Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [675,2,Mod(76,675)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(675, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([14, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("675.76");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 675 = 3^{3} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 675.l (of order \(9\), degree \(6\), 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: | \(5.38990213644\) |
Analytic rank: | \(0\) |
Dimension: | \(66\) |
Relative dimension: | \(11\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 76.4 | ||
Character | \(\chi\) | \(=\) | 675.76 |
Dual form | 675.2.l.f.151.4 |
$q$-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 \(\left(\mathbb{Z}/675\mathbb{Z}\right)^\times\).
\(n\) | \(326\) | \(352\) |
\(\chi(n)\) | \(e\left(\frac{7}{9}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.01600 | + | 0.852522i | −0.718418 | + | 0.602824i | −0.926947 | − | 0.375192i | \(-0.877577\pi\) |
0.208529 | + | 0.978016i | \(0.433132\pi\) | |||||||
\(3\) | 0.196018 | + | 1.72092i | 0.113171 | + | 0.993576i | ||||
\(4\) | −0.0418420 | + | 0.237298i | −0.0209210 | + | 0.118649i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −1.66628 | − | 1.58134i | −0.680255 | − | 0.645580i | ||||
\(7\) | −0.769922 | − | 4.36644i | −0.291003 | − | 1.65036i | −0.683018 | − | 0.730402i | \(-0.739333\pi\) |
0.392015 | − | 0.919959i | \(-0.371778\pi\) | |||||||
\(8\) | −1.48608 | − | 2.57396i | −0.525408 | − | 0.910034i | ||||
\(9\) | −2.92315 | + | 0.674663i | −0.974385 | + | 0.224888i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 3.91123 | + | 1.42357i | 1.17928 | + | 0.429223i | 0.855947 | − | 0.517063i | \(-0.172975\pi\) |
0.323332 | + | 0.946286i | \(0.395197\pi\) | |||||||
\(12\) | −0.416573 | − | 0.0254923i | −0.120254 | − | 0.00735900i | ||||
\(13\) | −1.15946 | − | 0.972900i | −0.321576 | − | 0.269834i | 0.467681 | − | 0.883897i | \(-0.345090\pi\) |
−0.789257 | + | 0.614063i | \(0.789534\pi\) | |||||||
\(14\) | 4.50473 | + | 3.77991i | 1.20394 | + | 1.01022i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 3.25136 | + | 1.18340i | 0.812839 | + | 0.295849i | ||||
\(17\) | 0.568932 | − | 0.985419i | 0.137986 | − | 0.238999i | −0.788748 | − | 0.614717i | \(-0.789270\pi\) |
0.926734 | + | 0.375717i | \(0.122604\pi\) | |||||||
\(18\) | 2.39475 | − | 3.17751i | 0.564448 | − | 0.748946i | ||||
\(19\) | −3.37499 | − | 5.84565i | −0.774275 | − | 1.34108i | −0.935201 | − | 0.354118i | \(-0.884781\pi\) |
0.160926 | − | 0.986967i | \(-0.448552\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 7.36340 | − | 2.18088i | 1.60683 | − | 0.475906i | ||||
\(22\) | −5.18742 | + | 1.88807i | −1.10596 | + | 0.402537i | ||||
\(23\) | 1.38642 | − | 7.86279i | 0.289089 | − | 1.63950i | −0.401215 | − | 0.915984i | \(-0.631412\pi\) |
0.690303 | − | 0.723520i | \(-0.257477\pi\) | |||||||
\(24\) | 4.13830 | − | 3.06197i | 0.844726 | − | 0.625022i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 2.00742 | 0.393688 | ||||||||
\(27\) | −1.73403 | − | 4.89828i | −0.333715 | − | 0.942674i | ||||
\(28\) | 1.06836 | 0.201902 | ||||||||
\(29\) | 1.89402 | − | 1.58927i | 0.351710 | − | 0.295120i | −0.449766 | − | 0.893146i | \(-0.648493\pi\) |
0.801476 | + | 0.598026i | \(0.204048\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.369663 | − | 2.09646i | 0.0663933 | − | 0.376535i | −0.933448 | − | 0.358713i | \(-0.883216\pi\) |
0.999841 | − | 0.0178222i | \(-0.00567328\pi\) | |||||||
\(32\) | 1.27359 | − | 0.463549i | 0.225141 | − | 0.0819447i | ||||
\(33\) | −1.68319 | + | 7.00997i | −0.293005 | + | 1.22028i | ||||
\(34\) | 0.262059 | + | 1.48621i | 0.0449427 | + | 0.254883i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −0.0377853 | − | 0.721887i | −0.00629756 | − | 0.120315i | ||||
\(37\) | −4.99967 | + | 8.65969i | −0.821941 | + | 1.42364i | 0.0822930 | + | 0.996608i | \(0.473776\pi\) |
−0.904235 | + | 0.427036i | \(0.859558\pi\) | |||||||
\(38\) | 8.41252 | + | 3.06191i | 1.36469 | + | 0.496707i | ||||
\(39\) | 1.44701 | − | 2.18604i | 0.231708 | − | 0.350047i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −0.384359 | − | 0.322515i | −0.0600268 | − | 0.0503685i | 0.612281 | − | 0.790640i | \(-0.290252\pi\) |
−0.672307 | + | 0.740272i | \(0.734697\pi\) | |||||||
\(42\) | −5.62194 | + | 8.49322i | −0.867484 | + | 1.31053i | ||||
\(43\) | −0.102738 | − | 0.0373936i | −0.0156674 | − | 0.00570247i | 0.334175 | − | 0.942511i | \(-0.391542\pi\) |
−0.349842 | + | 0.936809i | \(0.613765\pi\) | |||||||
\(44\) | −0.501464 | + | 0.868561i | −0.0755985 | + | 0.130940i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 5.29460 | + | 9.17051i | 0.780646 | + | 1.35212i | ||||
\(47\) | 1.31484 | + | 7.45681i | 0.191789 | + | 1.08769i | 0.916918 | + | 0.399075i | \(0.130669\pi\) |
−0.725129 | + | 0.688613i | \(0.758220\pi\) | |||||||
\(48\) | −1.39921 | + | 5.82730i | −0.201959 | + | 0.841099i | ||||
\(49\) | −11.8952 | + | 4.32950i | −1.69932 | + | 0.618500i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 1.80735 | + | 0.785929i | 0.253080 | + | 0.110052i | ||||
\(52\) | 0.279381 | − | 0.234429i | 0.0387432 | − | 0.0325094i | ||||
\(53\) | 3.96330 | 0.544401 | 0.272201 | − | 0.962241i | \(-0.412249\pi\) | ||||
0.272201 | + | 0.962241i | \(0.412249\pi\) | |||||||
\(54\) | 5.93766 | + | 3.49833i | 0.808013 | + | 0.476063i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −10.0949 | + | 8.47063i | −1.34899 | + | 1.13194i | ||||
\(57\) | 9.39836 | − | 6.95395i | 1.24484 | − | 0.921073i | ||||
\(58\) | −0.569427 | + | 3.22938i | −0.0747695 | + | 0.424039i | ||||
\(59\) | 7.67614 | − | 2.79389i | 0.999348 | − | 0.363733i | 0.210015 | − | 0.977698i | \(-0.432649\pi\) |
0.789333 | + | 0.613965i | \(0.210426\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −2.14296 | − | 12.1533i | −0.274377 | − | 1.55607i | −0.740932 | − | 0.671580i | \(-0.765616\pi\) |
0.466555 | − | 0.884492i | \(-0.345495\pi\) | |||||||
\(62\) | 1.41170 | + | 2.44514i | 0.179286 | + | 0.310533i | ||||
\(63\) | 5.19648 | + | 12.2444i | 0.654695 | + | 1.54264i | ||||
\(64\) | −4.35880 | + | 7.54966i | −0.544850 | + | 0.943708i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −4.26604 | − | 8.55705i | −0.525113 | − | 1.05330i | ||||
\(67\) | −2.25173 | − | 1.88943i | −0.275093 | − | 0.230830i | 0.494795 | − | 0.869010i | \(-0.335243\pi\) |
−0.769887 | + | 0.638180i | \(0.779688\pi\) | |||||||
\(68\) | 0.210033 | + | 0.176238i | 0.0254702 | + | 0.0213720i | ||||
\(69\) | 13.8030 | + | 0.844680i | 1.66169 | + | 0.101688i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −3.78880 | + | 6.56240i | −0.449648 | + | 0.778814i | −0.998363 | − | 0.0571960i | \(-0.981784\pi\) |
0.548715 | + | 0.836010i | \(0.315117\pi\) | |||||||
\(72\) | 6.08060 | + | 6.52149i | 0.716605 | + | 0.768565i | ||||
\(73\) | −5.12757 | − | 8.88121i | −0.600136 | − | 1.03947i | −0.992800 | − | 0.119785i | \(-0.961780\pi\) |
0.392663 | − | 0.919682i | \(-0.371554\pi\) | |||||||
\(74\) | −2.30293 | − | 13.0605i | −0.267710 | − | 1.51826i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 1.52838 | − | 0.556283i | 0.175317 | − | 0.0638101i | ||||
\(77\) | 3.20460 | − | 18.1742i | 0.365198 | − | 2.07114i | ||||
\(78\) | 0.393490 | + | 3.45462i | 0.0445540 | + | 0.391159i | ||||
\(79\) | 3.74388 | − | 3.14149i | 0.421219 | − | 0.353445i | −0.407408 | − | 0.913246i | \(-0.633567\pi\) |
0.828627 | + | 0.559802i | \(0.189123\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 8.08966 | − | 3.94429i | 0.898851 | − | 0.438254i | ||||
\(82\) | 0.665459 | 0.0734876 | ||||||||
\(83\) | −2.78888 | + | 2.34014i | −0.306119 | + | 0.256864i | −0.782886 | − | 0.622166i | \(-0.786253\pi\) |
0.476767 | + | 0.879030i | \(0.341809\pi\) | |||||||
\(84\) | 0.209418 | + | 1.83857i | 0.0228494 | + | 0.200604i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 0.136260 | − | 0.0495947i | 0.0146933 | − | 0.00534794i | ||||
\(87\) | 3.10627 | + | 2.94793i | 0.333027 | + | 0.316052i | ||||
\(88\) | −2.14817 | − | 12.1829i | −0.228996 | − | 1.29870i | ||||
\(89\) | 5.74755 | + | 9.95505i | 0.609239 | + | 1.05523i | 0.991366 | + | 0.131123i | \(0.0418583\pi\) |
−0.382127 | + | 0.924110i | \(0.624808\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −3.35542 | + | 5.81176i | −0.351744 | + | 0.609238i | ||||
\(92\) | 1.80781 | + | 0.657989i | 0.188477 | + | 0.0686001i | ||||
\(93\) | 3.68031 | + | 0.225218i | 0.381630 | + | 0.0233540i | ||||
\(94\) | −7.69297 | − | 6.45516i | −0.793469 | − | 0.665799i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 1.04738 | + | 2.10089i | 0.106898 | + | 0.214421i | ||||
\(97\) | −7.36555 | − | 2.68084i | −0.747858 | − | 0.272198i | −0.0601538 | − | 0.998189i | \(-0.519159\pi\) |
−0.687704 | + | 0.725991i | \(0.741381\pi\) | |||||||
\(98\) | 8.39449 | − | 14.5397i | 0.847971 | − | 1.46873i | ||||
\(99\) | −12.3936 | − | 1.52256i | −1.24560 | − | 0.153023i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −1.84949 | − | 10.4890i | −0.184031 | − | 1.04369i | −0.927194 | − | 0.374581i | \(-0.877786\pi\) |
0.743163 | − | 0.669110i | \(-0.233325\pi\) | |||||||
\(102\) | −2.50628 | + | 0.742306i | −0.248159 | + | 0.0734993i | ||||
\(103\) | 7.83309 | − | 2.85101i | 0.771817 | − | 0.280918i | 0.0740609 | − | 0.997254i | \(-0.476404\pi\) |
0.697756 | + | 0.716335i | \(0.254182\pi\) | |||||||
\(104\) | −0.781165 | + | 4.43021i | −0.0765996 | + | 0.434418i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −4.02670 | + | 3.37880i | −0.391107 | + | 0.328178i | ||||
\(107\) | −12.1812 | −1.17760 | −0.588800 | − | 0.808279i | \(-0.700399\pi\) | ||||
−0.588800 | + | 0.808279i | \(0.700399\pi\) | |||||||
\(108\) | 1.23491 | − | 0.206528i | 0.118829 | − | 0.0198732i | ||||
\(109\) | −0.268688 | −0.0257356 | −0.0128678 | − | 0.999917i | \(-0.504096\pi\) | ||||
−0.0128678 | + | 0.999917i | \(0.504096\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −15.8827 | − | 6.90660i | −1.50752 | − | 0.655546i | ||||
\(112\) | 2.66395 | − | 15.1080i | 0.251719 | − | 1.42757i | ||||
\(113\) | −1.94653 | + | 0.708479i | −0.183114 | + | 0.0666481i | −0.431950 | − | 0.901898i | \(-0.642174\pi\) |
0.248836 | + | 0.968546i | \(0.419952\pi\) | |||||||
\(114\) | −3.62030 | + | 15.0775i | −0.339073 | + | 1.41214i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 0.297881 | + | 0.515944i | 0.0276575 | + | 0.0479042i | ||||
\(117\) | 4.04565 | + | 2.06170i | 0.374021 | + | 0.190604i | ||||
\(118\) | −5.41708 | + | 9.38266i | −0.498683 | + | 0.863743i | ||||
\(119\) | −4.74081 | − | 1.72551i | −0.434589 | − | 0.158178i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.84466 | + | 4.06516i | 0.440424 | + | 0.369560i | ||||
\(122\) | 12.5382 | + | 10.5208i | 1.13515 | + | 0.952508i | ||||
\(123\) | 0.479683 | − | 0.724671i | 0.0432516 | − | 0.0653414i | ||||
\(124\) | 0.482018 | + | 0.175440i | 0.0432865 | + | 0.0157550i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −15.7182 | − | 8.01010i | −1.40029 | − | 0.713597i | ||||
\(127\) | 7.59522 | + | 13.1553i | 0.673967 | + | 1.16735i | 0.976770 | + | 0.214292i | \(0.0687444\pi\) |
−0.302802 | + | 0.953053i | \(0.597922\pi\) | |||||||
\(128\) | −1.53703 | − | 8.71693i | −0.135855 | − | 0.770475i | ||||
\(129\) | 0.0442131 | − | 0.184134i | 0.00389274 | − | 0.0162121i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 0.588630 | − | 3.33829i | 0.0514289 | − | 0.291668i | −0.948236 | − | 0.317568i | \(-0.897134\pi\) |
0.999665 | + | 0.0258999i | \(0.00824510\pi\) | |||||||
\(132\) | −1.59302 | − | 0.692728i | −0.138655 | − | 0.0602942i | ||||
\(133\) | −22.9262 | + | 19.2374i | −1.98796 | + | 1.66809i | ||||
\(134\) | 3.89853 | 0.336782 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −3.38191 | −0.289997 | ||||||||
\(137\) | 14.1918 | − | 11.9084i | 1.21249 | − | 1.01740i | 0.213306 | − | 0.976985i | \(-0.431577\pi\) |
0.999183 | − | 0.0404136i | \(-0.0128676\pi\) | |||||||
\(138\) | −14.7439 | + | 10.9092i | −1.25509 | + | 0.928651i | ||||
\(139\) | 2.88601 | − | 16.3674i | 0.244788 | − | 1.38826i | −0.576197 | − | 0.817311i | \(-0.695464\pi\) |
0.820985 | − | 0.570950i | \(-0.193425\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −12.5749 | + | 3.72440i | −1.05900 | + | 0.313651i | ||||
\(142\) | −1.74518 | − | 9.89741i | −0.146452 | − | 0.830572i | ||||
\(143\) | −3.14991 | − | 5.45581i | −0.263409 | − | 0.456237i | ||||
\(144\) | −10.3026 | − | 1.26568i | −0.858551 | − | 0.105474i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 12.7810 | + | 4.65191i | 1.05776 | + | 0.384995i | ||||
\(147\) | −9.78241 | − | 19.6221i | −0.806840 | − | 1.61840i | ||||
\(148\) | −1.84573 | − | 1.54875i | −0.151718 | − | 0.127307i | ||||
\(149\) | −6.52625 | − | 5.47617i | −0.534651 | − | 0.448626i | 0.335053 | − | 0.942199i | \(-0.391246\pi\) |
−0.869704 | + | 0.493574i | \(0.835690\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 11.3452 | + | 4.12932i | 0.923259 | + | 0.336039i | 0.759534 | − | 0.650467i | \(-0.225427\pi\) |
0.163725 | + | 0.986506i | \(0.447649\pi\) | |||||||
\(152\) | −10.0310 | + | 17.3742i | −0.813621 | + | 1.40923i | ||||
\(153\) | −0.998250 | + | 3.26437i | −0.0807038 | + | 0.263909i | ||||
\(154\) | 12.2380 | + | 21.1969i | 0.986169 | + | 1.70810i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 0.458197 | + | 0.434841i | 0.0366851 | + | 0.0348152i | ||||
\(157\) | 12.2495 | − | 4.45846i | 0.977618 | − | 0.355824i | 0.196704 | − | 0.980463i | \(-0.436976\pi\) |
0.780914 | + | 0.624639i | \(0.214754\pi\) | |||||||
\(158\) | −1.12558 | + | 6.38347i | −0.0895462 | + | 0.507842i | ||||
\(159\) | 0.776877 | + | 6.82053i | 0.0616103 | + | 0.540904i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −35.3999 | −2.78990 | ||||||||
\(162\) | −4.85647 | + | 10.9040i | −0.381561 | + | 0.856698i | ||||
\(163\) | −15.2191 | −1.19205 | −0.596025 | − | 0.802966i | \(-0.703254\pi\) | ||||
−0.596025 | + | 0.802966i | \(0.703254\pi\) | |||||||
\(164\) | 0.0926146 | − | 0.0777128i | 0.00723198 | − | 0.00606835i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0.838462 | − | 4.75515i | 0.0650773 | − | 0.369072i | ||||
\(167\) | 14.9634 | − | 5.44622i | 1.15790 | − | 0.421441i | 0.309553 | − | 0.950882i | \(-0.399821\pi\) |
0.848347 | + | 0.529441i | \(0.177598\pi\) | |||||||
\(168\) | −16.5561 | − | 15.7122i | −1.27733 | − | 1.21222i | ||||
\(169\) | −1.85962 | − | 10.5464i | −0.143048 | − | 0.811264i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 13.8095 | + | 14.8108i | 1.05604 | + | 1.13261i | ||||
\(172\) | 0.0131722 | − | 0.0228149i | 0.00100437 | − | 0.00173962i | ||||
\(173\) | 12.0020 | + | 4.36838i | 0.912497 | + | 0.332122i | 0.755249 | − | 0.655437i | \(-0.227516\pi\) |
0.157248 | + | 0.987559i | \(0.449738\pi\) | |||||||
\(174\) | −5.66914 | − | 0.346925i | −0.429776 | − | 0.0263003i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 11.0322 | + | 9.25707i | 0.831580 | + | 0.697778i | ||||
\(177\) | 6.31272 | + | 12.6624i | 0.474493 | + | 0.951764i | ||||
\(178\) | −14.3264 | − | 5.21438i | −1.07381 | − | 0.390834i | ||||
\(179\) | −1.85652 | + | 3.21558i | −0.138763 | + | 0.240344i | −0.927029 | − | 0.374991i | \(-0.877646\pi\) |
0.788266 | + | 0.615335i | \(0.210979\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −1.53697 | − | 2.66211i | −0.114242 | − | 0.197873i | 0.803234 | − | 0.595663i | \(-0.203111\pi\) |
−0.917477 | + | 0.397790i | \(0.869777\pi\) | |||||||
\(182\) | −1.54556 | − | 8.76530i | −0.114564 | − | 0.649727i | ||||
\(183\) | 20.4949 | − | 6.07013i | 1.51502 | − | 0.448717i | ||||
\(184\) | −22.2989 | + | 8.11612i | −1.64389 | + | 0.598328i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −3.93118 | + | 2.90872i | −0.288248 | + | 0.213278i | ||||
\(187\) | 3.62804 | − | 3.04428i | 0.265308 | − | 0.222620i | ||||
\(188\) | −1.82450 | −0.133065 | ||||||||
\(189\) | −20.0530 | + | 11.3428i | −1.45864 | + | 0.825071i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −3.18718 | + | 2.67436i | −0.230616 | + | 0.193510i | −0.750772 | − | 0.660561i | \(-0.770318\pi\) |
0.520156 | + | 0.854071i | \(0.325874\pi\) | |||||||
\(192\) | −13.8468 | − | 6.02129i | −0.999306 | − | 0.434549i | ||||
\(193\) | 0.685014 | − | 3.88491i | 0.0493084 | − | 0.279642i | −0.950177 | − | 0.311710i | \(-0.899098\pi\) |
0.999486 | + | 0.0320682i | \(0.0102094\pi\) | |||||||
\(194\) | 9.76884 | − | 3.55557i | 0.701362 | − | 0.255275i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −0.529662 | − | 3.00386i | −0.0378330 | − | 0.214562i | ||||
\(197\) | −4.35710 | − | 7.54672i | −0.310430 | − | 0.537681i | 0.668025 | − | 0.744139i | \(-0.267140\pi\) |
−0.978456 | + | 0.206457i | \(0.933807\pi\) | |||||||
\(198\) | 13.8898 | − | 9.01886i | 0.987106 | − | 0.640943i | ||||
\(199\) | 6.70417 | − | 11.6120i | 0.475246 | − | 0.823151i | −0.524352 | − | 0.851502i | \(-0.675692\pi\) |
0.999598 | + | 0.0283510i | \(0.00902560\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 2.81018 | − | 4.24542i | 0.198215 | − | 0.299449i | ||||
\(202\) | 10.8211 | + | 9.08002i | 0.761373 | + | 0.638868i | ||||
\(203\) | −8.39770 | − | 7.04651i | −0.589403 | − | 0.494568i | ||||
\(204\) | −0.262122 | + | 0.395996i | −0.0183522 | + | 0.0277252i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −5.52784 | + | 9.57450i | −0.385143 | + | 0.667087i | ||||
\(207\) | 1.25200 | + | 23.9195i | 0.0870204 | + | 1.66252i | ||||
\(208\) | −2.61848 | − | 4.53535i | −0.181559 | − | 0.314470i | ||||
\(209\) | −4.87865 | − | 27.6682i | −0.337463 | − | 1.91385i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 3.45959 | − | 1.25919i | 0.238168 | − | 0.0866861i | −0.220179 | − | 0.975460i | \(-0.570664\pi\) |
0.458347 | + | 0.888773i | \(0.348442\pi\) | |||||||
\(212\) | −0.165832 | + | 0.940482i | −0.0113894 | + | 0.0645926i | ||||
\(213\) | −12.0361 | − | 5.23390i | −0.824697 | − | 0.358621i | ||||
\(214\) | 12.3760 | − | 10.3847i | 0.846009 | − | 0.709886i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −10.0311 | + | 11.7426i | −0.682529 | + | 0.798980i | ||||
\(217\) | −9.43869 | −0.640740 | ||||||||
\(218\) | 0.272986 | − | 0.229062i | 0.0184889 | − | 0.0155140i | ||||
\(219\) | 14.2788 | − | 10.5650i | 0.964871 | − | 0.713918i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −1.61837 | + | 0.589038i | −0.108863 | + | 0.0396230i | ||||
\(222\) | 22.0248 | − | 6.52326i | 1.47821 | − | 0.437812i | ||||
\(223\) | 1.82849 | + | 10.3699i | 0.122445 | + | 0.694417i | 0.982793 | + | 0.184711i | \(0.0591349\pi\) |
−0.860348 | + | 0.509707i | \(0.829754\pi\) | |||||||
\(224\) | −3.00463 | − | 5.20417i | −0.200755 | − | 0.347718i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 1.37367 | − | 2.37927i | 0.0913754 | − | 0.158267i | ||||
\(227\) | −24.9055 | − | 9.06486i | −1.65304 | − | 0.601656i | −0.663790 | − | 0.747919i | \(-0.731053\pi\) |
−0.989246 | + | 0.146263i | \(0.953276\pi\) | |||||||
\(228\) | 1.25691 | + | 2.52118i | 0.0832409 | + | 0.166969i | ||||
\(229\) | −8.45322 | − | 7.09309i | −0.558605 | − | 0.468725i | 0.319238 | − | 0.947675i | \(-0.396573\pi\) |
−0.877842 | + | 0.478950i | \(0.841018\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 31.9046 | + | 1.95241i | 2.09917 | + | 0.128459i | ||||
\(232\) | −6.90538 | − | 2.51335i | −0.453361 | − | 0.165010i | ||||
\(233\) | −6.70173 | + | 11.6077i | −0.439045 | + | 0.760448i | −0.997616 | − | 0.0690083i | \(-0.978016\pi\) |
0.558571 | + | 0.829457i | \(0.311350\pi\) | |||||||
\(234\) | −5.86801 | + | 1.35433i | −0.383604 | + | 0.0885356i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 0.341798 | + | 1.93843i | 0.0222492 | + | 0.126181i | ||||
\(237\) | 6.14012 | + | 5.82714i | 0.398844 | + | 0.378513i | ||||
\(238\) | 6.28768 | − | 2.28853i | 0.407570 | − | 0.148343i | ||||
\(239\) | −1.52780 | + | 8.66459i | −0.0988253 | + | 0.560466i | 0.894683 | + | 0.446702i | \(0.147402\pi\) |
−0.993508 | + | 0.113763i | \(0.963709\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −11.2282 | + | 9.42161i | −0.723274 | + | 0.606899i | −0.928289 | − | 0.371860i | \(-0.878720\pi\) |
0.205015 | + | 0.978759i | \(0.434276\pi\) | |||||||
\(242\) | −8.38779 | −0.539188 | ||||||||
\(243\) | 8.37353 | + | 13.1485i | 0.537162 | + | 0.843479i | ||||
\(244\) | 2.97362 | 0.190366 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0.130442 | + | 1.14520i | 0.00831666 | + | 0.0730155i | ||||
\(247\) | −1.77408 | + | 10.0613i | −0.112882 | + | 0.640186i | ||||
\(248\) | −5.94556 | + | 2.16401i | −0.377544 | + | 0.137415i | ||||
\(249\) | −4.57388 | − | 4.34073i | −0.289858 | − | 0.275083i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −1.91159 | − | 3.31097i | −0.120658 | − | 0.208986i | 0.799369 | − | 0.600840i | \(-0.205167\pi\) |
−0.920027 | + | 0.391854i | \(0.871834\pi\) | |||||||
\(252\) | −3.12299 | + | 0.720784i | −0.196730 | + | 0.0454052i | ||||
\(253\) | 16.6158 | − | 28.7795i | 1.04463 | − | 1.80935i | ||||
\(254\) | −18.9319 | − | 6.89065i | −1.18789 | − | 0.432358i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −4.36315 | − | 3.66112i | −0.272697 | − | 0.228820i | ||||
\(257\) | 6.25436 | + | 5.24803i | 0.390136 | + | 0.327363i | 0.816666 | − | 0.577110i | \(-0.195820\pi\) |
−0.426530 | + | 0.904473i | \(0.640264\pi\) | |||||||
\(258\) | 0.112058 | + | 0.224772i | 0.00697644 | + | 0.0139937i | ||||
\(259\) | 41.6614 | + | 15.1635i | 2.58871 | + | 0.942215i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −4.46428 | + | 5.92350i | −0.276332 | + | 0.366656i | ||||
\(262\) | 2.24792 | + | 3.89351i | 0.138877 | + | 0.240542i | ||||
\(263\) | 4.83914 | + | 27.4441i | 0.298394 | + | 1.69228i | 0.653077 | + | 0.757291i | \(0.273478\pi\) |
−0.354683 | + | 0.934987i | \(0.615411\pi\) | |||||||
\(264\) | 20.5448 | − | 6.08491i | 1.26444 | − | 0.374500i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 6.89266 | − | 39.0902i | 0.422616 | − | 2.39678i | ||||
\(267\) | −16.0052 | + | 11.8425i | −0.979505 | + | 0.724746i | ||||
\(268\) | 0.542574 | − | 0.455273i | 0.0331430 | − | 0.0278103i | ||||
\(269\) | −13.1520 | −0.801893 | −0.400947 | − | 0.916101i | \(-0.631319\pi\) | ||||
−0.400947 | + | 0.916101i | \(0.631319\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 8.19664 | 0.497911 | 0.248955 | − | 0.968515i | \(-0.419913\pi\) | ||||
0.248955 | + | 0.968515i | \(0.419913\pi\) | |||||||
\(272\) | 3.01594 | − | 2.53068i | 0.182868 | − | 0.153445i | ||||
\(273\) | −10.6593 | − | 4.63522i | −0.645132 | − | 0.280536i | ||||
\(274\) | −4.26670 | + | 24.1977i | −0.257761 | + | 1.46183i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −0.777987 | + | 3.24008i | −0.0468293 | + | 0.195030i | ||||
\(277\) | 5.06046 | + | 28.6993i | 0.304054 | + | 1.72437i | 0.627926 | + | 0.778273i | \(0.283904\pi\) |
−0.323873 | + | 0.946101i | \(0.604985\pi\) | |||||||
\(278\) | 11.0214 | + | 19.0896i | 0.661017 | + | 1.14492i | ||||
\(279\) | 0.333823 | + | 6.37767i | 0.0199855 | + | 0.381821i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −22.1793 | − | 8.07261i | −1.32311 | − | 0.481572i | −0.418655 | − | 0.908145i | \(-0.637498\pi\) |
−0.904453 | + | 0.426574i | \(0.859720\pi\) | |||||||
\(282\) | 9.60089 | − | 14.5043i | 0.571724 | − | 0.863720i | ||||
\(283\) | 15.0763 | + | 12.6506i | 0.896195 | + | 0.751997i | 0.969443 | − | 0.245317i | \(-0.0788919\pi\) |
−0.0732477 | + | 0.997314i | \(0.523336\pi\) | |||||||
\(284\) | −1.39871 | − | 1.17366i | −0.0829983 | − | 0.0696438i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 7.85149 | + | 2.85771i | 0.464268 | + | 0.168980i | ||||
\(287\) | −1.11232 | + | 1.92659i | −0.0656581 | + | 0.113723i | ||||
\(288\) | −3.41016 | + | 2.21427i | −0.200946 | + | 0.130477i | ||||
\(289\) | 7.85263 | + | 13.6012i | 0.461920 | + | 0.800068i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 3.16974 | − | 13.2010i | 0.185814 | − | 0.773858i | ||||
\(292\) | 2.32204 | − | 0.845153i | 0.135887 | − | 0.0494588i | ||||
\(293\) | 1.07189 | − | 6.07899i | 0.0626205 | − | 0.355138i | −0.937357 | − | 0.348371i | \(-0.886735\pi\) |
0.999977 | − | 0.00676709i | \(-0.00215405\pi\) | |||||||
\(294\) | 26.6671 | + | 11.5962i | 1.55526 | + | 0.676306i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 29.7196 | 1.72742 | ||||||||
\(297\) | 0.190848 | − | 21.6268i | 0.0110742 | − | 1.25491i | ||||
\(298\) | 11.2992 | 0.654545 | ||||||||
\(299\) | −9.25720 | + | 7.76772i | −0.535358 | + | 0.449219i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.0841768 | + | 0.477390i | −0.00485187 | + | 0.0275163i | ||||
\(302\) | −15.0470 | + | 5.47666i | −0.865858 | + | 0.315147i | ||||
\(303\) | 17.6882 | − | 5.23885i | 1.01616 | − | 0.300964i | ||||
\(304\) | −4.05556 | − | 23.0002i | −0.232603 | − | 1.31915i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −1.76873 | − | 4.16762i | −0.101111 | − | 0.238247i | ||||
\(307\) | −5.97167 | + | 10.3432i | −0.340821 | + | 0.590320i | −0.984585 | − | 0.174904i | \(-0.944038\pi\) |
0.643764 | + | 0.765224i | \(0.277372\pi\) | |||||||
\(308\) | 4.17861 | + | 1.52089i | 0.238098 | + | 0.0866607i | ||||
\(309\) | 6.44179 | + | 12.9213i | 0.366461 | + | 0.735067i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 19.1774 | + | 16.0917i | 1.08745 | + | 0.912478i | 0.996518 | − | 0.0833788i | \(-0.0265711\pi\) |
0.0909314 | + | 0.995857i | \(0.471016\pi\) | |||||||
\(312\) | −7.77717 | − | 0.475927i | −0.440296 | − | 0.0269440i | ||||
\(313\) | 14.4140 | + | 5.24628i | 0.814729 | + | 0.296537i | 0.715576 | − | 0.698535i | \(-0.246164\pi\) |
0.0991534 | + | 0.995072i | \(0.468387\pi\) | |||||||
\(314\) | −8.64453 | + | 14.9728i | −0.487839 | + | 0.844962i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0.588816 | + | 1.01986i | 0.0331235 | + | 0.0573716i | ||||
\(317\) | 0.0427784 | + | 0.242608i | 0.00240267 | + | 0.0136262i | 0.985986 | − | 0.166831i | \(-0.0533534\pi\) |
−0.983583 | + | 0.180457i | \(0.942242\pi\) | |||||||
\(318\) | −6.60396 | − | 6.26733i | −0.370332 | − | 0.351455i | ||||
\(319\) | 9.67037 | − | 3.51973i | 0.541437 | − | 0.197067i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −2.38773 | − | 20.9629i | −0.133270 | − | 1.17003i | ||||
\(322\) | 35.9661 | − | 30.1791i | 2.00431 | − | 1.68182i | ||||
\(323\) | −7.68055 | −0.427358 | ||||||||
\(324\) | 0.597483 | + | 2.08470i | 0.0331935 | + | 0.115816i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 15.4625 | − | 12.9746i | 0.856390 | − | 0.718597i | ||||
\(327\) | −0.0526675 | − | 0.462391i | −0.00291252 | − | 0.0255703i | ||||
\(328\) | −0.258955 | + | 1.46861i | −0.0142984 | + | 0.0810904i | ||||
\(329\) | 31.5474 | − | 11.4823i | 1.73927 | − | 0.633041i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −4.33167 | − | 24.5661i | −0.238090 | − | 1.35028i | −0.836008 | − | 0.548718i | \(-0.815116\pi\) |
0.597918 | − | 0.801558i | \(-0.295995\pi\) | |||||||
\(332\) | −0.438619 | − | 0.759710i | −0.0240723 | − | 0.0416945i | ||||
\(333\) | 8.77245 | − | 28.6867i | 0.480727 | − | 1.57202i | ||||
\(334\) | −10.5597 | + | 18.2899i | −0.577801 | + | 1.00078i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 26.5219 | + | 1.62301i | 1.44689 | + | 0.0885427i | ||||
\(337\) | −22.7032 | − | 19.0503i | −1.23672 | − | 1.03773i | −0.997773 | − | 0.0667018i | \(-0.978752\pi\) |
−0.238950 | − | 0.971032i | \(-0.576803\pi\) | |||||||
\(338\) | 10.8804 | + | 9.12976i | 0.591817 | + | 0.496594i | ||||
\(339\) | −1.60079 | − | 3.21096i | −0.0869431 | − | 0.174395i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 4.43029 | − | 7.67349i | 0.239914 | − | 0.415543i | ||||
\(342\) | −26.6568 | − | 3.27481i | −1.44144 | − | 0.177082i | ||||
\(343\) | 12.5446 | + | 21.7279i | 0.677344 | + | 1.17319i | ||||
\(344\) | 0.0564271 | + | 0.320014i | 0.00304235 | + | 0.0172540i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −15.9181 | + | 5.79373i | −0.855765 | + | 0.311473i | ||||
\(347\) | 5.18983 | − | 29.4330i | 0.278604 | − | 1.58004i | −0.448670 | − | 0.893698i | \(-0.648102\pi\) |
0.727274 | − | 0.686347i | \(-0.240787\pi\) | |||||||
\(348\) | −0.829511 | + | 0.613764i | −0.0444665 | + | 0.0329012i | ||||
\(349\) | 0.356538 | − | 0.299171i | 0.0190850 | − | 0.0160142i | −0.633195 | − | 0.773992i | \(-0.718257\pi\) |
0.652280 | + | 0.757978i | \(0.273813\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −2.75500 | + | 7.36639i | −0.147051 | + | 0.393189i | ||||
\(352\) | 5.64120 | 0.300677 | ||||||||
\(353\) | 1.25375 | − | 1.05202i | 0.0667304 | − | 0.0559934i | −0.608812 | − | 0.793314i | \(-0.708354\pi\) |
0.675543 | + | 0.737321i | \(0.263909\pi\) | |||||||
\(354\) | −17.2087 | − | 7.48321i | −0.914631 | − | 0.397728i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −2.60280 | + | 0.947342i | −0.137948 | + | 0.0502090i | ||||
\(357\) | 2.04019 | − | 8.49680i | 0.107979 | − | 0.449699i | ||||
\(358\) | −0.855141 | − | 4.84974i | −0.0451956 | − | 0.256317i | ||||
\(359\) | 9.42812 | + | 16.3300i | 0.497597 | + | 0.861863i | 0.999996 | − | 0.00277241i | \(-0.000882486\pi\) |
−0.502399 | + | 0.864636i | \(0.667549\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −13.2811 | + | 23.0035i | −0.699005 | + | 1.21071i | ||||
\(362\) | 3.83107 | + | 1.39439i | 0.201356 | + | 0.0732877i | ||||
\(363\) | −6.04618 | + | 9.13414i | −0.317342 | + | 0.479418i | ||||
\(364\) | −1.23872 | − | 1.03941i | −0.0649266 | − | 0.0544799i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −15.6478 | + | 23.6395i | −0.817922 | + | 1.23566i | ||||
\(367\) | −9.61068 | − | 3.49800i | −0.501673 | − | 0.182594i | 0.0787732 | − | 0.996893i | \(-0.474900\pi\) |
−0.580446 | + | 0.814298i | \(0.697122\pi\) | |||||||
\(368\) | 13.8125 | − | 23.9240i | 0.720029 | − | 1.24713i | ||||
\(369\) | 1.34113 | + | 0.683450i | 0.0698164 | + | 0.0355790i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −3.05143 | − | 17.3055i | −0.158422 | − | 0.898458i | ||||
\(372\) | −0.207435 | + | 0.863905i | −0.0107550 | + | 0.0447914i | ||||
\(373\) | 6.52759 | − | 2.37585i | 0.337986 | − | 0.123017i | −0.167451 | − | 0.985880i | \(-0.553554\pi\) |
0.505437 | + | 0.862864i | \(0.331331\pi\) | |||||||
\(374\) | −1.09075 | + | 6.18596i | −0.0564014 | + | 0.319868i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 17.2396 | − | 14.4658i | 0.889065 | − | 0.746014i | ||||
\(377\) | −3.74223 | −0.192735 | ||||||||
\(378\) | 10.7037 | − | 28.6199i | 0.550541 | − | 1.47205i | ||||
\(379\) | 8.93586 | 0.459004 | 0.229502 | − | 0.973308i | \(-0.426290\pi\) | ||||
0.229502 | + | 0.973308i | \(0.426290\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −21.1505 | + | 15.6495i | −1.08357 | + | 0.801747i | ||||
\(382\) | 0.958210 | − | 5.43428i | 0.0490263 | − | 0.278042i | ||||
\(383\) | −19.4731 | + | 7.08761i | −0.995026 | + | 0.362160i | −0.787665 | − | 0.616104i | \(-0.788710\pi\) |
−0.207362 | + | 0.978264i | \(0.566488\pi\) | |||||||
\(384\) | 14.6999 | − | 4.35378i | 0.750150 | − | 0.222178i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 2.61600 | + | 4.53104i | 0.133151 | + | 0.230624i | ||||
\(387\) | 0.325547 | + | 0.0399937i | 0.0165485 | + | 0.00203300i | ||||
\(388\) | 0.944347 | − | 1.63566i | 0.0479419 | − | 0.0830379i | ||||
\(389\) | −5.25158 | − | 1.91142i | −0.266266 | − | 0.0969127i | 0.205437 | − | 0.978670i | \(-0.434138\pi\) |
−0.471703 | + | 0.881758i | \(0.656361\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −6.95936 | − | 5.83960i | −0.351950 | − | 0.295321i | ||||
\(392\) | 28.8212 | + | 24.1839i | 1.45569 | + | 1.22147i | ||||
\(393\) | 5.86032 | + | 0.358624i | 0.295614 | + | 0.0180902i | ||||
\(394\) | 10.8605 | + | 3.95291i | 0.547146 | + | 0.199145i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 0.879871 | − | 2.87726i | 0.0442152 | − | 0.144588i | ||||
\(397\) | 6.78805 | + | 11.7572i | 0.340682 | + | 0.590079i | 0.984560 | − | 0.175050i | \(-0.0560086\pi\) |
−0.643877 | + | 0.765129i | \(0.722675\pi\) | |||||||
\(398\) | 3.08804 | + | 17.5132i | 0.154790 | + | 0.877856i | ||||
\(399\) | −37.6000 | − | 35.6834i | −1.88236 | − | 1.78641i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −3.34334 | + | 18.9610i | −0.166958 | + | 0.946868i | 0.780064 | + | 0.625700i | \(0.215187\pi\) |
−0.947022 | + | 0.321168i | \(0.895925\pi\) | |||||||
\(402\) | 0.764180 | + | 6.70907i | 0.0381138 | + | 0.334618i | ||||
\(403\) | −2.46826 | + | 2.07111i | −0.122953 | + | 0.103169i | ||||
\(404\) | 2.56640 | 0.127683 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 14.5393 | 0.721575 | ||||||||
\(407\) | −31.8826 | + | 26.7526i | −1.58036 | + | 1.32608i | ||||
\(408\) | −0.662914 | − | 5.82001i | −0.0328191 | − | 0.288133i | ||||
\(409\) | 1.49345 | − | 8.46979i | 0.0738464 | − | 0.418804i | −0.925364 | − | 0.379079i | \(-0.876241\pi\) |
0.999211 | − | 0.0397248i | \(-0.0126481\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 23.2752 | + | 22.0888i | 1.14808 | + | 1.08956i | ||||
\(412\) | 0.348787 | + | 1.97807i | 0.0171835 | + | 0.0974524i | ||||
\(413\) | −18.1094 | − | 31.3664i | −0.891104 | − | 1.54344i | ||||
\(414\) | −21.6639 | − | 23.2348i | −1.06472 | − | 1.14193i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −1.92766 | − | 0.701612i | −0.0945114 | − | 0.0343994i | ||||
\(417\) | 28.7327 | + | 1.75831i | 1.40705 | + | 0.0861046i | ||||
\(418\) | 28.5444 | + | 23.9516i | 1.39615 | + | 1.17151i | ||||
\(419\) | 22.8459 | + | 19.1700i | 1.11609 | + | 0.936515i | 0.998401 | − | 0.0565354i | \(-0.0180054\pi\) |
0.117694 | + | 0.993050i | \(0.462450\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 3.86135 | + | 1.40541i | 0.188190 | + | 0.0684957i | 0.434396 | − | 0.900722i | \(-0.356962\pi\) |
−0.246206 | + | 0.969218i | \(0.579184\pi\) | |||||||
\(422\) | −2.44145 | + | 4.22871i | −0.118848 | + | 0.205850i | ||||
\(423\) | −8.87430 | − | 20.9103i | −0.431483 | − | 1.01670i | ||||
\(424\) | −5.88978 | − | 10.2014i | −0.286033 | − | 0.495423i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 16.6906 | − | 4.94339i | 0.808662 | − | 0.239508i | ||||
\(427\) | −51.4168 | + | 18.7142i | −2.48823 | + | 0.905643i | ||||
\(428\) | 0.509685 | − | 2.89057i | 0.0246366 | − | 0.139721i | ||||
\(429\) | 8.77159 | − | 6.49019i | 0.423496 | − | 0.313349i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 38.4602 | 1.85256 | 0.926281 | − | 0.376833i | \(-0.122987\pi\) | ||||
0.926281 | + | 0.376833i | \(0.122987\pi\) | |||||||
\(432\) | 0.158650 | − | 17.9781i | 0.00763305 | − | 0.864972i | ||||
\(433\) | −13.0726 | −0.628230 | −0.314115 | − | 0.949385i | \(-0.601708\pi\) | ||||
−0.314115 | + | 0.949385i | \(0.601708\pi\) | |||||||
\(434\) | 9.58967 | − | 8.04669i | 0.460319 | − | 0.386253i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0.0112424 | − | 0.0637590i | 0.000538415 | − | 0.00305350i | ||||
\(437\) | −50.6423 | + | 18.4323i | −2.42255 | + | 0.881735i | ||||
\(438\) | −5.50027 | + | 22.9070i | −0.262813 | + | 1.09454i | ||||
\(439\) | 1.34135 | + | 7.60717i | 0.0640191 | + | 0.363071i | 0.999941 | + | 0.0108629i | \(0.00345783\pi\) |
−0.935922 | + | 0.352208i | \(0.885431\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 31.8506 | − | 20.6811i | 1.51669 | − | 0.984812i | ||||
\(442\) | 1.14209 | − | 1.97815i | 0.0543236 | − | 0.0940912i | ||||
\(443\) | −20.4640 | − | 7.44827i | −0.972272 | − | 0.353878i | −0.193441 | − | 0.981112i | \(-0.561965\pi\) |
−0.778831 | + | 0.627234i | \(0.784187\pi\) | |||||||
\(444\) | 2.30349 | − | 3.47994i | 0.109319 | − | 0.165151i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −10.6983 | − | 8.97692i | −0.506578 | − | 0.425069i | ||||
\(447\) | 8.14481 | − | 12.3046i | 0.385236 | − | 0.581988i | ||||
\(448\) | 36.3211 | + | 13.2198i | 1.71601 | + | 0.624577i | ||||
\(449\) | −15.4280 | + | 26.7221i | −0.728093 | + | 1.26109i | 0.229595 | + | 0.973286i | \(0.426260\pi\) |
−0.957688 | + | 0.287808i | \(0.907073\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −1.04419 | − | 1.80859i | −0.0491691 | − | 0.0851634i | ||||
\(452\) | −0.0866738 | − | 0.491552i | −0.00407679 | − | 0.0231206i | ||||
\(453\) | −4.88238 | + | 20.3336i | −0.229394 | + | 0.955358i | ||||
\(454\) | 33.0319 | − | 12.0226i | 1.55026 | − | 0.564250i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −31.8659 | − | 13.8569i | −1.49226 | − | 0.648910i | ||||
\(457\) | 24.8797 | − | 20.8765i | 1.16382 | − | 0.976564i | 0.163872 | − | 0.986482i | \(-0.447601\pi\) |
0.999951 | + | 0.00991784i | \(0.00315700\pi\) | |||||||
\(458\) | 14.6355 | 0.683870 | ||||||||
\(459\) | −5.81340 | − | 1.07804i | −0.271346 | − | 0.0503185i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 19.5612 | − | 16.4138i | 0.911056 | − | 0.764467i | −0.0612635 | − | 0.998122i | \(-0.519513\pi\) |
0.972320 | + | 0.233655i | \(0.0750685\pi\) | |||||||
\(462\) | −34.0794 | + | 25.2157i | −1.58552 | + | 1.17314i | ||||
\(463\) | −1.63666 | + | 9.28198i | −0.0760622 | + | 0.431370i | 0.922868 | + | 0.385117i | \(0.125839\pi\) |
−0.998930 | + | 0.0462526i | \(0.985272\pi\) | |||||||
\(464\) | 8.03886 | − | 2.92591i | 0.373195 | − | 0.135832i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −3.08692 | − | 17.5068i | −0.142999 | − | 0.810986i | ||||
\(467\) | 19.3386 | + | 33.4955i | 0.894885 | + | 1.54999i | 0.833947 | + | 0.551845i | \(0.186076\pi\) |
0.0609381 | + | 0.998142i | \(0.480591\pi\) | |||||||
\(468\) | −0.658514 | + | 0.873759i | −0.0304398 | + | 0.0403895i | ||||
\(469\) | −6.51642 | + | 11.2868i | −0.300900 | + | 0.521175i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 10.0738 | + | 20.2065i | 0.464176 | + | 0.931068i | ||||
\(472\) | −18.5987 | − | 15.6062i | −0.856075 | − | 0.718332i | ||||
\(473\) | −0.348600 | − | 0.292510i | −0.0160286 | − | 0.0134496i | ||||
\(474\) | −11.2061 | − | 0.685761i | −0.514713 | − | 0.0314981i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 0.607826 | − | 1.05279i | 0.0278596 | − | 0.0482543i | ||||
\(477\) | −11.5853 | + | 2.67389i | −0.530456 | + | 0.122429i | ||||
\(478\) | −5.83451 | − | 10.1057i | −0.266864 | − | 0.462223i | ||||
\(479\) | 6.46290 | + | 36.6529i | 0.295297 | + | 1.67471i | 0.665992 | + | 0.745959i | \(0.268009\pi\) |
−0.370695 | + | 0.928755i | \(0.620880\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 14.2219 | − | 5.17636i | 0.648464 | − | 0.236022i | ||||
\(482\) | 3.37571 | − | 19.1446i | 0.153760 | − | 0.872014i | ||||
\(483\) | −6.93900 | − | 60.9204i | −0.315735 | − | 2.77198i | ||||
\(484\) | −1.16736 | + | 0.979534i | −0.0530620 | + | 0.0445243i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −19.7169 | − | 6.22024i | −0.894376 | − | 0.282156i | ||||
\(487\) | 38.1901 | 1.73056 | 0.865279 | − | 0.501290i | \(-0.167141\pi\) | ||||
0.865279 | + | 0.501290i | \(0.167141\pi\) | |||||||
\(488\) | −28.0976 | + | 23.5767i | −1.27192 | + | 1.06727i | ||||
\(489\) | −2.98321 | − | 26.1909i | −0.134905 | − | 1.18439i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −0.225443 | + | 0.0820546i | −0.0101741 | + | 0.00370307i | −0.347102 | − | 0.937827i | \(-0.612834\pi\) |
0.336928 | + | 0.941530i | \(0.390612\pi\) | |||||||
\(492\) | 0.151892 | + | 0.144149i | 0.00684782 | + | 0.00649876i | ||||
\(493\) | −0.488529 | − | 2.77059i | −0.0220023 | − | 0.124781i | ||||
\(494\) | −6.77503 | − | 11.7347i | −0.304823 | − | 0.527969i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 3.68285 | − | 6.37888i | 0.165365 | − | 0.286420i | ||||
\(497\) | 31.5714 | + | 11.4911i | 1.41617 | + | 0.515445i | ||||
\(498\) | 8.34761 | + | 0.510835i | 0.374065 | + | 0.0228911i | ||||
\(499\) | −15.4596 | − | 12.9721i | −0.692067 | − | 0.580713i | 0.227438 | − | 0.973793i | \(-0.426965\pi\) |
−0.919504 | + | 0.393080i | \(0.871410\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 12.3056 | + | 24.6832i | 0.549774 | + | 1.10277i | ||||
\(502\) | 4.76484 | + | 1.73426i | 0.212665 | + | 0.0774037i | ||||
\(503\) | −10.8170 | + | 18.7357i | −0.482308 | + | 0.835382i | −0.999794 | − | 0.0203102i | \(-0.993535\pi\) |
0.517486 | + | 0.855692i | \(0.326868\pi\) | |||||||
\(504\) | 23.7941 | − | 31.5716i | 1.05988 | − | 1.40631i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 7.65351 | + | 43.4052i | 0.340240 | + | 1.92960i | ||||
\(507\) | 17.7851 | − | 5.26755i | 0.789863 | − | 0.233940i | ||||
\(508\) | −3.43953 | + | 1.25189i | −0.152604 | + | 0.0555434i | ||||
\(509\) | −3.61621 | + | 20.5086i | −0.160286 | + | 0.909026i | 0.793507 | + | 0.608561i | \(0.208253\pi\) |
−0.953793 | + | 0.300465i | \(0.902858\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −34.8315 | + | 29.2271i | −1.54085 | + | 1.29293i | ||||
\(512\) | 25.2569 | 1.11621 | ||||||||
\(513\) | −22.7813 | + | 26.6682i | −1.00582 | + | 1.17743i | ||||
\(514\) | −10.8285 | −0.477623 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 0.0418447 | + | 0.0181962i | 0.00184211 | + | 0.000801043i | ||||
\(517\) | −5.47267 | + | 31.0371i | −0.240688 | + | 1.36501i | ||||
\(518\) | −55.2551 | + | 20.1112i | −2.42777 | + | 0.883635i | ||||
\(519\) | −5.16504 | + | 21.5108i | −0.226720 | + | 0.944221i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 4.03581 | + | 6.99023i | 0.176812 | + | 0.306247i | 0.940787 | − | 0.338999i | \(-0.110088\pi\) |
−0.763975 | + | 0.645246i | \(0.776755\pi\) | |||||||
\(522\) | −0.514220 | − | 9.82416i | −0.0225068 | − | 0.429992i | ||||
\(523\) | 10.2876 | − | 17.8186i | 0.449845 | − | 0.779154i | −0.548531 | − | 0.836131i | \(-0.684813\pi\) |
0.998376 | + | 0.0569761i | \(0.0181459\pi\) | |||||||
\(524\) | 0.767539 | + | 0.279361i | 0.0335301 | + | 0.0122040i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −28.3133 | − | 23.7577i | −1.23452 | − | 1.03588i | ||||
\(527\) | −1.85558 | − | 1.55702i | −0.0808303 | − | 0.0678247i | ||||
\(528\) | −13.7682 | + | 20.8000i | −0.599185 | + | 0.905205i | ||||
\(529\) | −38.2883 | − | 13.9358i | −1.66471 | − | 0.605904i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −20.5536 | + | 13.3458i | −0.891951 | + | 0.579157i | ||||
\(532\) | −3.60571 | − | 6.24528i | −0.156327 | − | 0.270767i | ||||
\(533\) | 0.131872 | + | 0.747886i | 0.00571203 | + | 0.0323945i | ||||
\(534\) | 6.16532 | − | 25.6767i | 0.266799 | − | 1.11114i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −1.51707 | + | 8.60371i | −0.0655273 | + | 0.371624i | ||||
\(537\) | −5.89768 | − | 2.56461i | −0.254504 | − | 0.110671i | ||||
\(538\) | 13.3624 | − | 11.2124i | 0.576094 | − | 0.483400i | ||||
\(539\) | −52.6882 | −2.26944 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −36.3288 | −1.56190 | −0.780949 | − | 0.624595i | \(-0.785264\pi\) | ||||
−0.780949 | + | 0.624595i | \(0.785264\pi\) | |||||||
\(542\) | −8.32776 | + | 6.98782i | −0.357708 | + | 0.300152i | ||||
\(543\) | 4.28002 | − | 3.16683i | 0.183673 | − | 0.135902i | ||||
\(544\) | 0.267797 | − | 1.51875i | 0.0114817 | − | 0.0651159i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 14.7815 | − | 4.37794i | 0.632588 | − | 0.187359i | ||||
\(547\) | 2.24700 | + | 12.7434i | 0.0960749 | + | 0.544868i | 0.994413 | + | 0.105563i | \(0.0336643\pi\) |
−0.898338 | + | 0.439306i | \(0.855225\pi\) | |||||||
\(548\) | 2.23201 | + | 3.86596i | 0.0953468 | + | 0.165145i | ||||
\(549\) | 14.4636 | + | 34.0802i | 0.617290 | + | 1.45451i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −15.6826 | − | 5.70800i | −0.668101 | − | 0.243169i | ||||
\(552\) | −18.3382 | − | 36.7837i | −0.780525 | − | 1.56562i | ||||
\(553\) | −16.5996 | − | 13.9287i | −0.705887 | − | 0.592310i | ||||
\(554\) | −29.6082 | − | 24.8442i | −1.25793 | − | 1.05553i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 3.76318 | + | 1.36969i | 0.159594 | + | 0.0580876i | ||||
\(557\) | 8.28524 | − | 14.3505i | 0.351057 | − | 0.608049i | −0.635378 | − | 0.772201i | \(-0.719156\pi\) |
0.986435 | + | 0.164153i | \(0.0524890\pi\) | |||||||
\(558\) | −5.77627 | − | 6.19510i | −0.244529 | − | 0.262260i | ||||
\(559\) | 0.0827402 | + | 0.143310i | 0.00349954 | + | 0.00606138i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 5.95014 | + | 5.64684i | 0.251215 | + | 0.238410i | ||||
\(562\) | 29.4162 | − | 10.7066i | 1.24085 | − | 0.451631i | ||||
\(563\) | 1.76244 | − | 9.99530i | 0.0742781 | − | 0.421252i | −0.924881 | − | 0.380256i | \(-0.875836\pi\) |
0.999159 | − | 0.0409958i | \(-0.0130530\pi\) | |||||||
\(564\) | −0.357634 | − | 3.13983i | −0.0150591 | − | 0.132211i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −26.1024 | −1.09716 | ||||||||
\(567\) | −23.4509 | − | 32.2863i | −0.984846 | − | 1.35590i | ||||
\(568\) | 22.5218 | 0.944996 | ||||||||
\(569\) | 21.4282 | − | 17.9804i | 0.898317 | − | 0.753777i | −0.0715441 | − | 0.997437i | \(-0.522793\pi\) |
0.969861 | + | 0.243660i | \(0.0783482\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −3.43834 | + | 19.4998i | −0.143890 | + | 0.816041i | 0.824362 | + | 0.566064i | \(0.191534\pi\) |
−0.968252 | + | 0.249978i | \(0.919577\pi\) | |||||||
\(572\) | 1.42645 | − | 0.519185i | 0.0596428 | − | 0.0217082i | ||||
\(573\) | −5.22711 | − | 4.96067i | −0.218366 | − | 0.207235i | ||||
\(574\) | −0.512351 | − | 2.90569i | −0.0213851 | − | 0.121281i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 7.64797 | − | 25.0095i | 0.318665 | − | 1.04206i | ||||
\(577\) | −1.56447 | + | 2.70975i | −0.0651299 | + | 0.112808i | −0.896752 | − | 0.442534i | \(-0.854080\pi\) |
0.831622 | + | 0.555343i | \(0.187413\pi\) | |||||||
\(578\) | −19.5735 | − | 7.12418i | −0.814151 | − | 0.296327i | ||||
\(579\) | 6.81990 | + | 0.417346i | 0.283426 | + | 0.0173443i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 12.3653 | + | 10.3757i | 0.513000 | + | 0.430458i | ||||
\(582\) | 8.03372 | + | 16.1145i | 0.333009 | + | 0.667966i | ||||
\(583\) | 15.5014 | + | 5.64204i | 0.642001 | + | 0.233669i | ||||
\(584\) | −15.2399 | + | 26.3964i | −0.630633 | + | 1.09229i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 4.09344 | + | 7.09004i | 0.169098 | + | 0.292887i | ||||
\(587\) | −7.65127 | − | 43.3925i | −0.315802 | − | 1.79100i | −0.567688 | − | 0.823244i | \(-0.692162\pi\) |
0.251887 | − | 0.967757i | \(-0.418949\pi\) | |||||||
\(588\) | 5.06559 | − | 1.50032i | 0.208902 | − | 0.0618720i | ||||
\(589\) | −13.5028 | + | 4.91461i | −0.556372 | + | 0.202503i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 12.1333 | − | 8.97752i | 0.499095 | − | 0.369286i | ||||
\(592\) | −26.5036 | + | 22.2391i | −1.08929 | + | 0.914023i | ||||
\(593\) | −10.1063 | −0.415015 | −0.207507 | − | 0.978233i | \(-0.566535\pi\) | ||||
−0.207507 | + | 0.978233i | \(0.566535\pi\) | |||||||
\(594\) | 18.2434 | + | 22.1354i | 0.748537 | + | 0.908228i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 1.57256 | − | 1.31953i | 0.0644144 | − | 0.0540501i | ||||
\(597\) | 21.2974 | + | 9.26122i | 0.871647 | + | 0.379036i | ||||
\(598\) | 2.78313 | − | 15.7839i | 0.113811 | − | 0.645453i | ||||
\(599\) | 1.62169 | − | 0.590247i | 0.0662605 | − | 0.0241169i | −0.308677 | − | 0.951167i | \(-0.599886\pi\) |
0.374938 | + | 0.927050i | \(0.377664\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 3.60539 | + | 20.4472i | 0.147067 | + | 0.834058i | 0.965684 | + | 0.259719i | \(0.0836299\pi\) |
−0.818617 | + | 0.574339i | \(0.805259\pi\) | |||||||
\(602\) | −0.321462 | − | 0.556789i | −0.0131018 | − | 0.0226930i | ||||
\(603\) | 7.85688 | + | 4.00393i | 0.319957 | + | 0.163053i | ||||
\(604\) | −1.45458 | + | 2.51941i | −0.0591862 | + | 0.102513i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −13.5049 | + | 20.4022i | −0.548598 | + | 0.828783i | ||||
\(607\) | 1.55129 | + | 1.30168i | 0.0629648 | + | 0.0528337i | 0.673727 | − | 0.738980i | \(-0.264692\pi\) |
−0.610762 | + | 0.791814i | \(0.709137\pi\) | |||||||
\(608\) | −7.00810 | − | 5.88050i | −0.284216 | − | 0.238486i | ||||
\(609\) | 10.4804 | − | 15.8330i | 0.424687 | − | 0.641587i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 5.73024 | − | 9.92506i | 0.231821 | − | 0.401525i | ||||
\(612\) | −0.732859 | − | 0.373470i | −0.0296241 | − | 0.0150966i | ||||
\(613\) | −15.5244 | − | 26.8891i | −0.627027 | − | 1.08604i | −0.988145 | − | 0.153522i | \(-0.950938\pi\) |
0.361119 | − | 0.932520i | \(-0.382395\pi\) | |||||||
\(614\) | −2.75064 | − | 15.5997i | −0.111007 | − | 0.629551i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −51.5420 | + | 18.7598i | −2.07669 | + | 0.755852i | ||||
\(617\) | −1.47195 | + | 8.34783i | −0.0592584 | + | 0.336071i | −0.999995 | − | 0.00306626i | \(-0.999024\pi\) |
0.940737 | + | 0.339137i | \(0.110135\pi\) | |||||||
\(618\) | −17.5605 | − | 7.63621i | −0.706388 | − | 0.307174i | ||||
\(619\) | −32.3309 | + | 27.1288i | −1.29949 | + | 1.09040i | −0.309255 | + | 0.950979i | \(0.600080\pi\) |
−0.990233 | + | 0.139421i | \(0.955476\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −40.9182 | + | 6.84325i | −1.64199 | + | 0.274610i | ||||
\(622\) | −33.2027 | −1.33131 | ||||||||
\(623\) | 39.0430 | − | 32.7610i | 1.56422 | − | 1.31254i | ||||
\(624\) | 7.29171 | − | 5.39522i | 0.291902 | − | 0.215982i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −19.1172 | + | 6.95808i | −0.764076 | + | 0.278101i | ||||
\(627\) | 46.6586 | − | 13.8192i | 1.86336 | − | 0.551887i | ||||
\(628\) | 0.545438 | + | 3.09333i | 0.0217654 | + | 0.123437i | ||||
\(629\) | 5.68895 | + | 9.85355i | 0.226833 | + | 0.392887i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 14.3615 | − | 24.8748i | 0.571721 | − | 0.990250i | −0.424668 | − | 0.905349i | \(-0.639609\pi\) |
0.996389 | − | 0.0849008i | \(-0.0270573\pi\) | |||||||
\(632\) | −13.6498 | − | 4.96811i | −0.542959 | − | 0.197621i | ||||
\(633\) | 2.84511 | + | 5.70687i | 0.113083 | + | 0.226828i | ||||
\(634\) | −0.250291 | − | 0.210019i | −0.00994034 | − | 0.00834094i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −1.65100 | − | 0.101034i | −0.0654666 | − | 0.00400625i | ||||
\(637\) | 18.0042 | + | 6.55298i | 0.713351 | + | 0.259638i | ||||
\(638\) | −6.82442 | + | 11.8202i | −0.270181 | + | 0.467968i | ||||
\(639\) | 6.64785 | − | 21.7391i | 0.262985 | − | 0.859985i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −3.15096 | − | 17.8700i | −0.124456 | − | 0.705822i | −0.981630 | − | 0.190796i | \(-0.938893\pi\) |
0.857174 | − | 0.515026i | \(-0.172218\pi\) | |||||||
\(642\) | 20.2972 | + | 19.2626i | 0.801069 | + | 0.760235i | ||||
\(643\) | −14.9832 | + | 5.45343i | −0.590879 | + | 0.215062i | −0.620116 | − | 0.784510i | \(-0.712914\pi\) |
0.0292372 | + | 0.999573i | \(0.490692\pi\) | |||||||
\(644\) | 1.48120 | − | 8.40031i | 0.0583675 | − | 0.331018i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 7.80341 | − | 6.54784i | 0.307021 | − | 0.257621i | ||||
\(647\) | 13.7644 | 0.541133 | 0.270567 | − | 0.962701i | \(-0.412789\pi\) | ||||
0.270567 | + | 0.962701i | \(0.412789\pi\) | |||||||
\(648\) | −22.1743 | − | 14.9610i | −0.871090 | − | 0.587723i | ||||
\(649\) | 34.0004 | 1.33463 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −1.85015 | − | 16.2433i | −0.0725131 | − | 0.636624i | ||||
\(652\) | 0.636797 | − | 3.61146i | 0.0249389 | − | 0.141436i | ||||
\(653\) | 15.9602 | − | 5.80905i | 0.624573 | − | 0.227326i | −0.0102948 | − | 0.999947i | \(-0.503277\pi\) |
0.634867 | + | 0.772621i | \(0.281055\pi\) | |||||||
\(654\) | 0.447708 | + | 0.424887i | 0.0175068 | + | 0.0166144i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −0.868024 | − | 1.50346i | −0.0338907 | − | 0.0587003i | ||||
\(657\) | 20.9805 | + | 22.5018i | 0.818527 | + | 0.877877i | ||||
\(658\) | −22.2631 | + | 38.5609i | −0.867907 | + | 1.50326i | ||||
\(659\) | 10.6118 | + | 3.86239i | 0.413378 | + | 0.150457i | 0.540333 | − | 0.841451i | \(-0.318298\pi\) |
−0.126955 | + | 0.991908i | \(0.540520\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −2.63000 | − | 2.20683i | −0.102295 | − | 0.0858358i | 0.590206 | − | 0.807253i | \(-0.299047\pi\) |
−0.692501 | + | 0.721417i | \(0.743491\pi\) | |||||||
\(662\) | 25.3441 | + | 21.2662i | 0.985027 | + | 0.826535i | ||||
\(663\) | −1.33092 | − | 2.66962i | −0.0516885 | − | 0.103680i | ||||
\(664\) | 10.1679 | + | 3.70083i | 0.394592 | + | 0.143620i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 15.5433 | + | 36.6243i | 0.602289 | + | 1.41916i | ||||
\(667\) | −9.87018 | − | 17.0957i | −0.382175 | − | 0.661946i | ||||
\(668\) | 0.666279 | + | 3.77865i | 0.0257791 | + | 0.146201i | ||||
\(669\) | −17.4873 | + | 5.17936i | −0.676099 | + | 0.200246i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 8.91950 | − | 50.5850i | 0.344334 | − | 1.95281i | ||||
\(672\) | 8.36702 | − | 6.19084i | 0.322765 | − | 0.238817i | ||||
\(673\) | −20.0688 | + | 16.8397i | −0.773595 | + | 0.649123i | −0.941627 | − | 0.336658i | \(-0.890703\pi\) |
0.168032 | + | 0.985782i | \(0.446259\pi\) | |||||||
\(674\) | 39.3071 | 1.51405 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 2.58045 | 0.0992482 | ||||||||
\(677\) | 14.4837 | − | 12.1532i | 0.556653 | − | 0.467087i | −0.320534 | − | 0.947237i | \(-0.603862\pi\) |
0.877186 | + | 0.480150i | \(0.159418\pi\) | |||||||
\(678\) | 4.36381 | + | 1.89761i | 0.167591 | + | 0.0728772i | ||||
\(679\) | −6.03484 | + | 34.2253i | −0.231596 | + | 1.31345i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 10.7180 | − | 44.6373i | 0.410715 | − | 1.71051i | ||||
\(682\) | 2.04066 | + | 11.5732i | 0.0781409 | + | 0.443159i | ||||
\(683\) | 12.2251 | + | 21.1745i | 0.467782 | + | 0.810222i | 0.999322 | − | 0.0368112i | \(-0.0117200\pi\) |
−0.531541 | + | 0.847033i | \(0.678387\pi\) | |||||||
\(684\) | −4.09238 | + | 2.65724i | −0.156476 | + | 0.101602i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −31.2687 | − | 11.3809i | −1.19385 | − | 0.434524i | ||||
\(687\) | 10.5497 | − | 15.9377i | 0.402496 | − | 0.608062i | ||||
\(688\) | −0.289787 | − | 0.243160i | −0.0110480 | − | 0.00927039i | ||||
\(689\) | −4.59528 | − | 3.85590i | −0.175066 | − | 0.146898i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 17.7400 | + | 6.45685i | 0.674863 | + | 0.245630i | 0.656640 | − | 0.754204i | \(-0.271977\pi\) |
0.0182226 | + | 0.999834i | \(0.494199\pi\) | |||||||
\(692\) | −1.53880 | + | 2.66527i | −0.0584962 | + | 0.101318i | ||||
\(693\) | 2.89391 | + | 55.2880i | 0.109931 | + | 2.10022i | ||||
\(694\) | 19.8194 | + | 34.3282i | 0.752334 | + | 1.30308i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 2.97171 | − | 12.3763i | 0.112642 | − | 0.469122i | ||||
\(697\) | −0.536487 | + | 0.195265i | −0.0203209 | + | 0.00739620i | ||||
\(698\) | −0.107191 | + | 0.607913i | −0.00405725 | + | 0.0230098i | ||||
\(699\) | −21.2897 | − | 9.25785i | −0.805250 | − | 0.350164i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −21.8730 | −0.826131 | −0.413066 | − | 0.910701i | \(-0.635542\pi\) | ||||
−0.413066 | + | 0.910701i | \(0.635542\pi\) | |||||||
\(702\) | −3.48094 | − | 9.83292i | −0.131380 | − | 0.371120i | ||||
\(703\) | 67.4954 | 2.54564 | ||||||||
\(704\) | −27.7957 | + | 23.3234i | −1.04759 | + | 0.879034i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −0.376934 | + | 2.13770i | −0.0141861 | + | 0.0804533i | ||||
\(707\) | −44.3755 | + | 16.1514i | −1.66891 | + | 0.607435i | ||||
\(708\) | −3.26890 | + | 0.968175i | −0.122853 | + | 0.0363863i | ||||
\(709\) | −5.59910 | − | 31.7541i | −0.210279 | − | 1.19255i | −0.888914 | − | 0.458074i | \(-0.848539\pi\) |
0.678636 | − | 0.734475i | \(-0.262572\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −8.82449 | + | 11.7089i | −0.330944 | + | 0.439118i | ||||
\(712\) | 17.0826 | − | 29.5880i | 0.640198 | − | 1.10886i | ||||
\(713\) | −15.9715 | − | 5.81315i | −0.598138 | − | 0.217704i | ||||
\(714\) | 5.17088 | + | 10.3720i | 0.193515 | + | 0.388163i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −0.685371 | − | 0.575094i | −0.0256135 | − | 0.0214923i | ||||
\(717\) | −15.2106 | − | 0.930816i | −0.568049 | − | 0.0347620i | ||||
\(718\) | −23.5006 | − | 8.55352i | −0.877035 | − | 0.319214i | ||||
\(719\) | 21.9733 | − | 38.0589i | 0.819467 | − | 1.41936i | −0.0866093 | − | 0.996242i | \(-0.527603\pi\) |
0.906076 | − | 0.423115i | \(-0.139063\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −18.4796 | − | 32.0077i | −0.688218 | − | 1.19203i | ||||
\(722\) | −6.11747 | − | 34.6939i | −0.227669 | − | 1.29117i | ||||
\(723\) | −18.4148 | − | 17.4761i | −0.684854 | − | 0.649944i | ||||
\(724\) | 0.696024 | − | 0.253332i | 0.0258675 | − | 0.00941501i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −1.64416 | − | 14.4347i | −0.0610203 | − | 0.535724i | ||||
\(727\) | 6.81176 | − | 5.71575i | 0.252634 | − | 0.211985i | −0.507671 | − | 0.861551i | \(-0.669494\pi\) |
0.760306 | + | 0.649565i | \(0.225049\pi\) | |||||||
\(728\) | 19.9457 | 0.739237 | ||||||||
\(729\) | −20.9863 | + | 16.9875i | −0.777269 | + | 0.629168i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −0.0952994 | + | 0.0799657i | −0.00352478 | + | 0.00295764i | ||||
\(732\) | 0.582882 | + | 5.11737i | 0.0215439 | + | 0.189143i | ||||
\(733\) | −0.294938 | + | 1.67268i | −0.0108938 | + | 0.0617818i | −0.989770 | − | 0.142672i | \(-0.954431\pi\) |
0.978876 | + | 0.204454i | \(0.0655418\pi\) | |||||||
\(734\) | 12.7465 | − | 4.63936i | 0.470483 | − | 0.171242i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −1.87906 | − | 10.6567i | −0.0692629 | − | 0.392809i | ||||
\(737\) | −6.11730 | − | 10.5955i | −0.225334 | − | 0.390289i | ||||
\(738\) | −1.94524 | + | 0.448960i | −0.0716052 | + | 0.0165265i | ||||
\(739\) | −20.4924 | + | 35.4939i | −0.753826 | + | 1.30566i | 0.192130 | + | 0.981369i | \(0.438460\pi\) |
−0.945956 | + | 0.324295i | \(0.894873\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −17.6625 | − | 1.08086i | −0.648848 | − | 0.0397065i | ||||
\(742\) | 17.8536 | + | 14.9809i | 0.655426 | + | 0.549967i | ||||
\(743\) | 40.7602 | + | 34.2019i | 1.49535 | + | 1.25475i | 0.887600 | + | 0.460614i | \(0.152371\pi\) |
0.607747 | + | 0.794131i | \(0.292074\pi\) | |||||||
\(744\) | −4.88953 | − | 9.80767i | −0.179259 | − | 0.359567i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −4.60655 | + | 7.97877i | −0.168658 | + | 0.292124i | ||||
\(747\) | 6.57351 | − | 8.72215i | 0.240512 | − | 0.319127i | ||||
\(748\) | 0.570598 | + | 0.988304i | 0.0208631 | + | 0.0361360i | ||||
\(749\) | 9.37857 | + | 53.1885i | 0.342685 | + | 1.94347i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 15.4986 | − | 5.64104i | 0.565554 | − | 0.205845i | −0.0433900 | − | 0.999058i | \(-0.513816\pi\) |
0.608944 | + | 0.793214i | \(0.291594\pi\) | |||||||
\(752\) | −4.54937 | + | 25.8007i | −0.165898 | + | 0.940856i | ||||
\(753\) | 5.32321 | − | 3.93870i | 0.193989 | − | 0.143534i | ||||
\(754\) | 3.80210 | − | 3.19034i | 0.138464 | − | 0.116185i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −1.85258 | − | 5.23314i | −0.0673775 | − | 0.190327i | ||||
\(757\) | 5.75782 | 0.209271 | 0.104636 | − | 0.994511i | \(-0.466632\pi\) | ||||
0.104636 | + | 0.994511i | \(0.466632\pi\) | |||||||
\(758\) | −9.07880 | + | 7.61802i | −0.329757 | + | 0.276699i | ||||
\(759\) | 52.7843 | + | 22.9533i | 1.91595 | + | 0.833152i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −35.1758 | + | 12.8029i | −1.27512 | + | 0.464106i | −0.888816 | − | 0.458265i | \(-0.848471\pi\) |
−0.386305 | + | 0.922371i | \(0.626249\pi\) | |||||||
\(762\) | 8.14730 | − | 33.9311i | 0.295145 | − | 1.22919i | ||||
\(763\) | 0.206869 | + | 1.17321i | 0.00748914 | + | 0.0424730i | ||||
\(764\) | −0.501262 | − | 0.868212i | −0.0181350 | − | 0.0314108i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 13.7422 | − | 23.8022i | 0.496526 | − | 0.860008i | ||||
\(767\) | −11.6183 | − | 4.22873i | −0.419514 | − | 0.152690i | ||||
\(768\) | 5.44525 | − | 8.22630i | 0.196489 | − | 0.296841i | ||||
\(769\) | 13.8998 | + | 11.6633i | 0.501239 | + | 0.420589i | 0.858034 | − | 0.513593i | \(-0.171686\pi\) |
−0.356795 | + | 0.934183i | \(0.616130\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −7.80549 | + | 11.7920i | −0.281108 | + | 0.424678i | ||||
\(772\) | 0.893218 | + | 0.325105i | 0.0321476 | + | 0.0117008i | ||||
\(773\) | 11.0792 | − | 19.1897i | 0.398490 | − | 0.690206i | −0.595049 | − | 0.803689i | \(-0.702868\pi\) |
0.993540 | + | 0.113483i | \(0.0362009\pi\) | |||||||
\(774\) | −0.364850 | + | 0.236903i | −0.0131143 | + | 0.00851530i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) |