Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [280,2,Mod(19,280)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(280, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 3, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("280.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 280 = 2^{3} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 280.ba (of order \(6\), degree \(2\), 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: | \(2.23581125660\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 59.20 | ||
Character | \(\chi\) | \(=\) | 280.59 |
Dual form | 280.2.ba.b.19.20 |
$q$-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 \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(141\) | \(241\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0226228 | − | 1.41403i | −0.0159968 | − | 0.999872i | ||||
\(3\) | −0.0769760 | + | 0.133326i | −0.0444421 | + | 0.0769760i | −0.887391 | − | 0.461018i | \(-0.847484\pi\) |
0.842949 | + | 0.537994i | \(0.180818\pi\) | |||||||
\(4\) | −1.99898 | + | 0.0639789i | −0.999488 | + | 0.0319894i | ||||
\(5\) | 0.159286 | + | 2.23039i | 0.0712348 | + | 0.997460i | ||||
\(6\) | 0.190269 | + | 0.105830i | 0.0776771 | + | 0.0432050i | ||||
\(7\) | −2.33880 | + | 1.23694i | −0.883982 | + | 0.467520i | ||||
\(8\) | 0.135691 | + | 2.82517i | 0.0479739 | + | 0.998849i | ||||
\(9\) | 1.48815 | + | 2.57755i | 0.496050 | + | 0.859183i | ||||
\(10\) | 3.15024 | − | 0.275693i | 0.996192 | − | 0.0871818i | ||||
\(11\) | −0.717757 | + | 1.24319i | −0.216412 | + | 0.374836i | −0.953708 | − | 0.300733i | \(-0.902769\pi\) |
0.737297 | + | 0.675569i | \(0.236102\pi\) | |||||||
\(12\) | 0.145343 | − | 0.271441i | 0.0419569 | − | 0.0783583i | ||||
\(13\) | 1.09056i | 0.302467i | 0.988498 | + | 0.151234i | \(0.0483245\pi\) | ||||
−0.988498 | + | 0.151234i | \(0.951675\pi\) | |||||||
\(14\) | 1.80199 | + | 3.27915i | 0.481601 | + | 0.876391i | ||||
\(15\) | −0.309630 | − | 0.150449i | −0.0799462 | − | 0.0388458i | ||||
\(16\) | 3.99181 | − | 0.255785i | 0.997953 | − | 0.0639461i | ||||
\(17\) | 1.65673 | − | 2.86954i | 0.401816 | − | 0.695965i | −0.592129 | − | 0.805843i | \(-0.701713\pi\) |
0.993945 | + | 0.109878i | \(0.0350459\pi\) | |||||||
\(18\) | 3.61107 | − | 2.16260i | 0.851138 | − | 0.509730i | ||||
\(19\) | −3.25444 | + | 1.87895i | −0.746621 | + | 0.431062i | −0.824472 | − | 0.565903i | \(-0.808528\pi\) |
0.0778508 | + | 0.996965i | \(0.475194\pi\) | |||||||
\(20\) | −0.461106 | − | 4.44830i | −0.103106 | − | 0.994670i | ||||
\(21\) | 0.0151144 | − | 0.407038i | 0.00329823 | − | 0.0888230i | ||||
\(22\) | 1.77415 | + | 0.986807i | 0.378250 | + | 0.210388i | ||||
\(23\) | 1.01985 | + | 1.76643i | 0.212654 | + | 0.368327i | 0.952544 | − | 0.304400i | \(-0.0984561\pi\) |
−0.739891 | + | 0.672727i | \(0.765123\pi\) | |||||||
\(24\) | −0.387114 | − | 0.199379i | −0.0790194 | − | 0.0406981i | ||||
\(25\) | −4.94926 | + | 0.710538i | −0.989851 | + | 0.142108i | ||||
\(26\) | 1.54209 | − | 0.0246716i | 0.302428 | − | 0.00483849i | ||||
\(27\) | −0.920063 | −0.177066 | ||||||||
\(28\) | 4.59606 | − | 2.62225i | 0.868574 | − | 0.495559i | ||||
\(29\) | 5.06845i | 0.941187i | 0.882350 | + | 0.470593i | \(0.155960\pi\) | ||||
−0.882350 | + | 0.470593i | \(0.844040\pi\) | |||||||
\(30\) | −0.205735 | + | 0.441231i | −0.0375620 | + | 0.0805574i | ||||
\(31\) | 4.92434 | − | 8.52921i | 0.884438 | − | 1.53189i | 0.0380811 | − | 0.999275i | \(-0.487875\pi\) |
0.846357 | − | 0.532617i | \(-0.178791\pi\) | |||||||
\(32\) | −0.451994 | − | 5.63877i | −0.0799020 | − | 0.996803i | ||||
\(33\) | −0.110500 | − | 0.191392i | −0.0192356 | − | 0.0333170i | ||||
\(34\) | −4.09510 | − | 2.27775i | −0.702304 | − | 0.390631i | ||||
\(35\) | −3.13140 | − | 5.01940i | −0.529303 | − | 0.848433i | ||||
\(36\) | −3.13968 | − | 5.05725i | −0.523281 | − | 0.842875i | ||||
\(37\) | 4.33672 | + | 7.51142i | 0.712953 | + | 1.23487i | 0.963744 | + | 0.266829i | \(0.0859759\pi\) |
−0.250791 | + | 0.968041i | \(0.580691\pi\) | |||||||
\(38\) | 2.73053 | + | 4.55938i | 0.442950 | + | 0.739630i | ||||
\(39\) | −0.145400 | − | 0.0839469i | −0.0232827 | − | 0.0134423i | ||||
\(40\) | −6.27961 | + | 0.752652i | −0.992894 | + | 0.119005i | ||||
\(41\) | − | 4.08787i | − | 0.638418i | −0.947684 | − | 0.319209i | \(-0.896583\pi\) | ||
0.947684 | − | 0.319209i | \(-0.103417\pi\) | |||||||
\(42\) | −0.575907 | − | 0.0121639i | −0.0888644 | − | 0.00187692i | ||||
\(43\) | 2.12207i | 0.323612i | 0.986823 | + | 0.161806i | \(0.0517319\pi\) | ||||
−0.986823 | + | 0.161806i | \(0.948268\pi\) | |||||||
\(44\) | 1.35524 | − | 2.53103i | 0.204310 | − | 0.381567i | ||||
\(45\) | −5.51189 | + | 3.72972i | −0.821665 | + | 0.555993i | ||||
\(46\) | 2.47472 | − | 1.48206i | 0.364878 | − | 0.218518i | ||||
\(47\) | −6.16503 | + | 3.55938i | −0.899262 | + | 0.519189i | −0.876961 | − | 0.480562i | \(-0.840433\pi\) |
−0.0223012 | + | 0.999751i | \(0.507099\pi\) | |||||||
\(48\) | −0.273171 | + | 0.551903i | −0.0394288 | + | 0.0796603i | ||||
\(49\) | 3.93995 | − | 5.78591i | 0.562850 | − | 0.826559i | ||||
\(50\) | 1.11669 | + | 6.98234i | 0.157924 | + | 0.987451i | ||||
\(51\) | 0.255057 | + | 0.441771i | 0.0357151 | + | 0.0618603i | ||||
\(52\) | −0.0697728 | − | 2.18000i | −0.00967575 | − | 0.302312i | ||||
\(53\) | 2.25393 | − | 3.90392i | 0.309601 | − | 0.536245i | −0.668674 | − | 0.743556i | \(-0.733138\pi\) |
0.978275 | + | 0.207311i | \(0.0664711\pi\) | |||||||
\(54\) | 0.0208144 | + | 1.30100i | 0.00283249 | + | 0.177044i | ||||
\(55\) | −2.88713 | − | 1.40285i | −0.389300 | − | 0.189161i | ||||
\(56\) | −3.81192 | − | 6.43966i | −0.509390 | − | 0.860536i | ||||
\(57\) | − | 0.578537i | − | 0.0766292i | ||||||
\(58\) | 7.16695 | − | 0.114663i | 0.941067 | − | 0.0150559i | ||||
\(59\) | −6.68603 | − | 3.86018i | −0.870447 | − | 0.502553i | −0.00295028 | − | 0.999996i | \(-0.500939\pi\) |
−0.867497 | + | 0.497443i | \(0.834272\pi\) | |||||||
\(60\) | 0.628570 | + | 0.280935i | 0.0811480 | + | 0.0362685i | ||||
\(61\) | 3.87063 | + | 6.70413i | 0.495584 | + | 0.858376i | 0.999987 | − | 0.00509195i | \(-0.00162083\pi\) |
−0.504403 | + | 0.863468i | \(0.668287\pi\) | |||||||
\(62\) | −12.1720 | − | 6.77022i | −1.54584 | − | 0.859819i | ||||
\(63\) | −6.66876 | − | 4.18762i | −0.840185 | − | 0.527590i | ||||
\(64\) | −7.96318 | + | 0.766699i | −0.995397 | + | 0.0958374i | ||||
\(65\) | −2.43237 | + | 0.173711i | −0.301699 | + | 0.0215462i | ||||
\(66\) | −0.268134 | + | 0.160581i | −0.0330051 | + | 0.0197661i | ||||
\(67\) | 11.0249 | + | 6.36523i | 1.34691 | + | 0.777637i | 0.987810 | − | 0.155663i | \(-0.0497514\pi\) |
0.359097 | + | 0.933300i | \(0.383085\pi\) | |||||||
\(68\) | −3.12817 | + | 5.84213i | −0.379346 | + | 0.708463i | ||||
\(69\) | −0.314016 | −0.0378031 | ||||||||
\(70\) | −7.02675 | + | 4.54145i | −0.839857 | + | 0.542807i | ||||
\(71\) | − | 5.09964i | − | 0.605216i | −0.953115 | − | 0.302608i | \(-0.902143\pi\) | ||
0.953115 | − | 0.302608i | \(-0.0978573\pi\) | |||||||
\(72\) | −7.08009 | + | 4.55403i | −0.834397 | + | 0.536697i | ||||
\(73\) | −4.82381 | + | 8.35508i | −0.564584 | + | 0.977888i | 0.432504 | + | 0.901632i | \(0.357630\pi\) |
−0.997088 | + | 0.0762563i | \(0.975703\pi\) | |||||||
\(74\) | 10.5233 | − | 6.30219i | 1.22331 | − | 0.732615i | ||||
\(75\) | 0.286240 | − | 0.714560i | 0.0330522 | − | 0.0825103i | ||||
\(76\) | 6.38535 | − | 3.96420i | 0.732449 | − | 0.454725i | ||||
\(77\) | 0.140933 | − | 3.79540i | 0.0160608 | − | 0.432526i | ||||
\(78\) | −0.115414 | + | 0.207500i | −0.0130681 | + | 0.0234947i | ||||
\(79\) | 2.80167 | − | 1.61754i | 0.315212 | − | 0.181988i | −0.334044 | − | 0.942557i | \(-0.608414\pi\) |
0.649257 | + | 0.760570i | \(0.275080\pi\) | |||||||
\(80\) | 1.20634 | + | 8.86255i | 0.134873 | + | 0.990863i | ||||
\(81\) | −4.39363 | + | 7.60998i | −0.488181 | + | 0.845554i | ||||
\(82\) | −5.78038 | + | 0.0924793i | −0.638337 | + | 0.0102126i | ||||
\(83\) | −8.80158 | −0.966099 | −0.483049 | − | 0.875593i | \(-0.660471\pi\) | ||||
−0.483049 | + | 0.875593i | \(0.660471\pi\) | |||||||
\(84\) | −0.00417144 | + | 0.814626i | −0.000455142 | + | 0.0888830i | ||||
\(85\) | 6.66407 | + | 3.23807i | 0.722820 | + | 0.351218i | ||||
\(86\) | 3.00067 | − | 0.0480072i | 0.323571 | − | 0.00517675i | ||||
\(87\) | −0.675757 | − | 0.390149i | −0.0724488 | − | 0.0418283i | ||||
\(88\) | −3.60962 | − | 1.85910i | −0.384787 | − | 0.198180i | ||||
\(89\) | 9.61481 | − | 5.55111i | 1.01917 | − | 0.588417i | 0.105305 | − | 0.994440i | \(-0.466418\pi\) |
0.913863 | + | 0.406023i | \(0.133085\pi\) | |||||||
\(90\) | 5.39864 | + | 7.70962i | 0.569066 | + | 0.812666i | ||||
\(91\) | −1.34896 | − | 2.55060i | −0.141409 | − | 0.267376i | ||||
\(92\) | −2.15167 | − | 3.46581i | −0.224327 | − | 0.361336i | ||||
\(93\) | 0.758112 | + | 1.31309i | 0.0786125 | + | 0.136161i | ||||
\(94\) | 5.17255 | + | 8.63703i | 0.533508 | + | 0.890841i | ||||
\(95\) | −4.70918 | − | 6.95938i | −0.483152 | − | 0.714018i | ||||
\(96\) | 0.786589 | + | 0.373787i | 0.0802809 | + | 0.0381495i | ||||
\(97\) | 10.0234 | 1.01773 | 0.508863 | − | 0.860847i | \(-0.330066\pi\) | ||||
0.508863 | + | 0.860847i | \(0.330066\pi\) | |||||||
\(98\) | −8.27060 | − | 5.44032i | −0.835457 | − | 0.549556i | ||||
\(99\) | −4.27252 | −0.429404 | ||||||||
\(100\) | 9.84799 | − | 1.73700i | 0.984799 | − | 0.173700i | ||||
\(101\) | 4.60867 | − | 7.98245i | 0.458580 | − | 0.794283i | −0.540307 | − | 0.841468i | \(-0.681692\pi\) |
0.998886 | + | 0.0471851i | \(0.0150251\pi\) | |||||||
\(102\) | 0.618908 | − | 0.370652i | 0.0612811 | − | 0.0367001i | ||||
\(103\) | 6.51434 | − | 3.76106i | 0.641877 | − | 0.370588i | −0.143460 | − | 0.989656i | \(-0.545823\pi\) |
0.785337 | + | 0.619068i | \(0.212490\pi\) | |||||||
\(104\) | −3.08102 | + | 0.147979i | −0.302119 | + | 0.0145105i | ||||
\(105\) | 0.910260 | − | 0.0311244i | 0.0888323 | − | 0.00303743i | ||||
\(106\) | −5.57127 | − | 3.09882i | −0.541129 | − | 0.300984i | ||||
\(107\) | 6.70945 | − | 3.87370i | 0.648627 | − | 0.374485i | −0.139303 | − | 0.990250i | \(-0.544486\pi\) |
0.787930 | + | 0.615765i | \(0.211153\pi\) | |||||||
\(108\) | 1.83918 | − | 0.0588646i | 0.176976 | − | 0.00566425i | ||||
\(109\) | −13.5605 | − | 7.82914i | −1.29886 | − | 0.749895i | −0.318650 | − | 0.947872i | \(-0.603230\pi\) |
−0.980207 | + | 0.197977i | \(0.936563\pi\) | |||||||
\(110\) | −1.91837 | + | 4.11423i | −0.182909 | + | 0.392276i | ||||
\(111\) | −1.33529 | −0.126740 | ||||||||
\(112\) | −9.01965 | + | 5.53587i | −0.852277 | + | 0.523090i | ||||
\(113\) | − | 14.7872i | − | 1.39106i | −0.718496 | − | 0.695532i | \(-0.755169\pi\) | ||
0.718496 | − | 0.695532i | \(-0.244831\pi\) | |||||||
\(114\) | −0.818071 | + | 0.0130882i | −0.0766193 | + | 0.00122582i | ||||
\(115\) | −3.77738 | + | 2.55603i | −0.352243 | + | 0.238351i | ||||
\(116\) | −0.324274 | − | 10.1317i | −0.0301080 | − | 0.940705i | ||||
\(117\) | −2.81097 | + | 1.62292i | −0.259875 | + | 0.150039i | ||||
\(118\) | −5.30717 | + | 9.54159i | −0.488564 | + | 0.878375i | ||||
\(119\) | −0.325302 | + | 8.76055i | −0.0298204 | + | 0.803078i | ||||
\(120\) | 0.383031 | − | 0.895173i | 0.0349658 | − | 0.0817178i | ||||
\(121\) | 4.46965 | + | 7.74166i | 0.406332 | + | 0.703787i | ||||
\(122\) | 9.39230 | − | 5.62487i | 0.850339 | − | 0.509252i | ||||
\(123\) | 0.545021 | + | 0.314668i | 0.0491429 | + | 0.0283727i | ||||
\(124\) | −9.29795 | + | 17.3647i | −0.834981 | + | 1.55940i | ||||
\(125\) | −2.37312 | − | 10.9256i | −0.212258 | − | 0.977214i | ||||
\(126\) | −5.77056 | + | 9.52458i | −0.514082 | + | 0.848517i | ||||
\(127\) | 19.1112 | 1.69584 | 0.847922 | − | 0.530121i | \(-0.177853\pi\) | ||||
0.847922 | + | 0.530121i | \(0.177853\pi\) | |||||||
\(128\) | 1.26429 | + | 11.2428i | 0.111748 | + | 0.993737i | ||||
\(129\) | −0.282927 | − | 0.163348i | −0.0249104 | − | 0.0143820i | ||||
\(130\) | 0.300660 | + | 3.43552i | 0.0263696 | + | 0.301315i | ||||
\(131\) | 10.3083 | − | 5.95151i | 0.900641 | − | 0.519986i | 0.0232331 | − | 0.999730i | \(-0.492604\pi\) |
0.877408 | + | 0.479745i | \(0.159271\pi\) | |||||||
\(132\) | 0.233132 | + | 0.375518i | 0.0202915 | + | 0.0326846i | ||||
\(133\) | 5.28733 | − | 8.42005i | 0.458470 | − | 0.730111i | ||||
\(134\) | 8.75123 | − | 15.7336i | 0.755991 | − | 1.35917i | ||||
\(135\) | −0.146553 | − | 2.05210i | −0.0126133 | − | 0.176616i | ||||
\(136\) | 8.33174 | + | 4.29117i | 0.714441 | + | 0.367965i | ||||
\(137\) | 12.6230 | + | 7.28787i | 1.07845 | + | 0.622644i | 0.930478 | − | 0.366347i | \(-0.119392\pi\) |
0.147973 | + | 0.988991i | \(0.452725\pi\) | |||||||
\(138\) | 0.00710394 | + | 0.444029i | 0.000604727 | + | 0.0377983i | ||||
\(139\) | 14.5711i | 1.23590i | 0.786216 | + | 0.617952i | \(0.212037\pi\) | ||||
−0.786216 | + | 0.617952i | \(0.787963\pi\) | |||||||
\(140\) | 6.58072 | + | 9.83331i | 0.556173 | + | 0.831067i | ||||
\(141\) | − | 1.09595i | − | 0.0922954i | ||||||
\(142\) | −7.21106 | + | 0.115368i | −0.605139 | + | 0.00968150i | ||||
\(143\) | −1.35578 | − | 0.782757i | −0.113376 | − | 0.0654574i | ||||
\(144\) | 6.59971 | + | 9.90845i | 0.549976 | + | 0.825705i | ||||
\(145\) | −11.3046 | + | 0.807331i | −0.938796 | + | 0.0670452i | ||||
\(146\) | 11.9235 | + | 6.63201i | 0.986795 | + | 0.548869i | ||||
\(147\) | 0.468133 | + | 0.970675i | 0.0386109 | + | 0.0800599i | ||||
\(148\) | −9.14958 | − | 14.7377i | −0.752090 | − | 1.21143i | ||||
\(149\) | 5.88956 | − | 3.40034i | 0.482492 | − | 0.278567i | −0.238962 | − | 0.971029i | \(-0.576807\pi\) |
0.721454 | + | 0.692462i | \(0.243474\pi\) | |||||||
\(150\) | −1.01689 | − | 0.388588i | −0.0830285 | − | 0.0317281i | ||||
\(151\) | −1.08611 | − | 0.627067i | −0.0883865 | − | 0.0510300i | 0.455155 | − | 0.890412i | \(-0.349584\pi\) |
−0.543542 | + | 0.839382i | \(0.682917\pi\) | |||||||
\(152\) | −5.74997 | − | 8.93940i | −0.466384 | − | 0.725081i | ||||
\(153\) | 9.86184 | 0.797282 | ||||||||
\(154\) | −5.37000 | − | 0.113421i | −0.432727 | − | 0.00913973i | ||||
\(155\) | 19.8078 | + | 9.62461i | 1.59100 | + | 0.773067i | ||||
\(156\) | 0.296023 | + | 0.158505i | 0.0237008 | + | 0.0126906i | ||||
\(157\) | 4.46938 | + | 2.58040i | 0.356696 | + | 0.205938i | 0.667630 | − | 0.744493i | \(-0.267309\pi\) |
−0.310935 | + | 0.950431i | \(0.600642\pi\) | |||||||
\(158\) | −2.35064 | − | 3.92506i | −0.187007 | − | 0.312261i | ||||
\(159\) | 0.346997 | + | 0.601017i | 0.0275187 | + | 0.0476637i | ||||
\(160\) | 12.5046 | − | 1.90630i | 0.988579 | − | 0.150706i | ||||
\(161\) | −4.57020 | − | 2.86984i | −0.360182 | − | 0.226175i | ||||
\(162\) | 10.8602 | + | 6.04057i | 0.853255 | + | 0.474592i | ||||
\(163\) | 8.10394 | − | 4.67881i | 0.634750 | − | 0.366473i | −0.147840 | − | 0.989011i | \(-0.547232\pi\) |
0.782589 | + | 0.622538i | \(0.213899\pi\) | |||||||
\(164\) | 0.261537 | + | 8.17156i | 0.0204226 | + | 0.638092i | ||||
\(165\) | 0.409277 | − | 0.276944i | 0.0318621 | − | 0.0215601i | ||||
\(166\) | 0.199117 | + | 12.4457i | 0.0154545 | + | 0.965975i | ||||
\(167\) | 4.66932i | 0.361323i | 0.983545 | + | 0.180661i | \(0.0578238\pi\) | ||||
−0.983545 | + | 0.180661i | \(0.942176\pi\) | |||||||
\(168\) | 1.15200 | − | 0.0125306i | 0.0888789 | − | 0.000966758i | ||||
\(169\) | 11.8107 | 0.908514 | ||||||||
\(170\) | 4.42798 | − | 9.49647i | 0.339610 | − | 0.728346i | ||||
\(171\) | −9.68620 | − | 5.59233i | −0.740722 | − | 0.427656i | ||||
\(172\) | −0.135768 | − | 4.24196i | −0.0103522 | − | 0.323447i | ||||
\(173\) | −9.51191 | + | 5.49171i | −0.723177 | + | 0.417527i | −0.815921 | − | 0.578163i | \(-0.803770\pi\) |
0.0927436 | + | 0.995690i | \(0.470436\pi\) | |||||||
\(174\) | −0.536395 | + | 0.964369i | −0.0406640 | + | 0.0731086i | ||||
\(175\) | 10.6964 | − | 7.78375i | 0.808573 | − | 0.588396i | ||||
\(176\) | −2.54716 | + | 5.14618i | −0.192000 | + | 0.387908i | ||||
\(177\) | 1.02933 | − | 0.594282i | 0.0773690 | − | 0.0446690i | ||||
\(178\) | −8.06697 | − | 13.4701i | −0.604645 | − | 1.00962i | ||||
\(179\) | −7.19784 | + | 12.4670i | −0.537992 | + | 0.931829i | 0.461020 | + | 0.887390i | \(0.347484\pi\) |
−0.999012 | + | 0.0444396i | \(0.985850\pi\) | |||||||
\(180\) | 10.7795 | − | 7.80826i | 0.803458 | − | 0.581993i | ||||
\(181\) | −4.37036 | −0.324846 | −0.162423 | − | 0.986721i | \(-0.551931\pi\) | ||||
−0.162423 | + | 0.986721i | \(0.551931\pi\) | |||||||
\(182\) | −3.57611 | + | 1.96517i | −0.265079 | + | 0.145668i | ||||
\(183\) | −1.19178 | −0.0880991 | ||||||||
\(184\) | −4.85209 | + | 3.12094i | −0.357701 | + | 0.230079i | ||||
\(185\) | −16.0626 | + | 10.8690i | −1.18095 | + | 0.799107i | ||||
\(186\) | 1.83960 | − | 1.10170i | 0.134886 | − | 0.0807806i | ||||
\(187\) | 2.37826 | + | 4.11926i | 0.173915 | + | 0.301230i | ||||
\(188\) | 12.0960 | − | 7.50955i | 0.882193 | − | 0.547690i | ||||
\(189\) | 2.15184 | − | 1.13806i | 0.156523 | − | 0.0827820i | ||||
\(190\) | −9.73426 | + | 6.81638i | −0.706197 | + | 0.494512i | ||||
\(191\) | −15.5718 | + | 8.99035i | −1.12673 | + | 0.650519i | −0.943111 | − | 0.332478i | \(-0.892115\pi\) |
−0.183621 | + | 0.982997i | \(0.558782\pi\) | |||||||
\(192\) | 0.510752 | − | 1.12072i | 0.0368604 | − | 0.0808809i | ||||
\(193\) | −8.69658 | − | 5.02098i | −0.625994 | − | 0.361418i | 0.153205 | − | 0.988194i | \(-0.451040\pi\) |
−0.779199 | + | 0.626777i | \(0.784374\pi\) | |||||||
\(194\) | −0.226759 | − | 14.1735i | −0.0162803 | − | 1.01760i | ||||
\(195\) | 0.164074 | − | 0.337671i | 0.0117496 | − | 0.0241811i | ||||
\(196\) | −7.50569 | + | 11.8180i | −0.536121 | + | 0.844141i | ||||
\(197\) | −18.3358 | −1.30637 | −0.653185 | − | 0.757199i | \(-0.726567\pi\) | ||||
−0.653185 | + | 0.757199i | \(0.726567\pi\) | |||||||
\(198\) | 0.0966565 | + | 6.04148i | 0.00686908 | + | 0.429349i | ||||
\(199\) | −2.54449 | + | 4.40718i | −0.180374 | + | 0.312417i | −0.942008 | − | 0.335591i | \(-0.891064\pi\) |
0.761634 | + | 0.648008i | \(0.224397\pi\) | |||||||
\(200\) | −2.67896 | − | 13.8861i | −0.189431 | − | 0.981894i | ||||
\(201\) | −1.69731 | + | 0.979940i | −0.119719 | + | 0.0691197i | ||||
\(202\) | −11.3917 | − | 6.33622i | −0.801517 | − | 0.445815i | ||||
\(203\) | −6.26937 | − | 11.8541i | −0.440024 | − | 0.831993i | ||||
\(204\) | −0.538116 | − | 0.866771i | −0.0376757 | − | 0.0606861i | ||||
\(205\) | 9.11754 | − | 0.651140i | 0.636797 | − | 0.0454776i | ||||
\(206\) | −5.46563 | − | 9.12641i | −0.380809 | − | 0.635867i | ||||
\(207\) | −3.03538 | + | 5.25744i | −0.210974 | + | 0.365417i | ||||
\(208\) | 0.278948 | + | 4.35331i | 0.0193416 | + | 0.301848i | ||||
\(209\) | − | 5.39453i | − | 0.373147i | ||||||
\(210\) | −0.0646037 | − | 1.28643i | −0.00445808 | − | 0.0887723i | ||||
\(211\) | 26.0225 | 1.79146 | 0.895730 | − | 0.444599i | \(-0.146654\pi\) | ||||
0.895730 | + | 0.444599i | \(0.146654\pi\) | |||||||
\(212\) | −4.25579 | + | 7.94806i | −0.292289 | + | 0.545875i | ||||
\(213\) | 0.679916 | + | 0.392550i | 0.0465871 | + | 0.0268971i | ||||
\(214\) | −5.62933 | − | 9.39974i | −0.384813 | − | 0.642553i | ||||
\(215\) | −4.73303 | + | 0.338015i | −0.322790 | + | 0.0230524i | ||||
\(216\) | −0.124844 | − | 2.59933i | −0.00849456 | − | 0.176862i | ||||
\(217\) | −0.966904 | + | 26.0392i | −0.0656377 | + | 1.76766i | ||||
\(218\) | −10.7639 | + | 19.3521i | −0.729022 | + | 1.31069i | ||||
\(219\) | −0.742635 | − | 1.28628i | −0.0501826 | − | 0.0869188i | ||||
\(220\) | 5.86105 | + | 2.61956i | 0.395152 | + | 0.176610i | ||||
\(221\) | 3.12940 | + | 1.80676i | 0.210506 | + | 0.121536i | ||||
\(222\) | 0.0302081 | + | 1.88815i | 0.00202744 | + | 0.126724i | ||||
\(223\) | 7.60644i | 0.509365i | 0.967025 | + | 0.254683i | \(0.0819710\pi\) | ||||
−0.967025 | + | 0.254683i | \(0.918029\pi\) | |||||||
\(224\) | 8.03195 | + | 12.6288i | 0.536657 | + | 0.843800i | ||||
\(225\) | −9.19668 | − | 11.6996i | −0.613112 | − | 0.779971i | ||||
\(226\) | −20.9096 | + | 0.334529i | −1.39089 | + | 0.0222525i | ||||
\(227\) | 10.6186 | − | 18.3920i | 0.704781 | − | 1.22072i | −0.261989 | − | 0.965071i | \(-0.584378\pi\) |
0.966770 | − | 0.255646i | \(-0.0822883\pi\) | |||||||
\(228\) | 0.0370142 | + | 1.15648i | 0.00245132 | + | 0.0765899i | ||||
\(229\) | −11.1449 | − | 19.3035i | −0.736476 | − | 1.27561i | −0.954073 | − | 0.299575i | \(-0.903155\pi\) |
0.217597 | − | 0.976039i | \(-0.430178\pi\) | |||||||
\(230\) | 3.69977 | + | 5.28352i | 0.243955 | + | 0.348385i | ||||
\(231\) | 0.495178 | + | 0.310944i | 0.0325803 | + | 0.0204586i | ||||
\(232\) | −14.3192 | + | 0.687741i | −0.940103 | + | 0.0451524i | ||||
\(233\) | −17.5570 | + | 10.1365i | −1.15020 | + | 0.664067i | −0.948935 | − | 0.315470i | \(-0.897838\pi\) |
−0.201263 | + | 0.979537i | \(0.564504\pi\) | |||||||
\(234\) | 2.35845 | + | 3.93809i | 0.154177 | + | 0.257441i | ||||
\(235\) | −8.92080 | − | 13.1834i | −0.581929 | − | 0.859993i | ||||
\(236\) | 13.6122 | + | 7.28865i | 0.886078 | + | 0.474451i | ||||
\(237\) | 0.498048i | 0.0323517i | ||||||||
\(238\) | 12.3951 | + | 0.261799i | 0.803452 | + | 0.0169699i | ||||
\(239\) | 28.0879i | 1.81686i | 0.418040 | + | 0.908429i | \(0.362717\pi\) | ||||
−0.418040 | + | 0.908429i | \(0.637283\pi\) | |||||||
\(240\) | −1.27447 | − | 0.521367i | −0.0822667 | − | 0.0336541i | ||||
\(241\) | −18.8634 | − | 10.8908i | −1.21510 | − | 0.701537i | −0.251233 | − | 0.967927i | \(-0.580836\pi\) |
−0.963865 | + | 0.266389i | \(0.914169\pi\) | |||||||
\(242\) | 10.8458 | − | 6.49537i | 0.697197 | − | 0.417538i | ||||
\(243\) | −2.05650 | − | 3.56196i | −0.131925 | − | 0.228500i | ||||
\(244\) | −8.16623 | − | 13.1538i | −0.522789 | − | 0.842083i | ||||
\(245\) | 13.5324 | + | 7.86600i | 0.864554 | + | 0.502540i | ||||
\(246\) | 0.432621 | − | 0.777796i | 0.0275829 | − | 0.0495905i | ||||
\(247\) | −2.04911 | − | 3.54917i | −0.130382 | − | 0.225828i | ||||
\(248\) | 24.7647 | + | 12.7548i | 1.57256 | + | 0.809929i | ||||
\(249\) | 0.677510 | − | 1.17348i | 0.0429354 | − | 0.0743664i | ||||
\(250\) | −15.3954 | + | 3.60284i | −0.973693 | + | 0.227863i | ||||
\(251\) | 4.96754i | 0.313548i | 0.987634 | + | 0.156774i | \(0.0501094\pi\) | ||||
−0.987634 | + | 0.156774i | \(0.949891\pi\) | |||||||
\(252\) | 13.5986 | + | 7.94428i | 0.856632 | + | 0.500443i | ||||
\(253\) | −2.92802 | −0.184083 | ||||||||
\(254\) | −0.432350 | − | 27.0238i | −0.0271280 | − | 1.69563i | ||||
\(255\) | −0.944693 | + | 0.639243i | −0.0591590 | + | 0.0400309i | ||||
\(256\) | 15.8691 | − | 2.04209i | 0.991822 | − | 0.127631i | ||||
\(257\) | −10.2172 | − | 17.6967i | −0.637332 | − | 1.10389i | −0.986016 | − | 0.166651i | \(-0.946705\pi\) |
0.348684 | − | 0.937240i | \(-0.386629\pi\) | |||||||
\(258\) | −0.224579 | + | 0.403764i | −0.0139817 | + | 0.0251372i | ||||
\(259\) | −19.4339 | − | 12.2034i | −1.20756 | − | 0.758284i | ||||
\(260\) | 4.85114 | − | 0.502864i | 0.300855 | − | 0.0311863i | ||||
\(261\) | −13.0642 | + | 7.54261i | −0.808652 | + | 0.466876i | ||||
\(262\) | −8.64883 | − | 14.4416i | −0.534326 | − | 0.892208i | ||||
\(263\) | 2.91050 | − | 5.04113i | 0.179469 | − | 0.310850i | −0.762230 | − | 0.647307i | \(-0.775895\pi\) |
0.941699 | + | 0.336457i | \(0.109229\pi\) | |||||||
\(264\) | 0.525720 | − | 0.338152i | 0.0323559 | − | 0.0208118i | ||||
\(265\) | 9.06628 | + | 4.40530i | 0.556937 | + | 0.270616i | ||||
\(266\) | −12.0258 | − | 7.28597i | −0.737352 | − | 0.446732i | ||||
\(267\) | 1.70921i | 0.104602i | ||||||||
\(268\) | −22.4458 | − | 12.0186i | −1.37109 | − | 0.734152i | ||||
\(269\) | 13.3070 | − | 23.0485i | 0.811345 | − | 1.40529i | −0.100578 | − | 0.994929i | \(-0.532069\pi\) |
0.911923 | − | 0.410361i | \(-0.134597\pi\) | |||||||
\(270\) | −2.89842 | + | 0.253655i | −0.176392 | + | 0.0154369i | ||||
\(271\) | 9.50169 | + | 16.4574i | 0.577186 | + | 0.999716i | 0.995800 | + | 0.0915517i | \(0.0291827\pi\) |
−0.418614 | + | 0.908164i | \(0.637484\pi\) | |||||||
\(272\) | 5.87937 | − | 11.8784i | 0.356489 | − | 0.720235i | ||||
\(273\) | 0.443900 | + | 0.0164831i | 0.0268660 | + | 0.000997605i | ||||
\(274\) | 10.0197 | − | 18.0141i | 0.605313 | − | 1.08827i | ||||
\(275\) | 2.66903 | − | 6.66287i | 0.160948 | − | 0.401786i | ||||
\(276\) | 0.627711 | − | 0.0200904i | 0.0377837 | − | 0.00120930i | ||||
\(277\) | −8.17889 | + | 14.1662i | −0.491422 | + | 0.851167i | −0.999951 | − | 0.00987713i | \(-0.996856\pi\) |
0.508529 | + | 0.861045i | \(0.330189\pi\) | |||||||
\(278\) | 20.6040 | − | 0.329639i | 1.23575 | − | 0.0197705i | ||||
\(279\) | 29.3126 | 1.75490 | ||||||||
\(280\) | 13.7558 | − | 9.52781i | 0.822063 | − | 0.569396i | ||||
\(281\) | −9.13648 | −0.545037 | −0.272518 | − | 0.962151i | \(-0.587857\pi\) | ||||
−0.272518 | + | 0.962151i | \(0.587857\pi\) | |||||||
\(282\) | −1.54971 | + | 0.0247934i | −0.0922836 | + | 0.00147643i | ||||
\(283\) | −7.92262 | + | 13.7224i | −0.470951 | + | 0.815710i | −0.999448 | − | 0.0332246i | \(-0.989422\pi\) |
0.528497 | + | 0.848935i | \(0.322756\pi\) | |||||||
\(284\) | 0.326269 | + | 10.1941i | 0.0193605 | + | 0.604906i | ||||
\(285\) | 1.29036 | − | 0.0921528i | 0.0764345 | − | 0.00545866i | ||||
\(286\) | −1.07617 | + | 1.93482i | −0.0636354 | + | 0.114408i | ||||
\(287\) | 5.05646 | + | 9.56071i | 0.298473 | + | 0.564351i | ||||
\(288\) | 13.8616 | − | 9.55637i | 0.816801 | − | 0.563114i | ||||
\(289\) | 3.01050 | + | 5.21434i | 0.177088 | + | 0.306726i | ||||
\(290\) | 1.39734 | + | 15.9668i | 0.0820543 | + | 0.937603i | ||||
\(291\) | −0.771564 | + | 1.33639i | −0.0452299 | + | 0.0783405i | ||||
\(292\) | 9.10813 | − | 17.0102i | 0.533013 | − | 0.995448i | ||||
\(293\) | − | 7.81463i | − | 0.456536i | −0.973598 | − | 0.228268i | \(-0.926694\pi\) | ||
0.973598 | − | 0.228268i | \(-0.0733062\pi\) | |||||||
\(294\) | 1.36198 | − | 0.683915i | 0.0794320 | − | 0.0398867i | ||||
\(295\) | 7.54471 | − | 15.5273i | 0.439270 | − | 0.904035i | ||||
\(296\) | −20.6326 | + | 13.2712i | −1.19925 | + | 0.771373i | ||||
\(297\) | 0.660381 | − | 1.14381i | 0.0383192 | − | 0.0663708i | ||||
\(298\) | −4.94143 | − | 8.25111i | −0.286250 | − | 0.477974i | ||||
\(299\) | −1.92640 | + | 1.11221i | −0.111407 | + | 0.0643207i | ||||
\(300\) | −0.526471 | + | 1.44670i | −0.0303958 | + | 0.0835254i | ||||
\(301\) | −2.62487 | − | 4.96309i | −0.151295 | − | 0.286068i | ||||
\(302\) | −0.862122 | + | 1.54998i | −0.0496095 | + | 0.0891915i | ||||
\(303\) | 0.709513 | + | 1.22891i | 0.0407605 | + | 0.0705992i | ||||
\(304\) | −12.5105 | + | 8.33287i | −0.717528 | + | 0.477923i | ||||
\(305\) | −14.3363 | + | 9.70088i | −0.820893 | + | 0.555471i | ||||
\(306\) | −0.223103 | − | 13.9450i | −0.0127539 | − | 0.797180i | ||||
\(307\) | −32.1983 | −1.83765 | −0.918827 | − | 0.394660i | \(-0.870862\pi\) | ||||
−0.918827 | + | 0.394660i | \(0.870862\pi\) | |||||||
\(308\) | −0.0388963 | + | 7.59593i | −0.00221632 | + | 0.432818i | ||||
\(309\) | 1.15804i | 0.0658788i | ||||||||
\(310\) | 13.1614 | − | 28.2266i | 0.747517 | − | 1.60317i | ||||
\(311\) | −7.85791 | + | 13.6103i | −0.445581 | + | 0.771769i | −0.998092 | − | 0.0617363i | \(-0.980336\pi\) |
0.552511 | + | 0.833505i | \(0.313670\pi\) | |||||||
\(312\) | 0.217435 | − | 0.422172i | 0.0123098 | − | 0.0239008i | ||||
\(313\) | 9.05719 | + | 15.6875i | 0.511942 | + | 0.886710i | 0.999904 | + | 0.0138452i | \(0.00440721\pi\) |
−0.487962 | + | 0.872865i | \(0.662259\pi\) | |||||||
\(314\) | 3.54766 | − | 6.37823i | 0.200206 | − | 0.359944i | ||||
\(315\) | 8.27777 | − | 15.5409i | 0.466399 | − | 0.875633i | ||||
\(316\) | −5.49698 | + | 3.41268i | −0.309229 | + | 0.191978i | ||||
\(317\) | 0.164486 | + | 0.284898i | 0.00923844 | + | 0.0160015i | 0.870608 | − | 0.491978i | \(-0.163726\pi\) |
−0.861369 | + | 0.507979i | \(0.830393\pi\) | |||||||
\(318\) | 0.842007 | − | 0.504262i | 0.0472174 | − | 0.0282776i | ||||
\(319\) | −6.30105 | − | 3.63791i | −0.352791 | − | 0.203684i | ||||
\(320\) | −2.97846 | − | 17.6388i | −0.166501 | − | 0.986041i | ||||
\(321\) | 1.19273i | 0.0665715i | ||||||||
\(322\) | −3.95465 | + | 6.52734i | −0.220384 | + | 0.363754i | ||||
\(323\) | 12.4517i | 0.692829i | ||||||||
\(324\) | 8.29588 | − | 15.4933i | 0.460882 | − | 0.860737i | ||||
\(325\) | −0.774884 | − | 5.39746i | −0.0429829 | − | 0.299397i | ||||
\(326\) | −6.79933 | − | 11.3534i | −0.376580 | − | 0.628806i | ||||
\(327\) | 2.08766 | − | 1.20531i | 0.115448 | − | 0.0666538i | ||||
\(328\) | 11.5489 | − | 0.554686i | 0.637683 | − | 0.0306274i | ||||
\(329\) | 10.0160 | − | 15.9505i | 0.552200 | − | 0.879377i | ||||
\(330\) | −0.400867 | − | 0.572465i | −0.0220670 | − | 0.0315132i | ||||
\(331\) | 0.366488 | + | 0.634777i | 0.0201440 | + | 0.0348905i | 0.875922 | − | 0.482453i | \(-0.160254\pi\) |
−0.855778 | + | 0.517344i | \(0.826921\pi\) | |||||||
\(332\) | 17.5941 | − | 0.563115i | 0.965604 | − | 0.0309049i | ||||
\(333\) | −12.9074 | + | 22.3562i | −0.707320 | + | 1.22511i | ||||
\(334\) | 6.60257 | − | 0.105633i | 0.361277 | − | 0.00578000i | ||||
\(335\) | −12.4408 | + | 25.6037i | −0.679715 | + | 1.39888i | ||||
\(336\) | −0.0437803 | − | 1.62869i | −0.00238841 | − | 0.0888521i | ||||
\(337\) | − | 26.9790i | − | 1.46964i | −0.678261 | − | 0.734821i | \(-0.737266\pi\) | ||
0.678261 | − | 0.734821i | \(-0.262734\pi\) | |||||||
\(338\) | −0.267191 | − | 16.7007i | −0.0145333 | − | 0.908397i | ||||
\(339\) | 1.97152 | + | 1.13826i | 0.107078 | + | 0.0618218i | ||||
\(340\) | −13.5285 | − | 6.04647i | −0.733686 | − | 0.327916i | ||||
\(341\) | 7.06896 | + | 12.2438i | 0.382806 | + | 0.663039i | ||||
\(342\) | −7.68861 | + | 13.8231i | −0.415752 | + | 0.747469i | ||||
\(343\) | −2.05791 | + | 18.4056i | −0.111117 | + | 0.993807i | ||||
\(344\) | −5.99520 | + | 0.287945i | −0.323240 | + | 0.0155250i | ||||
\(345\) | −0.0500183 | − | 0.700378i | −0.00269289 | − | 0.0377071i | ||||
\(346\) | 7.98064 | + | 13.3259i | 0.429042 | + | 0.716406i | ||||
\(347\) | 19.5162 | + | 11.2677i | 1.04768 | + | 0.604880i | 0.922000 | − | 0.387190i | \(-0.126554\pi\) |
0.125684 | + | 0.992070i | \(0.459888\pi\) | |||||||
\(348\) | 1.37578 | + | 0.736664i | 0.0737498 | + | 0.0394893i | ||||
\(349\) | 2.28183 | 0.122144 | 0.0610718 | − | 0.998133i | \(-0.480548\pi\) | ||||
0.0610718 | + | 0.998133i | \(0.480548\pi\) | |||||||
\(350\) | −11.2485 | − | 14.9490i | −0.601255 | − | 0.799057i | ||||
\(351\) | − | 1.00338i | − | 0.0535567i | ||||||
\(352\) | 7.33449 | + | 3.48535i | 0.390930 | + | 0.185770i | ||||
\(353\) | 4.34760 | − | 7.53026i | 0.231399 | − | 0.400796i | −0.726821 | − | 0.686827i | \(-0.759003\pi\) |
0.958220 | + | 0.286032i | \(0.0923362\pi\) | |||||||
\(354\) | −0.863621 | − | 1.44206i | −0.0459009 | − | 0.0766445i | ||||
\(355\) | 11.3742 | − | 0.812300i | 0.603679 | − | 0.0431124i | ||||
\(356\) | −18.8646 | + | 11.7117i | −0.999823 | + | 0.620718i | ||||
\(357\) | −1.14297 | − | 0.717723i | −0.0604924 | − | 0.0379859i | ||||
\(358\) | 17.7916 | + | 9.89594i | 0.940316 | + | 0.523017i | ||||
\(359\) | −9.45940 | + | 5.46139i | −0.499248 | + | 0.288241i | −0.728403 | − | 0.685149i | \(-0.759737\pi\) |
0.229155 | + | 0.973390i | \(0.426404\pi\) | |||||||
\(360\) | −11.2850 | − | 15.0660i | −0.594772 | − | 0.794046i | ||||
\(361\) | −2.43906 | + | 4.22457i | −0.128372 | + | 0.222346i | ||||
\(362\) | 0.0988700 | + | 6.17983i | 0.00519649 | + | 0.324805i | ||||
\(363\) | −1.37622 | −0.0722330 | ||||||||
\(364\) | 2.85972 | + | 5.01228i | 0.149890 | + | 0.262715i | ||||
\(365\) | −19.4034 | − | 9.42812i | −1.01562 | − | 0.493490i | ||||
\(366\) | 0.0269615 | + | 1.68522i | 0.00140930 | + | 0.0880879i | ||||
\(367\) | −12.2452 | − | 7.06978i | −0.639196 | − | 0.369040i | 0.145109 | − | 0.989416i | \(-0.453647\pi\) |
−0.784305 | + | 0.620376i | \(0.786980\pi\) | |||||||
\(368\) | 4.52288 | + | 6.79041i | 0.235772 | + | 0.353975i | ||||
\(369\) | 10.5367 | − | 6.08336i | 0.548519 | − | 0.316687i | ||||
\(370\) | 15.7325 | + | 22.4672i | 0.817896 | + | 1.16801i | ||||
\(371\) | −0.442564 | + | 11.9185i | −0.0229768 | + | 0.618776i | ||||
\(372\) | −1.59946 | − | 2.57633i | −0.0829280 | − | 0.133576i | ||||
\(373\) | −7.21065 | − | 12.4892i | −0.373353 | − | 0.646667i | 0.616726 | − | 0.787178i | \(-0.288459\pi\) |
−0.990079 | + | 0.140511i | \(0.955125\pi\) | |||||||
\(374\) | 5.77097 | − | 3.45612i | 0.298410 | − | 0.178712i | ||||
\(375\) | 1.63934 | + | 0.524608i | 0.0846552 | + | 0.0270906i | ||||
\(376\) | −10.8924 | − | 16.9343i | −0.561732 | − | 0.873319i | ||||
\(377\) | −5.52745 | −0.284678 | ||||||||
\(378\) | −1.65794 | − | 3.01703i | −0.0852753 | − | 0.155179i | ||||
\(379\) | −7.92505 | −0.407083 | −0.203541 | − | 0.979066i | \(-0.565245\pi\) | ||||
−0.203541 | + | 0.979066i | \(0.565245\pi\) | |||||||
\(380\) | 9.85880 | + | 13.6104i | 0.505746 | + | 0.698196i | ||||
\(381\) | −1.47110 | + | 2.54802i | −0.0753669 | + | 0.130539i | ||||
\(382\) | 13.0649 | + | 21.8156i | 0.668460 | + | 1.11618i | ||||
\(383\) | 19.9807 | − | 11.5359i | 1.02097 | − | 0.589456i | 0.106583 | − | 0.994304i | \(-0.466009\pi\) |
0.914384 | + | 0.404848i | \(0.132676\pi\) | |||||||
\(384\) | −1.59629 | − | 0.696866i | −0.0814602 | − | 0.0355618i | ||||
\(385\) | 8.48765 | − | 0.290218i | 0.432571 | − | 0.0147909i | ||||
\(386\) | −6.90308 | + | 12.4108i | −0.351358 | + | 0.631695i | ||||
\(387\) | −5.46974 | + | 3.15795i | −0.278042 | + | 0.160528i | ||||
\(388\) | −20.0366 | + | 0.641288i | −1.01721 | + | 0.0325565i | ||||
\(389\) | 12.8952 | + | 7.44505i | 0.653813 | + | 0.377479i | 0.789916 | − | 0.613216i | \(-0.210124\pi\) |
−0.136102 | + | 0.990695i | \(0.543458\pi\) | |||||||
\(390\) | −0.481189 | − | 0.224367i | −0.0243660 | − | 0.0113613i | ||||
\(391\) | 6.75847 | 0.341790 | ||||||||
\(392\) | 16.8808 | + | 10.3459i | 0.852609 | + | 0.522549i | ||||
\(393\) | 1.83249i | 0.0924370i | ||||||||
\(394\) | 0.414807 | + | 25.9274i | 0.0208977 | + | 1.30620i | ||||
\(395\) | 4.05401 | + | 5.99115i | 0.203980 | + | 0.301448i | ||||
\(396\) | 8.54066 | − | 0.273351i | 0.429184 | − | 0.0137364i | ||||
\(397\) | 31.0960 | − | 17.9533i | 1.56066 | − | 0.901049i | 0.563472 | − | 0.826135i | \(-0.309465\pi\) |
0.997190 | − | 0.0749137i | \(-0.0238681\pi\) | |||||||
\(398\) | 6.28947 | + | 3.49829i | 0.315262 | + | 0.175353i | ||||
\(399\) | 0.715617 | + | 1.35308i | 0.0358257 | + | 0.0677388i | ||||
\(400\) | −19.5748 | + | 4.10228i | −0.978738 | + | 0.205114i | ||||
\(401\) | 2.44122 | + | 4.22832i | 0.121909 | + | 0.211152i | 0.920520 | − | 0.390694i | \(-0.127765\pi\) |
−0.798612 | + | 0.601847i | \(0.794432\pi\) | |||||||
\(402\) | 1.42407 | + | 2.37788i | 0.0710259 | + | 0.118598i | ||||
\(403\) | 9.30162 | + | 5.37029i | 0.463347 | + | 0.267513i | ||||
\(404\) | −8.70191 | + | 16.2516i | −0.432936 | + | 0.808546i | ||||
\(405\) | −17.6731 | − | 8.58733i | −0.878181 | − | 0.426708i | ||||
\(406\) | −16.6202 | + | 9.13327i | −0.824847 | + | 0.453277i | ||||
\(407\) | −12.4508 | −0.617166 | ||||||||
\(408\) | −1.21347 | + | 0.780522i | −0.0600757 | + | 0.0386416i | ||||
\(409\) | 21.8076 | + | 12.5906i | 1.07832 | + | 0.622567i | 0.930442 | − | 0.366439i | \(-0.119423\pi\) |
0.147875 | + | 0.989006i | \(0.452757\pi\) | |||||||
\(410\) | −1.12700 | − | 12.8778i | −0.0556584 | − | 0.635988i | ||||
\(411\) | −1.94333 | + | 1.12198i | −0.0958573 | + | 0.0553432i | ||||
\(412\) | −12.7814 | + | 7.93505i | −0.629694 | + | 0.390932i | ||||
\(413\) | 20.4121 | + | 0.757954i | 1.00441 | + | 0.0372965i | ||||
\(414\) | 7.50285 | + | 4.17319i | 0.368745 | + | 0.205101i | ||||
\(415\) | −1.40197 | − | 19.6309i | −0.0688198 | − | 0.963644i | ||||
\(416\) | 6.14942 | − | 0.492927i | 0.301500 | − | 0.0241677i | ||||
\(417\) | −1.94271 | − | 1.12162i | −0.0951349 | − | 0.0549261i | ||||
\(418\) | −7.62804 | + | 0.122040i | −0.373100 | + | 0.00596915i | ||||
\(419\) | 19.8387i | 0.969184i | 0.874740 | + | 0.484592i | \(0.161032\pi\) | ||||
−0.874740 | + | 0.484592i | \(0.838968\pi\) | |||||||
\(420\) | −1.81760 | + | 0.120454i | −0.0886897 | + | 0.00587758i | ||||
\(421\) | 15.1350i | 0.737633i | 0.929502 | + | 0.368816i | \(0.120237\pi\) | ||||
−0.929502 | + | 0.368816i | \(0.879763\pi\) | |||||||
\(422\) | −0.588702 | − | 36.7966i | −0.0286576 | − | 1.79123i | ||||
\(423\) | −18.3490 | − | 10.5938i | −0.892157 | − | 0.515087i | ||||
\(424\) | 11.3351 | + | 5.83802i | 0.550481 | + | 0.283519i | ||||
\(425\) | −6.16066 | + | 15.3792i | −0.298836 | + | 0.746003i | ||||
\(426\) | 0.539697 | − | 0.970304i | 0.0261484 | − | 0.0470114i | ||||
\(427\) | −17.3452 | − | 10.8919i | −0.839395 | − | 0.527094i | ||||
\(428\) | −13.1642 | + | 8.17270i | −0.636315 | + | 0.395042i | ||||
\(429\) | 0.208724 | − | 0.120507i | 0.0100773 | − | 0.00581813i | ||||
\(430\) | 0.585039 | + | 6.68502i | 0.0282131 | + | 0.322380i | ||||
\(431\) | −6.91977 | − | 3.99513i | −0.333314 | − | 0.192439i | 0.323998 | − | 0.946058i | \(-0.394973\pi\) |
−0.657311 | + | 0.753619i | \(0.728306\pi\) | |||||||
\(432\) | −3.67272 | + | 0.235338i | −0.176704 | + | 0.0113227i | ||||
\(433\) | 23.8710 | 1.14717 | 0.573583 | − | 0.819148i | \(-0.305553\pi\) | ||||
0.573583 | + | 0.819148i | \(0.305553\pi\) | |||||||
\(434\) | 36.8422 | + | 0.778152i | 1.76848 | + | 0.0373525i | ||||
\(435\) | 0.762544 | − | 1.56935i | 0.0365612 | − | 0.0752444i | ||||
\(436\) | 27.6079 | + | 14.7827i | 1.32218 | + | 0.707962i | ||||
\(437\) | −6.63810 | − | 3.83251i | −0.317543 | − | 0.183334i | ||||
\(438\) | −1.80204 | + | 1.07921i | −0.0861049 | + | 0.0515666i | ||||
\(439\) | −6.02272 | − | 10.4317i | −0.287449 | − | 0.497876i | 0.685751 | − | 0.727836i | \(-0.259474\pi\) |
−0.973200 | + | 0.229960i | \(0.926140\pi\) | |||||||
\(440\) | 3.57154 | − | 8.34698i | 0.170267 | − | 0.397927i | ||||
\(441\) | 20.7767 | + | 1.54512i | 0.989367 | + | 0.0735770i | ||||
\(442\) | 2.48402 | − | 4.46595i | 0.118153 | − | 0.212424i | ||||
\(443\) | 31.0474 | − | 17.9252i | 1.47511 | − | 0.851653i | 0.475500 | − | 0.879716i | \(-0.342267\pi\) |
0.999606 | + | 0.0280632i | \(0.00893396\pi\) | |||||||
\(444\) | 2.66922 | − | 0.0854306i | 0.126676 | − | 0.00405436i | ||||
\(445\) | 13.9126 | + | 20.5605i | 0.659522 | + | 0.974663i | ||||
\(446\) | 10.7558 | − | 0.172079i | 0.509300 | − | 0.00814819i | ||||
\(447\) | 1.04698i | 0.0495204i | ||||||||
\(448\) | 17.6759 | − | 11.6431i | 0.835108 | − | 0.550087i | ||||
\(449\) | −25.0673 | −1.18300 | −0.591500 | − | 0.806305i | \(-0.701464\pi\) | ||||
−0.591500 | + | 0.806305i | \(0.701464\pi\) | |||||||
\(450\) | −16.3355 | + | 13.2691i | −0.770064 | + | 0.625511i | ||||
\(451\) | 5.08201 | + | 2.93410i | 0.239302 | + | 0.138161i | ||||
\(452\) | 0.946069 | + | 29.5593i | 0.0444993 | + | 1.39035i | ||||
\(453\) | 0.167209 | − | 0.0965381i | 0.00785616 | − | 0.00453576i | ||||
\(454\) | −26.2471 | − | 14.5990i | −1.23184 | − | 0.685164i | ||||
\(455\) | 5.47396 | − | 3.41498i | 0.256623 | − | 0.160097i | ||||
\(456\) | 1.63447 | − | 0.0785022i | 0.0765409 | − | 0.00367620i | ||||
\(457\) | −26.1083 | + | 15.0736i | −1.22129 | + | 0.705115i | −0.965194 | − | 0.261536i | \(-0.915771\pi\) |
−0.256100 | + | 0.966650i | \(0.582438\pi\) | |||||||
\(458\) | −27.0437 | + | 16.1960i | −1.26367 | + | 0.756787i | ||||
\(459\) | −1.52429 | + | 2.64016i | −0.0711480 | + | 0.123232i | ||||
\(460\) | 7.38737 | − | 5.35112i | 0.344438 | − | 0.249497i | ||||
\(461\) | −6.48585 | −0.302076 | −0.151038 | − | 0.988528i | \(-0.548262\pi\) | ||||
−0.151038 | + | 0.988528i | \(0.548262\pi\) | |||||||
\(462\) | 0.428483 | − | 0.707232i | 0.0199348 | − | 0.0329034i | ||||
\(463\) | 10.1847 | 0.473324 | 0.236662 | − | 0.971592i | \(-0.423947\pi\) | ||||
0.236662 | + | 0.971592i | \(0.423947\pi\) | |||||||
\(464\) | 1.29643 | + | 20.2323i | 0.0601853 | + | 0.939261i | ||||
\(465\) | −2.80794 | + | 1.90004i | −0.130215 | + | 0.0881122i | ||||
\(466\) | 14.7306 | + | 24.5969i | 0.682382 | + | 1.13943i | ||||
\(467\) | −0.928318 | − | 1.60789i | −0.0429574 | − | 0.0744045i | 0.843747 | − | 0.536741i | \(-0.180345\pi\) |
−0.886705 | + | 0.462336i | \(0.847011\pi\) | |||||||
\(468\) | 5.51524 | − | 3.42402i | 0.254942 | − | 0.158275i | ||||
\(469\) | −33.6585 | − | 1.24983i | −1.55420 | − | 0.0577116i | ||||
\(470\) | −18.4400 | + | 12.9125i | −0.850574 | + | 0.595611i | ||||
\(471\) | −0.688070 | + | 0.397258i | −0.0317046 | + | 0.0183047i | ||||
\(472\) | 9.99844 | − | 19.4130i | 0.460215 | − | 0.893554i | ||||
\(473\) | −2.63814 | − | 1.52313i | −0.121302 | − | 0.0700335i | ||||
\(474\) | 0.704256 | − | 0.0112673i | 0.0323475 | − | 0.000517522i | ||||
\(475\) | 14.7720 | − | 11.6118i | 0.677786 | − | 0.532787i | ||||
\(476\) | 0.0897806 | − | 17.5329i | 0.00411509 | − | 0.803621i | ||||
\(477\) | 13.4167 | 0.614311 | ||||||||
\(478\) | 39.7173 | − | 0.635429i | 1.81662 | − | 0.0290638i | ||||
\(479\) | 11.3522 | − | 19.6626i | 0.518696 | − | 0.898408i | −0.481068 | − | 0.876683i | \(-0.659751\pi\) |
0.999764 | − | 0.0217249i | \(-0.00691580\pi\) | |||||||
\(480\) | −0.708397 | + | 1.81394i | −0.0323338 | + | 0.0827945i | ||||
\(481\) | −8.19166 | + | 4.72946i | −0.373507 | + | 0.215645i | ||||
\(482\) | −14.9732 | + | 26.9198i | −0.682010 | + | 1.22617i | ||||
\(483\) | 0.734420 | − | 0.388420i | 0.0334173 | − | 0.0176737i | ||||
\(484\) | −9.43003 | − | 15.1894i | −0.428638 | − | 0.690429i | ||||
\(485\) | 1.59659 | + | 22.3562i | 0.0724975 | + | 1.01514i | ||||
\(486\) | −4.99021 | + | 2.98854i | −0.226361 | + | 0.135563i | ||||
\(487\) | 3.97228 | − | 6.88019i | 0.180001 | − | 0.311771i | −0.761879 | − | 0.647719i | \(-0.775723\pi\) |
0.941881 | + | 0.335948i | \(0.109056\pi\) | |||||||
\(488\) | −18.4151 | + | 11.8449i | −0.833613 | + | 0.536193i | ||||
\(489\) | 1.44062i | 0.0651473i | ||||||||
\(490\) | 10.8166 | − | 19.3132i | 0.488646 | − | 0.872482i | ||||
\(491\) | −17.3407 | −0.782574 | −0.391287 | − | 0.920269i | \(-0.627970\pi\) | ||||
−0.391287 | + | 0.920269i | \(0.627970\pi\) | |||||||
\(492\) | −1.10962 | − | 0.594144i | −0.0500253 | − | 0.0267861i | ||||
\(493\) | 14.5441 | + | 8.39704i | 0.655033 | + | 0.378184i | ||||
\(494\) | −4.97228 | + | 2.97781i | −0.223714 | + | 0.133978i | ||||
\(495\) | −0.680551 | − | 9.52937i | −0.0305885 | − | 0.428313i | ||||
\(496\) | 17.4754 | − | 35.3066i | 0.784669 | − | 1.58531i | ||||
\(497\) | 6.30796 | + | 11.9270i | 0.282951 | + | 0.535000i | ||||
\(498\) | −1.67467 | − | 0.931474i | −0.0750437 | − | 0.0417403i | ||||
\(499\) | −6.19114 | − | 10.7234i | −0.277153 | − | 0.480044i | 0.693523 | − | 0.720435i | \(-0.256058\pi\) |
−0.970676 | + | 0.240391i | \(0.922724\pi\) | |||||||
\(500\) | 5.44282 | + | 21.6881i | 0.243410 | + | 0.969923i | ||||
\(501\) | −0.622543 | − | 0.359426i | −0.0278132 | − | 0.0160579i | ||||
\(502\) | 7.02426 | − | 0.112380i | 0.313508 | − | 0.00501576i | ||||
\(503\) | − | 5.54215i | − | 0.247112i | −0.992338 | − | 0.123556i | \(-0.960570\pi\) | ||
0.992338 | − | 0.123556i | \(-0.0394299\pi\) | |||||||
\(504\) | 10.9258 | − | 19.4086i | 0.486675 | − | 0.864528i | ||||
\(505\) | 18.5380 | + | 9.00762i | 0.824932 | + | 0.400834i | ||||
\(506\) | 0.0662402 | + | 4.14032i | 0.00294473 | + | 0.184060i | ||||
\(507\) | −0.909138 | + | 1.57467i | −0.0403763 | + | 0.0699337i | ||||
\(508\) | −38.2028 | + | 1.22271i | −1.69498 | + | 0.0542491i | ||||
\(509\) | −6.65860 | − | 11.5330i | −0.295137 | − | 0.511193i | 0.679880 | − | 0.733324i | \(-0.262032\pi\) |
−0.975017 | + | 0.222131i | \(0.928699\pi\) | |||||||
\(510\) | 0.925282 | + | 1.32137i | 0.0409722 | + | 0.0585111i | ||||
\(511\) | 0.947164 | − | 25.5076i | 0.0419001 | − | 1.12839i | ||||
\(512\) | −3.24658 | − | 22.3933i | −0.143480 | − | 0.989653i | ||||
\(513\) | 2.99429 | − | 1.72876i | 0.132201 | − | 0.0763265i | ||||
\(514\) | −24.7926 | + | 14.8478i | −1.09356 | + | 0.654909i | ||||
\(515\) | 9.42626 | + | 13.9304i | 0.415371 | + | 0.613848i | ||||
\(516\) | 0.576016 | + | 0.308428i | 0.0253577 | + | 0.0135778i | ||||
\(517\) | − | 10.2191i | − | 0.449435i | ||||||
\(518\) | −16.8164 | + | 27.7563i | −0.738870 | + | 1.21954i | ||||
\(519\) | − | 1.69092i | − | 0.0742230i | ||||||
\(520\) | −0.820813 | − | 6.84829i | −0.0359950 | − | 0.300318i | ||||
\(521\) | 11.1481 | + | 6.43636i | 0.488407 | + | 0.281982i | 0.723913 | − | 0.689891i | \(-0.242342\pi\) |
−0.235506 | + | 0.971873i | \(0.575675\pi\) | |||||||
\(522\) | 10.9610 | + | 18.3025i | 0.479752 | + | 0.801080i | ||||
\(523\) | 0.486030 | + | 0.841829i | 0.0212526 | + | 0.0368106i | 0.876456 | − | 0.481482i | \(-0.159901\pi\) |
−0.855203 | + | 0.518292i | \(0.826568\pi\) | |||||||
\(524\) | −20.2253 | + | 12.5564i | −0.883546 | + | 0.548530i | ||||
\(525\) | 0.214411 | + | 2.02527i | 0.00935766 | + | 0.0883902i | ||||
\(526\) | −7.19417 | − | 4.00150i | −0.313681 | − | 0.174474i | ||||
\(527\) | −16.3166 | − | 28.2612i | −0.710762 | − | 1.23108i | ||||
\(528\) | −0.490051 | − | 0.735736i | −0.0213267 | − | 0.0320188i | ||||
\(529\) | 9.41981 | − | 16.3156i | 0.409557 | − | 0.709373i | ||||
\(530\) | 6.02414 | − | 12.9197i | 0.261672 | − | 0.561195i | ||||
\(531\) | − | 22.9781i | − | 0.997165i | ||||||
\(532\) | −10.0305 | + | 17.1698i | −0.434879 | + | 0.744404i | ||||
\(533\) | 4.45807 | 0.193101 | ||||||||
\(534\) | 2.41688 | − | 0.0386672i | 0.104589 | − | 0.00167329i | ||||
\(535\) | 9.70857 | + | 14.3476i | 0.419738 | + | 0.620302i | ||||
\(536\) | −16.4869 | + | 32.0110i | −0.712125 | + | 1.38266i | ||||
\(537\) | −1.10812 | − | 1.91932i | −0.0478190 | − | 0.0828249i | ||||
\(538\) | −32.8923 | − | 18.2952i | −1.41809 | − | 0.788761i | ||||
\(539\) | 4.36507 | + | 9.05099i | 0.188017 | + | 0.389854i | ||||
\(540\) | 0.424247 | + | 4.09272i | 0.0182567 | + | 0.176122i | ||||
\(541\) | 1.15477 | − | 0.666704i | 0.0496472 | − | 0.0286638i | −0.474971 | − | 0.880001i | \(-0.657541\pi\) |
0.524618 | + | 0.851338i | \(0.324208\pi\) | |||||||
\(542\) | 23.0563 | − | 13.8080i | 0.990355 | − | 0.593105i | ||||
\(543\) | 0.336413 | − | 0.582684i | 0.0144369 | − | 0.0250054i | ||||
\(544\) | −16.9295 | − | 8.04489i | −0.725846 | − | 0.344922i | ||||
\(545\) | 15.3020 | − | 31.4922i | 0.655467 | − | 1.34898i | ||||
\(546\) | 0.0132654 | − | 0.628061i | 0.000567708 | − | 0.0268785i | ||||
\(547\) | 16.3516i | 0.699145i | 0.936909 | + | 0.349572i | \(0.113673\pi\) | ||||
−0.936909 | + | 0.349572i | \(0.886327\pi\) | |||||||
\(548\) | −25.6993 | − | 13.7607i | −1.09782 | − | 0.587827i | ||||
\(549\) | −11.5202 | + | 19.9535i | −0.491668 | + | 0.851595i | ||||
\(550\) | −9.48189 | − | 3.62336i | −0.404309 | − | 0.154501i | ||||
\(551\) | −9.52338 | − | 16.4950i | −0.405710 | − | 0.702710i | ||||
\(552\) | −0.0426091 | − | 0.887149i | −0.00181356 | − | 0.0377596i | ||||
\(553\) | −4.55173 | + | 7.24861i | −0.193559 | + | 0.308242i | ||||
\(554\) | 20.2166 | + | 11.2447i | 0.858920 | + | 0.477743i | ||||
\(555\) | −0.212693 | − | 2.97822i | −0.00902832 | − | 0.126418i | ||||
\(556\) | −0.932242 | − | 29.1273i | −0.0395359 | − | 1.23527i | ||||
\(557\) | 15.5495 | − | 26.9325i | 0.658854 | − | 1.14117i | −0.322059 | − | 0.946720i | \(-0.604375\pi\) |
0.980913 | − | 0.194449i | \(-0.0622918\pi\) | |||||||
\(558\) | −0.663135 | − | 41.4490i | −0.0280727 | − | 1.75468i | ||||
\(559\) | −2.31424 | −0.0978820 | ||||||||
\(560\) | −13.7838 | − | 19.2355i | −0.582473 | − | 0.812850i | ||||
\(561\) | −0.732274 | −0.0309167 | ||||||||
\(562\) | 0.206693 | + | 12.9193i | 0.00871882 | + | 0.544967i | ||||
\(563\) | 3.32761 | − | 5.76359i | 0.140242 | − | 0.242906i | −0.787346 | − | 0.616512i | \(-0.788545\pi\) |
0.927588 | + | 0.373606i | \(0.121879\pi\) | |||||||
\(564\) | 0.0701175 | + | 2.19077i | 0.00295248 | + | 0.0922482i | ||||
\(565\) | 32.9812 | − | 2.35539i | 1.38753 | − | 0.0990920i | ||||
\(566\) | 19.5831 | + | 10.8924i | 0.823140 | + | 0.457842i | ||||
\(567\) | 0.862697 | − | 23.2329i | 0.0362298 | − | 0.975689i | ||||
\(568\) | 14.4074 | − | 0.691974i | 0.604519 | − | 0.0290346i | ||||
\(569\) | 2.06702 | + | 3.58018i | 0.0866540 | + | 0.150089i | 0.906095 | − | 0.423075i | \(-0.139049\pi\) |
−0.819441 | + | 0.573164i | \(0.805716\pi\) | |||||||
\(570\) | −0.159499 | − | 1.82253i | −0.00668066 | − | 0.0763374i | ||||
\(571\) | 15.1266 | − | 26.2001i | 0.633030 | − | 1.09644i | −0.353899 | − | 0.935284i | \(-0.615144\pi\) |
0.986929 | − | 0.161156i | \(-0.0515223\pi\) | |||||||
\(572\) | 2.76024 | + | 1.47797i | 0.115412 | + | 0.0617971i | ||||
\(573\) | − | 2.76817i | − | 0.115642i | ||||||
\(574\) | 13.4048 | − | 7.36629i | 0.559504 | − | 0.307463i | ||||
\(575\) | −6.30262 | − | 8.01789i | −0.262838 | − | 0.334369i | ||||
\(576\) | −13.8266 | − | 19.3845i | −0.576108 | − | 0.807689i | ||||
\(577\) | 10.8896 | − | 18.8613i | 0.453340 | − | 0.785208i | −0.545251 | − | 0.838273i | \(-0.683566\pi\) |
0.998591 | + | 0.0530650i | \(0.0168991\pi\) | |||||||
\(578\) | 7.30514 | − | 4.37491i | 0.303854 | − | 0.181972i | ||||
\(579\) | 1.33886 | − | 0.772989i | 0.0556410 | − | 0.0321243i | ||||
\(580\) | 22.5460 | − | 2.33709i | 0.936171 | − | 0.0970425i | ||||
\(581\) | 20.5851 | − | 10.8870i | 0.854014 | − | 0.451670i | ||||
\(582\) | 1.90715 | + | 1.06078i | 0.0790540 | + | 0.0439709i | ||||
\(583\) | 3.23555 | + | 5.60414i | 0.134003 | + | 0.232100i | ||||
\(584\) | −24.2591 | − | 12.4944i | −1.00385 | − | 0.517021i | ||||
\(585\) | −4.06748 | − | 6.01105i | −0.168170 | − | 0.248526i | ||||
\(586\) | −11.0501 | + | 0.176789i | −0.456477 | + | 0.00730309i | ||||
\(587\) | −29.3485 | −1.21134 | −0.605671 | − | 0.795715i | \(-0.707095\pi\) | ||||
−0.605671 | + | 0.795715i | \(0.707095\pi\) | |||||||
\(588\) | −0.997889 | − | 1.91041i | −0.0411523 | − | 0.0787838i | ||||
\(589\) | 37.0105i | 1.52499i | ||||||||
\(590\) | −22.1268 | − | 10.3172i | −0.910946 | − | 0.424752i | ||||
\(591\) | 1.41141 | − | 2.44464i | 0.0580578 | − | 0.100559i | ||||
\(592\) | 19.2327 | + | 28.8749i | 0.790459 | + | 1.18675i | ||||
\(593\) | −9.38410 | − | 16.2537i | −0.385359 | − | 0.667461i | 0.606460 | − | 0.795114i | \(-0.292589\pi\) |
−0.991819 | + | 0.127653i | \(0.959256\pi\) | |||||||
\(594\) | −1.63233 | − | 0.907925i | −0.0669753 | − | 0.0372526i | ||||
\(595\) | −19.5912 | + | 0.669881i | −0.803162 | + | 0.0274625i | ||||
\(596\) | −11.5556 | + | 7.17401i | −0.473334 | + | 0.293859i | ||||
\(597\) | −0.391729 | − | 0.678495i | −0.0160324 | − | 0.0277689i | ||||
\(598\) | 1.61628 | + | 2.69883i | 0.0660946 | + | 0.110364i | ||||
\(599\) | 0.724292 | + | 0.418170i | 0.0295938 | + | 0.0170860i | 0.514724 | − | 0.857356i | \(-0.327894\pi\) |
−0.485130 | + | 0.874442i | \(0.661228\pi\) | |||||||
\(600\) | 2.05759 | + | 0.711719i | 0.0840010 | + | 0.0290558i | ||||
\(601\) | − | 19.1094i | − | 0.779488i | −0.920923 | − | 0.389744i | \(-0.872564\pi\) | ||
0.920923 | − | 0.389744i | \(-0.127436\pi\) | |||||||
\(602\) | −6.95858 | + | 3.82394i | −0.283611 | + | 0.155852i | ||||
\(603\) | 37.8897i | 1.54299i | ||||||||
\(604\) | 2.21123 | + | 1.18400i | 0.0899737 | + | 0.0481764i | ||||
\(605\) | −16.5550 | + | 11.2022i | −0.673055 | + | 0.455434i | ||||
\(606\) | 1.72167 | − | 1.03108i | 0.0699381 | − | 0.0418846i | ||||
\(607\) | 2.44461 | − | 1.41140i | 0.0992237 | − | 0.0572868i | −0.449567 | − | 0.893247i | \(-0.648422\pi\) |
0.548791 | + | 0.835960i | \(0.315088\pi\) | |||||||
\(608\) | 12.0660 | + | 17.5018i | 0.489340 | + | 0.709791i | ||||
\(609\) | 2.06305 | + | 0.0766064i | 0.0835990 | + | 0.00310425i | ||||
\(610\) | 14.0417 | + | 20.0525i | 0.568532 | + | 0.811902i | ||||
\(611\) | −3.88172 | − | 6.72334i | −0.157038 | − | 0.271997i | ||||
\(612\) | −19.7136 | + | 0.630949i | −0.796874 | + | 0.0255046i | ||||
\(613\) | −1.09983 | + | 1.90496i | −0.0444218 | + | 0.0769408i | −0.887381 | − | 0.461036i | \(-0.847478\pi\) |
0.842960 | + | 0.537977i | \(0.180811\pi\) | |||||||
\(614\) | 0.728417 | + | 45.5295i | 0.0293965 | + | 1.83742i | ||||
\(615\) | −0.615017 | + | 1.26573i | −0.0247999 | + | 0.0510392i | ||||
\(616\) | 10.7418 | − | 0.116841i | 0.432798 | − | 0.00470765i | ||||
\(617\) | 5.71433i | 0.230050i | 0.993363 | + | 0.115025i | \(0.0366949\pi\) | ||||
−0.993363 | + | 0.115025i | \(0.963305\pi\) | |||||||
\(618\) | 1.63751 | − | 0.0261983i | 0.0658704 | − | 0.00105385i | ||||
\(619\) | −11.3244 | − | 6.53816i | −0.455167 | − | 0.262791i | 0.254843 | − | 0.966982i | \(-0.417976\pi\) |
−0.710010 | + | 0.704192i | \(0.751310\pi\) | |||||||
\(620\) | −40.2111 | − | 17.9721i | −1.61492 | − | 0.721776i | ||||
\(621\) | −0.938327 | − | 1.62523i | −0.0376538 | − | 0.0652182i | ||||
\(622\) | 19.4232 | + | 10.8034i | 0.778798 | + | 0.433178i | ||||
\(623\) | −15.6207 | + | 24.8759i | −0.625830 | + | 0.996631i | ||||
\(624\) | −0.601883 | − | 0.297909i | −0.0240946 | − | 0.0119259i | ||||
\(625\) | 23.9903 | − | 7.03327i | 0.959611 | − | 0.281331i | ||||
\(626\) | 21.9777 | − | 13.1621i | 0.878407 | − | 0.526061i | ||||
\(627\) | 0.719233 | + | 0.415249i | 0.0287234 | + | 0.0165835i | ||||
\(628\) | −9.09929 | − | 4.87221i | −0.363101 | − | 0.194422i | ||||
\(629\) | 28.7391 | 1.14590 | ||||||||
\(630\) | −22.1627 | − | 11.3534i | −0.882982 | − | 0.452332i | ||||
\(631\) | − | 39.1013i | − | 1.55660i | −0.627893 | − | 0.778300i | \(-0.716082\pi\) | ||
0.627893 | − | 0.778300i | \(-0.283918\pi\) | |||||||
\(632\) | 4.95000 | + | 7.69570i | 0.196900 | + | 0.306119i | ||||
\(633\) | −2.00310 | + | 3.46948i | −0.0796162 | + | 0.137899i | ||||
\(634\) | 0.399134 | − | 0.239033i | 0.0158516 | − | 0.00949323i | ||||
\(635\) | 3.04414 | + | 42.6254i | 0.120803 | + | 1.69154i | ||||
\(636\) | −0.732092 | − | 1.17922i | −0.0290293 | − | 0.0467590i | ||||
\(637\) | 6.30989 | + | 4.29675i | 0.250007 | + | 0.170244i | ||||
\(638\) | −5.00158 | + | 8.99219i | −0.198014 | + | 0.356004i | ||||
\(639\) | 13.1446 | − | 7.58903i | 0.519992 | − | 0.300217i | ||||
\(640\) | −24.8745 | + | 4.61068i | −0.983252 | + | 0.182253i | ||||
\(641\) | 3.00306 | − | 5.20146i | 0.118614 | − | 0.205445i | −0.800605 | − | 0.599193i | \(-0.795488\pi\) |
0.919219 | + | 0.393748i | \(0.128822\pi\) | |||||||
\(642\) | 1.68656 | − | 0.0269829i | 0.0665630 | − | 0.00106493i | ||||
\(643\) | −7.80386 | −0.307754 | −0.153877 | − | 0.988090i | \(-0.549176\pi\) | ||||
−0.153877 | + | 0.988090i | \(0.549176\pi\) | |||||||
\(644\) | 9.31933 | + | 5.44434i | 0.367233 | + | 0.214537i | ||||
\(645\) | 0.319263 | − | 0.657057i | 0.0125710 | − | 0.0258716i | ||||
\(646\) | 17.6071 | − | 0.281692i | 0.692741 | − | 0.0110830i | ||||
\(647\) | 31.5546 | + | 18.2181i | 1.24054 | + | 0.716226i | 0.969204 | − | 0.246259i | \(-0.0792013\pi\) |
0.271336 | + | 0.962485i | \(0.412535\pi\) | |||||||
\(648\) | −22.0957 | − | 11.3801i | −0.868000 | − | 0.447054i | ||||
\(649\) | 9.59789 | − | 5.54134i | 0.376750 | − | 0.217517i | ||||
\(650\) | −7.61466 | + | 1.21782i | −0.298671 | + | 0.0477667i | ||||
\(651\) | −3.39728 | − | 2.13331i | −0.133150 | − | 0.0836109i | ||||
\(652\) | −15.9002 | + | 9.87132i | −0.622702 | + | 0.386591i | ||||
\(653\) | −13.3970 | − | 23.2044i | −0.524267 | − | 0.908057i | −0.999601 | − | 0.0282515i | \(-0.991006\pi\) |
0.475334 | − | 0.879805i | \(-0.342327\pi\) | |||||||
\(654\) | −1.75158 | − | 2.92475i | −0.0684921 | − | 0.114367i | ||||
\(655\) | 14.9161 | + | 22.0435i | 0.582821 | + | 0.861312i | ||||
\(656\) | −1.04561 | − | 16.3180i | −0.0408244 | − | 0.637112i | ||||
\(657\) | −28.7142 | −1.12025 | ||||||||
\(658\) | −22.7811 | − | 13.8021i | −0.888098 | − | 0.538063i | ||||
\(659\) | −17.4318 | −0.679047 | −0.339524 | − | 0.940597i | \(-0.610266\pi\) | ||||
−0.339524 | + | 0.940597i | \(0.610266\pi\) | |||||||
\(660\) | −0.800416 | + | 0.579789i | −0.0311561 | + | 0.0225683i | ||||
\(661\) | −8.06543 | + | 13.9697i | −0.313709 | + | 0.543360i | −0.979162 | − | 0.203080i | \(-0.934905\pi\) |
0.665453 | + | 0.746439i | \(0.268238\pi\) | |||||||
\(662\) | 0.889304 | − | 0.532587i | 0.0345638 | − | 0.0206996i | ||||
\(663\) | −0.481778 | + | 0.278155i | −0.0187107 | + | 0.0108026i | ||||
\(664\) | −1.19429 | − | 24.8660i | −0.0463475 | − | 0.964986i | ||||
\(665\) | 19.6222 | + | 10.4516i | 0.760915 | + | 0.405296i | ||||
\(666\) | 31.9044 | + | 17.7457i | 1.23627 | + | 0.687632i | ||||
\(667\) | −8.95308 | + | 5.16906i | −0.346665 | + | 0.200147i | ||||
\(668\) | −0.298738 | − | 9.33386i | −0.0115585 | − | 0.361138i | ||||
\(669\) | −1.01414 | − | 0.585513i | −0.0392089 | − | 0.0226372i | ||||
\(670\) | 36.4859 | + | 17.0125i | 1.40957 | + | 0.657251i | ||||
\(671\) | −11.1127 | −0.429001 | ||||||||
\(672\) | −2.30202 | + | 0.0987522i | −0.0888025 | + | 0.00380945i | ||||
\(673\) | − | 18.9217i | − | 0.729376i | −0.931130 | − | 0.364688i | \(-0.881176\pi\) | ||
0.931130 | − | 0.364688i | \(-0.118824\pi\) | |||||||
\(674\) | −38.1492 | + | 0.610343i | −1.46945 | + | 0.0235095i | ||||
\(675\) | 4.55363 | − | 0.653739i | 0.175269 | − | 0.0251624i | ||||
\(676\) | −23.6093 | + | 0.755634i | −0.908049 | + | 0.0290628i | ||||
\(677\) | −22.4272 | + | 12.9483i | −0.861947 | + | 0.497645i | −0.864664 | − | 0.502351i | \(-0.832469\pi\) |
0.00271669 | + | 0.999996i | \(0.499135\pi\) | |||||||
\(678\) | 1.56493 | − | 2.81355i | 0.0601009 | − | 0.108054i | ||||
\(679\) | −23.4428 | + | 12.3984i | −0.899652 | + | 0.475807i | ||||
\(680\) | −8.24385 | + | 19.2665i | −0.316137 | + | 0.738837i | ||||
\(681\) | 1.63475 | + | 2.83148i | 0.0626439 | + | 0.108502i | ||||
\(682\) | 17.1532 | − | 10.2727i | 0.656830 | − | 0.393363i | ||||
\(683\) | −41.4706 | − | 23.9431i | −1.58683 | − | 0.916157i | −0.993825 | − | 0.110957i | \(-0.964608\pi\) |
−0.593005 | − | 0.805199i | \(-0.702058\pi\) | |||||||
\(684\) | 19.7203 | + | 10.5592i | 0.754024 | + | 0.403742i | ||||
\(685\) | −14.2441 | + | 29.3149i | −0.544239 | + | 1.12007i | ||||
\(686\) | 26.0726 | + | 2.49356i | 0.995458 | + | 0.0952047i | ||||
\(687\) | 3.43156 | 0.130922 | ||||||||
\(688\) | 0.542792 | + | 8.47090i | 0.0206938 | + | 0.322950i | ||||
\(689\) | 4.25747 | + | 2.45805i | 0.162197 | + | 0.0936442i | ||||
\(690\) | −0.989225 | + | 0.0865720i | −0.0376592 | + | 0.00329574i | ||||
\(691\) | −20.6242 | + | 11.9074i | −0.784581 | + | 0.452978i | −0.838051 | − | 0.545591i | \(-0.816305\pi\) |
0.0534703 | + | 0.998569i | \(0.482972\pi\) | |||||||
\(692\) | 18.6627 | − | 11.5864i | 0.709451 | − | 0.440447i | ||||
\(693\) | 9.99256 | − | 5.28486i | 0.379586 | − | 0.200755i | ||||
\(694\) | 15.4913 | − | 27.8514i | 0.588044 | − | 1.05723i | ||||
\(695\) | −32.4992 | + | 2.32097i | −1.23276 | + | 0.0880393i | ||||
\(696\) | 1.01054 | − | 1.96207i | 0.0383045 | − | 0.0743720i | ||||
\(697\) | −11.7303 | − | 6.77249i | −0.444317 | − | 0.256527i | ||||
\(698\) | −0.0516215 | − | 3.22658i | −0.00195390 | − | 0.122128i | ||||
\(699\) | − | 3.12108i | − | 0.118050i | ||||||
\(700\) | −20.8839 | + | 16.2439i | −0.789337 | + | 0.613961i | ||||
\(701\) | − | 19.4072i | − | 0.733001i | −0.930418 | − | 0.366501i | \(-0.880556\pi\) | ||
0.930418 | − | 0.366501i | \(-0.119444\pi\) | |||||||
\(702\) | −1.41882 | + | 0.0226994i | −0.0535498 | + | 0.000856734i | ||||
\(703\) | −28.2272 | − | 16.2970i | −1.06461 | − | 0.614653i | ||||
\(704\) | 4.76247 | − | 10.4501i | 0.179492 | − | 0.393851i | ||||
\(705\) | 2.44439 | − | 0.174569i | 0.0920609 | − | 0.00657464i | ||||
\(706\) | −10.7464 | − | 5.97729i | −0.404446 | − | 0.224958i | ||||
\(707\) | −0.904920 | + | 24.3700i | −0.0340330 | + | 0.916527i | ||||
\(708\) | −2.01958 | + | 1.25381i | −0.0759005 | + | 0.0471211i | ||||
\(709\) | 9.70905 | − | 5.60552i | 0.364631 | − | 0.210520i | −0.306479 | − | 0.951877i | \(-0.599151\pi\) |
0.671110 | + | 0.741357i | \(0.265818\pi\) | |||||||
\(710\) | −1.40594 | − | 16.0651i | −0.0527638 | − | 0.602912i | ||||
\(711\) | 8.33860 | + | 4.81429i | 0.312722 | + | 0.180550i | ||||
\(712\) | 16.9875 | + | 26.4102i | 0.636633 | + | 0.989765i | ||||
\(713\) | 20.0884 | 0.752316 | ||||||||
\(714\) | −0.989026 | + | 1.63243i | −0.0370134 | + | 0.0610923i | ||||
\(715\) | 1.52990 | − | 3.14859i | 0.0572149 | − | 0.117750i | ||||
\(716\) | 13.5907 | − | 25.3818i | 0.507908 | − | 0.948562i | ||||
\(717\) | −3.74486 | − | 2.16210i | −0.139854 | − | 0.0807450i | ||||
\(718\) | 7.93658 | + | 13.2523i | 0.296190 | + | 0.494573i | ||||
\(719\) | −15.1911 | − | 26.3118i | −0.566534 | − | 0.981265i | −0.996905 | − | 0.0786133i | \(-0.974951\pi\) |
0.430371 | − | 0.902652i | \(-0.358383\pi\) | |||||||
\(720\) | −21.0485 | + | 16.2982i | −0.784429 | + | 0.607398i | ||||
\(721\) | −10.5835 | + | 16.8542i | −0.394151 | + | 0.627684i | ||||
\(722\) | 6.02886 | + | 3.35334i | 0.224371 | + | 0.124798i | ||||
\(723\) | 2.90406 | − | 1.67666i | 0.108003 | − | 0.0623556i | ||||
\(724\) | 8.73625 | − | 0.279611i | 0.324680 | − | 0.0103917i | ||||
\(725\) | −3.60132 | − | 25.0850i | −0.133750 | − | 0.931635i | ||||
\(726\) | 0.0311341 | + | 1.94602i | 0.00115549 | + | 0.0722237i | ||||
\(727\) | 5.27724i | 0.195722i | 0.995200 | + | 0.0978611i | \(0.0312001\pi\) | ||||
−0.995200 | + | 0.0978611i | \(0.968800\pi\) | |||||||
\(728\) | 7.02284 | − | 4.15713i | 0.260284 | − | 0.154074i | ||||
\(729\) | −25.7285 | −0.952909 | ||||||||
\(730\) | −12.8927 | + | 27.6504i | −0.477180 | + | 1.02339i | ||||
\(731\) | 6.08935 | + | 3.51569i | 0.225223 | + | 0.130032i | ||||
\(732\) | 2.38235 | − | 0.0762489i | 0.0880540 | − | 0.00281824i | ||||
\(733\) | −43.5098 | + | 25.1204i | −1.60707 | + | 0.927843i | −0.617051 | + | 0.786923i | \(0.711673\pi\) |
−0.990021 | + | 0.140920i | \(0.954994\pi\) | |||||||
\(734\) | −9.71988 | + | 17.4751i | −0.358767 | + | 0.645017i | ||||
\(735\) | −2.09041 | + | 1.19873i | −0.0771061 | + | 0.0442159i | ||||
\(736\) | 9.49954 | − | 6.54912i | 0.350158 | − | 0.241404i | ||||
\(737\) | −15.8264 | + | 9.13738i | −0.582973 | + | 0.336580i | ||||
\(738\) | −8.84045 | − | 14.7616i | −0.325421 | − | 0.543382i | ||||
\(739\) | 16.0613 | − | 27.8190i | 0.590825 | − | 1.02334i | −0.403296 | − | 0.915069i | \(-0.632136\pi\) |
0.994122 | − | 0.108270i | \(-0.0345310\pi\) | |||||||
\(740\) | 31.4134 | − | 22.7546i | 1.15478 | − | 0.836476i | ||||
\(741\) | 0.630930 | 0.0231778 | ||||||||
\(742\) | 16.8631 | + | 0.356170i | 0.619065 | + | 0.0130754i | ||||
\(743\) | −9.26158 | −0.339774 | −0.169887 | − | 0.985464i | \(-0.554340\pi\) | ||||
−0.169887 | + | 0.985464i | \(0.554340\pi\) | |||||||
\(744\) | −3.60683 | + | 2.31997i | −0.132233 | + | 0.0850542i | ||||
\(745\) | 8.52220 | + | 12.5944i | 0.312229 | + | 0.461423i | ||||
\(746\) | −17.4970 | + | 10.4786i | −0.640611 | + | 0.383650i | ||||
\(747\) | −13.0981 | − | 22.6865i | −0.479233 | − | 0.830056i | ||||
\(748\) | −5.01762 | − | 8.08215i | −0.183463 | − | 0.295513i | ||||
\(749\) | −10.9005 | + | 17.3590i | −0.398295 | + | 0.634284i | ||||
\(750\) | 0.704726 | − | 2.32995i | 0.0257330 | − | 0.0850777i | ||||
\(751\) | 38.8410 | − | 22.4249i | 1.41733 | − | 0.818294i | 0.421264 | − | 0.906938i | \(-0.361587\pi\) |
0.996063 | + | 0.0886436i | \(0.0282532\pi\) | |||||||
\(752\) | −23.6992 | + | 15.7853i | −0.864221 | + | 0.575631i | ||||
\(753\) | −0.662303 | − | 0.382381i | −0.0241357 | − | 0.0139347i | ||||
\(754\) | 0.125047 | + | 7.81599i | 0.00455393 | + | 0.284642i | ||||
\(755\) | 1.22560 | − | 2.52233i | 0.0446041 | − | 0.0917971i | ||||
\(756\) | −4.22867 | + | 2.41264i | −0.153795 | + | 0.0877467i | ||||
\(757\) | −20.8029 | −0.756093 | −0.378047 | − | 0.925787i | \(-0.623404\pi\) | ||||
−0.378047 | + | 0.925787i | \(0.623404\pi\) | |||||||
\(758\) | 0.179287 | + | 11.2063i | 0.00651200 | + | 0.407030i | ||||
\(759\) | 0.225387 | − | 0.390382i | 0.00818104 | − | 0.0141700i | ||||
\(760\) | 19.0224 | − | 14.2486i | 0.690017 | − | 0.516850i | ||||
\(761\) | 1.83269 | − | 1.05810i | 0.0664348 | − | 0.0383562i | −0.466415 | − | 0.884566i | \(-0.654455\pi\) |
0.532849 | + | 0.846210i | \(0.321121\pi\) | |||||||
\(762\) | 3.63627 | + | 2.02254i | 0.131728 | + | 0.0732690i | ||||
\(763\) | 41.3994 | + | 1.53727i | 1.49876 | + | 0.0556528i | ||||
\(764\) | 30.5524 | − | 18.9678i | 1.10535 | − | 0.686230i | ||||
\(765\) | 1.57085 | + | 21.9957i | 0.0567942 | + | 0.795257i | ||||
\(766\) | −16.7641 | − | 27.9924i | −0.605712 | − | 1.01141i | ||||
\(767\) | 4.20976 | − | 7.29152i | 0.152006 | − | 0.263282i | ||||
\(768\) | −0.949279 | + | 2.27297i | −0.0342542 | + | 0.0820186i | ||||
\(769\) | 28.4014i | 1.02418i | 0.858931 | + | 0.512091i | \(0.171129\pi\) | ||||
−0.858931 | + | 0.512091i | \(0.828871\pi\) | |||||||
\(770\) | −0.602392 | − | 11.9953i | −0.0217087 | − | 0.432279i | ||||
\(771\) | 3.14592 | 0.113298 | ||||||||
\(772\) | 17.7055 | + | 9.48041i | 0.637235 | + | 0.341208i | ||||
\(773\) | 41.9911 | + | 24.2436i | 1.51031 | + | 0.871980i | 0.999928 | + | 0.0120354i | \(0.00383107\pi\) |
0.510387 | + | 0.859945i | \(0.329502\pi\) | |||||||
\(774\) | 4.58919 | + | 7.66294i | 0.164955 | + | 0.275439i | ||||
\(775\) | −18.3115 | + | 45.7122i | −0.657768 | + | 1.64203i | ||||
\(776\) | 1.36009 | + | 28.3179i | 0.0488243 | + | 1.01655i | ||||
\(777\) | 3.12298 | − | 1.65168i | 0.112036 | − | 0.0592537i | ||||
\(778\) | 10.2358 | − | 18.4027i | 0.366972 | − | 0.659768i | ||||
\(779\) | 7.68093 | + | 13.3038i | 0.275198 | + | 0.476656i | ||||
\(780\) | −0.306376 | + | 0.685493i | −0.0109700 | + | 0.0245446i | ||||
\(781\) | 6.33983 | + | 3.66030i | 0.226857 | + | 0.130976i | ||||
\(782\) | −0.152896 | − | 9.55669i | −0.00546754 | − | 0.341747i | ||||
\(783\) | − | 4.66329i | − | 0.166652i | ||||||
\(784\) | 14.2476 | − | 24.1041i | 0.508843 | − | 0.860859i | ||||
\(785\) | −5.04338 | + | 10.3795i | −0.180006 | + | 0.370460i | ||||
\(786\) | 2.59120 | − | 0.0414562i | 0.0924252 | − | 0.00147869i | ||||
\(787\) | 21.5827 | − | 37.3824i | 0.769342 | − | 1.33254i | −0.168578 | − | 0.985688i | \(-0.553918\pi\) |
0.937920 | − | 0.346851i | \(-0.112749\pi\) | |||||||
\(788\) | 36.6528 | − | 1.17310i | 1.30570 | − | 0.0417900i | ||||
\(789\) | 0.448077 | + | 0.776092i | 0.0159520 | + | 0.0276296i | ||||
\(790\) | 8.37997 | − | 5.86805i | 0.298146 | − | 0.208776i | ||||
\(791\) | 18.2909 | + | 34.5843i | 0.650350 | + | 1.22968i | ||||
\(792\) | −0.579741 | − | 12.0706i | −0.0206002 | − | 0.428910i | ||||
\(793\) | −7.31126 | + | 4.22116i | −0.259630 | + | 0.149898i | ||||
\(794\) | −26.0900 | − | 43.5646i | −0.925899 | − | 1.54605i | ||||
\(795\) | −1.28523 | + | 0.869672i | −0.0455824 | + | 0.0308441i | ||||
\(796\) | 4.80441 | − | 8.97265i | 0.170288 | − | 0.318027i | ||||
\(797\) | − | 29.9946i | − | 1.06246i | −0.847226 | − | 0.531232i | \(-0.821729\pi\) | ||
0.847226 | − | 0.531232i | \(-0.178271\pi\) | |||||||
\(798\) | 1.89711 | − | 1.04252i | 0.0671571 | − | 0.0369047i | ||||
\(799\) | 23.5877i | 0.834473i | ||||||||
\(800\) | 6.24359 | + | 27.5865i | 0.220744 | + | 0.975332i | ||||
\(801\) | 28.6165 | + | 16.5218i | 1.01112 | + | 0.583768i | ||||
\(802\) | 5.92376 | − | 3.54763i | 0.209175 | − | 0.125271i | ||||
\(803\) | −6.92464 | − | 11.9938i | −0.244365 | − | 0.423253i | ||||
\(804\) | 3.33018 | − | 2.06747i | 0.117446 | − | 0.0729140i | ||||
\(805\) | 5.67288 | − | 10.6504i | 0.199943 | − | 0.375379i | ||||
\(806\) | 7.38334 | − | 13.2743i | 0.260067 | − | 0.467567i | ||||
\(807\) | 2.04865 | + | 3.54836i | 0.0721157 | + | 0.124908i | ||||
\(808\) | 23.1771 | + | 11.9371i | 0.815368 | + | 0.419947i | ||||
\(809\) | 5.50711 | − | 9.53859i | 0.193620 | − | 0.335359i | −0.752827 | − | 0.658218i | \(-0.771311\pi\) |
0.946447 | + | 0.322859i | \(0.104644\pi\) | |||||||
\(810\) | −11.7429 | + | 25.1845i | −0.412605 | + | 0.884895i | ||||
\(811\) | 47.9974i | 1.68542i | 0.538370 | + | 0.842709i | \(0.319040\pi\) | ||||
−0.538370 | + | 0.842709i | \(0.680960\pi\) | |||||||
\(812\) | 13.2907 | + | 23.2949i | 0.466414 | + | 0.817491i | ||||
\(813\) | −2.92561 | −0.102605 | ||||||||
\(814\) | 0.281674 | + | 17.6059i | 0.00987265 | + | 0.617087i | ||||
\(815\) | 11.7264 | + | 17.3297i | 0.410758 | + | 0.607032i | ||||
\(816\) | 1.13114 | + | 1.69823i | 0.0395977 | + | 0.0594499i | ||||
\(817\) | −3.98727 | − | 6.90615i | −0.139497 | − | 0.241616i | ||||
\(818\) | 17.3102 | − | 31.1215i | 0.605238 | − | 1.08814i | ||||
\(819\) | 4.56685 | − | 7.27269i | 0.159579 | − | 0.254128i | ||||
\(820\) | −18.1841 | + | 1.88494i | −0.635016 | + | 0.0658251i | ||||
\(821\) | 34.5914 | − | 19.9714i | 1.20725 | − | 0.697005i | 0.245091 | − | 0.969500i | \(-0.421182\pi\) |
0.962157 | + | 0.272495i | \(0.0878489\pi\) | |||||||
\(822\) | 1.63048 | + | 2.72255i | 0.0568696 | + | 0.0949597i | ||||
\(823\) | −5.81026 | + | 10.0637i | −0.202533 | + | 0.350797i | −0.949344 | − | 0.314239i | \(-0.898251\pi\) |
0.746811 | + | 0.665036i | \(0.231584\pi\) | |||||||
\(824\) | 11.5096 | + | 17.8938i | 0.400955 | + | 0.623360i | ||||
\(825\) | 0.682884 | + | 0.868732i | 0.0237750 | + | 0.0302454i | ||||
\(826\) | 0.609992 | − | 28.8805i | 0.0212243 | − | 1.00488i | ||||
\(827\) | − | 4.81807i | − | 0.167541i | −0.996485 | − | 0.0837703i | \(-0.973304\pi\) | ||
0.996485 | − | 0.0837703i | \(-0.0266962\pi\) | |||||||
\(828\) | 5.73129 | − | 10.7037i | 0.199176 | − | 0.371979i | ||||
\(829\) | −1.81411 | + | 3.14212i | −0.0630065 | + | 0.109130i | −0.895808 | − | 0.444441i | \(-0.853402\pi\) |
0.832801 | + | 0.553572i | \(0.186736\pi\) | |||||||
\(830\) | −27.7271 | + | 2.42653i | −0.962420 | + | 0.0842262i | ||||
\(831\) | −1.25916 | − | 2.18092i | −0.0436796 | − | 0.0756553i | ||||
\(832\) | −0.836131 | − | 8.68432i | −0.0289876 | − | 0.301075i | ||||
\(833\) | −10.0755 | − | 20.8915i | −0.349094 | − | 0.723848i | ||||
\(834\) | −1.54206 | + | 2.77243i | −0.0533973 | + | 0.0960013i | ||||
\(835\) | −10.4144 | + | 0.743756i | −0.360405 | + | 0.0257387i | ||||
\(836\) | 0.345136 | + | 10.7835i | 0.0119368 | + | 0.372957i | ||||
\(837\) | −4.53070 | + | 7.84741i | −0.156604 | + | 0.271246i | ||||
\(838\) | 28.0526 | − | 0.448808i | 0.969060 | − | 0.0155038i | ||||
\(839\) | 29.9571 | 1.03423 | 0.517117 | − | 0.855914i | \(-0.327005\pi\) | ||||
0.517117 | + | 0.855914i | \(0.327005\pi\) | |||||||
\(840\) | 0.211446 | + | 2.56742i | 0.00729557 | + | 0.0885843i | ||||
\(841\) | 3.31084 | 0.114167 | ||||||||
\(842\) | 21.4013 | − | 0.342396i | 0.737538 | − | 0.0117997i | ||||
\(843\) | 0.703289 | − | 1.21813i | 0.0242226 | − | 0.0419547i | ||||
\(844\) | −52.0183 | + | 1.66489i | −1.79054 | + | 0.0573078i | ||||
\(845\) | 1.88127 | + | 26.3424i | 0.0647178 | + | 0.906206i | ||||
\(846\) | −14.5648 | + | 26.1857i | −0.500750 | + | 0.900283i | ||||
\(847\) | −20.0296 | − | 12.5775i | −0.688225 | − | 0.432167i | ||||
\(848\) | 7.99871 | − | 16.1603i | 0.274677 | − | 0.554946i | ||||
\(849\) | −1.21970 | − | 2.11259i | −0.0418601 | − | 0.0725038i | ||||
\(850\) | 21.8861 | + | 8.36345i | 0.750688 | + | 0.286864i | ||||
\(851\) | −8.84562 | + | 15.3211i | −0.303224 | + | 0.525199i | ||||
\(852\) | −1.38425 | − | 0.741198i | −0.0474237 | − | 0.0253930i | ||||
\(853\) | 35.0267i | 1.19929i | 0.800265 | + | 0.599646i | \(0.204692\pi\) | ||||
−0.800265 | + | 0.599646i | \(0.795308\pi\) | |||||||
\(854\) | −15.0091 | + | 24.7732i | −0.513599 | + | 0.847720i | ||||
\(855\) | 10.9302 | − | 22.4948i | 0.373805 | − | 0.769304i | ||||
\(856\) | 11.8543 | + | 18.4297i | 0.405171 | + | 0.629914i | ||||
\(857\) | −11.5132 | + | 19.9415i | −0.393285 | + | 0.681190i | −0.992881 | − | 0.119113i | \(-0.961995\pi\) |
0.599596 | + | 0.800303i | \(0.295328\pi\) | |||||||
\(858\) | −0.175123 | − | 0.292417i | −0.00597859 | − | 0.00998294i | ||||
\(859\) | 32.2382 | − | 18.6127i | 1.09995 | − | 0.635057i | 0.163743 | − | 0.986503i | \(-0.447643\pi\) |
0.936208 | + | 0.351446i | \(0.114310\pi\) | |||||||
\(860\) | 9.43960 | − | 0.978498i | 0.321888 | − | 0.0333665i | ||||
\(861\) | −1.66392 | − | 0.0617856i | −0.0567062 | − | 0.00210565i | ||||
\(862\) | −5.49270 | + | 9.87516i | −0.187082 | + | 0.336349i | ||||
\(863\) | 21.3463 | + | 36.9728i | 0.726635 | + | 1.25857i | 0.958297 | + | 0.285773i | \(0.0922503\pi\) |
−0.231662 | + | 0.972796i | \(0.574416\pi\) | |||||||
\(864\) | 0.415863 | + | 5.18802i | 0.0141479 | + | 0.176500i | ||||
\(865\) | −13.7637 | − | 20.3405i | −0.467981 | − | 0.691598i | ||||
\(866\) | −0.540029 | − | 33.7543i | −0.0183509 | − | 1.14702i | ||||
\(867\) | −0.926945 | −0.0314807 | ||||||||
\(868\) | 0.266857 | − | 52.1136i | 0.00905773 | − | 1.76885i | ||||
\(869\) | 4.64401i | 0.157537i | ||||||||
\(870\) | −2.23636 | − | 1.04276i | −0.0758196 | − | 0.0353528i | ||||
\(871\) | −6.94167 | + | 12.0233i | −0.235210 | + | 0.407395i | ||||
\(872\) | 20.2786 | − | 39.3730i | 0.686721 | − | 1.33334i | ||||
\(873\) | 14.9164 | + | 25.8359i | 0.504843 | + | 0.874414i | ||||
\(874\) | −5.26912 | + | 9.47319i | −0.178231 | + | 0.320435i | ||||
\(875\) | 19.0646 | + | 22.6173i | 0.644500 | + | 0.764605i | ||||
\(876\) | 1.56680 | + | 2.52373i | 0.0529374 | + | 0.0852690i | ||||
\(877\) | 11.4970 | + | 19.9134i | 0.388226 | + | 0.672426i | 0.992211 | − | 0.124569i | \(-0.0397548\pi\) |
−0.603985 | + | 0.796995i | \(0.706421\pi\) | |||||||
\(878\) | −14.6144 | + | 8.75231i | −0.493214 | + | 0.295376i | ||||
\(879\) | 1.04190 | + | 0.601539i | 0.0351423 | + | 0.0202894i | ||||
\(880\) | −11.8837 | − | 4.86145i | −0.400599 | − | 0.163879i | ||||
\(881\) | − | 0.715575i | − | 0.0241083i | −0.999927 | − | 0.0120542i | \(-0.996163\pi\) | ||
0.999927 | − | 0.0120542i | \(-0.00383706\pi\) | |||||||
\(882\) | 1.71482 | − | 29.4139i | 0.0577409 | − | 0.990418i | ||||
\(883\) | − | 19.0102i | − | 0.639743i | −0.947461 | − | 0.319871i | \(-0.896360\pi\) | ||
0.947461 | − | 0.319871i | \(-0.103640\pi\) | |||||||
\(884\) | −6.37120 | − | 3.41146i | −0.214287 | − | 0.114740i | ||||
\(885\) | 1.48944 | + | 2.20114i | 0.0500669 | + | 0.0739904i | ||||
\(886\) | −26.0492 | − | 43.4965i | −0.875141 | − | 1.46129i | ||||
\(887\) | −7.73543 | + | 4.46605i | −0.259730 | + | 0.149955i | −0.624212 | − | 0.781255i | \(-0.714580\pi\) |
0.364481 | + | 0.931211i | \(0.381246\pi\) | |||||||
\(888\) | −0.181187 | − | 3.77243i | −0.00608024 | − | 0.126594i | ||||
\(889\) | −44.6972 | + | 23.6394i | −1.49910 | + | 0.792841i | ||||
\(890\) | 28.7585 | − | 20.1381i | 0.963988 | − | 0.675029i | ||||
\(891\) | −6.30711 | − | 10.9242i | −0.211296 | − | 0.365976i | ||||
\(892\) | −0.486652 | − | 15.2051i | −0.0162943 | − | 0.509104i | ||||
\(893\) | 13.3758 | − | 23.1676i | 0.447605 | − | 0.775275i | ||||
\(894\) | 1.48046 | − | 0.0236856i | 0.0495140 | − | 0.000792166i | ||||
\(895\) | −28.9528 | − | 14.0682i | −0.967786 | − | 0.470247i | ||||
\(896\) | −16.8637 | − | 24.7309i | −0.563375 | − | 0.826201i | ||||
\(897\) | − | 0.342453i | − | 0.0114342i | ||||||
\(898\) | 0.567094 | + | 35.4460i | 0.0189242 | + | 1.18285i | ||||
\(899\) | 43.2298 | + | 24.9588i | 1.44180 | + | 0.832421i | ||||
\(900\) | 19.1325 | + | 22.7988i | 0.637749 | + | 0.759959i | ||||
\(901\) | −7.46831 | − | 12.9355i | −0.248805 | − | 0.430944i | ||||
\(902\) | 4.03394 | − | 7.25250i | 0.134316 | − | 0.241482i | ||||
\(903\) | 0.863762 | + | 0.0320737i | 0.0287442 | + | 0.00106735i | ||||
\(904\) | 41.7764 | − | 2.00649i | 1.38946 | − | 0.0667348i | ||||
\(905\) | −0.696136 | − | 9.74760i | −0.0231404 | − | 0.324021i | ||||
\(906\) | −0.140291 | − | 0.234255i | −0.00466085 | − | 0.00778260i | ||||
\(907\) | −16.6255 | − | 9.59872i | −0.552039 | − | 0.318720i | 0.197905 | − | 0.980221i | \(-0.436586\pi\) |
−0.749944 | + | 0.661501i | \(0.769920\pi\) | |||||||
\(908\) | −20.0496 | + | 37.4445i | −0.665371 | + | 1.24264i | ||||
\(909\) | 27.4335 | 0.909913 | ||||||||
\(910\) | −4.95272 | − | 7.66310i | −0.164181 | − | 0.254029i | ||||
\(911\) | 11.8154i | 0.391462i | 0.980658 | + | 0.195731i | \(0.0627079\pi\) | ||||
−0.980658 | + | 0.195731i | \(0.937292\pi\) | |||||||
\(912\) | −0.147981 | − | 2.30941i | −0.00490014 | − | 0.0764723i | ||||
\(913\) | 6.31739 | − | 10.9420i | 0.209075 | − | 0.362129i | ||||
\(914\) | 21.9052 | + | 36.5770i | 0.724561 | + | 1.20986i | ||||
\(915\) | −0.189834 | − | 2.65814i | −0.00627572 | − | 0.0878753i | ||||
\(916\) | 23.5134 | + | 37.8743i | 0.776905 | + | 1.25140i | ||||
\(917\) | −16.7474 | + | 26.6702i | −0.553048 | + | 0.880726i | ||||
\(918\) | 3.76775 | + | 2.09567i | 0.124354 | + | 0.0691675i | ||||
\(919\) | −6.05833 | + | 3.49778i | −0.199846 | + | 0.115381i | −0.596584 | − | 0.802551i | \(-0.703476\pi\) |
0.396738 | + | 0.917932i | \(0.370142\pi\) | |||||||
\(920\) | −7.73378 | − | 10.3249i | −0.254975 | − | 0.340403i | ||||
\(921\) | 2.47850 | − | 4.29288i | 0.0816692 | − | 0.141455i | ||||
\(922\) | 0.146728 | + | 9.17120i | 0.00483224 | + | 0.302037i | ||||
\(923\) | 5.56147 | 0.183058 | ||||||||
\(924\) | −1.00974 | − | 0.589890i | −0.0332181 | − | 0.0194059i | ||||
\(925\) | −26.8007 | − | 34.0945i | −0.881201 | − | 1.12102i | ||||
\(926\) | −0.230407 | − | 14.4015i | −0.00757165 | − | 0.473264i | ||||
\(927\) | 19.3886 | + | 11.1940i | 0.636806 | + | 0.367660i | ||||
\(928\) | 28.5798 | − | 2.29091i | 0.938178 | − | 0.0752027i | ||||
\(929\) | −32.9599 | + | 19.0294i | −1.08138 | + | 0.624335i | −0.931268 | − | 0.364334i | \(-0.881297\pi\) |
−0.150112 | + | 0.988669i | \(0.547963\pi\) | |||||||
\(930\) | 2.75024 | + | 3.92753i | 0.0901840 | + | 0.128789i | ||||
\(931\) | −1.95088 | + | 26.2329i | −0.0639376 | + | 0.859749i | ||||
\(932\) | 34.4475 | − | 21.3860i | 1.12837 | − | 0.700521i | ||||
\(933\) | −1.20974 | − | 2.09533i | −0.0396051 | − | 0.0685981i | ||||
\(934\) | −2.25261 | + | 1.34905i | −0.0737078 | + | 0.0441422i | ||||
\(935\) | −8.80873 | + | 5.96057i | −0.288076 | + | 0.194932i | ||||
\(936\) | −4.96644 | − | 7.72127i | −0.162333 | − | 0.252377i | ||||
\(937\) | −5.82954 | −0.190443 | −0.0952214 | − | 0.995456i | \(-0.530356\pi\) | ||||
−0.0952214 | + | 0.995456i | \(0.530356\pi\) | |||||||
\(938\) | −1.00584 | + | 47.6224i | −0.0328420 | + | 1.55493i | ||||
\(939\) | −2.78874 | −0.0910072 | ||||||||
\(940\) | 18.6759 | + | 25.7827i | 0.609142 | + | 0.840937i | ||||
\(941\) | −5.75307 | + | 9.96461i | −0.187545 | + | 0.324837i | −0.944431 | − | 0.328710i | \(-0.893386\pi\) |
0.756886 | + | 0.653547i | \(0.226720\pi\) | |||||||
\(942\) | 0.577301 | + | 0.963967i | 0.0188095 | + | 0.0314077i | ||||
\(943\) | 7.22096 | − | 4.16902i | 0.235147 | − | 0.135762i | ||||
\(944\) | −27.6768 | − | 13.6989i | −0.900802 | − | 0.445863i | ||||
\(945\) | 2.88108 | + | 4.61816i | 0.0937216 | + | 0.150229i | ||||
\(946\) | −2.09407 | + | 3.76487i | −0.0680841 | + | 0.122406i | ||||
\(947\) | −13.0808 | + | 7.55218i | −0.425068 | + | 0.245413i | −0.697243 | − | 0.716835i | \(-0.745590\pi\) |
0.272175 | + | 0.962248i | \(0.412257\pi\) | |||||||
\(948\) | −0.0318645 | − | 0.995586i | −0.00103491 | − | 0.0323351i | ||||
\(949\) | −9.11172 | − | 5.26065i | −0.295779 | − | 0.170768i | ||||
\(950\) | −16.7537 | − | 20.6254i | −0.543562 | − | 0.669177i | ||||
\(951\) | −0.0506458 | −0.00164230 | ||||||||
\(952\) | −24.7942 | + | 0.269692i | −0.803584 | + | 0.00874077i | ||||
\(953\) | 13.7981i | 0.446963i | 0.974708 | + | 0.223481i | \(0.0717422\pi\) | ||||
−0.974708 | + | 0.223481i | \(0.928258\pi\) | |||||||
\(954\) | −0.303525 | − | 18.9717i | −0.00982699 | − | 0.614232i | ||||
\(955\) | −22.5323 | − | 33.2990i | −0.729129 | − | 1.07753i | ||||
\(956\) | −1.79703 | − | 56.1471i | −0.0581202 | − | 1.81593i | ||||
\(957\) | 0.970059 | − | 0.560064i | 0.0313575 | − | 0.0181043i | ||||
\(958\) | −28.0604 | − | 15.6076i | −0.906591 | − | 0.504258i | ||||
\(959\) | −38.5372 | − | 1.43099i | −1.24443 | − | 0.0462089i | ||||
\(960\) | 2.58099 | + | 0.960661i | 0.0833011 | + | 0.0310052i | ||||
\(961\) | −32.9983 | − | 57.1547i | −1.06446 | − | 1.84370i | ||||
\(962\) | 6.87292 | + | 11.4763i | 0.221592 | + | 0.370010i | ||||
\(963\) | 19.9693 | + | 11.5293i | 0.643502 | + | 0.371526i | ||||
\(964\) | 38.4043 | + | 20.5636i | 1.23692 | + | 0.662308i | ||||
\(965\) | 9.81348 | − | 20.1965i | 0.315907 | − | 0.650149i | ||||
\(966\) | −0.565853 | − | 1.02971i | −0.0182060 | − | 0.0331303i | ||||
\(967\) | −4.03799 | −0.129853 | −0.0649265 | − | 0.997890i | \(-0.520681\pi\) | ||||
−0.0649265 | + | 0.997890i | \(0.520681\pi\) | |||||||
\(968\) | −21.2650 | + | 13.6780i | −0.683484 | + | 0.439627i | ||||
\(969\) | −1.66014 | − | 0.958479i | −0.0533312 | − | 0.0307908i | ||||
\(970\) | 31.5762 | − | 2.76339i | 1.01385 | − | 0.0887272i | ||||
\(971\) | −4.03698 | + | 2.33075i | −0.129553 | + | 0.0747974i | −0.563376 | − | 0.826201i | \(-0.690498\pi\) |
0.433823 | + | 0.900998i | \(0.357164\pi\) | |||||||
\(972\) | 4.33879 | + | 6.98871i | 0.139167 | + | 0.224163i | ||||
\(973\) | −18.0236 | − | 34.0788i | −0.577810 | − | 1.09252i | ||||
\(974\) | −9.81868 | − | 5.46128i | −0.314611 | − | 0.174991i | ||||
\(975\) | 0.779271 | + | 0.312162i | 0.0249566 | + | 0.00999720i | ||||
\(976\) | 17.1657 | + | 25.7716i | 0.549459 | + | 0.824929i | ||||
\(977\) | 11.8967 | + | 6.86853i | 0.380608 | + | 0.219744i | 0.678083 | − | 0.734986i | \(-0.262811\pi\) |
−0.297475 | + | 0.954730i | \(0.596144\pi\) | |||||||
\(978\) | 2.03709 | − | 0.0325910i | 0.0651390 | − | 0.00104215i | ||||
\(979\) | 15.9374i | 0.509361i | ||||||||
\(980\) | −27.5542 | − | 14.8582i | −0.880187 | − | 0.474627i | ||||
\(981\) | − | 46.6037i | − | 1.48794i | ||||||
\(982\) | 0.392295 | + | 24.5203i | 0.0125186 | + | 0.782473i | ||||
\(983\) | 10.2832 | + | 5.93702i | 0.327984 | + | 0.189362i | 0.654946 | − | 0.755676i | \(-0.272691\pi\) |
−0.326962 | + | 0.945038i | \(0.606025\pi\) | |||||||
\(984\) | −0.815036 | + | 1.58247i | −0.0259824 | + | 0.0504474i | ||||
\(985\) | −2.92063 | − | 40.8959i | −0.0930589 | − | 1.30305i | ||||
\(986\) | 11.5447 | − | 20.7558i | 0.367657 | − | 0.660999i | ||||
\(987\) | 1.35562 | + | 2.56320i | 0.0431499 | + | 0.0815875i | ||||
\(988\) | 4.32320 | + | 6.96360i | 0.137539 | + | 0.221542i | ||||
\(989\) | −3.74849 | + | 2.16419i | −0.119195 | + | 0.0688173i | ||||
\(990\) | −13.4594 | + | 1.17790i | −0.427769 | + | 0.0374362i | ||||
\(991\) | 45.8394 | + | 26.4654i | 1.45614 | + | 0.840701i | 0.998818 | − | 0.0486023i | \(-0.0154767\pi\) |
0.457318 | + | 0.889303i | \(0.348810\pi\) | |||||||
\(992\) | −50.3200 | − | 23.9121i | −1.59766 | − | 0.759209i | ||||
\(993\) | −0.112843 | −0.00358097 | ||||||||
\(994\) | 16.7225 | − | 9.18948i | 0.530406 | − | 0.291473i | ||||
\(995\) | −10.2350 | − | 4.97319i | −0.324472 | − | 0.157661i | ||||
\(996\) | −1.27925 | + | 2.38911i | −0.0405345 | + | 0.0757018i | ||||
\(997\) | −37.5255 | − | 21.6653i | −1.18844 | − | 0.686148i | −0.230491 | − | 0.973075i | \(-0.574033\pi\) |
−0.957953 | + | 0.286926i | \(0.907366\pi\) | |||||||
\(998\) | −15.0231 | + | 8.99706i | −0.475549 | + | 0.284797i | ||||
\(999\) | −3.99006 | − | 6.91098i | −0.126240 | − | 0.218654i |
(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 | 280.2.ba.b.59.20 | yes | 80 | |
4.3 | odd | 2 | 1120.2.bq.b.1039.21 | 80 | |||
5.4 | even | 2 | inner | 280.2.ba.b.59.21 | yes | 80 | |
7.5 | odd | 6 | inner | 280.2.ba.b.19.8 | ✓ | 80 | |
8.3 | odd | 2 | inner | 280.2.ba.b.59.33 | yes | 80 | |
8.5 | even | 2 | 1120.2.bq.b.1039.22 | 80 | |||
20.19 | odd | 2 | 1120.2.bq.b.1039.20 | 80 | |||
28.19 | even | 6 | 1120.2.bq.b.719.19 | 80 | |||
35.19 | odd | 6 | inner | 280.2.ba.b.19.33 | yes | 80 | |
40.19 | odd | 2 | inner | 280.2.ba.b.59.8 | yes | 80 | |
40.29 | even | 2 | 1120.2.bq.b.1039.19 | 80 | |||
56.5 | odd | 6 | 1120.2.bq.b.719.20 | 80 | |||
56.19 | even | 6 | inner | 280.2.ba.b.19.21 | yes | 80 | |
140.19 | even | 6 | 1120.2.bq.b.719.22 | 80 | |||
280.19 | even | 6 | inner | 280.2.ba.b.19.20 | yes | 80 | |
280.229 | odd | 6 | 1120.2.bq.b.719.21 | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.ba.b.19.8 | ✓ | 80 | 7.5 | odd | 6 | inner | |
280.2.ba.b.19.20 | yes | 80 | 280.19 | even | 6 | inner | |
280.2.ba.b.19.21 | yes | 80 | 56.19 | even | 6 | inner | |
280.2.ba.b.19.33 | yes | 80 | 35.19 | odd | 6 | inner | |
280.2.ba.b.59.8 | yes | 80 | 40.19 | odd | 2 | inner | |
280.2.ba.b.59.20 | yes | 80 | 1.1 | even | 1 | trivial | |
280.2.ba.b.59.21 | yes | 80 | 5.4 | even | 2 | inner | |
280.2.ba.b.59.33 | yes | 80 | 8.3 | odd | 2 | inner | |
1120.2.bq.b.719.19 | 80 | 28.19 | even | 6 | |||
1120.2.bq.b.719.20 | 80 | 56.5 | odd | 6 | |||
1120.2.bq.b.719.21 | 80 | 280.229 | odd | 6 | |||
1120.2.bq.b.719.22 | 80 | 140.19 | even | 6 | |||
1120.2.bq.b.1039.19 | 80 | 40.29 | even | 2 | |||
1120.2.bq.b.1039.20 | 80 | 20.19 | odd | 2 | |||
1120.2.bq.b.1039.21 | 80 | 4.3 | odd | 2 | |||
1120.2.bq.b.1039.22 | 80 | 8.5 | even | 2 |