Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [126,2,Mod(41,126)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(126, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([5, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("126.41");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 126 = 2 \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 126.m (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.00611506547\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 6x^{14} + 9x^{12} + 54x^{10} - 288x^{8} + 486x^{6} + 729x^{4} - 4374x^{2} + 6561 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 3^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 41.7 | ||
Root | \(-0.0967785 + 1.72934i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 126.41 |
Dual form | 126.2.m.a.83.7 |
$q$-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 \(\left(\mathbb{Z}/126\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(73\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.866025 | − | 0.500000i | 0.612372 | − | 0.353553i | ||||
\(3\) | 0.0967785 | − | 1.72934i | 0.0558751 | − | 0.998438i | ||||
\(4\) | 0.500000 | − | 0.866025i | 0.250000 | − | 0.433013i | ||||
\(5\) | 0.183299 | − | 0.317483i | 0.0819738 | − | 0.141983i | −0.822124 | − | 0.569309i | \(-0.807211\pi\) |
0.904098 | + | 0.427326i | \(0.140544\pi\) | |||||||
\(6\) | −0.780860 | − | 1.54605i | −0.318785 | − | 0.631171i | ||||
\(7\) | −0.624224 | + | 2.57106i | −0.235935 | + | 0.971769i | ||||
\(8\) | − | 1.00000i | − | 0.353553i | ||||||
\(9\) | −2.98127 | − | 0.334727i | −0.993756 | − | 0.111576i | ||||
\(10\) | − | 0.366598i | − | 0.115929i | ||||||
\(11\) | 0.579764 | − | 0.334727i | 0.174805 | − | 0.100924i | −0.410044 | − | 0.912066i | \(-0.634487\pi\) |
0.584850 | + | 0.811142i | \(0.301153\pi\) | |||||||
\(12\) | −1.44927 | − | 0.948485i | −0.418367 | − | 0.273804i | ||||
\(13\) | 0.867380 | + | 0.500782i | 0.240568 | + | 0.138892i | 0.615438 | − | 0.788185i | \(-0.288979\pi\) |
−0.374870 | + | 0.927077i | \(0.622313\pi\) | |||||||
\(14\) | 0.744936 | + | 2.53871i | 0.199092 | + | 0.678500i | ||||
\(15\) | −0.531299 | − | 0.347713i | −0.137181 | − | 0.0897791i | ||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | 4.98906 | 1.21003 | 0.605013 | − | 0.796216i | \(-0.293168\pi\) | ||||
0.605013 | + | 0.796216i | \(0.293168\pi\) | |||||||
\(18\) | −2.74922 | + | 1.20075i | −0.647997 | + | 0.283020i | ||||
\(19\) | 6.35722i | 1.45845i | 0.684275 | + | 0.729224i | \(0.260119\pi\) | ||||
−0.684275 | + | 0.729224i | \(0.739881\pi\) | |||||||
\(20\) | −0.183299 | − | 0.317483i | −0.0409869 | − | 0.0709914i | ||||
\(21\) | 4.38584 | + | 1.32832i | 0.957068 | + | 0.289864i | ||||
\(22\) | 0.334727 | − | 0.579764i | 0.0713640 | − | 0.123606i | ||||
\(23\) | −6.66371 | − | 3.84729i | −1.38948 | − | 0.802216i | −0.396223 | − | 0.918154i | \(-0.629679\pi\) |
−0.993256 | + | 0.115938i | \(0.963012\pi\) | |||||||
\(24\) | −1.72934 | − | 0.0967785i | −0.353001 | − | 0.0197548i | ||||
\(25\) | 2.43280 | + | 4.21374i | 0.486561 | + | 0.842748i | ||||
\(26\) | 1.00156 | 0.196423 | ||||||||
\(27\) | −0.867380 | + | 5.12325i | −0.166927 | + | 0.985969i | ||||
\(28\) | 1.91449 | + | 1.82612i | 0.361805 | + | 0.345105i | ||||
\(29\) | 1.58394 | − | 0.914490i | 0.294131 | − | 0.169817i | −0.345672 | − | 0.938355i | \(-0.612349\pi\) |
0.639803 | + | 0.768539i | \(0.279016\pi\) | |||||||
\(30\) | −0.633975 | − | 0.0354788i | −0.115747 | − | 0.00647751i | ||||
\(31\) | −5.47837 | − | 3.16294i | −0.983944 | − | 0.568081i | −0.0804857 | − | 0.996756i | \(-0.525647\pi\) |
−0.903459 | + | 0.428675i | \(0.858980\pi\) | |||||||
\(32\) | −0.866025 | − | 0.500000i | −0.153093 | − | 0.0883883i | ||||
\(33\) | −0.522749 | − | 1.03501i | −0.0909990 | − | 0.180171i | ||||
\(34\) | 4.32065 | − | 2.49453i | 0.740986 | − | 0.427809i | ||||
\(35\) | 0.701849 | + | 0.669453i | 0.118634 | + | 0.113158i | ||||
\(36\) | −1.78052 | + | 2.41449i | −0.296753 | + | 0.402415i | ||||
\(37\) | −5.16789 | −0.849595 | −0.424798 | − | 0.905288i | \(-0.639655\pi\) | ||||
−0.424798 | + | 0.905288i | \(0.639655\pi\) | |||||||
\(38\) | 3.17861 | + | 5.50552i | 0.515639 | + | 0.893113i | ||||
\(39\) | 0.949969 | − | 1.45154i | 0.152117 | − | 0.232432i | ||||
\(40\) | −0.317483 | − | 0.183299i | −0.0501985 | − | 0.0289821i | ||||
\(41\) | 2.15928 | − | 3.73998i | 0.337223 | − | 0.584087i | −0.646686 | − | 0.762756i | \(-0.723846\pi\) |
0.983909 | + | 0.178669i | \(0.0571790\pi\) | |||||||
\(42\) | 4.46241 | − | 1.04256i | 0.688564 | − | 0.160870i | ||||
\(43\) | 2.24922 | + | 3.89576i | 0.343002 | + | 0.594098i | 0.984989 | − | 0.172618i | \(-0.0552228\pi\) |
−0.641986 | + | 0.766716i | \(0.721889\pi\) | |||||||
\(44\) | − | 0.669453i | − | 0.100924i | ||||||
\(45\) | −0.652734 | + | 0.885148i | −0.0973038 | + | 0.131950i | ||||
\(46\) | −7.69459 | −1.13450 | ||||||||
\(47\) | −4.16450 | − | 7.21313i | −0.607455 | − | 1.05214i | −0.991658 | − | 0.128895i | \(-0.958857\pi\) |
0.384203 | − | 0.923249i | \(-0.374476\pi\) | |||||||
\(48\) | −1.54605 | + | 0.780860i | −0.223153 | + | 0.112707i | ||||
\(49\) | −6.22069 | − | 3.20983i | −0.888670 | − | 0.458548i | ||||
\(50\) | 4.21374 | + | 2.43280i | 0.595913 | + | 0.344050i | ||||
\(51\) | 0.482834 | − | 8.62781i | 0.0676102 | − | 1.20813i | ||||
\(52\) | 0.867380 | − | 0.500782i | 0.120284 | − | 0.0694460i | ||||
\(53\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(54\) | 1.81045 | + | 4.87055i | 0.246371 | + | 0.662798i | ||||
\(55\) | − | 0.245420i | − | 0.0330925i | ||||||
\(56\) | 2.57106 | + | 0.624224i | 0.343572 | + | 0.0834155i | ||||
\(57\) | 10.9938 | + | 0.615242i | 1.45617 | + | 0.0814909i | ||||
\(58\) | 0.914490 | − | 1.58394i | 0.120078 | − | 0.207982i | ||||
\(59\) | −4.36348 | + | 7.55776i | −0.568076 | + | 0.983937i | 0.428680 | + | 0.903456i | \(0.358979\pi\) |
−0.996756 | + | 0.0804804i | \(0.974355\pi\) | |||||||
\(60\) | −0.566778 | + | 0.286262i | −0.0731707 | + | 0.0369562i | ||||
\(61\) | 4.29351 | − | 2.47886i | 0.549727 | − | 0.317385i | −0.199285 | − | 0.979942i | \(-0.563862\pi\) |
0.749012 | + | 0.662556i | \(0.230529\pi\) | |||||||
\(62\) | −6.32588 | −0.803387 | ||||||||
\(63\) | 2.72158 | − | 7.45607i | 0.342887 | − | 0.939377i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 0.317980 | − | 0.183586i | 0.0394406 | − | 0.0227710i | ||||
\(66\) | −0.970217 | − | 0.634967i | −0.119425 | − | 0.0781590i | ||||
\(67\) | 5.44537 | − | 9.43166i | 0.665258 | − | 1.15226i | −0.313958 | − | 0.949437i | \(-0.601655\pi\) |
0.979215 | − | 0.202823i | \(-0.0650117\pi\) | |||||||
\(68\) | 2.49453 | − | 4.32065i | 0.302506 | − | 0.523956i | ||||
\(69\) | −7.29820 | + | 11.1515i | −0.878600 | + | 1.34248i | ||||
\(70\) | 0.942545 | + | 0.228839i | 0.112656 | + | 0.0273515i | ||||
\(71\) | 5.49843i | 0.652544i | 0.945276 | + | 0.326272i | \(0.105793\pi\) | ||||
−0.945276 | + | 0.326272i | \(0.894207\pi\) | |||||||
\(72\) | −0.334727 | + | 2.98127i | −0.0394479 | + | 0.351346i | ||||
\(73\) | − | 4.07314i | − | 0.476725i | −0.971176 | − | 0.238363i | \(-0.923389\pi\) | ||
0.971176 | − | 0.238363i | \(-0.0766106\pi\) | |||||||
\(74\) | −4.47552 | + | 2.58394i | −0.520269 | + | 0.300377i | ||||
\(75\) | 7.52245 | − | 3.79936i | 0.868618 | − | 0.438712i | ||||
\(76\) | 5.50552 | + | 3.17861i | 0.631526 | + | 0.364612i | ||||
\(77\) | 0.498700 | + | 1.69955i | 0.0568321 | + | 0.193682i | ||||
\(78\) | 0.0969299 | − | 1.73205i | 0.0109751 | − | 0.196116i | ||||
\(79\) | −4.17784 | − | 7.23623i | −0.470044 | − | 0.814140i | 0.529370 | − | 0.848391i | \(-0.322429\pi\) |
−0.999413 | + | 0.0342518i | \(0.989095\pi\) | |||||||
\(80\) | −0.366598 | −0.0409869 | ||||||||
\(81\) | 8.77592 | + | 1.99582i | 0.975102 | + | 0.221758i | ||||
\(82\) | − | 4.31856i | − | 0.476905i | ||||||
\(83\) | −8.50712 | − | 14.7348i | −0.933778 | − | 1.61735i | −0.776798 | − | 0.629750i | \(-0.783158\pi\) |
−0.156980 | − | 0.987602i | \(-0.550176\pi\) | |||||||
\(84\) | 3.34328 | − | 3.13408i | 0.364782 | − | 0.341957i | ||||
\(85\) | 0.914490 | − | 1.58394i | 0.0991904 | − | 0.171803i | ||||
\(86\) | 3.89576 | + | 2.24922i | 0.420090 | + | 0.242539i | ||||
\(87\) | −1.42818 | − | 2.82769i | −0.153117 | − | 0.303160i | ||||
\(88\) | −0.334727 | − | 0.579764i | −0.0356820 | − | 0.0618030i | ||||
\(89\) | −10.7113 | −1.13540 | −0.567699 | − | 0.823236i | \(-0.692166\pi\) | ||||
−0.567699 | + | 0.823236i | \(0.692166\pi\) | |||||||
\(90\) | −0.122710 | + | 1.09293i | −0.0129348 | + | 0.115205i | ||||
\(91\) | −1.82898 | + | 1.91749i | −0.191729 | + | 0.201007i | ||||
\(92\) | −6.66371 | + | 3.84729i | −0.694740 | + | 0.401108i | ||||
\(93\) | −6.00000 | + | 9.16789i | −0.622171 | + | 0.950666i | ||||
\(94\) | −7.21313 | − | 4.16450i | −0.743978 | − | 0.429536i | ||||
\(95\) | 2.01831 | + | 1.16527i | 0.207074 | + | 0.119555i | ||||
\(96\) | −0.948485 | + | 1.44927i | −0.0968044 | + | 0.147915i | ||||
\(97\) | 14.9093 | − | 8.60787i | 1.51381 | − | 0.873997i | 0.513937 | − | 0.857828i | \(-0.328186\pi\) |
0.999869 | − | 0.0161687i | \(-0.00514689\pi\) | |||||||
\(98\) | −6.99219 | + | 0.330547i | −0.706318 | + | 0.0333902i | ||||
\(99\) | −1.84047 | + | 0.803848i | −0.184974 | + | 0.0807897i | ||||
\(100\) | 4.86561 | 0.486561 | ||||||||
\(101\) | 7.86586 | + | 13.6241i | 0.782683 | + | 1.35565i | 0.930374 | + | 0.366613i | \(0.119483\pi\) |
−0.147691 | + | 0.989034i | \(0.547184\pi\) | |||||||
\(102\) | −3.89576 | − | 7.71332i | −0.385738 | − | 0.763732i | ||||
\(103\) | 9.91124 | + | 5.72226i | 0.976584 | + | 0.563831i | 0.901237 | − | 0.433327i | \(-0.142660\pi\) |
0.0753467 | + | 0.997157i | \(0.475994\pi\) | |||||||
\(104\) | 0.500782 | − | 0.867380i | 0.0491057 | − | 0.0850537i | ||||
\(105\) | 1.22564 | − | 1.14895i | 0.119610 | − | 0.112126i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 11.0618i | 1.06938i | 0.845048 | + | 0.534690i | \(0.179572\pi\) | ||||
−0.845048 | + | 0.534690i | \(0.820428\pi\) | |||||||
\(108\) | 4.00317 | + | 3.31280i | 0.385205 | + | 0.318774i | ||||
\(109\) | −10.5633 | −1.01178 | −0.505891 | − | 0.862597i | \(-0.668836\pi\) | ||||
−0.505891 | + | 0.862597i | \(0.668836\pi\) | |||||||
\(110\) | −0.122710 | − | 0.212540i | −0.0117000 | − | 0.0202649i | ||||
\(111\) | −0.500140 | + | 8.93706i | −0.0474712 | + | 0.848268i | ||||
\(112\) | 2.53871 | − | 0.744936i | 0.239886 | − | 0.0703898i | ||||
\(113\) | 3.60226 | + | 2.07976i | 0.338872 | + | 0.195648i | 0.659773 | − | 0.751465i | \(-0.270652\pi\) |
−0.320901 | + | 0.947113i | \(0.603986\pi\) | |||||||
\(114\) | 9.82856 | − | 4.96410i | 0.920529 | − | 0.464931i | ||||
\(115\) | −2.44290 | + | 1.41041i | −0.227802 | + | 0.131521i | ||||
\(116\) | − | 1.82898i | − | 0.169817i | ||||||
\(117\) | −2.41827 | − | 1.78330i | −0.223569 | − | 0.164866i | ||||
\(118\) | 8.72695i | 0.803381i | ||||||||
\(119\) | −3.11429 | + | 12.8272i | −0.285487 | + | 1.17586i | ||||
\(120\) | −0.347713 | + | 0.531299i | −0.0317417 | + | 0.0485007i | ||||
\(121\) | −5.27592 | + | 9.13815i | −0.479629 | + | 0.830741i | ||||
\(122\) | 2.47886 | − | 4.29351i | 0.224425 | − | 0.388716i | ||||
\(123\) | −6.25875 | − | 4.09609i | −0.564332 | − | 0.369332i | ||||
\(124\) | −5.47837 | + | 3.16294i | −0.491972 | + | 0.284040i | ||||
\(125\) | 3.61671 | 0.323489 | ||||||||
\(126\) | −1.37108 | − | 7.81794i | −0.122145 | − | 0.696477i | ||||
\(127\) | −1.66945 | −0.148140 | −0.0740700 | − | 0.997253i | \(-0.523599\pi\) | ||||
−0.0740700 | + | 0.997253i | \(0.523599\pi\) | |||||||
\(128\) | −0.866025 | + | 0.500000i | −0.0765466 | + | 0.0441942i | ||||
\(129\) | 6.95479 | − | 3.51265i | 0.612335 | − | 0.309271i | ||||
\(130\) | 0.183586 | − | 0.317980i | 0.0161015 | − | 0.0278887i | ||||
\(131\) | −6.76607 | + | 11.7192i | −0.591154 | + | 1.02391i | 0.402923 | + | 0.915234i | \(0.367994\pi\) |
−0.994077 | + | 0.108675i | \(0.965339\pi\) | |||||||
\(132\) | −1.15772 | − | 0.0647887i | −0.100766 | − | 0.00563913i | ||||
\(133\) | −16.3448 | − | 3.96833i | −1.41727 | − | 0.344098i | ||||
\(134\) | − | 10.8907i | − | 0.940817i | ||||||
\(135\) | 1.46755 | + | 1.21446i | 0.126307 | + | 0.104525i | ||||
\(136\) | − | 4.98906i | − | 0.427809i | ||||||
\(137\) | 7.78428 | − | 4.49425i | 0.665056 | − | 0.383970i | −0.129145 | − | 0.991626i | \(-0.541223\pi\) |
0.794201 | + | 0.607656i | \(0.207890\pi\) | |||||||
\(138\) | −0.744670 | + | 13.3066i | −0.0633905 | + | 1.13273i | ||||
\(139\) | 8.05336 | + | 4.64961i | 0.683077 | + | 0.394375i | 0.801014 | − | 0.598646i | \(-0.204294\pi\) |
−0.117936 | + | 0.993021i | \(0.537628\pi\) | |||||||
\(140\) | 0.930688 | − | 0.273092i | 0.0786575 | − | 0.0230805i | ||||
\(141\) | −12.8770 | + | 6.50379i | −1.08444 | + | 0.547718i | ||||
\(142\) | 2.74922 | + | 4.76178i | 0.230709 | + | 0.399600i | ||||
\(143\) | 0.670501 | 0.0560701 | ||||||||
\(144\) | 1.20075 | + | 2.74922i | 0.100063 | + | 0.229101i | ||||
\(145\) | − | 0.670501i | − | 0.0556821i | ||||||
\(146\) | −2.03657 | − | 3.52744i | −0.168548 | − | 0.291933i | ||||
\(147\) | −6.15294 | + | 10.4471i | −0.507486 | + | 0.861660i | ||||
\(148\) | −2.58394 | + | 4.47552i | −0.212399 | + | 0.367886i | ||||
\(149\) | −2.45268 | − | 1.41606i | −0.200931 | − | 0.116008i | 0.396158 | − | 0.918182i | \(-0.370343\pi\) |
−0.597090 | + | 0.802174i | \(0.703676\pi\) | |||||||
\(150\) | 4.61495 | − | 7.05156i | 0.376809 | − | 0.575758i | ||||
\(151\) | 8.27592 | + | 14.3343i | 0.673484 | + | 1.16651i | 0.976909 | + | 0.213654i | \(0.0685365\pi\) |
−0.303425 | + | 0.952855i | \(0.598130\pi\) | |||||||
\(152\) | 6.35722 | 0.515639 | ||||||||
\(153\) | −14.8737 | − | 1.66997i | −1.20247 | − | 0.135009i | ||||
\(154\) | 1.28166 | + | 1.22250i | 0.103279 | + | 0.0985122i | ||||
\(155\) | −2.00836 | + | 1.15953i | −0.161315 | + | 0.0931355i | ||||
\(156\) | −0.782082 | − | 1.54846i | −0.0626166 | − | 0.123976i | ||||
\(157\) | −2.45480 | − | 1.41728i | −0.195914 | − | 0.113111i | 0.398834 | − | 0.917023i | \(-0.369415\pi\) |
−0.594748 | + | 0.803912i | \(0.702748\pi\) | |||||||
\(158\) | −7.23623 | − | 4.17784i | −0.575684 | − | 0.332371i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −0.317483 | + | 0.183299i | −0.0250993 | + | 0.0144911i | ||||
\(161\) | 14.0513 | − | 14.7312i | 1.10739 | − | 1.16098i | ||||
\(162\) | 8.59808 | − | 2.65953i | 0.675529 | − | 0.208952i | ||||
\(163\) | 24.7281 | 1.93685 | 0.968426 | − | 0.249300i | \(-0.0802005\pi\) | ||||
0.968426 | + | 0.249300i | \(0.0802005\pi\) | |||||||
\(164\) | −2.15928 | − | 3.73998i | −0.168611 | − | 0.292044i | ||||
\(165\) | −0.424416 | − | 0.0237514i | −0.0330408 | − | 0.00184904i | ||||
\(166\) | −14.7348 | − | 8.50712i | −1.14364 | − | 0.660281i | ||||
\(167\) | 9.67422 | − | 16.7562i | 0.748614 | − | 1.29664i | −0.199874 | − | 0.979822i | \(-0.564053\pi\) |
0.948487 | − | 0.316815i | \(-0.102614\pi\) | |||||||
\(168\) | 1.32832 | − | 4.38584i | 0.102482 | − | 0.338375i | ||||
\(169\) | −5.99843 | − | 10.3896i | −0.461418 | − | 0.799199i | ||||
\(170\) | − | 1.82898i | − | 0.140276i | ||||||
\(171\) | 2.12793 | − | 18.9526i | 0.162727 | − | 1.44934i | ||||
\(172\) | 4.49843 | 0.343002 | ||||||||
\(173\) | 2.41827 | + | 4.18856i | 0.183858 | + | 0.318451i | 0.943191 | − | 0.332251i | \(-0.107808\pi\) |
−0.759333 | + | 0.650702i | \(0.774475\pi\) | |||||||
\(174\) | −2.65068 | − | 1.73476i | −0.200948 | − | 0.131512i | ||||
\(175\) | −12.3524 | + | 3.62456i | −0.933752 | + | 0.273991i | ||||
\(176\) | −0.579764 | − | 0.334727i | −0.0437013 | − | 0.0252310i | ||||
\(177\) | 12.6477 | + | 8.27738i | 0.950658 | + | 0.622166i | ||||
\(178\) | −9.27628 | + | 5.35566i | −0.695286 | + | 0.401424i | ||||
\(179\) | 3.65796i | 0.273409i | 0.990612 | + | 0.136704i | \(0.0436511\pi\) | ||||
−0.990612 | + | 0.136704i | \(0.956349\pi\) | |||||||
\(180\) | 0.440193 | + | 1.00786i | 0.0328101 | + | 0.0751213i | ||||
\(181\) | − | 5.66796i | − | 0.421296i | −0.977562 | − | 0.210648i | \(-0.932443\pi\) | ||
0.977562 | − | 0.210648i | \(-0.0675574\pi\) | |||||||
\(182\) | −0.625201 | + | 2.57508i | −0.0463430 | + | 0.190878i | ||||
\(183\) | −3.87128 | − | 7.66485i | −0.286173 | − | 0.566602i | ||||
\(184\) | −3.84729 | + | 6.66371i | −0.283626 | + | 0.491255i | ||||
\(185\) | −0.947269 | + | 1.64072i | −0.0696446 | + | 0.120628i | ||||
\(186\) | −0.612209 | + | 10.9396i | −0.0448893 | + | 0.802132i | ||||
\(187\) | 2.89248 | − | 1.66997i | 0.211519 | − | 0.122120i | ||||
\(188\) | −8.32901 | −0.607455 | ||||||||
\(189\) | −12.6307 | − | 5.42814i | −0.918750 | − | 0.394839i | ||||
\(190\) | 2.33055 | 0.169076 | ||||||||
\(191\) | 23.7098 | − | 13.6888i | 1.71558 | − | 0.990490i | 0.788996 | − | 0.614398i | \(-0.210601\pi\) |
0.926583 | − | 0.376091i | \(-0.122732\pi\) | |||||||
\(192\) | −0.0967785 | + | 1.72934i | −0.00698438 | + | 0.124805i | ||||
\(193\) | 5.01413 | − | 8.68473i | 0.360925 | − | 0.625141i | −0.627188 | − | 0.778868i | \(-0.715794\pi\) |
0.988113 | + | 0.153727i | \(0.0491276\pi\) | |||||||
\(194\) | 8.60787 | − | 14.9093i | 0.618009 | − | 1.07042i | ||||
\(195\) | −0.286710 | − | 0.567664i | −0.0205317 | − | 0.0406513i | ||||
\(196\) | −5.89014 | + | 3.78236i | −0.420724 | + | 0.270168i | ||||
\(197\) | − | 18.8258i | − | 1.34129i | −0.741780 | − | 0.670643i | \(-0.766018\pi\) | ||
0.741780 | − | 0.670643i | \(-0.233982\pi\) | |||||||
\(198\) | −1.19197 | + | 1.61639i | −0.0847098 | + | 0.114872i | ||||
\(199\) | 5.36406i | 0.380248i | 0.981760 | + | 0.190124i | \(0.0608890\pi\) | ||||
−0.981760 | + | 0.190124i | \(0.939111\pi\) | |||||||
\(200\) | 4.21374 | − | 2.43280i | 0.297956 | − | 0.172025i | ||||
\(201\) | −15.7836 | − | 10.3297i | −1.11329 | − | 0.728601i | ||||
\(202\) | 13.6241 | + | 7.86586i | 0.958587 | + | 0.553440i | ||||
\(203\) | 1.36247 | + | 4.64326i | 0.0956268 | + | 0.325893i | ||||
\(204\) | −7.23048 | − | 4.73205i | −0.506235 | − | 0.331310i | ||||
\(205\) | −0.791588 | − | 1.37107i | −0.0552869 | − | 0.0957597i | ||||
\(206\) | 11.4445 | 0.797377 | ||||||||
\(207\) | 18.5785 | + | 13.7003i | 1.29130 | + | 0.952239i | ||||
\(208\) | − | 1.00156i | − | 0.0694460i | ||||||
\(209\) | 2.12793 | + | 3.68569i | 0.147192 | + | 0.254944i | ||||
\(210\) | 0.486960 | − | 1.60784i | 0.0336035 | − | 0.110951i | ||||
\(211\) | −0.828981 | + | 1.43584i | −0.0570694 | + | 0.0988471i | −0.893149 | − | 0.449762i | \(-0.851509\pi\) |
0.836079 | + | 0.548609i | \(0.184842\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 9.50869 | + | 0.532130i | 0.651525 | + | 0.0364609i | ||||
\(214\) | 5.53088 | + | 9.57976i | 0.378083 | + | 0.654859i | ||||
\(215\) | 1.64912 | 0.112469 | ||||||||
\(216\) | 5.12325 | + | 0.867380i | 0.348593 | + | 0.0590178i | ||||
\(217\) | 11.5518 | − | 12.1108i | 0.784189 | − | 0.822137i | ||||
\(218\) | −9.14811 | + | 5.28166i | −0.619588 | + | 0.357719i | ||||
\(219\) | −7.04387 | − | 0.394192i | −0.475980 | − | 0.0266370i | ||||
\(220\) | −0.212540 | − | 0.122710i | −0.0143295 | − | 0.00827312i | ||||
\(221\) | 4.32741 | + | 2.49843i | 0.291093 | + | 0.168063i | ||||
\(222\) | 4.03540 | + | 7.98979i | 0.270838 | + | 0.536240i | ||||
\(223\) | −14.7546 | + | 8.51860i | −0.988044 | + | 0.570448i | −0.904689 | − | 0.426072i | \(-0.859897\pi\) |
−0.0833551 | + | 0.996520i | \(0.526564\pi\) | |||||||
\(224\) | 1.82612 | − | 1.91449i | 0.122013 | − | 0.127917i | ||||
\(225\) | −5.84239 | − | 13.3766i | −0.389492 | − | 0.891774i | ||||
\(226\) | 4.15953 | 0.276688 | ||||||||
\(227\) | −2.55512 | − | 4.42560i | −0.169589 | − | 0.293737i | 0.768686 | − | 0.639626i | \(-0.220911\pi\) |
−0.938276 | + | 0.345889i | \(0.887577\pi\) | |||||||
\(228\) | 6.02973 | − | 9.21332i | 0.399329 | − | 0.610167i | ||||
\(229\) | 13.2215 | + | 7.63345i | 0.873703 | + | 0.504433i | 0.868577 | − | 0.495554i | \(-0.165035\pi\) |
0.00512595 | + | 0.999987i | \(0.498368\pi\) | |||||||
\(230\) | −1.41041 | + | 2.44290i | −0.0929997 | + | 0.161080i | ||||
\(231\) | 2.98737 | − | 0.697944i | 0.196555 | − | 0.0459213i | ||||
\(232\) | −0.914490 | − | 1.58394i | −0.0600392 | − | 0.103991i | ||||
\(233\) | 10.1930i | 0.667767i | 0.942614 | + | 0.333883i | \(0.108359\pi\) | ||||
−0.942614 | + | 0.333883i | \(0.891641\pi\) | |||||||
\(234\) | −2.98593 | − | 0.335250i | −0.195197 | − | 0.0219160i | ||||
\(235\) | −3.05340 | −0.199182 | ||||||||
\(236\) | 4.36348 | + | 7.55776i | 0.284038 | + | 0.491968i | ||||
\(237\) | −12.9183 | + | 6.52461i | −0.839131 | + | 0.423819i | ||||
\(238\) | 3.71653 | + | 12.6658i | 0.240907 | + | 0.821002i | ||||
\(239\) | −16.6117 | − | 9.59076i | −1.07452 | − | 0.620375i | −0.145108 | − | 0.989416i | \(-0.546353\pi\) |
−0.929413 | + | 0.369041i | \(0.879686\pi\) | |||||||
\(240\) | −0.0354788 | + | 0.633975i | −0.00229015 | + | 0.0409229i | ||||
\(241\) | −17.9140 | + | 10.3426i | −1.15394 | + | 0.666227i | −0.949844 | − | 0.312724i | \(-0.898759\pi\) |
−0.204095 | + | 0.978951i | \(0.565425\pi\) | |||||||
\(242\) | 10.5518i | 0.678297i | ||||||||
\(243\) | 4.30078 | − | 14.9834i | 0.275895 | − | 0.961188i | ||||
\(244\) | − | 4.95771i | − | 0.317385i | ||||||
\(245\) | −2.15931 | + | 1.38661i | −0.137954 | + | 0.0885869i | ||||
\(246\) | −7.46828 | − | 0.417944i | −0.476160 | − | 0.0266471i | ||||
\(247\) | −3.18359 | + | 5.51413i | −0.202567 | + | 0.350856i | ||||
\(248\) | −3.16294 | + | 5.47837i | −0.200847 | + | 0.347877i | ||||
\(249\) | −26.3048 | + | 13.2857i | −1.66700 | + | 0.841950i | ||||
\(250\) | 3.13216 | − | 1.80836i | 0.198096 | − | 0.114370i | ||||
\(251\) | 1.81200 | 0.114373 | 0.0571864 | − | 0.998364i | \(-0.481787\pi\) | ||||
0.0571864 | + | 0.998364i | \(0.481787\pi\) | |||||||
\(252\) | −5.09636 | − | 6.08499i | −0.321040 | − | 0.383319i | ||||
\(253\) | −5.15117 | −0.323851 | ||||||||
\(254\) | −1.44579 | + | 0.834727i | −0.0907169 | + | 0.0523754i | ||||
\(255\) | −2.65068 | − | 1.73476i | −0.165992 | − | 0.108635i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −3.22773 | + | 5.59059i | −0.201340 | + | 0.348731i | −0.948960 | − | 0.315395i | \(-0.897863\pi\) |
0.747620 | + | 0.664126i | \(0.231196\pi\) | |||||||
\(258\) | 4.26670 | − | 6.51943i | 0.265633 | − | 0.405882i | ||||
\(259\) | 3.22592 | − | 13.2869i | 0.200449 | − | 0.825611i | ||||
\(260\) | − | 0.367172i | − | 0.0227710i | ||||||
\(261\) | −5.02826 | + | 2.19615i | −0.311242 | + | 0.135938i | ||||
\(262\) | 13.5321i | 0.836018i | ||||||||
\(263\) | −7.63888 | + | 4.41031i | −0.471034 | + | 0.271951i | −0.716672 | − | 0.697410i | \(-0.754336\pi\) |
0.245639 | + | 0.969361i | \(0.421002\pi\) | |||||||
\(264\) | −1.03501 | + | 0.522749i | −0.0637002 | + | 0.0321730i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −16.1392 | + | 4.73572i | −0.989557 | + | 0.290366i | ||||
\(267\) | −1.03663 | + | 18.5236i | −0.0634404 | + | 1.13362i | ||||
\(268\) | −5.44537 | − | 9.43166i | −0.332629 | − | 0.576130i | ||||
\(269\) | −14.2653 | −0.869773 | −0.434886 | − | 0.900485i | \(-0.643212\pi\) | ||||
−0.434886 | + | 0.900485i | \(0.643212\pi\) | |||||||
\(270\) | 1.87817 | + | 0.317980i | 0.114302 | + | 0.0193516i | ||||
\(271\) | − | 3.05281i | − | 0.185445i | −0.995692 | − | 0.0927226i | \(-0.970443\pi\) | ||
0.995692 | − | 0.0927226i | \(-0.0295570\pi\) | |||||||
\(272\) | −2.49453 | − | 4.32065i | −0.151253 | − | 0.261978i | ||||
\(273\) | 3.13899 | + | 3.34851i | 0.189980 | + | 0.202661i | ||||
\(274\) | 4.49425 | − | 7.78428i | 0.271508 | − | 0.470265i | ||||
\(275\) | 2.82090 | + | 1.62865i | 0.170107 | + | 0.0982112i | ||||
\(276\) | 6.00839 | + | 11.8962i | 0.361663 | + | 0.716066i | ||||
\(277\) | −0.632828 | − | 1.09609i | −0.0380230 | − | 0.0658577i | 0.846388 | − | 0.532567i | \(-0.178773\pi\) |
−0.884411 | + | 0.466710i | \(0.845439\pi\) | |||||||
\(278\) | 9.29922 | 0.557730 | ||||||||
\(279\) | 15.2738 | + | 11.2633i | 0.914417 | + | 0.674318i | ||||
\(280\) | 0.669453 | − | 0.701849i | 0.0400075 | − | 0.0419435i | ||||
\(281\) | 9.11639 | − | 5.26335i | 0.543838 | − | 0.313985i | −0.202795 | − | 0.979221i | \(-0.565002\pi\) |
0.746633 | + | 0.665236i | \(0.231669\pi\) | |||||||
\(282\) | −7.89994 | + | 12.0710i | −0.470434 | + | 0.718815i | ||||
\(283\) | 17.2094 | + | 9.93588i | 1.02300 | + | 0.590627i | 0.914970 | − | 0.403522i | \(-0.132214\pi\) |
0.108025 | + | 0.994148i | \(0.465547\pi\) | |||||||
\(284\) | 4.76178 | + | 2.74922i | 0.282560 | + | 0.163136i | ||||
\(285\) | 2.21049 | − | 3.37759i | 0.130938 | − | 0.200071i | ||||
\(286\) | 0.580671 | − | 0.335250i | 0.0343358 | − | 0.0198238i | ||||
\(287\) | 8.26784 | + | 7.88623i | 0.488035 | + | 0.465509i | ||||
\(288\) | 2.41449 | + | 1.78052i | 0.142275 | + | 0.104918i | ||||
\(289\) | 7.89074 | 0.464161 | ||||||||
\(290\) | −0.335250 | − | 0.580671i | −0.0196866 | − | 0.0340982i | ||||
\(291\) | −13.4431 | − | 26.6163i | −0.788047 | − | 1.56028i | ||||
\(292\) | −3.52744 | − | 2.03657i | −0.206428 | − | 0.119181i | ||||
\(293\) | −6.70606 | + | 11.6152i | −0.391772 | + | 0.678569i | −0.992683 | − | 0.120747i | \(-0.961471\pi\) |
0.600911 | + | 0.799316i | \(0.294804\pi\) | |||||||
\(294\) | −0.105064 | + | 12.1239i | −0.00612748 | + | 0.707080i | ||||
\(295\) | 1.59964 | + | 2.77066i | 0.0931348 | + | 0.161314i | ||||
\(296\) | 5.16789i | 0.300377i | ||||||||
\(297\) | 1.21201 | + | 3.26061i | 0.0703280 | + | 0.189200i | ||||
\(298\) | −2.83211 | −0.164060 | ||||||||
\(299\) | −3.85331 | − | 6.67413i | −0.222843 | − | 0.385975i | ||||
\(300\) | 0.470886 | − | 8.41431i | 0.0271866 | − | 0.485800i | ||||
\(301\) | −11.4202 | + | 3.35104i | −0.658252 | + | 0.193151i | ||||
\(302\) | 14.3343 | + | 8.27592i | 0.824847 | + | 0.476225i | ||||
\(303\) | 24.3220 | − | 12.2843i | 1.39726 | − | 0.705713i | ||||
\(304\) | 5.50552 | − | 3.17861i | 0.315763 | − | 0.182306i | ||||
\(305\) | − | 1.81749i | − | 0.104069i | ||||||
\(306\) | −13.7160 | + | 5.99063i | −0.784092 | + | 0.342461i | ||||
\(307\) | − | 0.653728i | − | 0.0373102i | −0.999826 | − | 0.0186551i | \(-0.994062\pi\) | ||
0.999826 | − | 0.0186551i | \(-0.00593845\pi\) | |||||||
\(308\) | 1.72120 | + | 0.417889i | 0.0980747 | + | 0.0238114i | ||||
\(309\) | 10.8550 | − | 16.5862i | 0.617517 | − | 0.943554i | ||||
\(310\) | −1.15953 | + | 2.00836i | −0.0658567 | + | 0.114067i | ||||
\(311\) | −4.62246 | + | 8.00634i | −0.262116 | + | 0.453998i | −0.966804 | − | 0.255519i | \(-0.917754\pi\) |
0.704688 | + | 0.709517i | \(0.251087\pi\) | |||||||
\(312\) | −1.45154 | − | 0.949969i | −0.0821770 | − | 0.0537814i | ||||
\(313\) | 5.33830 | − | 3.08207i | 0.301739 | − | 0.174209i | −0.341485 | − | 0.939887i | \(-0.610930\pi\) |
0.643224 | + | 0.765678i | \(0.277597\pi\) | |||||||
\(314\) | −2.83456 | −0.159963 | ||||||||
\(315\) | −1.86831 | − | 2.23075i | −0.105268 | − | 0.125688i | ||||
\(316\) | −8.35568 | −0.470044 | ||||||||
\(317\) | −17.8876 | + | 10.3274i | −1.00467 | + | 0.580045i | −0.909626 | − | 0.415428i | \(-0.863632\pi\) |
−0.0950420 | + | 0.995473i | \(0.530299\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.612209 | − | 1.06038i | 0.0342771 | − | 0.0593697i | ||||
\(320\) | −0.183299 | + | 0.317483i | −0.0102467 | + | 0.0177479i | ||||
\(321\) | 19.1296 | + | 1.07054i | 1.06771 | + | 0.0597517i | ||||
\(322\) | 4.80315 | − | 19.7832i | 0.267669 | − | 1.10248i | ||||
\(323\) | 31.7166i | 1.76476i | ||||||||
\(324\) | 6.11639 | − | 6.60226i | 0.339799 | − | 0.366792i | ||||
\(325\) | 4.87322i | 0.270318i | ||||||||
\(326\) | 21.4151 | − | 12.3640i | 1.18608 | − | 0.684781i | ||||
\(327\) | −1.02230 | + | 18.2676i | −0.0565334 | + | 1.01020i | ||||
\(328\) | −3.73998 | − | 2.15928i | −0.206506 | − | 0.119226i | ||||
\(329\) | 21.1450 | − | 6.20457i | 1.16576 | − | 0.342069i | ||||
\(330\) | −0.379431 | + | 0.191639i | −0.0208870 | + | 0.0105494i | ||||
\(331\) | −5.35568 | − | 9.27631i | −0.294375 | − | 0.509872i | 0.680464 | − | 0.732781i | \(-0.261778\pi\) |
−0.974839 | + | 0.222909i | \(0.928445\pi\) | |||||||
\(332\) | −17.0142 | −0.933778 | ||||||||
\(333\) | 15.4069 | + | 1.72983i | 0.844291 | + | 0.0947941i | ||||
\(334\) | − | 19.3484i | − | 1.05870i | ||||||
\(335\) | −1.99626 | − | 3.45763i | −0.109067 | − | 0.188910i | ||||
\(336\) | −1.04256 | − | 4.46241i | −0.0568762 | − | 0.243444i | ||||
\(337\) | 3.77592 | − | 6.54008i | 0.205687 | − | 0.356261i | −0.744664 | − | 0.667439i | \(-0.767390\pi\) |
0.950351 | + | 0.311179i | \(0.100724\pi\) | |||||||
\(338\) | −10.3896 | − | 5.99843i | −0.565119 | − | 0.326272i | ||||
\(339\) | 3.94525 | − | 6.02827i | 0.214277 | − | 0.327411i | ||||
\(340\) | −0.914490 | − | 1.58394i | −0.0495952 | − | 0.0859014i | ||||
\(341\) | −4.23488 | −0.229332 | ||||||||
\(342\) | −7.63345 | − | 17.4774i | −0.412770 | − | 0.945069i | ||||
\(343\) | 12.1358 | − | 13.9901i | 0.655270 | − | 0.755394i | ||||
\(344\) | 3.89576 | − | 2.24922i | 0.210045 | − | 0.121270i | ||||
\(345\) | 2.20267 | + | 4.36112i | 0.118588 | + | 0.234795i | ||||
\(346\) | 4.18856 | + | 2.41827i | 0.225179 | + | 0.130007i | ||||
\(347\) | −9.46737 | − | 5.46599i | −0.508235 | − | 0.293430i | 0.223873 | − | 0.974618i | \(-0.428130\pi\) |
−0.732108 | + | 0.681189i | \(0.761463\pi\) | |||||||
\(348\) | −3.16294 | − | 0.177006i | −0.169551 | − | 0.00948851i | ||||
\(349\) | −1.02562 | + | 0.592145i | −0.0549004 | + | 0.0316968i | −0.527199 | − | 0.849742i | \(-0.676758\pi\) |
0.472299 | + | 0.881439i | \(0.343424\pi\) | |||||||
\(350\) | −8.88520 | + | 9.31516i | −0.474934 | + | 0.497916i | ||||
\(351\) | −3.31798 | + | 4.00943i | −0.177101 | + | 0.214008i | ||||
\(352\) | −0.669453 | −0.0356820 | ||||||||
\(353\) | −16.7912 | − | 29.0832i | −0.893706 | − | 1.54794i | −0.835398 | − | 0.549646i | \(-0.814763\pi\) |
−0.0583086 | − | 0.998299i | \(-0.518571\pi\) | |||||||
\(354\) | 15.0919 | + | 0.844581i | 0.802126 | + | 0.0448890i | ||||
\(355\) | 1.74566 | + | 1.00786i | 0.0926501 | + | 0.0534915i | ||||
\(356\) | −5.35566 | + | 9.27628i | −0.283849 | + | 0.491642i | ||||
\(357\) | 21.8812 | + | 6.62708i | 1.15808 | + | 0.350742i | ||||
\(358\) | 1.82898 | + | 3.16789i | 0.0966646 | + | 0.167428i | ||||
\(359\) | − | 10.1281i | − | 0.534542i | −0.963621 | − | 0.267271i | \(-0.913878\pi\) | ||
0.963621 | − | 0.267271i | \(-0.0861219\pi\) | |||||||
\(360\) | 0.885148 | + | 0.652734i | 0.0466514 | + | 0.0344021i | ||||
\(361\) | −21.4143 | −1.12707 | ||||||||
\(362\) | −2.83398 | − | 4.90860i | −0.148951 | − | 0.257990i | ||||
\(363\) | 15.2924 | + | 10.0083i | 0.802644 | + | 0.525297i | ||||
\(364\) | 0.746101 | + | 2.54269i | 0.0391063 | + | 0.133273i | ||||
\(365\) | −1.29315 | − | 0.746603i | −0.0676868 | − | 0.0390790i | ||||
\(366\) | −7.18505 | − | 4.70232i | −0.375569 | − | 0.245794i | ||||
\(367\) | 15.5903 | − | 9.00104i | 0.813805 | − | 0.469850i | −0.0344706 | − | 0.999406i | \(-0.510975\pi\) |
0.848275 | + | 0.529555i | \(0.177641\pi\) | |||||||
\(368\) | 7.69459i | 0.401108i | ||||||||
\(369\) | −7.68927 | + | 10.4271i | −0.400287 | + | 0.542814i | ||||
\(370\) | 1.89454i | 0.0984923i | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 4.93962 | + | 9.78010i | 0.256108 | + | 0.507074i | ||||
\(373\) | −8.20451 | + | 14.2106i | −0.424814 | + | 0.735799i | −0.996403 | − | 0.0847411i | \(-0.972994\pi\) |
0.571589 | + | 0.820540i | \(0.306327\pi\) | |||||||
\(374\) | 1.66997 | − | 2.89248i | 0.0863522 | − | 0.149566i | ||||
\(375\) | 0.350020 | − | 6.25454i | 0.0180749 | − | 0.322983i | ||||
\(376\) | −7.21313 | + | 4.16450i | −0.371989 | + | 0.214768i | ||||
\(377\) | 1.83184 | 0.0943447 | ||||||||
\(378\) | −13.6526 | + | 1.61446i | −0.702214 | + | 0.0830387i | ||||
\(379\) | −2.91372 | −0.149668 | −0.0748339 | − | 0.997196i | \(-0.523843\pi\) | ||||
−0.0748339 | + | 0.997196i | \(0.523843\pi\) | |||||||
\(380\) | 2.01831 | − | 1.16527i | 0.103537 | − | 0.0597773i | ||||
\(381\) | −0.161567 | + | 2.88706i | −0.00827734 | + | 0.147909i | ||||
\(382\) | 13.6888 | − | 23.7098i | 0.700382 | − | 1.21310i | ||||
\(383\) | 4.28721 | − | 7.42567i | 0.219066 | − | 0.379434i | −0.735456 | − | 0.677572i | \(-0.763032\pi\) |
0.954523 | + | 0.298138i | \(0.0963655\pi\) | |||||||
\(384\) | 0.780860 | + | 1.54605i | 0.0398481 | + | 0.0788963i | ||||
\(385\) | 0.630990 | + | 0.153197i | 0.0321582 | + | 0.00780766i | ||||
\(386\) | − | 10.0283i | − | 0.510425i | ||||||
\(387\) | −5.40150 | − | 12.3672i | −0.274574 | − | 0.628659i | ||||
\(388\) | − | 17.2157i | − | 0.873997i | ||||||
\(389\) | −30.7906 | + | 17.7770i | −1.56115 | + | 0.901328i | −0.564004 | + | 0.825772i | \(0.690740\pi\) |
−0.997142 | + | 0.0755559i | \(0.975927\pi\) | |||||||
\(390\) | −0.532130 | − | 0.348257i | −0.0269455 | − | 0.0176347i | ||||
\(391\) | −33.2456 | − | 19.1944i | −1.68130 | − | 0.970702i | ||||
\(392\) | −3.20983 | + | 6.22069i | −0.162121 | + | 0.314192i | ||||
\(393\) | 19.6117 | + | 12.8350i | 0.989279 | + | 0.647442i | ||||
\(394\) | −9.41292 | − | 16.3037i | −0.474216 | − | 0.821367i | ||||
\(395\) | −3.06318 | −0.154125 | ||||||||
\(396\) | −0.224084 | + | 1.99582i | −0.0112606 | + | 0.100294i | ||||
\(397\) | 3.58034i | 0.179692i | 0.995956 | + | 0.0898460i | \(0.0286375\pi\) | ||||
−0.995956 | + | 0.0898460i | \(0.971363\pi\) | |||||||
\(398\) | 2.68203 | + | 4.64541i | 0.134438 | + | 0.232853i | ||||
\(399\) | −8.44444 | + | 27.8817i | −0.422751 | + | 1.39583i | ||||
\(400\) | 2.43280 | − | 4.21374i | 0.121640 | − | 0.210687i | ||||
\(401\) | 0.165300 | + | 0.0954357i | 0.00825467 | + | 0.00476583i | 0.504122 | − | 0.863633i | \(-0.331816\pi\) |
−0.495867 | + | 0.868398i | \(0.665150\pi\) | |||||||
\(402\) | −18.8338 | − | 1.05399i | −0.939347 | − | 0.0525682i | ||||
\(403\) | −3.16789 | − | 5.48694i | −0.157804 | − | 0.273324i | ||||
\(404\) | 15.7317 | 0.782683 | ||||||||
\(405\) | 2.24226 | − | 2.42037i | 0.111419 | − | 0.120269i | ||||
\(406\) | 3.50157 | + | 3.33994i | 0.173780 | + | 0.165759i | ||||
\(407\) | −2.99615 | + | 1.72983i | −0.148514 | + | 0.0857445i | ||||
\(408\) | −8.62781 | − | 0.482834i | −0.427140 | − | 0.0239038i | ||||
\(409\) | 3.00832 | + | 1.73685i | 0.148752 | + | 0.0858819i | 0.572529 | − | 0.819885i | \(-0.305963\pi\) |
−0.423777 | + | 0.905767i | \(0.639296\pi\) | |||||||
\(410\) | −1.37107 | − | 0.791588i | −0.0677124 | − | 0.0390938i | ||||
\(411\) | −7.01877 | − | 13.8966i | −0.346210 | − | 0.685471i | ||||
\(412\) | 9.91124 | − | 5.72226i | 0.488292 | − | 0.281915i | ||||
\(413\) | −16.7077 | − | 15.9365i | −0.822130 | − | 0.784183i | ||||
\(414\) | 22.9396 | + | 2.57558i | 1.12742 | + | 0.126583i | ||||
\(415\) | −6.23739 | −0.306182 | ||||||||
\(416\) | −0.500782 | − | 0.867380i | −0.0245529 | − | 0.0425268i | ||||
\(417\) | 8.82017 | − | 13.4771i | 0.431926 | − | 0.659975i | ||||
\(418\) | 3.68569 | + | 2.12793i | 0.180273 | + | 0.104081i | ||||
\(419\) | −0.703955 | + | 1.21929i | −0.0343905 | + | 0.0595660i | −0.882708 | − | 0.469921i | \(-0.844282\pi\) |
0.848318 | + | 0.529487i | \(0.177616\pi\) | |||||||
\(420\) | −0.382200 | − | 1.63591i | −0.0186494 | − | 0.0798242i | ||||
\(421\) | 15.1930 | + | 26.3151i | 0.740463 | + | 1.28252i | 0.952285 | + | 0.305211i | \(0.0987268\pi\) |
−0.211822 | + | 0.977308i | \(0.567940\pi\) | |||||||
\(422\) | 1.65796i | 0.0807083i | ||||||||
\(423\) | 10.0011 | + | 22.8982i | 0.486269 | + | 1.11335i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 12.1374 | + | 21.0226i | 0.588751 | + | 1.01975i | ||||
\(426\) | 8.50083 | − | 4.29351i | 0.411867 | − | 0.208021i | ||||
\(427\) | 3.69318 | + | 12.5862i | 0.178725 | + | 0.609090i | ||||
\(428\) | 9.57976 | + | 5.53088i | 0.463055 | + | 0.267345i | ||||
\(429\) | 0.0648900 | − | 1.15953i | 0.00313292 | − | 0.0559825i | ||||
\(430\) | 1.42818 | − | 0.824559i | 0.0688728 | − | 0.0397638i | ||||
\(431\) | − | 27.2747i | − | 1.31378i | −0.753988 | − | 0.656888i | \(-0.771873\pi\) | ||
0.753988 | − | 0.656888i | \(-0.228127\pi\) | |||||||
\(432\) | 4.87055 | − | 1.81045i | 0.234335 | − | 0.0871053i | ||||
\(433\) | − | 8.15047i | − | 0.391686i | −0.980635 | − | 0.195843i | \(-0.937256\pi\) | ||
0.980635 | − | 0.195843i | \(-0.0627444\pi\) | |||||||
\(434\) | 3.94876 | − | 16.2642i | 0.189547 | − | 0.780707i | ||||
\(435\) | −1.15953 | − | 0.0648900i | −0.0555951 | − | 0.00311124i | ||||
\(436\) | −5.28166 | + | 9.14811i | −0.252946 | + | 0.438115i | ||||
\(437\) | 24.4581 | − | 42.3627i | 1.16999 | − | 2.02648i | ||||
\(438\) | −6.29726 | + | 3.18055i | −0.300895 | + | 0.151973i | ||||
\(439\) | −10.6005 | + | 6.12020i | −0.505934 | + | 0.292101i | −0.731161 | − | 0.682205i | \(-0.761021\pi\) |
0.225226 | + | 0.974306i | \(0.427688\pi\) | |||||||
\(440\) | −0.245420 | −0.0117000 | ||||||||
\(441\) | 17.4711 | + | 11.6516i | 0.831958 | + | 0.554838i | ||||
\(442\) | 4.99687 | 0.237677 | ||||||||
\(443\) | 6.93544 | − | 4.00418i | 0.329513 | − | 0.190244i | −0.326112 | − | 0.945331i | \(-0.605739\pi\) |
0.655625 | + | 0.755087i | \(0.272405\pi\) | |||||||
\(444\) | 7.48965 | + | 4.90166i | 0.355443 | + | 0.232623i | ||||
\(445\) | −1.96337 | + | 3.40067i | −0.0930729 | + | 0.161207i | ||||
\(446\) | −8.51860 | + | 14.7546i | −0.403367 | + | 0.698653i | ||||
\(447\) | −2.68622 | + | 4.10449i | −0.127054 | + | 0.194136i | ||||
\(448\) | 0.624224 | − | 2.57106i | 0.0294918 | − | 0.121471i | ||||
\(449\) | 14.5183i | 0.685163i | 0.939488 | + | 0.342581i | \(0.111301\pi\) | ||||
−0.939488 | + | 0.342581i | \(0.888699\pi\) | |||||||
\(450\) | −11.7480 | − | 8.66329i | −0.553804 | − | 0.408391i | ||||
\(451\) | − | 2.89108i | − | 0.136135i | ||||||
\(452\) | 3.60226 | − | 2.07976i | 0.169436 | − | 0.0978239i | ||||
\(453\) | 25.5899 | − | 12.9247i | 1.20232 | − | 0.607254i | ||||
\(454\) | −4.42560 | − | 2.55512i | −0.207704 | − | 0.119918i | ||||
\(455\) | 0.273519 | + | 0.932144i | 0.0128228 | + | 0.0436996i | ||||
\(456\) | 0.615242 | − | 10.9938i | 0.0288114 | − | 0.514833i | ||||
\(457\) | −4.97751 | − | 8.62130i | −0.232838 | − | 0.403287i | 0.725804 | − | 0.687901i | \(-0.241468\pi\) |
−0.958642 | + | 0.284614i | \(0.908135\pi\) | |||||||
\(458\) | 15.2669 | 0.713375 | ||||||||
\(459\) | −4.32741 | + | 25.5602i | −0.201986 | + | 1.19305i | ||||
\(460\) | 2.82082i | 0.131521i | ||||||||
\(461\) | 16.1635 | + | 27.9960i | 0.752810 | + | 1.30391i | 0.946456 | + | 0.322834i | \(0.104636\pi\) |
−0.193645 | + | 0.981072i | \(0.562031\pi\) | |||||||
\(462\) | 2.23817 | − | 2.09812i | 0.104129 | − | 0.0976135i | ||||
\(463\) | −4.72516 | + | 8.18421i | −0.219597 | + | 0.380353i | −0.954685 | − | 0.297619i | \(-0.903807\pi\) |
0.735088 | + | 0.677972i | \(0.237141\pi\) | |||||||
\(464\) | −1.58394 | − | 0.914490i | −0.0735327 | − | 0.0424541i | ||||
\(465\) | 1.81086 | + | 3.58536i | 0.0839765 | + | 0.166267i | ||||
\(466\) | 5.09651 | + | 8.82741i | 0.236091 | + | 0.408922i | ||||
\(467\) | −20.6623 | −0.956138 | −0.478069 | − | 0.878322i | \(-0.658663\pi\) | ||||
−0.478069 | + | 0.878322i | \(0.658663\pi\) | |||||||
\(468\) | −2.75352 | + | 1.20263i | −0.127281 | + | 0.0555916i | ||||
\(469\) | 20.8502 | + | 19.8878i | 0.962773 | + | 0.918335i | ||||
\(470\) | −2.64432 | + | 1.52670i | −0.121973 | + | 0.0704214i | ||||
\(471\) | −2.68853 | + | 4.10803i | −0.123881 | + | 0.189288i | ||||
\(472\) | 7.55776 | + | 4.36348i | 0.347874 | + | 0.200845i | ||||
\(473\) | 2.60803 | + | 1.50575i | 0.119917 | + | 0.0692343i | ||||
\(474\) | −7.92524 | + | 12.1096i | −0.364018 | + | 0.556213i | ||||
\(475\) | −26.7877 | + | 15.4659i | −1.22910 | + | 0.709623i | ||||
\(476\) | 9.55151 | + | 9.11064i | 0.437793 | + | 0.417586i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −19.1815 | −0.877343 | ||||||||
\(479\) | 5.08042 | + | 8.79955i | 0.232131 | + | 0.402062i | 0.958435 | − | 0.285311i | \(-0.0920970\pi\) |
−0.726304 | + | 0.687373i | \(0.758764\pi\) | |||||||
\(480\) | 0.286262 | + | 0.566778i | 0.0130660 | + | 0.0258697i | ||||
\(481\) | −4.48252 | − | 2.58799i | −0.204386 | − | 0.118002i | ||||
\(482\) | −10.3426 | + | 17.9140i | −0.471094 | + | 0.815958i | ||||
\(483\) | −24.1155 | − | 25.7251i | −1.09729 | − | 1.17053i | ||||
\(484\) | 5.27592 | + | 9.13815i | 0.239814 | + | 0.415371i | ||||
\(485\) | − | 6.31126i | − | 0.286579i | ||||||
\(486\) | −3.76713 | − | 15.1264i | −0.170881 | − | 0.686149i | ||||
\(487\) | −31.2296 | −1.41515 | −0.707575 | − | 0.706638i | \(-0.750211\pi\) | ||||
−0.707575 | + | 0.706638i | \(0.750211\pi\) | |||||||
\(488\) | −2.47886 | − | 4.29351i | −0.112213 | − | 0.194358i | ||||
\(489\) | 2.39315 | − | 42.7634i | 0.108222 | − | 1.93383i | ||||
\(490\) | −1.17672 | + | 2.28049i | −0.0531587 | + | 0.103022i | ||||
\(491\) | 17.8314 | + | 10.2950i | 0.804720 | + | 0.464605i | 0.845119 | − | 0.534578i | \(-0.179529\pi\) |
−0.0403987 | + | 0.999184i | \(0.512863\pi\) | |||||||
\(492\) | −6.67669 | + | 3.37219i | −0.301009 | + | 0.152030i | ||||
\(493\) | 7.90239 | − | 4.56245i | 0.355906 | − | 0.205482i | ||||
\(494\) | 6.36717i | 0.286473i | ||||||||
\(495\) | −0.0821487 | + | 0.731664i | −0.00369231 | + | 0.0328858i | ||||
\(496\) | 6.32588i | 0.284040i | ||||||||
\(497\) | −14.1368 | − | 3.43226i | −0.634122 | − | 0.153958i | ||||
\(498\) | −16.1378 | + | 24.6582i | −0.723150 | + | 1.10496i | ||||
\(499\) | 12.5766 | − | 21.7834i | 0.563007 | − | 0.975157i | −0.434225 | − | 0.900805i | \(-0.642978\pi\) |
0.997232 | − | 0.0743527i | \(-0.0236891\pi\) | |||||||
\(500\) | 1.80836 | − | 3.13216i | 0.0808722 | − | 0.140075i | ||||
\(501\) | −28.0411 | − | 18.3517i | −1.25278 | − | 0.819894i | ||||
\(502\) | 1.56924 | − | 0.906002i | 0.0700387 | − | 0.0404369i | ||||
\(503\) | 31.1553 | 1.38915 | 0.694574 | − | 0.719421i | \(-0.255593\pi\) | ||||
0.694574 | + | 0.719421i | \(0.255593\pi\) | |||||||
\(504\) | −7.45607 | − | 2.72158i | −0.332120 | − | 0.121229i | ||||
\(505\) | 5.76722 | 0.256638 | ||||||||
\(506\) | −4.46104 | + | 2.57558i | −0.198317 | + | 0.114499i | ||||
\(507\) | −18.5477 | + | 9.36787i | −0.823733 | + | 0.416042i | ||||
\(508\) | −0.834727 | + | 1.44579i | −0.0370350 | + | 0.0641465i | ||||
\(509\) | 2.41674 | − | 4.18591i | 0.107120 | − | 0.185537i | −0.807482 | − | 0.589892i | \(-0.799170\pi\) |
0.914602 | + | 0.404354i | \(0.132504\pi\) | |||||||
\(510\) | −3.16294 | − | 0.177006i | −0.140057 | − | 0.00783796i | ||||
\(511\) | 10.4723 | + | 2.54255i | 0.463267 | + | 0.112476i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | −32.5696 | − | 5.51413i | −1.43798 | − | 0.243455i | ||||
\(514\) | 6.45545i | 0.284738i | ||||||||
\(515\) | 3.63344 | − | 2.09777i | 0.160109 | − | 0.0924387i | ||||
\(516\) | 0.435352 | − | 7.77934i | 0.0191653 | − | 0.342467i | ||||
\(517\) | −4.82886 | − | 2.78794i | −0.212373 | − | 0.122613i | ||||
\(518\) | −3.84974 | − | 13.1198i | −0.169148 | − | 0.576451i | ||||
\(519\) | 7.47751 | − | 3.77666i | 0.328226 | − | 0.165777i | ||||
\(520\) | −0.183586 | − | 0.317980i | −0.00805077 | − | 0.0139443i | ||||
\(521\) | −17.5322 | −0.768101 | −0.384050 | − | 0.923312i | \(-0.625471\pi\) | ||||
−0.384050 | + | 0.923312i | \(0.625471\pi\) | |||||||
\(522\) | −3.25653 | + | 4.41606i | −0.142534 | + | 0.193286i | ||||
\(523\) | 19.1019i | 0.835267i | 0.908616 | + | 0.417633i | \(0.137140\pi\) | ||||
−0.908616 | + | 0.417633i | \(0.862860\pi\) | |||||||
\(524\) | 6.76607 | + | 11.7192i | 0.295577 | + | 0.511955i | ||||
\(525\) | 5.07267 | + | 21.7123i | 0.221390 | + | 0.947603i | ||||
\(526\) | −4.41031 | + | 7.63888i | −0.192299 | + | 0.333071i | ||||
\(527\) | −27.3319 | − | 15.7801i | −1.19060 | − | 0.687392i | ||||
\(528\) | −0.634967 | + | 0.970217i | −0.0276334 | + | 0.0422233i | ||||
\(529\) | 18.1033 | + | 31.3559i | 0.787101 | + | 1.36330i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 15.5385 | − | 21.0711i | 0.674312 | − | 0.914410i | ||||
\(532\) | −11.6091 | + | 12.1708i | −0.503317 | + | 0.527673i | ||||
\(533\) | 3.74584 | − | 2.16266i | 0.162250 | − | 0.0936752i | ||||
\(534\) | 8.36404 | + | 16.5602i | 0.361947 | + | 0.716630i | ||||
\(535\) | 3.51192 | + | 2.02761i | 0.151834 | + | 0.0876612i | ||||
\(536\) | −9.43166 | − | 5.44537i | −0.407386 | − | 0.235204i | ||||
\(537\) | 6.32588 | + | 0.354012i | 0.272982 | + | 0.0152767i | ||||
\(538\) | −12.3541 | + | 7.13267i | −0.532625 | + | 0.307511i | ||||
\(539\) | −4.68095 | + | 0.221286i | −0.201623 | + | 0.00953144i | ||||
\(540\) | 1.78554 | − | 0.663707i | 0.0768372 | − | 0.0285614i | ||||
\(541\) | 13.6642 | 0.587471 | 0.293735 | − | 0.955887i | \(-0.405102\pi\) | ||||
0.293735 | + | 0.955887i | \(0.405102\pi\) | |||||||
\(542\) | −1.52641 | − | 2.64381i | −0.0655648 | − | 0.113562i | ||||
\(543\) | −9.80186 | − | 0.548537i | −0.420638 | − | 0.0235400i | ||||
\(544\) | −4.32065 | − | 2.49453i | −0.185247 | − | 0.106952i | ||||
\(545\) | −1.93625 | + | 3.35368i | −0.0829397 | + | 0.143656i | ||||
\(546\) | 4.39270 | + | 1.33040i | 0.187990 | + | 0.0569359i | ||||
\(547\) | 4.94380 | + | 8.56292i | 0.211382 | + | 0.366124i | 0.952147 | − | 0.305640i | \(-0.0988703\pi\) |
−0.740765 | + | 0.671764i | \(0.765537\pi\) | |||||||
\(548\) | − | 8.98851i | − | 0.383970i | ||||||
\(549\) | −13.6298 | + | 5.95299i | −0.581707 | + | 0.254067i | ||||
\(550\) | 3.25730 | 0.138892 | ||||||||
\(551\) | 5.81362 | + | 10.0695i | 0.247669 | + | 0.428975i | ||||
\(552\) | 11.1515 | + | 7.29820i | 0.474640 | + | 0.310632i | ||||
\(553\) | 21.2127 | − | 6.22444i | 0.902055 | − | 0.264690i | ||||
\(554\) | −1.09609 | − | 0.632828i | −0.0465684 | − | 0.0268863i | ||||
\(555\) | 2.74569 | + | 1.79694i | 0.116548 | + | 0.0762759i | ||||
\(556\) | 8.05336 | − | 4.64961i | 0.341539 | − | 0.197187i | ||||
\(557\) | − | 12.5800i | − | 0.533034i | −0.963830 | − | 0.266517i | \(-0.914127\pi\) | ||
0.963830 | − | 0.266517i | \(-0.0858728\pi\) | |||||||
\(558\) | 18.8591 | + | 2.11744i | 0.798371 | + | 0.0896384i | ||||
\(559\) | 4.50547i | 0.190561i | ||||||||
\(560\) | 0.228839 | − | 0.942545i | 0.00967023 | − | 0.0398298i | ||||
\(561\) | −2.60803 | − | 5.16371i | −0.110111 | − | 0.218012i | ||||
\(562\) | 5.26335 | − | 9.11639i | 0.222021 | − | 0.384552i | ||||
\(563\) | −12.1666 | + | 21.0732i | −0.512763 | + | 0.888132i | 0.487127 | + | 0.873331i | \(0.338045\pi\) |
−0.999890 | + | 0.0148007i | \(0.995289\pi\) | |||||||
\(564\) | −0.806068 | + | 14.4037i | −0.0339416 | + | 0.606506i | ||||
\(565\) | 1.32058 | − | 0.762437i | 0.0555572 | − | 0.0320760i | ||||
\(566\) | 19.8718 | 0.835272 | ||||||||
\(567\) | −10.6095 | + | 21.3176i | −0.445557 | + | 0.895253i | ||||
\(568\) | 5.49843 | 0.230709 | ||||||||
\(569\) | −8.18746 | + | 4.72703i | −0.343236 | + | 0.198167i | −0.661702 | − | 0.749767i | \(-0.730166\pi\) |
0.318466 | + | 0.947934i | \(0.396832\pi\) | |||||||
\(570\) | 0.225547 | − | 4.03032i | 0.00944711 | − | 0.168811i | ||||
\(571\) | 15.7843 | − | 27.3392i | 0.660551 | − | 1.14411i | −0.319920 | − | 0.947445i | \(-0.603656\pi\) |
0.980471 | − | 0.196664i | \(-0.0630108\pi\) | |||||||
\(572\) | 0.335250 | − | 0.580671i | 0.0140175 | − | 0.0242791i | ||||
\(573\) | −21.3781 | − | 42.3272i | −0.893084 | − | 1.76824i | ||||
\(574\) | 11.1033 | + | 2.69575i | 0.463442 | + | 0.112518i | ||||
\(575\) | − | 37.4388i | − | 1.56131i | ||||||
\(576\) | 2.98127 | + | 0.334727i | 0.124219 | + | 0.0139469i | ||||
\(577\) | 33.5794i | 1.39793i | 0.715157 | + | 0.698964i | \(0.246355\pi\) | ||||
−0.715157 | + | 0.698964i | \(0.753645\pi\) | |||||||
\(578\) | 6.83358 | − | 3.94537i | 0.284239 | − | 0.164106i | ||||
\(579\) | −14.5336 | − | 9.51166i | −0.603997 | − | 0.395291i | ||||
\(580\) | −0.580671 | − | 0.335250i | −0.0241110 | − | 0.0139205i | ||||
\(581\) | 43.1943 | − | 12.6745i | 1.79200 | − | 0.525828i | ||||
\(582\) | −24.9502 | − | 16.3289i | −1.03422 | − | 0.676853i | ||||
\(583\) | 0 | 0 | ||||||||
\(584\) | −4.07314 | −0.168548 | ||||||||
\(585\) | −1.00943 | + | 0.440882i | −0.0417350 | + | 0.0182282i | ||||
\(586\) | 13.4121i | 0.554049i | ||||||||
\(587\) | 9.65855 | + | 16.7291i | 0.398651 | + | 0.690484i | 0.993560 | − | 0.113310i | \(-0.0361452\pi\) |
−0.594909 | + | 0.803793i | \(0.702812\pi\) | |||||||
\(588\) | 5.97096 | + | 10.5521i | 0.246238 | + | 0.435163i | ||||
\(589\) | 20.1075 | − | 34.8272i | 0.828516 | − | 1.43503i | ||||
\(590\) | 2.77066 | + | 1.59964i | 0.114066 | + | 0.0658562i | ||||
\(591\) | −32.5564 | − | 1.82194i | −1.33919 | − | 0.0749445i | ||||
\(592\) | 2.58394 | + | 4.47552i | 0.106199 | + | 0.183943i | ||||
\(593\) | −0.733196 | −0.0301088 | −0.0150544 | − | 0.999887i | \(-0.504792\pi\) | ||||
−0.0150544 | + | 0.999887i | \(0.504792\pi\) | |||||||
\(594\) | 2.67994 | + | 2.21776i | 0.109959 | + | 0.0909959i | ||||
\(595\) | 3.50157 | + | 3.33994i | 0.143550 | + | 0.136924i | ||||
\(596\) | −2.45268 | + | 1.41606i | −0.100466 | + | 0.0580039i | ||||
\(597\) | 9.27631 | + | 0.519125i | 0.379654 | + | 0.0212464i | ||||
\(598\) | −6.67413 | − | 3.85331i | −0.272926 | − | 0.157574i | ||||
\(599\) | 26.6548 | + | 15.3892i | 1.08909 | + | 0.628785i | 0.933333 | − | 0.359011i | \(-0.116886\pi\) |
0.155754 | + | 0.987796i | \(0.450219\pi\) | |||||||
\(600\) | −3.79936 | − | 7.52245i | −0.155108 | − | 0.307103i | ||||
\(601\) | 0.786931 | − | 0.454335i | 0.0320996 | − | 0.0185327i | −0.483864 | − | 0.875143i | \(-0.660767\pi\) |
0.515964 | + | 0.856610i | \(0.327434\pi\) | |||||||
\(602\) | −8.21470 | + | 8.61221i | −0.334806 | + | 0.351007i | ||||
\(603\) | −19.3911 | + | 26.2956i | −0.789668 | + | 1.07084i | ||||
\(604\) | 16.5518 | 0.673484 | ||||||||
\(605\) | 1.93414 | + | 3.35003i | 0.0786340 | + | 0.136198i | ||||
\(606\) | 14.9213 | − | 22.7995i | 0.606137 | − | 0.926166i | ||||
\(607\) | −38.7783 | − | 22.3887i | −1.57396 | − | 0.908728i | −0.995676 | − | 0.0928949i | \(-0.970388\pi\) |
−0.578287 | − | 0.815833i | \(-0.696279\pi\) | |||||||
\(608\) | 3.17861 | − | 5.50552i | 0.128910 | − | 0.223278i | ||||
\(609\) | 8.16166 | − | 1.90682i | 0.330727 | − | 0.0772682i | ||||
\(610\) | −0.908744 | − | 1.57399i | −0.0367940 | − | 0.0637290i | ||||
\(611\) | − | 8.34204i | − | 0.337483i | ||||||
\(612\) | −8.88310 | + | 12.0460i | −0.359078 | + | 0.486932i | ||||
\(613\) | 18.1480 | 0.732992 | 0.366496 | − | 0.930420i | \(-0.380557\pi\) | ||||
0.366496 | + | 0.930420i | \(0.380557\pi\) | |||||||
\(614\) | −0.326864 | − | 0.566145i | −0.0131912 | − | 0.0228478i | ||||
\(615\) | −2.44766 | + | 1.23624i | −0.0986993 | + | 0.0498500i | ||||
\(616\) | 1.69955 | − | 0.498700i | 0.0684769 | − | 0.0200932i | ||||
\(617\) | −19.7393 | − | 11.3965i | −0.794674 | − | 0.458805i | 0.0469315 | − | 0.998898i | \(-0.485056\pi\) |
−0.841605 | + | 0.540093i | \(0.818389\pi\) | |||||||
\(618\) | 1.10758 | − | 19.7915i | 0.0445535 | − | 0.796132i | ||||
\(619\) | 38.4228 | − | 22.1834i | 1.54434 | − | 0.891626i | 0.545785 | − | 0.837925i | \(-0.316232\pi\) |
0.998557 | − | 0.0537011i | \(-0.0171018\pi\) | |||||||
\(620\) | 2.31905i | 0.0931355i | ||||||||
\(621\) | 25.4906 | − | 30.8027i | 1.02290 | − | 1.23607i | ||||
\(622\) | 9.24493i | 0.370688i | ||||||||
\(623\) | 6.68626 | − | 27.5394i | 0.267880 | − | 1.10334i | ||||
\(624\) | −1.73205 | − | 0.0969299i | −0.0693375 | − | 0.00388030i | ||||
\(625\) | −11.5011 | + | 19.9204i | −0.460043 | + | 0.796818i | ||||
\(626\) | 3.08207 | − | 5.33830i | 0.123184 | − | 0.213361i | ||||
\(627\) | 6.57976 | − | 3.32323i | 0.262770 | − | 0.132717i | ||||
\(628\) | −2.45480 | + | 1.41728i | −0.0979571 | + | 0.0565555i | ||||
\(629\) | −25.7829 | −1.02803 | ||||||||
\(630\) | −2.73338 | − | 0.997727i | −0.108901 | − | 0.0397504i | ||||
\(631\) | −32.5707 | −1.29662 | −0.648310 | − | 0.761377i | \(-0.724524\pi\) | ||||
−0.648310 | + | 0.761377i | \(0.724524\pi\) | |||||||
\(632\) | −7.23623 | + | 4.17784i | −0.287842 | + | 0.166186i | ||||
\(633\) | 2.40283 | + | 1.57255i | 0.0955039 | + | 0.0625033i | ||||
\(634\) | −10.3274 | + | 17.8876i | −0.410154 | + | 0.710408i | ||||
\(635\) | −0.306009 | + | 0.530024i | −0.0121436 | + | 0.0210333i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −3.78828 | − | 5.89936i | −0.150097 | − | 0.233741i | ||||
\(638\) | − | 1.22442i | − | 0.0484751i | ||||||
\(639\) | 1.84047 | − | 16.3923i | 0.0728080 | − | 0.648470i | ||||
\(640\) | 0.366598i | 0.0144911i | ||||||||
\(641\) | −10.2270 | + | 5.90456i | −0.403942 | + | 0.233216i | −0.688184 | − | 0.725537i | \(-0.741592\pi\) |
0.284241 | + | 0.958753i | \(0.408258\pi\) | |||||||
\(642\) | 17.1020 | − | 8.63768i | 0.674962 | − | 0.340902i | ||||
\(643\) | −25.3714 | − | 14.6482i | −1.00055 | − | 0.577668i | −0.0921392 | − | 0.995746i | \(-0.529370\pi\) |
−0.908411 | + | 0.418078i | \(0.862704\pi\) | |||||||
\(644\) | −5.73197 | − | 19.5344i | −0.225871 | − | 0.769762i | ||||
\(645\) | 0.159599 | − | 2.85189i | 0.00628421 | − | 0.112293i | ||||
\(646\) | 15.8583 | + | 27.4674i | 0.623936 | + | 1.08069i | ||||
\(647\) | 28.1683 | 1.10741 | 0.553705 | − | 0.832713i | \(-0.313214\pi\) | ||||
0.553705 | + | 0.832713i | \(0.313214\pi\) | |||||||
\(648\) | 1.99582 | − | 8.77592i | 0.0784032 | − | 0.344751i | ||||
\(649\) | 5.84229i | 0.229330i | ||||||||
\(650\) | 2.43661 | + | 4.22033i | 0.0955717 | + | 0.165535i | ||||
\(651\) | −19.8258 | − | 21.1492i | −0.777036 | − | 0.828901i | ||||
\(652\) | 12.3640 | − | 21.4151i | 0.484213 | − | 0.838682i | ||||
\(653\) | 39.0555 | + | 22.5487i | 1.52836 | + | 0.882399i | 0.999431 | + | 0.0337326i | \(0.0107394\pi\) |
0.528929 | + | 0.848666i | \(0.322594\pi\) | |||||||
\(654\) | 8.24848 | + | 16.3314i | 0.322541 | + | 0.638608i | ||||
\(655\) | 2.48043 | + | 4.29623i | 0.0969184 | + | 0.167868i | ||||
\(656\) | −4.31856 | −0.168611 | ||||||||
\(657\) | −1.36339 | + | 12.1431i | −0.0531909 | + | 0.473748i | ||||
\(658\) | 15.2098 | − | 15.9458i | 0.592939 | − | 0.621632i | ||||
\(659\) | 27.5435 | − | 15.9022i | 1.07294 | − | 0.619463i | 0.143958 | − | 0.989584i | \(-0.454017\pi\) |
0.928984 | + | 0.370121i | \(0.120684\pi\) | |||||||
\(660\) | −0.232778 | + | 0.355680i | −0.00906085 | + | 0.0138448i | ||||
\(661\) | −17.1234 | − | 9.88619i | −0.666022 | − | 0.384528i | 0.128546 | − | 0.991704i | \(-0.458969\pi\) |
−0.794568 | + | 0.607175i | \(0.792302\pi\) | |||||||
\(662\) | −9.27631 | − | 5.35568i | −0.360534 | − | 0.208154i | ||||
\(663\) | 4.73945 | − | 7.24180i | 0.184065 | − | 0.281248i | ||||
\(664\) | −14.7348 | + | 8.50712i | −0.571820 | + | 0.330140i | ||||
\(665\) | −4.25587 | + | 4.46181i | −0.165035 | + | 0.173022i | ||||
\(666\) | 14.2076 | − | 6.20535i | 0.550535 | − | 0.240452i | ||||
\(667\) | −14.0733 | −0.544918 | ||||||||
\(668\) | −9.67422 | − | 16.7562i | −0.374307 | − | 0.648318i | ||||
\(669\) | 13.3037 | + | 26.3403i | 0.514349 | + | 1.01837i | ||||
\(670\) | −3.45763 | − | 1.99626i | −0.133580 | − | 0.0771223i | ||||
\(671\) | 1.65948 | − | 2.87430i | 0.0640635 | − | 0.110961i | ||||
\(672\) | −3.13408 | − | 3.34328i | −0.120900 | − | 0.128970i | ||||
\(673\) | −0.945369 | − | 1.63743i | −0.0364413 | − | 0.0631182i | 0.847230 | − | 0.531227i | \(-0.178269\pi\) |
−0.883671 | + | 0.468109i | \(0.844936\pi\) | |||||||
\(674\) | − | 7.55183i | − | 0.290886i | ||||||
\(675\) | −23.6982 | + | 8.80893i | −0.912144 | + | 0.339056i | ||||
\(676\) | −11.9969 | −0.461418 | ||||||||
\(677\) | −10.5661 | − | 18.3010i | −0.406088 | − | 0.703364i | 0.588360 | − | 0.808599i | \(-0.299774\pi\) |
−0.994447 | + | 0.105235i | \(0.966441\pi\) | |||||||
\(678\) | 0.402553 | − | 7.19326i | 0.0154599 | − | 0.276255i | ||||
\(679\) | 12.8246 | + | 43.7058i | 0.492164 | + | 1.67728i | ||||
\(680\) | −1.58394 | − | 0.914490i | −0.0607415 | − | 0.0350691i | ||||
\(681\) | −7.90067 | + | 3.99038i | −0.302754 | + | 0.152912i | ||||
\(682\) | −3.66751 | + | 2.11744i | −0.140436 | + | 0.0810810i | ||||
\(683\) | − | 8.71972i | − | 0.333651i | −0.985986 | − | 0.166825i | \(-0.946648\pi\) | ||
0.985986 | − | 0.166825i | \(-0.0533516\pi\) | |||||||
\(684\) | −15.3495 | − | 11.3191i | −0.586901 | − | 0.432798i | ||||
\(685\) | − | 3.29517i | − | 0.125902i | ||||||
\(686\) | 3.51484 | − | 18.1837i | 0.134197 | − | 0.694256i | ||||
\(687\) | 14.4804 | − | 22.1258i | 0.552463 | − | 0.844153i | ||||
\(688\) | 2.24922 | − | 3.89576i | 0.0857506 | − | 0.148524i | ||||
\(689\) | 0 | 0 | ||||||||
\(690\) | 4.08812 | + | 2.67551i | 0.155632 | + | 0.101855i | ||||
\(691\) | 15.7071 | − | 9.06850i | 0.597526 | − | 0.344982i | −0.170542 | − | 0.985350i | \(-0.554552\pi\) |
0.768068 | + | 0.640369i | \(0.221218\pi\) | |||||||
\(692\) | 4.83654 | 0.183858 | ||||||||
\(693\) | −0.917872 | − | 5.23374i | −0.0348671 | − | 0.198814i | ||||
\(694\) | −10.9320 | −0.414972 | ||||||||
\(695\) | 2.95235 | − | 1.70454i | 0.111989 | − | 0.0646568i | ||||
\(696\) | −2.82769 | + | 1.42818i | −0.107183 | + | 0.0541349i | ||||
\(697\) | 10.7728 | − | 18.6590i | 0.408048 | − | 0.706760i | ||||
\(698\) | −0.592145 | + | 1.02562i | −0.0224130 | + | 0.0388205i | ||||
\(699\) | 17.6272 | + | 0.986465i | 0.666724 | + | 0.0373115i | ||||
\(700\) | −3.03723 | + | 12.5098i | −0.114796 | + | 0.472824i | ||||
\(701\) | 35.6167i | 1.34523i | 0.739995 | + | 0.672613i | \(0.234828\pi\) | ||||
−0.739995 | + | 0.672613i | \(0.765172\pi\) | |||||||
\(702\) | −0.868738 | + | 5.13126i | −0.0327884 | + | 0.193667i | ||||
\(703\) | − | 32.8534i | − | 1.23909i | ||||||
\(704\) | −0.579764 | + | 0.334727i | −0.0218507 | + | 0.0126155i | ||||
\(705\) | −0.295503 | + | 5.28038i | −0.0111293 | + | 0.198871i | ||||
\(706\) | −29.0832 | − | 16.7912i | −1.09456 | − | 0.631946i | ||||
\(707\) | −39.9384 | + | 11.7191i | −1.50204 | + | 0.440743i | ||||
\(708\) | 13.4923 | − | 6.81453i | 0.507071 | − | 0.256106i | ||||
\(709\) | 1.80385 | + | 3.12436i | 0.0677449 | + | 0.117338i | 0.897908 | − | 0.440183i | \(-0.145086\pi\) |
−0.830163 | + | 0.557520i | \(0.811753\pi\) | |||||||
\(710\) | 2.01572 | 0.0756485 | ||||||||
\(711\) | 10.0331 | + | 22.9716i | 0.376271 | + | 0.861501i | ||||
\(712\) | 10.7113i | 0.401424i | ||||||||
\(713\) | 24.3375 | + | 42.1538i | 0.911447 | + | 1.57867i | ||||
\(714\) | 22.2632 | − | 5.20138i | 0.833180 | − | 0.194657i | ||||
\(715\) | 0.122902 | − | 0.212873i | 0.00459628 | − | 0.00796099i | ||||
\(716\) | 3.16789 | + | 1.82898i | 0.118390 | + | 0.0683522i | ||||
\(717\) | −18.1934 | + | 27.7992i | −0.679445 | + | 1.03818i | ||||
\(718\) | −5.06407 | − | 8.77122i | −0.188989 | − | 0.327339i | ||||
\(719\) | 25.7829 | 0.961540 | 0.480770 | − | 0.876847i | \(-0.340357\pi\) | ||||
0.480770 | + | 0.876847i | \(0.340357\pi\) | |||||||
\(720\) | 1.09293 | + | 0.122710i | 0.0407310 | + | 0.00457314i | ||||
\(721\) | −20.8991 | + | 21.9104i | −0.778323 | + | 0.815987i | ||||
\(722\) | −18.5453 | + | 10.7072i | −0.690186 | + | 0.398479i | ||||
\(723\) | 16.1523 | + | 31.9804i | 0.600710 | + | 1.18936i | ||||
\(724\) | −4.90860 | − | 2.83398i | −0.182427 | − | 0.105324i | ||||
\(725\) | 7.70685 | + | 4.44955i | 0.286225 | + | 0.165252i | ||||
\(726\) | 18.2478 | + | 1.02119i | 0.677238 | + | 0.0378999i | ||||
\(727\) | −1.32423 | + | 0.764544i | −0.0491129 | + | 0.0283554i | −0.524355 | − | 0.851499i | \(-0.675694\pi\) |
0.475242 | + | 0.879855i | \(0.342360\pi\) | |||||||
\(728\) | 1.91749 | + | 1.82898i | 0.0710668 | + | 0.0677865i | ||||
\(729\) | −25.4953 | − | 8.88761i | −0.944270 | − | 0.329171i | ||||
\(730\) | −1.49321 | −0.0552660 | ||||||||
\(731\) | 11.2215 | + | 19.4362i | 0.415042 | + | 0.718873i | ||||
\(732\) | −8.57360 | − | 0.479800i | −0.316889 | − | 0.0177339i | ||||
\(733\) | 17.9908 | + | 10.3870i | 0.664504 | + | 0.383651i | 0.793991 | − | 0.607930i | \(-0.208000\pi\) |
−0.129487 | + | 0.991581i | \(0.541333\pi\) | |||||||
\(734\) | 9.00104 | − | 15.5903i | 0.332234 | − | 0.575447i | ||||
\(735\) | 2.18894 | + | 3.86839i | 0.0807404 | + | 0.142688i | ||||
\(736\) | 3.84729 | + | 6.66371i | 0.141813 | + | 0.245628i | ||||
\(737\) | − | 7.29084i | − | 0.268562i | ||||||
\(738\) | −1.44554 | + | 12.8748i | −0.0532110 | + | 0.473927i | ||||
\(739\) | −11.8709 | −0.436678 | −0.218339 | − | 0.975873i | \(-0.570064\pi\) | ||||
−0.218339 | + | 0.975873i | \(0.570064\pi\) | |||||||
\(740\) | 0.947269 | + | 1.64072i | 0.0348223 | + | 0.0603140i | ||||
\(741\) | 9.22773 | + | 6.03917i | 0.338989 | + | 0.221854i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −37.5906 | − | 21.7029i | −1.37907 | − | 0.796204i | −0.387019 | − | 0.922072i | \(-0.626495\pi\) |
−0.992047 | + | 0.125868i | \(0.959828\pi\) | |||||||
\(744\) | 9.16789 | + | 6.00000i | 0.336111 | + | 0.219971i | ||||
\(745\) | −0.899148 | + | 0.519124i | −0.0329422 | + | 0.0190192i | ||||
\(746\) | 16.4090i | 0.600777i | ||||||||
\(747\) | 20.4299 | + | 46.7759i | 0.747491 | + | 1.71144i | ||||
\(748\) | − | 3.33994i | − | 0.122120i | ||||||
\(749\) | −28.4404 | − | 6.90502i | −1.03919 | − | 0.252304i | ||||
\(750\) | −2.82415 | − | 5.59160i | −0.103123 | − | 0.204176i | ||||
\(751\) | −1.15691 | + | 2.00383i | −0.0422164 | + | 0.0731209i | −0.886362 | − | 0.462994i | \(-0.846775\pi\) |
0.844145 | + | 0.536115i | \(0.180109\pi\) | |||||||
\(752\) | −4.16450 | + | 7.21313i | −0.151864 | + | 0.263036i | ||||
\(753\) | 0.175363 | − | 3.13358i | 0.00639058 | − | 0.114194i | ||||
\(754\) | 1.58642 | − | 0.915921i | 0.0577741 | − | 0.0333559i | ||||
\(755\) | 6.06787 | 0.220832 | ||||||||
\(756\) | −11.0163 | + | 8.22446i | −0.400658 | + | 0.299121i | ||||
\(757\) | −15.0946 | −0.548624 | −0.274312 | − | 0.961641i | \(-0.588450\pi\) | ||||
−0.274312 | + | 0.961641i | \(0.588450\pi\) | |||||||
\(758\) | −2.52336 | + | 1.45686i | −0.0916525 | + | 0.0529156i | ||||
\(759\) | −0.498522 | + | 8.90814i | −0.0180952 | + | 0.323345i | ||||
\(760\) | 1.16527 | − | 2.01831i | 0.0422689 | − | 0.0732119i | ||||
\(761\) | −11.6690 | + | 20.2112i | −0.422999 | + | 0.732656i | −0.996231 | − | 0.0867370i | \(-0.972356\pi\) |
0.573232 | + | 0.819393i | \(0.305689\pi\) | |||||||
\(762\) | 1.30361 | + | 2.58105i | 0.0472248 | + | 0.0935016i | ||||
\(763\) | 6.59388 | − | 27.1589i | 0.238715 | − | 0.983219i | ||||
\(764\) | − | 27.3777i | − | 0.990490i | ||||||
\(765\) | −3.25653 | + | 4.41606i | −0.117740 | + | 0.159663i | ||||
\(766\) | − | 8.57443i | − | 0.309807i | ||||||
\(767\) | −7.56959 | + | 4.37030i | −0.273322 | + | 0.157803i | ||||
\(768\) | 1.44927 | + | 0.948485i | 0.0522959 | + | 0.0342255i | ||||
\(769\) | 15.8266 | + | 9.13748i | 0.570721 | + | 0.329506i | 0.757437 | − | 0.652908i | \(-0.226451\pi\) |
−0.186716 | + | 0.982414i | \(0.559784\pi\) | |||||||
\(770\) | 0.623052 | − | 0.182822i | 0.0224532 | − | 0.00658846i | ||||
\(771\) | 9.35568 | + | 6.12290i | 0.336937 | + | 0.220511i | ||||
\(772\) | −5.01413 | − | 8.68473i | −0.180463 | − | 0.312570i | ||||
\(773\) | 0.438507 | 0.0157720 | 0.00788600 | − | 0.999969i | \(-0.497490\pi\) | ||||
0.00788600 | + | 0.999969i | \(0.497490\pi\) | |||||||
\(774\) | −10.8614 | − | 8.00953i | −0.390406 | − | 0.287897i | ||||
\(775\) | − | 30.7792i | − | 1.10562i | ||||||
\(776\) | −8.60787 | − | 14.9093i | −0.309004 | − | 0.535211i | ||||
\(777\) | −22.6655 | − | 6.86462i | −0.813121 | − | 0.246267i | ||||
\(778\) | −17.7770 | + | 30.7906i | −0.637335 | + | 1.10390i | ||||
\(779\) | 23.7759 | + | 13.7270i | 0.851861 | + | 0.491822i | ||||
\(780\) | −0.634967 | − | 0.0355343i | −0.0227354 | − | 0.00127233i | ||||
\(781\) | 1.84047 | + | 3.18779i | 0.0658573 | + | 0.114068i | ||||
\(782\) | −38.3888 | −1.37278 | ||||||||
\(783\) | 3.31128 | + | 8.90814i | 0.118335 | + | 0.318351i | ||||
\(784\) | 0.330547 | + | 6.99219i | 0.0118052 | + | 0.249721i | ||||
\(785\) | −0.899924 | + | 0.519571i | −0.0321197 | + | 0.0185443i | ||||
\(786\) | 23.4017 | + | 1.30962i | 0.834712 | + | 0.0467126i | ||||
\(787\) | 33.1317 | + | 19.1286i | 1.18102 | + | 0.681861i | 0.956250 | − | 0.292551i | \(-0.0945040\pi\) |
0.224769 | + | 0.974412i | \(0.427837\pi\) | |||||||
\(788\) | −16.3037 | − | 9.41292i | −0.580794 | − | 0.335322i | ||||
\(789\) | 6.88767 | + | 13.6371i | 0.245207 | + | 0.485493i | ||||
\(790\) | −2.65279 | + | 1.53159i | −0.0943820 | + | 0.0544915i | ||||
\(791\) | −7.59581 | + | 7.96337i | −0.270076 | + | 0.283145i | ||||
\(792\) | 0.803848 | + | 1.84047i | 0.0285635 | + | 0.0653983i | ||||
\(793\) | 4.96547 | 0.176329 | ||||||||
\(794\) | 1.79017 | + | 3.10066i | 0.0635307 | + | 0.110038i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 4.64541 | + | 2.68203i | 0.164652 | + | 0.0950620i | ||||
\(797\) | −17.6613 | + | 30.5902i | −0.625594 | + | 1.08356i | 0.362832 | + | 0.931855i | \(0.381810\pi\) |
−0.988426 | + | 0.151706i | \(0.951523\pi\) | |||||||
\(798\) | 6.62777 | + | 28.3685i | 0.234621 | + | 1.00423i | ||||
\(799\) | −20.7770 | − | 35.9868i | −0.735036 | − | 1.27312i | ||||
\(800\) | − | 4.86561i | − | 0.172025i | ||||||
\(801\) | 31.9333 | + | 3.58536i | 1.12831 | + | 0.126683i | ||||
\(802\) | 0.190871 | 0.00673991 | ||||||||
\(803\) | −1.36339 | − | 2.36146i | −0.0481130 | − | 0.0833341i | ||||
\(804\) | −16.8376 | + | 8.50414i | −0.593816 | + | 0.299918i | ||||
\(805\) | −2.10133 | − | 7.16126i | −0.0740621 | − | 0.252401i | ||||
\(806\) | −5.48694 | − | 3.16789i | −0.193269 | − | 0.111584i | ||||
\(807\) | −1.38058 | + | 24.6697i | −0.0485986 | + | 0.868414i | ||||
\(808\) | 13.6241 | − | 7.86586i | 0.479293 | − | 0.276720i | ||||
\(809\) | 21.7669i | 0.765282i | 0.923897 | + | 0.382641i | \(0.124985\pi\) | ||||
−0.923897 | + | 0.382641i | \(0.875015\pi\) | |||||||
\(810\) | 0.731664 | − | 3.21723i | 0.0257080 | − | 0.113042i | ||||
\(811\) | 17.0184i | 0.597598i | 0.954316 | + | 0.298799i | \(0.0965860\pi\) | ||||
−0.954316 | + | 0.298799i | \(0.903414\pi\) | |||||||
\(812\) | 4.70242 | + | 1.14169i | 0.165022 | + | 0.0400656i | ||||
\(813\) | −5.27937 | − | 0.295447i | −0.185156 | − | 0.0103618i | ||||
\(814\) | −1.72983 | + | 2.99615i | −0.0606305 | + | 0.105015i | ||||
\(815\) | 4.53263 | − | 7.85075i | 0.158771 | − | 0.275000i | ||||
\(816\) | −7.71332 | + | 3.89576i | −0.270020 | + | 0.136379i | ||||
\(817\) | −24.7662 | + | 14.2988i | −0.866460 | + | 0.500251i | ||||
\(818\) | 3.47371 | 0.121455 | ||||||||
\(819\) | 6.09452 | − | 5.10433i | 0.212960 | − | 0.178360i | ||||
\(820\) | −1.58318 | −0.0552869 | ||||||||
\(821\) | −21.4786 | + | 12.4007i | −0.749608 | + | 0.432786i | −0.825552 | − | 0.564326i | \(-0.809136\pi\) |
0.0759445 | + | 0.997112i | \(0.475803\pi\) | |||||||
\(822\) | −13.0268 | − | 8.52547i | −0.454360 | − | 0.297360i | ||||
\(823\) | −10.6572 | + | 18.4588i | −0.371486 | + | 0.643433i | −0.989794 | − | 0.142503i | \(-0.954485\pi\) |
0.618308 | + | 0.785936i | \(0.287818\pi\) | |||||||
\(824\) | 5.72226 | − | 9.91124i | 0.199344 | − | 0.345274i | ||||
\(825\) | 3.08950 | − | 4.72069i | 0.107562 | − | 0.164353i | ||||
\(826\) | −22.4375 | − | 5.44757i | −0.780701 | − | 0.189545i | ||||
\(827\) | 49.7585i | 1.73027i | 0.501537 | + | 0.865136i | \(0.332768\pi\) | ||||
−0.501537 | + | 0.865136i | \(0.667232\pi\) | |||||||
\(828\) | 21.1541 | − | 9.23929i | 0.735155 | − | 0.321088i | ||||
\(829\) | − | 43.1190i | − | 1.49759i | −0.662804 | − | 0.748793i | \(-0.730634\pi\) | ||
0.662804 | − | 0.748793i | \(-0.269366\pi\) | |||||||
\(830\) | −5.40174 | + | 3.11870i | −0.187497 | + | 0.108252i | ||||
\(831\) | −1.95676 | + | 0.988300i | −0.0678794 | + | 0.0342838i | ||||
\(832\) | −0.867380 | − | 0.500782i | −0.0300710 | − | 0.0173615i | ||||
\(833\) | −31.0354 | − | 16.0141i | −1.07531 | − | 0.554854i | ||||
\(834\) | 0.899965 | − | 16.0816i | 0.0311632 | − | 0.556859i | ||||
\(835\) | −3.54655 | − | 6.14281i | −0.122733 | − | 0.212581i | ||||
\(836\) | 4.25587 | 0.147192 | ||||||||
\(837\) | 20.9563 | − | 25.3236i | 0.724357 | − | 0.875311i | ||||
\(838\) | 1.40791i | 0.0486354i | ||||||||
\(839\) | −14.9985 | − | 25.9782i | −0.517807 | − | 0.896868i | −0.999786 | − | 0.0206851i | \(-0.993415\pi\) |
0.481979 | − | 0.876183i | \(-0.339918\pi\) | |||||||
\(840\) | −1.14895 | − | 1.22564i | −0.0396425 | − | 0.0422886i | ||||
\(841\) | −12.8274 | + | 22.2177i | −0.442325 | + | 0.766129i | ||||
\(842\) | 26.3151 | + | 15.1930i | 0.906878 | + | 0.523586i | ||||
\(843\) | −8.21988 | − | 16.2748i | −0.283108 | − | 0.560532i | ||||
\(844\) | 0.828981 | + | 1.43584i | 0.0285347 | + | 0.0494235i | ||||
\(845\) | −4.39803 | −0.151297 | ||||||||
\(846\) | 20.1103 | + | 14.8299i | 0.691407 | + | 0.509863i | ||||
\(847\) | −20.2014 | − | 19.2689i | −0.694128 | − | 0.662089i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 18.8481 | − | 28.7995i | 0.646864 | − | 0.988396i | ||||
\(850\) | 21.0226 | + | 12.1374i | 0.721069 | + | 0.416310i | ||||
\(851\) | 34.4373 | + | 19.8824i | 1.18050 | + | 0.681559i | ||||
\(852\) | 5.21518 | − | 7.96870i | 0.178669 | − | 0.273003i | ||||
\(853\) | 25.7693 | − | 14.8779i | 0.882325 | − | 0.509411i | 0.0109007 | − | 0.999941i | \(-0.496530\pi\) |
0.871424 | + | 0.490530i | \(0.163197\pi\) | |||||||
\(854\) | 9.49150 | + | 9.05340i | 0.324792 | + | 0.309801i | ||||
\(855\) | −5.62708 | − | 4.14957i | −0.192442 | − | 0.141912i | ||||
\(856\) | 11.0618 | 0.378083 | ||||||||
\(857\) | −22.9296 | − | 39.7152i | −0.783260 | − | 1.35665i | −0.930033 | − | 0.367476i | \(-0.880222\pi\) |
0.146773 | − | 0.989170i | \(-0.453111\pi\) | |||||||
\(858\) | −0.523567 | − | 1.03663i | −0.0178743 | − | 0.0353898i | ||||
\(859\) | 3.24073 | + | 1.87104i | 0.110572 | + | 0.0638390i | 0.554266 | − | 0.832339i | \(-0.312999\pi\) |
−0.443694 | + | 0.896178i | \(0.646332\pi\) | |||||||
\(860\) | 0.824559 | − | 1.42818i | 0.0281172 | − | 0.0487005i | ||||
\(861\) | 14.4382 | − | 13.5347i | 0.492051 | − | 0.461263i | ||||
\(862\) | −13.6373 | − | 23.6206i | −0.464490 | − | 0.804520i | ||||
\(863\) | 31.3944i | 1.06868i | 0.845270 | + | 0.534339i | \(0.179439\pi\) | ||||
−0.845270 | + | 0.534339i | \(0.820561\pi\) | |||||||
\(864\) | 3.31280 | − | 4.00317i | 0.112704 | − | 0.136191i | ||||
\(865\) | 1.77307 | 0.0602860 | ||||||||
\(866\) | −4.07523 | − | 7.05851i | −0.138482 | − | 0.239858i | ||||
\(867\) | 0.763654 | − | 13.6458i | 0.0259350 | − | 0.463436i | ||||
\(868\) | −4.71237 | − | 16.0596i | −0.159948 | − | 0.545098i | ||||
\(869\) | −4.84432 | − | 2.79687i | −0.164332 | − | 0.0948773i | ||||
\(870\) | −1.03663 | + | 0.523567i | −0.0351449 | + | 0.0177506i | ||||
\(871\) | 9.44641 | − | 5.45389i | 0.320080 | − | 0.184798i | ||||
\(872\) | 10.5633i | 0.357719i | ||||||||
\(873\) | −47.3298 | + | 20.6718i | −1.60187 | + | 0.699635i | ||||
\(874\) | − | 48.9162i | − | 1.65462i | ||||||
\(875\) | −2.25764 | + | 9.29878i | −0.0763221 | + | 0.314356i | ||||
\(876\) | −3.86331 | + | 5.90307i | −0.130529 | + | 0.199446i | ||||
\(877\) | 10.1962 | − | 17.6603i | 0.344300 | − | 0.596344i | −0.640927 | − | 0.767602i | \(-0.721450\pi\) |
0.985226 | + | 0.171258i | \(0.0547831\pi\) | |||||||
\(878\) | −6.12020 | + | 10.6005i | −0.206547 | + | 0.357750i | ||||
\(879\) | 19.4377 | + | 12.7212i | 0.655619 | + | 0.429075i | ||||
\(880\) | −0.212540 | + | 0.122710i | −0.00716473 | + | 0.00413656i | ||||
\(881\) | −21.2010 | −0.714280 | −0.357140 | − | 0.934051i | \(-0.616248\pi\) | ||||
−0.357140 | + | 0.934051i | \(0.616248\pi\) | |||||||
\(882\) | 20.9562 | + | 1.35503i | 0.705633 | + | 0.0456261i | ||||
\(883\) | 38.6157 | 1.29952 | 0.649761 | − | 0.760139i | \(-0.274869\pi\) | ||||
0.649761 | + | 0.760139i | \(0.274869\pi\) | |||||||
\(884\) | 4.32741 | − | 2.49843i | 0.145547 | − | 0.0840314i | ||||
\(885\) | 4.94624 | − | 2.49819i | 0.166266 | − | 0.0839758i | ||||
\(886\) | 4.00418 | − | 6.93544i | 0.134523 | − | 0.233001i | ||||
\(887\) | 3.09606 | − | 5.36253i | 0.103955 | − | 0.180056i | −0.809356 | − | 0.587319i | \(-0.800183\pi\) |
0.913311 | + | 0.407263i | \(0.133517\pi\) | |||||||
\(888\) | 8.93706 | + | 0.500140i | 0.299908 | + | 0.0167836i | ||||
\(889\) | 1.04211 | − | 4.29226i | 0.0349513 | − | 0.143958i | ||||
\(890\) | 3.92675i | 0.131625i | ||||||||
\(891\) | 5.75601 | − | 1.78043i | 0.192834 | − | 0.0596466i | ||||
\(892\) | 17.0372i | 0.570448i | ||||||||
\(893\) | 45.8555 | − | 26.4747i | 1.53450 | − | 0.885941i | ||||
\(894\) | −0.274088 | + | 4.89770i | −0.00916686 | + | 0.163804i | ||||
\(895\) | 1.16134 | + | 0.670501i | 0.0388194 | + | 0.0224124i | ||||
\(896\) | −0.744936 | − | 2.53871i | −0.0248866 | − | 0.0848125i | ||||
\(897\) | −11.9148 | + | 6.01779i | −0.397824 | + | 0.200928i | ||||
\(898\) | 7.25917 | + | 12.5733i | 0.242242 | + | 0.419575i | ||||
\(899\) | −11.5699 | −0.385878 | ||||||||
\(900\) | −14.5057 | − | 1.62865i | −0.483522 | − | 0.0542883i | ||||
\(901\) | 0 | 0 | ||||||||
\(902\) | −1.44554 | − | 2.50374i | −0.0481311 | − | 0.0833656i | ||||
\(903\) | 4.68988 | + | 20.0738i | 0.156069 | + | 0.668016i | ||||
\(904\) | 2.07976 | − | 3.60226i | 0.0691719 | − | 0.119809i | ||||
\(905\) | −1.79948 | − | 1.03893i | −0.0598168 | − | 0.0345353i | ||||
\(906\) | 15.6992 | − | 23.9880i | 0.521570 | − | 0.796949i | ||||
\(907\) | 0.0645566 | + | 0.111815i | 0.00214357 | + | 0.00371277i | 0.867095 | − | 0.498142i | \(-0.165984\pi\) |
−0.864952 | + | 0.501855i | \(0.832651\pi\) | |||||||
\(908\) | −5.11024 | −0.169589 | ||||||||
\(909\) | −18.8899 | − | 43.2499i | −0.626539 | − | 1.43451i | ||||
\(910\) | 0.702947 | + | 0.670501i | 0.0233025 | + | 0.0222269i | ||||
\(911\) | 29.6682 | − | 17.1290i | 0.982952 | − | 0.567508i | 0.0797919 | − | 0.996812i | \(-0.474574\pi\) |
0.903160 | + | 0.429304i | \(0.141241\pi\) | |||||||
\(912\) | −4.96410 | − | 9.82856i | −0.164378 | − | 0.325456i | ||||
\(913\) | −9.86424 | − | 5.69512i | −0.326459 | − | 0.188481i | ||||
\(914\) | −8.62130 | − | 4.97751i | −0.285167 | − | 0.164641i | ||||
\(915\) | −3.14306 | − | 0.175894i | −0.103907 | − | 0.00581487i | ||||
\(916\) | 13.2215 | − | 7.63345i | 0.436851 | − | 0.252216i | ||||
\(917\) | −25.9072 | − | 24.7114i | −0.855530 | − | 0.816041i | ||||
\(918\) | 9.03245 | + | 24.2995i | 0.298115 | + | 0.802002i | ||||
\(919\) | 14.3054 | 0.471892 | 0.235946 | − | 0.971766i | \(-0.424181\pi\) | ||||
0.235946 | + | 0.971766i | \(0.424181\pi\) | |||||||
\(920\) | 1.41041 | + | 2.44290i | 0.0464999 | + | 0.0805401i | ||||
\(921\) | −1.13052 | − | 0.0632668i | −0.0372519 | − | 0.00208471i | ||||
\(922\) | 27.9960 | + | 16.1635i | 0.922001 | + | 0.532317i | ||||
\(923\) | −2.75352 | + | 4.76923i | −0.0906332 | + | 0.156981i | ||||
\(924\) | 0.889250 | − | 2.93611i | 0.0292542 | − | 0.0965910i | ||||
\(925\) | −12.5725 | − | 21.7761i | −0.413380 | − | 0.715995i | ||||
\(926\) | 9.45032i | 0.310557i | ||||||||
\(927\) | −27.6327 | − | 20.3771i | −0.907576 | − | 0.669273i | ||||
\(928\) | −1.82898 | −0.0600392 | ||||||||
\(929\) | −5.87364 | − | 10.1734i | −0.192708 | − | 0.333780i | 0.753439 | − | 0.657518i | \(-0.228394\pi\) |
−0.946147 | + | 0.323738i | \(0.895060\pi\) | |||||||
\(930\) | 3.36093 | + | 2.19959i | 0.110209 | + | 0.0721274i | ||||
\(931\) | 20.4056 | − | 39.5463i | 0.668768 | − | 1.29608i | ||||
\(932\) | 8.82741 | + | 5.09651i | 0.289152 | + | 0.166942i | ||||
\(933\) | 13.3984 | + | 8.76868i | 0.438643 | + | 0.287074i | ||||
\(934\) | −17.8941 | + | 10.3312i | −0.585512 | + | 0.338046i | ||||
\(935\) | − | 1.22442i | − | 0.0400427i | ||||||
\(936\) | −1.78330 | + | 2.41827i | −0.0582890 | + | 0.0790436i | ||||
\(937\) | − | 2.63611i | − | 0.0861179i | −0.999073 | − | 0.0430589i | \(-0.986290\pi\) | ||
0.999073 | − | 0.0430589i | \(-0.0137103\pi\) | |||||||
\(938\) | 28.0007 | + | 6.79826i | 0.914256 | + | 0.221971i | ||||
\(939\) | −4.81333 | − | 9.53004i | −0.157077 | − | 0.311001i | ||||
\(940\) | −1.52670 | + | 2.64432i | −0.0497954 | + | 0.0862482i | ||||
\(941\) | 5.96557 | − | 10.3327i | 0.194472 | − | 0.336836i | −0.752255 | − | 0.658872i | \(-0.771034\pi\) |
0.946727 | + | 0.322036i | \(0.104367\pi\) | |||||||
\(942\) | −0.274324 | + | 4.90192i | −0.00893796 | + | 0.159713i | ||||
\(943\) | −28.7776 | + | 16.6148i | −0.937128 | + | 0.541051i | ||||
\(944\) | 8.72695 | 0.284038 | ||||||||
\(945\) | −4.03854 | + | 3.01507i | −0.131374 | + | 0.0980803i | ||||
\(946\) | 3.01149 | 0.0979121 | ||||||||
\(947\) | 6.70267 | − | 3.86979i | 0.217807 | − | 0.125751i | −0.387127 | − | 0.922026i | \(-0.626533\pi\) |
0.604935 | + | 0.796275i | \(0.293199\pi\) | |||||||
\(948\) | −0.808650 | + | 14.4499i | −0.0262637 | + | 0.469309i | ||||
\(949\) | 2.03976 | − | 3.53296i | 0.0662133 | − | 0.114685i | ||||
\(950\) | −15.4659 | + | 26.7877i | −0.501779 | + | 0.869107i | ||||
\(951\) | 16.1285 | + | 31.9333i | 0.523003 | + | 1.03551i | ||||
\(952\) | 12.8272 | + | 3.11429i | 0.415731 | + | 0.100935i | ||||
\(953\) | 3.76685i | 0.122020i | 0.998137 | + | 0.0610102i | \(0.0194322\pi\) | ||||
−0.998137 | + | 0.0610102i | \(0.980568\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | − | 10.0366i | − | 0.324777i | ||||||
\(956\) | −16.6117 | + | 9.59076i | −0.537260 | + | 0.310187i | ||||
\(957\) | −1.77451 | − | 1.16134i | −0.0573617 | − | 0.0375408i | ||||
\(958\) | 8.79955 | + | 5.08042i | 0.284301 | + | 0.164141i | ||||
\(959\) | 6.69586 | + | 22.8193i | 0.216221 | + | 0.736872i | ||||
\(960\) | 0.531299 | + | 0.347713i | 0.0171476 | + | 0.0112224i | ||||
\(961\) | 4.50836 | + | 7.80871i | 0.145431 | + | 0.251894i | ||||
\(962\) | −5.17597 | −0.166880 | ||||||||
\(963\) | 3.70267 | − | 32.9781i | 0.119317 | − | 1.06270i | ||||
\(964\) | 20.6853i | 0.666227i | ||||||||
\(965\) | −1.83817 | − | 3.18381i | −0.0591728 | − | 0.102490i | ||||
\(966\) | −33.7472 | − | 10.2209i | −1.08580 | − | 0.328852i | ||||
\(967\) | −2.28741 | + | 3.96191i | −0.0735581 | + | 0.127406i | −0.900458 | − | 0.434942i | \(-0.856769\pi\) |
0.826900 | + | 0.562349i | \(0.190102\pi\) | |||||||
\(968\) | 9.13815 | + | 5.27592i | 0.293711 | + | 0.169574i | ||||
\(969\) | 54.8489 | + | 3.06948i | 1.76200 | + | 0.0986060i | ||||
\(970\) | −3.15563 | − | 5.46571i | −0.101321 | − | 0.175493i | ||||
\(971\) | 25.8445 | 0.829388 | 0.414694 | − | 0.909961i | \(-0.363889\pi\) | ||||
0.414694 | + | 0.909961i | \(0.363889\pi\) | |||||||
\(972\) | −10.8256 | − | 11.2163i | −0.347233 | − | 0.359763i | ||||
\(973\) | −16.9815 | + | 17.8033i | −0.544403 | + | 0.570747i | ||||
\(974\) | −27.0457 | + | 15.6148i | −0.866599 | + | 0.500331i | ||||
\(975\) | 8.42748 | + | 0.471623i | 0.269895 | + | 0.0151040i | ||||
\(976\) | −4.29351 | − | 2.47886i | −0.137432 | − | 0.0793463i | ||||
\(977\) | −26.0950 | − | 15.0659i | −0.834852 | − | 0.482002i | 0.0206590 | − | 0.999787i | \(-0.493424\pi\) |
−0.855511 | + | 0.517785i | \(0.826757\pi\) | |||||||
\(978\) | −19.3092 | − | 38.2307i | −0.617439 | − | 1.22248i | ||||
\(979\) | −6.21003 | + | 3.58536i | −0.198474 | + | 0.114589i | ||||
\(980\) | 0.121178 | + | 2.56332i | 0.00387088 | + | 0.0818824i | ||||
\(981\) | 31.4921 | + | 3.53583i | 1.00547 | + | 0.112890i | ||||
\(982\) | 20.5899 | 0.657051 | ||||||||
\(983\) | 6.30293 | + | 10.9170i | 0.201032 | + | 0.348198i | 0.948861 | − | 0.315693i | \(-0.102237\pi\) |
−0.747829 | + | 0.663891i | \(0.768904\pi\) | |||||||
\(984\) | −4.09609 | + | 6.25875i | −0.130579 | + | 0.199522i | ||||
\(985\) | −5.97689 | − | 3.45076i | −0.190440 | − | 0.109950i | ||||
\(986\) | 4.56245 | − | 7.90239i | 0.145298 | − | 0.251663i | ||||
\(987\) | −8.68347 | − | 37.1674i | −0.276398 | − | 1.18305i | ||||
\(988\) | 3.18359 | + | 5.51413i | 0.101283 | + | 0.175428i | ||||
\(989\) | − | 34.6136i | − | 1.10065i | ||||||
\(990\) | 0.294689 | + | 0.674714i | 0.00936583 | + | 0.0214438i | ||||
\(991\) | 51.6852 | 1.64184 | 0.820918 | − | 0.571046i | \(-0.193462\pi\) | ||||
0.820918 | + | 0.571046i | \(0.193462\pi\) | |||||||
\(992\) | 3.16294 | + | 5.47837i | 0.100423 | + | 0.173938i | ||||
\(993\) | −16.5603 | + | 8.36407i | −0.525524 | + | 0.265426i | ||||
\(994\) | −13.9590 | + | 4.09598i | −0.442751 | + | 0.129917i | ||||
\(995\) | 1.70300 | + | 0.983227i | 0.0539887 | + | 0.0311704i | ||||
\(996\) | −1.64661 | + | 29.4235i | −0.0521749 | + | 0.932319i | ||||
\(997\) | −35.1469 | + | 20.2921i | −1.11311 | + | 0.642656i | −0.939634 | − | 0.342181i | \(-0.888834\pi\) |
−0.173479 | + | 0.984837i | \(0.555501\pi\) | |||||||
\(998\) | − | 25.1533i | − | 0.796213i | ||||||
\(999\) | 4.48252 | − | 26.4764i | 0.141821 | − | 0.837675i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))