.9112 | + | 16.6919i | −1.19738 | + | 0.691308i | ||||
\(584\) | −6.68400 | − | 29.9920i | −0.276586 | − | 1.24108i | ||||
\(585\) | −0.341347 | − | 33.4685i | −0.0141130 | − | 1.38375i | ||||
\(586\) | −12.7764 | − | 36.7137i | −0.527787 | − | 1.51663i | ||||
\(587\) | 43.9722 | + | 11.7823i | 1.81493 | + | 0.486309i | 0.996139 | − | 0.0877856i | \(-0.0279790\pi\) |
0.818789 | + | 0.574094i | \(0.194646\pi\) | |||||||
\(588\) | −28.0368 | + | 12.1185i | −1.15622 | + | 0.499759i | ||||
\(589\) | 27.1306 | − | 7.26963i | 1.11790 | − | 0.299540i | ||||
\(590\) | −6.30488 | − | 3.04954i | −0.259568 | − | 0.125548i | ||||
\(591\) | −32.3568 | + | 56.0436i | −1.33098 | + | 2.30533i | ||||
\(592\) | 15.2742 | − | 0.467059i | 0.627765 | − | 0.0191960i | ||||
\(593\) | −43.9585 | −1.80516 | −0.902580 | − | 0.430522i | \(-0.858329\pi\) | ||||
−0.902580 | + | 0.430522i | \(0.858329\pi\) | |||||||
\(594\) | 2.02970 | − | 1.37876i | 0.0832797 | − | 0.0565711i | ||||
\(595\) | 8.70983 | − | 32.5055i | 0.357068 | − | 1.33260i | ||||
\(596\) | −2.64924 | − | 6.12915i | −0.108517 | − | 0.251060i | ||||
\(597\) | −1.43558 | + | 1.43558i | −0.0587545 | + | 0.0587545i | ||||
\(598\) | −11.3631 | − | 31.6102i | −0.464670 | − | 1.29264i | ||||
\(599\) | 19.5769i | 0.799891i | 0.916539 | + | 0.399946i | \(0.130971\pi\) | ||||
−0.916539 | + | 0.399946i | \(0.869029\pi\) | |||||||
\(600\) | −40.4259 | − | 1.72008i | −1.65038 | − | 0.0702218i | ||||
\(601\) | 37.8441 | − | 21.8493i | 1.54369 | − | 0.891252i | 0.545092 | − | 0.838376i | \(-0.316495\pi\) |
0.998601 | − | 0.0528759i | \(-0.0168388\pi\) | |||||||
\(602\) | −2.89057 | + | 15.1355i | −0.117811 | + | 0.616877i | ||||
\(603\) | 4.79891 | − | 4.79891i | 0.195427 | − | 0.195427i | ||||
\(604\) | −6.08465 | − | 41.3263i | −0.247581 | − | 1.68154i | ||||
\(605\) | −9.33672 | + | 2.50177i | −0.379592 | + | 0.101711i | ||||
\(606\) | −3.43779 | + | 7.10757i | −0.139651 | + | 0.288725i | ||||
\(607\) | 10.8339 | − | 18.7648i | 0.439734 | − | 0.761641i | −0.557935 | − | 0.829885i | \(-0.688406\pi\) |
0.997669 | + | 0.0682435i | \(0.0217395\pi\) | |||||||
\(608\) | 31.4407 | − | 22.7922i | 1.27509 | − | 0.924346i | ||||
\(609\) | 5.34349 | + | 9.25520i | 0.216529 | + | 0.375039i | ||||
\(610\) | −5.08466 | + | 10.5124i | −0.205872 | + | 0.425636i | ||||
\(611\) | −6.59330 | + | 25.6501i | −0.266737 | + | 1.03769i | ||||
\(612\) | −12.2633 | + | 9.71135i | −0.495716 | + | 0.392558i | ||||
\(613\) | −22.2681 | − | 5.96673i | −0.899402 | − | 0.240994i | −0.220642 | − | 0.975355i | \(-0.570815\pi\) |
−0.678759 | + | 0.734361i | \(0.737482\pi\) | |||||||
\(614\) | −29.2891 | − | 25.2925i | −1.18201 | − | 1.02072i | ||||
\(615\) | 0.983889 | + | 0.568048i | 0.0396742 | + | 0.0229059i | ||||
\(616\) | 32.5298 | + | 20.6731i | 1.31066 | + | 0.832942i | ||||
\(617\) | 9.87594 | + | 5.70188i | 0.397590 | + | 0.229549i | 0.685444 | − | 0.728126i | \(-0.259608\pi\) |
−0.287853 | + | 0.957674i | \(0.592942\pi\) | |||||||
\(618\) | −29.0736 | − | 5.55247i | −1.16951 | − | 0.223353i | ||||
\(619\) | 30.6367 | − | 30.6367i | 1.23139 | − | 1.23139i | 0.267964 | − | 0.963429i | \(-0.413649\pi\) |
0.963429 | − | 0.267964i | \(-0.0863507\pi\) | |||||||
\(620\) | 16.1442 | − | 21.7190i | 0.648367 | − | 0.872254i | ||||
\(621\) | 0.792811 | − | 2.95881i | 0.0318144 | − | 0.118733i | ||||
\(622\) | 0.705693 | + | 9.63766i | 0.0282957 | + | 0.386435i | ||||
\(623\) | 28.4828 | 1.14114 | ||||||||
\(624\) | 33.9088 | + | 7.61942i | 1.35744 | + | 0.305021i | ||||
\(625\) | 19.4405 | 0.777621 | ||||||||
\(626\) | 1.49437 | + | 20.4087i | 0.0597272 | + | 0.815695i | ||||
\(627\) | 15.9759 | − | 59.6228i | 0.638015 | − | 2.38110i | ||||
\(628\) | 19.2496 | + | 14.3087i | 0.768142 | + | 0.570978i | ||||
\(629\) | 7.52703 | − | 7.52703i | 0.300123 | − | 0.300123i | ||||
\(630\) | 47.0934 | + | 8.99389i | 1.87625 | + | 0.358325i | ||||
\(631\) | −25.5498 | − | 14.7512i | −1.01712 | − | 0.587236i | −0.103854 | − | 0.994593i | \(-0.533117\pi\) |
−0.913269 | + | 0.407356i | \(0.866451\pi\) | |||||||
\(632\) | −29.7733 | + | 6.63526i | −1.18432 | + | 0.263937i | ||||
\(633\) | 2.31461 | + | 1.33634i | 0.0919975 | + | 0.0531148i | ||||
\(634\) | −14.8842 | − | 12.8532i | −0.591128 | − | 0.510467i | ||||
\(635\) | −15.0454 | − | 4.03139i | −0.597057 | − | 0.159981i | ||||
\(636\) | −26.7696 | − | 33.8042i | −1.06148 | − | 1.34042i | ||||
\(637\) | 22.0100 | − | 6.13881i | 0.872066 | − | 0.243228i | ||||
\(638\) | 2.79017 | − | 5.76863i | 0.110464 | − | 0.228382i | ||||
\(639\) | −12.8004 | − | 22.1709i | −0.506376 | − | 0.877069i | ||||
\(640\) | 10.1150 | − | 36.0216i | 0.399831 | − | 1.42388i | ||||
\(641\) | −4.47481 | + | 7.75060i | −0.176744 | + | 0.306130i | −0.940764 | − | 0.339063i | \(-0.889890\pi\) |
0.764019 | + | 0.645194i | \(0.223223\pi\) | |||||||
\(642\) | −16.8280 | + | 34.7916i | −0.664149 | + | 1.37312i | ||||
\(643\) | −27.0746 | + | 7.25463i | −1.06772 | + | 0.286095i | −0.749556 | − | 0.661941i | \(-0.769733\pi\) |
−0.318164 | + | 0.948036i | \(0.603066\pi\) | |||||||
\(644\) | 47.6036 | − | 7.00889i | 1.87585 | − | 0.276189i | ||||
\(645\) | 16.8123 | − | 16.8123i | 0.661982 | − | 0.661982i | ||||
\(646\) | 5.07443 | − | 26.5705i | 0.199651 | − | 1.04540i | ||||
\(647\) | 12.1204 | − | 6.99773i | 0.476503 | − | 0.275109i | −0.242455 | − | 0.970163i | \(-0.577953\pi\) |
0.718958 | + | 0.695054i | \(0.244619\pi\) | |||||||
\(648\) | 18.2548 | + | 19.8773i | 0.717116 | + | 0.780853i | ||||
\(649\) | − | 5.58773i | − | 0.219338i | ||||||
\(650\) | 29.7893 | + | 5.37486i | 1.16843 | + | 0.210819i | ||||
\(651\) | −25.4618 | + | 25.4618i | −0.997926 | + | 0.997926i | ||||
\(652\) | 11.1428 | − | 4.81631i | 0.436385 | − | 0.188621i | ||||
\(653\) | −8.83272 | + | 32.9642i | −0.345651 | + | 1.28999i | 0.546198 | + | 0.837656i | \(0.316074\pi\) |
−0.891850 | + | 0.452332i | \(0.850592\pi\) | |||||||
\(654\) | 23.7946 | − | 16.1634i | 0.930442 | − | 0.632040i | ||||
\(655\) | 0.489816 | 0.0191387 | ||||||||
\(656\) | −0.390709 | + | 0.415357i | −0.0152546 | + | 0.0162170i | ||||
\(657\) | 15.2477 | − | 26.4098i | 0.594870 | − | 1.03035i | ||||
\(658\) | −34.1519 | − | 16.5186i | −1.33138 | − | 0.643962i | ||||
\(659\) | −19.8239 | + | 5.31180i | −0.772230 | + | 0.206918i | −0.623356 | − | 0.781938i | \(-0.714231\pi\) |
−0.148874 | + | 0.988856i | \(0.547565\pi\) | |||||||
\(660\) | −23.5960 | − | 54.5905i | −0.918472 | − | 2.12493i | ||||
\(661\) | −5.23300 | − | 1.40218i | −0.203540 | − | 0.0545384i | 0.155609 | − | 0.987819i | \(-0.450266\pi\) |
−0.359148 | + | 0.933280i | \(0.616933\pi\) | |||||||
\(662\) | −3.78457 | − | 10.8752i | −0.147092 | − | 0.422678i | ||||
\(663\) | 20.8416 | − | 12.3180i | 0.809419 | − | 0.478391i | ||||
\(664\) | −1.11770 | − | 0.710308i | −0.0433750 | − | 0.0275653i | ||||
\(665\) | −71.8013 | + | 41.4545i | −2.78434 | + | 1.60754i | ||||
\(666\) | 11.4783 | + | 9.91206i | 0.444776 | + | 0.384085i | ||||
\(667\) | −2.07047 | − | 7.72708i | −0.0801687 | − | 0.299194i | ||||
\(668\) | −10.0180 | + | 7.93329i | −0.387609 | + | 0.306948i | ||||
\(669\) | −32.3313 | + | 8.66316i | −1.25000 | + | 0.334937i | ||||
\(670\) | 6.35372 | + | 9.35348i | 0.245466 | + | 0.361356i | ||||
\(671\) | −9.31670 | −0.359667 | ||||||||
\(672\) | −20.2971 | + | 45.4584i | −0.782977 | + | 1.75360i | ||||
\(673\) | −20.3005 | − | 35.1615i | −0.782527 | − | 1.35538i | −0.930465 | − | 0.366380i | \(-0.880597\pi\) |
0.147938 | − | 0.988997i | \(-0.452736\pi\) | |||||||
\(674\) | −16.8402 | + | 1.23308i | −0.648662 | + | 0.0474966i | ||||
\(675\) | 1.95190 | + | 1.95190i | 0.0751286 | + | 0.0751286i | ||||
\(676\) | −24.3605 | − | 9.08651i | −0.936943 | − | 0.349481i | ||||
\(677\) | −0.547336 | + | 0.547336i | −0.0210358 | + | 0.0210358i | −0.717546 | − | 0.696511i | \(-0.754735\pi\) |
0.696511 | + | 0.717546i | \(0.254735\pi\) | |||||||
\(678\) | 24.2837 | + | 20.9701i | 0.932610 | + | 0.805352i | ||||
\(679\) | −36.0712 | + | 20.8257i | −1.38428 | + | 0.799217i | ||||
\(680\) | −12.0601 | − | 23.1047i | −0.462485 | − | 0.886023i | ||||
\(681\) | 29.2517i | 1.12093i | ||||||||
\(682\) | 21.2075 | + | 4.05021i | 0.812079 | + | 0.155091i | ||||
\(683\) | −3.52328 | − | 13.1491i | −0.134815 | − | 0.503135i | −0.999999 | − | 0.00168044i | \(-0.999465\pi\) |
0.865184 | − | 0.501455i | \(-0.167202\pi\) | |||||||
\(684\) | 38.2821 | + | 4.44583i | 1.46375 | + | 0.169990i | ||||
\(685\) | −23.9052 | + | 6.40538i | −0.913371 | + | 0.244737i | ||||
\(686\) | −0.249891 | − | 3.41276i | −0.00954088 | − | 0.130300i | ||||
\(687\) | −12.8135 | − | 22.1936i | −0.488864 | − | 0.846737i | ||||
\(688\) | 6.28008 | + | 10.1479i | 0.239426 | + | 0.386885i | ||||
\(689\) | 16.4133 | + | 27.7706i | 0.625296 | + | 1.05798i | ||||
\(690\) | −66.8365 | − | 32.3275i | −2.54442 | − | 1.23069i | ||||
\(691\) | 6.56734 | − | 24.5096i | 0.249833 | − | 0.932391i | −0.721059 | − | 0.692874i | \(-0.756344\pi\) |
0.970892 | − | 0.239517i | \(-0.0769891\pi\) | |||||||
\(692\) | −4.45286 | + | 1.92469i | −0.169272 | + | 0.0731656i | ||||
\(693\) | 9.90025 | + | 36.9482i | 0.376079 | + | 1.40355i | ||||
\(694\) | 5.79498 | + | 16.6523i | 0.219975 | + | 0.632112i | ||||
\(695\) | −44.0419 | − | 25.4276i | −1.67061 | − | 0.964524i | ||||
\(696\) | 7.89650 | + | 2.48012i | 0.299316 | + | 0.0940089i | ||||
\(697\) | 0.397225i | 0.0150460i | ||||||||
\(698\) | 7.28598 | − | 38.1505i | 0.275778 | − | 1.44402i | ||||
\(699\) | 19.7751 | + | 5.29873i | 0.747964 | + | 0.200416i | ||||
\(700\) | −15.9792 | + | 40.3090i | −0.603957 | + | 1.52354i | ||||
\(701\) | −17.3322 | − | 17.3322i | −0.654629 | − | 0.654629i | 0.299475 | − | 0.954104i | \(-0.403189\pi\) |
−0.954104 | + | 0.299475i | \(0.903189\pi\) | |||||||
\(702\) | −1.35221 | − | 1.94759i | −0.0510359 | − | 0.0735071i | ||||
\(703\) | −26.2257 | −0.989121 | ||||||||
\(704\) | 29.3856 | − | 5.24877i | 1.10751 | − | 0.197820i | ||||
\(705\) | 29.2683 | + | 50.6942i | 1.10231 | + | 1.90925i | ||||
\(706\) | 27.6927 | + | 40.7671i | 1.04223 | + | 1.53429i | ||||
\(707\) | 5.98272 | + | 5.98272i | 0.225003 | + | 0.225003i | ||||
\(708\) | 7.14038 | − | 1.05131i | 0.268352 | − | 0.0395106i | ||||
\(709\) | −2.81472 | − | 10.5047i | −0.105709 | − | 0.394511i | 0.892716 | − | 0.450620i | \(-0.148797\pi\) |
−0.998425 | + | 0.0561091i | \(0.982131\pi\) | |||||||
\(710\) | 40.2843 | − | 14.0189i | 1.51184 | − | 0.526120i | ||||
\(711\) | −26.2172 | − | 15.1365i | −0.983223 | − | 0.567664i | ||||
\(712\) | 16.2472 | − | 14.9211i | 0.608891 | − | 0.559190i | ||||
\(713\) | 23.3427 | − | 13.4769i | 0.874191 | − | 0.504714i | ||||
\(714\) | 11.3978 | + | 32.7525i | 0.426553 | + | 1.22573i | ||||
\(715\) | 11.9529 | + | 42.8556i | 0.447013 | + | 1.60271i | ||||
\(716\) | −4.39765 | + | 37.8673i | −0.164348 | + | 1.41517i | ||||
\(717\) | −2.19124 | + | 8.17780i | −0.0818332 | + | 0.305406i | ||||
\(718\) | 0.427371 | + | 5.83661i | 0.0159493 | + | 0.217820i | ||||
\(719\) | −8.88267 | + | 15.3852i | −0.331268 | + | 0.573772i | −0.982761 | − | 0.184882i | \(-0.940810\pi\) |
0.651493 | + | 0.758655i | \(0.274143\pi\) | |||||||
\(720\) | 31.5747 | − | 19.5402i | 1.17672 | − | 0.728219i | ||||
\(721\) | −15.8596 | + | 27.4696i | −0.590642 | + | 1.02302i | ||||
\(722\) | −32.9018 | + | 22.3499i | −1.22448 | + | 0.831776i | ||||
\(723\) | −8.75416 | − | 8.75416i | −0.325571 | − | 0.325571i | ||||
\(724\) | −21.3488 | + | 28.7208i | −0.793422 | + | 1.06740i | ||||
\(725\) | 6.96329 | + | 1.86581i | 0.258610 | + | 0.0692944i | ||||
\(726\) | 6.51034 | − | 7.53907i | 0.241621 | − | 0.279801i | ||||
\(727\) | 5.81246i | 0.215572i | 0.994174 | + | 0.107786i | \(0.0343762\pi\) | ||||
−0.994174 | + | 0.107786i | \(0.965624\pi\) | |||||||
\(728\) | 19.6546 | − | 31.6353i | 0.728446 | − | 1.17248i | ||||
\(729\) | 23.4222i | 0.867490i | ||||||||
\(730\) | 38.4551 | + | 33.2078i | 1.42329 | + | 1.22907i | ||||
\(731\) | 8.02983 | + | 2.15159i | 0.296994 | + | 0.0795793i | ||||
\(732\) | −1.75290 | − | 11.9055i | −0.0647890 | − | 0.440040i | ||||
\(733\) | 10.6617 | + | 10.6617i | 0.393797 | + | 0.393797i | 0.876038 | − | 0.482241i | \(-0.160177\pi\) |
−0.482241 | + | 0.876038i | \(0.660177\pi\) | |||||||
\(734\) | −14.7672 | − | 21.7392i | −0.545068 | − | 0.802409i | ||||
\(735\) | 25.2523 | − | 43.7383i | 0.931446 | − | 1.61331i | ||||
\(736\) | 23.4825 | − | 28.9358i | 0.865577 | − | 1.06659i | ||||
\(737\) | −4.51070 | + | 7.81275i | −0.166154 | + | 0.287787i | ||||
\(738\) | −0.564419 | + | 0.0413282i | −0.0207765 | + | 0.00152131i | ||||
\(739\) | 1.81200 | − | 6.76247i | 0.0666554 | − | 0.248761i | −0.924556 | − | 0.381045i | \(-0.875564\pi\) |
0.991212 | + | 0.132284i | \(0.0422309\pi\) | |||||||
\(740\) | −19.8090 | + | 15.6867i | −0.728192 | + | 0.576656i | ||||
\(741\) | −57.7673 | − | 14.8489i | −2.12213 | − | 0.545490i | ||||
\(742\) | −43.6415 | + | 15.1872i | −1.60213 | + | 0.557540i | ||||
\(743\) | 26.4580 | − | 15.2755i | 0.970649 | − | 0.560404i | 0.0712146 | − | 0.997461i | \(-0.477312\pi\) |
0.899434 | + | 0.437057i | \(0.143979\pi\) | |||||||
\(744\) | −1.18552 | + | 27.8625i | −0.0434631 | + | 1.02149i | ||||
\(745\) | 9.56166 | + | 5.52043i | 0.350312 | + | 0.202253i | ||||
\(746\) | −7.50697 | − | 21.5718i | −0.274850 | − | 0.789800i | ||||
\(747\) | −0.340164 | − | 1.26951i | −0.0124459 | − | 0.0464489i | ||||
\(748\) | 12.4048 | − | 16.6883i | 0.453565 | − | 0.610186i | ||||
\(749\) | 29.2855 | + | 29.2855i | 1.07007 | + | 1.07007i | ||||
\(750\) | 8.73062 | − | 5.93062i | 0.318797 | − | 0.216556i | ||||
\(751\) | 14.1774 | + | 24.5560i | 0.517341 | + | 0.896061i | 0.999797 | + | 0.0201407i | \(0.00641142\pi\) |
−0.482456 | + | 0.875920i | \(0.660255\pi\) | |||||||
\(752\) | −28.1345 | + | 8.46831i | −1.02596 | + | 0.308807i | ||||
\(753\) | 22.6063 | 0.823820 | ||||||||
\(754\) | −5.60137 | − | 2.63912i | −0.203990 | − | 0.0961112i | ||||
\(755\) | 48.8402 | + | 48.8402i | 1.77748 | + | 1.77748i | ||||
\(756\) | 3.11756 | − | 1.34752i | 0.113385 | − | 0.0490089i | ||||
\(757\) | −12.6239 | − | 3.38255i | −0.458822 | − | 0.122941i | 0.0220023 | − | 0.999758i | \(-0.492996\pi\) |
−0.480824 | + | 0.876817i | \(0.659663\pi\) | |||||||
\(758\) | 33.3345 | + | 6.36622i | 1.21076 | + | 0.231232i | ||||
\(759\) | − | 59.2342i | − | 2.15007i | ||||||
\(760\) | −19.2407 | + | 61.2606i | −0.697933 | + | 2.22216i | ||||
\(761\) | −23.2880 | − | 13.4453i | −0.844189 | − | 0.487393i | 0.0144972 | − | 0.999895i | \(-0.495385\pi\) |
−0.858686 | + | 0.512502i | \(0.828719\pi\) | |||||||
\(762\) | 15.1597 | − | 5.27555i | 0.549177 | − | 0.191113i | ||||
\(763\) | −7.97826 | − | 29.7753i | −0.288832 | − | 1.07794i | ||||
\(764\) | −9.30093 | + | 23.4624i | −0.336496 | + | 0.848840i | ||||
\(765\) | 6.69456 | − | 24.9844i | 0.242042 | − | 0.903314i | ||||
\(766\) | −3.30023 | + | 6.82317i | −0.119242 | + | 0.246531i | ||||
\(767\) | −5.39908 | + | 0.0550655i | −0.194950 | + | 0.00198830i | ||||
\(768\) | 12.2360 | + | 36.5634i | 0.441529 | + | 1.31937i | ||||
\(769\) | 0.556208 | + | 0.963381i | 0.0200574 | + | 0.0347404i | 0.875880 | − | 0.482529i | \(-0.160282\pi\) |
−0.855822 | + | 0.517270i | \(0.826948\pi\) | |||||||
\(770\) | −63.5615 | + | 4.65413i | −2.29060 | + | 0.167723i | ||||
\(771\) | 11.7355 | − | 3.14453i | 0.422645 | − | 0.113247i | ||||
\(772\) | 4.63329 | + | 5.85085i | 0.166756 | + | 0.210577i | ||||
\(773\) | −11.3874 | − | 42.4985i | −0.409578 | − | 1.52857i | −0.795453 | − | 0.606015i | \(-0.792767\pi\) |
0.385875 | − | 0.922551i | \(-0.373900\pi\) | |||||||
\(774\) | −2.22176 | + | 11.6335i | −0.0798594 | + | 0.418156i | ||||
\(775\) | 24.2896i | 0.872507i | ||||||||
\(776\) | −9.66603 | + | 30.7758i | −0.346990 | + | 1.10479i | ||||
\(777\) | 29.1169 | − | 16.8107i | 1.04456 | − | 0.603079i | ||||
\(778\) | −14.4220 | + | 16.7009i | −0.517053 | + | 0.598755i | ||||
\(779\) | 0.692007 | − | 0.692007i | 0.0247937 | − | 0.0247937i | ||||
\(780\) | −52.5149 | + | 23.3373i | −1.88034 | + | 0.835610i | ||||
\(781\) | 24.0633 | + | 24.0633i | 0.861051 | + | 0.861051i | ||||
\(782\) | −1.89569 | − | 25.8894i | −0.0677897 | − | 0.925804i | ||||
\(783\) | −0.282328 | − | 0.489006i | −0.0100896 | − | 0.0174757i | ||||
\(784\) | 18.4645 | + | 17.3688i | 0.659447 | + | 0.620314i | ||||
\(785\) | −39.6598 | −1.41552 | ||||||||
\(786\) | −0.417538 | + | 0.283630i | −0.0148931 | + | 0.0101167i | ||||
\(787\) | −11.2513 | + | 3.01478i | −0.401067 | + | 0.107465i | −0.453713 | − | 0.891148i | \(-0.649901\pi\) |
0.0526467 | + | 0.998613i | \(0.483234\pi\) | |||||||
\(788\) | 53.3506 | + | 6.19577i | 1.90053 | + | 0.220715i | ||||
\(789\) | 11.0190 | + | 41.1233i | 0.392285 | + | 1.46403i | ||||
\(790\) | 32.9656 | − | 38.1747i | 1.17286 | − | 1.35819i | ||||
\(791\) | 29.7767 | − | 17.1916i | 1.05874 | − | 0.611261i | ||||
\(792\) | 25.0031 | + | 15.8898i | 0.888447 | + | 0.564618i | ||||
\(793\) | 0.0918133 | + | 9.00216i | 0.00326039 | + | 0.319676i | ||||
\(794\) | 5.85523 | − | 2.03762i | 0.207794 | − | 0.0723124i | ||||
\(795\) | 68.8702 | + | 18.4537i | 2.44257 | + | 0.654486i | ||||
\(796\) | 1.56639 | + | 0.620947i | 0.0555194 | + | 0.0220089i | ||||
\(797\) | 9.96647 | − | 2.67051i | 0.353030 | − | 0.0945942i | −0.0779455 | − | 0.996958i | \(-0.524836\pi\) |
0.430976 | + | 0.902363i | \(0.358169\pi\) | |||||||
\(798\) | 37.2019 | − | 76.9143i | 1.31693 | − | 2.72274i | ||||
\(799\) | −10.2334 | + | 17.7247i | −0.362031 | + | 0.627056i | ||||
\(800\) | 12.0015 | + | 31.3641i | 0.424316 | + | 1.10889i | ||||
\(801\) | 21.8925 | 0.773532 | ||||||||
\(802\) | −14.4892 | − | 21.3299i | −0.511631 | − | 0.753185i | ||||
\(803\) | −10.4917 | + | 39.1557i | −0.370245 | + | 1.38177i | ||||
\(804\) | −10.8323 | − | 4.29413i | −0.382027 | − | 0.151442i | ||||
\(805\) | −56.2589 | + | 56.2589i | −1.98287 | + | 1.98287i | ||||
\(806\) | 3.70448 | − | 20.5315i | 0.130485 | − | 0.723190i | ||||
\(807\) | − | 54.0166i | − | 1.90148i | ||||||
\(808\) | 6.54680 | + | 0.278559i | 0.230316 | + | 0.00979968i | ||||
\(809\) | 26.6642 | − | 15.3946i | 0.937463 | − | 0.541245i | 0.0482991 | − | 0.998833i | \(-0.484620\pi\) |
0.889164 | + | 0.457588i | \(0.151287\pi\) | |||||||
\(810\) | −43.8327 | − | 8.37115i | −1.54012 | − | 0.294132i | ||||
\(811\) | 34.8062 | − | 34.8062i | 1.22221 | − | 1.22221i | 0.255369 | − | 0.966844i | \(-0.417803\pi\) |
0.966844 | − | 0.255369i | \(-0.0821970\pi\) | |||||||
\(812\) | 5.29133 | − | 7.11849i | 0.185689 | − | 0.249810i | ||||
\(813\) | 15.0326 | − | 4.02798i | 0.527217 | − | 0.141267i | ||||
\(814\) | −18.1481 | − | 8.77790i | −0.636092 | − | 0.307665i | ||||
\(815\) | −10.0361 | + | 17.3831i | −0.351550 | + | 0.608903i | ||||
\(816\) | 23.6594 | + | 12.7119i | 0.828244 | + | 0.445004i | ||||
\(817\) | −10.2405 | − | 17.7371i | −0.358270 | − | 0.620541i | ||||
\(818\) | −27.3903 | − | 13.2482i | −0.957681 | − | 0.463211i | ||||
\(819\) | 35.6032 | − | 9.93012i | 1.24408 | − | 0.346986i | ||||
\(820\) | 0.108772 | − | 0.936610i | 0.00379847 | − | 0.0327078i | ||||
\(821\) | −13.2634 | − | 3.55391i | −0.462894 | − | 0.124032i | 0.0198321 | − | 0.999803i | \(-0.493687\pi\) |
−0.482727 | + | 0.875771i | \(0.660354\pi\) | |||||||
\(822\) | 16.6687 | − | 19.3026i | 0.581387 | − | 0.673255i | ||||
\(823\) | −24.3305 | − | 14.0472i | −0.848107 | − | 0.489655i | 0.0119046 | − | 0.999929i | \(-0.496211\pi\) |
−0.860012 | + | 0.510274i | \(0.829544\pi\) | |||||||
\(824\) | 5.34362 | + | 23.9775i | 0.186154 | + | 0.835297i | ||||
\(825\) | 46.2277 | + | 26.6896i | 1.60944 | + | 0.929212i | ||||
\(826\) | 1.45088 | − | 7.59702i | 0.0504825 | − | 0.264334i | ||||
\(827\) | −8.95549 | + | 8.95549i | −0.311413 | + | 0.311413i | −0.845457 | − | 0.534044i | \(-0.820672\pi\) |
0.534044 | + | 0.845457i | \(0.320672\pi\) | |||||||
\(828\) | 36.5892 | − | 5.38718i | 1.27156 | − | 0.187218i | ||||
\(829\) | 4.06744 | − | 15.1799i | 0.141268 | − | 0.527220i | −0.858625 | − | 0.512604i | \(-0.828681\pi\) |
0.999893 | − | 0.0146157i | \(-0.00465249\pi\) | |||||||
\(830\) | 2.18392 | − | 0.159912i | 0.0758048 | − | 0.00555062i | ||||
\(831\) | 74.6985 | 2.59126 | ||||||||
\(832\) | −5.36115 | − | 28.3418i | −0.185864 | − | 0.982575i | ||||
\(833\) | 17.6585 | 0.611829 | ||||||||
\(834\) | 52.2670 | − | 3.82712i | 1.80986 | − | 0.132522i | ||||
\(835\) | 5.46885 | − | 20.4100i | 0.189257 | − | 0.706318i | ||||
\(836\) | −50.6832 | + | 7.46231i | −1.75291 | + | 0.258089i | ||||
\(837\) | 1.34529 | − | 1.34529i | 0.0465002 | − | 0.0465002i | ||||
\(838\) | −3.31224 | + | 17.3434i | −0.114420 | + | 0.599119i | ||||
\(839\) | 39.9019 | + | 23.0374i | 1.37757 | + | 0.795338i | 0.991866 | − | 0.127286i | \(-0.0406265\pi\) |
0.385700 | + | 0.922624i | \(0.373960\pi\) | |||||||
\(840\) | −17.9062 | − | 80.3475i | −0.617823 | − | 2.77225i | ||||
\(841\) | 23.8377 | + | 13.7627i | 0.821989 | + | 0.474575i | ||||
\(842\) | 34.0566 | − | 39.4381i | 1.17367 | − | 1.35913i | ||||
\(843\) | 74.8164 | + | 20.0470i | 2.57681 | + | 0.690455i | ||||
\(844\) | 0.255886 | − | 2.20339i | 0.00880797 | − | 0.0758437i | ||||
\(845\) | 41.2910 | − | 11.9717i | 1.42045 | − | 0.411838i | ||||
\(846\) | −26.2499 | − | 12.6965i | −0.902489 | − | 0.436516i | ||||
\(847\) | −5.33726 | − | 9.24440i | −0.183390 | − | 0.317641i | ||||
\(848\) | −16.9381 | + | 31.5253i | −0.581657 | + | 1.08258i | ||||
\(849\) | 7.78338 | − | 13.4812i | 0.267125 | − | 0.462674i | ||||
\(850\) | 21.0588 | + | 10.1857i | 0.722313 | + | 0.349368i | ||||
\(851\) | −24.3095 | + | 6.51370i | −0.833318 | + | 0.223287i | ||||
\(852\) | −26.2222 | + | 35.2771i | −0.898359 | + | 1.20857i | ||||
\(853\) | −37.7165 | + | 37.7165i | −1.29139 | + | 1.29139i | −0.357458 | + | 0.933929i | \(0.616356\pi\) |
−0.933929 | + | 0.357458i | \(0.883644\pi\) | |||||||
\(854\) | −12.6669 | − | 2.41912i | −0.433452 | − | 0.0827805i | ||||
\(855\) | −55.1880 | + | 31.8628i | −1.88739 | + | 1.08969i | ||||
\(856\) | 32.0467 | + | 1.36355i | 1.09533 | + | 0.0466052i | ||||
\(857\) | 9.46712i | 0.323391i | 0.986841 | + | 0.161695i | \(0.0516962\pi\) | ||||
−0.986841 | + | 0.161695i | \(0.948304\pi\) | |||||||
\(858\) | −35.0048 | − | 29.6105i | −1.19505 | − | 1.01089i | ||||
\(859\) | −8.81388 | + | 8.81388i | −0.300726 | + | 0.300726i | −0.841298 | − | 0.540572i | \(-0.818208\pi\) |
0.540572 | + | 0.841298i | \(0.318208\pi\) | |||||||
\(860\) | −18.3442 | − | 7.27198i | −0.625533 | − | 0.247972i | ||||
\(861\) | −0.324720 | + | 1.21187i | −0.0110664 | + | 0.0413005i | ||||
\(862\) | −5.51603 | − | 8.12029i | −0.187877 | − | 0.276578i | ||||
\(863\) | −36.6455 | −1.24743 | −0.623714 | − | 0.781653i | \(-0.714377\pi\) | ||||
−0.623714 | + | 0.781653i | \(0.714377\pi\) | |||||||
\(864\) | 1.07241 | − | 2.40183i | 0.0364843 | − | 0.0817120i | ||||
\(865\) | 4.01062 | − | 6.94661i | 0.136365 | − | 0.236192i | ||||
\(866\) | 7.78102 | − | 16.0871i | 0.264410 | − | 0.546663i | ||||
\(867\) | −21.4987 | + | 5.76057i | −0.730136 | + | 0.195639i | ||||
\(868\) | 27.7819 | + | 11.0132i | 0.942979 | + | 0.373814i | ||||
\(869\) | 38.8701 | + | 10.4152i | 1.31858 | + | 0.353312i | ||||
\(870\) | −12.9256 | + | 4.49809i | −0.438218 | + | 0.152500i | ||||
\(871\) | 7.59344 | + | 4.28142i | 0.257294 | + | 0.145070i | ||||
\(872\) | −20.1491 | − | 12.8050i | −0.682336 | − | 0.433632i | ||||
\(873\) | −27.7251 | + | 16.0071i | −0.938351 | + | 0.541757i | ||||
\(874\) | −41.7995 | + | 48.4045i | −1.41389 | + | 1.63731i | ||||
\(875\) | −2.92735 | − | 10.9250i | −0.0989626 | − | 0.369333i | ||||
\(876\) | −52.0097 | − | 6.04005i | −1.75725 | − | 0.204075i | ||||
\(877\) | 40.6721 | − | 10.8981i | 1.37340 | − | 0.368001i | 0.504681 | − | 0.863306i | \(-0.331610\pi\) |
0.868719 | + | 0.495305i | \(0.164944\pi\) | |||||||
\(878\) | 0.173674 | − | 0.117975i | 0.00586121 | − | 0.00398146i | ||||
\(879\) | −66.2390 | −2.23419 | ||||||||
\(880\) | −33.8188 | + | 35.9523i | −1.14003 | + | 1.21195i | ||||
\(881\) | 2.72997 | + | 4.72845i | 0.0919750 | + | 0.159305i | 0.908342 | − | 0.418228i | \(-0.137349\pi\) |
−0.816367 | + | 0.577533i | \(0.804015\pi\) | |||||||
\(882\) | 1.83722 | + | 25.0910i | 0.0618625 | + | 0.844857i | ||||
\(883\) | −17.0761 | − | 17.0761i | −0.574657 | − | 0.574657i | 0.358769 | − | 0.933426i | \(-0.383197\pi\) |
−0.933426 | + | 0.358769i | \(0.883197\pi\) | |||||||
\(884\) | −16.2472 | − | 11.8216i | −0.546451 | − | 0.397602i | ||||
\(885\) | −8.43864 | + | 8.43864i | −0.283662 | + | 0.283662i | ||||
\(886\) | −35.8448 | + | 41.5089i | −1.20423 | + | 1.39452i | ||||
\(887\) | −5.61724 | + | 3.24312i | −0.188609 | + | 0.108893i | −0.591331 | − | 0.806429i | \(-0.701397\pi\) |
0.402722 | + | 0.915322i | \(0.368064\pi\) | |||||||
\(888\) | 7.80249 | − | 24.8425i | 0.261834 | − | 0.833658i | ||||
\(889\) | − | 17.2011i | − | 0.576907i | ||||||
\(890\) | −6.84239 | + | 35.8278i | −0.229357 | + | 1.20095i | ||||
\(891\) | −9.21476 | − | 34.3900i | −0.308706 | − | 1.15211i | ||||
\(892\) | 17.2463 | + | 21.7783i | 0.577448 | + | 0.729192i | ||||
\(893\) | 48.7059 | − | 13.0507i | 1.62988 | − | 0.436725i | ||||
\(894\) | −11.3474 | + | 0.830883i | −0.379513 | + | 0.0277889i | ||||
\(895\) | −31.5176 | − | 54.5900i | −1.05352 | − | 1.82474i | ||||
\(896\) | 41.3153 | + | 0.493923i | 1.38025 | + | 0.0165008i | ||||
\(897\) | −57.2344 | + | 0.583736i | −1.91100 | + | 0.0194904i | ||||
\(898\) | 6.09757 | − | 12.6066i | 0.203479 | − | 0.420688i | ||||
\(899\) | 1.28596 | − | 4.79926i | 0.0428891 | − | 0.160064i | ||||
\(900\) | −12.2820 | + | 30.9823i | −0.409399 | + | 1.03274i | ||||
\(901\) | 6.45216 | + | 24.0798i | 0.214953 | + | 0.802214i | ||||
\(902\) | 0.710486 | − | 0.247249i | 0.0236566 | − | 0.00823248i | ||||
\(903\) | 22.7389 | + | 13.1283i | 0.756703 | + | 0.436883i | ||||
\(904\) | 7.97928 | − | 25.4053i | 0.265387 | − | 0.844969i | ||||
\(905\) | − | 59.1732i | − | 1.96698i | ||||||
\(906\) | −69.9145 | − | 13.3522i | −2.32275 | − | 0.443598i | ||||
\(907\) | 40.4610 | + | 10.8415i | 1.34349 | + | 0.359986i | 0.857727 | − | 0.514106i | \(-0.171876\pi\) |
0.485760 | + | 0.874092i | \(0.338543\pi\) | |||||||
\(908\) | 22.2849 | − | 9.63231i | 0.739549 | − | 0.319660i | ||||
\(909\) | 4.59844 | + | 4.59844i | 0.152521 | + | 0.152521i | ||||
\(910\) | 5.12338 | + | 61.3697i | 0.169838 | + | 2.03439i | ||||
\(911\) | −27.7840 | −0.920525 | −0.460263 | − | 0.887783i | \(-0.652245\pi\) | ||||
−0.460263 | + | 0.887783i | \(0.652245\pi\) | |||||||
\(912\) | −19.0717 | − | 63.3624i | −0.631527 | − | 2.09814i | ||||
\(913\) | 0.873529 | + | 1.51300i | 0.0289096 | + | 0.0500729i | ||||
\(914\) | 46.8240 | − | 31.8070i | 1.54880 | − | 1.05208i | ||||
\(915\) | 14.0702 | + | 14.0702i | 0.465145 | + | 0.465145i | ||||
\(916\) | −12.6884 | + | 17.0698i | −0.419236 | + | 0.564003i | ||||
\(917\) | 0.139999 | + | 0.522485i | 0.00462319 | + | 0.0172540i | ||||
\(918\) | −0.602215 | − | 1.73050i | −0.0198760 | − | 0.0571152i | ||||
\(919\) | 32.2776 | + | 18.6355i | 1.06474 | + | 0.614729i | 0.926740 | − | 0.375703i | \(-0.122599\pi\) |
0.138001 | + | 0.990432i | \(0.455932\pi\) | |||||||
\(920\) | −2.61945 | + | 61.5633i | −0.0863607 | + | 2.02968i | ||||
\(921\) | −57.1065 | + | 32.9705i | −1.88172 | + | 1.08641i | ||||
\(922\) | −11.2700 | + | 3.92196i | −0.371159 | + | 0.129163i | ||||
\(923\) | 23.0137 | − | 23.4880i | 0.757506 | − | 0.773116i | ||||
\(924\) | 51.4873 | − | 40.7729i | 1.69381 | − | 1.34133i | ||||
\(925\) | 5.86985 | − | 21.9066i | 0.192999 | − | 0.720284i | ||||
\(926\) | −29.7593 | + | 2.17905i | −0.977952 | + | 0.0716081i | ||||
\(927\) | −12.1900 | + | 21.1137i | −0.400373 | + | 0.693466i | ||||
\(928\) | −0.710809 | − | 6.83248i | −0.0233334 | − | 0.224287i | ||||
\(929\) | −2.54306 | + | 4.40470i | −0.0834350 | + | 0.144514i | −0.904723 | − | 0.426000i | \(-0.859922\pi\) |
0.821288 | + | 0.570513i | \(0.193256\pi\) | |||||||
\(930\) | −25.9111 | − | 38.1445i | −0.849660 | − | 1.25081i | ||||
\(931\) | −30.7628 | − | 30.7628i | −1.00821 | − | 1.00821i | ||||
\(932\) | −2.47503 | − | 16.8101i | −0.0810723 | − | 0.550634i | ||||
\(933\) | 15.9052 | + | 4.26178i | 0.520712 | + | 0.139524i | ||||
\(934\) | 21.1778 | + | 18.2880i | 0.692957 | + | 0.598401i | ||||
\(935\) | 34.3828i | 1.12444i | ||||||||
\(936\) | 15.1069 | − | 24.3156i | 0.493785 | − | 0.794780i | ||||
\(937\) | 8.61858i | 0.281557i | 0.990041 | + | 0.140778i | \(0.0449605\pi\) | ||||
−0.990041 | + | 0.140778i | \(0.955040\pi\) | |||||||
\(938\) | −8.16131 | + | 9.45092i | −0.266476 | + | 0.308583i | ||||
\(939\) | 33.6808 | + | 9.02474i | 1.09913 | + | 0.294511i | ||||
\(940\) | 28.9826 | − | 38.9906i | 0.945310 | − | 1.27173i | ||||
\(941\) | 26.1193 | + | 26.1193i | 0.851464 | + | 0.851464i | 0.990313 | − | 0.138850i | \(-0.0443405\pi\) |
−0.138850 | + | 0.990313i | \(0.544340\pi\) | |||||||
\(942\) | 33.8076 | − | 22.9651i | 1.10151 | − | 0.748245i | ||||
\(943\) | 0.469569 | − | 0.813318i | 0.0152913 | − | 0.0264853i | ||||
\(944\) | −3.15218 | − | 5.09358i | −0.102595 | − | 0.165782i | ||||
\(945\) | −2.80794 | + | 4.86350i | −0.0913424 | + | 0.158210i | ||||
\(946\) | −1.14971 | − | 15.7016i | −0.0373802 | − | 0.510502i | ||||
\(947\) | −0.844658 | + | 3.15231i | −0.0274477 | + | 0.102436i | −0.978291 | − | 0.207237i | \(-0.933553\pi\) |
0.950843 | + | 0.309673i | \(0.100220\pi\) | |||||||
\(948\) | −5.99601 | + | 51.6305i | −0.194741 | + | 1.67688i | ||||
\(949\) | 37.9371 | + | 9.75165i | 1.23149 | + | 0.316552i | ||||
\(950\) | −18.9420 | − | 54.4312i | −0.614561 | − | 1.76598i | ||||
\(951\) | −29.0206 | + | 16.7550i | −0.941056 | + | 0.543319i | ||||
\(952\) | 21.1986 | − | 19.4683i | 0.687052 | − | 0.630972i | ||||
\(953\) | −26.3291 | − | 15.2011i | −0.852883 | − | 0.492412i | 0.00873957 | − | 0.999962i | \(-0.497218\pi\) |
−0.861623 | + | 0.507550i | \(0.830551\pi\) | |||||||
\(954\) | −33.5438 | + | 11.6732i | −1.08602 | + | 0.377934i | ||||
\(955\) | −10.8012 | − | 40.3107i | −0.349519 | − | 1.30442i | ||||
\(956\) | 6.95166 | − | 1.02352i | 0.224833 | − | 0.0331031i | ||||
\(957\) | −7.72090 | − | 7.72090i | −0.249581 | − | 0.249581i | ||||
\(958\) | 25.8244 | + | 38.0167i | 0.834347 | + | 1.22826i | ||||
\(959\) | −13.6652 | − | 23.6688i | −0.441272 | − | 0.764306i | ||||
\(960\) | −52.3051 | − | 36.4517i | −1.68814 | − | 1.17647i | ||||
\(961\) | −14.2591 | −0.459970 | ||||||||
\(962\) | −8.30270 | + | 17.6219i | −0.267690 | + | 0.568154i | ||||
\(963\) | 22.5094 | + | 22.5094i | 0.725356 | + | 0.725356i | ||||
\(964\) | −3.78653 | + | 9.55186i | −0.121956 | + | 0.307645i | ||||
\(965\) | −11.9201 | − | 3.19398i | −0.383722 | − | 0.102818i | ||||
\(966\) | 15.3804 | − | 80.5342i | 0.494856 | − | 2.59115i | ||||
\(967\) | 15.2093i | 0.489098i | 0.969637 | + | 0.244549i | \(0.0786399\pi\) | ||||
−0.969637 | + | 0.244549i | \(0.921360\pi\) | |||||||
\(968\) | −7.88729 | − | 2.47723i | −0.253507 | − | 0.0796212i | ||||
\(969\) | −39.9183 | − | 23.0469i | −1.28236 | − | 0.740372i | ||||
\(970\) | −17.5308 | − | 50.3761i | −0.562881 | − | 1.61748i | ||||
\(971\) | 11.3040 | + | 42.1871i | 0.362763 | + | 1.35385i | 0.870428 | + | 0.492295i | \(0.163842\pi\) |
−0.507666 | + | 0.861554i | \(0.669492\pi\) | |||||||
\(972\) | 39.6511 | − | 17.1386i | 1.27181 | − | 0.549722i | ||||
\(973\) | 14.5355 | − | 54.2471i | 0.465986 | − | 1.73908i | ||||
\(974\) | −35.1367 | − | 16.9949i | −1.12585 | − | 0.544553i | ||||
\(975\) | 25.3330 | − | 44.9300i | 0.811304 | − | 1.43891i | ||||
\(976\) | −8.49277 | + | 5.25579i | −0.271847 | + | 0.168234i | ||||
\(977\) | 22.9985 | + | 39.8345i | 0.735786 | + | 1.27442i | 0.954377 | + | 0.298603i | \(0.0965206\pi\) |
−0.218591 | + | 0.975817i | \(0.570146\pi\) | |||||||
\(978\) | −1.51054 | − | 20.6295i | −0.0483019 | − | 0.659659i | ||||
\(979\) | −28.1096 | + | 7.53194i | −0.898386 | + | 0.240722i | ||||
\(980\) | −41.6366 | − | 4.83539i | −1.33003 | − | 0.154461i | ||||
\(981\) | −6.13226 | − | 22.8859i | −0.195788 | − | 0.730691i | ||||
\(982\) | 57.8899 | + | 11.0558i | 1.84734 | + | 0.352805i | ||||
\(983\) | 35.1499i | 1.12111i | 0.828118 | + | 0.560553i | \(0.189412\pi\) | ||||
−0.828118 | + | 0.560553i | \(0.810588\pi\) | |||||||
\(984\) | 0.449626 | + | 0.861388i | 0.0143336 | + | 0.0274601i | ||||
\(985\) | −76.9109 | + | 44.4045i | −2.45058 | + | 1.41485i | ||||
\(986\) | −3.62166 | − | 3.12747i | −0.115337 | − | 0.0995990i | ||||
\(987\) | −45.7099 | + | 45.7099i | −1.45496 | + | 1.45496i | ||||
\(988\) | 7.70984 | + | 48.8985i | 0.245283 | + | 1.55567i | ||||
\(989\) | −13.8976 | − | 13.8976i | −0.441918 | − | 0.441918i | ||||
\(990\) | −48.8547 | + | 3.57726i | −1.55270 | + | 0.113693i | ||||
\(991\) | 11.4614 | + | 19.8518i | 0.364085 | + | 0.630613i | 0.988629 | − | 0.150376i | \(-0.0480485\pi\) |
−0.624544 | + | 0.780990i | \(0.714715\pi\) | |||||||
\(992\) | 21.6169 | − | 8.27169i | 0.686336 | − | 0.262626i | ||||
\(993\) | −19.6211 | −0.622658 | ||||||||
\(994\) | 26.4680 | + | 38.9643i | 0.839515 | + | 1.23587i | ||||
\(995\) | −2.69121 | + | 0.721109i | −0.0853172 | + | 0.0228607i | ||||
\(996\) | −1.76906 | + | 1.40092i | −0.0560548 | + | 0.0443898i | ||||
\(997\) | −3.17660 | − | 11.8552i | −0.100604 | − | 0.375459i | 0.897205 | − | 0.441613i | \(-0.145594\pi\) |
−0.997809 | + | 0.0661544i | \(0.978927\pi\) | |||||||
\(998\) | 35.6020 | + | 30.7440i | 1.12696 | + | 0.973184i | ||||
\(999\) | −1.53842 | + | 0.888206i | −0.0486734 | + | 0.0281016i |
(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 | 208.2.bj.a.29.1 | ✓ | 104 | |
4.3 | odd | 2 | 832.2.br.a.81.23 | 104 | |||
13.9 | even | 3 | inner | 208.2.bj.a.61.18 | yes | 104 | |
16.5 | even | 4 | inner | 208.2.bj.a.133.18 | yes | 104 | |
16.11 | odd | 4 | 832.2.br.a.497.4 | 104 | |||
52.35 | odd | 6 | 832.2.br.a.529.4 | 104 | |||
208.139 | odd | 12 | 832.2.br.a.113.23 | 104 | |||
208.165 | even | 12 | inner | 208.2.bj.a.165.1 | yes | 104 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
208.2.bj.a.29.1 | ✓ | 104 | 1.1 | even | 1 | trivial | |
208.2.bj.a.61.18 | yes | 104 | 13.9 | even | 3 | inner | |
208.2.bj.a.133.18 | yes | 104 | 16.5 | even | 4 | inner | |
208.2.bj.a.165.1 | yes | 104 | 208.165 | even | 12 | inner | |
832.2.br.a.81.23 | 104 | 4.3 | odd | 2 | |||
832.2.br.a.113.23 | 104 | 208.139 | odd | 12 | |||
832.2.br.a.497.4 | 104 | 16.11 | odd | 4 | |||
832.2.br.a.529.4 | 104 | 52.35 | odd | 6 |