Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [315,2,Mod(92,315)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(315, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([2, 3, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("315.92");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 315 = 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 315.cc (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: | \(2.51528766367\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 92.10 | ||
Character | \(\chi\) | \(=\) | 315.92 |
Dual form | 315.2.cc.a.113.10 |
$q$-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 \(\left(\mathbb{Z}/315\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(136\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.352695 | − | 1.31628i | −0.249393 | − | 0.930748i | −0.971124 | − | 0.238574i | \(-0.923320\pi\) |
0.721731 | − | 0.692174i | \(-0.243347\pi\) | |||||||
\(3\) | −0.672895 | − | 1.59600i | −0.388496 | − | 0.921450i | ||||
\(4\) | 0.123861 | − | 0.0715111i | 0.0619305 | − | 0.0357556i | ||||
\(5\) | −0.441766 | − | 2.19200i | −0.197564 | − | 0.980290i | ||||
\(6\) | −1.86345 | + | 1.44862i | −0.760750 | + | 0.591396i | ||||
\(7\) | −0.965926 | + | 0.258819i | −0.365086 | + | 0.0978244i | ||||
\(8\) | −2.06498 | − | 2.06498i | −0.730079 | − | 0.730079i | ||||
\(9\) | −2.09442 | + | 2.14788i | −0.698141 | + | 0.715960i | ||||
\(10\) | −2.72946 | + | 1.35459i | −0.863132 | + | 0.428360i | ||||
\(11\) | 0.158548 | + | 0.0915380i | 0.0478042 | + | 0.0275997i | 0.523712 | − | 0.851896i | \(-0.324547\pi\) |
−0.475907 | + | 0.879495i | \(0.657880\pi\) | |||||||
\(12\) | −0.197477 | − | 0.149562i | −0.0570067 | − | 0.0431749i | ||||
\(13\) | 3.39699 | + | 0.910219i | 0.942154 | + | 0.252449i | 0.697030 | − | 0.717042i | \(-0.254505\pi\) |
0.245124 | + | 0.969492i | \(0.421171\pi\) | |||||||
\(14\) | 0.681355 | + | 1.18014i | 0.182100 | + | 0.315406i | ||||
\(15\) | −3.20116 | + | 2.18004i | −0.826536 | + | 0.562884i | ||||
\(16\) | −1.84675 | + | 3.19866i | −0.461688 | + | 0.799666i | ||||
\(17\) | 1.38265 | − | 1.38265i | 0.335342 | − | 0.335342i | −0.519269 | − | 0.854611i | \(-0.673796\pi\) |
0.854611 | + | 0.519269i | \(0.173796\pi\) | |||||||
\(18\) | 3.56590 | + | 1.99929i | 0.840490 | + | 0.471238i | ||||
\(19\) | − | 1.45904i | − | 0.334727i | −0.985895 | − | 0.167364i | \(-0.946475\pi\) | ||
0.985895 | − | 0.167364i | \(-0.0535254\pi\) | |||||||
\(20\) | −0.211470 | − | 0.239911i | −0.0472861 | − | 0.0536458i | ||||
\(21\) | 1.06304 | + | 1.36746i | 0.231975 | + | 0.298404i | ||||
\(22\) | 0.0645700 | − | 0.240979i | 0.0137664 | − | 0.0513768i | ||||
\(23\) | 1.47404 | − | 5.50117i | 0.307358 | − | 1.14707i | −0.623539 | − | 0.781792i | \(-0.714306\pi\) |
0.930897 | − | 0.365282i | \(-0.119028\pi\) | |||||||
\(24\) | −1.90619 | + | 4.68521i | −0.389099 | + | 0.956365i | ||||
\(25\) | −4.60969 | + | 1.93670i | −0.921937 | + | 0.387340i | ||||
\(26\) | − | 4.79240i | − | 0.939867i | ||||||
\(27\) | 4.83734 | + | 1.89740i | 0.930947 | + | 0.365154i | ||||
\(28\) | −0.101132 | + | 0.101132i | −0.0191122 | + | 0.0191122i | ||||
\(29\) | −4.54468 | + | 7.87162i | −0.843926 | + | 1.46172i | 0.0426239 | + | 0.999091i | \(0.486428\pi\) |
−0.886550 | + | 0.462632i | \(0.846905\pi\) | |||||||
\(30\) | 3.99857 | + | 3.44472i | 0.730036 | + | 0.628917i | ||||
\(31\) | 1.88724 | + | 3.26879i | 0.338958 | + | 0.587092i | 0.984237 | − | 0.176855i | \(-0.0565923\pi\) |
−0.645279 | + | 0.763947i | \(0.723259\pi\) | |||||||
\(32\) | −0.779952 | − | 0.208988i | −0.137877 | − | 0.0369441i | ||||
\(33\) | 0.0394080 | − | 0.314639i | 0.00686005 | − | 0.0547716i | ||||
\(34\) | −2.30761 | − | 1.33230i | −0.395751 | − | 0.228487i | ||||
\(35\) | 0.994044 | + | 2.00297i | 0.168024 | + | 0.338563i | ||||
\(36\) | −0.105820 | + | 0.415813i | −0.0176366 | + | 0.0693022i | ||||
\(37\) | −3.48013 | − | 3.48013i | −0.572130 | − | 0.572130i | 0.360593 | − | 0.932723i | \(-0.382574\pi\) |
−0.932723 | + | 0.360593i | \(0.882574\pi\) | |||||||
\(38\) | −1.92050 | + | 0.514598i | −0.311547 | + | 0.0834788i | ||||
\(39\) | −0.833107 | − | 6.03407i | −0.133404 | − | 0.966224i | ||||
\(40\) | −3.61418 | + | 5.43865i | −0.571452 | + | 0.859927i | ||||
\(41\) | 6.39810 | − | 3.69394i | 0.999215 | − | 0.576897i | 0.0911992 | − | 0.995833i | \(-0.470930\pi\) |
0.908016 | + | 0.418936i | \(0.137597\pi\) | |||||||
\(42\) | 1.42502 | − | 1.88155i | 0.219886 | − | 0.290330i | ||||
\(43\) | 0.0844810 | + | 0.315287i | 0.0128832 | + | 0.0480809i | 0.972068 | − | 0.234698i | \(-0.0754103\pi\) |
−0.959185 | + | 0.282779i | \(0.908744\pi\) | |||||||
\(44\) | 0.0261839 | 0.00394738 | ||||||||
\(45\) | 5.63339 | + | 3.64210i | 0.839776 | + | 0.542933i | ||||
\(46\) | −7.76095 | −1.14429 | ||||||||
\(47\) | −3.12468 | − | 11.6614i | −0.455781 | − | 1.70100i | −0.685782 | − | 0.727807i | \(-0.740540\pi\) |
0.230002 | − | 0.973190i | \(-0.426127\pi\) | |||||||
\(48\) | 6.34773 | + | 0.795044i | 0.916217 | + | 0.114755i | ||||
\(49\) | 0.866025 | − | 0.500000i | 0.123718 | − | 0.0714286i | ||||
\(50\) | 4.17505 | + | 5.38456i | 0.590441 | + | 0.761491i | ||||
\(51\) | −3.13709 | − | 1.27633i | −0.439281 | − | 0.178722i | ||||
\(52\) | 0.485845 | − | 0.130182i | 0.0673745 | − | 0.0180529i | ||||
\(53\) | 2.57090 | + | 2.57090i | 0.353141 | + | 0.353141i | 0.861277 | − | 0.508136i | \(-0.169665\pi\) |
−0.508136 | + | 0.861277i | \(0.669665\pi\) | |||||||
\(54\) | 0.791393 | − | 7.03648i | 0.107695 | − | 0.957544i | ||||
\(55\) | 0.130609 | − | 0.387976i | 0.0176114 | − | 0.0523147i | ||||
\(56\) | 2.52907 | + | 1.46016i | 0.337961 | + | 0.195122i | ||||
\(57\) | −2.32863 | + | 0.981784i | −0.308435 | + | 0.130040i | ||||
\(58\) | 11.9641 | + | 3.20578i | 1.57097 | + | 0.420939i | ||||
\(59\) | −0.942273 | − | 1.63206i | −0.122674 | − | 0.212477i | 0.798148 | − | 0.602462i | \(-0.205813\pi\) |
−0.920821 | + | 0.389985i | \(0.872480\pi\) | |||||||
\(60\) | −0.240601 | + | 0.498941i | −0.0310615 | + | 0.0644129i | ||||
\(61\) | 5.43752 | − | 9.41806i | 0.696203 | − | 1.20586i | −0.273571 | − | 0.961852i | \(-0.588205\pi\) |
0.969774 | − | 0.244007i | \(-0.0784619\pi\) | |||||||
\(62\) | 3.63701 | − | 3.63701i | 0.461901 | − | 0.461901i | ||||
\(63\) | 1.46715 | − | 2.61677i | 0.184843 | − | 0.329682i | ||||
\(64\) | 8.48734i | 1.06092i | ||||||||
\(65\) | 0.494523 | − | 7.84828i | 0.0613380 | − | 0.973459i | ||||
\(66\) | −0.428050 | + | 0.0590997i | −0.0526894 | + | 0.00727467i | ||||
\(67\) | 3.33370 | − | 12.4415i | 0.407277 | − | 1.51998i | −0.392541 | − | 0.919734i | \(-0.628404\pi\) |
0.799818 | − | 0.600243i | \(-0.204929\pi\) | |||||||
\(68\) | 0.0723815 | − | 0.270132i | 0.00877755 | − | 0.0327583i | ||||
\(69\) | −9.77174 | + | 1.34916i | −1.17638 | + | 0.162419i | ||||
\(70\) | 2.28586 | − | 2.01487i | 0.273213 | − | 0.240823i | ||||
\(71\) | − | 7.67717i | − | 0.911112i | −0.890207 | − | 0.455556i | \(-0.849440\pi\) | ||
0.890207 | − | 0.455556i | \(-0.150560\pi\) | |||||||
\(72\) | 8.76026 | − | 0.110387i | 1.03241 | − | 0.0130092i | ||||
\(73\) | −6.71246 | + | 6.71246i | −0.785634 | + | 0.785634i | −0.980775 | − | 0.195141i | \(-0.937484\pi\) |
0.195141 | + | 0.980775i | \(0.437484\pi\) | |||||||
\(74\) | −3.35339 | + | 5.80824i | −0.389824 | + | 0.675194i | ||||
\(75\) | 6.19281 | + | 6.05386i | 0.715084 | + | 0.699039i | ||||
\(76\) | −0.104338 | − | 0.180718i | −0.0119684 | − | 0.0207298i | ||||
\(77\) | −0.176838 | − | 0.0473836i | −0.0201525 | − | 0.00539986i | ||||
\(78\) | −7.64867 | + | 3.22479i | −0.866041 | + | 0.365135i | ||||
\(79\) | −0.0598459 | − | 0.0345520i | −0.00673319 | − | 0.00388741i | 0.496630 | − | 0.867963i | \(-0.334571\pi\) |
−0.503363 | + | 0.864075i | \(0.667904\pi\) | |||||||
\(80\) | 7.82729 | + | 2.63500i | 0.875118 | + | 0.294602i | ||||
\(81\) | −0.226780 | − | 8.99714i | −0.0251978 | − | 0.999682i | ||||
\(82\) | −7.11883 | − | 7.11883i | −0.786143 | − | 0.786143i | ||||
\(83\) | −10.8877 | + | 2.91735i | −1.19508 | + | 0.320221i | −0.800892 | − | 0.598809i | \(-0.795641\pi\) |
−0.394188 | + | 0.919030i | \(0.628974\pi\) | |||||||
\(84\) | 0.229458 | + | 0.0933553i | 0.0250359 | + | 0.0101859i | ||||
\(85\) | −3.64158 | − | 2.41996i | −0.394984 | − | 0.262481i | ||||
\(86\) | 0.385209 | − | 0.222401i | 0.0415382 | − | 0.0239821i | ||||
\(87\) | 15.6212 | + | 1.95653i | 1.67477 | + | 0.209762i | ||||
\(88\) | −0.138375 | − | 0.516423i | −0.0147508 | − | 0.0550508i | ||||
\(89\) | 17.3034 | 1.83416 | 0.917079 | − | 0.398706i | \(-0.130541\pi\) | ||||
0.917079 | + | 0.398706i | \(0.130541\pi\) | |||||||
\(90\) | 2.80715 | − | 8.69965i | 0.295899 | − | 0.917024i | ||||
\(91\) | −3.51682 | −0.368663 | ||||||||
\(92\) | −0.210820 | − | 0.786791i | −0.0219795 | − | 0.0820286i | ||||
\(93\) | 3.94707 | − | 5.21158i | 0.409292 | − | 0.540416i | ||||
\(94\) | −14.2476 | + | 8.22587i | −1.46953 | + | 0.848434i | ||||
\(95\) | −3.19822 | + | 0.644556i | −0.328130 | + | 0.0661301i | ||||
\(96\) | 0.191282 | + | 1.38543i | 0.0195227 | + | 0.141400i | ||||
\(97\) | 9.28455 | − | 2.48779i | 0.942703 | − | 0.252596i | 0.245440 | − | 0.969412i | \(-0.421068\pi\) |
0.697263 | + | 0.716815i | \(0.254401\pi\) | |||||||
\(98\) | −0.963581 | − | 0.963581i | −0.0973364 | − | 0.0973364i | ||||
\(99\) | −0.528680 | + | 0.148824i | −0.0531344 | + | 0.0149574i | ||||
\(100\) | −0.432464 | + | 0.569525i | −0.0432464 | + | 0.0569525i | ||||
\(101\) | 3.74683 | + | 2.16323i | 0.372823 | + | 0.215250i | 0.674691 | − | 0.738100i | \(-0.264277\pi\) |
−0.301868 | + | 0.953350i | \(0.597610\pi\) | |||||||
\(102\) | −0.573567 | + | 4.57943i | −0.0567916 | + | 0.453432i | ||||
\(103\) | 13.2061 | + | 3.53856i | 1.30123 | + | 0.348665i | 0.841917 | − | 0.539607i | \(-0.181427\pi\) |
0.459318 | + | 0.888272i | \(0.348094\pi\) | |||||||
\(104\) | −5.13511 | − | 8.89427i | −0.503539 | − | 0.872155i | ||||
\(105\) | 2.52785 | − | 2.93428i | 0.246692 | − | 0.286356i | ||||
\(106\) | 2.47727 | − | 4.29077i | 0.240614 | − | 0.416756i | ||||
\(107\) | −7.08139 | + | 7.08139i | −0.684584 | + | 0.684584i | −0.961030 | − | 0.276446i | \(-0.910843\pi\) |
0.276446 | + | 0.961030i | \(0.410843\pi\) | |||||||
\(108\) | 0.734843 | − | 0.110910i | 0.0707103 | − | 0.0106724i | ||||
\(109\) | 2.05188i | 0.196535i | 0.995160 | + | 0.0982673i | \(0.0313300\pi\) | ||||
−0.995160 | + | 0.0982673i | \(0.968670\pi\) | |||||||
\(110\) | −0.556749 | − | 0.0350809i | −0.0530839 | − | 0.00334484i | ||||
\(111\) | −3.21252 | + | 7.89605i | −0.304919 | + | 0.749460i | ||||
\(112\) | 0.955948 | − | 3.56765i | 0.0903286 | − | 0.337111i | ||||
\(113\) | −1.71126 | + | 6.38650i | −0.160982 | + | 0.600791i | 0.837537 | + | 0.546380i | \(0.183995\pi\) |
−0.998519 | + | 0.0544108i | \(0.982672\pi\) | |||||||
\(114\) | 2.11360 | + | 2.71885i | 0.197956 | + | 0.254644i | ||||
\(115\) | −12.7097 | − | 0.800844i | −1.18519 | − | 0.0746791i | ||||
\(116\) | 1.29998i | 0.120700i | ||||||||
\(117\) | −9.06977 | + | 5.38993i | −0.838500 | + | 0.498299i | ||||
\(118\) | −1.81591 | + | 1.81591i | −0.167168 | + | 0.167168i | ||||
\(119\) | −0.977683 | + | 1.69340i | −0.0896240 | + | 0.155233i | ||||
\(120\) | 11.1121 | + | 2.10858i | 1.01439 | + | 0.192486i | ||||
\(121\) | −5.48324 | − | 9.49725i | −0.498477 | − | 0.863387i | ||||
\(122\) | −14.3146 | − | 3.83557i | −1.29598 | − | 0.347256i | ||||
\(123\) | −10.2008 | − | 7.72572i | −0.919773 | − | 0.696605i | ||||
\(124\) | 0.467510 | + | 0.269917i | 0.0419836 | + | 0.0242392i | ||||
\(125\) | 6.28164 | + | 9.24884i | 0.561847 | + | 0.827241i | ||||
\(126\) | −3.96185 | − | 1.00825i | −0.352949 | − | 0.0898218i | ||||
\(127\) | 3.63437 | + | 3.63437i | 0.322498 | + | 0.322498i | 0.849725 | − | 0.527227i | \(-0.176768\pi\) |
−0.527227 | + | 0.849725i | \(0.676768\pi\) | |||||||
\(128\) | 9.61178 | − | 2.57547i | 0.849570 | − | 0.227642i | ||||
\(129\) | 0.446351 | − | 0.346987i | 0.0392991 | − | 0.0305505i | ||||
\(130\) | −10.5049 | + | 2.11712i | −0.921343 | + | 0.185684i | ||||
\(131\) | −3.48450 | + | 2.01178i | −0.304442 | + | 0.175770i | −0.644437 | − | 0.764658i | \(-0.722908\pi\) |
0.339994 | + | 0.940427i | \(0.389575\pi\) | |||||||
\(132\) | −0.0176191 | − | 0.0417895i | −0.00153354 | − | 0.00363731i | ||||
\(133\) | 0.377628 | + | 1.40933i | 0.0327445 | + | 0.122204i | ||||
\(134\) | −17.5523 | −1.51629 | ||||||||
\(135\) | 2.02211 | − | 11.4416i | 0.174036 | − | 0.984739i | ||||
\(136\) | −5.71029 | −0.489653 | ||||||||
\(137\) | 5.58973 | + | 20.8612i | 0.477563 | + | 1.78229i | 0.611440 | + | 0.791291i | \(0.290591\pi\) |
−0.133877 | + | 0.990998i | \(0.542743\pi\) | |||||||
\(138\) | 5.22231 | + | 12.3865i | 0.444552 | + | 1.05441i | ||||
\(139\) | 11.6517 | − | 6.72709i | 0.988280 | − | 0.570584i | 0.0835205 | − | 0.996506i | \(-0.473384\pi\) |
0.904760 | + | 0.425922i | \(0.140050\pi\) | |||||||
\(140\) | 0.266358 | + | 0.177004i | 0.0225113 | + | 0.0149596i | ||||
\(141\) | −16.5091 | + | 12.8339i | −1.39031 | + | 1.08081i | ||||
\(142\) | −10.1053 | + | 2.70770i | −0.848016 | + | 0.227225i | ||||
\(143\) | 0.455267 | + | 0.455267i | 0.0380713 | + | 0.0380713i | ||||
\(144\) | −3.00247 | − | 10.6660i | −0.250206 | − | 0.888830i | ||||
\(145\) | 19.2622 | + | 6.48450i | 1.59964 | + | 0.538509i | ||||
\(146\) | 11.2029 | + | 6.46800i | 0.927159 | + | 0.535296i | ||||
\(147\) | −1.38074 | − | 1.04573i | −0.113882 | − | 0.0862502i | ||||
\(148\) | −0.679921 | − | 0.182184i | −0.0558891 | − | 0.0149754i | ||||
\(149\) | 6.08064 | + | 10.5320i | 0.498146 | + | 0.862814i | 0.999998 | − | 0.00213984i | \(-0.000681133\pi\) |
−0.501852 | + | 0.864954i | \(0.667348\pi\) | |||||||
\(150\) | 5.78437 | − | 10.2866i | 0.472292 | − | 0.839898i | ||||
\(151\) | 7.20688 | − | 12.4827i | 0.586488 | − | 1.01583i | −0.408201 | − | 0.912892i | \(-0.633844\pi\) |
0.994688 | − | 0.102934i | \(-0.0328231\pi\) | |||||||
\(152\) | −3.01289 | + | 3.01289i | −0.244378 | + | 0.244378i | ||||
\(153\) | 0.0739122 | + | 5.86563i | 0.00597544 | + | 0.474208i | ||||
\(154\) | 0.249479i | 0.0201036i | ||||||||
\(155\) | 6.33145 | − | 5.58085i | 0.508554 | − | 0.448265i | ||||
\(156\) | −0.534692 | − | 0.687809i | −0.0428096 | − | 0.0550688i | ||||
\(157\) | −4.17242 | + | 15.5717i | −0.332995 | + | 1.24275i | 0.573031 | + | 0.819533i | \(0.305767\pi\) |
−0.906026 | + | 0.423221i | \(0.860899\pi\) | |||||||
\(158\) | −0.0243727 | + | 0.0909601i | −0.00193899 | + | 0.00723639i | ||||
\(159\) | 2.37321 | − | 5.83311i | 0.188208 | − | 0.462596i | ||||
\(160\) | −0.113543 | + | 1.80198i | −0.00897637 | + | 0.142459i | ||||
\(161\) | 5.69524i | 0.448847i | ||||||||
\(162\) | −11.7627 | + | 3.47175i | −0.924168 | + | 0.272767i | ||||
\(163\) | −0.640110 | + | 0.640110i | −0.0501373 | + | 0.0501373i | −0.731731 | − | 0.681594i | \(-0.761287\pi\) |
0.681594 | + | 0.731731i | \(0.261287\pi\) | |||||||
\(164\) | 0.528316 | − | 0.915071i | 0.0412546 | − | 0.0714550i | ||||
\(165\) | −0.707095 | + | 0.0526146i | −0.0550473 | + | 0.00409604i | ||||
\(166\) | 7.68008 | + | 13.3023i | 0.596090 | + | 1.03246i | ||||
\(167\) | −8.47961 | − | 2.27211i | −0.656172 | − | 0.175821i | −0.0846543 | − | 0.996410i | \(-0.526979\pi\) |
−0.571518 | + | 0.820590i | \(0.693645\pi\) | |||||||
\(168\) | 0.628612 | − | 5.01892i | 0.0484985 | − | 0.387218i | ||||
\(169\) | −0.547322 | − | 0.315997i | −0.0421017 | − | 0.0243074i | ||||
\(170\) | −1.90097 | + | 5.64683i | −0.145797 | + | 0.433092i | ||||
\(171\) | 3.13385 | + | 3.05585i | 0.239652 | + | 0.233687i | ||||
\(172\) | 0.0330105 | + | 0.0330105i | 0.00251702 | + | 0.00251702i | ||||
\(173\) | −14.7364 | + | 3.94862i | −1.12039 | + | 0.300208i | −0.771042 | − | 0.636785i | \(-0.780264\pi\) |
−0.349349 | + | 0.936993i | \(0.613597\pi\) | |||||||
\(174\) | −2.93419 | − | 21.2519i | −0.222440 | − | 1.61110i | ||||
\(175\) | 3.95136 | − | 3.06378i | 0.298695 | − | 0.231600i | ||||
\(176\) | −0.585599 | + | 0.338096i | −0.0441412 | + | 0.0254849i | ||||
\(177\) | −1.97072 | + | 2.60208i | −0.148129 | + | 0.195584i | ||||
\(178\) | −6.10283 | − | 22.7761i | −0.457426 | − | 1.70714i | ||||
\(179\) | 0.441944 | 0.0330325 | 0.0165162 | − | 0.999864i | \(-0.494742\pi\) | ||||
0.0165162 | + | 0.999864i | \(0.494742\pi\) | |||||||
\(180\) | 0.958208 | + | 0.0482644i | 0.0714206 | + | 0.00359742i | ||||
\(181\) | 13.3171 | 0.989854 | 0.494927 | − | 0.868935i | \(-0.335195\pi\) | ||||
0.494927 | + | 0.868935i | \(0.335195\pi\) | |||||||
\(182\) | 1.24036 | + | 4.62910i | 0.0919420 | + | 0.343132i | ||||
\(183\) | −18.6901 | − | 2.34090i | −1.38161 | − | 0.173045i | ||||
\(184\) | −14.4036 | + | 8.31595i | −1.06185 | + | 0.613060i | ||||
\(185\) | −6.09103 | + | 9.16584i | −0.447821 | + | 0.673886i | ||||
\(186\) | −8.25199 | − | 3.35734i | −0.605065 | − | 0.246172i | ||||
\(187\) | 0.345783 | − | 0.0926521i | 0.0252861 | − | 0.00677540i | ||||
\(188\) | −1.22095 | − | 1.22095i | −0.0890468 | − | 0.0890468i | ||||
\(189\) | −5.16360 | − | 0.580750i | −0.375596 | − | 0.0422433i | ||||
\(190\) | 1.97641 | + | 3.98240i | 0.143384 | + | 0.288914i | ||||
\(191\) | −6.57188 | − | 3.79428i | −0.475525 | − | 0.274544i | 0.243025 | − | 0.970020i | \(-0.421860\pi\) |
−0.718550 | + | 0.695476i | \(0.755194\pi\) | |||||||
\(192\) | 13.5458 | − | 5.71109i | 0.977583 | − | 0.412163i | ||||
\(193\) | 21.8356 | + | 5.85082i | 1.57176 | + | 0.421152i | 0.936362 | − | 0.351035i | \(-0.114170\pi\) |
0.635396 | + | 0.772186i | \(0.280837\pi\) | |||||||
\(194\) | −6.54923 | − | 11.3436i | −0.470207 | − | 0.814423i | ||||
\(195\) | −12.8586 | + | 4.49181i | −0.920824 | + | 0.321665i | ||||
\(196\) | 0.0715111 | − | 0.123861i | 0.00510794 | − | 0.00884721i | ||||
\(197\) | −8.54290 | + | 8.54290i | −0.608656 | + | 0.608656i | −0.942595 | − | 0.333938i | \(-0.891622\pi\) |
0.333938 | + | 0.942595i | \(0.391622\pi\) | |||||||
\(198\) | 0.382356 | + | 0.643400i | 0.0271729 | + | 0.0457244i | ||||
\(199\) | − | 18.7301i | − | 1.32775i | −0.747846 | − | 0.663873i | \(-0.768912\pi\) | ||
0.747846 | − | 0.663873i | \(-0.231088\pi\) | |||||||
\(200\) | 13.5181 | + | 5.51965i | 0.955876 | + | 0.390298i | ||||
\(201\) | −22.0999 | + | 3.05128i | −1.55881 | + | 0.215220i | ||||
\(202\) | 1.52592 | − | 5.69482i | 0.107364 | − | 0.400686i | ||||
\(203\) | 2.35250 | − | 8.77965i | 0.165113 | − | 0.616211i | ||||
\(204\) | −0.479835 | + | 0.0662495i | −0.0335952 | + | 0.00463839i | ||||
\(205\) | −10.9236 | − | 12.3927i | −0.762935 | − | 0.865547i | ||||
\(206\) | − | 18.6309i | − | 1.29808i | ||||||
\(207\) | 8.72861 | + | 14.6878i | 0.606680 | + | 1.02088i | ||||
\(208\) | −9.18487 | + | 9.18487i | −0.636856 | + | 0.636856i | ||||
\(209\) | 0.133558 | − | 0.231329i | 0.00923839 | − | 0.0160014i | ||||
\(210\) | −4.75388 | − | 2.29244i | −0.328049 | − | 0.158193i | ||||
\(211\) | 2.37164 | + | 4.10781i | 0.163271 | + | 0.282793i | 0.936040 | − | 0.351894i | \(-0.114462\pi\) |
−0.772769 | + | 0.634687i | \(0.781129\pi\) | |||||||
\(212\) | 0.502283 | + | 0.134586i | 0.0344969 | + | 0.00924342i | ||||
\(213\) | −12.2527 | + | 5.16593i | −0.839544 | + | 0.353964i | ||||
\(214\) | 11.8186 | + | 6.82349i | 0.807906 | + | 0.466444i | ||||
\(215\) | 0.653788 | − | 0.324465i | 0.0445880 | − | 0.0221284i | ||||
\(216\) | −6.07091 | − | 13.9071i | −0.413073 | − | 0.946257i | ||||
\(217\) | −2.66895 | − | 2.66895i | −0.181180 | − | 0.181180i | ||||
\(218\) | 2.70084 | − | 0.723689i | 0.182924 | − | 0.0490144i | ||||
\(219\) | 15.2299 | + | 6.19629i | 1.02914 | + | 0.418707i | ||||
\(220\) | −0.0115672 | − | 0.0573951i | −0.000779860 | − | 0.00386958i | ||||
\(221\) | 5.95536 | − | 3.43833i | 0.400601 | − | 0.231287i | ||||
\(222\) | 11.5264 | + | 1.44367i | 0.773603 | + | 0.0968926i | ||||
\(223\) | 1.31473 | + | 4.90663i | 0.0880407 | + | 0.328572i | 0.995873 | − | 0.0907619i | \(-0.0289302\pi\) |
−0.907832 | + | 0.419334i | \(0.862264\pi\) | |||||||
\(224\) | 0.807466 | 0.0539511 | ||||||||
\(225\) | 5.49483 | − | 13.9573i | 0.366322 | − | 0.930488i | ||||
\(226\) | 9.00995 | 0.599333 | ||||||||
\(227\) | −3.71343 | − | 13.8587i | −0.246469 | − | 0.919834i | −0.972640 | − | 0.232319i | \(-0.925369\pi\) |
0.726171 | − | 0.687514i | \(-0.241298\pi\) | |||||||
\(228\) | −0.218218 | + | 0.288128i | −0.0144518 | + | 0.0190817i | ||||
\(229\) | −2.97696 | + | 1.71875i | −0.196723 | + | 0.113578i | −0.595126 | − | 0.803632i | \(-0.702898\pi\) |
0.398403 | + | 0.917210i | \(0.369565\pi\) | |||||||
\(230\) | 3.42853 | + | 17.0120i | 0.226070 | + | 1.12174i | ||||
\(231\) | 0.0433693 | + | 0.314117i | 0.00285349 | + | 0.0206674i | ||||
\(232\) | 25.6394 | − | 6.87005i | 1.68331 | − | 0.451041i | ||||
\(233\) | −1.71635 | − | 1.71635i | −0.112442 | − | 0.112442i | 0.648647 | − | 0.761089i | \(-0.275335\pi\) |
−0.761089 | + | 0.648647i | \(0.775335\pi\) | |||||||
\(234\) | 10.2935 | + | 10.0373i | 0.672907 | + | 0.656160i | ||||
\(235\) | −24.1815 | + | 12.0009i | −1.57742 | + | 0.782853i | ||||
\(236\) | −0.233422 | − | 0.134766i | −0.0151945 | − | 0.00877252i | ||||
\(237\) | −0.0148750 | + | 0.118764i | −0.000966234 | + | 0.00771454i | ||||
\(238\) | 2.57380 | + | 0.689648i | 0.166835 | + | 0.0447032i | ||||
\(239\) | 13.5506 | + | 23.4703i | 0.876513 | + | 1.51817i | 0.855142 | + | 0.518394i | \(0.173470\pi\) |
0.0213715 | + | 0.999772i | \(0.493197\pi\) | |||||||
\(240\) | −1.06148 | − | 14.2654i | −0.0685185 | − | 0.920829i | ||||
\(241\) | −6.13250 | + | 10.6218i | −0.395029 | + | 0.684211i | −0.993105 | − | 0.117229i | \(-0.962599\pi\) |
0.598076 | + | 0.801440i | \(0.295932\pi\) | |||||||
\(242\) | −10.5671 | + | 10.5671i | −0.679279 | + | 0.679279i | ||||
\(243\) | −14.2068 | + | 6.41608i | −0.911368 | + | 0.411591i | ||||
\(244\) | − | 1.55537i | − | 0.0995725i | ||||||
\(245\) | −1.47858 | − | 1.67744i | −0.0944629 | − | 0.107168i | ||||
\(246\) | −6.57142 | + | 16.1519i | −0.418978 | + | 1.02981i | ||||
\(247\) | 1.32805 | − | 4.95635i | 0.0845018 | − | 0.315365i | ||||
\(248\) | 2.85287 | − | 10.6471i | 0.181158 | − | 0.676090i | ||||
\(249\) | 11.9824 | + | 15.4137i | 0.759352 | + | 0.976802i | ||||
\(250\) | 9.95852 | − | 11.5304i | 0.629832 | − | 0.729246i | ||||
\(251\) | 1.18960i | 0.0750869i | 0.999295 | + | 0.0375434i | \(0.0119533\pi\) | ||||
−0.999295 | + | 0.0375434i | \(0.988047\pi\) | |||||||
\(252\) | −0.00540620 | − | 0.429033i | −0.000340558 | − | 0.0270265i | ||||
\(253\) | 0.737273 | − | 0.737273i | 0.0463519 | − | 0.0463519i | ||||
\(254\) | 3.50201 | − | 6.06565i | 0.219735 | − | 0.380593i | ||||
\(255\) | −1.41185 | + | 7.44033i | −0.0884134 | + | 0.465931i | ||||
\(256\) | 1.70728 | + | 2.95710i | 0.106705 | + | 0.184819i | ||||
\(257\) | 5.43112 | + | 1.45527i | 0.338784 | + | 0.0907769i | 0.424200 | − | 0.905568i | \(-0.360555\pi\) |
−0.0854160 | + | 0.996345i | \(0.527222\pi\) | |||||||
\(258\) | −0.614157 | − | 0.465141i | −0.0382357 | − | 0.0289584i | ||||
\(259\) | 4.26227 | + | 2.46082i | 0.264845 | + | 0.152908i | ||||
\(260\) | −0.499987 | − | 1.00746i | −0.0310079 | − | 0.0624800i | ||||
\(261\) | −7.38881 | − | 26.2479i | −0.457356 | − | 1.62471i | ||||
\(262\) | 3.87702 | + | 3.87702i | 0.239523 | + | 0.239523i | ||||
\(263\) | −2.62386 | + | 0.703061i | −0.161794 | + | 0.0433526i | −0.338807 | − | 0.940856i | \(-0.610023\pi\) |
0.177013 | + | 0.984209i | \(0.443357\pi\) | |||||||
\(264\) | −0.731098 | + | 0.568345i | −0.0449960 | + | 0.0349792i | ||||
\(265\) | 4.49967 | − | 6.77115i | 0.276413 | − | 0.415948i | ||||
\(266\) | 1.72188 | − | 0.994126i | 0.105575 | − | 0.0609538i | ||||
\(267\) | −11.6434 | − | 27.6162i | −0.712564 | − | 1.69009i | ||||
\(268\) | −0.476794 | − | 1.77942i | −0.0291248 | − | 0.108695i | ||||
\(269\) | −6.36961 | −0.388362 | −0.194181 | − | 0.980966i | \(-0.562205\pi\) | ||||
−0.194181 | + | 0.980966i | \(0.562205\pi\) | |||||||
\(270\) | −15.7735 | + | 1.37375i | −0.959948 | + | 0.0836038i | ||||
\(271\) | 22.8991 | 1.39102 | 0.695511 | − | 0.718516i | \(-0.255178\pi\) | ||||
0.695511 | + | 0.718516i | \(0.255178\pi\) | |||||||
\(272\) | 1.86923 | + | 6.97605i | 0.113339 | + | 0.422985i | ||||
\(273\) | 2.36645 | + | 5.61284i | 0.143224 | + | 0.339704i | ||||
\(274\) | 25.4876 | − | 14.7153i | 1.53976 | − | 0.888981i | ||||
\(275\) | −0.908140 | − | 0.114901i | −0.0547629 | − | 0.00692877i | ||||
\(276\) | −1.11386 | + | 0.865896i | −0.0670463 | + | 0.0521208i | ||||
\(277\) | 19.6129 | − | 5.25525i | 1.17842 | − | 0.315757i | 0.384122 | − | 0.923283i | \(-0.374504\pi\) |
0.794300 | + | 0.607525i | \(0.207838\pi\) | |||||||
\(278\) | −12.9642 | − | 12.9642i | −0.777540 | − | 0.777540i | ||||
\(279\) | −10.9736 | − | 2.79267i | −0.656975 | − | 0.167193i | ||||
\(280\) | 2.08340 | − | 6.18876i | 0.124507 | − | 0.369849i | ||||
\(281\) | 16.1738 | + | 9.33795i | 0.964849 | + | 0.557056i | 0.897662 | − | 0.440685i | \(-0.145264\pi\) |
0.0671868 | + | 0.997740i | \(0.478598\pi\) | |||||||
\(282\) | 22.7156 | + | 17.2040i | 1.35270 | + | 1.02449i | ||||
\(283\) | 18.8480 | + | 5.05030i | 1.12040 | + | 0.300209i | 0.771044 | − | 0.636782i | \(-0.219735\pi\) |
0.349352 | + | 0.936991i | \(0.386402\pi\) | |||||||
\(284\) | −0.549003 | − | 0.950901i | −0.0325773 | − | 0.0564256i | ||||
\(285\) | 3.18078 | + | 4.67063i | 0.188413 | + | 0.276664i | ||||
\(286\) | 0.438687 | − | 0.759828i | 0.0259401 | − | 0.0449296i | ||||
\(287\) | −5.22403 | + | 5.22403i | −0.308365 | + | 0.308365i | ||||
\(288\) | 2.08243 | − | 1.23754i | 0.122708 | − | 0.0729225i | ||||
\(289\) | 13.1765i | 0.775091i | ||||||||
\(290\) | 1.74170 | − | 27.6415i | 0.102276 | − | 1.62316i | ||||
\(291\) | −10.2180 | − | 13.1441i | −0.598992 | − | 0.770521i | ||||
\(292\) | −0.351396 | + | 1.31143i | −0.0205639 | + | 0.0767455i | ||||
\(293\) | 5.66448 | − | 21.1401i | 0.330923 | − | 1.23502i | −0.577300 | − | 0.816532i | \(-0.695894\pi\) |
0.908222 | − | 0.418488i | \(-0.137440\pi\) | |||||||
\(294\) | −0.889485 | + | 2.18626i | −0.0518758 | + | 0.127505i | ||||
\(295\) | −3.16121 | + | 2.78645i | −0.184053 | + | 0.162233i | ||||
\(296\) | 14.3728i | 0.835401i | ||||||||
\(297\) | 0.593269 | + | 0.743630i | 0.0344250 | + | 0.0431498i | ||||
\(298\) | 11.7184 | − | 11.7184i | 0.678828 | − | 0.678828i | ||||
\(299\) | 10.0146 | − | 17.3457i | 0.579157 | − | 1.00313i | ||||
\(300\) | 1.19996 | + | 0.306982i | 0.0692800 | + | 0.0177236i | ||||
\(301\) | −0.163205 | − | 0.282679i | −0.00940697 | − | 0.0162933i | ||||
\(302\) | −18.9725 | − | 5.08366i | −1.09174 | − | 0.292532i | ||||
\(303\) | 0.931292 | − | 7.43556i | 0.0535013 | − | 0.427162i | ||||
\(304\) | 4.66699 | + | 2.69449i | 0.267670 | + | 0.154540i | ||||
\(305\) | −23.0464 | − | 7.75843i | −1.31964 | − | 0.444247i | ||||
\(306\) | 7.69472 | − | 2.16607i | 0.439878 | − | 0.123826i | ||||
\(307\) | −2.08355 | − | 2.08355i | −0.118915 | − | 0.118915i | 0.645145 | − | 0.764060i | \(-0.276797\pi\) |
−0.764060 | + | 0.645145i | \(0.776797\pi\) | |||||||
\(308\) | −0.0252918 | + | 0.00677690i | −0.00144113 | + | 0.000386150i | ||||
\(309\) | −3.23878 | − | 23.4580i | −0.184248 | − | 1.33448i | ||||
\(310\) | −9.57902 | − | 6.36560i | −0.544052 | − | 0.361542i | ||||
\(311\) | −9.48346 | + | 5.47528i | −0.537758 | + | 0.310474i | −0.744170 | − | 0.667991i | \(-0.767155\pi\) |
0.206412 | + | 0.978465i | \(0.433821\pi\) | |||||||
\(312\) | −10.7399 | + | 14.1805i | −0.608025 | + | 0.802815i | ||||
\(313\) | −3.10949 | − | 11.6048i | −0.175759 | − | 0.655942i | −0.996421 | − | 0.0845279i | \(-0.973062\pi\) |
0.820662 | − | 0.571414i | \(-0.193605\pi\) | |||||||
\(314\) | 21.9682 | 1.23974 | ||||||||
\(315\) | −6.38408 | − | 2.05997i | −0.359702 | − | 0.116066i | ||||
\(316\) | −0.00988342 | −0.000555986 | ||||||||
\(317\) | −1.49429 | − | 5.57677i | −0.0839277 | − | 0.313223i | 0.911181 | − | 0.412006i | \(-0.135172\pi\) |
−0.995109 | + | 0.0987832i | \(0.968505\pi\) | |||||||
\(318\) | −8.51500 | − | 1.06649i | −0.477498 | − | 0.0598058i | ||||
\(319\) | −1.44110 | + | 0.832022i | −0.0806864 | + | 0.0465843i | ||||
\(320\) | 18.6042 | − | 3.74942i | 1.04001 | − | 0.209599i | ||||
\(321\) | 16.0669 | + | 6.53685i | 0.896768 | + | 0.364852i | ||||
\(322\) | 7.49650 | − | 2.00868i | 0.417764 | − | 0.111939i | ||||
\(323\) | −2.01735 | − | 2.01735i | −0.112248 | − | 0.112248i | ||||
\(324\) | −0.671485 | − | 1.09818i | −0.0373047 | − | 0.0610098i | ||||
\(325\) | −17.4219 | + | 2.38311i | −0.966390 | + | 0.132191i | ||||
\(326\) | 1.06832 | + | 0.616798i | 0.0591690 | + | 0.0341613i | ||||
\(327\) | 3.27480 | − | 1.38070i | 0.181097 | − | 0.0763530i | ||||
\(328\) | −20.8398 | − | 5.58402i | −1.15069 | − | 0.308326i | ||||
\(329\) | 6.03641 | + | 10.4554i | 0.332798 | + | 0.576423i | ||||
\(330\) | 0.318645 | + | 0.912176i | 0.0175408 | + | 0.0502136i | ||||
\(331\) | −16.4827 | + | 28.5488i | −0.905969 | + | 1.56919i | −0.0863589 | + | 0.996264i | \(0.527523\pi\) |
−0.819611 | + | 0.572921i | \(0.805810\pi\) | |||||||
\(332\) | −1.13994 | + | 1.13994i | −0.0625622 | + | 0.0625622i | ||||
\(333\) | 14.7638 | − | 0.186037i | 0.809050 | − | 0.0101948i | ||||
\(334\) | 11.9629i | 0.654580i | ||||||||
\(335\) | −28.7445 | − | 1.81120i | −1.57048 | − | 0.0989566i | ||||
\(336\) | −6.33721 | + | 0.874961i | −0.345723 | + | 0.0477331i | ||||
\(337\) | 1.70970 | − | 6.38069i | 0.0931333 | − | 0.347578i | −0.903597 | − | 0.428385i | \(-0.859083\pi\) |
0.996730 | + | 0.0808063i | \(0.0257495\pi\) | |||||||
\(338\) | −0.222901 | + | 0.831878i | −0.0121242 | + | 0.0452482i | ||||
\(339\) | 11.3443 | − | 1.56628i | 0.616140 | − | 0.0850687i | ||||
\(340\) | −0.624103 | − | 0.0393249i | −0.0338467 | − | 0.00213269i | ||||
\(341\) | 0.691015i | 0.0374206i | ||||||||
\(342\) | 2.91706 | − | 5.20280i | 0.157736 | − | 0.281335i | ||||
\(343\) | −0.707107 | + | 0.707107i | −0.0381802 | + | 0.0381802i | ||||
\(344\) | 0.476610 | − | 0.825512i | 0.0256971 | − | 0.0445086i | ||||
\(345\) | 7.27417 | + | 20.8236i | 0.391628 | + | 1.12110i | ||||
\(346\) | 10.3949 | + | 18.0046i | 0.558836 | + | 0.967932i | ||||
\(347\) | 30.0088 | + | 8.04084i | 1.61096 | + | 0.431655i | 0.948328 | − | 0.317291i | \(-0.102773\pi\) |
0.662630 | + | 0.748947i | \(0.269440\pi\) | |||||||
\(348\) | 2.07477 | − | 0.874752i | 0.111219 | − | 0.0468916i | ||||
\(349\) | −13.1407 | − | 7.58681i | −0.703408 | − | 0.406113i | 0.105207 | − | 0.994450i | \(-0.466449\pi\) |
−0.808615 | + | 0.588337i | \(0.799783\pi\) | |||||||
\(350\) | −5.42641 | − | 4.12050i | −0.290054 | − | 0.220250i | ||||
\(351\) | 14.7053 | + | 10.8485i | 0.784912 | + | 0.579049i | ||||
\(352\) | −0.104530 | − | 0.104530i | −0.00557147 | − | 0.00557147i | ||||
\(353\) | 31.0016 | − | 8.30687i | 1.65005 | − | 0.442130i | 0.690424 | − | 0.723405i | \(-0.257424\pi\) |
0.959627 | + | 0.281275i | \(0.0907574\pi\) | |||||||
\(354\) | 4.12012 | + | 1.67628i | 0.218982 | + | 0.0890930i | ||||
\(355\) | −16.8283 | + | 3.39151i | −0.893154 | + | 0.180003i | ||||
\(356\) | 2.14322 | − | 1.23739i | 0.113590 | − | 0.0655814i | ||||
\(357\) | 3.36054 | + | 0.420902i | 0.177858 | + | 0.0222765i | ||||
\(358\) | −0.155872 | − | 0.581721i | −0.00823807 | − | 0.0307449i | ||||
\(359\) | 34.0346 | 1.79628 | 0.898140 | − | 0.439710i | \(-0.144919\pi\) | ||||
0.898140 | + | 0.439710i | \(0.144919\pi\) | |||||||
\(360\) | −4.11195 | − | 19.1537i | −0.216719 | − | 1.00949i | ||||
\(361\) | 16.8712 | 0.887958 | ||||||||
\(362\) | −4.69688 | − | 17.5290i | −0.246863 | − | 0.921304i | ||||
\(363\) | −11.4680 | + | 15.1419i | −0.601912 | + | 0.794744i | ||||
\(364\) | −0.435596 | + | 0.251492i | −0.0228315 | + | 0.0131817i | ||||
\(365\) | 17.6790 | + | 11.7483i | 0.925362 | + | 0.614936i | ||||
\(366\) | 3.51063 | + | 25.4269i | 0.183503 | + | 1.32909i | ||||
\(367\) | −11.3802 | + | 3.04933i | −0.594044 | + | 0.159173i | −0.543301 | − | 0.839538i | \(-0.682826\pi\) |
−0.0507430 | + | 0.998712i | \(0.516159\pi\) | |||||||
\(368\) | 14.8742 | + | 14.8742i | 0.775373 | + | 0.775373i | ||||
\(369\) | −5.46618 | + | 21.4790i | −0.284558 | + | 1.11815i | ||||
\(370\) | 14.2131 | + | 4.78473i | 0.738901 | + | 0.248746i | ||||
\(371\) | −3.14870 | − | 1.81790i | −0.163472 | − | 0.0943808i | ||||
\(372\) | 0.116202 | − | 0.927771i | 0.00602478 | − | 0.0481027i | ||||
\(373\) | −19.8756 | − | 5.32564i | −1.02912 | − | 0.275751i | −0.295521 | − | 0.955336i | \(-0.595493\pi\) |
−0.733597 | + | 0.679585i | \(0.762160\pi\) | |||||||
\(374\) | −0.243912 | − | 0.422467i | −0.0126124 | − | 0.0218453i | ||||
\(375\) | 10.5342 | − | 16.2490i | 0.543986 | − | 0.839094i | ||||
\(376\) | −17.6282 | + | 30.5330i | −0.909107 | + | 1.57462i | ||||
\(377\) | −22.6031 | + | 22.6031i | −1.16412 | + | 1.16412i | ||||
\(378\) | 1.05675 | + | 7.00155i | 0.0543533 | + | 0.360121i | ||||
\(379\) | − | 25.3546i | − | 1.30238i | −0.758915 | − | 0.651190i | \(-0.774270\pi\) | ||
0.758915 | − | 0.651190i | \(-0.225730\pi\) | |||||||
\(380\) | −0.350041 | + | 0.308543i | −0.0179567 | + | 0.0158279i | ||||
\(381\) | 3.35489 | − | 8.24599i | 0.171876 | − | 0.422455i | ||||
\(382\) | −2.67645 | + | 9.98864i | −0.136939 | + | 0.511063i | ||||
\(383\) | −1.73269 | + | 6.46650i | −0.0885365 | + | 0.330423i | −0.995960 | − | 0.0897937i | \(-0.971379\pi\) |
0.907424 | + | 0.420217i | \(0.138046\pi\) | |||||||
\(384\) | −10.5782 | − | 13.6074i | −0.539815 | − | 0.694398i | ||||
\(385\) | −0.0257435 | + | 0.408560i | −0.00131201 | + | 0.0208222i | ||||
\(386\) | − | 30.8052i | − | 1.56794i | ||||||
\(387\) | −0.854139 | − | 0.478890i | −0.0434183 | − | 0.0243434i | ||||
\(388\) | 0.972088 | − | 0.972088i | 0.0493503 | − | 0.0493503i | ||||
\(389\) | −7.30232 | + | 12.6480i | −0.370242 | + | 0.641279i | −0.989603 | − | 0.143828i | \(-0.954059\pi\) |
0.619360 | + | 0.785107i | \(0.287392\pi\) | |||||||
\(390\) | 10.4476 | + | 15.3412i | 0.529037 | + | 0.776834i | ||||
\(391\) | −5.56813 | − | 9.64429i | −0.281593 | − | 0.487733i | ||||
\(392\) | −2.82081 | − | 0.755834i | −0.142472 | − | 0.0381754i | ||||
\(393\) | 5.55550 | + | 4.20754i | 0.280238 | + | 0.212243i | ||||
\(394\) | 14.2579 | + | 8.23178i | 0.718301 | + | 0.414711i | ||||
\(395\) | −0.0493000 | + | 0.146446i | −0.00248055 | + | 0.00736849i | ||||
\(396\) | −0.0548403 | + | 0.0562400i | −0.00275583 | + | 0.00282617i | ||||
\(397\) | −23.9632 | − | 23.9632i | −1.20268 | − | 1.20268i | −0.973349 | − | 0.229328i | \(-0.926347\pi\) |
−0.229328 | − | 0.973349i | \(-0.573653\pi\) | |||||||
\(398\) | −24.6541 | + | 6.60603i | −1.23580 | + | 0.331131i | ||||
\(399\) | 1.99518 | − | 1.55102i | 0.0998840 | − | 0.0776483i | ||||
\(400\) | 2.31808 | − | 18.3214i | 0.115904 | − | 0.916072i | ||||
\(401\) | −15.9504 | + | 9.20898i | −0.796526 | + | 0.459875i | −0.842255 | − | 0.539079i | \(-0.818772\pi\) |
0.0457289 | + | 0.998954i | \(0.485439\pi\) | |||||||
\(402\) | 11.8109 | + | 28.0134i | 0.589072 | + | 1.39718i | ||||
\(403\) | 3.43560 | + | 12.8218i | 0.171139 | + | 0.638701i | ||||
\(404\) | 0.618781 | 0.0307855 | ||||||||
\(405\) | −19.6215 | + | 4.47174i | −0.975001 | + | 0.222202i | ||||
\(406\) | −12.3862 | −0.614715 | ||||||||
\(407\) | −0.233205 | − | 0.870334i | −0.0115596 | − | 0.0431409i | ||||
\(408\) | 3.84243 | + | 9.11361i | 0.190228 | + | 0.451191i | ||||
\(409\) | −16.5144 | + | 9.53459i | −0.816585 | + | 0.471455i | −0.849237 | − | 0.528011i | \(-0.822938\pi\) |
0.0326527 | + | 0.999467i | \(0.489604\pi\) | |||||||
\(410\) | −12.4596 | + | 18.7493i | −0.615335 | + | 0.925962i | ||||
\(411\) | 29.5331 | − | 22.9586i | 1.45676 | − | 1.13246i | ||||
\(412\) | 1.88877 | − | 0.506093i | 0.0930528 | − | 0.0249334i | ||||
\(413\) | 1.33258 | + | 1.33258i | 0.0655717 | + | 0.0655717i | ||||
\(414\) | 16.2547 | − | 16.6696i | 0.798876 | − | 0.819266i | ||||
\(415\) | 11.2046 | + | 22.5770i | 0.550014 | + | 1.10826i | ||||
\(416\) | −2.45926 | − | 1.41986i | −0.120575 | − | 0.0696142i | ||||
\(417\) | −18.5768 | − | 14.0694i | −0.909708 | − | 0.688981i | ||||
\(418\) | −0.351598 | − | 0.0942105i | −0.0171972 | − | 0.00460798i | ||||
\(419\) | 3.42893 | + | 5.93908i | 0.167514 | + | 0.290143i | 0.937545 | − | 0.347863i | \(-0.113093\pi\) |
−0.770031 | + | 0.638006i | \(0.779759\pi\) | |||||||
\(420\) | 0.103268 | − | 0.544212i | 0.00503894 | − | 0.0265548i | ||||
\(421\) | −1.53201 | + | 2.65352i | −0.0746658 | + | 0.129325i | −0.900941 | − | 0.433942i | \(-0.857122\pi\) |
0.826275 | + | 0.563267i | \(0.190456\pi\) | |||||||
\(422\) | 4.57054 | − | 4.57054i | 0.222490 | − | 0.222490i | ||||
\(423\) | 31.5918 | + | 17.7126i | 1.53605 | + | 0.861215i | ||||
\(424\) | − | 10.6177i | − | 0.515642i | ||||||
\(425\) | −3.69581 | + | 9.05137i | −0.179273 | + | 0.439056i | ||||
\(426\) | 11.1213 | + | 14.3060i | 0.538828 | + | 0.693128i | ||||
\(427\) | −2.81467 | + | 10.5045i | −0.136211 | + | 0.508347i | ||||
\(428\) | −0.370709 | + | 1.38351i | −0.0179189 | + | 0.0668743i | ||||
\(429\) | 0.420259 | − | 1.03295i | 0.0202903 | − | 0.0498714i | ||||
\(430\) | −0.657674 | − | 0.746128i | −0.0317159 | − | 0.0359815i | ||||
\(431\) | − | 12.6529i | − | 0.609469i | −0.952437 | − | 0.304734i | \(-0.901432\pi\) | ||
0.952437 | − | 0.304734i | \(-0.0985677\pi\) | |||||||
\(432\) | −15.0025 | + | 11.9690i | −0.721808 | + | 0.575860i | ||||
\(433\) | −11.6961 | + | 11.6961i | −0.562079 | + | 0.562079i | −0.929898 | − | 0.367818i | \(-0.880105\pi\) |
0.367818 | + | 0.929898i | \(0.380105\pi\) | |||||||
\(434\) | −2.57175 | + | 4.45441i | −0.123448 | + | 0.213819i | ||||
\(435\) | −2.61221 | − | 35.1059i | −0.125246 | − | 1.68320i | ||||
\(436\) | 0.146732 | + | 0.254148i | 0.00702721 | + | 0.0121715i | ||||
\(437\) | −8.02645 | − | 2.15068i | −0.383957 | − | 0.102881i | ||||
\(438\) | 2.78454 | − | 22.2321i | 0.133050 | − | 1.06229i | ||||
\(439\) | −18.0480 | − | 10.4200i | −0.861385 | − | 0.497321i | 0.00309081 | − | 0.999995i | \(-0.499016\pi\) |
−0.864476 | + | 0.502674i | \(0.832349\pi\) | |||||||
\(440\) | −1.07087 | + | 0.531455i | −0.0510516 | + | 0.0253361i | ||||
\(441\) | −0.739884 | + | 2.90733i | −0.0352326 | + | 0.138444i | ||||
\(442\) | −6.62622 | − | 6.62622i | −0.315177 | − | 0.315177i | ||||
\(443\) | −11.5443 | + | 3.09328i | −0.548486 | + | 0.146966i | −0.522411 | − | 0.852694i | \(-0.674967\pi\) |
−0.0260747 | + | 0.999660i | \(0.508301\pi\) | |||||||
\(444\) | 0.166750 | + | 1.20774i | 0.00791359 | + | 0.0573170i | ||||
\(445\) | −7.64406 | − | 37.9290i | −0.362363 | − | 1.79801i | ||||
\(446\) | 5.99478 | − | 3.46109i | 0.283861 | − | 0.163887i | ||||
\(447\) | 12.7174 | − | 16.7916i | 0.601512 | − | 0.794216i | ||||
\(448\) | −2.19669 | − | 8.19814i | −0.103784 | − | 0.387326i | ||||
\(449\) | −5.14260 | −0.242694 | −0.121347 | − | 0.992610i | \(-0.538721\pi\) | ||||
−0.121347 | + | 0.992610i | \(0.538721\pi\) | |||||||
\(450\) | −20.3097 | − | 2.31004i | −0.957408 | − | 0.108896i | ||||
\(451\) | 1.35255 | 0.0636889 | ||||||||
\(452\) | 0.244748 | + | 0.913412i | 0.0115120 | + | 0.0429633i | ||||
\(453\) | −24.7718 | − | 3.10263i | −1.16388 | − | 0.145774i | ||||
\(454\) | −16.9322 | + | 9.77579i | −0.794666 | + | 0.458801i | ||||
\(455\) | 1.55361 | + | 7.70885i | 0.0728344 | + | 0.361396i | ||||
\(456\) | 6.83593 | + | 2.78121i | 0.320122 | + | 0.130242i | ||||
\(457\) | −26.4648 | + | 7.09122i | −1.23797 | + | 0.331713i | −0.817679 | − | 0.575675i | \(-0.804739\pi\) |
−0.420293 | + | 0.907388i | \(0.638073\pi\) | |||||||
\(458\) | 3.31231 | + | 3.31231i | 0.154774 | + | 0.154774i | ||||
\(459\) | 9.31180 | − | 4.06492i | 0.434638 | − | 0.189734i | ||||
\(460\) | −1.63151 | + | 0.809694i | −0.0760695 | + | 0.0377522i | ||||
\(461\) | 16.9768 | + | 9.80158i | 0.790690 | + | 0.456505i | 0.840205 | − | 0.542268i | \(-0.182434\pi\) |
−0.0495155 | + | 0.998773i | \(0.515768\pi\) | |||||||
\(462\) | 0.398169 | − | 0.167874i | 0.0185245 | − | 0.00781019i | ||||
\(463\) | −18.7589 | − | 5.02644i | −0.871802 | − | 0.233599i | −0.204935 | − | 0.978776i | \(-0.565698\pi\) |
−0.666867 | + | 0.745177i | \(0.732365\pi\) | |||||||
\(464\) | −16.7858 | − | 29.0738i | −0.779261 | − | 1.34972i | ||||
\(465\) | −13.1674 | − | 6.34966i | −0.610625 | − | 0.294458i | ||||
\(466\) | −1.65385 | + | 2.86454i | −0.0766129 | + | 0.132697i | ||||
\(467\) | −14.3556 | + | 14.3556i | −0.664296 | + | 0.664296i | −0.956390 | − | 0.292094i | \(-0.905648\pi\) |
0.292094 | + | 0.956390i | \(0.405648\pi\) | |||||||
\(468\) | −0.737950 | + | 1.31619i | −0.0341117 | + | 0.0608410i | ||||
\(469\) | 12.8804i | 0.594763i | ||||||||
\(470\) | 24.3252 | + | 27.5968i | 1.12204 | + | 1.27295i | ||||
\(471\) | 27.6600 | − | 3.81893i | 1.27450 | − | 0.175967i | ||||
\(472\) | −1.42440 | + | 5.31595i | −0.0655635 | + | 0.244686i | ||||
\(473\) | −0.0154664 | + | 0.0577216i | −0.000711148 | + | 0.00265404i | ||||
\(474\) | 0.161572 | − | 0.0223079i | 0.00742127 | − | 0.00102463i | ||||
\(475\) | 2.82573 | + | 6.72573i | 0.129653 | + | 0.308598i | ||||
\(476\) | 0.279661i | 0.0128182i | ||||||||
\(477\) | −10.9066 | + | 0.137432i | −0.499377 | + | 0.00629259i | ||||
\(478\) | 26.1141 | − | 26.1141i | 1.19443 | − | 1.19443i | ||||
\(479\) | 9.75324 | − | 16.8931i | 0.445637 | − | 0.771866i | −0.552459 | − | 0.833540i | \(-0.686311\pi\) |
0.998096 | + | 0.0616740i | \(0.0196439\pi\) | |||||||
\(480\) | 2.95235 | − | 1.03133i | 0.134756 | − | 0.0470734i | ||||
\(481\) | −8.65427 | − | 14.9896i | −0.394601 | − | 0.683469i | ||||
\(482\) | 16.1441 | + | 4.32581i | 0.735345 | + | 0.197035i | ||||
\(483\) | 9.08959 | − | 3.83230i | 0.413591 | − | 0.174376i | ||||
\(484\) | −1.35832 | − | 0.784226i | −0.0617418 | − | 0.0356466i | ||||
\(485\) | −9.55482 | − | 19.2527i | −0.433862 | − | 0.874218i | ||||
\(486\) | 13.4560 | + | 16.4372i | 0.610377 | + | 0.745606i | ||||
\(487\) | −29.7056 | − | 29.7056i | −1.34609 | − | 1.34609i | −0.889864 | − | 0.456227i | \(-0.849201\pi\) |
−0.456227 | − | 0.889864i | \(-0.650799\pi\) | |||||||
\(488\) | −30.6764 | + | 8.21972i | −1.38866 | + | 0.372089i | ||||
\(489\) | 1.45234 | + | 0.590887i | 0.0656771 | + | 0.0267208i | ||||
\(490\) | −1.68649 | + | 2.53784i | −0.0761877 | + | 0.114648i | ||||
\(491\) | −16.9298 | + | 9.77445i | −0.764033 | + | 0.441115i | −0.830742 | − | 0.556658i | \(-0.812083\pi\) |
0.0667088 | + | 0.997772i | \(0.478750\pi\) | |||||||
\(492\) | −1.81595 | − | 0.227445i | −0.0818695 | − | 0.0102540i | ||||
\(493\) | 4.60000 | + | 17.1674i | 0.207173 | + | 0.773182i | ||||
\(494\) | −6.99232 | −0.314599 | ||||||||
\(495\) | 0.559774 | + | 1.09312i | 0.0251600 | + | 0.0491321i | ||||
\(496\) | −13.9410 | −0.625970 | ||||||||
\(497\) | 1.98700 | + | 7.41557i | 0.0891290 | + | 0.332634i | ||||
\(498\) | 16.0625 | − | 21.2084i | 0.719780 | − | 0.950373i | ||||
\(499\) | −12.6730 | + | 7.31674i | −0.567320 | + | 0.327542i | −0.756078 | − | 0.654481i | \(-0.772887\pi\) |
0.188758 | + | 0.982024i | \(0.439554\pi\) | |||||||
\(500\) | 1.43944 | + | 0.696363i | 0.0643739 | + | 0.0311423i | ||||
\(501\) | 2.07962 | + | 15.0623i | 0.0929104 | + | 0.672936i | ||||
\(502\) | 1.56584 | − | 0.419566i | 0.0698870 | − | 0.0187262i | ||||
\(503\) | 1.91349 | + | 1.91349i | 0.0853183 | + | 0.0853183i | 0.748478 | − | 0.663160i | \(-0.230785\pi\) |
−0.663160 | + | 0.748478i | \(0.730785\pi\) | |||||||
\(504\) | −8.43319 | + | 2.37395i | −0.375644 | + | 0.105744i | ||||
\(505\) | 3.08657 | − | 9.16867i | 0.137351 | − | 0.408000i | ||||
\(506\) | −1.23049 | − | 0.710422i | −0.0547018 | − | 0.0315821i | ||||
\(507\) | −0.136040 | + | 1.08616i | −0.00604173 | + | 0.0482380i | ||||
\(508\) | 0.710054 | + | 0.190258i | 0.0315035 | + | 0.00844135i | ||||
\(509\) | −5.04165 | − | 8.73240i | −0.223467 | − | 0.387057i | 0.732391 | − | 0.680884i | \(-0.238404\pi\) |
−0.955859 | + | 0.293827i | \(0.905071\pi\) | |||||||
\(510\) | 10.2915 | − | 0.765784i | 0.455714 | − | 0.0339095i | ||||
\(511\) | 4.74643 | − | 8.22105i | 0.209970 | − | 0.363678i | ||||
\(512\) | 17.3628 | − | 17.3628i | 0.767336 | − | 0.767336i | ||||
\(513\) | 2.76839 | − | 7.05789i | 0.122227 | − | 0.311614i | ||||
\(514\) | − | 7.66213i | − | 0.337962i | ||||||
\(515\) | 1.92250 | − | 30.5109i | 0.0847156 | − | 1.34447i | ||||
\(516\) | 0.0304721 | − | 0.0748973i | 0.00134146 | − | 0.00329717i | ||||
\(517\) | 0.572053 | − | 2.13493i | 0.0251589 | − | 0.0938942i | ||||
\(518\) | 1.73584 | − | 6.47825i | 0.0762685 | − | 0.284638i | ||||
\(519\) | 16.2181 | + | 20.8623i | 0.711894 | + | 0.915755i | ||||
\(520\) | −17.2277 | + | 15.1853i | −0.755484 | + | 0.665921i | ||||
\(521\) | − | 32.4283i | − | 1.42071i | −0.703845 | − | 0.710354i | \(-0.748535\pi\) | ||
0.703845 | − | 0.710354i | \(-0.251465\pi\) | |||||||
\(522\) | −31.9436 | + | 18.9832i | −1.39813 | + | 0.830874i | ||||
\(523\) | −18.9284 | + | 18.9284i | −0.827679 | + | 0.827679i | −0.987195 | − | 0.159516i | \(-0.949007\pi\) |
0.159516 | + | 0.987195i | \(0.449007\pi\) | |||||||
\(524\) | −0.287729 | + | 0.498361i | −0.0125695 | + | 0.0217710i | ||||
\(525\) | −7.54864 | − | 4.24476i | −0.329450 | − | 0.185256i | ||||
\(526\) | 1.85085 | + | 3.20576i | 0.0807007 | + | 0.139778i | ||||
\(527\) | 7.12899 | + | 1.91021i | 0.310544 | + | 0.0832099i | ||||
\(528\) | 0.933647 | + | 0.707112i | 0.0406318 | + | 0.0307731i | ||||
\(529\) | −8.17156 | − | 4.71785i | −0.355285 | − | 0.205124i | ||||
\(530\) | −10.4997 | − | 3.53466i | −0.456078 | − | 0.153536i | ||||
\(531\) | 5.47900 | + | 1.39435i | 0.237768 | + | 0.0605094i | ||||
\(532\) | 0.147556 | + | 0.147556i | 0.00639736 | + | 0.00639736i | ||||
\(533\) | 25.0965 | − | 6.72460i | 1.08705 | − | 0.291275i | ||||
\(534\) | −32.2440 | + | 25.0660i | −1.39533 | + | 1.08471i | ||||
\(535\) | 18.6507 | + | 12.3941i | 0.806340 | + | 0.535842i | ||||
\(536\) | −32.5755 | + | 18.8075i | −1.40705 | + | 0.812360i | ||||
\(537\) | −0.297382 | − | 0.705343i | −0.0128330 | − | 0.0304378i | ||||
\(538\) | 2.24653 | + | 8.38417i | 0.0968548 | + | 0.361467i | ||||
\(539\) | 0.183076 | 0.00788564 | ||||||||
\(540\) | −0.567744 | − | 1.56178i | −0.0244318 | − | 0.0672081i | ||||
\(541\) | 3.89921 | 0.167640 | 0.0838200 | − | 0.996481i | \(-0.473288\pi\) | ||||
0.0838200 | + | 0.996481i | \(0.473288\pi\) | |||||||
\(542\) | −8.07641 | − | 30.1416i | −0.346911 | − | 1.29469i | ||||
\(543\) | −8.96103 | − | 21.2541i | −0.384554 | − | 0.912101i | ||||
\(544\) | −1.36736 | + | 0.789446i | −0.0586251 | + | 0.0338472i | ||||
\(545\) | 4.49771 | − | 0.906452i | 0.192661 | − | 0.0388281i | ||||
\(546\) | 6.55341 | − | 5.09452i | 0.280460 | − | 0.218025i | ||||
\(547\) | −3.84960 | + | 1.03150i | −0.164597 | + | 0.0441036i | −0.340176 | − | 0.940362i | \(-0.610487\pi\) |
0.175579 | + | 0.984465i | \(0.443820\pi\) | |||||||
\(548\) | 2.18415 | + | 2.18415i | 0.0933025 | + | 0.0933025i | ||||
\(549\) | 8.84039 | + | 31.4045i | 0.377299 | + | 1.34031i | ||||
\(550\) | 0.169056 | + | 1.23589i | 0.00720856 | + | 0.0526985i | ||||
\(551\) | 11.4850 | + | 6.63089i | 0.489279 | + | 0.282485i | ||||
\(552\) | 22.9644 | + | 17.3924i | 0.977429 | + | 0.740271i | ||||
\(553\) | 0.0667494 | + | 0.0178854i | 0.00283847 | + | 0.000760567i | ||||
\(554\) | −13.8347 | − | 23.9624i | −0.587781 | − | 1.01807i | ||||
\(555\) | 18.7273 | + | 3.55362i | 0.794929 | + | 0.150843i | ||||
\(556\) | 0.962123 | − | 1.66645i | 0.0408031 | − | 0.0706731i | ||||
\(557\) | 31.6273 | − | 31.6273i | 1.34009 | − | 1.34009i | 0.444128 | − | 0.895964i | \(-0.353514\pi\) |
0.895964 | − | 0.444128i | \(-0.146486\pi\) | |||||||
\(558\) | 0.194423 | + | 15.4293i | 0.00823058 | + | 0.653175i | ||||
\(559\) | 1.14792i | 0.0485520i | ||||||||
\(560\) | −8.24257 | − | 0.519367i | −0.348312 | − | 0.0219473i | ||||
\(561\) | −0.380548 | − | 0.489523i | −0.0160668 | − | 0.0206677i | ||||
\(562\) | 6.58690 | − | 24.5827i | 0.277852 | − | 1.03696i | ||||
\(563\) | 4.27444 | − | 15.9524i | 0.180146 | − | 0.672315i | −0.815471 | − | 0.578798i | \(-0.803522\pi\) |
0.995618 | − | 0.0935178i | \(-0.0298112\pi\) | |||||||
\(564\) | −1.12706 | + | 2.77020i | −0.0474579 | + | 0.116647i | ||||
\(565\) | 14.7551 | + | 0.929727i | 0.620754 | + | 0.0391139i | ||||
\(566\) | − | 26.5904i | − | 1.11768i | ||||||
\(567\) | 2.54768 | + | 8.63188i | 0.106993 | + | 0.362505i | ||||
\(568\) | −15.8532 | + | 15.8532i | −0.665184 | + | 0.665184i | ||||
\(569\) | −11.2852 | + | 19.5465i | −0.473099 | + | 0.819432i | −0.999526 | − | 0.0307885i | \(-0.990198\pi\) |
0.526427 | + | 0.850221i | \(0.323532\pi\) | |||||||
\(570\) | 5.02600 | − | 5.83409i | 0.210516 | − | 0.244363i | ||||
\(571\) | 20.6071 | + | 35.6926i | 0.862381 | + | 1.49369i | 0.869624 | + | 0.493714i | \(0.164361\pi\) |
−0.00724345 | + | 0.999974i | \(0.502306\pi\) | |||||||
\(572\) | 0.0889465 | + | 0.0238331i | 0.00371904 | + | 0.000996514i | ||||
\(573\) | −1.63347 | + | 13.0419i | −0.0682393 | + | 0.544832i | ||||
\(574\) | 8.71875 | + | 5.03377i | 0.363914 | + | 0.210106i | ||||
\(575\) | 3.85928 | + | 28.2134i | 0.160943 | + | 1.17658i | ||||
\(576\) | −18.2298 | − | 17.7761i | −0.759575 | − | 0.740670i | ||||
\(577\) | 28.4165 | + | 28.4165i | 1.18299 | + | 1.18299i | 0.978965 | + | 0.204028i | \(0.0654034\pi\) |
0.204028 | + | 0.978965i | \(0.434597\pi\) | |||||||
\(578\) | 17.3440 | − | 4.64731i | 0.721414 | − | 0.193302i | ||||
\(579\) | −5.35515 | − | 38.7865i | −0.222552 | − | 1.61191i | ||||
\(580\) | 2.84955 | − | 0.574288i | 0.118321 | − | 0.0238460i | ||||
\(581\) | 9.76164 | − | 5.63589i | 0.404981 | − | 0.233816i | ||||
\(582\) | −13.6974 | + | 18.0856i | −0.567776 | + | 0.749673i | ||||
\(583\) | 0.172277 | + | 0.642948i | 0.00713500 | + | 0.0266282i | ||||
\(584\) | 27.7221 | 1.14715 | ||||||||
\(585\) | 15.8214 | + | 17.4998i | 0.654135 | + | 0.723528i | ||||
\(586\) | −29.8241 | −1.23202 | ||||||||
\(587\) | 3.04399 | + | 11.3603i | 0.125639 | + | 0.468890i | 0.999862 | − | 0.0166345i | \(-0.00529517\pi\) |
−0.874223 | + | 0.485525i | \(0.838629\pi\) | |||||||
\(588\) | −0.245801 | − | 0.0307862i | −0.0101367 | − | 0.00126960i | ||||
\(589\) | 4.76930 | − | 2.75356i | 0.196516 | − | 0.113458i | ||||
\(590\) | 4.78268 | + | 3.17826i | 0.196900 | + | 0.130847i | ||||
\(591\) | 19.3829 | + | 7.88598i | 0.797308 | + | 0.324386i | ||||
\(592\) | 17.5587 | − | 4.70484i | 0.721659 | − | 0.193368i | ||||
\(593\) | 33.3410 | + | 33.3410i | 1.36915 | + | 1.36915i | 0.861651 | + | 0.507501i | \(0.169431\pi\) |
0.507501 | + | 0.861651i | \(0.330569\pi\) | |||||||
\(594\) | 0.769580 | − | 1.04318i | 0.0315762 | − | 0.0428022i | ||||
\(595\) | 4.14382 | + | 1.39499i | 0.169880 | + | 0.0571890i | ||||
\(596\) | 1.50631 | + | 0.869667i | 0.0617008 | + | 0.0356230i | ||||
\(597\) | −29.8933 | + | 12.6034i | −1.22345 | + | 0.515824i | ||||
\(598\) | −26.3638 | − | 7.06417i | −1.07810 | − | 0.288875i | ||||
\(599\) | −15.7308 | − | 27.2465i | −0.642743 | − | 1.11326i | −0.984818 | − | 0.173590i | \(-0.944463\pi\) |
0.342075 | − | 0.939673i | \(-0.388870\pi\) | |||||||
\(600\) | −0.286929 | − | 25.2891i | −0.0117138 | − | 1.03242i | ||||
\(601\) | −11.8240 | + | 20.4797i | −0.482310 | + | 0.835385i | −0.999794 | − | 0.0203077i | \(-0.993535\pi\) |
0.517484 | + | 0.855693i | \(0.326869\pi\) | |||||||
\(602\) | −0.314522 | + | 0.314522i | −0.0128190 | + | 0.0128190i | ||||
\(603\) | 19.7408 | + | 33.2183i | 0.803906 | + | 1.35275i | ||||
\(604\) | − | 2.06149i | − | 0.0838808i | ||||||
\(605\) | −18.3956 | + | 16.2148i | −0.747888 | + | 0.659226i | ||||
\(606\) | −10.1157 | + | 1.39665i | −0.410923 | + | 0.0567350i | ||||
\(607\) | 0.758873 | − | 2.83215i | 0.0308017 | − | 0.114954i | −0.948813 | − | 0.315837i | \(-0.897715\pi\) |
0.979615 | + | 0.200884i | \(0.0643813\pi\) | |||||||
\(608\) | −0.304922 | + | 1.13798i | −0.0123662 | + | 0.0461514i | ||||
\(609\) | −15.5953 | + | 2.15320i | −0.631953 | + | 0.0872521i | ||||
\(610\) | −2.08387 | + | 33.0719i | −0.0843734 | + | 1.33904i | ||||
\(611\) | − | 42.4579i | − | 1.71766i | ||||||
\(612\) | 0.428613 | + | 0.721237i | 0.0173256 | + | 0.0291543i | ||||
\(613\) | 13.6365 | − | 13.6365i | 0.550773 | − | 0.550773i | −0.375891 | − | 0.926664i | \(-0.622663\pi\) |
0.926664 | + | 0.375891i | \(0.122663\pi\) | |||||||
\(614\) | −2.00767 | + | 3.47739i | −0.0810231 | + | 0.140336i | ||||
\(615\) | −12.4284 | + | 25.7730i | −0.501161 | + | 1.03927i | ||||
\(616\) | 0.267320 | + | 0.463012i | 0.0107706 | + | 0.0186553i | ||||
\(617\) | −5.86604 | − | 1.57180i | −0.236158 | − | 0.0632783i | 0.138799 | − | 0.990321i | \(-0.455676\pi\) |
−0.374957 | + | 0.927042i | \(0.622342\pi\) | |||||||
\(618\) | −29.7349 | + | 12.5366i | −1.19611 | + | 0.504298i | ||||
\(619\) | −21.8393 | − | 12.6089i | −0.877795 | − | 0.506795i | −0.00786399 | − | 0.999969i | \(-0.502503\pi\) |
−0.869931 | + | 0.493174i | \(0.835837\pi\) | |||||||
\(620\) | 0.385126 | − | 1.14402i | 0.0154670 | − | 0.0459449i | ||||
\(621\) | 17.5683 | − | 23.8142i | 0.704993 | − | 0.955632i | ||||
\(622\) | 10.5517 | + | 10.5517i | 0.423087 | + | 0.423087i | ||||
\(623\) | −16.7138 | + | 4.47845i | −0.669625 | + | 0.179425i | ||||
\(624\) | 20.8395 | + | 8.47858i | 0.834247 | + | 0.339415i | ||||
\(625\) | 17.4984 | − | 17.8551i | 0.699936 | − | 0.714206i | ||||
\(626\) | −14.1784 | + | 8.18591i | −0.566683 | + | 0.327175i | ||||
\(627\) | −0.459071 | − | 0.0574980i | −0.0183335 | − | 0.00229625i | ||||
\(628\) | 0.596749 | + | 2.22710i | 0.0238129 | + | 0.0888708i | ||||
\(629\) | −9.62362 | −0.383719 | ||||||||
\(630\) | −0.459861 | + | 9.12976i | −0.0183213 | + | 0.363738i | ||||
\(631\) | 40.0388 | 1.59392 | 0.796959 | − | 0.604033i | \(-0.206441\pi\) | ||||
0.796959 | + | 0.604033i | \(0.206441\pi\) | |||||||
\(632\) | 0.0522312 | + | 0.194929i | 0.00207764 | + | 0.00775388i | ||||
\(633\) | 4.96018 | − | 6.54926i | 0.197150 | − | 0.260310i | ||||
\(634\) | −6.81354 | + | 3.93380i | −0.270600 | + | 0.156231i | ||||
\(635\) | 6.36097 | − | 9.57205i | 0.252427 | − | 0.379855i | ||||
\(636\) | −0.123184 | − | 0.892205i | −0.00488457 | − | 0.0353782i | ||||
\(637\) | 3.39699 | − | 0.910219i | 0.134593 | − | 0.0360642i | ||||
\(638\) | 1.60344 | + | 1.60344i | 0.0634809 | + | 0.0634809i | ||||
\(639\) | 16.4896 | + | 16.0792i | 0.652320 | + | 0.636085i | ||||
\(640\) | −9.89158 | − | 19.9312i | −0.390999 | − | 0.787851i | ||||
\(641\) | −27.4706 | − | 15.8601i | −1.08502 | − | 0.626438i | −0.152775 | − | 0.988261i | \(-0.548821\pi\) |
−0.932247 | + | 0.361823i | \(0.882154\pi\) | |||||||
\(642\) | 2.93758 | − | 23.4540i | 0.115937 | − | 0.925657i | ||||
\(643\) | 26.9602 | + | 7.22397i | 1.06321 | + | 0.284886i | 0.747699 | − | 0.664037i | \(-0.231158\pi\) |
0.315508 | + | 0.948923i | \(0.397825\pi\) | |||||||
\(644\) | 0.407273 | + | 0.705417i | 0.0160488 | + | 0.0277973i | ||||
\(645\) | −0.957777 | − | 0.825113i | −0.0377124 | − | 0.0324888i | ||||
\(646\) | −1.94388 | + | 3.36690i | −0.0764809 | + | 0.132469i | ||||
\(647\) | −3.09376 | + | 3.09376i | −0.121628 | + | 0.121628i | −0.765301 | − | 0.643673i | \(-0.777410\pi\) |
0.643673 | + | 0.765301i | \(0.277410\pi\) | |||||||
\(648\) | −18.1106 | + | 19.0472i | −0.711451 | + | 0.748244i | ||||
\(649\) | − | 0.345015i | − | 0.0135430i | ||||||
\(650\) | 9.28144 | + | 22.0915i | 0.364048 | + | 0.866498i | ||||
\(651\) | −2.46372 | + | 6.05558i | −0.0965608 | + | 0.237337i | ||||
\(652\) | −0.0335096 | + | 0.125060i | −0.00131234 | + | 0.00489771i | ||||
\(653\) | 10.6338 | − | 39.6857i | 0.416131 | − | 1.55302i | −0.366427 | − | 0.930447i | \(-0.619419\pi\) |
0.782559 | − | 0.622577i | \(-0.213914\pi\) | |||||||
\(654\) | −2.97239 | − | 3.82358i | −0.116230 | − | 0.149514i | ||||
\(655\) | 5.94914 | + | 6.74927i | 0.232452 | + | 0.263716i | ||||
\(656\) | 27.2872i | 1.06538i | ||||||||
\(657\) | −0.358827 | − | 28.4763i | −0.0139992 | − | 1.11097i | ||||
\(658\) | 11.6331 | − | 11.6331i | 0.453507 | − | 0.453507i | ||||
\(659\) | −2.60962 | + | 4.52000i | −0.101656 | + | 0.176074i | −0.912367 | − | 0.409373i | \(-0.865748\pi\) |
0.810711 | + | 0.585447i | \(0.199081\pi\) | |||||||
\(660\) | −0.0838190 | + | 0.0570821i | −0.00326265 | + | 0.00222192i | ||||
\(661\) | −19.4739 | − | 33.7298i | −0.757447 | − | 1.31194i | −0.944149 | − | 0.329519i | \(-0.893113\pi\) |
0.186702 | − | 0.982417i | \(-0.440220\pi\) | |||||||
\(662\) | 43.3915 | + | 11.6267i | 1.68646 | + | 0.451885i | ||||
\(663\) | −9.49491 | − | 7.19112i | −0.368752 | − | 0.279280i | ||||
\(664\) | 28.5071 | + | 16.4586i | 1.10629 | + | 0.638717i | ||||
\(665\) | 2.92242 | − | 1.45035i | 0.113326 | − | 0.0562423i | ||||
\(666\) | −5.45199 | − | 19.3676i | −0.211260 | − | 0.750479i | ||||
\(667\) | 36.6041 | + | 36.6041i | 1.41732 | + | 1.41732i | ||||
\(668\) | −1.21277 | + | 0.324962i | −0.0469236 | + | 0.0125731i | ||||
\(669\) | 6.94630 | − | 5.39995i | 0.268560 | − | 0.208774i | ||||
\(670\) | 7.75401 | + | 38.4746i | 0.299564 | + | 1.48640i | ||||
\(671\) | 1.72422 | − | 0.995479i | 0.0665628 | − | 0.0384300i | ||||
\(672\) | −0.543340 | − | 1.28871i | −0.0209598 | − | 0.0497133i | ||||
\(673\) | 7.36456 | + | 27.4849i | 0.283883 | + | 1.05947i | 0.949652 | + | 0.313307i | \(0.101437\pi\) |
−0.665769 | + | 0.746158i | \(0.731896\pi\) | |||||||
\(674\) | −9.00175 | −0.346735 | ||||||||
\(675\) | −25.9733 | + | 0.622068i | −0.999713 | + | 0.0239434i | ||||
\(676\) | −0.0903891 | −0.00347650 | ||||||||
\(677\) | 11.0966 | + | 41.4130i | 0.426476 | + | 1.59163i | 0.760679 | + | 0.649128i | \(0.224866\pi\) |
−0.334203 | + | 0.942501i | \(0.608467\pi\) | |||||||
\(678\) | −6.06275 | − | 14.3799i | −0.232839 | − | 0.552256i | ||||
\(679\) | −8.32430 | + | 4.80603i | −0.319457 | + | 0.184439i | ||||
\(680\) | 2.52261 | + | 12.5169i | 0.0967378 | + | 0.480002i | ||||
\(681\) | −19.6197 | + | 15.2521i | −0.751829 | + | 0.584461i | ||||
\(682\) | 0.909567 | − | 0.243718i | 0.0348291 | − | 0.00933244i | ||||
\(683\) | −16.7527 | − | 16.7527i | −0.641024 | − | 0.641024i | 0.309783 | − | 0.950807i | \(-0.399744\pi\) |
−0.950807 | + | 0.309783i | \(0.899744\pi\) | |||||||
\(684\) | 0.606689 | + | 0.154396i | 0.0231973 | + | 0.00590347i | ||||
\(685\) | 43.2582 | − | 21.4684i | 1.65281 | − | 0.820266i | ||||
\(686\) | 1.18014 | + | 0.681355i | 0.0450580 | + | 0.0260142i | ||||
\(687\) | 4.74630 | + | 3.59468i | 0.181083 | + | 0.137146i | ||||
\(688\) | −1.16451 | − | 0.312031i | −0.0443967 | − | 0.0118961i | ||||
\(689\) | 6.39324 | + | 11.0734i | 0.243563 | + | 0.421863i | ||||
\(690\) | 24.8440 | − | 16.9192i | 0.945796 | − | 0.644103i | ||||
\(691\) | 0.281016 | − | 0.486733i | 0.0106903 | − | 0.0185162i | −0.860631 | − | 0.509230i | \(-0.829930\pi\) |
0.871321 | + | 0.490713i | \(0.163264\pi\) | |||||||
\(692\) | −1.54290 | + | 1.54290i | −0.0586522 | + | 0.0586522i | ||||
\(693\) | 0.472148 | − | 0.280585i | 0.0179354 | − | 0.0106586i | ||||
\(694\) | − | 42.3359i | − | 1.60705i | ||||||
\(695\) | −19.8930 | − | 22.5686i | −0.754586 | − | 0.856075i | ||||
\(696\) | −28.2172 | − | 36.2976i | −1.06957 | − | 1.37586i | ||||
\(697\) | 3.73890 | − | 13.9538i | 0.141621 | − | 0.528537i | ||||
\(698\) | −5.35167 | + | 19.9727i | −0.202564 | + | 0.755977i | ||||
\(699\) | −1.58437 | + | 3.89422i | −0.0599264 | + | 0.147293i | ||||
\(700\) | 0.270324 | − | 0.662049i | 0.0102173 | − | 0.0250231i | ||||
\(701\) | 0.157967i | 0.00596631i | 0.999996 | + | 0.00298316i | \(0.000949570\pi\) | ||||
−0.999996 | + | 0.00298316i | \(0.999050\pi\) | |||||||
\(702\) | 9.09310 | − | 23.1825i | 0.343197 | − | 0.874967i | ||||
\(703\) | −5.07766 | + | 5.07766i | −0.191508 | + | 0.191508i | ||||
\(704\) | −0.776914 | + | 1.34566i | −0.0292811 | + | 0.0507163i | ||||
\(705\) | 35.4250 | + | 30.5182i | 1.33418 | + | 1.14938i | ||||
\(706\) | −21.8683 | − | 37.8769i | −0.823023 | − | 1.42552i | ||||
\(707\) | −4.17904 | − | 1.11977i | −0.157169 | − | 0.0421133i | ||||
\(708\) | −0.0580181 | + | 0.463224i | −0.00218045 | + | 0.0174090i | ||||
\(709\) | 8.31063 | + | 4.79815i | 0.312112 | + | 0.180198i | 0.647871 | − | 0.761750i | \(-0.275659\pi\) |
−0.335759 | + | 0.941948i | \(0.608993\pi\) | |||||||
\(710\) | 10.3994 | + | 20.9545i | 0.390284 | + | 0.786410i | ||||
\(711\) | 0.199556 | − | 0.0561752i | 0.00748394 | − | 0.00210673i | ||||
\(712\) | −35.7311 | − | 35.7311i | −1.33908 | − | 1.33908i | ||||
\(713\) | 20.7640 | − | 5.56371i | 0.777619 | − | 0.208362i | ||||
\(714\) | −0.631222 | − | 4.57184i | −0.0236229 | − | 0.171097i | ||||
\(715\) | 0.796822 | − | 1.19906i | 0.0297994 | − | 0.0448425i | ||||
\(716\) | 0.0547397 | − | 0.0316040i | 0.00204572 | − | 0.00118110i | ||||
\(717\) | 28.3404 | − | 37.4197i | 1.05839 | − | 1.39747i | ||||
\(718\) | −12.0039 | − | 44.7990i | −0.447980 | − | 1.67188i | ||||
\(719\) | 26.3328 | 0.982048 | 0.491024 | − | 0.871146i | \(-0.336623\pi\) | ||||
0.491024 | + | 0.871146i | \(0.336623\pi\) | |||||||
\(720\) | −22.0533 | + | 11.2933i | −0.821879 | + | 0.420875i | ||||
\(721\) | −13.6720 | −0.509170 | ||||||||
\(722\) | −5.95039 | − | 22.2072i | −0.221451 | − | 0.826465i | ||||
\(723\) | 21.0789 | + | 2.64010i | 0.783933 | + | 0.0981864i | ||||
\(724\) | 1.64947 | − | 0.952322i | 0.0613021 | − | 0.0353928i | ||||
\(725\) | 5.70459 | − | 45.0874i | 0.211863 | − | 1.67450i | ||||
\(726\) | 23.9756 | + | 9.75452i | 0.889819 | + | 0.362024i | ||||
\(727\) | −21.8458 | + | 5.85357i | −0.810216 | + | 0.217097i | −0.640064 | − | 0.768321i | \(-0.721092\pi\) |
−0.170152 | + | 0.985418i | \(0.554426\pi\) | |||||||
\(728\) | 7.26214 | + | 7.26214i | 0.269153 | + | 0.269153i | ||||
\(729\) | 19.7998 | + | 18.3567i | 0.733324 | + | 0.679879i | ||||
\(730\) | 9.22876 | − | 27.4141i | 0.341572 | − | 1.01464i | ||||
\(731\) | 0.552741 | + | 0.319125i | 0.0204439 | + | 0.0118033i | ||||
\(732\) | −2.48237 | + | 1.04660i | −0.0917511 | + | 0.0386836i | ||||
\(733\) | −17.6531 | − | 4.73012i | −0.652031 | − | 0.174711i | −0.0823837 | − | 0.996601i | \(-0.526253\pi\) |
−0.569647 | + | 0.821890i | \(0.692920\pi\) | |||||||
\(734\) | 8.02751 | + | 13.9041i | 0.296301 | + | 0.513208i | ||||
\(735\) | −1.68226 | + | 3.48855i | −0.0620512 | + | 0.128677i | ||||
\(736\) | −2.29935 | + | 3.98260i | −0.0847553 | + | 0.146801i | ||||
\(737\) | 1.66743 | − | 1.66743i | 0.0614205 | − | 0.0614205i | ||||
\(738\) | 30.2002 | − | 0.380550i | 1.11169 | − | 0.0140082i | ||||
\(739\) | 35.9390i | 1.32204i | 0.750369 | + | 0.661019i | \(0.229876\pi\) | ||||
−0.750369 | + | 0.661019i | \(0.770124\pi\) | |||||||
\(740\) | −0.0989808 | + | 1.57087i | −0.00363861 | + | 0.0577462i | ||||
\(741\) | −8.80396 | + | 1.21554i | −0.323422 | + | 0.0446539i | ||||
\(742\) | −1.28233 | + | 4.78573i | −0.0470759 | + | 0.175690i | ||||
\(743\) | 2.33243 | − | 8.70475i | 0.0855686 | − | 0.319346i | −0.909853 | − | 0.414932i | \(-0.863806\pi\) |
0.995421 | + | 0.0955851i | \(0.0304722\pi\) | |||||||
\(744\) | −18.9124 | + | 2.61118i | −0.693362 | + | 0.0957306i | ||||
\(745\) | 20.3998 | − | 17.9814i | 0.747392 | − | 0.658788i | ||||
\(746\) | 28.0401i | 1.02662i | ||||||||
\(747\) | 16.5373 | − | 29.4956i | 0.605069 | − | 1.07919i | ||||
\(748\) | 0.0362033 | − | 0.0362033i | 0.00132372 | − | 0.00132372i | ||||
\(749\) | 5.00730 | − | 8.67290i | 0.182963 | − | 0.316901i | ||||
\(750\) | −25.1035 | − | 8.13504i | −0.916652 | − | 0.297050i | ||||
\(751\) | −1.00086 | − | 1.73353i | −0.0365217 | − | 0.0632575i | 0.847187 | − | 0.531295i | \(-0.178294\pi\) |
−0.883709 | + | 0.468038i | \(0.844961\pi\) | |||||||
\(752\) | 43.0716 | + | 11.5410i | 1.57066 | + | 0.420857i | ||||
\(753\) | 1.89860 | − | 0.800476i | 0.0691888 | − | 0.0291710i | ||||
\(754\) | 37.7240 | + | 21.7799i | 1.37383 | + | 0.793179i | ||||
\(755\) | −30.5457 | − | 10.2830i | −1.11167 | − | 0.374237i | ||||
\(756\) | −0.681098 | + | 0.297322i | −0.0247713 | + | 0.0108135i | ||||
\(757\) | 19.3813 | + | 19.3813i | 0.704427 | + | 0.704427i | 0.965358 | − | 0.260931i | \(-0.0840294\pi\) |
−0.260931 | + | 0.965358i | \(0.584029\pi\) | |||||||
\(758\) | −33.3737 | + | 8.94246i | −1.21219 | + | 0.324805i | ||||
\(759\) | −1.67279 | − | 0.680579i | −0.0607186 | − | 0.0247034i | ||||
\(760\) | 7.93523 | + | 5.27325i | 0.287841 | + | 0.191281i | ||||
\(761\) | −6.70687 | + | 3.87221i | −0.243124 | + | 0.140368i | −0.616612 | − | 0.787267i | \(-0.711495\pi\) |
0.373488 | + | 0.927635i | \(0.378162\pi\) | |||||||
\(762\) | −12.0373 | − | 1.50765i | −0.436064 | − | 0.0546163i | ||||
\(763\) | −0.531066 | − | 1.98197i | −0.0192259 | − | 0.0717520i | ||||
\(764\) | −1.08533 | −0.0392660 | ||||||||
\(765\) | 12.8248 | − | 2.75325i | 0.463681 | − | 0.0995441i | ||||
\(766\) | 9.12282 | 0.329621 | ||||||||
\(767\) | −1.71535 | − | 6.40178i | −0.0619377 | − | 0.231155i | ||||
\(768\) | 3.57070 | − | 4.71464i | 0.128847 | − | 0.170125i | ||||
\(769\) | 16.4536 | − | 9.49951i | 0.593333 | − | 0.342561i | −0.173081 | − | 0.984908i | \(-0.555372\pi\) |
0.766414 | + | 0.642347i | \(0.222039\pi\) | |||||||
\(770\) | 0.546858 | − | 0.110212i | 0.0197074 | − | 0.00397175i | ||||
\(771\) | −1.33198 | − | 9.64731i | −0.0479700 | − | 0.347439i | ||||
\(772\) | 3.12297 | − | 0.836798i | 0.112398 | − | 0.0301170i | ||||
\(773\) | −12.7109 | − | 12.7109i | −0.457178 | − | 0.457178i | 0.440550 | − | 0.897728i | \(-0.354784\pi\) |
−0.897728 | + | 0.440550i | \(0.854784\pi\) | |||||||
\(774\) | −0.329101 | + | 1.29319i | −0.0118293 | + | 0.0464826i | ||||
\(775\) | −15.0302 | − | 11.4131i | −0.539902 | − | 0.409970i | ||||
\(776\) | −24.3096 | − | 14.0351i | −0.872663 | − | 0.503832i | ||||
\(777\) | 1.05941 | − | 8.45846i | 0.0380061 | − | 0.303446i | ||||
\(778\) | 19.2237 | + | 5.15099i | 0.689205 | + | 0.184672i | ||||
\(779\) | −5.38962 | − | 9.33510i | −0.193103 | − | 0.334465i | ||||
\(780\) | −1.27146 | + | 1.47589i | −0.0455257 | + | 0.0528455i | ||||
\(781\) | 0.702752 | − | 1.21720i | 0.0251465 | − | 0.0435549i | ||||
\(782\) | −10.7307 | + | 10.7307i | −0.383729 | + | 0.383729i | ||||
\(783\) | −36.9198 | + | 29.4547i | −1.31941 | + | 1.05262i | ||||
\(784\) | 3.69350i | 0.131911i | ||||||||
\(785\) | 35.9763 | + | 2.26688i | 1.28405 | + | 0.0809083i | ||||
\(786\) | 3.57889 | − | 8.79656i | 0.127655 | − | 0.313763i | ||||
\(787\) | −10.9002 | + | 40.6801i | −0.388550 | + | 1.45009i | 0.443944 | + | 0.896054i | \(0.353579\pi\) |
−0.832494 | + | 0.554034i | \(0.813088\pi\) | |||||||
\(788\) | −0.447219 | + | 1.66904i | −0.0159315 | + | 0.0594572i | ||||
\(789\) | 2.88767 | + | 3.71459i | 0.102804 | + | 0.132243i | ||||
\(790\) | 0.210151 | + | 0.0132417i | 0.00747684 | + | 0.000471118i | ||||
\(791\) | − | 6.61179i | − | 0.235088i | ||||||
\(792\) | 1.39903 | + | 0.784395i | 0.0497124 | + | 0.0278723i | ||||
\(793\) | 27.0437 | − | 27.0437i | 0.960349 | − | 0.960349i | ||||
\(794\) | −23.0905 | + | 39.9939i | −0.819450 | + | 1.41933i | ||||
\(795\) | −13.8345 | − | 2.62519i | −0.490661 | − | 0.0931060i | ||||
\(796\) | −1.33941 | − | 2.31993i | −0.0474743 | − | 0.0822279i | ||||
\(797\) | −32.6889 | − | 8.75895i | −1.15790 | − | 0.310258i | −0.371772 | − | 0.928324i | \(-0.621250\pi\) |
−0.786126 | + | 0.618066i | \(0.787917\pi\) | |||||||
\(798\) | −2.74527 | − | 2.07917i | −0.0971814 | − | 0.0736018i | ||||
\(799\) | −20.4441 | − | 11.8034i | −0.723259 | − | 0.417574i | ||||
\(800\) | 4.00008 | − | 0.547166i | 0.141424 | − | 0.0193452i | ||||
\(801\) | −36.2407 | + | 37.1657i | −1.28050 | + | 1.31318i | ||||
\(802\) | 17.7472 | + | 17.7472i | 0.626676 | + | 0.626676i | ||||
\(803\) | −1.67870 | + | 0.449805i | −0.0592399 | + | 0.0158733i | ||||
\(804\) | −2.51912 | + | 1.95832i | −0.0888424 | + | 0.0690648i | ||||
\(805\) | 12.4839 | − | 2.51596i | 0.440001 | − | 0.0886761i | ||||
\(806\) | 15.6653 | − | 9.04439i | 0.551788 | − | 0.318575i | ||||
\(807\) | 4.28608 | + | 10.1659i | 0.150877 | + | 0.357856i | ||||
\(808\) | −3.27009 | − | 12.2041i | −0.115041 | − | 0.429340i | ||||
\(809\) | −28.7697 | −1.01149 | −0.505744 | − | 0.862684i | \(-0.668782\pi\) | ||||
−0.505744 | + | 0.862684i | \(0.668782\pi\) | |||||||
\(810\) | 12.8065 | + | 24.2502i | 0.449973 | + | 0.852064i | ||||
\(811\) | −12.1723 | −0.427426 | −0.213713 | − | 0.976897i | \(-0.568556\pi\) | ||||
−0.213713 | + | 0.976897i | \(0.568556\pi\) | |||||||
\(812\) | −0.336460 | − | 1.25569i | −0.0118074 | − | 0.0440659i | ||||
\(813\) | −15.4087 | − | 36.5469i | −0.540407 | − | 1.28176i | ||||
\(814\) | −1.06335 | + | 0.613925i | −0.0372704 | + | 0.0215181i | ||||
\(815\) | 1.68590 | + | 1.12034i | 0.0590544 | + | 0.0392437i | ||||
\(816\) | 9.87598 | − | 7.67744i | 0.345728 | − | 0.268764i | ||||
\(817\) | 0.460018 | − | 0.123261i | 0.0160940 | − | 0.00431237i | ||||
\(818\) | 18.3747 | + | 18.3747i | 0.642457 | + | 0.642457i | ||||
\(819\) | 7.36571 | − | 7.55370i | 0.257379 | − | 0.263948i | ||||
\(820\) | −2.23922 | − | 0.753819i | −0.0781971 | − | 0.0263245i | ||||
\(821\) | 8.44826 | + | 4.87760i | 0.294846 | + | 0.170230i | 0.640125 | − | 0.768271i | \(-0.278882\pi\) |
−0.345279 | + | 0.938500i | \(0.612216\pi\) | |||||||
\(822\) | −40.6360 | − | 30.7763i | −1.41734 | − | 1.07345i | ||||
\(823\) | −23.0135 | − | 6.16644i | −0.802200 | − | 0.214949i | −0.165650 | − | 0.986185i | \(-0.552972\pi\) |
−0.636549 | + | 0.771236i | \(0.719639\pi\) | |||||||
\(824\) | −19.9632 | − | 34.5773i | −0.695452 | − | 1.20456i | ||||
\(825\) | 0.427702 | + | 1.52671i | 0.0148907 | + | 0.0531531i | ||||
\(826\) | 1.28404 | − | 2.22403i | 0.0446776 | − | 0.0773839i | ||||
\(827\) | 10.8386 | − | 10.8386i | 0.376896 | − | 0.376896i | −0.493085 | − | 0.869981i | \(-0.664131\pi\) |
0.869981 | + | 0.493085i | \(0.164131\pi\) | |||||||
\(828\) | 2.13148 | + | 1.19506i | 0.0740740 | + | 0.0415311i | ||||
\(829\) | − | 36.8679i | − | 1.28047i | −0.768177 | − | 0.640237i | \(-0.778836\pi\) | ||
0.768177 | − | 0.640237i | \(-0.221164\pi\) | |||||||
\(830\) | 25.7657 | − | 22.7112i | 0.894342 | − | 0.788317i | ||||
\(831\) | −21.5848 | − | 27.7659i | −0.748767 | − | 0.963187i | ||||
\(832\) | −7.72534 | + | 28.8314i | −0.267828 | + | 0.999548i | ||||
\(833\) | 0.506086 | − | 1.88874i | 0.0175348 | − | 0.0654409i | ||||
\(834\) | −11.9673 | + | 29.4144i | −0.414393 | + | 1.01854i | ||||
\(835\) | −1.23444 | + | 19.5910i | −0.0427194 | + | 0.677975i | ||||
\(836\) | − | 0.0382035i | − | 0.00132130i | ||||||
\(837\) | 2.92701 | + | 19.3931i | 0.101172 | + | 0.670323i | ||||
\(838\) | 6.60810 | − | 6.60810i | 0.228273 | − | 0.228273i | ||||
\(839\) | 5.85897 | − | 10.1480i | 0.202274 | − | 0.350349i | −0.746987 | − | 0.664839i | \(-0.768500\pi\) |
0.949261 | + | 0.314490i | \(0.101834\pi\) | |||||||
\(840\) | −11.2792 | + | 0.839277i | −0.389168 | + | 0.0289578i | ||||
\(841\) | −26.8083 | − | 46.4333i | −0.924423 | − | 1.60115i | ||||
\(842\) | 4.03311 | + | 1.08067i | 0.138990 | + | 0.0372423i | ||||
\(843\) | 4.02008 | − | 32.0969i | 0.138459 | − | 1.10547i | ||||
\(844\) | 0.587508 | + | 0.339198i | 0.0202228 | + | 0.0116757i | ||||
\(845\) | −0.450874 | + | 1.33932i | −0.0155106 | + | 0.0460741i | ||||
\(846\) | 12.1724 | − | 47.8307i | 0.418495 | − | 1.64445i | ||||
\(847\) | 7.75447 | + | 7.75447i | 0.266447 | + | 0.266447i | ||||
\(848\) | −12.9713 | + | 3.47564i | −0.445435 | + | 0.119354i | ||||
\(849\) | −4.62244 | − | 33.4797i | −0.158642 | − | 1.14902i | ||||
\(850\) | 13.2176 | + | 1.67233i | 0.453360 | + | 0.0573605i | ||||
\(851\) | −24.2747 | + | 14.0150i | −0.832124 | + | 0.480427i | ||||
\(852\) | −1.14821 | + | 1.51606i | −0.0393372 | + | 0.0519395i | ||||
\(853\) | −0.881163 | − | 3.28854i | −0.0301704 | − | 0.112598i | 0.949199 | − | 0.314678i | \(-0.101896\pi\) |
−0.979369 | + | 0.202080i | \(0.935230\pi\) | |||||||
\(854\) | 14.8195 | 0.507113 | ||||||||
\(855\) | 5.31399 | − | 8.21936i | 0.181735 | − | 0.281096i | ||||
\(856\) | 29.2458 | 0.999601 | ||||||||
\(857\) | −5.93048 | − | 22.1328i | −0.202581 | − | 0.756044i | −0.990173 | − | 0.139846i | \(-0.955339\pi\) |
0.787592 | − | 0.616197i | \(-0.211328\pi\) | |||||||
\(858\) | −1.50787 | − | 0.188859i | −0.0514780 | − | 0.00644754i | ||||
\(859\) | −19.0841 | + | 11.0182i | −0.651141 | + | 0.375937i | −0.788893 | − | 0.614530i | \(-0.789346\pi\) |
0.137752 | + | 0.990467i | \(0.456012\pi\) | |||||||
\(860\) | 0.0577759 | − | 0.0869417i | 0.00197014 | − | 0.00296469i | ||||
\(861\) | 11.8528 | + | 4.82232i | 0.403941 | + | 0.164344i | ||||
\(862\) | −16.6547 | + | 4.46262i | −0.567262 | + | 0.151997i | ||||
\(863\) | 25.1266 | + | 25.1266i | 0.855319 | + | 0.855319i | 0.990782 | − | 0.135463i | \(-0.0432523\pi\) |
−0.135463 | + | 0.990782i | \(0.543252\pi\) | |||||||
\(864\) | −3.37636 | − | 2.49083i | −0.114866 | − | 0.0847396i | ||||
\(865\) | 15.1654 | + | 30.5578i | 0.515639 | + | 1.03900i | ||||
\(866\) | 19.5205 | + | 11.2702i | 0.663333 | + | 0.382975i | ||||
\(867\) | 21.0298 | − | 8.86644i | 0.714208 | − | 0.301120i | ||||
\(868\) | −0.521439 | − | 0.139719i | −0.0176988 | − | 0.00474238i | ||||
\(869\) | −0.00632565 | − | 0.0109563i | −0.000214583 | − | 0.000371669i | ||||
\(870\) | −45.2878 | + | 15.8201i | −1.53540 | + | 0.536351i | ||||
\(871\) | 22.6491 | − | 39.2294i | 0.767435 | − | 1.32924i | ||||
\(872\) | 4.23709 | − | 4.23709i | 0.143486 | − | 0.143486i | ||||
\(873\) | −14.1023 | + | 25.1526i | −0.477291 | + | 0.851286i | ||||
\(874\) | 11.3236i | 0.383025i | ||||||||
\(875\) | −8.46137 | − | 7.30788i | −0.286047 | − | 0.247052i | ||||
\(876\) | 2.32949 | − | 0.321626i | 0.0787061 | − | 0.0108667i | ||||
\(877\) | 5.57305 | − | 20.7989i | 0.188188 | − | 0.702329i | −0.805737 | − | 0.592274i | \(-0.798230\pi\) |
0.993925 | − | 0.110055i | \(-0.0351029\pi\) | |||||||
\(878\) | −7.35019 | + | 27.4313i | −0.248057 | + | 0.925761i | ||||
\(879\) | −37.5512 | + | 5.18459i | −1.26657 | + | 0.174872i | ||||
\(880\) | 0.999802 | + | 1.13427i | 0.0337033 | + | 0.0382362i | ||||
\(881\) | 52.4240i | 1.76621i | 0.469177 | + | 0.883104i | \(0.344551\pi\) | ||||
−0.469177 | + | 0.883104i | \(0.655449\pi\) | |||||||
\(882\) | 4.08780 | − | 0.0515100i | 0.137644 | − | 0.00173443i | ||||
\(883\) | −36.6950 | + | 36.6950i | −1.23488 | + | 1.23488i | −0.272819 | + | 0.962065i | \(0.587956\pi\) |
−0.962065 | + | 0.272819i | \(0.912044\pi\) | |||||||
\(884\) | 0.491758 | − | 0.851750i | 0.0165396 | − | 0.0286474i | ||||
\(885\) | 6.57434 | + | 3.17030i | 0.220994 | + | 0.106569i | ||||
\(886\) | 8.14324 | + | 14.1045i | 0.273577 | + | 0.473850i | ||||
\(887\) | 17.1253 | + | 4.58871i | 0.575011 | + | 0.154074i | 0.534594 | − | 0.845109i | \(-0.320465\pi\) |
0.0404174 | + | 0.999183i | \(0.487131\pi\) | |||||||
\(888\) | 22.9389 | − | 9.67138i | 0.769780 | − | 0.324550i | ||||
\(889\) | −4.45117 | − | 2.56988i | −0.149287 | − | 0.0861912i | ||||
\(890\) | −47.2290 | + | 23.4391i | −1.58312 | + | 0.785680i | ||||
\(891\) | 0.787625 | − | 1.44724i | 0.0263864 | − | 0.0484844i | ||||
\(892\) | 0.513722 | + | 0.513722i | 0.0172007 | + | 0.0172007i | ||||
\(893\) | −17.0146 | + | 4.55904i | −0.569370 | + | 0.152562i | ||||
\(894\) | −26.5878 | − | 10.8173i | −0.889228 | − | 0.361784i | ||||
\(895\) | −0.195236 | − | 0.968740i | −0.00652603 | − | 0.0323814i | ||||
\(896\) | −8.61769 | + | 4.97543i | −0.287897 | + | 0.166217i | ||||
\(897\) | −34.4225 | − | 4.31136i | −1.14933 | − | 0.143952i | ||||
\(898\) | 1.81377 | + | 6.76908i | 0.0605263 | + | 0.225887i | ||||
\(899\) | −34.3076 | −1.14422 | ||||||||
\(900\) | −0.317509 | − | 2.12171i | −0.0105836 | − | 0.0707236i | ||||
\(901\) | 7.10933 | 0.236846 | ||||||||
\(902\) | −0.477036 | − | 1.78032i | −0.0158836 | − | 0.0592783i | ||||
\(903\) | −0.341336 | + | 0.450688i | −0.0113589 | + | 0.0149980i | ||||
\(904\) | 16.7217 | − | 9.65426i | 0.556155 | − | 0.321096i | ||||
\(905\) | −5.88305 | − | 29.1911i | −0.195559 | − | 0.970344i | ||||
\(906\) | 4.65298 | + | 33.7008i | 0.154585 | + | 1.11964i | ||||
\(907\) | 11.3958 | − | 3.05350i | 0.378392 | − | 0.101390i | −0.0646096 | − | 0.997911i | \(-0.520580\pi\) |
0.443002 | + | 0.896521i | \(0.353914\pi\) | |||||||
\(908\) | −1.45100 | − | 1.45100i | −0.0481531 | − | 0.0481531i | ||||
\(909\) | −12.4938 | + | 3.51701i | −0.414393 | + | 0.116652i | ||||
\(910\) | 9.59902 | − | 4.76386i | 0.318205 | − | 0.157920i | ||||
\(911\) | −4.20936 | − | 2.43027i | −0.139462 | − | 0.0805185i | 0.428645 | − | 0.903473i | \(-0.358991\pi\) |
−0.568108 | + | 0.822954i | \(0.692324\pi\) | |||||||
\(912\) | 1.16000 | − | 9.26162i | 0.0384115 | − | 0.306683i | ||||
\(913\) | −1.99328 | − | 0.534097i | −0.0659678 | − | 0.0176760i | ||||
\(914\) | 18.6680 | + | 32.3340i | 0.617483 | + | 1.06951i | ||||
\(915\) | 3.12540 | + | 42.0027i | 0.103323 | + | 1.38857i | ||||
\(916\) | −0.245819 | + | 0.425771i | −0.00812210 | + | 0.0140679i | ||||
\(917\) | 2.84508 | − | 2.84508i | 0.0939529 | − | 0.0939529i | ||||
\(918\) | −8.63479 | − | 10.8232i | −0.284990 | − | 0.357220i | ||||
\(919\) | 34.7802i | 1.14729i | 0.819103 | + | 0.573646i | \(0.194472\pi\) | ||||
−0.819103 | + | 0.573646i | \(0.805528\pi\) | |||||||
\(920\) | 24.5916 | + | 27.8990i | 0.810760 | + | 0.919803i | ||||
\(921\) | −1.92333 | + | 4.72736i | −0.0633760 | + | 0.155772i | ||||
\(922\) | 6.91394 | − | 25.8032i | 0.227698 | − | 0.849782i | ||||
\(923\) | 6.98790 | − | 26.0792i | 0.230010 | − | 0.858408i | ||||
\(924\) | 0.0278346 | + | 0.0358055i | 0.000915692 | + | 0.00117791i | ||||
\(925\) | 22.7823 | + | 9.30234i | 0.749077 | + | 0.305859i | ||||
\(926\) | 26.4648i | 0.869686i | ||||||||
\(927\) | −35.2596 | + | 20.9539i | −1.15808 | + | 0.688215i | ||||
\(928\) | 5.18971 | − | 5.18971i | 0.170360 | − | 0.170360i | ||||
\(929\) | 2.61251 | − | 4.52500i | 0.0857137 | − | 0.148461i | −0.819981 | − | 0.572390i | \(-0.806016\pi\) |
0.905695 | + | 0.423930i | \(0.139350\pi\) | |||||||
\(930\) | −3.71381 | + | 19.5715i | −0.121781 | + | 0.641774i | ||||
\(931\) | −0.729522 | − | 1.26357i | −0.0239091 | − | 0.0414118i | ||||
\(932\) | −0.335327 | − | 0.0898507i | −0.0109840 | − | 0.00294316i | ||||
\(933\) | 15.1199 | + | 11.4513i | 0.495004 | + | 0.374899i | ||||
\(934\) | 23.9590 | + | 13.8327i | 0.783963 | + | 0.452621i | ||||
\(935\) | −0.355848 | − | 0.717023i | −0.0116375 | − | 0.0234492i | ||||
\(936\) | 29.8589 | + | 7.59877i | 0.975970 | + | 0.248374i | ||||
\(937\) | −2.93968 | − | 2.93968i | −0.0960353 | − | 0.0960353i | 0.657457 | − | 0.753492i | \(-0.271632\pi\) |
−0.753492 | + | 0.657457i | \(0.771632\pi\) | |||||||
\(938\) | 16.9542 | − | 4.54287i | 0.553575 | − | 0.148330i | ||||
\(939\) | −16.4289 | + | 12.7716i | −0.536136 | + | 0.416784i | ||||
\(940\) | −2.13694 | + | 3.21569i | −0.0696993 | + | 0.104884i | ||||
\(941\) | −25.1347 | + | 14.5115i | −0.819368 | + | 0.473063i | −0.850199 | − | 0.526462i | \(-0.823518\pi\) |
0.0308303 | + | 0.999525i | \(0.490185\pi\) | |||||||
\(942\) | −14.7823 | − | 35.0612i | −0.481634 | − | 1.14236i | ||||
\(943\) | −10.8900 | − | 40.6421i | −0.354627 | − | 1.32349i | ||||
\(944\) | 6.96057 | 0.226547 | ||||||||
\(945\) | 1.00810 | + | 11.5751i | 0.0327936 | + | 0.376539i | ||||
\(946\) | 0.0814325 | 0.00264760 | ||||||||
\(947\) | 13.7165 | + | 51.1907i | 0.445727 | + | 1.66348i | 0.714010 | + | 0.700135i | \(0.246877\pi\) |
−0.268283 | + | 0.963340i | \(0.586456\pi\) | |||||||
\(948\) | 0.00665051 | + | 0.0157739i | 0.000215998 | + | 0.000512313i | ||||
\(949\) | −28.9119 | + | 16.6923i | −0.938521 | + | 0.541855i | ||||
\(950\) | 7.85630 | − | 6.09157i | 0.254892 | − | 0.197637i | ||||
\(951\) | −7.89502 | + | 6.13747i | −0.256013 | + | 0.199021i | ||||
\(952\) | 5.51571 | − | 1.47793i | 0.178765 | − | 0.0479000i | ||||
\(953\) | 22.7166 | + | 22.7166i | 0.735864 | + | 0.735864i | 0.971775 | − | 0.235911i | \(-0.0758074\pi\) |
−0.235911 | + | 0.971775i | \(0.575807\pi\) | |||||||
\(954\) | 4.02759 | + | 14.3076i | 0.130398 | + | 0.463225i | ||||
\(955\) | −5.41380 | + | 16.0817i | −0.175187 | + | 0.520392i | ||||
\(956\) | 3.35677 | + | 1.93803i | 0.108566 | + | 0.0626805i | ||||
\(957\) | 2.29762 | + | 1.74014i | 0.0742715 | + | 0.0562507i | ||||
\(958\) | −25.6759 | − | 6.87984i | −0.829551 | − | 0.222278i | ||||
\(959\) | −10.7985 | − | 18.7036i | −0.348703 | − | 0.603971i | ||||
\(960\) | −18.5028 | − | 27.1693i | −0.597174 | − | 0.876886i | ||||
\(961\) | 8.37668 | − | 14.5088i | 0.270215 | − | 0.468027i | ||||
\(962\) | −16.6782 | + | 16.6782i | −0.537726 | + | 0.537726i | ||||
\(963\) | −0.378548 | − | 30.0414i | −0.0121986 | − | 0.968071i | ||||
\(964\) | 1.75417i | 0.0564980i | ||||||||
\(965\) | 3.17876 | − | 50.4482i | 0.102328 | − | 1.62398i | ||||
\(966\) | −8.25022 | − | 10.6128i | −0.265446 | − | 0.341461i | ||||
\(967\) | −14.6518 | + | 54.6811i | −0.471169 | + | 1.75843i | 0.164412 | + | 0.986392i | \(0.447427\pi\) |
−0.635581 | + | 0.772034i | \(0.719239\pi\) | |||||||
\(968\) | −8.28884 | + | 30.9344i | −0.266413 | + | 0.994268i | ||||
\(969\) | −1.86222 | + | 4.57715i | −0.0598232 | + | 0.147039i | ||||
\(970\) | −21.9719 | + | 19.3671i | −0.705475 | + | 0.621840i | ||||
\(971\) | 50.3139i | 1.61465i | 0.590107 | + | 0.807325i | \(0.299086\pi\) | ||||
−0.590107 | + | 0.807325i | \(0.700914\pi\) | |||||||
\(972\) | −1.30085 | + | 1.81065i | −0.0417248 | + | 0.0580766i | ||||
\(973\) | −9.51354 | + | 9.51354i | −0.304990 | + | 0.304990i | ||||
\(974\) | −28.6238 | + | 49.5778i | −0.917165 | + | 1.58858i | ||||
\(975\) | 15.5265 | + | 26.2017i | 0.497247 | + | 0.839125i | ||||
\(976\) | 20.0835 | + | 34.7856i | 0.642856 | + | 1.11346i | ||||
\(977\) | −29.1091 | − | 7.79975i | −0.931282 | − | 0.249536i | −0.238881 | − | 0.971049i | \(-0.576781\pi\) |
−0.692401 | + | 0.721513i | \(0.743447\pi\) | |||||||
\(978\) | 0.265537 | − | 2.12009i | 0.00849095 | − | 0.0677928i | ||||
\(979\) | 2.74343 | + | 1.58392i | 0.0876804 | + | 0.0506223i | ||||
\(980\) | −0.303094 | − | 0.102034i | −0.00968198 | − | 0.00325937i | ||||
\(981\) | −4.40720 | − | 4.29751i | −0.140711 | − | 0.137209i | ||||
\(982\) | 18.8370 | + | 18.8370i | 0.601111 | + | 0.601111i | ||||
\(983\) | 7.44685 | − | 1.99538i | 0.237518 | − | 0.0636426i | −0.138097 | − | 0.990419i | \(-0.544098\pi\) |
0.375614 | + | 0.926776i | \(0.377432\pi\) | |||||||
\(984\) | 5.11094 | + | 37.0178i | 0.162931 | + | 1.18008i | ||||
\(985\) | 22.5000 | + | 14.9520i | 0.716908 | + | 0.476411i | ||||
\(986\) | 20.9747 | − | 12.1097i | 0.667970 | − | 0.385653i | ||||
\(987\) | 12.6249 | − | 16.6695i | 0.401854 | − | 0.530595i | ||||
\(988\) | −0.189941 | − | 0.708868i | −0.00604282 | − | 0.0225521i | ||||
\(989\) | 1.85898 | 0.0591121 | ||||||||
\(990\) | 1.24142 | − | 1.12236i | 0.0394548 | − | 0.0356708i | ||||
\(991\) | 8.12399 | 0.258067 | 0.129034 | − | 0.991640i | \(-0.458813\pi\) | ||||
0.129034 | + | 0.991640i | \(0.458813\pi\) | |||||||
\(992\) | −0.788818 | − | 2.94391i | −0.0250450 | − | 0.0934692i | ||||
\(993\) | 56.6550 | + | 7.09595i | 1.79789 | + | 0.225183i | ||||
\(994\) | 9.06014 | − | 5.23087i | 0.287370 | − | 0.165913i | ||||
\(995\) | −41.0564 | + | 8.27435i | −1.30158 | + | 0.262315i | ||||
\(996\) | 2.58640 | + | 1.05228i | 0.0819531 | + | 0.0333428i | ||||
\(997\) | 45.2386 | − | 12.1217i | 1.43272 | − | 0.383897i | 0.542743 | − | 0.839899i | \(-0.317386\pi\) |
0.889979 | + | 0.456002i | \(0.150719\pi\) | |||||||
\(998\) | 14.1005 | + | 14.1005i | 0.446345 | + | 0.446345i | ||||
\(999\) | −10.2314 | − | 23.4378i | −0.323707 | − | 0.741539i |
(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 | 315.2.cc.a.92.10 | ✓ | 144 | |
3.2 | odd | 2 | 945.2.cf.a.197.27 | 144 | |||
5.3 | odd | 4 | inner | 315.2.cc.a.218.10 | yes | 144 | |
9.4 | even | 3 | 945.2.cf.a.827.27 | 144 | |||
9.5 | odd | 6 | inner | 315.2.cc.a.302.10 | yes | 144 | |
15.8 | even | 4 | 945.2.cf.a.8.27 | 144 | |||
45.13 | odd | 12 | 945.2.cf.a.638.27 | 144 | |||
45.23 | even | 12 | inner | 315.2.cc.a.113.10 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
315.2.cc.a.92.10 | ✓ | 144 | 1.1 | even | 1 | trivial | |
315.2.cc.a.113.10 | yes | 144 | 45.23 | even | 12 | inner | |
315.2.cc.a.218.10 | yes | 144 | 5.3 | odd | 4 | inner | |
315.2.cc.a.302.10 | yes | 144 | 9.5 | odd | 6 | inner | |
945.2.cf.a.8.27 | 144 | 15.8 | even | 4 | |||
945.2.cf.a.197.27 | 144 | 3.2 | odd | 2 | |||
945.2.cf.a.638.27 | 144 | 45.13 | odd | 12 | |||
945.2.cf.a.827.27 | 144 | 9.4 | even | 3 |