Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [729,2,Mod(4,729)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(729, base_ring=CyclotomicField(486))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("729.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 729 = 3^{6} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 729.k (of order \(243\), degree \(162\), 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: | \(5.82109430735\) |
Analytic rank: | \(0\) |
Dimension: | \(12960\) |
Relative dimension: | \(80\) over \(\Q(\zeta_{243})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{243}]$ |
Embedding invariants
Embedding label | 4.8 | ||
Character | \(\chi\) | \(=\) | 729.4 |
Dual form | 729.2.k.a.547.8 |
$q$-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 \(\left(\mathbb{Z}/729\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{243}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.38931 | − | 0.0308915i | −1.68949 | − | 0.0218436i | −0.837830 | − | 0.545931i | \(-0.816176\pi\) |
−0.851664 | + | 0.524088i | \(0.824406\pi\) | |||||||
\(3\) | 0.801520 | − | 1.53544i | 0.462758 | − | 0.886485i | ||||
\(4\) | 3.70850 | + | 0.0959110i | 1.85425 | + | 0.0479555i | ||||
\(5\) | 1.80500 | + | 0.553120i | 0.807221 | + | 0.247363i | 0.669215 | − | 0.743069i | \(-0.266630\pi\) |
0.138006 | + | 0.990431i | \(0.455931\pi\) | |||||||
\(6\) | −1.96251 | + | 3.64387i | −0.801191 | + | 1.48760i | ||||
\(7\) | 1.52892 | − | 3.81257i | 0.577878 | − | 1.44101i | −0.296151 | − | 0.955141i | \(-0.595703\pi\) |
0.874029 | − | 0.485873i | \(-0.161498\pi\) | |||||||
\(8\) | −4.08235 | − | 0.158414i | −1.44333 | − | 0.0560077i | ||||
\(9\) | −1.71513 | − | 2.46137i | −0.571711 | − | 0.820455i | ||||
\(10\) | −4.29561 | − | 1.37733i | −1.35839 | − | 0.435551i | ||||
\(11\) | 1.31849 | + | 0.749911i | 0.397541 | + | 0.226107i | 0.680062 | − | 0.733154i | \(-0.261953\pi\) |
−0.282521 | + | 0.959261i | \(0.591171\pi\) | |||||||
\(12\) | 3.11970 | − | 5.61729i | 0.900579 | − | 1.62157i | ||||
\(13\) | −0.594124 | − | 1.32979i | −0.164780 | − | 0.368819i | 0.811812 | − | 0.583920i | \(-0.198482\pi\) |
−0.976592 | + | 0.215101i | \(0.930992\pi\) | |||||||
\(14\) | −3.77084 | + | 9.06215i | −1.00780 | + | 2.42196i | ||||
\(15\) | 2.29603 | − | 2.32813i | 0.592831 | − | 0.601120i | ||||
\(16\) | 2.33954 | + | 0.121094i | 0.584885 | + | 0.0302734i | ||||
\(17\) | −0.780299 | − | 0.354689i | −0.189250 | − | 0.0860248i | 0.316944 | − | 0.948444i | \(-0.397343\pi\) |
−0.506194 | + | 0.862419i | \(0.668948\pi\) | |||||||
\(18\) | 4.02194 | + | 5.93394i | 0.947980 | + | 1.39864i | ||||
\(19\) | −4.68346 | − | 6.82866i | −1.07446 | − | 1.56660i | −0.795163 | − | 0.606396i | \(-0.792615\pi\) |
−0.279297 | − | 0.960205i | \(-0.590102\pi\) | |||||||
\(20\) | 6.64079 | + | 2.22436i | 1.48493 | + | 0.497383i | ||||
\(21\) | −4.62849 | − | 5.40341i | −1.01002 | − | 1.17912i | ||||
\(22\) | −3.12712 | − | 1.83250i | −0.666704 | − | 0.390690i | ||||
\(23\) | −0.130173 | + | 0.397135i | −0.0271430 | + | 0.0828084i | −0.962923 | − | 0.269775i | \(-0.913051\pi\) |
0.935780 | + | 0.352583i | \(0.114697\pi\) | |||||||
\(24\) | −3.51532 | + | 6.14122i | −0.717562 | + | 1.25357i | ||||
\(25\) | −1.18948 | − | 0.804556i | −0.237897 | − | 0.160911i | ||||
\(26\) | 1.37846 | + | 3.19564i | 0.270339 | + | 0.626716i | ||||
\(27\) | −5.15398 | + | 0.660642i | −0.991885 | + | 0.127141i | ||||
\(28\) | 6.03566 | − | 13.9922i | 1.14063 | − | 2.64429i | ||||
\(29\) | 1.13257 | − | 0.724102i | 0.210313 | − | 0.134462i | −0.429293 | − | 0.903165i | \(-0.641237\pi\) |
0.639606 | + | 0.768703i | \(0.279097\pi\) | |||||||
\(30\) | −5.55783 | + | 5.49168i | −1.01472 | + | 1.00264i | ||||
\(31\) | 2.42367 | + | 8.92970i | 0.435303 | + | 1.60382i | 0.754612 | + | 0.656171i | \(0.227825\pi\) |
−0.319309 | + | 0.947651i | \(0.603451\pi\) | |||||||
\(32\) | 2.56765 | + | 0.166209i | 0.453901 | + | 0.0293819i | ||||
\(33\) | 2.20824 | − | 1.42340i | 0.384405 | − | 0.247781i | ||||
\(34\) | 1.85342 | + | 0.871566i | 0.317858 | + | 0.149472i | ||||
\(35\) | 4.86851 | − | 6.03601i | 0.822928 | − | 1.02027i | ||||
\(36\) | −6.12449 | − | 9.29247i | −1.02075 | − | 1.54874i | ||||
\(37\) | 9.96350 | + | 1.95677i | 1.63799 | + | 0.321691i | 0.925140 | − | 0.379626i | \(-0.123947\pi\) |
0.712850 | + | 0.701317i | \(0.247404\pi\) | |||||||
\(38\) | 10.9793 | + | 16.4604i | 1.78107 | + | 2.67023i | ||||
\(39\) | −2.51802 | − | 0.153617i | −0.403205 | − | 0.0245984i | ||||
\(40\) | −7.28103 | − | 2.54397i | −1.15123 | − | 0.402237i | ||||
\(41\) | 3.34293 | − | 1.26590i | 0.522078 | − | 0.197701i | −0.0790253 | − | 0.996873i | \(-0.525181\pi\) |
0.601103 | + | 0.799172i | \(0.294728\pi\) | |||||||
\(42\) | 10.8920 | + | 13.0534i | 1.68067 | + | 2.01418i | ||||
\(43\) | −3.26513 | + | 1.43354i | −0.497927 | + | 0.218613i | −0.635825 | − | 0.771833i | \(-0.719340\pi\) |
0.137898 | + | 0.990446i | \(0.455966\pi\) | |||||||
\(44\) | 4.81770 | + | 2.90750i | 0.726296 | + | 0.438322i | ||||
\(45\) | −1.73438 | − | 5.39144i | −0.258547 | − | 0.803709i | ||||
\(46\) | 0.323292 | − | 0.944855i | 0.0476668 | − | 0.139311i | ||||
\(47\) | −2.56437 | + | 9.44812i | −0.374052 | + | 1.37815i | 0.488668 | + | 0.872470i | \(0.337483\pi\) |
−0.862721 | + | 0.505681i | \(0.831241\pi\) | |||||||
\(48\) | 2.06112 | − | 3.49515i | 0.297497 | − | 0.504482i | ||||
\(49\) | −7.13760 | − | 6.82172i | −1.01966 | − | 0.974531i | ||||
\(50\) | 2.81719 | + | 1.95908i | 0.398410 | + | 0.277055i | ||||
\(51\) | −1.17003 | + | 0.913809i | −0.163837 | + | 0.127959i | ||||
\(52\) | −2.07576 | − | 4.98852i | −0.287857 | − | 0.691783i | ||||
\(53\) | 1.39322 | − | 1.47673i | 0.191374 | − | 0.202844i | −0.624581 | − | 0.780960i | \(-0.714730\pi\) |
0.815955 | + | 0.578116i | \(0.196212\pi\) | |||||||
\(54\) | 12.3349 | − | 1.41926i | 1.67856 | − | 0.193137i | ||||
\(55\) | 1.96509 | + | 2.08288i | 0.264973 | + | 0.280855i | ||||
\(56\) | −6.84556 | + | 15.3220i | −0.914776 | + | 2.04749i | ||||
\(57\) | −14.2389 | + | 1.71786i | −1.88598 | + | 0.227536i | ||||
\(58\) | −2.72842 | + | 1.69511i | −0.358260 | + | 0.222580i | ||||
\(59\) | −12.2534 | + | 2.07903i | −1.59526 | + | 0.270667i | −0.895951 | − | 0.444153i | \(-0.853505\pi\) |
−0.699309 | + | 0.714819i | \(0.746509\pi\) | |||||||
\(60\) | 8.73809 | − | 8.41364i | 1.12808 | − | 1.08620i | ||||
\(61\) | 5.36764 | − | 9.87834i | 0.687255 | − | 1.26479i | −0.266392 | − | 0.963865i | \(-0.585831\pi\) |
0.953647 | − | 0.300927i | \(-0.0972961\pi\) | |||||||
\(62\) | −5.51503 | − | 21.4107i | −0.700409 | − | 2.71916i | ||||
\(63\) | −12.0064 | + | 2.77582i | −1.51267 | + | 0.349720i | ||||
\(64\) | −10.8010 | − | 0.839522i | −1.35013 | − | 0.104940i | ||||
\(65\) | −0.336858 | − | 2.72890i | −0.0417821 | − | 0.338479i | ||||
\(66\) | −5.32013 | + | 3.33271i | −0.654863 | + | 0.410228i | ||||
\(67\) | 11.0282 | − | 5.71828i | 1.34731 | − | 0.698600i | 0.373856 | − | 0.927487i | \(-0.378035\pi\) |
0.973453 | + | 0.228887i | \(0.0735087\pi\) | |||||||
\(68\) | −2.85972 | − | 1.39020i | −0.346792 | − | 0.168587i | ||||
\(69\) | 0.505439 | + | 0.518184i | 0.0608477 | + | 0.0623820i | ||||
\(70\) | −11.8188 | + | 14.2715i | −1.41262 | + | 1.70577i | ||||
\(71\) | −7.00633 | − | 5.43031i | −0.831498 | − | 0.644459i | 0.105257 | − | 0.994445i | \(-0.466433\pi\) |
−0.936755 | + | 0.349986i | \(0.886186\pi\) | |||||||
\(72\) | 6.61186 | + | 10.3199i | 0.779215 | + | 1.21621i | ||||
\(73\) | 8.22018 | − | 2.63569i | 0.962099 | − | 0.308485i | 0.217548 | − | 0.976050i | \(-0.430194\pi\) |
0.744551 | + | 0.667565i | \(0.232663\pi\) | |||||||
\(74\) | −23.7454 | − | 4.98310i | −2.76035 | − | 0.579274i | ||||
\(75\) | −2.18874 | + | 1.18151i | −0.252734 | + | 0.136429i | ||||
\(76\) | −16.7137 | − | 25.7732i | −1.91719 | − | 2.95639i | ||||
\(77\) | 4.87496 | − | 3.88029i | 0.555553 | − | 0.442200i | ||||
\(78\) | 6.01157 | + | 0.444824i | 0.680676 | + | 0.0503664i | ||||
\(79\) | −1.47018 | + | 7.75049i | −0.165408 | + | 0.871998i | 0.797735 | + | 0.603008i | \(0.206031\pi\) |
−0.963143 | + | 0.268990i | \(0.913310\pi\) | |||||||
\(80\) | 4.15589 | + | 1.51262i | 0.464643 | + | 0.169116i | ||||
\(81\) | −3.11665 | + | 8.44313i | −0.346294 | + | 0.938126i | ||||
\(82\) | −8.02638 | + | 2.92136i | −0.886366 | + | 0.322611i | ||||
\(83\) | 0.229573 | + | 1.40820i | 0.0251989 | + | 0.154570i | 0.996539 | − | 0.0831232i | \(-0.0264895\pi\) |
−0.971340 | + | 0.237693i | \(0.923609\pi\) | |||||||
\(84\) | −16.6465 | − | 20.4824i | −1.81628 | − | 2.23482i | ||||
\(85\) | −1.21225 | − | 1.07181i | −0.131487 | − | 0.116254i | ||||
\(86\) | 7.84568 | − | 3.32431i | 0.846021 | − | 0.358469i | ||||
\(87\) | −0.204036 | − | 2.31937i | −0.0218750 | − | 0.248663i | ||||
\(88\) | −5.26376 | − | 3.27027i | −0.561119 | − | 0.348612i | ||||
\(89\) | −5.80531 | − | 2.37173i | −0.615362 | − | 0.251403i | 0.0490181 | − | 0.998798i | \(-0.484391\pi\) |
−0.664380 | + | 0.747395i | \(0.731304\pi\) | |||||||
\(90\) | 3.97742 | + | 12.9354i | 0.419257 | + | 1.36351i | ||||
\(91\) | −5.97830 | + | 0.231985i | −0.626696 | + | 0.0243186i | ||||
\(92\) | −0.520836 | + | 1.46029i | −0.0543009 | + | 0.152246i | ||||
\(93\) | 15.6536 | + | 3.43595i | 1.62320 | + | 0.356291i | ||||
\(94\) | 6.41894 | − | 22.4952i | 0.662063 | − | 2.32021i | ||||
\(95\) | −4.67659 | − | 14.9162i | −0.479808 | − | 1.53037i | ||||
\(96\) | 2.31323 | − | 3.80924i | 0.236093 | − | 0.388779i | ||||
\(97\) | −0.943214 | + | 4.09759i | −0.0957688 | + | 0.416047i | −0.999938 | − | 0.0111272i | \(-0.996458\pi\) |
0.904169 | + | 0.427174i | \(0.140491\pi\) | |||||||
\(98\) | 16.8432 | + | 16.5197i | 1.70142 | + | 1.66874i | ||||
\(99\) | −0.415585 | − | 4.53149i | −0.0417679 | − | 0.455432i | ||||
\(100\) | −4.33403 | − | 3.09778i | −0.433403 | − | 0.309778i | ||||
\(101\) | −1.15440 | + | 7.70723i | −0.114867 | + | 0.766898i | 0.854172 | + | 0.519991i | \(0.174065\pi\) |
−0.969039 | + | 0.246907i | \(0.920586\pi\) | |||||||
\(102\) | 2.82378 | − | 2.14722i | 0.279596 | − | 0.212607i | ||||
\(103\) | −1.78032 | − | 4.99154i | −0.175420 | − | 0.491831i | 0.821504 | − | 0.570202i | \(-0.193135\pi\) |
−0.996924 | + | 0.0783711i | \(0.975028\pi\) | |||||||
\(104\) | 2.21476 | + | 5.52281i | 0.217176 | + | 0.541556i | ||||
\(105\) | −5.36570 | − | 12.3133i | −0.523638 | − | 1.20165i | ||||
\(106\) | −3.37445 | + | 3.48532i | −0.327755 | + | 0.338524i | ||||
\(107\) | 0.0992235 | + | 1.70360i | 0.00959230 | + | 0.164693i | 0.999702 | + | 0.0244000i | \(0.00776754\pi\) |
−0.990110 | + | 0.140293i | \(0.955195\pi\) | |||||||
\(108\) | −19.1769 | + | 1.95567i | −1.84530 | + | 0.188184i | ||||
\(109\) | 0.215547 | − | 3.70081i | 0.0206457 | − | 0.354473i | −0.972126 | − | 0.234458i | \(-0.924669\pi\) |
0.992772 | − | 0.120015i | \(-0.0382944\pi\) | |||||||
\(110\) | −4.63086 | − | 5.03733i | −0.441535 | − | 0.480291i | ||||
\(111\) | 10.9904 | − | 13.7299i | 1.04317 | − | 1.30319i | ||||
\(112\) | 4.03865 | − | 8.73450i | 0.381616 | − | 0.825333i | ||||
\(113\) | 13.3275 | − | 9.78870i | 1.25375 | − | 0.920844i | 0.254812 | − | 0.966991i | \(-0.417986\pi\) |
0.998935 | + | 0.0461469i | \(0.0146942\pi\) | |||||||
\(114\) | 34.0740 | − | 3.66463i | 3.19133 | − | 0.343224i | ||||
\(115\) | −0.454626 | + | 0.644827i | −0.0423941 | + | 0.0601305i | ||||
\(116\) | 4.26958 | − | 2.57670i | 0.396421 | − | 0.239241i | ||||
\(117\) | −2.25411 | + | 3.74313i | −0.208393 | + | 0.346052i | ||||
\(118\) | 29.3414 | − | 4.58891i | 2.70110 | − | 0.422444i | ||||
\(119\) | −2.54529 | + | 2.43265i | −0.233326 | + | 0.223000i | ||||
\(120\) | −9.74199 | + | 9.14051i | −0.889318 | + | 0.834411i | ||||
\(121\) | −4.44664 | − | 7.47687i | −0.404240 | − | 0.679716i | ||||
\(122\) | −13.1301 | + | 23.4366i | −1.18874 | + | 2.12185i | ||||
\(123\) | 0.735707 | − | 6.14750i | 0.0663365 | − | 0.554302i | ||||
\(124\) | 8.13170 | + | 33.3482i | 0.730248 | + | 2.99476i | ||||
\(125\) | −7.62807 | − | 9.45733i | −0.682275 | − | 0.845889i | ||||
\(126\) | 28.7728 | − | 6.26138i | 2.56328 | − | 0.557808i | ||||
\(127\) | 0.0488228 | + | 2.51729i | 0.00433232 | + | 0.223373i | 0.995720 | + | 0.0924167i | \(0.0294592\pi\) |
−0.991388 | + | 0.130957i | \(0.958195\pi\) | |||||||
\(128\) | 20.6560 | + | 1.87446i | 1.82575 | + | 0.165680i | ||||
\(129\) | −0.415951 | + | 6.16241i | −0.0366224 | + | 0.542570i | ||||
\(130\) | 0.720556 | + | 6.53059i | 0.0631970 | + | 0.572770i | ||||
\(131\) | 4.59060 | − | 0.416580i | 0.401082 | − | 0.0363968i | 0.112017 | − | 0.993706i | \(-0.464269\pi\) |
0.289065 | + | 0.957309i | \(0.406656\pi\) | |||||||
\(132\) | 8.32577 | − | 5.06686i | 0.724665 | − | 0.441014i | ||||
\(133\) | −33.1953 | + | 7.41553i | −2.87840 | + | 0.643008i | ||||
\(134\) | −26.5264 | + | 13.3220i | −2.29153 | + | 1.15085i | ||||
\(135\) | −9.66836 | − | 1.65831i | −0.832120 | − | 0.142725i | ||||
\(136\) | 3.12927 | + | 1.57158i | 0.268332 | + | 0.134762i | ||||
\(137\) | −8.42703 | − | 2.11267i | −0.719970 | − | 0.180498i | −0.134176 | − | 0.990958i | \(-0.542839\pi\) |
−0.585794 | + | 0.810460i | \(0.699217\pi\) | |||||||
\(138\) | −1.19164 | − | 1.25371i | −0.101439 | − | 0.106723i | ||||
\(139\) | 3.60001 | + | 0.515444i | 0.305349 | + | 0.0437194i | 0.292712 | − | 0.956201i | \(-0.405442\pi\) |
0.0126371 | + | 0.999920i | \(0.495977\pi\) | |||||||
\(140\) | 18.6338 | − | 21.9176i | 1.57484 | − | 1.85237i | ||||
\(141\) | 12.4516 | + | 11.5103i | 1.04861 | + | 0.969341i | ||||
\(142\) | 16.5725 | + | 13.1911i | 1.39073 | + | 1.10697i | ||||
\(143\) | 0.213879 | − | 2.19887i | 0.0178854 | − | 0.183878i | ||||
\(144\) | −3.71456 | − | 5.96615i | −0.309547 | − | 0.497179i | ||||
\(145\) | 2.44480 | − | 0.680558i | 0.203030 | − | 0.0565173i | ||||
\(146\) | −19.7219 | + | 6.04355i | −1.63220 | + | 0.500167i | ||||
\(147\) | −16.1952 | + | 5.49158i | −1.33576 | + | 0.452938i | ||||
\(148\) | 36.7619 | + | 8.21228i | 3.02181 | + | 0.675045i | ||||
\(149\) | 10.7905 | − | 2.70520i | 0.883994 | − | 0.221619i | 0.225535 | − | 0.974235i | \(-0.427587\pi\) |
0.658459 | + | 0.752616i | \(0.271208\pi\) | |||||||
\(150\) | 5.26607 | − | 2.75537i | 0.429973 | − | 0.224975i | ||||
\(151\) | 8.49639 | + | 9.99369i | 0.691426 | + | 0.813275i | 0.989993 | − | 0.141114i | \(-0.0450683\pi\) |
−0.298567 | + | 0.954389i | \(0.596509\pi\) | |||||||
\(152\) | 18.0378 | + | 28.6189i | 1.46306 | + | 2.32130i | ||||
\(153\) | 0.465295 | + | 2.52894i | 0.0376169 | + | 0.204453i | ||||
\(154\) | −11.7676 | + | 9.12060i | −0.948263 | + | 0.734959i | ||||
\(155\) | −0.564478 | + | 17.4587i | −0.0453399 | + | 1.40232i | ||||
\(156\) | −9.32332 | − | 0.811194i | −0.746463 | − | 0.0649475i | ||||
\(157\) | −2.39041 | + | 19.3648i | −0.190776 | + | 1.54548i | 0.527398 | + | 0.849619i | \(0.323168\pi\) |
−0.718173 | + | 0.695864i | \(0.755021\pi\) | |||||||
\(158\) | 3.75213 | − | 18.4729i | 0.298504 | − | 1.46962i | ||||
\(159\) | −1.15073 | − | 3.32283i | −0.0912587 | − | 0.263518i | ||||
\(160\) | 4.54268 | + | 1.72023i | 0.359130 | + | 0.135996i | ||||
\(161\) | 1.31508 | + | 1.10348i | 0.103643 | + | 0.0869665i | ||||
\(162\) | 7.70744 | − | 20.0770i | 0.605554 | − | 1.57739i | ||||
\(163\) | −3.34925 | + | 2.81035i | −0.262333 | + | 0.220124i | −0.764462 | − | 0.644669i | \(-0.776995\pi\) |
0.502128 | + | 0.864793i | \(0.332551\pi\) | |||||||
\(164\) | 12.5187 | − | 4.37398i | 0.977542 | − | 0.341550i | ||||
\(165\) | 4.77318 | − | 1.34781i | 0.371592 | − | 0.104927i | ||||
\(166\) | −0.505018 | − | 3.37170i | −0.0391970 | − | 0.261695i | ||||
\(167\) | −2.36141 | + | 4.62713i | −0.182731 | + | 0.358058i | −0.963901 | − | 0.266261i | \(-0.914212\pi\) |
0.781170 | + | 0.624319i | \(0.214623\pi\) | |||||||
\(168\) | 18.0392 | + | 22.7918i | 1.39175 | + | 1.75843i | ||||
\(169\) | 7.25832 | − | 8.10322i | 0.558332 | − | 0.623324i | ||||
\(170\) | 2.86334 | + | 2.59834i | 0.219608 | + | 0.199283i | ||||
\(171\) | −8.77507 | + | 23.2398i | −0.671046 | + | 1.77719i | ||||
\(172\) | −12.2462 | + | 5.00313i | −0.933765 | + | 0.381485i | ||||
\(173\) | 10.4474 | + | 1.77260i | 0.794302 | + | 0.134769i | 0.550257 | − | 0.834995i | \(-0.314530\pi\) |
0.244045 | + | 0.969764i | \(0.421526\pi\) | |||||||
\(174\) | 0.415856 | + | 5.54799i | 0.0315259 | + | 0.420592i | ||||
\(175\) | −4.88605 | + | 3.30488i | −0.369351 | + | 0.249826i | ||||
\(176\) | 2.99386 | + | 1.91411i | 0.225671 | + | 0.144281i | ||||
\(177\) | −6.62915 | + | 20.4807i | −0.498277 | + | 1.53943i | ||||
\(178\) | 13.7974 | + | 5.84613i | 1.03416 | + | 0.438186i | ||||
\(179\) | −11.3149 | − | 23.6631i | −0.845716 | − | 1.76867i | −0.601357 | − | 0.798981i | \(-0.705373\pi\) |
−0.244360 | − | 0.969685i | \(-0.578578\pi\) | |||||||
\(180\) | −5.91485 | − | 20.1605i | −0.440867 | − | 1.50267i | ||||
\(181\) | 14.5975 | + | 4.06349i | 1.08502 | + | 0.302037i | 0.764119 | − | 0.645075i | \(-0.223174\pi\) |
0.320904 | + | 0.947112i | \(0.396013\pi\) | |||||||
\(182\) | 14.2911 | − | 0.369605i | 1.05933 | − | 0.0273969i | ||||
\(183\) | −10.8653 | − | 16.1594i | −0.803186 | − | 1.19453i | ||||
\(184\) | 0.594324 | − | 1.60062i | 0.0438142 | − | 0.117999i | ||||
\(185\) | 16.9018 | + | 9.04298i | 1.24265 | + | 0.664853i | ||||
\(186\) | −37.2951 | − | 8.69309i | −2.73461 | − | 0.637408i | ||||
\(187\) | −0.762834 | − | 1.05281i | −0.0557839 | − | 0.0769891i | ||||
\(188\) | −10.4162 | + | 34.7924i | −0.759676 | + | 2.53749i | ||||
\(189\) | −5.36129 | + | 20.6600i | −0.389977 | + | 1.50279i | ||||
\(190\) | 10.7130 | + | 35.7839i | 0.777203 | + | 2.59604i | ||||
\(191\) | −1.07596 | + | 1.40692i | −0.0778535 | + | 0.101801i | −0.831630 | − | 0.555330i | \(-0.812592\pi\) |
0.753777 | + | 0.657131i | \(0.228230\pi\) | |||||||
\(192\) | −9.94626 | + | 15.9114i | −0.717810 | + | 1.14831i | ||||
\(193\) | 3.30285 | − | 1.55316i | 0.237744 | − | 0.111799i | −0.302986 | − | 0.952995i | \(-0.597983\pi\) |
0.540730 | + | 0.841196i | \(0.318148\pi\) | |||||||
\(194\) | 2.38021 | − | 9.76126i | 0.170889 | − | 0.700817i | ||||
\(195\) | −4.46005 | − | 1.67005i | −0.319391 | − | 0.119594i | ||||
\(196\) | −25.8155 | − | 25.9829i | −1.84396 | − | 1.85592i | ||||
\(197\) | 8.00434 | − | 1.57200i | 0.570285 | − | 0.112000i | 0.100746 | − | 0.994912i | \(-0.467877\pi\) |
0.469539 | + | 0.882912i | \(0.344420\pi\) | |||||||
\(198\) | 0.852976 | + | 10.8400i | 0.0606184 | + | 0.770362i | ||||
\(199\) | 21.3891 | − | 11.8020i | 1.51623 | − | 0.836622i | 0.516426 | − | 0.856332i | \(-0.327262\pi\) |
0.999806 | + | 0.0197101i | \(0.00627432\pi\) | |||||||
\(200\) | 4.72844 | + | 3.47291i | 0.334351 | + | 0.245572i | ||||
\(201\) | 0.0592570 | − | 21.5164i | 0.00417967 | − | 1.51765i | ||||
\(202\) | 2.99630 | − | 18.3793i | 0.210819 | − | 1.29316i | ||||
\(203\) | −1.02908 | − | 5.42509i | −0.0722271 | − | 0.380767i | ||||
\(204\) | −4.42669 | + | 3.27664i | −0.309930 | + | 0.229411i | ||||
\(205\) | 6.73419 | − | 0.435917i | 0.470336 | − | 0.0304458i | ||||
\(206\) | 4.09952 | + | 11.9813i | 0.285627 | + | 0.834777i | ||||
\(207\) | 1.20076 | − | 0.360735i | 0.0834585 | − | 0.0250728i | ||||
\(208\) | −1.22895 | − | 3.18305i | −0.0852121 | − | 0.220705i | ||||
\(209\) | −1.05423 | − | 12.5157i | −0.0729228 | − | 0.865730i | ||||
\(210\) | 12.4399 | + | 29.5859i | 0.858436 | + | 2.04162i | ||||
\(211\) | 3.74920 | − | 5.62091i | 0.258106 | − | 0.386959i | −0.680054 | − | 0.733162i | \(-0.738044\pi\) |
0.938160 | + | 0.346203i | \(0.112529\pi\) | |||||||
\(212\) | 5.30839 | − | 5.34281i | 0.364582 | − | 0.366946i | ||||
\(213\) | −13.9536 | + | 6.40527i | −0.956086 | + | 0.438882i | ||||
\(214\) | −0.184448 | − | 4.07349i | −0.0126086 | − | 0.278458i | ||||
\(215\) | −6.68648 | + | 0.781538i | −0.456014 | + | 0.0533004i | ||||
\(216\) | 21.1450 | − | 1.88051i | 1.43874 | − | 0.127953i | ||||
\(217\) | 37.7507 | + | 4.41242i | 2.56268 | + | 0.299535i | ||||
\(218\) | −0.629332 | + | 8.83570i | −0.0426238 | + | 0.598429i | ||||
\(219\) | 2.54169 | − | 14.7341i | 0.171752 | − | 0.995640i | ||||
\(220\) | 7.08776 | + | 7.91281i | 0.477857 | + | 0.533481i | ||||
\(221\) | −0.00806978 | + | 1.24837i | −0.000542832 | + | 0.0839742i | ||||
\(222\) | −26.6837 | + | 32.4655i | −1.79089 | + | 2.17894i | ||||
\(223\) | −4.83198 | + | 4.27219i | −0.323573 | + | 0.286087i | −0.808535 | − | 0.588448i | \(-0.799739\pi\) |
0.484961 | + | 0.874536i | \(0.338834\pi\) | |||||||
\(224\) | 4.55942 | − | 9.53521i | 0.304639 | − | 0.637098i | ||||
\(225\) | 0.0598137 | + | 4.30768i | 0.00398758 | + | 0.287178i | ||||
\(226\) | −32.1459 | + | 22.9765i | −2.13831 | + | 1.52837i | ||||
\(227\) | 8.23892 | + | 16.1440i | 0.546836 | + | 1.07151i | 0.984990 | + | 0.172614i | \(0.0552212\pi\) |
−0.438153 | + | 0.898900i | \(0.644367\pi\) | |||||||
\(228\) | −52.9695 | + | 5.00500i | −3.50799 | + | 0.331465i | ||||
\(229\) | 0.764490 | + | 0.999644i | 0.0505189 | + | 0.0660583i | 0.818909 | − | 0.573924i | \(-0.194580\pi\) |
−0.768390 | + | 0.639982i | \(0.778942\pi\) | |||||||
\(230\) | 1.10616 | − | 1.52665i | 0.0729381 | − | 0.100664i | ||||
\(231\) | −2.05056 | − | 10.5953i | −0.134917 | − | 0.697121i | ||||
\(232\) | −4.73826 | + | 2.77663i | −0.311082 | + | 0.182294i | ||||
\(233\) | 4.33368 | + | 20.0065i | 0.283909 | + | 1.31067i | 0.867019 | + | 0.498275i | \(0.166033\pi\) |
−0.583111 | + | 0.812393i | \(0.698165\pi\) | |||||||
\(234\) | 5.50139 | − | 8.87385i | 0.359637 | − | 0.580101i | ||||
\(235\) | −9.85465 | + | 15.6355i | −0.642846 | + | 1.01994i | ||||
\(236\) | −45.6412 | + | 6.53484i | −2.97099 | + | 0.425382i | ||||
\(237\) | 10.7220 | + | 8.46954i | 0.696469 | + | 0.550156i | ||||
\(238\) | 6.15663 | − | 5.73371i | 0.399075 | − | 0.371661i | ||||
\(239\) | 1.64468 | + | 3.02678i | 0.106385 | + | 0.195786i | 0.926385 | − | 0.376577i | \(-0.122899\pi\) |
−0.820000 | + | 0.572364i | \(0.806027\pi\) | |||||||
\(240\) | 5.65356 | − | 5.16871i | 0.364936 | − | 0.333639i | ||||
\(241\) | −1.50798 | + | 2.53561i | −0.0971373 | + | 0.163333i | −0.904169 | − | 0.427175i | \(-0.859509\pi\) |
0.807032 | + | 0.590508i | \(0.201073\pi\) | |||||||
\(242\) | 10.3934 | + | 18.0019i | 0.668113 | + | 1.15721i | ||||
\(243\) | 10.4658 | + | 11.5528i | 0.671384 | + | 0.741109i | ||||
\(244\) | 20.8533 | − | 36.1190i | 1.33500 | − | 2.31228i | ||||
\(245\) | −9.11014 | − | 16.2612i | −0.582025 | − | 1.03889i | ||||
\(246\) | −1.94774 | + | 14.6655i | −0.124183 | + | 0.935040i | ||||
\(247\) | −6.29815 | + | 10.2851i | −0.400742 | + | 0.654426i | ||||
\(248\) | −8.47967 | − | 36.8381i | −0.538460 | − | 2.33922i | ||||
\(249\) | 2.34620 | + | 0.776202i | 0.148685 | + | 0.0491898i | ||||
\(250\) | 17.9336 | + | 22.8321i | 1.13422 | + | 1.44403i | ||||
\(251\) | −0.507427 | − | 0.963327i | −0.0320285 | − | 0.0608047i | 0.868225 | − | 0.496171i | \(-0.165261\pi\) |
−0.900254 | + | 0.435366i | \(0.856619\pi\) | |||||||
\(252\) | −44.7920 | + | 9.14256i | −2.82163 | + | 0.575927i | ||||
\(253\) | −0.469448 | + | 0.426002i | −0.0295140 | + | 0.0267825i | ||||
\(254\) | −0.0388896 | − | 6.01608i | −0.00244015 | − | 0.377483i | ||||
\(255\) | −2.61735 | + | 1.00226i | −0.163905 | + | 0.0627639i | ||||
\(256\) | −27.7442 | − | 2.87977i | −1.73401 | − | 0.179986i | ||||
\(257\) | 15.9476 | − | 2.07333i | 0.994784 | − | 0.129331i | 0.385859 | − | 0.922558i | \(-0.373905\pi\) |
0.608926 | + | 0.793227i | \(0.291601\pi\) | |||||||
\(258\) | 1.18420 | − | 14.7110i | 0.0737251 | − | 0.915869i | ||||
\(259\) | 22.6937 | − | 34.9948i | 1.41012 | − | 2.17447i | ||||
\(260\) | −0.987504 | − | 10.1524i | −0.0612424 | − | 0.629627i | ||||
\(261\) | −3.72479 | − | 1.54574i | −0.230559 | − | 0.0956788i | ||||
\(262\) | −10.9812 | + | 0.853527i | −0.678421 | + | 0.0527311i | ||||
\(263\) | −3.94223 | − | 19.4088i | −0.243088 | − | 1.19680i | −0.897623 | − | 0.440764i | \(-0.854708\pi\) |
0.654535 | − | 0.756032i | \(-0.272865\pi\) | |||||||
\(264\) | −9.24030 | + | 5.46098i | −0.568701 | + | 0.336100i | ||||
\(265\) | 3.33157 | − | 1.89488i | 0.204657 | − | 0.116401i | ||||
\(266\) | 79.5429 | − | 16.6925i | 4.87709 | − | 1.02348i | ||||
\(267\) | −8.29472 | + | 7.01270i | −0.507628 | + | 0.429170i | ||||
\(268\) | 41.4465 | − | 20.1485i | 2.53175 | − | 1.23077i | ||||
\(269\) | −13.3323 | + | 17.9084i | −0.812886 | + | 1.09190i | 0.181216 | + | 0.983443i | \(0.441997\pi\) |
−0.994102 | + | 0.108452i | \(0.965411\pi\) | |||||||
\(270\) | 23.0494 | + | 4.26089i | 1.40274 | + | 0.259309i | ||||
\(271\) | 3.93229 | + | 5.28198i | 0.238870 | + | 0.320857i | 0.905351 | − | 0.424664i | \(-0.139608\pi\) |
−0.666481 | + | 0.745522i | \(0.732200\pi\) | |||||||
\(272\) | −1.78259 | − | 0.924299i | −0.108085 | − | 0.0560438i | ||||
\(273\) | −4.43552 | + | 9.36524i | −0.268450 | + | 0.566810i | ||||
\(274\) | 20.0695 | + | 5.30814i | 1.21244 | + | 0.320676i | ||||
\(275\) | −0.964982 | − | 1.95281i | −0.0581906 | − | 0.117759i | ||||
\(276\) | 1.82472 | + | 1.97016i | 0.109835 | + | 0.118590i | ||||
\(277\) | −6.30152 | + | 4.38209i | −0.378622 | + | 0.263294i | −0.744851 | − | 0.667230i | \(-0.767480\pi\) |
0.366230 | + | 0.930524i | \(0.380648\pi\) | |||||||
\(278\) | −8.58560 | − | 1.34276i | −0.514930 | − | 0.0805336i | ||||
\(279\) | 17.8224 | − | 21.2811i | 1.06700 | − | 1.27407i | ||||
\(280\) | −20.8312 | + | 23.8699i | −1.24490 | + | 1.42650i | ||||
\(281\) | 13.3501 | − | 27.0163i | 0.796402 | − | 1.61166i | 0.00529052 | − | 0.999986i | \(-0.498316\pi\) |
0.791111 | − | 0.611672i | \(-0.209503\pi\) | |||||||
\(282\) | −29.3951 | − | 27.8863i | −1.75045 | − | 1.66060i | ||||
\(283\) | −11.1010 | + | 9.56208i | −0.659884 | + | 0.568407i | −0.917449 | − | 0.397854i | \(-0.869755\pi\) |
0.257565 | + | 0.966261i | \(0.417080\pi\) | |||||||
\(284\) | −25.4621 | − | 20.8103i | −1.51090 | − | 1.23486i | ||||
\(285\) | −26.6513 | − | 4.77507i | −1.57869 | − | 0.282850i | ||||
\(286\) | −0.578948 | + | 5.24715i | −0.0342339 | + | 0.310271i | ||||
\(287\) | 0.284730 | − | 14.6806i | 0.0168071 | − | 0.866568i | ||||
\(288\) | −3.99476 | − | 6.60500i | −0.235393 | − | 0.389203i | ||||
\(289\) | −10.6948 | − | 12.2549i | −0.629106 | − | 0.720875i | ||||
\(290\) | −5.86241 | + | 1.55054i | −0.344253 | + | 0.0910507i | ||||
\(291\) | 5.53559 | + | 4.73254i | 0.324502 | + | 0.277427i | ||||
\(292\) | 30.7373 | − | 8.98606i | 1.79876 | − | 0.525869i | ||||
\(293\) | 2.37592 | − | 28.2066i | 0.138803 | − | 1.64785i | −0.491051 | − | 0.871131i | \(-0.663387\pi\) |
0.629853 | − | 0.776714i | \(-0.283115\pi\) | |||||||
\(294\) | 38.8650 | − | 12.6208i | 2.26665 | − | 0.736059i | ||||
\(295\) | −23.2674 | − | 3.02497i | −1.35468 | − | 0.176120i | ||||
\(296\) | −40.3645 | − | 9.56657i | −2.34614 | − | 0.556046i | ||||
\(297\) | −7.29092 | − | 2.99398i | −0.423062 | − | 0.173728i | ||||
\(298\) | −25.8654 | + | 6.13022i | −1.49834 | + | 0.355114i | ||||
\(299\) | 0.605447 | − | 0.0628437i | 0.0350139 | − | 0.00363435i | ||||
\(300\) | −8.23026 | + | 4.17170i | −0.475174 | + | 0.240853i | ||||
\(301\) | 0.473352 | + | 14.6403i | 0.0272836 | + | 0.843852i | ||||
\(302\) | −19.9918 | − | 24.1404i | −1.15040 | − | 1.38913i | ||||
\(303\) | 10.9087 | + | 7.95001i | 0.626688 | + | 0.456716i | ||||
\(304\) | −10.1302 | − | 16.5430i | −0.581009 | − | 0.948808i | ||||
\(305\) | 15.1525 | − | 14.8615i | 0.867629 | − | 0.850965i | ||||
\(306\) | −1.03361 | − | 6.05678i | −0.0590875 | − | 0.346243i | ||||
\(307\) | 10.9421 | − | 15.9539i | 0.624497 | − | 0.910539i | −0.375370 | − | 0.926875i | \(-0.622484\pi\) |
0.999867 | + | 0.0163364i | \(0.00520027\pi\) | |||||||
\(308\) | 18.4509 | − | 13.9225i | 1.05134 | − | 0.793307i | ||||
\(309\) | −9.09115 | − | 1.26725i | −0.517178 | − | 0.0720916i | ||||
\(310\) | 1.88804 | − | 41.6967i | 0.107233 | − | 2.36821i | ||||
\(311\) | 1.88337 | + | 26.4421i | 0.106796 | + | 1.49940i | 0.711353 | + | 0.702835i | \(0.248083\pi\) |
−0.604557 | + | 0.796562i | \(0.706650\pi\) | |||||||
\(312\) | 10.2551 | + | 1.02601i | 0.580580 | + | 0.0580863i | ||||
\(313\) | 8.25875 | + | 22.2423i | 0.466812 | + | 1.25721i | 0.928885 | + | 0.370368i | \(0.120768\pi\) |
−0.462073 | + | 0.886842i | \(0.652894\pi\) | |||||||
\(314\) | 6.30963 | − | 46.1947i | 0.356073 | − | 2.60692i | ||||
\(315\) | −23.2070 | − | 1.63064i | −1.30756 | − | 0.0918762i | ||||
\(316\) | −6.19551 | + | 28.6017i | −0.348525 | + | 1.60897i | ||||
\(317\) | −3.43804 | − | 10.4888i | −0.193100 | − | 0.589112i | 0.806899 | − | 0.590689i | \(-0.201144\pi\) |
−0.999999 | + | 0.00157731i | \(0.999498\pi\) | |||||||
\(318\) | 2.64679 | + | 7.97480i | 0.148425 | + | 0.447205i | ||||
\(319\) | 2.03630 | − | 0.105398i | 0.114011 | − | 0.00590116i | ||||
\(320\) | −19.0315 | − | 7.48960i | −1.06389 | − | 0.418681i | ||||
\(321\) | 2.69530 | + | 1.21312i | 0.150437 | + | 0.0677097i | ||||
\(322\) | −3.10804 | − | 2.67718i | −0.173204 | − | 0.149193i | ||||
\(323\) | 1.23245 | + | 6.98957i | 0.0685753 | + | 0.388910i | ||||
\(324\) | −12.3679 | + | 31.0124i | −0.687103 | + | 1.72291i | ||||
\(325\) | −0.363194 | + | 2.05977i | −0.0201464 | + | 0.114256i | ||||
\(326\) | 8.08920 | − | 6.61133i | 0.448019 | − | 0.366168i | ||||
\(327\) | −5.50959 | − | 3.29723i | −0.304681 | − | 0.182337i | ||||
\(328\) | −13.8475 | + | 4.63830i | −0.764603 | + | 0.256107i | ||||
\(329\) | 32.1009 | + | 24.2223i | 1.76978 | + | 1.33542i | ||||
\(330\) | −11.4462 | + | 3.07287i | −0.630094 | + | 0.169156i | ||||
\(331\) | −18.8294 | + | 10.0743i | −1.03496 | + | 0.553734i | −0.899442 | − | 0.437041i | \(-0.856026\pi\) |
−0.135516 | + | 0.990775i | \(0.543269\pi\) | |||||||
\(332\) | 0.716309 | + | 5.24431i | 0.0393125 | + | 0.287819i | ||||
\(333\) | −12.2724 | − | 27.8799i | −0.672523 | − | 1.52781i | ||||
\(334\) | 5.78506 | − | 10.9827i | 0.316545 | − | 0.600945i | ||||
\(335\) | 23.0688 | − | 4.22159i | 1.26038 | − | 0.230650i | ||||
\(336\) | −10.1742 | − | 13.2020i | −0.555049 | − | 0.720226i | ||||
\(337\) | −7.67546 | − | 7.92764i | −0.418109 | − | 0.431846i | 0.476172 | − | 0.879352i | \(-0.342024\pi\) |
−0.894281 | + | 0.447506i | \(0.852312\pi\) | |||||||
\(338\) | −17.5927 | + | 19.1368i | −0.956915 | + | 1.04091i | ||||
\(339\) | −4.34767 | − | 28.3094i | −0.236133 | − | 1.53755i | ||||
\(340\) | −4.39284 | − | 4.09108i | −0.238235 | − | 0.221870i | ||||
\(341\) | −3.50089 | + | 13.5913i | −0.189584 | + | 0.736010i | ||||
\(342\) | 21.6842 | − | 55.2558i | 1.17255 | − | 2.98789i | ||||
\(343\) | −10.7445 | + | 4.88399i | −0.580151 | + | 0.263711i | ||||
\(344\) | 13.5565 | − | 5.33499i | 0.730917 | − | 0.287643i | ||||
\(345\) | 0.625700 | + | 1.21489i | 0.0336865 | + | 0.0654076i | ||||
\(346\) | −24.9073 | − | 4.55803i | −1.33902 | − | 0.245041i | ||||
\(347\) | −1.92085 | + | 2.44552i | −0.103117 | + | 0.131282i | −0.835230 | − | 0.549900i | \(-0.814666\pi\) |
0.732113 | + | 0.681183i | \(0.238534\pi\) | |||||||
\(348\) | −0.534214 | − | 8.62095i | −0.0286369 | − | 0.462131i | ||||
\(349\) | 1.68412 | + | 5.90201i | 0.0901488 | + | 0.315927i | 0.993629 | − | 0.112703i | \(-0.0359510\pi\) |
−0.903480 | + | 0.428630i | \(0.858996\pi\) | |||||||
\(350\) | 11.7764 | − | 7.74544i | 0.629473 | − | 0.414011i | ||||
\(351\) | 3.94062 | + | 6.46124i | 0.210335 | + | 0.344875i | ||||
\(352\) | 3.26079 | + | 2.14465i | 0.173801 | + | 0.114310i | ||||
\(353\) | −5.12177 | + | 16.3362i | −0.272604 | + | 0.869487i | 0.713109 | + | 0.701053i | \(0.247287\pi\) |
−0.985713 | + | 0.168434i | \(0.946129\pi\) | |||||||
\(354\) | 16.4717 | − | 48.7300i | 0.875463 | − | 2.58997i | ||||
\(355\) | −9.64281 | − | 13.6771i | −0.511787 | − | 0.725903i | ||||
\(356\) | −21.3015 | − | 9.35235i | −1.12898 | − | 0.495674i | ||||
\(357\) | 1.69508 | + | 5.85795i | 0.0897129 | + | 0.310036i | ||||
\(358\) | 26.3038 | + | 56.8880i | 1.39020 | + | 3.00662i | ||||
\(359\) | 10.9698 | + | 6.05286i | 0.578962 | + | 0.319458i | 0.745424 | − | 0.666590i | \(-0.232247\pi\) |
−0.166463 | + | 0.986048i | \(0.553235\pi\) | |||||||
\(360\) | 6.22628 | + | 22.2845i | 0.328154 | + | 1.17450i | ||||
\(361\) | −17.8523 | + | 46.2387i | −0.939597 | + | 2.43362i | ||||
\(362\) | −34.7523 | − | 10.1599i | −1.82654 | − | 0.533990i | ||||
\(363\) | −15.0443 | + | 0.834666i | −0.789623 | + | 0.0438086i | ||||
\(364\) | −22.1927 | + | 0.286932i | −1.16322 | + | 0.0150393i | ||||
\(365\) | 16.2953 | − | 0.210683i | 0.852934 | − | 0.0110277i | ||||
\(366\) | 25.4613 | + | 38.9453i | 1.33089 | + | 2.03570i | ||||
\(367\) | 11.0237 | + | 3.22278i | 0.575433 | + | 0.168228i | 0.555417 | − | 0.831572i | \(-0.312559\pi\) |
0.0200153 | + | 0.999800i | \(0.493628\pi\) | |||||||
\(368\) | −0.352636 | + | 0.913349i | −0.0183824 | + | 0.0476116i | ||||
\(369\) | −8.84942 | − | 6.05698i | −0.460682 | − | 0.315314i | ||||
\(370\) | −40.1042 | − | 22.1286i | −2.08492 | − | 1.15041i | ||||
\(371\) | −3.50000 | − | 7.56955i | −0.181711 | − | 0.392991i | ||||
\(372\) | 57.7218 | + | 14.2435i | 2.99274 | + | 0.738493i | ||||
\(373\) | 6.59075 | + | 2.89364i | 0.341256 | + | 0.149827i | 0.565593 | − | 0.824684i | \(-0.308647\pi\) |
−0.224337 | + | 0.974512i | \(0.572022\pi\) | |||||||
\(374\) | 1.79012 | + | 2.53905i | 0.0925649 | + | 0.131291i | ||||
\(375\) | −20.6352 | + | 4.13219i | −1.06560 | + | 0.213385i | ||||
\(376\) | 11.9654 | − | 38.1643i | 0.617068 | − | 1.96817i | ||||
\(377\) | −1.63579 | − | 1.07588i | −0.0842477 | − | 0.0554106i | ||||
\(378\) | 13.4480 | − | 49.1974i | 0.691690 | − | 2.53044i | ||||
\(379\) | 31.7671 | − | 20.8936i | 1.63177 | − | 1.07323i | 0.697544 | − | 0.716542i | \(-0.254276\pi\) |
0.934223 | − | 0.356689i | \(-0.116094\pi\) | |||||||
\(380\) | −15.9125 | − | 55.7654i | −0.816292 | − | 2.86070i | ||||
\(381\) | 3.90427 | + | 1.94269i | 0.200022 | + | 0.0995272i | ||||
\(382\) | 2.61425 | − | 3.32832i | 0.133757 | − | 0.170291i | ||||
\(383\) | −6.24872 | − | 1.14351i | −0.319295 | − | 0.0584309i | 0.0179766 | − | 0.999838i | \(-0.494278\pi\) |
−0.337271 | + | 0.941408i | \(0.609504\pi\) | |||||||
\(384\) | 19.4343 | − | 30.2136i | 0.991753 | − | 1.54183i | ||||
\(385\) | 10.9456 | − | 4.30749i | 0.557838 | − | 0.219530i | ||||
\(386\) | −7.93949 | + | 3.60894i | −0.404110 | + | 0.183690i | ||||
\(387\) | 9.12860 | + | 5.57796i | 0.464033 | + | 0.283544i | ||||
\(388\) | −3.89091 | + | 15.1054i | −0.197531 | + | 0.766862i | ||||
\(389\) | 15.9718 | + | 14.8746i | 0.809800 | + | 0.754173i | 0.972600 | − | 0.232486i | \(-0.0746861\pi\) |
−0.162799 | + | 0.986659i | \(0.552052\pi\) | |||||||
\(390\) | 10.6048 | + | 4.12803i | 0.536997 | + | 0.209031i | ||||
\(391\) | 0.242433 | − | 0.263713i | 0.0122604 | − | 0.0133365i | ||||
\(392\) | 28.0575 | + | 28.9793i | 1.41712 | + | 1.46368i | ||||
\(393\) | 3.03982 | − | 7.38247i | 0.153339 | − | 0.372396i | ||||
\(394\) | −19.1734 | + | 3.50872i | −0.965940 | + | 0.176767i | ||||
\(395\) | −6.94063 | + | 13.1765i | −0.349221 | + | 0.662979i | ||||
\(396\) | −1.10658 | − | 16.8449i | −0.0556076 | − | 0.846487i | ||||
\(397\) | −3.30193 | − | 24.1744i | −0.165719 | − | 1.21328i | −0.866233 | − | 0.499640i | \(-0.833465\pi\) |
0.700514 | − | 0.713639i | \(-0.252954\pi\) | |||||||
\(398\) | −51.4696 | + | 27.5378i | −2.57994 | + | 1.38035i | ||||
\(399\) | −15.2206 | + | 56.9130i | −0.761985 | + | 2.84922i | ||||
\(400\) | −2.68542 | − | 2.02633i | −0.134271 | − | 0.101316i | ||||
\(401\) | −29.0795 | + | 9.74031i | −1.45216 | + | 0.486408i | −0.930356 | − | 0.366658i | \(-0.880502\pi\) |
−0.521804 | + | 0.853065i | \(0.674741\pi\) | |||||||
\(402\) | −0.806258 | + | 51.4075i | −0.0402125 | + | 2.56397i | ||||
\(403\) | 10.4347 | − | 8.52833i | 0.519790 | − | 0.424826i | ||||
\(404\) | −5.02030 | + | 28.4715i | −0.249769 | + | 1.41651i | ||||
\(405\) | −10.2956 | + | 13.5160i | −0.511593 | + | 0.671615i | ||||
\(406\) | 2.29119 | + | 12.9940i | 0.113710 | + | 0.644881i | ||||
\(407\) | 11.6694 | + | 10.0517i | 0.578431 | + | 0.498246i | ||||
\(408\) | 4.92123 | − | 3.54514i | 0.243637 | − | 0.175511i | ||||
\(409\) | −28.4776 | − | 11.2070i | −1.40813 | − | 0.554150i | −0.464622 | − | 0.885509i | \(-0.653810\pi\) |
−0.943505 | + | 0.331359i | \(0.892493\pi\) | |||||||
\(410\) | −16.1035 | + | 0.833511i | −0.795295 | + | 0.0411642i | ||||
\(411\) | −9.99830 | + | 11.2458i | −0.493180 | + | 0.554715i | ||||
\(412\) | −6.12355 | − | 18.6819i | −0.301686 | − | 0.920389i | ||||
\(413\) | −10.8081 | + | 49.8957i | −0.531831 | + | 2.45521i | ||||
\(414\) | −2.88012 | + | 0.824813i | −0.141550 | + | 0.0405373i | ||||
\(415\) | −0.364522 | + | 2.66878i | −0.0178937 | + | 0.131005i | ||||
\(416\) | −1.30448 | − | 3.51320i | −0.0639573 | − | 0.172249i | ||||
\(417\) | 3.67691 | − | 5.11445i | 0.180059 | − | 0.250455i | ||||
\(418\) | 2.13226 | + | 29.9364i | 0.104292 | + | 1.46424i | ||||
\(419\) | −1.25712 | + | 27.7631i | −0.0614142 | + | 1.35632i | 0.702816 | + | 0.711372i | \(0.251926\pi\) |
−0.764230 | + | 0.644944i | \(0.776881\pi\) | |||||||
\(420\) | −18.7177 | − | 46.1783i | −0.913330 | − | 2.25327i | ||||
\(421\) | 3.73727 | − | 2.82003i | 0.182143 | − | 0.137440i | −0.507326 | − | 0.861754i | \(-0.669366\pi\) |
0.689470 | + | 0.724314i | \(0.257844\pi\) | |||||||
\(422\) | −9.13163 | + | 13.3142i | −0.444521 | + | 0.648127i | ||||
\(423\) | 27.6535 | − | 9.89291i | 1.34456 | − | 0.481010i | ||||
\(424\) | −5.92155 | + | 5.80782i | −0.287576 | + | 0.282053i | ||||
\(425\) | 0.642785 | + | 1.04969i | 0.0311797 | + | 0.0509175i | ||||
\(426\) | 33.5373 | − | 14.8731i | 1.62489 | − | 0.720604i | ||||
\(427\) | −29.4551 | − | 35.5677i | −1.42543 | − | 1.72124i | ||||
\(428\) | 0.204576 | + | 6.32732i | 0.00988855 | + | 0.305842i | ||||
\(429\) | −3.20479 | − | 2.09083i | −0.154729 | − | 0.100946i | ||||
\(430\) | 16.0002 | − | 1.66078i | 0.771598 | − | 0.0800898i | ||||
\(431\) | 13.4705 | − | 3.19256i | 0.648850 | − | 0.153780i | 0.107004 | − | 0.994259i | \(-0.465874\pi\) |
0.541845 | + | 0.840478i | \(0.317726\pi\) | |||||||
\(432\) | −12.1379 | + | 0.921484i | −0.583987 | + | 0.0443349i | ||||
\(433\) | 27.8624 | + | 6.60350i | 1.33898 | + | 0.317344i | 0.836843 | − | 0.547443i | \(-0.184399\pi\) |
0.502138 | + | 0.864788i | \(0.332547\pi\) | |||||||
\(434\) | −90.0616 | − | 11.7088i | −4.32309 | − | 0.562040i | ||||
\(435\) | 0.914606 | − | 4.29932i | 0.0438520 | − | 0.206137i | ||||
\(436\) | 1.15430 | − | 13.7038i | 0.0552812 | − | 0.656291i | ||||
\(437\) | 3.32156 | − | 0.971059i | 0.158892 | − | 0.0464520i | ||||
\(438\) | −6.52805 | + | 35.1258i | −0.311922 | + | 1.67838i | ||||
\(439\) | 1.77361 | − | 0.469098i | 0.0846496 | − | 0.0223888i | −0.213126 | − | 0.977025i | \(-0.568364\pi\) |
0.297775 | + | 0.954636i | \(0.403755\pi\) | |||||||
\(440\) | −7.69224 | − | 8.81433i | −0.366713 | − | 0.420207i | ||||
\(441\) | −4.54883 | + | 29.2684i | −0.216611 | + | 1.39373i | ||||
\(442\) | 0.0578451 | − | 2.98248i | 0.00275141 | − | 0.141862i | ||||
\(443\) | −0.0384768 | + | 0.348725i | −0.00182809 | + | 0.0165684i | −0.994848 | − | 0.101382i | \(-0.967674\pi\) |
0.993019 | + | 0.117950i | \(0.0376324\pi\) | |||||||
\(444\) | 42.0748 | − | 49.8633i | 1.99678 | − | 2.36641i | ||||
\(445\) | −9.16674 | − | 7.49201i | −0.434545 | − | 0.355155i | ||||
\(446\) | 11.6771 | − | 10.0583i | 0.552924 | − | 0.476274i | ||||
\(447\) | 4.49515 | − | 18.7364i | 0.212613 | − | 0.886203i | ||||
\(448\) | −19.7146 | + | 39.8960i | −0.931429 | + | 1.88491i | ||||
\(449\) | 27.2031 | − | 31.1712i | 1.28379 | − | 1.47106i | 0.478617 | − | 0.878024i | \(-0.341138\pi\) |
0.805175 | − | 0.593038i | \(-0.202072\pi\) | |||||||
\(450\) | −0.00984254 | − | 10.2942i | −0.000463982 | − | 0.485273i | ||||
\(451\) | 5.35695 | + | 0.837811i | 0.252249 | + | 0.0394510i | ||||
\(452\) | 50.3639 | − | 35.0231i | 2.36892 | − | 1.64735i | ||||
\(453\) | 22.1547 | − | 5.03553i | 1.04092 | − | 0.236590i | ||||
\(454\) | −19.1866 | − | 38.8274i | −0.900471 | − | 1.82226i | ||||
\(455\) | −10.9191 | − | 2.88798i | −0.511897 | − | 0.135391i | ||||
\(456\) | 58.4001 | − | 4.75727i | 2.73484 | − | 0.222779i | ||||
\(457\) | 21.9851 | + | 11.3996i | 1.02842 | + | 0.533250i | 0.889443 | − | 0.457046i | \(-0.151092\pi\) |
0.138975 | + | 0.990296i | \(0.455619\pi\) | |||||||
\(458\) | −1.79572 | − | 2.41207i | −0.0839085 | − | 0.112709i | ||||
\(459\) | 4.25597 | + | 1.31256i | 0.198652 | + | 0.0612653i | ||||
\(460\) | −1.74782 | + | 2.34774i | −0.0814928 | + | 0.109464i | ||||
\(461\) | −13.2833 | + | 6.45747i | −0.618667 | + | 0.300754i | −0.719867 | − | 0.694112i | \(-0.755797\pi\) |
0.101201 | + | 0.994866i | \(0.467732\pi\) | |||||||
\(462\) | 4.57212 | + | 25.3788i | 0.212714 | + | 1.18073i | ||||
\(463\) | −32.9696 | + | 6.91885i | −1.53223 | + | 0.321546i | −0.893917 | − | 0.448233i | \(-0.852054\pi\) |
−0.638310 | + | 0.769779i | \(0.720366\pi\) | |||||||
\(464\) | 2.73737 | − | 1.55692i | 0.127079 | − | 0.0722781i | ||||
\(465\) | 26.3543 | + | 14.8602i | 1.22215 | + | 0.689126i | ||||
\(466\) | −9.73644 | − | 47.9355i | −0.451032 | − | 2.22057i | ||||
\(467\) | 31.4167 | − | 2.44190i | 1.45379 | − | 0.112998i | 0.673858 | − | 0.738860i | \(-0.264636\pi\) |
0.779933 | + | 0.625863i | \(0.215253\pi\) | |||||||
\(468\) | −8.71837 | + | 13.6652i | −0.403007 | + | 0.631673i | ||||
\(469\) | −4.94009 | − | 50.7885i | −0.228112 | − | 2.34520i | ||||
\(470\) | 24.0288 | − | 37.0535i | 1.10836 | − | 1.70915i | ||||
\(471\) | 27.8175 | + | 19.1916i | 1.28176 | + | 0.884304i | ||||
\(472\) | 50.3521 | − | 6.54622i | 2.31765 | − | 0.301314i | ||||
\(473\) | −5.38008 | − | 0.558438i | −0.247376 | − | 0.0256770i | ||||
\(474\) | −25.3565 | − | 20.5675i | −1.16466 | − | 0.944698i | ||||
\(475\) | 0.0768646 | + | 11.8907i | 0.00352679 | + | 0.545582i | ||||
\(476\) | −9.67252 | + | 8.77734i | −0.443339 | + | 0.402309i | ||||
\(477\) | −6.02433 | − | 0.896444i | −0.275835 | − | 0.0410453i | ||||
\(478\) | −3.83613 | − | 7.28272i | −0.175461 | − | 0.333104i | ||||
\(479\) | −22.6189 | − | 28.7971i | −1.03348 | − | 1.31577i | −0.947598 | − | 0.319466i | \(-0.896497\pi\) |
−0.0858850 | − | 0.996305i | \(-0.527372\pi\) | |||||||
\(480\) | 6.28235 | − | 5.59620i | 0.286749 | − | 0.255430i | ||||
\(481\) | −3.31745 | − | 14.4120i | −0.151263 | − | 0.657129i | ||||
\(482\) | 3.68134 | − | 6.01177i | 0.167681 | − | 0.273829i | ||||
\(483\) | 2.74839 | − | 1.13476i | 0.125056 | − | 0.0516332i | ||||
\(484\) | −15.7732 | − | 28.1544i | −0.716965 | − | 1.27975i | ||||
\(485\) | −3.96896 | + | 6.87444i | −0.180221 | + | 0.312152i | ||||
\(486\) | −24.6492 | − | 27.9264i | −1.11811 | − | 1.26677i | ||||
\(487\) | 12.7342 | + | 22.0563i | 0.577043 | + | 0.999468i | 0.995816 | + | 0.0913772i | \(0.0291269\pi\) |
−0.418773 | + | 0.908091i | \(0.637540\pi\) | |||||||
\(488\) | −23.4774 | + | 39.4766i | −1.06277 | + | 1.78702i | ||||
\(489\) | 1.63063 | + | 7.39512i | 0.0737397 | + | 0.334419i | ||||
\(490\) | 21.2646 | + | 39.1343i | 0.960635 | + | 1.76791i | ||||
\(491\) | −26.4752 | + | 24.6566i | −1.19481 | + | 1.11274i | −0.203791 | + | 0.979014i | \(0.565326\pi\) |
−0.991019 | + | 0.133721i | \(0.957307\pi\) | |||||||
\(492\) | 3.31798 | − | 22.7274i | 0.149586 | − | 1.02463i | ||||
\(493\) | −1.14057 | + | 0.163306i | −0.0513689 | + | 0.00735492i | ||||
\(494\) | 15.3659 | − | 24.3797i | 0.691346 | − | 1.09689i | ||||
\(495\) | 1.75633 | − | 8.40922i | 0.0789411 | − | 0.377966i | ||||
\(496\) | 4.58893 | + | 21.1849i | 0.206049 | + | 0.951229i | ||||
\(497\) | −31.4155 | + | 18.4096i | −1.40918 | + | 0.825781i | ||||
\(498\) | −5.58182 | − | 1.92706i | −0.250127 | − | 0.0863537i | ||||
\(499\) | −16.2458 | + | 22.4213i | −0.727261 | + | 1.00372i | 0.271882 | + | 0.962331i | \(0.412354\pi\) |
−0.999143 | + | 0.0413847i | \(0.986823\pi\) | |||||||
\(500\) | −27.3816 | − | 35.8041i | −1.22454 | − | 1.60121i | ||||
\(501\) | 5.21194 | + | 7.33453i | 0.232853 | + | 0.327682i | ||||
\(502\) | 1.18264 | + | 2.31736i | 0.0527838 | + | 0.103429i | ||||
\(503\) | 14.9782 | − | 10.7058i | 0.667846 | − | 0.477348i | −0.196330 | − | 0.980538i | \(-0.562902\pi\) |
0.864176 | + | 0.503190i | \(0.167841\pi\) | |||||||
\(504\) | 49.4542 | − | 9.42988i | 2.20286 | − | 0.420040i | ||||
\(505\) | −6.34672 | + | 13.2730i | −0.282425 | + | 0.590642i | ||||
\(506\) | 1.13482 | − | 1.00335i | 0.0504487 | − | 0.0446042i | ||||
\(507\) | −6.62429 | − | 17.6396i | −0.294195 | − | 0.783401i | ||||
\(508\) | −0.0603766 | + | 9.34004i | −0.00267878 | + | 0.414397i | ||||
\(509\) | 29.3612 | + | 32.7790i | 1.30141 | + | 1.45290i | 0.815336 | + | 0.578989i | \(0.196553\pi\) |
0.486078 | + | 0.873915i | \(0.338427\pi\) | |||||||
\(510\) | 6.28460 | − | 2.31385i | 0.278287 | − | 0.102459i | ||||
\(511\) | 2.51925 | − | 35.3697i | 0.111445 | − | 1.56466i | ||||
\(512\) | 24.9992 | + | 2.92198i | 1.10482 | + | 0.129135i | ||||
\(513\) | 28.6498 | + | 32.1007i | 1.26492 | + | 1.41728i | ||||
\(514\) | −38.1678 | + | 4.46117i | −1.68351 | + | 0.196774i | ||||
\(515\) | −0.452551 | − | 9.99446i | −0.0199418 | − | 0.440409i | ||||
\(516\) | −2.13360 | + | 22.8134i | −0.0939263 | + | 1.00430i | ||||
\(517\) | −10.4664 | + | 10.5342i | −0.460310 | + | 0.463295i | ||||
\(518\) | −55.3033 | + | 82.9121i | −2.42989 | + | 3.64295i | ||||
\(519\) | 11.0955 | − | 14.6206i | 0.487040 | − | 0.641771i | ||||
\(520\) | 0.942876 | + | 11.1937i | 0.0413478 | + | 0.490876i | ||||
\(521\) | −1.44477 | − | 3.74204i | −0.0632963 | − | 0.163942i | 0.897627 | − | 0.440755i | \(-0.145289\pi\) |
−0.960924 | + | 0.276814i | \(0.910721\pi\) | |||||||
\(522\) | 8.85191 | + | 3.80831i | 0.387437 | + | 0.166685i | ||||
\(523\) | 2.08202 | + | 6.08493i | 0.0910404 | + | 0.266076i | 0.982268 | − | 0.187480i | \(-0.0600320\pi\) |
−0.891228 | + | 0.453555i | \(0.850155\pi\) | |||||||
\(524\) | 17.0642 | − | 1.10460i | 0.745451 | − | 0.0482546i | ||||
\(525\) | 1.15817 | + | 10.1511i | 0.0505467 | + | 0.443033i | ||||
\(526\) | 8.81962 | + | 46.4953i | 0.384554 | + | 2.02729i | ||||
\(527\) | 1.27609 | − | 7.82748i | 0.0555871 | − | 0.340971i | ||||
\(528\) | 5.33863 | − | 3.06268i | 0.232334 | − | 0.133286i | ||||
\(529\) | 18.3965 | + | 13.5117i | 0.799846 | + | 0.587466i | ||||
\(530\) | −8.01868 | + | 4.42452i | −0.348309 | + | 0.192189i | ||||
\(531\) | 26.1335 | + | 26.5944i | 1.13410 | + | 1.15410i | ||||
\(532\) | −123.816 | + | 24.3167i | −5.36811 | + | 1.05426i | ||||
\(533\) | −3.66951 | − | 3.69330i | −0.158944 | − | 0.159975i | ||||
\(534\) | 20.0352 | − | 16.4993i | 0.867010 | − | 0.713992i | ||||
\(535\) | −0.763198 | + | 3.12988i | −0.0329959 | + | 0.135317i | ||||
\(536\) | −45.9268 | + | 21.5970i | −1.98374 | + | 0.932849i | ||||
\(537\) | −45.4024 | − | 1.59314i | −1.95926 | − | 0.0687490i | ||||
\(538\) | 32.4082 | − | 42.3768i | 1.39722 | − | 1.82699i | ||||
\(539\) | −4.29520 | − | 14.3470i | −0.185007 | − | 0.617967i | ||||
\(540\) | −35.6960 | − | 7.07715i | −1.53611 | − | 0.304552i | ||||
\(541\) | −2.38081 | + | 7.95245i | −0.102359 | + | 0.341902i | −0.993793 | − | 0.111249i | \(-0.964515\pi\) |
0.891434 | + | 0.453151i | \(0.149700\pi\) | |||||||
\(542\) | −9.23227 | − | 12.7417i | −0.396560 | − | 0.547305i | ||||
\(543\) | 17.9394 | − | 19.1566i | 0.769854 | − | 0.822087i | ||||
\(544\) | −1.94458 | − | 1.04041i | −0.0833733 | − | 0.0446073i | ||||
\(545\) | 2.43605 | − | 6.56073i | 0.104349 | − | 0.281031i | ||||
\(546\) | 10.8871 | − | 22.2394i | 0.465926 | − | 0.951758i | ||||
\(547\) | 9.53958 | − | 0.246717i | 0.407883 | − | 0.0105489i | 0.178631 | − | 0.983916i | \(-0.442833\pi\) |
0.229252 | + | 0.973367i | \(0.426372\pi\) | |||||||
\(548\) | −31.0490 | − | 8.64307i | −1.32635 | − | 0.369214i | ||||
\(549\) | −33.5204 | + | 3.73094i | −1.43062 | + | 0.159233i | ||||
\(550\) | 2.24531 | + | 4.69567i | 0.0957404 | + | 0.200224i | ||||
\(551\) | −10.2490 | − | 4.34262i | −0.436622 | − | 0.185002i | ||||
\(552\) | −1.98129 | − | 2.19548i | −0.0843294 | − | 0.0934458i | ||||
\(553\) | 27.3015 | + | 17.4550i | 1.16098 | + | 0.742264i | ||||
\(554\) | 15.1916 | − | 10.2755i | 0.645430 | − | 0.436563i | ||||
\(555\) | 27.4321 | − | 18.7035i | 1.16443 | − | 0.793920i | ||||
\(556\) | 13.3012 | + | 2.25680i | 0.564096 | + | 0.0957097i | ||||
\(557\) | −18.1956 | + | 7.43373i | −0.770974 | + | 0.314977i | −0.729336 | − | 0.684155i | \(-0.760171\pi\) |
−0.0416375 | + | 0.999133i | \(0.513257\pi\) | |||||||
\(558\) | −43.2405 | + | 50.2966i | −1.83051 | + | 2.12922i | ||||
\(559\) | 3.84621 | + | 3.49025i | 0.162677 | + | 0.147622i | ||||
\(560\) | 12.1210 | − | 13.5319i | 0.512205 | − | 0.571828i | ||||
\(561\) | −2.22795 | + | 0.327435i | −0.0940641 | + | 0.0138243i | ||||
\(562\) | −32.7321 | + | 64.1378i | −1.38072 | + | 2.70549i | ||||
\(563\) | −0.328497 | − | 2.19317i | −0.0138445 | − | 0.0924313i | 0.980965 | − | 0.194183i | \(-0.0622055\pi\) |
−0.994810 | + | 0.101752i | \(0.967555\pi\) | |||||||
\(564\) | 45.0727 | + | 43.8801i | 1.89790 | + | 1.84769i | ||||
\(565\) | 29.4705 | − | 10.2969i | 1.23983 | − | 0.433194i | ||||
\(566\) | 26.8190 | − | 22.5038i | 1.12729 | − | 0.945905i | ||||
\(567\) | 27.4249 | + | 24.7913i | 1.15174 | + | 1.04114i | ||||
\(568\) | 27.7420 | + | 23.2783i | 1.16403 | + | 0.976737i | ||||
\(569\) | −6.56594 | − | 2.48640i | −0.275258 | − | 0.104235i | 0.212655 | − | 0.977127i | \(-0.431789\pi\) |
−0.487913 | + | 0.872892i | \(0.662242\pi\) | |||||||
\(570\) | 63.5307 | + | 12.2324i | 2.66101 | + | 0.512359i | ||||
\(571\) | −2.12922 | + | 10.4828i | −0.0891050 | + | 0.438691i | 0.910574 | + | 0.413347i | \(0.135640\pi\) |
−0.999679 | + | 0.0253442i | \(0.991932\pi\) | |||||||
\(572\) | 1.00406 | − | 8.13397i | 0.0419820 | − | 0.340098i | ||||
\(573\) | 1.29783 | + | 2.77974i | 0.0542176 | + | 0.116125i | ||||
\(574\) | −1.13381 | + | 35.0676i | −0.0473244 | + | 1.46370i | ||||
\(575\) | 0.474356 | − | 0.367654i | 0.0197820 | − | 0.0153322i | ||||
\(576\) | 16.4588 | + | 28.0252i | 0.685783 | + | 1.16771i | ||||
\(577\) | −8.19791 | − | 13.0069i | −0.341284 | − | 0.541483i | 0.630852 | − | 0.775903i | \(-0.282706\pi\) |
−0.972135 | + | 0.234420i | \(0.924681\pi\) | |||||||
\(578\) | 25.1746 | + | 29.6110i | 1.04712 | + | 1.23166i | ||||
\(579\) | 0.262521 | − | 6.31620i | 0.0109100 | − | 0.262492i | ||||
\(580\) | 9.13182 | − | 2.28936i | 0.379178 | − | 0.0950606i | ||||
\(581\) | 5.71984 | + | 1.27776i | 0.237299 | + | 0.0530104i | ||||
\(582\) | −13.0800 | − | 11.4785i | −0.542184 | − | 0.475799i | ||||
\(583\) | 2.94437 | − | 0.902265i | 0.121943 | − | 0.0373680i | ||||
\(584\) | −33.9752 | + | 9.45764i | −1.40590 | + | 0.391360i | ||||
\(585\) | −6.13907 | + | 5.50956i | −0.253819 | + | 0.227792i | ||||
\(586\) | −6.54813 | + | 67.3207i | −0.270501 | + | 2.78099i | ||||
\(587\) | 0.287488 | + | 0.228830i | 0.0118659 | + | 0.00944482i | 0.628683 | − | 0.777662i | \(-0.283594\pi\) |
−0.616817 | + | 0.787107i | \(0.711578\pi\) | |||||||
\(588\) | −60.5867 | + | 18.8122i | −2.49855 | + | 0.775803i | ||||
\(589\) | 49.6267 | − | 58.3723i | 2.04483 | − | 2.40519i | ||||
\(590\) | 55.4995 | + | 7.94634i | 2.28488 | + | 0.327145i | ||||
\(591\) | 4.00193 | − | 13.5501i | 0.164617 | − | 0.557378i | ||||
\(592\) | 23.0730 | + | 5.78445i | 0.948296 | + | 0.237739i | ||||
\(593\) | −3.79345 | − | 1.90514i | −0.155778 | − | 0.0782348i | 0.369202 | − | 0.929349i | \(-0.379631\pi\) |
−0.524980 | + | 0.851114i | \(0.675927\pi\) | |||||||
\(594\) | 17.3277 | + | 7.37875i | 0.710966 | + | 0.302754i | ||||
\(595\) | −5.93980 | + | 2.98308i | −0.243508 | + | 0.122294i | ||||
\(596\) | 40.2761 | − | 8.99730i | 1.64977 | − | 0.368544i | ||||
\(597\) | −0.977444 | − | 42.3011i | −0.0400041 | − | 1.73127i | ||||
\(598\) | −1.44854 | + | 0.131450i | −0.0592352 | + | 0.00537538i | ||||
\(599\) | −1.55831 | − | 14.1234i | −0.0636708 | − | 0.577065i | −0.983004 | − | 0.183585i | \(-0.941230\pi\) |
0.919333 | − | 0.393480i | \(-0.128729\pi\) | |||||||
\(600\) | 9.12238 | − | 4.47661i | 0.372419 | − | 0.182757i | ||||
\(601\) | 6.81288 | + | 0.618245i | 0.277903 | + | 0.0252187i | 0.228443 | − | 0.973557i | \(-0.426637\pi\) |
0.0494605 | + | 0.998776i | \(0.484250\pi\) | |||||||
\(602\) | −0.678722 | − | 34.9948i | −0.0276627 | − | 1.42628i | ||||
\(603\) | −32.9896 | − | 17.3368i | −1.34344 | − | 0.706010i | ||||
\(604\) | 30.5503 | + | 37.8765i | 1.24307 | + | 1.54117i | ||||
\(605\) | −3.89057 | − | 15.9553i | −0.158174 | − | 0.648675i | ||||
\(606\) | −25.8186 | − | 19.3320i | −1.04881 | − | 0.785308i | ||||
\(607\) | 9.78907 | − | 17.4730i | 0.397326 | − | 0.709208i | −0.598436 | − | 0.801170i | \(-0.704211\pi\) |
0.995762 | + | 0.0919623i | \(0.0293139\pi\) | |||||||
\(608\) | −10.8905 | − | 18.3120i | −0.441668 | − | 0.742651i | ||||
\(609\) | −9.15471 | − | 2.76824i | −0.370968 | − | 0.112175i | ||||
\(610\) | −36.6630 | + | 35.0405i | −1.48444 | + | 1.41875i | ||||
\(611\) | 14.0876 | − | 2.20326i | 0.569924 | − | 0.0891345i | ||||
\(612\) | 1.48299 | + | 9.42319i | 0.0599464 | + | 0.380910i | ||||
\(613\) | 11.7424 | − | 7.08655i | 0.474269 | − | 0.286223i | −0.259350 | − | 0.965783i | \(-0.583508\pi\) |
0.733620 | + | 0.679560i | \(0.237829\pi\) | |||||||
\(614\) | −26.6368 | + | 37.7808i | −1.07497 | + | 1.52471i | ||||
\(615\) | 4.72826 | − | 10.6893i | 0.190662 | − | 0.431035i | ||||
\(616\) | −20.5160 | + | 15.0684i | −0.826612 | + | 0.607125i | ||||
\(617\) | −14.3557 | + | 31.0474i | −0.577937 | + | 1.24992i | 0.369277 | + | 0.929319i | \(0.379605\pi\) |
−0.947214 | + | 0.320602i | \(0.896115\pi\) | |||||||
\(618\) | 21.6824 | + | 3.30870i | 0.872194 | + | 0.133095i | ||||
\(619\) | 10.9668 | + | 11.9294i | 0.440792 | + | 0.479483i | 0.916451 | − | 0.400148i | \(-0.131041\pi\) |
−0.475658 | + | 0.879630i | \(0.657790\pi\) | |||||||
\(620\) | −3.76784 | + | 64.6914i | −0.151320 | + | 2.59807i | ||||
\(621\) | 0.408546 | − | 2.13282i | 0.0163944 | − | 0.0855873i | ||||
\(622\) | −3.68311 | − | 63.2365i | −0.147679 | − | 2.53555i | ||||
\(623\) | −17.9182 | + | 18.5069i | −0.717879 | + | 0.741465i | ||||
\(624\) | −5.87240 | − | 0.664309i | −0.235084 | − | 0.0265936i | ||||
\(625\) | −5.86513 | − | 14.6255i | −0.234605 | − | 0.585019i | ||||
\(626\) | −19.0456 | − | 53.3988i | −0.761215 | − | 2.13425i | ||||
\(627\) | −20.0621 | − | 8.41289i | −0.801202 | − | 0.335978i | ||||
\(628\) | −10.7221 | + | 71.5852i | −0.427860 | + | 2.85656i | ||||
\(629\) | −7.08046 | − | 5.06081i | −0.282317 | − | 0.201788i | ||||
\(630\) | 55.3981 | + | 4.61300i | 2.20711 | + | 0.183786i | ||||
\(631\) | −0.494127 | − | 0.484637i | −0.0196709 | − | 0.0192931i | 0.690315 | − | 0.723509i | \(-0.257472\pi\) |
−0.709986 | + | 0.704215i | \(0.751299\pi\) | |||||||
\(632\) | 7.22957 | − | 31.4073i | 0.287577 | − | 1.24932i | ||||
\(633\) | −5.62548 | − | 10.2619i | −0.223593 | − | 0.407875i | ||||
\(634\) | 7.89051 | + | 25.1672i | 0.313372 | + | 0.999519i | ||||
\(635\) | −1.30424 | + | 4.57072i | −0.0517571 | + | 0.181383i | ||||
\(636\) | −3.94877 | − | 12.4331i | −0.156579 | − | 0.493003i | ||||
\(637\) | −4.83087 | + | 13.5445i | −0.191406 | + | 0.536652i | ||||
\(638\) | −4.86860 | + | 0.188924i | −0.192750 | + | 0.00747956i | ||||
\(639\) | −1.34921 | + | 26.5588i | −0.0533741 | + | 1.05065i | ||||
\(640\) | 36.2473 | + | 14.8087i | 1.43280 | + | 0.585364i | ||||
\(641\) | 39.9694 | + | 24.8322i | 1.57870 | + | 0.980812i | 0.984272 | + | 0.176661i | \(0.0565297\pi\) |
0.594425 | + | 0.804151i | \(0.297380\pi\) | |||||||
\(642\) | −6.40243 | − | 2.98177i | −0.252684 | − | 0.117681i | ||||
\(643\) | −14.3837 | + | 6.09453i | −0.567236 | + | 0.240345i | −0.654785 | − | 0.755815i | \(-0.727241\pi\) |
0.0875485 | + | 0.996160i | \(0.472097\pi\) | |||||||
\(644\) | 4.77113 | + | 4.21839i | 0.188009 | + | 0.166228i | ||||
\(645\) | −4.15935 | + | 10.8931i | −0.163774 | + | 0.428915i | ||||
\(646\) | −2.72878 | − | 16.7383i | −0.107362 | − | 0.658559i | ||||
\(647\) | 33.6011 | − | 12.2298i | 1.32099 | − | 0.480803i | 0.417218 | − | 0.908807i | \(-0.363005\pi\) |
0.903777 | + | 0.428004i | \(0.140783\pi\) | |||||||
\(648\) | 14.0608 | − | 33.9741i | 0.552359 | − | 1.33463i | ||||
\(649\) | −17.7152 | − | 6.44779i | −0.695381 | − | 0.253098i | ||||
\(650\) | 0.931411 | − | 4.91021i | 0.0365329 | − | 0.192594i | ||||
\(651\) | 37.0329 | − | 54.4271i | 1.45143 | − | 2.13317i | ||||
\(652\) | −12.6902 | + | 10.1010i | −0.496987 | + | 0.395584i | ||||
\(653\) | −1.89758 | − | 2.92615i | −0.0742580 | − | 0.114509i | 0.799938 | − | 0.600083i | \(-0.204866\pi\) |
−0.874196 | + | 0.485574i | \(0.838611\pi\) | |||||||
\(654\) | 13.0622 | + | 8.04829i | 0.510774 | + | 0.314713i | ||||
\(655\) | 8.51645 | + | 1.78722i | 0.332765 | + | 0.0698326i | ||||
\(656\) | 7.97420 | − | 2.55683i | 0.311340 | − | 0.0998273i | ||||
\(657\) | −20.5861 | − | 15.7123i | −0.803140 | − | 0.612995i | ||||
\(658\) | −75.9505 | − | 58.8661i | −2.96086 | − | 2.29484i | ||||
\(659\) | −15.4711 | + | 18.6816i | −0.602667 | + | 0.727733i | −0.980144 | − | 0.198286i | \(-0.936463\pi\) |
0.377477 | + | 0.926019i | \(0.376792\pi\) | |||||||
\(660\) | 17.8306 | − | 4.54054i | 0.694055 | − | 0.176740i | ||||
\(661\) | −11.6313 | − | 5.65435i | −0.452405 | − | 0.219929i | 0.196952 | − | 0.980413i | \(-0.436896\pi\) |
−0.649356 | + | 0.760484i | \(0.724962\pi\) | |||||||
\(662\) | 45.3004 | − | 23.4889i | 1.76065 | − | 0.912923i | ||||
\(663\) | 1.91032 | + | 1.01298i | 0.0741906 | + | 0.0393409i | ||||
\(664\) | −0.714119 | − | 5.78512i | −0.0277132 | − | 0.224506i | ||||
\(665\) | −64.0193 | − | 4.97597i | −2.48256 | − | 0.192960i | ||||
\(666\) | 28.4613 | + | 66.9928i | 1.10285 | + | 2.59592i | ||||
\(667\) | 0.140136 | + | 0.544042i | 0.00542609 | + | 0.0210654i | ||||
\(668\) | −9.20106 | + | 16.9332i | −0.356000 | + | 0.655165i | ||||
\(669\) | 2.68675 | + | 10.8434i | 0.103876 | + | 0.419232i | ||||
\(670\) | −55.2488 | + | 9.37403i | −2.13445 | + | 0.362150i | ||||
\(671\) | 14.4851 | − | 8.99928i | 0.559190 | − | 0.347413i | ||||
\(672\) | −10.9863 | − | 14.6434i | −0.423804 | − | 0.564880i | ||||
\(673\) | −4.61635 | + | 10.3325i | −0.177947 | + | 0.398290i | −0.980009 | − | 0.198951i | \(-0.936247\pi\) |
0.802062 | + | 0.597241i | \(0.203736\pi\) | |||||||
\(674\) | 18.0941 | + | 19.1787i | 0.696960 | + | 0.738734i | ||||
\(675\) | 6.66211 | + | 3.36085i | 0.256425 | + | 0.129359i | ||||
\(676\) | 27.6946 | − | 29.3546i | 1.06518 | − | 1.12902i | ||||
\(677\) | 13.9617 | + | 33.5532i | 0.536594 | + | 1.28955i | 0.929108 | + | 0.369808i | \(0.120576\pi\) |
−0.392515 | + | 0.919746i | \(0.628395\pi\) | |||||||
\(678\) | 9.51339 | + | 67.7741i | 0.365360 | + | 2.60285i | ||||
\(679\) | 14.1802 | + | 9.86095i | 0.544187 | + | 0.378429i | ||||
\(680\) | 4.77906 | + | 4.56756i | 0.183268 | + | 0.175158i | ||||
\(681\) | 31.3917 | + | 0.289384i | 1.20293 | + | 0.0110892i | ||||
\(682\) | 8.78455 | − | 32.3656i | 0.336378 | − | 1.23934i | ||||
\(683\) | −7.99236 | + | 23.3586i | −0.305819 | + | 0.893790i | 0.681045 | + | 0.732241i | \(0.261526\pi\) |
−0.986865 | + | 0.161549i | \(0.948351\pi\) | |||||||
\(684\) | −34.7712 | + | 85.3429i | −1.32951 | + | 3.26317i | ||||
\(685\) | −14.0422 | − | 8.47453i | −0.536526 | − | 0.323795i | ||||
\(686\) | 25.8229 | − | 11.3374i | 0.985922 | − | 0.432865i | ||||
\(687\) | 2.14764 | − | 0.372592i | 0.0819377 | − | 0.0142153i | ||||
\(688\) | −7.81249 | + | 2.95844i | −0.297848 | + | 0.112790i | ||||
\(689\) | −2.79149 | − | 0.975338i | −0.106347 | − | 0.0371574i | ||||
\(690\) | −1.45746 | − | 2.92208i | −0.0554845 | − | 0.111242i | ||||
\(691\) | 1.77329 | + | 2.65856i | 0.0674590 | + | 0.101136i | 0.864109 | − | 0.503304i | \(-0.167882\pi\) |
−0.796650 | + | 0.604440i | \(0.793397\pi\) | |||||||
\(692\) | 38.5742 | + | 7.57572i | 1.46637 | + | 0.287986i | ||||
\(693\) | −17.9120 | − | 5.34385i | −0.680421 | − | 0.202996i | ||||
\(694\) | 4.66505 | − | 5.78376i | 0.177083 | − | 0.219549i | ||||
\(695\) | 6.21291 | + | 2.92161i | 0.235669 | + | 0.110823i | ||||
\(696\) | 0.465526 | + | 9.50081i | 0.0176457 | + | 0.360127i | ||||
\(697\) | −3.05749 | − | 0.197917i | −0.115811 | − | 0.00749665i | ||||
\(698\) | −3.84155 | − | 14.1537i | −0.145405 | − | 0.535726i | ||||
\(699\) | 34.1922 | + | 9.38150i | 1.29327 | + | 0.354841i | ||||
\(700\) | −18.4369 | + | 11.7875i | −0.696848 | + | 0.445526i | ||||
\(701\) | −7.76594 | + | 18.0035i | −0.293315 | + | 0.679982i | −0.999610 | − | 0.0279367i | \(-0.991106\pi\) |
0.706294 | + | 0.707918i | \(0.250366\pi\) | |||||||
\(702\) | −9.21576 | − | 15.5596i | −0.347826 | − | 0.587259i | ||||
\(703\) | −33.3016 | − | 77.2018i | −1.25599 | − | 2.91172i | ||||
\(704\) | −13.6115 | − | 9.20671i | −0.513003 | − | 0.346991i | ||||
\(705\) | 16.1086 | + | 27.6633i | 0.606684 | + | 1.04186i | ||||
\(706\) | 12.7421 | − | 38.8739i | 0.479556 | − | 1.46304i | ||||
\(707\) | 27.6193 | + | 16.1850i | 1.03873 | + | 0.608698i | ||||
\(708\) | −26.5485 | + | 75.3170i | −0.997753 | + | 2.83058i | ||||
\(709\) | −30.0696 | − | 10.0720i | −1.12929 | − | 0.378260i | −0.309484 | − | 0.950905i | \(-0.600156\pi\) |
−0.819804 | + | 0.572644i | \(0.805918\pi\) | |||||||
\(710\) | 22.6171 | + | 32.9766i | 0.848805 | + | 1.23759i | ||||
\(711\) | 21.5983 | − | 9.67446i | 0.810001 | − | 0.362821i | ||||
\(712\) | 23.3236 | + | 10.6019i | 0.874089 | + | 0.397322i | ||||
\(713\) | −3.86179 | − | 0.199885i | −0.144625 | − | 0.00748575i | ||||
\(714\) | −3.86909 | − | 14.0488i | −0.144797 | − | 0.525763i | ||||
\(715\) | 1.60229 | − | 3.85065i | 0.0599222 | − | 0.144006i | ||||
\(716\) | −39.6918 | − | 88.8399i | −1.48335 | − | 3.32010i | ||||
\(717\) | 5.96567 | − | 0.0992691i | 0.222792 | − | 0.00370727i | ||||
\(718\) | −26.0231 | − | 14.8010i | −0.971174 | − | 0.552368i | ||||
\(719\) | −10.1615 | − | 3.25814i | −0.378959 | − | 0.121508i | 0.109741 | − | 0.993960i | \(-0.464998\pi\) |
−0.488700 | + | 0.872452i | \(0.662529\pi\) | |||||||
\(720\) | −3.40479 | − | 12.8235i | −0.126889 | − | 0.477904i | ||||
\(721\) | −21.7525 | − | 0.844097i | −0.810107 | − | 0.0314358i | ||||
\(722\) | 44.0831 | − | 109.927i | 1.64060 | − | 4.09106i | ||||
\(723\) | 2.68460 | + | 4.34774i | 0.0998413 | + | 0.161694i | ||||
\(724\) | 53.7450 | + | 16.4695i | 1.99742 | + | 0.612084i | ||||
\(725\) | −1.92975 | − | 0.0499083i | −0.0716693 | − | 0.00185355i | ||||
\(726\) | 35.9713 | − | 1.52953i | 1.33502 | − | 0.0567662i | ||||
\(727\) | −12.2485 | − | 0.158362i | −0.454273 | − | 0.00587333i | −0.214546 | − | 0.976714i | \(-0.568827\pi\) |
−0.239726 | + | 0.970840i | \(0.577058\pi\) | |||||||
\(728\) | 24.4423 | 0.905890 | ||||||||
\(729\) | 26.1271 | − | 6.80988i | 0.967670 | − | 0.252218i | ||||
\(730\) | −38.9409 | −1.44127 | ||||||||
\(731\) | 3.05624 | + | 0.0395144i | 0.113039 | + | 0.00146149i | ||||
\(732\) | −38.7441 | − | 60.9690i | −1.43202 | − | 2.25348i | ||||
\(733\) | 26.4494 | + | 0.684048i | 0.976931 | + | 0.0252659i | 0.511023 | − | 0.859567i | \(-0.329267\pi\) |
0.465908 | + | 0.884833i | \(0.345728\pi\) | |||||||
\(734\) | −26.2394 | − | 8.04075i | −0.968516 | − | 0.296790i | ||||
\(735\) | −32.2699 | + | 0.954399i | −1.19029 | + | 0.0352036i | ||||
\(736\) | −0.400247 | + | 0.998068i | −0.0147533 | + | 0.0367893i | ||||
\(737\) | 18.8288 | + | 0.730644i | 0.693568 | + | 0.0269136i | ||||
\(738\) | 20.9569 | + | 14.7453i | 0.771432 | + | 0.542784i | ||||
\(739\) | 10.5533 | + | 3.38379i | 0.388211 | + | 0.124475i | 0.493021 | − | 0.870018i | \(-0.335893\pi\) |
−0.104810 | + | 0.994492i | \(0.533424\pi\) | |||||||
\(740\) | 61.8129 | + | 35.1569i | 2.27229 | + | 1.29239i | ||||
\(741\) | 10.7440 | + | 17.9141i | 0.394692 | + | 0.658092i | ||||
\(742\) | 8.12873 | + | 18.1941i | 0.298415 | + | 0.667926i | ||||
\(743\) | 4.48777 | − | 10.7851i | 0.164640 | − | 0.395667i | −0.819495 | − | 0.573086i | \(-0.805746\pi\) |
0.984135 | + | 0.177419i | \(0.0567748\pi\) | |||||||
\(744\) | −63.3592 | − | 16.5065i | −2.32286 | − | 0.605157i | ||||
\(745\) | 20.9732 | + | 1.08556i | 0.768399 | + | 0.0397720i | ||||
\(746\) | −15.6579 | − | 7.11740i | −0.573277 | − | 0.260586i | ||||
\(747\) | 3.07234 | − | 2.98030i | 0.112411 | − | 0.109044i | ||||
\(748\) | −2.72799 | − | 3.97751i | −0.0997452 | − | 0.145432i | ||||
\(749\) | 6.64680 | + | 2.22638i | 0.242869 | + | 0.0813500i | ||||
\(750\) | 49.4314 | − | 9.23561i | 1.80498 | − | 0.337237i | ||||
\(751\) | 28.2948 | + | 16.5808i | 1.03249 | + | 0.605042i | 0.921339 | − | 0.388761i | \(-0.127097\pi\) |
0.111154 | + | 0.993803i | \(0.464545\pi\) | |||||||
\(752\) | −7.14356 | + | 21.7937i | −0.260499 | + | 0.794735i | ||||
\(753\) | −1.88584 | + | 0.00699679i | −0.0687238 | + | 0.000254977i | ||||
\(754\) | 3.87518 | + | 2.62113i | 0.141126 | + | 0.0954561i | ||||
\(755\) | 9.80828 | + | 22.7381i | 0.356960 | + | 0.827526i | ||||
\(756\) | −21.8638 | + | 76.1032i | −0.795181 | + | 2.76785i | ||||
\(757\) | 4.75528 | − | 11.0240i | 0.172834 | − | 0.400673i | −0.809678 | − | 0.586874i | \(-0.800358\pi\) |
0.982512 | + | 0.186201i | \(0.0596175\pi\) | |||||||
\(758\) | −76.5468 | + | 48.9398i | −2.78031 | + | 1.77757i | ||||
\(759\) | 0.277826 | + | 1.06226i | 0.0100845 | + | 0.0385575i | ||||
\(760\) | 16.7285 | + | 61.6342i | 0.606808 | + | 2.23571i | ||||
\(761\) | −51.4216 | − | 3.32862i | −1.86403 | − | 0.120663i | −0.908931 | − | 0.416946i | \(-0.863101\pi\) |
−0.955100 | + | 0.296283i | \(0.904253\pi\) | |||||||
\(762\) | −9.26849 | − | 4.76230i | −0.335762 | − | 0.172520i | ||||
\(763\) | −13.7800 | − | 6.48003i | −0.498870 | − | 0.234593i | ||||
\(764\) | −4.12512 | + | 5.11435i | −0.149242 | + | 0.185031i | ||||
\(765\) | −0.558950 | + | 4.82210i | −0.0202089 | + | 0.174343i | ||||
\(766\) | 14.8948 | + | 2.92524i | 0.538170 | + | 0.105693i | ||||
\(767\) | 10.0447 | + | 15.0593i | 0.362694 | + | 0.543761i | ||||
\(768\) | −26.6593 | + | 40.2913i | −0.961983 | + | 1.45389i | ||||
\(769\) | −10.8732 | − | 3.79906i | −0.392098 | − | 0.136998i | 0.126603 | − | 0.991953i | \(-0.459592\pi\) |
−0.518701 | + | 0.854956i | \(0.673584\pi\) | |||||||
\(770\) | −26.2854 | + | 9.95378i | −0.947259 | + | 0.358709i | ||||
\(771\) | 9.59886 | − | 26.1484i | 0.345694 | − | 0.941710i | ||||
\(772\) | 12.3976 | − | 5.44311i | 0.446198 | − | 0.195902i | ||||
\(773\) | 24.2814 | + | 14.6539i | 0.873342 | + | 0.527064i | 0.881113 | − | 0.472905i | \(-0.156795\pi\) |
−0.00777143 | + | 0.999970i | \(0.502474\pi\) | |||||||
\(774\) | −21.6387 | − | 13.6095i | −0.777787 | − | 0.489182i | ||||
\(775\) | 4.30154 | − | 12.5717i | 0.154516 | − | 0.451589i | ||||
\(776\) | 4.49964 | − | 16.5784i | 0.161528 | − | 0.595129i | ||||
\(777\) | −35.5428 | − | 62.8938i | −1.27509 | − | 2.25630i | ||||
\(778\) | −37.7019 | − | 36.0334i | −1.35168 | − | 1.29186i | ||||
\(779\) | −24.3009 | − | 16.8989i | −0.870670 | − | 0.605466i | ||||
\(780\) | −16.3799 | − | 6.62112i | −0.586495 | − | 0.237074i | ||||
\(781\) | −5.16555 | − | 12.4140i | −0.184838 | − | 0.444206i | ||||
\(782\) | −0.587394 | + | 0.622601i | −0.0210052 | + | 0.0222642i | ||||
\(783\) | −5.35887 | + | 4.48024i | −0.191511 | + | 0.160111i | ||||
\(784\) | −15.8726 | − | 16.8240i | −0.566879 | − | 0.600857i | ||||
\(785\) | −15.0258 | + | 33.6314i | −0.536293 | + | 1.20036i | ||||
\(786\) | −7.49112 | + | 17.5451i | −0.267199 | + | 0.625812i | ||||
\(787\) | 10.2802 | − | 6.38689i | 0.366450 | − | 0.227668i | −0.332076 | − | 0.943253i | \(-0.607749\pi\) |
0.698526 | + | 0.715585i | \(0.253840\pi\) | |||||||
\(788\) | 29.8348 | − | 5.06205i | 1.06282 | − | 0.180328i | ||||
\(789\) | −32.9607 | − | 9.50348i | −1.17343 | − | 0.338333i | ||||
\(790\) | 16.9903 | − | 31.2682i | 0.604488 | − | 1.11247i | ||||
\(791\) | −16.9434 | − | 65.7782i | −0.602436 | − | 2.33880i | ||||
\(792\) | 0.978715 | + | 18.5650i | 0.0347771 | + | 0.659678i | ||||
\(793\) | −16.3252 | − | 1.26890i | −0.579725 | − | 0.0450598i | ||||
\(794\) | 7.14254 | + | 57.8621i | 0.253479 | + | 2.05345i | ||||
\(795\) | −0.239141 | − | 6.63420i | −0.00848145 | − | 0.235291i | ||||
\(796\) | 80.4533 | − | 41.7162i | 2.85159 | − | 1.47859i | ||||
\(797\) | 40.2396 | + | 19.5618i | 1.42536 | + | 0.692915i | 0.979361 | − | 0.202117i | \(-0.0647823\pi\) |
0.446000 | + | 0.895033i | \(0.352848\pi\) | |||||||
\(798\) | 38.1249 | − | 135.512i | 1.34961 | − | 4.79709i | ||||
\(799\) | 5.35213 | − | 6.46280i | 0.189345 | − | 0.228637i | ||||
\(800\) | −2.92045 | − | 2.26352i | −0.103254 | − | 0.0800276i | ||||
\(801\) | 4.11918 | + | 18.3568i | 0.145544 | + | 0.648607i | ||||
\(802\) | 69.7807 | − | 22.3743i | 2.46404 | − | 0.790063i | ||||
\(803\) | 12.8148 | + | 2.68925i | 0.452224 | + | 0.0949017i | ||||
\(804\) | 2.28341 | − | 79.7879i | 0.0805298 | − | 2.81390i | ||||
\(805\) | 1.76336 | + | 2.71918i | 0.0621502 | + | 0.0958386i | ||||
\(806\) | −25.1952 | + | 20.0544i | −0.887462 | + | 0.706387i | ||||
\(807\) | 16.8111 | + | 34.8249i | 0.591779 | + | 1.22589i | ||||
\(808\) | 5.93360 | − | 31.2807i | 0.208743 | − | 1.10045i | ||||
\(809\) | −31.8951 | − | 11.6089i | −1.12137 | − | 0.408146i | −0.286219 | − | 0.958164i | \(-0.592398\pi\) |
−0.835152 | + | 0.550019i | \(0.814621\pi\) | |||||||
\(810\) | 25.0169 | − | 31.9758i | 0.879004 | − | 1.12351i | ||||
\(811\) | −7.18153 | + | 2.61386i | −0.252178 | + | 0.0917852i | −0.465016 | − | 0.885302i | \(-0.653951\pi\) |
0.212838 | + | 0.977087i | \(0.431729\pi\) | |||||||
\(812\) | −3.29600 | − | 20.2176i | −0.115667 | − | 0.709500i | ||||
\(813\) | 11.2620 | − | 1.80417i | 0.394974 | − | 0.0632749i | ||||
\(814\) | −27.5713 | − | 24.3771i | −0.966373 | − | 0.854418i | ||||
\(815\) | −7.59986 | + | 3.22015i | −0.266212 | + | 0.112797i | ||||
\(816\) | −2.84798 | + | 1.99621i | −0.0996993 | + | 0.0698813i | ||||
\(817\) | 25.0813 | + | 15.5825i | 0.877483 | + | 0.545162i | ||||
\(818\) | 67.6955 | + | 27.6567i | 2.36692 | + | 0.966992i | ||||
\(819\) | 10.8246 | + | 14.3169i | 0.378241 | + | 0.500273i | ||||
\(820\) | 25.0155 | − | 0.970716i | 0.873580 | − | 0.0338989i | ||||
\(821\) | −1.87042 | + | 5.24418i | −0.0652783 | + | 0.183023i | −0.970067 | − | 0.242838i | \(-0.921922\pi\) |
0.904789 | + | 0.425861i | \(0.140029\pi\) | |||||||
\(822\) | 24.2364 | − | 26.5608i | 0.845341 | − | 0.926416i | ||||
\(823\) | 1.61081 | − | 5.64510i | 0.0561493 | − | 0.196776i | −0.928496 | − | 0.371342i | \(-0.878898\pi\) |
0.984645 | + | 0.174567i | \(0.0558524\pi\) | |||||||
\(824\) | 6.47715 | + | 20.6592i | 0.225642 | + | 0.719699i | ||||
\(825\) | −3.77187 | − | 0.0835476i | −0.131320 | − | 0.00290875i | ||||
\(826\) | 27.3652 | − | 118.882i | 0.952156 | − | 4.13644i | ||||
\(827\) | −35.9120 | − | 35.2223i | −1.24878 | − | 1.22480i | −0.963909 | − | 0.266234i | \(-0.914221\pi\) |
−0.284875 | − | 0.958565i | \(-0.591952\pi\) | |||||||
\(828\) | 4.48761 | − | 1.22262i | 0.155955 | − | 0.0424889i | ||||
\(829\) | 26.1879 | + | 18.7180i | 0.909543 | + | 0.650103i | 0.936928 | − | 0.349522i | \(-0.113656\pi\) |
−0.0273846 | + | 0.999625i | \(0.508718\pi\) | |||||||
\(830\) | 0.953398 | − | 6.36526i | 0.0330929 | − | 0.220941i | ||||
\(831\) | 1.67762 | + | 13.1879i | 0.0581961 | + | 0.457484i | ||||
\(832\) | 5.30075 | + | 14.8619i | 0.183770 | + | 0.515244i | ||||
\(833\) | 3.14987 | + | 7.85461i | 0.109136 | + | 0.272146i | ||||
\(834\) | −8.94325 | + | 12.1064i | −0.309680 | + | 0.419210i | ||||
\(835\) | −6.82170 | + | 7.04582i | −0.236075 | + | 0.243831i | ||||
\(836\) | −2.70923 | − | 46.5156i | −0.0937005 | − | 1.60878i | ||||
\(837\) | −18.3909 | − | 44.4224i | −0.635682 | − | 1.53546i | ||||
\(838\) | 3.86128 | − | 66.2957i | 0.133386 | − | 2.29015i | ||||
\(839\) | −32.2430 | − | 35.0731i | −1.11315 | − | 1.21086i | −0.975412 | − | 0.220388i | \(-0.929268\pi\) |
−0.137738 | − | 0.990469i | \(-0.543983\pi\) | |||||||
\(840\) | 19.9541 | + | 51.1171i | 0.688481 | + | 1.76371i | ||||
\(841\) | −11.4125 | + | 24.6822i | −0.393535 | + | 0.851111i | ||||
\(842\) | −9.01660 | + | 6.62245i | −0.310733 | + | 0.228225i | ||||
\(843\) | −30.7815 | − | 42.1524i | −1.06017 | − | 1.45181i | ||||
\(844\) | 14.4430 | − | 20.4855i | 0.497149 | − | 0.705141i | ||||
\(845\) | 17.5833 | − | 10.6116i | 0.604885 | − | 0.365050i | ||||
\(846\) | −66.3783 | + | 22.7829i | −2.28213 | + | 0.783293i | ||||
\(847\) | −35.3046 | + | 5.52154i | −1.21308 | + | 0.189722i | ||||
\(848\) | 3.43832 | − | 3.28615i | 0.118072 | − | 0.112847i | ||||
\(849\) | 5.78432 | + | 24.7090i | 0.198517 | + | 0.848012i | ||||
\(850\) | −1.50338 | − | 2.52789i | −0.0515656 | − | 0.0867059i | ||||
\(851\) | −2.07408 | + | 3.70214i | −0.0710986 | + | 0.126908i | ||||
\(852\) | −52.3612 | + | 22.4156i | −1.79387 | + | 0.767946i | ||||
\(853\) | −9.18371 | − | 37.6625i | −0.314444 | − | 1.28954i | −0.883961 | − | 0.467560i | \(-0.845133\pi\) |
0.569517 | − | 0.821979i | \(-0.307130\pi\) | |||||||
\(854\) | 69.2786 | + | 85.8919i | 2.37066 | + | 2.93916i | ||||
\(855\) | −28.6934 | + | 37.0941i | −0.981293 | + | 1.26859i | ||||
\(856\) | −0.135191 | − | 6.97042i | −0.00462074 | − | 0.238244i | ||||
\(857\) | 36.5747 | + | 3.31903i | 1.24937 | + | 0.113376i | 0.695070 | − | 0.718942i | \(-0.255373\pi\) |
0.554299 | + | 0.832318i | \(0.312986\pi\) | |||||||
\(858\) | 7.59264 | + | 5.09464i | 0.259208 | + | 0.173928i | ||||
\(859\) | −1.28070 | − | 11.6073i | −0.0436969 | − | 0.396036i | −0.995892 | − | 0.0905465i | \(-0.971139\pi\) |
0.952195 | − | 0.305490i | \(-0.0988202\pi\) | |||||||
\(860\) | −24.8717 | + | 2.25702i | −0.848120 | + | 0.0769638i | ||||
\(861\) | −22.3129 | − | 12.2040i | −0.760422 | − | 0.415910i | ||||
\(862\) | −32.2837 | + | 7.21188i | −1.09959 | + | 0.245638i | ||||
\(863\) | −25.8890 | + | 13.0019i | −0.881271 | + | 0.442591i | −0.831083 | − | 0.556149i | \(-0.812278\pi\) |
−0.0501882 | + | 0.998740i | \(0.515982\pi\) | |||||||
\(864\) | −13.3434 | + | 0.839659i | −0.453953 | + | 0.0285658i | ||||
\(865\) | 17.8771 | + | 8.97822i | 0.607840 | + | 0.305269i | ||||
\(866\) | −66.3677 | − | 16.6385i | −2.25527 | − | 0.565399i | ||||
\(867\) | −27.3887 | + | 6.59866i | −0.930169 | + | 0.224102i | ||||
\(868\) | 139.575 | + | 19.9841i | 4.73748 | + | 0.678306i | ||||
\(869\) | −7.75060 | + | 9.11647i | −0.262921 | + | 0.309255i | ||||
\(870\) | −2.31809 | + | 10.2441i | −0.0785905 | + | 0.347309i | ||||
\(871\) | −14.1563 | − | 11.2679i | −0.479666 | − | 0.381797i | ||||
\(872\) | −1.46620 | + | 15.0738i | −0.0496518 | + | 0.510465i | ||||
\(873\) | 11.7034 | − | 4.70631i | 0.396100 | − | 0.159285i | ||||
\(874\) | −7.96622 | + | 2.21755i | −0.269461 | + | 0.0750097i | ||||
\(875\) | −47.7194 | + | 14.6230i | −1.61321 | + | 0.494348i | ||||
\(876\) | 10.8390 | − | 54.3977i | 0.366217 | − | 1.83793i | ||||
\(877\) | −23.2029 | − | 5.18331i | −0.783506 | − | 0.175028i | −0.192071 | − | 0.981381i | \(-0.561521\pi\) |
−0.591435 | + | 0.806353i | \(0.701438\pi\) | |||||||
\(878\) | −4.25218 | + | 1.06603i | −0.143504 | + | 0.0359767i | ||||
\(879\) | −41.4051 | − | 26.2562i | −1.39656 | − | 0.885599i | ||||
\(880\) | 4.34518 | + | 5.11093i | 0.146476 | + | 0.172289i | ||||
\(881\) | −16.6013 | − | 26.3397i | −0.559312 | − | 0.887408i | 0.440635 | − | 0.897686i | \(-0.354753\pi\) |
−0.999947 | + | 0.0102777i | \(0.996728\pi\) | |||||||
\(882\) | 11.7727 | − | 69.7906i | 0.396407 | − | 2.34997i | ||||
\(883\) | −24.3981 | + | 18.9100i | −0.821063 | + | 0.636372i | −0.934017 | − | 0.357228i | \(-0.883722\pi\) |
0.112954 | + | 0.993600i | \(0.463969\pi\) | |||||||
\(884\) | −0.149659 | + | 4.62879i | −0.00503357 | + | 0.155683i | ||||
\(885\) | −23.2939 | + | 33.3010i | −0.783017 | + | 1.11940i | ||||
\(886\) | 0.102705 | − | 0.832022i | 0.00345046 | − | 0.0279523i | ||||
\(887\) | −5.36764 | + | 26.4265i | −0.180228 | + | 0.887315i | 0.783698 | + | 0.621142i | \(0.213331\pi\) |
−0.963925 | + | 0.266172i | \(0.914241\pi\) | |||||||
\(888\) | −47.0418 | + | 54.3094i | −1.57862 | + | 1.82250i | ||||
\(889\) | 9.67198 | + | 3.66260i | 0.324388 | + | 0.122840i | ||||
\(890\) | 21.6707 | + | 18.1839i | 0.726404 | + | 0.609525i | ||||
\(891\) | −10.4409 | + | 8.79501i | −0.349783 | + | 0.294644i | ||||
\(892\) | −18.3291 | + | 15.3800i | −0.613705 | + | 0.514959i | ||||
\(893\) | 76.5281 | − | 26.7387i | 2.56092 | − | 0.894776i | ||||
\(894\) | −11.3191 | + | 44.6282i | −0.378567 | + | 1.49259i | ||||
\(895\) | −7.33487 | − | 48.9705i | −0.245178 | − | 1.63690i | ||||
\(896\) | 38.7279 | − | 75.8865i | 1.29381 | − | 2.53519i | ||||
\(897\) | 0.388785 | − | 0.979996i | 0.0129812 | − | 0.0327211i | ||||
\(898\) | −65.9593 | + | 73.6373i | −2.20109 | + | 2.45731i | ||||
\(899\) | 9.21099 | + | 8.35853i | 0.307204 | + | 0.278772i | ||||
\(900\) | −0.191334 | + | 15.9807i | −0.00637781 | + | 0.532691i | ||||
\(901\) | −1.61091 | + | 0.658128i | −0.0536671 | + | 0.0219254i | ||||
\(902\) | −12.7735 | − | 2.16727i | −0.425311 | − | 0.0721622i | ||||
\(903\) | 22.8586 | + | 11.0077i | 0.760688 | + | 0.366313i | ||||
\(904\) | −55.9582 | + | 37.8497i | −1.86114 | + | 1.25886i | ||||
\(905\) | 24.1009 | + | 15.4088i | 0.801141 | + | 0.512205i | ||||
\(906\) | −53.0899 | + | 11.3470i | −1.76379 | + | 0.376979i | ||||
\(907\) | −16.6742 | − | 7.06506i | −0.553658 | − | 0.234592i | 0.0952568 | − | 0.995453i | \(-0.469633\pi\) |
−0.648915 | + | 0.760861i | \(0.724777\pi\) | |||||||
\(908\) | 29.0056 | + | 60.6601i | 0.962585 | + | 2.01308i | ||||
\(909\) | 20.9503 | − | 10.3775i | 0.694876 | − | 0.344200i | ||||
\(910\) | 26.0000 | + | 7.23758i | 0.861890 | + | 0.239924i | ||||
\(911\) | −4.11167 | + | 0.106338i | −0.136226 | + | 0.00352313i | −0.0939066 | − | 0.995581i | \(-0.529935\pi\) |
−0.0423190 | + | 0.999104i | \(0.513475\pi\) | |||||||
\(912\) | −33.5204 | + | 2.29476i | −1.10997 | + | 0.0759871i | ||||
\(913\) | −0.753331 | + | 2.02886i | −0.0249316 | + | 0.0671454i | ||||
\(914\) | −52.1769 | − | 27.9162i | −1.72586 | − | 0.923387i | ||||
\(915\) | −10.6738 | − | 35.1775i | −0.352865 | − | 1.16293i | ||||
\(916\) | 2.73923 | + | 3.78050i | 0.0905068 | + | 0.124911i | ||||
\(917\) | 5.43042 | − | 18.1389i | 0.179328 | − | 0.598998i | ||||
\(918\) | −10.1283 | − | 3.26759i | −0.334283 | − | 0.107847i | ||||
\(919\) | −2.81548 | − | 9.40436i | −0.0928741 | − | 0.310221i | 0.898912 | − | 0.438129i | \(-0.144359\pi\) |
−0.991786 | + | 0.127908i | \(0.959174\pi\) | |||||||
\(920\) | 1.95809 | − | 2.56039i | 0.0645564 | − | 0.0844137i | ||||
\(921\) | −15.7260 | − | 29.5882i | −0.518188 | − | 0.974966i | ||||
\(922\) | 31.9374 | − | 15.0185i | 1.05180 | − | 0.494609i | ||||
\(923\) | −3.05857 | + | 12.5432i | −0.100674 | + | 0.412866i | ||||
\(924\) | −6.58830 | − | 39.4894i | −0.216739 | − | 1.29910i | ||||
\(925\) | −10.2771 | − | 10.3437i | −0.337909 | − | 0.340100i | ||||
\(926\) | 78.9882 | − | 15.5128i | 2.59571 | − | 0.509781i | ||||
\(927\) | −9.23253 | + | 12.9432i | −0.303236 | + | 0.425109i | ||||
\(928\) | 3.02840 | − | 1.67100i | 0.0994120 | − | 0.0548532i | ||||
\(929\) | 9.09534 | + | 6.68029i | 0.298408 | + | 0.219173i | 0.730933 | − | 0.682449i | \(-0.239085\pi\) |
−0.432525 | + | 0.901622i | \(0.642377\pi\) | |||||||
\(930\) | −62.5094 | − | 36.3197i | −2.04976 | − | 1.19097i | ||||
\(931\) | −13.1545 | + | 80.6894i | −0.431121 | + | 2.64449i | ||||
\(932\) | 14.1526 | + | 74.6096i | 0.463583 | + | 2.44392i | ||||
\(933\) | 42.1098 | + | 18.3021i | 1.37861 | + | 0.599184i | ||||
\(934\) | −75.1395 | + | 4.86393i | −2.45864 | + | 0.159153i | ||||
\(935\) | −0.794585 | − | 2.32226i | −0.0259857 | − | 0.0759461i | ||||
\(936\) | 9.79503 | − | 14.9237i | 0.320161 | − | 0.487796i | ||||
\(937\) | 17.3373 | + | 44.9047i | 0.566384 | + | 1.46697i | 0.859621 | + | 0.510932i | \(0.170699\pi\) |
−0.293238 | + | 0.956040i | \(0.594733\pi\) | |||||||
\(938\) | 10.2344 | + | 121.502i | 0.334166 | + | 3.96718i | ||||
\(939\) | 40.7712 | + | 5.14687i | 1.33052 | + | 0.167962i | ||||
\(940\) | −38.0455 | + | 57.0389i | −1.24091 | + | 1.86040i | ||||
\(941\) | −40.2298 | + | 40.4907i | −1.31145 | + | 1.31996i | −0.395611 | + | 0.918418i | \(0.629467\pi\) |
−0.915842 | + | 0.401539i | \(0.868475\pi\) | |||||||
\(942\) | −65.8717 | − | 46.7140i | −2.14622 | − | 1.52202i | ||||
\(943\) | 0.0675753 | + | 1.49238i | 0.00220055 | + | 0.0485986i | ||||
\(944\) | −28.9191 | + | 3.38016i | −0.941237 | + | 0.110015i | ||||
\(945\) | −21.1046 | + | 34.3258i | −0.686532 | + | 1.11662i | ||||
\(946\) | 12.8374 | + | 1.50048i | 0.417380 | + | 0.0487847i | ||||
\(947\) | −0.0544594 | + | 0.764599i | −0.00176969 | + | 0.0248461i | −0.998281 | − | 0.0586175i | \(-0.981331\pi\) |
0.996511 | + | 0.0834637i | \(0.0265982\pi\) | |||||||
\(948\) | 38.9502 | + | 32.4376i | 1.26504 | + | 1.05352i | ||||
\(949\) | −8.38873 | − | 9.36522i | −0.272310 | − | 0.304008i | ||||
\(950\) | 0.183668 | − | 28.4129i | 0.00595899 | − | 0.921835i | ||||
\(951\) | −18.8606 | − | 3.12812i | −0.611597 | − | 0.101436i | ||||
\(952\) | 10.7761 | − | 9.52771i | 0.349257 | − | 0.308795i | ||||
\(953\) | 4.81651 | − | 10.0729i | 0.156022 | − | 0.326292i | −0.809282 | − | 0.587420i | \(-0.800144\pi\) |
0.965304 | + | 0.261128i | \(0.0840943\pi\) | |||||||
\(954\) | 14.3663 | + | 2.32798i | 0.465125 | + | 0.0753711i | ||||
\(955\) | −2.72030 | + | 1.94435i | −0.0880268 | + | 0.0629178i | ||||
\(956\) | 5.80897 | + | 11.3826i | 0.187876 | + | 0.368138i | ||||
\(957\) | 1.47030 | − | 3.21109i | 0.0475281 | − | 0.103800i | ||||
\(958\) | 53.1538 | + | 69.5037i | 1.71732 | + | 2.24556i | ||||
\(959\) | −20.9389 | + | 28.8985i | −0.676154 | + | 0.933181i | ||||
\(960\) | −26.7539 | + | 23.2186i | −0.863479 | + | 0.749377i | ||||
\(961\) | −47.1194 | + | 27.6120i | −1.51998 | + | 0.890710i | ||||
\(962\) | 7.48120 | + | 34.5371i | 0.241204 | + | 1.11352i | ||||
\(963\) | 4.02301 | − | 3.16613i | 0.129640 | − | 0.102027i | ||||
\(964\) | −5.83552 | + | 9.25867i | −0.187949 | + | 0.298202i | ||||
\(965\) | 6.82073 | − | 0.976582i | 0.219567 | − | 0.0314373i | ||||
\(966\) | −6.60179 | + | 2.62638i | −0.212409 | + | 0.0845024i | ||||
\(967\) | −44.3989 | + | 41.3490i | −1.42777 | + | 1.32969i | −0.564035 | + | 0.825751i | \(0.690752\pi\) |
−0.863737 | + | 0.503943i | \(0.831882\pi\) | |||||||
\(968\) | 16.9683 | + | 31.2276i | 0.545382 | + | 1.00369i | ||||
\(969\) | 11.7199 | + | 3.70993i | 0.376496 | + | 0.119180i | ||||
\(970\) | 9.69542 | − | 16.3025i | 0.311301 | − | 0.523443i | ||||
\(971\) | 15.0702 | + | 26.1023i | 0.483625 | + | 0.837664i | 0.999823 | − | 0.0188056i | \(-0.00598637\pi\) |
−0.516198 | + | 0.856469i | \(0.672653\pi\) | |||||||
\(972\) | 37.7045 | + | 43.8471i | 1.20937 | + | 1.40640i | ||||
\(973\) | 7.46929 | − | 12.9372i | 0.239454 | − | 0.414747i | ||||
\(974\) | −29.7446 | − | 53.0927i | −0.953079 | − | 1.70120i | ||||
\(975\) | 2.87155 | + | 2.20861i | 0.0919631 | + | 0.0707322i | ||||
\(976\) | 13.7540 | − | 22.4608i | 0.440255 | − | 0.718952i | ||||
\(977\) | −8.76785 | − | 38.0900i | −0.280508 | − | 1.21861i | −0.900799 | − | 0.434236i | \(-0.857018\pi\) |
0.620291 | − | 0.784372i | \(-0.287015\pi\) | |||||||
\(978\) | −3.66763 | − | 17.7196i | −0.117278 | − | 0.566609i | ||||
\(979\) | −5.87568 | − | 7.48058i | −0.187788 | − | 0.239080i | ||||
\(980\) | −32.2253 | − | 61.1782i | −1.02940 | − | 1.95427i | ||||
\(981\) | −9.47873 | + | 5.81683i | −0.302633 | + | 0.185717i | ||||
\(982\) | 64.0191 | − | 58.0942i | 2.04293 | − | 1.85386i | ||||
\(983\) | −0.330263 | − | 51.0905i | −0.0105338 | − | 1.62953i | −0.585020 | − | 0.811019i | \(-0.698913\pi\) |
0.574486 | − | 0.818515i | \(-0.305202\pi\) | |||||||
\(984\) | −3.97727 | + | 24.9797i | −0.126791 | + | 0.796324i | ||||
\(985\) | 15.3173 | + | 1.58990i | 0.488051 | + | 0.0506584i | ||||
\(986\) | 2.73023 | − | 0.354953i | 0.0869481 | − | 0.0113040i | ||||
\(987\) | 62.9212 | − | 29.8742i | 2.00281 | − | 0.950906i | ||||
\(988\) | −24.3431 | + | 37.5382i | −0.774458 | + | 1.19425i | ||||
\(989\) | −0.144278 | − | 1.48331i | −0.00458777 | − | 0.0471664i | ||||
\(990\) | −4.45618 | + | 20.0379i | −0.141627 | + | 0.636847i | ||||
\(991\) | −60.8599 | + | 4.73040i | −1.93328 | + | 0.150266i | −0.985615 | − | 0.169008i | \(-0.945944\pi\) |
−0.947662 | + | 0.319274i | \(0.896561\pi\) | |||||||
\(992\) | 4.73893 | + | 23.3312i | 0.150461 | + | 0.740766i | ||||
\(993\) | 0.376322 | + | 36.9861i | 0.0119422 | + | 1.17372i | ||||
\(994\) | 75.6300 | − | 43.0156i | 2.39884 | − | 1.36437i | ||||
\(995\) | 45.1352 | − | 9.47188i | 1.43088 | − | 0.300279i | ||||
\(996\) | 8.62644 | + | 3.10357i | 0.273339 | + | 0.0983404i | ||||
\(997\) | 20.8193 | − | 10.1209i | 0.659353 | − | 0.320534i | −0.0770985 | − | 0.997023i | \(-0.524566\pi\) |
0.736452 | + | 0.676490i | \(0.236500\pi\) | |||||||
\(998\) | 39.5088 | − | 53.0695i | 1.25063 | − | 1.67989i | ||||
\(999\) | −52.6445 | − | 3.50284i | −1.66560 | − | 0.110825i |
(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 | 729.2.k.a.4.8 | ✓ | 12960 | |
729.547 | even | 243 | inner | 729.2.k.a.547.8 | yes | 12960 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
729.2.k.a.4.8 | ✓ | 12960 | 1.1 | even | 1 | trivial | |
729.2.k.a.547.8 | yes | 12960 | 729.547 | even | 243 | inner |