Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [507,2,Mod(239,507)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(507, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("507.239");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 507 = 3 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 507.f (of order \(4\), 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: | \(4.04841538248\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(i)\) |
Coefficient field: | 8.0.56070144.2 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - 4x^{7} + 16x^{6} - 34x^{5} + 63x^{4} - 74x^{3} + 70x^{2} - 38x + 13 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 2^{2} \) |
Twist minimal: | no (minimal twist has level 39) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 437.3 | ||
Root | \(0.500000 - 0.564882i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 507.437 |
Dual form | 507.2.f.e.239.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/507\mathbb{Z}\right)^\times\).
\(n\) | \(170\) | \(340\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.06488 | − | 1.06488i | 0.752986 | − | 0.752986i | −0.222050 | − | 0.975035i | \(-0.571275\pi\) |
0.975035 | + | 0.222050i | \(0.0712747\pi\) | |||||||
\(3\) | 1.36603 | − | 1.06488i | 0.788675 | − | 0.614810i | ||||
\(4\) | − | 0.267949i | − | 0.133975i | ||||||
\(5\) | 1.06488 | − | 1.06488i | 0.476230 | − | 0.476230i | −0.427694 | − | 0.903924i | \(-0.640674\pi\) |
0.903924 | + | 0.427694i | \(0.140674\pi\) | |||||||
\(6\) | 0.320682 | − | 2.58863i | 0.130918 | − | 1.05680i | ||||
\(7\) | −1.00000 | + | 1.00000i | −0.377964 | + | 0.377964i | −0.870367 | − | 0.492403i | \(-0.836119\pi\) |
0.492403 | + | 0.870367i | \(0.336119\pi\) | |||||||
\(8\) | 1.84443 | + | 1.84443i | 0.652105 | + | 0.652105i | ||||
\(9\) | 0.732051 | − | 2.90931i | 0.244017 | − | 0.969771i | ||||
\(10\) | − | 2.26795i | − | 0.717189i | ||||||
\(11\) | −2.90931 | − | 2.90931i | −0.877191 | − | 0.877191i | 0.116052 | − | 0.993243i | \(-0.462976\pi\) |
−0.993243 | + | 0.116052i | \(0.962976\pi\) | |||||||
\(12\) | −0.285334 | − | 0.366025i | −0.0823689 | − | 0.105662i | ||||
\(13\) | 0 | 0 | ||||||||
\(14\) | 2.12976i | 0.569204i | ||||||||
\(15\) | 0.320682 | − | 2.58863i | 0.0827997 | − | 0.668382i | ||||
\(16\) | 4.46410 | 1.11603 | ||||||||
\(17\) | 5.03908 | 1.22216 | 0.611078 | − | 0.791570i | \(-0.290736\pi\) | ||||
0.611078 | + | 0.791570i | \(0.290736\pi\) | |||||||
\(18\) | −2.31853 | − | 3.87762i | −0.546482 | − | 0.913965i | ||||
\(19\) | −2.73205 | − | 2.73205i | −0.626775 | − | 0.626775i | 0.320480 | − | 0.947255i | \(-0.396156\pi\) |
−0.947255 | + | 0.320480i | \(0.896156\pi\) | |||||||
\(20\) | −0.285334 | − | 0.285334i | −0.0638027 | − | 0.0638027i | ||||
\(21\) | −0.301143 | + | 2.43091i | −0.0657148 | + | 0.530468i | ||||
\(22\) | −6.19615 | −1.32102 | ||||||||
\(23\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(24\) | 4.48364 | + | 0.555437i | 0.915219 | + | 0.113378i | ||||
\(25\) | 2.73205i | 0.546410i | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −2.09808 | − | 4.75374i | −0.403775 | − | 0.914858i | ||||
\(28\) | 0.267949 | + | 0.267949i | 0.0506376 | + | 0.0506376i | ||||
\(29\) | 7.16884i | 1.33122i | 0.746299 | + | 0.665610i | \(0.231829\pi\) | ||||
−0.746299 | + | 0.665610i | \(0.768171\pi\) | |||||||
\(30\) | −2.41510 | − | 3.09808i | −0.440935 | − | 0.565629i | ||||
\(31\) | 2.46410 | + | 2.46410i | 0.442566 | + | 0.442566i | 0.892873 | − | 0.450308i | \(-0.148686\pi\) |
−0.450308 | + | 0.892873i | \(0.648686\pi\) | |||||||
\(32\) | 1.06488 | − | 1.06488i | 0.188246 | − | 0.188246i | ||||
\(33\) | −7.07227 | − | 0.876119i | −1.23112 | − | 0.152513i | ||||
\(34\) | 5.36603 | − | 5.36603i | 0.920266 | − | 0.920266i | ||||
\(35\) | 2.12976i | 0.359996i | ||||||||
\(36\) | −0.779548 | − | 0.196152i | −0.129925 | − | 0.0326921i | ||||
\(37\) | −3.83013 | + | 3.83013i | −0.629669 | + | 0.629669i | −0.947985 | − | 0.318316i | \(-0.896883\pi\) |
0.318316 | + | 0.947985i | \(0.396883\pi\) | |||||||
\(38\) | −5.81863 | −0.943906 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 3.92820 | 0.621103 | ||||||||
\(41\) | −3.97420 | + | 3.97420i | −0.620665 | + | 0.620665i | −0.945701 | − | 0.325036i | \(-0.894623\pi\) |
0.325036 | + | 0.945701i | \(0.394623\pi\) | |||||||
\(42\) | 2.26795 | + | 2.90931i | 0.349952 | + | 0.448917i | ||||
\(43\) | − | 2.19615i | − | 0.334910i | −0.985880 | − | 0.167455i | \(-0.946445\pi\) | ||
0.985880 | − | 0.167455i | \(-0.0535549\pi\) | |||||||
\(44\) | −0.779548 | + | 0.779548i | −0.117521 | + | 0.117521i | ||||
\(45\) | −2.31853 | − | 3.87762i | −0.345626 | − | 0.578042i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −4.25953 | − | 4.25953i | −0.621316 | − | 0.621316i | 0.324552 | − | 0.945868i | \(-0.394787\pi\) |
−0.945868 | + | 0.324552i | \(0.894787\pi\) | |||||||
\(48\) | 6.09808 | − | 4.75374i | 0.880181 | − | 0.686144i | ||||
\(49\) | 5.00000i | 0.714286i | ||||||||
\(50\) | 2.90931 | + | 2.90931i | 0.411439 | + | 0.411439i | ||||
\(51\) | 6.88351 | − | 5.36603i | 0.963884 | − | 0.751394i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 0.779548i | 0.107079i | 0.998566 | + | 0.0535396i | \(0.0170503\pi\) | ||||
−0.998566 | + | 0.0535396i | \(0.982950\pi\) | |||||||
\(54\) | −7.29638 | − | 2.82797i | −0.992912 | − | 0.384838i | ||||
\(55\) | −6.19615 | −0.835489 | ||||||||
\(56\) | −3.68886 | −0.492945 | ||||||||
\(57\) | −6.64136 | − | 0.822738i | −0.879670 | − | 0.108974i | ||||
\(58\) | 7.63397 | + | 7.63397i | 1.00239 | + | 1.00239i | ||||
\(59\) | 2.12976 | + | 2.12976i | 0.277272 | + | 0.277272i | 0.832019 | − | 0.554747i | \(-0.187185\pi\) |
−0.554747 | + | 0.832019i | \(0.687185\pi\) | |||||||
\(60\) | −0.693622 | − | 0.0859264i | −0.0895462 | − | 0.0110931i | ||||
\(61\) | −7.00000 | −0.896258 | −0.448129 | − | 0.893969i | \(-0.647910\pi\) | ||||
−0.448129 | + | 0.893969i | \(0.647910\pi\) | |||||||
\(62\) | 5.24796 | 0.666491 | ||||||||
\(63\) | 2.17726 | + | 3.64136i | 0.274309 | + | 0.458769i | ||||
\(64\) | 6.66025i | 0.832532i | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −8.46410 | + | 6.59817i | −1.04186 | + | 0.812179i | ||||
\(67\) | 4.19615 | + | 4.19615i | 0.512642 | + | 0.512642i | 0.915335 | − | 0.402693i | \(-0.131926\pi\) |
−0.402693 | + | 0.915335i | \(0.631926\pi\) | |||||||
\(68\) | − | 1.35022i | − | 0.163738i | ||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 2.26795 | + | 2.26795i | 0.271072 | + | 0.271072i | ||||
\(71\) | −2.12976 | + | 2.12976i | −0.252757 | + | 0.252757i | −0.822100 | − | 0.569343i | \(-0.807198\pi\) |
0.569343 | + | 0.822100i | \(0.307198\pi\) | |||||||
\(72\) | 6.71624 | − | 4.01581i | 0.791517 | − | 0.473268i | ||||
\(73\) | 0.901924 | − | 0.901924i | 0.105562 | − | 0.105562i | −0.652353 | − | 0.757915i | \(-0.726218\pi\) |
0.757915 | + | 0.652353i | \(0.226218\pi\) | |||||||
\(74\) | 8.15727i | 0.948263i | ||||||||
\(75\) | 2.90931 | + | 3.73205i | 0.335939 | + | 0.430940i | ||||
\(76\) | −0.732051 | + | 0.732051i | −0.0839720 | + | 0.0839720i | ||||
\(77\) | 5.81863 | 0.663094 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 2.00000 | 0.225018 | 0.112509 | − | 0.993651i | \(-0.464111\pi\) | ||||
0.112509 | + | 0.993651i | \(0.464111\pi\) | |||||||
\(80\) | 4.75374 | − | 4.75374i | 0.531485 | − | 0.531485i | ||||
\(81\) | −7.92820 | − | 4.25953i | −0.880911 | − | 0.473281i | ||||
\(82\) | 8.46410i | 0.934704i | ||||||||
\(83\) | 2.90931 | − | 2.90931i | 0.319339 | − | 0.319339i | −0.529174 | − | 0.848513i | \(-0.677498\pi\) |
0.848513 | + | 0.529174i | \(0.177498\pi\) | |||||||
\(84\) | 0.651360 | + | 0.0806910i | 0.0710692 | + | 0.00880411i | ||||
\(85\) | 5.36603 | − | 5.36603i | 0.582027 | − | 0.582027i | ||||
\(86\) | −2.33864 | − | 2.33864i | −0.252182 | − | 0.252182i | ||||
\(87\) | 7.63397 | + | 9.79282i | 0.818448 | + | 1.04990i | ||||
\(88\) | − | 10.7321i | − | 1.14404i | ||||||
\(89\) | −6.59817 | − | 6.59817i | −0.699405 | − | 0.699405i | 0.264877 | − | 0.964282i | \(-0.414669\pi\) |
−0.964282 | + | 0.264877i | \(0.914669\pi\) | |||||||
\(90\) | −6.59817 | − | 1.66025i | −0.695509 | − | 0.175006i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 5.99000 | + | 0.742047i | 0.621134 | + | 0.0769467i | ||||
\(94\) | −9.07180 | −0.935684 | ||||||||
\(95\) | −5.81863 | −0.596978 | ||||||||
\(96\) | 0.320682 | − | 2.58863i | 0.0327295 | − | 0.264201i | ||||
\(97\) | 1.19615 | + | 1.19615i | 0.121451 | + | 0.121451i | 0.765220 | − | 0.643769i | \(-0.222630\pi\) |
−0.643769 | + | 0.765220i | \(0.722630\pi\) | |||||||
\(98\) | 5.32441 | + | 5.32441i | 0.537847 | + | 0.537847i | ||||
\(99\) | −10.5939 | + | 6.33434i | −1.06472 | + | 0.636625i | ||||
\(100\) | 0.732051 | 0.0732051 | ||||||||
\(101\) | −6.02751 | −0.599759 | −0.299880 | − | 0.953977i | \(-0.596947\pi\) | ||||
−0.299880 | + | 0.953977i | \(0.596947\pi\) | |||||||
\(102\) | 1.61594 | − | 13.0443i | 0.160002 | − | 1.29158i | ||||
\(103\) | − | 6.92820i | − | 0.682656i | −0.939944 | − | 0.341328i | \(-0.889123\pi\) | ||
0.939944 | − | 0.341328i | \(-0.110877\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 2.26795 | + | 2.90931i | 0.221329 | + | 0.283920i | ||||
\(106\) | 0.830127 | + | 0.830127i | 0.0806291 | + | 0.0806291i | ||||
\(107\) | − | 19.0150i | − | 1.83825i | −0.393970 | − | 0.919123i | \(-0.628899\pi\) | ||
0.393970 | − | 0.919123i | \(-0.371101\pi\) | |||||||
\(108\) | −1.27376 | + | 0.562178i | −0.122568 | + | 0.0540956i | ||||
\(109\) | 13.1962 | + | 13.1962i | 1.26396 | + | 1.26396i | 0.949156 | + | 0.314806i | \(0.101940\pi\) |
0.314806 | + | 0.949156i | \(0.398060\pi\) | |||||||
\(110\) | −6.59817 | + | 6.59817i | −0.629111 | + | 0.629111i | ||||
\(111\) | −1.15342 | + | 9.31069i | −0.109477 | + | 0.883731i | ||||
\(112\) | −4.46410 | + | 4.46410i | −0.421818 | + | 0.421818i | ||||
\(113\) | − | 10.2870i | − | 0.967723i | −0.875145 | − | 0.483861i | \(-0.839234\pi\) | ||
0.875145 | − | 0.483861i | \(-0.160766\pi\) | |||||||
\(114\) | −7.94839 | + | 6.19615i | −0.744435 | + | 0.580323i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 1.92089 | 0.178350 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 4.53590 | 0.417563 | ||||||||
\(119\) | −5.03908 | + | 5.03908i | −0.461932 | + | 0.461932i | ||||
\(120\) | 5.36603 | − | 4.18307i | 0.489849 | − | 0.381861i | ||||
\(121\) | 5.92820i | 0.538928i | ||||||||
\(122\) | −7.45418 | + | 7.45418i | −0.674869 | + | 0.674869i | ||||
\(123\) | −1.19680 | + | 9.66090i | −0.107912 | + | 0.871094i | ||||
\(124\) | 0.660254 | − | 0.660254i | 0.0592926 | − | 0.0592926i | ||||
\(125\) | 8.23373 | + | 8.23373i | 0.736447 | + | 0.736447i | ||||
\(126\) | 6.19615 | + | 1.55910i | 0.551997 | + | 0.138895i | ||||
\(127\) | 9.12436i | 0.809656i | 0.914393 | + | 0.404828i | \(0.132669\pi\) | ||||
−0.914393 | + | 0.404828i | \(0.867331\pi\) | |||||||
\(128\) | 9.22215 | + | 9.22215i | 0.815131 | + | 0.815131i | ||||
\(129\) | −2.33864 | − | 3.00000i | −0.205906 | − | 0.264135i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | − | 7.94839i | − | 0.694454i | −0.937781 | − | 0.347227i | \(-0.887123\pi\) | ||
0.937781 | − | 0.347227i | \(-0.112877\pi\) | |||||||
\(132\) | −0.234755 | + | 1.89501i | −0.0204328 | + | 0.164939i | ||||
\(133\) | 5.46410 | 0.473798 | ||||||||
\(134\) | 8.93682 | 0.772023 | ||||||||
\(135\) | −7.29638 | − | 2.82797i | −0.627973 | − | 0.243393i | ||||
\(136\) | 9.29423 | + | 9.29423i | 0.796974 | + | 0.796974i | ||||
\(137\) | −4.75374 | − | 4.75374i | −0.406140 | − | 0.406140i | 0.474250 | − | 0.880390i | \(-0.342719\pi\) |
−0.880390 | + | 0.474250i | \(0.842719\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 18.3923 | 1.56001 | 0.780007 | − | 0.625770i | \(-0.215215\pi\) | ||||
0.780007 | + | 0.625770i | \(0.215215\pi\) | |||||||
\(140\) | 0.570669 | 0.0482303 | ||||||||
\(141\) | −10.3545 | − | 1.28273i | −0.872008 | − | 0.108025i | ||||
\(142\) | 4.53590i | 0.380644i | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 3.26795 | − | 12.9875i | 0.272329 | − | 1.08229i | ||||
\(145\) | 7.63397 | + | 7.63397i | 0.633967 | + | 0.633967i | ||||
\(146\) | − | 1.92089i | − | 0.158974i | ||||||
\(147\) | 5.32441 | + | 6.83013i | 0.439150 | + | 0.563339i | ||||
\(148\) | 1.02628 | + | 1.02628i | 0.0843597 | + | 0.0843597i | ||||
\(149\) | 6.10396 | − | 6.10396i | 0.500056 | − | 0.500056i | −0.411399 | − | 0.911455i | \(-0.634960\pi\) |
0.911455 | + | 0.411399i | \(0.134960\pi\) | |||||||
\(150\) | 7.07227 | + | 0.876119i | 0.577449 | + | 0.0715348i | ||||
\(151\) | −0.535898 | + | 0.535898i | −0.0436108 | + | 0.0436108i | −0.728576 | − | 0.684965i | \(-0.759817\pi\) |
0.684965 | + | 0.728576i | \(0.259817\pi\) | |||||||
\(152\) | − | 10.0782i | − | 0.817446i | ||||||
\(153\) | 3.68886 | − | 14.6603i | 0.298227 | − | 1.18521i | ||||
\(154\) | 6.19615 | − | 6.19615i | 0.499300 | − | 0.499300i | ||||
\(155\) | 5.24796 | 0.421526 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −4.80385 | −0.383389 | −0.191694 | − | 0.981455i | \(-0.561398\pi\) | ||||
−0.191694 | + | 0.981455i | \(0.561398\pi\) | |||||||
\(158\) | 2.12976 | − | 2.12976i | 0.169435 | − | 0.169435i | ||||
\(159\) | 0.830127 | + | 1.06488i | 0.0658334 | + | 0.0844507i | ||||
\(160\) | − | 2.26795i | − | 0.179297i | ||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −12.9785 | + | 3.90671i | −1.01969 | + | 0.306940i | ||||
\(163\) | 2.92820 | − | 2.92820i | 0.229355 | − | 0.229355i | −0.583068 | − | 0.812423i | \(-0.698148\pi\) |
0.812423 | + | 0.583068i | \(0.198148\pi\) | |||||||
\(164\) | 1.06488 | + | 1.06488i | 0.0831533 | + | 0.0831533i | ||||
\(165\) | −8.46410 | + | 6.59817i | −0.658929 | + | 0.513667i | ||||
\(166\) | − | 6.19615i | − | 0.480915i | ||||||
\(167\) | 9.50749 | + | 9.50749i | 0.735711 | + | 0.735711i | 0.971745 | − | 0.236034i | \(-0.0758475\pi\) |
−0.236034 | + | 0.971745i | \(0.575848\pi\) | |||||||
\(168\) | −5.03908 | + | 3.92820i | −0.388773 | + | 0.303067i | ||||
\(169\) | 0 | 0 | ||||||||
\(170\) | − | 11.4284i | − | 0.876516i | ||||||
\(171\) | −9.94839 | + | 5.94839i | −0.760772 | + | 0.454885i | ||||
\(172\) | −0.588457 | −0.0448694 | ||||||||
\(173\) | −17.4559 | −1.32715 | −0.663573 | − | 0.748112i | \(-0.730961\pi\) | ||||
−0.663573 | + | 0.748112i | \(0.730961\pi\) | |||||||
\(174\) | 18.5575 | + | 2.29892i | 1.40684 | + | 0.174281i | ||||
\(175\) | −2.73205 | − | 2.73205i | −0.206524 | − | 0.206524i | ||||
\(176\) | −12.9875 | − | 12.9875i | −0.978967 | − | 0.978967i | ||||
\(177\) | 5.17726 | + | 0.641364i | 0.389147 | + | 0.0482078i | ||||
\(178\) | −14.0526 | −1.05328 | ||||||||
\(179\) | −26.5456 | −1.98411 | −0.992056 | − | 0.125798i | \(-0.959851\pi\) | ||||
−0.992056 | + | 0.125798i | \(0.959851\pi\) | |||||||
\(180\) | −1.03901 | + | 0.621248i | −0.0774430 | + | 0.0463051i | ||||
\(181\) | − | 3.00000i | − | 0.222988i | −0.993765 | − | 0.111494i | \(-0.964436\pi\) | ||
0.993765 | − | 0.111494i | \(-0.0355636\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −9.56218 | + | 7.45418i | −0.706857 | + | 0.551029i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 8.15727i | 0.599734i | ||||||||
\(186\) | 7.16884 | − | 5.58846i | 0.525645 | − | 0.409766i | ||||
\(187\) | −14.6603 | − | 14.6603i | −1.07206 | − | 1.07206i | ||||
\(188\) | −1.14134 | + | 1.14134i | −0.0832406 | + | 0.0832406i | ||||
\(189\) | 6.85182 | + | 2.65567i | 0.498397 | + | 0.193171i | ||||
\(190\) | −6.19615 | + | 6.19615i | −0.449516 | + | 0.449516i | ||||
\(191\) | 4.83020i | 0.349501i | 0.984613 | + | 0.174750i | \(0.0559119\pi\) | ||||
−0.984613 | + | 0.174750i | \(0.944088\pi\) | |||||||
\(192\) | 7.09239 | + | 9.09808i | 0.511849 | + | 0.656597i | ||||
\(193\) | 0.0980762 | − | 0.0980762i | 0.00705968 | − | 0.00705968i | −0.703568 | − | 0.710628i | \(-0.748411\pi\) |
0.710628 | + | 0.703568i | \(0.248411\pi\) | |||||||
\(194\) | 2.54752 | 0.182902 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 1.33975 | 0.0956961 | ||||||||
\(197\) | 2.90931 | − | 2.90931i | 0.207280 | − | 0.207280i | −0.595830 | − | 0.803110i | \(-0.703177\pi\) |
0.803110 | + | 0.595830i | \(0.203177\pi\) | |||||||
\(198\) | −4.53590 | + | 18.0265i | −0.322352 | + | 1.28109i | ||||
\(199\) | − | 12.9282i | − | 0.916456i | −0.888835 | − | 0.458228i | \(-0.848484\pi\) | ||
0.888835 | − | 0.458228i | \(-0.151516\pi\) | |||||||
\(200\) | −5.03908 | + | 5.03908i | −0.356317 | + | 0.356317i | ||||
\(201\) | 10.2005 | + | 1.26364i | 0.719485 | + | 0.0891304i | ||||
\(202\) | −6.41858 | + | 6.41858i | −0.451610 | + | 0.451610i | ||||
\(203\) | −7.16884 | − | 7.16884i | −0.503154 | − | 0.503154i | ||||
\(204\) | −1.43782 | − | 1.84443i | −0.100668 | − | 0.129136i | ||||
\(205\) | 8.46410i | 0.591158i | ||||||||
\(206\) | −7.37772 | − | 7.37772i | −0.514030 | − | 0.514030i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 15.8968i | 1.09960i | ||||||||
\(210\) | 5.51318 | + | 0.682977i | 0.380445 | + | 0.0471299i | ||||
\(211\) | −1.80385 | −0.124182 | −0.0620910 | − | 0.998070i | \(-0.519777\pi\) | ||||
−0.0620910 | + | 0.998070i | \(0.519777\pi\) | |||||||
\(212\) | 0.208879 | 0.0143459 | ||||||||
\(213\) | −0.641364 | + | 5.17726i | −0.0439455 | + | 0.354740i | ||||
\(214\) | −20.2487 | − | 20.2487i | −1.38417 | − | 1.38417i | ||||
\(215\) | −2.33864 | − | 2.33864i | −0.159494 | − | 0.159494i | ||||
\(216\) | 4.89819 | − | 12.6377i | 0.333280 | − | 0.859887i | ||||
\(217\) | −4.92820 | −0.334548 | ||||||||
\(218\) | 28.1047 | 1.90349 | ||||||||
\(219\) | 0.271608 | − | 2.19249i | 0.0183536 | − | 0.148155i | ||||
\(220\) | 1.66025i | 0.111934i | ||||||||
\(221\) | 0 | 0 | ||||||||
\(222\) | 8.68653 | + | 11.1430i | 0.583002 | + | 0.747872i | ||||
\(223\) | −18.3205 | − | 18.3205i | −1.22683 | − | 1.22683i | −0.965156 | − | 0.261676i | \(-0.915725\pi\) |
−0.261676 | − | 0.965156i | \(-0.584275\pi\) | |||||||
\(224\) | 2.12976i | 0.142301i | ||||||||
\(225\) | 7.94839 | + | 2.00000i | 0.529893 | + | 0.133333i | ||||
\(226\) | −10.9545 | − | 10.9545i | −0.728681 | − | 0.728681i | ||||
\(227\) | 14.3377 | − | 14.3377i | 0.951626 | − | 0.951626i | −0.0472572 | − | 0.998883i | \(-0.515048\pi\) |
0.998883 | + | 0.0472572i | \(0.0150480\pi\) | |||||||
\(228\) | −0.220452 | + | 1.77955i | −0.0145998 | + | 0.117853i | ||||
\(229\) | 14.1244 | − | 14.1244i | 0.933364 | − | 0.933364i | −0.0645507 | − | 0.997914i | \(-0.520561\pi\) |
0.997914 | + | 0.0645507i | \(0.0205614\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 7.94839 | − | 6.19615i | 0.522966 | − | 0.407677i | ||||
\(232\) | −13.2224 | + | 13.2224i | −0.868095 | + | 0.868095i | ||||
\(233\) | −17.4559 | −1.14357 | −0.571786 | − | 0.820403i | \(-0.693749\pi\) | ||||
−0.571786 | + | 0.820403i | \(0.693749\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −9.07180 | −0.591779 | ||||||||
\(236\) | 0.570669 | − | 0.570669i | 0.0371474 | − | 0.0371474i | ||||
\(237\) | 2.73205 | − | 2.12976i | 0.177466 | − | 0.138343i | ||||
\(238\) | 10.7321i | 0.695656i | ||||||||
\(239\) | 6.59817 | − | 6.59817i | 0.426800 | − | 0.426800i | −0.460737 | − | 0.887537i | \(-0.652415\pi\) |
0.887537 | + | 0.460737i | \(0.152415\pi\) | |||||||
\(240\) | 1.43156 | − | 11.5559i | 0.0924066 | − | 0.745931i | ||||
\(241\) | −10.2942 | + | 10.2942i | −0.663110 | + | 0.663110i | −0.956112 | − | 0.293002i | \(-0.905346\pi\) |
0.293002 | + | 0.956112i | \(0.405346\pi\) | |||||||
\(242\) | 6.31284 | + | 6.31284i | 0.405805 | + | 0.405805i | ||||
\(243\) | −15.3660 | + | 2.62398i | −0.985731 | + | 0.168328i | ||||
\(244\) | 1.87564i | 0.120076i | ||||||||
\(245\) | 5.32441 | + | 5.32441i | 0.340164 | + | 0.340164i | ||||
\(246\) | 9.01327 | + | 11.5622i | 0.574665 | + | 0.737178i | ||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 9.08973i | 0.577198i | ||||||||
\(249\) | 0.876119 | − | 7.07227i | 0.0555218 | − | 0.448187i | ||||
\(250\) | 17.5359 | 1.10907 | ||||||||
\(251\) | 0.988427 | 0.0623890 | 0.0311945 | − | 0.999513i | \(-0.490069\pi\) | ||||
0.0311945 | + | 0.999513i | \(0.490069\pi\) | |||||||
\(252\) | 0.975700 | − | 0.583396i | 0.0614634 | − | 0.0367505i | ||||
\(253\) | 0 | 0 | ||||||||
\(254\) | 9.71637 | + | 9.71637i | 0.609659 | + | 0.609659i | ||||
\(255\) | 1.61594 | − | 13.0443i | 0.101194 | − | 0.816867i | ||||
\(256\) | 6.32051 | 0.395032 | ||||||||
\(257\) | 21.5065 | 1.34154 | 0.670770 | − | 0.741665i | \(-0.265964\pi\) | ||||
0.670770 | + | 0.741665i | \(0.265964\pi\) | |||||||
\(258\) | −5.68503 | − | 0.704266i | −0.353934 | − | 0.0438457i | ||||
\(259\) | − | 7.66025i | − | 0.475985i | ||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 20.8564 | + | 5.24796i | 1.29098 | + | 0.324840i | ||||
\(262\) | −8.46410 | − | 8.46410i | −0.522914 | − | 0.522914i | ||||
\(263\) | 22.2861i | 1.37422i | 0.726554 | + | 0.687109i | \(0.241121\pi\) | ||||
−0.726554 | + | 0.687109i | \(0.758879\pi\) | |||||||
\(264\) | −11.4284 | − | 14.6603i | −0.703368 | − | 0.902276i | ||||
\(265\) | 0.830127 | + | 0.830127i | 0.0509943 | + | 0.0509943i | ||||
\(266\) | 5.81863 | − | 5.81863i | 0.356763 | − | 0.356763i | ||||
\(267\) | −16.0396 | − | 1.98699i | −0.981605 | − | 0.121602i | ||||
\(268\) | 1.12436 | − | 1.12436i | 0.0686810 | − | 0.0686810i | ||||
\(269\) | − | 14.3377i | − | 0.874184i | −0.899417 | − | 0.437092i | \(-0.856008\pi\) | ||
0.899417 | − | 0.437092i | \(-0.143992\pi\) | |||||||
\(270\) | −10.7812 | + | 4.75833i | −0.656126 | + | 0.289583i | ||||
\(271\) | 5.46410 | − | 5.46410i | 0.331921 | − | 0.331921i | −0.521395 | − | 0.853315i | \(-0.674588\pi\) |
0.853315 | + | 0.521395i | \(0.174588\pi\) | |||||||
\(272\) | 22.4950 | 1.36396 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −10.1244 | −0.611635 | ||||||||
\(275\) | 7.94839 | − | 7.94839i | 0.479306 | − | 0.479306i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | − | 27.5885i | − | 1.65763i | −0.559523 | − | 0.828815i | \(-0.689016\pi\) | ||
0.559523 | − | 0.828815i | \(-0.310984\pi\) | |||||||
\(278\) | 19.5856 | − | 19.5856i | 1.17467 | − | 1.17467i | ||||
\(279\) | 8.97269 | − | 5.36500i | 0.537181 | − | 0.321194i | ||||
\(280\) | −3.92820 | + | 3.92820i | −0.234755 | + | 0.234755i | ||||
\(281\) | −12.1315 | − | 12.1315i | −0.723703 | − | 0.723703i | 0.245655 | − | 0.969357i | \(-0.420997\pi\) |
−0.969357 | + | 0.245655i | \(0.920997\pi\) | |||||||
\(282\) | −12.3923 | + | 9.66040i | −0.737951 | + | 0.575268i | ||||
\(283\) | − | 6.58846i | − | 0.391643i | −0.980640 | − | 0.195822i | \(-0.937263\pi\) | ||
0.980640 | − | 0.195822i | \(-0.0627373\pi\) | |||||||
\(284\) | 0.570669 | + | 0.570669i | 0.0338630 | + | 0.0338630i | ||||
\(285\) | −7.94839 | + | 6.19615i | −0.470822 | + | 0.367028i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | − | 7.94839i | − | 0.469179i | ||||||
\(288\) | −2.31853 | − | 3.87762i | −0.136621 | − | 0.228491i | ||||
\(289\) | 8.39230 | 0.493665 | ||||||||
\(290\) | 16.2586 | 0.954736 | ||||||||
\(291\) | 2.90774 | + | 0.360213i | 0.170455 | + | 0.0211161i | ||||
\(292\) | −0.241670 | − | 0.241670i | −0.0141427 | − | 0.0141427i | ||||
\(293\) | 1.27376 | + | 1.27376i | 0.0744140 | + | 0.0744140i | 0.743334 | − | 0.668920i | \(-0.233243\pi\) |
−0.668920 | + | 0.743334i | \(0.733243\pi\) | |||||||
\(294\) | 12.9432 | + | 1.60341i | 0.754860 | + | 0.0935127i | ||||
\(295\) | 4.53590 | 0.264090 | ||||||||
\(296\) | −14.1288 | −0.821220 | ||||||||
\(297\) | −7.72617 | + | 19.9341i | −0.448318 | + | 1.15669i | ||||
\(298\) | − | 13.0000i | − | 0.753070i | ||||||
\(299\) | 0 | 0 | ||||||||
\(300\) | 1.00000 | − | 0.779548i | 0.0577350 | − | 0.0450072i | ||||
\(301\) | 2.19615 | + | 2.19615i | 0.126584 | + | 0.126584i | ||||
\(302\) | 1.14134i | 0.0656766i | ||||||||
\(303\) | −8.23373 | + | 6.41858i | −0.473015 | + | 0.368738i | ||||
\(304\) | −12.1962 | − | 12.1962i | −0.699497 | − | 0.699497i | ||||
\(305\) | −7.45418 | + | 7.45418i | −0.426825 | + | 0.426825i | ||||
\(306\) | −11.6832 | − | 19.5397i | −0.667887 | − | 1.11701i | ||||
\(307\) | −8.39230 | + | 8.39230i | −0.478974 | + | 0.478974i | −0.904803 | − | 0.425829i | \(-0.859982\pi\) |
0.425829 | + | 0.904803i | \(0.359982\pi\) | |||||||
\(308\) | − | 1.55910i | − | 0.0888377i | ||||||
\(309\) | −7.37772 | − | 9.46410i | −0.419704 | − | 0.538394i | ||||
\(310\) | 5.58846 | − | 5.58846i | 0.317403 | − | 0.317403i | ||||
\(311\) | −10.0782 | −0.571480 | −0.285740 | − | 0.958307i | \(-0.592239\pi\) | ||||
−0.285740 | + | 0.958307i | \(0.592239\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 2.00000 | 0.113047 | 0.0565233 | − | 0.998401i | \(-0.481998\pi\) | ||||
0.0565233 | + | 0.998401i | \(0.481998\pi\) | |||||||
\(314\) | −5.11553 | + | 5.11553i | −0.288686 | + | 0.288686i | ||||
\(315\) | 6.19615 | + | 1.55910i | 0.349114 | + | 0.0878451i | ||||
\(316\) | − | 0.535898i | − | 0.0301466i | ||||||
\(317\) | −11.3519 | + | 11.3519i | −0.637587 | + | 0.637587i | −0.949960 | − | 0.312373i | \(-0.898876\pi\) |
0.312373 | + | 0.949960i | \(0.398876\pi\) | |||||||
\(318\) | 2.01796 | + | 0.249987i | 0.113162 | + | 0.0140186i | ||||
\(319\) | 20.8564 | − | 20.8564i | 1.16773 | − | 1.16773i | ||||
\(320\) | 7.09239 | + | 7.09239i | 0.396477 | + | 0.396477i | ||||
\(321\) | −20.2487 | − | 25.9749i | −1.13017 | − | 1.44978i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −13.7670 | − | 13.7670i | −0.766017 | − | 0.766017i | ||||
\(324\) | −1.14134 | + | 2.12436i | −0.0634076 | + | 0.118020i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | − | 6.23638i | − | 0.345401i | ||||||
\(327\) | 32.0786 | + | 3.97393i | 1.77395 | + | 0.219759i | ||||
\(328\) | −14.6603 | −0.809477 | ||||||||
\(329\) | 8.51906 | 0.469671 | ||||||||
\(330\) | −1.98699 | + | 16.0396i | −0.109380 | + | 0.882948i | ||||
\(331\) | −24.1962 | − | 24.1962i | −1.32994 | − | 1.32994i | −0.905417 | − | 0.424524i | \(-0.860441\pi\) |
−0.424524 | − | 0.905417i | \(-0.639559\pi\) | |||||||
\(332\) | −0.779548 | − | 0.779548i | −0.0427833 | − | 0.0427833i | ||||
\(333\) | 8.33919 | + | 13.9469i | 0.456985 | + | 0.764285i | ||||
\(334\) | 20.2487 | 1.10796 | ||||||||
\(335\) | 8.93682 | 0.488271 | ||||||||
\(336\) | −1.34433 | + | 10.8518i | −0.0733394 | + | 0.592015i | ||||
\(337\) | 18.4641i | 1.00580i | 0.864344 | + | 0.502902i | \(0.167734\pi\) | ||||
−0.864344 | + | 0.502902i | \(0.832266\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −10.9545 | − | 14.0524i | −0.594966 | − | 0.763219i | ||||
\(340\) | −1.43782 | − | 1.43782i | −0.0779769 | − | 0.0779769i | ||||
\(341\) | − | 14.3377i | − | 0.776429i | ||||||
\(342\) | −4.25953 | + | 16.9282i | −0.230329 | + | 0.915372i | ||||
\(343\) | −12.0000 | − | 12.0000i | −0.647939 | − | 0.647939i | ||||
\(344\) | 4.05065 | − | 4.05065i | 0.218396 | − | 0.218396i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −18.5885 | + | 18.5885i | −0.999322 | + | 0.999322i | ||||
\(347\) | 20.5741i | 1.10447i | 0.833687 | + | 0.552237i | \(0.186226\pi\) | ||||
−0.833687 | + | 0.552237i | \(0.813774\pi\) | |||||||
\(348\) | 2.62398 | − | 2.04552i | 0.140660 | − | 0.109651i | ||||
\(349\) | 20.1244 | − | 20.1244i | 1.07723 | − | 1.07723i | 0.0804755 | − | 0.996757i | \(-0.474356\pi\) |
0.996757 | − | 0.0804755i | \(-0.0256439\pi\) | |||||||
\(350\) | −5.81863 | −0.311019 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −6.19615 | −0.330256 | ||||||||
\(353\) | −10.0017 | + | 10.0017i | −0.532337 | + | 0.532337i | −0.921267 | − | 0.388930i | \(-0.872845\pi\) |
0.388930 | + | 0.921267i | \(0.372845\pi\) | |||||||
\(354\) | 6.19615 | − | 4.83020i | 0.329322 | − | 0.256722i | ||||
\(355\) | 4.53590i | 0.240740i | ||||||||
\(356\) | −1.76798 | + | 1.76798i | −0.0937025 | + | 0.0937025i | ||||
\(357\) | −1.51748 | + | 12.2495i | −0.0803137 | + | 0.648314i | ||||
\(358\) | −28.2679 | + | 28.2679i | −1.49401 | + | 1.49401i | ||||
\(359\) | 18.2354 | + | 18.2354i | 0.962429 | + | 0.962429i | 0.999319 | − | 0.0368904i | \(-0.0117452\pi\) |
−0.0368904 | + | 0.999319i | \(0.511745\pi\) | |||||||
\(360\) | 2.87564 | − | 11.4284i | 0.151560 | − | 0.602328i | ||||
\(361\) | − | 4.07180i | − | 0.214305i | ||||||
\(362\) | −3.19465 | − | 3.19465i | −0.167907 | − | 0.167907i | ||||
\(363\) | 6.31284 | + | 8.09808i | 0.331338 | + | 0.425039i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | − | 1.92089i | − | 0.100544i | ||||||
\(366\) | −2.24477 | + | 18.1204i | −0.117336 | + | 0.947169i | ||||
\(367\) | 30.3923 | 1.58647 | 0.793233 | − | 0.608919i | \(-0.208396\pi\) | ||||
0.793233 | + | 0.608919i | \(0.208396\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 8.65286 | + | 14.4715i | 0.450450 | + | 0.753356i | ||||
\(370\) | 8.68653 | + | 8.68653i | 0.451591 | + | 0.451591i | ||||
\(371\) | −0.779548 | − | 0.779548i | −0.0404721 | − | 0.0404721i | ||||
\(372\) | 0.198831 | − | 1.60502i | 0.0103089 | − | 0.0832162i | ||||
\(373\) | 11.5885 | 0.600028 | 0.300014 | − | 0.953935i | \(-0.403009\pi\) | ||||
0.300014 | + | 0.953935i | \(0.403009\pi\) | |||||||
\(374\) | −31.2229 | −1.61450 | ||||||||
\(375\) | 20.0154 | + | 2.47953i | 1.03359 | + | 0.128042i | ||||
\(376\) | − | 15.7128i | − | 0.810326i | ||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | 10.1244 | − | 4.46841i | 0.520741 | − | 0.229830i | ||||
\(379\) | −10.4641 | − | 10.4641i | −0.537505 | − | 0.537505i | 0.385291 | − | 0.922795i | \(-0.374101\pi\) |
−0.922795 | + | 0.385291i | \(0.874101\pi\) | |||||||
\(380\) | 1.55910i | 0.0799799i | ||||||||
\(381\) | 9.71637 | + | 12.4641i | 0.497785 | + | 0.638555i | ||||
\(382\) | 5.14359 | + | 5.14359i | 0.263169 | + | 0.263169i | ||||
\(383\) | −23.2745 | + | 23.2745i | −1.18927 | + | 1.18927i | −0.212002 | + | 0.977269i | \(0.567998\pi\) |
−0.977269 | + | 0.212002i | \(0.932002\pi\) | |||||||
\(384\) | 22.4182 | + | 2.77719i | 1.14402 | + | 0.141723i | ||||
\(385\) | 6.19615 | − | 6.19615i | 0.315785 | − | 0.315785i | ||||
\(386\) | − | 0.208879i | − | 0.0106317i | ||||||
\(387\) | −6.38929 | − | 1.60770i | −0.324786 | − | 0.0817237i | ||||
\(388\) | 0.320508 | − | 0.320508i | 0.0162713 | − | 0.0162713i | ||||
\(389\) | −22.4950 | −1.14054 | −0.570270 | − | 0.821457i | \(-0.693161\pi\) | ||||
−0.570270 | + | 0.821457i | \(0.693161\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0 | 0 | ||||||||
\(392\) | −9.22215 | + | 9.22215i | −0.465789 | + | 0.465789i | ||||
\(393\) | −8.46410 | − | 10.8577i | −0.426957 | − | 0.547699i | ||||
\(394\) | − | 6.19615i | − | 0.312158i | ||||||
\(395\) | 2.12976 | − | 2.12976i | 0.107160 | − | 0.107160i | ||||
\(396\) | 1.69728 | + | 2.83862i | 0.0852916 | + | 0.142646i | ||||
\(397\) | 9.73205 | − | 9.73205i | 0.488438 | − | 0.488438i | −0.419375 | − | 0.907813i | \(-0.637751\pi\) |
0.907813 | + | 0.419375i | \(0.137751\pi\) | |||||||
\(398\) | −13.7670 | − | 13.7670i | −0.690078 | − | 0.690078i | ||||
\(399\) | 7.46410 | − | 5.81863i | 0.373672 | − | 0.291296i | ||||
\(400\) | 12.1962i | 0.609808i | ||||||||
\(401\) | −8.80439 | − | 8.80439i | −0.439670 | − | 0.439670i | 0.452231 | − | 0.891901i | \(-0.350628\pi\) |
−0.891901 | + | 0.452231i | \(0.850628\pi\) | |||||||
\(402\) | 12.2079 | − | 9.51666i | 0.608876 | − | 0.474648i | ||||
\(403\) | 0 | 0 | ||||||||
\(404\) | 1.61507i | 0.0803525i | ||||||||
\(405\) | −12.9785 | + | 3.90671i | −0.644907 | + | 0.194126i | ||||
\(406\) | −15.2679 | −0.757736 | ||||||||
\(407\) | 22.2861 | 1.10468 | ||||||||
\(408\) | 22.5934 | + | 2.79889i | 1.11854 | + | 0.138566i | ||||
\(409\) | 21.2224 | + | 21.2224i | 1.04938 | + | 1.04938i | 0.998716 | + | 0.0506661i | \(0.0161344\pi\) |
0.0506661 | + | 0.998716i | \(0.483866\pi\) | |||||||
\(410\) | 9.01327 | + | 9.01327i | 0.445134 | + | 0.445134i | ||||
\(411\) | −11.5559 | − | 1.43156i | −0.570011 | − | 0.0706135i | ||||
\(412\) | −1.85641 | −0.0914586 | ||||||||
\(413\) | −4.25953 | −0.209598 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | − | 6.19615i | − | 0.304157i | ||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 25.1244 | − | 19.5856i | 1.23034 | − | 0.959113i | ||||
\(418\) | 16.9282 | + | 16.9282i | 0.827985 | + | 0.827985i | ||||
\(419\) | 9.50749i | 0.464471i | 0.972660 | + | 0.232236i | \(0.0746040\pi\) | ||||
−0.972660 | + | 0.232236i | \(0.925396\pi\) | |||||||
\(420\) | 0.779548 | − | 0.607695i | 0.0380380 | − | 0.0296525i | ||||
\(421\) | 7.83013 | + | 7.83013i | 0.381617 | + | 0.381617i | 0.871685 | − | 0.490067i | \(-0.163028\pi\) |
−0.490067 | + | 0.871685i | \(0.663028\pi\) | |||||||
\(422\) | −1.92089 | + | 1.92089i | −0.0935072 | + | 0.0935072i | ||||
\(423\) | −15.5105 | + | 9.27411i | −0.754146 | + | 0.450923i | ||||
\(424\) | −1.43782 | + | 1.43782i | −0.0698268 | + | 0.0698268i | ||||
\(425\) | 13.7670i | 0.667798i | ||||||||
\(426\) | 4.83020 | + | 6.19615i | 0.234024 | + | 0.300205i | ||||
\(427\) | 7.00000 | − | 7.00000i | 0.338754 | − | 0.338754i | ||||
\(428\) | −5.09505 | −0.246278 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −4.98076 | −0.240194 | ||||||||
\(431\) | 26.7545 | − | 26.7545i | 1.28872 | − | 1.28872i | 0.353152 | − | 0.935566i | \(-0.385110\pi\) |
0.935566 | − | 0.353152i | \(-0.114890\pi\) | |||||||
\(432\) | −9.36603 | − | 21.2212i | −0.450623 | − | 1.02101i | ||||
\(433\) | 31.0526i | 1.49229i | 0.665783 | + | 0.746145i | \(0.268098\pi\) | ||||
−0.665783 | + | 0.746145i | \(0.731902\pi\) | |||||||
\(434\) | −5.24796 | + | 5.24796i | −0.251910 | + | 0.251910i | ||||
\(435\) | 18.5575 | + | 2.29892i | 0.889763 | + | 0.110225i | ||||
\(436\) | 3.53590 | − | 3.53590i | 0.169339 | − | 0.169339i | ||||
\(437\) | 0 | 0 | ||||||||
\(438\) | −2.04552 | − | 2.62398i | −0.0977386 | − | 0.125379i | ||||
\(439\) | 1.26795i | 0.0605159i | 0.999542 | + | 0.0302580i | \(0.00963288\pi\) | ||||
−0.999542 | + | 0.0302580i | \(0.990367\pi\) | |||||||
\(440\) | −11.4284 | − | 11.4284i | −0.544826 | − | 0.544826i | ||||
\(441\) | 14.5466 | + | 3.66025i | 0.692694 | + | 0.174298i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 11.2195i | 0.533054i | 0.963827 | + | 0.266527i | \(0.0858762\pi\) | ||||
−0.963827 | + | 0.266527i | \(0.914124\pi\) | |||||||
\(444\) | 2.49479 | + | 0.309057i | 0.118398 | + | 0.0146672i | ||||
\(445\) | −14.0526 | −0.666155 | ||||||||
\(446\) | −39.0184 | −1.84757 | ||||||||
\(447\) | 1.83816 | − | 14.8382i | 0.0869422 | − | 0.701821i | ||||
\(448\) | −6.66025 | − | 6.66025i | −0.314667 | − | 0.314667i | ||||
\(449\) | 14.5466 | + | 14.5466i | 0.686495 | + | 0.686495i | 0.961455 | − | 0.274961i | \(-0.0886648\pi\) |
−0.274961 | + | 0.961455i | \(0.588665\pi\) | |||||||
\(450\) | 10.5939 | − | 6.33434i | 0.499400 | − | 0.298603i | ||||
\(451\) | 23.1244 | 1.08888 | ||||||||
\(452\) | −2.75640 | −0.129650 | ||||||||
\(453\) | −0.161382 | + | 1.30272i | −0.00758239 | + | 0.0612071i | ||||
\(454\) | − | 30.5359i | − | 1.43312i | ||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −10.7321 | − | 13.7670i | −0.502574 | − | 0.644700i | ||||
\(457\) | 2.75833 | + | 2.75833i | 0.129029 | + | 0.129029i | 0.768672 | − | 0.639643i | \(-0.220918\pi\) |
−0.639643 | + | 0.768672i | \(0.720918\pi\) | |||||||
\(458\) | − | 30.0816i | − | 1.40562i | ||||||
\(459\) | −10.5724 | − | 23.9545i | −0.493476 | − | 1.11810i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −15.0408 | + | 15.0408i | −0.700519 | + | 0.700519i | −0.964522 | − | 0.264003i | \(-0.914957\pi\) |
0.264003 | + | 0.964522i | \(0.414957\pi\) | |||||||
\(462\) | 1.86593 | − | 15.0623i | 0.0868108 | − | 0.700760i | ||||
\(463\) | −23.0526 | + | 23.0526i | −1.07134 | + | 1.07134i | −0.0740918 | + | 0.997251i | \(0.523606\pi\) |
−0.997251 | + | 0.0740918i | \(0.976394\pi\) | |||||||
\(464\) | 32.0024i | 1.48568i | ||||||||
\(465\) | 7.16884 | − | 5.58846i | 0.332447 | − | 0.259159i | ||||
\(466\) | −18.5885 | + | 18.5885i | −0.861094 | + | 0.861094i | ||||
\(467\) | 19.1679 | 0.886984 | 0.443492 | − | 0.896278i | \(-0.353739\pi\) | ||||
0.443492 | + | 0.896278i | \(0.353739\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −8.39230 | −0.387521 | ||||||||
\(470\) | −9.66040 | + | 9.66040i | −0.445601 | + | 0.445601i | ||||
\(471\) | −6.56218 | + | 5.11553i | −0.302369 | + | 0.235711i | ||||
\(472\) | 7.85641i | 0.361620i | ||||||||
\(473\) | −6.38929 | + | 6.38929i | −0.293780 | + | 0.293780i | ||||
\(474\) | 0.641364 | − | 5.17726i | 0.0294588 | − | 0.237800i | ||||
\(475\) | 7.46410 | − | 7.46410i | 0.342476 | − | 0.342476i | ||||
\(476\) | 1.35022 | + | 1.35022i | 0.0618871 | + | 0.0618871i | ||||
\(477\) | 2.26795 | + | 0.570669i | 0.103842 | + | 0.0261291i | ||||
\(478\) | − | 14.0526i | − | 0.642749i | ||||||
\(479\) | 14.5466 | + | 14.5466i | 0.664649 | + | 0.664649i | 0.956472 | − | 0.291823i | \(-0.0942618\pi\) |
−0.291823 | + | 0.956472i | \(0.594262\pi\) | |||||||
\(480\) | −2.41510 | − | 3.09808i | −0.110234 | − | 0.141407i | ||||
\(481\) | 0 | 0 | ||||||||
\(482\) | 21.9243i | 0.998624i | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 1.58846 | 0.0722026 | ||||||||
\(485\) | 2.54752 | 0.115677 | ||||||||
\(486\) | −13.5688 | + | 19.1572i | −0.615492 | + | 0.868990i | ||||
\(487\) | 4.07180 | + | 4.07180i | 0.184511 | + | 0.184511i | 0.793318 | − | 0.608807i | \(-0.208352\pi\) |
−0.608807 | + | 0.793318i | \(0.708352\pi\) | |||||||
\(488\) | −12.9110 | − | 12.9110i | −0.584454 | − | 0.584454i | ||||
\(489\) | 0.881808 | − | 7.11819i | 0.0398767 | − | 0.321896i | ||||
\(490\) | 11.3397 | 0.512278 | ||||||||
\(491\) | 28.5225 | 1.28720 | 0.643600 | − | 0.765362i | \(-0.277440\pi\) | ||||
0.643600 | + | 0.765362i | \(0.277440\pi\) | |||||||
\(492\) | 2.58863 | + | 0.320682i | 0.116705 | + | 0.0144575i | ||||
\(493\) | 36.1244i | 1.62696i | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −4.53590 | + | 18.0265i | −0.203873 | + | 0.810233i | ||||
\(496\) | 11.0000 | + | 11.0000i | 0.493915 | + | 0.493915i | ||||
\(497\) | − | 4.25953i | − | 0.191066i | ||||||
\(498\) | −6.59817 | − | 8.46410i | −0.295671 | − | 0.379285i | ||||
\(499\) | 2.46410 | + | 2.46410i | 0.110308 | + | 0.110308i | 0.760107 | − | 0.649798i | \(-0.225147\pi\) |
−0.649798 | + | 0.760107i | \(0.725147\pi\) | |||||||
\(500\) | 2.20622 | − | 2.20622i | 0.0986652 | − | 0.0986652i | ||||
\(501\) | 23.1118 | + | 2.86311i | 1.03256 | + | 0.127914i | ||||
\(502\) | 1.05256 | − | 1.05256i | 0.0469780 | − | 0.0469780i | ||||
\(503\) | − | 3.27110i | − | 0.145851i | −0.997337 | − | 0.0729256i | \(-0.976766\pi\) | ||
0.997337 | − | 0.0729256i | \(-0.0232336\pi\) | |||||||
\(504\) | −2.70043 | + | 10.7321i | −0.120287 | + | 0.478044i | ||||
\(505\) | −6.41858 | + | 6.41858i | −0.285623 | + | 0.285623i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 2.44486 | 0.108473 | ||||||||
\(509\) | −10.3635 | + | 10.3635i | −0.459354 | + | 0.459354i | −0.898443 | − | 0.439090i | \(-0.855301\pi\) |
0.439090 | + | 0.898443i | \(0.355301\pi\) | |||||||
\(510\) | −12.1699 | − | 15.6114i | −0.538891 | − | 0.691286i | ||||
\(511\) | 1.80385i | 0.0797975i | ||||||||
\(512\) | −11.7137 | + | 11.7137i | −0.517678 | + | 0.517678i | ||||
\(513\) | −7.25542 | + | 18.7195i | −0.320335 | + | 0.826487i | ||||
\(514\) | 22.9019 | − | 22.9019i | 1.01016 | − | 1.01016i | ||||
\(515\) | −7.37772 | − | 7.37772i | −0.325101 | − | 0.325101i | ||||
\(516\) | −0.803848 | + | 0.626638i | −0.0353874 | + | 0.0275862i | ||||
\(517\) | 24.7846i | 1.09003i | ||||||||
\(518\) | −8.15727 | − | 8.15727i | −0.358410 | − | 0.358410i | ||||
\(519\) | −23.8452 | + | 18.5885i | −1.04669 | + | 0.815943i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 2.49155i | 0.109157i | 0.998509 | + | 0.0545785i | \(0.0173815\pi\) | ||||
−0.998509 | + | 0.0545785i | \(0.982618\pi\) | |||||||
\(522\) | 27.7981 | − | 16.6212i | 1.21669 | − | 0.727489i | ||||
\(523\) | −38.9808 | −1.70451 | −0.852255 | − | 0.523127i | \(-0.824765\pi\) | ||||
−0.852255 | + | 0.523127i | \(0.824765\pi\) | |||||||
\(524\) | −2.12976 | −0.0930392 | ||||||||
\(525\) | −6.64136 | − | 0.822738i | −0.289853 | − | 0.0359072i | ||||
\(526\) | 23.7321 | + | 23.7321i | 1.03477 | + | 1.03477i | ||||
\(527\) | 12.4168 | + | 12.4168i | 0.540884 | + | 0.540884i | ||||
\(528\) | −31.5713 | − | 3.91108i | −1.37397 | − | 0.170208i | ||||
\(529\) | −23.0000 | −1.00000 | ||||||||
\(530\) | 1.76798 | 0.0767959 | ||||||||
\(531\) | 7.75525 | − | 4.63706i | 0.336549 | − | 0.201231i | ||||
\(532\) | − | 1.46410i | − | 0.0634769i | ||||||
\(533\) | 0 | 0 | ||||||||
\(534\) | −19.1962 | + | 14.9643i | −0.830699 | + | 0.647570i | ||||
\(535\) | −20.2487 | − | 20.2487i | −0.875428 | − | 0.875428i | ||||
\(536\) | 15.4790i | 0.668592i | ||||||||
\(537\) | −36.2620 | + | 28.2679i | −1.56482 | + | 1.21985i | ||||
\(538\) | −15.2679 | − | 15.2679i | −0.658248 | − | 0.658248i | ||||
\(539\) | 14.5466 | − | 14.5466i | 0.626565 | − | 0.626565i | ||||
\(540\) | −0.757753 | + | 1.95506i | −0.0326085 | + | 0.0841324i | ||||
\(541\) | 12.6865 | − | 12.6865i | 0.545437 | − | 0.545437i | −0.379681 | − | 0.925118i | \(-0.623966\pi\) |
0.925118 | + | 0.379681i | \(0.123966\pi\) | |||||||
\(542\) | − | 11.6373i | − | 0.499863i | ||||||
\(543\) | −3.19465 | − | 4.09808i | −0.137095 | − | 0.175865i | ||||
\(544\) | 5.36603 | − | 5.36603i | 0.230066 | − | 0.230066i | ||||
\(545\) | 28.1047 | 1.20387 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 2.00000 | 0.0855138 | 0.0427569 | − | 0.999086i | \(-0.486386\pi\) | ||||
0.0427569 | + | 0.999086i | \(0.486386\pi\) | |||||||
\(548\) | −1.27376 | + | 1.27376i | −0.0544124 | + | 0.0544124i | ||||
\(549\) | −5.12436 | + | 20.3652i | −0.218702 | + | 0.869165i | ||||
\(550\) | − | 16.9282i | − | 0.721821i | ||||||
\(551\) | 19.5856 | − | 19.5856i | 0.834376 | − | 0.834376i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −2.00000 | + | 2.00000i | −0.0850487 | + | 0.0850487i | ||||
\(554\) | −29.3785 | − | 29.3785i | −1.24817 | − | 1.24817i | ||||
\(555\) | 8.68653 | + | 11.1430i | 0.368723 | + | 0.472996i | ||||
\(556\) | − | 4.92820i | − | 0.209002i | ||||||
\(557\) | 18.1030 | + | 18.1030i | 0.767049 | + | 0.767049i | 0.977586 | − | 0.210537i | \(-0.0675213\pi\) |
−0.210537 | + | 0.977586i | \(0.567521\pi\) | |||||||
\(558\) | 3.84177 | − | 15.2679i | 0.162635 | − | 0.646344i | ||||
\(559\) | 0 | 0 | ||||||||
\(560\) | 9.50749i | 0.401765i | ||||||||
\(561\) | −35.6377 | − | 4.41483i | −1.50463 | − | 0.186394i | ||||
\(562\) | −25.8372 | −1.08988 | ||||||||
\(563\) | 10.0782 | 0.424744 | 0.212372 | − | 0.977189i | \(-0.431881\pi\) | ||||
0.212372 | + | 0.977189i | \(0.431881\pi\) | |||||||
\(564\) | −0.343706 | + | 2.77449i | −0.0144726 | + | 0.116827i | ||||
\(565\) | −10.9545 | − | 10.9545i | −0.460859 | − | 0.460859i | ||||
\(566\) | −7.01593 | − | 7.01593i | −0.294902 | − | 0.294902i | ||||
\(567\) | 12.1877 | − | 3.66867i | 0.511837 | − | 0.154070i | ||||
\(568\) | −7.85641 | −0.329647 | ||||||||
\(569\) | 2.70043 | 0.113208 | 0.0566040 | − | 0.998397i | \(-0.481973\pi\) | ||||
0.0566040 | + | 0.998397i | \(0.481973\pi\) | |||||||
\(570\) | −1.86593 | + | 15.0623i | −0.0781551 | + | 0.630889i | ||||
\(571\) | − | 1.94744i | − | 0.0814979i | −0.999169 | − | 0.0407489i | \(-0.987026\pi\) | ||
0.999169 | − | 0.0407489i | \(-0.0129744\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 5.14359 | + | 6.59817i | 0.214877 | + | 0.275643i | ||||
\(574\) | −8.46410 | − | 8.46410i | −0.353285 | − | 0.353285i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 19.3768 | + | 4.87564i | 0.807365 | + | 0.203152i | ||||
\(577\) | 22.4904 | + | 22.4904i | 0.936287 | + | 0.936287i | 0.998088 | − | 0.0618016i | \(-0.0196846\pi\) |
−0.0618016 | + | 0.998088i | \(0.519685\pi\) | |||||||
\(578\) | 8.93682 | − | 8.93682i | 0.371723 | − | 0.371723i | ||||
\(579\) | 0.0295350 | − | 0.238414i | 0.00122743 | − | 0.00990816i | ||||
\(580\) | 2.04552 | − | 2.04552i | 0.0849355 | − | 0.0849355i | ||||
\(581\) | 5.81863i | 0.241397i | ||||||||
\(582\) | 3.47998 | − | 2.71281i | 0.144250 | − | 0.112450i | ||||
\(583\) | 2.26795 | − | 2.26795i | 0.0939289 | − | 0.0939289i | ||||
\(584\) | 3.32707 | 0.137675 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 2.71281 | 0.112065 | ||||||||
\(587\) | −13.1963 | + | 13.1963i | −0.544672 | + | 0.544672i | −0.924895 | − | 0.380223i | \(-0.875847\pi\) |
0.380223 | + | 0.924895i | \(0.375847\pi\) | |||||||
\(588\) | 1.83013 | − | 1.42667i | 0.0754732 | − | 0.0588350i | ||||
\(589\) | − | 13.4641i | − | 0.554779i | ||||||
\(590\) | 4.83020 | − | 4.83020i | 0.198856 | − | 0.198856i | ||||
\(591\) | 0.876119 | − | 7.07227i | 0.0360387 | − | 0.290914i | ||||
\(592\) | −17.0981 | + | 17.0981i | −0.702727 | + | 0.702727i | ||||
\(593\) | 10.3635 | + | 10.3635i | 0.425578 | + | 0.425578i | 0.887119 | − | 0.461541i | \(-0.152703\pi\) |
−0.461541 | + | 0.887119i | \(0.652703\pi\) | |||||||
\(594\) | 13.0000 | + | 29.4549i | 0.533396 | + | 1.20855i | ||||
\(595\) | 10.7321i | 0.439971i | ||||||||
\(596\) | −1.63555 | − | 1.63555i | −0.0669948 | − | 0.0669948i | ||||
\(597\) | −13.7670 | − | 17.6603i | −0.563446 | − | 0.722786i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | − | 20.7270i | − | 0.846881i | −0.905924 | − | 0.423441i | \(-0.860822\pi\) | ||
0.905924 | − | 0.423441i | \(-0.139178\pi\) | |||||||
\(600\) | −1.51748 | + | 12.2495i | −0.0619510 | + | 0.500085i | ||||
\(601\) | 23.5885 | 0.962193 | 0.481097 | − | 0.876668i | \(-0.340239\pi\) | ||||
0.481097 | + | 0.876668i | \(0.340239\pi\) | |||||||
\(602\) | 4.67729 | 0.190632 | ||||||||
\(603\) | 15.2797 | − | 9.13612i | 0.622238 | − | 0.372052i | ||||
\(604\) | 0.143594 | + | 0.143594i | 0.00584274 | + | 0.00584274i | ||||
\(605\) | 6.31284 | + | 6.31284i | 0.256653 | + | 0.256653i | ||||
\(606\) | −1.93291 | + | 15.6030i | −0.0785192 | + | 0.633828i | ||||
\(607\) | −0.196152 | −0.00796158 | −0.00398079 | − | 0.999992i | \(-0.501267\pi\) | ||||
−0.00398079 | + | 0.999992i | \(0.501267\pi\) | |||||||
\(608\) | −5.81863 | −0.235976 | ||||||||
\(609\) | −17.4268 | − | 2.15885i | −0.706169 | − | 0.0874809i | ||||
\(610\) | 15.8756i | 0.642786i | ||||||||
\(611\) | 0 | 0 | ||||||||
\(612\) | −3.92820 | − | 0.988427i | −0.158788 | − | 0.0399548i | ||||
\(613\) | 31.0263 | + | 31.0263i | 1.25314 | + | 1.25314i | 0.954305 | + | 0.298835i | \(0.0965979\pi\) |
0.298835 | + | 0.954305i | \(0.403402\pi\) | |||||||
\(614\) | 17.8736i | 0.721321i | ||||||||
\(615\) | 9.01327 | + | 11.5622i | 0.363450 | + | 0.466232i | ||||
\(616\) | 10.7321 | + | 10.7321i | 0.432407 | + | 0.432407i | ||||
\(617\) | −13.0639 | + | 13.0639i | −0.525934 | + | 0.525934i | −0.919357 | − | 0.393424i | \(-0.871291\pi\) |
0.393424 | + | 0.919357i | \(0.371291\pi\) | |||||||
\(618\) | −17.9346 | − | 2.22175i | −0.721434 | − | 0.0893719i | ||||
\(619\) | 31.6603 | − | 31.6603i | 1.27253 | − | 1.27253i | 0.327778 | − | 0.944755i | \(-0.393700\pi\) |
0.944755 | − | 0.327778i | \(-0.106300\pi\) | |||||||
\(620\) | − | 1.40619i | − | 0.0564738i | ||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −10.7321 | + | 10.7321i | −0.430316 | + | 0.430316i | ||||
\(623\) | 13.1963 | 0.528701 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 3.87564 | 0.155026 | ||||||||
\(626\) | 2.12976 | − | 2.12976i | 0.0851225 | − | 0.0851225i | ||||
\(627\) | 16.9282 | + | 21.7154i | 0.676047 | + | 0.867230i | ||||
\(628\) | 1.28719i | 0.0513644i | ||||||||
\(629\) | −19.3003 | + | 19.3003i | −0.769554 | + | 0.769554i | ||||
\(630\) | 8.25843 | − | 4.93792i | 0.329024 | − | 0.196731i | ||||
\(631\) | −15.6603 | + | 15.6603i | −0.623425 | + | 0.623425i | −0.946406 | − | 0.322981i | \(-0.895315\pi\) |
0.322981 | + | 0.946406i | \(0.395315\pi\) | |||||||
\(632\) | 3.68886 | + | 3.68886i | 0.146735 | + | 0.146735i | ||||
\(633\) | −2.46410 | + | 1.92089i | −0.0979392 | + | 0.0763483i | ||||
\(634\) | 24.1769i | 0.960188i | ||||||||
\(635\) | 9.71637 | + | 9.71637i | 0.385582 | + | 0.385582i | ||||
\(636\) | 0.285334 | − | 0.222432i | 0.0113142 | − | 0.00882000i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | − | 44.4192i | − | 1.75857i | ||||||
\(639\) | 4.63706 | + | 7.75525i | 0.183439 | + | 0.306793i | ||||
\(640\) | 19.6410 | 0.776379 | ||||||||
\(641\) | −45.3517 | −1.79128 | −0.895642 | − | 0.444775i | \(-0.853284\pi\) | ||||
−0.895642 | + | 0.444775i | \(0.853284\pi\) | |||||||
\(642\) | −49.2228 | − | 6.09776i | −1.94267 | − | 0.240659i | ||||
\(643\) | 5.12436 | + | 5.12436i | 0.202085 | + | 0.202085i | 0.800893 | − | 0.598808i | \(-0.204359\pi\) |
−0.598808 | + | 0.800893i | \(0.704359\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −5.68503 | − | 0.704266i | −0.223848 | − | 0.0277305i | ||||
\(646\) | −29.3205 | −1.15360 | ||||||||
\(647\) | 16.4675 | 0.647402 | 0.323701 | − | 0.946159i | \(-0.395073\pi\) | ||||
0.323701 | + | 0.946159i | \(0.395073\pi\) | |||||||
\(648\) | −6.76661 | − | 22.4794i | −0.265818 | − | 0.883075i | ||||
\(649\) | − | 12.3923i | − | 0.486441i | ||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −6.73205 | + | 5.24796i | −0.263850 | + | 0.205684i | ||||
\(652\) | −0.784610 | − | 0.784610i | −0.0307277 | − | 0.0307277i | ||||
\(653\) | − | 9.66040i | − | 0.378041i | −0.981973 | − | 0.189020i | \(-0.939469\pi\) | ||
0.981973 | − | 0.189020i | \(-0.0605312\pi\) | |||||||
\(654\) | 38.3917 | − | 29.9282i | 1.50124 | − | 1.17029i | ||||
\(655\) | −8.46410 | − | 8.46410i | −0.330720 | − | 0.330720i | ||||
\(656\) | −17.7412 | + | 17.7412i | −0.692678 | + | 0.692678i | ||||
\(657\) | −1.96372 | − | 3.28423i | −0.0766122 | − | 0.128130i | ||||
\(658\) | 9.07180 | − | 9.07180i | 0.353655 | − | 0.353655i | ||||
\(659\) | − | 27.1163i | − | 1.05630i | −0.849151 | − | 0.528150i | \(-0.822886\pi\) | ||
0.849151 | − | 0.528150i | \(-0.177114\pi\) | |||||||
\(660\) | 1.76798 | + | 2.26795i | 0.0688183 | + | 0.0882798i | ||||
\(661\) | 6.90192 | − | 6.90192i | 0.268454 | − | 0.268454i | −0.560023 | − | 0.828477i | \(-0.689208\pi\) |
0.828477 | + | 0.560023i | \(0.189208\pi\) | |||||||
\(662\) | −51.5321 | −2.00285 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 10.7321 | 0.416484 | ||||||||
\(665\) | 5.81863 | − | 5.81863i | 0.225637 | − | 0.225637i | ||||
\(666\) | 23.7321 | + | 5.97154i | 0.919598 | + | 0.231392i | ||||
\(667\) | 0 | 0 | ||||||||
\(668\) | 2.54752 | − | 2.54752i | 0.0985666 | − | 0.0985666i | ||||
\(669\) | −44.5355 | − | 5.51709i | −1.72184 | − | 0.213303i | ||||
\(670\) | 9.51666 | − | 9.51666i | 0.367661 | − | 0.367661i | ||||
\(671\) | 20.3652 | + | 20.3652i | 0.786189 | + | 0.786189i | ||||
\(672\) | 2.26795 | + | 2.90931i | 0.0874880 | + | 0.112229i | ||||
\(673\) | − | 42.7128i | − | 1.64646i | −0.567709 | − | 0.823229i | \(-0.692170\pi\) | ||
0.567709 | − | 0.823229i | \(-0.307830\pi\) | |||||||
\(674\) | 19.6621 | + | 19.6621i | 0.757356 | + | 0.757356i | ||||
\(675\) | 12.9875 | − | 5.73205i | 0.499888 | − | 0.220627i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | − | 9.66040i | − | 0.371279i | −0.982618 | − | 0.185640i | \(-0.940564\pi\) | ||
0.982618 | − | 0.185640i | \(-0.0594357\pi\) | |||||||
\(678\) | −26.6293 | − | 3.29887i | −1.02269 | − | 0.126692i | ||||
\(679\) | −2.39230 | −0.0918082 | ||||||||
\(680\) | 19.7945 | 0.759085 | ||||||||
\(681\) | 4.31769 | − | 34.8536i | 0.165454 | − | 1.33559i | ||||
\(682\) | −15.2679 | − | 15.2679i | −0.584640 | − | 0.584640i | ||||
\(683\) | −33.1438 | − | 33.1438i | −1.26821 | − | 1.26821i | −0.947011 | − | 0.321200i | \(-0.895914\pi\) |
−0.321200 | − | 0.947011i | \(-0.604086\pi\) | |||||||
\(684\) | 1.59387 | + | 2.66566i | 0.0609430 | + | 0.101924i | ||||
\(685\) | −10.1244 | −0.386832 | ||||||||
\(686\) | −25.5572 | −0.975778 | ||||||||
\(687\) | 4.25345 | − | 34.3350i | 0.162279 | − | 1.30996i | ||||
\(688\) | − | 9.80385i | − | 0.373768i | ||||||
\(689\) | 0 | 0 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −13.3397 | − | 13.3397i | −0.507468 | − | 0.507468i | 0.406281 | − | 0.913748i | \(-0.366826\pi\) |
−0.913748 | + | 0.406281i | \(0.866826\pi\) | |||||||
\(692\) | 4.67729i | 0.177804i | ||||||||
\(693\) | 4.25953 | − | 16.9282i | 0.161806 | − | 0.643049i | ||||
\(694\) | 21.9090 | + | 21.9090i | 0.831653 | + | 0.831653i | ||||
\(695\) | 19.5856 | − | 19.5856i | 0.742926 | − | 0.742926i | ||||
\(696\) | −3.98184 | + | 32.1425i | −0.150931 | + | 1.21836i | ||||
\(697\) | −20.0263 | + | 20.0263i | −0.758549 | + | 0.758549i | ||||
\(698\) | − | 42.8601i | − | 1.62228i | ||||||
\(699\) | −23.8452 | + | 18.5885i | −0.901907 | + | 0.703080i | ||||
\(700\) | −0.732051 | + | 0.732051i | −0.0276689 | + | 0.0276689i | ||||
\(701\) | −12.7786 | −0.482641 | −0.241320 | − | 0.970446i | \(-0.577580\pi\) | ||||
−0.241320 | + | 0.970446i | \(0.577580\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 20.9282 | 0.789322 | ||||||||
\(704\) | 19.3768 | − | 19.3768i | 0.730289 | − | 0.730289i | ||||
\(705\) | −12.3923 | + | 9.66040i | −0.466721 | + | 0.363832i | ||||
\(706\) | 21.3013i | 0.801684i | ||||||||
\(707\) | 6.02751 | − | 6.02751i | 0.226688 | − | 0.226688i | ||||
\(708\) | 0.171853 | − | 1.38724i | 0.00645863 | − | 0.0521358i | ||||
\(709\) | 8.29423 | − | 8.29423i | 0.311496 | − | 0.311496i | −0.533993 | − | 0.845489i | \(-0.679309\pi\) |
0.845489 | + | 0.533993i | \(0.179309\pi\) | |||||||
\(710\) | 4.83020 | + | 4.83020i | 0.181274 | + | 0.181274i | ||||
\(711\) | 1.46410 | − | 5.81863i | 0.0549081 | − | 0.218216i | ||||
\(712\) | − | 24.3397i | − | 0.912171i | ||||||
\(713\) | 0 | 0 | ||||||||
\(714\) | 11.4284 | + | 14.6603i | 0.427696 | + | 0.548646i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 7.11287i | 0.265821i | ||||||||
\(717\) | 1.98699 | − | 16.0396i | 0.0742056 | − | 0.599008i | ||||
\(718\) | 38.8372 | 1.44939 | ||||||||
\(719\) | 7.37772 | 0.275143 | 0.137571 | − | 0.990492i | \(-0.456070\pi\) | ||||
0.137571 | + | 0.990492i | \(0.456070\pi\) | |||||||
\(720\) | −10.3501 | − | 17.3101i | −0.385727 | − | 0.645110i | ||||
\(721\) | 6.92820 | + | 6.92820i | 0.258020 | + | 0.258020i | ||||
\(722\) | −4.33598 | − | 4.33598i | −0.161369 | − | 0.161369i | ||||
\(723\) | −3.10003 | + | 25.0243i | −0.115292 | + | 0.930665i | ||||
\(724\) | −0.803848 | −0.0298748 | ||||||||
\(725\) | −19.5856 | −0.727392 | ||||||||
\(726\) | 15.3459 | + | 1.90107i | 0.569541 | + | 0.0705552i | ||||
\(727\) | 19.5167i | 0.723833i | 0.932211 | + | 0.361916i | \(0.117877\pi\) | ||||
−0.932211 | + | 0.361916i | \(0.882123\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −18.1962 | + | 19.9474i | −0.673932 | + | 0.738794i | ||||
\(730\) | −2.04552 | − | 2.04552i | −0.0757080 | − | 0.0757080i | ||||
\(731\) | − | 11.0666i | − | 0.409312i | ||||||
\(732\) | 1.99734 | + | 2.56218i | 0.0738238 | + | 0.0947008i | ||||
\(733\) | 6.77757 | + | 6.77757i | 0.250335 | + | 0.250335i | 0.821108 | − | 0.570773i | \(-0.193356\pi\) |
−0.570773 | + | 0.821108i | \(0.693356\pi\) | |||||||
\(734\) | 32.3642 | − | 32.3642i | 1.19459 | − | 1.19459i | ||||
\(735\) | 12.9432 | + | 1.60341i | 0.477415 | + | 0.0591426i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | − | 24.4158i | − | 0.899369i | ||||||
\(738\) | 24.6247 | + | 6.19615i | 0.906448 | + | 0.228084i | ||||
\(739\) | −8.14359 | + | 8.14359i | −0.299567 | + | 0.299567i | −0.840844 | − | 0.541277i | \(-0.817941\pi\) |
0.541277 | + | 0.840844i | \(0.317941\pi\) | |||||||
\(740\) | 2.18573 | 0.0803492 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −1.66025 | −0.0609498 | ||||||||
\(743\) | 6.23638 | − | 6.23638i | 0.228791 | − | 0.228791i | −0.583397 | − | 0.812187i | \(-0.698277\pi\) |
0.812187 | + | 0.583397i | \(0.198277\pi\) | |||||||
\(744\) | 9.67949 | + | 12.4168i | 0.354867 | + | 0.455222i | ||||
\(745\) | − | 13.0000i | − | 0.476283i | ||||||
\(746\) | 12.3403 | − | 12.3403i | 0.451812 | − | 0.451812i | ||||
\(747\) | −6.33434 | − | 10.5939i | −0.231761 | − | 0.387609i | ||||
\(748\) | −3.92820 | + | 3.92820i | −0.143629 | + | 0.143629i | ||||
\(749\) | 19.0150 | + | 19.0150i | 0.694792 | + | 0.694792i | ||||
\(750\) | 23.9545 | − | 18.6737i | 0.874694 | − | 0.681866i | ||||
\(751\) | − | 33.8038i | − | 1.23352i | −0.787151 | − | 0.616760i | \(-0.788445\pi\) | ||
0.787151 | − | 0.616760i | \(-0.211555\pi\) | |||||||
\(752\) | −19.0150 | − | 19.0150i | −0.693405 | − | 0.693405i | ||||
\(753\) | 1.35022 | − | 1.05256i | 0.0492046 | − | 0.0383574i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 1.14134i | 0.0415375i | ||||||||
\(756\) | 0.711584 | − | 1.83594i | 0.0258801 | − | 0.0667725i | ||||
\(757\) | 16.7846 | 0.610047 | 0.305024 | − | 0.952345i | \(-0.401336\pi\) | ||||
0.305024 | + | 0.952345i | \(0.401336\pi\) | |||||||
\(758\) | −22.2861 | −0.809467 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −10.7321 | − | 10.7321i | −0.389292 | − | 0.389292i | ||||
\(761\) | −12.9875 | − | 12.9875i | −0.470795 | − | 0.470795i | 0.431377 | − | 0.902172i | \(-0.358028\pi\) |
−0.902172 | + | 0.431377i | \(0.858028\pi\) | |||||||
\(762\) | 23.6196 | + | 2.92602i | 0.855647 | + | 0.105998i | ||||
\(763\) | −26.3923 | −0.955466 | ||||||||
\(764\) | 1.29425 | 0.0468242 | ||||||||
\(765\) | −11.6832 | − | 19.5397i | −0.422409 | − | 0.706458i | ||||
\(766\) | 49.5692i | 1.79101i | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | 8.63397 | − | 6.73060i | 0.311552 | − | 0.242870i | ||||
\(769\) | 29.5885 | + | 29.5885i | 1.06699 | + | 1.06699i | 0.997589 | + | 0.0693980i | \(0.0221078\pi\) |
0.0693980 | + | 0.997589i | \(0.477892\pi\) | |||||||
\(770\) | − | 13.1963i | − | 0.475563i | ||||||
\(771\) | 29.3785 | − | 22.9019i | 1.05804 | − | 0.824793i | ||||
\(772\) | −0.0262794 | − | 0.0262794i | −0.000945818 | − | 0.000945818i | ||||
\(773\) | 30.4433 | − | 30.4433i | 1.09497 | − | 1.09497i | 0.0999818 | − | 0.994989i | \(-0.468122\pi\) |
0.994989 | − | 0.0999818i | \(-0.0318785\pi\) | |||||||
\(774\) | −8.51585 | + | 5.09184i | −0.306096 | + | 0.183022i | ||||
\(775\) | −6.73205 | + | 6.73205i | −0.241822 | + | 0.241822i | ||||
\(776\) | 4.41244i | 0.158397i | ||||||||
\(777\) | −8.15727 | − | 10.4641i | −0.292640 | − | 0.375398i | ||||
\(778\) | −23.9545 | + | 23.9545i | −0.858810 | + | 0.858810i | ||||
\(779\) | 21.7154 | 0.778035 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 12.3923 | 0.443432 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 34.0788 | − | 15.0408i | 1.21788 | − | 0.537514i | ||||
\(784\) | 22.3205i | 0.797161i | ||||||||
\(785\) | −5.11553 | + | 5.11553i | −0.182581 | + | 0.182581i | ||||
\(786\) | −20.5755 | − | 2.54890i | −0.733902 | − | 0.0909164i | ||||
\(787\) | −11.7321 | + | 11.7321i | −0.418202 | + | 0.418202i | −0.884584 | − | 0.466381i | \(-0.845557\pi\) |
0.466381 | + | 0.884584i | \(0.345557\pi\) | |||||||
\(788\) | −0.779548 | − | 0.779548i | −0.0277702 | − | 0.0277702i | ||||
\(789\) | 23.7321 | + | 30.4433i | 0.844883 | + | 1.08381i | ||||
\(790\) | − | 4.53590i | − | 0.161380i | ||||||
\(791\) | 10.2870 | + | 10.2870i | 0.365765 | + | 0.365765i | ||||
\(792\) | −31.2229 | − | 7.85641i | −1.10946 | − | 0.279165i | ||||
\(793\) | 0 | 0 | ||||||||
\(794\) | − | 20.7270i | − | 0.735573i | ||||||
\(795\) | 2.01796 | + | 0.249987i | 0.0715697 | + | 0.00886612i | ||||
\(796\) | −3.46410 | −0.122782 | ||||||||
\(797\) | 40.3126 | 1.42795 | 0.713973 | − | 0.700173i | \(-0.246894\pi\) | ||||
0.713973 | + | 0.700173i | \(0.246894\pi\) | |||||||
\(798\) | 1.75224 | − | 14.1445i | 0.0620286 | − | 0.500711i | ||||
\(799\) | −21.4641 | − | 21.4641i | −0.759345 | − | 0.759345i | ||||
\(800\) | 2.90931 | + | 2.90931i | 0.102860 | + | 0.102860i | ||||
\(801\) | −24.0264 | + | 14.3660i | −0.848929 | + | 0.507596i | ||||
\(802\) | −18.7513 | −0.662131 | ||||||||
\(803\) | −5.24796 | −0.185196 | ||||||||
\(804\) | 0.338592 | − | 2.73320i | 0.0119412 | − | 0.0963927i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −15.2679 | − | 19.5856i | −0.537457 | − | 0.689447i | ||||
\(808\) | −11.1173 | − | 11.1173i | −0.391106 | − | 0.391106i | ||||
\(809\) | − | 27.7429i | − | 0.975389i | −0.873014 | − | 0.487694i | \(-0.837838\pi\) | ||
0.873014 | − | 0.487694i | \(-0.162162\pi\) | |||||||
\(810\) | −9.66040 | + | 17.9808i | −0.339432 | + | 0.631780i | ||||
\(811\) | −19.0000 | − | 19.0000i | −0.667180 | − | 0.667180i | 0.289882 | − | 0.957062i | \(-0.406384\pi\) |
−0.957062 | + | 0.289882i | \(0.906384\pi\) | |||||||
\(812\) | −1.92089 | + | 1.92089i | −0.0674099 | + | 0.0674099i | ||||
\(813\) | 1.64548 | − | 13.2827i | 0.0577094 | − | 0.465846i | ||||
\(814\) | 23.7321 | − | 23.7321i | 0.831808 | − | 0.831808i | ||||
\(815\) | − | 6.23638i | − | 0.218451i | ||||||
\(816\) | 30.7287 | − | 23.9545i | 1.07572 | − | 0.838575i | ||||
\(817\) | −6.00000 | + | 6.00000i | −0.209913 | + | 0.209913i | ||||
\(818\) | 45.1988 | 1.58034 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 2.26795 | 0.0792002 | ||||||||
\(821\) | 30.4433 | − | 30.4433i | 1.06248 | − | 1.06248i | 0.0645667 | − | 0.997913i | \(-0.479433\pi\) |
0.997913 | − | 0.0645667i | \(-0.0205665\pi\) | |||||||
\(822\) | −13.8301 | + | 10.7812i | −0.482381 | + | 0.376039i | ||||
\(823\) | 8.53590i | 0.297543i | 0.988872 | + | 0.148771i | \(0.0475318\pi\) | ||||
−0.988872 | + | 0.148771i | \(0.952468\pi\) | |||||||
\(824\) | 12.7786 | − | 12.7786i | 0.445163 | − | 0.445163i | ||||
\(825\) | 2.39360 | − | 19.3218i | 0.0833345 | − | 0.672699i | ||||
\(826\) | −4.53590 | + | 4.53590i | −0.157824 | + | 0.157824i | ||||
\(827\) | −31.7936 | − | 31.7936i | −1.10557 | − | 1.10557i | −0.993726 | − | 0.111845i | \(-0.964324\pi\) |
−0.111845 | − | 0.993726i | \(-0.535676\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 48.1244i | 1.67143i | 0.549165 | + | 0.835714i | \(0.314946\pi\) | ||||
−0.549165 | + | 0.835714i | \(0.685054\pi\) | |||||||
\(830\) | −6.59817 | − | 6.59817i | −0.229026 | − | 0.229026i | ||||
\(831\) | −29.3785 | − | 37.6865i | −1.01913 | − | 1.30733i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 25.1954i | 0.872968i | ||||||||
\(834\) | 5.89808 | − | 47.6109i | 0.204234 | − | 1.64863i | ||||
\(835\) | 20.2487 | 0.700736 | ||||||||
\(836\) | 4.25953 | 0.147319 | ||||||||
\(837\) | 6.54383 | − | 16.8836i | 0.226188 | − | 0.583582i | ||||
\(838\) | 10.1244 | + | 10.1244i | 0.349740 | + | 0.349740i | ||||
\(839\) | 7.16884 | + | 7.16884i | 0.247496 | + | 0.247496i | 0.819942 | − | 0.572446i | \(-0.194005\pi\) |
−0.572446 | + | 0.819942i | \(0.694005\pi\) | |||||||
\(840\) | −1.18295 | + | 9.54910i | −0.0408157 | + | 0.329475i | ||||
\(841\) | −22.3923 | −0.772148 | ||||||||
\(842\) | 16.6763 | 0.574704 | ||||||||
\(843\) | −29.4905 | − | 3.65331i | −1.01571 | − | 0.125827i | ||||
\(844\) | 0.483340i | 0.0166372i | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −6.64102 | + | 26.3927i | −0.228323 | + | 0.907400i | ||||
\(847\) | −5.92820 | − | 5.92820i | −0.203695 | − | 0.203695i | ||||
\(848\) | 3.47998i | 0.119503i | ||||||||
\(849\) | −7.01593 | − | 9.00000i | −0.240786 | − | 0.308879i | ||||
\(850\) | 14.6603 | + | 14.6603i | 0.502843 | + | 0.502843i | ||||
\(851\) | 0 | 0 | ||||||||
\(852\) | 1.38724 | + | 0.171853i | 0.0475262 | + | 0.00588758i | ||||
\(853\) | 22.3660 | − | 22.3660i | 0.765798 | − | 0.765798i | −0.211566 | − | 0.977364i | \(-0.567856\pi\) |
0.977364 | + | 0.211566i | \(0.0678562\pi\) | |||||||
\(854\) | − | 14.9084i | − | 0.510153i | ||||||
\(855\) | −4.25953 | + | 16.9282i | −0.145673 | + | 0.578932i | ||||
\(856\) | 35.0718 | − | 35.0718i | 1.19873 | − | 1.19873i | ||||
\(857\) | −3.32707 | −0.113651 | −0.0568253 | − | 0.998384i | \(-0.518098\pi\) | ||||
−0.0568253 | + | 0.998384i | \(0.518098\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 39.1769 | 1.33670 | 0.668350 | − | 0.743847i | \(-0.267001\pi\) | ||||
0.668350 | + | 0.743847i | \(0.267001\pi\) | |||||||
\(860\) | −0.626638 | + | 0.626638i | −0.0213682 | + | 0.0213682i | ||||
\(861\) | −8.46410 | − | 10.8577i | −0.288456 | − | 0.370030i | ||||
\(862\) | − | 56.9808i | − | 1.94077i | ||||||
\(863\) | −18.2354 | + | 18.2354i | −0.620741 | + | 0.620741i | −0.945721 | − | 0.324980i | \(-0.894642\pi\) |
0.324980 | + | 0.945721i | \(0.394642\pi\) | |||||||
\(864\) | −7.29638 | − | 2.82797i | −0.248228 | − | 0.0962096i | ||||
\(865\) | −18.5885 | + | 18.5885i | −0.632027 | + | 0.632027i | ||||
\(866\) | 33.0673 | + | 33.0673i | 1.12367 | + | 1.12367i | ||||
\(867\) | 11.4641 | − | 8.93682i | 0.389341 | − | 0.303510i | ||||
\(868\) | 1.32051i | 0.0448210i | ||||||||
\(869\) | −5.81863 | − | 5.81863i | −0.197383 | − | 0.197383i | ||||
\(870\) | 22.2096 | − | 17.3135i | 0.752977 | − | 0.586981i | ||||
\(871\) | 0 | 0 | ||||||||
\(872\) | 48.6788i | 1.64847i | ||||||||
\(873\) | 4.35563 | − | 2.60434i | 0.147416 | − | 0.0881435i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −16.4675 | −0.556701 | ||||||||
\(876\) | −0.587477 | − | 0.0727771i | −0.0198490 | − | 0.00245891i | ||||
\(877\) | 21.2224 | + | 21.2224i | 0.716631 | + | 0.716631i | 0.967914 | − | 0.251283i | \(-0.0808525\pi\) |
−0.251283 | + | 0.967914i | \(0.580852\pi\) | |||||||
\(878\) | 1.35022 | + | 1.35022i | 0.0455676 | + | 0.0455676i | ||||
\(879\) | 3.09640 | + | 0.383584i | 0.104439 | + | 0.0129380i | ||||
\(880\) | −27.6603 | −0.932427 | ||||||||
\(881\) | 23.4834 | 0.791175 | 0.395588 | − | 0.918428i | \(-0.370541\pi\) | ||||
0.395588 | + | 0.918428i | \(0.370541\pi\) | |||||||
\(882\) | 19.3881 | − | 11.5926i | 0.652832 | − | 0.390345i | ||||
\(883\) | − | 33.3731i | − | 1.12309i | −0.827445 | − | 0.561547i | \(-0.810207\pi\) | ||
0.827445 | − | 0.561547i | \(-0.189793\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 6.19615 | − | 4.83020i | 0.208281 | − | 0.162365i | ||||
\(886\) | 11.9474 | + | 11.9474i | 0.401382 | + | 0.401382i | ||||
\(887\) | 25.2514i | 0.847858i | 0.905696 | + | 0.423929i | \(0.139349\pi\) | ||||
−0.905696 | + | 0.423929i | \(0.860651\pi\) | |||||||
\(888\) | −19.3003 | + | 15.0455i | −0.647676 | + | 0.504895i | ||||
\(889\) | −9.12436 | − | 9.12436i | −0.306021 | − | 0.306021i | ||||
\(890\) | −14.9643 | + | 14.9643i | −0.501605 | + | 0.501605i | ||||
\(891\) | 10.6733 | + | 35.4579i | 0.357570 | + | 1.18789i | ||||
\(892\) | −4.90897 | + | 4.90897i | −0.164364 | + | 0.164364i | ||||
\(893\) | 23.2745i | 0.778852i | ||||||||
\(894\) | −13.8435 | − | 17.7583i | −0.462995 | − | 0.593927i | ||||
\(895\) | −28.2679 | + | 28.2679i | −0.944893 | + | 0.944893i | ||||
\(896\) | −18.4443 | −0.616181 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 30.9808 | 1.03384 | ||||||||
\(899\) | −17.6648 | + | 17.6648i | −0.589153 | + | 0.589153i | ||||
\(900\) | 0.535898 | − | 2.12976i | 0.0178633 | − | 0.0709922i | ||||
\(901\) | 3.92820i | 0.130867i | ||||||||
\(902\) | 24.6247 | − | 24.6247i | 0.819913 | − | 0.819913i | ||||
\(903\) | 5.33864 | + | 0.661356i | 0.177659 | + | 0.0220085i | ||||
\(904\) | 18.9737 | − | 18.9737i | 0.631057 | − | 0.631057i | ||||
\(905\) | −3.19465 | − | 3.19465i | −0.106194 | − | 0.106194i | ||||
\(906\) | 1.21539 | + | 1.55910i | 0.0403786 | + | 0.0517975i | ||||
\(907\) | − | 17.3205i | − | 0.575118i | −0.957763 | − | 0.287559i | \(-0.907156\pi\) | ||
0.957763 | − | 0.287559i | \(-0.0928437\pi\) | |||||||
\(908\) | −3.84177 | − | 3.84177i | −0.127494 | − | 0.127494i | ||||
\(909\) | −4.41244 | + | 17.5359i | −0.146351 | + | 0.581629i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | − | 1.55910i | − | 0.0516552i | −0.999666 | − | 0.0258276i | \(-0.991778\pi\) | ||
0.999666 | − | 0.0258276i | \(-0.00822209\pi\) | |||||||
\(912\) | −29.6477 | − | 3.67279i | −0.981734 | − | 0.121618i | ||||
\(913\) | −16.9282 | −0.560242 | ||||||||
\(914\) | 5.87459 | 0.194314 | ||||||||
\(915\) | −2.24477 | + | 18.1204i | −0.0742099 | + | 0.599043i | ||||
\(916\) | −3.78461 | − | 3.78461i | −0.125047 | − | 0.125047i | ||||
\(917\) | 7.94839 | + | 7.94839i | 0.262479 | + | 0.262479i | ||||
\(918\) | −36.7670 | − | 14.2504i | −1.21349 | − | 0.470333i | ||||
\(919\) | 13.4115 | 0.442406 | 0.221203 | − | 0.975228i | \(-0.429002\pi\) | ||||
0.221203 | + | 0.975228i | \(0.429002\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −2.52728 | + | 20.4009i | −0.0832768 | + | 0.672233i | ||||
\(922\) | 32.0333i | 1.05496i | ||||||||
\(923\) | 0 | 0 | ||||||||
\(924\) | −1.66025 | − | 2.12976i | −0.0546183 | − | 0.0700641i | ||||
\(925\) | −10.4641 | − | 10.4641i | −0.344058 | − | 0.344058i | ||||
\(926\) | 49.0965i | 1.61341i | ||||||||
\(927\) | −20.1563 | − | 5.07180i | −0.662020 | − | 0.166580i | ||||
\(928\) | 7.63397 | + | 7.63397i | 0.250597 | + | 0.250597i | ||||
\(929\) | −14.4141 | + | 14.4141i | −0.472913 | + | 0.472913i | −0.902856 | − | 0.429943i | \(-0.858534\pi\) |
0.429943 | + | 0.902856i | \(0.358534\pi\) | |||||||
\(930\) | 1.68292 | − | 13.5850i | 0.0551853 | − | 0.445471i | ||||
\(931\) | 13.6603 | − | 13.6603i | 0.447697 | − | 0.447697i | ||||
\(932\) | 4.67729i | 0.153210i | ||||||||
\(933\) | −13.7670 | + | 10.7321i | −0.450712 | + | 0.351352i | ||||
\(934\) | 20.4115 | − | 20.4115i | 0.667886 | − | 0.667886i | ||||
\(935\) | −31.2229 | −1.02110 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −37.0000 | −1.20874 | −0.604369 | − | 0.796705i | \(-0.706575\pi\) | ||||
−0.604369 | + | 0.796705i | \(0.706575\pi\) | |||||||
\(938\) | −8.93682 | + | 8.93682i | −0.291797 | + | 0.291797i | ||||
\(939\) | 2.73205 | − | 2.12976i | 0.0891571 | − | 0.0695022i | ||||
\(940\) | 2.43078i | 0.0792833i | ||||||||
\(941\) | −9.14570 | + | 9.14570i | −0.298141 | + | 0.298141i | −0.840285 | − | 0.542144i | \(-0.817613\pi\) |
0.542144 | + | 0.840285i | \(0.317613\pi\) | |||||||
\(942\) | −1.54051 | + | 12.4354i | −0.0501924 | + | 0.405167i | ||||
\(943\) | 0 | 0 | ||||||||
\(944\) | 9.50749 | + | 9.50749i | 0.309442 | + | 0.309442i | ||||
\(945\) | 10.1244 | − | 4.46841i | 0.329345 | − | 0.145357i | ||||
\(946\) | 13.6077i | 0.442424i | ||||||||
\(947\) | −7.58660 | − | 7.58660i | −0.246531 | − | 0.246531i | 0.573014 | − | 0.819546i | \(-0.305774\pi\) |
−0.819546 | + | 0.573014i | \(0.805774\pi\) | |||||||
\(948\) | −0.570669 | − | 0.732051i | −0.0185345 | − | 0.0237759i | ||||
\(949\) | 0 | 0 | ||||||||
\(950\) | − | 15.8968i | − | 0.515760i | ||||||
\(951\) | −3.41855 | + | 27.5955i | −0.110854 | + | 0.894844i | ||||
\(952\) | −18.5885 | −0.602455 | ||||||||
\(953\) | −1.97685 | −0.0640366 | −0.0320183 | − | 0.999487i | \(-0.510193\pi\) | ||||
−0.0320183 | + | 0.999487i | \(0.510193\pi\) | |||||||
\(954\) | 3.02279 | − | 1.80740i | 0.0978666 | − | 0.0585169i | ||||
\(955\) | 5.14359 | + | 5.14359i | 0.166443 | + | 0.166443i | ||||
\(956\) | −1.76798 | − | 1.76798i | −0.0571804 | − | 0.0571804i | ||||
\(957\) | 6.28076 | − | 50.7000i | 0.203028 | − | 1.63890i | ||||
\(958\) | 30.9808 | 1.00094 | ||||||||
\(959\) | 9.50749 | 0.307013 | ||||||||
\(960\) | 17.2409 | + | 2.13582i | 0.556449 | + | 0.0689334i | ||||
\(961\) | − | 18.8564i | − | 0.608271i | ||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −55.3205 | − | 13.9199i | −1.78268 | − | 0.448563i | ||||
\(964\) | 2.75833 | + | 2.75833i | 0.0888398 | + | 0.0888398i | ||||
\(965\) | − | 0.208879i | − | 0.00672406i | ||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 27.8564 | + | 27.8564i | 0.895802 | + | 0.895802i | 0.995062 | − | 0.0992599i | \(-0.0316475\pi\) |
−0.0992599 | + | 0.995062i | \(0.531648\pi\) | |||||||
\(968\) | −10.9342 | + | 10.9342i | −0.351437 | + | 0.351437i | ||||
\(969\) | −33.4663 | − | 4.14584i | −1.07509 | − | 0.133184i | ||||
\(970\) | 2.71281 | − | 2.71281i | 0.0871032 | − | 0.0871032i | ||||
\(971\) | 47.8433i | 1.53536i | 0.640832 | + | 0.767682i | \(0.278590\pi\) | ||||
−0.640832 | + | 0.767682i | \(0.721410\pi\) | |||||||
\(972\) | 0.703093 | + | 4.11731i | 0.0225517 | + | 0.132063i | ||||
\(973\) | −18.3923 | + | 18.3923i | −0.589630 | + | 0.589630i | ||||
\(974\) | 8.67197 | 0.277868 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −31.2487 | −1.00025 | ||||||||
\(977\) | −16.7528 | + | 16.7528i | −0.535969 | + | 0.535969i | −0.922342 | − | 0.386373i | \(-0.873728\pi\) |
0.386373 | + | 0.922342i | \(0.373728\pi\) | |||||||
\(978\) | −6.64102 | − | 8.51906i | −0.212356 | − | 0.272409i | ||||
\(979\) | 38.3923i | 1.22702i | ||||||||
\(980\) | 1.42667 | − | 1.42667i | 0.0455734 | − | 0.0455734i | ||||
\(981\) | 48.0520 | − | 28.7315i | 1.53418 | − | 0.917326i | ||||
\(982\) | 30.3731 | − | 30.3731i | 0.969244 | − | 0.969244i | ||||
\(983\) | −30.4433 | − | 30.4433i | −0.970992 | − | 0.970992i | 0.0285990 | − | 0.999591i | \(-0.490895\pi\) |
−0.999591 | + | 0.0285990i | \(0.990895\pi\) | |||||||
\(984\) | −20.0263 | + | 15.6114i | −0.638414 | + | 0.497675i | ||||
\(985\) | − | 6.19615i | − | 0.197426i | ||||||
\(986\) | 38.4682 | + | 38.4682i | 1.22508 | + | 1.22508i | ||||
\(987\) | 11.6373 | − | 9.07180i | 0.370418 | − | 0.288758i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 0 | 0 | ||||||||
\(990\) | 14.3660 | + | 24.0264i | 0.456580 | + | 0.763608i | ||||
\(991\) | −57.5692 | −1.82875 | −0.914373 | − | 0.404872i | \(-0.867316\pi\) | ||||
−0.914373 | + | 0.404872i | \(0.867316\pi\) | |||||||
\(992\) | 5.24796 | 0.166623 | ||||||||
\(993\) | −58.8186 | − | 7.28650i | −1.86655 | − | 0.231230i | ||||
\(994\) | −4.53590 | − | 4.53590i | −0.143870 | − | 0.143870i | ||||
\(995\) | −13.7670 | − | 13.7670i | −0.436444 | − | 0.436444i | ||||
\(996\) | −1.89501 | − | 0.234755i | −0.0600457 | − | 0.00743851i | ||||
\(997\) | −7.00000 | −0.221692 | −0.110846 | − | 0.993838i | \(-0.535356\pi\) | ||||
−0.110846 | + | 0.993838i | \(0.535356\pi\) | |||||||
\(998\) | 5.24796 | 0.166121 | ||||||||
\(999\) | 26.2433 | + | 10.1715i | 0.830303 | + | 0.321813i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))