Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(71,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.71");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.bu (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 197.1 | ||
Character | \(\chi\) | \(=\) | 546.197 |
Dual form | 546.2.bu.b.449.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{1}{12}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.258819 | + | 0.965926i | −0.183013 | + | 0.683013i | ||||
\(3\) | −1.64483 | + | 0.542708i | −0.949643 | + | 0.313332i | ||||
\(4\) | −0.866025 | − | 0.500000i | −0.433013 | − | 0.250000i | ||||
\(5\) | 1.01262 | + | 1.01262i | 0.452857 | + | 0.452857i | 0.896302 | − | 0.443445i | \(-0.146244\pi\) |
−0.443445 | + | 0.896302i | \(0.646244\pi\) | |||||||
\(6\) | −0.0985019 | − | 1.72925i | −0.0402132 | − | 0.705962i | ||||
\(7\) | −0.965926 | + | 0.258819i | −0.365086 | + | 0.0978244i | ||||
\(8\) | 0.707107 | − | 0.707107i | 0.250000 | − | 0.250000i | ||||
\(9\) | 2.41094 | − | 1.78532i | 0.803646 | − | 0.595108i | ||||
\(10\) | −1.24020 | + | 0.716030i | −0.392186 | + | 0.226429i | ||||
\(11\) | 5.93999 | + | 1.59162i | 1.79097 | + | 0.479890i | 0.992511 | − | 0.122154i | \(-0.0389801\pi\) |
0.798463 | + | 0.602044i | \(0.205647\pi\) | |||||||
\(12\) | 1.69582 | + | 0.352417i | 0.489541 | + | 0.101734i | ||||
\(13\) | −2.27066 | + | 2.80073i | −0.629769 | + | 0.776783i | ||||
\(14\) | − | 1.00000i | − | 0.267261i | ||||||
\(15\) | −2.21514 | − | 1.11603i | −0.571948 | − | 0.288158i | ||||
\(16\) | 0.500000 | + | 0.866025i | 0.125000 | + | 0.216506i | ||||
\(17\) | −3.35614 | + | 5.81300i | −0.813983 | + | 1.40986i | 0.0960735 | + | 0.995374i | \(0.469372\pi\) |
−0.910056 | + | 0.414485i | \(0.863962\pi\) | |||||||
\(18\) | 1.10050 | + | 2.79086i | 0.259389 | + | 0.657812i | ||||
\(19\) | 0.0419710 | + | 0.156638i | 0.00962880 | + | 0.0359352i | 0.970573 | − | 0.240807i | \(-0.0774120\pi\) |
−0.960944 | + | 0.276742i | \(0.910745\pi\) | |||||||
\(20\) | −0.370644 | − | 1.38326i | −0.0828786 | − | 0.309307i | ||||
\(21\) | 1.44832 | − | 0.949929i | 0.316050 | − | 0.207291i | ||||
\(22\) | −3.07476 | + | 5.32565i | −0.655542 | + | 1.13543i | ||||
\(23\) | −1.55923 | − | 2.70067i | −0.325123 | − | 0.563129i | 0.656414 | − | 0.754401i | \(-0.272072\pi\) |
−0.981537 | + | 0.191271i | \(0.938739\pi\) | |||||||
\(24\) | −0.779319 | + | 1.54682i | −0.159078 | + | 0.315744i | ||||
\(25\) | − | 2.94920i | − | 0.589841i | ||||||
\(26\) | −2.11761 | − | 2.91818i | −0.415297 | − | 0.572301i | ||||
\(27\) | −2.99667 | + | 4.24499i | −0.576710 | + | 0.816949i | ||||
\(28\) | 0.965926 | + | 0.258819i | 0.182543 | + | 0.0489122i | ||||
\(29\) | −6.86770 | + | 3.96507i | −1.27530 | + | 0.736295i | −0.975980 | − | 0.217858i | \(-0.930093\pi\) |
−0.299319 | + | 0.954153i | \(0.596760\pi\) | |||||||
\(30\) | 1.65132 | − | 1.85081i | 0.301489 | − | 0.337911i | ||||
\(31\) | 2.28135 | − | 2.28135i | 0.409743 | − | 0.409743i | −0.471906 | − | 0.881649i | \(-0.656434\pi\) |
0.881649 | + | 0.471906i | \(0.156434\pi\) | |||||||
\(32\) | −0.965926 | + | 0.258819i | −0.170753 | + | 0.0457532i | ||||
\(33\) | −10.6341 | + | 0.605740i | −1.85115 | + | 0.105446i | ||||
\(34\) | −4.74629 | − | 4.74629i | −0.813983 | − | 0.813983i | ||||
\(35\) | −1.24020 | − | 0.716030i | −0.209632 | − | 0.121031i | ||||
\(36\) | −2.98059 | + | 0.340668i | −0.496766 | + | 0.0567781i | ||||
\(37\) | −1.39698 | + | 5.21359i | −0.229662 | + | 0.857109i | 0.750821 | + | 0.660506i | \(0.229658\pi\) |
−0.980483 | + | 0.196604i | \(0.937009\pi\) | |||||||
\(38\) | −0.162163 | −0.0263064 | ||||||||
\(39\) | 2.21488 | − | 5.83903i | 0.354665 | − | 0.934994i | ||||
\(40\) | 1.43206 | 0.226429 | ||||||||
\(41\) | −0.728231 | + | 2.71779i | −0.113731 | + | 0.424448i | −0.999189 | − | 0.0402708i | \(-0.987178\pi\) |
0.885458 | + | 0.464719i | \(0.153845\pi\) | |||||||
\(42\) | 0.542708 | + | 1.64483i | 0.0837416 | + | 0.253803i | ||||
\(43\) | −1.39389 | − | 0.804764i | −0.212566 | − | 0.122725i | 0.389937 | − | 0.920841i | \(-0.372497\pi\) |
−0.602504 | + | 0.798116i | \(0.705830\pi\) | |||||||
\(44\) | −4.34837 | − | 4.34837i | −0.655542 | − | 0.655542i | ||||
\(45\) | 4.24921 | + | 0.633506i | 0.633436 | + | 0.0944376i | ||||
\(46\) | 3.01221 | − | 0.807119i | 0.444126 | − | 0.119003i | ||||
\(47\) | −1.71389 | + | 1.71389i | −0.249996 | + | 0.249996i | −0.820969 | − | 0.570973i | \(-0.806566\pi\) |
0.570973 | + | 0.820969i | \(0.306566\pi\) | |||||||
\(48\) | −1.29241 | − | 1.15311i | −0.186544 | − | 0.166437i | ||||
\(49\) | 0.866025 | − | 0.500000i | 0.123718 | − | 0.0714286i | ||||
\(50\) | 2.84871 | + | 0.763310i | 0.402869 | + | 0.107948i | ||||
\(51\) | 2.36552 | − | 11.3828i | 0.331239 | − | 1.59391i | ||||
\(52\) | 3.36682 | − | 1.29017i | 0.466894 | − | 0.178915i | ||||
\(53\) | 8.12791i | 1.11645i | 0.829688 | + | 0.558227i | \(0.188518\pi\) | ||||
−0.829688 | + | 0.558227i | \(0.811482\pi\) | |||||||
\(54\) | −3.32475 | − | 3.99325i | −0.452441 | − | 0.543412i | ||||
\(55\) | 4.40325 | + | 7.62665i | 0.593734 | + | 1.02838i | ||||
\(56\) | −0.500000 | + | 0.866025i | −0.0668153 | + | 0.115728i | ||||
\(57\) | −0.154044 | − | 0.234865i | −0.0204036 | − | 0.0311086i | ||||
\(58\) | −2.05247 | − | 7.65992i | −0.269503 | − | 1.00580i | ||||
\(59\) | −1.78883 | − | 6.67601i | −0.232886 | − | 0.869142i | −0.979090 | − | 0.203425i | \(-0.934793\pi\) |
0.746205 | − | 0.665717i | \(-0.231874\pi\) | |||||||
\(60\) | 1.36036 | + | 2.07408i | 0.175621 | + | 0.267763i | ||||
\(61\) | −4.36155 | + | 7.55443i | −0.558440 | + | 0.967246i | 0.439187 | + | 0.898395i | \(0.355266\pi\) |
−0.997627 | + | 0.0688502i | \(0.978067\pi\) | |||||||
\(62\) | 1.61316 | + | 2.79408i | 0.204872 | + | 0.354848i | ||||
\(63\) | −1.86671 | + | 2.34849i | −0.235183 | + | 0.295882i | ||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | −5.13539 | + | 0.536755i | −0.636967 | + | 0.0665762i | ||||
\(66\) | 2.16720 | − | 10.4285i | 0.266763 | − | 1.28366i | ||||
\(67\) | 5.05737 | + | 1.35512i | 0.617857 | + | 0.165554i | 0.554153 | − | 0.832415i | \(-0.313042\pi\) |
0.0637034 | + | 0.997969i | \(0.479709\pi\) | |||||||
\(68\) | 5.81300 | − | 3.35614i | 0.704930 | − | 0.406991i | ||||
\(69\) | 4.03035 | + | 3.59594i | 0.485197 | + | 0.432900i | ||||
\(70\) | 1.01262 | − | 1.01262i | 0.121031 | − | 0.121031i | ||||
\(71\) | −9.93919 | + | 2.66320i | −1.17956 | + | 0.316063i | −0.794754 | − | 0.606932i | \(-0.792400\pi\) |
−0.384811 | + | 0.922995i | \(0.625733\pi\) | |||||||
\(72\) | 0.442374 | − | 2.96720i | 0.0521343 | − | 0.349688i | ||||
\(73\) | 2.46804 | + | 2.46804i | 0.288862 | + | 0.288862i | 0.836630 | − | 0.547768i | \(-0.184522\pi\) |
−0.547768 | + | 0.836630i | \(0.684522\pi\) | |||||||
\(74\) | −4.67438 | − | 2.69875i | −0.543386 | − | 0.313724i | ||||
\(75\) | 1.60056 | + | 4.85094i | 0.184816 | + | 0.560139i | ||||
\(76\) | 0.0419710 | − | 0.156638i | 0.00481440 | − | 0.0179676i | ||||
\(77\) | −6.14953 | −0.700804 | ||||||||
\(78\) | 5.06682 | + | 3.65066i | 0.573704 | + | 0.413356i | ||||
\(79\) | 5.05115 | 0.568298 | 0.284149 | − | 0.958780i | \(-0.408289\pi\) | ||||
0.284149 | + | 0.958780i | \(0.408289\pi\) | |||||||
\(80\) | −0.370644 | + | 1.38326i | −0.0414393 | + | 0.154654i | ||||
\(81\) | 2.62523 | − | 8.60861i | 0.291692 | − | 0.956512i | ||||
\(82\) | −2.43671 | − | 1.40683i | −0.269089 | − | 0.155359i | ||||
\(83\) | 3.93809 | + | 3.93809i | 0.432261 | + | 0.432261i | 0.889397 | − | 0.457136i | \(-0.151125\pi\) |
−0.457136 | + | 0.889397i | \(0.651125\pi\) | |||||||
\(84\) | −1.72925 | + | 0.0985019i | −0.188676 | + | 0.0107474i | ||||
\(85\) | −9.28484 | + | 2.48787i | −1.00708 | + | 0.269847i | ||||
\(86\) | 1.13811 | − | 1.13811i | 0.122725 | − | 0.122725i | ||||
\(87\) | 9.14433 | − | 10.2490i | 0.980375 | − | 1.09881i | ||||
\(88\) | 5.32565 | − | 3.07476i | 0.567716 | − | 0.327771i | ||||
\(89\) | 10.2688 | + | 2.75151i | 1.08849 | + | 0.291659i | 0.758068 | − | 0.652175i | \(-0.226143\pi\) |
0.330419 | + | 0.943834i | \(0.392810\pi\) | |||||||
\(90\) | −1.71170 | + | 3.94046i | −0.180429 | + | 0.415361i | ||||
\(91\) | 1.46841 | − | 3.29299i | 0.153931 | − | 0.345199i | ||||
\(92\) | 3.11847i | 0.325123i | ||||||||
\(93\) | −2.51433 | + | 4.99055i | −0.260724 | + | 0.517496i | ||||
\(94\) | −1.21190 | − | 2.09907i | −0.124998 | − | 0.216503i | ||||
\(95\) | −0.116114 | + | 0.201115i | −0.0119130 | + | 0.0206340i | ||||
\(96\) | 1.44832 | − | 0.949929i | 0.147819 | − | 0.0969517i | ||||
\(97\) | −1.05510 | − | 3.93768i | −0.107129 | − | 0.399811i | 0.891449 | − | 0.453121i | \(-0.149689\pi\) |
−0.998578 | + | 0.0533101i | \(0.983023\pi\) | |||||||
\(98\) | 0.258819 | + | 0.965926i | 0.0261447 | + | 0.0975732i | ||||
\(99\) | 17.1625 | − | 6.76753i | 1.72489 | − | 0.680162i | ||||
\(100\) | −1.47460 | + | 2.55409i | −0.147460 | + | 0.255409i | ||||
\(101\) | 5.63686 | + | 9.76334i | 0.560889 | + | 0.971488i | 0.997419 | + | 0.0717986i | \(0.0228739\pi\) |
−0.436530 | + | 0.899690i | \(0.643793\pi\) | |||||||
\(102\) | 10.3827 | + | 5.23100i | 1.02804 | + | 0.517946i | ||||
\(103\) | − | 6.36367i | − | 0.627031i | −0.949583 | − | 0.313516i | \(-0.898493\pi\) | ||
0.949583 | − | 0.313516i | \(-0.101507\pi\) | |||||||
\(104\) | 0.374813 | + | 3.58602i | 0.0367534 | + | 0.351638i | ||||
\(105\) | 2.42851 | + | 0.504682i | 0.236999 | + | 0.0492519i | ||||
\(106\) | −7.85096 | − | 2.10366i | −0.762553 | − | 0.204325i | ||||
\(107\) | 13.3862 | − | 7.72854i | 1.29410 | − | 0.747147i | 0.314718 | − | 0.949185i | \(-0.398090\pi\) |
0.979378 | + | 0.202039i | \(0.0647566\pi\) | |||||||
\(108\) | 4.71769 | − | 2.17793i | 0.453960 | − | 0.209572i | ||||
\(109\) | 10.9344 | − | 10.9344i | 1.04732 | − | 1.04732i | 0.0485013 | − | 0.998823i | \(-0.484555\pi\) |
0.998823 | − | 0.0485013i | \(-0.0154445\pi\) | |||||||
\(110\) | −8.50642 | + | 2.27929i | −0.811055 | + | 0.217322i | ||||
\(111\) | −0.531665 | − | 9.33363i | −0.0504634 | − | 0.885909i | ||||
\(112\) | −0.707107 | − | 0.707107i | −0.0668153 | − | 0.0668153i | ||||
\(113\) | −10.5422 | − | 6.08657i | −0.991731 | − | 0.572576i | −0.0859400 | − | 0.996300i | \(-0.527389\pi\) |
−0.905791 | + | 0.423724i | \(0.860723\pi\) | |||||||
\(114\) | 0.266731 | − | 0.0880073i | 0.0249817 | − | 0.00824264i | ||||
\(115\) | 1.15584 | − | 4.31366i | 0.107783 | − | 0.402251i | ||||
\(116\) | 7.93014 | 0.736295 | ||||||||
\(117\) | −0.474215 | + | 10.8063i | −0.0438412 | + | 0.999039i | ||||
\(118\) | 6.91151 | 0.636256 | ||||||||
\(119\) | 1.73726 | − | 6.48356i | 0.159255 | − | 0.594347i | ||||
\(120\) | −2.35550 | + | 0.777190i | −0.215026 | + | 0.0709474i | ||||
\(121\) | 23.2240 | + | 13.4084i | 2.11127 | + | 1.21894i | ||||
\(122\) | −6.16817 | − | 6.16817i | −0.558440 | − | 0.558440i | ||||
\(123\) | −0.277152 | − | 4.86553i | −0.0249899 | − | 0.438710i | ||||
\(124\) | −3.11639 | + | 0.835033i | −0.279860 | + | 0.0749882i | ||||
\(125\) | 8.04952 | − | 8.04952i | 0.719971 | − | 0.719971i | ||||
\(126\) | −1.78532 | − | 2.41094i | −0.159049 | − | 0.214783i | ||||
\(127\) | −5.34018 | + | 3.08315i | −0.473864 | + | 0.273586i | −0.717856 | − | 0.696192i | \(-0.754876\pi\) |
0.243992 | + | 0.969777i | \(0.421543\pi\) | |||||||
\(128\) | 0.965926 | + | 0.258819i | 0.0853766 | + | 0.0228766i | ||||
\(129\) | 2.72947 | + | 0.567224i | 0.240316 | + | 0.0499413i | ||||
\(130\) | 0.810672 | − | 5.09933i | 0.0711006 | − | 0.447241i | ||||
\(131\) | 4.60034i | 0.401934i | 0.979598 | + | 0.200967i | \(0.0644083\pi\) | ||||
−0.979598 | + | 0.200967i | \(0.935592\pi\) | |||||||
\(132\) | 9.51224 | + | 4.79244i | 0.827934 | + | 0.417129i | ||||
\(133\) | −0.0810817 | − | 0.140438i | −0.00703067 | − | 0.0121775i | ||||
\(134\) | −2.61789 | + | 4.53432i | −0.226151 | + | 0.391705i | ||||
\(135\) | −7.33305 | + | 1.26407i | −0.631128 | + | 0.108794i | ||||
\(136\) | 1.73726 | + | 6.48356i | 0.148969 | + | 0.555960i | ||||
\(137\) | 3.12108 | + | 11.6480i | 0.266652 | + | 0.995158i | 0.961232 | + | 0.275742i | \(0.0889236\pi\) |
−0.694580 | + | 0.719416i | \(0.744410\pi\) | |||||||
\(138\) | −4.51654 | + | 2.96232i | −0.384474 | + | 0.252170i | ||||
\(139\) | −3.90855 | + | 6.76981i | −0.331519 | + | 0.574208i | −0.982810 | − | 0.184620i | \(-0.940894\pi\) |
0.651291 | + | 0.758828i | \(0.274228\pi\) | |||||||
\(140\) | 0.716030 | + | 1.24020i | 0.0605156 | + | 0.104816i | ||||
\(141\) | 1.88891 | − | 3.74919i | 0.159075 | − | 0.315739i | ||||
\(142\) | − | 10.2898i | − | 0.863501i | ||||||
\(143\) | −17.9454 | + | 13.0223i | −1.50067 | + | 1.08898i | ||||
\(144\) | 2.75160 | + | 1.19527i | 0.229300 | + | 0.0996058i | ||||
\(145\) | −10.9695 | − | 2.93926i | −0.910965 | − | 0.244092i | ||||
\(146\) | −3.02272 | + | 1.74517i | −0.250162 | + | 0.144431i | ||||
\(147\) | −1.15311 | + | 1.29241i | −0.0951070 | + | 0.106597i | ||||
\(148\) | 3.81662 | − | 3.81662i | 0.313724 | − | 0.313724i | ||||
\(149\) | −14.6256 | + | 3.91893i | −1.19818 | + | 0.321051i | −0.802114 | − | 0.597172i | \(-0.796291\pi\) |
−0.396065 | + | 0.918223i | \(0.629624\pi\) | |||||||
\(150\) | −5.09991 | + | 0.290502i | −0.416406 | + | 0.0237194i | ||||
\(151\) | 14.0334 | + | 14.0334i | 1.14202 | + | 1.14202i | 0.988080 | + | 0.153940i | \(0.0491963\pi\) |
0.153940 | + | 0.988080i | \(0.450804\pi\) | |||||||
\(152\) | 0.140438 | + | 0.0810817i | 0.0113910 | + | 0.00657659i | ||||
\(153\) | 2.28666 | + | 20.0066i | 0.184865 | + | 1.61743i | ||||
\(154\) | 1.59162 | − | 5.93999i | 0.128256 | − | 0.478658i | ||||
\(155\) | 4.62028 | 0.371110 | ||||||||
\(156\) | −4.83766 | + | 3.94931i | −0.387323 | + | 0.316198i | ||||
\(157\) | 11.1221 | 0.887637 | 0.443819 | − | 0.896117i | \(-0.353623\pi\) | ||||
0.443819 | + | 0.896117i | \(0.353623\pi\) | |||||||
\(158\) | −1.30733 | + | 4.87903i | −0.104006 | + | 0.388155i | ||||
\(159\) | −4.41108 | − | 13.3690i | −0.349822 | − | 1.06023i | ||||
\(160\) | −1.24020 | − | 0.716030i | −0.0980464 | − | 0.0566071i | ||||
\(161\) | 2.20509 | + | 2.20509i | 0.173785 | + | 0.173785i | ||||
\(162\) | 7.63582 | + | 4.76385i | 0.599927 | + | 0.374283i | ||||
\(163\) | 12.2065 | − | 3.27073i | 0.956089 | − | 0.256183i | 0.253145 | − | 0.967428i | \(-0.418535\pi\) |
0.702944 | + | 0.711245i | \(0.251868\pi\) | |||||||
\(164\) | 1.98956 | − | 1.98956i | 0.155359 | − | 0.155359i | ||||
\(165\) | −11.3816 | − | 10.1549i | −0.886059 | − | 0.790555i | ||||
\(166\) | −4.82315 | + | 2.78465i | −0.374349 | + | 0.216131i | ||||
\(167\) | −6.09250 | − | 1.63248i | −0.471452 | − | 0.126325i | 0.0152676 | − | 0.999883i | \(-0.495140\pi\) |
−0.486720 | + | 0.873558i | \(0.661807\pi\) | |||||||
\(168\) | 0.352417 | − | 1.69582i | 0.0271895 | − | 0.130835i | ||||
\(169\) | −2.68817 | − | 12.7190i | −0.206782 | − | 0.978387i | ||||
\(170\) | − | 9.61238i | − | 0.737236i | ||||||
\(171\) | 0.380839 | + | 0.302712i | 0.0291235 | + | 0.0231490i | ||||
\(172\) | 0.804764 | + | 1.39389i | 0.0613627 | + | 0.106283i | ||||
\(173\) | −1.05378 | + | 1.82519i | −0.0801171 | + | 0.138767i | −0.903300 | − | 0.429009i | \(-0.858863\pi\) |
0.823183 | + | 0.567776i | \(0.192196\pi\) | |||||||
\(174\) | 7.53307 | + | 11.4854i | 0.571080 | + | 0.870705i | ||||
\(175\) | 0.763310 | + | 2.84871i | 0.0577008 | + | 0.215342i | ||||
\(176\) | 1.59162 | + | 5.93999i | 0.119973 | + | 0.447744i | ||||
\(177\) | 6.56544 | + | 10.0101i | 0.493489 | + | 0.752404i | ||||
\(178\) | −5.31551 | + | 9.20673i | −0.398414 | + | 0.690073i | ||||
\(179\) | −11.4325 | − | 19.8016i | −0.854503 | − | 1.48004i | −0.877105 | − | 0.480298i | \(-0.840529\pi\) |
0.0226027 | − | 0.999745i | \(-0.492805\pi\) | |||||||
\(180\) | −3.36317 | − | 2.67324i | −0.250676 | − | 0.199252i | ||||
\(181\) | − | 17.3739i | − | 1.29139i | −0.763594 | − | 0.645697i | \(-0.776567\pi\) | ||
0.763594 | − | 0.645697i | \(-0.223433\pi\) | |||||||
\(182\) | 2.80073 | + | 2.27066i | 0.207604 | + | 0.168313i | ||||
\(183\) | 3.07417 | − | 14.7928i | 0.227249 | − | 1.09352i | ||||
\(184\) | −3.01221 | − | 0.807119i | −0.222063 | − | 0.0595016i | ||||
\(185\) | −6.69399 | + | 3.86478i | −0.492152 | + | 0.284144i | ||||
\(186\) | −4.16974 | − | 3.72031i | −0.305740 | − | 0.272786i | ||||
\(187\) | −29.1875 | + | 29.1875i | −2.13440 | + | 2.13440i | ||||
\(188\) | 2.34121 | − | 0.627326i | 0.170750 | − | 0.0457524i | ||||
\(189\) | 1.79588 | − | 4.87594i | 0.130631 | − | 0.354673i | ||||
\(190\) | −0.164210 | − | 0.164210i | −0.0119130 | − | 0.0119130i | ||||
\(191\) | 12.2932 | + | 7.09748i | 0.889505 | + | 0.513556i | 0.873780 | − | 0.486321i | \(-0.161661\pi\) |
0.0157241 | + | 0.999876i | \(0.494995\pi\) | |||||||
\(192\) | 0.542708 | + | 1.64483i | 0.0391666 | + | 0.118705i | ||||
\(193\) | 4.95428 | − | 18.4896i | 0.356617 | − | 1.33091i | −0.521820 | − | 0.853055i | \(-0.674747\pi\) |
0.878437 | − | 0.477858i | \(-0.158586\pi\) | |||||||
\(194\) | 4.07659 | 0.292682 | ||||||||
\(195\) | 8.15555 | − | 3.66989i | 0.584031 | − | 0.262806i | ||||
\(196\) | −1.00000 | −0.0714286 | ||||||||
\(197\) | 6.06475 | − | 22.6340i | 0.432096 | − | 1.61260i | −0.315827 | − | 0.948817i | \(-0.602282\pi\) |
0.747923 | − | 0.663786i | \(-0.231051\pi\) | |||||||
\(198\) | 2.09495 | + | 18.3293i | 0.148882 | + | 1.30260i | ||||
\(199\) | −6.10110 | − | 3.52247i | −0.432495 | − | 0.249701i | 0.267914 | − | 0.963443i | \(-0.413666\pi\) |
−0.700409 | + | 0.713742i | \(0.746999\pi\) | |||||||
\(200\) | −2.08540 | − | 2.08540i | −0.147460 | − | 0.147460i | ||||
\(201\) | −9.05396 | + | 0.515734i | −0.638617 | + | 0.0363771i | ||||
\(202\) | −10.8896 | + | 2.91786i | −0.766189 | + | 0.205300i | ||||
\(203\) | 5.60745 | − | 5.60745i | 0.393566 | − | 0.393566i | ||||
\(204\) | −7.74000 | + | 8.67504i | −0.541908 | + | 0.607374i | ||||
\(205\) | −3.48951 | + | 2.01467i | −0.243718 | + | 0.140711i | ||||
\(206\) | 6.14683 | + | 1.64704i | 0.428270 | + | 0.114755i | ||||
\(207\) | −8.58079 | − | 3.72741i | −0.596406 | − | 0.259073i | ||||
\(208\) | −3.56083 | − | 0.566088i | −0.246899 | − | 0.0392511i | ||||
\(209\) | 0.997228i | 0.0689797i | ||||||||
\(210\) | −1.11603 | + | 2.21514i | −0.0770134 | + | 0.152859i | ||||
\(211\) | 7.00393 | + | 12.1312i | 0.482171 | + | 0.835144i | 0.999791 | − | 0.0204668i | \(-0.00651522\pi\) |
−0.517620 | + | 0.855611i | \(0.673182\pi\) | |||||||
\(212\) | 4.06396 | − | 7.03898i | 0.279114 | − | 0.483439i | ||||
\(213\) | 14.9029 | − | 9.77458i | 1.02113 | − | 0.669743i | ||||
\(214\) | 4.00059 | + | 14.9304i | 0.273475 | + | 1.02062i | ||||
\(215\) | −0.596562 | − | 2.22640i | −0.0406852 | − | 0.151839i | ||||
\(216\) | 0.882694 | + | 5.12063i | 0.0600597 | + | 0.348415i | ||||
\(217\) | −1.61316 | + | 2.79408i | −0.109508 | + | 0.189674i | ||||
\(218\) | 7.73178 | + | 13.3918i | 0.523662 | + | 0.907010i | ||||
\(219\) | −5.39894 | − | 2.72009i | −0.364826 | − | 0.183806i | ||||
\(220\) | − | 8.80649i | − | 0.593734i | ||||||
\(221\) | −8.65998 | − | 22.5990i | −0.582533 | − | 1.52017i | ||||
\(222\) | 9.15320 | + | 1.90217i | 0.614322 | + | 0.127665i | ||||
\(223\) | −28.3377 | − | 7.59306i | −1.89763 | − | 0.508469i | −0.997315 | − | 0.0732348i | \(-0.976668\pi\) |
−0.900317 | − | 0.435234i | \(-0.856666\pi\) | |||||||
\(224\) | 0.866025 | − | 0.500000i | 0.0578638 | − | 0.0334077i | ||||
\(225\) | −5.26529 | − | 7.11035i | −0.351019 | − | 0.474023i | ||||
\(226\) | 8.60771 | − | 8.60771i | 0.572576 | − | 0.572576i | ||||
\(227\) | 10.9930 | − | 2.94557i | 0.729631 | − | 0.195504i | 0.125166 | − | 0.992136i | \(-0.460054\pi\) |
0.604465 | + | 0.796632i | \(0.293387\pi\) | |||||||
\(228\) | 0.0159734 | + | 0.280421i | 0.00105786 | + | 0.0185713i | ||||
\(229\) | 6.80059 | + | 6.80059i | 0.449395 | + | 0.449395i | 0.895153 | − | 0.445758i | \(-0.147066\pi\) |
−0.445758 | + | 0.895153i | \(0.647066\pi\) | |||||||
\(230\) | 3.86752 | + | 2.23292i | 0.255017 | + | 0.147234i | ||||
\(231\) | 10.1149 | − | 3.33740i | 0.665514 | − | 0.219585i | ||||
\(232\) | −2.05247 | + | 7.65992i | −0.134751 | + | 0.502899i | ||||
\(233\) | −3.30963 | −0.216821 | −0.108411 | − | 0.994106i | \(-0.534576\pi\) | ||||
−0.108411 | + | 0.994106i | \(0.534576\pi\) | |||||||
\(234\) | −10.3153 | − | 3.25492i | −0.674333 | − | 0.212781i | ||||
\(235\) | −3.47103 | −0.226425 | ||||||||
\(236\) | −1.78883 | + | 6.67601i | −0.116443 | + | 0.434571i | ||||
\(237\) | −8.30828 | + | 2.74130i | −0.539681 | + | 0.178066i | ||||
\(238\) | 5.81300 | + | 3.35614i | 0.376801 | + | 0.217546i | ||||
\(239\) | 11.9734 | + | 11.9734i | 0.774492 | + | 0.774492i | 0.978888 | − | 0.204396i | \(-0.0655230\pi\) |
−0.204396 | + | 0.978888i | \(0.565523\pi\) | |||||||
\(240\) | −0.141061 | − | 2.47639i | −0.00910542 | − | 0.159850i | ||||
\(241\) | −26.9210 | + | 7.21346i | −1.73413 | + | 0.464660i | −0.981129 | − | 0.193354i | \(-0.938063\pi\) |
−0.753006 | + | 0.658014i | \(0.771397\pi\) | |||||||
\(242\) | −18.9623 | + | 18.9623i | −1.21894 | + | 1.21894i | ||||
\(243\) | 0.353900 | + | 15.5844i | 0.0227027 | + | 0.999742i | ||||
\(244\) | 7.55443 | − | 4.36155i | 0.483623 | − | 0.279220i | ||||
\(245\) | 1.38326 | + | 0.370644i | 0.0883735 | + | 0.0236796i | ||||
\(246\) | 4.77147 | + | 0.991583i | 0.304218 | + | 0.0632210i | ||||
\(247\) | −0.534002 | − | 0.238122i | −0.0339777 | − | 0.0151514i | ||||
\(248\) | − | 3.22632i | − | 0.204872i | ||||||
\(249\) | −8.61471 | − | 4.34025i | −0.545935 | − | 0.275052i | ||||
\(250\) | 5.69187 | + | 9.85860i | 0.359985 | + | 0.623513i | ||||
\(251\) | 11.6110 | − | 20.1109i | 0.732881 | − | 1.26939i | −0.222765 | − | 0.974872i | \(-0.571508\pi\) |
0.955647 | − | 0.294516i | \(-0.0951583\pi\) | |||||||
\(252\) | 2.79086 | − | 1.10050i | 0.175808 | − | 0.0693247i | ||||
\(253\) | −4.96340 | − | 18.5237i | −0.312046 | − | 1.16457i | ||||
\(254\) | −1.59596 | − | 5.95620i | −0.100139 | − | 0.373725i | ||||
\(255\) | 13.9218 | − | 9.13107i | 0.871817 | − | 0.571810i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −10.8682 | − | 18.8242i | −0.677937 | − | 1.17422i | −0.975601 | − | 0.219550i | \(-0.929541\pi\) |
0.297664 | − | 0.954671i | \(-0.403792\pi\) | |||||||
\(258\) | −1.25433 | + | 2.48965i | −0.0780915 | + | 0.154999i | ||||
\(259\) | − | 5.39751i | − | 0.335385i | ||||||
\(260\) | 4.71576 | + | 2.10285i | 0.292459 | + | 0.130413i | ||||
\(261\) | −9.47865 | + | 21.8206i | −0.586714 | + | 1.35066i | ||||
\(262\) | −4.44359 | − | 1.19066i | −0.274526 | − | 0.0735590i | ||||
\(263\) | 6.30441 | − | 3.63985i | 0.388747 | − | 0.224443i | −0.292870 | − | 0.956152i | \(-0.594610\pi\) |
0.681617 | + | 0.731709i | \(0.261277\pi\) | |||||||
\(264\) | −7.09109 | + | 7.94774i | −0.436427 | + | 0.489149i | ||||
\(265\) | −8.23048 | + | 8.23048i | −0.505594 | + | 0.505594i | ||||
\(266\) | 0.156638 | − | 0.0419710i | 0.00960408 | − | 0.00257340i | ||||
\(267\) | −18.3837 | + | 1.04718i | −1.12506 | + | 0.0640861i | ||||
\(268\) | −3.70225 | − | 3.70225i | −0.226151 | − | 0.226151i | ||||
\(269\) | 16.1674 | + | 9.33424i | 0.985743 | + | 0.569119i | 0.903999 | − | 0.427534i | \(-0.140618\pi\) |
0.0817439 | + | 0.996653i | \(0.473951\pi\) | |||||||
\(270\) | 0.676934 | − | 7.41035i | 0.0411969 | − | 0.450979i | ||||
\(271\) | −3.19612 | + | 11.9281i | −0.194151 | + | 0.724580i | 0.798334 | + | 0.602214i | \(0.205715\pi\) |
−0.992485 | + | 0.122366i | \(0.960952\pi\) | |||||||
\(272\) | −6.71227 | −0.406991 | ||||||||
\(273\) | −0.628157 | + | 6.21333i | −0.0380178 | + | 0.376048i | ||||
\(274\) | −12.0589 | −0.728506 | ||||||||
\(275\) | 4.69400 | − | 17.5182i | 0.283059 | − | 1.05639i | ||||
\(276\) | −1.69242 | − | 5.12935i | −0.101872 | − | 0.308751i | ||||
\(277\) | 27.0494 | + | 15.6170i | 1.62524 | + | 0.938333i | 0.985486 | + | 0.169754i | \(0.0542974\pi\) |
0.639755 | + | 0.768579i | \(0.279036\pi\) | |||||||
\(278\) | −5.52753 | − | 5.52753i | −0.331519 | − | 0.331519i | ||||
\(279\) | 1.42724 | − | 9.57315i | 0.0854467 | − | 0.573130i | ||||
\(280\) | −1.38326 | + | 0.370644i | −0.0826658 | + | 0.0221502i | ||||
\(281\) | −9.52174 | + | 9.52174i | −0.568019 | + | 0.568019i | −0.931573 | − | 0.363554i | \(-0.881563\pi\) |
0.363554 | + | 0.931573i | \(0.381563\pi\) | |||||||
\(282\) | 3.13255 | + | 2.79491i | 0.186541 | + | 0.166435i | ||||
\(283\) | 13.2517 | − | 7.65087i | 0.787732 | − | 0.454797i | −0.0514315 | − | 0.998677i | \(-0.516378\pi\) |
0.839163 | + | 0.543879i | \(0.183045\pi\) | |||||||
\(284\) | 9.93919 | + | 2.66320i | 0.589782 | + | 0.158032i | ||||
\(285\) | 0.0818409 | − | 0.393816i | 0.00484783 | − | 0.0233276i | ||||
\(286\) | −7.93394 | − | 20.7043i | −0.469144 | − | 1.22427i | ||||
\(287\) | − | 2.81367i | − | 0.166086i | ||||||
\(288\) | −1.86671 | + | 2.34849i | −0.109997 | + | 0.138386i | ||||
\(289\) | −14.0273 | − | 24.2960i | −0.825135 | − | 1.42918i | ||||
\(290\) | 5.67821 | − | 9.83496i | 0.333436 | − | 0.577529i | ||||
\(291\) | 3.87247 | + | 5.90421i | 0.227008 | + | 0.346111i | ||||
\(292\) | −0.903366 | − | 3.37141i | −0.0528655 | − | 0.197297i | ||||
\(293\) | −2.15518 | − | 8.04324i | −0.125907 | − | 0.469891i | 0.873963 | − | 0.485992i | \(-0.161541\pi\) |
−0.999870 | + | 0.0161006i | \(0.994875\pi\) | |||||||
\(294\) | −0.949929 | − | 1.44832i | −0.0554010 | − | 0.0844678i | ||||
\(295\) | 4.94885 | − | 8.57166i | 0.288133 | − | 0.499061i | ||||
\(296\) | 2.69875 | + | 4.67438i | 0.156862 | + | 0.271693i | ||||
\(297\) | −24.5566 | + | 20.4457i | −1.42492 | + | 1.18638i | ||||
\(298\) | − | 15.1416i | − | 0.877127i | ||||||
\(299\) | 11.1044 | + | 1.76533i | 0.642181 | + | 0.102091i | ||||
\(300\) | 1.03935 | − | 5.00132i | 0.0600068 | − | 0.288751i | ||||
\(301\) | 1.55468 | + | 0.416576i | 0.0896105 | + | 0.0240111i | ||||
\(302\) | −17.1873 | + | 9.92310i | −0.989019 | + | 0.571010i | ||||
\(303\) | −14.5703 | − | 12.9999i | −0.837043 | − | 0.746823i | ||||
\(304\) | −0.114667 | + | 0.114667i | −0.00657659 | + | 0.00657659i | ||||
\(305\) | −12.0664 | + | 3.23317i | −0.690917 | + | 0.185131i | ||||
\(306\) | −19.9167 | − | 2.96934i | −1.13856 | − | 0.169746i | ||||
\(307\) | 8.34685 | + | 8.34685i | 0.476380 | + | 0.476380i | 0.903972 | − | 0.427592i | \(-0.140638\pi\) |
−0.427592 | + | 0.903972i | \(0.640638\pi\) | |||||||
\(308\) | 5.32565 | + | 3.07476i | 0.303457 | + | 0.175201i | ||||
\(309\) | 3.45361 | + | 10.4672i | 0.196469 | + | 0.595456i | ||||
\(310\) | −1.19582 | + | 4.46285i | −0.0679179 | + | 0.253473i | ||||
\(311\) | 26.0701 | 1.47830 | 0.739149 | − | 0.673542i | \(-0.235228\pi\) | ||||
0.739149 | + | 0.673542i | \(0.235228\pi\) | |||||||
\(312\) | −2.56266 | − | 5.69498i | −0.145082 | − | 0.322415i | ||||
\(313\) | 3.52605 | 0.199304 | 0.0996520 | − | 0.995022i | \(-0.468227\pi\) | ||||
0.0996520 | + | 0.995022i | \(0.468227\pi\) | |||||||
\(314\) | −2.87860 | + | 10.7431i | −0.162449 | + | 0.606268i | ||||
\(315\) | −4.26839 | + | 0.487857i | −0.240497 | + | 0.0274877i | ||||
\(316\) | −4.37442 | − | 2.52557i | −0.246080 | − | 0.142075i | ||||
\(317\) | −4.13339 | − | 4.13339i | −0.232154 | − | 0.232154i | 0.581437 | − | 0.813591i | \(-0.302491\pi\) |
−0.813591 | + | 0.581437i | \(0.802491\pi\) | |||||||
\(318\) | 14.0552 | − | 0.800615i | 0.788175 | − | 0.0448963i | ||||
\(319\) | −47.1049 | + | 12.6217i | −2.63737 | + | 0.706681i | ||||
\(320\) | 1.01262 | − | 1.01262i | 0.0566071 | − | 0.0566071i | ||||
\(321\) | −17.8237 | + | 19.9770i | −0.994824 | + | 1.11501i | ||||
\(322\) | −2.70067 | + | 1.55923i | −0.150503 | + | 0.0868927i | ||||
\(323\) | −1.05140 | − | 0.281721i | −0.0585012 | − | 0.0156753i | ||||
\(324\) | −6.57782 | + | 6.14266i | −0.365435 | + | 0.341259i | ||||
\(325\) | 8.25993 | + | 6.69665i | 0.458178 | + | 0.371463i | ||||
\(326\) | 12.6371i | 0.699906i | ||||||||
\(327\) | −12.0510 | + | 23.9194i | −0.666424 | + | 1.32275i | ||||
\(328\) | 1.40683 | + | 2.43671i | 0.0776794 | + | 0.134545i | ||||
\(329\) | 1.21190 | − | 2.09907i | 0.0668142 | − | 0.115726i | ||||
\(330\) | 12.7546 | − | 8.36554i | 0.702119 | − | 0.460508i | ||||
\(331\) | −1.12226 | − | 4.18832i | −0.0616848 | − | 0.230211i | 0.928201 | − | 0.372080i | \(-0.121355\pi\) |
−0.989885 | + | 0.141869i | \(0.954689\pi\) | |||||||
\(332\) | −1.44144 | − | 5.37952i | −0.0791093 | − | 0.295240i | ||||
\(333\) | 5.93993 | + | 15.0637i | 0.325506 | + | 0.825486i | ||||
\(334\) | 3.15371 | − | 5.46239i | 0.172563 | − | 0.298889i | ||||
\(335\) | 3.74897 | + | 6.49341i | 0.204828 | + | 0.354773i | ||||
\(336\) | 1.54682 | + | 0.779319i | 0.0843861 | + | 0.0425153i | ||||
\(337\) | 28.1885i | 1.53552i | 0.640735 | + | 0.767762i | \(0.278630\pi\) | ||||
−0.640735 | + | 0.767762i | \(0.721370\pi\) | |||||||
\(338\) | 12.9814 | + | 0.695353i | 0.706095 | + | 0.0378222i | ||||
\(339\) | 20.6434 | + | 4.29002i | 1.12120 | + | 0.233002i | ||||
\(340\) | 9.28484 | + | 2.48787i | 0.503541 | + | 0.134923i | ||||
\(341\) | 17.1822 | − | 9.92018i | 0.930471 | − | 0.537208i | ||||
\(342\) | −0.390966 | + | 0.289514i | −0.0211410 | + | 0.0156551i | ||||
\(343\) | −0.707107 | + | 0.707107i | −0.0381802 | + | 0.0381802i | ||||
\(344\) | −1.55468 | + | 0.416576i | −0.0838229 | + | 0.0224603i | ||||
\(345\) | 0.439893 | + | 7.72253i | 0.0236830 | + | 0.415767i | ||||
\(346\) | −1.49026 | − | 1.49026i | −0.0801171 | − | 0.0801171i | ||||
\(347\) | 4.48337 | + | 2.58848i | 0.240680 | + | 0.138957i | 0.615489 | − | 0.788145i | \(-0.288958\pi\) |
−0.374809 | + | 0.927102i | \(0.622292\pi\) | |||||||
\(348\) | −13.0437 | + | 4.30375i | −0.699217 | + | 0.230705i | ||||
\(349\) | −2.58678 | + | 9.65399i | −0.138467 | + | 0.516766i | 0.861492 | + | 0.507770i | \(0.169530\pi\) |
−0.999960 | + | 0.00899587i | \(0.997136\pi\) | |||||||
\(350\) | −2.94920 | −0.157642 | ||||||||
\(351\) | −5.08464 | − | 18.0318i | −0.271398 | − | 0.962467i | ||||
\(352\) | −6.14953 | −0.327771 | ||||||||
\(353\) | −7.77840 | + | 29.0294i | −0.414003 | + | 1.54508i | 0.372822 | + | 0.927903i | \(0.378390\pi\) |
−0.786825 | + | 0.617176i | \(0.788277\pi\) | |||||||
\(354\) | −11.3683 | + | 3.75093i | −0.604217 | + | 0.199360i | ||||
\(355\) | −12.7614 | − | 7.36781i | −0.677306 | − | 0.391043i | ||||
\(356\) | −7.51726 | − | 7.51726i | −0.398414 | − | 0.398414i | ||||
\(357\) | 0.661172 | + | 11.6072i | 0.0349929 | + | 0.614317i | ||||
\(358\) | 22.0858 | − | 5.91788i | 1.16727 | − | 0.312770i | ||||
\(359\) | −4.39884 | + | 4.39884i | −0.232162 | + | 0.232162i | −0.813594 | − | 0.581433i | \(-0.802492\pi\) |
0.581433 | + | 0.813594i | \(0.302492\pi\) | |||||||
\(360\) | 3.45261 | − | 2.55669i | 0.181968 | − | 0.134749i | ||||
\(361\) | 16.4317 | − | 9.48685i | 0.864827 | − | 0.499308i | ||||
\(362\) | 16.7819 | + | 4.49670i | 0.882039 | + | 0.236342i | ||||
\(363\) | −45.4763 | − | 9.45066i | −2.38689 | − | 0.496031i | ||||
\(364\) | −2.91818 | + | 2.11761i | −0.152954 | + | 0.110993i | ||||
\(365\) | 4.99837i | 0.261627i | ||||||||
\(366\) | 13.4931 | + | 6.79808i | 0.705296 | + | 0.355341i | ||||
\(367\) | 2.35165 | + | 4.07318i | 0.122755 | + | 0.212618i | 0.920853 | − | 0.389909i | \(-0.127494\pi\) |
−0.798098 | + | 0.602528i | \(0.794160\pi\) | |||||||
\(368\) | 1.55923 | − | 2.70067i | 0.0812807 | − | 0.140782i | ||||
\(369\) | 3.09643 | + | 7.85256i | 0.161194 | + | 0.408788i | ||||
\(370\) | −2.00056 | − | 7.46618i | −0.104004 | − | 0.388148i | ||||
\(371\) | −2.10366 | − | 7.85096i | −0.109217 | − | 0.407602i | ||||
\(372\) | 4.67275 | − | 3.06478i | 0.242271 | − | 0.158901i | ||||
\(373\) | 5.29582 | − | 9.17262i | 0.274207 | − | 0.474940i | −0.695728 | − | 0.718306i | \(-0.744918\pi\) |
0.969935 | + | 0.243365i | \(0.0782514\pi\) | |||||||
\(374\) | −20.6387 | − | 35.7472i | −1.06720 | − | 1.84844i | ||||
\(375\) | −8.87156 | + | 17.6086i | −0.458125 | + | 0.909306i | ||||
\(376\) | 2.42380i | 0.124998i | ||||||||
\(377\) | 4.48915 | − | 28.2379i | 0.231203 | − | 1.45433i | ||||
\(378\) | 4.24499 | + | 2.99667i | 0.218339 | + | 0.154132i | ||||
\(379\) | −21.5507 | − | 5.77450i | −1.10699 | − | 0.296616i | −0.341380 | − | 0.939925i | \(-0.610894\pi\) |
−0.765607 | + | 0.643309i | \(0.777561\pi\) | |||||||
\(380\) | 0.201115 | − | 0.116114i | 0.0103170 | − | 0.00595651i | ||||
\(381\) | 7.11044 | − | 7.96942i | 0.364279 | − | 0.408286i | ||||
\(382\) | −10.0374 | + | 10.0374i | −0.513556 | + | 0.513556i | ||||
\(383\) | −14.4047 | + | 3.85972i | −0.736044 | + | 0.197222i | −0.607319 | − | 0.794458i | \(-0.707755\pi\) |
−0.128725 | + | 0.991680i | \(0.541088\pi\) | |||||||
\(384\) | −1.72925 | + | 0.0985019i | −0.0882453 | + | 0.00502665i | ||||
\(385\) | −6.22713 | − | 6.22713i | −0.317364 | − | 0.317364i | ||||
\(386\) | 16.5774 | + | 9.57094i | 0.843765 | + | 0.487148i | ||||
\(387\) | −4.79735 | + | 0.548315i | −0.243863 | + | 0.0278724i | ||||
\(388\) | −1.05510 | + | 3.93768i | −0.0535645 | + | 0.199906i | ||||
\(389\) | −14.6386 | −0.742205 | −0.371103 | − | 0.928592i | \(-0.621020\pi\) | ||||
−0.371103 | + | 0.928592i | \(0.621020\pi\) | |||||||
\(390\) | 1.43403 | + | 8.82749i | 0.0726148 | + | 0.446997i | ||||
\(391\) | 20.9320 | 1.05858 | ||||||||
\(392\) | 0.258819 | − | 0.965926i | 0.0130723 | − | 0.0487866i | ||||
\(393\) | −2.49664 | − | 7.56678i | −0.125939 | − | 0.381694i | ||||
\(394\) | 20.2930 | + | 11.7162i | 1.02235 | + | 0.590253i | ||||
\(395\) | 5.11489 | + | 5.11489i | 0.257358 | + | 0.257358i | ||||
\(396\) | −18.2469 | − | 2.72039i | −0.916942 | − | 0.136705i | ||||
\(397\) | 22.0441 | − | 5.90671i | 1.10636 | − | 0.296449i | 0.341010 | − | 0.940060i | \(-0.389231\pi\) |
0.765353 | + | 0.643611i | \(0.222564\pi\) | |||||||
\(398\) | 4.98153 | − | 4.98153i | 0.249701 | − | 0.249701i | ||||
\(399\) | 0.209582 | + | 0.186992i | 0.0104922 | + | 0.00936133i | ||||
\(400\) | 2.55409 | − | 1.47460i | 0.127704 | − | 0.0737301i | ||||
\(401\) | 19.3124 | + | 5.17474i | 0.964414 | + | 0.258414i | 0.706468 | − | 0.707745i | \(-0.250288\pi\) |
0.257946 | + | 0.966159i | \(0.416954\pi\) | |||||||
\(402\) | 1.84518 | − | 8.87893i | 0.0920290 | − | 0.442841i | ||||
\(403\) | 1.20927 | + | 11.5696i | 0.0602379 | + | 0.576325i | ||||
\(404\) | − | 11.2737i | − | 0.560889i | ||||||
\(405\) | 11.3756 | − | 6.05888i | 0.565258 | − | 0.301068i | ||||
\(406\) | 3.96507 | + | 6.86770i | 0.196783 | + | 0.340838i | ||||
\(407\) | −16.5961 | + | 28.7452i | −0.822637 | + | 1.42485i | ||||
\(408\) | −6.37618 | − | 9.72153i | −0.315668 | − | 0.481287i | ||||
\(409\) | −4.36347 | − | 16.2847i | −0.215760 | − | 0.805226i | −0.985898 | − | 0.167349i | \(-0.946479\pi\) |
0.770138 | − | 0.637877i | \(-0.220187\pi\) | |||||||
\(410\) | −1.04287 | − | 3.89204i | −0.0515037 | − | 0.192214i | ||||
\(411\) | −11.4551 | − | 17.4652i | −0.565039 | − | 0.861495i | ||||
\(412\) | −3.18184 | + | 5.51110i | −0.156758 | + | 0.271512i | ||||
\(413\) | 3.45576 | + | 5.98554i | 0.170047 | + | 0.294529i | ||||
\(414\) | 5.82128 | − | 7.32368i | 0.286100 | − | 0.359939i | ||||
\(415\) | 7.97556i | 0.391505i | ||||||||
\(416\) | 1.46841 | − | 3.29299i | 0.0719948 | − | 0.161452i | ||||
\(417\) | 2.75488 | − | 13.2564i | 0.134907 | − | 0.649168i | ||||
\(418\) | −0.963248 | − | 0.258102i | −0.0471140 | − | 0.0126242i | ||||
\(419\) | 27.4158 | − | 15.8285i | 1.33935 | − | 0.773275i | 0.352640 | − | 0.935759i | \(-0.385284\pi\) |
0.986711 | + | 0.162484i | \(0.0519506\pi\) | |||||||
\(420\) | −1.85081 | − | 1.65132i | −0.0903105 | − | 0.0805764i | ||||
\(421\) | −10.9210 | + | 10.9210i | −0.532256 | + | 0.532256i | −0.921243 | − | 0.388987i | \(-0.872825\pi\) |
0.388987 | + | 0.921243i | \(0.372825\pi\) | |||||||
\(422\) | −13.5306 | + | 3.62550i | −0.658657 | + | 0.176487i | ||||
\(423\) | −1.07223 | + | 7.19191i | −0.0521334 | + | 0.349683i | ||||
\(424\) | 5.74730 | + | 5.74730i | 0.279114 | + | 0.279114i | ||||
\(425\) | 17.1437 | + | 9.89793i | 0.831593 | + | 0.480120i | ||||
\(426\) | 5.58436 | + | 16.9250i | 0.270563 | + | 0.820018i | ||||
\(427\) | 2.25771 | − | 8.42587i | 0.109258 | − | 0.407756i | ||||
\(428\) | −15.4571 | −0.747147 | ||||||||
\(429\) | 22.4499 | − | 31.1586i | 1.08389 | − | 1.50435i | ||||
\(430\) | 2.30494 | 0.111154 | ||||||||
\(431\) | 4.82835 | − | 18.0196i | 0.232573 | − | 0.867976i | −0.746654 | − | 0.665212i | \(-0.768341\pi\) |
0.979228 | − | 0.202763i | \(-0.0649922\pi\) | |||||||
\(432\) | −5.17461 | − | 0.472699i | −0.248963 | − | 0.0227428i | ||||
\(433\) | 18.0627 | + | 10.4285i | 0.868037 | + | 0.501161i | 0.866695 | − | 0.498838i | \(-0.166240\pi\) |
0.00134144 | + | 0.999999i | \(0.499573\pi\) | |||||||
\(434\) | −2.28135 | − | 2.28135i | −0.109508 | − | 0.109508i | ||||
\(435\) | 19.6381 | − | 1.11863i | 0.941574 | − | 0.0536342i | ||||
\(436\) | −14.9367 | + | 4.00226i | −0.715336 | + | 0.191674i | ||||
\(437\) | 0.357585 | − | 0.357585i | 0.0171056 | − | 0.0171056i | ||||
\(438\) | 4.02475 | − | 4.51096i | 0.192310 | − | 0.215542i | ||||
\(439\) | 34.7872 | − | 20.0844i | 1.66030 | − | 0.958577i | 0.687736 | − | 0.725961i | \(-0.258605\pi\) |
0.972568 | − | 0.232617i | \(-0.0747288\pi\) | |||||||
\(440\) | 8.50642 | + | 2.27929i | 0.405528 | + | 0.108661i | ||||
\(441\) | 1.19527 | − | 2.75160i | 0.0569176 | − | 0.131029i | ||||
\(442\) | 24.0703 | − | 2.51585i | 1.14491 | − | 0.119667i | ||||
\(443\) | 22.0050i | 1.04549i | 0.852490 | + | 0.522744i | \(0.175092\pi\) | ||||
−0.852490 | + | 0.522744i | \(0.824908\pi\) | |||||||
\(444\) | −4.20638 | + | 8.34899i | −0.199626 | + | 0.396226i | ||||
\(445\) | 7.61212 | + | 13.1846i | 0.360849 | + | 0.625009i | ||||
\(446\) | 14.6687 | − | 25.4069i | 0.694582 | − | 1.20305i | ||||
\(447\) | 21.9299 | − | 14.3834i | 1.03725 | − | 0.680312i | ||||
\(448\) | 0.258819 | + | 0.965926i | 0.0122281 | + | 0.0456357i | ||||
\(449\) | 8.30965 | + | 31.0120i | 0.392157 | + | 1.46355i | 0.826569 | + | 0.562835i | \(0.190289\pi\) |
−0.434413 | + | 0.900714i | \(0.643044\pi\) | |||||||
\(450\) | 8.23082 | − | 3.24559i | 0.388005 | − | 0.152998i | ||||
\(451\) | −8.65137 | + | 14.9846i | −0.407377 | + | 0.705598i | ||||
\(452\) | 6.08657 | + | 10.5422i | 0.286288 | + | 0.495866i | ||||
\(453\) | −30.6986 | − | 15.4665i | −1.44234 | − | 0.726680i | ||||
\(454\) | 11.3808i | 0.534127i | ||||||||
\(455\) | 4.82148 | − | 1.84760i | 0.226035 | − | 0.0866169i | ||||
\(456\) | −0.275000 | − | 0.0571491i | −0.0128780 | − | 0.00267625i | ||||
\(457\) | 18.3393 | + | 4.91399i | 0.857875 | + | 0.229867i | 0.660837 | − | 0.750529i | \(-0.270201\pi\) |
0.197037 | + | 0.980396i | \(0.436868\pi\) | |||||||
\(458\) | −8.32898 | + | 4.80874i | −0.389188 | + | 0.224698i | ||||
\(459\) | −14.6189 | − | 31.6664i | −0.682351 | − | 1.47806i | ||||
\(460\) | −3.15782 | + | 3.15782i | −0.147234 | + | 0.147234i | ||||
\(461\) | 5.62076 | − | 1.50608i | 0.261785 | − | 0.0701450i | −0.125539 | − | 0.992089i | \(-0.540066\pi\) |
0.387324 | + | 0.921944i | \(0.373399\pi\) | |||||||
\(462\) | 0.605740 | + | 10.6341i | 0.0281816 | + | 0.494741i | ||||
\(463\) | 14.7365 | + | 14.7365i | 0.684863 | + | 0.684863i | 0.961092 | − | 0.276229i | \(-0.0890849\pi\) |
−0.276229 | + | 0.961092i | \(0.589085\pi\) | |||||||
\(464\) | −6.86770 | − | 3.96507i | −0.318825 | − | 0.184074i | ||||
\(465\) | −7.59958 | + | 2.50746i | −0.352422 | + | 0.116281i | ||||
\(466\) | 0.856596 | − | 3.19686i | 0.0396811 | − | 0.148092i | ||||
\(467\) | −7.39814 | −0.342345 | −0.171173 | − | 0.985241i | \(-0.554756\pi\) | ||||
−0.171173 | + | 0.985241i | \(0.554756\pi\) | |||||||
\(468\) | 5.81381 | − | 9.12138i | 0.268743 | − | 0.421636i | ||||
\(469\) | −5.23578 | −0.241766 | ||||||||
\(470\) | 0.898368 | − | 3.35275i | 0.0414386 | − | 0.154651i | ||||
\(471\) | −18.2939 | + | 6.03603i | −0.842939 | + | 0.278126i | ||||
\(472\) | −5.98554 | − | 3.45576i | −0.275507 | − | 0.159064i | ||||
\(473\) | −6.99883 | − | 6.99883i | −0.321806 | − | 0.321806i | ||||
\(474\) | −0.497548 | − | 8.73468i | −0.0228531 | − | 0.401197i | ||||
\(475\) | 0.461957 | − | 0.123781i | 0.0211960 | − | 0.00567946i | ||||
\(476\) | −4.74629 | + | 4.74629i | −0.217546 | + | 0.217546i | ||||
\(477\) | 14.5110 | + | 19.5959i | 0.664412 | + | 0.897234i | ||||
\(478\) | −14.6643 | + | 8.46645i | −0.670730 | + | 0.387246i | ||||
\(479\) | −37.4614 | − | 10.0378i | −1.71166 | − | 0.458637i | −0.735826 | − | 0.677171i | \(-0.763206\pi\) |
−0.975829 | + | 0.218534i | \(0.929873\pi\) | |||||||
\(480\) | 2.42851 | + | 0.504682i | 0.110846 | + | 0.0230355i | ||||
\(481\) | −11.4298 | − | 15.7509i | −0.521154 | − | 0.718178i | ||||
\(482\) | − | 27.8707i | − | 1.26947i | ||||||
\(483\) | −4.82372 | − | 2.43028i | −0.219487 | − | 0.110582i | ||||
\(484\) | −13.4084 | − | 23.2240i | −0.609471 | − | 1.05563i | ||||
\(485\) | 2.91896 | − | 5.05579i | 0.132543 | − | 0.229571i | ||||
\(486\) | −15.1450 | − | 3.69171i | −0.686992 | − | 0.167459i | ||||
\(487\) | 0.671688 | + | 2.50677i | 0.0304371 | + | 0.113593i | 0.979473 | − | 0.201575i | \(-0.0646059\pi\) |
−0.949036 | + | 0.315168i | \(0.897939\pi\) | |||||||
\(488\) | 2.25771 | + | 8.42587i | 0.102202 | + | 0.381421i | ||||
\(489\) | −18.3026 | + | 12.0044i | −0.827674 | + | 0.542857i | ||||
\(490\) | −0.716030 | + | 1.24020i | −0.0323469 | + | 0.0560265i | ||||
\(491\) | −6.49780 | − | 11.2545i | −0.293241 | − | 0.507909i | 0.681333 | − | 0.731974i | \(-0.261401\pi\) |
−0.974574 | + | 0.224065i | \(0.928067\pi\) | |||||||
\(492\) | −2.19274 | + | 4.35225i | −0.0988565 | + | 0.196214i | ||||
\(493\) | − | 53.2292i | − | 2.39732i | ||||||
\(494\) | 0.368218 | − | 0.454176i | 0.0165669 | − | 0.0204343i | ||||
\(495\) | 24.2320 | + | 10.5261i | 1.08915 | + | 0.473115i | ||||
\(496\) | 3.11639 | + | 0.835033i | 0.139930 | + | 0.0374941i | ||||
\(497\) | 8.91123 | − | 5.14490i | 0.399723 | − | 0.230780i | ||||
\(498\) | 6.42202 | − | 7.19783i | 0.287777 | − | 0.322543i | ||||
\(499\) | 3.36337 | − | 3.36337i | 0.150565 | − | 0.150565i | −0.627805 | − | 0.778370i | \(-0.716047\pi\) |
0.778370 | + | 0.627805i | \(0.216047\pi\) | |||||||
\(500\) | −10.9958 | + | 2.94633i | −0.491749 | + | 0.131764i | ||||
\(501\) | 10.9071 | − | 0.621293i | 0.487293 | − | 0.0277573i | ||||
\(502\) | 16.4205 | + | 16.4205i | 0.732881 | + | 0.732881i | ||||
\(503\) | −20.9751 | − | 12.1100i | −0.935233 | − | 0.539957i | −0.0467700 | − | 0.998906i | \(-0.514893\pi\) |
−0.888463 | + | 0.458949i | \(0.848226\pi\) | |||||||
\(504\) | 0.340668 | + | 2.98059i | 0.0151746 | + | 0.132766i | ||||
\(505\) | −4.17854 | + | 15.5945i | −0.185943 | + | 0.693948i | ||||
\(506\) | 19.1771 | 0.852527 | ||||||||
\(507\) | 11.3243 | + | 19.4618i | 0.502930 | + | 0.864327i | ||||
\(508\) | 6.16631 | 0.273586 | ||||||||
\(509\) | 0.997603 | − | 3.72310i | 0.0442180 | − | 0.165024i | −0.940286 | − | 0.340385i | \(-0.889443\pi\) |
0.984504 | + | 0.175361i | \(0.0561093\pi\) | |||||||
\(510\) | 5.21671 | + | 15.8107i | 0.231000 | + | 0.700111i | ||||
\(511\) | −3.02272 | − | 1.74517i | −0.133717 | − | 0.0772017i | ||||
\(512\) | −0.707107 | − | 0.707107i | −0.0312500 | − | 0.0312500i | ||||
\(513\) | −0.790699 | − | 0.291226i | −0.0349102 | − | 0.0128579i | ||||
\(514\) | 20.9957 | − | 5.62577i | 0.926079 | − | 0.248142i | ||||
\(515\) | 6.44397 | − | 6.44397i | 0.283955 | − | 0.283955i | ||||
\(516\) | −2.08018 | − | 1.85596i | −0.0915746 | − | 0.0817043i | ||||
\(517\) | −12.9083 | + | 7.45261i | −0.567707 | + | 0.327766i | ||||
\(518\) | 5.21359 | + | 1.39698i | 0.229072 | + | 0.0613797i | ||||
\(519\) | 0.742736 | − | 3.57403i | 0.0326025 | − | 0.156882i | ||||
\(520\) | −3.25173 | + | 4.01081i | −0.142598 | + | 0.175886i | ||||
\(521\) | 39.7240i | 1.74034i | 0.492750 | + | 0.870171i | \(0.335992\pi\) | ||||
−0.492750 | + | 0.870171i | \(0.664008\pi\) | |||||||
\(522\) | −18.6238 | − | 14.8033i | −0.815143 | − | 0.647921i | ||||
\(523\) | 10.6683 | + | 18.4781i | 0.466493 | + | 0.807989i | 0.999268 | − | 0.0382680i | \(-0.0121841\pi\) |
−0.532775 | + | 0.846257i | \(0.678851\pi\) | |||||||
\(524\) | 2.30017 | − | 3.98401i | 0.100483 | − | 0.174042i | ||||
\(525\) | −2.80154 | − | 4.27140i | −0.122269 | − | 0.186419i | ||||
\(526\) | 1.88413 | + | 7.03166i | 0.0821518 | + | 0.306595i | ||||
\(527\) | 5.60497 | + | 20.9180i | 0.244156 | + | 0.911204i | ||||
\(528\) | −5.84162 | − | 8.90650i | −0.254224 | − | 0.387605i | ||||
\(529\) | 6.63758 | − | 11.4966i | 0.288590 | − | 0.499853i | ||||
\(530\) | −5.81983 | − | 10.0802i | −0.252797 | − | 0.437858i | ||||
\(531\) | −16.2316 | − | 12.9018i | −0.704391 | − | 0.559890i | ||||
\(532\) | 0.162163i | 0.00703067i | ||||||||
\(533\) | −5.95824 | − | 8.21077i | −0.258080 | − | 0.355648i | ||||
\(534\) | 3.74655 | − | 18.0283i | 0.162129 | − | 0.780160i | ||||
\(535\) | 21.3812 | + | 5.72908i | 0.924391 | + | 0.247690i | ||||
\(536\) | 4.53432 | − | 2.61789i | 0.195853 | − | 0.113076i | ||||
\(537\) | 29.5510 | + | 26.3658i | 1.27522 | + | 1.13777i | ||||
\(538\) | −13.2006 | + | 13.2006i | −0.569119 | + | 0.569119i | ||||
\(539\) | 5.93999 | − | 1.59162i | 0.255853 | − | 0.0685557i | ||||
\(540\) | 6.98264 | + | 2.57181i | 0.300485 | + | 0.110673i | ||||
\(541\) | 12.5794 | + | 12.5794i | 0.540830 | + | 0.540830i | 0.923772 | − | 0.382942i | \(-0.125089\pi\) |
−0.382942 | + | 0.923772i | \(0.625089\pi\) | |||||||
\(542\) | −10.6944 | − | 6.17444i | −0.459365 | − | 0.265215i | ||||
\(543\) | 9.42897 | + | 28.5772i | 0.404636 | + | 1.22636i | ||||
\(544\) | 1.73726 | − | 6.48356i | 0.0744846 | − | 0.277980i | ||||
\(545\) | 22.1447 | 0.948576 | ||||||||
\(546\) | −5.83903 | − | 2.21488i | −0.249888 | − | 0.0947881i | ||||
\(547\) | 34.7955 | 1.48775 | 0.743874 | − | 0.668320i | \(-0.232986\pi\) | ||||
0.743874 | + | 0.668320i | \(0.232986\pi\) | |||||||
\(548\) | 3.12108 | − | 11.6480i | 0.133326 | − | 0.497579i | ||||
\(549\) | 2.97169 | + | 26.0000i | 0.126828 | + | 1.10965i | ||||
\(550\) | 15.7064 | + | 9.06811i | 0.669724 | + | 0.386666i | ||||
\(551\) | −0.909323 | − | 0.909323i | −0.0387385 | − | 0.0387385i | ||||
\(552\) | 5.39260 | − | 0.307175i | 0.229524 | − | 0.0130742i | ||||
\(553\) | −4.87903 | + | 1.30733i | −0.207478 | + | 0.0555934i | ||||
\(554\) | −22.0857 | + | 22.0857i | −0.938333 | + | 0.938333i | ||||
\(555\) | 8.91304 | − | 9.98979i | 0.378337 | − | 0.424043i | ||||
\(556\) | 6.76981 | − | 3.90855i | 0.287104 | − | 0.165760i | ||||
\(557\) | 4.18738 | + | 1.12200i | 0.177425 | + | 0.0475408i | 0.346438 | − | 0.938073i | \(-0.387391\pi\) |
−0.169013 | + | 0.985614i | \(0.554058\pi\) | |||||||
\(558\) | 8.87756 | + | 3.85632i | 0.375817 | + | 0.163251i | ||||
\(559\) | 5.41898 | − | 2.07657i | 0.229199 | − | 0.0878294i | ||||
\(560\) | − | 1.43206i | − | 0.0605156i | ||||||
\(561\) | 32.1682 | − | 63.8487i | 1.35814 | − | 2.69570i | ||||
\(562\) | −6.73289 | − | 11.6617i | −0.284010 | − | 0.491919i | ||||
\(563\) | 3.27325 | − | 5.66944i | 0.137951 | − | 0.238939i | −0.788770 | − | 0.614689i | \(-0.789282\pi\) |
0.926721 | + | 0.375750i | \(0.122615\pi\) | |||||||
\(564\) | −3.51044 | + | 2.30244i | −0.147816 | + | 0.0969501i | ||||
\(565\) | −4.51191 | − | 16.8387i | −0.189817 | − | 0.708408i | ||||
\(566\) | 3.96038 | + | 14.7804i | 0.166467 | + | 0.621265i | ||||
\(567\) | −0.307705 | + | 8.99474i | −0.0129224 | + | 0.377744i | ||||
\(568\) | −5.14490 | + | 8.91123i | −0.215875 | + | 0.373907i | ||||
\(569\) | −6.25227 | − | 10.8293i | −0.262109 | − | 0.453986i | 0.704693 | − | 0.709512i | \(-0.251085\pi\) |
−0.966802 | + | 0.255526i | \(0.917751\pi\) | |||||||
\(570\) | 0.359215 | + | 0.180979i | 0.0150459 | + | 0.00758039i | ||||
\(571\) | − | 26.7641i | − | 1.12004i | −0.828478 | − | 0.560022i | \(-0.810793\pi\) | ||
0.828478 | − | 0.560022i | \(-0.189207\pi\) | |||||||
\(572\) | 22.0523 | − | 2.30492i | 0.922054 | − | 0.0963737i | ||||
\(573\) | −24.0721 | − | 5.00254i | −1.00563 | − | 0.208984i | ||||
\(574\) | 2.71779 | + | 0.728231i | 0.113439 | + | 0.0303958i | ||||
\(575\) | −7.96484 | + | 4.59850i | −0.332157 | + | 0.191771i | ||||
\(576\) | −1.78532 | − | 2.41094i | −0.0743885 | − | 0.100456i | ||||
\(577\) | 4.03263 | − | 4.03263i | 0.167881 | − | 0.167881i | −0.618166 | − | 0.786047i | \(-0.712124\pi\) |
0.786047 | + | 0.618166i | \(0.212124\pi\) | |||||||
\(578\) | 27.0987 | − | 7.26107i | 1.12716 | − | 0.302021i | ||||
\(579\) | 1.88551 | + | 33.1010i | 0.0783592 | + | 1.37563i | ||||
\(580\) | 8.03021 | + | 8.03021i | 0.333436 | + | 0.333436i | ||||
\(581\) | −4.82315 | − | 2.78465i | −0.200098 | − | 0.115527i | ||||
\(582\) | −6.70530 | + | 2.21240i | −0.277944 | + | 0.0917068i | ||||
\(583\) | −12.9365 | + | 48.2797i | −0.535776 | + | 1.99954i | ||||
\(584\) | 3.49034 | 0.144431 | ||||||||
\(585\) | −11.4228 | + | 10.4624i | −0.472275 | + | 0.432568i | ||||
\(586\) | 8.32698 | 0.343984 | ||||||||
\(587\) | −2.24740 | + | 8.38743i | −0.0927603 | + | 0.346186i | −0.996670 | − | 0.0815364i | \(-0.974017\pi\) |
0.903910 | + | 0.427723i | \(0.140684\pi\) | |||||||
\(588\) | 1.64483 | − | 0.542708i | 0.0678317 | − | 0.0223809i | ||||
\(589\) | 0.453097 | + | 0.261595i | 0.0186695 | + | 0.0107789i | ||||
\(590\) | 6.99873 | + | 6.99873i | 0.288133 | + | 0.288133i | ||||
\(591\) | 2.30814 | + | 40.5204i | 0.0949440 | + | 1.66679i | ||||
\(592\) | −5.21359 | + | 1.39698i | −0.214277 | + | 0.0574154i | ||||
\(593\) | 24.5123 | − | 24.5123i | 1.00660 | − | 1.00660i | 0.00662184 | − | 0.999978i | \(-0.497892\pi\) |
0.999978 | − | 0.00662184i | \(-0.00210781\pi\) | |||||||
\(594\) | −13.3933 | − | 29.0116i | −0.549532 | − | 1.19036i | ||||
\(595\) | 8.32456 | − | 4.80619i | 0.341274 | − | 0.197034i | ||||
\(596\) | 14.6256 | + | 3.91893i | 0.599089 | + | 0.160525i | ||||
\(597\) | 11.9469 | + | 2.48275i | 0.488956 | + | 0.101612i | ||||
\(598\) | −4.57919 | + | 10.2691i | −0.187257 | + | 0.419934i | ||||
\(599\) | − | 18.6052i | − | 0.760188i | −0.924948 | − | 0.380094i | \(-0.875892\pi\) | ||
0.924948 | − | 0.380094i | \(-0.124108\pi\) | |||||||
\(600\) | 4.56190 | + | 2.29837i | 0.186239 | + | 0.0938306i | ||||
\(601\) | −17.0251 | − | 29.4883i | −0.694467 | − | 1.20285i | −0.970360 | − | 0.241664i | \(-0.922307\pi\) |
0.275893 | − | 0.961188i | \(-0.411026\pi\) | |||||||
\(602\) | −0.804764 | + | 1.39389i | −0.0327997 | + | 0.0568108i | ||||
\(603\) | 14.6123 | − | 5.76195i | 0.595060 | − | 0.234645i | ||||
\(604\) | −5.13657 | − | 19.1700i | −0.209004 | − | 0.780014i | ||||
\(605\) | 9.93946 | + | 37.0946i | 0.404097 | + | 1.50811i | ||||
\(606\) | 16.3280 | − | 10.7092i | 0.663279 | − | 0.435033i | ||||
\(607\) | 17.2735 | − | 29.9185i | 0.701108 | − | 1.21435i | −0.266970 | − | 0.963705i | \(-0.586022\pi\) |
0.968078 | − | 0.250650i | \(-0.0806442\pi\) | |||||||
\(608\) | −0.0810817 | − | 0.140438i | −0.00328830 | − | 0.00569550i | ||||
\(609\) | −6.18010 | + | 12.2665i | −0.250430 | + | 0.497064i | ||||
\(610\) | − | 12.4920i | − | 0.505787i | ||||||
\(611\) | −0.908472 | − | 8.69179i | −0.0367528 | − | 0.351632i | ||||
\(612\) | 8.02298 | − | 18.4695i | 0.324310 | − | 0.746586i | ||||
\(613\) | −25.0018 | − | 6.69922i | −1.00981 | − | 0.270579i | −0.284263 | − | 0.958746i | \(-0.591749\pi\) |
−0.725552 | + | 0.688167i | \(0.758415\pi\) | |||||||
\(614\) | −10.2228 | + | 5.90212i | −0.412557 | + | 0.238190i | ||||
\(615\) | 4.64628 | − | 5.20758i | 0.187356 | − | 0.209990i | ||||
\(616\) | −4.34837 | + | 4.34837i | −0.175201 | + | 0.175201i | ||||
\(617\) | 4.60799 | − | 1.23471i | 0.185511 | − | 0.0497074i | −0.164868 | − | 0.986316i | \(-0.552720\pi\) |
0.350378 | + | 0.936608i | \(0.386053\pi\) | |||||||
\(618\) | −11.0044 | + | 0.626834i | −0.442660 | + | 0.0252149i | ||||
\(619\) | −26.5606 | − | 26.5606i | −1.06756 | − | 1.06756i | −0.997546 | − | 0.0700151i | \(-0.977695\pi\) |
−0.0700151 | − | 0.997546i | \(-0.522305\pi\) | |||||||
\(620\) | −4.00128 | − | 2.31014i | −0.160695 | − | 0.0927775i | ||||
\(621\) | 16.1368 | + | 1.47410i | 0.647549 | + | 0.0591535i | ||||
\(622\) | −6.74743 | + | 25.1817i | −0.270547 | + | 1.00970i | ||||
\(623\) | −10.6310 | −0.425923 | ||||||||
\(624\) | 6.16419 | − | 1.00137i | 0.246765 | − | 0.0400870i | ||||
\(625\) | 1.55617 | 0.0622466 | ||||||||
\(626\) | −0.912608 | + | 3.40590i | −0.0364751 | + | 0.136127i | ||||
\(627\) | −0.541203 | − | 1.64027i | −0.0216136 | − | 0.0655061i | ||||
\(628\) | −9.63199 | − | 5.56103i | −0.384358 | − | 0.221909i | ||||
\(629\) | −25.6182 | − | 25.6182i | −1.02146 | − | 1.02146i | ||||
\(630\) | 0.633506 | − | 4.24921i | 0.0252395 | − | 0.169293i | ||||
\(631\) | 13.2623 | − | 3.55363i | 0.527964 | − | 0.141468i | 0.0150163 | − | 0.999887i | \(-0.495220\pi\) |
0.512948 | + | 0.858420i | \(0.328553\pi\) | |||||||
\(632\) | 3.57170 | − | 3.57170i | 0.142075 | − | 0.142075i | ||||
\(633\) | −18.1040 | − | 16.1526i | −0.719568 | − | 0.642009i | ||||
\(634\) | 5.06235 | − | 2.92275i | 0.201052 | − | 0.116077i | ||||
\(635\) | −8.52963 | − | 2.28551i | −0.338488 | − | 0.0906976i | ||||
\(636\) | −2.86441 | + | 13.7835i | −0.113581 | + | 0.546550i | ||||
\(637\) | −0.566088 | + | 3.56083i | −0.0224292 | + | 0.141085i | ||||
\(638\) | − | 48.7666i | − | 1.93069i | ||||||
\(639\) | −19.2081 | + | 24.1655i | −0.759860 | + | 0.955972i | ||||
\(640\) | 0.716030 | + | 1.24020i | 0.0283036 | + | 0.0490232i | ||||
\(641\) | −18.4787 | + | 32.0060i | −0.729863 | + | 1.26416i | 0.227077 | + | 0.973877i | \(0.427083\pi\) |
−0.956941 | + | 0.290284i | \(0.906250\pi\) | |||||||
\(642\) | −14.6831 | − | 22.3868i | −0.579497 | − | 0.883538i | ||||
\(643\) | −6.19110 | − | 23.1055i | −0.244153 | − | 0.911192i | −0.973807 | − | 0.227376i | \(-0.926986\pi\) |
0.729654 | − | 0.683817i | \(-0.239681\pi\) | |||||||
\(644\) | −0.807119 | − | 3.01221i | −0.0318049 | − | 0.118698i | ||||
\(645\) | 2.18953 | + | 3.33829i | 0.0862126 | + | 0.131445i | ||||
\(646\) | 0.544242 | − | 0.942655i | 0.0214129 | − | 0.0370883i | ||||
\(647\) | −23.0389 | − | 39.9046i | −0.905753 | − | 1.56881i | −0.819903 | − | 0.572502i | \(-0.805973\pi\) |
−0.0858500 | − | 0.996308i | \(-0.527361\pi\) | |||||||
\(648\) | −4.23089 | − | 7.94352i | −0.166205 | − | 0.312051i | ||||
\(649\) | − | 42.5025i | − | 1.66837i | ||||||
\(650\) | −8.60630 | + | 6.24525i | −0.337567 | + | 0.244959i | ||||
\(651\) | 1.13701 | − | 5.47126i | 0.0445629 | − | 0.214435i | ||||
\(652\) | −12.2065 | − | 3.27073i | −0.478045 | − | 0.128092i | ||||
\(653\) | 10.9970 | − | 6.34912i | 0.430346 | − | 0.248460i | −0.269148 | − | 0.963099i | \(-0.586742\pi\) |
0.699494 | + | 0.714638i | \(0.253409\pi\) | |||||||
\(654\) | −19.9853 | − | 17.8312i | −0.781488 | − | 0.697255i | ||||
\(655\) | −4.65839 | + | 4.65839i | −0.182018 | + | 0.182018i | ||||
\(656\) | −2.71779 | + | 0.728231i | −0.106112 | + | 0.0284326i | ||||
\(657\) | 10.3565 | + | 1.54404i | 0.404047 | + | 0.0602386i | ||||
\(658\) | 1.71389 | + | 1.71389i | 0.0668142 | + | 0.0668142i | ||||
\(659\) | 0.264972 | + | 0.152982i | 0.0103219 | + | 0.00595932i | 0.505152 | − | 0.863030i | \(-0.331436\pi\) |
−0.494830 | + | 0.868990i | \(0.664770\pi\) | |||||||
\(660\) | 4.77935 | + | 14.4852i | 0.186036 | + | 0.563835i | ||||
\(661\) | −1.17446 | + | 4.38314i | −0.0456812 | + | 0.170484i | −0.984998 | − | 0.172567i | \(-0.944794\pi\) |
0.939317 | + | 0.343051i | \(0.111461\pi\) | |||||||
\(662\) | 4.33607 | 0.168526 | ||||||||
\(663\) | 26.5089 | + | 32.4717i | 1.02952 | + | 1.26110i | ||||
\(664\) | 5.56929 | 0.216131 | ||||||||
\(665\) | 0.0601049 | − | 0.224315i | 0.00233077 | − | 0.00869855i | ||||
\(666\) | −16.0878 | + | 1.83876i | −0.623389 | + | 0.0712505i | ||||
\(667\) | 21.4167 | + | 12.3649i | 0.829258 | + | 0.478772i | ||||
\(668\) | 4.46002 | + | 4.46002i | 0.172563 | + | 0.172563i | ||||
\(669\) | 50.7315 | − | 2.88978i | 1.96139 | − | 0.111725i | ||||
\(670\) | −7.24246 | + | 1.94061i | −0.279801 | + | 0.0749724i | ||||
\(671\) | −37.9313 | + | 37.9313i | −1.46432 | + | 1.46432i | ||||
\(672\) | −1.15311 | + | 1.29241i | −0.0444822 | + | 0.0498560i | ||||
\(673\) | −12.7661 | + | 7.37053i | −0.492098 | + | 0.284113i | −0.725444 | − | 0.688281i | \(-0.758366\pi\) |
0.233346 | + | 0.972394i | \(0.425032\pi\) | |||||||
\(674\) | −27.2280 | − | 7.29571i | −1.04878 | − | 0.281020i | ||||
\(675\) | 12.5193 | + | 8.83780i | 0.481870 | + | 0.340167i | ||||
\(676\) | −4.03149 | + | 12.3591i | −0.155057 | + | 0.475350i | ||||
\(677\) | − | 11.4682i | − | 0.440758i | −0.975414 | − | 0.220379i | \(-0.929271\pi\) | ||
0.975414 | − | 0.220379i | \(-0.0707295\pi\) | |||||||
\(678\) | −9.48676 | + | 18.8297i | −0.364337 | + | 0.723150i | ||||
\(679\) | 2.03829 | + | 3.53043i | 0.0782226 | + | 0.135485i | ||||
\(680\) | −4.80619 | + | 8.32456i | −0.184309 | + | 0.319232i | ||||
\(681\) | −16.4830 | + | 10.8109i | −0.631632 | + | 0.414276i | ||||
\(682\) | 5.13506 | + | 19.1643i | 0.196632 | + | 0.733839i | ||||
\(683\) | 6.90186 | + | 25.7581i | 0.264093 | + | 0.985607i | 0.962803 | + | 0.270203i | \(0.0870907\pi\) |
−0.698711 | + | 0.715404i | \(0.746243\pi\) | |||||||
\(684\) | −0.178460 | − | 0.452575i | −0.00682359 | − | 0.0173047i | ||||
\(685\) | −8.63455 | + | 14.9555i | −0.329909 | + | 0.571419i | ||||
\(686\) | −0.500000 | − | 0.866025i | −0.0190901 | − | 0.0330650i | ||||
\(687\) | −14.8765 | − | 7.49508i | −0.567576 | − | 0.285955i | ||||
\(688\) | − | 1.60953i | − | 0.0613627i | ||||||
\(689\) | −22.7641 | − | 18.4558i | −0.867243 | − | 0.703109i | ||||
\(690\) | −7.57324 | − | 1.57383i | −0.288308 | − | 0.0599148i | ||||
\(691\) | −5.77582 | − | 1.54763i | −0.219723 | − | 0.0588745i | 0.147278 | − | 0.989095i | \(-0.452949\pi\) |
−0.367001 | + | 0.930221i | \(0.619615\pi\) | |||||||
\(692\) | 1.82519 | − | 1.05378i | 0.0693834 | − | 0.0400585i | ||||
\(693\) | −14.8261 | + | 10.9789i | −0.563198 | + | 0.417054i | ||||
\(694\) | −3.66066 | + | 3.66066i | −0.138957 | + | 0.138957i | ||||
\(695\) | −10.8131 | + | 2.89737i | −0.410165 | + | 0.109903i | ||||
\(696\) | −0.781134 | − | 13.7132i | −0.0296088 | − | 0.519796i | ||||
\(697\) | −13.3545 | − | 13.3545i | −0.505837 | − | 0.505837i | ||||
\(698\) | −8.65553 | − | 4.99727i | −0.327617 | − | 0.189150i | ||||
\(699\) | 5.44379 | − | 1.79616i | 0.205903 | − | 0.0679372i | ||||
\(700\) | 0.763310 | − | 2.84871i | 0.0288504 | − | 0.107671i | ||||
\(701\) | −23.1781 | −0.875426 | −0.437713 | − | 0.899115i | \(-0.644211\pi\) | ||||
−0.437713 | + | 0.899115i | \(0.644211\pi\) | |||||||
\(702\) | 18.7334 | − | 0.244402i | 0.707047 | − | 0.00922437i | ||||
\(703\) | −0.875278 | −0.0330117 | ||||||||
\(704\) | 1.59162 | − | 5.93999i | 0.0599863 | − | 0.223872i | ||||
\(705\) | 5.70925 | − | 1.88375i | 0.215023 | − | 0.0709462i | ||||
\(706\) | −26.0270 | − | 15.0267i | −0.979541 | − | 0.565538i | ||||
\(707\) | −7.97173 | − | 7.97173i | −0.299808 | − | 0.299808i | ||||
\(708\) | −0.680797 | − | 11.9517i | −0.0255859 | − | 0.449173i | ||||
\(709\) | −1.41382 | + | 0.378832i | −0.0530972 | + | 0.0142273i | −0.285270 | − | 0.958447i | \(-0.592083\pi\) |
0.232173 | + | 0.972675i | \(0.425417\pi\) | |||||||
\(710\) | 10.4197 | − | 10.4197i | 0.391043 | − | 0.391043i | ||||
\(711\) | 12.1780 | − | 9.01794i | 0.456710 | − | 0.338199i | ||||
\(712\) | 9.20673 | − | 5.31551i | 0.345037 | − | 0.199207i | ||||
\(713\) | −9.71835 | − | 2.60402i | −0.363955 | − | 0.0975215i | ||||
\(714\) | −11.3828 | − | 2.36552i | −0.425991 | − | 0.0885272i | ||||
\(715\) | −31.3585 | − | 4.98525i | −1.17274 | − | 0.186438i | ||||
\(716\) | 22.8649i | 0.854503i | ||||||||
\(717\) | −26.1922 | − | 13.1961i | −0.978165 | − | 0.492818i | ||||
\(718\) | −3.11045 | − | 5.38745i | −0.116081 | − | 0.201058i | ||||
\(719\) | −6.54962 | + | 11.3443i | −0.244260 | + | 0.423070i | −0.961923 | − | 0.273320i | \(-0.911878\pi\) |
0.717664 | + | 0.696390i | \(0.245212\pi\) | |||||||
\(720\) | 1.57597 | + | 3.99668i | 0.0587331 | + | 0.148948i | ||||
\(721\) | 1.64704 | + | 6.14683i | 0.0613389 | + | 0.228920i | ||||
\(722\) | 4.91076 | + | 18.3272i | 0.182759 | + | 0.682067i | ||||
\(723\) | 40.3657 | − | 26.4752i | 1.50122 | − | 0.984622i | ||||
\(724\) | −8.68697 | + | 15.0463i | −0.322849 | + | 0.559190i | ||||
\(725\) | 11.6938 | + | 20.2543i | 0.434297 | + | 0.752224i | ||||
\(726\) | 20.8988 | − | 41.4807i | 0.775626 | − | 1.53949i | ||||
\(727\) | 38.1313i | 1.41421i | 0.707108 | + | 0.707105i | \(0.249999\pi\) | ||||
−0.707108 | + | 0.707105i | \(0.750001\pi\) | |||||||
\(728\) | −1.29017 | − | 3.36682i | −0.0478169 | − | 0.124783i | ||||
\(729\) | −9.03990 | − | 25.4417i | −0.334811 | − | 0.942285i | ||||
\(730\) | −4.82806 | − | 1.29367i | −0.178694 | − | 0.0478810i | ||||
\(731\) | 9.35618 | − | 5.40179i | 0.346051 | − | 0.199793i | ||||
\(732\) | −10.0587 | + | 11.2739i | −0.371781 | + | 0.416694i | ||||
\(733\) | 9.76791 | − | 9.76791i | 0.360786 | − | 0.360786i | −0.503316 | − | 0.864102i | \(-0.667887\pi\) |
0.864102 | + | 0.503316i | \(0.167887\pi\) | |||||||
\(734\) | −4.54304 | + | 1.21730i | −0.167687 | + | 0.0449315i | ||||
\(735\) | −2.47639 | + | 0.141061i | −0.0913429 | + | 0.00520310i | ||||
\(736\) | 2.20509 | + | 2.20509i | 0.0812807 | + | 0.0812807i | ||||
\(737\) | 27.8839 | + | 16.0988i | 1.02712 | + | 0.593006i | ||||
\(738\) | −8.38640 | + | 0.958528i | −0.308708 | + | 0.0352839i | ||||
\(739\) | −1.19404 | + | 4.45623i | −0.0439236 | + | 0.163925i | −0.984404 | − | 0.175923i | \(-0.943709\pi\) |
0.940480 | + | 0.339848i | \(0.110376\pi\) | |||||||
\(740\) | 7.72956 | 0.284144 | ||||||||
\(741\) | 1.00757 | + | 0.101864i | 0.0370141 | + | 0.00374207i | ||||
\(742\) | 8.12791 | 0.298385 | ||||||||
\(743\) | 1.49496 | − | 5.57927i | 0.0548448 | − | 0.204683i | −0.933066 | − | 0.359704i | \(-0.882878\pi\) |
0.987911 | + | 0.155021i | \(0.0495444\pi\) | |||||||
\(744\) | 1.75095 | + | 5.30675i | 0.0641929 | + | 0.194555i | ||||
\(745\) | −18.7786 | − | 10.8418i | −0.687994 | − | 0.397213i | ||||
\(746\) | 7.48941 | + | 7.48941i | 0.274207 | + | 0.274207i | ||||
\(747\) | 16.5252 | + | 2.46371i | 0.604627 | + | 0.0901425i | ||||
\(748\) | 39.8708 | − | 10.6834i | 1.45782 | − | 0.390622i | ||||
\(749\) | −10.9298 | + | 10.9298i | −0.399367 | + | 0.399367i | ||||
\(750\) | −14.7125 | − | 13.1267i | −0.537225 | − | 0.479320i | ||||
\(751\) | −38.9228 | + | 22.4721i | −1.42031 | + | 0.820018i | −0.996325 | − | 0.0856499i | \(-0.972703\pi\) |
−0.423988 | + | 0.905668i | \(0.639370\pi\) | |||||||
\(752\) | −2.34121 | − | 0.627326i | −0.0853752 | − | 0.0228762i | ||||
\(753\) | −8.18384 | + | 39.3804i | −0.298236 | + | 1.43510i | ||||
\(754\) | 26.1138 | + | 11.6447i | 0.951010 | + | 0.424075i | ||||
\(755\) | 28.4209i | 1.03434i | ||||||||
\(756\) | −3.99325 | + | 3.32475i | −0.145233 | + | 0.120920i | ||||
\(757\) | 21.2721 | + | 36.8443i | 0.773147 | + | 1.33913i | 0.935830 | + | 0.352451i | \(0.114652\pi\) |
−0.162683 | + | 0.986678i | \(0.552015\pi\) | |||||||
\(758\) | 11.1555 | − | 19.3219i | 0.405185 | − | 0.701802i | ||||
\(759\) | 18.2169 | + | 27.7746i | 0.661231 | + | 1.00815i | ||||
\(760\) | 0.0601049 | + | 0.224315i | 0.00218023 | + | 0.00813675i | ||||
\(761\) | −10.7212 | − | 40.0122i | −0.388644 | − | 1.45044i | −0.832341 | − | 0.554264i | \(-0.813000\pi\) |
0.443697 | − | 0.896177i | \(-0.353667\pi\) | |||||||
\(762\) | 5.85755 | + | 8.93080i | 0.212197 | + | 0.323529i | ||||
\(763\) | −7.73178 | + | 13.3918i | −0.279909 | + | 0.484817i | ||||
\(764\) | −7.09748 | − | 12.2932i | −0.256778 | − | 0.444752i | ||||
\(765\) | −17.9435 | + | 22.5745i | −0.648749 | + | 0.816184i | ||||
\(766\) | − | 14.9128i | − | 0.538822i | ||||||
\(767\) | 22.7595 | + | 10.1489i | 0.821799 | + | 0.366457i | ||||
\(768\) | 0.352417 | − | 1.69582i | 0.0127167 | − | 0.0611926i | ||||
\(769\) | 47.3522 | + | 12.6880i | 1.70756 | + | 0.457540i | 0.974825 | − | 0.222971i | \(-0.0715755\pi\) |
0.732738 | + | 0.680511i | \(0.238242\pi\) | |||||||
\(770\) | 7.62665 | − | 4.40325i | 0.274845 | − | 0.158682i | ||||
\(771\) | 28.0923 | + | 25.0644i | 1.01172 | + | 0.902672i | ||||
\(772\) | −13.5354 | + | 13.5354i | −0.487148 | + | 0.487148i | ||||
\(773\) | 11.6101 | − | 3.11093i | 0.417588 | − | 0.111892i | −0.0439062 | − | 0.999036i | \(-0.513980\pi\) |
0.461494 | + | 0.887143i | \(0.347314\pi\) | |||||||
\(774\) | 0.712014 | − | 4.77580i | 0.0255928 | − | 0.171663i | ||||
\(775\) | −6.72818 | − | 6.72818i | −0.241683 | − | 0.241683i | ||||
\(776\) | −3.53043 | − | 2.03829i | −0.126735 | − | 0.0731705i | ||||
\(777\) | 2.92927 | + | 8.87799i | 0.105087 | + | 0.318496i | ||||
\(778\) | 3.78874 | − | 14.1398i | 0.135833 | − | 0.506936i | ||||
\(779\) | −0.456274 | −0.0163477 | ||||||||
\(780\) | −8.89785 | − | 0.899558i | −0.318594 | − | 0.0322094i | ||||
\(781\) | −63.2775 | −2.26425 | ||||||||
\(782\) | −5.41760 | + | 20.2188i | −0.193733 | + | 0.723022i | ||||
\(783\) | 3.74857 | − | 41.0353i | 0.133963 | − | 1.46648i | ||||
\(784\) | 0.866025 | + | 0.500000i | 0.0309295 | + | 0.0178571i | ||||
\(785\) | 11.2624 | + | 11.2624i | 0.401973 | + | 0.401973i | ||||
\(786\) | 7.95513 | − | 0.453142i | 0.283750 | − | 0.0161631i | ||||
\(787\) | −32.8961 | + | 8.81448i | −1.17262 | + | 0.314202i | −0.791995 | − | 0.610528i | \(-0.790957\pi\) |
−0.380624 | + | 0.924730i | \(0.624291\pi\) | |||||||
\(788\) | −16.5692 | + | 16.5692i | −0.590253 | + | 0.590253i | ||||
\(789\) | −8.39431 | + | 9.40839i | −0.298845 | + | 0.334948i | ||||
\(790\) | −6.26443 | + | 3.61677i | −0.222878 | + | 0.128679i | ||||
\(791\) | 11.7584 | + | 3.15064i | 0.418079 | + | 0.112024i | ||||
\(792\) | 7.35035 | − | 16.9211i | 0.261183 | − | 0.601264i | ||||
\(793\) | −11.2543 | − | 29.3691i | −0.399652 | − | 1.04293i | ||||
\(794\) | 22.8218i | 0.809914i | ||||||||
\(795\) | 9.07100 | − | 18.0045i | 0.321715 | − | 0.638554i | ||||
\(796\) | 3.52247 | + | 6.10110i | 0.124851 | + | 0.216248i | ||||
\(797\) | −18.1684 | + | 31.4686i | −0.643557 | + | 1.11467i | 0.341076 | + | 0.940036i | \(0.389209\pi\) |
−0.984633 | + | 0.174638i | \(0.944125\pi\) | |||||||
\(798\) | −0.234865 | + | 0.154044i | −0.00831412 | + | 0.00545309i | ||||
\(799\) | −4.21078 | − | 15.7148i | −0.148967 | − | 0.555951i | ||||
\(800\) | 0.763310 | + | 2.84871i | 0.0269871 | + | 0.100717i | ||||
\(801\) | 29.6697 | − | 11.6994i | 1.04833 | − | 0.413377i | ||||
\(802\) | −9.99682 | + | 17.3150i | −0.353000 | + | 0.611414i | ||||
\(803\) | 10.7320 | + | 18.5883i | 0.378723 | + | 0.655967i | ||||
\(804\) | 8.09883 | + | 4.08034i | 0.285624 | + | 0.143903i | ||||
\(805\) | 4.46583i | 0.157400i | ||||||||
\(806\) | −11.4884 | − | 1.82638i | −0.404661 | − | 0.0643315i | ||||
\(807\) | −31.6584 | − | 6.57909i | −1.11443 | − | 0.231595i | ||||
\(808\) | 10.8896 | + | 2.91786i | 0.383094 | + | 0.102650i | ||||
\(809\) | −11.1337 | + | 6.42803i | −0.391439 | + | 0.225998i | −0.682784 | − | 0.730621i | \(-0.739231\pi\) |
0.291344 | + | 0.956618i | \(0.405897\pi\) | |||||||
\(810\) | 2.90821 | + | 12.5561i | 0.102184 | + | 0.441178i | ||||
\(811\) | 17.4981 | − | 17.4981i | 0.614440 | − | 0.614440i | −0.329660 | − | 0.944100i | \(-0.606934\pi\) |
0.944100 | + | 0.329660i | \(0.106934\pi\) | |||||||
\(812\) | −7.65992 | + | 2.05247i | −0.268811 | + | 0.0720276i | ||||
\(813\) | −1.21639 | − | 21.3543i | −0.0426606 | − | 0.748926i | ||||
\(814\) | −23.4704 | − | 23.4704i | −0.822637 | − | 0.822637i | ||||
\(815\) | 15.6726 | + | 9.04856i | 0.548986 | + | 0.316957i | ||||
\(816\) | 11.0406 | − | 3.64280i | 0.386497 | − | 0.127524i | ||||
\(817\) | 0.0675534 | − | 0.252113i | 0.00236339 | − | 0.00882031i | ||||
\(818\) | 16.8591 | 0.589466 | ||||||||
\(819\) | −2.33881 | − | 10.5608i | −0.0817246 | − | 0.369023i | ||||
\(820\) | 4.02934 | 0.140711 | ||||||||
\(821\) | −10.5371 | + | 39.3250i | −0.367747 | + | 1.37245i | 0.495911 | + | 0.868374i | \(0.334834\pi\) |
−0.863658 | + | 0.504078i | \(0.831832\pi\) | |||||||
\(822\) | 19.8349 | − | 6.54447i | 0.691821 | − | 0.228265i | ||||
\(823\) | −13.8783 | − | 8.01263i | −0.483766 | − | 0.279303i | 0.238218 | − | 0.971212i | \(-0.423437\pi\) |
−0.721985 | + | 0.691909i | \(0.756770\pi\) | |||||||
\(824\) | −4.49979 | − | 4.49979i | −0.156758 | − | 0.156758i | ||||
\(825\) | 1.78645 | + | 31.3620i | 0.0621963 | + | 1.09189i | ||||
\(826\) | −6.67601 | + | 1.78883i | −0.232288 | + | 0.0622414i | ||||
\(827\) | −36.5847 | + | 36.5847i | −1.27217 | + | 1.27217i | −0.327230 | + | 0.944945i | \(0.606115\pi\) |
−0.944945 | + | 0.327230i | \(0.893885\pi\) | |||||||
\(828\) | 5.56748 | + | 7.51843i | 0.193483 | + | 0.261283i | ||||
\(829\) | −40.7093 | + | 23.5035i | −1.41389 | + | 0.816311i | −0.995752 | − | 0.0920709i | \(-0.970651\pi\) |
−0.418140 | + | 0.908382i | \(0.637318\pi\) | |||||||
\(830\) | −7.70380 | − | 2.06423i | −0.267403 | − | 0.0716504i | ||||
\(831\) | −52.9671 | − | 11.0074i | −1.83741 | − | 0.381841i | ||||
\(832\) | 2.80073 | + | 2.27066i | 0.0970978 | + | 0.0787211i | ||||
\(833\) | 6.71227i | 0.232566i | ||||||||
\(834\) | 12.0917 | + | 6.09202i | 0.418701 | + | 0.210949i | ||||
\(835\) | −4.51630 | − | 7.82246i | −0.156293 | − | 0.270708i | ||||
\(836\) | 0.498614 | − | 0.863625i | 0.0172449 | − | 0.0298691i | ||||
\(837\) | 2.84785 | + | 16.5208i | 0.0984363 | + | 0.571042i | ||||
\(838\) | 8.19346 | + | 30.5784i | 0.283038 | + | 1.05631i | ||||
\(839\) | −0.387495 | − | 1.44615i | −0.0133778 | − | 0.0499267i | 0.958914 | − | 0.283696i | \(-0.0915606\pi\) |
−0.972292 | + | 0.233769i | \(0.924894\pi\) | |||||||
\(840\) | 2.07408 | − | 1.36036i | 0.0715627 | − | 0.0469367i | ||||
\(841\) | 16.9435 | − | 29.3471i | 0.584260 | − | 1.01197i | ||||
\(842\) | −7.72230 | − | 13.3754i | −0.266128 | − | 0.460947i | ||||
\(843\) | 10.4941 | − | 20.8292i | 0.361437 | − | 0.717395i | ||||
\(844\) | − | 14.0079i | − | 0.482171i | ||||||
\(845\) | 10.1574 | − | 15.6016i | 0.349427 | − | 0.536712i | ||||
\(846\) | −6.66934 | − | 2.89709i | −0.229297 | − | 0.0996042i | ||||
\(847\) | −25.9030 | − | 6.94068i | −0.890036 | − | 0.238484i | ||||
\(848\) | −7.03898 | + | 4.06396i | −0.241720 | + | 0.139557i | ||||
\(849\) | −17.6446 | + | 19.7762i | −0.605562 | + | 0.678717i | ||||
\(850\) | −13.9978 | + | 13.9978i | −0.480120 | + | 0.480120i | ||||
\(851\) | 16.2584 | − | 4.35643i | 0.557332 | − | 0.149337i | ||||
\(852\) | −17.7936 | + | 1.01357i | −0.609599 | + | 0.0347242i | ||||
\(853\) | −23.8323 | − | 23.8323i | −0.816004 | − | 0.816004i | 0.169522 | − | 0.985526i | \(-0.445777\pi\) |
−0.985526 | + | 0.169522i | \(0.945777\pi\) | |||||||
\(854\) | 7.55443 | + | 4.36155i | 0.258507 | + | 0.149249i | ||||
\(855\) | 0.0791126 | + | 0.692176i | 0.00270559 | + | 0.0236719i | ||||
\(856\) | 4.00059 | − | 14.9304i | 0.136737 | − | 0.510311i | ||||
\(857\) | 18.8568 | 0.644134 | 0.322067 | − | 0.946717i | \(-0.395622\pi\) | ||||
0.322067 | + | 0.946717i | \(0.395622\pi\) | |||||||
\(858\) | 24.2864 | + | 29.7493i | 0.829124 | + | 1.01563i | ||||
\(859\) | 31.6606 | 1.08025 | 0.540123 | − | 0.841586i | \(-0.318378\pi\) | ||||
0.540123 | + | 0.841586i | \(0.318378\pi\) | |||||||
\(860\) | −0.596562 | + | 2.22640i | −0.0203426 | + | 0.0759196i | ||||
\(861\) | 1.52700 | + | 4.62801i | 0.0520400 | + | 0.157722i | ||||
\(862\) | 16.1560 | + | 9.32765i | 0.550274 | + | 0.317701i | ||||
\(863\) | −17.6792 | − | 17.6792i | −0.601806 | − | 0.601806i | 0.338986 | − | 0.940791i | \(-0.389916\pi\) |
−0.940791 | + | 0.338986i | \(0.889916\pi\) | |||||||
\(864\) | 1.79588 | − | 4.87594i | 0.0610971 | − | 0.165883i | ||||
\(865\) | −2.91530 | + | 0.781152i | −0.0991232 | + | 0.0265600i | ||||
\(866\) | −14.7481 | + | 14.7481i | −0.501161 | + | 0.501161i | ||||
\(867\) | 36.2582 | + | 32.3501i | 1.23139 | + | 1.09867i | ||||
\(868\) | 2.79408 | − | 1.61316i | 0.0948371 | − | 0.0547542i | ||||
\(869\) | 30.0038 | + | 8.03948i | 1.01781 | + | 0.272721i | ||||
\(870\) | −4.00219 | + | 19.2584i | −0.135687 | + | 0.652923i | ||||
\(871\) | −15.2789 | + | 11.0873i | −0.517706 | + | 0.375679i | ||||
\(872\) | − | 15.4636i | − | 0.523662i | ||||||
\(873\) | −9.57382 | − | 7.60981i | −0.324025 | − | 0.257553i | ||||
\(874\) | 0.252851 | + | 0.437950i | 0.00855280 | + | 0.0148139i | ||||
\(875\) | −5.69187 | + | 9.85860i | −0.192420 | + | 0.333282i | ||||
\(876\) | 3.31557 | + | 5.05513i | 0.112023 | + | 0.170797i | ||||
\(877\) | −8.52826 | − | 31.8279i | −0.287979 | − | 1.07475i | −0.946635 | − | 0.322308i | \(-0.895541\pi\) |
0.658656 | − | 0.752444i | \(-0.271125\pi\) | |||||||
\(878\) | 10.3965 | + | 38.8001i | 0.350864 | + | 1.30944i | ||||
\(879\) | 7.91004 | + | 12.0601i | 0.266799 | + | 0.406778i | ||||
\(880\) | −4.40325 | + | 7.62665i | −0.148433 | + | 0.257094i | ||||
\(881\) | 7.26029 | + | 12.5752i | 0.244605 | + | 0.423669i | 0.962021 | − | 0.272977i | \(-0.0880082\pi\) |
−0.717415 | + | 0.696646i | \(0.754675\pi\) | |||||||
\(882\) | 2.34849 | + | 1.86671i | 0.0790777 | + | 0.0628554i | ||||
\(883\) | − | 20.5426i | − | 0.691314i | −0.938361 | − | 0.345657i | \(-0.887656\pi\) | ||
0.938361 | − | 0.345657i | \(-0.112344\pi\) | |||||||
\(884\) | −3.79974 | + | 23.9013i | −0.127799 | + | 0.803888i | ||||
\(885\) | −3.48811 | + | 16.7847i | −0.117252 | + | 0.564212i | ||||
\(886\) | −21.2552 | − | 5.69530i | −0.714081 | − | 0.191337i | ||||
\(887\) | 5.19173 | − | 2.99745i | 0.174321 | − | 0.100644i | −0.410301 | − | 0.911950i | \(-0.634576\pi\) |
0.584622 | + | 0.811306i | \(0.301243\pi\) | |||||||
\(888\) | −6.97582 | − | 6.22393i | −0.234093 | − | 0.208861i | ||||
\(889\) | 4.36024 | − | 4.36024i | 0.146238 | − | 0.146238i | ||||
\(890\) | −14.7055 | + | 3.94032i | −0.492929 | + | 0.132080i | ||||
\(891\) | 29.2954 | − | 46.9567i | 0.981434 | − | 1.57311i | ||||
\(892\) | 20.7446 | + | 20.7446i | 0.694582 | + | 0.694582i | ||||
\(893\) | −0.340393 | − | 0.196526i | −0.0113908 | − | 0.00657648i | ||||
\(894\) | 8.21745 | + | 24.9053i | 0.274833 | + | 0.832958i | ||||
\(895\) | 8.47476 | − | 31.6282i | 0.283280 | − | 1.05722i | ||||
\(896\) | −1.00000 | −0.0334077 | ||||||||
\(897\) | −19.2228 | + | 3.12275i | −0.641832 | + | 0.104266i | ||||
\(898\) | −32.1060 | −1.07139 | ||||||||
\(899\) | −6.62193 | + | 24.7134i | −0.220854 | + | 0.824237i | ||||
\(900\) | 1.00470 | + | 8.79038i | 0.0334900 | + | 0.293013i | ||||
\(901\) | −47.2476 | − | 27.2784i | −1.57404 | − | 0.908775i | ||||
\(902\) | −12.2349 | − | 12.2349i | −0.407377 | − | 0.407377i | ||||
\(903\) | −2.78327 | + | 0.158542i | −0.0926215 | + | 0.00527593i | ||||
\(904\) | −11.7584 | + | 3.15064i | −0.391077 | + | 0.104789i | ||||
\(905\) | 17.5932 | − | 17.5932i | 0.584817 | − | 0.584817i | ||||
\(906\) | 22.8849 | − | 25.6495i | 0.760299 | − | 0.852148i | ||||
\(907\) | −15.4295 | + | 8.90824i | −0.512329 | + | 0.295793i | −0.733790 | − | 0.679376i | \(-0.762251\pi\) |
0.221462 | + | 0.975169i | \(0.428917\pi\) | |||||||
\(908\) | −10.9930 | − | 2.94557i | −0.364816 | − | 0.0977520i | ||||
\(909\) | 31.0209 | + | 13.4751i | 1.02890 | + | 0.446943i | ||||
\(910\) | 0.536755 | + | 5.13539i | 0.0177932 | + | 0.170237i | ||||
\(911\) | 23.9497i | 0.793490i | 0.917929 | + | 0.396745i | \(0.129860\pi\) | ||||
−0.917929 | + | 0.396745i | \(0.870140\pi\) | |||||||
\(912\) | 0.126377 | − | 0.250838i | 0.00418476 | − | 0.00830608i | ||||
\(913\) | 17.1243 | + | 29.6601i | 0.566731 | + | 0.981606i | ||||
\(914\) | −9.49310 | + | 16.4425i | −0.314004 | + | 0.543871i | ||||
\(915\) | 18.0924 | − | 11.8665i | 0.598118 | − | 0.392295i | ||||
\(916\) | −2.48919 | − | 9.28977i | −0.0822451 | − | 0.306943i | ||||
\(917\) | −1.19066 | − | 4.44359i | −0.0393189 | − | 0.146740i | ||||
\(918\) | 34.3711 | − | 5.92488i | 1.13441 | − | 0.195550i | ||||
\(919\) | −12.9296 | + | 22.3947i | −0.426508 | + | 0.738734i | −0.996560 | − | 0.0828750i | \(-0.973590\pi\) |
0.570052 | + | 0.821609i | \(0.306923\pi\) | |||||||
\(920\) | −2.23292 | − | 3.86752i | −0.0736171 | − | 0.127509i | ||||
\(921\) | −18.2591 | − | 9.19926i | −0.601657 | − | 0.303126i | ||||
\(922\) | 5.81903i | 0.191640i | ||||||||
\(923\) | 15.1097 | − | 33.8842i | 0.497340 | − | 1.11531i | ||||
\(924\) | −10.4285 | − | 2.16720i | −0.343072 | − | 0.0712955i | ||||
\(925\) | 15.3760 | + | 4.11997i | 0.505558 | + | 0.135464i | ||||
\(926\) | −18.0484 | + | 10.4203i | −0.593109 | + | 0.342431i | ||||
\(927\) | −11.3612 | − | 15.3424i | −0.373151 | − | 0.503911i | ||||
\(928\) | 5.60745 | − | 5.60745i | 0.184074 | − | 0.184074i | ||||
\(929\) | 15.5339 | − | 4.16230i | 0.509651 | − | 0.136561i | 0.00517576 | − | 0.999987i | \(-0.498352\pi\) |
0.504476 | + | 0.863426i | \(0.331686\pi\) | |||||||
\(930\) | −0.455107 | − | 7.98961i | −0.0149235 | − | 0.261990i | ||||
\(931\) | 0.114667 | + | 0.114667i | 0.00375805 | + | 0.00375805i | ||||
\(932\) | 2.86623 | + | 1.65482i | 0.0938864 | + | 0.0542053i | ||||
\(933\) | −42.8808 | + | 14.1484i | −1.40386 | + | 0.463199i | ||||
\(934\) | 1.91478 | − | 7.14606i | 0.0626535 | − | 0.233826i | ||||
\(935\) | −59.1116 | −1.93316 | ||||||||
\(936\) | 7.30585 | + | 7.97650i | 0.238799 | + | 0.260720i | ||||
\(937\) | 10.6690 | 0.348541 | 0.174271 | − | 0.984698i | \(-0.444243\pi\) | ||||
0.174271 | + | 0.984698i | \(0.444243\pi\) | |||||||
\(938\) | 1.35512 | − | 5.05737i | 0.0442462 | − | 0.165129i | ||||
\(939\) | −5.79975 | + | 1.91361i | −0.189268 | + | 0.0624484i | ||||
\(940\) | 3.00600 | + | 1.73551i | 0.0980448 | + | 0.0566062i | ||||
\(941\) | −22.8371 | − | 22.8371i | −0.744469 | − | 0.744469i | 0.228966 | − | 0.973435i | \(-0.426466\pi\) |
−0.973435 | + | 0.228966i | \(0.926466\pi\) | |||||||
\(942\) | −1.09554 | − | 19.2328i | −0.0356948 | − | 0.626639i | ||||
\(943\) | 8.47536 | − | 2.27096i | 0.275996 | − | 0.0739528i | ||||
\(944\) | 4.88718 | − | 4.88718i | 0.159064 | − | 0.159064i | ||||
\(945\) | 6.75601 | − | 3.11893i | 0.219773 | − | 0.101459i | ||||
\(946\) | 8.57178 | − | 4.94892i | 0.278693 | − | 0.160903i | ||||
\(947\) | −6.01194 | − | 1.61090i | −0.195362 | − | 0.0523471i | 0.159811 | − | 0.987148i | \(-0.448911\pi\) |
−0.355173 | + | 0.934801i | \(0.615578\pi\) | |||||||
\(948\) | 8.56583 | + | 1.78011i | 0.278205 | + | 0.0578152i | ||||
\(949\) | −12.5164 | + | 1.30822i | −0.406300 | + | 0.0424668i | ||||
\(950\) | 0.478253i | 0.0155166i | ||||||||
\(951\) | 9.04195 | + | 4.55550i | 0.293205 | + | 0.147722i | ||||
\(952\) | −3.35614 | − | 5.81300i | −0.108773 | − | 0.188400i | ||||
\(953\) | 13.2498 | − | 22.9493i | 0.429203 | − | 0.743401i | −0.567600 | − | 0.823305i | \(-0.692128\pi\) |
0.996803 | + | 0.0799036i | \(0.0254612\pi\) | |||||||
\(954\) | −22.6839 | + | 8.94473i | −0.734418 | + | 0.289596i | ||||
\(955\) | 5.26128 | + | 19.6354i | 0.170251 | + | 0.635386i | ||||
\(956\) | −4.38255 | − | 16.3559i | −0.141742 | − | 0.528988i | ||||
\(957\) | 70.6297 | − | 46.3248i | 2.28313 | − | 1.49747i | ||||
\(958\) | 19.3915 | − | 33.5870i | 0.626509 | − | 1.08515i | ||||
\(959\) | −6.02946 | − | 10.4433i | −0.194701 | − | 0.337233i | ||||
\(960\) | −1.11603 | + | 2.21514i | −0.0360197 | + | 0.0714934i | ||||
\(961\) | 20.5909i | 0.664221i | ||||||||
\(962\) | 18.1724 | − | 6.96371i | 0.585903 | − | 0.224519i | ||||
\(963\) | 18.4754 | − | 42.5318i | 0.595361 | − | 1.37057i | ||||
\(964\) | 26.9210 | + | 7.21346i | 0.867067 | + | 0.232330i | ||||
\(965\) | 23.7398 | − | 13.7062i | 0.764210 | − | 0.441217i | ||||
\(966\) | 3.59594 | − | 4.03035i | 0.115698 | − | 0.129674i | ||||
\(967\) | 6.87652 | − | 6.87652i | 0.221134 | − | 0.221134i | −0.587842 | − | 0.808976i | \(-0.700022\pi\) |
0.808976 | + | 0.587842i | \(0.200022\pi\) | |||||||
\(968\) | 25.9030 | − | 6.94068i | 0.832553 | − | 0.223082i | ||||
\(969\) | 1.88226 | − | 0.107218i | 0.0604669 | − | 0.00344433i | ||||
\(970\) | 4.12803 | + | 4.12803i | 0.132543 | + | 0.132543i | ||||
\(971\) | 9.08309 | + | 5.24412i | 0.291490 | + | 0.168292i | 0.638614 | − | 0.769527i | \(-0.279508\pi\) |
−0.347124 | + | 0.937819i | \(0.612842\pi\) | |||||||
\(972\) | 7.48573 | − | 13.6735i | 0.240105 | − | 0.438577i | ||||
\(973\) | 2.02322 | − | 7.55074i | 0.0648613 | − | 0.242066i | ||||
\(974\) | −2.59520 | −0.0831557 | ||||||||
\(975\) | −17.2205 | − | 6.53214i | −0.551498 | − | 0.209196i | ||||
\(976\) | −8.72310 | −0.279220 | ||||||||
\(977\) | 0.208291 | − | 0.777353i | 0.00666383 | − | 0.0248697i | −0.962514 | − | 0.271232i | \(-0.912569\pi\) |
0.969178 | + | 0.246363i | \(0.0792354\pi\) | |||||||
\(978\) | −6.85827 | − | 20.7859i | −0.219303 | − | 0.664661i | ||||
\(979\) | 56.6170 | + | 32.6879i | 1.80949 | + | 1.04471i | ||||
\(980\) | −1.01262 | − | 1.01262i | −0.0323469 | − | 0.0323469i | ||||
\(981\) | 6.84068 | − | 45.8836i | 0.218406 | − | 1.46495i | ||||
\(982\) | 12.5528 | − | 3.36351i | 0.400575 | − | 0.107334i | ||||
\(983\) | −40.7061 | + | 40.7061i | −1.29832 | + | 1.29832i | −0.368821 | + | 0.929500i | \(0.620238\pi\) |
−0.929500 | + | 0.368821i | \(0.879762\pi\) | |||||||
\(984\) | −3.63642 | − | 3.24447i | −0.115925 | − | 0.103430i | ||||
\(985\) | 29.0609 | − | 16.7783i | 0.925956 | − | 0.534601i | ||||
\(986\) | 51.4155 | + | 13.7767i | 1.63740 | + | 0.438741i | ||||
\(987\) | −0.854187 | + | 4.11033i | −0.0271891 | + | 0.130833i | ||||
\(988\) | 0.343398 | + | 0.473221i | 0.0109249 | + | 0.0150552i | ||||
\(989\) | 5.01926i | 0.159603i | ||||||||
\(990\) | −16.4392 | + | 20.6819i | −0.522471 | + | 0.657315i | ||||
\(991\) | −2.48775 | − | 4.30891i | −0.0790261 | − | 0.136877i | 0.823804 | − | 0.566875i | \(-0.191848\pi\) |
−0.902830 | + | 0.429998i | \(0.858514\pi\) | |||||||
\(992\) | −1.61316 | + | 2.79408i | −0.0512179 | + | 0.0887120i | ||||
\(993\) | 4.11896 | + | 6.28002i | 0.130711 | + | 0.199290i | ||||
\(994\) | 2.66320 | + | 9.93919i | 0.0844715 | + | 0.315252i | ||||
\(995\) | −2.61117 | − | 9.74501i | −0.0827796 | − | 0.308938i | ||||
\(996\) | 5.29043 | + | 8.06613i | 0.167634 | + | 0.255585i | ||||
\(997\) | −7.11658 | + | 12.3263i | −0.225384 | + | 0.390377i | −0.956435 | − | 0.291946i | \(-0.905697\pi\) |
0.731050 | + | 0.682324i | \(0.239030\pi\) | |||||||
\(998\) | 2.37826 | + | 4.11927i | 0.0752825 | + | 0.130393i | ||||
\(999\) | −17.9454 | − | 21.5536i | −0.567766 | − | 0.681926i |
(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 | 546.2.bu.b.197.1 | yes | 56 | |
3.2 | odd | 2 | 546.2.bu.a.197.13 | ✓ | 56 | ||
13.7 | odd | 12 | 546.2.bu.a.449.13 | yes | 56 | ||
39.20 | even | 12 | inner | 546.2.bu.b.449.1 | yes | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.bu.a.197.13 | ✓ | 56 | 3.2 | odd | 2 | ||
546.2.bu.a.449.13 | yes | 56 | 13.7 | odd | 12 | ||
546.2.bu.b.197.1 | yes | 56 | 1.1 | even | 1 | trivial | |
546.2.bu.b.449.1 | yes | 56 | 39.20 | even | 12 | inner |