Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [360,2,Mod(109,360)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(360, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 1, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("360.109");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 360 = 2^{3} \cdot 3^{2} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 360.d (of order \(2\), degree \(1\), 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: | \(2.87461447277\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | 6.0.839056.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} + 6x^{4} + 8x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{2} \) |
Twist minimal: | no (minimal twist has level 120) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 109.6 | ||
Root | \(1.32132i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 360.109 |
Dual form | 360.2.d.f.109.5 |
$q$-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 \(\left(\mathbb{Z}/360\mathbb{Z}\right)^\times\).
\(n\) | \(181\) | \(217\) | \(271\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.34067 | + | 0.450129i | 0.947994 | + | 0.318290i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.59477 | + | 1.20695i | 0.797384 | + | 0.603473i | ||||
\(5\) | 0.254102 | − | 2.22158i | 0.113638 | − | 0.993522i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.64265i | 0.998827i | 0.866364 | + | 0.499414i | \(0.166451\pi\) | ||||
−0.866364 | + | 0.499414i | \(0.833549\pi\) | |||||||
\(8\) | 1.59477 | + | 2.33596i | 0.563835 | + | 0.825887i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.34067 | − | 2.86402i | 0.423956 | − | 0.905683i | ||||
\(11\) | 1.51363i | 0.456377i | 0.973617 | + | 0.228189i | \(0.0732803\pi\) | ||||
−0.973617 | + | 0.228189i | \(0.926720\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 3.87086 | 1.07358 | 0.536792 | − | 0.843714i | \(-0.319636\pi\) | ||||
0.536792 | + | 0.843714i | \(0.319636\pi\) | |||||||
\(14\) | −1.18953 | + | 3.54291i | −0.317916 | + | 0.946882i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 1.08656 | + | 3.84959i | 0.271641 | + | 0.962399i | ||||
\(17\) | − | 3.31415i | − | 0.803800i | −0.915684 | − | 0.401900i | \(-0.868350\pi\) | ||
0.915684 | − | 0.401900i | \(-0.131650\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | − | 7.08582i | − | 1.62560i | −0.582545 | − | 0.812799i | \(-0.697943\pi\) | ||
0.582545 | − | 0.812799i | \(-0.302057\pi\) | |||||||
\(20\) | 3.08656 | − | 3.23622i | 0.690177 | − | 0.723641i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.681331 | + | 2.02927i | −0.145260 | + | 0.432643i | ||||
\(23\) | 4.82778i | 1.00666i | 0.864094 | + | 0.503331i | \(0.167892\pi\) | ||||
−0.864094 | + | 0.503331i | \(0.832108\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.87086 | − | 1.12902i | −0.974173 | − | 0.225803i | ||||
\(26\) | 5.18953 | + | 1.74239i | 1.01775 | + | 0.341711i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −3.18953 | + | 4.21441i | −0.602765 | + | 0.796448i | ||||
\(29\) | − | 2.18513i | − | 0.405769i | −0.979203 | − | 0.202885i | \(-0.934968\pi\) | ||
0.979203 | − | 0.202885i | \(-0.0650316\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −7.36266 | −1.32237 | −0.661187 | − | 0.750222i | \(-0.729947\pi\) | ||||
−0.661187 | + | 0.750222i | \(0.729947\pi\) | |||||||
\(32\) | −0.276098 | + | 5.65011i | −0.0488076 | + | 0.998808i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 1.49180 | − | 4.44317i | 0.255841 | − | 0.761997i | ||||
\(35\) | 5.87086 | + | 0.671502i | 0.992357 | + | 0.113504i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −7.87086 | −1.29396 | −0.646981 | − | 0.762506i | \(-0.723969\pi\) | ||||
−0.646981 | + | 0.762506i | \(0.723969\pi\) | |||||||
\(38\) | 3.18953 | − | 9.49971i | 0.517411 | − | 1.54106i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 5.59477 | − | 2.94934i | 0.884610 | − | 0.466331i | ||||
\(41\) | −8.72532 | −1.36267 | −0.681333 | − | 0.731973i | \(-0.738600\pi\) | ||||
−0.681333 | + | 0.731973i | \(0.738600\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.01641 | 0.155001 | 0.0775003 | − | 0.996992i | \(-0.475306\pi\) | ||||
0.0775003 | + | 0.996992i | \(0.475306\pi\) | |||||||
\(44\) | −1.82687 | + | 2.41389i | −0.275411 | + | 0.363908i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −2.17313 | + | 6.47244i | −0.320410 | + | 0.954309i | ||||
\(47\) | 7.08582i | 1.03357i | 0.856114 | + | 0.516786i | \(0.172872\pi\) | ||||
−0.856114 | + | 0.516786i | \(0.827128\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.0164068 | 0.00234382 | ||||||||
\(50\) | −6.02200 | − | 3.70615i | −0.851639 | − | 0.524129i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 6.17313 | + | 4.67192i | 0.856059 | + | 0.647879i | ||||
\(53\) | −4.50820 | −0.619249 | −0.309625 | − | 0.950859i | \(-0.600203\pi\) | ||||
−0.309625 | + | 0.950859i | \(0.600203\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 3.36266 | + | 0.384617i | 0.453421 | + | 0.0518617i | ||||
\(56\) | −6.17313 | + | 4.21441i | −0.824919 | + | 0.563174i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0.983593 | − | 2.92953i | 0.129152 | − | 0.384667i | ||||
\(59\) | − | 6.79893i | − | 0.885145i | −0.896733 | − | 0.442573i | \(-0.854066\pi\) | ||
0.896733 | − | 0.442573i | \(-0.145934\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | − | 3.60104i | − | 0.461065i | −0.973065 | − | 0.230533i | \(-0.925953\pi\) | ||
0.973065 | − | 0.230533i | \(-0.0740469\pi\) | |||||||
\(62\) | −9.87086 | − | 3.31415i | −1.25360 | − | 0.420898i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −2.91344 | + | 7.45063i | −0.364180 | + | 0.931329i | ||||
\(65\) | 0.983593 | − | 8.59945i | 0.122000 | − | 1.06663i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −1.01641 | −0.124174 | −0.0620869 | − | 0.998071i | \(-0.519776\pi\) | ||||
−0.0620869 | + | 0.998071i | \(0.519776\pi\) | |||||||
\(68\) | 4.00000 | − | 5.28530i | 0.485071 | − | 0.640937i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 7.56860 | + | 3.54291i | 0.904621 | + | 0.423458i | ||||
\(71\) | 6.72532 | 0.798149 | 0.399074 | − | 0.916919i | \(-0.369331\pi\) | ||||
0.399074 | + | 0.916919i | \(0.369331\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | − | 15.5146i | − | 1.81585i | −0.419132 | − | 0.907925i | \(-0.637666\pi\) | ||
0.419132 | − | 0.907925i | \(-0.362334\pi\) | |||||||
\(74\) | −10.5522 | − | 3.54291i | −1.22667 | − | 0.411855i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 8.55220 | − | 11.3002i | 0.981004 | − | 1.29622i | ||||
\(77\) | −4.00000 | −0.455842 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 7.36266 | 0.828364 | 0.414182 | − | 0.910194i | \(-0.364068\pi\) | ||||
0.414182 | + | 0.910194i | \(0.364068\pi\) | |||||||
\(80\) | 8.82829 | − | 1.43570i | 0.987033 | − | 0.160516i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −11.6977 | − | 3.92752i | −1.29180 | − | 0.433723i | ||||
\(83\) | −7.74173 | −0.849765 | −0.424883 | − | 0.905248i | \(-0.639685\pi\) | ||||
−0.424883 | + | 0.905248i | \(0.639685\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −7.36266 | − | 0.842131i | −0.798593 | − | 0.0913420i | ||||
\(86\) | 1.36266 | + | 0.457515i | 0.146940 | + | 0.0493351i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −3.53579 | + | 2.41389i | −0.376916 | + | 0.257322i | ||||
\(89\) | 14.7581 | 1.56436 | 0.782180 | − | 0.623053i | \(-0.214108\pi\) | ||||
0.782180 | + | 0.623053i | \(0.214108\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 10.2293i | 1.07233i | ||||||||
\(92\) | −5.82687 | + | 7.69919i | −0.607493 | + | 0.802696i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −3.18953 | + | 9.49971i | −0.328975 | + | 0.979820i | ||||
\(95\) | −15.7417 | − | 1.80052i | −1.61507 | − | 0.184729i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 11.1444i | 1.13154i | 0.824563 | + | 0.565769i | \(0.191421\pi\) | ||||
−0.824563 | + | 0.565769i | \(0.808579\pi\) | |||||||
\(98\) | 0.0219960 | + | 0.00738516i | 0.00222193 | + | 0.000746014i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −6.40523 | − | 7.67939i | −0.640523 | − | 0.767939i | ||||
\(101\) | 13.3295i | 1.32633i | 0.748471 | + | 0.663167i | \(0.230788\pi\) | ||||
−0.748471 | + | 0.663167i | \(0.769212\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0.958386i | 0.0944326i | 0.998885 | + | 0.0472163i | \(0.0150350\pi\) | ||||
−0.998885 | + | 0.0472163i | \(0.984965\pi\) | |||||||
\(104\) | 6.17313 | + | 9.04219i | 0.605325 | + | 0.886660i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −6.04399 | − | 2.02927i | −0.587044 | − | 0.197101i | ||||
\(107\) | 4.00000 | 0.386695 | 0.193347 | − | 0.981130i | \(-0.438066\pi\) | ||||
0.193347 | + | 0.981130i | \(0.438066\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | − | 0.769233i | − | 0.0736792i | −0.999321 | − | 0.0368396i | \(-0.988271\pi\) | ||
0.999321 | − | 0.0368396i | \(-0.0117291\pi\) | |||||||
\(110\) | 4.33508 | + | 2.02927i | 0.413333 | + | 0.193484i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −10.1731 | + | 2.87141i | −0.961270 | + | 0.271322i | ||||
\(113\) | − | 14.4585i | − | 1.36014i | −0.733146 | − | 0.680071i | \(-0.761949\pi\) | ||
0.733146 | − | 0.680071i | \(-0.238051\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 10.7253 | + | 1.22675i | 1.00014 | + | 0.114395i | ||||
\(116\) | 2.63734 | − | 3.48478i | 0.244871 | − | 0.323554i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 3.06040 | − | 9.11509i | 0.281733 | − | 0.839112i | ||||
\(119\) | 8.75814 | 0.802857 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 8.70892 | 0.791720 | ||||||||
\(122\) | 1.62093 | − | 4.82778i | 0.146752 | − | 0.437087i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −11.7417 | − | 8.88633i | −1.05444 | − | 0.798016i | ||||
\(125\) | −3.74590 | + | 10.5341i | −0.335043 | + | 0.942203i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 11.5290i | 1.02303i | 0.859274 | + | 0.511516i | \(0.170916\pi\) | ||||
−0.859274 | + | 0.511516i | \(0.829084\pi\) | |||||||
\(128\) | −7.25969 | + | 8.67738i | −0.641672 | + | 0.766979i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 5.18953 | − | 11.0862i | 0.455152 | − | 0.972327i | ||||
\(131\) | − | 7.37270i | − | 0.644156i | −0.946713 | − | 0.322078i | \(-0.895619\pi\) | ||
0.946713 | − | 0.322078i | \(-0.104381\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 18.7253 | 1.62369 | ||||||||
\(134\) | −1.36266 | − | 0.457515i | −0.117716 | − | 0.0395232i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 7.74173 | − | 5.28530i | 0.663848 | − | 0.453211i | ||||
\(137\) | 3.88792i | 0.332167i | 0.986112 | + | 0.166084i | \(0.0531122\pi\) | ||||
−0.986112 | + | 0.166084i | \(0.946888\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 14.6291i | 1.24083i | 0.784275 | + | 0.620414i | \(0.213035\pi\) | ||||
−0.784275 | + | 0.620414i | \(0.786965\pi\) | |||||||
\(140\) | 8.55220 | + | 8.15670i | 0.722792 | + | 0.689367i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 9.01641 | + | 3.02727i | 0.756640 | + | 0.254042i | ||||
\(143\) | 5.85907i | 0.489960i | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −4.85446 | − | 0.555246i | −0.403141 | − | 0.0461107i | ||||
\(146\) | 6.98359 | − | 20.7999i | 0.577966 | − | 1.72141i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −12.5522 | − | 9.49971i | −1.03178 | − | 0.780871i | ||||
\(149\) | − | 11.0715i | − | 0.907010i | −0.891254 | − | 0.453505i | \(-0.850173\pi\) | ||
0.891254 | − | 0.453505i | \(-0.149827\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 0.637339 | 0.0518659 | 0.0259329 | − | 0.999664i | \(-0.491744\pi\) | ||||
0.0259329 | + | 0.999664i | \(0.491744\pi\) | |||||||
\(152\) | 16.5522 | − | 11.3002i | 1.34256 | − | 0.916569i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −5.36266 | − | 1.80052i | −0.432136 | − | 0.145090i | ||||
\(155\) | −1.87086 | + | 16.3568i | −0.150271 | + | 1.31381i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 0.129135 | 0.0103061 | 0.00515306 | − | 0.999987i | \(-0.498360\pi\) | ||||
0.00515306 | + | 0.999987i | \(0.498360\pi\) | |||||||
\(158\) | 9.87086 | + | 3.31415i | 0.785284 | + | 0.263660i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 12.4820 | + | 2.04908i | 0.986792 | + | 0.161994i | ||||
\(161\) | −12.7581 | −1.00548 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −19.4835 | −1.52606 | −0.763031 | − | 0.646362i | \(-0.776290\pi\) | ||||
−0.763031 | + | 0.646362i | \(0.776290\pi\) | |||||||
\(164\) | −13.9149 | − | 10.5310i | −1.08657 | − | 0.822332i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −10.3791 | − | 3.48478i | −0.805572 | − | 0.270471i | ||||
\(167\) | − | 1.80052i | − | 0.139328i | −0.997571 | − | 0.0696641i | \(-0.977807\pi\) | ||
0.997571 | − | 0.0696641i | \(-0.0221928\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1.98359 | 0.152584 | ||||||||
\(170\) | −9.49180 | − | 4.44317i | −0.727988 | − | 0.340775i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 1.62093 | + | 1.22675i | 0.123595 | + | 0.0935386i | ||||
\(173\) | 23.2335 | 1.76641 | 0.883206 | − | 0.468985i | \(-0.155380\pi\) | ||||
0.883206 | + | 0.468985i | \(0.155380\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 2.98359 | − | 12.8720i | 0.225538 | − | 0.973031i | ||||
\(176\) | −5.82687 | + | 1.64466i | −0.439217 | + | 0.123971i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 19.7857 | + | 6.64307i | 1.48300 | + | 0.497919i | ||||
\(179\) | − | 2.85664i | − | 0.213515i | −0.994285 | − | 0.106757i | \(-0.965953\pi\) | ||
0.994285 | − | 0.106757i | \(-0.0340468\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 5.28530i | 0.392853i | 0.980519 | + | 0.196427i | \(0.0629337\pi\) | ||||
−0.980519 | + | 0.196427i | \(0.937066\pi\) | |||||||
\(182\) | −4.60453 | + | 13.7141i | −0.341310 | + | 1.01656i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −11.2775 | + | 7.69919i | −0.831390 | + | 0.567592i | ||||
\(185\) | −2.00000 | + | 17.4858i | −0.147043 | + | 1.28558i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 5.01641 | 0.366836 | ||||||||
\(188\) | −8.55220 | + | 11.3002i | −0.623733 | + | 0.824154i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −20.2939 | − | 9.49971i | −1.47228 | − | 0.689181i | ||||
\(191\) | 5.96719 | 0.431770 | 0.215885 | − | 0.976419i | \(-0.430736\pi\) | ||||
0.215885 | + | 0.976419i | \(0.430736\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 14.9409i | 1.07547i | 0.843115 | + | 0.537733i | \(0.180719\pi\) | ||||
−0.843115 | + | 0.537733i | \(0.819281\pi\) | |||||||
\(194\) | −5.01641 | + | 14.9409i | −0.360157 | + | 1.07269i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0.0261649 | + | 0.0198021i | 0.00186892 | + | 0.00141443i | ||||
\(197\) | −3.23353 | −0.230379 | −0.115190 | − | 0.993344i | \(-0.536748\pi\) | ||||
−0.115190 | + | 0.993344i | \(0.536748\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 8.12080 | 0.575668 | 0.287834 | − | 0.957680i | \(-0.407065\pi\) | ||||
0.287834 | + | 0.957680i | \(0.407065\pi\) | |||||||
\(200\) | −5.13056 | − | 13.1787i | −0.362785 | − | 0.931873i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −6.00000 | + | 17.8704i | −0.422159 | + | 1.25736i | ||||
\(203\) | 5.77454 | 0.405293 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −2.21712 | + | 19.3840i | −0.154850 | + | 1.35384i | ||||
\(206\) | −0.431398 | + | 1.28488i | −0.0300569 | + | 0.0895215i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 4.20594 | + | 14.9013i | 0.291630 | + | 1.03322i | ||||
\(209\) | 10.7253 | 0.741886 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | − | 13.7141i | − | 0.944119i | −0.881567 | − | 0.472059i | \(-0.843511\pi\) | ||
0.881567 | − | 0.472059i | \(-0.156489\pi\) | |||||||
\(212\) | −7.18953 | − | 5.44116i | −0.493779 | − | 0.373700i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 5.36266 | + | 1.80052i | 0.366584 | + | 0.123081i | ||||
\(215\) | 0.258271 | − | 2.25803i | 0.0176139 | − | 0.153997i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | − | 19.4569i | − | 1.32082i | ||||||
\(218\) | 0.346255 | − | 1.03128i | 0.0234513 | − | 0.0698474i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 4.89845 | + | 4.67192i | 0.330253 | + | 0.314981i | ||||
\(221\) | − | 12.8286i | − | 0.862947i | ||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 9.84472i | 0.659251i | 0.944112 | + | 0.329626i | \(0.106923\pi\) | ||||
−0.944112 | + | 0.329626i | \(0.893077\pi\) | |||||||
\(224\) | −14.9313 | − | 0.729629i | −0.997637 | − | 0.0487504i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 6.50820 | − | 19.3840i | 0.432919 | − | 1.28941i | ||||
\(227\) | 5.70892 | 0.378914 | 0.189457 | − | 0.981889i | \(-0.439327\pi\) | ||||
0.189457 | + | 0.981889i | \(0.439327\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 0.769233i | 0.0508324i | 0.999677 | + | 0.0254162i | \(0.00809109\pi\) | ||||
−0.999677 | + | 0.0254162i | \(0.991909\pi\) | |||||||
\(230\) | 13.8269 | + | 6.47244i | 0.911717 | + | 0.426780i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 5.10439 | − | 3.48478i | 0.335120 | − | 0.228787i | ||||
\(233\) | 18.4008i | 1.20548i | 0.797939 | + | 0.602739i | \(0.205924\pi\) | ||||
−0.797939 | + | 0.602739i | \(0.794076\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 15.7417 | + | 1.80052i | 1.02688 | + | 0.117453i | ||||
\(236\) | 8.20594 | − | 10.8427i | 0.534161 | − | 0.705800i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 11.7417 | + | 3.94229i | 0.761103 | + | 0.255541i | ||||
\(239\) | 10.0328 | 0.648969 | 0.324484 | − | 0.945891i | \(-0.394809\pi\) | ||||
0.324484 | + | 0.945891i | \(0.394809\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 10.7581 | 0.692992 | 0.346496 | − | 0.938051i | \(-0.387371\pi\) | ||||
0.346496 | + | 0.938051i | \(0.387371\pi\) | |||||||
\(242\) | 11.6757 | + | 3.92014i | 0.750545 | + | 0.251996i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 4.34625 | − | 5.74281i | 0.278240 | − | 0.367646i | ||||
\(245\) | 0.00416898 | − | 0.0364490i | 0.000266347 | − | 0.00232864i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | − | 27.4282i | − | 1.74522i | ||||||
\(248\) | −11.7417 | − | 17.1989i | −0.745601 | − | 1.09213i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −9.76373 | + | 12.4366i | −0.617512 | + | 0.786561i | ||||
\(251\) | 12.6580i | 0.798966i | 0.916741 | + | 0.399483i | \(0.130810\pi\) | ||||
−0.916741 | + | 0.399483i | \(0.869190\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −7.30749 | −0.459418 | ||||||||
\(254\) | −5.18953 | + | 15.4565i | −0.325620 | + | 0.969827i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −13.6388 | + | 8.36566i | −0.852422 | + | 0.522854i | ||||
\(257\) | 13.3110i | 0.830316i | 0.909749 | + | 0.415158i | \(0.136274\pi\) | ||||
−0.909749 | + | 0.415158i | \(0.863726\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | − | 20.7999i | − | 1.29244i | ||||||
\(260\) | 11.9477 | − | 12.5270i | 0.740963 | − | 0.776890i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 3.31867 | − | 9.88432i | 0.205028 | − | 0.610656i | ||||
\(263\) | − | 18.4256i | − | 1.13617i | −0.822969 | − | 0.568087i | \(-0.807684\pi\) | ||
0.822969 | − | 0.568087i | \(-0.192316\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −1.14554 | + | 10.0153i | −0.0703701 | + | 0.615238i | ||||
\(266\) | 25.1044 | + | 8.42882i | 1.53925 | + | 0.516804i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −1.62093 | − | 1.22675i | −0.0990142 | − | 0.0749356i | ||||
\(269\) | − | 3.86940i | − | 0.235921i | −0.993018 | − | 0.117961i | \(-0.962364\pi\) | ||
0.993018 | − | 0.117961i | \(-0.0376357\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −17.3955 | −1.05670 | −0.528350 | − | 0.849027i | \(-0.677189\pi\) | ||||
−0.528350 | + | 0.849027i | \(0.677189\pi\) | |||||||
\(272\) | 12.7581 | − | 3.60104i | 0.773576 | − | 0.218345i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −1.75007 | + | 5.21240i | −0.105725 | + | 0.314893i | ||||
\(275\) | 1.70892 | − | 7.37270i | 0.103052 | − | 0.444591i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 0.887271 | 0.0533110 | 0.0266555 | − | 0.999645i | \(-0.491514\pi\) | ||||
0.0266555 | + | 0.999645i | \(0.491514\pi\) | |||||||
\(278\) | −6.58501 | + | 19.6128i | −0.394943 | + | 1.17630i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 7.79406 | + | 14.7850i | 0.465784 | + | 0.883573i | ||||
\(281\) | 13.4835 | 0.804356 | 0.402178 | − | 0.915562i | \(-0.368253\pi\) | ||||
0.402178 | + | 0.915562i | \(0.368253\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −28.4342 | −1.69024 | −0.845120 | − | 0.534577i | \(-0.820471\pi\) | ||||
−0.845120 | + | 0.534577i | \(0.820471\pi\) | |||||||
\(284\) | 10.7253 | + | 8.11710i | 0.636431 | + | 0.481661i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −2.63734 | + | 7.85505i | −0.155949 | + | 0.464479i | ||||
\(287\) | − | 23.0580i | − | 1.36107i | ||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 6.01641 | 0.353906 | ||||||||
\(290\) | −6.25827 | − | 2.92953i | −0.367498 | − | 0.172028i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 18.7253 | − | 24.7422i | 1.09582 | − | 1.44793i | ||||
\(293\) | 7.99166 | 0.466878 | 0.233439 | − | 0.972371i | \(-0.425002\pi\) | ||||
0.233439 | + | 0.972371i | \(0.425002\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −15.1044 | − | 1.72762i | −0.879412 | − | 0.100586i | ||||
\(296\) | −12.5522 | − | 18.3860i | −0.729582 | − | 1.06867i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 4.98359 | − | 14.8431i | 0.288692 | − | 0.859840i | ||||
\(299\) | 18.6877i | 1.08074i | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 2.68601i | 0.154819i | ||||||||
\(302\) | 0.854458 | + | 0.286885i | 0.0491685 | + | 0.0165084i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 27.2775 | − | 7.69919i | 1.56447 | − | 0.441579i | ||||
\(305\) | −8.00000 | − | 0.915029i | −0.458079 | − | 0.0523944i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 17.4506 | 0.995961 | 0.497980 | − | 0.867188i | \(-0.334075\pi\) | ||||
0.497980 | + | 0.867188i | \(0.334075\pi\) | |||||||
\(308\) | −6.37907 | − | 4.82778i | −0.363481 | − | 0.275088i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −9.87086 | + | 21.0868i | −0.560627 | + | 1.19765i | ||||
\(311\) | −21.4506 | −1.21635 | −0.608177 | − | 0.793801i | \(-0.708099\pi\) | ||||
−0.608177 | + | 0.793801i | \(0.708099\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 7.73879i | 0.437422i | 0.975790 | + | 0.218711i | \(0.0701853\pi\) | ||||
−0.975790 | + | 0.218711i | \(0.929815\pi\) | |||||||
\(314\) | 0.173127 | + | 0.0581276i | 0.00977014 | + | 0.00328033i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 11.7417 | + | 8.88633i | 0.660524 | + | 0.499895i | ||||
\(317\) | −11.2335 | −0.630938 | −0.315469 | − | 0.948936i | \(-0.602162\pi\) | ||||
−0.315469 | + | 0.948936i | \(0.602162\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 3.30749 | 0.185184 | ||||||||
\(320\) | 15.8119 | + | 8.36566i | 0.883911 | + | 0.467655i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −17.1044 | − | 5.74281i | −0.953190 | − | 0.320034i | ||||
\(323\) | −23.4835 | −1.30665 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −18.8545 | − | 4.37027i | −1.04586 | − | 0.242419i | ||||
\(326\) | −26.1208 | − | 8.77008i | −1.44670 | − | 0.485730i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −13.9149 | − | 20.3820i | −0.768319 | − | 1.12541i | ||||
\(329\) | −18.7253 | −1.03236 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 8.00084i | 0.439766i | 0.975526 | + | 0.219883i | \(0.0705676\pi\) | ||||
−0.975526 | + | 0.219883i | \(0.929432\pi\) | |||||||
\(332\) | −12.3463 | − | 9.34385i | −0.677589 | − | 0.512810i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0.810466 | − | 2.41389i | 0.0443467 | − | 0.132082i | ||||
\(335\) | −0.258271 | + | 2.25803i | −0.0141108 | + | 0.123369i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 21.5692i | 1.17495i | 0.809243 | + | 0.587474i | \(0.199877\pi\) | ||||
−0.809243 | + | 0.587474i | \(0.800123\pi\) | |||||||
\(338\) | 2.65933 | + | 0.892874i | 0.144649 | + | 0.0485659i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −10.7253 | − | 10.2293i | −0.581662 | − | 0.554764i | ||||
\(341\) | − | 11.1444i | − | 0.603501i | ||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 18.5419i | 1.00117i | ||||||||
\(344\) | 1.62093 | + | 2.37429i | 0.0873948 | + | 0.128013i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 31.1484 | + | 10.4581i | 1.67455 | + | 0.562231i | ||||
\(347\) | −21.7089 | −1.16540 | −0.582698 | − | 0.812689i | \(-0.698003\pi\) | ||||
−0.582698 | + | 0.812689i | \(0.698003\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | − | 24.7422i | − | 1.32442i | −0.749318 | − | 0.662211i | \(-0.769618\pi\) | ||
0.749318 | − | 0.662211i | \(-0.230382\pi\) | |||||||
\(350\) | 9.79406 | − | 15.9140i | 0.523514 | − | 0.850640i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −8.55220 | − | 0.417910i | −0.455834 | − | 0.0222747i | ||||
\(353\) | − | 3.31415i | − | 0.176394i | −0.996103 | − | 0.0881972i | \(-0.971889\pi\) | ||
0.996103 | − | 0.0881972i | \(-0.0281106\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 1.70892 | − | 14.9409i | 0.0906998 | − | 0.792979i | ||||
\(356\) | 23.5358 | + | 17.8123i | 1.24739 | + | 0.944048i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 1.28586 | − | 3.82979i | 0.0679596 | − | 0.202411i | ||||
\(359\) | −16.7581 | −0.884461 | −0.442230 | − | 0.896902i | \(-0.645813\pi\) | ||||
−0.442230 | + | 0.896902i | \(0.645813\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −31.2088 | −1.64257 | ||||||||
\(362\) | −2.37907 | + | 7.08582i | −0.125041 | + | 0.372422i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −12.3463 | + | 16.3134i | −0.647120 | + | 0.855055i | ||||
\(365\) | −34.4671 | − | 3.94229i | −1.80409 | − | 0.206349i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | − | 28.5324i | − | 1.48938i | −0.667411 | − | 0.744690i | \(-0.732597\pi\) | ||
0.667411 | − | 0.744690i | \(-0.267403\pi\) | |||||||
\(368\) | −18.5850 | + | 5.24569i | −0.968811 | + | 0.273451i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −10.5522 | + | 22.5423i | −0.548583 | + | 1.17192i | ||||
\(371\) | − | 11.9136i | − | 0.618523i | ||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 37.5798 | 1.94581 | 0.972904 | − | 0.231211i | \(-0.0742688\pi\) | ||||
0.972904 | + | 0.231211i | \(0.0742688\pi\) | |||||||
\(374\) | 6.72532 | + | 2.25803i | 0.347758 | + | 0.116760i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −16.5522 | + | 11.3002i | −0.853614 | + | 0.582765i | ||||
\(377\) | − | 8.45836i | − | 0.435628i | ||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 6.74456i | 0.346445i | 0.984883 | + | 0.173222i | \(0.0554179\pi\) | ||||
−0.984883 | + | 0.173222i | \(0.944582\pi\) | |||||||
\(380\) | −22.9313 | − | 21.8708i | −1.17635 | − | 1.12195i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 8.00000 | + | 2.68601i | 0.409316 | + | 0.137428i | ||||
\(383\) | − | 21.8312i | − | 1.11552i | −0.830001 | − | 0.557762i | \(-0.811660\pi\) | ||
0.830001 | − | 0.557762i | \(-0.188340\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −1.01641 | + | 8.88633i | −0.0518009 | + | 0.452889i | ||||
\(386\) | −6.72532 | + | 20.0307i | −0.342310 | + | 1.01954i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −13.4506 | + | 17.7727i | −0.682853 | + | 0.902270i | ||||
\(389\) | 8.81344i | 0.446859i | 0.974720 | + | 0.223429i | \(0.0717252\pi\) | ||||
−0.974720 | + | 0.223429i | \(0.928275\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 16.0000 | 0.809155 | ||||||||
\(392\) | 0.0261649 | + | 0.0383256i | 0.00132153 | + | 0.00193573i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −4.33508 | − | 1.45551i | −0.218398 | − | 0.0733273i | ||||
\(395\) | 1.87086 | − | 16.3568i | 0.0941334 | − | 0.822998i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −0.821644 | −0.0412372 | −0.0206186 | − | 0.999787i | \(-0.506564\pi\) | ||||
−0.0206186 | + | 0.999787i | \(0.506564\pi\) | |||||||
\(398\) | 10.8873 | + | 3.65541i | 0.545730 | + | 0.183229i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −0.946250 | − | 19.9776i | −0.0473125 | − | 0.998880i | ||||
\(401\) | 12.7253 | 0.635472 | 0.317736 | − | 0.948179i | \(-0.397077\pi\) | ||||
0.317736 | + | 0.948179i | \(0.397077\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −28.4999 | −1.41968 | ||||||||
\(404\) | −16.0880 | + | 21.2574i | −0.800407 | + | 1.05760i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 7.74173 | + | 2.59929i | 0.384216 | + | 0.129001i | ||||
\(407\) | − | 11.9136i | − | 0.590535i | ||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −2.25827 | −0.111664 | −0.0558321 | − | 0.998440i | \(-0.517781\pi\) | ||||
−0.0558321 | + | 0.998440i | \(0.517781\pi\) | |||||||
\(410\) | −11.6977 | + | 24.9895i | −0.577710 | + | 1.23414i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −1.15672 | + | 1.52840i | −0.0569875 | + | 0.0752990i | ||||
\(413\) | 17.9672 | 0.884107 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −1.96719 | + | 17.1989i | −0.0965654 | + | 0.844261i | ||||
\(416\) | −1.06874 | + | 21.8708i | −0.0523991 | + | 1.07231i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 14.3791 | + | 4.82778i | 0.703303 | + | 0.236135i | ||||
\(419\) | − | 33.4579i | − | 1.63453i | −0.576264 | − | 0.817263i | \(-0.695490\pi\) | ||
0.576264 | − | 0.817263i | \(-0.304510\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | − | 11.3398i | − | 0.552669i | −0.961061 | − | 0.276335i | \(-0.910880\pi\) | ||
0.961061 | − | 0.276335i | \(-0.0891198\pi\) | |||||||
\(422\) | 6.17313 | − | 18.3860i | 0.300503 | − | 0.895018i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −7.18953 | − | 10.5310i | −0.349155 | − | 0.511430i | ||||
\(425\) | −3.74173 | + | 16.1428i | −0.181501 | + | 0.783040i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 9.51627 | 0.460525 | ||||||||
\(428\) | 6.37907 | + | 4.82778i | 0.308344 | + | 0.233360i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 1.36266 | − | 2.91101i | 0.0657134 | − | 0.140381i | ||||
\(431\) | −10.6597 | −0.513459 | −0.256730 | − | 0.966483i | \(-0.582645\pi\) | ||||
−0.256730 | + | 0.966483i | \(0.582645\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 26.5132i | − | 1.27414i | −0.770805 | − | 0.637072i | \(-0.780146\pi\) | ||
0.770805 | − | 0.637072i | \(-0.219854\pi\) | |||||||
\(434\) | 8.75814 | − | 26.0852i | 0.420404 | − | 1.25213i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0.928423 | − | 1.22675i | 0.0444634 | − | 0.0587506i | ||||
\(437\) | 34.2088 | 1.63643 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −32.8789 | −1.56923 | −0.784613 | − | 0.619986i | \(-0.787138\pi\) | ||||
−0.784613 | + | 0.619986i | \(0.787138\pi\) | |||||||
\(440\) | 4.46421 | + | 8.46842i | 0.212823 | + | 0.403716i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 5.77454 | − | 17.1989i | 0.274667 | − | 0.818068i | ||||
\(443\) | −5.70892 | −0.271239 | −0.135619 | − | 0.990761i | \(-0.543302\pi\) | ||||
−0.135619 | + | 0.990761i | \(0.543302\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 3.75007 | − | 32.7864i | 0.177770 | − | 1.55423i | ||||
\(446\) | −4.43140 | + | 13.1985i | −0.209833 | + | 0.624966i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −19.6894 | − | 7.69919i | −0.930237 | − | 0.363753i | ||||
\(449\) | −2.00000 | −0.0943858 | −0.0471929 | − | 0.998886i | \(-0.515028\pi\) | ||||
−0.0471929 | + | 0.998886i | \(0.515028\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | − | 13.2069i | − | 0.621890i | ||||||
\(452\) | 17.4506 | − | 23.0580i | 0.820809 | − | 1.08456i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 7.65375 | + | 2.56975i | 0.359208 | + | 0.120604i | ||||
\(455\) | 22.7253 | + | 2.59929i | 1.06538 | + | 0.121857i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | − | 3.94229i | − | 0.184413i | −0.995740 | − | 0.0922064i | \(-0.970608\pi\) | ||
0.995740 | − | 0.0922064i | \(-0.0293920\pi\) | |||||||
\(458\) | −0.346255 | + | 1.03128i | −0.0161794 | + | 0.0481888i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 15.6238 | + | 14.9013i | 0.728462 | + | 0.694775i | ||||
\(461\) | 33.8969i | 1.57874i | 0.613920 | + | 0.789369i | \(0.289592\pi\) | ||||
−0.613920 | + | 0.789369i | \(0.710408\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 22.8688i | − | 1.06280i | −0.847120 | − | 0.531402i | \(-0.821665\pi\) | ||
0.847120 | − | 0.531402i | \(-0.178335\pi\) | |||||||
\(464\) | 8.41188 | − | 2.37429i | 0.390512 | − | 0.110224i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −8.28275 | + | 24.6693i | −0.383691 | + | 1.14278i | ||||
\(467\) | 15.7417 | 0.728440 | 0.364220 | − | 0.931313i | \(-0.381336\pi\) | ||||
0.364220 | + | 0.931313i | \(0.381336\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | − | 2.68601i | − | 0.124028i | ||||||
\(470\) | 20.2939 | + | 9.49971i | 0.936089 | + | 0.438189i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 15.8820 | − | 10.8427i | 0.731030 | − | 0.499076i | ||||
\(473\) | 1.53847i | 0.0707388i | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −8.00000 | + | 34.5140i | −0.367065 | + | 1.58361i | ||||
\(476\) | 13.9672 | + | 10.5706i | 0.640185 | + | 0.484502i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 13.4506 | + | 4.51606i | 0.615218 | + | 0.206560i | ||||
\(479\) | 20.6925 | 0.945465 | 0.472732 | − | 0.881206i | \(-0.343268\pi\) | ||||
0.472732 | + | 0.881206i | \(0.343268\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −30.4671 | −1.38918 | ||||||||
\(482\) | 14.4231 | + | 4.84255i | 0.656952 | + | 0.220572i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 13.8887 | + | 10.5112i | 0.631304 | + | 0.477781i | ||||
\(485\) | 24.7581 | + | 2.83180i | 1.12421 | + | 0.128586i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 30.8401i | 1.39750i | 0.715366 | + | 0.698750i | \(0.246260\pi\) | ||||
−0.715366 | + | 0.698750i | \(0.753740\pi\) | |||||||
\(488\) | 8.41188 | − | 5.74281i | 0.380788 | − | 0.259965i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0.0219960 | − | 0.0469893i | 0.000993676 | − | 0.00212276i | ||||
\(491\) | 10.9737i | 0.495238i | 0.968858 | + | 0.247619i | \(0.0796481\pi\) | ||||
−0.968858 | + | 0.247619i | \(0.920352\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −7.24186 | −0.326157 | ||||||||
\(494\) | 12.3463 | − | 36.7721i | 0.555484 | − | 1.65445i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −8.00000 | − | 28.3433i | −0.359211 | − | 1.27265i | ||||
\(497\) | 17.7727i | 0.797213i | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | − | 3.71729i | − | 0.166409i | −0.996533 | − | 0.0832044i | \(-0.973485\pi\) | ||
0.996533 | − | 0.0832044i | \(-0.0265154\pi\) | |||||||
\(500\) | −18.6880 | + | 12.2784i | −0.835752 | + | 0.549107i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −5.69774 | + | 16.9701i | −0.254302 | + | 0.757414i | ||||
\(503\) | 39.9451i | 1.78107i | 0.454919 | + | 0.890533i | \(0.349668\pi\) | ||||
−0.454919 | + | 0.890533i | \(0.650332\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 29.6126 | + | 3.38705i | 1.31774 | + | 0.150722i | ||||
\(506\) | −9.79690 | − | 3.28932i | −0.435525 | − | 0.146228i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −13.9149 | + | 18.3860i | −0.617372 | + | 0.815749i | ||||
\(509\) | − | 0.0728979i | − | 0.00323114i | −0.999999 | − | 0.00161557i | \(-0.999486\pi\) | ||
0.999999 | − | 0.00161557i | \(-0.000514253\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 40.9997 | 1.81372 | ||||||||
\(512\) | −22.0506 | + | 5.07634i | −0.974510 | + | 0.224345i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −5.99166 | + | 17.8456i | −0.264281 | + | 0.787134i | ||||
\(515\) | 2.12914 | + | 0.243528i | 0.0938209 | + | 0.0107311i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −10.7253 | −0.471699 | ||||||||
\(518\) | 9.36266 | − | 27.8857i | 0.411372 | − | 1.22523i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 21.6566 | − | 11.4165i | 0.949704 | − | 0.500646i | ||||
\(521\) | 11.9672 | 0.524292 | 0.262146 | − | 0.965028i | \(-0.415570\pi\) | ||||
0.262146 | + | 0.965028i | \(0.415570\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 16.0656 | 0.702501 | 0.351250 | − | 0.936282i | \(-0.385757\pi\) | ||||
0.351250 | + | 0.936282i | \(0.385757\pi\) | |||||||
\(524\) | 8.89845 | − | 11.7577i | 0.388731 | − | 0.513639i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 8.29392 | − | 24.7026i | 0.361632 | − | 1.07709i | ||||
\(527\) | 24.4010i | 1.06292i | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −0.307491 | −0.0133692 | ||||||||
\(530\) | −6.04399 | + | 12.9116i | −0.262534 | + | 0.560844i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 29.8625 | + | 22.6004i | 1.29470 | + | 0.979854i | ||||
\(533\) | −33.7745 | −1.46294 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 1.01641 | − | 8.88633i | 0.0439431 | − | 0.384190i | ||||
\(536\) | −1.62093 | − | 2.37429i | −0.0700136 | − | 0.102554i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 1.74173 | − | 5.18757i | 0.0750913 | − | 0.223652i | ||||
\(539\) | 0.0248338i | 0.00106967i | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 15.8559i | 0.681698i | 0.940118 | + | 0.340849i | \(0.110715\pi\) | ||||
−0.940118 | + | 0.340849i | \(0.889285\pi\) | |||||||
\(542\) | −23.3215 | − | 7.83021i | −1.00174 | − | 0.336337i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 18.7253 | + | 0.915029i | 0.802842 | + | 0.0392316i | ||||
\(545\) | −1.70892 | − | 0.195463i | −0.0732019 | − | 0.00837274i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 4.95078 | 0.211680 | 0.105840 | − | 0.994383i | \(-0.466247\pi\) | ||||
0.105840 | + | 0.994383i | \(0.466247\pi\) | |||||||
\(548\) | −4.69251 | + | 6.20033i | −0.200454 | + | 0.264865i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 5.60975 | − | 9.11509i | 0.239201 | − | 0.388669i | ||||
\(551\) | −15.4835 | −0.659618 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 19.4569i | 0.827393i | ||||||||
\(554\) | 1.18953 | + | 0.399387i | 0.0505385 | + | 0.0169683i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −17.6566 | + | 23.3301i | −0.748806 | + | 0.989416i | ||||
\(557\) | 1.26634 | 0.0536565 | 0.0268283 | − | 0.999640i | \(-0.491459\pi\) | ||||
0.0268283 | + | 0.999640i | \(0.491459\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 3.93437 | 0.166406 | ||||||||
\(560\) | 3.79406 | + | 23.3301i | 0.160328 | + | 0.985876i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 18.0768 | + | 6.06930i | 0.762524 | + | 0.256018i | ||||
\(563\) | 5.70892 | 0.240602 | 0.120301 | − | 0.992737i | \(-0.461614\pi\) | ||||
0.120301 | + | 0.992737i | \(0.461614\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −32.1208 | − | 3.67393i | −1.35133 | − | 0.154564i | ||||
\(566\) | −38.1208 | − | 12.7991i | −1.60234 | − | 0.537986i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 10.7253 | + | 15.7101i | 0.450025 | + | 0.659181i | ||||
\(569\) | −2.75814 | −0.115627 | −0.0578135 | − | 0.998327i | \(-0.518413\pi\) | ||||
−0.0578135 | + | 0.998327i | \(0.518413\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 25.7735i | 1.07859i | 0.842118 | + | 0.539294i | \(0.181309\pi\) | ||||
−0.842118 | + | 0.539294i | \(0.818691\pi\) | |||||||
\(572\) | −7.07158 | + | 9.34385i | −0.295677 | + | 0.390686i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 10.3791 | − | 30.9130i | 0.433214 | − | 1.29028i | ||||
\(575\) | 5.45065 | − | 23.5155i | 0.227308 | − | 0.980663i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | − | 32.7135i | − | 1.36188i | −0.732338 | − | 0.680941i | \(-0.761571\pi\) | ||
0.732338 | − | 0.680941i | \(-0.238429\pi\) | |||||||
\(578\) | 8.06599 | + | 2.70816i | 0.335501 | + | 0.112645i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −7.07158 | − | 6.74456i | −0.293631 | − | 0.280052i | ||||
\(581\) | − | 20.4587i | − | 0.848769i | ||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | − | 6.82376i | − | 0.282611i | ||||||
\(584\) | 36.2416 | − | 24.7422i | 1.49969 | − | 1.02384i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 10.7141 | + | 3.59728i | 0.442597 | + | 0.148602i | ||||
\(587\) | 43.4835 | 1.79475 | 0.897377 | − | 0.441264i | \(-0.145470\pi\) | ||||
0.897377 | + | 0.441264i | \(0.145470\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 52.1705i | 2.14965i | ||||||||
\(590\) | −19.4723 | − | 9.11509i | −0.801661 | − | 0.375262i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −8.55220 | − | 30.2996i | −0.351493 | − | 1.24531i | ||||
\(593\) | 7.83021i | 0.321548i | 0.986991 | + | 0.160774i | \(0.0513991\pi\) | ||||
−0.986991 | + | 0.160774i | \(0.948601\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 2.22546 | − | 19.4569i | 0.0912348 | − | 0.797656i | ||||
\(596\) | 13.3627 | − | 17.6564i | 0.547356 | − | 0.723235i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −8.41188 | + | 25.0539i | −0.343987 | + | 1.02453i | ||||
\(599\) | −32.7581 | −1.33846 | −0.669231 | − | 0.743055i | \(-0.733376\pi\) | ||||
−0.669231 | + | 0.743055i | \(0.733376\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 17.8074 | 0.726377 | 0.363189 | − | 0.931716i | \(-0.381688\pi\) | ||||
0.363189 | + | 0.931716i | \(0.381688\pi\) | |||||||
\(602\) | −1.20905 | + | 3.60104i | −0.0492772 | + | 0.146767i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 1.01641 | + | 0.769233i | 0.0413570 | + | 0.0312997i | ||||
\(605\) | 2.21295 | − | 19.3476i | 0.0899692 | − | 0.786591i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | − | 3.41188i | − | 0.138484i | −0.997600 | − | 0.0692420i | \(-0.977942\pi\) | ||
0.997600 | − | 0.0692420i | \(-0.0220581\pi\) | |||||||
\(608\) | 40.0357 | + | 1.95638i | 1.62366 | + | 0.0793416i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −10.3134 | − | 4.82778i | −0.417579 | − | 0.195471i | ||||
\(611\) | 27.4282i | 1.10963i | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 36.6290 | 1.47943 | 0.739716 | − | 0.672920i | \(-0.234960\pi\) | ||||
0.739716 | + | 0.672920i | \(0.234960\pi\) | |||||||
\(614\) | 23.3955 | + | 7.85505i | 0.944165 | + | 0.317004i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −6.37907 | − | 9.34385i | −0.257020 | − | 0.376474i | ||||
\(617\) | − | 40.3979i | − | 1.62636i | −0.582012 | − | 0.813180i | \(-0.697734\pi\) | ||
0.582012 | − | 0.813180i | \(-0.302266\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 24.5172i | 0.985430i | 0.870191 | + | 0.492715i | \(0.163996\pi\) | ||||
−0.870191 | + | 0.492715i | \(0.836004\pi\) | |||||||
\(620\) | −22.7253 | + | 23.8272i | −0.912671 | + | 0.956923i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −28.7581 | − | 9.65557i | −1.15310 | − | 0.387153i | ||||
\(623\) | 39.0006i | 1.56252i | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 22.4506 | + | 10.9986i | 0.898026 | + | 0.439943i | ||||
\(626\) | −3.48346 | + | 10.3751i | −0.139227 | + | 0.414674i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0.205941 | + | 0.155859i | 0.00821793 | + | 0.00621947i | ||||
\(629\) | 26.0852i | 1.04009i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 18.7805 | 0.747640 | 0.373820 | − | 0.927501i | \(-0.378048\pi\) | ||||
0.373820 | + | 0.927501i | \(0.378048\pi\) | |||||||
\(632\) | 11.7417 | + | 17.1989i | 0.467061 | + | 0.684135i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −15.0604 | − | 5.05654i | −0.598125 | − | 0.200821i | ||||
\(635\) | 25.6126 | + | 2.92953i | 1.01640 | + | 0.116255i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0.0635083 | 0.00251629 | ||||||||
\(638\) | 4.43424 | + | 1.48880i | 0.175553 | + | 0.0589421i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 17.4328 | + | 18.3329i | 0.689093 | + | 0.724673i | ||||
\(641\) | 15.5163 | 0.612856 | 0.306428 | − | 0.951894i | \(-0.400866\pi\) | ||||
0.306428 | + | 0.951894i | \(0.400866\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 17.4506 | 0.688186 | 0.344093 | − | 0.938936i | \(-0.388186\pi\) | ||||
0.344093 | + | 0.938936i | \(0.388186\pi\) | |||||||
\(644\) | −20.3463 | − | 15.3984i | −0.801755 | − | 0.606781i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −31.4835 | − | 10.5706i | −1.23870 | − | 0.415895i | ||||
\(647\) | 13.1403i | 0.516600i | 0.966065 | + | 0.258300i | \(0.0831624\pi\) | ||||
−0.966065 | + | 0.258300i | \(0.916838\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 10.2911 | 0.403960 | ||||||||
\(650\) | −23.3103 | − | 14.3460i | −0.914306 | − | 0.562697i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −31.0716 | − | 23.5155i | −1.21686 | − | 0.920937i | ||||
\(653\) | 14.7993 | 0.579141 | 0.289570 | − | 0.957157i | \(-0.406488\pi\) | ||||
0.289570 | + | 0.957157i | \(0.406488\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −16.3791 | − | 1.87342i | −0.639983 | − | 0.0732004i | ||||
\(656\) | −9.48062 | − | 33.5890i | −0.370156 | − | 1.31143i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −25.1044 | − | 8.42882i | −0.978671 | − | 0.328590i | ||||
\(659\) | 7.99614i | 0.311485i | 0.987798 | + | 0.155743i | \(0.0497771\pi\) | ||||
−0.987798 | + | 0.155743i | \(0.950223\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | − | 0.915029i | − | 0.0355905i | −0.999842 | − | 0.0177953i | \(-0.994335\pi\) | ||
0.999842 | − | 0.0177953i | \(-0.00566470\pi\) | |||||||
\(662\) | −3.60142 | + | 10.7265i | −0.139973 | + | 0.416896i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −12.3463 | − | 18.0844i | −0.479128 | − | 0.701810i | ||||
\(665\) | 4.75814 | − | 41.5999i | 0.184513 | − | 1.61317i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 10.5494 | 0.408473 | ||||||||
\(668\) | 2.17313 | − | 2.87141i | 0.0840808 | − | 0.111098i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −1.36266 | + | 2.91101i | −0.0526442 | + | 0.112462i | ||||
\(671\) | 5.45065 | 0.210420 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | − | 34.3978i | − | 1.32594i | −0.748647 | − | 0.662969i | \(-0.769296\pi\) | ||
0.748647 | − | 0.662969i | \(-0.230704\pi\) | |||||||
\(674\) | −9.70892 | + | 28.9170i | −0.373973 | + | 1.11384i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 3.16337 | + | 2.39409i | 0.121668 | + | 0.0920804i | ||||
\(677\) | −40.1676 | −1.54377 | −0.771884 | − | 0.635764i | \(-0.780685\pi\) | ||||
−0.771884 | + | 0.635764i | \(0.780685\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −29.4506 | −1.13021 | ||||||||
\(680\) | −9.77454 | − | 18.5419i | −0.374837 | − | 0.711049i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 5.01641 | − | 14.9409i | 0.192088 | − | 0.572115i | ||||
\(683\) | −33.2580 | −1.27258 | −0.636291 | − | 0.771449i | \(-0.719532\pi\) | ||||
−0.636291 | + | 0.771449i | \(0.719532\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 8.63734 | + | 0.987927i | 0.330016 | + | 0.0377468i | ||||
\(686\) | −8.34625 | + | 24.8585i | −0.318661 | + | 0.949101i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 1.10439 | + | 3.91275i | 0.0421045 | + | 0.149172i | ||||
\(689\) | −17.4506 | −0.664817 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | − | 50.2241i | − | 1.91062i | −0.295611 | − | 0.955308i | \(-0.595523\pi\) | ||
0.295611 | − | 0.955308i | \(-0.404477\pi\) | |||||||
\(692\) | 37.0521 | + | 28.0416i | 1.40851 | + | 1.06598i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −29.1044 | − | 9.77182i | −1.10479 | − | 0.370933i | ||||
\(695\) | 32.4999 | + | 3.71729i | 1.23279 | + | 0.141005i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 28.9170i | 1.09531i | ||||||||
\(698\) | 11.1372 | − | 33.1710i | 0.421549 | − | 1.25554i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 20.2939 | − | 16.9268i | 0.767038 | − | 0.639772i | ||||
\(701\) | − | 23.7543i | − | 0.897188i | −0.893736 | − | 0.448594i | \(-0.851925\pi\) | ||
0.893736 | − | 0.448594i | \(-0.148075\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 55.7715i | 2.10346i | ||||||||
\(704\) | −11.2775 | − | 4.40987i | −0.425037 | − | 0.166203i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 1.49180 | − | 4.44317i | 0.0561445 | − | 0.167221i | ||||
\(707\) | −35.2252 | −1.32478 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 36.3146i | 1.36382i | 0.731435 | + | 0.681911i | \(0.238851\pi\) | ||||
−0.731435 | + | 0.681911i | \(0.761149\pi\) | |||||||
\(710\) | 9.01641 | − | 19.2615i | 0.338380 | − | 0.722870i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 23.5358 | + | 34.4744i | 0.882041 | + | 1.29198i | ||||
\(713\) | − | 35.5453i | − | 1.33118i | ||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 13.0164 | + | 1.48880i | 0.486786 | + | 0.0556779i | ||||
\(716\) | 3.44780 | − | 4.55567i | 0.128851 | − | 0.170253i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −22.4671 | − | 7.54333i | −0.838463 | − | 0.281515i | ||||
\(719\) | 30.7253 | 1.14586 | 0.572931 | − | 0.819604i | \(-0.305806\pi\) | ||||
0.572931 | + | 0.819604i | \(0.305806\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −2.53268 | −0.0943219 | ||||||||
\(722\) | −41.8405 | − | 14.0480i | −1.55714 | − | 0.522812i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −6.37907 | + | 8.42882i | −0.237076 | + | 0.313255i | ||||
\(725\) | −2.46705 | + | 10.6435i | −0.0916240 | + | 0.395289i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 5.47445i | 0.203036i | 0.994834 | + | 0.101518i | \(0.0323700\pi\) | ||||
−0.994834 | + | 0.101518i | \(0.967630\pi\) | |||||||
\(728\) | −23.8953 | + | 16.3134i | −0.885620 | + | 0.604615i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −44.4342 | − | 20.7999i | −1.64458 | − | 0.769840i | ||||
\(731\) | − | 3.36852i | − | 0.124589i | ||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −17.1455 | −0.633285 | −0.316643 | − | 0.948545i | \(-0.602556\pi\) | ||||
−0.316643 | + | 0.948545i | \(0.602556\pi\) | |||||||
\(734\) | 12.8433 | − | 38.2524i | 0.474054 | − | 1.41192i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −27.2775 | − | 1.33294i | −1.00546 | − | 0.0491328i | ||||
\(737\) | − | 1.53847i | − | 0.0566701i | ||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | − | 11.6019i | − | 0.426782i | −0.976967 | − | 0.213391i | \(-0.931549\pi\) | ||
0.976967 | − | 0.213391i | \(-0.0684508\pi\) | |||||||
\(740\) | −24.2939 | + | 25.4719i | −0.893062 | + | 0.936364i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 5.36266 | − | 15.9721i | 0.196869 | − | 0.586356i | ||||
\(743\) | − | 23.6613i | − | 0.868048i | −0.900901 | − | 0.434024i | \(-0.857093\pi\) | ||
0.900901 | − | 0.434024i | \(-0.142907\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −24.5962 | − | 2.81328i | −0.901135 | − | 0.103071i | ||||
\(746\) | 50.3819 | + | 16.9158i | 1.84461 | + | 0.619330i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 8.00000 | + | 6.05453i | 0.292509 | + | 0.221376i | ||||
\(749\) | 10.5706i | 0.386241i | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −11.4283 | −0.417024 | −0.208512 | − | 0.978020i | \(-0.566862\pi\) | ||||
−0.208512 | + | 0.978020i | \(0.566862\pi\) | |||||||
\(752\) | −27.2775 | + | 7.69919i | −0.994709 | + | 0.280761i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 3.80736 | − | 11.3398i | 0.138656 | − | 0.412972i | ||||
\(755\) | 0.161949 | − | 1.41590i | 0.00589392 | − | 0.0515299i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −19.1784 | −0.697049 | −0.348525 | − | 0.937300i | \(-0.613317\pi\) | ||||
−0.348525 | + | 0.937300i | \(0.613317\pi\) | |||||||
\(758\) | −3.03592 | + | 9.04219i | −0.110270 | + | 0.328427i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −20.8984 | − | 39.6435i | −0.758066 | − | 1.43802i | ||||
\(761\) | −4.03281 | −0.146189 | −0.0730947 | − | 0.997325i | \(-0.523288\pi\) | ||||
−0.0730947 | + | 0.997325i | \(0.523288\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 2.03281 | 0.0735928 | ||||||||
\(764\) | 9.51627 | + | 7.20207i | 0.344287 | + | 0.260562i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 9.82687 | − | 29.2684i | 0.355059 | − | 1.05751i | ||||
\(767\) | − | 26.3177i | − | 0.950279i | ||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 2.95078 | 0.106408 | 0.0532039 | − | 0.998584i | \(-0.483057\pi\) | ||||
0.0532039 | + | 0.998584i | \(0.483057\pi\) | |||||||
\(770\) | −5.36266 | + | 11.4561i | −0.193257 | + | 0.412849i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −18.0328 | + | 23.8272i | −0.649015 | + | 0.857560i | ||||
\(773\) | −45.2663 | −1.62812 | −0.814059 | − | 0.580783i | \(-0.802747\pi\) | ||||
−0.814059 | + | 0.580783i | \(0.802747\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 35.8625 | + | 8.31256i | 1.28822 | + | 0.298596i | ||||
\(776\) | −26.0328 | + | 17.7727i | −0.934524 | + | 0.638002i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −3.96719 | + | 11.8159i | −0.142231 | + | 0.423619i | ||||
\(779\) | 61.8260i | 2.21515i | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 10.1797i | 0.364257i | ||||||||
\(782\) | 21.4506 | + | 7.20207i | 0.767074 | + | 0.257546i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0.0178270 | + | 0.0631594i | 0.000636678 | + | 0.00225569i | ||||
\(785\) | 0.0328135 | − | 0.286885i | 0.00117116 | − | 0.0102394i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −52.9997 | −1.88924 | −0.944618 | − | 0.328171i | \(-0.893568\pi\) | ||||
−0.944618 | + | 0.328171i | \(0.893568\pi\) | |||||||
\(788\) | −5.15672 | − | 3.90269i | −0.183701 | − | 0.139028i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 9.87086 | − | 21.0868i | 0.351190 | − | 0.750235i | ||||
\(791\) | 38.2088 | 1.35855 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | − | 13.9391i | − | 0.494993i | ||||||
\(794\) | −1.10155 | − | 0.369846i | −0.0390926 | − | 0.0131254i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 12.9508 | + | 9.80136i | 0.459028 | + | 0.347400i | ||||
\(797\) | −16.5738 | −0.587075 | −0.293538 | − | 0.955948i | \(-0.594833\pi\) | ||||
−0.293538 | + | 0.955948i | \(0.594833\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 23.4835 | 0.830785 | ||||||||
\(800\) | 7.72390 | − | 27.2092i | 0.273081 | − | 0.961991i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 17.0604 | + | 5.72804i | 0.602424 | + | 0.202264i | ||||
\(803\) | 23.4835 | 0.828713 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −3.24186 | + | 28.3433i | −0.114261 | + | 0.998969i | ||||
\(806\) | −38.2088 | − | 12.8286i | −1.34585 | − | 0.451869i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −31.1372 | + | 21.2574i | −1.09540 | + | 0.747834i | ||||
\(809\) | −37.5491 | −1.32016 | −0.660078 | − | 0.751197i | \(-0.729477\pi\) | ||||
−0.660078 | + | 0.751197i | \(0.729477\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 32.1102i | 1.12754i | 0.825931 | + | 0.563771i | \(0.190650\pi\) | ||||
−0.825931 | + | 0.563771i | \(0.809350\pi\) | |||||||
\(812\) | 9.20905 | + | 6.96956i | 0.323174 | + | 0.244584i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 5.36266 | − | 15.9721i | 0.187961 | − | 0.559824i | ||||
\(815\) | −4.95078 | + | 43.2841i | −0.173418 | + | 1.51618i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | − | 7.20207i | − | 0.251969i | ||||||
\(818\) | −3.02759 | − | 1.01651i | −0.105857 | − | 0.0355416i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −26.9313 | + | 28.2371i | −0.940481 | + | 0.986081i | ||||
\(821\) | − | 29.3809i | − | 1.02540i | −0.858568 | − | 0.512699i | \(-0.828646\pi\) | ||
0.858568 | − | 0.512699i | \(-0.171354\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | − | 28.3866i | − | 0.989495i | −0.869037 | − | 0.494748i | \(-0.835260\pi\) | ||
0.869037 | − | 0.494748i | \(-0.164740\pi\) | |||||||
\(824\) | −2.23875 | + | 1.52840i | −0.0779907 | + | 0.0532444i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 24.0880 | + | 8.08756i | 0.838128 | + | 0.281402i | ||||
\(827\) | 1.45065 | 0.0504439 | 0.0252219 | − | 0.999682i | \(-0.491971\pi\) | ||||
0.0252219 | + | 0.999682i | \(0.491971\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | − | 37.4621i | − | 1.30111i | −0.759458 | − | 0.650556i | \(-0.774536\pi\) | ||
0.759458 | − | 0.650556i | \(-0.225464\pi\) | |||||||
\(830\) | −10.3791 | + | 22.1725i | −0.360263 | + | 0.769618i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −11.2775 | + | 28.8404i | −0.390978 | + | 0.999860i | ||||
\(833\) | − | 0.0543744i | − | 0.00188396i | ||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −4.00000 | − | 0.457515i | −0.138426 | − | 0.0158329i | ||||
\(836\) | 17.1044 | + | 12.9449i | 0.591568 | + | 0.447708i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 15.0604 | − | 44.8559i | 0.520253 | − | 1.54952i | ||||
\(839\) | −48.7581 | −1.68332 | −0.841659 | − | 0.540010i | \(-0.818421\pi\) | ||||
−0.841659 | + | 0.540010i | \(0.818421\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 24.2252 | 0.835351 | ||||||||
\(842\) | 5.10439 | − | 15.2029i | 0.175909 | − | 0.523927i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 16.5522 | − | 21.8708i | 0.569750 | − | 0.752825i | ||||
\(845\) | 0.504034 | − | 4.40672i | 0.0173393 | − | 0.151596i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 23.0146i | 0.790791i | ||||||||
\(848\) | −4.89845 | − | 17.3548i | −0.168213 | − | 0.595965i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −12.2827 | + | 19.9578i | −0.421295 | + | 0.684547i | ||||
\(851\) | − | 37.9988i | − | 1.30258i | ||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −4.37073 | −0.149651 | −0.0748255 | − | 0.997197i | \(-0.523840\pi\) | ||||
−0.0748255 | + | 0.997197i | \(0.523840\pi\) | |||||||
\(854\) | 12.7581 | + | 4.28355i | 0.436574 | + | 0.146580i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 6.37907 | + | 9.34385i | 0.218032 | + | 0.319366i | ||||
\(857\) | − | 20.5130i | − | 0.700712i | −0.936617 | − | 0.350356i | \(-0.886061\pi\) | ||
0.936617 | − | 0.350356i | \(-0.113939\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 10.1131i | 0.345054i | 0.985005 | + | 0.172527i | \(0.0551932\pi\) | ||||
−0.985005 | + | 0.172527i | \(0.944807\pi\) | |||||||
\(860\) | 3.13720 | − | 3.28932i | 0.106978 | − | 0.112165i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −14.2911 | − | 4.79824i | −0.486756 | − | 0.163429i | ||||
\(863\) | 13.2861i | 0.452266i | 0.974096 | + | 0.226133i | \(0.0726083\pi\) | ||||
−0.974096 | + | 0.226133i | \(0.927392\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 5.90368 | − | 51.6152i | 0.200731 | − | 1.75497i | ||||
\(866\) | 11.9344 | − | 35.5453i | 0.405547 | − | 1.20788i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 23.4835 | − | 31.0293i | 0.797081 | − | 1.05320i | ||||
\(869\) | 11.1444i | 0.378047i | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −3.93437 | −0.133311 | ||||||||
\(872\) | 1.79690 | − | 1.22675i | 0.0608507 | − | 0.0415429i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 45.8625 | + | 15.3984i | 1.55132 | + | 0.520858i | ||||
\(875\) | −27.8381 | − | 9.89909i | −0.941098 | − | 0.334650i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 33.6454 | 1.13612 | 0.568062 | − | 0.822986i | \(-0.307693\pi\) | ||||
0.568062 | + | 0.822986i | \(0.307693\pi\) | |||||||
\(878\) | −44.0796 | − | 14.7998i | −1.48762 | − | 0.499468i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 2.17313 | + | 13.3628i | 0.0732561 | + | 0.450460i | ||||
\(881\) | 32.7909 | 1.10476 | 0.552378 | − | 0.833594i | \(-0.313721\pi\) | ||||
0.552378 | + | 0.833594i | \(0.313721\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 33.4506 | 1.12570 | 0.562852 | − | 0.826558i | \(-0.309704\pi\) | ||||
0.562852 | + | 0.826558i | \(0.309704\pi\) | |||||||
\(884\) | 15.4835 | − | 20.4587i | 0.520765 | − | 0.688100i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −7.65375 | − | 2.56975i | −0.257133 | − | 0.0863325i | ||||
\(887\) | 34.8924i | 1.17157i | 0.810466 | + | 0.585785i | \(0.199214\pi\) | ||||
−0.810466 | + | 0.585785i | \(0.800786\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −30.4671 | −1.02183 | ||||||||
\(890\) | 19.7857 | − | 42.2676i | 0.663219 | − | 1.41681i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −11.8820 | + | 15.7000i | −0.397840 | + | 0.525676i | ||||
\(893\) | 50.2088 | 1.68017 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −6.34625 | − | 0.725876i | −0.212132 | − | 0.0242634i | ||||
\(896\) | −22.9313 | − | 19.1848i | −0.766080 | − | 0.640920i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −2.68133 | − | 0.900259i | −0.0894772 | − | 0.0300420i | ||||
\(899\) | 16.0884i | 0.536578i | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 14.9409i | 0.497752i | ||||||||
\(902\) | 5.94483 | − | 17.7061i | 0.197941 | − | 0.589548i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 33.7745 | − | 23.0580i | 1.12332 | − | 0.766896i | ||||
\(905\) | 11.7417 | + | 1.34300i | 0.390308 | + | 0.0446429i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −30.9836 | −1.02879 | −0.514397 | − | 0.857552i | \(-0.671984\pi\) | ||||
−0.514397 | + | 0.857552i | \(0.671984\pi\) | |||||||
\(908\) | 9.10439 | + | 6.89035i | 0.302140 | + | 0.228664i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 29.2970 | + | 13.7141i | 0.971187 | + | 0.454619i | ||||
\(911\) | −16.0000 | −0.530104 | −0.265052 | − | 0.964234i | \(-0.585389\pi\) | ||||
−0.265052 | + | 0.964234i | \(0.585389\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | − | 11.7181i | − | 0.387814i | ||||||
\(914\) | 1.77454 | − | 5.28530i | 0.0586967 | − | 0.174822i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −0.928423 | + | 1.22675i | −0.0306760 | + | 0.0405329i | ||||
\(917\) | 19.4835 | 0.643400 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 15.6043 | 0.514737 | 0.257368 | − | 0.966313i | \(-0.417145\pi\) | ||||
0.257368 | + | 0.966313i | \(0.417145\pi\) | |||||||
\(920\) | 14.2388 | + | 27.0103i | 0.469438 | + | 0.890504i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −15.2580 | + | 45.4444i | −0.502496 | + | 1.49663i | ||||
\(923\) | 26.0328 | 0.856880 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 38.3379 | + | 8.88633i | 1.26054 | + | 0.292181i | ||||
\(926\) | 10.2939 | − | 30.6594i | 0.338279 | − | 1.00753i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 12.3463 | + | 0.603310i | 0.405286 | + | 0.0198046i | ||||
\(929\) | −38.9341 | −1.27739 | −0.638693 | − | 0.769461i | \(-0.720525\pi\) | ||||
−0.638693 | + | 0.769461i | \(0.720525\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | − | 0.116255i | − | 0.00381011i | ||||||
\(932\) | −22.2088 | + | 29.3450i | −0.727473 | + | 0.961228i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 21.1044 | + | 7.08582i | 0.690557 | + | 0.231855i | ||||
\(935\) | 1.27468 | − | 11.1444i | 0.0416864 | − | 0.364460i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 19.6027i | 0.640393i | 0.947351 | + | 0.320197i | \(0.103749\pi\) | ||||
−0.947351 | + | 0.320197i | \(0.896251\pi\) | |||||||
\(938\) | 1.20905 | − | 3.60104i | 0.0394769 | − | 0.117578i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 22.9313 | + | 21.8708i | 0.747935 | + | 0.713348i | ||||
\(941\) | 25.0476i | 0.816530i | 0.912864 | + | 0.408265i | \(0.133866\pi\) | ||||
−0.912864 | + | 0.408265i | \(0.866134\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | − | 42.1240i | − | 1.37175i | ||||||
\(944\) | 26.1731 | − | 7.38747i | 0.851863 | − | 0.240442i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −0.692509 | + | 2.06257i | −0.0225154 | + | 0.0670599i | ||||
\(947\) | 7.93437 | 0.257832 | 0.128916 | − | 0.991655i | \(-0.458850\pi\) | ||||
0.128916 | + | 0.991655i | \(0.458850\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | − | 60.0550i | − | 1.94947i | ||||||
\(950\) | −26.2611 | + | 42.6708i | −0.852023 | + | 1.38442i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 13.9672 | + | 20.4587i | 0.452679 | + | 0.663069i | ||||
\(953\) | − | 11.4809i | − | 0.371903i | −0.982559 | − | 0.185952i | \(-0.940463\pi\) | ||
0.982559 | − | 0.185952i | \(-0.0595368\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 1.51627 | − | 13.2566i | 0.0490654 | − | 0.428974i | ||||
\(956\) | 16.0000 | + | 12.1091i | 0.517477 | + | 0.391635i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 27.7417 | + | 9.31431i | 0.896295 | + | 0.300932i | ||||
\(959\) | −10.2744 | −0.331778 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 23.2088 | 0.748670 | ||||||||
\(962\) | −40.8461 | − | 13.7141i | −1.31693 | − | 0.442161i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 17.1567 | + | 12.9845i | 0.552581 | + | 0.418202i | ||||
\(965\) | 33.1924 | + | 3.79650i | 1.06850 | + | 0.122214i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 15.8993i | 0.511285i | 0.966771 | + | 0.255643i | \(0.0822871\pi\) | ||||
−0.966771 | + | 0.255643i | \(0.917713\pi\) | |||||||
\(968\) | 13.8887 | + | 20.3437i | 0.446399 | + | 0.653871i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 31.9177 | + | 14.9409i | 1.02482 | + | 0.479722i | ||||
\(971\) | − | 40.6600i | − | 1.30484i | −0.757857 | − | 0.652421i | \(-0.773754\pi\) | ||
0.757857 | − | 0.652421i | \(-0.226246\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −38.6597 | −1.23937 | ||||||||
\(974\) | −13.8820 | + | 41.3463i | −0.444809 | + | 1.32482i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 13.8625 | − | 3.91275i | 0.443729 | − | 0.125244i | ||||
\(977\) | 26.5676i | 0.849972i | 0.905200 | + | 0.424986i | \(0.139721\pi\) | ||||
−0.905200 | + | 0.424986i | \(0.860279\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 22.3384i | 0.713938i | ||||||||
\(980\) | 0.0506405 | − | 0.0530959i | 0.00161765 | − | 0.00169609i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −4.93960 | + | 14.7121i | −0.157629 | + | 0.469482i | ||||
\(983\) | 9.88057i | 0.315141i | 0.987508 | + | 0.157571i | \(0.0503662\pi\) | ||||
−0.987508 | + | 0.157571i | \(0.949634\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −0.821644 | + | 7.18355i | −0.0261798 | + | 0.228887i | ||||
\(986\) | −9.70892 | − | 3.25978i | −0.309195 | − | 0.103812i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 33.1044 | − | 43.7416i | 1.05319 | − | 1.39161i | ||||
\(989\) | 4.90699i | 0.156033i | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −53.0549 | −1.68534 | −0.842672 | − | 0.538427i | \(-0.819019\pi\) | ||||
−0.842672 | + | 0.538427i | \(0.819019\pi\) | |||||||
\(992\) | 2.03281 | − | 41.5999i | 0.0645419 | − | 1.32080i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −8.00000 | + | 23.8272i | −0.253745 | + | 0.755753i | ||||
\(995\) | 2.06351 | − | 18.0410i | 0.0654176 | − | 0.571939i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −32.3051 | −1.02311 | −0.511556 | − | 0.859250i | \(-0.670931\pi\) | ||||
−0.511556 | + | 0.859250i | \(0.670931\pi\) | |||||||
\(998\) | 1.67326 | − | 4.98364i | 0.0529662 | − | 0.157754i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))