Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [637,2,Mod(53,637)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(637, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([10, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("637.53");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 637 = 7^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 637.bl (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.08647060876\) |
Analytic rank: | \(0\) |
Dimension: | \(348\) |
Relative dimension: | \(29\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 53.22 | ||
Character | \(\chi\) | \(=\) | 637.53 |
Dual form | 637.2.bl.b.625.22 |
$q$-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 \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(248\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.46759 | + | 1.00059i | 1.03775 | + | 0.707523i | 0.957259 | − | 0.289232i | \(-0.0934000\pi\) |
0.0804871 | + | 0.996756i | \(0.474352\pi\) | |||||||
\(3\) | −0.670565 | − | 0.622193i | −0.387151 | − | 0.359223i | 0.462454 | − | 0.886643i | \(-0.346969\pi\) |
−0.849605 | + | 0.527420i | \(0.823160\pi\) | |||||||
\(4\) | 0.421973 | + | 1.07517i | 0.210987 | + | 0.537585i | ||||
\(5\) | −3.65935 | + | 1.12876i | −1.63651 | + | 0.504797i | −0.970491 | − | 0.241137i | \(-0.922480\pi\) |
−0.666020 | + | 0.745934i | \(0.732004\pi\) | |||||||
\(6\) | −0.361558 | − | 1.58409i | −0.147605 | − | 0.646701i | ||||
\(7\) | 2.44101 | − | 1.02053i | 0.922615 | − | 0.385723i | ||||
\(8\) | 0.333981 | − | 1.46327i | 0.118080 | − | 0.517343i | ||||
\(9\) | −0.161658 | − | 2.15717i | −0.0538858 | − | 0.719057i | ||||
\(10\) | −6.49987 | − | 2.00494i | −2.05544 | − | 0.634019i | ||||
\(11\) | 0.0318729 | − | 0.425314i | 0.00961003 | − | 0.128237i | −0.990335 | − | 0.138694i | \(-0.955710\pi\) |
0.999945 | + | 0.0104570i | \(0.00332862\pi\) | |||||||
\(12\) | 0.386003 | − | 0.983520i | 0.111430 | − | 0.283918i | ||||
\(13\) | −0.900969 | + | 0.433884i | −0.249884 | + | 0.120338i | ||||
\(14\) | 4.60354 | + | 0.944727i | 1.23035 | + | 0.252489i | ||||
\(15\) | 3.15614 | + | 1.51992i | 0.814911 | + | 0.392441i | ||||
\(16\) | 3.64765 | − | 3.38452i | 0.911911 | − | 0.846130i | ||||
\(17\) | 3.25629 | − | 0.490807i | 0.789766 | − | 0.119038i | 0.258241 | − | 0.966081i | \(-0.416857\pi\) |
0.531525 | + | 0.847042i | \(0.321619\pi\) | |||||||
\(18\) | 1.92119 | − | 3.32760i | 0.452829 | − | 0.784324i | ||||
\(19\) | −3.69716 | − | 6.40367i | −0.848186 | − | 1.46910i | −0.882825 | − | 0.469702i | \(-0.844361\pi\) |
0.0346389 | − | 0.999400i | \(-0.488972\pi\) | |||||||
\(20\) | −2.75776 | − | 3.45812i | −0.616653 | − | 0.773259i | ||||
\(21\) | −2.27182 | − | 0.834450i | −0.495752 | − | 0.182092i | ||||
\(22\) | 0.472341 | − | 0.592297i | 0.100703 | − | 0.126278i | ||||
\(23\) | 2.14315 | + | 0.323027i | 0.446877 | + | 0.0673558i | 0.368626 | − | 0.929578i | \(-0.379828\pi\) |
0.0782509 | + | 0.996934i | \(0.475066\pi\) | |||||||
\(24\) | −1.13439 | + | 0.773415i | −0.231557 | + | 0.157873i | ||||
\(25\) | 7.98555 | − | 5.44446i | 1.59711 | − | 1.08889i | ||||
\(26\) | −1.75640 | − | 0.264734i | −0.344458 | − | 0.0519186i | ||||
\(27\) | −2.94480 | + | 3.69266i | −0.566727 | + | 0.710653i | ||||
\(28\) | 2.12728 | + | 2.19386i | 0.402018 | + | 0.414601i | ||||
\(29\) | −5.11394 | − | 6.41268i | −0.949635 | − | 1.19080i | −0.981529 | − | 0.191313i | \(-0.938725\pi\) |
0.0318941 | − | 0.999491i | \(-0.489846\pi\) | |||||||
\(30\) | 3.11112 | + | 5.38862i | 0.568010 | + | 0.983823i | ||||
\(31\) | 5.20193 | − | 9.01000i | 0.934294 | − | 1.61824i | 0.158406 | − | 0.987374i | \(-0.449365\pi\) |
0.775888 | − | 0.630870i | \(-0.217302\pi\) | |||||||
\(32\) | 5.77151 | − | 0.869915i | 1.02027 | − | 0.153781i | ||||
\(33\) | −0.286000 | + | 0.265369i | −0.0497863 | + | 0.0461949i | ||||
\(34\) | 5.27001 | + | 2.53790i | 0.903799 | + | 0.435247i | ||||
\(35\) | −7.78058 | + | 6.48978i | −1.31516 | + | 1.09697i | ||||
\(36\) | 2.25111 | − | 1.08408i | 0.375185 | − | 0.180679i | ||||
\(37\) | −2.40867 | + | 6.13719i | −0.395983 | + | 1.00895i | 0.584334 | + | 0.811514i | \(0.301356\pi\) |
−0.980316 | + | 0.197434i | \(0.936739\pi\) | |||||||
\(38\) | 0.981508 | − | 13.0973i | 0.159222 | − | 2.12467i | ||||
\(39\) | 0.874118 | + | 0.269630i | 0.139971 | + | 0.0431753i | ||||
\(40\) | 0.429524 | + | 5.73159i | 0.0679136 | + | 0.906244i | ||||
\(41\) | −2.34361 | + | 10.2680i | −0.366011 | + | 1.60360i | 0.371613 | + | 0.928388i | \(0.378805\pi\) |
−0.737624 | + | 0.675211i | \(0.764052\pi\) | |||||||
\(42\) | −2.49917 | − | 3.49779i | −0.385630 | − | 0.539721i | ||||
\(43\) | 0.221121 | + | 0.968795i | 0.0337207 | + | 0.147740i | 0.988986 | − | 0.148011i | \(-0.0472872\pi\) |
−0.955265 | + | 0.295751i | \(0.904430\pi\) | |||||||
\(44\) | 0.470734 | − | 0.145202i | 0.0709659 | − | 0.0218901i | ||||
\(45\) | 3.02649 | + | 7.71137i | 0.451162 | + | 1.14954i | ||||
\(46\) | 2.82205 | + | 2.61848i | 0.416089 | + | 0.386074i | ||||
\(47\) | −0.101886 | − | 0.0694649i | −0.0148616 | − | 0.0101325i | 0.555866 | − | 0.831272i | \(-0.312387\pi\) |
−0.570728 | + | 0.821139i | \(0.693339\pi\) | |||||||
\(48\) | −4.55181 | −0.656997 | ||||||||
\(49\) | 4.91705 | − | 4.98223i | 0.702436 | − | 0.711747i | ||||
\(50\) | 17.1672 | 2.42781 | ||||||||
\(51\) | −2.48893 | − | 1.69692i | −0.348520 | − | 0.237617i | ||||
\(52\) | −0.846683 | − | 0.785607i | −0.117414 | − | 0.108944i | ||||
\(53\) | 2.41309 | + | 6.14845i | 0.331463 | + | 0.844555i | 0.995315 | + | 0.0966899i | \(0.0308255\pi\) |
−0.663851 | + | 0.747865i | \(0.731079\pi\) | |||||||
\(54\) | −8.01661 | + | 2.47280i | −1.09092 | + | 0.336505i | ||||
\(55\) | 0.363443 | + | 1.59235i | 0.0490067 | + | 0.214712i | ||||
\(56\) | −0.678053 | − | 3.91269i | −0.0906086 | − | 0.522855i | ||||
\(57\) | −1.50513 | + | 6.59442i | −0.199360 | + | 0.873452i | ||||
\(58\) | −1.08874 | − | 14.5282i | −0.142958 | − | 1.90764i | ||||
\(59\) | −7.16946 | − | 2.21148i | −0.933384 | − | 0.287911i | −0.209481 | − | 0.977813i | \(-0.567177\pi\) |
−0.723903 | + | 0.689902i | \(0.757654\pi\) | |||||||
\(60\) | −0.302363 | + | 4.03475i | −0.0390349 | + | 0.520884i | ||||
\(61\) | −3.28680 | + | 8.37463i | −0.420832 | + | 1.07226i | 0.550564 | + | 0.834793i | \(0.314413\pi\) |
−0.971395 | + | 0.237468i | \(0.923682\pi\) | |||||||
\(62\) | 16.6496 | − | 8.01804i | 2.11451 | − | 1.01829i | ||||
\(63\) | −2.59606 | − | 5.10069i | −0.327073 | − | 0.642627i | ||||
\(64\) | 0.374270 | + | 0.180239i | 0.0467838 | + | 0.0225299i | ||||
\(65\) | 2.80721 | − | 2.60471i | 0.348192 | − | 0.323075i | ||||
\(66\) | −0.685258 | + | 0.103286i | −0.0843494 | + | 0.0127136i | ||||
\(67\) | 5.47285 | − | 9.47925i | 0.668615 | − | 1.15807i | −0.309677 | − | 0.950842i | \(-0.600221\pi\) |
0.978292 | − | 0.207233i | \(-0.0664458\pi\) | |||||||
\(68\) | 1.90177 | + | 3.29396i | 0.230623 | + | 0.399451i | ||||
\(69\) | −1.23613 | − | 1.55006i | −0.148813 | − | 0.186605i | ||||
\(70\) | −17.9123 | + | 1.73921i | −2.14093 | + | 0.207875i | ||||
\(71\) | 0.132786 | − | 0.166508i | 0.0157588 | − | 0.0197609i | −0.773890 | − | 0.633320i | \(-0.781692\pi\) |
0.789648 | + | 0.613560i | \(0.210263\pi\) | |||||||
\(72\) | −3.21051 | − | 0.483906i | −0.378362 | − | 0.0570289i | ||||
\(73\) | −3.73720 | + | 2.54798i | −0.437406 | + | 0.298218i | −0.761930 | − | 0.647659i | \(-0.775748\pi\) |
0.324524 | + | 0.945877i | \(0.394796\pi\) | |||||||
\(74\) | −9.67575 | + | 6.59681i | −1.12478 | + | 0.766864i | ||||
\(75\) | −8.74234 | − | 1.31770i | −1.00948 | − | 0.152154i | ||||
\(76\) | 5.32493 | − | 6.67725i | 0.610811 | − | 0.765933i | ||||
\(77\) | −0.356242 | − | 1.07072i | −0.0405976 | − | 0.122020i | ||||
\(78\) | 1.01306 | + | 1.27034i | 0.114707 | + | 0.143838i | ||||
\(79\) | −0.506776 | − | 0.877761i | −0.0570167 | − | 0.0987558i | 0.836108 | − | 0.548565i | \(-0.184825\pi\) |
−0.893125 | + | 0.449809i | \(0.851492\pi\) | |||||||
\(80\) | −9.52770 | + | 16.5025i | −1.06523 | + | 1.84503i | ||||
\(81\) | −2.14494 | + | 0.323298i | −0.238327 | + | 0.0359220i | ||||
\(82\) | −13.7136 | + | 12.7243i | −1.51441 | + | 1.40517i | ||||
\(83\) | 9.97761 | + | 4.80496i | 1.09518 | + | 0.527413i | 0.892141 | − | 0.451757i | \(-0.149202\pi\) |
0.203043 | + | 0.979170i | \(0.434917\pi\) | |||||||
\(84\) | −0.0614717 | − | 2.79471i | −0.00670712 | − | 0.304928i | ||||
\(85\) | −11.3619 | + | 5.47160i | −1.23237 | + | 0.593479i | ||||
\(86\) | −0.644849 | + | 1.64305i | −0.0695359 | + | 0.177175i | ||||
\(87\) | −0.560697 | + | 7.48198i | −0.0601130 | + | 0.802152i | ||||
\(88\) | −0.611703 | − | 0.188685i | −0.0652078 | − | 0.0201139i | ||||
\(89\) | −0.587651 | − | 7.84165i | −0.0622908 | − | 0.831214i | −0.937615 | − | 0.347676i | \(-0.886971\pi\) |
0.875324 | − | 0.483537i | \(-0.160648\pi\) | |||||||
\(90\) | −3.27425 | + | 14.3454i | −0.345136 | + | 1.51214i | ||||
\(91\) | −1.75648 | + | 1.97858i | −0.184129 | + | 0.207411i | ||||
\(92\) | 0.557041 | + | 2.44055i | 0.0580755 | + | 0.254445i | ||||
\(93\) | −9.09419 | + | 2.80519i | −0.943024 | + | 0.290884i | ||||
\(94\) | −0.0800219 | − | 0.203893i | −0.00825363 | − | 0.0210299i | ||||
\(95\) | 20.7574 | + | 19.2601i | 2.12966 | + | 1.97604i | ||||
\(96\) | −4.41143 | − | 3.00766i | −0.450239 | − | 0.306968i | ||||
\(97\) | −11.9861 | −1.21700 | −0.608502 | − | 0.793552i | \(-0.708229\pi\) | ||||
−0.608502 | + | 0.793552i | \(0.708229\pi\) | |||||||
\(98\) | 12.2014 | − | 2.39195i | 1.23253 | − | 0.241624i | ||||
\(99\) | −0.922627 | −0.0927275 | ||||||||
\(100\) | 9.22341 | + | 6.28841i | 0.922341 | + | 0.628841i | ||||
\(101\) | 0.244060 | + | 0.226454i | 0.0242848 | + | 0.0225330i | 0.692222 | − | 0.721685i | \(-0.256632\pi\) |
−0.667937 | + | 0.744218i | \(0.732822\pi\) | |||||||
\(102\) | −1.95482 | − | 4.98079i | −0.193556 | − | 0.493172i | ||||
\(103\) | 8.41294 | − | 2.59505i | 0.828951 | − | 0.255698i | 0.148891 | − | 0.988854i | \(-0.452430\pi\) |
0.680060 | + | 0.733156i | \(0.261954\pi\) | |||||||
\(104\) | 0.333981 | + | 1.46327i | 0.0327496 | + | 0.143485i | ||||
\(105\) | 9.25528 | + | 0.489204i | 0.903223 | + | 0.0477414i | ||||
\(106\) | −2.61064 | + | 11.4379i | −0.253567 | + | 1.11095i | ||||
\(107\) | 0.835337 | + | 11.1468i | 0.0807551 | + | 1.07760i | 0.879489 | + | 0.475918i | \(0.157884\pi\) |
−0.798734 | + | 0.601684i | \(0.794497\pi\) | |||||||
\(108\) | −5.21287 | − | 1.60796i | −0.501608 | − | 0.154726i | ||||
\(109\) | 0.865838 | − | 11.5538i | 0.0829322 | − | 1.10665i | −0.788139 | − | 0.615497i | \(-0.788955\pi\) |
0.871071 | − | 0.491157i | \(-0.163426\pi\) | |||||||
\(110\) | −1.05990 | + | 2.70058i | −0.101057 | + | 0.257490i | ||||
\(111\) | 5.43368 | − | 2.61672i | 0.515743 | − | 0.248369i | ||||
\(112\) | 5.44994 | − | 11.9842i | 0.514971 | − | 1.13240i | ||||
\(113\) | 2.31494 | + | 1.11482i | 0.217772 | + | 0.104873i | 0.539589 | − | 0.841928i | \(-0.318580\pi\) |
−0.321818 | + | 0.946802i | \(0.604294\pi\) | |||||||
\(114\) | −8.80723 | + | 8.17191i | −0.824873 | + | 0.765370i | ||||
\(115\) | −8.20714 | + | 1.23703i | −0.765320 | + | 0.115353i | ||||
\(116\) | 4.73677 | − | 8.20433i | 0.439798 | − | 0.761753i | ||||
\(117\) | 1.08161 | + | 1.87340i | 0.0999948 | + | 0.173196i | ||||
\(118\) | −8.30907 | − | 10.4192i | −0.764912 | − | 0.959169i | ||||
\(119\) | 7.44775 | − | 4.52120i | 0.682734 | − | 0.414457i | ||||
\(120\) | 3.27813 | − | 4.11065i | 0.299251 | − | 0.375249i | ||||
\(121\) | 10.6973 | + | 1.61235i | 0.972478 | + | 0.146578i | ||||
\(122\) | −13.2033 | + | 9.00183i | −1.19537 | + | 0.814987i | ||||
\(123\) | 7.96025 | − | 5.42721i | 0.717752 | − | 0.489355i | ||||
\(124\) | 11.8824 | + | 1.79098i | 1.06707 | + | 0.160835i | ||||
\(125\) | −11.1382 | + | 13.9669i | −0.996234 | + | 1.24924i | ||||
\(126\) | 1.29374 | − | 10.0833i | 0.115255 | − | 0.898295i | ||||
\(127\) | 0.489289 | + | 0.613549i | 0.0434174 | + | 0.0544437i | 0.803066 | − | 0.595890i | \(-0.203201\pi\) |
−0.759649 | + | 0.650334i | \(0.774629\pi\) | |||||||
\(128\) | −5.46777 | − | 9.47045i | −0.483287 | − | 0.837078i | ||||
\(129\) | 0.454502 | − | 0.787220i | 0.0400166 | − | 0.0693108i | ||||
\(130\) | 6.72609 | − | 1.01380i | 0.589917 | − | 0.0889157i | ||||
\(131\) | 8.29978 | − | 7.70107i | 0.725155 | − | 0.672846i | −0.228569 | − | 0.973528i | \(-0.573405\pi\) |
0.953725 | + | 0.300682i | \(0.0972142\pi\) | |||||||
\(132\) | −0.406002 | − | 0.195520i | −0.0353379 | − | 0.0170178i | ||||
\(133\) | −15.5599 | − | 11.8584i | −1.34922 | − | 1.02825i | ||||
\(134\) | 17.5168 | − | 8.43562i | 1.51322 | − | 0.728727i | ||||
\(135\) | 6.60793 | − | 16.8367i | 0.568720 | − | 1.44907i | ||||
\(136\) | 0.369358 | − | 4.92874i | 0.0316722 | − | 0.422636i | ||||
\(137\) | 10.9713 | + | 3.38418i | 0.937337 | + | 0.289130i | 0.725537 | − | 0.688183i | \(-0.241591\pi\) |
0.211800 | + | 0.977313i | \(0.432067\pi\) | |||||||
\(138\) | −0.263167 | − | 3.51172i | −0.0224023 | − | 0.298938i | ||||
\(139\) | 2.00129 | − | 8.76821i | 0.169747 | − | 0.743710i | −0.816353 | − | 0.577554i | \(-0.804007\pi\) |
0.986099 | − | 0.166156i | \(-0.0531355\pi\) | |||||||
\(140\) | −10.2608 | − | 5.62693i | −0.867197 | − | 0.475562i | ||||
\(141\) | 0.0251008 | + | 0.109974i | 0.00211387 | + | 0.00926145i | ||||
\(142\) | 0.361482 | − | 0.111503i | 0.0303349 | − | 0.00935708i | ||||
\(143\) | 0.155820 | + | 0.397024i | 0.0130303 | + | 0.0332008i | ||||
\(144\) | −7.89065 | − | 7.32146i | −0.657554 | − | 0.610121i | ||||
\(145\) | 25.9521 | + | 17.6938i | 2.15520 | + | 1.46939i | ||||
\(146\) | −8.03417 | −0.664913 | ||||||||
\(147\) | −6.39711 | + | 0.281555i | −0.527625 | + | 0.0232223i | ||||
\(148\) | −7.61491 | −0.625942 | ||||||||
\(149\) | 6.33764 | + | 4.32093i | 0.519200 | + | 0.353985i | 0.794393 | − | 0.607405i | \(-0.207789\pi\) |
−0.275193 | + | 0.961389i | \(0.588742\pi\) | |||||||
\(150\) | −11.5117 | − | 10.6813i | −0.939929 | − | 0.872127i | ||||
\(151\) | 2.90215 | + | 7.39457i | 0.236174 | + | 0.601762i | 0.998994 | − | 0.0448496i | \(-0.0142809\pi\) |
−0.762820 | + | 0.646611i | \(0.776186\pi\) | |||||||
\(152\) | −10.6051 | + | 3.27123i | −0.860184 | + | 0.265332i | ||||
\(153\) | −1.58516 | − | 6.94503i | −0.128152 | − | 0.561472i | ||||
\(154\) | 0.548533 | − | 1.92784i | 0.0442021 | − | 0.155350i | ||||
\(155\) | −8.86555 | + | 38.8425i | −0.712098 | + | 3.11990i | ||||
\(156\) | 0.0789565 | + | 1.05360i | 0.00632158 | + | 0.0843556i | ||||
\(157\) | 12.4389 | + | 3.83689i | 0.992732 | + | 0.306217i | 0.748236 | − | 0.663433i | \(-0.230901\pi\) |
0.244496 | + | 0.969650i | \(0.421377\pi\) | |||||||
\(158\) | 0.134537 | − | 1.79527i | 0.0107032 | − | 0.142824i | ||||
\(159\) | 2.20739 | − | 5.62434i | 0.175058 | − | 0.446039i | ||||
\(160\) | −20.1380 | + | 9.69797i | −1.59205 | + | 0.766692i | ||||
\(161\) | 5.56109 | − | 1.39863i | 0.438276 | − | 0.110227i | ||||
\(162\) | −3.47139 | − | 1.67173i | −0.272738 | − | 0.131344i | ||||
\(163\) | −8.39720 | + | 7.79146i | −0.657719 | + | 0.610274i | −0.936746 | − | 0.350009i | \(-0.886179\pi\) |
0.279027 | + | 0.960283i | \(0.409988\pi\) | |||||||
\(164\) | −12.0288 | + | 1.81306i | −0.939294 | + | 0.141576i | ||||
\(165\) | 0.747037 | − | 1.29391i | 0.0581567 | − | 0.100730i | ||||
\(166\) | 9.83529 | + | 17.0352i | 0.763366 | + | 1.32219i | ||||
\(167\) | 6.11365 | + | 7.66627i | 0.473088 | + | 0.593234i | 0.959924 | − | 0.280259i | \(-0.0904205\pi\) |
−0.486836 | + | 0.873493i | \(0.661849\pi\) | |||||||
\(168\) | −1.97977 | + | 3.04559i | −0.152742 | + | 0.234972i | ||||
\(169\) | 0.623490 | − | 0.781831i | 0.0479608 | − | 0.0601409i | ||||
\(170\) | −22.1495 | − | 3.33850i | −1.69879 | − | 0.256051i | ||||
\(171\) | −13.2161 | + | 9.01060i | −1.01066 | + | 0.689058i | ||||
\(172\) | −0.948312 | + | 0.646548i | −0.0723081 | + | 0.0492988i | ||||
\(173\) | 5.94456 | + | 0.895998i | 0.451956 | + | 0.0681215i | 0.371076 | − | 0.928602i | \(-0.378989\pi\) |
0.0808801 | + | 0.996724i | \(0.474227\pi\) | |||||||
\(174\) | −8.30926 | + | 10.4195i | −0.629923 | + | 0.789899i | ||||
\(175\) | 13.9366 | − | 21.4394i | 1.05351 | − | 1.62067i | ||||
\(176\) | −1.32322 | − | 1.65927i | −0.0997416 | − | 0.125072i | ||||
\(177\) | 3.43162 | + | 5.94373i | 0.257936 | + | 0.446758i | ||||
\(178\) | 6.98384 | − | 12.0964i | 0.523461 | − | 0.906661i | ||||
\(179\) | −3.76702 | + | 0.567787i | −0.281560 | + | 0.0424384i | −0.288304 | − | 0.957539i | \(-0.593091\pi\) |
0.00674385 | + | 0.999977i | \(0.497853\pi\) | |||||||
\(180\) | −7.01393 | + | 6.50798i | −0.522788 | + | 0.485076i | ||||
\(181\) | 22.3647 | + | 10.7703i | 1.66235 | + | 0.800547i | 0.998617 | + | 0.0525813i | \(0.0167449\pi\) |
0.663737 | + | 0.747966i | \(0.268969\pi\) | |||||||
\(182\) | −4.55755 | + | 1.14623i | −0.337828 | + | 0.0849643i | ||||
\(183\) | 7.41465 | − | 3.57071i | 0.548107 | − | 0.263954i | ||||
\(184\) | 1.18845 | − | 3.02811i | 0.0876134 | − | 0.223235i | ||||
\(185\) | 1.88675 | − | 25.1769i | 0.138717 | − | 1.85104i | ||||
\(186\) | −16.1534 | − | 4.98267i | −1.18443 | − | 0.365347i | ||||
\(187\) | −0.104960 | − | 1.40059i | −0.00767541 | − | 0.102421i | ||||
\(188\) | 0.0316933 | − | 0.138857i | 0.00231147 | − | 0.0101272i | ||||
\(189\) | −3.41982 | + | 12.0191i | −0.248755 | + | 0.874259i | ||||
\(190\) | 11.1920 | + | 49.0356i | 0.811957 | + | 3.55741i | ||||
\(191\) | −3.82331 | + | 1.17934i | −0.276645 | + | 0.0853337i | −0.429973 | − | 0.902842i | \(-0.641477\pi\) |
0.153328 | + | 0.988175i | \(0.451001\pi\) | |||||||
\(192\) | −0.138829 | − | 0.353731i | −0.0100191 | − | 0.0255283i | ||||
\(193\) | −19.3697 | − | 17.9725i | −1.39426 | − | 1.29369i | −0.907436 | − | 0.420190i | \(-0.861963\pi\) |
−0.486828 | − | 0.873498i | \(-0.661846\pi\) | |||||||
\(194\) | −17.5907 | − | 11.9932i | −1.26294 | − | 0.861058i | ||||
\(195\) | −3.50305 | −0.250859 | ||||||||
\(196\) | 7.43161 | + | 3.18430i | 0.530829 | + | 0.227450i | ||||
\(197\) | −2.93745 | −0.209284 | −0.104642 | − | 0.994510i | \(-0.533370\pi\) | ||||
−0.104642 | + | 0.994510i | \(0.533370\pi\) | |||||||
\(198\) | −1.35404 | − | 0.923170i | −0.0962276 | − | 0.0656068i | ||||
\(199\) | 2.11645 | + | 1.96378i | 0.150031 | + | 0.139209i | 0.751618 | − | 0.659599i | \(-0.229274\pi\) |
−0.601586 | + | 0.798808i | \(0.705464\pi\) | |||||||
\(200\) | −5.29967 | − | 13.5033i | −0.374743 | − | 0.954831i | ||||
\(201\) | −9.56782 | + | 2.95128i | −0.674862 | + | 0.208167i | ||||
\(202\) | 0.131593 | + | 0.576547i | 0.00925885 | + | 0.0405657i | ||||
\(203\) | −19.0275 | − | 10.4345i | −1.33547 | − | 0.732358i | ||||
\(204\) | 0.774220 | − | 3.39208i | 0.0542062 | − | 0.237493i | ||||
\(205\) | −3.01405 | − | 40.2198i | −0.210511 | − | 2.80907i | ||||
\(206\) | 14.9434 | + | 4.60941i | 1.04115 | + | 0.321153i | ||||
\(207\) | 0.350369 | − | 4.67535i | 0.0243523 | − | 0.324959i | ||||
\(208\) | −1.81793 | + | 4.63200i | −0.126051 | + | 0.321171i | ||||
\(209\) | −2.84141 | + | 1.36835i | −0.196544 | + | 0.0946507i | ||||
\(210\) | 13.0935 | + | 9.97868i | 0.903538 | + | 0.688594i | ||||
\(211\) | 9.25907 | + | 4.45893i | 0.637420 | + | 0.306965i | 0.724540 | − | 0.689232i | \(-0.242052\pi\) |
−0.0871200 | + | 0.996198i | \(0.527766\pi\) | |||||||
\(212\) | −5.59237 | + | 5.18896i | −0.384086 | + | 0.356379i | ||||
\(213\) | −0.192642 | + | 0.0290361i | −0.0131996 | + | 0.00198952i | ||||
\(214\) | −9.92743 | + | 17.1948i | −0.678625 | + | 1.17541i | ||||
\(215\) | −1.90270 | − | 3.29557i | −0.129763 | − | 0.224756i | ||||
\(216\) | 4.41985 | + | 5.54231i | 0.300732 | + | 0.377107i | ||||
\(217\) | 3.50300 | − | 27.3022i | 0.237799 | − | 1.85339i | ||||
\(218\) | 12.8313 | − | 16.0900i | 0.869046 | − | 1.08975i | ||||
\(219\) | 4.09137 | + | 0.616675i | 0.276469 | + | 0.0416710i | ||||
\(220\) | −1.55868 | + | 1.06269i | −0.105086 | + | 0.0716467i | ||||
\(221\) | −2.72086 | + | 1.85505i | −0.183025 | + | 0.124784i | ||||
\(222\) | 10.5927 | + | 1.59659i | 0.710936 | + | 0.107156i | ||||
\(223\) | −8.66239 | + | 10.8623i | −0.580076 | + | 0.727393i | −0.982126 | − | 0.188225i | \(-0.939727\pi\) |
0.402050 | + | 0.915618i | \(0.368298\pi\) | |||||||
\(224\) | 13.2005 | − | 8.01345i | 0.881998 | − | 0.535421i | ||||
\(225\) | −13.0355 | − | 16.3461i | −0.869036 | − | 1.08974i | ||||
\(226\) | 2.28192 | + | 3.95241i | 0.151791 | + | 0.262910i | ||||
\(227\) | 5.77905 | − | 10.0096i | 0.383569 | − | 0.664361i | −0.608000 | − | 0.793937i | \(-0.708028\pi\) |
0.991570 | + | 0.129575i | \(0.0413614\pi\) | |||||||
\(228\) | −7.72525 | + | 1.16439i | −0.511617 | + | 0.0771139i | ||||
\(229\) | 3.79415 | − | 3.52046i | 0.250725 | − | 0.232638i | −0.544791 | − | 0.838572i | \(-0.683391\pi\) |
0.795515 | + | 0.605934i | \(0.207200\pi\) | |||||||
\(230\) | −13.2825 | − | 6.39652i | −0.875823 | − | 0.421774i | ||||
\(231\) | −0.427312 | + | 0.939640i | −0.0281151 | + | 0.0618238i | ||||
\(232\) | −11.0914 | + | 5.34135i | −0.728188 | + | 0.350677i | ||||
\(233\) | −3.97674 | + | 10.1326i | −0.260525 | + | 0.663806i | −0.999956 | − | 0.00942649i | \(-0.996999\pi\) |
0.739431 | + | 0.673232i | \(0.235095\pi\) | |||||||
\(234\) | −0.287142 | + | 3.83164i | −0.0187710 | + | 0.250482i | ||||
\(235\) | 0.451247 | + | 0.139191i | 0.0294361 | + | 0.00907983i | ||||
\(236\) | −0.647596 | − | 8.64157i | −0.0421549 | − | 0.562519i | ||||
\(237\) | −0.206311 | + | 0.903908i | −0.0134013 | + | 0.0587151i | ||||
\(238\) | 15.4541 | + | 0.816855i | 1.00174 | + | 0.0529489i | ||||
\(239\) | 4.38075 | + | 19.1933i | 0.283367 | + | 1.24151i | 0.893445 | + | 0.449172i | \(0.148281\pi\) |
−0.610078 | + | 0.792341i | \(0.708862\pi\) | |||||||
\(240\) | 16.6567 | − | 5.13790i | 1.07518 | − | 0.331650i | ||||
\(241\) | −5.39291 | − | 13.7409i | −0.347388 | − | 0.885130i | −0.992634 | − | 0.121155i | \(-0.961340\pi\) |
0.645245 | − | 0.763975i | \(-0.276755\pi\) | |||||||
\(242\) | 14.0859 | + | 13.0698i | 0.905479 | + | 0.840161i | ||||
\(243\) | 13.3467 | + | 9.09962i | 0.856190 | + | 0.583741i | ||||
\(244\) | −10.3911 | −0.665222 | ||||||||
\(245\) | −12.3695 | + | 23.7819i | −0.790256 | + | 1.51937i | ||||
\(246\) | 17.1128 | 1.09107 | ||||||||
\(247\) | 6.10947 | + | 4.16537i | 0.388736 | + | 0.265036i | ||||
\(248\) | −11.4467 | − | 10.6210i | −0.726866 | − | 0.674433i | ||||
\(249\) | −3.70102 | − | 9.43004i | −0.234542 | − | 0.597604i | ||||
\(250\) | −30.3215 | + | 9.35295i | −1.91770 | + | 0.591533i | ||||
\(251\) | −5.19929 | − | 22.7796i | −0.328176 | − | 1.43784i | −0.822603 | − | 0.568616i | \(-0.807479\pi\) |
0.494427 | − | 0.869219i | \(-0.335378\pi\) | |||||||
\(252\) | 4.38865 | − | 4.94356i | 0.276459 | − | 0.311415i | ||||
\(253\) | 0.205696 | − | 0.901214i | 0.0129320 | − | 0.0566588i | ||||
\(254\) | 0.104168 | + | 1.39002i | 0.00653605 | + | 0.0872176i | ||||
\(255\) | 11.0233 | + | 3.40023i | 0.690305 | + | 0.212931i | ||||
\(256\) | 1.51365 | − | 20.1983i | 0.0946032 | − | 1.26239i | ||||
\(257\) | 4.06048 | − | 10.3459i | 0.253286 | − | 0.645361i | −0.746514 | − | 0.665369i | \(-0.768274\pi\) |
0.999800 | + | 0.0200084i | \(0.00636930\pi\) | |||||||
\(258\) | 1.45471 | − | 0.700550i | 0.0905661 | − | 0.0436143i | ||||
\(259\) | 0.383585 | + | 17.4390i | 0.0238348 | + | 1.08361i | ||||
\(260\) | 3.98507 | + | 1.91911i | 0.247144 | + | 0.119018i | ||||
\(261\) | −13.0065 | + | 12.0683i | −0.805084 | + | 0.747009i | ||||
\(262\) | 19.8863 | − | 2.99738i | 1.22858 | − | 0.185179i | ||||
\(263\) | −12.2699 | + | 21.2521i | −0.756595 | + | 1.31046i | 0.187983 | + | 0.982172i | \(0.439805\pi\) |
−0.944578 | + | 0.328288i | \(0.893528\pi\) | |||||||
\(264\) | 0.292788 | + | 0.507123i | 0.0180198 | + | 0.0312113i | ||||
\(265\) | −15.7705 | − | 19.7755i | −0.968772 | − | 1.21480i | ||||
\(266\) | −10.9703 | − | 32.9723i | −0.672632 | − | 2.02166i | ||||
\(267\) | −4.48497 | + | 5.62397i | −0.274475 | + | 0.344181i | ||||
\(268\) | 12.5012 | + | 1.88425i | 0.763632 | + | 0.115099i | ||||
\(269\) | 22.4895 | − | 15.3331i | 1.37121 | − | 0.934876i | 0.371232 | − | 0.928540i | \(-0.378935\pi\) |
0.999980 | − | 0.00633636i | \(-0.00201694\pi\) | |||||||
\(270\) | 26.5444 | − | 18.0977i | 1.61544 | − | 1.10139i | ||||
\(271\) | 30.2806 | + | 4.56407i | 1.83942 | + | 0.277248i | 0.974454 | − | 0.224586i | \(-0.0721031\pi\) |
0.864964 | + | 0.501834i | \(0.167341\pi\) | |||||||
\(272\) | 10.2166 | − | 12.8113i | 0.619475 | − | 0.776797i | ||||
\(273\) | 2.40889 | − | 0.233893i | 0.145793 | − | 0.0141558i | ||||
\(274\) | 12.7152 | + | 15.9443i | 0.768152 | + | 0.963232i | ||||
\(275\) | −2.06108 | − | 3.56990i | −0.124288 | − | 0.215273i | ||||
\(276\) | 1.14496 | − | 1.98314i | 0.0689188 | − | 0.119371i | ||||
\(277\) | 26.6750 | − | 4.02061i | 1.60275 | − | 0.241575i | 0.714059 | − | 0.700086i | \(-0.246855\pi\) |
0.888689 | + | 0.458511i | \(0.151617\pi\) | |||||||
\(278\) | 11.7105 | − | 10.8657i | 0.702346 | − | 0.651682i | ||||
\(279\) | −20.2770 | − | 9.76491i | −1.21395 | − | 0.584610i | ||||
\(280\) | 6.89772 | + | 13.5525i | 0.412217 | + | 0.809919i | ||||
\(281\) | −6.67879 | + | 3.21634i | −0.398423 | + | 0.191871i | −0.622356 | − | 0.782734i | \(-0.713825\pi\) |
0.223933 | + | 0.974605i | \(0.428110\pi\) | |||||||
\(282\) | −0.0732007 | + | 0.186512i | −0.00435904 | + | 0.0111066i | ||||
\(283\) | 0.912456 | − | 12.1759i | 0.0542399 | − | 0.723781i | −0.902101 | − | 0.431526i | \(-0.857975\pi\) |
0.956340 | − | 0.292255i | \(-0.0944055\pi\) | |||||||
\(284\) | 0.235057 | + | 0.0725054i | 0.0139481 | + | 0.00430241i | ||||
\(285\) | −1.93571 | − | 25.8302i | −0.114661 | − | 1.53005i | ||||
\(286\) | −0.168576 | + | 0.738582i | −0.00996814 | + | 0.0436733i | ||||
\(287\) | 4.75804 | + | 27.4561i | 0.280858 | + | 1.62068i | ||||
\(288\) | −2.80956 | − | 12.3095i | −0.165555 | − | 0.725344i | ||||
\(289\) | −5.88221 | + | 1.81442i | −0.346012 | + | 0.106731i | ||||
\(290\) | 20.3829 | + | 51.9347i | 1.19692 | + | 3.04971i | ||||
\(291\) | 8.03745 | + | 7.45767i | 0.471164 | + | 0.437176i | ||||
\(292\) | −4.31651 | − | 2.94294i | −0.252604 | − | 0.172223i | ||||
\(293\) | 12.6189 | 0.737207 | 0.368603 | − | 0.929587i | \(-0.379836\pi\) | ||||
0.368603 | + | 0.929587i | \(0.379836\pi\) | |||||||
\(294\) | −9.67008 | − | 5.98767i | −0.563971 | − | 0.349208i | ||||
\(295\) | 28.7318 | 1.67283 | ||||||||
\(296\) | 8.17590 | + | 5.57423i | 0.475214 | + | 0.323996i | ||||
\(297\) | 1.47668 | + | 1.37016i | 0.0856858 | + | 0.0795048i | ||||
\(298\) | 4.97761 | + | 12.6828i | 0.288345 | + | 0.734692i | ||||
\(299\) | −2.07106 | + | 0.638838i | −0.119773 | + | 0.0369450i | ||||
\(300\) | −2.27228 | − | 9.95553i | −0.131190 | − | 0.574783i | ||||
\(301\) | 1.52844 | + | 2.13918i | 0.0880978 | + | 0.123300i | ||||
\(302\) | −3.13974 | + | 13.7561i | −0.180672 | + | 0.791574i | ||||
\(303\) | −0.0227595 | − | 0.303705i | −0.00130750 | − | 0.0174474i | ||||
\(304\) | −35.1593 | − | 10.8452i | −2.01652 | − | 0.622015i | ||||
\(305\) | 2.57461 | − | 34.3557i | 0.147421 | − | 1.96720i | ||||
\(306\) | 4.62275 | − | 11.7786i | 0.264265 | − | 0.673336i | ||||
\(307\) | −8.32758 | + | 4.01035i | −0.475280 | + | 0.228883i | −0.656159 | − | 0.754622i | \(-0.727820\pi\) |
0.180879 | + | 0.983505i | \(0.442106\pi\) | |||||||
\(308\) | 1.00088 | − | 0.834837i | 0.0570306 | − | 0.0475693i | ||||
\(309\) | −7.25604 | − | 3.49432i | −0.412782 | − | 0.198785i | ||||
\(310\) | −51.8764 | + | 48.1343i | −2.94638 | + | 2.73384i | ||||
\(311\) | −21.2374 | + | 3.20102i | −1.20426 | + | 0.181513i | −0.720354 | − | 0.693606i | \(-0.756021\pi\) |
−0.483907 | + | 0.875119i | \(0.660783\pi\) | |||||||
\(312\) | 0.686479 | − | 1.18902i | 0.0388642 | − | 0.0673148i | ||||
\(313\) | 12.6941 | + | 21.9867i | 0.717510 | + | 1.24276i | 0.961983 | + | 0.273108i | \(0.0880516\pi\) |
−0.244473 | + | 0.969656i | \(0.578615\pi\) | |||||||
\(314\) | 14.4161 | + | 18.0772i | 0.813547 | + | 1.02016i | ||||
\(315\) | 15.2573 | + | 15.7349i | 0.859654 | + | 0.886561i | ||||
\(316\) | 0.729897 | − | 0.915262i | 0.0410599 | − | 0.0514875i | ||||
\(317\) | −4.57524 | − | 0.689606i | −0.256971 | − | 0.0387322i | 0.0192932 | − | 0.999814i | \(-0.493858\pi\) |
−0.276264 | + | 0.961082i | \(0.589096\pi\) | |||||||
\(318\) | 8.86721 | − | 6.04556i | 0.497248 | − | 0.339018i | ||||
\(319\) | −2.89040 | + | 1.97064i | −0.161831 | + | 0.110335i | ||||
\(320\) | −1.57303 | − | 0.237097i | −0.0879353 | − | 0.0132541i | ||||
\(321\) | 6.37532 | − | 7.99439i | 0.355835 | − | 0.446204i | ||||
\(322\) | 9.56088 | + | 3.51175i | 0.532807 | + | 0.195702i | ||||
\(323\) | −15.1820 | − | 19.0376i | −0.844748 | − | 1.05928i | ||||
\(324\) | −1.25271 | − | 2.16975i | −0.0695949 | − | 0.120542i | ||||
\(325\) | −4.83247 | + | 8.37009i | −0.268057 | + | 0.464289i | ||||
\(326\) | −20.1197 | + | 3.03256i | −1.11433 | + | 0.167958i | ||||
\(327\) | −7.76930 | + | 7.20886i | −0.429643 | + | 0.398651i | ||||
\(328\) | 14.2422 | + | 6.85867i | 0.786392 | + | 0.378707i | ||||
\(329\) | −0.319596 | − | 0.0655867i | −0.0176199 | − | 0.00361591i | ||||
\(330\) | 2.39101 | − | 1.15145i | 0.131621 | − | 0.0633853i | ||||
\(331\) | 5.36176 | − | 13.6615i | 0.294709 | − | 0.750906i | −0.704444 | − | 0.709759i | \(-0.748804\pi\) |
0.999153 | − | 0.0411465i | \(-0.0131010\pi\) | |||||||
\(332\) | −0.955869 | + | 12.7552i | −0.0524601 | + | 0.700032i | ||||
\(333\) | 13.6283 | + | 4.20378i | 0.746828 | + | 0.230366i | ||||
\(334\) | 1.30157 | + | 17.3682i | 0.0712187 | + | 0.950347i | ||||
\(335\) | −9.32727 | + | 40.8654i | −0.509603 | + | 2.23272i | ||||
\(336\) | −11.1110 | + | 4.64524i | −0.606155 | + | 0.253419i | ||||
\(337\) | −1.23025 | − | 5.39006i | −0.0670158 | − | 0.293616i | 0.930303 | − | 0.366791i | \(-0.119544\pi\) |
−0.997319 | + | 0.0731758i | \(0.976687\pi\) | |||||||
\(338\) | 1.69732 | − | 0.523555i | 0.0923222 | − | 0.0284776i | ||||
\(339\) | −0.858688 | − | 2.18790i | −0.0466375 | − | 0.118830i | ||||
\(340\) | −10.6773 | − | 9.90711i | −0.579059 | − | 0.537288i | ||||
\(341\) | −3.66628 | − | 2.49963i | −0.198540 | − | 0.135362i | ||||
\(342\) | −28.4118 | −1.53633 | ||||||||
\(343\) | 6.91806 | − | 17.1797i | 0.373540 | − | 0.927614i | ||||
\(344\) | 1.49146 | 0.0804139 | ||||||||
\(345\) | 6.27309 | + | 4.27692i | 0.337732 | + | 0.230262i | ||||
\(346\) | 7.82768 | + | 7.26302i | 0.420818 | + | 0.390462i | ||||
\(347\) | 11.0322 | + | 28.1097i | 0.592242 | + | 1.50901i | 0.841327 | + | 0.540526i | \(0.181775\pi\) |
−0.249086 | + | 0.968481i | \(0.580130\pi\) | |||||||
\(348\) | −8.28099 | + | 2.55435i | −0.443908 | + | 0.136927i | ||||
\(349\) | −6.23259 | − | 27.3068i | −0.333623 | − | 1.46170i | −0.812059 | − | 0.583575i | \(-0.801653\pi\) |
0.478436 | − | 0.878122i | \(-0.341204\pi\) | |||||||
\(350\) | 41.9053 | − | 17.5196i | 2.23993 | − | 0.936463i | ||||
\(351\) | 1.05099 | − | 4.60468i | 0.0560975 | − | 0.245779i | ||||
\(352\) | −0.186032 | − | 2.48243i | −0.00991556 | − | 0.132314i | ||||
\(353\) | −16.2489 | − | 5.01211i | −0.864840 | − | 0.266768i | −0.169571 | − | 0.985518i | \(-0.554238\pi\) |
−0.695268 | + | 0.718750i | \(0.744714\pi\) | |||||||
\(354\) | −0.911013 | + | 12.1566i | −0.0484198 | + | 0.646117i | ||||
\(355\) | −0.297962 | + | 0.759196i | −0.0158142 | + | 0.0402939i | ||||
\(356\) | 8.18314 | − | 3.94079i | 0.433705 | − | 0.208862i | ||||
\(357\) | −7.80726 | − | 1.60219i | −0.413204 | − | 0.0847966i | ||||
\(358\) | −6.09658 | − | 2.93596i | −0.322214 | − | 0.155170i | ||||
\(359\) | −15.8094 | + | 14.6690i | −0.834389 | + | 0.774200i | −0.976470 | − | 0.215655i | \(-0.930811\pi\) |
0.142081 | + | 0.989855i | \(0.454621\pi\) | |||||||
\(360\) | 12.2946 | − | 1.85311i | 0.647981 | − | 0.0976675i | ||||
\(361\) | −17.8380 | + | 30.8962i | −0.938840 | + | 1.62612i | ||||
\(362\) | 22.0457 | + | 38.1842i | 1.15870 | + | 2.00692i | ||||
\(363\) | −6.17001 | − | 7.73695i | −0.323842 | − | 0.406085i | ||||
\(364\) | −2.86850 | − | 1.05361i | −0.150350 | − | 0.0552242i | ||||
\(365\) | 10.7997 | − | 13.5423i | 0.565280 | − | 0.708839i | ||||
\(366\) | 14.4545 | + | 2.17867i | 0.755549 | + | 0.113881i | ||||
\(367\) | 17.4896 | − | 11.9242i | 0.912949 | − | 0.622438i | −0.0130701 | − | 0.999915i | \(-0.504160\pi\) |
0.926019 | + | 0.377476i | \(0.123208\pi\) | |||||||
\(368\) | 8.91073 | − | 6.07523i | 0.464504 | − | 0.316693i | ||||
\(369\) | 22.5288 | + | 3.39567i | 1.17280 | + | 0.176771i | ||||
\(370\) | 27.9607 | − | 35.0617i | 1.45361 | − | 1.82277i | ||||
\(371\) | 12.1650 | + | 12.5458i | 0.631577 | + | 0.651345i | ||||
\(372\) | −6.85356 | − | 8.59409i | −0.355340 | − | 0.445583i | ||||
\(373\) | −1.78326 | − | 3.08870i | −0.0923339 | − | 0.159927i | 0.816159 | − | 0.577828i | \(-0.196099\pi\) |
−0.908493 | + | 0.417901i | \(0.862766\pi\) | |||||||
\(374\) | 1.24738 | − | 2.16052i | 0.0645002 | − | 0.111718i | ||||
\(375\) | 16.1590 | − | 2.43558i | 0.834448 | − | 0.125773i | ||||
\(376\) | −0.135674 | + | 0.125887i | −0.00699684 | + | 0.00649212i | ||||
\(377\) | 7.38986 | + | 3.55877i | 0.380597 | + | 0.183286i | ||||
\(378\) | −17.0451 | + | 14.2173i | −0.876703 | + | 0.731258i | ||||
\(379\) | −12.9971 | + | 6.25907i | −0.667616 | + | 0.321507i | −0.736813 | − | 0.676096i | \(-0.763670\pi\) |
0.0691978 | + | 0.997603i | \(0.477956\pi\) | |||||||
\(380\) | −11.9488 | + | 30.4450i | −0.612959 | + | 1.56179i | ||||
\(381\) | 0.0536461 | − | 0.715857i | 0.00274837 | − | 0.0366745i | ||||
\(382\) | −6.79110 | − | 2.09478i | −0.347463 | − | 0.107178i | ||||
\(383\) | −1.48013 | − | 19.7509i | −0.0756309 | − | 1.00922i | −0.897921 | − | 0.440156i | \(-0.854923\pi\) |
0.822290 | − | 0.569068i | \(-0.192696\pi\) | |||||||
\(384\) | −2.22596 | + | 9.75256i | −0.113593 | + | 0.497683i | ||||
\(385\) | 2.51220 | + | 3.51604i | 0.128034 | + | 0.179194i | ||||
\(386\) | −10.4438 | − | 45.7575i | −0.531578 | − | 2.32899i | ||||
\(387\) | 2.05411 | − | 0.633609i | 0.104416 | − | 0.0322081i | ||||
\(388\) | −5.05781 | − | 12.8871i | −0.256771 | − | 0.654243i | ||||
\(389\) | −6.19137 | − | 5.74475i | −0.313915 | − | 0.291270i | 0.507441 | − | 0.861686i | \(-0.330591\pi\) |
−0.821356 | + | 0.570416i | \(0.806782\pi\) | |||||||
\(390\) | −5.14106 | − | 3.50511i | −0.260327 | − | 0.177488i | ||||
\(391\) | 7.13724 | 0.360946 | ||||||||
\(392\) | −5.64814 | − | 8.85893i | −0.285274 | − | 0.447443i | ||||
\(393\) | −10.3571 | −0.522446 | ||||||||
\(394\) | −4.31098 | − | 2.93918i | −0.217184 | − | 0.148074i | ||||
\(395\) | 2.84525 | + | 2.64001i | 0.143160 | + | 0.132833i | ||||
\(396\) | −0.389324 | − | 0.991981i | −0.0195643 | − | 0.0498489i | ||||
\(397\) | −22.9460 | + | 7.07789i | −1.15162 | + | 0.355229i | −0.811043 | − | 0.584986i | \(-0.801100\pi\) |
−0.340581 | + | 0.940215i | \(0.610624\pi\) | |||||||
\(398\) | 1.14116 | + | 4.99973i | 0.0572009 | + | 0.250614i | ||||
\(399\) | 3.05574 | + | 17.6331i | 0.152978 | + | 0.882757i | ||||
\(400\) | 10.7016 | − | 46.8867i | 0.535079 | − | 2.34434i | ||||
\(401\) | 1.52849 | + | 20.3962i | 0.0763289 | + | 1.01854i | 0.895521 | + | 0.445019i | \(0.146803\pi\) |
−0.819192 | + | 0.573519i | \(0.805578\pi\) | |||||||
\(402\) | −16.9947 | − | 5.24217i | −0.847619 | − | 0.261456i | ||||
\(403\) | −0.777481 | + | 10.3748i | −0.0387291 | + | 0.516804i | ||||
\(404\) | −0.140490 | + | 0.357963i | −0.00698965 | + | 0.0178093i | ||||
\(405\) | 7.48417 | − | 3.60419i | 0.371891 | − | 0.179093i | ||||
\(406\) | −17.4840 | − | 34.3523i | −0.867716 | − | 1.70488i | ||||
\(407\) | 2.53346 | + | 1.22005i | 0.125579 | + | 0.0604756i | ||||
\(408\) | −3.31431 | + | 3.07523i | −0.164083 | + | 0.152247i | ||||
\(409\) | −33.3809 | + | 5.03136i | −1.65058 | + | 0.248785i | −0.907387 | − | 0.420296i | \(-0.861926\pi\) |
−0.743190 | + | 0.669080i | \(0.766688\pi\) | |||||||
\(410\) | 35.8200 | − | 62.0421i | 1.76903 | − | 3.06404i | ||||
\(411\) | −5.25132 | − | 9.09555i | −0.259028 | − | 0.448650i | ||||
\(412\) | 6.34015 | + | 7.95030i | 0.312357 | + | 0.391683i | ||||
\(413\) | −19.7576 | + | 1.91837i | −0.972208 | + | 0.0943969i | ||||
\(414\) | 5.19230 | − | 6.51094i | 0.255188 | − | 0.319995i | ||||
\(415\) | −41.9352 | − | 6.32072i | −2.05852 | − | 0.310272i | ||||
\(416\) | −4.82251 | + | 3.28793i | −0.236443 | + | 0.161204i | ||||
\(417\) | −6.79751 | + | 4.63447i | −0.332876 | + | 0.226951i | ||||
\(418\) | −5.53919 | − | 0.834898i | −0.270931 | − | 0.0408362i | ||||
\(419\) | −4.71961 | + | 5.91820i | −0.230568 | + | 0.289123i | −0.883634 | − | 0.468177i | \(-0.844911\pi\) |
0.653066 | + | 0.757301i | \(0.273482\pi\) | |||||||
\(420\) | 3.37950 | + | 10.1574i | 0.164903 | + | 0.495632i | ||||
\(421\) | −7.77814 | − | 9.75348i | −0.379084 | − | 0.475356i | 0.555287 | − | 0.831659i | \(-0.312608\pi\) |
−0.934370 | + | 0.356303i | \(0.884037\pi\) | |||||||
\(422\) | 9.12700 | + | 15.8084i | 0.444295 | + | 0.769542i | ||||
\(423\) | −0.133377 | + | 0.231015i | −0.00648500 | + | 0.0112324i | ||||
\(424\) | 9.80275 | − | 1.47753i | 0.476064 | − | 0.0717551i | ||||
\(425\) | 23.3311 | − | 21.6481i | 1.13172 | − | 1.05009i | ||||
\(426\) | −0.311773 | − | 0.150142i | −0.0151055 | − | 0.00727441i | ||||
\(427\) | 0.523429 | + | 23.7968i | 0.0253305 | + | 1.15161i | ||||
\(428\) | −11.6322 | + | 5.60178i | −0.562264 | + | 0.270772i | ||||
\(429\) | 0.142538 | − | 0.363180i | 0.00688179 | − | 0.0175345i | ||||
\(430\) | 0.505121 | − | 6.74037i | 0.0243591 | − | 0.325050i | ||||
\(431\) | 19.5439 | + | 6.02848i | 0.941395 | + | 0.290382i | 0.727213 | − | 0.686412i | \(-0.240815\pi\) |
0.214182 | + | 0.976794i | \(0.431291\pi\) | |||||||
\(432\) | 1.75631 | + | 23.4363i | 0.0845003 | + | 1.12758i | ||||
\(433\) | 8.06963 | − | 35.3554i | 0.387802 | − | 1.69907i | −0.284403 | − | 0.958705i | \(-0.591795\pi\) |
0.672204 | − | 0.740366i | \(-0.265348\pi\) | |||||||
\(434\) | 32.4593 | − | 36.5635i | 1.55809 | − | 1.75510i | ||||
\(435\) | −6.39357 | − | 28.0121i | −0.306548 | − | 1.34308i | ||||
\(436\) | 12.7877 | − | 3.94447i | 0.612418 | − | 0.188906i | ||||
\(437\) | −5.85499 | − | 14.9183i | −0.280082 | − | 0.713638i | ||||
\(438\) | 5.38743 | + | 4.99881i | 0.257421 | + | 0.238852i | ||||
\(439\) | 28.4706 | + | 19.4109i | 1.35883 | + | 0.926431i | 0.999976 | − | 0.00696389i | \(-0.00221669\pi\) |
0.358850 | + | 0.933395i | \(0.383169\pi\) | |||||||
\(440\) | 2.45142 | 0.116867 | ||||||||
\(441\) | −11.5424 | − | 9.80149i | −0.549638 | − | 0.466738i | ||||
\(442\) | −5.84927 | −0.278221 | ||||||||
\(443\) | −0.455687 | − | 0.310682i | −0.0216504 | − | 0.0147610i | 0.552447 | − | 0.833548i | \(-0.313694\pi\) |
−0.574097 | + | 0.818787i | \(0.694647\pi\) | |||||||
\(444\) | 5.10629 | + | 4.73795i | 0.242334 | + | 0.224853i | ||||
\(445\) | 11.0018 | + | 28.0320i | 0.521534 | + | 1.32885i | ||||
\(446\) | −23.5816 | + | 7.27395i | −1.11662 | + | 0.344431i | ||||
\(447\) | −1.56135 | − | 6.84070i | −0.0738491 | − | 0.323554i | ||||
\(448\) | 1.09754 | + | 0.0580122i | 0.0518537 | + | 0.00274082i | ||||
\(449\) | −1.41961 | + | 6.21971i | −0.0669955 | + | 0.293526i | −0.997316 | − | 0.0732219i | \(-0.976672\pi\) |
0.930320 | + | 0.366748i | \(0.119529\pi\) | |||||||
\(450\) | −2.77521 | − | 37.0326i | −0.130825 | − | 1.74573i | ||||
\(451\) | 4.29244 | + | 1.32404i | 0.202123 | + | 0.0623468i | ||||
\(452\) | −0.221775 | + | 2.95938i | −0.0104314 | + | 0.139198i | ||||
\(453\) | 2.65477 | − | 6.76424i | 0.124732 | − | 0.317812i | ||||
\(454\) | 18.4968 | − | 8.90760i | 0.868099 | − | 0.418054i | ||||
\(455\) | 4.19425 | − | 9.22296i | 0.196629 | − | 0.432379i | ||||
\(456\) | 9.14671 | + | 4.40482i | 0.428334 | + | 0.206275i | ||||
\(457\) | −4.33391 | + | 4.02128i | −0.202732 | + | 0.188107i | −0.775004 | − | 0.631956i | \(-0.782252\pi\) |
0.572273 | + | 0.820063i | \(0.306062\pi\) | |||||||
\(458\) | 9.09081 | − | 1.37022i | 0.424785 | − | 0.0640261i | ||||
\(459\) | −7.77674 | + | 13.4697i | −0.362987 | + | 0.628712i | ||||
\(460\) | −4.79321 | − | 8.30208i | −0.223484 | − | 0.387086i | ||||
\(461\) | 5.41133 | + | 6.78559i | 0.252031 | + | 0.316036i | 0.891712 | − | 0.452604i | \(-0.149505\pi\) |
−0.639681 | + | 0.768641i | \(0.720934\pi\) | |||||||
\(462\) | −1.56731 | + | 0.951447i | −0.0729181 | + | 0.0442653i | ||||
\(463\) | 7.09912 | − | 8.90201i | 0.329924 | − | 0.413711i | −0.589008 | − | 0.808127i | \(-0.700481\pi\) |
0.918932 | + | 0.394415i | \(0.129053\pi\) | |||||||
\(464\) | −40.3577 | − | 6.08294i | −1.87356 | − | 0.282393i | ||||
\(465\) | 30.1125 | − | 20.5303i | 1.39643 | − | 0.952071i | ||||
\(466\) | −15.9748 | + | 10.8914i | −0.740016 | + | 0.504535i | ||||
\(467\) | 18.4760 | + | 2.78481i | 0.854966 | + | 0.128865i | 0.561878 | − | 0.827220i | \(-0.310079\pi\) |
0.293088 | + | 0.956085i | \(0.405317\pi\) | |||||||
\(468\) | −1.55782 | + | 1.95344i | −0.0720101 | + | 0.0902978i | ||||
\(469\) | 3.68544 | − | 28.7241i | 0.170178 | − | 1.32636i | ||||
\(470\) | 0.522974 | + | 0.655789i | 0.0241230 | + | 0.0302493i | ||||
\(471\) | −5.95380 | − | 10.3123i | −0.274336 | − | 0.475165i | ||||
\(472\) | −5.63046 | + | 9.75224i | −0.259163 | + | 0.448883i | ||||
\(473\) | 0.419090 | − | 0.0631676i | 0.0192698 | − | 0.00290445i | ||||
\(474\) | −1.20722 | + | 1.12014i | −0.0554495 | + | 0.0514496i | ||||
\(475\) | −64.3883 | − | 31.0078i | −2.95434 | − | 1.42274i | ||||
\(476\) | 8.00380 | + | 6.09977i | 0.366854 | + | 0.279583i | ||||
\(477\) | 12.8732 | − | 6.19938i | 0.589421 | − | 0.283850i | ||||
\(478\) | −12.7755 | + | 32.5514i | −0.584336 | + | 1.48886i | ||||
\(479\) | −1.58175 | + | 21.1069i | −0.0722718 | + | 0.964400i | 0.836732 | + | 0.547612i | \(0.184463\pi\) |
−0.909004 | + | 0.416788i | \(0.863156\pi\) | |||||||
\(480\) | 19.5379 | + | 6.02664i | 0.891778 | + | 0.275077i | ||||
\(481\) | −0.492690 | − | 6.57450i | −0.0224647 | − | 0.299771i | ||||
\(482\) | 5.83440 | − | 25.5622i | 0.265750 | − | 1.16433i | ||||
\(483\) | −4.59929 | − | 2.52221i | −0.209275 | − | 0.114764i | ||||
\(484\) | 2.78040 | + | 12.1817i | 0.126382 | + | 0.553716i | ||||
\(485\) | 43.8613 | − | 13.5294i | 1.99164 | − | 0.614340i | ||||
\(486\) | 10.4825 | + | 26.7091i | 0.475498 | + | 1.21155i | ||||
\(487\) | 5.17642 | + | 4.80301i | 0.234566 | + | 0.217645i | 0.788694 | − | 0.614786i | \(-0.210758\pi\) |
−0.554128 | + | 0.832432i | \(0.686948\pi\) | |||||||
\(488\) | 11.1566 | + | 7.60644i | 0.505035 | + | 0.344327i | ||||
\(489\) | 10.4787 | 0.473861 | ||||||||
\(490\) | −41.9493 | + | 22.5254i | −1.89507 | + | 1.01760i | ||||
\(491\) | 9.14179 | 0.412563 | 0.206281 | − | 0.978493i | \(-0.433864\pi\) | ||||
0.206281 | + | 0.978493i | \(0.433864\pi\) | |||||||
\(492\) | 9.19418 | + | 6.26849i | 0.414506 | + | 0.282605i | ||||
\(493\) | −19.7999 | − | 18.3716i | −0.891741 | − | 0.827414i | ||||
\(494\) | 4.79841 | + | 12.2261i | 0.215890 | + | 0.550080i | ||||
\(495\) | 3.37621 | − | 1.04142i | 0.151750 | − | 0.0468085i | ||||
\(496\) | −11.5198 | − | 50.4713i | −0.517252 | − | 2.26623i | ||||
\(497\) | 0.154205 | − | 0.541960i | 0.00691706 | − | 0.0243102i | ||||
\(498\) | 4.00400 | − | 17.5427i | 0.179423 | − | 0.786106i | ||||
\(499\) | 1.74810 | + | 23.3267i | 0.0782556 | + | 1.04425i | 0.888717 | + | 0.458456i | \(0.151597\pi\) |
−0.810461 | + | 0.585792i | \(0.800784\pi\) | |||||||
\(500\) | −19.7168 | − | 6.08184i | −0.881763 | − | 0.271988i | ||||
\(501\) | 0.670305 | − | 8.94460i | 0.0299470 | − | 0.399615i | ||||
\(502\) | 15.1626 | − | 38.6336i | 0.676738 | − | 1.72430i | ||||
\(503\) | −15.5705 | + | 7.49837i | −0.694255 | + | 0.334336i | −0.747515 | − | 0.664245i | \(-0.768753\pi\) |
0.0532597 | + | 0.998581i | \(0.483039\pi\) | |||||||
\(504\) | −8.33071 | + | 2.09519i | −0.371080 | + | 0.0933272i | ||||
\(505\) | −1.14871 | − | 0.553191i | −0.0511170 | − | 0.0246167i | ||||
\(506\) | 1.20362 | − | 1.11680i | 0.0535076 | − | 0.0496478i | ||||
\(507\) | −0.904541 | + | 0.136338i | −0.0401721 | + | 0.00605496i | ||||
\(508\) | −0.453203 | + | 0.784971i | −0.0201076 | + | 0.0348274i | ||||
\(509\) | −4.50033 | − | 7.79480i | −0.199474 | − | 0.345498i | 0.748884 | − | 0.662701i | \(-0.230590\pi\) |
−0.948358 | + | 0.317202i | \(0.897257\pi\) | |||||||
\(510\) | 12.7755 | + | 16.0199i | 0.565708 | + | 0.709375i | ||||
\(511\) | −6.52225 | + | 10.0335i | −0.288527 | + | 0.443858i | ||||
\(512\) | 8.79520 | − | 11.0288i | 0.388696 | − | 0.487410i | ||||
\(513\) | 34.5340 | + | 5.20516i | 1.52471 | + | 0.229813i | ||||
\(514\) | 16.3111 | − | 11.1208i | 0.719454 | − | 0.490515i | ||||
\(515\) | −27.8567 | + | 18.9924i | −1.22751 | + | 0.836904i | ||||
\(516\) | 1.03818 | + | 0.156481i | 0.0457034 | + | 0.00688869i | ||||
\(517\) | −0.0327918 | + | 0.0411196i | −0.00144218 | + | 0.00180844i | ||||
\(518\) | −16.8864 | + | 25.9772i | −0.741944 | + | 1.14137i | ||||
\(519\) | −3.42873 | − | 4.29949i | −0.150504 | − | 0.188727i | ||||
\(520\) | −2.87383 | − | 4.97762i | −0.126026 | − | 0.218283i | ||||
\(521\) | −9.35743 | + | 16.2075i | −0.409957 | + | 0.710066i | −0.994884 | − | 0.101020i | \(-0.967789\pi\) |
0.584928 | + | 0.811085i | \(0.301123\pi\) | |||||||
\(522\) | −31.1637 | + | 4.69717i | −1.36400 | + | 0.205590i | ||||
\(523\) | −19.2522 | + | 17.8635i | −0.841842 | + | 0.781115i | −0.977787 | − | 0.209602i | \(-0.932783\pi\) |
0.135945 | + | 0.990716i | \(0.456593\pi\) | |||||||
\(524\) | 11.7822 | + | 5.67403i | 0.514710 | + | 0.247871i | ||||
\(525\) | −22.6849 | + | 5.70529i | −0.990049 | + | 0.248999i | ||||
\(526\) | −39.2719 | + | 18.9123i | −1.71233 | + | 0.824617i | ||||
\(527\) | 12.5168 | − | 31.8923i | 0.545241 | − | 1.38925i | ||||
\(528\) | −0.145079 | + | 1.93595i | −0.00631376 | + | 0.0842513i | ||||
\(529\) | −17.4894 | − | 5.39478i | −0.760411 | − | 0.234556i | ||||
\(530\) | −3.35746 | − | 44.8022i | −0.145839 | − | 1.94608i | ||||
\(531\) | −3.61155 | + | 15.8232i | −0.156728 | + | 0.686670i | ||||
\(532\) | 6.18388 | − | 21.7335i | 0.268105 | − | 0.942265i | ||||
\(533\) | −2.34361 | − | 10.2680i | −0.101513 | − | 0.444758i | ||||
\(534\) | −12.2094 | + | 3.76610i | −0.528352 | + | 0.162975i | ||||
\(535\) | −15.6389 | − | 39.8472i | −0.676127 | − | 1.72274i | ||||
\(536\) | −12.0429 | − | 11.1741i | −0.520172 | − | 0.482649i | ||||
\(537\) | 2.87931 | + | 1.96308i | 0.124251 | + | 0.0847130i | ||||
\(538\) | 48.3477 | 2.08442 | ||||||||
\(539\) | −1.96229 | − | 2.25009i | −0.0845219 | − | 0.0969181i | ||||
\(540\) | 20.8907 | 0.898993 | ||||||||
\(541\) | 11.8750 | + | 8.09626i | 0.510547 | + | 0.348085i | 0.791034 | − | 0.611773i | \(-0.209543\pi\) |
−0.280486 | + | 0.959858i | \(0.590496\pi\) | |||||||
\(542\) | 39.8729 | + | 36.9967i | 1.71269 | + | 1.58914i | ||||
\(543\) | −8.29578 | − | 21.1373i | −0.356006 | − | 0.907089i | ||||
\(544\) | 18.3667 | − | 5.66539i | 0.787468 | − | 0.242902i | ||||
\(545\) | 9.87307 | + | 43.2567i | 0.422916 | + | 1.85292i | ||||
\(546\) | 3.76931 | + | 2.06705i | 0.161311 | + | 0.0884617i | ||||
\(547\) | 4.21612 | − | 18.4720i | 0.180268 | − | 0.789808i | −0.801233 | − | 0.598353i | \(-0.795822\pi\) |
0.981501 | − | 0.191455i | \(-0.0613206\pi\) | |||||||
\(548\) | 0.991001 | + | 13.2240i | 0.0423335 | + | 0.564901i | ||||
\(549\) | 18.5968 | + | 5.73636i | 0.793694 | + | 0.244822i | ||||
\(550\) | 0.547168 | − | 7.30146i | 0.0233313 | − | 0.311335i | ||||
\(551\) | −22.1576 | + | 56.4567i | −0.943946 | + | 2.40513i | ||||
\(552\) | −2.68100 | + | 1.29110i | −0.114111 | + | 0.0549529i | ||||
\(553\) | −2.13282 | − | 1.62544i | −0.0906968 | − | 0.0691209i | ||||
\(554\) | 43.1711 | + | 20.7901i | 1.83417 | + | 0.883287i | ||||
\(555\) | −16.9301 | + | 15.7088i | −0.718643 | + | 0.666803i | ||||
\(556\) | 10.2718 | − | 1.54823i | 0.435622 | − | 0.0656594i | ||||
\(557\) | 1.79991 | − | 3.11753i | 0.0762645 | − | 0.132094i | −0.825371 | − | 0.564591i | \(-0.809034\pi\) |
0.901635 | + | 0.432497i | \(0.142367\pi\) | |||||||
\(558\) | −19.9878 | − | 34.6199i | −0.846151 | − | 1.46558i | ||||
\(559\) | −0.619568 | − | 0.776913i | −0.0262049 | − | 0.0328599i | ||||
\(560\) | −6.41599 | + | 50.0059i | −0.271125 | + | 2.11314i | ||||
\(561\) | −0.801054 | + | 1.00449i | −0.0338205 | + | 0.0424096i | ||||
\(562\) | −13.0200 | − | 1.96245i | −0.549215 | − | 0.0827809i | ||||
\(563\) | 28.6897 | − | 19.5603i | 1.20913 | − | 0.824369i | 0.220592 | − | 0.975366i | \(-0.429201\pi\) |
0.988534 | + | 0.150998i | \(0.0482485\pi\) | |||||||
\(564\) | −0.107649 | + | 0.0733935i | −0.00453282 | + | 0.00309042i | ||||
\(565\) | −9.72955 | − | 1.46649i | −0.409325 | − | 0.0616959i | ||||
\(566\) | 13.5222 | − | 16.9563i | 0.568379 | − | 0.712724i | ||||
\(567\) | −4.90589 | + | 2.97814i | −0.206028 | + | 0.125070i | ||||
\(568\) | −0.199298 | − | 0.249912i | −0.00836237 | − | 0.0104861i | ||||
\(569\) | 14.6127 | + | 25.3100i | 0.612598 | + | 1.06105i | 0.990801 | + | 0.135328i | \(0.0432089\pi\) |
−0.378203 | + | 0.925723i | \(0.623458\pi\) | |||||||
\(570\) | 23.0046 | − | 39.8451i | 0.963557 | − | 1.66893i | ||||
\(571\) | −7.46813 | + | 1.12564i | −0.312532 | + | 0.0471066i | −0.303435 | − | 0.952852i | \(-0.598134\pi\) |
−0.00909635 | + | 0.999959i | \(0.502895\pi\) | |||||||
\(572\) | −0.361116 | + | 0.335067i | −0.0150990 | + | 0.0140098i | ||||
\(573\) | 3.29755 | + | 1.58802i | 0.137757 | + | 0.0663404i | ||||
\(574\) | −20.4894 | + | 45.0553i | −0.855212 | + | 1.88057i | ||||
\(575\) | 18.8729 | − | 9.08871i | 0.787055 | − | 0.379026i | ||||
\(576\) | 0.328303 | − | 0.836502i | 0.0136793 | − | 0.0348542i | ||||
\(577\) | 2.60316 | − | 34.7368i | 0.108371 | − | 1.44611i | −0.632550 | − | 0.774520i | \(-0.717992\pi\) |
0.740921 | − | 0.671592i | \(-0.234389\pi\) | |||||||
\(578\) | −10.4482 | − | 3.22284i | −0.434587 | − | 0.134052i | ||||
\(579\) | 1.80630 | + | 24.1034i | 0.0750674 | + | 1.00170i | ||||
\(580\) | −8.07279 | + | 35.3692i | −0.335204 | + | 1.46863i | ||||
\(581\) | 29.2590 | + | 1.54654i | 1.21387 | + | 0.0641611i | ||||
\(582\) | 4.33366 | + | 18.9870i | 0.179636 | + | 0.787037i | ||||
\(583\) | 2.69193 | − | 0.830351i | 0.111488 | − | 0.0343896i | ||||
\(584\) | 2.48022 | + | 6.31950i | 0.102632 | + | 0.261503i | ||||
\(585\) | −6.07261 | − | 5.63456i | −0.251071 | − | 0.232960i | ||||
\(586\) | 18.5195 | + | 12.6264i | 0.765033 | + | 0.521591i | ||||
\(587\) | −24.8910 | −1.02736 | −0.513681 | − | 0.857982i | \(-0.671718\pi\) | ||||
−0.513681 | + | 0.857982i | \(0.671718\pi\) | |||||||
\(588\) | −3.00213 | − | 6.75917i | −0.123806 | − | 0.278744i | ||||
\(589\) | −76.9294 | −3.16982 | ||||||||
\(590\) | 42.1666 | + | 28.7487i | 1.73597 | + | 1.18357i | ||||
\(591\) | 1.96975 | + | 1.82766i | 0.0810246 | + | 0.0751799i | ||||
\(592\) | 11.9855 | + | 30.5385i | 0.492600 | + | 1.25512i | ||||
\(593\) | −22.0694 | + | 6.80752i | −0.906283 | + | 0.279551i | −0.712648 | − | 0.701522i | \(-0.752504\pi\) |
−0.193636 | + | 0.981074i | \(0.562028\pi\) | |||||||
\(594\) | 0.796203 | + | 3.48839i | 0.0326686 | + | 0.143130i | ||||
\(595\) | −22.1506 | + | 24.9514i | −0.908085 | + | 1.02291i | ||||
\(596\) | −1.97142 | + | 8.63736i | −0.0807526 | + | 0.353800i | ||||
\(597\) | −0.197367 | − | 2.63368i | −0.00807770 | − | 0.107789i | ||||
\(598\) | −3.67870 | − | 1.13473i | −0.150433 | − | 0.0464025i | ||||
\(599\) | 1.32901 | − | 17.7345i | 0.0543020 | − | 0.724610i | −0.901908 | − | 0.431928i | \(-0.857833\pi\) |
0.956210 | − | 0.292682i | \(-0.0945476\pi\) | |||||||
\(600\) | −4.84792 | + | 12.3523i | −0.197915 | + | 0.504280i | ||||
\(601\) | −16.3820 | + | 7.88913i | −0.668234 | + | 0.321804i | −0.737063 | − | 0.675824i | \(-0.763788\pi\) |
0.0688292 | + | 0.997628i | \(0.478074\pi\) | |||||||
\(602\) | 0.102693 | + | 4.66878i | 0.00418547 | + | 0.190285i | ||||
\(603\) | −21.3331 | − | 10.2735i | −0.868750 | − | 0.418368i | ||||
\(604\) | −6.72579 | + | 6.24062i | −0.273668 | + | 0.253927i | ||||
\(605\) | −40.9650 | + | 6.17448i | −1.66546 | + | 0.251028i | ||||
\(606\) | 0.270482 | − | 0.468488i | 0.0109876 | − | 0.0190310i | ||||
\(607\) | −0.448655 | − | 0.777093i | −0.0182103 | − | 0.0315412i | 0.856777 | − | 0.515688i | \(-0.172464\pi\) |
−0.874987 | + | 0.484146i | \(0.839130\pi\) | |||||||
\(608\) | −26.9088 | − | 33.7426i | −1.09130 | − | 1.36844i | ||||
\(609\) | 6.26689 | + | 18.8358i | 0.253947 | + | 0.763264i | ||||
\(610\) | 38.1544 | − | 47.8441i | 1.54483 | − | 1.93715i | ||||
\(611\) | 0.121936 | + | 0.0183789i | 0.00493300 | + | 0.000743531i | ||||
\(612\) | 6.79819 | − | 4.63493i | 0.274801 | − | 0.187356i | ||||
\(613\) | −0.144411 | + | 0.0984580i | −0.00583272 | + | 0.00397668i | −0.566233 | − | 0.824245i | \(-0.691600\pi\) |
0.560400 | + | 0.828222i | \(0.310647\pi\) | |||||||
\(614\) | −16.2342 | − | 2.44692i | −0.655160 | − | 0.0987495i | ||||
\(615\) | −23.0033 | + | 28.8453i | −0.927584 | + | 1.16315i | ||||
\(616\) | −1.68573 | + | 0.163677i | −0.0679200 | + | 0.00659473i | ||||
\(617\) | 15.4449 | + | 19.3673i | 0.621788 | + | 0.779697i | 0.988595 | − | 0.150600i | \(-0.0481204\pi\) |
−0.366807 | + | 0.930297i | \(0.619549\pi\) | |||||||
\(618\) | −7.15254 | − | 12.3886i | −0.287717 | − | 0.498341i | ||||
\(619\) | −7.63986 | + | 13.2326i | −0.307072 | + | 0.531864i | −0.977720 | − | 0.209911i | \(-0.932683\pi\) |
0.670649 | + | 0.741775i | \(0.266016\pi\) | |||||||
\(620\) | −45.5033 | + | 6.85852i | −1.82746 | + | 0.275445i | ||||
\(621\) | −7.50397 | + | 6.96266i | −0.301124 | + | 0.279402i | ||||
\(622\) | −34.3708 | − | 16.5521i | −1.37814 | − | 0.663678i | ||||
\(623\) | −9.43708 | − | 18.5418i | −0.378089 | − | 0.742863i | ||||
\(624\) | 4.10104 | − | 1.97496i | 0.164173 | − | 0.0790615i | ||||
\(625\) | 7.33840 | − | 18.6980i | 0.293536 | − | 0.747918i | ||||
\(626\) | −3.36997 | + | 44.9691i | −0.134691 | + | 1.79733i | ||||
\(627\) | 2.75673 | + | 0.850337i | 0.110093 | + | 0.0339592i | ||||
\(628\) | 1.12357 | + | 14.9930i | 0.0448353 | + | 0.598285i | ||||
\(629\) | −4.83115 | + | 21.1666i | −0.192631 | + | 0.843970i | ||||
\(630\) | 6.64743 | + | 38.3588i | 0.264840 | + | 1.52825i | ||||
\(631\) | 4.67339 | + | 20.4755i | 0.186045 | + | 0.815116i | 0.978675 | + | 0.205413i | \(0.0658539\pi\) |
−0.792630 | + | 0.609702i | \(0.791289\pi\) | |||||||
\(632\) | −1.45365 | + | 0.448392i | −0.0578232 | + | 0.0178361i | ||||
\(633\) | −3.43449 | − | 8.75093i | −0.136509 | − | 0.347818i | ||||
\(634\) | −6.02458 | − | 5.59000i | −0.239267 | − | 0.222007i | ||||
\(635\) | −2.48303 | − | 1.69290i | −0.0985361 | − | 0.0671808i | ||||
\(636\) | 6.97858 | 0.276719 | ||||||||
\(637\) | −2.26840 | + | 6.62226i | −0.0898772 | + | 0.262384i | ||||
\(638\) | −6.21373 | −0.246004 | ||||||||
\(639\) | −0.380653 | − | 0.259524i | −0.0150584 | − | 0.0102666i | ||||
\(640\) | 30.6983 | + | 28.4839i | 1.21346 | + | 1.12593i | ||||
\(641\) | −18.0773 | − | 46.0603i | −0.714012 | − | 1.81927i | −0.554710 | − | 0.832043i | \(-0.687171\pi\) |
−0.159302 | − | 0.987230i | \(-0.550924\pi\) | |||||||
\(642\) | 17.3555 | − | 5.35346i | 0.684966 | − | 0.211284i | ||||
\(643\) | 6.28596 | + | 27.5406i | 0.247894 | + | 1.08609i | 0.933628 | + | 0.358243i | \(0.116624\pi\) |
−0.685734 | + | 0.727852i | \(0.740519\pi\) | |||||||
\(644\) | 3.85039 | + | 5.38894i | 0.151727 | + | 0.212354i | ||||
\(645\) | −0.774598 | + | 3.39374i | −0.0304998 | + | 0.133628i | ||||
\(646\) | −3.23218 | − | 43.1304i | −0.127168 | − | 1.69694i | ||||
\(647\) | −21.1193 | − | 6.51443i | −0.830284 | − | 0.256109i | −0.149656 | − | 0.988738i | \(-0.547817\pi\) |
−0.680628 | + | 0.732629i | \(0.738293\pi\) | |||||||
\(648\) | −0.243299 | + | 3.24660i | −0.00955768 | + | 0.127538i | ||||
\(649\) | −1.16909 | + | 2.97878i | −0.0458907 | + | 0.116927i | ||||
\(650\) | −15.4671 | + | 7.44858i | −0.606671 | + | 0.292157i | ||||
\(651\) | −19.3362 | + | 16.1284i | −0.757847 | + | 0.632120i | ||||
\(652\) | −11.9205 | − | 5.74063i | −0.466844 | − | 0.224820i | ||||
\(653\) | 14.5550 | − | 13.5050i | 0.569580 | − | 0.528493i | −0.341955 | − | 0.939716i | \(-0.611089\pi\) |
0.911534 | + | 0.411224i | \(0.134898\pi\) | |||||||
\(654\) | −18.6153 | + | 2.80580i | −0.727915 | + | 0.109716i | ||||
\(655\) | −21.6791 | + | 37.5494i | −0.847074 | + | 1.46718i | ||||
\(656\) | 26.2037 | + | 45.3862i | 1.02308 | + | 1.77203i | ||||
\(657\) | 6.10057 | + | 7.64987i | 0.238006 | + | 0.298450i | ||||
\(658\) | −0.403412 | − | 0.416039i | −0.0157266 | − | 0.0162189i | ||||
\(659\) | 17.6828 | − | 22.1735i | 0.688824 | − | 0.863758i | −0.307309 | − | 0.951610i | \(-0.599429\pi\) |
0.996134 | + | 0.0878514i | \(0.0280001\pi\) | |||||||
\(660\) | 1.70640 | + | 0.257198i | 0.0664214 | + | 0.0100114i | ||||
\(661\) | 32.1011 | − | 21.8862i | 1.24859 | − | 0.851273i | 0.255291 | − | 0.966864i | \(-0.417829\pi\) |
0.993297 | + | 0.115592i | \(0.0368764\pi\) | |||||||
\(662\) | 21.5385 | − | 14.6847i | 0.837116 | − | 0.570736i | ||||
\(663\) | 2.97872 | + | 0.448969i | 0.115684 | + | 0.0174365i | ||||
\(664\) | 10.3633 | − | 12.9951i | 0.402173 | − | 0.504309i | ||||
\(665\) | 70.3244 | + | 25.8305i | 2.72706 | + | 1.00166i | ||||
\(666\) | 15.7946 | + | 19.8058i | 0.612029 | + | 0.767460i | ||||
\(667\) | −8.88845 | − | 15.3952i | −0.344162 | − | 0.596106i | ||||
\(668\) | −5.66275 | + | 9.80817i | −0.219098 | + | 0.379490i | ||||
\(669\) | 12.5671 | − | 1.89419i | 0.485874 | − | 0.0732336i | ||||
\(670\) | −54.5782 | + | 50.6411i | −2.10854 | + | 1.95644i | ||||
\(671\) | 3.45709 | + | 1.66485i | 0.133459 | + | 0.0642706i | ||||
\(672\) | −13.8377 | − | 2.83974i | −0.533802 | − | 0.109545i | ||||
\(673\) | 0.727399 | − | 0.350297i | 0.0280392 | − | 0.0135029i | −0.419812 | − | 0.907611i | \(-0.637904\pi\) |
0.447851 | + | 0.894108i | \(0.352190\pi\) | |||||||
\(674\) | 3.58774 | − | 9.14140i | 0.138194 | − | 0.352114i | ||||
\(675\) | −3.41131 | + | 45.5208i | −0.131301 | + | 1.75210i | ||||
\(676\) | 1.10370 | + | 0.340446i | 0.0424499 | + | 0.0130941i | ||||
\(677\) | −0.181045 | − | 2.41588i | −0.00695814 | − | 0.0928499i | 0.992643 | − | 0.121074i | \(-0.0386338\pi\) |
−0.999602 | + | 0.0282241i | \(0.991015\pi\) | |||||||
\(678\) | 0.928984 | − | 4.07014i | 0.0356774 | − | 0.156313i | ||||
\(679\) | −29.2582 | + | 12.2321i | −1.12283 | + | 0.469426i | ||||
\(680\) | 4.21176 | + | 18.4529i | 0.161514 | + | 0.707637i | ||||
\(681\) | −10.1031 | + | 3.11641i | −0.387153 | + | 0.119421i | ||||
\(682\) | −2.87951 | − | 7.33688i | −0.110262 | − | 0.280944i | ||||
\(683\) | −0.568958 | − | 0.527916i | −0.0217706 | − | 0.0202001i | 0.669212 | − | 0.743071i | \(-0.266632\pi\) |
−0.690983 | + | 0.722871i | \(0.742822\pi\) | |||||||
\(684\) | −15.2648 | − | 10.4073i | −0.583663 | − | 0.397935i | ||||
\(685\) | −43.9676 | −1.67992 | ||||||||
\(686\) | 27.3427 | − | 18.2906i | 1.04395 | − | 0.698340i | ||||
\(687\) | −4.73463 | −0.180637 | ||||||||
\(688\) | 4.08548 | + | 2.78543i | 0.155757 | + | 0.106194i | ||||
\(689\) | −4.84183 | − | 4.49256i | −0.184459 | − | 0.171153i | ||||
\(690\) | 4.92691 | + | 12.5536i | 0.187564 | + | 0.477906i | ||||
\(691\) | −22.8695 | + | 7.05430i | −0.869996 | + | 0.268358i | −0.697442 | − | 0.716642i | \(-0.745678\pi\) |
−0.172555 | + | 0.985000i | \(0.555202\pi\) | |||||||
\(692\) | 1.54509 | + | 6.76950i | 0.0587357 | + | 0.257338i | ||||
\(693\) | −2.25214 | + | 0.941566i | −0.0855517 | + | 0.0357671i | ||||
\(694\) | −11.9354 | + | 52.2924i | −0.453061 | + | 1.98499i | ||||
\(695\) | 2.57380 | + | 34.3449i | 0.0976297 | + | 1.30278i | ||||
\(696\) | 10.7609 | + | 3.31929i | 0.407890 | + | 0.125817i | ||||
\(697\) | −2.59186 | + | 34.5860i | −0.0981737 | + | 1.31004i | ||||
\(698\) | 18.1759 | − | 46.3115i | 0.687969 | − | 1.75292i | ||||
\(699\) | 8.97107 | − | 4.32024i | 0.339317 | − | 0.163406i | ||||
\(700\) | 28.9319 | + | 5.93733i | 1.09352 | + | 0.224410i | ||||
\(701\) | −34.2488 | − | 16.4934i | −1.29356 | − | 0.622946i | −0.344721 | − | 0.938705i | \(-0.612027\pi\) |
−0.948839 | + | 0.315759i | \(0.897741\pi\) | |||||||
\(702\) | 6.14981 | − | 5.70619i | 0.232110 | − | 0.215366i | ||||
\(703\) | 48.2057 | − | 7.26584i | 1.81811 | − | 0.274036i | ||||
\(704\) | 0.0885873 | − | 0.153438i | 0.00333876 | − | 0.00578290i | ||||
\(705\) | −0.215986 | − | 0.374099i | −0.00813452 | − | 0.0140894i | ||||
\(706\) | −18.8317 | − | 23.6142i | −0.708740 | − | 0.888731i | ||||
\(707\) | 0.826855 | + | 0.303707i | 0.0310971 | + | 0.0114221i | ||||
\(708\) | −4.94247 | + | 6.19767i | −0.185750 | + | 0.232923i | ||||
\(709\) | −10.8907 | − | 1.64151i | −0.409010 | − | 0.0616483i | −0.0586848 | − | 0.998277i | \(-0.518691\pi\) |
−0.350325 | + | 0.936628i | \(0.613929\pi\) | |||||||
\(710\) | −1.19693 | + | 0.816054i | −0.0449200 | + | 0.0306259i | ||||
\(711\) | −1.81156 | + | 1.23510i | −0.0679386 | + | 0.0463198i | ||||
\(712\) | −11.6707 | − | 1.75907i | −0.437378 | − | 0.0659241i | ||||
\(713\) | 14.0590 | − | 17.6294i | 0.526512 | − | 0.660226i | ||||
\(714\) | −9.85476 | − | 10.1632i | −0.368805 | − | 0.380349i | ||||
\(715\) | −1.01835 | − | 1.27697i | −0.0380840 | − | 0.0477558i | ||||
\(716\) | −2.20005 | − | 3.81060i | −0.0822197 | − | 0.142409i | ||||
\(717\) | 9.00438 | − | 15.5960i | 0.336275 | − | 0.582445i | ||||
\(718\) | −37.8794 | + | 5.70941i | −1.41365 | + | 0.213073i | ||||
\(719\) | 9.78051 | − | 9.07499i | 0.364751 | − | 0.338440i | −0.476411 | − | 0.879223i | \(-0.658062\pi\) |
0.841162 | + | 0.540783i | \(0.181872\pi\) | |||||||
\(720\) | 37.1388 | + | 17.8851i | 1.38408 | + | 0.666539i | ||||
\(721\) | 17.8877 | − | 14.9202i | 0.666174 | − | 0.555656i | ||||
\(722\) | −57.0933 | + | 27.4947i | −2.12479 | + | 1.02325i | ||||
\(723\) | −4.93321 | + | 12.5696i | −0.183468 | + | 0.467469i | ||||
\(724\) | −2.14257 | + | 28.5906i | −0.0796280 | + | 1.06256i | ||||
\(725\) | −75.7512 | − | 23.3662i | −2.81333 | − | 0.867797i | ||||
\(726\) | −1.31357 | − | 17.5284i | −0.0487511 | − | 0.650538i | ||||
\(727\) | −8.62671 | + | 37.7961i | −0.319947 | + | 1.40178i | 0.517697 | + | 0.855564i | \(0.326789\pi\) |
−0.837644 | + | 0.546216i | \(0.816068\pi\) | |||||||
\(728\) | 2.30856 | + | 3.23101i | 0.0855608 | + | 0.119749i | ||||
\(729\) | −1.84004 | − | 8.06175i | −0.0681497 | − | 0.298583i | ||||
\(730\) | 29.3998 | − | 9.06865i | 1.08814 | − | 0.335646i | ||||
\(731\) | 1.19553 | + | 3.04615i | 0.0442181 | + | 0.112666i | ||||
\(732\) | 6.96790 | + | 6.46527i | 0.257541 | + | 0.238963i | ||||
\(733\) | 4.26072 | + | 2.90491i | 0.157373 | + | 0.107295i | 0.639446 | − | 0.768836i | \(-0.279164\pi\) |
−0.482073 | + | 0.876131i | \(0.660116\pi\) | |||||||
\(734\) | 37.5988 | 1.38780 | ||||||||
\(735\) | 23.0915 | − | 8.25111i | 0.851741 | − | 0.304347i | ||||
\(736\) | 12.6502 | 0.466292 | ||||||||
\(737\) | −3.85722 | − | 2.62981i | −0.142083 | − | 0.0968703i | ||||
\(738\) | 29.6654 | + | 27.5255i | 1.09200 | + | 1.01323i | ||||
\(739\) | −4.80370 | − | 12.2396i | −0.176707 | − | 0.450242i | 0.814889 | − | 0.579618i | \(-0.196798\pi\) |
−0.991596 | + | 0.129375i | \(0.958703\pi\) | |||||||
\(740\) | 27.8656 | − | 8.59541i | 1.02436 | − | 0.315974i | ||||
\(741\) | −1.50513 | − | 6.59442i | −0.0552925 | − | 0.242252i | ||||
\(742\) | 5.30014 | + | 30.5843i | 0.194574 | + | 1.12279i | ||||
\(743\) | 8.77150 | − | 38.4305i | 0.321795 | − | 1.40988i | −0.512561 | − | 0.858651i | \(-0.671303\pi\) |
0.834356 | − | 0.551226i | \(-0.185840\pi\) | |||||||
\(744\) | 1.06745 | + | 14.2441i | 0.0391346 | + | 0.522215i | ||||
\(745\) | −28.0690 | − | 8.65813i | −1.02837 | − | 0.317209i | ||||
\(746\) | 0.473414 | − | 6.31728i | 0.0173329 | − | 0.231292i | ||||
\(747\) | 8.75216 | − | 22.3001i | 0.320225 | − | 0.815920i | ||||
\(748\) | 1.46158 | − | 0.703860i | 0.0534407 | − | 0.0257357i | ||||
\(749\) | 13.4147 | + | 26.3570i | 0.490162 | + | 0.963062i | ||||
\(750\) | 26.1519 | + | 12.5941i | 0.954932 | + | 0.459871i | ||||
\(751\) | 27.1531 | − | 25.1944i | 0.990832 | − | 0.919358i | −0.00591237 | − | 0.999983i | \(-0.501882\pi\) |
0.996745 | + | 0.0806246i | \(0.0256915\pi\) | |||||||
\(752\) | −0.606750 | + | 0.0914529i | −0.0221259 | + | 0.00333494i | ||||
\(753\) | −10.6868 | + | 18.5102i | −0.389450 | + | 0.674548i | ||||
\(754\) | 7.28445 | + | 12.6170i | 0.265284 | + | 0.459485i | ||||
\(755\) | −18.9667 | − | 23.7835i | −0.690269 | − | 0.865570i | ||||
\(756\) | −14.3656 | + | 1.39484i | −0.522473 | + | 0.0507297i | ||||
\(757\) | −16.6387 | + | 20.8643i | −0.604745 | + | 0.758327i | −0.986109 | − | 0.166098i | \(-0.946883\pi\) |
0.381364 | + | 0.924425i | \(0.375455\pi\) | |||||||
\(758\) | −25.3372 | − | 3.81897i | −0.920289 | − | 0.138711i | ||||
\(759\) | −0.698662 | + | 0.476339i | −0.0253598 | + | 0.0172900i | ||||
\(760\) | 35.1152 | − | 23.9411i | 1.27376 | − | 0.868436i | ||||
\(761\) | 10.0623 | + | 1.51664i | 0.364757 | + | 0.0549782i | 0.328864 | − | 0.944377i | \(-0.393334\pi\) |
0.0358931 | + | 0.999356i | \(0.488572\pi\) | |||||||
\(762\) | 0.795010 | − | 0.996910i | 0.0288002 | − | 0.0361143i | ||||
\(763\) | −9.67745 | − | 29.0865i | −0.350347 | − | 1.05300i | ||||
\(764\) | −2.88132 | − | 3.61306i | −0.104243 | − | 0.130716i | ||||
\(765\) | 13.6399 | + | 23.6250i | 0.493152 | + | 0.854165i | ||||
\(766\) | 17.5903 | − | 30.4673i | 0.635564 | − | 1.10083i | ||||
\(767\) | 7.41899 | − | 1.11823i | 0.267884 | − | 0.0403770i | ||||
\(768\) | −13.5822 | + | 12.6025i | −0.490106 | + | 0.454752i | ||||
\(769\) | 42.5720 | + | 20.5016i | 1.53518 | + | 0.739306i | 0.994775 | − | 0.102096i | \(-0.0325548\pi\) |
0.540410 | + | 0.841402i | \(0.318269\pi\) | |||||||
\(770\) | 0.168791 | + | 7.67380i | 0.00608281 | + | 0.276544i | ||||
\(771\) | −9.15998 | + | 4.41121i | −0.329888 | + | 0.158866i | ||||
\(772\) | 11.1500 | − | 28.4097i | 0.401296 | − | 1.02249i | ||||
\(773\) | 0.942442 | − | 12.5760i | 0.0338973 | − | 0.452328i | −0.954270 | − | 0.298947i | \(-0.903365\pi\) |
0.988167 | − | 0.153381i | \(-0.0490162\pi\) | |||||||
\(774\) | 3.64858 | + | 1.12544i | 0.131146 | + | 0.0404530i | ||||
\(775\) | −7.51431 | − | 100.272i | −0.269922 | − | 3.60186i | ||||
\(776\) | −4.00313 | + | 17.5389i | −0.143704 | + | 0.629609i | ||||
\(777\) | 10.5932 | − | 11.9327i | 0.380030 | − | 0.428082i | ||||
\(778\) | −3.33828 | − | 14.6260i | −0.119683 | − | 0.524367i | ||||
\(779\) | 74.4178 | − | 22.9549i | 2.66630 | − | 0.822443i | ||||
\(780\) | −1.47819 | − | 3.76637i | −0.0529278 | − | 0.134858i | ||||
\(781\) | −0.0665860 | − | 0.0617828i | −0.00238264 | − | 0.00221076i | ||||
\(782\) | 10.4746 | + | 7.14145i | 0.374570 | + | 0.255378i | ||||
\(783\) | 38.7394 | 1.38443 | ||||||||
\(784\) | 1.07319 | − | 34.8153i | 0.0383281 | − | 1.24340i | ||||
\(785\) | −49.8492 | −1.77919 | ||||||||
\(786\) | −15.2000 | − | 10.3632i | −0.542167 | − | 0.369643i | ||||
\(787\) | 26.2676 | + | 24.3728i | 0.936340 | + | 0.868797i | 0.991556 | − | 0.129678i | \(-0.0413943\pi\) |
−0.0552162 | + | 0.998474i | \(0.517585\pi\) | |||||||
\(788\) | −1.23952 | − | 3.15826i | −0.0441562 | − | 0.112508i | ||||
\(789\) | 21.4507 | − | 6.61666i | 0.763664 | − | 0.235559i | ||||
\(790\) | 1.53411 | + | 6.72139i | 0.0545813 | + | 0.239136i | ||||
\(791\) | 6.78850 | + | 0.358818i | 0.241371 | + | 0.0127581i | ||||
\(792\) | −0.308140 | + | 1.35005i | −0.0109493 | + | 0.0479719i | ||||
\(793\) | −0.672311 | − | 8.97137i | −0.0238745 | − | 0.318583i | ||||
\(794\) | −40.7574 | − | 12.5720i | −1.44643 | − | 0.446164i | ||||
\(795\) | −1.72909 | + | 23.0731i | −0.0613244 | + | 0.818317i | ||||
\(796\) | −1.21831 | + | 3.10421i | −0.0431819 | + | 0.110026i | ||||
\(797\) | 24.8255 | − | 11.9554i | 0.879366 | − | 0.423480i | 0.0609730 | − | 0.998139i | \(-0.480580\pi\) |
0.818393 | + | 0.574659i | \(0.194865\pi\) | |||||||
\(798\) | −13.1589 | + | 28.9357i | −0.465819 | + | 1.02431i | ||||
\(799\) | −0.365865 | − | 0.176191i | −0.0129434 | − | 0.00623320i | ||||
\(800\) | 41.3525 | − | 38.3695i | 1.46203 | − | 1.35657i | ||||
\(801\) | −16.8208 | + | 2.53532i | −0.594333 | + | 0.0895813i | ||||
\(802\) | −18.1650 | + | 31.4628i | −0.641430 | + | 1.11099i | ||||
\(803\) | 0.964575 | + | 1.67069i | 0.0340391 | + | 0.0589575i | ||||
\(804\) | −7.21050 | − | 9.04168i | −0.254295 | − | 0.318875i | ||||
\(805\) | −18.7713 | + | 11.3952i | −0.661601 | + | 0.401628i | ||||
\(806\) | −11.5219 | + | 14.4480i | −0.405842 | + | 0.508909i | ||||
\(807\) | −24.6209 | − | 3.71100i | −0.866695 | − | 0.130633i | ||||
\(808\) | 0.412875 | − | 0.281493i | 0.0145249 | − | 0.00990289i | ||||
\(809\) | −12.6117 | + | 8.59853i | −0.443405 | + | 0.302308i | −0.764364 | − | 0.644785i | \(-0.776947\pi\) |
0.320959 | + | 0.947093i | \(0.395995\pi\) | |||||||
\(810\) | 14.5900 | + | 2.19909i | 0.512641 | + | 0.0772683i | ||||
\(811\) | −20.3493 | + | 25.5172i | −0.714559 | + | 0.896029i | −0.998016 | − | 0.0629563i | \(-0.979947\pi\) |
0.283457 | + | 0.958985i | \(0.408519\pi\) | |||||||
\(812\) | 3.18976 | − | 24.8609i | 0.111939 | − | 0.872445i | ||||
\(813\) | −17.4654 | − | 21.9009i | −0.612538 | − | 0.768099i | ||||
\(814\) | 2.49732 | + | 4.32549i | 0.0875311 | + | 0.151608i | ||||
\(815\) | 21.9336 | − | 37.9901i | 0.768301 | − | 1.33074i | ||||
\(816\) | −14.8220 | + | 2.23406i | −0.518874 | + | 0.0782077i | ||||
\(817\) | 5.38632 | − | 4.99777i | 0.188443 | − | 0.174850i | ||||
\(818\) | −54.0239 | − | 26.0165i | −1.88890 | − | 0.909647i | ||||
\(819\) | 4.55208 | + | 3.46918i | 0.159062 | + | 0.121223i | ||||
\(820\) | 41.9712 | − | 20.2123i | 1.46570 | − | 0.705843i | ||||
\(821\) | 0.287507 | − | 0.732556i | 0.0100341 | − | 0.0255664i | −0.925769 | − | 0.378090i | \(-0.876581\pi\) |
0.935803 | + | 0.352523i | \(0.114676\pi\) | |||||||
\(822\) | 1.39410 | − | 18.6030i | 0.0486249 | − | 0.648854i | ||||
\(823\) | 43.1869 | + | 13.3214i | 1.50540 | + | 0.464354i | 0.934288 | − | 0.356518i | \(-0.116036\pi\) |
0.571111 | + | 0.820873i | \(0.306512\pi\) | |||||||
\(824\) | −0.987485 | − | 13.1771i | −0.0344007 | − | 0.459045i | ||||
\(825\) | −0.839077 | + | 3.67624i | −0.0292129 | + | 0.127990i | ||||
\(826\) | −30.9156 | − | 16.9538i | −1.07569 | − | 0.589899i | ||||
\(827\) | −0.0609122 | − | 0.266874i | −0.00211813 | − | 0.00928011i | 0.973858 | − | 0.227158i | \(-0.0729435\pi\) |
−0.975976 | + | 0.217878i | \(0.930086\pi\) | |||||||
\(828\) | 5.17464 | − | 1.59617i | 0.179831 | − | 0.0554706i | ||||
\(829\) | −6.72252 | − | 17.1287i | −0.233483 | − | 0.594905i | 0.765329 | − | 0.643639i | \(-0.222576\pi\) |
−0.998812 | + | 0.0487347i | \(0.984481\pi\) | |||||||
\(830\) | −55.2194 | − | 51.2361i | −1.91669 | − | 1.77843i | ||||
\(831\) | −20.3889 | − | 13.9009i | −0.707284 | − | 0.482218i | ||||
\(832\) | −0.415409 | −0.0144017 | ||||||||
\(833\) | 13.5660 | − | 18.6369i | 0.470035 | − | 0.645731i | ||||
\(834\) | −14.6132 | −0.506013 | ||||||||
\(835\) | −31.0254 | − | 21.1527i | −1.07368 | − | 0.732020i | ||||
\(836\) | −2.67021 | − | 2.47759i | −0.0923510 | − | 0.0856892i | ||||
\(837\) | 17.9523 | + | 45.7416i | 0.620521 | + | 1.58106i | ||||
\(838\) | −12.8482 | + | 3.96313i | −0.443832 | + | 0.136904i | ||||
\(839\) | −2.64448 | − | 11.5862i | −0.0912978 | − | 0.400002i | 0.908544 | − | 0.417789i | \(-0.137195\pi\) |
−0.999842 | + | 0.0177875i | \(0.994338\pi\) | |||||||
\(840\) | 3.80693 | − | 13.3796i | 0.131351 | − | 0.461639i | ||||
\(841\) | −8.51695 | + | 37.3152i | −0.293688 | + | 1.28673i | ||||
\(842\) | −1.65593 | − | 22.0969i | −0.0570672 | − | 0.761509i | ||||
\(843\) | 6.47975 | + | 1.99874i | 0.223174 | + | 0.0688402i | ||||
\(844\) | −0.887032 | + | 11.8366i | −0.0305329 | + | 0.407433i | ||||
\(845\) | −1.39907 | + | 3.56477i | −0.0481294 | + | 0.122632i | ||||
\(846\) | −0.426895 | + | 0.205582i | −0.0146769 | + | 0.00706804i | ||||
\(847\) | 27.7576 | − | 6.98108i | 0.953761 | − | 0.239873i | ||||
\(848\) | 29.6116 | + | 14.2602i | 1.01687 | + | 0.489698i | ||||
\(849\) | −8.18761 | + | 7.59699i | −0.280998 | + | 0.260728i | ||||
\(850\) | 55.9014 | − | 8.42578i | 1.91740 | − | 0.289002i | ||||
\(851\) | −7.14460 | + | 12.3748i | −0.244914 | + | 0.424203i | ||||
\(852\) | −0.112508 | − | 0.194870i | −0.00385448 | − | 0.00667615i | ||||
\(853\) | 19.6512 | + | 24.6418i | 0.672843 | + | 0.843719i | 0.994673 | − | 0.103079i | \(-0.0328694\pi\) |
−0.321830 | + | 0.946797i | \(0.604298\pi\) | |||||||
\(854\) | −23.0427 | + | 35.4478i | −0.788503 | + | 1.21300i | ||||
\(855\) | 38.1916 | − | 47.8908i | 1.30613 | − | 1.63783i | ||||
\(856\) | 16.5897 | + | 2.50050i | 0.567026 | + | 0.0854654i | ||||
\(857\) | −2.36073 | + | 1.60952i | −0.0806409 | + | 0.0549801i | −0.602969 | − | 0.797764i | \(-0.706016\pi\) |
0.522328 | + | 0.852744i | \(0.325064\pi\) | |||||||
\(858\) | 0.572582 | − | 0.390380i | 0.0195476 | − | 0.0133273i | ||||
\(859\) | −19.5756 | − | 2.95055i | −0.667911 | − | 0.100671i | −0.193670 | − | 0.981067i | \(-0.562039\pi\) |
−0.474241 | + | 0.880395i | \(0.657277\pi\) | |||||||
\(860\) | 2.74041 | − | 3.43636i | 0.0934472 | − | 0.117179i | ||||
\(861\) | 13.8924 | − | 21.3715i | 0.473453 | − | 0.728339i | ||||
\(862\) | 22.6504 | + | 28.4027i | 0.771477 | + | 0.967401i | ||||
\(863\) | 0.479507 | + | 0.830531i | 0.0163226 | + | 0.0282716i | 0.874071 | − | 0.485798i | \(-0.161471\pi\) |
−0.857749 | + | 0.514069i | \(0.828137\pi\) | |||||||
\(864\) | −13.7836 | + | 23.8740i | −0.468929 | + | 0.812209i | ||||
\(865\) | −22.7646 | + | 3.43121i | −0.774019 | + | 0.116665i | ||||
\(866\) | 47.2191 | − | 43.8130i | 1.60457 | − | 1.48882i | ||||
\(867\) | 5.07332 | + | 2.44318i | 0.172299 | + | 0.0829748i | ||||
\(868\) | 30.8327 | − | 7.75448i | 1.04653 | − | 0.263204i | ||||
\(869\) | −0.389476 | + | 0.187562i | −0.0132121 | + | 0.00636260i | ||||
\(870\) | 18.6454 | − | 47.5077i | 0.632138 | − | 1.61066i | ||||
\(871\) | −0.817973 | + | 10.9151i | −0.0277160 | + | 0.369844i | ||||
\(872\) | −16.6171 | − | 5.12571i | −0.562727 | − | 0.173578i | ||||
\(873\) | 1.93764 | + | 25.8560i | 0.0655793 | + | 0.875094i | ||||
\(874\) | 6.33431 | − | 27.7524i | 0.214261 | − | 0.938739i | ||||
\(875\) | −12.9349 | + | 45.4602i | −0.437280 | + | 1.53684i | ||||
\(876\) | 1.06342 | + | 4.65914i | 0.0359295 | + | 0.157418i | ||||
\(877\) | −5.06697 | + | 1.56295i | −0.171099 | + | 0.0527771i | −0.379121 | − | 0.925347i | \(-0.623774\pi\) |
0.208022 | + | 0.978124i | \(0.433297\pi\) | |||||||
\(878\) | 22.3609 | + | 56.9746i | 0.754644 | + | 1.92280i | ||||
\(879\) | −8.46182 | − | 7.85142i | −0.285410 | − | 0.264822i | ||||
\(880\) | 6.71505 | + | 4.57824i | 0.226364 | + | 0.154333i | ||||
\(881\) | −21.4733 | −0.723452 | −0.361726 | − | 0.932284i | \(-0.617812\pi\) | ||||
−0.361726 | + | 0.932284i | \(0.617812\pi\) | |||||||
\(882\) | −7.13229 | − | 25.9338i | −0.240157 | − | 0.873237i | ||||
\(883\) | 14.0770 | 0.473728 | 0.236864 | − | 0.971543i | \(-0.423880\pi\) | ||||
0.236864 | + | 0.971543i | \(0.423880\pi\) | |||||||
\(884\) | −3.14263 | − | 2.14261i | −0.105698 | − | 0.0720637i | ||||
\(885\) | −19.2665 | − | 17.8767i | −0.647637 | − | 0.600920i | ||||
\(886\) | −0.357899 | − | 0.911912i | −0.0120239 | − | 0.0306363i | ||||
\(887\) | 14.8661 | − | 4.58559i | 0.499155 | − | 0.153969i | −0.0349466 | − | 0.999389i | \(-0.511126\pi\) |
0.534102 | + | 0.845420i | \(0.320650\pi\) | |||||||
\(888\) | −2.01422 | − | 8.82487i | −0.0675928 | − | 0.296143i | ||||
\(889\) | 1.82050 | + | 0.998347i | 0.0610577 | + | 0.0334835i | ||||
\(890\) | −11.9024 | + | 52.1479i | −0.398970 | + | 1.74800i | ||||
\(891\) | 0.0691377 | + | 0.922578i | 0.00231620 | + | 0.0309075i | ||||
\(892\) | −15.3341 | − | 4.72994i | −0.513424 | − | 0.158370i | ||||
\(893\) | −0.0681402 | + | 0.909268i | −0.00228023 | + | 0.0304275i | ||||
\(894\) | 4.55331 | − | 11.6016i | 0.152285 | − | 0.388017i | ||||
\(895\) | 13.1440 | − | 6.32980i | 0.439354 | − | 0.211582i | ||||
\(896\) | −23.0117 | − | 17.5375i | −0.768768 | − | 0.585885i | ||||
\(897\) | 1.78626 | + | 0.860219i | 0.0596416 | + | 0.0287219i | ||||
\(898\) | −8.30679 | + | 7.70757i | −0.277201 | + | 0.257205i | ||||
\(899\) | −84.3806 | + | 12.7183i | −2.81425 | + | 0.424180i | ||||
\(900\) | 12.0741 | − | 20.9130i | 0.402471 | − | 0.697101i | ||||
\(901\) | 10.8754 | + | 18.8368i | 0.362313 | + | 0.627544i | ||||
\(902\) | 4.97474 | + | 6.23813i | 0.165641 | + | 0.207707i | ||||
\(903\) | 0.306063 | − | 2.38544i | 0.0101851 | − | 0.0793825i | ||||
\(904\) | 2.40443 | − | 3.01505i | 0.0799700 | − | 0.100279i | ||||
\(905\) | −93.9973 | − | 14.1678i | −3.12457 | − | 0.470954i | ||||
\(906\) | 10.6643 | − | 7.27083i | 0.354299 | − | 0.241557i | ||||
\(907\) | 24.3331 | − | 16.5900i | 0.807968 | − | 0.550863i | −0.0874088 | − | 0.996173i | \(-0.527859\pi\) |
0.895377 | + | 0.445309i | \(0.146906\pi\) | |||||||
\(908\) | 13.2006 | + | 1.98968i | 0.438079 | + | 0.0660297i | ||||
\(909\) | 0.449046 | − | 0.563086i | 0.0148939 | − | 0.0186764i | ||||
\(910\) | 15.3838 | − | 9.33884i | 0.509969 | − | 0.309580i | ||||
\(911\) | −33.5207 | − | 42.0337i | −1.11059 | − | 1.39264i | −0.910824 | − | 0.412794i | \(-0.864553\pi\) |
−0.199767 | − | 0.979843i | \(-0.564019\pi\) | |||||||
\(912\) | 16.8288 | + | 29.1483i | 0.557256 | + | 0.965195i | ||||
\(913\) | 2.36163 | − | 4.09047i | 0.0781586 | − | 0.135375i | ||||
\(914\) | −10.3841 | + | 1.56515i | −0.343474 | + | 0.0517704i | ||||
\(915\) | −23.1023 | + | 21.4358i | −0.763740 | + | 0.708647i | ||||
\(916\) | 5.38612 | + | 2.59382i | 0.177962 | + | 0.0857022i | ||||
\(917\) | 12.4007 | − | 27.2685i | 0.409507 | − | 0.900487i | ||||
\(918\) | −24.8907 | + | 11.9867i | −0.821517 | + | 0.395622i | ||||
\(919\) | −12.3910 | + | 31.5719i | −0.408743 | + | 1.04146i | 0.567229 | + | 0.823560i | \(0.308016\pi\) |
−0.975971 | + | 0.217899i | \(0.930080\pi\) | |||||||
\(920\) | −0.930929 | + | 12.4224i | −0.0306918 | + | 0.409554i | ||||
\(921\) | 8.07940 | + | 2.49216i | 0.266225 | + | 0.0821196i | ||||
\(922\) | 1.15205 | + | 15.3730i | 0.0379407 | + | 0.506283i | ||||
\(923\) | −0.0473908 | + | 0.207632i | −0.00155989 | + | 0.00683431i | ||||
\(924\) | −1.19059 | − | 0.0629306i | −0.0391674 | − | 0.00207026i | ||||
\(925\) | 14.1791 | + | 62.1227i | 0.466206 | + | 2.04258i | ||||
\(926\) | 19.3259 | − | 5.96124i | 0.635088 | − | 0.195899i | ||||
\(927\) | −6.95797 | − | 17.7286i | −0.228530 | − | 0.582284i | ||||
\(928\) | −35.0936 | − | 32.5621i | −1.15201 | − | 1.06890i | ||||
\(929\) | 22.3594 | + | 15.2444i | 0.733589 | + | 0.500153i | 0.871563 | − | 0.490283i | \(-0.163107\pi\) |
−0.137974 | + | 0.990436i | \(0.544059\pi\) | |||||||
\(930\) | 64.7353 | 2.12275 | ||||||||
\(931\) | −50.0837 | − | 13.0670i | −1.64143 | − | 0.428255i | ||||
\(932\) | −12.5723 | −0.411819 | ||||||||
\(933\) | 16.2327 | + | 11.0673i | 0.531434 | + | 0.362326i | ||||
\(934\) | 24.3288 | + | 22.5738i | 0.796062 | + | 0.738638i | ||||
\(935\) | 1.96501 | + | 5.00677i | 0.0642628 | + | 0.163739i | ||||
\(936\) | 3.10253 | − | 0.957002i | 0.101409 | − | 0.0312806i | ||||
\(937\) | −3.55300 | − | 15.5667i | −0.116072 | − | 0.508543i | −0.999221 | − | 0.0394519i | \(-0.987439\pi\) |
0.883150 | − | 0.469091i | \(-0.155418\pi\) | |||||||
\(938\) | 34.1498 | − | 38.4678i | 1.11503 | − | 1.25602i | ||||
\(939\) | 5.16782 | − | 22.6417i | 0.168645 | − | 0.738883i | ||||
\(940\) | 0.0407598 | + | 0.543902i | 0.00132944 | + | 0.0177401i | ||||
\(941\) | −18.9328 | − | 5.83998i | −0.617191 | − | 0.190378i | −0.0296335 | − | 0.999561i | \(-0.509434\pi\) |
−0.587557 | + | 0.809183i | \(0.699910\pi\) | |||||||
\(942\) | 1.58059 | − | 21.0915i | 0.0514985 | − | 0.687200i | ||||
\(943\) | −8.33956 | + | 21.2489i | −0.271574 | + | 0.691958i | ||||
\(944\) | −33.6365 | + | 16.1985i | −1.09477 | + | 0.527215i | ||||
\(945\) | −1.05232 | − | 47.8422i | −0.0342321 | − | 1.55631i | ||||
\(946\) | 0.678259 | + | 0.326632i | 0.0220521 | + | 0.0106197i | ||||
\(947\) | −3.87104 | + | 3.59180i | −0.125792 | + | 0.116718i | −0.740561 | − | 0.671990i | \(-0.765440\pi\) |
0.614769 | + | 0.788708i | \(0.289249\pi\) | |||||||
\(948\) | −1.05891 | + | 0.159605i | −0.0343919 | + | 0.00518374i | ||||
\(949\) | 2.26157 | − | 3.91716i | 0.0734137 | − | 0.127156i | ||||
\(950\) | −63.4699 | − | 109.933i | −2.05924 | − | 3.56670i | ||||
\(951\) | 2.63893 | + | 3.30911i | 0.0855730 | + | 0.107305i | ||||
\(952\) | −4.12831 | − | 12.4080i | −0.133799 | − | 0.402147i | ||||
\(953\) | 21.7170 | − | 27.2323i | 0.703483 | − | 0.882139i | −0.293796 | − | 0.955868i | \(-0.594919\pi\) |
0.997278 | + | 0.0737290i | \(0.0234900\pi\) | |||||||
\(954\) | 25.0956 | + | 3.78255i | 0.812500 | + | 0.122465i | ||||
\(955\) | 12.6596 | − | 8.63120i | 0.409657 | − | 0.279299i | ||||
\(956\) | −18.7875 | + | 12.8091i | −0.607632 | + | 0.414277i | ||||
\(957\) | 3.16432 | + | 0.476944i | 0.102288 | + | 0.0154174i | ||||
\(958\) | −23.4407 | + | 29.3937i | −0.757335 | + | 0.949668i | ||||
\(959\) | 30.2346 | − | 2.93564i | 0.976325 | − | 0.0947967i | ||||
\(960\) | 0.907301 | + | 1.13772i | 0.0292830 | + | 0.0367197i | ||||
\(961\) | −38.6201 | − | 66.8920i | −1.24581 | − | 2.15781i | ||||
\(962\) | 5.85530 | − | 10.1417i | 0.188782 | − | 0.326981i | ||||
\(963\) | 23.9105 | − | 3.60393i | 0.770505 | − | 0.116135i | ||||
\(964\) | 12.4982 | − | 11.5966i | 0.402539 | − | 0.373501i | ||||
\(965\) | 91.1673 | + | 43.9039i | 2.93478 | + | 1.41331i | ||||
\(966\) | −4.22620 | − | 8.30357i | −0.135976 | − | 0.267163i | ||||
\(967\) | 3.75245 | − | 1.80708i | 0.120671 | − | 0.0581119i | −0.372574 | − | 0.928002i | \(-0.621525\pi\) |
0.493245 | + | 0.869890i | \(0.335811\pi\) | |||||||
\(968\) | 5.93199 | − | 15.1145i | 0.190661 | − | 0.485797i | ||||
\(969\) | −1.66456 | + | 22.2121i | −0.0534735 | + | 0.713554i | ||||
\(970\) | 77.9080 | + | 24.0314i | 2.50148 | + | 0.771603i | ||||
\(971\) | −1.94269 | − | 25.9234i | −0.0623439 | − | 0.831921i | −0.937479 | − | 0.348042i | \(-0.886847\pi\) |
0.875135 | − | 0.483879i | \(-0.160772\pi\) | |||||||
\(972\) | −4.15169 | + | 18.1897i | −0.133166 | + | 0.583436i | ||||
\(973\) | −4.06304 | − | 23.4456i | −0.130255 | − | 0.751633i | ||||
\(974\) | 2.79104 | + | 12.2283i | 0.0894307 | + | 0.391821i | ||||
\(975\) | 8.44830 | − | 2.60596i | 0.270562 | − | 0.0834574i | ||||
\(976\) | 16.3550 | + | 41.6719i | 0.523512 | + | 1.33389i | ||||
\(977\) | −33.1318 | − | 30.7418i | −1.05998 | − | 0.983517i | −0.0600868 | − | 0.998193i | \(-0.519138\pi\) |
−0.999892 | + | 0.0146763i | \(0.995328\pi\) | |||||||
\(978\) | 15.3784 | + | 10.4848i | 0.491748 | + | 0.335268i | ||||
\(979\) | −3.35389 | −0.107191 | ||||||||
\(980\) | −30.7892 | − | 3.26395i | −0.983524 | − | 0.104263i | ||||
\(981\) | −25.0635 | −0.800215 | ||||||||
\(982\) | 13.4164 | + | 9.14717i | 0.428136 | + | 0.291898i | ||||
\(983\) | 17.3790 | + | 16.1254i | 0.554305 | + | 0.514320i | 0.906838 | − | 0.421479i | \(-0.138489\pi\) |
−0.352533 | + | 0.935799i | \(0.614679\pi\) | |||||||
\(984\) | −5.28288 | − | 13.4606i | −0.168412 | − | 0.429107i | ||||
\(985\) | 10.7491 | − | 3.31567i | 0.342496 | − | 0.105646i | ||||
\(986\) | −10.6758 | − | 46.7735i | −0.339985 | − | 1.48957i | ||||
\(987\) | 0.173502 | + | 0.242831i | 0.00552264 | + | 0.00772938i | ||||
\(988\) | −1.90044 | + | 8.32639i | −0.0604612 | + | 0.264898i | ||||
\(989\) | 0.160948 | + | 2.14770i | 0.00511784 | + | 0.0682928i | ||||
\(990\) | 5.99695 | + | 1.84981i | 0.190596 | + | 0.0587910i | ||||
\(991\) | 2.46056 | − | 32.8339i | 0.0781623 | − | 1.04300i | −0.810890 | − | 0.585198i | \(-0.801017\pi\) |
0.889053 | − | 0.457805i | \(-0.151364\pi\) | |||||||
\(992\) | 22.1850 | − | 56.5266i | 0.704376 | − | 1.79472i | ||||
\(993\) | −12.0955 | + | 5.82489i | −0.383840 | + | 0.184847i | ||||
\(994\) | 0.768590 | − | 0.641081i | 0.0243782 | − | 0.0203339i | ||||
\(995\) | −9.96147 | − | 4.79719i | −0.315800 | − | 0.152081i | ||||
\(996\) | 8.57716 | − | 7.95844i | 0.271778 | − | 0.252173i | ||||
\(997\) | 1.31735 | − | 0.198558i | 0.0417209 | − | 0.00628841i | −0.128149 | − | 0.991755i | \(-0.540903\pi\) |
0.169870 | + | 0.985467i | \(0.445665\pi\) | |||||||
\(998\) | −20.7750 | + | 35.9833i | −0.657621 | + | 1.13903i | ||||
\(999\) | −15.5695 | − | 26.9672i | −0.492598 | − | 0.853204i |
(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 | 637.2.bl.b.53.22 | ✓ | 348 | |
49.37 | even | 21 | inner | 637.2.bl.b.625.22 | yes | 348 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
637.2.bl.b.53.22 | ✓ | 348 | 1.1 | even | 1 | trivial | |
637.2.bl.b.625.22 | yes | 348 | 49.37 | even | 21 | inner |