Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [722,2,Mod(429,722)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(722, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("722.429");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 722 = 2 \cdot 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 722.c (of order \(3\), degree \(2\), not 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: | \(5.76519902594\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{3} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | no (minimal twist has level 38) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 653.1 | ||
Root | \(-0.766044 + 0.642788i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 722.653 |
Dual form | 722.2.c.l.429.1 |
$q$-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 \(\left(\mathbb{Z}/722\mathbb{Z}\right)^\times\).
\(n\) | \(363\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | + | 0.866025i | 0.353553 | + | 0.612372i | ||||
\(3\) | −0.939693 | − | 1.62760i | −0.542532 | − | 0.939693i | −0.998758 | − | 0.0498287i | \(-0.984132\pi\) |
0.456226 | − | 0.889864i | \(-0.349201\pi\) | |||||||
\(4\) | −0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | ||||
\(5\) | −1.00000 | − | 1.73205i | −0.447214 | − | 0.774597i | 0.550990 | − | 0.834512i | \(-0.314250\pi\) |
−0.998203 | + | 0.0599153i | \(0.980917\pi\) | |||||||
\(6\) | 0.939693 | − | 1.62760i | 0.383628 | − | 0.664463i | ||||
\(7\) | 5.06418 | 1.91408 | 0.957040 | − | 0.289957i | \(-0.0936410\pi\) | ||||
0.957040 | + | 0.289957i | \(0.0936410\pi\) | |||||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | −0.266044 | + | 0.460802i | −0.0886815 | + | 0.153601i | ||||
\(10\) | 1.00000 | − | 1.73205i | 0.316228 | − | 0.547723i | ||||
\(11\) | −1.41147 | −0.425575 | −0.212788 | − | 0.977098i | \(-0.568254\pi\) | ||||
−0.212788 | + | 0.977098i | \(0.568254\pi\) | |||||||
\(12\) | 1.87939 | 0.542532 | ||||||||
\(13\) | −0.652704 | + | 1.13052i | −0.181027 | + | 0.313549i | −0.942231 | − | 0.334965i | \(-0.891276\pi\) |
0.761203 | + | 0.648513i | \(0.224609\pi\) | |||||||
\(14\) | 2.53209 | + | 4.38571i | 0.676729 | + | 1.17213i | ||||
\(15\) | −1.87939 | + | 3.25519i | −0.485255 | + | 0.840487i | ||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | −1.19459 | − | 2.06910i | −0.289731 | − | 0.501829i | 0.684014 | − | 0.729469i | \(-0.260233\pi\) |
−0.973746 | + | 0.227639i | \(0.926899\pi\) | |||||||
\(18\) | −0.532089 | −0.125415 | ||||||||
\(19\) | 0 | 0 | ||||||||
\(20\) | 2.00000 | 0.447214 | ||||||||
\(21\) | −4.75877 | − | 8.24243i | −1.03845 | − | 1.79865i | ||||
\(22\) | −0.705737 | − | 1.22237i | −0.150464 | − | 0.260611i | ||||
\(23\) | 1.53209 | − | 2.65366i | 0.319463 | − | 0.553325i | −0.660913 | − | 0.750462i | \(-0.729831\pi\) |
0.980376 | + | 0.197137i | \(0.0631643\pi\) | |||||||
\(24\) | 0.939693 | + | 1.62760i | 0.191814 | + | 0.332232i | ||||
\(25\) | 0.500000 | − | 0.866025i | 0.100000 | − | 0.173205i | ||||
\(26\) | −1.30541 | −0.256011 | ||||||||
\(27\) | −4.63816 | −0.892613 | ||||||||
\(28\) | −2.53209 | + | 4.38571i | −0.478520 | + | 0.828821i | ||||
\(29\) | 4.22668 | − | 7.32083i | 0.784875 | − | 1.35944i | −0.144199 | − | 0.989549i | \(-0.546060\pi\) |
0.929074 | − | 0.369895i | \(-0.120606\pi\) | |||||||
\(30\) | −3.75877 | −0.686254 | ||||||||
\(31\) | −0.369585 | −0.0663794 | −0.0331897 | − | 0.999449i | \(-0.510567\pi\) | ||||
−0.0331897 | + | 0.999449i | \(0.510567\pi\) | |||||||
\(32\) | 0.500000 | − | 0.866025i | 0.0883883 | − | 0.153093i | ||||
\(33\) | 1.32635 | + | 2.29731i | 0.230888 | + | 0.399910i | ||||
\(34\) | 1.19459 | − | 2.06910i | 0.204871 | − | 0.354847i | ||||
\(35\) | −5.06418 | − | 8.77141i | −0.856002 | − | 1.48264i | ||||
\(36\) | −0.266044 | − | 0.460802i | −0.0443407 | − | 0.0768004i | ||||
\(37\) | −4.82295 | −0.792888 | −0.396444 | − | 0.918059i | \(-0.629756\pi\) | ||||
−0.396444 | + | 0.918059i | \(0.629756\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 2.45336 | 0.392853 | ||||||||
\(40\) | 1.00000 | + | 1.73205i | 0.158114 | + | 0.273861i | ||||
\(41\) | −0.766044 | − | 1.32683i | −0.119636 | − | 0.207216i | 0.799987 | − | 0.600017i | \(-0.204839\pi\) |
−0.919623 | + | 0.392801i | \(0.871506\pi\) | |||||||
\(42\) | 4.75877 | − | 8.24243i | 0.734294 | − | 1.27183i | ||||
\(43\) | 0.379385 | + | 0.657115i | 0.0578557 | + | 0.100209i | 0.893503 | − | 0.449058i | \(-0.148240\pi\) |
−0.835647 | + | 0.549267i | \(0.814907\pi\) | |||||||
\(44\) | 0.705737 | − | 1.22237i | 0.106394 | − | 0.184280i | ||||
\(45\) | 1.06418 | 0.158638 | ||||||||
\(46\) | 3.06418 | 0.451788 | ||||||||
\(47\) | 5.10607 | − | 8.84397i | 0.744796 | − | 1.29003i | −0.205493 | − | 0.978658i | \(-0.565880\pi\) |
0.950290 | − | 0.311367i | \(-0.100787\pi\) | |||||||
\(48\) | −0.939693 | + | 1.62760i | −0.135633 | + | 0.234923i | ||||
\(49\) | 18.6459 | 2.66370 | ||||||||
\(50\) | 1.00000 | 0.141421 | ||||||||
\(51\) | −2.24510 | + | 3.88863i | −0.314377 | + | 0.544517i | ||||
\(52\) | −0.652704 | − | 1.13052i | −0.0905137 | − | 0.156774i | ||||
\(53\) | 0.837496 | − | 1.45059i | 0.115039 | − | 0.199253i | −0.802756 | − | 0.596307i | \(-0.796634\pi\) |
0.917795 | + | 0.397054i | \(0.129967\pi\) | |||||||
\(54\) | −2.31908 | − | 4.01676i | −0.315587 | − | 0.546612i | ||||
\(55\) | 1.41147 | + | 2.44474i | 0.190323 | + | 0.329649i | ||||
\(56\) | −5.06418 | −0.676729 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 8.45336 | 1.10998 | ||||||||
\(59\) | 0.358441 | + | 0.620838i | 0.0466650 | + | 0.0808262i | 0.888414 | − | 0.459042i | \(-0.151807\pi\) |
−0.841749 | + | 0.539868i | \(0.818474\pi\) | |||||||
\(60\) | −1.87939 | − | 3.25519i | −0.242628 | − | 0.420243i | ||||
\(61\) | −4.87939 | + | 8.45134i | −0.624741 | + | 1.08208i | 0.363850 | + | 0.931458i | \(0.381462\pi\) |
−0.988591 | + | 0.150626i | \(0.951871\pi\) | |||||||
\(62\) | −0.184793 | − | 0.320070i | −0.0234687 | − | 0.0406489i | ||||
\(63\) | −1.34730 | + | 2.33359i | −0.169743 | + | 0.294004i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 2.61081 | 0.323832 | ||||||||
\(66\) | −1.32635 | + | 2.29731i | −0.163263 | + | 0.282779i | ||||
\(67\) | −0.701867 | + | 1.21567i | −0.0857467 | + | 0.148518i | −0.905709 | − | 0.423900i | \(-0.860661\pi\) |
0.819962 | + | 0.572417i | \(0.193994\pi\) | |||||||
\(68\) | 2.38919 | 0.289731 | ||||||||
\(69\) | −5.75877 | −0.693274 | ||||||||
\(70\) | 5.06418 | − | 8.77141i | 0.605285 | − | 1.04838i | ||||
\(71\) | −3.18479 | − | 5.51622i | −0.377965 | − | 0.654655i | 0.612801 | − | 0.790237i | \(-0.290043\pi\) |
−0.990766 | + | 0.135582i | \(0.956709\pi\) | |||||||
\(72\) | 0.266044 | − | 0.460802i | 0.0313536 | − | 0.0543061i | ||||
\(73\) | 2.27972 | + | 3.94858i | 0.266820 | + | 0.462147i | 0.968039 | − | 0.250800i | \(-0.0806936\pi\) |
−0.701219 | + | 0.712946i | \(0.747360\pi\) | |||||||
\(74\) | −2.41147 | − | 4.17680i | −0.280328 | − | 0.485543i | ||||
\(75\) | −1.87939 | −0.217013 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −7.14796 | −0.814585 | ||||||||
\(78\) | 1.22668 | + | 2.12467i | 0.138894 | + | 0.240572i | ||||
\(79\) | −1.12061 | − | 1.94096i | −0.126079 | − | 0.218375i | 0.796075 | − | 0.605198i | \(-0.206906\pi\) |
−0.922154 | + | 0.386822i | \(0.873573\pi\) | |||||||
\(80\) | −1.00000 | + | 1.73205i | −0.111803 | + | 0.193649i | ||||
\(81\) | 5.15657 | + | 8.93145i | 0.572953 | + | 0.992383i | ||||
\(82\) | 0.766044 | − | 1.32683i | 0.0845955 | − | 0.146524i | ||||
\(83\) | −3.98545 | −0.437460 | −0.218730 | − | 0.975785i | \(-0.570191\pi\) | ||||
−0.218730 | + | 0.975785i | \(0.570191\pi\) | |||||||
\(84\) | 9.51754 | 1.03845 | ||||||||
\(85\) | −2.38919 | + | 4.13819i | −0.259144 | + | 0.448850i | ||||
\(86\) | −0.379385 | + | 0.657115i | −0.0409102 | + | 0.0708585i | ||||
\(87\) | −15.8871 | −1.70328 | ||||||||
\(88\) | 1.41147 | 0.150464 | ||||||||
\(89\) | −5.32295 | + | 9.21962i | −0.564231 | + | 0.977277i | 0.432889 | + | 0.901447i | \(0.357494\pi\) |
−0.997121 | + | 0.0758304i | \(0.975839\pi\) | |||||||
\(90\) | 0.532089 | + | 0.921605i | 0.0560871 | + | 0.0971457i | ||||
\(91\) | −3.30541 | + | 5.72513i | −0.346501 | + | 0.600157i | ||||
\(92\) | 1.53209 | + | 2.65366i | 0.159731 | + | 0.276663i | ||||
\(93\) | 0.347296 | + | 0.601535i | 0.0360130 | + | 0.0623763i | ||||
\(94\) | 10.2121 | 1.05330 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −1.87939 | −0.191814 | ||||||||
\(97\) | −0.766044 | − | 1.32683i | −0.0777800 | − | 0.134719i | 0.824512 | − | 0.565845i | \(-0.191450\pi\) |
−0.902292 | + | 0.431126i | \(0.858117\pi\) | |||||||
\(98\) | 9.32295 | + | 16.1478i | 0.941760 | + | 1.63118i | ||||
\(99\) | 0.375515 | − | 0.650411i | 0.0377407 | − | 0.0653687i | ||||
\(100\) | 0.500000 | + | 0.866025i | 0.0500000 | + | 0.0866025i | ||||
\(101\) | −4.41147 | + | 7.64090i | −0.438958 | + | 0.760298i | −0.997609 | − | 0.0691049i | \(-0.977986\pi\) |
0.558651 | + | 0.829403i | \(0.311319\pi\) | |||||||
\(102\) | −4.49020 | −0.444596 | ||||||||
\(103\) | 7.14796 | 0.704309 | 0.352155 | − | 0.935942i | \(-0.385449\pi\) | ||||
0.352155 | + | 0.935942i | \(0.385449\pi\) | |||||||
\(104\) | 0.652704 | − | 1.13052i | 0.0640029 | − | 0.110856i | ||||
\(105\) | −9.51754 | + | 16.4849i | −0.928817 | + | 1.60876i | ||||
\(106\) | 1.67499 | 0.162690 | ||||||||
\(107\) | 9.36959 | 0.905792 | 0.452896 | − | 0.891563i | \(-0.350391\pi\) | ||||
0.452896 | + | 0.891563i | \(0.350391\pi\) | |||||||
\(108\) | 2.31908 | − | 4.01676i | 0.223153 | − | 0.386513i | ||||
\(109\) | 5.53209 | + | 9.58186i | 0.529878 | + | 0.917776i | 0.999393 | + | 0.0348509i | \(0.0110956\pi\) |
−0.469515 | + | 0.882925i | \(0.655571\pi\) | |||||||
\(110\) | −1.41147 | + | 2.44474i | −0.134579 | + | 0.233097i | ||||
\(111\) | 4.53209 | + | 7.84981i | 0.430167 | + | 0.745071i | ||||
\(112\) | −2.53209 | − | 4.38571i | −0.239260 | − | 0.414410i | ||||
\(113\) | 13.2986 | 1.25103 | 0.625514 | − | 0.780213i | \(-0.284890\pi\) | ||||
0.625514 | + | 0.780213i | \(0.284890\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −6.12836 | −0.571472 | ||||||||
\(116\) | 4.22668 | + | 7.32083i | 0.392438 | + | 0.679722i | ||||
\(117\) | −0.347296 | − | 0.601535i | −0.0321076 | − | 0.0556119i | ||||
\(118\) | −0.358441 | + | 0.620838i | −0.0329971 | + | 0.0571527i | ||||
\(119\) | −6.04963 | − | 10.4783i | −0.554569 | − | 0.960541i | ||||
\(120\) | 1.87939 | − | 3.25519i | 0.171564 | − | 0.297157i | ||||
\(121\) | −9.00774 | −0.818886 | ||||||||
\(122\) | −9.75877 | −0.883518 | ||||||||
\(123\) | −1.43969 | + | 2.49362i | −0.129813 | + | 0.224842i | ||||
\(124\) | 0.184793 | − | 0.320070i | 0.0165949 | − | 0.0287431i | ||||
\(125\) | −12.0000 | −1.07331 | ||||||||
\(126\) | −2.69459 | −0.240053 | ||||||||
\(127\) | −2.85710 | + | 4.94864i | −0.253526 | + | 0.439120i | −0.964494 | − | 0.264104i | \(-0.914924\pi\) |
0.710968 | + | 0.703224i | \(0.248257\pi\) | |||||||
\(128\) | 0.500000 | + | 0.866025i | 0.0441942 | + | 0.0765466i | ||||
\(129\) | 0.713011 | − | 1.23497i | 0.0627771 | − | 0.108733i | ||||
\(130\) | 1.30541 | + | 2.26103i | 0.114492 | + | 0.198306i | ||||
\(131\) | 4.93969 | + | 8.55580i | 0.431583 | + | 0.747524i | 0.997010 | − | 0.0772748i | \(-0.0246219\pi\) |
−0.565427 | + | 0.824798i | \(0.691289\pi\) | |||||||
\(132\) | −2.65270 | −0.230888 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −1.40373 | −0.121264 | ||||||||
\(135\) | 4.63816 | + | 8.03352i | 0.399189 | + | 0.691415i | ||||
\(136\) | 1.19459 | + | 2.06910i | 0.102435 | + | 0.177423i | ||||
\(137\) | −2.69846 | + | 4.67388i | −0.230545 | + | 0.399316i | −0.957969 | − | 0.286873i | \(-0.907384\pi\) |
0.727423 | + | 0.686189i | \(0.240718\pi\) | |||||||
\(138\) | −2.87939 | − | 4.98724i | −0.245110 | − | 0.424542i | ||||
\(139\) | 1.16978 | − | 2.02611i | 0.0992193 | − | 0.171853i | −0.812142 | − | 0.583459i | \(-0.801699\pi\) |
0.911362 | + | 0.411606i | \(0.135032\pi\) | |||||||
\(140\) | 10.1284 | 0.856002 | ||||||||
\(141\) | −19.1925 | −1.61630 | ||||||||
\(142\) | 3.18479 | − | 5.51622i | 0.267262 | − | 0.462911i | ||||
\(143\) | 0.921274 | − | 1.59569i | 0.0770408 | − | 0.133439i | ||||
\(144\) | 0.532089 | 0.0443407 | ||||||||
\(145\) | −16.9067 | −1.40403 | ||||||||
\(146\) | −2.27972 | + | 3.94858i | −0.188671 | + | 0.326787i | ||||
\(147\) | −17.5214 | − | 30.3480i | −1.44514 | − | 2.50306i | ||||
\(148\) | 2.41147 | − | 4.17680i | 0.198222 | − | 0.343330i | ||||
\(149\) | 7.18479 | + | 12.4444i | 0.588601 | + | 1.01949i | 0.994416 | + | 0.105532i | \(0.0336545\pi\) |
−0.405815 | + | 0.913955i | \(0.633012\pi\) | |||||||
\(150\) | −0.939693 | − | 1.62760i | −0.0767256 | − | 0.132893i | ||||
\(151\) | 20.8384 | 1.69581 | 0.847904 | − | 0.530150i | \(-0.177865\pi\) | ||||
0.847904 | + | 0.530150i | \(0.177865\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 1.27126 | 0.102775 | ||||||||
\(154\) | −3.57398 | − | 6.19031i | −0.287999 | − | 0.498830i | ||||
\(155\) | 0.369585 | + | 0.640140i | 0.0296858 | + | 0.0514173i | ||||
\(156\) | −1.22668 | + | 2.12467i | −0.0982131 | + | 0.170110i | ||||
\(157\) | −3.18479 | − | 5.51622i | −0.254174 | − | 0.440242i | 0.710497 | − | 0.703700i | \(-0.248470\pi\) |
−0.964671 | + | 0.263458i | \(0.915137\pi\) | |||||||
\(158\) | 1.12061 | − | 1.94096i | 0.0891513 | − | 0.154415i | ||||
\(159\) | −3.14796 | −0.249649 | ||||||||
\(160\) | −2.00000 | −0.158114 | ||||||||
\(161\) | 7.75877 | − | 13.4386i | 0.611477 | − | 1.05911i | ||||
\(162\) | −5.15657 | + | 8.93145i | −0.405139 | + | 0.701721i | ||||
\(163\) | 4.73143 | 0.370594 | 0.185297 | − | 0.982683i | \(-0.440675\pi\) | ||||
0.185297 | + | 0.982683i | \(0.440675\pi\) | |||||||
\(164\) | 1.53209 | 0.119636 | ||||||||
\(165\) | 2.65270 | − | 4.59462i | 0.206513 | − | 0.357690i | ||||
\(166\) | −1.99273 | − | 3.45150i | −0.154666 | − | 0.267889i | ||||
\(167\) | 8.63816 | − | 14.9617i | 0.668441 | − | 1.15777i | −0.309900 | − | 0.950769i | \(-0.600295\pi\) |
0.978340 | − | 0.207004i | \(-0.0663712\pi\) | |||||||
\(168\) | 4.75877 | + | 8.24243i | 0.367147 | + | 0.635917i | ||||
\(169\) | 5.64796 | + | 9.78255i | 0.434458 | + | 0.752504i | ||||
\(170\) | −4.77837 | −0.366484 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −0.758770 | −0.0578557 | ||||||||
\(173\) | 9.41147 | + | 16.3012i | 0.715541 | + | 1.23935i | 0.962750 | + | 0.270391i | \(0.0871531\pi\) |
−0.247209 | + | 0.968962i | \(0.579514\pi\) | |||||||
\(174\) | −7.94356 | − | 13.7587i | −0.602200 | − | 1.04304i | ||||
\(175\) | 2.53209 | − | 4.38571i | 0.191408 | − | 0.331528i | ||||
\(176\) | 0.705737 | + | 1.22237i | 0.0531969 | + | 0.0921398i | ||||
\(177\) | 0.673648 | − | 1.16679i | 0.0506345 | − | 0.0877015i | ||||
\(178\) | −10.6459 | −0.797944 | ||||||||
\(179\) | 13.8280 | 1.03355 | 0.516777 | − | 0.856120i | \(-0.327132\pi\) | ||||
0.516777 | + | 0.856120i | \(0.327132\pi\) | |||||||
\(180\) | −0.532089 | + | 0.921605i | −0.0396596 | + | 0.0686924i | ||||
\(181\) | 6.12836 | − | 10.6146i | 0.455517 | − | 0.788979i | −0.543201 | − | 0.839603i | \(-0.682788\pi\) |
0.998718 | + | 0.0506242i | \(0.0161211\pi\) | |||||||
\(182\) | −6.61081 | −0.490026 | ||||||||
\(183\) | 18.3405 | 1.35577 | ||||||||
\(184\) | −1.53209 | + | 2.65366i | −0.112947 | + | 0.195630i | ||||
\(185\) | 4.82295 | + | 8.35359i | 0.354590 | + | 0.614168i | ||||
\(186\) | −0.347296 | + | 0.601535i | −0.0254650 | + | 0.0441067i | ||||
\(187\) | 1.68614 | + | 2.92047i | 0.123303 | + | 0.213566i | ||||
\(188\) | 5.10607 | + | 8.84397i | 0.372398 | + | 0.645013i | ||||
\(189\) | −23.4884 | −1.70853 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −20.0993 | −1.45433 | −0.727166 | − | 0.686462i | \(-0.759163\pi\) | ||||
−0.727166 | + | 0.686462i | \(0.759163\pi\) | |||||||
\(192\) | −0.939693 | − | 1.62760i | −0.0678165 | − | 0.117462i | ||||
\(193\) | 8.34255 | + | 14.4497i | 0.600510 | + | 1.04011i | 0.992744 | + | 0.120248i | \(0.0383690\pi\) |
−0.392234 | + | 0.919865i | \(0.628298\pi\) | |||||||
\(194\) | 0.766044 | − | 1.32683i | 0.0549988 | − | 0.0952607i | ||||
\(195\) | −2.45336 | − | 4.24935i | −0.175689 | − | 0.304302i | ||||
\(196\) | −9.32295 | + | 16.1478i | −0.665925 | + | 1.15342i | ||||
\(197\) | 12.9905 | 0.925535 | 0.462768 | − | 0.886480i | \(-0.346856\pi\) | ||||
0.462768 | + | 0.886480i | \(0.346856\pi\) | |||||||
\(198\) | 0.751030 | 0.0533734 | ||||||||
\(199\) | −8.59627 | + | 14.8892i | −0.609373 | + | 1.05547i | 0.381971 | + | 0.924174i | \(0.375246\pi\) |
−0.991344 | + | 0.131291i | \(0.958088\pi\) | |||||||
\(200\) | −0.500000 | + | 0.866025i | −0.0353553 | + | 0.0612372i | ||||
\(201\) | 2.63816 | 0.186081 | ||||||||
\(202\) | −8.82295 | −0.620780 | ||||||||
\(203\) | 21.4047 | − | 37.0740i | 1.50231 | − | 2.60208i | ||||
\(204\) | −2.24510 | − | 3.88863i | −0.157188 | − | 0.272258i | ||||
\(205\) | −1.53209 | + | 2.65366i | −0.107006 | + | 0.185339i | ||||
\(206\) | 3.57398 | + | 6.19031i | 0.249011 | + | 0.431299i | ||||
\(207\) | 0.815207 | + | 1.41198i | 0.0566608 | + | 0.0981394i | ||||
\(208\) | 1.30541 | 0.0905137 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | −19.0351 | −1.31355 | ||||||||
\(211\) | −8.05438 | − | 13.9506i | −0.554486 | − | 0.960398i | −0.997943 | − | 0.0641027i | \(-0.979581\pi\) |
0.443457 | − | 0.896296i | \(-0.353752\pi\) | |||||||
\(212\) | 0.837496 | + | 1.45059i | 0.0575195 | + | 0.0996267i | ||||
\(213\) | −5.98545 | + | 10.3671i | −0.410116 | + | 0.710342i | ||||
\(214\) | 4.68479 | + | 8.11430i | 0.320246 | + | 0.554682i | ||||
\(215\) | 0.758770 | − | 1.31423i | 0.0517477 | − | 0.0896297i | ||||
\(216\) | 4.63816 | 0.315587 | ||||||||
\(217\) | −1.87164 | −0.127056 | ||||||||
\(218\) | −5.53209 | + | 9.58186i | −0.374680 | + | 0.648965i | ||||
\(219\) | 4.28446 | − | 7.42091i | 0.289517 | − | 0.501458i | ||||
\(220\) | −2.82295 | −0.190323 | ||||||||
\(221\) | 3.11886 | 0.209797 | ||||||||
\(222\) | −4.53209 | + | 7.84981i | −0.304174 | + | 0.526845i | ||||
\(223\) | 2.04189 | + | 3.53666i | 0.136735 | + | 0.236832i | 0.926259 | − | 0.376888i | \(-0.123006\pi\) |
−0.789524 | + | 0.613720i | \(0.789672\pi\) | |||||||
\(224\) | 2.53209 | − | 4.38571i | 0.169182 | − | 0.293032i | ||||
\(225\) | 0.266044 | + | 0.460802i | 0.0177363 | + | 0.0307202i | ||||
\(226\) | 6.64930 | + | 11.5169i | 0.442305 | + | 0.766094i | ||||
\(227\) | −13.6604 | −0.906676 | −0.453338 | − | 0.891339i | \(-0.649767\pi\) | ||||
−0.453338 | + | 0.891339i | \(0.649767\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −5.22163 | −0.345055 | −0.172527 | − | 0.985005i | \(-0.555193\pi\) | ||||
−0.172527 | + | 0.985005i | \(0.555193\pi\) | |||||||
\(230\) | −3.06418 | − | 5.30731i | −0.202046 | − | 0.349954i | ||||
\(231\) | 6.71688 | + | 11.6340i | 0.441938 | + | 0.765460i | ||||
\(232\) | −4.22668 | + | 7.32083i | −0.277495 | + | 0.480636i | ||||
\(233\) | 13.5214 | + | 23.4198i | 0.885817 | + | 1.53428i | 0.844774 | + | 0.535123i | \(0.179735\pi\) |
0.0410429 | + | 0.999157i | \(0.486932\pi\) | |||||||
\(234\) | 0.347296 | − | 0.601535i | 0.0227035 | − | 0.0393236i | ||||
\(235\) | −20.4243 | −1.33233 | ||||||||
\(236\) | −0.716881 | −0.0466650 | ||||||||
\(237\) | −2.10607 | + | 3.64781i | −0.136804 | + | 0.236951i | ||||
\(238\) | 6.04963 | − | 10.4783i | 0.392139 | − | 0.679205i | ||||
\(239\) | −0.285807 | −0.0184873 | −0.00924366 | − | 0.999957i | \(-0.502942\pi\) | ||||
−0.00924366 | + | 0.999957i | \(0.502942\pi\) | |||||||
\(240\) | 3.75877 | 0.242628 | ||||||||
\(241\) | 1.55051 | − | 2.68556i | 0.0998769 | − | 0.172992i | −0.811757 | − | 0.583996i | \(-0.801488\pi\) |
0.911634 | + | 0.411004i | \(0.134822\pi\) | |||||||
\(242\) | −4.50387 | − | 7.80093i | −0.289520 | − | 0.501463i | ||||
\(243\) | 2.73396 | − | 4.73535i | 0.175383 | − | 0.303773i | ||||
\(244\) | −4.87939 | − | 8.45134i | −0.312371 | − | 0.541042i | ||||
\(245\) | −18.6459 | − | 32.2956i | −1.19124 | − | 2.06329i | ||||
\(246\) | −2.87939 | −0.183583 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 0.369585 | 0.0234687 | ||||||||
\(249\) | 3.74510 | + | 6.48670i | 0.237336 | + | 0.411078i | ||||
\(250\) | −6.00000 | − | 10.3923i | −0.379473 | − | 0.657267i | ||||
\(251\) | 6.32888 | − | 10.9619i | 0.399475 | − | 0.691911i | −0.594186 | − | 0.804328i | \(-0.702526\pi\) |
0.993661 | + | 0.112416i | \(0.0358590\pi\) | |||||||
\(252\) | −1.34730 | − | 2.33359i | −0.0848717 | − | 0.147002i | ||||
\(253\) | −2.16250 | + | 3.74557i | −0.135955 | + | 0.235482i | ||||
\(254\) | −5.71419 | −0.358540 | ||||||||
\(255\) | 8.98040 | 0.562374 | ||||||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −15.1964 | + | 26.3209i | −0.947926 | + | 1.64186i | −0.198141 | + | 0.980174i | \(0.563490\pi\) |
−0.749785 | + | 0.661682i | \(0.769843\pi\) | |||||||
\(258\) | 1.42602 | 0.0887803 | ||||||||
\(259\) | −24.4243 | −1.51765 | ||||||||
\(260\) | −1.30541 | + | 2.26103i | −0.0809579 | + | 0.140223i | ||||
\(261\) | 2.24897 | + | 3.89533i | 0.139208 | + | 0.241115i | ||||
\(262\) | −4.93969 | + | 8.55580i | −0.305175 | + | 0.528579i | ||||
\(263\) | −10.9513 | − | 18.9682i | −0.675286 | − | 1.16963i | −0.976385 | − | 0.216037i | \(-0.930687\pi\) |
0.301099 | − | 0.953593i | \(-0.402647\pi\) | |||||||
\(264\) | −1.32635 | − | 2.29731i | −0.0816313 | − | 0.141390i | ||||
\(265\) | −3.34998 | −0.205788 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 20.0077 | 1.22445 | ||||||||
\(268\) | −0.701867 | − | 1.21567i | −0.0428733 | − | 0.0742588i | ||||
\(269\) | −0.716881 | − | 1.24168i | −0.0437090 | − | 0.0757063i | 0.843343 | − | 0.537375i | \(-0.180584\pi\) |
−0.887052 | + | 0.461669i | \(0.847251\pi\) | |||||||
\(270\) | −4.63816 | + | 8.03352i | −0.282269 | + | 0.488905i | ||||
\(271\) | −8.08647 | − | 14.0062i | −0.491218 | − | 0.850814i | 0.508731 | − | 0.860926i | \(-0.330115\pi\) |
−0.999949 | + | 0.0101112i | \(0.996781\pi\) | |||||||
\(272\) | −1.19459 | + | 2.06910i | −0.0724328 | + | 0.125457i | ||||
\(273\) | 12.4243 | 0.751951 | ||||||||
\(274\) | −5.39693 | −0.326040 | ||||||||
\(275\) | −0.705737 | + | 1.22237i | −0.0425575 | + | 0.0737118i | ||||
\(276\) | 2.87939 | − | 4.98724i | 0.173319 | − | 0.300197i | ||||
\(277\) | 11.1088 | 0.667460 | 0.333730 | − | 0.942669i | \(-0.391693\pi\) | ||||
0.333730 | + | 0.942669i | \(0.391693\pi\) | |||||||
\(278\) | 2.33956 | 0.140317 | ||||||||
\(279\) | 0.0983261 | − | 0.170306i | 0.00588663 | − | 0.0101959i | ||||
\(280\) | 5.06418 | + | 8.77141i | 0.302643 | + | 0.524192i | ||||
\(281\) | 2.12449 | − | 3.67972i | 0.126736 | − | 0.219513i | −0.795674 | − | 0.605725i | \(-0.792883\pi\) |
0.922410 | + | 0.386211i | \(0.126217\pi\) | |||||||
\(282\) | −9.59627 | − | 16.6212i | −0.571449 | − | 0.989779i | ||||
\(283\) | 2.72803 | + | 4.72508i | 0.162164 | + | 0.280877i | 0.935645 | − | 0.352943i | \(-0.114819\pi\) |
−0.773480 | + | 0.633820i | \(0.781486\pi\) | |||||||
\(284\) | 6.36959 | 0.377965 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 1.84255 | 0.108952 | ||||||||
\(287\) | −3.87939 | − | 6.71929i | −0.228993 | − | 0.396627i | ||||
\(288\) | 0.266044 | + | 0.460802i | 0.0156768 | + | 0.0271530i | ||||
\(289\) | 5.64590 | − | 9.77898i | 0.332112 | − | 0.575234i | ||||
\(290\) | −8.45336 | − | 14.6417i | −0.496399 | − | 0.859788i | ||||
\(291\) | −1.43969 | + | 2.49362i | −0.0843963 | + | 0.146179i | ||||
\(292\) | −4.55943 | −0.266820 | ||||||||
\(293\) | −17.8135 | −1.04067 | −0.520337 | − | 0.853961i | \(-0.674193\pi\) | ||||
−0.520337 | + | 0.853961i | \(0.674193\pi\) | |||||||
\(294\) | 17.5214 | − | 30.3480i | 1.02187 | − | 1.76993i | ||||
\(295\) | 0.716881 | − | 1.24168i | 0.0417384 | − | 0.0722931i | ||||
\(296\) | 4.82295 | 0.280328 | ||||||||
\(297\) | 6.54664 | 0.379874 | ||||||||
\(298\) | −7.18479 | + | 12.4444i | −0.416204 | + | 0.720886i | ||||
\(299\) | 2.00000 | + | 3.46410i | 0.115663 | + | 0.200334i | ||||
\(300\) | 0.939693 | − | 1.62760i | 0.0542532 | − | 0.0939693i | ||||
\(301\) | 1.92127 | + | 3.32774i | 0.110740 | + | 0.191808i | ||||
\(302\) | 10.4192 | + | 18.0466i | 0.599558 | + | 1.03847i | ||||
\(303\) | 16.5817 | 0.952595 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 19.5175 | 1.11757 | ||||||||
\(306\) | 0.635630 | + | 1.10094i | 0.0363365 | + | 0.0629367i | ||||
\(307\) | −14.3293 | − | 24.8192i | −0.817819 | − | 1.41650i | −0.907286 | − | 0.420514i | \(-0.861850\pi\) |
0.0894671 | − | 0.995990i | \(-0.471484\pi\) | |||||||
\(308\) | 3.57398 | − | 6.19031i | 0.203646 | − | 0.352726i | ||||
\(309\) | −6.71688 | − | 11.6340i | −0.382110 | − | 0.661834i | ||||
\(310\) | −0.369585 | + | 0.640140i | −0.0209910 | + | 0.0363575i | ||||
\(311\) | 15.8135 | 0.896699 | 0.448349 | − | 0.893858i | \(-0.352012\pi\) | ||||
0.448349 | + | 0.893858i | \(0.352012\pi\) | |||||||
\(312\) | −2.45336 | −0.138894 | ||||||||
\(313\) | −6.57011 | + | 11.3798i | −0.371364 | + | 0.643222i | −0.989776 | − | 0.142633i | \(-0.954443\pi\) |
0.618411 | + | 0.785855i | \(0.287777\pi\) | |||||||
\(314\) | 3.18479 | − | 5.51622i | 0.179728 | − | 0.311298i | ||||
\(315\) | 5.38919 | 0.303646 | ||||||||
\(316\) | 2.24123 | 0.126079 | ||||||||
\(317\) | −10.7023 | + | 18.5370i | −0.601103 | + | 1.04114i | 0.391551 | + | 0.920156i | \(0.371939\pi\) |
−0.992654 | + | 0.120985i | \(0.961395\pi\) | |||||||
\(318\) | −1.57398 | − | 2.72621i | −0.0882643 | − | 0.152878i | ||||
\(319\) | −5.96585 | + | 10.3332i | −0.334024 | + | 0.578546i | ||||
\(320\) | −1.00000 | − | 1.73205i | −0.0559017 | − | 0.0968246i | ||||
\(321\) | −8.80453 | − | 15.2499i | −0.491421 | − | 0.851166i | ||||
\(322\) | 15.5175 | 0.864759 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | −10.3131 | −0.572953 | ||||||||
\(325\) | 0.652704 | + | 1.13052i | 0.0362055 | + | 0.0627097i | ||||
\(326\) | 2.36571 | + | 4.09754i | 0.131025 | + | 0.226942i | ||||
\(327\) | 10.3969 | − | 18.0080i | 0.574951 | − | 0.995845i | ||||
\(328\) | 0.766044 | + | 1.32683i | 0.0422977 | + | 0.0732618i | ||||
\(329\) | 25.8580 | − | 44.7874i | 1.42560 | − | 2.46921i | ||||
\(330\) | 5.30541 | 0.292053 | ||||||||
\(331\) | 25.3979 | 1.39599 | 0.697996 | − | 0.716101i | \(-0.254075\pi\) | ||||
0.697996 | + | 0.716101i | \(0.254075\pi\) | |||||||
\(332\) | 1.99273 | − | 3.45150i | 0.109365 | − | 0.189426i | ||||
\(333\) | 1.28312 | − | 2.22243i | 0.0703145 | − | 0.121788i | ||||
\(334\) | 17.2763 | 0.945318 | ||||||||
\(335\) | 2.80747 | 0.153388 | ||||||||
\(336\) | −4.75877 | + | 8.24243i | −0.259612 | + | 0.449662i | ||||
\(337\) | 13.1887 | + | 22.8434i | 0.718432 | + | 1.24436i | 0.961621 | + | 0.274382i | \(0.0884733\pi\) |
−0.243188 | + | 0.969979i | \(0.578193\pi\) | |||||||
\(338\) | −5.64796 | + | 9.78255i | −0.307208 | + | 0.532100i | ||||
\(339\) | −12.4966 | − | 21.6447i | −0.678722 | − | 1.17558i | ||||
\(340\) | −2.38919 | − | 4.13819i | −0.129572 | − | 0.224425i | ||||
\(341\) | 0.521660 | 0.0282495 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 58.9769 | 3.18445 | ||||||||
\(344\) | −0.379385 | − | 0.657115i | −0.0204551 | − | 0.0354292i | ||||
\(345\) | 5.75877 | + | 9.97448i | 0.310042 | + | 0.537008i | ||||
\(346\) | −9.41147 | + | 16.3012i | −0.505964 | + | 0.876355i | ||||
\(347\) | 12.8157 | + | 22.1974i | 0.687981 | + | 1.19162i | 0.972490 | + | 0.232945i | \(0.0748363\pi\) |
−0.284508 | + | 0.958674i | \(0.591830\pi\) | |||||||
\(348\) | 7.94356 | − | 13.7587i | 0.425820 | − | 0.737541i | ||||
\(349\) | −5.84255 | −0.312744 | −0.156372 | − | 0.987698i | \(-0.549980\pi\) | ||||
−0.156372 | + | 0.987698i | \(0.549980\pi\) | |||||||
\(350\) | 5.06418 | 0.270692 | ||||||||
\(351\) | 3.02734 | − | 5.24351i | 0.161588 | − | 0.279878i | ||||
\(352\) | −0.705737 | + | 1.22237i | −0.0376159 | + | 0.0651527i | ||||
\(353\) | −22.4097 | −1.19275 | −0.596375 | − | 0.802706i | \(-0.703393\pi\) | ||||
−0.596375 | + | 0.802706i | \(0.703393\pi\) | |||||||
\(354\) | 1.34730 | 0.0716080 | ||||||||
\(355\) | −6.36959 | + | 11.0324i | −0.338062 | + | 0.585541i | ||||
\(356\) | −5.32295 | − | 9.21962i | −0.282116 | − | 0.488639i | ||||
\(357\) | −11.3696 | + | 19.6927i | −0.601742 | + | 1.04225i | ||||
\(358\) | 6.91400 | + | 11.9754i | 0.365416 | + | 0.632920i | ||||
\(359\) | −4.80840 | − | 8.32839i | −0.253778 | − | 0.439556i | 0.710785 | − | 0.703409i | \(-0.248340\pi\) |
−0.964563 | + | 0.263853i | \(0.915006\pi\) | |||||||
\(360\) | −1.06418 | −0.0560871 | ||||||||
\(361\) | 0 | 0 | ||||||||
\(362\) | 12.2567 | 0.644198 | ||||||||
\(363\) | 8.46451 | + | 14.6610i | 0.444271 | + | 0.769501i | ||||
\(364\) | −3.30541 | − | 5.72513i | −0.173250 | − | 0.300079i | ||||
\(365\) | 4.55943 | − | 7.89716i | 0.238651 | − | 0.413356i | ||||
\(366\) | 9.17024 | + | 15.8833i | 0.479336 | + | 0.830235i | ||||
\(367\) | −11.6800 | + | 20.2304i | −0.609693 | + | 1.05602i | 0.381597 | + | 0.924329i | \(0.375374\pi\) |
−0.991291 | + | 0.131691i | \(0.957959\pi\) | |||||||
\(368\) | −3.06418 | −0.159731 | ||||||||
\(369\) | 0.815207 | 0.0424380 | ||||||||
\(370\) | −4.82295 | + | 8.35359i | −0.250733 | + | 0.434283i | ||||
\(371\) | 4.24123 | − | 7.34603i | 0.220194 | − | 0.381387i | ||||
\(372\) | −0.694593 | −0.0360130 | ||||||||
\(373\) | 25.9418 | 1.34322 | 0.671608 | − | 0.740907i | \(-0.265604\pi\) | ||||
0.671608 | + | 0.740907i | \(0.265604\pi\) | |||||||
\(374\) | −1.68614 | + | 2.92047i | −0.0871881 | + | 0.151014i | ||||
\(375\) | 11.2763 | + | 19.5311i | 0.582306 | + | 1.00858i | ||||
\(376\) | −5.10607 | + | 8.84397i | −0.263325 | + | 0.456093i | ||||
\(377\) | 5.51754 | + | 9.55666i | 0.284168 | + | 0.492193i | ||||
\(378\) | −11.7442 | − | 20.3416i | −0.604058 | − | 1.04626i | ||||
\(379\) | −9.47834 | −0.486870 | −0.243435 | − | 0.969917i | \(-0.578274\pi\) | ||||
−0.243435 | + | 0.969917i | \(0.578274\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 10.7392 | 0.550184 | ||||||||
\(382\) | −10.0496 | − | 17.4065i | −0.514184 | − | 0.890592i | ||||
\(383\) | −6.74422 | − | 11.6813i | −0.344614 | − | 0.596888i | 0.640670 | − | 0.767816i | \(-0.278657\pi\) |
−0.985284 | + | 0.170928i | \(0.945323\pi\) | |||||||
\(384\) | 0.939693 | − | 1.62760i | 0.0479535 | − | 0.0830579i | ||||
\(385\) | 7.14796 | + | 12.3806i | 0.364294 | + | 0.630975i | ||||
\(386\) | −8.34255 | + | 14.4497i | −0.424625 | + | 0.735471i | ||||
\(387\) | −0.403733 | −0.0205229 | ||||||||
\(388\) | 1.53209 | 0.0777800 | ||||||||
\(389\) | 12.5740 | − | 21.7788i | 0.637526 | − | 1.10423i | −0.348448 | − | 0.937328i | \(-0.613291\pi\) |
0.985974 | − | 0.166899i | \(-0.0533755\pi\) | |||||||
\(390\) | 2.45336 | − | 4.24935i | 0.124231 | − | 0.215174i | ||||
\(391\) | −7.32089 | −0.370233 | ||||||||
\(392\) | −18.6459 | −0.941760 | ||||||||
\(393\) | 9.28359 | − | 16.0796i | 0.468295 | − | 0.811111i | ||||
\(394\) | 6.49525 | + | 11.2501i | 0.327226 | + | 0.566772i | ||||
\(395\) | −2.24123 | + | 3.88192i | −0.112768 | + | 0.195321i | ||||
\(396\) | 0.375515 | + | 0.650411i | 0.0188703 | + | 0.0326844i | ||||
\(397\) | −3.28312 | − | 5.68653i | −0.164775 | − | 0.285399i | 0.771800 | − | 0.635865i | \(-0.219356\pi\) |
−0.936575 | + | 0.350466i | \(0.886023\pi\) | |||||||
\(398\) | −17.1925 | −0.861784 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −1.00000 | −0.0500000 | ||||||||
\(401\) | −14.7554 | − | 25.5570i | −0.736848 | − | 1.27626i | −0.953908 | − | 0.300100i | \(-0.902980\pi\) |
0.217060 | − | 0.976158i | \(-0.430353\pi\) | |||||||
\(402\) | 1.31908 | + | 2.28471i | 0.0657896 | + | 0.113951i | ||||
\(403\) | 0.241230 | − | 0.417822i | 0.0120165 | − | 0.0208132i | ||||
\(404\) | −4.41147 | − | 7.64090i | −0.219479 | − | 0.380149i | ||||
\(405\) | 10.3131 | − | 17.8629i | 0.512464 | − | 0.887614i | ||||
\(406\) | 42.8093 | 2.12459 | ||||||||
\(407\) | 6.80747 | 0.337434 | ||||||||
\(408\) | 2.24510 | − | 3.88863i | 0.111149 | − | 0.192516i | ||||
\(409\) | 10.5655 | − | 18.3000i | 0.522431 | − | 0.904878i | −0.477228 | − | 0.878780i | \(-0.658358\pi\) |
0.999659 | − | 0.0260982i | \(-0.00830827\pi\) | |||||||
\(410\) | −3.06418 | −0.151329 | ||||||||
\(411\) | 10.1429 | 0.500313 | ||||||||
\(412\) | −3.57398 | + | 6.19031i | −0.176077 | + | 0.304975i | ||||
\(413\) | 1.81521 | + | 3.14403i | 0.0893205 | + | 0.154708i | ||||
\(414\) | −0.815207 | + | 1.41198i | −0.0400653 | + | 0.0693951i | ||||
\(415\) | 3.98545 | + | 6.90301i | 0.195638 | + | 0.338855i | ||||
\(416\) | 0.652704 | + | 1.13052i | 0.0320014 | + | 0.0554281i | ||||
\(417\) | −4.39693 | −0.215318 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −27.8830 | −1.36217 | −0.681087 | − | 0.732202i | \(-0.738492\pi\) | ||||
−0.681087 | + | 0.732202i | \(0.738492\pi\) | |||||||
\(420\) | −9.51754 | − | 16.4849i | −0.464408 | − | 0.804379i | ||||
\(421\) | −0.0222887 | − | 0.0386052i | −0.00108629 | − | 0.00188150i | 0.865482 | − | 0.500940i | \(-0.167012\pi\) |
−0.866568 | + | 0.499059i | \(0.833679\pi\) | |||||||
\(422\) | 8.05438 | − | 13.9506i | 0.392081 | − | 0.679104i | ||||
\(423\) | 2.71688 | + | 4.70578i | 0.132099 | + | 0.228803i | ||||
\(424\) | −0.837496 | + | 1.45059i | −0.0406724 | + | 0.0704467i | ||||
\(425\) | −2.38919 | −0.115893 | ||||||||
\(426\) | −11.9709 | −0.579992 | ||||||||
\(427\) | −24.7101 | + | 42.7991i | −1.19580 | + | 2.07119i | ||||
\(428\) | −4.68479 | + | 8.11430i | −0.226448 | + | 0.392219i | ||||
\(429\) | −3.46286 | −0.167188 | ||||||||
\(430\) | 1.51754 | 0.0731823 | ||||||||
\(431\) | −5.89393 | + | 10.2086i | −0.283901 | + | 0.491731i | −0.972342 | − | 0.233562i | \(-0.924962\pi\) |
0.688441 | + | 0.725292i | \(0.258295\pi\) | |||||||
\(432\) | 2.31908 | + | 4.01676i | 0.111577 | + | 0.193256i | ||||
\(433\) | 13.8229 | − | 23.9420i | 0.664289 | − | 1.15058i | −0.315189 | − | 0.949029i | \(-0.602068\pi\) |
0.979478 | − | 0.201553i | \(-0.0645987\pi\) | |||||||
\(434\) | −0.935822 | − | 1.62089i | −0.0449209 | − | 0.0778053i | ||||
\(435\) | 15.8871 | + | 27.5173i | 0.761729 | + | 1.31935i | ||||
\(436\) | −11.0642 | −0.529878 | ||||||||
\(437\) | 0 | 0 | ||||||||
\(438\) | 8.56893 | 0.409439 | ||||||||
\(439\) | 18.7246 | + | 32.4320i | 0.893677 | + | 1.54789i | 0.835433 | + | 0.549592i | \(0.185217\pi\) |
0.0582445 | + | 0.998302i | \(0.481450\pi\) | |||||||
\(440\) | −1.41147 | − | 2.44474i | −0.0672894 | − | 0.116549i | ||||
\(441\) | −4.96064 | + | 8.59208i | −0.236221 | + | 0.409146i | ||||
\(442\) | 1.55943 | + | 2.70101i | 0.0741745 | + | 0.128474i | ||||
\(443\) | −10.4941 | + | 18.1763i | −0.498588 | + | 0.863580i | −0.999999 | − | 0.00162930i | \(-0.999481\pi\) |
0.501410 | + | 0.865210i | \(0.332815\pi\) | |||||||
\(444\) | −9.06418 | −0.430167 | ||||||||
\(445\) | 21.2918 | 1.00933 | ||||||||
\(446\) | −2.04189 | + | 3.53666i | −0.0966862 | + | 0.167465i | ||||
\(447\) | 13.5030 | − | 23.3879i | 0.638670 | − | 1.10621i | ||||
\(448\) | 5.06418 | 0.239260 | ||||||||
\(449\) | 21.8949 | 1.03328 | 0.516641 | − | 0.856202i | \(-0.327182\pi\) | ||||
0.516641 | + | 0.856202i | \(0.327182\pi\) | |||||||
\(450\) | −0.266044 | + | 0.460802i | −0.0125415 | + | 0.0217224i | ||||
\(451\) | 1.08125 | + | 1.87278i | 0.0509142 | + | 0.0881859i | ||||
\(452\) | −6.64930 | + | 11.5169i | −0.312757 | + | 0.541711i | ||||
\(453\) | −19.5817 | − | 33.9165i | −0.920029 | − | 1.59354i | ||||
\(454\) | −6.83022 | − | 11.8303i | −0.320558 | − | 0.555223i | ||||
\(455\) | 13.2216 | 0.619840 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −13.0496 | −0.610436 | −0.305218 | − | 0.952283i | \(-0.598729\pi\) | ||||
−0.305218 | + | 0.952283i | \(0.598729\pi\) | |||||||
\(458\) | −2.61081 | − | 4.52206i | −0.121995 | − | 0.211302i | ||||
\(459\) | 5.54071 | + | 9.59679i | 0.258618 | + | 0.447940i | ||||
\(460\) | 3.06418 | − | 5.30731i | 0.142868 | − | 0.247455i | ||||
\(461\) | −2.20439 | − | 3.81812i | −0.102669 | − | 0.177828i | 0.810115 | − | 0.586272i | \(-0.199405\pi\) |
−0.912783 | + | 0.408444i | \(0.866072\pi\) | |||||||
\(462\) | −6.71688 | + | 11.6340i | −0.312498 | + | 0.541262i | ||||
\(463\) | 26.6655 | 1.23925 | 0.619625 | − | 0.784898i | \(-0.287285\pi\) | ||||
0.619625 | + | 0.784898i | \(0.287285\pi\) | |||||||
\(464\) | −8.45336 | −0.392438 | ||||||||
\(465\) | 0.694593 | − | 1.20307i | 0.0322110 | − | 0.0557910i | ||||
\(466\) | −13.5214 | + | 23.4198i | −0.626367 | + | 1.08490i | ||||
\(467\) | 30.1138 | 1.39350 | 0.696750 | − | 0.717314i | \(-0.254629\pi\) | ||||
0.696750 | + | 0.717314i | \(0.254629\pi\) | |||||||
\(468\) | 0.694593 | 0.0321076 | ||||||||
\(469\) | −3.55438 | + | 6.15636i | −0.164126 | + | 0.284274i | ||||
\(470\) | −10.2121 | − | 17.6879i | −0.471051 | − | 0.815884i | ||||
\(471\) | −5.98545 | + | 10.3671i | −0.275795 | + | 0.477691i | ||||
\(472\) | −0.358441 | − | 0.620838i | −0.0164986 | − | 0.0285764i | ||||
\(473\) | −0.535492 | − | 0.927500i | −0.0246220 | − | 0.0426465i | ||||
\(474\) | −4.21213 | −0.193470 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 12.0993 | 0.554569 | ||||||||
\(477\) | 0.445622 | + | 0.771841i | 0.0204036 | + | 0.0353402i | ||||
\(478\) | −0.142903 | − | 0.247516i | −0.00653625 | − | 0.0113211i | ||||
\(479\) | −4.08378 | + | 7.07331i | −0.186593 | + | 0.323188i | −0.944112 | − | 0.329625i | \(-0.893078\pi\) |
0.757519 | + | 0.652813i | \(0.226411\pi\) | |||||||
\(480\) | 1.87939 | + | 3.25519i | 0.0857818 | + | 0.148578i | ||||
\(481\) | 3.14796 | − | 5.45242i | 0.143534 | − | 0.248609i | ||||
\(482\) | 3.10101 | 0.141247 | ||||||||
\(483\) | −29.1634 | −1.32698 | ||||||||
\(484\) | 4.50387 | − | 7.80093i | 0.204721 | − | 0.354588i | ||||
\(485\) | −1.53209 | + | 2.65366i | −0.0695686 | + | 0.120496i | ||||
\(486\) | 5.46791 | 0.248029 | ||||||||
\(487\) | −26.5871 | −1.20478 | −0.602388 | − | 0.798203i | \(-0.705784\pi\) | ||||
−0.602388 | + | 0.798203i | \(0.705784\pi\) | |||||||
\(488\) | 4.87939 | − | 8.45134i | 0.220879 | − | 0.382574i | ||||
\(489\) | −4.44609 | − | 7.70085i | −0.201059 | − | 0.348245i | ||||
\(490\) | 18.6459 | − | 32.2956i | 0.842336 | − | 1.45897i | ||||
\(491\) | −19.4145 | − | 33.6268i | −0.876163 | − | 1.51756i | −0.855519 | − | 0.517771i | \(-0.826762\pi\) |
−0.0206436 | − | 0.999787i | \(-0.506572\pi\) | |||||||
\(492\) | −1.43969 | − | 2.49362i | −0.0649064 | − | 0.112421i | ||||
\(493\) | −20.1967 | −0.909611 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −1.50206 | −0.0675125 | ||||||||
\(496\) | 0.184793 | + | 0.320070i | 0.00829743 | + | 0.0143716i | ||||
\(497\) | −16.1284 | − | 27.9351i | −0.723456 | − | 1.25306i | ||||
\(498\) | −3.74510 | + | 6.48670i | −0.167822 | + | 0.290676i | ||||
\(499\) | −10.3293 | − | 17.8910i | −0.462405 | − | 0.800909i | 0.536675 | − | 0.843789i | \(-0.319680\pi\) |
−0.999080 | + | 0.0428800i | \(0.986347\pi\) | |||||||
\(500\) | 6.00000 | − | 10.3923i | 0.268328 | − | 0.464758i | ||||
\(501\) | −32.4688 | −1.45060 | ||||||||
\(502\) | 12.6578 | 0.564943 | ||||||||
\(503\) | −0.0368366 | + | 0.0638029i | −0.00164246 | + | 0.00284483i | −0.866845 | − | 0.498577i | \(-0.833856\pi\) |
0.865203 | + | 0.501422i | \(0.167189\pi\) | |||||||
\(504\) | 1.34730 | − | 2.33359i | 0.0600133 | − | 0.103946i | ||||
\(505\) | 17.6459 | 0.785232 | ||||||||
\(506\) | −4.32501 | −0.192270 | ||||||||
\(507\) | 10.6147 | − | 18.3852i | 0.471415 | − | 0.816514i | ||||
\(508\) | −2.85710 | − | 4.94864i | −0.126763 | − | 0.219560i | ||||
\(509\) | 7.50980 | − | 13.0074i | 0.332866 | − | 0.576541i | −0.650207 | − | 0.759758i | \(-0.725318\pi\) |
0.983073 | + | 0.183217i | \(0.0586510\pi\) | |||||||
\(510\) | 4.49020 | + | 7.77725i | 0.198829 | + | 0.344383i | ||||
\(511\) | 11.5449 | + | 19.9963i | 0.510716 | + | 0.884585i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −30.3928 | −1.34057 | ||||||||
\(515\) | −7.14796 | − | 12.3806i | −0.314977 | − | 0.545555i | ||||
\(516\) | 0.713011 | + | 1.23497i | 0.0313886 | + | 0.0543666i | ||||
\(517\) | −7.20708 | + | 12.4830i | −0.316967 | + | 0.549003i | ||||
\(518\) | −12.2121 | − | 21.1520i | −0.536570 | − | 0.929367i | ||||
\(519\) | 17.6878 | − | 30.6361i | 0.776408 | − | 1.34478i | ||||
\(520\) | −2.61081 | −0.114492 | ||||||||
\(521\) | −45.1712 | −1.97899 | −0.989493 | − | 0.144583i | \(-0.953816\pi\) | ||||
−0.989493 | + | 0.144583i | \(0.953816\pi\) | |||||||
\(522\) | −2.24897 | + | 3.89533i | −0.0984348 | + | 0.170494i | ||||
\(523\) | 0.0837781 | − | 0.145108i | 0.00366336 | − | 0.00634513i | −0.864188 | − | 0.503169i | \(-0.832167\pi\) |
0.867851 | + | 0.496824i | \(0.165501\pi\) | |||||||
\(524\) | −9.87939 | −0.431583 | ||||||||
\(525\) | −9.51754 | −0.415380 | ||||||||
\(526\) | 10.9513 | − | 18.9682i | 0.477500 | − | 0.827053i | ||||
\(527\) | 0.441504 | + | 0.764707i | 0.0192322 | + | 0.0333111i | ||||
\(528\) | 1.32635 | − | 2.29731i | 0.0577221 | − | 0.0999775i | ||||
\(529\) | 6.80541 | + | 11.7873i | 0.295887 | + | 0.512492i | ||||
\(530\) | −1.67499 | − | 2.90117i | −0.0727570 | − | 0.126019i | ||||
\(531\) | −0.381445 | −0.0165533 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 2.00000 | 0.0866296 | ||||||||
\(534\) | 10.0039 | + | 17.3272i | 0.432910 | + | 0.749822i | ||||
\(535\) | −9.36959 | − | 16.2286i | −0.405082 | − | 0.701623i | ||||
\(536\) | 0.701867 | − | 1.21567i | 0.0303160 | − | 0.0525089i | ||||
\(537\) | −12.9941 | − | 22.5064i | −0.560736 | − | 0.971222i | ||||
\(538\) | 0.716881 | − | 1.24168i | 0.0309070 | − | 0.0535324i | ||||
\(539\) | −26.3182 | −1.13361 | ||||||||
\(540\) | −9.27631 | −0.399189 | ||||||||
\(541\) | 0.490200 | − | 0.849051i | 0.0210753 | − | 0.0365036i | −0.855295 | − | 0.518141i | \(-0.826624\pi\) |
0.876371 | + | 0.481637i | \(0.159958\pi\) | |||||||
\(542\) | 8.08647 | − | 14.0062i | 0.347343 | − | 0.601617i | ||||
\(543\) | −23.0351 | −0.988530 | ||||||||
\(544\) | −2.38919 | −0.102435 | ||||||||
\(545\) | 11.0642 | − | 19.1637i | 0.473937 | − | 0.820883i | ||||
\(546\) | 6.21213 | + | 10.7597i | 0.265855 | + | 0.460474i | ||||
\(547\) | 14.2023 | − | 24.5992i | 0.607248 | − | 1.05178i | −0.384444 | − | 0.923148i | \(-0.625607\pi\) |
0.991692 | − | 0.128636i | \(-0.0410599\pi\) | |||||||
\(548\) | −2.69846 | − | 4.67388i | −0.115273 | − | 0.199658i | ||||
\(549\) | −2.59627 | − | 4.49687i | −0.110806 | − | 0.191922i | ||||
\(550\) | −1.41147 | −0.0601855 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | 5.75877 | 0.245110 | ||||||||
\(553\) | −5.67499 | − | 9.82938i | −0.241325 | − | 0.417988i | ||||
\(554\) | 5.55438 | + | 9.62046i | 0.235983 | + | 0.408734i | ||||
\(555\) | 9.06418 | − | 15.6996i | 0.384753 | − | 0.666412i | ||||
\(556\) | 1.16978 | + | 2.02611i | 0.0496096 | + | 0.0859264i | ||||
\(557\) | −17.8161 | + | 30.8585i | −0.754894 | + | 1.30751i | 0.190533 | + | 0.981681i | \(0.438978\pi\) |
−0.945427 | + | 0.325834i | \(0.894355\pi\) | |||||||
\(558\) | 0.196652 | 0.00832495 | ||||||||
\(559\) | −0.990505 | −0.0418939 | ||||||||
\(560\) | −5.06418 | + | 8.77141i | −0.214001 | + | 0.370660i | ||||
\(561\) | 3.16890 | − | 5.48870i | 0.133791 | − | 0.231733i | ||||
\(562\) | 4.24897 | 0.179232 | ||||||||
\(563\) | −8.62773 | −0.363615 | −0.181808 | − | 0.983334i | \(-0.558195\pi\) | ||||
−0.181808 | + | 0.983334i | \(0.558195\pi\) | |||||||
\(564\) | 9.59627 | − | 16.6212i | 0.404076 | − | 0.699880i | ||||
\(565\) | −13.2986 | − | 23.0339i | −0.559476 | − | 0.969041i | ||||
\(566\) | −2.72803 | + | 4.72508i | −0.114667 | + | 0.198610i | ||||
\(567\) | 26.1138 | + | 45.2304i | 1.09668 | + | 1.89950i | ||||
\(568\) | 3.18479 | + | 5.51622i | 0.133631 | + | 0.231456i | ||||
\(569\) | −22.3310 | −0.936164 | −0.468082 | − | 0.883685i | \(-0.655055\pi\) | ||||
−0.468082 | + | 0.883685i | \(0.655055\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −9.56448 | −0.400261 | −0.200131 | − | 0.979769i | \(-0.564137\pi\) | ||||
−0.200131 | + | 0.979769i | \(0.564137\pi\) | |||||||
\(572\) | 0.921274 | + | 1.59569i | 0.0385204 | + | 0.0667193i | ||||
\(573\) | 18.8871 | + | 32.7135i | 0.789021 | + | 1.36662i | ||||
\(574\) | 3.87939 | − | 6.71929i | 0.161922 | − | 0.280458i | ||||
\(575\) | −1.53209 | − | 2.65366i | −0.0638925 | − | 0.110665i | ||||
\(576\) | −0.266044 | + | 0.460802i | −0.0110852 | + | 0.0192001i | ||||
\(577\) | 22.4757 | 0.935674 | 0.467837 | − | 0.883815i | \(-0.345033\pi\) | ||||
0.467837 | + | 0.883815i | \(0.345033\pi\) | |||||||
\(578\) | 11.2918 | 0.469677 | ||||||||
\(579\) | 15.6789 | − | 27.1566i | 0.651591 | − | 1.12859i | ||||
\(580\) | 8.45336 | − | 14.6417i | 0.351007 | − | 0.607962i | ||||
\(581\) | −20.1830 | −0.837334 | ||||||||
\(582\) | −2.87939 | −0.119354 | ||||||||
\(583\) | −1.18210 | + | 2.04746i | −0.0489578 | + | 0.0847973i | ||||
\(584\) | −2.27972 | − | 3.94858i | −0.0943353 | − | 0.163393i | ||||
\(585\) | −0.694593 | + | 1.20307i | −0.0287179 | + | 0.0497408i | ||||
\(586\) | −8.90673 | − | 15.4269i | −0.367933 | − | 0.637279i | ||||
\(587\) | −2.07398 | − | 3.59224i | −0.0856022 | − | 0.148267i | 0.820045 | − | 0.572298i | \(-0.193948\pi\) |
−0.905648 | + | 0.424031i | \(0.860615\pi\) | |||||||
\(588\) | 35.0428 | 1.44514 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 1.43376 | 0.0590271 | ||||||||
\(591\) | −12.2071 | − | 21.1433i | −0.502132 | − | 0.869719i | ||||
\(592\) | 2.41147 | + | 4.17680i | 0.0991110 | + | 0.171665i | ||||
\(593\) | −5.20873 | + | 9.02179i | −0.213897 | + | 0.370480i | −0.952931 | − | 0.303188i | \(-0.901949\pi\) |
0.739034 | + | 0.673668i | \(0.235282\pi\) | |||||||
\(594\) | 3.27332 | + | 5.66955i | 0.134306 | + | 0.232625i | ||||
\(595\) | −12.0993 | + | 20.9565i | −0.496021 | + | 0.859134i | ||||
\(596\) | −14.3696 | −0.588601 | ||||||||
\(597\) | 32.3114 | 1.32242 | ||||||||
\(598\) | −2.00000 | + | 3.46410i | −0.0817861 | + | 0.141658i | ||||
\(599\) | −19.8280 | + | 34.3431i | −0.810150 | + | 1.40322i | 0.102608 | + | 0.994722i | \(0.467281\pi\) |
−0.912759 | + | 0.408499i | \(0.866052\pi\) | |||||||
\(600\) | 1.87939 | 0.0767256 | ||||||||
\(601\) | −23.8648 | −0.973467 | −0.486734 | − | 0.873551i | \(-0.661812\pi\) | ||||
−0.486734 | + | 0.873551i | \(0.661812\pi\) | |||||||
\(602\) | −1.92127 | + | 3.32774i | −0.0783053 | + | 0.135629i | ||||
\(603\) | −0.373455 | − | 0.646844i | −0.0152083 | − | 0.0263415i | ||||
\(604\) | −10.4192 | + | 18.0466i | −0.423952 | + | 0.734306i | ||||
\(605\) | 9.00774 | + | 15.6019i | 0.366217 | + | 0.634306i | ||||
\(606\) | 8.29086 | + | 14.3602i | 0.336793 | + | 0.583343i | ||||
\(607\) | 29.9317 | 1.21489 | 0.607445 | − | 0.794362i | \(-0.292194\pi\) | ||||
0.607445 | + | 0.794362i | \(0.292194\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −80.4552 | −3.26021 | ||||||||
\(610\) | 9.75877 | + | 16.9027i | 0.395121 | + | 0.684370i | ||||
\(611\) | 6.66550 | + | 11.5450i | 0.269657 | + | 0.467060i | ||||
\(612\) | −0.635630 | + | 1.10094i | −0.0256938 | + | 0.0445030i | ||||
\(613\) | 17.7888 | + | 30.8111i | 0.718483 | + | 1.24445i | 0.961601 | + | 0.274452i | \(0.0884965\pi\) |
−0.243118 | + | 0.969997i | \(0.578170\pi\) | |||||||
\(614\) | 14.3293 | − | 24.8192i | 0.578285 | − | 1.00162i | ||||
\(615\) | 5.75877 | 0.232216 | ||||||||
\(616\) | 7.14796 | 0.287999 | ||||||||
\(617\) | −6.01620 | + | 10.4204i | −0.242203 | + | 0.419508i | −0.961342 | − | 0.275359i | \(-0.911203\pi\) |
0.719139 | + | 0.694867i | \(0.244537\pi\) | |||||||
\(618\) | 6.71688 | − | 11.6340i | 0.270193 | − | 0.467987i | ||||
\(619\) | −17.1129 | −0.687824 | −0.343912 | − | 0.939002i | \(-0.611752\pi\) | ||||
−0.343912 | + | 0.939002i | \(0.611752\pi\) | |||||||
\(620\) | −0.739170 | −0.0296858 | ||||||||
\(621\) | −7.10607 | + | 12.3081i | −0.285157 | + | 0.493906i | ||||
\(622\) | 7.90673 | + | 13.6949i | 0.317031 | + | 0.549114i | ||||
\(623\) | −26.9564 | + | 46.6898i | −1.07998 | + | 1.87059i | ||||
\(624\) | −1.22668 | − | 2.12467i | −0.0491066 | − | 0.0850551i | ||||
\(625\) | 9.50000 | + | 16.4545i | 0.380000 | + | 0.658179i | ||||
\(626\) | −13.1402 | −0.525189 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 6.36959 | 0.254174 | ||||||||
\(629\) | 5.76146 | + | 9.97914i | 0.229724 | + | 0.397894i | ||||
\(630\) | 2.69459 | + | 4.66717i | 0.107355 | + | 0.185945i | ||||
\(631\) | −9.17024 | + | 15.8833i | −0.365062 | + | 0.632305i | −0.988786 | − | 0.149339i | \(-0.952285\pi\) |
0.623724 | + | 0.781644i | \(0.285619\pi\) | |||||||
\(632\) | 1.12061 | + | 1.94096i | 0.0445757 | + | 0.0772073i | ||||
\(633\) | −15.1373 | + | 26.2185i | −0.601653 | + | 1.04209i | ||||
\(634\) | −21.4047 | −0.850088 | ||||||||
\(635\) | 11.4284 | 0.453522 | ||||||||
\(636\) | 1.57398 | − | 2.72621i | 0.0624123 | − | 0.108101i | ||||
\(637\) | −12.1702 | + | 21.0795i | −0.482203 | + | 0.835199i | ||||
\(638\) | −11.9317 | −0.472381 | ||||||||
\(639\) | 3.38919 | 0.134074 | ||||||||
\(640\) | 1.00000 | − | 1.73205i | 0.0395285 | − | 0.0684653i | ||||
\(641\) | −15.5890 | − | 27.0009i | −0.615728 | − | 1.06647i | −0.990256 | − | 0.139257i | \(-0.955529\pi\) |
0.374528 | − | 0.927216i | \(-0.377805\pi\) | |||||||
\(642\) | 8.80453 | − | 15.2499i | 0.347487 | − | 0.601865i | ||||
\(643\) | 15.9748 | + | 27.6691i | 0.629984 | + | 1.09116i | 0.987554 | + | 0.157278i | \(0.0502717\pi\) |
−0.357571 | + | 0.933886i | \(0.616395\pi\) | |||||||
\(644\) | 7.75877 | + | 13.4386i | 0.305738 | + | 0.529554i | ||||
\(645\) | −2.85204 | −0.112299 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 2.99588 | 0.117780 | 0.0588901 | − | 0.998264i | \(-0.481244\pi\) | ||||
0.0588901 | + | 0.998264i | \(0.481244\pi\) | |||||||
\(648\) | −5.15657 | − | 8.93145i | −0.202569 | − | 0.350860i | ||||
\(649\) | −0.505930 | − | 0.876296i | −0.0198595 | − | 0.0343976i | ||||
\(650\) | −0.652704 | + | 1.13052i | −0.0256011 | + | 0.0443425i | ||||
\(651\) | 1.75877 | + | 3.04628i | 0.0689316 | + | 0.119393i | ||||
\(652\) | −2.36571 | + | 4.09754i | −0.0926485 | + | 0.160472i | ||||
\(653\) | 0.935822 | 0.0366216 | 0.0183108 | − | 0.999832i | \(-0.494171\pi\) | ||||
0.0183108 | + | 0.999832i | \(0.494171\pi\) | |||||||
\(654\) | 20.7939 | 0.813104 | ||||||||
\(655\) | 9.87939 | − | 17.1116i | 0.386020 | − | 0.668605i | ||||
\(656\) | −0.766044 | + | 1.32683i | −0.0299090 | + | 0.0518039i | ||||
\(657\) | −2.42602 | −0.0946481 | ||||||||
\(658\) | 51.7161 | 2.01610 | ||||||||
\(659\) | −6.11856 | + | 10.5976i | −0.238345 | + | 0.412826i | −0.960240 | − | 0.279177i | \(-0.909938\pi\) |
0.721894 | + | 0.692003i | \(0.243272\pi\) | |||||||
\(660\) | 2.65270 | + | 4.59462i | 0.103256 | + | 0.178845i | ||||
\(661\) | −5.97771 | + | 10.3537i | −0.232506 | + | 0.402712i | −0.958545 | − | 0.284941i | \(-0.908026\pi\) |
0.726039 | + | 0.687654i | \(0.241359\pi\) | |||||||
\(662\) | 12.6989 | + | 21.9952i | 0.493558 | + | 0.854867i | ||||
\(663\) | −2.93077 | − | 5.07624i | −0.113822 | − | 0.197145i | ||||
\(664\) | 3.98545 | 0.154666 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 2.56624 | 0.0994397 | ||||||||
\(667\) | −12.9513 | − | 22.4323i | −0.501476 | − | 0.868583i | ||||
\(668\) | 8.63816 | + | 14.9617i | 0.334220 | + | 0.578887i | ||||
\(669\) | 3.83750 | − | 6.64674i | 0.148366 | − | 0.256978i | ||||
\(670\) | 1.40373 | + | 2.43134i | 0.0542310 | + | 0.0939308i | ||||
\(671\) | 6.88713 | − | 11.9289i | 0.265875 | − | 0.460508i | ||||
\(672\) | −9.51754 | −0.367147 | ||||||||
\(673\) | −44.8634 | −1.72936 | −0.864679 | − | 0.502325i | \(-0.832478\pi\) | ||||
−0.864679 | + | 0.502325i | \(0.832478\pi\) | |||||||
\(674\) | −13.1887 | + | 22.8434i | −0.508008 | + | 0.879896i | ||||
\(675\) | −2.31908 | + | 4.01676i | −0.0892613 | + | 0.154605i | ||||
\(676\) | −11.2959 | −0.434458 | ||||||||
\(677\) | −0.945927 | −0.0363549 | −0.0181775 | − | 0.999835i | \(-0.505786\pi\) | ||||
−0.0181775 | + | 0.999835i | \(0.505786\pi\) | |||||||
\(678\) | 12.4966 | − | 21.6447i | 0.479929 | − | 0.831261i | ||||
\(679\) | −3.87939 | − | 6.71929i | −0.148877 | − | 0.257863i | ||||
\(680\) | 2.38919 | − | 4.13819i | 0.0916211 | − | 0.158692i | ||||
\(681\) | 12.8366 | + | 22.2337i | 0.491900 | + | 0.851996i | ||||
\(682\) | 0.260830 | + | 0.451771i | 0.00998769 | + | 0.0172992i | ||||
\(683\) | 5.92221 | 0.226607 | 0.113303 | − | 0.993560i | \(-0.463857\pi\) | ||||
0.113303 | + | 0.993560i | \(0.463857\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 10.7939 | 0.412412 | ||||||||
\(686\) | 29.4884 | + | 51.0755i | 1.12587 | + | 1.95007i | ||||
\(687\) | 4.90673 | + | 8.49870i | 0.187203 | + | 0.324246i | ||||
\(688\) | 0.379385 | − | 0.657115i | 0.0144639 | − | 0.0250523i | ||||
\(689\) | 1.09327 | + | 1.89361i | 0.0416504 | + | 0.0721406i | ||||
\(690\) | −5.75877 | + | 9.97448i | −0.219233 | + | 0.379722i | ||||
\(691\) | 0.206148 | 0.00784222 | 0.00392111 | − | 0.999992i | \(-0.498752\pi\) | ||||
0.00392111 | + | 0.999992i | \(0.498752\pi\) | |||||||
\(692\) | −18.8229 | −0.715541 | ||||||||
\(693\) | 1.90167 | − | 3.29380i | 0.0722386 | − | 0.125121i | ||||
\(694\) | −12.8157 | + | 22.1974i | −0.486476 | + | 0.842602i | ||||
\(695\) | −4.67911 | −0.177489 | ||||||||
\(696\) | 15.8871 | 0.602200 | ||||||||
\(697\) | −1.83022 | + | 3.17004i | −0.0693246 | + | 0.120074i | ||||
\(698\) | −2.92127 | − | 5.05980i | −0.110572 | − | 0.191516i | ||||
\(699\) | 25.4119 | − | 44.0148i | 0.961168 | − | 1.66479i | ||||
\(700\) | 2.53209 | + | 4.38571i | 0.0957040 | + | 0.165764i | ||||
\(701\) | −2.18479 | − | 3.78417i | −0.0825185 | − | 0.142926i | 0.821813 | − | 0.569758i | \(-0.192963\pi\) |
−0.904331 | + | 0.426832i | \(0.859630\pi\) | |||||||
\(702\) | 6.05468 | 0.228519 | ||||||||
\(703\) | 0 | 0 | ||||||||
\(704\) | −1.41147 | −0.0531969 | ||||||||
\(705\) | 19.1925 | + | 33.2424i | 0.722833 | + | 1.25198i | ||||
\(706\) | −11.2049 | − | 19.4074i | −0.421700 | − | 0.730407i | ||||
\(707\) | −22.3405 | + | 38.6949i | −0.840201 | + | 1.45527i | ||||
\(708\) | 0.673648 | + | 1.16679i | 0.0253172 | + | 0.0438508i | ||||
\(709\) | −4.37733 | + | 7.58175i | −0.164394 | + | 0.284739i | −0.936440 | − | 0.350828i | \(-0.885900\pi\) |
0.772046 | + | 0.635567i | \(0.219233\pi\) | |||||||
\(710\) | −12.7392 | −0.478093 | ||||||||
\(711\) | 1.19253 | 0.0447235 | ||||||||
\(712\) | 5.32295 | − | 9.21962i | 0.199486 | − | 0.345520i | ||||
\(713\) | −0.566237 | + | 0.980752i | −0.0212057 | + | 0.0367294i | ||||
\(714\) | −22.7392 | −0.850992 | ||||||||
\(715\) | −3.68510 | −0.137815 | ||||||||
\(716\) | −6.91400 | + | 11.9754i | −0.258388 | + | 0.447542i | ||||
\(717\) | 0.268571 | + | 0.465178i | 0.0100300 | + | 0.0173724i | ||||
\(718\) | 4.80840 | − | 8.32839i | 0.179448 | − | 0.310813i | ||||
\(719\) | 13.8033 | + | 23.9081i | 0.514778 | + | 0.891622i | 0.999853 | + | 0.0171491i | \(0.00545899\pi\) |
−0.485075 | + | 0.874473i | \(0.661208\pi\) | |||||||
\(720\) | −0.532089 | − | 0.921605i | −0.0198298 | − | 0.0343462i | ||||
\(721\) | 36.1985 | 1.34810 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −5.82800 | −0.216746 | ||||||||
\(724\) | 6.12836 | + | 10.6146i | 0.227759 | + | 0.394489i | ||||
\(725\) | −4.22668 | − | 7.32083i | −0.156975 | − | 0.271889i | ||||
\(726\) | −8.46451 | + | 14.6610i | −0.314147 | + | 0.544119i | ||||
\(727\) | −14.3182 | − | 24.7999i | −0.531033 | − | 0.919776i | −0.999344 | − | 0.0362121i | \(-0.988471\pi\) |
0.468311 | − | 0.883563i | \(-0.344863\pi\) | |||||||
\(728\) | 3.30541 | − | 5.72513i | 0.122507 | − | 0.212188i | ||||
\(729\) | 20.6631 | 0.765301 | ||||||||
\(730\) | 9.11886 | 0.337504 | ||||||||
\(731\) | 0.906422 | − | 1.56997i | 0.0335252 | − | 0.0580674i | ||||
\(732\) | −9.17024 | + | 15.8833i | −0.338942 | + | 0.587065i | ||||
\(733\) | 36.9614 | 1.36520 | 0.682600 | − | 0.730792i | \(-0.260849\pi\) | ||||
0.682600 | + | 0.730792i | \(0.260849\pi\) | |||||||
\(734\) | −23.3601 | −0.862237 | ||||||||
\(735\) | −35.0428 | + | 60.6959i | −1.29257 | + | 2.23880i | ||||
\(736\) | −1.53209 | − | 2.65366i | −0.0564735 | − | 0.0978151i | ||||
\(737\) | 0.990667 | − | 1.71588i | 0.0364917 | − | 0.0632054i | ||||
\(738\) | 0.407604 | + | 0.705990i | 0.0150041 | + | 0.0259879i | ||||
\(739\) | −23.0133 | − | 39.8601i | −0.846556 | − | 1.46628i | −0.884263 | − | 0.466990i | \(-0.845338\pi\) |
0.0377062 | − | 0.999289i | \(-0.487995\pi\) | |||||||
\(740\) | −9.64590 | −0.354590 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 8.48246 | 0.311401 | ||||||||
\(743\) | 13.2053 | + | 22.8723i | 0.484456 | + | 0.839103i | 0.999841 | − | 0.0178561i | \(-0.00568408\pi\) |
−0.515384 | + | 0.856959i | \(0.672351\pi\) | |||||||
\(744\) | −0.347296 | − | 0.601535i | −0.0127325 | − | 0.0220533i | ||||
\(745\) | 14.3696 | − | 24.8889i | 0.526461 | − | 0.911857i | ||||
\(746\) | 12.9709 | + | 22.4663i | 0.474899 | + | 0.822548i | ||||
\(747\) | 1.06031 | − | 1.83651i | 0.0387946 | − | 0.0671942i | ||||
\(748\) | −3.37227 | −0.123303 | ||||||||
\(749\) | 47.4492 | 1.73376 | ||||||||
\(750\) | −11.2763 | + | 19.5311i | −0.411753 | + | 0.713177i | ||||
\(751\) | −13.5885 | + | 23.5360i | −0.495852 | + | 0.858841i | −0.999989 | − | 0.00478269i | \(-0.998478\pi\) |
0.504136 | + | 0.863624i | \(0.331811\pi\) | |||||||
\(752\) | −10.2121 | −0.372398 | ||||||||
\(753\) | −23.7888 | −0.866912 | ||||||||
\(754\) | −5.51754 | + | 9.55666i | −0.200937 | + | 0.348033i | ||||
\(755\) | −20.8384 | − | 36.0932i | −0.758388 | − | 1.31357i | ||||
\(756\) | 11.7442 | − | 20.3416i | 0.427133 | − | 0.739816i | ||||
\(757\) | −9.70233 | − | 16.8049i | −0.352637 | − | 0.610786i | 0.634073 | − | 0.773273i | \(-0.281382\pi\) |
−0.986711 | + | 0.162487i | \(0.948048\pi\) | |||||||
\(758\) | −4.73917 | − | 8.20848i | −0.172134 | − | 0.298146i | ||||
\(759\) | 8.12836 | 0.295041 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 40.2645 | 1.45959 | 0.729793 | − | 0.683669i | \(-0.239617\pi\) | ||||
0.729793 | + | 0.683669i | \(0.239617\pi\) | |||||||
\(762\) | 5.36959 | + | 9.30039i | 0.194520 | + | 0.336918i | ||||
\(763\) | 28.0155 | + | 48.5242i | 1.01423 | + | 1.75670i | ||||
\(764\) | 10.0496 | − | 17.4065i | 0.363583 | − | 0.629744i | ||||
\(765\) | −1.27126 | − | 2.20189i | −0.0459625 | − | 0.0796093i | ||||
\(766\) | 6.74422 | − | 11.6813i | 0.243679 | − | 0.422064i | ||||
\(767\) | −0.935822 | −0.0337906 | ||||||||
\(768\) | 1.87939 | 0.0678165 | ||||||||
\(769\) | 19.4709 | − | 33.7246i | 0.702139 | − | 1.21614i | −0.265575 | − | 0.964090i | \(-0.585562\pi\) |
0.967714 | − | 0.252050i | \(-0.0811047\pi\) | |||||||
\(770\) | −7.14796 | + | 12.3806i | −0.257594 | + | 0.446167i | ||||
\(771\) | 57.1198 | 2.05712 | ||||||||
\(772\) | −16.6851 | −0.600510 | ||||||||
\(773\) | −3.38144 | + | 5.85683i | −0.121622 | + | 0.210656i | −0.920407 | − | 0.390960i | \(-0.872143\pi\) |
0.798785 | + | 0.601616i | \(0.205476\pi\) | |||||||
\(774\) | −0.201867 | − | 0.349643i | −0.00725595 | − | 0.0125677i | ||||
\(775\) | −0.184793 | + | 0.320070i | −0.00663794 | + | 0.0114973i | ||||
\(776\) | 0.766044 | + | 1.32683i | 0.0274994 | + | 0.0476303i | ||||
\(777\) | 22.9513 | + | 39.7528i | 0.823373 | + | 1.42612i | ||||
\(778\) | 25.1480 | 0.901598 | ||||||||
\(779\) | 0 | 0 | ||||||||
\(780\) | 4.90673 | 0.175689 | ||||||||
\(781\) | 4.49525 | + | 7.78601i | 0.160853 | + | 0.278605i | ||||
\(782\) | −3.66044 | − | 6.34008i | −0.130897 | − | 0.226721i | ||||
\(783\) | −19.6040 | + | 33.9551i | −0.700590 | + | 1.21346i | ||||
\(784\) | −9.32295 | − | 16.1478i | −0.332962 | − | 0.576708i | ||||
\(785\) | −6.36959 | + | 11.0324i | −0.227340 | + | 0.393765i | ||||
\(786\) | 18.5672 | 0.662269 | ||||||||
\(787\) | −5.80478 | −0.206918 | −0.103459 | − | 0.994634i | \(-0.532991\pi\) | ||||
−0.103459 | + | 0.994634i | \(0.532991\pi\) | |||||||
\(788\) | −6.49525 | + | 11.2501i | −0.231384 | + | 0.400768i | ||||
\(789\) | −20.5817 | + | 35.6486i | −0.732729 | + | 1.26912i | ||||
\(790\) | −4.48246 | −0.159479 | ||||||||
\(791\) | 67.3465 | 2.39456 | ||||||||
\(792\) | −0.375515 | + | 0.650411i | −0.0133433 | + | 0.0231113i | ||||
\(793\) | −6.36959 | − | 11.0324i | −0.226191 | − | 0.391774i | ||||
\(794\) | 3.28312 | − | 5.68653i | 0.116514 | − | 0.201807i | ||||
\(795\) | 3.14796 | + | 5.45242i | 0.111646 | + | 0.193377i | ||||
\(796\) | −8.59627 | − | 14.8892i | −0.304687 | − | 0.527733i | ||||
\(797\) | 39.2181 | 1.38918 | 0.694589 | − | 0.719407i | \(-0.255586\pi\) | ||||
0.694589 | + | 0.719407i | \(0.255586\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −24.3987 | −0.863163 | ||||||||
\(800\) | −0.500000 | − | 0.866025i | −0.0176777 | − | 0.0306186i | ||||
\(801\) | −2.83228 | − | 4.90566i | −0.100074 | − | 0.173333i | ||||
\(802\) | 14.7554 | − | 25.5570i | 0.521030 | − | 0.902451i | ||||
\(803\) | −3.21776 | − | 5.57332i | −0.113552 | − | 0.196678i | ||||
\(804\) | −1.31908 | + | 2.28471i | −0.0465203 | + | 0.0805755i | ||||
\(805\) | −31.0351 | −1.09384 | ||||||||
\(806\) | 0.482459 | 0.0169939 | ||||||||
\(807\) | −1.34730 | + | 2.33359i | −0.0474271 | + | 0.0821461i | ||||
\(808\) | 4.41147 | − | 7.64090i | 0.155195 | − | 0.268806i | ||||
\(809\) | 7.00269 | 0.246201 | 0.123101 | − | 0.992394i | \(-0.460716\pi\) | ||||
0.123101 | + | 0.992394i | \(0.460716\pi\) | |||||||
\(810\) | 20.6263 | 0.724734 | ||||||||
\(811\) | 21.8425 | − | 37.8324i | 0.766996 | − | 1.32848i | −0.172189 | − | 0.985064i | \(-0.555084\pi\) |
0.939185 | − | 0.343412i | \(-0.111583\pi\) | |||||||
\(812\) | 21.4047 | + | 37.0740i | 0.751157 | + | 1.30104i | ||||
\(813\) | −15.1976 | + | 26.3230i | −0.533003 | + | 0.923188i | ||||
\(814\) | 3.40373 | + | 5.89544i | 0.119301 | + | 0.206635i | ||||
\(815\) | −4.73143 | − | 8.19508i | −0.165735 | − | 0.287061i | ||||
\(816\) | 4.49020 | 0.157188 | ||||||||
\(817\) | 0 | 0 | ||||||||
\(818\) | 21.1310 | 0.738830 | ||||||||
\(819\) | −1.75877 | − | 3.04628i | −0.0614564 | − | 0.106446i | ||||
\(820\) | −1.53209 | − | 2.65366i | −0.0535029 | − | 0.0926697i | ||||
\(821\) | −6.19253 | + | 10.7258i | −0.216121 | + | 0.374332i | −0.953619 | − | 0.301017i | \(-0.902674\pi\) |
0.737498 | + | 0.675349i | \(0.236007\pi\) | |||||||
\(822\) | 5.07145 | + | 8.78401i | 0.176887 | + | 0.306378i | ||||
\(823\) | 6.41416 | − | 11.1097i | 0.223584 | − | 0.387258i | −0.732310 | − | 0.680971i | \(-0.761558\pi\) |
0.955894 | + | 0.293713i | \(0.0948911\pi\) | |||||||
\(824\) | −7.14796 | −0.249011 | ||||||||
\(825\) | 2.65270 | 0.0923553 | ||||||||
\(826\) | −1.81521 | + | 3.14403i | −0.0631591 | + | 0.109395i | ||||
\(827\) | 12.5483 | − | 21.7343i | 0.436347 | − | 0.755775i | −0.561058 | − | 0.827777i | \(-0.689605\pi\) |
0.997404 | + | 0.0720020i | \(0.0229388\pi\) | |||||||
\(828\) | −1.63041 | −0.0566608 | ||||||||
\(829\) | −28.3269 | −0.983833 | −0.491917 | − | 0.870642i | \(-0.663703\pi\) | ||||
−0.491917 | + | 0.870642i | \(0.663703\pi\) | |||||||
\(830\) | −3.98545 | + | 6.90301i | −0.138337 | + | 0.239607i | ||||
\(831\) | −10.4388 | − | 18.0806i | −0.362118 | − | 0.627208i | ||||
\(832\) | −0.652704 | + | 1.13052i | −0.0226284 | + | 0.0391936i | ||||
\(833\) | −22.2743 | − | 38.5801i | −0.771757 | − | 1.33672i | ||||
\(834\) | −2.19846 | − | 3.80785i | −0.0761266 | − | 0.131855i | ||||
\(835\) | −34.5526 | −1.19574 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 1.71419 | 0.0592512 | ||||||||
\(838\) | −13.9415 | − | 24.1474i | −0.481601 | − | 0.834158i | ||||
\(839\) | −15.1652 | − | 26.2669i | −0.523561 | − | 0.906834i | −0.999624 | − | 0.0274225i | \(-0.991270\pi\) |
0.476063 | − | 0.879411i | \(-0.342063\pi\) | |||||||
\(840\) | 9.51754 | − | 16.4849i | 0.328386 | − | 0.568782i | ||||
\(841\) | −21.2297 | − | 36.7709i | −0.732058 | − | 1.26796i | ||||
\(842\) | 0.0222887 | − | 0.0386052i | 0.000768120 | − | 0.00133042i | ||||
\(843\) | −7.98545 | −0.275034 | ||||||||
\(844\) | 16.1088 | 0.554486 | ||||||||
\(845\) | 11.2959 | − | 19.5651i | 0.388591 | − | 0.673060i | ||||
\(846\) | −2.71688 | + | 4.70578i | −0.0934083 | + | 0.161788i | ||||
\(847\) | −45.6168 | −1.56741 | ||||||||
\(848\) | −1.67499 | −0.0575195 | ||||||||
\(849\) | 5.12701 | − | 8.88024i | 0.175959 | − | 0.304769i | ||||
\(850\) | −1.19459 | − | 2.06910i | −0.0409742 | − | 0.0709694i | ||||
\(851\) | −7.38919 | + | 12.7984i | −0.253298 | + | 0.438725i | ||||
\(852\) | −5.98545 | − | 10.3671i | −0.205058 | − | 0.355171i | ||||
\(853\) | 21.8161 | + | 37.7867i | 0.746970 | + | 1.29379i | 0.949268 | + | 0.314467i | \(0.101826\pi\) |
−0.202298 | + | 0.979324i | \(0.564841\pi\) | |||||||
\(854\) | −49.4201 | −1.69112 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −9.36959 | −0.320246 | ||||||||
\(857\) | −15.7549 | − | 27.2883i | −0.538177 | − | 0.932150i | −0.999002 | − | 0.0446592i | \(-0.985780\pi\) |
0.460825 | − | 0.887491i | \(-0.347554\pi\) | |||||||
\(858\) | −1.73143 | − | 2.99892i | −0.0591100 | − | 0.102382i | ||||
\(859\) | 9.34895 | − | 16.1928i | 0.318982 | − | 0.552493i | −0.661294 | − | 0.750127i | \(-0.729992\pi\) |
0.980276 | + | 0.197634i | \(0.0633257\pi\) | |||||||
\(860\) | 0.758770 | + | 1.31423i | 0.0258739 | + | 0.0448148i | ||||
\(861\) | −7.29086 | + | 12.6281i | −0.248472 | + | 0.430366i | ||||
\(862\) | −11.7879 | −0.401496 | ||||||||
\(863\) | −10.6263 | −0.361723 | −0.180862 | − | 0.983509i | \(-0.557889\pi\) | ||||
−0.180862 | + | 0.983509i | \(0.557889\pi\) | |||||||
\(864\) | −2.31908 | + | 4.01676i | −0.0788966 | + | 0.136653i | ||||
\(865\) | 18.8229 | − | 32.6023i | 0.639999 | − | 1.10851i | ||||
\(866\) | 27.6459 | 0.939446 | ||||||||
\(867\) | −21.2216 | −0.720724 | ||||||||
\(868\) | 0.935822 | − | 1.62089i | 0.0317639 | − | 0.0550166i | ||||
\(869\) | 1.58172 | + | 2.73962i | 0.0536561 | + | 0.0929351i | ||||
\(870\) | −15.8871 | + | 27.5173i | −0.538624 | + | 0.932924i | ||||
\(871\) | −0.916222 | − | 1.58694i | −0.0310450 | − | 0.0537715i | ||||
\(872\) | −5.53209 | − | 9.58186i | −0.187340 | − | 0.324483i | ||||
\(873\) | 0.815207 | 0.0275906 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −60.7701 | −2.05441 | ||||||||
\(876\) | 4.28446 | + | 7.42091i | 0.144759 | + | 0.250729i | ||||
\(877\) | 22.4492 | + | 38.8832i | 0.758057 | + | 1.31299i | 0.943840 | + | 0.330403i | \(0.107185\pi\) |
−0.185783 | + | 0.982591i | \(0.559482\pi\) | |||||||
\(878\) | −18.7246 | + | 32.4320i | −0.631925 | + | 1.09453i | ||||
\(879\) | 16.7392 | + | 28.9931i | 0.564598 | + | 0.977913i | ||||
\(880\) | 1.41147 | − | 2.44474i | 0.0475808 | − | 0.0824123i | ||||
\(881\) | −18.0164 | −0.606988 | −0.303494 | − | 0.952833i | \(-0.598153\pi\) | ||||
−0.303494 | + | 0.952833i | \(0.598153\pi\) | |||||||
\(882\) | −9.92127 | −0.334067 | ||||||||
\(883\) | 23.2991 | − | 40.3552i | 0.784076 | − | 1.35806i | −0.145473 | − | 0.989362i | \(-0.546471\pi\) |
0.929549 | − | 0.368697i | \(-0.120196\pi\) | |||||||
\(884\) | −1.55943 | + | 2.70101i | −0.0524493 | + | 0.0908449i | ||||
\(885\) | −2.69459 | −0.0905777 | ||||||||
\(886\) | −20.9881 | −0.705110 | ||||||||
\(887\) | 3.53983 | − | 6.13116i | 0.118856 | − | 0.205864i | −0.800459 | − | 0.599388i | \(-0.795411\pi\) |
0.919315 | + | 0.393524i | \(0.128744\pi\) | |||||||
\(888\) | −4.53209 | − | 7.84981i | −0.152087 | − | 0.263422i | ||||
\(889\) | −14.4688 | + | 25.0608i | −0.485269 | + | 0.840511i | ||||
\(890\) | 10.6459 | + | 18.4392i | 0.356851 | + | 0.618085i | ||||
\(891\) | −7.27837 | − | 12.6065i | −0.243835 | − | 0.422334i | ||||
\(892\) | −4.08378 | −0.136735 | ||||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | 27.0060 | 0.903215 | ||||||||
\(895\) | −13.8280 | − | 23.9508i | −0.462219 | − | 0.800587i | ||||
\(896\) | 2.53209 | + | 4.38571i | 0.0845912 | + | 0.146516i | ||||
\(897\) | 3.75877 | − | 6.51038i | 0.125502 | − | 0.217375i | ||||
\(898\) | 10.9474 | + | 18.9615i | 0.365321 | + | 0.632754i | ||||
\(899\) | −1.56212 | + | 2.70567i | −0.0520996 | + | 0.0902391i | ||||
\(900\) | −0.532089 | −0.0177363 | ||||||||
\(901\) | −4.00187 | −0.133322 | ||||||||
\(902\) | −1.08125 | + | 1.87278i | −0.0360018 | + | 0.0623569i | ||||
\(903\) | 3.61081 | − | 6.25411i | 0.120160 | − | 0.208124i | ||||
\(904\) | −13.2986 | −0.442305 | ||||||||
\(905\) | −24.5134 | −0.814854 | ||||||||
\(906\) | 19.5817 | − | 33.9165i | 0.650559 | − | 1.12680i | ||||
\(907\) | 7.55778 | + | 13.0905i | 0.250952 | + | 0.434662i | 0.963788 | − | 0.266669i | \(-0.0859230\pi\) |
−0.712836 | + | 0.701331i | \(0.752590\pi\) | |||||||
\(908\) | 6.83022 | − | 11.8303i | 0.226669 | − | 0.392602i | ||||
\(909\) | −2.34730 | − | 4.06564i | −0.0778549 | − | 0.134849i | ||||
\(910\) | 6.61081 | + | 11.4503i | 0.219146 | + | 0.379573i | ||||
\(911\) | 12.8366 | 0.425294 | 0.212647 | − | 0.977129i | \(-0.431792\pi\) | ||||
0.212647 | + | 0.977129i | \(0.431792\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 5.62536 | 0.186172 | ||||||||
\(914\) | −6.52481 | − | 11.3013i | −0.215822 | − | 0.373814i | ||||
\(915\) | −18.3405 | − | 31.7667i | −0.606318 | − | 1.05017i | ||||
\(916\) | 2.61081 | − | 4.52206i | 0.0862637 | − | 0.149413i | ||||
\(917\) | 25.0155 | + | 43.3281i | 0.826084 | + | 1.43082i | ||||
\(918\) | −5.54071 | + | 9.59679i | −0.182871 | + | 0.316741i | ||||
\(919\) | −20.6791 | −0.682141 | −0.341070 | − | 0.940038i | \(-0.610789\pi\) | ||||
−0.341070 | + | 0.940038i | \(0.610789\pi\) | |||||||
\(920\) | 6.12836 | 0.202046 | ||||||||
\(921\) | −26.9304 | + | 46.6448i | −0.887386 | + | 1.53700i | ||||
\(922\) | 2.20439 | − | 3.81812i | 0.0725978 | − | 0.125743i | ||||
\(923\) | 8.31490 | 0.273688 | ||||||||
\(924\) | −13.4338 | −0.441938 | ||||||||
\(925\) | −2.41147 | + | 4.17680i | −0.0792888 | + | 0.137332i | ||||
\(926\) | 13.3327 | + | 23.0930i | 0.438141 | + | 0.758883i | ||||
\(927\) | −1.90167 | + | 3.29380i | −0.0624592 | + | 0.108182i | ||||
\(928\) | −4.22668 | − | 7.32083i | −0.138748 | − | 0.240318i | ||||
\(929\) | 9.12495 | + | 15.8049i | 0.299380 | + | 0.518541i | 0.975994 | − | 0.217796i | \(-0.0698869\pi\) |
−0.676614 | + | 0.736338i | \(0.736554\pi\) | |||||||
\(930\) | 1.38919 | 0.0455532 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −27.0428 | −0.885817 | ||||||||
\(933\) | −14.8598 | − | 25.7379i | −0.486488 | − | 0.842621i | ||||
\(934\) | 15.0569 | + | 26.0793i | 0.492677 | + | 0.853341i | ||||
\(935\) | 3.37227 | − | 5.84095i | 0.110285 | − | 0.191019i | ||||
\(936\) | 0.347296 | + | 0.601535i | 0.0113517 | + | 0.0196618i | ||||
\(937\) | 2.37346 | − | 4.11095i | 0.0775374 | − | 0.134299i | −0.824649 | − | 0.565644i | \(-0.808628\pi\) |
0.902187 | + | 0.431345i | \(0.141961\pi\) | |||||||
\(938\) | −7.10876 | −0.232109 | ||||||||
\(939\) | 24.6955 | 0.805908 | ||||||||
\(940\) | 10.2121 | − | 17.6879i | 0.333083 | − | 0.576917i | ||||
\(941\) | 23.5107 | − | 40.7218i | 0.766428 | − | 1.32749i | −0.173060 | − | 0.984911i | \(-0.555366\pi\) |
0.939488 | − | 0.342581i | \(-0.111301\pi\) | |||||||
\(942\) | −11.9709 | −0.390033 | ||||||||
\(943\) | −4.69459 | −0.152877 | ||||||||
\(944\) | 0.358441 | − | 0.620838i | 0.0116663 | − | 0.0202065i | ||||
\(945\) | 23.4884 | + | 40.6832i | 0.764079 | + | 1.32342i | ||||
\(946\) | 0.535492 | − | 0.927500i | 0.0174104 | − | 0.0301556i | ||||
\(947\) | −18.4979 | − | 32.0394i | −0.601102 | − | 1.04114i | −0.992654 | − | 0.120984i | \(-0.961395\pi\) |
0.391552 | − | 0.920156i | \(-0.371938\pi\) | |||||||
\(948\) | −2.10607 | − | 3.64781i | −0.0684019 | − | 0.118476i | ||||
\(949\) | −5.95191 | −0.193207 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 40.2276 | 1.30447 | ||||||||
\(952\) | 6.04963 | + | 10.4783i | 0.196070 | + | 0.339603i | ||||
\(953\) | −18.8546 | − | 32.6572i | −0.610761 | − | 1.05787i | −0.991112 | − | 0.133027i | \(-0.957530\pi\) |
0.380351 | − | 0.924842i | \(-0.375803\pi\) | |||||||
\(954\) | −0.445622 | + | 0.771841i | −0.0144276 | + | 0.0249893i | ||||
\(955\) | 20.0993 | + | 34.8129i | 0.650397 | + | 1.12652i | ||||
\(956\) | 0.142903 | − | 0.247516i | 0.00462183 | − | 0.00800524i | ||||
\(957\) | 22.4243 | 0.724874 | ||||||||
\(958\) | −8.16756 | −0.263882 | ||||||||
\(959\) | −13.6655 | + | 23.6693i | −0.441282 | + | 0.764323i | ||||
\(960\) | −1.87939 | + | 3.25519i | −0.0606569 | + | 0.105061i | ||||
\(961\) | −30.8634 | −0.995594 | ||||||||
\(962\) | 6.29591 | 0.202988 | ||||||||
\(963\) | −2.49273 | + | 4.31753i | −0.0803270 | + | 0.139130i | ||||
\(964\) | 1.55051 | + | 2.68556i | 0.0499385 | + | 0.0864960i | ||||
\(965\) | 16.6851 | − | 28.8994i | 0.537112 | − | 0.930306i | ||||
\(966\) | −14.5817 | − | 25.2563i | −0.469159 | − | 0.812607i | ||||
\(967\) | −20.2567 | − | 35.0857i | −0.651412 | − | 1.12828i | −0.982780 | − | 0.184777i | \(-0.940844\pi\) |
0.331369 | − | 0.943501i | \(-0.392490\pi\) | |||||||
\(968\) | 9.00774 | 0.289520 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −3.06418 | −0.0983848 | ||||||||
\(971\) | −7.03895 | − | 12.1918i | −0.225891 | − | 0.391254i | 0.730696 | − | 0.682703i | \(-0.239196\pi\) |
−0.956586 | + | 0.291449i | \(0.905863\pi\) | |||||||
\(972\) | 2.73396 | + | 4.73535i | 0.0876917 | + | 0.151886i | ||||
\(973\) | 5.92396 | − | 10.2606i | 0.189914 | − | 0.328940i | ||||
\(974\) | −13.2935 | − | 23.0251i | −0.425953 | − | 0.737772i | ||||
\(975\) | 1.22668 | − | 2.12467i | 0.0392853 | − | 0.0680441i | ||||
\(976\) | 9.75877 | 0.312371 | ||||||||
\(977\) | 35.2057 | 1.12633 | 0.563164 | − | 0.826345i | \(-0.309584\pi\) | ||||
0.563164 | + | 0.826345i | \(0.309584\pi\) | |||||||
\(978\) | 4.44609 | − | 7.70085i | 0.142170 | − | 0.246246i | ||||
\(979\) | 7.51320 | − | 13.0133i | 0.240123 | − | 0.415905i | ||||
\(980\) | 37.2918 | 1.19124 | ||||||||
\(981\) | −5.88713 | −0.187961 | ||||||||
\(982\) | 19.4145 | − | 33.6268i | 0.619541 | − | 1.07308i | ||||
\(983\) | 11.2199 | + | 19.4334i | 0.357858 | + | 0.619829i | 0.987603 | − | 0.156973i | \(-0.0501737\pi\) |
−0.629744 | + | 0.776802i | \(0.716840\pi\) | |||||||
\(984\) | 1.43969 | − | 2.49362i | 0.0458957 | − | 0.0794937i | ||||
\(985\) | −12.9905 | − | 22.5002i | −0.413912 | − | 0.716916i | ||||
\(986\) | −10.0983 | − | 17.4908i | −0.321596 | − | 0.557021i | ||||
\(987\) | −97.1944 | −3.09373 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 2.32501 | 0.0739309 | ||||||||
\(990\) | −0.751030 | − | 1.30082i | −0.0238693 | − | 0.0413428i | ||||
\(991\) | 13.5517 | + | 23.4722i | 0.430484 | + | 0.745619i | 0.996915 | − | 0.0784895i | \(-0.0250097\pi\) |
−0.566431 | + | 0.824109i | \(0.691676\pi\) | |||||||
\(992\) | −0.184793 | + | 0.320070i | −0.00586717 | + | 0.0101622i | ||||
\(993\) | −23.8662 | − | 41.3374i | −0.757370 | − | 1.31180i | ||||
\(994\) | 16.1284 | − | 27.9351i | 0.511560 | − | 0.886049i | ||||
\(995\) | 34.3851 | 1.09008 | ||||||||
\(996\) | −7.49020 | −0.237336 | ||||||||
\(997\) | −13.9736 | + | 24.2030i | −0.442548 | + | 0.766516i | −0.997878 | − | 0.0651145i | \(-0.979259\pi\) |
0.555330 | + | 0.831630i | \(0.312592\pi\) | |||||||
\(998\) | 10.3293 | − | 17.8910i | 0.326970 | − | 0.566328i | ||||
\(999\) | 22.3696 | 0.707742 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))