Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [116,2,Mod(3,116)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(116, base_ring=CyclotomicField(28))
chi = DirichletCharacter(H, H._module([14, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("116.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 116 = 2^{2} \cdot 29 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 116.l (of order \(28\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.926264663447\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{28})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{28}]$ |
Embedding invariants
Embedding label | 95.7 | ||
Character | \(\chi\) | \(=\) | 116.95 |
Dual form | 116.2.l.b.11.7 |
$q$-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 \(\left(\mathbb{Z}/116\mathbb{Z}\right)^\times\).
\(n\) | \(59\) | \(89\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{28}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.490339 | + | 1.32649i | −0.346722 | + | 0.937968i | ||||
\(3\) | −2.34863 | − | 0.264627i | −1.35598 | − | 0.152782i | −0.596133 | − | 0.802885i | \(-0.703297\pi\) |
−0.759846 | + | 0.650103i | \(0.774726\pi\) | |||||||
\(4\) | −1.51913 | − | 1.30086i | −0.759567 | − | 0.650429i | ||||
\(5\) | −0.588667 | − | 1.22238i | −0.263260 | − | 0.546665i | 0.726877 | − | 0.686768i | \(-0.240971\pi\) |
−0.990137 | + | 0.140103i | \(0.955257\pi\) | |||||||
\(6\) | 1.50265 | − | 2.98566i | 0.613453 | − | 1.21889i | ||||
\(7\) | 2.56130 | − | 2.04257i | 0.968081 | − | 0.772019i | −0.00558836 | − | 0.999984i | \(-0.501779\pi\) |
0.973669 | + | 0.227966i | \(0.0732074\pi\) | |||||||
\(8\) | 2.47046 | − | 1.37725i | 0.873440 | − | 0.486931i | ||||
\(9\) | 2.52123 | + | 0.575454i | 0.840410 | + | 0.191818i | ||||
\(10\) | 1.91012 | − | 0.181478i | 0.604032 | − | 0.0573884i | ||||
\(11\) | −5.07822 | − | 3.19086i | −1.53114 | − | 0.962080i | −0.992856 | − | 0.119317i | \(-0.961930\pi\) |
−0.538285 | − | 0.842763i | \(-0.680928\pi\) | |||||||
\(12\) | 3.22364 | + | 3.45723i | 0.930584 | + | 0.998016i | ||||
\(13\) | −1.29716 | + | 0.296069i | −0.359769 | + | 0.0821149i | −0.398585 | − | 0.917131i | \(-0.630499\pi\) |
0.0388160 | + | 0.999246i | \(0.487641\pi\) | |||||||
\(14\) | 1.45353 | + | 4.39908i | 0.388473 | + | 1.17570i | ||||
\(15\) | 1.05908 | + | 3.02669i | 0.273454 | + | 0.781488i | ||||
\(16\) | 0.615539 | + | 3.95236i | 0.153885 | + | 0.988089i | ||||
\(17\) | −3.79071 | − | 3.79071i | −0.919383 | − | 0.919383i | 0.0776011 | − | 0.996984i | \(-0.475274\pi\) |
−0.996984 | + | 0.0776011i | \(0.975274\pi\) | |||||||
\(18\) | −1.99959 | + | 3.06221i | −0.471308 | + | 0.721770i | ||||
\(19\) | 0.151626 | + | 1.34572i | 0.0347854 | + | 0.308729i | 0.999042 | + | 0.0437590i | \(0.0139334\pi\) |
−0.964257 | + | 0.264970i | \(0.914638\pi\) | |||||||
\(20\) | −0.695878 | + | 2.62273i | −0.155603 | + | 0.586461i | ||||
\(21\) | −6.55605 | + | 4.11944i | −1.43065 | + | 0.898936i | ||||
\(22\) | 6.72268 | − | 5.17159i | 1.43328 | − | 1.10259i | ||||
\(23\) | 1.29280 | − | 2.68452i | 0.269567 | − | 0.559762i | −0.721611 | − | 0.692299i | \(-0.756598\pi\) |
0.991178 | + | 0.132537i | \(0.0423123\pi\) | |||||||
\(24\) | −6.16665 | + | 2.58089i | −1.25876 | + | 0.526823i | ||||
\(25\) | 1.96977 | − | 2.47001i | 0.393953 | − | 0.494002i | ||||
\(26\) | 0.243319 | − | 1.86585i | 0.0477188 | − | 0.365923i | ||||
\(27\) | 0.923422 | + | 0.323119i | 0.177713 | + | 0.0621844i | ||||
\(28\) | −6.54805 | − | 0.228950i | −1.23747 | − | 0.0432675i | ||||
\(29\) | 2.93553 | + | 4.51472i | 0.545114 | + | 0.838362i | ||||
\(30\) | −4.53417 | − | 0.0792436i | −0.827823 | − | 0.0144678i | ||||
\(31\) | −1.44988 | + | 4.14352i | −0.260406 | + | 0.744199i | 0.737240 | + | 0.675631i | \(0.236129\pi\) |
−0.997646 | + | 0.0685678i | \(0.978157\pi\) | |||||||
\(32\) | −5.54457 | − | 1.12149i | −0.980151 | − | 0.198253i | ||||
\(33\) | 11.0825 | + | 8.83796i | 1.92921 | + | 1.53849i | ||||
\(34\) | 6.88707 | − | 3.16960i | 1.18112 | − | 0.543581i | ||||
\(35\) | −4.00455 | − | 1.92849i | −0.676892 | − | 0.325974i | ||||
\(36\) | −3.08150 | − | 4.15395i | −0.513584 | − | 0.692326i | ||||
\(37\) | −3.02614 | − | 4.81608i | −0.497495 | − | 0.791759i | 0.499732 | − | 0.866180i | \(-0.333432\pi\) |
−0.997227 | + | 0.0744214i | \(0.976289\pi\) | |||||||
\(38\) | −1.85942 | − | 0.458728i | −0.301638 | − | 0.0744155i | ||||
\(39\) | 3.12490 | − | 0.352092i | 0.500385 | − | 0.0563798i | ||||
\(40\) | −3.13780 | − | 2.20910i | −0.496130 | − | 0.349290i | ||||
\(41\) | −4.55671 | + | 4.55671i | −0.711638 | + | 0.711638i | −0.966878 | − | 0.255239i | \(-0.917846\pi\) |
0.255239 | + | 0.966878i | \(0.417846\pi\) | |||||||
\(42\) | −2.24969 | − | 10.7164i | −0.347135 | − | 1.65358i | ||||
\(43\) | 6.65934 | − | 2.33020i | 1.01554 | − | 0.355353i | 0.229354 | − | 0.973343i | \(-0.426339\pi\) |
0.786186 | + | 0.617990i | \(0.212053\pi\) | |||||||
\(44\) | 3.56365 | + | 11.4534i | 0.537240 | + | 1.72666i | ||||
\(45\) | −0.780741 | − | 3.42065i | −0.116386 | − | 0.509921i | ||||
\(46\) | 2.92708 | + | 3.03121i | 0.431574 | + | 0.446927i | ||||
\(47\) | −0.260350 | + | 0.414345i | −0.0379760 | + | 0.0604384i | −0.865173 | − | 0.501474i | \(-0.832791\pi\) |
0.827197 | + | 0.561912i | \(0.189934\pi\) | |||||||
\(48\) | −0.399773 | − | 9.44549i | −0.0577023 | − | 1.36334i | ||||
\(49\) | 0.830527 | − | 3.63878i | 0.118647 | − | 0.519825i | ||||
\(50\) | 2.31058 | + | 3.82401i | 0.326765 | + | 0.540797i | ||||
\(51\) | 7.89985 | + | 9.90609i | 1.10620 | + | 1.38713i | ||||
\(52\) | 2.35571 | + | 1.23766i | 0.326678 | + | 0.171632i | ||||
\(53\) | 5.75234 | − | 2.77018i | 0.790144 | − | 0.380513i | 0.00512653 | − | 0.999987i | \(-0.498368\pi\) |
0.785018 | + | 0.619474i | \(0.212654\pi\) | |||||||
\(54\) | −0.881404 | + | 1.06647i | −0.119944 | + | 0.145128i | ||||
\(55\) | −0.911059 | + | 8.08587i | −0.122847 | + | 1.09030i | ||||
\(56\) | 3.51447 | − | 8.57364i | 0.469640 | − | 1.14570i | ||||
\(57\) | − | 3.20071i | − | 0.423944i | ||||||
\(58\) | −7.42812 | + | 1.68019i | −0.975360 | + | 0.220620i | ||||
\(59\) | 6.26790i | 0.816011i | 0.912979 | + | 0.408006i | \(0.133776\pi\) | ||||
−0.912979 | + | 0.408006i | \(0.866224\pi\) | |||||||
\(60\) | 2.32840 | − | 5.97567i | 0.300595 | − | 0.771455i | ||||
\(61\) | 1.38184 | − | 12.2642i | 0.176926 | − | 1.57026i | −0.520660 | − | 0.853764i | \(-0.674314\pi\) |
0.697586 | − | 0.716501i | \(-0.254257\pi\) | |||||||
\(62\) | −4.78539 | − | 3.95498i | −0.607746 | − | 0.502283i | ||||
\(63\) | 7.63303 | − | 3.67588i | 0.961672 | − | 0.463117i | ||||
\(64\) | 4.20636 | − | 6.80489i | 0.525795 | − | 0.850611i | ||||
\(65\) | 1.12551 | + | 1.41134i | 0.139602 | + | 0.175055i | ||||
\(66\) | −17.1576 | + | 10.3671i | −2.11195 | + | 1.27611i | ||||
\(67\) | 0.856051 | − | 3.75061i | 0.104583 | − | 0.458209i | −0.895335 | − | 0.445394i | \(-0.853064\pi\) |
0.999918 | − | 0.0128152i | \(-0.00407932\pi\) | |||||||
\(68\) | 0.827426 | + | 10.6898i | 0.100340 | + | 1.29633i | ||||
\(69\) | −3.74670 | + | 5.96283i | −0.451049 | + | 0.717841i | ||||
\(70\) | 4.52170 | − | 4.36637i | 0.540447 | − | 0.521881i | ||||
\(71\) | −2.73458 | − | 11.9810i | −0.324534 | − | 1.42188i | −0.829388 | − | 0.558673i | \(-0.811311\pi\) |
0.504853 | − | 0.863205i | \(-0.331547\pi\) | |||||||
\(72\) | 7.02115 | − | 2.05073i | 0.827450 | − | 0.241680i | ||||
\(73\) | 7.19276 | − | 2.51686i | 0.841849 | − | 0.294576i | 0.125306 | − | 0.992118i | \(-0.460009\pi\) |
0.716543 | + | 0.697543i | \(0.245723\pi\) | |||||||
\(74\) | 7.87230 | − | 1.65263i | 0.915137 | − | 0.192114i | ||||
\(75\) | −5.27987 | + | 5.27987i | −0.609667 | + | 0.609667i | ||||
\(76\) | 1.52025 | − | 2.24157i | 0.174384 | − | 0.257126i | ||||
\(77\) | −19.5244 | + | 2.19987i | −2.22501 | + | 0.250699i | ||||
\(78\) | −1.06522 | + | 4.31779i | −0.120612 | + | 0.488893i | ||||
\(79\) | 2.90584 | + | 4.62461i | 0.326932 | + | 0.520309i | 0.969234 | − | 0.246143i | \(-0.0791632\pi\) |
−0.642302 | + | 0.766452i | \(0.722020\pi\) | |||||||
\(80\) | 4.46893 | − | 3.07904i | 0.499642 | − | 0.344248i | ||||
\(81\) | −9.07317 | − | 4.36941i | −1.00813 | − | 0.485490i | ||||
\(82\) | −3.81008 | − | 8.27875i | −0.420753 | − | 0.914235i | ||||
\(83\) | −2.50734 | − | 1.99954i | −0.275216 | − | 0.219478i | 0.476148 | − | 0.879365i | \(-0.342033\pi\) |
−0.751365 | + | 0.659887i | \(0.770604\pi\) | |||||||
\(84\) | 15.3183 | + | 2.27051i | 1.67137 | + | 0.247733i | ||||
\(85\) | −2.40222 | + | 6.86516i | −0.260558 | + | 0.744631i | ||||
\(86\) | −0.174352 | + | 9.97612i | −0.0188009 | + | 1.07575i | ||||
\(87\) | −5.69974 | − | 11.3802i | −0.611076 | − | 1.22009i | ||||
\(88\) | −16.9402 | − | 0.888911i | −1.80583 | − | 0.0947583i | ||||
\(89\) | 12.1053 | + | 4.23583i | 1.28316 | + | 0.448997i | 0.883829 | − | 0.467809i | \(-0.154957\pi\) |
0.399331 | + | 0.916807i | \(0.369242\pi\) | |||||||
\(90\) | 4.92028 | + | 0.641637i | 0.518643 | + | 0.0676345i | ||||
\(91\) | −2.71769 | + | 3.40787i | −0.284891 | + | 0.357242i | ||||
\(92\) | −5.45612 | + | 2.39641i | −0.568840 | + | 0.249843i | ||||
\(93\) | 4.50171 | − | 9.34791i | 0.466806 | − | 0.969333i | ||||
\(94\) | −0.421963 | − | 0.548521i | −0.0435222 | − | 0.0565756i | ||||
\(95\) | 1.55572 | − | 0.977524i | 0.159613 | − | 0.100292i | ||||
\(96\) | 12.7253 | + | 4.10120i | 1.29877 | + | 0.418577i | ||||
\(97\) | 0.141905 | + | 1.25944i | 0.0144082 | + | 0.127877i | 0.998857 | − | 0.0477942i | \(-0.0152192\pi\) |
−0.984449 | + | 0.175671i | \(0.943791\pi\) | |||||||
\(98\) | 4.41955 | + | 2.88592i | 0.446442 | + | 0.291522i | ||||
\(99\) | −10.9672 | − | 10.9672i | −1.10224 | − | 1.10224i | ||||
\(100\) | −6.20547 | + | 1.18989i | −0.620547 | + | 0.118989i | ||||
\(101\) | 1.77842 | + | 5.08243i | 0.176959 | + | 0.505720i | 0.997863 | − | 0.0653467i | \(-0.0208153\pi\) |
−0.820903 | + | 0.571067i | \(0.806530\pi\) | |||||||
\(102\) | −17.0139 | + | 5.62169i | −1.68463 | + | 0.556631i | ||||
\(103\) | −13.8841 | + | 3.16896i | −1.36804 | + | 0.312247i | −0.842580 | − | 0.538571i | \(-0.818965\pi\) |
−0.525462 | + | 0.850817i | \(0.676107\pi\) | |||||||
\(104\) | −2.79683 | + | 2.51795i | −0.274252 | + | 0.246905i | ||||
\(105\) | 8.89486 | + | 5.58901i | 0.868049 | + | 0.545431i | ||||
\(106\) | 0.854009 | + | 8.98873i | 0.0829487 | + | 0.873062i | ||||
\(107\) | 15.1947 | + | 3.46808i | 1.46892 | + | 0.335272i | 0.880796 | − | 0.473496i | \(-0.157008\pi\) |
0.588128 | + | 0.808768i | \(0.299865\pi\) | |||||||
\(108\) | −0.982470 | − | 1.69210i | −0.0945382 | − | 0.162823i | ||||
\(109\) | −3.13660 | + | 2.50135i | −0.300431 | + | 0.239586i | −0.762089 | − | 0.647472i | \(-0.775826\pi\) |
0.461658 | + | 0.887058i | \(0.347255\pi\) | |||||||
\(110\) | −10.2791 | − | 5.17333i | −0.980071 | − | 0.493257i | ||||
\(111\) | 5.83282 | + | 12.1120i | 0.553626 | + | 1.14962i | ||||
\(112\) | 9.64954 | + | 8.86589i | 0.911796 | + | 0.837748i | ||||
\(113\) | −0.0605474 | − | 0.00682206i | −0.00569582 | − | 0.000641765i | 0.109116 | − | 0.994029i | \(-0.465198\pi\) |
−0.114812 | + | 0.993387i | \(0.536627\pi\) | |||||||
\(114\) | 4.24570 | + | 1.56943i | 0.397646 | + | 0.146991i | ||||
\(115\) | −4.04254 | −0.376968 | ||||||||
\(116\) | 1.41354 | − | 10.6772i | 0.131244 | − | 0.991350i | ||||
\(117\) | −3.44083 | −0.318104 | ||||||||
\(118\) | −8.31429 | − | 3.07340i | −0.765392 | − | 0.282929i | ||||
\(119\) | −17.4520 | − | 1.96636i | −1.59982 | − | 0.180256i | ||||
\(120\) | 6.78494 | + | 6.01870i | 0.619377 | + | 0.549429i | ||||
\(121\) | 10.8340 | + | 22.4971i | 0.984912 | + | 2.04519i | ||||
\(122\) | 15.5907 | + | 7.84659i | 1.41151 | + | 0.710397i | ||||
\(123\) | 11.9078 | − | 9.49618i | 1.07369 | − | 0.856241i | ||||
\(124\) | 7.59270 | − | 4.40848i | 0.681844 | − | 0.395893i | ||||
\(125\) | −10.7924 | − | 2.46330i | −0.965305 | − | 0.220325i | ||||
\(126\) | 1.13322 | + | 11.9275i | 0.100956 | + | 1.06259i | ||||
\(127\) | −1.61237 | − | 1.01312i | −0.143075 | − | 0.0899001i | 0.458592 | − | 0.888647i | \(-0.348354\pi\) |
−0.601667 | + | 0.798747i | \(0.705497\pi\) | |||||||
\(128\) | 6.96405 | + | 8.91639i | 0.615541 | + | 0.788105i | ||||
\(129\) | −16.2569 | + | 3.71054i | −1.43134 | + | 0.326695i | ||||
\(130\) | −2.42401 | + | 0.800934i | −0.212599 | + | 0.0702466i | ||||
\(131\) | −4.51526 | − | 12.9039i | −0.394500 | − | 1.12742i | −0.954316 | − | 0.298800i | \(-0.903414\pi\) |
0.559815 | − | 0.828617i | \(-0.310872\pi\) | |||||||
\(132\) | −5.33881 | − | 27.8427i | −0.464684 | − | 2.42340i | ||||
\(133\) | 3.13708 | + | 3.13708i | 0.272019 | + | 0.272019i | ||||
\(134\) | 4.55537 | + | 2.97461i | 0.393524 | + | 0.256967i | ||||
\(135\) | −0.148614 | − | 1.31898i | −0.0127906 | − | 0.113520i | ||||
\(136\) | −14.5856 | − | 4.14405i | −1.25070 | − | 0.355350i | ||||
\(137\) | 19.0825 | − | 11.9903i | 1.63033 | − | 1.02440i | 0.671266 | − | 0.741217i | \(-0.265751\pi\) |
0.959065 | − | 0.283187i | \(-0.0913918\pi\) | |||||||
\(138\) | −6.07246 | − | 7.89375i | −0.516923 | − | 0.671961i | ||||
\(139\) | 4.09956 | − | 8.51283i | 0.347720 | − | 0.722049i | −0.651613 | − | 0.758551i | \(-0.725907\pi\) |
0.999334 | + | 0.0365027i | \(0.0116217\pi\) | |||||||
\(140\) | 3.57476 | + | 8.13898i | 0.302122 | + | 0.687870i | ||||
\(141\) | 0.721112 | − | 0.904246i | 0.0607286 | − | 0.0761512i | ||||
\(142\) | 17.2335 | + | 2.24736i | 1.44620 | + | 0.188594i | ||||
\(143\) | 7.53201 | + | 2.63556i | 0.629858 | + | 0.220397i | ||||
\(144\) | −0.722483 | + | 10.3190i | −0.0602069 | + | 0.859918i | ||||
\(145\) | 3.79065 | − | 6.24600i | 0.314797 | − | 0.518702i | ||||
\(146\) | −0.188318 | + | 10.7752i | −0.0155853 | + | 0.891763i | ||||
\(147\) | −2.91351 | + | 8.32634i | −0.240302 | + | 0.686745i | ||||
\(148\) | −1.66791 | + | 11.2529i | −0.137102 | + | 0.924979i | ||||
\(149\) | 5.12076 | + | 4.08367i | 0.419509 | + | 0.334547i | 0.810387 | − | 0.585895i | \(-0.199257\pi\) |
−0.390878 | + | 0.920443i | \(0.627828\pi\) | |||||||
\(150\) | −4.41475 | − | 9.59261i | −0.360463 | − | 0.783233i | ||||
\(151\) | 1.83267 | + | 0.882569i | 0.149141 | + | 0.0718225i | 0.506966 | − | 0.861966i | \(-0.330767\pi\) |
−0.357825 | + | 0.933789i | \(0.616481\pi\) | |||||||
\(152\) | 2.22797 | + | 3.11571i | 0.180713 | + | 0.252718i | ||||
\(153\) | −7.37588 | − | 11.7386i | −0.596305 | − | 0.949013i | ||||
\(154\) | 6.65548 | − | 26.9775i | 0.536314 | − | 2.17391i | ||||
\(155\) | 5.91846 | − | 0.666850i | 0.475382 | − | 0.0535627i | ||||
\(156\) | −5.20517 | − | 3.53018i | −0.416747 | − | 0.282640i | ||||
\(157\) | −10.3348 | + | 10.3348i | −0.824803 | + | 0.824803i | −0.986793 | − | 0.161989i | \(-0.948209\pi\) |
0.161989 | + | 0.986793i | \(0.448209\pi\) | |||||||
\(158\) | −7.55933 | + | 1.58692i | −0.601388 | + | 0.126249i | ||||
\(159\) | −14.2431 | + | 4.98389i | −1.12955 | + | 0.395248i | ||||
\(160\) | 1.89302 | + | 7.43776i | 0.149656 | + | 0.588006i | ||||
\(161\) | −2.17208 | − | 9.51650i | −0.171184 | − | 0.750006i | ||||
\(162\) | 10.2449 | − | 9.89294i | 0.804915 | − | 0.777263i | ||||
\(163\) | 6.00147 | − | 9.55129i | 0.470072 | − | 0.748115i | −0.524584 | − | 0.851358i | \(-0.675779\pi\) |
0.994656 | + | 0.103244i | \(0.0329221\pi\) | |||||||
\(164\) | 12.8499 | − | 0.994625i | 1.00341 | − | 0.0776671i | ||||
\(165\) | 4.27947 | − | 18.7496i | 0.333156 | − | 1.45965i | ||||
\(166\) | 3.88181 | − | 2.34550i | 0.301287 | − | 0.182046i | ||||
\(167\) | −9.48148 | − | 11.8894i | −0.733699 | − | 0.920029i | 0.265327 | − | 0.964159i | \(-0.414520\pi\) |
−0.999026 | + | 0.0441291i | \(0.985949\pi\) | |||||||
\(168\) | −10.5230 | + | 19.2063i | −0.811866 | + | 1.48179i | ||||
\(169\) | −10.1176 | + | 4.87239i | −0.778278 | + | 0.374799i | ||||
\(170\) | −7.92864 | − | 6.55278i | −0.608099 | − | 0.502575i | ||||
\(171\) | −0.392115 | + | 3.48011i | −0.0299858 | + | 0.266131i | ||||
\(172\) | −13.1477 | − | 5.12296i | −1.00250 | − | 0.390622i | ||||
\(173\) | − | 9.89244i | − | 0.752108i | −0.926598 | − | 0.376054i | \(-0.877281\pi\) | ||
0.926598 | − | 0.376054i | \(-0.122719\pi\) | |||||||
\(174\) | 17.8905 | − | 1.98047i | 1.35627 | − | 0.150139i | ||||
\(175\) | − | 10.3498i | − | 0.782373i | ||||||
\(176\) | 9.48556 | − | 22.0350i | 0.715001 | − | 1.66095i | ||||
\(177\) | 1.65865 | − | 14.7209i | 0.124672 | − | 1.10649i | ||||
\(178\) | −11.5545 | + | 13.9805i | −0.866046 | + | 1.04789i | ||||
\(179\) | −7.06397 | + | 3.40183i | −0.527986 | + | 0.254265i | −0.678833 | − | 0.734293i | \(-0.737514\pi\) |
0.150847 | + | 0.988557i | \(0.451800\pi\) | |||||||
\(180\) | −3.26373 | + | 6.21206i | −0.243264 | + | 0.463020i | ||||
\(181\) | −9.23028 | − | 11.5744i | −0.686081 | − | 0.860319i | 0.309817 | − | 0.950796i | \(-0.399732\pi\) |
−0.995899 | + | 0.0904773i | \(0.971161\pi\) | |||||||
\(182\) | −3.18791 | − | 5.27599i | −0.236303 | − | 0.391082i | ||||
\(183\) | −6.49084 | + | 28.4382i | −0.479817 | + | 2.10222i | ||||
\(184\) | −0.503451 | − | 8.41252i | −0.0371149 | − | 0.620179i | ||||
\(185\) | −4.10569 | + | 6.53417i | −0.301856 | + | 0.480401i | ||||
\(186\) | 10.1925 | + | 10.5551i | 0.747351 | + | 0.773938i | ||||
\(187\) | 7.15446 | + | 31.3457i | 0.523186 | + | 2.29223i | ||||
\(188\) | 0.934511 | − | 0.290767i | 0.0681562 | − | 0.0212064i | ||||
\(189\) | 3.02516 | − | 1.05855i | 0.220048 | − | 0.0769980i | ||||
\(190\) | 0.533841 | + | 2.54296i | 0.0387289 | + | 0.184486i | ||||
\(191\) | 2.38215 | − | 2.38215i | 0.172366 | − | 0.172366i | −0.615652 | − | 0.788018i | \(-0.711107\pi\) |
0.788018 | + | 0.615652i | \(0.211107\pi\) | |||||||
\(192\) | −11.6799 | + | 14.8690i | −0.842926 | + | 1.07308i | ||||
\(193\) | −4.16676 | + | 0.469481i | −0.299930 | + | 0.0337940i | −0.260647 | − | 0.965434i | \(-0.583936\pi\) |
−0.0392830 | + | 0.999228i | \(0.512507\pi\) | |||||||
\(194\) | −1.74021 | − | 0.429317i | −0.124940 | − | 0.0308232i | ||||
\(195\) | −2.26992 | − | 3.61255i | −0.162552 | − | 0.258700i | ||||
\(196\) | −5.99521 | + | 4.44739i | −0.428229 | + | 0.317671i | ||||
\(197\) | 17.0865 | + | 8.22841i | 1.21736 | + | 0.586250i | 0.928575 | − | 0.371144i | \(-0.121034\pi\) |
0.288785 | + | 0.957394i | \(0.406749\pi\) | |||||||
\(198\) | 19.9254 | − | 9.17017i | 1.41604 | − | 0.651696i | ||||
\(199\) | 2.31781 | + | 1.84839i | 0.164305 | + | 0.131029i | 0.702191 | − | 0.711989i | \(-0.252205\pi\) |
−0.537886 | + | 0.843018i | \(0.680777\pi\) | |||||||
\(200\) | 1.46441 | − | 8.81492i | 0.103550 | − | 0.623309i | ||||
\(201\) | −3.00305 | + | 8.58223i | −0.211819 | + | 0.605344i | ||||
\(202\) | −7.61380 | − | 0.133066i | −0.535705 | − | 0.00936250i | ||||
\(203\) | 16.7404 | + | 5.56754i | 1.17495 | + | 0.390764i | ||||
\(204\) | 0.885487 | − | 25.3253i | 0.0619965 | − | 1.77312i | ||||
\(205\) | 8.25241 | + | 2.88764i | 0.576374 | + | 0.201682i | ||||
\(206\) | 2.60435 | − | 19.9710i | 0.181453 | − | 1.39144i | ||||
\(207\) | 4.80426 | − | 6.02436i | 0.333919 | − | 0.418722i | ||||
\(208\) | −1.96863 | − | 4.94461i | −0.136500 | − | 0.342847i | ||||
\(209\) | 3.52400 | − | 7.31766i | 0.243760 | − | 0.506173i | ||||
\(210\) | −11.7752 | + | 9.05840i | −0.812569 | + | 0.625089i | ||||
\(211\) | 15.0964 | − | 9.48569i | 1.03928 | − | 0.653022i | 0.0995808 | − | 0.995029i | \(-0.468250\pi\) |
0.939697 | + | 0.342008i | \(0.111107\pi\) | |||||||
\(212\) | −12.3422 | − | 3.27469i | −0.847664 | − | 0.224907i | ||||
\(213\) | 3.25201 | + | 28.8624i | 0.222824 | + | 1.97762i | ||||
\(214\) | −12.0509 | + | 18.4550i | −0.823783 | + | 1.26156i | ||||
\(215\) | −6.76853 | − | 6.76853i | −0.461610 | − | 0.461610i | ||||
\(216\) | 2.72630 | − | 0.473529i | 0.185501 | − | 0.0322196i | ||||
\(217\) | 4.74985 | + | 13.5743i | 0.322441 | + | 0.921483i | ||||
\(218\) | −1.78001 | − | 5.38717i | −0.120558 | − | 0.364865i | ||||
\(219\) | −17.5591 | + | 4.00776i | −1.18654 | + | 0.270819i | ||||
\(220\) | 11.9026 | − | 11.0984i | 0.802472 | − | 0.748252i | ||||
\(221\) | 6.03950 | + | 3.79487i | 0.406261 | + | 0.255270i | ||||
\(222\) | −18.9264 | + | 1.79818i | −1.27026 | + | 0.120686i | ||||
\(223\) | 17.5165 | + | 3.99802i | 1.17299 | + | 0.267727i | 0.764248 | − | 0.644923i | \(-0.223110\pi\) |
0.408742 | + | 0.912650i | \(0.365968\pi\) | |||||||
\(224\) | −16.4920 | + | 8.45269i | −1.10192 | + | 0.564769i | ||||
\(225\) | 6.38761 | − | 5.09395i | 0.425841 | − | 0.339597i | ||||
\(226\) | 0.0387382 | − | 0.0769703i | 0.00257682 | − | 0.00511998i | ||||
\(227\) | 1.01832 | + | 2.11456i | 0.0675881 | + | 0.140348i | 0.932026 | − | 0.362392i | \(-0.118040\pi\) |
−0.864438 | + | 0.502740i | \(0.832325\pi\) | |||||||
\(228\) | −4.16367 | + | 4.86231i | −0.275745 | + | 0.322014i | ||||
\(229\) | 2.33196 | + | 0.262749i | 0.154100 | + | 0.0173629i | 0.188678 | − | 0.982039i | \(-0.439580\pi\) |
−0.0345772 | + | 0.999402i | \(0.511008\pi\) | |||||||
\(230\) | 1.98221 | − | 5.36237i | 0.130703 | − | 0.353584i | ||||
\(231\) | 46.4376 | 3.05537 | ||||||||
\(232\) | 13.4700 | + | 7.11048i | 0.884349 | + | 0.466826i | ||||
\(233\) | −10.1722 | −0.666405 | −0.333203 | − | 0.942855i | \(-0.608129\pi\) | ||||
−0.333203 | + | 0.942855i | \(0.608129\pi\) | |||||||
\(234\) | 1.68717 | − | 4.56421i | 0.110294 | − | 0.298372i | ||||
\(235\) | 0.659747 | + | 0.0743356i | 0.0430371 | + | 0.00484912i | ||||
\(236\) | 8.15364 | − | 9.52178i | 0.530757 | − | 0.619815i | ||||
\(237\) | −5.60092 | − | 11.6304i | −0.363819 | − | 0.755478i | ||||
\(238\) | 11.1657 | − | 22.1856i | 0.723767 | − | 1.43808i | ||||
\(239\) | −6.95433 | + | 5.54589i | −0.449838 | + | 0.358734i | −0.822051 | − | 0.569413i | \(-0.807170\pi\) |
0.372213 | + | 0.928147i | \(0.378599\pi\) | |||||||
\(240\) | −11.3106 | + | 6.04892i | −0.730099 | + | 0.390456i | ||||
\(241\) | 5.72199 | + | 1.30601i | 0.368586 | + | 0.0841274i | 0.402802 | − | 0.915287i | \(-0.368036\pi\) |
−0.0342160 | + | 0.999414i | \(0.510893\pi\) | |||||||
\(242\) | −35.1545 | + | 3.33999i | −2.25981 | + | 0.214702i | ||||
\(243\) | 17.6681 | + | 11.1016i | 1.13341 | + | 0.712168i | ||||
\(244\) | −18.0531 | + | 16.8333i | −1.15573 | + | 1.07764i | ||||
\(245\) | −4.93687 | + | 1.12681i | −0.315405 | + | 0.0719891i | ||||
\(246\) | 6.75767 | + | 20.4519i | 0.430854 | + | 1.30397i | ||||
\(247\) | −0.595109 | − | 1.70072i | −0.0378659 | − | 0.108215i | ||||
\(248\) | 2.12479 | + | 12.2333i | 0.134924 | + | 0.776813i | ||||
\(249\) | 5.35967 | + | 5.35967i | 0.339656 | + | 0.339656i | ||||
\(250\) | 8.55950 | − | 13.1082i | 0.541350 | − | 0.829034i | ||||
\(251\) | 0.592621 | + | 5.25966i | 0.0374059 | + | 0.331987i | 0.998453 | + | 0.0556021i | \(0.0177078\pi\) |
−0.961047 | + | 0.276385i | \(0.910864\pi\) | |||||||
\(252\) | −16.3774 | − | 4.34534i | −1.03168 | − | 0.273731i | ||||
\(253\) | −15.1310 | + | 9.50747i | −0.951281 | + | 0.597729i | ||||
\(254\) | 2.13450 | − | 1.64202i | 0.133931 | − | 0.103030i | ||||
\(255\) | 7.45863 | − | 15.4880i | 0.467077 | − | 0.969896i | ||||
\(256\) | −15.2422 | + | 4.86566i | −0.952639 | + | 0.304104i | ||||
\(257\) | −0.685106 | + | 0.859095i | −0.0427357 | + | 0.0535889i | −0.802740 | − | 0.596329i | \(-0.796625\pi\) |
0.760004 | + | 0.649918i | \(0.225197\pi\) | |||||||
\(258\) | 3.04943 | − | 23.3840i | 0.189849 | − | 1.45583i | ||||
\(259\) | −17.5880 | − | 6.15432i | −1.09287 | − | 0.382411i | ||||
\(260\) | 0.126157 | − | 3.60814i | 0.00782394 | − | 0.223768i | ||||
\(261\) | 4.80312 | + | 13.0719i | 0.297306 | + | 0.809131i | ||||
\(262\) | 19.3308 | + | 0.337844i | 1.19426 | + | 0.0208721i | ||||
\(263\) | 0.769315 | − | 2.19858i | 0.0474380 | − | 0.135570i | −0.917727 | − | 0.397211i | \(-0.869978\pi\) |
0.965165 | + | 0.261641i | \(0.0842637\pi\) | |||||||
\(264\) | 39.5509 | + | 6.57054i | 2.43419 | + | 0.404389i | ||||
\(265\) | −6.77242 | − | 5.40083i | −0.416027 | − | 0.331770i | ||||
\(266\) | −5.69953 | + | 2.62306i | −0.349460 | + | 0.160830i | ||||
\(267\) | −27.3099 | − | 13.1518i | −1.67134 | − | 0.804875i | ||||
\(268\) | −6.17946 | + | 4.58407i | −0.377471 | + | 0.280017i | ||||
\(269\) | −7.93074 | − | 12.6217i | −0.483546 | − | 0.769559i | 0.512473 | − | 0.858703i | \(-0.328730\pi\) |
−0.996019 | + | 0.0891445i | \(0.971587\pi\) | |||||||
\(270\) | 1.82248 | + | 0.449615i | 0.110913 | + | 0.0273627i | ||||
\(271\) | −17.5508 | + | 1.97750i | −1.06614 | + | 0.120125i | −0.627559 | − | 0.778569i | \(-0.715946\pi\) |
−0.438577 | + | 0.898694i | \(0.644517\pi\) | |||||||
\(272\) | 12.6489 | − | 17.3156i | 0.766953 | − | 1.04991i | ||||
\(273\) | 7.28464 | − | 7.28464i | 0.440887 | − | 0.440887i | ||||
\(274\) | 6.54812 | + | 31.1921i | 0.395586 | + | 1.88438i | ||||
\(275\) | −17.8843 | + | 6.25800i | −1.07847 | + | 0.377372i | ||||
\(276\) | 13.4485 | − | 4.18443i | 0.809506 | − | 0.251873i | ||||
\(277\) | −3.49210 | − | 15.2999i | −0.209820 | − | 0.919280i | −0.964686 | − | 0.263402i | \(-0.915156\pi\) |
0.754867 | − | 0.655878i | \(-0.227702\pi\) | |||||||
\(278\) | 9.28198 | + | 9.61219i | 0.556696 | + | 0.576501i | ||||
\(279\) | −6.03989 | + | 9.61243i | −0.361599 | + | 0.575481i | ||||
\(280\) | −12.5491 | + | 0.751007i | −0.749952 | + | 0.0448813i | ||||
\(281\) | −1.70279 | + | 7.46043i | −0.101580 | + | 0.445052i | 0.898402 | + | 0.439173i | \(0.144728\pi\) |
−0.999983 | + | 0.00587900i | \(0.998129\pi\) | |||||||
\(282\) | 0.845880 | + | 1.39993i | 0.0503714 | + | 0.0833648i | ||||
\(283\) | 8.32098 | + | 10.4342i | 0.494631 | + | 0.620247i | 0.965009 | − | 0.262218i | \(-0.0844538\pi\) |
−0.470378 | + | 0.882465i | \(0.655882\pi\) | |||||||
\(284\) | −11.4313 | + | 21.7580i | −0.678325 | + | 1.29110i | ||||
\(285\) | −3.91248 | + | 1.88415i | −0.231755 | + | 0.111608i | ||||
\(286\) | −7.18928 | + | 8.69879i | −0.425111 | + | 0.514370i | ||||
\(287\) | −2.36371 | + | 20.9785i | −0.139525 | + | 1.23832i | ||||
\(288\) | −13.3338 | − | 6.01818i | −0.785700 | − | 0.354625i | ||||
\(289\) | 11.7390i | 0.690532i | ||||||||
\(290\) | 6.42652 | + | 8.09091i | 0.377378 | + | 0.475115i | ||||
\(291\) | − | 2.99550i | − | 0.175599i | ||||||
\(292\) | −14.2008 | − | 5.53331i | −0.831041 | − | 0.323813i | ||||
\(293\) | −3.68352 | + | 32.6922i | −0.215194 | + | 1.90990i | 0.167242 | + | 0.985916i | \(0.446514\pi\) |
−0.382436 | + | 0.923982i | \(0.624915\pi\) | |||||||
\(294\) | −9.61617 | − | 7.94747i | −0.560826 | − | 0.463506i | ||||
\(295\) | 7.66175 | − | 3.68971i | 0.446085 | − | 0.214823i | ||||
\(296\) | −14.1089 | − | 7.73019i | −0.820064 | − | 0.449308i | ||||
\(297\) | −3.65831 | − | 4.58738i | −0.212277 | − | 0.266187i | ||||
\(298\) | −7.92785 | + | 4.79024i | −0.459248 | + | 0.277491i | ||||
\(299\) | −0.882167 | + | 3.86503i | −0.0510171 | + | 0.223520i | ||||
\(300\) | 14.8892 | − | 1.15247i | 0.859628 | − | 0.0665381i | ||||
\(301\) | 12.2970 | − | 19.5705i | 0.708786 | − | 1.12803i | ||||
\(302\) | −2.06935 | + | 1.99826i | −0.119078 | + | 0.114987i | ||||
\(303\) | −2.83189 | − | 12.4073i | −0.162688 | − | 0.712783i | ||||
\(304\) | −5.22542 | + | 1.42762i | −0.299698 | + | 0.0818797i | ||||
\(305\) | −15.8049 | + | 5.53038i | −0.904986 | + | 0.316668i | ||||
\(306\) | 19.1878 | − | 4.02809i | 1.09690 | − | 0.230270i | ||||
\(307\) | −4.13225 | + | 4.13225i | −0.235840 | + | 0.235840i | −0.815125 | − | 0.579285i | \(-0.803332\pi\) |
0.579285 | + | 0.815125i | \(0.303332\pi\) | |||||||
\(308\) | 32.5219 | + | 22.0566i | 1.85311 | + | 1.25679i | ||||
\(309\) | 33.4472 | − | 3.76859i | 1.90274 | − | 0.214388i | ||||
\(310\) | −2.01748 | + | 8.17774i | −0.114585 | + | 0.464464i | ||||
\(311\) | 1.17063 | + | 1.86305i | 0.0663804 | + | 0.105644i | 0.878265 | − | 0.478174i | \(-0.158701\pi\) |
−0.811885 | + | 0.583818i | \(0.801558\pi\) | |||||||
\(312\) | 7.23503 | − | 5.17360i | 0.409603 | − | 0.292898i | ||||
\(313\) | −10.0771 | − | 4.85288i | −0.569592 | − | 0.274301i | 0.126841 | − | 0.991923i | \(-0.459516\pi\) |
−0.696433 | + | 0.717622i | \(0.745231\pi\) | |||||||
\(314\) | −8.64138 | − | 18.7765i | −0.487661 | − | 1.05962i | ||||
\(315\) | −8.98663 | − | 7.16660i | −0.506339 | − | 0.403792i | ||||
\(316\) | 1.60160 | − | 10.8055i | 0.0900973 | − | 0.607856i | ||||
\(317\) | 4.08640 | − | 11.6783i | 0.229515 | − | 0.655916i | −0.770318 | − | 0.637660i | \(-0.779903\pi\) |
0.999833 | − | 0.0182567i | \(-0.00581160\pi\) | |||||||
\(318\) | 0.372908 | − | 21.3371i | 0.0209117 | − | 1.19653i | ||||
\(319\) | −0.501431 | − | 32.2936i | −0.0280747 | − | 1.80809i | ||||
\(320\) | −10.7943 | − | 1.13596i | −0.603420 | − | 0.0635021i | ||||
\(321\) | −34.7688 | − | 12.1661i | −1.94061 | − | 0.679048i | ||||
\(322\) | 13.6886 | + | 1.78508i | 0.762834 | + | 0.0994787i | ||||
\(323\) | 4.52646 | − | 5.67600i | 0.251859 | − | 0.315821i | ||||
\(324\) | 8.09939 | + | 18.4406i | 0.449966 | + | 1.02448i | ||||
\(325\) | −1.82382 | + | 3.78719i | −0.101167 | + | 0.210076i | ||||
\(326\) | 9.72690 | + | 12.6442i | 0.538723 | + | 0.700300i | ||||
\(327\) | 8.02862 | − | 5.04471i | 0.443983 | − | 0.278973i | ||||
\(328\) | −4.98145 | + | 17.5329i | −0.275054 | + | 0.968093i | ||||
\(329\) | 0.179493 | + | 1.59305i | 0.00989578 | + | 0.0878275i | ||||
\(330\) | 22.7727 | + | 14.8703i | 1.25359 | + | 0.818584i | ||||
\(331\) | −14.9146 | − | 14.9146i | −0.819782 | − | 0.819782i | 0.166294 | − | 0.986076i | \(-0.446820\pi\) |
−0.986076 | + | 0.166294i | \(0.946820\pi\) | |||||||
\(332\) | 1.20787 | + | 6.29926i | 0.0662907 | + | 0.345717i | ||||
\(333\) | −4.85817 | − | 13.8839i | −0.266226 | − | 0.760831i | ||||
\(334\) | 20.4203 | − | 6.74722i | 1.11735 | − | 0.369191i | ||||
\(335\) | −5.08859 | + | 1.16144i | −0.278020 | + | 0.0634562i | ||||
\(336\) | −20.3170 | − | 23.3762i | −1.10838 | − | 1.27528i | ||||
\(337\) | −16.8237 | − | 10.5710i | −0.916446 | − | 0.575841i | −0.0108308 | − | 0.999941i | \(-0.503448\pi\) |
−0.905615 | + | 0.424100i | \(0.860590\pi\) | |||||||
\(338\) | −1.50209 | − | 15.8100i | −0.0817030 | − | 0.859951i | ||||
\(339\) | 0.140398 | + | 0.0320449i | 0.00762537 | + | 0.00174044i | ||||
\(340\) | 12.5799 | − | 7.30415i | 0.682241 | − | 0.396123i | ||||
\(341\) | 20.5842 | − | 16.4154i | 1.11470 | − | 0.888942i | ||||
\(342\) | −4.42406 | − | 2.22657i | −0.239226 | − | 0.120399i | ||||
\(343\) | 4.64468 | + | 9.64478i | 0.250789 | + | 0.520769i | ||||
\(344\) | 13.2424 | − | 14.9283i | 0.713981 | − | 0.804878i | ||||
\(345\) | 9.49440 | + | 1.06976i | 0.511161 | + | 0.0575941i | ||||
\(346\) | 13.1222 | + | 4.85065i | 0.705454 | + | 0.260773i | ||||
\(347\) | 16.7210 | 0.897629 | 0.448814 | − | 0.893625i | \(-0.351846\pi\) | ||||
0.448814 | + | 0.893625i | \(0.351846\pi\) | |||||||
\(348\) | −6.14535 | + | 24.7026i | −0.329425 | + | 1.32420i | ||||
\(349\) | 3.96295 | 0.212132 | 0.106066 | − | 0.994359i | \(-0.466175\pi\) | ||||
0.106066 | + | 0.994359i | \(0.466175\pi\) | |||||||
\(350\) | 13.7289 | + | 5.07492i | 0.733840 | + | 0.271266i | ||||
\(351\) | −1.29350 | − | 0.145742i | −0.0690417 | − | 0.00777914i | ||||
\(352\) | 24.5780 | + | 23.3871i | 1.31001 | + | 1.24654i | ||||
\(353\) | −7.95794 | − | 16.5248i | −0.423559 | − | 0.879528i | −0.998133 | − | 0.0610761i | \(-0.980547\pi\) |
0.574575 | − | 0.818452i | \(-0.305168\pi\) | |||||||
\(354\) | 18.7138 | + | 9.41844i | 0.994629 | + | 0.500585i | ||||
\(355\) | −13.0355 | + | 10.3955i | −0.691854 | + | 0.551735i | ||||
\(356\) | −12.8794 | − | 22.1821i | −0.682606 | − | 1.17565i | ||||
\(357\) | 40.4678 | + | 9.23650i | 2.14178 | + | 0.488848i | ||||
\(358\) | −1.04874 | − | 11.0383i | −0.0554275 | − | 0.583393i | ||||
\(359\) | −2.35090 | − | 1.47717i | −0.124076 | − | 0.0779621i | 0.468564 | − | 0.883429i | \(-0.344771\pi\) |
−0.592640 | + | 0.805467i | \(0.701914\pi\) | |||||||
\(360\) | −6.63989 | − | 7.37531i | −0.349953 | − | 0.388713i | ||||
\(361\) | 16.7357 | − | 3.81981i | 0.880825 | − | 0.201042i | ||||
\(362\) | 19.8793 | − | 6.56846i | 1.04483 | − | 0.345231i | ||||
\(363\) | −19.4918 | − | 55.7042i | −1.02305 | − | 2.92371i | ||||
\(364\) | 8.56169 | − | 1.64169i | 0.448754 | − | 0.0860481i | ||||
\(365\) | −7.31070 | − | 7.31070i | −0.382659 | − | 0.382659i | ||||
\(366\) | −34.5402 | − | 22.5544i | −1.80545 | − | 1.17894i | ||||
\(367\) | 0.150160 | + | 1.33270i | 0.00783827 | + | 0.0695666i | 0.997022 | − | 0.0771126i | \(-0.0245701\pi\) |
−0.989184 | + | 0.146679i | \(0.953142\pi\) | |||||||
\(368\) | 11.4060 | + | 3.45717i | 0.594577 | + | 0.180217i | ||||
\(369\) | −14.1107 | + | 8.86633i | −0.734573 | + | 0.461563i | ||||
\(370\) | −6.65430 | − | 8.65010i | −0.345941 | − | 0.449697i | ||||
\(371\) | 9.07518 | − | 18.8448i | 0.471160 | − | 0.978374i | ||||
\(372\) | −18.9990 | + | 8.34464i | −0.985052 | + | 0.432649i | ||||
\(373\) | 0.852893 | − | 1.06949i | 0.0441611 | − | 0.0553763i | −0.759260 | − | 0.650787i | \(-0.774439\pi\) |
0.803422 | + | 0.595411i | \(0.203011\pi\) | |||||||
\(374\) | −45.0878 | − | 5.87975i | −2.33143 | − | 0.304035i | ||||
\(375\) | 24.6955 | + | 8.64134i | 1.27527 | + | 0.446237i | ||||
\(376\) | −0.0725286 | + | 1.38219i | −0.00374037 | + | 0.0712811i | ||||
\(377\) | −5.14453 | − | 4.98721i | −0.264957 | − | 0.256855i | ||||
\(378\) | −0.0792034 | + | 4.53188i | −0.00407378 | + | 0.233095i | ||||
\(379\) | −11.3860 | + | 32.5395i | −0.584862 | + | 1.67144i | 0.146304 | + | 0.989240i | \(0.453262\pi\) |
−0.731166 | + | 0.682200i | \(0.761023\pi\) | |||||||
\(380\) | −3.63497 | − | 0.538780i | −0.186470 | − | 0.0276388i | ||||
\(381\) | 3.51877 | + | 2.80612i | 0.180272 | + | 0.143762i | ||||
\(382\) | 1.99183 | + | 4.32795i | 0.101911 | + | 0.221437i | ||||
\(383\) | −3.17316 | − | 1.52812i | −0.162141 | − | 0.0780831i | 0.351053 | − | 0.936356i | \(-0.385824\pi\) |
−0.513194 | + | 0.858273i | \(0.671538\pi\) | |||||||
\(384\) | −13.9964 | − | 22.7841i | −0.714252 | − | 1.16270i | ||||
\(385\) | 14.1825 | + | 22.5712i | 0.722805 | + | 1.15034i | ||||
\(386\) | 1.42037 | − | 5.75736i | 0.0722948 | − | 0.293042i | ||||
\(387\) | 18.1307 | − | 2.04283i | 0.921633 | − | 0.103843i | ||||
\(388\) | 1.42278 | − | 2.09785i | 0.0722305 | − | 0.106502i | ||||
\(389\) | 12.4654 | − | 12.4654i | 0.632022 | − | 0.632022i | −0.316553 | − | 0.948575i | \(-0.602526\pi\) |
0.948575 | + | 0.316553i | \(0.102526\pi\) | |||||||
\(390\) | 5.90503 | − | 1.23964i | 0.299013 | − | 0.0627715i | ||||
\(391\) | −15.0769 | + | 5.27563i | −0.762471 | + | 0.266800i | ||||
\(392\) | −2.95972 | − | 10.1333i | −0.149488 | − | 0.511809i | ||||
\(393\) | 7.18995 | + | 31.5012i | 0.362685 | + | 1.58903i | ||||
\(394\) | −19.2931 | + | 18.6303i | −0.971970 | + | 0.938579i | ||||
\(395\) | 3.94246 | − | 6.27439i | 0.198367 | − | 0.315699i | ||||
\(396\) | 2.39388 | + | 30.9273i | 0.120297 | + | 1.55416i | ||||
\(397\) | −8.10411 | + | 35.5064i | −0.406734 | + | 1.78202i | 0.192347 | + | 0.981327i | \(0.438390\pi\) |
−0.599080 | + | 0.800689i | \(0.704467\pi\) | |||||||
\(398\) | −3.58837 | + | 2.16820i | −0.179869 | + | 0.108682i | ||||
\(399\) | −6.53767 | − | 8.19798i | −0.327293 | − | 0.410412i | ||||
\(400\) | 10.9748 | + | 6.26483i | 0.548741 | + | 0.313241i | ||||
\(401\) | 12.2141 | − | 5.88201i | 0.609944 | − | 0.293733i | −0.103299 | − | 0.994650i | \(-0.532940\pi\) |
0.713243 | + | 0.700917i | \(0.247226\pi\) | |||||||
\(402\) | −9.91170 | − | 8.19172i | −0.494351 | − | 0.408566i | ||||
\(403\) | 0.653965 | − | 5.80410i | 0.0325763 | − | 0.289123i | ||||
\(404\) | 3.90986 | − | 10.0344i | 0.194523 | − | 0.499228i | ||||
\(405\) | 13.6630i | 0.678919i | ||||||||
\(406\) | −15.5937 | + | 19.4759i | −0.773904 | + | 0.966574i | ||||
\(407\) | 34.1131i | 1.69092i | ||||||||
\(408\) | 33.1594 | + | 13.5926i | 1.64164 | + | 0.672932i | ||||
\(409\) | 2.43294 | − | 21.5929i | 0.120301 | − | 1.06770i | −0.777982 | − | 0.628286i | \(-0.783757\pi\) |
0.898284 | − | 0.439416i | \(-0.144815\pi\) | |||||||
\(410\) | −7.87691 | + | 9.53079i | −0.389013 | + | 0.470692i | ||||
\(411\) | −47.9907 | + | 23.1111i | −2.36720 | + | 1.13999i | ||||
\(412\) | 25.2142 | + | 13.2472i | 1.24221 | + | 0.652642i | ||||
\(413\) | 12.8026 | + | 16.0540i | 0.629976 | + | 0.789965i | ||||
\(414\) | 5.63551 | + | 9.32677i | 0.276970 | + | 0.458386i | ||||
\(415\) | −0.968206 | + | 4.24199i | −0.0475273 | + | 0.208231i | ||||
\(416\) | 7.52426 | − | 0.186819i | 0.368907 | − | 0.00915958i | ||||
\(417\) | −11.8811 | + | 18.9086i | −0.581818 | + | 0.925958i | ||||
\(418\) | 7.97883 | + | 8.26268i | 0.390257 | + | 0.404141i | ||||
\(419\) | 7.39689 | + | 32.4079i | 0.361362 | + | 1.58323i | 0.749742 | + | 0.661730i | \(0.230178\pi\) |
−0.388380 | + | 0.921499i | \(0.626965\pi\) | |||||||
\(420\) | −6.24198 | − | 20.0614i | −0.304577 | − | 0.978896i | ||||
\(421\) | −25.5561 | + | 8.94248i | −1.24553 | + | 0.435830i | −0.870953 | − | 0.491366i | \(-0.836498\pi\) |
−0.374577 | + | 0.927196i | \(0.622212\pi\) | |||||||
\(422\) | 5.18029 | + | 24.6764i | 0.252172 | + | 1.20123i | ||||
\(423\) | −0.894839 | + | 0.894839i | −0.0435086 | + | 0.0435086i | ||||
\(424\) | 10.3957 | − | 14.7660i | 0.504860 | − | 0.717102i | ||||
\(425\) | −16.8299 | + | 1.89628i | −0.816371 | + | 0.0919829i | ||||
\(426\) | −39.8802 | − | 9.83863i | −1.93220 | − | 0.476683i | ||||
\(427\) | −21.5111 | − | 34.2347i | −1.04099 | − | 1.65673i | ||||
\(428\) | −18.5713 | − | 25.0346i | −0.897676 | − | 1.21009i | ||||
\(429\) | −16.9924 | − | 8.18312i | −0.820402 | − | 0.395085i | ||||
\(430\) | 12.2972 | − | 5.65949i | 0.593026 | − | 0.272925i | ||||
\(431\) | 10.9810 | + | 8.75704i | 0.528935 | + | 0.421812i | 0.851203 | − | 0.524837i | \(-0.175874\pi\) |
−0.322268 | + | 0.946649i | \(0.604445\pi\) | |||||||
\(432\) | −0.708680 | + | 3.84858i | −0.0340964 | + | 0.185165i | ||||
\(433\) | 7.97828 | − | 22.8006i | 0.383412 | − | 1.09573i | −0.576904 | − | 0.816812i | \(-0.695739\pi\) |
0.960316 | − | 0.278916i | \(-0.0899751\pi\) | |||||||
\(434\) | −20.3352 | − | 0.355397i | −0.976119 | − | 0.0170596i | ||||
\(435\) | −10.5557 | + | 13.6664i | −0.506106 | + | 0.655254i | ||||
\(436\) | 8.01882 | + | 0.280375i | 0.384032 | + | 0.0134275i | ||||
\(437\) | 3.80863 | + | 1.33270i | 0.182191 | + | 0.0637516i | ||||
\(438\) | 3.29370 | − | 25.2571i | 0.157379 | − | 1.20683i | ||||
\(439\) | 17.1754 | − | 21.5373i | 0.819737 | − | 1.02792i | −0.179290 | − | 0.983796i | \(-0.557380\pi\) |
0.999026 | − | 0.0441209i | \(-0.0140487\pi\) | |||||||
\(440\) | 8.88553 | + | 21.2306i | 0.423601 | + | 1.01213i | ||||
\(441\) | 4.18790 | − | 8.69626i | 0.199424 | − | 0.414108i | ||||
\(442\) | −7.99524 | + | 6.15054i | −0.380295 | + | 0.292551i | ||||
\(443\) | 19.2138 | − | 12.0728i | 0.912873 | − | 0.573596i | 0.00832387 | − | 0.999965i | \(-0.497350\pi\) |
0.904549 | + | 0.426369i | \(0.140208\pi\) | |||||||
\(444\) | 6.89511 | − | 25.9874i | 0.327227 | − | 1.23331i | ||||
\(445\) | −1.94820 | − | 17.2908i | −0.0923537 | − | 0.819662i | ||||
\(446\) | −13.8923 | + | 21.2750i | −0.657821 | + | 1.00740i | ||||
\(447\) | −10.9461 | − | 10.9461i | −0.517733 | − | 0.517733i | ||||
\(448\) | −3.12569 | − | 26.0212i | −0.147675 | − | 1.22938i | ||||
\(449\) | 0.624960 | + | 1.78603i | 0.0294937 | + | 0.0842881i | 0.957689 | − | 0.287806i | \(-0.0929257\pi\) |
−0.928195 | + | 0.372094i | \(0.878640\pi\) | |||||||
\(450\) | 3.62496 | + | 10.9708i | 0.170882 | + | 0.517170i | ||||
\(451\) | 37.6798 | − | 8.60017i | 1.77427 | − | 0.404966i | ||||
\(452\) | 0.0831052 | + | 0.0891272i | 0.00390894 | + | 0.00419219i | ||||
\(453\) | −4.07071 | − | 2.55780i | −0.191259 | − | 0.120176i | ||||
\(454\) | −3.30426 | + | 0.313934i | −0.155076 | + | 0.0147336i | ||||
\(455\) | 5.76553 | + | 1.31594i | 0.270292 | + | 0.0616924i | ||||
\(456\) | −4.40818 | − | 7.90723i | −0.206432 | − | 0.370290i | ||||
\(457\) | −12.1203 | + | 9.66562i | −0.566964 | + | 0.452138i | −0.864543 | − | 0.502559i | \(-0.832392\pi\) |
0.297579 | + | 0.954697i | \(0.403821\pi\) | |||||||
\(458\) | −1.49199 | + | 2.96448i | −0.0697159 | + | 0.138521i | ||||
\(459\) | −2.27558 | − | 4.72528i | −0.106215 | − | 0.220557i | ||||
\(460\) | 6.14116 | + | 5.25876i | 0.286333 | + | 0.245191i | ||||
\(461\) | 16.2172 | + | 1.82724i | 0.755310 | + | 0.0851030i | 0.481219 | − | 0.876601i | \(-0.340194\pi\) |
0.274091 | + | 0.961704i | \(0.411623\pi\) | |||||||
\(462\) | −22.7702 | + | 61.5989i | −1.05937 | + | 2.86584i | ||||
\(463\) | −33.3937 | −1.55194 | −0.775969 | − | 0.630771i | \(-0.782739\pi\) | ||||
−0.775969 | + | 0.630771i | \(0.782739\pi\) | |||||||
\(464\) | −16.0368 | + | 14.3812i | −0.744491 | + | 0.667632i | ||||
\(465\) | −14.0767 | −0.652791 | ||||||||
\(466\) | 4.98785 | − | 13.4933i | 0.231058 | − | 0.625067i | ||||
\(467\) | 11.8946 | + | 1.34019i | 0.550414 | + | 0.0620168i | 0.382792 | − | 0.923834i | \(-0.374963\pi\) |
0.167622 | + | 0.985851i | \(0.446391\pi\) | |||||||
\(468\) | 5.22708 | + | 4.47602i | 0.241622 | + | 0.206904i | ||||
\(469\) | −5.46827 | − | 11.3550i | −0.252501 | − | 0.524324i | ||||
\(470\) | −0.422105 | + | 0.838696i | −0.0194702 | + | 0.0386861i | ||||
\(471\) | 27.0073 | − | 21.5376i | 1.24443 | − | 0.992401i | ||||
\(472\) | 8.63247 | + | 15.4846i | 0.397341 | + | 0.712737i | ||||
\(473\) | −41.2530 | − | 9.41572i | −1.89681 | − | 0.432935i | ||||
\(474\) | 18.1740 | − | 1.72669i | 0.834758 | − | 0.0793095i | ||||
\(475\) | 3.62260 | + | 2.27623i | 0.166216 | + | 0.104441i | ||||
\(476\) | 23.9539 | + | 25.6897i | 1.09793 | + | 1.17748i | ||||
\(477\) | 16.0971 | − | 3.67405i | 0.737034 | − | 0.168223i | ||||
\(478\) | −3.94657 | − | 11.9442i | −0.180512 | − | 0.546314i | ||||
\(479\) | 8.56686 | + | 24.4827i | 0.391430 | + | 1.11864i | 0.956028 | + | 0.293276i | \(0.0947454\pi\) |
−0.564598 | + | 0.825366i | \(0.690969\pi\) | |||||||
\(480\) | −2.47776 | − | 17.9694i | −0.113094 | − | 0.820189i | ||||
\(481\) | 5.35130 | + | 5.35130i | 0.243998 | + | 0.243998i | ||||
\(482\) | −4.53812 | + | 6.94976i | −0.206706 | + | 0.316553i | ||||
\(483\) | 2.58308 | + | 22.9255i | 0.117534 | + | 1.04315i | ||||
\(484\) | 12.8072 | − | 48.2697i | 0.582144 | − | 2.19408i | ||||
\(485\) | 1.45598 | − | 0.914851i | 0.0661125 | − | 0.0415412i | ||||
\(486\) | −23.3895 | + | 17.9930i | −1.06097 | + | 0.816177i | ||||
\(487\) | −1.80844 | + | 3.75527i | −0.0819484 | + | 0.170168i | −0.937917 | − | 0.346861i | \(-0.887248\pi\) |
0.855968 | + | 0.517029i | \(0.172962\pi\) | |||||||
\(488\) | −13.4770 | − | 32.2013i | −0.610077 | − | 1.45768i | ||||
\(489\) | −16.6227 | + | 20.8443i | −0.751706 | + | 0.942610i | ||||
\(490\) | 0.926045 | − | 7.10121i | 0.0418345 | − | 0.320800i | ||||
\(491\) | 15.3723 | + | 5.37898i | 0.693740 | + | 0.242750i | 0.654038 | − | 0.756461i | \(-0.273074\pi\) |
0.0397018 | + | 0.999212i | \(0.487359\pi\) | |||||||
\(492\) | −30.4428 | − | 1.06442i | −1.37247 | − | 0.0479877i | ||||
\(493\) | 5.98626 | − | 28.2418i | 0.269608 | − | 1.27194i | ||||
\(494\) | 2.54779 | + | 0.0445277i | 0.114631 | + | 0.00200340i | ||||
\(495\) | −6.95004 | + | 19.8621i | −0.312381 | + | 0.892733i | ||||
\(496\) | −17.2691 | − | 3.17994i | −0.775407 | − | 0.142784i | ||||
\(497\) | −31.4760 | − | 25.1013i | −1.41189 | − | 1.12595i | ||||
\(498\) | −9.73760 | + | 4.48148i | −0.436352 | + | 0.200820i | ||||
\(499\) | 4.64060 | + | 2.23479i | 0.207742 | + | 0.100043i | 0.534861 | − | 0.844940i | \(-0.320364\pi\) |
−0.327120 | + | 0.944983i | \(0.606078\pi\) | |||||||
\(500\) | 13.1908 | + | 17.7815i | 0.589909 | + | 0.795214i | ||||
\(501\) | 19.1222 | + | 30.4328i | 0.854317 | + | 1.35964i | ||||
\(502\) | −7.26746 | − | 1.79291i | −0.324362 | − | 0.0800217i | ||||
\(503\) | 2.97694 | − | 0.335420i | 0.132735 | − | 0.0149556i | −0.0453470 | − | 0.998971i | \(-0.514439\pi\) |
0.178082 | + | 0.984016i | \(0.443011\pi\) | |||||||
\(504\) | 13.7945 | − | 19.5937i | 0.614457 | − | 0.872773i | ||||
\(505\) | 5.16576 | − | 5.16576i | 0.229873 | − | 0.229873i | ||||
\(506\) | −5.19218 | − | 24.7330i | −0.230821 | − | 1.09952i | ||||
\(507\) | 25.0519 | − | 8.76602i | 1.11259 | − | 0.389313i | ||||
\(508\) | 1.13149 | + | 3.63654i | 0.0502016 | + | 0.161345i | ||||
\(509\) | 4.07185 | + | 17.8400i | 0.180482 | + | 0.790742i | 0.981401 | + | 0.191969i | \(0.0614875\pi\) |
−0.800919 | + | 0.598772i | \(0.795655\pi\) | |||||||
\(510\) | 16.8874 | + | 17.4882i | 0.747785 | + | 0.774388i | ||||
\(511\) | 13.2820 | − | 21.1381i | 0.587560 | − | 0.935096i | ||||
\(512\) | 1.01963 | − | 22.6044i | 0.0450616 | − | 0.998984i | ||||
\(513\) | −0.294812 | + | 1.29166i | −0.0130163 | + | 0.0570281i | ||||
\(514\) | −0.803644 | − | 1.33003i | −0.0354472 | − | 0.0586652i | ||||
\(515\) | 12.0468 | + | 15.1062i | 0.530845 | + | 0.665659i | ||||
\(516\) | 29.5233 | + | 15.5111i | 1.29969 | + | 0.682840i | ||||
\(517\) | 2.64423 | − | 1.27340i | 0.116293 | − | 0.0560038i | ||||
\(518\) | 16.7877 | − | 20.3126i | 0.737611 | − | 0.892484i | ||||
\(519\) | −2.61780 | + | 23.2336i | −0.114909 | + | 1.01984i | ||||
\(520\) | 4.72429 | + | 1.93656i | 0.207174 | + | 0.0849238i | ||||
\(521\) | 16.9894i | 0.744321i | 0.928168 | + | 0.372161i | \(0.121383\pi\) | ||||
−0.928168 | + | 0.372161i | \(0.878617\pi\) | |||||||
\(522\) | −19.6949 | − | 0.0383887i | −0.862021 | − | 0.00168023i | ||||
\(523\) | 10.8616i | 0.474943i | 0.971395 | + | 0.237471i | \(0.0763186\pi\) | ||||
−0.971395 | + | 0.237471i | \(0.923681\pi\) | |||||||
\(524\) | −9.92682 | + | 25.4764i | −0.433655 | + | 1.11294i | ||||
\(525\) | −2.73884 | + | 24.3078i | −0.119533 | + | 1.06088i | ||||
\(526\) | 2.53916 | + | 2.09853i | 0.110712 | + | 0.0915004i | ||||
\(527\) | 21.2030 | − | 10.2108i | 0.923617 | − | 0.444791i | ||||
\(528\) | −28.1091 | + | 49.2419i | −1.22329 | + | 2.14298i | ||||
\(529\) | 8.80493 | + | 11.0410i | 0.382823 | + | 0.480045i | ||||
\(530\) | 10.4849 | − | 6.33529i | 0.455435 | − | 0.275187i | ||||
\(531\) | −3.60689 | + | 15.8028i | −0.156526 | + | 0.685784i | ||||
\(532\) | −0.684752 | − | 8.84654i | −0.0296878 | − | 0.383546i | ||||
\(533\) | 4.56170 | − | 7.25990i | 0.197589 | − | 0.314461i | ||||
\(534\) | 30.8368 | − | 29.7774i | 1.33444 | − | 1.28860i | ||||
\(535\) | −4.70528 | − | 20.6152i | −0.203427 | − | 0.891273i | ||||
\(536\) | −3.05068 | − | 10.4447i | −0.131769 | − | 0.451143i | ||||
\(537\) | 17.4908 | − | 6.12031i | 0.754785 | − | 0.264111i | ||||
\(538\) | 20.6313 | − | 4.33111i | 0.889478 | − | 0.186727i | ||||
\(539\) | −15.8284 | + | 15.8284i | −0.681778 | + | 0.681778i | ||||
\(540\) | −1.49004 | + | 2.19704i | −0.0641213 | + | 0.0945454i | ||||
\(541\) | 16.6052 | − | 1.87095i | 0.713912 | − | 0.0804385i | 0.252465 | − | 0.967606i | \(-0.418759\pi\) |
0.461447 | + | 0.887168i | \(0.347330\pi\) | |||||||
\(542\) | 5.98272 | − | 24.2506i | 0.256980 | − | 1.04165i | ||||
\(543\) | 18.6156 | + | 29.6265i | 0.798871 | + | 1.27140i | ||||
\(544\) | 16.7666 | + | 25.2691i | 0.718863 | + | 1.08341i | ||||
\(545\) | 4.90401 | + | 2.36165i | 0.210065 | + | 0.101162i | ||||
\(546\) | 6.09104 | + | 13.2349i | 0.260672 | + | 0.566403i | ||||
\(547\) | −5.45356 | − | 4.34907i | −0.233177 | − | 0.185953i | 0.499930 | − | 0.866066i | \(-0.333359\pi\) |
−0.733107 | + | 0.680113i | \(0.761931\pi\) | |||||||
\(548\) | −44.5867 | − | 6.60870i | −1.90465 | − | 0.282310i | ||||
\(549\) | 10.5414 | − | 30.1256i | 0.449896 | − | 1.28573i | ||||
\(550\) | 0.468241 | − | 26.7919i | 0.0199659 | − | 1.14241i | ||||
\(551\) | −5.63043 | + | 4.63494i | −0.239864 | + | 0.197455i | ||||
\(552\) | −1.04376 | + | 19.8911i | −0.0444253 | + | 0.846621i | ||||
\(553\) | 16.8888 | + | 5.90965i | 0.718185 | + | 0.251304i | ||||
\(554\) | 22.0074 | + | 2.86991i | 0.935004 | + | 0.121931i | ||||
\(555\) | 11.3718 | − | 14.2598i | 0.482708 | − | 0.605296i | ||||
\(556\) | −17.3018 | + | 7.59919i | −0.733758 | + | 0.322277i | ||||
\(557\) | −13.1670 | + | 27.3416i | −0.557905 | + | 1.15850i | 0.411129 | + | 0.911577i | \(0.365134\pi\) |
−0.969035 | + | 0.246925i | \(0.920580\pi\) | |||||||
\(558\) | −9.78917 | − | 12.7252i | −0.414409 | − | 0.538700i | ||||
\(559\) | −7.94836 | + | 4.99429i | −0.336180 | + | 0.211236i | ||||
\(560\) | 5.15712 | − | 17.0145i | 0.217928 | − | 0.718992i | ||||
\(561\) | −8.50823 | − | 75.5126i | −0.359218 | − | 3.18814i | ||||
\(562\) | −9.06122 | − | 5.91688i | −0.382224 | − | 0.249588i | ||||
\(563\) | −1.97550 | − | 1.97550i | −0.0832575 | − | 0.0832575i | 0.664252 | − | 0.747509i | \(-0.268750\pi\) |
−0.747509 | + | 0.664252i | \(0.768750\pi\) | |||||||
\(564\) | −2.27176 | + | 0.435607i | −0.0956584 | + | 0.0183424i | ||||
\(565\) | 0.0273031 | + | 0.0780279i | 0.00114865 | + | 0.00328266i | ||||
\(566\) | −17.9209 | + | 5.92138i | −0.753272 | + | 0.248894i | ||||
\(567\) | −32.1639 | + | 7.34121i | −1.35076 | + | 0.308302i | ||||
\(568\) | −23.2564 | − | 25.8323i | −0.975819 | − | 1.08390i | ||||
\(569\) | 8.20150 | + | 5.15334i | 0.343825 | + | 0.216039i | 0.692863 | − | 0.721069i | \(-0.256349\pi\) |
−0.349039 | + | 0.937108i | \(0.613492\pi\) | |||||||
\(570\) | −0.580859 | − | 6.11373i | −0.0243295 | − | 0.256076i | ||||
\(571\) | 18.4067 | + | 4.20122i | 0.770298 | + | 0.175815i | 0.589570 | − | 0.807718i | \(-0.299297\pi\) |
0.180728 | + | 0.983533i | \(0.442155\pi\) | |||||||
\(572\) | −8.01364 | − | 13.8018i | −0.335067 | − | 0.577084i | ||||
\(573\) | −6.22515 | + | 4.96439i | −0.260059 | + | 0.207390i | ||||
\(574\) | −26.6687 | − | 13.4220i | −1.11313 | − | 0.560224i | ||||
\(575\) | −4.08428 | − | 8.48110i | −0.170326 | − | 0.353686i | ||||
\(576\) | 14.5211 | − | 14.7361i | 0.605046 | − | 0.614005i | ||||
\(577\) | 31.8330 | + | 3.58672i | 1.32523 | + | 0.149317i | 0.746052 | − | 0.665888i | \(-0.231947\pi\) |
0.579173 | + | 0.815205i | \(0.303376\pi\) | |||||||
\(578\) | −15.5717 | − | 5.75611i | −0.647696 | − | 0.239423i | ||||
\(579\) | 9.91040 | 0.411862 | ||||||||
\(580\) | −13.8837 | + | 4.55741i | −0.576488 | + | 0.189236i | ||||
\(581\) | −10.5063 | −0.435873 | ||||||||
\(582\) | 3.97349 | + | 1.46881i | 0.164706 | + | 0.0608842i | ||||
\(583\) | −38.0509 | − | 4.28730i | −1.57591 | − | 0.177562i | ||||
\(584\) | 14.3031 | − | 16.1240i | 0.591866 | − | 0.667217i | ||||
\(585\) | 2.02550 | + | 4.20600i | 0.0837441 | + | 0.173897i | ||||
\(586\) | −41.5596 | − | 20.9164i | −1.71681 | − | 0.864049i | ||||
\(587\) | −0.356758 | + | 0.284505i | −0.0147250 | + | 0.0117428i | −0.630825 | − | 0.775925i | \(-0.717283\pi\) |
0.616100 | + | 0.787668i | \(0.288712\pi\) | |||||||
\(588\) | 15.2574 | − | 8.85877i | 0.629205 | − | 0.365329i | ||||
\(589\) | −5.79585 | − | 1.32286i | −0.238814 | − | 0.0545077i | ||||
\(590\) | 1.13749 | + | 11.9724i | 0.0468296 | + | 0.492897i | ||||
\(591\) | −37.9523 | − | 23.8470i | −1.56115 | − | 0.980934i | ||||
\(592\) | 17.1721 | − | 14.9249i | 0.705771 | − | 0.613409i | ||||
\(593\) | 14.8290 | − | 3.38463i | 0.608955 | − | 0.138990i | 0.0930870 | − | 0.995658i | \(-0.470327\pi\) |
0.515868 | + | 0.856668i | \(0.327469\pi\) | |||||||
\(594\) | 7.87891 | − | 2.60333i | 0.323276 | − | 0.106816i | ||||
\(595\) | 7.86975 | + | 22.4905i | 0.322628 | + | 0.922019i | ||||
\(596\) | −2.46685 | − | 12.8650i | −0.101046 | − | 0.526972i | ||||
\(597\) | −4.95452 | − | 4.95452i | −0.202775 | − | 0.202775i | ||||
\(598\) | −4.69435 | − | 3.06536i | −0.191966 | − | 0.125352i | ||||
\(599\) | −3.68671 | − | 32.7205i | −0.150635 | − | 1.33692i | −0.810588 | − | 0.585616i | \(-0.800852\pi\) |
0.659953 | − | 0.751307i | \(-0.270576\pi\) | |||||||
\(600\) | −5.77202 | + | 20.3154i | −0.235642 | + | 0.829374i | ||||
\(601\) | 22.3617 | − | 14.0508i | 0.912155 | − | 0.573145i | 0.00782019 | − | 0.999969i | \(-0.497511\pi\) |
0.904334 | + | 0.426825i | \(0.140368\pi\) | |||||||
\(602\) | 19.9303 | + | 25.9080i | 0.812300 | + | 1.05593i | ||||
\(603\) | 4.31660 | − | 8.96352i | 0.175786 | − | 0.365023i | ||||
\(604\) | −1.63598 | − | 3.72479i | −0.0665671 | − | 0.151560i | ||||
\(605\) | 21.1224 | − | 26.4866i | 0.858746 | − | 1.07683i | ||||
\(606\) | 17.8468 | + | 2.32734i | 0.724975 | + | 0.0945416i | ||||
\(607\) | −29.3456 | − | 10.2685i | −1.19110 | − | 0.416785i | −0.339315 | − | 0.940673i | \(-0.610195\pi\) |
−0.851787 | + | 0.523888i | \(0.824481\pi\) | |||||||
\(608\) | 0.668508 | − | 7.63147i | 0.0271116 | − | 0.309497i | ||||
\(609\) | −37.8436 | − | 17.5060i | −1.53350 | − | 0.709379i | ||||
\(610\) | 0.413798 | − | 23.6768i | 0.0167542 | − | 0.958644i | ||||
\(611\) | 0.215042 | − | 0.614556i | 0.00869968 | − | 0.0248623i | ||||
\(612\) | −4.06535 | + | 27.4276i | −0.164332 | + | 1.10869i | ||||
\(613\) | −19.6640 | − | 15.6815i | −0.794220 | − | 0.633369i | 0.139966 | − | 0.990156i | \(-0.455301\pi\) |
−0.934186 | + | 0.356787i | \(0.883872\pi\) | |||||||
\(614\) | −3.45517 | − | 7.50758i | −0.139439 | − | 0.302981i | ||||
\(615\) | −18.6177 | − | 8.96580i | −0.750737 | − | 0.361536i | ||||
\(616\) | −45.2045 | + | 32.3247i | −1.82134 | + | 1.30240i | ||||
\(617\) | 18.5673 | + | 29.5496i | 0.747490 | + | 1.18962i | 0.976357 | + | 0.216166i | \(0.0693553\pi\) |
−0.228866 | + | 0.973458i | \(0.573502\pi\) | |||||||
\(618\) | −11.4015 | + | 46.2151i | −0.458635 | + | 1.85904i | ||||
\(619\) | 18.3917 | − | 2.07225i | 0.739226 | − | 0.0832908i | 0.265682 | − | 0.964061i | \(-0.414403\pi\) |
0.473544 | + | 0.880770i | \(0.342974\pi\) | |||||||
\(620\) | −9.85841 | − | 6.68603i | −0.395923 | − | 0.268518i | ||||
\(621\) | 2.06122 | − | 2.06122i | 0.0827139 | − | 0.0827139i | ||||
\(622\) | −3.04532 | + | 0.639301i | −0.122106 | + | 0.0256336i | ||||
\(623\) | 39.6573 | − | 13.8767i | 1.58884 | − | 0.555958i | ||||
\(624\) | 3.31509 | + | 12.1340i | 0.132710 | + | 0.485749i | ||||
\(625\) | −0.172945 | − | 0.757720i | −0.00691778 | − | 0.0303088i | ||||
\(626\) | 11.3785 | − | 10.9876i | 0.454776 | − | 0.439153i | ||||
\(627\) | −10.2130 | + | 16.2539i | −0.407868 | + | 0.649118i | ||||
\(628\) | 29.1439 | − | 2.25584i | 1.16297 | − | 0.0900178i | ||||
\(629\) | −6.78514 | + | 29.7276i | −0.270541 | + | 1.18532i | ||||
\(630\) | 13.9129 | − | 8.40658i | 0.554303 | − | 0.334926i | ||||
\(631\) | 20.2570 | + | 25.4015i | 0.806419 | + | 1.01122i | 0.999549 | + | 0.0300445i | \(0.00956489\pi\) |
−0.193129 | + | 0.981173i | \(0.561864\pi\) | |||||||
\(632\) | 13.5480 | + | 7.42286i | 0.538911 | + | 0.295266i | ||||
\(633\) | −37.9659 | + | 18.2834i | −1.50901 | + | 0.726701i | ||||
\(634\) | 13.4873 | + | 11.1469i | 0.535650 | + | 0.442698i | ||||
\(635\) | −0.289268 | + | 2.56733i | −0.0114793 | + | 0.101881i | ||||
\(636\) | 28.1206 | + | 10.9571i | 1.11505 | + | 0.434477i | ||||
\(637\) | 4.96598i | 0.196759i | ||||||||
\(638\) | 43.0829 | + | 15.1697i | 1.70567 | + | 0.600573i | ||||
\(639\) | − | 31.7804i | − | 1.25721i | ||||||
\(640\) | 6.79971 | − | 13.7615i | 0.268782 | − | 0.543971i | ||||
\(641\) | −3.71681 | + | 32.9876i | −0.146805 | + | 1.30293i | 0.676968 | + | 0.736012i | \(0.263293\pi\) |
−0.823773 | + | 0.566919i | \(0.808135\pi\) | |||||||
\(642\) | 33.1867 | − | 40.1548i | 1.30978 | − | 1.58479i | ||||
\(643\) | 26.1204 | − | 12.5789i | 1.03009 | − | 0.496064i | 0.159045 | − | 0.987271i | \(-0.449158\pi\) |
0.871043 | + | 0.491207i | \(0.163444\pi\) | |||||||
\(644\) | −9.07993 | + | 17.2824i | −0.357800 | + | 0.681023i | ||||
\(645\) | 14.1056 | + | 17.6879i | 0.555408 | + | 0.696459i | ||||
\(646\) | 5.30964 | + | 8.78745i | 0.208905 | + | 0.345738i | ||||
\(647\) | 0.928892 | − | 4.06974i | 0.0365185 | − | 0.159998i | −0.953381 | − | 0.301770i | \(-0.902423\pi\) |
0.989899 | + | 0.141772i | \(0.0452798\pi\) | |||||||
\(648\) | −28.4327 | + | 1.70157i | −1.11694 | + | 0.0668439i | ||||
\(649\) | 20.0000 | − | 31.8298i | 0.785068 | − | 1.24943i | ||||
\(650\) | −4.12937 | − | 4.27628i | −0.161967 | − | 0.167729i | ||||
\(651\) | −7.56350 | − | 33.1379i | −0.296437 | − | 1.29878i | ||||
\(652\) | −21.5419 | + | 6.70263i | −0.843646 | + | 0.262495i | ||||
\(653\) | −2.24407 | + | 0.785233i | −0.0878171 | + | 0.0307285i | −0.373830 | − | 0.927497i | \(-0.621956\pi\) |
0.286013 | + | 0.958226i | \(0.407670\pi\) | |||||||
\(654\) | 2.75500 | + | 13.1235i | 0.107729 | + | 0.513168i | ||||
\(655\) | −13.1155 | + | 13.1155i | −0.512463 | + | 0.512463i | ||||
\(656\) | −20.8146 | − | 15.2049i | −0.812672 | − | 0.593652i | ||||
\(657\) | 19.5829 | − | 2.20647i | 0.764003 | − | 0.0860825i | ||||
\(658\) | −2.20117 | − | 0.543038i | −0.0858104 | − | 0.0211698i | ||||
\(659\) | −9.83419 | − | 15.6510i | −0.383086 | − | 0.609677i | 0.598404 | − | 0.801195i | \(-0.295802\pi\) |
−0.981489 | + | 0.191518i | \(0.938659\pi\) | |||||||
\(660\) | −30.8916 | + | 22.9162i | −1.20246 | + | 0.892010i | ||||
\(661\) | 1.98958 | + | 0.958132i | 0.0773857 | + | 0.0372670i | 0.472176 | − | 0.881504i | \(-0.343469\pi\) |
−0.394791 | + | 0.918771i | \(0.629183\pi\) | |||||||
\(662\) | 27.0973 | − | 12.4708i | 1.05317 | − | 0.484692i | ||||
\(663\) | −13.1803 | − | 10.5109i | −0.511880 | − | 0.408211i | ||||
\(664\) | −8.94815 | − | 1.48655i | −0.347256 | − | 0.0576892i | ||||
\(665\) | 1.98801 | − | 5.68140i | 0.0770916 | − | 0.220315i | ||||
\(666\) | 20.7989 | + | 0.363502i | 0.805941 | + | 0.0140854i | ||||
\(667\) | 15.9149 | − | 2.04387i | 0.616228 | − | 0.0791390i | ||||
\(668\) | −1.06277 | + | 30.3957i | −0.0411199 | + | 1.17604i | ||||
\(669\) | −40.0816 | − | 14.0252i | −1.54965 | − | 0.542245i | ||||
\(670\) | 0.954505 | − | 7.31945i | 0.0368758 | − | 0.282775i | ||||
\(671\) | −46.1505 | + | 57.8709i | −1.78162 | + | 2.23408i | ||||
\(672\) | 40.9704 | − | 15.4880i | 1.58047 | − | 0.597462i | ||||
\(673\) | −8.26809 | + | 17.1689i | −0.318711 | + | 0.661811i | −0.997357 | − | 0.0726548i | \(-0.976853\pi\) |
0.678646 | + | 0.734466i | \(0.262567\pi\) | |||||||
\(674\) | 22.2717 | − | 17.1330i | 0.857873 | − | 0.659940i | ||||
\(675\) | 2.61703 | − | 1.64439i | 0.100730 | − | 0.0632926i | ||||
\(676\) | 21.7083 | + | 5.75977i | 0.834935 | + | 0.221529i | ||||
\(677\) | 3.13527 | + | 27.8263i | 0.120498 | + | 1.06945i | 0.897824 | + | 0.440354i | \(0.145147\pi\) |
−0.777326 | + | 0.629098i | \(0.783424\pi\) | |||||||
\(678\) | −0.111350 | + | 0.170523i | −0.00427636 | + | 0.00654890i | ||||
\(679\) | 2.93595 | + | 2.93595i | 0.112671 | + | 0.112671i | ||||
\(680\) | 3.52044 | + | 20.2686i | 0.135003 | + | 0.777265i | ||||
\(681\) | −1.83208 | − | 5.23578i | −0.0702054 | − | 0.200636i | ||||
\(682\) | 11.6815 | + | 35.3538i | 0.447308 | + | 1.35377i | ||||
\(683\) | −16.9597 | + | 3.87094i | −0.648945 | + | 0.148117i | −0.534308 | − | 0.845290i | \(-0.679428\pi\) |
−0.114637 | + | 0.993407i | \(0.536571\pi\) | |||||||
\(684\) | 5.12281 | − | 4.77668i | 0.195875 | − | 0.182641i | ||||
\(685\) | −25.8900 | − | 16.2678i | −0.989207 | − | 0.621560i | ||||
\(686\) | −15.0711 | + | 1.43189i | −0.575419 | + | 0.0546699i | ||||
\(687\) | −5.40737 | − | 1.23420i | −0.206304 | − | 0.0470876i | ||||
\(688\) | 13.3089 | + | 24.8857i | 0.507396 | + | 0.948760i | ||||
\(689\) | −6.64156 | + | 5.29647i | −0.253023 | + | 0.201779i | ||||
\(690\) | −6.07450 | + | 12.0697i | −0.231252 | + | 0.459484i | ||||
\(691\) | −9.21194 | − | 19.1288i | −0.350439 | − | 0.727694i | 0.649014 | − | 0.760777i | \(-0.275182\pi\) |
−0.999453 | + | 0.0330829i | \(0.989467\pi\) | |||||||
\(692\) | −12.8687 | + | 15.0280i | −0.489193 | + | 0.571277i | ||||
\(693\) | −50.4914 | − | 5.68902i | −1.91801 | − | 0.216108i | ||||
\(694\) | −8.19895 | + | 22.1802i | −0.311228 | + | 0.841947i | ||||
\(695\) | −12.8192 | −0.486260 | ||||||||
\(696\) | −29.7544 | − | 20.2644i | −1.12784 | − | 0.768119i | ||||
\(697\) | 34.5464 | 1.30854 | ||||||||
\(698\) | −1.94319 | + | 5.25680i | −0.0735509 | + | 0.198973i | ||||
\(699\) | 23.8908 | + | 2.69184i | 0.903632 | + | 0.101815i | ||||
\(700\) | −13.4636 | + | 15.7228i | −0.508878 | + | 0.594265i | ||||
\(701\) | −6.87657 | − | 14.2793i | −0.259724 | − | 0.539323i | 0.729805 | − | 0.683656i | \(-0.239611\pi\) |
−0.989529 | + | 0.144332i | \(0.953897\pi\) | |||||||
\(702\) | 0.827577 | − | 1.64434i | 0.0312349 | − | 0.0620617i | ||||
\(703\) | 6.02224 | − | 4.80257i | 0.227133 | − | 0.181133i | ||||
\(704\) | −43.0743 | + | 21.1348i | −1.62342 | + | 0.796548i | ||||
\(705\) | −1.52983 | − | 0.349173i | −0.0576166 | − | 0.0131506i | ||||
\(706\) | 25.8221 | − | 2.45333i | 0.971826 | − | 0.0923322i | ||||
\(707\) | 14.9363 | + | 9.38508i | 0.561736 | + | 0.352962i | ||||
\(708\) | −21.6696 | + | 20.2054i | −0.814392 | + | 0.759367i | ||||
\(709\) | −9.00190 | + | 2.05463i | −0.338073 | + | 0.0771631i | −0.388187 | − | 0.921580i | \(-0.626899\pi\) |
0.0501140 | + | 0.998744i | \(0.484042\pi\) | |||||||
\(710\) | −7.39764 | − | 22.3888i | −0.277629 | − | 0.840236i | ||||
\(711\) | 4.66503 | + | 13.3319i | 0.174952 | + | 0.499985i | ||||
\(712\) | 35.7395 | − | 6.20758i | 1.33940 | − | 0.232639i | ||||
\(713\) | 9.24898 | + | 9.24898i | 0.346377 | + | 0.346377i | ||||
\(714\) | −32.0950 | + | 49.1509i | −1.20113 | + | 1.83943i | ||||
\(715\) | −1.21219 | − | 10.7584i | −0.0453332 | − | 0.402343i | ||||
\(716\) | 15.1564 | + | 4.02138i | 0.566422 | + | 0.150286i | ||||
\(717\) | 17.8007 | − | 11.1849i | 0.664779 | − | 0.417708i | ||||
\(718\) | 3.11219 | − | 2.39413i | 0.116146 | − | 0.0893481i | ||||
\(719\) | −1.80570 | + | 3.74958i | −0.0673413 | + | 0.139836i | −0.931922 | − | 0.362657i | \(-0.881869\pi\) |
0.864581 | + | 0.502493i | \(0.167584\pi\) | |||||||
\(720\) | 13.0391 | − | 5.19131i | 0.485937 | − | 0.193469i | ||||
\(721\) | −29.0886 | + | 36.4759i | −1.08331 | + | 1.35843i | ||||
\(722\) | −3.13923 | + | 24.0726i | −0.116830 | + | 0.895891i | ||||
\(723\) | −13.0932 | − | 4.58151i | −0.486942 | − | 0.170388i | ||||
\(724\) | −1.03461 | + | 29.5904i | −0.0384512 | + | 1.09972i | ||||
\(725\) | 16.9337 | + | 1.64216i | 0.628901 | + | 0.0609884i | ||||
\(726\) | 83.4485 | + | 1.45843i | 3.09706 | + | 0.0541273i | ||||
\(727\) | −2.68664 | + | 7.67798i | −0.0996421 | + | 0.284761i | −0.982904 | − | 0.184119i | \(-0.941057\pi\) |
0.883262 | + | 0.468880i | \(0.155342\pi\) | |||||||
\(728\) | −2.02045 | + | 12.1620i | −0.0748829 | + | 0.450752i | ||||
\(729\) | −14.9378 | − | 11.9125i | −0.553251 | − | 0.441203i | ||||
\(730\) | 13.2823 | − | 6.11282i | 0.491599 | − | 0.226246i | ||||
\(731\) | −34.0768 | − | 16.4105i | −1.26038 | − | 0.606965i | ||||
\(732\) | 46.8546 | − | 34.7579i | 1.73179 | − | 1.28469i | ||||
\(733\) | −13.3022 | − | 21.1703i | −0.491328 | − | 0.781944i | 0.505390 | − | 0.862891i | \(-0.331349\pi\) |
−0.996718 | + | 0.0809466i | \(0.974206\pi\) | |||||||
\(734\) | −1.84144 | − | 0.454292i | −0.0679689 | − | 0.0167682i | ||||
\(735\) | 11.8930 | − | 1.34002i | 0.438681 | − | 0.0494275i | ||||
\(736\) | −10.1787 | + | 13.4347i | −0.375191 | + | 0.495208i | ||||
\(737\) | −16.3149 | + | 16.3149i | −0.600966 | + | 0.600966i | ||||
\(738\) | −4.84205 | − | 23.0652i | −0.178238 | − | 0.849040i | ||||
\(739\) | −30.6055 | + | 10.7093i | −1.12584 | + | 0.393949i | −0.828034 | − | 0.560677i | \(-0.810541\pi\) |
−0.297807 | + | 0.954626i | \(0.596255\pi\) | |||||||
\(740\) | 14.7371 | − | 4.58536i | 0.541747 | − | 0.168561i | ||||
\(741\) | 0.947632 | + | 4.15185i | 0.0348121 | + | 0.152522i | ||||
\(742\) | 20.5475 | + | 21.2785i | 0.754321 | + | 0.781157i | ||||
\(743\) | 5.55297 | − | 8.83750i | 0.203719 | − | 0.324217i | −0.729202 | − | 0.684299i | \(-0.760108\pi\) |
0.932921 | + | 0.360082i | \(0.117251\pi\) | |||||||
\(744\) | −1.75309 | − | 29.2936i | −0.0642715 | − | 1.07396i | ||||
\(745\) | 1.97737 | − | 8.66344i | 0.0724454 | − | 0.317404i | ||||
\(746\) | 1.00046 | + | 1.65577i | 0.0366295 | + | 0.0606219i | ||||
\(747\) | −5.17094 | − | 6.48416i | −0.189195 | − | 0.237243i | ||||
\(748\) | 29.9077 | − | 56.9253i | 1.09354 | − | 2.08139i | ||||
\(749\) | 46.0019 | − | 22.1533i | 1.68087 | − | 0.809466i | ||||
\(750\) | −23.5718 | + | 28.5211i | −0.860721 | + | 1.04144i | ||||
\(751\) | 3.57577 | − | 31.7358i | 0.130482 | − | 1.15806i | −0.742342 | − | 0.670021i | \(-0.766285\pi\) |
0.872823 | − | 0.488036i | \(-0.162287\pi\) | |||||||
\(752\) | −1.79789 | − | 0.773951i | −0.0655625 | − | 0.0282231i | ||||
\(753\) | − | 12.5098i | − | 0.455882i | ||||||
\(754\) | 9.13804 | − | 4.37873i | 0.332788 | − | 0.159464i | ||||
\(755\) | − | 2.75976i | − | 0.100438i | ||||||
\(756\) | −5.97264 | − | 2.32722i | −0.217223 | − | 0.0846402i | ||||
\(757\) | −1.78210 | + | 15.8166i | −0.0647717 | + | 0.574864i | 0.918848 | + | 0.394611i | \(0.129121\pi\) |
−0.983620 | + | 0.180254i | \(0.942308\pi\) | |||||||
\(758\) | −37.5801 | − | 31.0588i | −1.36497 | − | 1.12811i | ||||
\(759\) | 38.0531 | − | 18.3254i | 1.38124 | − | 0.665170i | ||||
\(760\) | 2.49705 | − | 4.55755i | 0.0905776 | − | 0.165320i | ||||
\(761\) | −24.9327 | − | 31.2647i | −0.903811 | − | 1.13334i | −0.990555 | − | 0.137113i | \(-0.956218\pi\) |
0.0867441 | − | 0.996231i | \(-0.472354\pi\) | |||||||
\(762\) | −5.44767 | + | 3.29164i | −0.197348 | + | 0.119244i | ||||
\(763\) | −2.92458 | + | 12.8134i | −0.105877 | + | 0.463877i | ||||
\(764\) | −6.71763 | + | 0.519968i | −0.243035 | + | 0.0188118i | ||||
\(765\) | −10.0071 | + | 15.9263i | −0.361809 | + | 0.575816i | ||||
\(766\) | 3.58295 | − | 3.45987i | 0.129457 | − | 0.125010i | ||||
\(767\) | −1.85573 | − | 8.13050i | −0.0670066 | − | 0.293575i | ||||
\(768\) | 37.0859 | − | 7.39412i | 1.33822 | − | 0.266812i | ||||
\(769\) | 22.7352 | − | 7.95539i | 0.819853 | − | 0.286879i | 0.112421 | − | 0.993661i | \(-0.464139\pi\) |
0.707432 | + | 0.706782i | \(0.249854\pi\) | |||||||
\(770\) | −36.8947 | + | 7.74527i | −1.32959 | + | 0.279120i | ||||
\(771\) | 1.83640 | − | 1.83640i | 0.0661362 | − | 0.0661362i | ||||
\(772\) | 6.94060 | + | 4.70716i | 0.249798 | + | 0.169414i | ||||
\(773\) | 24.9831 | − | 2.81492i | 0.898580 | − | 0.101246i | 0.349423 | − | 0.936965i | \(-0.386378\pi\) |
0.549157 | + | 0.835719i | \(0.314949\pi\) | |||||||
\(774\) | −6.18038 | + | 25.0518i | −0.222149 | + | 0.900467i | ||||
\(775\) | 7.37861 | + | 11.7430i | 0.265047 | + | 0.421820i | ||||
\(776\) | 2.08513 | + | 2.91595i | 0.0748518 | + | 0.104677i | ||||
\(777\) | 39.6791 | + | 19.1085i | 1.42348 | + | 0.685512i | ||||
\(778\) | 10.4229 | + | 22.6475i | 0.373680 | + | 0.811952i | ||||
\(779\) | −6.82295 | − | 5.44112i | −0.244458 | − | 0.194948i | ||||
\(780\) | −1.25111 | + | 8.44079i | −0.0447968 | + | 0.302229i | ||||
\(781\) | −24.3428 | + | 69.5676i | −0.871052 | + | 2.48932i | ||||
\(782\) | 0.394737 | − | 22.5862i | 0.0141158 | − | 0.807679i | ||||
\(783\) | 1.25194 | + | 5.11752i | 0.0447406 | + | 0.182885i | ||||
\(784\) | 14.8930 | + | 1.04273i | 0.531891 | + | 0.0372402i | ||||
\(785\) | 18.7167 | + | 6.54927i | 0.668029 | + | 0.233753i | ||||
\(786\) | −45.3115 | − | 5.90892i | −1.61621 | − | 0.210764i | ||||
\(787\) | 15.5671 | − | 19.5205i | 0.554907 | − | 0.695832i | −0.422700 | − | 0.906270i | \(-0.638918\pi\) |
0.977607 | + | 0.210438i | \(0.0674890\pi\) | |||||||
\(788\) | −15.2527 | − | 34.7271i | −0.543353 | − | 1.23710i | ||||
\(789\) | −2.38863 | + | 4.96005i | −0.0850376 | + | 0.176582i | ||||
\(790\) | 6.38975 | + | 8.30620i | 0.227337 | + | 0.295521i | ||||
\(791\) | −0.169015 | + | 0.106199i | −0.00600947 | + | 0.00377600i | ||||
\(792\) | −42.1985 | − | 11.9894i | −1.49946 | − | 0.426026i | ||||
\(793\) | 1.83857 | + | 16.3178i | 0.0652895 | + | 0.579460i | ||||
\(794\) | −43.1250 | − | 28.1602i | −1.53045 | − | 0.999368i | ||||
\(795\) | 14.4767 | + | 14.4767i | 0.513435 | + | 0.513435i | ||||
\(796\) | −1.11657 | − | 5.82308i | −0.0395757 | − | 0.206394i | ||||
\(797\) | −14.1924 | − | 40.5595i | −0.502720 | − | 1.43669i | −0.863647 | − | 0.504097i | \(-0.831825\pi\) |
0.360927 | − | 0.932594i | \(-0.382460\pi\) | |||||||
\(798\) | 14.0802 | − | 4.65234i | 0.498433 | − | 0.164691i | ||||
\(799\) | 2.55758 | − | 0.583750i | 0.0904806 | − | 0.0206516i | ||||
\(800\) | −13.6916 | + | 11.4861i | −0.484071 | + | 0.406093i | ||||
\(801\) | 28.0828 | + | 17.6456i | 0.992255 | + | 0.623475i | ||||
\(802\) | 1.81334 | + | 19.0860i | 0.0640314 | + | 0.673952i | ||||
\(803\) | −44.5574 | − | 10.1699i | −1.57239 | − | 0.358889i | ||||
\(804\) | 15.7263 | − | 9.13102i | 0.554624 | − | 0.322026i | ||||
\(805\) | −10.3542 | + | 8.25716i | −0.364936 | + | 0.291027i | ||||
\(806\) | 7.37839 | + | 3.71345i | 0.259893 | + | 0.130801i | ||||
\(807\) | 15.2863 | + | 31.7423i | 0.538103 | + | 1.11738i | ||||
\(808\) | 11.3933 | + | 10.1066i | 0.400814 | + | 0.355550i | ||||
\(809\) | −36.0729 | − | 4.06444i | −1.26826 | − | 0.142898i | −0.547924 | − | 0.836528i | \(-0.684582\pi\) |
−0.720331 | + | 0.693630i | \(0.756010\pi\) | |||||||
\(810\) | −18.1238 | − | 6.69950i | −0.636804 | − | 0.235396i | ||||
\(811\) | −7.59558 | −0.266717 | −0.133358 | − | 0.991068i | \(-0.542576\pi\) | ||||
−0.133358 | + | 0.991068i | \(0.542576\pi\) | |||||||
\(812\) | −18.1883 | − | 30.2347i | −0.638286 | − | 1.06103i | ||||
\(813\) | 41.7436 | 1.46401 | ||||||||
\(814\) | −45.2506 | − | 16.7270i | −1.58603 | − | 0.586281i | ||||
\(815\) | −15.2082 | − | 1.71355i | −0.532719 | − | 0.0600230i | ||||
\(816\) | −34.2897 | + | 37.3206i | −1.20038 | + | 1.30648i | ||||
\(817\) | 4.14552 | + | 8.60827i | 0.145033 | + | 0.301165i | ||||
\(818\) | 27.4498 | + | 13.8151i | 0.959759 | + | 0.483035i | ||||
\(819\) | −8.81299 | + | 7.02812i | −0.307951 | + | 0.245583i | ||||
\(820\) | −8.78011 | − | 15.1219i | −0.306615 | − | 0.528081i | ||||
\(821\) | −3.23648 | − | 0.738705i | −0.112954 | − | 0.0257810i | 0.165670 | − | 0.986181i | \(-0.447021\pi\) |
−0.278624 | + | 0.960400i | \(0.589878\pi\) | |||||||
\(822\) | −7.12484 | − | 74.9913i | −0.248507 | − | 2.61562i | ||||
\(823\) | −18.4749 | − | 11.6085i | −0.643994 | − | 0.404648i | 0.170063 | − | 0.985433i | \(-0.445603\pi\) |
−0.814057 | + | 0.580785i | \(0.802746\pi\) | |||||||
\(824\) | −29.9357 | + | 26.9507i | −1.04286 | + | 0.938872i | ||||
\(825\) | 43.6597 | − | 9.96503i | 1.52003 | − | 0.346938i | ||||
\(826\) | −27.5730 | + | 9.11061i | −0.959388 | + | 0.316999i | ||||
\(827\) | −9.91985 | − | 28.3493i | −0.344947 | − | 0.985802i | −0.977436 | − | 0.211232i | \(-0.932252\pi\) |
0.632489 | − | 0.774569i | \(-0.282033\pi\) | |||||||
\(828\) | −15.1351 | + | 2.90214i | −0.525983 | + | 0.100856i | ||||
\(829\) | 11.3244 | + | 11.3244i | 0.393313 | + | 0.393313i | 0.875866 | − | 0.482554i | \(-0.160291\pi\) |
−0.482554 | + | 0.875866i | \(0.660291\pi\) | |||||||
\(830\) | −5.15219 | − | 3.36432i | −0.178835 | − | 0.116777i | ||||
\(831\) | 4.15287 | + | 36.8578i | 0.144062 | + | 1.27858i | ||||
\(832\) | −3.44163 | + | 10.0724i | −0.119317 | + | 0.349199i | ||||
\(833\) | −16.9418 | + | 10.6453i | −0.587000 | + | 0.368837i | ||||
\(834\) | −19.2562 | − | 25.0317i | −0.666789 | − | 0.866777i | ||||
\(835\) | −8.95193 | + | 18.5889i | −0.309794 | + | 0.643294i | ||||
\(836\) | −14.8727 | + | 6.53229i | −0.514382 | + | 0.225924i | ||||
\(837\) | −2.67770 | + | 3.35774i | −0.0925550 | + | 0.116060i | ||||
\(838\) | −46.6156 | − | 6.07899i | −1.61031 | − | 0.209995i | ||||
\(839\) | 46.2406 | + | 16.1803i | 1.59640 | + | 0.558606i | 0.974480 | − | 0.224473i | \(-0.0720659\pi\) |
0.621923 | + | 0.783078i | \(0.286352\pi\) | |||||||
\(840\) | 29.6719 | + | 1.55699i | 1.02378 | + | 0.0537213i | ||||
\(841\) | −11.7654 | + | 26.5062i | −0.405702 | + | 0.914005i | ||||
\(842\) | 0.669101 | − | 38.2847i | 0.0230587 | − | 1.31938i | ||||
\(843\) | 5.97346 | − | 17.0712i | 0.205737 | − | 0.587962i | ||||
\(844\) | −35.2730 | − | 5.22821i | −1.21415 | − | 0.179962i | ||||
\(845\) | 11.9118 | + | 9.49936i | 0.409779 | + | 0.326788i | ||||
\(846\) | −0.748218 | − | 1.62577i | −0.0257243 | − | 0.0558950i | ||||
\(847\) | 73.7011 | + | 35.4926i | 2.53240 | + | 1.21954i | ||||
\(848\) | 14.4895 | + | 21.0301i | 0.497572 | + | 0.722177i | ||||
\(849\) | −16.7817 | − | 26.7079i | −0.575946 | − | 0.916613i | ||||
\(850\) | 5.73698 | − | 23.2545i | 0.196777 | − | 0.797622i | ||||
\(851\) | −16.8411 | + | 1.89753i | −0.577305 | + | 0.0650466i | ||||
\(852\) | 32.6057 | − | 48.0763i | 1.11705 | − | 1.64707i | ||||
\(853\) | 40.3424 | − | 40.3424i | 1.38130 | − | 1.38130i | 0.538981 | − | 0.842318i | \(-0.318810\pi\) |
0.842318 | − | 0.538981i | \(-0.181190\pi\) | |||||||
\(854\) | 55.9596 | − | 11.7476i | 1.91490 | − | 0.401993i | ||||
\(855\) | 4.48485 | − | 1.56932i | 0.153379 | − | 0.0536695i | ||||
\(856\) | 42.3143 | − | 12.3591i | 1.44627 | − | 0.422425i | ||||
\(857\) | −1.70941 | − | 7.48940i | −0.0583922 | − | 0.255833i | 0.937304 | − | 0.348514i | \(-0.113314\pi\) |
−0.995696 | + | 0.0926808i | \(0.970456\pi\) | |||||||
\(858\) | 19.1868 | − | 18.5277i | 0.655028 | − | 0.632526i | ||||
\(859\) | −19.2950 | + | 30.7078i | −0.658337 | + | 1.04774i | 0.336041 | + | 0.941848i | \(0.390912\pi\) |
−0.994378 | + | 0.105890i | \(0.966231\pi\) | |||||||
\(860\) | 1.47741 | + | 19.0872i | 0.0503794 | + | 0.650868i | ||||
\(861\) | 11.1029 | − | 48.6451i | 0.378387 | − | 1.65782i | ||||
\(862\) | −17.0005 | + | 10.2722i | −0.579040 | + | 0.349873i | ||||
\(863\) | 5.47768 | + | 6.86880i | 0.186463 | + | 0.233817i | 0.866273 | − | 0.499572i | \(-0.166509\pi\) |
−0.679810 | + | 0.733388i | \(0.737938\pi\) | |||||||
\(864\) | −4.75760 | − | 2.82717i | −0.161857 | − | 0.0961822i | ||||
\(865\) | −12.0923 | + | 5.82336i | −0.411151 | + | 0.198000i | ||||
\(866\) | 26.3327 | + | 21.7631i | 0.894820 | + | 0.739541i | ||||
\(867\) | 3.10646 | − | 27.5706i | 0.105501 | − | 0.936347i | ||||
\(868\) | 10.4426 | − | 26.8001i | 0.354444 | − | 0.909653i | ||||
\(869\) | − | 32.7569i | − | 1.11120i | ||||||
\(870\) | −12.9524 | − | 20.7031i | −0.439128 | − | 0.701902i | ||||
\(871\) | 5.11860i | 0.173437i | ||||||||
\(872\) | −4.30385 | + | 10.4994i | −0.145747 | + | 0.355554i | ||||
\(873\) | −0.366975 | + | 3.25699i | −0.0124202 | + | 0.110232i | ||||
\(874\) | −3.63533 | + | 4.39862i | −0.122967 | + | 0.148786i | ||||
\(875\) | −32.6742 | + | 15.7350i | −1.10459 | + | 0.531942i | ||||
\(876\) | 31.8882 | + | 16.7536i | 1.07740 | + | 0.566052i | ||||
\(877\) | −23.9137 | − | 29.9868i | −0.807507 | − | 1.01258i | −0.999514 | − | 0.0311883i | \(-0.990071\pi\) |
0.192006 | − | 0.981394i | \(-0.438501\pi\) | |||||||
\(878\) | 20.1471 | + | 33.3435i | 0.679932 | + | 1.12529i | ||||
\(879\) | 17.3024 | − | 75.8069i | 0.583597 | − | 2.55690i | ||||
\(880\) | −32.5190 | + | 1.37634i | −1.09622 | + | 0.0463965i | ||||
\(881\) | 23.8183 | − | 37.9066i | 0.802458 | − | 1.27710i | −0.154822 | − | 0.987942i | \(-0.549480\pi\) |
0.957280 | − | 0.289162i | \(-0.0933768\pi\) | |||||||
\(882\) | 9.48198 | + | 9.81931i | 0.319275 | + | 0.330633i | ||||
\(883\) | 6.84148 | + | 29.9745i | 0.230234 | + | 1.00872i | 0.949446 | + | 0.313931i | \(0.101646\pi\) |
−0.719212 | + | 0.694791i | \(0.755497\pi\) | |||||||
\(884\) | −4.23823 | − | 13.6214i | −0.142547 | − | 0.458139i | ||||
\(885\) | −18.9710 | + | 6.63823i | −0.637703 | + | 0.223142i | ||||
\(886\) | 6.59315 | + | 31.4066i | 0.221501 | + | 1.05512i | ||||
\(887\) | 36.2012 | − | 36.2012i | 1.21552 | − | 1.21552i | 0.246330 | − | 0.969186i | \(-0.420775\pi\) |
0.969186 | − | 0.246330i | \(-0.0792247\pi\) | |||||||
\(888\) | 31.0910 | + | 21.8889i | 1.04334 | + | 0.734544i | ||||
\(889\) | −6.19915 | + | 0.698476i | −0.207913 | + | 0.0234261i | ||||
\(890\) | 23.8913 | + | 5.89409i | 0.800838 | + | 0.197570i | ||||
\(891\) | 32.1334 | + | 51.1400i | 1.07651 | + | 1.71325i | ||||
\(892\) | −21.4090 | − | 28.8600i | −0.716827 | − | 0.966303i | ||||
\(893\) | −0.597067 | − | 0.287532i | −0.0199801 | − | 0.00962190i | ||||
\(894\) | 19.8872 | − | 9.15256i | 0.665126 | − | 0.306107i | ||||
\(895\) | 8.31665 | + | 6.63231i | 0.277995 | + | 0.221694i | ||||
\(896\) | 36.0494 | + | 8.61301i | 1.20433 | + | 0.287740i | ||||
\(897\) | 3.09467 | − | 8.84406i | 0.103328 | − | 0.295294i | ||||
\(898\) | −2.67559 | − | 0.0467612i | −0.0892856 | − | 0.00156044i | ||||
\(899\) | −22.9630 | + | 5.61762i | −0.765859 | + | 0.187358i | ||||
\(900\) | −16.3301 | − | 0.570977i | −0.544338 | − | 0.0190326i | ||||
\(901\) | −32.3064 | − | 11.3045i | −1.07628 | − | 0.376608i | ||||
\(902\) | −7.06788 | + | 54.1987i | −0.235335 | + | 1.80462i | ||||
\(903\) | −34.0599 | + | 42.7097i | −1.13344 | + | 1.42129i | ||||
\(904\) | −0.158976 | + | 0.0665353i | −0.00528746 | + | 0.00221293i | ||||
\(905\) | −8.71476 | + | 18.0964i | −0.289688 | + | 0.601544i | ||||
\(906\) | 5.38892 | − | 4.14556i | 0.179035 | − | 0.137727i | ||||
\(907\) | −19.5641 | + | 12.2930i | −0.649616 | + | 0.408181i | −0.816138 | − | 0.577857i | \(-0.803889\pi\) |
0.166522 | + | 0.986038i | \(0.446746\pi\) | |||||||
\(908\) | 1.20378 | − | 4.53699i | 0.0399488 | − | 0.150565i | ||||
\(909\) | 1.55910 | + | 13.8374i | 0.0517120 | + | 0.458956i | ||||
\(910\) | −4.57265 | + | 7.00264i | −0.151582 | + | 0.232135i | ||||
\(911\) | 15.7666 | + | 15.7666i | 0.522371 | + | 0.522371i | 0.918287 | − | 0.395916i | \(-0.129573\pi\) |
−0.395916 | + | 0.918287i | \(0.629573\pi\) | |||||||
\(912\) | 12.6503 | − | 1.97016i | 0.418894 | − | 0.0652386i | ||||
\(913\) | 6.35259 | + | 18.1547i | 0.210240 | + | 0.600832i | ||||
\(914\) | −6.87825 | − | 20.8168i | −0.227512 | − | 0.688560i | ||||
\(915\) | 38.5833 | − | 8.80638i | 1.27552 | − | 0.291130i | ||||
\(916\) | −3.20076 | − | 3.43270i | −0.105756 | − | 0.113420i | ||||
\(917\) | −37.9220 | − | 23.8280i | −1.25230 | − | 0.786869i | ||||
\(918\) | 7.38383 | − | 0.701530i | 0.243703 | − | 0.0231539i | ||||
\(919\) | 47.5748 | + | 10.8586i | 1.56935 | + | 0.358194i | 0.916735 | − | 0.399497i | \(-0.130815\pi\) |
0.652614 | + | 0.757690i | \(0.273672\pi\) | |||||||
\(920\) | −9.98693 | + | 5.56758i | −0.329259 | + | 0.183558i | ||||
\(921\) | 10.7986 | − | 8.61161i | 0.355826 | − | 0.283762i | ||||
\(922\) | −10.3757 | + | 20.6159i | −0.341707 | + | 0.678949i | ||||
\(923\) | 7.09439 | + | 14.7317i | 0.233515 | + | 0.484898i | ||||
\(924\) | −70.5450 | − | 60.4088i | −2.32076 | − | 1.98730i | ||||
\(925\) | −17.8565 | − | 2.01195i | −0.587120 | − | 0.0661525i | ||||
\(926\) | 16.3743 | − | 44.2963i | 0.538091 | − | 1.45567i | ||||
\(927\) | −36.8286 | −1.20961 | ||||||||
\(928\) | −11.2130 | − | 28.3243i | −0.368085 | − | 0.929792i | ||||
\(929\) | 17.7945 | 0.583820 | 0.291910 | − | 0.956446i | \(-0.405709\pi\) | ||||
0.291910 | + | 0.956446i | \(0.405709\pi\) | |||||||
\(930\) | 6.90236 | − | 18.6726i | 0.226337 | − | 0.612297i | ||||
\(931\) | 5.02269 | + | 0.565921i | 0.164612 | + | 0.0185473i | ||||
\(932\) | 15.4530 | + | 13.2326i | 0.506180 | + | 0.433449i | ||||
\(933\) | −2.25636 | − | 4.68539i | −0.0738700 | − | 0.153393i | ||||
\(934\) | −7.61012 | + | 15.1208i | −0.249011 | + | 0.494768i | ||||
\(935\) | 34.1048 | − | 27.1977i | 1.11535 | − | 0.889458i | ||||
\(936\) | −8.50043 | + | 4.73888i | −0.277845 | + | 0.154895i | ||||
\(937\) | 23.7318 | + | 5.41664i | 0.775285 | + | 0.176954i | 0.591818 | − | 0.806072i | \(-0.298411\pi\) |
0.183468 | + | 0.983026i | \(0.441268\pi\) | |||||||
\(938\) | 17.7435 | − | 1.68579i | 0.579347 | − | 0.0550431i | ||||
\(939\) | 22.3832 | + | 14.0643i | 0.730447 | + | 0.458970i | ||||
\(940\) | −0.905544 | − | 0.971162i | −0.0295356 | − | 0.0316758i | ||||
\(941\) | −55.4467 | + | 12.6554i | −1.80751 | + | 0.412553i | −0.987216 | − | 0.159388i | \(-0.949048\pi\) |
−0.820295 | + | 0.571940i | \(0.806191\pi\) | |||||||
\(942\) | 15.3266 | + | 46.3856i | 0.499368 | + | 1.51132i | ||||
\(943\) | 6.34169 | + | 18.1235i | 0.206514 | + | 0.590182i | ||||
\(944\) | −24.7730 | + | 3.85814i | −0.806291 | + | 0.125572i | ||||
\(945\) | −3.07476 | − | 3.07476i | −0.100022 | − | 0.100022i | ||||
\(946\) | 32.7178 | − | 50.1046i | 1.06375 | − | 1.62904i | ||||
\(947\) | −1.70840 | − | 15.1625i | −0.0555155 | − | 0.492714i | −0.990448 | − | 0.137888i | \(-0.955969\pi\) |
0.934932 | − | 0.354826i | \(-0.115460\pi\) | |||||||
\(948\) | −6.62099 | + | 24.9542i | −0.215040 | + | 0.810475i | ||||
\(949\) | −8.58503 | + | 5.39433i | −0.278682 | + | 0.175107i | ||||
\(950\) | −4.79569 | + | 3.68920i | −0.155593 | + | 0.119694i | ||||
\(951\) | −12.6878 | + | 26.3465i | −0.411430 | + | 0.854343i | ||||
\(952\) | −45.8226 | + | 19.1779i | −1.48512 | + | 0.621559i | ||||
\(953\) | 29.9243 | − | 37.5239i | 0.969343 | − | 1.21552i | −0.00715083 | − | 0.999974i | \(-0.502276\pi\) |
0.976494 | − | 0.215544i | \(-0.0691524\pi\) | |||||||
\(954\) | −3.01945 | + | 23.1541i | −0.0977582 | + | 0.749641i | ||||
\(955\) | −4.31418 | − | 1.50960i | −0.139604 | − | 0.0488494i | ||||
\(956\) | 17.7790 | + | 0.621634i | 0.575013 | + | 0.0201051i | ||||
\(957\) | −7.36807 | + | 75.9782i | −0.238176 | + | 2.45603i | ||||
\(958\) | −36.6766 | − | 0.640995i | −1.18497 | − | 0.0207096i | ||||
\(959\) | 24.3850 | − | 69.6883i | 0.787432 | − | 2.25035i | ||||
\(960\) | 25.0512 | + | 5.52441i | 0.808523 | + | 0.178299i | ||||
\(961\) | 9.17015 | + | 7.31295i | 0.295811 | + | 0.235902i | ||||
\(962\) | −9.72239 | + | 4.47448i | −0.313462 | + | 0.144263i | ||||
\(963\) | 36.3135 | + | 17.4877i | 1.17019 | + | 0.563532i | ||||
\(964\) | −6.99355 | − | 9.42750i | −0.225247 | − | 0.303639i | ||||
\(965\) | 3.02672 | + | 4.81700i | 0.0974336 | + | 0.155065i | ||||
\(966\) | −31.6769 | − | 7.81485i | −1.01919 | − | 0.251439i | ||||
\(967\) | −41.9356 | + | 4.72501i | −1.34856 | + | 0.151946i | −0.756524 | − | 0.653966i | \(-0.773104\pi\) |
−0.592035 | + | 0.805912i | \(0.701675\pi\) | |||||||
\(968\) | 57.7492 | + | 40.6571i | 1.85613 | + | 1.30677i | ||||
\(969\) | −12.1330 | + | 12.1330i | −0.389767 | + | 0.389767i | ||||
\(970\) | 0.499615 | + | 2.37992i | 0.0160417 | + | 0.0764147i | ||||
\(971\) | −19.6281 | + | 6.86817i | −0.629895 | + | 0.220410i | −0.626298 | − | 0.779584i | \(-0.715431\pi\) |
−0.00359722 | + | 0.999994i | \(0.501145\pi\) | |||||||
\(972\) | −12.3986 | − | 39.8485i | −0.397686 | − | 1.27814i | ||||
\(973\) | −6.88783 | − | 30.1776i | −0.220814 | − | 0.967448i | ||||
\(974\) | −4.09457 | − | 4.24023i | −0.131198 | − | 0.135866i | ||||
\(975\) | 5.28565 | − | 8.41207i | 0.169276 | − | 0.269402i | ||||
\(976\) | 49.3229 | − | 2.08756i | 1.57879 | − | 0.0668210i | ||||
\(977\) | 1.47420 | − | 6.45891i | 0.0471639 | − | 0.206639i | −0.945856 | − | 0.324587i | \(-0.894775\pi\) |
0.993020 | + | 0.117948i | \(0.0376318\pi\) | |||||||
\(978\) | −19.4988 | − | 32.2706i | −0.623504 | − | 1.03190i | ||||
\(979\) | −47.9575 | − | 60.1368i | −1.53273 | − | 1.92198i | ||||
\(980\) | 8.96559 | + | 4.71039i | 0.286395 | + | 0.150468i | ||||
\(981\) | −9.34750 | + | 4.50152i | −0.298443 | + | 0.143722i | ||||
\(982\) | −14.6728 | + | 17.7536i | −0.468227 | + | 0.566539i | ||||
\(983\) | −2.15147 | + | 19.0948i | −0.0686213 | + | 0.609031i | 0.911593 | + | 0.411093i | \(0.134853\pi\) |
−0.980215 | + | 0.197938i | \(0.936576\pi\) | |||||||
\(984\) | 16.3392 | − | 39.8600i | 0.520875 | − | 1.27069i | ||||
\(985\) | − | 25.7300i | − | 0.819825i | ||||||
\(986\) | 34.5270 | + | 21.7887i | 1.09956 | + | 0.693895i | ||||
\(987\) | − | 3.78897i | − | 0.120604i | ||||||
\(988\) | −1.30835 | + | 3.35778i | −0.0416241 | + | 0.106825i | ||||
\(989\) | 2.35370 | − | 20.8896i | 0.0748432 | − | 0.664252i | ||||
\(990\) | −22.9389 | − | 18.9583i | −0.729046 | − | 0.602534i | ||||
\(991\) | 4.35015 | − | 2.09492i | 0.138187 | − | 0.0665474i | −0.363512 | − | 0.931589i | \(-0.618423\pi\) |
0.501700 | + | 0.865042i | \(0.332708\pi\) | |||||||
\(992\) | 12.6859 | − | 21.3480i | 0.402777 | − | 0.677800i | ||||
\(993\) | 31.0820 | + | 38.9757i | 0.986359 | + | 1.23686i | ||||
\(994\) | 48.7305 | − | 29.4444i | 1.54564 | − | 0.933919i | ||||
\(995\) | 0.895017 | − | 3.92132i | 0.0283739 | − | 0.124314i | ||||
\(996\) | −1.16989 | − | 15.1142i | −0.0370695 | − | 0.478913i | ||||
\(997\) | −23.2987 | + | 37.0796i | −0.737876 | + | 1.17432i | 0.241130 | + | 0.970493i | \(0.422482\pi\) |
−0.979006 | + | 0.203831i | \(0.934661\pi\) | |||||||
\(998\) | −5.23989 | + | 5.05988i | −0.165866 | + | 0.160168i | ||||
\(999\) | −1.23824 | − | 5.42508i | −0.0391762 | − | 0.171642i |
(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 | 116.2.l.b.95.7 | yes | 144 | |
4.3 | odd | 2 | inner | 116.2.l.b.95.9 | yes | 144 | |
29.11 | odd | 28 | inner | 116.2.l.b.11.9 | yes | 144 | |
116.11 | even | 28 | inner | 116.2.l.b.11.7 | ✓ | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
116.2.l.b.11.7 | ✓ | 144 | 116.11 | even | 28 | inner | |
116.2.l.b.11.9 | yes | 144 | 29.11 | odd | 28 | inner | |
116.2.l.b.95.7 | yes | 144 | 1.1 | even | 1 | trivial | |
116.2.l.b.95.9 | yes | 144 | 4.3 | odd | 2 | inner |