Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [294,2,Mod(41,294)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(294, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([7, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("294.41");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 294 = 2 \cdot 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 294.j (of order \(14\), degree \(6\), 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: | \(2.34760181943\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 251.12 | ||
Character | \(\chi\) | \(=\) | 294.251 |
Dual form | 294.2.j.a.41.12 |
$q$-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 \(\left(\mathbb{Z}/294\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(199\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{9}{14}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.781831 | + | 0.623490i | 0.552838 | + | 0.440874i | ||||
\(3\) | −1.67563 | − | 0.438472i | −0.967427 | − | 0.253152i | ||||
\(4\) | 0.222521 | + | 0.974928i | 0.111260 | + | 0.487464i | ||||
\(5\) | −1.24567 | − | 0.599884i | −0.557082 | − | 0.268276i | 0.134087 | − | 0.990970i | \(-0.457190\pi\) |
−0.691169 | + | 0.722693i | \(0.742904\pi\) | |||||||
\(6\) | −1.03668 | − | 1.38755i | −0.423222 | − | 0.566465i | ||||
\(7\) | 2.35011 | − | 1.21532i | 0.888257 | − | 0.459347i | ||||
\(8\) | −0.433884 | + | 0.900969i | −0.153401 | + | 0.318541i | ||||
\(9\) | 2.61548 | + | 1.46944i | 0.871828 | + | 0.489812i | ||||
\(10\) | −0.599884 | − | 1.24567i | −0.189700 | − | 0.393916i | ||||
\(11\) | 4.74543 | + | 3.78435i | 1.43080 | + | 1.14103i | 0.966905 | + | 0.255136i | \(0.0821203\pi\) |
0.463896 | + | 0.885890i | \(0.346451\pi\) | |||||||
\(12\) | 0.0546156 | − | 1.73119i | 0.0157662 | − | 0.499751i | ||||
\(13\) | 3.67688 | + | 2.93221i | 1.01978 | + | 0.813249i | 0.982539 | − | 0.186057i | \(-0.0595709\pi\) |
0.0372432 | + | 0.999306i | \(0.488142\pi\) | |||||||
\(14\) | 2.59513 | + | 0.515095i | 0.693576 | + | 0.137665i | ||||
\(15\) | 1.82426 | + | 1.55138i | 0.471021 | + | 0.400564i | ||||
\(16\) | −0.900969 | + | 0.433884i | −0.225242 | + | 0.108471i | ||||
\(17\) | 1.02928 | − | 4.50956i | 0.249637 | − | 1.09373i | −0.682290 | − | 0.731082i | \(-0.739016\pi\) |
0.931926 | − | 0.362648i | \(-0.118127\pi\) | |||||||
\(18\) | 1.12869 | + | 2.77958i | 0.266035 | + | 0.655153i | ||||
\(19\) | − | 0.830794i | − | 0.190597i | −0.995449 | − | 0.0952986i | \(-0.969619\pi\) | ||
0.995449 | − | 0.0952986i | \(-0.0303806\pi\) | |||||||
\(20\) | 0.307656 | − | 1.34793i | 0.0687939 | − | 0.301406i | ||||
\(21\) | −4.47080 | + | 1.00597i | −0.975608 | + | 0.219520i | ||||
\(22\) | 1.35062 | + | 5.91746i | 0.287953 | + | 1.26161i | ||||
\(23\) | −6.70486 | + | 1.53034i | −1.39806 | + | 0.319098i | −0.854142 | − | 0.520040i | \(-0.825917\pi\) |
−0.543919 | + | 0.839138i | \(0.683060\pi\) | |||||||
\(24\) | 1.12208 | − | 1.31945i | 0.229043 | − | 0.269331i | ||||
\(25\) | −1.92561 | − | 2.41464i | −0.385122 | − | 0.482928i | ||||
\(26\) | 1.04649 | + | 4.58499i | 0.205234 | + | 0.899191i | ||||
\(27\) | −3.73828 | − | 3.60905i | −0.719433 | − | 0.694562i | ||||
\(28\) | 1.70779 | + | 2.02075i | 0.322743 | + | 0.381886i | ||||
\(29\) | 5.02565 | + | 1.14707i | 0.933240 | + | 0.213006i | 0.661998 | − | 0.749505i | \(-0.269709\pi\) |
0.271242 | + | 0.962511i | \(0.412566\pi\) | |||||||
\(30\) | 0.458992 | + | 2.35032i | 0.0838002 | + | 0.429108i | ||||
\(31\) | 3.29815i | 0.592365i | 0.955131 | + | 0.296182i | \(0.0957136\pi\) | ||||
−0.955131 | + | 0.296182i | \(0.904286\pi\) | |||||||
\(32\) | −0.974928 | − | 0.222521i | −0.172345 | − | 0.0393365i | ||||
\(33\) | −6.29226 | − | 8.42192i | −1.09534 | − | 1.46607i | ||||
\(34\) | 3.61639 | − | 2.88397i | 0.620205 | − | 0.494597i | ||||
\(35\) | −3.65651 | + | 0.104094i | −0.618064 | + | 0.0175951i | ||||
\(36\) | −0.850594 | + | 2.87689i | −0.141766 | + | 0.479481i | ||||
\(37\) | 0.766842 | − | 3.35975i | 0.126068 | − | 0.552340i | −0.871960 | − | 0.489576i | \(-0.837151\pi\) |
0.998028 | − | 0.0627637i | \(-0.0199914\pi\) | |||||||
\(38\) | 0.517992 | − | 0.649541i | 0.0840294 | − | 0.105369i | ||||
\(39\) | −4.87540 | − | 6.52551i | −0.780689 | − | 1.04492i | ||||
\(40\) | 1.08095 | − | 0.862032i | 0.170914 | − | 0.136299i | ||||
\(41\) | 3.21630 | + | 1.54889i | 0.502302 | + | 0.241896i | 0.667836 | − | 0.744308i | \(-0.267221\pi\) |
−0.165535 | + | 0.986204i | \(0.552935\pi\) | |||||||
\(42\) | −4.12262 | − | 2.00100i | −0.636134 | − | 0.308761i | ||||
\(43\) | 2.30191 | − | 1.10854i | 0.351038 | − | 0.169051i | −0.250052 | − | 0.968232i | \(-0.580448\pi\) |
0.601090 | + | 0.799182i | \(0.294733\pi\) | |||||||
\(44\) | −2.63352 | + | 5.46855i | −0.397017 | + | 0.824415i | ||||
\(45\) | −2.37655 | − | 3.39942i | −0.354274 | − | 0.506756i | ||||
\(46\) | −6.19623 | − | 2.98395i | −0.913584 | − | 0.439959i | ||||
\(47\) | −1.68186 | + | 2.10898i | −0.245324 | + | 0.307627i | −0.889214 | − | 0.457491i | \(-0.848748\pi\) |
0.643890 | + | 0.765118i | \(0.277319\pi\) | |||||||
\(48\) | 1.69994 | − | 0.331980i | 0.245365 | − | 0.0479171i | ||||
\(49\) | 4.04601 | − | 5.71225i | 0.578001 | − | 0.816036i | ||||
\(50\) | − | 3.08844i | − | 0.436771i | ||||||
\(51\) | −3.70201 | + | 7.10506i | −0.518385 | + | 0.994907i | ||||
\(52\) | −2.04051 | + | 4.23717i | −0.282968 | + | 0.587590i | ||||
\(53\) | 8.03549 | − | 1.83405i | 1.10376 | − | 0.251926i | 0.368443 | − | 0.929650i | \(-0.379891\pi\) |
0.735316 | + | 0.677724i | \(0.237034\pi\) | |||||||
\(54\) | −0.672501 | − | 5.15245i | −0.0915157 | − | 0.701160i | ||||
\(55\) | −3.64108 | − | 7.56078i | −0.490963 | − | 1.01949i | ||||
\(56\) | 0.0752892 | + | 2.64468i | 0.0100609 | + | 0.353410i | ||||
\(57\) | −0.364280 | + | 1.39211i | −0.0482501 | + | 0.184389i | ||||
\(58\) | 3.21403 | + | 4.03026i | 0.422022 | + | 0.529199i | ||||
\(59\) | −8.71118 | + | 4.19508i | −1.13410 | + | 0.546153i | −0.904220 | − | 0.427066i | \(-0.859547\pi\) |
−0.229879 | + | 0.973219i | \(0.573833\pi\) | |||||||
\(60\) | −1.10655 | + | 2.12373i | −0.142855 | + | 0.274173i | ||||
\(61\) | −6.90429 | − | 1.57586i | −0.884004 | − | 0.201768i | −0.243664 | − | 0.969860i | \(-0.578349\pi\) |
−0.640340 | + | 0.768092i | \(0.721207\pi\) | |||||||
\(62\) | −2.05636 | + | 2.57859i | −0.261158 | + | 0.327482i | ||||
\(63\) | 7.93250 | + | 0.274690i | 0.999401 | + | 0.0346077i | ||||
\(64\) | −0.623490 | − | 0.781831i | −0.0779362 | − | 0.0977289i | ||||
\(65\) | −2.82120 | − | 5.85828i | −0.349926 | − | 0.726630i | ||||
\(66\) | 0.331497 | − | 10.5077i | 0.0408044 | − | 1.29341i | ||||
\(67\) | −9.57648 | −1.16995 | −0.584976 | − | 0.811050i | \(-0.698896\pi\) | ||||
−0.584976 | + | 0.811050i | \(0.698896\pi\) | |||||||
\(68\) | 4.62553 | 0.560928 | ||||||||
\(69\) | 11.9059 | + | 0.375607i | 1.43330 | + | 0.0452178i | ||||
\(70\) | −2.92368 | − | 2.19841i | −0.349446 | − | 0.262761i | ||||
\(71\) | 1.12963 | − | 0.257831i | 0.134063 | − | 0.0305989i | −0.154963 | − | 0.987920i | \(-0.549526\pi\) |
0.289026 | + | 0.957321i | \(0.406669\pi\) | |||||||
\(72\) | −2.45873 | + | 1.71891i | −0.289764 | + | 0.202575i | ||||
\(73\) | −10.6284 | + | 8.47585i | −1.24396 | + | 0.992023i | −0.244206 | + | 0.969723i | \(0.578527\pi\) |
−0.999751 | + | 0.0222993i | \(0.992901\pi\) | |||||||
\(74\) | 2.69431 | − | 2.14864i | 0.313208 | − | 0.249775i | ||||
\(75\) | 2.16786 | + | 4.89037i | 0.250323 | + | 0.564692i | ||||
\(76\) | 0.809965 | − | 0.184869i | 0.0929093 | − | 0.0212059i | ||||
\(77\) | 15.7515 | + | 3.12644i | 1.79505 | + | 0.356291i | ||||
\(78\) | 0.256852 | − | 8.14161i | 0.0290827 | − | 0.921856i | ||||
\(79\) | −15.0627 | −1.69468 | −0.847341 | − | 0.531049i | \(-0.821798\pi\) | ||||
−0.847341 | + | 0.531049i | \(0.821798\pi\) | |||||||
\(80\) | 1.38259 | 0.154578 | ||||||||
\(81\) | 4.68152 | + | 7.68657i | 0.520169 | + | 0.854064i | ||||
\(82\) | 1.54889 | + | 3.21630i | 0.171046 | + | 0.355181i | ||||
\(83\) | 2.44958 | + | 3.07168i | 0.268877 | + | 0.337161i | 0.897879 | − | 0.440243i | \(-0.145108\pi\) |
−0.629002 | + | 0.777404i | \(0.716536\pi\) | |||||||
\(84\) | −1.97559 | − | 4.13486i | −0.215555 | − | 0.451150i | ||||
\(85\) | −3.98736 | + | 4.99999i | −0.432490 | + | 0.542325i | ||||
\(86\) | 2.49087 | + | 0.568525i | 0.268597 | + | 0.0613056i | ||||
\(87\) | −7.91818 | − | 4.12568i | −0.848918 | − | 0.442319i | ||||
\(88\) | −5.46855 | + | 2.63352i | −0.582949 | + | 0.280734i | ||||
\(89\) | −5.74690 | − | 7.20638i | −0.609170 | − | 0.763875i | 0.377606 | − | 0.925966i | \(-0.376747\pi\) |
−0.986776 | + | 0.162091i | \(0.948176\pi\) | |||||||
\(90\) | 0.261448 | − | 4.13953i | 0.0275590 | − | 0.436345i | ||||
\(91\) | 12.2046 | + | 2.42244i | 1.27939 | + | 0.253941i | ||||
\(92\) | −2.98395 | − | 6.19623i | −0.311098 | − | 0.646001i | ||||
\(93\) | 1.44615 | − | 5.52648i | 0.149958 | − | 0.573069i | ||||
\(94\) | −2.62986 | + | 0.600248i | −0.271249 | + | 0.0619109i | ||||
\(95\) | −0.498380 | + | 1.03490i | −0.0511328 | + | 0.106178i | ||||
\(96\) | 1.53605 | + | 0.800342i | 0.156773 | + | 0.0816846i | ||||
\(97\) | − | 14.5502i | − | 1.47735i | −0.674064 | − | 0.738673i | \(-0.735453\pi\) | ||
0.674064 | − | 0.738673i | \(-0.264547\pi\) | |||||||
\(98\) | 6.72483 | − | 1.94337i | 0.679310 | − | 0.196310i | ||||
\(99\) | 6.85073 | + | 16.8710i | 0.688525 | + | 1.69560i | ||||
\(100\) | 1.92561 | − | 2.41464i | 0.192561 | − | 0.241464i | ||||
\(101\) | 9.32141 | + | 4.48895i | 0.927515 | + | 0.446667i | 0.835748 | − | 0.549113i | \(-0.185034\pi\) |
0.0917665 | + | 0.995781i | \(0.470749\pi\) | |||||||
\(102\) | −7.32428 | + | 3.24679i | −0.725212 | + | 0.321480i | ||||
\(103\) | 5.22239 | − | 10.8444i | 0.514577 | − | 1.06853i | −0.468181 | − | 0.883633i | \(-0.655090\pi\) |
0.982758 | − | 0.184898i | \(-0.0591953\pi\) | |||||||
\(104\) | −4.23717 | + | 2.04051i | −0.415489 | + | 0.200089i | ||||
\(105\) | 6.17261 | + | 1.42886i | 0.602385 | + | 0.139442i | ||||
\(106\) | 7.42591 | + | 3.57613i | 0.721268 | + | 0.347344i | ||||
\(107\) | −1.62625 | + | 1.29689i | −0.157216 | + | 0.125376i | −0.698938 | − | 0.715182i | \(-0.746344\pi\) |
0.541722 | + | 0.840557i | \(0.317772\pi\) | |||||||
\(108\) | 2.68672 | − | 4.44764i | 0.258530 | − | 0.427975i | ||||
\(109\) | 10.0298 | − | 12.5770i | 0.960682 | − | 1.20466i | −0.0181179 | − | 0.999836i | \(-0.505767\pi\) |
0.978799 | − | 0.204821i | \(-0.0656611\pi\) | |||||||
\(110\) | 1.86736 | − | 8.18143i | 0.178046 | − | 0.780068i | ||||
\(111\) | −2.75810 | + | 5.29347i | −0.261788 | + | 0.502434i | ||||
\(112\) | −1.59007 | + | 2.11464i | −0.150247 | + | 0.199814i | ||||
\(113\) | −3.80437 | + | 3.03389i | −0.357885 | + | 0.285404i | −0.785882 | − | 0.618376i | \(-0.787791\pi\) |
0.427997 | + | 0.903780i | \(0.359219\pi\) | |||||||
\(114\) | −1.15277 | + | 0.861267i | −0.107967 | + | 0.0806650i | ||||
\(115\) | 9.27009 | + | 2.11584i | 0.864441 | + | 0.197303i | ||||
\(116\) | 5.15490i | 0.478620i | ||||||||
\(117\) | 5.30812 | + | 13.0721i | 0.490736 | + | 1.20851i | ||||
\(118\) | −9.42627 | − | 2.15148i | −0.867758 | − | 0.198060i | ||||
\(119\) | −3.06163 | − | 11.8489i | −0.280659 | − | 1.08618i | ||||
\(120\) | −2.18926 | + | 0.970480i | −0.199851 | + | 0.0885923i | ||||
\(121\) | 5.75004 | + | 25.1926i | 0.522731 | + | 2.29023i | ||||
\(122\) | −4.41546 | − | 5.53681i | −0.399757 | − | 0.501279i | ||||
\(123\) | −4.71019 | − | 4.00562i | −0.424704 | − | 0.361175i | ||||
\(124\) | −3.21545 | + | 0.733907i | −0.288756 | + | 0.0659068i | ||||
\(125\) | 2.48845 | + | 10.9026i | 0.222574 | + | 0.975161i | ||||
\(126\) | 6.03061 | + | 5.16059i | 0.537250 | + | 0.459742i | ||||
\(127\) | −1.33968 | + | 5.86954i | −0.118878 | + | 0.520837i | 0.880064 | + | 0.474854i | \(0.157499\pi\) |
−0.998942 | + | 0.0459832i | \(0.985358\pi\) | |||||||
\(128\) | − | 1.00000i | − | 0.0883883i | ||||||
\(129\) | −4.34322 | + | 0.848183i | −0.382399 | + | 0.0746784i | ||||
\(130\) | 1.44687 | − | 6.33917i | 0.126899 | − | 0.555982i | ||||
\(131\) | −5.66821 | + | 2.72967i | −0.495234 | + | 0.238492i | −0.664793 | − | 0.747028i | \(-0.731480\pi\) |
0.169559 | + | 0.985520i | \(0.445766\pi\) | |||||||
\(132\) | 6.81061 | − | 8.00856i | 0.592787 | − | 0.697055i | ||||
\(133\) | −1.00968 | − | 1.95246i | −0.0875502 | − | 0.169299i | ||||
\(134\) | −7.48719 | − | 5.97084i | −0.646795 | − | 0.515802i | ||||
\(135\) | 2.49166 | + | 6.73823i | 0.214448 | + | 0.579935i | ||||
\(136\) | 3.61639 | + | 2.88397i | 0.310103 | + | 0.247299i | ||||
\(137\) | −9.69084 | − | 20.1232i | −0.827945 | − | 1.71925i | −0.683776 | − | 0.729692i | \(-0.739664\pi\) |
−0.144169 | − | 0.989553i | \(-0.546051\pi\) | |||||||
\(138\) | 9.07422 | + | 7.71687i | 0.772449 | + | 0.656903i | ||||
\(139\) | −0.346981 | + | 0.720513i | −0.0294305 | + | 0.0611131i | −0.915166 | − | 0.403078i | \(-0.867940\pi\) |
0.885735 | + | 0.464191i | \(0.153655\pi\) | |||||||
\(140\) | −0.915135 | − | 3.54167i | −0.0773430 | − | 0.299326i | ||||
\(141\) | 3.74291 | − | 2.79643i | 0.315209 | − | 0.235502i | ||||
\(142\) | 1.04394 | + | 0.502734i | 0.0876053 | + | 0.0421885i | ||||
\(143\) | 6.35184 | + | 27.8292i | 0.531167 | + | 2.32720i | ||||
\(144\) | −2.99403 | − | 0.189100i | −0.249503 | − | 0.0157583i | ||||
\(145\) | −5.57221 | − | 4.44369i | −0.462747 | − | 0.369028i | ||||
\(146\) | −13.5942 | −1.12506 | ||||||||
\(147\) | −9.28429 | + | 7.79757i | −0.765755 | + | 0.643132i | ||||
\(148\) | 3.44616 | 0.283272 | ||||||||
\(149\) | −9.36588 | − | 7.46904i | −0.767283 | − | 0.611888i | 0.159624 | − | 0.987178i | \(-0.448972\pi\) |
−0.926907 | + | 0.375290i | \(0.877543\pi\) | |||||||
\(150\) | −1.35419 | + | 5.17509i | −0.110570 | + | 0.422544i | ||||
\(151\) | −0.0178195 | − | 0.0780722i | −0.00145013 | − | 0.00635342i | 0.974198 | − | 0.225696i | \(-0.0724658\pi\) |
−0.975648 | + | 0.219343i | \(0.929609\pi\) | |||||||
\(152\) | 0.748520 | + | 0.360468i | 0.0607130 | + | 0.0292378i | ||||
\(153\) | 9.31857 | − | 10.2822i | 0.753362 | − | 0.831269i | ||||
\(154\) | 10.3657 | + | 12.2652i | 0.835291 | + | 0.988360i | ||||
\(155\) | 1.97851 | − | 4.10841i | 0.158917 | − | 0.329995i | ||||
\(156\) | 5.27703 | − | 6.20523i | 0.422500 | − | 0.496816i | ||||
\(157\) | −0.754870 | − | 1.56750i | −0.0602452 | − | 0.125100i | 0.868672 | − | 0.495387i | \(-0.164974\pi\) |
−0.928918 | + | 0.370287i | \(0.879259\pi\) | |||||||
\(158\) | −11.7765 | − | 9.39142i | −0.936886 | − | 0.747141i | ||||
\(159\) | −14.2687 | − | 0.450149i | −1.13158 | − | 0.0356991i | ||||
\(160\) | 1.08095 | + | 0.862032i | 0.0854569 | + | 0.0681496i | ||||
\(161\) | −13.8973 | + | 11.7450i | −1.09526 | + | 0.925636i | ||||
\(162\) | −1.13234 | + | 8.92848i | −0.0889652 | + | 0.701488i | ||||
\(163\) | 16.4133 | − | 7.90424i | 1.28559 | − | 0.619108i | 0.338769 | − | 0.940869i | \(-0.389989\pi\) |
0.946821 | + | 0.321762i | \(0.104275\pi\) | |||||||
\(164\) | −0.794360 | + | 3.48032i | −0.0620291 | + | 0.271767i | ||||
\(165\) | 2.78592 | + | 14.2656i | 0.216883 | + | 1.11057i | ||||
\(166\) | 3.92883i | 0.304936i | ||||||||
\(167\) | 1.87055 | − | 8.19541i | 0.144748 | − | 0.634180i | −0.849547 | − | 0.527513i | \(-0.823125\pi\) |
0.994295 | − | 0.106668i | \(-0.0340181\pi\) | |||||||
\(168\) | 1.03346 | − | 4.46452i | 0.0797333 | − | 0.344445i | ||||
\(169\) | 2.02879 | + | 8.88870i | 0.156061 | + | 0.683746i | ||||
\(170\) | −6.23489 | + | 1.42307i | −0.478194 | + | 0.109145i | ||||
\(171\) | 1.22080 | − | 2.17293i | 0.0933568 | − | 0.166168i | ||||
\(172\) | 1.59297 | + | 1.99752i | 0.121463 | + | 0.152310i | ||||
\(173\) | 1.09089 | + | 4.77951i | 0.0829389 | + | 0.363379i | 0.999318 | − | 0.0369330i | \(-0.0117588\pi\) |
−0.916379 | + | 0.400312i | \(0.868902\pi\) | |||||||
\(174\) | −3.61837 | − | 8.16249i | −0.274308 | − | 0.618797i | ||||
\(175\) | −7.45994 | − | 3.33443i | −0.563919 | − | 0.252060i | ||||
\(176\) | −5.91746 | − | 1.35062i | −0.446045 | − | 0.101807i | ||||
\(177\) | 16.4362 | − | 3.20981i | 1.23542 | − | 0.241264i | ||||
\(178\) | − | 9.21731i | − | 0.690866i | ||||||
\(179\) | 5.74722 | + | 1.31176i | 0.429567 | + | 0.0980459i | 0.431837 | − | 0.901952i | \(-0.357865\pi\) |
−0.00227013 | + | 0.999997i | \(0.500723\pi\) | |||||||
\(180\) | 2.78536 | − | 3.07340i | 0.207609 | − | 0.229078i | ||||
\(181\) | −6.48699 | + | 5.17320i | −0.482174 | + | 0.384521i | −0.834194 | − | 0.551472i | \(-0.814067\pi\) |
0.352019 | + | 0.935993i | \(0.385495\pi\) | |||||||
\(182\) | 8.03159 | + | 9.50340i | 0.595341 | + | 0.704439i | ||||
\(183\) | 10.8781 | + | 5.66790i | 0.804131 | + | 0.418983i | ||||
\(184\) | 1.53034 | − | 6.70486i | 0.112818 | − | 0.494289i | ||||
\(185\) | −2.97070 | + | 3.72514i | −0.218410 | + | 0.273877i | ||||
\(186\) | 4.57635 | − | 3.41912i | 0.335554 | − | 0.250702i | ||||
\(187\) | 21.9502 | − | 17.5047i | 1.60515 | − | 1.28007i | ||||
\(188\) | −2.43036 | − | 1.17040i | −0.177252 | − | 0.0853600i | ||||
\(189\) | −13.1715 | − | 3.93846i | −0.958086 | − | 0.286481i | ||||
\(190\) | −1.03490 | + | 0.498380i | −0.0750794 | + | 0.0361563i | ||||
\(191\) | 4.47394 | − | 9.29022i | 0.323723 | − | 0.672217i | −0.674067 | − | 0.738670i | \(-0.735454\pi\) |
0.997790 | + | 0.0664534i | \(0.0211684\pi\) | |||||||
\(192\) | 0.701928 | + | 1.58344i | 0.0506573 | + | 0.114275i | ||||
\(193\) | −9.21730 | − | 4.43882i | −0.663476 | − | 0.319513i | 0.0716639 | − | 0.997429i | \(-0.477169\pi\) |
−0.735140 | + | 0.677916i | \(0.762883\pi\) | |||||||
\(194\) | 9.07188 | − | 11.3758i | 0.651323 | − | 0.816733i | ||||
\(195\) | 2.15860 | + | 11.0533i | 0.154580 | + | 0.791545i | ||||
\(196\) | 6.46935 | + | 2.67347i | 0.462097 | + | 0.190962i | ||||
\(197\) | 4.24217i | 0.302242i | 0.988515 | + | 0.151121i | \(0.0482883\pi\) | ||||
−0.988515 | + | 0.151121i | \(0.951712\pi\) | |||||||
\(198\) | −5.16279 | + | 17.4617i | −0.366904 | + | 1.24095i | ||||
\(199\) | −8.37738 | + | 17.3958i | −0.593857 | + | 1.23316i | 0.360016 | + | 0.932946i | \(0.382771\pi\) |
−0.953873 | + | 0.300211i | \(0.902943\pi\) | |||||||
\(200\) | 3.01101 | − | 0.687242i | 0.212910 | − | 0.0485954i | ||||
\(201\) | 16.0467 | + | 4.19902i | 1.13184 | + | 0.296176i | ||||
\(202\) | 4.48895 | + | 9.32141i | 0.315842 | + | 0.655852i | ||||
\(203\) | 13.2049 | − | 3.41202i | 0.926801 | − | 0.239477i | ||||
\(204\) | −7.75069 | − | 2.02817i | −0.542657 | − | 0.142000i | ||||
\(205\) | −3.07730 | − | 3.85882i | −0.214928 | − | 0.269511i | ||||
\(206\) | 10.8444 | − | 5.22239i | 0.755565 | − | 0.363861i | ||||
\(207\) | −19.7852 | − | 5.84978i | −1.37517 | − | 0.406588i | ||||
\(208\) | −4.58499 | − | 1.04649i | −0.317912 | − | 0.0725613i | ||||
\(209\) | 3.14402 | − | 3.94248i | 0.217476 | − | 0.272707i | ||||
\(210\) | 3.93507 | + | 4.96569i | 0.271545 | + | 0.342665i | ||||
\(211\) | 4.39127 | + | 5.50648i | 0.302308 | + | 0.379082i | 0.909662 | − | 0.415349i | \(-0.136341\pi\) |
−0.607354 | + | 0.794431i | \(0.707769\pi\) | |||||||
\(212\) | 3.57613 | + | 7.42591i | 0.245610 | + | 0.510013i | ||||
\(213\) | −2.00590 | − | 0.0632821i | −0.137442 | − | 0.00433602i | ||||
\(214\) | −2.08006 | −0.142190 | ||||||||
\(215\) | −3.53242 | −0.240909 | ||||||||
\(216\) | 4.87362 | − | 1.80217i | 0.331608 | − | 0.122622i | ||||
\(217\) | 4.00829 | + | 7.75100i | 0.272101 | + | 0.526172i | ||||
\(218\) | 15.6832 | − | 3.57960i | 1.06220 | − | 0.242441i | ||||
\(219\) | 21.5257 | − | 9.54215i | 1.45457 | − | 0.644799i | ||||
\(220\) | 6.56100 | − | 5.23222i | 0.442342 | − | 0.352756i | ||||
\(221\) | 17.0075 | − | 13.5630i | 1.14405 | − | 0.912349i | ||||
\(222\) | −5.45680 | + | 2.41895i | −0.366236 | + | 0.162350i | ||||
\(223\) | 15.5958 | − | 3.55963i | 1.04437 | − | 0.238371i | 0.334275 | − | 0.942476i | \(-0.391509\pi\) |
0.710096 | + | 0.704105i | \(0.248652\pi\) | |||||||
\(224\) | −2.56162 | + | 0.661898i | −0.171155 | + | 0.0442249i | ||||
\(225\) | −1.48825 | − | 9.14501i | −0.0992164 | − | 0.609667i | ||||
\(226\) | −4.86597 | −0.323680 | ||||||||
\(227\) | −8.39289 | −0.557055 | −0.278528 | − | 0.960428i | \(-0.589846\pi\) | ||||
−0.278528 | + | 0.960428i | \(0.589846\pi\) | |||||||
\(228\) | −1.43826 | − | 0.0453743i | −0.0952513 | − | 0.00300499i | ||||
\(229\) | 11.4881 | + | 23.8554i | 0.759158 | + | 1.57641i | 0.816019 | + | 0.578025i | \(0.196176\pi\) |
−0.0568614 | + | 0.998382i | \(0.518109\pi\) | |||||||
\(230\) | 5.92845 | + | 7.43404i | 0.390910 | + | 0.490186i | ||||
\(231\) | −25.0228 | − | 12.1453i | −1.64638 | − | 0.799105i | ||||
\(232\) | −3.21403 | + | 4.03026i | −0.211011 | + | 0.264600i | ||||
\(233\) | −8.71642 | − | 1.98947i | −0.571031 | − | 0.130334i | −0.0727511 | − | 0.997350i | \(-0.523178\pi\) |
−0.498280 | + | 0.867016i | \(0.666035\pi\) | |||||||
\(234\) | −4.00026 | + | 13.5297i | −0.261505 | + | 0.884466i | ||||
\(235\) | 3.36019 | − | 1.61818i | 0.219195 | − | 0.105559i | ||||
\(236\) | −6.02832 | − | 7.55928i | −0.392410 | − | 0.492067i | ||||
\(237\) | 25.2395 | + | 6.60456i | 1.63948 | + | 0.429012i | ||||
\(238\) | 4.99396 | − | 11.1727i | 0.323710 | − | 0.724219i | ||||
\(239\) | −4.79479 | − | 9.95649i | −0.310149 | − | 0.644032i | 0.686383 | − | 0.727241i | \(-0.259198\pi\) |
−0.996532 | + | 0.0832086i | \(0.973483\pi\) | |||||||
\(240\) | −2.31672 | − | 0.606228i | −0.149543 | − | 0.0391319i | ||||
\(241\) | −7.58309 | + | 1.73079i | −0.488470 | + | 0.111490i | −0.459660 | − | 0.888095i | \(-0.652029\pi\) |
−0.0288096 | + | 0.999585i | \(0.509172\pi\) | |||||||
\(242\) | −11.2118 | + | 23.2814i | −0.720719 | + | 1.49659i | ||||
\(243\) | −4.47415 | − | 14.9326i | −0.287017 | − | 0.957926i | ||||
\(244\) | − | 7.08185i | − | 0.453369i | ||||||
\(245\) | −8.46669 | + | 4.68845i | −0.540917 | + | 0.299534i | ||||
\(246\) | −1.18511 | − | 6.06848i | −0.0755598 | − | 0.386912i | ||||
\(247\) | 2.43606 | − | 3.05473i | 0.155003 | − | 0.194368i | ||||
\(248\) | −2.97153 | − | 1.43101i | −0.188692 | − | 0.0908694i | ||||
\(249\) | −2.75775 | − | 6.22108i | −0.174766 | − | 0.394245i | ||||
\(250\) | −4.85213 | + | 10.0755i | −0.306875 | + | 0.637233i | ||||
\(251\) | −21.6571 | + | 10.4295i | −1.36699 | + | 0.658306i | −0.966183 | − | 0.257859i | \(-0.916983\pi\) |
−0.400803 | + | 0.916164i | \(0.631269\pi\) | |||||||
\(252\) | 1.49734 | + | 7.79474i | 0.0943238 | + | 0.491022i | ||||
\(253\) | −37.6088 | − | 18.1115i | −2.36445 | − | 1.13866i | ||||
\(254\) | −4.70701 | + | 3.75371i | −0.295344 | + | 0.235529i | ||||
\(255\) | 8.87370 | − | 6.62980i | 0.555693 | − | 0.415174i | ||||
\(256\) | 0.623490 | − | 0.781831i | 0.0389681 | − | 0.0488645i | ||||
\(257\) | 5.32276 | − | 23.3205i | 0.332025 | − | 1.45470i | −0.483179 | − | 0.875521i | \(-0.660518\pi\) |
0.815204 | − | 0.579174i | \(-0.196625\pi\) | |||||||
\(258\) | −3.92450 | − | 2.04481i | −0.244328 | − | 0.127305i | ||||
\(259\) | −2.28100 | − | 8.82774i | −0.141735 | − | 0.548529i | ||||
\(260\) | 5.08362 | − | 4.05405i | 0.315273 | − | 0.251422i | ||||
\(261\) | 11.4590 | + | 10.3850i | 0.709292 | + | 0.642817i | ||||
\(262\) | −6.13351 | − | 1.39993i | −0.378929 | − | 0.0864882i | ||||
\(263\) | − | 3.51437i | − | 0.216705i | −0.994113 | − | 0.108353i | \(-0.965442\pi\) | ||
0.994113 | − | 0.108353i | \(-0.0345575\pi\) | |||||||
\(264\) | 10.3180 | − | 2.01499i | 0.635029 | − | 0.124014i | ||||
\(265\) | −11.1098 | − | 2.53574i | −0.682470 | − | 0.155769i | ||||
\(266\) | 0.427938 | − | 2.15602i | 0.0262386 | − | 0.132194i | ||||
\(267\) | 6.46989 | + | 14.5951i | 0.395951 | + | 0.893206i | ||||
\(268\) | −2.13097 | − | 9.33637i | −0.130170 | − | 0.570310i | ||||
\(269\) | −3.99917 | − | 5.01481i | −0.243834 | − | 0.305758i | 0.644822 | − | 0.764333i | \(-0.276932\pi\) |
−0.888656 | + | 0.458575i | \(0.848360\pi\) | |||||||
\(270\) | −2.25316 | + | 6.82169i | −0.137123 | + | 0.415155i | ||||
\(271\) | −1.14194 | + | 0.260641i | −0.0693682 | + | 0.0158328i | −0.257064 | − | 0.966394i | \(-0.582755\pi\) |
0.187696 | + | 0.982227i | \(0.439898\pi\) | |||||||
\(272\) | 1.02928 | + | 4.50956i | 0.0624092 | + | 0.273432i | ||||
\(273\) | −19.3883 | − | 9.41051i | −1.17343 | − | 0.569550i | ||||
\(274\) | 4.97003 | − | 21.7751i | 0.300251 | − | 1.31548i | ||||
\(275\) | − | 18.7457i | − | 1.13041i | ||||||
\(276\) | 2.28312 | + | 11.6910i | 0.137428 | + | 0.703714i | ||||
\(277\) | −5.53892 | + | 24.2676i | −0.332801 | + | 1.45810i | 0.480880 | + | 0.876787i | \(0.340317\pi\) |
−0.813681 | + | 0.581312i | \(0.802540\pi\) | |||||||
\(278\) | −0.720513 | + | 0.346981i | −0.0432135 | + | 0.0208105i | ||||
\(279\) | −4.84641 | + | 8.62625i | −0.290147 | + | 0.516440i | ||||
\(280\) | 1.49272 | − | 3.33957i | 0.0892069 | − | 0.199577i | ||||
\(281\) | −11.8913 | − | 9.48300i | −0.709376 | − | 0.565708i | 0.200950 | − | 0.979602i | \(-0.435597\pi\) |
−0.910325 | + | 0.413893i | \(0.864169\pi\) | |||||||
\(282\) | 4.66987 | + | 0.147325i | 0.278087 | + | 0.00877308i | ||||
\(283\) | −11.3731 | − | 9.06971i | −0.676058 | − | 0.539138i | 0.224174 | − | 0.974549i | \(-0.428032\pi\) |
−0.900232 | + | 0.435411i | \(0.856603\pi\) | |||||||
\(284\) | 0.502734 | + | 1.04394i | 0.0298318 | + | 0.0619463i | ||||
\(285\) | 1.28888 | − | 1.51558i | 0.0763464 | − | 0.0897753i | ||||
\(286\) | −12.3852 | + | 25.7181i | −0.732350 | + | 1.52074i | ||||
\(287\) | 9.44104 | − | 0.268769i | 0.557287 | − | 0.0158649i | ||||
\(288\) | −2.22293 | − | 2.01459i | −0.130987 | − | 0.118711i | ||||
\(289\) | −3.96027 | − | 1.90717i | −0.232957 | − | 0.112186i | ||||
\(290\) | −1.58593 | − | 6.94843i | −0.0931292 | − | 0.408026i | ||||
\(291\) | −6.37984 | + | 24.3807i | −0.373993 | + | 1.42922i | ||||
\(292\) | −10.6284 | − | 8.47585i | −0.621979 | − | 0.496011i | ||||
\(293\) | −4.09342 | −0.239140 | −0.119570 | − | 0.992826i | \(-0.538152\pi\) | ||||
−0.119570 | + | 0.992826i | \(0.538152\pi\) | |||||||
\(294\) | −12.1204 | + | 0.307724i | −0.706879 | + | 0.0179469i | ||||
\(295\) | 13.3678 | 0.778306 | ||||||||
\(296\) | 2.69431 | + | 2.14864i | 0.156604 | + | 0.124887i | ||||
\(297\) | −4.08183 | − | 31.2735i | −0.236852 | − | 1.81467i | ||||
\(298\) | −2.66567 | − | 11.6791i | −0.154418 | − | 0.676550i | ||||
\(299\) | −29.1402 | − | 14.0332i | −1.68522 | − | 0.811561i | ||||
\(300\) | −4.28537 | + | 3.20172i | −0.247416 | + | 0.184851i | ||||
\(301\) | 4.06250 | − | 5.40274i | 0.234159 | − | 0.311409i | ||||
\(302\) | 0.0347454 | − | 0.0721495i | 0.00199937 | − | 0.00415174i | ||||
\(303\) | −13.6510 | − | 11.6090i | −0.784227 | − | 0.666920i | ||||
\(304\) | 0.360468 | + | 0.748520i | 0.0206743 | + | 0.0429306i | ||||
\(305\) | 7.65515 | + | 6.10478i | 0.438333 | + | 0.349559i | ||||
\(306\) | 13.6964 | − | 2.22894i | 0.782972 | − | 0.127420i | ||||
\(307\) | −5.41326 | − | 4.31693i | −0.308951 | − | 0.246380i | 0.456723 | − | 0.889609i | \(-0.349023\pi\) |
−0.765674 | + | 0.643229i | \(0.777594\pi\) | |||||||
\(308\) | 0.456978 | + | 16.0522i | 0.0260387 | + | 0.914661i | ||||
\(309\) | −13.5058 | + | 15.8813i | −0.768316 | + | 0.903458i | ||||
\(310\) | 4.10841 | − | 1.97851i | 0.233342 | − | 0.112372i | ||||
\(311\) | −3.10733 | + | 13.6141i | −0.176201 | + | 0.771985i | 0.807162 | + | 0.590330i | \(0.201002\pi\) |
−0.983362 | + | 0.181655i | \(0.941855\pi\) | |||||||
\(312\) | 7.99464 | − | 1.56127i | 0.452607 | − | 0.0883894i | ||||
\(313\) | 17.0194i | 0.961993i | 0.876723 | + | 0.480996i | \(0.159725\pi\) | ||||
−0.876723 | + | 0.480996i | \(0.840275\pi\) | |||||||
\(314\) | 0.387142 | − | 1.69618i | 0.0218477 | − | 0.0957209i | ||||
\(315\) | −9.71651 | − | 5.10076i | −0.547464 | − | 0.287395i | ||||
\(316\) | −3.35176 | − | 14.6850i | −0.188551 | − | 0.826097i | ||||
\(317\) | 6.65967 | − | 1.52003i | 0.374044 | − | 0.0853732i | −0.0313661 | − | 0.999508i | \(-0.509986\pi\) |
0.405410 | + | 0.914135i | \(0.367129\pi\) | |||||||
\(318\) | −10.8751 | − | 9.24833i | −0.609843 | − | 0.518620i | ||||
\(319\) | 19.5080 | + | 24.4622i | 1.09224 | + | 1.36962i | ||||
\(320\) | 0.307656 | + | 1.34793i | 0.0171985 | + | 0.0753514i | ||||
\(321\) | 3.29366 | − | 1.46005i | 0.183834 | − | 0.0814921i | ||||
\(322\) | −18.1882 | + | 0.517786i | −1.01359 | + | 0.0288551i | ||||
\(323\) | −3.74652 | − | 0.855119i | −0.208462 | − | 0.0475801i | ||||
\(324\) | −6.45212 | + | 6.27456i | −0.358451 | + | 0.348587i | ||||
\(325\) | − | 14.5246i | − | 0.805681i | ||||||
\(326\) | 17.7607 | + | 4.05375i | 0.983672 | + | 0.224517i | ||||
\(327\) | −22.3209 | + | 16.6766i | −1.23435 | + | 0.922218i | ||||
\(328\) | −2.79100 | + | 2.22575i | −0.154107 | + | 0.122896i | ||||
\(329\) | −1.38946 | + | 7.00033i | −0.0766036 | + | 0.385941i | ||||
\(330\) | −6.71633 | + | 12.8903i | −0.369722 | + | 0.709586i | ||||
\(331\) | 0.780623 | − | 3.42013i | 0.0429069 | − | 0.187988i | −0.948933 | − | 0.315478i | \(-0.897835\pi\) |
0.991840 | + | 0.127491i | \(0.0406923\pi\) | |||||||
\(332\) | −2.44958 | + | 3.07168i | −0.134438 | + | 0.168580i | ||||
\(333\) | 6.94261 | − | 7.66056i | 0.380452 | − | 0.419796i | ||||
\(334\) | 6.57221 | − | 5.24116i | 0.359615 | − | 0.286784i | ||||
\(335\) | 11.9292 | + | 5.74478i | 0.651759 | + | 0.313871i | ||||
\(336\) | 3.59158 | − | 2.84615i | 0.195937 | − | 0.155270i | ||||
\(337\) | −1.66645 | + | 0.802519i | −0.0907771 | + | 0.0437160i | −0.478721 | − | 0.877967i | \(-0.658900\pi\) |
0.387944 | + | 0.921683i | \(0.373185\pi\) | |||||||
\(338\) | −3.95584 | + | 8.21439i | −0.215169 | + | 0.446804i | ||||
\(339\) | 7.70500 | − | 3.41556i | 0.418478 | − | 0.185508i | ||||
\(340\) | −5.76190 | − | 2.77479i | −0.312483 | − | 0.150484i | ||||
\(341\) | −12.4814 | + | 15.6511i | −0.675903 | + | 0.847556i | ||||
\(342\) | 2.30926 | − | 0.937709i | 0.124870 | − | 0.0507055i | ||||
\(343\) | 2.56637 | − | 18.3416i | 0.138571 | − | 0.990353i | ||||
\(344\) | 2.55493i | 0.137752i | ||||||||
\(345\) | −14.6055 | − | 7.61004i | −0.786335 | − | 0.409711i | ||||
\(346\) | −2.12708 | + | 4.41693i | −0.114353 | + | 0.237456i | ||||
\(347\) | −0.724949 | + | 0.165465i | −0.0389173 | + | 0.00888262i | −0.241935 | − | 0.970292i | \(-0.577782\pi\) |
0.203018 | + | 0.979175i | \(0.434925\pi\) | |||||||
\(348\) | 2.26028 | − | 8.63771i | 0.121164 | − | 0.463030i | ||||
\(349\) | 5.19524 | + | 10.7880i | 0.278095 | + | 0.577470i | 0.992498 | − | 0.122265i | \(-0.0390157\pi\) |
−0.714402 | + | 0.699735i | \(0.753301\pi\) | |||||||
\(350\) | −3.75343 | − | 7.25816i | −0.200629 | − | 0.387965i | ||||
\(351\) | −3.16270 | − | 24.2315i | −0.168813 | − | 1.29338i | ||||
\(352\) | −3.78435 | − | 4.74543i | −0.201707 | − | 0.252932i | ||||
\(353\) | 12.0433 | − | 5.79973i | 0.640999 | − | 0.308689i | −0.0850040 | − | 0.996381i | \(-0.527090\pi\) |
0.726003 | + | 0.687692i | \(0.241376\pi\) | |||||||
\(354\) | 14.8516 | + | 7.73825i | 0.789353 | + | 0.411283i | ||||
\(355\) | −1.56182 | − | 0.356475i | −0.0828929 | − | 0.0189198i | ||||
\(356\) | 5.74690 | − | 7.20638i | 0.304585 | − | 0.381937i | ||||
\(357\) | −0.0652241 | + | 21.1968i | −0.00345202 | + | 1.12185i | ||||
\(358\) | 3.67548 | + | 4.60891i | 0.194255 | + | 0.243588i | ||||
\(359\) | 11.6948 | + | 24.2846i | 0.617230 | + | 1.28169i | 0.941909 | + | 0.335867i | \(0.109029\pi\) |
−0.324680 | + | 0.945824i | \(0.605256\pi\) | |||||||
\(360\) | 4.09392 | − | 0.666239i | 0.215768 | − | 0.0351139i | ||||
\(361\) | 18.3098 | 0.963673 | ||||||||
\(362\) | −8.29717 | −0.436090 | ||||||||
\(363\) | 1.41129 | − | 44.7347i | 0.0740736 | − | 2.34796i | ||||
\(364\) | 0.354078 | + | 12.4377i | 0.0185587 | + | 0.651911i | ||||
\(365\) | 18.3240 | − | 4.18233i | 0.959122 | − | 0.218913i | ||||
\(366\) | 4.97095 | + | 11.2137i | 0.259836 | + | 0.586150i | ||||
\(367\) | 17.7763 | − | 14.1761i | 0.927915 | − | 0.739988i | −0.0378830 | − | 0.999282i | \(-0.512061\pi\) |
0.965798 | + | 0.259294i | \(0.0834900\pi\) | |||||||
\(368\) | 5.37688 | − | 4.28792i | 0.280289 | − | 0.223523i | ||||
\(369\) | 6.13619 | + | 8.77724i | 0.319437 | + | 0.456925i | ||||
\(370\) | −4.64517 | + | 1.06023i | −0.241491 | + | 0.0551187i | ||||
\(371\) | 16.6553 | − | 14.0759i | 0.864701 | − | 0.730783i | ||||
\(372\) | 5.70972 | + | 0.180130i | 0.296035 | + | 0.00933931i | ||||
\(373\) | −9.45599 | −0.489613 | −0.244806 | − | 0.969572i | \(-0.578724\pi\) | ||||
−0.244806 | + | 0.969572i | \(0.578724\pi\) | |||||||
\(374\) | 28.0753 | 1.45174 | ||||||||
\(375\) | 0.610767 | − | 19.3599i | 0.0315399 | − | 0.999742i | ||||
\(376\) | −1.17040 | − | 2.43036i | −0.0603586 | − | 0.125336i | ||||
\(377\) | 15.1152 | + | 18.9539i | 0.778475 | + | 0.976177i | ||||
\(378\) | −7.84231 | − | 11.2915i | −0.403365 | − | 0.580773i | ||||
\(379\) | −16.2076 | + | 20.3237i | −0.832528 | + | 1.04396i | 0.165800 | + | 0.986159i | \(0.446979\pi\) |
−0.998328 | + | 0.0577977i | \(0.981592\pi\) | |||||||
\(380\) | −1.11985 | − | 0.255599i | −0.0574471 | − | 0.0131119i | ||||
\(381\) | 4.81845 | − | 9.24777i | 0.246857 | − | 0.473778i | ||||
\(382\) | 9.29022 | − | 4.47394i | 0.475329 | − | 0.228906i | ||||
\(383\) | −0.874932 | − | 1.09713i | −0.0447069 | − | 0.0560607i | 0.758975 | − | 0.651119i | \(-0.225700\pi\) |
−0.803682 | + | 0.595059i | \(0.797129\pi\) | |||||||
\(384\) | −0.438472 | + | 1.67563i | −0.0223757 | + | 0.0855092i | ||||
\(385\) | −17.7457 | − | 13.3436i | −0.904403 | − | 0.680051i | ||||
\(386\) | −4.43882 | − | 9.21730i | −0.225930 | − | 0.469148i | ||||
\(387\) | 7.64954 | + | 0.483136i | 0.388848 | + | 0.0245592i | ||||
\(388\) | 14.1854 | − | 3.23772i | 0.720153 | − | 0.164370i | ||||
\(389\) | 9.23029 | − | 19.1669i | 0.467994 | − | 0.971800i | −0.524716 | − | 0.851277i | \(-0.675829\pi\) |
0.992711 | − | 0.120523i | \(-0.0384572\pi\) | |||||||
\(390\) | −5.20398 | + | 9.98770i | −0.263514 | + | 0.505747i | ||||
\(391\) | 31.8112i | 1.60876i | ||||||||
\(392\) | 3.39106 | + | 6.12378i | 0.171274 | + | 0.309298i | ||||
\(393\) | 10.6947 | − | 2.08856i | 0.539477 | − | 0.105354i | ||||
\(394\) | −2.64495 | + | 3.31666i | −0.133251 | + | 0.167091i | ||||
\(395\) | 18.7632 | + | 9.03586i | 0.944077 | + | 0.454643i | ||||
\(396\) | −14.9236 | + | 10.4331i | −0.749939 | + | 0.524284i | ||||
\(397\) | −4.51275 | + | 9.37081i | −0.226488 | + | 0.470308i | −0.982984 | − | 0.183691i | \(-0.941195\pi\) |
0.756496 | + | 0.653999i | \(0.226910\pi\) | |||||||
\(398\) | −17.3958 | + | 8.37738i | −0.871974 | + | 0.419920i | ||||
\(399\) | 0.835752 | + | 3.71431i | 0.0418399 | + | 0.185948i | ||||
\(400\) | 2.78259 | + | 1.34002i | 0.139129 | + | 0.0670012i | ||||
\(401\) | −22.6214 | + | 18.0400i | −1.12966 | + | 0.900873i | −0.995929 | − | 0.0901449i | \(-0.971267\pi\) |
−0.133730 | + | 0.991018i | \(0.542696\pi\) | |||||||
\(402\) | 9.92773 | + | 13.2878i | 0.495150 | + | 0.662738i | ||||
\(403\) | −9.67086 | + | 12.1269i | −0.481740 | + | 0.604083i | ||||
\(404\) | −2.30220 | + | 10.0866i | −0.114539 | + | 0.501826i | ||||
\(405\) | −1.22058 | − | 12.3833i | −0.0606512 | − | 0.615332i | ||||
\(406\) | 12.4513 | + | 5.56549i | 0.617950 | + | 0.276210i | ||||
\(407\) | 16.3535 | − | 13.0415i | 0.810613 | − | 0.646442i | ||||
\(408\) | −4.79519 | − | 6.41816i | −0.237397 | − | 0.317746i | ||||
\(409\) | 27.4471 | + | 6.26463i | 1.35717 | + | 0.309766i | 0.838358 | − | 0.545120i | \(-0.183516\pi\) |
0.518816 | + | 0.854886i | \(0.326373\pi\) | |||||||
\(410\) | − | 4.93561i | − | 0.243752i | ||||||
\(411\) | 7.41481 | + | 37.9683i | 0.365745 | + | 1.87284i | ||||
\(412\) | 11.7346 | + | 2.67835i | 0.578122 | + | 0.131953i | ||||
\(413\) | −15.3739 | + | 20.4457i | −0.756498 | + | 1.00607i | ||||
\(414\) | −11.8214 | − | 16.9094i | −0.580991 | − | 0.831053i | ||||
\(415\) | −1.20873 | − | 5.29578i | −0.0593340 | − | 0.259959i | ||||
\(416\) | −2.93221 | − | 3.67688i | −0.143763 | − | 0.180274i | ||||
\(417\) | 0.897337 | − | 1.05517i | 0.0439428 | − | 0.0516721i | ||||
\(418\) | 4.91619 | − | 1.12209i | 0.240459 | − | 0.0548831i | ||||
\(419\) | −3.80551 | − | 16.6730i | −0.185911 | − | 0.814531i | −0.978743 | − | 0.205090i | \(-0.934251\pi\) |
0.792832 | − | 0.609441i | \(-0.208606\pi\) | |||||||
\(420\) | −0.0194958 | + | 6.33580i | −0.000951295 | + | 0.309156i | ||||
\(421\) | 8.47058 | − | 37.1120i | 0.412831 | − | 1.80873i | −0.157739 | − | 0.987481i | \(-0.550420\pi\) |
0.570570 | − | 0.821249i | \(-0.306722\pi\) | |||||||
\(422\) | 7.04305i | 0.342850i | ||||||||
\(423\) | −7.49789 | + | 3.04463i | −0.364560 | + | 0.148035i | ||||
\(424\) | −1.83405 | + | 8.03549i | −0.0890692 | + | 0.390238i | ||||
\(425\) | −12.8710 | + | 6.19832i | −0.624333 | + | 0.300663i | ||||
\(426\) | −1.52882 | − | 1.30013i | −0.0740716 | − | 0.0629917i | ||||
\(427\) | −18.1410 | + | 4.68746i | −0.877904 | + | 0.226842i | ||||
\(428\) | −1.62625 | − | 1.29689i | −0.0786080 | − | 0.0626878i | ||||
\(429\) | 1.55900 | − | 49.4166i | 0.0752690 | − | 2.38586i | ||||
\(430\) | −2.76176 | − | 2.20243i | −0.133184 | − | 0.106211i | ||||
\(431\) | −1.66281 | − | 3.45286i | −0.0800948 | − | 0.166319i | 0.857075 | − | 0.515191i | \(-0.172279\pi\) |
−0.937170 | + | 0.348872i | \(0.886565\pi\) | |||||||
\(432\) | 4.93398 | + | 1.62966i | 0.237386 | + | 0.0784072i | ||||
\(433\) | 7.19915 | − | 14.9492i | 0.345969 | − | 0.718412i | −0.653282 | − | 0.757115i | \(-0.726608\pi\) |
0.999251 | + | 0.0387030i | \(0.0123226\pi\) | |||||||
\(434\) | −1.69886 | + | 8.55910i | −0.0815478 | + | 0.410850i | ||||
\(435\) | 7.38853 | + | 9.88924i | 0.354253 | + | 0.474153i | ||||
\(436\) | 14.4935 | + | 6.97970i | 0.694113 | + | 0.334267i | ||||
\(437\) | 1.27140 | + | 5.57036i | 0.0608193 | + | 0.266467i | ||||
\(438\) | 22.7789 | + | 5.96068i | 1.08842 | + | 0.284812i | ||||
\(439\) | 12.5092 | + | 9.97577i | 0.597032 | + | 0.476117i | 0.874769 | − | 0.484540i | \(-0.161013\pi\) |
−0.277737 | + | 0.960657i | \(0.589584\pi\) | |||||||
\(440\) | 8.39183 | 0.400065 | ||||||||
\(441\) | 18.9761 | − | 8.99495i | 0.903622 | − | 0.428331i | ||||
\(442\) | 21.7534 | 1.03471 | ||||||||
\(443\) | 8.87808 | + | 7.08003i | 0.421810 | + | 0.336383i | 0.811281 | − | 0.584656i | \(-0.198771\pi\) |
−0.389471 | + | 0.921039i | \(0.627342\pi\) | |||||||
\(444\) | −5.77449 | − | 1.51104i | −0.274045 | − | 0.0717110i | ||||
\(445\) | 2.83576 | + | 12.4243i | 0.134428 | + | 0.588967i | ||||
\(446\) | 14.4127 | + | 6.94077i | 0.682459 | + | 0.328655i | ||||
\(447\) | 12.4188 | + | 16.6220i | 0.587389 | + | 0.786196i | ||||
\(448\) | −2.41544 | − | 1.07965i | −0.114119 | − | 0.0510087i | ||||
\(449\) | 5.71113 | − | 11.8593i | 0.269525 | − | 0.559675i | −0.721646 | − | 0.692262i | \(-0.756614\pi\) |
0.991171 | + | 0.132587i | \(0.0423285\pi\) | |||||||
\(450\) | 4.53826 | − | 8.07776i | 0.213936 | − | 0.380789i | ||||
\(451\) | 9.40119 | + | 19.5218i | 0.442685 | + | 0.919244i | ||||
\(452\) | −3.80437 | − | 3.03389i | −0.178943 | − | 0.142702i | ||||
\(453\) | −0.00437361 | + | 0.138634i | −0.000205490 | + | 0.00651357i | ||||
\(454\) | −6.56182 | − | 5.23288i | −0.307962 | − | 0.245591i | ||||
\(455\) | −13.7498 | − | 10.3389i | −0.644599 | − | 0.484696i | ||||
\(456\) | −1.09619 | − | 0.932217i | −0.0513337 | − | 0.0436551i | ||||
\(457\) | 5.57952 | − | 2.68695i | 0.260999 | − | 0.125690i | −0.298809 | − | 0.954313i | \(-0.596589\pi\) |
0.559808 | + | 0.828623i | \(0.310875\pi\) | |||||||
\(458\) | −5.89179 | + | 25.8136i | −0.275305 | + | 1.20619i | ||||
\(459\) | −20.1230 | + | 13.1433i | −0.939260 | + | 0.613477i | ||||
\(460\) | 9.50849i | 0.443336i | ||||||||
\(461\) | −6.01050 | + | 26.3337i | −0.279937 | + | 1.22648i | 0.617935 | + | 0.786229i | \(0.287969\pi\) |
−0.897872 | + | 0.440256i | \(0.854888\pi\) | |||||||
\(462\) | −11.9911 | − | 25.0971i | −0.557877 | − | 1.16762i | ||||
\(463\) | 3.18065 | + | 13.9354i | 0.147817 | + | 0.647631i | 0.993489 | + | 0.113927i | \(0.0363430\pi\) |
−0.845672 | + | 0.533704i | \(0.820800\pi\) | |||||||
\(464\) | −5.02565 | + | 1.14707i | −0.233310 | + | 0.0532515i | ||||
\(465\) | −5.11667 | + | 6.01666i | −0.237280 | + | 0.279016i | ||||
\(466\) | −5.57436 | − | 6.99002i | −0.258227 | − | 0.323807i | ||||
\(467\) | −0.827790 | − | 3.62678i | −0.0383055 | − | 0.167828i | 0.952157 | − | 0.305609i | \(-0.0988600\pi\) |
−0.990463 | + | 0.137781i | \(0.956003\pi\) | |||||||
\(468\) | −11.5632 | + | 8.08384i | −0.534508 | + | 0.373676i | ||||
\(469\) | −22.5058 | + | 11.6385i | −1.03922 | + | 0.537414i | ||||
\(470\) | 3.63602 | + | 0.829898i | 0.167717 | + | 0.0382804i | ||||
\(471\) | 0.577578 | + | 2.95755i | 0.0266134 | + | 0.136277i | ||||
\(472\) | − | 9.66868i | − | 0.445037i | ||||||
\(473\) | 15.1187 | + | 3.45074i | 0.695157 | + | 0.158665i | ||||
\(474\) | 15.6152 | + | 20.9002i | 0.717228 | + | 0.959979i | ||||
\(475\) | −2.00607 | + | 1.59979i | −0.0920447 | + | 0.0734032i | ||||
\(476\) | 10.8705 | − | 5.62149i | 0.498249 | − | 0.257661i | ||||
\(477\) | 23.7117 | + | 7.01071i | 1.08568 | + | 0.320998i | ||||
\(478\) | 2.45905 | − | 10.7738i | 0.112474 | − | 0.492782i | ||||
\(479\) | 11.5472 | − | 14.4797i | 0.527605 | − | 0.661596i | −0.444600 | − | 0.895729i | \(-0.646654\pi\) |
0.972204 | + | 0.234134i | \(0.0752254\pi\) | |||||||
\(480\) | −1.43330 | − | 1.91842i | −0.0654211 | − | 0.0875633i | ||||
\(481\) | 12.6711 | − | 10.1049i | 0.577752 | − | 0.460742i | ||||
\(482\) | −7.00783 | − | 3.37479i | −0.319198 | − | 0.153718i | ||||
\(483\) | 28.4366 | − | 13.5867i | 1.29391 | − | 0.618217i | ||||
\(484\) | −23.2814 | + | 11.2118i | −1.05825 | + | 0.509625i | ||||
\(485\) | −8.72842 | + | 18.1247i | −0.396337 | + | 0.823002i | ||||
\(486\) | 5.81228 | − | 14.4643i | 0.263650 | − | 0.656116i | ||||
\(487\) | 8.99791 | + | 4.33317i | 0.407734 | + | 0.196354i | 0.626497 | − | 0.779424i | \(-0.284488\pi\) |
−0.218763 | + | 0.975778i | \(0.570202\pi\) | |||||||
\(488\) | 4.41546 | − | 5.53681i | 0.199878 | − | 0.250640i | ||||
\(489\) | −30.9685 | + | 6.04781i | −1.40044 | + | 0.273491i | ||||
\(490\) | −9.54273 | − | 1.61331i | −0.431097 | − | 0.0728821i | ||||
\(491\) | 16.5398i | 0.746429i | 0.927745 | + | 0.373214i | \(0.121744\pi\) | ||||
−0.927745 | + | 0.373214i | \(0.878256\pi\) | |||||||
\(492\) | 2.85708 | − | 5.48343i | 0.128807 | − | 0.247212i | ||||
\(493\) | 10.3456 | − | 21.4828i | 0.465942 | − | 0.967538i | ||||
\(494\) | 3.80918 | − | 0.869421i | 0.171383 | − | 0.0391171i | ||||
\(495\) | 1.58689 | − | 25.1254i | 0.0713255 | − | 1.12930i | ||||
\(496\) | −1.43101 | − | 2.97153i | −0.0642543 | − | 0.133426i | ||||
\(497\) | 2.34141 | − | 1.97879i | 0.105027 | − | 0.0887610i | ||||
\(498\) | 1.72268 | − | 6.58327i | 0.0771952 | − | 0.295003i | ||||
\(499\) | −17.2470 | − | 21.6271i | −0.772083 | − | 0.968161i | 0.227902 | − | 0.973684i | \(-0.426813\pi\) |
−0.999985 | + | 0.00552287i | \(0.998242\pi\) | |||||||
\(500\) | −10.0755 | + | 4.85213i | −0.450592 | + | 0.216994i | ||||
\(501\) | −6.72781 | + | 12.9123i | −0.300577 | + | 0.576880i | ||||
\(502\) | −23.4349 | − | 5.34887i | −1.04595 | − | 0.238732i | ||||
\(503\) | 1.52518 | − | 1.91251i | 0.0680043 | − | 0.0852747i | −0.746666 | − | 0.665199i | \(-0.768347\pi\) |
0.814670 | + | 0.579925i | \(0.196918\pi\) | |||||||
\(504\) | −3.68927 | + | 7.02775i | −0.164333 | + | 0.313041i | ||||
\(505\) | −8.91857 | − | 11.1835i | −0.396871 | − | 0.497661i | ||||
\(506\) | −18.1115 | − | 37.6088i | −0.805152 | − | 1.67192i | ||||
\(507\) | 0.497946 | − | 15.7838i | 0.0221146 | − | 0.700981i | ||||
\(508\) | −6.02049 | −0.267116 | ||||||||
\(509\) | 16.8173 | 0.745415 | 0.372707 | − | 0.927949i | \(-0.378429\pi\) | ||||
0.372707 | + | 0.927949i | \(0.378429\pi\) | |||||||
\(510\) | 11.0714 | + | 0.349279i | 0.490248 | + | 0.0154663i | ||||
\(511\) | −14.6770 | + | 32.8360i | −0.649272 | + | 1.45258i | ||||
\(512\) | 0.974928 | − | 0.222521i | 0.0430861 | − | 0.00983413i | ||||
\(513\) | −2.99838 | + | 3.10574i | −0.132382 | + | 0.137122i | ||||
\(514\) | 18.7016 | − | 14.9140i | 0.824893 | − | 0.657830i | ||||
\(515\) | −13.0108 | + | 10.3757i | −0.573323 | + | 0.457210i | ||||
\(516\) | −1.79337 | − | 4.04558i | −0.0789489 | − | 0.178097i | ||||
\(517\) | −15.9623 | + | 3.64329i | −0.702020 | + | 0.160232i | ||||
\(518\) | 3.72064 | − | 8.32399i | 0.163476 | − | 0.365735i | ||||
\(519\) | 0.267748 | − | 8.48702i | 0.0117529 | − | 0.372539i | ||||
\(520\) | 6.50220 | 0.285140 | ||||||||
\(521\) | −39.5633 | −1.73330 | −0.866651 | − | 0.498915i | \(-0.833732\pi\) | ||||
−0.866651 | + | 0.498915i | \(0.833732\pi\) | |||||||
\(522\) | 2.48402 | + | 15.2639i | 0.108723 | + | 0.668082i | ||||
\(523\) | 6.56141 | + | 13.6249i | 0.286911 | + | 0.595776i | 0.993754 | − | 0.111594i | \(-0.0355957\pi\) |
−0.706843 | + | 0.707370i | \(0.749881\pi\) | |||||||
\(524\) | −3.92253 | − | 4.91869i | −0.171356 | − | 0.214874i | ||||
\(525\) | 11.0381 | + | 8.85826i | 0.481740 | + | 0.386606i | ||||
\(526\) | 2.19117 | − | 2.74764i | 0.0955396 | − | 0.119803i | ||||
\(527\) | 14.8732 | + | 3.39471i | 0.647887 | + | 0.147876i | ||||
\(528\) | 9.32327 | + | 4.85778i | 0.405743 | + | 0.211408i | ||||
\(529\) | 21.8910 | − | 10.5421i | 0.951781 | − | 0.458354i | ||||
\(530\) | −7.10498 | − | 8.90937i | −0.308621 | − | 0.386998i | ||||
\(531\) | −28.9484 | − | 1.82835i | −1.25625 | − | 0.0793434i | ||||
\(532\) | 1.67883 | − | 1.41883i | 0.0727865 | − | 0.0615139i | ||||
\(533\) | 7.28427 | + | 15.1259i | 0.315517 | + | 0.655177i | ||||
\(534\) | −4.04153 | + | 15.4448i | −0.174894 | + | 0.668363i | ||||
\(535\) | 2.80377 | − | 0.639942i | 0.121217 | − | 0.0276671i | ||||
\(536\) | 4.15508 | − | 8.62811i | 0.179472 | − | 0.372677i | ||||
\(537\) | −9.05505 | − | 4.71803i | −0.390754 | − | 0.203598i | ||||
\(538\) | − | 6.41418i | − | 0.276535i | ||||||
\(539\) | 40.8172 | − | 11.7955i | 1.75812 | − | 0.508070i | ||||
\(540\) | −6.01484 | + | 3.92859i | −0.258838 | + | 0.169060i | ||||
\(541\) | −16.5668 | + | 20.7741i | −0.712263 | + | 0.893150i | −0.997872 | − | 0.0651963i | \(-0.979233\pi\) |
0.285609 | + | 0.958346i | \(0.407804\pi\) | |||||||
\(542\) | −1.05532 | − | 0.508213i | −0.0453297 | − | 0.0218296i | ||||
\(543\) | 13.1381 | − | 5.82402i | 0.563810 | − | 0.249933i | ||||
\(544\) | −2.00694 | + | 4.16746i | −0.0860470 | + | 0.178678i | ||||
\(545\) | −20.0386 | + | 9.65008i | −0.858359 | + | 0.413364i | ||||
\(546\) | −9.29101 | − | 19.4458i | −0.397619 | − | 0.832204i | ||||
\(547\) | −42.0688 | − | 20.2593i | −1.79873 | − | 0.866224i | −0.925235 | − | 0.379395i | \(-0.876132\pi\) |
−0.873497 | − | 0.486829i | \(-0.838154\pi\) | |||||||
\(548\) | 17.4623 | − | 13.9257i | 0.745952 | − | 0.594877i | ||||
\(549\) | −15.7424 | − | 14.2670i | −0.671871 | − | 0.608903i | ||||
\(550\) | 11.6877 | − | 14.6560i | 0.498367 | − | 0.624933i | ||||
\(551\) | 0.952981 | − | 4.17528i | 0.0405984 | − | 0.177873i | ||||
\(552\) | −5.50419 | + | 10.5639i | −0.234274 | + | 0.449628i | ||||
\(553\) | −35.3989 | + | 18.3059i | −1.50531 | + | 0.778447i | ||||
\(554\) | −19.4611 | + | 15.5197i | −0.826823 | + | 0.659369i | ||||
\(555\) | 6.61116 | − | 4.93939i | 0.280628 | − | 0.209665i | ||||
\(556\) | −0.779659 | − | 0.177952i | −0.0330649 | − | 0.00754685i | ||||
\(557\) | 34.5348i | 1.46329i | 0.681688 | + | 0.731643i | \(0.261246\pi\) | ||||
−0.681688 | + | 0.731643i | \(0.738754\pi\) | |||||||
\(558\) | −9.16746 | + | 3.72258i | −0.388089 | + | 0.157590i | ||||
\(559\) | 11.7143 | + | 2.67371i | 0.495463 | + | 0.113086i | ||||
\(560\) | 3.24924 | − | 1.68029i | 0.137305 | − | 0.0710051i | ||||
\(561\) | −44.4557 | + | 19.7068i | −1.87692 | + | 0.832023i | ||||
\(562\) | −3.38444 | − | 14.8282i | −0.142764 | − | 0.625491i | ||||
\(563\) | 16.1077 | + | 20.1984i | 0.678857 | + | 0.851260i | 0.995248 | − | 0.0973689i | \(-0.0310427\pi\) |
−0.316391 | + | 0.948629i | \(0.602471\pi\) | |||||||
\(564\) | 3.55919 | + | 3.02680i | 0.149869 | + | 0.127451i | ||||
\(565\) | 6.55898 | − | 1.49704i | 0.275938 | − | 0.0629812i | ||||
\(566\) | −3.23694 | − | 14.1820i | −0.136059 | − | 0.596112i | ||||
\(567\) | 20.3437 | + | 12.3747i | 0.854355 | + | 0.519690i | ||||
\(568\) | −0.257831 | + | 1.12963i | −0.0108184 | + | 0.0473983i | ||||
\(569\) | 0.199932i | 0.00838160i | 0.999991 | + | 0.00419080i | \(0.00133398\pi\) | ||||
−0.999991 | + | 0.00419080i | \(0.998666\pi\) | |||||||
\(570\) | 1.95263 | − | 0.381328i | 0.0817868 | − | 0.0159721i | ||||
\(571\) | 10.1609 | − | 44.5177i | 0.425219 | − | 1.86301i | −0.0751135 | − | 0.997175i | \(-0.523932\pi\) |
0.500333 | − | 0.865833i | \(-0.333211\pi\) | |||||||
\(572\) | −25.7181 | + | 12.3852i | −1.07533 | + | 0.517850i | ||||
\(573\) | −11.5702 | + | 13.6053i | −0.483351 | + | 0.568369i | ||||
\(574\) | 7.54888 | + | 5.67626i | 0.315084 | + | 0.236923i | ||||
\(575\) | 16.6062 | + | 13.2430i | 0.692525 | + | 0.552271i | ||||
\(576\) | −0.481877 | − | 2.96105i | −0.0200782 | − | 0.123377i | ||||
\(577\) | 22.9857 | + | 18.3305i | 0.956906 | + | 0.763107i | 0.971562 | − | 0.236785i | \(-0.0760938\pi\) |
−0.0146558 | + | 0.999893i | \(0.504665\pi\) | |||||||
\(578\) | −1.90717 | − | 3.96027i | −0.0793276 | − | 0.164726i | ||||
\(579\) | 13.4985 | + | 11.4794i | 0.560979 | + | 0.477066i | ||||
\(580\) | 3.09234 | − | 6.42131i | 0.128402 | − | 0.266630i | ||||
\(581\) | 9.48985 | + | 4.24176i | 0.393705 | + | 0.175978i | ||||
\(582\) | −20.1891 | + | 15.0838i | −0.836865 | + | 0.625246i | ||||
\(583\) | 45.0725 | + | 21.7058i | 1.86671 | + | 0.898962i | ||||
\(584\) | −3.02499 | − | 13.2534i | −0.125175 | − | 0.548428i | ||||
\(585\) | 1.22956 | − | 19.4678i | 0.0508362 | − | 0.804894i | ||||
\(586\) | −3.20037 | − | 2.55221i | −0.132206 | − | 0.105431i | ||||
\(587\) | 1.85828 | 0.0766994 | 0.0383497 | − | 0.999264i | \(-0.487790\pi\) | ||||
0.0383497 | + | 0.999264i | \(0.487790\pi\) | |||||||
\(588\) | −9.66801 | − | 7.31639i | −0.398702 | − | 0.301723i | ||||
\(589\) | 2.74008 | 0.112903 | ||||||||
\(590\) | 10.4514 | + | 8.33471i | 0.430277 | + | 0.343135i | ||||
\(591\) | 1.86007 | − | 7.10831i | 0.0765132 | − | 0.292397i | ||||
\(592\) | 0.766842 | + | 3.35975i | 0.0315170 | + | 0.138085i | ||||
\(593\) | 19.6723 | + | 9.47366i | 0.807843 | + | 0.389037i | 0.791759 | − | 0.610834i | \(-0.209166\pi\) |
0.0160844 | + | 0.999871i | \(0.494880\pi\) | |||||||
\(594\) | 16.3074 | − | 26.9956i | 0.669100 | − | 1.10764i | ||||
\(595\) | −3.29415 | + | 16.5964i | −0.135047 | + | 0.680387i | ||||
\(596\) | 5.19767 | − | 10.7931i | 0.212905 | − | 0.442102i | ||||
\(597\) | 21.6650 | − | 25.4757i | 0.886689 | − | 1.04265i | ||||
\(598\) | −14.0332 | − | 29.1402i | −0.573860 | − | 1.19163i | ||||
\(599\) | 20.3117 | + | 16.1981i | 0.829915 | + | 0.661835i | 0.943383 | − | 0.331706i | \(-0.107624\pi\) |
−0.113467 | + | 0.993542i | \(0.536196\pi\) | |||||||
\(600\) | −5.34667 | − | 0.168677i | −0.218277 | − | 0.00688620i | ||||
\(601\) | 1.73478 | + | 1.38344i | 0.0707633 | + | 0.0564319i | 0.658233 | − | 0.752815i | \(-0.271304\pi\) |
−0.587469 | + | 0.809246i | \(0.699876\pi\) | |||||||
\(602\) | 6.54475 | − | 1.69110i | 0.266744 | − | 0.0689241i | ||||
\(603\) | −25.0471 | − | 14.0720i | −1.02000 | − | 0.573057i | ||||
\(604\) | 0.0721495 | − | 0.0347454i | 0.00293572 | − | 0.00141377i | ||||
\(605\) | 7.94996 | − | 34.8311i | 0.323212 | − | 1.41608i | ||||
\(606\) | −3.43465 | − | 17.5875i | −0.139523 | − | 0.714444i | ||||
\(607\) | 3.37845i | 0.137127i | 0.997647 | + | 0.0685635i | \(0.0218416\pi\) | ||||
−0.997647 | + | 0.0685635i | \(0.978158\pi\) | |||||||
\(608\) | −0.184869 | + | 0.809965i | −0.00749743 | + | 0.0328484i | ||||
\(609\) | −23.6226 | − | 0.0726885i | −0.957236 | − | 0.00294549i | ||||
\(610\) | 2.17877 | + | 9.54582i | 0.0882159 | + | 0.386499i | ||||
\(611\) | −12.3680 | + | 2.82291i | −0.500354 | + | 0.114203i | ||||
\(612\) | 12.0980 | + | 6.79693i | 0.489033 | + | 0.274749i | ||||
\(613\) | 10.8275 | + | 13.5772i | 0.437318 | + | 0.548379i | 0.950834 | − | 0.309701i | \(-0.100229\pi\) |
−0.513516 | + | 0.858080i | \(0.671657\pi\) | |||||||
\(614\) | −1.54069 | − | 6.75022i | −0.0621774 | − | 0.272417i | ||||
\(615\) | 3.46444 | + | 7.81527i | 0.139700 | + | 0.315142i | ||||
\(616\) | −9.65113 | + | 12.8351i | −0.388855 | + | 0.517140i | ||||
\(617\) | −23.2938 | − | 5.31666i | −0.937774 | − | 0.214041i | −0.273792 | − | 0.961789i | \(-0.588278\pi\) |
−0.663982 | + | 0.747748i | \(0.731135\pi\) | |||||||
\(618\) | −20.4611 | + | 3.99583i | −0.823066 | + | 0.160736i | ||||
\(619\) | − | 10.3257i | − | 0.415025i | −0.978232 | − | 0.207512i | \(-0.933463\pi\) | ||
0.978232 | − | 0.207512i | \(-0.0665367\pi\) | |||||||
\(620\) | 4.44566 | + | 1.01469i | 0.178542 | + | 0.0407511i | ||||
\(621\) | 30.5878 | + | 18.4773i | 1.22744 | + | 0.741470i | ||||
\(622\) | −10.9177 | + | 8.70655i | −0.437758 | + | 0.349101i | ||||
\(623\) | −22.2639 | − | 9.95147i | −0.891983 | − | 0.398697i | ||||
\(624\) | 7.22390 | + | 3.76393i | 0.289187 | + | 0.150678i | ||||
\(625\) | 0.00430567 | − | 0.0188644i | 0.000172227 | − | 0.000754575i | ||||
\(626\) | −10.6114 | + | 13.3063i | −0.424118 | + | 0.531827i | ||||
\(627\) | −6.99689 | + | 5.22757i | −0.279429 | + | 0.208769i | ||||
\(628\) | 1.36023 | − | 1.08475i | 0.0542791 | − | 0.0432861i | ||||
\(629\) | −14.3617 | − | 6.91624i | −0.572640 | − | 0.275769i | ||||
\(630\) | −4.41641 | − | 10.0461i | −0.175954 | − | 0.400245i | ||||
\(631\) | 33.6812 | − | 16.2200i | 1.34083 | − | 0.645708i | 0.380551 | − | 0.924760i | \(-0.375734\pi\) |
0.960276 | + | 0.279052i | \(0.0900201\pi\) | |||||||
\(632\) | 6.53545 | − | 13.5710i | 0.259966 | − | 0.539825i | ||||
\(633\) | −4.94372 | − | 11.1523i | −0.196495 | − | 0.443263i | ||||
\(634\) | 6.15446 | + | 2.96383i | 0.244425 | + | 0.117709i | ||||
\(635\) | 5.18985 | − | 6.50787i | 0.205953 | − | 0.258257i | ||||
\(636\) | −2.73622 | − | 14.0111i | −0.108498 | − | 0.555577i | ||||
\(637\) | 31.6262 | − | 9.13948i | 1.25308 | − | 0.362119i | ||||
\(638\) | 31.2883i | 1.23872i | ||||||||
\(639\) | 3.33340 | + | 0.985569i | 0.131867 | + | 0.0389885i | ||||
\(640\) | −0.599884 | + | 1.24567i | −0.0237125 | + | 0.0492395i | ||||
\(641\) | −23.6755 | + | 5.40378i | −0.935126 | + | 0.213436i | −0.662824 | − | 0.748775i | \(-0.730642\pi\) |
−0.272302 | + | 0.962212i | \(0.587785\pi\) | |||||||
\(642\) | 3.48541 | + | 0.912047i | 0.137558 | + | 0.0359956i | ||||
\(643\) | −15.9437 | − | 33.1074i | −0.628757 | − | 1.30563i | −0.935329 | − | 0.353780i | \(-0.884896\pi\) |
0.306572 | − | 0.951848i | \(-0.400818\pi\) | |||||||
\(644\) | −14.5430 | − | 10.9354i | −0.573073 | − | 0.430913i | ||||
\(645\) | 5.91904 | + | 1.54887i | 0.233062 | + | 0.0609866i | ||||
\(646\) | −2.39599 | − | 3.00448i | −0.0942689 | − | 0.118209i | ||||
\(647\) | −26.0330 | + | 12.5368i | −1.02346 | + | 0.492874i | −0.868836 | − | 0.495099i | \(-0.835132\pi\) |
−0.154626 | + | 0.987973i | \(0.549417\pi\) | |||||||
\(648\) | −8.95660 | + | 0.882822i | −0.351848 | + | 0.0346805i | ||||
\(649\) | −57.2140 | − | 13.0587i | −2.24585 | − | 0.512600i | ||||
\(650\) | 9.05596 | − | 11.3558i | 0.355204 | − | 0.445412i | ||||
\(651\) | −3.31783 | − | 14.7453i | −0.130036 | − | 0.577916i | ||||
\(652\) | 11.3584 | + | 14.2429i | 0.444828 | + | 0.557797i | ||||
\(653\) | −7.58709 | − | 15.7548i | −0.296906 | − | 0.616531i | 0.698139 | − | 0.715963i | \(-0.254012\pi\) |
−0.995044 | + | 0.0994314i | \(0.968298\pi\) | |||||||
\(654\) | −27.8489 | − | 0.878577i | −1.08898 | − | 0.0343551i | ||||
\(655\) | 8.69822 | 0.339868 | ||||||||
\(656\) | −3.56982 | −0.139378 | ||||||||
\(657\) | −40.2531 | + | 6.55073i | −1.57042 | + | 0.255568i | ||||
\(658\) | −5.45096 | + | 4.60676i | −0.212501 | + | 0.179590i | ||||
\(659\) | 19.0078 | − | 4.33840i | 0.740438 | − | 0.169000i | 0.164366 | − | 0.986399i | \(-0.447442\pi\) |
0.576072 | + | 0.817399i | \(0.304585\pi\) | |||||||
\(660\) | −13.2880 | + | 5.89046i | −0.517234 | + | 0.229286i | ||||
\(661\) | −32.3616 | + | 25.8076i | −1.25872 | + | 1.00380i | −0.259446 | + | 0.965758i | \(0.583540\pi\) |
−0.999276 | + | 0.0380399i | \(0.987889\pi\) | |||||||
\(662\) | 2.74273 | − | 2.18726i | 0.106599 | − | 0.0850102i | ||||
\(663\) | −34.4454 | + | 15.2693i | −1.33775 | + | 0.593012i | ||||
\(664\) | −3.83032 | + | 0.874247i | −0.148645 | + | 0.0339273i | ||||
\(665\) | 0.0864809 | + | 3.03781i | 0.00335359 | + | 0.117801i | ||||
\(666\) | 10.2042 | − | 1.66062i | 0.395406 | − | 0.0643478i | ||||
\(667\) | −35.4517 | −1.37270 | ||||||||
\(668\) | 8.40618 | 0.325245 | ||||||||
\(669\) | −27.6936 | − | 0.873677i | −1.07070 | − | 0.0337783i | ||||
\(670\) | 5.74478 | + | 11.9292i | 0.221940 | + | 0.460863i | ||||
\(671\) | −26.8002 | − | 33.6064i | −1.03461 | − | 1.29736i | ||||
\(672\) | 4.58255 | + | 0.0141009i | 0.176776 | + | 0.000543953i | ||||
\(673\) | −17.9759 | + | 22.5411i | −0.692920 | + | 0.868894i | −0.996472 | − | 0.0839208i | \(-0.973256\pi\) |
0.303553 | + | 0.952815i | \(0.401827\pi\) | |||||||
\(674\) | −1.80324 | − | 0.411578i | −0.0694583 | − | 0.0158534i | ||||
\(675\) | −1.51608 | + | 15.9762i | −0.0583539 | + | 0.614925i | ||||
\(676\) | −8.21439 | + | 3.95584i | −0.315938 | + | 0.152148i | ||||
\(677\) | 29.3180 | + | 36.7636i | 1.12678 | + | 1.41294i | 0.898296 | + | 0.439392i | \(0.144806\pi\) |
0.228486 | + | 0.973547i | \(0.426623\pi\) | |||||||
\(678\) | 8.15358 | + | 2.13359i | 0.313136 | + | 0.0819402i | ||||
\(679\) | −17.6831 | − | 34.1945i | −0.678614 | − | 1.31226i | ||||
\(680\) | −2.77479 | − | 5.76190i | −0.106408 | − | 0.220959i | ||||
\(681\) | 14.0634 | + | 3.68005i | 0.538910 | + | 0.141020i | ||||
\(682\) | −19.5166 | + | 4.45454i | −0.747331 | + | 0.170573i | ||||
\(683\) | 6.92481 | − | 14.3795i | 0.264971 | − | 0.550217i | −0.725454 | − | 0.688270i | \(-0.758370\pi\) |
0.990425 | + | 0.138053i | \(0.0440845\pi\) | |||||||
\(684\) | 2.39010 | + | 0.706669i | 0.0913879 | + | 0.0270202i | ||||
\(685\) | 30.8804i | 1.17988i | ||||||||
\(686\) | 13.4423 | − | 12.7399i | 0.513228 | − | 0.486413i | ||||
\(687\) | −8.78998 | − | 45.0100i | −0.335359 | − | 1.71724i | ||||
\(688\) | −1.59297 | + | 1.99752i | −0.0607314 | + | 0.0761548i | ||||
\(689\) | 34.9233 | + | 16.8182i | 1.33047 | + | 0.640722i | ||||
\(690\) | −6.67428 | − | 15.0562i | −0.254085 | − | 0.573179i | ||||
\(691\) | −0.799031 | + | 1.65921i | −0.0303966 | + | 0.0631191i | −0.915614 | − | 0.402058i | \(-0.868295\pi\) |
0.885218 | + | 0.465177i | \(0.154009\pi\) | |||||||
\(692\) | −4.41693 | + | 2.12708i | −0.167906 | + | 0.0808595i | ||||
\(693\) | 36.6036 | + | 31.3229i | 1.39046 | + | 1.18986i | ||||
\(694\) | −0.669953 | − | 0.322632i | −0.0254311 | − | 0.0122470i | ||||
\(695\) | 0.864449 | − | 0.689375i | 0.0327904 | − | 0.0261495i | ||||
\(696\) | 7.15268 | − | 5.34397i | 0.271122 | − | 0.202563i | ||||
\(697\) | 10.2953 | − | 12.9099i | 0.389961 | − | 0.488996i | ||||
\(698\) | −2.66443 | + | 11.6736i | −0.100850 | + | 0.441853i | ||||
\(699\) | 13.7332 | + | 7.15552i | 0.519437 | + | 0.270647i | ||||
\(700\) | 1.59084 | − | 8.01489i | 0.0601281 | − | 0.302934i | ||||
\(701\) | −5.66440 | + | 4.51721i | −0.213941 | + | 0.170613i | −0.724597 | − | 0.689173i | \(-0.757974\pi\) |
0.510656 | + | 0.859785i | \(0.329403\pi\) | |||||||
\(702\) | 12.6354 | − | 20.9168i | 0.476891 | − | 0.789455i | ||||
\(703\) | −2.79126 | − | 0.637088i | −0.105275 | − | 0.0240282i | ||||
\(704\) | − | 6.06963i | − | 0.228758i | ||||||
\(705\) | −6.33997 | + | 1.23813i | −0.238777 | + | 0.0466306i | ||||
\(706\) | 13.0319 | + | 2.97444i | 0.490461 | + | 0.111945i | ||||
\(707\) | 27.3618 | − | 0.778940i | 1.02905 | − | 0.0292951i | ||||
\(708\) | 6.78672 | + | 15.3098i | 0.255060 | + | 0.575378i | ||||
\(709\) | 0.312107 | + | 1.36743i | 0.0117214 | + | 0.0513549i | 0.980450 | − | 0.196766i | \(-0.0630440\pi\) |
−0.968729 | + | 0.248121i | \(0.920187\pi\) | |||||||
\(710\) | −0.998822 | − | 1.25248i | −0.0374851 | − | 0.0470049i | ||||
\(711\) | −39.3962 | − | 22.1336i | −1.47747 | − | 0.830076i | ||||
\(712\) | 8.98621 | − | 2.05104i | 0.336773 | − | 0.0768661i | ||||
\(713\) | −5.04729 | − | 22.1136i | −0.189023 | − | 0.828162i | ||||
\(714\) | −13.2670 | + | 16.5316i | −0.496503 | + | 0.618681i | ||||
\(715\) | 8.78200 | − | 38.4764i | 0.328428 | − | 1.43894i | ||||
\(716\) | 5.89502i | 0.220307i | ||||||||
\(717\) | 3.66867 | + | 18.7858i | 0.137009 | + | 0.701569i | ||||
\(718\) | −5.99780 | + | 26.2781i | −0.223836 | + | 0.980688i | ||||
\(719\) | 45.0298 | − | 21.6852i | 1.67933 | − | 0.808723i | 0.682353 | − | 0.731023i | \(-0.260957\pi\) |
0.996977 | − | 0.0777000i | \(-0.0247576\pi\) | |||||||
\(720\) | 3.61615 | + | 2.03163i | 0.134766 | + | 0.0757144i | ||||
\(721\) | −0.906209 | − | 31.8324i | −0.0337490 | − | 1.18550i | ||||
\(722\) | 14.3152 | + | 11.4160i | 0.532755 | + | 0.424858i | ||||
\(723\) | 13.4654 | + | 0.424806i | 0.500782 | + | 0.0157987i | ||||
\(724\) | −6.48699 | − | 5.17320i | −0.241087 | − | 0.192261i | ||||
\(725\) | −6.90768 | − | 14.3439i | −0.256545 | − | 0.532721i | ||||
\(726\) | 28.9950 | − | 34.0951i | 1.07611 | − | 1.26539i | ||||
\(727\) | 14.5220 | − | 30.1553i | 0.538592 | − | 1.11840i | −0.437132 | − | 0.899397i | \(-0.644006\pi\) |
0.975725 | − | 0.219001i | \(-0.0702799\pi\) | |||||||
\(728\) | −7.47793 | + | 9.94493i | −0.277151 | + | 0.368583i | ||||
\(729\) | 0.949508 | + | 26.9833i | 0.0351670 | + | 0.999381i | ||||
\(730\) | 16.9339 | + | 8.15495i | 0.626753 | + | 0.301828i | ||||
\(731\) | −2.62973 | − | 11.5216i | −0.0972641 | − | 0.426142i | ||||
\(732\) | −3.10519 | + | 11.8666i | −0.114771 | + | 0.438601i | ||||
\(733\) | −5.64315 | − | 4.50026i | −0.208434 | − | 0.166221i | 0.513709 | − | 0.857965i | \(-0.328271\pi\) |
−0.722143 | + | 0.691744i | \(0.756843\pi\) | |||||||
\(734\) | 22.7367 | 0.839228 | ||||||||
\(735\) | 16.2428 | − | 4.14372i | 0.599125 | − | 0.152843i | ||||
\(736\) | 6.87729 | 0.253500 | ||||||||
\(737\) | −45.4445 | − | 36.2408i | −1.67397 | − | 1.33495i | ||||
\(738\) | −0.675053 | + | 10.6882i | −0.0248490 | + | 0.393437i | ||||
\(739\) | 10.2150 | + | 44.7547i | 0.375764 | + | 1.64633i | 0.710265 | + | 0.703934i | \(0.248575\pi\) |
−0.334501 | + | 0.942395i | \(0.608568\pi\) | |||||||
\(740\) | −4.29278 | − | 2.06729i | −0.157806 | − | 0.0759953i | ||||
\(741\) | −5.42136 | + | 4.05045i | −0.199159 | + | 0.148797i | ||||
\(742\) | 21.7978 | − | 0.620544i | 0.800223 | − | 0.0227809i | ||||
\(743\) | −0.569921 | + | 1.18345i | −0.0209084 | + | 0.0434167i | −0.911161 | − | 0.412049i | \(-0.864813\pi\) |
0.890253 | + | 0.455466i | \(0.150527\pi\) | |||||||
\(744\) | 4.35173 | + | 3.70078i | 0.159542 | + | 0.135677i | ||||
\(745\) | 7.18626 | + | 14.9224i | 0.263284 | + | 0.546715i | ||||
\(746\) | −7.39299 | − | 5.89571i | −0.270677 | − | 0.215857i | ||||
\(747\) | 1.89321 | + | 11.6334i | 0.0692690 | + | 0.425645i | ||||
\(748\) | 21.9502 | + | 17.5047i | 0.802577 | + | 0.640034i | ||||
\(749\) | −2.24574 | + | 5.02426i | −0.0820574 | + | 0.183582i | ||||
\(750\) | 12.5482 | − | 14.7554i | 0.458196 | − | 0.538790i | ||||
\(751\) | −18.9268 | + | 9.11468i | −0.690649 | + | 0.332599i | −0.746073 | − | 0.665864i | \(-0.768063\pi\) |
0.0554240 | + | 0.998463i | \(0.482349\pi\) | |||||||
\(752\) | 0.600248 | − | 2.62986i | 0.0218888 | − | 0.0959011i | ||||
\(753\) | 40.8624 | − | 7.97999i | 1.48911 | − | 0.290807i | ||||
\(754\) | 24.2430i | 0.882877i | ||||||||
\(755\) | −0.0246371 | + | 0.107942i | −0.000896634 | + | 0.00392841i | ||||
\(756\) | 0.908779 | − | 13.7177i | 0.0330520 | − | 0.498906i | ||||
\(757\) | 1.27098 | + | 5.56851i | 0.0461944 | + | 0.202391i | 0.992759 | − | 0.120123i | \(-0.0383290\pi\) |
−0.946565 | + | 0.322514i | \(0.895472\pi\) | |||||||
\(758\) | −25.3432 | + | 5.78442i | −0.920507 | + | 0.210100i | ||||
\(759\) | 55.0772 | + | 46.8386i | 1.99917 | + | 1.70013i | ||||
\(760\) | −0.716171 | − | 0.898051i | −0.0259783 | − | 0.0325757i | ||||
\(761\) | −0.858326 | − | 3.76057i | −0.0311143 | − | 0.136321i | 0.956985 | − | 0.290137i | \(-0.0937008\pi\) |
−0.988099 | + | 0.153816i | \(0.950844\pi\) | |||||||
\(762\) | 9.53311 | − | 4.22595i | 0.345348 | − | 0.153090i | ||||
\(763\) | 8.28611 | − | 41.7467i | 0.299977 | − | 1.51133i | ||||
\(764\) | 10.0528 | + | 2.29450i | 0.363699 | + | 0.0830119i | ||||
\(765\) | −17.7760 | + | 7.21823i | −0.642694 | + | 0.260976i | ||||
\(766\) | − | 1.40328i | − | 0.0507026i | ||||||
\(767\) | −44.3308 | − | 10.1182i | −1.60069 | − | 0.365348i | ||||
\(768\) | −1.38755 | + | 1.03668i | −0.0500689 | + | 0.0374079i | ||||
\(769\) | 22.4353 | − | 17.8916i | 0.809038 | − | 0.645186i | −0.129029 | − | 0.991641i | \(-0.541186\pi\) |
0.938067 | + | 0.346454i | \(0.112614\pi\) | |||||||
\(770\) | −5.55454 | − | 21.4967i | −0.200172 | − | 0.774686i | ||||
\(771\) | −19.1444 | + | 36.7428i | −0.689469 | + | 1.32326i | ||||
\(772\) | 2.27648 | − | 9.97393i | 0.0819325 | − | 0.358970i | ||||
\(773\) | 28.2228 | − | 35.3903i | 1.01511 | − | 1.27290i | 0.0534701 | − | 0.998569i | \(-0.482972\pi\) |
0.961635 | − | 0.274332i | \(-0.0884568\pi\) | |||||||
\(774\) | 5.67942 | + | 5.14714i | 0.204142 | + | 0.185010i | ||||
\(775\) | 7.96383 | − | 6.35094i | 0.286069 | − | 0.228133i | ||||
\(776\) | 13.1092 | + | 6.31308i | 0.470595 | + | 0.226626i | ||||
\(777\) | −0.0485938 | + | 15.7922i | −0.00174329 | + | 0.566542i | ||||
\(778\) | 19.1669 | − | 9.23029i | 0.687167 | − | 0.330922i | ||||
\(779\) | 1.28681 | − | 2.67208i | 0.0461047 | − | 0.0957373i | ||||
\(780\) | −10.2959 | + | 4.56407i | −0.368651 | + | 0.163420i | ||||
\(781\) | 6.33632 | + | 3.05141i | 0.226731 | + | 0.109188i | ||||
\(782\) | −19.8339 | + | 24.8710i | −0.709260 | + | 0.889384i | ||||
\(783\) | −14.6475 | − | 22.4259i | −0.523458 | − | 0.801437i | ||||
\(784\) | −1.16688 | + | 6.90206i | −0.0416742 | + | 0.246502i | ||||
\(785\) | 2.40543i | 0.0858535i | ||||||||
\(786\) | 9.66367 | + | 5.03514i | 0.344692 | + | 0.179598i | ||||
\(787\) | −0.198716 | + | 0.412637i | −0.00708345 | + | 0.0147089i | −0.904481 | − | 0.426515i | \(-0.859741\pi\) |
0.897397 | + | 0.441224i | \(0.145455\pi\) | |||||||
\(788\) | −4.13581 | + | 0.943972i | −0.147332 | + | 0.0336276i | ||||
\(789\) | −1.54095 | + | 5.88878i | −0.0548593 | + | 0.209646i | ||||
\(790\) | 9.03586 | + | 18.7632i | 0.321481 | + | 0.667563i | ||||
\(791\) | −5.25355 | + | 11.7535i | −0.186795 | + | 0.417905i | ||||
\(792\) | −18.1727 | − | 1.14777i | −0.645738 | − | 0.0407841i | ||||
\(793\) | −20.7655 | − | 26.0391i | −0.737404 | − | 0.924675i | ||||
\(794\) | −9.37081 | + | 4.51275i | −0.332558 | + | 0.160151i | ||||
\(795\) | 17.5041 | + | 9.12031i | 0.620806 | + | 0.323464i | ||||
\(796\) | −18.8238 | − | 4.29641i | −0.667192 | − | 0.152282i | ||||
\(797\) | −8.30571 | + | 10.4150i | −0.294203 | + | 0.368919i | −0.906862 | − | 0.421429i | \(-0.861529\pi\) |
0.612658 | + | 0.790348i | \(0.290100\pi\) | |||||||
\(798\) | −1.66242 | + | 3.42505i | −0.0588490 | + | 0.121245i | ||||
\(799\) | 7.77949 | + | 9.75517i | 0.275219 | + | 0.345113i | ||||
\(800\) | 1.34002 | + | 2.78259i | 0.0473770 | + | 0.0983793i | ||||
\(801\) | −4.44161 | − | 27.2929i | −0.156936 | − | 0.964346i | ||||
\(802\) | −28.9339 | −1.02169 | ||||||||
\(803\) | −82.5118 | −2.91178 | ||||||||
\(804\) | −0.523025 | + | 16.5787i | −0.0184457 | + | 0.584686i | ||||
\(805\) | 24.3571 | − | 6.29365i | 0.858476 | − | 0.221822i | ||||
\(806\) | −15.1220 | + | 3.45149i | −0.532649 | + | 0.121574i | ||||
\(807\) | 4.50229 | + | 10.1565i | 0.158488 | + | 0.357526i | ||||
\(808\) | −8.08881 | + | 6.45061i | −0.284563 | + | 0.226932i | ||||
\(809\) | 7.87011 | − | 6.27621i | 0.276698 | − | 0.220660i | −0.475301 | − | 0.879823i | \(-0.657661\pi\) |
0.752000 | + | 0.659163i | \(0.229089\pi\) | |||||||
\(810\) | 6.76658 | − | 10.4427i | 0.237754 | − | 0.366919i | ||||
\(811\) | 7.95750 | − | 1.81625i | 0.279426 | − | 0.0637771i | −0.0805113 | − | 0.996754i | \(-0.525655\pi\) |
0.359937 | + | 0.932977i | \(0.382798\pi\) | |||||||
\(812\) | 6.26483 | + | 12.1146i | 0.219853 | + | 0.425138i | ||||
\(813\) | 2.02776 | + | 0.0639719i | 0.0711168 | + | 0.00224359i | ||||
\(814\) | 20.9169 | 0.733137 | ||||||||
\(815\) | −25.1872 | −0.882271 | ||||||||
\(816\) | 0.252626 | − | 8.00768i | 0.00884369 | − | 0.280325i | ||||
\(817\) | −0.920969 | − | 1.91241i | −0.0322206 | − | 0.0669069i | ||||
\(818\) | 17.5531 | + | 22.0109i | 0.613730 | + | 0.769593i | ||||
\(819\) | 28.3614 | + | 24.2698i | 0.991027 | + | 0.848054i | ||||
\(820\) | 3.07730 | − | 3.85882i | 0.107464 | − | 0.134756i | ||||
\(821\) | 33.4681 | + | 7.63887i | 1.16804 | + | 0.266598i | 0.762198 | − | 0.647344i | \(-0.224120\pi\) |
0.405845 | + | 0.913942i | \(0.366977\pi\) | |||||||
\(822\) | −17.8757 | + | 34.3079i | −0.623488 | + | 1.19662i | ||||
\(823\) | −25.1416 | + | 12.1075i | −0.876380 | + | 0.422042i | −0.817301 | − | 0.576211i | \(-0.804531\pi\) |
−0.0590788 | + | 0.998253i | \(0.518816\pi\) | |||||||
\(824\) | 7.50456 | + | 9.41042i | 0.261434 | + | 0.327827i | ||||
\(825\) | −8.21946 | + | 31.4109i | −0.286165 | + | 1.09359i | ||||
\(826\) | −24.7675 | + | 6.39968i | −0.861771 | + | 0.222673i | ||||
\(827\) | −21.0682 | − | 43.7485i | −0.732612 | − | 1.52128i | −0.849181 | − | 0.528101i | \(-0.822904\pi\) |
0.116570 | − | 0.993182i | \(-0.462810\pi\) | |||||||
\(828\) | 1.30049 | − | 20.5908i | 0.0451953 | − | 0.715581i | ||||
\(829\) | −7.49540 | + | 1.71078i | −0.260326 | + | 0.0594177i | −0.350692 | − | 0.936491i | \(-0.614054\pi\) |
0.0903658 | + | 0.995909i | \(0.471196\pi\) | |||||||
\(830\) | 2.35684 | − | 4.89403i | 0.0818072 | − | 0.169874i | ||||
\(831\) | 19.9219 | − | 38.2349i | 0.691081 | − | 1.32635i | ||||
\(832\) | − | 4.70290i | − | 0.163044i | ||||||
\(833\) | −21.5953 | − | 24.1252i | −0.748232 | − | 0.835890i | ||||
\(834\) | 1.35946 | − | 0.265487i | 0.0470741 | − | 0.00919307i | ||||
\(835\) | −7.24639 | + | 9.08669i | −0.250772 | + | 0.314458i | ||||
\(836\) | 4.54324 | + | 2.18791i | 0.157131 | + | 0.0756704i | ||||
\(837\) | 11.9032 | − | 12.3294i | 0.411434 | − | 0.426166i | ||||
\(838\) | 7.42020 | − | 15.4082i | 0.256327 | − | 0.532268i | ||||
\(839\) | −19.1269 | + | 9.21104i | −0.660334 | + | 0.318000i | −0.733868 | − | 0.679293i | \(-0.762287\pi\) |
0.0735333 | + | 0.997293i | \(0.476572\pi\) | |||||||
\(840\) | −3.96555 | + | 4.94137i | −0.136825 | + | 0.170494i | ||||
\(841\) | −2.18669 | − | 1.05305i | −0.0754031 | − | 0.0363122i | ||||
\(842\) | 29.7615 | − | 23.7340i | 1.02565 | − | 0.817929i | ||||
\(843\) | 15.7674 | + | 21.1040i | 0.543059 | + | 0.726861i | ||||
\(844\) | −4.39127 | + | 5.50648i | −0.151154 | + | 0.189541i | ||||
\(845\) | 2.80499 | − | 12.2894i | 0.0964944 | − | 0.422770i | ||||
\(846\) | −7.76038 | − | 2.29447i | −0.266807 | − | 0.0788855i | ||||
\(847\) | 44.1302 | + | 52.2171i | 1.51633 | + | 1.79420i | ||||
\(848\) | −6.44396 | + | 5.13889i | −0.221287 | + | 0.176470i | ||||
\(849\) | 15.0802 | + | 20.1843i | 0.517552 | + | 0.692722i | ||||
\(850\) | −13.9275 | − | 3.17886i | −0.477710 | − | 0.109034i | ||||
\(851\) | 23.7002i | 0.812433i | ||||||||
\(852\) | −0.384659 | − | 1.96969i | −0.0131782 | − | 0.0674805i | ||||
\(853\) | 37.7925 | + | 8.62589i | 1.29399 | + | 0.295345i | 0.813454 | − | 0.581630i | \(-0.197585\pi\) |
0.480537 | + | 0.876975i | \(0.340442\pi\) | |||||||
\(854\) | −17.1058 | − | 7.64592i | −0.585348 | − | 0.261638i | ||||
\(855\) | −2.82422 | + | 1.97442i | −0.0965864 | + | 0.0675238i | ||||
\(856\) | −0.462856 | − | 2.02791i | −0.0158201 | − | 0.0693124i | ||||
\(857\) | −23.4390 | − | 29.3916i | −0.800662 | − | 1.00400i | −0.999712 | − | 0.0240095i | \(-0.992357\pi\) |
0.199049 | − | 0.979989i | \(-0.436215\pi\) | |||||||
\(858\) | 32.0296 | − | 37.6634i | 1.09347 | − | 1.28581i | ||||
\(859\) | 42.7070 | − | 9.74760i | 1.45714 | − | 0.332584i | 0.580712 | − | 0.814109i | \(-0.302774\pi\) |
0.876432 | + | 0.481525i | \(0.159917\pi\) | |||||||
\(860\) | −0.786038 | − | 3.44386i | −0.0268037 | − | 0.117434i | ||||
\(861\) | −15.9376 | − | 3.68928i | −0.543150 | − | 0.125730i | ||||
\(862\) | 0.852787 | − | 3.73630i | 0.0290460 | − | 0.127259i | ||||
\(863\) | 4.69971i | 0.159980i | 0.996796 | + | 0.0799900i | \(0.0254888\pi\) | ||||
−0.996796 | + | 0.0799900i | \(0.974511\pi\) | |||||||
\(864\) | 2.84147 | + | 4.35041i | 0.0966686 | + | 0.148004i | ||||
\(865\) | 1.50826 | − | 6.60811i | 0.0512823 | − | 0.224682i | ||||
\(866\) | 14.9492 | − | 7.19915i | 0.507994 | − | 0.244637i | ||||
\(867\) | 5.79972 | + | 4.93218i | 0.196969 | + | 0.167505i | ||||
\(868\) | −6.66474 | + | 5.63256i | −0.226216 | + | 0.191181i | ||||
\(869\) | −71.4789 | − | 57.0025i | −2.42475 | − | 1.93368i | ||||
\(870\) | −0.389252 | + | 12.3384i | −0.0131969 | + | 0.418311i | ||||
\(871\) | −35.2115 | − | 28.0803i | −1.19310 | − | 0.951463i | ||||
\(872\) | 6.97970 | + | 14.4935i | 0.236362 | + | 0.490812i | ||||
\(873\) | 21.3805 | − | 38.0557i | 0.723621 | − | 1.28799i | ||||
\(874\) | −2.47904 | + | 5.14779i | −0.0838549 | + | 0.174127i | ||||
\(875\) | 19.0983 | + | 22.5981i | 0.645640 | + | 0.763955i | ||||
\(876\) | 14.0928 | + | 18.8626i | 0.476152 | + | 0.637310i | ||||
\(877\) | −1.72902 | − | 0.832654i | −0.0583850 | − | 0.0281167i | 0.404463 | − | 0.914554i | \(-0.367458\pi\) |
−0.462848 | + | 0.886437i | \(0.653173\pi\) | |||||||
\(878\) | 3.56031 | + | 15.5987i | 0.120155 | + | 0.526432i | ||||
\(879\) | 6.85907 | + | 1.79485i | 0.231351 | + | 0.0605389i | ||||
\(880\) | 6.56100 | + | 5.23222i | 0.221171 | + | 0.176378i | ||||
\(881\) | 55.9337 | 1.88445 | 0.942227 | − | 0.334974i | \(-0.108728\pi\) | ||||
0.942227 | + | 0.334974i | \(0.108728\pi\) | |||||||
\(882\) | 20.4443 | + | 4.79885i | 0.688397 | + | 0.161586i | ||||
\(883\) | 53.7876 | 1.81010 | 0.905048 | − | 0.425309i | \(-0.139834\pi\) | ||||
0.905048 | + | 0.425309i | \(0.139834\pi\) | |||||||
\(884\) | 17.0075 | + | 13.5630i | 0.572025 | + | 0.456175i | ||||
\(885\) | −22.3996 | − | 5.86143i | −0.752954 | − | 0.197030i | ||||
\(886\) | 2.52683 | + | 11.0708i | 0.0848907 | + | 0.371930i | ||||
\(887\) | 36.2732 | + | 17.4683i | 1.21794 | + | 0.586527i | 0.928736 | − | 0.370741i | \(-0.120896\pi\) |
0.289200 | + | 0.957269i | \(0.406611\pi\) | |||||||
\(888\) | −3.57256 | − | 4.78172i | −0.119887 | − | 0.160464i | ||||
\(889\) | 3.98495 | + | 15.4222i | 0.133651 | + | 0.517244i | ||||
\(890\) | −5.52932 | + | 11.4817i | −0.185343 | + | 0.384869i | ||||
\(891\) | −6.87290 | + | 54.1926i | −0.230251 | + | 1.81552i | ||||
\(892\) | 6.94077 | + | 14.4127i | 0.232394 | + | 0.482572i | ||||
\(893\) | 1.75213 | + | 1.39728i | 0.0586328 | + | 0.0467581i | ||||
\(894\) | −0.654263 | + | 20.7386i | −0.0218818 | + | 0.693604i | ||||
\(895\) | −6.37224 | − | 5.08169i | −0.213001 | − | 0.169862i | ||||
\(896\) | −1.21532 | − | 2.35011i | −0.0406009 | − | 0.0785116i | ||||
\(897\) | 42.6752 | + | 36.2917i | 1.42488 | + | 1.21174i | ||||
\(898\) | 11.8593 | − | 5.71113i | 0.395750 | − | 0.190583i | ||||
\(899\) | −3.78321 | + | 16.5753i | −0.126177 | + | 0.552818i | ||||
\(900\) | 8.58456 | − | 3.48589i | 0.286152 | − | 0.116196i | ||||
\(901\) | − | 38.1243i | − | 1.27010i | ||||||
\(902\) | −4.82148 | + | 21.1243i | −0.160538 | + | 0.703361i | ||||
\(903\) | −9.17621 | + | 7.27171i | −0.305365 | + | 0.241987i | ||||
\(904\) | −1.08278 | − | 4.74397i | −0.0360128 | − | 0.157782i | ||||
\(905\) | 11.1840 | − | 2.55267i | 0.371768 | − | 0.0848537i | ||||
\(906\) | −0.0898561 | + | 0.105661i | −0.00298527 | + | 0.00351036i | ||||
\(907\) | −6.55727 | − | 8.22255i | −0.217730 | − | 0.273025i | 0.660956 | − | 0.750425i | \(-0.270151\pi\) |
−0.878686 | + | 0.477399i | \(0.841580\pi\) | |||||||
\(908\) | −1.86759 | − | 8.18246i | −0.0619782 | − | 0.271544i | ||||
\(909\) | 17.7838 | + | 25.4380i | 0.589850 | + | 0.843725i | ||||
\(910\) | −4.30379 | − | 16.6561i | −0.142669 | − | 0.552146i | ||||
\(911\) | 24.7524 | + | 5.64956i | 0.820082 | + | 0.187178i | 0.611924 | − | 0.790917i | \(-0.290396\pi\) |
0.208158 | + | 0.978095i | \(0.433253\pi\) | |||||||
\(912\) | −0.275807 | − | 1.41230i | −0.00913288 | − | 0.0467659i | ||||
\(913\) | 23.8465i | 0.789206i | ||||||||
\(914\) | 6.03753 | + | 1.37803i | 0.199704 | + | 0.0455811i | ||||
\(915\) | −10.1504 | − | 13.5859i | −0.335563 | − | 0.449137i | ||||
\(916\) | −20.7009 | + | 16.5084i | −0.683977 | + | 0.545454i | ||||
\(917\) | −10.0035 | + | 13.3037i | −0.330345 | + | 0.439326i | ||||
\(918\) | −23.9275 | − | 2.27062i | −0.789725 | − | 0.0749417i | ||||
\(919\) | −10.9651 | + | 48.0411i | −0.361704 | + | 1.58473i | 0.387164 | + | 0.922011i | \(0.373455\pi\) |
−0.748868 | + | 0.662719i | \(0.769402\pi\) | |||||||
\(920\) | −5.92845 | + | 7.43404i | −0.195455 | + | 0.245093i | ||||
\(921\) | 7.17777 | + | 9.60715i | 0.236516 | + | 0.316566i | ||||
\(922\) | −21.1180 | + | 16.8411i | −0.695485 | + | 0.554631i | ||||
\(923\) | 4.90954 | + | 2.36431i | 0.161599 | + | 0.0778221i | ||||
\(924\) | 6.27273 | − | 27.0980i | 0.206358 | − | 0.891459i | ||||
\(925\) | −9.58923 | + | 4.61793i | −0.315292 | + | 0.151837i | ||||
\(926\) | −6.20181 | + | 12.8782i | −0.203804 | + | 0.423204i | ||||
\(927\) | 29.5942 | − | 20.6894i | 0.972002 | − | 0.679529i | ||||
\(928\) | −4.64440 | − | 2.23663i | −0.152460 | − | 0.0734208i | ||||
\(929\) | 23.2979 | − | 29.2147i | 0.764380 | − | 0.958503i | −0.235530 | − | 0.971867i | \(-0.575683\pi\) |
0.999911 | + | 0.0133644i | \(0.00425414\pi\) | |||||||
\(930\) | −7.75170 | + | 1.51382i | −0.254188 | + | 0.0496403i | ||||
\(931\) | −4.74571 | − | 3.36140i | −0.155534 | − | 0.110166i | ||||
\(932\) | − | 8.94058i | − | 0.292858i | ||||||
\(933\) | 11.1761 | − | 21.4497i | 0.365891 | − | 0.702233i | ||||
\(934\) | 1.61407 | − | 3.35165i | 0.0528140 | − | 0.109669i | ||||
\(935\) | −37.8435 | + | 8.63753i | −1.23761 | + | 0.282477i | ||||
\(936\) | −14.0806 | − | 0.889318i | −0.460240 | − | 0.0290683i | ||||
\(937\) | 3.68446 | + | 7.65087i | 0.120366 | + | 0.249943i | 0.952443 | − | 0.304718i | \(-0.0985622\pi\) |
−0.832076 | + | 0.554661i | \(0.812848\pi\) | |||||||
\(938\) | −24.8522 | − | 4.93280i | −0.811452 | − | 0.161062i | ||||
\(939\) | 7.46253 | − | 28.5182i | 0.243530 | − | 0.930658i | ||||
\(940\) | 2.32532 | + | 2.91586i | 0.0758437 | + | 0.0951050i | ||||
\(941\) | −37.4120 | + | 18.0167i | −1.21960 | + | 0.587326i | −0.929199 | − | 0.369580i | \(-0.879502\pi\) |
−0.290397 | + | 0.956906i | \(0.593787\pi\) | |||||||
\(942\) | −1.39243 | + | 2.67242i | −0.0453679 | + | 0.0870721i | ||||
\(943\) | −23.9352 | − | 5.46305i | −0.779437 | − | 0.177901i | ||||
\(944\) | 6.02832 | − | 7.55928i | 0.196205 | − | 0.246034i | ||||
\(945\) | 14.0448 | + | 12.8074i | 0.456876 | + | 0.416625i | ||||
\(946\) | 9.66875 | + | 12.1242i | 0.314358 | + | 0.394193i | ||||
\(947\) | 20.1529 | + | 41.8480i | 0.654882 | + | 1.35988i | 0.918566 | + | 0.395268i | \(0.129348\pi\) |
−0.263684 | + | 0.964609i | \(0.584938\pi\) | |||||||
\(948\) | −0.822656 | + | 26.0763i | −0.0267186 | + | 0.846920i | ||||
\(949\) | −63.9322 | −2.07533 | ||||||||
\(950\) | −2.56586 | −0.0832474 | ||||||||
\(951\) | −11.8256 | − | 0.373075i | −0.383473 | − | 0.0120978i | ||||
\(952\) | 12.0038 | + | 2.38259i | 0.389047 | + | 0.0772202i | ||||
\(953\) | −26.9086 | + | 6.14171i | −0.871655 | + | 0.198950i | −0.634876 | − | 0.772614i | \(-0.718949\pi\) |
−0.236779 | + | 0.971564i | \(0.576092\pi\) | |||||||
\(954\) | 14.1675 | + | 20.2652i | 0.458688 | + | 0.656110i | ||||
\(955\) | −11.1461 | + | 8.88873i | −0.360680 | + | 0.287633i | ||||
\(956\) | 8.63992 | − | 6.89011i | 0.279435 | − | 0.222842i | ||||
\(957\) | −21.9622 | − | 49.5433i | −0.709936 | − | 1.60151i | ||||
\(958\) | 18.0559 | − | 4.12115i | 0.583360 | − | 0.133148i | ||||
\(959\) | −47.2306 | − | 35.5143i | −1.52516 | − | 1.14682i | ||||
\(960\) | 0.0755111 | − | 2.39353i | 0.00243711 | − | 0.0772508i | ||||
\(961\) | 20.1222 | 0.649104 | ||||||||
\(962\) | 16.2069 | 0.522533 | ||||||||
\(963\) | −6.15915 | + | 1.00233i | −0.198476 | + | 0.0322997i | ||||
\(964\) | −3.37479 | − | 7.00783i | −0.108695 | − | 0.225707i | ||||
\(965\) | 8.81896 | + | 11.0586i | 0.283892 | + | 0.355990i | ||||
\(966\) | 30.7038 | + | 7.10742i | 0.987879 | + | 0.228677i | ||||
\(967\) | −12.4216 | + | 15.5762i | −0.399453 | + | 0.500898i | −0.940358 | − | 0.340185i | \(-0.889510\pi\) |
0.540906 | + | 0.841083i | \(0.318082\pi\) | |||||||
\(968\) | −25.1926 | − | 5.75004i | −0.809720 | − | 0.184813i | ||||
\(969\) | 5.90284 | + | 3.07561i | 0.189627 | + | 0.0988028i | ||||
\(970\) | −18.1247 | + | 8.72842i | −0.581950 | + | 0.280253i | ||||
\(971\) | −15.5220 | − | 19.4639i | −0.498123 | − | 0.624627i | 0.467681 | − | 0.883897i | \(-0.345089\pi\) |
−0.965805 | + | 0.259270i | \(0.916518\pi\) | |||||||
\(972\) | 13.5626 | − | 7.68479i | 0.435021 | − | 0.246490i | ||||
\(973\) | 0.0602094 | + | 2.11497i | 0.00193023 | + | 0.0678030i | ||||
\(974\) | 4.33317 | + | 8.99791i | 0.138844 | + | 0.288312i | ||||
\(975\) | −6.36864 | + | 24.3379i | −0.203960 | + | 0.779437i | ||||
\(976\) | 6.90429 | − | 1.57586i | 0.221001 | − | 0.0504420i | ||||
\(977\) | −3.71165 | + | 7.70733i | −0.118746 | + | 0.246579i | −0.951867 | − | 0.306513i | \(-0.900838\pi\) |
0.833120 | + | 0.553092i | \(0.186552\pi\) | |||||||
\(978\) | −27.9829 | − | 14.5802i | −0.894793 | − | 0.466222i | ||||
\(979\) | − | 55.9457i | − | 1.78803i | ||||||
\(980\) | −6.45492 | − | 7.21114i | −0.206195 | − | 0.230351i | ||||
\(981\) | 44.7139 | − | 18.1567i | 1.42760 | − | 0.579700i | ||||
\(982\) | −10.3124 | + | 12.9313i | −0.329081 | + | 0.412654i | ||||
\(983\) | −27.5426 | − | 13.2638i | −0.878471 | − | 0.423050i | −0.0604054 | − | 0.998174i | \(-0.519239\pi\) |
−0.818066 | + | 0.575124i | \(0.804954\pi\) | |||||||
\(984\) | 5.65262 | − | 2.50576i | 0.180199 | − | 0.0798807i | ||||
\(985\) | 2.54481 | − | 5.28435i | 0.0810844 | − | 0.168374i | ||||
\(986\) | 21.4828 | − | 10.3456i | 0.684153 | − | 0.329471i | ||||
\(987\) | 5.39768 | − | 11.1207i | 0.171810 | − | 0.353977i | ||||
\(988\) | 3.52022 | + | 1.69525i | 0.111993 | + | 0.0539330i | ||||
\(989\) | −13.7375 | + | 10.9553i | −0.436828 | + | 0.348359i | ||||
\(990\) | 16.9061 | − | 18.6544i | 0.537312 | − | 0.592877i | ||||
\(991\) | 19.8869 | − | 24.9374i | 0.631729 | − | 0.792163i | −0.358212 | − | 0.933640i | \(-0.616614\pi\) |
0.989942 | + | 0.141477i | \(0.0451851\pi\) | |||||||
\(992\) | 0.733907 | − | 3.21545i | 0.0233016 | − | 0.102091i | ||||
\(993\) | −2.80767 | + | 5.38860i | −0.0890987 | + | 0.171002i | ||||
\(994\) | 3.06435 | − | 0.0872363i | 0.0971952 | − | 0.00276697i | ||||
\(995\) | 20.8710 | − | 16.6440i | 0.661654 | − | 0.527651i | ||||
\(996\) | 5.45145 | − | 4.07293i | 0.172736 | − | 0.129056i | ||||
\(997\) | 19.8963 | + | 4.54121i | 0.630123 | + | 0.143822i | 0.525643 | − | 0.850705i | \(-0.323825\pi\) |
0.104481 | + | 0.994527i | \(0.466682\pi\) | |||||||
\(998\) | − | 27.6621i | − | 0.875628i | ||||||
\(999\) | −14.9922 | + | 9.79214i | −0.474332 | + | 0.309809i |
(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 | 294.2.j.a.251.12 | yes | 120 | |
3.2 | odd | 2 | inner | 294.2.j.a.251.9 | yes | 120 | |
49.41 | odd | 14 | inner | 294.2.j.a.41.9 | ✓ | 120 | |
147.41 | even | 14 | inner | 294.2.j.a.41.12 | yes | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
294.2.j.a.41.9 | ✓ | 120 | 49.41 | odd | 14 | inner | |
294.2.j.a.41.12 | yes | 120 | 147.41 | even | 14 | inner | |
294.2.j.a.251.9 | yes | 120 | 3.2 | odd | 2 | inner | |
294.2.j.a.251.12 | yes | 120 | 1.1 | even | 1 | trivial |