Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [370,2,Mod(23,370)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(370, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([9, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("370.23");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 370 = 2 \cdot 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 370.r (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.95446487479\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 23.3 | ||
Character | \(\chi\) | \(=\) | 370.23 |
Dual form | 370.2.r.f.177.3 |
$q$-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 \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(297\) |
\(\chi(n)\) | \(e\left(\frac{5}{12}\right)\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.866025 | − | 0.500000i | −0.612372 | − | 0.353553i | ||||
\(3\) | −1.69391 | − | 0.453882i | −0.977981 | − | 0.262049i | −0.265787 | − | 0.964032i | \(-0.585632\pi\) |
−0.712194 | + | 0.701983i | \(0.752298\pi\) | |||||||
\(4\) | 0.500000 | + | 0.866025i | 0.250000 | + | 0.433013i | ||||
\(5\) | −1.12773 | − | 1.93086i | −0.504335 | − | 0.863508i | ||||
\(6\) | 1.24003 | + | 1.24003i | 0.506240 | + | 0.506240i | ||||
\(7\) | 4.67400 | + | 1.25240i | 1.76661 | + | 0.473361i | 0.988040 | − | 0.154199i | \(-0.0492798\pi\) |
0.778568 | + | 0.627561i | \(0.215946\pi\) | |||||||
\(8\) | − | 1.00000i | − | 0.353553i | ||||||
\(9\) | 0.0652541 | + | 0.0376745i | 0.0217514 | + | 0.0125582i | ||||
\(10\) | 0.0112097 | + | 2.23604i | 0.00354482 | + | 0.707098i | ||||
\(11\) | 1.80443i | 0.544056i | 0.962289 | + | 0.272028i | \(0.0876943\pi\) | ||||
−0.962289 | + | 0.272028i | \(0.912306\pi\) | |||||||
\(12\) | −0.453882 | − | 1.69391i | −0.131025 | − | 0.488990i | ||||
\(13\) | 2.26519 | − | 1.30781i | 0.628251 | − | 0.362721i | −0.151823 | − | 0.988408i | \(-0.548514\pi\) |
0.780074 | + | 0.625687i | \(0.215181\pi\) | |||||||
\(14\) | −3.42161 | − | 3.42161i | −0.914463 | − | 0.914463i | ||||
\(15\) | 1.03389 | + | 3.78257i | 0.266949 | + | 0.976655i | ||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | 1.73957 | − | 3.01303i | 0.421909 | − | 0.730767i | −0.574217 | − | 0.818703i | \(-0.694694\pi\) |
0.996126 | + | 0.0879355i | \(0.0280269\pi\) | |||||||
\(18\) | −0.0376745 | − | 0.0652541i | −0.00887996 | − | 0.0153805i | ||||
\(19\) | −6.17174 | − | 1.65371i | −1.41589 | − | 0.379388i | −0.531869 | − | 0.846827i | \(-0.678510\pi\) |
−0.884025 | + | 0.467439i | \(0.845177\pi\) | |||||||
\(20\) | 1.10831 | − | 1.94207i | 0.247826 | − | 0.434261i | ||||
\(21\) | −7.34891 | − | 4.24290i | −1.60366 | − | 0.925876i | ||||
\(22\) | 0.902215 | − | 1.56268i | 0.192353 | − | 0.333165i | ||||
\(23\) | − | 8.37956i | − | 1.74726i | −0.486592 | − | 0.873629i | \(-0.661760\pi\) | ||
0.486592 | − | 0.873629i | \(-0.338240\pi\) | |||||||
\(24\) | −0.453882 | + | 1.69391i | −0.0926484 | + | 0.345768i | ||||
\(25\) | −2.45646 | + | 4.35497i | −0.491292 | + | 0.870995i | ||||
\(26\) | −2.61562 | −0.512965 | ||||||||
\(27\) | 3.62666 | + | 3.62666i | 0.697950 | + | 0.697950i | ||||
\(28\) | 1.25240 | + | 4.67400i | 0.236681 | + | 0.883304i | ||||
\(29\) | −5.16438 | − | 5.16438i | −0.959001 | − | 0.959001i | 0.0401907 | − | 0.999192i | \(-0.487203\pi\) |
−0.999192 | + | 0.0401907i | \(0.987203\pi\) | |||||||
\(30\) | 0.995911 | − | 3.79274i | 0.181828 | − | 0.692457i | ||||
\(31\) | 6.16219 | − | 6.16219i | 1.10676 | − | 1.10676i | 0.113188 | − | 0.993574i | \(-0.463894\pi\) |
0.993574 | − | 0.113188i | \(-0.0361064\pi\) | |||||||
\(32\) | 0.866025 | − | 0.500000i | 0.153093 | − | 0.0883883i | ||||
\(33\) | 0.818999 | − | 3.05655i | 0.142569 | − | 0.532076i | ||||
\(34\) | −3.01303 | + | 1.73957i | −0.516731 | + | 0.298335i | ||||
\(35\) | −2.85280 | − | 10.4372i | −0.482211 | − | 1.76421i | ||||
\(36\) | 0.0753490i | 0.0125582i | ||||||||
\(37\) | −5.65776 | − | 2.23377i | −0.930130 | − | 0.367230i | ||||
\(38\) | 4.51803 | + | 4.51803i | 0.732921 | + | 0.732921i | ||||
\(39\) | −4.43063 | + | 1.18718i | −0.709468 | + | 0.190101i | ||||
\(40\) | −1.93086 | + | 1.12773i | −0.305296 | + | 0.178309i | ||||
\(41\) | −2.24339 | + | 1.29522i | −0.350359 | + | 0.202280i | −0.664844 | − | 0.746983i | \(-0.731502\pi\) |
0.314484 | + | 0.949263i | \(0.398168\pi\) | |||||||
\(42\) | 4.24290 | + | 7.34891i | 0.654693 | + | 1.13396i | ||||
\(43\) | − | 1.35953i | − | 0.207327i | −0.994612 | − | 0.103663i | \(-0.966944\pi\) | ||
0.994612 | − | 0.103663i | \(-0.0330565\pi\) | |||||||
\(44\) | −1.56268 | + | 0.902215i | −0.235583 | + | 0.136014i | ||||
\(45\) | −0.000844640 | − | 0.168483i | −0.000125911 | − | 0.0251160i | ||||
\(46\) | −4.18978 | + | 7.25691i | −0.617749 | + | 1.06997i | ||||
\(47\) | −0.101997 | + | 0.101997i | −0.0148779 | + | 0.0148779i | −0.714507 | − | 0.699629i | \(-0.753349\pi\) |
0.699629 | + | 0.714507i | \(0.253349\pi\) | |||||||
\(48\) | 1.24003 | − | 1.24003i | 0.178983 | − | 0.178983i | ||||
\(49\) | 14.2156 | + | 8.20741i | 2.03081 | + | 1.17249i | ||||
\(50\) | 4.30484 | − | 2.54329i | 0.608797 | − | 0.359675i | ||||
\(51\) | −4.31425 | + | 4.31425i | −0.604116 | + | 0.604116i | ||||
\(52\) | 2.26519 | + | 1.30781i | 0.314126 | + | 0.181360i | ||||
\(53\) | 2.60711 | − | 0.698572i | 0.358114 | − | 0.0959563i | −0.0752764 | − | 0.997163i | \(-0.523984\pi\) |
0.433390 | + | 0.901206i | \(0.357317\pi\) | |||||||
\(54\) | −1.32745 | − | 4.95410i | −0.180643 | − | 0.674168i | ||||
\(55\) | 3.48411 | − | 2.03491i | 0.469797 | − | 0.274387i | ||||
\(56\) | 1.25240 | − | 4.67400i | 0.167358 | − | 0.624590i | ||||
\(57\) | 9.70379 | + | 5.60249i | 1.28530 | + | 0.742068i | ||||
\(58\) | 1.89029 | + | 7.05467i | 0.248208 | + | 0.926324i | ||||
\(59\) | 2.77785 | + | 10.3671i | 0.361645 | + | 1.34968i | 0.871912 | + | 0.489663i | \(0.162880\pi\) |
−0.510267 | + | 0.860016i | \(0.670453\pi\) | |||||||
\(60\) | −2.75886 | + | 2.78666i | −0.356167 | + | 0.359756i | ||||
\(61\) | −5.11419 | − | 1.37034i | −0.654805 | − | 0.175454i | −0.0839046 | − | 0.996474i | \(-0.526739\pi\) |
−0.570900 | + | 0.821019i | \(0.693406\pi\) | |||||||
\(62\) | −8.41771 | + | 2.25552i | −1.06905 | + | 0.286451i | ||||
\(63\) | 0.257815 | + | 0.257815i | 0.0324816 | + | 0.0324816i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | −5.07972 | − | 2.89892i | −0.630062 | − | 0.359567i | ||||
\(66\) | −2.23755 | + | 2.23755i | −0.275423 | + | 0.275423i | ||||
\(67\) | 2.55168 | − | 9.52300i | 0.311737 | − | 1.16342i | −0.615252 | − | 0.788331i | \(-0.710946\pi\) |
0.926989 | − | 0.375088i | \(-0.122388\pi\) | |||||||
\(68\) | 3.47915 | 0.421909 | ||||||||
\(69\) | −3.80333 | + | 14.1942i | −0.457868 | + | 1.70879i | ||||
\(70\) | −2.74801 | + | 10.4653i | −0.328450 | + | 1.25084i | ||||
\(71\) | −5.81858 | − | 10.0781i | −0.690538 | − | 1.19605i | −0.971662 | − | 0.236375i | \(-0.924041\pi\) |
0.281124 | − | 0.959671i | \(-0.409293\pi\) | |||||||
\(72\) | 0.0376745 | − | 0.0652541i | 0.00443998 | − | 0.00769027i | ||||
\(73\) | −3.21316 | + | 3.21316i | −0.376072 | + | 0.376072i | −0.869683 | − | 0.493611i | \(-0.835677\pi\) |
0.493611 | + | 0.869683i | \(0.335677\pi\) | |||||||
\(74\) | 3.78288 | + | 4.76338i | 0.439751 | + | 0.553732i | ||||
\(75\) | 6.13767 | − | 6.26200i | 0.708718 | − | 0.723074i | ||||
\(76\) | −1.65371 | − | 6.17174i | −0.189694 | − | 0.707947i | ||||
\(77\) | −2.25986 | + | 8.43391i | −0.257535 | + | 0.961134i | ||||
\(78\) | 4.43063 | + | 1.18718i | 0.501670 | + | 0.134422i | ||||
\(79\) | 13.7202 | + | 3.67632i | 1.54364 | + | 0.413618i | 0.927441 | − | 0.373969i | \(-0.122003\pi\) |
0.616203 | + | 0.787587i | \(0.288670\pi\) | |||||||
\(80\) | 2.23604 | − | 0.0112097i | 0.249997 | − | 0.00125328i | ||||
\(81\) | −4.61018 | − | 7.98507i | −0.512243 | − | 0.887230i | ||||
\(82\) | 2.59045 | 0.286067 | ||||||||
\(83\) | 15.6267 | − | 4.18715i | 1.71525 | − | 0.459600i | 0.738547 | − | 0.674201i | \(-0.235512\pi\) |
0.976702 | + | 0.214602i | \(0.0688454\pi\) | |||||||
\(84\) | − | 8.48579i | − | 0.925876i | ||||||
\(85\) | −7.77951 | + | 0.0390002i | −0.843807 | + | 0.00423017i | ||||
\(86\) | −0.679767 | + | 1.17739i | −0.0733011 | + | 0.126961i | ||||
\(87\) | 6.40399 | + | 11.0920i | 0.686579 | + | 1.18919i | ||||
\(88\) | 1.80443 | 0.192353 | ||||||||
\(89\) | −3.75933 | + | 1.00731i | −0.398489 | + | 0.106775i | −0.452497 | − | 0.891766i | \(-0.649467\pi\) |
0.0540087 | + | 0.998540i | \(0.482800\pi\) | |||||||
\(90\) | −0.0835102 | + | 0.146333i | −0.00880274 | + | 0.0154249i | ||||
\(91\) | 12.2254 | − | 3.27579i | 1.28157 | − | 0.343396i | ||||
\(92\) | 7.25691 | − | 4.18978i | 0.756585 | − | 0.436815i | ||||
\(93\) | −13.2351 | + | 7.64130i | −1.37242 | + | 0.792366i | ||||
\(94\) | 0.139331 | − | 0.0373337i | 0.0143709 | − | 0.00385067i | ||||
\(95\) | 3.76695 | + | 13.7817i | 0.386481 | + | 1.41397i | ||||
\(96\) | −1.69391 | + | 0.453882i | −0.172884 | + | 0.0463242i | ||||
\(97\) | 4.12874 | 0.419210 | 0.209605 | − | 0.977786i | \(-0.432782\pi\) | ||||
0.209605 | + | 0.977786i | \(0.432782\pi\) | |||||||
\(98\) | −8.20741 | − | 14.2156i | −0.829073 | − | 1.43600i | ||||
\(99\) | −0.0679810 | + | 0.117746i | −0.00683234 | + | 0.0118340i | ||||
\(100\) | −4.99975 | + | 0.0501307i | −0.499975 | + | 0.00501307i | ||||
\(101\) | 8.73904i | 0.869567i | 0.900535 | + | 0.434783i | \(0.143175\pi\) | ||||
−0.900535 | + | 0.434783i | \(0.856825\pi\) | |||||||
\(102\) | 5.89337 | − | 1.57912i | 0.583531 | − | 0.156357i | ||||
\(103\) | −1.19613 | −0.117858 | −0.0589289 | − | 0.998262i | \(-0.518769\pi\) | ||||
−0.0589289 | + | 0.998262i | \(0.518769\pi\) | |||||||
\(104\) | −1.30781 | − | 2.26519i | −0.128241 | − | 0.222120i | ||||
\(105\) | 0.0951233 | + | 18.9746i | 0.00928308 | + | 1.85173i | ||||
\(106\) | −2.60711 | − | 0.698572i | −0.253225 | − | 0.0678513i | ||||
\(107\) | 1.33196 | + | 0.356896i | 0.128765 | + | 0.0345025i | 0.322626 | − | 0.946527i | \(-0.395434\pi\) |
−0.193861 | + | 0.981029i | \(0.562101\pi\) | |||||||
\(108\) | −1.32745 | + | 4.95410i | −0.127734 | + | 0.476709i | ||||
\(109\) | −0.635304 | − | 2.37099i | −0.0608511 | − | 0.227099i | 0.928803 | − | 0.370574i | \(-0.120839\pi\) |
−0.989654 | + | 0.143475i | \(0.954172\pi\) | |||||||
\(110\) | −4.03478 | + | 0.0202271i | −0.384701 | + | 0.00192858i | ||||
\(111\) | 8.56988 | + | 6.35177i | 0.813417 | + | 0.602883i | ||||
\(112\) | −3.42161 | + | 3.42161i | −0.323312 | + | 0.323312i | ||||
\(113\) | −4.20588 | + | 7.28479i | −0.395656 | + | 0.685296i | −0.993185 | − | 0.116552i | \(-0.962816\pi\) |
0.597529 | + | 0.801847i | \(0.296149\pi\) | |||||||
\(114\) | −5.60249 | − | 9.70379i | −0.524721 | − | 0.908844i | ||||
\(115\) | −16.1798 | + | 9.44986i | −1.50877 | + | 0.881204i | ||||
\(116\) | 1.89029 | − | 7.05467i | 0.175509 | − | 0.655010i | ||||
\(117\) | 0.197084 | 0.0182204 | ||||||||
\(118\) | 2.77785 | − | 10.3671i | 0.255722 | − | 0.954367i | ||||
\(119\) | 11.9043 | − | 11.9043i | 1.09126 | − | 1.09126i | ||||
\(120\) | 3.78257 | − | 1.03389i | 0.345300 | − | 0.0943806i | ||||
\(121\) | 7.74403 | 0.704003 | ||||||||
\(122\) | 3.74385 | + | 3.74385i | 0.338952 | + | 0.338952i | ||||
\(123\) | 4.38799 | − | 1.17576i | 0.395652 | − | 0.106015i | ||||
\(124\) | 8.41771 | + | 2.25552i | 0.755932 | + | 0.202551i | ||||
\(125\) | 11.1791 | − | 0.168140i | 0.999887 | − | 0.0150389i | ||||
\(126\) | −0.0943667 | − | 0.352181i | −0.00840685 | − | 0.0313748i | ||||
\(127\) | −2.71856 | − | 10.1458i | −0.241233 | − | 0.900294i | −0.975239 | − | 0.221151i | \(-0.929018\pi\) |
0.734006 | − | 0.679142i | \(-0.237648\pi\) | |||||||
\(128\) | 0.866025 | + | 0.500000i | 0.0765466 | + | 0.0441942i | ||||
\(129\) | −0.617069 | + | 2.30293i | −0.0543299 | + | 0.202762i | ||||
\(130\) | 2.94971 | + | 5.05040i | 0.258706 | + | 0.442949i | ||||
\(131\) | 3.08960 | + | 11.5306i | 0.269940 | + | 1.00743i | 0.959157 | + | 0.282875i | \(0.0912880\pi\) |
−0.689217 | + | 0.724555i | \(0.742045\pi\) | |||||||
\(132\) | 3.05655 | − | 0.818999i | 0.266038 | − | 0.0712847i | ||||
\(133\) | −26.7756 | − | 15.4589i | −2.32174 | − | 1.34046i | ||||
\(134\) | −6.97132 | + | 6.97132i | −0.602230 | + | 0.602230i | ||||
\(135\) | 2.91269 | − | 11.0925i | 0.250685 | − | 0.954686i | ||||
\(136\) | −3.01303 | − | 1.73957i | −0.258365 | − | 0.149167i | ||||
\(137\) | −3.06772 | + | 3.06772i | −0.262093 | + | 0.262093i | −0.825904 | − | 0.563811i | \(-0.809335\pi\) |
0.563811 | + | 0.825904i | \(0.309335\pi\) | |||||||
\(138\) | 10.3909 | − | 10.3909i | 0.884532 | − | 0.884532i | ||||
\(139\) | −4.71138 | + | 8.16035i | −0.399614 | + | 0.692152i | −0.993678 | − | 0.112266i | \(-0.964189\pi\) |
0.594064 | + | 0.804418i | \(0.297523\pi\) | |||||||
\(140\) | 7.61250 | − | 7.68921i | 0.643374 | − | 0.649857i | ||||
\(141\) | 0.219070 | − | 0.126480i | 0.0184490 | − | 0.0106515i | ||||
\(142\) | 11.6372i | 0.976568i | ||||||||
\(143\) | 2.35985 | + | 4.08738i | 0.197341 | + | 0.341804i | ||||
\(144\) | −0.0652541 | + | 0.0376745i | −0.00543784 | + | 0.00313954i | ||||
\(145\) | −4.14769 | + | 15.7957i | −0.344447 | + | 1.31176i | ||||
\(146\) | 4.38926 | − | 1.17610i | 0.363258 | − | 0.0973346i | ||||
\(147\) | −20.3549 | − | 20.3549i | −1.67884 | − | 1.67884i | ||||
\(148\) | −0.894379 | − | 6.01665i | −0.0735175 | − | 0.494566i | ||||
\(149\) | − | 13.1713i | − | 1.07904i | −0.841974 | − | 0.539518i | \(-0.818606\pi\) | ||
0.841974 | − | 0.539518i | \(-0.181394\pi\) | |||||||
\(150\) | −8.44638 | + | 2.35422i | −0.689644 | + | 0.192221i | ||||
\(151\) | 9.11356 | − | 5.26172i | 0.741651 | − | 0.428192i | −0.0810182 | − | 0.996713i | \(-0.525817\pi\) |
0.822669 | + | 0.568520i | \(0.192484\pi\) | |||||||
\(152\) | −1.65371 | + | 6.17174i | −0.134134 | + | 0.500594i | ||||
\(153\) | 0.227029 | − | 0.131075i | 0.0183542 | − | 0.0105968i | ||||
\(154\) | 6.17405 | − | 6.17405i | 0.497519 | − | 0.497519i | ||||
\(155\) | −18.8476 | − | 4.94907i | −1.51388 | − | 0.397519i | ||||
\(156\) | −3.24344 | − | 3.24344i | −0.259683 | − | 0.259683i | ||||
\(157\) | 0.798519 | + | 2.98011i | 0.0637287 | + | 0.237839i | 0.990442 | − | 0.137931i | \(-0.0440451\pi\) |
−0.926713 | + | 0.375770i | \(0.877378\pi\) | |||||||
\(158\) | −10.0439 | − | 10.0439i | −0.799049 | − | 0.799049i | ||||
\(159\) | −4.73328 | −0.375374 | ||||||||
\(160\) | −1.94207 | − | 1.10831i | −0.153534 | − | 0.0876198i | ||||
\(161\) | 10.4945 | − | 39.1661i | 0.827084 | − | 3.08672i | ||||
\(162\) | 9.22037i | 0.724421i | ||||||||
\(163\) | −4.61624 | + | 7.99556i | −0.361572 | + | 0.626260i | −0.988220 | − | 0.153042i | \(-0.951093\pi\) |
0.626648 | + | 0.779302i | \(0.284426\pi\) | |||||||
\(164\) | −2.24339 | − | 1.29522i | −0.175180 | − | 0.101140i | ||||
\(165\) | −6.82538 | + | 1.86558i | −0.531355 | + | 0.145235i | ||||
\(166\) | −15.6267 | − | 4.18715i | −1.21286 | − | 0.324986i | ||||
\(167\) | −3.00485 | − | 5.20455i | −0.232522 | − | 0.402740i | 0.726028 | − | 0.687666i | \(-0.241364\pi\) |
−0.958550 | + | 0.284926i | \(0.908031\pi\) | |||||||
\(168\) | −4.24290 | + | 7.34891i | −0.327347 | + | 0.566981i | ||||
\(169\) | −3.07927 | + | 5.33346i | −0.236867 | + | 0.410266i | ||||
\(170\) | 6.75676 | + | 3.85598i | 0.518220 | + | 0.295740i | ||||
\(171\) | −0.340429 | − | 0.340429i | −0.0260332 | − | 0.0260332i | ||||
\(172\) | 1.17739 | − | 0.679767i | 0.0897752 | − | 0.0518317i | ||||
\(173\) | −0.101856 | − | 0.380133i | −0.00774399 | − | 0.0289010i | 0.961946 | − | 0.273241i | \(-0.0880955\pi\) |
−0.969690 | + | 0.244340i | \(0.921429\pi\) | |||||||
\(174\) | − | 12.8080i | − | 0.970970i | ||||||
\(175\) | −16.9357 | + | 17.2787i | −1.28022 | + | 1.30615i | ||||
\(176\) | −1.56268 | − | 0.902215i | −0.117792 | − | 0.0680070i | ||||
\(177\) | − | 18.8217i | − | 1.41473i | ||||||
\(178\) | 3.75933 | + | 1.00731i | 0.281774 | + | 0.0755011i | ||||
\(179\) | −6.13609 | − | 6.13609i | −0.458633 | − | 0.458633i | 0.439573 | − | 0.898207i | \(-0.355130\pi\) |
−0.898207 | + | 0.439573i | \(0.855130\pi\) | |||||||
\(180\) | 0.145488 | − | 0.0849731i | 0.0108441 | − | 0.00633352i | ||||
\(181\) | −3.50429 | − | 6.06961i | −0.260472 | − | 0.451151i | 0.705896 | − | 0.708316i | \(-0.250545\pi\) |
−0.966367 | + | 0.257165i | \(0.917211\pi\) | |||||||
\(182\) | −12.2254 | − | 3.27579i | −0.906208 | − | 0.242818i | ||||
\(183\) | 8.04102 | + | 4.64248i | 0.594409 | + | 0.343182i | ||||
\(184\) | −8.37956 | −0.617749 | ||||||||
\(185\) | 2.06731 | + | 13.4434i | 0.151992 | + | 0.988382i | ||||
\(186\) | 15.2826 | 1.12057 | ||||||||
\(187\) | 5.43680 | + | 3.13894i | 0.397578 | + | 0.229542i | ||||
\(188\) | −0.139331 | − | 0.0373337i | −0.0101618 | − | 0.00272284i | ||||
\(189\) | 12.4090 | + | 21.4930i | 0.902622 | + | 1.56339i | ||||
\(190\) | 3.62858 | − | 13.8188i | 0.263245 | − | 1.00252i | ||||
\(191\) | 5.41763 | + | 5.41763i | 0.392006 | + | 0.392006i | 0.875402 | − | 0.483396i | \(-0.160597\pi\) |
−0.483396 | + | 0.875402i | \(0.660597\pi\) | |||||||
\(192\) | 1.69391 | + | 0.453882i | 0.122248 | + | 0.0327561i | ||||
\(193\) | 9.91460i | 0.713668i | 0.934168 | + | 0.356834i | \(0.116144\pi\) | ||||
−0.934168 | + | 0.356834i | \(0.883856\pi\) | |||||||
\(194\) | −3.57559 | − | 2.06437i | −0.256713 | − | 0.148213i | ||||
\(195\) | 7.28883 | + | 7.21611i | 0.521964 | + | 0.516757i | ||||
\(196\) | 16.4148i | 1.17249i | ||||||||
\(197\) | 1.93074 | + | 7.20563i | 0.137560 | + | 0.513380i | 0.999974 | + | 0.00717713i | \(0.00228457\pi\) |
−0.862415 | + | 0.506203i | \(0.831049\pi\) | |||||||
\(198\) | 0.117746 | − | 0.0679810i | 0.00836788 | − | 0.00483120i | ||||
\(199\) | −6.16248 | − | 6.16248i | −0.436847 | − | 0.436847i | 0.454103 | − | 0.890949i | \(-0.349960\pi\) |
−0.890949 | + | 0.454103i | \(0.849960\pi\) | |||||||
\(200\) | 4.35497 | + | 2.45646i | 0.307943 | + | 0.173698i | ||||
\(201\) | −8.64464 | + | 14.9730i | −0.609746 | + | 1.05611i | ||||
\(202\) | 4.36952 | − | 7.56823i | 0.307438 | − | 0.532499i | ||||
\(203\) | −17.6705 | − | 30.6062i | −1.24023 | − | 2.14813i | ||||
\(204\) | −5.89337 | − | 1.57912i | −0.412619 | − | 0.110561i | ||||
\(205\) | 5.03084 | + | 2.87103i | 0.351369 | + | 0.200521i | ||||
\(206\) | 1.03587 | + | 0.598063i | 0.0721728 | + | 0.0416690i | ||||
\(207\) | 0.315695 | − | 0.546801i | 0.0219424 | − | 0.0380053i | ||||
\(208\) | 2.61562i | 0.181360i | ||||||||
\(209\) | 2.98401 | − | 11.1365i | 0.206408 | − | 0.770326i | ||||
\(210\) | 9.40491 | − | 16.4800i | 0.649000 | − | 1.13723i | ||||
\(211\) | 3.61934 | 0.249166 | 0.124583 | − | 0.992209i | \(-0.460241\pi\) | ||||
0.124583 | + | 0.992209i | \(0.460241\pi\) | |||||||
\(212\) | 1.90853 | + | 1.90853i | 0.131079 | + | 0.131079i | ||||
\(213\) | 5.28190 | + | 19.7123i | 0.361910 | + | 1.35067i | ||||
\(214\) | −0.975059 | − | 0.975059i | −0.0666537 | − | 0.0666537i | ||||
\(215\) | −2.62507 | + | 1.53318i | −0.179028 | + | 0.104562i | ||||
\(216\) | 3.62666 | − | 3.62666i | 0.246763 | − | 0.246763i | ||||
\(217\) | 36.5196 | − | 21.0846i | 2.47911 | − | 1.43132i | ||||
\(218\) | −0.635304 | + | 2.37099i | −0.0430282 | + | 0.160583i | ||||
\(219\) | 6.90121 | − | 3.98442i | 0.466341 | − | 0.269242i | ||||
\(220\) | 3.50433 | + | 1.99987i | 0.236262 | + | 0.134831i | ||||
\(221\) | − | 9.10012i | − | 0.612140i | ||||||
\(222\) | −4.24585 | − | 9.78574i | −0.284963 | − | 0.656776i | ||||
\(223\) | 2.55180 | + | 2.55180i | 0.170881 | + | 0.170881i | 0.787366 | − | 0.616485i | \(-0.211444\pi\) |
−0.616485 | + | 0.787366i | \(0.711444\pi\) | |||||||
\(224\) | 4.67400 | − | 1.25240i | 0.312295 | − | 0.0836792i | ||||
\(225\) | −0.324366 | + | 0.191634i | −0.0216244 | + | 0.0127756i | ||||
\(226\) | 7.28479 | − | 4.20588i | 0.484577 | − | 0.279771i | ||||
\(227\) | 6.22565 | + | 10.7831i | 0.413211 | + | 0.715703i | 0.995239 | − | 0.0974662i | \(-0.0310738\pi\) |
−0.582028 | + | 0.813169i | \(0.697740\pi\) | |||||||
\(228\) | 11.2050i | 0.742068i | ||||||||
\(229\) | 15.5682 | − | 8.98833i | 1.02878 | − | 0.593965i | 0.112144 | − | 0.993692i | \(-0.464228\pi\) |
0.916634 | + | 0.399727i | \(0.130895\pi\) | |||||||
\(230\) | 18.7370 | − | 0.0939324i | 1.23548 | − | 0.00619372i | ||||
\(231\) | 7.65601 | − | 13.2606i | 0.503729 | − | 0.872483i | ||||
\(232\) | −5.16438 | + | 5.16438i | −0.339058 | + | 0.339058i | ||||
\(233\) | 9.77692 | − | 9.77692i | 0.640507 | − | 0.640507i | −0.310173 | − | 0.950680i | \(-0.600387\pi\) |
0.950680 | + | 0.310173i | \(0.100387\pi\) | |||||||
\(234\) | −0.170680 | − | 0.0985420i | −0.0111577 | − | 0.00644189i | ||||
\(235\) | 0.311968 | + | 0.0819177i | 0.0203506 | + | 0.00534372i | ||||
\(236\) | −7.58923 | + | 7.58923i | −0.494017 | + | 0.494017i | ||||
\(237\) | −21.5722 | − | 12.4547i | −1.40127 | − | 0.809021i | ||||
\(238\) | −16.2616 | + | 4.35727i | −1.05408 | + | 0.282440i | ||||
\(239\) | 7.64800 | + | 28.5427i | 0.494708 | + | 1.84627i | 0.531661 | + | 0.846957i | \(0.321568\pi\) |
−0.0369533 | + | 0.999317i | \(0.511765\pi\) | |||||||
\(240\) | −3.79274 | − | 0.995911i | −0.244821 | − | 0.0642858i | ||||
\(241\) | −2.75650 | + | 10.2874i | −0.177562 | + | 0.662669i | 0.818539 | + | 0.574450i | \(0.194784\pi\) |
−0.996101 | + | 0.0882189i | \(0.971883\pi\) | |||||||
\(242\) | −6.70653 | − | 3.87202i | −0.431112 | − | 0.248903i | ||||
\(243\) | 0.202621 | + | 0.756190i | 0.0129981 | + | 0.0485096i | ||||
\(244\) | −1.37034 | − | 5.11419i | −0.0877272 | − | 0.327403i | ||||
\(245\) | −0.184005 | − | 36.7042i | −0.0117557 | − | 2.34494i | ||||
\(246\) | −4.38799 | − | 1.17576i | −0.279768 | − | 0.0749637i | ||||
\(247\) | −16.1429 | + | 4.32548i | −1.02715 | + | 0.275224i | ||||
\(248\) | −6.16219 | − | 6.16219i | −0.391299 | − | 0.391299i | ||||
\(249\) | −28.3707 | −1.79792 | ||||||||
\(250\) | −9.76543 | − | 5.44392i | −0.617620 | − | 0.344304i | ||||
\(251\) | −18.6677 | + | 18.6677i | −1.17829 | + | 1.17829i | −0.198116 | + | 0.980179i | \(0.563482\pi\) |
−0.980179 | + | 0.198116i | \(0.936518\pi\) | |||||||
\(252\) | −0.0943667 | + | 0.352181i | −0.00594454 | + | 0.0221853i | ||||
\(253\) | 15.1203 | 0.950607 | ||||||||
\(254\) | −2.71856 | + | 10.1458i | −0.170578 | + | 0.636604i | ||||
\(255\) | 13.1955 | + | 3.46492i | 0.826335 | + | 0.216982i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −7.11154 | + | 12.3176i | −0.443606 | + | 0.768348i | −0.997954 | − | 0.0639371i | \(-0.979634\pi\) |
0.554348 | + | 0.832285i | \(0.312968\pi\) | |||||||
\(258\) | 1.68586 | − | 1.68586i | 0.104957 | − | 0.104957i | ||||
\(259\) | −23.6468 | − | 17.5264i | −1.46934 | − | 1.08904i | ||||
\(260\) | −0.0293203 | − | 5.84863i | −0.00181837 | − | 0.362716i | ||||
\(261\) | −0.142432 | − | 0.531562i | −0.00881630 | − | 0.0329029i | ||||
\(262\) | 3.08960 | − | 11.5306i | 0.190876 | − | 0.712360i | ||||
\(263\) | 19.1098 | + | 5.12046i | 1.17836 | + | 0.315741i | 0.794276 | − | 0.607557i | \(-0.207850\pi\) |
0.384085 | + | 0.923298i | \(0.374517\pi\) | |||||||
\(264\) | −3.05655 | − | 0.818999i | −0.188117 | − | 0.0504059i | ||||
\(265\) | −4.28895 | − | 4.24617i | −0.263468 | − | 0.260840i | ||||
\(266\) | 15.4589 | + | 26.7756i | 0.947847 | + | 1.64172i | ||||
\(267\) | 6.82518 | 0.417694 | ||||||||
\(268\) | 9.52300 | − | 2.55168i | 0.581710 | − | 0.155869i | ||||
\(269\) | 3.15145i | 0.192147i | 0.995374 | + | 0.0960736i | \(0.0306284\pi\) | ||||
−0.995374 | + | 0.0960736i | \(0.969372\pi\) | |||||||
\(270\) | −8.06869 | + | 8.15000i | −0.491045 | + | 0.495993i | ||||
\(271\) | −6.30478 | + | 10.9202i | −0.382988 | + | 0.663355i | −0.991488 | − | 0.130199i | \(-0.958438\pi\) |
0.608500 | + | 0.793554i | \(0.291772\pi\) | |||||||
\(272\) | 1.73957 | + | 3.01303i | 0.105477 | + | 0.182692i | ||||
\(273\) | −22.1956 | −1.34334 | ||||||||
\(274\) | 4.19059 | − | 1.12287i | 0.253163 | − | 0.0678348i | ||||
\(275\) | −7.85825 | − | 4.43251i | −0.473870 | − | 0.267290i | ||||
\(276\) | −14.1942 | + | 3.80333i | −0.854393 | + | 0.228934i | ||||
\(277\) | 2.84940 | − | 1.64510i | 0.171204 | − | 0.0988448i | −0.411949 | − | 0.911207i | \(-0.635152\pi\) |
0.583154 | + | 0.812362i | \(0.301819\pi\) | |||||||
\(278\) | 8.16035 | − | 4.71138i | 0.489425 | − | 0.282570i | ||||
\(279\) | 0.634265 | − | 0.169951i | 0.0379725 | − | 0.0101747i | ||||
\(280\) | −10.4372 | + | 2.85280i | −0.623743 | + | 0.170487i | ||||
\(281\) | 0.778302 | − | 0.208545i | 0.0464296 | − | 0.0124408i | −0.235529 | − | 0.971867i | \(-0.575682\pi\) |
0.281959 | + | 0.959426i | \(0.409016\pi\) | |||||||
\(282\) | −0.252960 | −0.0150635 | ||||||||
\(283\) | 6.15205 | + | 10.6557i | 0.365701 | + | 0.633413i | 0.988888 | − | 0.148660i | \(-0.0474959\pi\) |
−0.623187 | + | 0.782073i | \(0.714163\pi\) | |||||||
\(284\) | 5.81858 | − | 10.0781i | 0.345269 | − | 0.598023i | ||||
\(285\) | −0.125604 | − | 25.0548i | −0.00744017 | − | 1.48412i | ||||
\(286\) | − | 4.71970i | − | 0.279082i | ||||||
\(287\) | −12.1078 | + | 3.24427i | −0.714699 | + | 0.191503i | ||||
\(288\) | 0.0753490 | 0.00443998 | ||||||||
\(289\) | 2.44776 | + | 4.23965i | 0.143986 | + | 0.249391i | ||||
\(290\) | 11.4899 | − | 11.6057i | 0.674708 | − | 0.681507i | ||||
\(291\) | −6.99372 | − | 1.87396i | −0.409979 | − | 0.109854i | ||||
\(292\) | −4.38926 | − | 1.17610i | −0.256862 | − | 0.0688260i | ||||
\(293\) | 3.10467 | − | 11.5868i | 0.181377 | − | 0.676907i | −0.814000 | − | 0.580864i | \(-0.802715\pi\) |
0.995377 | − | 0.0960429i | \(-0.0306186\pi\) | |||||||
\(294\) | 7.45039 | + | 27.8053i | 0.434516 | + | 1.62164i | ||||
\(295\) | 16.8847 | − | 17.0549i | 0.983068 | − | 0.992974i | ||||
\(296\) | −2.23377 | + | 5.65776i | −0.129835 | + | 0.328851i | ||||
\(297\) | −6.54404 | + | 6.54404i | −0.379724 | + | 0.379724i | ||||
\(298\) | −6.58566 | + | 11.4067i | −0.381497 | + | 0.660772i | ||||
\(299\) | −10.9589 | − | 18.9813i | −0.633767 | − | 1.09772i | ||||
\(300\) | 8.49189 | + | 2.18438i | 0.490280 | + | 0.126115i | ||||
\(301\) | 1.70267 | − | 6.35447i | 0.0981405 | − | 0.366265i | ||||
\(302\) | −10.5234 | −0.605556 | ||||||||
\(303\) | 3.96650 | − | 14.8032i | 0.227869 | − | 0.850420i | ||||
\(304\) | 4.51803 | − | 4.51803i | 0.259127 | − | 0.259127i | ||||
\(305\) | 3.12147 | + | 11.4202i | 0.178735 | + | 0.653917i | ||||
\(306\) | −0.262150 | −0.0149861 | ||||||||
\(307\) | 19.1278 | + | 19.1278i | 1.09168 | + | 1.09168i | 0.995349 | + | 0.0963307i | \(0.0307106\pi\) |
0.0963307 | + | 0.995349i | \(0.469289\pi\) | |||||||
\(308\) | −8.43391 | + | 2.25986i | −0.480567 | + | 0.128767i | ||||
\(309\) | 2.02613 | + | 0.542900i | 0.115263 | + | 0.0308845i | ||||
\(310\) | 13.8480 | + | 13.7098i | 0.786512 | + | 0.778666i | ||||
\(311\) | 3.57605 | + | 13.3460i | 0.202779 | + | 0.756782i | 0.990115 | + | 0.140258i | \(0.0447931\pi\) |
−0.787336 | + | 0.616524i | \(0.788540\pi\) | |||||||
\(312\) | 1.18718 | + | 4.43063i | 0.0672110 | + | 0.250835i | ||||
\(313\) | −3.31696 | − | 1.91505i | −0.187486 | − | 0.108245i | 0.403319 | − | 0.915059i | \(-0.367856\pi\) |
−0.590805 | + | 0.806814i | \(0.701190\pi\) | |||||||
\(314\) | 0.798519 | − | 2.98011i | 0.0450630 | − | 0.168178i | ||||
\(315\) | 0.207060 | − | 0.788549i | 0.0116665 | − | 0.0444297i | ||||
\(316\) | 3.67632 | + | 13.7202i | 0.206809 | + | 0.771822i | ||||
\(317\) | 7.49692 | − | 2.00879i | 0.421069 | − | 0.112825i | −0.0420620 | − | 0.999115i | \(-0.513393\pi\) |
0.463131 | + | 0.886290i | \(0.346726\pi\) | |||||||
\(318\) | 4.09914 | + | 2.36664i | 0.229868 | + | 0.132715i | ||||
\(319\) | 9.31876 | − | 9.31876i | 0.521750 | − | 0.521750i | ||||
\(320\) | 1.12773 | + | 1.93086i | 0.0630419 | + | 0.107938i | ||||
\(321\) | −2.09423 | − | 1.20910i | −0.116888 | − | 0.0674855i | ||||
\(322\) | −28.6716 | + | 28.6716i | −1.59780 | + | 1.59780i | ||||
\(323\) | −15.7189 | + | 15.7189i | −0.874622 | + | 0.874622i | ||||
\(324\) | 4.61018 | − | 7.98507i | 0.256121 | − | 0.443615i | ||||
\(325\) | 0.131123 | + | 13.0774i | 0.00727338 | + | 0.725405i | ||||
\(326\) | 7.99556 | − | 4.61624i | 0.442833 | − | 0.255670i | ||||
\(327\) | 4.30460i | 0.238045i | ||||||||
\(328\) | 1.29522 | + | 2.24339i | 0.0715168 | + | 0.123871i | ||||
\(329\) | −0.604478 | + | 0.348995i | −0.0333259 | + | 0.0192407i | ||||
\(330\) | 6.84374 | + | 1.79705i | 0.376735 | + | 0.0989244i | ||||
\(331\) | 3.24978 | − | 0.870777i | 0.178624 | − | 0.0478622i | −0.168398 | − | 0.985719i | \(-0.553859\pi\) |
0.347022 | + | 0.937857i | \(0.387193\pi\) | |||||||
\(332\) | 11.4395 | + | 11.4395i | 0.627825 | + | 0.627825i | ||||
\(333\) | −0.285036 | − | 0.358916i | −0.0156199 | − | 0.0196685i | ||||
\(334\) | 6.00969i | 0.328836i | ||||||||
\(335\) | −21.2652 | + | 5.81241i | −1.16184 | + | 0.317566i | ||||
\(336\) | 7.34891 | − | 4.24290i | 0.400916 | − | 0.231469i | ||||
\(337\) | 0.742087 | − | 2.76951i | 0.0404240 | − | 0.150865i | −0.942764 | − | 0.333461i | \(-0.891783\pi\) |
0.983188 | + | 0.182596i | \(0.0584501\pi\) | |||||||
\(338\) | 5.33346 | − | 3.07927i | 0.290102 | − | 0.167490i | ||||
\(339\) | 10.4308 | − | 10.4308i | 0.566525 | − | 0.566525i | ||||
\(340\) | −3.92353 | − | 6.71776i | −0.212783 | − | 0.364322i | ||||
\(341\) | 11.1192 | + | 11.1192i | 0.602141 | + | 0.602141i | ||||
\(342\) | 0.124606 | + | 0.465034i | 0.00673789 | + | 0.0251462i | ||||
\(343\) | 32.2138 | + | 32.2138i | 1.73938 | + | 1.73938i | ||||
\(344\) | −1.35953 | −0.0733011 | ||||||||
\(345\) | 31.6962 | − | 8.66352i | 1.70647 | − | 0.466428i | ||||
\(346\) | −0.101856 | + | 0.380133i | −0.00547583 | + | 0.0204361i | ||||
\(347\) | − | 13.5539i | − | 0.727613i | −0.931474 | − | 0.363807i | \(-0.881477\pi\) | ||
0.931474 | − | 0.363807i | \(-0.118523\pi\) | |||||||
\(348\) | −6.40399 | + | 11.0920i | −0.343290 | + | 0.594595i | ||||
\(349\) | 0.794285 | + | 0.458581i | 0.0425171 | + | 0.0245473i | 0.521108 | − | 0.853491i | \(-0.325519\pi\) |
−0.478591 | + | 0.878038i | \(0.658852\pi\) | |||||||
\(350\) | 23.3061 | − | 6.49597i | 1.24576 | − | 0.347224i | ||||
\(351\) | 12.9580 | + | 3.47210i | 0.691649 | + | 0.185327i | ||||
\(352\) | 0.902215 | + | 1.56268i | 0.0480882 | + | 0.0832912i | ||||
\(353\) | 6.70307 | − | 11.6101i | 0.356768 | − | 0.617941i | −0.630651 | − | 0.776067i | \(-0.717212\pi\) |
0.987419 | + | 0.158126i | \(0.0505452\pi\) | |||||||
\(354\) | −9.41087 | + | 16.3001i | −0.500182 | + | 0.866341i | ||||
\(355\) | −12.8976 | + | 22.6002i | −0.684533 | + | 1.19949i | ||||
\(356\) | −2.75202 | − | 2.75202i | −0.145857 | − | 0.145857i | ||||
\(357\) | −25.5680 | + | 14.7617i | −1.35320 | + | 0.781270i | ||||
\(358\) | 2.24597 | + | 8.38206i | 0.118703 | + | 0.443006i | ||||
\(359\) | 16.4314i | 0.867219i | 0.901101 | + | 0.433609i | \(0.142760\pi\) | ||||
−0.901101 | + | 0.433609i | \(0.857240\pi\) | |||||||
\(360\) | −0.168483 | 0.000844640i | −0.00887985 | 4.45164e-5i | ||||||
\(361\) | 18.9011 | + | 10.9126i | 0.994795 | + | 0.574345i | ||||
\(362\) | 7.00858i | 0.368363i | ||||||||
\(363\) | −13.1177 | − | 3.51488i | −0.688501 | − | 0.184483i | ||||
\(364\) | 8.94962 | + | 8.94962i | 0.469088 | + | 0.469088i | ||||
\(365\) | 9.82774 | + | 2.58060i | 0.514408 | + | 0.135075i | ||||
\(366\) | −4.64248 | − | 8.04102i | −0.242666 | − | 0.420311i | ||||
\(367\) | 21.7636 | + | 5.83154i | 1.13605 | + | 0.304404i | 0.777362 | − | 0.629054i | \(-0.216557\pi\) |
0.358688 | + | 0.933457i | \(0.383224\pi\) | |||||||
\(368\) | 7.25691 | + | 4.18978i | 0.378293 | + | 0.218407i | ||||
\(369\) | −0.195188 | −0.0101611 | ||||||||
\(370\) | 4.93138 | − | 12.6760i | 0.256370 | − | 0.658995i | ||||
\(371\) | 13.0605 | 0.678068 | ||||||||
\(372\) | −13.2351 | − | 7.64130i | −0.686209 | − | 0.396183i | ||||
\(373\) | 1.52720 | + | 0.409211i | 0.0790752 | + | 0.0211881i | 0.298140 | − | 0.954522i | \(-0.403634\pi\) |
−0.219065 | + | 0.975710i | \(0.570301\pi\) | |||||||
\(374\) | −3.13894 | − | 5.43680i | −0.162311 | − | 0.281130i | ||||
\(375\) | −19.0127 | − | 4.78917i | −0.981811 | − | 0.247312i | ||||
\(376\) | 0.101997 | + | 0.101997i | 0.00526012 | + | 0.00526012i | ||||
\(377\) | −18.4523 | − | 4.94429i | −0.950343 | − | 0.254644i | ||||
\(378\) | − | 24.8180i | − | 1.27650i | ||||||
\(379\) | 2.59270 | + | 1.49690i | 0.133178 | + | 0.0768904i | 0.565109 | − | 0.825016i | \(-0.308834\pi\) |
−0.431931 | + | 0.901907i | \(0.642167\pi\) | |||||||
\(380\) | −10.0518 | + | 10.1531i | −0.515649 | + | 0.520845i | ||||
\(381\) | 18.4200i | 0.943685i | ||||||||
\(382\) | −1.98299 | − | 7.40061i | −0.101459 | − | 0.378648i | ||||
\(383\) | 1.85538 | − | 1.07120i | 0.0948053 | − | 0.0547358i | −0.451848 | − | 0.892095i | \(-0.649235\pi\) |
0.546653 | + | 0.837359i | \(0.315902\pi\) | |||||||
\(384\) | −1.24003 | − | 1.24003i | −0.0632800 | − | 0.0632800i | ||||
\(385\) | 18.8332 | − | 5.14768i | 0.959830 | − | 0.262350i | ||||
\(386\) | 4.95730 | − | 8.58629i | 0.252320 | − | 0.437031i | ||||
\(387\) | 0.0512197 | − | 0.0887152i | 0.00260364 | − | 0.00450965i | ||||
\(388\) | 2.06437 | + | 3.57559i | 0.104802 | + | 0.181523i | ||||
\(389\) | 11.7125 | + | 3.13836i | 0.593848 | + | 0.159121i | 0.543211 | − | 0.839596i | \(-0.317208\pi\) |
0.0506365 | + | 0.998717i | \(0.483875\pi\) | |||||||
\(390\) | −2.70425 | − | 9.89375i | −0.136935 | − | 0.500990i | ||||
\(391\) | −25.2479 | − | 14.5769i | −1.27684 | − | 0.737184i | ||||
\(392\) | 8.20741 | − | 14.2156i | 0.414537 | − | 0.717998i | ||||
\(393\) | − | 20.9341i | − | 1.05598i | ||||||
\(394\) | 1.93074 | − | 7.20563i | 0.0972694 | − | 0.363014i | ||||
\(395\) | −8.37420 | − | 30.6377i | −0.421351 | − | 1.54155i | ||||
\(396\) | −0.135962 | −0.00683234 | ||||||||
\(397\) | −15.5183 | − | 15.5183i | −0.778843 | − | 0.778843i | 0.200791 | − | 0.979634i | \(-0.435649\pi\) |
−0.979634 | + | 0.200791i | \(0.935649\pi\) | |||||||
\(398\) | 2.25562 | + | 8.41810i | 0.113064 | + | 0.421961i | ||||
\(399\) | 38.3390 | + | 38.3390i | 1.91935 | + | 1.91935i | ||||
\(400\) | −2.54329 | − | 4.30484i | −0.127164 | − | 0.215242i | ||||
\(401\) | −13.6332 | + | 13.6332i | −0.680808 | + | 0.680808i | −0.960182 | − | 0.279375i | \(-0.909873\pi\) |
0.279375 | + | 0.960182i | \(0.409873\pi\) | |||||||
\(402\) | 14.9730 | − | 8.64464i | 0.746783 | − | 0.431156i | ||||
\(403\) | 5.89957 | − | 22.0175i | 0.293879 | − | 1.09677i | ||||
\(404\) | −7.56823 | + | 4.36952i | −0.376534 | + | 0.217392i | ||||
\(405\) | −10.2190 | + | 17.9066i | −0.507789 | + | 0.889787i | ||||
\(406\) | 35.3410i | 1.75394i | ||||||||
\(407\) | 4.03068 | − | 10.2090i | 0.199793 | − | 0.506043i | ||||
\(408\) | 4.31425 | + | 4.31425i | 0.213587 | + | 0.213587i | ||||
\(409\) | −24.9978 | + | 6.69813i | −1.23606 | + | 0.331201i | −0.816936 | − | 0.576728i | \(-0.804329\pi\) |
−0.419124 | + | 0.907929i | \(0.637663\pi\) | |||||||
\(410\) | −2.92132 | − | 5.00180i | −0.144274 | − | 0.247021i | ||||
\(411\) | 6.58884 | − | 3.80407i | 0.325004 | − | 0.187641i | ||||
\(412\) | −0.598063 | − | 1.03587i | −0.0294644 | − | 0.0510339i | ||||
\(413\) | 51.9347i | 2.55554i | ||||||||
\(414\) | −0.546801 | + | 0.315695i | −0.0268738 | + | 0.0155156i | ||||
\(415\) | −25.7074 | − | 25.4510i | −1.26193 | − | 1.24934i | ||||
\(416\) | 1.30781 | − | 2.26519i | 0.0641206 | − | 0.111060i | ||||
\(417\) | 11.6845 | − | 11.6845i | 0.572193 | − | 0.572193i | ||||
\(418\) | −8.15246 | + | 8.15246i | −0.398750 | + | 0.398750i | ||||
\(419\) | 12.8156 | + | 7.39907i | 0.626081 | + | 0.361468i | 0.779233 | − | 0.626735i | \(-0.215609\pi\) |
−0.153152 | + | 0.988203i | \(0.548942\pi\) | |||||||
\(420\) | −16.3849 | + | 9.56967i | −0.799501 | + | 0.466952i | ||||
\(421\) | 8.16156 | − | 8.16156i | 0.397770 | − | 0.397770i | −0.479676 | − | 0.877446i | \(-0.659246\pi\) |
0.877446 | + | 0.479676i | \(0.159246\pi\) | |||||||
\(422\) | −3.13444 | − | 1.80967i | −0.152582 | − | 0.0880935i | ||||
\(423\) | −0.0104985 | + | 0.00281305i | −0.000510452 | + | 0.000136775i | ||||
\(424\) | −0.698572 | − | 2.60711i | −0.0339257 | − | 0.126612i | ||||
\(425\) | 8.84848 | + | 14.9772i | 0.429214 | + | 0.726500i | ||||
\(426\) | 5.28190 | − | 19.7123i | 0.255909 | − | 0.955065i | ||||
\(427\) | −22.1875 | − | 12.8100i | −1.07373 | − | 0.619918i | ||||
\(428\) | 0.356896 | + | 1.33196i | 0.0172512 | + | 0.0643825i | ||||
\(429\) | −2.14219 | − | 7.99476i | −0.103426 | − | 0.385991i | ||||
\(430\) | 3.03997 | − | 0.0152400i | 0.146600 | − | 0.000734937i | ||||
\(431\) | −3.05539 | − | 0.818691i | −0.147173 | − | 0.0394349i | 0.184480 | − | 0.982836i | \(-0.440940\pi\) |
−0.331653 | + | 0.943401i | \(0.607606\pi\) | |||||||
\(432\) | −4.95410 | + | 1.32745i | −0.238354 | + | 0.0638669i | ||||
\(433\) | −18.4572 | − | 18.4572i | −0.886996 | − | 0.886996i | 0.107237 | − | 0.994233i | \(-0.465800\pi\) |
−0.994233 | + | 0.107237i | \(0.965800\pi\) | |||||||
\(434\) | −42.1692 | −2.02419 | ||||||||
\(435\) | 14.1952 | − | 24.8740i | 0.680609 | − | 1.19262i | ||||
\(436\) | 1.73568 | − | 1.73568i | 0.0831241 | − | 0.0831241i | ||||
\(437\) | −13.8574 | + | 51.7164i | −0.662888 | + | 2.47393i | ||||
\(438\) | −7.96883 | −0.380766 | ||||||||
\(439\) | 6.74905 | − | 25.1878i | 0.322115 | − | 1.20215i | −0.595066 | − | 0.803677i | \(-0.702874\pi\) |
0.917181 | − | 0.398472i | \(-0.130459\pi\) | |||||||
\(440\) | −2.03491 | − | 3.48411i | −0.0970103 | − | 0.166098i | ||||
\(441\) | 0.618419 | + | 1.07113i | 0.0294485 | + | 0.0510064i | ||||
\(442\) | −4.55006 | + | 7.88094i | −0.216424 | + | 0.374858i | ||||
\(443\) | 6.81050 | − | 6.81050i | 0.323577 | − | 0.323577i | −0.526561 | − | 0.850137i | \(-0.676519\pi\) |
0.850137 | + | 0.526561i | \(0.176519\pi\) | |||||||
\(444\) | −1.21585 | + | 10.5976i | −0.0577018 | + | 0.502941i | ||||
\(445\) | 6.18448 | + | 6.12279i | 0.293173 | + | 0.290248i | ||||
\(446\) | −0.934023 | − | 3.48582i | −0.0442272 | − | 0.165058i | ||||
\(447\) | −5.97823 | + | 22.3111i | −0.282761 | + | 1.05528i | ||||
\(448\) | −4.67400 | − | 1.25240i | −0.220826 | − | 0.0591701i | ||||
\(449\) | −13.6000 | − | 3.64411i | −0.641823 | − | 0.171976i | −0.0767941 | − | 0.997047i | \(-0.524468\pi\) |
−0.565029 | + | 0.825071i | \(0.691135\pi\) | |||||||
\(450\) | 0.376726 | − | 0.00377730i | 0.0177590 | − | 0.000178063i | ||||
\(451\) | −2.33714 | − | 4.04805i | −0.110052 | − | 0.190615i | ||||
\(452\) | −8.41175 | −0.395656 | ||||||||
\(453\) | −17.8258 | + | 4.77640i | −0.837528 | + | 0.224415i | ||||
\(454\) | − | 12.4513i | − | 0.584369i | ||||||
\(455\) | −20.1120 | − | 19.9114i | −0.942867 | − | 0.933460i | ||||
\(456\) | 5.60249 | − | 9.70379i | 0.262361 | − | 0.454422i | ||||
\(457\) | −9.48058 | − | 16.4208i | −0.443483 | − | 0.768135i | 0.554462 | − | 0.832209i | \(-0.312924\pi\) |
−0.997945 | + | 0.0640742i | \(0.979591\pi\) | |||||||
\(458\) | −17.9767 | −0.839994 | ||||||||
\(459\) | 17.2361 | − | 4.61839i | 0.804510 | − | 0.215568i | ||||
\(460\) | −16.2737 | − | 9.28716i | −0.758765 | − | 0.433016i | ||||
\(461\) | 3.92362 | − | 1.05133i | 0.182741 | − | 0.0489654i | −0.166288 | − | 0.986077i | \(-0.553178\pi\) |
0.349029 | + | 0.937112i | \(0.386511\pi\) | |||||||
\(462\) | −13.2606 | + | 7.65601i | −0.616939 | + | 0.356190i | ||||
\(463\) | −1.04021 | + | 0.600566i | −0.0483427 | + | 0.0279107i | −0.523977 | − | 0.851733i | \(-0.675552\pi\) |
0.475634 | + | 0.879643i | \(0.342219\pi\) | |||||||
\(464\) | 7.05467 | − | 1.89029i | 0.327505 | − | 0.0877547i | ||||
\(465\) | 29.6799 | + | 16.9379i | 1.37637 | + | 0.785476i | ||||
\(466\) | −13.3555 | + | 3.57860i | −0.618682 | + | 0.165775i | ||||
\(467\) | 35.6633 | 1.65030 | 0.825150 | − | 0.564914i | \(-0.191091\pi\) | ||||
0.825150 | + | 0.564914i | \(0.191091\pi\) | |||||||
\(468\) | 0.0985420 | + | 0.170680i | 0.00455511 | + | 0.00788968i | ||||
\(469\) | 23.8531 | − | 41.3148i | 1.10143 | − | 1.90774i | ||||
\(470\) | −0.229214 | − | 0.226927i | −0.0105728 | − | 0.0104674i | ||||
\(471\) | − | 5.41048i | − | 0.249302i | ||||||
\(472\) | 10.3671 | − | 2.77785i | 0.477184 | − | 0.127861i | ||||
\(473\) | 2.45318 | 0.112797 | ||||||||
\(474\) | 12.4547 | + | 21.5722i | 0.572064 | + | 0.990845i | ||||
\(475\) | 22.3625 | − | 22.8155i | 1.02606 | − | 1.04685i | ||||
\(476\) | 16.2616 | + | 4.35727i | 0.745347 | + | 0.199715i | ||||
\(477\) | 0.196443 | + | 0.0526367i | 0.00899450 | + | 0.00241007i | ||||
\(478\) | 7.64800 | − | 28.5427i | 0.349811 | − | 1.30551i | ||||
\(479\) | 9.09174 | + | 33.9308i | 0.415412 | + | 1.55034i | 0.784009 | + | 0.620750i | \(0.213172\pi\) |
−0.368597 | + | 0.929589i | \(0.620162\pi\) | |||||||
\(480\) | 2.78666 | + | 2.75886i | 0.127193 | + | 0.125924i | ||||
\(481\) | −15.7373 | + | 2.33935i | −0.717557 | + | 0.106665i | ||||
\(482\) | 7.53089 | − | 7.53089i | 0.343023 | − | 0.343023i | ||||
\(483\) | −35.5536 | + | 61.5806i | −1.61774 | + | 2.80202i | ||||
\(484\) | 3.87202 | + | 6.70653i | 0.176001 | + | 0.304842i | ||||
\(485\) | −4.65609 | − | 7.97203i | −0.211422 | − | 0.361991i | ||||
\(486\) | 0.202621 | − | 0.756190i | 0.00919105 | − | 0.0343015i | ||||
\(487\) | −34.6270 | −1.56910 | −0.784551 | − | 0.620065i | \(-0.787106\pi\) | ||||
−0.784551 | + | 0.620065i | \(0.787106\pi\) | |||||||
\(488\) | −1.37034 | + | 5.11419i | −0.0620325 | + | 0.231509i | ||||
\(489\) | 11.4485 | − | 11.4485i | 0.517721 | − | 0.517721i | ||||
\(490\) | −18.1927 | + | 31.8787i | −0.821864 | + | 1.44013i | ||||
\(491\) | −38.1904 | −1.72351 | −0.861754 | − | 0.507327i | \(-0.830634\pi\) | ||||
−0.861754 | + | 0.507327i | \(0.830634\pi\) | |||||||
\(492\) | 3.21223 | + | 3.21223i | 0.144819 | + | 0.144819i | ||||
\(493\) | −24.5443 | + | 6.57661i | −1.10542 | + | 0.296196i | ||||
\(494\) | 16.1429 | + | 4.32548i | 0.726304 | + | 0.194613i | ||||
\(495\) | 0.304016 | − | 0.00152409i | 0.0136645 | − | 6.85029e-5i | ||||
\(496\) | 2.25552 | + | 8.41771i | 0.101276 | + | 0.377966i | ||||
\(497\) | −14.5743 | − | 54.3921i | −0.653748 | − | 2.43982i | ||||
\(498\) | 24.5697 | + | 14.1853i | 1.10100 | + | 0.635660i | ||||
\(499\) | 9.53373 | − | 35.5804i | 0.426788 | − | 1.59280i | −0.333198 | − | 0.942857i | \(-0.608128\pi\) |
0.759986 | − | 0.649939i | \(-0.225206\pi\) | |||||||
\(500\) | 5.73515 | + | 9.59729i | 0.256484 | + | 0.429204i | ||||
\(501\) | 2.72770 | + | 10.1799i | 0.121864 | + | 0.454804i | ||||
\(502\) | 25.5005 | − | 6.83285i | 1.13815 | − | 0.304965i | ||||
\(503\) | −23.0758 | − | 13.3228i | −1.02890 | − | 0.594034i | −0.112229 | − | 0.993682i | \(-0.535799\pi\) |
−0.916669 | + | 0.399648i | \(0.869132\pi\) | |||||||
\(504\) | 0.257815 | − | 0.257815i | 0.0114840 | − | 0.0114840i | ||||
\(505\) | 16.8739 | − | 9.85526i | 0.750878 | − | 0.438553i | ||||
\(506\) | −13.0946 | − | 7.56016i | −0.582125 | − | 0.336090i | ||||
\(507\) | 7.63678 | − | 7.63678i | 0.339161 | − | 0.339161i | ||||
\(508\) | 7.42724 | − | 7.42724i | 0.329530 | − | 0.329530i | ||||
\(509\) | 12.6773 | − | 21.9577i | 0.561910 | − | 0.973257i | −0.435420 | − | 0.900228i | \(-0.643400\pi\) |
0.997330 | − | 0.0730294i | \(-0.0232667\pi\) | |||||||
\(510\) | −9.69519 | − | 9.59847i | −0.429310 | − | 0.425027i | ||||
\(511\) | −19.0425 | + | 10.9942i | −0.842390 | + | 0.486354i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | −16.3853 | − | 28.3802i | −0.723430 | − | 1.25302i | ||||
\(514\) | 12.3176 | − | 7.11154i | 0.543304 | − | 0.313677i | ||||
\(515\) | 1.34890 | + | 2.30955i | 0.0594398 | + | 0.101771i | ||||
\(516\) | −2.30293 | + | 0.617069i | −0.101381 | + | 0.0271649i | ||||
\(517\) | −0.184047 | − | 0.184047i | −0.00809439 | − | 0.00809439i | ||||
\(518\) | 11.7156 | + | 27.0017i | 0.514752 | + | 1.18639i | ||||
\(519\) | 0.690143i | 0.0302939i | ||||||||
\(520\) | −2.89892 | + | 5.07972i | −0.127126 | + | 0.222760i | ||||
\(521\) | −20.7644 | + | 11.9884i | −0.909707 | + | 0.525220i | −0.880337 | − | 0.474349i | \(-0.842683\pi\) |
−0.0293701 | + | 0.999569i | \(0.509350\pi\) | |||||||
\(522\) | −0.142432 | + | 0.531562i | −0.00623407 | + | 0.0232659i | ||||
\(523\) | 34.1892 | − | 19.7392i | 1.49499 | − | 0.863133i | 0.495007 | − | 0.868889i | \(-0.335165\pi\) |
0.999983 | + | 0.00575557i | \(0.00183207\pi\) | |||||||
\(524\) | −8.44095 | + | 8.44095i | −0.368745 | + | 0.368745i | ||||
\(525\) | 36.5300 | − | 21.5818i | 1.59430 | − | 0.941908i | ||||
\(526\) | −13.9894 | − | 13.9894i | −0.609965 | − | 0.609965i | ||||
\(527\) | −7.84728 | − | 29.2865i | −0.341833 | − | 1.27574i | ||||
\(528\) | 2.23755 | + | 2.23755i | 0.0973767 | + | 0.0973767i | ||||
\(529\) | −47.2170 | −2.05291 | ||||||||
\(530\) | 1.59126 | + | 5.82176i | 0.0691199 | + | 0.252881i | ||||
\(531\) | −0.209308 | + | 0.781149i | −0.00908320 | + | 0.0338990i | ||||
\(532\) | − | 30.9178i | − | 1.34046i | ||||||
\(533\) | −3.38781 | + | 5.86786i | −0.146742 | + | 0.254165i | ||||
\(534\) | −5.91078 | − | 3.41259i | −0.255785 | − | 0.147677i | ||||
\(535\) | −0.812965 | − | 2.97430i | −0.0351476 | − | 0.128590i | ||||
\(536\) | −9.52300 | − | 2.55168i | −0.411331 | − | 0.110216i | ||||
\(537\) | 7.60894 | + | 13.1791i | 0.328350 | + | 0.568719i | ||||
\(538\) | 1.57572 | − | 2.72923i | 0.0679343 | − | 0.117666i | ||||
\(539\) | −14.8097 | + | 25.6511i | −0.637898 | + | 1.10487i | ||||
\(540\) | 11.0627 | − | 3.02376i | 0.476062 | − | 0.130122i | ||||
\(541\) | −24.9396 | − | 24.9396i | −1.07224 | − | 1.07224i | −0.997179 | − | 0.0750574i | \(-0.976086\pi\) |
−0.0750574 | − | 0.997179i | \(-0.523914\pi\) | |||||||
\(542\) | 10.9202 | − | 6.30478i | 0.469063 | − | 0.270813i | ||||
\(543\) | 3.18107 | + | 11.8719i | 0.136513 | + | 0.509473i | ||||
\(544\) | − | 3.47915i | − | 0.149167i | ||||||
\(545\) | −3.86160 | + | 3.90051i | −0.165413 | + | 0.167080i | ||||
\(546\) | 19.2219 | + | 11.0978i | 0.822624 | + | 0.474942i | ||||
\(547\) | − | 27.6892i | − | 1.18391i | −0.805973 | − | 0.591953i | \(-0.798357\pi\) | ||
0.805973 | − | 0.591953i | \(-0.201643\pi\) | |||||||
\(548\) | −4.19059 | − | 1.12287i | −0.179013 | − | 0.0479664i | ||||
\(549\) | −0.282095 | − | 0.282095i | −0.0120395 | − | 0.0120395i | ||||
\(550\) | 4.58919 | + | 7.76779i | 0.195684 | + | 0.331220i | ||||
\(551\) | 23.3328 | + | 40.4136i | 0.994011 | + | 1.72168i | ||||
\(552\) | 14.1942 | + | 3.80333i | 0.604147 | + | 0.161881i | ||||
\(553\) | 59.5241 | + | 34.3663i | 2.53122 | + | 1.46140i | ||||
\(554\) | −3.29021 | −0.139788 | ||||||||
\(555\) | 2.59990 | − | 23.7103i | 0.110360 | − | 1.00645i | ||||
\(556\) | −9.42276 | −0.399614 | ||||||||
\(557\) | 13.4690 | + | 7.77630i | 0.570698 | + | 0.329492i | 0.757428 | − | 0.652919i | \(-0.226456\pi\) |
−0.186730 | + | 0.982411i | \(0.559789\pi\) | |||||||
\(558\) | −0.634265 | − | 0.169951i | −0.0268506 | − | 0.00719460i | ||||
\(559\) | −1.77801 | − | 3.07960i | −0.0752018 | − | 0.130253i | ||||
\(560\) | 10.4653 | + | 2.74801i | 0.442240 | + | 0.116125i | ||||
\(561\) | −7.78476 | − | 7.78476i | −0.328673 | − | 0.328673i | ||||
\(562\) | −0.778302 | − | 0.208545i | −0.0328307 | − | 0.00879696i | ||||
\(563\) | − | 6.39301i | − | 0.269433i | −0.990884 | − | 0.134717i | \(-0.956988\pi\) | ||
0.990884 | − | 0.134717i | \(-0.0430124\pi\) | |||||||
\(564\) | 0.219070 | + | 0.126480i | 0.00922449 | + | 0.00532576i | ||||
\(565\) | 18.8090 | − | 0.0942933i | 0.791301 | − | 0.00396695i | ||||
\(566\) | − | 12.3041i | − | 0.517180i | ||||||
\(567\) | −11.5476 | − | 43.0960i | −0.484952 | − | 1.80986i | ||||
\(568\) | −10.0781 | + | 5.81858i | −0.422866 | + | 0.244142i | ||||
\(569\) | −0.679587 | − | 0.679587i | −0.0284897 | − | 0.0284897i | 0.692718 | − | 0.721208i | \(-0.256413\pi\) |
−0.721208 | + | 0.692718i | \(0.756413\pi\) | |||||||
\(570\) | −12.4186 | + | 21.7609i | −0.520158 | + | 0.911463i | ||||
\(571\) | −15.2224 | + | 26.3660i | −0.637038 | + | 1.10338i | 0.349042 | + | 0.937107i | \(0.386507\pi\) |
−0.986079 | + | 0.166275i | \(0.946826\pi\) | |||||||
\(572\) | −2.35985 | + | 4.08738i | −0.0986703 | + | 0.170902i | ||||
\(573\) | −6.71802 | − | 11.6359i | −0.280649 | − | 0.486099i | ||||
\(574\) | 12.1078 | + | 3.24427i | 0.505369 | + | 0.135413i | ||||
\(575\) | 36.4928 | + | 20.5840i | 1.52185 | + | 0.858414i | ||||
\(576\) | −0.0652541 | − | 0.0376745i | −0.00271892 | − | 0.00156977i | ||||
\(577\) | 3.55763 | − | 6.16200i | 0.148106 | − | 0.256527i | −0.782421 | − | 0.622749i | \(-0.786016\pi\) |
0.930527 | + | 0.366222i | \(0.119349\pi\) | |||||||
\(578\) | − | 4.89553i | − | 0.203627i | ||||||
\(579\) | 4.50006 | − | 16.7945i | 0.187016 | − | 0.697954i | ||||
\(580\) | −15.7533 | + | 4.30585i | −0.654122 | + | 0.178791i | ||||
\(581\) | 78.2831 | 3.24773 | ||||||||
\(582\) | 5.11976 | + | 5.11976i | 0.212221 | + | 0.212221i | ||||
\(583\) | 1.26052 | + | 4.70434i | 0.0522056 | + | 0.194834i | ||||
\(584\) | 3.21316 | + | 3.21316i | 0.132962 | + | 0.132962i | ||||
\(585\) | −0.222257 | − | 0.380542i | −0.00918920 | − | 0.0157335i | ||||
\(586\) | −8.48211 | + | 8.48211i | −0.350393 | + | 0.350393i | ||||
\(587\) | −15.6999 | + | 9.06433i | −0.648003 | + | 0.374125i | −0.787691 | − | 0.616071i | \(-0.788724\pi\) |
0.139687 | + | 0.990196i | \(0.455390\pi\) | |||||||
\(588\) | 7.45039 | − | 27.8053i | 0.307249 | − | 1.14667i | ||||
\(589\) | −48.2219 | + | 27.8409i | −1.98695 | + | 1.14717i | ||||
\(590\) | −23.1501 | + | 6.32760i | −0.953073 | + | 0.260503i | ||||
\(591\) | − | 13.0820i | − | 0.538123i | ||||||
\(592\) | 4.76338 | − | 3.78288i | 0.195774 | − | 0.155475i | ||||
\(593\) | 8.04997 | + | 8.04997i | 0.330573 | + | 0.330573i | 0.852804 | − | 0.522231i | \(-0.174900\pi\) |
−0.522231 | + | 0.852804i | \(0.674900\pi\) | |||||||
\(594\) | 8.93933 | − | 2.39529i | 0.366785 | − | 0.0982798i | ||||
\(595\) | −36.4103 | − | 9.56074i | −1.49268 | − | 0.391952i | ||||
\(596\) | 11.4067 | − | 6.58566i | 0.467237 | − | 0.269759i | ||||
\(597\) | 7.64166 | + | 13.2357i | 0.312752 | + | 0.541703i | ||||
\(598\) | 21.9177i | 0.896282i | ||||||||
\(599\) | 0.467718 | − | 0.270037i | 0.0191104 | − | 0.0110334i | −0.490414 | − | 0.871489i | \(-0.663155\pi\) |
0.509525 | + | 0.860456i | \(0.329821\pi\) | |||||||
\(600\) | −6.26200 | − | 6.13767i | −0.255645 | − | 0.250570i | ||||
\(601\) | 19.1979 | − | 33.2517i | 0.783097 | − | 1.35636i | −0.147032 | − | 0.989132i | \(-0.546972\pi\) |
0.930129 | − | 0.367232i | \(-0.119695\pi\) | |||||||
\(602\) | −4.65179 | + | 4.65179i | −0.189593 | + | 0.189593i | ||||
\(603\) | 0.525281 | − | 0.525281i | 0.0213911 | − | 0.0213911i | ||||
\(604\) | 9.11356 | + | 5.26172i | 0.370826 | + | 0.214096i | ||||
\(605\) | −8.73316 | − | 14.9527i | −0.355054 | − | 0.607912i | ||||
\(606\) | −10.8367 | + | 10.8367i | −0.440210 | + | 0.440210i | ||||
\(607\) | 11.6274 | + | 6.71310i | 0.471943 | + | 0.272476i | 0.717053 | − | 0.697019i | \(-0.245491\pi\) |
−0.245110 | + | 0.969495i | \(0.578824\pi\) | |||||||
\(608\) | −6.17174 | + | 1.65371i | −0.250297 | + | 0.0670669i | ||||
\(609\) | 16.0407 | + | 59.8645i | 0.650000 | + | 2.42583i | ||||
\(610\) | 3.00681 | − | 11.4509i | 0.121742 | − | 0.463633i | ||||
\(611\) | −0.0976506 | + | 0.364437i | −0.00395052 | + | 0.0147435i | ||||
\(612\) | 0.227029 | + | 0.131075i | 0.00917709 | + | 0.00529840i | ||||
\(613\) | 2.92001 | + | 10.8976i | 0.117938 | + | 0.440151i | 0.999490 | − | 0.0319365i | \(-0.0101674\pi\) |
−0.881552 | + | 0.472087i | \(0.843501\pi\) | |||||||
\(614\) | −7.00125 | − | 26.1290i | −0.282548 | − | 1.05448i | ||||
\(615\) | −7.21869 | − | 7.14668i | −0.291086 | − | 0.288182i | ||||
\(616\) | 8.43391 | + | 2.25986i | 0.339812 | + | 0.0910524i | ||||
\(617\) | −5.62193 | + | 1.50639i | −0.226330 | + | 0.0606450i | −0.370202 | − | 0.928951i | \(-0.620711\pi\) |
0.143872 | + | 0.989596i | \(0.454045\pi\) | |||||||
\(618\) | −1.48323 | − | 1.48323i | −0.0596643 | − | 0.0596643i | ||||
\(619\) | 31.6242 | 1.27108 | 0.635542 | − | 0.772066i | \(-0.280777\pi\) | ||||
0.635542 | + | 0.772066i | \(0.280777\pi\) | |||||||
\(620\) | −5.13779 | − | 18.7970i | −0.206339 | − | 0.754908i | ||||
\(621\) | 30.3898 | − | 30.3898i | 1.21950 | − | 1.21950i | ||||
\(622\) | 3.57605 | − | 13.3460i | 0.143387 | − | 0.535126i | ||||
\(623\) | −18.8327 | −0.754516 | ||||||||
\(624\) | 1.18718 | − | 4.43063i | 0.0475254 | − | 0.177367i | ||||
\(625\) | −12.9316 | − | 21.3956i | −0.517264 | − | 0.855826i | ||||
\(626\) | 1.91505 | + | 3.31696i | 0.0765407 | + | 0.132572i | ||||
\(627\) | −10.1093 | + | 17.5098i | −0.403726 | + | 0.699275i | ||||
\(628\) | −2.18159 | + | 2.18159i | −0.0870551 | + | 0.0870551i | ||||
\(629\) | −16.5725 | + | 13.1612i | −0.660789 | + | 0.524772i | ||||
\(630\) | −0.573594 | + | 0.579374i | −0.0228525 | + | 0.0230828i | ||||
\(631\) | 0.368325 | + | 1.37461i | 0.0146628 | + | 0.0547222i | 0.972870 | − | 0.231354i | \(-0.0743156\pi\) |
−0.958207 | + | 0.286076i | \(0.907649\pi\) | |||||||
\(632\) | 3.67632 | − | 13.7202i | 0.146236 | − | 0.545761i | ||||
\(633\) | −6.13085 | − | 1.64276i | −0.243680 | − | 0.0652937i | ||||
\(634\) | −7.49692 | − | 2.00879i | −0.297741 | − | 0.0797793i | ||||
\(635\) | −16.5243 | + | 16.6909i | −0.655749 | + | 0.662357i | ||||
\(636\) | −2.36664 | − | 4.09914i | −0.0938434 | − | 0.162542i | ||||
\(637\) | 42.9349 | 1.70114 | ||||||||
\(638\) | −12.7297 | + | 3.41090i | −0.503972 | + | 0.135039i | ||||
\(639\) | − | 0.876847i | − | 0.0346875i | ||||||
\(640\) | −0.0112097 | − | 2.23604i | −0.000443102 | − | 0.0883872i | ||||
\(641\) | −10.9917 | + | 19.0382i | −0.434147 | + | 0.751964i | −0.997226 | − | 0.0744390i | \(-0.976283\pi\) |
0.563079 | + | 0.826403i | \(0.309617\pi\) | |||||||
\(642\) | 1.20910 | + | 2.09423i | 0.0477195 | + | 0.0826525i | ||||
\(643\) | 44.3917 | 1.75064 | 0.875319 | − | 0.483546i | \(-0.160651\pi\) | ||||
0.875319 | + | 0.483546i | \(0.160651\pi\) | |||||||
\(644\) | 39.1661 | − | 10.4945i | 1.54336 | − | 0.413542i | ||||
\(645\) | 5.14253 | − | 1.40561i | 0.202487 | − | 0.0553456i | ||||
\(646\) | 21.4724 | − | 5.75351i | 0.844820 | − | 0.226369i | ||||
\(647\) | −31.5064 | + | 18.1902i | −1.23865 | + | 0.715132i | −0.968817 | − | 0.247776i | \(-0.920300\pi\) |
−0.269828 | + | 0.962908i | \(0.586967\pi\) | |||||||
\(648\) | −7.98507 | + | 4.61018i | −0.313683 | + | 0.181105i | ||||
\(649\) | −18.7067 | + | 5.01244i | −0.734301 | + | 0.196755i | ||||
\(650\) | 6.42516 | − | 11.3909i | 0.252016 | − | 0.446790i | ||||
\(651\) | −71.4309 | + | 19.1399i | −2.79960 | + | 0.750150i | ||||
\(652\) | −9.23247 | −0.361572 | ||||||||
\(653\) | 12.4658 | + | 21.5913i | 0.487823 | + | 0.844934i | 0.999902 | − | 0.0140044i | \(-0.00445788\pi\) |
−0.512079 | + | 0.858938i | \(0.671125\pi\) | |||||||
\(654\) | 2.15230 | − | 3.72789i | 0.0841615 | − | 0.145772i | ||||
\(655\) | 18.7797 | − | 18.9689i | 0.733783 | − | 0.741177i | ||||
\(656\) | − | 2.59045i | − | 0.101140i | ||||||
\(657\) | −0.330726 | + | 0.0886178i | −0.0129029 | + | 0.00345731i | ||||
\(658\) | 0.697991 | 0.0272105 | ||||||||
\(659\) | −9.94693 | − | 17.2286i | −0.387477 | − | 0.671131i | 0.604632 | − | 0.796505i | \(-0.293320\pi\) |
−0.992110 | + | 0.125374i | \(0.959987\pi\) | |||||||
\(660\) | −5.02833 | − | 4.97816i | −0.195727 | − | 0.193775i | ||||
\(661\) | −36.1647 | − | 9.69031i | −1.40665 | − | 0.376909i | −0.525919 | − | 0.850535i | \(-0.676278\pi\) |
−0.880726 | + | 0.473625i | \(0.842945\pi\) | |||||||
\(662\) | −3.24978 | − | 0.870777i | −0.126306 | − | 0.0338437i | ||||
\(663\) | −4.13039 | + | 15.4148i | −0.160411 | + | 0.598662i | ||||
\(664\) | −4.18715 | − | 15.6267i | −0.162493 | − | 0.606432i | ||||
\(665\) | 0.346580 | + | 69.1335i | 0.0134398 | + | 2.68088i | ||||
\(666\) | 0.0673905 | + | 0.453348i | 0.00261133 | + | 0.0175669i | ||||
\(667\) | −43.2752 | + | 43.2752i | −1.67562 | + | 1.67562i | ||||
\(668\) | 3.00485 | − | 5.20455i | 0.116261 | − | 0.201370i | ||||
\(669\) | −3.16430 | − | 5.48074i | −0.122339 | − | 0.211898i | ||||
\(670\) | 21.3224 | + | 5.59891i | 0.823756 | + | 0.216305i | ||||
\(671\) | 2.47269 | − | 9.22820i | 0.0954571 | − | 0.356251i | ||||
\(672\) | −8.48579 | −0.327347 | ||||||||
\(673\) | −6.44979 | + | 24.0710i | −0.248621 | + | 0.927867i | 0.722907 | + | 0.690945i | \(0.242805\pi\) |
−0.971529 | + | 0.236922i | \(0.923861\pi\) | |||||||
\(674\) | −2.02742 | + | 2.02742i | −0.0780933 | + | 0.0780933i | ||||
\(675\) | −24.7027 | + | 6.88526i | −0.950808 | + | 0.265014i | ||||
\(676\) | −6.15854 | −0.236867 | ||||||||
\(677\) | 7.00253 | + | 7.00253i | 0.269129 | + | 0.269129i | 0.828749 | − | 0.559620i | \(-0.189053\pi\) |
−0.559620 | + | 0.828749i | \(0.689053\pi\) | |||||||
\(678\) | −14.2488 | + | 3.81795i | −0.547221 | + | 0.146627i | ||||
\(679\) | 19.2977 | + | 5.17081i | 0.740579 | + | 0.198438i | ||||
\(680\) | 0.0390002 | + | 7.77951i | 0.00149559 | + | 0.298331i | ||||
\(681\) | −5.65143 | − | 21.0914i | −0.216563 | − | 0.808225i | ||||
\(682\) | −4.06992 | − | 15.1892i | −0.155845 | − | 0.581623i | ||||
\(683\) | −37.6536 | − | 21.7393i | −1.44078 | − | 0.831832i | −0.442874 | − | 0.896584i | \(-0.646041\pi\) |
−0.997901 | + | 0.0647514i | \(0.979375\pi\) | |||||||
\(684\) | 0.124606 | − | 0.465034i | 0.00476441 | − | 0.0177810i | ||||
\(685\) | 9.38291 | + | 2.46380i | 0.358503 | + | 0.0941368i | ||||
\(686\) | −11.7911 | − | 44.0049i | −0.450185 | − | 1.68011i | ||||
\(687\) | −30.4509 | + | 8.15929i | −1.16177 | + | 0.311296i | ||||
\(688\) | 1.17739 | + | 0.679767i | 0.0448876 | + | 0.0259159i | ||||
\(689\) | 4.99200 | − | 4.99200i | 0.190180 | − | 0.190180i | ||||
\(690\) | −31.7815 | − | 8.34529i | −1.20990 | − | 0.317700i | ||||
\(691\) | 33.4252 | + | 19.2981i | 1.27156 | + | 0.734133i | 0.975281 | − | 0.220969i | \(-0.0709220\pi\) |
0.296276 | + | 0.955102i | \(0.404255\pi\) | |||||||
\(692\) | 0.278277 | − | 0.278277i | 0.0105785 | − | 0.0105785i | ||||
\(693\) | −0.465208 | + | 0.465208i | −0.0176718 | + | 0.0176718i | ||||
\(694\) | −6.77697 | + | 11.7381i | −0.257250 | + | 0.445570i | ||||
\(695\) | 21.0697 | − | 0.105626i | 0.799218 | − | 0.00400664i | ||||
\(696\) | 11.0920 | − | 6.40399i | 0.420442 | − | 0.242742i | ||||
\(697\) | 9.01256i | 0.341375i | ||||||||
\(698\) | −0.458581 | − | 0.794285i | −0.0173575 | − | 0.0300641i | ||||
\(699\) | −20.9988 | + | 12.1237i | −0.794248 | + | 0.458559i | ||||
\(700\) | −23.4316 | − | 6.02735i | −0.885632 | − | 0.227813i | ||||
\(701\) | 48.7459 | − | 13.0614i | 1.84111 | − | 0.493323i | 0.842161 | − | 0.539226i | \(-0.181283\pi\) |
0.998946 | + | 0.0459030i | \(0.0146165\pi\) | |||||||
\(702\) | −9.48594 | − | 9.48594i | −0.358024 | − | 0.358024i | ||||
\(703\) | 31.2242 | + | 23.1426i | 1.17764 | + | 0.872838i | ||||
\(704\) | − | 1.80443i | − | 0.0680070i | ||||||
\(705\) | −0.491266 | − | 0.280358i | −0.0185022 | − | 0.0105589i | ||||
\(706\) | −11.6101 | + | 6.70307i | −0.436950 | + | 0.252273i | ||||
\(707\) | −10.9447 | + | 40.8463i | −0.411619 | + | 1.53618i | ||||
\(708\) | 16.3001 | − | 9.41087i | 0.612596 | − | 0.353682i | ||||
\(709\) | 25.9991 | − | 25.9991i | 0.976416 | − | 0.976416i | −0.0233124 | − | 0.999728i | \(-0.507421\pi\) |
0.999728 | + | 0.0233124i | \(0.00742123\pi\) | |||||||
\(710\) | 22.4697 | − | 13.1235i | 0.843274 | − | 0.492518i | ||||
\(711\) | 0.756797 | + | 0.756797i | 0.0283821 | + | 0.0283821i | ||||
\(712\) | 1.00731 | + | 3.75933i | 0.0377506 | + | 0.140887i | ||||
\(713\) | −51.6364 | − | 51.6364i | −1.93380 | − | 1.93380i | ||||
\(714\) | 29.5233 | 1.10488 | ||||||||
\(715\) | 5.23090 | − | 9.16600i | 0.195625 | − | 0.342789i | ||||
\(716\) | 2.24597 | − | 8.38206i | 0.0839357 | − | 0.313252i | ||||
\(717\) | − | 51.8201i | − | 1.93526i | ||||||
\(718\) | 8.21572 | − | 14.2301i | 0.306608 | − | 0.531061i | ||||
\(719\) | −16.5495 | − | 9.55486i | −0.617192 | − | 0.356336i | 0.158583 | − | 0.987346i | \(-0.449308\pi\) |
−0.775775 | + | 0.631010i | \(0.782641\pi\) | |||||||
\(720\) | 0.146333 | + | 0.0835102i | 0.00545351 | + | 0.00311224i | ||||
\(721\) | −5.59069 | − | 1.49802i | −0.208208 | − | 0.0557893i | ||||
\(722\) | −10.9126 | − | 18.9011i | −0.406123 | − | 0.703426i | ||||
\(723\) | 9.33853 | − | 16.1748i | 0.347304 | − | 0.601548i | ||||
\(724\) | 3.50429 | − | 6.06961i | 0.130236 | − | 0.225575i | ||||
\(725\) | 35.1768 | − | 9.80465i | 1.30643 | − | 0.364136i | ||||
\(726\) | 9.60283 | + | 9.60283i | 0.356395 | + | 0.356395i | ||||
\(727\) | 13.1377 | − | 7.58505i | 0.487250 | − | 0.281314i | −0.236183 | − | 0.971709i | \(-0.575897\pi\) |
0.723433 | + | 0.690395i | \(0.242563\pi\) | |||||||
\(728\) | −3.27579 | − | 12.2254i | −0.121409 | − | 0.453104i | ||||
\(729\) | 26.2882i | 0.973638i | ||||||||
\(730\) | −7.22078 | − | 7.14874i | −0.267253 | − | 0.264587i | ||||
\(731\) | −4.09632 | − | 2.36501i | −0.151508 | − | 0.0874730i | ||||
\(732\) | 9.28497i | 0.343182i | ||||||||
\(733\) | −31.2438 | − | 8.37175i | −1.15402 | − | 0.309218i | −0.369443 | − | 0.929253i | \(-0.620451\pi\) |
−0.784574 | + | 0.620036i | \(0.787118\pi\) | |||||||
\(734\) | −15.9321 | − | 15.9321i | −0.588063 | − | 0.588063i | ||||
\(735\) | −16.3477 | + | 62.2572i | −0.602994 | + | 2.29639i | ||||
\(736\) | −4.18978 | − | 7.25691i | −0.154437 | − | 0.267493i | ||||
\(737\) | 17.1836 | + | 4.60433i | 0.632965 | + | 0.169603i | ||||
\(738\) | 0.169037 | + | 0.0975938i | 0.00622235 | + | 0.00359248i | ||||
\(739\) | −1.49398 | −0.0549568 | −0.0274784 | − | 0.999622i | \(-0.508748\pi\) | ||||
−0.0274784 | + | 0.999622i | \(0.508748\pi\) | |||||||
\(740\) | −10.6087 | + | 8.51207i | −0.389984 | + | 0.312910i | ||||
\(741\) | 29.3079 | 1.07665 | ||||||||
\(742\) | −11.3107 | − | 6.53026i | −0.415230 | − | 0.239733i | ||||
\(743\) | 6.76786 | + | 1.81344i | 0.248289 | + | 0.0665288i | 0.380817 | − | 0.924650i | \(-0.375643\pi\) |
−0.132528 | + | 0.991179i | \(0.542309\pi\) | |||||||
\(744\) | 7.64130 | + | 13.2351i | 0.280144 | + | 0.485223i | ||||
\(745\) | −25.4320 | + | 14.8537i | −0.931757 | + | 0.544196i | ||||
\(746\) | −1.11799 | − | 1.11799i | −0.0409323 | − | 0.0409323i | ||||
\(747\) | 1.17745 | + | 0.315498i | 0.0430807 | + | 0.0115435i | ||||
\(748\) | 6.27788i | 0.229542i | ||||||||
\(749\) | 5.77859 | + | 3.33627i | 0.211145 | + | 0.121905i | ||||
\(750\) | 14.0709 | + | 13.6539i | 0.513796 | + | 0.498570i | ||||
\(751\) | − | 3.01004i | − | 0.109838i | −0.998491 | − | 0.0549190i | \(-0.982510\pi\) | ||
0.998491 | − | 0.0549190i | \(-0.0174901\pi\) | |||||||
\(752\) | −0.0373337 | − | 0.139331i | −0.00136142 | − | 0.00508088i | ||||
\(753\) | 40.0944 | − | 23.1485i | 1.46112 | − | 0.843578i | ||||
\(754\) | 13.5080 | + | 13.5080i | 0.491934 | + | 0.491934i | ||||
\(755\) | −20.4373 | − | 11.6632i | −0.743788 | − | 0.424469i | ||||
\(756\) | −12.4090 | + | 21.4930i | −0.451311 | + | 0.781693i | ||||
\(757\) | −21.2107 | + | 36.7380i | −0.770916 | + | 1.33527i | 0.166145 | + | 0.986101i | \(0.446868\pi\) |
−0.937061 | + | 0.349165i | \(0.886465\pi\) | |||||||
\(758\) | −1.49690 | − | 2.59270i | −0.0543698 | − | 0.0941712i | ||||
\(759\) | −25.6125 | − | 6.86285i | −0.929675 | − | 0.249106i | ||||
\(760\) | 13.7817 | − | 3.76695i | 0.499915 | − | 0.136642i | ||||
\(761\) | 17.0535 | + | 9.84585i | 0.618189 | + | 0.356912i | 0.776164 | − | 0.630532i | \(-0.217163\pi\) |
−0.157975 | + | 0.987443i | \(0.550496\pi\) | |||||||
\(762\) | 9.21000 | − | 15.9522i | 0.333643 | − | 0.577887i | ||||
\(763\) | − | 11.8776i | − | 0.430000i | ||||||
\(764\) | −1.98299 | + | 7.40061i | −0.0717420 | + | 0.267745i | ||||
\(765\) | −0.509115 | − | 0.290544i | −0.0184071 | − | 0.0105046i | ||||
\(766\) | −2.14240 | −0.0774082 | ||||||||
\(767\) | 19.8505 | + | 19.8505i | 0.716761 | + | 0.716761i | ||||
\(768\) | 0.453882 | + | 1.69391i | 0.0163781 | + | 0.0611238i | ||||
\(769\) | −12.9133 | − | 12.9133i | −0.465667 | − | 0.465667i | 0.434841 | − | 0.900507i | \(-0.356805\pi\) |
−0.900507 | + | 0.434841i | \(0.856805\pi\) | |||||||
\(770\) | −18.8839 | − | 4.95860i | −0.680528 | − | 0.178695i | ||||
\(771\) | 17.6371 | − | 17.6371i | 0.635183 | − | 0.635183i | ||||
\(772\) | −8.58629 | + | 4.95730i | −0.309028 | + | 0.178417i | ||||
\(773\) | 0.348784 | − | 1.30168i | 0.0125449 | − | 0.0468181i | −0.959370 | − | 0.282152i | \(-0.908952\pi\) |
0.971915 | + | 0.235334i | \(0.0756184\pi\) | |||||||
\(774\) | −0.0887152 | + | 0.0512197i | −0.00318880 | + | 0.00184105i | ||||
\(775\) | 11.6990 | + | 41.9734i | 0.420241 | + | 1.50773i | ||||
\(776\) | − | 4.12874i | − | 0.148213i | ||||||
\(777\) | 32.1007 | + | 40.4211i | 1.15161 | + | 1.45010i | ||||
\(778\) | −8.57415 | − | 8.57415i | −0.307398 | − | 0.307398i | ||||
\(779\) | 15.9876 | − | 4.28386i | 0.572814 | − | 0.153485i | ||||
\(780\) | −2.60492 | + | 9.92037i | −0.0932712 | + | 0.355206i | ||||
\(781\) | 18.1852 | − | 10.4992i | 0.650716 | − | 0.375691i | ||||
\(782\) | 14.5769 | + | 25.2479i | 0.521267 | + | 0.902862i | ||||
\(783\) | − | 37.4589i | − | 1.33867i | ||||||
\(784\) | −14.2156 | + | 8.20741i | −0.507702 | + | 0.293122i | ||||
\(785\) | 4.85368 | − | 4.90259i | 0.173235 | − | 0.174981i | ||||
\(786\) | −10.4670 | + | 18.1294i | −0.373347 | + | 0.646656i | ||||
\(787\) | 16.1500 | − | 16.1500i | 0.575684 | − | 0.575684i | −0.358027 | − | 0.933711i | \(-0.616551\pi\) |
0.933711 | + | 0.358027i | \(0.116551\pi\) | |||||||
\(788\) | −5.27489 | + | 5.27489i | −0.187910 | + | 0.187910i | ||||
\(789\) | −30.0463 | − | 17.3472i | −1.06968 | − | 0.617577i | ||||
\(790\) | −8.06660 | + | 30.7201i | −0.286997 | + | 1.09297i | ||||
\(791\) | −28.7817 | + | 28.7817i | −1.02336 | + | 1.02336i | ||||
\(792\) | 0.117746 | + | 0.0679810i | 0.00418394 | + | 0.00241560i | ||||
\(793\) | −13.3768 | + | 3.58429i | −0.475023 | + | 0.127282i | ||||
\(794\) | 5.68010 | + | 21.1984i | 0.201579 | + | 0.752304i | ||||
\(795\) | 5.33785 | + | 9.13931i | 0.189314 | + | 0.324138i | ||||
\(796\) | 2.25562 | − | 8.41810i | 0.0799485 | − | 0.298372i | ||||
\(797\) | 5.89966 | + | 3.40617i | 0.208977 | + | 0.120653i | 0.600836 | − | 0.799372i | \(-0.294835\pi\) |
−0.391859 | + | 0.920025i | \(0.628168\pi\) | |||||||
\(798\) | −14.0331 | − | 52.3721i | −0.496765 | − | 1.85395i | ||||
\(799\) | 0.129889 | + | 0.484754i | 0.00459515 | + | 0.0171493i | ||||
\(800\) | 0.0501307 | + | 4.99975i | 0.00177239 | + | 0.176768i | ||||
\(801\) | −0.283262 | − | 0.0758998i | −0.0100086 | − | 0.00268179i | ||||
\(802\) | 18.6232 | − | 4.99008i | 0.657610 | − | 0.176206i | ||||
\(803\) | −5.79792 | − | 5.79792i | −0.204604 | − | 0.204604i | ||||
\(804\) | −17.2893 | −0.609746 | ||||||||
\(805\) | −87.4593 | + | 23.9052i | −3.08253 | + | 0.842548i | ||||
\(806\) | −16.1179 | + | 16.1179i | −0.567730 | + | 0.567730i | ||||
\(807\) | 1.43039 | − | 5.33828i | 0.0503520 | − | 0.187916i | ||||
\(808\) | 8.73904 | 0.307438 | ||||||||
\(809\) | 7.63342 | − | 28.4883i | 0.268377 | − | 1.00160i | −0.691774 | − | 0.722114i | \(-0.743171\pi\) |
0.960151 | − | 0.279482i | \(-0.0901626\pi\) | |||||||
\(810\) | 17.8033 | − | 10.3981i | 0.625543 | − | 0.365351i | ||||
\(811\) | 24.2594 | + | 42.0185i | 0.851863 | + | 1.47547i | 0.879525 | + | 0.475852i | \(0.157860\pi\) |
−0.0276626 | + | 0.999617i | \(0.508806\pi\) | |||||||
\(812\) | 17.6705 | − | 30.6062i | 0.620113 | − | 1.07407i | ||||
\(813\) | 15.6362 | − | 15.6362i | 0.548386 | − | 0.548386i | ||||
\(814\) | −8.59519 | + | 6.82594i | −0.301261 | + | 0.239249i | ||||
\(815\) | 20.6442 | − | 0.103493i | 0.723134 | − | 0.00362521i | ||||
\(816\) | −1.57912 | − | 5.89337i | −0.0552804 | − | 0.206309i | ||||
\(817\) | −2.24828 | + | 8.39069i | −0.0786573 | + | 0.293553i | ||||
\(818\) | 24.9978 | + | 6.69813i | 0.874026 | + | 0.234195i | ||||
\(819\) | 0.921172 | + | 0.246827i | 0.0321883 | + | 0.00862484i | ||||
\(820\) | 0.0290382 | + | 5.79235i | 0.00101406 | + | 0.202278i | ||||
\(821\) | −10.2729 | − | 17.7932i | −0.358527 | − | 0.620986i | 0.629188 | − | 0.777253i | \(-0.283387\pi\) |
−0.987715 | + | 0.156267i | \(0.950054\pi\) | |||||||
\(822\) | −7.60814 | −0.265364 | ||||||||
\(823\) | 12.9880 | − | 3.48012i | 0.452733 | − | 0.121309i | −0.0252450 | − | 0.999681i | \(-0.508037\pi\) |
0.477978 | + | 0.878372i | \(0.341370\pi\) | |||||||
\(824\) | 1.19613i | 0.0416690i | ||||||||
\(825\) | 11.2993 | + | 11.0750i | 0.393393 | + | 0.385582i | ||||
\(826\) | 25.9674 | − | 44.9768i | 0.903520 | − | 1.56494i | ||||
\(827\) | 20.8026 | + | 36.0311i | 0.723376 | + | 1.25292i | 0.959639 | + | 0.281235i | \(0.0907441\pi\) |
−0.236263 | + | 0.971689i | \(0.575923\pi\) | |||||||
\(828\) | 0.631391 | 0.0219424 | ||||||||
\(829\) | −3.66209 | + | 0.981254i | −0.127190 | + | 0.0340804i | −0.321852 | − | 0.946790i | \(-0.604305\pi\) |
0.194663 | + | 0.980870i | \(0.437639\pi\) | |||||||
\(830\) | 9.53781 | + | 34.8949i | 0.331062 | + | 1.21122i | ||||
\(831\) | −5.57333 | + | 1.49337i | −0.193337 | + | 0.0518044i | ||||
\(832\) | −2.26519 | + | 1.30781i | −0.0785314 | + | 0.0453401i | ||||
\(833\) | 49.4583 | − | 28.5548i | 1.71363 | − | 0.989365i | ||||
\(834\) | −15.9613 | + | 4.27683i | −0.552696 | + | 0.148094i | ||||
\(835\) | −6.66062 | + | 11.6713i | −0.230500 | + | 0.403901i | ||||
\(836\) | 11.1365 | − | 2.98401i | 0.385163 | − | 0.103204i | ||||
\(837\) | 44.6963 | 1.54493 | ||||||||
\(838\) | −7.39907 | − | 12.8156i | −0.255597 | − | 0.442706i | ||||
\(839\) | −3.38494 | + | 5.86289i | −0.116861 | + | 0.202410i | −0.918522 | − | 0.395369i | \(-0.870617\pi\) |
0.801661 | + | 0.597779i | \(0.203950\pi\) | |||||||
\(840\) | 18.9746 | − | 0.0951233i | 0.654685 | − | 0.00328206i | ||||
\(841\) | 24.3416i | 0.839367i | ||||||||
\(842\) | −11.1489 | + | 2.98734i | −0.384216 | + | 0.102950i | ||||
\(843\) | −1.41303 | −0.0486674 | ||||||||
\(844\) | 1.80967 | + | 3.13444i | 0.0622915 | + | 0.107892i | ||||
\(845\) | 13.7707 | − | 0.0690355i | 0.473728 | − | 0.00237489i | ||||
\(846\) | 0.0104985 | + | 0.00281305i | 0.000360944 | + | 9.67147e-5i | ||||
\(847\) | 36.1956 | + | 9.69859i | 1.24370 | + | 0.333248i | ||||
\(848\) | −0.698572 | + | 2.60711i | −0.0239891 | + | 0.0895284i | ||||
\(849\) | −5.58461 | − | 20.8421i | −0.191663 | − | 0.715298i | ||||
\(850\) | −0.174412 | − | 17.3949i | −0.00598229 | − | 0.596639i | ||||
\(851\) | −18.7180 | + | 47.4095i | −0.641645 | + | 1.62518i | ||||
\(852\) | −14.4304 | + | 14.4304i | −0.494378 | + | 0.494378i | ||||
\(853\) | −18.5504 | + | 32.1303i | −0.635155 | + | 1.10012i | 0.351327 | + | 0.936253i | \(0.385731\pi\) |
−0.986482 | + | 0.163868i | \(0.947603\pi\) | |||||||
\(854\) | 12.8100 | + | 22.1875i | 0.438348 | + | 0.759242i | ||||
\(855\) | −0.273410 | + | 1.04123i | −0.00935042 | + | 0.0356094i | ||||
\(856\) | 0.356896 | − | 1.33196i | 0.0121985 | − | 0.0455253i | ||||
\(857\) | −2.18852 | −0.0747584 | −0.0373792 | − | 0.999301i | \(-0.511901\pi\) | ||||
−0.0373792 | + | 0.999301i | \(0.511901\pi\) | |||||||
\(858\) | −2.14219 | + | 7.99476i | −0.0731331 | + | 0.272937i | ||||
\(859\) | −26.1772 | + | 26.1772i | −0.893156 | + | 0.893156i | −0.994819 | − | 0.101663i | \(-0.967584\pi\) |
0.101663 | + | 0.994819i | \(0.467584\pi\) | |||||||
\(860\) | −2.64031 | − | 1.50679i | −0.0900339 | − | 0.0513810i | ||||
\(861\) | 21.9820 | 0.749145 | ||||||||
\(862\) | 2.23670 | + | 2.23670i | 0.0761824 | + | 0.0761824i | ||||
\(863\) | 49.9133 | − | 13.3742i | 1.69907 | − | 0.455264i | 0.726364 | − | 0.687310i | \(-0.241209\pi\) |
0.972705 | + | 0.232046i | \(0.0745420\pi\) | |||||||
\(864\) | 4.95410 | + | 1.32745i | 0.168542 | + | 0.0451607i | ||||
\(865\) | −0.619118 | + | 0.625357i | −0.0210507 | + | 0.0212628i | ||||
\(866\) | 6.75580 | + | 25.2130i | 0.229572 | + | 0.856773i | ||||
\(867\) | −2.22199 | − | 8.29259i | −0.0754629 | − | 0.281631i | ||||
\(868\) | 36.5196 | + | 21.0846i | 1.23956 | + | 0.715658i | ||||
\(869\) | −6.63366 | + | 24.7572i | −0.225031 | + | 0.839829i | ||||
\(870\) | −24.7304 | + | 14.4439i | −0.838440 | + | 0.489694i | ||||
\(871\) | −6.67422 | − | 24.9085i | −0.226147 | − | 0.843993i | ||||
\(872\) | −2.37099 | + | 0.635304i | −0.0802917 | + | 0.0215141i | ||||
\(873\) | 0.269417 | + | 0.155548i | 0.00911839 | + | 0.00526451i | ||||
\(874\) | 37.8591 | − | 37.8591i | 1.28060 | − | 1.28060i | ||||
\(875\) | 52.4616 | + | 13.2147i | 1.77353 | + | 0.446740i | ||||
\(876\) | 6.90121 | + | 3.98442i | 0.233170 | + | 0.134621i | ||||
\(877\) | 0.123963 | − | 0.123963i | 0.00418594 | − | 0.00418594i | −0.705011 | − | 0.709197i | \(-0.749058\pi\) |
0.709197 | + | 0.705011i | \(0.249058\pi\) | |||||||
\(878\) | −18.4388 | + | 18.4388i | −0.622278 | + | 0.622278i | ||||
\(879\) | −10.5181 | + | 18.2178i | −0.354766 | + | 0.614473i | ||||
\(880\) | 0.0202271 | + | 4.03478i | 0.000681856 | + | 0.136012i | ||||
\(881\) | −18.6878 | + | 10.7894i | −0.629609 | + | 0.363505i | −0.780601 | − | 0.625030i | \(-0.785087\pi\) |
0.150992 | + | 0.988535i | \(0.451753\pi\) | |||||||
\(882\) | − | 1.23684i | − | 0.0416465i | ||||||
\(883\) | −11.2403 | − | 19.4688i | −0.378267 | − | 0.655177i | 0.612544 | − | 0.790437i | \(-0.290146\pi\) |
−0.990810 | + | 0.135260i | \(0.956813\pi\) | |||||||
\(884\) | 7.88094 | − | 4.55006i | 0.265065 | − | 0.153035i | ||||
\(885\) | −36.3422 | + | 21.2258i | −1.22163 | + | 0.713498i | ||||
\(886\) | −9.30331 | + | 2.49282i | −0.312551 | + | 0.0837478i | ||||
\(887\) | −17.4040 | − | 17.4040i | −0.584368 | − | 0.584368i | 0.351733 | − | 0.936100i | \(-0.385593\pi\) |
−0.936100 | + | 0.351733i | \(0.885593\pi\) | |||||||
\(888\) | 6.35177 | − | 8.56988i | 0.213151 | − | 0.287587i | ||||
\(889\) | − | 50.8262i | − | 1.70466i | ||||||
\(890\) | −2.29453 | − | 8.39473i | −0.0769127 | − | 0.281392i | ||||
\(891\) | 14.4085 | − | 8.31875i | 0.482703 | − | 0.278689i | ||||
\(892\) | −0.934023 | + | 3.48582i | −0.0312734 | + | 0.116714i | ||||
\(893\) | 0.798176 | − | 0.460827i | 0.0267099 | − | 0.0154210i | ||||
\(894\) | 16.3328 | − | 16.3328i | 0.546252 | − | 0.546252i | ||||
\(895\) | −4.92811 | + | 18.7678i | −0.164729 | + | 0.627338i | ||||
\(896\) | 3.42161 | + | 3.42161i | 0.114308 | + | 0.114308i | ||||
\(897\) | 9.94807 | + | 37.1267i | 0.332156 | + | 1.23962i | ||||
\(898\) | 9.95588 | + | 9.95588i | 0.332232 | + | 0.332232i | ||||
\(899\) | −63.6478 | −2.12277 | ||||||||
\(900\) | −0.328143 | − | 0.185092i | −0.0109381 | − | 0.00616972i | ||||
\(901\) | 2.43044 | − | 9.07051i | 0.0809696 | − | 0.302183i | ||||
\(902\) | 4.67428i | 0.155637i | ||||||||
\(903\) | −5.76836 | + | 9.99110i | −0.191959 | + | 0.332483i | ||||
\(904\) | 7.28479 | + | 4.20588i | 0.242289 | + | 0.139885i | ||||
\(905\) | −7.76770 | + | 13.6112i | −0.258207 | + | 0.452451i | ||||
\(906\) | 17.8258 | + | 4.77640i | 0.592222 | + | 0.158685i | ||||
\(907\) | −10.9167 | − | 18.9083i | −0.362483 | − | 0.627839i | 0.625886 | − | 0.779915i | \(-0.284738\pi\) |
−0.988369 | + | 0.152076i | \(0.951404\pi\) | |||||||
\(908\) | −6.22565 | + | 10.7831i | −0.206606 | + | 0.357851i | ||||
\(909\) | −0.329239 | + | 0.570258i | −0.0109202 | + | 0.0189143i | ||||
\(910\) | 7.46184 | + | 27.2998i | 0.247357 | + | 0.904979i | ||||
\(911\) | −14.5817 | − | 14.5817i | −0.483114 | − | 0.483114i | 0.423011 | − | 0.906125i | \(-0.360973\pi\) |
−0.906125 | + | 0.423011i | \(0.860973\pi\) | |||||||
\(912\) | −9.70379 | + | 5.60249i | −0.321325 | + | 0.185517i | ||||
\(913\) | 7.55542 | + | 28.1972i | 0.250048 | + | 0.933192i | ||||
\(914\) | 18.9612i | 0.627179i | ||||||||
\(915\) | −0.104082 | − | 20.7616i | −0.00344084 | − | 0.686356i | ||||
\(916\) | 15.5682 | + | 8.98833i | 0.514389 | + | 0.296983i | ||||
\(917\) | 57.7633i | 1.90751i | ||||||||
\(918\) | −17.2361 | − | 4.61839i | −0.568875 | − | 0.152430i | ||||
\(919\) | 34.7628 | + | 34.7628i | 1.14672 | + | 1.14672i | 0.987194 | + | 0.159524i | \(0.0509958\pi\) |
0.159524 | + | 0.987194i | \(0.449004\pi\) | |||||||
\(920\) | 9.44986 | + | 16.1798i | 0.311553 | + | 0.533431i | ||||
\(921\) | −23.7190 | − | 41.0826i | −0.781568 | − | 1.35372i | ||||
\(922\) | −3.92362 | − | 1.05133i | −0.129218 | − | 0.0346238i | ||||
\(923\) | −26.3604 | − | 15.2192i | −0.867662 | − | 0.500945i | ||||
\(924\) | 15.3120 | 0.503729 | ||||||||
\(925\) | 23.6261 | − | 19.1522i | 0.776821 | − | 0.629722i | ||||
\(926\) | 1.20113 | 0.0394717 | ||||||||
\(927\) | −0.0780521 | − | 0.0450634i | −0.00256357 | − | 0.00148008i | ||||
\(928\) | −7.05467 | − | 1.89029i | −0.231581 | − | 0.0620520i | ||||
\(929\) | −7.15756 | − | 12.3973i | −0.234832 | − | 0.406741i | 0.724392 | − | 0.689388i | \(-0.242121\pi\) |
−0.959224 | + | 0.282647i | \(0.908787\pi\) | |||||||
\(930\) | −17.2346 | − | 29.5086i | −0.565145 | − | 0.967625i | ||||
\(931\) | −74.1625 | − | 74.1625i | −2.43058 | − | 2.43058i | ||||
\(932\) | 13.3555 | + | 3.57860i | 0.437474 | + | 0.117221i | ||||
\(933\) | − | 24.2301i | − | 0.793256i | ||||||
\(934\) | −30.8853 | − | 17.8316i | −1.01060 | − | 0.583469i | ||||
\(935\) | −0.0703732 | − | 14.0376i | −0.00230145 | − | 0.459078i | ||||
\(936\) | − | 0.197084i | − | 0.00644189i | ||||||
\(937\) | 13.5728 | + | 50.6544i | 0.443404 | + | 1.65481i | 0.720115 | + | 0.693855i | \(0.244089\pi\) |
−0.276711 | + | 0.960953i | \(0.589244\pi\) | |||||||
\(938\) | −41.3148 | + | 23.8531i | −1.34898 | + | 0.778832i | ||||
\(939\) | 4.74943 | + | 4.74943i | 0.154992 | + | 0.154992i | ||||
\(940\) | 0.0850414 | + | 0.311131i | 0.00277374 | + | 0.0101480i | ||||
\(941\) | −12.1789 | + | 21.0944i | −0.397019 | + | 0.687658i | −0.993357 | − | 0.115076i | \(-0.963289\pi\) |
0.596337 | + | 0.802734i | \(0.296622\pi\) | |||||||
\(942\) | −2.70524 | + | 4.68562i | −0.0881416 | + | 0.152666i | ||||
\(943\) | 10.8534 | + | 18.7987i | 0.353436 | + | 0.612168i | ||||
\(944\) | −10.3671 | − | 2.77785i | −0.337420 | − | 0.0904113i | ||||
\(945\) | 27.5061 | − | 48.1983i | 0.894773 | − | 1.56789i | ||||
\(946\) | −2.12452 | − | 1.22659i | −0.0690741 | − | 0.0398799i | ||||
\(947\) | 27.6552 | − | 47.9003i | 0.898674 | − | 1.55655i | 0.0694834 | − | 0.997583i | \(-0.477865\pi\) |
0.829191 | − | 0.558966i | \(-0.188802\pi\) | |||||||
\(948\) | − | 24.9095i | − | 0.809021i | ||||||
\(949\) | −3.07622 | + | 11.4806i | −0.0998585 | + | 0.372677i | ||||
\(950\) | −30.7742 | + | 8.57754i | −0.998448 | + | 0.278292i | ||||
\(951\) | −13.6109 | −0.441363 | ||||||||
\(952\) | −11.9043 | − | 11.9043i | −0.385820 | − | 0.385820i | ||||
\(953\) | 1.35961 | + | 5.07414i | 0.0440422 | + | 0.164368i | 0.984444 | − | 0.175697i | \(-0.0562178\pi\) |
−0.940402 | + | 0.340064i | \(0.889551\pi\) | |||||||
\(954\) | −0.143806 | − | 0.143806i | −0.00465589 | − | 0.00465589i | ||||
\(955\) | 4.35108 | − | 16.5703i | 0.140798 | − | 0.536202i | ||||
\(956\) | −20.8947 | + | 20.8947i | −0.675783 | + | 0.675783i | ||||
\(957\) | −20.0148 | + | 11.5555i | −0.646986 | + | 0.373538i | ||||
\(958\) | 9.09174 | − | 33.9308i | 0.293741 | − | 1.09626i | ||||
\(959\) | −18.1806 | + | 10.4966i | −0.587081 | + | 0.338951i | ||||
\(960\) | −1.03389 | − | 3.78257i | −0.0333686 | − | 0.122082i | ||||
\(961\) | − | 44.9452i | − | 1.44984i | ||||||
\(962\) | 14.7985 | + | 5.84269i | 0.477124 | + | 0.188376i | ||||
\(963\) | 0.0734697 | + | 0.0734697i | 0.00236753 | + | 0.00236753i | ||||
\(964\) | −10.2874 | + | 2.75650i | −0.331335 | + | 0.0887808i | ||||
\(965\) | 19.1437 | − | 11.1810i | 0.616258 | − | 0.359928i | ||||
\(966\) | 61.5806 | − | 35.5536i | 1.98132 | − | 1.14392i | ||||
\(967\) | 25.0368 | + | 43.3650i | 0.805130 | + | 1.39453i | 0.916204 | + | 0.400713i | \(0.131238\pi\) |
−0.111074 | + | 0.993812i | \(0.535429\pi\) | |||||||
\(968\) | − | 7.74403i | − | 0.248903i | ||||||
\(969\) | 33.7609 | − | 19.4919i | 1.08456 | − | 0.626170i | ||||
\(970\) | 0.0462819 | + | 9.23203i | 0.00148602 | + | 0.296422i | ||||
\(971\) | −1.43410 | + | 2.48393i | −0.0460224 | + | 0.0797131i | −0.888119 | − | 0.459614i | \(-0.847988\pi\) |
0.842097 | + | 0.539327i | \(0.181321\pi\) | |||||||
\(972\) | −0.553570 | + | 0.553570i | −0.0177558 | + | 0.0177558i | ||||
\(973\) | −32.2410 | + | 32.2410i | −1.03360 | + | 1.03360i | ||||
\(974\) | 29.9879 | + | 17.3135i | 0.960874 | + | 0.554761i | ||||
\(975\) | 5.71351 | − | 22.2115i | 0.182979 | − | 0.711339i | ||||
\(976\) | 3.74385 | − | 3.74385i | 0.119838 | − | 0.119838i | ||||
\(977\) | 1.18843 | + | 0.686143i | 0.0380214 | + | 0.0219517i | 0.518890 | − | 0.854841i | \(-0.326345\pi\) |
−0.480869 | + | 0.876793i | \(0.659679\pi\) | |||||||
\(978\) | −15.6390 | + | 4.19046i | −0.500080 | + | 0.133996i | ||||
\(979\) | −1.81762 | − | 6.78345i | −0.0580914 | − | 0.216800i | ||||
\(980\) | 31.6947 | − | 18.5114i | 1.01245 | − | 0.591326i | ||||
\(981\) | 0.0478695 | − | 0.178651i | 0.00152835 | − | 0.00570390i | ||||
\(982\) | 33.0738 | + | 19.0952i | 1.05543 | + | 0.609352i | ||||
\(983\) | 8.17188 | + | 30.4979i | 0.260643 | + | 0.972731i | 0.964864 | + | 0.262751i | \(0.0846297\pi\) |
−0.704221 | + | 0.709981i | \(0.748704\pi\) | |||||||
\(984\) | −1.17576 | − | 4.38799i | −0.0374818 | − | 0.139884i | ||||
\(985\) | 11.7357 | − | 11.8540i | 0.373931 | − | 0.377699i | ||||
\(986\) | 24.5443 | + | 6.57661i | 0.781648 | + | 0.209442i | ||||
\(987\) | 1.18234 | − | 0.316806i | 0.0376341 | − | 0.0100840i | ||||
\(988\) | −11.8174 | − | 11.8174i | −0.375963 | − | 0.375963i | ||||
\(989\) | −11.3923 | −0.362254 | ||||||||
\(990\) | −0.264048 | − | 0.150688i | −0.00839199 | − | 0.00478919i | ||||
\(991\) | 11.5927 | − | 11.5927i | 0.368254 | − | 0.368254i | −0.498586 | − | 0.866840i | \(-0.666147\pi\) |
0.866840 | + | 0.498586i | \(0.166147\pi\) | |||||||
\(992\) | 2.25552 | − | 8.41771i | 0.0716128 | − | 0.267262i | ||||
\(993\) | −5.90008 | −0.187233 | ||||||||
\(994\) | −14.5743 | + | 54.3921i | −0.462269 | + | 1.72521i | ||||
\(995\) | −4.94930 | + | 18.8485i | −0.156903 | + | 0.597538i | ||||
\(996\) | −14.1853 | − | 24.5697i | −0.449480 | − | 0.778522i | ||||
\(997\) | 29.5231 | − | 51.1355i | 0.935006 | − | 1.61948i | 0.160382 | − | 0.987055i | \(-0.448728\pi\) |
0.774624 | − | 0.632422i | \(-0.217939\pi\) | |||||||
\(998\) | −26.0466 | + | 26.0466i | −0.824492 | + | 0.824492i | ||||
\(999\) | −12.4176 | − | 28.6199i | −0.392877 | − | 0.905492i |
(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 | 370.2.r.f.23.3 | yes | 32 | |
5.2 | odd | 4 | 370.2.q.f.97.3 | ✓ | 32 | ||
37.29 | odd | 12 | 370.2.q.f.103.3 | yes | 32 | ||
185.177 | even | 12 | inner | 370.2.r.f.177.3 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
370.2.q.f.97.3 | ✓ | 32 | 5.2 | odd | 4 | ||
370.2.q.f.103.3 | yes | 32 | 37.29 | odd | 12 | ||
370.2.r.f.23.3 | yes | 32 | 1.1 | even | 1 | trivial | |
370.2.r.f.177.3 | yes | 32 | 185.177 | even | 12 | inner |