Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [429,2,Mod(7,429)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(429, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([0, 42, 55]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("429.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 429 = 3 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 429.bs (of order \(60\), degree \(16\), 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: | \(3.42558224671\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 7.13 | ||
Character | \(\chi\) | \(=\) | 429.7 |
Dual form | 429.2.bs.a.184.13 |
$q$-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 \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) | \(287\) |
\(\chi(n)\) | \(e\left(\frac{11}{12}\right)\) | \(e\left(\frac{7}{10}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.915452 | − | 2.38484i | 0.647323 | − | 1.68633i | −0.0771411 | − | 0.997020i | \(-0.524579\pi\) |
0.724464 | − | 0.689313i | \(-0.242087\pi\) | |||||||
\(3\) | −0.669131 | − | 0.743145i | −0.386323 | − | 0.429055i | ||||
\(4\) | −3.36310 | − | 3.02815i | −1.68155 | − | 1.51407i | ||||
\(5\) | 1.16930 | + | 0.185198i | 0.522925 | + | 0.0828232i | 0.412316 | − | 0.911041i | \(-0.364720\pi\) |
0.110609 | + | 0.993864i | \(0.464720\pi\) | |||||||
\(6\) | −2.38484 | + | 0.915452i | −0.973605 | + | 0.373732i | ||||
\(7\) | −4.20987 | + | 0.220630i | −1.59118 | + | 0.0833904i | −0.827223 | − | 0.561873i | \(-0.810081\pi\) |
−0.763960 | + | 0.645264i | \(0.776747\pi\) | |||||||
\(8\) | −5.74822 | + | 2.92887i | −2.03230 | + | 1.03551i | ||||
\(9\) | −0.104528 | + | 0.994522i | −0.0348428 | + | 0.331507i | ||||
\(10\) | 1.51210 | − | 2.61904i | 0.478169 | − | 0.828213i | ||||
\(11\) | −3.31659 | + | 0.0150149i | −0.999990 | + | 0.00452717i | ||||
\(12\) | 4.52549i | 1.30640i | ||||||||
\(13\) | 3.09258 | − | 1.85364i | 0.857726 | − | 0.514107i | ||||
\(14\) | −3.32777 | + | 10.2418i | −0.889385 | + | 2.73725i | ||||
\(15\) | −0.644783 | − | 0.992878i | −0.166482 | − | 0.256360i | ||||
\(16\) | 0.776552 | + | 7.38840i | 0.194138 | + | 1.84710i | ||||
\(17\) | 0.262957 | + | 0.117076i | 0.0637764 | + | 0.0283951i | 0.438377 | − | 0.898791i | \(-0.355553\pi\) |
−0.374601 | + | 0.927186i | \(0.622220\pi\) | |||||||
\(18\) | 2.27608 | + | 1.15972i | 0.536477 | + | 0.273349i | ||||
\(19\) | 1.09398 | − | 1.68457i | 0.250975 | − | 0.386468i | −0.690618 | − | 0.723219i | \(-0.742662\pi\) |
0.941594 | + | 0.336752i | \(0.109328\pi\) | |||||||
\(20\) | −3.37165 | − | 4.16364i | −0.753924 | − | 0.931018i | ||||
\(21\) | 2.98092 | + | 2.98092i | 0.650489 | + | 0.650489i | ||||
\(22\) | −3.00037 | + | 7.92327i | −0.639682 | + | 1.68925i | ||||
\(23\) | −3.91847 | − | 2.26233i | −0.817057 | − | 0.471728i | 0.0323435 | − | 0.999477i | \(-0.489703\pi\) |
−0.849401 | + | 0.527749i | \(0.823036\pi\) | |||||||
\(24\) | 6.02288 | + | 2.31197i | 1.22942 | + | 0.471928i | ||||
\(25\) | −3.42233 | − | 1.11198i | −0.684465 | − | 0.222396i | ||||
\(26\) | −1.58952 | − | 9.07220i | −0.311730 | − | 1.77921i | ||||
\(27\) | 0.809017 | − | 0.587785i | 0.155695 | − | 0.113119i | ||||
\(28\) | 14.8263 | + | 12.0061i | 2.80191 | + | 2.26894i | ||||
\(29\) | 1.46038 | − | 6.87053i | 0.271185 | − | 1.27583i | −0.605919 | − | 0.795526i | \(-0.707195\pi\) |
0.877104 | − | 0.480300i | \(-0.159472\pi\) | |||||||
\(30\) | −2.95812 | + | 0.628768i | −0.540076 | + | 0.114797i | ||||
\(31\) | −0.237399 | − | 1.49888i | −0.0426382 | − | 0.269207i | 0.957154 | − | 0.289578i | \(-0.0935151\pi\) |
−0.999792 | + | 0.0203715i | \(0.993515\pi\) | |||||||
\(32\) | 5.86790 | + | 1.57230i | 1.03731 | + | 0.277946i | ||||
\(33\) | 2.23039 | + | 2.45466i | 0.388261 | + | 0.427302i | ||||
\(34\) | 0.519931 | − | 0.519931i | 0.0891675 | − | 0.0891675i | ||||
\(35\) | −4.96345 | − | 0.521680i | −0.838976 | − | 0.0881800i | ||||
\(36\) | 3.36310 | − | 3.02815i | 0.560516 | − | 0.504691i | ||||
\(37\) | 4.53787 | − | 2.94693i | 0.746022 | − | 0.484472i | −0.114794 | − | 0.993389i | \(-0.536621\pi\) |
0.860815 | + | 0.508917i | \(0.169954\pi\) | |||||||
\(38\) | −3.01595 | − | 4.15110i | −0.489252 | − | 0.673397i | ||||
\(39\) | −3.44686 | − | 1.05791i | −0.551939 | − | 0.169400i | ||||
\(40\) | −7.26380 | + | 2.36015i | −1.14851 | + | 0.373173i | ||||
\(41\) | 9.88595 | + | 0.518101i | 1.54393 | + | 0.0809137i | 0.805164 | − | 0.593053i | \(-0.202077\pi\) |
0.738762 | + | 0.673966i | \(0.235411\pi\) | |||||||
\(42\) | 9.83788 | − | 4.38011i | 1.51802 | − | 0.675865i | ||||
\(43\) | 1.05497 | + | 1.82727i | 0.160882 | + | 0.278656i | 0.935185 | − | 0.354159i | \(-0.115233\pi\) |
−0.774303 | + | 0.632815i | \(0.781899\pi\) | |||||||
\(44\) | 11.1995 | + | 9.99262i | 1.68839 | + | 1.50644i | ||||
\(45\) | −0.306409 | + | 1.14353i | −0.0456767 | + | 0.170468i | ||||
\(46\) | −8.98245 | + | 7.27385i | −1.32439 | + | 1.07247i | ||||
\(47\) | 4.33396 | + | 8.50587i | 0.632173 | + | 1.24071i | 0.955659 | + | 0.294476i | \(0.0951452\pi\) |
−0.323486 | + | 0.946233i | \(0.604855\pi\) | |||||||
\(48\) | 4.97103 | − | 5.52089i | 0.717507 | − | 0.796872i | ||||
\(49\) | 10.7127 | − | 1.12595i | 1.53039 | − | 0.160850i | ||||
\(50\) | −5.78487 | + | 7.14372i | −0.818104 | + | 1.01027i | ||||
\(51\) | −0.0889481 | − | 0.273754i | −0.0124552 | − | 0.0383332i | ||||
\(52\) | −16.0137 | − | 3.13080i | −2.22070 | − | 0.434164i | ||||
\(53\) | −10.5028 | − | 7.63075i | −1.44267 | − | 1.04816i | −0.987475 | − | 0.157774i | \(-0.949568\pi\) |
−0.455199 | − | 0.890390i | \(-0.650432\pi\) | |||||||
\(54\) | −0.661154 | − | 2.46746i | −0.0899717 | − | 0.335779i | ||||
\(55\) | −3.88086 | − | 0.596670i | −0.523295 | − | 0.0804550i | ||||
\(56\) | 23.5531 | − | 13.5984i | 3.14742 | − | 1.81716i | ||||
\(57\) | −1.98389 | + | 0.314218i | −0.262773 | + | 0.0416192i | ||||
\(58\) | −15.0482 | − | 9.77240i | −1.97592 | − | 1.28318i | ||||
\(59\) | −0.613755 | − | 11.7111i | −0.0799041 | − | 1.52466i | −0.685021 | − | 0.728523i | \(-0.740207\pi\) |
0.605117 | − | 0.796137i | \(-0.293126\pi\) | |||||||
\(60\) | −0.838114 | + | 5.29164i | −0.108200 | + | 0.683148i | ||||
\(61\) | −3.68882 | + | 8.28522i | −0.472305 | + | 1.06081i | 0.507645 | + | 0.861566i | \(0.330516\pi\) |
−0.979949 | + | 0.199247i | \(0.936150\pi\) | |||||||
\(62\) | −3.79191 | − | 0.805996i | −0.481573 | − | 0.102362i | ||||
\(63\) | 0.220630 | − | 4.20987i | 0.0277968 | − | 0.530394i | ||||
\(64\) | 0.388028 | − | 0.534074i | 0.0485035 | − | 0.0667593i | ||||
\(65\) | 3.95943 | − | 1.59471i | 0.491107 | − | 0.197800i | ||||
\(66\) | 7.89578 | − | 3.07199i | 0.971903 | − | 0.378136i | ||||
\(67\) | −1.16116 | + | 0.311132i | −0.141858 | + | 0.0380108i | −0.329049 | − | 0.944313i | \(-0.606728\pi\) |
0.187191 | + | 0.982323i | \(0.440062\pi\) | |||||||
\(68\) | −0.529826 | − | 1.19001i | −0.0642509 | − | 0.144310i | ||||
\(69\) | 0.940729 | + | 4.42578i | 0.113250 | + | 0.532802i | ||||
\(70\) | −5.78792 | + | 11.3594i | −0.691789 | + | 1.35771i | ||||
\(71\) | −0.223797 | − | 0.583010i | −0.0265598 | − | 0.0691906i | 0.919659 | − | 0.392717i | \(-0.128465\pi\) |
−0.946219 | + | 0.323527i | \(0.895132\pi\) | |||||||
\(72\) | −2.31197 | − | 6.02288i | −0.272468 | − | 0.709804i | ||||
\(73\) | 1.02354 | − | 2.00880i | 0.119796 | − | 0.235113i | −0.823320 | − | 0.567578i | \(-0.807880\pi\) |
0.943115 | + | 0.332465i | \(0.107880\pi\) | |||||||
\(74\) | −2.87373 | − | 13.5199i | −0.334065 | − | 1.57165i | ||||
\(75\) | 1.46362 | + | 3.28735i | 0.169004 | + | 0.379590i | ||||
\(76\) | −8.78028 | + | 2.35267i | −1.00717 | + | 0.269870i | ||||
\(77\) | 13.9591 | − | 0.794951i | 1.59079 | − | 0.0905931i | ||||
\(78\) | −5.67836 | + | 7.25173i | −0.642948 | + | 0.821097i | ||||
\(79\) | −3.24283 | + | 4.46337i | −0.364846 | + | 0.502168i | −0.951491 | − | 0.307676i | \(-0.900449\pi\) |
0.586645 | + | 0.809845i | \(0.300449\pi\) | |||||||
\(80\) | −0.460300 | + | 8.78304i | −0.0514631 | + | 0.981974i | ||||
\(81\) | −0.978148 | − | 0.207912i | −0.108683 | − | 0.0231013i | ||||
\(82\) | 10.2857 | − | 23.1021i | 1.13587 | − | 2.55120i | ||||
\(83\) | 2.36559 | − | 14.9357i | 0.259657 | − | 1.63941i | −0.421180 | − | 0.906977i | \(-0.638384\pi\) |
0.680838 | − | 0.732434i | \(-0.261616\pi\) | |||||||
\(84\) | −0.998460 | − | 19.0518i | −0.108941 | − | 2.07872i | ||||
\(85\) | 0.285792 | + | 0.185596i | 0.0309985 | + | 0.0201307i | ||||
\(86\) | 5.32352 | − | 0.843162i | 0.574050 | − | 0.0909205i | ||||
\(87\) | −6.08298 | + | 3.51201i | −0.652164 | + | 0.376527i | ||||
\(88\) | 19.0205 | − | 9.80016i | 2.02759 | − | 1.04470i | ||||
\(89\) | −0.225165 | − | 0.840327i | −0.0238674 | − | 0.0890744i | 0.952965 | − | 0.303081i | \(-0.0980153\pi\) |
−0.976832 | + | 0.214007i | \(0.931349\pi\) | |||||||
\(90\) | 2.44663 | + | 1.77758i | 0.257898 | + | 0.187374i | ||||
\(91\) | −12.6104 | + | 8.48590i | −1.32193 | + | 0.889564i | ||||
\(92\) | 6.32752 | + | 19.4741i | 0.659690 | + | 2.03032i | ||||
\(93\) | −0.955034 | + | 1.17937i | −0.0990325 | + | 0.122295i | ||||
\(94\) | 24.2526 | − | 2.54906i | 2.50147 | − | 0.262915i | ||||
\(95\) | 1.59116 | − | 1.76716i | 0.163250 | − | 0.181307i | ||||
\(96\) | −2.75794 | − | 5.41277i | −0.281481 | − | 0.552439i | ||||
\(97\) | −7.71194 | + | 6.24500i | −0.783028 | + | 0.634084i | −0.935140 | − | 0.354279i | \(-0.884726\pi\) |
0.152111 | + | 0.988363i | \(0.451393\pi\) | |||||||
\(98\) | 7.12177 | − | 26.5788i | 0.719408 | − | 2.68487i | ||||
\(99\) | 0.331745 | − | 3.29999i | 0.0333417 | − | 0.331662i | ||||
\(100\) | 8.14237 | + | 14.1030i | 0.814237 | + | 1.41030i | ||||
\(101\) | −1.52463 | + | 0.678808i | −0.151706 | + | 0.0675439i | −0.481185 | − | 0.876619i | \(-0.659794\pi\) |
0.329479 | + | 0.944163i | \(0.393127\pi\) | |||||||
\(102\) | −0.734286 | − | 0.0384823i | −0.0727052 | − | 0.00381032i | ||||
\(103\) | 7.78000 | − | 2.52788i | 0.766587 | − | 0.249079i | 0.100483 | − | 0.994939i | \(-0.467961\pi\) |
0.666103 | + | 0.745860i | \(0.267961\pi\) | |||||||
\(104\) | −12.3478 | + | 19.7129i | −1.21080 | + | 1.93301i | ||||
\(105\) | 2.93351 | + | 4.03764i | 0.286282 | + | 0.394033i | ||||
\(106\) | −27.8129 | + | 18.0619i | −2.70143 | + | 1.75433i | ||||
\(107\) | 0.191048 | − | 0.172021i | 0.0184693 | − | 0.0166299i | −0.659844 | − | 0.751402i | \(-0.729378\pi\) |
0.678314 | + | 0.734773i | \(0.262711\pi\) | |||||||
\(108\) | −4.50070 | − | 0.473043i | −0.433080 | − | 0.0455186i | ||||
\(109\) | 8.92791 | − | 8.92791i | 0.855138 | − | 0.855138i | −0.135622 | − | 0.990761i | \(-0.543303\pi\) |
0.990761 | + | 0.135622i | \(0.0433034\pi\) | |||||||
\(110\) | −4.97570 | + | 8.70898i | −0.474415 | + | 0.830369i | ||||
\(111\) | −5.22642 | − | 1.40042i | −0.496070 | − | 0.132922i | ||||
\(112\) | −4.89929 | − | 30.9329i | −0.462939 | − | 2.92288i | ||||
\(113\) | −3.58196 | + | 0.761368i | −0.336962 | + | 0.0716235i | −0.373285 | − | 0.927717i | \(-0.621769\pi\) |
0.0363232 | + | 0.999340i | \(0.488435\pi\) | |||||||
\(114\) | −1.06680 | + | 5.01891i | −0.0999153 | + | 0.470064i | ||||
\(115\) | −4.16287 | − | 3.37103i | −0.388190 | − | 0.314350i | ||||
\(116\) | −25.7164 | + | 18.6840i | −2.38770 | + | 1.73477i | ||||
\(117\) | 1.52022 | + | 3.26939i | 0.140545 | + | 0.302255i | ||||
\(118\) | −28.4910 | − | 9.25729i | −2.62281 | − | 0.852202i | ||||
\(119\) | −1.13285 | − | 0.434859i | −0.103848 | − | 0.0398634i | ||||
\(120\) | 6.61436 | + | 3.81880i | 0.603806 | + | 0.348607i | ||||
\(121\) | 10.9995 | − | 0.0995967i | 0.999959 | − | 0.00905425i | ||||
\(122\) | 16.3819 | + | 16.3819i | 1.48315 | + | 1.48315i | ||||
\(123\) | −6.22997 | − | 7.69337i | −0.561737 | − | 0.693688i | ||||
\(124\) | −3.74043 | + | 5.75976i | −0.335901 | + | 0.517242i | ||||
\(125\) | −9.06996 | − | 4.62138i | −0.811242 | − | 0.413349i | ||||
\(126\) | −9.83788 | − | 4.38011i | −0.876428 | − | 0.390211i | ||||
\(127\) | 2.30381 | + | 21.9193i | 0.204430 | + | 1.94502i | 0.310289 | + | 0.950642i | \(0.399574\pi\) |
−0.105859 | + | 0.994381i | \(0.533759\pi\) | |||||||
\(128\) | 5.69879 | + | 8.77537i | 0.503707 | + | 0.775640i | ||||
\(129\) | 0.652010 | − | 2.00668i | 0.0574063 | − | 0.176678i | ||||
\(130\) | −0.178460 | − | 10.9025i | −0.0156520 | − | 0.956210i | ||||
\(131\) | − | 7.91100i | − | 0.691188i | −0.938384 | − | 0.345594i | \(-0.887678\pi\) | ||
0.938384 | − | 0.345594i | \(-0.112322\pi\) | |||||||
\(132\) | −0.0679499 | − | 15.0092i | −0.00591428 | − | 1.30638i | ||||
\(133\) | −4.23383 | + | 7.33321i | −0.367120 | + | 0.635870i | ||||
\(134\) | −0.320988 | + | 3.05400i | −0.0277292 | + | 0.263825i | ||||
\(135\) | 1.05484 | − | 0.537467i | 0.0907860 | − | 0.0462578i | ||||
\(136\) | −1.85443 | + | 0.0971867i | −0.159016 | + | 0.00833369i | ||||
\(137\) | −13.4793 | + | 5.17422i | −1.15161 | + | 0.442063i | −0.857893 | − | 0.513828i | \(-0.828227\pi\) |
−0.293721 | + | 0.955891i | \(0.594894\pi\) | |||||||
\(138\) | 11.4160 | + | 1.80811i | 0.971791 | + | 0.153917i | ||||
\(139\) | 11.9698 | + | 10.7777i | 1.01527 | + | 0.914152i | 0.996324 | − | 0.0856687i | \(-0.0273027\pi\) |
0.0189448 | + | 0.999821i | \(0.493969\pi\) | |||||||
\(140\) | 15.1128 | + | 16.7845i | 1.27727 | + | 1.41855i | ||||
\(141\) | 3.42111 | − | 8.91230i | 0.288110 | − | 0.750551i | ||||
\(142\) | −1.59526 | −0.133871 | ||||||||
\(143\) | −10.2290 | + | 6.19420i | −0.855390 | + | 0.517985i | ||||
\(144\) | −7.42909 | −0.619091 | ||||||||
\(145\) | 2.98002 | − | 7.76323i | 0.247478 | − | 0.644701i | ||||
\(146\) | −3.85367 | − | 4.27993i | −0.318932 | − | 0.354209i | ||||
\(147\) | −8.00495 | − | 7.20769i | −0.660237 | − | 0.594480i | ||||
\(148\) | −24.1850 | − | 3.83053i | −1.98800 | − | 0.314868i | ||||
\(149\) | 16.8322 | − | 6.46129i | 1.37895 | − | 0.529329i | 0.447855 | − | 0.894106i | \(-0.352188\pi\) |
0.931095 | + | 0.364777i | \(0.118855\pi\) | |||||||
\(150\) | 9.17965 | − | 0.481085i | 0.749515 | − | 0.0392804i | ||||
\(151\) | 20.8466 | − | 10.6219i | 1.69648 | − | 0.864398i | 0.709272 | − | 0.704934i | \(-0.249024\pi\) |
0.987204 | − | 0.159463i | \(-0.0509764\pi\) | |||||||
\(152\) | −1.35452 | + | 12.8874i | −0.109866 | + | 1.04531i | ||||
\(153\) | −0.143921 | + | 0.249279i | −0.0116353 | + | 0.0201530i | ||||
\(154\) | 10.8831 | − | 34.0179i | 0.876984 | − | 2.74124i | ||||
\(155\) | − | 1.79660i | − | 0.144307i | ||||||
\(156\) | 8.38863 | + | 13.9954i | 0.671628 | + | 1.12053i | ||||
\(157\) | 3.08082 | − | 9.48180i | 0.245876 | − | 0.756730i | −0.749615 | − | 0.661875i | \(-0.769761\pi\) |
0.995491 | − | 0.0948554i | \(-0.0302389\pi\) | |||||||
\(158\) | 7.67574 | + | 11.8196i | 0.610649 | + | 0.940318i | ||||
\(159\) | 1.35701 | + | 12.9111i | 0.107618 | + | 1.02392i | ||||
\(160\) | 6.57012 | + | 2.92521i | 0.519414 | + | 0.231258i | ||||
\(161\) | 16.9954 | + | 8.65959i | 1.33943 | + | 0.682471i | ||||
\(162\) | −1.39128 | + | 2.14239i | −0.109309 | + | 0.168322i | ||||
\(163\) | 10.0845 | + | 12.4533i | 0.789878 | + | 0.975418i | 0.999997 | − | 0.00225750i | \(-0.000718584\pi\) |
−0.210119 | + | 0.977676i | \(0.567385\pi\) | |||||||
\(164\) | −31.6785 | − | 31.6785i | −2.47368 | − | 2.47368i | ||||
\(165\) | 2.15339 | + | 3.28329i | 0.167641 | + | 0.255604i | ||||
\(166\) | −33.4537 | − | 19.3145i | −2.59651 | − | 1.49910i | ||||
\(167\) | 8.84530 | + | 3.39539i | 0.684470 | + | 0.262743i | 0.675655 | − | 0.737218i | \(-0.263861\pi\) |
0.00881457 | + | 0.999961i | \(0.497194\pi\) | |||||||
\(168\) | −25.8657 | − | 8.40427i | −1.99558 | − | 0.648403i | ||||
\(169\) | 6.12805 | − | 11.4650i | 0.471388 | − | 0.881926i | ||||
\(170\) | 0.704244 | − | 0.511663i | 0.0540131 | − | 0.0392428i | ||||
\(171\) | 1.56099 | + | 1.26407i | 0.119372 | + | 0.0966657i | ||||
\(172\) | 1.98526 | − | 9.33990i | 0.151374 | − | 0.712161i | ||||
\(173\) | −13.2400 | + | 2.81425i | −1.00662 | + | 0.213964i | −0.681585 | − | 0.731739i | \(-0.738709\pi\) |
−0.325034 | + | 0.945702i | \(0.605376\pi\) | |||||||
\(174\) | 2.80689 | + | 17.7220i | 0.212790 | + | 1.34350i | ||||
\(175\) | 14.6529 | + | 3.92623i | 1.10766 | + | 0.296795i | ||||
\(176\) | −2.68644 | − | 24.4926i | −0.202498 | − | 1.84620i | ||||
\(177\) | −8.29239 | + | 8.29239i | −0.623294 | + | 0.623294i | ||||
\(178\) | −2.21017 | − | 0.232298i | −0.165659 | − | 0.0174115i | ||||
\(179\) | 6.90949 | − | 6.22133i | 0.516440 | − | 0.465004i | −0.369218 | − | 0.929343i | \(-0.620374\pi\) |
0.885658 | + | 0.464338i | \(0.153708\pi\) | |||||||
\(180\) | 4.49326 | − | 2.91796i | 0.334908 | − | 0.217492i | ||||
\(181\) | 0.0240497 | + | 0.0331016i | 0.00178760 | + | 0.00246042i | 0.809910 | − | 0.586554i | \(-0.199516\pi\) |
−0.808122 | + | 0.589015i | \(0.799516\pi\) | |||||||
\(182\) | 8.69327 | + | 37.8421i | 0.644388 | + | 2.80505i | ||||
\(183\) | 8.62542 | − | 2.80257i | 0.637609 | − | 0.207172i | ||||
\(184\) | 29.1503 | + | 1.52770i | 2.14899 | + | 0.112624i | ||||
\(185\) | 5.85188 | − | 2.60543i | 0.430239 | − | 0.191555i | ||||
\(186\) | 1.93831 | + | 3.35726i | 0.142124 | + | 0.246166i | ||||
\(187\) | −0.873878 | − | 0.384345i | −0.0639043 | − | 0.0281061i | ||||
\(188\) | 11.1815 | − | 41.7299i | 0.815495 | − | 3.04347i | ||||
\(189\) | −3.27618 | + | 2.65300i | −0.238307 | + | 0.192977i | ||||
\(190\) | −2.75776 | − | 5.41241i | −0.200069 | − | 0.392658i | ||||
\(191\) | 0.107585 | − | 0.119485i | 0.00778457 | − | 0.00864564i | −0.739240 | − | 0.673442i | \(-0.764815\pi\) |
0.747025 | + | 0.664796i | \(0.231482\pi\) | |||||||
\(192\) | −0.656536 | + | 0.0690047i | −0.0473814 | + | 0.00497998i | ||||
\(193\) | 6.72510 | − | 8.30481i | 0.484084 | − | 0.597793i | −0.475326 | − | 0.879810i | \(-0.657670\pi\) |
0.959410 | + | 0.282016i | \(0.0910032\pi\) | |||||||
\(194\) | 7.83339 | + | 24.1087i | 0.562405 | + | 1.73090i | ||||
\(195\) | −3.83448 | − | 1.87536i | −0.274593 | − | 0.134297i | ||||
\(196\) | −39.4374 | − | 28.6530i | −2.81696 | − | 2.04664i | ||||
\(197\) | 1.45051 | + | 5.41337i | 0.103344 | + | 0.385687i | 0.998152 | − | 0.0607651i | \(-0.0193541\pi\) |
−0.894808 | + | 0.446452i | \(0.852687\pi\) | |||||||
\(198\) | −7.56624 | − | 3.81214i | −0.537709 | − | 0.270917i | ||||
\(199\) | −5.90059 | + | 3.40671i | −0.418282 | + | 0.241495i | −0.694342 | − | 0.719645i | \(-0.744304\pi\) |
0.276060 | + | 0.961140i | \(0.410971\pi\) | |||||||
\(200\) | 22.9291 | − | 3.63162i | 1.62134 | − | 0.256794i | ||||
\(201\) | 1.00818 | + | 0.654721i | 0.0711117 | + | 0.0461805i | ||||
\(202\) | 0.223121 | + | 4.25740i | 0.0156987 | + | 0.299550i | ||||
\(203\) | −4.63216 | + | 29.2463i | −0.325114 | + | 2.05269i | ||||
\(204\) | −0.529826 | + | 1.19001i | −0.0370952 | + | 0.0833173i | ||||
\(205\) | 11.4637 | + | 2.43667i | 0.800656 | + | 0.170185i | ||||
\(206\) | 1.09365 | − | 20.8682i | 0.0761985 | − | 1.45395i | ||||
\(207\) | 2.65953 | − | 3.66052i | 0.184850 | − | 0.254424i | ||||
\(208\) | 16.0970 | + | 21.4097i | 1.11612 | + | 1.48450i | ||||
\(209\) | −3.60297 | + | 5.60347i | −0.249223 | + | 0.387600i | ||||
\(210\) | 12.3146 | − | 3.29968i | 0.849787 | − | 0.227700i | ||||
\(211\) | 9.31734 | + | 20.9271i | 0.641432 | + | 1.44068i | 0.882566 | + | 0.470188i | \(0.155814\pi\) |
−0.241134 | + | 0.970492i | \(0.577519\pi\) | |||||||
\(212\) | 12.2150 | + | 57.4670i | 0.838929 | + | 3.94685i | ||||
\(213\) | −0.283512 | + | 0.556423i | −0.0194259 | + | 0.0381255i | ||||
\(214\) | −0.235345 | − | 0.613095i | −0.0160879 | − | 0.0419103i | ||||
\(215\) | 0.895171 | + | 2.33200i | 0.0610502 | + | 0.159041i | ||||
\(216\) | −2.92887 | + | 5.74822i | −0.199284 | + | 0.391117i | ||||
\(217\) | 1.33012 | + | 6.25772i | 0.0902944 | + | 0.424802i | ||||
\(218\) | −13.1185 | − | 29.4647i | −0.888498 | − | 1.99560i | ||||
\(219\) | −2.17771 | + | 0.583516i | −0.147156 | + | 0.0394304i | ||||
\(220\) | 11.2449 | + | 13.7585i | 0.758131 | + | 0.927595i | ||||
\(221\) | 1.03023 | − | 0.125361i | 0.0693008 | − | 0.00843268i | ||||
\(222\) | −8.12430 | + | 11.1821i | −0.545268 | + | 0.750497i | ||||
\(223\) | 1.06749 | − | 20.3689i | 0.0714843 | − | 1.36400i | −0.693734 | − | 0.720232i | \(-0.744036\pi\) |
0.765218 | − | 0.643771i | \(-0.222631\pi\) | |||||||
\(224\) | −25.0500 | − | 5.32454i | −1.67372 | − | 0.355761i | ||||
\(225\) | 1.46362 | − | 3.28735i | 0.0975747 | − | 0.219156i | ||||
\(226\) | −1.46337 | + | 9.23937i | −0.0973421 | + | 0.614594i | ||||
\(227\) | −0.995188 | − | 18.9893i | −0.0660529 | − | 1.26037i | −0.807708 | − | 0.589583i | \(-0.799292\pi\) |
0.741655 | − | 0.670782i | \(-0.234041\pi\) | |||||||
\(228\) | 7.62353 | + | 4.95078i | 0.504880 | + | 0.327873i | ||||
\(229\) | −8.80090 | + | 1.39393i | −0.581580 | + | 0.0921132i | −0.440291 | − | 0.897855i | \(-0.645125\pi\) |
−0.141289 | + | 0.989968i | \(0.545125\pi\) | |||||||
\(230\) | −11.8503 | + | 6.84175i | −0.781383 | + | 0.451131i | ||||
\(231\) | −9.93124 | − | 9.84172i | −0.653427 | − | 0.647538i | ||||
\(232\) | 11.7283 | + | 43.7706i | 0.770000 | + | 2.87368i | ||||
\(233\) | −1.66909 | − | 1.21267i | −0.109346 | − | 0.0794445i | 0.531769 | − | 0.846890i | \(-0.321528\pi\) |
−0.641115 | + | 0.767445i | \(0.721528\pi\) | |||||||
\(234\) | 9.18865 | − | 0.632506i | 0.600681 | − | 0.0413482i | ||||
\(235\) | 3.49241 | + | 10.7485i | 0.227820 | + | 0.701157i | ||||
\(236\) | −33.3989 | + | 41.2442i | −2.17408 | + | 2.68477i | ||||
\(237\) | 5.48680 | − | 0.576686i | 0.356406 | − | 0.0374598i | ||||
\(238\) | −2.07413 | + | 2.30356i | −0.134446 | + | 0.149317i | ||||
\(239\) | −6.96850 | − | 13.6764i | −0.450755 | − | 0.884656i | −0.998836 | − | 0.0482310i | \(-0.984642\pi\) |
0.548082 | − | 0.836425i | \(-0.315358\pi\) | |||||||
\(240\) | 6.83507 | − | 5.53493i | 0.441202 | − | 0.357278i | ||||
\(241\) | −6.04345 | + | 22.5544i | −0.389293 | + | 1.45286i | 0.441995 | + | 0.897017i | \(0.354271\pi\) |
−0.831288 | + | 0.555842i | \(0.812396\pi\) | |||||||
\(242\) | 9.83204 | − | 26.3233i | 0.632028 | − | 1.69213i | ||||
\(243\) | 0.500000 | + | 0.866025i | 0.0320750 | + | 0.0555556i | ||||
\(244\) | 37.4947 | − | 16.6937i | 2.40035 | − | 1.06871i | ||||
\(245\) | 12.7349 | + | 0.667406i | 0.813601 | + | 0.0426390i | ||||
\(246\) | −24.0507 | + | 7.81453i | −1.53341 | + | 0.498236i | ||||
\(247\) | 0.260609 | − | 7.23751i | 0.0165822 | − | 0.460512i | ||||
\(248\) | 5.75464 | + | 7.92059i | 0.365420 | + | 0.502958i | ||||
\(249\) | −12.6823 | + | 8.23599i | −0.803709 | + | 0.521935i | ||||
\(250\) | −19.3243 | + | 17.3997i | −1.22218 | + | 1.10045i | ||||
\(251\) | 0.0334602 | + | 0.00351681i | 0.00211199 | + | 0.000221979i | 0.105584 | − | 0.994410i | \(-0.466329\pi\) |
−0.103472 | + | 0.994632i | \(0.532995\pi\) | |||||||
\(252\) | −13.4901 | + | 13.4901i | −0.849797 | + | 0.849797i | ||||
\(253\) | 13.0299 | + | 7.44438i | 0.819184 | + | 0.468024i | ||||
\(254\) | 54.3829 | + | 14.5719i | 3.41229 | + | 0.914320i | ||||
\(255\) | −0.0533079 | − | 0.336573i | −0.00333827 | − | 0.0210770i | ||||
\(256\) | 27.4362 | − | 5.83175i | 1.71476 | − | 0.364484i | ||||
\(257\) | −2.54959 | + | 11.9949i | −0.159039 | + | 0.748220i | 0.824258 | + | 0.566214i | \(0.191592\pi\) |
−0.983297 | + | 0.182006i | \(0.941741\pi\) | |||||||
\(258\) | −4.18872 | − | 3.39196i | −0.260778 | − | 0.211174i | ||||
\(259\) | −18.4537 | + | 13.4074i | −1.14666 | + | 0.833095i | ||||
\(260\) | −18.1450 | − | 6.62655i | −1.12530 | − | 0.410961i | ||||
\(261\) | 6.68024 | + | 2.17054i | 0.413497 | + | 0.134353i | ||||
\(262\) | −18.8664 | − | 7.24215i | −1.16557 | − | 0.447421i | ||||
\(263\) | −23.5436 | − | 13.5929i | −1.45176 | − | 0.838174i | −0.453179 | − | 0.891420i | \(-0.649710\pi\) |
−0.998581 | + | 0.0532457i | \(0.983043\pi\) | |||||||
\(264\) | −20.0102 | − | 7.57742i | −1.23154 | − | 0.466358i | ||||
\(265\) | −10.8677 | − | 10.8677i | −0.667598 | − | 0.667598i | ||||
\(266\) | 13.6126 | + | 16.8102i | 0.834644 | + | 1.03070i | ||||
\(267\) | −0.473820 | + | 0.729618i | −0.0289973 | + | 0.0446519i | ||||
\(268\) | 4.84724 | + | 2.46979i | 0.296092 | + | 0.150867i | ||||
\(269\) | 17.3116 | + | 7.70762i | 1.05551 | + | 0.469942i | 0.859752 | − | 0.510711i | \(-0.170618\pi\) |
0.195754 | + | 0.980653i | \(0.437285\pi\) | |||||||
\(270\) | −0.316116 | − | 3.00764i | −0.0192382 | − | 0.183039i | ||||
\(271\) | −5.15288 | − | 7.93474i | −0.313015 | − | 0.482001i | 0.646790 | − | 0.762668i | \(-0.276111\pi\) |
−0.959805 | + | 0.280667i | \(0.909444\pi\) | |||||||
\(272\) | −0.660804 | + | 2.03374i | −0.0400671 | + | 0.123314i | ||||
\(273\) | 14.7443 | + | 3.69317i | 0.892363 | + | 0.223521i | ||||
\(274\) | 36.8827i | 2.22816i | ||||||||
\(275\) | 11.3672 | + | 3.63660i | 0.685465 | + | 0.219295i | ||||
\(276\) | 10.2382 | − | 17.7330i | 0.616264 | − | 1.06740i | ||||
\(277\) | 1.85808 | − | 17.6785i | 0.111641 | − | 1.06220i | −0.785018 | − | 0.619473i | \(-0.787346\pi\) |
0.896659 | − | 0.442722i | \(-0.145987\pi\) | |||||||
\(278\) | 36.6608 | − | 18.6796i | 2.19877 | − | 1.12033i | ||||
\(279\) | 1.51548 | − | 0.0794232i | 0.0907297 | − | 0.00475494i | ||||
\(280\) | 30.0590 | − | 11.5386i | 1.79637 | − | 0.689560i | ||||
\(281\) | 6.24020 | + | 0.988350i | 0.372259 | + | 0.0589600i | 0.339761 | − | 0.940512i | \(-0.389654\pi\) |
0.0324979 | + | 0.999472i | \(0.489654\pi\) | |||||||
\(282\) | −18.1225 | − | 16.3176i | −1.07918 | − | 0.971697i | ||||
\(283\) | 6.68421 | + | 7.42357i | 0.397335 | + | 0.441285i | 0.908302 | − | 0.418315i | \(-0.137379\pi\) |
−0.510967 | + | 0.859600i | \(0.670713\pi\) | |||||||
\(284\) | −1.01279 | + | 2.63841i | −0.0600980 | + | 0.156561i | ||||
\(285\) | −2.37795 | −0.140858 | ||||||||
\(286\) | 5.40800 | + | 30.0649i | 0.319782 | + | 1.77778i | ||||
\(287\) | −41.7329 | −2.46342 | ||||||||
\(288\) | −2.17705 | + | 5.67140i | −0.128284 | + | 0.334191i | ||||
\(289\) | −11.3198 | − | 12.5719i | −0.665869 | − | 0.739523i | ||||
\(290\) | −15.7860 | − | 14.2137i | −0.926983 | − | 0.834659i | ||||
\(291\) | 9.80123 | + | 1.55236i | 0.574559 | + | 0.0910011i | ||||
\(292\) | −9.52520 | + | 3.65638i | −0.557420 | + | 0.213974i | ||||
\(293\) | −15.9723 | + | 0.837072i | −0.933111 | + | 0.0489023i | −0.512828 | − | 0.858491i | \(-0.671402\pi\) |
−0.420282 | + | 0.907393i | \(0.638069\pi\) | |||||||
\(294\) | −24.5173 | + | 12.4922i | −1.42988 | + | 0.728559i | ||||
\(295\) | 1.45122 | − | 13.8075i | 0.0844934 | − | 0.803901i | ||||
\(296\) | −17.4535 | + | 30.2304i | −1.01447 | + | 1.75711i | ||||
\(297\) | −2.67435 | + | 1.96159i | −0.155182 | + | 0.113823i | ||||
\(298\) | − | 46.0571i | − | 2.66802i | ||||||
\(299\) | −16.3117 | + | 0.267002i | −0.943330 | + | 0.0154411i | ||||
\(300\) | 5.03226 | − | 15.4877i | 0.290538 | − | 0.894184i | ||||
\(301\) | −4.84446 | − | 7.45982i | −0.279230 | − | 0.429977i | ||||
\(302\) | −6.24736 | − | 59.4397i | −0.359495 | − | 3.42037i | ||||
\(303\) | 1.52463 | + | 0.678808i | 0.0875876 | + | 0.0389965i | ||||
\(304\) | 13.2958 | + | 6.77456i | 0.762568 | + | 0.388548i | ||||
\(305\) | −5.84773 | + | 9.00471i | −0.334840 | + | 0.515608i | ||||
\(306\) | 0.462735 | + | 0.571431i | 0.0264528 | + | 0.0326665i | ||||
\(307\) | −15.8745 | − | 15.8745i | −0.906004 | − | 0.906004i | 0.0899427 | − | 0.995947i | \(-0.471332\pi\) |
−0.995947 | + | 0.0899427i | \(0.971332\pi\) | |||||||
\(308\) | −49.3531 | − | 39.5967i | −2.81215 | − | 2.25623i | ||||
\(309\) | −7.08442 | − | 4.09019i | −0.403018 | − | 0.232683i | ||||
\(310\) | −4.28460 | − | 1.64470i | −0.243349 | − | 0.0934129i | ||||
\(311\) | −10.1985 | − | 3.31370i | −0.578305 | − | 0.187903i | 0.00523588 | − | 0.999986i | \(-0.498333\pi\) |
−0.583541 | + | 0.812083i | \(0.698333\pi\) | |||||||
\(312\) | 22.9118 | − | 4.01431i | 1.29712 | − | 0.227266i | ||||
\(313\) | −6.72645 | + | 4.88705i | −0.380202 | + | 0.276233i | −0.761429 | − | 0.648249i | \(-0.775502\pi\) |
0.381227 | + | 0.924481i | \(0.375502\pi\) | |||||||
\(314\) | −19.7922 | − | 16.0274i | −1.11694 | − | 0.904478i | ||||
\(315\) | 1.03764 | − | 4.88173i | 0.0584646 | − | 0.275054i | ||||
\(316\) | 24.4217 | − | 5.19098i | 1.37383 | − | 0.292016i | ||||
\(317\) | −0.840324 | − | 5.30560i | −0.0471973 | − | 0.297992i | 0.952787 | − | 0.303640i | \(-0.0982021\pi\) |
−0.999984 | + | 0.00564817i | \(0.998202\pi\) | |||||||
\(318\) | 32.0331 | + | 8.58324i | 1.79633 | + | 0.481324i | ||||
\(319\) | −4.74031 | + | 22.8087i | −0.265406 | + | 1.27704i | ||||
\(320\) | 0.552629 | − | 0.552629i | 0.0308929 | − | 0.0308929i | ||||
\(321\) | −0.255672 | − | 0.0268723i | −0.0142702 | − | 0.00149986i | ||||
\(322\) | 36.2102 | − | 32.6038i | 2.01791 | − | 1.81694i | ||||
\(323\) | 0.484891 | − | 0.314892i | 0.0269801 | − | 0.0175211i | ||||
\(324\) | 2.66002 | + | 3.66120i | 0.147779 | + | 0.203400i | ||||
\(325\) | −12.6450 | + | 2.90487i | −0.701419 | + | 0.161133i | ||||
\(326\) | 38.9310 | − | 12.6494i | 2.15619 | − | 0.700587i | ||||
\(327\) | −12.6087 | − | 0.660792i | −0.697261 | − | 0.0365419i | ||||
\(328\) | −58.3441 | + | 25.9765i | −3.22151 | + | 1.43431i | ||||
\(329\) | −20.1221 | − | 34.8525i | −1.10937 | − | 1.92148i | ||||
\(330\) | 9.80143 | − | 2.12978i | 0.539551 | − | 0.117241i | ||||
\(331\) | −6.14536 | + | 22.9348i | −0.337779 | + | 1.26061i | 0.563045 | + | 0.826426i | \(0.309630\pi\) |
−0.900824 | + | 0.434184i | \(0.857037\pi\) | |||||||
\(332\) | −53.1833 | + | 43.0670i | −2.91881 | + | 2.36361i | ||||
\(333\) | 2.45645 | + | 4.82105i | 0.134613 | + | 0.264192i | ||||
\(334\) | 16.1949 | − | 17.9863i | 0.886145 | − | 0.984164i | ||||
\(335\) | −1.41536 | + | 0.148760i | −0.0773294 | + | 0.00812764i | ||||
\(336\) | −19.7094 | + | 24.3390i | −1.07523 | + | 1.32780i | ||||
\(337\) | 8.71727 | + | 26.8290i | 0.474860 | + | 1.46147i | 0.846147 | + | 0.532950i | \(0.178917\pi\) |
−0.371287 | + | 0.928518i | \(0.621083\pi\) | |||||||
\(338\) | −21.7323 | − | 25.1101i | −1.18208 | − | 1.36581i | ||||
\(339\) | 2.96260 | + | 2.15246i | 0.160907 | + | 0.116905i | ||||
\(340\) | −0.399136 | − | 1.48960i | −0.0216462 | − | 0.0807847i | ||||
\(341\) | 0.809862 | + | 4.96761i | 0.0438565 | + | 0.269011i | ||||
\(342\) | 4.44361 | − | 2.56552i | 0.240283 | − | 0.138727i | ||||
\(343\) | −15.7045 | + | 2.48735i | −0.847964 | + | 0.134304i | ||||
\(344\) | −11.4161 | − | 7.41368i | −0.615513 | − | 0.399719i | ||||
\(345\) | 0.280344 | + | 5.34927i | 0.0150932 | + | 0.287995i | ||||
\(346\) | −5.40908 | + | 34.1516i | −0.290794 | + | 1.83600i | ||||
\(347\) | 2.34604 | − | 5.26930i | 0.125942 | − | 0.282871i | −0.839559 | − | 0.543268i | \(-0.817187\pi\) |
0.965502 | + | 0.260397i | \(0.0838535\pi\) | |||||||
\(348\) | 31.0925 | + | 6.60892i | 1.66674 | + | 0.354275i | ||||
\(349\) | −1.23970 | + | 23.6548i | −0.0663594 | + | 1.26621i | 0.739114 | + | 0.673581i | \(0.235245\pi\) |
−0.805473 | + | 0.592632i | \(0.798089\pi\) | |||||||
\(350\) | 22.7775 | − | 31.3505i | 1.21751 | − | 1.67575i | ||||
\(351\) | 1.41240 | − | 3.31740i | 0.0753886 | − | 0.177069i | ||||
\(352\) | −19.4850 | − | 5.12656i | −1.03856 | − | 0.273247i | ||||
\(353\) | −0.0630264 | + | 0.0168879i | −0.00335456 | + | 0.000898851i | −0.260496 | − | 0.965475i | \(-0.583886\pi\) |
0.257141 | + | 0.966374i | \(0.417219\pi\) | |||||||
\(354\) | 12.1847 | + | 27.3673i | 0.647609 | + | 1.45455i | ||||
\(355\) | −0.153712 | − | 0.723159i | −0.00815819 | − | 0.0383813i | ||||
\(356\) | −1.78738 | + | 3.50793i | −0.0947310 | + | 0.185920i | ||||
\(357\) | 0.434859 | + | 1.13285i | 0.0230152 | + | 0.0599566i | ||||
\(358\) | −8.51155 | − | 22.1733i | −0.449849 | − | 1.17190i | ||||
\(359\) | 10.9414 | − | 21.4737i | 0.577466 | − | 1.13334i | −0.398855 | − | 0.917014i | \(-0.630592\pi\) |
0.976321 | − | 0.216326i | \(-0.0694075\pi\) | |||||||
\(360\) | −1.58795 | − | 7.47071i | −0.0836922 | − | 0.393741i | ||||
\(361\) | 6.08699 | + | 13.6716i | 0.320368 | + | 0.719558i | ||||
\(362\) | 0.100958 | − | 0.0270517i | 0.00530625 | − | 0.00142181i | ||||
\(363\) | −7.43415 | − | 8.10761i | −0.390192 | − | 0.425539i | ||||
\(364\) | 68.1065 | + | 9.64718i | 3.56975 | + | 0.505650i | ||||
\(365\) | 1.56884 | − | 2.15933i | 0.0821171 | − | 0.113024i | ||||
\(366\) | 1.21250 | − | 23.1358i | 0.0633782 | − | 1.20933i | ||||
\(367\) | −12.2895 | − | 2.61220i | −0.641504 | − | 0.136356i | −0.124337 | − | 0.992240i | \(-0.539680\pi\) |
−0.517168 | + | 0.855884i | \(0.673014\pi\) | |||||||
\(368\) | 13.6721 | − | 30.7080i | 0.712707 | − | 1.60077i | ||||
\(369\) | −1.54863 | + | 9.77764i | −0.0806182 | + | 0.509003i | ||||
\(370\) | −0.856392 | − | 16.3409i | −0.0445217 | − | 0.849524i | ||||
\(371\) | 45.8992 | + | 29.8073i | 2.38297 | + | 1.54752i | ||||
\(372\) | 6.78317 | − | 1.07435i | 0.351691 | − | 0.0557024i | ||||
\(373\) | −2.41408 | + | 1.39377i | −0.124996 | + | 0.0721666i | −0.561194 | − | 0.827684i | \(-0.689658\pi\) |
0.436198 | + | 0.899851i | \(0.356325\pi\) | |||||||
\(374\) | −1.71659 | + | 1.73221i | −0.0887629 | + | 0.0895702i | ||||
\(375\) | 2.63464 | + | 9.83260i | 0.136052 | + | 0.507753i | ||||
\(376\) | −49.8251 | − | 36.2001i | −2.56953 | − | 1.86688i | ||||
\(377\) | −8.21916 | − | 23.9547i | −0.423308 | − | 1.23373i | ||||
\(378\) | 3.32777 | + | 10.2418i | 0.171162 | + | 0.526783i | ||||
\(379\) | 3.66228 | − | 4.52254i | 0.188119 | − | 0.232307i | −0.674357 | − | 0.738405i | \(-0.735579\pi\) |
0.862476 | + | 0.506098i | \(0.168913\pi\) | |||||||
\(380\) | −10.7025 | + | 1.12487i | −0.549024 | + | 0.0577048i | ||||
\(381\) | 14.7477 | − | 16.3789i | 0.755546 | − | 0.839118i | ||||
\(382\) | −0.186463 | − | 0.365955i | −0.00954030 | − | 0.0187239i | ||||
\(383\) | 6.52285 | − | 5.28210i | 0.333302 | − | 0.269903i | −0.448030 | − | 0.894019i | \(-0.647874\pi\) |
0.781332 | + | 0.624116i | \(0.214541\pi\) | |||||||
\(384\) | 2.70813 | − | 10.1069i | 0.138199 | − | 0.515765i | ||||
\(385\) | 16.4696 | + | 1.65567i | 0.839367 | + | 0.0843809i | ||||
\(386\) | −13.6491 | − | 23.6409i | −0.694721 | − | 1.20329i | ||||
\(387\) | −1.92754 | + | 0.858194i | −0.0979821 | + | 0.0436244i | ||||
\(388\) | 44.8468 | + | 2.35032i | 2.27675 | + | 0.119319i | ||||
\(389\) | −7.97749 | + | 2.59204i | −0.404475 | + | 0.131422i | −0.504187 | − | 0.863595i | \(-0.668208\pi\) |
0.0997124 | + | 0.995016i | \(0.468208\pi\) | |||||||
\(390\) | −7.98270 | + | 7.42780i | −0.404220 | + | 0.376121i | ||||
\(391\) | −0.765524 | − | 1.05365i | −0.0387142 | − | 0.0532855i | ||||
\(392\) | −58.2813 | + | 37.8483i | −2.94365 | + | 1.91163i | ||||
\(393\) | −5.87902 | + | 5.29349i | −0.296557 | + | 0.267021i | ||||
\(394\) | 14.2379 | + | 1.49646i | 0.717294 | + | 0.0753906i | ||||
\(395\) | −4.61843 | + | 4.61843i | −0.232379 | + | 0.232379i | ||||
\(396\) | −11.1085 | + | 10.0936i | −0.558225 | + | 0.507223i | ||||
\(397\) | −14.9551 | − | 4.00722i | −0.750577 | − | 0.201116i | −0.136803 | − | 0.990598i | \(-0.543683\pi\) |
−0.613774 | + | 0.789482i | \(0.710349\pi\) | |||||||
\(398\) | 2.72273 | + | 17.1906i | 0.136478 | + | 0.861688i | ||||
\(399\) | 8.28262 | − | 1.76053i | 0.414650 | − | 0.0881365i | ||||
\(400\) | 5.55815 | − | 26.1490i | 0.277907 | − | 1.30745i | ||||
\(401\) | −10.1515 | − | 8.22054i | −0.506943 | − | 0.410514i | 0.341435 | − | 0.939905i | \(-0.389087\pi\) |
−0.848378 | + | 0.529391i | \(0.822420\pi\) | |||||||
\(402\) | 2.48435 | − | 1.80498i | 0.123908 | − | 0.0900244i | ||||
\(403\) | −3.51256 | − | 4.19535i | −0.174973 | − | 0.208985i | ||||
\(404\) | 7.18300 | + | 2.33390i | 0.357368 | + | 0.116116i | ||||
\(405\) | −1.10524 | − | 0.424262i | −0.0549198 | − | 0.0210817i | ||||
\(406\) | 65.5071 | + | 37.8205i | 3.25106 | + | 1.87700i | ||||
\(407\) | −15.0060 | + | 9.84189i | −0.743821 | + | 0.487845i | ||||
\(408\) | 1.31308 | + | 1.31308i | 0.0650073 | + | 0.0650073i | ||||
\(409\) | 11.5233 | + | 14.2300i | 0.569789 | + | 0.703631i | 0.977846 | − | 0.209326i | \(-0.0671269\pi\) |
−0.408057 | + | 0.912956i | \(0.633794\pi\) | |||||||
\(410\) | 16.3055 | − | 25.1083i | 0.805271 | − | 1.24001i | ||||
\(411\) | 12.8646 | + | 6.55485i | 0.634564 | + | 0.323327i | ||||
\(412\) | −33.8197 | − | 15.0575i | −1.66618 | − | 0.741829i | ||||
\(413\) | 5.16766 | + | 49.1670i | 0.254284 | + | 2.41935i | ||||
\(414\) | −6.29508 | − | 9.69357i | −0.309386 | − | 0.476413i | ||||
\(415\) | 5.53215 | − | 17.0262i | 0.271563 | − | 0.835784i | ||||
\(416\) | 21.0614 | − | 6.01451i | 1.03262 | − | 0.294886i | ||||
\(417\) | − | 16.1070i | − | 0.788764i | ||||||
\(418\) | 10.0650 | + | 13.7222i | 0.492295 | + | 0.671175i | ||||
\(419\) | 5.40328 | − | 9.35876i | 0.263968 | − | 0.457205i | −0.703325 | − | 0.710868i | \(-0.748302\pi\) |
0.967293 | + | 0.253663i | \(0.0816355\pi\) | |||||||
\(420\) | 2.36086 | − | 22.4621i | 0.115198 | − | 1.09604i | ||||
\(421\) | 11.2794 | − | 5.74715i | 0.549725 | − | 0.280099i | −0.156986 | − | 0.987601i | \(-0.550178\pi\) |
0.706711 | + | 0.707502i | \(0.250178\pi\) | |||||||
\(422\) | 58.4372 | − | 3.06257i | 2.84468 | − | 0.149083i | ||||
\(423\) | −8.91230 | + | 3.42111i | −0.433331 | + | 0.166340i | ||||
\(424\) | 82.7220 | + | 13.1019i | 4.01734 | + | 0.636283i | ||||
\(425\) | −0.769738 | − | 0.693075i | −0.0373378 | − | 0.0336191i | ||||
\(426\) | 1.06744 | + | 1.18551i | 0.0517175 | + | 0.0574381i | ||||
\(427\) | 13.7015 | − | 35.6936i | 0.663061 | − | 1.72733i | ||||
\(428\) | −1.16342 | −0.0562359 | ||||||||
\(429\) | 11.4477 | + | 3.45688i | 0.552700 | + | 0.166900i | ||||
\(430\) | 6.38092 | 0.307715 | ||||||||
\(431\) | −6.39066 | + | 16.6483i | −0.307827 | + | 0.801918i | 0.689178 | + | 0.724592i | \(0.257972\pi\) |
−0.997006 | + | 0.0773263i | \(0.975362\pi\) | |||||||
\(432\) | 4.97103 | + | 5.52089i | 0.239169 | + | 0.265624i | ||||
\(433\) | −19.7064 | − | 17.7437i | −0.947027 | − | 0.852707i | 0.0421979 | − | 0.999109i | \(-0.486564\pi\) |
−0.989225 | + | 0.146402i | \(0.953231\pi\) | |||||||
\(434\) | 16.1413 | + | 2.55653i | 0.774807 | + | 0.122717i | ||||
\(435\) | −7.76323 | + | 2.98002i | −0.372218 | + | 0.142881i | ||||
\(436\) | −57.0604 | + | 2.99041i | −2.73270 | + | 0.143215i | ||||
\(437\) | −8.09777 | + | 4.12602i | −0.387369 | + | 0.197374i | ||||
\(438\) | −0.602002 | + | 5.72766i | −0.0287648 | + | 0.273678i | ||||
\(439\) | 7.69631 | − | 13.3304i | 0.367325 | − | 0.636226i | −0.621821 | − | 0.783159i | \(-0.713607\pi\) |
0.989146 | + | 0.146933i | \(0.0469403\pi\) | |||||||
\(440\) | 24.0556 | − | 7.93672i | 1.14681 | − | 0.378368i | ||||
\(441\) | 10.7717i | 0.512939i | ||||||||
\(442\) | 0.644162 | − | 2.57169i | 0.0306397 | − | 0.122323i | ||||
\(443\) | −9.78561 | + | 30.1170i | −0.464928 | + | 1.43090i | 0.394144 | + | 0.919049i | \(0.371041\pi\) |
−0.859072 | + | 0.511854i | \(0.828959\pi\) | |||||||
\(444\) | 13.3363 | + | 20.5361i | 0.632913 | + | 0.974600i | ||||
\(445\) | −0.107657 | − | 1.02429i | −0.00510345 | − | 0.0485561i | ||||
\(446\) | −47.5992 | − | 21.1925i | −2.25389 | − | 1.00350i | ||||
\(447\) | −16.0646 | − | 8.18534i | −0.759831 | − | 0.387153i | ||||
\(448\) | −1.51571 | + | 2.33400i | −0.0716108 | + | 0.110271i | ||||
\(449\) | 25.9181 | + | 32.0062i | 1.22315 | + | 1.51047i | 0.794820 | + | 0.606846i | \(0.207565\pi\) |
0.428332 | + | 0.903621i | \(0.359101\pi\) | |||||||
\(450\) | −6.49990 | − | 6.49990i | −0.306408 | − | 0.306408i | ||||
\(451\) | −32.7954 | − | 1.56989i | −1.54428 | − | 0.0739233i | ||||
\(452\) | 14.3520 | + | 8.28613i | 0.675061 | + | 0.389747i | ||||
\(453\) | −21.8427 | − | 8.38464i | −1.02626 | − | 0.393945i | ||||
\(454\) | −46.1974 | − | 15.0105i | −2.16815 | − | 0.704476i | ||||
\(455\) | −16.3169 | + | 7.58711i | −0.764946 | + | 0.355689i | ||||
\(456\) | 10.4836 | − | 7.61676i | 0.490938 | − | 0.356687i | ||||
\(457\) | −4.51405 | − | 3.65541i | −0.211158 | − | 0.170993i | 0.517907 | − | 0.855437i | \(-0.326711\pi\) |
−0.729065 | + | 0.684444i | \(0.760045\pi\) | |||||||
\(458\) | −4.73252 | + | 22.2648i | −0.221136 | + | 1.04036i | ||||
\(459\) | 0.281552 | − | 0.0598457i | 0.0131417 | − | 0.00279336i | ||||
\(460\) | 3.79218 | + | 23.9429i | 0.176811 | + | 1.11634i | ||||
\(461\) | 23.3689 | + | 6.26169i | 1.08840 | + | 0.291636i | 0.758033 | − | 0.652216i | \(-0.226161\pi\) |
0.330368 | + | 0.943852i | \(0.392827\pi\) | |||||||
\(462\) | −32.5625 | + | 14.6747i | −1.51494 | + | 0.682731i | ||||
\(463\) | 15.4275 | − | 15.4275i | 0.716978 | − | 0.716978i | −0.251007 | − | 0.967985i | \(-0.580762\pi\) |
0.967985 | + | 0.251007i | \(0.0807617\pi\) | |||||||
\(464\) | 51.8963 | + | 5.45452i | 2.40922 | + | 0.253220i | ||||
\(465\) | −1.33514 | + | 1.20216i | −0.0619154 | + | 0.0557489i | ||||
\(466\) | −4.41999 | + | 2.87037i | −0.204752 | + | 0.132968i | ||||
\(467\) | −22.4899 | − | 30.9547i | −1.04071 | − | 1.43241i | −0.896594 | − | 0.442854i | \(-0.853966\pi\) |
−0.144116 | − | 0.989561i | \(-0.546034\pi\) | |||||||
\(468\) | 4.78754 | − | 15.5987i | 0.221304 | − | 0.721052i | ||||
\(469\) | 4.81969 | − | 1.56601i | 0.222553 | − | 0.0723117i | ||||
\(470\) | 28.8306 | + | 1.51095i | 1.32986 | + | 0.0696948i | ||||
\(471\) | −9.10782 | + | 4.05506i | −0.419666 | + | 0.186848i | ||||
\(472\) | 37.8283 | + | 65.5206i | 1.74119 | + | 3.01583i | ||||
\(473\) | −3.52636 | − | 6.04447i | −0.162142 | − | 0.277925i | ||||
\(474\) | 3.64761 | − | 13.6131i | 0.167540 | − | 0.625268i | ||||
\(475\) | −5.61716 | + | 4.54868i | −0.257733 | + | 0.208708i | ||||
\(476\) | 2.49305 | + | 4.89289i | 0.114269 | + | 0.224265i | ||||
\(477\) | 8.68679 | − | 9.64766i | 0.397741 | − | 0.441736i | ||||
\(478\) | −38.9954 | + | 4.09858i | −1.78361 | + | 0.187465i | ||||
\(479\) | 17.3069 | − | 21.3722i | 0.790772 | − | 0.976522i | −0.209227 | − | 0.977867i | \(-0.567095\pi\) |
0.999999 | + | 0.00134499i | \(0.000428125\pi\) | |||||||
\(480\) | −2.22242 | − | 6.83990i | −0.101439 | − | 0.312197i | ||||
\(481\) | 8.57117 | − | 17.5252i | 0.390812 | − | 0.799079i | ||||
\(482\) | 48.2562 | + | 35.0602i | 2.19801 | + | 1.59695i | ||||
\(483\) | −4.93681 | − | 18.4244i | −0.224633 | − | 0.838341i | ||||
\(484\) | −37.2941 | − | 32.9733i | −1.69519 | − | 1.49879i | ||||
\(485\) | −10.1741 | + | 5.87402i | −0.461982 | + | 0.266726i | ||||
\(486\) | 2.52305 | − | 0.399613i | 0.114448 | − | 0.0181268i | ||||
\(487\) | −34.2813 | − | 22.2625i | −1.55343 | − | 1.00881i | −0.982159 | − | 0.188050i | \(-0.939783\pi\) |
−0.571273 | − | 0.820760i | \(-0.693550\pi\) | |||||||
\(488\) | −3.06215 | − | 58.4293i | −0.138617 | − | 2.64497i | ||||
\(489\) | 2.50677 | − | 15.8271i | 0.113360 | − | 0.715727i | ||||
\(490\) | 13.2498 | − | 29.7596i | 0.598566 | − | 1.34440i | ||||
\(491\) | −10.9305 | − | 2.32334i | −0.493285 | − | 0.104851i | −0.0454492 | − | 0.998967i | \(-0.514472\pi\) |
−0.447836 | + | 0.894116i | \(0.647805\pi\) | |||||||
\(492\) | −2.34466 | + | 44.7388i | −0.105705 | + | 2.01698i | ||||
\(493\) | 1.18839 | − | 1.63568i | 0.0535224 | − | 0.0736672i | ||||
\(494\) | −17.0217 | − | 7.24710i | −0.765842 | − | 0.326063i | ||||
\(495\) | 0.999062 | − | 3.79723i | 0.0449045 | − | 0.170673i | ||||
\(496\) | 10.8900 | − | 2.91796i | 0.488974 | − | 0.131020i | ||||
\(497\) | 1.07079 | + | 2.40502i | 0.0480313 | + | 0.107880i | ||||
\(498\) | 8.03143 | + | 37.7849i | 0.359897 | + | 1.69318i | ||||
\(499\) | −4.35384 | + | 8.54490i | −0.194905 | + | 0.382522i | −0.967689 | − | 0.252147i | \(-0.918863\pi\) |
0.772784 | + | 0.634669i | \(0.218863\pi\) | |||||||
\(500\) | 16.5090 | + | 43.0073i | 0.738303 | + | 1.92335i | ||||
\(501\) | −3.39539 | − | 8.84530i | −0.151695 | − | 0.395179i | ||||
\(502\) | 0.0390183 | − | 0.0765777i | 0.00174147 | − | 0.00341783i | ||||
\(503\) | 7.70514 | + | 36.2499i | 0.343555 | + | 1.61630i | 0.722836 | + | 0.691020i | \(0.242838\pi\) |
−0.379281 | + | 0.925282i | \(0.623829\pi\) | |||||||
\(504\) | 11.0619 | + | 24.8455i | 0.492737 | + | 1.10671i | ||||
\(505\) | −1.90846 | + | 0.511369i | −0.0849252 | + | 0.0227556i | ||||
\(506\) | 29.6819 | − | 24.2592i | 1.31952 | − | 1.07845i | ||||
\(507\) | −12.6206 | + | 3.11758i | −0.560503 | + | 0.138457i | ||||
\(508\) | 58.6269 | − | 80.6930i | 2.60115 | − | 3.58017i | ||||
\(509\) | 0.201119 | − | 3.83758i | 0.00891443 | − | 0.170098i | −0.990544 | − | 0.137195i | \(-0.956191\pi\) |
0.999459 | − | 0.0329030i | \(-0.0104752\pi\) | |||||||
\(510\) | −0.851471 | − | 0.180986i | −0.0377038 | − | 0.00801418i | ||||
\(511\) | −3.86576 | + | 8.68263i | −0.171011 | + | 0.384097i | ||||
\(512\) | 7.93512 | − | 50.1004i | 0.350686 | − | 2.21414i | ||||
\(513\) | −0.105123 | − | 2.00587i | −0.00464131 | − | 0.0885614i | ||||
\(514\) | 26.2718 | + | 17.0611i | 1.15880 | + | 0.752533i | ||||
\(515\) | 9.56529 | − | 1.51499i | 0.421497 | − | 0.0667586i | ||||
\(516\) | −8.26930 | + | 4.77428i | −0.364035 | + | 0.210176i | ||||
\(517\) | −14.5017 | − | 28.1454i | −0.637783 | − | 1.23783i | ||||
\(518\) | 15.0809 | + | 56.2829i | 0.662619 | + | 2.47293i | ||||
\(519\) | 10.9507 | + | 7.95614i | 0.480682 | + | 0.349236i | ||||
\(520\) | −18.0890 | + | 20.7634i | −0.793254 | + | 0.910535i | ||||
\(521\) | −3.27846 | − | 10.0901i | −0.143632 | − | 0.442054i | 0.853201 | − | 0.521583i | \(-0.174658\pi\) |
−0.996833 | + | 0.0795292i | \(0.974658\pi\) | |||||||
\(522\) | 11.2918 | − | 13.9443i | 0.494230 | − | 0.610323i | ||||
\(523\) | 28.6439 | − | 3.01059i | 1.25251 | − | 0.131644i | 0.545054 | − | 0.838401i | \(-0.316509\pi\) |
0.707456 | + | 0.706757i | \(0.249843\pi\) | |||||||
\(524\) | −23.9557 | + | 26.6055i | −1.04651 | + | 1.16227i | ||||
\(525\) | −6.88695 | − | 13.5164i | −0.300571 | − | 0.589904i | ||||
\(526\) | −53.9699 | + | 43.7039i | −2.35320 | + | 1.90558i | ||||
\(527\) | 0.113057 | − | 0.421935i | 0.00492484 | − | 0.0183798i | ||||
\(528\) | −16.4040 | + | 18.3852i | −0.713892 | + | 0.800112i | ||||
\(529\) | −1.26374 | − | 2.18886i | −0.0549452 | − | 0.0951678i | ||||
\(530\) | −35.8666 | + | 15.9688i | −1.55794 | + | 0.693642i | ||||
\(531\) | 11.7111 | + | 0.613755i | 0.508220 | + | 0.0266347i | ||||
\(532\) | 36.4448 | − | 11.8416i | 1.58008 | − | 0.513400i | ||||
\(533\) | 31.5334 | − | 16.7227i | 1.36586 | − | 0.724341i | ||||
\(534\) | 1.30626 | + | 1.79791i | 0.0565274 | + | 0.0778033i | ||||
\(535\) | 0.255250 | − | 0.165761i | 0.0110354 | − | 0.00716648i | ||||
\(536\) | 5.76334 | − | 5.18933i | 0.248938 | − | 0.224145i | ||||
\(537\) | −9.24671 | − | 0.971868i | −0.399025 | − | 0.0419392i | ||||
\(538\) | 34.2293 | − | 34.2293i | 1.47573 | − | 1.47573i | ||||
\(539\) | −35.5128 | + | 3.89517i | −1.52964 | + | 0.167777i | ||||
\(540\) | −5.17505 | − | 1.38665i | −0.222699 | − | 0.0596719i | ||||
\(541\) | −5.06906 | − | 32.0048i | −0.217936 | − | 1.37599i | −0.817621 | − | 0.575757i | \(-0.804707\pi\) |
0.599685 | − | 0.800236i | \(-0.295293\pi\) | |||||||
\(542\) | −23.6403 | + | 5.02489i | −1.01544 | + | 0.215838i | ||||
\(543\) | 0.00850688 | − | 0.0400217i | 0.000365065 | − | 0.00171750i | ||||
\(544\) | 1.35893 | + | 1.10044i | 0.0582634 | + | 0.0471808i | ||||
\(545\) | 12.0928 | − | 8.78593i | 0.517999 | − | 0.376348i | ||||
\(546\) | 22.3053 | − | 31.7817i | 0.954577 | − | 1.36013i | ||||
\(547\) | 1.94984 | + | 0.633540i | 0.0833689 | + | 0.0270882i | 0.350404 | − | 0.936598i | \(-0.386044\pi\) |
−0.267036 | + | 0.963687i | \(0.586044\pi\) | |||||||
\(548\) | 61.0005 | + | 23.4159i | 2.60581 | + | 1.00028i | ||||
\(549\) | −7.85424 | − | 4.53465i | −0.335211 | − | 0.193534i | ||||
\(550\) | 19.0788 | − | 23.7797i | 0.813522 | − | 1.01397i | ||||
\(551\) | −9.97630 | − | 9.97630i | −0.425005 | − | 0.425005i | ||||
\(552\) | −18.3700 | − | 22.6851i | −0.781881 | − | 0.965542i | ||||
\(553\) | 12.6671 | − | 19.5057i | 0.538662 | − | 0.829466i | ||||
\(554\) | −40.4592 | − | 20.6150i | −1.71895 | − | 0.875847i | ||||
\(555\) | −5.85188 | − | 2.60543i | −0.248399 | − | 0.110594i | ||||
\(556\) | −7.61930 | − | 72.4928i | −0.323130 | − | 3.07438i | ||||
\(557\) | 1.27932 | + | 1.96998i | 0.0542066 | + | 0.0834708i | 0.864735 | − | 0.502229i | \(-0.167486\pi\) |
−0.810528 | + | 0.585700i | \(0.800820\pi\) | |||||||
\(558\) | 1.19794 | − | 3.68689i | 0.0507130 | − | 0.156078i | ||||
\(559\) | 6.64969 | + | 3.69543i | 0.281252 | + | 0.156300i | ||||
\(560\) | − | 37.0771i | − | 1.56679i | ||||||
\(561\) | 0.299115 | + | 0.906595i | 0.0126286 | + | 0.0382765i | ||||
\(562\) | 8.06966 | − | 13.9771i | 0.340398 | − | 0.589587i | ||||
\(563\) | 1.84563 | − | 17.5600i | 0.0777839 | − | 0.740065i | −0.884228 | − | 0.467056i | \(-0.845315\pi\) |
0.962012 | − | 0.273009i | \(-0.0880187\pi\) | |||||||
\(564\) | −38.4933 | + | 19.6133i | −1.62086 | + | 0.825869i | ||||
\(565\) | −4.32937 | + | 0.226893i | −0.182138 | + | 0.00954545i | ||||
\(566\) | 23.8231 | − | 9.14482i | 1.00136 | − | 0.384385i | ||||
\(567\) | 4.16375 | + | 0.659473i | 0.174861 | + | 0.0276953i | ||||
\(568\) | 2.99399 | + | 2.69580i | 0.125625 | + | 0.113113i | ||||
\(569\) | 4.79422 | + | 5.32453i | 0.200984 | + | 0.223216i | 0.835208 | − | 0.549934i | \(-0.185347\pi\) |
−0.634224 | + | 0.773149i | \(0.718680\pi\) | |||||||
\(570\) | −2.17690 | + | 5.67103i | −0.0911804 | + | 0.237533i | ||||
\(571\) | −22.0958 | −0.924680 | −0.462340 | − | 0.886703i | \(-0.652990\pi\) | ||||
−0.462340 | + | 0.886703i | \(0.652990\pi\) | |||||||
\(572\) | 53.1580 | + | 10.1431i | 2.22265 | + | 0.424106i | ||||
\(573\) | −0.160783 | −0.00671681 | ||||||||
\(574\) | −38.2045 | + | 99.5261i | −1.59463 | + | 4.15414i | ||||
\(575\) | 10.8946 | + | 12.0997i | 0.454337 | + | 0.504592i | ||||
\(576\) | 0.490589 | + | 0.441728i | 0.0204412 | + | 0.0184053i | ||||
\(577\) | −2.19771 | − | 0.348083i | −0.0914920 | − | 0.0144909i | 0.110521 | − | 0.993874i | \(-0.464748\pi\) |
−0.202013 | + | 0.979383i | \(0.564748\pi\) | |||||||
\(578\) | −40.3446 | + | 15.4868i | −1.67811 | + | 0.644168i | ||||
\(579\) | −10.6717 | + | 0.559278i | −0.443499 | + | 0.0232428i | ||||
\(580\) | −33.5303 | + | 17.0845i | −1.39227 | + | 0.709397i | ||||
\(581\) | −6.66356 | + | 63.3996i | −0.276451 | + | 2.63026i | ||||
\(582\) | 12.6747 | − | 21.9532i | 0.525383 | − | 0.909990i | ||||
\(583\) | 34.9481 | + | 25.1504i | 1.44740 | + | 1.04162i | ||||
\(584\) | 14.5448i | 0.601870i | ||||||||
\(585\) | 1.17210 | + | 4.10443i | 0.0484605 | + | 0.169697i | ||||
\(586\) | −12.6256 | + | 38.8576i | −0.521558 | + | 1.60519i | ||||
\(587\) | −20.6590 | − | 31.8120i | −0.852687 | − | 1.31302i | −0.948226 | − | 0.317596i | \(-0.897124\pi\) |
0.0955395 | − | 0.995426i | \(-0.469542\pi\) | |||||||
\(588\) | 5.09549 | + | 48.4803i | 0.210134 | + | 1.99929i | ||||
\(589\) | −2.78468 | − | 1.23982i | −0.114741 | − | 0.0510860i | ||||
\(590\) | −31.6000 | − | 16.1010i | −1.30095 | − | 0.662868i | ||||
\(591\) | 3.05234 | − | 4.70019i | 0.125556 | − | 0.193340i | ||||
\(592\) | 25.2970 | + | 31.2392i | 1.03970 | + | 1.28392i | ||||
\(593\) | 19.1585 | + | 19.1585i | 0.786746 | + | 0.786746i | 0.980959 | − | 0.194214i | \(-0.0622155\pi\) |
−0.194214 | + | 0.980959i | \(0.562215\pi\) | |||||||
\(594\) | 2.22983 | + | 8.17363i | 0.0914909 | + | 0.335368i | ||||
\(595\) | −1.24410 | − | 0.718280i | −0.0510030 | − | 0.0294466i | ||||
\(596\) | −76.1741 | − | 29.2405i | −3.12021 | − | 1.19774i | ||||
\(597\) | 6.47995 | + | 2.10546i | 0.265207 | + | 0.0861708i | ||||
\(598\) | −14.2958 | + | 39.1451i | −0.584600 | + | 1.60076i | ||||
\(599\) | −5.51803 | + | 4.00909i | −0.225461 | + | 0.163807i | −0.694781 | − | 0.719221i | \(-0.744499\pi\) |
0.469321 | + | 0.883028i | \(0.344499\pi\) | |||||||
\(600\) | −18.0414 | − | 14.6096i | −0.736537 | − | 0.596436i | ||||
\(601\) | −3.94189 | + | 18.5451i | −0.160793 | + | 0.756472i | 0.821662 | + | 0.569975i | \(0.193047\pi\) |
−0.982455 | + | 0.186498i | \(0.940286\pi\) | |||||||
\(602\) | −22.2253 | + | 4.72414i | −0.905836 | + | 0.192541i | ||||
\(603\) | −0.188053 | − | 1.18732i | −0.00765811 | − | 0.0483514i | ||||
\(604\) | −102.274 | − | 27.4042i | −4.16147 | − | 1.11506i | ||||
\(605\) | 12.8802 | + | 1.92064i | 0.523654 | + | 0.0780851i | ||||
\(606\) | 3.01457 | − | 3.01457i | 0.122459 | − | 0.122459i | ||||
\(607\) | −14.9452 | − | 1.57080i | −0.606606 | − | 0.0637569i | −0.203754 | − | 0.979022i | \(-0.565314\pi\) |
−0.402852 | + | 0.915265i | \(0.631981\pi\) | |||||||
\(608\) | 9.06799 | − | 8.16485i | 0.367755 | − | 0.331128i | ||||
\(609\) | 24.8337 | − | 16.1272i | 1.00631 | − | 0.653508i | ||||
\(610\) | 16.1214 | + | 22.1893i | 0.652738 | + | 0.898417i | ||||
\(611\) | 29.1699 | + | 18.2715i | 1.18009 | + | 0.739184i | ||||
\(612\) | 1.23887 | − | 0.402534i | 0.0500784 | − | 0.0162715i | ||||
\(613\) | 17.4358 | + | 0.913772i | 0.704226 | + | 0.0369069i | 0.401088 | − | 0.916040i | \(-0.368632\pi\) |
0.303138 | + | 0.952947i | \(0.401966\pi\) | |||||||
\(614\) | −52.3903 | + | 23.3257i | −2.11430 | + | 0.941348i | ||||
\(615\) | −5.85988 | − | 10.1496i | −0.236293 | − | 0.409272i | ||||
\(616\) | −77.9118 | + | 45.4539i | −3.13916 | + | 1.83139i | ||||
\(617\) | −5.61072 | + | 20.9395i | −0.225879 | + | 0.842992i | 0.756171 | + | 0.654374i | \(0.227068\pi\) |
−0.982050 | + | 0.188618i | \(0.939599\pi\) | |||||||
\(618\) | −16.2399 | + | 13.1508i | −0.653264 | + | 0.529002i | ||||
\(619\) | 18.8615 | + | 37.0178i | 0.758108 | + | 1.48787i | 0.869414 | + | 0.494084i | \(0.164496\pi\) |
−0.111307 | + | 0.993786i | \(0.535504\pi\) | |||||||
\(620\) | −5.44037 | + | 6.04215i | −0.218491 | + | 0.242658i | ||||
\(621\) | −4.49987 | + | 0.472955i | −0.180574 | + | 0.0189790i | ||||
\(622\) | −17.2389 | + | 21.2883i | −0.691217 | + | 0.853582i | ||||
\(623\) | 1.13332 | + | 3.48799i | 0.0454054 | + | 0.139743i | ||||
\(624\) | 5.13956 | − | 26.2883i | 0.205747 | − | 1.05237i | ||||
\(625\) | 4.80642 | + | 3.49207i | 0.192257 | + | 0.139683i | ||||
\(626\) | 5.49707 | + | 20.5153i | 0.219707 | + | 0.819958i | ||||
\(627\) | 6.57505 | − | 1.07192i | 0.262582 | − | 0.0428084i | ||||
\(628\) | −39.0734 | + | 22.5590i | −1.55920 | + | 0.900203i | ||||
\(629\) | 1.53828 | − | 0.243639i | 0.0613352 | − | 0.00971454i | ||||
\(630\) | −10.6922 | − | 6.94360i | −0.425988 | − | 0.276640i | ||||
\(631\) | −2.36138 | − | 45.0577i | −0.0940049 | − | 1.79372i | −0.486210 | − | 0.873842i | \(-0.661621\pi\) |
0.392205 | − | 0.919878i | \(-0.371712\pi\) | |||||||
\(632\) | 5.56788 | − | 35.1542i | 0.221479 | − | 1.39836i | ||||
\(633\) | 9.31734 | − | 20.9271i | 0.370331 | − | 0.831777i | ||||
\(634\) | −13.4223 | − | 2.85299i | −0.533066 | − | 0.113307i | ||||
\(635\) | −1.36558 | + | 26.0568i | −0.0541914 | + | 1.03403i | ||||
\(636\) | 34.5329 | − | 47.5304i | 1.36932 | − | 1.88470i | ||||
\(637\) | 31.0428 | − | 23.3396i | 1.22996 | − | 0.924748i | ||||
\(638\) | 50.0554 | + | 32.1851i | 1.98171 | + | 1.27422i | ||||
\(639\) | 0.603210 | − | 0.161630i | 0.0238626 | − | 0.00639397i | ||||
\(640\) | 5.03839 | + | 11.3164i | 0.199160 | + | 0.447320i | ||||
\(641\) | −2.00137 | − | 9.41569i | −0.0790492 | − | 0.371897i | 0.920786 | − | 0.390069i | \(-0.127549\pi\) |
−0.999835 | + | 0.0181716i | \(0.994215\pi\) | |||||||
\(642\) | −0.298142 | + | 0.585136i | −0.0117667 | + | 0.0230935i | ||||
\(643\) | 7.14462 | + | 18.6124i | 0.281756 | + | 0.734000i | 0.999297 | + | 0.0374837i | \(0.0119342\pi\) |
−0.717541 | + | 0.696516i | \(0.754732\pi\) | |||||||
\(644\) | −30.9347 | − | 80.5876i | −1.21900 | − | 3.17559i | ||||
\(645\) | 1.13403 | − | 2.22565i | 0.0446523 | − | 0.0876350i | ||||
\(646\) | −0.307071 | − | 1.44465i | −0.0120815 | − | 0.0568392i | ||||
\(647\) | −2.38947 | − | 5.36683i | −0.0939397 | − | 0.210992i | 0.860464 | − | 0.509511i | \(-0.170174\pi\) |
−0.954404 | + | 0.298520i | \(0.903507\pi\) | |||||||
\(648\) | 6.23156 | − | 1.66974i | 0.244799 | − | 0.0655936i | ||||
\(649\) | 2.21141 | + | 38.8318i | 0.0868056 | + | 1.52428i | ||||
\(650\) | −4.64827 | + | 32.8156i | −0.182320 | + | 1.28713i | ||||
\(651\) | 3.76037 | − | 5.17571i | 0.147381 | − | 0.202852i | ||||
\(652\) | 3.79532 | − | 72.4190i | 0.148636 | − | 2.83615i | ||||
\(653\) | 5.62651 | + | 1.19595i | 0.220182 | + | 0.0468012i | 0.316682 | − | 0.948532i | \(-0.397431\pi\) |
−0.0964994 | + | 0.995333i | \(0.530765\pi\) | |||||||
\(654\) | −13.1185 | + | 29.4647i | −0.512974 | + | 1.15216i | ||||
\(655\) | 1.46510 | − | 9.25031i | 0.0572464 | − | 0.361439i | ||||
\(656\) | 3.84902 | + | 73.4437i | 0.150279 | + | 2.86749i | ||||
\(657\) | 1.89081 | + | 1.22791i | 0.0737675 | + | 0.0479052i | ||||
\(658\) | −101.538 | + | 16.0821i | −3.95837 | + | 0.626944i | ||||
\(659\) | 1.00536 | − | 0.580446i | 0.0391633 | − | 0.0226110i | −0.480291 | − | 0.877109i | \(-0.659469\pi\) |
0.519454 | + | 0.854499i | \(0.326135\pi\) | |||||||
\(660\) | 2.70023 | − | 17.5628i | 0.105106 | − | 0.683631i | ||||
\(661\) | 1.78867 | + | 6.67541i | 0.0695712 | + | 0.259643i | 0.991948 | − | 0.126649i | \(-0.0404222\pi\) |
−0.922376 | + | 0.386292i | \(0.873756\pi\) | |||||||
\(662\) | 49.0699 | + | 35.6514i | 1.90716 | + | 1.38563i | ||||
\(663\) | −0.782520 | − | 0.681727i | −0.0303905 | − | 0.0264761i | ||||
\(664\) | 30.1469 | + | 92.7825i | 1.16993 | + | 3.60066i | ||||
\(665\) | −6.30870 | + | 7.79060i | −0.244641 | + | 0.302106i | ||||
\(666\) | 13.7462 | − | 1.44478i | 0.532653 | − | 0.0559841i | ||||
\(667\) | −21.2658 | + | 23.6181i | −0.823417 | + | 0.914497i | ||||
\(668\) | −19.4658 | − | 38.2039i | −0.753156 | − | 1.47815i | ||||
\(669\) | −15.8513 | + | 12.8362i | −0.612848 | + | 0.496275i | ||||
\(670\) | −0.940926 | + | 3.51158i | −0.0363511 | + | 0.135664i | ||||
\(671\) | 12.1099 | − | 27.5341i | 0.467497 | − | 1.06294i | ||||
\(672\) | 12.8048 | + | 22.1786i | 0.493957 | + | 0.855558i | ||||
\(673\) | −38.5993 | + | 17.1855i | −1.48789 | + | 0.662453i | −0.980006 | − | 0.198970i | \(-0.936240\pi\) |
−0.507888 | + | 0.861423i | \(0.669574\pi\) | |||||||
\(674\) | 71.9630 | + | 3.77142i | 2.77191 | + | 0.145270i | ||||
\(675\) | −3.42233 | + | 1.11198i | −0.131725 | + | 0.0428002i | ||||
\(676\) | −55.3270 | + | 20.0014i | −2.12796 | + | 0.769285i | ||||
\(677\) | −5.63659 | − | 7.75810i | −0.216632 | − | 0.298168i | 0.686846 | − | 0.726803i | \(-0.258995\pi\) |
−0.903478 | + | 0.428635i | \(0.858995\pi\) | |||||||
\(678\) | 7.84538 | − | 5.09485i | 0.301300 | − | 0.195666i | ||||
\(679\) | 31.0885 | − | 27.9922i | 1.19307 | − | 1.07424i | ||||
\(680\) | −2.18638 | − | 0.229798i | −0.0838439 | − | 0.00881235i | ||||
\(681\) | −13.4459 | + | 13.4459i | −0.515248 | + | 0.515248i | ||||
\(682\) | 12.5883 | + | 2.61622i | 0.482032 | + | 0.100180i | ||||
\(683\) | −19.6342 | − | 5.26097i | −0.751282 | − | 0.201305i | −0.137195 | − | 0.990544i | \(-0.543809\pi\) |
−0.614087 | + | 0.789239i | \(0.710475\pi\) | |||||||
\(684\) | −1.42199 | − | 8.97810i | −0.0543712 | − | 0.343286i | ||||
\(685\) | −16.7196 | + | 3.55385i | −0.638821 | + | 0.135786i | ||||
\(686\) | −8.44482 | + | 39.7297i | −0.322425 | + | 1.51689i | ||||
\(687\) | 6.92484 | + | 5.60762i | 0.264199 | + | 0.213944i | ||||
\(688\) | −12.6814 | + | 9.21354i | −0.483472 | + | 0.351263i | ||||
\(689\) | −46.6254 | − | 4.13022i | −1.77629 | − | 0.157349i | ||||
\(690\) | 13.0138 | + | 4.22843i | 0.495426 | + | 0.160974i | ||||
\(691\) | 13.4974 | + | 5.18117i | 0.513466 | + | 0.197101i | 0.601284 | − | 0.799035i | \(-0.294656\pi\) |
−0.0878180 | + | 0.996137i | \(0.527989\pi\) | |||||||
\(692\) | 53.0494 | + | 30.6281i | 2.01664 | + | 1.16430i | ||||
\(693\) | −0.668529 | + | 13.9657i | −0.0253953 | + | 0.530515i | ||||
\(694\) | −10.4187 | − | 10.4187i | −0.395489 | − | 0.395489i | ||||
\(695\) | 12.0003 | + | 14.8191i | 0.455197 | + | 0.562121i | ||||
\(696\) | 24.6801 | − | 38.0041i | 0.935498 | − | 1.44054i | ||||
\(697\) | 2.53892 | + | 1.29364i | 0.0961685 | + | 0.0490003i | ||||
\(698\) | 55.2779 | + | 24.6113i | 2.09230 | + | 0.931552i | ||||
\(699\) | 0.215654 | + | 2.05181i | 0.00815679 | + | 0.0776067i | ||||
\(700\) | −37.3899 | − | 57.5754i | −1.41321 | − | 2.17615i | ||||
\(701\) | −1.18254 | + | 3.63950i | −0.0446641 | + | 0.137462i | −0.970902 | − | 0.239478i | \(-0.923024\pi\) |
0.926238 | + | 0.376940i | \(0.123024\pi\) | |||||||
\(702\) | −6.61845 | − | 6.40527i | −0.249797 | − | 0.241751i | ||||
\(703\) | − | 10.8682i | − | 0.409904i | ||||||
\(704\) | −1.27891 | + | 1.77713i | −0.0482007 | + | 0.0669782i | ||||
\(705\) | 5.65084 | − | 9.78754i | 0.212823 | − | 0.368620i | ||||
\(706\) | −0.0174229 | + | 0.165768i | −0.000655719 | + | 0.00623875i | ||||
\(707\) | 6.26873 | − | 3.19408i | 0.235760 | − | 0.120126i | ||||
\(708\) | 52.9987 | − | 2.77754i | 1.99181 | − | 0.104386i | ||||
\(709\) | 3.95013 | − | 1.51631i | 0.148350 | − | 0.0569464i | −0.283060 | − | 0.959102i | \(-0.591350\pi\) |
0.431410 | + | 0.902156i | \(0.358016\pi\) | |||||||
\(710\) | −1.86533 | − | 0.295439i | −0.0700046 | − | 0.0110876i | ||||
\(711\) | −4.09995 | − | 3.69161i | −0.153760 | − | 0.138446i | ||||
\(712\) | 3.75550 | + | 4.17091i | 0.140743 | + | 0.156311i | ||||
\(713\) | −2.46072 | + | 6.41039i | −0.0921547 | + | 0.240071i | ||||
\(714\) | 3.09974 | 0.116005 | ||||||||
\(715\) | −13.1079 | + | 5.34846i | −0.490206 | + | 0.200021i | ||||
\(716\) | −42.0764 | −1.57247 | ||||||||
\(717\) | −5.50075 | + | 14.3299i | −0.205429 | + | 0.535161i | ||||
\(718\) | −41.1950 | − | 45.7516i | −1.53738 | − | 1.70744i | ||||
\(719\) | 4.81049 | + | 4.33138i | 0.179401 | + | 0.161533i | 0.753939 | − | 0.656945i | \(-0.228152\pi\) |
−0.574538 | + | 0.818478i | \(0.694818\pi\) | |||||||
\(720\) | −8.68681 | − | 1.37586i | −0.323738 | − | 0.0512751i | ||||
\(721\) | −32.1951 | + | 12.3585i | −1.19901 | + | 0.460256i | ||||
\(722\) | 38.1769 | − | 2.00076i | 1.42080 | − | 0.0744607i | ||||
\(723\) | 20.8051 | − | 10.6007i | 0.773749 | − | 0.394245i | ||||
\(724\) | 0.0193549 | − | 0.184150i | 0.000719321 | − | 0.00684388i | ||||
\(725\) | −12.6378 | + | 21.8893i | −0.469356 | + | 0.812948i | ||||
\(726\) | −26.1409 | + | 10.3071i | −0.970181 | + | 0.382532i | ||||
\(727\) | − | 32.0079i | − | 1.18711i | −0.804795 | − | 0.593553i | \(-0.797725\pi\) | ||
0.804795 | − | 0.593553i | \(-0.202275\pi\) | |||||||
\(728\) | 47.6332 | − | 85.7130i | 1.76541 | − | 3.17673i | ||||
\(729\) | 0.309017 | − | 0.951057i | 0.0114451 | − | 0.0352243i | ||||
\(730\) | −3.71344 | − | 5.71820i | −0.137441 | − | 0.211640i | ||||
\(731\) | 0.0634835 | + | 0.604005i | 0.00234802 | + | 0.0223399i | ||||
\(732\) | −37.4947 | − | 16.6937i | −1.38584 | − | 0.617017i | ||||
\(733\) | −11.7091 | − | 5.96607i | −0.432485 | − | 0.220362i | 0.224175 | − | 0.974549i | \(-0.428031\pi\) |
−0.656660 | + | 0.754187i | \(0.728031\pi\) | |||||||
\(734\) | −17.4801 | + | 26.9170i | −0.645202 | + | 0.993524i | ||||
\(735\) | −8.02531 | − | 9.91043i | −0.296018 | − | 0.365552i | ||||
\(736\) | −19.4361 | − | 19.4361i | −0.716425 | − | 0.716425i | ||||
\(737\) | 3.84642 | − | 1.04933i | 0.141685 | − | 0.0386526i | ||||
\(738\) | 21.9004 | + | 12.6442i | 0.806163 | + | 0.465439i | ||||
\(739\) | 42.2799 | + | 16.2298i | 1.55529 | + | 0.597021i | 0.975937 | − | 0.218054i | \(-0.0699707\pi\) |
0.579356 | + | 0.815075i | \(0.303304\pi\) | |||||||
\(740\) | −27.5701 | − | 8.95806i | −1.01350 | − | 0.329305i | ||||
\(741\) | −5.55290 | + | 4.64917i | −0.203991 | + | 0.170791i | ||||
\(742\) | 113.104 | − | 82.1748i | 4.15217 | − | 3.01673i | ||||
\(743\) | −4.13842 | − | 3.35123i | −0.151824 | − | 0.122945i | 0.550399 | − | 0.834902i | \(-0.314476\pi\) |
−0.702223 | + | 0.711957i | \(0.747809\pi\) | |||||||
\(744\) | 2.03554 | − | 9.57644i | 0.0746264 | − | 0.351089i | ||||
\(745\) | 20.8785 | − | 4.43786i | 0.764929 | − | 0.162591i | ||||
\(746\) | 1.11394 | + | 7.03311i | 0.0407841 | + | 0.257500i | ||||
\(747\) | 14.6067 | + | 3.91384i | 0.534430 | + | 0.143200i | ||||
\(748\) | 1.77508 | + | 3.93882i | 0.0649035 | + | 0.144017i | ||||
\(749\) | −0.766336 | + | 0.766336i | −0.0280013 | + | 0.0280013i | ||||
\(750\) | 25.8610 | + | 2.71810i | 0.944311 | + | 0.0992511i | ||||
\(751\) | −21.2824 | + | 19.1627i | −0.776605 | + | 0.699258i | −0.958824 | − | 0.284000i | \(-0.908338\pi\) |
0.182220 | + | 0.983258i | \(0.441672\pi\) | |||||||
\(752\) | −59.4792 | + | 38.6263i | −2.16898 | + | 1.40856i | ||||
\(753\) | −0.0197758 | − | 0.0272190i | −0.000720669 | − | 0.000991916i | ||||
\(754\) | −64.6521 | − | 2.32800i | −2.35449 | − | 0.0847809i | ||||
\(755\) | 26.3431 | − | 8.55938i | 0.958723 | − | 0.311508i | ||||
\(756\) | 19.0518 | + | 0.998460i | 0.692906 | + | 0.0363136i | ||||
\(757\) | 32.4886 | − | 14.4648i | 1.18082 | − | 0.525733i | 0.280028 | − | 0.959992i | \(-0.409656\pi\) |
0.900788 | + | 0.434258i | \(0.142990\pi\) | |||||||
\(758\) | −7.43287 | − | 12.8741i | −0.269974 | − | 0.467609i | ||||
\(759\) | −3.18647 | − | 14.6644i | −0.115661 | − | 0.532283i | ||||
\(760\) | −3.97056 | + | 14.8183i | −0.144028 | + | 0.537518i | ||||
\(761\) | 7.43795 | − | 6.02313i | 0.269625 | − | 0.218338i | −0.484966 | − | 0.874533i | \(-0.661168\pi\) |
0.754592 | + | 0.656194i | \(0.227835\pi\) | |||||||
\(762\) | −25.5603 | − | 50.1649i | −0.925951 | − | 1.81728i | ||||
\(763\) | −35.6156 | + | 39.5551i | −1.28937 | + | 1.43199i | ||||
\(764\) | −0.723636 | + | 0.0760573i | −0.0261802 | + | 0.00275166i | ||||
\(765\) | −0.214452 | + | 0.264827i | −0.00775354 | + | 0.00957482i | ||||
\(766\) | −6.62558 | − | 20.3914i | −0.239392 | − | 0.736772i | ||||
\(767\) | −23.6063 | − | 35.0799i | −0.852374 | − | 1.26666i | ||||
\(768\) | −22.6923 | − | 16.4869i | −0.818836 | − | 0.594919i | ||||
\(769\) | −9.57921 | − | 35.7501i | −0.345435 | − | 1.28918i | −0.892103 | − | 0.451832i | \(-0.850771\pi\) |
0.546668 | − | 0.837350i | \(-0.315896\pi\) | |||||||
\(770\) | 19.0256 | − | 37.7615i | 0.685636 | − | 1.36083i | ||||
\(771\) | 10.6199 | − | 6.13143i | 0.382468 | − | 0.220818i | ||||
\(772\) | −47.7654 | + | 7.56529i | −1.71911 | + | 0.272281i | ||||
\(773\) | −2.45729 | − | 1.59578i | −0.0883825 | − | 0.0573963i | 0.499691 | − | 0.866204i | \(-0.333447\pi\) |
−0.588074 | + | 0.808807i | \(0.700113\pi\) | |||||||
\(774\) | 0.282084 | + | 5.38249i | 0.0101393 | + | 0.193470i | ||||
\(775\) | −0.854269 | + | 5.39364i | −0.0306863 | + | 0.193745i | ||||
\(776\) | 26.0391 | − | 58.4849i | 0.934751 | − | 2.09949i | ||||
\(777\) | 22.3116 | + | 4.74247i | 0.800423 | + | 0.170135i | ||||
\(778\) | −1.12142 | + | 21.3979i | −0.0402047 | + | 0.767151i | ||||
\(779\) | 11.6878 | − | 16.0868i | 0.418758 | − | 0.576370i | ||||
\(780\) | 7.21686 | + | 17.9184i | 0.258405 | + | 0.641580i | ||||
\(781\) | 0.750996 | + | 1.93025i | 0.0268728 | + | 0.0690697i | ||||
\(782\) | −3.21359 | + | 0.861079i | −0.114918 | + | 0.0307921i | ||||
\(783\) | −2.85693 | − | 6.41677i | −0.102098 | − | 0.229316i | ||||
\(784\) | 16.6380 | + | 78.2754i | 0.594213 | + | 2.79555i | ||||
\(785\) | 5.35841 | − | 10.5165i | 0.191250 | − | 0.375349i | ||||
\(786\) | 7.24215 | + | 18.8664i | 0.258319 | + | 0.672944i | ||||
\(787\) | −1.54291 | − | 4.01942i | −0.0549989 | − | 0.143277i | 0.903328 | − | 0.428950i | \(-0.141116\pi\) |
−0.958327 | + | 0.285673i | \(0.907783\pi\) | |||||||
\(788\) | 11.5143 | − | 22.5980i | 0.410179 | − | 0.805022i | ||||
\(789\) | 5.65225 | + | 26.5917i | 0.201225 | + | 0.946690i | ||||
\(790\) | 6.78625 | + | 15.2422i | 0.241444 | + | 0.542292i | ||||
\(791\) | 14.9116 | − | 3.99555i | 0.530196 | − | 0.142065i | ||||
\(792\) | 7.75828 | + | 19.9407i | 0.275679 | + | 0.708563i | ||||
\(793\) | 3.94986 | + | 32.4604i | 0.140264 | + | 1.15270i | ||||
\(794\) | −23.2473 | + | 31.9971i | −0.825015 | + | 1.13554i | ||||
\(795\) | −0.804365 | + | 15.3482i | −0.0285279 | + | 0.544345i | ||||
\(796\) | 30.1603 | + | 6.41077i | 1.06900 | + | 0.227224i | ||||
\(797\) | −3.55521 | + | 7.98513i | −0.125932 | + | 0.282848i | −0.965498 | − | 0.260409i | \(-0.916142\pi\) |
0.839566 | + | 0.543257i | \(0.182809\pi\) | |||||||
\(798\) | 3.38378 | − | 21.3644i | 0.119785 | − | 0.756290i | ||||
\(799\) | 0.143811 | + | 2.74408i | 0.00508767 | + | 0.0970786i | ||||
\(800\) | −18.3335 | − | 11.9059i | −0.648187 | − | 0.420938i | ||||
\(801\) | 0.859259 | − | 0.136093i | 0.0303604 | − | 0.00480862i | ||||
\(802\) | −28.8979 | + | 16.6842i | −1.02042 | + | 0.589139i | ||||
\(803\) | −3.36449 | + | 6.67775i | −0.118730 | + | 0.235653i | ||||
\(804\) | −1.40802 | − | 5.25481i | −0.0496572 | − | 0.185323i | ||||
\(805\) | 18.2689 | + | 13.2731i | 0.643895 | + | 0.467817i | ||||
\(806\) | −13.2208 | + | 4.53623i | −0.465683 | + | 0.159782i | ||||
\(807\) | −5.85584 | − | 18.0224i | −0.206135 | − | 0.634419i | ||||
\(808\) | 6.77576 | − | 8.36737i | 0.238370 | − | 0.294363i | ||||
\(809\) | 37.7378 | − | 3.96641i | 1.32679 | − | 0.139451i | 0.585521 | − | 0.810658i | \(-0.300890\pi\) |
0.741271 | + | 0.671206i | \(0.234223\pi\) | |||||||
\(810\) | −2.02359 | + | 2.24742i | −0.0711017 | + | 0.0789664i | ||||
\(811\) | 19.4662 | + | 38.2045i | 0.683550 | + | 1.34154i | 0.928255 | + | 0.371945i | \(0.121309\pi\) |
−0.244705 | + | 0.969598i | \(0.578691\pi\) | |||||||
\(812\) | 104.140 | − | 84.3312i | 3.65461 | − | 2.95945i | ||||
\(813\) | −2.44871 | + | 9.13871i | −0.0858800 | + | 0.320509i | ||||
\(814\) | 9.73400 | + | 44.7967i | 0.341176 | + | 1.57012i | ||||
\(815\) | 9.48542 | + | 16.4292i | 0.332260 | + | 0.575491i | ||||
\(816\) | 1.95353 | − | 0.869768i | 0.0683873 | − | 0.0304480i | ||||
\(817\) | 4.23229 | + | 0.221805i | 0.148069 | + | 0.00775997i | ||||
\(818\) | 44.4853 | − | 14.4542i | 1.55539 | − | 0.505378i | ||||
\(819\) | −7.12127 | − | 13.4283i | −0.248837 | − | 0.469224i | ||||
\(820\) | −31.1748 | − | 42.9084i | −1.08867 | − | 1.49843i | ||||
\(821\) | −9.57703 | + | 6.21940i | −0.334241 | + | 0.217059i | −0.700837 | − | 0.713322i | \(-0.747190\pi\) |
0.366596 | + | 0.930380i | \(0.380523\pi\) | |||||||
\(822\) | 27.4092 | − | 24.6793i | 0.956004 | − | 0.860790i | ||||
\(823\) | 18.6498 | + | 1.96018i | 0.650092 | + | 0.0683274i | 0.423834 | − | 0.905740i | \(-0.360684\pi\) |
0.226258 | + | 0.974067i | \(0.427351\pi\) | |||||||
\(824\) | −37.3174 | + | 37.3174i | −1.30001 | + | 1.30001i | ||||
\(825\) | −4.90359 | − | 10.8808i | −0.170721 | − | 0.378821i | ||||
\(826\) | 121.986 | + | 32.6860i | 4.24443 | + | 1.13729i | ||||
\(827\) | 2.85880 | + | 18.0498i | 0.0994103 | + | 0.627652i | 0.986210 | + | 0.165498i | \(0.0529232\pi\) |
−0.886800 | + | 0.462154i | \(0.847077\pi\) | |||||||
\(828\) | −20.0288 | + | 4.25726i | −0.696050 | + | 0.147950i | ||||
\(829\) | 3.22313 | − | 15.1636i | 0.111944 | − | 0.526655i | −0.886064 | − | 0.463563i | \(-0.846571\pi\) |
0.998008 | − | 0.0630916i | \(-0.0200960\pi\) | |||||||
\(830\) | −35.5403 | − | 28.7800i | −1.23362 | − | 0.998967i | ||||
\(831\) | −14.3810 | + | 10.4484i | −0.498870 | + | 0.362450i | ||||
\(832\) | 0.210024 | − | 2.37093i | 0.00728128 | − | 0.0821971i | ||||
\(833\) | 2.94880 | + | 0.958124i | 0.102170 | + | 0.0331970i | ||||
\(834\) | −38.4126 | − | 14.7452i | −1.33012 | − | 0.510584i | ||||
\(835\) | 9.71395 | + | 5.60835i | 0.336165 | + | 0.194085i | ||||
\(836\) | 29.0853 | − | 7.93467i | 1.00593 | − | 0.274426i | ||||
\(837\) | −1.07308 | − | 1.07308i | −0.0370911 | − | 0.0370911i | ||||
\(838\) | −17.3726 | − | 21.4534i | −0.600128 | − | 0.741097i | ||||
\(839\) | 6.50466 | − | 10.0163i | 0.224566 | − | 0.345801i | −0.708371 | − | 0.705840i | \(-0.750570\pi\) |
0.932937 | + | 0.360039i | \(0.117236\pi\) | |||||||
\(840\) | −28.6882 | − | 14.6174i | −0.989836 | − | 0.504347i | ||||
\(841\) | −18.5787 | − | 8.27177i | −0.640645 | − | 0.285233i | ||||
\(842\) | −3.38023 | − | 32.1608i | −0.116491 | − | 1.10833i | ||||
\(843\) | −3.44102 | − | 5.29871i | −0.118515 | − | 0.182497i | ||||
\(844\) | 32.0351 | − | 98.5940i | 1.10270 | − | 3.39375i | ||||
\(845\) | 9.28881 | − | 12.2711i | 0.319545 | − | 0.422139i | ||||
\(846\) | 24.3862i | 0.838416i | ||||||||
\(847\) | −46.2848 | + | 2.84612i | −1.59036 | + | 0.0977939i | ||||
\(848\) | 48.2230 | − | 83.5247i | 1.65599 | − | 2.86825i | ||||
\(849\) | 1.04418 | − | 9.93467i | 0.0358360 | − | 0.340957i | ||||
\(850\) | −2.35753 | + | 1.20122i | −0.0808626 | + | 0.0412015i | ||||
\(851\) | −24.4484 | + | 1.28129i | −0.838081 | + | 0.0439220i | ||||
\(852\) | 2.63841 | − | 1.01279i | 0.0903904 | − | 0.0346976i | ||||
\(853\) | 51.9718 | + | 8.23153i | 1.77948 | + | 0.281842i | 0.957660 | − | 0.287903i | \(-0.0929581\pi\) |
0.821821 | + | 0.569745i | \(0.192958\pi\) | |||||||
\(854\) | −72.5803 | − | 65.3516i | −2.48365 | − | 2.23628i | ||||
\(855\) | 1.59116 | + | 1.76716i | 0.0544166 | + | 0.0604357i | ||||
\(856\) | −0.594362 | + | 1.54837i | −0.0203149 | + | 0.0529221i | ||||
\(857\) | 16.1693 | 0.552333 | 0.276166 | − | 0.961110i | \(-0.410936\pi\) | ||||
0.276166 | + | 0.961110i | \(0.410936\pi\) | |||||||
\(858\) | 18.7239 | − | 24.1363i | 0.639224 | − | 0.823999i | ||||
\(859\) | −1.74052 | −0.0593859 | −0.0296929 | − | 0.999559i | \(-0.509453\pi\) | ||||
−0.0296929 | + | 0.999559i | \(0.509453\pi\) | |||||||
\(860\) | 4.05109 | − | 10.5534i | 0.138141 | − | 0.359870i | ||||
\(861\) | 27.9248 | + | 31.0136i | 0.951674 | + | 1.05694i | ||||
\(862\) | 33.8530 | + | 30.4814i | 1.15304 | + | 1.03820i | ||||
\(863\) | 41.1209 | + | 6.51290i | 1.39977 | + | 0.221702i | 0.810266 | − | 0.586063i | \(-0.199323\pi\) |
0.589505 | + | 0.807765i | \(0.299323\pi\) | |||||||
\(864\) | 5.67140 | − | 2.17705i | 0.192945 | − | 0.0740646i | ||||
\(865\) | −16.0027 | + | 0.838666i | −0.544108 | + | 0.0285155i | ||||
\(866\) | −60.3560 | + | 30.7529i | −2.05098 | + | 1.04503i | ||||
\(867\) | −1.76832 | + | 16.8245i | −0.0600554 | + | 0.571389i | ||||
\(868\) | 14.4760 | − | 25.0731i | 0.491347 | − | 0.851037i | ||||
\(869\) | 10.6881 | − | 14.8519i | 0.362569 | − | 0.503815i | ||||
\(870\) | 21.2421i | 0.720174i | ||||||||
\(871\) | −3.01425 | + | 3.11457i | −0.102134 | + | 0.105533i | ||||
\(872\) | −25.1709 | + | 77.4682i | −0.852396 | + | 2.62340i | ||||
\(873\) | −5.40468 | − | 8.32247i | −0.182921 | − | 0.281673i | ||||
\(874\) | 2.42675 | + | 23.0890i | 0.0820861 | + | 0.780997i | ||||
\(875\) | 39.2030 | + | 17.4543i | 1.32530 | + | 0.590064i | ||||
\(876\) | 9.09082 | + | 4.63201i | 0.307150 | + | 0.156501i | ||||
\(877\) | 17.2535 | − | 26.5681i | 0.582610 | − | 0.897140i | −0.417323 | − | 0.908758i | \(-0.637032\pi\) |
0.999933 | + | 0.0116182i | \(0.00369826\pi\) | |||||||
\(878\) | −24.7452 | − | 30.5578i | −0.835111 | − | 1.03128i | ||||
\(879\) | 11.3096 | + | 11.3096i | 0.381464 | + | 0.381464i | ||||
\(880\) | 1.39475 | − | 29.1367i | 0.0470170 | − | 0.982197i | ||||
\(881\) | −20.6056 | − | 11.8966i | −0.694220 | − | 0.400808i | 0.110971 | − | 0.993824i | \(-0.464604\pi\) |
−0.805191 | + | 0.593015i | \(0.797937\pi\) | |||||||
\(882\) | 25.6888 | + | 9.86100i | 0.864986 | + | 0.332037i | ||||
\(883\) | 28.2544 | + | 9.18040i | 0.950835 | + | 0.308945i | 0.743055 | − | 0.669230i | \(-0.233376\pi\) |
0.207780 | + | 0.978175i | \(0.433376\pi\) | |||||||
\(884\) | −3.84437 | − | 2.69809i | −0.129300 | − | 0.0907465i | ||||
\(885\) | −11.2320 | + | 8.16052i | −0.377559 | + | 0.274313i | ||||
\(886\) | 62.8659 | + | 50.9078i | 2.11202 | + | 1.71028i | ||||
\(887\) | −9.74135 | + | 45.8295i | −0.327083 | + | 1.53880i | 0.440441 | + | 0.897782i | \(0.354822\pi\) |
−0.767523 | + | 0.641021i | \(0.778511\pi\) | |||||||
\(888\) | 34.1443 | − | 7.25759i | 1.14581 | − | 0.243549i | ||||
\(889\) | −14.5348 | − | 91.7692i | −0.487482 | − | 3.07784i | ||||
\(890\) | −2.54132 | − | 0.680945i | −0.0851853 | − | 0.0228253i | ||||
\(891\) | 3.24724 | + | 0.674871i | 0.108787 | + | 0.0226090i | ||||
\(892\) | −65.2701 | + | 65.2701i | −2.18540 | + | 2.18540i | ||||
\(893\) | 19.0700 | + | 2.00434i | 0.638154 | + | 0.0670727i | ||||
\(894\) | −34.2271 | + | 30.8182i | −1.14473 | + | 1.03072i | ||||
\(895\) | 9.23143 | − | 5.99496i | 0.308573 | − | 0.200389i | ||||
\(896\) | −25.9273 | − | 35.6859i | −0.866170 | − | 1.19218i | ||||
\(897\) | 11.1131 | + | 11.9433i | 0.371055 | + | 0.398775i | ||||
\(898\) | 100.056 | − | 32.5103i | 3.33892 | − | 1.08488i | ||||
\(899\) | −10.6448 | − | 0.557870i | −0.355024 | − | 0.0186060i | ||||
\(900\) | −14.8769 | + | 6.62360i | −0.495895 | + | 0.220787i | ||||
\(901\) | −1.86841 | − | 3.23618i | −0.0622458 | − | 0.107813i | ||||
\(902\) | −33.7666 | + | 76.7745i | −1.12430 | + | 2.55631i | ||||
\(903\) | −2.30215 | + | 8.59173i | −0.0766107 | + | 0.285915i | ||||
\(904\) | 18.3599 | − | 14.8676i | 0.610642 | − | 0.494488i | ||||
\(905\) | 0.0219909 | + | 0.0431596i | 0.000731002 | + | 0.00143467i | ||||
\(906\) | −39.9920 | + | 44.4156i | −1.32864 | + | 1.47561i | ||||
\(907\) | 33.8358 | − | 3.55628i | 1.12350 | − | 0.118084i | 0.475493 | − | 0.879720i | \(-0.342270\pi\) |
0.648006 | + | 0.761635i | \(0.275603\pi\) | |||||||
\(908\) | −54.1555 | + | 66.8765i | −1.79721 | + | 2.21937i | ||||
\(909\) | −0.515722 | − | 1.58723i | −0.0171054 | − | 0.0526451i | ||||
\(910\) | 3.15671 | + | 45.8587i | 0.104644 | + | 1.52020i | ||||
\(911\) | −22.8035 | − | 16.5677i | −0.755514 | − | 0.548913i | 0.142017 | − | 0.989864i | \(-0.454641\pi\) |
−0.897531 | + | 0.440951i | \(0.854641\pi\) | |||||||
\(912\) | −3.86216 | − | 14.4138i | −0.127889 | − | 0.477288i | ||||
\(913\) | −7.62144 | + | 49.5713i | −0.252233 | + | 1.64057i | ||||
\(914\) | −12.8499 | + | 7.41892i | −0.425038 | + | 0.245396i | ||||
\(915\) | 10.6047 | − | 1.67962i | 0.350581 | − | 0.0555265i | ||||
\(916\) | 33.8193 | + | 21.9625i | 1.11742 | + | 0.725661i | ||||
\(917\) | 1.74541 | + | 33.3043i | 0.0576384 | + | 1.09981i | ||||
\(918\) | 0.115025 | − | 0.726241i | 0.00379640 | − | 0.0239695i | ||||
\(919\) | 5.44355 | − | 12.2264i | 0.179566 | − | 0.403312i | −0.801228 | − | 0.598359i | \(-0.795819\pi\) |
0.980794 | + | 0.195048i | \(0.0624861\pi\) | |||||||
\(920\) | 33.8024 | + | 7.18492i | 1.11443 | + | 0.236880i | ||||
\(921\) | −1.17494 | + | 22.4191i | −0.0387155 | + | 0.738736i | ||||
\(922\) | 36.3263 | − | 49.9988i | 1.19634 | − | 1.64662i | ||||
\(923\) | −1.77280 | − | 1.38817i | −0.0583524 | − | 0.0456920i | ||||
\(924\) | 3.59754 | + | 63.1719i | 0.118351 | + | 2.07820i | ||||
\(925\) | −18.8070 | + | 5.03932i | −0.618371 | + | 0.165692i | ||||
\(926\) | −22.6690 | − | 50.9153i | −0.744948 | − | 1.67318i | ||||
\(927\) | 1.70080 | + | 8.00162i | 0.0558615 | + | 0.262808i | ||||
\(928\) | 19.3719 | − | 38.0194i | 0.635913 | − | 1.24805i | ||||
\(929\) | 1.30974 | + | 3.41200i | 0.0429713 | + | 0.111944i | 0.953387 | − | 0.301751i | \(-0.0975712\pi\) |
−0.910415 | + | 0.413695i | \(0.864238\pi\) | |||||||
\(930\) | 1.64470 | + | 4.28460i | 0.0539320 | + | 0.140498i | ||||
\(931\) | 9.82270 | − | 19.2781i | 0.321926 | − | 0.631815i | ||||
\(932\) | 1.94119 | + | 9.13258i | 0.0635858 | + | 0.299148i | ||||
\(933\) | 4.36159 | + | 9.79628i | 0.142792 | + | 0.320716i | ||||
\(934\) | −94.4104 | + | 25.2972i | −3.08920 | + | 0.827750i | ||||
\(935\) | −0.950642 | − | 0.611254i | −0.0310893 | − | 0.0199901i | ||||
\(936\) | −18.3142 | − | 14.3407i | −0.598618 | − | 0.468739i | ||||
\(937\) | 11.2223 | − | 15.4462i | 0.366617 | − | 0.504605i | −0.585361 | − | 0.810773i | \(-0.699047\pi\) |
0.951977 | + | 0.306168i | \(0.0990471\pi\) | |||||||
\(938\) | 0.677516 | − | 12.9278i | 0.0221217 | − | 0.422107i | ||||
\(939\) | 8.13267 | + | 1.72865i | 0.265399 | + | 0.0564124i | ||||
\(940\) | 20.8028 | − | 46.7239i | 0.678513 | − | 1.52396i | ||||
\(941\) | −2.27801 | + | 14.3828i | −0.0742611 | + | 0.468866i | 0.922333 | + | 0.386397i | \(0.126281\pi\) |
−0.996594 | + | 0.0824691i | \(0.973719\pi\) | |||||||
\(942\) | 1.33288 | + | 25.4329i | 0.0434276 | + | 0.828648i | ||||
\(943\) | −37.5657 | − | 24.3954i | −1.22331 | − | 0.794424i | ||||
\(944\) | 86.0499 | − | 13.6290i | 2.80069 | − | 0.443585i | ||||
\(945\) | −4.32215 | + | 2.49540i | −0.140600 | + | 0.0811752i | ||||
\(946\) | −17.6433 | + | 2.87636i | −0.573632 | + | 0.0935184i | ||||
\(947\) | 6.38176 | + | 23.8171i | 0.207379 | + | 0.773951i | 0.988711 | + | 0.149835i | \(0.0478741\pi\) |
−0.781332 | + | 0.624116i | \(0.785459\pi\) | |||||||
\(948\) | −20.1989 | − | 14.6754i | −0.656031 | − | 0.476634i | ||||
\(949\) | −0.558232 | − | 8.10964i | −0.0181210 | − | 0.263250i | ||||
\(950\) | 5.70562 | + | 17.5601i | 0.185115 | + | 0.569725i | ||||
\(951\) | −3.38054 | + | 4.17462i | −0.109622 | + | 0.135371i | ||||
\(952\) | 7.78549 | − | 0.818288i | 0.252329 | − | 0.0265209i | ||||
\(953\) | 9.89919 | − | 10.9942i | 0.320666 | − | 0.356136i | −0.561163 | − | 0.827706i | \(-0.689646\pi\) |
0.881829 | + | 0.471570i | \(0.156312\pi\) | |||||||
\(954\) | −15.0557 | − | 29.5485i | −0.487447 | − | 0.956669i | ||||
\(955\) | 0.147927 | − | 0.119789i | 0.00478681 | − | 0.00387628i | ||||
\(956\) | −17.9785 | + | 67.0968i | −0.581468 | + | 2.17007i | ||||
\(957\) | 20.1220 | − | 11.7392i | 0.650453 | − | 0.379476i | ||||
\(958\) | −35.1256 | − | 60.8393i | −1.13486 | − | 1.96563i | ||||
\(959\) | 55.6046 | − | 24.7568i | 1.79557 | − | 0.799437i | ||||
\(960\) | −0.780464 | − | 0.0409024i | −0.0251894 | − | 0.00132012i | ||||
\(961\) | 27.2925 | − | 8.86786i | 0.880402 | − | 0.286060i | ||||
\(962\) | −33.9482 | − | 36.4843i | −1.09453 | − | 1.17630i | ||||
\(963\) | 0.151108 | + | 0.207983i | 0.00486940 | + | 0.00670215i | ||||
\(964\) | 88.6228 | − | 57.5523i | 2.85435 | − | 1.85364i | ||||
\(965\) | 9.40168 | − | 8.46531i | 0.302651 | − | 0.272508i | ||||
\(966\) | −48.4587 | − | 5.09321i | −1.55913 | − | 0.163871i | ||||
\(967\) | 34.9201 | − | 34.9201i | 1.12296 | − | 1.12296i | 0.131661 | − | 0.991295i | \(-0.457969\pi\) |
0.991295 | − | 0.131661i | \(-0.0420311\pi\) | |||||||
\(968\) | −62.9361 | + | 32.7887i | −2.02284 | + | 1.05387i | ||||
\(969\) | −0.558466 | − | 0.149640i | −0.0179405 | − | 0.00480715i | ||||
\(970\) | 4.69466 | + | 29.6409i | 0.150737 | + | 0.951713i | ||||
\(971\) | 47.6216 | − | 10.1223i | 1.52825 | − | 0.324840i | 0.634329 | − | 0.773063i | \(-0.281276\pi\) |
0.893922 | + | 0.448223i | \(0.147943\pi\) | |||||||
\(972\) | 0.940903 | − | 4.42660i | 0.0301795 | − | 0.141983i | ||||
\(973\) | −52.7694 | − | 42.7318i | −1.69171 | − | 1.36992i | ||||
\(974\) | −84.4753 | + | 61.3749i | −2.70676 | + | 1.96658i | ||||
\(975\) | 10.6199 | + | 7.45334i | 0.340109 | + | 0.238698i | ||||
\(976\) | −64.0790 | − | 20.8205i | −2.05112 | − | 0.666449i | ||||
\(977\) | 23.9719 | + | 9.20194i | 0.766928 | + | 0.294396i | 0.710206 | − | 0.703994i | \(-0.248602\pi\) |
0.0567223 | + | 0.998390i | \(0.481935\pi\) | |||||||
\(978\) | −35.4503 | − | 20.4672i | −1.13357 | − | 0.654469i | ||||
\(979\) | 0.759397 | + | 2.78364i | 0.0242704 | + | 0.0889655i | ||||
\(980\) | −40.8076 | − | 40.8076i | −1.30355 | − | 1.30355i | ||||
\(981\) | 7.94578 | + | 9.81222i | 0.253689 | + | 0.313280i | ||||
\(982\) | −15.5471 | + | 23.9405i | −0.496129 | + | 0.763971i | ||||
\(983\) | −11.9546 | − | 6.09117i | −0.381292 | − | 0.194278i | 0.252830 | − | 0.967511i | \(-0.418639\pi\) |
−0.634123 | + | 0.773233i | \(0.718639\pi\) | |||||||
\(984\) | 58.3441 | + | 25.9765i | 1.85994 | + | 0.828099i | ||||
\(985\) | 0.693527 | + | 6.59847i | 0.0220976 | + | 0.210245i | ||||
\(986\) | −2.81291 | − | 4.33150i | −0.0895813 | − | 0.137943i | ||||
\(987\) | −12.4361 | + | 38.2745i | −0.395846 | + | 1.21829i | ||||
\(988\) | −22.7927 | + | 23.5513i | −0.725132 | + | 0.749266i | ||||
\(989\) | − | 9.54680i | − | 0.303571i | ||||||
\(990\) | −8.14117 | − | 5.85878i | −0.258743 | − | 0.186204i | ||||
\(991\) | −3.57172 | + | 6.18640i | −0.113459 | + | 0.196517i | −0.917163 | − | 0.398513i | \(-0.869527\pi\) |
0.803703 | + | 0.595030i | \(0.202860\pi\) | |||||||
\(992\) | 0.963652 | − | 9.16854i | 0.0305960 | − | 0.291101i | ||||
\(993\) | 21.1559 | − | 10.7795i | 0.671363 | − | 0.342076i | ||||
\(994\) | 6.71584 | − | 0.351962i | 0.213014 | − | 0.0111636i | ||||
\(995\) | −7.53046 | + | 2.89067i | −0.238732 | + | 0.0916405i | ||||
\(996\) | 67.5916 | + | 10.7055i | 2.14172 | + | 0.339215i | ||||
\(997\) | 17.9198 | + | 16.1351i | 0.567525 | + | 0.511002i | 0.902192 | − | 0.431334i | \(-0.141957\pi\) |
−0.334667 | + | 0.942337i | \(0.608624\pi\) | |||||||
\(998\) | 16.3924 | + | 18.2056i | 0.518894 | + | 0.576290i | ||||
\(999\) | 1.93905 | − | 5.05141i | 0.0613490 | − | 0.159820i |
(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 | 429.2.bs.a.7.13 | ✓ | 224 | |
11.8 | odd | 10 | inner | 429.2.bs.a.85.13 | yes | 224 | |
13.2 | odd | 12 | inner | 429.2.bs.a.106.13 | yes | 224 | |
143.41 | even | 60 | inner | 429.2.bs.a.184.13 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
429.2.bs.a.7.13 | ✓ | 224 | 1.1 | even | 1 | trivial | |
429.2.bs.a.85.13 | yes | 224 | 11.8 | odd | 10 | inner | |
429.2.bs.a.106.13 | yes | 224 | 13.2 | odd | 12 | inner | |
429.2.bs.a.184.13 | yes | 224 | 143.41 | even | 60 | inner |