Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [175,2,Mod(3,175)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(175, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([21, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("175.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 175 = 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 175.x (of order \(60\), degree \(16\), 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: | \(1.39738203537\) |
Analytic rank: | \(0\) |
Dimension: | \(288\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 17.2 | ||
Character | \(\chi\) | \(=\) | 175.17 |
Dual form | 175.2.x.a.103.2 |
$q$-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 \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{13}{20}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.42673 | + | 0.127179i | −1.71596 | + | 0.0899294i | −0.884759 | − | 0.466050i | \(-0.845677\pi\) |
−0.831196 | + | 0.555979i | \(0.812344\pi\) | |||||||
\(3\) | −1.28700 | + | 1.58931i | −0.743049 | + | 0.917590i | −0.998791 | − | 0.0491556i | \(-0.984347\pi\) |
0.255742 | + | 0.966745i | \(0.417680\pi\) | |||||||
\(4\) | 3.88379 | − | 0.408202i | 1.94189 | − | 0.204101i | ||||
\(5\) | −2.16561 | − | 0.556914i | −0.968488 | − | 0.249060i | ||||
\(6\) | 2.92107 | − | 4.02051i | 1.19252 | − | 1.64136i | ||||
\(7\) | −2.31224 | + | 1.28591i | −0.873944 | + | 0.486027i | ||||
\(8\) | −4.57269 | + | 0.724243i | −1.61669 | + | 0.256059i | ||||
\(9\) | −0.245810 | − | 1.15644i | −0.0819365 | − | 0.385481i | ||||
\(10\) | 5.32616 | + | 1.07606i | 1.68428 | + | 0.340279i | ||||
\(11\) | −2.02243 | − | 0.429882i | −0.609787 | − | 0.129614i | −0.107340 | − | 0.994222i | \(-0.534233\pi\) |
−0.502447 | + | 0.864608i | \(0.667567\pi\) | |||||||
\(12\) | −4.34967 | + | 6.69790i | −1.25564 | + | 1.93352i | ||||
\(13\) | 4.81187 | − | 2.45177i | 1.33457 | − | 0.679998i | 0.366441 | − | 0.930441i | \(-0.380576\pi\) |
0.968131 | + | 0.250443i | \(0.0805763\pi\) | |||||||
\(14\) | 5.44763 | − | 3.41461i | 1.45594 | − | 0.912594i | ||||
\(15\) | 3.67224 | − | 2.72507i | 0.948169 | − | 0.703611i | ||||
\(16\) | 3.36489 | − | 0.715229i | 0.841221 | − | 0.178807i | ||||
\(17\) | 1.96169 | − | 5.11037i | 0.475779 | − | 1.23945i | −0.460333 | − | 0.887746i | \(-0.652270\pi\) |
0.936112 | − | 0.351701i | \(-0.114397\pi\) | |||||||
\(18\) | 0.743588 | + | 2.77511i | 0.175265 | + | 0.654100i | ||||
\(19\) | 0.242645 | − | 2.30861i | 0.0556666 | − | 0.529632i | −0.930784 | − | 0.365571i | \(-0.880874\pi\) |
0.986450 | − | 0.164061i | \(-0.0524595\pi\) | |||||||
\(20\) | −8.63808 | − | 1.27893i | −1.93153 | − | 0.285977i | ||||
\(21\) | 0.932143 | − | 5.32983i | 0.203410 | − | 1.16306i | ||||
\(22\) | 4.96257 | + | 0.785994i | 1.05802 | + | 0.167574i | ||||
\(23\) | −0.146917 | − | 2.80334i | −0.0306343 | − | 0.584537i | −0.970220 | − | 0.242224i | \(-0.922123\pi\) |
0.939586 | − | 0.342313i | \(-0.111210\pi\) | |||||||
\(24\) | 4.73400 | − | 8.19953i | 0.966324 | − | 1.67372i | ||||
\(25\) | 4.37969 | + | 2.41211i | 0.875939 | + | 0.482422i | ||||
\(26\) | −11.3653 | + | 6.56174i | −2.22891 | + | 1.28686i | ||||
\(27\) | −3.31219 | − | 1.68764i | −0.637430 | − | 0.324787i | ||||
\(28\) | −8.45533 | + | 5.93804i | −1.59791 | + | 1.12218i | ||||
\(29\) | 3.75352 | + | 5.16628i | 0.697011 | + | 0.959353i | 0.999980 | + | 0.00635297i | \(0.00202223\pi\) |
−0.302969 | + | 0.953001i | \(0.597978\pi\) | |||||||
\(30\) | −8.56496 | + | 7.08004i | −1.56374 | + | 1.29263i | ||||
\(31\) | −2.88229 | − | 6.47373i | −0.517674 | − | 1.16272i | −0.963527 | − | 0.267609i | \(-0.913766\pi\) |
0.445853 | − | 0.895106i | \(-0.352900\pi\) | |||||||
\(32\) | 0.869181 | − | 0.232896i | 0.153651 | − | 0.0411706i | ||||
\(33\) | 3.28609 | − | 2.66102i | 0.572035 | − | 0.463224i | ||||
\(34\) | −4.11055 | + | 12.6510i | −0.704953 | + | 2.16962i | ||||
\(35\) | 5.72353 | − | 1.49705i | 0.967454 | − | 0.253047i | ||||
\(36\) | −1.42673 | − | 4.39104i | −0.237789 | − | 0.731839i | ||||
\(37\) | 0.340852 | + | 0.221352i | 0.0560357 | + | 0.0363900i | 0.572353 | − | 0.820007i | \(-0.306031\pi\) |
−0.516317 | + | 0.856397i | \(0.672697\pi\) | |||||||
\(38\) | −0.295225 | + | 5.63323i | −0.0478919 | + | 0.913831i | ||||
\(39\) | −2.29624 | + | 10.8030i | −0.367693 | + | 1.72986i | ||||
\(40\) | 10.3060 | + | 0.978172i | 1.62952 | + | 0.154663i | ||||
\(41\) | −8.72248 | − | 2.83411i | −1.36222 | − | 0.442613i | −0.465438 | − | 0.885081i | \(-0.654103\pi\) |
−0.896784 | + | 0.442468i | \(0.854103\pi\) | |||||||
\(42\) | −1.58421 | + | 13.0526i | −0.244449 | + | 2.01406i | ||||
\(43\) | −3.92695 | + | 3.92695i | −0.598854 | + | 0.598854i | −0.940008 | − | 0.341153i | \(-0.889182\pi\) |
0.341153 | + | 0.940008i | \(0.389182\pi\) | |||||||
\(44\) | −8.03018 | − | 0.844006i | −1.21060 | − | 0.127239i | ||||
\(45\) | −0.111713 | + | 2.64129i | −0.0166532 | + | 0.393741i | ||||
\(46\) | 0.713054 | + | 6.78426i | 0.105134 | + | 1.00028i | ||||
\(47\) | −2.50126 | + | 0.960145i | −0.364847 | + | 0.140052i | −0.533883 | − | 0.845558i | \(-0.679268\pi\) |
0.169036 | + | 0.985610i | \(0.445934\pi\) | |||||||
\(48\) | −3.19388 | + | 6.26835i | −0.460997 | + | 0.904759i | ||||
\(49\) | 3.69289 | − | 5.94664i | 0.527556 | − | 0.849520i | ||||
\(50\) | −10.9351 | − | 5.29653i | −1.54646 | − | 0.749043i | ||||
\(51\) | 5.59728 | + | 9.69478i | 0.783777 | + | 1.35754i | ||||
\(52\) | 17.6874 | − | 11.4864i | 2.45281 | − | 1.59287i | ||||
\(53\) | −3.15369 | − | 2.55381i | −0.433193 | − | 0.350793i | 0.387788 | − | 0.921749i | \(-0.373239\pi\) |
−0.820981 | + | 0.570956i | \(0.806573\pi\) | |||||||
\(54\) | 8.25240 | + | 3.67421i | 1.12301 | + | 0.499996i | ||||
\(55\) | 4.14039 | + | 2.05728i | 0.558290 | + | 0.277403i | ||||
\(56\) | 9.64184 | − | 7.55468i | 1.28845 | − | 1.00954i | ||||
\(57\) | 3.35682 | + | 3.35682i | 0.444622 | + | 0.444622i | ||||
\(58\) | −9.76581 | − | 12.0598i | −1.28231 | − | 1.58353i | ||||
\(59\) | 0.0263546 | + | 0.0292698i | 0.00343108 | + | 0.00381060i | 0.744858 | − | 0.667223i | \(-0.232517\pi\) |
−0.741427 | + | 0.671034i | \(0.765851\pi\) | |||||||
\(60\) | 13.1498 | − | 12.0826i | 1.69763 | − | 1.55986i | ||||
\(61\) | −5.29174 | − | 4.76471i | −0.677538 | − | 0.610058i | 0.256792 | − | 0.966467i | \(-0.417334\pi\) |
−0.934330 | + | 0.356409i | \(0.884001\pi\) | |||||||
\(62\) | 7.81785 | + | 15.3434i | 0.992868 | + | 1.94861i | ||||
\(63\) | 2.05545 | + | 2.35788i | 0.258962 | + | 0.297065i | ||||
\(64\) | −8.62303 | + | 2.80179i | −1.07788 | + | 0.350224i | ||||
\(65\) | −11.7860 | + | 2.62977i | −1.46188 | + | 0.326182i | ||||
\(66\) | −7.63601 | + | 6.87550i | −0.939928 | + | 0.846315i | ||||
\(67\) | −8.24200 | − | 3.16381i | −1.00692 | − | 0.386520i | −0.201669 | − | 0.979454i | \(-0.564636\pi\) |
−0.805251 | + | 0.592933i | \(0.797970\pi\) | |||||||
\(68\) | 5.53271 | − | 20.6484i | 0.670940 | − | 2.50398i | ||||
\(69\) | 4.64447 | + | 3.37440i | 0.559128 | + | 0.406230i | ||||
\(70\) | −13.6991 | + | 4.36084i | −1.63735 | + | 0.521220i | ||||
\(71\) | 9.94567 | − | 7.22595i | 1.18033 | − | 0.857562i | 0.188124 | − | 0.982145i | \(-0.439759\pi\) |
0.992209 | + | 0.124583i | \(0.0397592\pi\) | |||||||
\(72\) | 1.96156 | + | 5.11003i | 0.231172 | + | 0.602223i | ||||
\(73\) | −1.53012 | − | 2.35618i | −0.179087 | − | 0.275769i | 0.737715 | − | 0.675112i | \(-0.235905\pi\) |
−0.916802 | + | 0.399343i | \(0.869238\pi\) | |||||||
\(74\) | −0.855306 | − | 0.493811i | −0.0994273 | − | 0.0574044i | ||||
\(75\) | −9.47026 | + | 3.85631i | −1.09353 | + | 0.445288i | ||||
\(76\) | − | 9.06520i | − | 1.03985i | ||||||
\(77\) | 5.22914 | − | 1.60667i | 0.595916 | − | 0.183097i | ||||
\(78\) | 4.19844 | − | 26.5079i | 0.475380 | − | 3.00143i | ||||
\(79\) | 3.25691 | − | 7.31514i | 0.366431 | − | 0.823017i | −0.632398 | − | 0.774643i | \(-0.717929\pi\) |
0.998829 | − | 0.0483740i | \(-0.0154039\pi\) | |||||||
\(80\) | −7.68534 | − | 0.325050i | −0.859247 | − | 0.0363416i | ||||
\(81\) | 10.1852 | − | 4.53473i | 1.13169 | − | 0.503859i | ||||
\(82\) | 21.5275 | + | 5.76828i | 2.37732 | + | 0.637000i | ||||
\(83\) | 1.44682 | + | 9.13488i | 0.158809 | + | 1.00268i | 0.930395 | + | 0.366558i | \(0.119464\pi\) |
−0.771586 | + | 0.636125i | \(0.780536\pi\) | |||||||
\(84\) | 1.44459 | − | 21.0804i | 0.157618 | − | 2.30006i | ||||
\(85\) | −7.09428 | + | 9.97456i | −0.769483 | + | 1.08189i | ||||
\(86\) | 9.03021 | − | 10.0291i | 0.973752 | − | 1.08146i | ||||
\(87\) | −13.0416 | − | 0.683481i | −1.39821 | − | 0.0732769i | ||||
\(88\) | 9.55931 | + | 0.500982i | 1.01903 | + | 0.0534049i | ||||
\(89\) | 1.60882 | − | 1.78677i | 0.170534 | − | 0.189398i | −0.651819 | − | 0.758374i | \(-0.725994\pi\) |
0.822354 | + | 0.568977i | \(0.192661\pi\) | |||||||
\(90\) | −0.0648213 | − | 6.42391i | −0.00683276 | − | 0.677139i | ||||
\(91\) | −7.97344 | + | 11.8567i | −0.835843 | + | 1.24292i | ||||
\(92\) | −1.71492 | − | 10.8276i | −0.178793 | − | 1.12886i | ||||
\(93\) | 13.9983 | + | 3.75083i | 1.45155 | + | 0.388942i | ||||
\(94\) | 5.94777 | − | 2.64812i | 0.613466 | − | 0.273133i | ||||
\(95\) | −1.81117 | + | 4.86441i | −0.185822 | + | 0.499078i | ||||
\(96\) | −0.748490 | + | 1.68114i | −0.0763925 | + | 0.171580i | ||||
\(97\) | 2.60779 | − | 16.4649i | 0.264781 | − | 1.67176i | −0.393758 | − | 0.919214i | \(-0.628825\pi\) |
0.658539 | − | 0.752546i | \(-0.271175\pi\) | |||||||
\(98\) | −8.20535 | + | 14.9005i | −0.828865 | + | 1.50518i | ||||
\(99\) | 2.44450i | 0.245681i | ||||||||
\(100\) | 17.9944 | + | 7.58033i | 1.79944 | + | 0.758033i | ||||
\(101\) | 2.70125 | + | 1.55957i | 0.268784 | + | 0.155183i | 0.628335 | − | 0.777943i | \(-0.283737\pi\) |
−0.359551 | + | 0.933125i | \(0.617070\pi\) | |||||||
\(102\) | −14.8161 | − | 22.8147i | −1.46701 | − | 2.25899i | ||||
\(103\) | 3.97884 | + | 10.3652i | 0.392046 | + | 1.02132i | 0.977561 | + | 0.210654i | \(0.0675593\pi\) |
−0.585514 | + | 0.810662i | \(0.699107\pi\) | |||||||
\(104\) | −20.2275 | + | 14.6961i | −1.98347 | + | 1.44108i | ||||
\(105\) | −4.98691 | + | 11.0232i | −0.486673 | + | 1.07575i | ||||
\(106\) | 7.97794 | + | 5.79632i | 0.774886 | + | 0.562988i | ||||
\(107\) | 1.42262 | − | 5.30928i | 0.137530 | − | 0.513267i | −0.862445 | − | 0.506151i | \(-0.831068\pi\) |
0.999975 | − | 0.00711676i | \(-0.00226535\pi\) | |||||||
\(108\) | −13.5527 | − | 5.20240i | −1.30411 | − | 0.500601i | ||||
\(109\) | −7.84043 | + | 7.05955i | −0.750977 | + | 0.676183i | −0.952922 | − | 0.303214i | \(-0.901940\pi\) |
0.201946 | + | 0.979397i | \(0.435274\pi\) | |||||||
\(110\) | −10.3092 | − | 4.46588i | −0.982947 | − | 0.425805i | ||||
\(111\) | −0.790473 | + | 0.256840i | −0.0750284 | + | 0.0243782i | ||||
\(112\) | −6.86070 | + | 5.98071i | −0.648275 | + | 0.565124i | ||||
\(113\) | 2.84806 | + | 5.58963i | 0.267923 | + | 0.525828i | 0.985295 | − | 0.170862i | \(-0.0546552\pi\) |
−0.717372 | + | 0.696690i | \(0.754655\pi\) | |||||||
\(114\) | −8.57301 | − | 7.71917i | −0.802936 | − | 0.722967i | ||||
\(115\) | −1.24306 | + | 6.15275i | −0.115916 | + | 0.573747i | ||||
\(116\) | 16.6867 | + | 18.5325i | 1.54933 | + | 1.72070i | ||||
\(117\) | −4.01813 | − | 4.96198i | −0.371477 | − | 0.458735i | ||||
\(118\) | −0.0676779 | − | 0.0676779i | −0.00623026 | − | 0.00623026i | ||||
\(119\) | 2.03557 | + | 14.3389i | 0.186600 | + | 1.31445i | ||||
\(120\) | −14.8184 | + | 15.1205i | −1.35273 | + | 1.38031i | ||||
\(121\) | −6.14356 | − | 2.73529i | −0.558505 | − | 0.248662i | ||||
\(122\) | 13.4476 | + | 10.8896i | 1.21749 | + | 0.985902i | ||||
\(123\) | 15.7301 | − | 10.2152i | 1.41834 | − | 0.921078i | ||||
\(124\) | −13.8368 | − | 23.9660i | −1.24258 | − | 2.15221i | ||||
\(125\) | −8.14135 | − | 7.66280i | −0.728184 | − | 0.685381i | ||||
\(126\) | −5.28788 | − | 5.46053i | −0.471082 | − | 0.486463i | ||||
\(127\) | 0.0522005 | − | 0.102449i | 0.00463204 | − | 0.00909090i | −0.888679 | − | 0.458530i | \(-0.848376\pi\) |
0.893311 | + | 0.449439i | \(0.148376\pi\) | |||||||
\(128\) | 18.8893 | − | 7.25090i | 1.66959 | − | 0.640895i | ||||
\(129\) | −1.18717 | − | 11.2951i | −0.104524 | − | 0.994481i | ||||
\(130\) | 28.2670 | − | 7.88067i | 2.47918 | − | 0.691180i | ||||
\(131\) | 4.48303 | + | 0.471186i | 0.391685 | + | 0.0411677i | 0.298324 | − | 0.954465i | \(-0.403572\pi\) |
0.0933606 | + | 0.995632i | \(0.470239\pi\) | |||||||
\(132\) | 11.6762 | − | 11.6762i | 1.01628 | − | 1.01628i | ||||
\(133\) | 2.40761 | + | 5.65008i | 0.208766 | + | 0.489924i | ||||
\(134\) | 20.4034 | + | 6.62948i | 1.76259 | + | 0.572700i | ||||
\(135\) | 6.23302 | + | 5.49937i | 0.536453 | + | 0.473311i | ||||
\(136\) | −5.26904 | + | 24.7889i | −0.451817 | + | 2.12563i | ||||
\(137\) | 0.773425 | − | 14.7578i | 0.0660782 | − | 1.26085i | −0.741446 | − | 0.671012i | \(-0.765860\pi\) |
0.807524 | − | 0.589834i | \(-0.200807\pi\) | |||||||
\(138\) | −11.7000 | − | 7.59807i | −0.995970 | − | 0.646791i | ||||
\(139\) | −6.53701 | − | 20.1189i | −0.554462 | − | 1.70646i | −0.697359 | − | 0.716722i | \(-0.745642\pi\) |
0.142897 | − | 0.989738i | \(-0.454358\pi\) | |||||||
\(140\) | 21.6179 | − | 8.15057i | 1.82704 | − | 0.688849i | ||||
\(141\) | 1.69315 | − | 5.21099i | 0.142589 | − | 0.438845i | ||||
\(142\) | −23.2164 | + | 18.8003i | −1.94828 | + | 1.57769i | ||||
\(143\) | −10.7857 | + | 2.89001i | −0.901942 | + | 0.241675i | ||||
\(144\) | −1.65424 | − | 3.71549i | −0.137854 | − | 0.309624i | ||||
\(145\) | −5.25147 | − | 13.2785i | −0.436111 | − | 1.10272i | ||||
\(146\) | 4.01284 | + | 5.52319i | 0.332105 | + | 0.457103i | ||||
\(147\) | 4.69832 | + | 13.5225i | 0.387511 | + | 1.11532i | ||||
\(148\) | 1.41415 | + | 0.720546i | 0.116243 | + | 0.0592286i | ||||
\(149\) | −6.08466 | + | 3.51298i | −0.498474 | + | 0.287794i | −0.728083 | − | 0.685489i | \(-0.759589\pi\) |
0.229609 | + | 0.973283i | \(0.426255\pi\) | |||||||
\(150\) | 22.4913 | − | 10.5626i | 1.83641 | − | 0.862436i | ||||
\(151\) | −9.79544 | + | 16.9662i | −0.797142 | + | 1.38069i | 0.124328 | + | 0.992241i | \(0.460322\pi\) |
−0.921470 | + | 0.388449i | \(0.873011\pi\) | |||||||
\(152\) | 0.562457 | + | 10.7323i | 0.0456213 | + | 0.870505i | ||||
\(153\) | −6.39206 | − | 1.01240i | −0.516767 | − | 0.0818479i | ||||
\(154\) | −12.4854 | + | 4.56399i | −1.00610 | + | 0.367777i | ||||
\(155\) | 2.63659 | + | 15.6247i | 0.211776 | + | 1.25501i | ||||
\(156\) | −4.50832 | + | 42.8938i | −0.360954 | + | 3.43425i | ||||
\(157\) | −0.466587 | − | 1.74133i | −0.0372377 | − | 0.138973i | 0.944804 | − | 0.327635i | \(-0.106252\pi\) |
−0.982042 | + | 0.188662i | \(0.939585\pi\) | |||||||
\(158\) | −6.97330 | + | 18.1661i | −0.554766 | + | 1.44521i | ||||
\(159\) | 8.11760 | − | 1.72545i | 0.643768 | − | 0.136837i | ||||
\(160\) | −2.01201 | + | 0.0203024i | −0.159063 | + | 0.00160505i | ||||
\(161\) | 3.94454 | + | 6.29307i | 0.310873 | + | 0.495964i | ||||
\(162\) | −24.1399 | + | 12.2999i | −1.89661 | + | 0.966371i | ||||
\(163\) | 0.714689 | − | 1.10052i | 0.0559788 | − | 0.0861997i | −0.809573 | − | 0.587019i | \(-0.800301\pi\) |
0.865552 | + | 0.500819i | \(0.166968\pi\) | |||||||
\(164\) | −35.0331 | − | 7.44652i | −2.73563 | − | 0.581475i | ||||
\(165\) | −8.59833 | + | 3.93265i | −0.669379 | + | 0.306157i | ||||
\(166\) | −4.67281 | − | 21.9839i | −0.362681 | − | 1.70628i | ||||
\(167\) | 0.192973 | − | 0.0305638i | 0.0149327 | − | 0.00236510i | −0.148964 | − | 0.988843i | \(-0.547594\pi\) |
0.163896 | + | 0.986478i | \(0.447594\pi\) | |||||||
\(168\) | −0.402310 | + | 25.0468i | −0.0310389 | + | 1.93240i | ||||
\(169\) | 9.50169 | − | 13.0780i | 0.730899 | − | 1.00600i | ||||
\(170\) | 15.9473 | − | 25.1078i | 1.22310 | − | 1.92568i | ||||
\(171\) | −2.72942 | + | 0.286874i | −0.208724 | + | 0.0219378i | ||||
\(172\) | −13.6484 | + | 16.8544i | −1.04068 | + | 1.28514i | ||||
\(173\) | −4.56378 | + | 0.239178i | −0.346978 | + | 0.0181843i | −0.225029 | − | 0.974352i | \(-0.572248\pi\) |
−0.121949 | + | 0.992536i | \(0.538914\pi\) | |||||||
\(174\) | 31.7353 | 2.40585 | ||||||||
\(175\) | −13.2286 | + | 0.0544970i | −0.999992 | + | 0.00411959i | ||||
\(176\) | −7.11273 | −0.536142 | ||||||||
\(177\) | −0.0804371 | + | 0.00421553i | −0.00604602 | + | 0.000316859i | ||||
\(178\) | −3.67692 | + | 4.54062i | −0.275597 | + | 0.340334i | ||||
\(179\) | −16.2139 | + | 1.70415i | −1.21188 | + | 0.127374i | −0.688829 | − | 0.724924i | \(-0.741875\pi\) |
−0.523056 | + | 0.852298i | \(0.675208\pi\) | |||||||
\(180\) | 0.644313 | + | 10.3038i | 0.0480243 | + | 0.768001i | ||||
\(181\) | −6.42376 | + | 8.84155i | −0.477474 | + | 0.657187i | −0.978017 | − | 0.208525i | \(-0.933134\pi\) |
0.500543 | + | 0.865712i | \(0.333134\pi\) | |||||||
\(182\) | 17.8414 | − | 29.7870i | 1.32249 | − | 2.20796i | ||||
\(183\) | 14.3831 | − | 2.27805i | 1.06323 | − | 0.168399i | ||||
\(184\) | 2.70211 | + | 12.7124i | 0.199202 | + | 0.937172i | ||||
\(185\) | −0.614877 | − | 0.669186i | −0.0452066 | − | 0.0491995i | ||||
\(186\) | −34.4470 | − | 7.32194i | −2.52578 | − | 0.536871i | ||||
\(187\) | −6.16424 | + | 9.49210i | −0.450774 | + | 0.694131i | ||||
\(188\) | −9.32244 | + | 4.75002i | −0.679909 | + | 0.346431i | ||||
\(189\) | 9.82871 | − | 0.356928i | 0.714934 | − | 0.0259627i | ||||
\(190\) | 3.77657 | − | 12.0349i | 0.273981 | − | 0.873107i | ||||
\(191\) | 25.8655 | − | 5.49788i | 1.87156 | − | 0.397813i | 0.875254 | − | 0.483663i | \(-0.160694\pi\) |
0.996308 | + | 0.0858500i | \(0.0273606\pi\) | |||||||
\(192\) | 6.64491 | − | 17.3106i | 0.479555 | − | 1.24928i | ||||
\(193\) | −3.32790 | − | 12.4199i | −0.239547 | − | 0.894002i | −0.976046 | − | 0.217564i | \(-0.930189\pi\) |
0.736499 | − | 0.676439i | \(-0.236478\pi\) | |||||||
\(194\) | −4.23439 | + | 40.2875i | −0.304012 | + | 2.89248i | ||||
\(195\) | 10.9891 | − | 22.1162i | 0.786945 | − | 1.58377i | ||||
\(196\) | 11.9150 | − | 24.6029i | 0.851068 | − | 1.75735i | ||||
\(197\) | −12.6628 | − | 2.00559i | −0.902189 | − | 0.142893i | −0.311929 | − | 0.950106i | \(-0.600975\pi\) |
−0.590260 | + | 0.807213i | \(0.700975\pi\) | |||||||
\(198\) | −0.310890 | − | 5.93213i | −0.0220940 | − | 0.421578i | ||||
\(199\) | 0.816805 | − | 1.41475i | 0.0579018 | − | 0.100289i | −0.835622 | − | 0.549306i | \(-0.814892\pi\) |
0.893523 | + | 0.449017i | \(0.148226\pi\) | |||||||
\(200\) | −21.7739 | − | 7.85788i | −1.53965 | − | 0.555636i | ||||
\(201\) | 15.6357 | − | 9.02728i | 1.10286 | − | 0.636736i | ||||
\(202\) | −6.75353 | − | 3.44110i | −0.475177 | − | 0.242115i | ||||
\(203\) | −15.3224 | − | 7.11899i | −1.07542 | − | 0.499655i | ||||
\(204\) | 25.6961 | + | 35.3676i | 1.79909 | + | 2.47623i | ||||
\(205\) | 17.3111 | + | 10.9952i | 1.20906 | + | 0.767940i | ||||
\(206\) | −10.9738 | − | 24.6475i | −0.764580 | − | 1.71728i | ||||
\(207\) | −3.20579 | + | 0.858989i | −0.222818 | + | 0.0597039i | ||||
\(208\) | 14.4378 | − | 11.6915i | 1.00108 | − | 0.810660i | ||||
\(209\) | −1.48316 | + | 4.56471i | −0.102593 | + | 0.315748i | ||||
\(210\) | 10.6999 | − | 27.3845i | 0.738366 | − | 1.88971i | ||||
\(211\) | −1.38124 | − | 4.25101i | −0.0950883 | − | 0.292652i | 0.892188 | − | 0.451664i | \(-0.149169\pi\) |
−0.987277 | + | 0.159012i | \(0.949169\pi\) | |||||||
\(212\) | −13.2907 | − | 8.63111i | −0.912812 | − | 0.592787i | ||||
\(213\) | −1.31578 | + | 25.1066i | −0.0901557 | + | 1.72027i | ||||
\(214\) | −2.77707 | + | 13.0651i | −0.189837 | + | 0.893112i | ||||
\(215\) | 10.6912 | − | 6.31725i | 0.729134 | − | 0.430833i | ||||
\(216\) | 16.3679 | + | 5.31824i | 1.11369 | + | 0.361861i | ||||
\(217\) | 14.9891 | + | 11.2624i | 1.01753 | + | 0.764544i | ||||
\(218\) | 18.1287 | − | 18.1287i | 1.22783 | − | 1.22783i | ||||
\(219\) | 5.71396 | + | 0.600561i | 0.386113 | + | 0.0405822i | ||||
\(220\) | 16.9202 | + | 6.29991i | 1.14076 | + | 0.424740i | ||||
\(221\) | −3.09007 | − | 29.4000i | −0.207861 | − | 1.97766i | ||||
\(222\) | 1.88560 | − | 0.723813i | 0.126553 | − | 0.0485792i | ||||
\(223\) | 8.27155 | − | 16.2338i | 0.553904 | − | 1.08710i | −0.429056 | − | 0.903278i | \(-0.641154\pi\) |
0.982960 | − | 0.183820i | \(-0.0588463\pi\) | |||||||
\(224\) | −1.71027 | + | 1.65620i | −0.114272 | + | 0.110659i | ||||
\(225\) | 1.71290 | − | 5.65779i | 0.114193 | − | 0.377186i | ||||
\(226\) | −7.62235 | − | 13.2023i | −0.507031 | − | 0.878203i | ||||
\(227\) | −9.25783 | + | 6.01211i | −0.614464 | + | 0.399037i | −0.814010 | − | 0.580851i | \(-0.802720\pi\) |
0.199546 | + | 0.979888i | \(0.436053\pi\) | |||||||
\(228\) | 14.4074 | + | 11.6669i | 0.954156 | + | 0.772660i | ||||
\(229\) | 18.2114 | + | 8.10823i | 1.20344 | + | 0.535807i | 0.907764 | − | 0.419481i | \(-0.137788\pi\) |
0.295677 | + | 0.955288i | \(0.404455\pi\) | |||||||
\(230\) | 2.23406 | − | 15.0891i | 0.147309 | − | 0.994948i | ||||
\(231\) | −4.17639 | + | 10.3785i | −0.274787 | + | 0.682856i | ||||
\(232\) | −20.9053 | − | 20.9053i | −1.37250 | − | 1.37250i | ||||
\(233\) | 2.95068 | + | 3.64378i | 0.193305 | + | 0.238712i | 0.864578 | − | 0.502498i | \(-0.167586\pi\) |
−0.671273 | + | 0.741210i | \(0.734252\pi\) | |||||||
\(234\) | 10.3820 | + | 11.5304i | 0.678691 | + | 0.753763i | ||||
\(235\) | 5.95147 | − | 0.686307i | 0.388231 | − | 0.0447697i | ||||
\(236\) | 0.114304 | + | 0.102919i | 0.00744053 | + | 0.00669948i | ||||
\(237\) | 7.43439 | + | 14.5908i | 0.482916 | + | 0.947776i | ||||
\(238\) | −6.76339 | − | 34.5378i | −0.438406 | − | 2.23876i | ||||
\(239\) | 15.3187 | − | 4.97734i | 0.990884 | − | 0.321958i | 0.231667 | − | 0.972795i | \(-0.425582\pi\) |
0.759217 | + | 0.650838i | \(0.225582\pi\) | |||||||
\(240\) | 10.4076 | − | 11.7961i | 0.671809 | − | 0.761432i | ||||
\(241\) | −10.1665 | + | 9.15393i | −0.654880 | + | 0.589657i | −0.928116 | − | 0.372290i | \(-0.878573\pi\) |
0.273236 | + | 0.961947i | \(0.411906\pi\) | |||||||
\(242\) | 15.2566 | + | 5.85646i | 0.980732 | + | 0.376468i | ||||
\(243\) | −3.01484 | + | 11.2515i | −0.193402 | + | 0.721786i | ||||
\(244\) | −22.4969 | − | 16.3450i | −1.44022 | − | 1.04638i | ||||
\(245\) | −11.3091 | + | 10.8215i | −0.722513 | + | 0.691358i | ||||
\(246\) | −36.8735 | + | 26.7902i | −2.35097 | + | 1.70808i | ||||
\(247\) | −4.49261 | − | 11.7036i | −0.285858 | − | 0.744685i | ||||
\(248\) | 17.8684 | + | 27.5149i | 1.13464 | + | 1.74720i | ||||
\(249\) | −16.3802 | − | 9.45713i | −1.03805 | − | 0.599321i | ||||
\(250\) | 20.7314 | + | 17.5601i | 1.31117 | + | 1.11060i | ||||
\(251\) | − | 0.00533874i | − | 0.000336978i | −1.00000 | 0.000168489i | \(-0.999946\pi\) | |||
1.00000 | 0.000168489i | \(-5.36317e-5\pi\) | ||||||||
\(252\) | 8.94541 | + | 8.31847i | 0.563508 | + | 0.524015i | ||||
\(253\) | −0.907976 | + | 5.73273i | −0.0570839 | + | 0.360414i | ||||
\(254\) | −0.113647 | + | 0.255255i | −0.00713084 | + | 0.0160161i | ||||
\(255\) | −6.72235 | − | 24.1123i | −0.420970 | − | 1.50997i | ||||
\(256\) | −28.3510 | + | 12.6227i | −1.77194 | + | 0.788919i | ||||
\(257\) | −10.2934 | − | 2.75812i | −0.642087 | − | 0.172047i | −0.0769383 | − | 0.997036i | \(-0.524514\pi\) |
−0.565148 | + | 0.824989i | \(0.691181\pi\) | |||||||
\(258\) | 4.31743 | + | 27.2592i | 0.268792 | + | 1.69708i | ||||
\(259\) | −1.07277 | − | 0.0735145i | −0.0666586 | − | 0.00456797i | ||||
\(260\) | −44.7009 | + | 15.0245i | −2.77223 | + | 0.931782i | ||||
\(261\) | 5.05185 | − | 5.61065i | 0.312702 | − | 0.347291i | ||||
\(262\) | −10.9390 | − | 0.573290i | −0.675815 | − | 0.0354180i | ||||
\(263\) | 2.06625 | + | 0.108288i | 0.127410 | + | 0.00667729i | 0.115935 | − | 0.993257i | \(-0.463014\pi\) |
0.0114758 | + | 0.999934i | \(0.496347\pi\) | |||||||
\(264\) | −13.0990 | + | 14.5480i | −0.806190 | + | 0.895365i | ||||
\(265\) | 5.40740 | + | 7.28688i | 0.332174 | + | 0.447630i | ||||
\(266\) | −6.56118 | − | 13.4050i | −0.402292 | − | 0.821914i | ||||
\(267\) | 0.769192 | + | 4.85649i | 0.0470738 | + | 0.297212i | ||||
\(268\) | −33.3016 | − | 8.92314i | −2.03422 | − | 0.545068i | ||||
\(269\) | −3.16339 | + | 1.40843i | −0.192875 | + | 0.0858737i | −0.500902 | − | 0.865504i | \(-0.666998\pi\) |
0.308026 | + | 0.951378i | \(0.400332\pi\) | |||||||
\(270\) | −15.8252 | − | 12.5528i | −0.963093 | − | 0.763937i | ||||
\(271\) | −1.32960 | + | 2.98633i | −0.0807674 | + | 0.181406i | −0.949415 | − | 0.314024i | \(-0.898323\pi\) |
0.868648 | + | 0.495430i | \(0.164990\pi\) | |||||||
\(272\) | 2.94577 | − | 18.5989i | 0.178614 | − | 1.12772i | ||||
\(273\) | −8.58216 | − | 27.9318i | −0.519416 | − | 1.69051i | ||||
\(274\) | 35.9116i | 2.16950i | ||||||||
\(275\) | −7.82072 | − | 6.76109i | −0.471607 | − | 0.407709i | ||||
\(276\) | 19.4155 | + | 11.2096i | 1.16868 | + | 0.674737i | ||||
\(277\) | 17.8069 | + | 27.4201i | 1.06991 | + | 1.64752i | 0.692404 | + | 0.721510i | \(0.256552\pi\) |
0.377506 | + | 0.926007i | \(0.376782\pi\) | |||||||
\(278\) | 18.4223 | + | 47.9916i | 1.10489 | + | 2.87835i | ||||
\(279\) | −6.77800 | + | 4.92451i | −0.405788 | + | 0.294822i | ||||
\(280\) | −25.0877 | + | 10.9908i | −1.49928 | + | 0.656824i | ||||
\(281\) | −15.0878 | − | 10.9619i | −0.900063 | − | 0.653934i | 0.0384191 | − | 0.999262i | \(-0.487768\pi\) |
−0.938482 | + | 0.345328i | \(0.887768\pi\) | |||||||
\(282\) | −3.44609 | + | 12.8610i | −0.205212 | + | 0.765861i | ||||
\(283\) | 21.4785 | + | 8.24482i | 1.27676 | + | 0.490104i | 0.899872 | − | 0.436153i | \(-0.143660\pi\) |
0.376892 | + | 0.926257i | \(0.376993\pi\) | |||||||
\(284\) | 35.6772 | − | 32.1239i | 2.11705 | − | 1.90620i | ||||
\(285\) | −5.40009 | − | 9.13901i | −0.319874 | − | 0.541348i | ||||
\(286\) | 25.8063 | − | 8.38498i | 1.52596 | − | 0.495814i | ||||
\(287\) | 23.8128 | − | 4.66316i | 1.40563 | − | 0.275258i | ||||
\(288\) | −0.482984 | − | 0.947910i | −0.0284601 | − | 0.0558561i | ||||
\(289\) | −9.63424 | − | 8.67470i | −0.566720 | − | 0.510277i | ||||
\(290\) | 14.4326 | + | 31.5554i | 0.847514 | + | 1.85300i | ||||
\(291\) | 22.8117 | + | 25.3349i | 1.33724 | + | 1.48516i | ||||
\(292\) | −6.90445 | − | 8.52628i | −0.404052 | − | 0.498963i | ||||
\(293\) | 6.36211 | + | 6.36211i | 0.371678 | + | 0.371678i | 0.868088 | − | 0.496410i | \(-0.165349\pi\) |
−0.496410 | + | 0.868088i | \(0.665349\pi\) | |||||||
\(294\) | −13.1213 | − | 32.2178i | −0.765251 | − | 1.87898i | ||||
\(295\) | −0.0407729 | − | 0.0780640i | −0.00237389 | − | 0.00454506i | ||||
\(296\) | −1.71892 | − | 0.765314i | −0.0999104 | − | 0.0444830i | ||||
\(297\) | 5.97319 | + | 4.83700i | 0.346600 | + | 0.280671i | ||||
\(298\) | 14.3190 | − | 9.29888i | 0.829479 | − | 0.538670i | ||||
\(299\) | −7.58009 | − | 13.1291i | −0.438368 | − | 0.759276i | ||||
\(300\) | −35.2063 | + | 18.8429i | −2.03264 | + | 1.08789i | ||||
\(301\) | 4.03035 | − | 14.1297i | 0.232306 | − | 0.814424i | ||||
\(302\) | 21.6131 | − | 42.4181i | 1.24370 | − | 2.44089i | ||||
\(303\) | −5.95514 | + | 2.28596i | −0.342114 | + | 0.131325i | ||||
\(304\) | −0.834713 | − | 7.94177i | −0.0478741 | − | 0.455491i | ||||
\(305\) | 8.80629 | + | 13.2655i | 0.504247 | + | 0.759581i | ||||
\(306\) | 15.6405 | + | 1.64389i | 0.894110 | + | 0.0939747i | ||||
\(307\) | −18.7776 | + | 18.7776i | −1.07170 | + | 1.07170i | −0.0744731 | + | 0.997223i | \(0.523727\pi\) |
−0.997223 | + | 0.0744731i | \(0.976273\pi\) | |||||||
\(308\) | 19.6530 | − | 8.37452i | 1.11983 | − | 0.477182i | ||||
\(309\) | −21.5943 | − | 7.01642i | −1.22846 | − | 0.399150i | ||||
\(310\) | −8.38543 | − | 37.5816i | −0.476260 | − | 2.13449i | ||||
\(311\) | 0.220027 | − | 1.03515i | 0.0124766 | − | 0.0586977i | −0.971469 | − | 0.237167i | \(-0.923781\pi\) |
0.983945 | + | 0.178469i | \(0.0571145\pi\) | |||||||
\(312\) | 2.67603 | − | 51.0618i | 0.151501 | − | 2.89080i | ||||
\(313\) | −15.8425 | − | 10.2882i | −0.895470 | − | 0.581525i | 0.0127962 | − | 0.999918i | \(-0.495927\pi\) |
−0.908266 | + | 0.418393i | \(0.862593\pi\) | |||||||
\(314\) | 1.35374 | + | 4.16638i | 0.0763960 | + | 0.235123i | ||||
\(315\) | −3.13815 | − | 6.25095i | −0.176815 | − | 0.352201i | ||||
\(316\) | 9.66308 | − | 29.7399i | 0.543591 | − | 1.67300i | ||||
\(317\) | −22.4500 | + | 18.1797i | −1.26092 | + | 1.02107i | −0.262496 | + | 0.964933i | \(0.584546\pi\) |
−0.998423 | + | 0.0561385i | \(0.982121\pi\) | |||||||
\(318\) | −19.4798 | + | 5.21959i | −1.09237 | + | 0.292700i | ||||
\(319\) | −5.37036 | − | 12.0620i | −0.300682 | − | 0.675344i | ||||
\(320\) | 20.2344 | − | 1.26529i | 1.13114 | − | 0.0707318i | ||||
\(321\) | 6.60719 | + | 9.09402i | 0.368778 | + | 0.507579i | ||||
\(322\) | −10.3727 | − | 14.7699i | −0.578047 | − | 0.823094i | ||||
\(323\) | −11.3219 | − | 5.76879i | −0.629966 | − | 0.320984i | ||||
\(324\) | 37.7059 | − | 21.7695i | 2.09477 | − | 1.20942i | ||||
\(325\) | 26.9884 | + | 0.868769i | 1.49705 | + | 0.0481906i | ||||
\(326\) | −1.59439 | + | 2.76157i | −0.0883052 | + | 0.152949i | ||||
\(327\) | −1.12921 | − | 21.5465i | −0.0624452 | − | 1.19153i | ||||
\(328\) | 41.9378 | + | 6.64229i | 2.31563 | + | 0.366759i | ||||
\(329\) | 4.54886 | − | 5.43648i | 0.250787 | − | 0.299723i | ||||
\(330\) | 20.3656 | − | 10.6370i | 1.12109 | − | 0.585548i | ||||
\(331\) | 0.186826 | − | 1.77753i | 0.0102689 | − | 0.0977018i | −0.988187 | − | 0.153253i | \(-0.951025\pi\) |
0.998456 | + | 0.0555514i | \(0.0176917\pi\) | |||||||
\(332\) | 9.34803 | + | 34.8873i | 0.513040 | + | 1.91469i | ||||
\(333\) | 0.172196 | − | 0.448586i | 0.00943629 | − | 0.0245824i | ||||
\(334\) | −0.464405 | + | 0.0987122i | −0.0254111 | + | 0.00540129i | ||||
\(335\) | 16.0869 | + | 11.4416i | 0.878923 | + | 0.625123i | ||||
\(336\) | −0.675491 | − | 18.6010i | −0.0368510 | − | 1.01477i | ||||
\(337\) | −12.9437 | + | 6.59514i | −0.705088 | + | 0.359260i | −0.769486 | − | 0.638664i | \(-0.779487\pi\) |
0.0643976 | + | 0.997924i | \(0.479487\pi\) | |||||||
\(338\) | −21.3948 | + | 32.9450i | −1.16372 | + | 1.79197i | ||||
\(339\) | −12.5491 | − | 2.66740i | −0.681574 | − | 0.144873i | ||||
\(340\) | −23.4810 | + | 41.6350i | −1.27344 | + | 2.25797i | ||||
\(341\) | 3.04630 | + | 14.3317i | 0.164967 | + | 0.776107i | ||||
\(342\) | 6.58708 | − | 1.04329i | 0.356189 | − | 0.0564147i | ||||
\(343\) | −0.892015 | + | 18.4988i | −0.0481643 | + | 0.998839i | ||||
\(344\) | 15.1127 | − | 20.8008i | 0.814820 | − | 1.12150i | ||||
\(345\) | −8.17883 | − | 9.89419i | −0.440333 | − | 0.532685i | ||||
\(346\) | 11.0446 | − | 1.16084i | 0.593763 | − | 0.0624070i | ||||
\(347\) | 2.69478 | − | 3.32777i | 0.144663 | − | 0.178644i | −0.699664 | − | 0.714472i | \(-0.746667\pi\) |
0.844327 | + | 0.535828i | \(0.180000\pi\) | |||||||
\(348\) | −50.9298 | + | 2.66912i | −2.73012 | + | 0.143080i | ||||
\(349\) | −9.54903 | −0.511148 | −0.255574 | − | 0.966789i | \(-0.582264\pi\) | ||||
−0.255574 | + | 0.966789i | \(0.582264\pi\) | |||||||
\(350\) | 32.0954 | − | 1.81466i | 1.71557 | − | 0.0969977i | ||||
\(351\) | −20.0755 | −1.07155 | ||||||||
\(352\) | −1.85798 | + | 0.0973726i | −0.0990306 | + | 0.00518998i | ||||
\(353\) | 3.61094 | − | 4.45914i | 0.192191 | − | 0.237336i | −0.671937 | − | 0.740608i | \(-0.734537\pi\) |
0.864128 | + | 0.503272i | \(0.167871\pi\) | |||||||
\(354\) | 0.194663 | − | 0.0204599i | 0.0103462 | − | 0.00108743i | ||||
\(355\) | −25.5626 | + | 10.1097i | −1.35672 | + | 0.536566i | ||||
\(356\) | 5.51894 | − | 7.59616i | 0.292503 | − | 0.402596i | ||||
\(357\) | −25.4088 | − | 15.2191i | −1.34478 | − | 0.805478i | ||||
\(358\) | 39.1300 | − | 6.19758i | 2.06808 | − | 0.327552i | ||||
\(359\) | 2.36718 | + | 11.1367i | 0.124935 | + | 0.587772i | 0.995422 | + | 0.0955806i | \(0.0304708\pi\) |
−0.870487 | + | 0.492192i | \(0.836196\pi\) | |||||||
\(360\) | −1.40211 | − | 12.1587i | −0.0738977 | − | 0.640821i | ||||
\(361\) | 13.3140 | + | 2.82998i | 0.700736 | + | 0.148946i | ||||
\(362\) | 14.4643 | − | 22.2730i | 0.760224 | − | 1.17064i | ||||
\(363\) | 12.2540 | − | 6.24371i | 0.643167 | − | 0.327710i | ||||
\(364\) | −26.1272 | + | 49.3036i | −1.36944 | + | 2.58421i | ||||
\(365\) | 2.00144 | + | 5.95469i | 0.104760 | + | 0.311683i | ||||
\(366\) | −34.6141 | + | 7.35745i | −1.80931 | + | 0.384580i | ||||
\(367\) | 5.13732 | − | 13.3832i | 0.268166 | − | 0.698596i | −0.731690 | − | 0.681637i | \(-0.761268\pi\) |
0.999856 | − | 0.0169586i | \(-0.00539834\pi\) | |||||||
\(368\) | −2.49939 | − | 9.32784i | −0.130290 | − | 0.486248i | ||||
\(369\) | −1.13341 | + | 10.7837i | −0.0590031 | + | 0.561377i | ||||
\(370\) | 1.57724 | + | 1.54573i | 0.0819971 | + | 0.0803588i | ||||
\(371\) | 10.5761 | + | 1.84966i | 0.549081 | + | 0.0960298i | ||||
\(372\) | 55.8974 | + | 8.85327i | 2.89814 | + | 0.459021i | ||||
\(373\) | 1.32225 | + | 25.2300i | 0.0684634 | + | 1.30636i | 0.789624 | + | 0.613591i | \(0.210276\pi\) |
−0.721160 | + | 0.692768i | \(0.756391\pi\) | |||||||
\(374\) | 13.7517 | − | 23.8187i | 0.711085 | − | 1.23164i | ||||
\(375\) | 22.6565 | − | 3.07713i | 1.16998 | − | 0.158902i | ||||
\(376\) | 10.7421 | − | 6.20197i | 0.553983 | − | 0.319842i | ||||
\(377\) | 30.7280 | + | 15.6567i | 1.58257 | + | 0.806360i | ||||
\(378\) | −23.8062 | + | 2.11618i | −1.22446 | + | 0.108844i | ||||
\(379\) | −16.0800 | − | 22.1322i | −0.825974 | − | 1.13686i | −0.988659 | − | 0.150178i | \(-0.952015\pi\) |
0.162685 | − | 0.986678i | \(-0.447985\pi\) | |||||||
\(380\) | −5.04854 | + | 19.6317i | −0.258985 | + | 1.00708i | ||||
\(381\) | 0.0956418 | + | 0.214815i | 0.00489988 | + | 0.0110053i | ||||
\(382\) | −62.0693 | + | 16.6314i | −3.17574 | + | 0.850937i | ||||
\(383\) | −4.06720 | + | 3.29355i | −0.207824 | + | 0.168293i | −0.727581 | − | 0.686021i | \(-0.759356\pi\) |
0.519757 | + | 0.854314i | \(0.326022\pi\) | |||||||
\(384\) | −12.7865 | + | 39.3528i | −0.652509 | + | 2.00821i | ||||
\(385\) | −12.2190 | + | 0.567238i | −0.622739 | + | 0.0289091i | ||||
\(386\) | 9.65545 | + | 29.7164i | 0.491449 | + | 1.51253i | ||||
\(387\) | 5.50658 | + | 3.57601i | 0.279915 | + | 0.181779i | ||||
\(388\) | 3.40707 | − | 65.0108i | 0.172968 | − | 3.30042i | ||||
\(389\) | 3.49549 | − | 16.4450i | 0.177228 | − | 0.833793i | −0.796242 | − | 0.604978i | \(-0.793182\pi\) |
0.973470 | − | 0.228815i | \(-0.0734849\pi\) | |||||||
\(390\) | −23.8548 | + | 55.0675i | −1.20793 | + | 2.78845i | ||||
\(391\) | −14.6143 | − | 4.74848i | −0.739078 | − | 0.240141i | ||||
\(392\) | −12.5796 | + | 29.8667i | −0.635367 | + | 1.50850i | ||||
\(393\) | −6.51852 | + | 6.51852i | −0.328816 | + | 0.328816i | ||||
\(394\) | 30.9843 | + | 3.25658i | 1.56097 | + | 0.164064i | ||||
\(395\) | −11.1271 | + | 14.0279i | −0.559864 | + | 0.705819i | ||||
\(396\) | 0.997850 | + | 9.49391i | 0.0501439 | + | 0.477087i | ||||
\(397\) | 10.5952 | − | 4.06711i | 0.531757 | − | 0.204122i | −0.0776488 | − | 0.996981i | \(-0.524741\pi\) |
0.609406 | + | 0.792858i | \(0.291408\pi\) | |||||||
\(398\) | −1.80224 | + | 3.53709i | −0.0903380 | + | 0.177298i | ||||
\(399\) | −12.0783 | − | 3.44521i | −0.604673 | − | 0.172476i | ||||
\(400\) | 16.4624 | + | 4.98400i | 0.823119 | + | 0.249200i | ||||
\(401\) | −4.66262 | − | 8.07589i | −0.232840 | − | 0.403291i | 0.725803 | − | 0.687903i | \(-0.241469\pi\) |
−0.958643 | + | 0.284612i | \(0.908135\pi\) | |||||||
\(402\) | −36.7955 | + | 23.8953i | −1.83519 | + | 1.19179i | ||||
\(403\) | −29.7413 | − | 24.0840i | −1.48152 | − | 1.19971i | ||||
\(404\) | 11.1277 | + | 4.95436i | 0.553623 | + | 0.246489i | ||||
\(405\) | −24.5825 | + | 4.14817i | −1.22151 | + | 0.206124i | ||||
\(406\) | 38.0886 | + | 15.3271i | 1.89031 | + | 0.760674i | ||||
\(407\) | −0.594196 | − | 0.594196i | −0.0294532 | − | 0.0294532i | ||||
\(408\) | −32.6160 | − | 40.2775i | −1.61473 | − | 1.99403i | ||||
\(409\) | 17.4737 | + | 19.4066i | 0.864021 | + | 0.959592i | 0.999514 | − | 0.0311859i | \(-0.00992838\pi\) |
−0.135493 | + | 0.990778i | \(0.543262\pi\) | |||||||
\(410\) | −43.4077 | − | 24.4808i | −2.14375 | − | 1.20902i | ||||
\(411\) | 22.4594 | + | 20.2225i | 1.10784 | + | 0.997504i | ||||
\(412\) | 19.6841 | + | 38.6321i | 0.969764 | + | 1.90327i | ||||
\(413\) | −0.0985763 | − | 0.0337891i | −0.00485062 | − | 0.00166265i | ||||
\(414\) | 7.67033 | − | 2.49224i | 0.376976 | − | 0.122487i | ||||
\(415\) | 1.95410 | − | 20.5883i | 0.0959228 | − | 1.01064i | ||||
\(416\) | 3.61137 | − | 3.25170i | 0.177062 | − | 0.159428i | ||||
\(417\) | 40.3883 | + | 15.5036i | 1.97782 | + | 0.759215i | ||||
\(418\) | 3.01870 | − | 11.2659i | 0.147649 | − | 0.551035i | ||||
\(419\) | −17.0065 | − | 12.3559i | −0.830820 | − | 0.603626i | 0.0889711 | − | 0.996034i | \(-0.471642\pi\) |
−0.919791 | + | 0.392408i | \(0.871642\pi\) | |||||||
\(420\) | −14.8684 | + | 44.8473i | −0.725504 | + | 2.18833i | ||||
\(421\) | 8.22355 | − | 5.97476i | 0.400791 | − | 0.291192i | −0.369072 | − | 0.929401i | \(-0.620324\pi\) |
0.769863 | + | 0.638209i | \(0.220324\pi\) | |||||||
\(422\) | 3.89253 | + | 10.1404i | 0.189485 | + | 0.493626i | ||||
\(423\) | 1.72519 | + | 2.65656i | 0.0838815 | + | 0.129166i | ||||
\(424\) | 16.2704 | + | 9.39375i | 0.790163 | + | 0.456201i | ||||
\(425\) | 20.9184 | − | 17.6501i | 1.01469 | − | 0.856153i | ||||
\(426\) | − | 61.0941i | − | 2.96002i | ||||||
\(427\) | 18.3627 | + | 4.21245i | 0.888635 | + | 0.203855i | ||||
\(428\) | 3.35788 | − | 21.2008i | 0.162309 | − | 1.02478i | ||||
\(429\) | 9.28801 | − | 20.8612i | 0.448429 | − | 1.00719i | ||||
\(430\) | −25.1412 | + | 16.6899i | −1.21242 | + | 0.804860i | ||||
\(431\) | −10.3970 | + | 4.62906i | −0.500807 | + | 0.222974i | −0.641563 | − | 0.767071i | \(-0.721714\pi\) |
0.140755 | + | 0.990044i | \(0.455047\pi\) | |||||||
\(432\) | −12.3522 | − | 3.30976i | −0.594294 | − | 0.159241i | ||||
\(433\) | −1.69255 | − | 10.6864i | −0.0813389 | − | 0.513553i | −0.994396 | − | 0.105721i | \(-0.966285\pi\) |
0.913057 | − | 0.407832i | \(-0.133715\pi\) | |||||||
\(434\) | −37.8069 | − | 25.4246i | −1.81479 | − | 1.22042i | ||||
\(435\) | 27.8623 | + | 8.74320i | 1.33590 | + | 0.419204i | ||||
\(436\) | −27.5688 | + | 30.6183i | −1.32031 | + | 1.46635i | ||||
\(437\) | −6.50748 | − | 0.341043i | −0.311295 | − | 0.0163143i | ||||
\(438\) | −13.9426 | − | 0.730700i | −0.666203 | − | 0.0349142i | ||||
\(439\) | −3.84686 | + | 4.27237i | −0.183600 | + | 0.203909i | −0.827918 | − | 0.560849i | \(-0.810475\pi\) |
0.644318 | + | 0.764758i | \(0.277141\pi\) | |||||||
\(440\) | −20.4227 | − | 6.40865i | −0.973614 | − | 0.305520i | ||||
\(441\) | −7.78470 | − | 2.80888i | −0.370700 | − | 0.133756i | ||||
\(442\) | 11.2378 | + | 70.9529i | 0.534529 | + | 3.37488i | ||||
\(443\) | 25.7790 | + | 6.90746i | 1.22480 | + | 0.328183i | 0.812552 | − | 0.582889i | \(-0.198078\pi\) |
0.412246 | + | 0.911073i | \(0.364745\pi\) | |||||||
\(444\) | −2.96519 | + | 1.32019i | −0.140721 | + | 0.0626532i | ||||
\(445\) | −4.47914 | + | 2.97347i | −0.212332 | + | 0.140956i | ||||
\(446\) | −18.0082 | + | 40.4470i | −0.852712 | + | 1.91522i | ||||
\(447\) | 2.24773 | − | 14.1916i | 0.106314 | − | 0.671240i | ||||
\(448\) | 16.3356 | − | 17.5668i | 0.771787 | − | 0.829954i | ||||
\(449\) | 36.5758i | 1.72612i | 0.505103 | + | 0.863059i | \(0.331454\pi\) | ||||
−0.505103 | + | 0.863059i | \(0.668546\pi\) | |||||||
\(450\) | −3.43719 | + | 13.9477i | −0.162031 | + | 0.657503i | ||||
\(451\) | 16.4223 | + | 9.48143i | 0.773297 | + | 0.446463i | ||||
\(452\) | 13.3429 | + | 20.5463i | 0.627600 | + | 0.966419i | ||||
\(453\) | −14.3579 | − | 37.4035i | −0.674591 | − | 1.75737i | ||||
\(454\) | 21.7016 | − | 15.7671i | 1.01851 | − | 0.739989i | ||||
\(455\) | 23.8705 | − | 21.2364i | 1.11907 | − | 0.995577i | ||||
\(456\) | −17.7809 | − | 12.9186i | −0.832665 | − | 0.604967i | ||||
\(457\) | 4.98432 | − | 18.6017i | 0.233157 | − | 0.870152i | −0.745815 | − | 0.666154i | \(-0.767940\pi\) |
0.978971 | − | 0.203999i | \(-0.0653938\pi\) | |||||||
\(458\) | −45.2252 | − | 17.3603i | −2.11324 | − | 0.811195i | ||||
\(459\) | −15.1220 | + | 13.6159i | −0.705833 | + | 0.635535i | ||||
\(460\) | −2.31620 | + | 24.4034i | −0.107993 | + | 1.13781i | ||||
\(461\) | −1.32261 | + | 0.429741i | −0.0615999 | + | 0.0200150i | −0.339655 | − | 0.940550i | \(-0.610310\pi\) |
0.278055 | + | 0.960565i | \(0.410310\pi\) | |||||||
\(462\) | 8.81503 | − | 25.7170i | 0.410112 | − | 1.19646i | ||||
\(463\) | 0.899035 | + | 1.76446i | 0.0417817 | + | 0.0820012i | 0.910954 | − | 0.412509i | \(-0.135347\pi\) |
−0.869172 | + | 0.494510i | \(0.835347\pi\) | |||||||
\(464\) | 16.3252 | + | 14.6993i | 0.757880 | + | 0.682398i | ||||
\(465\) | −28.2258 | − | 15.9186i | −1.30894 | − | 0.738209i | ||||
\(466\) | −7.62390 | − | 8.46720i | −0.353170 | − | 0.392235i | ||||
\(467\) | −18.4577 | − | 22.7933i | −0.854120 | − | 1.05475i | −0.997876 | − | 0.0651367i | \(-0.979252\pi\) |
0.143757 | − | 0.989613i | \(-0.454082\pi\) | |||||||
\(468\) | −17.6311 | − | 17.6311i | −0.814996 | − | 0.814996i | ||||
\(469\) | 23.1258 | − | 3.28296i | 1.06785 | − | 0.151593i | ||||
\(470\) | −14.3553 | + | 2.42238i | −0.662161 | + | 0.111736i | ||||
\(471\) | 3.36801 | + | 1.49953i | 0.155190 | + | 0.0690949i | ||||
\(472\) | −0.141710 | − | 0.114754i | −0.00652273 | − | 0.00528200i | ||||
\(473\) | 9.63012 | − | 6.25388i | 0.442794 | − | 0.287554i | ||||
\(474\) | −19.8969 | − | 34.4624i | −0.913895 | − | 1.58291i | ||||
\(475\) | 6.63134 | − | 9.52573i | 0.304267 | − | 0.437070i | ||||
\(476\) | 13.7589 | + | 54.8585i | 0.630639 | + | 2.51443i | ||||
\(477\) | −2.17813 | + | 4.27482i | −0.0997296 | + | 0.195730i | ||||
\(478\) | −36.5413 | + | 14.0269i | −1.67136 | + | 0.641574i | ||||
\(479\) | −0.415418 | − | 3.95244i | −0.0189809 | − | 0.180592i | 0.980924 | − | 0.194393i | \(-0.0622736\pi\) |
−0.999905 | + | 0.0138009i | \(0.995607\pi\) | |||||||
\(480\) | 2.55718 | − | 3.22383i | 0.116719 | − | 0.147147i | ||||
\(481\) | 2.18284 | + | 0.229426i | 0.0995288 | + | 0.0104609i | ||||
\(482\) | 23.5071 | − | 23.5071i | 1.07072 | − | 1.07072i | ||||
\(483\) | −15.0783 | − | 1.83007i | −0.686085 | − | 0.0832712i | ||||
\(484\) | −24.9768 | − | 8.11545i | −1.13531 | − | 0.368884i | ||||
\(485\) | −14.8170 | + | 34.2042i | −0.672805 | + | 1.55313i | ||||
\(486\) | 5.88523 | − | 27.6878i | 0.266959 | − | 1.25595i | ||||
\(487\) | 0.308672 | − | 5.88982i | 0.0139873 | − | 0.266893i | −0.982680 | − | 0.185313i | \(-0.940670\pi\) |
0.996667 | − | 0.0815800i | \(-0.0259966\pi\) | |||||||
\(488\) | 27.6483 | + | 17.9550i | 1.25158 | + | 0.812786i | ||||
\(489\) | 0.829272 | + | 2.55224i | 0.0375010 | + | 0.115416i | ||||
\(490\) | 26.0679 | − | 27.6990i | 1.17763 | − | 1.25131i | ||||
\(491\) | −0.371409 | + | 1.14308i | −0.0167615 | + | 0.0515864i | −0.959087 | − | 0.283110i | \(-0.908634\pi\) |
0.942326 | + | 0.334697i | \(0.108634\pi\) | |||||||
\(492\) | 56.9224 | − | 46.0949i | 2.56626 | − | 2.07812i | ||||
\(493\) | 33.7648 | − | 9.04726i | 1.52069 | − | 0.407468i | ||||
\(494\) | 12.3908 | + | 27.8302i | 0.557488 | + | 1.25214i | ||||
\(495\) | 1.36138 | − | 5.29382i | 0.0611893 | − | 0.237940i | ||||
\(496\) | −14.3288 | − | 19.7219i | −0.643381 | − | 0.885537i | ||||
\(497\) | −13.7049 | + | 29.4973i | −0.614747 | + | 1.32314i | ||||
\(498\) | 40.9531 | + | 20.8666i | 1.83515 | + | 0.935057i | ||||
\(499\) | 13.6136 | − | 7.85984i | 0.609430 | − | 0.351855i | −0.163312 | − | 0.986574i | \(-0.552218\pi\) |
0.772742 | + | 0.634720i | \(0.218884\pi\) | |||||||
\(500\) | −34.7472 | − | 26.4373i | −1.55394 | − | 1.18231i | ||||
\(501\) | −0.199780 | + | 0.346029i | −0.00892551 | + | 0.0154594i | ||||
\(502\) | 0.000678977 | 0.0129557i | 3.03042e−5 | 0.000578239i | ||||||
\(503\) | −21.0385 | − | 3.33217i | −0.938061 | − | 0.148574i | −0.331360 | − | 0.943504i | \(-0.607507\pi\) |
−0.606701 | + | 0.794930i | \(0.707507\pi\) | |||||||
\(504\) | −11.1066 | − | 9.29323i | −0.494728 | − | 0.413953i | ||||
\(505\) | −4.98129 | − | 4.88177i | −0.221665 | − | 0.217236i | ||||
\(506\) | 1.47432 | − | 14.0273i | 0.0655417 | − | 0.623587i | ||||
\(507\) | 8.55628 | + | 31.9325i | 0.379998 | + | 1.41817i | ||||
\(508\) | 0.160915 | − | 0.419199i | 0.00713947 | − | 0.0185990i | ||||
\(509\) | 35.8127 | − | 7.61222i | 1.58737 | − | 0.337406i | 0.672167 | − | 0.740400i | \(-0.265364\pi\) |
0.915202 | + | 0.402994i | \(0.132031\pi\) | |||||||
\(510\) | 19.3799 | + | 57.6590i | 0.858156 | + | 2.55318i | ||||
\(511\) | 6.56782 | + | 3.48045i | 0.290543 | + | 0.153966i | ||||
\(512\) | 31.1392 | − | 15.8662i | 1.37617 | − | 0.701194i | ||||
\(513\) | −4.69980 | + | 7.23706i | −0.207501 | + | 0.319524i | ||||
\(514\) | 25.3301 | + | 5.38409i | 1.11726 | + | 0.237482i | ||||
\(515\) | −2.84405 | − | 24.6629i | −0.125324 | − | 1.08678i | ||||
\(516\) | −9.22139 | − | 43.3832i | −0.405949 | − | 1.90984i | ||||
\(517\) | 5.47139 | − | 0.866584i | 0.240632 | − | 0.0381123i | ||||
\(518\) | 2.61267 | + | 0.0419656i | 0.114794 | + | 0.00184386i | ||||
\(519\) | 5.49345 | − | 7.56109i | 0.241136 | − | 0.331895i | ||||
\(520\) | 51.9893 | − | 20.5611i | 2.27988 | − | 0.901663i | ||||
\(521\) | −21.6306 | + | 2.27346i | −0.947653 | + | 0.0996023i | −0.565729 | − | 0.824591i | \(-0.691405\pi\) |
−0.381924 | + | 0.924194i | \(0.624738\pi\) | |||||||
\(522\) | −11.5459 | + | 14.2580i | −0.505351 | + | 0.624056i | ||||
\(523\) | −8.55839 | + | 0.448526i | −0.374232 | + | 0.0196127i | −0.238525 | − | 0.971136i | \(-0.576664\pi\) |
−0.135707 | + | 0.990749i | \(0.543331\pi\) | |||||||
\(524\) | 17.6035 | 0.769012 | ||||||||
\(525\) | 16.9386 | − | 21.0946i | 0.739263 | − | 0.920643i | ||||
\(526\) | −5.02799 | −0.219231 | ||||||||
\(527\) | −38.7373 | + | 2.03014i | −1.68742 | + | 0.0884341i | ||||
\(528\) | 9.15407 | − | 11.3043i | 0.398380 | − | 0.491958i | ||||
\(529\) | 15.0369 | − | 1.58044i | 0.653777 | − | 0.0687147i | ||||
\(530\) | −14.0490 | − | 16.9956i | −0.610251 | − | 0.738240i | ||||
\(531\) | 0.0273706 | − | 0.0376724i | 0.00118778 | − | 0.00163484i | ||||
\(532\) | 11.6570 | + | 20.9609i | 0.505395 | + | 0.908771i | ||||
\(533\) | −48.9200 | + | 7.74816i | −2.11896 | + | 0.335610i | ||||
\(534\) | −2.48426 | − | 11.6875i | −0.107505 | − | 0.505770i | ||||
\(535\) | −6.03764 | + | 10.7055i | −0.261030 | + | 0.462840i | ||||
\(536\) | 39.9795 | + | 8.49790i | 1.72685 | + | 0.367053i | ||||
\(537\) | 18.1589 | − | 27.9622i | 0.783613 | − | 1.20666i | ||||
\(538\) | 7.49757 | − | 3.82020i | 0.323243 | − | 0.164701i | ||||
\(539\) | −10.0250 | + | 10.4392i | −0.431807 | + | 0.449648i | ||||
\(540\) | 26.4525 | + | 18.8140i | 1.13834 | + | 0.809628i | ||||
\(541\) | 29.8765 | − | 6.35044i | 1.28449 | − | 0.273027i | 0.485429 | − | 0.874276i | \(-0.338663\pi\) |
0.799062 | + | 0.601249i | \(0.205330\pi\) | |||||||
\(542\) | 2.84677 | − | 7.41610i | 0.122279 | − | 0.318549i | ||||
\(543\) | −5.78460 | − | 21.5884i | −0.248241 | − | 0.926448i | ||||
\(544\) | 0.514875 | − | 4.89871i | 0.0220751 | − | 0.210030i | ||||
\(545\) | 20.9108 | − | 10.9218i | 0.895722 | − | 0.467837i | ||||
\(546\) | 24.3789 | + | 66.6914i | 1.04332 | + | 2.85413i | ||||
\(547\) | 24.3901 | + | 3.86301i | 1.04285 | + | 0.165171i | 0.654281 | − | 0.756251i | \(-0.272971\pi\) |
0.388564 | + | 0.921422i | \(0.372971\pi\) | |||||||
\(548\) | −3.02036 | − | 57.6320i | −0.129023 | − | 2.46192i | ||||
\(549\) | −4.20935 | + | 7.29081i | −0.179651 | + | 0.311164i | ||||
\(550\) | 19.8386 | + | 15.4127i | 0.845922 | + | 0.657199i | ||||
\(551\) | 12.8377 | − | 7.41185i | 0.546905 | − | 0.315756i | ||||
\(552\) | −23.6816 | − | 12.0664i | −1.00796 | − | 0.513579i | ||||
\(553\) | 1.87583 | + | 21.1024i | 0.0797685 | + | 0.897366i | ||||
\(554\) | −46.6996 | − | 64.2766i | −1.98408 | − | 2.73085i | ||||
\(555\) | 1.85489 | − | 0.115989i | 0.0787357 | − | 0.00492346i | ||||
\(556\) | −33.6009 | − | 75.4689i | −1.42500 | − | 3.20059i | ||||
\(557\) | 10.8276 | − | 2.90126i | 0.458782 | − | 0.122930i | −0.0220239 | − | 0.999757i | \(-0.507011\pi\) |
0.480806 | + | 0.876827i | \(0.340344\pi\) | |||||||
\(558\) | 15.8221 | − | 12.8125i | 0.669801 | − | 0.542394i | ||||
\(559\) | −9.26799 | + | 28.5239i | −0.391994 | + | 1.20643i | ||||
\(560\) | 18.1883 | − | 9.13103i | 0.768596 | − | 0.385856i | ||||
\(561\) | −7.15253 | − | 22.0132i | −0.301980 | − | 0.929400i | ||||
\(562\) | 38.0081 | + | 24.6828i | 1.60328 | + | 1.04118i | ||||
\(563\) | 1.91065 | − | 36.4575i | 0.0805245 | − | 1.53650i | −0.597746 | − | 0.801686i | \(-0.703937\pi\) |
0.678270 | − | 0.734813i | \(-0.262730\pi\) | |||||||
\(564\) | 4.44871 | − | 20.9295i | 0.187324 | − | 0.881292i | ||||
\(565\) | −3.05483 | − | 13.6911i | −0.128518 | − | 0.575987i | ||||
\(566\) | −53.1710 | − | 17.2763i | −2.23494 | − | 0.726178i | ||||
\(567\) | −17.7193 | + | 23.5825i | −0.744140 | + | 0.990374i | ||||
\(568\) | −40.2451 | + | 40.2451i | −1.68865 | + | 1.68865i | ||||
\(569\) | −2.14347 | − | 0.225288i | −0.0898589 | − | 0.00944455i | 0.0594923 | − | 0.998229i | \(-0.481052\pi\) |
−0.149351 | + | 0.988784i | \(0.547718\pi\) | |||||||
\(570\) | 14.2668 | + | 21.4911i | 0.597572 | + | 0.900163i | ||||
\(571\) | −1.57584 | − | 14.9931i | −0.0659469 | − | 0.627443i | −0.976717 | − | 0.214530i | \(-0.931178\pi\) |
0.910770 | − | 0.412913i | \(-0.135489\pi\) | |||||||
\(572\) | −40.7095 | + | 15.6269i | −1.70215 | + | 0.653394i | ||||
\(573\) | −24.5510 | + | 48.1841i | −1.02563 | + | 2.01292i | ||||
\(574\) | −57.1942 | + | 14.3447i | −2.38724 | + | 0.598737i | ||||
\(575\) | 6.11852 | − | 12.6322i | 0.255160 | − | 0.526797i | ||||
\(576\) | 5.35973 | + | 9.28333i | 0.223322 | + | 0.386805i | ||||
\(577\) | −5.05336 | + | 3.28169i | −0.210374 | + | 0.136618i | −0.645525 | − | 0.763739i | \(-0.723362\pi\) |
0.435151 | + | 0.900357i | \(0.356695\pi\) | |||||||
\(578\) | 24.4829 | + | 19.8259i | 1.01835 | + | 0.824647i | ||||
\(579\) | 24.0221 | + | 10.6953i | 0.998322 | + | 0.444482i | ||||
\(580\) | −25.8159 | − | 49.4272i | −1.07195 | − | 2.05235i | ||||
\(581\) | −15.0920 | − | 19.2615i | −0.626122 | − | 0.799103i | ||||
\(582\) | −58.5798 | − | 58.5798i | −2.42821 | − | 2.42821i | ||||
\(583\) | 5.28030 | + | 6.52063i | 0.218688 | + | 0.270057i | ||||
\(584\) | 8.70320 | + | 9.66589i | 0.360141 | + | 0.399977i | ||||
\(585\) | 5.93829 | + | 12.9835i | 0.245518 | + | 0.536800i | ||||
\(586\) | −16.2482 | − | 14.6300i | −0.671208 | − | 0.604359i | ||||
\(587\) | −12.1632 | − | 23.8716i | −0.502028 | − | 0.985284i | −0.993440 | − | 0.114357i | \(-0.963519\pi\) |
0.491412 | − | 0.870927i | \(-0.336481\pi\) | |||||||
\(588\) | 23.7672 | + | 50.6005i | 0.980142 | + | 2.08673i | ||||
\(589\) | −15.6447 | + | 5.08327i | −0.644629 | + | 0.209453i | ||||
\(590\) | 0.108873 | + | 0.184254i | 0.00448223 | + | 0.00758564i | ||||
\(591\) | 19.4846 | − | 17.5440i | 0.801488 | − | 0.721663i | ||||
\(592\) | 1.30524 | + | 0.501037i | 0.0536452 | + | 0.0205925i | ||||
\(593\) | −7.52966 | + | 28.1011i | −0.309206 | + | 1.15397i | 0.620058 | + | 0.784556i | \(0.287109\pi\) |
−0.929264 | + | 0.369416i | \(0.879558\pi\) | |||||||
\(594\) | −15.1105 | − | 10.9784i | −0.619990 | − | 0.450449i | ||||
\(595\) | 3.57732 | − | 32.1861i | 0.146656 | − | 1.31950i | ||||
\(596\) | −22.1975 | + | 16.1274i | −0.909245 | + | 0.660605i | ||||
\(597\) | 1.19725 | + | 3.11894i | 0.0490001 | + | 0.127650i | ||||
\(598\) | 20.0646 | + | 30.8967i | 0.820501 | + | 1.26346i | ||||
\(599\) | 16.2419 | + | 9.37728i | 0.663627 | + | 0.383145i | 0.793658 | − | 0.608365i | \(-0.208174\pi\) |
−0.130031 | + | 0.991510i | \(0.541508\pi\) | |||||||
\(600\) | 40.5117 | − | 24.4925i | 1.65388 | − | 0.999902i | ||||
\(601\) | − | 1.56485i | − | 0.0638318i | −0.999491 | − | 0.0319159i | \(-0.989839\pi\) | ||
0.999491 | − | 0.0319159i | \(-0.0101609\pi\) | |||||||
\(602\) | −7.98356 | + | 34.8016i | −0.325385 | + | 1.41841i | ||||
\(603\) | −1.63280 | + | 10.3091i | −0.0664927 | + | 0.419819i | ||||
\(604\) | −31.1178 | + | 69.8916i | −1.26616 | + | 2.84385i | ||||
\(605\) | 11.7812 | + | 9.34499i | 0.478974 | + | 0.379928i | ||||
\(606\) | 14.1608 | − | 6.30478i | 0.575242 | − | 0.256114i | ||||
\(607\) | −3.43453 | − | 0.920280i | −0.139403 | − | 0.0373530i | 0.188443 | − | 0.982084i | \(-0.439656\pi\) |
−0.327846 | + | 0.944731i | \(0.606323\pi\) | |||||||
\(608\) | −0.326765 | − | 2.06311i | −0.0132521 | − | 0.0836703i | ||||
\(609\) | 31.0342 | − | 15.1899i | 1.25757 | − | 0.615526i | ||||
\(610\) | −23.0576 | − | 31.0718i | −0.933574 | − | 1.25806i | ||||
\(611\) | −9.68170 | + | 10.7526i | −0.391680 | + | 0.435004i | ||||
\(612\) | −25.2386 | − | 1.32270i | −1.02021 | − | 0.0534670i | ||||
\(613\) | 0.922284 | + | 0.0483349i | 0.0372507 | + | 0.00195223i | 0.0709522 | − | 0.997480i | \(-0.477396\pi\) |
−0.0337015 | + | 0.999432i | \(0.510730\pi\) | |||||||
\(614\) | 43.1801 | − | 47.9563i | 1.74261 | − | 1.93536i | ||||
\(615\) | −39.7542 | + | 13.3619i | −1.60304 | + | 0.538803i | ||||
\(616\) | −22.7476 | + | 11.1340i | −0.916528 | + | 0.448601i | ||||
\(617\) | −6.94866 | − | 43.8721i | −0.279743 | − | 1.76622i | −0.582184 | − | 0.813057i | \(-0.697802\pi\) |
0.302442 | − | 0.953168i | \(-0.402198\pi\) | |||||||
\(618\) | 53.2959 | + | 14.2806i | 2.14388 | + | 0.574450i | ||||
\(619\) | −4.37292 | + | 1.94695i | −0.175763 | + | 0.0782546i | −0.492732 | − | 0.870181i | \(-0.664002\pi\) |
0.316969 | + | 0.948436i | \(0.397335\pi\) | |||||||
\(620\) | 16.6180 | + | 59.6068i | 0.667395 | + | 2.39387i | ||||
\(621\) | −4.24442 | + | 9.53313i | −0.170323 | + | 0.382551i | ||||
\(622\) | −0.402296 | + | 2.54000i | −0.0161306 | + | 0.101845i | ||||
\(623\) | −1.42235 | + | 6.20023i | −0.0569851 | + | 0.248407i | ||||
\(624\) | 37.9931i | 1.52094i | ||||||||
\(625\) | 13.3634 | + | 21.1286i | 0.534537 | + | 0.845145i | ||||
\(626\) | 39.7538 | + | 22.9519i | 1.58888 | + | 0.917342i | ||||
\(627\) | −5.34592 | − | 8.23199i | −0.213495 | − | 0.328754i | ||||
\(628\) | −2.52294 | − | 6.57248i | −0.100676 | − | 0.262270i | ||||
\(629\) | 1.79984 | − | 1.30766i | 0.0717642 | − | 0.0521397i | ||||
\(630\) | 8.41042 | + | 14.7702i | 0.335079 | + | 0.588461i | ||||
\(631\) | 6.66704 | + | 4.84388i | 0.265410 | + | 0.192832i | 0.712529 | − | 0.701643i | \(-0.247550\pi\) |
−0.447118 | + | 0.894475i | \(0.647550\pi\) | |||||||
\(632\) | −9.59490 | + | 35.8087i | −0.381665 | + | 1.42439i | ||||
\(633\) | 8.53384 | + | 3.27583i | 0.339190 | + | 0.130203i | ||||
\(634\) | 52.1680 | − | 46.9723i | 2.07186 | − | 1.86551i | ||||
\(635\) | −0.170101 | + | 0.192793i | −0.00675025 | + | 0.00765077i | ||||
\(636\) | 30.8227 | − | 10.0149i | 1.22220 | − | 0.397117i | ||||
\(637\) | 3.18990 | − | 37.6686i | 0.126389 | − | 1.49248i | ||||
\(638\) | 14.5664 | + | 28.5882i | 0.576691 | + | 1.13182i | ||||
\(639\) | −10.8011 | − | 9.72539i | −0.427286 | − | 0.384730i | ||||
\(640\) | −44.9448 | + | 5.18291i | −1.77660 | + | 0.204872i | ||||
\(641\) | −26.1981 | − | 29.0960i | −1.03476 | − | 1.14922i | −0.988642 | − | 0.150287i | \(-0.951980\pi\) |
−0.0461221 | − | 0.998936i | \(-0.514686\pi\) | |||||||
\(642\) | −17.1904 | − | 21.2284i | −0.678452 | − | 0.837818i | ||||
\(643\) | 27.4043 | + | 27.4043i | 1.08072 | + | 1.08072i | 0.996442 | + | 0.0842787i | \(0.0268586\pi\) |
0.0842787 | + | 0.996442i | \(0.473141\pi\) | |||||||
\(644\) | 17.8886 | + | 22.8308i | 0.704909 | + | 0.899658i | ||||
\(645\) | −3.71948 | + | 25.1219i | −0.146455 | + | 0.989175i | ||||
\(646\) | 28.2088 | + | 12.5594i | 1.10986 | + | 0.494141i | ||||
\(647\) | −14.1821 | − | 11.4845i | −0.557557 | − | 0.451501i | 0.308657 | − | 0.951173i | \(-0.400120\pi\) |
−0.866214 | + | 0.499673i | \(0.833454\pi\) | |||||||
\(648\) | −43.2894 | + | 28.1125i | −1.70057 | + | 1.10436i | ||||
\(649\) | −0.0407179 | − | 0.0705255i | −0.00159832 | − | 0.00276837i | ||||
\(650\) | −65.6041 | + | 1.32411i | −2.57320 | + | 0.0519358i | ||||
\(651\) | −37.1905 | + | 9.32766i | −1.45761 | + | 0.365580i | ||||
\(652\) | 2.32646 | − | 4.56594i | 0.0911113 | − | 0.178816i | ||||
\(653\) | −14.3960 | + | 5.52612i | −0.563361 | + | 0.216254i | −0.623347 | − | 0.781945i | \(-0.714228\pi\) |
0.0599863 | + | 0.998199i | \(0.480894\pi\) | |||||||
\(654\) | 5.48055 | + | 52.1439i | 0.214306 | + | 2.03899i | ||||
\(655\) | −9.44607 | − | 3.51707i | −0.369089 | − | 0.137423i | ||||
\(656\) | −31.3772 | − | 3.29787i | −1.22507 | − | 0.128760i | ||||
\(657\) | −2.34866 | + | 2.34866i | −0.0916301 | + | 0.0916301i | ||||
\(658\) | −10.3474 | + | 13.7714i | −0.403385 | + | 0.536864i | ||||
\(659\) | −18.2922 | − | 5.94351i | −0.712564 | − | 0.231526i | −0.0697679 | − | 0.997563i | \(-0.522226\pi\) |
−0.642796 | + | 0.766037i | \(0.722226\pi\) | |||||||
\(660\) | −31.7888 | + | 18.7834i | −1.23738 | + | 0.731144i | ||||
\(661\) | −6.95450 | + | 32.7184i | −0.270499 | + | 1.27260i | 0.607648 | + | 0.794206i | \(0.292113\pi\) |
−0.878147 | + | 0.478391i | \(0.841220\pi\) | |||||||
\(662\) | −0.227310 | + | 4.33733i | −0.00883466 | + | 0.168575i | ||||
\(663\) | 50.7028 | + | 32.9268i | 1.96913 | + | 1.27877i | ||||
\(664\) | −13.2318 | − | 40.7231i | −0.513491 | − | 1.58036i | ||||
\(665\) | −2.06732 | − | 13.5767i | −0.0801671 | − | 0.526481i | ||||
\(666\) | −0.360822 | + | 1.11050i | −0.0139816 | + | 0.0430308i | ||||
\(667\) | 13.9314 | − | 11.2814i | 0.539425 | − | 0.436818i | ||||
\(668\) | 0.736988 | − | 0.197475i | 0.0285149 | − | 0.00764055i | ||||
\(669\) | 15.1551 | + | 34.0390i | 0.585932 | + | 1.31602i | ||||
\(670\) | −40.4938 | − | 25.7198i | −1.56441 | − | 0.993643i | ||||
\(671\) | 8.65394 | + | 11.9111i | 0.334082 | + | 0.459824i | ||||
\(672\) | −0.431096 | − | 4.84968i | −0.0166299 | − | 0.187080i | ||||
\(673\) | 6.40269 | + | 3.26233i | 0.246806 | + | 0.125754i | 0.573018 | − | 0.819543i | \(-0.305772\pi\) |
−0.326212 | + | 0.945296i | \(0.605772\pi\) | |||||||
\(674\) | 30.5721 | − | 17.6508i | 1.17759 | − | 0.679883i | ||||
\(675\) | −10.4356 | − | 15.3807i | −0.401665 | − | 0.592004i | ||||
\(676\) | 31.5641 | − | 54.6706i | 1.21400 | − | 2.10271i | ||||
\(677\) | 1.93963 | + | 37.0104i | 0.0745462 | + | 1.42243i | 0.738299 | + | 0.674474i | \(0.235630\pi\) |
−0.663752 | + | 0.747952i | \(0.731037\pi\) | |||||||
\(678\) | 30.7925 | + | 4.87706i | 1.18258 | + | 0.187302i | ||||
\(679\) | 15.1425 | + | 41.4242i | 0.581117 | + | 1.58972i | ||||
\(680\) | 25.2160 | − | 50.7486i | 0.966988 | − | 1.94612i | ||||
\(681\) | 2.35971 | − | 22.4512i | 0.0904243 | − | 0.860330i | ||||
\(682\) | −9.21525 | − | 34.3918i | −0.352870 | − | 1.31693i | ||||
\(683\) | −3.23434 | + | 8.42575i | −0.123759 | + | 0.322402i | −0.981437 | − | 0.191784i | \(-0.938573\pi\) |
0.857678 | + | 0.514186i | \(0.171906\pi\) | |||||||
\(684\) | −10.4834 | + | 2.22831i | −0.400843 | + | 0.0852017i | ||||
\(685\) | −9.89378 | + | 31.5289i | −0.378022 | + | 1.20466i | ||||
\(686\) | −0.187983 | − | 45.0049i | −0.00717723 | − | 1.71829i | ||||
\(687\) | −36.3245 | + | 18.5083i | −1.38587 | + | 0.706134i | ||||
\(688\) | −10.4051 | + | 16.0224i | −0.396690 | + | 0.610848i | ||||
\(689\) | −21.4365 | − | 4.55647i | −0.816666 | − | 0.173588i | ||||
\(690\) | 21.1061 | + | 22.9703i | 0.803496 | + | 0.874465i | ||||
\(691\) | 6.16559 | + | 29.0068i | 0.234550 | + | 1.10347i | 0.924963 | + | 0.380057i | \(0.124096\pi\) |
−0.690413 | + | 0.723416i | \(0.742571\pi\) | |||||||
\(692\) | −17.6271 | + | 2.79186i | −0.670082 | + | 0.106131i | ||||
\(693\) | −3.14340 | − | 5.65227i | −0.119408 | − | 0.214712i | ||||
\(694\) | −6.11626 | + | 8.41831i | −0.232170 | + | 0.319555i | ||||
\(695\) | 2.95212 | + | 47.2101i | 0.111980 | + | 1.79078i | ||||
\(696\) | 60.1302 | − | 6.31994i | 2.27923 | − | 0.239557i | ||||
\(697\) | −31.5941 | + | 39.0155i | −1.19671 | + | 1.47782i | ||||
\(698\) | 23.1729 | − | 1.21444i | 0.877107 | − | 0.0459672i | ||||
\(699\) | −9.58862 | −0.362675 | ||||||||
\(700\) | −51.3550 | + | 5.61162i | −1.94104 | + | 0.212099i | ||||
\(701\) | −14.4601 | −0.546149 | −0.273075 | − | 0.961993i | \(-0.588041\pi\) | ||||
−0.273075 | + | 0.961993i | \(0.588041\pi\) | |||||||
\(702\) | 48.7178 | − | 2.55319i | 1.83873 | − | 0.0963640i | ||||
\(703\) | 0.593722 | − | 0.733185i | 0.0223926 | − | 0.0276526i | ||||
\(704\) | 18.6439 | − | 1.95956i | 0.702670 | − | 0.0738536i | ||||
\(705\) | −6.56878 | + | 10.3420i | −0.247395 | + | 0.389503i | ||||
\(706\) | −8.19565 | + | 11.2803i | −0.308448 | + | 0.424542i | ||||
\(707\) | −8.25138 | − | 0.132537i | −0.310325 | − | 0.00498456i | ||||
\(708\) | −0.310680 | + | 0.0492068i | −0.0116761 | + | 0.00184931i | ||||
\(709\) | −4.65117 | − | 21.8820i | −0.174678 | − | 0.821797i | −0.974996 | − | 0.222221i | \(-0.928669\pi\) |
0.800318 | − | 0.599576i | \(-0.204664\pi\) | |||||||
\(710\) | 60.7478 | − | 27.7845i | 2.27982 | − | 1.04273i | ||||
\(711\) | −9.26012 | − | 1.96830i | −0.347282 | − | 0.0738170i | ||||
\(712\) | −6.06257 | + | 9.33554i | −0.227204 | + | 0.349864i | ||||
\(713\) | −17.7246 | + | 9.03114i | −0.663792 | + | 0.338219i | ||||
\(714\) | 63.5959 | + | 33.7010i | 2.38002 | + | 1.26123i | ||||
\(715\) | 24.9670 | − | 0.251933i | 0.933712 | − | 0.00942174i | ||||
\(716\) | −62.2757 | + | 13.2371i | −2.32735 | + | 0.494694i | ||||
\(717\) | −11.8046 | + | 30.7520i | −0.440851 | + | 1.14846i | ||||
\(718\) | −7.16085 | − | 26.7247i | −0.267241 | − | 0.997356i | ||||
\(719\) | −1.98137 | + | 18.8514i | −0.0738925 | + | 0.703040i | 0.893380 | + | 0.449301i | \(0.148327\pi\) |
−0.967273 | + | 0.253739i | \(0.918340\pi\) | |||||||
\(720\) | 1.51323 | + | 8.96755i | 0.0563947 | + | 0.334201i | ||||
\(721\) | −22.5287 | − | 18.8505i | −0.839014 | − | 0.702028i | ||||
\(722\) | −32.6693 | − | 5.17431i | −1.21583 | − | 0.192568i | ||||
\(723\) | −1.46421 | − | 27.9388i | −0.0544546 | − | 1.03906i | ||||
\(724\) | −21.3394 | + | 36.9609i | −0.793071 | + | 1.37364i | ||||
\(725\) | 3.97763 | + | 31.6806i | 0.147725 | + | 1.17659i | ||||
\(726\) | −28.9430 | + | 16.7102i | −1.07417 | + | 0.620175i | ||||
\(727\) | −12.3162 | − | 6.27543i | −0.456783 | − | 0.232743i | 0.210431 | − | 0.977609i | \(-0.432513\pi\) |
−0.667214 | + | 0.744866i | \(0.732513\pi\) | |||||||
\(728\) | 27.8730 | − | 59.9917i | 1.03304 | − | 2.22344i | ||||
\(729\) | 5.65765 | + | 7.78708i | 0.209543 | + | 0.288411i | ||||
\(730\) | −5.61427 | − | 14.1959i | −0.207794 | − | 0.525412i | ||||
\(731\) | 12.3647 | + | 27.7716i | 0.457326 | + | 1.02717i | ||||
\(732\) | 54.9308 | − | 14.7187i | 2.03030 | − | 0.544018i | ||||
\(733\) | 8.73375 | − | 7.07245i | 0.322588 | − | 0.261227i | −0.454323 | − | 0.890837i | \(-0.650119\pi\) |
0.776911 | + | 0.629610i | \(0.216785\pi\) | |||||||
\(734\) | −10.7648 | + | 33.1307i | −0.397336 | + | 1.22287i | ||||
\(735\) | −2.64385 | − | 31.9009i | −0.0975200 | − | 1.17668i | ||||
\(736\) | −0.780585 | − | 2.40239i | −0.0287728 | − | 0.0885534i | ||||
\(737\) | 15.3088 | + | 9.94167i | 0.563908 | + | 0.366206i | ||||
\(738\) | 1.37902 | − | 26.3132i | 0.0507624 | − | 0.968604i | ||||
\(739\) | 2.04019 | − | 9.59835i | 0.0750497 | − | 0.353081i | −0.924559 | − | 0.381038i | \(-0.875567\pi\) |
0.999609 | + | 0.0279568i | \(0.00890010\pi\) | |||||||
\(740\) | −2.66121 | − | 2.34798i | −0.0978281 | − | 0.0863135i | ||||
\(741\) | 24.3827 | + | 7.92243i | 0.895722 | + | 0.291038i | ||||
\(742\) | −25.9004 | − | 3.14357i | −0.950835 | − | 0.115404i | ||||
\(743\) | −5.96596 | + | 5.96596i | −0.218870 | + | 0.218870i | −0.808022 | − | 0.589152i | \(-0.799462\pi\) |
0.589152 | + | 0.808022i | \(0.299462\pi\) | |||||||
\(744\) | −66.7263 | − | 7.01322i | −2.44630 | − | 0.257117i | ||||
\(745\) | 15.1334 | − | 4.21909i | 0.554445 | − | 0.154576i | ||||
\(746\) | −6.41747 | − | 61.0581i | −0.234960 | − | 2.23550i | ||||
\(747\) | 10.2083 | − | 3.91861i | 0.373503 | − | 0.143374i | ||||
\(748\) | −20.0659 | + | 39.3816i | −0.733682 | + | 1.43993i | ||||
\(749\) | 3.53781 | + | 14.1057i | 0.129269 | + | 0.515410i | ||||
\(750\) | −54.5897 | + | 10.3488i | −1.99334 | + | 0.377884i | ||||
\(751\) | −9.24200 | − | 16.0076i | −0.337245 | − | 0.584126i | 0.646668 | − | 0.762771i | \(-0.276162\pi\) |
−0.983914 | + | 0.178645i | \(0.942829\pi\) | |||||||
\(752\) | −7.72975 | + | 5.01976i | −0.281875 | + | 0.183052i | ||||
\(753\) | 0.00848492 | + | 0.00687095i | 0.000309208 | + | 0.000250391i | ||||
\(754\) | −76.5596 | − | 34.0865i | −2.78813 | − | 1.24136i | ||||
\(755\) | 30.6618 | − | 31.2869i | 1.11590 | − | 1.13865i | ||||
\(756\) | 38.0269 | − | 5.39834i | 1.38303 | − | 0.196336i | ||||
\(757\) | 16.1216 | + | 16.1216i | 0.585951 | + | 0.585951i | 0.936532 | − | 0.350581i | \(-0.114016\pi\) |
−0.350581 | + | 0.936532i | \(0.614016\pi\) | |||||||
\(758\) | 41.8365 | + | 51.6638i | 1.51957 | + | 1.87651i | ||||
\(759\) | −7.94254 | − | 8.82108i | −0.288296 | − | 0.320185i | ||||
\(760\) | 4.75892 | − | 23.5552i | 0.172624 | − | 0.854437i | ||||
\(761\) | 12.2468 | + | 11.0270i | 0.443945 | + | 0.399730i | 0.860557 | − | 0.509355i | \(-0.170116\pi\) |
−0.416612 | + | 0.909085i | \(0.636783\pi\) | |||||||
\(762\) | −0.259416 | − | 0.509133i | −0.00939767 | − | 0.0184440i | ||||
\(763\) | 9.05101 | − | 26.4054i | 0.327669 | − | 0.955940i | ||||
\(764\) | 98.2118 | − | 31.9110i | 3.55318 | − | 1.15450i | ||||
\(765\) | 13.2789 | + | 5.75229i | 0.480098 | + | 0.207975i | ||||
\(766\) | 9.45111 | − | 8.50981i | 0.341482 | − | 0.307472i | ||||
\(767\) | 0.198578 | + | 0.0762268i | 0.00717022 | + | 0.00275239i | ||||
\(768\) | 16.4264 | − | 61.3040i | 0.592736 | − | 2.21212i | ||||
\(769\) | 26.4586 | + | 19.2233i | 0.954122 | + | 0.693210i | 0.951778 | − | 0.306787i | \(-0.0992539\pi\) |
0.00234391 | + | 0.999997i | \(0.499254\pi\) | |||||||
\(770\) | 29.5801 | − | 2.93054i | 1.06599 | − | 0.105609i | ||||
\(771\) | 17.6312 | − | 12.8098i | 0.634970 | − | 0.461333i | ||||
\(772\) | −17.9947 | − | 46.8777i | −0.647642 | − | 1.68716i | ||||
\(773\) | −22.6802 | − | 34.9245i | −0.815751 | − | 1.25615i | −0.963656 | − | 0.267145i | \(-0.913920\pi\) |
0.147906 | − | 0.989001i | \(-0.452747\pi\) | |||||||
\(774\) | −13.8177 | − | 7.97768i | −0.496669 | − | 0.286752i | ||||
\(775\) | 2.99181 | − | 35.3053i | 0.107469 | − | 1.26821i | ||||
\(776\) | 77.1777i | 2.77052i | ||||||||
\(777\) | 1.49749 | − | 1.61035i | 0.0537221 | − | 0.0577710i | ||||
\(778\) | −6.39113 | + | 40.3520i | −0.229133 | + | 1.44669i | ||||
\(779\) | −8.65932 | + | 19.4491i | −0.310252 | + | 0.696838i | ||||
\(780\) | 33.6514 | − | 90.3803i | 1.20491 | − | 3.23613i | ||||
\(781\) | −23.2208 | + | 10.3386i | −0.830904 | + | 0.369942i | ||||
\(782\) | 36.0689 | + | 9.66463i | 1.28982 | + | 0.345606i | ||||
\(783\) | −3.71352 | − | 23.4463i | −0.132711 | − | 0.837901i | ||||
\(784\) | 8.17294 | − | 22.6510i | 0.291891 | − | 0.808966i | ||||
\(785\) | 0.0406741 | + | 4.03088i | 0.00145172 | + | 0.143868i | ||||
\(786\) | 14.9897 | − | 16.6477i | 0.534663 | − | 0.593804i | ||||
\(787\) | 34.8845 | + | 1.82822i | 1.24350 | + | 0.0651690i | 0.662704 | − | 0.748882i | \(-0.269409\pi\) |
0.580794 | + | 0.814050i | \(0.302742\pi\) | |||||||
\(788\) | −49.9984 | − | 2.62030i | −1.78112 | − | 0.0933445i | ||||
\(789\) | −2.83136 | + | 3.14455i | −0.100799 | + | 0.111949i | ||||
\(790\) | 25.2183 | − | 35.4570i | 0.897228 | − | 1.26150i | ||||
\(791\) | −13.7731 | − | 9.26222i | −0.489716 | − | 0.329327i | ||||
\(792\) | −1.77041 | − | 11.1779i | −0.0629089 | − | 0.397191i | ||||
\(793\) | −37.1451 | − | 9.95300i | −1.31906 | − | 0.353442i | ||||
\(794\) | −25.1944 | + | 11.2173i | −0.894115 | + | 0.398086i | ||||
\(795\) | −18.5404 | − | 0.784164i | −0.657562 | − | 0.0278114i | ||||
\(796\) | 2.59479 | − | 5.82800i | 0.0919700 | − | 0.206568i | ||||
\(797\) | 4.32443 | − | 27.3034i | 0.153179 | − | 0.967136i | −0.784625 | − | 0.619971i | \(-0.787144\pi\) |
0.937804 | − | 0.347165i | \(-0.112856\pi\) | |||||||
\(798\) | 29.7490 | + | 6.82448i | 1.05310 | + | 0.241584i | ||||
\(799\) | 14.6659i | 0.518842i | ||||||||
\(800\) | 4.36852 | + | 1.07655i | 0.154450 | + | 0.0380617i | ||||
\(801\) | −2.46176 | − | 1.42130i | −0.0869821 | − | 0.0502192i | ||||
\(802\) | 12.3420 | + | 19.0050i | 0.435811 | + | 0.671090i | ||||
\(803\) | 2.08169 | + | 5.42298i | 0.0734612 | + | 0.191373i | ||||
\(804\) | 57.0408 | − | 41.4426i | 2.01167 | − | 1.46157i | ||||
\(805\) | −5.03762 | − | 15.8251i | −0.177553 | − | 0.557761i | ||||
\(806\) | 75.2369 | + | 54.6628i | 2.65011 | + | 1.92542i | ||||
\(807\) | 1.83284 | − | 6.84027i | 0.0645192 | − | 0.240789i | ||||
\(808\) | −13.4815 | − | 5.17505i | −0.474277 | − | 0.182058i | ||||
\(809\) | −8.94230 | + | 8.05168i | −0.314394 | + | 0.283082i | −0.811186 | − | 0.584788i | \(-0.801178\pi\) |
0.496792 | + | 0.867870i | \(0.334511\pi\) | |||||||
\(810\) | 59.1275 | − | 13.1929i | 2.07753 | − | 0.463550i | ||||
\(811\) | −5.66612 | + | 1.84103i | −0.198964 | + | 0.0646475i | −0.406804 | − | 0.913515i | \(-0.633357\pi\) |
0.207840 | + | 0.978163i | \(0.433357\pi\) | |||||||
\(812\) | −62.4148 | − | 21.3940i | −2.19033 | − | 0.750782i | ||||
\(813\) | −3.03501 | − | 5.95655i | −0.106443 | − | 0.208905i | ||||
\(814\) | 1.51752 | + | 1.36638i | 0.0531891 | + | 0.0478916i | ||||
\(815\) | −2.16063 | + | 1.98528i | −0.0756836 | + | 0.0695414i | ||||
\(816\) | 25.7682 | + | 28.6185i | 0.902068 | + | 1.00185i | ||||
\(817\) | 8.11295 | + | 10.0187i | 0.283836 | + | 0.350509i | ||||
\(818\) | −44.8721 | − | 44.8721i | −1.56892 | − | 1.56892i | ||||
\(819\) | 15.6715 | + | 6.30634i | 0.547607 | + | 0.220361i | ||||
\(820\) | 71.7208 | + | 35.6367i | 2.50460 | + | 1.24449i | ||||
\(821\) | 46.5893 | + | 20.7429i | 1.62598 | + | 0.723932i | 0.998503 | − | 0.0547050i | \(-0.0174218\pi\) |
0.627475 | + | 0.778637i | \(0.284089\pi\) | |||||||
\(822\) | −57.0747 | − | 46.2182i | −1.99071 | − | 1.61204i | ||||
\(823\) | −7.24578 | + | 4.70546i | −0.252572 | + | 0.164022i | −0.664715 | − | 0.747097i | \(-0.731447\pi\) |
0.412143 | + | 0.911119i | \(0.364780\pi\) | |||||||
\(824\) | −25.7009 | − | 44.5153i | −0.895335 | − | 1.55077i | ||||
\(825\) | 20.8107 | − | 3.72805i | 0.724537 | − | 0.129794i | ||||
\(826\) | 0.243515 | + | 0.0694600i | 0.00847297 | + | 0.00241682i | ||||
\(827\) | 24.4201 | − | 47.9272i | 0.849171 | − | 1.66659i | 0.109133 | − | 0.994027i | \(-0.465193\pi\) |
0.740038 | − | 0.672565i | \(-0.234807\pi\) | |||||||
\(828\) | −12.1000 | + | 4.64474i | −0.420503 | + | 0.161416i | ||||
\(829\) | −3.89407 | − | 37.0496i | −0.135247 | − | 1.28679i | −0.825990 | − | 0.563685i | \(-0.809383\pi\) |
0.690743 | − | 0.723100i | \(-0.257284\pi\) | |||||||
\(830\) | −2.12365 | + | 50.2107i | −0.0737130 | + | 1.74284i | ||||
\(831\) | −66.4966 | − | 6.98907i | −2.30674 | − | 0.242448i | ||||
\(832\) | −34.6235 | + | 34.6235i | −1.20035 | + | 1.20035i | ||||
\(833\) | −23.1453 | − | 30.5375i | −0.801936 | − | 1.05806i | ||||
\(834\) | −99.9830 | − | 32.4865i | −3.46213 | − | 1.12491i | ||||
\(835\) | −0.434924 | − | 0.0412799i | −0.0150512 | − | 0.00142855i | ||||
\(836\) | −3.89697 | + | 18.3338i | −0.134779 | + | 0.634087i | ||||
\(837\) | −1.37866 | + | 26.3065i | −0.0476536 | + | 0.909284i | ||||
\(838\) | 42.8415 | + | 27.8216i | 1.47993 | + | 0.961080i | ||||
\(839\) | 10.5872 | + | 32.5840i | 0.365510 | + | 1.12492i | 0.949661 | + | 0.313279i | \(0.101428\pi\) |
−0.584151 | + | 0.811645i | \(0.698572\pi\) | |||||||
\(840\) | 14.8201 | − | 54.0173i | 0.511343 | − | 1.86378i | ||||
\(841\) | −3.64001 | + | 11.2028i | −0.125518 | + | 0.386304i | ||||
\(842\) | −19.1965 | + | 15.5450i | −0.661553 | + | 0.535715i | ||||
\(843\) | 36.8399 | − | 9.87123i | 1.26883 | − | 0.339983i | ||||
\(844\) | −7.09970 | − | 15.9462i | −0.244382 | − | 0.548891i | ||||
\(845\) | −27.8602 | + | 23.0301i | −0.958420 | + | 0.792258i | ||||
\(846\) | −4.52442 | − | 6.22733i | −0.155553 | − | 0.214100i | ||||
\(847\) | 17.7227 | − | 1.57540i | 0.608959 | − | 0.0541314i | ||||
\(848\) | −12.4384 | − | 6.33767i | −0.427136 | − | 0.217636i | ||||
\(849\) | −40.7464 | + | 23.5249i | −1.39841 | + | 0.807374i | ||||
\(850\) | −48.5185 | + | 45.4923i | −1.66417 | + | 1.56037i | ||||
\(851\) | 0.570448 | − | 0.988045i | 0.0195547 | − | 0.0338697i | ||||
\(852\) | 5.13835 | + | 98.0456i | 0.176037 | + | 3.35899i | ||||
\(853\) | −32.0290 | − | 5.07290i | −1.09665 | − | 0.173693i | −0.418214 | − | 0.908349i | \(-0.637344\pi\) |
−0.678440 | + | 0.734656i | \(0.737344\pi\) | |||||||
\(854\) | −45.0971 | − | 7.88710i | −1.54319 | − | 0.269891i | ||||
\(855\) | 6.07062 | + | 0.898799i | 0.207611 | + | 0.0307383i | ||||
\(856\) | −2.65998 | + | 25.3080i | −0.0909163 | + | 0.865010i | ||||
\(857\) | 7.89972 | + | 29.4821i | 0.269849 | + | 1.00709i | 0.959215 | + | 0.282677i | \(0.0912226\pi\) |
−0.689366 | + | 0.724413i | \(0.742111\pi\) | |||||||
\(858\) | −19.8863 | + | 51.8057i | −0.678909 | + | 1.76862i | ||||
\(859\) | −21.6405 | + | 4.59984i | −0.738365 | + | 0.156944i | −0.561717 | − | 0.827330i | \(-0.689859\pi\) |
−0.176648 | + | 0.984274i | \(0.556526\pi\) | |||||||
\(860\) | 38.9436 | − | 28.8990i | 1.32797 | − | 0.985448i | ||||
\(861\) | −23.2359 | + | 43.8475i | −0.791877 | + | 1.49432i | ||||
\(862\) | 24.6420 | − | 12.5557i | 0.839311 | − | 0.427650i | ||||
\(863\) | 14.9088 | − | 22.9575i | 0.507500 | − | 0.781481i | −0.488335 | − | 0.872656i | \(-0.662396\pi\) |
0.995835 | + | 0.0911748i | \(0.0290622\pi\) | |||||||
\(864\) | −3.27193 | − | 0.695471i | −0.111313 | − | 0.0236604i | ||||
\(865\) | 10.0166 | + | 2.02367i | 0.340573 | + | 0.0688068i | ||||
\(866\) | 5.46645 | + | 25.7176i | 0.185757 | + | 0.873920i | ||||
\(867\) | 26.1861 | − | 4.14746i | 0.889325 | − | 0.140855i | ||||
\(868\) | 62.8120 | + | 37.6223i | 2.13198 | + | 1.27698i | ||||
\(869\) | −9.73153 | + | 13.3943i | −0.330120 | + | 0.454371i | ||||
\(870\) | −68.7262 | − | 17.6739i | −2.33004 | − | 0.599200i | ||||
\(871\) | −47.4163 | + | 4.98365i | −1.60664 | + | 0.168865i | ||||
\(872\) | 30.7390 | − | 37.9595i | 1.04095 | − | 1.28547i | ||||
\(873\) | −19.6818 | + | 1.03148i | −0.666127 | + | 0.0349102i | ||||
\(874\) | 15.8352 | 0.535635 | ||||||||
\(875\) | 28.6784 | + | 7.24920i | 0.969506 | + | 0.245068i | ||||
\(876\) | 22.4369 | 0.758074 | ||||||||
\(877\) | −12.9672 | + | 0.679582i | −0.437871 | + | 0.0229478i | −0.269998 | − | 0.962861i | \(-0.587023\pi\) |
−0.167873 | + | 0.985809i | \(0.553690\pi\) | |||||||
\(878\) | 8.79191 | − | 10.8571i | 0.296713 | − | 0.366410i | ||||
\(879\) | −18.2994 | + | 1.92335i | −0.617224 | + | 0.0648728i | ||||
\(880\) | 15.4034 | + | 3.96118i | 0.519247 | + | 0.133531i | ||||
\(881\) | −34.7097 | + | 47.7739i | −1.16940 | + | 1.60954i | −0.501923 | + | 0.864913i | \(0.667374\pi\) |
−0.667478 | + | 0.744629i | \(0.732626\pi\) | |||||||
\(882\) | 19.2486 | + | 5.82632i | 0.648133 | + | 0.196182i | ||||
\(883\) | 55.0566 | − | 8.72011i | 1.85280 | − | 0.293455i | 0.872155 | − | 0.489231i | \(-0.162722\pi\) |
0.980649 | + | 0.195775i | \(0.0627223\pi\) | |||||||
\(884\) | −24.0023 | − | 112.922i | −0.807286 | − | 3.79798i | ||||
\(885\) | 0.176543 | + | 0.0356674i | 0.00593442 | + | 0.00119895i | ||||
\(886\) | −63.4371 | − | 13.4840i | −2.13121 | − | 0.453003i | ||||
\(887\) | 5.23868 | − | 8.06687i | 0.175898 | − | 0.270859i | −0.739715 | − | 0.672921i | \(-0.765040\pi\) |
0.915613 | + | 0.402062i | \(0.131706\pi\) | |||||||
\(888\) | 3.42858 | − | 1.74695i | 0.115055 | − | 0.0586237i | ||||
\(889\) | 0.0110401 | + | 0.304012i | 0.000370275 | + | 0.0101962i | ||||
\(890\) | 10.4915 | − | 7.78546i | 0.351676 | − | 0.260969i | ||||
\(891\) | −22.5482 | + | 4.79278i | −0.755394 | + | 0.160564i | ||||
\(892\) | 25.4982 | − | 66.4252i | 0.853744 | − | 2.22408i | ||||
\(893\) | 1.60968 | + | 6.00743i | 0.0538660 | + | 0.201031i | ||||
\(894\) | −3.64975 | + | 34.7250i | −0.122066 | + | 1.16138i | ||||
\(895\) | 36.0620 | + | 5.33924i | 1.20542 | + | 0.178471i | ||||
\(896\) | −34.3525 | + | 41.0556i | −1.14764 | + | 1.37157i | ||||
\(897\) | 30.6218 | + | 4.85002i | 1.02243 | + | 0.161937i | ||||
\(898\) | −4.65168 | − | 88.7594i | −0.155229 | − | 2.96194i | ||||
\(899\) | 22.6263 | − | 39.1900i | 0.754630 | − | 1.30706i | ||||
\(900\) | 4.34301 | − | 22.6728i | 0.144767 | − | 0.755761i | ||||
\(901\) | −19.2375 | + | 11.1068i | −0.640894 | + | 0.370020i | ||||
\(902\) | −41.0583 | − | 20.9203i | −1.36709 | − | 0.696568i | ||||
\(903\) | 17.2695 | + | 24.5904i | 0.574693 | + | 0.818319i | ||||
\(904\) | −17.0716 | − | 23.4970i | −0.567791 | − | 0.781498i | ||||
\(905\) | 18.8353 | − | 15.5698i | 0.626107 | − | 0.517558i | ||||
\(906\) | 39.5996 | + | 88.9421i | 1.31561 | + | 2.95490i | ||||
\(907\) | 46.3456 | − | 12.4183i | 1.53888 | − | 0.412342i | 0.612977 | − | 0.790101i | \(-0.289972\pi\) |
0.925904 | + | 0.377759i | \(0.123305\pi\) | |||||||
\(908\) | −33.5013 | + | 27.1288i | −1.11178 | + | 0.900301i | ||||
\(909\) | 1.13956 | − | 3.50719i | 0.0377967 | − | 0.116326i | ||||
\(910\) | −55.2263 | + | 54.5707i | −1.83073 | + | 1.80900i | ||||
\(911\) | −2.60677 | − | 8.02281i | −0.0863661 | − | 0.265808i | 0.898541 | − | 0.438889i | \(-0.144628\pi\) |
−0.984908 | + | 0.173081i | \(0.944628\pi\) | |||||||
\(912\) | 13.6962 | + | 8.89443i | 0.453527 | + | 0.294524i | ||||
\(913\) | 1.00081 | − | 19.0967i | 0.0331221 | − | 0.632007i | ||||
\(914\) | −9.72982 | + | 45.7752i | −0.321834 | + | 1.51411i | ||||
\(915\) | −32.4167 | − | 3.07677i | −1.07166 | − | 0.101715i | ||||
\(916\) | 74.0389 | + | 24.0567i | 2.44631 | + | 0.794855i | ||||
\(917\) | −10.9717 | + | 4.67527i | −0.362319 | + | 0.154391i | ||||
\(918\) | 34.9652 | − | 34.9652i | 1.15402 | − | 1.15402i | ||||
\(919\) | −49.0517 | − | 5.15554i | −1.61807 | − | 0.170066i | −0.748241 | − | 0.663427i | \(-0.769101\pi\) |
−0.869824 | + | 0.493362i | \(0.835768\pi\) | |||||||
\(920\) | 1.22803 | − | 29.0349i | 0.0404868 | − | 0.957253i | ||||
\(921\) | −5.67671 | − | 54.0103i | −0.187054 | − | 1.77970i | ||||
\(922\) | 3.15495 | − | 1.21107i | 0.103903 | − | 0.0398845i | ||||
\(923\) | 30.1409 | − | 59.1548i | 0.992099 | − | 1.94710i | ||||
\(924\) | −11.9837 | + | 42.0127i | −0.394234 | + | 1.38212i | ||||
\(925\) | 0.958901 | + | 1.79163i | 0.0315285 | + | 0.0589083i | ||||
\(926\) | −2.40612 | − | 4.16751i | −0.0790699 | − | 0.136953i | ||||
\(927\) | 11.0088 | − | 7.14917i | 0.361575 | − | 0.234810i | ||||
\(928\) | 4.46569 | + | 3.61625i | 0.146594 | + | 0.118709i | ||||
\(929\) | 28.5524 | + | 12.7123i | 0.936774 | + | 0.417079i | 0.817595 | − | 0.575794i | \(-0.195307\pi\) |
0.119179 | + | 0.992873i | \(0.461974\pi\) | |||||||
\(930\) | 70.5209 | + | 35.0405i | 2.31247 | + | 1.14902i | ||||
\(931\) | −12.8324 | − | 9.96838i | −0.420566 | − | 0.326700i | ||||
\(932\) | 12.9472 | + | 12.9472i | 0.424099 | + | 0.424099i | ||||
\(933\) | 1.36199 | + | 1.68192i | 0.0445897 | + | 0.0550637i | ||||
\(934\) | 47.6906 | + | 52.9658i | 1.56048 | + | 1.73309i | ||||
\(935\) | 18.6356 | − | 17.1232i | 0.609450 | − | 0.559988i | ||||
\(936\) | 21.9674 | + | 19.7795i | 0.718026 | + | 0.646514i | ||||
\(937\) | −2.99169 | − | 5.87152i | −0.0977343 | − | 0.191814i | 0.836963 | − | 0.547260i | \(-0.184329\pi\) |
−0.934697 | + | 0.355446i | \(0.884329\pi\) | |||||||
\(938\) | −55.7025 | + | 10.9080i | −1.81875 | + | 0.356158i | ||||
\(939\) | 36.7405 | − | 11.9377i | 1.19898 | − | 0.389572i | ||||
\(940\) | 22.8341 | − | 5.09487i | 0.744766 | − | 0.166176i | ||||
\(941\) | 12.4785 | − | 11.2357i | 0.406788 | − | 0.366273i | −0.440187 | − | 0.897906i | \(-0.645088\pi\) |
0.846975 | + | 0.531633i | \(0.178421\pi\) | |||||||
\(942\) | −8.36394 | − | 3.21062i | −0.272512 | − | 0.104608i | ||||
\(943\) | −6.66348 | + | 24.8685i | −0.216993 | + | 0.809829i | ||||
\(944\) | 0.109615 | + | 0.0796398i | 0.00356766 | + | 0.00259206i | ||||
\(945\) | −21.4839 | − | 4.70078i | −0.698871 | − | 0.152916i | ||||
\(946\) | −22.5743 | + | 16.4012i | −0.733954 | + | 0.533249i | ||||
\(947\) | −14.9653 | − | 38.9858i | −0.486305 | − | 1.26687i | −0.928961 | − | 0.370177i | \(-0.879297\pi\) |
0.442656 | − | 0.896692i | \(-0.354036\pi\) | |||||||
\(948\) | 34.8296 | + | 53.6329i | 1.13121 | + | 1.74191i | ||||
\(949\) | −13.1395 | − | 7.58611i | −0.426527 | − | 0.246255i | ||||
\(950\) | −14.8810 | + | 23.9597i | −0.482803 | + | 0.777356i | ||||
\(951\) | − | 59.0773i | − | 1.91571i | ||||||
\(952\) | −19.6929 | − | 64.0934i | −0.638251 | − | 2.07728i | ||||
\(953\) | 8.84775 | − | 55.8625i | 0.286607 | − | 1.80956i | −0.252800 | − | 0.967519i | \(-0.581351\pi\) |
0.539406 | − | 0.842046i | \(-0.318649\pi\) | |||||||
\(954\) | 4.74205 | − | 10.6508i | 0.153530 | − | 0.344833i | ||||
\(955\) | −59.0763 | − | 2.49862i | −1.91167 | − | 0.0808535i | ||||
\(956\) | 57.4627 | − | 25.5841i | 1.85848 | − | 0.827448i | ||||
\(957\) | 26.0820 | + | 6.98864i | 0.843110 | + | 0.225911i | ||||
\(958\) | 1.51078 | + | 9.53866i | 0.0488110 | + | 0.308180i | ||||
\(959\) | 17.1888 | + | 35.1182i | 0.555057 | + | 1.13402i | ||||
\(960\) | −24.0308 | + | 33.7872i | −0.775589 | + | 1.09048i | ||||
\(961\) | −12.8585 | + | 14.2808i | −0.414790 | + | 0.460671i | ||||
\(962\) | −5.32633 | − | 0.279141i | −0.171728 | − | 0.00899987i | ||||
\(963\) | −6.48957 | − | 0.340104i | −0.209124 | − | 0.0109597i | ||||
\(964\) | −35.7477 | + | 39.7019i | −1.15136 | + | 1.27871i | ||||
\(965\) | 0.290105 | + | 28.7499i | 0.00933880 | + | 0.925492i | ||||
\(966\) | 36.8236 | + | 2.52344i | 1.18478 | + | 0.0811904i | ||||
\(967\) | −1.99758 | − | 12.6122i | −0.0642378 | − | 0.405582i | −0.998765 | − | 0.0496891i | \(-0.984177\pi\) |
0.934527 | − | 0.355892i | \(-0.115823\pi\) | |||||||
\(968\) | 30.0736 | + | 8.05820i | 0.966602 | + | 0.259000i | ||||
\(969\) | 23.7397 | − | 10.5696i | 0.762627 | − | 0.339544i | ||||
\(970\) | 31.6067 | − | 84.8887i | 1.01483 | − | 2.72561i | ||||
\(971\) | 15.2849 | − | 34.3305i | 0.490517 | − | 1.10172i | −0.483521 | − | 0.875333i | \(-0.660642\pi\) |
0.974038 | − | 0.226386i | \(-0.0726912\pi\) | |||||||
\(972\) | −7.11609 | + | 44.9292i | −0.228249 | + | 1.44110i | ||||
\(973\) | 40.9861 | + | 38.1136i | 1.31395 | + | 1.22187i | ||||
\(974\) | 14.3322i | 0.459235i | ||||||||
\(975\) | −36.1149 | + | 41.7749i | −1.15660 | + | 1.33787i | ||||
\(976\) | −21.2140 | − | 12.2479i | −0.679042 | − | 0.392045i | ||||
\(977\) | −15.7026 | − | 24.1799i | −0.502372 | − | 0.773584i | 0.492965 | − | 0.870049i | \(-0.335913\pi\) |
−0.995336 | + | 0.0964648i | \(0.969246\pi\) | |||||||
\(978\) | −2.33701 | − | 6.08812i | −0.0747293 | − | 0.194677i | ||||
\(979\) | −4.02183 | + | 2.92203i | −0.128538 | + | 0.0933885i | ||||
\(980\) | −39.5048 | + | 46.6446i | −1.26194 | + | 1.49001i | ||||
\(981\) | 10.0912 | + | 7.33170i | 0.322188 | + | 0.234083i | ||||
\(982\) | 0.755932 | − | 2.82118i | 0.0241228 | − | 0.0900274i | ||||
\(983\) | 26.1913 | + | 10.0539i | 0.835372 | + | 0.320669i | 0.738186 | − | 0.674597i | \(-0.235683\pi\) |
0.0971855 | + | 0.995266i | \(0.469016\pi\) | |||||||
\(984\) | −64.5306 | + | 58.1036i | −2.05716 | + | 1.85227i | ||||
\(985\) | 26.3057 | + | 11.3954i | 0.838171 | + | 0.363089i | ||||
\(986\) | −80.7874 | + | 26.2494i | −2.57280 | + | 0.835952i | ||||
\(987\) | 2.78587 | + | 14.2263i | 0.0886753 | + | 0.452828i | ||||
\(988\) | −22.2258 | − | 43.6206i | −0.707096 | − | 1.38775i | ||||
\(989\) | 11.5855 | + | 10.4316i | 0.368398 | + | 0.331707i | ||||
\(990\) | −2.63042 | + | 13.0198i | −0.0836004 | + | 0.413796i | ||||
\(991\) | 25.3112 | + | 28.1110i | 0.804038 | + | 0.892975i | 0.996084 | − | 0.0884113i | \(-0.0281790\pi\) |
−0.192046 | + | 0.981386i | \(0.561512\pi\) | |||||||
\(992\) | −4.01294 | − | 4.95556i | −0.127411 | − | 0.157339i | ||||
\(993\) | 2.58460 | + | 2.58460i | 0.0820198 | + | 0.0820198i | ||||
\(994\) | 29.5065 | − | 73.3249i | 0.935889 | − | 2.32572i | ||||
\(995\) | −2.55677 | + | 2.60890i | −0.0810551 | + | 0.0827076i | ||||
\(996\) | −67.4777 | − | 30.0430i | −2.13811 | − | 0.951949i | ||||
\(997\) | 41.9471 | + | 33.9681i | 1.32848 | + | 1.07578i | 0.990917 | + | 0.134475i | \(0.0429348\pi\) |
0.337560 | + | 0.941304i | \(0.390399\pi\) | |||||||
\(998\) | −32.0370 | + | 20.8050i | −1.01411 | + | 0.658572i | ||||
\(999\) | −0.755402 | − | 1.30839i | −0.0238999 | − | 0.0413958i |
(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 | 175.2.x.a.17.2 | yes | 288 | |
5.2 | odd | 4 | 875.2.bb.a.143.2 | 288 | |||
5.3 | odd | 4 | 875.2.bb.b.143.17 | 288 | |||
5.4 | even | 2 | 875.2.bb.c.857.17 | 288 | |||
7.5 | odd | 6 | inner | 175.2.x.a.117.17 | yes | 288 | |
25.3 | odd | 20 | inner | 175.2.x.a.3.17 | ✓ | 288 | |
25.4 | even | 10 | 875.2.bb.a.507.2 | 288 | |||
25.21 | even | 5 | 875.2.bb.b.507.17 | 288 | |||
25.22 | odd | 20 | 875.2.bb.c.493.2 | 288 | |||
35.12 | even | 12 | 875.2.bb.a.768.2 | 288 | |||
35.19 | odd | 6 | 875.2.bb.c.607.2 | 288 | |||
35.33 | even | 12 | 875.2.bb.b.768.17 | 288 | |||
175.47 | even | 60 | 875.2.bb.c.243.17 | 288 | |||
175.54 | odd | 30 | 875.2.bb.a.257.2 | 288 | |||
175.96 | odd | 30 | 875.2.bb.b.257.17 | 288 | |||
175.103 | even | 60 | inner | 175.2.x.a.103.2 | yes | 288 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
175.2.x.a.3.17 | ✓ | 288 | 25.3 | odd | 20 | inner | |
175.2.x.a.17.2 | yes | 288 | 1.1 | even | 1 | trivial | |
175.2.x.a.103.2 | yes | 288 | 175.103 | even | 60 | inner | |
175.2.x.a.117.17 | yes | 288 | 7.5 | odd | 6 | inner | |
875.2.bb.a.143.2 | 288 | 5.2 | odd | 4 | |||
875.2.bb.a.257.2 | 288 | 175.54 | odd | 30 | |||
875.2.bb.a.507.2 | 288 | 25.4 | even | 10 | |||
875.2.bb.a.768.2 | 288 | 35.12 | even | 12 | |||
875.2.bb.b.143.17 | 288 | 5.3 | odd | 4 | |||
875.2.bb.b.257.17 | 288 | 175.96 | odd | 30 | |||
875.2.bb.b.507.17 | 288 | 25.21 | even | 5 | |||
875.2.bb.b.768.17 | 288 | 35.33 | even | 12 | |||
875.2.bb.c.243.17 | 288 | 175.47 | even | 60 | |||
875.2.bb.c.493.2 | 288 | 25.22 | odd | 20 | |||
875.2.bb.c.607.2 | 288 | 35.19 | odd | 6 | |||
875.2.bb.c.857.17 | 288 | 5.4 | even | 2 |